Subgroups — #28293323

Order 13568.

7498 conjugacy classes of subgroups.

The subgroup lattice has 2374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289062	C₂	1	4	yes	maximal, complemented
2	#20289040	C₂	1	4	yes	maximal, complemented
3	#20289036	C₂	1	4	yes	maximal, complemented
4	#20289026	C₂	1	4	yes	maximal, complemented
5	#20289018	C₂	1	4	yes	maximal, complemented
6	#20289016	C₂	1	4	yes	maximal, complemented
7	#20288897	C₂	1	4	yes	maximal, complemented
8	#20288893	C₂	1	4	yes	maximal, complemented
9	#20288879	C₂	1	4	yes	maximal, complemented
10	#20288874	C₂	1	4	yes	maximal, complemented
11	#20288870	C₂	1	4	yes	maximal, complemented
12	#20288865	C₂	1	4	yes	maximal, complemented
13	#20288412	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288408	C₂	1	1	yes	maximal, characteristic, complemented
15	#20288403	C₂	1	1	yes	maximal, characteristic, complemented
16	#20288402	C₂	1	1	yes	maximal, characteristic, complemented
17	#20288402	C₂	1	1	yes	maximal, characteristic, complemented
18	#20288400	C₂	1	1	yes	maximal, characteristic, complemented
19	#20288356	C₂	1	1	yes	maximal, characteristic, complemented
20	#20288355	C₂	1	1	yes	maximal, characteristic, complemented
21	#20288350	C₂	1	1	yes	maximal, characteristic, complemented
22	#20288347	C₂	1	1	yes	maximal, characteristic, complemented
23	#20288346	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811188	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811183	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811182	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#13133262	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#11719947	C₂²	1	1	yes	characteristic, complemented
30	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
31	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
32	#16811374	C₂²	1	4	yes	complemented
33	#16811370	C₂²	1	4	yes	complemented
34	#16811369	C₂²	1	4	yes	complemented
35	#16811368	C₂²	1	4	yes	complemented
36	#16811368	C₂²	1	4	yes	complemented
37	#16811368	C₂²	1	4	yes	complemented
38	#16811367	C₂²	1	4	yes	complemented
39	#16811366	C₂²	1	4	yes	complemented
40	#16811362	C₂²	1	4	yes	complemented
41	#16811362	C₂²	1	4	yes	complemented
42	#16811362	C₂²	1	4	yes	complemented
43	#16811362	C₂²	1	4	yes	complemented
44	#16811361	C₂²	1	4	yes	complemented
45	#16811361	C₂²	1	4	yes	complemented
46	#16811361	C₂²	1	4	yes	complemented
47	#16811360	C₂²	1	4	yes	complemented
48	#16811356	C₂²	1	4	yes	complemented
49	#16811337	C₂²	1	4	yes	complemented
50	#16811335	C₂²	1	4	yes	complemented
51	#16811323	C₂²	1	4	yes	complemented
52	#16811322	C₂²	1	4	yes	complemented
53	#16811318	C₂²	1	4	yes	complemented
54	#16811316	C₂²	1	4	yes	complemented
55	#16811313	C₂²	1	4	yes	complemented
56	#16811310	C₂²	1	4	yes	complemented
57	#16811310	C₂²	1	4	yes	complemented
58	#16811306	C₂²	1	4	yes	complemented
59	#16811304	C₂²	1	4	yes	complemented
60	#16811304	C₂²	1	4	yes	complemented
61	#16811304	C₂²	1	4	yes	complemented
62	#16811304	C₂²	1	4	yes	complemented
63	#16811302	C₂²	1	4	yes	complemented
64	#16811302	C₂²	1	4	yes	complemented
65	#16811302	C₂²	1	4	yes	complemented
66	#16811299	C₂²	1	4	yes	complemented
67	#16811299	C₂²	1	4	yes	complemented
68	#16811299	C₂²	1	4	yes	complemented
69	#16811299	C₂²	1	4	yes	complemented
70	#16811297	C₂²	1	4	yes	complemented
71	#16811296	C₂²	1	4	yes	complemented
72	#16811296	C₂²	1	4	yes	complemented
73	#16811293	C₂²	1	4	yes	complemented
74	#16811291	C₂²	1	4	yes	complemented
75	#16811273	C₂²	1	4	yes	complemented
76	#16811272	C₂²	1	4	yes	complemented
77	#16811272	C₂²	1	4	yes	complemented
78	#16811271	C₂²	1	4	yes	complemented
79	#16811269	C₂²	1	4	yes	complemented
80	#16811267	C₂²	1	4	yes	complemented
81	#16811267	C₂²	1	4	yes	complemented
82	#16811267	C₂²	1	4	yes	complemented
83	#16811267	C₂²	1	4	yes	complemented
84	#16811267	C₂²	1	4	yes	complemented
85	#16811267	C₂²	1	4	yes	complemented
86	#16811267	C₂²	1	4	yes	complemented
87	#16811265	C₂²	1	4	yes	complemented
88	#16811263	C₂²	1	4	yes	complemented
89	#16811263	C₂²	1	4	yes	complemented
90	#16811262	C₂²	1	4	yes	complemented
91	#16811262	C₂²	1	4	yes	complemented
92	#16811262	C₂²	1	4	yes	complemented
93	#16811261	C₂²	1	4	yes	complemented
94	#16811261	C₂²	1	4	yes	complemented
95	#16811260	C₂²	1	4	yes	complemented
96	#16811260	C₂²	1	4	yes	complemented
97	#16811260	C₂²	1	4	yes	complemented
98	#16811260	C₂²	1	4	yes	complemented
99	#16811260	C₂²	1	4	yes	complemented
100	#16811260	C₂²	1	4	yes	complemented
101	#16811257	C₂²	1	4	yes	complemented
102	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
103	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
104	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
105	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
106	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
107	#16811255	C₂²	1	4	yes	complemented
108	#16811249	C₂²	1	1	yes	characteristic, complemented
109	#16811249	C₂²	1	1	yes	characteristic, complemented
110	#16811243	C₂²	1	4	yes	complemented
111	#16811241	C₂²	1	4	yes	complemented
112	#16811238	C₂²	1	4	yes	complemented
113	#16811237	C₂²	1	4	yes	complemented
114	#16811227	C₂²	1	4	yes	complemented
115	#16811226	C₂²	1	4	yes	complemented
116	#16811225	C₂²	1	4	yes	complemented
117	#16811224	C₂²	1	4	yes	complemented
118	#16811223	C₂²	1	4	yes	complemented
119	#16811223	C₂²	1	4	yes	complemented
120	#16811223	C₂²	1	4	yes	complemented
121	#16811223	C₂²	1	4	yes	complemented
122	#16811219	C₂²	1	4	yes	complemented
123	#16811218	C₂²	1	4	yes	complemented
124	#16811215	C₂²	1	4	yes	complemented
125	#16811215	C₂²	1	4	yes	complemented
126	#16811211	C₂²	1	4	yes	complemented
127	#16811211	C₂²	1	4	yes	complemented
128	#16811210	C₂²	1	4	yes	complemented
129	#16811210	C₂²	1	4	yes	complemented
130	#16811208	C₂²	1	4	yes	complemented
131	#16811208	C₂²	1	4	yes	complemented
132	#16811208	C₂²	1	4	yes	complemented
133	#16811208	C₂²	1	4	yes	complemented
134	#16811208	C₂²	1	4	yes	complemented
135	#16811207	C₂²	1	4	yes	complemented
136	#16811206	C₂²	1	4	yes	complemented
137	#16811206	C₂²	1	4	yes	complemented
138	#16811205	C₂²	1	4	yes	complemented
139	#16811205	C₂²	1	4	yes	complemented
140	#16811202	C₂²	1	4	yes	complemented
141	#16811200	C₂²	1	4	yes	complemented
142	#16811195	C₂²	1	2	yes	complemented
143	#16811194	C₂²	1	2	yes	complemented
144	#16811190	C₂²	1	2	yes	complemented
145	#16811190	C₂²	1	4	yes	complemented
146	#16811188	C₂²	1	2	yes	complemented
147	#16811188	C₂²	1	4	yes	complemented
148	#16811188	C₂²	1	4	yes	complemented
149	#16811188	C₂²	1	4	yes	complemented
150	#16811188	C₂²	1	4	yes	complemented
151	#16811188	C₂²	1	4	yes	complemented
152	#16811188	C₂²	1	4	yes	complemented
153	#16811187	C₂²	1	2	yes	complemented
154	#16811186	C₂²	1	4	yes	complemented
155	#16811184	C₂²	1	2	yes	complemented
156	#16811183	C₂²	1	4	yes	complemented
157	#16811183	C₂²	1	4	yes	complemented
158	#16811183	C₂²	1	4	yes	complemented
159	#16811183	C₂²	1	4	yes	complemented
160	#16811183	C₂²	1	4	yes	complemented
161	#16811183	C₂²	1	2	yes	complemented
162	#16811182	C₂²	1	1	yes	characteristic
163	#16811182	C₂²	1	4	yes	complemented
164	#16811182	C₂²	1	4	yes	complemented
165	#16811182	C₂²	1	1	yes	characteristic, complemented
166	#16811182	C₂²	1	1	yes	characteristic, complemented
167	#16811182	C₂²	1	1	yes	characteristic, complemented
168	#16811182	C₂²	1	2	yes	complemented
169	#16811182	C₂²	1	2	yes	complemented
170	#16811182	C₂²	1	4	yes	complemented
171	#16811182	C₂²	1	4	yes	complemented
172	#16811182	C₂²	1	4	yes	complemented
173	#16811182	C₂²	1	2	yes	complemented
174	C₂×#13133213	C₂²	1	2	yes	complemented
175	#16811154	C₂²	1	4	yes	complemented
176	#16811153	C₂²	1	4	yes	complemented
177	C₂×#13133203	C₂²	1	2	yes	complemented
178	#16811134	C₂²	1	2	yes	complemented
179	#16811133	C₂²	1	4	yes	complemented
180	#16811132	C₂²	1	4	yes	complemented
181	#16811131	C₂²	1	2	yes	complemented
182	#16811130	C₂²	1	2	yes	complemented
183	#16811130	C₂²	1	2	yes	complemented
184	#16811129	C₂²	1	4	yes	complemented
185	#16811129	C₂²	1	4	yes	complemented
186	#16811129	C₂²	1	2	yes	complemented
187	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
188	C₂×#13133200	C₂²	1	2	yes	complemented
189	C₂×#13133199	C₂²	1	2	yes	complemented
190	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
191	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
192	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
193	C₂×#13133198	C₂²	1	2	yes	complemented
194	#123×D₅₃	C₂²	1	2	yes	complemented
195	C₂×#13133190	C₂²	1	2	yes	complemented
196	C₂×#13133190	C₂²	1	2	yes	complemented
197	C₂×#13133189	C₂²	1	2	yes	complemented
198	C₂×#13133189	C₂²	1	2	yes	complemented
199	C₂×#13133189	C₂²	1	2	yes	complemented
200	C₂×#13133188	C₂²	1	2	yes	complemented
201	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
202	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
203	C₂×#13133186	C₂²	1	1	yes	characteristic, complemented
204	C₂×#13133186	C₂²	1	2	yes	complemented
205	C₂×#13133186	C₂²	1	2	yes	complemented
206	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
207	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
208	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
209	C₂×#13133185	C₂²	1	2	yes	complemented
210	C₂×#13133185	C₂²	1	2	yes	complemented
211	#120×D₅₃	C₂²	1	2	yes	complemented
212	#16811098	C₂²	1	1	yes	characteristic, complemented
213	#16811098	C₂²	1	1	yes	characteristic, complemented
214	#16811098	C₂²	1	1	yes	characteristic, complemented
215	#16811096	C₂²	1	1	yes	characteristic, complemented
216	#16811096	C₂²	1	1	yes	characteristic, complemented
217	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
219	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
220	C₂×H(5,𝔽₂)×C₅₃	C₂²	1	1	yes	characteristic, complemented
221	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
222	C₅₃×#546	C₂²	1	4	yes	complemented
223	C₅₃×#546	C₂²	1	4	yes	complemented
224	D₄²×C₅₃	C₂²	1	4	yes	complemented
225	D₄²×C₅₃	C₂²	1	4	yes	complemented
226	C₅₃×#535	C₂²	1	2	yes	complemented
227	C₅₃×#534	C₂²	1	1	yes	characteristic
228	C₅₃×#534	C₂²	1	1	yes	characteristic, complemented
229	C₅₃×#534	C₂²	1	2	yes	complemented
230	C₅₃×#525	C₂²	1	2	yes	complemented
231	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
232	C₂×#120×C₅₃	C₂²	1	1	yes	characteristic, complemented
233	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
234	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
235	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
236	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic, complemented
237	#13133262	—	4	4	no	—
238	C₂×#11719945	C₂³	1	2	yes	—
239	C₂×#11719945	C₂³	1	4	yes	complemented
240	C₂×#11719947	—	4	4	no	—
241	C₂×#11719947	C₂³	1	2	yes	—
242	C₂×#11719947	C₂³	1	2	yes	—
243	C₂×#11719947	C₂³	1	4	yes	complemented
244	C₂×#11719947	C₂³	1	4	yes	complemented
245	C₂×#11719947	C₂³	1	4	yes	complemented
246	C₂×#11719947	C₂³	1	4	yes	complemented
247	C₂×#11719947	C₂³	1	4	yes	complemented
248	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
249	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
250	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
251	C₂²×C₂²⋊D₅₃	—	4	4	no	—
252	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
254	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
255	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
256	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
257	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
258	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
259	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
260	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
261	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
262	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
263	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
264	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
265	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
266	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
267	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
268	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
269	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
270	C₂×D₄×D₅₃	—	4	4	no	—
271	C₂×D₄×D₅₃	C₂³	1	4	yes	—
272	C₂×D₄×D₅₃	C₂³	1	2	yes	—
273	C₂×D₄×D₅₃	C₂³	1	2	yes	—
274	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
275	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
276	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
277	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
278	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
279	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
280	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
281	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
282	#13133216	C₂³	1	4	yes	complemented
283	#13133215	C₂³	1	4	yes	complemented
284	#13133213	C₂³	1	4	yes	—
285	#13133213	C₂³	1	4	yes	complemented
286	#13133213	C₂³	1	4	yes	complemented
287	#13133213	C₂³	1	4	yes	complemented
288	#13133213	C₂³	1	4	yes	complemented
289	#13133213	C₂³	1	4	yes	complemented
290	#13133213	C₂³	1	4	yes	complemented
291	#13133212	C₂³	1	4	yes	complemented
292	#13133212	C₂³	1	4	yes	complemented
293	#13133212	C₂³	1	4	yes	complemented
294	#13133212	C₂³	1	4	yes	complemented
295	#13133211	C₂³	1	4	yes	complemented
296	#13133211	C₂³	1	4	yes	complemented
297	#13133210	C₂³	1	4	yes	complemented
298	#13133210	C₂³	1	4	yes	complemented
299	#13133210	C₂³	1	4	yes	complemented
300	#13133210	C₂³	1	4	yes	complemented
301	#13133210	C₂³	1	4	yes	complemented
302	#13133210	C₂³	1	4	yes	complemented
303	#13133210	C₂³	1	4	yes	complemented
304	#13133210	C₂³	1	4	yes	complemented
305	#13133210	C₂³	1	4	yes	complemented
306	#13133210	C₂³	1	4	yes	complemented
307	#13133209	C₂³	1	4	yes	complemented
308	#13133208	C₂³	1	4	yes	complemented
309	#13133207	C₂³	1	4	yes	complemented
310	#13133207	C₂³	1	4	yes	complemented
311	#13133207	C₂³	1	4	yes	complemented
312	#13133207	C₂³	1	4	yes	complemented
313	#13133206	C₂³	1	4	yes	complemented
314	#13133205	C₂³	1	4	yes	complemented
315	#13133204	C₂³	1	4	yes	complemented
316	#13133204	C₂³	1	4	yes	complemented
317	#13133204	C₂³	1	4	yes	complemented
318	#13133204	C₂³	1	4	yes	complemented
319	#13133204	C₂³	1	4	yes	complemented
320	#13133203	C₂³	1	4	yes	—
321	#13133203	C₂³	1	4	yes	complemented
322	#13133203	C₂³	1	4	yes	complemented
323	#13133203	C₂³	1	4	yes	complemented
324	#13133203	C₂³	1	4	yes	complemented
325	#13133203	C₂³	1	4	yes	complemented
326	#13133203	C₂³	1	4	yes	complemented
327	#13133203	C₂³	1	4	yes	complemented
328	#13133203	C₂³	1	4	yes	complemented
329	#13133203	C₂³	1	4	yes	complemented
330	#13133203	C₂³	1	4	yes	complemented
331	#13133203	C₂³	1	4	yes	complemented
332	#13133202	C₂³	1	4	yes	complemented
333	#13133202	C₂³	1	4	yes	complemented
334	#13133202	C₂³	1	4	yes	complemented
335	#13133202	C₂³	1	4	yes	complemented
336	#13133201	C₂³	1	4	yes	—
337	#13133201	C₂³	1	4	yes	complemented
338	#13133201	C₂³	1	4	yes	complemented
339	#13133201	C₂³	1	4	yes	complemented
340	#13133201	C₂³	1	4	yes	complemented
341	#13133201	C₂³	1	2	yes	complemented
342	#13133201	C₂³	1	2	yes	complemented
343	#13133200	C₂³	1	4	yes	—
344	#13133200	C₂³	1	2	yes	—
345	#13133200	C₂³	1	4	yes	—
346	#13133200	C₂³	1	2	yes	complemented
347	#13133200	C₂³	1	2	yes	complemented
348	#13133200	C₂³	1	4	yes	complemented
349	#13133200	C₂³	1	2	yes	complemented
350	#13133200	C₂³	1	4	yes	complemented
351	#13133200	C₂³	1	4	yes	complemented
352	#13133200	C₂³	1	4	yes	complemented
353	#13133200	C₂³	1	4	yes	complemented
354	#13133200	C₂³	1	4	yes	complemented
355	#13133199	C₂³	1	4	yes	—
356	#13133199	C₂³	1	4	yes	—
357	#13133199	C₂³	1	4	yes	complemented
358	#13133199	C₂³	1	4	yes	complemented
359	#13133199	C₂³	1	4	yes	complemented
360	#13133199	C₂³	1	4	yes	complemented
361	#13133199	C₂³	1	4	yes	complemented
362	#13133199	C₂³	1	4	yes	complemented
363	#13133199	C₂³	1	4	yes	complemented
364	#13133199	C₂³	1	4	yes	complemented
365	#13133199	C₂³	1	4	yes	complemented
366	#13133199	C₂³	1	4	yes	complemented
367	#13133198	C₂³	1	2	yes	—
368	#13133198	C₂³	1	4	yes	—
369	#13133198	C₂³	1	4	yes	—
370	#13133198	C₂³	1	4	yes	—
371	#13133198	C₂³	1	2	yes	complemented
372	#13133198	C₂³	1	4	yes	complemented
373	#13133198	C₂³	1	4	yes	complemented
374	#13133198	C₂³	1	4	yes	complemented
375	#13133198	C₂³	1	4	yes	complemented
376	#13133198	C₂³	1	4	yes	complemented
377	#13133198	C₂³	1	4	yes	complemented
378	#13133198	C₂³	1	4	yes	complemented
379	#13133198	C₂³	1	4	yes	complemented
380	#13133198	C₂³	1	2	yes	complemented
381	#13133198	C₂³	1	4	yes	complemented
382	#13133198	C₂³	1	2	yes	complemented
383	#13133198	C₂³	1	2	yes	complemented
384	#13133198	C₂³	1	2	yes	complemented
385	#13133198	C₂³	1	2	yes	complemented
386	#13133198	C₂³	1	2	yes	complemented
387	#13133198	C₂³	1	2	yes	complemented
388	#13133198	C₂³	1	2	yes	complemented
389	#13133197	C₂³	1	4	yes	complemented
390	#13133196	C₂³	1	4	yes	complemented
391	#13133196	C₂³	1	4	yes	complemented
392	#13133196	C₂³	1	4	yes	complemented
393	#13133196	C₂³	1	4	yes	complemented
394	#13133196	C₂³	1	4	yes	complemented
395	#13133196	C₂³	1	4	yes	complemented
396	#13133195	C₂³	1	4	yes	complemented
397	#13133195	C₂³	1	4	yes	complemented
398	#13133195	C₂³	1	4	yes	complemented
399	#13133195	C₂³	1	4	yes	complemented
400	#13133194	C₂³	1	4	yes	complemented
401	#13133194	C₂³	1	4	yes	complemented
402	#13133194	C₂³	1	4	yes	complemented
403	#13133194	C₂³	1	4	yes	complemented
404	#13133194	C₂³	1	4	yes	complemented
405	#13133194	C₂³	1	4	yes	complemented
406	#13133194	C₂³	1	4	yes	complemented
407	#13133194	C₂³	1	4	yes	complemented
408	#13133194	C₂³	1	4	yes	complemented
409	#13133194	C₂³	1	4	yes	complemented
410	#13133193	C₂³	1	4	yes	complemented
411	#13133193	C₂³	1	4	yes	complemented
412	#13133192	C₂³	1	4	yes	complemented
413	#13133191	C₂³	1	4	yes	complemented
414	#13133191	C₂³	1	4	yes	complemented
415	#13133191	C₂³	1	4	yes	complemented
416	#13133191	C₂³	1	4	yes	complemented
417	#13133190	C₂³	1	4	yes	—
418	#13133190	C₂³	1	4	yes	—
419	#13133190	C₂³	1	4	yes	—
420	#13133190	C₂³	1	4	yes	complemented
421	#13133190	C₂³	1	4	yes	complemented
422	#13133190	C₂³	1	4	yes	complemented
423	#13133190	C₂³	1	4	yes	complemented
424	#13133190	C₂³	1	4	yes	complemented
425	#13133190	C₂³	1	4	yes	complemented
426	#13133190	C₂³	1	4	yes	complemented
427	#13133190	C₂³	1	4	yes	complemented
428	#13133190	C₂³	1	4	yes	complemented
429	#13133190	C₂³	1	4	yes	complemented
430	#13133190	C₂³	1	4	yes	complemented
431	#13133189	C₂³	1	4	yes	—
432	#13133189	C₂³	1	4	yes	—
433	#13133189	C₂³	1	4	yes	—
434	#13133189	C₂³	1	4	yes	—
435	#13133189	C₂³	1	4	yes	—
436	#13133189	C₂³	1	4	yes	—
437	#13133189	C₂³	1	4	yes	—
438	#13133189	C₂³	1	4	yes	—
439	#13133189	C₂³	1	4	yes	—
440	#13133189	C₂³	1	4	yes	complemented
441	#13133189	C₂³	1	4	yes	complemented
442	#13133189	C₂³	1	4	yes	complemented
443	#13133189	C₂³	1	4	yes	complemented
444	#13133189	C₂³	1	4	yes	complemented
445	#13133189	C₂³	1	4	yes	complemented
446	#13133189	C₂³	1	4	yes	complemented
447	#13133189	C₂³	1	4	yes	complemented
448	#13133189	C₂³	1	4	yes	complemented
449	#13133189	C₂³	1	4	yes	complemented
450	#13133189	C₂³	1	4	yes	complemented
451	#13133189	C₂³	1	4	yes	complemented
452	#13133189	C₂³	1	4	yes	complemented
453	#13133189	C₂³	1	4	yes	complemented
454	#13133189	C₂³	1	4	yes	complemented
455	#13133189	C₂³	1	4	yes	complemented
456	#13133189	C₂³	1	4	yes	complemented
457	#13133189	C₂³	1	4	yes	complemented
458	#13133189	C₂³	1	4	yes	complemented
459	#13133189	C₂³	1	4	yes	complemented
460	#13133189	C₂³	1	4	yes	complemented
461	#13133188	C₂³	1	4	yes	—
462	#13133188	C₂³	1	4	yes	—
463	#13133188	C₂³	1	4	yes	complemented
464	#13133188	C₂³	1	4	yes	complemented
465	#13133188	C₂³	1	4	yes	complemented
466	#13133188	C₂³	1	4	yes	complemented
467	#13133188	C₂³	1	4	yes	complemented
468	#13133188	C₂³	1	4	yes	complemented
469	#13133188	C₂³	1	4	yes	complemented
470	#13133188	C₂³	1	4	yes	complemented
471	#13133188	C₂³	1	4	yes	complemented
472	#13133188	C₂³	1	4	yes	complemented
473	#13133187	C₂³	1	4	yes	—
474	#13133187	C₂³	1	4	yes	complemented
475	#13133187	C₂³	1	4	yes	complemented
476	#13133187	C₂³	1	2	yes	complemented
477	#13133187	C₂³	1	2	yes	complemented
478	#13133186	C₂³	1	4	yes	—
479	#13133186	C₂³	1	4	yes	—
480	#13133186	C₂³	1	2	yes	—
481	#13133186	C₂³	1	4	yes	—
482	#13133186	C₂³	1	2	yes	—
483	#13133186	C₂³	1	2	yes	—
484	#13133186	C₂³	1	4	yes	—
485	#13133186	C₂³	1	2	yes	complemented
486	#13133186	C₂³	1	4	yes	complemented
487	#13133186	C₂³	1	2	yes	complemented
488	#13133186	C₂³	1	2	yes	complemented
489	#13133186	C₂³	1	4	yes	complemented
490	#13133186	C₂³	1	4	yes	complemented
491	#13133186	C₂³	1	4	yes	complemented
492	#13133186	C₂³	1	4	yes	complemented
493	#13133186	C₂³	1	2	yes	complemented
494	#13133186	C₂³	1	2	yes	complemented
495	#13133186	C₂³	1	4	yes	complemented
496	#13133185	C₂³	1	4	yes	—
497	#13133185	C₂³	1	4	yes	—
498	#13133185	C₂³	1	4	yes	—
499	#13133185	C₂³	1	2	yes	—
500	#13133185	C₂³	1	4	yes	—
501	#13133185	C₂³	1	2	yes	—
502	#13133185	C₂³	1	2	yes	—
503	#13133185	C₂³	1	2	yes	—
504	#13133185	C₂³	1	2	yes	—
505	#13133185	C₂³	1	4	yes	—
506	#13133185	C₂³	1	2	yes	complemented
507	#13133185	C₂³	1	4	yes	complemented
508	#13133185	C₂³	1	4	yes	complemented
509	#13133185	C₂³	1	4	yes	complemented
510	#13133185	C₂³	1	4	yes	complemented
511	#13133185	C₂³	1	4	yes	complemented
512	#13133185	C₂³	1	4	yes	complemented
513	#13133185	C₂³	1	2	yes	complemented
514	#13133185	C₂³	1	2	yes	complemented
515	#13133185	C₂³	1	2	yes	complemented
516	#13133185	C₂³	1	4	yes	complemented
517	#13133185	C₂³	1	2	yes	complemented
518	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
519	#13133182	C₂³	1	4	yes	complemented
520	C₄×D₂₁₂	C₂³	1	4	yes	complemented
521	D₄×Dic₅₃	C₂³	1	4	yes	—
522	D₄×Dic₅₃	C₂³	1	4	yes	—
523	D₄×Dic₅₃	C₂³	1	4	yes	complemented
524	D₄×Dic₅₃	C₂³	1	4	yes	complemented
525	D₄×Dic₅₃	C₂³	1	4	yes	complemented
526	D₄×Dic₅₃	C₂³	1	4	yes	complemented
527	D₄×Dic₅₃	C₂³	1	4	yes	complemented
528	D₄×Dic₅₃	C₂³	1	4	yes	complemented
529	D₄×Dic₅₃	C₂³	1	4	yes	complemented
530	D₄×Dic₅₃	C₂³	1	4	yes	complemented
531	#13133179	C₂³	1	4	yes	complemented
532	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
533	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
534	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
535	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
536	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
537	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
538	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
539	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
540	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
541	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
542	#13133177	C₂³	1	4	yes	—
543	#13133177	C₂³	1	4	yes	complemented
544	#13133177	C₂³	1	4	yes	complemented
545	#13133177	C₂³	1	4	yes	complemented
546	#13133177	C₂³	1	4	yes	complemented
547	#13133177	C₂³	1	4	yes	complemented
548	#13133177	C₂³	1	4	yes	complemented
549	#13133177	C₂³	1	4	yes	complemented
550	#13133176	C₂³	1	2	yes	complemented
551	#13133176	C₂³	1	2	yes	complemented
552	#13133176	C₂³	1	2	yes	complemented
553	#13133176	C₂³	1	4	yes	complemented
554	#13133175	C₂³	1	4	yes	complemented
555	#13133174	C₂³	1	4	yes	complemented
556	#13133174	C₂³	1	4	yes	complemented
557	#13133173	C₂³	1	4	yes	complemented
558	#13133173	C₂³	1	4	yes	complemented
559	#13133173	C₂³	1	4	yes	complemented
560	#13133173	C₂³	1	4	yes	complemented
561	#13133173	C₂³	1	2	yes	complemented
562	#13133173	C₂³	1	4	yes	complemented
563	#13133173	C₂³	1	4	yes	complemented
564	#13133173	C₂³	1	2	yes	complemented
565	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
566	C₂×#11719919	C₂³	1	2	yes	complemented
567	C₂×#11719919	C₂³	1	2	yes	complemented
568	C₂×#11719919	C₂³	1	2	yes	complemented
569	C₂×#11719919	C₂³	1	4	yes	complemented
570	C₂×#11719919	C₂³	1	2	yes	complemented
571	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
572	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
573	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
574	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
575	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
576	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
577	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
578	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
579	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
580	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
581	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
582	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
583	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
584	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
585	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
586	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
587	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
588	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
589	C₂×#11719921	C₂³	1	2	yes	—
590	C₂×#11719921	C₂³	1	2	yes	—
591	C₂×#11719921	C₂³	1	2	yes	complemented
592	C₂×#11719921	C₂³	1	2	yes	complemented
593	C₂×#11719921	C₂³	1	2	yes	complemented
594	C₂×#11719921	C₂³	1	4	yes	complemented
595	C₂×#11719921	C₂³	1	2	yes	complemented
596	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
597	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
598	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
599	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
600	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
601	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
602	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
603	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
604	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic, complemented
605	H(5,𝔽₂)×C₅₃	—	4	4	no	—
606	C₂×#41×C₅₃	C₂³	1	2	yes	—
607	C₂×#41×C₅₃	C₂³	1	2	yes	—
608	C₂×#41×C₅₃	C₂³	1	2	yes	—
609	C₂²×D₄×C₅₃	—	4	4	no	—
610	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
611	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
612	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
613	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
614	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
615	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
616	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
617	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
618	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
619	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
620	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
621	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
622	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
623	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
624	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
625	#127×C₅₃	C₂³	1	4	yes	complemented
626	#124×C₅₃	C₂³	1	4	yes	complemented
627	#123×C₅₃	C₂³	1	2	yes	—
628	#123×C₅₃	C₂³	1	2	yes	—
629	#123×C₅₃	C₂³	1	2	yes	complemented
630	#123×C₅₃	C₂³	1	2	yes	complemented
631	#123×C₅₃	C₂³	1	4	yes	complemented
632	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
633	#121×C₅₃	C₂³	1	4	yes	—
634	#121×C₅₃	C₂³	1	4	yes	—
635	#121×C₅₃	C₂³	1	4	yes	complemented
636	#121×C₅₃	C₂³	1	4	yes	complemented
637	#121×C₅₃	C₂³	1	4	yes	complemented
638	#121×C₅₃	C₂³	1	4	yes	complemented
639	#121×C₅₃	C₂³	1	4	yes	complemented
640	#120×C₅₃	C₂³	1	2	yes	—
641	#120×C₅₃	C₂³	1	2	yes	—
642	#120×C₅₃	C₂³	1	4	yes	—
643	#120×C₅₃	C₂³	1	4	yes	—
644	#120×C₅₃	C₂³	1	2	yes	—
645	#120×C₅₃	C₂³	1	2	yes	—
646	#120×C₅₃	C₂³	1	2	yes	complemented
647	#120×C₅₃	C₂³	1	2	yes	complemented
648	#120×C₅₃	C₂³	1	2	yes	complemented
649	#120×C₅₃	C₂³	1	4	yes	complemented
650	#120×C₅₃	C₂³	1	4	yes	complemented
651	#120×C₅₃	C₂³	1	4	yes	complemented
652	#120×C₅₃	C₂³	1	2	yes	complemented
653	C₄×D₄×C₅₃	C₂³	1	4	yes	—
654	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
655	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
656	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
657	#117×C₅₃	C₂³	1	2	yes	complemented
658	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
659	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
660	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
661	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
662	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
663	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
664	C₂⁴×C₅₃	—	2	4	no	—
665	C₂⁴×C₅₃	—	4	2	no	—
666	C₂⁴×C₅₃	—	8	2	no	—
667	C₂⁴×C₅₃	—	8	2	no	—
668	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
669	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
670	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
671	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
672	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
673	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
674	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
675	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
676	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
677	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
678	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
679	C₂³×D₅₃	—	2	4	no	—
680	C₂³×D₅₃	—	4	2	no	—
681	C₂³×D₅₃	—	8	2	no	—
682	C₂³×D₅₃	—	8	2	no	—
683	C₂³×D₅₃	C₂⁴	1	2	yes	—
684	C₂³×D₅₃	C₂⁴	1	2	yes	—
685	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
686	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
687	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
688	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
689	C₂³×D₅₃	C₂⁴	1	2	yes	—
690	C₂³×D₅₃	C₂⁴	1	4	yes	—
691	#41×C₅₃	—	4	4	no	—
692	#41×C₅₃	—	4	4	no	—
693	#41×C₅₃	—	4	4	no	—
694	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
695	C₂×D₄×C₅₃	—	2	4	no	—
696	C₂×D₄×C₅₃	—	2	4	no	—
697	C₂×D₄×C₅₃	—	2	4	no	—
698	C₂×D₄×C₅₃	—	2	4	no	—
699	C₂×D₄×C₅₃	—	4	2	no	—
700	C₂×D₄×C₅₃	—	4	2	no	—
701	C₂×D₄×C₅₃	—	4	8	no	—
702	C₂×D₄×C₅₃	—	4	8	no	—
703	C₂×D₄×C₅₃	—	4	4	no	—
704	C₂×D₄×C₅₃	—	4	4	no	—
705	C₂×D₄×C₅₃	—	4	4	no	—
706	C₂×D₄×C₅₃	—	8	2	no	—
707	C₂×D₄×C₅₃	—	8	2	no	—
708	C₂×D₄×C₅₃	—	8	4	no	—
709	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
710	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
711	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
712	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
713	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
714	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
715	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
716	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
717	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
718	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
719	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
720	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
721	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
722	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
723	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
724	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
725	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
726	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
727	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
728	C₂²×C₄×C₅₃	—	4	2	no	—
729	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
730	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
731	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
732	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
733	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
734	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
735	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
736	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
737	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
738	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
739	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
740	C₂×C₂²⋊D₅₃	—	2	4	no	—
741	C₂×C₂²⋊D₅₃	—	2	4	no	—
742	C₂×C₂²⋊D₅₃	—	4	2	no	—
743	C₂×C₂²⋊D₅₃	—	4	4	no	—
744	C₂×C₂²⋊D₅₃	—	4	4	no	—
745	C₂×C₂²⋊D₅₃	—	4	4	no	—
746	C₂×C₂²⋊D₅₃	—	4	4	no	—
747	C₂×C₂²⋊D₅₃	—	4	4	no	—
748	C₂×C₂²⋊D₅₃	—	4	4	no	—
749	C₂×C₂²⋊D₅₃	—	4	2	no	—
750	C₂×C₂²⋊D₅₃	—	4	4	no	—
751	C₂×C₂²⋊D₅₃	—	8	2	no	—
752	C₂×C₂²⋊D₅₃	—	8	2	no	—
753	C₂×C₂²⋊D₅₃	—	8	2	no	—
754	C₂×C₂²⋊D₅₃	—	8	4	no	—
755	C₂×C₂²⋊D₅₃	—	8	4	no	—
756	C₂×C₂²⋊D₅₃	—	8	2	no	—
757	C₂×C₂²⋊D₅₃	—	8	2	no	—
758	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
759	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
760	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
761	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
762	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
763	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
764	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
765	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
766	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
767	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
768	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
769	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
770	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
771	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
772	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
773	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
774	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
775	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
776	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
777	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
778	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
779	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
780	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
781	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
782	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
783	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
784	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
785	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
786	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
787	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
788	C₂²×Dic₅₃	—	2	4	no	—
789	C₂²×Dic₅₃	—	4	2	no	—
790	C₂²×Dic₅₃	—	8	2	no	—
791	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
792	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
793	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
794	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
795	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
796	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
797	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
798	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
799	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
800	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
801	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
802	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
803	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
804	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
805	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
806	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
807	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
808	#11719947	—	4	8	no	—
809	#11719947	—	4	8	no	—
810	#11719947	—	4	4	no	—
811	#11719947	—	4	4	no	—
812	#11719947	—	8	4	no	—
813	#11719947	—	8	4	no	—
814	#11719947	—	8	4	no	—
815	D₄×D₅₃	—	4	8	no	—
816	D₄×D₅₃	—	4	8	no	—
817	D₄×D₅₃	—	4	4	no	—
818	D₄×D₅₃	—	4	4	no	—
819	D₄×D₅₃	—	8	4	no	—
820	#11719945	—	4	4	no	—
821	#11719945	—	8	4	no	—
822	C₂×D₂₁₂	—	4	2	no	—
823	C₂×D₂₁₂	—	8	2	no	—
824	C₂×D₂₁₂	C₂⁴	1	4	yes	—
825	C₂×D₂₁₂	C₂⁴	1	4	yes	—
826	C₂×D₂₁₂	C₂⁴	1	2	yes	—
827	C₂×D₂₁₂	C₂⁴	1	4	yes	—
828	C₂×C₄×D₅₃	—	4	2	no	—
829	C₂×C₄×D₅₃	—	4	2	no	—
830	C₂×C₄×D₅₃	—	8	2	no	—
831	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
832	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
833	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
834	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
835	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
836	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
837	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
838	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
839	C₂×Dic₁₀₆	—	4	2	no	—
840	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
841	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
842	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
843	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
844	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
845	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
846	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
847	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
849	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
850	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
851	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
852	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
854	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
855	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
856	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
857	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
858	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
859	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
860	C₄²×C₅₃	C₂⁴	1	4	yes	—
861	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
862	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
863	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
864	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
865	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
866	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
867	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
868	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
869	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
870	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
871	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
872	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
873	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
874	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
875	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
876	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
877	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
878	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
879	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
880	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
881	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
882	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
883	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
884	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
885	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
886	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
887	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
888	#11719921	C₂⁴	1	4	yes	—
889	#11719921	C₂⁴	1	4	yes	—
890	#11719921	C₂⁴	1	4	yes	—
891	#11719921	C₂⁴	1	4	yes	—
892	#11719921	C₂⁴	1	4	yes	—
893	#11719921	C₂⁴	1	4	yes	—
894	#11719921	C₂⁴	1	4	yes	—
895	#11719921	C₂⁴	1	4	yes	—
896	#11719921	C₂⁴	1	4	yes	—
897	#11719921	C₂⁴	1	4	yes	—
898	#11719921	C₂⁴	1	4	yes	—
899	#11719921	C₂⁴	1	4	yes	—
900	#11719921	C₂⁴	1	4	yes	—
901	#11719921	C₂⁴	1	4	yes	—
902	#11719921	C₂⁴	1	4	yes	—
903	#11719921	C₂⁴	1	4	yes	—
904	#11719921	C₂⁴	1	4	yes	—
905	#11719921	C₂⁴	1	4	yes	—
906	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
907	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
908	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
909	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
910	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
911	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
912	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
913	#11719919	C₂⁴	1	4	yes	—
914	#11719919	C₂⁴	1	4	yes	—
915	#11719919	C₂⁴	1	4	yes	—
916	#11719919	C₂⁴	1	4	yes	—
917	#11719919	C₂⁴	1	4	yes	—
918	#11719919	C₂⁴	1	4	yes	—
919	#11719919	C₂⁴	1	4	yes	—
920	#11719919	C₂⁴	1	4	yes	—
921	#11719919	C₂⁴	1	4	yes	—
922	#11719919	C₂⁴	1	4	yes	—
923	#11719919	C₂⁴	1	4	yes	—
924	#11719919	C₂⁴	1	4	yes	—
925	#11719919	C₂⁴	1	4	yes	—
926	#11719919	C₂⁴	1	4	yes	—
927	#11719919	C₂⁴	1	4	yes	—
928	#11719919	C₂⁴	1	4	yes	—
929	#11719919	C₂⁴	1	4	yes	—
930	#11719919	C₂⁴	1	4	yes	—
931	C₄×Dic₅₃	C₂⁴	1	4	yes	—
932	C₄×Dic₅₃	C₂⁴	1	4	yes	—
933	C₄×Dic₅₃	C₂⁴	1	4	yes	—
934	C₄×Dic₅₃	C₂⁴	1	4	yes	—
935	C₄×Dic₅₃	C₂⁴	1	4	yes	—
936	C₄×Dic₅₃	C₂⁴	1	4	yes	—
937	C₄×Dic₅₃	C₂⁴	1	4	yes	—
938	C₂³×C₅₃	—	2	2	no	—
939	C₂³×C₅₃	—	2	2	no	—
940	C₂³×C₅₃	—	2	2	no	—
941	C₂³×C₅₃	—	2	2	no	—
942	C₂³×C₅₃	—	2	4	no	—
943	C₂³×C₅₃	—	2	4	no	—
944	C₂³×C₅₃	—	2	2	no	—
945	C₂³×C₅₃	—	2	2	no	—
946	C₂³×C₅₃	—	4	2	no	—
947	C₂³×C₅₃	—	4	2	no	—
948	C₂³×C₅₃	—	4	2	no	—
949	C₂³×C₅₃	—	4	2	no	—
950	C₂³×C₅₃	—	4	2	no	—
951	C₂³×C₅₃	—	4	2	no	—
952	C₂³×C₅₃	—	4	2	no	—
953	C₂³×C₅₃	—	4	2	no	—
954	C₂³×C₅₃	—	4	4	no	—
955	C₂³×C₅₃	—	4	4	no	—
956	C₂³×C₅₃	—	4	2	no	—
957	C₂³×C₅₃	—	4	2	no	—
958	C₂³×C₅₃	—	4	2	no	—
959	C₂³×C₅₃	—	4	4	no	—
960	C₂³×C₅₃	—	4	4	no	—
961	C₂³×C₅₃	—	4	2	no	—
962	C₂³×C₅₃	—	8	8	no	—
963	C₂³×C₅₃	—	8	8	no	—
964	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
965	C₂³×C₅₃	C₂⁵	1	2	yes	—
966	C₂³×C₅₃	C₂⁵	1	2	yes	—
967	C₂³×C₅₃	C₂⁵	1	2	yes	—
968	C₂³×C₅₃	C₂⁵	1	2	yes	—
969	C₂³×C₅₃	C₂⁵	1	2	yes	—
970	C₂³×C₅₃	C₂⁵	1	2	yes	—
971	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
972	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
973	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
974	C₂²×D₅₃	—	2	2	no	—
975	C₂²×D₅₃	—	2	2	no	—
976	C₂²×D₅₃	—	2	2	no	—
977	C₂²×D₅₃	—	2	2	no	—
978	C₂²×D₅₃	—	2	4	no	—
979	C₂²×D₅₃	—	2	4	no	—
980	C₂²×D₅₃	—	4	2	no	—
981	C₂²×D₅₃	—	4	2	no	—
982	C₂²×D₅₃	—	4	2	no	—
983	C₂²×D₅₃	—	4	2	no	—
984	C₂²×D₅₃	—	4	4	no	—
985	C₂²×D₅₃	—	4	4	no	—
986	C₂²×D₅₃	—	4	2	no	—
987	C₂²×D₅₃	—	4	2	no	—
988	C₂²×D₅₃	—	4	2	no	—
989	C₂²×D₅₃	—	4	2	no	—
990	C₂²×D₅₃	—	4	4	no	—
991	C₂²×D₅₃	—	4	2	no	—
992	C₂²×D₅₃	—	4	4	no	—
993	C₂²×D₅₃	—	8	8	no	—
994	C₂²×D₅₃	—	8	8	no	—
995	C₂²×D₅₃	C₂⁵	1	2	yes	—
996	C₂²×D₅₃	C₂⁵	1	2	yes	—
997	C₂²×D₅₃	C₂⁵	1	2	yes	—
998	C₂²×D₅₃	C₂⁵	1	2	yes	—
999	Q₈×C₅₃	—	4	2	no	—
1000	D₄×C₅₃	—	2	4	no	—
1001	D₄×C₅₃	—	2	4	no	—
1002	D₄×C₅₃	—	2	4	no	—
1003	D₄×C₅₃	—	2	4	no	—
1004	D₄×C₅₃	—	2	4	no	—
1005	D₄×C₅₃	—	2	4	no	—
1006	D₄×C₅₃	—	2	4	no	—
1007	D₄×C₅₃	—	2	4	no	—
1008	D₄×C₅₃	—	4	4	no	—
1009	D₄×C₅₃	—	4	4	no	—
1010	D₄×C₅₃	—	4	4	no	—
1011	D₄×C₅₃	—	4	4	no	—
1012	D₄×C₅₃	—	4	4	no	—
1013	D₄×C₅₃	—	4	4	no	—
1014	D₄×C₅₃	—	4	2	no	—
1015	D₄×C₅₃	—	4	2	no	—
1016	D₄×C₅₃	—	4	2	no	—
1017	D₄×C₅₃	—	4	4	no	—
1018	D₄×C₅₃	—	4	4	no	—
1019	C₂×C₄×C₅₃	—	2	2	no	—
1020	C₂×C₄×C₅₃	—	2	2	no	—
1021	C₂×C₄×C₅₃	—	2	2	no	—
1022	C₂×C₄×C₅₃	—	2	2	no	—
1023	C₂×C₄×C₅₃	—	4	2	no	—
1024	C₂×C₄×C₅₃	—	4	2	no	—
1025	C₂×C₄×C₅₃	—	4	4	no	—
1026	C₂×C₄×C₅₃	—	4	4	no	—
1027	C₂×C₄×C₅₃	—	4	2	no	—
1028	C₂×C₄×C₅₃	—	4	2	no	—
1029	C₂×C₄×C₅₃	—	4	2	no	—
1030	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1031	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1032	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1033	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1034	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1035	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1036	C₂²⋊D₅₃	—	2	4	no	—
1037	C₂²⋊D₅₃	—	2	4	no	—
1038	C₂²⋊D₅₃	—	2	4	no	—
1039	C₂²⋊D₅₃	—	2	4	no	—
1040	C₂²⋊D₅₃	—	4	4	no	—
1041	C₂²⋊D₅₃	—	4	4	no	—
1042	C₂²⋊D₅₃	—	4	4	no	—
1043	C₂²⋊D₅₃	—	4	2	no	—
1044	C₂²⋊D₅₃	—	4	2	no	—
1045	C₂²⋊D₅₃	—	4	4	no	—
1046	C₂²⋊D₅₃	—	4	4	no	—
1047	C₂²⋊D₅₃	—	4	4	no	—
1048	C₂²⋊D₅₃	—	4	4	no	—
1049	C₂²⋊D₅₃	—	4	4	no	—
1050	C₂²⋊D₅₃	—	4	4	no	—
1051	C₂²⋊D₅₃	—	4	4	no	—
1052	C₂²⋊D₅₃	—	4	4	no	—
1053	C₂²⋊D₅₃	—	4	2	no	—
1054	C₂²⋊D₅₃	—	4	2	no	—
1055	C₂²⋊D₅₃	—	4	2	no	—
1056	C₂²⋊D₅₃	—	4	2	no	—
1057	C₂²⋊D₅₃	—	4	2	no	—
1058	C₂²⋊D₅₃	—	4	2	no	—
1059	C₂²⋊D₅₃	—	4	2	no	—
1060	C₂²⋊D₅₃	—	4	2	no	—
1061	C₂²⋊D₅₃	—	4	4	no	—
1062	C₂²⋊D₅₃	—	4	4	no	—
1063	C₂²⋊D₅₃	—	4	4	no	—
1064	C₂²⋊D₅₃	—	4	4	no	—
1065	C₂²⋊D₅₃	—	4	4	no	—
1066	C₂×Dic₅₃	—	2	2	no	—
1067	C₂×Dic₅₃	—	2	2	no	—
1068	C₂×Dic₅₃	—	2	2	no	—
1069	C₂×Dic₅₃	—	2	2	no	—
1070	C₂×Dic₅₃	—	2	4	no	—
1071	C₂×Dic₅₃	—	2	4	no	—
1072	C₂×Dic₅₃	—	4	2	no	—
1073	C₂×Dic₅₃	—	4	4	no	—
1074	C₂×Dic₅₃	—	4	2	no	—
1075	C₂×Dic₅₃	—	4	4	no	—
1076	C₂×Dic₅₃	—	4	4	no	—
1077	C₂×Dic₅₃	—	4	4	no	—
1078	C₂×Dic₅₃	—	4	4	no	—
1079	C₂×Dic₅₃	—	4	4	no	—
1080	C₂×Dic₅₃	—	4	2	no	—
1081	C₂×Dic₅₃	—	4	2	no	—
1082	C₂×Dic₅₃	—	4	2	no	—
1083	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1084	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1085	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1086	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1087	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1088	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1089	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1090	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1091	D₂₁₂	—	4	4	no	—
1092	D₂₁₂	—	4	4	no	—
1093	D₂₁₂	—	4	4	no	—
1094	D₂₁₂	—	4	2	no	—
1095	C₄×D₅₃	—	4	4	no	—
1096	C₄×D₅₃	—	4	4	no	—
1097	C₄×D₅₃	—	4	4	no	—
1098	C₄×D₅₃	—	4	4	no	—
1099	C₄×D₅₃	—	4	2	no	—
1100	C₄×D₅₃	—	4	2	no	—
1101	C₄×D₅₃	—	4	4	no	—
1102	C₄×D₅₃	—	4	4	no	—
1103	Dic₁₀₆	—	4	4	no	—
1104	Dic₁₀₆	—	4	2	no	—
1105	Dic₁₀₆	—	4	4	no	—
1106	Dic₁₀₆	—	4	4	no	—
1107	#62862	—	53	1	no	maximal, Sylow
1108	C₂²×C₅₃	—	2	2	no	—
1109	C₂²×C₅₃	—	2	2	no	—
1110	C₂²×C₅₃	—	2	2	no	—
1111	C₂²×C₅₃	—	2	2	no	—
1112	C₂²×C₅₃	—	2	2	no	—
1113	C₂²×C₅₃	—	2	2	no	—
1114	C₂²×C₅₃	—	2	2	no	—
1115	C₂²×C₅₃	—	2	2	no	—
1116	C₂²×C₅₃	—	2	2	no	—
1117	C₂²×C₅₃	—	2	2	no	—
1118	C₂²×C₅₃	—	2	2	no	—
1119	C₂²×C₅₃	—	2	4	no	—
1120	C₂²×C₅₃	—	2	4	no	—
1121	C₂²×C₅₃	—	2	4	no	—
1122	C₂²×C₅₃	—	2	4	no	—
1123	C₂²×C₅₃	—	2	2	no	—
1124	C₂²×C₅₃	—	2	2	no	—
1125	C₂²×C₅₃	—	4	4	no	—
1126	C₂²×C₅₃	—	4	4	no	—
1127	C₂²×C₅₃	—	4	4	no	—
1128	C₂²×C₅₃	—	8	2	no	—
1129	C₂²×C₅₃	—	8	2	no	—
1130	C₂²×C₅₃	—	8	4	no	—
1131	C₂²×C₅₃	—	8	4	no	—
1132	C₂²×C₅₃	—	8	2	no	—
1133	C₂²×C₅₃	—	8	2	no	—
1134	C₂²×C₅₃	—	8	8	no	—
1135	C₂²×C₅₃	—	16	2	no	—
1136	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1137	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1138	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1139	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1140	C₂×D₅₃	—	2	2	no	—
1141	C₂×D₅₃	—	2	2	no	—
1142	C₂×D₅₃	—	2	2	no	—
1143	C₂×D₅₃	—	2	2	no	—
1144	C₂×D₅₃	—	2	2	no	—
1145	C₂×D₅₃	—	2	2	no	—
1146	C₂×D₅₃	—	2	4	no	—
1147	C₂×D₅₃	—	2	4	no	—
1148	C₂×D₅₃	—	2	2	no	—
1149	C₂×D₅₃	—	2	2	no	—
1150	C₂×D₅₃	—	4	4	no	—
1151	C₂×D₅₃	—	4	4	no	—
1152	C₂×D₅₃	—	8	2	no	—
1153	C₂×D₅₃	—	8	4	no	—
1154	C₂×D₅₃	—	8	4	no	—
1155	C₂×D₅₃	—	8	2	no	—
1156	C₂×D₅₃	—	8	8	no	—
1157	C₂×D₅₃	—	16	2	no	—
1158	C₄×C₅₃	—	2	2	no	—
1159	C₄×C₅₃	—	2	2	no	—
1160	C₄×C₅₃	—	2	2	no	—
1161	C₄×C₅₃	—	2	2	no	—
1162	C₄×C₅₃	—	2	4	no	—
1163	C₄×C₅₃	—	2	4	no	—
1164	Dic₅₃	—	2	2	no	—
1165	Dic₅₃	—	2	2	no	—
1166	Dic₅₃	—	2	2	no	—
1167	Dic₅₃	—	2	2	no	—
1168	Dic₅₃	—	2	4	no	—
1169	Dic₅₃	—	2	4	no	—
1170	Dic₅₃	—	2	4	no	—
1171	Dic₅₃	—	2	4	no	—
1172	#3545	—	53	4	no	—
1173	#3543	—	53	4	no	—
1174	#3542	—	53	4	no	—
1175	#3542	—	53	4	no	—
1176	#3542	—	53	4	no	—
1177	#3542	—	53	4	no	—
1178	#3534	—	53	4	no	—
1179	#3534	—	53	4	no	—
1180	#3533	—	53	4	no	—
1181	#3533	—	53	4	no	—
1182	#3532	—	53	4	no	—
1183	#3532	—	53	4	no	—
1184	#3491	—	53	1	no	—
1185	#3491	—	53	1	no	—
1186	#3490	—	53	1	no	—
1187	#3490	—	53	1	no	—
1188	#3490	—	53	1	no	—
1189	#3490	—	53	1	no	—
1190	#3485	—	53	1	no	—
1191	#3485	—	53	1	no	—
1192	#3484	—	53	1	no	—
1193	#3484	—	53	1	no	—
1194	#3484	—	53	1	no	—
1195	#3484	D₅₃	1	1	yes	characteristic, complemented
1196	C₂×#535	—	53	1	no	—
1197	C₂×#534	—	53	1	no	—
1198	C₂×#534	—	53	1	no	—
1199	C₂×C₅₃	—	2	2	no	—
1200	C₂×C₅₃	—	2	2	no	—
1201	C₂×C₅₃	—	2	2	no	—
1202	C₂×C₅₃	—	4	2	no	—
1203	C₂×C₅₃	—	4	2	no	—
1204	C₂×C₅₃	—	4	2	no	—
1205	C₂×C₅₃	—	4	2	no	—
1206	C₂×C₅₃	—	4	2	no	—
1207	C₂×C₅₃	—	4	2	no	—
1208	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1209	C₂×C₅₃	H(7,𝔽₂)	1	2	yes	—
1210	D₅₃	—	4	2	no	—
1211	D₅₃	—	4	2	no	—
1212	D₅₃	—	4	2	no	—
1213	D₅₃	—	4	2	no	—
1214	C₂×H(5,𝔽₂)	—	53	1	no	—
1215	C₂×H(5,𝔽₂)	C₂×D₅₃	1	1	yes	characteristic, complemented
1216	C₂²×#41	—	53	1	no	—
1217	C₂³×D₄	—	53	1	no	—
1218	C₂³×D₄	—	53	1	no	—
1219	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1220	#563	—	53	4	no	—
1221	#562	—	53	4	no	—
1222	#562	—	53	4	no	—
1223	#562	—	53	4	no	—
1224	#562	—	53	4	no	—
1225	#562	—	53	4	no	—
1226	#562	—	53	4	no	—
1227	H(3,𝔽₄)	—	53	4	no	—
1228	#560	—	53	4	no	—
1229	#560	—	53	4	no	—
1230	#560	—	53	4	no	—
1231	#560	—	53	4	no	—
1232	#560	—	53	4	no	—
1233	#560	—	53	4	no	—
1234	#560	—	53	4	no	—
1235	#560	—	53	4	no	—
1236	#559	—	53	4	no	—
1237	#555	—	53	4	no	—
1238	#555	—	53	4	no	—
1239	#553	—	53	4	no	—
1240	#553	—	53	4	no	—
1241	#553	—	53	4	no	—
1242	#553	—	53	4	no	—
1243	#552	—	53	4	no	—
1244	#552	—	53	4	no	—
1245	#552	—	53	4	no	—
1246	#552	—	53	4	no	—
1247	#551	—	53	4	no	—
1248	#551	—	53	4	no	—
1249	#551	—	53	4	no	—
1250	#551	—	53	4	no	—
1251	#551	—	53	4	no	—
1252	#551	—	53	4	no	—
1253	#551	—	53	4	no	—
1254	#551	—	53	4	no	—
1255	#551	—	53	4	no	—
1256	#551	—	53	4	no	—
1257	#551	—	53	4	no	—
1258	#551	—	53	4	no	—
1259	#551	—	53	4	no	—
1260	#551	—	53	4	no	—
1261	#550	—	53	4	no	—
1262	#550	—	53	4	no	—
1263	#547	—	53	4	no	—
1264	#547	—	53	4	no	—
1265	#547	—	53	4	no	—
1266	#547	—	53	4	no	—
1267	#546	—	53	4	no	—
1268	#546	—	53	4	no	—
1269	#546	—	53	4	no	—
1270	#546	—	53	4	no	—
1271	#546	—	53	4	no	—
1272	#546	—	53	4	no	—
1273	#546	—	53	4	no	—
1274	#546	—	53	4	no	—
1275	#546	—	53	4	no	—
1276	#546	—	53	4	no	—
1277	#546	—	53	4	no	—
1278	#546	—	53	4	no	—
1279	#546	—	53	4	no	—
1280	#546	—	53	4	no	—
1281	#546	—	53	4	no	—
1282	#546	—	53	4	no	—
1283	#546	—	53	4	no	—
1284	#546	—	53	4	no	—
1285	#546	—	53	4	no	—
1286	#546	—	53	4	no	—
1287	#546	—	53	4	no	—
1288	#546	—	53	4	no	—
1289	#546	C₂×D₅₃	1	4	yes	complemented
1290	#546	C₂×D₅₃	1	4	yes	complemented
1291	D₄²	—	53	4	no	—
1292	D₄²	—	53	4	no	—
1293	D₄²	—	53	4	no	—
1294	D₄²	—	53	4	no	—
1295	D₄²	—	53	4	no	—
1296	D₄²	—	53	4	no	—
1297	D₄²	—	53	4	no	—
1298	D₄²	C₂×D₅₃	1	4	yes	complemented
1299	D₄²	C₂×D₅₃	1	4	yes	complemented
1300	#543	—	53	1	no	—
1301	#543	—	53	1	no	—
1302	#542	—	53	4	no	—
1303	#542	—	53	4	no	—
1304	#542	—	53	4	no	—
1305	#542	—	53	4	no	—
1306	#540	—	53	4	no	—
1307	#540	—	53	4	no	—
1308	#540	—	53	4	no	—
1309	#540	—	53	4	no	—
1310	#540	—	53	4	no	—
1311	#540	—	53	4	no	—
1312	#540	—	53	4	no	—
1313	#540	—	53	4	no	—
1314	#539	—	53	4	no	—
1315	#539	—	53	4	no	—
1316	#539	—	53	4	no	—
1317	#539	—	53	4	no	—
1318	#538	—	53	4	no	—
1319	#538	—	53	4	no	—
1320	#538	—	53	4	no	—
1321	#538	—	53	4	no	—
1322	#538	—	53	4	no	—
1323	#538	—	53	4	no	—
1324	#538	—	53	4	no	—
1325	#538	—	53	4	no	—
1326	#538	—	53	4	no	—
1327	#538	—	53	4	no	—
1328	#538	—	53	4	no	—
1329	#538	—	53	4	no	—
1330	#538	—	53	4	no	—
1331	#538	—	53	4	no	—
1332	#537	—	53	4	no	—
1333	#537	—	53	4	no	—
1334	#536	—	53	2	no	—
1335	#536	—	53	2	no	—
1336	#535	—	53	2	no	—
1337	#535	—	53	2	no	—
1338	#535	—	53	4	no	—
1339	#535	—	53	4	no	—
1340	#535	—	53	4	no	—
1341	#535	—	53	4	no	—
1342	#535	—	53	2	no	—
1343	#535	—	53	4	no	—
1344	#535	—	53	4	no	—
1345	#535	—	53	4	no	—
1346	#535	—	53	4	no	—
1347	#535	C₂×D₅₃	1	2	yes	complemented
1348	#534	—	53	4	no	—
1349	#534	—	53	4	no	—
1350	#534	—	53	1	no	—
1351	#534	—	53	1	no	—
1352	#534	—	53	1	no	—
1353	#534	—	53	1	no	—
1354	#534	—	53	2	no	—
1355	#534	—	53	2	no	—
1356	#534	—	53	4	no	—
1357	#534	—	53	4	no	—
1358	#534	—	53	2	no	—
1359	#534	—	53	4	no	—
1360	#534	—	53	2	no	—
1361	#534	—	53	4	no	—
1362	#534	—	53	4	no	—
1363	#534	—	53	4	no	—
1364	#534	—	53	4	no	—
1365	#534	—	53	2	no	—
1366	#534	—	53	4	no	—
1367	#534	C₂×D₅₃	1	1	yes	characteristic
1368	#534	C₂×D₅₃	1	1	yes	characteristic, complemented
1369	#534	C₂×D₅₃	1	2	yes	complemented
1370	C₂×#127	—	53	2	no	—
1371	#529	—	53	4	no	—
1372	#529	—	53	4	no	—
1373	C₂×#124	—	53	2	no	—
1374	#525	—	53	2	no	—
1375	#525	—	53	2	no	—
1376	#525	—	53	2	no	—
1377	#525	—	53	2	no	—
1378	#525	—	53	4	no	—
1379	#525	—	53	4	no	—
1380	#525	—	53	2	no	—
1381	#525	—	53	4	no	—
1382	#525	—	53	4	no	—
1383	#525	C₂×D₅₃	1	2	yes	complemented
1384	C₂×#123	—	53	1	no	—
1385	C₂×#123	—	53	1	no	—
1386	C₂×#123	—	53	1	no	—
1387	C₂×#123	—	53	2	no	—
1388	C₂×#123	—	53	2	no	—
1389	C₂×#123	—	53	2	no	—
1390	C₂×#123	—	53	2	no	—
1391	C₂×#123	—	53	1	no	—
1392	C₂×#121	—	53	2	no	—
1393	C₂×#121	—	53	2	no	—
1394	C₂×#121	—	53	2	no	—
1395	C₂×#121	—	53	2	no	—
1396	C₂×#121	—	53	2	no	—
1397	C₂×#121	—	53	2	no	—
1398	C₂×#120	—	53	1	no	—
1399	C₂×#120	—	53	1	no	—
1400	C₂×#120	—	53	2	no	—
1401	C₂×#120	—	53	2	no	—
1402	C₂×#120	—	53	1	no	—
1403	C₂×#120	—	53	1	no	—
1404	C₂×#120	—	53	2	no	—
1405	C₂×#120	—	53	1	no	—
1406	C₂×#120	—	53	2	no	—
1407	C₂×#120	—	53	2	no	—
1408	C₂×#120	—	53	1	no	—
1409	C₂×#120	C₂×D₅₃	1	1	yes	characteristic, complemented
1410	C₂×#120	C₂×D₅₃	1	1	yes	characteristic, complemented
1411	C₂×#120	C₂×D₅₃	1	2	yes	complemented
1412	#518	—	53	1	no	—
1413	#518	—	53	1	no	—
1414	#518	—	53	1	no	—
1415	#518	—	53	1	no	—
1416	#518	—	53	1	no	—
1417	#518	C₂×D₅₃	1	1	yes	characteristic, complemented
1418	C₂×#117	—	53	1	no	—
1419	C₂²×C₂²⋊C₄	—	53	1	no	—
1420	C₂²×C₂²⋊C₄	—	53	1	no	—
1421	C₅₃	#62862	1	1	yes	characteristic, complemented, Sylow
1422	C₂⁵	—	53	1	no	—
1423	C₂⁵	—	53	1	no	—
1424	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1425	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic, complemented
1426	H(5,𝔽₂)	—	4	4	no	—
1427	H(5,𝔽₂)	—	212	4	no	—
1428	C₂×#41	—	53	4	no	—
1429	C₂×#41	—	53	4	no	—
1430	C₂×#41	—	53	4	no	—
1431	C₂×#41	—	53	2	no	—
1432	C₂×#41	—	53	2	no	—
1433	C₂×#41	—	53	4	no	—
1434	C₂×#41	—	53	4	no	—
1435	C₂×#41	—	53	4	no	—
1436	C₂×#41	—	53	2	no	—
1437	C₂×#41	—	212	4	no	—
1438	C₂×#41	C₂²×D₅₃	1	2	yes	—
1439	C₂×#41	C₂²×D₅₃	1	2	yes	—
1440	C₂×#41	C₂²×D₅₃	1	2	yes	—
1441	C₂²×Q₈	—	53	1	no	—
1442	C₂²×D₄	—	4	4	no	—
1443	C₂²×D₄	—	53	1	no	—
1444	C₂²×D₄	—	53	1	no	—
1445	C₂²×D₄	—	53	2	no	—
1446	C₂²×D₄	—	53	2	no	—
1447	C₂²×D₄	—	53	2	no	—
1448	C₂²×D₄	—	53	2	no	—
1449	C₂²×D₄	—	53	2	no	—
1450	C₂²×D₄	—	53	4	no	—
1451	C₂²×D₄	—	53	4	no	—
1452	C₂²×D₄	—	53	2	no	—
1453	C₂²×D₄	—	53	2	no	—
1454	C₂²×D₄	—	53	2	no	—
1455	C₂²×D₄	—	53	2	no	—
1456	C₂²×D₄	—	53	2	no	—
1457	C₂²×D₄	—	53	2	no	—
1458	C₂²×D₄	—	53	1	no	—
1459	C₂²×D₄	—	53	2	no	—
1460	C₂²×D₄	—	53	1	no	—
1461	C₂²×D₄	—	53	4	no	—
1462	C₂²×D₄	—	53	2	no	—
1463	C₂²×D₄	—	53	2	no	—
1464	C₂²×D₄	—	53	4	no	—
1465	C₂²×D₄	—	53	4	no	—
1466	C₂²×D₄	—	53	2	no	—
1467	C₂²×D₄	—	53	1	no	—
1468	C₂²×D₄	—	212	4	no	—
1469	C₂²×D₄	—	212	4	no	—
1470	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1471	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1472	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1473	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1474	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1475	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1476	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1477	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
1478	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1479	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1480	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1481	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1482	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1483	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1484	C₂³×C₄	—	53	1	no	—
1485	C₂³×C₄	—	53	2	no	—
1486	C₂³×C₄	—	53	1	no	—
1487	C₂³×C₄	—	53	2	no	—
1488	C₂³×C₄	—	53	1	no	—
1489	C₂³×C₄	—	53	1	no	—
1490	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1491	C₄⋊Q₈	—	53	4	no	—
1492	C₄⋊Q₈	—	53	4	no	—
1493	#127	—	53	4	no	—
1494	#127	—	53	4	no	—
1495	#127	—	53	4	no	—
1496	#127	—	53	4	no	—
1497	#127	—	53	4	no	—
1498	#127	—	53	4	no	—
1499	#127	—	53	4	no	—
1500	#127	C₂²×D₅₃	1	4	yes	complemented
1501	#126	—	53	4	no	—
1502	#126	—	53	4	no	—
1503	#126	—	53	4	no	—
1504	#126	—	53	4	no	—
1505	#126	—	53	4	no	—
1506	#126	—	53	4	no	—
1507	#126	—	53	4	no	—
1508	#126	—	53	4	no	—
1509	#126	—	53	4	no	—
1510	#126	—	53	4	no	—
1511	#126	—	53	4	no	—
1512	#126	—	53	4	no	—
1513	#126	—	53	4	no	—
1514	#126	—	53	4	no	—
1515	#126	—	53	4	no	—
1516	#126	—	53	4	no	—
1517	#125	—	53	4	no	—
1518	#125	—	53	4	no	—
1519	#125	—	53	4	no	—
1520	#125	—	53	4	no	—
1521	#125	—	53	4	no	—
1522	#125	—	53	4	no	—
1523	#124	—	53	4	no	—
1524	#124	—	53	4	no	—
1525	#124	—	53	4	no	—
1526	#124	—	53	4	no	—
1527	#124	—	53	4	no	—
1528	#124	—	53	4	no	—
1529	#124	—	53	4	no	—
1530	#124	—	53	4	no	—
1531	#124	—	53	4	no	—
1532	#124	—	53	4	no	—
1533	#124	—	53	4	no	—
1534	#124	—	53	4	no	—
1535	#124	—	53	4	no	—
1536	#124	—	53	4	no	—
1537	#124	—	53	4	no	—
1538	#124	—	53	4	no	—
1539	#124	—	53	4	no	—
1540	#124	—	53	4	no	—
1541	#124	—	53	4	no	—
1542	#124	C₂²×D₅₃	1	4	yes	complemented
1543	#123	—	53	2	no	—
1544	#123	—	53	2	no	—
1545	#123	—	53	2	no	—
1546	#123	—	53	2	no	—
1547	#123	—	53	2	no	—
1548	#123	—	53	2	no	—
1549	#123	—	53	4	no	—
1550	#123	—	53	4	no	—
1551	#123	—	53	4	no	—
1552	#123	—	53	2	no	—
1553	#123	—	53	2	no	—
1554	#123	—	53	4	no	—
1555	#123	—	53	4	no	—
1556	#123	—	53	2	no	—
1557	#123	—	53	2	no	—
1558	#123	—	53	4	no	—
1559	#123	—	53	4	no	—
1560	#123	—	53	4	no	—
1561	#123	—	53	4	no	—
1562	#123	—	53	4	no	—
1563	#123	—	53	4	no	—
1564	#123	—	53	4	no	—
1565	#123	—	53	4	no	—
1566	#123	—	53	4	no	—
1567	#123	—	53	4	no	—
1568	#123	—	53	4	no	—
1569	#123	—	53	2	no	—
1570	#123	—	53	2	no	—
1571	#123	—	53	2	no	—
1572	#123	—	53	2	no	—
1573	#123	—	53	4	no	—
1574	#123	—	53	4	no	—
1575	#123	—	53	4	no	—
1576	#123	—	53	4	no	—
1577	#123	—	53	4	no	—
1578	#123	—	53	4	no	—
1579	#123	—	53	4	no	—
1580	#123	—	53	4	no	—
1581	#123	—	53	2	no	—
1582	#123	—	53	2	no	—
1583	#123	—	53	4	no	—
1584	#123	—	53	4	no	—
1585	#123	—	53	4	no	—
1586	#123	—	53	4	no	—
1587	#123	—	53	4	no	—
1588	#123	—	53	4	no	—
1589	#123	—	53	4	no	—
1590	#123	—	53	4	no	—
1591	#123	—	53	4	no	—
1592	#123	—	53	4	no	—
1593	#123	—	53	4	no	—
1594	#123	—	53	4	no	—
1595	#123	—	53	4	no	—
1596	#123	—	53	4	no	—
1597	#123	—	53	4	no	—
1598	#123	—	53	4	no	—
1599	#123	—	53	4	no	—
1600	#123	C₂²×D₅₃	1	2	yes	—
1601	#123	C₂²×D₅₃	1	2	yes	—
1602	#123	C₂²×D₅₃	1	2	yes	complemented
1603	#123	C₂²×D₅₃	1	2	yes	complemented
1604	#123	C₂²×D₅₃	1	4	yes	complemented
1605	C₂²⋊Q₈	—	53	4	no	—
1606	C₂²⋊Q₈	—	53	4	no	—
1607	C₂²⋊Q₈	—	53	4	no	—
1608	C₂²⋊Q₈	—	53	4	no	—
1609	C₂²⋊Q₈	—	53	4	no	—
1610	C₂²⋊Q₈	—	53	4	no	—
1611	C₂²⋊Q₈	—	53	4	no	—
1612	C₂²⋊Q₈	—	53	4	no	—
1613	C₂²⋊Q₈	—	53	4	no	—
1614	C₂²⋊Q₈	—	53	4	no	—
1615	C₂²⋊Q₈	—	53	4	no	—
1616	C₂²⋊Q₈	—	53	4	no	—
1617	C₂²⋊Q₈	—	53	4	no	—
1618	C₂²⋊Q₈	—	53	4	no	—
1619	C₂²⋊Q₈	—	53	4	no	—
1620	C₂²⋊Q₈	—	53	4	no	—
1621	C₂²⋊Q₈	—	53	4	no	—
1622	C₂²⋊Q₈	—	53	4	no	—
1623	C₂²⋊Q₈	—	53	4	no	—
1624	C₂²⋊Q₈	—	53	4	no	—
1625	C₂²⋊Q₈	—	53	4	no	—
1626	C₂²⋊Q₈	—	53	4	no	—
1627	C₂²⋊Q₈	—	53	4	no	—
1628	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1629	#121	—	53	4	no	—
1630	#121	—	53	4	no	—
1631	#121	—	53	4	no	—
1632	#121	—	53	4	no	—
1633	#121	—	53	4	no	—
1634	#121	—	53	4	no	—
1635	#121	—	53	4	no	—
1636	#121	—	53	4	no	—
1637	#121	—	53	4	no	—
1638	#121	—	53	4	no	—
1639	#121	—	53	4	no	—
1640	#121	—	53	4	no	—
1641	#121	—	53	4	no	—
1642	#121	—	53	4	no	—
1643	#121	—	53	4	no	—
1644	#121	—	53	4	no	—
1645	#121	—	53	4	no	—
1646	#121	—	53	4	no	—
1647	#121	—	53	4	no	—
1648	#121	—	53	4	no	—
1649	#121	—	53	4	no	—
1650	#121	—	53	4	no	—
1651	#121	—	53	4	no	—
1652	#121	—	53	4	no	—
1653	#121	—	53	4	no	—
1654	#121	—	53	4	no	—
1655	#121	—	53	4	no	—
1656	#121	—	53	4	no	—
1657	#121	—	53	4	no	—
1658	#121	—	53	4	no	—
1659	#121	—	53	4	no	—
1660	#121	—	53	4	no	—
1661	#121	—	53	4	no	—
1662	#121	—	53	4	no	—
1663	#121	—	53	4	no	—
1664	#121	—	53	4	no	—
1665	#121	—	53	4	no	—
1666	#121	—	53	4	no	—
1667	#121	—	53	4	no	—
1668	#121	—	53	4	no	—
1669	#121	—	53	4	no	—
1670	#121	—	53	4	no	—
1671	#121	—	53	4	no	—
1672	#121	—	53	4	no	—
1673	#121	—	53	4	no	—
1674	#121	—	53	4	no	—
1675	#121	—	53	4	no	—
1676	#121	—	53	4	no	—
1677	#121	—	53	4	no	—
1678	#121	—	53	4	no	—
1679	#121	—	53	4	no	—
1680	#121	—	53	4	no	—
1681	#121	—	53	4	no	—
1682	#121	—	53	4	no	—
1683	#121	—	53	4	no	—
1684	#121	—	53	4	no	—
1685	#121	—	53	4	no	—
1686	#121	—	53	4	no	—
1687	#121	—	53	4	no	—
1688	#121	—	53	4	no	—
1689	#121	—	53	4	no	—
1690	#121	C₂²×D₅₃	1	4	yes	—
1691	#121	C₂²×D₅₃	1	4	yes	—
1692	#121	C₂²×D₅₃	1	4	yes	complemented
1693	#121	C₂²×D₅₃	1	4	yes	complemented
1694	#121	C₂²×D₅₃	1	4	yes	complemented
1695	#121	C₂²×D₅₃	1	4	yes	complemented
1696	#121	C₂²×D₅₃	1	4	yes	complemented
1697	#120	—	53	2	no	—
1698	#120	—	53	2	no	—
1699	#120	—	53	2	no	—
1700	#120	—	53	2	no	—
1701	#120	—	53	4	no	—
1702	#120	—	53	4	no	—
1703	#120	—	53	4	no	—
1704	#120	—	53	4	no	—
1705	#120	—	53	4	no	—
1706	#120	—	53	2	no	—
1707	#120	—	53	2	no	—
1708	#120	—	53	2	no	—
1709	#120	—	53	4	no	—
1710	#120	—	53	4	no	—
1711	#120	—	53	4	no	—
1712	#120	—	53	2	no	—
1713	#120	—	53	4	no	—
1714	#120	—	53	4	no	—
1715	#120	—	53	2	no	—
1716	#120	—	53	2	no	—
1717	#120	—	53	2	no	—
1718	#120	—	53	2	no	—
1719	#120	—	53	2	no	—
1720	#120	—	53	2	no	—
1721	#120	—	53	4	no	—
1722	#120	—	53	4	no	—
1723	#120	—	53	4	no	—
1724	#120	—	53	4	no	—
1725	#120	—	53	4	no	—
1726	#120	—	53	4	no	—
1727	#120	—	53	2	no	—
1728	#120	—	53	2	no	—
1729	#120	—	53	4	no	—
1730	#120	—	53	4	no	—
1731	#120	—	53	4	no	—
1732	#120	—	53	4	no	—
1733	#120	—	53	2	no	—
1734	#120	—	53	2	no	—
1735	#120	—	53	4	no	—
1736	#120	—	53	4	no	—
1737	#120	—	53	2	no	—
1738	#120	—	53	2	no	—
1739	#120	—	53	4	no	—
1740	#120	—	53	4	no	—
1741	#120	—	53	4	no	—
1742	#120	C₂²×D₅₃	1	2	yes	—
1743	#120	C₂²×D₅₃	1	2	yes	—
1744	#120	C₂²×D₅₃	1	2	yes	—
1745	#120	C₂²×D₅₃	1	4	yes	—
1746	#120	C₂²×D₅₃	1	2	yes	—
1747	#120	C₂²×D₅₃	1	4	yes	—
1748	#120	C₂²×D₅₃	1	2	yes	complemented
1749	#120	C₂²×D₅₃	1	2	yes	complemented
1750	#120	C₂²×D₅₃	1	4	yes	complemented
1751	#120	C₂²×D₅₃	1	2	yes	complemented
1752	#120	C₂²×D₅₃	1	4	yes	complemented
1753	#120	C₂²×D₅₃	1	2	yes	complemented
1754	#120	C₂²×D₅₃	1	4	yes	complemented
1755	C₄×Q₈	—	53	4	no	—
1756	C₄×Q₈	—	53	4	no	—
1757	C₄×D₄	—	53	4	no	—
1758	C₄×D₄	—	53	4	no	—
1759	C₄×D₄	—	53	4	no	—
1760	C₄×D₄	—	53	4	no	—
1761	C₄×D₄	—	53	4	no	—
1762	C₄×D₄	—	53	4	no	—
1763	C₄×D₄	—	53	4	no	—
1764	C₄×D₄	—	53	4	no	—
1765	C₄×D₄	—	53	4	no	—
1766	C₄×D₄	—	53	4	no	—
1767	C₄×D₄	—	53	4	no	—
1768	C₄×D₄	—	53	4	no	—
1769	C₄×D₄	—	53	4	no	—
1770	C₄×D₄	—	53	4	no	—
1771	C₄×D₄	—	53	4	no	—
1772	C₄×D₄	—	53	4	no	—
1773	C₄×D₄	—	53	4	no	—
1774	C₄×D₄	—	53	4	no	—
1775	C₄×D₄	—	53	4	no	—
1776	C₄×D₄	—	53	4	no	—
1777	C₄×D₄	—	53	4	no	—
1778	C₄×D₄	—	53	4	no	—
1779	C₄×D₄	—	53	4	no	—
1780	C₄×D₄	—	53	4	no	—
1781	C₄×D₄	—	53	4	no	—
1782	C₄×D₄	—	53	4	no	—
1783	C₄×D₄	—	53	4	no	—
1784	C₄×D₄	—	53	4	no	—
1785	C₄×D₄	—	53	4	no	—
1786	C₄×D₄	—	53	4	no	—
1787	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1788	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1789	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1790	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1791	#117	—	53	2	no	—
1792	#117	—	53	2	no	—
1793	#117	—	53	2	no	—
1794	#117	—	53	4	no	—
1795	#117	—	53	4	no	—
1796	#117	—	53	4	no	—
1797	#117	—	53	4	no	—
1798	#117	—	53	2	no	—
1799	#117	—	53	2	no	—
1800	#117	—	53	4	no	—
1801	#117	—	53	4	no	—
1802	#117	—	53	4	no	—
1803	#117	—	53	4	no	—
1804	#117	—	53	4	no	—
1805	#117	—	53	4	no	—
1806	#117	C₂²×D₅₃	1	2	yes	complemented
1807	C₂×C₄⋊C₄	—	53	2	no	—
1808	C₂×C₄⋊C₄	—	53	2	no	—
1809	C₂×C₄⋊C₄	—	53	2	no	—
1810	C₂×C₄⋊C₄	—	53	2	no	—
1811	C₂×C₄⋊C₄	—	53	2	no	—
1812	C₂×C₄⋊C₄	—	53	4	no	—
1813	C₂×C₄⋊C₄	—	53	4	no	—
1814	C₂×C₂²⋊C₄	—	53	1	no	—
1815	C₂×C₂²⋊C₄	—	53	1	no	—
1816	C₂×C₂²⋊C₄	—	53	1	no	—
1817	C₂×C₂²⋊C₄	—	53	2	no	—
1818	C₂×C₂²⋊C₄	—	53	4	no	—
1819	C₂×C₂²⋊C₄	—	53	4	no	—
1820	C₂×C₂²⋊C₄	—	53	1	no	—
1821	C₂×C₂²⋊C₄	—	53	2	no	—
1822	C₂×C₂²⋊C₄	—	53	2	no	—
1823	C₂×C₂²⋊C₄	—	53	2	no	—
1824	C₂×C₂²⋊C₄	—	53	2	no	—
1825	C₂×C₂²⋊C₄	—	53	2	no	—
1826	C₂×C₂²⋊C₄	—	53	2	no	—
1827	C₂×C₂²⋊C₄	—	53	2	no	—
1828	C₂×C₂²⋊C₄	—	53	2	no	—
1829	C₂×C₂²⋊C₄	—	53	4	no	—
1830	C₂×C₂²⋊C₄	—	53	4	no	—
1831	C₂×C₂²⋊C₄	—	53	2	no	—
1832	C₂×C₂²⋊C₄	—	53	2	no	—
1833	C₂×C₂²⋊C₄	—	53	2	no	—
1834	C₂×C₂²⋊C₄	—	53	2	no	—
1835	C₂×C₂²⋊C₄	—	53	2	no	—
1836	C₂×C₂²⋊C₄	—	53	2	no	—
1837	C₂×C₂²⋊C₄	—	53	4	no	—
1838	C₂×C₂²⋊C₄	—	53	4	no	—
1839	C₂×C₂²⋊C₄	—	53	4	no	—
1840	C₂×C₂²⋊C₄	—	53	2	no	—
1841	C₂×C₂²⋊C₄	—	53	2	no	—
1842	C₂×C₂²⋊C₄	—	53	4	no	—
1843	C₂×C₂²⋊C₄	—	53	4	no	—
1844	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1845	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1846	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1847	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1848	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1849	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1850	C₂×C₄²	—	53	2	no	—
1851	C₂⁴	—	2	4	no	—
1852	C₂⁴	—	4	2	no	—
1853	C₂⁴	—	8	2	no	—
1854	C₂⁴	—	8	2	no	—
1855	C₂⁴	—	53	2	no	—
1856	C₂⁴	—	53	2	no	—
1857	C₂⁴	—	53	1	no	—
1858	C₂⁴	—	53	1	no	—
1859	C₂⁴	—	53	1	no	—
1860	C₂⁴	—	53	1	no	—
1861	C₂⁴	—	53	4	no	—
1862	C₂⁴	—	53	2	no	—
1863	C₂⁴	—	106	4	no	—
1864	C₂⁴	—	424	2	no	—
1865	C₂⁴	—	424	2	no	—
1866	C₂⁴	—	212	2	no	—
1867	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1868	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1869	C₂⁴	C₂³×D₅₃	1	2	yes	—
1870	C₂⁴	C₂³×D₅₃	1	2	yes	—
1871	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1872	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1873	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1874	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1875	C₂⁴	C₂³×D₅₃	1	2	yes	—
1876	C₂⁴	C₂³×D₅₃	1	4	yes	—
1877	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1878	#41	—	4	4	no	—
1879	#41	—	4	4	no	—
1880	#41	—	4	4	no	—
1881	#41	—	424	4	no	—
1882	#41	—	424	4	no	—
1883	#41	—	424	4	no	—
1884	#41	—	424	4	no	—
1885	#41	—	212	4	no	—
1886	#41	—	212	8	no	—
1887	#41	—	212	8	no	—
1888	#41	—	212	4	no	—
1889	#41	—	212	4	no	—
1890	C₂×Q₈	—	53	4	no	—
1891	C₂×Q₈	—	53	4	no	—
1892	C₂×Q₈	—	53	2	no	—
1893	C₂×Q₈	—	53	4	no	—
1894	C₂×Q₈	—	212	2	no	—
1895	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1896	C₂×D₄	—	2	4	no	—
1897	C₂×D₄	—	2	4	no	—
1898	C₂×D₄	—	2	4	no	—
1899	C₂×D₄	—	2	4	no	—
1900	C₂×D₄	—	4	2	no	—
1901	C₂×D₄	—	4	2	no	—
1902	C₂×D₄	—	4	8	no	—
1903	C₂×D₄	—	4	8	no	—
1904	C₂×D₄	—	4	4	no	—
1905	C₂×D₄	—	4	4	no	—
1906	C₂×D₄	—	4	4	no	—
1907	C₂×D₄	—	8	2	no	—
1908	C₂×D₄	—	8	2	no	—
1909	C₂×D₄	—	8	4	no	—
1910	C₂×D₄	—	53	2	no	—
1911	C₂×D₄	—	53	2	no	—
1912	C₂×D₄	—	53	2	no	—
1913	C₂×D₄	—	53	2	no	—
1914	C₂×D₄	—	53	4	no	—
1915	C₂×D₄	—	53	4	no	—
1916	C₂×D₄	—	53	4	no	—
1917	C₂×D₄	—	53	4	no	—
1918	C₂×D₄	—	53	4	no	—
1919	C₂×D₄	—	53	4	no	—
1920	C₂×D₄	—	53	4	no	—
1921	C₂×D₄	—	53	4	no	—
1922	C₂×D₄	—	53	4	no	—
1923	C₂×D₄	—	53	4	no	—
1924	C₂×D₄	—	53	4	no	—
1925	C₂×D₄	—	53	4	no	—
1926	C₂×D₄	—	53	4	no	—
1927	C₂×D₄	—	53	4	no	—
1928	C₂×D₄	—	53	2	no	—
1929	C₂×D₄	—	53	2	no	—
1930	C₂×D₄	—	53	2	no	—
1931	C₂×D₄	—	53	2	no	—
1932	C₂×D₄	—	53	2	no	—
1933	C₂×D₄	—	53	2	no	—
1934	C₂×D₄	—	53	2	no	—
1935	C₂×D₄	—	53	2	no	—
1936	C₂×D₄	—	53	4	no	—
1937	C₂×D₄	—	53	4	no	—
1938	C₂×D₄	—	53	2	no	—
1939	C₂×D₄	—	53	2	no	—
1940	C₂×D₄	—	53	4	no	—
1941	C₂×D₄	—	53	4	no	—
1942	C₂×D₄	—	53	2	no	—
1943	C₂×D₄	—	53	4	no	—
1944	C₂×D₄	—	106	4	no	—
1945	C₂×D₄	—	106	4	no	—
1946	C₂×D₄	—	424	2	no	—
1947	C₂×D₄	—	424	4	no	—
1948	C₂×D₄	—	424	2	no	—
1949	C₂×D₄	—	424	2	no	—
1950	C₂×D₄	—	424	2	no	—
1951	C₂×D₄	—	424	2	no	—
1952	C₂×D₄	—	424	2	no	—
1953	C₂×D₄	—	424	4	no	—
1954	C₂×D₄	—	424	4	no	—
1955	C₂×D₄	—	212	2	no	—
1956	C₂×D₄	—	212	4	no	—
1957	C₂×D₄	—	212	4	no	—
1958	C₂×D₄	—	212	4	no	—
1959	C₂×D₄	—	212	4	no	—
1960	C₂×D₄	—	212	4	no	—
1961	C₂×D₄	—	212	4	no	—
1962	C₂×D₄	—	212	2	no	—
1963	C₂×D₄	—	212	2	no	—
1964	C₂×D₄	—	212	8	no	—
1965	C₂×D₄	—	212	8	no	—
1966	C₂×D₄	—	212	4	no	—
1967	C₂×D₄	—	212	4	no	—
1968	C₂×D₄	—	212	4	no	—
1969	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1970	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1971	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1972	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1973	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1974	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1975	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1976	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1977	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1978	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1979	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1980	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1981	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1982	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1983	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1984	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1985	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1986	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1987	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1988	C₂²×C₄	—	4	2	no	—
1989	C₂²×C₄	—	53	1	no	—
1990	C₂²×C₄	—	53	1	no	—
1991	C₂²×C₄	—	53	2	no	—
1992	C₂²×C₄	—	53	2	no	—
1993	C₂²×C₄	—	53	1	no	—
1994	C₂²×C₄	—	53	1	no	—
1995	C₂²×C₄	—	53	2	no	—
1996	C₂²×C₄	—	53	2	no	—
1997	C₂²×C₄	—	53	2	no	—
1998	C₂²×C₄	—	53	2	no	—
1999	C₂²×C₄	—	53	4	no	—
2000	C₂²×C₄	—	53	4	no	—
2001	C₂²×C₄	—	53	4	no	—
2002	C₂²×C₄	—	53	4	no	—
2003	C₂²×C₄	—	53	4	no	—
2004	C₂²×C₄	—	53	2	no	—
2005	C₂²×C₄	—	53	4	no	—
2006	C₂²×C₄	—	53	4	no	—
2007	C₂²×C₄	—	53	4	no	—
2008	C₂²×C₄	—	53	4	no	—
2009	C₂²×C₄	—	53	4	no	—
2010	C₂²×C₄	—	53	2	no	—
2011	C₂²×C₄	—	53	4	no	—
2012	C₂²×C₄	—	53	2	no	—
2013	C₂²×C₄	—	53	4	no	—
2014	C₂²×C₄	—	106	4	no	—
2015	C₂²×C₄	—	424	2	no	—
2016	C₂²×C₄	—	424	2	no	—
2017	C₂²×C₄	—	212	2	no	—
2018	C₂²×C₄	—	212	2	no	—
2019	C₂²×C₄	—	212	2	no	—
2020	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2021	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2022	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2023	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2024	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2025	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2026	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2027	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2028	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2029	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2030	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2031	C₄⋊C₄	—	53	4	no	—
2032	C₄⋊C₄	—	53	4	no	—
2033	C₄⋊C₄	—	53	4	no	—
2034	C₄⋊C₄	—	53	4	no	—
2035	C₄⋊C₄	—	53	4	no	—
2036	C₄⋊C₄	—	53	4	no	—
2037	C₄⋊C₄	—	53	4	no	—
2038	C₄⋊C₄	—	53	4	no	—
2039	C₄⋊C₄	—	53	4	no	—
2040	C₄⋊C₄	—	53	4	no	—
2041	C₄⋊C₄	—	53	4	no	—
2042	C₄⋊C₄	—	53	4	no	—
2043	C₄⋊C₄	—	53	4	no	—
2044	C₄⋊C₄	—	53	4	no	—
2045	C₄⋊C₄	—	53	4	no	—
2046	C₄⋊C₄	—	53	4	no	—
2047	C₄⋊C₄	—	53	4	no	—
2048	C₄⋊C₄	—	53	4	no	—
2049	C₄⋊C₄	—	53	4	no	—
2050	C₄⋊C₄	—	53	4	no	—
2051	C₄⋊C₄	—	53	4	no	—
2052	C₄⋊C₄	—	53	4	no	—
2053	C₄⋊C₄	—	53	4	no	—
2054	C₄⋊C₄	—	53	4	no	—
2055	C₄⋊C₄	—	53	4	no	—
2056	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2057	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2058	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2059	C₂²⋊C₄	—	53	2	no	—
2060	C₂²⋊C₄	—	53	2	no	—
2061	C₂²⋊C₄	—	53	2	no	—
2062	C₂²⋊C₄	—	53	2	no	—
2063	C₂²⋊C₄	—	53	2	no	—
2064	C₂²⋊C₄	—	53	2	no	—
2065	C₂²⋊C₄	—	53	4	no	—
2066	C₂²⋊C₄	—	53	4	no	—
2067	C₂²⋊C₄	—	53	2	no	—
2068	C₂²⋊C₄	—	53	2	no	—
2069	C₂²⋊C₄	—	53	4	no	—
2070	C₂²⋊C₄	—	53	4	no	—
2071	C₂²⋊C₄	—	53	4	no	—
2072	C₂²⋊C₄	—	53	4	no	—
2073	C₂²⋊C₄	—	53	4	no	—
2074	C₂²⋊C₄	—	53	4	no	—
2075	C₂²⋊C₄	—	53	4	no	—
2076	C₂²⋊C₄	—	53	4	no	—
2077	C₂²⋊C₄	—	53	4	no	—
2078	C₂²⋊C₄	—	53	4	no	—
2079	C₂²⋊C₄	—	53	4	no	—
2080	C₂²⋊C₄	—	53	4	no	—
2081	C₂²⋊C₄	—	53	4	no	—
2082	C₂²⋊C₄	—	53	4	no	—
2083	C₂²⋊C₄	—	53	4	no	—
2084	C₂²⋊C₄	—	53	4	no	—
2085	C₂²⋊C₄	—	53	4	no	—
2086	C₂²⋊C₄	—	53	4	no	—
2087	C₂²⋊C₄	—	53	4	no	—
2088	C₂²⋊C₄	—	53	4	no	—
2089	C₂²⋊C₄	—	53	4	no	—
2090	C₂²⋊C₄	—	53	4	no	—
2091	C₂²⋊C₄	—	53	4	no	—
2092	C₂²⋊C₄	—	53	4	no	—
2093	C₂²⋊C₄	—	53	4	no	—
2094	C₂²⋊C₄	—	53	4	no	—
2095	C₂²⋊C₄	—	53	4	no	—
2096	C₂²⋊C₄	—	53	4	no	—
2097	C₂²⋊C₄	—	53	4	no	—
2098	C₂²⋊C₄	—	53	4	no	—
2099	C₂²⋊C₄	—	53	4	no	—
2100	C₂²⋊C₄	—	53	4	no	—
2101	C₂²⋊C₄	—	53	4	no	—
2102	C₂²⋊C₄	—	53	4	no	—
2103	C₂²⋊C₄	—	53	4	no	—
2104	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2105	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2106	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2107	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2108	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2109	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2110	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2111	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2112	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2113	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2114	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2115	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2116	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2117	C₄²	—	53	4	no	—
2118	C₄²	—	53	4	no	—
2119	C₄²	—	53	4	no	—
2120	C₄²	—	53	4	no	—
2121	C₄²	—	53	4	no	—
2122	C₄²	—	53	4	no	—
2123	C₄²	—	53	4	no	—
2124	C₄²	C₂³×D₅₃	1	4	yes	—
2125	C₂³	—	2	2	no	—
2126	C₂³	—	2	2	no	—
2127	C₂³	—	2	2	no	—
2128	C₂³	—	2	2	no	—
2129	C₂³	—	2	2	no	—
2130	C₂³	—	2	2	no	—
2131	C₂³	—	2	4	no	—
2132	C₂³	—	2	4	no	—
2133	C₂³	—	4	2	no	—
2134	C₂³	—	4	2	no	—
2135	C₂³	—	4	2	no	—
2136	C₂³	—	4	4	no	—
2137	C₂³	—	4	2	no	—
2138	C₂³	—	4	2	no	—
2139	C₂³	—	4	2	no	—
2140	C₂³	—	4	4	no	—
2141	C₂³	—	4	2	no	—
2142	C₂³	—	4	2	no	—
2143	C₂³	—	4	2	no	—
2144	C₂³	—	4	2	no	—
2145	C₂³	—	4	2	no	—
2146	C₂³	—	4	4	no	—
2147	C₂³	—	4	2	no	—
2148	C₂³	—	4	4	no	—
2149	C₂³	—	8	8	no	—
2150	C₂³	—	8	8	no	—
2151	C₂³	—	53	2	no	—
2152	C₂³	—	53	2	no	—
2153	C₂³	—	53	2	no	—
2154	C₂³	—	53	2	no	—
2155	C₂³	—	106	2	no	—
2156	C₂³	—	106	2	no	—
2157	C₂³	—	106	4	no	—
2158	C₂³	—	106	4	no	—
2159	C₂³	—	106	2	no	—
2160	C₂³	—	106	2	no	—
2161	C₂³	—	424	8	no	—
2162	C₂³	—	424	8	no	—
2163	C₂³	—	212	4	no	—
2164	C₂³	—	212	2	no	—
2165	C₂³	—	212	2	no	—
2166	C₂³	—	212	2	no	—
2167	C₂³	—	212	2	no	—
2168	C₂³	—	212	2	no	—
2169	C₂³	—	212	2	no	—
2170	C₂³	—	212	2	no	—
2171	C₂³	—	212	4	no	—
2172	C₂³	—	212	4	no	—
2173	C₂³	—	212	4	no	—
2174	C₂³	—	212	2	no	—
2175	C₂³	—	212	2	no	—
2176	C₂³	#13133262	1	4	yes	—
2177	C₂³	C₂⁴×D₅₃	1	2	yes	—
2178	C₂³	C₂⁴×D₅₃	1	2	yes	—
2179	C₂³	C₂⁴×D₅₃	1	2	yes	—
2180	C₂³	C₂⁴×D₅₃	1	2	yes	—
2181	C₂³	C₂⁴×D₅₃	1	2	yes	—
2182	C₂³	C₂⁴×D₅₃	1	2	yes	—
2183	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2184	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2185	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2186	Q₈	—	4	2	no	—
2187	Q₈	—	212	4	no	—
2188	Q₈	—	212	4	no	—
2189	Q₈	—	212	4	no	—
2190	Q₈	—	212	2	no	—
2191	D₄	—	2	4	no	—
2192	D₄	—	2	4	no	—
2193	D₄	—	2	4	no	—
2194	D₄	—	2	4	no	—
2195	D₄	—	2	4	no	—
2196	D₄	—	2	4	no	—
2197	D₄	—	2	4	no	—
2198	D₄	—	2	4	no	—
2199	D₄	—	4	4	no	—
2200	D₄	—	4	4	no	—
2201	D₄	—	4	2	no	—
2202	D₄	—	4	2	no	—
2203	D₄	—	4	2	no	—
2204	D₄	—	4	4	no	—
2205	D₄	—	4	4	no	—
2206	D₄	—	4	4	no	—
2207	D₄	—	4	4	no	—
2208	D₄	—	4	4	no	—
2209	D₄	—	4	4	no	—
2210	D₄	—	106	4	no	—
2211	D₄	—	106	4	no	—
2212	D₄	—	106	4	no	—
2213	D₄	—	106	4	no	—
2214	D₄	—	212	4	no	—
2215	D₄	—	212	4	no	—
2216	D₄	—	212	4	no	—
2217	D₄	—	212	2	no	—
2218	D₄	—	212	4	no	—
2219	D₄	—	212	4	no	—
2220	D₄	—	212	4	no	—
2221	D₄	—	212	4	no	—
2222	D₄	—	212	4	no	—
2223	D₄	—	212	4	no	—
2224	D₄	—	212	4	no	—
2225	D₄	—	212	4	no	—
2226	D₄	—	212	4	no	—
2227	D₄	—	212	4	no	—
2228	D₄	—	212	4	no	—
2229	D₄	—	212	4	no	—
2230	D₄	—	212	4	no	—
2231	D₄	—	212	4	no	—
2232	D₄	—	212	2	no	—
2233	D₄	—	212	2	no	—
2234	D₄	—	212	2	no	—
2235	D₄	—	212	2	no	—
2236	D₄	—	212	2	no	—
2237	D₄	—	212	2	no	—
2238	D₄	—	212	2	no	—
2239	D₄	—	212	2	no	—
2240	D₄	—	212	4	no	—
2241	D₄	—	212	2	no	—
2242	D₄	—	212	2	no	—
2243	D₄	—	212	4	no	—
2244	C₂×C₄	—	2	2	no	—
2245	C₂×C₄	—	2	2	no	—
2246	C₂×C₄	—	2	2	no	—
2247	C₂×C₄	—	2	2	no	—
2248	C₂×C₄	—	4	4	no	—
2249	C₂×C₄	—	4	2	no	—
2250	C₂×C₄	—	4	2	no	—
2251	C₂×C₄	—	4	2	no	—
2252	C₂×C₄	—	4	2	no	—
2253	C₂×C₄	—	4	2	no	—
2254	C₂×C₄	—	4	4	no	—
2255	C₂×C₄	—	53	4	no	—
2256	C₂×C₄	—	53	2	no	—
2257	C₂×C₄	—	53	4	no	—
2258	C₂×C₄	—	53	4	no	—
2259	C₂×C₄	—	53	4	no	—
2260	C₂×C₄	—	53	2	no	—
2261	C₂×C₄	—	53	2	no	—
2262	C₂×C₄	—	53	2	no	—
2263	C₂×C₄	—	106	2	no	—
2264	C₂×C₄	—	106	2	no	—
2265	C₂×C₄	—	106	4	no	—
2266	C₂×C₄	—	106	4	no	—
2267	C₂×C₄	—	106	2	no	—
2268	C₂×C₄	—	106	2	no	—
2269	C₂×C₄	—	212	4	no	—
2270	C₂×C₄	—	212	4	no	—
2271	C₂×C₄	—	212	4	no	—
2272	C₂×C₄	—	212	4	no	—
2273	C₂×C₄	—	212	4	no	—
2274	C₂×C₄	—	212	2	no	—
2275	C₂×C₄	—	212	2	no	—
2276	C₂×C₄	—	212	4	no	—
2277	C₂×C₄	—	212	2	no	—
2278	C₂×C₄	—	212	2	no	—
2279	C₂×C₄	—	212	2	no	—
2280	C₂×C₄	—	212	4	no	—
2281	C₂×C₄	—	212	4	no	—
2282	C₂×C₄	—	212	4	no	—
2283	C₂×C₄	—	212	2	no	—
2284	C₂×C₄	—	212	4	no	—
2285	C₂×C₄	—	212	4	no	—
2286	C₂×C₄	—	212	2	no	—
2287	C₂×C₄	—	212	4	no	—
2288	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2289	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2290	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2291	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2292	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2293	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2294	C₂²	—	2	2	no	—
2295	C₂²	—	2	2	no	—
2296	C₂²	—	2	2	no	—
2297	C₂²	—	2	2	no	—
2298	C₂²	—	2	2	no	—
2299	C₂²	—	2	2	no	—
2300	C₂²	—	2	2	no	—
2301	C₂²	—	2	2	no	—
2302	C₂²	—	2	2	no	—
2303	C₂²	—	2	4	no	—
2304	C₂²	—	2	2	no	—
2305	C₂²	—	2	2	no	—
2306	C₂²	—	2	4	no	—
2307	C₂²	—	2	4	no	—
2308	C₂²	—	2	4	no	—
2309	C₂²	—	2	2	no	—
2310	C₂²	—	2	2	no	—
2311	C₂²	—	4	4	no	—
2312	C₂²	—	4	4	no	—
2313	C₂²	—	4	4	no	—
2314	C₂²	—	8	2	no	—
2315	C₂²	—	8	2	no	—
2316	C₂²	—	8	4	no	—
2317	C₂²	—	8	4	no	—
2318	C₂²	—	8	2	no	—
2319	C₂²	—	8	2	no	—
2320	C₂²	—	8	8	no	—
2321	C₂²	—	16	2	no	—
2322	C₂²	—	848	2	no	—
2323	C₂²	—	106	2	no	—
2324	C₂²	—	106	2	no	—
2325	C₂²	—	106	2	no	—
2326	C₂²	—	106	2	no	—
2327	C₂²	—	106	2	no	—
2328	C₂²	—	106	2	no	—
2329	C₂²	—	106	4	no	—
2330	C₂²	—	106	4	no	—
2331	C₂²	—	106	2	no	—
2332	C₂²	—	106	2	no	—
2333	C₂²	—	424	4	no	—
2334	C₂²	—	424	4	no	—
2335	C₂²	—	424	2	no	—
2336	C₂²	—	424	2	no	—
2337	C₂²	—	424	8	no	—
2338	C₂²	—	212	4	no	—
2339	C₂²	—	212	4	no	—
2340	C₂²	C₂×#13133262	1	2	yes	—
2341	C₂²	C₂×#13133262	1	2	yes	—
2342	C₂²	C₂×#13133262	1	2	yes	—
2343	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2344	C₄	—	2	2	no	—
2345	C₄	—	2	2	no	—
2346	C₄	—	2	2	no	—
2347	C₄	—	2	2	no	—
2348	C₄	—	2	4	no	—
2349	C₄	—	2	4	no	—
2350	C₄	—	106	2	no	—
2351	C₄	—	106	2	no	—
2352	C₄	—	106	2	no	—
2353	C₄	—	106	2	no	—
2354	C₄	—	106	4	no	—
2355	C₄	—	106	4	no	—
2356	C₄	—	106	4	no	—
2357	C₄	—	106	4	no	—
2358	C₂	—	2	2	no	—
2359	C₂	—	2	2	no	—
2360	C₂	—	2	2	no	—
2361	C₂	—	4	2	no	—
2362	C₂	—	4	2	no	—
2363	C₂	—	4	2	no	—
2364	C₂	—	4	2	no	—
2365	C₂	—	4	2	no	—
2366	C₂	—	4	2	no	—
2367	C₂	—	212	2	no	—
2368	C₂	—	212	2	no	—
2369	C₂	—	212	2	no	—
2370	C₂	—	212	2	no	—
2371	C₂	C₂²×#13133262	1	1	yes	characteristic
2372	C₂	#20289525	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3484	C₂
hypercenter	#3484	D₅₃
hypocenter	C₅₃	#62862
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3484

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20289062	C₂	semidirect
2. #20289040	C₂	semidirect
3. #20289036	C₂	semidirect
4. #20289026	C₂	semidirect
5. #20289018	C₂	semidirect
6. #20289016	C₂	semidirect
7. #20288897	C₂	semidirect
8. #20288893	C₂	semidirect
9. #20288879	C₂	semidirect
10. #20288874	C₂	semidirect
11. #20288870	C₂	semidirect
12. #20288865	C₂	semidirect
13. #20288412	C₂	semidirect
14. #20288408	C₂	semidirect
15. #20288403	C₂	semidirect
16. #20288402	C₂	semidirect
17. #20288402	C₂	semidirect
18. #20288400	C₂	semidirect
19. #20288356	C₂	semidirect
20. #20288355	C₂	semidirect
21. #20288350	C₂	semidirect
22. #20288347	C₂	semidirect
23. #20288346	C₂	semidirect
24. C₂×#16811188	C₂	semidirect
25. C₂×#16811183	C₂	semidirect
26. C₂×#16811182	C₂	semidirect
27. C₅₃×#3484	C₂	semidirect
28. C₂×#13133262	C₂²	semidirect
29. C₂²×#11719947	C₂²	semidirect
30. C₂³×C₂²⋊D₅₃	C₂²	semidirect
31. C₂²×D₄×D₅₃	C₂²	semidirect
32. #16811374	C₂²	semidirect
33. #16811370	C₂²	semidirect
34. #16811369	C₂²	semidirect
35. #16811368	C₂²	semidirect
36. #16811368	C₂²	semidirect
37. #16811368	C₂²	semidirect
38. #16811367	C₂²	semidirect
39. #16811366	C₂²	semidirect
40. #16811362	C₂²	semidirect
41. #16811362	C₂²	semidirect
42. #16811362	C₂²	semidirect
43. #16811362	C₂²	semidirect
44. #16811361	C₂²	semidirect
45. #16811361	C₂²	semidirect
46. #16811361	C₂²	semidirect
47. #16811360	C₂²	semidirect
48. #16811356	C₂²	semidirect
49. #16811337	C₂²	semidirect
50. #16811335	C₂²	semidirect
51. #16811323	C₂²	semidirect
52. #16811322	C₂²	semidirect
53. #16811318	C₂²	semidirect
54. #16811316	C₂²	semidirect
55. #16811313	C₂²	semidirect
56. #16811310	C₂²	semidirect
57. #16811310	C₂²	semidirect
58. #16811306	C₂²	semidirect
59. #16811304	C₂²	semidirect
60. #16811304	C₂²	semidirect
61. #16811304	C₂²	semidirect
62. #16811304	C₂²	semidirect
63. #16811302	C₂²	semidirect
64. #16811302	C₂²	semidirect
65. #16811302	C₂²	semidirect
66. #16811299	C₂²	semidirect
67. #16811299	C₂²	semidirect
68. #16811299	C₂²	semidirect
69. #16811299	C₂²	semidirect
70. #16811297	C₂²	semidirect
71. #16811296	C₂²	semidirect
72. #16811296	C₂²	semidirect
73. #16811293	C₂²	semidirect
74. #16811291	C₂²	semidirect
75. #16811273	C₂²	semidirect
76. #16811272	C₂²	semidirect
77. #16811272	C₂²	semidirect
78. #16811271	C₂²	semidirect
79. #16811269	C₂²	semidirect
80. #16811267	C₂²	semidirect
81. #16811267	C₂²	semidirect
82. #16811267	C₂²	semidirect
83. #16811267	C₂²	semidirect
84. #16811267	C₂²	semidirect
85. #16811267	C₂²	semidirect
86. #16811267	C₂²	semidirect
87. #16811265	C₂²	semidirect
88. #16811263	C₂²	semidirect
89. #16811263	C₂²	semidirect
90. #16811262	C₂²	semidirect
91. #16811262	C₂²	semidirect
92. #16811262	C₂²	semidirect
93. #16811261	C₂²	semidirect
94. #16811261	C₂²	semidirect
95. #16811260	C₂²	semidirect
96. #16811260	C₂²	semidirect
97. #16811260	C₂²	semidirect
98. #16811260	C₂²	semidirect
99. #16811260	C₂²	semidirect
100. #16811260	C₂²	semidirect
101. #16811257	C₂²	semidirect
102. D₄×C₂²⋊D₅₃	C₂²	semidirect
103. D₄×C₂²⋊D₅₃	C₂²	semidirect
104. D₄×C₂²⋊D₅₃	C₂²	semidirect
105. D₄×C₂²⋊D₅₃	C₂²	semidirect
106. D₄×C₂²⋊D₅₃	C₂²	semidirect
107. #16811255	C₂²	semidirect
108. #16811249	C₂²	semidirect
109. #16811249	C₂²	semidirect
110. #16811243	C₂²	semidirect
111. #16811241	C₂²	semidirect
112. #16811238	C₂²	semidirect
113. #16811237	C₂²	semidirect
114. #16811227	C₂²	semidirect
115. #16811226	C₂²	semidirect
116. #16811225	C₂²	semidirect
117. #16811224	C₂²	semidirect
118. #16811223	C₂²	semidirect
119. #16811223	C₂²	semidirect
120. #16811223	C₂²	semidirect
121. #16811223	C₂²	semidirect
122. #16811219	C₂²	semidirect
123. #16811218	C₂²	semidirect
124. #16811215	C₂²	semidirect
125. #16811215	C₂²	semidirect
126. #16811211	C₂²	semidirect
127. #16811211	C₂²	semidirect
128. #16811210	C₂²	semidirect
129. #16811210	C₂²	semidirect
130. #16811208	C₂²	semidirect
131. #16811208	C₂²	semidirect
132. #16811208	C₂²	semidirect
133. #16811208	C₂²	semidirect
134. #16811208	C₂²	semidirect
135. #16811207	C₂²	semidirect
136. #16811206	C₂²	semidirect
137. #16811206	C₂²	semidirect
138. #16811205	C₂²	semidirect
139. #16811205	C₂²	semidirect
140. #16811202	C₂²	semidirect
141. #16811200	C₂²	semidirect
142. #16811195	C₂²	semidirect
143. #16811194	C₂²	semidirect
144. #16811190	C₂²	semidirect
145. #16811190	C₂²	semidirect
146. #16811188	C₂²	semidirect
147. #16811188	C₂²	semidirect
148. #16811188	C₂²	semidirect
149. #16811188	C₂²	semidirect
150. #16811188	C₂²	semidirect
151. #16811188	C₂²	semidirect
152. #16811188	C₂²	semidirect
153. #16811187	C₂²	semidirect
154. #16811186	C₂²	semidirect
155. #16811184	C₂²	semidirect
156. #16811183	C₂²	semidirect
157. #16811183	C₂²	semidirect
158. #16811183	C₂²	semidirect
159. #16811183	C₂²	semidirect
160. #16811183	C₂²	semidirect
161. #16811183	C₂²	semidirect
163. #16811182	C₂²	semidirect
164. #16811182	C₂²	semidirect
165. #16811182	C₂²	semidirect
166. #16811182	C₂²	semidirect
167. #16811182	C₂²	semidirect
168. #16811182	C₂²	semidirect
169. #16811182	C₂²	semidirect
170. #16811182	C₂²	semidirect
171. #16811182	C₂²	semidirect
172. #16811182	C₂²	semidirect
173. #16811182	C₂²	semidirect
174. C₂×#13133213	C₂²	semidirect
175. #16811154	C₂²	semidirect
176. #16811153	C₂²	semidirect
177. C₂×#13133203	C₂²	semidirect
178. #16811134	C₂²	semidirect
179. #16811133	C₂²	semidirect
180. #16811132	C₂²	semidirect
181. #16811131	C₂²	semidirect
182. #16811130	C₂²	semidirect
183. #16811130	C₂²	semidirect
184. #16811129	C₂²	semidirect
185. #16811129	C₂²	semidirect
186. #16811129	C₂²	semidirect
187. C₂×#13133201	C₂²	semidirect
188. C₂×#13133200	C₂²	semidirect
189. C₂×#13133199	C₂²	semidirect
190. C₂×#13133198	C₂²	semidirect
191. C₂×#13133198	C₂²	semidirect
192. C₂×#13133198	C₂²	semidirect
193. C₂×#13133198	C₂²	semidirect
194. #123×D₅₃	C₂²	semidirect
195. C₂×#13133190	C₂²	semidirect
196. C₂×#13133190	C₂²	semidirect
197. C₂×#13133189	C₂²	semidirect
198. C₂×#13133189	C₂²	semidirect
199. C₂×#13133189	C₂²	semidirect
200. C₂×#13133188	C₂²	semidirect
201. C₂×#13133187	C₂²	semidirect
202. C₂×#13133186	C₂²	semidirect
203. C₂×#13133186	C₂²	semidirect
204. C₂×#13133186	C₂²	semidirect
205. C₂×#13133186	C₂²	semidirect
206. C₂×#13133185	C₂²	semidirect
207. C₂×#13133185	C₂²	semidirect
208. C₂×#13133185	C₂²	semidirect
209. C₂×#13133185	C₂²	semidirect
210. C₂×#13133185	C₂²	semidirect
211. #120×D₅₃	C₂²	semidirect
212. #16811098	C₂²	semidirect
213. #16811098	C₂²	semidirect
214. #16811098	C₂²	semidirect
215. #16811096	C₂²	semidirect
216. #16811096	C₂²	semidirect
217. C₂×#13133173	C₂²	semidirect
218. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
219. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
220. C₂×H(5,𝔽₂)×C₅₃	C₂²	semidirect
221. C₂³×D₄×C₅₃	C₂²	semidirect
222. C₅₃×#546	C₂²	semidirect
223. C₅₃×#546	C₂²	semidirect
224. D₄²×C₅₃	C₂²	semidirect
225. D₄²×C₅₃	C₂²	semidirect
226. C₅₃×#535	C₂²	semidirect
228. C₅₃×#534	C₂²	semidirect
229. C₅₃×#534	C₂²	semidirect
230. C₅₃×#525	C₂²	semidirect
231. C₂×#120×C₅₃	C₂²	semidirect
232. C₂×#120×C₅₃	C₂²	semidirect
233. C₂×#120×C₅₃	C₂²	semidirect
234. C₅₃×#518	C₂²	semidirect
236. C₂⁴×D₅₃	C₂³	semidirect
239. C₂×#11719945	C₂³	semidirect
243. C₂×#11719947	C₂³	semidirect
244. C₂×#11719947	C₂³	semidirect
245. C₂×#11719947	C₂³	semidirect
246. C₂×#11719947	C₂³	semidirect
247. C₂×#11719947	C₂³	semidirect
248. C₂²×Dic₁₀₆	C₂³	semidirect
249. C₂²×D₂₁₂	C₂³	semidirect
250. C₂²×D₂₁₂	C₂³	semidirect
264. C₂²×C₂²⋊D₅₃	C₂³	semidirect
265. C₂²×C₂²⋊D₅₃	C₂³	semidirect
266. C₂²×C₂²⋊D₅₃	C₂³	semidirect
267. C₂²×C₂²⋊D₅₃	C₂³	semidirect
268. C₂²×C₂²⋊D₅₃	C₂³	semidirect
269. C₂²×C₂²⋊D₅₃	C₂³	semidirect
274. C₂×D₄×D₅₃	C₂³	semidirect
275. C₂×D₄×D₅₃	C₂³	semidirect
277. C₂³×Dic₅₃	C₂³	semidirect
278. C₂³×Dic₅₃	C₂³	semidirect
279. C₂²×C₄×D₅₃	C₂³	semidirect
280. C₂²×C₄×D₅₃	C₂³	semidirect
281. C₂²×C₄×D₅₃	C₂³	semidirect
282. #13133216	C₂³	semidirect
283. #13133215	C₂³	semidirect
285. #13133213	C₂³	semidirect
286. #13133213	C₂³	semidirect
287. #13133213	C₂³	semidirect
288. #13133213	C₂³	semidirect
289. #13133213	C₂³	semidirect
290. #13133213	C₂³	semidirect
291. #13133212	C₂³	semidirect
292. #13133212	C₂³	semidirect
293. #13133212	C₂³	semidirect
294. #13133212	C₂³	semidirect
295. #13133211	C₂³	semidirect
296. #13133211	C₂³	semidirect
297. #13133210	C₂³	semidirect
298. #13133210	C₂³	semidirect
299. #13133210	C₂³	semidirect
300. #13133210	C₂³	semidirect
301. #13133210	C₂³	semidirect
302. #13133210	C₂³	semidirect
303. #13133210	C₂³	semidirect
304. #13133210	C₂³	semidirect
305. #13133210	C₂³	semidirect
306. #13133210	C₂³	semidirect
307. #13133209	C₂³	semidirect
308. #13133208	C₂³	semidirect
309. #13133207	C₂³	semidirect
310. #13133207	C₂³	semidirect
311. #13133207	C₂³	semidirect
312. #13133207	C₂³	semidirect
313. #13133206	C₂³	semidirect
314. #13133205	C₂³	semidirect
315. #13133204	C₂³	semidirect
316. #13133204	C₂³	semidirect
317. #13133204	C₂³	semidirect
318. #13133204	C₂³	semidirect
319. #13133204	C₂³	semidirect
321. #13133203	C₂³	semidirect
322. #13133203	C₂³	semidirect
323. #13133203	C₂³	semidirect
324. #13133203	C₂³	semidirect
325. #13133203	C₂³	semidirect
326. #13133203	C₂³	semidirect
327. #13133203	C₂³	semidirect
328. #13133203	C₂³	semidirect
329. #13133203	C₂³	semidirect
330. #13133203	C₂³	semidirect
331. #13133203	C₂³	semidirect
332. #13133202	C₂³	semidirect
333. #13133202	C₂³	semidirect
334. #13133202	C₂³	semidirect
335. #13133202	C₂³	semidirect
337. #13133201	C₂³	semidirect
338. #13133201	C₂³	semidirect
339. #13133201	C₂³	semidirect
340. #13133201	C₂³	semidirect
341. #13133201	C₂³	semidirect
342. #13133201	C₂³	semidirect
346. #13133200	C₂³	semidirect
347. #13133200	C₂³	semidirect
348. #13133200	C₂³	semidirect
349. #13133200	C₂³	semidirect
350. #13133200	C₂³	semidirect
351. #13133200	C₂³	semidirect
352. #13133200	C₂³	semidirect
353. #13133200	C₂³	semidirect
354. #13133200	C₂³	semidirect
357. #13133199	C₂³	semidirect
358. #13133199	C₂³	semidirect
359. #13133199	C₂³	semidirect
360. #13133199	C₂³	semidirect
361. #13133199	C₂³	semidirect
362. #13133199	C₂³	semidirect
363. #13133199	C₂³	semidirect
364. #13133199	C₂³	semidirect
365. #13133199	C₂³	semidirect
366. #13133199	C₂³	semidirect
371. #13133198	C₂³	semidirect
372. #13133198	C₂³	semidirect
373. #13133198	C₂³	semidirect
374. #13133198	C₂³	semidirect
375. #13133198	C₂³	semidirect
376. #13133198	C₂³	semidirect
377. #13133198	C₂³	semidirect
378. #13133198	C₂³	semidirect
379. #13133198	C₂³	semidirect
380. #13133198	C₂³	semidirect
381. #13133198	C₂³	semidirect
382. #13133198	C₂³	semidirect
383. #13133198	C₂³	semidirect
384. #13133198	C₂³	semidirect
385. #13133198	C₂³	semidirect
386. #13133198	C₂³	semidirect
387. #13133198	C₂³	semidirect
388. #13133198	C₂³	semidirect
389. #13133197	C₂³	semidirect
390. #13133196	C₂³	semidirect
391. #13133196	C₂³	semidirect
392. #13133196	C₂³	semidirect
393. #13133196	C₂³	semidirect
394. #13133196	C₂³	semidirect
395. #13133196	C₂³	semidirect
396. #13133195	C₂³	semidirect
397. #13133195	C₂³	semidirect
398. #13133195	C₂³	semidirect
399. #13133195	C₂³	semidirect
400. #13133194	C₂³	semidirect
401. #13133194	C₂³	semidirect
402. #13133194	C₂³	semidirect
403. #13133194	C₂³	semidirect
404. #13133194	C₂³	semidirect
405. #13133194	C₂³	semidirect
406. #13133194	C₂³	semidirect
407. #13133194	C₂³	semidirect
408. #13133194	C₂³	semidirect
409. #13133194	C₂³	semidirect
410. #13133193	C₂³	semidirect
411. #13133193	C₂³	semidirect
412. #13133192	C₂³	semidirect
413. #13133191	C₂³	semidirect
414. #13133191	C₂³	semidirect
415. #13133191	C₂³	semidirect
416. #13133191	C₂³	semidirect
420. #13133190	C₂³	semidirect
421. #13133190	C₂³	semidirect
422. #13133190	C₂³	semidirect
423. #13133190	C₂³	semidirect
424. #13133190	C₂³	semidirect
425. #13133190	C₂³	semidirect
426. #13133190	C₂³	semidirect
427. #13133190	C₂³	semidirect
428. #13133190	C₂³	semidirect
429. #13133190	C₂³	semidirect
430. #13133190	C₂³	semidirect
440. #13133189	C₂³	semidirect
441. #13133189	C₂³	semidirect
442. #13133189	C₂³	semidirect
443. #13133189	C₂³	semidirect
444. #13133189	C₂³	semidirect
445. #13133189	C₂³	semidirect
446. #13133189	C₂³	semidirect
447. #13133189	C₂³	semidirect
448. #13133189	C₂³	semidirect
449. #13133189	C₂³	semidirect
450. #13133189	C₂³	semidirect
451. #13133189	C₂³	semidirect
452. #13133189	C₂³	semidirect
453. #13133189	C₂³	semidirect
454. #13133189	C₂³	semidirect
455. #13133189	C₂³	semidirect
456. #13133189	C₂³	semidirect
457. #13133189	C₂³	semidirect
458. #13133189	C₂³	semidirect
459. #13133189	C₂³	semidirect
460. #13133189	C₂³	semidirect
463. #13133188	C₂³	semidirect
464. #13133188	C₂³	semidirect
465. #13133188	C₂³	semidirect
466. #13133188	C₂³	semidirect
467. #13133188	C₂³	semidirect
468. #13133188	C₂³	semidirect
469. #13133188	C₂³	semidirect
470. #13133188	C₂³	semidirect
471. #13133188	C₂³	semidirect
472. #13133188	C₂³	semidirect
474. #13133187	C₂³	semidirect
475. #13133187	C₂³	semidirect
476. #13133187	C₂³	semidirect
477. #13133187	C₂³	semidirect
485. #13133186	C₂³	semidirect
486. #13133186	C₂³	semidirect
487. #13133186	C₂³	semidirect
488. #13133186	C₂³	semidirect
489. #13133186	C₂³	semidirect
490. #13133186	C₂³	semidirect
491. #13133186	C₂³	semidirect
492. #13133186	C₂³	semidirect
493. #13133186	C₂³	semidirect
494. #13133186	C₂³	semidirect
495. #13133186	C₂³	semidirect
506. #13133185	C₂³	semidirect
507. #13133185	C₂³	semidirect
508. #13133185	C₂³	semidirect
509. #13133185	C₂³	semidirect
510. #13133185	C₂³	semidirect
511. #13133185	C₂³	semidirect
512. #13133185	C₂³	semidirect
513. #13133185	C₂³	semidirect
514. #13133185	C₂³	semidirect
515. #13133185	C₂³	semidirect
516. #13133185	C₂³	semidirect
517. #13133185	C₂³	semidirect
518. C₄×Dic₁₀₆	C₂³	semidirect
519. #13133182	C₂³	semidirect
520. C₄×D₂₁₂	C₂³	semidirect
523. D₄×Dic₅₃	C₂³	semidirect
524. D₄×Dic₅₃	C₂³	semidirect
525. D₄×Dic₅₃	C₂³	semidirect
526. D₄×Dic₅₃	C₂³	semidirect
527. D₄×Dic₅₃	C₂³	semidirect
528. D₄×Dic₅₃	C₂³	semidirect
529. D₄×Dic₅₃	C₂³	semidirect
530. D₄×Dic₅₃	C₂³	semidirect
531. #13133179	C₂³	semidirect
532. C₄×C₂²⋊D₅₃	C₂³	semidirect
533. C₄×C₂²⋊D₅₃	C₂³	semidirect
534. C₄×C₂²⋊D₅₃	C₂³	semidirect
535. C₄×C₂²⋊D₅₃	C₂³	semidirect
536. C₄×C₂²⋊D₅₃	C₂³	semidirect
537. C₄×C₂²⋊D₅₃	C₂³	semidirect
538. C₄×C₂²⋊D₅₃	C₂³	semidirect
539. C₄×C₂²⋊D₅₃	C₂³	semidirect
540. C₄×C₂²⋊D₅₃	C₂³	semidirect
541. C₄×C₂²⋊D₅₃	C₂³	semidirect
543. #13133177	C₂³	semidirect
544. #13133177	C₂³	semidirect
545. #13133177	C₂³	semidirect
546. #13133177	C₂³	semidirect
547. #13133177	C₂³	semidirect
548. #13133177	C₂³	semidirect
549. #13133177	C₂³	semidirect
550. #13133176	C₂³	semidirect
551. #13133176	C₂³	semidirect
552. #13133176	C₂³	semidirect
553. #13133176	C₂³	semidirect
554. #13133175	C₂³	semidirect
555. #13133174	C₂³	semidirect
556. #13133174	C₂³	semidirect
557. #13133173	C₂³	semidirect
558. #13133173	C₂³	semidirect
559. #13133173	C₂³	semidirect
560. #13133173	C₂³	semidirect
561. #13133173	C₂³	semidirect
562. #13133173	C₂³	semidirect
563. #13133173	C₂³	semidirect
564. #13133173	C₂³	semidirect
565. C₂×C₄⋊Dic₅₃	C₂³	semidirect
566. C₂×#11719919	C₂³	semidirect
567. C₂×#11719919	C₂³	semidirect
568. C₂×#11719919	C₂³	semidirect
569. C₂×#11719919	C₂³	semidirect
570. C₂×#11719919	C₂³	semidirect
571. C₄⋊C₄×D₅₃	C₂³	semidirect
578. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
579. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
580. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
581. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
582. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
583. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
584. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
585. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
586. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
587. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
588. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
591. C₂×#11719921	C₂³	semidirect
592. C₂×#11719921	C₂³	semidirect
593. C₂×#11719921	C₂³	semidirect
594. C₂×#11719921	C₂³	semidirect
595. C₂×#11719921	C₂³	semidirect
597. C₂²⋊C₄×D₅₃	C₂³	semidirect
598. C₂²⋊C₄×D₅₃	C₂³	semidirect
599. C₂²⋊C₄×D₅₃	C₂³	semidirect
600. C₂²⋊C₄×D₅₃	C₂³	semidirect
601. C₂²⋊C₄×D₅₃	C₂³	semidirect
602. C₂×C₄×Dic₅₃	C₂³	semidirect
604. C₂⁵×C₅₃	C₂³	semidirect
619. C₂²×D₄×C₅₃	C₂³	semidirect
620. C₂²×D₄×C₅₃	C₂³	semidirect
621. C₂²×D₄×C₅₃	C₂³	semidirect
622. C₂²×D₄×C₅₃	C₂³	semidirect
623. C₂²×D₄×C₅₃	C₂³	semidirect
624. C₂³×C₄×C₅₃	C₂³	semidirect
625. #127×C₅₃	C₂³	semidirect
626. #124×C₅₃	C₂³	semidirect
629. #123×C₅₃	C₂³	semidirect
630. #123×C₅₃	C₂³	semidirect
631. #123×C₅₃	C₂³	semidirect
632. C₂²⋊Q₈×C₅₃	C₂³	semidirect
635. #121×C₅₃	C₂³	semidirect
636. #121×C₅₃	C₂³	semidirect
637. #121×C₅₃	C₂³	semidirect
638. #121×C₅₃	C₂³	semidirect
639. #121×C₅₃	C₂³	semidirect
646. #120×C₅₃	C₂³	semidirect
647. #120×C₅₃	C₂³	semidirect
648. #120×C₅₃	C₂³	semidirect
649. #120×C₅₃	C₂³	semidirect
650. #120×C₅₃	C₂³	semidirect
651. #120×C₅₃	C₂³	semidirect
652. #120×C₅₃	C₂³	semidirect
654. C₄×D₄×C₅₃	C₂³	semidirect
655. C₄×D₄×C₅₃	C₂³	semidirect
656. C₄×D₄×C₅₃	C₂³	semidirect
657. #117×C₅₃	C₂³	semidirect
661. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
662. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
663. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
1195. #3484	D₅₃	semidirect
1215. C₂×H(5,𝔽₂)	C₂×D₅₃	semidirect
1219. C₂³×D₄	C₂×D₅₃	semidirect
1289. #546	C₂×D₅₃	semidirect
1290. #546	C₂×D₅₃	semidirect
1298. D₄²	C₂×D₅₃	semidirect
1299. D₄²	C₂×D₅₃	semidirect
1347. #535	C₂×D₅₃	semidirect
1368. #534	C₂×D₅₃	semidirect
1369. #534	C₂×D₅₃	semidirect
1383. #525	C₂×D₅₃	semidirect
1409. C₂×#120	C₂×D₅₃	semidirect
1410. C₂×#120	C₂×D₅₃	semidirect
1411. C₂×#120	C₂×D₅₃	semidirect
1417. #518	C₂×D₅₃	semidirect
1421. C₅₃	#62862	semidirect
1425. C₂⁵	C₂²×D₅₃	semidirect
1479. C₂²×D₄	C₂²×D₅₃	semidirect
1480. C₂²×D₄	C₂²×D₅₃	semidirect
1481. C₂²×D₄	C₂²×D₅₃	semidirect
1482. C₂²×D₄	C₂²×D₅₃	semidirect
1483. C₂²×D₄	C₂²×D₅₃	semidirect
1490. C₂³×C₄	C₂²×D₅₃	semidirect
1500. #127	C₂²×D₅₃	semidirect
1542. #124	C₂²×D₅₃	semidirect
1602. #123	C₂²×D₅₃	semidirect
1603. #123	C₂²×D₅₃	semidirect
1604. #123	C₂²×D₅₃	semidirect
1628. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1692. #121	C₂²×D₅₃	semidirect
1693. #121	C₂²×D₅₃	semidirect
1694. #121	C₂²×D₅₃	semidirect
1695. #121	C₂²×D₅₃	semidirect
1696. #121	C₂²×D₅₃	semidirect
1748. #120	C₂²×D₅₃	semidirect
1749. #120	C₂²×D₅₃	semidirect
1750. #120	C₂²×D₅₃	semidirect
1751. #120	C₂²×D₅₃	semidirect
1752. #120	C₂²×D₅₃	semidirect
1753. #120	C₂²×D₅₃	semidirect
1754. #120	C₂²×D₅₃	semidirect
1788. C₄×D₄	C₂²×D₅₃	semidirect
1789. C₄×D₄	C₂²×D₅₃	semidirect
1790. C₄×D₄	C₂²×D₅₃	semidirect
1806. #117	C₂²×D₅₃	semidirect
1847. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1848. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1849. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20289062	2
#20289040	2
#20289036	2
#20289026	2
#20289018	2
#20289016	2
#20288897	2
#20288893	2
#20288879	2
#20288874	2
#20288870	2
#20288865	2
#20288412	2
#20288408	2
#20288403	2
#20288402	2
#20288400	2
#20288356	2
#20288355	2
#20288350	2
#20288347	2
#20288346	2
C₂×#16811188	2
C₂×#16811183	2
C₂×#16811182	2
C₅₃×#3484	2
#62862	53