Subgroups — #28292747

Order 13568.

7382 conjugacy classes of subgroups.

The subgroup lattice has 2290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288916	C₂	1	4	yes	maximal, complemented
2	#20288914	C₂	1	4	yes	maximal, complemented
3	#20288897	C₂	1	4	yes	maximal, complemented
4	#20288895	C₂	1	4	yes	maximal, complemented
5	#20288885	C₂	1	4	yes	maximal, complemented
6	#20288874	C₂	1	4	yes	maximal, complemented
7	#20288650	C₂	1	4	yes	maximal, complemented
8	#20288648	C₂	1	4	yes	maximal, complemented
9	#20288647	C₂	1	4	yes	maximal, complemented
10	#20288641	C₂	1	4	yes	maximal, complemented
11	#20288417	C₂	1	4	yes	maximal, complemented
12	#20288412	C₂	1	1	yes	maximal, characteristic, complemented
13	#20288411	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288411	C₂	1	1	yes	maximal, characteristic, complemented
15	#20288408	C₂	1	1	yes	maximal, characteristic, complemented
16	#20288403	C₂	1	1	yes	maximal, characteristic, complemented
17	#20288400	C₂	1	1	yes	maximal, characteristic, complemented
18	#20288397	C₂	1	4	yes	maximal, complemented
19	#20288359	C₂	1	1	yes	maximal, characteristic, complemented
20	#20288356	C₂	1	1	yes	maximal, characteristic, complemented
21	#20288355	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×#16811131	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811130	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#123×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	C₅₃×#3485	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	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
32	#16811374	C₂²	1	4	yes	complemented
33	#16811372	C₂²	1	4	yes	complemented
34	#16811370	C₂²	1	4	yes	complemented
35	#16811369	C₂²	1	4	yes	complemented
36	#16811368	C₂²	1	4	yes	complemented
37	#16811367	C₂²	1	4	yes	complemented
38	#16811362	C₂²	1	4	yes	complemented
39	#16811361	C₂²	1	4	yes	complemented
40	#16811357	C₂²	1	4	yes	complemented
41	#16811356	C₂²	1	4	yes	complemented
42	#16811334	C₂²	1	4	yes	complemented
43	#16811328	C₂²	1	4	yes	complemented
44	#16811327	C₂²	1	4	yes	complemented
45	#16811327	C₂²	1	4	yes	complemented
46	#16811323	C₂²	1	4	yes	complemented
47	#16811322	C₂²	1	4	yes	complemented
48	#16811321	C₂²	1	4	yes	complemented
49	#16811320	C₂²	1	4	yes	complemented
50	#16811318	C₂²	1	4	yes	complemented
51	#16811318	C₂²	1	4	yes	complemented
52	#16811318	C₂²	1	4	yes	complemented
53	#16811316	C₂²	1	4	yes	complemented
54	#16811313	C₂²	1	4	yes	complemented
55	#16811310	C₂²	1	4	yes	complemented
56	#16811310	C₂²	1	4	yes	complemented
57	#16811310	C₂²	1	4	yes	complemented
58	#16811310	C₂²	1	4	yes	complemented
59	#16811308	C₂²	1	4	yes	complemented
60	#16811308	C₂²	1	4	yes	complemented
61	#16811306	C₂²	1	4	yes	complemented
62	#16811304	C₂²	1	4	yes	complemented
63	#16811304	C₂²	1	4	yes	complemented
64	#16811303	C₂²	1	4	yes	complemented
65	#16811302	C₂²	1	4	yes	complemented
66	#16811302	C₂²	1	4	yes	complemented
67	#16811302	C₂²	1	4	yes	complemented
68	#16811301	C₂²	1	4	yes	complemented
69	#16811300	C₂²	1	4	yes	complemented
70	#16811300	C₂²	1	4	yes	complemented
71	#16811299	C₂²	1	4	yes	complemented
72	#16811299	C₂²	1	4	yes	complemented
73	#16811299	C₂²	1	4	yes	complemented
74	#16811299	C₂²	1	4	yes	complemented
75	#16811297	C₂²	1	4	yes	complemented
76	#16811296	C₂²	1	4	yes	complemented
77	#16811296	C₂²	1	4	yes	complemented
78	#16811296	C₂²	1	4	yes	complemented
79	#16811296	C₂²	1	4	yes	complemented
80	#16811273	C₂²	1	4	yes	complemented
81	#16811272	C₂²	1	4	yes	complemented
82	#16811272	C₂²	1	4	yes	complemented
83	#16811272	C₂²	1	4	yes	complemented
84	#16811272	C₂²	1	4	yes	complemented
85	#16811271	C₂²	1	4	yes	complemented
86	#16811270	C₂²	1	4	yes	complemented
87	#16811269	C₂²	1	4	yes	complemented
88	#16811267	C₂²	1	4	yes	complemented
89	#16811267	C₂²	1	4	yes	complemented
90	#16811265	C₂²	1	4	yes	complemented
91	#16811263	C₂²	1	4	yes	complemented
92	#16811263	C₂²	1	4	yes	complemented
93	#16811262	C₂²	1	4	yes	complemented
94	#16811262	C₂²	1	4	yes	complemented
95	#16811262	C₂²	1	4	yes	complemented
96	#16811261	C₂²	1	4	yes	complemented
97	#16811261	C₂²	1	4	yes	complemented
98	#16811261	C₂²	1	4	yes	complemented
99	#16811261	C₂²	1	4	yes	complemented
100	#16811260	C₂²	1	4	yes	complemented
101	#16811260	C₂²	1	4	yes	complemented
102	#16811260	C₂²	1	4	yes	complemented
103	#16811260	C₂²	1	4	yes	complemented
104	#16811257	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	#16811250	C₂²	1	4	yes	complemented
109	#16811249	C₂²	1	1	yes	characteristic, complemented
110	#16811249	C₂²	1	1	yes	characteristic, complemented
111	#16811248	C₂²	1	4	yes	complemented
112	#16811247	C₂²	1	4	yes	complemented
113	#16811243	C₂²	1	4	yes	complemented
114	#16811241	C₂²	1	4	yes	complemented
115	#16811237	C₂²	1	4	yes	complemented
116	#16811226	C₂²	1	4	yes	complemented
117	#16811225	C₂²	1	4	yes	complemented
118	#16811223	C₂²	1	4	yes	complemented
119	#16811223	C₂²	1	4	yes	complemented
120	#16811222	C₂²	1	4	yes	complemented
121	#16811220	C₂²	1	4	yes	complemented
122	#16811219	C₂²	1	4	yes	complemented
123	#16811219	C₂²	1	4	yes	complemented
124	#16811219	C₂²	1	4	yes	complemented
125	#16811218	C₂²	1	4	yes	complemented
126	#16811217	C₂²	1	4	yes	complemented
127	#16811217	C₂²	1	4	yes	complemented
128	#16811216	C₂²	1	4	yes	complemented
129	#16811216	C₂²	1	4	yes	complemented
130	#16811215	C₂²	1	4	yes	complemented
131	#16811215	C₂²	1	4	yes	complemented
132	#16811211	C₂²	1	4	yes	complemented
133	#16811210	C₂²	1	4	yes	complemented
134	#16811209	C₂²	1	4	yes	complemented
135	#16811209	C₂²	1	4	yes	complemented
136	#16811208	C₂²	1	4	yes	complemented
137	#16811207	C₂²	1	4	yes	complemented
138	#16811206	C₂²	1	4	yes	complemented
139	#16811206	C₂²	1	4	yes	complemented
140	#16811205	C₂²	1	4	yes	complemented
141	#16811205	C₂²	1	4	yes	complemented
142	#16811202	C₂²	1	4	yes	complemented
143	#16811197	C₂²	1	2	yes	complemented
144	#16811195	C₂²	1	2	yes	complemented
145	#16811194	C₂²	1	2	yes	complemented
146	#16811188	C₂²	1	2	yes	complemented
147	#16811187	C₂²	1	2	yes	complemented
148	#16811184	C₂²	1	2	yes	complemented
149	#16811183	C₂²	1	4	yes	complemented
150	#16811183	C₂²	1	2	yes	complemented
151	#16811182	C₂²	1	1	yes	characteristic
152	#16811182	C₂²	1	1	yes	characteristic
153	#16811182	C₂²	1	1	yes	characteristic
154	#16811182	C₂²	1	2	yes	complemented
155	#16811182	C₂²	1	1	yes	characteristic, complemented
156	#16811182	C₂²	1	2	yes	complemented
157	#16811182	C₂²	1	2	yes	complemented
158	#16811154	C₂²	1	4	yes	complemented
159	#16811153	C₂²	1	4	yes	complemented
160	#16811150	C₂²	1	4	yes	complemented
161	#16811150	C₂²	1	4	yes	complemented
162	#16811134	C₂²	1	2	yes	complemented
163	#16811133	C₂²	1	4	yes	complemented
164	#16811132	C₂²	1	4	yes	complemented
165	#16811131	C₂²	1	2	yes	complemented
166	#16811131	C₂²	1	4	yes	complemented
167	#16811131	C₂²	1	4	yes	complemented
168	#16811131	C₂²	1	4	yes	complemented
169	#16811131	C₂²	1	4	yes	complemented
170	#16811130	C₂²	1	2	yes	complemented
171	#16811130	C₂²	1	4	yes	complemented
172	#16811130	C₂²	1	4	yes	complemented
173	#16811130	C₂²	1	2	yes	complemented
174	#16811130	C₂²	1	4	yes	complemented
175	#16811130	C₂²	1	4	yes	complemented
176	#16811129	C₂²	1	2	yes	complemented
177	C₂×#13133202	C₂²	1	2	yes	complemented
178	C₂×#13133201	C₂²	1	1	yes	characteristic, complemented
179	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
180	C₂×#13133200	C₂²	1	1	yes	characteristic, complemented
181	C₂×#13133200	C₂²	1	2	yes	complemented
182	C₂×#13133199	C₂²	1	2	yes	complemented
183	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
184	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
185	C₂×#13133198	C₂²	1	1	yes	characteristic, complemented
186	C₂×#13133198	C₂²	1	2	yes	complemented
187	#123×D₅₃	C₂²	1	4	yes	complemented
188	#123×D₅₃	C₂²	1	4	yes	complemented
189	#123×D₅₃	C₂²	1	4	yes	complemented
190	#123×D₅₃	C₂²	1	4	yes	complemented
191	#123×D₅₃	C₂²	1	2	yes	complemented
192	C₂×#13133195	C₂²	1	2	yes	complemented
193	C₂×#13133193	C₂²	1	2	yes	complemented
194	C₂×#13133190	C₂²	1	2	yes	complemented
195	C₂×#13133188	C₂²	1	2	yes	complemented
196	C₂×#13133187	C₂²	1	1	yes	characteristic, complemented
197	C₂×#13133185	C₂²	1	2	yes	complemented
198	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
199	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
200	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
201	#120×D₅₃	C₂²	1	2	yes	complemented
202	#16811104	C₂²	1	4	yes	complemented
203	#16811102	C₂²	1	4	yes	complemented
204	#16811098	C₂²	1	1	yes	characteristic, complemented
205	#16811098	C₂²	1	1	yes	characteristic, complemented
206	#16811098	C₂²	1	1	yes	characteristic, complemented
207	#16811096	C₂²	1	1	yes	characteristic, complemented
208	#16811096	C₂²	1	1	yes	characteristic, complemented
209	#16811096	C₂²	1	4	yes	complemented
210	#16811095	C₂²	1	4	yes	complemented
211	C₂×#13133179	C₂²	1	2	yes	complemented
212	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
213	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
214	C₂×#13133177	C₂²	1	2	yes	complemented
215	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
216	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
218	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	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	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
222	C₅₃×#547	C₂²	1	4	yes	complemented
223	C₅₃×#547	C₂²	1	4	yes	complemented
224	C₅₃×#546	C₂²	1	4	yes	complemented
225	C₅₃×#546	C₂²	1	4	yes	complemented
226	C₅₃×#536	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×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
232	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic, complemented
233	C₂×#123×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
237	#13133262	—	4	4	no	—
238	C₂×#11719945	C₂³	1	2	yes	—
239	C₂×#11719945	C₂³	1	4	yes	—
240	C₂×#11719947	—	4	4	no	—
241	C₂×#11719947	C₂³	1	4	yes	—
242	C₂×#11719947	C₂³	1	2	yes	—
243	C₂×#11719947	C₂³	1	2	yes	—
244	C₂×#11719947	C₂³	1	4	yes	—
245	C₂×#11719947	C₂³	1	4	yes	complemented
246	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
247	C₂²×D₂₁₂	C₂³	1	2	yes	—
248	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
252	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
253	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
254	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
255	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
256	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
257	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic, complemented
258	C₂×D₄×D₅₃	—	4	4	no	—
259	C₂×D₄×D₅₃	C₂³	1	4	yes	—
260	C₂×D₄×D₅₃	C₂³	1	4	yes	—
261	C₂×D₄×D₅₃	C₂³	1	2	yes	—
262	C₂×D₄×D₅₃	C₂³	1	4	yes	—
263	C₂×D₄×D₅₃	C₂³	1	2	yes	—
264	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
265	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
266	C₂²×C₄×D₅₃	—	4	4	no	—
267	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
268	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
269	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
270	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
271	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
272	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
273	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
274	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
275	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
276	#13133216	C₂³	1	4	yes	complemented
277	#13133215	C₂³	1	4	yes	complemented
278	#13133215	C₂³	1	4	yes	complemented
279	#13133213	C₂³	1	4	yes	—
280	#13133213	C₂³	1	4	yes	—
281	#13133212	C₂³	1	4	yes	complemented
282	#13133212	C₂³	1	4	yes	complemented
283	#13133212	C₂³	1	4	yes	complemented
284	#13133212	C₂³	1	4	yes	complemented
285	#13133212	C₂³	1	4	yes	complemented
286	#13133212	C₂³	1	4	yes	complemented
287	#13133212	C₂³	1	4	yes	complemented
288	#13133212	C₂³	1	4	yes	complemented
289	#13133211	C₂³	1	4	yes	complemented
290	#13133211	C₂³	1	4	yes	complemented
291	#13133210	C₂³	1	4	yes	complemented
292	#13133210	C₂³	1	4	yes	complemented
293	#13133210	C₂³	1	4	yes	complemented
294	#13133210	C₂³	1	4	yes	complemented
295	#13133210	C₂³	1	4	yes	complemented
296	#13133210	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	#13133209	C₂³	1	4	yes	complemented
302	#13133208	C₂³	1	4	yes	complemented
303	#13133208	C₂³	1	4	yes	complemented
304	#13133208	C₂³	1	4	yes	complemented
305	#13133207	C₂³	1	4	yes	complemented
306	#13133207	C₂³	1	4	yes	complemented
307	#13133207	C₂³	1	4	yes	complemented
308	#13133207	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	—
314	#13133206	C₂³	1	4	yes	complemented
315	#13133205	C₂³	1	4	yes	complemented
316	#13133204	C₂³	1	4	yes	complemented
317	#13133204	C₂³	1	4	yes	complemented
318	#13133203	C₂³	1	4	yes	—
319	#13133203	C₂³	1	4	yes	complemented
320	#13133203	C₂³	1	4	yes	complemented
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	#13133202	C₂³	1	4	yes	—
327	#13133202	C₂³	1	4	yes	—
328	#13133202	C₂³	1	4	yes	—
329	#13133202	C₂³	1	4	yes	—
330	#13133202	C₂³	1	4	yes	—
331	#13133202	C₂³	1	4	yes	—
332	#13133202	C₂³	1	4	yes	complemented
333	#13133202	C₂³	1	4	yes	complemented
334	#13133201	C₂³	1	4	yes	—
335	#13133201	C₂³	1	2	yes	—
336	#13133201	C₂³	1	2	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	#13133200	C₂³	1	2	yes	—
342	#13133200	C₂³	1	4	yes	—
343	#13133200	C₂³	1	4	yes	—
344	#13133200	C₂³	1	2	yes	—
345	#13133200	C₂³	1	2	yes	—
346	#13133200	C₂³	1	4	yes	—
347	#13133200	C₂³	1	2	yes	—
348	#13133200	C₂³	1	2	yes	—
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	#13133200	C₂³	1	2	yes	complemented
356	#13133200	C₂³	1	2	yes	complemented
357	#13133199	C₂³	1	4	yes	—
358	#13133199	C₂³	1	4	yes	—
359	#13133199	C₂³	1	4	yes	—
360	#13133199	C₂³	1	4	yes	—
361	#13133199	C₂³	1	4	yes	—
362	#13133199	C₂³	1	4	yes	—
363	#13133199	C₂³	1	4	yes	—
364	#13133199	C₂³	1	4	yes	complemented
365	#13133199	C₂³	1	4	yes	complemented
366	#13133199	C₂³	1	4	yes	complemented
367	#13133199	C₂³	1	4	yes	complemented
368	#13133199	C₂³	1	4	yes	complemented
369	#13133198	C₂³	1	4	yes	—
370	#13133198	C₂³	1	4	yes	—
371	#13133198	C₂³	1	2	yes	—
372	#13133198	C₂³	1	2	yes	—
373	#13133198	C₂³	1	4	yes	—
374	#13133198	C₂³	1	2	yes	—
375	#13133198	C₂³	1	2	yes	—
376	#13133198	C₂³	1	2	yes	—
377	#13133198	C₂³	1	4	yes	complemented
378	#13133198	C₂³	1	4	yes	complemented
379	#13133198	C₂³	1	2	yes	complemented
380	#13133198	C₂³	1	4	yes	complemented
381	#13133198	C₂³	1	4	yes	complemented
382	#13133198	C₂³	1	4	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	#13133197	C₂³	1	4	yes	—
388	#13133197	C₂³	1	4	yes	complemented
389	#13133197	C₂³	1	4	yes	complemented
390	#13133196	C₂³	1	4	yes	—
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	—
397	#13133195	C₂³	1	4	yes	—
398	#13133195	C₂³	1	4	yes	—
399	#13133195	C₂³	1	4	yes	—
400	#13133195	C₂³	1	4	yes	complemented
401	#13133195	C₂³	1	4	yes	complemented
402	#13133195	C₂³	1	4	yes	complemented
403	#13133195	C₂³	1	4	yes	complemented
404	#13133194	C₂³	1	4	yes	—
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	#13133194	C₂³	1	4	yes	complemented
411	#13133194	C₂³	1	4	yes	complemented
412	#13133194	C₂³	1	4	yes	complemented
413	#13133194	C₂³	1	4	yes	complemented
414	#13133193	C₂³	1	4	yes	—
415	#13133193	C₂³	1	4	yes	—
416	#13133193	C₂³	1	4	yes	—
417	#13133193	C₂³	1	4	yes	complemented
418	#13133193	C₂³	1	4	yes	complemented
419	#13133193	C₂³	1	4	yes	complemented
420	#13133193	C₂³	1	4	yes	complemented
421	#13133193	C₂³	1	4	yes	complemented
422	#13133192	C₂³	1	4	yes	—
423	#13133191	C₂³	1	4	yes	—
424	#13133191	C₂³	1	4	yes	—
425	#13133191	C₂³	1	4	yes	complemented
426	#13133191	C₂³	1	4	yes	complemented
427	#13133190	C₂³	1	4	yes	—
428	#13133190	C₂³	1	4	yes	—
429	#13133190	C₂³	1	4	yes	—
430	#13133190	C₂³	1	4	yes	—
431	#13133190	C₂³	1	4	yes	—
432	#13133190	C₂³	1	4	yes	—
433	#13133190	C₂³	1	4	yes	complemented
434	#13133190	C₂³	1	4	yes	complemented
435	#13133190	C₂³	1	4	yes	complemented
436	#13133190	C₂³	1	4	yes	complemented
437	#13133189	C₂³	1	4	yes	—
438	#13133189	C₂³	1	4	yes	—
439	#13133189	C₂³	1	4	yes	—
440	#13133189	C₂³	1	4	yes	—
441	#13133189	C₂³	1	4	yes	—
442	#13133189	C₂³	1	4	yes	—
443	#13133189	C₂³	1	4	yes	—
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	#13133188	C₂³	1	4	yes	—
452	#13133188	C₂³	1	4	yes	—
453	#13133188	C₂³	1	4	yes	—
454	#13133188	C₂³	1	4	yes	—
455	#13133188	C₂³	1	4	yes	complemented
456	#13133188	C₂³	1	4	yes	complemented
457	#13133188	C₂³	1	4	yes	complemented
458	#13133188	C₂³	1	4	yes	complemented
459	#13133187	C₂³	1	4	yes	—
460	#13133187	C₂³	1	4	yes	—
461	#13133187	C₂³	1	4	yes	—
462	#13133187	C₂³	1	2	yes	—
463	#13133187	C₂³	1	2	yes	—
464	#13133186	C₂³	1	2	yes	—
465	#13133186	C₂³	1	2	yes	—
466	#13133186	C₂³	1	2	yes	—
467	#13133186	C₂³	1	4	yes	—
468	#13133186	C₂³	1	4	yes	complemented
469	#13133186	C₂³	1	2	yes	complemented
470	#13133185	C₂³	1	4	yes	—
471	#13133185	C₂³	1	4	yes	—
472	#13133185	C₂³	1	2	yes	—
473	#13133185	C₂³	1	2	yes	—
474	#13133185	C₂³	1	4	yes	—
475	#13133185	C₂³	1	4	yes	—
476	#13133185	C₂³	1	2	yes	—
477	#13133185	C₂³	1	4	yes	—
478	#13133185	C₂³	1	4	yes	—
479	#13133185	C₂³	1	2	yes	—
480	#13133185	C₂³	1	2	yes	—
481	#13133185	C₂³	1	2	yes	—
482	#13133185	C₂³	1	2	yes	—
483	#13133185	C₂³	1	2	yes	—
484	#13133185	C₂³	1	2	yes	—
485	#13133185	C₂³	1	2	yes	complemented
486	#13133185	C₂³	1	4	yes	complemented
487	#13133185	C₂³	1	4	yes	complemented
488	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
489	#13133182	C₂³	1	4	yes	complemented
490	#13133182	C₂³	1	4	yes	complemented
491	#13133182	C₂³	1	4	yes	complemented
492	C₄×D₂₁₂	C₂³	1	4	yes	—
493	D₄×Dic₅₃	C₂³	1	4	yes	—
494	D₄×Dic₅₃	C₂³	1	4	yes	—
495	D₄×Dic₅₃	C₂³	1	4	yes	—
496	D₄×Dic₅₃	C₂³	1	4	yes	—
497	D₄×Dic₅₃	C₂³	1	4	yes	complemented
498	D₄×Dic₅₃	C₂³	1	4	yes	complemented
499	D₄×Dic₅₃	C₂³	1	4	yes	complemented
500	D₄×Dic₅₃	C₂³	1	4	yes	complemented
501	#13133179	C₂³	1	4	yes	—
502	#13133179	C₂³	1	4	yes	—
503	#13133179	C₂³	1	4	yes	—
504	#13133179	C₂³	1	4	yes	complemented
505	#13133179	C₂³	1	4	yes	complemented
506	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
507	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
508	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
509	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
510	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
511	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
512	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
513	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
514	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
515	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
516	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
517	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
518	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
519	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
520	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
521	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
522	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
523	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
524	#13133177	C₂³	1	4	yes	—
525	#13133177	C₂³	1	4	yes	—
526	#13133177	C₂³	1	4	yes	—
527	#13133177	C₂³	1	4	yes	—
528	#13133177	C₂³	1	4	yes	—
529	#13133177	C₂³	1	4	yes	—
530	#13133177	C₂³	1	4	yes	complemented
531	#13133177	C₂³	1	4	yes	complemented
532	#13133177	C₂³	1	4	yes	complemented
533	#13133177	C₂³	1	4	yes	complemented
534	#13133177	C₂³	1	4	yes	complemented
535	#13133177	C₂³	1	4	yes	complemented
536	#13133176	C₂³	1	4	yes	—
537	#13133176	C₂³	1	2	yes	—
538	#13133176	C₂³	1	2	yes	complemented
539	#13133176	C₂³	1	2	yes	complemented
540	#13133176	C₂³	1	4	yes	complemented
541	#13133176	C₂³	1	4	yes	complemented
542	#13133175	C₂³	1	4	yes	—
543	#13133175	C₂³	1	4	yes	complemented
544	#13133175	C₂³	1	4	yes	complemented
545	#13133174	C₂³	1	4	yes	—
546	#13133174	C₂³	1	4	yes	complemented
547	#13133173	C₂³	1	4	yes	—
548	#13133173	C₂³	1	2	yes	—
549	#13133173	C₂³	1	4	yes	complemented
550	#13133173	C₂³	1	4	yes	complemented
551	#13133173	C₂³	1	4	yes	complemented
552	#13133173	C₂³	1	4	yes	complemented
553	#13133173	C₂³	1	4	yes	complemented
554	#13133173	C₂³	1	2	yes	complemented
555	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	—
556	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
557	C₂×#11719919	C₂³	1	2	yes	—
558	C₂×#11719919	C₂³	1	2	yes	—
559	C₂×#11719919	C₂³	1	2	yes	complemented
560	C₂×#11719919	C₂³	1	2	yes	complemented
561	C₂×#11719919	C₂³	1	2	yes	complemented
562	C₂×#11719919	C₂³	1	4	yes	complemented
563	C₂×#11719919	C₂³	1	4	yes	complemented
564	C₂×#11719919	C₂³	1	2	yes	complemented
565	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
566	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
567	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
568	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
569	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
570	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
571	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
572	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
573	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
574	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
575	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
576	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
577	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
578	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
579	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
580	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
581	C₂×#11719921	C₂³	1	2	yes	—
582	C₂×#11719921	C₂³	1	2	yes	—
583	C₂×#11719921	C₂³	1	2	yes	—
584	C₂×#11719921	C₂³	1	2	yes	—
585	C₂×#11719921	C₂³	1	4	yes	—
586	C₂×#11719921	C₂³	1	2	yes	—
587	C₂×#11719921	C₂³	1	2	yes	—
588	C₂×#11719921	C₂³	1	2	yes	—
589	C₂×#11719921	C₂³	1	2	yes	complemented
590	C₂×#11719921	C₂³	1	4	yes	complemented
591	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
592	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
593	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
594	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
595	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
596	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
597	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
598	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
599	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
600	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
601	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
602	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
603	H(5,𝔽₂)×C₅₃	—	4	4	no	—
604	C₂×#41×C₅₃	—	4	4	no	—
605	C₂×#41×C₅₃	C₂³	1	2	yes	—
606	C₂×#41×C₅₃	C₂³	1	2	yes	—
607	C₂×#41×C₅₃	C₂³	1	4	yes	—
608	C₂×#41×C₅₃	C₂³	1	2	yes	—
609	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
610	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
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	1	yes	characteristic
615	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
616	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
617	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
618	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
619	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
620	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
621	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
622	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
623	#124×C₅₃	C₂³	1	4	yes	complemented
624	#123×C₅₃	C₂³	1	2	yes	—
625	#123×C₅₃	C₂³	1	4	yes	—
626	#123×C₅₃	C₂³	1	4	yes	—
627	#123×C₅₃	C₂³	1	2	yes	—
628	#123×C₅₃	C₂³	1	2	yes	—
629	#123×C₅₃	C₂³	1	2	yes	—
630	#123×C₅₃	C₂³	1	2	yes	complemented
631	#123×C₅₃	C₂³	1	2	yes	complemented
632	#123×C₅₃	C₂³	1	4	yes	complemented
633	#123×C₅₃	C₂³	1	2	yes	complemented
634	#123×C₅₃	C₂³	1	2	yes	complemented
635	#123×C₅₃	C₂³	1	4	yes	complemented
636	#123×C₅₃	C₂³	1	4	yes	complemented
637	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
638	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
639	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
640	#121×C₅₃	C₂³	1	4	yes	—
641	#121×C₅₃	C₂³	1	4	yes	—
642	#121×C₅₃	C₂³	1	4	yes	complemented
643	#121×C₅₃	C₂³	1	4	yes	complemented
644	#121×C₅₃	C₂³	1	4	yes	complemented
645	#120×C₅₃	C₂³	1	2	yes	—
646	#120×C₅₃	C₂³	1	2	yes	—
647	#120×C₅₃	C₂³	1	2	yes	complemented
648	#120×C₅₃	C₂³	1	4	yes	complemented
649	#120×C₅₃	C₂³	1	2	yes	complemented
650	C₄×D₄×C₅₃	C₂³	1	4	yes	—
651	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
652	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
653	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
654	#117×C₅₃	C₂³	1	2	yes	complemented
655	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
656	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
657	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	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	C₂⁴	1	1	yes	characteristic
665	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
666	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
667	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
668	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
669	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
670	C₂³×D₅₃	—	2	4	no	—
671	C₂³×D₅₃	—	4	4	no	—
672	C₂³×D₅₃	—	4	4	no	—
673	C₂³×D₅₃	—	4	2	no	—
674	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
675	C₂³×D₅₃	C₂⁴	1	2	yes	—
676	C₂³×D₅₃	C₂⁴	1	2	yes	—
677	C₂³×D₅₃	C₂⁴	1	4	yes	—
678	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
679	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
680	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
681	C₂³×D₅₃	C₂⁴	1	2	yes	—
682	#41×C₅₃	—	4	8	no	—
683	#41×C₅₃	—	4	8	no	—
684	#41×C₅₃	—	4	4	no	—
685	#41×C₅₃	—	4	4	no	—
686	#41×C₅₃	—	4	4	no	—
687	C₂×Q₈×C₅₃	—	4	2	no	—
688	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
689	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
690	C₂×D₄×C₅₃	—	2	4	no	—
691	C₂×D₄×C₅₃	—	2	4	no	—
692	C₂×D₄×C₅₃	—	2	4	no	—
693	C₂×D₄×C₅₃	—	2	4	no	—
694	C₂×D₄×C₅₃	—	4	2	no	—
695	C₂×D₄×C₅₃	—	4	4	no	—
696	C₂×D₄×C₅₃	—	4	4	no	—
697	C₂×D₄×C₅₃	—	4	4	no	—
698	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
699	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
700	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
701	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
702	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
703	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
704	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
705	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
706	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
707	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
708	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
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	C₂²×C₄×C₅₃	—	2	4	no	—
713	C₂²×C₄×C₅₃	—	4	2	no	—
714	C₂²×C₄×C₅₃	—	4	2	no	—
715	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
716	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
717	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
718	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
719	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
720	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
721	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
722	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
723	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
724	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
725	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
726	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
727	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
728	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
729	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
730	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
731	C₂×C₂²⋊D₅₃	—	2	4	no	—
732	C₂×C₂²⋊D₅₃	—	2	4	no	—
733	C₂×C₂²⋊D₅₃	—	4	2	no	—
734	C₂×C₂²⋊D₅₃	—	4	2	no	—
735	C₂×C₂²⋊D₅₃	—	4	4	no	—
736	C₂×C₂²⋊D₅₃	—	4	8	no	—
737	C₂×C₂²⋊D₅₃	—	4	4	no	—
738	C₂×C₂²⋊D₅₃	—	4	4	no	—
739	C₂×C₂²⋊D₅₃	—	4	4	no	—
740	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
741	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
742	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
743	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
744	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
745	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
746	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
747	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
748	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
749	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
750	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
751	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
752	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
753	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
754	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
755	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
756	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
757	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
758	C₂²×Dic₅₃	—	2	4	no	—
759	C₂²×Dic₅₃	—	4	2	no	—
760	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
761	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
762	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
763	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
764	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
765	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
766	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
767	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
768	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
769	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
770	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
771	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
772	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
773	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
774	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
775	#11719947	—	4	8	no	—
776	#11719947	—	4	8	no	—
777	#11719947	—	4	8	no	—
778	#11719947	—	4	4	no	—
779	#11719947	—	4	4	no	—
780	D₄×D₅₃	—	4	8	no	—
781	D₄×D₅₃	—	4	8	no	—
782	D₄×D₅₃	—	4	8	no	—
783	D₄×D₅₃	—	4	4	no	—
784	D₄×D₅₃	—	4	4	no	—
785	#11719945	—	4	8	no	—
786	#11719945	—	4	4	no	—
787	C₂×D₂₁₂	—	4	4	no	—
788	C₂×D₂₁₂	—	4	2	no	—
789	C₂×D₂₁₂	C₂⁴	1	4	yes	—
790	C₂×D₂₁₂	C₂⁴	1	4	yes	—
791	C₂×D₂₁₂	C₂⁴	1	2	yes	—
792	C₂×D₂₁₂	C₂⁴	1	4	yes	—
793	C₂×C₄×D₅₃	—	4	4	no	—
794	C₂×C₄×D₅₃	—	4	4	no	—
795	C₂×C₄×D₅₃	—	4	4	no	—
796	C₂×C₄×D₅₃	—	4	4	no	—
797	C₂×C₄×D₅₃	—	4	4	no	—
798	C₂×C₄×D₅₃	—	4	4	no	—
799	C₂×C₄×D₅₃	—	4	4	no	—
800	C₂×C₄×D₅₃	—	4	2	no	—
801	C₂×C₄×D₅₃	—	4	2	no	—
802	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
803	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
804	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
805	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
806	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
807	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
808	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
809	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
810	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
811	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
812	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
813	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
814	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
815	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
816	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
817	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
818	C₂×Dic₁₀₆	—	4	2	no	—
819	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
820	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
821	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
822	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
823	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
824	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
825	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
826	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
827	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
828	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
829	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
830	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
831	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
832	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
833	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
834	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
835	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
836	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
837	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
838	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
839	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
840	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
841	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
842	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
843	C₄²×C₅₃	C₂⁴	1	4	yes	—
844	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
845	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
846	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
847	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
848	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
849	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
850	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
851	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
852	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
853	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
854	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
855	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
856	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
857	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
858	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
859	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
860	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
861	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
862	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
863	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
864	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
865	#11719921	C₂⁴	1	4	yes	—
866	#11719921	C₂⁴	1	4	yes	—
867	#11719921	C₂⁴	1	4	yes	—
868	#11719921	C₂⁴	1	4	yes	—
869	#11719921	C₂⁴	1	4	yes	—
870	#11719921	C₂⁴	1	4	yes	—
871	#11719921	C₂⁴	1	4	yes	—
872	#11719921	C₂⁴	1	4	yes	—
873	#11719921	C₂⁴	1	4	yes	—
874	#11719921	C₂⁴	1	4	yes	—
875	#11719921	C₂⁴	1	4	yes	—
876	#11719921	C₂⁴	1	4	yes	—
877	#11719921	C₂⁴	1	4	yes	—
878	#11719921	C₂⁴	1	4	yes	—
879	#11719921	C₂⁴	1	4	yes	—
880	#11719921	C₂⁴	1	4	yes	—
881	#11719921	C₂⁴	1	4	yes	—
882	#11719921	C₂⁴	1	4	yes	—
883	#11719921	C₂⁴	1	4	yes	—
884	#11719921	C₂⁴	1	4	yes	—
885	#11719921	C₂⁴	1	4	yes	—
886	#11719921	C₂⁴	1	4	yes	—
887	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
888	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
889	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
890	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
891	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
892	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
893	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
894	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
895	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
896	#11719919	C₂⁴	1	4	yes	—
897	#11719919	C₂⁴	1	4	yes	—
898	#11719919	C₂⁴	1	4	yes	—
899	#11719919	C₂⁴	1	4	yes	—
900	#11719919	C₂⁴	1	4	yes	—
901	#11719919	C₂⁴	1	4	yes	—
902	#11719919	C₂⁴	1	4	yes	—
903	#11719919	C₂⁴	1	4	yes	—
904	#11719919	C₂⁴	1	4	yes	—
905	#11719919	C₂⁴	1	4	yes	—
906	#11719919	C₂⁴	1	4	yes	—
907	#11719919	C₂⁴	1	4	yes	—
908	#11719919	C₂⁴	1	4	yes	—
909	#11719919	C₂⁴	1	4	yes	—
910	#11719919	C₂⁴	1	4	yes	—
911	#11719919	C₂⁴	1	4	yes	—
912	#11719919	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	C₄×Dic₅₃	C₂⁴	1	4	yes	—
919	C₄×Dic₅₃	C₂⁴	1	4	yes	—
920	C₄×Dic₅₃	C₂⁴	1	4	yes	—
921	C₄×Dic₅₃	C₂⁴	1	4	yes	—
922	C₄×Dic₅₃	C₂⁴	1	4	yes	—
923	C₄×Dic₅₃	C₂⁴	1	4	yes	—
924	C₄×Dic₅₃	C₂⁴	1	4	yes	—
925	C₄×Dic₅₃	C₂⁴	1	4	yes	—
926	C₄×Dic₅₃	C₂⁴	1	4	yes	—
927	C₂³×C₅₃	—	2	2	no	—
928	C₂³×C₅₃	—	2	2	no	—
929	C₂³×C₅₃	—	2	2	no	—
930	C₂³×C₅₃	—	2	2	no	—
931	C₂³×C₅₃	—	4	2	no	—
932	C₂³×C₅₃	—	4	2	no	—
933	C₂³×C₅₃	—	4	2	no	—
934	C₂³×C₅₃	—	4	2	no	—
935	C₂³×C₅₃	—	4	2	no	—
936	C₂³×C₅₃	—	4	4	no	—
937	C₂³×C₅₃	—	4	2	no	—
938	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
939	C₂³×C₅₃	C₂⁵	1	2	yes	—
940	C₂³×C₅₃	C₂⁵	1	2	yes	—
941	C₂³×C₅₃	C₂⁵	1	2	yes	—
942	C₂³×C₅₃	C₂⁵	1	2	yes	—
943	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
944	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
945	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
946	C₂²×D₅₃	—	2	2	no	—
947	C₂²×D₅₃	—	2	4	no	—
948	C₂²×D₅₃	—	2	2	no	—
949	C₂²×D₅₃	—	2	4	no	—
950	C₂²×D₅₃	—	2	4	no	—
951	C₂²×D₅₃	—	2	2	no	—
952	C₂²×D₅₃	—	2	2	no	—
953	C₂²×D₅₃	—	2	4	no	—
954	C₂²×D₅₃	—	2	4	no	—
955	C₂²×D₅₃	—	2	8	no	—
956	C₂²×D₅₃	—	4	2	no	—
957	C₂²×D₅₃	—	4	2	no	—
958	C₂²×D₅₃	—	4	2	no	—
959	C₂²×D₅₃	—	4	2	no	—
960	C₂²×D₅₃	—	4	4	no	—
961	C₂²×D₅₃	—	4	4	no	—
962	C₂²×D₅₃	—	4	2	no	—
963	C₂²×D₅₃	—	4	2	no	—
964	C₂²×D₅₃	—	4	4	no	—
965	C₂²×D₅₃	—	4	16	no	—
966	C₂²×D₅₃	—	8	8	no	—
967	C₂²×D₅₃	C₂⁵	1	2	yes	—
968	C₂²×D₅₃	C₂⁵	1	2	yes	—
969	C₂²×D₅₃	C₂⁵	1	2	yes	—
970	C₂²×D₅₃	C₂⁵	1	2	yes	—
971	Q₈×C₅₃	—	4	4	no	—
972	Q₈×C₅₃	—	4	2	no	—
973	D₄×C₅₃	—	2	4	no	—
974	D₄×C₅₃	—	2	4	no	—
975	D₄×C₅₃	—	2	4	no	—
976	D₄×C₅₃	—	2	4	no	—
977	D₄×C₅₃	—	2	4	no	—
978	D₄×C₅₃	—	2	4	no	—
979	D₄×C₅₃	—	2	4	no	—
980	D₄×C₅₃	—	2	4	no	—
981	D₄×C₅₃	—	4	4	no	—
982	D₄×C₅₃	—	4	4	no	—
983	D₄×C₅₃	—	4	2	no	—
984	D₄×C₅₃	—	4	2	no	—
985	D₄×C₅₃	—	4	2	no	—
986	D₄×C₅₃	—	4	4	no	—
987	C₂×C₄×C₅₃	—	2	2	no	—
988	C₂×C₄×C₅₃	—	2	2	no	—
989	C₂×C₄×C₅₃	—	2	2	no	—
990	C₂×C₄×C₅₃	—	2	4	no	—
991	C₂×C₄×C₅₃	—	2	4	no	—
992	C₂×C₄×C₅₃	—	2	2	no	—
993	C₂×C₄×C₅₃	—	2	2	no	—
994	C₂×C₄×C₅₃	—	2	2	no	—
995	C₂×C₄×C₅₃	—	4	2	no	—
996	C₂×C₄×C₅₃	—	4	2	no	—
997	C₂×C₄×C₅₃	—	4	4	no	—
998	C₂×C₄×C₅₃	—	4	4	no	—
999	C₂×C₄×C₅₃	—	4	4	no	—
1000	C₂×C₄×C₅₃	—	4	2	no	—
1001	C₂×C₄×C₅₃	—	4	2	no	—
1002	C₂×C₄×C₅₃	—	4	2	no	—
1003	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1004	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1005	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1006	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1007	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1008	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1009	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1010	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1011	C₂²⋊D₅₃	—	2	4	no	—
1012	C₂²⋊D₅₃	—	2	4	no	—
1013	C₂²⋊D₅₃	—	2	4	no	—
1014	C₂²⋊D₅₃	—	2	4	no	—
1015	C₂²⋊D₅₃	—	2	8	no	—
1016	C₂²⋊D₅₃	—	2	8	no	—
1017	C₂²⋊D₅₃	—	2	8	no	—
1018	C₂²⋊D₅₃	—	4	4	no	—
1019	C₂²⋊D₅₃	—	4	4	no	—
1020	C₂²⋊D₅₃	—	4	2	no	—
1021	C₂²⋊D₅₃	—	4	2	no	—
1022	C₂²⋊D₅₃	—	4	4	no	—
1023	C₂²⋊D₅₃	—	4	4	no	—
1024	C₂²⋊D₅₃	—	4	4	no	—
1025	C₂²⋊D₅₃	—	4	4	no	—
1026	C₂²⋊D₅₃	—	4	4	no	—
1027	C₂²⋊D₅₃	—	4	4	no	—
1028	C₂²⋊D₅₃	—	4	4	no	—
1029	C₂×Dic₅₃	—	2	2	no	—
1030	C₂×Dic₅₃	—	2	2	no	—
1031	C₂×Dic₅₃	—	2	2	no	—
1032	C₂×Dic₅₃	—	2	4	no	—
1033	C₂×Dic₅₃	—	2	4	no	—
1034	C₂×Dic₅₃	—	2	2	no	—
1035	C₂×Dic₅₃	—	4	2	no	—
1036	C₂×Dic₅₃	—	4	4	no	—
1037	C₂×Dic₅₃	—	4	2	no	—
1038	C₂×Dic₅₃	—	4	4	no	—
1039	C₂×Dic₅₃	—	4	4	no	—
1040	C₂×Dic₅₃	—	4	2	no	—
1041	C₂×Dic₅₃	—	4	2	no	—
1042	C₂×Dic₅₃	—	4	4	no	—
1043	C₂×Dic₅₃	—	4	2	no	—
1044	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1045	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1046	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1047	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1048	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1049	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1050	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1051	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1052	D₂₁₂	—	2	8	no	—
1053	D₂₁₂	—	4	4	no	—
1054	D₂₁₂	—	4	4	no	—
1055	D₂₁₂	—	4	2	no	—
1056	C₄×D₅₃	—	2	8	no	—
1057	C₄×D₅₃	—	4	2	no	—
1058	C₄×D₅₃	—	4	2	no	—
1059	C₄×D₅₃	—	4	2	no	—
1060	C₄×D₅₃	—	4	2	no	—
1061	C₄×D₅₃	—	4	2	no	—
1062	C₄×D₅₃	—	4	2	no	—
1063	C₄×D₅₃	—	4	2	no	—
1064	C₄×D₅₃	—	4	2	no	—
1065	C₄×D₅₃	—	4	4	no	—
1066	C₄×D₅₃	—	4	4	no	—
1067	C₄×D₅₃	—	4	4	no	—
1068	C₄×D₅₃	—	4	4	no	—
1069	C₄×D₅₃	—	4	2	no	—
1070	C₄×D₅₃	—	4	2	no	—
1071	C₄×D₅₃	—	4	4	no	—
1072	Dic₁₀₆	—	4	4	no	—
1073	Dic₁₀₆	—	4	4	no	—
1074	Dic₁₀₆	—	4	2	no	—
1075	Dic₁₀₆	—	4	4	no	—
1076	#62820	—	53	1	no	maximal, Sylow
1077	C₂²×C₅₃	—	2	2	no	—
1078	C₂²×C₅₃	—	2	2	no	—
1079	C₂²×C₅₃	—	2	2	no	—
1080	C₂²×C₅₃	—	2	2	no	—
1081	C₂²×C₅₃	—	2	2	no	—
1082	C₂²×C₅₃	—	2	2	no	—
1083	C₂²×C₅₃	—	2	2	no	—
1084	C₂²×C₅₃	—	2	4	no	—
1085	C₂²×C₅₃	—	2	4	no	—
1086	C₂²×C₅₃	—	2	4	no	—
1087	C₂²×C₅₃	—	2	4	no	—
1088	C₂²×C₅₃	—	4	4	no	—
1089	C₂²×C₅₃	—	8	2	no	—
1090	C₂²×C₅₃	—	8	2	no	—
1091	C₂²×C₅₃	—	8	2	no	—
1092	C₂²×C₅₃	—	8	2	no	—
1093	C₂²×C₅₃	—	16	2	no	—
1094	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1095	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1096	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1097	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1098	C₂×D₅₃	—	2	8	no	—
1099	C₂×D₅₃	—	2	2	no	—
1100	C₂×D₅₃	—	2	2	no	—
1101	C₂×D₅₃	—	2	2	no	—
1102	C₂×D₅₃	—	2	2	no	—
1103	C₂×D₅₃	—	2	2	no	—
1104	C₂×D₅₃	—	2	4	no	—
1105	C₂×D₅₃	—	2	4	no	—
1106	C₂×D₅₃	—	2	2	no	—
1107	C₂×D₅₃	—	2	2	no	—
1108	C₂×D₅₃	—	4	8	no	—
1109	C₂×D₅₃	—	4	8	no	—
1110	C₂×D₅₃	—	4	4	no	—
1111	C₂×D₅₃	—	8	8	no	—
1112	C₂×D₅₃	—	8	2	no	—
1113	C₂×D₅₃	—	8	2	no	—
1114	C₂×D₅₃	—	16	2	no	—
1115	C₂×D₅₃	#585	1	4	yes	—
1116	C₄×C₅₃	—	2	2	no	—
1117	C₄×C₅₃	—	2	2	no	—
1118	C₄×C₅₃	—	2	2	no	—
1119	C₄×C₅₃	—	2	2	no	—
1120	C₄×C₅₃	—	2	2	no	—
1121	C₄×C₅₃	—	2	2	no	—
1122	C₄×C₅₃	—	2	4	no	—
1123	C₄×C₅₃	—	2	4	no	—
1124	Dic₅₃	—	2	2	no	—
1125	Dic₅₃	—	2	2	no	—
1126	Dic₅₃	—	2	2	no	—
1127	Dic₅₃	—	2	2	no	—
1128	Dic₅₃	—	2	4	no	—
1129	Dic₅₃	—	2	4	no	—
1130	Dic₅₃	—	2	4	no	—
1131	Dic₅₃	—	2	4	no	—
1132	#3535	—	53	4	no	—
1133	#3535	—	53	4	no	—
1134	#3534	—	53	4	no	—
1135	#3534	—	53	4	no	—
1136	#3533	—	53	4	no	—
1137	#3533	—	53	4	no	—
1138	#3513	—	53	4	no	—
1139	#3513	—	53	4	no	—
1140	#3513	—	53	4	no	—
1141	#3513	—	53	4	no	—
1142	#3492	—	53	4	no	—
1143	#3491	—	53	1	no	—
1144	#3491	—	53	1	no	—
1145	#3491	—	53	1	no	—
1146	#3491	—	53	1	no	—
1147	#3490	—	53	4	no	—
1148	#3490	—	53	1	no	—
1149	#3490	—	53	1	no	—
1150	#3485	—	53	1	no	—
1151	#3485	—	53	1	no	—
1152	#3485	—	53	1	no	—
1153	#3485	D₅₃	1	1	yes	characteristic, complemented
1154	#3484	—	53	1	no	—
1155	#3484	—	53	1	no	—
1156	C₂×#525	—	53	1	no	—
1157	C₂×#525	—	53	1	no	—
1158	C₂²×#123	—	53	1	no	—
1159	C₂×C₅₃	—	2	2	no	—
1160	C₂×C₅₃	—	2	2	no	—
1161	C₂×C₅₃	—	2	2	no	—
1162	C₂×C₅₃	—	4	2	no	—
1163	C₂×C₅₃	—	4	2	no	—
1164	C₂×C₅₃	—	4	2	no	—
1165	C₂×C₅₃	—	4	2	no	—
1166	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1167	C₂×C₅₃	C₂×#585	1	2	yes	—
1168	D₅₃	—	2	4	no	—
1169	D₅₃	—	4	2	no	—
1170	D₅₃	—	4	2	no	—
1171	D₅₃	—	4	2	no	—
1172	C₂×H(5,𝔽₂)	—	53	1	no	—
1173	C₂×H(5,𝔽₂)	C₂×D₅₃	1	1	yes	characteristic, complemented
1174	C₂²×#41	—	53	1	no	—
1175	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1176	C₂³×D₄	—	53	1	no	—
1177	C₂⁴×C₄	—	53	1	no	—
1178	#563	—	53	4	no	—
1179	#563	—	53	4	no	—
1180	#562	—	53	4	no	—
1181	#562	—	53	4	no	—
1182	#562	—	53	4	no	—
1183	#562	—	53	4	no	—
1184	#560	—	53	4	no	—
1185	#560	—	53	4	no	—
1186	#559	—	53	4	no	—
1187	#559	—	53	4	no	—
1188	#554	—	53	4	no	—
1189	#554	—	53	4	no	—
1190	#554	—	53	4	no	—
1191	#554	—	53	4	no	—
1192	#553	—	53	4	no	—
1193	#553	—	53	4	no	—
1194	#553	—	53	4	no	—
1195	#553	—	53	4	no	—
1196	#553	—	53	4	no	—
1197	#553	—	53	4	no	—
1198	#553	—	53	4	no	—
1199	#553	—	53	4	no	—
1200	#552	—	53	4	no	—
1201	#552	—	53	4	no	—
1202	#552	—	53	4	no	—
1203	#552	—	53	4	no	—
1204	#552	—	53	4	no	—
1205	#552	—	53	4	no	—
1206	#552	—	53	4	no	—
1207	#552	—	53	4	no	—
1208	#551	—	53	4	no	—
1209	#551	—	53	4	no	—
1210	#551	—	53	4	no	—
1211	#551	—	53	4	no	—
1212	#551	—	53	4	no	—
1213	#551	—	53	4	no	—
1214	#551	—	53	4	no	—
1215	#551	—	53	4	no	—
1216	#551	—	53	4	no	—
1217	#551	—	53	4	no	—
1218	#551	—	53	4	no	—
1219	#551	—	53	4	no	—
1220	#551	—	53	4	no	—
1221	#551	—	53	4	no	—
1222	#551	—	53	4	no	—
1223	#551	—	53	4	no	—
1224	#551	—	53	4	no	—
1225	#551	—	53	4	no	—
1226	#547	—	53	4	no	—
1227	#547	—	53	4	no	—
1228	#547	—	53	4	no	—
1229	#547	—	53	4	no	—
1230	#547	—	53	4	no	—
1231	#547	—	53	4	no	—
1232	#547	C₂×D₅₃	1	4	yes	complemented
1233	#547	C₂×D₅₃	1	4	yes	complemented
1234	#546	—	53	4	no	—
1235	#546	—	53	4	no	—
1236	#546	—	53	4	no	—
1237	#546	—	53	4	no	—
1238	#546	—	53	4	no	—
1239	#546	—	53	4	no	—
1240	#546	—	53	4	no	—
1241	#546	—	53	4	no	—
1242	#546	—	53	4	no	—
1243	#546	—	53	4	no	—
1244	#546	—	53	4	no	—
1245	#546	—	53	4	no	—
1246	#546	—	53	4	no	—
1247	#546	—	53	4	no	—
1248	#546	—	53	4	no	—
1249	#546	—	53	4	no	—
1250	#546	—	53	4	no	—
1251	#546	—	53	4	no	—
1252	#546	C₂×D₅₃	1	4	yes	complemented
1253	#546	C₂×D₅₃	1	4	yes	complemented
1254	D₄²	—	53	4	no	—
1255	D₄²	—	53	4	no	—
1256	D₄²	—	53	4	no	—
1257	D₄²	—	53	4	no	—
1258	#544	—	53	4	no	—
1259	#543	—	53	4	no	—
1260	#543	—	53	1	no	—
1261	#543	—	53	1	no	—
1262	#542	—	53	4	no	—
1263	#542	—	53	4	no	—
1264	#542	—	53	4	no	—
1265	#542	—	53	4	no	—
1266	#540	—	53	4	no	—
1267	#540	—	53	4	no	—
1268	#540	—	53	4	no	—
1269	#540	—	53	4	no	—
1270	#539	—	53	4	no	—
1271	#539	—	53	4	no	—
1272	#539	—	53	4	no	—
1273	#539	—	53	4	no	—
1274	#539	—	53	4	no	—
1275	#539	—	53	4	no	—
1276	#539	—	53	4	no	—
1277	#539	—	53	4	no	—
1278	#539	—	53	4	no	—
1279	#539	—	53	4	no	—
1280	#539	—	53	4	no	—
1281	#539	—	53	4	no	—
1282	#538	—	53	4	no	—
1283	#538	—	53	4	no	—
1284	#538	—	53	4	no	—
1285	#538	—	53	4	no	—
1286	#538	—	53	4	no	—
1287	#538	—	53	4	no	—
1288	#538	—	53	4	no	—
1289	#538	—	53	4	no	—
1290	#538	—	53	4	no	—
1291	#538	—	53	4	no	—
1292	#537	—	53	4	no	—
1293	#536	—	53	2	no	—
1294	#536	—	53	2	no	—
1295	#536	—	53	2	no	—
1296	#536	C₂×D₅₃	1	2	yes	complemented
1297	#535	—	53	2	no	—
1298	#535	—	53	2	no	—
1299	#534	—	53	1	no	—
1300	#534	—	53	1	no	—
1301	#534	—	53	1	no	—
1302	#534	—	53	2	no	—
1303	#534	—	53	1	no	—
1304	#534	—	53	2	no	—
1305	#534	—	53	2	no	—
1306	#534	—	53	2	no	—
1307	#534	—	53	2	no	—
1308	#534	—	53	4	no	—
1309	#534	C₂×D₅₃	1	1	yes	characteristic
1310	#534	C₂×D₅₃	1	1	yes	characteristic, complemented
1311	#534	C₂×D₅₃	1	2	yes	complemented
1312	#529	—	53	4	no	—
1313	#529	—	53	4	no	—
1314	#529	—	53	4	no	—
1315	#529	—	53	4	no	—
1316	#525	—	53	4	no	—
1317	#525	—	53	4	no	—
1318	#525	—	53	2	no	—
1319	#525	—	53	2	no	—
1320	#525	—	53	4	no	—
1321	#525	—	53	4	no	—
1322	#525	—	53	2	no	—
1323	#525	—	53	4	no	—
1324	#525	—	53	4	no	—
1325	#525	—	53	2	no	—
1326	#525	—	53	4	no	—
1327	#525	—	53	4	no	—
1328	#525	—	53	4	no	—
1329	#525	—	53	2	no	—
1330	#525	—	53	4	no	—
1331	#525	C₂×D₅₃	1	2	yes	complemented
1332	C₂×#123	—	53	1	no	—
1333	C₂×#123	—	53	1	no	—
1334	C₂×#123	—	53	1	no	—
1335	C₂×#123	—	53	2	no	—
1336	C₂×#123	—	53	1	no	—
1337	C₂×#123	—	53	1	no	—
1338	C₂×#123	—	53	2	no	—
1339	C₂×#123	—	53	4	no	—
1340	C₂×#123	—	53	4	no	—
1341	C₂×#123	—	53	4	no	—
1342	C₂×#123	—	53	4	no	—
1343	C₂×#123	—	53	2	no	—
1344	C₂×#123	—	53	2	no	—
1345	C₂×#123	—	53	2	no	—
1346	C₂×#123	—	53	1	no	—
1347	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1348	C₂×#123	C₂×D₅₃	1	1	yes	characteristic, complemented
1349	C₂×#123	C₂×D₅₃	1	2	yes	complemented
1350	C₂×C₂²⋊Q₈	—	53	2	no	—
1351	C₂×C₂²⋊Q₈	—	53	2	no	—
1352	C₂×#121	—	53	2	no	—
1353	C₂×#121	—	53	2	no	—
1354	C₂×#120	—	53	1	no	—
1355	C₂×#120	—	53	1	no	—
1356	C₂×#120	—	53	1	no	—
1357	C₂×#120	—	53	2	no	—
1358	C₂×#120	—	53	2	no	—
1359	C₂×#120	—	53	1	no	—
1360	#520	—	53	4	no	—
1361	#520	—	53	4	no	—
1362	#518	—	53	1	no	—
1363	#518	—	53	1	no	—
1364	#518	—	53	1	no	—
1365	#518	—	53	4	no	—
1366	#518	—	53	1	no	—
1367	#518	—	53	1	no	—
1368	#518	—	53	4	no	—
1369	#518	C₂×D₅₃	1	1	yes	characteristic, complemented
1370	C₂×C₄×D₄	—	53	2	no	—
1371	C₂×C₄×D₄	—	53	2	no	—
1372	C₂×C₄×D₄	—	53	2	no	—
1373	C₂×C₄×D₄	—	53	2	no	—
1374	C₂×#117	—	53	1	no	—
1375	C₂×#117	—	53	1	no	—
1376	C₂²×C₄⋊C₄	—	53	2	no	—
1377	C₂²×C₂²⋊C₄	—	53	1	no	—
1378	C₂²×C₂²⋊C₄	—	53	2	no	—
1379	C₅₃	#62820	1	1	yes	characteristic, complemented, Sylow
1380	C₂⁵	—	53	1	no	—
1381	C₂⁵	—	53	1	no	—
1382	H(5,𝔽₂)	—	4	4	no	—
1383	H(5,𝔽₂)	—	212	4	no	—
1384	C₂×#41	—	4	4	no	—
1385	C₂×#41	—	53	4	no	—
1386	C₂×#41	—	53	4	no	—
1387	C₂×#41	—	53	4	no	—
1388	C₂×#41	—	53	2	no	—
1389	C₂×#41	—	53	2	no	—
1390	C₂×#41	—	53	4	no	—
1391	C₂×#41	—	53	2	no	—
1392	C₂×#41	—	212	4	no	—
1393	C₂×#41	C₂²×D₅₃	1	4	yes	—
1394	C₂×#41	C₂²×D₅₃	1	2	yes	—
1395	C₂×#41	C₂²×D₅₃	1	2	yes	—
1396	C₂×#41	C₂²×D₅₃	1	2	yes	—
1397	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1398	C₂²×Q₈	—	53	1	no	—
1399	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1400	C₂²×D₄	—	53	1	no	—
1401	C₂²×D₄	—	53	1	no	—
1402	C₂²×D₄	—	53	2	no	—
1403	C₂²×D₄	—	53	2	no	—
1404	C₂²×D₄	—	53	2	no	—
1405	C₂²×D₄	—	53	4	no	—
1406	C₂²×D₄	—	53	1	no	—
1407	C₂²×D₄	—	53	1	no	—
1408	C₂²×D₄	—	53	2	no	—
1409	C₂²×D₄	—	53	4	no	—
1410	C₂²×D₄	—	53	2	no	—
1411	C₂²×D₄	—	53	4	no	—
1412	C₂²×D₄	—	53	4	no	—
1413	C₂²×D₄	—	53	2	no	—
1414	C₂²×D₄	—	53	2	no	—
1415	C₂²×D₄	—	53	1	no	—
1416	C₂²×D₄	—	212	4	no	—
1417	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1418	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1419	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1420	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1421	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1422	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1423	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1424	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1425	C₂³×C₄	—	53	1	no	—
1426	C₂³×C₄	—	53	1	no	—
1427	C₂³×C₄	—	53	2	no	—
1428	C₂³×C₄	—	53	2	no	—
1429	C₂³×C₄	—	53	1	no	—
1430	C₂³×C₄	—	53	2	no	—
1431	C₂³×C₄	—	53	2	no	—
1432	C₂³×C₄	—	53	1	no	—
1433	C₂³×C₄	—	53	2	no	—
1434	C₂³×C₄	—	53	2	no	—
1435	C₂³×C₄	—	53	2	no	—
1436	C₂³×C₄	—	212	4	no	—
1437	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1438	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1439	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1440	C₄⋊Q₈	—	53	4	no	—
1441	C₄⋊Q₈	—	53	4	no	—
1442	C₄⋊Q₈	—	53	4	no	—
1443	C₄⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1444	#127	—	53	4	no	—
1445	#127	—	53	4	no	—
1446	#126	—	53	4	no	—
1447	#126	—	53	4	no	—
1448	#126	—	53	4	no	—
1449	#126	—	53	4	no	—
1450	#126	—	53	4	no	—
1451	#126	—	53	4	no	—
1452	#126	—	53	4	no	—
1453	#126	—	53	4	no	—
1454	#126	—	53	4	no	—
1455	#126	—	53	4	no	—
1456	#126	—	53	4	no	—
1457	#126	—	53	4	no	—
1458	#126	—	53	4	no	—
1459	#126	—	53	4	no	—
1460	#126	—	53	4	no	—
1461	#126	—	53	4	no	—
1462	#126	—	53	4	no	—
1463	#126	—	53	4	no	—
1464	#126	—	53	4	no	—
1465	#126	—	53	4	no	—
1466	#125	—	53	4	no	—
1467	#125	—	53	4	no	—
1468	#125	—	53	4	no	—
1469	#125	—	53	4	no	—
1470	#125	—	53	4	no	—
1471	#125	—	53	4	no	—
1472	#125	—	53	4	no	—
1473	#125	—	53	4	no	—
1474	#125	—	53	4	no	—
1475	#125	—	53	4	no	—
1476	#125	—	53	4	no	—
1477	#125	—	53	4	no	—
1478	#124	—	53	4	no	—
1479	#124	—	53	4	no	—
1480	#124	—	53	4	no	—
1481	#124	—	53	4	no	—
1482	#124	—	53	4	no	—
1483	#124	—	53	4	no	—
1484	#124	—	53	4	no	—
1485	#124	—	53	4	no	—
1486	#124	—	53	4	no	—
1487	#124	—	53	4	no	—
1488	#124	—	53	4	no	—
1489	#124	—	53	4	no	—
1490	#124	—	53	4	no	—
1491	#124	C₂²×D₅₃	1	4	yes	complemented
1492	#123	—	53	2	no	—
1493	#123	—	53	2	no	—
1494	#123	—	53	4	no	—
1495	#123	—	53	2	no	—
1496	#123	—	53	2	no	—
1497	#123	—	53	2	no	—
1498	#123	—	53	2	no	—
1499	#123	—	53	4	no	—
1500	#123	—	53	4	no	—
1501	#123	—	53	2	no	—
1502	#123	—	53	2	no	—
1503	#123	—	53	4	no	—
1504	#123	—	53	4	no	—
1505	#123	—	53	2	no	—
1506	#123	—	53	2	no	—
1507	#123	—	53	4	no	—
1508	#123	—	53	4	no	—
1509	#123	—	53	4	no	—
1510	#123	—	53	2	no	—
1511	#123	—	53	2	no	—
1512	#123	—	53	4	no	—
1513	#123	—	53	2	no	—
1514	#123	—	53	2	no	—
1515	#123	—	53	4	no	—
1516	#123	—	53	2	no	—
1517	#123	—	53	2	no	—
1518	#123	—	53	2	no	—
1519	#123	—	53	4	no	—
1520	#123	—	53	4	no	—
1521	#123	—	53	2	no	—
1522	#123	—	53	4	no	—
1523	#123	—	53	4	no	—
1524	#123	—	53	4	no	—
1525	#123	—	53	4	no	—
1526	#123	—	53	4	no	—
1527	#123	—	53	4	no	—
1528	#123	—	53	4	no	—
1529	#123	—	53	4	no	—
1530	#123	—	53	4	no	—
1531	#123	—	53	4	no	—
1532	#123	—	53	4	no	—
1533	#123	—	53	4	no	—
1534	#123	—	53	2	no	—
1535	#123	—	53	2	no	—
1536	#123	—	53	4	no	—
1537	#123	—	53	4	no	—
1538	#123	—	53	4	no	—
1539	#123	—	53	4	no	—
1540	#123	—	53	4	no	—
1541	#123	—	53	4	no	—
1542	#123	—	53	4	no	—
1543	#123	—	53	4	no	—
1544	#123	—	53	4	no	—
1545	#123	—	53	4	no	—
1546	#123	—	53	4	no	—
1547	#123	—	53	4	no	—
1548	#123	—	53	4	no	—
1549	#123	—	53	4	no	—
1550	#123	—	53	4	no	—
1551	#123	—	53	4	no	—
1552	#123	—	53	4	no	—
1553	#123	C₂²×D₅₃	1	2	yes	—
1554	#123	C₂²×D₅₃	1	2	yes	—
1555	#123	C₂²×D₅₃	1	4	yes	—
1556	#123	C₂²×D₅₃	1	4	yes	—
1557	#123	C₂²×D₅₃	1	2	yes	—
1558	#123	C₂²×D₅₃	1	2	yes	—
1559	#123	C₂²×D₅₃	1	2	yes	complemented
1560	#123	C₂²×D₅₃	1	2	yes	complemented
1561	#123	C₂²×D₅₃	1	2	yes	complemented
1562	#123	C₂²×D₅₃	1	2	yes	complemented
1563	#123	C₂²×D₅₃	1	4	yes	complemented
1564	#123	C₂²×D₅₃	1	4	yes	complemented
1565	#123	C₂²×D₅₃	1	4	yes	complemented
1566	C₂²⋊Q₈	—	53	4	no	—
1567	C₂²⋊Q₈	—	53	4	no	—
1568	C₂²⋊Q₈	—	53	4	no	—
1569	C₂²⋊Q₈	—	53	4	no	—
1570	C₂²⋊Q₈	—	53	4	no	—
1571	C₂²⋊Q₈	—	53	4	no	—
1572	C₂²⋊Q₈	—	53	4	no	—
1573	C₂²⋊Q₈	—	53	4	no	—
1574	C₂²⋊Q₈	—	53	4	no	—
1575	C₂²⋊Q₈	—	53	4	no	—
1576	C₂²⋊Q₈	—	53	4	no	—
1577	C₂²⋊Q₈	—	53	4	no	—
1578	C₂²⋊Q₈	—	53	4	no	—
1579	C₂²⋊Q₈	—	53	4	no	—
1580	C₂²⋊Q₈	—	53	4	no	—
1581	C₂²⋊Q₈	—	53	4	no	—
1582	C₂²⋊Q₈	—	53	4	no	—
1583	C₂²⋊Q₈	—	53	4	no	—
1584	C₂²⋊Q₈	—	53	4	no	—
1585	C₂²⋊Q₈	—	53	4	no	—
1586	C₂²⋊Q₈	—	53	4	no	—
1587	C₂²⋊Q₈	—	53	4	no	—
1588	C₂²⋊Q₈	—	53	4	no	—
1589	C₂²⋊Q₈	—	53	4	no	—
1590	C₂²⋊Q₈	—	53	4	no	—
1591	C₂²⋊Q₈	—	53	4	no	—
1592	C₂²⋊Q₈	—	53	4	no	—
1593	C₂²⋊Q₈	—	53	4	no	—
1594	C₂²⋊Q₈	—	53	4	no	—
1595	C₂²⋊Q₈	—	53	4	no	—
1596	C₂²⋊Q₈	—	53	4	no	—
1597	C₂²⋊Q₈	—	53	4	no	—
1598	C₂²⋊Q₈	—	53	4	no	—
1599	C₂²⋊Q₈	—	53	4	no	—
1600	C₂²⋊Q₈	—	53	4	no	—
1601	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1602	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1603	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1604	#121	—	53	4	no	—
1605	#121	—	53	4	no	—
1606	#121	—	53	4	no	—
1607	#121	—	53	4	no	—
1608	#121	—	53	4	no	—
1609	#121	—	53	4	no	—
1610	#121	—	53	4	no	—
1611	#121	—	53	4	no	—
1612	#121	—	53	4	no	—
1613	#121	—	53	4	no	—
1614	#121	—	53	4	no	—
1615	#121	—	53	4	no	—
1616	#121	—	53	4	no	—
1617	#121	—	53	4	no	—
1618	#121	—	53	4	no	—
1619	#121	—	53	4	no	—
1620	#121	—	53	4	no	—
1621	#121	—	53	4	no	—
1622	#121	—	53	4	no	—
1623	#121	—	53	4	no	—
1624	#121	—	53	4	no	—
1625	#121	—	53	4	no	—
1626	#121	—	53	4	no	—
1627	#121	—	53	4	no	—
1628	#121	—	53	4	no	—
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	C₂²×D₅₃	1	4	yes	—
1642	#121	C₂²×D₅₃	1	4	yes	—
1643	#121	C₂²×D₅₃	1	4	yes	complemented
1644	#121	C₂²×D₅₃	1	4	yes	complemented
1645	#121	C₂²×D₅₃	1	4	yes	complemented
1646	#120	—	53	2	no	—
1647	#120	—	53	2	no	—
1648	#120	—	53	2	no	—
1649	#120	—	53	2	no	—
1650	#120	—	53	4	no	—
1651	#120	—	53	4	no	—
1652	#120	—	53	2	no	—
1653	#120	—	53	2	no	—
1654	#120	—	53	2	no	—
1655	#120	—	53	2	no	—
1656	#120	—	53	2	no	—
1657	#120	—	53	2	no	—
1658	#120	—	53	4	no	—
1659	#120	—	53	4	no	—
1660	#120	—	53	4	no	—
1661	#120	—	53	2	no	—
1662	#120	—	53	2	no	—
1663	#120	—	53	4	no	—
1664	#120	—	53	4	no	—
1665	#120	—	53	4	no	—
1666	#120	—	53	2	no	—
1667	#120	—	53	2	no	—
1668	#120	—	53	4	no	—
1669	#120	—	53	4	no	—
1670	#120	—	53	2	no	—
1671	#120	—	53	2	no	—
1672	#120	—	53	4	no	—
1673	#120	—	53	4	no	—
1674	#120	—	53	4	no	—
1675	#120	C₂²×D₅₃	1	2	yes	—
1676	#120	C₂²×D₅₃	1	2	yes	—
1677	#120	C₂²×D₅₃	1	2	yes	complemented
1678	#120	C₂²×D₅₃	1	2	yes	complemented
1679	#120	C₂²×D₅₃	1	4	yes	complemented
1680	C₄×Q₈	—	53	4	no	—
1681	C₄×Q₈	—	53	4	no	—
1682	C₄×Q₈	—	53	4	no	—
1683	C₄×Q₈	—	53	4	no	—
1684	C₄×D₄	—	53	4	no	—
1685	C₄×D₄	—	53	4	no	—
1686	C₄×D₄	—	53	4	no	—
1687	C₄×D₄	—	53	4	no	—
1688	C₄×D₄	—	53	4	no	—
1689	C₄×D₄	—	53	4	no	—
1690	C₄×D₄	—	53	4	no	—
1691	C₄×D₄	—	53	4	no	—
1692	C₄×D₄	—	53	4	no	—
1693	C₄×D₄	—	53	4	no	—
1694	C₄×D₄	—	53	4	no	—
1695	C₄×D₄	—	53	4	no	—
1696	C₄×D₄	—	53	4	no	—
1697	C₄×D₄	—	53	4	no	—
1698	C₄×D₄	—	53	4	no	—
1699	C₄×D₄	—	53	4	no	—
1700	C₄×D₄	—	53	4	no	—
1701	C₄×D₄	—	53	4	no	—
1702	C₄×D₄	—	53	4	no	—
1703	C₄×D₄	—	53	4	no	—
1704	C₄×D₄	—	53	4	no	—
1705	C₄×D₄	—	53	4	no	—
1706	C₄×D₄	—	53	4	no	—
1707	C₄×D₄	—	53	4	no	—
1708	C₄×D₄	—	53	4	no	—
1709	C₄×D₄	—	53	4	no	—
1710	C₄×D₄	—	53	4	no	—
1711	C₄×D₄	—	53	4	no	—
1712	C₄×D₄	—	53	4	no	—
1713	C₄×D₄	—	53	4	no	—
1714	C₄×D₄	—	53	4	no	—
1715	C₄×D₄	—	53	4	no	—
1716	C₄×D₄	—	53	4	no	—
1717	C₄×D₄	—	53	4	no	—
1718	C₄×D₄	—	53	4	no	—
1719	C₄×D₄	—	53	4	no	—
1720	C₄×D₄	—	53	4	no	—
1721	C₄×D₄	—	53	4	no	—
1722	C₄×D₄	—	53	4	no	—
1723	C₄×D₄	—	53	4	no	—
1724	C₄×D₄	—	53	4	no	—
1725	C₄×D₄	—	53	4	no	—
1726	C₄×D₄	—	53	4	no	—
1727	C₄×D₄	—	53	4	no	—
1728	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1729	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1730	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1731	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1732	#117	—	53	4	no	—
1733	#117	—	53	4	no	—
1734	#117	—	53	2	no	—
1735	#117	—	53	2	no	—
1736	#117	—	53	2	no	—
1737	#117	—	53	4	no	—
1738	#117	—	53	4	no	—
1739	#117	—	53	4	no	—
1740	#117	—	53	4	no	—
1741	#117	—	53	4	no	—
1742	#117	—	53	4	no	—
1743	#117	—	53	2	no	—
1744	#117	—	53	2	no	—
1745	#117	—	53	4	no	—
1746	#117	—	53	4	no	—
1747	#117	—	53	4	no	—
1748	#117	—	53	4	no	—
1749	#117	—	53	4	no	—
1750	#117	—	53	4	no	—
1751	#117	C₂²×D₅₃	1	2	yes	complemented
1752	C₂×C₄⋊C₄	—	53	2	no	—
1753	C₂×C₄⋊C₄	—	53	2	no	—
1754	C₂×C₄⋊C₄	—	53	2	no	—
1755	C₂×C₄⋊C₄	—	53	2	no	—
1756	C₂×C₄⋊C₄	—	53	2	no	—
1757	C₂×C₄⋊C₄	—	53	2	no	—
1758	C₂×C₄⋊C₄	—	53	2	no	—
1759	C₂×C₄⋊C₄	—	53	2	no	—
1760	C₂×C₄⋊C₄	—	53	4	no	—
1761	C₂×C₄⋊C₄	—	53	4	no	—
1762	C₂×C₄⋊C₄	—	53	4	no	—
1763	C₂×C₄⋊C₄	—	53	4	no	—
1764	C₂×C₄⋊C₄	—	53	4	no	—
1765	C₂×C₄⋊C₄	—	53	4	no	—
1766	C₂×C₄⋊C₄	—	53	4	no	—
1767	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	—
1768	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1769	C₂×C₄⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1770	C₂×C₂²⋊C₄	—	53	1	no	—
1771	C₂×C₂²⋊C₄	—	53	2	no	—
1772	C₂×C₂²⋊C₄	—	53	1	no	—
1773	C₂×C₂²⋊C₄	—	53	1	no	—
1774	C₂×C₂²⋊C₄	—	53	1	no	—
1775	C₂×C₂²⋊C₄	—	53	2	no	—
1776	C₂×C₂²⋊C₄	—	53	2	no	—
1777	C₂×C₂²⋊C₄	—	53	2	no	—
1778	C₂×C₂²⋊C₄	—	53	2	no	—
1779	C₂×C₂²⋊C₄	—	53	2	no	—
1780	C₂×C₂²⋊C₄	—	53	4	no	—
1781	C₂×C₂²⋊C₄	—	53	2	no	—
1782	C₂×C₂²⋊C₄	—	53	2	no	—
1783	C₂×C₂²⋊C₄	—	53	2	no	—
1784	C₂×C₂²⋊C₄	—	53	2	no	—
1785	C₂×C₂²⋊C₄	—	53	2	no	—
1786	C₂×C₂²⋊C₄	—	53	2	no	—
1787	C₂×C₂²⋊C₄	—	53	2	no	—
1788	C₂×C₂²⋊C₄	—	53	2	no	—
1789	C₂×C₂²⋊C₄	—	53	4	no	—
1790	C₂×C₂²⋊C₄	—	53	4	no	—
1791	C₂×C₂²⋊C₄	—	53	4	no	—
1792	C₂×C₂²⋊C₄	—	53	4	no	—
1793	C₂×C₂²⋊C₄	—	53	4	no	—
1794	C₂×C₂²⋊C₄	—	53	4	no	—
1795	C₂×C₂²⋊C₄	—	53	4	no	—
1796	C₂×C₂²⋊C₄	—	53	4	no	—
1797	C₂×C₂²⋊C₄	—	53	2	no	—
1798	C₂×C₂²⋊C₄	—	53	4	no	—
1799	C₂×C₂²⋊C₄	—	53	2	no	—
1800	C₂×C₂²⋊C₄	—	53	4	no	—
1801	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1802	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1803	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1804	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1805	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1806	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
1807	C₂×C₄²	—	53	2	no	—
1808	C₂×C₄²	—	53	2	no	—
1809	C₂⁴	—	53	1	no	—
1810	C₂⁴	—	53	2	no	—
1811	C₂⁴	—	53	2	no	—
1812	C₂⁴	—	53	4	no	—
1813	C₂⁴	—	53	1	no	—
1814	C₂⁴	—	53	1	no	—
1815	C₂⁴	—	53	1	no	—
1816	C₂⁴	—	53	2	no	—
1817	C₂⁴	—	106	4	no	—
1818	C₂⁴	—	212	2	no	—
1819	C₂⁴	—	212	4	no	—
1820	C₂⁴	—	212	4	no	—
1821	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1822	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1823	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1824	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1825	C₂⁴	C₂³×D₅₃	1	2	yes	—
1826	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1827	#41	—	4	8	no	—
1828	#41	—	4	8	no	—
1829	#41	—	4	4	no	—
1830	#41	—	4	4	no	—
1831	#41	—	4	4	no	—
1832	#41	—	212	4	no	—
1833	#41	—	212	8	no	—
1834	#41	—	212	8	no	—
1835	#41	—	212	8	no	—
1836	#41	—	212	4	no	—
1837	#41	—	212	4	no	—
1838	#41	—	212	8	no	—
1839	C₂×Q₈	—	4	2	no	—
1840	C₂×Q₈	—	53	4	no	—
1841	C₂×Q₈	—	53	4	no	—
1842	C₂×Q₈	—	53	4	no	—
1843	C₂×Q₈	—	53	2	no	—
1844	C₂×Q₈	—	212	2	no	—
1845	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1846	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1847	C₂×D₄	—	2	4	no	—
1848	C₂×D₄	—	2	4	no	—
1849	C₂×D₄	—	2	4	no	—
1850	C₂×D₄	—	2	4	no	—
1851	C₂×D₄	—	4	2	no	—
1852	C₂×D₄	—	4	4	no	—
1853	C₂×D₄	—	4	4	no	—
1854	C₂×D₄	—	4	4	no	—
1855	C₂×D₄	—	53	4	no	—
1856	C₂×D₄	—	53	4	no	—
1857	C₂×D₄	—	53	4	no	—
1858	C₂×D₄	—	53	2	no	—
1859	C₂×D₄	—	53	2	no	—
1860	C₂×D₄	—	53	2	no	—
1861	C₂×D₄	—	53	2	no	—
1862	C₂×D₄	—	53	4	no	—
1863	C₂×D₄	—	53	4	no	—
1864	C₂×D₄	—	53	4	no	—
1865	C₂×D₄	—	53	4	no	—
1866	C₂×D₄	—	53	4	no	—
1867	C₂×D₄	—	53	4	no	—
1868	C₂×D₄	—	53	4	no	—
1869	C₂×D₄	—	53	4	no	—
1870	C₂×D₄	—	53	2	no	—
1871	C₂×D₄	—	53	4	no	—
1872	C₂×D₄	—	53	2	no	—
1873	C₂×D₄	—	53	4	no	—
1874	C₂×D₄	—	53	4	no	—
1875	C₂×D₄	—	53	2	no	—
1876	C₂×D₄	—	53	4	no	—
1877	C₂×D₄	—	106	4	no	—
1878	C₂×D₄	—	106	4	no	—
1879	C₂×D₄	—	212	2	no	—
1880	C₂×D₄	—	212	4	no	—
1881	C₂×D₄	—	212	2	no	—
1882	C₂×D₄	—	212	2	no	—
1883	C₂×D₄	—	212	8	no	—
1884	C₂×D₄	—	212	8	no	—
1885	C₂×D₄	—	212	4	no	—
1886	C₂×D₄	—	212	4	no	—
1887	C₂×D₄	—	212	8	no	—
1888	C₂×D₄	—	212	4	no	—
1889	C₂×D₄	—	212	4	no	—
1890	C₂×D₄	—	212	4	no	—
1891	C₂×D₄	—	212	4	no	—
1892	C₂×D₄	—	212	8	no	—
1893	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1894	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1895	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1896	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1897	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1898	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1899	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1900	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1901	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1902	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1903	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1904	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1905	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1906	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1907	C₂²×C₄	—	2	4	no	—
1908	C₂²×C₄	—	4	2	no	—
1909	C₂²×C₄	—	4	2	no	—
1910	C₂²×C₄	—	53	1	no	—
1911	C₂²×C₄	—	53	2	no	—
1912	C₂²×C₄	—	53	2	no	—
1913	C₂²×C₄	—	53	1	no	—
1914	C₂²×C₄	—	53	1	no	—
1915	C₂²×C₄	—	53	1	no	—
1916	C₂²×C₄	—	53	2	no	—
1917	C₂²×C₄	—	53	2	no	—
1918	C₂²×C₄	—	53	2	no	—
1919	C₂²×C₄	—	53	2	no	—
1920	C₂²×C₄	—	53	4	no	—
1921	C₂²×C₄	—	53	4	no	—
1922	C₂²×C₄	—	53	4	no	—
1923	C₂²×C₄	—	53	4	no	—
1924	C₂²×C₄	—	53	2	no	—
1925	C₂²×C₄	—	53	4	no	—
1926	C₂²×C₄	—	53	4	no	—
1927	C₂²×C₄	—	53	2	no	—
1928	C₂²×C₄	—	53	2	no	—
1929	C₂²×C₄	—	53	2	no	—
1930	C₂²×C₄	—	53	2	no	—
1931	C₂²×C₄	—	53	4	no	—
1932	C₂²×C₄	—	53	4	no	—
1933	C₂²×C₄	—	53	2	no	—
1934	C₂²×C₄	—	53	4	no	—
1935	C₂²×C₄	—	53	4	no	—
1936	C₂²×C₄	—	53	2	no	—
1937	C₂²×C₄	—	53	2	no	—
1938	C₂²×C₄	—	53	2	no	—
1939	C₂²×C₄	—	53	2	no	—
1940	C₂²×C₄	—	53	2	no	—
1941	C₂²×C₄	—	106	4	no	—
1942	C₂²×C₄	—	212	4	no	—
1943	C₂²×C₄	—	212	4	no	—
1944	C₂²×C₄	—	212	4	no	—
1945	C₂²×C₄	—	212	4	no	—
1946	C₂²×C₄	—	212	4	no	—
1947	C₂²×C₄	—	212	4	no	—
1948	C₂²×C₄	—	212	2	no	—
1949	C₂²×C₄	—	212	2	no	—
1950	C₂²×C₄	—	212	4	no	—
1951	C₂²×C₄	—	212	2	no	—
1952	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1953	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1954	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1955	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1956	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1957	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1958	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1959	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1960	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1961	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1962	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1963	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1964	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1965	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1966	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1967	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1968	C₄⋊C₄	—	53	4	no	—
1969	C₄⋊C₄	—	53	4	no	—
1970	C₄⋊C₄	—	53	4	no	—
1971	C₄⋊C₄	—	53	4	no	—
1972	C₄⋊C₄	—	53	4	no	—
1973	C₄⋊C₄	—	53	4	no	—
1974	C₄⋊C₄	—	53	4	no	—
1975	C₄⋊C₄	—	53	4	no	—
1976	C₄⋊C₄	—	53	4	no	—
1977	C₄⋊C₄	—	53	4	no	—
1978	C₄⋊C₄	—	53	4	no	—
1979	C₄⋊C₄	—	53	4	no	—
1980	C₄⋊C₄	—	53	4	no	—
1981	C₄⋊C₄	—	53	4	no	—
1982	C₄⋊C₄	—	53	4	no	—
1983	C₄⋊C₄	—	53	4	no	—
1984	C₄⋊C₄	—	53	4	no	—
1985	C₄⋊C₄	—	53	4	no	—
1986	C₄⋊C₄	—	53	4	no	—
1987	C₄⋊C₄	—	53	4	no	—
1988	C₄⋊C₄	—	53	4	no	—
1989	C₄⋊C₄	—	53	4	no	—
1990	C₄⋊C₄	—	53	4	no	—
1991	C₄⋊C₄	—	53	4	no	—
1992	C₄⋊C₄	—	53	4	no	—
1993	C₄⋊C₄	—	53	4	no	—
1994	C₄⋊C₄	—	53	4	no	—
1995	C₄⋊C₄	—	53	4	no	—
1996	C₄⋊C₄	—	53	4	no	—
1997	C₄⋊C₄	—	53	4	no	—
1998	C₄⋊C₄	—	53	4	no	—
1999	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2000	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2001	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2002	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2003	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2004	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2005	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2006	C₂²⋊C₄	—	53	2	no	—
2007	C₂²⋊C₄	—	53	2	no	—
2008	C₂²⋊C₄	—	53	4	no	—
2009	C₂²⋊C₄	—	53	4	no	—
2010	C₂²⋊C₄	—	53	2	no	—
2011	C₂²⋊C₄	—	53	2	no	—
2012	C₂²⋊C₄	—	53	2	no	—
2013	C₂²⋊C₄	—	53	2	no	—
2014	C₂²⋊C₄	—	53	2	no	—
2015	C₂²⋊C₄	—	53	2	no	—
2016	C₂²⋊C₄	—	53	4	no	—
2017	C₂²⋊C₄	—	53	4	no	—
2018	C₂²⋊C₄	—	53	4	no	—
2019	C₂²⋊C₄	—	53	4	no	—
2020	C₂²⋊C₄	—	53	4	no	—
2021	C₂²⋊C₄	—	53	4	no	—
2022	C₂²⋊C₄	—	53	4	no	—
2023	C₂²⋊C₄	—	53	4	no	—
2024	C₂²⋊C₄	—	53	4	no	—
2025	C₂²⋊C₄	—	53	4	no	—
2026	C₂²⋊C₄	—	53	4	no	—
2027	C₂²⋊C₄	—	53	4	no	—
2028	C₂²⋊C₄	—	53	4	no	—
2029	C₂²⋊C₄	—	53	4	no	—
2030	C₂²⋊C₄	—	53	4	no	—
2031	C₂²⋊C₄	—	53	4	no	—
2032	C₂²⋊C₄	—	53	4	no	—
2033	C₂²⋊C₄	—	53	4	no	—
2034	C₂²⋊C₄	—	53	4	no	—
2035	C₂²⋊C₄	—	53	4	no	—
2036	C₂²⋊C₄	—	53	4	no	—
2037	C₂²⋊C₄	—	53	4	no	—
2038	C₂²⋊C₄	—	53	4	no	—
2039	C₂²⋊C₄	—	53	4	no	—
2040	C₂²⋊C₄	—	53	4	no	—
2041	C₂²⋊C₄	—	53	4	no	—
2042	C₂²⋊C₄	—	53	4	no	—
2043	C₂²⋊C₄	—	53	4	no	—
2044	C₂²⋊C₄	—	53	4	no	—
2045	C₂²⋊C₄	—	53	4	no	—
2046	C₂²⋊C₄	—	53	4	no	—
2047	C₂²⋊C₄	—	53	4	no	—
2048	C₂²⋊C₄	—	53	4	no	—
2049	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2050	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2051	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2052	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2053	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2054	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2055	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2056	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2057	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2058	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2059	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2060	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2061	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2062	C₄²	—	53	4	no	—
2063	C₄²	—	53	4	no	—
2064	C₄²	—	53	4	no	—
2065	C₄²	—	53	4	no	—
2066	C₄²	—	53	4	no	—
2067	C₄²	—	53	4	no	—
2068	C₄²	—	53	4	no	—
2069	C₄²	—	53	4	no	—
2070	C₄²	—	53	4	no	—
2071	C₄²	C₂³×D₅₃	1	4	yes	—
2072	C₂³	—	2	2	no	—
2073	C₂³	—	2	2	no	—
2074	C₂³	—	2	2	no	—
2075	C₂³	—	2	2	no	—
2076	C₂³	—	4	2	no	—
2077	C₂³	—	4	2	no	—
2078	C₂³	—	4	2	no	—
2079	C₂³	—	4	2	no	—
2080	C₂³	—	4	2	no	—
2081	C₂³	—	4	2	no	—
2082	C₂³	—	4	4	no	—
2083	C₂³	—	53	2	no	—
2084	C₂³	—	53	2	no	—
2085	C₂³	—	53	2	no	—
2086	C₂³	—	53	2	no	—
2087	C₂³	—	106	4	no	—
2088	C₂³	—	106	8	no	—
2089	C₂³	—	106	4	no	—
2090	C₂³	—	106	4	no	—
2091	C₂³	—	106	2	no	—
2092	C₂³	—	106	2	no	—
2093	C₂³	—	106	2	no	—
2094	C₂³	—	106	4	no	—
2095	C₂³	—	106	4	no	—
2096	C₂³	—	106	2	no	—
2097	C₂³	—	424	8	no	—
2098	C₂³	—	212	2	no	—
2099	C₂³	—	212	4	no	—
2100	C₂³	—	212	4	no	—
2101	C₂³	—	212	2	no	—
2102	C₂³	—	212	2	no	—
2103	C₂³	—	212	4	no	—
2104	C₂³	—	212	2	no	—
2105	C₂³	—	212	2	no	—
2106	C₂³	—	212	2	no	—
2107	C₂³	—	212	16	no	—
2108	C₂³	#13133262	1	4	yes	—
2109	C₂³	C₂⁴×D₅₃	1	2	yes	—
2110	C₂³	C₂⁴×D₅₃	1	2	yes	—
2111	C₂³	C₂⁴×D₅₃	1	2	yes	—
2112	C₂³	C₂⁴×D₅₃	1	2	yes	—
2113	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2114	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2115	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2116	Q₈	—	4	4	no	—
2117	Q₈	—	4	2	no	—
2118	Q₈	—	212	4	no	—
2119	Q₈	—	212	4	no	—
2120	Q₈	—	212	4	no	—
2121	Q₈	—	212	2	no	—
2122	D₄	—	2	4	no	—
2123	D₄	—	2	4	no	—
2124	D₄	—	2	4	no	—
2125	D₄	—	2	4	no	—
2126	D₄	—	2	4	no	—
2127	D₄	—	2	4	no	—
2128	D₄	—	2	4	no	—
2129	D₄	—	2	4	no	—
2130	D₄	—	4	2	no	—
2131	D₄	—	4	2	no	—
2132	D₄	—	4	2	no	—
2133	D₄	—	4	4	no	—
2134	D₄	—	4	4	no	—
2135	D₄	—	4	4	no	—
2136	D₄	—	106	8	no	—
2137	D₄	—	106	8	no	—
2138	D₄	—	106	8	no	—
2139	D₄	—	106	8	no	—
2140	D₄	—	106	4	no	—
2141	D₄	—	106	4	no	—
2142	D₄	—	106	4	no	—
2143	D₄	—	106	4	no	—
2144	D₄	—	212	4	no	—
2145	D₄	—	212	4	no	—
2146	D₄	—	212	2	no	—
2147	D₄	—	212	4	no	—
2148	D₄	—	212	4	no	—
2149	D₄	—	212	4	no	—
2150	D₄	—	212	4	no	—
2151	D₄	—	212	4	no	—
2152	D₄	—	212	4	no	—
2153	D₄	—	212	4	no	—
2154	D₄	—	212	2	no	—
2155	D₄	—	212	2	no	—
2156	D₄	—	212	4	no	—
2157	D₄	—	212	4	no	—
2158	C₂×C₄	—	2	2	no	—
2159	C₂×C₄	—	2	2	no	—
2160	C₂×C₄	—	2	4	no	—
2161	C₂×C₄	—	2	4	no	—
2162	C₂×C₄	—	2	2	no	—
2163	C₂×C₄	—	2	2	no	—
2164	C₂×C₄	—	2	2	no	—
2165	C₂×C₄	—	2	2	no	—
2166	C₂×C₄	—	4	4	no	—
2167	C₂×C₄	—	4	4	no	—
2168	C₂×C₄	—	4	2	no	—
2169	C₂×C₄	—	4	2	no	—
2170	C₂×C₄	—	4	2	no	—
2171	C₂×C₄	—	4	2	no	—
2172	C₂×C₄	—	4	2	no	—
2173	C₂×C₄	—	4	4	no	—
2174	C₂×C₄	—	53	4	no	—
2175	C₂×C₄	—	53	4	no	—
2176	C₂×C₄	—	53	4	no	—
2177	C₂×C₄	—	53	2	no	—
2178	C₂×C₄	—	53	4	no	—
2179	C₂×C₄	—	53	2	no	—
2180	C₂×C₄	—	53	2	no	—
2181	C₂×C₄	—	53	2	no	—
2182	C₂×C₄	—	106	8	no	—
2183	C₂×C₄	—	106	2	no	—
2184	C₂×C₄	—	106	2	no	—
2185	C₂×C₄	—	106	4	no	—
2186	C₂×C₄	—	106	4	no	—
2187	C₂×C₄	—	106	2	no	—
2188	C₂×C₄	—	106	2	no	—
2189	C₂×C₄	—	212	4	no	—
2190	C₂×C₄	—	212	2	no	—
2191	C₂×C₄	—	212	2	no	—
2192	C₂×C₄	—	212	2	no	—
2193	C₂×C₄	—	212	2	no	—
2194	C₂×C₄	—	212	2	no	—
2195	C₂×C₄	—	212	2	no	—
2196	C₂×C₄	—	212	2	no	—
2197	C₂×C₄	—	212	2	no	—
2198	C₂×C₄	—	212	4	no	—
2199	C₂×C₄	—	212	4	no	—
2200	C₂×C₄	—	212	4	no	—
2201	C₂×C₄	—	212	2	no	—
2202	C₂×C₄	—	212	2	no	—
2203	C₂×C₄	—	212	4	no	—
2204	C₂×C₄	—	212	2	no	—
2205	C₂×C₄	—	212	4	no	—
2206	C₂×C₄	—	212	2	no	—
2207	C₂×C₄	—	212	2	no	—
2208	C₂×C₄	—	212	2	no	—
2209	C₂×C₄	—	212	4	no	—
2210	C₂×C₄	—	212	2	no	—
2211	C₂×C₄	—	212	4	no	—
2212	C₂×C₄	—	212	4	no	—
2213	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2214	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2215	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2216	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2217	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2218	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2219	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2220	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2221	C₂²	—	2	2	no	—
2222	C₂²	—	2	2	no	—
2223	C₂²	—	2	2	no	—
2224	C₂²	—	2	2	no	—
2225	C₂²	—	2	2	no	—
2226	C₂²	—	2	2	no	—
2227	C₂²	—	2	2	no	—
2228	C₂²	—	2	4	no	—
2229	C₂²	—	2	4	no	—
2230	C₂²	—	2	4	no	—
2231	C₂²	—	2	4	no	—
2232	C₂²	—	4	4	no	—
2233	C₂²	—	8	2	no	—
2234	C₂²	—	8	2	no	—
2235	C₂²	—	8	2	no	—
2236	C₂²	—	8	2	no	—
2237	C₂²	—	16	2	no	—
2238	C₂²	—	53	4	no	—
2239	C₂²	—	848	2	no	—
2240	C₂²	—	106	8	no	—
2241	C₂²	—	106	2	no	—
2242	C₂²	—	106	2	no	—
2243	C₂²	—	106	2	no	—
2244	C₂²	—	106	2	no	—
2245	C₂²	—	106	2	no	—
2246	C₂²	—	106	4	no	—
2247	C₂²	—	106	4	no	—
2248	C₂²	—	106	2	no	—
2249	C₂²	—	106	2	no	—
2250	C₂²	—	424	2	no	—
2251	C₂²	—	424	2	no	—
2252	C₂²	—	424	8	no	—
2253	C₂²	—	212	8	no	—
2254	C₂²	—	212	8	no	—
2255	C₂²	—	212	4	no	—
2256	C₂²	C₂×#13133262	1	2	yes	—
2257	C₂²	C₂×#13133262	1	2	yes	—
2258	C₂²	C₂×#13133262	1	2	yes	—
2259	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2260	C₄	—	2	2	no	—
2261	C₄	—	2	2	no	—
2262	C₄	—	2	2	no	—
2263	C₄	—	2	2	no	—
2264	C₄	—	2	2	no	—
2265	C₄	—	2	2	no	—
2266	C₄	—	2	4	no	—
2267	C₄	—	2	4	no	—
2268	C₄	—	106	2	no	—
2269	C₄	—	106	2	no	—
2270	C₄	—	106	2	no	—
2271	C₄	—	106	2	no	—
2272	C₄	—	106	4	no	—
2273	C₄	—	106	4	no	—
2274	C₄	—	106	4	no	—
2275	C₄	—	106	4	no	—
2276	C₂	—	2	2	no	—
2277	C₂	—	2	2	no	—
2278	C₂	—	2	2	no	—
2279	C₂	—	4	2	no	—
2280	C₂	—	4	2	no	—
2281	C₂	—	4	2	no	—
2282	C₂	—	4	2	no	—
2283	C₂	—	106	4	no	—
2284	C₂	—	212	2	no	—
2285	C₂	—	212	2	no	—
2286	C₂	—	212	2	no	—
2287	C₂	C₂²×#13133262	1	1	yes	characteristic
2288	C₂	#585×D₅₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3485	C₂
hypercenter	#3485	D₅₃
hypocenter	C₅₃	#62820
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3485

Complements

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

N	H ≅ G/N	type
1. #20288916	C₂	semidirect
2. #20288914	C₂	semidirect
3. #20288897	C₂	semidirect
4. #20288895	C₂	semidirect
5. #20288885	C₂	semidirect
6. #20288874	C₂	semidirect
7. #20288650	C₂	semidirect
8. #20288648	C₂	semidirect
9. #20288647	C₂	semidirect
10. #20288641	C₂	semidirect
11. #20288417	C₂	semidirect
12. #20288412	C₂	semidirect
13. #20288411	C₂	semidirect
14. #20288411	C₂	semidirect
15. #20288408	C₂	semidirect
16. #20288403	C₂	semidirect
17. #20288400	C₂	semidirect
18. #20288397	C₂	semidirect
19. #20288359	C₂	semidirect
20. #20288356	C₂	semidirect
21. #20288355	C₂	semidirect
22. #20288347	C₂	semidirect
23. #20288346	C₂	semidirect
24. C₂×#16811131	C₂	semidirect
25. C₂×#16811130	C₂	semidirect
26. C₂×#123×D₅₃	C₂	semidirect
27. C₅₃×#3485	C₂	semidirect
28. C₂×#13133262	C₂²	semidirect
29. C₂²×#11719947	C₂²	semidirect
31. C₂³×C₄×D₅₃	C₂²	semidirect
32. #16811374	C₂²	semidirect
33. #16811372	C₂²	semidirect
34. #16811370	C₂²	semidirect
35. #16811369	C₂²	semidirect
36. #16811368	C₂²	semidirect
37. #16811367	C₂²	semidirect
38. #16811362	C₂²	semidirect
39. #16811361	C₂²	semidirect
40. #16811357	C₂²	semidirect
41. #16811356	C₂²	semidirect
42. #16811334	C₂²	semidirect
43. #16811328	C₂²	semidirect
44. #16811327	C₂²	semidirect
45. #16811327	C₂²	semidirect
46. #16811323	C₂²	semidirect
47. #16811322	C₂²	semidirect
48. #16811321	C₂²	semidirect
49. #16811320	C₂²	semidirect
50. #16811318	C₂²	semidirect
51. #16811318	C₂²	semidirect
52. #16811318	C₂²	semidirect
53. #16811316	C₂²	semidirect
54. #16811313	C₂²	semidirect
55. #16811310	C₂²	semidirect
56. #16811310	C₂²	semidirect
57. #16811310	C₂²	semidirect
58. #16811310	C₂²	semidirect
59. #16811308	C₂²	semidirect
60. #16811308	C₂²	semidirect
61. #16811306	C₂²	semidirect
62. #16811304	C₂²	semidirect
63. #16811304	C₂²	semidirect
64. #16811303	C₂²	semidirect
65. #16811302	C₂²	semidirect
66. #16811302	C₂²	semidirect
67. #16811302	C₂²	semidirect
68. #16811301	C₂²	semidirect
69. #16811300	C₂²	semidirect
70. #16811300	C₂²	semidirect
71. #16811299	C₂²	semidirect
72. #16811299	C₂²	semidirect
73. #16811299	C₂²	semidirect
74. #16811299	C₂²	semidirect
75. #16811297	C₂²	semidirect
76. #16811296	C₂²	semidirect
77. #16811296	C₂²	semidirect
78. #16811296	C₂²	semidirect
79. #16811296	C₂²	semidirect
80. #16811273	C₂²	semidirect
81. #16811272	C₂²	semidirect
82. #16811272	C₂²	semidirect
83. #16811272	C₂²	semidirect
84. #16811272	C₂²	semidirect
85. #16811271	C₂²	semidirect
86. #16811270	C₂²	semidirect
87. #16811269	C₂²	semidirect
88. #16811267	C₂²	semidirect
89. #16811267	C₂²	semidirect
90. #16811265	C₂²	semidirect
91. #16811263	C₂²	semidirect
92. #16811263	C₂²	semidirect
93. #16811262	C₂²	semidirect
94. #16811262	C₂²	semidirect
95. #16811262	C₂²	semidirect
96. #16811261	C₂²	semidirect
97. #16811261	C₂²	semidirect
98. #16811261	C₂²	semidirect
99. #16811261	C₂²	semidirect
100. #16811260	C₂²	semidirect
101. #16811260	C₂²	semidirect
102. #16811260	C₂²	semidirect
103. #16811260	C₂²	semidirect
104. #16811257	C₂²	semidirect
105. D₄×C₂²⋊D₅₃	C₂²	semidirect
106. D₄×C₂²⋊D₅₃	C₂²	semidirect
107. #16811255	C₂²	semidirect
108. #16811250	C₂²	semidirect
109. #16811249	C₂²	semidirect
110. #16811249	C₂²	semidirect
111. #16811248	C₂²	semidirect
112. #16811247	C₂²	semidirect
113. #16811243	C₂²	semidirect
114. #16811241	C₂²	semidirect
115. #16811237	C₂²	semidirect
116. #16811226	C₂²	semidirect
117. #16811225	C₂²	semidirect
118. #16811223	C₂²	semidirect
119. #16811223	C₂²	semidirect
120. #16811222	C₂²	semidirect
121. #16811220	C₂²	semidirect
122. #16811219	C₂²	semidirect
123. #16811219	C₂²	semidirect
124. #16811219	C₂²	semidirect
125. #16811218	C₂²	semidirect
126. #16811217	C₂²	semidirect
127. #16811217	C₂²	semidirect
128. #16811216	C₂²	semidirect
129. #16811216	C₂²	semidirect
130. #16811215	C₂²	semidirect
131. #16811215	C₂²	semidirect
132. #16811211	C₂²	semidirect
133. #16811210	C₂²	semidirect
134. #16811209	C₂²	semidirect
135. #16811209	C₂²	semidirect
136. #16811208	C₂²	semidirect
137. #16811207	C₂²	semidirect
138. #16811206	C₂²	semidirect
139. #16811206	C₂²	semidirect
140. #16811205	C₂²	semidirect
141. #16811205	C₂²	semidirect
142. #16811202	C₂²	semidirect
143. #16811197	C₂²	semidirect
144. #16811195	C₂²	semidirect
145. #16811194	C₂²	semidirect
146. #16811188	C₂²	semidirect
147. #16811187	C₂²	semidirect
148. #16811184	C₂²	semidirect
149. #16811183	C₂²	semidirect
150. #16811183	C₂²	semidirect
154. #16811182	C₂²	semidirect
155. #16811182	C₂²	semidirect
156. #16811182	C₂²	semidirect
157. #16811182	C₂²	semidirect
158. #16811154	C₂²	semidirect
159. #16811153	C₂²	semidirect
160. #16811150	C₂²	semidirect
161. #16811150	C₂²	semidirect
162. #16811134	C₂²	semidirect
163. #16811133	C₂²	semidirect
164. #16811132	C₂²	semidirect
165. #16811131	C₂²	semidirect
166. #16811131	C₂²	semidirect
167. #16811131	C₂²	semidirect
168. #16811131	C₂²	semidirect
169. #16811131	C₂²	semidirect
170. #16811130	C₂²	semidirect
171. #16811130	C₂²	semidirect
172. #16811130	C₂²	semidirect
173. #16811130	C₂²	semidirect
174. #16811130	C₂²	semidirect
175. #16811130	C₂²	semidirect
176. #16811129	C₂²	semidirect
177. C₂×#13133202	C₂²	semidirect
178. C₂×#13133201	C₂²	semidirect
179. C₂×#13133200	C₂²	semidirect
180. C₂×#13133200	C₂²	semidirect
181. C₂×#13133200	C₂²	semidirect
182. C₂×#13133199	C₂²	semidirect
183. C₂×#13133198	C₂²	semidirect
184. C₂×#13133198	C₂²	semidirect
185. C₂×#13133198	C₂²	semidirect
186. C₂×#13133198	C₂²	semidirect
187. #123×D₅₃	C₂²	semidirect
188. #123×D₅₃	C₂²	semidirect
189. #123×D₅₃	C₂²	semidirect
190. #123×D₅₃	C₂²	semidirect
191. #123×D₅₃	C₂²	semidirect
192. C₂×#13133195	C₂²	semidirect
193. C₂×#13133193	C₂²	semidirect
194. C₂×#13133190	C₂²	semidirect
195. C₂×#13133188	C₂²	semidirect
196. C₂×#13133187	C₂²	semidirect
197. C₂×#13133185	C₂²	semidirect
198. C₂×#13133185	C₂²	semidirect
199. C₂×#13133185	C₂²	semidirect
200. C₂×#13133185	C₂²	semidirect
201. #120×D₅₃	C₂²	semidirect
202. #16811104	C₂²	semidirect
203. #16811102	C₂²	semidirect
204. #16811098	C₂²	semidirect
205. #16811098	C₂²	semidirect
206. #16811098	C₂²	semidirect
207. #16811096	C₂²	semidirect
208. #16811096	C₂²	semidirect
209. #16811096	C₂²	semidirect
210. #16811095	C₂²	semidirect
211. C₂×#13133179	C₂²	semidirect
212. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
213. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
214. C₂×#13133177	C₂²	semidirect
215. C₂×#13133176	C₂²	semidirect
216. C₂×#13133173	C₂²	semidirect
217. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
218. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
219. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
220. C₂×H(5,𝔽₂)×C₅₃	C₂²	semidirect
221. C₂²×#41×C₅₃	C₂²	semidirect
222. C₅₃×#547	C₂²	semidirect
223. C₅₃×#547	C₂²	semidirect
224. C₅₃×#546	C₂²	semidirect
225. C₅₃×#546	C₂²	semidirect
226. C₅₃×#536	C₂²	semidirect
228. C₅₃×#534	C₂²	semidirect
229. C₅₃×#534	C₂²	semidirect
230. C₅₃×#525	C₂²	semidirect
231. C₂×#123×C₅₃	C₂²	semidirect
232. C₂×#123×C₅₃	C₂²	semidirect
233. C₂×#123×C₅₃	C₂²	semidirect
234. C₅₃×#518	C₂²	semidirect
245. C₂×#11719947	C₂³	semidirect
246. C₂²×Dic₁₀₆	C₂³	semidirect
257. C₂²×C₂²⋊D₅₃	C₂³	semidirect
265. C₂³×Dic₅₃	C₂³	semidirect
275. C₂²×C₄×D₅₃	C₂³	semidirect
276. #13133216	C₂³	semidirect
277. #13133215	C₂³	semidirect
278. #13133215	C₂³	semidirect
281. #13133212	C₂³	semidirect
282. #13133212	C₂³	semidirect
283. #13133212	C₂³	semidirect
284. #13133212	C₂³	semidirect
285. #13133212	C₂³	semidirect
286. #13133212	C₂³	semidirect
287. #13133212	C₂³	semidirect
288. #13133212	C₂³	semidirect
289. #13133211	C₂³	semidirect
290. #13133211	C₂³	semidirect
291. #13133210	C₂³	semidirect
292. #13133210	C₂³	semidirect
293. #13133210	C₂³	semidirect
294. #13133210	C₂³	semidirect
295. #13133210	C₂³	semidirect
296. #13133210	C₂³	semidirect
297. #13133210	C₂³	semidirect
298. #13133210	C₂³	semidirect
299. #13133210	C₂³	semidirect
300. #13133210	C₂³	semidirect
301. #13133209	C₂³	semidirect
302. #13133208	C₂³	semidirect
303. #13133208	C₂³	semidirect
304. #13133208	C₂³	semidirect
305. #13133207	C₂³	semidirect
306. #13133207	C₂³	semidirect
307. #13133207	C₂³	semidirect
308. #13133207	C₂³	semidirect
309. #13133207	C₂³	semidirect
310. #13133207	C₂³	semidirect
311. #13133207	C₂³	semidirect
312. #13133207	C₂³	semidirect
314. #13133206	C₂³	semidirect
315. #13133205	C₂³	semidirect
316. #13133204	C₂³	semidirect
317. #13133204	C₂³	semidirect
319. #13133203	C₂³	semidirect
320. #13133203	C₂³	semidirect
321. #13133203	C₂³	semidirect
322. #13133203	C₂³	semidirect
323. #13133203	C₂³	semidirect
324. #13133203	C₂³	semidirect
325. #13133203	C₂³	semidirect
332. #13133202	C₂³	semidirect
333. #13133202	C₂³	semidirect
337. #13133201	C₂³	semidirect
338. #13133201	C₂³	semidirect
339. #13133201	C₂³	semidirect
340. #13133201	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
355. #13133200	C₂³	semidirect
356. #13133200	C₂³	semidirect
364. #13133199	C₂³	semidirect
365. #13133199	C₂³	semidirect
366. #13133199	C₂³	semidirect
367. #13133199	C₂³	semidirect
368. #13133199	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
388. #13133197	C₂³	semidirect
389. #13133197	C₂³	semidirect
391. #13133196	C₂³	semidirect
392. #13133196	C₂³	semidirect
393. #13133196	C₂³	semidirect
394. #13133196	C₂³	semidirect
395. #13133196	C₂³	semidirect
400. #13133195	C₂³	semidirect
401. #13133195	C₂³	semidirect
402. #13133195	C₂³	semidirect
403. #13133195	C₂³	semidirect
405. #13133194	C₂³	semidirect
406. #13133194	C₂³	semidirect
407. #13133194	C₂³	semidirect
408. #13133194	C₂³	semidirect
409. #13133194	C₂³	semidirect
410. #13133194	C₂³	semidirect
411. #13133194	C₂³	semidirect
412. #13133194	C₂³	semidirect
413. #13133194	C₂³	semidirect
417. #13133193	C₂³	semidirect
418. #13133193	C₂³	semidirect
419. #13133193	C₂³	semidirect
420. #13133193	C₂³	semidirect
421. #13133193	C₂³	semidirect
425. #13133191	C₂³	semidirect
426. #13133191	C₂³	semidirect
433. #13133190	C₂³	semidirect
434. #13133190	C₂³	semidirect
435. #13133190	C₂³	semidirect
436. #13133190	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
455. #13133188	C₂³	semidirect
456. #13133188	C₂³	semidirect
457. #13133188	C₂³	semidirect
458. #13133188	C₂³	semidirect
468. #13133186	C₂³	semidirect
469. #13133186	C₂³	semidirect
485. #13133185	C₂³	semidirect
486. #13133185	C₂³	semidirect
487. #13133185	C₂³	semidirect
488. C₄×Dic₁₀₆	C₂³	semidirect
489. #13133182	C₂³	semidirect
490. #13133182	C₂³	semidirect
491. #13133182	C₂³	semidirect
497. D₄×Dic₅₃	C₂³	semidirect
498. D₄×Dic₅₃	C₂³	semidirect
499. D₄×Dic₅₃	C₂³	semidirect
500. D₄×Dic₅₃	C₂³	semidirect
504. #13133179	C₂³	semidirect
505. #13133179	C₂³	semidirect
515. C₄×C₂²⋊D₅₃	C₂³	semidirect
516. C₄×C₂²⋊D₅₃	C₂³	semidirect
517. C₄×C₂²⋊D₅₃	C₂³	semidirect
518. C₄×C₂²⋊D₅₃	C₂³	semidirect
519. C₄×C₂²⋊D₅₃	C₂³	semidirect
520. C₄×C₂²⋊D₅₃	C₂³	semidirect
521. C₄×C₂²⋊D₅₃	C₂³	semidirect
522. C₄×C₂²⋊D₅₃	C₂³	semidirect
523. C₄×C₂²⋊D₅₃	C₂³	semidirect
530. #13133177	C₂³	semidirect
531. #13133177	C₂³	semidirect
532. #13133177	C₂³	semidirect
533. #13133177	C₂³	semidirect
534. #13133177	C₂³	semidirect
535. #13133177	C₂³	semidirect
538. #13133176	C₂³	semidirect
539. #13133176	C₂³	semidirect
540. #13133176	C₂³	semidirect
541. #13133176	C₂³	semidirect
543. #13133175	C₂³	semidirect
544. #13133175	C₂³	semidirect
546. #13133174	C₂³	semidirect
549. #13133173	C₂³	semidirect
550. #13133173	C₂³	semidirect
551. #13133173	C₂³	semidirect
552. #13133173	C₂³	semidirect
553. #13133173	C₂³	semidirect
554. #13133173	C₂³	semidirect
556. C₂×C₄⋊Dic₅₃	C₂³	semidirect
559. C₂×#11719919	C₂³	semidirect
560. C₂×#11719919	C₂³	semidirect
561. C₂×#11719919	C₂³	semidirect
562. C₂×#11719919	C₂³	semidirect
563. C₂×#11719919	C₂³	semidirect
564. C₂×#11719919	C₂³	semidirect
569. C₄⋊C₄×D₅₃	C₂³	semidirect
576. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
577. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
578. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
579. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
580. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
589. C₂×#11719921	C₂³	semidirect
590. C₂×#11719921	C₂³	semidirect
599. C₂²⋊C₄×D₅₃	C₂³	semidirect
600. C₂²⋊C₄×D₅₃	C₂³	semidirect
601. C₂×C₄×Dic₅₃	C₂³	semidirect
602. C₂×C₄×Dic₅₃	C₂³	semidirect
609. C₂×#41×C₅₃	C₂³	semidirect
610. C₂²×Q₈×C₅₃	C₂³	semidirect
618. C₂²×D₄×C₅₃	C₂³	semidirect
620. C₂³×C₄×C₅₃	C₂³	semidirect
621. C₂³×C₄×C₅₃	C₂³	semidirect
622. C₄⋊Q₈×C₅₃	C₂³	semidirect
623. #124×C₅₃	C₂³	semidirect
630. #123×C₅₃	C₂³	semidirect
631. #123×C₅₃	C₂³	semidirect
632. #123×C₅₃	C₂³	semidirect
633. #123×C₅₃	C₂³	semidirect
634. #123×C₅₃	C₂³	semidirect
635. #123×C₅₃	C₂³	semidirect
636. #123×C₅₃	C₂³	semidirect
637. C₂²⋊Q₈×C₅₃	C₂³	semidirect
638. C₂²⋊Q₈×C₅₃	C₂³	semidirect
639. C₂²⋊Q₈×C₅₃	C₂³	semidirect
642. #121×C₅₃	C₂³	semidirect
643. #121×C₅₃	C₂³	semidirect
644. #121×C₅₃	C₂³	semidirect
647. #120×C₅₃	C₂³	semidirect
648. #120×C₅₃	C₂³	semidirect
649. #120×C₅₃	C₂³	semidirect
651. C₄×D₄×C₅₃	C₂³	semidirect
652. C₄×D₄×C₅₃	C₂³	semidirect
653. C₄×D₄×C₅₃	C₂³	semidirect
654. #117×C₅₃	C₂³	semidirect
656. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
657. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
661. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
662. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
663. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
1153. #3485	D₅₃	semidirect
1173. C₂×H(5,𝔽₂)	C₂×D₅₃	semidirect
1175. C₂²×#41	C₂×D₅₃	semidirect
1232. #547	C₂×D₅₃	semidirect
1233. #547	C₂×D₅₃	semidirect
1252. #546	C₂×D₅₃	semidirect
1253. #546	C₂×D₅₃	semidirect
1296. #536	C₂×D₅₃	semidirect
1310. #534	C₂×D₅₃	semidirect
1311. #534	C₂×D₅₃	semidirect
1331. #525	C₂×D₅₃	semidirect
1347. C₂×#123	C₂×D₅₃	semidirect
1348. C₂×#123	C₂×D₅₃	semidirect
1349. C₂×#123	C₂×D₅₃	semidirect
1369. #518	C₂×D₅₃	semidirect
1379. C₅₃	#62820	semidirect
1397. C₂×#41	C₂²×D₅₃	semidirect
1399. C₂²×Q₈	C₂²×D₅₃	semidirect
1424. C₂²×D₄	C₂²×D₅₃	semidirect
1438. C₂³×C₄	C₂²×D₅₃	semidirect
1439. C₂³×C₄	C₂²×D₅₃	semidirect
1443. C₄⋊Q₈	C₂²×D₅₃	semidirect
1491. #124	C₂²×D₅₃	semidirect
1559. #123	C₂²×D₅₃	semidirect
1560. #123	C₂²×D₅₃	semidirect
1561. #123	C₂²×D₅₃	semidirect
1562. #123	C₂²×D₅₃	semidirect
1563. #123	C₂²×D₅₃	semidirect
1564. #123	C₂²×D₅₃	semidirect
1565. #123	C₂²×D₅₃	semidirect
1601. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1602. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1603. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1643. #121	C₂²×D₅₃	semidirect
1644. #121	C₂²×D₅₃	semidirect
1645. #121	C₂²×D₅₃	semidirect
1677. #120	C₂²×D₅₃	semidirect
1678. #120	C₂²×D₅₃	semidirect
1679. #120	C₂²×D₅₃	semidirect
1729. C₄×D₄	C₂²×D₅₃	semidirect
1730. C₄×D₄	C₂²×D₅₃	semidirect
1731. C₄×D₄	C₂²×D₅₃	semidirect
1751. #117	C₂²×D₅₃	semidirect
1768. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1769. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
1804. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1805. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
1806. 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
#20288916	2
#20288914	2
#20288897	2
#20288895	2
#20288885	2
#20288874	2
#20288650	2
#20288648	2
#20288647	2
#20288641	2
#20288417	2
#20288412	2
#20288411	2
#20288408	2
#20288403	2
#20288400	2
#20288397	2
#20288359	2
#20288356	2
#20288355	2
#20288347	2
#20288346	2
C₂×#16811131	2
C₂×#16811130	2
C₂×#123×D₅₃	2
C₅₃×#3485	2
#62820	53