Subgroups — #28293337

Order 13568.

7466 conjugacy classes of subgroups.

The subgroup lattice has 2162 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20289259	C₂	1	4	yes	maximal, complemented
2	#20289255	C₂	1	4	yes	maximal, complemented
3	#20289229	C₂	1	4	yes	maximal, complemented
4	#20289225	C₂	1	4	yes	maximal, complemented
5	#20288946	C₂	1	4	yes	maximal, complemented
6	#20288945	C₂	1	4	yes	maximal, complemented
7	#20288900	C₂	1	4	yes	maximal, complemented
8	#20288893	C₂	1	4	yes	maximal, complemented
9	#20288888	C₂	1	2	yes	maximal, complemented
10	#20288879	C₂	1	4	yes	maximal, complemented
11	#20288876	C₂	1	2	yes	maximal, complemented
12	#20288870	C₂	1	4	yes	maximal, complemented
13	#20288869	C₂	1	2	yes	maximal, complemented
14	#20288867	C₂	1	2	yes	maximal, complemented
15	#20288552	C₂	1	2	yes	maximal, complemented
16	#20288545	C₂	1	2	yes	maximal, complemented
17	#20288476	C₂	1	2	yes	maximal, complemented
18	#20288474	C₂	1	2	yes	maximal, complemented
19	#20288350	C₂	1	1	yes	maximal, characteristic, complemented
20	#20288344	C₂	1	2	yes	maximal, complemented
21	C₂×#16811208	C₂	1	2	yes	maximal, complemented
22	C₂×#16811182	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13133262	C₂²	1	2	yes	complemented
25	C₂×#13133262	C₂²	1	1	yes	characteristic, complemented
26	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
27	#16811376	C₂²	1	2	yes	complemented
28	#16811374	C₂²	1	4	yes	complemented
29	#16811373	C₂²	1	2	yes	complemented
30	#16811369	C₂²	1	4	yes	complemented
31	#16811368	C₂²	1	4	yes	complemented
32	#16811368	C₂²	1	4	yes	complemented
33	#16811368	C₂²	1	4	yes	complemented
34	#16811366	C₂²	1	2	yes	complemented
35	#16811366	C₂²	1	4	yes	complemented
36	#16811365	C₂²	1	2	yes	complemented
37	#16811363	C₂²	1	2	yes	complemented
38	#16811362	C₂²	1	2	yes	complemented
39	#16811362	C₂²	1	4	yes	complemented
40	#16811362	C₂²	1	4	yes	complemented
41	#16811362	C₂²	1	4	yes	complemented
42	#16811361	C₂²	1	4	yes	complemented
43	#16811361	C₂²	1	4	yes	complemented
44	#16811361	C₂²	1	4	yes	complemented
45	#16811360	C₂²	1	2	yes	complemented
46	#16811360	C₂²	1	2	yes	complemented
47	#16811359	C₂²	1	2	yes	complemented
48	#16811357	C₂²	1	2	yes	complemented
49	#16811356	C₂²	1	4	yes	complemented
50	#16811325	C₂²	1	4	yes	complemented
51	#16811323	C₂²	1	4	yes	complemented
52	#16811322	C₂²	1	4	yes	complemented
53	#16811322	C₂²	1	4	yes	complemented
54	#16811322	C₂²	1	4	yes	complemented
55	#16811320	C₂²	1	4	yes	complemented
56	#16811319	C₂²	1	4	yes	complemented
57	#16811316	C₂²	1	4	yes	complemented
58	#16811316	C₂²	1	4	yes	complemented
59	#16811316	C₂²	1	4	yes	complemented
60	#16811310	C₂²	1	4	yes	complemented
61	#16811306	C₂²	1	4	yes	complemented
62	#16811304	C₂²	1	4	yes	complemented
63	#16811304	C₂²	1	2	yes	complemented
64	#16811303	C₂²	1	2	yes	complemented
65	#16811303	C₂²	1	2	yes	complemented
66	#16811302	C₂²	1	4	yes	complemented
67	#16811301	C₂²	1	2	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	#16811282	C₂²	1	4	yes	complemented
73	#16811279	C₂²	1	4	yes	complemented
74	#16811272	C₂²	1	4	yes	complemented
75	#16811272	C₂²	1	4	yes	complemented
76	#16811271	C₂²	1	4	yes	complemented
77	#16811271	C₂²	1	4	yes	complemented
78	#16811270	C₂²	1	4	yes	complemented
79	#16811267	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	#16811265	C₂²	1	4	yes	complemented
85	#16811265	C₂²	1	4	yes	complemented
86	#16811263	C₂²	1	4	yes	complemented
87	#16811263	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	#16811261	C₂²	1	4	yes	complemented
92	#16811261	C₂²	1	4	yes	complemented
93	#16811260	C₂²	1	4	yes	complemented
94	#16811260	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	#16811258	C₂²	1	2	yes	complemented
99	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
100	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
101	D₄×C₂²⋊D₅₃	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	#16811255	C₂²	1	4	yes	complemented
107	#16811255	C₂²	1	4	yes	complemented
108	#16811255	C₂²	1	4	yes	complemented
109	#16811255	C₂²	1	2	yes	complemented
110	#16811255	C₂²	1	4	yes	complemented
111	#16811243	C₂²	1	4	yes	complemented
112	#16811240	C₂²	1	4	yes	complemented
113	#16811238	C₂²	1	4	yes	complemented
114	#16811237	C₂²	1	4	yes	complemented
115	#16811227	C₂²	1	4	yes	complemented
116	#16811224	C₂²	1	4	yes	complemented
117	#16811223	C₂²	1	4	yes	complemented
118	#16811223	C₂²	1	4	yes	complemented
119	#16811219	C₂²	1	4	yes	complemented
120	#16811218	C₂²	1	4	yes	complemented
121	#16811217	C₂²	1	4	yes	complemented
122	#16811216	C₂²	1	4	yes	complemented
123	#16811215	C₂²	1	4	yes	complemented
124	#16811215	C₂²	1	4	yes	complemented
125	#16811211	C₂²	1	4	yes	complemented
126	#16811211	C₂²	1	4	yes	complemented
127	#16811209	C₂²	1	4	yes	complemented
128	#16811208	C₂²	1	4	yes	complemented
129	#16811208	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	#16811208	C₂²	1	4	yes	complemented
136	#16811208	C₂²	1	4	yes	complemented
137	#16811208	C₂²	1	4	yes	complemented
138	#16811208	C₂²	1	4	yes	complemented
139	#16811208	C₂²	1	4	yes	complemented
140	#16811207	C₂²	1	4	yes	complemented
141	#16811206	C₂²	1	4	yes	complemented
142	#16811206	C₂²	1	4	yes	complemented
143	#16811205	C₂²	1	4	yes	complemented
144	#16811205	C₂²	1	4	yes	complemented
145	#16811205	C₂²	1	4	yes	complemented
146	#16811205	C₂²	1	4	yes	complemented
147	#16811201	C₂²	1	4	yes	complemented
148	#16811200	C₂²	1	4	yes	complemented
149	#16811190	C₂²	1	2	yes	complemented
150	#16811190	C₂²	1	4	yes	complemented
151	#16811189	C₂²	1	4	yes	complemented
152	#16811188	C₂²	1	4	yes	complemented
153	#16811188	C₂²	1	4	yes	complemented
154	#16811186	C₂²	1	4	yes	complemented
155	#16811185	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	#16811182	C₂²	1	4	yes	complemented
160	#16811182	C₂²	1	4	yes	complemented
161	#16811182	C₂²	1	4	yes	complemented
162	#16811182	C₂²	1	4	yes	complemented
163	#16811182	C₂²	1	2	yes	complemented
164	#16811182	C₂²	1	2	yes	complemented
165	#16811182	C₂²	1	2	yes	complemented
166	#16811182	C₂²	1	4	yes	complemented
167	#16811182	C₂²	1	4	yes	complemented
168	#16811181	C₂²	1	4	yes	complemented
169	#16811181	C₂²	1	4	yes	complemented
170	#16811169	C₂²	1	4	yes	complemented
171	#16811168	C₂²	1	4	yes	complemented
172	#16811153	C₂²	1	4	yes	complemented
173	#16811150	C₂²	1	4	yes	complemented
174	C₂×#13133210	C₂²	1	2	yes	complemented
175	C₂×#13133210	C₂²	1	2	yes	complemented
176	C₂×#13133204	C₂²	1	2	yes	complemented
177	C₂×#13133203	C₂²	1	2	yes	complemented
178	#16811134	C₂²	1	2	yes	complemented
179	#16811132	C₂²	1	4	yes	complemented
180	#16811129	C₂²	1	4	yes	complemented
181	#16811129	C₂²	1	4	yes	complemented
182	C₂×#13133200	C₂²	1	2	yes	complemented
183	C₂×#13133199	C₂²	1	2	yes	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	C₂×#13133194	C₂²	1	2	yes	complemented
188	C₂×#13133189	C₂²	1	2	yes	complemented
189	C₂×#13133189	C₂²	1	2	yes	complemented
190	C₂×#13133189	C₂²	1	2	yes	complemented
191	C₂×#13133189	C₂²	1	2	yes	complemented
192	C₂×#13133189	C₂²	1	4	yes	complemented
193	C₂×#13133188	C₂²	1	2	yes	complemented
194	#121×D₅₃	C₂²	1	4	yes	complemented
195	C₂×#13133186	C₂²	1	2	yes	complemented
196	C₂×#13133186	C₂²	1	2	yes	complemented
197	C₂×#13133186	C₂²	1	2	yes	complemented
198	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
199	C₂×#13133185	C₂²	1	1	yes	characteristic, complemented
200	#120×D₅₃	C₂²	1	4	yes	complemented
201	#16811098	C₂²	1	1	yes	characteristic, complemented
202	#16811096	C₂²	1	2	yes	complemented
203	C₂×D₄×Dic₅₃	C₂²	1	2	yes	complemented
204	C₂×#13133177	C₂²	1	2	yes	complemented
205	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×H(5,𝔽₂)×C₅₃	C₂²	1	1	yes	characteristic, complemented
207	C₂³×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₅₃×#546	C₂²	1	4	yes	complemented
209	C₅₃×#546	C₂²	1	4	yes	complemented
210	D₄²×C₅₃	C₂²	1	4	yes	complemented
211	D₄²×C₅₃	C₂²	1	4	yes	complemented
212	C₅₃×#535	C₂²	1	2	yes	complemented
213	C₅₃×#534	C₂²	1	2	yes	complemented
214	C₅₃×#534	C₂²	1	2	yes	complemented
215	C₅₃×#525	C₂²	1	2	yes	complemented
216	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
217	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
218	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
220	#13133262	—	4	4	no	—
221	#13133262	—	4	8	no	—
222	C₂×#11719945	C₂³	1	2	yes	—
223	C₂×#11719945	C₂³	1	4	yes	complemented
224	C₂×#11719945	C₂³	1	4	yes	complemented
225	C₂×#11719947	C₂³	1	4	yes	—
226	C₂×#11719947	C₂³	1	4	yes	complemented
227	C₂×#11719947	C₂³	1	4	yes	complemented
228	C₂×#11719947	C₂³	1	4	yes	complemented
229	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
230	C₂²×C₂²⋊D₅₃	—	4	4	no	—
231	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
232	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
233	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
234	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
235	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
236	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
237	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
238	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
239	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
240	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
241	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
242	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
243	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
244	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
245	C₂×D₄×D₅₃	C₂³	1	4	yes	—
246	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
247	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
248	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
249	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
250	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
251	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
252	C₂³×Dic₅₃	C₂³	1	2	yes	—
253	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
254	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
255	#13133216	C₂³	1	4	yes	complemented
256	#13133215	C₂³	1	4	yes	complemented
257	#13133213	C₂³	1	4	yes	—
258	#13133213	C₂³	1	2	yes	—
259	#13133213	C₂³	1	4	yes	—
260	#13133213	C₂³	1	2	yes	—
261	#13133213	C₂³	1	4	yes	complemented
262	#13133213	C₂³	1	4	yes	complemented
263	#13133212	C₂³	1	4	yes	complemented
264	#13133212	C₂³	1	4	yes	complemented
265	#13133212	C₂³	1	4	yes	complemented
266	#13133212	C₂³	1	4	yes	complemented
267	#13133211	C₂³	1	4	yes	complemented
268	#13133211	C₂³	1	4	yes	complemented
269	#13133210	C₂³	1	4	yes	complemented
270	#13133210	C₂³	1	4	yes	complemented
271	#13133210	C₂³	1	4	yes	complemented
272	#13133210	C₂³	1	4	yes	complemented
273	#13133210	C₂³	1	4	yes	complemented
274	#13133210	C₂³	1	4	yes	complemented
275	#13133210	C₂³	1	4	yes	complemented
276	#13133210	C₂³	1	4	yes	complemented
277	#13133210	C₂³	1	4	yes	complemented
278	#13133210	C₂³	1	4	yes	complemented
279	#13133210	C₂³	1	4	yes	complemented
280	#13133210	C₂³	1	4	yes	complemented
281	#13133210	C₂³	1	4	yes	complemented
282	#13133210	C₂³	1	4	yes	complemented
283	#13133209	C₂³	1	4	yes	complemented
284	#13133208	C₂³	1	4	yes	complemented
285	#13133207	C₂³	1	4	yes	complemented
286	#13133207	C₂³	1	4	yes	complemented
287	#13133207	C₂³	1	4	yes	complemented
288	#13133207	C₂³	1	4	yes	complemented
289	#13133206	C₂³	1	4	yes	complemented
290	#13133205	C₂³	1	4	yes	complemented
291	#13133204	C₂³	1	2	yes	—
292	#13133204	C₂³	1	2	yes	—
293	#13133204	C₂³	1	4	yes	complemented
294	#13133204	C₂³	1	4	yes	complemented
295	#13133204	C₂³	1	4	yes	complemented
296	#13133204	C₂³	1	4	yes	complemented
297	#13133204	C₂³	1	4	yes	complemented
298	#13133204	C₂³	1	4	yes	complemented
299	#13133203	C₂³	1	4	yes	—
300	#13133203	C₂³	1	4	yes	—
301	#13133203	C₂³	1	4	yes	complemented
302	#13133203	C₂³	1	4	yes	complemented
303	#13133203	C₂³	1	4	yes	complemented
304	#13133203	C₂³	1	4	yes	complemented
305	#13133203	C₂³	1	4	yes	complemented
306	#13133203	C₂³	1	4	yes	complemented
307	#13133203	C₂³	1	4	yes	complemented
308	#13133203	C₂³	1	4	yes	complemented
309	#13133203	C₂³	1	4	yes	complemented
310	#13133203	C₂³	1	4	yes	complemented
311	#13133202	C₂³	1	4	yes	complemented
312	#13133202	C₂³	1	4	yes	complemented
313	#13133202	C₂³	1	4	yes	complemented
314	#13133202	C₂³	1	4	yes	complemented
315	#13133201	C₂³	1	4	yes	—
316	#13133201	C₂³	1	4	yes	complemented
317	#13133201	C₂³	1	4	yes	complemented
318	#13133201	C₂³	1	4	yes	complemented
319	#13133200	C₂³	1	4	yes	—
320	#13133200	C₂³	1	4	yes	—
321	#13133200	C₂³	1	4	yes	—
322	#13133200	C₂³	1	4	yes	—
323	#13133200	C₂³	1	4	yes	—
324	#13133200	C₂³	1	4	yes	complemented
325	#13133200	C₂³	1	4	yes	complemented
326	#13133200	C₂³	1	4	yes	complemented
327	#13133200	C₂³	1	4	yes	complemented
328	#13133200	C₂³	1	4	yes	complemented
329	#13133199	C₂³	1	4	yes	—
330	#13133199	C₂³	1	4	yes	—
331	#13133199	C₂³	1	4	yes	complemented
332	#13133199	C₂³	1	4	yes	complemented
333	#13133199	C₂³	1	4	yes	complemented
334	#13133199	C₂³	1	4	yes	complemented
335	#13133199	C₂³	1	4	yes	complemented
336	#13133199	C₂³	1	4	yes	complemented
337	#13133199	C₂³	1	4	yes	complemented
338	#13133199	C₂³	1	4	yes	complemented
339	#13133199	C₂³	1	4	yes	complemented
340	#13133199	C₂³	1	4	yes	complemented
341	#13133198	C₂³	1	2	yes	—
342	#13133198	C₂³	1	2	yes	—
343	#13133198	C₂³	1	4	yes	—
344	#13133198	C₂³	1	2	yes	—
345	#13133198	C₂³	1	2	yes	—
346	#13133198	C₂³	1	2	yes	—
347	#13133198	C₂³	1	2	yes	—
348	#13133198	C₂³	1	4	yes	—
349	#13133198	C₂³	1	4	yes	—
350	#13133198	C₂³	1	4	yes	complemented
351	#13133198	C₂³	1	4	yes	complemented
352	#13133198	C₂³	1	4	yes	complemented
353	#13133198	C₂³	1	4	yes	complemented
354	#13133198	C₂³	1	4	yes	complemented
355	#13133198	C₂³	1	4	yes	complemented
356	#13133198	C₂³	1	4	yes	complemented
357	#13133198	C₂³	1	4	yes	complemented
358	#13133198	C₂³	1	4	yes	complemented
359	#13133197	C₂³	1	4	yes	complemented
360	#13133196	C₂³	1	4	yes	complemented
361	#13133196	C₂³	1	4	yes	complemented
362	#13133196	C₂³	1	4	yes	complemented
363	#13133196	C₂³	1	4	yes	complemented
364	#13133195	C₂³	1	4	yes	complemented
365	#13133195	C₂³	1	4	yes	complemented
366	#13133195	C₂³	1	4	yes	complemented
367	#13133195	C₂³	1	4	yes	complemented
368	#13133194	C₂³	1	4	yes	—
369	#13133194	C₂³	1	4	yes	—
370	#13133194	C₂³	1	4	yes	complemented
371	#13133194	C₂³	1	4	yes	complemented
372	#13133194	C₂³	1	4	yes	complemented
373	#13133194	C₂³	1	4	yes	complemented
374	#13133194	C₂³	1	4	yes	complemented
375	#13133194	C₂³	1	4	yes	complemented
376	#13133194	C₂³	1	4	yes	complemented
377	#13133194	C₂³	1	4	yes	complemented
378	#13133193	C₂³	1	4	yes	complemented
379	#13133193	C₂³	1	4	yes	complemented
380	#13133192	C₂³	1	4	yes	complemented
381	#13133191	C₂³	1	4	yes	complemented
382	#13133191	C₂³	1	4	yes	complemented
383	#13133191	C₂³	1	4	yes	complemented
384	#13133191	C₂³	1	4	yes	complemented
385	#13133191	C₂³	1	4	yes	complemented
386	#13133191	C₂³	1	4	yes	complemented
387	#13133190	C₂³	1	4	yes	—
388	#13133190	C₂³	1	4	yes	—
389	#13133190	C₂³	1	4	yes	—
390	#13133190	C₂³	1	4	yes	—
391	#13133190	C₂³	1	4	yes	complemented
392	#13133190	C₂³	1	4	yes	complemented
393	#13133190	C₂³	1	4	yes	complemented
394	#13133190	C₂³	1	4	yes	complemented
395	#13133190	C₂³	1	4	yes	complemented
396	#13133190	C₂³	1	4	yes	complemented
397	#13133189	C₂³	1	4	yes	—
398	#13133189	C₂³	1	4	yes	—
399	#13133189	C₂³	1	4	yes	—
400	#13133189	C₂³	1	4	yes	—
401	#13133189	C₂³	1	4	yes	—
402	#13133189	C₂³	1	4	yes	—
403	#13133189	C₂³	1	4	yes	—
404	#13133189	C₂³	1	4	yes	—
405	#13133189	C₂³	1	4	yes	—
406	#13133189	C₂³	1	4	yes	—
407	#13133189	C₂³	1	4	yes	—
408	#13133189	C₂³	1	4	yes	—
409	#13133189	C₂³	1	4	yes	—
410	#13133189	C₂³	1	4	yes	—
411	#13133189	C₂³	1	4	yes	complemented
412	#13133189	C₂³	1	4	yes	complemented
413	#13133189	C₂³	1	4	yes	complemented
414	#13133189	C₂³	1	4	yes	complemented
415	#13133189	C₂³	1	4	yes	complemented
416	#13133189	C₂³	1	4	yes	complemented
417	#13133189	C₂³	1	4	yes	complemented
418	#13133189	C₂³	1	4	yes	complemented
419	#13133189	C₂³	1	4	yes	complemented
420	#13133189	C₂³	1	4	yes	complemented
421	#13133189	C₂³	1	4	yes	complemented
422	#13133189	C₂³	1	4	yes	complemented
423	#13133189	C₂³	1	4	yes	complemented
424	#13133189	C₂³	1	4	yes	complemented
425	#13133189	C₂³	1	4	yes	complemented
426	#13133189	C₂³	1	4	yes	complemented
427	#13133189	C₂³	1	4	yes	complemented
428	#13133189	C₂³	1	4	yes	complemented
429	#13133189	C₂³	1	4	yes	complemented
430	#13133189	C₂³	1	4	yes	complemented
431	#13133188	C₂³	1	4	yes	—
432	#13133188	C₂³	1	4	yes	—
433	#13133188	C₂³	1	4	yes	—
434	#13133188	C₂³	1	4	yes	—
435	#13133188	C₂³	1	4	yes	complemented
436	#13133188	C₂³	1	4	yes	complemented
437	#13133188	C₂³	1	4	yes	complemented
438	#13133188	C₂³	1	4	yes	complemented
439	#13133188	C₂³	1	4	yes	complemented
440	#13133188	C₂³	1	4	yes	complemented
441	#13133188	C₂³	1	4	yes	complemented
442	#13133188	C₂³	1	4	yes	complemented
443	#13133187	C₂³	1	4	yes	—
444	#13133187	C₂³	1	4	yes	complemented
445	#13133187	C₂³	1	4	yes	complemented
446	#13133187	C₂³	1	4	yes	complemented
447	#13133187	C₂³	1	4	yes	complemented
448	#13133187	C₂³	1	4	yes	complemented
449	#13133186	C₂³	1	4	yes	—
450	#13133186	C₂³	1	4	yes	—
451	#13133186	C₂³	1	4	yes	—
452	#13133186	C₂³	1	4	yes	—
453	#13133186	C₂³	1	4	yes	—
454	#13133186	C₂³	1	4	yes	—
455	#13133186	C₂³	1	4	yes	—
456	#13133186	C₂³	1	4	yes	—
457	#13133186	C₂³	1	4	yes	—
458	#13133186	C₂³	1	4	yes	complemented
459	#13133186	C₂³	1	4	yes	complemented
460	#13133186	C₂³	1	4	yes	complemented
461	#13133186	C₂³	1	4	yes	complemented
462	#13133186	C₂³	1	4	yes	complemented
463	#13133185	C₂³	1	2	yes	—
464	#13133185	C₂³	1	4	yes	—
465	#13133185	C₂³	1	2	yes	—
466	#13133185	C₂³	1	4	yes	—
467	#13133185	C₂³	1	2	yes	—
468	#13133185	C₂³	1	2	yes	—
469	#13133185	C₂³	1	2	yes	—
470	#13133185	C₂³	1	4	yes	—
471	#13133185	C₂³	1	4	yes	—
472	#13133185	C₂³	1	2	yes	—
473	#13133185	C₂³	1	4	yes	—
474	#13133185	C₂³	1	4	yes	complemented
475	#13133185	C₂³	1	4	yes	complemented
476	#13133185	C₂³	1	4	yes	complemented
477	#13133185	C₂³	1	4	yes	complemented
478	#13133185	C₂³	1	4	yes	complemented
479	#13133185	C₂³	1	4	yes	complemented
480	#13133185	C₂³	1	4	yes	complemented
481	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
482	#13133182	C₂³	1	4	yes	complemented
483	C₄×D₂₁₂	C₂³	1	4	yes	complemented
484	D₄×Dic₅₃	C₂³	1	4	yes	—
485	D₄×Dic₅₃	C₂³	1	4	yes	—
486	D₄×Dic₅₃	C₂³	1	4	yes	complemented
487	D₄×Dic₅₃	C₂³	1	4	yes	complemented
488	D₄×Dic₅₃	C₂³	1	4	yes	complemented
489	D₄×Dic₅₃	C₂³	1	4	yes	complemented
490	D₄×Dic₅₃	C₂³	1	4	yes	complemented
491	D₄×Dic₅₃	C₂³	1	4	yes	complemented
492	D₄×Dic₅₃	C₂³	1	4	yes	complemented
493	D₄×Dic₅₃	C₂³	1	4	yes	complemented
494	#13133179	C₂³	1	4	yes	complemented
495	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
496	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
497	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
498	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
499	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
500	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
501	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
502	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
503	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
504	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
505	#13133177	C₂³	1	4	yes	—
506	#13133177	C₂³	1	4	yes	—
507	#13133177	C₂³	1	4	yes	complemented
508	#13133177	C₂³	1	4	yes	complemented
509	#13133177	C₂³	1	4	yes	complemented
510	#13133177	C₂³	1	4	yes	complemented
511	#13133177	C₂³	1	4	yes	complemented
512	#13133177	C₂³	1	4	yes	complemented
513	#13133177	C₂³	1	4	yes	complemented
514	#13133177	C₂³	1	4	yes	complemented
515	#13133177	C₂³	1	4	yes	complemented
516	#13133177	C₂³	1	4	yes	complemented
517	#13133176	C₂³	1	2	yes	—
518	#13133176	C₂³	1	4	yes	complemented
519	#13133175	C₂³	1	4	yes	complemented
520	#13133174	C₂³	1	4	yes	complemented
521	#13133174	C₂³	1	4	yes	complemented
522	#13133173	C₂³	1	4	yes	—
523	#13133173	C₂³	1	4	yes	complemented
524	#13133173	C₂³	1	4	yes	complemented
525	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
526	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
527	C₂×#11719919	C₂³	1	2	yes	—
528	C₂×#11719919	C₂³	1	2	yes	—
529	C₂×#11719919	C₂³	1	2	yes	complemented
530	C₂×#11719919	C₂³	1	4	yes	complemented
531	C₂×#11719919	C₂³	1	2	yes	complemented
532	C₂×#11719919	C₂³	1	2	yes	complemented
533	C₂×#11719919	C₂³	1	2	yes	complemented
534	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
535	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
536	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
537	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
538	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
539	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
540	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
541	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
542	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
543	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
544	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
545	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
546	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
547	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
548	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
549	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
550	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
551	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
552	C₂×#11719921	C₂³	1	2	yes	—
553	C₂×#11719921	C₂³	1	2	yes	—
554	C₂×#11719921	C₂³	1	2	yes	complemented
555	C₂×#11719921	C₂³	1	4	yes	complemented
556	C₂×#11719921	C₂³	1	2	yes	complemented
557	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
558	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
559	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
560	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
561	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
562	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
563	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
564	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
565	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
566	H(5,𝔽₂)×C₅₃	—	4	4	no	—
567	C₂×#41×C₅₃	C₂³	1	2	yes	—
568	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
569	C₂²×D₄×C₅₃	—	4	4	no	—
570	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
571	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
572	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
573	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
574	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
575	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
576	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
577	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
578	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
579	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
580	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
581	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
582	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
583	#127×C₅₃	C₂³	1	2	yes	—
584	#127×C₅₃	C₂³	1	2	yes	—
585	#124×C₅₃	C₂³	1	2	yes	—
586	#124×C₅₃	C₂³	1	2	yes	—
587	#123×C₅₃	C₂³	1	4	yes	—
588	#123×C₅₃	C₂³	1	2	yes	—
589	#123×C₅₃	C₂³	1	2	yes	—
590	#123×C₅₃	C₂³	1	4	yes	complemented
591	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
592	#121×C₅₃	C₂³	1	4	yes	—
593	#121×C₅₃	C₂³	1	4	yes	—
594	#121×C₅₃	C₂³	1	4	yes	—
595	#121×C₅₃	C₂³	1	4	yes	—
596	#121×C₅₃	C₂³	1	4	yes	complemented
597	#121×C₅₃	C₂³	1	4	yes	complemented
598	#121×C₅₃	C₂³	1	4	yes	complemented
599	#120×C₅₃	C₂³	1	4	yes	—
600	#120×C₅₃	C₂³	1	4	yes	—
601	#120×C₅₃	C₂³	1	4	yes	—
602	#120×C₅₃	C₂³	1	4	yes	—
603	#120×C₅₃	C₂³	1	4	yes	—
604	#120×C₅₃	C₂³	1	2	yes	—
605	#120×C₅₃	C₂³	1	2	yes	—
606	#120×C₅₃	C₂³	1	4	yes	complemented
607	#120×C₅₃	C₂³	1	4	yes	complemented
608	#120×C₅₃	C₂³	1	4	yes	complemented
609	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
610	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
611	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
612	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
613	#117×C₅₃	C₂³	1	2	yes	—
614	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
615	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
616	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
617	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
618	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
619	C₂⁴×C₅₃	—	2	4	no	—
620	C₂⁴×C₅₃	—	4	2	no	—
621	C₂⁴×C₅₃	—	8	2	no	—
622	C₂⁴×C₅₃	—	8	2	no	—
623	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
624	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
625	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
626	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
627	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
628	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
629	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
630	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
631	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
632	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
633	C₂³×D₅₃	—	4	2	no	—
634	C₂³×D₅₃	—	8	2	no	—
635	C₂³×D₅₃	C₂⁴	1	2	yes	—
636	C₂³×D₅₃	C₂⁴	1	2	yes	—
637	C₂³×D₅₃	C₂⁴	1	2	yes	—
638	C₂³×D₅₃	C₂⁴	1	2	yes	—
639	C₂³×D₅₃	C₂⁴	1	2	yes	—
640	C₂³×D₅₃	C₂⁴	1	4	yes	—
641	#41×C₅₃	—	4	4	no	—
642	#41×C₅₃	—	4	8	no	—
643	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
644	C₂×D₄×C₅₃	—	2	4	no	—
645	C₂×D₄×C₅₃	—	2	4	no	—
646	C₂×D₄×C₅₃	—	2	8	no	—
647	C₂×D₄×C₅₃	—	4	2	no	—
648	C₂×D₄×C₅₃	—	4	2	no	—
649	C₂×D₄×C₅₃	—	4	8	no	—
650	C₂×D₄×C₅₃	—	4	8	no	—
651	C₂×D₄×C₅₃	—	4	4	no	—
652	C₂×D₄×C₅₃	—	4	8	no	—
653	C₂×D₄×C₅₃	—	8	2	no	—
654	C₂×D₄×C₅₃	—	8	2	no	—
655	C₂×D₄×C₅₃	—	8	4	no	—
656	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
657	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
658	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
659	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
660	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
661	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
662	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
663	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
664	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
665	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
666	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
667	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
668	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
669	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
670	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
671	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
672	C₂²×C₄×C₅₃	—	4	2	no	—
673	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
674	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
677	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
678	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
679	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
680	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
681	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
682	C₂×C₂²⋊D₅₃	—	2	8	no	—
683	C₂×C₂²⋊D₅₃	—	2	8	no	—
684	C₂×C₂²⋊D₅₃	—	4	4	no	—
685	C₂×C₂²⋊D₅₃	—	4	8	no	—
686	C₂×C₂²⋊D₅₃	—	4	8	no	—
687	C₂×C₂²⋊D₅₃	—	4	4	no	—
688	C₂×C₂²⋊D₅₃	—	4	8	no	—
689	C₂×C₂²⋊D₅₃	—	8	2	no	—
690	C₂×C₂²⋊D₅₃	—	8	2	no	—
691	C₂×C₂²⋊D₅₃	—	8	2	no	—
692	C₂×C₂²⋊D₅₃	—	8	2	no	—
693	C₂×C₂²⋊D₅₃	—	8	4	no	—
694	C₂×C₂²⋊D₅₃	—	8	2	no	—
695	C₂×C₂²⋊D₅₃	—	8	4	no	—
696	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
697	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
698	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
699	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
700	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
701	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
702	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
703	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
704	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
705	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
706	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
707	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
708	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
709	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
710	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
711	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
712	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
713	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
714	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
715	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
716	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
717	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
718	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
719	C₂²×Dic₅₃	—	4	2	no	—
720	C₂²×Dic₅₃	—	8	2	no	—
721	C₂²×Dic₅₃	—	8	2	no	—
722	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
723	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
724	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
725	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
726	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
727	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
728	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
729	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
730	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
731	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
732	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
733	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
734	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
735	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
736	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
737	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
738	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
739	#11719947	—	4	8	no	—
740	#11719947	—	4	8	no	—
741	#11719947	—	4	8	no	—
742	#11719947	—	8	4	no	—
743	D₄×D₅₃	—	4	8	no	—
744	D₄×D₅₃	—	4	8	no	—
745	D₄×D₅₃	—	4	8	no	—
746	D₄×D₅₃	—	8	4	no	—
747	D₄×D₅₃	—	8	4	no	—
748	D₄×D₅₃	—	8	4	no	—
749	#11719945	—	4	4	no	—
750	#11719945	—	4	8	no	—
751	#11719945	—	8	4	no	—
752	C₂×D₂₁₂	C₂⁴	1	4	yes	—
753	C₂×D₂₁₂	C₂⁴	1	4	yes	—
754	C₂×D₂₁₂	C₂⁴	1	4	yes	—
755	C₂×D₂₁₂	C₂⁴	1	2	yes	—
756	C₂×C₄×D₅₃	—	8	2	no	—
757	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
758	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
759	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
760	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
761	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
762	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
763	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
764	C₂×Dic₁₀₆	—	8	2	no	—
765	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
766	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
767	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
768	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
769	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
770	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
771	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
772	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
773	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
774	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
778	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
781	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
782	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
783	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
784	C₄²×C₅₃	C₂⁴	1	2	yes	—
785	C₄²×C₅₃	C₂⁴	1	2	yes	—
786	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
787	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
788	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
789	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
790	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
791	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
792	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
793	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
794	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
795	C₂²⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
807	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
808	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
809	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
810	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
811	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
812	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
813	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
814	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
815	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
816	#11719921	C₂⁴	1	4	yes	—
817	#11719921	C₂⁴	1	4	yes	—
818	#11719921	C₂⁴	1	4	yes	—
819	#11719921	C₂⁴	1	4	yes	—
820	#11719921	C₂⁴	1	4	yes	—
821	#11719921	C₂⁴	1	4	yes	—
822	#11719921	C₂⁴	1	4	yes	—
823	#11719921	C₂⁴	1	4	yes	—
824	#11719921	C₂⁴	1	4	yes	—
825	#11719921	C₂⁴	1	4	yes	—
826	#11719921	C₂⁴	1	4	yes	—
827	#11719921	C₂⁴	1	4	yes	—
828	#11719921	C₂⁴	1	4	yes	—
829	#11719921	C₂⁴	1	4	yes	—
830	#11719921	C₂⁴	1	4	yes	—
831	#11719921	C₂⁴	1	4	yes	—
832	#11719921	C₂⁴	1	4	yes	—
833	#11719921	C₂⁴	1	4	yes	—
834	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
835	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
836	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
837	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
838	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
839	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
840	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
841	#11719919	C₂⁴	1	4	yes	—
842	#11719919	C₂⁴	1	4	yes	—
843	#11719919	C₂⁴	1	4	yes	—
844	#11719919	C₂⁴	1	4	yes	—
845	#11719919	C₂⁴	1	4	yes	—
846	#11719919	C₂⁴	1	4	yes	—
847	#11719919	C₂⁴	1	4	yes	—
848	#11719919	C₂⁴	1	4	yes	—
849	#11719919	C₂⁴	1	4	yes	—
850	#11719919	C₂⁴	1	4	yes	—
851	#11719919	C₂⁴	1	4	yes	—
852	#11719919	C₂⁴	1	4	yes	—
853	#11719919	C₂⁴	1	4	yes	—
854	#11719919	C₂⁴	1	4	yes	—
855	#11719919	C₂⁴	1	4	yes	—
856	#11719919	C₂⁴	1	4	yes	—
857	#11719919	C₂⁴	1	4	yes	—
858	#11719919	C₂⁴	1	4	yes	—
859	C₄×Dic₅₃	C₂⁴	1	4	yes	—
860	C₄×Dic₅₃	C₂⁴	1	4	yes	—
861	C₄×Dic₅₃	C₂⁴	1	4	yes	—
862	C₄×Dic₅₃	C₂⁴	1	4	yes	—
863	C₄×Dic₅₃	C₂⁴	1	4	yes	—
864	C₄×Dic₅₃	C₂⁴	1	4	yes	—
865	C₄×Dic₅₃	C₂⁴	1	2	yes	—
866	C₄×Dic₅₃	C₂⁴	1	2	yes	—
867	C₂³×C₅₃	—	2	2	no	—
868	C₂³×C₅₃	—	2	2	no	—
869	C₂³×C₅₃	—	2	4	no	—
870	C₂³×C₅₃	—	2	2	no	—
871	C₂³×C₅₃	—	2	4	no	—
872	C₂³×C₅₃	—	2	4	no	—
873	C₂³×C₅₃	—	2	2	no	—
874	C₂³×C₅₃	—	4	2	no	—
875	C₂³×C₅₃	—	4	2	no	—
876	C₂³×C₅₃	—	4	2	no	—
877	C₂³×C₅₃	—	4	2	no	—
878	C₂³×C₅₃	—	4	2	no	—
879	C₂³×C₅₃	—	4	2	no	—
880	C₂³×C₅₃	—	4	2	no	—
881	C₂³×C₅₃	—	4	2	no	—
882	C₂³×C₅₃	—	4	2	no	—
883	C₂³×C₅₃	—	4	4	no	—
884	C₂³×C₅₃	—	4	4	no	—
885	C₂³×C₅₃	—	4	2	no	—
886	C₂³×C₅₃	—	4	2	no	—
887	C₂³×C₅₃	—	4	4	no	—
888	C₂³×C₅₃	—	4	4	no	—
889	C₂³×C₅₃	—	4	2	no	—
890	C₂³×C₅₃	—	8	8	no	—
891	C₂³×C₅₃	—	8	8	no	—
892	C₂³×C₅₃	H(5,𝔽₂)	1	4	yes	—
893	C₂³×C₅₃	C₂⁵	1	4	yes	—
894	C₂³×C₅₃	C₂⁵	1	2	yes	—
895	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
896	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
897	C₂³×C₅₃	C₂⁵	1	2	yes	—
898	C₂³×C₅₃	C₂⁵	1	2	yes	—
899	C₂³×C₅₃	C₂⁵	1	2	yes	—
900	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
901	C₂²×D₅₃	—	2	4	no	—
902	C₂²×D₅₃	—	2	4	no	—
903	C₂²×D₅₃	—	4	2	no	—
904	C₂²×D₅₃	—	4	4	no	—
905	C₂²×D₅₃	—	4	4	no	—
906	C₂²×D₅₃	—	4	2	no	—
907	C₂²×D₅₃	—	4	2	no	—
908	C₂²×D₅₃	—	4	2	no	—
909	C₂²×D₅₃	—	4	2	no	—
910	C₂²×D₅₃	—	4	2	no	—
911	C₂²×D₅₃	—	4	2	no	—
912	C₂²×D₅₃	—	4	4	no	—
913	C₂²×D₅₃	—	4	4	no	—
914	C₂²×D₅₃	—	4	4	no	—
915	C₂²×D₅₃	—	4	4	no	—
916	C₂²×D₅₃	—	8	8	no	—
917	C₂²×D₅₃	C₂⁵	1	4	yes	—
918	C₂²×D₅₃	C₂⁵	1	4	yes	—
919	Q₈×C₅₃	—	4	2	no	—
920	D₄×C₅₃	—	2	8	no	—
921	D₄×C₅₃	—	2	8	no	—
922	D₄×C₅₃	—	2	8	no	—
923	D₄×C₅₃	—	2	8	no	—
924	D₄×C₅₃	—	4	4	no	—
925	D₄×C₅₃	—	4	4	no	—
926	D₄×C₅₃	—	4	4	no	—
927	D₄×C₅₃	—	4	4	no	—
928	D₄×C₅₃	—	4	2	no	—
929	D₄×C₅₃	—	4	2	no	—
930	D₄×C₅₃	—	4	2	no	—
931	D₄×C₅₃	—	4	2	no	—
932	D₄×C₅₃	—	4	4	no	—
933	D₄×C₅₃	—	4	2	no	—
934	D₄×C₅₃	—	4	4	no	—
935	D₄×C₅₃	—	4	4	no	—
936	C₂×C₄×C₅₃	—	2	2	no	—
937	C₂×C₄×C₅₃	—	2	4	no	—
938	C₂×C₄×C₅₃	—	2	2	no	—
939	C₂×C₄×C₅₃	—	4	2	no	—
940	C₂×C₄×C₅₃	—	4	2	no	—
941	C₂×C₄×C₅₃	—	4	4	no	—
942	C₂×C₄×C₅₃	—	4	4	no	—
943	C₂×C₄×C₅₃	—	4	2	no	—
944	C₂×C₄×C₅₃	—	4	4	no	—
945	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
946	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
947	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
948	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
949	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
950	C₂²⋊D₅₃	—	2	8	no	—
951	C₂²⋊D₅₃	—	2	8	no	—
952	C₂²⋊D₅₃	—	2	8	no	—
953	C₂²⋊D₅₃	—	2	8	no	—
954	C₂²⋊D₅₃	—	4	4	no	—
955	C₂²⋊D₅₃	—	4	4	no	—
956	C₂²⋊D₅₃	—	4	4	no	—
957	C₂²⋊D₅₃	—	4	4	no	—
958	C₂²⋊D₅₃	—	4	4	no	—
959	C₂²⋊D₅₃	—	4	4	no	—
960	C₂²⋊D₅₃	—	4	4	no	—
961	C₂²⋊D₅₃	—	4	4	no	—
962	C₂²⋊D₅₃	—	4	4	no	—
963	C₂²⋊D₅₃	—	4	4	no	—
964	C₂²⋊D₅₃	—	4	4	no	—
965	C₂²⋊D₅₃	—	4	4	no	—
966	C₂²⋊D₅₃	—	4	4	no	—
967	C₂²⋊D₅₃	—	4	4	no	—
968	C₂²⋊D₅₃	—	4	4	no	—
969	C₂²⋊D₅₃	—	4	4	no	—
970	C₂²⋊D₅₃	—	4	4	no	—
971	C₂²⋊D₅₃	—	4	4	no	—
972	C₂²⋊D₅₃	—	4	4	no	—
973	C₂×Dic₅₃	—	2	4	no	—
974	C₂×Dic₅₃	—	2	4	no	—
975	C₂×Dic₅₃	—	4	2	no	—
976	C₂×Dic₅₃	—	4	2	no	—
977	C₂×Dic₅₃	—	4	2	no	—
978	C₂×Dic₅₃	—	4	2	no	—
979	C₂×Dic₅₃	—	4	4	no	—
980	C₂×Dic₅₃	—	4	4	no	—
981	C₂×Dic₅₃	—	4	4	no	—
982	C₂×Dic₅₃	—	4	2	no	—
983	C₂×Dic₅₃	—	4	2	no	—
984	C₂×Dic₅₃	—	4	2	no	—
985	C₂×Dic₅₃	—	4	2	no	—
986	C₂×Dic₅₃	—	4	2	no	—
987	C₂×Dic₅₃	—	4	2	no	—
988	C₂×Dic₅₃	—	4	2	no	—
989	C₂×Dic₅₃	—	4	4	no	—
990	C₂×Dic₅₃	C₂⁵	1	4	yes	—
991	C₂×Dic₅₃	C₂⁵	1	2	yes	—
992	C₂×Dic₅₃	C₂⁵	1	4	yes	—
993	C₂×Dic₅₃	C₂⁵	1	2	yes	—
994	C₂×Dic₅₃	C₂⁵	1	4	yes	—
995	C₂×Dic₅₃	C₂⁵	1	2	yes	—
996	C₂×Dic₅₃	C₂⁵	1	4	yes	—
997	C₂×Dic₅₃	C₂⁵	1	2	yes	—
998	D₂₁₂	—	4	2	no	—
999	D₂₁₂	—	4	4	no	—
1000	D₂₁₂	—	4	4	no	—
1001	D₂₁₂	—	4	4	no	—
1002	C₄×D₅₃	—	4	4	no	—
1003	C₄×D₅₃	—	4	4	no	—
1004	C₄×D₅₃	—	4	4	no	—
1005	C₄×D₅₃	—	4	4	no	—
1006	C₄×D₅₃	—	4	4	no	—
1007	C₄×D₅₃	—	4	4	no	—
1008	C₄×D₅₃	—	4	4	no	—
1009	Dic₁₀₆	—	4	4	no	—
1010	Dic₁₀₆	—	4	4	no	—
1011	Dic₁₀₆	—	4	2	no	—
1012	Dic₁₀₆	—	4	4	no	—
1013	#62863	—	53	1	no	maximal, Sylow
1014	C₂²×C₅₃	—	2	2	no	—
1015	C₂²×C₅₃	—	2	2	no	—
1016	C₂²×C₅₃	—	2	2	no	—
1017	C₂²×C₅₃	—	2	1	no	—
1018	C₂²×C₅₃	—	2	1	no	—
1019	C₂²×C₅₃	—	2	4	no	—
1020	C₂²×C₅₃	—	2	2	no	—
1021	C₂²×C₅₃	—	2	2	no	—
1022	C₂²×C₅₃	—	2	2	no	—
1023	C₂²×C₅₃	—	2	4	no	—
1024	C₂²×C₅₃	—	2	4	no	—
1025	C₂²×C₅₃	—	2	4	no	—
1026	C₂²×C₅₃	—	2	2	no	—
1027	C₂²×C₅₃	—	2	4	no	—
1028	C₂²×C₅₃	—	2	2	no	—
1029	C₂²×C₅₃	—	2	2	no	—
1030	C₂²×C₅₃	—	2	2	no	—
1031	C₂²×C₅₃	—	4	4	no	—
1032	C₂²×C₅₃	—	4	4	no	—
1033	C₂²×C₅₃	—	4	4	no	—
1034	C₂²×C₅₃	—	8	4	no	—
1035	C₂²×C₅₃	—	8	2	no	—
1036	C₂²×C₅₃	—	8	2	no	—
1037	C₂²×C₅₃	—	8	4	no	—
1038	C₂²×C₅₃	—	8	4	no	—
1039	C₂²×C₅₃	—	8	8	no	—
1040	C₂²×C₅₃	—	16	2	no	—
1041	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1042	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	4	yes	—
1043	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1044	C₂×D₅₃	—	2	4	no	—
1045	C₂×D₅₃	—	2	4	no	—
1046	C₂×D₅₃	—	2	4	no	—
1047	C₂×D₅₃	—	2	4	no	—
1048	C₂×D₅₃	—	2	4	no	—
1049	C₂×D₅₃	—	2	4	no	—
1050	C₂×D₅₃	—	8	4	no	—
1051	C₂×D₅₃	—	8	4	no	—
1052	C₂×D₅₃	—	8	4	no	—
1053	C₂×D₅₃	—	8	4	no	—
1054	C₂×D₅₃	—	16	4	no	—
1055	C₂×D₅₃	—	16	2	no	—
1056	C₄×C₅₃	—	2	2	no	—
1057	C₄×C₅₃	—	2	4	no	—
1058	C₄×C₅₃	—	2	2	no	—
1059	C₄×C₅₃	—	2	4	no	—
1060	C₄×C₅₃	—	2	4	no	—
1061	Dic₅₃	—	2	4	no	—
1062	Dic₅₃	—	2	4	no	—
1063	Dic₅₃	—	2	2	no	—
1064	Dic₅₃	—	2	4	no	—
1065	Dic₅₃	—	2	2	no	—
1066	Dic₅₃	—	2	2	no	—
1067	Dic₅₃	—	2	4	no	—
1068	Dic₅₃	—	2	2	no	—
1069	#3560	—	53	4	no	—
1070	#3560	—	53	4	no	—
1071	#3558	—	53	4	no	—
1072	#3558	—	53	4	no	—
1073	#3537	—	53	4	no	—
1074	#3537	—	53	4	no	—
1075	#3534	—	53	4	no	—
1076	#3534	—	53	4	no	—
1077	#3533	—	53	2	no	—
1078	#3533	—	53	2	no	—
1079	#3533	—	53	4	no	—
1080	#3532	—	53	2	no	—
1081	#3532	—	53	2	no	—
1082	#3532	—	53	4	no	—
1083	#3505	—	53	2	no	—
1084	#3505	—	53	2	no	—
1085	#3496	—	53	2	no	—
1086	#3496	—	53	2	no	—
1087	#3484	—	53	1	no	—
1088	#3484	—	53	2	no	—
1089	#3484	D₅₃	1	1	yes	characteristic, complemented
1090	C₂×#538	—	53	2	no	—
1091	C₂×#534	—	53	1	no	—
1092	C₂×C₅₃	—	2	2	no	—
1093	C₂×C₅₃	—	2	4	no	—
1094	C₂×C₅₃	—	4	1	no	—
1095	C₂×C₅₃	—	4	1	no	—
1096	C₂×C₅₃	—	4	2	no	—
1097	C₂×C₅₃	—	4	4	no	—
1098	C₂×C₅₃	—	4	2	no	—
1099	C₂×C₅₃	—	4	2	no	—
1100	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1101	C₂×C₅₃	H(7,𝔽₂)	1	2	yes	—
1102	D₅₃	—	4	4	no	—
1103	D₅₃	—	4	4	no	—
1104	C₂×H(5,𝔽₂)	—	53	1	no	—
1105	C₂×H(5,𝔽₂)	—	53	2	no	—
1106	C₂×H(5,𝔽₂)	C₂×D₅₃	1	1	yes	characteristic, complemented
1107	C₂³×D₄	—	53	1	no	—
1108	C₂³×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1109	#563	—	53	2	no	—
1110	#563	—	53	2	no	—
1111	#563	—	53	4	no	—
1112	#562	—	53	4	no	—
1113	#562	—	53	4	no	—
1114	#562	—	53	4	no	—
1115	#562	—	53	4	no	—
1116	H(3,𝔽₄)	—	53	2	no	—
1117	H(3,𝔽₄)	—	53	2	no	—
1118	H(3,𝔽₄)	—	53	4	no	—
1119	#560	—	53	2	no	—
1120	#560	—	53	2	no	—
1121	#560	—	53	2	no	—
1122	#560	—	53	4	no	—
1123	#560	—	53	4	no	—
1124	#560	—	53	4	no	—
1125	#560	—	53	2	no	—
1126	#560	—	53	4	no	—
1127	#560	—	53	4	no	—
1128	#560	—	53	4	no	—
1129	#559	—	53	2	no	—
1130	#559	—	53	2	no	—
1131	#559	—	53	4	no	—
1132	#553	—	53	4	no	—
1133	#553	—	53	4	no	—
1134	#553	—	53	4	no	—
1135	#553	—	53	4	no	—
1136	#553	—	53	4	no	—
1137	#553	—	53	4	no	—
1138	#553	—	53	4	no	—
1139	#553	—	53	4	no	—
1140	#553	—	53	4	no	—
1141	#553	—	53	4	no	—
1142	#552	—	53	4	no	—
1143	#552	—	53	4	no	—
1144	#551	—	53	2	no	—
1145	#551	—	53	2	no	—
1146	#551	—	53	4	no	—
1147	#551	—	53	2	no	—
1148	#551	—	53	4	no	—
1149	#551	—	53	2	no	—
1150	#551	—	53	4	no	—
1151	#551	—	53	4	no	—
1152	#551	—	53	4	no	—
1153	#551	—	53	4	no	—
1154	#548	—	53	4	no	—
1155	#548	—	53	4	no	—
1156	#547	—	53	4	no	—
1157	#547	—	53	4	no	—
1158	#547	—	53	4	no	—
1159	#547	—	53	4	no	—
1160	#546	—	53	4	no	—
1161	#546	—	53	4	no	—
1162	#546	—	53	4	no	—
1163	#546	—	53	4	no	—
1164	#546	—	53	4	no	—
1165	#546	—	53	4	no	—
1166	#546	—	53	4	no	—
1167	#546	—	53	4	no	—
1168	#546	—	53	4	no	—
1169	#546	—	53	4	no	—
1170	#546	—	53	4	no	—
1171	#546	—	53	4	no	—
1172	#546	—	53	4	no	—
1173	#546	—	53	4	no	—
1174	#546	—	53	4	no	—
1175	#546	—	53	4	no	—
1176	#546	—	53	4	no	—
1177	#546	—	53	4	no	—
1178	#546	—	53	4	no	—
1179	#546	—	53	4	no	—
1180	#546	C₂×D₅₃	1	4	yes	complemented
1181	#546	C₂×D₅₃	1	4	yes	complemented
1182	D₄²	—	53	4	no	—
1183	D₄²	—	53	4	no	—
1184	D₄²	—	53	4	no	—
1185	D₄²	—	53	4	no	—
1186	D₄²	—	53	4	no	—
1187	D₄²	—	53	4	no	—
1188	D₄²	—	53	4	no	—
1189	D₄²	—	53	2	no	—
1190	D₄²	—	53	4	no	—
1191	D₄²	—	53	4	no	—
1192	D₄²	—	53	4	no	—
1193	D₄²	—	53	2	no	—
1194	D₄²	—	53	4	no	—
1195	D₄²	C₂×D₅₃	1	4	yes	complemented
1196	D₄²	C₂×D₅₃	1	4	yes	complemented
1197	#542	—	53	4	no	—
1198	#542	—	53	4	no	—
1199	#542	—	53	4	no	—
1200	#542	—	53	4	no	—
1201	#540	—	53	4	no	—
1202	#540	—	53	4	no	—
1203	#540	—	53	4	no	—
1204	#540	—	53	4	no	—
1205	#539	—	53	4	no	—
1206	#539	—	53	4	no	—
1207	#539	—	53	4	no	—
1208	#539	—	53	4	no	—
1209	#539	—	53	4	no	—
1210	#539	—	53	4	no	—
1211	#538	—	53	4	no	—
1212	#538	—	53	4	no	—
1213	#538	—	53	4	no	—
1214	#538	—	53	4	no	—
1215	#538	—	53	4	no	—
1216	#538	—	53	4	no	—
1217	#538	—	53	4	no	—
1218	#538	—	53	4	no	—
1219	#538	—	53	4	no	—
1220	#538	—	53	4	no	—
1221	#538	—	53	4	no	—
1222	#538	—	53	4	no	—
1223	#538	—	53	4	no	—
1224	#538	—	53	4	no	—
1225	#538	—	53	4	no	—
1226	#538	—	53	4	no	—
1227	#538	—	53	4	no	—
1228	#538	—	53	4	no	—
1229	#538	—	53	4	no	—
1230	#538	—	53	4	no	—
1231	#538	—	53	4	no	—
1232	#538	—	53	4	no	—
1233	#537	—	53	4	no	—
1234	#537	—	53	4	no	—
1235	#535	—	53	2	no	—
1236	#535	—	53	4	no	—
1237	#535	—	53	4	no	—
1238	#535	—	53	4	no	—
1239	#535	—	53	4	no	—
1240	#535	—	53	4	no	—
1241	#535	C₂×D₅₃	1	2	yes	complemented
1242	#534	—	53	4	no	—
1243	#534	—	53	4	no	—
1244	#534	—	53	4	no	—
1245	#534	—	53	4	no	—
1246	#534	—	53	2	no	—
1247	#534	—	53	2	no	—
1248	#534	—	53	2	no	—
1249	#534	—	53	4	no	—
1250	#534	—	53	4	no	—
1251	#534	—	53	4	no	—
1252	#534	—	53	4	no	—
1253	#534	—	53	4	no	—
1254	#534	—	53	4	no	—
1255	#534	—	53	4	no	—
1256	#534	—	53	2	no	—
1257	#534	C₂×D₅₃	1	2	yes	complemented
1258	#534	C₂×D₅₃	1	2	yes	complemented
1259	#532	—	53	4	no	—
1260	#532	—	53	4	no	—
1261	#529	—	53	4	no	—
1262	#529	—	53	4	no	—
1263	C₂×#126	—	53	2	no	—
1264	C₂×#126	—	53	2	no	—
1265	C₂×#124	—	53	2	no	—
1266	C₂×#124	—	53	2	no	—
1267	#525	—	53	2	no	—
1268	#525	—	53	4	no	—
1269	#525	—	53	4	no	—
1270	#525	—	53	4	no	—
1271	#525	C₂×D₅₃	1	2	yes	complemented
1272	C₂×#123	—	53	1	no	—
1273	C₂×#123	—	53	1	no	—
1274	C₂×#123	—	53	2	no	—
1275	C₂×#123	—	53	2	no	—
1276	C₂×#123	—	53	2	no	—
1277	C₂×C₂²⋊Q₈	—	53	2	no	—
1278	C₂×#121	—	53	2	no	—
1279	C₂×#121	—	53	2	no	—
1280	C₂×#121	—	53	2	no	—
1281	C₂×#121	—	53	2	no	—
1282	C₂×#121	—	53	2	no	—
1283	C₂×#121	—	53	4	no	—
1284	C₂×#121	—	53	4	no	—
1285	C₂×#120	—	53	2	no	—
1286	C₂×#120	—	53	2	no	—
1287	C₂×#120	—	53	2	no	—
1288	C₂×#120	—	53	1	no	—
1289	C₂×#120	—	53	1	no	—
1290	C₂×#120	—	53	4	no	—
1291	C₂×#120	C₂×D₅₃	1	2	yes	complemented
1292	C₂×#120	C₂×D₅₃	1	2	yes	complemented
1293	#518	—	53	1	no	—
1294	#518	—	53	2	no	—
1295	#518	C₂×D₅₃	1	1	yes	characteristic, complemented
1296	C₂×C₄×D₄	—	53	2	no	—
1297	C₂×C₄×D₄	—	53	2	no	—
1298	C₂²×C₂²⋊C₄	—	53	1	no	—
1299	C₅₃	#62863	1	1	yes	characteristic, complemented, Sylow
1300	C₂⁵	—	53	1	no	—
1301	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1302	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1303	H(5,𝔽₂)	—	4	4	no	—
1304	H(5,𝔽₂)	—	212	4	no	—
1305	H(5,𝔽₂)	—	212	8	no	—
1306	C₂×#41	—	53	4	no	—
1307	C₂×#41	—	53	4	no	—
1308	C₂×#41	—	53	4	no	—
1309	C₂×#41	—	53	4	no	—
1310	C₂×#41	—	53	4	no	—
1311	C₂×#41	—	53	2	no	—
1312	C₂×#41	—	53	4	no	—
1313	C₂×#41	C₂²×D₅₃	1	2	yes	—
1314	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1315	C₂²×Q₈	—	53	2	no	—
1316	C₂²×D₄	—	4	4	no	—
1317	C₂²×D₄	—	53	2	no	—
1318	C₂²×D₄	—	53	2	no	—
1319	C₂²×D₄	—	53	2	no	—
1320	C₂²×D₄	—	53	2	no	—
1321	C₂²×D₄	—	53	2	no	—
1322	C₂²×D₄	—	53	2	no	—
1323	C₂²×D₄	—	53	4	no	—
1324	C₂²×D₄	—	53	2	no	—
1325	C₂²×D₄	—	53	4	no	—
1326	C₂²×D₄	—	53	2	no	—
1327	C₂²×D₄	—	53	2	no	—
1328	C₂²×D₄	—	53	4	no	—
1329	C₂²×D₄	—	53	4	no	—
1330	C₂²×D₄	—	53	4	no	—
1331	C₂²×D₄	—	53	4	no	—
1332	C₂²×D₄	—	53	4	no	—
1333	C₂²×D₄	—	53	4	no	—
1334	C₂²×D₄	—	53	4	no	—
1335	C₂²×D₄	—	53	4	no	—
1336	C₂²×D₄	—	53	4	no	—
1337	C₂²×D₄	—	212	4	no	—
1338	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1339	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1340	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1341	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1342	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1343	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1344	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
1345	C₂²×D₄	C₂²×D₅₃	1	4	yes	—
1346	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1347	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1348	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1349	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1350	C₂³×C₄	—	53	2	no	—
1351	C₂³×C₄	—	53	2	no	—
1352	C₂³×C₄	—	53	1	no	—
1353	C₂³×C₄	—	53	2	no	—
1354	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1355	C₄⋊Q₈	—	53	4	no	—
1356	C₄⋊Q₈	—	53	4	no	—
1357	#127	—	53	4	no	—
1358	#127	—	53	4	no	—
1359	#127	—	53	2	no	—
1360	#127	—	53	4	no	—
1361	#127	—	53	2	no	—
1362	#127	—	53	4	no	—
1363	#127	C₂²×D₅₃	1	2	yes	—
1364	#127	C₂²×D₅₃	1	2	yes	—
1365	#126	—	53	4	no	—
1366	#126	—	53	4	no	—
1367	#126	—	53	4	no	—
1368	#126	—	53	4	no	—
1369	#126	—	53	4	no	—
1370	#126	—	53	4	no	—
1371	#126	—	53	4	no	—
1372	#126	—	53	4	no	—
1373	#126	—	53	4	no	—
1374	#126	—	53	4	no	—
1375	#126	—	53	4	no	—
1376	#126	—	53	4	no	—
1377	#126	—	53	4	no	—
1378	#126	—	53	4	no	—
1379	#126	—	53	4	no	—
1380	#126	—	53	4	no	—
1381	#126	—	53	4	no	—
1382	#126	—	53	4	no	—
1383	#126	—	53	4	no	—
1384	#126	—	53	4	no	—
1385	#125	—	53	4	no	—
1386	#125	—	53	4	no	—
1387	#125	—	53	4	no	—
1388	#125	—	53	4	no	—
1389	#125	—	53	4	no	—
1390	#125	—	53	4	no	—
1391	#124	—	53	4	no	—
1392	#124	—	53	4	no	—
1393	#124	—	53	4	no	—
1394	#124	—	53	4	no	—
1395	#124	—	53	4	no	—
1396	#124	—	53	4	no	—
1397	#124	—	53	2	no	—
1398	#124	—	53	4	no	—
1399	#124	—	53	2	no	—
1400	#124	—	53	4	no	—
1401	#124	—	53	4	no	—
1402	#124	—	53	4	no	—
1403	#124	—	53	4	no	—
1404	#124	—	53	4	no	—
1405	#124	—	53	4	no	—
1406	#124	—	53	4	no	—
1407	#124	—	53	4	no	—
1408	#124	—	53	4	no	—
1409	#124	—	53	4	no	—
1410	#124	—	53	4	no	—
1411	#124	—	53	4	no	—
1412	#124	—	53	4	no	—
1413	#124	C₂²×D₅₃	1	2	yes	—
1414	#124	C₂²×D₅₃	1	2	yes	—
1415	#123	—	53	4	no	—
1416	#123	—	53	4	no	—
1417	#123	—	53	2	no	—
1418	#123	—	53	2	no	—
1419	#123	—	53	2	no	—
1420	#123	—	53	2	no	—
1421	#123	—	53	4	no	—
1422	#123	—	53	4	no	—
1423	#123	—	53	4	no	—
1424	#123	—	53	4	no	—
1425	#123	—	53	4	no	—
1426	#123	—	53	4	no	—
1427	#123	—	53	4	no	—
1428	#123	—	53	2	no	—
1429	#123	—	53	4	no	—
1430	#123	—	53	4	no	—
1431	#123	—	53	4	no	—
1432	#123	—	53	2	no	—
1433	#123	—	53	4	no	—
1434	#123	—	53	4	no	—
1435	#123	—	53	4	no	—
1436	#123	—	53	4	no	—
1437	#123	—	53	4	no	—
1438	#123	—	53	4	no	—
1439	#123	—	53	4	no	—
1440	#123	—	53	4	no	—
1441	#123	—	53	4	no	—
1442	#123	—	53	4	no	—
1443	#123	—	53	4	no	—
1444	#123	—	53	4	no	—
1445	#123	—	53	4	no	—
1446	#123	—	53	4	no	—
1447	#123	—	53	4	no	—
1448	#123	—	53	4	no	—
1449	#123	—	53	4	no	—
1450	#123	—	53	4	no	—
1451	#123	—	53	4	no	—
1452	#123	—	53	4	no	—
1453	#123	—	53	4	no	—
1454	#123	—	53	4	no	—
1455	#123	—	53	4	no	—
1456	#123	—	53	4	no	—
1457	#123	—	53	4	no	—
1458	#123	—	53	4	no	—
1459	#123	—	53	4	no	—
1460	#123	—	53	4	no	—
1461	#123	—	53	4	no	—
1462	#123	—	53	4	no	—
1463	#123	C₂²×D₅₃	1	4	yes	—
1464	#123	C₂²×D₅₃	1	2	yes	—
1465	#123	C₂²×D₅₃	1	2	yes	—
1466	#123	C₂²×D₅₃	1	4	yes	complemented
1467	C₂²⋊Q₈	—	53	4	no	—
1468	C₂²⋊Q₈	—	53	4	no	—
1469	C₂²⋊Q₈	—	53	4	no	—
1470	C₂²⋊Q₈	—	53	4	no	—
1471	C₂²⋊Q₈	—	53	4	no	—
1472	C₂²⋊Q₈	—	53	4	no	—
1473	C₂²⋊Q₈	—	53	4	no	—
1474	C₂²⋊Q₈	—	53	4	no	—
1475	C₂²⋊Q₈	—	53	4	no	—
1476	C₂²⋊Q₈	—	53	4	no	—
1477	C₂²⋊Q₈	—	53	4	no	—
1478	C₂²⋊Q₈	—	53	4	no	—
1479	C₂²⋊Q₈	—	53	4	no	—
1480	C₂²⋊Q₈	—	53	4	no	—
1481	C₂²⋊Q₈	—	53	4	no	—
1482	C₂²⋊Q₈	—	53	4	no	—
1483	C₂²⋊Q₈	—	53	4	no	—
1484	C₂²⋊Q₈	—	53	4	no	—
1485	C₂²⋊Q₈	—	53	4	no	—
1486	C₂²⋊Q₈	—	53	4	no	—
1487	C₂²⋊Q₈	—	53	4	no	—
1488	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1489	#121	—	53	4	no	—
1490	#121	—	53	4	no	—
1491	#121	—	53	4	no	—
1492	#121	—	53	4	no	—
1493	#121	—	53	4	no	—
1494	#121	—	53	4	no	—
1495	#121	—	53	4	no	—
1496	#121	—	53	4	no	—
1497	#121	—	53	4	no	—
1498	#121	—	53	4	no	—
1499	#121	—	53	4	no	—
1500	#121	—	53	4	no	—
1501	#121	—	53	4	no	—
1502	#121	—	53	4	no	—
1503	#121	—	53	4	no	—
1504	#121	—	53	4	no	—
1505	#121	—	53	4	no	—
1506	#121	—	53	4	no	—
1507	#121	—	53	4	no	—
1508	#121	—	53	4	no	—
1509	#121	—	53	4	no	—
1510	#121	—	53	4	no	—
1511	#121	—	53	4	no	—
1512	#121	—	53	4	no	—
1513	#121	—	53	4	no	—
1514	#121	—	53	4	no	—
1515	#121	—	53	4	no	—
1516	#121	—	53	4	no	—
1517	#121	—	53	4	no	—
1518	#121	—	53	4	no	—
1519	#121	—	53	4	no	—
1520	#121	—	53	4	no	—
1521	#121	—	53	4	no	—
1522	#121	—	53	4	no	—
1523	#121	—	53	4	no	—
1524	#121	—	53	4	no	—
1525	#121	—	53	4	no	—
1526	#121	—	53	4	no	—
1527	#121	—	53	4	no	—
1528	#121	—	53	4	no	—
1529	#121	—	53	4	no	—
1530	#121	—	53	4	no	—
1531	#121	—	53	4	no	—
1532	#121	—	53	4	no	—
1533	#121	—	53	4	no	—
1534	#121	—	53	4	no	—
1535	#121	—	53	4	no	—
1536	#121	—	53	4	no	—
1537	#121	—	53	4	no	—
1538	#121	—	53	4	no	—
1539	#121	—	53	4	no	—
1540	#121	—	53	4	no	—
1541	#121	—	53	4	no	—
1542	#121	—	53	4	no	—
1543	#121	—	53	4	no	—
1544	#121	—	53	4	no	—
1545	#121	—	53	4	no	—
1546	#121	—	53	4	no	—
1547	#121	—	53	4	no	—
1548	#121	—	53	4	no	—
1549	#121	—	53	4	no	—
1550	#121	—	53	4	no	—
1551	#121	—	53	4	no	—
1552	#121	C₂²×D₅₃	1	4	yes	—
1553	#121	C₂²×D₅₃	1	4	yes	—
1554	#121	C₂²×D₅₃	1	4	yes	—
1555	#121	C₂²×D₅₃	1	4	yes	—
1556	#121	C₂²×D₅₃	1	4	yes	complemented
1557	#121	C₂²×D₅₃	1	4	yes	complemented
1558	#121	C₂²×D₅₃	1	4	yes	complemented
1559	#120	—	53	4	no	—
1560	#120	—	53	4	no	—
1561	#120	—	53	4	no	—
1562	#120	—	53	4	no	—
1563	#120	—	53	4	no	—
1564	#120	—	53	4	no	—
1565	#120	—	53	4	no	—
1566	#120	—	53	4	no	—
1567	#120	—	53	4	no	—
1568	#120	—	53	4	no	—
1569	#120	—	53	4	no	—
1570	#120	—	53	4	no	—
1571	#120	—	53	4	no	—
1572	#120	—	53	4	no	—
1573	#120	—	53	4	no	—
1574	#120	—	53	4	no	—
1575	#120	—	53	2	no	—
1576	#120	—	53	2	no	—
1577	#120	—	53	2	no	—
1578	#120	—	53	2	no	—
1579	#120	—	53	4	no	—
1580	#120	—	53	4	no	—
1581	#120	—	53	4	no	—
1582	#120	—	53	4	no	—
1583	#120	—	53	4	no	—
1584	#120	—	53	2	no	—
1585	#120	—	53	4	no	—
1586	#120	—	53	4	no	—
1587	#120	—	53	4	no	—
1588	#120	—	53	4	no	—
1589	#120	—	53	2	no	—
1590	#120	—	53	4	no	—
1591	#120	—	53	4	no	—
1592	#120	—	53	4	no	—
1593	#120	—	53	4	no	—
1594	#120	—	53	4	no	—
1595	#120	—	53	4	no	—
1596	#120	—	53	4	no	—
1597	#120	C₂²×D₅₃	1	4	yes	—
1598	#120	C₂²×D₅₃	1	4	yes	—
1599	#120	C₂²×D₅₃	1	4	yes	—
1600	#120	C₂²×D₅₃	1	4	yes	—
1601	#120	C₂²×D₅₃	1	4	yes	—
1602	#120	C₂²×D₅₃	1	2	yes	—
1603	#120	C₂²×D₅₃	1	2	yes	—
1604	#120	C₂²×D₅₃	1	4	yes	complemented
1605	#120	C₂²×D₅₃	1	4	yes	complemented
1606	#120	C₂²×D₅₃	1	4	yes	complemented
1607	C₄×Q₈	—	53	4	no	—
1608	C₄×Q₈	—	53	4	no	—
1609	C₄×D₄	—	53	4	no	—
1610	C₄×D₄	—	53	4	no	—
1611	C₄×D₄	—	53	4	no	—
1612	C₄×D₄	—	53	4	no	—
1613	C₄×D₄	—	53	4	no	—
1614	C₄×D₄	—	53	4	no	—
1615	C₄×D₄	—	53	4	no	—
1616	C₄×D₄	—	53	4	no	—
1617	C₄×D₄	—	53	4	no	—
1618	C₄×D₄	—	53	4	no	—
1619	C₄×D₄	—	53	4	no	—
1620	C₄×D₄	—	53	4	no	—
1621	C₄×D₄	—	53	4	no	—
1622	C₄×D₄	—	53	4	no	—
1623	C₄×D₄	—	53	4	no	—
1624	C₄×D₄	—	53	4	no	—
1625	C₄×D₄	—	53	4	no	—
1626	C₄×D₄	—	53	4	no	—
1627	C₄×D₄	—	53	4	no	—
1628	C₄×D₄	—	53	4	no	—
1629	C₄×D₄	—	53	4	no	—
1630	C₄×D₄	—	53	4	no	—
1631	C₄×D₄	—	53	4	no	—
1632	C₄×D₄	—	53	4	no	—
1633	C₄×D₄	—	53	4	no	—
1634	C₄×D₄	—	53	4	no	—
1635	C₄×D₄	—	53	4	no	—
1636	C₄×D₄	—	53	4	no	—
1637	C₄×D₄	—	53	4	no	—
1638	C₄×D₄	—	53	4	no	—
1639	C₄×D₄	—	53	4	no	—
1640	C₄×D₄	—	53	4	no	—
1641	C₄×D₄	—	53	4	no	—
1642	C₄×D₄	—	53	4	no	—
1643	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1644	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1645	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1646	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1647	#117	—	53	2	no	—
1648	#117	—	53	4	no	—
1649	#117	—	53	4	no	—
1650	#117	—	53	4	no	—
1651	#117	—	53	4	no	—
1652	#117	—	53	4	no	—
1653	#117	—	53	4	no	—
1654	#117	—	53	4	no	—
1655	#117	C₂²×D₅₃	1	2	yes	—
1656	C₂×C₄⋊C₄	—	53	2	no	—
1657	C₂×C₄⋊C₄	—	53	2	no	—
1658	C₂×C₄⋊C₄	—	53	2	no	—
1659	C₂×C₄⋊C₄	—	53	2	no	—
1660	C₂×C₄⋊C₄	—	53	2	no	—
1661	C₂×C₄⋊C₄	—	53	2	no	—
1662	C₂×C₄⋊C₄	—	53	2	no	—
1663	C₂×C₄⋊C₄	—	53	4	no	—
1664	C₂×C₄⋊C₄	—	53	2	no	—
1665	C₂×C₄⋊C₄	—	53	4	no	—
1666	C₂×C₂²⋊C₄	—	53	1	no	—
1667	C₂×C₂²⋊C₄	—	53	1	no	—
1668	C₂×C₂²⋊C₄	—	53	2	no	—
1669	C₂×C₂²⋊C₄	—	53	2	no	—
1670	C₂×C₂²⋊C₄	—	53	2	no	—
1671	C₂×C₂²⋊C₄	—	53	2	no	—
1672	C₂×C₂²⋊C₄	—	53	2	no	—
1673	C₂×C₂²⋊C₄	—	53	2	no	—
1674	C₂×C₂²⋊C₄	—	53	2	no	—
1675	C₂×C₂²⋊C₄	—	53	2	no	—
1676	C₂×C₂²⋊C₄	—	53	2	no	—
1677	C₂×C₂²⋊C₄	—	53	2	no	—
1678	C₂×C₂²⋊C₄	—	53	2	no	—
1679	C₂×C₂²⋊C₄	—	53	2	no	—
1680	C₂×C₂²⋊C₄	—	53	4	no	—
1681	C₂×C₂²⋊C₄	—	53	2	no	—
1682	C₂×C₂²⋊C₄	—	53	4	no	—
1683	C₂×C₂²⋊C₄	—	53	2	no	—
1684	C₂×C₂²⋊C₄	—	53	2	no	—
1685	C₂×C₂²⋊C₄	—	53	2	no	—
1686	C₂×C₂²⋊C₄	—	53	2	no	—
1687	C₂×C₂²⋊C₄	—	53	4	no	—
1688	C₂×C₂²⋊C₄	—	53	4	no	—
1689	C₂×C₂²⋊C₄	—	53	4	no	—
1690	C₂×C₂²⋊C₄	—	53	4	no	—
1691	C₂×C₂²⋊C₄	—	53	4	no	—
1692	C₂×C₂²⋊C₄	—	53	4	no	—
1693	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1694	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1695	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1696	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
1697	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
1698	C₂×C₄²	—	53	2	no	—
1699	C₂×C₄²	—	53	2	no	—
1700	C₂⁴	—	2	4	no	—
1701	C₂⁴	—	4	2	no	—
1702	C₂⁴	—	8	2	no	—
1703	C₂⁴	—	8	2	no	—
1704	C₂⁴	—	53	2	no	—
1705	C₂⁴	—	53	2	no	—
1706	C₂⁴	—	53	2	no	—
1707	C₂⁴	—	53	2	no	—
1708	C₂⁴	—	53	4	no	—
1709	C₂⁴	—	53	2	no	—
1710	C₂⁴	—	424	2	no	—
1711	C₂⁴	—	212	2	no	—
1712	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1713	C₂⁴	C₂³×D₅₃	1	2	yes	—
1714	C₂⁴	C₂³×D₅₃	1	2	yes	—
1715	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1716	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1717	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1718	C₂⁴	C₂³×D₅₃	1	2	yes	—
1719	C₂⁴	C₂³×D₅₃	1	2	yes	—
1720	C₂⁴	C₂³×D₅₃	1	4	yes	—
1721	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1722	#41	—	4	4	no	—
1723	#41	—	4	8	no	—
1724	#41	—	424	4	no	—
1725	#41	—	424	4	no	—
1726	#41	—	212	4	no	—
1727	#41	—	212	8	no	—
1728	#41	—	212	8	no	—
1729	#41	—	212	8	no	—
1730	#41	—	212	8	no	—
1731	C₂×Q₈	—	53	4	no	—
1732	C₂×Q₈	—	53	4	no	—
1733	C₂×Q₈	—	53	2	no	—
1734	C₂×Q₈	—	53	4	no	—
1735	C₂×Q₈	—	424	2	no	—
1736	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
1737	C₂×D₄	—	2	4	no	—
1738	C₂×D₄	—	2	4	no	—
1739	C₂×D₄	—	2	8	no	—
1740	C₂×D₄	—	4	2	no	—
1741	C₂×D₄	—	4	2	no	—
1742	C₂×D₄	—	4	8	no	—
1743	C₂×D₄	—	4	8	no	—
1744	C₂×D₄	—	4	4	no	—
1745	C₂×D₄	—	4	8	no	—
1746	C₂×D₄	—	8	2	no	—
1747	C₂×D₄	—	8	2	no	—
1748	C₂×D₄	—	8	4	no	—
1749	C₂×D₄	—	53	4	no	—
1750	C₂×D₄	—	53	4	no	—
1751	C₂×D₄	—	53	4	no	—
1752	C₂×D₄	—	53	4	no	—
1753	C₂×D₄	—	53	4	no	—
1754	C₂×D₄	—	53	4	no	—
1755	C₂×D₄	—	53	4	no	—
1756	C₂×D₄	—	53	4	no	—
1757	C₂×D₄	—	53	4	no	—
1758	C₂×D₄	—	53	4	no	—
1759	C₂×D₄	—	53	4	no	—
1760	C₂×D₄	—	53	4	no	—
1761	C₂×D₄	—	53	4	no	—
1762	C₂×D₄	—	53	4	no	—
1763	C₂×D₄	—	53	4	no	—
1764	C₂×D₄	—	53	4	no	—
1765	C₂×D₄	—	53	4	no	—
1766	C₂×D₄	—	53	4	no	—
1767	C₂×D₄	—	53	4	no	—
1768	C₂×D₄	—	53	4	no	—
1769	C₂×D₄	—	53	4	no	—
1770	C₂×D₄	—	53	4	no	—
1771	C₂×D₄	—	53	4	no	—
1772	C₂×D₄	—	53	4	no	—
1773	C₂×D₄	—	53	4	no	—
1774	C₂×D₄	—	53	4	no	—
1775	C₂×D₄	—	53	2	no	—
1776	C₂×D₄	—	106	8	no	—
1777	C₂×D₄	—	106	8	no	—
1778	C₂×D₄	—	424	4	no	—
1779	C₂×D₄	—	424	4	no	—
1780	C₂×D₄	—	424	4	no	—
1781	C₂×D₄	—	424	2	no	—
1782	C₂×D₄	—	424	2	no	—
1783	C₂×D₄	—	424	4	no	—
1784	C₂×D₄	—	424	2	no	—
1785	C₂×D₄	—	424	2	no	—
1786	C₂×D₄	—	424	2	no	—
1787	C₂×D₄	—	424	4	no	—
1788	C₂×D₄	—	212	4	no	—
1789	C₂×D₄	—	212	8	no	—
1790	C₂×D₄	—	212	8	no	—
1791	C₂×D₄	—	212	8	no	—
1792	C₂×D₄	—	212	8	no	—
1793	C₂×D₄	—	212	8	no	—
1794	C₂×D₄	—	212	8	no	—
1795	C₂×D₄	—	212	4	no	—
1796	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1797	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1798	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1799	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1800	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1801	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1802	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1803	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1804	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1805	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1806	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1807	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1808	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1809	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1810	C₂×D₄	C₂³×D₅₃	1	2	yes	—
1811	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1812	C₂²×C₄	—	4	2	no	—
1813	C₂²×C₄	—	53	2	no	—
1814	C₂²×C₄	—	53	2	no	—
1815	C₂²×C₄	—	53	2	no	—
1816	C₂²×C₄	—	53	2	no	—
1817	C₂²×C₄	—	53	2	no	—
1818	C₂²×C₄	—	53	2	no	—
1819	C₂²×C₄	—	53	2	no	—
1820	C₂²×C₄	—	53	2	no	—
1821	C₂²×C₄	—	53	2	no	—
1822	C₂²×C₄	—	53	2	no	—
1823	C₂²×C₄	—	53	4	no	—
1824	C₂²×C₄	—	53	4	no	—
1825	C₂²×C₄	—	53	2	no	—
1826	C₂²×C₄	—	53	4	no	—
1827	C₂²×C₄	—	53	4	no	—
1828	C₂²×C₄	—	53	2	no	—
1829	C₂²×C₄	—	53	2	no	—
1830	C₂²×C₄	—	53	4	no	—
1831	C₂²×C₄	—	53	4	no	—
1832	C₂²×C₄	—	53	4	no	—
1833	C₂²×C₄	—	53	4	no	—
1834	C₂²×C₄	—	53	4	no	—
1835	C₂²×C₄	—	53	4	no	—
1836	C₂²×C₄	—	53	4	no	—
1837	C₂²×C₄	—	424	2	no	—
1838	C₂²×C₄	—	424	2	no	—
1839	C₂²×C₄	—	424	2	no	—
1840	C₂²×C₄	—	212	2	no	—
1841	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1842	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1843	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1844	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1845	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1846	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1847	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1848	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
1849	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1850	C₄⋊C₄	—	53	4	no	—
1851	C₄⋊C₄	—	53	4	no	—
1852	C₄⋊C₄	—	53	4	no	—
1853	C₄⋊C₄	—	53	4	no	—
1854	C₄⋊C₄	—	53	4	no	—
1855	C₄⋊C₄	—	53	4	no	—
1856	C₄⋊C₄	—	53	4	no	—
1857	C₄⋊C₄	—	53	4	no	—
1858	C₄⋊C₄	—	53	4	no	—
1859	C₄⋊C₄	—	53	4	no	—
1860	C₄⋊C₄	—	53	4	no	—
1861	C₄⋊C₄	—	53	4	no	—
1862	C₄⋊C₄	—	53	4	no	—
1863	C₄⋊C₄	—	53	4	no	—
1864	C₄⋊C₄	—	53	4	no	—
1865	C₄⋊C₄	—	53	4	no	—
1866	C₄⋊C₄	—	53	4	no	—
1867	C₄⋊C₄	—	53	4	no	—
1868	C₄⋊C₄	—	53	4	no	—
1869	C₄⋊C₄	—	53	4	no	—
1870	C₄⋊C₄	—	53	4	no	—
1871	C₄⋊C₄	—	53	4	no	—
1872	C₄⋊C₄	—	53	4	no	—
1873	C₄⋊C₄	—	53	4	no	—
1874	C₄⋊C₄	—	53	4	no	—
1875	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1876	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1877	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1878	C₂²⋊C₄	—	53	4	no	—
1879	C₂²⋊C₄	—	53	1	no	—
1880	C₂²⋊C₄	—	53	1	no	—
1881	C₂²⋊C₄	—	53	2	no	—
1882	C₂²⋊C₄	—	53	2	no	—
1883	C₂²⋊C₄	—	53	2	no	—
1884	C₂²⋊C₄	—	53	2	no	—
1885	C₂²⋊C₄	—	53	2	no	—
1886	C₂²⋊C₄	—	53	1	no	—
1887	C₂²⋊C₄	—	53	1	no	—
1888	C₂²⋊C₄	—	53	2	no	—
1889	C₂²⋊C₄	—	53	4	no	—
1890	C₂²⋊C₄	—	53	4	no	—
1891	C₂²⋊C₄	—	53	4	no	—
1892	C₂²⋊C₄	—	53	4	no	—
1893	C₂²⋊C₄	—	53	4	no	—
1894	C₂²⋊C₄	—	53	4	no	—
1895	C₂²⋊C₄	—	53	4	no	—
1896	C₂²⋊C₄	—	53	4	no	—
1897	C₂²⋊C₄	—	53	4	no	—
1898	C₂²⋊C₄	—	53	4	no	—
1899	C₂²⋊C₄	—	53	4	no	—
1900	C₂²⋊C₄	—	53	4	no	—
1901	C₂²⋊C₄	—	53	4	no	—
1902	C₂²⋊C₄	—	53	4	no	—
1903	C₂²⋊C₄	—	53	2	no	—
1904	C₂²⋊C₄	—	53	2	no	—
1905	C₂²⋊C₄	—	53	4	no	—
1906	C₂²⋊C₄	—	53	4	no	—
1907	C₂²⋊C₄	—	53	4	no	—
1908	C₂²⋊C₄	—	53	4	no	—
1909	C₂²⋊C₄	—	53	4	no	—
1910	C₂²⋊C₄	—	53	4	no	—
1911	C₂²⋊C₄	—	53	4	no	—
1912	C₂²⋊C₄	—	53	4	no	—
1913	C₂²⋊C₄	—	53	4	no	—
1914	C₂²⋊C₄	—	53	4	no	—
1915	C₂²⋊C₄	—	53	4	no	—
1916	C₂²⋊C₄	—	53	4	no	—
1917	C₂²⋊C₄	—	53	4	no	—
1918	C₂²⋊C₄	—	53	4	no	—
1919	C₂²⋊C₄	—	53	4	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	4	no	—
1925	C₂²⋊C₄	—	53	4	no	—
1926	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1927	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1928	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1929	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1930	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1931	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1932	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1933	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1934	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
1935	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
1936	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1937	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1938	C₄²	—	53	4	no	—
1939	C₄²	—	53	4	no	—
1940	C₄²	—	53	4	no	—
1941	C₄²	—	53	4	no	—
1942	C₄²	—	53	2	no	—
1943	C₄²	—	53	4	no	—
1944	C₄²	—	53	2	no	—
1945	C₄²	—	53	4	no	—
1946	C₄²	C₂³×D₅₃	1	2	yes	—
1947	C₄²	C₂³×D₅₃	1	2	yes	—
1948	C₂³	—	2	2	no	—
1949	C₂³	—	2	2	no	—
1950	C₂³	—	2	2	no	—
1951	C₂³	—	2	4	no	—
1952	C₂³	—	2	2	no	—
1953	C₂³	—	2	4	no	—
1954	C₂³	—	2	4	no	—
1955	C₂³	—	4	2	no	—
1956	C₂³	—	4	2	no	—
1957	C₂³	—	4	2	no	—
1958	C₂³	—	4	2	no	—
1959	C₂³	—	4	4	no	—
1960	C₂³	—	4	2	no	—
1961	C₂³	—	4	2	no	—
1962	C₂³	—	4	2	no	—
1963	C₂³	—	4	4	no	—
1964	C₂³	—	4	2	no	—
1965	C₂³	—	4	2	no	—
1966	C₂³	—	4	2	no	—
1967	C₂³	—	4	2	no	—
1968	C₂³	—	4	4	no	—
1969	C₂³	—	4	2	no	—
1970	C₂³	—	4	4	no	—
1971	C₂³	—	8	8	no	—
1972	C₂³	—	8	8	no	—
1973	C₂³	—	53	4	no	—
1974	C₂³	—	53	4	no	—
1975	C₂³	—	106	4	no	—
1976	C₂³	—	106	4	no	—
1977	C₂³	—	424	8	no	—
1978	C₂³	—	212	4	no	—
1979	C₂³	—	212	4	no	—
1980	C₂³	—	212	4	no	—
1981	C₂³	—	212	4	no	—
1982	C₂³	—	212	2	no	—
1983	C₂³	—	212	2	no	—
1984	C₂³	—	212	2	no	—
1985	C₂³	—	212	2	no	—
1986	C₂³	—	212	2	no	—
1987	C₂³	—	212	4	no	—
1988	C₂³	—	212	4	no	—
1989	C₂³	—	212	2	no	—
1990	C₂³	—	212	2	no	—
1991	C₂³	#13133262	1	4	yes	—
1992	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1993	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1994	C₂³	C₂⁴×D₅₃	1	2	yes	—
1995	C₂³	C₂⁴×D₅₃	1	2	yes	—
1996	C₂³	C₂⁴×D₅₃	1	2	yes	—
1997	C₂³	C₂⁴×D₅₃	1	4	yes	—
1998	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1999	C₂³	C₂⁴×D₅₃	1	2	yes	—
2000	Q₈	—	4	2	no	—
2001	Q₈	—	212	4	no	—
2002	Q₈	—	212	4	no	—
2003	Q₈	—	212	2	no	—
2004	Q₈	—	212	4	no	—
2005	D₄	—	2	8	no	—
2006	D₄	—	2	8	no	—
2007	D₄	—	2	8	no	—
2008	D₄	—	2	8	no	—
2009	D₄	—	4	2	no	—
2010	D₄	—	4	2	no	—
2011	D₄	—	4	2	no	—
2012	D₄	—	4	2	no	—
2013	D₄	—	4	2	no	—
2014	D₄	—	4	4	no	—
2015	D₄	—	4	4	no	—
2016	D₄	—	4	4	no	—
2017	D₄	—	4	4	no	—
2018	D₄	—	4	4	no	—
2019	D₄	—	4	4	no	—
2020	D₄	—	4	4	no	—
2021	D₄	—	106	8	no	—
2022	D₄	—	106	8	no	—
2023	D₄	—	106	8	no	—
2024	D₄	—	106	8	no	—
2025	D₄	—	212	4	no	—
2026	D₄	—	212	4	no	—
2027	D₄	—	212	2	no	—
2028	D₄	—	212	4	no	—
2029	D₄	—	212	4	no	—
2030	D₄	—	212	4	no	—
2031	D₄	—	212	4	no	—
2032	D₄	—	212	4	no	—
2033	D₄	—	212	4	no	—
2034	D₄	—	212	4	no	—
2035	D₄	—	212	4	no	—
2036	D₄	—	212	4	no	—
2037	D₄	—	212	4	no	—
2038	D₄	—	212	4	no	—
2039	D₄	—	212	4	no	—
2040	D₄	—	212	4	no	—
2041	D₄	—	212	4	no	—
2042	D₄	—	212	4	no	—
2043	D₄	—	212	4	no	—
2044	D₄	—	212	4	no	—
2045	D₄	—	212	4	no	—
2046	D₄	—	212	4	no	—
2047	D₄	—	212	4	no	—
2048	C₂×C₄	—	2	2	no	—
2049	C₂×C₄	—	2	2	no	—
2050	C₂×C₄	—	2	4	no	—
2051	C₂×C₄	—	4	4	no	—
2052	C₂×C₄	—	4	2	no	—
2053	C₂×C₄	—	4	4	no	—
2054	C₂×C₄	—	4	2	no	—
2055	C₂×C₄	—	4	2	no	—
2056	C₂×C₄	—	4	4	no	—
2057	C₂×C₄	—	53	4	no	—
2058	C₂×C₄	—	53	2	no	—
2059	C₂×C₄	—	53	2	no	—
2060	C₂×C₄	—	53	2	no	—
2061	C₂×C₄	—	53	4	no	—
2062	C₂×C₄	—	53	2	no	—
2063	C₂×C₄	—	53	4	no	—
2064	C₂×C₄	—	53	4	no	—
2065	C₂×C₄	—	106	4	no	—
2066	C₂×C₄	—	106	4	no	—
2067	C₂×C₄	—	212	4	no	—
2068	C₂×C₄	—	212	4	no	—
2069	C₂×C₄	—	212	4	no	—
2070	C₂×C₄	—	212	4	no	—
2071	C₂×C₄	—	212	4	no	—
2072	C₂×C₄	—	212	4	no	—
2073	C₂×C₄	—	212	4	no	—
2074	C₂×C₄	—	212	2	no	—
2075	C₂×C₄	—	212	2	no	—
2076	C₂×C₄	—	212	2	no	—
2077	C₂×C₄	—	212	2	no	—
2078	C₂×C₄	—	212	4	no	—
2079	C₂×C₄	—	212	2	no	—
2080	C₂×C₄	—	212	2	no	—
2081	C₂×C₄	—	212	2	no	—
2082	C₂×C₄	—	212	4	no	—
2083	C₂×C₄	—	212	2	no	—
2084	C₂×C₄	—	212	2	no	—
2085	C₂×C₄	—	212	2	no	—
2086	C₂×C₄	—	212	4	no	—
2087	C₂×C₄	—	212	4	no	—
2088	C₂×C₄	—	212	2	no	—
2089	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2090	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2091	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2092	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2093	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2094	C₂²	—	2	2	no	—
2095	C₂²	—	2	2	no	—
2096	C₂²	—	2	2	no	—
2097	C₂²	—	2	2	no	—
2098	C₂²	—	2	4	no	—
2099	C₂²	—	2	2	no	—
2100	C₂²	—	2	1	no	—
2101	C₂²	—	2	1	no	—
2102	C₂²	—	2	2	no	—
2103	C₂²	—	2	4	no	—
2104	C₂²	—	2	4	no	—
2105	C₂²	—	2	4	no	—
2106	C₂²	—	2	2	no	—
2107	C₂²	—	2	4	no	—
2108	C₂²	—	2	2	no	—
2109	C₂²	—	2	2	no	—
2110	C₂²	—	2	2	no	—
2111	C₂²	—	4	4	no	—
2112	C₂²	—	4	4	no	—
2113	C₂²	—	4	4	no	—
2114	C₂²	—	8	2	no	—
2115	C₂²	—	8	2	no	—
2116	C₂²	—	8	4	no	—
2117	C₂²	—	8	4	no	—
2118	C₂²	—	8	4	no	—
2119	C₂²	—	8	8	no	—
2120	C₂²	—	16	2	no	—
2121	C₂²	—	848	2	no	—
2122	C₂²	—	848	4	no	—
2123	C₂²	—	106	4	no	—
2124	C₂²	—	106	4	no	—
2125	C₂²	—	106	4	no	—
2126	C₂²	—	106	4	no	—
2127	C₂²	—	106	4	no	—
2128	C₂²	—	106	4	no	—
2129	C₂²	—	424	4	no	—
2130	C₂²	—	424	4	no	—
2131	C₂²	—	424	4	no	—
2132	C₂²	—	424	4	no	—
2133	C₂²	C₂×#13133262	1	2	yes	—
2134	C₂²	C₂×#13133262	1	4	yes	—
2135	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2136	C₄	—	2	2	no	—
2137	C₄	—	2	2	no	—
2138	C₄	—	2	4	no	—
2139	C₄	—	2	4	no	—
2140	C₄	—	2	4	no	—
2141	C₄	—	106	4	no	—
2142	C₄	—	106	4	no	—
2143	C₄	—	106	2	no	—
2144	C₄	—	106	4	no	—
2145	C₄	—	106	2	no	—
2146	C₄	—	106	2	no	—
2147	C₄	—	106	2	no	—
2148	C₄	—	106	4	no	—
2149	C₂	—	2	2	no	—
2150	C₂	—	2	4	no	—
2151	C₂	—	4	2	no	—
2152	C₂	—	4	1	no	—
2153	C₂	—	4	1	no	—
2154	C₂	—	4	2	no	—
2155	C₂	—	4	2	no	—
2156	C₂	—	4	4	no	—
2157	C₂	—	212	4	no	—
2158	C₂	—	212	4	no	—
2159	C₂	C₂²×#13133262	1	1	yes	characteristic
2160	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	#62863
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. #20289259	C₂	semidirect
2. #20289255	C₂	semidirect
3. #20289229	C₂	semidirect
4. #20289225	C₂	semidirect
5. #20288946	C₂	semidirect
6. #20288945	C₂	semidirect
7. #20288900	C₂	semidirect
8. #20288893	C₂	semidirect
9. #20288888	C₂	semidirect
10. #20288879	C₂	semidirect
11. #20288876	C₂	semidirect
12. #20288870	C₂	semidirect
13. #20288869	C₂	semidirect
14. #20288867	C₂	semidirect
15. #20288552	C₂	semidirect
16. #20288545	C₂	semidirect
17. #20288476	C₂	semidirect
18. #20288474	C₂	semidirect
19. #20288350	C₂	semidirect
20. #20288344	C₂	semidirect
21. C₂×#16811208	C₂	semidirect
22. C₂×#16811182	C₂	semidirect
23. C₅₃×#3484	C₂	semidirect
24. C₂×#13133262	C₂²	semidirect
25. C₂×#13133262	C₂²	semidirect
26. C₂³×C₂²⋊D₅₃	C₂²	semidirect
27. #16811376	C₂²	semidirect
28. #16811374	C₂²	semidirect
29. #16811373	C₂²	semidirect
30. #16811369	C₂²	semidirect
31. #16811368	C₂²	semidirect
32. #16811368	C₂²	semidirect
33. #16811368	C₂²	semidirect
34. #16811366	C₂²	semidirect
35. #16811366	C₂²	semidirect
36. #16811365	C₂²	semidirect
37. #16811363	C₂²	semidirect
38. #16811362	C₂²	semidirect
39. #16811362	C₂²	semidirect
40. #16811362	C₂²	semidirect
41. #16811362	C₂²	semidirect
42. #16811361	C₂²	semidirect
43. #16811361	C₂²	semidirect
44. #16811361	C₂²	semidirect
45. #16811360	C₂²	semidirect
46. #16811360	C₂²	semidirect
47. #16811359	C₂²	semidirect
48. #16811357	C₂²	semidirect
49. #16811356	C₂²	semidirect
50. #16811325	C₂²	semidirect
51. #16811323	C₂²	semidirect
52. #16811322	C₂²	semidirect
53. #16811322	C₂²	semidirect
54. #16811322	C₂²	semidirect
55. #16811320	C₂²	semidirect
56. #16811319	C₂²	semidirect
57. #16811316	C₂²	semidirect
58. #16811316	C₂²	semidirect
59. #16811316	C₂²	semidirect
60. #16811310	C₂²	semidirect
61. #16811306	C₂²	semidirect
62. #16811304	C₂²	semidirect
63. #16811304	C₂²	semidirect
64. #16811303	C₂²	semidirect
65. #16811303	C₂²	semidirect
66. #16811302	C₂²	semidirect
67. #16811301	C₂²	semidirect
68. #16811299	C₂²	semidirect
69. #16811299	C₂²	semidirect
70. #16811297	C₂²	semidirect
71. #16811296	C₂²	semidirect
72. #16811282	C₂²	semidirect
73. #16811279	C₂²	semidirect
74. #16811272	C₂²	semidirect
75. #16811272	C₂²	semidirect
76. #16811271	C₂²	semidirect
77. #16811271	C₂²	semidirect
78. #16811270	C₂²	semidirect
79. #16811267	C₂²	semidirect
80. #16811267	C₂²	semidirect
81. #16811267	C₂²	semidirect
82. #16811267	C₂²	semidirect
83. #16811267	C₂²	semidirect
84. #16811265	C₂²	semidirect
85. #16811265	C₂²	semidirect
86. #16811263	C₂²	semidirect
87. #16811263	C₂²	semidirect
88. #16811263	C₂²	semidirect
89. #16811263	C₂²	semidirect
90. #16811262	C₂²	semidirect
91. #16811261	C₂²	semidirect
92. #16811261	C₂²	semidirect
93. #16811260	C₂²	semidirect
94. #16811260	C₂²	semidirect
95. #16811260	C₂²	semidirect
96. #16811260	C₂²	semidirect
97. #16811260	C₂²	semidirect
98. #16811258	C₂²	semidirect
99. D₄×C₂²⋊D₅₃	C₂²	semidirect
100. D₄×C₂²⋊D₅₃	C₂²	semidirect
101. D₄×C₂²⋊D₅₃	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. #16811255	C₂²	semidirect
107. #16811255	C₂²	semidirect
108. #16811255	C₂²	semidirect
109. #16811255	C₂²	semidirect
110. #16811255	C₂²	semidirect
111. #16811243	C₂²	semidirect
112. #16811240	C₂²	semidirect
113. #16811238	C₂²	semidirect
114. #16811237	C₂²	semidirect
115. #16811227	C₂²	semidirect
116. #16811224	C₂²	semidirect
117. #16811223	C₂²	semidirect
118. #16811223	C₂²	semidirect
119. #16811219	C₂²	semidirect
120. #16811218	C₂²	semidirect
121. #16811217	C₂²	semidirect
122. #16811216	C₂²	semidirect
123. #16811215	C₂²	semidirect
124. #16811215	C₂²	semidirect
125. #16811211	C₂²	semidirect
126. #16811211	C₂²	semidirect
127. #16811209	C₂²	semidirect
128. #16811208	C₂²	semidirect
129. #16811208	C₂²	semidirect
130. #16811208	C₂²	semidirect
131. #16811208	C₂²	semidirect
132. #16811208	C₂²	semidirect
133. #16811208	C₂²	semidirect
134. #16811208	C₂²	semidirect
135. #16811208	C₂²	semidirect
136. #16811208	C₂²	semidirect
137. #16811208	C₂²	semidirect
138. #16811208	C₂²	semidirect
139. #16811208	C₂²	semidirect
140. #16811207	C₂²	semidirect
141. #16811206	C₂²	semidirect
142. #16811206	C₂²	semidirect
143. #16811205	C₂²	semidirect
144. #16811205	C₂²	semidirect
145. #16811205	C₂²	semidirect
146. #16811205	C₂²	semidirect
147. #16811201	C₂²	semidirect
148. #16811200	C₂²	semidirect
149. #16811190	C₂²	semidirect
150. #16811190	C₂²	semidirect
151. #16811189	C₂²	semidirect
152. #16811188	C₂²	semidirect
153. #16811188	C₂²	semidirect
154. #16811186	C₂²	semidirect
155. #16811185	C₂²	semidirect
156. #16811183	C₂²	semidirect
157. #16811183	C₂²	semidirect
158. #16811183	C₂²	semidirect
159. #16811182	C₂²	semidirect
160. #16811182	C₂²	semidirect
161. #16811182	C₂²	semidirect
162. #16811182	C₂²	semidirect
163. #16811182	C₂²	semidirect
164. #16811182	C₂²	semidirect
165. #16811182	C₂²	semidirect
166. #16811182	C₂²	semidirect
167. #16811182	C₂²	semidirect
168. #16811181	C₂²	semidirect
169. #16811181	C₂²	semidirect
170. #16811169	C₂²	semidirect
171. #16811168	C₂²	semidirect
172. #16811153	C₂²	semidirect
173. #16811150	C₂²	semidirect
174. C₂×#13133210	C₂²	semidirect
175. C₂×#13133210	C₂²	semidirect
176. C₂×#13133204	C₂²	semidirect
177. C₂×#13133203	C₂²	semidirect
178. #16811134	C₂²	semidirect
179. #16811132	C₂²	semidirect
180. #16811129	C₂²	semidirect
181. #16811129	C₂²	semidirect
182. C₂×#13133200	C₂²	semidirect
183. C₂×#13133199	C₂²	semidirect
184. C₂×#13133198	C₂²	semidirect
185. C₂×#13133198	C₂²	semidirect
186. C₂×#13133198	C₂²	semidirect
187. C₂×#13133194	C₂²	semidirect
188. C₂×#13133189	C₂²	semidirect
189. C₂×#13133189	C₂²	semidirect
190. C₂×#13133189	C₂²	semidirect
191. C₂×#13133189	C₂²	semidirect
192. C₂×#13133189	C₂²	semidirect
193. C₂×#13133188	C₂²	semidirect
194. #121×D₅₃	C₂²	semidirect
195. C₂×#13133186	C₂²	semidirect
196. C₂×#13133186	C₂²	semidirect
197. C₂×#13133186	C₂²	semidirect
198. C₂×#13133185	C₂²	semidirect
199. C₂×#13133185	C₂²	semidirect
200. #120×D₅₃	C₂²	semidirect
201. #16811098	C₂²	semidirect
202. #16811096	C₂²	semidirect
203. C₂×D₄×Dic₅₃	C₂²	semidirect
204. C₂×#13133177	C₂²	semidirect
205. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
206. C₂×H(5,𝔽₂)×C₅₃	C₂²	semidirect
207. C₂³×D₄×C₅₃	C₂²	semidirect
208. C₅₃×#546	C₂²	semidirect
209. C₅₃×#546	C₂²	semidirect
210. D₄²×C₅₃	C₂²	semidirect
211. D₄²×C₅₃	C₂²	semidirect
212. C₅₃×#535	C₂²	semidirect
213. C₅₃×#534	C₂²	semidirect
214. C₅₃×#534	C₂²	semidirect
215. C₅₃×#525	C₂²	semidirect
216. C₂×#120×C₅₃	C₂²	semidirect
217. C₂×#120×C₅₃	C₂²	semidirect
218. C₅₃×#518	C₂²	semidirect
223. C₂×#11719945	C₂³	semidirect
224. C₂×#11719945	C₂³	semidirect
226. C₂×#11719947	C₂³	semidirect
227. C₂×#11719947	C₂³	semidirect
228. C₂×#11719947	C₂³	semidirect
229. C₂²×Dic₁₀₆	C₂³	semidirect
241. C₂²×C₂²⋊D₅₃	C₂³	semidirect
242. C₂²×C₂²⋊D₅₃	C₂³	semidirect
243. C₂²×C₂²⋊D₅₃	C₂³	semidirect
244. C₂²×C₂²⋊D₅₃	C₂³	semidirect
246. C₂×D₄×D₅₃	C₂³	semidirect
247. C₂×D₄×D₅₃	C₂³	semidirect
248. C₂×D₄×D₅₃	C₂³	semidirect
249. C₂×D₄×D₅₃	C₂³	semidirect
250. C₂×D₄×D₅₃	C₂³	semidirect
253. C₂³×Dic₅₃	C₂³	semidirect
254. C₂²×C₄×D₅₃	C₂³	semidirect
255. #13133216	C₂³	semidirect
256. #13133215	C₂³	semidirect
261. #13133213	C₂³	semidirect
262. #13133213	C₂³	semidirect
263. #13133212	C₂³	semidirect
264. #13133212	C₂³	semidirect
265. #13133212	C₂³	semidirect
266. #13133212	C₂³	semidirect
267. #13133211	C₂³	semidirect
268. #13133211	C₂³	semidirect
269. #13133210	C₂³	semidirect
270. #13133210	C₂³	semidirect
271. #13133210	C₂³	semidirect
272. #13133210	C₂³	semidirect
273. #13133210	C₂³	semidirect
274. #13133210	C₂³	semidirect
275. #13133210	C₂³	semidirect
276. #13133210	C₂³	semidirect
277. #13133210	C₂³	semidirect
278. #13133210	C₂³	semidirect
279. #13133210	C₂³	semidirect
280. #13133210	C₂³	semidirect
281. #13133210	C₂³	semidirect
282. #13133210	C₂³	semidirect
283. #13133209	C₂³	semidirect
284. #13133208	C₂³	semidirect
285. #13133207	C₂³	semidirect
286. #13133207	C₂³	semidirect
287. #13133207	C₂³	semidirect
288. #13133207	C₂³	semidirect
289. #13133206	C₂³	semidirect
290. #13133205	C₂³	semidirect
293. #13133204	C₂³	semidirect
294. #13133204	C₂³	semidirect
295. #13133204	C₂³	semidirect
296. #13133204	C₂³	semidirect
297. #13133204	C₂³	semidirect
298. #13133204	C₂³	semidirect
301. #13133203	C₂³	semidirect
302. #13133203	C₂³	semidirect
303. #13133203	C₂³	semidirect
304. #13133203	C₂³	semidirect
305. #13133203	C₂³	semidirect
306. #13133203	C₂³	semidirect
307. #13133203	C₂³	semidirect
308. #13133203	C₂³	semidirect
309. #13133203	C₂³	semidirect
310. #13133203	C₂³	semidirect
311. #13133202	C₂³	semidirect
312. #13133202	C₂³	semidirect
313. #13133202	C₂³	semidirect
314. #13133202	C₂³	semidirect
316. #13133201	C₂³	semidirect
317. #13133201	C₂³	semidirect
318. #13133201	C₂³	semidirect
324. #13133200	C₂³	semidirect
325. #13133200	C₂³	semidirect
326. #13133200	C₂³	semidirect
327. #13133200	C₂³	semidirect
328. #13133200	C₂³	semidirect
331. #13133199	C₂³	semidirect
332. #13133199	C₂³	semidirect
333. #13133199	C₂³	semidirect
334. #13133199	C₂³	semidirect
335. #13133199	C₂³	semidirect
336. #13133199	C₂³	semidirect
337. #13133199	C₂³	semidirect
338. #13133199	C₂³	semidirect
339. #13133199	C₂³	semidirect
340. #13133199	C₂³	semidirect
350. #13133198	C₂³	semidirect
351. #13133198	C₂³	semidirect
352. #13133198	C₂³	semidirect
353. #13133198	C₂³	semidirect
354. #13133198	C₂³	semidirect
355. #13133198	C₂³	semidirect
356. #13133198	C₂³	semidirect
357. #13133198	C₂³	semidirect
358. #13133198	C₂³	semidirect
359. #13133197	C₂³	semidirect
360. #13133196	C₂³	semidirect
361. #13133196	C₂³	semidirect
362. #13133196	C₂³	semidirect
363. #13133196	C₂³	semidirect
364. #13133195	C₂³	semidirect
365. #13133195	C₂³	semidirect
366. #13133195	C₂³	semidirect
367. #13133195	C₂³	semidirect
370. #13133194	C₂³	semidirect
371. #13133194	C₂³	semidirect
372. #13133194	C₂³	semidirect
373. #13133194	C₂³	semidirect
374. #13133194	C₂³	semidirect
375. #13133194	C₂³	semidirect
376. #13133194	C₂³	semidirect
377. #13133194	C₂³	semidirect
378. #13133193	C₂³	semidirect
379. #13133193	C₂³	semidirect
380. #13133192	C₂³	semidirect
381. #13133191	C₂³	semidirect
382. #13133191	C₂³	semidirect
383. #13133191	C₂³	semidirect
384. #13133191	C₂³	semidirect
385. #13133191	C₂³	semidirect
386. #13133191	C₂³	semidirect
391. #13133190	C₂³	semidirect
392. #13133190	C₂³	semidirect
393. #13133190	C₂³	semidirect
394. #13133190	C₂³	semidirect
395. #13133190	C₂³	semidirect
396. #13133190	C₂³	semidirect
411. #13133189	C₂³	semidirect
412. #13133189	C₂³	semidirect
413. #13133189	C₂³	semidirect
414. #13133189	C₂³	semidirect
415. #13133189	C₂³	semidirect
416. #13133189	C₂³	semidirect
417. #13133189	C₂³	semidirect
418. #13133189	C₂³	semidirect
419. #13133189	C₂³	semidirect
420. #13133189	C₂³	semidirect
421. #13133189	C₂³	semidirect
422. #13133189	C₂³	semidirect
423. #13133189	C₂³	semidirect
424. #13133189	C₂³	semidirect
425. #13133189	C₂³	semidirect
426. #13133189	C₂³	semidirect
427. #13133189	C₂³	semidirect
428. #13133189	C₂³	semidirect
429. #13133189	C₂³	semidirect
430. #13133189	C₂³	semidirect
435. #13133188	C₂³	semidirect
436. #13133188	C₂³	semidirect
437. #13133188	C₂³	semidirect
438. #13133188	C₂³	semidirect
439. #13133188	C₂³	semidirect
440. #13133188	C₂³	semidirect
441. #13133188	C₂³	semidirect
442. #13133188	C₂³	semidirect
444. #13133187	C₂³	semidirect
445. #13133187	C₂³	semidirect
446. #13133187	C₂³	semidirect
447. #13133187	C₂³	semidirect
448. #13133187	C₂³	semidirect
458. #13133186	C₂³	semidirect
459. #13133186	C₂³	semidirect
460. #13133186	C₂³	semidirect
461. #13133186	C₂³	semidirect
462. #13133186	C₂³	semidirect
474. #13133185	C₂³	semidirect
475. #13133185	C₂³	semidirect
476. #13133185	C₂³	semidirect
477. #13133185	C₂³	semidirect
478. #13133185	C₂³	semidirect
479. #13133185	C₂³	semidirect
480. #13133185	C₂³	semidirect
481. C₄×Dic₁₀₆	C₂³	semidirect
482. #13133182	C₂³	semidirect
483. C₄×D₂₁₂	C₂³	semidirect
486. D₄×Dic₅₃	C₂³	semidirect
487. D₄×Dic₅₃	C₂³	semidirect
488. D₄×Dic₅₃	C₂³	semidirect
489. D₄×Dic₅₃	C₂³	semidirect
490. D₄×Dic₅₃	C₂³	semidirect
491. D₄×Dic₅₃	C₂³	semidirect
492. D₄×Dic₅₃	C₂³	semidirect
493. D₄×Dic₅₃	C₂³	semidirect
494. #13133179	C₂³	semidirect
495. C₄×C₂²⋊D₅₃	C₂³	semidirect
496. C₄×C₂²⋊D₅₃	C₂³	semidirect
497. C₄×C₂²⋊D₅₃	C₂³	semidirect
498. C₄×C₂²⋊D₅₃	C₂³	semidirect
499. C₄×C₂²⋊D₅₃	C₂³	semidirect
500. C₄×C₂²⋊D₅₃	C₂³	semidirect
501. C₄×C₂²⋊D₅₃	C₂³	semidirect
502. C₄×C₂²⋊D₅₃	C₂³	semidirect
503. C₄×C₂²⋊D₅₃	C₂³	semidirect
504. C₄×C₂²⋊D₅₃	C₂³	semidirect
507. #13133177	C₂³	semidirect
508. #13133177	C₂³	semidirect
509. #13133177	C₂³	semidirect
510. #13133177	C₂³	semidirect
511. #13133177	C₂³	semidirect
512. #13133177	C₂³	semidirect
513. #13133177	C₂³	semidirect
514. #13133177	C₂³	semidirect
515. #13133177	C₂³	semidirect
516. #13133177	C₂³	semidirect
518. #13133176	C₂³	semidirect
519. #13133175	C₂³	semidirect
520. #13133174	C₂³	semidirect
521. #13133174	C₂³	semidirect
523. #13133173	C₂³	semidirect
524. #13133173	C₂³	semidirect
525. C₂×C₄⋊Dic₅₃	C₂³	semidirect
526. C₂×C₄⋊Dic₅₃	C₂³	semidirect
529. C₂×#11719919	C₂³	semidirect
530. C₂×#11719919	C₂³	semidirect
531. C₂×#11719919	C₂³	semidirect
532. C₂×#11719919	C₂³	semidirect
533. C₂×#11719919	C₂³	semidirect
534. C₄⋊C₄×D₅₃	C₂³	semidirect
548. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
549. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
550. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
551. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
554. C₂×#11719921	C₂³	semidirect
555. C₂×#11719921	C₂³	semidirect
556. C₂×#11719921	C₂³	semidirect
558. C₂²⋊C₄×D₅₃	C₂³	semidirect
559. C₂²⋊C₄×D₅₃	C₂³	semidirect
560. C₂²⋊C₄×D₅₃	C₂³	semidirect
561. C₂²⋊C₄×D₅₃	C₂³	semidirect
562. C₂×C₄×Dic₅₃	C₂³	semidirect
563. C₂×C₄×Dic₅₃	C₂³	semidirect
568. C₂×#41×C₅₃	C₂³	semidirect
580. C₂²×D₄×C₅₃	C₂³	semidirect
581. C₂²×D₄×C₅₃	C₂³	semidirect
590. #123×C₅₃	C₂³	semidirect
591. C₂²⋊Q₈×C₅₃	C₂³	semidirect
596. #121×C₅₃	C₂³	semidirect
597. #121×C₅₃	C₂³	semidirect
598. #121×C₅₃	C₂³	semidirect
606. #120×C₅₃	C₂³	semidirect
607. #120×C₅₃	C₂³	semidirect
608. #120×C₅₃	C₂³	semidirect
609. C₄×D₄×C₅₃	C₂³	semidirect
610. C₄×D₄×C₅₃	C₂³	semidirect
611. C₄×D₄×C₅₃	C₂³	semidirect
612. C₄×D₄×C₅₃	C₂³	semidirect
618. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
1089. #3484	D₅₃	semidirect
1106. C₂×H(5,𝔽₂)	C₂×D₅₃	semidirect
1108. C₂³×D₄	C₂×D₅₃	semidirect
1180. #546	C₂×D₅₃	semidirect
1181. #546	C₂×D₅₃	semidirect
1195. D₄²	C₂×D₅₃	semidirect
1196. D₄²	C₂×D₅₃	semidirect
1241. #535	C₂×D₅₃	semidirect
1257. #534	C₂×D₅₃	semidirect
1258. #534	C₂×D₅₃	semidirect
1271. #525	C₂×D₅₃	semidirect
1291. C₂×#120	C₂×D₅₃	semidirect
1292. C₂×#120	C₂×D₅₃	semidirect
1295. #518	C₂×D₅₃	semidirect
1299. C₅₃	#62863	semidirect
1314. C₂×#41	C₂²×D₅₃	semidirect
1348. C₂²×D₄	C₂²×D₅₃	semidirect
1349. C₂²×D₄	C₂²×D₅₃	semidirect
1466. #123	C₂²×D₅₃	semidirect
1488. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1556. #121	C₂²×D₅₃	semidirect
1557. #121	C₂²×D₅₃	semidirect
1558. #121	C₂²×D₅₃	semidirect
1604. #120	C₂²×D₅₃	semidirect
1605. #120	C₂²×D₅₃	semidirect
1606. #120	C₂²×D₅₃	semidirect
1643. C₄×D₄	C₂²×D₅₃	semidirect
1644. C₄×D₄	C₂²×D₅₃	semidirect
1645. C₄×D₄	C₂²×D₅₃	semidirect
1646. C₄×D₄	C₂²×D₅₃	semidirect
1697. 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
#20289259	2
#20289255	2
#20289229	2
#20289225	2
#20288946	2
#20288945	2
#20288900	2
#20288893	2
#20288888	2
#20288879	2
#20288876	2
#20288870	2
#20288869	2
#20288867	2
#20288552	2
#20288545	2
#20288476	2
#20288474	2
#20288350	2
#20288344	2
C₂×#16811208	2
C₂×#16811182	2
C₅₃×#3484	2
#62863	53