Subgroups — #72251291

Order 2048.

At least 9279 conjugacy classes of subgroups; only the 3366 normal subgroups are shown.

The subgroup lattice has 1091 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72251157	C₂	1	1	yes	maximal, characteristic, complemented
2	#72251143	C₂	1	1	yes	maximal, characteristic, complemented
3	#72251140	C₂	1	1	yes	maximal, characteristic, complemented
4	#72251140	C₂	1	1	yes	maximal, characteristic, complemented
5	#72251045	C₂	1	4	yes	maximal, complemented
6	#72240462	C₂	1	4	yes	maximal, complemented
7	#72240439	C₂	1	4	yes	maximal, complemented
8	#72238613	C₂	1	1	yes	maximal, characteristic, complemented
9	#72237959	C₂	1	4	yes	maximal, complemented
10	#72237956	C₂	1	4	yes	maximal, complemented
11	#72237900	C₂	1	1	yes	maximal, characteristic, complemented
12	#72237899	C₂	1	1	yes	maximal, characteristic, complemented
13	#72237897	C₂	1	4	yes	maximal, complemented
14	#72237897	C₂	1	4	yes	maximal, complemented
15	#72237829	C₂	1	1	yes	maximal, characteristic, complemented
16	#72237787	C₂	1	4	yes	maximal, complemented
17	#72237765	C₂	1	4	yes	maximal, complemented
18	#72237764	C₂	1	4	yes	maximal, complemented
19	#72234661	C₂	1	1	yes	maximal, characteristic, complemented
20	#72225723	C₂	1	4	yes	maximal, complemented
21	#72225713	C₂	1	1	yes	maximal, characteristic, complemented
22	#72225707	C₂	1	4	yes	maximal, complemented
23	#72225667	C₂	1	1	yes	maximal, characteristic, complemented
24	#72225650	C₂	1	1	yes	maximal, characteristic, complemented
25	#72225617	C₂	1	1	yes	maximal, characteristic, complemented
26	#72219301	C₂	1	1	yes	maximal, characteristic, complemented
27	#72213862	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²×#3484	C₂²	1	1	yes	characteristic
29	#7641845	C₂²	1	2	yes	complemented
30	#7630939	C₂²	1	1	yes	characteristic
31	C₂×#34980	C₂²	1	1	yes	characteristic
32	#7513948	C₂²	1	4	yes	complemented
33	#7513948	C₂²	1	4	yes	complemented
34	C₂×#32700	C₂²	1	4	yes	complemented
35	C₂×#32873	C₂²	1	1	yes	characteristic, complemented
36	#6629258	C₂²	1	2	yes	complemented
37	#6628892	C₂²	1	2	yes	complemented
38	#6628892	C₂²	1	2	yes	complemented
39	#6451879	C₂²	1	4	yes	complemented
40	#6451879	C₂²	1	4	yes	complemented
41	#6451863	C₂²	1	4	yes	complemented
42	#6451863	C₂²	1	4	yes	complemented
43	#6451863	C₂²	1	4	yes	complemented
44	#6448647	C₂²	1	4	yes	complemented
45	#6440460	C₂²	1	1	yes	characteristic
46	#6440460	C₂²	1	1	yes	characteristic
47	#6440460	C₂²	1	2	yes	complemented
48	#6440460	C₂²	1	1	yes	characteristic, complemented
49	#6437995	C₂²	1	4	yes	—
50	#6437995	C₂²	1	2	yes	complemented
51	#6437995	C₂²	1	2	yes	complemented
52	C₂×#23895	C₂²	1	1	yes	characteristic
53	C₂×#23895	C₂²	1	1	yes	characteristic
54	C₂×#23895	C₂²	1	2	yes	complemented
55	#6437621	C₂²	1	1	yes	characteristic
56	#6437621	C₂²	1	1	yes	characteristic
57	#6437621	C₂²	1	2	yes	complemented
58	#6437621	C₂²	1	1	yes	characteristic, complemented
59	#6437621	C₂²	1	2	yes	complemented
60	#6432949	C₂²	1	4	yes	—
61	#6432949	C₂²	1	2	yes	complemented
62	#6379010	C₂²	1	2	yes	complemented
63	#6374251	C₂²	1	1	yes	characteristic, complemented
64	C₂×#21776	C₂²	1	1	yes	characteristic
65	C₂×#21776	C₂²	1	1	yes	characteristic
66	C₂×#21776	C₂²	1	1	yes	characteristic, complemented
67	C₂×#21776	C₂²	1	2	yes	complemented
68	#6374128	C₂²	1	1	yes	characteristic, complemented
69	C₂×#21746	C₂²	1	2	yes	complemented
70	#6370693	C₂²	1	2	yes	complemented
71	C₂²×#1781	C₂²	1	1	yes	characteristic
72	#477178	C₂²	1	4	yes	complemented
73	#477178	C₂²	1	4	yes	complemented
74	#473443	C₂²	1	4	yes	complemented
75	#473443	C₂²	1	4	yes	complemented
76	#470736	C₂²	1	4	yes	complemented
77	#470591	C₂²	1	4	yes	complemented
78	#469730	C₂²	1	4	yes	complemented
79	#469730	C₂²	1	4	yes	complemented
80	#469730	C₂²	1	4	yes	complemented
81	#462081	C₂²	1	4	yes	complemented
82	#461181	C₂²	1	4	yes	complemented
83	#460624	C₂²	1	4	yes	complemented
84	#460624	C₂²	1	4	yes	complemented
85	#457579	C₂²	1	4	yes	complemented
86	#457579	C₂²	1	4	yes	complemented
87	#457579	C₂²	1	4	yes	complemented
88	#457579	C₂²	1	4	yes	complemented
89	#456653	C₂²	1	4	yes	complemented
90	#456653	C₂²	1	4	yes	complemented
91	#456653	C₂²	1	4	yes	complemented
92	#454465	C₂²	1	4	yes	complemented
93	#453952	C₂²	1	4	yes	—
94	#453952	C₂²	1	4	yes	complemented
95	#453952	C₂²	1	4	yes	complemented
96	#453952	C₂²	1	4	yes	complemented
97	#451024	C₂²	1	4	yes	complemented
98	#451024	C₂²	1	4	yes	complemented
99	#450923	C₂²	1	4	yes	complemented
100	#450923	C₂²	1	4	yes	complemented
101	#449959	C₂²	1	4	yes	complemented
102	#449883	C₂²	1	4	yes	complemented
103	#449883	C₂²	1	4	yes	complemented
104	#440777	C₂²	1	4	yes	complemented
105	#440777	C₂²	1	4	yes	complemented
106	#437714	C₂²	1	4	yes	complemented
107	#436464	C₂²	1	4	yes	complemented
108	#436464	C₂²	1	4	yes	complemented
109	#435781	C₂²	1	4	yes	complemented
110	#435781	C₂²	1	4	yes	complemented
111	#435522	C₂²	1	4	yes	complemented
112	#433540	C₂²	1	4	yes	complemented
113	#433540	C₂²	1	4	yes	complemented
114	#432891	C₂²	1	4	yes	complemented
115	#432891	C₂²	1	4	yes	complemented
116	#432839	C₂²	1	4	yes	complemented
117	#432839	C₂²	1	4	yes	complemented
118	#432170	C₂²	1	4	yes	complemented
119	#428399	C₂²	1	4	yes	complemented
120	#428399	C₂²	1	4	yes	complemented
121	#428399	C₂²	1	4	yes	complemented
122	#427935	C₂²	1	4	yes	complemented
123	#427935	C₂²	1	4	yes	complemented
124	#427935	C₂²	1	4	yes	complemented
125	#427819	C₂²	1	4	yes	complemented
126	#427819	C₂²	1	4	yes	complemented
127	#427668	C₂²	1	4	yes	complemented
128	#427379	C₂²	1	4	yes	complemented
129	#427239	C₂²	1	4	yes	complemented
130	#427239	C₂²	1	4	yes	complemented
131	#427239	C₂²	1	4	yes	complemented
132	#425255	C₂²	1	4	yes	complemented
133	#424602	C₂²	1	4	yes	complemented
134	#421918	C₂²	1	4	yes	complemented
135	#421918	C₂²	1	4	yes	complemented
136	#421918	C₂²	1	4	yes	complemented
137	#421918	C₂²	1	4	yes	complemented
138	#419812	C₂²	1	4	yes	complemented
139	#419812	C₂²	1	4	yes	complemented
140	#419459	C₂²	1	4	yes	complemented
141	#419459	C₂²	1	4	yes	complemented
142	#419459	C₂²	1	4	yes	complemented
143	#418911	C₂²	1	4	yes	complemented
144	#418911	C₂²	1	4	yes	complemented
145	#418911	C₂²	1	4	yes	complemented
146	#418849	C₂²	1	4	yes	complemented
147	#418849	C₂²	1	4	yes	complemented
148	#418849	C₂²	1	4	yes	complemented
149	#418849	C₂²	1	4	yes	complemented
150	#418849	C₂²	1	4	yes	complemented
151	#405772	C₂²	1	4	yes	complemented
152	#405772	C₂²	1	4	yes	complemented
153	#405156	C₂²	1	2	yes	complemented
154	#404038	C₂²	1	4	yes	complemented
155	#403943	C₂²	1	4	yes	complemented
156	#401480	C₂²	1	4	yes	complemented
157	#401480	C₂²	1	4	yes	complemented
158	#396094	C₂²	1	4	yes	complemented
159	#395529	C₂²	1	4	yes	complemented
160	#395529	C₂²	1	4	yes	complemented
161	#395529	C₂²	1	4	yes	complemented
162	#395133	C₂²	1	4	yes	complemented
163	#394547	C₂²	1	4	yes	complemented
164	#394547	C₂²	1	2	yes	complemented
165	#394547	C₂²	1	4	yes	complemented
166	#394547	C₂²	1	2	yes	complemented
167	#394547	C₂²	1	4	yes	complemented
168	#394470	C₂²	1	4	yes	complemented
169	#394470	C₂²	1	4	yes	complemented
170	#394412	C₂²	1	4	yes	complemented
171	#394064	C₂²	1	4	yes	—
172	#394064	C₂²	1	2	yes	complemented
173	#394064	C₂²	1	2	yes	complemented
174	#394064	C₂²	1	2	yes	complemented
175	#394064	C₂²	1	2	yes	complemented
176	#394058	C₂²	1	4	yes	—
177	#394058	C₂²	1	2	yes	complemented
178	#392699	C₂²	1	2	yes	complemented
179	#392231	C₂²	1	2	yes	complemented
180	#392109	C₂²	1	1	yes	characteristic
181	#392109	C₂²	1	1	yes	characteristic
182	#392109	C₂²	1	1	yes	characteristic
183	#392030	C₂²	1	1	yes	characteristic, complemented
184	#392030	C₂²	1	1	yes	characteristic, complemented
185	#392030	C₂²	1	1	yes	characteristic, complemented
186	#388376	C₂²	1	4	yes	complemented
187	#388376	C₂²	1	4	yes	complemented
188	#385868	C₂²	1	4	yes	complemented
189	#384297	C₂²	1	4	yes	complemented
190	#384249	C₂²	1	4	yes	complemented
191	#384163	C₂²	1	4	yes	complemented
192	#383139	C₂²	1	4	yes	complemented
193	#383139	C₂²	1	4	yes	complemented
194	#383139	C₂²	1	4	yes	complemented
195	#383139	C₂²	1	4	yes	complemented
196	#383139	C₂²	1	4	yes	complemented
197	#383139	C₂²	1	4	yes	complemented
198	#383139	C₂²	1	4	yes	complemented
199	#383139	C₂²	1	4	yes	complemented
200	#383139	C₂²	1	4	yes	complemented
201	#382707	C₂²	1	1	yes	characteristic, complemented
202	#382707	C₂²	1	1	yes	characteristic, complemented
203	#382544	C₂²	1	1	yes	characteristic, complemented
204	#382434	C₂²	1	1	yes	characteristic
205	#382434	C₂²	1	1	yes	characteristic
206	#382434	C₂²	1	2	yes	complemented
207	#382434	C₂²	1	1	yes	characteristic, complemented
208	#379733	C₂²	1	2	yes	complemented
209	#378118	C₂²	1	4	yes	complemented
210	#376180	C₂²	1	4	yes	complemented
211	#371020	C₂²	1	4	yes	complemented
212	#366633	C₂²	1	4	yes	complemented
213	#366633	C₂²	1	4	yes	complemented
214	#364440	C₂²	1	4	yes	complemented
215	#364410	C₂²	1	4	yes	complemented
216	#361793	C₂²	1	2	yes	complemented
217	#361793	C₂²	1	4	yes	complemented
218	#359892	C₂²	1	2	yes	complemented
219	#359811	C₂²	1	1	yes	characteristic, complemented
220	#359756	C₂²	1	2	yes	complemented
221	#359705	C₂²	1	2	yes	complemented
222	#359591	C₂²	1	4	yes	complemented
223	#359591	C₂²	1	4	yes	complemented
224	#359591	C₂²	1	2	yes	complemented
225	#359549	C₂²	1	1	yes	characteristic
226	#359549	C₂²	1	1	yes	characteristic
227	#359549	C₂²	1	2	yes	complemented
228	#359501	C₂²	1	4	yes	complemented
229	#359501	C₂²	1	2	yes	complemented
230	#359442	C₂²	1	4	yes	complemented
231	#359442	C₂²	1	2	yes	complemented
232	#359442	C₂²	1	2	yes	complemented
233	#359442	C₂²	1	1	yes	characteristic, complemented
234	#355096	C₂²	1	1	yes	characteristic, complemented
235	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
236	C₂⁵×D₄	C₂³	1	1	yes	characteristic
237	#62844	C₂³	1	4	yes	complemented
238	C₂×#3484	C₂³	1	1	yes	characteristic
239	C₂×#3484	C₂³	1	1	yes	characteristic
240	C₂×#3484	C₂³	1	1	yes	characteristic
241	C₂×#3484	C₂³	1	2	yes	—
242	C₂×#3484	C₂³	1	1	yes	characteristic
243	C₂×#3484	C₂³	1	2	yes	—
244	C₂×#3484	C₂³	1	1	yes	characteristic
245	C₂×#3484	C₂³	1	1	yes	characteristic
246	C₂×#3484	C₂³	1	1	yes	characteristic
247	C₂²×#534	C₂³	1	2	yes	—
248	C₂²×#534	C₂³	1	1	yes	characteristic
249	C₂²×#534	C₂³	1	1	yes	characteristic
250	C₂³×#120	C₂³	1	2	yes	—
251	C₂³×#120	C₂³	1	1	yes	characteristic
252	C₂²×#518	C₂³	1	1	yes	characteristic
253	C₂×#3026	C₂³	1	4	yes	—
254	C₂×#3026	C₂³	1	4	yes	—
255	C₂×#3026	C₂³	1	2	yes	—
256	C₂×#3026	C₂³	1	2	yes	—
257	C₂×#3026	C₂³	1	2	yes	—
258	C₂×#3026	C₂³	1	2	yes	—
259	C₂×#3026	C₂³	1	2	yes	—
260	C₂×#3026	C₂³	1	2	yes	—
261	C₂×#3026	C₂³	1	2	yes	complemented
262	C₂×#2883	C₂³	1	2	yes	—
263	C₂×#2883	C₂³	1	2	yes	—
264	C₂×#2883	C₂³	1	4	yes	—
265	C₂×#2883	C₂³	1	2	yes	complemented
266	C₂³×#99	C₂³	1	2	yes	—
267	C₂³×#99	C₂³	1	2	yes	—
268	C₂×#2846	C₂³	1	2	yes	—
269	#34992	C₂³	1	2	yes	—
270	#34992	C₂³	1	2	yes	—
271	#34992	C₂³	1	4	yes	—
272	#34992	C₂³	1	2	yes	complemented
273	#34982	C₂³	1	4	yes	complemented
274	#34981	C₂³	1	4	yes	—
275	#34981	C₂³	1	4	yes	—
276	#34980	C₂³	1	4	yes	—
277	#34980	C₂³	1	2	yes	—
278	#34980	C₂³	1	2	yes	—
279	#34980	C₂³	1	2	yes	—
280	#34980	C₂³	1	2	yes	—
281	#34980	C₂³	1	2	yes	—
282	#34980	C₂³	1	2	yes	—
283	#34980	C₂³	1	2	yes	—
284	#34980	C₂³	1	2	yes	—
285	#34980	C₂³	1	4	yes	—
286	#34980	C₂³	1	2	yes	—
287	#34980	C₂³	1	2	yes	complemented
288	#34198	C₂³	1	4	yes	complemented
289	#34176	C₂³	1	2	yes	complemented
290	#34171	C₂³	1	1	yes	characteristic
291	#34171	C₂³	1	1	yes	characteristic
292	#34171	C₂³	1	1	yes	characteristic
293	#34171	C₂³	1	4	yes	—
294	#34171	C₂³	1	2	yes	complemented
295	C₂×#2308	C₂³	1	1	yes	characteristic
296	C₂×#2308	C₂³	1	1	yes	characteristic
297	C₂²×#379	C₂³	1	1	yes	characteristic
298	C₂²×#379	C₂³	1	2	yes	—
299	#23903	D₄	1	8	yes	complemented
300	#23901	D₄	1	4	yes	complemented
301	#23900	D₄	1	4	yes	complemented
302	C₂×#2104	C₂³	1	4	yes	complemented
303	C₂×#2104	C₂³	1	4	yes	complemented
304	#23515	C₂³	1	4	yes	—
305	#23515	C₂³	1	4	yes	—
306	#23515	C₂³	1	4	yes	—
307	#23515	C₂³	1	4	yes	—
308	#23515	C₂³	1	4	yes	—
309	#23515	C₂³	1	4	yes	—
310	#23515	C₂³	1	4	yes	complemented
311	#23515	C₂³	1	4	yes	complemented
312	#23515	C₂³	1	4	yes	complemented
313	#23515	C₂³	1	4	yes	complemented
314	#23515	C₂³	1	4	yes	complemented
315	#23515	C₂³	1	4	yes	complemented
316	#23515	C₂³	1	4	yes	complemented
317	#23515	C₂³	1	4	yes	complemented
318	C₂×#2032	C₂³	1	4	yes	—
319	C₂×#2032	C₂³	1	4	yes	—
320	C₂×#2032	C₂³	1	4	yes	complemented
321	C₂×#2032	C₂³	1	4	yes	complemented
322	C₂×#2032	C₂³	1	4	yes	complemented
323	C₂×#2032	C₂³	1	4	yes	complemented
324	C₂×#2032	C₂³	1	4	yes	complemented
325	#23468	C₂³	1	4	yes	complemented
326	#23468	C₂³	1	4	yes	complemented
327	C₂×#2029	C₂³	1	4	yes	—
328	C₂×#2029	C₂³	1	4	yes	complemented
329	#23444	C₂³	1	4	yes	—
330	#23444	C₂³	1	4	yes	—
331	#23444	C₂³	1	4	yes	—
332	#23444	C₂³	1	4	yes	—
333	#23444	C₂³	1	4	yes	—
334	#23444	C₂³	1	4	yes	—
335	#23444	C₂³	1	4	yes	—
336	#23444	C₂³	1	4	yes	—
337	#23444	C₂³	1	4	yes	complemented
338	#23444	C₂³	1	4	yes	complemented
339	#23444	C₂³	1	4	yes	complemented
340	#23444	C₂³	1	4	yes	complemented
341	C₂×#2021	C₂³	1	4	yes	—
342	C₂×#2021	C₂³	1	4	yes	—
343	C₂×#2021	C₂³	1	4	yes	—
344	C₂×#2021	C₂³	1	4	yes	—
345	C₂×#2021	C₂³	1	4	yes	—
346	C₂×#2021	C₂³	1	4	yes	complemented
347	#21333	C₂³	1	4	yes	complemented
348	#21213	C₂³	1	4	yes	—
349	#21213	C₂³	1	4	yes	—
350	#21213	C₂³	1	4	yes	complemented
351	#21213	C₂³	1	4	yes	complemented
352	#21213	C₂³	1	4	yes	complemented
353	C₂×#1913	C₂³	1	4	yes	—
354	C₂×#1913	C₂³	1	2	yes	—
355	C₂×#1913	C₂³	1	4	yes	—
356	C₂×#1913	C₂³	1	2	yes	—
357	C₂×#1913	C₂³	1	2	yes	—
358	C₂×#1913	C₂³	1	4	yes	—
359	C₂×#1913	C₂³	1	4	yes	—
360	C₂×#1913	C₂³	1	2	yes	—
361	C₂×#1913	C₂³	1	4	yes	—
362	C₂×#1913	C₂³	1	4	yes	—
363	C₂×#1913	C₂³	1	2	yes	—
364	C₂×#1913	C₂³	1	4	yes	—
365	C₂×#1913	C₂³	1	2	yes	—
366	C₂×#1913	C₂³	1	4	yes	complemented
367	C₂×#1913	C₂³	1	4	yes	complemented
368	C₂×#1913	C₂³	1	4	yes	complemented
369	C₂×#1913	C₂³	1	4	yes	complemented
370	C₂×#1913	C₂³	1	2	yes	complemented
371	C₂×#1913	C₂³	1	2	yes	complemented
372	C₂×#1913	C₂³	1	4	yes	complemented
373	C₂×#1913	C₂³	1	4	yes	complemented
374	#20984	C₂³	1	4	yes	—
375	#20984	C₂³	1	4	yes	—
376	#20984	C₂³	1	4	yes	complemented
377	#20984	C₂³	1	4	yes	complemented
378	#20984	C₂³	1	4	yes	complemented
379	#20984	C₂³	1	4	yes	complemented
380	#20984	C₂³	1	4	yes	complemented
381	#20984	C₂³	1	4	yes	complemented
382	C₂×#1898	C₂³	1	2	yes	—
383	C₂×#1898	C₂³	1	2	yes	—
384	C₂×#1898	C₂³	1	2	yes	—
385	C₂×#1898	C₂³	1	4	yes	—
386	C₂×#1898	C₂³	1	4	yes	—
387	C₂×#1898	C₂³	1	4	yes	—
388	C₂×#1898	C₂³	1	2	yes	—
389	C₂×#1898	C₂³	1	2	yes	complemented
390	C₂×#1898	C₂³	1	4	yes	complemented
391	C₂×#1898	C₂³	1	2	yes	complemented
392	#20960	C₂³	1	4	yes	—
393	#20960	C₂³	1	2	yes	—
394	#20960	C₂³	1	2	yes	—
395	#20960	C₂³	1	2	yes	—
396	#20960	C₂³	1	2	yes	—
397	#20960	C₂³	1	4	yes	complemented
398	#20960	C₂³	1	2	yes	complemented
399	#20960	C₂³	1	4	yes	complemented
400	#20960	C₂³	1	4	yes	complemented
401	#20960	C₂³	1	4	yes	complemented
402	#20960	C₂³	1	4	yes	complemented
403	C₂×#1889	C₂³	1	4	yes	—
404	C₂×#1889	C₂³	1	4	yes	—
405	C₂×#1889	C₂³	1	4	yes	—
406	C₂×#1889	C₂³	1	4	yes	—
407	C₂×#1889	C₂³	1	4	yes	—
408	C₂×#1889	C₂³	1	4	yes	—
409	C₂×#1889	C₂³	1	4	yes	complemented
410	C₂×#1889	C₂³	1	4	yes	complemented
411	#20889	C₂³	1	4	yes	—
412	#20889	C₂³	1	2	yes	—
413	#20889	C₂³	1	2	yes	—
414	#20889	C₂³	1	4	yes	complemented
415	#20889	C₂³	1	4	yes	complemented
416	#20889	C₂³	1	2	yes	complemented
417	#20889	C₂³	1	4	yes	complemented
418	C₂×#1828	C₂³	1	2	yes	—
419	C₂×#1828	C₂³	1	2	yes	—
420	C₂×#1828	C₂³	1	2	yes	—
421	C₂×#1828	C₂³	1	2	yes	—
422	C₂×#1828	C₂³	1	4	yes	complemented
423	C₂×#1828	C₂³	1	4	yes	complemented
424	C₂×#1828	C₂³	1	2	yes	complemented
425	C₂×#1828	C₂³	1	4	yes	complemented
426	C₂×#1828	C₂³	1	2	yes	complemented
427	#20689	C₂³	1	4	yes	complemented
428	#20689	C₂³	1	4	yes	complemented
429	C₂×#1819	C₂³	1	4	yes	—
430	C₂×#1819	C₂³	1	2	yes	complemented
431	C₂×#1819	C₂³	1	2	yes	complemented
432	#20633	C₂³	1	2	yes	complemented
433	#20633	C₂³	1	4	yes	complemented
434	#20633	C₂³	1	4	yes	complemented
435	#20609	C₂³	1	2	yes	—
436	#20609	C₂³	1	4	yes	—
437	#20609	C₂³	1	2	yes	—
438	#20609	C₂³	1	4	yes	—
439	#20609	C₂³	1	2	yes	—
440	#20609	C₂³	1	2	yes	—
441	#20609	C₂³	1	2	yes	complemented
442	#20585	C₂³	1	2	yes	—
443	#20585	C₂³	1	4	yes	—
444	#20585	C₂³	1	2	yes	—
445	#20585	C₂³	1	2	yes	complemented
446	C₂×#1781	C₂³	1	1	yes	characteristic
447	C₂×#1781	C₂³	1	1	yes	characteristic
448	C₂×#1781	C₂³	1	2	yes	—
449	C₂×#1781	C₂³	1	1	yes	characteristic
450	C₂×#1781	C₂³	1	4	yes	—
451	C₂×#1781	C₂³	1	2	yes	—
452	C₂×#1781	C₂³	1	1	yes	characteristic
453	C₂×#1781	C₂³	1	1	yes	characteristic
454	C₂×#1781	C₂³	1	1	yes	characteristic
455	C₂×#1781	C₂³	1	2	yes	—
456	C₂×#1781	C₂³	1	1	yes	characteristic
457	C₂×#1781	C₂³	1	2	yes	—
458	C₂×#1781	C₂³	1	4	yes	—
459	C₂×#1781	C₂³	1	4	yes	—
460	C₂×#1781	C₂³	1	2	yes	—
461	C₂×#1781	C₂³	1	2	yes	—
462	C₂×#1781	C₂³	1	2	yes	—
463	C₂×#1781	C₂³	1	2	yes	—
464	C₂×#1781	C₂³	1	2	yes	—
465	C₂×#1781	C₂³	1	2	yes	—
466	C₂×#1781	C₂³	1	2	yes	—
467	C₂×#1781	C₂³	1	2	yes	—
468	C₂×#1781	C₂³	1	2	yes	—
469	C₂×#1781	C₂³	1	2	yes	—
470	C₂×#1781	C₂³	1	2	yes	—
471	C₂×#1781	C₂³	1	2	yes	—
472	C₂×#1781	C₂³	1	2	yes	—
473	C₂×#1781	C₂³	1	2	yes	—
474	C₂×#1781	C₂³	1	1	yes	characteristic
475	C₂×#1781	C₂³	1	2	yes	complemented
476	C₂×#1781	C₂³	1	2	yes	complemented
477	#20392	C₂³	1	2	yes	complemented
478	#20392	C₂³	1	4	yes	complemented
479	#14679	C₂³	1	2	yes	—
480	#14679	C₂³	1	2	yes	—
481	#14679	C₂³	1	2	yes	—
482	#11394	C₂³	1	4	yes	complemented
483	#11351	C₂³	1	4	yes	complemented
484	#11351	C₂³	1	4	yes	complemented
485	#11351	C₂³	1	4	yes	complemented
486	#11351	C₂³	1	4	yes	complemented
487	#11351	C₂³	1	4	yes	complemented
488	#11318	C₂³	1	4	yes	complemented
489	#11318	C₂³	1	4	yes	complemented
490	#11318	C₂³	1	4	yes	complemented
491	#11318	C₂³	1	4	yes	complemented
492	#11318	C₂³	1	4	yes	complemented
493	#11318	C₂³	1	4	yes	complemented
494	#11279	C₂³	1	4	yes	complemented
495	#11279	C₂³	1	4	yes	complemented
496	#11279	C₂³	1	4	yes	complemented
497	#11279	C₂³	1	4	yes	complemented
498	#11279	C₂³	1	4	yes	complemented
499	#11279	C₂³	1	4	yes	complemented
500	#11279	C₂³	1	4	yes	complemented
501	#11279	C₂³	1	4	yes	complemented
502	#11279	C₂³	1	4	yes	complemented
503	#11279	C₂³	1	4	yes	complemented
504	#11279	C₂³	1	4	yes	complemented
505	#11205	C₂³	1	4	yes	complemented
506	#11205	C₂³	1	4	yes	complemented
507	#11205	C₂³	1	4	yes	complemented
508	#11205	C₂³	1	4	yes	complemented
509	#11205	C₂³	1	4	yes	complemented
510	#11172	C₂³	1	4	yes	—
511	#11172	C₂³	1	4	yes	—
512	#11172	C₂³	1	4	yes	complemented
513	#11172	C₂³	1	4	yes	complemented
514	#11172	C₂³	1	4	yes	complemented
515	#11172	C₂³	1	4	yes	complemented
516	#11172	C₂³	1	4	yes	complemented
517	#11172	C₂³	1	4	yes	complemented
518	#11172	C₂³	1	4	yes	complemented
519	#11172	C₂³	1	4	yes	complemented
520	#11172	C₂³	1	4	yes	complemented
521	#11172	C₂³	1	4	yes	complemented
522	#11172	C₂³	1	4	yes	complemented
523	#11172	C₂³	1	4	yes	complemented
524	#11169	C₂³	1	4	yes	—
525	#11169	C₂³	1	4	yes	—
526	#11169	C₂³	1	4	yes	complemented
527	#11169	C₂³	1	4	yes	complemented
528	#11169	C₂³	1	4	yes	complemented
529	#11169	C₂³	1	4	yes	complemented
530	#11169	C₂³	1	4	yes	complemented
531	#11166	C₂³	1	4	yes	—
532	#11166	C₂³	1	4	yes	—
533	#11166	C₂³	1	4	yes	complemented
534	#11166	C₂³	1	4	yes	complemented
535	#11166	C₂³	1	4	yes	complemented
536	#11166	C₂³	1	4	yes	complemented
537	#11089	C₂³	1	4	yes	—
538	#11089	C₂³	1	4	yes	—
539	#11089	C₂³	1	4	yes	—
540	#11089	C₂³	1	4	yes	—
541	#11089	C₂³	1	4	yes	—
542	#11089	C₂³	1	4	yes	—
543	#11089	C₂³	1	4	yes	complemented
544	#11089	C₂³	1	4	yes	complemented
545	#11089	C₂³	1	4	yes	complemented
546	#11089	C₂³	1	4	yes	complemented
547	#11089	C₂³	1	4	yes	complemented
548	#11089	C₂³	1	4	yes	complemented
549	#11089	C₂³	1	4	yes	complemented
550	#11089	C₂³	1	4	yes	complemented
551	#11089	C₂³	1	4	yes	complemented
552	#11089	C₂³	1	4	yes	complemented
553	#11089	C₂³	1	4	yes	complemented
554	#11089	C₂³	1	4	yes	complemented
555	#11089	C₂³	1	4	yes	complemented
556	#11089	C₂³	1	4	yes	complemented
557	#11089	C₂³	1	4	yes	complemented
558	#11069	C₂³	1	4	yes	—
559	#11069	C₂³	1	4	yes	—
560	#11069	C₂³	1	4	yes	—
561	#11069	C₂³	1	4	yes	—
562	#11069	C₂³	1	4	yes	—
563	#11069	C₂³	1	4	yes	—
564	#11069	C₂³	1	4	yes	complemented
565	#11069	C₂³	1	4	yes	complemented
566	#11069	C₂³	1	4	yes	complemented
567	#11069	C₂³	1	4	yes	complemented
568	#11069	C₂³	1	4	yes	complemented
569	#11069	C₂³	1	4	yes	complemented
570	#11046	C₂³	1	4	yes	—
571	#11046	C₂³	1	4	yes	—
572	#11046	C₂³	1	4	yes	complemented
573	#11046	C₂³	1	4	yes	complemented
574	#11046	C₂³	1	4	yes	complemented
575	#11046	C₂³	1	4	yes	complemented
576	#11046	C₂³	1	4	yes	complemented
577	#11046	C₂³	1	4	yes	complemented
578	#11046	C₂³	1	4	yes	complemented
579	#11046	C₂³	1	4	yes	complemented
580	#11046	C₂³	1	4	yes	complemented
581	#10991	C₂³	1	4	yes	—
582	#10991	C₂³	1	4	yes	—
583	#10991	C₂³	1	4	yes	—
584	#10991	C₂³	1	4	yes	—
585	#10991	C₂³	1	4	yes	—
586	#10991	C₂³	1	4	yes	—
587	#10991	C₂³	1	4	yes	—
588	#10991	C₂³	1	4	yes	—
589	#10991	C₂³	1	4	yes	—
590	#10991	C₂³	1	4	yes	—
591	#10991	C₂³	1	4	yes	—
592	#10991	C₂³	1	4	yes	—
593	#10991	C₂³	1	4	yes	complemented
594	#10991	C₂³	1	4	yes	complemented
595	#10991	C₂³	1	4	yes	complemented
596	#10991	C₂³	1	4	yes	complemented
597	#10972	C₂³	1	4	yes	—
598	#10972	C₂³	1	4	yes	—
599	#10972	C₂³	1	4	yes	—
600	#10972	C₂³	1	4	yes	—
601	#10972	C₂³	1	4	yes	—
602	#10972	C₂³	1	4	yes	—
603	#10972	C₂³	1	4	yes	—
604	#10972	C₂³	1	4	yes	—
605	#10972	C₂³	1	4	yes	—
606	#10972	C₂³	1	4	yes	—
607	#10972	C₂³	1	4	yes	complemented
608	#10972	C₂³	1	4	yes	complemented
609	#10972	C₂³	1	4	yes	complemented
610	#10972	C₂³	1	4	yes	complemented
611	#10972	C₂³	1	4	yes	complemented
612	#10972	C₂³	1	4	yes	complemented
613	#10972	C₂³	1	4	yes	complemented
614	#10972	C₂³	1	4	yes	complemented
615	#10938	C₂³	1	4	yes	—
616	#10938	C₂³	1	4	yes	—
617	#10938	C₂³	1	4	yes	complemented
618	#10938	C₂³	1	4	yes	complemented
619	#10938	C₂³	1	4	yes	complemented
620	#10938	C₂³	1	4	yes	complemented
621	#10938	C₂³	1	4	yes	complemented
622	#10938	C₂³	1	4	yes	complemented
623	#10938	C₂³	1	4	yes	complemented
624	#10938	C₂³	1	4	yes	complemented
625	#10935	C₂³	1	4	yes	—
626	#10935	C₂³	1	4	yes	—
627	#10935	C₂³	1	4	yes	complemented
628	#10935	C₂³	1	4	yes	complemented
629	#10915	C₂³	1	4	yes	complemented
630	#10915	C₂³	1	4	yes	complemented
631	#10829	C₂³	1	4	yes	complemented
632	#10829	C₂³	1	4	yes	complemented
633	#10829	C₂³	1	4	yes	complemented
634	#10768	C₂³	1	4	yes	—
635	#10768	C₂³	1	4	yes	—
636	#10768	C₂³	1	2	yes	complemented
637	#10768	C₂³	1	2	yes	complemented
638	#10754	C₂³	1	4	yes	—
639	#10754	C₂³	1	2	yes	—
640	#10754	C₂³	1	2	yes	—
641	#10754	C₂³	1	4	yes	complemented
642	#10754	C₂³	1	4	yes	complemented
643	#10754	C₂³	1	4	yes	complemented
644	#10754	C₂³	1	4	yes	complemented
645	#10754	C₂³	1	2	yes	complemented
646	#10754	C₂³	1	2	yes	complemented
647	#10735	C₂³	1	4	yes	—
648	#10735	C₂³	1	4	yes	—
649	#10735	C₂³	1	4	yes	—
650	#10735	C₂³	1	2	yes	complemented
651	#10735	C₂³	1	2	yes	complemented
652	#10735	C₂³	1	2	yes	complemented
653	#10735	C₂³	1	2	yes	complemented
654	#10735	C₂³	1	2	yes	complemented
655	#10735	C₂³	1	4	yes	complemented
656	#10735	C₂³	1	2	yes	complemented
657	#10735	C₂³	1	4	yes	complemented
658	#10735	C₂³	1	4	yes	complemented
659	#10725	C₂³	1	4	yes	complemented
660	#10725	C₂³	1	4	yes	complemented
661	C₂⁷	#41	1	1	yes	characteristic, complemented
662	C₂⁷	C₂⁴	1	1	yes	characteristic
663	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
664	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
665	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
666	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
667	C₂⁴×D₄	#41	1	1	yes	characteristic, complemented
668	C₂⁴×D₄	#41	1	1	yes	characteristic, complemented
669	C₂⁴×D₄	#41	1	1	yes	characteristic, complemented
670	C₂⁴×D₄	#41	1	1	yes	characteristic, complemented
671	C₂⁴×D₄	#41	1	1	yes	characteristic, complemented
672	C₂⁴×D₄	#41	1	1	yes	characteristic, complemented
673	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
674	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
675	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
676	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
677	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
678	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
679	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
680	C₂⁴×D₄	C₂⁴	1	2	yes	—
681	C₂⁵×C₄	#41	1	1	yes	characteristic, complemented
682	#3484	C₂×D₄	1	4	yes	—
683	#3484	C₂×D₄	1	4	yes	—
684	C₂×#543	C₂⁴	1	4	yes	—
685	C₂×#534	C₂×D₄	1	4	yes	—
686	C₂×#534	C₂⁴	1	2	yes	—
687	C₂×#534	C₂⁴	1	2	yes	—
688	C₂×#534	C₂⁴	1	2	yes	—
689	C₂×#534	C₂⁴	1	2	yes	—
690	C₂×#534	C₂⁴	1	4	yes	—
691	C₂×#534	C₂⁴	1	2	yes	—
692	C₂×#534	C₂⁴	1	2	yes	—
693	C₂×#534	C₂⁴	1	2	yes	—
694	C₂×#534	C₂⁴	1	2	yes	—
695	C₂×#534	C₂⁴	1	4	yes	—
696	C₂×#534	C₂⁴	1	4	yes	—
697	C₂×#534	C₂⁴	1	4	yes	—
698	C₂×#534	C₂⁴	1	2	yes	—
699	C₂×#534	C₂⁴	1	4	yes	—
700	C₂×#534	C₂⁴	1	2	yes	—
701	C₂×#534	C₂⁴	1	2	yes	—
702	C₂²×#123	C₂×D₄	1	2	yes	—
703	C₂²×#120	C₂×D₄	1	2	yes	—
704	C₂²×#120	C₂⁴	1	2	yes	—
705	C₂²×#120	C₂⁴	1	2	yes	—
706	C₂²×#120	C₂⁴	1	2	yes	—
707	C₂²×#120	C₂⁴	1	2	yes	—
708	C₂²×#120	C₂⁴	1	2	yes	—
709	C₂²×#120	C₂⁴	1	2	yes	—
710	C₂²×#120	C₂⁴	1	2	yes	—
711	C₂²×#120	C₂⁴	1	2	yes	—
712	C₂²×#120	C₂⁴	1	2	yes	—
713	C₂×#518	C₂⁴	1	1	yes	characteristic
714	C₂×#518	C₂⁴	1	1	yes	characteristic
715	C₂×#518	C₂⁴	1	2	yes	—
716	C₂×#518	C₂⁴	1	4	yes	—
717	C₂×#518	C₂⁴	1	1	yes	characteristic
718	C₂×#518	C₂⁴	1	4	yes	—
719	C₂×#518	C₂⁴	1	1	yes	characteristic
720	C₂×#518	C₂⁴	1	1	yes	characteristic
721	C₂×#518	C₂⁴	1	4	yes	—
722	C₂×#518	C₂⁴	1	4	yes	—
723	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
724	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
725	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
726	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
727	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
728	C₂×#458	C₂×D₄	1	8	yes	complemented
729	C₂×B(4,𝔽₂)	C₂×D₄	1	8	yes	complemented
730	C₂²×#99	C₂⁴	1	4	yes	—
731	C₂²×#99	C₂⁴	1	4	yes	—
732	C₂²×#99	C₂⁴	1	4	yes	—
733	C₂²×#99	C₂⁴	1	2	yes	—
734	C₂²×#99	C₂⁴	1	2	yes	—
735	C₂²×#99	C₂⁴	1	2	yes	—
736	C₂²×#99	C₂⁴	1	4	yes	—
737	C₂²×#99	C₂⁴	1	4	yes	—
738	C₂²×#99	C₂⁴	1	4	yes	—
739	C₂²×#99	C₂⁴	1	4	yes	—
740	C₂²×#99	C₂⁴	1	4	yes	—
741	C₂²×#99	C₂⁴	1	2	yes	—
742	C₂²×#99	C₂⁴	1	2	yes	—
743	C₂²×#99	C₂⁴	1	2	yes	—
744	C₂²×#99	C₂⁴	1	2	yes	—
745	C₂²×#99	C₂⁴	1	4	yes	—
746	C₂²×#99	C₂⁴	1	2	yes	—
747	C₂²×#99	C₂⁴	1	4	yes	—
748	C₂²×#99	C₂⁴	1	2	yes	—
749	C₂²×#99	C₂⁴	1	2	yes	—
750	C₂²×#99	C₂⁴	1	4	yes	—
751	C₂²×#99	C₂⁴	1	4	yes	—
752	C₂²×#99	C₂⁴	1	4	yes	—
753	C₂²×#99	C₂⁴	1	4	yes	—
754	C₂²×#99	C₂⁴	1	4	yes	—
755	C₂²×#99	C₂⁴	1	4	yes	—
756	C₂²×#99	C₂⁴	1	2	yes	—
757	C₂²×#99	C₂⁴	1	4	yes	—
758	C₂²×#99	C₂⁴	1	4	yes	—
759	C₂²×#99	C₂⁴	1	2	yes	—
760	C₂²×#99	C₂⁴	1	2	yes	—
761	C₂²×#99	C₂⁴	1	2	yes	—
762	C₂²×#99	C₂⁴	1	4	yes	—
763	C₂²×#99	C₂⁴	1	4	yes	—
764	C₂²×#99	C₂⁴	1	4	yes	—
765	C₂²×#99	C₂⁴	1	4	yes	—
766	C₂²×#99	C₂⁴	1	4	yes	—
767	C₂²×#99	C₂⁴	1	4	yes	—
768	C₂²×#99	C₂⁴	1	4	yes	—
769	C₂²×#99	C₂⁴	1	4	yes	—
770	C₂²×#99	C₂⁴	1	4	yes	—
771	C₂²×#99	C₂⁴	1	4	yes	—
772	C₂²×#99	C₂⁴	1	4	yes	—
773	C₂²×#99	C₂⁴	1	2	yes	—
774	C₂²×#99	C₂⁴	1	2	yes	—
775	C₂²×#99	C₂⁴	1	4	yes	—
776	#2849	C₂×D₄	1	4	yes	complemented
777	#2846	C₂×D₄	1	4	yes	complemented
778	#2613	C₂×D₄	1	8	yes	complemented
779	#2315	C₂⁴	1	4	yes	—
780	#2315	C₂⁴	1	4	yes	—
781	#2315	C₂⁴	1	4	yes	—
782	#2315	C₂⁴	1	4	yes	—
783	#2315	C₂⁴	1	4	yes	—
784	#2315	C₂⁴	1	4	yes	—
785	#2315	C₂⁴	1	4	yes	—
786	#2315	C₂⁴	1	4	yes	—
787	#2308	C₂⁴	1	2	yes	—
788	#2308	C₂⁴	1	2	yes	—
789	#2308	C₂⁴	1	4	yes	—
790	#2308	C₂⁴	1	2	yes	—
791	#2308	C₂⁴	1	2	yes	—
792	#2308	C₂⁴	1	4	yes	—
793	#2308	C₂⁴	1	2	yes	—
794	#2308	C₂⁴	1	2	yes	—
795	#2308	C₂⁴	1	2	yes	—
796	#2308	C₂⁴	1	4	yes	—
797	#2308	C₂⁴	1	4	yes	—
798	#2308	C₂⁴	1	4	yes	—
799	#2308	C₂⁴	1	4	yes	—
800	#2308	C₂⁴	1	4	yes	—
801	#2308	C₂⁴	1	4	yes	—
802	#2308	C₂⁴	1	4	yes	—
803	#2308	C₂⁴	1	4	yes	—
804	#2308	C₂⁴	1	4	yes	—
805	#2308	C₂⁴	1	4	yes	—
806	C₂×#379	C₂⁴	1	2	yes	—
807	C₂×#379	C₂⁴	1	2	yes	—
808	C₂×#379	C₂⁴	1	4	yes	—
809	C₂×#379	C₂⁴	1	2	yes	—
810	C₂×#379	C₂⁴	1	2	yes	—
811	C₂×#379	C₂⁴	1	2	yes	—
812	C₂×#379	C₂⁴	1	4	yes	—
813	C₂×#379	C₂⁴	1	4	yes	—
814	C₂×#379	C₂⁴	1	4	yes	—
815	C₂×#379	C₂⁴	1	2	yes	—
816	C₂×#379	C₂⁴	1	2	yes	—
817	C₂×#379	C₂⁴	1	2	yes	—
818	C₂×#379	C₂⁴	1	2	yes	—
819	C₂×#379	C₂⁴	1	2	yes	—
820	C₂×#379	C₂⁴	1	2	yes	—
821	C₂×#379	C₂⁴	1	4	yes	—
822	C₂×#379	C₂⁴	1	4	yes	—
823	C₂×#379	C₂⁴	1	4	yes	—
824	C₂×#379	C₂⁴	1	2	yes	—
825	C₂×#379	C₂⁴	1	2	yes	—
826	#2273	C₂⁴	1	4	yes	—
827	#2273	C₂⁴	1	4	yes	—
828	#2022	C₂×D₄	1	16	yes	—
829	#2021	C₂×D₄	1	16	yes	—
830	#1898	C₂×D₄	1	8	yes	complemented
831	#1898	C₂×D₄	1	8	yes	complemented
832	#1890	C₂×D₄	1	8	yes	complemented
833	#1889	C₂×D₄	1	8	yes	complemented
834	#1781	C₂×D₄	1	4	yes	—
835	#1781	C₂×D₄	1	4	yes	—
836	C₂×#342	C₂⁴	1	4	yes	—
837	C₂×#342	C₂⁴	1	4	yes	—
838	C₂×#342	C₂⁴	1	4	yes	—
839	C₂×#342	C₂⁴	1	4	yes	—
840	C₂×#342	C₂⁴	1	4	yes	—
841	C₂×#342	C₂⁴	1	4	yes	—
842	C₂×#342	C₂⁴	1	4	yes	—
843	C₂×#342	C₂⁴	1	4	yes	—
844	C₂×#342	C₂⁴	1	4	yes	—
845	C₂×#342	C₂⁴	1	4	yes	—
846	C₂×#342	C₂⁴	1	4	yes	—
847	C₂×#342	C₂⁴	1	4	yes	—
848	C₂×#342	C₂⁴	1	4	yes	—
849	C₂×#342	C₂⁴	1	4	yes	—
850	C₂×#342	C₂⁴	1	4	yes	—
851	C₂×#342	C₂⁴	1	4	yes	—
852	C₂×#342	C₂⁴	1	4	yes	—
853	C₂×#342	C₂⁴	1	4	yes	—
854	C₂×#342	C₂⁴	1	4	yes	—
855	C₂×#342	C₂⁴	1	4	yes	—
856	C₂×#342	C₂⁴	1	4	yes	—
857	C₂×#342	C₂⁴	1	4	yes	—
858	C₂×#342	C₂⁴	1	4	yes	—
859	C₂×#342	C₂⁴	1	4	yes	—
860	C₂×#342	C₂⁴	1	4	yes	—
861	C₂×#342	C₂⁴	1	4	yes	—
862	C₂×#342	C₂⁴	1	4	yes	—
863	C₂×#342	C₂⁴	1	4	yes	—
864	C₂×#342	C₂⁴	1	4	yes	—
865	C₂×#342	C₂⁴	1	4	yes	—
866	C₂×#342	C₂⁴	1	4	yes	—
867	C₂×#342	C₂⁴	1	4	yes	—
868	C₂×#342	C₂⁴	1	4	yes	—
869	C₂×#342	C₂⁴	1	4	yes	—
870	C₂×#342	C₂⁴	1	4	yes	—
871	C₂×#342	C₂⁴	1	4	yes	—
872	C₂×#342	C₂⁴	1	4	yes	—
873	C₂×#342	C₂⁴	1	4	yes	—
874	C₂×#342	C₂⁴	1	4	yes	—
875	C₂×#342	C₂⁴	1	4	yes	—
876	C₂×#342	C₂⁴	1	4	yes	—
877	C₂×#342	C₂⁴	1	4	yes	—
878	C₂×#342	C₂⁴	1	4	yes	—
879	C₂×#342	C₂⁴	1	4	yes	—
880	C₂×#342	C₂⁴	1	4	yes	—
881	C₂×#342	C₂⁴	1	4	yes	—
882	C₂×#342	C₂⁴	1	4	yes	—
883	C₂×#342	C₂⁴	1	4	yes	—
884	C₂×#342	C₂⁴	1	4	yes	—
885	C₂×#342	C₂⁴	1	4	yes	—
886	C₂×#342	C₂⁴	1	4	yes	—
887	C₂×#342	C₂⁴	1	4	yes	—
888	C₂×#342	C₂⁴	1	4	yes	—
889	C₂×#342	C₂⁴	1	4	yes	—
890	C₂×#342	C₂⁴	1	4	yes	—
891	C₂×#342	C₂⁴	1	4	yes	—
892	C₂×#342	C₂⁴	1	4	yes	—
893	C₂×#342	C₂⁴	1	4	yes	—
894	C₂⁶	C₂²×D₄	1	1	yes	characteristic
895	C₂⁶	C₂×#41	1	1	yes	characteristic
896	C₂⁶	C₂×#41	1	1	yes	characteristic
897	C₂⁶	C₂×#41	1	1	yes	characteristic
898	C₂⁶	C₂×#41	1	1	yes	characteristic
899	C₂⁶	C₂×#41	1	1	yes	characteristic
900	C₂⁶	C₂×#41	1	1	yes	characteristic
901	C₂⁶	C₂×#41	1	1	yes	characteristic
902	C₂⁶	C₂×#41	1	1	yes	characteristic
903	C₂⁶	C₂×#41	1	1	yes	characteristic
904	C₂⁶	C₂×#41	1	1	yes	characteristic
905	C₂⁶	H(5,𝔽₂)	1	2	yes	—
906	C₂⁶	C₂⁵	1	1	yes	characteristic
907	C₂⁶	C₂⁵	1	1	yes	characteristic
908	C₂⁶	C₂⁵	1	1	yes	characteristic
909	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
910	C₂³×D₄	C₂²×D₄	1	2	yes	—
911	C₂³×D₄	C₂²×D₄	1	2	yes	—
912	C₂³×D₄	C₂²×D₄	1	2	yes	—
913	C₂³×D₄	C₂×#41	1	1	yes	characteristic
914	C₂³×D₄	C₂×#41	1	1	yes	characteristic
915	C₂³×D₄	C₂×#41	1	1	yes	characteristic
916	C₂³×D₄	C₂×#41	1	1	yes	characteristic
917	C₂³×D₄	C₂×#41	1	1	yes	characteristic
918	C₂³×D₄	C₂×#41	1	1	yes	characteristic
919	C₂³×D₄	C₂×#41	1	1	yes	characteristic
920	C₂³×D₄	C₂×#41	1	1	yes	characteristic
921	C₂³×D₄	C₂×#41	1	1	yes	characteristic
922	C₂³×D₄	C₂×#41	1	1	yes	characteristic
923	C₂³×D₄	C₂×#41	1	1	yes	characteristic
924	C₂³×D₄	C₂×#41	1	1	yes	characteristic
925	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
926	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
927	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
928	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
929	C₂³×D₄	C₂⁵	1	2	yes	—
930	C₂³×D₄	C₂⁵	1	1	yes	characteristic
931	C₂³×D₄	C₂⁵	1	1	yes	characteristic
932	C₂³×D₄	C₂⁵	1	1	yes	characteristic
933	C₂³×D₄	C₂⁵	1	1	yes	characteristic
934	C₂³×D₄	C₂⁵	1	2	yes	—
935	C₂³×D₄	C₂⁵	1	2	yes	—
936	C₂³×D₄	C₂⁵	1	2	yes	—
937	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
938	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
939	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
940	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
941	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
942	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
943	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
944	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
945	#534	C₂²×D₄	1	8	yes	—
946	C₂×#123	C₂²×D₄	1	8	yes	—
947	C₂×#123	C₂²×D₄	1	4	yes	—
948	C₂×#123	C₂²×D₄	1	4	yes	—
949	C₂×#123	H(5,𝔽₂)	1	4	yes	—
950	C₂×#120	C₂²×D₄	1	4	yes	—
951	C₂×#120	C₂²×D₄	1	4	yes	—
952	C₂×#120	C₂²×D₄	1	8	yes	—
953	C₂×#120	C₂²×D₄	1	4	yes	—
954	C₂×#120	C₂²×D₄	1	4	yes	—
955	C₂×#120	H(5,𝔽₂)	1	4	yes	—
956	C₂×#120	H(5,𝔽₂)	1	4	yes	—
957	C₂×#120	H(5,𝔽₂)	1	4	yes	—
958	#518	C₂²×D₄	1	4	yes	—
959	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
960	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
961	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
962	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
963	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
964	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
965	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
966	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
967	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
968	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
969	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
970	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
971	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
972	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
973	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
974	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
975	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
976	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
977	C₂×#99	C₂²×D₄	1	8	yes	—
978	C₂×#99	C₂²×D₄	1	16	yes	—
979	C₂×#99	C₂²×D₄	1	8	yes	—
980	#381	C₂²×D₄	1	8	yes	—
981	#379	C₂²×D₄	1	8	yes	—
982	#379	C₂²×D₄	1	4	yes	—
983	#379	C₂²×D₄	1	4	yes	—
984	#342	C₂²×D₄	1	16	yes	—
985	C₂⁵	#546	1	2	yes	—
986	C₂⁵	#546	1	2	yes	—
987	C₂⁵	C₂³×D₄	1	2	yes	—
988	C₂⁵	C₂³×D₄	1	1	yes	characteristic
989	C₂⁵	C₂³×D₄	1	1	yes	characteristic
990	C₂⁵	C₂²×#41	1	1	yes	characteristic
991	C₂⁵	C₂²×#41	1	1	yes	characteristic
992	C₂⁵	C₂²×#41	1	1	yes	characteristic
993	C₂⁵	C₂²×#41	1	1	yes	characteristic
994	C₂⁵	C₂²×#41	1	1	yes	characteristic
995	C₂⁵	C₂²×#41	1	1	yes	characteristic
996	C₂⁵	C₂²×#41	1	1	yes	characteristic
997	C₂⁵	C₂²×#41	1	1	yes	characteristic
998	C₂⁵	C₂²×#41	1	1	yes	characteristic
999	C₂⁵	C₂²×#41	1	1	yes	characteristic
1000	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1001	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1002	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1003	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1004	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1005	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1006	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1007	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1008	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1009	C₂⁵	C₂⁶	1	1	yes	characteristic
1010	C₂²×D₄	#546	1	2	yes	—
1011	C₂²×D₄	#546	1	2	yes	—
1012	C₂²×D₄	#546	1	2	yes	—
1013	C₂²×D₄	#546	1	2	yes	—
1014	C₂²×D₄	C₂³×D₄	1	2	yes	—
1015	C₂²×D₄	C₂³×D₄	1	2	yes	—
1016	C₂²×D₄	C₂³×D₄	1	4	yes	—
1017	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
1018	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
1019	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1020	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1021	C₂³×C₄	#546	1	2	yes	—
1022	C₂³×C₄	#546	1	2	yes	—
1023	C₂³×C₄	C₂³×D₄	1	2	yes	—
1024	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1025	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1026	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1027	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1028	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1029	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1030	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1031	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1032	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
1033	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1034	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1035	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1036	C₂⁴	C₂×#546	1	1	yes	characteristic
1037	C₂⁴	C₂×#546	1	2	yes	—
1038	C₂⁴	C₂×#546	1	2	yes	—
1039	C₂⁴	C₂×#546	1	1	yes	characteristic
1040	C₂⁴	C₂×#546	1	1	yes	characteristic
1041	C₂⁴	C₂×#546	1	1	yes	characteristic
1042	C₂⁴	#3484	1	4	yes	—
1043	C₂⁴	#3490	1	1	yes	characteristic
1044	C₂⁴	#3490	1	1	yes	characteristic
1045	C₂⁴	#3490	1	2	yes	—
1046	C₂⁴	#3490	1	1	yes	characteristic
1047	C₂⁴	#3490	1	2	yes	—
1048	C₂⁴	#3490	1	1	yes	characteristic
1049	C₂⁴	#3490	1	2	yes	—
1050	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1051	C₂⁴	C₂³×#41	1	1	yes	characteristic
1052	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1053	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1054	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1055	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1056	C₂⁴	H(7,𝔽₂)	1	2	yes	—
1057	C₂⁴	H(7,𝔽₂)	1	2	yes	—
1058	C₂⁴	H(7,𝔽₂)	1	2	yes	—
1059	C₂²×C₄	C₂×#546	1	2	yes	—
1060	C₂²×C₄	C₂×#546	1	2	yes	—
1061	C₂²×C₄	#3484	1	4	yes	—
1062	C₂²×C₄	#3490	1	2	yes	—
1063	C₂³	C₂²×#546	1	1	yes	characteristic
1064	C₂³	C₂×#3484	1	2	yes	—
1065	C₂³	C₂×#3490	1	1	yes	characteristic
1066	C₂³	C₂×#3490	1	1	yes	characteristic
1067	C₂³	C₂×#3490	1	1	yes	characteristic
1068	C₂³	#62817	1	2	yes	—
1069	C₂³	#62842	1	2	yes	—
1070	C₂³	#62844	1	1	yes	characteristic
1071	C₂³	#62844	1	1	yes	characteristic
1072	C₂³	#62844	1	1	yes	characteristic
1073	C₂³	#62862	1	4	yes	—
1074	C₂³	#62862	1	2	yes	—
1075	C₂³	#62892	1	2	yes	—
1076	C₂³	#62892	1	4	yes	—
1077	C₂³	#62892	1	4	yes	—
1078	C₂³	D₄×H(5,𝔽₂)	1	2	yes	—
1079	C₂³	#63045	1	4	yes	—
1080	C₂²	#7670206	1	1	yes	characteristic
1081	C₂²	#7672777	1	1	yes	characteristic
1082	C₂²	#7675392	1	1	yes	characteristic
1083	C₂²	#7712875	1	1	yes	characteristic
1084	C₂²	#7721729	1	1	yes	characteristic
1085	C₂²	#7721729	1	1	yes	characteristic
1086	C₂²	#7806601	1	1	yes	characteristic
1087	C₂²	#7915509	1	4	yes	—
1088	C₂²	#8827761	1	4	yes	—
1089	C₂	#72235988	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	#72235988
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂⁵ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72251157	C₂	semidirect
2. #72251143	C₂	semidirect
3. #72251140	C₂	semidirect
4. #72251140	C₂	semidirect
5. #72251045	C₂	semidirect
6. #72240462	C₂	semidirect
7. #72240439	C₂	semidirect
8. #72238613	C₂	semidirect
9. #72237959	C₂	semidirect
10. #72237956	C₂	semidirect
11. #72237900	C₂	semidirect
12. #72237899	C₂	semidirect
13. #72237897	C₂	semidirect
14. #72237897	C₂	semidirect
15. #72237829	C₂	semidirect
16. #72237787	C₂	semidirect
17. #72237765	C₂	semidirect
18. #72237764	C₂	semidirect
19. #72234661	C₂	semidirect
20. #72225723	C₂	semidirect
21. #72225713	C₂	semidirect
22. #72225707	C₂	semidirect
23. #72225667	C₂	semidirect
24. #72225650	C₂	semidirect
25. #72225617	C₂	semidirect
26. #72219301	C₂	semidirect
27. #72213862	C₂	semidirect
29. #7641845	C₂²	semidirect
32. #7513948	C₂²	semidirect
33. #7513948	C₂²	semidirect
34. C₂×#32700	C₂²	semidirect
35. C₂×#32873	C₂²	semidirect
36. #6629258	C₂²	semidirect
37. #6628892	C₂²	semidirect
38. #6628892	C₂²	semidirect
39. #6451879	C₂²	semidirect
40. #6451879	C₂²	semidirect
41. #6451863	C₂²	semidirect
42. #6451863	C₂²	semidirect
43. #6451863	C₂²	semidirect
44. #6448647	C₂²	semidirect
47. #6440460	C₂²	semidirect
48. #6440460	C₂²	semidirect
50. #6437995	C₂²	semidirect
51. #6437995	C₂²	semidirect
54. C₂×#23895	C₂²	semidirect
57. #6437621	C₂²	semidirect
58. #6437621	C₂²	semidirect
59. #6437621	C₂²	semidirect
61. #6432949	C₂²	semidirect
62. #6379010	C₂²	semidirect
63. #6374251	C₂²	semidirect
66. C₂×#21776	C₂²	semidirect
67. C₂×#21776	C₂²	semidirect
68. #6374128	C₂²	semidirect
69. C₂×#21746	C₂²	semidirect
70. #6370693	C₂²	semidirect
72. #477178	C₂²	semidirect
73. #477178	C₂²	semidirect
74. #473443	C₂²	semidirect
75. #473443	C₂²	semidirect
76. #470736	C₂²	semidirect
77. #470591	C₂²	semidirect
78. #469730	C₂²	semidirect
79. #469730	C₂²	semidirect
80. #469730	C₂²	semidirect
81. #462081	C₂²	semidirect
82. #461181	C₂²	semidirect
83. #460624	C₂²	semidirect
84. #460624	C₂²	semidirect
85. #457579	C₂²	semidirect
86. #457579	C₂²	semidirect
87. #457579	C₂²	semidirect
88. #457579	C₂²	semidirect
89. #456653	C₂²	semidirect
90. #456653	C₂²	semidirect
91. #456653	C₂²	semidirect
92. #454465	C₂²	semidirect
94. #453952	C₂²	semidirect
95. #453952	C₂²	semidirect
96. #453952	C₂²	semidirect
97. #451024	C₂²	semidirect
98. #451024	C₂²	semidirect
99. #450923	C₂²	semidirect
100. #450923	C₂²	semidirect
101. #449959	C₂²	semidirect
102. #449883	C₂²	semidirect
103. #449883	C₂²	semidirect
104. #440777	C₂²	semidirect
105. #440777	C₂²	semidirect
106. #437714	C₂²	semidirect
107. #436464	C₂²	semidirect
108. #436464	C₂²	semidirect
109. #435781	C₂²	semidirect
110. #435781	C₂²	semidirect
111. #435522	C₂²	semidirect
112. #433540	C₂²	semidirect
113. #433540	C₂²	semidirect
114. #432891	C₂²	semidirect
115. #432891	C₂²	semidirect
116. #432839	C₂²	semidirect
117. #432839	C₂²	semidirect
118. #432170	C₂²	semidirect
119. #428399	C₂²	semidirect
120. #428399	C₂²	semidirect
121. #428399	C₂²	semidirect
122. #427935	C₂²	semidirect
123. #427935	C₂²	semidirect
124. #427935	C₂²	semidirect
125. #427819	C₂²	semidirect
126. #427819	C₂²	semidirect
127. #427668	C₂²	semidirect
128. #427379	C₂²	semidirect
129. #427239	C₂²	semidirect
130. #427239	C₂²	semidirect
131. #427239	C₂²	semidirect
132. #425255	C₂²	semidirect
133. #424602	C₂²	semidirect
134. #421918	C₂²	semidirect
135. #421918	C₂²	semidirect
136. #421918	C₂²	semidirect
137. #421918	C₂²	semidirect
138. #419812	C₂²	semidirect
139. #419812	C₂²	semidirect
140. #419459	C₂²	semidirect
141. #419459	C₂²	semidirect
142. #419459	C₂²	semidirect
143. #418911	C₂²	semidirect
144. #418911	C₂²	semidirect
145. #418911	C₂²	semidirect
146. #418849	C₂²	semidirect
147. #418849	C₂²	semidirect
148. #418849	C₂²	semidirect
149. #418849	C₂²	semidirect
150. #418849	C₂²	semidirect
151. #405772	C₂²	semidirect
152. #405772	C₂²	semidirect
153. #405156	C₂²	semidirect
154. #404038	C₂²	semidirect
155. #403943	C₂²	semidirect
156. #401480	C₂²	semidirect
157. #401480	C₂²	semidirect
158. #396094	C₂²	semidirect
159. #395529	C₂²	semidirect
160. #395529	C₂²	semidirect
161. #395529	C₂²	semidirect
162. #395133	C₂²	semidirect
163. #394547	C₂²	semidirect
164. #394547	C₂²	semidirect
165. #394547	C₂²	semidirect
166. #394547	C₂²	semidirect
167. #394547	C₂²	semidirect
168. #394470	C₂²	semidirect
169. #394470	C₂²	semidirect
170. #394412	C₂²	semidirect
172. #394064	C₂²	semidirect
173. #394064	C₂²	semidirect
174. #394064	C₂²	semidirect
175. #394064	C₂²	semidirect
177. #394058	C₂²	semidirect
178. #392699	C₂²	semidirect
179. #392231	C₂²	semidirect
183. #392030	C₂²	semidirect
184. #392030	C₂²	semidirect
185. #392030	C₂²	semidirect
186. #388376	C₂²	semidirect
187. #388376	C₂²	semidirect
188. #385868	C₂²	semidirect
189. #384297	C₂²	semidirect
190. #384249	C₂²	semidirect
191. #384163	C₂²	semidirect
192. #383139	C₂²	semidirect
193. #383139	C₂²	semidirect
194. #383139	C₂²	semidirect
195. #383139	C₂²	semidirect
196. #383139	C₂²	semidirect
197. #383139	C₂²	semidirect
198. #383139	C₂²	semidirect
199. #383139	C₂²	semidirect
200. #383139	C₂²	semidirect
201. #382707	C₂²	semidirect
202. #382707	C₂²	semidirect
203. #382544	C₂²	semidirect
206. #382434	C₂²	semidirect
207. #382434	C₂²	semidirect
208. #379733	C₂²	semidirect
209. #378118	C₂²	semidirect
210. #376180	C₂²	semidirect
211. #371020	C₂²	semidirect
212. #366633	C₂²	semidirect
213. #366633	C₂²	semidirect
214. #364440	C₂²	semidirect
215. #364410	C₂²	semidirect
216. #361793	C₂²	semidirect
217. #361793	C₂²	semidirect
218. #359892	C₂²	semidirect
219. #359811	C₂²	semidirect
220. #359756	C₂²	semidirect
221. #359705	C₂²	semidirect
222. #359591	C₂²	semidirect
223. #359591	C₂²	semidirect
224. #359591	C₂²	semidirect
227. #359549	C₂²	semidirect
228. #359501	C₂²	semidirect
229. #359501	C₂²	semidirect
230. #359442	C₂²	semidirect
231. #359442	C₂²	semidirect
232. #359442	C₂²	semidirect
233. #359442	C₂²	semidirect
234. #355096	C₂²	semidirect
237. #62844	C₂³	semidirect
261. C₂×#3026	C₂³	semidirect
265. C₂×#2883	C₂³	semidirect
272. #34992	C₂³	semidirect
273. #34982	C₂³	semidirect
287. #34980	C₂³	semidirect
288. #34198	C₂³	semidirect
289. #34176	C₂³	semidirect
294. #34171	C₂³	semidirect
299. #23903	D₄	semidirect
300. #23901	D₄	semidirect
301. #23900	D₄	semidirect
302. C₂×#2104	C₂³	semidirect
303. C₂×#2104	C₂³	semidirect
310. #23515	C₂³	semidirect
311. #23515	C₂³	semidirect
312. #23515	C₂³	semidirect
313. #23515	C₂³	semidirect
314. #23515	C₂³	semidirect
315. #23515	C₂³	semidirect
316. #23515	C₂³	semidirect
317. #23515	C₂³	semidirect
320. C₂×#2032	C₂³	semidirect
321. C₂×#2032	C₂³	semidirect
322. C₂×#2032	C₂³	semidirect
323. C₂×#2032	C₂³	semidirect
324. C₂×#2032	C₂³	semidirect
325. #23468	C₂³	semidirect
326. #23468	C₂³	semidirect
328. C₂×#2029	C₂³	semidirect
337. #23444	C₂³	semidirect
338. #23444	C₂³	semidirect
339. #23444	C₂³	semidirect
340. #23444	C₂³	semidirect
346. C₂×#2021	C₂³	semidirect
347. #21333	C₂³	semidirect
350. #21213	C₂³	semidirect
351. #21213	C₂³	semidirect
352. #21213	C₂³	semidirect
366. C₂×#1913	C₂³	semidirect
367. C₂×#1913	C₂³	semidirect
368. C₂×#1913	C₂³	semidirect
369. C₂×#1913	C₂³	semidirect
370. C₂×#1913	C₂³	semidirect
371. C₂×#1913	C₂³	semidirect
372. C₂×#1913	C₂³	semidirect
373. C₂×#1913	C₂³	semidirect
376. #20984	C₂³	semidirect
377. #20984	C₂³	semidirect
378. #20984	C₂³	semidirect
379. #20984	C₂³	semidirect
380. #20984	C₂³	semidirect
381. #20984	C₂³	semidirect
389. C₂×#1898	C₂³	semidirect
390. C₂×#1898	C₂³	semidirect
391. C₂×#1898	C₂³	semidirect
397. #20960	C₂³	semidirect
398. #20960	C₂³	semidirect
399. #20960	C₂³	semidirect
400. #20960	C₂³	semidirect
401. #20960	C₂³	semidirect
402. #20960	C₂³	semidirect
409. C₂×#1889	C₂³	semidirect
410. C₂×#1889	C₂³	semidirect
414. #20889	C₂³	semidirect
415. #20889	C₂³	semidirect
416. #20889	C₂³	semidirect
417. #20889	C₂³	semidirect
422. C₂×#1828	C₂³	semidirect
423. C₂×#1828	C₂³	semidirect
424. C₂×#1828	C₂³	semidirect
425. C₂×#1828	C₂³	semidirect
426. C₂×#1828	C₂³	semidirect
427. #20689	C₂³	semidirect
428. #20689	C₂³	semidirect
430. C₂×#1819	C₂³	semidirect
431. C₂×#1819	C₂³	semidirect
432. #20633	C₂³	semidirect
433. #20633	C₂³	semidirect
434. #20633	C₂³	semidirect
441. #20609	C₂³	semidirect
445. #20585	C₂³	semidirect
475. C₂×#1781	C₂³	semidirect
476. C₂×#1781	C₂³	semidirect
477. #20392	C₂³	semidirect
478. #20392	C₂³	semidirect
482. #11394	C₂³	semidirect
483. #11351	C₂³	semidirect
484. #11351	C₂³	semidirect
485. #11351	C₂³	semidirect
486. #11351	C₂³	semidirect
487. #11351	C₂³	semidirect
488. #11318	C₂³	semidirect
489. #11318	C₂³	semidirect
490. #11318	C₂³	semidirect
491. #11318	C₂³	semidirect
492. #11318	C₂³	semidirect
493. #11318	C₂³	semidirect
494. #11279	C₂³	semidirect
495. #11279	C₂³	semidirect
496. #11279	C₂³	semidirect
497. #11279	C₂³	semidirect
498. #11279	C₂³	semidirect
499. #11279	C₂³	semidirect
500. #11279	C₂³	semidirect
501. #11279	C₂³	semidirect
502. #11279	C₂³	semidirect
503. #11279	C₂³	semidirect
504. #11279	C₂³	semidirect
505. #11205	C₂³	semidirect
506. #11205	C₂³	semidirect
507. #11205	C₂³	semidirect
508. #11205	C₂³	semidirect
509. #11205	C₂³	semidirect
512. #11172	C₂³	semidirect
513. #11172	C₂³	semidirect
514. #11172	C₂³	semidirect
515. #11172	C₂³	semidirect
516. #11172	C₂³	semidirect
517. #11172	C₂³	semidirect
518. #11172	C₂³	semidirect
519. #11172	C₂³	semidirect
520. #11172	C₂³	semidirect
521. #11172	C₂³	semidirect
522. #11172	C₂³	semidirect
523. #11172	C₂³	semidirect
526. #11169	C₂³	semidirect
527. #11169	C₂³	semidirect
528. #11169	C₂³	semidirect
529. #11169	C₂³	semidirect
530. #11169	C₂³	semidirect
533. #11166	C₂³	semidirect
534. #11166	C₂³	semidirect
535. #11166	C₂³	semidirect
536. #11166	C₂³	semidirect
543. #11089	C₂³	semidirect
544. #11089	C₂³	semidirect
545. #11089	C₂³	semidirect
546. #11089	C₂³	semidirect
547. #11089	C₂³	semidirect
548. #11089	C₂³	semidirect
549. #11089	C₂³	semidirect
550. #11089	C₂³	semidirect
551. #11089	C₂³	semidirect
552. #11089	C₂³	semidirect
553. #11089	C₂³	semidirect
554. #11089	C₂³	semidirect
555. #11089	C₂³	semidirect
556. #11089	C₂³	semidirect
557. #11089	C₂³	semidirect
564. #11069	C₂³	semidirect
565. #11069	C₂³	semidirect
566. #11069	C₂³	semidirect
567. #11069	C₂³	semidirect
568. #11069	C₂³	semidirect
569. #11069	C₂³	semidirect
572. #11046	C₂³	semidirect
573. #11046	C₂³	semidirect
574. #11046	C₂³	semidirect
575. #11046	C₂³	semidirect
576. #11046	C₂³	semidirect
577. #11046	C₂³	semidirect
578. #11046	C₂³	semidirect
579. #11046	C₂³	semidirect
580. #11046	C₂³	semidirect
593. #10991	C₂³	semidirect
594. #10991	C₂³	semidirect
595. #10991	C₂³	semidirect
596. #10991	C₂³	semidirect
607. #10972	C₂³	semidirect
608. #10972	C₂³	semidirect
609. #10972	C₂³	semidirect
610. #10972	C₂³	semidirect
611. #10972	C₂³	semidirect
612. #10972	C₂³	semidirect
613. #10972	C₂³	semidirect
614. #10972	C₂³	semidirect
617. #10938	C₂³	semidirect
618. #10938	C₂³	semidirect
619. #10938	C₂³	semidirect
620. #10938	C₂³	semidirect
621. #10938	C₂³	semidirect
622. #10938	C₂³	semidirect
623. #10938	C₂³	semidirect
624. #10938	C₂³	semidirect
627. #10935	C₂³	semidirect
628. #10935	C₂³	semidirect
629. #10915	C₂³	semidirect
630. #10915	C₂³	semidirect
631. #10829	C₂³	semidirect
632. #10829	C₂³	semidirect
633. #10829	C₂³	semidirect
636. #10768	C₂³	semidirect
637. #10768	C₂³	semidirect
641. #10754	C₂³	semidirect
642. #10754	C₂³	semidirect
643. #10754	C₂³	semidirect
644. #10754	C₂³	semidirect
645. #10754	C₂³	semidirect
646. #10754	C₂³	semidirect
650. #10735	C₂³	semidirect
651. #10735	C₂³	semidirect
652. #10735	C₂³	semidirect
653. #10735	C₂³	semidirect
654. #10735	C₂³	semidirect
655. #10735	C₂³	semidirect
656. #10735	C₂³	semidirect
657. #10735	C₂³	semidirect
658. #10735	C₂³	semidirect
659. #10725	C₂³	semidirect
660. #10725	C₂³	semidirect
661. C₂⁷	#41	semidirect
667. C₂⁴×D₄	#41	semidirect
668. C₂⁴×D₄	#41	semidirect
669. C₂⁴×D₄	#41	semidirect
670. C₂⁴×D₄	#41	semidirect
671. C₂⁴×D₄	#41	semidirect
672. C₂⁴×D₄	#41	semidirect
681. C₂⁵×C₄	#41	semidirect
728. C₂×#458	C₂×D₄	semidirect
729. C₂×B(4,𝔽₂)	C₂×D₄	semidirect
776. #2849	C₂×D₄	semidirect
777. #2846	C₂×D₄	semidirect
778. #2613	C₂×D₄	semidirect
830. #1898	C₂×D₄	semidirect
831. #1898	C₂×D₄	semidirect
832. #1890	C₂×D₄	semidirect
833. #1889	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72251157	2
#72251143	2
#72251140	2
#72251045	2
#72240462	2
#72240439	2
#72238613	2
#72237959	2
#72237956	2
#72237900	2
#72237899	2
#72237897	2
#72237829	2
#72237787	2
#72237765	2
#72237764	2
#72234661	2
#72225723	2
#72225713	2
#72225707	2
#72225667	2
#72225650	2
#72225617	2
#72219301	2
#72213862	2