Subgroups — #72251306

Order 2048.

At least 9995 conjugacy classes of subgroups; only the 3658 normal subgroups are shown.

The subgroup lattice has 1109 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72251140	C₂	1	1	yes	maximal, characteristic, complemented
2	#72251140	C₂	1	1	yes	maximal, characteristic, complemented
3	#72251108	C₂	1	1	yes	maximal, characteristic, complemented
4	#72251073	C₂	1	1	yes	maximal, characteristic, complemented
5	#72240524	C₂	1	4	yes	maximal, complemented
6	#72240473	C₂	1	4	yes	maximal, complemented
7	#72240439	C₂	1	4	yes	maximal, complemented
8	#72240438	C₂	1	4	yes	maximal, complemented
9	#72238613	C₂	1	1	yes	maximal, characteristic, complemented
10	#72237960	C₂	1	4	yes	maximal, complemented
11	#72237951	C₂	1	4	yes	maximal, complemented
12	#72237950	C₂	1	4	yes	maximal, complemented
13	#72237899	C₂	1	1	yes	maximal, characteristic, complemented
14	#72237800	C₂	1	4	yes	maximal, complemented
15	#72237787	C₂	1	4	yes	maximal, complemented
16	#72237763	C₂	1	4	yes	maximal, complemented
17	#72234953	C₂	1	1	yes	maximal, characteristic, complemented
18	#72234693	C₂	1	1	yes	maximal, characteristic, complemented
19	#72234662	C₂	1	1	yes	maximal, characteristic, complemented
20	#72232592	C₂	1	1	yes	maximal, characteristic, complemented
21	#72225744	C₂	1	1	yes	maximal, characteristic, complemented
22	#72225743	C₂	1	1	yes	maximal, characteristic, complemented
23	#72225654	C₂	1	1	yes	maximal, characteristic, complemented
24	#72225633	C₂	1	4	yes	maximal, complemented
25	#72225620	C₂	1	4	yes	maximal, complemented
26	#72219157	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#6499874	C₂	1	1	yes	maximal, characteristic, complemented
28	#10586404	C₂²	1	1	yes	characteristic, complemented
29	C₂×#62817	C₂²	1	1	yes	characteristic, complemented
30	#10574873	C₂²	1	2	yes	complemented
31	C₂×#60399	C₂²	1	1	yes	characteristic
32	C₂×#60399	C₂²	1	2	yes	complemented
33	#7641845	C₂²	1	2	yes	complemented
34	#7630944	C₂²	1	2	yes	complemented
35	C₂×#34981	C₂²	1	1	yes	characteristic, complemented
36	#6453039	C₂²	1	2	yes	complemented
37	#6452266	C₂²	1	4	yes	complemented
38	#6452266	C₂²	1	4	yes	complemented
39	#6451874	C₂²	1	2	yes	complemented
40	#6451863	C₂²	1	2	yes	complemented
41	#6451863	C₂²	1	4	yes	complemented
42	#6451863	C₂²	1	2	yes	complemented
43	#6451863	C₂²	1	2	yes	complemented
44	C₂×#23996	C₂²	1	4	yes	complemented
45	C₂×#23996	C₂²	1	2	yes	complemented
46	C₂×#23996	C₂²	1	2	yes	complemented
47	C₂×#23996	C₂²	1	4	yes	complemented
48	C₂×#23996	C₂²	1	4	yes	complemented
49	C₂×#23996	C₂²	1	2	yes	complemented
50	#6448647	C₂²	1	4	yes	complemented
51	#6448647	C₂²	1	4	yes	complemented
52	#6442728	C₂²	1	4	yes	complemented
53	#6442728	C₂²	1	4	yes	complemented
54	#6442728	C₂²	1	4	yes	complemented
55	#6440460	C₂²	1	1	yes	characteristic, complemented
56	#6440460	C₂²	1	1	yes	characteristic, complemented
57	#6440460	C₂²	1	1	yes	characteristic, complemented
58	#6440460	C₂²	1	1	yes	characteristic, complemented
59	#6440460	C₂²	1	2	yes	complemented
60	#6437995	C₂²	1	4	yes	complemented
61	#6437995	C₂²	1	4	yes	complemented
62	#6437995	C₂²	1	4	yes	complemented
63	#6437632	C₂²	1	4	yes	complemented
64	#6437632	C₂²	1	4	yes	complemented
65	#6437632	C₂²	1	2	yes	complemented
66	#6437629	C₂²	1	4	yes	complemented
67	#6437629	C₂²	1	2	yes	complemented
68	C₂×#23895	C₂²	1	1	yes	characteristic
69	C₂×#23895	C₂²	1	1	yes	characteristic
70	C₂×#23895	C₂²	1	1	yes	characteristic, complemented
71	C₂×#23895	C₂²	1	4	yes	complemented
72	C₂×#23895	C₂²	1	1	yes	characteristic, complemented
73	#6437621	C₂²	1	1	yes	characteristic
74	#6437621	C₂²	1	1	yes	characteristic, complemented
75	#6437621	C₂²	1	1	yes	characteristic, complemented
76	C₂×#23900	C₂²	1	1	yes	characteristic
77	C₂×#23900	C₂²	1	4	yes	complemented
78	C₂×#23900	C₂²	1	1	yes	characteristic, complemented
79	C₂×#23900	C₂²	1	2	yes	complemented
80	C₂×#23900	C₂²	1	1	yes	characteristic, complemented
81	#6431795	C₂²	1	1	yes	characteristic, complemented
82	#6379010	C₂²	1	4	yes	complemented
83	#6374548	C₂²	1	2	yes	complemented
84	#6374251	C₂²	1	1	yes	characteristic, complemented
85	#6374210	C₂²	1	1	yes	characteristic, complemented
86	#6374187	C₂²	1	2	yes	complemented
87	C₂×#21776	C₂²	1	1	yes	characteristic, complemented
88	C₂×#21776	C₂²	1	1	yes	characteristic, complemented
89	C₂×#21776	C₂²	1	2	yes	complemented
90	C₂×#21746	C₂²	1	1	yes	characteristic, complemented
91	C₂²×#1898	C₂²	1	2	yes	complemented
92	#477178	C₂²	1	4	yes	complemented
93	#469730	C₂²	1	4	yes	complemented
94	#469730	C₂²	1	4	yes	complemented
95	#469678	C₂²	1	4	yes	complemented
96	#460969	C₂²	1	4	yes	complemented
97	#460624	C₂²	1	4	yes	complemented
98	#458573	C₂²	1	4	yes	complemented
99	#457682	C₂²	1	4	yes	complemented
100	#456653	C₂²	1	4	yes	complemented
101	#456653	C₂²	1	4	yes	complemented
102	#454367	C₂²	1	4	yes	complemented
103	#453952	C₂²	1	4	yes	complemented
104	#453952	C₂²	1	4	yes	complemented
105	#451024	C₂²	1	4	yes	complemented
106	#449959	C₂²	1	4	yes	complemented
107	#449578	C₂²	1	4	yes	complemented
108	#449578	C₂²	1	4	yes	complemented
109	#449578	C₂²	1	4	yes	complemented
110	#436464	C₂²	1	4	yes	complemented
111	#433298	C₂²	1	4	yes	complemented
112	#433298	C₂²	1	4	yes	complemented
113	#432839	C₂²	1	4	yes	complemented
114	#432170	C₂²	1	4	yes	complemented
115	#429959	C₂²	1	4	yes	complemented
116	#429959	C₂²	1	4	yes	complemented
117	#429959	C₂²	1	4	yes	complemented
118	#428399	C₂²	1	4	yes	complemented
119	#428399	C₂²	1	4	yes	complemented
120	#428399	C₂²	1	4	yes	complemented
121	#427935	C₂²	1	4	yes	complemented
122	#427935	C₂²	1	4	yes	complemented
123	#427935	C₂²	1	4	yes	complemented
124	#427819	C₂²	1	4	yes	complemented
125	#427668	C₂²	1	4	yes	complemented
126	#427379	C₂²	1	4	yes	complemented
127	#427379	C₂²	1	4	yes	complemented
128	#427239	C₂²	1	4	yes	complemented
129	#427239	C₂²	1	4	yes	complemented
130	#427239	C₂²	1	4	yes	complemented
131	#425255	C₂²	1	4	yes	complemented
132	#424602	C₂²	1	4	yes	complemented
133	#421918	C₂²	1	4	yes	complemented
134	#421918	C₂²	1	4	yes	complemented
135	#421918	C₂²	1	4	yes	complemented
136	#419812	C₂²	1	4	yes	complemented
137	#419812	C₂²	1	4	yes	complemented
138	#419812	C₂²	1	4	yes	complemented
139	#419812	C₂²	1	4	yes	complemented
140	#419812	C₂²	1	4	yes	complemented
141	#419459	C₂²	1	4	yes	complemented
142	#419459	C₂²	1	4	yes	complemented
143	#419459	C₂²	1	4	yes	complemented
144	#418911	C₂²	1	4	yes	complemented
145	#418911	C₂²	1	4	yes	complemented
146	#418911	C₂²	1	4	yes	complemented
147	#418911	C₂²	1	4	yes	complemented
148	#418911	C₂²	1	4	yes	complemented
149	#418849	C₂²	1	4	yes	complemented
150	#418849	C₂²	1	4	yes	complemented
151	#418849	C₂²	1	4	yes	complemented
152	#418849	C₂²	1	4	yes	complemented
153	#418849	C₂²	1	4	yes	complemented
154	#417538	C₂²	1	4	yes	complemented
155	#417538	C₂²	1	4	yes	complemented
156	#417538	C₂²	1	4	yes	complemented
157	#417538	C₂²	1	4	yes	complemented
158	#417538	C₂²	1	4	yes	complemented
159	#417538	C₂²	1	4	yes	complemented
160	#410851	C₂²	1	2	yes	complemented
161	#407054	C₂²	1	2	yes	complemented
162	#405772	C₂²	1	2	yes	complemented
163	#405772	C₂²	1	2	yes	complemented
164	#404038	C₂²	1	4	yes	complemented
165	#404015	C₂²	1	4	yes	complemented
166	#404015	C₂²	1	4	yes	complemented
167	#404015	C₂²	1	4	yes	complemented
168	#403943	C₂²	1	4	yes	complemented
169	#401480	C₂²	1	4	yes	complemented
170	#401060	C₂²	1	4	yes	complemented
171	#398102	C₂²	1	4	yes	complemented
172	#396094	C₂²	1	4	yes	complemented
173	#395529	C₂²	1	4	yes	complemented
174	#395529	C₂²	1	4	yes	complemented
175	#395529	C₂²	1	4	yes	complemented
176	#395529	C₂²	1	4	yes	complemented
177	#395133	C₂²	1	4	yes	complemented
178	#394470	C₂²	1	4	yes	complemented
179	#394167	C₂²	1	4	yes	complemented
180	#394064	C₂²	1	4	yes	complemented
181	#394064	C₂²	1	4	yes	complemented
182	#394064	C₂²	1	4	yes	complemented
183	#394058	C₂²	1	2	yes	complemented
184	#394058	C₂²	1	4	yes	complemented
185	#393933	C₂²	1	4	yes	complemented
186	#393933	C₂²	1	4	yes	complemented
187	#393933	C₂²	1	2	yes	complemented
188	#392675	C₂²	1	2	yes	complemented
189	#392135	C₂²	1	2	yes	complemented
190	#392030	C₂²	1	1	yes	characteristic, complemented
191	#392030	C₂²	1	1	yes	characteristic, complemented
192	#390418	C₂²	1	4	yes	complemented
193	#388376	C₂²	1	4	yes	complemented
194	#388376	C₂²	1	4	yes	complemented
195	#388376	C₂²	1	4	yes	complemented
196	#385868	C₂²	1	4	yes	complemented
197	#384297	C₂²	1	4	yes	complemented
198	#384256	C₂²	1	4	yes	complemented
199	#384249	C₂²	1	4	yes	complemented
200	#384163	C₂²	1	4	yes	complemented
201	#383139	C₂²	1	4	yes	complemented
202	#383139	C₂²	1	4	yes	complemented
203	#382707	C₂²	1	1	yes	characteristic, complemented
204	#382434	C₂²	1	1	yes	characteristic, complemented
205	#382434	C₂²	1	1	yes	characteristic, complemented
206	#382434	C₂²	1	1	yes	characteristic, complemented
207	#380263	C₂²	1	2	yes	complemented
208	#379733	C₂²	1	2	yes	complemented
209	#378118	C₂²	1	4	yes	complemented
210	#376180	C₂²	1	4	yes	complemented
211	#376180	C₂²	1	4	yes	complemented
212	#371020	C₂²	1	4	yes	complemented
213	#368784	C₂²	1	4	yes	complemented
214	#368784	C₂²	1	4	yes	complemented
215	#366633	C₂²	1	4	yes	complemented
216	#366633	C₂²	1	4	yes	complemented
217	#366633	C₂²	1	2	yes	complemented
218	#366633	C₂²	1	2	yes	complemented
219	#364532	C₂²	1	4	yes	complemented
220	#364532	C₂²	1	4	yes	complemented
221	#364440	C₂²	1	4	yes	complemented
222	#364410	C₂²	1	4	yes	complemented
223	#363969	C₂²	1	2	yes	complemented
224	#363953	C₂²	1	2	yes	complemented
225	#361312	C₂²	1	4	yes	complemented
226	#360526	C₂²	1	4	yes	complemented
227	#359591	C₂²	1	2	yes	complemented
228	#359549	C₂²	1	1	yes	characteristic, complemented
229	#359549	C₂²	1	1	yes	characteristic, complemented
230	#359528	C₂²	1	4	yes	complemented
231	#359528	C₂²	1	2	yes	complemented
232	#359501	C₂²	1	1	yes	characteristic, complemented
233	#359442	C₂²	1	1	yes	characteristic, complemented
234	#355096	C₂²	1	1	yes	characteristic, complemented
235	C₂×H(7,𝔽₂)	C₂³	1	1	yes	characteristic
236	#62844	C₂³	1	2	yes	—
237	#62844	C₂³	1	2	yes	—
238	#62842	C₂³	1	2	yes	—
239	#62842	C₂³	1	2	yes	—
240	#62842	C₂³	1	4	yes	—
241	#62842	C₂³	1	1	yes	characteristic, complemented
242	C₂×#3490	C₂³	1	2	yes	—
243	C₂×#3490	C₂³	1	2	yes	—
244	C₂×#3490	C₂³	1	2	yes	—
245	C₂×#3490	C₂³	1	2	yes	—
246	C₂×#3484	C₂³	1	2	yes	—
247	C₂×#3484	C₂³	1	2	yes	—
248	C₂×#3484	C₂³	1	1	yes	characteristic
249	C₂×#3484	C₂³	1	1	yes	characteristic
250	C₂×#3484	C₂³	1	1	yes	characteristic
251	C₂×#3484	C₂³	1	2	yes	—
252	C₂×#3484	C₂³	1	4	yes	—
253	C₂×#3484	C₂³	1	1	yes	characteristic
254	C₂×#3484	C₂³	1	1	yes	characteristic
255	C₂²×#534	C₂³	1	1	yes	characteristic
256	C₂³×#120	C₂³	1	2	yes	—
257	C₂³×#120	C₂³	1	1	yes	characteristic
258	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
259	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
260	C₂×#3026	C₂³	1	4	yes	—
261	C₂×#3026	C₂³	1	4	yes	—
262	C₂×#3026	C₂³	1	2	yes	—
263	C₂×#3026	C₂³	1	4	yes	—
264	C₂×#3026	C₂³	1	2	yes	—
265	C₂×#3026	C₂³	1	2	yes	—
266	C₂×#3026	C₂³	1	2	yes	—
267	C₂×#3026	C₂³	1	2	yes	—
268	C₂×#3026	C₂³	1	4	yes	—
269	C₂×#3026	C₂³	1	2	yes	—
270	C₂×#3026	C₂³	1	2	yes	—
271	C₂×#3026	C₂³	1	2	yes	—
272	C₂×#3026	C₂³	1	2	yes	—
273	C₂×#3026	C₂³	1	4	yes	—
274	C₂×#3026	C₂³	1	2	yes	—
275	C₂×#3026	C₂³	1	2	yes	complemented
276	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
277	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
278	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
279	C₂²×B(4,𝔽₂)	C₂³	1	2	yes	—
280	C₂²×B(4,𝔽₂)	C₂³	1	2	yes	—
281	C₂²×B(4,𝔽₂)	C₂³	1	2	yes	complemented
282	C₂×#2883	C₂³	1	4	yes	—
283	C₂×#2883	C₂³	1	1	yes	characteristic
284	C₂×#2883	C₂³	1	1	yes	characteristic
285	C₂×#2883	C₂³	1	1	yes	characteristic
286	C₂×#2883	C₂³	1	2	yes	—
287	C₂×#2883	C₂³	1	2	yes	—
288	C₂×#2883	C₂³	1	4	yes	—
289	C₂×#2883	C₂³	1	1	yes	characteristic, complemented
290	C₂×#2883	C₂³	1	1	yes	characteristic, complemented
291	C₂³×#99	C₂³	1	4	yes	—
292	C₂×#2846	C₂³	1	2	yes	—
293	C₂×#2846	C₂³	1	2	yes	—
294	C₂×#2846	C₂³	1	2	yes	complemented
295	#34992	C₂³	1	2	yes	—
296	#34992	C₂³	1	2	yes	—
297	#34992	C₂³	1	2	yes	complemented
298	#34992	C₂³	1	2	yes	complemented
299	#34992	C₂³	1	4	yes	complemented
300	#34982	C₂³	1	4	yes	complemented
301	#34981	C₂³	1	4	yes	—
302	#34981	C₂³	1	4	yes	—
303	#34981	C₂³	1	4	yes	—
304	#34981	C₂³	1	4	yes	—
305	#34981	C₂³	1	4	yes	complemented
306	#34981	C₂³	1	4	yes	complemented
307	#34980	C₂³	1	4	yes	—
308	#34980	C₂³	1	2	yes	—
309	#34980	C₂³	1	4	yes	—
310	#34980	C₂³	1	2	yes	—
311	#34980	C₂³	1	2	yes	complemented
312	#34198	C₂³	1	4	yes	—
313	#34198	C₂³	1	4	yes	—
314	#34198	C₂³	1	4	yes	complemented
315	#34176	C₂³	1	2	yes	complemented
316	#34171	C₂³	1	1	yes	characteristic
317	C₂×#2315	C₂³	1	1	yes	characteristic, complemented
318	C₂×#2308	C₂³	1	1	yes	characteristic
319	C₂×#2308	C₂³	1	1	yes	characteristic, complemented
320	C₂²×#379	C₂³	1	2	yes	complemented
321	#23903	D₄	1	8	yes	complemented
322	#23901	D₄	1	4	yes	complemented
323	#23900	D₄	1	4	yes	complemented
324	#23900	D₄	1	4	yes	complemented
325	#23900	D₄	1	4	yes	complemented
326	#23900	D₄	1	8	yes	complemented
327	#23565	C₂³	1	4	yes	complemented
328	#23515	C₂³	1	4	yes	—
329	#23515	C₂³	1	4	yes	—
330	#23515	C₂³	1	4	yes	—
331	#23515	C₂³	1	4	yes	—
332	#23515	C₂³	1	4	yes	—
333	#23515	C₂³	1	4	yes	—
334	#23515	C₂³	1	4	yes	—
335	#23515	C₂³	1	4	yes	—
336	#23515	C₂³	1	4	yes	—
337	#23515	C₂³	1	4	yes	—
338	#23515	C₂³	1	4	yes	complemented
339	#23515	C₂³	1	4	yes	complemented
340	C₂×#2032	C₂³	1	4	yes	—
341	C₂×#2032	C₂³	1	4	yes	—
342	C₂×#2032	C₂³	1	4	yes	—
343	C₂×#2032	C₂³	1	4	yes	—
344	C₂×#2032	C₂³	1	4	yes	complemented
345	C₂×#2032	C₂³	1	4	yes	complemented
346	#23468	C₂³	1	4	yes	complemented
347	#23444	C₂³	1	4	yes	—
348	#23444	C₂³	1	4	yes	—
349	#23444	C₂³	1	4	yes	—
350	#23444	C₂³	1	4	yes	—
351	#23444	C₂³	1	4	yes	—
352	#23444	C₂³	1	4	yes	—
353	#23444	C₂³	1	4	yes	—
354	#23444	C₂³	1	4	yes	—
355	#23444	C₂³	1	4	yes	—
356	#23444	C₂³	1	4	yes	—
357	#23444	C₂³	1	4	yes	—
358	#23444	C₂³	1	4	yes	—
359	#23444	C₂³	1	4	yes	—
360	#23444	C₂³	1	4	yes	—
361	#23444	C₂³	1	4	yes	complemented
362	C₂×#2021	C₂³	1	4	yes	—
363	C₂×#2021	C₂³	1	4	yes	—
364	C₂×#2021	C₂³	1	4	yes	—
365	C₂×#2021	C₂³	1	4	yes	—
366	C₂×#2021	C₂³	1	4	yes	—
367	C₂×#2021	C₂³	1	4	yes	—
368	C₂×#2021	C₂³	1	4	yes	—
369	C₂×#2021	C₂³	1	4	yes	—
370	C₂×#2021	C₂³	1	4	yes	—
371	C₂×#2021	C₂³	1	4	yes	—
372	C₂×#2021	C₂³	1	4	yes	—
373	C₂×#2021	C₂³	1	4	yes	—
374	C₂×#2021	C₂³	1	4	yes	—
375	C₂×#2021	C₂³	1	4	yes	—
376	C₂×#2021	C₂³	1	4	yes	complemented
377	C₂×#2021	C₂³	1	4	yes	complemented
378	C₂×#2021	C₂³	1	4	yes	complemented
379	#21333	C₂³	1	4	yes	complemented
380	#21213	C₂³	1	4	yes	—
381	#21213	C₂³	1	4	yes	—
382	#21213	C₂³	1	4	yes	—
383	#21213	C₂³	1	4	yes	—
384	#21213	C₂³	1	4	yes	—
385	#21213	C₂³	1	4	yes	—
386	#21213	C₂³	1	4	yes	complemented
387	C₂×#1913	C₂³	1	4	yes	—
388	C₂×#1913	C₂³	1	2	yes	—
389	C₂×#1913	C₂³	1	2	yes	—
390	C₂×#1913	C₂³	1	4	yes	—
391	C₂×#1913	C₂³	1	4	yes	—
392	C₂×#1913	C₂³	1	4	yes	—
393	C₂×#1913	C₂³	1	4	yes	—
394	C₂×#1913	C₂³	1	2	yes	—
395	C₂×#1913	C₂³	1	4	yes	—
396	C₂×#1913	C₂³	1	2	yes	—
397	C₂×#1913	C₂³	1	2	yes	—
398	C₂×#1913	C₂³	1	2	yes	—
399	C₂×#1913	C₂³	1	2	yes	—
400	C₂×#1913	C₂³	1	2	yes	—
401	C₂×#1913	C₂³	1	4	yes	—
402	C₂×#1913	C₂³	1	4	yes	—
403	C₂×#1913	C₂³	1	2	yes	—
404	C₂×#1913	C₂³	1	2	yes	—
405	C₂×#1913	C₂³	1	4	yes	—
406	C₂×#1913	C₂³	1	4	yes	—
407	C₂×#1913	C₂³	1	2	yes	complemented
408	C₂×#1913	C₂³	1	2	yes	complemented
409	C₂×#1913	C₂³	1	4	yes	complemented
410	C₂×#1913	C₂³	1	4	yes	complemented
411	#20984	C₂³	1	4	yes	—
412	#20984	C₂³	1	4	yes	—
413	#20984	C₂³	1	4	yes	—
414	#20984	C₂³	1	4	yes	—
415	#20984	C₂³	1	4	yes	—
416	#20984	C₂³	1	4	yes	—
417	#20984	C₂³	1	2	yes	—
418	#20984	C₂³	1	2	yes	—
419	#20984	C₂³	1	4	yes	complemented
420	C₂×#1898	C₂³	1	4	yes	—
421	C₂×#1898	C₂³	1	4	yes	—
422	C₂×#1898	C₂³	1	2	yes	—
423	C₂×#1898	C₂³	1	2	yes	—
424	C₂×#1898	C₂³	1	4	yes	—
425	C₂×#1898	C₂³	1	4	yes	—
426	C₂×#1898	C₂³	1	2	yes	—
427	C₂×#1898	C₂³	1	2	yes	—
428	C₂×#1898	C₂³	1	4	yes	—
429	C₂×#1898	C₂³	1	4	yes	—
430	C₂×#1898	C₂³	1	4	yes	—
431	C₂×#1898	C₂³	1	4	yes	—
432	C₂×#1898	C₂³	1	2	yes	—
433	C₂×#1898	C₂³	1	2	yes	—
434	C₂×#1898	C₂³	1	2	yes	—
435	C₂×#1898	C₂³	1	2	yes	—
436	C₂×#1898	C₂³	1	4	yes	complemented
437	C₂×#1898	C₂³	1	2	yes	complemented
438	C₂×#1898	C₂³	1	2	yes	complemented
439	C₂×#1898	C₂³	1	2	yes	complemented
440	C₂×#1898	C₂³	1	4	yes	complemented
441	C₂×#1898	C₂³	1	2	yes	complemented
442	C₂×#1898	C₂³	1	4	yes	complemented
443	C₂×#1898	C₂³	1	4	yes	complemented
444	#20960	C₂³	1	4	yes	—
445	#20960	C₂³	1	4	yes	—
446	#20960	C₂³	1	2	yes	—
447	#20960	C₂³	1	4	yes	—
448	#20960	C₂³	1	2	yes	—
449	#20960	C₂³	1	4	yes	—
450	#20960	C₂³	1	2	yes	—
451	#20960	C₂³	1	2	yes	—
452	#20960	C₂³	1	4	yes	complemented
453	#20960	C₂³	1	2	yes	complemented
454	C₂×#1889	C₂³	1	4	yes	—
455	C₂×#1889	C₂³	1	4	yes	—
456	C₂×#1889	C₂³	1	4	yes	—
457	C₂×#1889	C₂³	1	2	yes	—
458	C₂×#1889	C₂³	1	4	yes	—
459	C₂×#1889	C₂³	1	2	yes	—
460	C₂×#1889	C₂³	1	4	yes	complemented
461	C₂×#1889	C₂³	1	2	yes	complemented
462	C₂×#1889	C₂³	1	2	yes	complemented
463	C₂×#1889	C₂³	1	2	yes	complemented
464	#20889	C₂³	1	2	yes	—
465	#20889	C₂³	1	2	yes	—
466	#20889	C₂³	1	4	yes	—
467	#20889	C₂³	1	4	yes	—
468	#20889	C₂³	1	2	yes	complemented
469	#20889	C₂³	1	4	yes	complemented
470	#20889	C₂³	1	2	yes	complemented
471	#20889	C₂³	1	4	yes	complemented
472	C₂×#1828	C₂³	1	4	yes	—
473	C₂×#1828	C₂³	1	2	yes	—
474	C₂×#1828	C₂³	1	2	yes	—
475	C₂×#1828	C₂³	1	4	yes	—
476	C₂×#1828	C₂³	1	2	yes	—
477	C₂×#1828	C₂³	1	2	yes	complemented
478	C₂×#1828	C₂³	1	2	yes	complemented
479	#20689	C₂³	1	2	yes	—
480	C₂×#1819	C₂³	1	2	yes	complemented
481	#20633	C₂³	1	4	yes	—
482	#20633	C₂³	1	4	yes	—
483	#20633	C₂³	1	4	yes	—
484	#20633	C₂³	1	4	yes	complemented
485	#20609	C₂³	1	2	yes	—
486	#20609	C₂³	1	2	yes	—
487	#20609	C₂³	1	4	yes	—
488	#20609	C₂³	1	4	yes	—
489	#20609	C₂³	1	4	yes	—
490	#20609	C₂³	1	4	yes	—
491	#20609	C₂³	1	2	yes	—
492	#20609	C₂³	1	2	yes	—
493	#20609	C₂³	1	2	yes	complemented
494	#20609	C₂³	1	2	yes	complemented
495	#20585	C₂³	1	4	yes	—
496	#20585	C₂³	1	4	yes	—
497	#20585	C₂³	1	4	yes	—
498	#20585	C₂³	1	2	yes	—
499	#20585	C₂³	1	2	yes	—
500	#20585	C₂³	1	2	yes	complemented
501	#20585	C₂³	1	2	yes	complemented
502	C₂×#1781	C₂³	1	1	yes	characteristic
503	C₂×#1781	C₂³	1	1	yes	characteristic
504	C₂×#1781	C₂³	1	1	yes	characteristic
505	C₂×#1781	C₂³	1	4	yes	—
506	C₂×#1781	C₂³	1	1	yes	characteristic
507	C₂×#1781	C₂³	1	4	yes	—
508	C₂×#1781	C₂³	1	1	yes	characteristic
509	C₂×#1781	C₂³	1	1	yes	characteristic
510	C₂×#1781	C₂³	1	2	yes	complemented
511	C₂×#1781	C₂³	1	2	yes	complemented
512	#20392	C₂³	1	4	yes	—
513	#20392	C₂³	1	2	yes	complemented
514	#20354	C₂³	1	1	yes	characteristic, complemented
515	C₂²×#342	C₂³	1	4	yes	complemented
516	#14679	C₂³	1	2	yes	complemented
517	#11394	C₂³	1	4	yes	complemented
518	#11394	C₂³	1	4	yes	complemented
519	#11351	C₂³	1	4	yes	complemented
520	#11351	C₂³	1	4	yes	complemented
521	#11351	C₂³	1	4	yes	complemented
522	#11351	C₂³	1	4	yes	complemented
523	#11318	C₂³	1	4	yes	complemented
524	#11318	C₂³	1	4	yes	complemented
525	#11318	C₂³	1	4	yes	complemented
526	#11318	C₂³	1	4	yes	complemented
527	#11279	C₂³	1	4	yes	complemented
528	#11279	C₂³	1	4	yes	complemented
529	#11279	C₂³	1	4	yes	complemented
530	#11279	C₂³	1	4	yes	complemented
531	#11279	C₂³	1	4	yes	complemented
532	#11279	C₂³	1	4	yes	complemented
533	#11279	C₂³	1	4	yes	complemented
534	#11279	C₂³	1	4	yes	complemented
535	#11205	C₂³	1	4	yes	complemented
536	#11205	C₂³	1	4	yes	complemented
537	#11205	C₂³	1	4	yes	complemented
538	#11172	C₂³	1	4	yes	—
539	#11172	C₂³	1	4	yes	—
540	#11172	C₂³	1	4	yes	complemented
541	#11172	C₂³	1	4	yes	complemented
542	#11172	C₂³	1	4	yes	complemented
543	#11172	C₂³	1	4	yes	complemented
544	#11172	C₂³	1	4	yes	complemented
545	#11172	C₂³	1	4	yes	complemented
546	#11169	C₂³	1	4	yes	—
547	#11169	C₂³	1	4	yes	—
548	#11169	C₂³	1	4	yes	—
549	#11169	C₂³	1	4	yes	—
550	#11169	C₂³	1	4	yes	complemented
551	#11169	C₂³	1	4	yes	complemented
552	#11166	C₂³	1	4	yes	—
553	#11166	C₂³	1	4	yes	—
554	#11166	C₂³	1	4	yes	complemented
555	#11166	C₂³	1	4	yes	complemented
556	#11089	C₂³	1	4	yes	—
557	#11089	C₂³	1	4	yes	—
558	#11089	C₂³	1	4	yes	—
559	#11089	C₂³	1	4	yes	—
560	#11089	C₂³	1	4	yes	—
561	#11089	C₂³	1	4	yes	—
562	#11089	C₂³	1	4	yes	—
563	#11089	C₂³	1	4	yes	—
564	#11089	C₂³	1	4	yes	—
565	#11089	C₂³	1	4	yes	—
566	#11089	C₂³	1	4	yes	—
567	#11089	C₂³	1	4	yes	—
568	#11089	C₂³	1	4	yes	—
569	#11089	C₂³	1	4	yes	—
570	#11089	C₂³	1	4	yes	—
571	#11089	C₂³	1	4	yes	—
572	#11089	C₂³	1	4	yes	complemented
573	#11089	C₂³	1	4	yes	complemented
574	#11089	C₂³	1	4	yes	complemented
575	#11089	C₂³	1	4	yes	complemented
576	#11089	C₂³	1	4	yes	complemented
577	#11089	C₂³	1	4	yes	complemented
578	#11089	C₂³	1	4	yes	complemented
579	#11089	C₂³	1	4	yes	complemented
580	#11069	C₂³	1	4	yes	complemented
581	#11069	C₂³	1	4	yes	complemented
582	#11069	C₂³	1	4	yes	complemented
583	#11069	C₂³	1	4	yes	complemented
584	#11046	C₂³	1	4	yes	—
585	#11046	C₂³	1	4	yes	—
586	#11046	C₂³	1	4	yes	—
587	#11046	C₂³	1	4	yes	—
588	#11046	C₂³	1	4	yes	complemented
589	#11046	C₂³	1	4	yes	complemented
590	#11046	C₂³	1	4	yes	complemented
591	#11046	C₂³	1	4	yes	complemented
592	#11046	C₂³	1	4	yes	complemented
593	#10991	C₂³	1	4	yes	—
594	#10991	C₂³	1	4	yes	—
595	#10991	C₂³	1	4	yes	—
596	#10991	C₂³	1	4	yes	—
597	#10991	C₂³	1	4	yes	—
598	#10991	C₂³	1	4	yes	—
599	#10991	C₂³	1	4	yes	—
600	#10991	C₂³	1	4	yes	complemented
601	#10991	C₂³	1	4	yes	complemented
602	#10991	C₂³	1	4	yes	complemented
603	#10991	C₂³	1	4	yes	complemented
604	#10991	C₂³	1	4	yes	complemented
605	#10991	C₂³	1	4	yes	complemented
606	#10972	C₂³	1	4	yes	—
607	#10972	C₂³	1	4	yes	—
608	#10972	C₂³	1	4	yes	—
609	#10972	C₂³	1	4	yes	—
610	#10972	C₂³	1	4	yes	—
611	#10972	C₂³	1	4	yes	—
612	#10972	C₂³	1	4	yes	—
613	#10972	C₂³	1	4	yes	—
614	#10972	C₂³	1	4	yes	—
615	#10972	C₂³	1	4	yes	—
616	#10972	C₂³	1	4	yes	—
617	#10972	C₂³	1	4	yes	—
618	#10972	C₂³	1	4	yes	—
619	#10972	C₂³	1	4	yes	—
620	#10972	C₂³	1	4	yes	—
621	#10972	C₂³	1	4	yes	—
622	#10972	C₂³	1	4	yes	—
623	#10972	C₂³	1	4	yes	complemented
624	#10972	C₂³	1	4	yes	complemented
625	#10972	C₂³	1	4	yes	complemented
626	#10972	C₂³	1	4	yes	complemented
627	#10938	C₂³	1	4	yes	—
628	#10938	C₂³	1	4	yes	—
629	#10938	C₂³	1	4	yes	—
630	#10938	C₂³	1	4	yes	—
631	#10938	C₂³	1	4	yes	complemented
632	#10938	C₂³	1	4	yes	complemented
633	#10938	C₂³	1	4	yes	complemented
634	#10938	C₂³	1	4	yes	complemented
635	#10935	C₂³	1	4	yes	complemented
636	#10935	C₂³	1	4	yes	complemented
637	#10915	C₂³	1	4	yes	complemented
638	#10915	C₂³	1	4	yes	complemented
639	#10829	C₂³	1	4	yes	complemented
640	#10829	C₂³	1	4	yes	complemented
641	#10829	C₂³	1	4	yes	complemented
642	#10768	C₂³	1	4	yes	—
643	#10768	C₂³	1	4	yes	—
644	#10768	C₂³	1	2	yes	complemented
645	#10768	C₂³	1	4	yes	complemented
646	#10754	C₂³	1	4	yes	—
647	#10754	C₂³	1	4	yes	—
648	#10754	C₂³	1	4	yes	—
649	#10754	C₂³	1	4	yes	—
650	#10754	C₂³	1	2	yes	—
651	#10754	C₂³	1	2	yes	—
652	#10754	C₂³	1	4	yes	complemented
653	#10754	C₂³	1	4	yes	complemented
654	#10735	C₂³	1	2	yes	complemented
655	#10735	C₂³	1	2	yes	complemented
656	#10735	C₂³	1	4	yes	complemented
657	#10735	C₂³	1	4	yes	complemented
658	#10735	C₂³	1	2	yes	complemented
659	#10735	C₂³	1	2	yes	complemented
660	#10735	C₂³	1	4	yes	complemented
661	#10735	C₂³	1	4	yes	complemented
662	#10725	C₂³	1	4	yes	complemented
663	#10725	C₂³	1	4	yes	complemented
664	C₂⁷	C₂⁴	1	1	yes	characteristic
665	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
666	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
667	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
668	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
669	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
670	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
671	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
672	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
673	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
674	C₂⁴×D₄	C₂⁴	1	2	yes	—
675	#3484	C₂×D₄	1	4	yes	—
676	#3484	C₂×D₄	1	4	yes	—
677	#3484	C₂×D₄	1	4	yes	—
678	#3484	C₂×D₄	1	4	yes	—
679	C₂×#543	C₂⁴	1	2	yes	—
680	C₂×#543	C₂⁴	1	2	yes	—
681	C₂×#534	C₂×D₄	1	4	yes	complemented
682	C₂×#534	C₂⁴	1	2	yes	—
683	C₂×#534	C₂⁴	1	2	yes	—
684	C₂×#534	C₂⁴	1	2	yes	—
685	C₂×#534	C₂⁴	1	2	yes	—
686	C₂×#534	C₂⁴	1	2	yes	—
687	C₂×#534	C₂⁴	1	4	yes	—
688	C₂×#534	C₂⁴	1	4	yes	—
689	C₂×#534	C₂⁴	1	2	yes	—
690	C₂×#534	C₂⁴	1	2	yes	—
691	C₂×#534	C₂⁴	1	4	yes	—
692	C₂×#534	C₂⁴	1	4	yes	—
693	C₂×#534	C₂⁴	1	2	yes	—
694	C₂×#534	C₂⁴	1	4	yes	—
695	C₂×#534	C₂⁴	1	4	yes	—
696	C₂×#534	C₂⁴	1	4	yes	—
697	C₂×#534	C₂⁴	1	2	yes	—
698	C₂×#534	C₂⁴	1	2	yes	—
699	C₂×#534	C₂⁴	1	4	yes	—
700	C₂×#534	C₂⁴	1	2	yes	—
701	C₂²×#123	C₂×D₄	1	2	yes	complemented
702	C₂²×#120	C₂×D₄	1	2	yes	complemented
703	C₂²×#120	C₂×D₄	1	2	yes	complemented
704	C₂²×#120	C₂×D₄	1	4	yes	complemented
705	C₂²×#120	C₂×D₄	1	2	yes	complemented
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	4	yes	—
710	C₂²×#120	C₂⁴	1	2	yes	—
711	C₂²×#120	C₂⁴	1	4	yes	—
712	C₂²×#120	C₂⁴	1	4	yes	—
713	C₂²×#120	C₂⁴	1	2	yes	—
714	C₂²×#120	C₂⁴	1	4	yes	—
715	C₂²×#120	C₂⁴	1	2	yes	—
716	C₂²×#120	C₂⁴	1	2	yes	—
717	C₂²×#120	C₂⁴	1	2	yes	—
718	C₂²×#120	C₂⁴	1	2	yes	—
719	C₂×#518	C₂⁴	1	2	yes	—
720	C₂×#518	C₂⁴	1	2	yes	—
721	C₂×#518	C₂⁴	1	1	yes	characteristic
722	C₂×#518	C₂⁴	1	1	yes	characteristic
723	C₂×#518	C₂⁴	1	2	yes	—
724	C₂×#518	C₂⁴	1	2	yes	—
725	C₂×#518	C₂⁴	1	1	yes	characteristic
726	C₂×#518	C₂⁴	1	4	yes	—
727	C₂×#518	C₂⁴	1	4	yes	—
728	C₂×#518	C₂⁴	1	1	yes	characteristic
729	C₂×#518	C₂⁴	1	1	yes	characteristic
730	C₂×#518	C₂⁴	1	1	yes	characteristic
731	C₂×#518	C₂⁴	1	1	yes	characteristic
732	C₂×#518	C₂⁴	1	2	yes	—
733	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
734	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
735	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
736	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
737	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
738	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
740	C₂×#458	C₂×D₄	1	8	yes	complemented
741	C₂×B(4,𝔽₂)	C₂×D₄	1	8	yes	complemented
742	C₂×B(4,𝔽₂)	C₂×D₄	1	8	yes	complemented
743	C₂×B(4,𝔽₂)	C₂×D₄	1	8	yes	complemented
744	C₂²×#99	C₂⁴	1	4	yes	—
745	C₂²×#99	C₂⁴	1	4	yes	—
746	C₂²×#99	C₂⁴	1	4	yes	—
747	C₂²×#99	C₂⁴	1	4	yes	—
748	C₂²×#99	C₂⁴	1	4	yes	—
749	C₂²×#99	C₂⁴	1	4	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	2	yes	—
758	C₂²×#99	C₂⁴	1	4	yes	—
759	C₂²×#99	C₂⁴	1	4	yes	—
760	C₂²×#99	C₂⁴	1	4	yes	—
761	C₂²×#99	C₂⁴	1	4	yes	—
762	C₂²×#99	C₂⁴	1	2	yes	—
763	C₂²×#99	C₂⁴	1	4	yes	—
764	C₂²×#99	C₂⁴	1	4	yes	—
765	C₂²×#99	C₂⁴	1	2	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	2	yes	—
771	C₂²×#99	C₂⁴	1	2	yes	—
772	C₂²×#99	C₂⁴	1	2	yes	—
773	C₂²×#99	C₂⁴	1	2	yes	—
774	C₂²×#99	C₂⁴	1	4	yes	—
775	C₂²×#99	C₂⁴	1	4	yes	—
776	C₂²×#99	C₂⁴	1	4	yes	—
777	C₂²×#99	C₂⁴	1	4	yes	—
778	C₂²×#99	C₂⁴	1	4	yes	—
779	C₂²×#99	C₂⁴	1	4	yes	—
780	C₂²×#99	C₂⁴	1	4	yes	—
781	C₂²×#99	C₂⁴	1	4	yes	—
782	C₂²×#99	C₂⁴	1	4	yes	—
783	C₂²×#99	C₂⁴	1	4	yes	—
784	C₂²×#99	C₂⁴	1	2	yes	—
785	C₂²×#99	C₂⁴	1	2	yes	—
786	C₂²×#99	C₂⁴	1	4	yes	—
787	C₂²×#99	C₂⁴	1	2	yes	—
788	C₂²×#99	C₂⁴	1	2	yes	—
789	C₂²×#99	C₂⁴	1	4	yes	—
790	C₂²×#99	C₂⁴	1	2	yes	—
791	C₂²×#99	C₂⁴	1	2	yes	—
792	C₂²×#99	C₂⁴	1	2	yes	—
793	C₂²×#99	C₂⁴	1	2	yes	—
794	#2849	C₂×D₄	1	4	yes	complemented
795	#2846	C₂×D₄	1	4	yes	complemented
796	#2846	C₂×D₄	1	8	yes	complemented
797	#2846	C₂×D₄	1	4	yes	complemented
798	#2846	C₂×D₄	1	4	yes	complemented
799	#2613	C₂×D₄	1	8	yes	complemented
800	#2315	C₂⁴	1	4	yes	—
801	#2315	C₂⁴	1	4	yes	—
802	#2315	C₂⁴	1	4	yes	—
803	#2315	C₂⁴	1	4	yes	—
804	#2315	C₂⁴	1	4	yes	—
805	#2315	C₂⁴	1	4	yes	—
806	#2315	C₂⁴	1	4	yes	—
807	#2315	C₂⁴	1	4	yes	—
808	#2308	C₂⁴	1	4	yes	—
809	#2308	C₂⁴	1	4	yes	—
810	#2308	C₂⁴	1	2	yes	—
811	#2308	C₂⁴	1	2	yes	—
812	#2308	C₂⁴	1	4	yes	—
813	#2308	C₂⁴	1	4	yes	—
814	#2308	C₂⁴	1	4	yes	—
815	#2308	C₂⁴	1	4	yes	—
816	#2308	C₂⁴	1	2	yes	—
817	#2308	C₂⁴	1	4	yes	—
818	#2308	C₂⁴	1	4	yes	—
819	#2308	C₂⁴	1	4	yes	—
820	#2308	C₂⁴	1	4	yes	—
821	#2308	C₂⁴	1	4	yes	—
822	#2308	C₂⁴	1	4	yes	—
823	#2308	C₂⁴	1	4	yes	—
824	C₂×#379	C₂⁴	1	4	yes	—
825	C₂×#379	C₂⁴	1	4	yes	—
826	C₂×#379	C₂⁴	1	2	yes	—
827	C₂×#379	C₂⁴	1	4	yes	—
828	C₂×#379	C₂⁴	1	2	yes	—
829	C₂×#379	C₂⁴	1	2	yes	—
830	C₂×#379	C₂⁴	1	2	yes	—
831	C₂×#379	C₂⁴	1	4	yes	—
832	C₂×#379	C₂⁴	1	4	yes	—
833	C₂×#379	C₂⁴	1	2	yes	—
834	C₂×#379	C₂⁴	1	2	yes	—
835	C₂×#379	C₂⁴	1	4	yes	—
836	C₂×#379	C₂⁴	1	2	yes	—
837	#2273	C₂⁴	1	4	yes	—
838	#2273	C₂⁴	1	4	yes	—
839	#2022	C₂×D₄	1	16	yes	complemented
840	#2021	C₂×D₄	1	16	yes	complemented
841	#2021	C₂×D₄	1	16	yes	complemented
842	#2021	C₂×D₄	1	16	yes	complemented
843	#1898	C₂×D₄	1	8	yes	complemented
844	#1898	C₂×D₄	1	8	yes	complemented
845	#1898	C₂×D₄	1	8	yes	complemented
846	#1898	C₂×D₄	1	8	yes	complemented
847	#1890	C₂×D₄	1	8	yes	complemented
848	#1889	C₂×D₄	1	8	yes	complemented
849	#1889	C₂×D₄	1	8	yes	complemented
850	#1889	C₂×D₄	1	8	yes	complemented
851	#1781	C₂×D₄	1	4	yes	complemented
852	#1781	C₂×D₄	1	4	yes	complemented
853	#1781	C₂×D₄	1	4	yes	complemented
854	#1781	C₂×D₄	1	4	yes	complemented
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	2	yes	—
893	C₂×#342	C₂⁴	1	4	yes	—
894	C₂×#342	C₂⁴	1	4	yes	—
895	C₂×#342	C₂⁴	1	2	yes	—
896	C₂×#342	C₂⁴	1	4	yes	—
897	C₂×#342	C₂⁴	1	4	yes	—
898	C₂×#342	C₂⁴	1	4	yes	—
899	C₂×#342	C₂⁴	1	2	yes	—
900	C₂×#342	C₂⁴	1	4	yes	—
901	C₂×#342	C₂⁴	1	4	yes	—
902	C₂×#342	C₂⁴	1	4	yes	—
903	C₂×#342	C₂⁴	1	4	yes	—
904	C₂×#342	C₂⁴	1	2	yes	—
905	C₂×#342	C₂⁴	1	4	yes	—
906	C₂×#342	C₂⁴	1	4	yes	—
907	C₂⁶	C₂²×D₄	1	1	yes	characteristic
908	C₂⁶	C₂²×D₄	1	1	yes	characteristic
909	C₂⁶	C₂²×D₄	1	2	yes	—
910	C₂⁶	C₂²×D₄	1	1	yes	characteristic
911	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
912	C₂⁶	H(5,𝔽₂)	1	2	yes	complemented
913	C₂⁶	C₂⁵	1	1	yes	characteristic
914	C₂⁶	C₂⁵	1	2	yes	—
915	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
916	C₂×H(5,𝔽₂)	C₂²×D₄	1	4	yes	—
917	C₂³×D₄	C₂²×D₄	1	2	yes	—
918	C₂³×D₄	C₂²×D₄	1	2	yes	—
919	C₂³×D₄	C₂²×D₄	1	2	yes	—
920	C₂³×D₄	C₂²×D₄	1	2	yes	—
921	C₂³×D₄	C₂²×D₄	1	2	yes	—
922	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
923	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
924	C₂³×D₄	H(5,𝔽₂)	1	2	yes	complemented
925	C₂³×D₄	H(5,𝔽₂)	1	2	yes	complemented
926	C₂³×D₄	C₂⁵	1	2	yes	—
927	C₂³×D₄	C₂⁵	1	2	yes	—
928	C₂³×D₄	C₂⁵	1	2	yes	—
929	C₂³×D₄	C₂⁵	1	1	yes	characteristic
930	C₂³×D₄	C₂⁵	1	1	yes	characteristic
931	C₂³×D₄	C₂⁵	1	2	yes	—
932	C₂³×D₄	C₂⁵	1	2	yes	—
933	C₂³×D₄	C₂⁵	1	2	yes	—
934	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
935	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
936	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	complemented
937	#534	C₂²×D₄	1	8	yes	—
938	#534	C₂²×D₄	1	8	yes	—
939	C₂×#123	C₂²×D₄	1	4	yes	—
940	C₂×#123	C₂²×D₄	1	4	yes	—
941	C₂×#123	C₂²×D₄	1	8	yes	—
942	C₂×#123	H(5,𝔽₂)	1	4	yes	complemented
943	C₂×#120	C₂²×D₄	1	8	yes	—
944	C₂×#120	C₂²×D₄	1	8	yes	—
945	C₂×#120	C₂²×D₄	1	4	yes	—
946	C₂×#120	C₂²×D₄	1	4	yes	—
947	C₂×#120	C₂²×D₄	1	4	yes	—
948	C₂×#120	C₂²×D₄	1	4	yes	—
949	C₂×#120	C₂²×D₄	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	4	yes	—
953	C₂×#120	C₂²×D₄	1	4	yes	—
954	C₂×#120	C₂²×D₄	1	4	yes	—
955	C₂×#120	C₂²×D₄	1	8	yes	—
956	C₂×#120	H(5,𝔽₂)	1	4	yes	complemented
957	C₂×#120	H(5,𝔽₂)	1	4	yes	complemented
958	C₂×#120	H(5,𝔽₂)	1	4	yes	complemented
959	#518	C₂²×D₄	1	4	yes	—
960	#518	C₂²×D₄	1	4	yes	—
961	C₂×#117	H(5,𝔽₂)	1	4	yes	complemented
962	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
963	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
964	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
965	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
966	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	complemented
967	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
968	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
969	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
970	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
971	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
972	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
973	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
974	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
975	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
976	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
977	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
978	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
979	C₂²×C₂²⋊C₄	C₂⁵	1	4	yes	—
980	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
981	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
982	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
983	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
984	C₂×#99	C₂²×D₄	1	16	yes	—
985	C₂×#99	C₂²×D₄	1	16	yes	—
986	C₂×#99	C₂²×D₄	1	8	yes	—
987	C₂×#99	C₂²×D₄	1	8	yes	—
988	C₂×#99	C₂²×D₄	1	8	yes	—
989	C₂×#99	C₂²×D₄	1	8	yes	—
990	#381	C₂²×D₄	1	8	yes	—
991	#379	C₂²×D₄	1	8	yes	—
992	#379	C₂²×D₄	1	4	yes	—
993	#379	C₂²×D₄	1	8	yes	—
994	#379	C₂²×D₄	1	4	yes	—
995	#379	C₂²×D₄	1	4	yes	—
996	#379	C₂²×D₄	1	8	yes	—
997	#379	C₂²×D₄	1	4	yes	—
998	#342	C₂²×D₄	1	16	yes	—
999	#342	C₂²×D₄	1	16	yes	—
1000	C₂⁵	D₄²	1	2	yes	—
1001	C₂⁵	D₄²	1	2	yes	—
1002	C₂⁵	C₂³×D₄	1	2	yes	—
1003	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1004	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1005	C₂⁵	C₂³×D₄	1	2	yes	—
1006	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1007	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1008	C₂⁵	C₂³×D₄	1	2	yes	—
1009	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1010	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1011	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1012	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1013	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1014	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1015	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1016	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1017	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1018	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1019	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1020	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
1021	C₂⁵	#585	1	2	yes	—
1022	C₂⁵	C₂⁶	1	1	yes	characteristic
1023	C₂²×D₄	D₄²	1	2	yes	—
1024	C₂²×D₄	D₄²	1	2	yes	—
1025	C₂²×D₄	D₄²	1	2	yes	—
1026	C₂²×D₄	D₄²	1	2	yes	—
1027	C₂²×D₄	C₂³×D₄	1	2	yes	—
1028	C₂²×D₄	C₂³×D₄	1	2	yes	—
1029	C₂²×D₄	C₂³×D₄	1	2	yes	—
1030	C₂²×D₄	C₂³×D₄	1	2	yes	—
1031	C₂²×D₄	C₂³×D₄	1	4	yes	—
1032	C₂²×D₄	C₂³×D₄	1	4	yes	—
1033	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1034	C₂²×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
1035	C₂³×C₄	D₄²	1	2	yes	—
1036	C₂³×C₄	D₄²	1	2	yes	—
1037	C₂³×C₄	C₂³×D₄	1	2	yes	—
1038	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1039	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1040	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1041	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1042	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1043	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1044	C₂³×C₄	#585	1	2	yes	—
1045	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1046	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
1047	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1048	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1049	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
1050	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1051	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1052	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1053	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1054	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1055	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1056	C₂⁴	C₂×D₄²	1	2	yes	—
1057	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1058	C₂⁴	C₂×D₄²	1	2	yes	—
1059	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1060	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1061	C₂⁴	#3484	1	2	yes	—
1062	C₂⁴	#3484	1	4	yes	—
1063	C₂⁴	#3484	1	4	yes	—
1064	C₂⁴	#3484	1	2	yes	—
1065	C₂⁴	#3484	1	2	yes	—
1066	C₂⁴	#3484	1	2	yes	—
1067	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1068	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1069	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1070	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1071	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1072	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1073	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1074	C₂⁴	C₂×#585	1	2	yes	—
1075	C₂⁴	H(7,𝔽₂)	1	2	yes	—
1076	C₂²×C₄	C₂×D₄²	1	2	yes	—
1077	C₂²×C₄	C₂×D₄²	1	2	yes	—
1078	C₂²×C₄	#3484	1	4	yes	—
1079	C₂²×C₄	#3484	1	4	yes	—
1080	C₂²⋊C₄	#3484	1	8	yes	—
1081	C₂³	C₂²×D₄²	1	1	yes	characteristic
1082	C₂³	C₂×#3484	1	2	yes	—
1083	C₂³	C₂×#3484	1	2	yes	—
1084	C₂³	C₂×#3484	1	2	yes	—
1085	C₂³	C₂×#3484	1	2	yes	—
1086	C₂³	#62817	1	1	yes	characteristic
1087	C₂³	#62817	1	1	yes	characteristic
1088	C₂³	#62817	1	1	yes	characteristic
1089	C₂³	#62817	1	1	yes	characteristic
1090	C₂³	#62818	1	4	yes	—
1091	C₂³	#62820	1	1	yes	characteristic
1092	C₂³	#62862	1	1	yes	characteristic
1093	C₂³	#62892	1	4	yes	—
1094	C₂³	#62912	1	4	yes	—
1095	C₂³	#62987	1	2	yes	—
1096	C₂³	#62987	1	2	yes	—
1097	C₂³	#63012	1	4	yes	—
1098	C₂²	#7670203	1	1	yes	characteristic
1099	C₂²	#7670203	1	1	yes	characteristic
1100	C₂²	#7681928	1	1	yes	characteristic
1101	C₂²	#7849737	1	4	yes	—
1102	C₂²	#7849977	1	4	yes	—
1103	C₂²	#8898065	1	1	yes	characteristic
1104	C₂²	#8898948	1	1	yes	characteristic
1105	C₂²	#8932872	1	1	yes	characteristic
1106	C₂²	#8932922	1	1	yes	characteristic
1107	C₂	#72235999	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	#72235999
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. #72251140	C₂	semidirect
2. #72251140	C₂	semidirect
3. #72251108	C₂	semidirect
4. #72251073	C₂	semidirect
5. #72240524	C₂	semidirect
6. #72240473	C₂	semidirect
7. #72240439	C₂	semidirect
8. #72240438	C₂	semidirect
9. #72238613	C₂	semidirect
10. #72237960	C₂	semidirect
11. #72237951	C₂	semidirect
12. #72237950	C₂	semidirect
13. #72237899	C₂	semidirect
14. #72237800	C₂	semidirect
15. #72237787	C₂	semidirect
16. #72237763	C₂	semidirect
17. #72234953	C₂	semidirect
18. #72234693	C₂	semidirect
19. #72234662	C₂	semidirect
20. #72232592	C₂	semidirect
21. #72225744	C₂	semidirect
22. #72225743	C₂	semidirect
23. #72225654	C₂	semidirect
24. #72225633	C₂	semidirect
25. #72225620	C₂	semidirect
26. #72219157	C₂	semidirect
27. C₂×#6499874	C₂	semidirect
28. #10586404	C₂²	semidirect
29. C₂×#62817	C₂²	semidirect
30. #10574873	C₂²	semidirect
32. C₂×#60399	C₂²	semidirect
33. #7641845	C₂²	semidirect
34. #7630944	C₂²	semidirect
35. C₂×#34981	C₂²	semidirect
36. #6453039	C₂²	semidirect
37. #6452266	C₂²	semidirect
38. #6452266	C₂²	semidirect
39. #6451874	C₂²	semidirect
40. #6451863	C₂²	semidirect
41. #6451863	C₂²	semidirect
42. #6451863	C₂²	semidirect
43. #6451863	C₂²	semidirect
44. C₂×#23996	C₂²	semidirect
45. C₂×#23996	C₂²	semidirect
46. C₂×#23996	C₂²	semidirect
47. C₂×#23996	C₂²	semidirect
48. C₂×#23996	C₂²	semidirect
49. C₂×#23996	C₂²	semidirect
50. #6448647	C₂²	semidirect
51. #6448647	C₂²	semidirect
52. #6442728	C₂²	semidirect
53. #6442728	C₂²	semidirect
54. #6442728	C₂²	semidirect
55. #6440460	C₂²	semidirect
56. #6440460	C₂²	semidirect
57. #6440460	C₂²	semidirect
58. #6440460	C₂²	semidirect
59. #6440460	C₂²	semidirect
60. #6437995	C₂²	semidirect
61. #6437995	C₂²	semidirect
62. #6437995	C₂²	semidirect
63. #6437632	C₂²	semidirect
64. #6437632	C₂²	semidirect
65. #6437632	C₂²	semidirect
66. #6437629	C₂²	semidirect
67. #6437629	C₂²	semidirect
70. C₂×#23895	C₂²	semidirect
71. C₂×#23895	C₂²	semidirect
72. C₂×#23895	C₂²	semidirect
74. #6437621	C₂²	semidirect
75. #6437621	C₂²	semidirect
77. C₂×#23900	C₂²	semidirect
78. C₂×#23900	C₂²	semidirect
79. C₂×#23900	C₂²	semidirect
80. C₂×#23900	C₂²	semidirect
81. #6431795	C₂²	semidirect
82. #6379010	C₂²	semidirect
83. #6374548	C₂²	semidirect
84. #6374251	C₂²	semidirect
85. #6374210	C₂²	semidirect
86. #6374187	C₂²	semidirect
87. C₂×#21776	C₂²	semidirect
88. C₂×#21776	C₂²	semidirect
89. C₂×#21776	C₂²	semidirect
90. C₂×#21746	C₂²	semidirect
91. C₂²×#1898	C₂²	semidirect
92. #477178	C₂²	semidirect
93. #469730	C₂²	semidirect
94. #469730	C₂²	semidirect
95. #469678	C₂²	semidirect
96. #460969	C₂²	semidirect
97. #460624	C₂²	semidirect
98. #458573	C₂²	semidirect
99. #457682	C₂²	semidirect
100. #456653	C₂²	semidirect
101. #456653	C₂²	semidirect
102. #454367	C₂²	semidirect
103. #453952	C₂²	semidirect
104. #453952	C₂²	semidirect
105. #451024	C₂²	semidirect
106. #449959	C₂²	semidirect
107. #449578	C₂²	semidirect
108. #449578	C₂²	semidirect
109. #449578	C₂²	semidirect
110. #436464	C₂²	semidirect
111. #433298	C₂²	semidirect
112. #433298	C₂²	semidirect
113. #432839	C₂²	semidirect
114. #432170	C₂²	semidirect
115. #429959	C₂²	semidirect
116. #429959	C₂²	semidirect
117. #429959	C₂²	semidirect
118. #428399	C₂²	semidirect
119. #428399	C₂²	semidirect
120. #428399	C₂²	semidirect
121. #427935	C₂²	semidirect
122. #427935	C₂²	semidirect
123. #427935	C₂²	semidirect
124. #427819	C₂²	semidirect
125. #427668	C₂²	semidirect
126. #427379	C₂²	semidirect
127. #427379	C₂²	semidirect
128. #427239	C₂²	semidirect
129. #427239	C₂²	semidirect
130. #427239	C₂²	semidirect
131. #425255	C₂²	semidirect
132. #424602	C₂²	semidirect
133. #421918	C₂²	semidirect
134. #421918	C₂²	semidirect
135. #421918	C₂²	semidirect
136. #419812	C₂²	semidirect
137. #419812	C₂²	semidirect
138. #419812	C₂²	semidirect
139. #419812	C₂²	semidirect
140. #419812	C₂²	semidirect
141. #419459	C₂²	semidirect
142. #419459	C₂²	semidirect
143. #419459	C₂²	semidirect
144. #418911	C₂²	semidirect
145. #418911	C₂²	semidirect
146. #418911	C₂²	semidirect
147. #418911	C₂²	semidirect
148. #418911	C₂²	semidirect
149. #418849	C₂²	semidirect
150. #418849	C₂²	semidirect
151. #418849	C₂²	semidirect
152. #418849	C₂²	semidirect
153. #418849	C₂²	semidirect
154. #417538	C₂²	semidirect
155. #417538	C₂²	semidirect
156. #417538	C₂²	semidirect
157. #417538	C₂²	semidirect
158. #417538	C₂²	semidirect
159. #417538	C₂²	semidirect
160. #410851	C₂²	semidirect
161. #407054	C₂²	semidirect
162. #405772	C₂²	semidirect
163. #405772	C₂²	semidirect
164. #404038	C₂²	semidirect
165. #404015	C₂²	semidirect
166. #404015	C₂²	semidirect
167. #404015	C₂²	semidirect
168. #403943	C₂²	semidirect
169. #401480	C₂²	semidirect
170. #401060	C₂²	semidirect
171. #398102	C₂²	semidirect
172. #396094	C₂²	semidirect
173. #395529	C₂²	semidirect
174. #395529	C₂²	semidirect
175. #395529	C₂²	semidirect
176. #395529	C₂²	semidirect
177. #395133	C₂²	semidirect
178. #394470	C₂²	semidirect
179. #394167	C₂²	semidirect
180. #394064	C₂²	semidirect
181. #394064	C₂²	semidirect
182. #394064	C₂²	semidirect
183. #394058	C₂²	semidirect
184. #394058	C₂²	semidirect
185. #393933	C₂²	semidirect
186. #393933	C₂²	semidirect
187. #393933	C₂²	semidirect
188. #392675	C₂²	semidirect
189. #392135	C₂²	semidirect
190. #392030	C₂²	semidirect
191. #392030	C₂²	semidirect
192. #390418	C₂²	semidirect
193. #388376	C₂²	semidirect
194. #388376	C₂²	semidirect
195. #388376	C₂²	semidirect
196. #385868	C₂²	semidirect
197. #384297	C₂²	semidirect
198. #384256	C₂²	semidirect
199. #384249	C₂²	semidirect
200. #384163	C₂²	semidirect
201. #383139	C₂²	semidirect
202. #383139	C₂²	semidirect
203. #382707	C₂²	semidirect
204. #382434	C₂²	semidirect
205. #382434	C₂²	semidirect
206. #382434	C₂²	semidirect
207. #380263	C₂²	semidirect
208. #379733	C₂²	semidirect
209. #378118	C₂²	semidirect
210. #376180	C₂²	semidirect
211. #376180	C₂²	semidirect
212. #371020	C₂²	semidirect
213. #368784	C₂²	semidirect
214. #368784	C₂²	semidirect
215. #366633	C₂²	semidirect
216. #366633	C₂²	semidirect
217. #366633	C₂²	semidirect
218. #366633	C₂²	semidirect
219. #364532	C₂²	semidirect
220. #364532	C₂²	semidirect
221. #364440	C₂²	semidirect
222. #364410	C₂²	semidirect
223. #363969	C₂²	semidirect
224. #363953	C₂²	semidirect
225. #361312	C₂²	semidirect
226. #360526	C₂²	semidirect
227. #359591	C₂²	semidirect
228. #359549	C₂²	semidirect
229. #359549	C₂²	semidirect
230. #359528	C₂²	semidirect
231. #359528	C₂²	semidirect
232. #359501	C₂²	semidirect
233. #359442	C₂²	semidirect
234. #355096	C₂²	semidirect
241. #62842	C₂³	semidirect
258. C₂³×#120	C₂³	semidirect
259. C₂⁴×C₂²⋊C₄	C₂³	semidirect
275. C₂×#3026	C₂³	semidirect
281. C₂²×B(4,𝔽₂)	C₂³	semidirect
289. C₂×#2883	C₂³	semidirect
290. C₂×#2883	C₂³	semidirect
294. C₂×#2846	C₂³	semidirect
297. #34992	C₂³	semidirect
298. #34992	C₂³	semidirect
299. #34992	C₂³	semidirect
300. #34982	C₂³	semidirect
305. #34981	C₂³	semidirect
306. #34981	C₂³	semidirect
311. #34980	C₂³	semidirect
314. #34198	C₂³	semidirect
315. #34176	C₂³	semidirect
317. C₂×#2315	C₂³	semidirect
319. C₂×#2308	C₂³	semidirect
320. C₂²×#379	C₂³	semidirect
321. #23903	D₄	semidirect
322. #23901	D₄	semidirect
323. #23900	D₄	semidirect
324. #23900	D₄	semidirect
325. #23900	D₄	semidirect
326. #23900	D₄	semidirect
327. #23565	C₂³	semidirect
338. #23515	C₂³	semidirect
339. #23515	C₂³	semidirect
344. C₂×#2032	C₂³	semidirect
345. C₂×#2032	C₂³	semidirect
346. #23468	C₂³	semidirect
361. #23444	C₂³	semidirect
376. C₂×#2021	C₂³	semidirect
377. C₂×#2021	C₂³	semidirect
378. C₂×#2021	C₂³	semidirect
379. #21333	C₂³	semidirect
386. #21213	C₂³	semidirect
407. C₂×#1913	C₂³	semidirect
408. C₂×#1913	C₂³	semidirect
409. C₂×#1913	C₂³	semidirect
410. C₂×#1913	C₂³	semidirect
419. #20984	C₂³	semidirect
436. C₂×#1898	C₂³	semidirect
437. C₂×#1898	C₂³	semidirect
438. C₂×#1898	C₂³	semidirect
439. C₂×#1898	C₂³	semidirect
440. C₂×#1898	C₂³	semidirect
441. C₂×#1898	C₂³	semidirect
442. C₂×#1898	C₂³	semidirect
443. C₂×#1898	C₂³	semidirect
452. #20960	C₂³	semidirect
453. #20960	C₂³	semidirect
460. C₂×#1889	C₂³	semidirect
461. C₂×#1889	C₂³	semidirect
462. C₂×#1889	C₂³	semidirect
463. C₂×#1889	C₂³	semidirect
468. #20889	C₂³	semidirect
469. #20889	C₂³	semidirect
470. #20889	C₂³	semidirect
471. #20889	C₂³	semidirect
477. C₂×#1828	C₂³	semidirect
478. C₂×#1828	C₂³	semidirect
480. C₂×#1819	C₂³	semidirect
484. #20633	C₂³	semidirect
493. #20609	C₂³	semidirect
494. #20609	C₂³	semidirect
500. #20585	C₂³	semidirect
501. #20585	C₂³	semidirect
510. C₂×#1781	C₂³	semidirect
511. C₂×#1781	C₂³	semidirect
513. #20392	C₂³	semidirect
514. #20354	C₂³	semidirect
515. C₂²×#342	C₂³	semidirect
516. #14679	C₂³	semidirect
517. #11394	C₂³	semidirect
518. #11394	C₂³	semidirect
519. #11351	C₂³	semidirect
520. #11351	C₂³	semidirect
521. #11351	C₂³	semidirect
522. #11351	C₂³	semidirect
523. #11318	C₂³	semidirect
524. #11318	C₂³	semidirect
525. #11318	C₂³	semidirect
526. #11318	C₂³	semidirect
527. #11279	C₂³	semidirect
528. #11279	C₂³	semidirect
529. #11279	C₂³	semidirect
530. #11279	C₂³	semidirect
531. #11279	C₂³	semidirect
532. #11279	C₂³	semidirect
533. #11279	C₂³	semidirect
534. #11279	C₂³	semidirect
535. #11205	C₂³	semidirect
536. #11205	C₂³	semidirect
537. #11205	C₂³	semidirect
540. #11172	C₂³	semidirect
541. #11172	C₂³	semidirect
542. #11172	C₂³	semidirect
543. #11172	C₂³	semidirect
544. #11172	C₂³	semidirect
545. #11172	C₂³	semidirect
550. #11169	C₂³	semidirect
551. #11169	C₂³	semidirect
554. #11166	C₂³	semidirect
555. #11166	C₂³	semidirect
572. #11089	C₂³	semidirect
573. #11089	C₂³	semidirect
574. #11089	C₂³	semidirect
575. #11089	C₂³	semidirect
576. #11089	C₂³	semidirect
577. #11089	C₂³	semidirect
578. #11089	C₂³	semidirect
579. #11089	C₂³	semidirect
580. #11069	C₂³	semidirect
581. #11069	C₂³	semidirect
582. #11069	C₂³	semidirect
583. #11069	C₂³	semidirect
588. #11046	C₂³	semidirect
589. #11046	C₂³	semidirect
590. #11046	C₂³	semidirect
591. #11046	C₂³	semidirect
592. #11046	C₂³	semidirect
600. #10991	C₂³	semidirect
601. #10991	C₂³	semidirect
602. #10991	C₂³	semidirect
603. #10991	C₂³	semidirect
604. #10991	C₂³	semidirect
605. #10991	C₂³	semidirect
623. #10972	C₂³	semidirect
624. #10972	C₂³	semidirect
625. #10972	C₂³	semidirect
626. #10972	C₂³	semidirect
631. #10938	C₂³	semidirect
632. #10938	C₂³	semidirect
633. #10938	C₂³	semidirect
634. #10938	C₂³	semidirect
635. #10935	C₂³	semidirect
636. #10935	C₂³	semidirect
637. #10915	C₂³	semidirect
638. #10915	C₂³	semidirect
639. #10829	C₂³	semidirect
640. #10829	C₂³	semidirect
641. #10829	C₂³	semidirect
644. #10768	C₂³	semidirect
645. #10768	C₂³	semidirect
652. #10754	C₂³	semidirect
653. #10754	C₂³	semidirect
654. #10735	C₂³	semidirect
655. #10735	C₂³	semidirect
656. #10735	C₂³	semidirect
657. #10735	C₂³	semidirect
658. #10735	C₂³	semidirect
659. #10735	C₂³	semidirect
660. #10735	C₂³	semidirect
661. #10735	C₂³	semidirect
662. #10725	C₂³	semidirect
663. #10725	C₂³	semidirect
681. C₂×#534	C₂×D₄	semidirect
701. C₂²×#123	C₂×D₄	semidirect
702. C₂²×#120	C₂×D₄	semidirect
703. C₂²×#120	C₂×D₄	semidirect
704. C₂²×#120	C₂×D₄	semidirect
705. C₂²×#120	C₂×D₄	semidirect
740. C₂×#458	C₂×D₄	semidirect
741. C₂×B(4,𝔽₂)	C₂×D₄	semidirect
742. C₂×B(4,𝔽₂)	C₂×D₄	semidirect
743. C₂×B(4,𝔽₂)	C₂×D₄	semidirect
794. #2849	C₂×D₄	semidirect
795. #2846	C₂×D₄	semidirect
796. #2846	C₂×D₄	semidirect
797. #2846	C₂×D₄	semidirect
798. #2846	C₂×D₄	semidirect
799. #2613	C₂×D₄	semidirect
839. #2022	C₂×D₄	semidirect
840. #2021	C₂×D₄	semidirect
841. #2021	C₂×D₄	semidirect
842. #2021	C₂×D₄	semidirect
843. #1898	C₂×D₄	semidirect
844. #1898	C₂×D₄	semidirect
845. #1898	C₂×D₄	semidirect
846. #1898	C₂×D₄	semidirect
847. #1890	C₂×D₄	semidirect
848. #1889	C₂×D₄	semidirect
849. #1889	C₂×D₄	semidirect
850. #1889	C₂×D₄	semidirect
851. #1781	C₂×D₄	semidirect
852. #1781	C₂×D₄	semidirect
853. #1781	C₂×D₄	semidirect
854. #1781	C₂×D₄	semidirect
912. C₂⁶	H(5,𝔽₂)	semidirect
924. C₂³×D₄	H(5,𝔽₂)	semidirect
925. C₂³×D₄	H(5,𝔽₂)	semidirect
936. C₂⁴×C₄	H(5,𝔽₂)	semidirect
942. C₂×#123	H(5,𝔽₂)	semidirect
956. C₂×#120	H(5,𝔽₂)	semidirect
957. C₂×#120	H(5,𝔽₂)	semidirect
958. C₂×#120	H(5,𝔽₂)	semidirect
961. C₂×#117	H(5,𝔽₂)	semidirect
966. C₂²×C₂²⋊C₄	H(5,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
#72251140	2
#72251108	2
#72251073	2
#72240524	2
#72240473	2
#72240439	2
#72240438	2
#72238613	2
#72237960	2
#72237951	2
#72237950	2
#72237899	2
#72237800	2
#72237787	2
#72237763	2
#72234953	2
#72234693	2
#72234662	2
#72232592	2
#72225744	2
#72225743	2
#72225654	2
#72225633	2
#72225620	2
#72219157	2
C₂×#6499874	2