Subgroups — #72341902

Order 2048.

At least 11458 conjugacy classes of subgroups; only the 4144 normal subgroups are shown.

The subgroup lattice has 1078 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72341833	C₂	1	1	yes	maximal, characteristic, complemented
2	#72340437	C₂	1	4	yes	maximal, complemented
3	#72340431	C₂	1	1	yes	maximal, characteristic, complemented
4	#72340347	C₂	1	4	yes	maximal, complemented
5	#72340216	C₂	1	1	yes	maximal, characteristic, complemented
6	#72338894	C₂	1	4	yes	maximal, complemented
7	#72311890	C₂	1	1	yes	maximal, characteristic, complemented
8	#72311058	C₂	1	2	yes	maximal, complemented
9	#72284823	C₂	1	2	yes	maximal, complemented
10	#72284724	C₂	1	2	yes	maximal, complemented
11	#72261209	C₂	1	4	yes	maximal, complemented
12	#72258067	C₂	1	4	yes	maximal, complemented
13	#72258061	C₂	1	4	yes	maximal, complemented
14	C₂×#213854	C₂	1	1	yes	maximal, characteristic, complemented
15	#72240631	C₂	1	4	yes	maximal, complemented
16	#72240597	C₂	1	1	yes	maximal, characteristic, complemented
17	#72240110	C₂	1	4	yes	maximal, complemented
18	#72237496	C₂	1	4	yes	maximal, complemented
19	C₂×#6628896	C₂	1	1	yes	maximal, characteristic, complemented
20	#72234418	C₂	1	4	yes	maximal, complemented
21	#72233435	C₂	1	4	yes	maximal, complemented
22	#72233065	C₂	1	4	yes	maximal, complemented
23	#72210439	C₂	1	2	yes	maximal, complemented
24	C₂²×H(7,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
25	#8934366	C₂²	1	1	yes	characteristic, complemented
26	#8932958	C₂²	1	1	yes	characteristic, complemented
27	#8932922	C₂²	1	2	yes	complemented
28	#8928621	C₂²	1	1	yes	characteristic, complemented
29	#8926849	C₂²	1	1	yes	characteristic, complemented
30	#8926785	C₂²	1	2	yes	complemented
31	#8899248	C₂²	1	2	yes	complemented
32	#8898948	C₂²	1	2	yes	complemented
33	#8898234	C₂²	1	2	yes	complemented
34	#8898065	C₂²	1	2	yes	complemented
35	#7721792	C₂²	1	2	yes	complemented
36	#7721789	C₂²	1	2	yes	complemented
37	#7721729	C₂²	1	2	yes	complemented
38	#7721725	C₂²	1	2	yes	complemented
39	#7712816	C₂²	1	2	yes	complemented
40	#7642244	C₂²	1	2	yes	complemented
41	#7630502	C₂²	1	1	yes	characteristic
42	#7630502	C₂²	1	2	yes	complemented
43	#7630442	C₂²	1	1	yes	characteristic
44	#7630442	C₂²	1	2	yes	complemented
45	C₂×#35346	C₂²	1	1	yes	characteristic
46	C₂×#35346	C₂²	1	2	yes	complemented
47	#6628902	C₂²	1	2	yes	complemented
48	#6628902	C₂²	1	2	yes	complemented
49	#6628901	C₂²	1	2	yes	complemented
50	#6628901	C₂²	1	2	yes	complemented
51	#6628900	C₂²	1	4	yes	complemented
52	#6628900	C₂²	1	4	yes	complemented
53	#6628898	C₂²	1	4	yes	complemented
54	#6628898	C₂²	1	4	yes	complemented
55	#6628897	C₂²	1	2	yes	complemented
56	#6628897	C₂²	1	2	yes	complemented
57	#6628896	C₂²	1	2	yes	—
58	#6628896	C₂²	1	2	yes	complemented
59	#6628896	C₂²	1	4	yes	complemented
60	#6628896	C₂²	1	2	yes	complemented
61	#6628896	C₂²	1	4	yes	complemented
62	#6628896	C₂²	1	2	yes	complemented
63	#6628896	C₂²	1	2	yes	complemented
64	#6628896	C₂²	1	2	yes	complemented
65	#6628892	C₂²	1	4	yes	complemented
66	#6628892	C₂²	1	4	yes	complemented
67	#6628892	C₂²	1	4	yes	complemented
68	#6628892	C₂²	1	4	yes	complemented
69	C₂×#32898	C₂²	1	4	yes	complemented
70	C₂×#32898	C₂²	1	4	yes	complemented
71	#6470225	C₂²	1	8	yes	complemented
72	C₂×#20586	C₂²	1	1	yes	characteristic, complemented
73	C₂×#20586	C₂²	1	2	yes	complemented
74	C₂×#20585	C₂²	1	1	yes	characteristic, complemented
75	C₂×#20585	C₂²	1	1	yes	characteristic, complemented
76	C₂×#20585	C₂²	1	2	yes	complemented
77	C₂×#20585	C₂²	1	2	yes	complemented
78	#251878	C₂²	1	8	yes	complemented
79	#251877	C₂²	1	8	yes	complemented
80	#251877	C₂²	1	8	yes	complemented
81	#251877	C₂²	1	8	yes	complemented
82	#251872	C₂²	1	8	yes	complemented
83	#251871	C₂²	1	8	yes	complemented
84	#251871	C₂²	1	8	yes	complemented
85	#251871	C₂²	1	8	yes	complemented
86	#251865	C₂²	1	8	yes	complemented
87	#251865	C₂²	1	8	yes	complemented
88	#251860	C₂²	1	8	yes	complemented
89	#251860	C₂²	1	8	yes	complemented
90	#251859	C₂²	1	8	yes	complemented
91	#251859	C₂²	1	8	yes	complemented
92	#251859	C₂²	1	8	yes	complemented
93	#251859	C₂²	1	8	yes	complemented
94	#251855	C₂²	1	8	yes	complemented
95	#251854	C₂²	1	8	yes	complemented
96	#251844	C₂²	1	8	yes	complemented
97	#251843	C₂²	1	8	yes	complemented
98	#251838	C₂²	1	8	yes	complemented
99	#251837	C₂²	1	8	yes	complemented
100	#251828	C₂²	1	8	yes	complemented
101	#251827	C₂²	1	8	yes	complemented
102	#245256	C₂²	1	8	yes	complemented
103	#245255	C₂²	1	8	yes	complemented
104	#245254	C₂²	1	8	yes	complemented
105	#245252	C₂²	1	8	yes	complemented
106	#245251	C₂²	1	8	yes	complemented
107	#245249	C₂²	1	8	yes	complemented
108	#245247	C₂²	1	8	yes	complemented
109	#245246	C₂²	1	8	yes	complemented
110	#245246	C₂²	1	8	yes	complemented
111	#245246	C₂²	1	8	yes	complemented
112	#245246	C₂²	1	8	yes	complemented
113	#245246	C₂²	1	8	yes	complemented
114	#245235	C₂²	1	8	yes	complemented
115	#245233	C₂²	1	8	yes	complemented
116	#245231	C₂²	1	8	yes	complemented
117	#245229	C₂²	1	8	yes	complemented
118	#245229	C₂²	1	8	yes	complemented
119	#245228	C₂²	1	8	yes	complemented
120	#245227	C₂²	1	8	yes	complemented
121	#245226	C₂²	1	8	yes	complemented
122	#245226	C₂²	1	8	yes	complemented
123	#245225	C₂²	1	8	yes	complemented
124	#245225	C₂²	1	8	yes	complemented
125	#245225	C₂²	1	8	yes	complemented
126	#238082	C₂²	1	8	yes	complemented
127	#233549	C₂²	1	8	yes	complemented
128	#233541	C₂²	1	8	yes	complemented
129	#233541	C₂²	1	8	yes	complemented
130	#213864	C₂²	1	4	yes	complemented
131	#213864	C₂²	1	4	yes	complemented
132	#213862	C₂²	1	2	yes	complemented
133	#213862	C₂²	1	2	yes	complemented
134	#213860	C₂²	1	2	yes	complemented
135	#213860	C₂²	1	2	yes	complemented
136	#213855	C₂²	1	2	yes	complemented
137	#213855	C₂²	1	2	yes	complemented
138	#213854	C₂²	1	2	yes	complemented
139	#213854	C₂²	1	2	yes	complemented
140	#213854	C₂²	1	2	yes	complemented
141	#213854	C₂²	1	4	yes	complemented
142	#213854	C₂²	1	2	yes	complemented
143	#213854	C₂²	1	2	yes	complemented
144	#213854	C₂²	1	4	yes	complemented
145	#213854	C₂²	1	2	yes	complemented
146	#213852	C₂²	1	4	yes	complemented
147	#213852	C₂²	1	4	yes	complemented
148	#201690	C₂²	1	4	yes	complemented
149	#201687	C₂²	1	4	yes	complemented
150	#201687	C₂²	1	4	yes	complemented
151	#201687	C₂²	1	4	yes	complemented
152	#201678	C₂²	1	8	yes	complemented
153	#201678	C₂²	1	8	yes	complemented
154	#201664	C₂²	1	8	yes	complemented
155	C₂×#9497	C₂²	1	4	yes	complemented
156	C₂×#9495	C₂²	1	4	yes	complemented
157	#190117	C₂²	1	2	yes	complemented
158	#190116	C₂²	1	2	yes	complemented
159	C₂×#8747	C₂²	1	2	yes	complemented
160	#188050	C₂²	1	2	yes	complemented
161	#188049	C₂²	1	2	yes	complemented
162	C₂×#8541	C₂²	1	2	yes	complemented
163	C₂×H(7,𝔽₂)	C₂³	1	2	yes	—
164	C₂×H(7,𝔽₂)	C₂³	1	2	yes	—
165	C₂×H(7,𝔽₂)	C₂³	1	2	yes	—
166	C₂×H(7,𝔽₂)	C₂³	1	2	yes	—
167	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
168	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
169	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
170	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
171	C₂×#3484	C₂³	1	2	yes	complemented
172	C₂×#3449	D₄	1	2	yes	complemented
173	C₂²×#535	C₂³	1	1	yes	characteristic
174	C₂²×#534	D₄	1	2	yes	complemented
175	C₂²×#534	C₂³	1	1	yes	characteristic
176	C₂³×#120	D₄	1	2	yes	complemented
177	C₂³×#120	C₂³	1	1	yes	characteristic
178	#47563	C₂³	1	2	yes	complemented
179	#46997	C₂³	1	2	yes	complemented
180	#46997	C₂³	1	2	yes	complemented
181	#46996	C₂³	1	2	yes	complemented
182	#46389	C₂³	1	2	yes	complemented
183	#46389	C₂³	1	2	yes	complemented
184	#46388	C₂³	1	2	yes	complemented
185	#46388	C₂³	1	2	yes	complemented
186	#46387	C₂³	1	2	yes	complemented
187	#46387	C₂³	1	2	yes	complemented
188	#46387	C₂³	1	2	yes	complemented
189	#46386	C₂³	1	2	yes	complemented
190	#46386	C₂³	1	2	yes	complemented
191	#46386	C₂³	1	2	yes	complemented
192	#46386	C₂³	1	2	yes	complemented
193	#46385	C₂³	1	2	yes	complemented
194	#46385	C₂³	1	2	yes	complemented
195	#46385	C₂³	1	2	yes	complemented
196	#46385	C₂³	1	2	yes	complemented
197	#46384	C₂³	1	2	yes	complemented
198	#46384	C₂³	1	2	yes	complemented
199	#46384	C₂³	1	2	yes	complemented
200	#46384	C₂³	1	2	yes	complemented
201	#46384	C₂³	1	2	yes	complemented
202	#37475	C₂³	1	2	yes	complemented
203	#37436	C₂³	1	2	yes	complemented
204	#37232	C₂³	1	2	yes	complemented
205	#37117	C₂³	1	2	yes	complemented
206	#36967	C₂³	1	2	yes	complemented
207	#36721	C₂³	1	2	yes	complemented
208	#36717	C₂³	1	2	yes	complemented
209	#36717	C₂³	1	2	yes	complemented
210	#36715	C₂³	1	2	yes	complemented
211	#36714	C₂³	1	2	yes	complemented
212	#36714	C₂³	1	2	yes	complemented
213	#36714	C₂³	1	2	yes	complemented
214	#36714	C₂³	1	2	yes	complemented
215	#36714	C₂³	1	2	yes	complemented
216	#35616	D₄	1	2	yes	complemented
217	#35616	C₂³	1	1	yes	characteristic
218	#35616	C₂³	1	1	yes	characteristic
219	#35616	C₂³	1	4	yes	complemented
220	#35527	D₄	1	2	yes	complemented
221	#35527	C₂³	1	1	yes	characteristic
222	#35527	C₂³	1	1	yes	characteristic
223	#35527	C₂³	1	4	yes	complemented
224	#35527	C₂³	1	2	yes	complemented
225	#35512	D₄	1	4	yes	complemented
226	#35512	C₂³	1	2	yes	—
227	#35512	C₂³	1	2	yes	—
228	#35512	C₂³	1	8	yes	complemented
229	#35512	C₂³	1	2	yes	complemented
230	#35451	C₂³	1	2	yes	complemented
231	#35446	D₄	1	2	yes	complemented
232	#35446	C₂³	1	1	yes	characteristic
233	#35446	C₂³	1	1	yes	characteristic
234	#35446	C₂³	1	4	yes	complemented
235	#35355	C₂³	1	2	yes	complemented
236	#35355	C₂³	1	2	yes	complemented
237	#35354	C₂³	1	2	yes	complemented
238	#35350	C₂³	1	2	yes	complemented
239	#35350	C₂³	1	2	yes	complemented
240	#35347	D₄	1	4	yes	complemented
241	#35347	C₂³	1	2	yes	—
242	#35347	C₂³	1	2	yes	—
243	#35347	C₂³	1	8	yes	complemented
244	#35347	C₂³	1	2	yes	complemented
245	#35346	D₄	1	4	yes	complemented
246	#35346	D₄	1	2	yes	complemented
247	#35346	D₄	1	2	yes	complemented
248	#35346	D₄	1	2	yes	complemented
249	#35346	C₂³	1	4	yes	—
250	#35346	C₂³	1	8	yes	—
251	#35346	C₂³	1	4	yes	—
252	#35346	C₂³	1	2	yes	—
253	#35346	C₂³	1	1	yes	characteristic
254	#35346	C₂³	1	1	yes	characteristic
255	#35346	C₂³	1	1	yes	characteristic
256	#35346	C₂³	1	1	yes	characteristic
257	#35346	C₂³	1	1	yes	characteristic
258	#35346	C₂³	1	1	yes	characteristic
259	#35346	C₂³	1	2	yes	—
260	#35346	C₂³	1	4	yes	complemented
261	#35346	C₂³	1	2	yes	complemented
262	#35346	C₂³	1	2	yes	complemented
263	#35346	C₂³	1	2	yes	complemented
264	#35088	D₄	1	4	yes	complemented
265	#34980	D₄	1	4	yes	complemented
266	#34980	C₂³	1	8	yes	—
267	#34980	C₂³	1	8	yes	—
268	#34980	C₂³	1	2	yes	—
269	#34980	C₂³	1	2	yes	—
270	#34980	C₂³	1	2	yes	—
271	#34980	C₂³	1	2	yes	—
272	#34980	C₂³	1	2	yes	complemented
273	#34980	C₂³	1	2	yes	complemented
274	C₂×#2404	D₄	1	4	yes	complemented
275	C₂×#2403	C₂³	1	2	yes	—
276	C₂×#2403	C₂³	1	2	yes	—
277	C₂×#2403	C₂³	1	8	yes	—
278	#34356	C₂³	1	2	yes	complemented
279	#34356	C₂³	1	2	yes	complemented
280	#34171	C₂³	1	2	yes	complemented
281	#34044	D₄	1	2	yes	complemented
282	C₂×#2309	C₂³	1	1	yes	characteristic
283	C₂×#2309	C₂³	1	2	yes	—
284	C₂×#2308	D₄	1	2	yes	complemented
285	C₂×#2308	D₄	1	2	yes	complemented
286	C₂×#2308	C₂³	1	1	yes	characteristic
287	C₂×#2308	C₂³	1	1	yes	characteristic
288	C₂×#2308	C₂³	1	2	yes	—
289	C₂×#2308	C₂³	1	2	yes	—
290	#33020	C₂³	1	16	yes	complemented
291	#32900	C₂³	1	8	yes	—
292	#32900	C₂³	1	8	yes	—
293	#32900	C₂³	1	8	yes	—
294	#32900	C₂³	1	8	yes	—
295	#32900	C₂³	1	8	yes	complemented
296	#32900	C₂³	1	8	yes	complemented
297	#32900	C₂³	1	8	yes	complemented
298	#32900	C₂³	1	8	yes	complemented
299	#32898	C₂³	1	8	yes	—
300	#32898	C₂³	1	8	yes	—
301	#32898	C₂³	1	8	yes	—
302	#32898	C₂³	1	8	yes	—
303	#32898	C₂³	1	8	yes	—
304	#32898	C₂³	1	8	yes	—
305	#32898	C₂³	1	8	yes	—
306	#32898	C₂³	1	8	yes	—
307	#32898	C₂³	1	8	yes	—
308	#32898	C₂³	1	8	yes	—
309	#32898	C₂³	1	8	yes	—
310	#32898	C₂³	1	8	yes	—
311	#32898	C₂³	1	8	yes	complemented
312	#32898	C₂³	1	8	yes	complemented
313	#32898	C₂³	1	8	yes	complemented
314	#32898	C₂³	1	8	yes	complemented
315	#32898	C₂³	1	16	yes	complemented
316	#29634	C₂³	1	16	yes	complemented
317	#29634	C₂³	1	16	yes	complemented
318	#21746	C₂³	1	8	yes	complemented
319	#21746	C₂³	1	8	yes	complemented
320	#20586	C₂³	1	2	yes	—
321	#20586	C₂³	1	2	yes	—
322	#20586	C₂³	1	2	yes	—
323	#20586	C₂³	1	2	yes	—
324	#20586	C₂³	1	8	yes	complemented
325	#20586	C₂³	1	4	yes	complemented
326	#20586	C₂³	1	4	yes	complemented
327	#20585	C₂³	1	2	yes	—
328	#20585	C₂³	1	4	yes	—
329	#20585	C₂³	1	2	yes	—
330	#20585	C₂³	1	2	yes	—
331	#20585	C₂³	1	2	yes	—
332	#20585	C₂³	1	8	yes	—
333	#20585	C₂³	1	4	yes	—
334	#20585	C₂³	1	2	yes	—
335	#20585	C₂³	1	2	yes	—
336	#20585	C₂³	1	2	yes	—
337	#20585	C₂³	1	2	yes	—
338	#20585	C₂³	1	4	yes	complemented
339	#20585	C₂³	1	4	yes	complemented
340	#20585	C₂³	1	8	yes	complemented
341	C₂×#1781	C₂³	1	8	yes	—
342	C₂×#1781	C₂³	1	8	yes	—
343	C₂×#1781	C₂³	1	8	yes	—
344	C₂×#1781	C₂³	1	2	yes	—
345	C₂×#1781	C₂³	1	2	yes	—
346	C₂×#1781	C₂³	1	2	yes	—
347	C₂×#1781	C₂³	1	2	yes	—
348	C₂×#1781	C₂³	1	2	yes	—
349	C₂×#1781	C₂³	1	2	yes	—
350	C₂×#1781	C₂³	1	8	yes	complemented
351	#10392	C₂³	1	16	yes	complemented
352	#10392	C₂³	1	16	yes	complemented
353	#10392	C₂³	1	16	yes	complemented
354	#10390	C₂³	1	16	yes	complemented
355	#10338	C₂³	1	16	yes	complemented
356	#10337	C₂³	1	16	yes	complemented
357	#10337	C₂³	1	16	yes	complemented
358	#10337	C₂³	1	16	yes	complemented
359	#10337	C₂³	1	16	yes	complemented
360	#10337	C₂³	1	16	yes	complemented
361	#10337	C₂³	1	16	yes	complemented
362	#10336	C₂³	1	16	yes	complemented
363	#10336	C₂³	1	16	yes	complemented
364	#10336	C₂³	1	16	yes	complemented
365	#10336	C₂³	1	16	yes	complemented
366	#10336	C₂³	1	16	yes	complemented
367	#9501	C₂³	1	8	yes	complemented
368	#9501	C₂³	1	8	yes	complemented
369	#9499	C₂³	1	8	yes	complemented
370	#9499	C₂³	1	8	yes	complemented
371	#9499	C₂³	1	8	yes	complemented
372	#9499	C₂³	1	8	yes	complemented
373	#9499	C₂³	1	8	yes	complemented
374	#9499	C₂³	1	8	yes	complemented
375	#9498	C₂³	1	16	yes	complemented
376	#9498	C₂³	1	16	yes	complemented
377	#9497	C₂³	1	8	yes	complemented
378	#9497	C₂³	1	8	yes	complemented
379	#9497	C₂³	1	8	yes	complemented
380	#9497	C₂³	1	8	yes	complemented
381	#9497	C₂³	1	8	yes	complemented
382	#9497	C₂³	1	8	yes	complemented
383	#9497	C₂³	1	16	yes	complemented
384	#9497	C₂³	1	16	yes	complemented
385	#9497	C₂³	1	16	yes	complemented
386	#9497	C₂³	1	16	yes	complemented
387	#9496	C₂³	1	16	yes	complemented
388	#9496	C₂³	1	16	yes	complemented
389	#9495	C₂³	1	8	yes	complemented
390	#9495	C₂³	1	8	yes	complemented
391	#9495	C₂³	1	8	yes	complemented
392	#9495	C₂³	1	8	yes	complemented
393	#9495	C₂³	1	8	yes	complemented
394	#9495	C₂³	1	8	yes	complemented
395	#9495	C₂³	1	8	yes	complemented
396	#9495	C₂³	1	8	yes	complemented
397	#9495	C₂³	1	8	yes	complemented
398	#9495	C₂³	1	8	yes	complemented
399	#9495	C₂³	1	16	yes	complemented
400	#9495	C₂³	1	16	yes	complemented
401	#9495	C₂³	1	16	yes	complemented
402	#9495	C₂³	1	16	yes	complemented
403	#8749	C₂³	1	8	yes	complemented
404	#8748	C₂³	1	4	yes	complemented
405	#8748	C₂³	1	4	yes	complemented
406	#8747	C₂³	1	4	yes	complemented
407	#8747	C₂³	1	8	yes	complemented
408	#8747	C₂³	1	4	yes	complemented
409	#8747	C₂³	1	4	yes	complemented
410	#8747	C₂³	1	4	yes	complemented
411	#8746	C₂³	1	8	yes	complemented
412	#8546	C₂³	1	4	yes	complemented
413	#8544	C₂³	1	4	yes	complemented
414	#8543	C₂³	1	4	yes	complemented
415	#8542	C₂³	1	8	yes	complemented
416	#8542	C₂³	1	8	yes	complemented
417	#8541	C₂³	1	4	yes	complemented
418	#8541	C₂³	1	8	yes	complemented
419	#8541	C₂³	1	4	yes	complemented
420	#8541	C₂³	1	4	yes	complemented
421	#8101	C₂³	1	8	yes	complemented
422	#8101	C₂³	1	8	yes	complemented
423	C₂×#1304	C₂³	1	8	yes	complemented
424	C₂⁷	C₂×D₄	1	1	yes	characteristic, complemented
425	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
426	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
427	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
428	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
429	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
430	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
431	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
432	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
433	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
434	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
435	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
436	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
437	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
438	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
439	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
440	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
441	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	complemented
442	C₂³×#41	C₂×D₄	1	2	yes	—
443	C₂³×#41	C₂×D₄	1	2	yes	—
444	C₂³×#41	C₂×D₄	1	2	yes	—
445	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
446	C₂⁴×D₄	C₂×D₄	1	2	yes	—
447	C₂⁴×D₄	C₂×D₄	1	2	yes	—
448	C₂⁴×D₄	C₂×D₄	1	2	yes	—
449	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
450	C₂⁴×D₄	C₂⁴	1	2	yes	—
451	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
452	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
453	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
454	C₂⁴×D₄	C₂⁴	1	4	yes	—
455	C₂×#536	C₂×D₄	1	2	yes	complemented
456	C₂×#536	C₂×D₄	1	2	yes	complemented
457	C₂×#535	C₂×D₄	1	2	yes	complemented
458	C₂×#535	C₂×D₄	1	2	yes	complemented
459	C₂×#534	C₂×D₄	1	4	yes	—
460	C₂×#534	C₂×D₄	1	4	yes	complemented
461	C₂×#534	C₂×D₄	1	4	yes	complemented
462	C₂×#534	C₂×D₄	1	4	yes	complemented
463	C₂×#534	C₂×D₄	1	4	yes	complemented
464	C₂×#534	C₂×D₄	1	4	yes	complemented
465	C₂×#534	C₂⁴	1	2	yes	complemented
466	C₂×#534	C₂⁴	1	2	yes	complemented
467	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
468	C₂²×#127	C₂⁴	1	1	yes	characteristic
469	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
470	C₂²×#124	C₂⁴	1	1	yes	characteristic
471	C₂×#525	C₂×D₄	1	4	yes	complemented
472	C₂×#525	C₂×D₄	1	4	yes	complemented
473	C₂²×#123	C₂×D₄	1	2	yes	complemented
474	C₂²×#123	C₂×D₄	1	2	yes	complemented
475	C₂²×#123	C₂×D₄	1	1	yes	characteristic, complemented
476	C₂²×#123	C₂×D₄	1	2	yes	complemented
477	C₂²×#123	C₂⁴	1	1	yes	characteristic
478	C₂²×#121	C₂×D₄	1	2	yes	complemented
479	C₂²×#121	C₂×D₄	1	2	yes	complemented
480	C₂²×#121	C₂⁴	1	2	yes	—
481	C₂²×#121	C₂⁴	1	2	yes	—
482	C₂²×#120	C₂×D₄	1	4	yes	—
483	C₂²×#120	C₂×D₄	1	4	yes	—
484	C₂²×#120	C₂×D₄	1	2	yes	—
485	C₂²×#120	C₂×D₄	1	2	yes	—
486	C₂²×#120	C₂×D₄	1	4	yes	complemented
487	C₂²×#120	C₂×D₄	1	4	yes	complemented
488	C₂²×#120	C₂×D₄	1	2	yes	complemented
489	C₂²×#120	C₂×D₄	1	2	yes	complemented
490	C₂²×#120	C₂×D₄	1	2	yes	complemented
491	C₂²×#120	C₂×D₄	1	2	yes	complemented
492	C₂²×#120	C₂×D₄	1	1	yes	characteristic, complemented
493	C₂²×#120	C₂×D₄	1	2	yes	complemented
494	C₂²×#120	C₂×D₄	1	1	yes	characteristic, complemented
495	C₂²×#120	C₂×D₄	1	2	yes	complemented
496	C₂²×#120	C₂×D₄	1	1	yes	characteristic, complemented
497	C₂²×#120	C₂⁴	1	1	yes	characteristic
498	C₂²×#120	C₂⁴	1	2	yes	—
499	C₂²×#120	C₂⁴	1	1	yes	characteristic
500	C₂²×#120	C₂⁴	1	2	yes	—
501	C₂²×#120	C₂⁴	1	2	yes	—
502	C₂²×#120	C₂⁴	1	1	yes	characteristic
503	C₂×#518	C₂⁴	1	2	yes	complemented
504	C₂²×#117	C₂×D₄	1	2	yes	complemented
505	C₂²×#117	C₂×D₄	1	1	yes	characteristic, complemented
506	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
507	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
508	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
509	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
510	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
511	#2842	C₂⁴	1	2	yes	complemented
512	#2842	C₂⁴	1	2	yes	complemented
513	#2842	C₂⁴	1	2	yes	complemented
514	#2840	C₂⁴	1	2	yes	complemented
515	#2483	C₂⁴	1	2	yes	complemented
516	#2406	C₂×D₄	1	4	yes	complemented
517	#2406	C₂×D₄	1	4	yes	complemented
518	#2406	C₂×D₄	1	4	yes	complemented
519	#2406	C₂×D₄	1	4	yes	complemented
520	#2405	C₂×D₄	1	4	yes	—
521	#2405	C₂×D₄	1	4	yes	complemented
522	#2405	C₂×D₄	1	4	yes	complemented
523	#2405	C₂×D₄	1	4	yes	complemented
524	#2405	C₂×D₄	1	4	yes	complemented
525	#2405	C₂×D₄	1	4	yes	complemented
526	#2405	C₂×D₄	1	4	yes	complemented
527	#2405	C₂×D₄	1	4	yes	complemented
528	#2405	C₂⁴	1	16	yes	—
529	#2405	C₂⁴	1	16	yes	—
530	#2405	C₂⁴	1	2	yes	—
531	#2405	C₂⁴	1	2	yes	—
532	#2405	C₂⁴	1	2	yes	—
533	#2405	C₂⁴	1	2	yes	—
534	#2405	C₂⁴	1	2	yes	—
535	#2405	C₂⁴	1	2	yes	—
536	#2405	C₂⁴	1	2	yes	—
537	#2405	C₂⁴	1	2	yes	—
538	#2405	C₂⁴	1	2	yes	complemented
539	#2405	C₂⁴	1	2	yes	complemented
540	#2405	C₂⁴	1	2	yes	complemented
541	#2405	C₂⁴	1	2	yes	complemented
542	#2405	C₂⁴	1	2	yes	complemented
543	#2405	C₂⁴	1	2	yes	complemented
544	#2404	C₂×D₄	1	4	yes	—
545	#2404	C₂×D₄	1	4	yes	—
546	#2404	C₂×D₄	1	4	yes	—
547	#2404	C₂×D₄	1	4	yes	—
548	#2404	C₂×D₄	1	4	yes	complemented
549	#2404	C₂×D₄	1	4	yes	complemented
550	#2404	C₂×D₄	1	4	yes	complemented
551	#2404	C₂×D₄	1	4	yes	complemented
552	#2404	C₂×D₄	1	4	yes	complemented
553	#2404	C₂×D₄	1	4	yes	complemented
554	#2404	C₂×D₄	1	4	yes	complemented
555	#2404	C₂×D₄	1	4	yes	complemented
556	#2403	C₂×D₄	1	4	yes	—
557	#2403	C₂×D₄	1	4	yes	—
558	#2403	C₂×D₄	1	4	yes	—
559	#2403	C₂×D₄	1	4	yes	complemented
560	#2403	C₂×D₄	1	4	yes	complemented
561	#2403	C₂×D₄	1	4	yes	complemented
562	#2403	C₂×D₄	1	4	yes	complemented
563	#2403	C₂×D₄	1	4	yes	complemented
564	#2403	C₂×D₄	1	4	yes	complemented
565	#2403	C₂×D₄	1	4	yes	complemented
566	#2403	C₂×D₄	1	4	yes	complemented
567	#2403	C₂×D₄	1	4	yes	complemented
568	#2403	C₂⁴	1	16	yes	—
569	#2403	C₂⁴	1	16	yes	—
570	#2403	C₂⁴	1	16	yes	—
571	#2403	C₂⁴	1	16	yes	—
572	#2403	C₂⁴	1	2	yes	—
573	#2403	C₂⁴	1	2	yes	—
574	#2403	C₂⁴	1	2	yes	—
575	#2403	C₂⁴	1	2	yes	—
576	#2403	C₂⁴	1	2	yes	—
577	#2403	C₂⁴	1	2	yes	—
578	#2403	C₂⁴	1	2	yes	—
579	#2403	C₂⁴	1	2	yes	—
580	#2403	C₂⁴	1	2	yes	—
581	#2403	C₂⁴	1	2	yes	—
582	#2403	C₂⁴	1	2	yes	—
583	#2403	C₂⁴	1	2	yes	—
584	#2403	C₂⁴	1	2	yes	—
585	#2403	C₂⁴	1	2	yes	—
586	#2403	C₂⁴	1	2	yes	—
587	#2403	C₂⁴	1	2	yes	—
588	#2403	C₂⁴	1	2	yes	complemented
589	#2403	C₂⁴	1	2	yes	complemented
590	#2403	C₂⁴	1	2	yes	complemented
591	#2403	C₂⁴	1	2	yes	complemented
592	#2403	C₂⁴	1	2	yes	complemented
593	#2312	C₂⁴	1	2	yes	complemented
594	#2312	C₂⁴	1	2	yes	complemented
595	#2312	C₂⁴	1	2	yes	complemented
596	#2312	C₂⁴	1	2	yes	complemented
597	#2311	C₂×D₄	1	4	yes	complemented
598	#2311	C₂×D₄	1	4	yes	complemented
599	#2309	C₂×D₄	1	2	yes	complemented
600	#2309	C₂×D₄	1	2	yes	complemented
601	#2309	C₂⁴	1	4	yes	—
602	#2309	C₂⁴	1	4	yes	—
603	#2309	C₂⁴	1	1	yes	characteristic
604	#2309	C₂⁴	1	1	yes	characteristic
605	#2309	C₂⁴	1	2	yes	—
606	#2309	C₂⁴	1	2	yes	complemented
607	#2309	C₂⁴	1	2	yes	complemented
608	#2309	C₂⁴	1	2	yes	complemented
609	#2309	C₂⁴	1	2	yes	complemented
610	#2308	C₂×D₄	1	4	yes	—
611	#2308	C₂×D₄	1	2	yes	—
612	#2308	C₂×D₄	1	2	yes	—
613	#2308	C₂×D₄	1	4	yes	—
614	#2308	C₂×D₄	1	2	yes	complemented
615	#2308	C₂×D₄	1	4	yes	complemented
616	#2308	C₂×D₄	1	2	yes	complemented
617	#2308	C₂×D₄	1	4	yes	complemented
618	#2308	C₂×D₄	1	4	yes	complemented
619	#2308	C₂×D₄	1	4	yes	complemented
620	#2308	C₂×D₄	1	2	yes	complemented
621	#2308	C₂×D₄	1	2	yes	complemented
622	#2308	C₂×D₄	1	2	yes	complemented
623	#2308	C₂×D₄	1	2	yes	complemented
624	#2308	C₂×D₄	1	2	yes	complemented
625	#2308	C₂×D₄	1	2	yes	complemented
626	#2308	C₂×D₄	1	2	yes	complemented
627	#2308	C₂×D₄	1	2	yes	complemented
628	#2308	C₂⁴	1	4	yes	—
629	#2308	C₂⁴	1	4	yes	—
630	#2308	C₂⁴	1	4	yes	—
631	#2308	C₂⁴	1	4	yes	—
632	#2308	C₂⁴	1	1	yes	characteristic
633	#2308	C₂⁴	1	2	yes	—
634	#2308	C₂⁴	1	1	yes	characteristic
635	#2308	C₂⁴	1	1	yes	characteristic
636	#2308	C₂⁴	1	1	yes	characteristic
637	#2308	C₂⁴	1	2	yes	—
638	#2308	C₂⁴	1	2	yes	complemented
639	#2308	C₂⁴	1	2	yes	complemented
640	#2308	C₂⁴	1	2	yes	complemented
641	#2308	C₂⁴	1	2	yes	complemented
642	#2297	C₂×D₄	1	2	yes	complemented
643	#2297	C₂×D₄	1	2	yes	complemented
644	#2297	C₂×D₄	1	2	yes	complemented
645	#2297	C₂×D₄	1	2	yes	complemented
646	C₂×#386	C₂×D₄	1	4	yes	—
647	C₂×#386	C₂×D₄	1	4	yes	complemented
648	C₂×#386	C₂×D₄	1	4	yes	complemented
649	C₂×#386	C₂×D₄	1	4	yes	complemented
650	C₂×#381	C₂×D₄	1	2	yes	complemented
651	C₂×#381	C₂×D₄	1	2	yes	complemented
652	C₂×#379	C₂×D₄	1	2	yes	complemented
653	C₂×#379	C₂⁴	1	4	yes	—
654	C₂×#379	C₂⁴	1	4	yes	—
655	C₂×#379	C₂⁴	1	4	yes	—
656	C₂×#379	C₂⁴	1	2	yes	—
657	C₂×#379	C₂⁴	1	2	yes	—
658	C₂×#379	C₂⁴	1	2	yes	—
659	#1819	C₂⁴	1	16	yes	complemented
660	#1819	C₂⁴	1	16	yes	complemented
661	#1781	C₂⁴	1	4	yes	—
662	#1781	C₂⁴	1	4	yes	—
663	#1781	C₂⁴	1	16	yes	—
664	#1781	C₂⁴	1	16	yes	—
665	#1781	C₂⁴	1	4	yes	—
666	#1781	C₂⁴	1	4	yes	—
667	#1781	C₂⁴	1	4	yes	—
668	#1781	C₂⁴	1	4	yes	—
669	#1781	C₂⁴	1	4	yes	—
670	#1781	C₂⁴	1	4	yes	—
671	#1781	C₂⁴	1	16	yes	—
672	#1781	C₂⁴	1	16	yes	—
673	#1781	C₂⁴	1	16	yes	—
674	#1781	C₂⁴	1	16	yes	—
675	#1781	C₂⁴	1	4	yes	—
676	#1781	C₂⁴	1	4	yes	—
677	#1781	C₂⁴	1	4	yes	—
678	#1781	C₂⁴	1	4	yes	—
679	#1781	C₂⁴	1	16	yes	complemented
680	#1781	C₂⁴	1	16	yes	complemented
681	#1781	C₂⁴	1	16	yes	complemented
682	#1781	C₂⁴	1	16	yes	complemented
683	#1304	C₂⁴	1	16	yes	complemented
684	#1304	C₂⁴	1	16	yes	complemented
685	#1304	C₂⁴	1	16	yes	complemented
686	#1304	C₂⁴	1	16	yes	complemented
687	#1304	C₂⁴	1	16	yes	complemented
688	#1304	C₂⁴	1	16	yes	complemented
689	C₂⁶	#120	1	2	yes	—
690	C₂⁶	C₂²×D₄	1	1	yes	characteristic
691	C₂⁶	C₂²×D₄	1	1	yes	characteristic
692	C₂⁶	C₂²×D₄	1	2	yes	—
693	C₂⁶	C₂²×D₄	1	1	yes	characteristic
694	C₂⁶	C₂²×D₄	1	1	yes	characteristic
695	C₂⁶	C₂²×D₄	1	2	yes	—
696	C₂⁶	C₂²×D₄	1	1	yes	characteristic
697	C₂⁶	C₂²×D₄	1	1	yes	characteristic, complemented
698	C₂⁶	H(5,𝔽₂)	1	4	yes	—
699	C₂⁶	C₂⁵	1	1	yes	characteristic
700	C₂²×#41	#120	1	2	yes	—
701	C₂²×#41	#120	1	2	yes	—
702	C₂²×#41	#120	1	2	yes	—
703	C₂²×#41	#120	1	2	yes	—
704	C₂²×#41	#120	1	2	yes	—
705	C₂²×#41	#120	1	2	yes	—
706	C₂²×#41	#120	1	2	yes	—
707	C₂²×#41	#120	1	2	yes	—
708	C₂²×#41	#120	1	2	yes	—
709	C₂²×#41	#120	1	2	yes	—
710	C₂²×#41	#120	1	2	yes	—
711	C₂²×#41	#120	1	2	yes	—
712	C₂²×#41	C₂²×D₄	1	2	yes	—
713	C₂²×#41	C₂²×D₄	1	2	yes	—
714	C₂²×#41	C₂²×D₄	1	2	yes	—
715	C₂²×#41	C₂²×D₄	1	2	yes	—
716	C₂²×#41	C₂²×D₄	1	2	yes	—
717	C₂²×#41	C₂²×D₄	1	2	yes	—
718	C₂²×#41	C₂²×D₄	1	2	yes	—
719	C₂²×#41	C₂²×D₄	1	2	yes	—
720	C₂²×#41	C₂²×D₄	1	2	yes	—
721	C₂²×#41	C₂²×D₄	1	2	yes	—
722	C₂²×#41	C₂²×D₄	1	2	yes	—
723	C₂²×#41	C₂²×D₄	1	2	yes	—
724	C₂³×Q₈	#120	1	2	yes	—
725	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic, complemented
726	C₂³×D₄	#120	1	2	yes	—
727	C₂³×D₄	#120	1	2	yes	—
728	C₂³×D₄	#120	1	2	yes	—
729	C₂³×D₄	#120	1	2	yes	—
730	C₂³×D₄	#120	1	2	yes	—
731	C₂³×D₄	#120	1	2	yes	—
732	C₂³×D₄	#120	1	2	yes	—
733	C₂³×D₄	#120	1	2	yes	—
734	C₂³×D₄	#120	1	2	yes	—
735	C₂³×D₄	#120	1	2	yes	—
736	C₂³×D₄	#120	1	2	yes	—
737	C₂³×D₄	#120	1	2	yes	—
738	C₂³×D₄	#120	1	2	yes	—
739	C₂³×D₄	#120	1	2	yes	—
740	C₂³×D₄	#120	1	2	yes	—
741	C₂³×D₄	C₂²×D₄	1	2	yes	—
742	C₂³×D₄	C₂²×D₄	1	2	yes	—
743	C₂³×D₄	C₂²×D₄	1	2	yes	—
744	C₂³×D₄	C₂²×D₄	1	2	yes	—
745	C₂³×D₄	C₂²×D₄	1	2	yes	—
746	C₂³×D₄	C₂²×D₄	1	2	yes	—
747	C₂³×D₄	C₂²×D₄	1	2	yes	—
748	C₂³×D₄	C₂²×D₄	1	2	yes	—
749	C₂³×D₄	C₂²×D₄	1	2	yes	—
750	C₂³×D₄	C₂²×D₄	1	2	yes	—
751	C₂³×D₄	C₂²×D₄	1	2	yes	—
752	C₂³×D₄	C₂²×D₄	1	2	yes	—
753	C₂³×D₄	C₂²×D₄	1	2	yes	—
754	C₂³×D₄	C₂²×D₄	1	2	yes	—
755	C₂³×D₄	C₂²×D₄	1	2	yes	—
756	C₂³×D₄	C₂²×D₄	1	2	yes	—
757	C₂³×D₄	C₂²×D₄	1	2	yes	—
758	C₂³×D₄	C₂²×D₄	1	2	yes	—
759	C₂³×D₄	C₂²×D₄	1	2	yes	—
760	C₂³×D₄	C₂²×D₄	1	2	yes	—
761	C₂³×D₄	C₂²×D₄	1	2	yes	—
762	C₂³×D₄	C₂²×D₄	1	2	yes	—
763	C₂³×D₄	C₂²×D₄	1	2	yes	—
764	C₂³×D₄	C₂²×D₄	1	2	yes	—
765	C₂³×D₄	C₂²×D₄	1	2	yes	—
766	C₂³×D₄	C₂²×D₄	1	2	yes	—
767	C₂³×D₄	C₂²×D₄	1	2	yes	—
768	C₂³×D₄	C₂²×D₄	1	2	yes	—
769	C₂³×D₄	C₂²×D₄	1	2	yes	—
770	C₂³×D₄	C₂²×D₄	1	2	yes	—
771	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
772	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
773	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
774	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
775	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
776	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
777	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
778	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic, complemented
779	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
780	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
781	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
782	C₂³×D₄	C₂⁵	1	2	yes	—
783	C₂³×D₄	C₂⁵	1	2	yes	—
784	C₂³×D₄	C₂⁵	1	2	yes	—
785	C₂³×D₄	C₂⁵	1	2	yes	—
786	C₂³×D₄	C₂⁵	1	1	yes	characteristic
787	C₂³×D₄	C₂⁵	1	1	yes	characteristic
788	C₂³×D₄	C₂⁵	1	1	yes	characteristic
789	C₂³×D₄	C₂⁵	1	1	yes	characteristic
790	C₂³×D₄	C₂⁵	1	1	yes	characteristic
791	C₂³×D₄	C₂⁵	1	1	yes	characteristic
792	C₂³×D₄	C₂⁵	1	8	yes	—
793	C₂⁴×C₄	#120	1	2	yes	—
794	C₂⁴×C₄	#120	1	2	yes	—
795	C₂⁴×C₄	#120	1	2	yes	—
796	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
797	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
798	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
799	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
800	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic, complemented
801	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
802	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
803	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
804	C₂×#123	C₂²×D₄	1	4	yes	—
805	C₂×#123	C₂²×D₄	1	4	yes	—
806	C₂×#123	C₂²×D₄	1	4	yes	—
807	C₂×#123	C₂²×D₄	1	4	yes	—
808	C₂×#123	C₂²×D₄	1	4	yes	complemented
809	C₂×#123	C₂²×D₄	1	4	yes	complemented
810	C₂×#123	C₂²×D₄	1	4	yes	complemented
811	C₂×#123	C₂²×D₄	1	4	yes	complemented
812	C₂×#120	C₂²×D₄	1	4	yes	—
813	C₂×#120	C₂²×D₄	1	4	yes	—
814	C₂×#120	C₂²×D₄	1	4	yes	—
815	C₂×#120	C₂²×D₄	1	4	yes	—
816	C₂×#120	C₂²×D₄	1	4	yes	—
817	C₂×#120	C₂²×D₄	1	4	yes	—
818	C₂×#120	C₂²×D₄	1	4	yes	—
819	C₂×#120	C₂²×D₄	1	4	yes	—
820	C₂×#120	C₂²×D₄	1	4	yes	—
821	C₂×#120	C₂²×D₄	1	4	yes	—
822	C₂×#120	C₂²×D₄	1	4	yes	—
823	C₂×#120	C₂²×D₄	1	4	yes	—
824	C₂×#120	C₂²×D₄	1	4	yes	complemented
825	C₂×#120	C₂²×D₄	1	4	yes	complemented
826	C₂×#120	C₂²×D₄	1	4	yes	complemented
827	C₂×#120	C₂²×D₄	1	4	yes	complemented
828	C₂×#117	C₂²×D₄	1	4	yes	complemented
829	C₂×#117	C₂²×D₄	1	2	yes	complemented
830	C₂×#117	C₂²×D₄	1	2	yes	complemented
831	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
832	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
833	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
834	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
835	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
836	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
837	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
838	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
839	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
840	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
841	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
842	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
843	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
844	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
845	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
846	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
847	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
848	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
849	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
850	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
851	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic, complemented
852	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic, complemented
853	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
854	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
855	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
856	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
857	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
858	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
859	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	complemented
860	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
861	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
862	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic, complemented
863	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic, complemented
864	#386	C₂²×D₄	1	4	yes	—
865	#386	C₂²×D₄	1	4	yes	—
866	#386	C₂²×D₄	1	4	yes	—
867	#386	C₂²×D₄	1	4	yes	—
868	#386	C₂²×D₄	1	4	yes	—
869	#386	C₂²×D₄	1	4	yes	—
870	#386	C₂²×D₄	1	4	yes	—
871	#386	C₂²×D₄	1	4	yes	—
872	#386	C₂²×D₄	1	4	yes	—
873	#386	C₂²×D₄	1	4	yes	—
874	#386	C₂²×D₄	1	4	yes	—
875	#386	C₂²×D₄	1	4	yes	—
876	#386	C₂²×D₄	1	4	yes	—
877	#386	C₂²×D₄	1	4	yes	—
878	#386	C₂²×D₄	1	4	yes	—
879	#386	C₂²×D₄	1	4	yes	—
880	#386	C₂²×D₄	1	4	yes	complemented
881	#386	C₂²×D₄	1	4	yes	complemented
882	#386	C₂²×D₄	1	4	yes	complemented
883	#386	C₂²×D₄	1	4	yes	complemented
884	#386	C₂²×D₄	1	4	yes	complemented
885	#386	C₂²×D₄	1	4	yes	complemented
886	#386	C₂²×D₄	1	4	yes	complemented
887	#386	C₂²×D₄	1	4	yes	complemented
888	#381	C₂²×D₄	1	2	yes	—
889	#381	C₂²×D₄	1	4	yes	—
890	#381	C₂²×D₄	1	2	yes	—
891	#381	C₂²×D₄	1	2	yes	complemented
892	#381	C₂²×D₄	1	2	yes	complemented
893	#381	C₂²×D₄	1	4	yes	complemented
894	#379	C₂²×D₄	1	4	yes	—
895	#379	C₂²×D₄	1	4	yes	—
896	#379	C₂²×D₄	1	4	yes	—
897	#379	C₂²×D₄	1	2	yes	complemented
898	#379	C₂²×D₄	1	2	yes	complemented
899	#379	C₂²×D₄	1	4	yes	complemented
900	#379	C₂⁵	1	8	yes	—
901	#379	C₂⁵	1	8	yes	—
902	#379	C₂⁵	1	8	yes	—
903	#379	C₂⁵	1	2	yes	—
904	#379	C₂⁵	1	2	yes	—
905	#379	C₂⁵	1	2	yes	—
906	#379	C₂⁵	1	2	yes	—
907	#379	C₂⁵	1	2	yes	—
908	#379	C₂⁵	1	2	yes	—
909	C₂⁵	C₂×#120	1	2	yes	—
910	C₂⁵	C₂×#120	1	2	yes	—
911	C₂⁵	C₂×#120	1	2	yes	—
912	C₂⁵	C₂×#120	1	2	yes	—
913	C₂⁵	C₂×#120	1	2	yes	—
914	C₂⁵	C₂×#120	1	2	yes	—
915	C₂⁵	C₂×#120	1	2	yes	—
916	C₂⁵	C₂×#120	1	2	yes	—
917	C₂⁵	C₂×#120	1	2	yes	—
918	C₂⁵	C₂×#120	1	2	yes	—
919	C₂⁵	C₂³×D₄	1	1	yes	characteristic
920	C₂⁵	C₂³×D₄	1	1	yes	characteristic
921	C₂⁵	C₂³×D₄	1	1	yes	characteristic
922	C₂⁵	C₂³×D₄	1	1	yes	characteristic
923	C₂⁵	C₂³×D₄	1	1	yes	characteristic
924	C₂⁵	C₂³×D₄	1	1	yes	characteristic
925	C₂⁵	C₂³×D₄	1	1	yes	characteristic
926	C₂⁵	C₂³×D₄	1	2	yes	—
927	C₂⁵	C₂³×D₄	1	2	yes	—
928	C₂⁵	C₂³×D₄	1	2	yes	—
929	C₂⁵	C₂³×D₄	1	2	yes	—
930	C₂⁵	C₂³×D₄	1	1	yes	characteristic
931	C₂⁵	C₂³×D₄	1	1	yes	characteristic
932	C₂⁵	C₂³×D₄	1	1	yes	characteristic
933	C₂⁵	C₂³×D₄	1	1	yes	characteristic
934	C₂⁵	C₂³×D₄	1	1	yes	characteristic
935	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
936	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
937	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
938	C₂⁵	C₂⁶	1	1	yes	characteristic
939	C₂²×Q₈	C₂×#120	1	2	yes	—
940	C₂²×Q₈	C₂×#120	1	2	yes	—
941	C₂²×Q₈	C₂×#120	1	2	yes	—
942	C₂²×Q₈	C₂×#120	1	2	yes	—
943	C₂²×D₄	B(4,𝔽₂)	1	16	yes	complemented
944	C₂²×D₄	C₂×#120	1	2	yes	—
945	C₂²×D₄	C₂×#120	1	2	yes	—
946	C₂²×D₄	C₂×#120	1	2	yes	—
947	C₂²×D₄	C₂×#120	1	2	yes	—
948	C₂²×D₄	C₂×#120	1	2	yes	—
949	C₂²×D₄	C₂×#120	1	2	yes	—
950	C₂²×D₄	C₂×#120	1	2	yes	—
951	C₂²×D₄	C₂×#120	1	2	yes	—
952	C₂²×D₄	C₂×#120	1	2	yes	—
953	C₂²×D₄	C₂×#120	1	2	yes	—
954	C₂²×D₄	C₂×#120	1	2	yes	—
955	C₂²×D₄	C₂×#120	1	2	yes	—
956	C₂²×D₄	C₂×#120	1	2	yes	—
957	C₂²×D₄	C₂×#120	1	2	yes	—
958	C₂²×D₄	C₂×#120	1	2	yes	—
959	C₂²×D₄	C₂×#120	1	2	yes	—
960	C₂²×D₄	C₂×#120	1	2	yes	—
961	C₂²×D₄	C₂×#120	1	2	yes	—
962	C₂²×D₄	C₂×#120	1	2	yes	—
963	C₂²×D₄	C₂×#120	1	2	yes	—
964	C₂²×D₄	C₂×#120	1	2	yes	—
965	C₂²×D₄	C₂×#120	1	2	yes	—
966	C₂²×D₄	C₂×#120	1	2	yes	—
967	C₂²×D₄	C₂×#120	1	2	yes	—
968	C₂²×D₄	C₂³×D₄	1	2	yes	—
969	C₂²×D₄	C₂³×D₄	1	2	yes	—
970	C₂²×D₄	C₂³×D₄	1	2	yes	—
971	C₂²×D₄	C₂³×D₄	1	2	yes	—
972	C₂²×D₄	C₂³×D₄	1	2	yes	—
973	C₂²×D₄	C₂³×D₄	1	2	yes	—
974	C₂²×D₄	C₂³×D₄	1	2	yes	—
975	C₂²×D₄	C₂³×D₄	1	2	yes	—
976	C₂²×D₄	C₂³×D₄	1	2	yes	—
977	C₂²×D₄	C₂³×D₄	1	2	yes	—
978	C₂²×D₄	C₂³×D₄	1	2	yes	—
979	C₂²×D₄	C₂³×D₄	1	2	yes	—
980	C₂³×C₄	C₂×#120	1	2	yes	—
981	C₂³×C₄	C₂×#120	1	2	yes	—
982	C₂³×C₄	C₂×#120	1	2	yes	—
983	C₂³×C₄	C₂×#120	1	2	yes	—
984	C₂³×C₄	C₂×#120	1	2	yes	—
985	C₂³×C₄	C₂×#120	1	2	yes	—
986	C₂³×C₄	C₂×#120	1	2	yes	—
987	C₂³×C₄	C₂×#120	1	2	yes	—
988	C₂³×C₄	C₂×#120	1	2	yes	—
989	C₂³×C₄	C₂×#120	1	2	yes	—
990	C₂³×C₄	C₂×#120	1	2	yes	—
991	C₂³×C₄	C₂×#120	1	2	yes	—
992	C₂³×C₄	C₂×#120	1	2	yes	—
993	C₂³×C₄	C₂×#120	1	2	yes	—
994	C₂³×C₄	C₂×#120	1	2	yes	—
995	C₂³×C₄	C₂×#120	1	2	yes	—
996	C₂³×C₄	C₂×#120	1	2	yes	—
997	C₂³×C₄	C₂×#120	1	2	yes	—
998	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
999	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1000	C₂³×C₄	C₂³×D₄	1	2	yes	—
1001	C₂³×C₄	C₂³×D₄	1	2	yes	—
1002	C₂³×C₄	C₂³×D₄	1	2	yes	—
1003	C₂³×C₄	C₂³×D₄	1	2	yes	—
1004	C₂³×C₄	C₂³×D₄	1	2	yes	—
1005	C₂³×C₄	C₂³×D₄	1	2	yes	—
1006	C₂³×C₄	C₂³×D₄	1	2	yes	—
1007	C₂³×C₄	C₂³×D₄	1	2	yes	—
1008	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1009	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1010	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1011	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1012	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1013	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1014	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1015	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1016	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1017	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1018	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1019	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	—
1020	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	—
1021	C₂⁴	C₂²×#120	1	2	yes	—
1022	C₂⁴	C₂²×#120	1	2	yes	—
1023	C₂⁴	C₂²×#120	1	1	yes	characteristic
1024	C₂⁴	C₂²×#120	1	1	yes	characteristic
1025	C₂⁴	C₂²×#120	1	1	yes	characteristic
1026	C₂⁴	C₂²×#120	1	2	yes	—
1027	C₂⁴	C₂²×#120	1	2	yes	—
1028	C₂⁴	C₂²×#120	1	2	yes	—
1029	C₂⁴	C₂²×#120	1	2	yes	—
1030	C₂⁴	C₂²×#120	1	1	yes	characteristic
1031	C₂⁴	#3484	1	2	yes	—
1032	C₂⁴	#3484	1	2	yes	—
1033	C₂⁴	#3484	1	2	yes	—
1034	C₂⁴	#3484	1	2	yes	—
1035	C₂⁴	#3484	1	2	yes	—
1036	C₂⁴	#3484	1	2	yes	—
1037	C₂⁴	#3484	1	4	yes	—
1038	C₂⁴	#3484	1	4	yes	—
1039	C₂⁴	#3484	1	4	yes	—
1040	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1041	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1042	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1043	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
1044	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
1045	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
1046	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
1047	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
1048	C₂²×C₄	C₂×B(4,𝔽₂)	1	8	yes	—
1049	C₂²×C₄	C₂²×#120	1	2	yes	—
1050	C₂²×C₄	C₂²×#120	1	2	yes	—
1051	C₂²×C₄	C₂²×#120	1	2	yes	—
1052	C₂²×C₄	C₂²×#120	1	2	yes	—
1053	C₂²×C₄	C₂²×#120	1	2	yes	—
1054	C₂²×C₄	C₂²×#120	1	2	yes	—
1055	C₂³	#35346	1	2	yes	—
1056	C₂³	#35346	1	2	yes	—
1057	C₂³	#35346	1	2	yes	—
1058	C₂³	#35346	1	1	yes	characteristic
1059	C₂³	#35346	1	1	yes	characteristic
1060	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1061	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1062	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1063	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1064	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1065	C₂³	C₂³×#120	1	1	yes	characteristic
1066	C₂³	C₂×#3484	1	2	yes	—
1067	C₂³	C₂×#3484	1	2	yes	—
1068	C₂³	C₂×#3484	1	2	yes	—
1069	C₂×C₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1070	C₂×C₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1071	C₂²	#6499867	1	2	yes	—
1072	C₂²	#6499867	1	2	yes	—
1073	C₂²	C₂×#35346	1	1	yes	characteristic
1074	C₂²	C₂³×B(4,𝔽₂)	1	2	yes	—
1075	C₂	C₂×#6499867	1	1	yes	characteristic
1076	C₂	#72234693	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	C₂×#35346
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72341833	C₂	semidirect
2. #72340437	C₂	semidirect
3. #72340431	C₂	semidirect
4. #72340347	C₂	semidirect
5. #72340216	C₂	semidirect
6. #72338894	C₂	semidirect
7. #72311890	C₂	semidirect
8. #72311058	C₂	semidirect
9. #72284823	C₂	semidirect
10. #72284724	C₂	semidirect
11. #72261209	C₂	semidirect
12. #72258067	C₂	semidirect
13. #72258061	C₂	semidirect
14. C₂×#213854	C₂	semidirect
15. #72240631	C₂	semidirect
16. #72240597	C₂	semidirect
17. #72240110	C₂	semidirect
18. #72237496	C₂	semidirect
19. C₂×#6628896	C₂	semidirect
20. #72234418	C₂	semidirect
21. #72233435	C₂	semidirect
22. #72233065	C₂	semidirect
23. #72210439	C₂	semidirect
24. C₂²×H(7,𝔽₂)	C₂²	semidirect
25. #8934366	C₂²	semidirect
26. #8932958	C₂²	semidirect
27. #8932922	C₂²	semidirect
28. #8928621	C₂²	semidirect
29. #8926849	C₂²	semidirect
30. #8926785	C₂²	semidirect
31. #8899248	C₂²	semidirect
32. #8898948	C₂²	semidirect
33. #8898234	C₂²	semidirect
34. #8898065	C₂²	semidirect
35. #7721792	C₂²	semidirect
36. #7721789	C₂²	semidirect
37. #7721729	C₂²	semidirect
38. #7721725	C₂²	semidirect
39. #7712816	C₂²	semidirect
40. #7642244	C₂²	semidirect
42. #7630502	C₂²	semidirect
44. #7630442	C₂²	semidirect
46. C₂×#35346	C₂²	semidirect
47. #6628902	C₂²	semidirect
48. #6628902	C₂²	semidirect
49. #6628901	C₂²	semidirect
50. #6628901	C₂²	semidirect
51. #6628900	C₂²	semidirect
52. #6628900	C₂²	semidirect
53. #6628898	C₂²	semidirect
54. #6628898	C₂²	semidirect
55. #6628897	C₂²	semidirect
56. #6628897	C₂²	semidirect
58. #6628896	C₂²	semidirect
59. #6628896	C₂²	semidirect
60. #6628896	C₂²	semidirect
61. #6628896	C₂²	semidirect
62. #6628896	C₂²	semidirect
63. #6628896	C₂²	semidirect
64. #6628896	C₂²	semidirect
65. #6628892	C₂²	semidirect
66. #6628892	C₂²	semidirect
67. #6628892	C₂²	semidirect
68. #6628892	C₂²	semidirect
69. C₂×#32898	C₂²	semidirect
70. C₂×#32898	C₂²	semidirect
71. #6470225	C₂²	semidirect
72. C₂×#20586	C₂²	semidirect
73. C₂×#20586	C₂²	semidirect
74. C₂×#20585	C₂²	semidirect
75. C₂×#20585	C₂²	semidirect
76. C₂×#20585	C₂²	semidirect
77. C₂×#20585	C₂²	semidirect
78. #251878	C₂²	semidirect
79. #251877	C₂²	semidirect
80. #251877	C₂²	semidirect
81. #251877	C₂²	semidirect
82. #251872	C₂²	semidirect
83. #251871	C₂²	semidirect
84. #251871	C₂²	semidirect
85. #251871	C₂²	semidirect
86. #251865	C₂²	semidirect
87. #251865	C₂²	semidirect
88. #251860	C₂²	semidirect
89. #251860	C₂²	semidirect
90. #251859	C₂²	semidirect
91. #251859	C₂²	semidirect
92. #251859	C₂²	semidirect
93. #251859	C₂²	semidirect
94. #251855	C₂²	semidirect
95. #251854	C₂²	semidirect
96. #251844	C₂²	semidirect
97. #251843	C₂²	semidirect
98. #251838	C₂²	semidirect
99. #251837	C₂²	semidirect
100. #251828	C₂²	semidirect
101. #251827	C₂²	semidirect
102. #245256	C₂²	semidirect
103. #245255	C₂²	semidirect
104. #245254	C₂²	semidirect
105. #245252	C₂²	semidirect
106. #245251	C₂²	semidirect
107. #245249	C₂²	semidirect
108. #245247	C₂²	semidirect
109. #245246	C₂²	semidirect
110. #245246	C₂²	semidirect
111. #245246	C₂²	semidirect
112. #245246	C₂²	semidirect
113. #245246	C₂²	semidirect
114. #245235	C₂²	semidirect
115. #245233	C₂²	semidirect
116. #245231	C₂²	semidirect
117. #245229	C₂²	semidirect
118. #245229	C₂²	semidirect
119. #245228	C₂²	semidirect
120. #245227	C₂²	semidirect
121. #245226	C₂²	semidirect
122. #245226	C₂²	semidirect
123. #245225	C₂²	semidirect
124. #245225	C₂²	semidirect
125. #245225	C₂²	semidirect
126. #238082	C₂²	semidirect
127. #233549	C₂²	semidirect
128. #233541	C₂²	semidirect
129. #233541	C₂²	semidirect
130. #213864	C₂²	semidirect
131. #213864	C₂²	semidirect
132. #213862	C₂²	semidirect
133. #213862	C₂²	semidirect
134. #213860	C₂²	semidirect
135. #213860	C₂²	semidirect
136. #213855	C₂²	semidirect
137. #213855	C₂²	semidirect
138. #213854	C₂²	semidirect
139. #213854	C₂²	semidirect
140. #213854	C₂²	semidirect
141. #213854	C₂²	semidirect
142. #213854	C₂²	semidirect
143. #213854	C₂²	semidirect
144. #213854	C₂²	semidirect
145. #213854	C₂²	semidirect
146. #213852	C₂²	semidirect
147. #213852	C₂²	semidirect
148. #201690	C₂²	semidirect
149. #201687	C₂²	semidirect
150. #201687	C₂²	semidirect
151. #201687	C₂²	semidirect
152. #201678	C₂²	semidirect
153. #201678	C₂²	semidirect
154. #201664	C₂²	semidirect
155. C₂×#9497	C₂²	semidirect
156. C₂×#9495	C₂²	semidirect
157. #190117	C₂²	semidirect
158. #190116	C₂²	semidirect
159. C₂×#8747	C₂²	semidirect
160. #188050	C₂²	semidirect
161. #188049	C₂²	semidirect
162. C₂×#8541	C₂²	semidirect
171. C₂×#3484	C₂³	semidirect
172. C₂×#3449	D₄	semidirect
174. C₂²×#534	D₄	semidirect
176. C₂³×#120	D₄	semidirect
178. #47563	C₂³	semidirect
179. #46997	C₂³	semidirect
180. #46997	C₂³	semidirect
181. #46996	C₂³	semidirect
182. #46389	C₂³	semidirect
183. #46389	C₂³	semidirect
184. #46388	C₂³	semidirect
185. #46388	C₂³	semidirect
186. #46387	C₂³	semidirect
187. #46387	C₂³	semidirect
188. #46387	C₂³	semidirect
189. #46386	C₂³	semidirect
190. #46386	C₂³	semidirect
191. #46386	C₂³	semidirect
192. #46386	C₂³	semidirect
193. #46385	C₂³	semidirect
194. #46385	C₂³	semidirect
195. #46385	C₂³	semidirect
196. #46385	C₂³	semidirect
197. #46384	C₂³	semidirect
198. #46384	C₂³	semidirect
199. #46384	C₂³	semidirect
200. #46384	C₂³	semidirect
201. #46384	C₂³	semidirect
202. #37475	C₂³	semidirect
203. #37436	C₂³	semidirect
204. #37232	C₂³	semidirect
205. #37117	C₂³	semidirect
206. #36967	C₂³	semidirect
207. #36721	C₂³	semidirect
208. #36717	C₂³	semidirect
209. #36717	C₂³	semidirect
210. #36715	C₂³	semidirect
211. #36714	C₂³	semidirect
212. #36714	C₂³	semidirect
213. #36714	C₂³	semidirect
214. #36714	C₂³	semidirect
215. #36714	C₂³	semidirect
216. #35616	D₄	semidirect
219. #35616	C₂³	semidirect
220. #35527	D₄	semidirect
223. #35527	C₂³	semidirect
224. #35527	C₂³	semidirect
225. #35512	D₄	semidirect
228. #35512	C₂³	semidirect
229. #35512	C₂³	semidirect
230. #35451	C₂³	semidirect
231. #35446	D₄	semidirect
234. #35446	C₂³	semidirect
235. #35355	C₂³	semidirect
236. #35355	C₂³	semidirect
237. #35354	C₂³	semidirect
238. #35350	C₂³	semidirect
239. #35350	C₂³	semidirect
240. #35347	D₄	semidirect
243. #35347	C₂³	semidirect
244. #35347	C₂³	semidirect
245. #35346	D₄	semidirect
246. #35346	D₄	semidirect
247. #35346	D₄	semidirect
248. #35346	D₄	semidirect
260. #35346	C₂³	semidirect
261. #35346	C₂³	semidirect
262. #35346	C₂³	semidirect
263. #35346	C₂³	semidirect
264. #35088	D₄	semidirect
265. #34980	D₄	semidirect
272. #34980	C₂³	semidirect
273. #34980	C₂³	semidirect
274. C₂×#2404	D₄	semidirect
278. #34356	C₂³	semidirect
279. #34356	C₂³	semidirect
280. #34171	C₂³	semidirect
281. #34044	D₄	semidirect
284. C₂×#2308	D₄	semidirect
285. C₂×#2308	D₄	semidirect
290. #33020	C₂³	semidirect
295. #32900	C₂³	semidirect
296. #32900	C₂³	semidirect
297. #32900	C₂³	semidirect
298. #32900	C₂³	semidirect
311. #32898	C₂³	semidirect
312. #32898	C₂³	semidirect
313. #32898	C₂³	semidirect
314. #32898	C₂³	semidirect
315. #32898	C₂³	semidirect
316. #29634	C₂³	semidirect
317. #29634	C₂³	semidirect
318. #21746	C₂³	semidirect
319. #21746	C₂³	semidirect
324. #20586	C₂³	semidirect
325. #20586	C₂³	semidirect
326. #20586	C₂³	semidirect
338. #20585	C₂³	semidirect
339. #20585	C₂³	semidirect
340. #20585	C₂³	semidirect
350. C₂×#1781	C₂³	semidirect
351. #10392	C₂³	semidirect
352. #10392	C₂³	semidirect
353. #10392	C₂³	semidirect
354. #10390	C₂³	semidirect
355. #10338	C₂³	semidirect
356. #10337	C₂³	semidirect
357. #10337	C₂³	semidirect
358. #10337	C₂³	semidirect
359. #10337	C₂³	semidirect
360. #10337	C₂³	semidirect
361. #10337	C₂³	semidirect
362. #10336	C₂³	semidirect
363. #10336	C₂³	semidirect
364. #10336	C₂³	semidirect
365. #10336	C₂³	semidirect
366. #10336	C₂³	semidirect
367. #9501	C₂³	semidirect
368. #9501	C₂³	semidirect
369. #9499	C₂³	semidirect
370. #9499	C₂³	semidirect
371. #9499	C₂³	semidirect
372. #9499	C₂³	semidirect
373. #9499	C₂³	semidirect
374. #9499	C₂³	semidirect
375. #9498	C₂³	semidirect
376. #9498	C₂³	semidirect
377. #9497	C₂³	semidirect
378. #9497	C₂³	semidirect
379. #9497	C₂³	semidirect
380. #9497	C₂³	semidirect
381. #9497	C₂³	semidirect
382. #9497	C₂³	semidirect
383. #9497	C₂³	semidirect
384. #9497	C₂³	semidirect
385. #9497	C₂³	semidirect
386. #9497	C₂³	semidirect
387. #9496	C₂³	semidirect
388. #9496	C₂³	semidirect
389. #9495	C₂³	semidirect
390. #9495	C₂³	semidirect
391. #9495	C₂³	semidirect
392. #9495	C₂³	semidirect
393. #9495	C₂³	semidirect
394. #9495	C₂³	semidirect
395. #9495	C₂³	semidirect
396. #9495	C₂³	semidirect
397. #9495	C₂³	semidirect
398. #9495	C₂³	semidirect
399. #9495	C₂³	semidirect
400. #9495	C₂³	semidirect
401. #9495	C₂³	semidirect
402. #9495	C₂³	semidirect
403. #8749	C₂³	semidirect
404. #8748	C₂³	semidirect
405. #8748	C₂³	semidirect
406. #8747	C₂³	semidirect
407. #8747	C₂³	semidirect
408. #8747	C₂³	semidirect
409. #8747	C₂³	semidirect
410. #8747	C₂³	semidirect
411. #8746	C₂³	semidirect
412. #8546	C₂³	semidirect
413. #8544	C₂³	semidirect
414. #8543	C₂³	semidirect
415. #8542	C₂³	semidirect
416. #8542	C₂³	semidirect
417. #8541	C₂³	semidirect
418. #8541	C₂³	semidirect
419. #8541	C₂³	semidirect
420. #8541	C₂³	semidirect
421. #8101	C₂³	semidirect
422. #8101	C₂³	semidirect
423. C₂×#1304	C₂³	semidirect
424. C₂⁷	C₂×D₄	semidirect
441. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
445. C₂³×#41	C₂×D₄	semidirect
449. C₂⁴×D₄	C₂×D₄	semidirect
455. C₂×#536	C₂×D₄	semidirect
456. C₂×#536	C₂×D₄	semidirect
457. C₂×#535	C₂×D₄	semidirect
458. C₂×#535	C₂×D₄	semidirect
460. C₂×#534	C₂×D₄	semidirect
461. C₂×#534	C₂×D₄	semidirect
462. C₂×#534	C₂×D₄	semidirect
463. C₂×#534	C₂×D₄	semidirect
464. C₂×#534	C₂×D₄	semidirect
465. C₂×#534	C₂⁴	semidirect
466. C₂×#534	C₂⁴	semidirect
467. C₂²×#127	C₂×D₄	semidirect
469. C₂²×#124	C₂×D₄	semidirect
471. C₂×#525	C₂×D₄	semidirect
472. C₂×#525	C₂×D₄	semidirect
473. C₂²×#123	C₂×D₄	semidirect
474. C₂²×#123	C₂×D₄	semidirect
475. C₂²×#123	C₂×D₄	semidirect
476. C₂²×#123	C₂×D₄	semidirect
478. C₂²×#121	C₂×D₄	semidirect
479. C₂²×#121	C₂×D₄	semidirect
486. C₂²×#120	C₂×D₄	semidirect
487. C₂²×#120	C₂×D₄	semidirect
488. C₂²×#120	C₂×D₄	semidirect
489. C₂²×#120	C₂×D₄	semidirect
490. C₂²×#120	C₂×D₄	semidirect
491. C₂²×#120	C₂×D₄	semidirect
492. C₂²×#120	C₂×D₄	semidirect
493. C₂²×#120	C₂×D₄	semidirect
494. C₂²×#120	C₂×D₄	semidirect
495. C₂²×#120	C₂×D₄	semidirect
496. C₂²×#120	C₂×D₄	semidirect
503. C₂×#518	C₂⁴	semidirect
504. C₂²×#117	C₂×D₄	semidirect
505. C₂²×#117	C₂×D₄	semidirect
506. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
507. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
508. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
509. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
510. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
511. #2842	C₂⁴	semidirect
512. #2842	C₂⁴	semidirect
513. #2842	C₂⁴	semidirect
514. #2840	C₂⁴	semidirect
515. #2483	C₂⁴	semidirect
516. #2406	C₂×D₄	semidirect
517. #2406	C₂×D₄	semidirect
518. #2406	C₂×D₄	semidirect
519. #2406	C₂×D₄	semidirect
521. #2405	C₂×D₄	semidirect
522. #2405	C₂×D₄	semidirect
523. #2405	C₂×D₄	semidirect
524. #2405	C₂×D₄	semidirect
525. #2405	C₂×D₄	semidirect
526. #2405	C₂×D₄	semidirect
527. #2405	C₂×D₄	semidirect
538. #2405	C₂⁴	semidirect
539. #2405	C₂⁴	semidirect
540. #2405	C₂⁴	semidirect
541. #2405	C₂⁴	semidirect
542. #2405	C₂⁴	semidirect
543. #2405	C₂⁴	semidirect
548. #2404	C₂×D₄	semidirect
549. #2404	C₂×D₄	semidirect
550. #2404	C₂×D₄	semidirect
551. #2404	C₂×D₄	semidirect
552. #2404	C₂×D₄	semidirect
553. #2404	C₂×D₄	semidirect
554. #2404	C₂×D₄	semidirect
555. #2404	C₂×D₄	semidirect
559. #2403	C₂×D₄	semidirect
560. #2403	C₂×D₄	semidirect
561. #2403	C₂×D₄	semidirect
562. #2403	C₂×D₄	semidirect
563. #2403	C₂×D₄	semidirect
564. #2403	C₂×D₄	semidirect
565. #2403	C₂×D₄	semidirect
566. #2403	C₂×D₄	semidirect
567. #2403	C₂×D₄	semidirect
588. #2403	C₂⁴	semidirect
589. #2403	C₂⁴	semidirect
590. #2403	C₂⁴	semidirect
591. #2403	C₂⁴	semidirect
592. #2403	C₂⁴	semidirect
593. #2312	C₂⁴	semidirect
594. #2312	C₂⁴	semidirect
595. #2312	C₂⁴	semidirect
596. #2312	C₂⁴	semidirect
597. #2311	C₂×D₄	semidirect
598. #2311	C₂×D₄	semidirect
599. #2309	C₂×D₄	semidirect
600. #2309	C₂×D₄	semidirect
606. #2309	C₂⁴	semidirect
607. #2309	C₂⁴	semidirect
608. #2309	C₂⁴	semidirect
609. #2309	C₂⁴	semidirect
614. #2308	C₂×D₄	semidirect
615. #2308	C₂×D₄	semidirect
616. #2308	C₂×D₄	semidirect
617. #2308	C₂×D₄	semidirect
618. #2308	C₂×D₄	semidirect
619. #2308	C₂×D₄	semidirect
620. #2308	C₂×D₄	semidirect
621. #2308	C₂×D₄	semidirect
622. #2308	C₂×D₄	semidirect
623. #2308	C₂×D₄	semidirect
624. #2308	C₂×D₄	semidirect
625. #2308	C₂×D₄	semidirect
626. #2308	C₂×D₄	semidirect
627. #2308	C₂×D₄	semidirect
638. #2308	C₂⁴	semidirect
639. #2308	C₂⁴	semidirect
640. #2308	C₂⁴	semidirect
641. #2308	C₂⁴	semidirect
642. #2297	C₂×D₄	semidirect
643. #2297	C₂×D₄	semidirect
644. #2297	C₂×D₄	semidirect
645. #2297	C₂×D₄	semidirect
647. C₂×#386	C₂×D₄	semidirect
648. C₂×#386	C₂×D₄	semidirect
649. C₂×#386	C₂×D₄	semidirect
650. C₂×#381	C₂×D₄	semidirect
651. C₂×#381	C₂×D₄	semidirect
652. C₂×#379	C₂×D₄	semidirect
659. #1819	C₂⁴	semidirect
660. #1819	C₂⁴	semidirect
679. #1781	C₂⁴	semidirect
680. #1781	C₂⁴	semidirect
681. #1781	C₂⁴	semidirect
682. #1781	C₂⁴	semidirect
683. #1304	C₂⁴	semidirect
684. #1304	C₂⁴	semidirect
685. #1304	C₂⁴	semidirect
686. #1304	C₂⁴	semidirect
687. #1304	C₂⁴	semidirect
688. #1304	C₂⁴	semidirect
697. C₂⁶	C₂²×D₄	semidirect
725. C₂³×Q₈	C₂²×D₄	semidirect
777. C₂³×D₄	C₂²×D₄	semidirect
778. C₂³×D₄	C₂²×D₄	semidirect
779. C₂³×D₄	C₂²×D₄	semidirect
780. C₂³×D₄	C₂²×D₄	semidirect
800. C₂⁴×C₄	C₂²×D₄	semidirect
801. C₂⁴×C₄	C₂²×D₄	semidirect
802. C₂⁴×C₄	C₂²×D₄	semidirect
808. C₂×#123	C₂²×D₄	semidirect
809. C₂×#123	C₂²×D₄	semidirect
810. C₂×#123	C₂²×D₄	semidirect
811. C₂×#123	C₂²×D₄	semidirect
824. C₂×#120	C₂²×D₄	semidirect
825. C₂×#120	C₂²×D₄	semidirect
826. C₂×#120	C₂²×D₄	semidirect
827. C₂×#120	C₂²×D₄	semidirect
828. C₂×#117	C₂²×D₄	semidirect
829. C₂×#117	C₂²×D₄	semidirect
830. C₂×#117	C₂²×D₄	semidirect
831. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
832. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
833. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
851. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
852. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
853. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
854. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
855. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
856. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
857. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
858. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
859. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
862. C₂²×C₄²	C₂²×D₄	semidirect
863. C₂²×C₄²	C₂²×D₄	semidirect
880. #386	C₂²×D₄	semidirect
881. #386	C₂²×D₄	semidirect
882. #386	C₂²×D₄	semidirect
883. #386	C₂²×D₄	semidirect
884. #386	C₂²×D₄	semidirect
885. #386	C₂²×D₄	semidirect
886. #386	C₂²×D₄	semidirect
887. #386	C₂²×D₄	semidirect
891. #381	C₂²×D₄	semidirect
892. #381	C₂²×D₄	semidirect
893. #381	C₂²×D₄	semidirect
897. #379	C₂²×D₄	semidirect
898. #379	C₂²×D₄	semidirect
899. #379	C₂²×D₄	semidirect
943. C₂²×D₄	B(4,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
#72341833	2
#72340437	2
#72340431	2
#72340347	2
#72340216	2
#72338894	2
#72311890	2
#72311058	2
#72284823	2
#72284724	2
#72261209	2
#72258067	2
#72258061	2
C₂×#213854	2
#72240631	2
#72240597	2
#72240110	2
#72237496	2
C₂×#6628896	2
#72234418	2
#72233435	2
#72233065	2
#72210439	2