Subgroups — #72262425

Order 2048.

At least 13072 conjugacy classes of subgroups; only the 5162 normal subgroups are shown.

The subgroup lattice has 1041 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72262419	C₂	1	2	yes	maximal, complemented
2	#72262417	C₂	1	4	yes	maximal, complemented
3	#72262414	C₂	1	2	yes	maximal, complemented
4	#72262413	C₂	1	2	yes	maximal, complemented
5	#72262412	C₂	1	2	yes	maximal, complemented
6	#72262180	C₂	1	4	yes	maximal, complemented
7	#72256627	C₂	1	2	yes	maximal, complemented
8	#72256378	C₂	1	8	yes	maximal, complemented
9	#72252021	C₂	1	1	yes	maximal, characteristic, complemented
10	#72251874	C₂	1	4	yes	maximal, complemented
11	C₂²×#60388	C₂	1	1	yes	maximal, characteristic, complemented
12	#72249456	C₂	1	4	yes	maximal, complemented
13	#72240218	C₂	1	2	yes	maximal, complemented
14	#72235270	C₂	1	8	yes	maximal, complemented
15	#72234696	C₂	1	4	yes	maximal, complemented
16	#72234448	C₂	1	1	yes	maximal, characteristic, complemented
17	#72234146	C₂	1	4	yes	maximal, complemented
18	C₂×#499843	C₂	1	4	yes	maximal, complemented
19	C₂×#7622880	C₂	1	2	yes	maximal, complemented
20	#72233689	C₂	1	2	yes	maximal, complemented
21	C₂²×H(7,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
22	C₂×#63011	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#3498	C₂²	1	1	yes	characteristic
24	C₂×#60399	C₂²	1	4	yes	complemented
25	C₂×#60388	C₂²	1	2	yes	—
26	C₂×#60388	C₂²	1	2	yes	complemented
27	C₂×#60388	C₂²	1	2	yes	complemented
28	C₂×#60388	C₂²	1	4	yes	complemented
29	C₂×#60388	C₂²	1	4	yes	complemented
30	C₂×#60388	C₂²	1	2	yes	complemented
31	C₂²×#3018	C₂²	1	2	yes	complemented
32	C₂²×#3021	C₂²	1	2	yes	complemented
33	C₂²×#3019	C₂²	1	4	yes	complemented
34	C₂³×#453	C₂²	1	4	yes	complemented
35	C₂²×#2888	C₂²	1	1	yes	characteristic, complemented
36	#7846449	C₂²	1	2	yes	complemented
37	#7829341	C₂²	1	4	yes	complemented
38	#7779441	C₂²	1	2	yes	complemented
39	#7772009	C₂²	1	4	yes	complemented
40	#7739389	C₂²	1	1	yes	characteristic, complemented
41	#7739384	C₂²	1	1	yes	characteristic, complemented
42	#7737412	C₂²	1	2	yes	complemented
43	#7737411	C₂²	1	2	yes	complemented
44	#7711906	C₂²	1	1	yes	characteristic, complemented
45	#7711201	C₂²	1	2	yes	complemented
46	#7666965	C₂²	1	1	yes	characteristic, complemented
47	C₂×#59126	C₂²	1	2	yes	complemented
48	#7659296	C₂²	1	2	yes	complemented
49	#7631286	C₂²	1	2	yes	—
50	#7627298	C₂²	1	1	yes	characteristic, complemented
51	C₂×#33559	C₂²	1	4	yes	complemented
52	C₂×#33557	C₂²	1	8	yes	complemented
53	C₂×#33553	C₂²	1	8	yes	complemented
54	C₂×#33551	C₂²	1	16	yes	complemented
55	C₂×#33546	C₂²	1	4	yes	complemented
56	C₂²×#2196	C₂²	1	8	yes	complemented
57	C₂×#33359	C₂²	1	2	yes	complemented
58	C₂×#33359	C₂²	1	2	yes	complemented
59	C₂×#33348	C₂²	1	4	yes	complemented
60	#6628901	C₂²	1	4	yes	complemented
61	#6628900	C₂²	1	8	yes	complemented
62	#6628898	C₂²	1	4	yes	complemented
63	#6628896	C₂²	1	8	yes	complemented
64	#6628894	C₂²	1	4	yes	complemented
65	#6628892	C₂²	1	8	yes	complemented
66	#6628891	C₂²	1	4	yes	complemented
67	C₂×#32898	C₂²	1	8	yes	complemented
68	#6370735	C₂²	1	4	yes	complemented
69	#6370693	C₂²	1	2	yes	complemented
70	#499852	C₂²	1	8	yes	complemented
71	#499851	C₂²	1	8	yes	complemented
72	#499849	C₂²	1	16	yes	complemented
73	#499849	C₂²	1	16	yes	complemented
74	#499848	C₂²	1	8	yes	complemented
75	#499847	C₂²	1	8	yes	complemented
76	#499846	C₂²	1	4	yes	complemented
77	#499845	C₂²	1	4	yes	complemented
78	#499845	C₂²	1	8	yes	complemented
79	#499844	C₂²	1	8	yes	complemented
80	#499844	C₂²	1	4	yes	complemented
81	#499843	C₂²	1	4	yes	complemented
82	#499843	C₂²	1	16	yes	complemented
83	#499843	C₂²	1	8	yes	complemented
84	#499843	C₂²	1	8	yes	complemented
85	#499843	C₂²	1	8	yes	complemented
86	#499843	C₂²	1	8	yes	complemented
87	#499843	C₂²	1	16	yes	complemented
88	#499839	C₂²	1	16	yes	complemented
89	#499838	C₂²	1	16	yes	complemented
90	#499837	C₂²	1	16	yes	complemented
91	#499835	C₂²	1	16	yes	complemented
92	#499832	C₂²	1	16	yes	complemented
93	#499831	C₂²	1	16	yes	complemented
94	#498932	C₂²	1	8	yes	complemented
95	#498931	C₂²	1	16	yes	complemented
96	#498929	C₂²	1	8	yes	complemented
97	#498927	C₂²	1	16	yes	complemented
98	#498925	C₂²	1	8	yes	complemented
99	#498923	C₂²	1	16	yes	complemented
100	#498922	C₂²	1	8	yes	complemented
101	C₂×#13346	C₂²	1	16	yes	complemented
102	#494687	C₂²	1	4	yes	complemented
103	#494685	C₂²	1	8	yes	complemented
104	#494683	C₂²	1	4	yes	complemented
105	#494682	C₂²	1	8	yes	complemented
106	#494680	C₂²	1	4	yes	complemented
107	#494677	C₂²	1	8	yes	complemented
108	#494676	C₂²	1	4	yes	complemented
109	C₂×#13082	C₂²	1	8	yes	complemented
110	#494601	C₂²	1	8	yes	complemented
111	#494600	C₂²	1	16	yes	complemented
112	#494598	C₂²	1	4	yes	complemented
113	#494596	C₂²	1	8	yes	complemented
114	#494592	C₂²	1	4	yes	complemented
115	C₂×#13047	C₂²	1	8	yes	complemented
116	#493431	C₂²	1	2	yes	complemented
117	#493431	C₂²	1	2	yes	complemented
118	#493430	C₂²	1	4	yes	complemented
119	#493430	C₂²	1	4	yes	complemented
120	#493372	C₂²	1	2	yes	complemented
121	#493370	C₂²	1	4	yes	complemented
122	#493365	C₂²	1	2	yes	complemented
123	C₂×#12693	C₂²	1	4	yes	complemented
124	#492887	C₂²	1	4	yes	complemented
125	C₂×H(7,𝔽₂)	C₂³	1	2	yes	—
126	C₂×H(7,𝔽₂)	C₂³	1	4	yes	complemented
127	C₂×H(7,𝔽₂)	C₂³	1	2	yes	complemented
128	C₂²×#585	C₂³	1	2	yes	complemented
129	C₂³×H(5,𝔽₂)	D₄	1	1	yes	characteristic, complemented
130	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
131	C₂³×H(5,𝔽₂)	C₂³	1	4	yes	complemented
132	C₂×#3498	D₄	1	1	yes	characteristic, complemented
133	C₂×#3498	D₄	1	1	yes	characteristic, complemented
134	C₂×#3498	D₄	1	1	yes	characteristic, complemented
135	C₂×#3498	D₄	1	1	yes	characteristic, complemented
136	C₂×#3498	D₄	1	2	yes	complemented
137	C₂×#3498	D₄	1	2	yes	complemented
138	C₂×#3498	C₂³	1	1	yes	characteristic
139	C₂×#3498	C₂³	1	1	yes	characteristic
140	C₂×#3498	C₂³	1	1	yes	characteristic
141	C₂×#3498	C₂³	1	2	yes	—
142	C₂×#3498	C₂³	1	2	yes	—
143	C₂×#3498	C₂³	1	1	yes	characteristic
144	C₂×#3484	D₄	1	2	yes	complemented
145	C₂×#3484	C₂³	1	2	yes	—
146	C₂×#3549	C₂³	1	1	yes	characteristic, complemented
147	C₂×#3543	C₂³	1	2	yes	complemented
148	C₂×#3537	C₂³	1	2	yes	complemented
149	C₂×#3532	C₂³	1	4	yes	complemented
150	C₂×#3481	C₂³	1	1	yes	characteristic, complemented
151	C₂²×D₄²	D₄	1	2	yes	complemented
152	C₂²×D₄²	C₂³	1	2	yes	complemented
153	C₂²×#535	D₄	1	1	yes	characteristic, complemented
154	C₂²×#535	D₄	1	2	yes	complemented
155	C₂²×#535	C₂³	1	1	yes	characteristic
156	C₂²×#535	C₂³	1	2	yes	—
157	C₂²×#532	D₄	1	2	yes	complemented
158	C₂²×#532	C₂³	1	1	yes	characteristic
159	C₂³×#127	D₄	1	1	yes	characteristic, complemented
160	C₂³×#127	C₂³	1	2	yes	—
161	C₂²×C₄×#41	D₄	1	1	yes	characteristic, complemented
162	C₂×#3027	C₂³	1	8	yes	complemented
163	C₂×#3026	C₂³	1	16	yes	complemented
164	C₂×#3025	C₂³	1	8	yes	complemented
165	C₂²×B(4,𝔽₂)	C₂³	1	16	yes	complemented
166	#60388	D₄	1	32	yes	complemented
167	C₂×#3021	C₂³	1	4	yes	—
168	C₂×#3021	C₂³	1	8	yes	complemented
169	C₂×#3021	C₂³	1	4	yes	complemented
170	C₂×#3019	C₂³	1	8	yes	—
171	C₂×#3019	C₂³	1	8	yes	complemented
172	C₂×#3019	C₂³	1	8	yes	complemented
173	C₂×#3019	C₂³	1	8	yes	complemented
174	C₂×#3018	C₂³	1	4	yes	—
175	C₂×#3018	C₂³	1	4	yes	—
176	C₂×#3018	C₂³	1	4	yes	complemented
177	C₂×#3018	C₂³	1	4	yes	complemented
178	C₂²×#455	C₂³	1	4	yes	complemented
179	C₂²×#453	C₂³	1	4	yes	—
180	C₂²×#453	C₂³	1	8	yes	—
181	C₂²×#453	C₂³	1	8	yes	—
182	C₂²×#453	C₂³	1	8	yes	complemented
183	C₂²×#453	C₂³	1	8	yes	complemented
184	C₂²×#453	C₂³	1	8	yes	complemented
185	C₂×#2888	C₂³	1	2	yes	—
186	C₂×#2888	C₂³	1	4	yes	complemented
187	C₂×#2888	C₂³	1	2	yes	complemented
188	C₂²×#413	C₂³	1	2	yes	complemented
189	C₂³×#100	C₂³	1	4	yes	complemented
190	C₂×#2883	C₂³	1	4	yes	—
191	#59184	C₂³	1	2	yes	complemented
192	#59162	C₂³	1	2	yes	complemented
193	#59143	C₂³	1	1	yes	characteristic, complemented
194	#59143	C₂³	1	2	yes	complemented
195	#59126	C₂³	1	1	yes	characteristic, complemented
196	#59126	C₂³	1	4	yes	complemented
197	#59126	C₂³	1	2	yes	complemented
198	#59126	C₂³	1	2	yes	complemented
199	#59126	C₂³	1	4	yes	complemented
200	#59126	C₂³	1	2	yes	complemented
201	#59126	C₂³	1	2	yes	complemented
202	#59070	C₂³	1	1	yes	characteristic, complemented
203	#59041	C₂³	1	1	yes	characteristic, complemented
204	#59041	C₂³	1	2	yes	complemented
205	#52165	C₂³	1	2	yes	complemented
206	C₂×#2669	C₂³	1	4	yes	complemented
207	#52013	C₂³	1	4	yes	complemented
208	#52012	C₂³	1	4	yes	complemented
209	#52004	C₂³	1	4	yes	complemented
210	#52004	C₂³	1	4	yes	complemented
211	#51902	C₂³	1	4	yes	complemented
212	#51895	C₂³	1	4	yes	complemented
213	#46324	C₂³	1	4	yes	complemented
214	#46324	C₂³	1	4	yes	complemented
215	#46225	C₂³	1	2	yes	complemented
216	#45977	C₂³	1	2	yes	complemented
217	#37297	C₂³	1	2	yes	complemented
218	#37273	C₂³	1	2	yes	complemented
219	#37269	C₂³	1	2	yes	complemented
220	#37232	C₂³	1	4	yes	complemented
221	#36737	C₂³	1	4	yes	complemented
222	#36702	C₂³	1	4	yes	complemented
223	#35527	D₄	1	2	yes	complemented
224	#35527	C₂³	1	2	yes	—
225	#35512	D₄	1	2	yes	complemented
226	#35512	C₂³	1	2	yes	—
227	#35347	D₄	1	4	yes	complemented
228	#35347	C₂³	1	4	yes	—
229	#35346	D₄	1	4	yes	complemented
230	#35346	C₂³	1	4	yes	—
231	#35250	D₄	1	2	yes	complemented
232	#35250	C₂³	1	2	yes	—
233	#34980	D₄	1	4	yes	complemented
234	#34980	C₂³	1	4	yes	—
235	#34736	D₄	1	2	yes	complemented
236	#34736	C₂³	1	2	yes	—
237	C₂×#2403	D₄	1	4	yes	complemented
238	C₂×#2403	C₂³	1	4	yes	—
239	#34411	C₂³	1	2	yes	complemented
240	#34406	C₂³	1	4	yes	complemented
241	#34368	C₂³	1	1	yes	characteristic, complemented
242	#34364	C₂³	1	2	yes	complemented
243	#34256	D₄	1	2	yes	complemented
244	#34256	C₂³	1	2	yes	—
245	#34171	D₄	1	2	yes	complemented
246	#34155	C₂³	1	1	yes	characteristic, complemented
247	C₂×#2366	C₂³	1	2	yes	complemented
248	C₂×#2200	C₂³	1	32	yes	complemented
249	C₂×#2199	C₂³	1	16	yes	complemented
250	C₂×#2198	C₂³	1	8	yes	complemented
251	C₂×#2197	C₂³	1	16	yes	complemented
252	C₂×#2196	C₂³	1	32	yes	complemented
253	C₂×#2196	C₂³	1	8	yes	complemented
254	C₂×#2196	C₂³	1	16	yes	complemented
255	C₂×#2128	C₂³	1	4	yes	complemented
256	C₂×#2128	C₂³	1	4	yes	complemented
257	C₂×#2127	C₂³	1	8	yes	complemented
258	C₂×#2127	C₂³	1	8	yes	complemented
259	C₂×#2126	C₂³	1	4	yes	complemented
260	C₂×#2126	C₂³	1	4	yes	complemented
261	C₂²×#353	C₂³	1	8	yes	complemented
262	C₂²×#353	C₂³	1	8	yes	complemented
263	C₂×#2122	C₂³	1	8	yes	complemented
264	C₂×#2121	C₂³	1	16	yes	complemented
265	C₂×#2120	C₂³	1	8	yes	complemented
266	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	16	yes	complemented
267	#32901	C₂³	1	8	yes	complemented
268	#32900	C₂³	1	8	yes	complemented
269	#32900	C₂³	1	16	yes	complemented
270	#32899	C₂³	1	8	yes	complemented
271	#32899	C₂³	1	16	yes	complemented
272	#32898	C₂³	1	8	yes	—
273	#32898	C₂³	1	16	yes	complemented
274	#32898	C₂³	1	16	yes	complemented
275	#32898	C₂³	1	16	yes	complemented
276	#32898	C₂³	1	16	yes	complemented
277	#20610	C₂³	1	8	yes	complemented
278	#20609	C₂³	1	16	yes	complemented
279	#20608	C₂³	1	8	yes	complemented
280	C₂×#1790	C₂³	1	16	yes	complemented
281	#20586	C₂³	1	4	yes	complemented
282	#20585	C₂³	1	8	yes	complemented
283	#20584	C₂³	1	4	yes	complemented
284	C₂×#1781	C₂³	1	8	yes	complemented
285	#13349	C₂³	1	16	yes	complemented
286	#13348	C₂³	1	16	yes	complemented
287	#13348	C₂³	1	32	yes	complemented
288	#13347	C₂³	1	32	yes	complemented
289	#13347	C₂³	1	16	yes	complemented
290	#13346	C₂³	1	32	yes	complemented
291	#13346	C₂³	1	32	yes	complemented
292	#13346	C₂³	1	32	yes	complemented
293	#13346	C₂³	1	16	yes	complemented
294	#13346	C₂³	1	32	yes	complemented
295	#13083	C₂³	1	8	yes	complemented
296	#13083	C₂³	1	16	yes	complemented
297	#13082	C₂³	1	8	yes	complemented
298	#13082	C₂³	1	16	yes	complemented
299	#13082	C₂³	1	16	yes	complemented
300	#13082	C₂³	1	16	yes	complemented
301	#13082	C₂³	1	16	yes	complemented
302	#13081	C₂³	1	8	yes	complemented
303	#13080	C₂³	1	8	yes	complemented
304	#13080	C₂³	1	16	yes	complemented
305	#13050	C₂³	1	16	yes	complemented
306	#13049	C₂³	1	32	yes	complemented
307	#13048	C₂³	1	16	yes	complemented
308	#13047	C₂³	1	8	yes	complemented
309	#13047	C₂³	1	8	yes	complemented
310	#13047	C₂³	1	16	yes	complemented
311	#13047	C₂³	1	32	yes	complemented
312	#12697	C₂³	1	8	yes	complemented
313	#12696	C₂³	1	8	yes	complemented
314	#12696	C₂³	1	8	yes	complemented
315	#12695	C₂³	1	4	yes	complemented
316	#12695	C₂³	1	4	yes	complemented
317	#12694	C₂³	1	4	yes	complemented
318	#12693	C₂³	1	4	yes	complemented
319	#12693	C₂³	1	8	yes	complemented
320	#12693	C₂³	1	8	yes	complemented
321	#12693	C₂³	1	8	yes	complemented
322	#12575	C₂³	1	8	yes	complemented
323	#12574	C₂³	1	16	yes	complemented
324	#12573	C₂³	1	8	yes	complemented
325	C₂×#1390	C₂³	1	16	yes	complemented
326	H(7,𝔽₂)	C₂×D₄	1	16	yes	complemented
327	C₂×#585	C₂⁴	1	4	yes	—
328	C₂×#585	C₂⁴	1	4	yes	—
329	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
330	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
331	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
332	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
333	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
334	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
335	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
336	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
337	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	complemented
338	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	complemented
339	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
340	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
341	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
342	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
343	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
344	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
345	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
346	C₂²×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
347	C₂³×#41	C₂×D₄	1	2	yes	—
348	C₂³×#41	C₂×D₄	1	2	yes	—
349	C₂³×#41	C₂×D₄	1	1	yes	characteristic
350	C₂³×#41	C₂×D₄	1	2	yes	complemented
351	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
352	C₂³×#41	C₂⁴	1	1	yes	characteristic
353	C₂⁴×D₄	C₂×D₄	1	4	yes	—
354	C₂⁴×D₄	C₂×D₄	1	2	yes	—
355	C₂⁴×D₄	C₂×D₄	1	2	yes	—
356	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
357	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
358	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
359	C₂⁴×D₄	C₂×D₄	1	4	yes	complemented
360	C₂⁴×D₄	C₂⁴	1	2	yes	—
361	C₂×H(3,𝔽₄)	C₂⁴	1	2	yes	complemented
362	C₂×#560	C₂⁴	1	4	yes	complemented
363	#3498	C₂×D₄	1	16	yes	—
364	C₂×#559	C₂⁴	1	1	yes	characteristic, complemented
365	C₂×#551	C₂⁴	1	2	yes	complemented
366	C₂×D₄²	C₂⁴	1	4	yes	complemented
367	C₂×D₄²	C₂⁴	1	2	yes	complemented
368	C₂×D₄²	C₂⁴	1	1	yes	characteristic, complemented
369	C₂×#535	C₂×D₄	1	1	yes	characteristic
370	C₂×#535	C₂×D₄	1	2	yes	—
371	C₂×#535	C₂×D₄	1	1	yes	characteristic
372	C₂×#535	C₂×D₄	1	2	yes	—
373	C₂×#535	C₂×D₄	1	2	yes	—
374	C₂×#535	C₂×D₄	1	2	yes	complemented
375	C₂×#535	C₂×D₄	1	2	yes	complemented
376	C₂×#535	C₂×D₄	1	2	yes	complemented
377	C₂×#535	C₂×D₄	1	2	yes	complemented
378	C₂×#535	C₂×D₄	1	2	yes	complemented
379	C₂×#535	C₂×D₄	1	2	yes	complemented
380	C₂×#535	C₂×D₄	1	2	yes	complemented
381	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
382	C₂×#535	C₂×D₄	1	2	yes	complemented
383	C₂×#535	C₂×D₄	1	2	yes	complemented
384	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
385	C₂×#535	C₂×D₄	1	2	yes	complemented
386	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
387	C₂×#535	C₂×D₄	1	2	yes	complemented
388	C₂×#535	C₂×D₄	1	2	yes	complemented
389	C₂×#535	C₂×D₄	1	2	yes	complemented
390	C₂×#535	C₂×D₄	1	1	yes	characteristic, complemented
391	C₂×#535	C₂×D₄	1	2	yes	complemented
392	C₂×#535	C₂×D₄	1	2	yes	complemented
393	C₂×#535	C₂⁴	1	1	yes	characteristic
394	C₂×#535	C₂⁴	1	2	yes	—
395	C₂×#535	C₂⁴	1	1	yes	characteristic
396	C₂×#535	C₂⁴	1	2	yes	—
397	C₂×#535	C₂⁴	1	2	yes	—
398	C₂×#535	C₂⁴	1	2	yes	—
399	C₂×#535	C₂⁴	1	2	yes	—
400	C₂×#535	C₂⁴	1	2	yes	—
401	C₂×#534	C₂×D₄	1	4	yes	—
402	C₂×#534	C₂×D₄	1	4	yes	complemented
403	C₂×#534	C₂×D₄	1	4	yes	complemented
404	C₂×#534	C₂⁴	1	4	yes	—
405	C₂×#532	C₂×D₄	1	2	yes	—
406	C₂×#532	C₂×D₄	1	2	yes	—
407	C₂×#532	C₂×D₄	1	1	yes	characteristic, complemented
408	C₂×#532	C₂×D₄	1	1	yes	characteristic, complemented
409	C₂×#532	C₂×D₄	1	1	yes	characteristic, complemented
410	C₂×#532	C₂×D₄	1	1	yes	characteristic, complemented
411	C₂×#532	C₂×D₄	1	2	yes	complemented
412	C₂×#532	C₂×D₄	1	2	yes	complemented
413	C₂×#532	C₂×D₄	1	2	yes	complemented
414	C₂×#532	C₂×D₄	1	2	yes	complemented
415	C₂×#532	C₂×D₄	1	2	yes	complemented
416	C₂×#532	C₂×D₄	1	2	yes	complemented
417	C₂×#532	C₂⁴	1	1	yes	characteristic
418	C₂×#532	C₂⁴	1	1	yes	characteristic
419	C₂×#532	C₂⁴	1	1	yes	characteristic
420	C₂×#532	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
422	C₂²×#127	C₂×D₄	1	1	yes	characteristic
423	C₂²×#127	C₂×D₄	1	1	yes	characteristic
424	C₂²×#127	C₂×D₄	1	2	yes	complemented
425	C₂²×#127	C₂×D₄	1	2	yes	complemented
426	C₂²×#127	C₂×D₄	1	2	yes	complemented
427	C₂²×#127	C₂×D₄	1	2	yes	complemented
428	C₂²×#127	C₂×D₄	1	2	yes	complemented
429	C₂²×#127	C₂×D₄	1	2	yes	complemented
430	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
431	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
432	C₂²×#127	C₂×D₄	1	2	yes	complemented
433	C₂²×#127	C₂×D₄	1	2	yes	complemented
434	C₂²×#127	C₂×D₄	1	2	yes	complemented
435	C₂²×#127	C₂×D₄	1	2	yes	complemented
436	C₂²×#127	C₂⁴	1	2	yes	—
437	C₂²×#127	C₂⁴	1	2	yes	—
438	C₂²×#127	C₂⁴	1	1	yes	characteristic
439	C₂²×#127	C₂⁴	1	2	yes	—
440	C₂²×#127	C₂⁴	1	2	yes	—
441	C₂²×#127	C₂⁴	1	2	yes	—
442	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
443	C₂²×#124	C₂×D₄	1	2	yes	complemented
444	C₂²×#124	C₂×D₄	1	2	yes	complemented
445	C₂²×#124	C₂⁴	1	1	yes	characteristic
446	C₂×#525	C₂×D₄	1	2	yes	—
447	C₂×#525	C₂×D₄	1	2	yes	complemented
448	C₂×#525	C₂×D₄	1	2	yes	complemented
449	C₂×#525	C₂⁴	1	2	yes	—
450	C₂²×#121	C₂×D₄	1	4	yes	complemented
451	C₂²×#121	C₂×D₄	1	2	yes	complemented
452	C₂²×#121	C₂×D₄	1	2	yes	complemented
453	C₂²×#120	C₂×D₄	1	4	yes	—
454	C₂²×#120	C₂×D₄	1	4	yes	complemented
455	C₂²×#120	C₂×D₄	1	4	yes	complemented
456	C₂²×#120	C₂×D₄	1	4	yes	complemented
457	C₂²×#120	C₂×D₄	1	4	yes	complemented
458	C₂²×#120	C₂⁴	1	4	yes	—
459	C₂×#518	C₂×D₄	1	2	yes	—
460	C₂×#518	C₂×D₄	1	2	yes	—
461	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
462	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
463	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
464	C₂×C₄×#41	C₂×D₄	1	2	yes	complemented
465	C₂×C₄×#41	C₂×D₄	1	2	yes	complemented
466	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic, complemented
467	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
468	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
469	C₂²×#117	C₂×D₄	1	1	yes	characteristic, complemented
470	C₂²×#117	C₂×D₄	1	2	yes	complemented
471	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
472	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic, complemented
473	C₂×#458	C₂⁴	1	16	yes	—
474	C₂×B(4,𝔽₂)	C₂⁴	1	16	yes	—
475	C₂×B(4,𝔽₂)	C₂⁴	1	32	yes	—
476	#3021	C₂×D₄	1	32	yes	complemented
477	#3019	C₂×D₄	1	64	yes	complemented
478	#3018	C₂×D₄	1	32	yes	complemented
479	C₂×#455	C₂⁴	1	8	yes	—
480	C₂×#455	C₂⁴	1	8	yes	—
481	C₂×#453	C₂×D₄	1	64	yes	complemented
482	C₂×#453	C₂⁴	1	8	yes	—
483	C₂×#453	C₂⁴	1	16	yes	—
484	C₂×#453	C₂⁴	1	8	yes	—
485	C₂×#453	C₂⁴	1	16	yes	—
486	#2888	C₂×D₄	1	16	yes	complemented
487	C₂×#413	C₂⁴	1	4	yes	—
488	C₂×#413	C₂⁴	1	4	yes	—
489	C₂²×#100	C₂⁴	1	4	yes	—
490	C₂²×#100	C₂⁴	1	8	yes	—
491	C₂²×#100	C₂⁴	1	8	yes	—
492	C₂×#410	C₂⁴	1	8	yes	—
493	C₂²×#99	C₂⁴	1	16	yes	—
494	#2717	C₂⁴	1	2	yes	complemented
495	#2709	C₂⁴	1	4	yes	complemented
496	#2709	C₂⁴	1	2	yes	complemented
497	#2684	C₂⁴	1	2	yes	complemented
498	#2684	C₂⁴	1	4	yes	complemented
499	#2669	C₂⁴	1	4	yes	complemented
500	#2669	C₂⁴	1	4	yes	complemented
501	#2669	C₂⁴	1	4	yes	complemented
502	#2669	C₂⁴	1	2	yes	complemented
503	#2669	C₂⁴	1	4	yes	complemented
504	#2406	C₂×D₄	1	4	yes	complemented
505	#2406	C₂×D₄	1	2	yes	complemented
506	#2406	C₂⁴	1	2	yes	—
507	#2405	C₂×D₄	1	4	yes	complemented
508	#2405	C₂×D₄	1	4	yes	complemented
509	#2405	C₂×D₄	1	4	yes	complemented
510	#2405	C₂×D₄	1	4	yes	complemented
511	#2405	C₂×D₄	1	2	yes	complemented
512	#2405	C₂⁴	1	4	yes	—
513	#2405	C₂⁴	1	2	yes	—
514	#2404	C₂×D₄	1	4	yes	complemented
515	#2404	C₂×D₄	1	2	yes	complemented
516	#2404	C₂×D₄	1	4	yes	complemented
517	#2404	C₂×D₄	1	4	yes	complemented
518	#2404	C₂×D₄	1	4	yes	complemented
519	#2404	C₂⁴	1	2	yes	—
520	#2404	C₂⁴	1	4	yes	—
521	#2403	C₂×D₄	1	4	yes	complemented
522	#2403	C₂×D₄	1	4	yes	complemented
523	#2403	C₂×D₄	1	4	yes	complemented
524	#2403	C₂×D₄	1	4	yes	complemented
525	#2403	C₂×D₄	1	4	yes	complemented
526	#2403	C₂×D₄	1	4	yes	complemented
527	#2403	C₂×D₄	1	4	yes	complemented
528	#2403	C₂×D₄	1	4	yes	complemented
529	#2403	C₂×D₄	1	4	yes	complemented
530	#2403	C₂×D₄	1	4	yes	complemented
531	#2403	C₂×D₄	1	4	yes	complemented
532	#2403	C₂×D₄	1	2	yes	complemented
533	#2403	C₂×D₄	1	4	yes	complemented
534	#2403	C₂×D₄	1	4	yes	complemented
535	#2403	C₂⁴	1	4	yes	—
536	#2403	C₂⁴	1	4	yes	—
537	#2403	C₂⁴	1	4	yes	—
538	#2403	C₂⁴	1	2	yes	—
539	#2403	C₂⁴	1	4	yes	—
540	#2380	C₂⁴	1	4	yes	complemented
541	#2379	C₂⁴	1	2	yes	complemented
542	#2372	C₂⁴	1	2	yes	complemented
543	#2366	C₂⁴	1	1	yes	characteristic, complemented
544	#2366	C₂⁴	1	2	yes	complemented
545	#2366	C₂⁴	1	4	yes	complemented
546	#2366	C₂⁴	1	1	yes	characteristic, complemented
547	#2311	C₂×D₄	1	2	yes	—
548	#2311	C₂×D₄	1	2	yes	complemented
549	#2311	C₂×D₄	1	2	yes	complemented
550	#2311	C₂⁴	1	2	yes	—
551	#2309	C₂×D₄	1	2	yes	complemented
552	#2309	C₂×D₄	1	2	yes	complemented
553	#2308	C₂×D₄	1	4	yes	—
554	#2308	C₂×D₄	1	4	yes	complemented
555	#2308	C₂×D₄	1	4	yes	complemented
556	#2308	C₂×D₄	1	4	yes	complemented
557	#2308	C₂×D₄	1	4	yes	complemented
558	#2308	C₂⁴	1	4	yes	—
559	#2297	C₂×D₄	1	2	yes	—
560	#2297	C₂×D₄	1	2	yes	complemented
561	#2297	C₂×D₄	1	2	yes	complemented
562	#2297	C₂⁴	1	2	yes	—
563	C₂×#386	C₂×D₄	1	4	yes	—
564	C₂×#386	C₂×D₄	1	4	yes	complemented
565	C₂×#386	C₂×D₄	1	4	yes	complemented
566	C₂×#386	C₂⁴	1	4	yes	—
567	#2280	C₂×D₄	1	2	yes	complemented
568	#2280	C₂×D₄	1	2	yes	complemented
569	C₂×#379	C₂×D₄	1	4	yes	complemented
570	C₂×#379	C₂×D₄	1	4	yes	complemented
571	C₂×#354	C₂⁴	1	8	yes	complemented
572	C₂×#354	C₂⁴	1	8	yes	complemented
573	C₂×#353	C₂⁴	1	8	yes	complemented
574	C₂×#353	C₂⁴	1	16	yes	complemented
575	C₂×#353	C₂⁴	1	8	yes	complemented
576	C₂×#353	C₂⁴	1	16	yes	complemented
577	C₂×#352	C₂⁴	1	16	yes	complemented
578	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	complemented
579	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	32	yes	complemented
580	#1790	C₂⁴	1	16	yes	—
581	#1790	C₂⁴	1	32	yes	—
582	#1790	C₂⁴	1	16	yes	—
583	#1782	C₂⁴	1	8	yes	—
584	#1781	C₂⁴	1	8	yes	—
585	#1781	C₂⁴	1	16	yes	—
586	#1390	C₂⁴	1	32	yes	complemented
587	#1390	C₂⁴	1	16	yes	complemented
588	#1390	C₂⁴	1	16	yes	complemented
589	C₂⁶	#120	1	2	yes	—
590	C₂⁶	C₂²×D₄	1	4	yes	—
591	C₂⁶	C₂²×D₄	1	4	yes	—
592	#585	C₂²×D₄	1	16	yes	complemented
593	C₂×H(5,𝔽₂)	#120	1	8	yes	complemented
594	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
595	C₂×H(5,𝔽₂)	C₂²×D₄	1	32	yes	complemented
596	C₂×H(5,𝔽₂)	H(5,𝔽₂)	1	8	yes	—
597	C₂×H(5,𝔽₂)	C₂⁵	1	8	yes	—
598	C₂²×#41	#120	1	2	yes	—
599	C₂²×#41	#120	1	1	yes	characteristic
600	C₂²×#41	#120	1	4	yes	—
601	C₂²×#41	#120	1	2	yes	—
602	C₂²×#41	#120	1	1	yes	characteristic
603	C₂²×#41	#120	1	4	yes	—
604	C₂²×#41	#120	1	4	yes	—
605	C₂²×#41	#120	1	2	yes	—
606	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
607	C₂²×#41	C₂²×D₄	1	2	yes	—
608	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
609	C₂²×#41	C₂²×D₄	1	2	yes	—
610	C₂²×#41	C₂²×D₄	1	2	yes	—
611	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
612	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
613	C₂²×#41	C₂²×D₄	1	2	yes	—
614	C₂²×#41	C₂²×D₄	1	2	yes	—
615	C₂²×#41	C₂²×D₄	1	2	yes	—
616	C₂²×#41	C₂²×D₄	1	2	yes	—
617	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
618	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
619	C₂²×#41	C₂²×D₄	1	2	yes	—
620	C₂²×#41	C₂²×D₄	1	2	yes	—
621	C₂²×#41	C₂²×D₄	1	2	yes	—
622	C₂²×#41	C₂²×D₄	1	4	yes	—
623	C₂²×#41	C₂²×D₄	1	2	yes	—
624	C₂²×#41	C₂²×D₄	1	2	yes	—
625	C₂²×#41	C₂²×D₄	1	2	yes	—
626	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
627	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
628	C₂²×#41	C₂⁵	1	1	yes	characteristic
629	C₂²×#41	C₂⁵	1	1	yes	characteristic
630	C₂³×Q₈	#120	1	1	yes	characteristic
631	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
632	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
633	C₂³×D₄	#120	1	2	yes	—
634	C₂³×D₄	#120	1	2	yes	—
635	C₂³×D₄	#120	1	4	yes	—
636	C₂³×D₄	#120	1	2	yes	—
637	C₂³×D₄	#120	1	4	yes	—
638	C₂³×D₄	#120	1	4	yes	—
639	C₂³×D₄	#120	1	2	yes	—
640	C₂³×D₄	#120	1	2	yes	—
641	C₂³×D₄	#120	1	4	yes	—
642	C₂³×D₄	#120	1	4	yes	—
643	C₂³×D₄	#120	1	2	yes	—
644	C₂³×D₄	#120	1	4	yes	—
645	C₂³×D₄	#120	1	1	yes	characteristic
646	C₂³×D₄	C₂²×D₄	1	4	yes	—
647	C₂³×D₄	C₂²×D₄	1	4	yes	—
648	C₂³×D₄	C₂²×D₄	1	2	yes	—
649	C₂³×D₄	C₂²×D₄	1	4	yes	—
650	C₂³×D₄	C₂²×D₄	1	4	yes	—
651	C₂³×D₄	C₂²×D₄	1	4	yes	—
652	C₂³×D₄	C₂²×D₄	1	4	yes	—
653	C₂³×D₄	C₂²×D₄	1	4	yes	—
654	C₂³×D₄	C₂²×D₄	1	4	yes	—
655	C₂³×D₄	C₂²×D₄	1	2	yes	—
656	C₂³×D₄	C₂²×D₄	1	2	yes	—
657	C₂³×D₄	C₂²×D₄	1	4	yes	—
658	C₂³×D₄	C₂²×D₄	1	2	yes	—
659	C₂³×D₄	C₂²×D₄	1	2	yes	—
660	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
661	C₂³×D₄	C₂²×D₄	1	2	yes	—
662	C₂³×D₄	C₂²×D₄	1	2	yes	—
663	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
664	C₂³×D₄	C₂²×D₄	1	2	yes	—
665	C₂³×D₄	C₂²×D₄	1	2	yes	—
666	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
667	C₂³×D₄	C₂²×D₄	1	2	yes	—
668	C₂³×D₄	C₂²×D₄	1	2	yes	—
669	C₂³×D₄	C₂²×D₄	1	2	yes	—
670	C₂³×D₄	C₂²×D₄	1	2	yes	—
671	C₂³×D₄	C₂²×D₄	1	2	yes	—
672	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
673	C₂³×D₄	C₂²×D₄	1	2	yes	—
674	C₂³×D₄	C₂²×D₄	1	4	yes	—
675	C₂³×D₄	C₂²×D₄	1	4	yes	—
676	C₂³×D₄	C₂²×D₄	1	4	yes	—
677	C₂³×D₄	C₂²×D₄	1	4	yes	—
678	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
679	C₂³×D₄	C₂⁵	1	1	yes	characteristic
680	C₂³×D₄	C₂⁵	1	2	yes	—
681	C₂³×D₄	C₂⁵	1	2	yes	—
682	C₂⁴×C₄	#120	1	4	yes	—
683	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
684	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
685	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
686	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
687	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
688	#535	#120	1	8	yes	complemented
689	#535	#120	1	16	yes	complemented
690	#535	C₂²×D₄	1	8	yes	—
691	#535	C₂²×D₄	1	16	yes	—
692	#532	#120	1	16	yes	complemented
693	#532	C₂²×D₄	1	8	yes	—
694	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
695	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
696	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
697	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
698	C₂×#127	#120	1	8	yes	complemented
699	C₂×#127	C₂²×D₄	1	16	yes	—
700	C₂×#127	C₂²×D₄	1	2	yes	—
701	C₂×#127	C₂²×D₄	1	2	yes	—
702	C₂×#127	C₂²×D₄	1	2	yes	—
703	C₂×#127	C₂²×D₄	1	2	yes	—
704	C₂×#127	C₂²×D₄	1	2	yes	—
705	C₂×#127	C₂²×D₄	1	2	yes	—
706	C₂×#127	C₂²×D₄	1	1	yes	characteristic
707	C₂×#127	C₂²×D₄	1	2	yes	—
708	C₂×#127	C₂²×D₄	1	2	yes	—
709	C₂×#127	C₂²×D₄	1	2	yes	—
710	C₂×#127	C₂²×D₄	1	2	yes	—
711	C₂×#127	C₂²×D₄	1	1	yes	characteristic
712	C₂×#127	C₂²×D₄	1	2	yes	—
713	C₂×#127	C₂²×D₄	1	2	yes	—
714	C₂×#127	C₂²×D₄	1	2	yes	—
715	C₂×#127	C₂²×D₄	1	2	yes	—
716	C₂×#127	C₂⁵	1	1	yes	characteristic
717	C₂×#127	C₂⁵	1	2	yes	—
718	C₂×#127	C₂⁵	1	1	yes	characteristic
719	C₂×#127	C₂⁵	1	2	yes	—
720	C₂×#124	C₂²×D₄	1	2	yes	—
721	C₂×#124	C₂²×D₄	1	2	yes	—
722	C₂×#124	C₂²×D₄	1	1	yes	characteristic
723	C₂×#124	C₂²×D₄	1	1	yes	characteristic
724	C₂×#124	C₂²×D₄	1	1	yes	characteristic
725	C₂×#124	C₂²×D₄	1	2	yes	—
726	C₂×#124	C₂²×D₄	1	2	yes	—
727	C₂×#124	C₂²×D₄	1	2	yes	—
728	C₂×#124	C₂²×D₄	1	2	yes	—
729	C₂×#124	C₂²×D₄	1	1	yes	characteristic
730	C₂×#124	C₂²×D₄	1	1	yes	characteristic
731	C₂×#124	C₂²×D₄	1	2	yes	—
732	C₂×#124	C₂²×D₄	1	2	yes	—
733	C₂×#124	C₂²×D₄	1	1	yes	characteristic
734	C₂×#124	C₂⁵	1	1	yes	characteristic
735	C₂×#124	C₂⁵	1	1	yes	characteristic
736	C₂×#123	C₂²×D₄	1	4	yes	—
737	C₂×#123	C₂²×D₄	1	2	yes	—
738	C₂×#123	C₂²×D₄	1	2	yes	—
739	C₂×#123	C₂²×D₄	1	2	yes	—
740	C₂×#123	C₂²×D₄	1	4	yes	—
741	C₂×#123	C₂⁵	1	2	yes	—
742	C₂×#120	C₂²×D₄	1	2	yes	—
743	C₂×#120	C₂²×D₄	1	4	yes	—
744	C₂×#120	C₂²×D₄	1	4	yes	—
745	C₂×#120	C₂²×D₄	1	4	yes	—
746	C₂×#120	C₂²×D₄	1	4	yes	—
747	C₂×#120	C₂²×D₄	1	2	yes	—
748	C₂×#120	C₂²×D₄	1	4	yes	—
749	C₂×#120	C₂²×D₄	1	4	yes	—
750	C₂×#120	C₂²×D₄	1	2	yes	—
751	C₂×#120	C₂²×D₄	1	4	yes	—
752	C₂×#120	C₂²×D₄	1	4	yes	—
753	C₂×#120	C₂²×D₄	1	4	yes	—
754	C₂×#120	C₂⁵	1	2	yes	—
755	C₂×#120	C₂⁵	1	4	yes	—
756	C₄×#41	#120	1	8	yes	complemented
757	C₂×#117	C₂²×D₄	1	2	yes	—
758	C₂×#117	C₂²×D₄	1	2	yes	—
759	C₂×#117	C₂²×D₄	1	2	yes	—
760	C₂×#117	C₂²×D₄	1	2	yes	—
761	C₂×#117	C₂²×D₄	1	2	yes	—
762	C₂×#117	C₂²×D₄	1	1	yes	characteristic
763	C₂×#117	C₂²×D₄	1	2	yes	—
764	C₂×#117	C₂²×D₄	1	2	yes	—
765	C₂×#117	C₂²×D₄	1	2	yes	—
766	C₂×#117	C₂²×D₄	1	2	yes	—
767	C₂×#117	C₂²×D₄	1	1	yes	characteristic
768	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
769	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
770	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
771	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
772	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
773	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
774	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
775	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
776	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
777	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
778	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
779	C₂²×C₄²	C₂²×D₄	1	2	yes	—
780	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
781	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
782	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
783	C₂²×C₄²	C₂²×D₄	1	2	yes	—
784	C₂²×C₄²	C₂²×D₄	1	2	yes	—
785	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
786	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
787	C₂²×C₄²	C₂²×D₄	1	2	yes	—
788	C₂²×C₄²	C₂²×D₄	1	2	yes	—
789	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
790	C₂²×C₄²	C₂²×D₄	1	2	yes	—
791	#455	C₂²×D₄	1	32	yes	complemented
792	#453	C₂²×D₄	1	32	yes	—
793	#453	C₂²×D₄	1	64	yes	complemented
794	#413	C₂²×D₄	1	16	yes	complemented
795	C₂×#100	C₂²×D₄	1	32	yes	complemented
796	C₂×#100	C₂⁵	1	8	yes	—
797	C₂×#99	C₂⁵	1	16	yes	—
798	#386	C₂²×D₄	1	2	yes	—
799	#386	C₂²×D₄	1	4	yes	—
800	#386	C₂²×D₄	1	4	yes	—
801	#386	C₂²×D₄	1	4	yes	—
802	#386	C₂²×D₄	1	2	yes	—
803	#386	C₂²×D₄	1	2	yes	—
804	#386	C₂²×D₄	1	4	yes	—
805	#386	C₂²×D₄	1	4	yes	—
806	#386	C₂²×D₄	1	4	yes	—
807	#386	C₂²×D₄	1	4	yes	—
808	#386	C₂²×D₄	1	4	yes	—
809	#386	C₂²×D₄	1	4	yes	—
810	#386	C₂²×D₄	1	2	yes	—
811	#386	C₂²×D₄	1	4	yes	—
812	#386	C₂²×D₄	1	2	yes	—
813	#386	C₂²×D₄	1	4	yes	—
814	#386	C₂²×D₄	1	2	yes	—
815	#386	C₂⁵	1	2	yes	—
816	#386	C₂⁵	1	4	yes	—
817	#386	C₂⁵	1	2	yes	—
818	#381	C₂²×D₄	1	2	yes	—
819	#381	C₂²×D₄	1	2	yes	—
820	#381	C₂²×D₄	1	4	yes	—
821	#379	C₂²×D₄	1	4	yes	—
822	#379	C₂²×D₄	1	4	yes	—
823	#379	C₂²×D₄	1	4	yes	—
824	#379	C₂²×D₄	1	4	yes	—
825	#379	C₂²×D₄	1	2	yes	—
826	#379	C₂²×D₄	1	4	yes	—
827	#379	C₂²×D₄	1	2	yes	—
828	C₂⁵	C₂×#120	1	1	yes	characteristic
829	C₂⁵	C₂×#120	1	4	yes	—
830	C₂⁵	C₂×#120	1	4	yes	—
831	C₂⁵	C₂×#120	1	2	yes	—
832	C₂⁵	C₂×#120	1	4	yes	—
833	C₂⁵	C₂×#120	1	4	yes	—
834	C₂⁵	C₂×#120	1	2	yes	—
835	C₂⁵	C₂×#120	1	2	yes	—
836	C₂⁵	C₂³×D₄	1	2	yes	—
837	C₂⁵	C₂³×D₄	1	4	yes	—
838	C₂⁵	C₂³×D₄	1	4	yes	—
839	C₂⁵	C₂³×D₄	1	2	yes	—
840	C₂⁵	C₂³×D₄	1	4	yes	—
841	H(5,𝔽₂)	C₂³×D₄	1	16	yes	—
842	C₂×#41	B(4,𝔽₂)	1	8	yes	—
843	C₂×#41	C₂×#120	1	8	yes	—
844	C₂×#41	C₂×#120	1	4	yes	—
845	C₂×#41	C₂×#120	1	4	yes	complemented
846	C₂×#41	C₂×#120	1	8	yes	complemented
847	C₂×#41	#534	1	8	yes	—
848	C₂×#41	#534	1	4	yes	—
849	C₂×#41	D₄²	1	16	yes	—
850	C₂×#41	C₂³×D₄	1	4	yes	—
851	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
852	C₂²×Q₈	C₂×#120	1	2	yes	—
853	C₂²×Q₈	C₂×#120	1	2	yes	—
854	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
855	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
856	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
857	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
858	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
859	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
860	C₂²×D₄	B(4,𝔽₂)	1	4	yes	—
861	C₂²×D₄	B(4,𝔽₂)	1	4	yes	—
862	C₂²×D₄	C₂×#120	1	2	yes	—
863	C₂²×D₄	C₂×#120	1	2	yes	—
864	C₂²×D₄	C₂×#120	1	4	yes	—
865	C₂²×D₄	C₂×#120	1	2	yes	—
866	C₂²×D₄	C₂×#120	1	4	yes	—
867	C₂²×D₄	C₂×#120	1	2	yes	—
868	C₂²×D₄	C₂×#120	1	4	yes	—
869	C₂²×D₄	C₂×#120	1	4	yes	—
870	C₂²×D₄	C₂×#120	1	4	yes	—
871	C₂²×D₄	C₂×#120	1	4	yes	—
872	C₂²×D₄	C₂×#120	1	4	yes	—
873	C₂²×D₄	C₂×#120	1	2	yes	—
874	C₂²×D₄	C₂×#120	1	2	yes	—
875	C₂²×D₄	C₂×#120	1	2	yes	—
876	C₂²×D₄	C₂×#120	1	2	yes	—
877	C₂²×D₄	C₂×#120	1	1	yes	characteristic
878	C₂²×D₄	C₂×#120	1	2	yes	—
879	C₂²×D₄	C₂×#120	1	4	yes	—
880	C₂²×D₄	C₂×#120	1	4	yes	—
881	C₂²×D₄	C₂×#120	1	1	yes	characteristic
882	C₂²×D₄	C₂×#120	1	8	yes	complemented
883	C₂²×D₄	C₂×#120	1	4	yes	complemented
884	C₂²×D₄	#534	1	4	yes	—
885	C₂²×D₄	D₄²	1	32	yes	—
886	C₂²×D₄	D₄²	1	16	yes	—
887	C₂²×D₄	C₂³×D₄	1	2	yes	—
888	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
889	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
890	C₂²×D₄	C₂³×D₄	1	2	yes	—
891	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
892	C₂²×D₄	C₂³×D₄	1	2	yes	—
893	C₂²×D₄	C₂³×D₄	1	2	yes	—
894	C₂²×D₄	C₂³×D₄	1	2	yes	—
895	C₂²×D₄	C₂³×D₄	1	4	yes	—
896	C₂²×D₄	C₂³×D₄	1	2	yes	—
897	C₂²×D₄	C₂³×D₄	1	8	yes	—
898	C₂²×D₄	C₂³×D₄	1	2	yes	—
899	C₂²×D₄	C₂³×D₄	1	4	yes	—
900	C₂²×D₄	C₂×H(5,𝔽₂)	1	8	yes	—
901	C₂²×D₄	C₂⁶	1	1	yes	characteristic
902	C₂³×C₄	C₂×#120	1	2	yes	—
903	C₂³×C₄	C₂×#120	1	1	yes	characteristic
904	C₂³×C₄	C₂×#120	1	2	yes	—
905	C₂³×C₄	C₂×#120	1	2	yes	—
906	C₂³×C₄	C₂×#120	1	2	yes	—
907	C₂³×C₄	C₂×#120	1	4	yes	—
908	C₂³×C₄	C₂×#120	1	4	yes	—
909	C₂³×C₄	C₂×#120	1	2	yes	—
910	C₂³×C₄	C₂×#120	1	2	yes	—
911	C₂³×C₄	C₂×#120	1	1	yes	characteristic
912	C₂³×C₄	C₂×#120	1	1	yes	characteristic
913	C₂³×C₄	C₂×#120	1	4	yes	—
914	C₂³×C₄	C₂×#120	1	4	yes	—
915	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
916	C₂³×C₄	C₂³×D₄	1	2	yes	—
917	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
918	C₂³×C₄	C₂³×D₄	1	2	yes	—
919	C₂³×C₄	C₂³×D₄	1	2	yes	—
920	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
921	C₂³×C₄	C₂³×D₄	1	2	yes	—
922	C₂³×C₄	C₂³×D₄	1	2	yes	—
923	C₂³×C₄	C₂³×D₄	1	2	yes	—
924	C₂³×C₄	C₂³×D₄	1	2	yes	—
925	C₂³×C₄	C₂³×D₄	1	4	yes	—
926	C₄⋊Q₈	C₂×#120	1	4	yes	complemented
927	#127	C₂×#120	1	8	yes	complemented
928	#127	C₂×#120	1	8	yes	complemented
929	#127	C₂×#120	1	8	yes	complemented
930	#127	C₂³×D₄	1	4	yes	—
931	#127	C₂³×D₄	1	8	yes	—
932	#124	C₂×#120	1	8	yes	complemented
933	#124	C₂×#120	1	8	yes	complemented
934	#124	C₂×#120	1	4	yes	complemented
935	#124	C₂³×D₄	1	4	yes	—
936	#117	C₂×#120	1	8	yes	complemented
937	#117	C₂×#120	1	4	yes	complemented
938	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
939	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
940	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
941	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
942	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
943	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
944	C₂×C₄²	C₂×#120	1	8	yes	complemented
945	C₂×C₄²	C₂×#120	1	4	yes	complemented
946	C₂×C₄²	C₂³×D₄	1	2	yes	—
947	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
948	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
949	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
950	C₂×C₄²	C₂³×D₄	1	2	yes	—
951	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
952	#100	C₂³×D₄	1	16	yes	—
953	C₂⁴	#2403	1	8	yes	—
954	C₂⁴	C₂×B(4,𝔽₂)	1	4	yes	—
955	C₂⁴	C₂×B(4,𝔽₂)	1	4	yes	—
956	C₂⁴	C₂²×#120	1	1	yes	characteristic
957	C₂⁴	C₂²×#120	1	2	yes	—
958	C₂⁴	C₂²×#120	1	4	yes	—
959	C₂⁴	C₂²×#120	1	1	yes	characteristic
960	C₂⁴	C₂²×#120	1	4	yes	—
961	C₂⁴	C₂²×#120	1	2	yes	—
962	C₂⁴	C₂²×#120	1	1	yes	characteristic
963	C₂⁴	C₂²×#120	1	2	yes	—
964	C₂⁴	C₂×D₄²	1	16	yes	—
965	C₂⁴	C₂⁴×D₄	1	2	yes	—
966	C₂×Q₈	#2403	1	4	yes	—
967	C₂×Q₈	C₂×B(4,𝔽₂)	1	4	yes	—
968	C₂×Q₈	C₂²×#120	1	2	yes	—
969	C₂×Q₈	C₂²×#120	1	2	yes	—
970	C₂×Q₈	C₂×#534	1	2	yes	—
971	C₂×D₄	#2403	1	8	yes	—
972	C₂×D₄	#2403	1	16	yes	—
973	C₂×D₄	#2403	1	8	yes	—
974	C₂×D₄	#2403	1	4	yes	—
975	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
976	C₂×D₄	C₂×B(4,𝔽₂)	1	8	yes	—
977	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
978	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
979	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
980	C₂×D₄	C₂²×#120	1	2	yes	—
981	C₂×D₄	C₂²×#120	1	4	yes	—
982	C₂×D₄	C₂²×#120	1	4	yes	—
983	C₂×D₄	C₂×#534	1	4	yes	—
984	C₂×D₄	C₂×D₄²	1	8	yes	—
985	C₂×D₄	C₂×D₄²	1	16	yes	—
986	C₂×D₄	C₂⁴×D₄	1	2	yes	—
987	C₂×D₄	C₂²×H(5,𝔽₂)	1	2	yes	—
988	C₂²×C₄	#2403	1	16	yes	—
989	C₂²×C₄	C₂×B(4,𝔽₂)	1	8	yes	—
990	C₂²×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
991	C₂²×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
992	C₂²×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
993	C₂²×C₄	C₂²×#120	1	2	yes	—
994	C₂²×C₄	C₂²×#120	1	2	yes	—
995	C₂²×C₄	C₂²×#120	1	2	yes	—
996	C₂²×C₄	C₂²×#120	1	4	yes	—
997	C₂²×C₄	C₂²×#120	1	2	yes	—
998	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
999	C₂²×C₄	C₂²×#120	1	2	yes	—
1000	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1001	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1002	C₂²×C₄	C₂×#534	1	4	yes	—
1003	C₂²×C₄	C₂×#534	1	2	yes	—
1004	C₂²×C₄	C₂×D₄²	1	8	yes	—
1005	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1006	C₄²	C₂²×#120	1	2	yes	—
1007	C₄²	C₂²×#120	1	2	yes	—
1008	C₄²	C₂²×#120	1	4	yes	—
1009	C₂³	C₂×#2403	1	2	yes	—
1010	C₂³	C₂×#2403	1	8	yes	—
1011	C₂³	C₂×#2403	1	4	yes	—
1012	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1013	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1014	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1015	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1016	C₂³	C₂²×B(4,𝔽₂)	1	2	yes	—
1017	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1018	C₂³	C₂³×#120	1	1	yes	characteristic
1019	C₂³	C₂²×D₄²	1	4	yes	—
1020	D₄	#23900	1	16	yes	—
1021	C₂×C₄	C₂×#2403	1	4	yes	—
1022	C₂×C₄	C₂×#2403	1	4	yes	—
1023	C₂×C₄	C₂×#2403	1	2	yes	—
1024	C₂×C₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1025	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1026	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1027	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1028	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1029	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1030	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1031	C₂²	C₂×#23900	1	8	yes	—
1032	C₂²	#7622880	1	2	yes	complemented
1033	C₂²	C₂²×#2403	1	1	yes	characteristic
1034	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1035	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1036	C₄	C₂×#23900	1	4	yes	—
1037	C₂	C₂²×#23900	1	1	yes	characteristic
1038	C₂	C₂×#7622880	1	1	yes	characteristic
1039	C₂	#72249654	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×B(4,𝔽₂)
commutator, Frattini, cosocle	C₂²×D₄	C₂⁶
LCS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×D₄ ◁ C₂³×H(5,𝔽₂) ◁ G
LECS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72262419	C₂	semidirect
2. #72262417	C₂	semidirect
3. #72262414	C₂	semidirect
4. #72262413	C₂	semidirect
5. #72262412	C₂	semidirect
6. #72262180	C₂	semidirect
7. #72256627	C₂	semidirect
8. #72256378	C₂	semidirect
9. #72252021	C₂	semidirect
10. #72251874	C₂	semidirect
11. C₂²×#60388	C₂	semidirect
12. #72249456	C₂	semidirect
13. #72240218	C₂	semidirect
14. #72235270	C₂	semidirect
15. #72234696	C₂	semidirect
16. #72234448	C₂	semidirect
17. #72234146	C₂	semidirect
18. C₂×#499843	C₂	semidirect
19. C₂×#7622880	C₂	semidirect
20. #72233689	C₂	semidirect
21. C₂²×H(7,𝔽₂)	C₂²	semidirect
22. C₂×#63011	C₂²	semidirect
24. C₂×#60399	C₂²	semidirect
26. C₂×#60388	C₂²	semidirect
27. C₂×#60388	C₂²	semidirect
28. C₂×#60388	C₂²	semidirect
29. C₂×#60388	C₂²	semidirect
30. C₂×#60388	C₂²	semidirect
31. C₂²×#3018	C₂²	semidirect
32. C₂²×#3021	C₂²	semidirect
33. C₂²×#3019	C₂²	semidirect
34. C₂³×#453	C₂²	semidirect
35. C₂²×#2888	C₂²	semidirect
36. #7846449	C₂²	semidirect
37. #7829341	C₂²	semidirect
38. #7779441	C₂²	semidirect
39. #7772009	C₂²	semidirect
40. #7739389	C₂²	semidirect
41. #7739384	C₂²	semidirect
42. #7737412	C₂²	semidirect
43. #7737411	C₂²	semidirect
44. #7711906	C₂²	semidirect
45. #7711201	C₂²	semidirect
46. #7666965	C₂²	semidirect
47. C₂×#59126	C₂²	semidirect
48. #7659296	C₂²	semidirect
50. #7627298	C₂²	semidirect
51. C₂×#33559	C₂²	semidirect
52. C₂×#33557	C₂²	semidirect
53. C₂×#33553	C₂²	semidirect
54. C₂×#33551	C₂²	semidirect
55. C₂×#33546	C₂²	semidirect
56. C₂²×#2196	C₂²	semidirect
57. C₂×#33359	C₂²	semidirect
58. C₂×#33359	C₂²	semidirect
59. C₂×#33348	C₂²	semidirect
60. #6628901	C₂²	semidirect
61. #6628900	C₂²	semidirect
62. #6628898	C₂²	semidirect
63. #6628896	C₂²	semidirect
64. #6628894	C₂²	semidirect
65. #6628892	C₂²	semidirect
66. #6628891	C₂²	semidirect
67. C₂×#32898	C₂²	semidirect
68. #6370735	C₂²	semidirect
69. #6370693	C₂²	semidirect
70. #499852	C₂²	semidirect
71. #499851	C₂²	semidirect
72. #499849	C₂²	semidirect
73. #499849	C₂²	semidirect
74. #499848	C₂²	semidirect
75. #499847	C₂²	semidirect
76. #499846	C₂²	semidirect
77. #499845	C₂²	semidirect
78. #499845	C₂²	semidirect
79. #499844	C₂²	semidirect
80. #499844	C₂²	semidirect
81. #499843	C₂²	semidirect
82. #499843	C₂²	semidirect
83. #499843	C₂²	semidirect
84. #499843	C₂²	semidirect
85. #499843	C₂²	semidirect
86. #499843	C₂²	semidirect
87. #499843	C₂²	semidirect
88. #499839	C₂²	semidirect
89. #499838	C₂²	semidirect
90. #499837	C₂²	semidirect
91. #499835	C₂²	semidirect
92. #499832	C₂²	semidirect
93. #499831	C₂²	semidirect
94. #498932	C₂²	semidirect
95. #498931	C₂²	semidirect
96. #498929	C₂²	semidirect
97. #498927	C₂²	semidirect
98. #498925	C₂²	semidirect
99. #498923	C₂²	semidirect
100. #498922	C₂²	semidirect
101. C₂×#13346	C₂²	semidirect
102. #494687	C₂²	semidirect
103. #494685	C₂²	semidirect
104. #494683	C₂²	semidirect
105. #494682	C₂²	semidirect
106. #494680	C₂²	semidirect
107. #494677	C₂²	semidirect
108. #494676	C₂²	semidirect
109. C₂×#13082	C₂²	semidirect
110. #494601	C₂²	semidirect
111. #494600	C₂²	semidirect
112. #494598	C₂²	semidirect
113. #494596	C₂²	semidirect
114. #494592	C₂²	semidirect
115. C₂×#13047	C₂²	semidirect
116. #493431	C₂²	semidirect
117. #493431	C₂²	semidirect
118. #493430	C₂²	semidirect
119. #493430	C₂²	semidirect
120. #493372	C₂²	semidirect
121. #493370	C₂²	semidirect
122. #493365	C₂²	semidirect
123. C₂×#12693	C₂²	semidirect
124. #492887	C₂²	semidirect
126. C₂×H(7,𝔽₂)	C₂³	semidirect
127. C₂×H(7,𝔽₂)	C₂³	semidirect
128. C₂²×#585	C₂³	semidirect
129. C₂³×H(5,𝔽₂)	D₄	semidirect
131. C₂³×H(5,𝔽₂)	C₂³	semidirect
132. C₂×#3498	D₄	semidirect
133. C₂×#3498	D₄	semidirect
134. C₂×#3498	D₄	semidirect
135. C₂×#3498	D₄	semidirect
136. C₂×#3498	D₄	semidirect
137. C₂×#3498	D₄	semidirect
144. C₂×#3484	D₄	semidirect
146. C₂×#3549	C₂³	semidirect
147. C₂×#3543	C₂³	semidirect
148. C₂×#3537	C₂³	semidirect
149. C₂×#3532	C₂³	semidirect
150. C₂×#3481	C₂³	semidirect
151. C₂²×D₄²	D₄	semidirect
152. C₂²×D₄²	C₂³	semidirect
153. C₂²×#535	D₄	semidirect
154. C₂²×#535	D₄	semidirect
157. C₂²×#532	D₄	semidirect
159. C₂³×#127	D₄	semidirect
161. C₂²×C₄×#41	D₄	semidirect
162. C₂×#3027	C₂³	semidirect
163. C₂×#3026	C₂³	semidirect
164. C₂×#3025	C₂³	semidirect
165. C₂²×B(4,𝔽₂)	C₂³	semidirect
166. #60388	D₄	semidirect
168. C₂×#3021	C₂³	semidirect
169. C₂×#3021	C₂³	semidirect
171. C₂×#3019	C₂³	semidirect
172. C₂×#3019	C₂³	semidirect
173. C₂×#3019	C₂³	semidirect
176. C₂×#3018	C₂³	semidirect
177. C₂×#3018	C₂³	semidirect
178. C₂²×#455	C₂³	semidirect
182. C₂²×#453	C₂³	semidirect
183. C₂²×#453	C₂³	semidirect
184. C₂²×#453	C₂³	semidirect
186. C₂×#2888	C₂³	semidirect
187. C₂×#2888	C₂³	semidirect
188. C₂²×#413	C₂³	semidirect
189. C₂³×#100	C₂³	semidirect
191. #59184	C₂³	semidirect
192. #59162	C₂³	semidirect
193. #59143	C₂³	semidirect
194. #59143	C₂³	semidirect
195. #59126	C₂³	semidirect
196. #59126	C₂³	semidirect
197. #59126	C₂³	semidirect
198. #59126	C₂³	semidirect
199. #59126	C₂³	semidirect
200. #59126	C₂³	semidirect
201. #59126	C₂³	semidirect
202. #59070	C₂³	semidirect
203. #59041	C₂³	semidirect
204. #59041	C₂³	semidirect
205. #52165	C₂³	semidirect
206. C₂×#2669	C₂³	semidirect
207. #52013	C₂³	semidirect
208. #52012	C₂³	semidirect
209. #52004	C₂³	semidirect
210. #52004	C₂³	semidirect
211. #51902	C₂³	semidirect
212. #51895	C₂³	semidirect
213. #46324	C₂³	semidirect
214. #46324	C₂³	semidirect
215. #46225	C₂³	semidirect
216. #45977	C₂³	semidirect
217. #37297	C₂³	semidirect
218. #37273	C₂³	semidirect
219. #37269	C₂³	semidirect
220. #37232	C₂³	semidirect
221. #36737	C₂³	semidirect
222. #36702	C₂³	semidirect
223. #35527	D₄	semidirect
225. #35512	D₄	semidirect
227. #35347	D₄	semidirect
229. #35346	D₄	semidirect
231. #35250	D₄	semidirect
233. #34980	D₄	semidirect
235. #34736	D₄	semidirect
237. C₂×#2403	D₄	semidirect
239. #34411	C₂³	semidirect
240. #34406	C₂³	semidirect
241. #34368	C₂³	semidirect
242. #34364	C₂³	semidirect
243. #34256	D₄	semidirect
245. #34171	D₄	semidirect
246. #34155	C₂³	semidirect
247. C₂×#2366	C₂³	semidirect
248. C₂×#2200	C₂³	semidirect
249. C₂×#2199	C₂³	semidirect
250. C₂×#2198	C₂³	semidirect
251. C₂×#2197	C₂³	semidirect
252. C₂×#2196	C₂³	semidirect
253. C₂×#2196	C₂³	semidirect
254. C₂×#2196	C₂³	semidirect
255. C₂×#2128	C₂³	semidirect
256. C₂×#2128	C₂³	semidirect
257. C₂×#2127	C₂³	semidirect
258. C₂×#2127	C₂³	semidirect
259. C₂×#2126	C₂³	semidirect
260. C₂×#2126	C₂³	semidirect
261. C₂²×#353	C₂³	semidirect
262. C₂²×#353	C₂³	semidirect
263. C₂×#2122	C₂³	semidirect
264. C₂×#2121	C₂³	semidirect
265. C₂×#2120	C₂³	semidirect
266. C₂²×AΣL(1,𝔽₁₆)	C₂³	semidirect
267. #32901	C₂³	semidirect
268. #32900	C₂³	semidirect
269. #32900	C₂³	semidirect
270. #32899	C₂³	semidirect
271. #32899	C₂³	semidirect
273. #32898	C₂³	semidirect
274. #32898	C₂³	semidirect
275. #32898	C₂³	semidirect
276. #32898	C₂³	semidirect
277. #20610	C₂³	semidirect
278. #20609	C₂³	semidirect
279. #20608	C₂³	semidirect
280. C₂×#1790	C₂³	semidirect
281. #20586	C₂³	semidirect
282. #20585	C₂³	semidirect
283. #20584	C₂³	semidirect
284. C₂×#1781	C₂³	semidirect
285. #13349	C₂³	semidirect
286. #13348	C₂³	semidirect
287. #13348	C₂³	semidirect
288. #13347	C₂³	semidirect
289. #13347	C₂³	semidirect
290. #13346	C₂³	semidirect
291. #13346	C₂³	semidirect
292. #13346	C₂³	semidirect
293. #13346	C₂³	semidirect
294. #13346	C₂³	semidirect
295. #13083	C₂³	semidirect
296. #13083	C₂³	semidirect
297. #13082	C₂³	semidirect
298. #13082	C₂³	semidirect
299. #13082	C₂³	semidirect
300. #13082	C₂³	semidirect
301. #13082	C₂³	semidirect
302. #13081	C₂³	semidirect
303. #13080	C₂³	semidirect
304. #13080	C₂³	semidirect
305. #13050	C₂³	semidirect
306. #13049	C₂³	semidirect
307. #13048	C₂³	semidirect
308. #13047	C₂³	semidirect
309. #13047	C₂³	semidirect
310. #13047	C₂³	semidirect
311. #13047	C₂³	semidirect
312. #12697	C₂³	semidirect
313. #12696	C₂³	semidirect
314. #12696	C₂³	semidirect
315. #12695	C₂³	semidirect
316. #12695	C₂³	semidirect
317. #12694	C₂³	semidirect
318. #12693	C₂³	semidirect
319. #12693	C₂³	semidirect
320. #12693	C₂³	semidirect
321. #12693	C₂³	semidirect
322. #12575	C₂³	semidirect
323. #12574	C₂³	semidirect
324. #12573	C₂³	semidirect
325. C₂×#1390	C₂³	semidirect
326. H(7,𝔽₂)	C₂×D₄	semidirect
337. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
338. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
339. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
340. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
350. C₂³×#41	C₂×D₄	semidirect
351. C₂³×#41	C₂×D₄	semidirect
357. C₂⁴×D₄	C₂×D₄	semidirect
358. C₂⁴×D₄	C₂×D₄	semidirect
359. C₂⁴×D₄	C₂×D₄	semidirect
361. C₂×H(3,𝔽₄)	C₂⁴	semidirect
362. C₂×#560	C₂⁴	semidirect
364. C₂×#559	C₂⁴	semidirect
365. C₂×#551	C₂⁴	semidirect
366. C₂×D₄²	C₂⁴	semidirect
367. C₂×D₄²	C₂⁴	semidirect
368. C₂×D₄²	C₂⁴	semidirect
374. C₂×#535	C₂×D₄	semidirect
375. C₂×#535	C₂×D₄	semidirect
376. C₂×#535	C₂×D₄	semidirect
377. C₂×#535	C₂×D₄	semidirect
378. C₂×#535	C₂×D₄	semidirect
379. C₂×#535	C₂×D₄	semidirect
380. C₂×#535	C₂×D₄	semidirect
381. C₂×#535	C₂×D₄	semidirect
382. C₂×#535	C₂×D₄	semidirect
383. C₂×#535	C₂×D₄	semidirect
384. C₂×#535	C₂×D₄	semidirect
385. C₂×#535	C₂×D₄	semidirect
386. C₂×#535	C₂×D₄	semidirect
387. C₂×#535	C₂×D₄	semidirect
388. C₂×#535	C₂×D₄	semidirect
389. C₂×#535	C₂×D₄	semidirect
390. C₂×#535	C₂×D₄	semidirect
391. C₂×#535	C₂×D₄	semidirect
392. C₂×#535	C₂×D₄	semidirect
402. C₂×#534	C₂×D₄	semidirect
403. C₂×#534	C₂×D₄	semidirect
407. C₂×#532	C₂×D₄	semidirect
408. C₂×#532	C₂×D₄	semidirect
409. C₂×#532	C₂×D₄	semidirect
410. C₂×#532	C₂×D₄	semidirect
411. C₂×#532	C₂×D₄	semidirect
412. C₂×#532	C₂×D₄	semidirect
413. C₂×#532	C₂×D₄	semidirect
414. C₂×#532	C₂×D₄	semidirect
415. C₂×#532	C₂×D₄	semidirect
416. C₂×#532	C₂×D₄	semidirect
421. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
424. C₂²×#127	C₂×D₄	semidirect
425. C₂²×#127	C₂×D₄	semidirect
426. C₂²×#127	C₂×D₄	semidirect
427. C₂²×#127	C₂×D₄	semidirect
428. C₂²×#127	C₂×D₄	semidirect
429. C₂²×#127	C₂×D₄	semidirect
430. C₂²×#127	C₂×D₄	semidirect
431. C₂²×#127	C₂×D₄	semidirect
432. C₂²×#127	C₂×D₄	semidirect
433. C₂²×#127	C₂×D₄	semidirect
434. C₂²×#127	C₂×D₄	semidirect
435. C₂²×#127	C₂×D₄	semidirect
442. C₂²×#124	C₂×D₄	semidirect
443. C₂²×#124	C₂×D₄	semidirect
444. C₂²×#124	C₂×D₄	semidirect
447. C₂×#525	C₂×D₄	semidirect
448. C₂×#525	C₂×D₄	semidirect
450. C₂²×#121	C₂×D₄	semidirect
451. C₂²×#121	C₂×D₄	semidirect
452. C₂²×#121	C₂×D₄	semidirect
454. C₂²×#120	C₂×D₄	semidirect
455. C₂²×#120	C₂×D₄	semidirect
456. C₂²×#120	C₂×D₄	semidirect
457. C₂²×#120	C₂×D₄	semidirect
463. C₂×C₄×#41	C₂×D₄	semidirect
464. C₂×C₄×#41	C₂×D₄	semidirect
465. C₂×C₄×#41	C₂×D₄	semidirect
466. C₂×C₄×#41	C₂×D₄	semidirect
468. C₂²×C₄×D₄	C₂×D₄	semidirect
469. C₂²×#117	C₂×D₄	semidirect
470. C₂²×#117	C₂×D₄	semidirect
471. C₂³×C₄²	C₂×D₄	semidirect
472. C₂³×C₄²	C₂×D₄	semidirect
476. #3021	C₂×D₄	semidirect
477. #3019	C₂×D₄	semidirect
478. #3018	C₂×D₄	semidirect
481. C₂×#453	C₂×D₄	semidirect
486. #2888	C₂×D₄	semidirect
494. #2717	C₂⁴	semidirect
495. #2709	C₂⁴	semidirect
496. #2709	C₂⁴	semidirect
497. #2684	C₂⁴	semidirect
498. #2684	C₂⁴	semidirect
499. #2669	C₂⁴	semidirect
500. #2669	C₂⁴	semidirect
501. #2669	C₂⁴	semidirect
502. #2669	C₂⁴	semidirect
503. #2669	C₂⁴	semidirect
504. #2406	C₂×D₄	semidirect
505. #2406	C₂×D₄	semidirect
507. #2405	C₂×D₄	semidirect
508. #2405	C₂×D₄	semidirect
509. #2405	C₂×D₄	semidirect
510. #2405	C₂×D₄	semidirect
511. #2405	C₂×D₄	semidirect
514. #2404	C₂×D₄	semidirect
515. #2404	C₂×D₄	semidirect
516. #2404	C₂×D₄	semidirect
517. #2404	C₂×D₄	semidirect
518. #2404	C₂×D₄	semidirect
521. #2403	C₂×D₄	semidirect
522. #2403	C₂×D₄	semidirect
523. #2403	C₂×D₄	semidirect
524. #2403	C₂×D₄	semidirect
525. #2403	C₂×D₄	semidirect
526. #2403	C₂×D₄	semidirect
527. #2403	C₂×D₄	semidirect
528. #2403	C₂×D₄	semidirect
529. #2403	C₂×D₄	semidirect
530. #2403	C₂×D₄	semidirect
531. #2403	C₂×D₄	semidirect
532. #2403	C₂×D₄	semidirect
533. #2403	C₂×D₄	semidirect
534. #2403	C₂×D₄	semidirect
540. #2380	C₂⁴	semidirect
541. #2379	C₂⁴	semidirect
542. #2372	C₂⁴	semidirect
543. #2366	C₂⁴	semidirect
544. #2366	C₂⁴	semidirect
545. #2366	C₂⁴	semidirect
546. #2366	C₂⁴	semidirect
548. #2311	C₂×D₄	semidirect
549. #2311	C₂×D₄	semidirect
551. #2309	C₂×D₄	semidirect
552. #2309	C₂×D₄	semidirect
554. #2308	C₂×D₄	semidirect
555. #2308	C₂×D₄	semidirect
556. #2308	C₂×D₄	semidirect
557. #2308	C₂×D₄	semidirect
560. #2297	C₂×D₄	semidirect
561. #2297	C₂×D₄	semidirect
564. C₂×#386	C₂×D₄	semidirect
565. C₂×#386	C₂×D₄	semidirect
567. #2280	C₂×D₄	semidirect
568. #2280	C₂×D₄	semidirect
569. C₂×#379	C₂×D₄	semidirect
570. C₂×#379	C₂×D₄	semidirect
571. C₂×#354	C₂⁴	semidirect
572. C₂×#354	C₂⁴	semidirect
573. C₂×#353	C₂⁴	semidirect
574. C₂×#353	C₂⁴	semidirect
575. C₂×#353	C₂⁴	semidirect
576. C₂×#353	C₂⁴	semidirect
577. C₂×#352	C₂⁴	semidirect
578. C₂×AΣL(1,𝔽₁₆)	C₂⁴	semidirect
579. C₂×AΣL(1,𝔽₁₆)	C₂⁴	semidirect
586. #1390	C₂⁴	semidirect
587. #1390	C₂⁴	semidirect
588. #1390	C₂⁴	semidirect
592. #585	C₂²×D₄	semidirect
593. C₂×H(5,𝔽₂)	#120	semidirect
595. C₂×H(5,𝔽₂)	C₂²×D₄	semidirect
688. #535	#120	semidirect
689. #535	#120	semidirect
692. #532	#120	semidirect
698. C₂×#127	#120	semidirect
756. C₄×#41	#120	semidirect
791. #455	C₂²×D₄	semidirect
793. #453	C₂²×D₄	semidirect
794. #413	C₂²×D₄	semidirect
795. C₂×#100	C₂²×D₄	semidirect
845. C₂×#41	C₂×#120	semidirect
846. C₂×#41	C₂×#120	semidirect
882. C₂²×D₄	C₂×#120	semidirect
883. C₂²×D₄	C₂×#120	semidirect
926. C₄⋊Q₈	C₂×#120	semidirect
927. #127	C₂×#120	semidirect
928. #127	C₂×#120	semidirect
929. #127	C₂×#120	semidirect
932. #124	C₂×#120	semidirect
933. #124	C₂×#120	semidirect
934. #124	C₂×#120	semidirect
936. #117	C₂×#120	semidirect
937. #117	C₂×#120	semidirect
944. C₂×C₄²	C₂×#120	semidirect
945. C₂×C₄²	C₂×#120	semidirect
1032. C₂²	#7622880	semidirect

Maximal subgroups

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

subgroup	index
#72262419	2
#72262417	2
#72262414	2
#72262413	2
#72262412	2
#72262180	2
#72256627	2
#72256378	2
#72252021	2
#72251874	2
C₂²×#60388	2
#72249456	2
#72240218	2
#72235270	2
#72234696	2
#72234448	2
#72234146	2
C₂×#499843	2
C₂×#7622880	2
#72233689	2