Subgroups — #72317586

Order 2048.

At least 15071 conjugacy classes of subgroups; only the 5172 normal subgroups are shown.

The subgroup lattice has 1157 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72317570	C₂	1	4	yes	maximal, complemented
2	#72317565	C₂	1	4	yes	maximal, complemented
3	#72317558	C₂	1	4	yes	maximal, complemented
4	#72261229	C₂	1	8	yes	maximal, complemented
5	#72261209	C₂	1	8	yes	maximal, complemented
6	#72249537	C₂	1	1	yes	maximal, characteristic, complemented
7	#72238030	C₂	1	1	yes	maximal, characteristic, complemented
8	#72237496	C₂	1	8	yes	maximal, complemented
9	#72237400	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#6470225	C₂	1	2	yes	maximal, complemented
11	#72236467	C₂	1	2	yes	maximal, complemented
12	C₂×#233541	C₂	1	2	yes	maximal, complemented
13	#72236431	C₂	1	2	yes	maximal, complemented
14	C₂×#201664	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#6628892	C₂	1	1	yes	maximal, characteristic, complemented
16	#72233348	C₂	1	4	yes	maximal, complemented
17	#72233042	C₂	1	8	yes	maximal, complemented
18	#72232294	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#32898	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁴×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
21	C₂²×#3484	C₂²	1	1	yes	characteristic
22	C₂²×#3484	C₂²	1	1	yes	characteristic, complemented
23	#7733149	C₂²	1	4	yes	complemented
24	#7733085	C₂²	1	4	yes	complemented
25	#7721789	C₂²	1	4	yes	complemented
26	#7721725	C₂²	1	4	yes	complemented
27	#7644775	C₂²	1	2	yes	complemented
28	#7644629	C₂²	1	2	yes	complemented
29	#7641845	C₂²	1	1	yes	characteristic, complemented
30	#7631581	C₂²	1	4	yes	complemented
31	#7631581	C₂²	1	4	yes	complemented
32	#7631390	C₂²	1	2	yes	complemented
33	#7631286	C₂²	1	4	yes	complemented
34	#7631286	C₂²	1	2	yes	complemented
35	#7631286	C₂²	1	4	yes	complemented
36	#7630502	C₂²	1	4	yes	complemented
37	#7630442	C₂²	1	4	yes	complemented
38	C₂×#34980	C₂²	1	1	yes	characteristic
39	C₂×#34980	C₂²	1	2	yes	—
40	C₂×#34980	C₂²	1	2	yes	complemented
41	C₂×#34980	C₂²	1	2	yes	complemented
42	C₂×#34980	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#2403	C₂²	1	1	yes	characteristic
44	C₂²×#2403	C₂²	1	2	yes	complemented
45	#7626202	C₂²	1	1	yes	characteristic, complemented
46	C₂×#34171	C₂²	1	1	yes	characteristic, complemented
47	C₂×#33020	C₂²	1	4	yes	complemented
48	#6628892	C₂²	1	8	yes	complemented
49	#6628892	C₂²	1	4	yes	complemented
50	#6628892	C₂²	1	4	yes	complemented
51	C₂×#32900	C₂²	1	4	yes	complemented
52	C₂×#32898	C₂²	1	4	yes	complemented
53	C₂×#32898	C₂²	1	4	yes	complemented
54	C₂×#32898	C₂²	1	4	yes	complemented
55	C₂×#32898	C₂²	1	8	yes	complemented
56	C₂×#32898	C₂²	1	4	yes	complemented
57	C₂×#32898	C₂²	1	4	yes	complemented
58	C₂×#32898	C₂²	1	4	yes	complemented
59	#6470225	C₂²	1	16	yes	complemented
60	#6470225	C₂²	1	16	yes	complemented
61	C₂×#29634	C₂²	1	4	yes	complemented
62	C₂×#29634	C₂²	1	4	yes	complemented
63	C₂×#21746	C₂²	1	2	yes	complemented
64	C₂×#21746	C₂²	1	2	yes	complemented
65	C₂×#21746	C₂²	1	2	yes	complemented
66	C₂²×#1781	C₂²	1	1	yes	characteristic, complemented
67	C₂²×#1781	C₂²	1	2	yes	complemented
68	C₂²×#1781	C₂²	1	1	yes	characteristic, complemented
69	C₂²×#1781	C₂²	1	2	yes	complemented
70	C₂²×#1781	C₂²	1	2	yes	complemented
71	#245256	C₂²	1	16	yes	complemented
72	#245255	C₂²	1	16	yes	complemented
73	#245254	C₂²	1	16	yes	complemented
74	#245252	C₂²	1	16	yes	complemented
75	#245251	C₂²	1	16	yes	complemented
76	#245249	C₂²	1	16	yes	complemented
77	#245247	C₂²	1	16	yes	complemented
78	#245246	C₂²	1	16	yes	complemented
79	#245235	C₂²	1	16	yes	complemented
80	#245233	C₂²	1	16	yes	complemented
81	#245231	C₂²	1	16	yes	complemented
82	#245229	C₂²	1	16	yes	complemented
83	#245229	C₂²	1	16	yes	complemented
84	#245228	C₂²	1	16	yes	complemented
85	#245227	C₂²	1	16	yes	complemented
86	#245225	C₂²	1	16	yes	complemented
87	#233549	C₂²	1	16	yes	complemented
88	#233542	C₂²	1	8	yes	complemented
89	#233542	C₂²	1	8	yes	complemented
90	#233541	C₂²	1	8	yes	complemented
91	#233541	C₂²	1	8	yes	complemented
92	#233541	C₂²	1	8	yes	complemented
93	#233541	C₂²	1	16	yes	complemented
94	#233541	C₂²	1	8	yes	complemented
95	C₂×#10337	C₂²	1	8	yes	complemented
96	C₂×#10336	C₂²	1	8	yes	complemented
97	#201701	C₂²	1	8	yes	complemented
98	#201690	C₂²	1	4	yes	complemented
99	#201687	C₂²	1	4	yes	complemented
100	#201678	C₂²	1	16	yes	complemented
101	#201678	C₂²	1	16	yes	complemented
102	#201668	C₂²	1	4	yes	complemented
103	#201665	C₂²	1	8	yes	complemented
104	#201664	C₂²	1	8	yes	complemented
105	#201664	C₂²	1	4	yes	complemented
106	#201664	C₂²	1	4	yes	complemented
107	#201664	C₂²	1	4	yes	complemented
108	#201664	C₂²	1	8	yes	complemented
109	C₂×#9497	C₂²	1	4	yes	complemented
110	C₂×#9495	C₂²	1	4	yes	complemented
111	#188050	C₂²	1	4	yes	complemented
112	#188049	C₂²	1	4	yes	complemented
113	#188036	C₂²	1	4	yes	complemented
114	#188036	C₂²	1	4	yes	complemented
115	#188035	C₂²	1	4	yes	complemented
116	#188035	C₂²	1	4	yes	complemented
117	C₂×#8101	C₂²	1	2	yes	complemented
118	C₂×#8101	C₂²	1	2	yes	complemented
119	C₂³×H(5,𝔽₂)	D₄	1	1	yes	characteristic, complemented
120	C₂³×H(5,𝔽₂)	C₂³	1	4	yes	—
121	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	complemented
122	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	complemented
123	C₂³×H(5,𝔽₂)	C₂³	1	4	yes	complemented
124	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic, complemented
125	C₂⁵×D₄	C₂³	1	1	yes	characteristic
126	C₂⁵×D₄	C₂³	1	2	yes	—
127	C₂⁵×D₄	C₂³	1	1	yes	characteristic
128	C₂×#3484	C₂³	1	4	yes	complemented
129	C₂×#3484	C₂³	1	4	yes	complemented
130	C₂²×#546	D₄	1	2	yes	complemented
131	C₂²×#546	D₄	1	2	yes	complemented
132	C₂²×#546	C₂³	1	2	yes	—
133	C₂²×#546	C₂³	1	2	yes	—
134	C₂²×D₄²	D₄	1	2	yes	complemented
135	C₂²×D₄²	D₄	1	2	yes	complemented
136	C₂²×D₄²	C₂³	1	2	yes	—
137	C₂²×D₄²	C₂³	1	2	yes	—
138	C₂²×#535	C₂³	1	2	yes	—
139	C₂²×#534	D₄	1	1	yes	characteristic, complemented
140	C₂²×#534	D₄	1	1	yes	characteristic, complemented
141	C₂²×#534	D₄	1	2	yes	complemented
142	C₂²×#534	C₂³	1	2	yes	—
143	C₂²×#534	C₂³	1	1	yes	characteristic, complemented
144	C₂²×#534	C₂³	1	1	yes	characteristic, complemented
145	C₂²×#525	D₄	1	2	yes	complemented
146	C₂³×#120	D₄	1	2	yes	complemented
147	C₂³×#120	D₄	1	2	yes	complemented
148	C₂³×#120	C₂³	1	1	yes	characteristic
149	C₂³×#120	C₂³	1	1	yes	characteristic
150	C₂³×#120	C₂³	1	1	yes	characteristic
151	C₂²×#518	D₄	1	1	yes	characteristic, complemented
152	C₂²×#518	C₂³	1	1	yes	characteristic, complemented
153	#37436	C₂³	1	4	yes	complemented
154	#37232	C₂³	1	4	yes	complemented
155	#37117	C₂³	1	4	yes	complemented
156	#36967	C₂³	1	4	yes	complemented
157	#36721	C₂³	1	4	yes	complemented
158	#36717	C₂³	1	4	yes	complemented
159	#36717	C₂³	1	4	yes	complemented
160	#36715	C₂³	1	4	yes	complemented
161	#36714	C₂³	1	4	yes	complemented
162	C₂×#2849	D₄	1	4	yes	complemented
163	C₂×#2846	D₄	1	4	yes	complemented
164	#35616	C₂³	1	8	yes	complemented
165	#35527	C₂³	1	8	yes	complemented
166	#35527	C₂³	1	4	yes	complemented
167	#35512	C₂³	1	8	yes	complemented
168	#35512	C₂³	1	8	yes	complemented
169	#35512	C₂³	1	4	yes	complemented
170	#35451	C₂³	1	4	yes	complemented
171	#35446	C₂³	1	8	yes	complemented
172	#35355	C₂³	1	4	yes	complemented
173	#35355	C₂³	1	4	yes	complemented
174	#35354	C₂³	1	4	yes	complemented
175	#35347	C₂³	1	8	yes	complemented
176	#35347	C₂³	1	8	yes	complemented
177	#35347	C₂³	1	4	yes	complemented
178	#35346	C₂³	1	8	yes	complemented
179	#35346	C₂³	1	4	yes	complemented
180	#34992	C₂³	1	2	yes	complemented
181	#34992	C₂³	1	2	yes	complemented
182	#34980	D₄	1	8	yes	complemented
183	#34980	D₄	1	8	yes	complemented
184	#34980	D₄	1	4	yes	complemented
185	#34980	D₄	1	4	yes	complemented
186	#34980	C₂³	1	8	yes	—
187	#34980	C₂³	1	8	yes	—
188	#34980	C₂³	1	8	yes	—
189	#34980	C₂³	1	8	yes	—
190	#34980	C₂³	1	8	yes	—
191	#34980	C₂³	1	2	yes	—
192	#34980	C₂³	1	4	yes	—
193	#34980	C₂³	1	2	yes	—
194	#34980	C₂³	1	8	yes	complemented
195	#34980	C₂³	1	2	yes	complemented
196	#34980	C₂³	1	4	yes	complemented
197	#34980	C₂³	1	2	yes	complemented
198	#34980	C₂³	1	2	yes	complemented
199	#34980	C₂³	1	2	yes	complemented
200	C₂×#2405	D₄	1	2	yes	complemented
201	C₂×#2405	C₂³	1	4	yes	—
202	C₂×#2405	C₂³	1	2	yes	—
203	C₂×#2405	C₂³	1	4	yes	—
204	C₂×#2405	C₂³	1	4	yes	complemented
205	C₂×#2405	C₂³	1	2	yes	complemented
206	C₂×#2410	D₄	1	8	yes	complemented
207	C₂×#2403	D₄	1	2	yes	complemented
208	C₂×#2403	D₄	1	4	yes	complemented
209	C₂×#2403	D₄	1	4	yes	complemented
210	C₂×#2403	D₄	1	2	yes	complemented
211	C₂×#2403	D₄	1	2	yes	complemented
212	C₂×#2403	C₂³	1	2	yes	—
213	C₂×#2403	C₂³	1	2	yes	—
214	C₂×#2403	C₂³	1	4	yes	—
215	C₂×#2403	C₂³	1	2	yes	—
216	C₂×#2403	C₂³	1	2	yes	—
217	C₂×#2403	C₂³	1	2	yes	—
218	C₂×#2403	C₂³	1	4	yes	—
219	C₂×#2403	C₂³	1	4	yes	—
220	C₂×#2403	C₂³	1	4	yes	—
221	C₂×#2403	C₂³	1	8	yes	—
222	C₂×#2403	C₂³	1	8	yes	—
223	C₂×#2403	C₂³	1	4	yes	—
224	C₂×#2403	C₂³	1	4	yes	complemented
225	C₂×#2403	C₂³	1	2	yes	complemented
226	#34356	C₂³	1	4	yes	complemented
227	#34356	C₂³	1	4	yes	complemented
228	#34176	C₂³	1	2	yes	complemented
229	#34171	C₂³	1	4	yes	—
230	#34171	C₂³	1	4	yes	complemented
231	#34171	C₂³	1	2	yes	complemented
232	C₂×#2309	C₂³	1	2	yes	complemented
233	C₂×#2308	D₄	1	2	yes	complemented
234	C₂×#2308	C₂³	1	2	yes	complemented
235	C₂²×#386	D₄	1	2	yes	complemented
236	C₂²×#379	C₂³	1	2	yes	—
237	C₂²×#379	C₂³	1	2	yes	—
238	C₂²×#379	C₂³	1	1	yes	characteristic
239	C₂²×#379	C₂³	1	1	yes	characteristic
240	C₂²×#379	C₂³	1	2	yes	—
241	#33020	C₂³	1	32	yes	complemented
242	#32900	C₂³	1	16	yes	complemented
243	#32900	C₂³	1	16	yes	complemented
244	#32898	C₂³	1	16	yes	—
245	#32898	C₂³	1	16	yes	—
246	#32898	C₂³	1	16	yes	complemented
247	#32898	C₂³	1	16	yes	complemented
248	#32898	C₂³	1	16	yes	complemented
249	#32898	C₂³	1	16	yes	complemented
250	#32898	C₂³	1	32	yes	complemented
251	#29634	C₂³	1	32	yes	complemented
252	#29634	C₂³	1	32	yes	complemented
253	#21746	C₂³	1	8	yes	complemented
254	#21746	C₂³	1	8	yes	complemented
255	#21746	C₂³	1	8	yes	complemented
256	#21746	C₂³	1	8	yes	complemented
257	#21746	C₂³	1	8	yes	complemented
258	#21746	C₂³	1	8	yes	complemented
259	C₂×#1819	C₂³	1	4	yes	complemented
260	C₂×#1819	C₂³	1	4	yes	complemented
261	C₂×#1819	C₂³	1	4	yes	complemented
262	C₂×#1781	C₂³	1	8	yes	—
263	C₂×#1781	C₂³	1	4	yes	—
264	C₂×#1781	C₂³	1	8	yes	—
265	C₂×#1781	C₂³	1	4	yes	—
266	C₂×#1781	C₂³	1	8	yes	complemented
267	C₂×#1781	C₂³	1	8	yes	complemented
268	C₂×#1781	C₂³	1	4	yes	complemented
269	C₂×#1781	C₂³	1	2	yes	complemented
270	C₂×#1781	C₂³	1	2	yes	complemented
271	C₂×#1781	C₂³	1	8	yes	complemented
272	C₂×#1781	C₂³	1	8	yes	complemented
273	C₂×#1781	C₂³	1	4	yes	complemented
274	C₂×#1781	C₂³	1	2	yes	complemented
275	C₂×#1781	C₂³	1	2	yes	complemented
276	C₂×#1781	C₂³	1	4	yes	complemented
277	C₂×#1781	C₂³	1	4	yes	complemented
278	C₂×#1781	C₂³	1	4	yes	complemented
279	C₂×#1781	C₂³	1	8	yes	complemented
280	C₂×#1781	C₂³	1	8	yes	complemented
281	C₂×#1781	C₂³	1	4	yes	complemented
282	C₂×#1781	C₂³	1	4	yes	complemented
283	#10338	C₂³	1	32	yes	complemented
284	#10337	C₂³	1	32	yes	complemented
285	#10337	C₂³	1	32	yes	complemented
286	#10337	C₂³	1	32	yes	complemented
287	#10337	C₂³	1	32	yes	complemented
288	#10336	C₂³	1	32	yes	complemented
289	#10336	C₂³	1	32	yes	complemented
290	#10336	C₂³	1	32	yes	complemented
291	#9501	C₂³	1	16	yes	complemented
292	#9499	C₂³	1	16	yes	complemented
293	#9498	C₂³	1	32	yes	complemented
294	#9497	C₂³	1	16	yes	complemented
295	#9497	C₂³	1	16	yes	complemented
296	#9497	C₂³	1	16	yes	complemented
297	#9497	C₂³	1	32	yes	complemented
298	#9496	C₂³	1	32	yes	complemented
299	#9495	C₂³	1	16	yes	complemented
300	#9495	C₂³	1	16	yes	complemented
301	#9495	C₂³	1	16	yes	complemented
302	#9495	C₂³	1	32	yes	complemented
303	#8546	C₂³	1	8	yes	complemented
304	#8544	C₂³	1	8	yes	complemented
305	#8543	C₂³	1	8	yes	complemented
306	#8542	C₂³	1	8	yes	complemented
307	#8542	C₂³	1	8	yes	complemented
308	#8542	C₂³	1	8	yes	complemented
309	#8542	C₂³	1	8	yes	complemented
310	#8541	C₂³	1	8	yes	complemented
311	#8101	C₂³	1	8	yes	complemented
312	#8101	C₂³	1	8	yes	complemented
313	#8101	C₂³	1	8	yes	complemented
314	#8101	C₂³	1	8	yes	complemented
315	C₂×#1304	C₂³	1	8	yes	complemented
316	C₂×#1304	C₂³	1	8	yes	complemented
317	C₂⁷	C₂×D₄	1	1	yes	characteristic
318	C₂⁷	C₂×D₄	1	2	yes	complemented
319	C₂⁷	C₂×D₄	1	1	yes	characteristic, complemented
320	C₂⁷	C₂⁴	1	1	yes	characteristic
321	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
322	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
323	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	complemented
324	C₂³×#41	C₂×D₄	1	2	yes	complemented
325	C₂³×#41	C₂×D₄	1	2	yes	complemented
326	C₂³×#41	C₂×D₄	1	2	yes	complemented
327	C₂⁴×D₄	C₂×D₄	1	2	yes	—
328	C₂⁴×D₄	C₂×D₄	1	2	yes	—
329	C₂⁴×D₄	C₂×D₄	1	2	yes	—
330	C₂⁴×D₄	C₂×D₄	1	2	yes	—
331	C₂⁴×D₄	C₂×D₄	1	2	yes	—
332	C₂⁴×D₄	C₂×D₄	1	2	yes	—
333	C₂⁴×D₄	C₂×D₄	1	2	yes	—
334	C₂⁴×D₄	C₂×D₄	1	2	yes	—
335	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
336	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
337	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
338	C₂⁴×D₄	C₂×D₄	1	2	yes	—
339	C₂⁴×D₄	C₂×D₄	1	2	yes	—
340	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
341	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
342	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
343	C₂⁴×D₄	C₂×D₄	1	4	yes	complemented
344	C₂⁴×D₄	C₂×D₄	1	4	yes	complemented
345	C₂⁴×D₄	C₂×D₄	1	4	yes	complemented
346	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
347	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
348	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
349	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
350	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
351	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
352	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
353	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
354	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
355	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
356	C₂⁴×D₄	C₂×D₄	1	2	yes	complemented
357	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
358	C₂⁴×D₄	C₂⁴	1	4	yes	—
359	C₂⁴×D₄	C₂⁴	1	4	yes	—
360	C₂⁴×D₄	C₂⁴	1	4	yes	—
361	C₂⁴×D₄	C₂⁴	1	2	yes	—
362	C₂⁴×D₄	C₂⁴	1	2	yes	—
363	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
364	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
365	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
366	C₂⁴×D₄	C₂⁴	1	2	yes	—
367	C₂⁴×D₄	C₂⁴	1	2	yes	—
368	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
369	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
370	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
371	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
372	C₂⁵×C₄	C₂×D₄	1	2	yes	complemented
373	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic, complemented
374	C₂×#534	C₂×D₄	1	8	yes	complemented
375	C₂×#534	C₂×D₄	1	4	yes	complemented
376	C₂×#534	C₂×D₄	1	4	yes	complemented
377	C₂×#534	C₂⁴	1	4	yes	complemented
378	C₂×#534	C₂⁴	1	4	yes	complemented
379	C₂²×#127	C₂×D₄	1	2	yes	complemented
380	C₂²×#127	C₂⁴	1	2	yes	—
381	C₂²×#124	C₂×D₄	1	2	yes	complemented
382	C₂²×#124	C₂⁴	1	2	yes	—
383	C₂²×#123	C₂×D₄	1	4	yes	complemented
384	C₂²×#123	C₂×D₄	1	2	yes	complemented
385	C₂²×#123	C₂×D₄	1	2	yes	complemented
386	C₂²×#123	C₂×D₄	1	2	yes	complemented
387	C₂²×#123	C₂×D₄	1	2	yes	complemented
388	C₂²×#123	C₂×D₄	1	2	yes	complemented
389	C₂²×#123	C₂⁴	1	2	yes	—
390	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
391	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	complemented
392	C₂²×#121	C₂×D₄	1	2	yes	complemented
393	C₂²×#121	C₂×D₄	1	2	yes	complemented
394	C₂²×#121	C₂×D₄	1	2	yes	complemented
395	C₂²×#121	C₂×D₄	1	2	yes	complemented
396	C₂²×#121	C₂×D₄	1	2	yes	complemented
397	C₂²×#121	C₂×D₄	1	2	yes	complemented
398	C₂²×#121	C₂×D₄	1	2	yes	complemented
399	C₂²×#121	C₂×D₄	1	2	yes	complemented
400	C₂²×#121	C₂×D₄	1	2	yes	complemented
401	C₂²×#121	C₂×D₄	1	2	yes	complemented
402	C₂²×#121	C₂⁴	1	2	yes	—
403	C₂²×#121	C₂⁴	1	2	yes	—
404	C₂²×#121	C₂⁴	1	2	yes	—
405	C₂²×#121	C₂⁴	1	2	yes	—
406	C₂²×#120	C₂×D₄	1	4	yes	—
407	C₂²×#120	C₂×D₄	1	4	yes	—
408	C₂²×#120	C₂×D₄	1	4	yes	—
409	C₂²×#120	C₂×D₄	1	4	yes	—
410	C₂²×#120	C₂×D₄	1	2	yes	—
411	C₂²×#120	C₂×D₄	1	2	yes	—
412	C₂²×#120	C₂×D₄	1	2	yes	—
413	C₂²×#120	C₂×D₄	1	2	yes	—
414	C₂²×#120	C₂×D₄	1	4	yes	complemented
415	C₂²×#120	C₂×D₄	1	4	yes	complemented
416	C₂²×#120	C₂×D₄	1	4	yes	complemented
417	C₂²×#120	C₂×D₄	1	4	yes	complemented
418	C₂²×#120	C₂×D₄	1	8	yes	complemented
419	C₂²×#120	C₂×D₄	1	4	yes	complemented
420	C₂²×#120	C₂×D₄	1	8	yes	complemented
421	C₂²×#120	C₂×D₄	1	2	yes	complemented
422	C₂²×#120	C₂×D₄	1	2	yes	complemented
423	C₂²×#120	C₂×D₄	1	2	yes	complemented
424	C₂²×#120	C₂×D₄	1	2	yes	complemented
425	C₂²×#120	C₂×D₄	1	2	yes	complemented
426	C₂²×#120	C₂×D₄	1	2	yes	complemented
427	C₂²×#120	C₂×D₄	1	2	yes	complemented
428	C₂²×#120	C₂×D₄	1	2	yes	complemented
429	C₂²×#120	C₂×D₄	1	2	yes	complemented
430	C₂²×#120	C₂×D₄	1	2	yes	complemented
431	C₂²×#120	C₂×D₄	1	2	yes	complemented
432	C₂²×#120	C₂⁴	1	2	yes	—
433	C₂²×#120	C₂⁴	1	2	yes	—
434	C₂²×#120	C₂⁴	1	2	yes	—
435	C₂²×#120	C₂⁴	1	2	yes	—
436	C₂²×#120	C₂⁴	1	2	yes	—
437	C₂²×#120	C₂⁴	1	2	yes	—
438	C₂²×#120	C₂⁴	1	2	yes	—
439	C₂×#518	C₂⁴	1	4	yes	complemented
440	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
441	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
442	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
443	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
444	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
445	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
446	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
447	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
448	C₂²×#117	C₂×D₄	1	2	yes	complemented
449	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
450	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
452	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
453	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
454	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
455	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
456	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
457	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
458	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
459	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
460	C₂³×C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
461	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
462	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
463	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
464	#2849	C₂×D₄	1	16	yes	complemented
465	#2849	C₂×D₄	1	16	yes	complemented
466	#2846	C₂×D₄	1	16	yes	complemented
467	#2846	C₂×D₄	1	16	yes	complemented
468	#2483	C₂⁴	1	4	yes	complemented
469	#2410	C₂×D₄	1	32	yes	complemented
470	#2410	C₂×D₄	1	32	yes	complemented
471	#2405	C₂×D₄	1	16	yes	complemented
472	#2405	C₂×D₄	1	8	yes	complemented
473	#2405	C₂×D₄	1	8	yes	complemented
474	#2405	C₂×D₄	1	4	yes	complemented
475	#2405	C₂×D₄	1	4	yes	complemented
476	#2405	C₂⁴	1	16	yes	—
477	#2405	C₂⁴	1	16	yes	—
478	#2405	C₂⁴	1	16	yes	—
479	#2405	C₂⁴	1	4	yes	—
480	#2405	C₂⁴	1	4	yes	—
481	#2405	C₂⁴	1	4	yes	complemented
482	#2405	C₂⁴	1	4	yes	complemented
483	#2405	C₂⁴	1	4	yes	complemented
484	#2405	C₂⁴	1	4	yes	complemented
485	#2403	C₂×D₄	1	4	yes	complemented
486	#2403	C₂×D₄	1	4	yes	complemented
487	#2403	C₂×D₄	1	4	yes	complemented
488	#2403	C₂×D₄	1	8	yes	complemented
489	#2403	C₂×D₄	1	4	yes	complemented
490	#2403	C₂×D₄	1	8	yes	complemented
491	#2403	C₂×D₄	1	8	yes	complemented
492	#2403	C₂×D₄	1	8	yes	complemented
493	#2403	C₂×D₄	1	8	yes	complemented
494	#2403	C₂×D₄	1	8	yes	complemented
495	#2403	C₂×D₄	1	4	yes	complemented
496	#2403	C₂×D₄	1	4	yes	complemented
497	#2403	C₂×D₄	1	16	yes	complemented
498	#2403	C₂⁴	1	16	yes	—
499	#2403	C₂⁴	1	16	yes	—
500	#2403	C₂⁴	1	16	yes	—
501	#2403	C₂⁴	1	16	yes	—
502	#2403	C₂⁴	1	4	yes	—
503	#2403	C₂⁴	1	4	yes	—
504	#2403	C₂⁴	1	4	yes	—
505	#2403	C₂⁴	1	4	yes	—
506	#2403	C₂⁴	1	16	yes	—
507	#2403	C₂⁴	1	4	yes	—
508	#2403	C₂⁴	1	4	yes	—
509	#2403	C₂⁴	1	4	yes	complemented
510	#2403	C₂⁴	1	4	yes	complemented
511	#2403	C₂⁴	1	4	yes	complemented
512	#2312	C₂⁴	1	4	yes	complemented
513	#2312	C₂⁴	1	4	yes	complemented
514	#2309	C₂⁴	1	8	yes	—
515	#2309	C₂⁴	1	4	yes	complemented
516	#2308	C₂×D₄	1	8	yes	complemented
517	#2308	C₂×D₄	1	4	yes	complemented
518	#2308	C₂×D₄	1	4	yes	complemented
519	#2308	C₂⁴	1	8	yes	—
520	#2308	C₂⁴	1	4	yes	complemented
521	C₂×#386	C₂×D₄	1	4	yes	complemented
522	C₂×#386	C₂×D₄	1	4	yes	complemented
523	C₂×#386	C₂×D₄	1	4	yes	complemented
524	C₂×#386	C₂×D₄	1	4	yes	complemented
525	C₂×#386	C₂×D₄	1	8	yes	complemented
526	C₂×#386	C₂×D₄	1	8	yes	complemented
527	C₂×#386	C₂×D₄	1	4	yes	complemented
528	C₂×#386	C₂×D₄	1	4	yes	complemented
529	C₂×#385	C₂×D₄	1	8	yes	complemented
530	C₂×#379	C₂×D₄	1	4	yes	complemented
531	C₂×#379	C₂×D₄	1	4	yes	complemented
532	C₂×#379	C₂×D₄	1	2	yes	complemented
533	C₂×#379	C₂×D₄	1	2	yes	complemented
534	C₂×#379	C₂×D₄	1	2	yes	complemented
535	C₂×#379	C₂×D₄	1	2	yes	complemented
536	C₂×#379	C₂×D₄	1	2	yes	complemented
537	C₂×#379	C₂×D₄	1	2	yes	complemented
538	C₂×#379	C₂×D₄	1	4	yes	complemented
539	C₂×#379	C₂×D₄	1	8	yes	complemented
540	C₂×#379	C₂⁴	1	4	yes	—
541	C₂×#379	C₂⁴	1	4	yes	—
542	C₂×#379	C₂⁴	1	4	yes	—
543	C₂×#379	C₂⁴	1	4	yes	—
544	C₂×#379	C₂⁴	1	4	yes	—
545	C₂×#379	C₂⁴	1	4	yes	—
546	C₂×#379	C₂⁴	1	2	yes	—
547	C₂×#379	C₂⁴	1	2	yes	—
548	C₂×#379	C₂⁴	1	2	yes	—
549	C₂×#379	C₂⁴	1	2	yes	—
550	C₂×#379	C₂⁴	1	2	yes	—
551	C₂×#379	C₂⁴	1	2	yes	—
552	C₂×#379	C₂⁴	1	4	yes	—
553	C₂×#379	C₂⁴	1	4	yes	—
554	C₂×#379	C₂⁴	1	4	yes	—
555	#1819	C₂⁴	1	16	yes	complemented
556	#1819	C₂⁴	1	16	yes	complemented
557	#1819	C₂⁴	1	16	yes	complemented
558	#1781	C₂⁴	1	8	yes	—
559	#1781	C₂⁴	1	8	yes	—
560	#1781	C₂⁴	1	32	yes	—
561	#1781	C₂⁴	1	32	yes	—
562	#1781	C₂⁴	1	8	yes	—
563	#1781	C₂⁴	1	8	yes	—
564	#1781	C₂⁴	1	16	yes	complemented
565	#1781	C₂⁴	1	16	yes	complemented
566	#1781	C₂⁴	1	16	yes	complemented
567	#1781	C₂⁴	1	16	yes	complemented
568	#1781	C₂⁴	1	16	yes	complemented
569	#1304	C₂⁴	1	32	yes	complemented
570	#1304	C₂⁴	1	32	yes	complemented
571	C₂⁶	#120	1	2	yes	—
572	C₂⁶	#120	1	2	yes	—
573	C₂⁶	#120	1	2	yes	—
574	C₂⁶	#120	1	2	yes	—
575	C₂⁶	C₂²×D₄	1	1	yes	characteristic
576	C₂⁶	C₂²×D₄	1	1	yes	characteristic
577	C₂⁶	C₂²×D₄	1	1	yes	characteristic
578	C₂⁶	C₂²×D₄	1	1	yes	characteristic
579	C₂⁶	C₂²×D₄	1	4	yes	—
580	C₂⁶	C₂²×D₄	1	1	yes	characteristic
581	C₂⁶	C₂²×D₄	1	4	yes	—
582	C₂⁶	C₂²×D₄	1	2	yes	—
583	C₂⁶	C₂²×D₄	1	4	yes	—
584	C₂⁶	C₂²×D₄	1	1	yes	characteristic
585	C₂⁶	C₂²×D₄	1	1	yes	characteristic
586	C₂⁶	C₂²×D₄	1	2	yes	—
587	C₂⁶	C₂²×D₄	1	1	yes	characteristic
588	C₂⁶	C₂²×D₄	1	2	yes	—
589	C₂⁶	C₂²×D₄	1	2	yes	—
590	C₂⁶	C₂²×D₄	1	1	yes	characteristic
591	C₂⁶	C₂²×D₄	1	1	yes	characteristic
592	C₂⁶	C₂²×D₄	1	1	yes	characteristic
593	C₂⁶	C₂²×D₄	1	2	yes	—
594	C₂⁶	C₂²×D₄	1	1	yes	characteristic
595	C₂⁶	C₂²×D₄	1	2	yes	—
596	C₂⁶	C₂²×D₄	1	1	yes	characteristic
597	C₂⁶	C₂²×D₄	1	1	yes	characteristic
598	C₂⁶	C₂²×D₄	1	1	yes	characteristic
599	C₂⁶	C₂²×D₄	1	2	yes	—
600	C₂⁶	C₂²×D₄	1	1	yes	characteristic
601	C₂⁶	C₂²×D₄	1	1	yes	characteristic
602	C₂⁶	C₂²×D₄	1	2	yes	—
603	C₂⁶	C₂²×D₄	1	1	yes	characteristic
604	C₂⁶	C₂²×D₄	1	1	yes	characteristic
605	C₂⁶	C₂²×D₄	1	2	yes	complemented
606	C₂⁶	H(5,𝔽₂)	1	2	yes	—
607	C₂⁶	H(5,𝔽₂)	1	2	yes	—
608	C₂⁶	H(5,𝔽₂)	1	2	yes	—
609	C₂⁶	H(5,𝔽₂)	1	2	yes	—
610	C₂⁶	C₂⁵	1	1	yes	characteristic
611	C₂⁶	C₂⁵	1	1	yes	characteristic
612	C₂⁶	C₂⁵	1	1	yes	characteristic
613	C₂³×Q₈	C₂²×D₄	1	2	yes	complemented
614	C₂³×D₄	#120	1	2	yes	—
615	C₂³×D₄	#120	1	2	yes	—
616	C₂³×D₄	#120	1	2	yes	—
617	C₂³×D₄	#120	1	2	yes	—
618	C₂³×D₄	#120	1	4	yes	—
619	C₂³×D₄	#120	1	4	yes	—
620	C₂³×D₄	#120	1	4	yes	—
621	C₂³×D₄	#120	1	4	yes	—
622	C₂³×D₄	#120	1	2	yes	—
623	C₂³×D₄	#120	1	2	yes	—
624	C₂³×D₄	#120	1	4	yes	—
625	C₂³×D₄	#120	1	4	yes	—
626	C₂³×D₄	#120	1	4	yes	—
627	C₂³×D₄	#120	1	4	yes	—
628	C₂³×D₄	#120	1	2	yes	—
629	C₂³×D₄	#120	1	2	yes	—
630	C₂³×D₄	#120	1	4	yes	—
631	C₂³×D₄	#120	1	4	yes	—
632	C₂³×D₄	#120	1	4	yes	—
633	C₂³×D₄	#120	1	4	yes	—
634	C₂³×D₄	C₂²×D₄	1	2	yes	—
635	C₂³×D₄	C₂²×D₄	1	2	yes	—
636	C₂³×D₄	C₂²×D₄	1	4	yes	—
637	C₂³×D₄	C₂²×D₄	1	2	yes	—
638	C₂³×D₄	C₂²×D₄	1	2	yes	—
639	C₂³×D₄	C₂²×D₄	1	4	yes	—
640	C₂³×D₄	C₂²×D₄	1	4	yes	—
641	C₂³×D₄	C₂²×D₄	1	4	yes	—
642	C₂³×D₄	C₂²×D₄	1	4	yes	—
643	C₂³×D₄	C₂²×D₄	1	4	yes	—
644	C₂³×D₄	C₂²×D₄	1	4	yes	—
645	C₂³×D₄	C₂²×D₄	1	4	yes	—
646	C₂³×D₄	C₂²×D₄	1	2	yes	—
647	C₂³×D₄	C₂²×D₄	1	2	yes	—
648	C₂³×D₄	C₂²×D₄	1	2	yes	—
649	C₂³×D₄	C₂²×D₄	1	2	yes	—
650	C₂³×D₄	C₂²×D₄	1	4	yes	—
651	C₂³×D₄	C₂²×D₄	1	4	yes	—
652	C₂³×D₄	C₂²×D₄	1	2	yes	—
653	C₂³×D₄	C₂²×D₄	1	2	yes	—
654	C₂³×D₄	C₂²×D₄	1	2	yes	—
655	C₂³×D₄	C₂²×D₄	1	2	yes	—
656	C₂³×D₄	C₂²×D₄	1	2	yes	—
657	C₂³×D₄	C₂²×D₄	1	8	yes	—
658	C₂³×D₄	C₂²×D₄	1	8	yes	—
659	C₂³×D₄	C₂²×D₄	1	8	yes	—
660	C₂³×D₄	C₂²×D₄	1	2	yes	—
661	C₂³×D₄	C₂²×D₄	1	2	yes	—
662	C₂³×D₄	C₂²×D₄	1	2	yes	—
663	C₂³×D₄	C₂²×D₄	1	2	yes	—
664	C₂³×D₄	C₂²×D₄	1	2	yes	—
665	C₂³×D₄	C₂²×D₄	1	2	yes	—
666	C₂³×D₄	C₂²×D₄	1	2	yes	—
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	2	yes	—
673	C₂³×D₄	C₂²×D₄	1	2	yes	—
674	C₂³×D₄	C₂²×D₄	1	2	yes	—
675	C₂³×D₄	C₂²×D₄	1	2	yes	—
676	C₂³×D₄	C₂²×D₄	1	2	yes	—
677	C₂³×D₄	C₂²×D₄	1	2	yes	—
678	C₂³×D₄	C₂²×D₄	1	2	yes	—
679	C₂³×D₄	C₂²×D₄	1	2	yes	—
680	C₂³×D₄	C₂²×D₄	1	2	yes	—
681	C₂³×D₄	C₂²×D₄	1	2	yes	—
682	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
683	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
684	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
685	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
686	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
687	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
688	C₂³×D₄	C₂²×D₄	1	2	yes	complemented
689	C₂³×D₄	C₂⁵	1	8	yes	—
690	C₂³×D₄	C₂⁵	1	2	yes	—
691	C₂³×D₄	C₂⁵	1	2	yes	—
692	C₂³×D₄	C₂⁵	1	2	yes	—
693	C₂³×D₄	C₂⁵	1	2	yes	—
694	C₂³×D₄	C₂⁵	1	2	yes	—
695	C₂³×D₄	C₂⁵	1	2	yes	—
696	C₂³×D₄	C₂⁵	1	2	yes	—
697	C₂⁴×C₄	#120	1	2	yes	—
698	C₂⁴×C₄	#120	1	2	yes	—
699	C₂⁴×C₄	#120	1	2	yes	—
700	C₂⁴×C₄	#120	1	2	yes	—
701	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
702	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
703	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
704	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
705	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
706	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
707	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
708	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
709	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
710	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
711	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
712	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
713	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
714	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
715	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
716	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
717	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
718	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
719	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
720	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
721	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
722	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
723	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
724	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
725	C₂⁴×C₄	C₂²×D₄	1	2	yes	complemented
726	C₂×#123	C₂²×D₄	1	8	yes	complemented
727	C₂×#123	C₂²×D₄	1	8	yes	complemented
728	C₂×#120	#120	1	4	yes	—
729	C₂×#120	#120	1	8	yes	—
730	C₂×#120	#120	1	4	yes	—
731	C₂×#120	#120	1	8	yes	—
732	C₂×#120	#120	1	4	yes	—
733	C₂×#120	#120	1	4	yes	—
734	C₂×#120	C₂²×D₄	1	8	yes	—
735	C₂×#120	C₂²×D₄	1	8	yes	—
736	C₂×#120	C₂²×D₄	1	8	yes	—
737	C₂×#120	C₂²×D₄	1	8	yes	—
738	C₂×#120	C₂²×D₄	1	8	yes	—
739	C₂×#120	C₂²×D₄	1	8	yes	—
740	C₂×#120	C₂²×D₄	1	8	yes	—
741	C₂×#120	C₂²×D₄	1	8	yes	—
742	C₂×#120	C₂²×D₄	1	8	yes	complemented
743	C₂×#120	C₂²×D₄	1	8	yes	complemented
744	C₂×#120	C₂²×D₄	1	32	yes	complemented
745	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
746	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
747	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
748	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
749	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
750	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	complemented
751	C₂²×C₂²⋊C₄	#120	1	4	yes	—
752	C₂²×C₂²⋊C₄	#120	1	4	yes	—
753	C₂²×C₂²⋊C₄	#120	1	4	yes	—
754	C₂²×C₂²⋊C₄	#120	1	4	yes	—
755	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
756	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
757	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
758	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
759	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
760	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
761	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
762	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
763	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
764	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
765	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
766	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
767	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
768	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
769	C₂²×C₂²⋊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	4	yes	—
774	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
775	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	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×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
780	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
781	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
782	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
783	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
784	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
785	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
786	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
787	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
788	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
789	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
790	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	complemented
791	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
792	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
793	C₂²×C₂²⋊C₄	C₂⁵	1	2	yes	—
794	C₂²×C₄²	C₂²×D₄	1	2	yes	complemented
795	C₂²×C₄²	C₂²×D₄	1	2	yes	complemented
796	#386	C₂²×D₄	1	8	yes	—
797	#386	C₂²×D₄	1	8	yes	—
798	#386	C₂²×D₄	1	8	yes	—
799	#386	C₂²×D₄	1	8	yes	—
800	#386	C₂²×D₄	1	8	yes	complemented
801	#386	C₂²×D₄	1	8	yes	complemented
802	#386	C₂²×D₄	1	8	yes	complemented
803	#386	C₂²×D₄	1	8	yes	complemented
804	#386	C₂²×D₄	1	32	yes	complemented
805	#385	C₂²×D₄	1	32	yes	complemented
806	#379	C₂²×D₄	1	8	yes	—
807	#379	C₂²×D₄	1	4	yes	—
808	#379	C₂²×D₄	1	4	yes	—
809	#379	C₂²×D₄	1	8	yes	—
810	#379	C₂²×D₄	1	8	yes	—
811	#379	C₂²×D₄	1	4	yes	—
812	#379	C₂²×D₄	1	4	yes	—
813	#379	C₂²×D₄	1	4	yes	—
814	#379	C₂²×D₄	1	4	yes	—
815	#379	C₂²×D₄	1	32	yes	complemented
816	#379	C₂⁵	1	8	yes	—
817	#379	C₂⁵	1	8	yes	—
818	#379	C₂⁵	1	8	yes	—
819	#379	C₂⁵	1	4	yes	—
820	#379	C₂⁵	1	4	yes	—
821	C₂⁵	C₂×#120	1	2	yes	—
822	C₂⁵	C₂×#120	1	2	yes	—
823	C₂⁵	C₂×#120	1	1	yes	characteristic
824	C₂⁵	C₂×#120	1	1	yes	characteristic
825	C₂⁵	C₂×#120	1	4	yes	—
826	C₂⁵	C₂×#120	1	4	yes	—
827	C₂⁵	C₂×#120	1	4	yes	—
828	C₂⁵	C₂×#120	1	2	yes	—
829	C₂⁵	C₂×#120	1	1	yes	characteristic
830	C₂⁵	C₂×#120	1	1	yes	characteristic
831	C₂⁵	C₂×#120	1	1	yes	characteristic
832	C₂⁵	C₂×#120	1	1	yes	characteristic
833	C₂⁵	C₂×#120	1	2	yes	—
834	C₂⁵	C₂×#120	1	2	yes	—
835	C₂⁵	C₂×#120	1	1	yes	characteristic
836	C₂⁵	C₂×#120	1	4	yes	—
837	C₂⁵	C₂×#120	1	1	yes	characteristic
838	C₂⁵	C₂×#120	1	1	yes	characteristic
839	C₂⁵	C₂×#120	1	1	yes	characteristic
840	C₂⁵	C₂×#120	1	1	yes	characteristic
841	C₂⁵	C₂×#120	1	2	yes	—
842	C₂⁵	C₂×#120	1	4	yes	—
843	C₂⁵	C₂×#120	1	2	yes	—
844	C₂⁵	C₂×#120	1	1	yes	characteristic
845	C₂⁵	C₂×#120	1	1	yes	characteristic
846	C₂⁵	C₂×#120	1	2	yes	—
847	C₂⁵	C₂×#120	1	1	yes	characteristic
848	C₂⁵	C₂×#120	1	1	yes	characteristic
849	C₂⁵	C₂×#120	1	1	yes	characteristic
850	C₂⁵	C₂×#120	1	2	yes	—
851	C₂⁵	C₂×#120	1	2	yes	—
852	C₂⁵	C₂×#120	1	1	yes	characteristic
853	C₂⁵	C₂×#120	1	1	yes	characteristic
854	C₂⁵	C₂×#120	1	1	yes	characteristic
855	C₂⁵	C₂×#120	1	1	yes	characteristic
856	C₂⁵	#534	1	2	yes	—
857	C₂⁵	#534	1	2	yes	—
858	C₂⁵	#534	1	1	yes	characteristic
859	C₂⁵	#534	1	1	yes	characteristic
860	C₂⁵	#534	1	2	yes	—
861	C₂⁵	#534	1	2	yes	—
862	C₂⁵	#534	1	2	yes	—
863	C₂⁵	#534	1	1	yes	characteristic
864	C₂⁵	#534	1	1	yes	characteristic
865	C₂⁵	#534	1	2	yes	—
866	C₂⁵	D₄²	1	2	yes	—
867	C₂⁵	D₄²	1	2	yes	—
868	C₂⁵	D₄²	1	2	yes	—
869	C₂⁵	D₄²	1	2	yes	—
870	C₂⁵	D₄²	1	2	yes	—
871	C₂⁵	D₄²	1	2	yes	—
872	C₂⁵	D₄²	1	2	yes	—
873	C₂⁵	D₄²	1	2	yes	—
874	C₂⁵	D₄²	1	2	yes	—
875	C₂⁵	D₄²	1	2	yes	—
876	C₂⁵	D₄²	1	2	yes	—
877	C₂⁵	D₄²	1	2	yes	—
878	C₂⁵	D₄²	1	2	yes	—
879	C₂⁵	D₄²	1	2	yes	—
880	C₂⁵	D₄²	1	2	yes	—
881	C₂⁵	D₄²	1	2	yes	—
882	C₂⁵	D₄²	1	2	yes	—
883	C₂⁵	D₄²	1	2	yes	—
884	C₂⁵	D₄²	1	2	yes	—
885	C₂⁵	D₄²	1	2	yes	—
886	C₂⁵	D₄²	1	2	yes	—
887	C₂⁵	D₄²	1	2	yes	—
888	C₂⁵	D₄²	1	2	yes	—
889	C₂⁵	D₄²	1	2	yes	—
890	C₂⁵	D₄²	1	2	yes	—
891	C₂⁵	D₄²	1	2	yes	—
892	C₂⁵	D₄²	1	2	yes	—
893	C₂⁵	D₄²	1	2	yes	—
894	C₂⁵	D₄²	1	2	yes	—
895	C₂⁵	D₄²	1	2	yes	—
896	C₂⁵	D₄²	1	2	yes	—
897	C₂⁵	D₄²	1	2	yes	—
898	C₂⁵	C₂³×D₄	1	2	yes	—
899	C₂⁵	C₂³×D₄	1	1	yes	characteristic
900	C₂⁵	C₂³×D₄	1	1	yes	characteristic
901	C₂⁵	C₂³×D₄	1	1	yes	characteristic
902	C₂⁵	C₂³×D₄	1	1	yes	characteristic
903	C₂⁵	C₂³×D₄	1	1	yes	characteristic
904	C₂⁵	C₂³×D₄	1	1	yes	characteristic
905	C₂⁵	C₂³×D₄	1	2	yes	—
906	C₂⁵	C₂³×D₄	1	1	yes	characteristic
907	C₂⁵	C₂³×D₄	1	1	yes	characteristic
908	C₂⁵	C₂³×D₄	1	1	yes	characteristic
909	C₂⁵	C₂³×D₄	1	1	yes	characteristic
910	C₂⁵	C₂³×D₄	1	2	yes	—
911	C₂⁵	C₂³×D₄	1	2	yes	—
912	C₂⁵	C₂³×D₄	1	8	yes	—
913	C₂⁵	C₂³×D₄	1	2	yes	—
914	C₂⁵	C₂³×D₄	1	2	yes	—
915	C₂⁵	C₂³×D₄	1	2	yes	—
916	C₂⁵	C₂³×D₄	1	2	yes	—
917	C₂⁵	C₂³×D₄	1	1	yes	characteristic
918	C₂⁵	C₂³×D₄	1	2	yes	—
919	C₂⁵	C₂³×D₄	1	1	yes	characteristic
920	C₂⁵	C₂³×D₄	1	2	yes	—
921	C₂⁵	C₂³×D₄	1	1	yes	characteristic
922	C₂⁵	C₂³×D₄	1	2	yes	—
923	C₂⁵	C₂³×D₄	1	1	yes	characteristic
924	C₂⁵	C₂³×D₄	1	2	yes	—
925	C₂⁵	C₂³×D₄	1	1	yes	characteristic
926	C₂⁵	C₂³×D₄	1	2	yes	—
927	C₂⁵	C₂³×D₄	1	1	yes	characteristic
928	C₂⁵	C₂³×D₄	1	1	yes	characteristic
929	C₂⁵	C₂³×D₄	1	1	yes	characteristic
930	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
931	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
932	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
933	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
934	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
935	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
936	C₂⁵	C₂⁶	1	1	yes	characteristic
937	C₂²×D₄	B(4,𝔽₂)	1	16	yes	complemented
938	C₂²×D₄	C₂×#120	1	4	yes	—
939	C₂²×D₄	C₂×#120	1	4	yes	—
940	C₂²×D₄	C₂×#120	1	4	yes	—
941	C₂²×D₄	C₂×#120	1	4	yes	—
942	C₂²×D₄	C₂×#120	1	4	yes	—
943	C₂²×D₄	C₂×#120	1	4	yes	—
944	C₂²×D₄	C₂×#120	1	4	yes	—
945	C₂²×D₄	C₂×#120	1	4	yes	—
946	C₂²×D₄	C₂×#120	1	4	yes	—
947	C₂²×D₄	C₂×#120	1	4	yes	—
948	C₂²×D₄	C₂×#120	1	4	yes	—
949	C₂²×D₄	C₂×#120	1	4	yes	—
950	C₂²×D₄	C₂×#120	1	4	yes	—
951	C₂²×D₄	C₂×#120	1	4	yes	—
952	C₂²×D₄	C₂×#120	1	8	yes	—
953	C₂²×D₄	C₂×#120	1	4	yes	—
954	C₂²×D₄	C₂×#120	1	4	yes	—
955	C₂²×D₄	C₂×#120	1	4	yes	—
956	C₂²×D₄	C₂×#120	1	4	yes	—
957	C₂²×D₄	C₂×#120	1	8	yes	—
958	C₂²×D₄	C₂³×D₄	1	4	yes	—
959	C₂²×D₄	C₂³×D₄	1	4	yes	—
960	C₂²×D₄	C₂³×D₄	1	4	yes	—
961	C₂²×D₄	C₂³×D₄	1	4	yes	—
962	C₂²×D₄	C₂³×D₄	1	8	yes	—
963	C₂³×C₄	C₂×#120	1	2	yes	—
964	C₂³×C₄	C₂×#120	1	2	yes	—
965	C₂³×C₄	C₂×#120	1	4	yes	—
966	C₂³×C₄	C₂×#120	1	4	yes	—
967	C₂³×C₄	C₂×#120	1	4	yes	—
968	C₂³×C₄	C₂×#120	1	4	yes	—
969	C₂³×C₄	C₂×#120	1	2	yes	—
970	C₂³×C₄	C₂×#120	1	4	yes	—
971	C₂³×C₄	C₂×#120	1	4	yes	—
972	C₂³×C₄	C₂×#120	1	2	yes	—
973	C₂³×C₄	C₂×#120	1	4	yes	—
974	C₂³×C₄	C₂³×D₄	1	2	yes	—
975	C₂³×C₄	C₂³×D₄	1	2	yes	—
976	C₂³×C₄	C₂³×D₄	1	2	yes	—
977	C₂³×C₄	C₂³×D₄	1	2	yes	—
978	C₂³×C₄	C₂³×D₄	1	2	yes	—
979	C₂³×C₄	C₂³×D₄	1	8	yes	—
980	C₂³×C₄	C₂³×D₄	1	2	yes	—
981	C₂³×C₄	C₂³×D₄	1	2	yes	—
982	C₂³×C₄	C₂³×D₄	1	2	yes	—
983	C₂³×C₄	C₂³×D₄	1	2	yes	—
984	C₂³×C₄	C₂³×D₄	1	2	yes	—
985	C₂³×C₄	C₂³×D₄	1	2	yes	—
986	C₂³×C₄	C₂³×D₄	1	2	yes	—
987	C₂³×C₄	C₂³×D₄	1	2	yes	—
988	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
989	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
990	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
991	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
992	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
993	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
994	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
995	C₂×C₂²⋊C₄	C₂×#120	1	8	yes	—
996	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
997	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
998	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
999	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
1000	C₂⁴	#2403	1	1	yes	characteristic
1001	C₂⁴	#2403	1	2	yes	—
1002	C₂⁴	#2403	1	2	yes	—
1003	C₂⁴	#2403	1	1	yes	characteristic
1004	C₂⁴	#2403	1	1	yes	characteristic
1005	C₂⁴	#2403	1	1	yes	characteristic
1006	C₂⁴	#2403	1	2	yes	—
1007	C₂⁴	#2403	1	1	yes	characteristic
1008	C₂⁴	#2403	1	1	yes	characteristic
1009	C₂⁴	#2403	1	2	yes	—
1010	C₂⁴	#2403	1	2	yes	—
1011	C₂⁴	#2403	1	2	yes	—
1012	C₂⁴	#2403	1	2	yes	—
1013	C₂⁴	#2403	1	2	yes	—
1014	C₂⁴	#2403	1	2	yes	—
1015	C₂⁴	#2403	1	2	yes	—
1016	C₂⁴	#2403	1	2	yes	—
1017	C₂⁴	#2403	1	2	yes	—
1018	C₂⁴	#2403	1	2	yes	—
1019	C₂⁴	#2403	1	2	yes	—
1020	C₂⁴	#2403	1	2	yes	—
1021	C₂⁴	#2403	1	1	yes	characteristic
1022	C₂⁴	#2403	1	1	yes	characteristic
1023	C₂⁴	#2403	1	1	yes	characteristic
1024	C₂⁴	#2403	1	1	yes	characteristic
1025	C₂⁴	#2403	1	2	yes	—
1026	C₂⁴	#2403	1	2	yes	—
1027	C₂⁴	#2403	1	1	yes	characteristic
1028	C₂⁴	#2403	1	1	yes	characteristic
1029	C₂⁴	#2403	1	1	yes	characteristic
1030	C₂⁴	#2403	1	2	yes	—
1031	C₂⁴	#2403	1	2	yes	—
1032	C₂⁴	#2403	1	2	yes	—
1033	C₂⁴	#2403	1	2	yes	—
1034	C₂⁴	#2403	1	1	yes	characteristic
1035	C₂⁴	#2403	1	2	yes	—
1036	C₂⁴	#2403	1	1	yes	characteristic
1037	C₂⁴	#2403	1	1	yes	characteristic
1038	C₂⁴	#2403	1	2	yes	—
1039	C₂⁴	#2403	1	2	yes	—
1040	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	—
1041	C₂⁴	C₂×B(4,𝔽₂)	1	8	yes	complemented
1042	C₂⁴	C₂²×#120	1	1	yes	characteristic
1043	C₂⁴	C₂²×#120	1	1	yes	characteristic
1044	C₂⁴	C₂²×#120	1	1	yes	characteristic
1045	C₂⁴	C₂²×#120	1	1	yes	characteristic
1046	C₂⁴	C₂²×#120	1	1	yes	characteristic
1047	C₂⁴	C₂²×#120	1	2	yes	—
1048	C₂⁴	C₂²×#120	1	2	yes	—
1049	C₂⁴	C₂²×#120	1	1	yes	characteristic
1050	C₂⁴	C₂²×#120	1	4	yes	—
1051	C₂⁴	C₂²×#120	1	4	yes	—
1052	C₂⁴	C₂²×#120	1	1	yes	characteristic
1053	C₂⁴	C₂²×#120	1	1	yes	characteristic
1054	C₂⁴	C₂²×#120	1	1	yes	characteristic
1055	C₂⁴	C₂²×#120	1	1	yes	characteristic
1056	C₂⁴	C₂²×#120	1	1	yes	characteristic
1057	C₂⁴	C₂²×#120	1	1	yes	characteristic
1058	C₂⁴	C₂²×#120	1	1	yes	characteristic
1059	C₂⁴	C₂²×#120	1	2	yes	—
1060	C₂⁴	C₂²×#120	1	1	yes	characteristic
1061	C₂⁴	C₂²×#120	1	4	yes	—
1062	C₂⁴	C₂²×#120	1	1	yes	characteristic
1063	C₂⁴	C₂²×#120	1	1	yes	characteristic
1064	C₂⁴	C₂²×#120	1	1	yes	characteristic
1065	C₂⁴	C₂²×#120	1	1	yes	characteristic
1066	C₂⁴	C₂×#534	1	1	yes	characteristic
1067	C₂⁴	C₂×#534	1	1	yes	characteristic
1068	C₂⁴	C₂×#534	1	1	yes	characteristic
1069	C₂⁴	C₂×#534	1	1	yes	characteristic
1070	C₂⁴	C₂×#534	1	1	yes	characteristic
1071	C₂⁴	C₂×#534	1	2	yes	—
1072	C₂⁴	C₂×#534	1	2	yes	—
1073	C₂⁴	C₂×#534	1	1	yes	characteristic
1074	C₂⁴	C₂×#534	1	2	yes	—
1075	C₂⁴	C₂×D₄²	1	2	yes	—
1076	C₂⁴	C₂×D₄²	1	2	yes	—
1077	C₂⁴	C₂×D₄²	1	2	yes	—
1078	C₂⁴	C₂×D₄²	1	2	yes	—
1079	C₂⁴	C₂×D₄²	1	2	yes	—
1080	C₂⁴	C₂×D₄²	1	2	yes	—
1081	C₂⁴	C₂×D₄²	1	2	yes	—
1082	C₂⁴	C₂×D₄²	1	2	yes	—
1083	C₂⁴	C₂×D₄²	1	2	yes	—
1084	C₂⁴	C₂×D₄²	1	2	yes	—
1085	C₂⁴	C₂×D₄²	1	2	yes	—
1086	C₂⁴	C₂×D₄²	1	2	yes	—
1087	C₂⁴	C₂×D₄²	1	2	yes	—
1088	C₂⁴	C₂×D₄²	1	2	yes	—
1089	C₂⁴	C₂×D₄²	1	2	yes	—
1090	C₂⁴	C₂×D₄²	1	2	yes	—
1091	C₂⁴	C₂×D₄²	1	2	yes	—
1092	C₂⁴	C₂×D₄²	1	2	yes	—
1093	C₂⁴	C₂×D₄²	1	2	yes	—
1094	C₂⁴	C₂×D₄²	1	2	yes	—
1095	C₂⁴	C₂×D₄²	1	2	yes	—
1096	C₂⁴	C₂×D₄²	1	2	yes	—
1097	C₂⁴	C₂×D₄²	1	2	yes	—
1098	C₂⁴	C₂×D₄²	1	2	yes	—
1099	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1100	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1101	C₂⁴	C₂⁴×D₄	1	2	yes	—
1102	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1103	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
1104	C₂×D₄	C₂×B(4,𝔽₂)	1	16	yes	—
1105	C₂×D₄	C₂×B(4,𝔽₂)	1	16	yes	complemented
1106	C₂²×C₄	C₂×B(4,𝔽₂)	1	8	yes	complemented
1107	C₂²×C₄	C₂²×#120	1	4	yes	—
1108	C₂²×C₄	C₂²×#120	1	4	yes	—
1109	C₂²×C₄	C₂²×#120	1	4	yes	—
1110	C₂²×C₄	C₂²×#120	1	4	yes	—
1111	C₂²×C₄	C₂²×#120	1	4	yes	—
1112	C₂³	#23900	1	8	yes	—
1113	C₂³	#23900	1	8	yes	—
1114	C₂³	C₂×#2403	1	1	yes	characteristic
1115	C₂³	C₂×#2403	1	1	yes	characteristic
1116	C₂³	C₂×#2403	1	1	yes	characteristic
1117	C₂³	C₂×#2403	1	1	yes	characteristic
1118	C₂³	C₂×#2403	1	1	yes	characteristic
1119	C₂³	C₂×#2403	1	1	yes	characteristic
1120	C₂³	C₂×#2403	1	2	yes	—
1121	C₂³	C₂×#2403	1	2	yes	—
1122	C₂³	C₂×#2403	1	1	yes	characteristic
1123	C₂³	C₂×#2403	1	2	yes	—
1124	C₂³	C₂×#2403	1	2	yes	—
1125	C₂³	C₂×#2403	1	1	yes	characteristic
1126	C₂³	C₂×#2403	1	1	yes	characteristic
1127	C₂³	C₂×#2403	1	1	yes	characteristic
1128	C₂³	C₂×#2403	1	1	yes	characteristic
1129	C₂³	C₂×#2403	1	2	yes	—
1130	C₂³	C₂×#2403	1	2	yes	—
1131	C₂³	C₂×#2403	1	1	yes	characteristic
1132	C₂³	C₂²×B(4,𝔽₂)	1	8	yes	—
1133	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1134	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1135	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1136	C₂³	#60399	1	4	yes	—
1137	C₂³	C₂³×#120	1	1	yes	characteristic
1138	C₂³	C₂³×#120	1	1	yes	characteristic
1139	C₂³	C₂²×#534	1	1	yes	characteristic
1140	C₂³	C₂²×D₄²	1	2	yes	—
1141	C₂³	C₂²×D₄²	1	2	yes	—
1142	C₂×C₄	C₂²×B(4,𝔽₂)	1	8	yes	—
1143	C₂²	C₂×#23900	1	2	yes	—
1144	C₂²	C₂×#23900	1	2	yes	—
1145	C₂²	C₂×#23900	1	4	yes	—
1146	C₂²	C₂×#23900	1	4	yes	—
1147	C₂²	#6437629	1	2	yes	—
1148	C₂²	#6437632	1	2	yes	—
1149	C₂²	#6437632	1	2	yes	—
1150	C₂²	C₂²×#2403	1	1	yes	characteristic
1151	C₂²	C₂³×B(4,𝔽₂)	1	2	yes	—
1152	C₂²	C₂×#60399	1	2	yes	—
1153	C₂	C₂²×#23900	1	1	yes	characteristic
1154	C₂	C₂×#6437629	1	1	yes	characteristic
1155	C₂	C₂×#6437632	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂²×#2403
commutator, Frattini, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁷ ◁ G
LECS	G ▷ C₂⁵ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72317570	C₂	semidirect
2. #72317565	C₂	semidirect
3. #72317558	C₂	semidirect
4. #72261229	C₂	semidirect
5. #72261209	C₂	semidirect
6. #72249537	C₂	semidirect
7. #72238030	C₂	semidirect
8. #72237496	C₂	semidirect
9. #72237400	C₂	semidirect
10. C₂×#6470225	C₂	semidirect
11. #72236467	C₂	semidirect
12. C₂×#233541	C₂	semidirect
13. #72236431	C₂	semidirect
14. C₂×#201664	C₂	semidirect
15. C₂×#6628892	C₂	semidirect
16. #72233348	C₂	semidirect
17. #72233042	C₂	semidirect
18. #72232294	C₂	semidirect
19. C₂²×#32898	C₂	semidirect
20. C₂⁴×H(5,𝔽₂)	C₂²	semidirect
22. C₂²×#3484	C₂²	semidirect
23. #7733149	C₂²	semidirect
24. #7733085	C₂²	semidirect
25. #7721789	C₂²	semidirect
26. #7721725	C₂²	semidirect
27. #7644775	C₂²	semidirect
28. #7644629	C₂²	semidirect
29. #7641845	C₂²	semidirect
30. #7631581	C₂²	semidirect
31. #7631581	C₂²	semidirect
32. #7631390	C₂²	semidirect
33. #7631286	C₂²	semidirect
34. #7631286	C₂²	semidirect
35. #7631286	C₂²	semidirect
36. #7630502	C₂²	semidirect
37. #7630442	C₂²	semidirect
40. C₂×#34980	C₂²	semidirect
41. C₂×#34980	C₂²	semidirect
42. C₂×#34980	C₂²	semidirect
44. C₂²×#2403	C₂²	semidirect
45. #7626202	C₂²	semidirect
46. C₂×#34171	C₂²	semidirect
47. C₂×#33020	C₂²	semidirect
48. #6628892	C₂²	semidirect
49. #6628892	C₂²	semidirect
50. #6628892	C₂²	semidirect
51. C₂×#32900	C₂²	semidirect
52. C₂×#32898	C₂²	semidirect
53. C₂×#32898	C₂²	semidirect
54. C₂×#32898	C₂²	semidirect
55. C₂×#32898	C₂²	semidirect
56. C₂×#32898	C₂²	semidirect
57. C₂×#32898	C₂²	semidirect
58. C₂×#32898	C₂²	semidirect
59. #6470225	C₂²	semidirect
60. #6470225	C₂²	semidirect
61. C₂×#29634	C₂²	semidirect
62. C₂×#29634	C₂²	semidirect
63. C₂×#21746	C₂²	semidirect
64. C₂×#21746	C₂²	semidirect
65. C₂×#21746	C₂²	semidirect
66. C₂²×#1781	C₂²	semidirect
67. C₂²×#1781	C₂²	semidirect
68. C₂²×#1781	C₂²	semidirect
69. C₂²×#1781	C₂²	semidirect
70. C₂²×#1781	C₂²	semidirect
71. #245256	C₂²	semidirect
72. #245255	C₂²	semidirect
73. #245254	C₂²	semidirect
74. #245252	C₂²	semidirect
75. #245251	C₂²	semidirect
76. #245249	C₂²	semidirect
77. #245247	C₂²	semidirect
78. #245246	C₂²	semidirect
79. #245235	C₂²	semidirect
80. #245233	C₂²	semidirect
81. #245231	C₂²	semidirect
82. #245229	C₂²	semidirect
83. #245229	C₂²	semidirect
84. #245228	C₂²	semidirect
85. #245227	C₂²	semidirect
86. #245225	C₂²	semidirect
87. #233549	C₂²	semidirect
88. #233542	C₂²	semidirect
89. #233542	C₂²	semidirect
90. #233541	C₂²	semidirect
91. #233541	C₂²	semidirect
92. #233541	C₂²	semidirect
93. #233541	C₂²	semidirect
94. #233541	C₂²	semidirect
95. C₂×#10337	C₂²	semidirect
96. C₂×#10336	C₂²	semidirect
97. #201701	C₂²	semidirect
98. #201690	C₂²	semidirect
99. #201687	C₂²	semidirect
100. #201678	C₂²	semidirect
101. #201678	C₂²	semidirect
102. #201668	C₂²	semidirect
103. #201665	C₂²	semidirect
104. #201664	C₂²	semidirect
105. #201664	C₂²	semidirect
106. #201664	C₂²	semidirect
107. #201664	C₂²	semidirect
108. #201664	C₂²	semidirect
109. C₂×#9497	C₂²	semidirect
110. C₂×#9495	C₂²	semidirect
111. #188050	C₂²	semidirect
112. #188049	C₂²	semidirect
113. #188036	C₂²	semidirect
114. #188036	C₂²	semidirect
115. #188035	C₂²	semidirect
116. #188035	C₂²	semidirect
117. C₂×#8101	C₂²	semidirect
118. C₂×#8101	C₂²	semidirect
119. C₂³×H(5,𝔽₂)	D₄	semidirect
121. C₂³×H(5,𝔽₂)	C₂³	semidirect
122. C₂³×H(5,𝔽₂)	C₂³	semidirect
123. C₂³×H(5,𝔽₂)	C₂³	semidirect
124. C₂³×H(5,𝔽₂)	C₂³	semidirect
128. C₂×#3484	C₂³	semidirect
129. C₂×#3484	C₂³	semidirect
130. C₂²×#546	D₄	semidirect
131. C₂²×#546	D₄	semidirect
134. C₂²×D₄²	D₄	semidirect
135. C₂²×D₄²	D₄	semidirect
139. C₂²×#534	D₄	semidirect
140. C₂²×#534	D₄	semidirect
141. C₂²×#534	D₄	semidirect
143. C₂²×#534	C₂³	semidirect
144. C₂²×#534	C₂³	semidirect
145. C₂²×#525	D₄	semidirect
146. C₂³×#120	D₄	semidirect
147. C₂³×#120	D₄	semidirect
151. C₂²×#518	D₄	semidirect
152. C₂²×#518	C₂³	semidirect
153. #37436	C₂³	semidirect
154. #37232	C₂³	semidirect
155. #37117	C₂³	semidirect
156. #36967	C₂³	semidirect
157. #36721	C₂³	semidirect
158. #36717	C₂³	semidirect
159. #36717	C₂³	semidirect
160. #36715	C₂³	semidirect
161. #36714	C₂³	semidirect
162. C₂×#2849	D₄	semidirect
163. C₂×#2846	D₄	semidirect
164. #35616	C₂³	semidirect
165. #35527	C₂³	semidirect
166. #35527	C₂³	semidirect
167. #35512	C₂³	semidirect
168. #35512	C₂³	semidirect
169. #35512	C₂³	semidirect
170. #35451	C₂³	semidirect
171. #35446	C₂³	semidirect
172. #35355	C₂³	semidirect
173. #35355	C₂³	semidirect
174. #35354	C₂³	semidirect
175. #35347	C₂³	semidirect
176. #35347	C₂³	semidirect
177. #35347	C₂³	semidirect
178. #35346	C₂³	semidirect
179. #35346	C₂³	semidirect
180. #34992	C₂³	semidirect
181. #34992	C₂³	semidirect
182. #34980	D₄	semidirect
183. #34980	D₄	semidirect
184. #34980	D₄	semidirect
185. #34980	D₄	semidirect
194. #34980	C₂³	semidirect
195. #34980	C₂³	semidirect
196. #34980	C₂³	semidirect
197. #34980	C₂³	semidirect
198. #34980	C₂³	semidirect
199. #34980	C₂³	semidirect
200. C₂×#2405	D₄	semidirect
204. C₂×#2405	C₂³	semidirect
205. C₂×#2405	C₂³	semidirect
206. C₂×#2410	D₄	semidirect
207. C₂×#2403	D₄	semidirect
208. C₂×#2403	D₄	semidirect
209. C₂×#2403	D₄	semidirect
210. C₂×#2403	D₄	semidirect
211. C₂×#2403	D₄	semidirect
224. C₂×#2403	C₂³	semidirect
225. C₂×#2403	C₂³	semidirect
226. #34356	C₂³	semidirect
227. #34356	C₂³	semidirect
228. #34176	C₂³	semidirect
230. #34171	C₂³	semidirect
231. #34171	C₂³	semidirect
232. C₂×#2309	C₂³	semidirect
233. C₂×#2308	D₄	semidirect
234. C₂×#2308	C₂³	semidirect
235. C₂²×#386	D₄	semidirect
241. #33020	C₂³	semidirect
242. #32900	C₂³	semidirect
243. #32900	C₂³	semidirect
246. #32898	C₂³	semidirect
247. #32898	C₂³	semidirect
248. #32898	C₂³	semidirect
249. #32898	C₂³	semidirect
250. #32898	C₂³	semidirect
251. #29634	C₂³	semidirect
252. #29634	C₂³	semidirect
253. #21746	C₂³	semidirect
254. #21746	C₂³	semidirect
255. #21746	C₂³	semidirect
256. #21746	C₂³	semidirect
257. #21746	C₂³	semidirect
258. #21746	C₂³	semidirect
259. C₂×#1819	C₂³	semidirect
260. C₂×#1819	C₂³	semidirect
261. C₂×#1819	C₂³	semidirect
266. C₂×#1781	C₂³	semidirect
267. C₂×#1781	C₂³	semidirect
268. C₂×#1781	C₂³	semidirect
269. C₂×#1781	C₂³	semidirect
270. C₂×#1781	C₂³	semidirect
271. C₂×#1781	C₂³	semidirect
272. C₂×#1781	C₂³	semidirect
273. C₂×#1781	C₂³	semidirect
274. C₂×#1781	C₂³	semidirect
275. C₂×#1781	C₂³	semidirect
276. C₂×#1781	C₂³	semidirect
277. C₂×#1781	C₂³	semidirect
278. C₂×#1781	C₂³	semidirect
279. C₂×#1781	C₂³	semidirect
280. C₂×#1781	C₂³	semidirect
281. C₂×#1781	C₂³	semidirect
282. C₂×#1781	C₂³	semidirect
283. #10338	C₂³	semidirect
284. #10337	C₂³	semidirect
285. #10337	C₂³	semidirect
286. #10337	C₂³	semidirect
287. #10337	C₂³	semidirect
288. #10336	C₂³	semidirect
289. #10336	C₂³	semidirect
290. #10336	C₂³	semidirect
291. #9501	C₂³	semidirect
292. #9499	C₂³	semidirect
293. #9498	C₂³	semidirect
294. #9497	C₂³	semidirect
295. #9497	C₂³	semidirect
296. #9497	C₂³	semidirect
297. #9497	C₂³	semidirect
298. #9496	C₂³	semidirect
299. #9495	C₂³	semidirect
300. #9495	C₂³	semidirect
301. #9495	C₂³	semidirect
302. #9495	C₂³	semidirect
303. #8546	C₂³	semidirect
304. #8544	C₂³	semidirect
305. #8543	C₂³	semidirect
306. #8542	C₂³	semidirect
307. #8542	C₂³	semidirect
308. #8542	C₂³	semidirect
309. #8542	C₂³	semidirect
310. #8541	C₂³	semidirect
311. #8101	C₂³	semidirect
312. #8101	C₂³	semidirect
313. #8101	C₂³	semidirect
314. #8101	C₂³	semidirect
315. C₂×#1304	C₂³	semidirect
316. C₂×#1304	C₂³	semidirect
318. C₂⁷	C₂×D₄	semidirect
319. C₂⁷	C₂×D₄	semidirect
323. C₂²×H(5,𝔽₂)	C₂⁴	semidirect
324. C₂³×#41	C₂×D₄	semidirect
325. C₂³×#41	C₂×D₄	semidirect
326. C₂³×#41	C₂×D₄	semidirect
343. C₂⁴×D₄	C₂×D₄	semidirect
344. C₂⁴×D₄	C₂×D₄	semidirect
345. C₂⁴×D₄	C₂×D₄	semidirect
346. C₂⁴×D₄	C₂×D₄	semidirect
347. C₂⁴×D₄	C₂×D₄	semidirect
348. C₂⁴×D₄	C₂×D₄	semidirect
349. C₂⁴×D₄	C₂×D₄	semidirect
350. C₂⁴×D₄	C₂×D₄	semidirect
351. C₂⁴×D₄	C₂×D₄	semidirect
352. C₂⁴×D₄	C₂×D₄	semidirect
353. C₂⁴×D₄	C₂×D₄	semidirect
354. C₂⁴×D₄	C₂×D₄	semidirect
355. C₂⁴×D₄	C₂×D₄	semidirect
356. C₂⁴×D₄	C₂×D₄	semidirect
372. C₂⁵×C₄	C₂×D₄	semidirect
373. C₂⁵×C₄	C₂×D₄	semidirect
374. C₂×#534	C₂×D₄	semidirect
375. C₂×#534	C₂×D₄	semidirect
376. C₂×#534	C₂×D₄	semidirect
377. C₂×#534	C₂⁴	semidirect
378. C₂×#534	C₂⁴	semidirect
379. C₂²×#127	C₂×D₄	semidirect
381. C₂²×#124	C₂×D₄	semidirect
383. C₂²×#123	C₂×D₄	semidirect
384. C₂²×#123	C₂×D₄	semidirect
385. C₂²×#123	C₂×D₄	semidirect
386. C₂²×#123	C₂×D₄	semidirect
387. C₂²×#123	C₂×D₄	semidirect
388. C₂²×#123	C₂×D₄	semidirect
390. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
391. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
392. C₂²×#121	C₂×D₄	semidirect
393. C₂²×#121	C₂×D₄	semidirect
394. C₂²×#121	C₂×D₄	semidirect
395. C₂²×#121	C₂×D₄	semidirect
396. C₂²×#121	C₂×D₄	semidirect
397. C₂²×#121	C₂×D₄	semidirect
398. C₂²×#121	C₂×D₄	semidirect
399. C₂²×#121	C₂×D₄	semidirect
400. C₂²×#121	C₂×D₄	semidirect
401. C₂²×#121	C₂×D₄	semidirect
414. C₂²×#120	C₂×D₄	semidirect
415. C₂²×#120	C₂×D₄	semidirect
416. C₂²×#120	C₂×D₄	semidirect
417. C₂²×#120	C₂×D₄	semidirect
418. C₂²×#120	C₂×D₄	semidirect
419. C₂²×#120	C₂×D₄	semidirect
420. C₂²×#120	C₂×D₄	semidirect
421. C₂²×#120	C₂×D₄	semidirect
422. C₂²×#120	C₂×D₄	semidirect
423. C₂²×#120	C₂×D₄	semidirect
424. C₂²×#120	C₂×D₄	semidirect
425. C₂²×#120	C₂×D₄	semidirect
426. C₂²×#120	C₂×D₄	semidirect
427. C₂²×#120	C₂×D₄	semidirect
428. C₂²×#120	C₂×D₄	semidirect
429. C₂²×#120	C₂×D₄	semidirect
430. C₂²×#120	C₂×D₄	semidirect
431. C₂²×#120	C₂×D₄	semidirect
439. C₂×#518	C₂⁴	semidirect
440. C₂²×C₄×D₄	C₂×D₄	semidirect
441. C₂²×C₄×D₄	C₂×D₄	semidirect
442. C₂²×C₄×D₄	C₂×D₄	semidirect
443. C₂²×C₄×D₄	C₂×D₄	semidirect
444. C₂²×C₄×D₄	C₂×D₄	semidirect
445. C₂²×C₄×D₄	C₂×D₄	semidirect
446. C₂²×C₄×D₄	C₂×D₄	semidirect
447. C₂²×C₄×D₄	C₂×D₄	semidirect
448. C₂²×#117	C₂×D₄	semidirect
453. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
454. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
455. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
456. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
457. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
458. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
459. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
460. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
464. #2849	C₂×D₄	semidirect
465. #2849	C₂×D₄	semidirect
466. #2846	C₂×D₄	semidirect
467. #2846	C₂×D₄	semidirect
468. #2483	C₂⁴	semidirect
469. #2410	C₂×D₄	semidirect
470. #2410	C₂×D₄	semidirect
471. #2405	C₂×D₄	semidirect
472. #2405	C₂×D₄	semidirect
473. #2405	C₂×D₄	semidirect
474. #2405	C₂×D₄	semidirect
475. #2405	C₂×D₄	semidirect
481. #2405	C₂⁴	semidirect
482. #2405	C₂⁴	semidirect
483. #2405	C₂⁴	semidirect
484. #2405	C₂⁴	semidirect
485. #2403	C₂×D₄	semidirect
486. #2403	C₂×D₄	semidirect
487. #2403	C₂×D₄	semidirect
488. #2403	C₂×D₄	semidirect
489. #2403	C₂×D₄	semidirect
490. #2403	C₂×D₄	semidirect
491. #2403	C₂×D₄	semidirect
492. #2403	C₂×D₄	semidirect
493. #2403	C₂×D₄	semidirect
494. #2403	C₂×D₄	semidirect
495. #2403	C₂×D₄	semidirect
496. #2403	C₂×D₄	semidirect
497. #2403	C₂×D₄	semidirect
509. #2403	C₂⁴	semidirect
510. #2403	C₂⁴	semidirect
511. #2403	C₂⁴	semidirect
512. #2312	C₂⁴	semidirect
513. #2312	C₂⁴	semidirect
515. #2309	C₂⁴	semidirect
516. #2308	C₂×D₄	semidirect
517. #2308	C₂×D₄	semidirect
518. #2308	C₂×D₄	semidirect
520. #2308	C₂⁴	semidirect
521. C₂×#386	C₂×D₄	semidirect
522. C₂×#386	C₂×D₄	semidirect
523. C₂×#386	C₂×D₄	semidirect
524. C₂×#386	C₂×D₄	semidirect
525. C₂×#386	C₂×D₄	semidirect
526. C₂×#386	C₂×D₄	semidirect
527. C₂×#386	C₂×D₄	semidirect
528. C₂×#386	C₂×D₄	semidirect
529. C₂×#385	C₂×D₄	semidirect
530. C₂×#379	C₂×D₄	semidirect
531. C₂×#379	C₂×D₄	semidirect
532. C₂×#379	C₂×D₄	semidirect
533. C₂×#379	C₂×D₄	semidirect
534. C₂×#379	C₂×D₄	semidirect
535. C₂×#379	C₂×D₄	semidirect
536. C₂×#379	C₂×D₄	semidirect
537. C₂×#379	C₂×D₄	semidirect
538. C₂×#379	C₂×D₄	semidirect
539. C₂×#379	C₂×D₄	semidirect
555. #1819	C₂⁴	semidirect
556. #1819	C₂⁴	semidirect
557. #1819	C₂⁴	semidirect
564. #1781	C₂⁴	semidirect
565. #1781	C₂⁴	semidirect
566. #1781	C₂⁴	semidirect
567. #1781	C₂⁴	semidirect
568. #1781	C₂⁴	semidirect
569. #1304	C₂⁴	semidirect
570. #1304	C₂⁴	semidirect
605. C₂⁶	C₂²×D₄	semidirect
613. C₂³×Q₈	C₂²×D₄	semidirect
682. C₂³×D₄	C₂²×D₄	semidirect
683. C₂³×D₄	C₂²×D₄	semidirect
684. C₂³×D₄	C₂²×D₄	semidirect
685. C₂³×D₄	C₂²×D₄	semidirect
686. C₂³×D₄	C₂²×D₄	semidirect
687. C₂³×D₄	C₂²×D₄	semidirect
688. C₂³×D₄	C₂²×D₄	semidirect
721. C₂⁴×C₄	C₂²×D₄	semidirect
722. C₂⁴×C₄	C₂²×D₄	semidirect
723. C₂⁴×C₄	C₂²×D₄	semidirect
724. C₂⁴×C₄	C₂²×D₄	semidirect
725. C₂⁴×C₄	C₂²×D₄	semidirect
726. C₂×#123	C₂²×D₄	semidirect
727. C₂×#123	C₂²×D₄	semidirect
742. C₂×#120	C₂²×D₄	semidirect
743. C₂×#120	C₂²×D₄	semidirect
744. C₂×#120	C₂²×D₄	semidirect
745. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
746. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
747. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
748. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
749. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
750. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
781. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
782. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
783. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
784. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
785. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
786. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
787. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
788. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
789. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
790. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
794. C₂²×C₄²	C₂²×D₄	semidirect
795. C₂²×C₄²	C₂²×D₄	semidirect
800. #386	C₂²×D₄	semidirect
801. #386	C₂²×D₄	semidirect
802. #386	C₂²×D₄	semidirect
803. #386	C₂²×D₄	semidirect
804. #386	C₂²×D₄	semidirect
805. #385	C₂²×D₄	semidirect
815. #379	C₂²×D₄	semidirect
937. C₂²×D₄	B(4,𝔽₂)	semidirect
1041. C₂⁴	C₂×B(4,𝔽₂)	semidirect
1105. C₂×D₄	C₂×B(4,𝔽₂)	semidirect
1106. C₂²×C₄	C₂×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
#72317570	2
#72317565	2
#72317558	2
#72261229	2
#72261209	2
#72249537	2
#72238030	2
#72237496	2
#72237400	2
C₂×#6470225	2
#72236467	2
C₂×#233541	2
#72236431	2
C₂×#201664	2
C₂×#6628892	2
#72233348	2
#72233042	2
#72232294	2
C₂²×#32898	2