Subgroups — C₂×#72278109 #72296471

Order 2048.

At least 10416 conjugacy classes of subgroups; only the 9728 normal subgroups are shown.

The subgroup lattice has 1054 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#158317	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#155121	C₂	1	2	yes	maximal, complemented
3	C₂×#159029	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#155161	C₂	1	2	yes	maximal, complemented
5	C₂×#156815	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#156826	C₂	1	2	yes	maximal, complemented
7	C₂×#156826	C₂	1	2	yes	maximal, complemented
8	C₂×#155065	C₂	1	2	yes	maximal, complemented
9	C₂×#155065	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#14811	C₂	1	1	yes	maximal, characteristic, complemented
11	#72278109	C₂	1	32	yes	maximal, direct product factor
12	C₂²×#15257	C₂	1	2	yes	maximal, complemented
13	C₂×#154671	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂²×#14716	C₂	1	2	yes	maximal, complemented
15	C₂²×#13967	C₂	1	2	yes	maximal, complemented
16	C₂×#156688	C₂	1	2	yes	maximal, complemented
17	C₂×#156706	C₂	1	2	yes	maximal, complemented
18	C₂²×#13867	C₂	1	2	yes	maximal, complemented
19	C₂²×#14715	C₂	1	2	yes	maximal, complemented
20	C₂³×#2403	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁶×D₄	C₂²	1	2	yes	—
22	C₂⁴×#121	C₂²	1	2	yes	complemented
23	C₂⁴×#120	C₂²	1	2	yes	—
24	C₂⁴×#120	C₂²	1	2	yes	—
25	C₂⁴×#120	C₂²	1	1	yes	characteristic
26	C₂⁴×#120	C₂²	1	2	yes	complemented
27	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
28	C₂⁵×C₂²⋊C₄	C₂²	1	2	yes	complemented
29	C₂²×#2403	C₂²	1	16	yes	complemented
30	C₂³×#394	C₂²	1	1	yes	characteristic, complemented
31	C₂³×#392	C₂²	1	2	yes	—
32	C₂³×#392	C₂²	1	1	yes	characteristic
33	C₂³×#392	C₂²	1	2	yes	—
34	C₂³×#392	C₂²	1	2	yes	—
35	C₂³×#392	C₂²	1	1	yes	characteristic
36	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
37	C₂³×#392	C₂²	1	1	yes	characteristic, complemented
38	C₂³×#392	C₂²	1	2	yes	complemented
39	C₂³×#392	C₂²	1	2	yes	complemented
40	C₂³×#390	C₂²	1	1	yes	characteristic, complemented
41	C₂³×#386	C₂²	1	2	yes	—
42	C₂³×#386	C₂²	1	2	yes	—
43	C₂³×#386	C₂²	1	2	yes	—
44	C₂³×#386	C₂²	1	2	yes	—
45	C₂³×#386	C₂²	1	2	yes	complemented
46	C₂³×#386	C₂²	1	2	yes	complemented
47	C₂³×#386	C₂²	1	2	yes	complemented
48	C₂³×#386	C₂²	1	2	yes	complemented
49	C₂³×#386	C₂²	1	2	yes	complemented
50	C₂³×#386	C₂²	1	2	yes	complemented
51	C₂³×#379	C₂²	1	1	yes	characteristic
52	C₂³×#379	C₂²	1	2	yes	—
53	C₂³×#379	C₂²	1	1	yes	characteristic
54	C₂³×#379	C₂²	1	2	yes	complemented
55	C₂³×#379	C₂²	1	2	yes	complemented
56	C₂×#15257	C₂²	1	32	yes	complemented
57	C₂×#14811	C₂²	1	16	yes	complemented
58	C₂×#14716	C₂²	1	32	yes	complemented
59	C₂×#14715	C₂²	1	32	yes	complemented
60	C₂×#13967	C₂²	1	32	yes	complemented
61	C₂×#13867	C₂²	1	32	yes	complemented
62	C₂²×#1440	C₂²	1	2	yes	complemented
63	C₂²×#1440	C₂²	1	2	yes	complemented
64	C₂²×#1439	C₂²	1	2	yes	complemented
65	C₂²×#1439	C₂²	1	2	yes	complemented
66	C₂²×#1439	C₂²	1	2	yes	complemented
67	C₂²×#1439	C₂²	1	2	yes	complemented
68	C₂²×#1439	C₂²	1	2	yes	complemented
69	C₂²×#1439	C₂²	1	2	yes	complemented
70	C₂²×#1439	C₂²	1	1	yes	characteristic, complemented
71	C₂²×#1439	C₂²	1	1	yes	characteristic, complemented
72	C₂²×#1439	C₂²	1	2	yes	complemented
73	C₂²×#1439	C₂²	1	2	yes	complemented
74	C₂²×#1439	C₂²	1	2	yes	complemented
75	C₂²×#1438	C₂²	1	2	yes	—
76	C₂²×#1438	C₂²	1	2	yes	—
77	C₂²×#1438	C₂²	1	2	yes	—
78	C₂²×#1438	C₂²	1	2	yes	—
79	C₂²×#1438	C₂²	1	2	yes	complemented
80	C₂²×#1438	C₂²	1	2	yes	complemented
81	C₂²×#1438	C₂²	1	2	yes	complemented
82	C₂²×#1438	C₂²	1	2	yes	complemented
83	C₂²×#1438	C₂²	1	2	yes	complemented
84	C₂²×#1438	C₂²	1	2	yes	complemented
85	C₂²×#1438	C₂²	1	2	yes	complemented
86	C₂²×#1438	C₂²	1	2	yes	complemented
87	C₂²×#1438	C₂²	1	2	yes	complemented
88	C₂²×#1438	C₂²	1	2	yes	complemented
89	C₂²×#1438	C₂²	1	2	yes	complemented
90	C₂²×#1438	C₂²	1	2	yes	complemented
91	C₂²×#1438	C₂²	1	1	yes	characteristic, complemented
92	C₂²×#1437	C₂²	1	2	yes	complemented
93	C₂²×#1437	C₂²	1	2	yes	complemented
94	C₂²×#1434	C₂²	1	1	yes	characteristic, complemented
95	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
96	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
97	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
98	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
99	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
100	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
101	#159029	C₂²	1	16	yes	complemented
102	#158317	C₂²	1	16	yes	complemented
103	#156826	C₂²	1	32	yes	complemented
104	#156826	C₂²	1	32	yes	complemented
105	#156815	C₂²	1	16	yes	complemented
106	#156706	C₂²	1	32	yes	complemented
107	#156688	C₂²	1	32	yes	complemented
108	#155161	C₂²	1	32	yes	complemented
109	#155121	C₂²	1	32	yes	complemented
110	#155065	C₂²	1	32	yes	complemented
111	#155065	C₂²	1	16	yes	complemented
112	#154671	C₂²	1	16	yes	complemented
113	C₂×#7557	C₂²	1	1	yes	characteristic, complemented
114	C₂×#7557	C₂²	1	2	yes	complemented
115	C₂×#7556	C₂²	1	2	yes	complemented
116	C₂×#7556	C₂²	1	2	yes	complemented
117	C₂×#7556	C₂²	1	2	yes	complemented
118	C₂×#7556	C₂²	1	2	yes	complemented
119	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
120	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
121	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
122	C₂×#7555	C₂²	1	2	yes	complemented
123	C₂×#7555	C₂²	1	1	yes	characteristic, complemented
124	C₂×#7555	C₂²	1	2	yes	complemented
125	C₂×#7555	C₂²	1	2	yes	complemented
126	C₂×#7555	C₂²	1	2	yes	complemented
127	C₂⁸	C₂³	1	2	yes	—
128	C₂⁸	C₂³	1	1	yes	characteristic
129	C₂⁵×D₄	C₂³	1	2	yes	—
130	C₂⁵×D₄	C₂³	1	2	yes	—
131	C₂⁵×D₄	C₂³	1	2	yes	—
132	C₂⁵×D₄	C₂³	1	2	yes	—
133	C₂⁵×D₄	C₂³	1	2	yes	—
134	C₂⁵×D₄	C₂³	1	2	yes	—
135	C₂⁵×D₄	C₂³	1	1	yes	characteristic
136	C₂⁵×D₄	C₂³	1	2	yes	—
137	C₂⁵×D₄	C₂³	1	1	yes	characteristic
138	C₂⁵×D₄	C₂³	1	1	yes	characteristic
139	C₂⁵×D₄	C₂³	1	2	yes	—
140	C₂⁵×D₄	C₂³	1	16	yes	—
141	C₂⁶×C₄	C₂³	1	2	yes	—
142	C₂⁶×C₄	C₂³	1	2	yes	—
143	C₂⁶×C₄	C₂³	1	2	yes	—
144	C₂³×#121	C₂³	1	16	yes	complemented
145	C₂³×#120	D₄	1	32	yes	complemented
146	C₂³×#120	C₂³	1	16	yes	—
147	C₂³×#120	C₂³	1	16	yes	—
148	C₂³×#120	C₂³	1	8	yes	—
149	C₂³×#120	C₂³	1	16	yes	complemented
150	C₂³×C₄×D₄	C₂³	1	8	yes	complemented
151	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
153	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
154	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
155	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
156	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
157	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
158	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
159	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
160	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
166	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
179	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
186	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
187	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
190	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂⁴×C₂²⋊C₄	C₂³	1	16	yes	complemented
192	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
193	C₂²×#394	C₂³	1	8	yes	complemented
194	C₂²×#392	D₄	1	16	yes	complemented
195	C₂²×#392	C₂³	1	16	yes	—
196	C₂²×#392	C₂³	1	16	yes	—
197	C₂²×#392	C₂³	1	8	yes	—
198	C₂²×#392	C₂³	1	16	yes	—
199	C₂²×#392	C₂³	1	8	yes	—
200	C₂²×#392	C₂³	1	8	yes	complemented
201	C₂²×#392	C₂³	1	16	yes	complemented
202	C₂²×#392	C₂³	1	8	yes	complemented
203	C₂²×#392	C₂³	1	16	yes	complemented
204	C₂²×#390	C₂³	1	8	yes	complemented
205	C₂²×#386	C₂³	1	16	yes	—
206	C₂²×#386	C₂³	1	16	yes	—
207	C₂²×#386	C₂³	1	16	yes	—
208	C₂²×#386	C₂³	1	16	yes	—
209	C₂²×#386	C₂³	1	16	yes	complemented
210	C₂²×#386	C₂³	1	16	yes	complemented
211	C₂²×#386	C₂³	1	16	yes	complemented
212	C₂²×#386	C₂³	1	16	yes	complemented
213	C₂²×#386	C₂³	1	16	yes	complemented
214	C₂²×#386	C₂³	1	16	yes	complemented
215	C₂²×#379	C₂³	1	8	yes	—
216	C₂²×#379	C₂³	1	8	yes	—
217	C₂²×#379	C₂³	1	16	yes	—
218	C₂²×#379	C₂³	1	16	yes	complemented
219	C₂²×#379	C₂³	1	16	yes	complemented
220	C₂³×#95	C₂³	1	1	yes	characteristic
221	C₂³×#95	C₂³	1	2	yes	—
222	C₂³×#95	C₂³	1	2	yes	—
223	C₂³×#95	C₂³	1	2	yes	—
224	C₂³×#95	C₂³	1	2	yes	—
225	C₂³×#95	C₂³	1	1	yes	characteristic
226	C₂³×#95	C₂³	1	2	yes	—
227	C₂³×#95	C₂³	1	2	yes	—
228	C₂³×#95	C₂³	1	2	yes	—
229	C₂³×#95	C₂³	1	2	yes	—
230	C₂³×#95	C₂³	1	2	yes	—
231	C₂³×#95	C₂³	1	2	yes	—
232	C₂³×#95	C₂³	1	2	yes	—
233	C₂³×#95	C₂³	1	2	yes	—
234	C₂³×#95	C₂³	1	2	yes	—
235	C₂³×#95	C₂³	1	1	yes	characteristic
236	C₂³×#95	C₂³	1	2	yes	—
237	C₂³×#95	C₂³	1	2	yes	—
238	C₂³×#95	C₂³	1	1	yes	characteristic
239	C₂³×#95	C₂³	1	2	yes	—
240	C₂³×#95	C₂³	1	2	yes	—
241	C₂³×#95	C₂³	1	2	yes	—
242	C₂³×#95	C₂³	1	2	yes	—
243	C₂³×#95	C₂³	1	2	yes	—
244	C₂³×#95	C₂³	1	2	yes	—
245	C₂³×#95	C₂³	1	2	yes	—
246	C₂³×#95	C₂³	1	1	yes	characteristic
247	C₂³×#95	C₂³	1	2	yes	—
248	C₂³×#95	C₂³	1	2	yes	—
249	C₂³×#95	C₂³	1	2	yes	—
250	C₂×#1440	C₂³	1	16	yes	complemented
251	C₂×#1440	C₂³	1	16	yes	complemented
252	C₂×#1439	C₂³	1	16	yes	complemented
253	C₂×#1439	C₂³	1	8	yes	complemented
254	C₂×#1439	C₂³	1	8	yes	complemented
255	C₂×#1439	C₂³	1	16	yes	complemented
256	C₂×#1439	C₂³	1	16	yes	complemented
257	C₂×#1439	C₂³	1	16	yes	complemented
258	C₂×#1439	C₂³	1	16	yes	complemented
259	C₂×#1439	C₂³	1	16	yes	complemented
260	C₂×#1439	C₂³	1	16	yes	complemented
261	C₂×#1439	C₂³	1	16	yes	complemented
262	C₂×#1439	C₂³	1	16	yes	complemented
263	C₂×#1438	D₄	1	32	yes	complemented
264	C₂×#1438	D₄	1	32	yes	complemented
265	C₂×#1438	C₂³	1	16	yes	—
266	C₂×#1438	C₂³	1	16	yes	—
267	C₂×#1438	C₂³	1	16	yes	—
268	C₂×#1438	C₂³	1	16	yes	—
269	C₂×#1438	C₂³	1	16	yes	complemented
270	C₂×#1438	C₂³	1	16	yes	complemented
271	C₂×#1438	C₂³	1	16	yes	complemented
272	C₂×#1438	C₂³	1	16	yes	complemented
273	C₂×#1438	C₂³	1	16	yes	complemented
274	C₂×#1438	C₂³	1	16	yes	complemented
275	C₂×#1438	C₂³	1	16	yes	complemented
276	C₂×#1438	C₂³	1	16	yes	complemented
277	C₂×#1438	C₂³	1	16	yes	complemented
278	C₂×#1438	C₂³	1	16	yes	complemented
279	C₂×#1438	C₂³	1	16	yes	complemented
280	C₂×#1438	C₂³	1	16	yes	complemented
281	C₂×#1438	C₂³	1	8	yes	complemented
282	C₂×#1437	C₂³	1	16	yes	complemented
283	C₂×#1437	C₂³	1	16	yes	complemented
284	C₂×#1434	C₂³	1	8	yes	complemented
285	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
286	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
287	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
288	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
289	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
290	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
291	#7557	C₂³	1	8	yes	complemented
292	#7557	C₂³	1	16	yes	complemented
293	#7556	C₂³	1	16	yes	complemented
294	#7556	C₂³	1	16	yes	complemented
295	#7556	C₂³	1	16	yes	complemented
296	#7556	C₂³	1	16	yes	complemented
297	#7555	C₂³	1	16	yes	complemented
298	#7555	C₂³	1	16	yes	complemented
299	#7555	C₂³	1	16	yes	complemented
300	#7555	C₂³	1	16	yes	complemented
301	#7555	C₂³	1	8	yes	complemented
302	#7555	C₂³	1	8	yes	complemented
303	#7555	C₂³	1	8	yes	complemented
304	#7555	C₂³	1	8	yes	complemented
305	C₂⁷	C₂×D₄	1	16	yes	—
306	C₂⁷	#41	1	8	yes	—
307	C₂⁷	C₂⁴	1	1	yes	characteristic
308	C₂⁷	C₂⁴	1	2	yes	—
309	C₂⁷	C₂⁴	1	1	yes	characteristic
310	C₂⁷	C₂⁴	1	2	yes	—
311	C₂⁷	C₂⁴	1	2	yes	—
312	C₂⁷	C₂⁴	1	8	yes	—
313	C₂⁷	C₂⁴	1	4	yes	—
314	C₂⁴×D₄	C₂×D₄	1	16	yes	—
315	C₂⁴×D₄	C₂×D₄	1	16	yes	—
316	C₂⁴×D₄	C₂×D₄	1	16	yes	—
317	C₂⁴×D₄	C₂×D₄	1	8	yes	—
318	C₂⁴×D₄	C₂×D₄	1	16	yes	—
319	C₂⁴×D₄	C₂×D₄	1	16	yes	—
320	C₂⁴×D₄	C₂×D₄	1	16	yes	—
321	C₂⁴×D₄	#41	1	16	yes	—
322	C₂⁴×D₄	C₂⁴	1	8	yes	—
323	C₂⁴×D₄	C₂⁴	1	8	yes	—
324	C₂⁴×D₄	C₂⁴	1	8	yes	—
325	C₂⁴×D₄	C₂⁴	1	8	yes	—
326	C₂⁴×D₄	C₂⁴	1	8	yes	—
327	C₂⁴×D₄	C₂⁴	1	8	yes	—
328	C₂⁴×D₄	C₂⁴	1	4	yes	—
329	C₂⁴×D₄	C₂⁴	1	8	yes	—
330	C₂⁴×D₄	C₂⁴	1	4	yes	—
331	C₂⁴×D₄	C₂⁴	1	8	yes	—
332	C₂⁴×D₄	C₂⁴	1	4	yes	—
333	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
334	C₂⁵×C₄	C₂⁴	1	2	yes	—
335	C₂⁵×C₄	C₂⁴	1	2	yes	—
336	C₂⁵×C₄	C₂⁴	1	2	yes	—
337	C₂⁵×C₄	C₂⁴	1	2	yes	—
338	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
339	C₂⁵×C₄	C₂⁴	1	2	yes	—
340	C₂⁵×C₄	C₂⁴	1	2	yes	—
341	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
342	C₂⁵×C₄	C₂⁴	1	2	yes	—
343	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
344	C₂⁵×C₄	C₂⁴	1	2	yes	—
345	C₂⁵×C₄	C₂⁴	1	2	yes	—
346	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
347	C₂⁵×C₄	C₂⁴	1	8	yes	—
348	C₂⁵×C₄	C₂⁴	1	8	yes	—
349	C₂⁵×C₄	C₂⁴	1	8	yes	—
350	C₂²×#120	C₂×D₄	1	128	yes	complemented
351	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
352	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
353	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
354	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
355	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
356	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
357	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
358	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
359	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
360	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
361	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
362	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
363	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
364	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
365	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
366	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
367	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
368	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
369	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
370	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
371	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
372	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
373	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
374	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
375	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
376	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
377	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
378	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
379	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
380	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
381	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
382	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
383	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
384	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
385	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
386	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
387	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
388	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
389	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
390	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
391	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
392	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
393	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
394	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
395	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
396	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
397	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
398	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
399	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
400	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
401	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
402	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
403	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
404	C₂³×C₄²	C₂⁴	1	4	yes	—
405	C₂×#392	C₂×D₄	1	64	yes	complemented
406	C₂²×#95	C₂×D₄	1	8	yes	—
407	C₂²×#95	C₂×D₄	1	16	yes	complemented
408	C₂²×#95	C₂×D₄	1	16	yes	complemented
409	C₂²×#95	C₂×D₄	1	16	yes	complemented
410	C₂²×#95	C₂×D₄	1	16	yes	complemented
411	C₂²×#95	C₂⁴	1	8	yes	—
412	C₂²×#95	C₂⁴	1	8	yes	—
413	C₂²×#95	C₂⁴	1	8	yes	—
414	C₂²×#95	C₂⁴	1	4	yes	—
415	C₂²×#95	C₂⁴	1	4	yes	—
416	C₂²×#95	C₂⁴	1	8	yes	—
417	C₂²×#95	C₂⁴	1	8	yes	—
418	C₂²×#95	C₂⁴	1	8	yes	—
419	C₂²×#95	C₂⁴	1	8	yes	—
420	C₂²×#95	C₂⁴	1	8	yes	—
421	C₂²×#95	C₂⁴	1	8	yes	—
422	C₂²×#95	C₂⁴	1	8	yes	—
423	C₂²×#95	C₂⁴	1	8	yes	—
424	C₂²×#95	C₂⁴	1	8	yes	—
425	C₂²×#95	C₂⁴	1	8	yes	—
426	C₂²×#95	C₂⁴	1	8	yes	—
427	C₂²×#95	C₂⁴	1	8	yes	—
428	C₂²×#95	C₂⁴	1	4	yes	—
429	C₂²×#95	C₂⁴	1	4	yes	—
430	C₂²×#95	C₂⁴	1	8	yes	—
431	C₂²×#95	C₂⁴	1	8	yes	—
432	C₂²×#95	C₂⁴	1	8	yes	—
433	C₂²×#95	C₂⁴	1	8	yes	—
434	C₂²×#95	C₂⁴	1	8	yes	—
435	C₂²×#95	C₂⁴	1	8	yes	—
436	C₂²×#95	C₂⁴	1	8	yes	—
437	C₂²×#95	C₂⁴	1	4	yes	—
438	C₂²×#95	C₂⁴	1	8	yes	—
439	C₂²×#95	C₂⁴	1	8	yes	—
440	C₂²×#95	C₂⁴	1	8	yes	—
441	#1438	C₂×D₄	1	128	yes	complemented
442	#1438	C₂×D₄	1	128	yes	complemented
443	C₂⁶	C₂²×D₄	1	8	yes	—
444	C₂⁶	C₂²×D₄	1	8	yes	—
445	C₂⁶	C₂²×D₄	1	4	yes	—
446	C₂⁶	C₂²×D₄	1	8	yes	—
447	C₂⁶	C₂²×D₄	1	8	yes	—
448	C₂⁶	C₂²×D₄	1	8	yes	—
449	C₂⁶	C₂²×D₄	1	8	yes	—
450	C₂⁶	C₂²×D₄	1	8	yes	—
451	C₂⁶	C₂²×D₄	1	8	yes	—
452	C₂⁶	C₂²×D₄	1	8	yes	—
453	C₂⁶	C₂²×D₄	1	32	yes	—
454	C₂⁶	C₂×#41	1	4	yes	—
455	C₂⁶	C₂×#41	1	8	yes	—
456	C₂⁶	C₂×#41	1	8	yes	—
457	C₂⁶	C₂×#41	1	8	yes	—
458	C₂⁶	C₂×#41	1	16	yes	—
459	C₂⁶	H(5,𝔽₂)	1	4	yes	—
460	C₂⁶	H(5,𝔽₂)	1	8	yes	—
461	C₂⁶	H(5,𝔽₂)	1	4	yes	—
462	C₂⁶	H(5,𝔽₂)	1	8	yes	—
463	C₂⁶	H(5,𝔽₂)	1	8	yes	—
464	C₂⁶	H(5,𝔽₂)	1	8	yes	—
465	C₂⁶	H(5,𝔽₂)	1	8	yes	—
466	C₂⁶	C₂⁵	1	2	yes	—
467	C₂⁶	C₂⁵	1	4	yes	—
468	C₂⁶	C₂⁵	1	2	yes	—
469	C₂⁶	C₂⁵	1	4	yes	—
470	C₂⁶	C₂⁵	1	4	yes	—
471	C₂⁶	C₂⁵	1	1	yes	characteristic
472	C₂³×D₄	#120	1	64	yes	complemented
473	C₂³×D₄	#121	1	128	yes	complemented
474	C₂³×D₄	C₂²×D₄	1	32	yes	—
475	C₂³×D₄	C₂²×D₄	1	32	yes	—
476	C₂³×D₄	C₂²×D₄	1	32	yes	—
477	C₂³×D₄	C₂²×D₄	1	32	yes	—
478	C₂³×D₄	C₂²×D₄	1	16	yes	—
479	C₂³×D₄	C₂²×D₄	1	32	yes	—
480	C₂³×D₄	C₂²×D₄	1	32	yes	—
481	C₂³×D₄	C₂×#41	1	32	yes	—
482	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
483	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
484	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
485	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
486	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
487	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
488	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
489	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
490	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
491	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
492	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
493	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
494	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
495	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
496	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
497	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
498	C₂⁴×C₄	C₂×#41	1	8	yes	—
499	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
500	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
501	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
502	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
503	C₂⁴×C₄	C₂⁵	1	2	yes	—
504	C₂⁴×C₄	C₂⁵	1	4	yes	—
505	C₂⁴×C₄	C₂⁵	1	4	yes	—
506	C₂⁴×C₄	C₂⁵	1	4	yes	—
507	C₂⁴×C₄	C₂⁵	1	4	yes	—
508	C₂⁴×C₄	C₂⁵	1	2	yes	—
509	C₂⁴×C₄	C₂⁵	1	4	yes	—
510	C₂⁴×C₄	C₂⁵	1	4	yes	—
511	C₂⁴×C₄	C₂⁵	1	2	yes	—
512	C₂⁴×C₄	C₂⁵	1	4	yes	—
513	C₂⁴×C₄	C₂⁵	1	2	yes	—
514	C₂⁴×C₄	C₂⁵	1	4	yes	—
515	C₂⁴×C₄	C₂⁵	1	4	yes	—
516	C₂⁴×C₄	C₂⁵	1	2	yes	—
517	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
518	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
519	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
520	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
521	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
522	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
523	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
524	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
525	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
526	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
527	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
528	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
529	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
530	C₂×#95	C₂²×D₄	1	16	yes	—
531	C₂×#95	C₂²×D₄	1	32	yes	complemented
532	C₂×#95	C₂²×D₄	1	32	yes	complemented
533	C₂×#95	C₂²×D₄	1	32	yes	complemented
534	C₂×#95	C₂²×D₄	1	32	yes	complemented
535	C₂⁵	C₂×#120	1	32	yes	—
536	C₂⁵	C₂×#121	1	32	yes	—
537	C₂⁵	C₂×#121	1	32	yes	—
538	C₂⁵	#525	1	32	yes	—
539	C₂⁵	#534	1	32	yes	—
540	C₂⁵	#538	1	32	yes	—
541	C₂⁵	D₄²	1	32	yes	—
542	C₂⁵	D₄²	1	32	yes	—
543	C₂⁵	D₄²	1	32	yes	—
544	C₂⁵	D₄²	1	32	yes	—
545	C₂⁵	D₄²	1	32	yes	—
546	C₂⁵	#546	1	16	yes	—
547	C₂⁵	#546	1	32	yes	—
548	C₂⁵	#546	1	32	yes	—
549	C₂⁵	#546	1	32	yes	—
550	C₂⁵	#546	1	32	yes	—
551	C₂⁵	C₂³×D₄	1	8	yes	—
552	C₂⁵	C₂³×D₄	1	8	yes	—
553	C₂⁵	C₂³×D₄	1	4	yes	—
554	C₂⁵	C₂³×D₄	1	8	yes	—
555	C₂⁵	C₂³×D₄	1	8	yes	—
556	C₂⁵	C₂³×D₄	1	8	yes	—
557	C₂⁵	C₂³×D₄	1	8	yes	—
558	C₂⁵	C₂³×D₄	1	8	yes	—
559	C₂⁵	C₂³×D₄	1	8	yes	—
560	C₂⁵	C₂³×D₄	1	8	yes	—
561	C₂⁵	C₂³×D₄	1	4	yes	—
562	C₂⁵	C₂³×D₄	1	2	yes	—
563	C₂⁵	C₂³×D₄	1	4	yes	—
564	C₂⁵	C₂³×D₄	1	4	yes	—
565	C₂⁵	C₂²×#41	1	4	yes	—
566	C₂⁵	C₂²×#41	1	8	yes	—
567	C₂⁵	C₂²×#41	1	8	yes	—
568	C₂⁵	C₂²×#41	1	8	yes	—
569	C₂⁵	C₂²×#41	1	4	yes	—
570	C₂⁵	C₂²×#41	1	2	yes	—
571	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
572	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
573	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
574	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
575	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
576	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
577	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
578	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
579	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
580	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
581	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
582	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
583	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
584	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
585	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
586	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
587	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
588	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
589	C₂⁵	#585	1	2	yes	—
590	C₂⁵	#585	1	4	yes	—
591	C₂⁵	C₂⁶	1	1	yes	characteristic
592	C₂²×D₄	C₂×#120	1	64	yes	complemented
593	C₂²×D₄	C₂×#121	1	128	yes	complemented
594	C₂³×C₄	C₂×#120	1	16	yes	—
595	C₂³×C₄	C₂×#121	1	32	yes	—
596	C₂³×C₄	D₄²	1	16	yes	—
597	C₂³×C₄	D₄²	1	16	yes	—
598	C₂³×C₄	D₄²	1	32	yes	—
599	C₂³×C₄	D₄²	1	32	yes	—
600	C₂³×C₄	C₂³×D₄	1	8	yes	—
601	C₂³×C₄	C₂³×D₄	1	8	yes	—
602	C₂³×C₄	C₂³×D₄	1	8	yes	—
603	C₂³×C₄	C₂³×D₄	1	8	yes	—
604	C₂³×C₄	C₂³×D₄	1	8	yes	—
605	C₂³×C₄	C₂³×D₄	1	4	yes	—
606	C₂³×C₄	C₂³×D₄	1	4	yes	—
607	C₂³×C₄	C₂³×D₄	1	8	yes	—
608	C₂³×C₄	C₂³×D₄	1	8	yes	—
609	C₂³×C₄	C₂³×D₄	1	8	yes	—
610	C₂³×C₄	C₂³×D₄	1	8	yes	—
611	C₂³×C₄	C₂³×D₄	1	8	yes	—
612	C₂³×C₄	C₂³×D₄	1	8	yes	—
613	C₂³×C₄	C₂³×D₄	1	8	yes	—
614	C₂³×C₄	C₂³×D₄	1	8	yes	—
615	C₂³×C₄	C₂³×D₄	1	8	yes	—
616	C₂³×C₄	C₂²×#41	1	8	yes	—
617	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
618	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
619	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
620	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
621	C₂⁴	#2410	1	128	yes	—
622	C₂⁴	#2424	1	128	yes	—
623	C₂⁴	C₂²×#120	1	16	yes	—
624	C₂⁴	C₂²×#120	1	4	yes	—
625	C₂⁴	C₂²×#121	1	16	yes	—
626	C₂⁴	C₂²×#121	1	16	yes	—
627	C₂⁴	C₂²×#121	1	8	yes	—
628	C₂⁴	C₂×#525	1	16	yes	—
629	C₂⁴	C₂×#525	1	8	yes	—
630	C₂⁴	C₂×#534	1	16	yes	—
631	C₂⁴	C₂×#534	1	8	yes	—
632	C₂⁴	C₂×#538	1	16	yes	—
633	C₂⁴	C₂×#538	1	8	yes	—
634	C₂⁴	#3459	1	4	yes	—
635	C₂⁴	C₂×D₄²	1	16	yes	—
636	C₂⁴	C₂×D₄²	1	16	yes	—
637	C₂⁴	C₂×D₄²	1	16	yes	—
638	C₂⁴	C₂×D₄²	1	16	yes	—
639	C₂⁴	C₂×D₄²	1	16	yes	—
640	C₂⁴	C₂×D₄²	1	8	yes	—
641	C₂⁴	C₂×D₄²	1	8	yes	—
642	C₂⁴	C₂×D₄²	1	8	yes	—
643	C₂⁴	C₂×D₄²	1	8	yes	—
644	C₂⁴	C₂×D₄²	1	8	yes	—
645	C₂⁴	C₂×D₄²	1	4	yes	—
646	C₂⁴	C₂×D₄²	1	8	yes	—
647	C₂⁴	C₂×D₄²	1	8	yes	—
648	C₂⁴	C₂×D₄²	1	4	yes	—
649	C₂⁴	C₂×#546	1	8	yes	—
650	C₂⁴	C₂×#546	1	16	yes	—
651	C₂⁴	C₂×#546	1	16	yes	—
652	C₂⁴	C₂×#546	1	16	yes	—
653	C₂⁴	C₂×#546	1	16	yes	—
654	C₂⁴	C₂×#546	1	8	yes	—
655	C₂⁴	C₂×#546	1	4	yes	—
656	C₂⁴	C₂×#546	1	8	yes	—
657	C₂⁴	C₂×#546	1	8	yes	—
658	C₂⁴	C₂×#546	1	8	yes	—
659	C₂⁴	D₄×#41	1	8	yes	—
660	C₂⁴	D₄×#41	1	8	yes	—
661	C₂⁴	#3481	1	4	yes	—
662	C₂⁴	#3484	1	8	yes	—
663	C₂⁴	#3484	1	8	yes	—
664	C₂⁴	#3484	1	8	yes	—
665	C₂⁴	#3484	1	8	yes	—
666	C₂⁴	#3484	1	8	yes	—
667	C₂⁴	#3484	1	8	yes	—
668	C₂⁴	#3484	1	4	yes	—
669	C₂⁴	#3484	1	8	yes	—
670	C₂⁴	#3484	1	4	yes	—
671	C₂⁴	#3484	1	8	yes	—
672	C₂⁴	#3484	1	8	yes	—
673	C₂⁴	#3484	1	8	yes	—
674	C₂⁴	#3484	1	8	yes	—
675	C₂⁴	#3484	1	8	yes	—
676	C₂⁴	#3484	1	8	yes	—
677	C₂⁴	#3485	1	4	yes	—
678	C₂⁴	#3488	1	8	yes	—
679	C₂⁴	#3488	1	8	yes	—
680	C₂⁴	#3488	1	8	yes	—
681	C₂⁴	#3488	1	4	yes	—
682	C₂⁴	#3488	1	8	yes	—
683	C₂⁴	#3490	1	8	yes	—
684	C₂⁴	#3490	1	8	yes	—
685	C₂⁴	#3490	1	8	yes	—
686	C₂⁴	#3490	1	8	yes	—
687	C₂⁴	#3490	1	4	yes	—
688	C₂⁴	#3496	1	8	yes	—
689	C₂⁴	#3496	1	8	yes	—
690	C₂⁴	#3496	1	8	yes	—
691	C₂⁴	#3498	1	4	yes	—
692	C₂⁴	#3498	1	8	yes	—
693	C₂⁴	#3498	1	8	yes	—
694	C₂⁴	#3505	1	8	yes	—
695	C₂⁴	#3513	1	8	yes	—
696	C₂⁴	#3519	1	8	yes	—
697	C₂⁴	#3519	1	8	yes	—
698	C₂⁴	#3519	1	8	yes	—
699	C₂⁴	#3519	1	8	yes	—
700	C₂⁴	#3532	1	8	yes	—
701	C₂⁴	#3532	1	8	yes	—
702	C₂⁴	#3532	1	8	yes	—
703	C₂⁴	#3532	1	8	yes	—
704	C₂⁴	#3532	1	8	yes	—
705	C₂⁴	#3532	1	4	yes	—
706	C₂⁴	#3532	1	8	yes	—
707	C₂⁴	#3532	1	4	yes	—
708	C₂⁴	#3532	1	8	yes	—
709	C₂⁴	#3532	1	8	yes	—
710	C₂⁴	#3532	1	4	yes	—
711	C₂⁴	#3533	1	8	yes	—
712	C₂⁴	#3534	1	8	yes	—
713	C₂⁴	#3534	1	8	yes	—
714	C₂⁴	#3534	1	8	yes	—
715	C₂⁴	#3534	1	8	yes	—
716	C₂⁴	#3534	1	4	yes	—
717	C₂⁴	#3537	1	4	yes	—
718	C₂⁴	#3537	1	8	yes	—
719	C₂⁴	#3537	1	4	yes	—
720	C₂⁴	#3542	1	8	yes	—
721	C₂⁴	#3542	1	8	yes	—
722	C₂⁴	#3542	1	8	yes	—
723	C₂⁴	#3543	1	8	yes	—
724	C₂⁴	#3543	1	8	yes	—
725	C₂⁴	#3543	1	4	yes	—
726	C₂⁴	C₂⁴×D₄	1	2	yes	—
727	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
728	C₂⁴	C₂⁴×D₄	1	2	yes	—
729	C₂⁴	C₂⁴×D₄	1	2	yes	—
730	C₂⁴	C₂³×#41	1	1	yes	characteristic
731	C₂⁴	C₂³×#41	1	2	yes	—
732	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
734	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
735	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
736	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
737	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
738	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
739	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
740	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
741	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
742	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
743	C₂⁴	C₂×#585	1	1	yes	characteristic
744	C₂⁴	C₂×#585	1	2	yes	—
745	C₂²×C₄	C₂²×#120	1	8	yes	—
746	C₂²×C₄	C₂²×#121	1	16	yes	—
747	C₂²×C₄	C₂×D₄²	1	16	yes	—
748	C₂²×C₄	C₂×D₄²	1	16	yes	—
749	C₂²×C₄	C₂×D₄²	1	8	yes	—
750	C₂²×C₄	C₂×D₄²	1	8	yes	—
751	C₂³	C₂×#2410	1	32	yes	—
752	C₂³	C₂×#2410	1	16	yes	—
753	C₂³	C₂×#2424	1	32	yes	—
754	C₂³	C₂×#2424	1	16	yes	—
755	C₂³	#34655	1	8	yes	—
756	C₂³	#35347	1	8	yes	—
757	C₂³	#35348	1	16	yes	—
758	C₂³	#35352	1	16	yes	—
759	C₂³	#35680	1	8	yes	—
760	C₂³	#35691	1	16	yes	—
761	C₂³	#35692	1	16	yes	—
762	C₂³	D₄×#120	1	16	yes	—
763	C₂³	D₄×#121	1	16	yes	—
764	C₂³	D₄×#121	1	16	yes	—
765	C₂³	#36096	1	16	yes	—
766	C₂³	#36098	1	16	yes	—
767	C₂³	#36098	1	16	yes	—
768	C₂³	#36152	1	8	yes	—
769	C₂³	#36214	1	16	yes	—
770	C₂³	#37644	1	16	yes	—
771	C₂³	#37644	1	16	yes	—
772	C₂³	#37660	1	16	yes	—
773	C₂³	#37660	1	16	yes	—
774	C₂³	#37672	1	16	yes	—
775	C₂³	#37713	1	16	yes	—
776	C₂³	#37720	1	16	yes	—
777	C₂³	#37744	1	8	yes	—
778	C₂³	#37744	1	16	yes	—
779	C₂³	#37832	1	16	yes	—
780	C₂³	#38076	1	16	yes	—
781	C₂³	#38540	1	16	yes	—
782	C₂³	#39428	1	16	yes	—
783	C₂³	#40484	1	16	yes	—
784	C₂³	#40728	1	16	yes	—
785	C₂³	#40929	1	8	yes	—
786	C₂³	#42997	1	16	yes	—
787	C₂³	#43095	1	16	yes	—
788	C₂³	#43098	1	16	yes	—
789	C₂³	#43098	1	8	yes	—
790	C₂³	#43098	1	16	yes	—
791	C₂³	#43098	1	16	yes	—
792	C₂³	#43361	1	8	yes	—
793	C₂³	#43491	1	8	yes	—
794	C₂³	#43886	1	16	yes	—
795	C₂³	#43886	1	16	yes	—
796	C₂³	#43886	1	16	yes	—
797	C₂³	#43893	1	16	yes	—
798	C₂³	#43932	1	16	yes	—
799	C₂³	#44228	1	16	yes	—
800	C₂³	#44228	1	16	yes	—
801	C₂³	#44932	1	16	yes	—
802	C₂³	#45355	1	8	yes	—
803	C₂³	#46350	1	16	yes	—
804	C₂³	#46355	1	8	yes	—
805	C₂³	#46355	1	16	yes	—
806	C₂³	#46355	1	16	yes	—
807	C₂³	#46996	1	8	yes	—
808	C₂³	#47042	1	16	yes	—
809	C₂³	#47830	1	16	yes	—
810	C₂³	#47830	1	16	yes	—
811	C₂³	#47846	1	16	yes	—
812	C₂³	#47878	1	16	yes	—
813	C₂³	#47932	1	16	yes	—
814	C₂³	#48088	1	16	yes	—
815	C₂³	#48473	1	16	yes	—
816	C₂³	#48776	1	8	yes	—
817	C₂³	#51895	1	16	yes	—
818	C₂³	#52004	1	16	yes	—
819	C₂³	#52004	1	8	yes	—
820	C₂³	#54822	1	16	yes	—
821	C₂³	#56344	1	8	yes	—
822	C₂³	#57971	1	16	yes	—
823	C₂³	#58990	1	16	yes	—
824	C₂³	#58990	1	8	yes	—
825	C₂³	#58990	1	16	yes	—
826	C₂³	#58990	1	16	yes	—
827	C₂³	#58990	1	16	yes	—
828	C₂³	#58991	1	8	yes	—
829	C₂³	#58991	1	16	yes	—
830	C₂³	#58991	1	16	yes	—
831	C₂³	#58992	1	16	yes	—
832	C₂³	#58994	1	16	yes	—
833	C₂³	#58997	1	16	yes	—
834	C₂³	#59004	1	16	yes	—
835	C₂³	#59089	1	8	yes	—
836	C₂³	#59123	1	16	yes	—
837	C₂³	#59126	1	16	yes	—
838	C₂³	#59126	1	8	yes	—
839	C₂³	#59126	1	16	yes	—
840	C₂³	C₂³×#120	1	1	yes	characteristic
841	C₂³	C₂³×#121	1	2	yes	—
842	C₂³	C₂²×#525	1	2	yes	—
843	C₂³	C₂²×#534	1	2	yes	—
844	C₂³	C₂²×#538	1	2	yes	—
845	C₂³	C₂×#3459	1	1	yes	characteristic
846	C₂³	C₂²×D₄²	1	2	yes	—
847	C₂³	C₂²×D₄²	1	1	yes	characteristic
848	C₂³	C₂²×D₄²	1	2	yes	—
849	C₂³	C₂²×D₄²	1	2	yes	—
850	C₂³	C₂²×D₄²	1	2	yes	—
851	C₂³	C₂²×D₄²	1	1	yes	characteristic
852	C₂³	C₂²×D₄²	1	2	yes	—
853	C₂³	C₂²×D₄²	1	2	yes	—
854	C₂³	C₂²×D₄²	1	2	yes	—
855	C₂³	C₂²×#546	1	2	yes	—
856	C₂³	C₂²×#546	1	2	yes	—
857	C₂³	C₂²×#546	1	2	yes	—
858	C₂³	C₂²×#546	1	2	yes	—
859	C₂³	C₂²×#546	1	1	yes	characteristic
860	C₂³	C₂×D₄×#41	1	2	yes	—
861	C₂³	C₂×D₄×#41	1	2	yes	—
862	C₂³	C₂×#3481	1	1	yes	characteristic
863	C₂³	C₂×#3532	1	2	yes	—
864	C₂³	C₂×#3532	1	2	yes	—
865	C₂³	C₂×#3532	1	2	yes	—
866	C₂³	C₂×#3532	1	2	yes	—
867	C₂³	C₂×#3532	1	2	yes	—
868	C₂³	C₂×#3532	1	2	yes	—
869	C₂³	C₂×#3532	1	2	yes	—
870	C₂³	C₂×#3532	1	1	yes	characteristic
871	C₂³	C₂×#3532	1	2	yes	—
872	C₂³	C₂×#3532	1	1	yes	characteristic
873	C₂³	C₂×#3532	1	1	yes	characteristic
874	C₂³	C₂×#3542	1	2	yes	—
875	C₂³	C₂×#3542	1	2	yes	—
876	C₂³	C₂×#3542	1	2	yes	—
877	C₂³	C₂×#3534	1	2	yes	—
878	C₂³	C₂×#3534	1	2	yes	—
879	C₂³	C₂×#3534	1	2	yes	—
880	C₂³	C₂×#3534	1	2	yes	—
881	C₂³	C₂×#3534	1	1	yes	characteristic
882	C₂³	C₂×#3537	1	1	yes	characteristic
883	C₂³	C₂×#3537	1	2	yes	—
884	C₂³	C₂×#3537	1	1	yes	characteristic
885	C₂³	C₂×#3533	1	2	yes	—
886	C₂³	C₂×#3543	1	2	yes	—
887	C₂³	C₂×#3543	1	2	yes	—
888	C₂³	C₂×#3543	1	1	yes	characteristic
889	C₂³	C₂×#3484	1	2	yes	—
890	C₂³	C₂×#3484	1	2	yes	—
891	C₂³	C₂×#3484	1	1	yes	characteristic
892	C₂³	C₂×#3484	1	2	yes	—
893	C₂³	C₂×#3484	1	2	yes	—
894	C₂³	C₂×#3484	1	2	yes	—
895	C₂³	C₂×#3484	1	2	yes	—
896	C₂³	C₂×#3484	1	2	yes	—
897	C₂³	C₂×#3484	1	2	yes	—
898	C₂³	C₂×#3484	1	1	yes	characteristic
899	C₂³	C₂×#3484	1	2	yes	—
900	C₂³	C₂×#3484	1	2	yes	—
901	C₂³	C₂×#3484	1	2	yes	—
902	C₂³	C₂×#3484	1	2	yes	—
903	C₂³	C₂×#3484	1	2	yes	—
904	C₂³	C₂×#3496	1	2	yes	—
905	C₂³	C₂×#3496	1	2	yes	—
906	C₂³	C₂×#3496	1	2	yes	—
907	C₂³	C₂×#3490	1	2	yes	—
908	C₂³	C₂×#3490	1	1	yes	characteristic
909	C₂³	C₂×#3490	1	2	yes	—
910	C₂³	C₂×#3490	1	2	yes	—
911	C₂³	C₂×#3490	1	2	yes	—
912	C₂³	C₂×#3505	1	2	yes	—
913	C₂³	C₂×#3513	1	2	yes	—
914	C₂³	C₂×#3519	1	2	yes	—
915	C₂³	C₂×#3519	1	2	yes	—
916	C₂³	C₂×#3519	1	2	yes	—
917	C₂³	C₂×#3519	1	2	yes	—
918	C₂³	C₂×#3485	1	1	yes	characteristic
919	C₂³	C₂×#3488	1	2	yes	—
920	C₂³	C₂×#3488	1	2	yes	—
921	C₂³	C₂×#3488	1	2	yes	—
922	C₂³	C₂×#3488	1	2	yes	—
923	C₂³	C₂×#3488	1	1	yes	characteristic
924	C₂³	C₂×#3498	1	1	yes	characteristic
925	C₂³	C₂×#3498	1	2	yes	—
926	C₂³	C₂×#3498	1	2	yes	—
927	C₂²	#648042	1	32	yes	—
928	C₂²	#649101	1	16	yes	—
929	C₂²	#651752	1	32	yes	—
930	C₂²	#772794	1	32	yes	—
931	C₂²	#773894	1	32	yes	—
932	C₂²	#787250	1	16	yes	—
933	C₂²	#1082853	1	32	yes	—
934	C₂²	#1085256	1	16	yes	—
935	C₂²	#1092686	1	32	yes	—
936	C₂²	#1420272	1	16	yes	—
937	C₂²	#1420360	1	32	yes	—
938	C₂²	#1420622	1	32	yes	—
939	C₂²	#2077522	1	32	yes	—
940	C₂²	#2171267	1	32	yes	—
941	C₂²	#2563791	1	16	yes	—
942	C₂²	#3860066	1	32	yes	—
943	C₂²	#3876700	1	32	yes	—
944	C₂²	#4029469	1	16	yes	—
945	C₂²	#4122222	1	16	yes	—
946	C₂²	C₂²×#2410	1	2	yes	—
947	C₂²	C₂²×#2424	1	2	yes	—
948	C₂²	C₂×#34655	1	1	yes	characteristic
949	C₂²	C₂×#35347	1	1	yes	characteristic
950	C₂²	C₂×#35348	1	2	yes	—
951	C₂²	C₂×#35352	1	2	yes	—
952	C₂²	C₂×#35680	1	1	yes	characteristic
953	C₂²	C₂×#35691	1	2	yes	—
954	C₂²	C₂×#35692	1	2	yes	—
955	C₂²	C₂×D₄×#120	1	2	yes	—
956	C₂²	C₂×D₄×#121	1	2	yes	—
957	C₂²	C₂×D₄×#121	1	2	yes	—
958	C₂²	C₂×#36096	1	2	yes	—
959	C₂²	C₂×#36098	1	2	yes	—
960	C₂²	C₂×#36098	1	2	yes	—
961	C₂²	C₂×#36152	1	1	yes	characteristic
962	C₂²	C₂×#36214	1	2	yes	—
963	C₂²	C₂×#37644	1	2	yes	—
964	C₂²	C₂×#37644	1	2	yes	—
965	C₂²	C₂×#37672	1	2	yes	—
966	C₂²	C₂×#37660	1	2	yes	—
967	C₂²	C₂×#37660	1	2	yes	—
968	C₂²	C₂×#37713	1	2	yes	—
969	C₂²	C₂×#37720	1	2	yes	—
970	C₂²	C₂×#37744	1	1	yes	characteristic
971	C₂²	C₂×#37744	1	2	yes	—
972	C₂²	C₂×#37832	1	2	yes	—
973	C₂²	C₂×#38076	1	2	yes	—
974	C₂²	C₂×#38540	1	2	yes	—
975	C₂²	C₂×#39428	1	2	yes	—
976	C₂²	C₂×#40484	1	2	yes	—
977	C₂²	C₂×#40728	1	2	yes	—
978	C₂²	C₂×#40929	1	1	yes	characteristic
979	C₂²	C₂×#58990	1	2	yes	—
980	C₂²	C₂×#58990	1	1	yes	characteristic
981	C₂²	C₂×#58990	1	2	yes	—
982	C₂²	C₂×#58990	1	2	yes	—
983	C₂²	C₂×#58990	1	2	yes	—
984	C₂²	C₂×#58991	1	1	yes	characteristic
985	C₂²	C₂×#58991	1	2	yes	—
986	C₂²	C₂×#58991	1	2	yes	—
987	C₂²	C₂×#59123	1	2	yes	—
988	C₂²	C₂×#59089	1	1	yes	characteristic
989	C₂²	C₂×#58994	1	2	yes	—
990	C₂²	C₂×#58997	1	2	yes	—
991	C₂²	C₂×#59004	1	2	yes	—
992	C₂²	C₂×#58992	1	2	yes	—
993	C₂²	C₂×#59126	1	2	yes	—
994	C₂²	C₂×#59126	1	1	yes	characteristic
995	C₂²	C₂×#59126	1	2	yes	—
996	C₂²	C₂×#42997	1	2	yes	—
997	C₂²	C₂×#43095	1	2	yes	—
998	C₂²	C₂×#43098	1	1	yes	characteristic
999	C₂²	C₂×#43098	1	2	yes	—
1000	C₂²	C₂×#43098	1	2	yes	—
1001	C₂²	C₂×#43098	1	2	yes	—
1002	C₂²	C₂×#43361	1	1	yes	characteristic
1003	C₂²	C₂×#43491	1	1	yes	characteristic
1004	C₂²	C₂×#43886	1	2	yes	—
1005	C₂²	C₂×#43886	1	2	yes	—
1006	C₂²	C₂×#43886	1	2	yes	—
1007	C₂²	C₂×#43932	1	2	yes	—
1008	C₂²	C₂×#43893	1	2	yes	—
1009	C₂²	C₂×#44228	1	2	yes	—
1010	C₂²	C₂×#44228	1	2	yes	—
1011	C₂²	C₂×#44932	1	2	yes	—
1012	C₂²	C₂×#45355	1	1	yes	characteristic
1013	C₂²	C₂×#46350	1	2	yes	—
1014	C₂²	C₂×#46355	1	1	yes	characteristic
1015	C₂²	C₂×#46355	1	2	yes	—
1016	C₂²	C₂×#46355	1	2	yes	—
1017	C₂²	C₂×#46996	1	1	yes	characteristic
1018	C₂²	C₂×#47042	1	2	yes	—
1019	C₂²	C₂×#47846	1	2	yes	—
1020	C₂²	C₂×#47932	1	2	yes	—
1021	C₂²	C₂×#47878	1	2	yes	—
1022	C₂²	C₂×#47830	1	2	yes	—
1023	C₂²	C₂×#47830	1	2	yes	—
1024	C₂²	C₂×#48088	1	2	yes	—
1025	C₂²	C₂×#48473	1	2	yes	—
1026	C₂²	C₂×#48776	1	1	yes	characteristic
1027	C₂²	C₂×#51895	1	2	yes	—
1028	C₂²	C₂×#52004	1	1	yes	characteristic
1029	C₂²	C₂×#52004	1	2	yes	—
1030	C₂²	C₂×#56344	1	1	yes	characteristic
1031	C₂²	C₂×#54822	1	2	yes	—
1032	C₂²	C₂×#57971	1	2	yes	—
1033	C₂	C₂×#1085256	1	1	yes	characteristic
1034	C₂	C₂×#772794	1	2	yes	—
1035	C₂	C₂×#1092686	1	2	yes	—
1036	C₂	C₂×#649101	1	1	yes	characteristic
1037	C₂	C₂×#3860066	1	2	yes	—
1038	C₂	C₂×#4029469	1	1	yes	characteristic
1039	C₂	C₂×#4122222	1	1	yes	characteristic
1040	C₂	#72278109	1	32	yes	direct product factor
1041	C₂	C₂×#1082853	1	2	yes	—
1042	C₂	C₂×#651752	1	2	yes	—
1043	C₂	C₂×#1420622	1	2	yes	—
1044	C₂	C₂×#648042	1	2	yes	—
1045	C₂	C₂×#773894	1	2	yes	—
1046	C₂	C₂×#2563791	1	1	yes	characteristic
1047	C₂	C₂×#2171267	1	2	yes	—
1048	C₂	C₂×#3876700	1	2	yes	—
1049	C₂	C₂×#787250	1	1	yes	characteristic
1050	C₂	C₂×#1420272	1	1	yes	characteristic
1051	C₂	C₂×#1420360	1	2	yes	—
1052	C₂	C₂×#2077522	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×#158317	C₂	semidirect
2. C₂×#155121	C₂	semidirect
3. C₂×#159029	C₂	semidirect
4. C₂×#155161	C₂	semidirect
5. C₂×#156815	C₂	semidirect
6. C₂×#156826	C₂	semidirect
7. C₂×#156826	C₂	semidirect
8. C₂×#155065	C₂	semidirect
9. C₂×#155065	C₂	semidirect
10. C₂²×#14811	C₂	semidirect
11. #72278109	C₂	direct (N × H)
12. C₂²×#15257	C₂	semidirect
13. C₂×#154671	C₂	semidirect
14. C₂²×#14716	C₂	semidirect
15. C₂²×#13967	C₂	semidirect
16. C₂×#156688	C₂	semidirect
17. C₂×#156706	C₂	semidirect
18. C₂²×#13867	C₂	semidirect
19. C₂²×#14715	C₂	semidirect
20. C₂³×#2403	C₂	semidirect
22. C₂⁴×#121	C₂²	semidirect
26. C₂⁴×#120	C₂²	semidirect
27. C₂⁴×C₄×D₄	C₂²	semidirect
28. C₂⁵×C₂²⋊C₄	C₂²	semidirect
29. C₂²×#2403	C₂²	semidirect
30. C₂³×#394	C₂²	semidirect
36. C₂³×#392	C₂²	semidirect
37. C₂³×#392	C₂²	semidirect
38. C₂³×#392	C₂²	semidirect
39. C₂³×#392	C₂²	semidirect
40. C₂³×#390	C₂²	semidirect
45. C₂³×#386	C₂²	semidirect
46. C₂³×#386	C₂²	semidirect
47. C₂³×#386	C₂²	semidirect
48. C₂³×#386	C₂²	semidirect
49. C₂³×#386	C₂²	semidirect
50. C₂³×#386	C₂²	semidirect
54. C₂³×#379	C₂²	semidirect
55. C₂³×#379	C₂²	semidirect
56. C₂×#15257	C₂²	semidirect
57. C₂×#14811	C₂²	semidirect
58. C₂×#14716	C₂²	semidirect
59. C₂×#14715	C₂²	semidirect
60. C₂×#13967	C₂²	semidirect
61. C₂×#13867	C₂²	semidirect
62. C₂²×#1440	C₂²	semidirect
63. C₂²×#1440	C₂²	semidirect
64. C₂²×#1439	C₂²	semidirect
65. C₂²×#1439	C₂²	semidirect
66. C₂²×#1439	C₂²	semidirect
67. C₂²×#1439	C₂²	semidirect
68. C₂²×#1439	C₂²	semidirect
69. C₂²×#1439	C₂²	semidirect
70. C₂²×#1439	C₂²	semidirect
71. C₂²×#1439	C₂²	semidirect
72. C₂²×#1439	C₂²	semidirect
73. C₂²×#1439	C₂²	semidirect
74. C₂²×#1439	C₂²	semidirect
79. C₂²×#1438	C₂²	semidirect
80. C₂²×#1438	C₂²	semidirect
81. C₂²×#1438	C₂²	semidirect
82. C₂²×#1438	C₂²	semidirect
83. C₂²×#1438	C₂²	semidirect
84. C₂²×#1438	C₂²	semidirect
85. C₂²×#1438	C₂²	semidirect
86. C₂²×#1438	C₂²	semidirect
87. C₂²×#1438	C₂²	semidirect
88. C₂²×#1438	C₂²	semidirect
89. C₂²×#1438	C₂²	semidirect
90. C₂²×#1438	C₂²	semidirect
91. C₂²×#1438	C₂²	semidirect
92. C₂²×#1437	C₂²	semidirect
93. C₂²×#1437	C₂²	semidirect
94. C₂²×#1434	C₂²	semidirect
95. C₂²×C₂²⋊#95	C₂²	semidirect
96. C₂²×C₂²⋊#95	C₂²	semidirect
97. C₂²×C₂²⋊#95	C₂²	semidirect
98. C₂²×C₂²⋊#95	C₂²	semidirect
99. C₂²×C₂²⋊#95	C₂²	semidirect
100. C₂²×C₂²⋊#95	C₂²	semidirect
101. #159029	C₂²	semidirect
102. #158317	C₂²	semidirect
103. #156826	C₂²	semidirect
104. #156826	C₂²	semidirect
105. #156815	C₂²	semidirect
106. #156706	C₂²	semidirect
107. #156688	C₂²	semidirect
108. #155161	C₂²	semidirect
109. #155121	C₂²	semidirect
110. #155065	C₂²	semidirect
111. #155065	C₂²	semidirect
112. #154671	C₂²	semidirect
113. C₂×#7557	C₂²	semidirect
114. C₂×#7557	C₂²	semidirect
115. C₂×#7556	C₂²	semidirect
116. C₂×#7556	C₂²	semidirect
117. C₂×#7556	C₂²	semidirect
118. C₂×#7556	C₂²	semidirect
119. C₂×#7555	C₂²	semidirect
120. C₂×#7555	C₂²	semidirect
121. C₂×#7555	C₂²	semidirect
122. C₂×#7555	C₂²	semidirect
123. C₂×#7555	C₂²	semidirect
124. C₂×#7555	C₂²	semidirect
125. C₂×#7555	C₂²	semidirect
126. C₂×#7555	C₂²	semidirect
144. C₂³×#121	C₂³	semidirect
145. C₂³×#120	D₄	semidirect
149. C₂³×#120	C₂³	semidirect
150. C₂³×C₄×D₄	C₂³	semidirect
191. C₂⁴×C₂²⋊C₄	C₂³	semidirect
193. C₂²×#394	C₂³	semidirect
194. C₂²×#392	D₄	semidirect
200. C₂²×#392	C₂³	semidirect
201. C₂²×#392	C₂³	semidirect
202. C₂²×#392	C₂³	semidirect
203. C₂²×#392	C₂³	semidirect
204. C₂²×#390	C₂³	semidirect
209. C₂²×#386	C₂³	semidirect
210. C₂²×#386	C₂³	semidirect
211. C₂²×#386	C₂³	semidirect
212. C₂²×#386	C₂³	semidirect
213. C₂²×#386	C₂³	semidirect
214. C₂²×#386	C₂³	semidirect
218. C₂²×#379	C₂³	semidirect
219. C₂²×#379	C₂³	semidirect
250. C₂×#1440	C₂³	semidirect
251. C₂×#1440	C₂³	semidirect
252. C₂×#1439	C₂³	semidirect
253. C₂×#1439	C₂³	semidirect
254. C₂×#1439	C₂³	semidirect
255. C₂×#1439	C₂³	semidirect
256. C₂×#1439	C₂³	semidirect
257. C₂×#1439	C₂³	semidirect
258. C₂×#1439	C₂³	semidirect
259. C₂×#1439	C₂³	semidirect
260. C₂×#1439	C₂³	semidirect
261. C₂×#1439	C₂³	semidirect
262. C₂×#1439	C₂³	semidirect
263. C₂×#1438	D₄	semidirect
264. C₂×#1438	D₄	semidirect
269. C₂×#1438	C₂³	semidirect
270. C₂×#1438	C₂³	semidirect
271. C₂×#1438	C₂³	semidirect
272. C₂×#1438	C₂³	semidirect
273. C₂×#1438	C₂³	semidirect
274. C₂×#1438	C₂³	semidirect
275. C₂×#1438	C₂³	semidirect
276. C₂×#1438	C₂³	semidirect
277. C₂×#1438	C₂³	semidirect
278. C₂×#1438	C₂³	semidirect
279. C₂×#1438	C₂³	semidirect
280. C₂×#1438	C₂³	semidirect
281. C₂×#1438	C₂³	semidirect
282. C₂×#1437	C₂³	semidirect
283. C₂×#1437	C₂³	semidirect
284. C₂×#1434	C₂³	semidirect
285. C₂×C₂²⋊#95	C₂³	semidirect
286. C₂×C₂²⋊#95	C₂³	semidirect
287. C₂×C₂²⋊#95	C₂³	semidirect
288. C₂×C₂²⋊#95	C₂³	semidirect
289. C₂×C₂²⋊#95	C₂³	semidirect
290. C₂×C₂²⋊#95	C₂³	semidirect
291. #7557	C₂³	semidirect
292. #7557	C₂³	semidirect
293. #7556	C₂³	semidirect
294. #7556	C₂³	semidirect
295. #7556	C₂³	semidirect
296. #7556	C₂³	semidirect
297. #7555	C₂³	semidirect
298. #7555	C₂³	semidirect
299. #7555	C₂³	semidirect
300. #7555	C₂³	semidirect
301. #7555	C₂³	semidirect
302. #7555	C₂³	semidirect
303. #7555	C₂³	semidirect
304. #7555	C₂³	semidirect
350. C₂²×#120	C₂×D₄	semidirect
363. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
364. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
365. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
366. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
405. C₂×#392	C₂×D₄	semidirect
407. C₂²×#95	C₂×D₄	semidirect
408. C₂²×#95	C₂×D₄	semidirect
409. C₂²×#95	C₂×D₄	semidirect
410. C₂²×#95	C₂×D₄	semidirect
441. #1438	C₂×D₄	semidirect
442. #1438	C₂×D₄	semidirect
472. C₂³×D₄	#120	semidirect
473. C₂³×D₄	#121	semidirect
526. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
527. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
528. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
529. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
531. C₂×#95	C₂²×D₄	semidirect
532. C₂×#95	C₂²×D₄	semidirect
533. C₂×#95	C₂²×D₄	semidirect
534. C₂×#95	C₂²×D₄	semidirect
592. C₂²×D₄	C₂×#120	semidirect
593. C₂²×D₄	C₂×#121	semidirect
1040. C₂	#72278109	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#158317	2
C₂×#155121	2
C₂×#159029	2
C₂×#155161	2
C₂×#156815	2
C₂×#156826	2
C₂×#155065	2
C₂²×#14811	2
#72278109	2
C₂²×#15257	2
C₂×#154671	2
C₂²×#14716	2
C₂²×#13967	2
C₂×#156688	2
C₂×#156706	2
C₂²×#13867	2
C₂²×#14715	2
C₂³×#2403	2

Subgroups — C2×#72278109 #72296471

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72278109 #72296471