Subgroups — C₂×#72278357 #72320484

Order 2048.

At least 8628 conjugacy classes of subgroups; only the 14768 normal subgroups are shown.

The subgroup lattice has 1068 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×#154206	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#154635	C₂	1	2	yes	maximal, complemented
3	C₂×#158317	C₂	1	2	yes	maximal, complemented
4	C₂×#156707	C₂	1	2	yes	maximal, complemented
5	C₂×#158361	C₂	1	2	yes	maximal, complemented
6	C₂×#154095	C₂	1	1	yes	maximal, characteristic, complemented
7	#72278357	C₂	1	32	yes	maximal, direct product factor
8	C₂³×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#14716	C₂	1	2	yes	maximal, complemented
10	C₂³×#2408	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#13967	C₂	1	2	yes	maximal, complemented
12	C₂×#156709	C₂	1	2	yes	maximal, complemented
13	C₂×#154094	C₂	1	2	yes	maximal, complemented
14	C₂×#156684	C₂	1	2	yes	maximal, complemented
15	C₂×#156706	C₂	1	2	yes	maximal, complemented
16	C₂×#154195	C₂	1	2	yes	maximal, complemented
17	C₂⁴×#392	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×#14715	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#153827	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×#2403	C₂	1	2	yes	maximal, complemented
21	C₂⁶×D₄	C₂²	1	1	yes	characteristic
22	C₂⁶×D₄	C₂²	1	2	yes	—
23	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
24	C₂⁴×#121	C₂²	1	2	yes	complemented
25	C₂⁴×#120	C₂²	1	2	yes	—
26	C₂⁴×#120	C₂²	1	2	yes	—
27	C₂⁴×#120	C₂²	1	4	yes	complemented
28	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
29	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
30	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic
31	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
32	C₂⁵×C₂²⋊C₄	C₂²	1	2	yes	complemented
33	C₂²×#2408	C₂²	1	16	yes	complemented
34	C₂²×#2403	C₂²	1	32	yes	complemented
35	C₂³×#394	C₂²	1	2	yes	complemented
36	C₂³×#392	C₂²	1	2	yes	—
37	C₂³×#392	C₂²	1	2	yes	—
38	C₂³×#392	C₂²	1	4	yes	complemented
39	C₂³×#392	C₂²	1	2	yes	complemented
40	C₂³×#392	C₂²	1	4	yes	complemented
41	C₂³×#392	C₂²	1	2	yes	complemented
42	C₂³×#392	C₂²	1	2	yes	complemented
43	C₂³×#392	C₂²	1	2	yes	complemented
44	C₂³×#392	C₂²	1	2	yes	complemented
45	C₂³×#392	C₂²	1	16	yes	complemented
46	C₂²×D₄×C₂²⋊C₄	C₂²	1	16	yes	complemented
47	C₂³×#390	C₂²	1	1	yes	characteristic, complemented
48	C₂³×#390	C₂²	1	1	yes	characteristic, complemented
49	C₂³×#390	C₂²	1	2	yes	complemented
50	C₂³×#386	C₂²	1	1	yes	characteristic
51	C₂³×#386	C₂²	1	2	yes	—
52	C₂³×#386	C₂²	1	1	yes	characteristic
53	C₂³×#386	C₂²	1	2	yes	—
54	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
55	C₂³×#386	C₂²	1	1	yes	characteristic, complemented
56	C₂³×#386	C₂²	1	4	yes	complemented
57	C₂³×#386	C₂²	1	4	yes	complemented
58	C₂³×#380	C₂²	1	1	yes	characteristic, complemented
59	C₂³×#380	C₂²	1	1	yes	characteristic, complemented
60	C₂³×#379	C₂²	1	1	yes	characteristic
61	C₂³×#379	C₂²	1	2	yes	—
62	C₂³×#379	C₂²	1	1	yes	characteristic, complemented
63	C₂³×#379	C₂²	1	2	yes	complemented
64	C₂³×#379	C₂²	1	2	yes	complemented
65	C₂³×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
66	C₂⁴×#95	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14716	C₂²	1	32	yes	complemented
68	C₂×#14715	C₂²	1	16	yes	complemented
69	C₂×#13967	C₂²	1	32	yes	complemented
70	C₂²×#1439	C₂²	1	2	yes	complemented
71	C₂²×#1439	C₂²	1	2	yes	complemented
72	C₂²×#1439	C₂²	1	4	yes	complemented
73	C₂²×#1439	C₂²	1	2	yes	complemented
74	C₂²×#1438	C₂²	1	4	yes	complemented
75	C₂²×#1438	C₂²	1	4	yes	complemented
76	C₂²×#1438	C₂²	1	2	yes	complemented
77	C₂²×#1438	C₂²	1	2	yes	complemented
78	C₂²×#1438	C₂²	1	4	yes	complemented
79	C₂²×#1438	C₂²	1	4	yes	complemented
80	C₂²×#1438	C₂²	1	4	yes	complemented
81	C₂²×#1438	C₂²	1	4	yes	complemented
82	C₂²×#1438	C₂²	1	4	yes	complemented
83	C₂²×#1437	C₂²	1	4	yes	complemented
84	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
85	C₂²×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
86	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
87	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
88	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
89	#158361	C₂²	1	32	yes	complemented
90	#158317	C₂²	1	32	yes	complemented
91	#156709	C₂²	1	32	yes	complemented
92	#156707	C₂²	1	32	yes	complemented
93	#156706	C₂²	1	32	yes	complemented
94	#156684	C₂²	1	32	yes	complemented
95	#154635	C₂²	1	32	yes	complemented
96	#154206	C₂²	1	16	yes	complemented
97	#154195	C₂²	1	32	yes	complemented
98	#154095	C₂²	1	16	yes	complemented
99	#154094	C₂²	1	32	yes	complemented
100	#153827	C₂²	1	16	yes	complemented
101	C₂×#7557	C₂²	1	2	yes	complemented
102	C₂×#7557	C₂²	1	2	yes	complemented
103	C₂×#7556	C₂²	1	2	yes	complemented
104	C₂×#7555	C₂²	1	4	yes	complemented
105	C₂×#7555	C₂²	1	2	yes	complemented
106	C₂×#7555	C₂²	1	2	yes	complemented
107	C₂×#7555	C₂²	1	2	yes	complemented
108	C₂×#7555	C₂²	1	4	yes	complemented
109	C₂×#7555	C₂²	1	2	yes	complemented
110	C₂×#7554	C₂²	1	2	yes	complemented
111	C₂⁸	C₂³	1	2	yes	—
112	C₂⁸	C₂³	1	1	yes	characteristic
113	C₂⁸	C₂³	1	1	yes	characteristic
114	C₂⁵×D₄	D₄	1	16	yes	complemented
115	C₂⁵×D₄	C₂³	1	1	yes	characteristic
116	C₂⁵×D₄	C₂³	1	4	yes	—
117	C₂⁵×D₄	C₂³	1	1	yes	characteristic
118	C₂⁵×D₄	C₂³	1	1	yes	characteristic
119	C₂⁵×D₄	C₂³	1	2	yes	—
120	C₂⁵×D₄	C₂³	1	8	yes	—
121	C₂⁵×D₄	C₂³	1	4	yes	—
122	C₂⁵×D₄	C₂³	1	2	yes	—
123	C₂⁵×D₄	C₂³	1	4	yes	—
124	C₂⁵×D₄	C₂³	1	1	yes	characteristic
125	C₂⁵×D₄	C₂³	1	4	yes	—
126	C₂⁵×D₄	C₂³	1	16	yes	—
127	C₂⁵×D₄	C₂³	1	8	yes	complemented
128	C₂⁶×C₄	C₂³	1	2	yes	—
129	C₂⁶×C₄	C₂³	1	1	yes	characteristic
130	C₂⁶×C₄	C₂³	1	1	yes	characteristic
131	C₂⁶×C₄	C₂³	1	1	yes	characteristic
132	C₂⁶×C₄	C₂³	1	1	yes	characteristic
133	C₂⁶×C₄	C₂³	1	1	yes	characteristic
134	C₂³×#121	C₂³	1	16	yes	complemented
135	C₂³×#120	D₄	1	32	yes	complemented
136	C₂³×#120	C₂³	1	16	yes	—
137	C₂³×#120	C₂³	1	16	yes	—
138	C₂³×#120	C₂³	1	32	yes	complemented
139	C₂³×C₄×D₄	D₄	1	16	yes	complemented
140	C₂³×C₄×D₄	C₂³	1	8	yes	—
141	C₂³×C₄×D₄	C₂³	1	8	yes	—
142	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
143	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂⁴×C₂²⋊C₄	D₄	1	16	yes	complemented
146	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
147	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
148	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
149	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
150	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
151	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
152	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
153	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
154	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
155	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
156	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
157	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
158	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
159	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
160	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
161	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
162	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
163	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
164	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
165	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	—
166	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
167	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
168	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
169	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
170	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
171	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
172	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
173	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
174	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
175	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	—
176	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	complemented
178	C₂⁴×C₂²⋊C₄	C₂³	1	16	yes	complemented
179	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
180	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
181	C₂²×#394	C₂³	1	16	yes	complemented
182	C₂²×#392	D₄	1	32	yes	complemented
183	C₂²×#392	C₂³	1	16	yes	—
184	C₂²×#392	C₂³	1	16	yes	—
185	C₂²×#392	C₂³	1	16	yes	complemented
186	C₂²×#392	C₂³	1	32	yes	complemented
187	C₂²×#392	C₂³	1	32	yes	complemented
188	C₂²×#392	C₂³	1	16	yes	complemented
189	C₂²×#392	C₂³	1	16	yes	complemented
190	C₂²×#392	C₂³	1	16	yes	complemented
191	C₂²×#392	C₂³	1	16	yes	complemented
192	C₂²×#390	C₂³	1	16	yes	complemented
193	C₂²×#390	C₂³	1	8	yes	complemented
194	C₂²×#390	C₂³	1	8	yes	complemented
195	C₂²×#386	D₄	1	32	yes	complemented
196	C₂²×#386	D₄	1	16	yes	complemented
197	C₂²×#386	C₂³	1	16	yes	—
198	C₂²×#386	C₂³	1	8	yes	—
199	C₂²×#386	C₂³	1	16	yes	—
200	C₂²×#386	C₂³	1	8	yes	—
201	C₂²×#386	C₂³	1	32	yes	complemented
202	C₂²×#386	C₂³	1	8	yes	complemented
203	C₂²×#386	C₂³	1	8	yes	complemented
204	C₂²×#386	C₂³	1	32	yes	complemented
205	C₂²×#380	C₂³	1	8	yes	complemented
206	C₂²×#380	C₂³	1	8	yes	complemented
207	C₂²×#379	C₂³	1	16	yes	—
208	C₂²×#379	C₂³	1	8	yes	—
209	C₂²×#379	C₂³	1	8	yes	complemented
210	C₂²×#379	C₂³	1	16	yes	complemented
211	C₂²×#379	C₂³	1	16	yes	complemented
212	C₂²×C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
213	C₂³×#95	C₂³	1	1	yes	characteristic
214	C₂³×#95	C₂³	1	2	yes	—
215	C₂³×#95	C₂³	1	1	yes	characteristic
216	C₂³×#95	C₂³	1	4	yes	—
217	C₂³×#95	C₂³	1	4	yes	—
218	C₂³×#95	C₂³	1	2	yes	—
219	C₂³×#95	C₂³	1	2	yes	—
220	C₂³×#95	C₂³	1	4	yes	—
221	C₂³×#95	C₂³	1	1	yes	characteristic
222	C₂³×#95	C₂³	1	4	yes	—
223	C₂³×#95	C₂³	1	1	yes	characteristic
224	C₂³×#95	C₂³	1	2	yes	—
225	C₂³×#95	C₂³	1	4	yes	—
226	C₂³×#95	C₂³	1	4	yes	—
227	C₂³×#95	C₂³	1	4	yes	—
228	C₂³×#95	C₂³	1	2	yes	—
229	C₂³×#95	C₂³	1	4	yes	—
230	C₂³×#95	C₂³	1	8	yes	complemented
231	C₂×#1439	C₂³	1	16	yes	complemented
232	C₂×#1439	C₂³	1	32	yes	complemented
233	C₂×#1439	C₂³	1	16	yes	complemented
234	C₂×#1439	C₂³	1	16	yes	complemented
235	C₂×#1438	C₂³	1	16	yes	complemented
236	C₂×#1438	C₂³	1	32	yes	complemented
237	C₂×#1438	C₂³	1	16	yes	complemented
238	C₂×#1438	C₂³	1	32	yes	complemented
239	C₂×#1438	C₂³	1	32	yes	complemented
240	C₂×#1438	C₂³	1	32	yes	complemented
241	C₂×#1438	C₂³	1	32	yes	complemented
242	C₂×#1438	C₂³	1	32	yes	complemented
243	C₂×#1438	C₂³	1	32	yes	complemented
244	C₂×#1437	C₂³	1	32	yes	complemented
245	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
246	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
247	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
248	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
249	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
250	#7557	C₂³	1	16	yes	complemented
251	#7557	C₂³	1	16	yes	complemented
252	#7556	C₂³	1	16	yes	complemented
253	#7555	C₂³	1	32	yes	complemented
254	#7555	C₂³	1	16	yes	complemented
255	#7555	C₂³	1	16	yes	complemented
256	#7555	C₂³	1	16	yes	complemented
257	#7555	C₂³	1	32	yes	complemented
258	#7555	C₂³	1	16	yes	complemented
259	#7554	C₂³	1	16	yes	complemented
260	C₂⁷	C₂×D₄	1	16	yes	—
261	C₂⁷	C₂×D₄	1	8	yes	—
262	C₂⁷	C₂×D₄	1	8	yes	—
263	C₂⁷	C₂×D₄	1	8	yes	complemented
264	C₂⁷	#41	1	8	yes	—
265	C₂⁷	C₂⁴	1	1	yes	characteristic
266	C₂⁷	C₂⁴	1	1	yes	characteristic
267	C₂⁷	C₂⁴	1	4	yes	—
268	C₂⁷	C₂⁴	1	1	yes	characteristic
269	C₂⁷	C₂⁴	1	1	yes	characteristic
270	C₂⁷	C₂⁴	1	8	yes	—
271	C₂⁷	C₂⁴	1	4	yes	—
272	C₂⁷	C₂⁴	1	1	yes	characteristic
273	C₂⁷	C₂⁴	1	4	yes	—
274	C₂⁴×D₄	C₂×D₄	1	8	yes	—
275	C₂⁴×D₄	C₂×D₄	1	8	yes	—
276	C₂⁴×D₄	C₂×D₄	1	32	yes	—
277	C₂⁴×D₄	C₂×D₄	1	16	yes	—
278	C₂⁴×D₄	C₂×D₄	1	8	yes	—
279	C₂⁴×D₄	C₂×D₄	1	8	yes	—
280	C₂⁴×D₄	C₂×D₄	1	16	yes	—
281	C₂⁴×D₄	C₂×D₄	1	16	yes	complemented
282	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
283	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
284	C₂⁴×D₄	C₂×D₄	1	32	yes	complemented
285	C₂⁴×D₄	C₂×D₄	1	64	yes	complemented
286	C₂⁴×D₄	#41	1	8	yes	—
287	C₂⁴×D₄	#41	1	8	yes	—
288	C₂⁴×D₄	C₂⁴	1	4	yes	—
289	C₂⁴×D₄	C₂⁴	1	16	yes	—
290	C₂⁴×D₄	C₂⁴	1	8	yes	—
291	C₂⁴×D₄	C₂⁴	1	4	yes	—
292	C₂⁴×D₄	C₂⁴	1	4	yes	—
293	C₂⁴×D₄	C₂⁴	1	16	yes	—
294	C₂⁴×D₄	C₂⁴	1	8	yes	—
295	C₂⁴×D₄	C₂⁴	1	16	yes	—
296	C₂⁴×D₄	C₂⁴	1	4	yes	—
297	C₂⁴×D₄	C₂⁴	1	16	yes	—
298	C₂⁵×C₄	C₂×D₄	1	16	yes	—
299	C₂⁵×C₄	C₂×D₄	1	8	yes	—
300	C₂⁵×C₄	C₂×D₄	1	8	yes	—
301	C₂⁵×C₄	C₂×D₄	1	8	yes	—
302	C₂⁵×C₄	C₂×D₄	1	8	yes	—
303	C₂⁵×C₄	C₂×D₄	1	8	yes	complemented
304	C₂⁵×C₄	C₂×D₄	1	8	yes	complemented
305	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
306	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
307	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
308	C₂⁵×C₄	C₂⁴	1	4	yes	—
309	C₂⁵×C₄	C₂⁴	1	4	yes	—
310	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
311	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
312	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
313	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
314	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
315	C₂⁵×C₄	C₂⁴	1	4	yes	—
316	C₂⁵×C₄	C₂⁴	1	8	yes	—
317	C₂⁵×C₄	C₂⁴	1	4	yes	—
318	C₂⁵×C₄	C₂⁴	1	4	yes	—
319	C₂⁵×C₄	C₂⁴	1	4	yes	—
320	C₂⁵×C₄	C₂⁴	1	4	yes	—
321	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
322	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
323	C₂⁵×C₄	C₂⁴	1	4	yes	—
324	C₂²×#120	C₂×D₄	1	128	yes	complemented
325	C₂²×C₄×D₄	C₂×D₄	1	64	yes	complemented
326	C₂³×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
327	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
328	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
329	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
330	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
331	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
332	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
333	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
334	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
335	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
336	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
337	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
338	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
339	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
340	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
341	C₂³×C₂²⋊C₄	C₂×D₄	1	64	yes	complemented
342	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
343	C₂³×C₂²⋊C₄	C₂×D₄	1	32	yes	complemented
344	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
345	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
346	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
347	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
348	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
349	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
350	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
351	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
352	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
353	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
354	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
355	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
356	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
357	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
358	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
359	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
360	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
361	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
362	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
363	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
364	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
365	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
366	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
367	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
368	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
369	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
370	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
371	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
372	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
373	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
374	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
375	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
376	C₂³×C₄²	C₂×D₄	1	8	yes	complemented
377	C₂³×C₄²	C₂⁴	1	4	yes	—
378	C₂³×C₄²	C₂⁴	1	4	yes	—
379	C₂×#392	C₂×D₄	1	128	yes	complemented
380	C₂×#386	C₂×D₄	1	64	yes	complemented
381	C₂×#386	C₂×D₄	1	128	yes	complemented
382	C₂²×#95	C₂×D₄	1	8	yes	complemented
383	C₂²×#95	C₂×D₄	1	8	yes	complemented
384	C₂²×#95	C₂×D₄	1	16	yes	complemented
385	C₂²×#95	C₂×D₄	1	32	yes	complemented
386	C₂²×#95	C₂⁴	1	16	yes	—
387	C₂²×#95	C₂⁴	1	8	yes	—
388	C₂²×#95	C₂⁴	1	4	yes	—
389	C₂²×#95	C₂⁴	1	4	yes	—
390	C₂²×#95	C₂⁴	1	8	yes	—
391	C₂²×#95	C₂⁴	1	8	yes	—
392	C₂²×#95	C₂⁴	1	16	yes	—
393	C₂²×#95	C₂⁴	1	16	yes	—
394	C₂²×#95	C₂⁴	1	4	yes	—
395	C₂²×#95	C₂⁴	1	4	yes	—
396	C₂²×#95	C₂⁴	1	8	yes	—
397	C₂²×#95	C₂⁴	1	16	yes	—
398	C₂²×#95	C₂⁴	1	16	yes	—
399	C₂²×#95	C₂⁴	1	16	yes	—
400	C₂²×#95	C₂⁴	1	16	yes	—
401	C₂²×#95	C₂⁴	1	16	yes	—
402	C₂²×#95	C₂⁴	1	8	yes	—
403	C₂⁶	#121	1	64	yes	complemented
404	C₂⁶	C₂²×D₄	1	4	yes	—
405	C₂⁶	C₂²×D₄	1	4	yes	—
406	C₂⁶	C₂²×D₄	1	4	yes	—
407	C₂⁶	C₂²×D₄	1	4	yes	—
408	C₂⁶	C₂²×D₄	1	16	yes	—
409	C₂⁶	C₂²×D₄	1	16	yes	—
410	C₂⁶	C₂²×D₄	1	8	yes	—
411	C₂⁶	C₂²×D₄	1	4	yes	—
412	C₂⁶	C₂²×D₄	1	4	yes	—
413	C₂⁶	C₂²×D₄	1	8	yes	—
414	C₂⁶	C₂²×D₄	1	4	yes	—
415	C₂⁶	C₂²×D₄	1	8	yes	—
416	C₂⁶	C₂²×D₄	1	4	yes	—
417	C₂⁶	C₂²×D₄	1	32	yes	—
418	C₂⁶	C₂²×D₄	1	16	yes	—
419	C₂⁶	C₂²×D₄	1	16	yes	—
420	C₂⁶	C₂²×D₄	1	4	yes	—
421	C₂⁶	C₂²×D₄	1	4	yes	—
422	C₂⁶	C₂²×D₄	1	8	yes	—
423	C₂⁶	C₂²×D₄	1	4	yes	—
424	C₂⁶	C₂²×D₄	1	4	yes	—
425	C₂⁶	C₂²×D₄	1	8	yes	—
426	C₂⁶	C₂²×D₄	1	16	yes	complemented
427	C₂⁶	C₂×#41	1	4	yes	—
428	C₂⁶	C₂×#41	1	4	yes	—
429	C₂⁶	C₂×#41	1	4	yes	—
430	C₂⁶	C₂×#41	1	4	yes	—
431	C₂⁶	C₂×#41	1	16	yes	—
432	C₂⁶	C₂×#41	1	4	yes	—
433	C₂⁶	C₂×#41	1	4	yes	—
434	C₂⁶	C₂×#41	1	4	yes	—
435	C₂⁶	H(5,𝔽₂)	1	16	yes	—
436	C₂⁶	H(5,𝔽₂)	1	8	yes	—
437	C₂⁶	H(5,𝔽₂)	1	8	yes	—
438	C₂⁶	H(5,𝔽₂)	1	8	yes	—
439	C₂⁶	C₂⁵	1	2	yes	—
440	C₂⁶	C₂⁵	1	2	yes	—
441	C₂⁶	C₂⁵	1	8	yes	—
442	C₂⁶	C₂⁵	1	2	yes	—
443	C₂⁶	C₂⁵	1	2	yes	—
444	C₂⁶	C₂⁵	1	2	yes	—
445	C₂⁶	C₂⁵	1	1	yes	characteristic
446	C₂³×D₄	#120	1	128	yes	—
447	C₂³×D₄	#120	1	64	yes	—
448	C₂³×D₄	#121	1	64	yes	—
449	C₂³×D₄	#121	1	128	yes	—
450	C₂³×D₄	#121	1	64	yes	complemented
451	C₂³×D₄	#127	1	64	yes	—
452	C₂³×D₄	C₂²×D₄	1	16	yes	—
453	C₂³×D₄	C₂²×D₄	1	16	yes	—
454	C₂³×D₄	C₂²×D₄	1	64	yes	—
455	C₂³×D₄	C₂²×D₄	1	32	yes	—
456	C₂³×D₄	C₂²×D₄	1	16	yes	—
457	C₂³×D₄	C₂²×D₄	1	16	yes	—
458	C₂³×D₄	C₂²×D₄	1	32	yes	—
459	C₂³×D₄	C₂²×D₄	1	32	yes	complemented
460	C₂³×D₄	C₂²×D₄	1	16	yes	complemented
461	C₂³×D₄	C₂²×D₄	1	16	yes	complemented
462	C₂³×D₄	C₂²×D₄	1	64	yes	complemented
463	C₂³×D₄	C₂×#41	1	16	yes	—
464	C₂³×D₄	C₂×#41	1	16	yes	—
465	C₂⁴×C₄	#120	1	64	yes	complemented
466	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
467	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
468	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
469	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
470	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
471	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
472	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
473	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
474	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
475	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
476	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
477	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
478	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
479	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
480	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
481	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
482	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
483	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
484	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
485	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
486	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
487	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
488	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
489	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
490	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
491	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
492	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
493	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
494	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
495	C₂⁴×C₄	C₂²×D₄	1	16	yes	complemented
496	C₂⁴×C₄	C₂²×D₄	1	16	yes	complemented
497	C₂⁴×C₄	C₂×#41	1	4	yes	—
498	C₂⁴×C₄	C₂×#41	1	4	yes	—
499	C₂⁴×C₄	H(5,𝔽₂)	1	16	yes	—
500	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
501	C₂⁴×C₄	C₂⁵	1	2	yes	—
502	C₂⁴×C₄	C₂⁵	1	2	yes	—
503	C₂⁴×C₄	C₂⁵	1	2	yes	—
504	C₂⁴×C₄	C₂⁵	1	8	yes	—
505	C₂⁴×C₄	C₂⁵	1	8	yes	—
506	C₂⁴×C₄	C₂⁵	1	2	yes	—
507	C₂⁴×C₄	C₂⁵	1	2	yes	—
508	C₂⁴×C₄	C₂⁵	1	2	yes	—
509	C₂⁴×C₄	C₂⁵	1	2	yes	—
510	C₂⁴×C₄	C₂⁵	1	2	yes	—
511	C₂⁴×C₄	C₂⁵	1	8	yes	—
512	C₂⁴×C₄	C₂⁵	1	2	yes	—
513	C₂⁴×C₄	C₂⁵	1	2	yes	—
514	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	complemented
515	C₂²×C₂²⋊C₄	#120	1	64	yes	complemented
516	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
517	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
518	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	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	16	yes	—
522	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
523	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
524	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
525	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
526	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
527	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
528	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
529	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
530	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
531	C₂²×C₄²	C₂²×D₄	1	16	yes	complemented
532	C₂×#95	C₂²×D₄	1	32	yes	complemented
533	C₂×#95	C₂²×D₄	1	64	yes	complemented
534	C₂×#95	C₂²×D₄	1	16	yes	complemented
535	C₂×#95	C₂²×D₄	1	16	yes	complemented
536	C₂⁵	C₂×#120	1	32	yes	—
537	C₂⁵	C₂×#120	1	16	yes	—
538	C₂⁵	C₂×#120	1	16	yes	—
539	C₂⁵	C₂×#120	1	16	yes	—
540	C₂⁵	C₂×#120	1	16	yes	—
541	C₂⁵	C₂×#120	1	32	yes	—
542	C₂⁵	C₂×#121	1	16	yes	—
543	C₂⁵	C₂×#121	1	16	yes	—
544	C₂⁵	C₂×#121	1	32	yes	—
545	C₂⁵	C₂×#121	1	16	yes	—
546	C₂⁵	C₂×#121	1	16	yes	—
547	C₂⁵	C₂×#121	1	16	yes	—
548	C₂⁵	C₂×#121	1	16	yes	—
549	C₂⁵	C₂×#121	1	16	yes	—
550	C₂⁵	C₂×#121	1	32	yes	—
551	C₂⁵	C₂×#121	1	64	yes	complemented
552	C₂⁵	#525	1	16	yes	—
553	C₂⁵	#525	1	16	yes	—
554	C₂⁵	#525	1	16	yes	—
555	C₂⁵	C₂×#127	1	16	yes	—
556	C₂⁵	C₂×#127	1	16	yes	—
557	C₂⁵	#534	1	16	yes	—
558	C₂⁵	#534	1	32	yes	—
559	C₂⁵	#535	1	16	yes	—
560	C₂⁵	#535	1	16	yes	—
561	C₂⁵	#538	1	32	yes	—
562	C₂⁵	D₄²	1	64	yes	—
563	C₂⁵	D₄²	1	32	yes	—
564	C₂⁵	D₄²	1	32	yes	—
565	C₂⁵	D₄²	1	32	yes	—
566	C₂⁵	D₄²	1	32	yes	—
567	C₂⁵	D₄²	1	32	yes	—
568	C₂⁵	#546	1	32	yes	—
569	C₂⁵	#546	1	32	yes	—
570	C₂⁵	#546	1	32	yes	—
571	C₂⁵	#546	1	32	yes	—
572	C₂⁵	#546	1	32	yes	—
573	C₂⁵	C₂³×D₄	1	4	yes	—
574	C₂⁵	C₂³×D₄	1	4	yes	—
575	C₂⁵	C₂³×D₄	1	4	yes	—
576	C₂⁵	C₂³×D₄	1	4	yes	—
577	C₂⁵	C₂³×D₄	1	16	yes	—
578	C₂⁵	C₂³×D₄	1	16	yes	—
579	C₂⁵	C₂³×D₄	1	4	yes	—
580	C₂⁵	C₂³×D₄	1	8	yes	—
581	C₂⁵	C₂³×D₄	1	8	yes	—
582	C₂⁵	C₂³×D₄	1	4	yes	—
583	C₂⁵	C₂³×D₄	1	4	yes	—
584	C₂⁵	C₂³×D₄	1	8	yes	—
585	C₂⁵	C₂³×D₄	1	4	yes	—
586	C₂⁵	C₂³×D₄	1	4	yes	—
587	C₂⁵	C₂³×D₄	1	4	yes	—
588	C₂⁵	C₂³×D₄	1	8	yes	—
589	C₂⁵	C₂³×D₄	1	4	yes	—
590	C₂⁵	C₂³×D₄	1	4	yes	—
591	C₂⁵	C₂³×D₄	1	8	yes	—
592	C₂⁵	C₂³×D₄	1	2	yes	—
593	C₂⁵	C₂³×D₄	1	2	yes	—
594	C₂⁵	C₂³×D₄	1	2	yes	—
595	C₂⁵	C₂³×D₄	1	4	yes	—
596	C₂⁵	C₂³×D₄	1	2	yes	—
597	C₂⁵	C₂³×D₄	1	4	yes	—
598	C₂⁵	C₂³×D₄	1	4	yes	—
599	C₂⁵	C₂²×#41	1	4	yes	—
600	C₂⁵	C₂²×#41	1	4	yes	—
601	C₂⁵	C₂²×#41	1	4	yes	—
602	C₂⁵	C₂²×#41	1	4	yes	—
603	C₂⁵	C₂²×#41	1	4	yes	—
604	C₂⁵	C₂²×#41	1	4	yes	—
605	C₂⁵	C₂²×#41	1	4	yes	—
606	C₂⁵	C₂²×#41	1	2	yes	—
607	C₂⁵	C₂²×#41	1	2	yes	—
608	C₂⁵	C₂²×#41	1	2	yes	—
609	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
610	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
611	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
612	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
613	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
614	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
615	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
616	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
617	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
618	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
619	C₂⁵	#585	1	4	yes	—
620	C₂⁵	C₂⁶	1	1	yes	characteristic
621	C₂²×D₄	#392	1	512	yes	complemented
622	C₂²×D₄	C₂×#120	1	64	yes	—
623	C₂²×D₄	C₂×#120	1	128	yes	—
624	C₂²×D₄	C₂×#121	1	128	yes	—
625	C₂²×D₄	C₂×#121	1	64	yes	—
626	C₂²×D₄	C₂×#121	1	64	yes	complemented
627	C₂²×D₄	C₂×#127	1	64	yes	—
628	C₂³×C₄	C₂×#120	1	16	yes	—
629	C₂³×C₄	C₂×#120	1	16	yes	—
630	C₂³×C₄	C₂×#120	1	16	yes	—
631	C₂³×C₄	C₂×#120	1	32	yes	—
632	C₂³×C₄	C₂×#120	1	16	yes	—
633	C₂³×C₄	C₂×#120	1	16	yes	—
634	C₂³×C₄	C₂×#120	1	64	yes	complemented
635	C₂³×C₄	C₂×#121	1	16	yes	—
636	C₂³×C₄	C₂×#121	1	32	yes	—
637	C₂³×C₄	C₂×#121	1	16	yes	—
638	C₂³×C₄	C₂×#127	1	16	yes	—
639	C₂³×C₄	#534	1	16	yes	—
640	C₂³×C₄	D₄²	1	64	yes	—
641	C₂³×C₄	D₄²	1	32	yes	—
642	C₂³×C₄	D₄²	1	32	yes	—
643	C₂³×C₄	C₂³×D₄	1	4	yes	—
644	C₂³×C₄	C₂³×D₄	1	4	yes	—
645	C₂³×C₄	C₂³×D₄	1	4	yes	—
646	C₂³×C₄	C₂³×D₄	1	4	yes	—
647	C₂³×C₄	C₂³×D₄	1	4	yes	—
648	C₂³×C₄	C₂³×D₄	1	16	yes	—
649	C₂³×C₄	C₂³×D₄	1	16	yes	—
650	C₂³×C₄	C₂³×D₄	1	4	yes	—
651	C₂³×C₄	C₂³×D₄	1	8	yes	—
652	C₂³×C₄	C₂³×D₄	1	4	yes	—
653	C₂³×C₄	C₂³×D₄	1	4	yes	—
654	C₂³×C₄	C₂³×D₄	1	4	yes	—
655	C₂³×C₄	C₂³×D₄	1	4	yes	—
656	C₂³×C₄	C₂³×D₄	1	4	yes	—
657	C₂³×C₄	C₂³×D₄	1	16	yes	—
658	C₂³×C₄	C₂³×D₄	1	16	yes	—
659	C₂³×C₄	C₂³×D₄	1	4	yes	—
660	C₂³×C₄	C₂³×D₄	1	8	yes	—
661	C₂³×C₄	C₂³×D₄	1	4	yes	—
662	C₂³×C₄	C₂³×D₄	1	4	yes	—
663	C₂³×C₄	C₂³×D₄	1	8	yes	—
664	C₂³×C₄	C₂³×D₄	1	4	yes	—
665	C₂³×C₄	C₂³×D₄	1	8	yes	—
666	C₂³×C₄	C₂³×D₄	1	4	yes	—
667	C₂³×C₄	C₂²×#41	1	4	yes	—
668	C₂³×C₄	C₂²×#41	1	4	yes	—
669	C₂³×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
670	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
671	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	complemented
672	C₂⁴	C₂×#392	1	64	yes	—
673	C₂⁴	C₂×#392	1	64	yes	complemented
674	C₂⁴	#2403	1	64	yes	—
675	C₂⁴	#2404	1	64	yes	—
676	C₂⁴	#2408	1	64	yes	complemented
677	C₂⁴	#2410	1	128	yes	—
678	C₂⁴	#2410	1	128	yes	—
679	C₂⁴	#2424	1	128	yes	—
680	C₂⁴	#2424	1	128	yes	—
681	C₂⁴	#2433	1	64	yes	—
682	C₂⁴	#2539	1	64	yes	—
683	C₂⁴	#2617	1	64	yes	—
684	C₂⁴	#2847	1	64	yes	—
685	C₂⁴	C₂²×#120	1	8	yes	—
686	C₂⁴	C₂²×#120	1	16	yes	—
687	C₂⁴	C₂²×#120	1	8	yes	—
688	C₂⁴	C₂²×#120	1	8	yes	—
689	C₂⁴	C₂²×#120	1	8	yes	—
690	C₂⁴	C₂²×#120	1	16	yes	—
691	C₂⁴	C₂²×#120	1	4	yes	—
692	C₂⁴	C₂²×#120	1	4	yes	—
693	C₂⁴	C₂²×#120	1	4	yes	—
694	C₂⁴	C₂²×#120	1	8	yes	—
695	C₂⁴	C₂²×#121	1	8	yes	—
696	C₂⁴	C₂²×#121	1	8	yes	—
697	C₂⁴	C₂²×#121	1	8	yes	—
698	C₂⁴	C₂²×#121	1	16	yes	—
699	C₂⁴	C₂²×#121	1	8	yes	—
700	C₂⁴	C₂²×#121	1	8	yes	—
701	C₂⁴	C₂²×#121	1	8	yes	—
702	C₂⁴	C₂²×#121	1	8	yes	—
703	C₂⁴	C₂²×#121	1	16	yes	—
704	C₂⁴	C₂²×#121	1	4	yes	—
705	C₂⁴	C₂²×#121	1	4	yes	—
706	C₂⁴	C₂²×#121	1	4	yes	—
707	C₂⁴	C₂²×#121	1	8	yes	—
708	C₂⁴	C₂×#525	1	8	yes	—
709	C₂⁴	C₂×#525	1	8	yes	—
710	C₂⁴	C₂×#525	1	8	yes	—
711	C₂⁴	C₂×#525	1	4	yes	—
712	C₂⁴	C₂×#525	1	4	yes	—
713	C₂⁴	C₂×#525	1	4	yes	—
714	C₂⁴	C₂²×#127	1	8	yes	—
715	C₂⁴	C₂²×#127	1	8	yes	—
716	C₂⁴	C₂²×#127	1	4	yes	—
717	C₂⁴	C₂×#534	1	8	yes	—
718	C₂⁴	C₂×#534	1	16	yes	—
719	C₂⁴	C₂×#534	1	4	yes	—
720	C₂⁴	C₂×#534	1	4	yes	—
721	C₂⁴	C₂×#534	1	8	yes	—
722	C₂⁴	C₂×#535	1	8	yes	—
723	C₂⁴	C₂×#535	1	8	yes	—
724	C₂⁴	C₂×#535	1	4	yes	—
725	C₂⁴	C₂×#535	1	4	yes	—
726	C₂⁴	#3449	1	4	yes	—
727	C₂⁴	C₂×#538	1	16	yes	—
728	C₂⁴	C₂×#538	1	8	yes	—
729	C₂⁴	C₂×D₄²	1	32	yes	—
730	C₂⁴	C₂×D₄²	1	16	yes	—
731	C₂⁴	C₂×D₄²	1	16	yes	—
732	C₂⁴	C₂×D₄²	1	16	yes	—
733	C₂⁴	C₂×D₄²	1	16	yes	—
734	C₂⁴	C₂×D₄²	1	16	yes	—
735	C₂⁴	C₂×D₄²	1	8	yes	—
736	C₂⁴	C₂×D₄²	1	8	yes	—
737	C₂⁴	C₂×D₄²	1	8	yes	—
738	C₂⁴	C₂×D₄²	1	8	yes	—
739	C₂⁴	C₂×D₄²	1	8	yes	—
740	C₂⁴	C₂×D₄²	1	16	yes	—
741	C₂⁴	C₂×D₄²	1	8	yes	—
742	C₂⁴	C₂×D₄²	1	8	yes	—
743	C₂⁴	C₂×D₄²	1	16	yes	—
744	C₂⁴	C₂×#546	1	16	yes	—
745	C₂⁴	C₂×#546	1	16	yes	—
746	C₂⁴	C₂×#546	1	16	yes	—
747	C₂⁴	C₂×#546	1	16	yes	—
748	C₂⁴	C₂×#546	1	16	yes	—
749	C₂⁴	C₂×#546	1	8	yes	—
750	C₂⁴	C₂×#546	1	8	yes	—
751	C₂⁴	C₂×#546	1	8	yes	—
752	C₂⁴	C₂×#546	1	8	yes	—
753	C₂⁴	C₂×#546	1	8	yes	—
754	C₂⁴	D₄×#41	1	8	yes	—
755	C₂⁴	D₄×#41	1	8	yes	—
756	C₂⁴	#3484	1	16	yes	—
757	C₂⁴	#3484	1	8	yes	—
758	C₂⁴	#3484	1	8	yes	—
759	C₂⁴	#3484	1	16	yes	—
760	C₂⁴	#3484	1	16	yes	—
761	C₂⁴	#3484	1	16	yes	—
762	C₂⁴	#3484	1	8	yes	—
763	C₂⁴	#3484	1	16	yes	—
764	C₂⁴	#3484	1	16	yes	—
765	C₂⁴	#3484	1	8	yes	—
766	C₂⁴	#3488	1	8	yes	—
767	C₂⁴	#3488	1	8	yes	—
768	C₂⁴	#3488	1	16	yes	—
769	C₂⁴	#3490	1	16	yes	—
770	C₂⁴	#3496	1	8	yes	—
771	C₂⁴	#3496	1	16	yes	—
772	C₂⁴	#3498	1	8	yes	—
773	C₂⁴	#3498	1	16	yes	—
774	C₂⁴	#3498	1	8	yes	—
775	C₂⁴	#3505	1	8	yes	—
776	C₂⁴	#3519	1	8	yes	—
777	C₂⁴	#3519	1	8	yes	—
778	C₂⁴	#3519	1	16	yes	—
779	C₂⁴	#3519	1	16	yes	—
780	C₂⁴	#3532	1	16	yes	—
781	C₂⁴	#3532	1	16	yes	—
782	C₂⁴	#3532	1	16	yes	—
783	C₂⁴	#3534	1	16	yes	—
784	C₂⁴	#3542	1	16	yes	—
785	C₂⁴	#3543	1	16	yes	—
786	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
787	C₂⁴	C₂⁴×D₄	1	2	yes	—
788	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
789	C₂⁴	C₂⁴×D₄	1	2	yes	—
790	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
791	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
792	C₂⁴	C₂⁴×D₄	1	2	yes	—
793	C₂⁴	C₂³×#41	1	1	yes	characteristic
794	C₂⁴	C₂³×#41	1	1	yes	characteristic
795	C₂⁴	C₂³×#41	1	1	yes	characteristic
796	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
797	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
798	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
799	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
800	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
801	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
802	C₂⁴	C₂×#585	1	2	yes	—
803	C₂×D₄	C₂×#392	1	256	yes	complemented
804	C₂²×C₄	C₂×#392	1	64	yes	complemented
805	C₂²×C₄	#2403	1	64	yes	complemented
806	C₂²×C₄	C₂²×#120	1	8	yes	—
807	C₂²×C₄	C₂²×#120	1	8	yes	—
808	C₂²×C₄	C₂²×#120	1	8	yes	—
809	C₂²×C₄	C₂²×#120	1	8	yes	—
810	C₂²×C₄	C₂²×#120	1	16	yes	—
811	C₂²×C₄	C₂²×#120	1	8	yes	—
812	C₂²×C₄	C₂²×#121	1	8	yes	—
813	C₂²×C₄	C₂²×#121	1	16	yes	—
814	C₂²×C₄	C₂²×#121	1	8	yes	—
815	C₂²×C₄	C₂²×#127	1	8	yes	—
816	C₂²×C₄	C₂×#534	1	8	yes	—
817	C₂²×C₄	C₂×D₄²	1	32	yes	—
818	C₂²×C₄	C₂×D₄²	1	16	yes	—
819	C₂²×C₄	C₂×D₄²	1	16	yes	—
820	C₂³	#14716	1	256	yes	complemented
821	C₂³	C₂²×#392	1	16	yes	—
822	C₂³	C₂²×#392	1	8	yes	—
823	C₂³	C₂²×#392	1	16	yes	complemented
824	C₂³	C₂×#2617	1	16	yes	—
825	C₂³	C₂×#2617	1	8	yes	—
826	C₂³	C₂×#2403	1	16	yes	—
827	C₂³	C₂×#2403	1	8	yes	—
828	C₂³	C₂×#2403	1	8	yes	—
829	C₂³	C₂×#2410	1	32	yes	—
830	C₂³	C₂×#2410	1	32	yes	—
831	C₂³	C₂×#2410	1	16	yes	—
832	C₂³	C₂×#2410	1	16	yes	—
833	C₂³	C₂×#2424	1	32	yes	—
834	C₂³	C₂×#2424	1	32	yes	—
835	C₂³	C₂×#2424	1	16	yes	—
836	C₂³	C₂×#2424	1	16	yes	—
837	C₂³	C₂×#2408	1	8	yes	—
838	C₂³	C₂×#2408	1	16	yes	complemented
839	C₂³	C₂×#2433	1	16	yes	—
840	C₂³	C₂×#2433	1	8	yes	—
841	C₂³	C₂×#2404	1	16	yes	—
842	C₂³	C₂×#2404	1	8	yes	—
843	C₂³	#34736	1	8	yes	—
844	C₂³	C₂×#2539	1	16	yes	—
845	C₂³	C₂×#2539	1	8	yes	—
846	C₂³	#35000	1	8	yes	—
847	C₂³	#35076	1	8	yes	—
848	C₂³	#35250	1	8	yes	—
849	C₂³	#35346	1	8	yes	—
850	C₂³	#35348	1	16	yes	—
851	C₂³	#35355	1	16	yes	—
852	C₂³	#35527	1	8	yes	—
853	C₂³	#35680	1	16	yes	—
854	C₂³	#35680	1	32	yes	—
855	C₂³	#35691	1	32	yes	—
856	C₂³	#35691	1	16	yes	—
857	C₂³	#35691	1	16	yes	—
858	C₂³	#35692	1	16	yes	—
859	C₂³	#35692	1	16	yes	—
860	C₂³	#35921	1	16	yes	—
861	C₂³	D₄×#120	1	16	yes	—
862	C₂³	D₄×#120	1	16	yes	—
863	C₂³	D₄×#120	1	16	yes	—
864	C₂³	D₄×#120	1	32	yes	—
865	C₂³	D₄×#121	1	32	yes	—
866	C₂³	D₄×#121	1	16	yes	—
867	C₂³	D₄×#121	1	16	yes	—
868	C₂³	#36096	1	16	yes	—
869	C₂³	#36096	1	16	yes	—
870	C₂³	D₄×#127	1	16	yes	—
871	C₂³	C₂×#2847	1	16	yes	—
872	C₂³	C₂×#2847	1	8	yes	—
873	C₂³	#37644	1	16	yes	—
874	C₂³	#37644	1	32	yes	—
875	C₂³	#37644	1	16	yes	—
876	C₂³	#37645	1	16	yes	—
877	C₂³	#37645	1	16	yes	—
878	C₂³	#37652	1	16	yes	—
879	C₂³	#37674	1	16	yes	—
880	C₂³	#37720	1	32	yes	—
881	C₂³	#39332	1	16	yes	—
882	C₂³	#39336	1	16	yes	—
883	C₂³	#40484	1	32	yes	—
884	C₂³	#40588	1	16	yes	—
885	C₂³	#40728	1	32	yes	—
886	C₂³	#41932	1	16	yes	—
887	C₂³	#42997	1	32	yes	—
888	C₂³	#43095	1	32	yes	—
889	C₂³	#43098	1	32	yes	—
890	C₂³	#43886	1	32	yes	—
891	C₂³	#43893	1	32	yes	—
892	C₂³	#43932	1	32	yes	—
893	C₂³	#58990	1	32	yes	—
894	C₂³	#58991	1	32	yes	—
895	C₂³	#58991	1	32	yes	—
896	C₂³	#59004	1	32	yes	—
897	C₂³	#59123	1	32	yes	—
898	C₂³	#59126	1	32	yes	—
899	C₂³	C₂³×#120	1	1	yes	characteristic
900	C₂³	C₂³×#120	1	1	yes	characteristic
901	C₂³	C₂³×#120	1	1	yes	characteristic
902	C₂³	C₂³×#120	1	2	yes	—
903	C₂³	C₂³×#121	1	1	yes	characteristic
904	C₂³	C₂³×#121	1	1	yes	characteristic
905	C₂³	C₂³×#121	1	2	yes	—
906	C₂³	C₂³×#121	1	1	yes	characteristic
907	C₂³	C₂²×#525	1	1	yes	characteristic
908	C₂³	C₂²×#525	1	1	yes	characteristic
909	C₂³	C₂²×#525	1	1	yes	characteristic
910	C₂³	C₂³×#127	1	1	yes	characteristic
911	C₂³	C₂²×#534	1	1	yes	characteristic
912	C₂³	C₂²×#534	1	1	yes	characteristic
913	C₂³	C₂²×#534	1	2	yes	—
914	C₂³	C₂²×#538	1	2	yes	—
915	C₂³	C₂²×#535	1	1	yes	characteristic
916	C₂³	C₂²×#535	1	1	yes	characteristic
917	C₂³	C₂×#3449	1	1	yes	characteristic
918	C₂³	C₂²×D₄²	1	2	yes	—
919	C₂³	C₂²×D₄²	1	2	yes	—
920	C₂³	C₂²×D₄²	1	4	yes	—
921	C₂³	C₂²×D₄²	1	2	yes	—
922	C₂³	C₂²×D₄²	1	2	yes	—
923	C₂³	C₂²×D₄²	1	2	yes	—
924	C₂³	C₂²×D₄²	1	2	yes	—
925	C₂³	C₂²×D₄²	1	2	yes	—
926	C₂³	C₂²×D₄²	1	4	yes	—
927	C₂³	C₂²×#546	1	2	yes	—
928	C₂³	C₂²×#546	1	2	yes	—
929	C₂³	C₂²×#546	1	2	yes	—
930	C₂³	C₂²×#546	1	2	yes	—
931	C₂³	C₂²×#546	1	2	yes	—
932	C₂³	C₂×D₄×#41	1	2	yes	—
933	C₂³	C₂×D₄×#41	1	2	yes	—
934	C₂³	C₂×#3532	1	4	yes	—
935	C₂³	C₂×#3532	1	4	yes	—
936	C₂³	C₂×#3532	1	4	yes	—
937	C₂³	C₂×#3542	1	4	yes	—
938	C₂³	C₂×#3534	1	4	yes	—
939	C₂³	C₂×#3543	1	4	yes	—
940	C₂³	C₂×#3484	1	4	yes	—
941	C₂³	C₂×#3484	1	4	yes	—
942	C₂³	C₂×#3484	1	4	yes	—
943	C₂³	C₂×#3484	1	4	yes	—
944	C₂³	C₂×#3484	1	2	yes	—
945	C₂³	C₂×#3484	1	2	yes	—
946	C₂³	C₂×#3484	1	2	yes	—
947	C₂³	C₂×#3484	1	4	yes	—
948	C₂³	C₂×#3484	1	2	yes	—
949	C₂³	C₂×#3484	1	4	yes	—
950	C₂³	C₂×#3496	1	4	yes	—
951	C₂³	C₂×#3496	1	2	yes	—
952	C₂³	C₂×#3490	1	4	yes	—
953	C₂³	C₂×#3505	1	2	yes	—
954	C₂³	C₂×#3519	1	2	yes	—
955	C₂³	C₂×#3519	1	4	yes	—
956	C₂³	C₂×#3519	1	2	yes	—
957	C₂³	C₂×#3519	1	4	yes	—
958	C₂³	C₂×#3488	1	2	yes	—
959	C₂³	C₂×#3488	1	4	yes	—
960	C₂³	C₂×#3488	1	2	yes	—
961	C₂³	C₂×#3498	1	2	yes	—
962	C₂³	C₂×#3498	1	4	yes	—
963	C₂³	C₂×#3498	1	2	yes	—
964	C₂×C₄	C₂²×#392	1	16	yes	complemented
965	C₂×C₄	C₂×#2403	1	16	yes	complemented
966	C₂²	C₂×#14716	1	16	yes	—
967	C₂²	C₂×#14716	1	32	yes	complemented
968	C₂²	#612431	1	16	yes	—
969	C₂²	#647656	1	16	yes	—
970	C₂²	#647670	1	32	yes	—
971	C₂²	#647842	1	32	yes	—
972	C₂²	#649038	1	16	yes	—
973	C₂²	#686202	1	16	yes	—
974	C₂²	#686214	1	32	yes	—
975	C₂²	#686390	1	32	yes	—
976	C₂²	#719142	1	16	yes	—
977	C₂²	#772794	1	64	yes	—
978	C₂²	#773894	1	64	yes	—
979	C₂²	#777314	1	32	yes	—
980	C₂²	#790151	1	32	yes	—
981	C₂²	#1393449	1	32	yes	—
982	C₂²	D₄×#392	1	32	yes	—
983	C₂²	#4928940	1	16	yes	—
984	C₂²	C₂³×#392	1	1	yes	characteristic
985	C₂²	C₂²×#2617	1	1	yes	characteristic
986	C₂²	C₂²×#2403	1	1	yes	characteristic
987	C₂²	C₂²×#2403	1	1	yes	characteristic
988	C₂²	C₂²×#2410	1	2	yes	—
989	C₂²	C₂²×#2410	1	2	yes	—
990	C₂²	C₂²×#2424	1	2	yes	—
991	C₂²	C₂²×#2424	1	2	yes	—
992	C₂²	C₂²×#2408	1	1	yes	characteristic
993	C₂²	C₂²×#2433	1	1	yes	characteristic
994	C₂²	C₂²×#2404	1	1	yes	characteristic
995	C₂²	C₂×#34736	1	1	yes	characteristic
996	C₂²	C₂²×#2539	1	1	yes	characteristic
997	C₂²	C₂×#35000	1	1	yes	characteristic
998	C₂²	C₂×#35076	1	1	yes	characteristic
999	C₂²	C₂×#35250	1	1	yes	characteristic
1000	C₂²	C₂×#35346	1	1	yes	characteristic
1001	C₂²	C₂×#35348	1	2	yes	—
1002	C₂²	C₂×#35355	1	2	yes	—
1003	C₂²	C₂×#35527	1	1	yes	characteristic
1004	C₂²	C₂×#35680	1	2	yes	—
1005	C₂²	C₂×#35680	1	4	yes	—
1006	C₂²	C₂×#35691	1	4	yes	—
1007	C₂²	C₂×#35691	1	2	yes	—
1008	C₂²	C₂×#35691	1	2	yes	—
1009	C₂²	C₂×#35692	1	2	yes	—
1010	C₂²	C₂×#35692	1	2	yes	—
1011	C₂²	C₂×#35921	1	2	yes	—
1012	C₂²	C₂×D₄×#120	1	2	yes	—
1013	C₂²	C₂×D₄×#120	1	4	yes	—
1014	C₂²	C₂×D₄×#120	1	2	yes	—
1015	C₂²	C₂×D₄×#120	1	2	yes	—
1016	C₂²	C₂×D₄×#121	1	4	yes	—
1017	C₂²	C₂×D₄×#121	1	2	yes	—
1018	C₂²	C₂×D₄×#121	1	2	yes	—
1019	C₂²	C₂×#36096	1	2	yes	—
1020	C₂²	C₂×#36096	1	2	yes	—
1021	C₂²	C₂×D₄×#127	1	2	yes	—
1022	C₂²	C₂²×#2847	1	1	yes	characteristic
1023	C₂²	C₂×#37644	1	2	yes	—
1024	C₂²	C₂×#37644	1	2	yes	—
1025	C₂²	C₂×#37644	1	4	yes	—
1026	C₂²	C₂×#37720	1	4	yes	—
1027	C₂²	C₂×#37645	1	2	yes	—
1028	C₂²	C₂×#37645	1	2	yes	—
1029	C₂²	C₂×#37674	1	2	yes	—
1030	C₂²	C₂×#37652	1	2	yes	—
1031	C₂²	C₂×#39332	1	2	yes	—
1032	C₂²	C₂×#39336	1	2	yes	—
1033	C₂²	C₂×#40484	1	4	yes	—
1034	C₂²	C₂×#40588	1	2	yes	—
1035	C₂²	C₂×#40728	1	4	yes	—
1036	C₂²	C₂×#41932	1	2	yes	—
1037	C₂²	C₂×#58990	1	4	yes	—
1038	C₂²	C₂×#58991	1	4	yes	—
1039	C₂²	C₂×#58991	1	4	yes	—
1040	C₂²	C₂×#59123	1	4	yes	—
1041	C₂²	C₂×#59004	1	4	yes	—
1042	C₂²	C₂×#59126	1	4	yes	—
1043	C₂²	C₂×#42997	1	4	yes	—
1044	C₂²	C₂×#43095	1	4	yes	—
1045	C₂²	C₂×#43098	1	4	yes	—
1046	C₂²	C₂×#43886	1	4	yes	—
1047	C₂²	C₂×#43932	1	4	yes	—
1048	C₂²	C₂×#43893	1	4	yes	—
1049	C₂	C₂×#647656	1	1	yes	characteristic
1050	C₂	C₂×D₄×#392	1	2	yes	—
1051	C₂	C₂×#772794	1	4	yes	—
1052	C₂	C₂×#686202	1	1	yes	characteristic
1053	C₂	C₂×#777314	1	2	yes	—
1054	C₂	C₂×#686214	1	2	yes	—
1055	C₂	C₂×#649038	1	1	yes	characteristic
1056	C₂	C₂²×#14716	1	1	yes	characteristic
1057	C₂	C₂×#647670	1	2	yes	—
1058	C₂	C₂×#647842	1	2	yes	—
1059	C₂	C₂×#719142	1	1	yes	characteristic
1060	C₂	#72278357	1	32	yes	direct product factor
1061	C₂	C₂×#773894	1	4	yes	—
1062	C₂	C₂×#790151	1	2	yes	—
1063	C₂	C₂×#4928940	1	1	yes	characteristic
1064	C₂	C₂×#612431	1	1	yes	characteristic
1065	C₂	C₂×#1393449	1	2	yes	—
1066	C₂	C₂×#686390	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×#154206	C₂	semidirect
2. C₂×#154635	C₂	semidirect
3. C₂×#158317	C₂	semidirect
4. C₂×#156707	C₂	semidirect
5. C₂×#158361	C₂	semidirect
6. C₂×#154095	C₂	semidirect
7. #72278357	C₂	direct (N × H)
8. C₂³×D₄×C₂²⋊C₄	C₂	semidirect
9. C₂²×#14716	C₂	semidirect
10. C₂³×#2408	C₂	semidirect
11. C₂²×#13967	C₂	semidirect
12. C₂×#156709	C₂	semidirect
13. C₂×#154094	C₂	semidirect
14. C₂×#156684	C₂	semidirect
15. C₂×#156706	C₂	semidirect
16. C₂×#154195	C₂	semidirect
17. C₂⁴×#392	C₂	semidirect
18. C₂²×#14715	C₂	semidirect
19. C₂×#153827	C₂	semidirect
20. C₂³×#2403	C₂	semidirect
23. C₂⁶×D₄	C₂²	semidirect
24. C₂⁴×#121	C₂²	semidirect
27. C₂⁴×#120	C₂²	semidirect
31. C₂⁵×C₂²⋊C₄	C₂²	semidirect
32. C₂⁵×C₂²⋊C₄	C₂²	semidirect
33. C₂²×#2408	C₂²	semidirect
34. C₂²×#2403	C₂²	semidirect
35. C₂³×#394	C₂²	semidirect
38. C₂³×#392	C₂²	semidirect
39. C₂³×#392	C₂²	semidirect
40. C₂³×#392	C₂²	semidirect
41. C₂³×#392	C₂²	semidirect
42. C₂³×#392	C₂²	semidirect
43. C₂³×#392	C₂²	semidirect
44. C₂³×#392	C₂²	semidirect
45. C₂³×#392	C₂²	semidirect
46. C₂²×D₄×C₂²⋊C₄	C₂²	semidirect
47. C₂³×#390	C₂²	semidirect
48. C₂³×#390	C₂²	semidirect
49. C₂³×#390	C₂²	semidirect
54. C₂³×#386	C₂²	semidirect
55. C₂³×#386	C₂²	semidirect
56. C₂³×#386	C₂²	semidirect
57. C₂³×#386	C₂²	semidirect
58. C₂³×#380	C₂²	semidirect
59. C₂³×#380	C₂²	semidirect
62. C₂³×#379	C₂²	semidirect
63. C₂³×#379	C₂²	semidirect
64. C₂³×#379	C₂²	semidirect
65. C₂³×C₄×C₂²⋊C₄	C₂²	semidirect
66. C₂⁴×#95	C₂²	semidirect
67. C₂×#14716	C₂²	semidirect
68. C₂×#14715	C₂²	semidirect
69. C₂×#13967	C₂²	semidirect
70. C₂²×#1439	C₂²	semidirect
71. C₂²×#1439	C₂²	semidirect
72. C₂²×#1439	C₂²	semidirect
73. C₂²×#1439	C₂²	semidirect
74. C₂²×#1438	C₂²	semidirect
75. C₂²×#1438	C₂²	semidirect
76. C₂²×#1438	C₂²	semidirect
77. C₂²×#1438	C₂²	semidirect
78. C₂²×#1438	C₂²	semidirect
79. C₂²×#1438	C₂²	semidirect
80. C₂²×#1438	C₂²	semidirect
81. C₂²×#1438	C₂²	semidirect
82. C₂²×#1438	C₂²	semidirect
83. C₂²×#1437	C₂²	semidirect
84. C₂²×C₂²⋊#95	C₂²	semidirect
85. C₂²×C₂²⋊#95	C₂²	semidirect
86. C₂²×C₂²⋊#95	C₂²	semidirect
87. C₂²×C₂²⋊#95	C₂²	semidirect
88. C₂²×C₂²⋊#95	C₂²	semidirect
89. #158361	C₂²	semidirect
90. #158317	C₂²	semidirect
91. #156709	C₂²	semidirect
92. #156707	C₂²	semidirect
93. #156706	C₂²	semidirect
94. #156684	C₂²	semidirect
95. #154635	C₂²	semidirect
96. #154206	C₂²	semidirect
97. #154195	C₂²	semidirect
98. #154095	C₂²	semidirect
99. #154094	C₂²	semidirect
100. #153827	C₂²	semidirect
101. C₂×#7557	C₂²	semidirect
102. C₂×#7557	C₂²	semidirect
103. C₂×#7556	C₂²	semidirect
104. C₂×#7555	C₂²	semidirect
105. C₂×#7555	C₂²	semidirect
106. C₂×#7555	C₂²	semidirect
107. C₂×#7555	C₂²	semidirect
108. C₂×#7555	C₂²	semidirect
109. C₂×#7555	C₂²	semidirect
110. C₂×#7554	C₂²	semidirect
114. C₂⁵×D₄	D₄	semidirect
127. C₂⁵×D₄	C₂³	semidirect
134. C₂³×#121	C₂³	semidirect
135. C₂³×#120	D₄	semidirect
138. C₂³×#120	C₂³	semidirect
139. C₂³×C₄×D₄	D₄	semidirect
145. C₂⁴×C₂²⋊C₄	D₄	semidirect
177. C₂⁴×C₂²⋊C₄	C₂³	semidirect
178. C₂⁴×C₂²⋊C₄	C₂³	semidirect
181. C₂²×#394	C₂³	semidirect
182. C₂²×#392	D₄	semidirect
185. C₂²×#392	C₂³	semidirect
186. C₂²×#392	C₂³	semidirect
187. C₂²×#392	C₂³	semidirect
188. C₂²×#392	C₂³	semidirect
189. C₂²×#392	C₂³	semidirect
190. C₂²×#392	C₂³	semidirect
191. C₂²×#392	C₂³	semidirect
192. C₂²×#390	C₂³	semidirect
193. C₂²×#390	C₂³	semidirect
194. C₂²×#390	C₂³	semidirect
195. C₂²×#386	D₄	semidirect
196. C₂²×#386	D₄	semidirect
201. C₂²×#386	C₂³	semidirect
202. C₂²×#386	C₂³	semidirect
203. C₂²×#386	C₂³	semidirect
204. C₂²×#386	C₂³	semidirect
205. C₂²×#380	C₂³	semidirect
206. C₂²×#380	C₂³	semidirect
209. C₂²×#379	C₂³	semidirect
210. C₂²×#379	C₂³	semidirect
211. C₂²×#379	C₂³	semidirect
212. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
230. C₂³×#95	C₂³	semidirect
231. C₂×#1439	C₂³	semidirect
232. C₂×#1439	C₂³	semidirect
233. C₂×#1439	C₂³	semidirect
234. C₂×#1439	C₂³	semidirect
235. C₂×#1438	C₂³	semidirect
236. C₂×#1438	C₂³	semidirect
237. C₂×#1438	C₂³	semidirect
238. C₂×#1438	C₂³	semidirect
239. C₂×#1438	C₂³	semidirect
240. C₂×#1438	C₂³	semidirect
241. C₂×#1438	C₂³	semidirect
242. C₂×#1438	C₂³	semidirect
243. C₂×#1438	C₂³	semidirect
244. C₂×#1437	C₂³	semidirect
245. C₂×C₂²⋊#95	C₂³	semidirect
246. C₂×C₂²⋊#95	C₂³	semidirect
247. C₂×C₂²⋊#95	C₂³	semidirect
248. C₂×C₂²⋊#95	C₂³	semidirect
249. C₂×C₂²⋊#95	C₂³	semidirect
250. #7557	C₂³	semidirect
251. #7557	C₂³	semidirect
252. #7556	C₂³	semidirect
253. #7555	C₂³	semidirect
254. #7555	C₂³	semidirect
255. #7555	C₂³	semidirect
256. #7555	C₂³	semidirect
257. #7555	C₂³	semidirect
258. #7555	C₂³	semidirect
259. #7554	C₂³	semidirect
263. C₂⁷	C₂×D₄	semidirect
281. C₂⁴×D₄	C₂×D₄	semidirect
282. C₂⁴×D₄	C₂×D₄	semidirect
283. C₂⁴×D₄	C₂×D₄	semidirect
284. C₂⁴×D₄	C₂×D₄	semidirect
285. C₂⁴×D₄	C₂×D₄	semidirect
303. C₂⁵×C₄	C₂×D₄	semidirect
304. C₂⁵×C₄	C₂×D₄	semidirect
324. C₂²×#120	C₂×D₄	semidirect
325. C₂²×C₄×D₄	C₂×D₄	semidirect
326. C₂³×C₄⋊C₄	C₂×D₄	semidirect
339. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
340. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
341. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
342. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
343. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
344. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
345. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
376. C₂³×C₄²	C₂×D₄	semidirect
379. C₂×#392	C₂×D₄	semidirect
380. C₂×#386	C₂×D₄	semidirect
381. C₂×#386	C₂×D₄	semidirect
382. C₂²×#95	C₂×D₄	semidirect
383. C₂²×#95	C₂×D₄	semidirect
384. C₂²×#95	C₂×D₄	semidirect
385. C₂²×#95	C₂×D₄	semidirect
403. C₂⁶	#121	semidirect
426. C₂⁶	C₂²×D₄	semidirect
450. C₂³×D₄	#121	semidirect
459. C₂³×D₄	C₂²×D₄	semidirect
460. C₂³×D₄	C₂²×D₄	semidirect
461. C₂³×D₄	C₂²×D₄	semidirect
462. C₂³×D₄	C₂²×D₄	semidirect
465. C₂⁴×C₄	#120	semidirect
495. C₂⁴×C₄	C₂²×D₄	semidirect
496. C₂⁴×C₄	C₂²×D₄	semidirect
514. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
515. C₂²×C₂²⋊C₄	#120	semidirect
525. C₂²×C₂²⋊C₄	C₂²×D₄	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
530. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
531. C₂²×C₄²	C₂²×D₄	semidirect
532. C₂×#95	C₂²×D₄	semidirect
533. C₂×#95	C₂²×D₄	semidirect
534. C₂×#95	C₂²×D₄	semidirect
535. C₂×#95	C₂²×D₄	semidirect
551. C₂⁵	C₂×#121	semidirect
621. C₂²×D₄	#392	semidirect
626. C₂²×D₄	C₂×#121	semidirect
634. C₂³×C₄	C₂×#120	semidirect
671. C₂×C₂²⋊C₄	C₂×#120	semidirect
673. C₂⁴	C₂×#392	semidirect
676. C₂⁴	#2408	semidirect
803. C₂×D₄	C₂×#392	semidirect
804. C₂²×C₄	C₂×#392	semidirect
805. C₂²×C₄	#2403	semidirect
820. C₂³	#14716	semidirect
823. C₂³	C₂²×#392	semidirect
838. C₂³	C₂×#2408	semidirect
964. C₂×C₄	C₂²×#392	semidirect
965. C₂×C₄	C₂×#2403	semidirect
967. C₂²	C₂×#14716	semidirect
1060. C₂	#72278357	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×#154206	2
C₂×#154635	2
C₂×#158317	2
C₂×#156707	2
C₂×#158361	2
C₂×#154095	2
#72278357	2
C₂³×D₄×C₂²⋊C₄	2
C₂²×#14716	2
C₂³×#2408	2
C₂²×#13967	2
C₂×#156709	2
C₂×#154094	2
C₂×#156684	2
C₂×#156706	2
C₂×#154195	2
C₂⁴×#392	2
C₂²×#14715	2
C₂×#153827	2
C₂³×#2403	2

Subgroups — C2×#72278357 #72320484

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72278357 #72320484