Subgroups — C₂³×#3514 #72301662

Order 1024.

515957 conjugacy classes of subgroups.

The subgroup lattice has 928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#3514	C₂	1	224	yes	maximal, direct product factor
2	C₂³×#559	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂³×#555	C₂	1	2	yes	maximal, complemented
4	C₂³×#556	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂³×#551	C₂	1	4	yes	maximal, complemented
6	C₂³×#548	C₂	1	2	yes	maximal, complemented
7	C₂³×#546	C₂	1	2	yes	maximal, complemented
8	C₂³×#546	C₂	1	2	yes	maximal, complemented
9	C₂³×D₄×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂³×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂³×#542	C₂	1	2	yes	maximal, complemented
12	C₂³×#538	C₂	1	4	yes	maximal, complemented
13	C₂³×#532	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂³×#529	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂³×#529	C₂	1	2	yes	maximal, complemented
16	C₂⁴×#124	C₂	1	2	yes	maximal, complemented
17	C₂³×#518	C₂	1	2	yes	maximal, complemented
18	C₂³×C₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂⁴×#41	C₂²	1	1	yes	characteristic
20	C₂⁴×#41	C₂²	1	2	yes	complemented
21	C₂⁵×Q₈	C₂²	1	2	yes	complemented
22	C₂⁵×D₄	C₂²	1	2	yes	—
23	C₂⁵×D₄	C₂²	1	2	yes	—
24	C₂×#3514	C₂²	1	7168	yes	direct product factor
25	C₂²×#559	C₂²	1	112	yes	complemented
26	C₂²×#555	C₂²	1	224	yes	complemented
27	C₂²×#556	C₂²	1	112	yes	complemented
28	C₂²×#551	C₂²	1	448	yes	complemented
29	C₂²×#548	C₂²	1	224	yes	complemented
30	C₂²×#546	C₂²	1	224	yes	complemented
31	C₂²×#546	C₂²	1	224	yes	complemented
32	C₂²×D₄×Q₈	C₂²	1	112	yes	complemented
33	C₂²×D₄²	C₂²	1	112	yes	complemented
34	C₂²×#542	C₂²	1	224	yes	complemented
35	C₂²×#538	C₂²	1	448	yes	complemented
36	C₂²×#532	C₂²	1	112	yes	complemented
37	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂³×C₄⋊Q₈	C₂²	1	2	yes	complemented
39	C₂³×#127	C₂²	1	1	yes	characteristic
40	C₂²×#529	C₂²	1	112	yes	complemented
41	C₂²×#529	C₂²	1	224	yes	complemented
42	C₂³×#126	C₂²	1	4	yes	complemented
43	C₂³×#126	C₂²	1	2	yes	complemented
44	C₂³×#126	C₂²	1	4	yes	complemented
45	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
46	C₂³×#124	C₂²	1	1	yes	characteristic
47	C₂³×#124	C₂²	1	2	yes	—
48	C₂³×#124	C₂²	1	2	yes	complemented
49	C₂³×#124	C₂²	1	4	yes	complemented
50	C₂³×#124	C₂²	1	2	yes	complemented
51	C₂³×#124	C₂²	1	4	yes	complemented
52	C₂³×#124	C₂²	1	4	yes	complemented
53	C₂³×#124	C₂²	1	2	yes	complemented
54	C₂³×#124	C₂²	1	224	yes	complemented
55	C₂³×#123	C₂²	1	2	yes	complemented
56	C₂³×#123	C₂²	1	4	yes	complemented
57	C₂³×#123	C₂²	1	4	yes	complemented
58	C₂³×#123	C₂²	1	4	yes	complemented
59	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
60	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
61	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	complemented
62	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
63	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	complemented
64	C₂³×#121	C₂²	1	2	yes	—
65	C₂³×#121	C₂²	1	1	yes	characteristic
66	C₂³×#121	C₂²	1	2	yes	—
67	C₂³×#121	C₂²	1	2	yes	complemented
68	C₂³×#121	C₂²	1	2	yes	complemented
69	C₂³×#121	C₂²	1	4	yes	complemented
70	C₂³×#121	C₂²	1	4	yes	complemented
71	C₂³×#120	C₂²	1	4	yes	—
72	C₂³×#120	C₂²	1	4	yes	complemented
73	C₂²×#518	C₂²	1	224	yes	complemented
74	C₂²×C₄×#41	C₂²	1	112	yes	complemented
75	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
76	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
77	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
78	C₂³×C₄×Q₈	C₂²	1	2	yes	complemented
79	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
80	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
81	C₂³×C₄×D₄	C₂²	1	2	yes	—
82	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
83	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
84	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
85	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
86	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
87	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
88	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
89	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
90	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
91	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
92	C₂³×#117	C₂²	1	2	yes	complemented
93	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
94	C₂³×#117	C₂²	1	2	yes	complemented
95	C₂³×#117	C₂²	1	2	yes	complemented
96	C₂³×#117	C₂²	1	4	yes	complemented
97	C₂⁴×C₂²⋊C₄	C₂²	1	4	yes	complemented
98	C₂⁴×C₂²⋊C₄	C₂²	1	4	yes	complemented
99	C₂⁴×C₂²⋊C₄	C₂²	1	4	yes	complemented
100	C₂⁴×C₄²	C₂²	1	2	yes	complemented
101	C₂⁴×C₄²	C₂²	1	1	yes	characteristic, complemented
102	C₂⁷	C₂³	1	4	yes	—
103	C₂³×#41	—	2	32	no	—
104	C₂³×#41	—	4	32	no	—
105	C₂³×#41	C₂³	1	56	yes	—
106	C₂³×#41	C₂³	1	112	yes	complemented
107	C₂⁴×Q₈	—	4	32	no	—
108	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
109	C₂⁴×Q₈	C₂³	1	2	yes	—
110	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
111	C₂⁴×Q₈	C₂³	1	4	yes	—
112	C₂⁴×Q₈	C₂³	1	112	yes	complemented
113	C₂⁴×D₄	—	2	64	no	—
114	C₂⁴×D₄	—	4	32	no	—
115	C₂⁴×D₄	C₂³	1	1	yes	characteristic
116	C₂⁴×D₄	C₂³	1	2	yes	—
117	C₂⁴×D₄	C₂³	1	4	yes	—
118	C₂⁴×D₄	C₂³	1	2	yes	—
119	C₂⁴×D₄	C₂³	1	112	yes	—
120	C₂⁴×D₄	C₂³	1	2	yes	—
121	C₂⁴×D₄	C₂³	1	4	yes	—
122	C₂⁴×D₄	C₂³	1	112	yes	—
123	C₂⁴×D₄	C₂³	1	4	yes	—
124	C₂⁴×D₄	C₂³	1	2	yes	—
125	C₂⁴×D₄	C₂³	1	2	yes	—
126	C₂⁴×D₄	C₂³	1	1	yes	characteristic
127	C₂⁵×C₄	C₂³	1	2	yes	—
128	C₂⁵×C₄	C₂³	1	2	yes	—
129	C₂⁵×C₄	C₂³	1	2	yes	—
130	C₂⁵×C₄	C₂³	1	1	yes	characteristic
131	C₂⁵×C₄	C₂³	1	1	yes	characteristic
132	C₂⁵×C₄	C₂³	1	4	yes	—
133	C₂⁵×C₄	C₂³	1	4	yes	—
134	C₂⁵×C₄	C₂³	1	2	yes	—
135	C₂⁵×C₄	C₂³	1	1	yes	characteristic
136	C₂⁵×C₄	C₂³	1	4	yes	—
137	#3514	C₂³	1	32768	yes	direct product factor
138	C₂×#559	C₂³	1	1792	yes	complemented
139	C₂×#556	C₂³	1	1792	yes	complemented
140	C₂×#555	C₂³	1	3584	yes	complemented
141	C₂×#551	C₂³	1	7168	yes	complemented
142	C₂×D₄×Q₈	C₂³	1	1792	yes	complemented
143	C₂×#548	C₂³	1	3584	yes	complemented
144	C₂×#546	C₂³	1	3584	yes	complemented
145	C₂×#546	C₂³	1	3584	yes	complemented
146	C₂×D₄²	C₂³	1	1792	yes	complemented
147	C₂×#542	C₂³	1	3584	yes	complemented
148	C₂×#538	C₂³	1	7168	yes	complemented
149	C₂×#532	C₂³	1	1792	yes	complemented
150	C₂²×C₄⋊Q₈	C₂³	1	56	yes	complemented
151	C₂²×C₄⋊Q₈	C₂³	1	112	yes	complemented
152	C₂²×#127	C₂³	1	56	yes	—
153	C₂×#529	C₂³	1	1792	yes	complemented
154	C₂×#529	C₂³	1	3584	yes	complemented
155	C₂²×#126	C₂³	1	224	yes	complemented
156	C₂²×#126	C₂³	1	112	yes	complemented
157	C₂²×#126	C₂³	1	224	yes	complemented
158	C₂²×#125	C₂³	1	56	yes	complemented
159	C₂²×#124	C₂³	1	56	yes	—
160	C₂²×#124	C₂³	1	112	yes	—
161	C₂²×#124	C₂³	1	112	yes	complemented
162	C₂²×#124	C₂³	1	224	yes	complemented
163	C₂²×#124	C₂³	1	112	yes	complemented
164	C₂²×#124	C₂³	1	224	yes	complemented
165	C₂²×#124	C₂³	1	224	yes	complemented
166	C₂²×#124	C₂³	1	112	yes	complemented
167	C₂²×#124	C₂³	1	3584	yes	complemented
168	C₂²×#123	C₂³	1	112	yes	complemented
169	C₂²×#123	C₂³	1	224	yes	complemented
170	C₂²×#123	C₂³	1	224	yes	complemented
171	C₂²×#123	C₂³	1	224	yes	complemented
172	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
173	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
174	C₂²×C₂²⋊Q₈	C₂³	1	224	yes	complemented
175	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
176	C₂²×C₂²⋊Q₈	C₂³	1	224	yes	complemented
177	C₂²×#121	C₂³	1	112	yes	—
178	C₂²×#121	C₂³	1	56	yes	—
179	C₂²×#121	C₂³	1	112	yes	—
180	C₂²×#121	C₂³	1	112	yes	complemented
181	C₂²×#121	C₂³	1	112	yes	complemented
182	C₂²×#121	C₂³	1	224	yes	complemented
183	C₂²×#121	C₂³	1	224	yes	complemented
184	C₂²×#120	C₂³	1	224	yes	—
185	C₂²×#120	C₂³	1	224	yes	complemented
186	C₂×#518	C₂³	1	3584	yes	complemented
187	C₂×C₄×#41	C₂³	1	1792	yes	complemented
188	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
189	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
190	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
191	C₂²×C₄×Q₈	C₂³	1	112	yes	complemented
192	C₂²×C₄×D₄	C₂³	1	56	yes	—
193	C₂²×C₄×D₄	C₂³	1	56	yes	—
194	C₂²×C₄×D₄	C₂³	1	112	yes	—
195	C₂²×C₄×D₄	C₂³	1	56	yes	—
196	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
197	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
198	C₂²×C₄×D₄	C₂³	1	224	yes	complemented
199	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
200	C₂²×C₄×D₄	C₂³	1	224	yes	complemented
201	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
202	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
203	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
204	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
205	C₂²×#117	C₂³	1	112	yes	complemented
206	C₂²×#117	C₂³	1	56	yes	complemented
207	C₂²×#117	C₂³	1	112	yes	complemented
208	C₂²×#117	C₂³	1	112	yes	complemented
209	C₂²×#117	C₂³	1	224	yes	complemented
210	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
212	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
213	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
215	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
216	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
217	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
218	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
219	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
222	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
223	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
224	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
227	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
230	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
231	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
232	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
233	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
234	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
235	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
238	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
239	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
240	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂³×C₂²⋊C₄	C₂³	1	224	yes	complemented
242	C₂³×C₂²⋊C₄	C₂³	1	224	yes	complemented
243	C₂³×C₂²⋊C₄	C₂³	1	224	yes	complemented
244	C₂³×C₄²	C₂³	1	1	yes	characteristic
245	C₂³×C₄²	C₂³	1	2	yes	—
246	C₂³×C₄²	C₂³	1	1	yes	characteristic
247	C₂³×C₄²	C₂³	1	1	yes	characteristic
248	C₂³×C₄²	C₂³	1	1	yes	characteristic
249	C₂³×C₄²	C₂³	1	2	yes	—
250	C₂³×C₄²	C₂³	1	2	yes	—
251	C₂³×C₄²	C₂³	1	4	yes	—
252	C₂³×C₄²	C₂³	1	2	yes	—
253	C₂³×C₄²	C₂³	1	112	yes	complemented
254	C₂³×C₄²	C₂³	1	56	yes	complemented
255	C₂⁶	—	2	64	no	—
256	C₂⁶	—	4	32	no	—
257	C₂⁶	—	4	32	no	—
258	C₂⁶	C₂⁴	1	1	yes	characteristic
259	C₂⁶	C₂⁴	1	4	yes	—
260	C₂⁶	C₂⁴	1	2	yes	—
261	C₂⁶	C₂⁴	1	2	yes	—
262	C₂⁶	C₂⁴	1	112	yes	—
263	C₂²×#41	—	2	896	no	—
264	C₂²×#41	—	4	896	no	—
265	C₂²×#41	C₂⁴	1	448	yes	—
266	C₂²×#41	C₂⁴	1	896	yes	complemented
267	C₂³×Q₈	—	2	16	no	—
268	C₂³×Q₈	—	2	16	no	—
269	C₂³×Q₈	—	2	32	no	—
270	C₂³×Q₈	—	4	32	no	—
271	C₂³×Q₈	—	4	896	no	—
272	C₂³×Q₈	C₂⁴	1	28	yes	—
273	C₂³×Q₈	C₂⁴	1	56	yes	—
274	C₂³×Q₈	C₂⁴	1	28	yes	—
275	C₂³×Q₈	C₂⁴	1	112	yes	—
276	C₂³×Q₈	C₂⁴	1	896	yes	complemented
277	C₂³×D₄	—	2	64	no	—
278	C₂³×D₄	—	2	32	no	—
279	C₂³×D₄	—	2	1792	no	—
280	C₂³×D₄	—	2	32	no	—
281	C₂³×D₄	—	2	16	no	—
282	C₂³×D₄	—	2	32	no	—
283	C₂³×D₄	—	4	896	no	—
284	C₂³×D₄	—	4	32	no	—
285	C₂³×D₄	—	4	16	no	—
286	C₂³×D₄	—	4	16	no	—
287	C₂³×D₄	—	4	32	no	—
288	C₂³×D₄	#41	1	32	yes	complemented
289	C₂³×D₄	C₂⁴	1	28	yes	—
290	C₂³×D₄	C₂⁴	1	56	yes	—
291	C₂³×D₄	C₂⁴	1	112	yes	—
292	C₂³×D₄	C₂⁴	1	56	yes	—
293	C₂³×D₄	C₂⁴	1	896	yes	—
294	C₂³×D₄	C₂⁴	1	56	yes	—
295	C₂³×D₄	C₂⁴	1	112	yes	—
296	C₂³×D₄	C₂⁴	1	896	yes	—
297	C₂³×D₄	C₂⁴	1	112	yes	—
298	C₂³×D₄	C₂⁴	1	56	yes	—
299	C₂³×D₄	C₂⁴	1	56	yes	—
300	C₂³×D₄	C₂⁴	1	28	yes	—
301	C₂⁴×C₄	—	2	32	no	—
302	C₂⁴×C₄	—	2	32	no	—
303	C₂⁴×C₄	—	2	16	no	—
304	C₂⁴×C₄	—	2	32	no	—
305	C₂⁴×C₄	—	2	16	no	—
306	C₂⁴×C₄	—	4	16	no	—
307	C₂⁴×C₄	—	4	32	no	—
308	C₂⁴×C₄	—	4	8	no	—
309	C₂⁴×C₄	—	4	32	no	—
310	C₂⁴×C₄	—	4	32	no	—
311	C₂⁴×C₄	C₂⁴	1	56	yes	—
312	C₂⁴×C₄	C₂⁴	1	56	yes	—
313	C₂⁴×C₄	C₂⁴	1	56	yes	—
314	C₂⁴×C₄	C₂⁴	1	28	yes	—
315	C₂⁴×C₄	C₂⁴	1	28	yes	—
316	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
317	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
318	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
319	C₂⁴×C₄	C₂⁴	1	2	yes	—
320	C₂⁴×C₄	C₂⁴	1	4	yes	—
321	C₂⁴×C₄	C₂⁴	1	2	yes	—
322	C₂⁴×C₄	C₂⁴	1	2	yes	—
323	C₂⁴×C₄	C₂⁴	1	2	yes	—
324	C₂⁴×C₄	C₂⁴	1	2	yes	—
325	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
326	C₂⁴×C₄	C₂⁴	1	2	yes	—
327	C₂⁴×C₄	C₂⁴	1	112	yes	—
328	C₂⁴×C₄	C₂⁴	1	112	yes	—
329	C₂⁴×C₄	C₂⁴	1	56	yes	—
330	C₂⁴×C₄	C₂⁴	1	28	yes	—
331	C₂⁴×C₄	C₂⁴	1	112	yes	—
332	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
333	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
334	#559	C₂⁴	1	4096	yes	complemented
335	#556	C₂⁴	1	4096	yes	complemented
336	#555	C₂⁴	1	8192	yes	complemented
337	#551	C₂⁴	1	16384	yes	complemented
338	D₄×Q₈	C₂⁴	1	4096	yes	complemented
339	#548	C₂⁴	1	8192	yes	complemented
340	#546	C₂⁴	1	8192	yes	complemented
341	#546	C₂⁴	1	8192	yes	complemented
342	D₄²	C₂⁴	1	4096	yes	complemented
343	#542	C₂⁴	1	8192	yes	complemented
344	#538	C₂⁴	1	16384	yes	complemented
345	#532	C₂⁴	1	4096	yes	complemented
346	C₂×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
347	C₂×C₄⋊Q₈	C₂⁴	1	896	yes	complemented
348	C₂×#127	C₂⁴	1	448	yes	—
349	#529	C₂⁴	1	4096	yes	complemented
350	#529	C₂⁴	1	8192	yes	complemented
351	C₂×#126	C₂⁴	1	1792	yes	complemented
352	C₂×#126	C₂⁴	1	896	yes	complemented
353	C₂×#126	C₂⁴	1	1792	yes	complemented
354	C₂×#125	C₂⁴	1	448	yes	complemented
355	C₂×#124	C₂⁴	1	448	yes	—
356	C₂×#124	C₂⁴	1	896	yes	—
357	C₂×#124	C₂⁴	1	896	yes	complemented
358	C₂×#124	C₂⁴	1	1792	yes	complemented
359	C₂×#124	C₂⁴	1	896	yes	complemented
360	C₂×#124	C₂⁴	1	1792	yes	complemented
361	C₂×#124	C₂⁴	1	1792	yes	complemented
362	C₂×#124	C₂⁴	1	896	yes	complemented
363	C₂×#124	C₂⁴	1	8192	yes	complemented
364	C₂×#123	C₂⁴	1	896	yes	complemented
365	C₂×#123	C₂⁴	1	1792	yes	complemented
366	C₂×#123	C₂⁴	1	1792	yes	complemented
367	C₂×#123	C₂⁴	1	1792	yes	complemented
368	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
369	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
370	C₂×C₂²⋊Q₈	C₂⁴	1	1792	yes	complemented
371	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
372	C₂×C₂²⋊Q₈	C₂⁴	1	1792	yes	complemented
373	C₂×#121	C₂⁴	1	896	yes	—
374	C₂×#121	C₂⁴	1	448	yes	—
375	C₂×#121	C₂⁴	1	896	yes	—
376	C₂×#121	C₂⁴	1	896	yes	complemented
377	C₂×#121	C₂⁴	1	896	yes	complemented
378	C₂×#121	C₂⁴	1	1792	yes	complemented
379	C₂×#121	C₂⁴	1	1792	yes	complemented
380	C₂×#120	C₂⁴	1	1792	yes	—
381	C₂×#120	C₂⁴	1	1792	yes	complemented
382	#518	C₂⁴	1	8192	yes	complemented
383	C₄×#41	C₂⁴	1	4096	yes	complemented
384	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
385	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
386	C₂×C₄×Q₈	C₂⁴	1	896	yes	complemented
387	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
388	C₂×C₄×D₄	C₂⁴	1	448	yes	—
389	C₂×C₄×D₄	C₂⁴	1	448	yes	—
390	C₂×C₄×D₄	C₂⁴	1	896	yes	—
391	C₂×C₄×D₄	C₂⁴	1	448	yes	—
392	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
393	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
394	C₂×C₄×D₄	C₂⁴	1	1792	yes	complemented
395	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
396	C₂×C₄×D₄	C₂⁴	1	1792	yes	complemented
397	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
398	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
399	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
400	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
401	C₂×#117	C₂⁴	1	896	yes	complemented
402	C₂×#117	C₂⁴	1	448	yes	complemented
403	C₂×#117	C₂⁴	1	896	yes	complemented
404	C₂×#117	C₂⁴	1	896	yes	complemented
405	C₂×#117	C₂⁴	1	1792	yes	complemented
406	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
407	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
408	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
409	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
410	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
411	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
412	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
413	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
414	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
415	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
416	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
417	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
418	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
419	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
420	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
421	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
422	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
423	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
424	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
425	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
426	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
427	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
428	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
429	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
430	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
431	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
432	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
433	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
434	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
435	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
436	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
437	C₂²×C₂²⋊C₄	C₂⁴	1	1792	yes	complemented
438	C₂²×C₂²⋊C₄	C₂⁴	1	1792	yes	complemented
439	C₂²×C₂²⋊C₄	C₂⁴	1	1792	yes	complemented
440	C₂²×C₄²	C₂⁴	1	28	yes	—
441	C₂²×C₄²	C₂⁴	1	56	yes	—
442	C₂²×C₄²	C₂⁴	1	28	yes	—
443	C₂²×C₄²	C₂⁴	1	28	yes	—
444	C₂²×C₄²	C₂⁴	1	28	yes	—
445	C₂²×C₄²	C₂⁴	1	56	yes	—
446	C₂²×C₄²	C₂⁴	1	56	yes	—
447	C₂²×C₄²	C₂⁴	1	112	yes	—
448	C₂²×C₄²	C₂⁴	1	56	yes	—
449	C₂²×C₄²	C₂⁴	1	896	yes	complemented
450	C₂²×C₄²	C₂⁴	1	448	yes	complemented
451	C₂⁵	—	2	16	no	—
452	C₂⁵	—	2	16	no	—
453	C₂⁵	—	2	8	no	—
454	C₂⁵	—	2	16	no	—
455	C₂⁵	—	2	32	no	—
456	C₂⁵	—	2	8	no	—
457	C₂⁵	—	2	32	no	—
458	C₂⁵	—	2	16	no	—
459	C₂⁵	—	2	8	no	—
460	C₂⁵	—	2	32	no	—
461	C₂⁵	—	2	16	no	—
462	C₂⁵	—	2	896	no	—
463	C₂⁵	—	4	448	no	—
464	C₂⁵	—	4	448	no	—
465	C₂⁵	—	8	512	no	—
466	C₂⁵	C₂×#41	1	32	yes	—
467	C₂⁵	C₂⁵	1	28	yes	—
468	C₂⁵	C₂⁵	1	56	yes	—
469	C₂⁵	C₂⁵	1	14	yes	—
470	C₂⁵	C₂⁵	1	28	yes	—
471	C₂⁵	C₂⁵	1	448	yes	—
472	C₂⁵	C₂⁵	1	1	yes	characteristic
473	C₂×#41	—	2	3584	no	—
474	C₂×#41	—	4	3584	no	—
475	C₂×#41	C₂⁵	1	512	yes	—
476	C₂×#41	C₂⁵	1	1024	yes	complemented
477	C₂²×Q₈	—	2	224	no	—
478	C₂²×Q₈	—	2	224	no	—
479	C₂²×Q₈	—	2	448	no	—
480	C₂²×Q₈	—	4	448	no	—
481	C₂²×Q₈	—	4	3584	no	—
482	C₂²×Q₈	C₂⁵	1	112	yes	—
483	C₂²×Q₈	C₂⁵	1	112	yes	—
484	C₂²×Q₈	C₂⁵	1	224	yes	—
485	C₂²×Q₈	C₂⁵	1	448	yes	—
486	C₂²×Q₈	C₂⁵	1	1024	yes	complemented
487	C₂²×D₄	—	2	896	no	—
488	C₂²×D₄	—	2	448	no	—
489	C₂²×D₄	—	2	7168	no	—
490	C₂²×D₄	—	2	448	no	—
491	C₂²×D₄	—	2	224	no	—
492	C₂²×D₄	—	2	448	no	—
493	C₂²×D₄	—	4	3584	no	—
494	C₂²×D₄	—	4	448	no	—
495	C₂²×D₄	—	4	224	no	—
496	C₂²×D₄	—	4	224	no	—
497	C₂²×D₄	—	4	448	no	—
498	C₂²×D₄	C₂×#41	1	448	yes	complemented
499	C₂²×D₄	C₂⁵	1	112	yes	—
500	C₂²×D₄	C₂⁵	1	448	yes	—
501	C₂²×D₄	C₂⁵	1	224	yes	—
502	C₂²×D₄	C₂⁵	1	224	yes	—
503	C₂²×D₄	C₂⁵	1	224	yes	—
504	C₂²×D₄	C₂⁵	1	1024	yes	—
505	C₂²×D₄	C₂⁵	1	224	yes	—
506	C₂²×D₄	C₂⁵	1	224	yes	—
507	C₂²×D₄	C₂⁵	1	448	yes	—
508	C₂²×D₄	C₂⁵	1	448	yes	—
509	C₂²×D₄	C₂⁵	1	1024	yes	—
510	C₂²×D₄	C₂⁵	1	112	yes	—
511	C₂³×C₄	—	2	8	no	—
512	C₂³×C₄	—	2	16	no	—
513	C₂³×C₄	—	2	16	no	—
514	C₂³×C₄	—	2	448	no	—
515	C₂³×C₄	—	2	8	no	—
516	C₂³×C₄	—	2	16	no	—
517	C₂³×C₄	—	2	32	no	—
518	C₂³×C₄	—	2	16	no	—
519	C₂³×C₄	—	2	8	no	—
520	C₂³×C₄	—	2	16	no	—
521	C₂³×C₄	—	2	16	no	—
522	C₂³×C₄	—	2	8	no	—
523	C₂³×C₄	—	2	448	no	—
524	C₂³×C₄	—	2	224	no	—
525	C₂³×C₄	—	2	448	no	—
526	C₂³×C₄	—	2	224	no	—
527	C₂³×C₄	—	4	224	no	—
528	C₂³×C₄	—	4	448	no	—
529	C₂³×C₄	—	4	112	no	—
530	C₂³×C₄	—	4	448	no	—
531	C₂³×C₄	—	4	448	no	—
532	C₂³×C₄	C₂×#41	1	16	yes	—
533	C₂³×C₄	H(5,𝔽₂)	1	16	yes	—
534	C₂³×C₄	C₂⁵	1	28	yes	—
535	C₂³×C₄	C₂⁵	1	28	yes	—
536	C₂³×C₄	C₂⁵	1	14	yes	—
537	C₂³×C₄	C₂⁵	1	28	yes	—
538	C₂³×C₄	C₂⁵	1	14	yes	—
539	C₂³×C₄	C₂⁵	1	28	yes	—
540	C₂³×C₄	C₂⁵	1	56	yes	—
541	C₂³×C₄	C₂⁵	1	28	yes	—
542	C₂³×C₄	C₂⁵	1	14	yes	—
543	C₂³×C₄	C₂⁵	1	14	yes	—
544	C₂³×C₄	C₂⁵	1	28	yes	—
545	C₂³×C₄	C₂⁵	1	224	yes	—
546	C₂³×C₄	C₂⁵	1	224	yes	—
547	C₂³×C₄	C₂⁵	1	112	yes	—
548	C₂³×C₄	C₂⁵	1	224	yes	—
549	C₂³×C₄	C₂⁵	1	112	yes	—
550	C₂³×C₄	C₂⁵	1	224	yes	—
551	C₂³×C₄	C₂⁵	1	448	yes	—
552	C₂³×C₄	C₂⁵	1	448	yes	—
553	C₂³×C₄	C₂⁵	1	448	yes	—
554	C₂³×C₄	C₂⁵	1	112	yes	—
555	C₂³×C₄	C₂⁵	1	14	yes	—
556	C₂³×C₄	C₂⁵	1	14	yes	—
557	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
558	C₄⋊Q₈	C₂⁵	1	1024	yes	complemented
559	#127	C₂⁵	1	512	yes	—
560	#126	C₂⁵	1	2048	yes	complemented
561	#126	C₂⁵	1	1024	yes	complemented
562	#126	C₂⁵	1	2048	yes	complemented
563	#125	C₂⁵	1	512	yes	complemented
564	#124	C₂⁵	1	512	yes	—
565	#124	C₂⁵	1	1024	yes	—
566	#124	C₂⁵	1	1024	yes	complemented
567	#124	C₂⁵	1	2048	yes	complemented
568	#124	C₂⁵	1	1024	yes	complemented
569	#124	C₂⁵	1	2048	yes	complemented
570	#124	C₂⁵	1	2048	yes	complemented
571	#124	C₂⁵	1	1024	yes	complemented
572	#123	C₂⁵	1	1024	yes	complemented
573	#123	C₂⁵	1	2048	yes	complemented
574	#123	C₂⁵	1	2048	yes	complemented
575	#123	C₂⁵	1	2048	yes	complemented
576	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
577	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
578	C₂²⋊Q₈	C₂⁵	1	2048	yes	complemented
579	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
580	C₂²⋊Q₈	C₂⁵	1	2048	yes	complemented
581	#121	C₂⁵	1	1024	yes	—
582	#121	C₂⁵	1	512	yes	—
583	#121	C₂⁵	1	1024	yes	—
584	#121	C₂⁵	1	1024	yes	complemented
585	#121	C₂⁵	1	1024	yes	complemented
586	#121	C₂⁵	1	2048	yes	complemented
587	#121	C₂⁵	1	2048	yes	complemented
588	#120	C₂⁵	1	2048	yes	—
589	#120	C₂⁵	1	2048	yes	complemented
590	C₄×Q₈	C₂⁵	1	512	yes	complemented
591	C₄×Q₈	C₂⁵	1	512	yes	complemented
592	C₄×Q₈	C₂⁵	1	1024	yes	complemented
593	C₄×Q₈	C₂⁵	1	512	yes	complemented
594	C₄×D₄	C₂⁵	1	512	yes	—
595	C₄×D₄	C₂⁵	1	512	yes	—
596	C₄×D₄	C₂⁵	1	1024	yes	—
597	C₄×D₄	C₂⁵	1	512	yes	—
598	C₄×D₄	C₂⁵	1	1024	yes	complemented
599	C₄×D₄	C₂⁵	1	1024	yes	complemented
600	C₄×D₄	C₂⁵	1	2048	yes	complemented
601	C₄×D₄	C₂⁵	1	1024	yes	complemented
602	C₄×D₄	C₂⁵	1	2048	yes	complemented
603	C₄×D₄	C₂⁵	1	1024	yes	complemented
604	C₄×D₄	C₂⁵	1	1024	yes	complemented
605	C₄×D₄	C₂⁵	1	1024	yes	complemented
606	C₄×D₄	C₂⁵	1	1024	yes	complemented
607	#117	C₂⁵	1	1024	yes	complemented
608	#117	C₂⁵	1	512	yes	complemented
609	#117	C₂⁵	1	1024	yes	complemented
610	#117	C₂⁵	1	1024	yes	complemented
611	#117	C₂⁵	1	2048	yes	complemented
612	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
613	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
614	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
615	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
616	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
617	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
618	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
619	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
620	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
621	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
622	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
623	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
624	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
625	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
626	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
627	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
628	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
629	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
630	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
631	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
632	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
633	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
634	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
635	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
636	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
637	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
638	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
639	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
640	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
641	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
642	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
643	C₂×C₂²⋊C₄	C₂⁵	1	2048	yes	complemented
644	C₂×C₂²⋊C₄	C₂⁵	1	2048	yes	complemented
645	C₂×C₂²⋊C₄	C₂⁵	1	2048	yes	complemented
646	C₂×C₄²	C₂⁵	1	224	yes	—
647	C₂×C₄²	C₂⁵	1	112	yes	—
648	C₂×C₄²	C₂⁵	1	448	yes	—
649	C₂×C₄²	C₂⁵	1	112	yes	—
650	C₂×C₄²	C₂⁵	1	224	yes	—
651	C₂×C₄²	C₂⁵	1	112	yes	—
652	C₂×C₄²	C₂⁵	1	224	yes	—
653	C₂×C₄²	C₂⁵	1	224	yes	—
654	C₂×C₄²	C₂⁵	1	112	yes	—
655	C₂×C₄²	C₂⁵	1	1024	yes	complemented
656	C₂×C₄²	C₂⁵	1	512	yes	complemented
657	C₂⁴	—	2	112	no	—
658	C₂⁴	—	2	112	no	—
659	C₂⁴	—	2	256	no	—
660	C₂⁴	—	2	56	no	—
661	C₂⁴	—	2	112	no	—
662	C₂⁴	—	2	224	no	—
663	C₂⁴	—	2	56	no	—
664	C₂⁴	—	2	224	no	—
665	C₂⁴	—	2	112	no	—
666	C₂⁴	—	2	56	no	—
667	C₂⁴	—	2	224	no	—
668	C₂⁴	—	2	112	no	—
669	C₂⁴	—	2	1792	no	—
670	C₂⁴	—	4	896	no	—
671	C₂⁴	—	4	896	no	—
672	C₂⁴	—	4	64	no	—
673	C₂⁴	—	4	256	no	—
674	C₂⁴	—	4	128	no	—
675	C₂⁴	—	8	3584	no	—
676	C₂⁴	C₂²×#41	1	224	yes	—
677	C₂⁴	C₂²×#41	1	8	yes	—
678	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
679	C₂⁴	#585	1	8	yes	—
680	C₂⁴	C₂⁶	1	56	yes	—
681	C₂⁴	C₂⁶	1	112	yes	—
682	C₂⁴	C₂⁶	1	28	yes	—
683	C₂⁴	C₂⁶	1	56	yes	—
684	C₂⁴	C₂⁶	1	256	yes	—
685	C₂⁴	C₂⁶	1	7	yes	—
686	#41	—	2	2048	no	—
687	#41	—	4	2048	no	—
688	C₂×Q₈	—	2	448	no	—
689	C₂×Q₈	—	2	448	no	—
690	C₂×Q₈	—	2	896	no	—
691	C₂×Q₈	—	4	896	no	—
692	C₂×Q₈	—	4	2048	no	—
693	C₂×Q₈	C₂⁶	1	64	yes	—
694	C₂×Q₈	C₂⁶	1	64	yes	—
695	C₂×Q₈	C₂⁶	1	128	yes	—
696	C₂×Q₈	C₂⁶	1	256	yes	—
697	C₂×D₄	—	2	1792	no	—
698	C₂×D₄	—	2	896	no	—
699	C₂×D₄	—	2	4096	no	—
700	C₂×D₄	—	2	896	no	—
701	C₂×D₄	—	2	448	no	—
702	C₂×D₄	—	2	896	no	—
703	C₂×D₄	—	4	2048	no	—
704	C₂×D₄	—	4	896	no	—
705	C₂×D₄	—	4	448	no	—
706	C₂×D₄	—	4	448	no	—
707	C₂×D₄	—	4	896	no	—
708	C₂×D₄	C₂²×#41	1	896	yes	complemented
709	C₂×D₄	C₂⁶	1	64	yes	—
710	C₂×D₄	C₂⁶	1	256	yes	—
711	C₂×D₄	C₂⁶	1	128	yes	—
712	C₂×D₄	C₂⁶	1	128	yes	—
713	C₂×D₄	C₂⁶	1	128	yes	—
714	C₂×D₄	C₂⁶	1	128	yes	—
715	C₂×D₄	C₂⁶	1	128	yes	—
716	C₂×D₄	C₂⁶	1	256	yes	—
717	C₂×D₄	C₂⁶	1	256	yes	—
718	C₂×D₄	C₂⁶	1	64	yes	—
719	C₂²×C₄	—	2	56	no	—
720	C₂²×C₄	—	2	112	no	—
721	C₂²×C₄	—	2	112	no	—
722	C₂²×C₄	—	2	896	no	—
723	C₂²×C₄	—	2	56	no	—
724	C₂²×C₄	—	2	112	no	—
725	C₂²×C₄	—	2	224	no	—
726	C₂²×C₄	—	2	112	no	—
727	C₂²×C₄	—	2	56	no	—
728	C₂²×C₄	—	2	112	no	—
729	C₂²×C₄	—	2	112	no	—
730	C₂²×C₄	—	2	56	no	—
731	C₂²×C₄	—	2	896	no	—
732	C₂²×C₄	—	2	448	no	—
733	C₂²×C₄	—	2	896	no	—
734	C₂²×C₄	—	2	448	no	—
735	C₂²×C₄	—	4	448	no	—
736	C₂²×C₄	—	4	896	no	—
737	C₂²×C₄	—	4	224	no	—
738	C₂²×C₄	—	4	896	no	—
739	C₂²×C₄	—	4	896	no	—
740	C₂²×C₄	C₂²×#41	1	112	yes	—
741	C₂²×C₄	C₂×H(5,𝔽₂)	1	112	yes	—
742	C₂²×C₄	C₂⁶	1	28	yes	—
743	C₂²×C₄	C₂⁶	1	56	yes	—
744	C₂²×C₄	C₂⁶	1	28	yes	—
745	C₂²×C₄	C₂⁶	1	56	yes	—
746	C₂²×C₄	C₂⁶	1	56	yes	—
747	C₂²×C₄	C₂⁶	1	28	yes	—
748	C₂²×C₄	C₂⁶	1	28	yes	—
749	C₂²×C₄	C₂⁶	1	56	yes	—
750	C₂²×C₄	C₂⁶	1	56	yes	—
751	C₂²×C₄	C₂⁶	1	56	yes	—
752	C₂²×C₄	C₂⁶	1	112	yes	—
753	C₂²×C₄	C₂⁶	1	128	yes	—
754	C₂²×C₄	C₂⁶	1	64	yes	—
755	C₂²×C₄	C₂⁶	1	128	yes	—
756	C₂²×C₄	C₂⁶	1	64	yes	—
757	C₂²×C₄	C₂⁶	1	128	yes	—
758	C₂²×C₄	C₂⁶	1	128	yes	—
759	C₂²×C₄	C₂⁶	1	64	yes	—
760	C₂²×C₄	C₂⁶	1	256	yes	—
761	C₂²×C₄	C₂⁶	1	256	yes	—
762	C₂²×C₄	C₂⁶	1	256	yes	—
763	C₂²×C₄	C₂⁶	1	28	yes	—
764	C₂²×C₄	C₂⁶	1	28	yes	—
765	C₄⋊C₄	C₂⁶	1	64	yes	—
766	C₄⋊C₄	C₂⁶	1	128	yes	—
767	C₄⋊C₄	C₂⁶	1	128	yes	—
768	C₄⋊C₄	C₂⁶	1	64	yes	—
769	C₄⋊C₄	C₂⁶	1	128	yes	—
770	C₄⋊C₄	C₂⁶	1	128	yes	—
771	C₄⋊C₄	C₂⁶	1	128	yes	—
772	C₄⋊C₄	C₂⁶	1	128	yes	—
773	C₄⋊C₄	C₂⁶	1	256	yes	—
774	C₄⋊C₄	C₂⁶	1	64	yes	—
775	C₄⋊C₄	C₂⁶	1	64	yes	—
776	C₄⋊C₄	C₂⁶	1	128	yes	—
777	C₄⋊C₄	C₂⁶	1	256	yes	—
778	C₄⋊C₄	C₂⁶	1	128	yes	—
779	C₂²⋊C₄	C₂⁶	1	128	yes	—
780	C₂²⋊C₄	C₂⁶	1	128	yes	—
781	C₂²⋊C₄	C₂⁶	1	256	yes	—
782	C₂²⋊C₄	C₂⁶	1	128	yes	—
783	C₂²⋊C₄	C₂⁶	1	128	yes	—
784	C₂²⋊C₄	C₂⁶	1	256	yes	—
785	C₂²⋊C₄	C₂⁶	1	256	yes	—
786	C₂²⋊C₄	C₂⁶	1	256	yes	—
787	C₂²⋊C₄	C₂⁶	1	256	yes	—
788	C₂²⋊C₄	C₂⁶	1	256	yes	—
789	C₂²⋊C₄	C₂⁶	1	256	yes	—
790	C₂²⋊C₄	C₂⁶	1	128	yes	—
791	C₂²⋊C₄	C₂⁶	1	128	yes	—
792	C₂²⋊C₄	C₂⁶	1	256	yes	—
793	C₂²⋊C₄	C₂⁶	1	128	yes	—
794	C₂²⋊C₄	C₂⁶	1	256	yes	—
795	C₂²⋊C₄	C₂⁶	1	128	yes	—
796	C₄²	C₂⁶	1	64	yes	—
797	C₄²	C₂⁶	1	128	yes	—
798	C₄²	C₂⁶	1	64	yes	—
799	C₄²	C₂⁶	1	64	yes	—
800	C₄²	C₂⁶	1	64	yes	—
801	C₄²	C₂⁶	1	128	yes	—
802	C₄²	C₂⁶	1	128	yes	—
803	C₄²	C₂⁶	1	256	yes	—
804	C₄²	C₂⁶	1	128	yes	—
805	C₂³	—	2	896	no	—
806	C₂³	—	2	112	no	—
807	C₂³	—	2	112	no	—
808	C₂³	—	2	56	no	—
809	C₂³	—	2	112	no	—
810	C₂³	—	2	224	no	—
811	C₂³	—	2	56	no	—
812	C₂³	—	2	224	no	—
813	C₂³	—	2	112	no	—
814	C₂³	—	2	56	no	—
815	C₂³	—	2	224	no	—
816	C₂³	—	2	112	no	—
817	C₂³	—	2	512	no	—
818	C₂³	—	4	256	no	—
819	C₂³	—	4	256	no	—
820	C₂³	—	4	224	no	—
821	C₂³	—	4	896	no	—
822	C₂³	—	4	448	no	—
823	C₂³	—	8	3584	no	—
824	C₂³	#3514	1	64	yes	direct product factor
825	C₂³	C₂³×#41	1	224	yes	—
826	C₂³	C₂³×#41	1	28	yes	—
827	C₂³	C₂²×H(5,𝔽₂)	1	28	yes	—
828	C₂³	C₂×#585	1	28	yes	—
829	C₂³	C₂⁷	1	16	yes	—
830	C₂³	C₂⁷	1	32	yes	—
831	C₂³	C₂⁷	1	8	yes	—
832	C₂³	C₂⁷	1	16	yes	—
833	C₂³	C₂⁷	1	7	yes	—
834	Q₈	—	2	128	no	—
835	Q₈	—	2	128	no	—
836	Q₈	—	2	256	no	—
837	Q₈	—	4	256	no	—
838	D₄	—	2	512	no	—
839	D₄	—	2	256	no	—
840	D₄	—	2	256	no	—
841	D₄	—	2	128	no	—
842	D₄	—	2	256	no	—
843	D₄	—	4	256	no	—
844	D₄	—	4	128	no	—
845	D₄	—	4	128	no	—
846	D₄	—	4	256	no	—
847	D₄	C₂³×#41	1	256	yes	complemented
848	C₂×C₄	—	2	56	no	—
849	C₂×C₄	—	2	112	no	—
850	C₂×C₄	—	2	112	no	—
851	C₂×C₄	—	2	256	no	—
852	C₂×C₄	—	2	56	no	—
853	C₂×C₄	—	2	112	no	—
854	C₂×C₄	—	2	224	no	—
855	C₂×C₄	—	2	112	no	—
856	C₂×C₄	—	2	56	no	—
857	C₂×C₄	—	2	112	no	—
858	C₂×C₄	—	2	112	no	—
859	C₂×C₄	—	2	56	no	—
860	C₂×C₄	—	2	256	no	—
861	C₂×C₄	—	2	128	no	—
862	C₂×C₄	—	2	256	no	—
863	C₂×C₄	—	2	128	no	—
864	C₂×C₄	—	4	128	no	—
865	C₂×C₄	—	4	256	no	—
866	C₂×C₄	—	4	64	no	—
867	C₂×C₄	—	4	256	no	—
868	C₂×C₄	—	4	256	no	—
869	C₂×C₄	C₂³×#41	1	112	yes	—
870	C₂×C₄	C₂²×H(5,𝔽₂)	1	112	yes	—
871	C₂×C₄	C₂⁷	1	8	yes	—
872	C₂×C₄	C₂⁷	1	8	yes	—
873	C₂×C₄	C₂⁷	1	16	yes	—
874	C₂×C₄	C₂⁷	1	16	yes	—
875	C₂×C₄	C₂⁷	1	16	yes	—
876	C₂×C₄	C₂⁷	1	8	yes	—
877	C₂×C₄	C₂⁷	1	8	yes	—
878	C₂×C₄	C₂⁷	1	16	yes	—
879	C₂×C₄	C₂⁷	1	16	yes	—
880	C₂×C₄	C₂⁷	1	16	yes	—
881	C₂×C₄	C₂⁷	1	32	yes	—
882	C₂×C₄	C₂⁷	1	8	yes	—
883	C₂×C₄	C₂⁷	1	8	yes	—
884	C₂²	—	2	448	no	—
885	C₂²	—	2	16	no	—
886	C₂²	—	2	16	no	—
887	C₂²	—	2	8	no	—
888	C₂²	—	2	16	no	—
889	C₂²	—	2	32	no	—
890	C₂²	—	2	8	no	—
891	C₂²	—	2	32	no	—
892	C₂²	—	2	16	no	—
893	C₂²	—	2	8	no	—
894	C₂²	—	2	32	no	—
895	C₂²	—	2	16	no	—
896	C₂²	—	4	112	no	—
897	C₂²	—	4	448	no	—
898	C₂²	—	4	224	no	—
899	C₂²	—	8	512	no	—
900	C₂²	C₂×#3514	1	112	yes	direct product factor
901	C₂²	C₂⁴×#41	1	32	yes	—
902	C₂²	C₂⁴×#41	1	14	yes	—
903	C₂²	C₂³×H(5,𝔽₂)	1	14	yes	—
904	C₂²	C₂²×#585	1	14	yes	—
905	C₂²	C₂⁸	1	1	yes	characteristic
906	C₄	—	2	8	no	—
907	C₄	—	2	16	no	—
908	C₄	—	2	16	no	—
909	C₄	—	2	8	no	—
910	C₄	—	2	16	no	—
911	C₄	—	2	32	no	—
912	C₄	—	2	16	no	—
913	C₄	—	2	8	no	—
914	C₄	—	2	16	no	—
915	C₄	—	2	16	no	—
916	C₄	—	2	8	no	—
917	C₄	C₂⁴×#41	1	16	yes	—
918	C₄	C₂³×H(5,𝔽₂)	1	16	yes	—
919	C₂	—	2	32	no	—
920	C₂	—	4	8	no	—
921	C₂	—	4	32	no	—
922	C₂	—	4	16	no	—
923	C₂	C₂²×#3514	1	28	yes	direct product factor
924	C₂	C₂⁵×#41	1	1	yes	characteristic
925	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
926	C₂	C₂³×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁵	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁸
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁵ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂²×#3514	C₂	direct (N × H)
2. C₂³×#559	C₂	semidirect
3. C₂³×#555	C₂	semidirect
4. C₂³×#556	C₂	semidirect
5. C₂³×#551	C₂	semidirect
6. C₂³×#548	C₂	semidirect
7. C₂³×#546	C₂	semidirect
8. C₂³×#546	C₂	semidirect
9. C₂³×D₄×Q₈	C₂	semidirect
10. C₂³×D₄²	C₂	semidirect
11. C₂³×#542	C₂	semidirect
12. C₂³×#538	C₂	semidirect
13. C₂³×#532	C₂	semidirect
14. C₂³×#529	C₂	semidirect
15. C₂³×#529	C₂	semidirect
16. C₂⁴×#124	C₂	semidirect
17. C₂³×#518	C₂	semidirect
18. C₂³×C₄×#41	C₂	semidirect
20. C₂⁴×#41	C₂²	semidirect
21. C₂⁵×Q₈	C₂²	semidirect
24. C₂×#3514	C₂²	direct (N × H)
25. C₂²×#559	C₂²	semidirect
26. C₂²×#555	C₂²	semidirect
27. C₂²×#556	C₂²	semidirect
28. C₂²×#551	C₂²	semidirect
29. C₂²×#548	C₂²	semidirect
30. C₂²×#546	C₂²	semidirect
31. C₂²×#546	C₂²	semidirect
32. C₂²×D₄×Q₈	C₂²	semidirect
33. C₂²×D₄²	C₂²	semidirect
34. C₂²×#542	C₂²	semidirect
35. C₂²×#538	C₂²	semidirect
36. C₂²×#532	C₂²	semidirect
37. C₂³×C₄⋊Q₈	C₂²	semidirect
38. C₂³×C₄⋊Q₈	C₂²	semidirect
40. C₂²×#529	C₂²	semidirect
41. C₂²×#529	C₂²	semidirect
42. C₂³×#126	C₂²	semidirect
43. C₂³×#126	C₂²	semidirect
44. C₂³×#126	C₂²	semidirect
45. C₂³×#125	C₂²	semidirect
48. C₂³×#124	C₂²	semidirect
49. C₂³×#124	C₂²	semidirect
50. C₂³×#124	C₂²	semidirect
51. C₂³×#124	C₂²	semidirect
52. C₂³×#124	C₂²	semidirect
53. C₂³×#124	C₂²	semidirect
54. C₂³×#124	C₂²	semidirect
55. C₂³×#123	C₂²	semidirect
56. C₂³×#123	C₂²	semidirect
57. C₂³×#123	C₂²	semidirect
58. C₂³×#123	C₂²	semidirect
59. C₂³×C₂²⋊Q₈	C₂²	semidirect
60. C₂³×C₂²⋊Q₈	C₂²	semidirect
61. C₂³×C₂²⋊Q₈	C₂²	semidirect
62. C₂³×C₂²⋊Q₈	C₂²	semidirect
63. C₂³×C₂²⋊Q₈	C₂²	semidirect
67. C₂³×#121	C₂²	semidirect
68. C₂³×#121	C₂²	semidirect
69. C₂³×#121	C₂²	semidirect
70. C₂³×#121	C₂²	semidirect
72. C₂³×#120	C₂²	semidirect
73. C₂²×#518	C₂²	semidirect
74. C₂²×C₄×#41	C₂²	semidirect
75. C₂³×C₄×Q₈	C₂²	semidirect
76. C₂³×C₄×Q₈	C₂²	semidirect
77. C₂³×C₄×Q₈	C₂²	semidirect
78. C₂³×C₄×Q₈	C₂²	semidirect
83. C₂³×C₄×D₄	C₂²	semidirect
84. C₂³×C₄×D₄	C₂²	semidirect
85. C₂³×C₄×D₄	C₂²	semidirect
86. C₂³×C₄×D₄	C₂²	semidirect
87. C₂³×C₄×D₄	C₂²	semidirect
88. C₂³×C₄×D₄	C₂²	semidirect
89. C₂³×C₄×D₄	C₂²	semidirect
90. C₂³×C₄×D₄	C₂²	semidirect
91. C₂³×C₄×D₄	C₂²	semidirect
92. C₂³×#117	C₂²	semidirect
93. C₂³×#117	C₂²	semidirect
94. C₂³×#117	C₂²	semidirect
95. C₂³×#117	C₂²	semidirect
96. C₂³×#117	C₂²	semidirect
97. C₂⁴×C₂²⋊C₄	C₂²	semidirect
98. C₂⁴×C₂²⋊C₄	C₂²	semidirect
99. C₂⁴×C₂²⋊C₄	C₂²	semidirect
100. C₂⁴×C₄²	C₂²	semidirect
101. C₂⁴×C₄²	C₂²	semidirect
106. C₂³×#41	C₂³	semidirect
112. C₂⁴×Q₈	C₂³	semidirect
137. #3514	C₂³	direct (N × H)
138. C₂×#559	C₂³	semidirect
139. C₂×#556	C₂³	semidirect
140. C₂×#555	C₂³	semidirect
141. C₂×#551	C₂³	semidirect
142. C₂×D₄×Q₈	C₂³	semidirect
143. C₂×#548	C₂³	semidirect
144. C₂×#546	C₂³	semidirect
145. C₂×#546	C₂³	semidirect
146. C₂×D₄²	C₂³	semidirect
147. C₂×#542	C₂³	semidirect
148. C₂×#538	C₂³	semidirect
149. C₂×#532	C₂³	semidirect
150. C₂²×C₄⋊Q₈	C₂³	semidirect
151. C₂²×C₄⋊Q₈	C₂³	semidirect
153. C₂×#529	C₂³	semidirect
154. C₂×#529	C₂³	semidirect
155. C₂²×#126	C₂³	semidirect
156. C₂²×#126	C₂³	semidirect
157. C₂²×#126	C₂³	semidirect
158. C₂²×#125	C₂³	semidirect
161. C₂²×#124	C₂³	semidirect
162. C₂²×#124	C₂³	semidirect
163. C₂²×#124	C₂³	semidirect
164. C₂²×#124	C₂³	semidirect
165. C₂²×#124	C₂³	semidirect
166. C₂²×#124	C₂³	semidirect
167. C₂²×#124	C₂³	semidirect
168. C₂²×#123	C₂³	semidirect
169. C₂²×#123	C₂³	semidirect
170. C₂²×#123	C₂³	semidirect
171. C₂²×#123	C₂³	semidirect
172. C₂²×C₂²⋊Q₈	C₂³	semidirect
173. C₂²×C₂²⋊Q₈	C₂³	semidirect
174. C₂²×C₂²⋊Q₈	C₂³	semidirect
175. C₂²×C₂²⋊Q₈	C₂³	semidirect
176. C₂²×C₂²⋊Q₈	C₂³	semidirect
180. C₂²×#121	C₂³	semidirect
181. C₂²×#121	C₂³	semidirect
182. C₂²×#121	C₂³	semidirect
183. C₂²×#121	C₂³	semidirect
185. C₂²×#120	C₂³	semidirect
186. C₂×#518	C₂³	semidirect
187. C₂×C₄×#41	C₂³	semidirect
188. C₂²×C₄×Q₈	C₂³	semidirect
189. C₂²×C₄×Q₈	C₂³	semidirect
190. C₂²×C₄×Q₈	C₂³	semidirect
191. C₂²×C₄×Q₈	C₂³	semidirect
196. C₂²×C₄×D₄	C₂³	semidirect
197. C₂²×C₄×D₄	C₂³	semidirect
198. C₂²×C₄×D₄	C₂³	semidirect
199. C₂²×C₄×D₄	C₂³	semidirect
200. C₂²×C₄×D₄	C₂³	semidirect
201. C₂²×C₄×D₄	C₂³	semidirect
202. C₂²×C₄×D₄	C₂³	semidirect
203. C₂²×C₄×D₄	C₂³	semidirect
204. C₂²×C₄×D₄	C₂³	semidirect
205. C₂²×#117	C₂³	semidirect
206. C₂²×#117	C₂³	semidirect
207. C₂²×#117	C₂³	semidirect
208. C₂²×#117	C₂³	semidirect
209. C₂²×#117	C₂³	semidirect
241. C₂³×C₂²⋊C₄	C₂³	semidirect
242. C₂³×C₂²⋊C₄	C₂³	semidirect
243. C₂³×C₂²⋊C₄	C₂³	semidirect
253. C₂³×C₄²	C₂³	semidirect
254. C₂³×C₄²	C₂³	semidirect
266. C₂²×#41	C₂⁴	semidirect
276. C₂³×Q₈	C₂⁴	semidirect
288. C₂³×D₄	#41	semidirect
334. #559	C₂⁴	semidirect
335. #556	C₂⁴	semidirect
336. #555	C₂⁴	semidirect
337. #551	C₂⁴	semidirect
338. D₄×Q₈	C₂⁴	semidirect
339. #548	C₂⁴	semidirect
340. #546	C₂⁴	semidirect
341. #546	C₂⁴	semidirect
342. D₄²	C₂⁴	semidirect
343. #542	C₂⁴	semidirect
344. #538	C₂⁴	semidirect
345. #532	C₂⁴	semidirect
346. C₂×C₄⋊Q₈	C₂⁴	semidirect
347. C₂×C₄⋊Q₈	C₂⁴	semidirect
349. #529	C₂⁴	semidirect
350. #529	C₂⁴	semidirect
351. C₂×#126	C₂⁴	semidirect
352. C₂×#126	C₂⁴	semidirect
353. C₂×#126	C₂⁴	semidirect
354. C₂×#125	C₂⁴	semidirect
357. C₂×#124	C₂⁴	semidirect
358. C₂×#124	C₂⁴	semidirect
359. C₂×#124	C₂⁴	semidirect
360. C₂×#124	C₂⁴	semidirect
361. C₂×#124	C₂⁴	semidirect
362. C₂×#124	C₂⁴	semidirect
363. C₂×#124	C₂⁴	semidirect
364. C₂×#123	C₂⁴	semidirect
365. C₂×#123	C₂⁴	semidirect
366. C₂×#123	C₂⁴	semidirect
367. C₂×#123	C₂⁴	semidirect
368. C₂×C₂²⋊Q₈	C₂⁴	semidirect
369. C₂×C₂²⋊Q₈	C₂⁴	semidirect
370. C₂×C₂²⋊Q₈	C₂⁴	semidirect
371. C₂×C₂²⋊Q₈	C₂⁴	semidirect
372. C₂×C₂²⋊Q₈	C₂⁴	semidirect
376. C₂×#121	C₂⁴	semidirect
377. C₂×#121	C₂⁴	semidirect
378. C₂×#121	C₂⁴	semidirect
379. C₂×#121	C₂⁴	semidirect
381. C₂×#120	C₂⁴	semidirect
382. #518	C₂⁴	semidirect
383. C₄×#41	C₂⁴	semidirect
384. C₂×C₄×Q₈	C₂⁴	semidirect
385. C₂×C₄×Q₈	C₂⁴	semidirect
386. C₂×C₄×Q₈	C₂⁴	semidirect
387. C₂×C₄×Q₈	C₂⁴	semidirect
392. C₂×C₄×D₄	C₂⁴	semidirect
393. C₂×C₄×D₄	C₂⁴	semidirect
394. C₂×C₄×D₄	C₂⁴	semidirect
395. C₂×C₄×D₄	C₂⁴	semidirect
396. C₂×C₄×D₄	C₂⁴	semidirect
397. C₂×C₄×D₄	C₂⁴	semidirect
398. C₂×C₄×D₄	C₂⁴	semidirect
399. C₂×C₄×D₄	C₂⁴	semidirect
400. C₂×C₄×D₄	C₂⁴	semidirect
401. C₂×#117	C₂⁴	semidirect
402. C₂×#117	C₂⁴	semidirect
403. C₂×#117	C₂⁴	semidirect
404. C₂×#117	C₂⁴	semidirect
405. C₂×#117	C₂⁴	semidirect
437. C₂²×C₂²⋊C₄	C₂⁴	semidirect
438. C₂²×C₂²⋊C₄	C₂⁴	semidirect
439. C₂²×C₂²⋊C₄	C₂⁴	semidirect
449. C₂²×C₄²	C₂⁴	semidirect
450. C₂²×C₄²	C₂⁴	semidirect
476. C₂×#41	C₂⁵	semidirect
486. C₂²×Q₈	C₂⁵	semidirect
498. C₂²×D₄	C₂×#41	semidirect
557. C₄⋊Q₈	C₂⁵	semidirect
558. C₄⋊Q₈	C₂⁵	semidirect
560. #126	C₂⁵	semidirect
561. #126	C₂⁵	semidirect
562. #126	C₂⁵	semidirect
563. #125	C₂⁵	semidirect
566. #124	C₂⁵	semidirect
567. #124	C₂⁵	semidirect
568. #124	C₂⁵	semidirect
569. #124	C₂⁵	semidirect
570. #124	C₂⁵	semidirect
571. #124	C₂⁵	semidirect
572. #123	C₂⁵	semidirect
573. #123	C₂⁵	semidirect
574. #123	C₂⁵	semidirect
575. #123	C₂⁵	semidirect
576. C₂²⋊Q₈	C₂⁵	semidirect
577. C₂²⋊Q₈	C₂⁵	semidirect
578. C₂²⋊Q₈	C₂⁵	semidirect
579. C₂²⋊Q₈	C₂⁵	semidirect
580. C₂²⋊Q₈	C₂⁵	semidirect
584. #121	C₂⁵	semidirect
585. #121	C₂⁵	semidirect
586. #121	C₂⁵	semidirect
587. #121	C₂⁵	semidirect
589. #120	C₂⁵	semidirect
590. C₄×Q₈	C₂⁵	semidirect
591. C₄×Q₈	C₂⁵	semidirect
592. C₄×Q₈	C₂⁵	semidirect
593. C₄×Q₈	C₂⁵	semidirect
598. C₄×D₄	C₂⁵	semidirect
599. C₄×D₄	C₂⁵	semidirect
600. C₄×D₄	C₂⁵	semidirect
601. C₄×D₄	C₂⁵	semidirect
602. C₄×D₄	C₂⁵	semidirect
603. C₄×D₄	C₂⁵	semidirect
604. C₄×D₄	C₂⁵	semidirect
605. C₄×D₄	C₂⁵	semidirect
606. C₄×D₄	C₂⁵	semidirect
607. #117	C₂⁵	semidirect
608. #117	C₂⁵	semidirect
609. #117	C₂⁵	semidirect
610. #117	C₂⁵	semidirect
611. #117	C₂⁵	semidirect
643. C₂×C₂²⋊C₄	C₂⁵	semidirect
644. C₂×C₂²⋊C₄	C₂⁵	semidirect
645. C₂×C₂²⋊C₄	C₂⁵	semidirect
655. C₂×C₄²	C₂⁵	semidirect
656. C₂×C₄²	C₂⁵	semidirect
708. C₂×D₄	C₂²×#41	semidirect
824. C₂³	#3514	direct (N × H)
847. D₄	C₂³×#41	semidirect
900. C₂²	C₂×#3514	direct (N × H)
923. C₂	C₂²×#3514	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#3514	2
C₂³×#559	2
C₂³×#555	2
C₂³×#556	2
C₂³×#551	2
C₂³×#548	2
C₂³×#546	2
C₂³×D₄×Q₈	2
C₂³×D₄²	2
C₂³×#542	2
C₂³×#538	2
C₂³×#532	2
C₂³×#529	2
C₂⁴×#124	2
C₂³×#518	2
C₂³×C₄×#41	2

Subgroups — C23×#3514 #72301662

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂³×#3514 #72301662