Subgroups — C₂³×#3546 #72301669

Order 1024.

517029 conjugacy classes of subgroups.

The subgroup lattice has 964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#3546	C₂	1	224	yes	maximal, direct product factor
2	C₂³×#560	C₂	1	4	yes	maximal, complemented
3	C₂³×#556	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂³×#553	C₂	1	2	yes	maximal, complemented
5	C₂³×#550	C₂	1	2	yes	maximal, complemented
6	C₂³×#550	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂³×#547	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂³×#546	C₂	1	2	yes	maximal, complemented
9	C₂³×#546	C₂	1	2	yes	maximal, complemented
10	C₂³×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂³×#542	C₂	1	2	yes	maximal, complemented
12	C₂³×#537	C₂	1	2	yes	maximal, complemented
13	C₂³×#535	C₂	1	2	yes	maximal, complemented
14	C₂³×#535	C₂	1	2	yes	maximal, complemented
15	C₂³×#538	C₂	1	4	yes	maximal, complemented
16	C₂³×#532	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂³×#532	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂³×#529	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂⁴×#41	C₂²	1	2	yes	complemented
20	C₂⁴×#41	C₂²	1	2	yes	complemented
21	C₂⁴×#41	C₂²	1	2	yes	complemented
22	C₂⁴×#41	C₂²	1	2	yes	complemented
23	C₂⁵×D₄	C₂²	1	2	yes	—
24	C₂⁵×D₄	C₂²	1	2	yes	—
25	C₂×#3546	C₂²	1	7168	yes	direct product factor
26	C₂²×#556	C₂²	1	112	yes	complemented
27	C₂²×#553	C₂²	1	224	yes	complemented
28	C₂²×#550	C₂²	1	224	yes	complemented
29	C₂²×#550	C₂²	1	112	yes	complemented
30	C₂²×#547	C₂²	1	112	yes	complemented
31	C₂²×#546	C₂²	1	224	yes	complemented
32	C₂²×#546	C₂²	1	224	yes	complemented
33	C₂²×D₄²	C₂²	1	112	yes	complemented
34	C₂²×#560	C₂²	1	448	yes	complemented
35	C₂²×#542	C₂²	1	224	yes	complemented
36	C₂²×#537	C₂²	1	224	yes	complemented
37	C₂²×#535	C₂²	1	224	yes	complemented
38	C₂²×#535	C₂²	1	224	yes	complemented
39	C₂²×#538	C₂²	1	448	yes	complemented
40	C₂²×#532	C₂²	1	112	yes	complemented
41	C₂²×#532	C₂²	1	112	yes	complemented
42	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₂³×#127	C₂²	1	1	yes	characteristic
45	C₂³×#127	C₂²	1	1	yes	characteristic
46	C₂³×#127	C₂²	1	2	yes	complemented
47	C₂³×#127	C₂²	1	4	yes	complemented
48	C₂²×#529	C₂²	1	112	yes	complemented
49	C₂³×#126	C₂²	1	2	yes	complemented
50	C₂³×#126	C₂²	1	4	yes	complemented
51	C₂³×#126	C₂²	1	4	yes	complemented
52	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
53	C₂³×#124	C₂²	1	1	yes	characteristic
54	C₂³×#124	C₂²	1	2	yes	—
55	C₂³×#124	C₂²	1	2	yes	complemented
56	C₂³×#124	C₂²	1	2	yes	complemented
57	C₂³×#124	C₂²	1	4	yes	complemented
58	C₂³×#123	C₂²	1	2	yes	complemented
59	C₂³×#123	C₂²	1	4	yes	complemented
60	C₂³×#123	C₂²	1	4	yes	complemented
61	C₂³×#123	C₂²	1	4	yes	complemented
62	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
63	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	complemented
64	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
65	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
66	C₂³×#121	C₂²	1	1	yes	characteristic
67	C₂³×#121	C₂²	1	1	yes	characteristic
68	C₂³×#121	C₂²	1	2	yes	—
69	C₂³×#121	C₂²	1	2	yes	—
70	C₂³×#121	C₂²	1	2	yes	—
71	C₂³×#121	C₂²	1	2	yes	complemented
72	C₂³×#121	C₂²	1	1	yes	characteristic, complemented
73	C₂³×#121	C₂²	1	2	yes	complemented
74	C₂³×#121	C₂²	1	2	yes	complemented
75	C₂³×#121	C₂²	1	4	yes	complemented
76	C₂³×#121	C₂²	1	4	yes	complemented
77	C₂³×#121	C₂²	1	4	yes	complemented
78	C₂³×#121	C₂²	1	2	yes	complemented
79	C₂³×#121	C₂²	1	4	yes	complemented
80	C₂³×#121	C₂²	1	4	yes	complemented
81	C₂³×#121	C₂²	1	4	yes	complemented
82	C₂³×#120	C₂²	1	4	yes	—
83	C₂³×#120	C₂²	1	4	yes	complemented
84	C₂³×#120	C₂²	1	4	yes	complemented
85	C₂³×#120	C₂²	1	4	yes	complemented
86	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
87	C₂³×C₄×Q₈	C₂²	1	2	yes	complemented
88	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
89	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
90	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
91	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
92	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
93	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
94	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
95	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
96	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
97	C₂³×#117	C₂²	1	2	yes	complemented
98	C₂³×#117	C₂²	1	2	yes	complemented
99	C₂⁴×C₄⋊C₄	C₂²	1	2	yes	complemented
100	C₂⁴×C₂²⋊C₄	C₂²	1	4	yes	complemented
101	C₂⁴×C₄²	C₂²	1	1	yes	characteristic, complemented
102	C₂⁷	C₂³	1	4	yes	—
103	C₂³×#41	—	4	32	no	—
104	C₂³×#41	—	4	32	no	—
105	C₂³×#41	—	4	32	no	—
106	C₂³×#41	—	4	32	no	—
107	C₂³×#41	C₂³	1	112	yes	complemented
108	C₂³×#41	C₂³	1	112	yes	complemented
109	C₂³×#41	C₂³	1	112	yes	complemented
110	C₂³×#41	C₂³	1	112	yes	complemented
111	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
112	C₂⁴×Q₈	C₂³	1	2	yes	—
113	C₂⁴×Q₈	C₂³	1	2	yes	—
114	C₂⁴×D₄	—	4	32	no	—
115	C₂⁴×D₄	—	4	32	no	—
116	C₂⁴×D₄	C₂³	1	1	yes	characteristic
117	C₂⁴×D₄	C₂³	1	1	yes	characteristic
118	C₂⁴×D₄	C₂³	1	2	yes	—
119	C₂⁴×D₄	C₂³	1	2	yes	—
120	C₂⁴×D₄	C₂³	1	1	yes	characteristic
121	C₂⁴×D₄	C₂³	1	4	yes	—
122	C₂⁴×D₄	C₂³	1	4	yes	—
123	C₂⁴×D₄	C₂³	1	112	yes	—
124	C₂⁴×D₄	C₂³	1	112	yes	—
125	C₂⁴×D₄	C₂³	1	2	yes	—
126	C₂⁴×D₄	C₂³	1	4	yes	—
127	C₂⁴×D₄	C₂³	1	2	yes	—
128	C₂⁴×D₄	C₂³	1	4	yes	—
129	C₂⁴×D₄	C₂³	1	4	yes	—
130	C₂⁴×D₄	C₂³	1	2	yes	—
131	C₂⁴×D₄	C₂³	1	2	yes	—
132	C₂⁴×D₄	C₂³	1	2	yes	—
133	C₂⁴×D₄	C₂³	1	2	yes	—
134	C₂⁴×D₄	C₂³	1	4	yes	—
135	C₂⁵×C₄	C₂³	1	2	yes	—
136	C₂⁵×C₄	C₂³	1	2	yes	—
137	C₂⁵×C₄	C₂³	1	1	yes	characteristic
138	C₂⁵×C₄	C₂³	1	1	yes	characteristic
139	C₂⁵×C₄	C₂³	1	2	yes	—
140	C₂⁵×C₄	C₂³	1	4	yes	—
141	C₂⁵×C₄	C₂³	1	4	yes	—
142	C₂⁵×C₄	C₂³	1	4	yes	—
143	C₂⁵×C₄	C₂³	1	1	yes	characteristic
144	#3546	C₂³	1	32768	yes	direct product factor
145	C₂×#560	C₂³	1	7168	yes	complemented
146	C₂×#556	C₂³	1	1792	yes	complemented
147	C₂×#553	C₂³	1	3584	yes	complemented
148	C₂×#550	C₂³	1	3584	yes	complemented
149	C₂×#550	C₂³	1	1792	yes	complemented
150	C₂×#547	C₂³	1	1792	yes	complemented
151	C₂×#546	C₂³	1	3584	yes	complemented
152	C₂×#546	C₂³	1	3584	yes	complemented
153	C₂×D₄²	C₂³	1	1792	yes	complemented
154	C₂×#542	C₂³	1	3584	yes	complemented
155	C₂×#538	C₂³	1	7168	yes	complemented
156	C₂×#537	C₂³	1	3584	yes	complemented
157	C₂×#535	C₂³	1	3584	yes	complemented
158	C₂×#535	C₂³	1	3584	yes	complemented
159	C₂×#532	C₂³	1	1792	yes	complemented
160	C₂×#532	C₂³	1	1792	yes	complemented
161	C₂²×C₄⋊Q₈	C₂³	1	56	yes	complemented
162	C₂²×C₄⋊Q₈	C₂³	1	56	yes	complemented
163	C₂²×#127	C₂³	1	56	yes	—
164	C₂²×#127	C₂³	1	56	yes	—
165	C₂²×#127	C₂³	1	224	yes	complemented
166	C₂²×#127	C₂³	1	112	yes	complemented
167	C₂×#529	C₂³	1	1792	yes	complemented
168	C₂²×#126	C₂³	1	112	yes	complemented
169	C₂²×#126	C₂³	1	224	yes	complemented
170	C₂²×#126	C₂³	1	224	yes	complemented
171	C₂²×#125	C₂³	1	56	yes	complemented
172	C₂²×#124	C₂³	1	56	yes	—
173	C₂²×#124	C₂³	1	112	yes	—
174	C₂²×#124	C₂³	1	112	yes	complemented
175	C₂²×#124	C₂³	1	112	yes	complemented
176	C₂²×#124	C₂³	1	224	yes	complemented
177	C₂²×#123	C₂³	1	112	yes	complemented
178	C₂²×#123	C₂³	1	224	yes	complemented
179	C₂²×#123	C₂³	1	224	yes	complemented
180	C₂²×#123	C₂³	1	224	yes	complemented
181	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
182	C₂²×C₂²⋊Q₈	C₂³	1	224	yes	complemented
183	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
184	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
185	C₂²×#121	C₂³	1	56	yes	—
186	C₂²×#121	C₂³	1	56	yes	—
187	C₂²×#121	C₂³	1	112	yes	—
188	C₂²×#121	C₂³	1	112	yes	—
189	C₂²×#121	C₂³	1	112	yes	—
190	C₂²×#121	C₂³	1	112	yes	complemented
191	C₂²×#121	C₂³	1	112	yes	complemented
192	C₂²×#121	C₂³	1	112	yes	complemented
193	C₂²×#121	C₂³	1	56	yes	complemented
194	C₂²×#121	C₂³	1	224	yes	complemented
195	C₂²×#121	C₂³	1	224	yes	complemented
196	C₂²×#121	C₂³	1	224	yes	complemented
197	C₂²×#121	C₂³	1	224	yes	complemented
198	C₂²×#121	C₂³	1	112	yes	complemented
199	C₂²×#121	C₂³	1	224	yes	complemented
200	C₂²×#121	C₂³	1	224	yes	complemented
201	C₂²×#120	C₂³	1	224	yes	—
202	C₂²×#120	C₂³	1	224	yes	complemented
203	C₂²×#120	C₂³	1	224	yes	complemented
204	C₂²×#120	C₂³	1	224	yes	complemented
205	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
206	C₂²×C₄×Q₈	C₂³	1	112	yes	complemented
207	C₂²×C₄×D₄	C₂³	1	56	yes	—
208	C₂²×C₄×D₄	C₂³	1	56	yes	—
209	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
210	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
211	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
212	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
213	C₂²×C₄×D₄	C₂³	1	56	yes	complemented
214	C₂²×C₄×D₄	C₂³	1	224	yes	complemented
215	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
216	C₂²×#117	C₂³	1	112	yes	complemented
217	C₂²×#117	C₂³	1	112	yes	complemented
218	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
220	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
221	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
223	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
224	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
227	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
228	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
229	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
230	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
231	C₂³×C₄⋊C₄	C₂³	1	112	yes	complemented
232	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
235	C₂³×C₂²⋊C₄	C₂³	1	4	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	2	yes	—
240	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
243	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
244	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
245	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
246	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
247	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
248	C₂³×C₂²⋊C₄	C₂³	1	224	yes	complemented
249	C₂³×C₄²	C₂³	1	1	yes	characteristic
250	C₂³×C₄²	C₂³	1	1	yes	characteristic
251	C₂³×C₄²	C₂³	1	1	yes	characteristic
252	C₂³×C₄²	C₂³	1	1	yes	characteristic
253	C₂³×C₄²	C₂³	1	2	yes	—
254	C₂³×C₄²	C₂³	1	4	yes	—
255	C₂³×C₄²	C₂³	1	56	yes	complemented
256	C₂⁶	—	4	32	no	—
257	C₂⁶	—	4	32	no	—
258	C₂⁶	—	4	32	no	—
259	C₂⁶	C₂⁴	1	1	yes	characteristic
260	C₂⁶	C₂⁴	1	2	yes	—
261	C₂⁶	C₂⁴	1	4	yes	—
262	C₂⁶	C₂⁴	1	2	yes	—
263	C₂⁶	C₂⁴	1	2	yes	—
264	C₂⁶	C₂⁴	1	112	yes	—
265	C₂²×#41	—	4	896	no	—
266	C₂²×#41	—	4	896	no	—
267	C₂²×#41	—	4	896	no	—
268	C₂²×#41	—	4	896	no	—
269	C₂²×#41	C₂⁴	1	896	yes	complemented
270	C₂²×#41	C₂⁴	1	896	yes	complemented
271	C₂²×#41	C₂⁴	1	896	yes	complemented
272	C₂²×#41	C₂⁴	1	896	yes	complemented
273	C₂³×Q₈	—	2	16	no	—
274	C₂³×Q₈	—	2	32	no	—
275	C₂³×Q₈	—	4	16	no	—
276	C₂³×Q₈	C₂⁴	1	28	yes	—
277	C₂³×Q₈	C₂⁴	1	56	yes	—
278	C₂³×Q₈	C₂⁴	1	56	yes	—
279	C₂³×D₄	—	2	16	no	—
280	C₂³×D₄	—	2	16	no	—
281	C₂³×D₄	—	2	32	no	—
282	C₂³×D₄	—	2	32	no	—
283	C₂³×D₄	—	2	16	no	—
284	C₂³×D₄	—	4	896	no	—
285	C₂³×D₄	—	4	896	no	—
286	C₂³×D₄	—	4	32	no	—
287	C₂³×D₄	—	4	32	no	—
288	C₂³×D₄	—	4	16	no	—
289	C₂³×D₄	—	4	16	no	—
290	C₂³×D₄	—	4	16	no	—
291	C₂³×D₄	—	4	32	no	—
292	C₂³×D₄	—	4	16	no	—
293	C₂³×D₄	—	4	16	no	—
294	C₂³×D₄	—	4	16	no	—
295	C₂³×D₄	—	4	32	no	—
296	C₂³×D₄	—	4	32	no	—
297	C₂³×D₄	—	4	32	no	—
298	C₂³×D₄	C₂⁴	1	28	yes	—
299	C₂³×D₄	C₂⁴	1	28	yes	—
300	C₂³×D₄	C₂⁴	1	56	yes	—
301	C₂³×D₄	C₂⁴	1	56	yes	—
302	C₂³×D₄	C₂⁴	1	28	yes	—
303	C₂³×D₄	C₂⁴	1	112	yes	—
304	C₂³×D₄	C₂⁴	1	112	yes	—
305	C₂³×D₄	C₂⁴	1	896	yes	—
306	C₂³×D₄	C₂⁴	1	896	yes	—
307	C₂³×D₄	C₂⁴	1	56	yes	—
308	C₂³×D₄	C₂⁴	1	112	yes	—
309	C₂³×D₄	C₂⁴	1	56	yes	—
310	C₂³×D₄	C₂⁴	1	112	yes	—
311	C₂³×D₄	C₂⁴	1	112	yes	—
312	C₂³×D₄	C₂⁴	1	56	yes	—
313	C₂³×D₄	C₂⁴	1	56	yes	—
314	C₂³×D₄	C₂⁴	1	56	yes	—
315	C₂³×D₄	C₂⁴	1	56	yes	—
316	C₂³×D₄	C₂⁴	1	112	yes	—
317	C₂⁴×C₄	—	2	32	no	—
318	C₂⁴×C₄	—	2	32	no	—
319	C₂⁴×C₄	—	2	16	no	—
320	C₂⁴×C₄	—	2	32	no	—
321	C₂⁴×C₄	—	2	16	no	—
322	C₂⁴×C₄	—	4	8	no	—
323	C₂⁴×C₄	—	4	32	no	—
324	C₂⁴×C₄	—	4	32	no	—
325	C₂⁴×C₄	—	4	32	no	—
326	C₂⁴×C₄	C₂⁴	1	56	yes	—
327	C₂⁴×C₄	C₂⁴	1	56	yes	—
328	C₂⁴×C₄	C₂⁴	1	28	yes	—
329	C₂⁴×C₄	C₂⁴	1	28	yes	—
330	C₂⁴×C₄	C₂⁴	1	56	yes	—
331	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
332	C₂⁴×C₄	C₂⁴	1	2	yes	—
333	C₂⁴×C₄	C₂⁴	1	2	yes	—
334	C₂⁴×C₄	C₂⁴	1	4	yes	—
335	C₂⁴×C₄	C₂⁴	1	2	yes	—
336	C₂⁴×C₄	C₂⁴	1	2	yes	—
337	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
338	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
339	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
340	C₂⁴×C₄	C₂⁴	1	2	yes	—
341	C₂⁴×C₄	C₂⁴	1	112	yes	—
342	C₂⁴×C₄	C₂⁴	1	112	yes	—
343	C₂⁴×C₄	C₂⁴	1	112	yes	—
344	C₂⁴×C₄	C₂⁴	1	28	yes	—
345	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
346	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
347	#560	C₂⁴	1	16384	yes	complemented
348	#556	C₂⁴	1	4096	yes	complemented
349	#553	C₂⁴	1	8192	yes	complemented
350	#550	C₂⁴	1	8192	yes	complemented
351	#550	C₂⁴	1	4096	yes	complemented
352	#547	C₂⁴	1	4096	yes	complemented
353	#546	C₂⁴	1	8192	yes	complemented
354	#546	C₂⁴	1	8192	yes	complemented
355	D₄²	C₂⁴	1	4096	yes	complemented
356	#542	C₂⁴	1	8192	yes	complemented
357	#538	C₂⁴	1	16384	yes	complemented
358	#537	C₂⁴	1	8192	yes	complemented
359	#535	C₂⁴	1	8192	yes	complemented
360	#535	C₂⁴	1	8192	yes	complemented
361	#532	C₂⁴	1	4096	yes	complemented
362	#532	C₂⁴	1	4096	yes	complemented
363	C₂×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
364	C₂×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
365	C₂×#127	C₂⁴	1	448	yes	—
366	C₂×#127	C₂⁴	1	448	yes	—
367	C₂×#127	C₂⁴	1	896	yes	complemented
368	C₂×#127	C₂⁴	1	1792	yes	complemented
369	#529	C₂⁴	1	4096	yes	complemented
370	C₂×#126	C₂⁴	1	896	yes	complemented
371	C₂×#126	C₂⁴	1	1792	yes	complemented
372	C₂×#126	C₂⁴	1	1792	yes	complemented
373	C₂×#125	C₂⁴	1	448	yes	complemented
374	C₂×#124	C₂⁴	1	448	yes	—
375	C₂×#124	C₂⁴	1	896	yes	—
376	C₂×#124	C₂⁴	1	896	yes	complemented
377	C₂×#124	C₂⁴	1	896	yes	complemented
378	C₂×#124	C₂⁴	1	1792	yes	complemented
379	C₂×#123	C₂⁴	1	896	yes	complemented
380	C₂×#123	C₂⁴	1	1792	yes	complemented
381	C₂×#123	C₂⁴	1	1792	yes	complemented
382	C₂×#123	C₂⁴	1	1792	yes	complemented
383	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
384	C₂×C₂²⋊Q₈	C₂⁴	1	1792	yes	complemented
385	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
386	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
387	C₂×#121	C₂⁴	1	448	yes	—
388	C₂×#121	C₂⁴	1	448	yes	—
389	C₂×#121	C₂⁴	1	896	yes	—
390	C₂×#121	C₂⁴	1	896	yes	—
391	C₂×#121	C₂⁴	1	896	yes	—
392	C₂×#121	C₂⁴	1	896	yes	complemented
393	C₂×#121	C₂⁴	1	448	yes	complemented
394	C₂×#121	C₂⁴	1	896	yes	complemented
395	C₂×#121	C₂⁴	1	896	yes	complemented
396	C₂×#121	C₂⁴	1	1792	yes	complemented
397	C₂×#121	C₂⁴	1	896	yes	complemented
398	C₂×#121	C₂⁴	1	1792	yes	complemented
399	C₂×#121	C₂⁴	1	1792	yes	complemented
400	C₂×#121	C₂⁴	1	1792	yes	complemented
401	C₂×#121	C₂⁴	1	1792	yes	complemented
402	C₂×#121	C₂⁴	1	1792	yes	complemented
403	C₂×#120	C₂⁴	1	1792	yes	—
404	C₂×#120	C₂⁴	1	1792	yes	complemented
405	C₂×#120	C₂⁴	1	1792	yes	complemented
406	C₂×#120	C₂⁴	1	1792	yes	complemented
407	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
408	C₂×C₄×Q₈	C₂⁴	1	896	yes	complemented
409	C₂×C₄×D₄	C₂⁴	1	448	yes	—
410	C₂×C₄×D₄	C₂⁴	1	448	yes	—
411	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
412	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
413	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
414	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
415	C₂×C₄×D₄	C₂⁴	1	448	yes	complemented
416	C₂×C₄×D₄	C₂⁴	1	1792	yes	complemented
417	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
418	C₂×#117	C₂⁴	1	896	yes	complemented
419	C₂×#117	C₂⁴	1	896	yes	complemented
420	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
421	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
422	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
423	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
424	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
425	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
426	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
427	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
428	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
429	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
430	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
431	C₂²×C₄⋊C₄	C₂⁴	1	112	yes	—
432	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
433	C₂²×C₄⋊C₄	C₂⁴	1	896	yes	complemented
434	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
435	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
436	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
437	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
438	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
439	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
440	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
441	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
442	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
443	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
444	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
445	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
446	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
447	C₂²×C₂²⋊C₄	C₂⁴	1	112	yes	—
448	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
449	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
450	C₂²×C₂²⋊C₄	C₂⁴	1	1792	yes	complemented
451	C₂²×C₄²	C₂⁴	1	28	yes	—
452	C₂²×C₄²	C₂⁴	1	28	yes	—
453	C₂²×C₄²	C₂⁴	1	28	yes	—
454	C₂²×C₄²	C₂⁴	1	28	yes	—
455	C₂²×C₄²	C₂⁴	1	56	yes	—
456	C₂²×C₄²	C₂⁴	1	112	yes	—
457	C₂²×C₄²	C₂⁴	1	448	yes	complemented
458	C₂⁵	—	2	8	no	—
459	C₂⁵	—	2	8	no	—
460	C₂⁵	—	2	16	no	—
461	C₂⁵	—	2	16	no	—
462	C₂⁵	—	2	16	no	—
463	C₂⁵	—	2	16	no	—
464	C₂⁵	—	2	32	no	—
465	C₂⁵	—	2	32	no	—
466	C₂⁵	—	2	16	no	—
467	C₂⁵	—	2	16	no	—
468	C₂⁵	—	2	8	no	—
469	C₂⁵	—	2	16	no	—
470	C₂⁵	—	2	32	no	—
471	C₂⁵	—	2	16	no	—
472	C₂⁵	—	2	16	no	—
473	C₂⁵	—	4	448	no	—
474	C₂⁵	—	4	448	no	—
475	C₂⁵	—	4	448	no	—
476	C₂⁵	—	8	512	no	—
477	C₂⁵	C₂⁵	1	28	yes	—
478	C₂⁵	C₂⁵	1	28	yes	—
479	C₂⁵	C₂⁵	1	56	yes	—
480	C₂⁵	C₂⁵	1	14	yes	—
481	C₂⁵	C₂⁵	1	28	yes	—
482	C₂⁵	C₂⁵	1	448	yes	—
483	C₂⁵	C₂⁵	1	1	yes	characteristic
484	C₂×#41	—	4	3584	no	—
485	C₂×#41	—	4	3584	no	—
486	C₂×#41	—	4	3584	no	—
487	C₂×#41	—	4	3584	no	—
488	C₂×#41	C₂⁵	1	1024	yes	complemented
489	C₂×#41	C₂⁵	1	1024	yes	complemented
490	C₂×#41	C₂⁵	1	1024	yes	complemented
491	C₂×#41	C₂⁵	1	1024	yes	complemented
492	C₂²×Q₈	—	2	224	no	—
493	C₂²×Q₈	—	2	448	no	—
494	C₂²×Q₈	—	4	224	no	—
495	C₂²×Q₈	C₂⁵	1	112	yes	—
496	C₂²×Q₈	C₂⁵	1	224	yes	—
497	C₂²×Q₈	C₂⁵	1	224	yes	—
498	C₂²×D₄	—	2	224	no	—
499	C₂²×D₄	—	2	224	no	—
500	C₂²×D₄	—	2	448	no	—
501	C₂²×D₄	—	2	448	no	—
502	C₂²×D₄	—	2	224	no	—
503	C₂²×D₄	—	4	3584	no	—
504	C₂²×D₄	—	4	3584	no	—
505	C₂²×D₄	—	4	448	no	—
506	C₂²×D₄	—	4	448	no	—
507	C₂²×D₄	—	4	224	no	—
508	C₂²×D₄	—	4	224	no	—
509	C₂²×D₄	—	4	224	no	—
510	C₂²×D₄	—	4	448	no	—
511	C₂²×D₄	—	4	224	no	—
512	C₂²×D₄	—	4	224	no	—
513	C₂²×D₄	—	4	224	no	—
514	C₂²×D₄	—	4	448	no	—
515	C₂²×D₄	—	4	448	no	—
516	C₂²×D₄	—	4	448	no	—
517	C₂²×D₄	C₂⁵	1	112	yes	—
518	C₂²×D₄	C₂⁵	1	112	yes	—
519	C₂²×D₄	C₂⁵	1	224	yes	—
520	C₂²×D₄	C₂⁵	1	224	yes	—
521	C₂²×D₄	C₂⁵	1	112	yes	—
522	C₂²×D₄	C₂⁵	1	224	yes	—
523	C₂²×D₄	C₂⁵	1	224	yes	—
524	C₂²×D₄	C₂⁵	1	224	yes	—
525	C₂²×D₄	C₂⁵	1	448	yes	—
526	C₂²×D₄	C₂⁵	1	448	yes	—
527	C₂²×D₄	C₂⁵	1	448	yes	—
528	C₂²×D₄	C₂⁵	1	224	yes	—
529	C₂²×D₄	C₂⁵	1	448	yes	—
530	C₂²×D₄	C₂⁵	1	224	yes	—
531	C₂²×D₄	C₂⁵	1	448	yes	—
532	C₂²×D₄	C₂⁵	1	448	yes	—
533	C₂²×D₄	C₂⁵	1	224	yes	—
534	C₂²×D₄	C₂⁵	1	1024	yes	—
535	C₂²×D₄	C₂⁵	1	1024	yes	—
536	C₂³×C₄	—	2	8	no	—
537	C₂³×C₄	—	2	16	no	—
538	C₂³×C₄	—	2	16	no	—
539	C₂³×C₄	—	2	16	no	—
540	C₂³×C₄	—	2	8	no	—
541	C₂³×C₄	—	2	32	no	—
542	C₂³×C₄	—	2	16	no	—
543	C₂³×C₄	—	2	8	no	—
544	C₂³×C₄	—	2	8	no	—
545	C₂³×C₄	—	2	16	no	—
546	C₂³×C₄	—	2	448	no	—
547	C₂³×C₄	—	2	448	no	—
548	C₂³×C₄	—	2	224	no	—
549	C₂³×C₄	—	2	448	no	—
550	C₂³×C₄	—	2	224	no	—
551	C₂³×C₄	—	4	112	no	—
552	C₂³×C₄	—	4	448	no	—
553	C₂³×C₄	—	4	448	no	—
554	C₂³×C₄	—	4	448	no	—
555	C₂³×C₄	H(5,𝔽₂)	1	16	yes	—
556	C₂³×C₄	H(5,𝔽₂)	1	16	yes	—
557	C₂³×C₄	C₂⁵	1	28	yes	—
558	C₂³×C₄	C₂⁵	1	14	yes	—
559	C₂³×C₄	C₂⁵	1	14	yes	—
560	C₂³×C₄	C₂⁵	1	14	yes	—
561	C₂³×C₄	C₂⁵	1	14	yes	—
562	C₂³×C₄	C₂⁵	1	28	yes	—
563	C₂³×C₄	C₂⁵	1	56	yes	—
564	C₂³×C₄	C₂⁵	1	28	yes	—
565	C₂³×C₄	C₂⁵	1	28	yes	—
566	C₂³×C₄	C₂⁵	1	28	yes	—
567	C₂³×C₄	C₂⁵	1	224	yes	—
568	C₂³×C₄	C₂⁵	1	224	yes	—
569	C₂³×C₄	C₂⁵	1	224	yes	—
570	C₂³×C₄	C₂⁵	1	112	yes	—
571	C₂³×C₄	C₂⁵	1	112	yes	—
572	C₂³×C₄	C₂⁵	1	448	yes	—
573	C₂³×C₄	C₂⁵	1	448	yes	—
574	C₂³×C₄	C₂⁵	1	448	yes	—
575	C₂³×C₄	C₂⁵	1	112	yes	—
576	C₂³×C₄	C₂⁵	1	14	yes	—
577	C₂³×C₄	C₂⁵	1	14	yes	—
578	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
579	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
580	#127	C₂⁵	1	512	yes	—
581	#127	C₂⁵	1	512	yes	—
582	#127	C₂⁵	1	1024	yes	complemented
583	#127	C₂⁵	1	2048	yes	complemented
584	#126	C₂⁵	1	1024	yes	complemented
585	#126	C₂⁵	1	2048	yes	complemented
586	#126	C₂⁵	1	2048	yes	complemented
587	#125	C₂⁵	1	512	yes	complemented
588	#124	C₂⁵	1	512	yes	—
589	#124	C₂⁵	1	1024	yes	—
590	#124	C₂⁵	1	1024	yes	complemented
591	#124	C₂⁵	1	1024	yes	complemented
592	#124	C₂⁵	1	2048	yes	complemented
593	#123	C₂⁵	1	1024	yes	complemented
594	#123	C₂⁵	1	2048	yes	complemented
595	#123	C₂⁵	1	2048	yes	complemented
596	#123	C₂⁵	1	2048	yes	complemented
597	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
598	C₂²⋊Q₈	C₂⁵	1	2048	yes	complemented
599	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
600	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
601	#121	C₂⁵	1	512	yes	—
602	#121	C₂⁵	1	512	yes	—
603	#121	C₂⁵	1	1024	yes	—
604	#121	C₂⁵	1	1024	yes	—
605	#121	C₂⁵	1	1024	yes	—
606	#121	C₂⁵	1	1024	yes	complemented
607	#121	C₂⁵	1	512	yes	complemented
608	#121	C₂⁵	1	1024	yes	complemented
609	#121	C₂⁵	1	1024	yes	complemented
610	#121	C₂⁵	1	2048	yes	complemented
611	#121	C₂⁵	1	1024	yes	complemented
612	#121	C₂⁵	1	2048	yes	complemented
613	#121	C₂⁵	1	2048	yes	complemented
614	#121	C₂⁵	1	2048	yes	complemented
615	#121	C₂⁵	1	2048	yes	complemented
616	#121	C₂⁵	1	2048	yes	complemented
617	#120	C₂⁵	1	2048	yes	—
618	#120	C₂⁵	1	2048	yes	complemented
619	#120	C₂⁵	1	2048	yes	complemented
620	#120	C₂⁵	1	2048	yes	complemented
621	C₄×Q₈	C₂⁵	1	512	yes	complemented
622	C₄×Q₈	C₂⁵	1	1024	yes	complemented
623	C₄×D₄	C₂⁵	1	512	yes	—
624	C₄×D₄	C₂⁵	1	512	yes	—
625	C₄×D₄	C₂⁵	1	1024	yes	complemented
626	C₄×D₄	C₂⁵	1	1024	yes	complemented
627	C₄×D₄	C₂⁵	1	1024	yes	complemented
628	C₄×D₄	C₂⁵	1	1024	yes	complemented
629	C₄×D₄	C₂⁵	1	512	yes	complemented
630	C₄×D₄	C₂⁵	1	2048	yes	complemented
631	C₄×D₄	C₂⁵	1	1024	yes	complemented
632	#117	C₂⁵	1	1024	yes	complemented
633	#117	C₂⁵	1	1024	yes	complemented
634	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
635	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
636	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
637	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
638	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
639	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
640	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
641	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
642	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
643	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
644	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
645	C₂×C₄⋊C₄	C₂⁵	1	448	yes	—
646	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
647	C₂×C₄⋊C₄	C₂⁵	1	1024	yes	complemented
648	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
649	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
650	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
651	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
652	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
653	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
654	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
655	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
656	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
657	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
658	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
659	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
660	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
661	C₂×C₂²⋊C₄	C₂⁵	1	448	yes	—
662	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
663	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
664	C₂×C₂²⋊C₄	C₂⁵	1	2048	yes	complemented
665	C₂×C₄²	C₂⁵	1	112	yes	—
666	C₂×C₄²	C₂⁵	1	224	yes	—
667	C₂×C₄²	C₂⁵	1	448	yes	—
668	C₂×C₄²	C₂⁵	1	112	yes	—
669	C₂×C₄²	C₂⁵	1	112	yes	—
670	C₂×C₄²	C₂⁵	1	112	yes	—
671	C₂×C₄²	C₂⁵	1	512	yes	complemented
672	C₂⁴	—	2	56	no	—
673	C₂⁴	—	2	56	no	—
674	C₂⁴	—	2	112	no	—
675	C₂⁴	—	2	112	no	—
676	C₂⁴	—	2	112	no	—
677	C₂⁴	—	2	112	no	—
678	C₂⁴	—	2	224	no	—
679	C₂⁴	—	2	224	no	—
680	C₂⁴	—	2	112	no	—
681	C₂⁴	—	2	112	no	—
682	C₂⁴	—	2	56	no	—
683	C₂⁴	—	2	112	no	—
684	C₂⁴	—	2	224	no	—
685	C₂⁴	—	2	112	no	—
686	C₂⁴	—	2	112	no	—
687	C₂⁴	—	4	896	no	—
688	C₂⁴	—	4	896	no	—
689	C₂⁴	—	4	896	no	—
690	C₂⁴	—	4	64	no	—
691	C₂⁴	—	4	128	no	—
692	C₂⁴	—	4	256	no	—
693	C₂⁴	—	4	128	no	—
694	C₂⁴	—	4	128	no	—
695	C₂⁴	—	8	3584	no	—
696	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
697	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
698	C₂⁴	#585	1	8	yes	—
699	C₂⁴	C₂⁶	1	56	yes	—
700	C₂⁴	C₂⁶	1	56	yes	—
701	C₂⁴	C₂⁶	1	112	yes	—
702	C₂⁴	C₂⁶	1	28	yes	—
703	C₂⁴	C₂⁶	1	56	yes	—
704	C₂⁴	C₂⁶	1	256	yes	—
705	C₂⁴	C₂⁶	1	7	yes	—
706	#41	—	4	2048	no	—
707	#41	—	4	2048	no	—
708	#41	—	4	2048	no	—
709	#41	—	4	2048	no	—
710	C₂×Q₈	—	2	448	no	—
711	C₂×Q₈	—	2	896	no	—
712	C₂×Q₈	—	4	448	no	—
713	C₂×Q₈	C₂⁶	1	64	yes	—
714	C₂×Q₈	C₂⁶	1	128	yes	—
715	C₂×Q₈	C₂⁶	1	128	yes	—
716	C₂×D₄	—	2	448	no	—
717	C₂×D₄	—	2	448	no	—
718	C₂×D₄	—	2	896	no	—
719	C₂×D₄	—	2	896	no	—
720	C₂×D₄	—	2	448	no	—
721	C₂×D₄	—	4	2048	no	—
722	C₂×D₄	—	4	2048	no	—
723	C₂×D₄	—	4	896	no	—
724	C₂×D₄	—	4	896	no	—
725	C₂×D₄	—	4	448	no	—
726	C₂×D₄	—	4	448	no	—
727	C₂×D₄	—	4	448	no	—
728	C₂×D₄	—	4	896	no	—
729	C₂×D₄	—	4	448	no	—
730	C₂×D₄	—	4	448	no	—
731	C₂×D₄	—	4	448	no	—
732	C₂×D₄	—	4	896	no	—
733	C₂×D₄	—	4	896	no	—
734	C₂×D₄	—	4	896	no	—
735	C₂×D₄	C₂⁶	1	64	yes	—
736	C₂×D₄	C₂⁶	1	64	yes	—
737	C₂×D₄	C₂⁶	1	128	yes	—
738	C₂×D₄	C₂⁶	1	128	yes	—
739	C₂×D₄	C₂⁶	1	64	yes	—
740	C₂×D₄	C₂⁶	1	128	yes	—
741	C₂×D₄	C₂⁶	1	128	yes	—
742	C₂×D₄	C₂⁶	1	128	yes	—
743	C₂×D₄	C₂⁶	1	256	yes	—
744	C₂×D₄	C₂⁶	1	256	yes	—
745	C₂×D₄	C₂⁶	1	256	yes	—
746	C₂×D₄	C₂⁶	1	128	yes	—
747	C₂×D₄	C₂⁶	1	256	yes	—
748	C₂×D₄	C₂⁶	1	128	yes	—
749	C₂×D₄	C₂⁶	1	256	yes	—
750	C₂×D₄	C₂⁶	1	256	yes	—
751	C₂×D₄	C₂⁶	1	128	yes	—
752	C₂²×C₄	—	2	56	no	—
753	C₂²×C₄	—	2	112	no	—
754	C₂²×C₄	—	2	112	no	—
755	C₂²×C₄	—	2	112	no	—
756	C₂²×C₄	—	2	56	no	—
757	C₂²×C₄	—	2	224	no	—
758	C₂²×C₄	—	2	112	no	—
759	C₂²×C₄	—	2	56	no	—
760	C₂²×C₄	—	2	56	no	—
761	C₂²×C₄	—	2	112	no	—
762	C₂²×C₄	—	2	896	no	—
763	C₂²×C₄	—	2	896	no	—
764	C₂²×C₄	—	2	448	no	—
765	C₂²×C₄	—	2	896	no	—
766	C₂²×C₄	—	2	448	no	—
767	C₂²×C₄	—	4	224	no	—
768	C₂²×C₄	—	4	896	no	—
769	C₂²×C₄	—	4	896	no	—
770	C₂²×C₄	—	4	896	no	—
771	C₂²×C₄	C₂×H(5,𝔽₂)	1	112	yes	—
772	C₂²×C₄	C₂×H(5,𝔽₂)	1	112	yes	—
773	C₂²×C₄	C₂⁶	1	56	yes	—
774	C₂²×C₄	C₂⁶	1	28	yes	—
775	C₂²×C₄	C₂⁶	1	28	yes	—
776	C₂²×C₄	C₂⁶	1	28	yes	—
777	C₂²×C₄	C₂⁶	1	28	yes	—
778	C₂²×C₄	C₂⁶	1	56	yes	—
779	C₂²×C₄	C₂⁶	1	56	yes	—
780	C₂²×C₄	C₂⁶	1	112	yes	—
781	C₂²×C₄	C₂⁶	1	64	yes	—
782	C₂²×C₄	C₂⁶	1	64	yes	—
783	C₂²×C₄	C₂⁶	1	56	yes	—
784	C₂²×C₄	C₂⁶	1	56	yes	—
785	C₂²×C₄	C₂⁶	1	128	yes	—
786	C₂²×C₄	C₂⁶	1	128	yes	—
787	C₂²×C₄	C₂⁶	1	128	yes	—
788	C₂²×C₄	C₂⁶	1	64	yes	—
789	C₂²×C₄	C₂⁶	1	256	yes	—
790	C₂²×C₄	C₂⁶	1	256	yes	—
791	C₂²×C₄	C₂⁶	1	256	yes	—
792	C₂²×C₄	C₂⁶	1	28	yes	—
793	C₂²×C₄	C₂⁶	1	28	yes	—
794	C₄⋊C₄	C₂⁶	1	64	yes	—
795	C₄⋊C₄	C₂⁶	1	128	yes	—
796	C₄⋊C₄	C₂⁶	1	256	yes	—
797	C₄⋊C₄	C₂⁶	1	64	yes	—
798	C₄⋊C₄	C₂⁶	1	128	yes	—
799	C₄⋊C₄	C₂⁶	1	128	yes	—
800	C₄⋊C₄	C₂⁶	1	64	yes	—
801	C₄⋊C₄	C₂⁶	1	64	yes	—
802	C₄⋊C₄	C₂⁶	1	128	yes	—
803	C₄⋊C₄	C₂⁶	1	128	yes	—
804	C₄⋊C₄	C₂⁶	1	128	yes	—
805	C₄⋊C₄	C₂⁶	1	256	yes	—
806	C₄⋊C₄	C₂⁶	1	128	yes	—
807	C₂²⋊C₄	C₂⁶	1	128	yes	—
808	C₂²⋊C₄	C₂⁶	1	128	yes	—
809	C₂²⋊C₄	C₂⁶	1	256	yes	—
810	C₂²⋊C₄	C₂⁶	1	256	yes	—
811	C₂²⋊C₄	C₂⁶	1	128	yes	—
812	C₂²⋊C₄	C₂⁶	1	256	yes	—
813	C₂²⋊C₄	C₂⁶	1	128	yes	—
814	C₂²⋊C₄	C₂⁶	1	128	yes	—
815	C₂²⋊C₄	C₂⁶	1	128	yes	—
816	C₂²⋊C₄	C₂⁶	1	128	yes	—
817	C₂²⋊C₄	C₂⁶	1	256	yes	—
818	C₂²⋊C₄	C₂⁶	1	256	yes	—
819	C₂²⋊C₄	C₂⁶	1	256	yes	—
820	C₂²⋊C₄	C₂⁶	1	256	yes	—
821	C₂²⋊C₄	C₂⁶	1	128	yes	—
822	C₂²⋊C₄	C₂⁶	1	128	yes	—
823	C₄²	C₂⁶	1	64	yes	—
824	C₄²	C₂⁶	1	64	yes	—
825	C₄²	C₂⁶	1	64	yes	—
826	C₄²	C₂⁶	1	64	yes	—
827	C₄²	C₂⁶	1	128	yes	—
828	C₄²	C₂⁶	1	256	yes	—
829	C₂³	—	2	56	no	—
830	C₂³	—	2	56	no	—
831	C₂³	—	2	112	no	—
832	C₂³	—	2	112	no	—
833	C₂³	—	2	112	no	—
834	C₂³	—	2	112	no	—
835	C₂³	—	2	224	no	—
836	C₂³	—	2	224	no	—
837	C₂³	—	2	112	no	—
838	C₂³	—	2	112	no	—
839	C₂³	—	2	56	no	—
840	C₂³	—	2	112	no	—
841	C₂³	—	2	224	no	—
842	C₂³	—	2	112	no	—
843	C₂³	—	2	112	no	—
844	C₂³	—	4	256	no	—
845	C₂³	—	4	256	no	—
846	C₂³	—	4	256	no	—
847	C₂³	—	4	224	no	—
848	C₂³	—	4	448	no	—
849	C₂³	—	4	896	no	—
850	C₂³	—	4	448	no	—
851	C₂³	—	4	448	no	—
852	C₂³	—	8	3584	no	—
853	C₂³	#3546	1	64	yes	direct product factor
854	C₂³	C₂²×H(5,𝔽₂)	1	28	yes	—
855	C₂³	C₂²×H(5,𝔽₂)	1	28	yes	—
856	C₂³	C₂×#585	1	28	yes	—
857	C₂³	C₂⁷	1	16	yes	—
858	C₂³	C₂⁷	1	16	yes	—
859	C₂³	C₂⁷	1	32	yes	—
860	C₂³	C₂⁷	1	8	yes	—
861	C₂³	C₂⁷	1	16	yes	—
862	C₂³	C₂⁷	1	7	yes	—
863	Q₈	—	2	128	no	—
864	Q₈	—	2	256	no	—
865	Q₈	—	4	128	no	—
866	D₄	—	2	128	no	—
867	D₄	—	2	128	no	—
868	D₄	—	2	256	no	—
869	D₄	—	2	256	no	—
870	D₄	—	2	128	no	—
871	D₄	—	4	256	no	—
872	D₄	—	4	256	no	—
873	D₄	—	4	128	no	—
874	D₄	—	4	128	no	—
875	D₄	—	4	128	no	—
876	D₄	—	4	256	no	—
877	D₄	—	4	128	no	—
878	D₄	—	4	128	no	—
879	D₄	—	4	128	no	—
880	D₄	—	4	256	no	—
881	D₄	—	4	256	no	—
882	D₄	—	4	256	no	—
883	C₂×C₄	—	2	56	no	—
884	C₂×C₄	—	2	112	no	—
885	C₂×C₄	—	2	112	no	—
886	C₂×C₄	—	2	112	no	—
887	C₂×C₄	—	2	56	no	—
888	C₂×C₄	—	2	224	no	—
889	C₂×C₄	—	2	112	no	—
890	C₂×C₄	—	2	56	no	—
891	C₂×C₄	—	2	56	no	—
892	C₂×C₄	—	2	112	no	—
893	C₂×C₄	—	2	256	no	—
894	C₂×C₄	—	2	256	no	—
895	C₂×C₄	—	2	128	no	—
896	C₂×C₄	—	2	256	no	—
897	C₂×C₄	—	2	128	no	—
898	C₂×C₄	—	4	64	no	—
899	C₂×C₄	—	4	256	no	—
900	C₂×C₄	—	4	256	no	—
901	C₂×C₄	—	4	256	no	—
902	C₂×C₄	C₂²×H(5,𝔽₂)	1	112	yes	—
903	C₂×C₄	C₂²×H(5,𝔽₂)	1	112	yes	—
904	C₂×C₄	C₂⁷	1	16	yes	—
905	C₂×C₄	C₂⁷	1	8	yes	—
906	C₂×C₄	C₂⁷	1	8	yes	—
907	C₂×C₄	C₂⁷	1	8	yes	—
908	C₂×C₄	C₂⁷	1	8	yes	—
909	C₂×C₄	C₂⁷	1	16	yes	—
910	C₂×C₄	C₂⁷	1	16	yes	—
911	C₂×C₄	C₂⁷	1	32	yes	—
912	C₂×C₄	C₂⁷	1	16	yes	—
913	C₂×C₄	C₂⁷	1	16	yes	—
914	C₂×C₄	C₂⁷	1	8	yes	—
915	C₂×C₄	C₂⁷	1	8	yes	—
916	C₂²	—	2	8	no	—
917	C₂²	—	2	8	no	—
918	C₂²	—	2	16	no	—
919	C₂²	—	2	16	no	—
920	C₂²	—	2	16	no	—
921	C₂²	—	2	16	no	—
922	C₂²	—	2	32	no	—
923	C₂²	—	2	32	no	—
924	C₂²	—	2	16	no	—
925	C₂²	—	2	16	no	—
926	C₂²	—	2	8	no	—
927	C₂²	—	2	16	no	—
928	C₂²	—	2	32	no	—
929	C₂²	—	2	16	no	—
930	C₂²	—	2	16	no	—
931	C₂²	—	4	112	no	—
932	C₂²	—	4	224	no	—
933	C₂²	—	4	448	no	—
934	C₂²	—	4	224	no	—
935	C₂²	—	4	224	no	—
936	C₂²	—	8	512	no	—
937	C₂²	C₂×#3546	1	112	yes	direct product factor
938	C₂²	C₂³×H(5,𝔽₂)	1	14	yes	—
939	C₂²	C₂³×H(5,𝔽₂)	1	14	yes	—
940	C₂²	C₂²×#585	1	14	yes	—
941	C₂²	C₂⁸	1	1	yes	characteristic
942	C₄	—	2	8	no	—
943	C₄	—	2	16	no	—
944	C₄	—	2	16	no	—
945	C₄	—	2	16	no	—
946	C₄	—	2	8	no	—
947	C₄	—	2	32	no	—
948	C₄	—	2	16	no	—
949	C₄	—	2	8	no	—
950	C₄	—	2	8	no	—
951	C₄	—	2	16	no	—
952	C₄	C₂³×H(5,𝔽₂)	1	16	yes	—
953	C₄	C₂³×H(5,𝔽₂)	1	16	yes	—
954	C₂	—	4	8	no	—
955	C₂	—	4	16	no	—
956	C₂	—	4	32	no	—
957	C₂	—	4	16	no	—
958	C₂	—	4	16	no	—
959	C₂	C₂²×#3546	1	28	yes	direct product factor
960	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
961	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
962	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×#3546	C₂	direct (N × H)
2. C₂³×#560	C₂	semidirect
3. C₂³×#556	C₂	semidirect
4. C₂³×#553	C₂	semidirect
5. C₂³×#550	C₂	semidirect
6. C₂³×#550	C₂	semidirect
7. C₂³×#547	C₂	semidirect
8. C₂³×#546	C₂	semidirect
9. C₂³×#546	C₂	semidirect
10. C₂³×D₄²	C₂	semidirect
11. C₂³×#542	C₂	semidirect
12. C₂³×#537	C₂	semidirect
13. C₂³×#535	C₂	semidirect
14. C₂³×#535	C₂	semidirect
15. C₂³×#538	C₂	semidirect
16. C₂³×#532	C₂	semidirect
17. C₂³×#532	C₂	semidirect
18. C₂³×#529	C₂	semidirect
19. C₂⁴×#41	C₂²	semidirect
20. C₂⁴×#41	C₂²	semidirect
21. C₂⁴×#41	C₂²	semidirect
22. C₂⁴×#41	C₂²	semidirect
25. C₂×#3546	C₂²	direct (N × H)
26. C₂²×#556	C₂²	semidirect
27. C₂²×#553	C₂²	semidirect
28. C₂²×#550	C₂²	semidirect
29. C₂²×#550	C₂²	semidirect
30. C₂²×#547	C₂²	semidirect
31. C₂²×#546	C₂²	semidirect
32. C₂²×#546	C₂²	semidirect
33. C₂²×D₄²	C₂²	semidirect
34. C₂²×#560	C₂²	semidirect
35. C₂²×#542	C₂²	semidirect
36. C₂²×#537	C₂²	semidirect
37. C₂²×#535	C₂²	semidirect
38. C₂²×#535	C₂²	semidirect
39. C₂²×#538	C₂²	semidirect
40. C₂²×#532	C₂²	semidirect
41. C₂²×#532	C₂²	semidirect
42. C₂³×C₄⋊Q₈	C₂²	semidirect
43. C₂³×C₄⋊Q₈	C₂²	semidirect
46. C₂³×#127	C₂²	semidirect
47. C₂³×#127	C₂²	semidirect
48. C₂²×#529	C₂²	semidirect
49. C₂³×#126	C₂²	semidirect
50. C₂³×#126	C₂²	semidirect
51. C₂³×#126	C₂²	semidirect
52. C₂³×#125	C₂²	semidirect
55. C₂³×#124	C₂²	semidirect
56. C₂³×#124	C₂²	semidirect
57. C₂³×#124	C₂²	semidirect
58. C₂³×#123	C₂²	semidirect
59. C₂³×#123	C₂²	semidirect
60. C₂³×#123	C₂²	semidirect
61. C₂³×#123	C₂²	semidirect
62. C₂³×C₂²⋊Q₈	C₂²	semidirect
63. C₂³×C₂²⋊Q₈	C₂²	semidirect
64. C₂³×C₂²⋊Q₈	C₂²	semidirect
65. C₂³×C₂²⋊Q₈	C₂²	semidirect
71. C₂³×#121	C₂²	semidirect
72. C₂³×#121	C₂²	semidirect
73. C₂³×#121	C₂²	semidirect
74. C₂³×#121	C₂²	semidirect
75. C₂³×#121	C₂²	semidirect
76. C₂³×#121	C₂²	semidirect
77. C₂³×#121	C₂²	semidirect
78. C₂³×#121	C₂²	semidirect
79. C₂³×#121	C₂²	semidirect
80. C₂³×#121	C₂²	semidirect
81. C₂³×#121	C₂²	semidirect
83. C₂³×#120	C₂²	semidirect
84. C₂³×#120	C₂²	semidirect
85. C₂³×#120	C₂²	semidirect
86. C₂³×C₄×Q₈	C₂²	semidirect
87. C₂³×C₄×Q₈	C₂²	semidirect
90. C₂³×C₄×D₄	C₂²	semidirect
91. C₂³×C₄×D₄	C₂²	semidirect
92. C₂³×C₄×D₄	C₂²	semidirect
93. C₂³×C₄×D₄	C₂²	semidirect
94. C₂³×C₄×D₄	C₂²	semidirect
95. C₂³×C₄×D₄	C₂²	semidirect
96. C₂³×C₄×D₄	C₂²	semidirect
97. C₂³×#117	C₂²	semidirect
98. C₂³×#117	C₂²	semidirect
99. C₂⁴×C₄⋊C₄	C₂²	semidirect
100. C₂⁴×C₂²⋊C₄	C₂²	semidirect
101. C₂⁴×C₄²	C₂²	semidirect
107. C₂³×#41	C₂³	semidirect
108. C₂³×#41	C₂³	semidirect
109. C₂³×#41	C₂³	semidirect
110. C₂³×#41	C₂³	semidirect
144. #3546	C₂³	direct (N × H)
145. C₂×#560	C₂³	semidirect
146. C₂×#556	C₂³	semidirect
147. C₂×#553	C₂³	semidirect
148. C₂×#550	C₂³	semidirect
149. C₂×#550	C₂³	semidirect
150. C₂×#547	C₂³	semidirect
151. C₂×#546	C₂³	semidirect
152. C₂×#546	C₂³	semidirect
153. C₂×D₄²	C₂³	semidirect
154. C₂×#542	C₂³	semidirect
155. C₂×#538	C₂³	semidirect
156. C₂×#537	C₂³	semidirect
157. C₂×#535	C₂³	semidirect
158. C₂×#535	C₂³	semidirect
159. C₂×#532	C₂³	semidirect
160. C₂×#532	C₂³	semidirect
161. C₂²×C₄⋊Q₈	C₂³	semidirect
162. C₂²×C₄⋊Q₈	C₂³	semidirect
165. C₂²×#127	C₂³	semidirect
166. C₂²×#127	C₂³	semidirect
167. C₂×#529	C₂³	semidirect
168. C₂²×#126	C₂³	semidirect
169. C₂²×#126	C₂³	semidirect
170. C₂²×#126	C₂³	semidirect
171. C₂²×#125	C₂³	semidirect
174. C₂²×#124	C₂³	semidirect
175. C₂²×#124	C₂³	semidirect
176. C₂²×#124	C₂³	semidirect
177. C₂²×#123	C₂³	semidirect
178. C₂²×#123	C₂³	semidirect
179. C₂²×#123	C₂³	semidirect
180. C₂²×#123	C₂³	semidirect
181. C₂²×C₂²⋊Q₈	C₂³	semidirect
182. C₂²×C₂²⋊Q₈	C₂³	semidirect
183. C₂²×C₂²⋊Q₈	C₂³	semidirect
184. C₂²×C₂²⋊Q₈	C₂³	semidirect
190. C₂²×#121	C₂³	semidirect
191. C₂²×#121	C₂³	semidirect
192. C₂²×#121	C₂³	semidirect
193. C₂²×#121	C₂³	semidirect
194. C₂²×#121	C₂³	semidirect
195. C₂²×#121	C₂³	semidirect
196. C₂²×#121	C₂³	semidirect
197. C₂²×#121	C₂³	semidirect
198. C₂²×#121	C₂³	semidirect
199. C₂²×#121	C₂³	semidirect
200. C₂²×#121	C₂³	semidirect
202. C₂²×#120	C₂³	semidirect
203. C₂²×#120	C₂³	semidirect
204. C₂²×#120	C₂³	semidirect
205. C₂²×C₄×Q₈	C₂³	semidirect
206. C₂²×C₄×Q₈	C₂³	semidirect
209. C₂²×C₄×D₄	C₂³	semidirect
210. C₂²×C₄×D₄	C₂³	semidirect
211. C₂²×C₄×D₄	C₂³	semidirect
212. C₂²×C₄×D₄	C₂³	semidirect
213. C₂²×C₄×D₄	C₂³	semidirect
214. C₂²×C₄×D₄	C₂³	semidirect
215. C₂²×C₄×D₄	C₂³	semidirect
216. C₂²×#117	C₂³	semidirect
217. C₂²×#117	C₂³	semidirect
231. C₂³×C₄⋊C₄	C₂³	semidirect
248. C₂³×C₂²⋊C₄	C₂³	semidirect
255. C₂³×C₄²	C₂³	semidirect
269. C₂²×#41	C₂⁴	semidirect
270. C₂²×#41	C₂⁴	semidirect
271. C₂²×#41	C₂⁴	semidirect
272. C₂²×#41	C₂⁴	semidirect
347. #560	C₂⁴	semidirect
348. #556	C₂⁴	semidirect
349. #553	C₂⁴	semidirect
350. #550	C₂⁴	semidirect
351. #550	C₂⁴	semidirect
352. #547	C₂⁴	semidirect
353. #546	C₂⁴	semidirect
354. #546	C₂⁴	semidirect
355. D₄²	C₂⁴	semidirect
356. #542	C₂⁴	semidirect
357. #538	C₂⁴	semidirect
358. #537	C₂⁴	semidirect
359. #535	C₂⁴	semidirect
360. #535	C₂⁴	semidirect
361. #532	C₂⁴	semidirect
362. #532	C₂⁴	semidirect
363. C₂×C₄⋊Q₈	C₂⁴	semidirect
364. C₂×C₄⋊Q₈	C₂⁴	semidirect
367. C₂×#127	C₂⁴	semidirect
368. C₂×#127	C₂⁴	semidirect
369. #529	C₂⁴	semidirect
370. C₂×#126	C₂⁴	semidirect
371. C₂×#126	C₂⁴	semidirect
372. C₂×#126	C₂⁴	semidirect
373. C₂×#125	C₂⁴	semidirect
376. C₂×#124	C₂⁴	semidirect
377. C₂×#124	C₂⁴	semidirect
378. C₂×#124	C₂⁴	semidirect
379. C₂×#123	C₂⁴	semidirect
380. C₂×#123	C₂⁴	semidirect
381. C₂×#123	C₂⁴	semidirect
382. C₂×#123	C₂⁴	semidirect
383. C₂×C₂²⋊Q₈	C₂⁴	semidirect
384. C₂×C₂²⋊Q₈	C₂⁴	semidirect
385. C₂×C₂²⋊Q₈	C₂⁴	semidirect
386. C₂×C₂²⋊Q₈	C₂⁴	semidirect
392. C₂×#121	C₂⁴	semidirect
393. C₂×#121	C₂⁴	semidirect
394. C₂×#121	C₂⁴	semidirect
395. C₂×#121	C₂⁴	semidirect
396. C₂×#121	C₂⁴	semidirect
397. C₂×#121	C₂⁴	semidirect
398. C₂×#121	C₂⁴	semidirect
399. C₂×#121	C₂⁴	semidirect
400. C₂×#121	C₂⁴	semidirect
401. C₂×#121	C₂⁴	semidirect
402. C₂×#121	C₂⁴	semidirect
404. C₂×#120	C₂⁴	semidirect
405. C₂×#120	C₂⁴	semidirect
406. C₂×#120	C₂⁴	semidirect
407. C₂×C₄×Q₈	C₂⁴	semidirect
408. C₂×C₄×Q₈	C₂⁴	semidirect
411. C₂×C₄×D₄	C₂⁴	semidirect
412. C₂×C₄×D₄	C₂⁴	semidirect
413. C₂×C₄×D₄	C₂⁴	semidirect
414. C₂×C₄×D₄	C₂⁴	semidirect
415. C₂×C₄×D₄	C₂⁴	semidirect
416. C₂×C₄×D₄	C₂⁴	semidirect
417. C₂×C₄×D₄	C₂⁴	semidirect
418. C₂×#117	C₂⁴	semidirect
419. C₂×#117	C₂⁴	semidirect
433. C₂²×C₄⋊C₄	C₂⁴	semidirect
450. C₂²×C₂²⋊C₄	C₂⁴	semidirect
457. C₂²×C₄²	C₂⁴	semidirect
488. C₂×#41	C₂⁵	semidirect
489. C₂×#41	C₂⁵	semidirect
490. C₂×#41	C₂⁵	semidirect
491. C₂×#41	C₂⁵	semidirect
578. C₄⋊Q₈	C₂⁵	semidirect
579. C₄⋊Q₈	C₂⁵	semidirect
582. #127	C₂⁵	semidirect
583. #127	C₂⁵	semidirect
584. #126	C₂⁵	semidirect
585. #126	C₂⁵	semidirect
586. #126	C₂⁵	semidirect
587. #125	C₂⁵	semidirect
590. #124	C₂⁵	semidirect
591. #124	C₂⁵	semidirect
592. #124	C₂⁵	semidirect
593. #123	C₂⁵	semidirect
594. #123	C₂⁵	semidirect
595. #123	C₂⁵	semidirect
596. #123	C₂⁵	semidirect
597. C₂²⋊Q₈	C₂⁵	semidirect
598. C₂²⋊Q₈	C₂⁵	semidirect
599. C₂²⋊Q₈	C₂⁵	semidirect
600. C₂²⋊Q₈	C₂⁵	semidirect
606. #121	C₂⁵	semidirect
607. #121	C₂⁵	semidirect
608. #121	C₂⁵	semidirect
609. #121	C₂⁵	semidirect
610. #121	C₂⁵	semidirect
611. #121	C₂⁵	semidirect
612. #121	C₂⁵	semidirect
613. #121	C₂⁵	semidirect
614. #121	C₂⁵	semidirect
615. #121	C₂⁵	semidirect
616. #121	C₂⁵	semidirect
618. #120	C₂⁵	semidirect
619. #120	C₂⁵	semidirect
620. #120	C₂⁵	semidirect
621. C₄×Q₈	C₂⁵	semidirect
622. C₄×Q₈	C₂⁵	semidirect
625. C₄×D₄	C₂⁵	semidirect
626. C₄×D₄	C₂⁵	semidirect
627. C₄×D₄	C₂⁵	semidirect
628. C₄×D₄	C₂⁵	semidirect
629. C₄×D₄	C₂⁵	semidirect
630. C₄×D₄	C₂⁵	semidirect
631. C₄×D₄	C₂⁵	semidirect
632. #117	C₂⁵	semidirect
633. #117	C₂⁵	semidirect
647. C₂×C₄⋊C₄	C₂⁵	semidirect
664. C₂×C₂²⋊C₄	C₂⁵	semidirect
671. C₂×C₄²	C₂⁵	semidirect
853. C₂³	#3546	direct (N × H)
937. C₂²	C₂×#3546	direct (N × H)
959. C₂	C₂²×#3546	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×#3546	2
C₂³×#560	2
C₂³×#556	2
C₂³×#553	2
C₂³×#550	2
C₂³×#547	2
C₂³×#546	2
C₂³×D₄²	2
C₂³×#542	2
C₂³×#537	2
C₂³×#535	2
C₂³×#538	2
C₂³×#532	2
C₂³×#529	2

Subgroups — C23×#3546 #72301669

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂³×#3546 #72301669