Subgroups — C₂³×#3521 #72324982

Order 1024.

479709 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#3521	C₂	1	224	yes	maximal, direct product factor
2	C₂³×#556	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂³×#556	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂³×#553	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂³×#553	C₂	1	2	yes	maximal, complemented
6	C₂³×#552	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂³×#552	C₂	1	2	yes	maximal, complemented
8	C₂³×#551	C₂	1	2	yes	maximal, complemented
9	C₂³×#551	C₂	1	2	yes	maximal, complemented
10	C₂³×#554	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂³×#547	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂³×#546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂³×#546	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂³×#541	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂³×#542	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×#539	C₂	1	2	yes	maximal, complemented
17	C₂³×#538	C₂	1	2	yes	maximal, complemented
18	C₂³×#529	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂³×#529	C₂	1	2	yes	maximal, complemented
20	C₂³×#529	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁴×#126	C₂	1	2	yes	maximal, complemented
22	C₂³×#520	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂³×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×C₄×#41	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂⁴×#41	C₂²	1	1	yes	characteristic
26	C₂⁴×#41	C₂²	1	1	yes	characteristic
27	C₂⁵×D₄	C₂²	1	1	yes	characteristic
28	C₂×#3521	C₂²	1	7168	yes	direct product factor
29	C₂²×#556	C₂²	1	112	yes	complemented
30	C₂²×#556	C₂²	1	112	yes	complemented
31	C₂²×#553	C₂²	1	112	yes	complemented
32	C₂²×#553	C₂²	1	224	yes	complemented
33	C₂²×#552	C₂²	1	112	yes	complemented
34	C₂²×#552	C₂²	1	224	yes	complemented
35	C₂²×#551	C₂²	1	224	yes	complemented
36	C₂²×#551	C₂²	1	224	yes	complemented
37	C₂²×#554	C₂²	1	112	yes	complemented
38	C₂²×#547	C₂²	1	112	yes	complemented
39	C₂²×#546	C₂²	1	112	yes	complemented
40	C₂²×#546	C₂²	1	112	yes	complemented
41	C₂²×#541	C₂²	1	112	yes	complemented
42	C₂²×#542	C₂²	1	112	yes	complemented
43	C₂²×#539	C₂²	1	224	yes	complemented
44	C₂²×#538	C₂²	1	224	yes	complemented
45	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#529	C₂²	1	112	yes	complemented
48	C₂²×#529	C₂²	1	224	yes	complemented
49	C₂²×#529	C₂²	1	112	yes	complemented
50	C₂³×#126	C₂²	1	1	yes	characteristic
51	C₂³×#126	C₂²	1	2	yes	—
52	C₂³×#126	C₂²	1	2	yes	—
53	C₂³×#126	C₂²	1	2	yes	—
54	C₂³×#126	C₂²	1	2	yes	—
55	C₂³×#126	C₂²	1	2	yes	complemented
56	C₂³×#126	C₂²	1	2	yes	complemented
57	C₂³×#126	C₂²	1	2	yes	complemented
58	C₂³×#126	C₂²	1	2	yes	complemented
59	C₂³×#126	C₂²	1	1	yes	characteristic, complemented
60	C₂³×#126	C₂²	1	2	yes	complemented
61	C₂³×#126	C₂²	1	2	yes	complemented
62	C₂³×#126	C₂²	1	224	yes	complemented
63	C₂³×#125	C₂²	1	2	yes	complemented
64	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
65	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
66	C₂³×#125	C₂²	1	2	yes	complemented
67	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
68	C₂³×#125	C₂²	1	2	yes	complemented
69	C₂³×#124	C₂²	1	1	yes	characteristic
70	C₂³×#124	C₂²	1	1	yes	characteristic
71	C₂³×#124	C₂²	1	2	yes	—
72	C₂³×#124	C₂²	1	1	yes	characteristic
73	C₂³×#124	C₂²	1	2	yes	complemented
74	C₂³×#123	C₂²	1	2	yes	—
75	C₂³×#123	C₂²	1	1	yes	characteristic
76	C₂³×#123	C₂²	1	2	yes	—
77	C₂³×#123	C₂²	1	2	yes	—
78	C₂³×#123	C₂²	1	2	yes	complemented
79	C₂³×#123	C₂²	1	2	yes	complemented
80	C₂³×#123	C₂²	1	1	yes	characteristic, complemented
81	C₂³×#123	C₂²	1	2	yes	complemented
82	C₂³×#123	C₂²	1	2	yes	complemented
83	C₂³×#123	C₂²	1	2	yes	complemented
84	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
85	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
86	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
87	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
88	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
89	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
90	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
91	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
92	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
93	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
94	C₂³×#121	C₂²	1	1	yes	characteristic
95	C₂³×#121	C₂²	1	1	yes	characteristic
96	C₂³×#121	C₂²	1	2	yes	—
97	C₂³×#121	C₂²	1	2	yes	—
98	C₂³×#121	C₂²	1	1	yes	characteristic
99	C₂³×#121	C₂²	1	2	yes	complemented
100	C₂³×#121	C₂²	1	2	yes	complemented
101	C₂³×#120	C₂²	1	2	yes	—
102	C₂³×#120	C₂²	1	2	yes	—
103	C₂²×#520	C₂²	1	112	yes	complemented
104	C₂²×#518	C₂²	1	112	yes	complemented
105	C₂²×C₄×#41	C₂²	1	112	yes	complemented
106	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
107	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
108	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
109	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
110	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
111	C₂³×C₄×Q₈	C₂²	1	2	yes	complemented
112	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
113	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
114	C₂³×C₄×D₄	C₂²	1	2	yes	—
115	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
116	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
117	C₂³×C₄×D₄	C₂²	1	2	yes	—
118	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
119	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
120	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
121	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
122	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
123	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
124	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
125	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
126	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
127	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
128	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
129	C₂³×#117	C₂²	1	1	yes	characteristic
130	C₂³×#117	C₂²	1	1	yes	characteristic
131	C₂³×#117	C₂²	1	2	yes	complemented
132	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
133	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
134	C₂³×#117	C₂²	1	2	yes	complemented
135	C₂³×#117	C₂²	1	2	yes	complemented
136	C₂³×#117	C₂²	1	2	yes	complemented
137	C₂³×#117	C₂²	1	2	yes	complemented
138	C₂⁴×C₄⋊C₄	C₂²	1	2	yes	complemented
139	C₂⁴×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
140	C₂⁴×C₄⋊C₄	C₂²	1	2	yes	complemented
141	C₂⁴×C₄⋊C₄	C₂²	1	2	yes	complemented
142	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
143	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
144	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
145	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
146	C₂⁴×C₄²	C₂²	1	2	yes	complemented
147	C₂⁴×C₄²	C₂²	1	1	yes	characteristic, complemented
148	C₂⁷	C₂³	1	2	yes	—
149	C₂³×#41	—	2	32	no	—
150	C₂³×#41	—	2	32	no	—
151	C₂³×#41	C₂³	1	56	yes	—
152	C₂³×#41	C₂³	1	56	yes	—
153	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
154	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
155	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
156	C₂⁴×Q₈	C₂³	1	2	yes	—
157	C₂⁴×D₄	—	2	32	no	—
158	C₂⁴×D₄	C₂³	1	2	yes	—
159	C₂⁴×D₄	C₂³	1	1	yes	characteristic
160	C₂⁴×D₄	C₂³	1	56	yes	—
161	C₂⁴×D₄	C₂³	1	2	yes	—
162	C₂⁴×D₄	C₂³	1	2	yes	—
163	C₂⁴×D₄	C₂³	1	1	yes	characteristic
164	C₂⁴×D₄	C₂³	1	1	yes	characteristic
165	C₂⁴×D₄	C₂³	1	2	yes	—
166	C₂⁴×D₄	C₂³	1	2	yes	—
167	C₂⁴×D₄	C₂³	1	1	yes	characteristic
168	C₂⁴×D₄	C₂³	1	1	yes	characteristic
169	C₂⁵×C₄	C₂³	1	1	yes	characteristic
170	C₂⁵×C₄	C₂³	1	2	yes	—
171	C₂⁵×C₄	C₂³	1	1	yes	characteristic
172	C₂⁵×C₄	C₂³	1	2	yes	—
173	C₂⁵×C₄	C₂³	1	1	yes	characteristic
174	C₂⁵×C₄	C₂³	1	2	yes	—
175	C₂⁵×C₄	C₂³	1	2	yes	—
176	C₂⁵×C₄	C₂³	1	1	yes	characteristic
177	C₂⁵×C₄	C₂³	1	1	yes	characteristic
178	C₂⁵×C₄	C₂³	1	2	yes	—
179	C₂⁵×C₄	C₂³	1	2	yes	—
180	C₂⁵×C₄	C₂³	1	2	yes	—
181	C₂⁵×C₄	C₂³	1	2	yes	—
182	C₂⁵×C₄	C₂³	1	2	yes	—
183	#3521	C₂³	1	32768	yes	direct product factor
184	C₂×#556	C₂³	1	1792	yes	complemented
185	C₂×#556	C₂³	1	1792	yes	complemented
186	C₂×#554	C₂³	1	1792	yes	complemented
187	C₂×#553	C₂³	1	1792	yes	complemented
188	C₂×#553	C₂³	1	3584	yes	complemented
189	C₂×#552	C₂³	1	1792	yes	complemented
190	C₂×#552	C₂³	1	3584	yes	complemented
191	C₂×#551	C₂³	1	3584	yes	complemented
192	C₂×#551	C₂³	1	3584	yes	complemented
193	C₂×#547	C₂³	1	1792	yes	complemented
194	C₂×#546	C₂³	1	1792	yes	complemented
195	C₂×#546	C₂³	1	1792	yes	complemented
196	C₂×#542	C₂³	1	1792	yes	complemented
197	C₂×#541	C₂³	1	1792	yes	complemented
198	C₂×#539	C₂³	1	3584	yes	complemented
199	C₂×#538	C₂³	1	3584	yes	complemented
200	C₂²×C₄⋊Q₈	C₂³	1	56	yes	complemented
201	C₂²×C₄⋊Q₈	C₂³	1	56	yes	complemented
202	C₂×#529	C₂³	1	1792	yes	complemented
203	C₂×#529	C₂³	1	3584	yes	complemented
204	C₂×#529	C₂³	1	1792	yes	complemented
205	C₂²×#126	C₂³	1	56	yes	—
206	C₂²×#126	C₂³	1	112	yes	—
207	C₂²×#126	C₂³	1	112	yes	—
208	C₂²×#126	C₂³	1	112	yes	—
209	C₂²×#126	C₂³	1	112	yes	—
210	C₂²×#126	C₂³	1	112	yes	complemented
211	C₂²×#126	C₂³	1	112	yes	complemented
212	C₂²×#126	C₂³	1	112	yes	complemented
213	C₂²×#126	C₂³	1	112	yes	complemented
214	C₂²×#126	C₂³	1	56	yes	complemented
215	C₂²×#126	C₂³	1	112	yes	complemented
216	C₂²×#126	C₂³	1	112	yes	complemented
217	C₂²×#126	C₂³	1	3584	yes	complemented
218	C₂²×#125	C₂³	1	112	yes	complemented
219	C₂²×#125	C₂³	1	56	yes	complemented
220	C₂²×#125	C₂³	1	56	yes	complemented
221	C₂²×#125	C₂³	1	112	yes	complemented
222	C₂²×#125	C₂³	1	56	yes	complemented
223	C₂²×#125	C₂³	1	112	yes	complemented
224	C₂²×#124	C₂³	1	56	yes	—
225	C₂²×#124	C₂³	1	56	yes	—
226	C₂²×#124	C₂³	1	112	yes	—
227	C₂²×#124	C₂³	1	56	yes	—
228	C₂²×#124	C₂³	1	112	yes	complemented
229	C₂²×#123	C₂³	1	112	yes	—
230	C₂²×#123	C₂³	1	56	yes	—
231	C₂²×#123	C₂³	1	112	yes	—
232	C₂²×#123	C₂³	1	112	yes	—
233	C₂²×#123	C₂³	1	112	yes	complemented
234	C₂²×#123	C₂³	1	112	yes	complemented
235	C₂²×#123	C₂³	1	56	yes	complemented
236	C₂²×#123	C₂³	1	112	yes	complemented
237	C₂²×#123	C₂³	1	112	yes	complemented
238	C₂²×#123	C₂³	1	112	yes	complemented
239	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	—
240	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	—
241	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
242	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
243	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
244	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
245	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
246	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
247	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
248	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
249	C₂²×#121	C₂³	1	56	yes	—
250	C₂²×#121	C₂³	1	56	yes	—
251	C₂²×#121	C₂³	1	112	yes	—
252	C₂²×#121	C₂³	1	112	yes	—
253	C₂²×#121	C₂³	1	56	yes	—
254	C₂²×#121	C₂³	1	112	yes	complemented
255	C₂²×#121	C₂³	1	112	yes	complemented
256	C₂²×#120	C₂³	1	112	yes	—
257	C₂²×#120	C₂³	1	112	yes	—
258	C₂×#520	C₂³	1	1792	yes	complemented
259	C₂×#518	C₂³	1	1792	yes	complemented
260	C₂×C₄×#41	C₂³	1	1792	yes	complemented
261	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
262	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
263	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
264	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
265	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
266	C₂²×C₄×Q₈	C₂³	1	112	yes	complemented
267	C₂²×C₄×D₄	C₂³	1	56	yes	—
268	C₂²×C₄×D₄	C₂³	1	56	yes	—
269	C₂²×C₄×D₄	C₂³	1	112	yes	—
270	C₂²×C₄×D₄	C₂³	1	56	yes	—
271	C₂²×C₄×D₄	C₂³	1	56	yes	—
272	C₂²×C₄×D₄	C₂³	1	112	yes	—
273	C₂²×C₄×D₄	C₂³	1	56	yes	—
274	C₂²×C₄×D₄	C₂³	1	56	yes	—
275	C₂²×C₄×D₄	C₂³	1	56	yes	—
276	C₂²×C₄×D₄	C₂³	1	56	yes	—
277	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
278	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
279	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
280	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
281	C₂²×C₄×D₄	C₂³	1	56	yes	complemented
282	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
283	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
284	C₂²×#117	C₂³	1	56	yes	—
285	C₂²×#117	C₂³	1	56	yes	—
286	C₂²×#117	C₂³	1	112	yes	complemented
287	C₂²×#117	C₂³	1	56	yes	complemented
288	C₂²×#117	C₂³	1	56	yes	complemented
289	C₂²×#117	C₂³	1	112	yes	complemented
290	C₂²×#117	C₂³	1	112	yes	complemented
291	C₂²×#117	C₂³	1	112	yes	complemented
292	C₂²×#117	C₂³	1	112	yes	complemented
293	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
295	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
299	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
300	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
302	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
303	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
304	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
305	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
307	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
314	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
315	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
316	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
317	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
318	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
321	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
322	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂³×C₄⋊C₄	C₂³	1	112	yes	complemented
324	C₂³×C₄⋊C₄	C₂³	1	56	yes	complemented
325	C₂³×C₄⋊C₄	C₂³	1	112	yes	complemented
326	C₂³×C₄⋊C₄	C₂³	1	112	yes	complemented
327	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
329	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
334	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
335	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
336	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
337	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
338	C₂³×C₂²⋊C₄	C₂³	1	112	yes	—
339	C₂³×C₂²⋊C₄	C₂³	1	112	yes	—
340	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
341	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
342	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
343	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
344	C₂³×C₂²⋊C₄	C₂³	1	112	yes	—
345	C₂³×C₂²⋊C₄	C₂³	1	112	yes	—
346	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
348	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
349	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
351	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
353	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
354	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
355	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
358	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
359	C₂³×C₄²	C₂³	1	1	yes	characteristic
360	C₂³×C₄²	C₂³	1	1	yes	characteristic
361	C₂³×C₄²	C₂³	1	1	yes	characteristic
362	C₂³×C₄²	C₂³	1	2	yes	—
363	C₂³×C₄²	C₂³	1	2	yes	—
364	C₂³×C₄²	C₂³	1	1	yes	characteristic
365	C₂³×C₄²	C₂³	1	2	yes	—
366	C₂³×C₄²	C₂³	1	2	yes	—
367	C₂³×C₄²	C₂³	1	1	yes	characteristic
368	C₂³×C₄²	C₂³	1	2	yes	—
369	C₂³×C₄²	C₂³	1	2	yes	—
370	C₂³×C₄²	C₂³	1	1	yes	characteristic
371	C₂³×C₄²	C₂³	1	112	yes	complemented
372	C₂³×C₄²	C₂³	1	56	yes	complemented
373	C₂⁶	—	2	32	no	—
374	C₂⁶	—	4	16	no	—
375	C₂⁶	—	4	16	no	—
376	C₂⁶	C₂⁴	1	1	yes	characteristic
377	C₂⁶	C₂⁴	1	1	yes	characteristic
378	C₂⁶	C₂⁴	1	2	yes	—
379	C₂⁶	C₂⁴	1	1	yes	characteristic
380	C₂⁶	C₂⁴	1	2	yes	—
381	C₂⁶	C₂⁴	1	56	yes	—
382	C₂²×#41	—	2	896	no	—
383	C₂²×#41	—	2	896	no	—
384	C₂²×#41	C₂⁴	1	448	yes	—
385	C₂²×#41	C₂⁴	1	448	yes	—
386	C₂³×Q₈	—	2	16	no	—
387	C₂³×Q₈	—	2	16	no	—
388	C₂³×Q₈	—	4	8	no	—
389	C₂³×Q₈	—	4	16	no	—
390	C₂³×Q₈	C₂⁴	1	28	yes	—
391	C₂³×Q₈	C₂⁴	1	28	yes	—
392	C₂³×Q₈	C₂⁴	1	28	yes	—
393	C₂³×Q₈	C₂⁴	1	56	yes	—
394	C₂³×D₄	—	2	32	no	—
395	C₂³×D₄	—	2	32	no	—
396	C₂³×D₄	—	2	32	no	—
397	C₂³×D₄	—	2	896	no	—
398	C₂³×D₄	—	2	16	no	—
399	C₂³×D₄	—	4	16	no	—
400	C₂³×D₄	—	4	8	no	—
401	C₂³×D₄	—	4	8	no	—
402	C₂³×D₄	—	4	16	no	—
403	C₂³×D₄	—	4	8	no	—
404	C₂³×D₄	#41	1	32	yes	—
405	C₂³×D₄	C₂⁴	1	56	yes	—
406	C₂³×D₄	C₂⁴	1	28	yes	—
407	C₂³×D₄	C₂⁴	1	448	yes	—
408	C₂³×D₄	C₂⁴	1	56	yes	—
409	C₂³×D₄	C₂⁴	1	56	yes	—
410	C₂³×D₄	C₂⁴	1	28	yes	—
411	C₂³×D₄	C₂⁴	1	28	yes	—
412	C₂³×D₄	C₂⁴	1	56	yes	—
413	C₂³×D₄	C₂⁴	1	56	yes	—
414	C₂³×D₄	C₂⁴	1	28	yes	—
415	C₂³×D₄	C₂⁴	1	28	yes	—
416	C₂⁴×C₄	—	2	32	no	—
417	C₂⁴×C₄	—	2	32	no	—
418	C₂⁴×C₄	—	2	16	no	—
419	C₂⁴×C₄	—	2	16	no	—
420	C₂⁴×C₄	—	2	16	no	—
421	C₂⁴×C₄	—	4	16	no	—
422	C₂⁴×C₄	—	4	8	no	—
423	C₂⁴×C₄	—	4	16	no	—
424	C₂⁴×C₄	—	4	16	no	—
425	C₂⁴×C₄	—	4	16	no	—
426	C₂⁴×C₄	—	4	16	no	—
427	C₂⁴×C₄	—	4	8	no	—
428	C₂⁴×C₄	—	4	16	no	—
429	C₂⁴×C₄	—	4	16	no	—
430	C₂⁴×C₄	C₂⁴	1	28	yes	—
431	C₂⁴×C₄	C₂⁴	1	56	yes	—
432	C₂⁴×C₄	C₂⁴	1	28	yes	—
433	C₂⁴×C₄	C₂⁴	1	56	yes	—
434	C₂⁴×C₄	C₂⁴	1	28	yes	—
435	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
436	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
437	C₂⁴×C₄	C₂⁴	1	2	yes	—
438	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
439	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
440	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
441	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
442	C₂⁴×C₄	C₂⁴	1	2	yes	—
443	C₂⁴×C₄	C₂⁴	1	2	yes	—
444	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
445	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
446	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
447	C₂⁴×C₄	C₂⁴	1	2	yes	—
448	C₂⁴×C₄	C₂⁴	1	2	yes	—
449	C₂⁴×C₄	C₂⁴	1	2	yes	—
450	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
451	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
452	C₂⁴×C₄	C₂⁴	1	56	yes	—
453	C₂⁴×C₄	C₂⁴	1	56	yes	—
454	C₂⁴×C₄	C₂⁴	1	28	yes	—
455	C₂⁴×C₄	C₂⁴	1	28	yes	—
456	C₂⁴×C₄	C₂⁴	1	56	yes	—
457	C₂⁴×C₄	C₂⁴	1	56	yes	—
458	C₂⁴×C₄	C₂⁴	1	56	yes	—
459	C₂⁴×C₄	C₂⁴	1	56	yes	—
460	C₂⁴×C₄	C₂⁴	1	56	yes	—
461	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
462	#556	C₂⁴	1	4096	yes	complemented
463	#556	C₂⁴	1	4096	yes	complemented
464	#554	C₂⁴	1	4096	yes	complemented
465	#553	C₂⁴	1	4096	yes	complemented
466	#553	C₂⁴	1	8192	yes	complemented
467	#552	C₂⁴	1	4096	yes	complemented
468	#552	C₂⁴	1	8192	yes	complemented
469	#551	C₂⁴	1	8192	yes	complemented
470	#551	C₂⁴	1	8192	yes	complemented
471	#547	C₂⁴	1	4096	yes	complemented
472	#546	C₂⁴	1	4096	yes	complemented
473	#546	C₂⁴	1	4096	yes	complemented
474	#542	C₂⁴	1	4096	yes	complemented
475	#541	C₂⁴	1	4096	yes	complemented
476	#539	C₂⁴	1	8192	yes	complemented
477	#538	C₂⁴	1	8192	yes	complemented
478	C₂×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
479	C₂×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
480	#529	C₂⁴	1	4096	yes	complemented
481	#529	C₂⁴	1	8192	yes	complemented
482	#529	C₂⁴	1	4096	yes	complemented
483	C₂×#126	C₂⁴	1	448	yes	—
484	C₂×#126	C₂⁴	1	896	yes	—
485	C₂×#126	C₂⁴	1	896	yes	—
486	C₂×#126	C₂⁴	1	896	yes	—
487	C₂×#126	C₂⁴	1	896	yes	—
488	C₂×#126	C₂⁴	1	896	yes	complemented
489	C₂×#126	C₂⁴	1	896	yes	complemented
490	C₂×#126	C₂⁴	1	896	yes	complemented
491	C₂×#126	C₂⁴	1	896	yes	complemented
492	C₂×#126	C₂⁴	1	448	yes	complemented
493	C₂×#126	C₂⁴	1	896	yes	complemented
494	C₂×#126	C₂⁴	1	896	yes	complemented
495	C₂×#126	C₂⁴	1	8192	yes	complemented
496	C₂×#125	C₂⁴	1	896	yes	complemented
497	C₂×#125	C₂⁴	1	448	yes	complemented
498	C₂×#125	C₂⁴	1	448	yes	complemented
499	C₂×#125	C₂⁴	1	896	yes	complemented
500	C₂×#125	C₂⁴	1	896	yes	complemented
501	C₂×#125	C₂⁴	1	448	yes	complemented
502	C₂×#124	C₂⁴	1	448	yes	—
503	C₂×#124	C₂⁴	1	448	yes	—
504	C₂×#124	C₂⁴	1	896	yes	—
505	C₂×#124	C₂⁴	1	448	yes	—
506	C₂×#124	C₂⁴	1	896	yes	complemented
507	C₂×#123	C₂⁴	1	896	yes	—
508	C₂×#123	C₂⁴	1	448	yes	—
509	C₂×#123	C₂⁴	1	896	yes	—
510	C₂×#123	C₂⁴	1	896	yes	—
511	C₂×#123	C₂⁴	1	896	yes	complemented
512	C₂×#123	C₂⁴	1	896	yes	complemented
513	C₂×#123	C₂⁴	1	448	yes	complemented
514	C₂×#123	C₂⁴	1	896	yes	complemented
515	C₂×#123	C₂⁴	1	896	yes	complemented
516	C₂×#123	C₂⁴	1	896	yes	complemented
517	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	—
518	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	—
519	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
520	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
521	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
522	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
523	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
524	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
525	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
526	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
527	C₂×#121	C₂⁴	1	448	yes	—
528	C₂×#121	C₂⁴	1	448	yes	—
529	C₂×#121	C₂⁴	1	896	yes	—
530	C₂×#121	C₂⁴	1	896	yes	—
531	C₂×#121	C₂⁴	1	448	yes	—
532	C₂×#121	C₂⁴	1	896	yes	complemented
533	C₂×#121	C₂⁴	1	896	yes	complemented
534	C₂×#120	C₂⁴	1	896	yes	—
535	C₂×#120	C₂⁴	1	896	yes	—
536	#520	C₂⁴	1	4096	yes	complemented
537	#518	C₂⁴	1	4096	yes	complemented
538	C₄×#41	C₂⁴	1	4096	yes	complemented
539	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
540	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
541	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
542	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
543	C₂×C₄×Q₈	C₂⁴	1	896	yes	complemented
544	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
545	C₂×C₄×D₄	C₂⁴	1	448	yes	—
546	C₂×C₄×D₄	C₂⁴	1	448	yes	—
547	C₂×C₄×D₄	C₂⁴	1	896	yes	—
548	C₂×C₄×D₄	C₂⁴	1	448	yes	—
549	C₂×C₄×D₄	C₂⁴	1	448	yes	—
550	C₂×C₄×D₄	C₂⁴	1	896	yes	—
551	C₂×C₄×D₄	C₂⁴	1	448	yes	—
552	C₂×C₄×D₄	C₂⁴	1	448	yes	—
553	C₂×C₄×D₄	C₂⁴	1	448	yes	—
554	C₂×C₄×D₄	C₂⁴	1	448	yes	—
555	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
556	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
557	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
558	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
559	C₂×C₄×D₄	C₂⁴	1	448	yes	complemented
560	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
561	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
562	C₂×#117	C₂⁴	1	448	yes	—
563	C₂×#117	C₂⁴	1	448	yes	—
564	C₂×#117	C₂⁴	1	896	yes	complemented
565	C₂×#117	C₂⁴	1	448	yes	complemented
566	C₂×#117	C₂⁴	1	448	yes	complemented
567	C₂×#117	C₂⁴	1	896	yes	complemented
568	C₂×#117	C₂⁴	1	896	yes	complemented
569	C₂×#117	C₂⁴	1	896	yes	complemented
570	C₂×#117	C₂⁴	1	896	yes	complemented
571	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
572	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
573	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
574	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
575	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
576	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
577	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
578	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
579	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
580	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
581	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
582	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
583	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
584	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
585	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
586	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
587	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
588	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
589	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
590	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
591	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
592	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
593	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
594	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
595	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
596	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
597	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
598	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
599	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
600	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
601	C₂²×C₄⋊C₄	C₂⁴	1	896	yes	complemented
602	C₂²×C₄⋊C₄	C₂⁴	1	448	yes	complemented
603	C₂²×C₄⋊C₄	C₂⁴	1	896	yes	complemented
604	C₂²×C₄⋊C₄	C₂⁴	1	896	yes	complemented
605	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
606	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
607	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
608	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
609	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
610	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
611	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
612	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
613	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
614	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
615	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
616	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
617	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
618	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
619	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
620	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
621	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
622	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
623	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
624	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
625	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
626	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
627	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
628	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
629	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
630	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
631	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
632	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
633	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
634	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
635	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
636	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
637	C₂²×C₄²	C₂⁴	1	28	yes	—
638	C₂²×C₄²	C₂⁴	1	28	yes	—
639	C₂²×C₄²	C₂⁴	1	28	yes	—
640	C₂²×C₄²	C₂⁴	1	56	yes	—
641	C₂²×C₄²	C₂⁴	1	56	yes	—
642	C₂²×C₄²	C₂⁴	1	28	yes	—
643	C₂²×C₄²	C₂⁴	1	56	yes	—
644	C₂²×C₄²	C₂⁴	1	56	yes	—
645	C₂²×C₄²	C₂⁴	1	28	yes	—
646	C₂²×C₄²	C₂⁴	1	56	yes	—
647	C₂²×C₄²	C₂⁴	1	56	yes	—
648	C₂²×C₄²	C₂⁴	1	28	yes	—
649	C₂²×C₄²	C₂⁴	1	896	yes	complemented
650	C₂²×C₄²	C₂⁴	1	448	yes	complemented
651	C₂⁵	—	2	16	no	—
652	C₂⁵	—	2	16	no	—
653	C₂⁵	—	2	8	no	—
654	C₂⁵	—	2	8	no	—
655	C₂⁵	—	2	8	no	—
656	C₂⁵	—	2	16	no	—
657	C₂⁵	—	2	8	no	—
658	C₂⁵	—	2	8	no	—
659	C₂⁵	—	2	8	no	—
660	C₂⁵	—	2	16	no	—
661	C₂⁵	—	2	16	no	—
662	C₂⁵	—	2	8	no	—
663	C₂⁵	—	2	8	no	—
664	C₂⁵	—	2	8	no	—
665	C₂⁵	—	2	448	no	—
666	C₂⁵	—	4	224	no	—
667	C₂⁵	—	4	224	no	—
668	C₂⁵	—	8	256	no	—
669	C₂⁵	C₂×#41	1	32	yes	—
670	C₂⁵	C₂⁵	1	14	yes	—
671	C₂⁵	C₂⁵	1	28	yes	—
672	C₂⁵	C₂⁵	1	14	yes	—
673	C₂⁵	C₂⁵	1	14	yes	—
674	C₂⁵	C₂⁵	1	28	yes	—
675	C₂⁵	C₂⁵	1	224	yes	—
676	C₂⁵	C₂⁵	1	1	yes	characteristic
677	C₂×#41	—	2	3584	no	—
678	C₂×#41	—	2	3584	no	—
679	C₂×#41	C₂⁵	1	512	yes	—
680	C₂×#41	C₂⁵	1	512	yes	—
681	C₂²×Q₈	—	2	224	no	—
682	C₂²×Q₈	—	2	224	no	—
683	C₂²×Q₈	—	4	112	no	—
684	C₂²×Q₈	—	4	224	no	—
685	C₂²×Q₈	C₂⁵	1	112	yes	—
686	C₂²×Q₈	C₂⁵	1	112	yes	—
687	C₂²×Q₈	C₂⁵	1	112	yes	—
688	C₂²×Q₈	C₂⁵	1	224	yes	—
689	C₂²×D₄	—	2	448	no	—
690	C₂²×D₄	—	2	448	no	—
691	C₂²×D₄	—	2	448	no	—
692	C₂²×D₄	—	2	3584	no	—
693	C₂²×D₄	—	2	224	no	—
694	C₂²×D₄	—	4	224	no	—
695	C₂²×D₄	—	4	112	no	—
696	C₂²×D₄	—	4	112	no	—
697	C₂²×D₄	—	4	224	no	—
698	C₂²×D₄	—	4	112	no	—
699	C₂²×D₄	C₂×#41	1	448	yes	—
700	C₂²×D₄	C₂⁵	1	224	yes	—
701	C₂²×D₄	C₂⁵	1	112	yes	—
702	C₂²×D₄	C₂⁵	1	224	yes	—
703	C₂²×D₄	C₂⁵	1	224	yes	—
704	C₂²×D₄	C₂⁵	1	512	yes	—
705	C₂²×D₄	C₂⁵	1	112	yes	—
706	C₂²×D₄	C₂⁵	1	112	yes	—
707	C₂²×D₄	C₂⁵	1	224	yes	—
708	C₂²×D₄	C₂⁵	1	224	yes	—
709	C₂²×D₄	C₂⁵	1	112	yes	—
710	C₂²×D₄	C₂⁵	1	112	yes	—
711	C₂³×C₄	—	2	8	no	—
712	C₂³×C₄	—	2	8	no	—
713	C₂³×C₄	—	2	8	no	—
714	C₂³×C₄	—	2	16	no	—
715	C₂³×C₄	—	2	16	no	—
716	C₂³×C₄	—	2	448	no	—
717	C₂³×C₄	—	2	448	no	—
718	C₂³×C₄	—	2	8	no	—
719	C₂³×C₄	—	2	16	no	—
720	C₂³×C₄	—	2	8	no	—
721	C₂³×C₄	—	2	8	no	—
722	C₂³×C₄	—	2	16	no	—
723	C₂³×C₄	—	2	8	no	—
724	C₂³×C₄	—	2	8	no	—
725	C₂³×C₄	—	2	8	no	—
726	C₂³×C₄	—	2	16	no	—
727	C₂³×C₄	—	2	8	no	—
728	C₂³×C₄	—	2	16	no	—
729	C₂³×C₄	—	2	8	no	—
730	C₂³×C₄	—	2	224	no	—
731	C₂³×C₄	—	2	224	no	—
732	C₂³×C₄	—	2	224	no	—
733	C₂³×C₄	—	4	224	no	—
734	C₂³×C₄	—	4	112	no	—
735	C₂³×C₄	—	4	224	no	—
736	C₂³×C₄	—	4	224	no	—
737	C₂³×C₄	—	4	224	no	—
738	C₂³×C₄	—	4	224	no	—
739	C₂³×C₄	—	4	112	no	—
740	C₂³×C₄	—	4	224	no	—
741	C₂³×C₄	—	4	224	no	—
742	C₂³×C₄	C₂×#41	1	16	yes	—
743	C₂³×C₄	C₂⁵	1	14	yes	—
744	C₂³×C₄	C₂⁵	1	28	yes	—
745	C₂³×C₄	C₂⁵	1	14	yes	—
746	C₂³×C₄	C₂⁵	1	14	yes	—
747	C₂³×C₄	C₂⁵	1	14	yes	—
748	C₂³×C₄	C₂⁵	1	28	yes	—
749	C₂³×C₄	C₂⁵	1	28	yes	—
750	C₂³×C₄	C₂⁵	1	28	yes	—
751	C₂³×C₄	C₂⁵	1	14	yes	—
752	C₂³×C₄	C₂⁵	1	14	yes	—
753	C₂³×C₄	C₂⁵	1	14	yes	—
754	C₂³×C₄	C₂⁵	1	14	yes	—
755	C₂³×C₄	C₂⁵	1	28	yes	—
756	C₂³×C₄	C₂⁵	1	14	yes	—
757	C₂³×C₄	C₂⁵	1	14	yes	—
758	C₂³×C₄	C₂⁵	1	28	yes	—
759	C₂³×C₄	C₂⁵	1	14	yes	—
760	C₂³×C₄	C₂⁵	1	224	yes	—
761	C₂³×C₄	C₂⁵	1	224	yes	—
762	C₂³×C₄	C₂⁵	1	112	yes	—
763	C₂³×C₄	C₂⁵	1	112	yes	—
764	C₂³×C₄	C₂⁵	1	112	yes	—
765	C₂³×C₄	C₂⁵	1	224	yes	—
766	C₂³×C₄	C₂⁵	1	224	yes	—
767	C₂³×C₄	C₂⁵	1	224	yes	—
768	C₂³×C₄	C₂⁵	1	224	yes	—
769	C₂³×C₄	C₂⁵	1	224	yes	—
770	C₂³×C₄	C₂⁵	1	224	yes	—
771	C₂³×C₄	C₂⁵	1	224	yes	—
772	C₂³×C₄	C₂⁵	1	112	yes	—
773	C₂³×C₄	C₂⁵	1	112	yes	—
774	C₂³×C₄	C₂⁵	1	14	yes	—
775	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
776	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
777	#126	C₂⁵	1	512	yes	—
778	#126	C₂⁵	1	1024	yes	—
779	#126	C₂⁵	1	1024	yes	—
780	#126	C₂⁵	1	1024	yes	—
781	#126	C₂⁵	1	1024	yes	—
782	#126	C₂⁵	1	1024	yes	complemented
783	#126	C₂⁵	1	1024	yes	complemented
784	#126	C₂⁵	1	1024	yes	complemented
785	#126	C₂⁵	1	1024	yes	complemented
786	#126	C₂⁵	1	512	yes	complemented
787	#126	C₂⁵	1	1024	yes	complemented
788	#126	C₂⁵	1	1024	yes	complemented
789	#125	C₂⁵	1	1024	yes	complemented
790	#125	C₂⁵	1	512	yes	complemented
791	#125	C₂⁵	1	512	yes	complemented
792	#125	C₂⁵	1	1024	yes	complemented
793	#125	C₂⁵	1	1024	yes	complemented
794	#125	C₂⁵	1	512	yes	complemented
795	#124	C₂⁵	1	512	yes	—
796	#124	C₂⁵	1	512	yes	—
797	#124	C₂⁵	1	1024	yes	—
798	#124	C₂⁵	1	512	yes	—
799	#124	C₂⁵	1	1024	yes	complemented
800	#123	C₂⁵	1	1024	yes	—
801	#123	C₂⁵	1	512	yes	—
802	#123	C₂⁵	1	1024	yes	—
803	#123	C₂⁵	1	1024	yes	—
804	#123	C₂⁵	1	1024	yes	complemented
805	#123	C₂⁵	1	1024	yes	complemented
806	#123	C₂⁵	1	512	yes	complemented
807	#123	C₂⁵	1	1024	yes	complemented
808	#123	C₂⁵	1	1024	yes	complemented
809	#123	C₂⁵	1	1024	yes	complemented
810	C₂²⋊Q₈	C₂⁵	1	512	yes	—
811	C₂²⋊Q₈	C₂⁵	1	512	yes	—
812	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
813	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
814	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
815	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
816	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
817	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
818	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
819	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
820	#121	C₂⁵	1	512	yes	—
821	#121	C₂⁵	1	512	yes	—
822	#121	C₂⁵	1	1024	yes	—
823	#121	C₂⁵	1	1024	yes	—
824	#121	C₂⁵	1	512	yes	—
825	#121	C₂⁵	1	1024	yes	complemented
826	#121	C₂⁵	1	1024	yes	complemented
827	#120	C₂⁵	1	1024	yes	—
828	#120	C₂⁵	1	1024	yes	—
829	C₄×Q₈	C₂⁵	1	512	yes	complemented
830	C₄×Q₈	C₂⁵	1	512	yes	complemented
831	C₄×Q₈	C₂⁵	1	512	yes	complemented
832	C₄×Q₈	C₂⁵	1	512	yes	complemented
833	C₄×Q₈	C₂⁵	1	1024	yes	complemented
834	C₄×Q₈	C₂⁵	1	512	yes	complemented
835	C₄×D₄	C₂⁵	1	512	yes	—
836	C₄×D₄	C₂⁵	1	512	yes	—
837	C₄×D₄	C₂⁵	1	1024	yes	—
838	C₄×D₄	C₂⁵	1	512	yes	—
839	C₄×D₄	C₂⁵	1	512	yes	—
840	C₄×D₄	C₂⁵	1	1024	yes	—
841	C₄×D₄	C₂⁵	1	512	yes	—
842	C₄×D₄	C₂⁵	1	512	yes	—
843	C₄×D₄	C₂⁵	1	512	yes	—
844	C₄×D₄	C₂⁵	1	512	yes	—
845	C₄×D₄	C₂⁵	1	1024	yes	complemented
846	C₄×D₄	C₂⁵	1	1024	yes	complemented
847	C₄×D₄	C₂⁵	1	1024	yes	complemented
848	C₄×D₄	C₂⁵	1	1024	yes	complemented
849	C₄×D₄	C₂⁵	1	512	yes	complemented
850	C₄×D₄	C₂⁵	1	1024	yes	complemented
851	C₄×D₄	C₂⁵	1	1024	yes	complemented
852	#117	C₂⁵	1	512	yes	—
853	#117	C₂⁵	1	512	yes	—
854	#117	C₂⁵	1	1024	yes	complemented
855	#117	C₂⁵	1	512	yes	complemented
856	#117	C₂⁵	1	512	yes	complemented
857	#117	C₂⁵	1	1024	yes	complemented
858	#117	C₂⁵	1	1024	yes	complemented
859	#117	C₂⁵	1	1024	yes	complemented
860	#117	C₂⁵	1	1024	yes	complemented
861	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
862	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
863	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
864	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
865	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
866	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
867	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
868	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
869	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
870	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
871	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
872	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
873	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
874	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
875	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
876	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
877	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
878	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
879	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
880	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
881	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
882	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
883	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
884	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
885	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
886	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
887	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
888	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
889	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
890	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
891	C₂×C₄⋊C₄	C₂⁵	1	1024	yes	complemented
892	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
893	C₂×C₄⋊C₄	C₂⁵	1	1024	yes	complemented
894	C₂×C₄⋊C₄	C₂⁵	1	1024	yes	complemented
895	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
896	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
897	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
898	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
899	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
900	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
901	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
902	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
903	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
904	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
905	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
906	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
907	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
908	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
909	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
910	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
911	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
912	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
913	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
914	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
915	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
916	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
917	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
918	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
919	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
920	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
921	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
922	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
923	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
924	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
925	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
926	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
927	C₂×C₄²	C₂⁵	1	112	yes	—
928	C₂×C₄²	C₂⁵	1	224	yes	—
929	C₂×C₄²	C₂⁵	1	112	yes	—
930	C₂×C₄²	C₂⁵	1	112	yes	—
931	C₂×C₄²	C₂⁵	1	224	yes	—
932	C₂×C₄²	C₂⁵	1	224	yes	—
933	C₂×C₄²	C₂⁵	1	224	yes	—
934	C₂×C₄²	C₂⁵	1	224	yes	—
935	C₂×C₄²	C₂⁵	1	112	yes	—
936	C₂×C₄²	C₂⁵	1	112	yes	—
937	C₂×C₄²	C₂⁵	1	224	yes	—
938	C₂×C₄²	C₂⁵	1	112	yes	—
939	C₂×C₄²	C₂⁵	1	1024	yes	complemented
940	C₂×C₄²	C₂⁵	1	512	yes	complemented
941	C₂⁴	—	2	112	no	—
942	C₂⁴	—	2	112	no	—
943	C₂⁴	—	2	256	no	—
944	C₂⁴	—	2	56	no	—
945	C₂⁴	—	2	56	no	—
946	C₂⁴	—	2	56	no	—
947	C₂⁴	—	2	112	no	—
948	C₂⁴	—	2	56	no	—
949	C₂⁴	—	2	56	no	—
950	C₂⁴	—	2	56	no	—
951	C₂⁴	—	2	112	no	—
952	C₂⁴	—	2	112	no	—
953	C₂⁴	—	2	56	no	—
954	C₂⁴	—	2	56	no	—
955	C₂⁴	—	2	56	no	—
956	C₂⁴	—	2	896	no	—
957	C₂⁴	—	4	448	no	—
958	C₂⁴	—	4	448	no	—
959	C₂⁴	—	4	64	no	—
960	C₂⁴	—	4	64	no	—
961	C₂⁴	—	4	128	no	—
962	C₂⁴	—	4	64	no	—
963	C₂⁴	—	8	1792	no	—
964	C₂⁴	C₂²×#41	1	224	yes	—
965	C₂⁴	C₂²×#41	1	8	yes	—
966	C₂⁴	#585	1	8	yes	—
967	C₂⁴	#585	1	8	yes	—
968	C₂⁴	C₂⁶	1	28	yes	—
969	C₂⁴	C₂⁶	1	56	yes	—
970	C₂⁴	C₂⁶	1	28	yes	—
971	C₂⁴	C₂⁶	1	28	yes	—
972	C₂⁴	C₂⁶	1	56	yes	—
973	C₂⁴	C₂⁶	1	128	yes	—
974	C₂⁴	C₂⁶	1	7	yes	—
975	#41	—	2	2048	no	—
976	#41	—	2	2048	no	—
977	C₂×Q₈	—	2	448	no	—
978	C₂×Q₈	—	2	448	no	—
979	C₂×Q₈	—	4	224	no	—
980	C₂×Q₈	—	4	448	no	—
981	C₂×Q₈	C₂⁶	1	64	yes	—
982	C₂×Q₈	C₂⁶	1	64	yes	—
983	C₂×Q₈	C₂⁶	1	64	yes	—
984	C₂×Q₈	C₂⁶	1	128	yes	—
985	C₂×D₄	—	2	896	no	—
986	C₂×D₄	—	2	896	no	—
987	C₂×D₄	—	2	896	no	—
988	C₂×D₄	—	2	2048	no	—
989	C₂×D₄	—	2	448	no	—
990	C₂×D₄	—	4	448	no	—
991	C₂×D₄	—	4	224	no	—
992	C₂×D₄	—	4	224	no	—
993	C₂×D₄	—	4	448	no	—
994	C₂×D₄	—	4	224	no	—
995	C₂×D₄	C₂²×#41	1	896	yes	—
996	C₂×D₄	C₂⁶	1	128	yes	—
997	C₂×D₄	C₂⁶	1	64	yes	—
998	C₂×D₄	C₂⁶	1	128	yes	—
999	C₂×D₄	C₂⁶	1	128	yes	—
1000	C₂×D₄	C₂⁶	1	64	yes	—
1001	C₂×D₄	C₂⁶	1	64	yes	—
1002	C₂×D₄	C₂⁶	1	128	yes	—
1003	C₂×D₄	C₂⁶	1	128	yes	—
1004	C₂×D₄	C₂⁶	1	64	yes	—
1005	C₂×D₄	C₂⁶	1	64	yes	—
1006	C₂²×C₄	—	2	56	no	—
1007	C₂²×C₄	—	2	56	no	—
1008	C₂²×C₄	—	2	56	no	—
1009	C₂²×C₄	—	2	112	no	—
1010	C₂²×C₄	—	2	112	no	—
1011	C₂²×C₄	—	2	896	no	—
1012	C₂²×C₄	—	2	896	no	—
1013	C₂²×C₄	—	2	56	no	—
1014	C₂²×C₄	—	2	112	no	—
1015	C₂²×C₄	—	2	56	no	—
1016	C₂²×C₄	—	2	56	no	—
1017	C₂²×C₄	—	2	112	no	—
1018	C₂²×C₄	—	2	56	no	—
1019	C₂²×C₄	—	2	56	no	—
1020	C₂²×C₄	—	2	56	no	—
1021	C₂²×C₄	—	2	112	no	—
1022	C₂²×C₄	—	2	56	no	—
1023	C₂²×C₄	—	2	112	no	—
1024	C₂²×C₄	—	2	56	no	—
1025	C₂²×C₄	—	2	448	no	—
1026	C₂²×C₄	—	2	448	no	—
1027	C₂²×C₄	—	2	448	no	—
1028	C₂²×C₄	—	4	448	no	—
1029	C₂²×C₄	—	4	224	no	—
1030	C₂²×C₄	—	4	448	no	—
1031	C₂²×C₄	—	4	448	no	—
1032	C₂²×C₄	—	4	448	no	—
1033	C₂²×C₄	—	4	448	no	—
1034	C₂²×C₄	—	4	224	no	—
1035	C₂²×C₄	—	4	448	no	—
1036	C₂²×C₄	—	4	448	no	—
1037	C₂²×C₄	C₂²×#41	1	112	yes	—
1038	C₂²×C₄	C₂⁶	1	28	yes	—
1039	C₂²×C₄	C₂⁶	1	28	yes	—
1040	C₂²×C₄	C₂⁶	1	28	yes	—
1041	C₂²×C₄	C₂⁶	1	56	yes	—
1042	C₂²×C₄	C₂⁶	1	28	yes	—
1043	C₂²×C₄	C₂⁶	1	28	yes	—
1044	C₂²×C₄	C₂⁶	1	56	yes	—
1045	C₂²×C₄	C₂⁶	1	56	yes	—
1046	C₂²×C₄	C₂⁶	1	28	yes	—
1047	C₂²×C₄	C₂⁶	1	56	yes	—
1048	C₂²×C₄	C₂⁶	1	28	yes	—
1049	C₂²×C₄	C₂⁶	1	56	yes	—
1050	C₂²×C₄	C₂⁶	1	28	yes	—
1051	C₂²×C₄	C₂⁶	1	28	yes	—
1052	C₂²×C₄	C₂⁶	1	28	yes	—
1053	C₂²×C₄	C₂⁶	1	56	yes	—
1054	C₂²×C₄	C₂⁶	1	128	yes	—
1055	C₂²×C₄	C₂⁶	1	64	yes	—
1056	C₂²×C₄	C₂⁶	1	28	yes	—
1057	C₂²×C₄	C₂⁶	1	128	yes	—
1058	C₂²×C₄	C₂⁶	1	64	yes	—
1059	C₂²×C₄	C₂⁶	1	64	yes	—
1060	C₂²×C₄	C₂⁶	1	128	yes	—
1061	C₂²×C₄	C₂⁶	1	128	yes	—
1062	C₂²×C₄	C₂⁶	1	64	yes	—
1063	C₂²×C₄	C₂⁶	1	64	yes	—
1064	C₂²×C₄	C₂⁶	1	128	yes	—
1065	C₂²×C₄	C₂⁶	1	128	yes	—
1066	C₂²×C₄	C₂⁶	1	128	yes	—
1067	C₂²×C₄	C₂⁶	1	128	yes	—
1068	C₂²×C₄	C₂⁶	1	128	yes	—
1069	C₂²×C₄	C₂⁶	1	28	yes	—
1070	C₄⋊C₄	C₂⁶	1	64	yes	—
1071	C₄⋊C₄	C₂⁶	1	128	yes	—
1072	C₄⋊C₄	C₂⁶	1	64	yes	—
1073	C₄⋊C₄	C₂⁶	1	64	yes	—
1074	C₄⋊C₄	C₂⁶	1	64	yes	—
1075	C₄⋊C₄	C₂⁶	1	128	yes	—
1076	C₄⋊C₄	C₂⁶	1	128	yes	—
1077	C₄⋊C₄	C₂⁶	1	64	yes	—
1078	C₄⋊C₄	C₂⁶	1	128	yes	—
1079	C₄⋊C₄	C₂⁶	1	128	yes	—
1080	C₄⋊C₄	C₂⁶	1	128	yes	—
1081	C₄⋊C₄	C₂⁶	1	128	yes	—
1082	C₄⋊C₄	C₂⁶	1	128	yes	—
1083	C₄⋊C₄	C₂⁶	1	128	yes	—
1084	C₄⋊C₄	C₂⁶	1	64	yes	—
1085	C₄⋊C₄	C₂⁶	1	64	yes	—
1086	C₄⋊C₄	C₂⁶	1	64	yes	—
1087	C₄⋊C₄	C₂⁶	1	64	yes	—
1088	C₄⋊C₄	C₂⁶	1	64	yes	—
1089	C₄⋊C₄	C₂⁶	1	64	yes	—
1090	C₄⋊C₄	C₂⁶	1	128	yes	—
1091	C₄⋊C₄	C₂⁶	1	128	yes	—
1092	C₄⋊C₄	C₂⁶	1	128	yes	—
1093	C₄⋊C₄	C₂⁶	1	128	yes	—
1094	C₄⋊C₄	C₂⁶	1	128	yes	—
1095	C₄⋊C₄	C₂⁶	1	64	yes	—
1096	C₄⋊C₄	C₂⁶	1	64	yes	—
1097	C₄⋊C₄	C₂⁶	1	128	yes	—
1098	C₄⋊C₄	C₂⁶	1	128	yes	—
1099	C₄⋊C₄	C₂⁶	1	64	yes	—
1100	C₂²⋊C₄	C₂⁶	1	64	yes	—
1101	C₂²⋊C₄	C₂⁶	1	128	yes	—
1102	C₂²⋊C₄	C₂⁶	1	64	yes	—
1103	C₂²⋊C₄	C₂⁶	1	64	yes	—
1104	C₂²⋊C₄	C₂⁶	1	64	yes	—
1105	C₂²⋊C₄	C₂⁶	1	128	yes	—
1106	C₂²⋊C₄	C₂⁶	1	128	yes	—
1107	C₂²⋊C₄	C₂⁶	1	128	yes	—
1108	C₂²⋊C₄	C₂⁶	1	128	yes	—
1109	C₂²⋊C₄	C₂⁶	1	128	yes	—
1110	C₂²⋊C₄	C₂⁶	1	128	yes	—
1111	C₂²⋊C₄	C₂⁶	1	128	yes	—
1112	C₂²⋊C₄	C₂⁶	1	128	yes	—
1113	C₂²⋊C₄	C₂⁶	1	128	yes	—
1114	C₂²⋊C₄	C₂⁶	1	128	yes	—
1115	C₂²⋊C₄	C₂⁶	1	64	yes	—
1116	C₂²⋊C₄	C₂⁶	1	128	yes	—
1117	C₂²⋊C₄	C₂⁶	1	128	yes	—
1118	C₂²⋊C₄	C₂⁶	1	64	yes	—
1119	C₂²⋊C₄	C₂⁶	1	128	yes	—
1120	C₂²⋊C₄	C₂⁶	1	64	yes	—
1121	C₂²⋊C₄	C₂⁶	1	128	yes	—
1122	C₂²⋊C₄	C₂⁶	1	128	yes	—
1123	C₂²⋊C₄	C₂⁶	1	128	yes	—
1124	C₂²⋊C₄	C₂⁶	1	64	yes	—
1125	C₂²⋊C₄	C₂⁶	1	64	yes	—
1126	C₂²⋊C₄	C₂⁶	1	128	yes	—
1127	C₂²⋊C₄	C₂⁶	1	64	yes	—
1128	C₄²	C₂⁶	1	64	yes	—
1129	C₄²	C₂⁶	1	64	yes	—
1130	C₄²	C₂⁶	1	64	yes	—
1131	C₄²	C₂⁶	1	128	yes	—
1132	C₄²	C₂⁶	1	128	yes	—
1133	C₄²	C₂⁶	1	64	yes	—
1134	C₄²	C₂⁶	1	128	yes	—
1135	C₄²	C₂⁶	1	128	yes	—
1136	C₄²	C₂⁶	1	64	yes	—
1137	C₄²	C₂⁶	1	128	yes	—
1138	C₄²	C₂⁶	1	128	yes	—
1139	C₄²	C₂⁶	1	64	yes	—
1140	C₂³	—	2	896	no	—
1141	C₂³	—	2	112	no	—
1142	C₂³	—	2	112	no	—
1143	C₂³	—	2	56	no	—
1144	C₂³	—	2	56	no	—
1145	C₂³	—	2	56	no	—
1146	C₂³	—	2	112	no	—
1147	C₂³	—	2	56	no	—
1148	C₂³	—	2	56	no	—
1149	C₂³	—	2	56	no	—
1150	C₂³	—	2	112	no	—
1151	C₂³	—	2	112	no	—
1152	C₂³	—	2	56	no	—
1153	C₂³	—	2	56	no	—
1154	C₂³	—	2	56	no	—
1155	C₂³	—	2	256	no	—
1156	C₂³	—	4	128	no	—
1157	C₂³	—	4	128	no	—
1158	C₂³	—	4	224	no	—
1159	C₂³	—	4	224	no	—
1160	C₂³	—	4	448	no	—
1161	C₂³	—	4	224	no	—
1162	C₂³	—	8	1792	no	—
1163	C₂³	#3521	1	64	yes	direct product factor
1164	C₂³	C₂³×#41	1	224	yes	—
1165	C₂³	C₂³×#41	1	28	yes	—
1166	C₂³	C₂×#585	1	28	yes	—
1167	C₂³	C₂×#585	1	28	yes	—
1168	C₂³	C₂⁷	1	8	yes	—
1169	C₂³	C₂⁷	1	16	yes	—
1170	C₂³	C₂⁷	1	8	yes	—
1171	C₂³	C₂⁷	1	8	yes	—
1172	C₂³	C₂⁷	1	16	yes	—
1173	C₂³	C₂⁷	1	7	yes	—
1174	Q₈	—	2	128	no	—
1175	Q₈	—	2	128	no	—
1176	Q₈	—	4	64	no	—
1177	Q₈	—	4	128	no	—
1178	D₄	—	2	256	no	—
1179	D₄	—	2	256	no	—
1180	D₄	—	2	256	no	—
1181	D₄	—	2	128	no	—
1182	D₄	—	4	128	no	—
1183	D₄	—	4	64	no	—
1184	D₄	—	4	64	no	—
1185	D₄	—	4	128	no	—
1186	D₄	—	4	64	no	—
1187	D₄	C₂³×#41	1	256	yes	—
1188	C₂×C₄	—	2	56	no	—
1189	C₂×C₄	—	2	56	no	—
1190	C₂×C₄	—	2	56	no	—
1191	C₂×C₄	—	2	112	no	—
1192	C₂×C₄	—	2	112	no	—
1193	C₂×C₄	—	2	256	no	—
1194	C₂×C₄	—	2	256	no	—
1195	C₂×C₄	—	2	56	no	—
1196	C₂×C₄	—	2	112	no	—
1197	C₂×C₄	—	2	56	no	—
1198	C₂×C₄	—	2	56	no	—
1199	C₂×C₄	—	2	112	no	—
1200	C₂×C₄	—	2	56	no	—
1201	C₂×C₄	—	2	56	no	—
1202	C₂×C₄	—	2	56	no	—
1203	C₂×C₄	—	2	112	no	—
1204	C₂×C₄	—	2	56	no	—
1205	C₂×C₄	—	2	112	no	—
1206	C₂×C₄	—	2	56	no	—
1207	C₂×C₄	—	2	128	no	—
1208	C₂×C₄	—	2	128	no	—
1209	C₂×C₄	—	2	128	no	—
1210	C₂×C₄	—	4	128	no	—
1211	C₂×C₄	—	4	64	no	—
1212	C₂×C₄	—	4	128	no	—
1213	C₂×C₄	—	4	128	no	—
1214	C₂×C₄	—	4	128	no	—
1215	C₂×C₄	—	4	128	no	—
1216	C₂×C₄	—	4	64	no	—
1217	C₂×C₄	—	4	128	no	—
1218	C₂×C₄	—	4	128	no	—
1219	C₂×C₄	C₂³×#41	1	112	yes	—
1220	C₂×C₄	C₂⁷	1	8	yes	—
1221	C₂×C₄	C₂⁷	1	8	yes	—
1222	C₂×C₄	C₂⁷	1	8	yes	—
1223	C₂×C₄	C₂⁷	1	8	yes	—
1224	C₂×C₄	C₂⁷	1	16	yes	—
1225	C₂×C₄	C₂⁷	1	8	yes	—
1226	C₂×C₄	C₂⁷	1	16	yes	—
1227	C₂×C₄	C₂⁷	1	16	yes	—
1228	C₂×C₄	C₂⁷	1	8	yes	—
1229	C₂×C₄	C₂⁷	1	16	yes	—
1230	C₂×C₄	C₂⁷	1	8	yes	—
1231	C₂×C₄	C₂⁷	1	16	yes	—
1232	C₂×C₄	C₂⁷	1	8	yes	—
1233	C₂×C₄	C₂⁷	1	8	yes	—
1234	C₂×C₄	C₂⁷	1	8	yes	—
1235	C₂×C₄	C₂⁷	1	16	yes	—
1236	C₂×C₄	C₂⁷	1	8	yes	—
1237	C₂×C₄	C₂⁷	1	8	yes	—
1238	C₂²	—	2	448	no	—
1239	C₂²	—	2	16	no	—
1240	C₂²	—	2	16	no	—
1241	C₂²	—	2	8	no	—
1242	C₂²	—	2	8	no	—
1243	C₂²	—	2	8	no	—
1244	C₂²	—	2	16	no	—
1245	C₂²	—	2	8	no	—
1246	C₂²	—	2	8	no	—
1247	C₂²	—	2	8	no	—
1248	C₂²	—	2	16	no	—
1249	C₂²	—	2	16	no	—
1250	C₂²	—	2	8	no	—
1251	C₂²	—	2	8	no	—
1252	C₂²	—	2	8	no	—
1253	C₂²	—	4	112	no	—
1254	C₂²	—	4	112	no	—
1255	C₂²	—	4	224	no	—
1256	C₂²	—	4	112	no	—
1257	C₂²	—	8	256	no	—
1258	C₂²	C₂×#3521	1	112	yes	direct product factor
1259	C₂²	C₂⁴×#41	1	32	yes	—
1260	C₂²	C₂⁴×#41	1	14	yes	—
1261	C₂²	C₂²×#585	1	14	yes	—
1262	C₂²	C₂²×#585	1	14	yes	—
1263	C₂²	C₂⁸	1	1	yes	characteristic
1264	C₄	—	2	8	no	—
1265	C₄	—	2	8	no	—
1266	C₄	—	2	8	no	—
1267	C₄	—	2	16	no	—
1268	C₄	—	2	16	no	—
1269	C₄	—	2	8	no	—
1270	C₄	—	2	16	no	—
1271	C₄	—	2	8	no	—
1272	C₄	—	2	8	no	—
1273	C₄	—	2	16	no	—
1274	C₄	—	2	8	no	—
1275	C₄	—	2	8	no	—
1276	C₄	—	2	8	no	—
1277	C₄	—	2	16	no	—
1278	C₄	—	2	8	no	—
1279	C₄	—	2	16	no	—
1280	C₄	—	2	8	no	—
1281	C₄	C₂⁴×#41	1	16	yes	—
1282	C₂	—	2	32	no	—
1283	C₂	—	4	8	no	—
1284	C₂	—	4	8	no	—
1285	C₂	—	4	16	no	—
1286	C₂	—	4	8	no	—
1287	C₂	C₂²×#3521	1	28	yes	direct product factor
1288	C₂	C₂⁵×#41	1	1	yes	characteristic
1289	C₂	C₂³×#585	1	1	yes	characteristic
1290	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×#3521	C₂	direct (N × H)
2. C₂³×#556	C₂	semidirect
3. C₂³×#556	C₂	semidirect
4. C₂³×#553	C₂	semidirect
5. C₂³×#553	C₂	semidirect
6. C₂³×#552	C₂	semidirect
7. C₂³×#552	C₂	semidirect
8. C₂³×#551	C₂	semidirect
9. C₂³×#551	C₂	semidirect
10. C₂³×#554	C₂	semidirect
11. C₂³×#547	C₂	semidirect
12. C₂³×#546	C₂	semidirect
13. C₂³×#546	C₂	semidirect
14. C₂³×#541	C₂	semidirect
15. C₂³×#542	C₂	semidirect
16. C₂³×#539	C₂	semidirect
17. C₂³×#538	C₂	semidirect
18. C₂³×#529	C₂	semidirect
19. C₂³×#529	C₂	semidirect
20. C₂³×#529	C₂	semidirect
21. C₂⁴×#126	C₂	semidirect
22. C₂³×#520	C₂	semidirect
23. C₂³×#518	C₂	semidirect
24. C₂³×C₄×#41	C₂	semidirect
28. C₂×#3521	C₂²	direct (N × H)
29. C₂²×#556	C₂²	semidirect
30. C₂²×#556	C₂²	semidirect
31. C₂²×#553	C₂²	semidirect
32. C₂²×#553	C₂²	semidirect
33. C₂²×#552	C₂²	semidirect
34. C₂²×#552	C₂²	semidirect
35. C₂²×#551	C₂²	semidirect
36. C₂²×#551	C₂²	semidirect
37. C₂²×#554	C₂²	semidirect
38. C₂²×#547	C₂²	semidirect
39. C₂²×#546	C₂²	semidirect
40. C₂²×#546	C₂²	semidirect
41. C₂²×#541	C₂²	semidirect
42. C₂²×#542	C₂²	semidirect
43. C₂²×#539	C₂²	semidirect
44. C₂²×#538	C₂²	semidirect
45. C₂³×C₄⋊Q₈	C₂²	semidirect
46. C₂³×C₄⋊Q₈	C₂²	semidirect
47. C₂²×#529	C₂²	semidirect
48. C₂²×#529	C₂²	semidirect
49. C₂²×#529	C₂²	semidirect
55. C₂³×#126	C₂²	semidirect
56. C₂³×#126	C₂²	semidirect
57. C₂³×#126	C₂²	semidirect
58. C₂³×#126	C₂²	semidirect
59. C₂³×#126	C₂²	semidirect
60. C₂³×#126	C₂²	semidirect
61. C₂³×#126	C₂²	semidirect
62. C₂³×#126	C₂²	semidirect
63. C₂³×#125	C₂²	semidirect
64. C₂³×#125	C₂²	semidirect
65. C₂³×#125	C₂²	semidirect
66. C₂³×#125	C₂²	semidirect
67. C₂³×#125	C₂²	semidirect
68. C₂³×#125	C₂²	semidirect
73. C₂³×#124	C₂²	semidirect
78. C₂³×#123	C₂²	semidirect
79. C₂³×#123	C₂²	semidirect
80. C₂³×#123	C₂²	semidirect
81. C₂³×#123	C₂²	semidirect
82. C₂³×#123	C₂²	semidirect
83. C₂³×#123	C₂²	semidirect
86. C₂³×C₂²⋊Q₈	C₂²	semidirect
87. C₂³×C₂²⋊Q₈	C₂²	semidirect
88. C₂³×C₂²⋊Q₈	C₂²	semidirect
89. C₂³×C₂²⋊Q₈	C₂²	semidirect
90. C₂³×C₂²⋊Q₈	C₂²	semidirect
91. C₂³×C₂²⋊Q₈	C₂²	semidirect
92. C₂³×C₂²⋊Q₈	C₂²	semidirect
93. C₂³×C₂²⋊Q₈	C₂²	semidirect
99. C₂³×#121	C₂²	semidirect
100. C₂³×#121	C₂²	semidirect
103. C₂²×#520	C₂²	semidirect
104. C₂²×#518	C₂²	semidirect
105. C₂²×C₄×#41	C₂²	semidirect
106. C₂³×C₄×Q₈	C₂²	semidirect
107. C₂³×C₄×Q₈	C₂²	semidirect
108. C₂³×C₄×Q₈	C₂²	semidirect
109. C₂³×C₄×Q₈	C₂²	semidirect
110. C₂³×C₄×Q₈	C₂²	semidirect
111. C₂³×C₄×Q₈	C₂²	semidirect
122. C₂³×C₄×D₄	C₂²	semidirect
123. C₂³×C₄×D₄	C₂²	semidirect
124. C₂³×C₄×D₄	C₂²	semidirect
125. C₂³×C₄×D₄	C₂²	semidirect
126. C₂³×C₄×D₄	C₂²	semidirect
127. C₂³×C₄×D₄	C₂²	semidirect
128. C₂³×C₄×D₄	C₂²	semidirect
131. C₂³×#117	C₂²	semidirect
132. C₂³×#117	C₂²	semidirect
133. C₂³×#117	C₂²	semidirect
134. C₂³×#117	C₂²	semidirect
135. C₂³×#117	C₂²	semidirect
136. C₂³×#117	C₂²	semidirect
137. C₂³×#117	C₂²	semidirect
138. C₂⁴×C₄⋊C₄	C₂²	semidirect
139. C₂⁴×C₄⋊C₄	C₂²	semidirect
140. C₂⁴×C₄⋊C₄	C₂²	semidirect
141. C₂⁴×C₄⋊C₄	C₂²	semidirect
146. C₂⁴×C₄²	C₂²	semidirect
147. C₂⁴×C₄²	C₂²	semidirect
183. #3521	C₂³	direct (N × H)
184. C₂×#556	C₂³	semidirect
185. C₂×#556	C₂³	semidirect
186. C₂×#554	C₂³	semidirect
187. C₂×#553	C₂³	semidirect
188. C₂×#553	C₂³	semidirect
189. C₂×#552	C₂³	semidirect
190. C₂×#552	C₂³	semidirect
191. C₂×#551	C₂³	semidirect
192. C₂×#551	C₂³	semidirect
193. C₂×#547	C₂³	semidirect
194. C₂×#546	C₂³	semidirect
195. C₂×#546	C₂³	semidirect
196. C₂×#542	C₂³	semidirect
197. C₂×#541	C₂³	semidirect
198. C₂×#539	C₂³	semidirect
199. C₂×#538	C₂³	semidirect
200. C₂²×C₄⋊Q₈	C₂³	semidirect
201. C₂²×C₄⋊Q₈	C₂³	semidirect
202. C₂×#529	C₂³	semidirect
203. C₂×#529	C₂³	semidirect
204. C₂×#529	C₂³	semidirect
210. C₂²×#126	C₂³	semidirect
211. C₂²×#126	C₂³	semidirect
212. C₂²×#126	C₂³	semidirect
213. C₂²×#126	C₂³	semidirect
214. C₂²×#126	C₂³	semidirect
215. C₂²×#126	C₂³	semidirect
216. C₂²×#126	C₂³	semidirect
217. C₂²×#126	C₂³	semidirect
218. C₂²×#125	C₂³	semidirect
219. C₂²×#125	C₂³	semidirect
220. C₂²×#125	C₂³	semidirect
221. C₂²×#125	C₂³	semidirect
222. C₂²×#125	C₂³	semidirect
223. C₂²×#125	C₂³	semidirect
228. C₂²×#124	C₂³	semidirect
233. C₂²×#123	C₂³	semidirect
234. C₂²×#123	C₂³	semidirect
235. C₂²×#123	C₂³	semidirect
236. C₂²×#123	C₂³	semidirect
237. C₂²×#123	C₂³	semidirect
238. C₂²×#123	C₂³	semidirect
241. C₂²×C₂²⋊Q₈	C₂³	semidirect
242. C₂²×C₂²⋊Q₈	C₂³	semidirect
243. C₂²×C₂²⋊Q₈	C₂³	semidirect
244. C₂²×C₂²⋊Q₈	C₂³	semidirect
245. C₂²×C₂²⋊Q₈	C₂³	semidirect
246. C₂²×C₂²⋊Q₈	C₂³	semidirect
247. C₂²×C₂²⋊Q₈	C₂³	semidirect
248. C₂²×C₂²⋊Q₈	C₂³	semidirect
254. C₂²×#121	C₂³	semidirect
255. C₂²×#121	C₂³	semidirect
258. C₂×#520	C₂³	semidirect
259. C₂×#518	C₂³	semidirect
260. C₂×C₄×#41	C₂³	semidirect
261. C₂²×C₄×Q₈	C₂³	semidirect
262. C₂²×C₄×Q₈	C₂³	semidirect
263. C₂²×C₄×Q₈	C₂³	semidirect
264. C₂²×C₄×Q₈	C₂³	semidirect
265. C₂²×C₄×Q₈	C₂³	semidirect
266. C₂²×C₄×Q₈	C₂³	semidirect
277. C₂²×C₄×D₄	C₂³	semidirect
278. C₂²×C₄×D₄	C₂³	semidirect
279. C₂²×C₄×D₄	C₂³	semidirect
280. C₂²×C₄×D₄	C₂³	semidirect
281. C₂²×C₄×D₄	C₂³	semidirect
282. C₂²×C₄×D₄	C₂³	semidirect
283. C₂²×C₄×D₄	C₂³	semidirect
286. C₂²×#117	C₂³	semidirect
287. C₂²×#117	C₂³	semidirect
288. C₂²×#117	C₂³	semidirect
289. C₂²×#117	C₂³	semidirect
290. C₂²×#117	C₂³	semidirect
291. C₂²×#117	C₂³	semidirect
292. C₂²×#117	C₂³	semidirect
323. C₂³×C₄⋊C₄	C₂³	semidirect
324. C₂³×C₄⋊C₄	C₂³	semidirect
325. C₂³×C₄⋊C₄	C₂³	semidirect
326. C₂³×C₄⋊C₄	C₂³	semidirect
371. C₂³×C₄²	C₂³	semidirect
372. C₂³×C₄²	C₂³	semidirect
462. #556	C₂⁴	semidirect
463. #556	C₂⁴	semidirect
464. #554	C₂⁴	semidirect
465. #553	C₂⁴	semidirect
466. #553	C₂⁴	semidirect
467. #552	C₂⁴	semidirect
468. #552	C₂⁴	semidirect
469. #551	C₂⁴	semidirect
470. #551	C₂⁴	semidirect
471. #547	C₂⁴	semidirect
472. #546	C₂⁴	semidirect
473. #546	C₂⁴	semidirect
474. #542	C₂⁴	semidirect
475. #541	C₂⁴	semidirect
476. #539	C₂⁴	semidirect
477. #538	C₂⁴	semidirect
478. C₂×C₄⋊Q₈	C₂⁴	semidirect
479. C₂×C₄⋊Q₈	C₂⁴	semidirect
480. #529	C₂⁴	semidirect
481. #529	C₂⁴	semidirect
482. #529	C₂⁴	semidirect
488. C₂×#126	C₂⁴	semidirect
489. C₂×#126	C₂⁴	semidirect
490. C₂×#126	C₂⁴	semidirect
491. C₂×#126	C₂⁴	semidirect
492. C₂×#126	C₂⁴	semidirect
493. C₂×#126	C₂⁴	semidirect
494. C₂×#126	C₂⁴	semidirect
495. C₂×#126	C₂⁴	semidirect
496. C₂×#125	C₂⁴	semidirect
497. C₂×#125	C₂⁴	semidirect
498. C₂×#125	C₂⁴	semidirect
499. C₂×#125	C₂⁴	semidirect
500. C₂×#125	C₂⁴	semidirect
501. C₂×#125	C₂⁴	semidirect
506. C₂×#124	C₂⁴	semidirect
511. C₂×#123	C₂⁴	semidirect
512. C₂×#123	C₂⁴	semidirect
513. C₂×#123	C₂⁴	semidirect
514. C₂×#123	C₂⁴	semidirect
515. C₂×#123	C₂⁴	semidirect
516. C₂×#123	C₂⁴	semidirect
519. C₂×C₂²⋊Q₈	C₂⁴	semidirect
520. C₂×C₂²⋊Q₈	C₂⁴	semidirect
521. C₂×C₂²⋊Q₈	C₂⁴	semidirect
522. C₂×C₂²⋊Q₈	C₂⁴	semidirect
523. C₂×C₂²⋊Q₈	C₂⁴	semidirect
524. C₂×C₂²⋊Q₈	C₂⁴	semidirect
525. C₂×C₂²⋊Q₈	C₂⁴	semidirect
526. C₂×C₂²⋊Q₈	C₂⁴	semidirect
532. C₂×#121	C₂⁴	semidirect
533. C₂×#121	C₂⁴	semidirect
536. #520	C₂⁴	semidirect
537. #518	C₂⁴	semidirect
538. C₄×#41	C₂⁴	semidirect
539. C₂×C₄×Q₈	C₂⁴	semidirect
540. C₂×C₄×Q₈	C₂⁴	semidirect
541. C₂×C₄×Q₈	C₂⁴	semidirect
542. C₂×C₄×Q₈	C₂⁴	semidirect
543. C₂×C₄×Q₈	C₂⁴	semidirect
544. C₂×C₄×Q₈	C₂⁴	semidirect
555. C₂×C₄×D₄	C₂⁴	semidirect
556. C₂×C₄×D₄	C₂⁴	semidirect
557. C₂×C₄×D₄	C₂⁴	semidirect
558. C₂×C₄×D₄	C₂⁴	semidirect
559. C₂×C₄×D₄	C₂⁴	semidirect
560. C₂×C₄×D₄	C₂⁴	semidirect
561. C₂×C₄×D₄	C₂⁴	semidirect
564. C₂×#117	C₂⁴	semidirect
565. C₂×#117	C₂⁴	semidirect
566. C₂×#117	C₂⁴	semidirect
567. C₂×#117	C₂⁴	semidirect
568. C₂×#117	C₂⁴	semidirect
569. C₂×#117	C₂⁴	semidirect
570. C₂×#117	C₂⁴	semidirect
601. C₂²×C₄⋊C₄	C₂⁴	semidirect
602. C₂²×C₄⋊C₄	C₂⁴	semidirect
603. C₂²×C₄⋊C₄	C₂⁴	semidirect
604. C₂²×C₄⋊C₄	C₂⁴	semidirect
649. C₂²×C₄²	C₂⁴	semidirect
650. C₂²×C₄²	C₂⁴	semidirect
775. C₄⋊Q₈	C₂⁵	semidirect
776. C₄⋊Q₈	C₂⁵	semidirect
782. #126	C₂⁵	semidirect
783. #126	C₂⁵	semidirect
784. #126	C₂⁵	semidirect
785. #126	C₂⁵	semidirect
786. #126	C₂⁵	semidirect
787. #126	C₂⁵	semidirect
788. #126	C₂⁵	semidirect
789. #125	C₂⁵	semidirect
790. #125	C₂⁵	semidirect
791. #125	C₂⁵	semidirect
792. #125	C₂⁵	semidirect
793. #125	C₂⁵	semidirect
794. #125	C₂⁵	semidirect
799. #124	C₂⁵	semidirect
804. #123	C₂⁵	semidirect
805. #123	C₂⁵	semidirect
806. #123	C₂⁵	semidirect
807. #123	C₂⁵	semidirect
808. #123	C₂⁵	semidirect
809. #123	C₂⁵	semidirect
812. C₂²⋊Q₈	C₂⁵	semidirect
813. C₂²⋊Q₈	C₂⁵	semidirect
814. C₂²⋊Q₈	C₂⁵	semidirect
815. C₂²⋊Q₈	C₂⁵	semidirect
816. C₂²⋊Q₈	C₂⁵	semidirect
817. C₂²⋊Q₈	C₂⁵	semidirect
818. C₂²⋊Q₈	C₂⁵	semidirect
819. C₂²⋊Q₈	C₂⁵	semidirect
825. #121	C₂⁵	semidirect
826. #121	C₂⁵	semidirect
829. C₄×Q₈	C₂⁵	semidirect
830. C₄×Q₈	C₂⁵	semidirect
831. C₄×Q₈	C₂⁵	semidirect
832. C₄×Q₈	C₂⁵	semidirect
833. C₄×Q₈	C₂⁵	semidirect
834. C₄×Q₈	C₂⁵	semidirect
845. C₄×D₄	C₂⁵	semidirect
846. C₄×D₄	C₂⁵	semidirect
847. C₄×D₄	C₂⁵	semidirect
848. C₄×D₄	C₂⁵	semidirect
849. C₄×D₄	C₂⁵	semidirect
850. C₄×D₄	C₂⁵	semidirect
851. C₄×D₄	C₂⁵	semidirect
854. #117	C₂⁵	semidirect
855. #117	C₂⁵	semidirect
856. #117	C₂⁵	semidirect
857. #117	C₂⁵	semidirect
858. #117	C₂⁵	semidirect
859. #117	C₂⁵	semidirect
860. #117	C₂⁵	semidirect
891. C₂×C₄⋊C₄	C₂⁵	semidirect
892. C₂×C₄⋊C₄	C₂⁵	semidirect
893. C₂×C₄⋊C₄	C₂⁵	semidirect
894. C₂×C₄⋊C₄	C₂⁵	semidirect
939. C₂×C₄²	C₂⁵	semidirect
940. C₂×C₄²	C₂⁵	semidirect
1163. C₂³	#3521	direct (N × H)
1258. C₂²	C₂×#3521	direct (N × H)
1287. C₂	C₂²×#3521	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×#3521	2
C₂³×#556	2
C₂³×#553	2
C₂³×#552	2
C₂³×#551	2
C₂³×#554	2
C₂³×#547	2
C₂³×#546	2
C₂³×#541	2
C₂³×#542	2
C₂³×#539	2
C₂³×#538	2
C₂³×#529	2
C₂⁴×#126	2
C₂³×#520	2
C₂³×#518	2
C₂³×C₄×#41	2

Subgroups — C23×#3521 #72324982

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂³×#3521 #72324982