Subgroups — C₂³×#3562 #72325000

Order 1024.

480781 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#3562	C₂	1	224	yes	maximal, direct product factor
2	C₂³×#562	C₂	1	2	yes	maximal, complemented
3	C₂³×#560	C₂	1	2	yes	maximal, complemented
4	C₂³×#559	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂³×#556	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂³×#553	C₂	1	2	yes	maximal, complemented
7	C₂³×#551	C₂	1	2	yes	maximal, complemented
8	C₂³×#550	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×#547	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂³×#548	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂³×#548	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×#536	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×#540	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂³×#540	C₂	1	2	yes	maximal, complemented
18	C₂³×#535	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂³×#539	C₂	1	2	yes	maximal, complemented
20	C₂³×#538	C₂	1	2	yes	maximal, complemented
21	C₂³×#538	C₂	1	2	yes	maximal, complemented
22	C₂³×#532	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂³×#529	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂⁴×#41	C₂²	1	1	yes	characteristic
26	C₂⁴×#41	C₂²	1	1	yes	characteristic
27	C₂⁴×#41	C₂²	1	1	yes	characteristic
28	C₂⁴×#41	C₂²	1	1	yes	characteristic, complemented
29	C₂⁵×Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂⁵×D₄	C₂²	1	1	yes	characteristic
31	C₂×#3562	C₂²	1	7168	yes	direct product factor
32	C₂²×#559	C₂²	1	112	yes	complemented
33	C₂²×#556	C₂²	1	112	yes	complemented
34	C₂²×#553	C₂²	1	224	yes	complemented
35	C₂²×#551	C₂²	1	224	yes	complemented
36	C₂²×#550	C₂²	1	112	yes	complemented
37	C₂²×#547	C₂²	1	112	yes	complemented
38	C₂²×#548	C₂²	1	112	yes	complemented
39	C₂²×#548	C₂²	1	112	yes	complemented
40	C₂²×#546	C₂²	1	112	yes	complemented
41	C₂²×#546	C₂²	1	112	yes	complemented
42	C₂²×#562	C₂²	1	224	yes	complemented
43	C₂²×#560	C₂²	1	224	yes	complemented
44	C₂²×#541	C₂²	1	112	yes	complemented
45	C₂²×#536	C₂²	1	112	yes	complemented
46	C₂²×#540	C₂²	1	112	yes	complemented
47	C₂²×#540	C₂²	1	224	yes	complemented
48	C₂²×#535	C₂²	1	112	yes	complemented
49	C₂²×#539	C₂²	1	224	yes	complemented
50	C₂²×#538	C₂²	1	224	yes	complemented
51	C₂²×#538	C₂²	1	224	yes	complemented
52	C₂²×#532	C₂²	1	112	yes	complemented
53	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂³×#127	C₂²	1	1	yes	characteristic
56	C₂³×#127	C₂²	1	1	yes	characteristic
57	C₂³×#127	C₂²	1	2	yes	complemented
58	C₂²×#529	C₂²	1	112	yes	complemented
59	C₂²×#529	C₂²	1	112	yes	complemented
60	C₂³×#126	C₂²	1	1	yes	characteristic
61	C₂³×#126	C₂²	1	2	yes	—
62	C₂³×#126	C₂²	1	2	yes	—
63	C₂³×#126	C₂²	1	2	yes	complemented
64	C₂³×#126	C₂²	1	1	yes	characteristic, complemented
65	C₂³×#126	C₂²	1	2	yes	complemented
66	C₂³×#126	C₂²	1	2	yes	complemented
67	C₂³×#125	C₂²	1	2	yes	complemented
68	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
69	C₂³×#125	C₂²	1	1	yes	characteristic, complemented
70	C₂³×#125	C₂²	1	2	yes	complemented
71	C₂³×#124	C₂²	1	1	yes	characteristic
72	C₂³×#124	C₂²	1	1	yes	characteristic
73	C₂³×#124	C₂²	1	1	yes	characteristic
74	C₂³×#124	C₂²	1	2	yes	—
75	C₂³×#124	C₂²	1	1	yes	characteristic
76	C₂³×#124	C₂²	1	1	yes	characteristic
77	C₂³×#124	C₂²	1	2	yes	complemented
78	C₂³×#124	C₂²	1	2	yes	complemented
79	C₂³×#124	C₂²	1	1	yes	characteristic, complemented
80	C₂³×#123	C₂²	1	2	yes	—
81	C₂³×#123	C₂²	1	1	yes	characteristic
82	C₂³×#123	C₂²	1	2	yes	—
83	C₂³×#123	C₂²	1	2	yes	—
84	C₂³×#123	C₂²	1	2	yes	complemented
85	C₂³×#123	C₂²	1	2	yes	complemented
86	C₂³×#123	C₂²	1	2	yes	complemented
87	C₂³×#123	C₂²	1	1	yes	characteristic, complemented
88	C₂³×#123	C₂²	1	2	yes	complemented
89	C₂³×#123	C₂²	1	2	yes	complemented
90	C₂³×#123	C₂²	1	2	yes	complemented
91	C₂³×#123	C₂²	1	2	yes	complemented
92	C₂³×#123	C₂²	1	2	yes	complemented
93	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
94	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
95	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
96	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
97	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
98	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
99	C₂³×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
100	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
101	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
102	C₂³×#121	C₂²	1	2	yes	—
103	C₂³×#121	C₂²	1	2	yes	—
104	C₂³×#121	C₂²	1	1	yes	characteristic
105	C₂³×#121	C₂²	1	1	yes	characteristic
106	C₂³×#121	C₂²	1	2	yes	—
107	C₂³×#121	C₂²	1	2	yes	—
108	C₂³×#121	C₂²	1	2	yes	—
109	C₂³×#121	C₂²	1	1	yes	characteristic
110	C₂³×#121	C₂²	1	2	yes	—
111	C₂³×#121	C₂²	1	2	yes	complemented
112	C₂³×#121	C₂²	1	2	yes	complemented
113	C₂³×#121	C₂²	1	2	yes	complemented
114	C₂³×#121	C₂²	1	2	yes	complemented
115	C₂³×#121	C₂²	1	2	yes	complemented
116	C₂³×#121	C₂²	1	1	yes	characteristic, complemented
117	C₂³×#121	C₂²	1	2	yes	complemented
118	C₂³×#121	C₂²	1	2	yes	complemented
119	C₂³×#120	C₂²	1	2	yes	—
120	C₂³×#120	C₂²	1	2	yes	—
121	C₂³×#120	C₂²	1	2	yes	—
122	C₂³×#120	C₂²	1	2	yes	—
123	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
124	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
125	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
126	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
127	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
128	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
129	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
130	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
131	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
132	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
133	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
134	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
135	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
136	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
137	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
138	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
139	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
140	C₂³×#117	C₂²	1	1	yes	characteristic
141	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
142	C₂³×#117	C₂²	1	2	yes	complemented
143	C₂³×#117	C₂²	1	2	yes	complemented
144	C₂⁴×C₄⋊C₄	C₂²	1	2	yes	complemented
145	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
146	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	—
147	C₂⁴×C₄²	C₂²	1	1	yes	characteristic, complemented
148	C₂⁷	C₂³	1	2	yes	—
149	C₂³×#41	—	4	16	no	—
150	C₂³×#41	—	4	16	no	—
151	C₂³×#41	—	4	16	no	—
152	C₂³×#41	—	4	16	no	—
153	C₂³×#41	C₂³	1	56	yes	—
154	C₂³×#41	C₂³	1	56	yes	—
155	C₂³×#41	C₂³	1	56	yes	—
156	C₂³×#41	C₂³	1	56	yes	complemented
157	C₂⁴×Q₈	—	4	16	no	—
158	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
159	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
160	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
161	C₂⁴×Q₈	C₂³	1	2	yes	—
162	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
163	C₂⁴×Q₈	C₂³	1	56	yes	complemented
164	C₂⁴×D₄	—	4	16	no	—
165	C₂⁴×D₄	C₂³	1	1	yes	characteristic
166	C₂⁴×D₄	C₂³	1	1	yes	characteristic
167	C₂⁴×D₄	C₂³	1	1	yes	characteristic
168	C₂⁴×D₄	C₂³	1	2	yes	—
169	C₂⁴×D₄	C₂³	1	56	yes	—
170	C₂⁴×D₄	C₂³	1	2	yes	—
171	C₂⁴×D₄	C₂³	1	2	yes	—
172	C₂⁴×D₄	C₂³	1	2	yes	—
173	C₂⁴×D₄	C₂³	1	2	yes	—
174	C₂⁴×D₄	C₂³	1	1	yes	characteristic
175	C₂⁴×D₄	C₂³	1	1	yes	characteristic
176	C₂⁴×D₄	C₂³	1	2	yes	—
177	C₂⁴×D₄	C₂³	1	2	yes	—
178	C₂⁴×D₄	C₂³	1	2	yes	—
179	C₂⁴×D₄	C₂³	1	2	yes	—
180	C₂⁴×D₄	C₂³	1	2	yes	—
181	C₂⁴×D₄	C₂³	1	2	yes	—
182	C₂⁴×D₄	C₂³	1	2	yes	—
183	C₂⁴×D₄	C₂³	1	1	yes	characteristic
184	C₂⁵×C₄	C₂³	1	1	yes	characteristic
185	C₂⁵×C₄	C₂³	1	1	yes	characteristic
186	C₂⁵×C₄	C₂³	1	1	yes	characteristic
187	C₂⁵×C₄	C₂³	1	2	yes	—
188	C₂⁵×C₄	C₂³	1	2	yes	—
189	C₂⁵×C₄	C₂³	1	2	yes	—
190	C₂⁵×C₄	C₂³	1	2	yes	—
191	C₂⁵×C₄	C₂³	1	2	yes	—
192	C₂⁵×C₄	C₂³	1	1	yes	characteristic
193	C₂⁵×C₄	C₂³	1	1	yes	characteristic
194	C₂⁵×C₄	C₂³	1	2	yes	—
195	C₂⁵×C₄	C₂³	1	2	yes	—
196	C₂⁵×C₄	C₂³	1	2	yes	—
197	#3562	C₂³	1	32768	yes	direct product factor
198	C₂×#562	C₂³	1	3584	yes	complemented
199	C₂×#560	C₂³	1	3584	yes	complemented
200	C₂×#559	C₂³	1	1792	yes	complemented
201	C₂×#556	C₂³	1	1792	yes	complemented
202	C₂×#553	C₂³	1	3584	yes	complemented
203	C₂×#551	C₂³	1	3584	yes	complemented
204	C₂×#550	C₂³	1	1792	yes	complemented
205	C₂×#548	C₂³	1	1792	yes	complemented
206	C₂×#548	C₂³	1	1792	yes	complemented
207	C₂×#547	C₂³	1	1792	yes	complemented
208	C₂×#546	C₂³	1	1792	yes	complemented
209	C₂×#546	C₂³	1	1792	yes	complemented
210	C₂×#541	C₂³	1	1792	yes	complemented
211	C₂×#540	C₂³	1	1792	yes	complemented
212	C₂×#540	C₂³	1	3584	yes	complemented
213	C₂×#539	C₂³	1	3584	yes	complemented
214	C₂×#538	C₂³	1	3584	yes	complemented
215	C₂×#538	C₂³	1	3584	yes	complemented
216	C₂×#536	C₂³	1	1792	yes	complemented
217	C₂×#535	C₂³	1	1792	yes	complemented
218	C₂×#532	C₂³	1	1792	yes	complemented
219	C₂²×C₄⋊Q₈	C₂³	1	56	yes	complemented
220	C₂²×C₄⋊Q₈	C₂³	1	56	yes	complemented
221	C₂²×#127	C₂³	1	56	yes	—
222	C₂²×#127	C₂³	1	56	yes	—
223	C₂²×#127	C₂³	1	112	yes	complemented
224	C₂×#529	C₂³	1	1792	yes	complemented
225	C₂×#529	C₂³	1	1792	yes	complemented
226	C₂²×#126	C₂³	1	56	yes	—
227	C₂²×#126	C₂³	1	112	yes	—
228	C₂²×#126	C₂³	1	112	yes	—
229	C₂²×#126	C₂³	1	112	yes	complemented
230	C₂²×#126	C₂³	1	56	yes	complemented
231	C₂²×#126	C₂³	1	112	yes	complemented
232	C₂²×#126	C₂³	1	112	yes	complemented
233	C₂²×#125	C₂³	1	56	yes	complemented
234	C₂²×#125	C₂³	1	56	yes	complemented
235	C₂²×#125	C₂³	1	112	yes	complemented
236	C₂²×#125	C₂³	1	112	yes	complemented
237	C₂²×#124	C₂³	1	56	yes	—
238	C₂²×#124	C₂³	1	56	yes	—
239	C₂²×#124	C₂³	1	56	yes	—
240	C₂²×#124	C₂³	1	112	yes	—
241	C₂²×#124	C₂³	1	56	yes	—
242	C₂²×#124	C₂³	1	56	yes	—
243	C₂²×#124	C₂³	1	56	yes	complemented
244	C₂²×#124	C₂³	1	112	yes	complemented
245	C₂²×#124	C₂³	1	112	yes	complemented
246	C₂²×#123	C₂³	1	56	yes	—
247	C₂²×#123	C₂³	1	112	yes	—
248	C₂²×#123	C₂³	1	112	yes	—
249	C₂²×#123	C₂³	1	112	yes	—
250	C₂²×#123	C₂³	1	56	yes	complemented
251	C₂²×#123	C₂³	1	112	yes	complemented
252	C₂²×#123	C₂³	1	112	yes	complemented
253	C₂²×#123	C₂³	1	112	yes	complemented
254	C₂²×#123	C₂³	1	112	yes	complemented
255	C₂²×#123	C₂³	1	112	yes	complemented
256	C₂²×#123	C₂³	1	112	yes	complemented
257	C₂²×#123	C₂³	1	112	yes	complemented
258	C₂²×#123	C₂³	1	112	yes	complemented
259	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	—
260	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	—
261	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
262	C₂²×C₂²⋊Q₈	C₂³	1	56	yes	complemented
263	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
264	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
265	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
266	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
267	C₂²×C₂²⋊Q₈	C₂³	1	112	yes	complemented
268	C₂²×#121	C₂³	1	56	yes	—
269	C₂²×#121	C₂³	1	56	yes	—
270	C₂²×#121	C₂³	1	112	yes	—
271	C₂²×#121	C₂³	1	112	yes	—
272	C₂²×#121	C₂³	1	112	yes	—
273	C₂²×#121	C₂³	1	112	yes	—
274	C₂²×#121	C₂³	1	112	yes	—
275	C₂²×#121	C₂³	1	56	yes	—
276	C₂²×#121	C₂³	1	112	yes	—
277	C₂²×#121	C₂³	1	112	yes	complemented
278	C₂²×#121	C₂³	1	112	yes	complemented
279	C₂²×#121	C₂³	1	112	yes	complemented
280	C₂²×#121	C₂³	1	112	yes	complemented
281	C₂²×#121	C₂³	1	112	yes	complemented
282	C₂²×#121	C₂³	1	112	yes	complemented
283	C₂²×#121	C₂³	1	112	yes	complemented
284	C₂²×#121	C₂³	1	56	yes	complemented
285	C₂²×#120	C₂³	1	112	yes	—
286	C₂²×#120	C₂³	1	112	yes	—
287	C₂²×#120	C₂³	1	112	yes	—
288	C₂²×#120	C₂³	1	112	yes	—
289	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
290	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
291	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
292	C₂²×C₄×Q₈	C₂³	1	56	yes	complemented
293	C₂²×C₄×D₄	C₂³	1	56	yes	—
294	C₂²×C₄×D₄	C₂³	1	56	yes	—
295	C₂²×C₄×D₄	C₂³	1	56	yes	—
296	C₂²×C₄×D₄	C₂³	1	56	yes	—
297	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
298	C₂²×C₄×D₄	C₂³	1	56	yes	complemented
299	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
300	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
301	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
302	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
303	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
304	C₂²×C₄×D₄	C₂³	1	112	yes	complemented
305	C₂²×C₄×D₄	C₂³	1	56	yes	complemented
306	C₂²×#117	C₂³	1	56	yes	—
307	C₂²×#117	C₂³	1	56	yes	complemented
308	C₂²×#117	C₂³	1	112	yes	complemented
309	C₂²×#117	C₂³	1	112	yes	complemented
310	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
312	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
313	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
314	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
322	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
327	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
328	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
329	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
330	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
331	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
333	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
334	C₂³×C₄⋊C₄	C₂³	1	112	yes	complemented
335	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
338	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
339	C₂³×C₂²⋊C₄	C₂³	1	2	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	112	yes	—
344	C₂³×C₂²⋊C₄	C₂³	1	112	yes	—
345	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
355	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
357	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
358	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
359	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
360	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
361	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
362	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
363	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
364	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
365	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
366	C₂³×C₄²	C₂³	1	1	yes	characteristic
367	C₂³×C₄²	C₂³	1	1	yes	characteristic
368	C₂³×C₄²	C₂³	1	1	yes	characteristic
369	C₂³×C₄²	C₂³	1	1	yes	characteristic
370	C₂³×C₄²	C₂³	1	1	yes	characteristic
371	C₂³×C₄²	C₂³	1	2	yes	—
372	C₂³×C₄²	C₂³	1	1	yes	characteristic
373	C₂³×C₄²	C₂³	1	2	yes	—
374	C₂³×C₄²	C₂³	1	2	yes	—
375	C₂³×C₄²	C₂³	1	56	yes	complemented
376	C₂⁶	—	4	16	no	—
377	C₂⁶	—	4	16	no	—
378	C₂⁶	—	4	16	no	—
379	C₂⁶	C₂⁴	1	1	yes	characteristic
380	C₂⁶	C₂⁴	1	1	yes	characteristic
381	C₂⁶	C₂⁴	1	2	yes	—
382	C₂⁶	C₂⁴	1	2	yes	—
383	C₂⁶	C₂⁴	1	2	yes	—
384	C₂⁶	C₂⁴	1	1	yes	characteristic
385	C₂⁶	C₂⁴	1	56	yes	—
386	C₂²×#41	—	4	448	no	—
387	C₂²×#41	—	4	448	no	—
388	C₂²×#41	—	4	448	no	—
389	C₂²×#41	—	4	448	no	—
390	C₂²×#41	C₂⁴	1	448	yes	—
391	C₂²×#41	C₂⁴	1	448	yes	—
392	C₂²×#41	C₂⁴	1	448	yes	—
393	C₂²×#41	C₂⁴	1	448	yes	complemented
394	C₂³×Q₈	—	2	16	no	—
395	C₂³×Q₈	—	2	16	no	—
396	C₂³×Q₈	—	2	16	no	—
397	C₂³×Q₈	—	4	16	no	—
398	C₂³×Q₈	—	4	8	no	—
399	C₂³×Q₈	—	4	448	no	—
400	C₂³×Q₈	C₂⁴	1	28	yes	—
401	C₂³×Q₈	C₂⁴	1	28	yes	—
402	C₂³×Q₈	C₂⁴	1	28	yes	—
403	C₂³×Q₈	C₂⁴	1	56	yes	—
404	C₂³×Q₈	C₂⁴	1	28	yes	—
405	C₂³×Q₈	C₂⁴	1	448	yes	complemented
406	C₂³×D₄	—	2	16	no	—
407	C₂³×D₄	—	2	16	no	—
408	C₂³×D₄	—	2	16	no	—
409	C₂³×D₄	—	4	448	no	—
410	C₂³×D₄	—	4	16	no	—
411	C₂³×D₄	—	4	8	no	—
412	C₂³×D₄	—	4	16	no	—
413	C₂³×D₄	—	4	16	no	—
414	C₂³×D₄	—	4	16	no	—
415	C₂³×D₄	—	4	16	no	—
416	C₂³×D₄	—	4	16	no	—
417	C₂³×D₄	—	4	8	no	—
418	C₂³×D₄	—	4	16	no	—
419	C₂³×D₄	—	4	8	no	—
420	C₂³×D₄	—	4	16	no	—
421	C₂³×D₄	—	4	16	no	—
422	C₂³×D₄	—	4	16	no	—
423	C₂³×D₄	—	4	16	no	—
424	C₂³×D₄	—	4	16	no	—
425	C₂³×D₄	C₂⁴	1	28	yes	—
426	C₂³×D₄	C₂⁴	1	28	yes	—
427	C₂³×D₄	C₂⁴	1	28	yes	—
428	C₂³×D₄	C₂⁴	1	56	yes	—
429	C₂³×D₄	C₂⁴	1	448	yes	—
430	C₂³×D₄	C₂⁴	1	56	yes	—
431	C₂³×D₄	C₂⁴	1	56	yes	—
432	C₂³×D₄	C₂⁴	1	56	yes	—
433	C₂³×D₄	C₂⁴	1	56	yes	—
434	C₂³×D₄	C₂⁴	1	28	yes	—
435	C₂³×D₄	C₂⁴	1	28	yes	—
436	C₂³×D₄	C₂⁴	1	56	yes	—
437	C₂³×D₄	C₂⁴	1	56	yes	—
438	C₂³×D₄	C₂⁴	1	56	yes	—
439	C₂³×D₄	C₂⁴	1	56	yes	—
440	C₂³×D₄	C₂⁴	1	56	yes	—
441	C₂³×D₄	C₂⁴	1	56	yes	—
442	C₂³×D₄	C₂⁴	1	56	yes	—
443	C₂³×D₄	C₂⁴	1	28	yes	—
444	C₂⁴×C₄	—	2	16	no	—
445	C₂⁴×C₄	—	2	16	no	—
446	C₂⁴×C₄	—	2	16	no	—
447	C₂⁴×C₄	—	4	16	no	—
448	C₂⁴×C₄	—	4	8	no	—
449	C₂⁴×C₄	—	4	16	no	—
450	C₂⁴×C₄	—	4	16	no	—
451	C₂⁴×C₄	—	4	8	no	—
452	C₂⁴×C₄	—	4	16	no	—
453	C₂⁴×C₄	—	4	16	no	—
454	C₂⁴×C₄	—	4	16	no	—
455	C₂⁴×C₄	—	4	16	no	—
456	C₂⁴×C₄	—	4	16	no	—
457	C₂⁴×C₄	C₂⁴	1	28	yes	—
458	C₂⁴×C₄	C₂⁴	1	28	yes	—
459	C₂⁴×C₄	C₂⁴	1	28	yes	—
460	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
461	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
462	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
463	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
464	C₂⁴×C₄	C₂⁴	1	2	yes	—
465	C₂⁴×C₄	C₂⁴	1	2	yes	—
466	C₂⁴×C₄	C₂⁴	1	2	yes	—
467	C₂⁴×C₄	C₂⁴	1	2	yes	—
468	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
469	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
470	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
471	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
472	C₂⁴×C₄	C₂⁴	1	2	yes	—
473	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
474	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
475	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
476	C₂⁴×C₄	C₂⁴	1	56	yes	—
477	C₂⁴×C₄	C₂⁴	1	56	yes	—
478	C₂⁴×C₄	C₂⁴	1	56	yes	—
479	C₂⁴×C₄	C₂⁴	1	56	yes	—
480	C₂⁴×C₄	C₂⁴	1	56	yes	—
481	C₂⁴×C₄	C₂⁴	1	28	yes	—
482	C₂⁴×C₄	C₂⁴	1	28	yes	—
483	C₂⁴×C₄	C₂⁴	1	56	yes	—
484	C₂⁴×C₄	C₂⁴	1	56	yes	—
485	C₂⁴×C₄	C₂⁴	1	56	yes	—
486	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
487	#562	C₂⁴	1	8192	yes	complemented
488	#560	C₂⁴	1	8192	yes	complemented
489	#559	C₂⁴	1	4096	yes	complemented
490	#556	C₂⁴	1	4096	yes	complemented
491	#553	C₂⁴	1	8192	yes	complemented
492	#551	C₂⁴	1	8192	yes	complemented
493	#550	C₂⁴	1	4096	yes	complemented
494	#548	C₂⁴	1	4096	yes	complemented
495	#548	C₂⁴	1	4096	yes	complemented
496	#547	C₂⁴	1	4096	yes	complemented
497	#546	C₂⁴	1	4096	yes	complemented
498	#546	C₂⁴	1	4096	yes	complemented
499	#541	C₂⁴	1	4096	yes	complemented
500	#540	C₂⁴	1	4096	yes	complemented
501	#540	C₂⁴	1	8192	yes	complemented
502	#539	C₂⁴	1	8192	yes	complemented
503	#538	C₂⁴	1	8192	yes	complemented
504	#538	C₂⁴	1	8192	yes	complemented
505	#536	C₂⁴	1	4096	yes	complemented
506	#535	C₂⁴	1	4096	yes	complemented
507	#532	C₂⁴	1	4096	yes	complemented
508	C₂×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
509	C₂×C₄⋊Q₈	C₂⁴	1	448	yes	complemented
510	C₂×#127	C₂⁴	1	448	yes	—
511	C₂×#127	C₂⁴	1	448	yes	—
512	C₂×#127	C₂⁴	1	896	yes	complemented
513	#529	C₂⁴	1	4096	yes	complemented
514	#529	C₂⁴	1	4096	yes	complemented
515	C₂×#126	C₂⁴	1	448	yes	—
516	C₂×#126	C₂⁴	1	896	yes	—
517	C₂×#126	C₂⁴	1	896	yes	—
518	C₂×#126	C₂⁴	1	896	yes	complemented
519	C₂×#126	C₂⁴	1	448	yes	complemented
520	C₂×#126	C₂⁴	1	896	yes	complemented
521	C₂×#126	C₂⁴	1	896	yes	complemented
522	C₂×#125	C₂⁴	1	448	yes	complemented
523	C₂×#125	C₂⁴	1	448	yes	complemented
524	C₂×#125	C₂⁴	1	896	yes	complemented
525	C₂×#125	C₂⁴	1	896	yes	complemented
526	C₂×#124	C₂⁴	1	448	yes	—
527	C₂×#124	C₂⁴	1	448	yes	—
528	C₂×#124	C₂⁴	1	448	yes	—
529	C₂×#124	C₂⁴	1	448	yes	—
530	C₂×#124	C₂⁴	1	448	yes	—
531	C₂×#124	C₂⁴	1	896	yes	—
532	C₂×#124	C₂⁴	1	448	yes	complemented
533	C₂×#124	C₂⁴	1	896	yes	complemented
534	C₂×#124	C₂⁴	1	896	yes	complemented
535	C₂×#123	C₂⁴	1	448	yes	—
536	C₂×#123	C₂⁴	1	896	yes	—
537	C₂×#123	C₂⁴	1	896	yes	—
538	C₂×#123	C₂⁴	1	896	yes	—
539	C₂×#123	C₂⁴	1	448	yes	complemented
540	C₂×#123	C₂⁴	1	896	yes	complemented
541	C₂×#123	C₂⁴	1	896	yes	complemented
542	C₂×#123	C₂⁴	1	896	yes	complemented
543	C₂×#123	C₂⁴	1	896	yes	complemented
544	C₂×#123	C₂⁴	1	896	yes	complemented
545	C₂×#123	C₂⁴	1	896	yes	complemented
546	C₂×#123	C₂⁴	1	896	yes	complemented
547	C₂×#123	C₂⁴	1	896	yes	complemented
548	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	—
549	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	—
550	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
551	C₂×C₂²⋊Q₈	C₂⁴	1	448	yes	complemented
552	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
553	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
554	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
555	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
556	C₂×C₂²⋊Q₈	C₂⁴	1	896	yes	complemented
557	C₂×#121	C₂⁴	1	448	yes	—
558	C₂×#121	C₂⁴	1	448	yes	—
559	C₂×#121	C₂⁴	1	896	yes	—
560	C₂×#121	C₂⁴	1	896	yes	—
561	C₂×#121	C₂⁴	1	896	yes	—
562	C₂×#121	C₂⁴	1	896	yes	—
563	C₂×#121	C₂⁴	1	448	yes	—
564	C₂×#121	C₂⁴	1	896	yes	—
565	C₂×#121	C₂⁴	1	896	yes	—
566	C₂×#121	C₂⁴	1	896	yes	complemented
567	C₂×#121	C₂⁴	1	896	yes	complemented
568	C₂×#121	C₂⁴	1	896	yes	complemented
569	C₂×#121	C₂⁴	1	896	yes	complemented
570	C₂×#121	C₂⁴	1	896	yes	complemented
571	C₂×#121	C₂⁴	1	448	yes	complemented
572	C₂×#121	C₂⁴	1	896	yes	complemented
573	C₂×#121	C₂⁴	1	896	yes	complemented
574	C₂×#120	C₂⁴	1	896	yes	—
575	C₂×#120	C₂⁴	1	896	yes	—
576	C₂×#120	C₂⁴	1	896	yes	—
577	C₂×#120	C₂⁴	1	896	yes	—
578	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
579	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
580	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
581	C₂×C₄×Q₈	C₂⁴	1	448	yes	complemented
582	C₂×C₄×D₄	C₂⁴	1	448	yes	—
583	C₂×C₄×D₄	C₂⁴	1	448	yes	—
584	C₂×C₄×D₄	C₂⁴	1	448	yes	—
585	C₂×C₄×D₄	C₂⁴	1	448	yes	—
586	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
587	C₂×C₄×D₄	C₂⁴	1	448	yes	complemented
588	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
589	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
590	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
591	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
592	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
593	C₂×C₄×D₄	C₂⁴	1	448	yes	complemented
594	C₂×C₄×D₄	C₂⁴	1	896	yes	complemented
595	C₂×#117	C₂⁴	1	448	yes	—
596	C₂×#117	C₂⁴	1	448	yes	complemented
597	C₂×#117	C₂⁴	1	896	yes	complemented
598	C₂×#117	C₂⁴	1	896	yes	complemented
599	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
600	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
601	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
602	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
603	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
604	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
605	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
606	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
607	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
608	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
609	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
610	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
611	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
612	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
613	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
614	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
615	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
616	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
617	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
618	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
619	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
620	C₂²×C₄⋊C₄	C₂⁴	1	28	yes	—
621	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
622	C₂²×C₄⋊C₄	C₂⁴	1	56	yes	—
623	C₂²×C₄⋊C₄	C₂⁴	1	896	yes	complemented
624	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
625	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
626	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
627	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
628	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
629	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
630	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
631	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
632	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
633	C₂²×C₂²⋊C₄	C₂⁴	1	896	yes	—
634	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
635	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
636	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
637	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
638	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
639	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
640	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
641	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
642	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
643	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
644	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
645	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
646	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
647	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
648	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
649	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
650	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
651	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
652	C₂²×C₂²⋊C₄	C₂⁴	1	28	yes	—
653	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
654	C₂²×C₂²⋊C₄	C₂⁴	1	56	yes	—
655	C₂²×C₄²	C₂⁴	1	28	yes	—
656	C₂²×C₄²	C₂⁴	1	28	yes	—
657	C₂²×C₄²	C₂⁴	1	28	yes	—
658	C₂²×C₄²	C₂⁴	1	28	yes	—
659	C₂²×C₄²	C₂⁴	1	28	yes	—
660	C₂²×C₄²	C₂⁴	1	56	yes	—
661	C₂²×C₄²	C₂⁴	1	28	yes	—
662	C₂²×C₄²	C₂⁴	1	56	yes	—
663	C₂²×C₄²	C₂⁴	1	56	yes	—
664	C₂²×C₄²	C₂⁴	1	448	yes	complemented
665	C₂⁵	—	2	8	no	—
666	C₂⁵	—	2	8	no	—
667	C₂⁵	—	2	8	no	—
668	C₂⁵	—	2	16	no	—
669	C₂⁵	—	2	16	no	—
670	C₂⁵	—	2	16	no	—
671	C₂⁵	—	2	8	no	—
672	C₂⁵	—	2	8	no	—
673	C₂⁵	—	2	16	no	—
674	C₂⁵	—	2	16	no	—
675	C₂⁵	—	2	16	no	—
676	C₂⁵	—	2	8	no	—
677	C₂⁵	—	2	8	no	—
678	C₂⁵	—	2	16	no	—
679	C₂⁵	—	2	16	no	—
680	C₂⁵	—	2	16	no	—
681	C₂⁵	—	2	8	no	—
682	C₂⁵	—	2	8	no	—
683	C₂⁵	—	4	224	no	—
684	C₂⁵	—	4	224	no	—
685	C₂⁵	—	4	224	no	—
686	C₂⁵	—	8	256	no	—
687	C₂⁵	C₂⁵	1	14	yes	—
688	C₂⁵	C₂⁵	1	28	yes	—
689	C₂⁵	C₂⁵	1	28	yes	—
690	C₂⁵	C₂⁵	1	14	yes	—
691	C₂⁵	C₂⁵	1	14	yes	—
692	C₂⁵	C₂⁵	1	28	yes	—
693	C₂⁵	C₂⁵	1	224	yes	—
694	C₂⁵	C₂⁵	1	1	yes	characteristic
695	C₂×#41	—	4	1792	no	—
696	C₂×#41	—	4	1792	no	—
697	C₂×#41	—	4	1792	no	—
698	C₂×#41	—	4	1792	no	—
699	C₂×#41	C₂⁵	1	512	yes	—
700	C₂×#41	C₂⁵	1	512	yes	—
701	C₂×#41	C₂⁵	1	512	yes	—
702	C₂×#41	C₂⁵	1	512	yes	complemented
703	C₂²×Q₈	—	2	224	no	—
704	C₂²×Q₈	—	2	224	no	—
705	C₂²×Q₈	—	2	224	no	—
706	C₂²×Q₈	—	4	224	no	—
707	C₂²×Q₈	—	4	112	no	—
708	C₂²×Q₈	—	4	1792	no	—
709	C₂²×Q₈	C₂⁵	1	112	yes	—
710	C₂²×Q₈	C₂⁵	1	112	yes	—
711	C₂²×Q₈	C₂⁵	1	112	yes	—
712	C₂²×Q₈	C₂⁵	1	112	yes	—
713	C₂²×Q₈	C₂⁵	1	224	yes	—
714	C₂²×Q₈	C₂⁵	1	512	yes	complemented
715	C₂²×D₄	—	2	224	no	—
716	C₂²×D₄	—	2	224	no	—
717	C₂²×D₄	—	2	224	no	—
718	C₂²×D₄	—	4	1792	no	—
719	C₂²×D₄	—	4	224	no	—
720	C₂²×D₄	—	4	112	no	—
721	C₂²×D₄	—	4	224	no	—
722	C₂²×D₄	—	4	224	no	—
723	C₂²×D₄	—	4	224	no	—
724	C₂²×D₄	—	4	224	no	—
725	C₂²×D₄	—	4	224	no	—
726	C₂²×D₄	—	4	112	no	—
727	C₂²×D₄	—	4	224	no	—
728	C₂²×D₄	—	4	112	no	—
729	C₂²×D₄	—	4	224	no	—
730	C₂²×D₄	—	4	224	no	—
731	C₂²×D₄	—	4	224	no	—
732	C₂²×D₄	—	4	224	no	—
733	C₂²×D₄	—	4	224	no	—
734	C₂²×D₄	C₂⁵	1	112	yes	—
735	C₂²×D₄	C₂⁵	1	112	yes	—
736	C₂²×D₄	C₂⁵	1	112	yes	—
737	C₂²×D₄	C₂⁵	1	112	yes	—
738	C₂²×D₄	C₂⁵	1	112	yes	—
739	C₂²×D₄	C₂⁵	1	224	yes	—
740	C₂²×D₄	C₂⁵	1	224	yes	—
741	C₂²×D₄	C₂⁵	1	224	yes	—
742	C₂²×D₄	C₂⁵	1	224	yes	—
743	C₂²×D₄	C₂⁵	1	224	yes	—
744	C₂²×D₄	C₂⁵	1	224	yes	—
745	C₂²×D₄	C₂⁵	1	224	yes	—
746	C₂²×D₄	C₂⁵	1	112	yes	—
747	C₂²×D₄	C₂⁵	1	224	yes	—
748	C₂²×D₄	C₂⁵	1	224	yes	—
749	C₂²×D₄	C₂⁵	1	224	yes	—
750	C₂²×D₄	C₂⁵	1	224	yes	—
751	C₂²×D₄	C₂⁵	1	224	yes	—
752	C₂²×D₄	C₂⁵	1	512	yes	—
753	C₂³×C₄	—	2	8	no	—
754	C₂³×C₄	—	2	8	no	—
755	C₂³×C₄	—	2	8	no	—
756	C₂³×C₄	—	2	16	no	—
757	C₂³×C₄	—	2	16	no	—
758	C₂³×C₄	—	2	16	no	—
759	C₂³×C₄	—	2	8	no	—
760	C₂³×C₄	—	2	16	no	—
761	C₂³×C₄	—	2	8	no	—
762	C₂³×C₄	—	2	8	no	—
763	C₂³×C₄	—	2	8	no	—
764	C₂³×C₄	—	2	16	no	—
765	C₂³×C₄	—	2	8	no	—
766	C₂³×C₄	—	2	8	no	—
767	C₂³×C₄	—	2	8	no	—
768	C₂³×C₄	—	2	8	no	—
769	C₂³×C₄	—	2	224	no	—
770	C₂³×C₄	—	2	224	no	—
771	C₂³×C₄	—	2	224	no	—
772	C₂³×C₄	—	4	224	no	—
773	C₂³×C₄	—	4	112	no	—
774	C₂³×C₄	—	4	224	no	—
775	C₂³×C₄	—	4	224	no	—
776	C₂³×C₄	—	4	112	no	—
777	C₂³×C₄	—	4	224	no	—
778	C₂³×C₄	—	4	224	no	—
779	C₂³×C₄	—	4	224	no	—
780	C₂³×C₄	—	4	224	no	—
781	C₂³×C₄	—	4	224	no	—
782	C₂³×C₄	H(5,𝔽₂)	1	16	yes	—
783	C₂³×C₄	C₂⁵	1	14	yes	—
784	C₂³×C₄	C₂⁵	1	14	yes	—
785	C₂³×C₄	C₂⁵	1	14	yes	—
786	C₂³×C₄	C₂⁵	1	14	yes	—
787	C₂³×C₄	C₂⁵	1	28	yes	—
788	C₂³×C₄	C₂⁵	1	14	yes	—
789	C₂³×C₄	C₂⁵	1	28	yes	—
790	C₂³×C₄	C₂⁵	1	28	yes	—
791	C₂³×C₄	C₂⁵	1	14	yes	—
792	C₂³×C₄	C₂⁵	1	28	yes	—
793	C₂³×C₄	C₂⁵	1	14	yes	—
794	C₂³×C₄	C₂⁵	1	14	yes	—
795	C₂³×C₄	C₂⁵	1	14	yes	—
796	C₂³×C₄	C₂⁵	1	28	yes	—
797	C₂³×C₄	C₂⁵	1	14	yes	—
798	C₂³×C₄	C₂⁵	1	14	yes	—
799	C₂³×C₄	C₂⁵	1	112	yes	—
800	C₂³×C₄	C₂⁵	1	112	yes	—
801	C₂³×C₄	C₂⁵	1	112	yes	—
802	C₂³×C₄	C₂⁵	1	224	yes	—
803	C₂³×C₄	C₂⁵	1	224	yes	—
804	C₂³×C₄	C₂⁵	1	224	yes	—
805	C₂³×C₄	C₂⁵	1	224	yes	—
806	C₂³×C₄	C₂⁵	1	224	yes	—
807	C₂³×C₄	C₂⁵	1	224	yes	—
808	C₂³×C₄	C₂⁵	1	224	yes	—
809	C₂³×C₄	C₂⁵	1	224	yes	—
810	C₂³×C₄	C₂⁵	1	112	yes	—
811	C₂³×C₄	C₂⁵	1	112	yes	—
812	C₂³×C₄	C₂⁵	1	14	yes	—
813	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
814	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
815	#127	C₂⁵	1	512	yes	—
816	#127	C₂⁵	1	512	yes	—
817	#127	C₂⁵	1	1024	yes	complemented
818	#126	C₂⁵	1	512	yes	—
819	#126	C₂⁵	1	1024	yes	—
820	#126	C₂⁵	1	1024	yes	—
821	#126	C₂⁵	1	1024	yes	complemented
822	#126	C₂⁵	1	512	yes	complemented
823	#126	C₂⁵	1	1024	yes	complemented
824	#126	C₂⁵	1	1024	yes	complemented
825	#125	C₂⁵	1	512	yes	complemented
826	#125	C₂⁵	1	512	yes	complemented
827	#125	C₂⁵	1	1024	yes	complemented
828	#125	C₂⁵	1	1024	yes	complemented
829	#124	C₂⁵	1	512	yes	—
830	#124	C₂⁵	1	512	yes	—
831	#124	C₂⁵	1	512	yes	—
832	#124	C₂⁵	1	512	yes	—
833	#124	C₂⁵	1	512	yes	—
834	#124	C₂⁵	1	1024	yes	—
835	#124	C₂⁵	1	512	yes	complemented
836	#124	C₂⁵	1	1024	yes	complemented
837	#124	C₂⁵	1	1024	yes	complemented
838	#123	C₂⁵	1	512	yes	—
839	#123	C₂⁵	1	1024	yes	—
840	#123	C₂⁵	1	1024	yes	—
841	#123	C₂⁵	1	1024	yes	—
842	#123	C₂⁵	1	512	yes	complemented
843	#123	C₂⁵	1	1024	yes	complemented
844	#123	C₂⁵	1	1024	yes	complemented
845	#123	C₂⁵	1	1024	yes	complemented
846	#123	C₂⁵	1	1024	yes	complemented
847	#123	C₂⁵	1	1024	yes	complemented
848	#123	C₂⁵	1	1024	yes	complemented
849	#123	C₂⁵	1	1024	yes	complemented
850	#123	C₂⁵	1	1024	yes	complemented
851	C₂²⋊Q₈	C₂⁵	1	512	yes	—
852	C₂²⋊Q₈	C₂⁵	1	512	yes	—
853	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
854	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
855	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
856	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
857	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
858	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
859	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
860	#121	C₂⁵	1	512	yes	—
861	#121	C₂⁵	1	512	yes	—
862	#121	C₂⁵	1	1024	yes	—
863	#121	C₂⁵	1	1024	yes	—
864	#121	C₂⁵	1	1024	yes	—
865	#121	C₂⁵	1	1024	yes	—
866	#121	C₂⁵	1	512	yes	—
867	#121	C₂⁵	1	1024	yes	—
868	#121	C₂⁵	1	1024	yes	—
869	#121	C₂⁵	1	1024	yes	complemented
870	#121	C₂⁵	1	1024	yes	complemented
871	#121	C₂⁵	1	1024	yes	complemented
872	#121	C₂⁵	1	1024	yes	complemented
873	#121	C₂⁵	1	1024	yes	complemented
874	#121	C₂⁵	1	512	yes	complemented
875	#121	C₂⁵	1	1024	yes	complemented
876	#121	C₂⁵	1	1024	yes	complemented
877	#120	C₂⁵	1	1024	yes	—
878	#120	C₂⁵	1	1024	yes	—
879	#120	C₂⁵	1	1024	yes	—
880	#120	C₂⁵	1	1024	yes	—
881	C₄×Q₈	C₂⁵	1	512	yes	complemented
882	C₄×Q₈	C₂⁵	1	512	yes	complemented
883	C₄×Q₈	C₂⁵	1	512	yes	complemented
884	C₄×Q₈	C₂⁵	1	512	yes	complemented
885	C₄×D₄	C₂⁵	1	512	yes	—
886	C₄×D₄	C₂⁵	1	512	yes	—
887	C₄×D₄	C₂⁵	1	512	yes	—
888	C₄×D₄	C₂⁵	1	512	yes	—
889	C₄×D₄	C₂⁵	1	1024	yes	complemented
890	C₄×D₄	C₂⁵	1	512	yes	complemented
891	C₄×D₄	C₂⁵	1	1024	yes	complemented
892	C₄×D₄	C₂⁵	1	1024	yes	complemented
893	C₄×D₄	C₂⁵	1	1024	yes	complemented
894	C₄×D₄	C₂⁵	1	1024	yes	complemented
895	C₄×D₄	C₂⁵	1	1024	yes	complemented
896	C₄×D₄	C₂⁵	1	512	yes	complemented
897	C₄×D₄	C₂⁵	1	1024	yes	complemented
898	#117	C₂⁵	1	512	yes	—
899	#117	C₂⁵	1	512	yes	complemented
900	#117	C₂⁵	1	1024	yes	complemented
901	#117	C₂⁵	1	1024	yes	complemented
902	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
903	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
904	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
905	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
906	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
907	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
908	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
909	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
910	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
911	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
912	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
913	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
914	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
915	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
916	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
917	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
918	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
919	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
920	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
921	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
922	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
923	C₂×C₄⋊C₄	C₂⁵	1	112	yes	—
924	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
925	C₂×C₄⋊C₄	C₂⁵	1	224	yes	—
926	C₂×C₄⋊C₄	C₂⁵	1	1024	yes	complemented
927	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
928	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
929	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
930	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
931	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
932	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
933	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
934	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
935	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
936	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
937	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
938	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
939	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
940	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
941	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
942	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
943	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
944	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
945	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
946	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
947	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
948	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
949	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
950	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
951	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
952	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
953	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
954	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
955	C₂×C₂²⋊C₄	C₂⁵	1	112	yes	—
956	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
957	C₂×C₂²⋊C₄	C₂⁵	1	224	yes	—
958	C₂×C₄²	C₂⁵	1	112	yes	—
959	C₂×C₄²	C₂⁵	1	112	yes	—
960	C₂×C₄²	C₂⁵	1	224	yes	—
961	C₂×C₄²	C₂⁵	1	112	yes	—
962	C₂×C₄²	C₂⁵	1	112	yes	—
963	C₂×C₄²	C₂⁵	1	224	yes	—
964	C₂×C₄²	C₂⁵	1	112	yes	—
965	C₂×C₄²	C₂⁵	1	224	yes	—
966	C₂×C₄²	C₂⁵	1	112	yes	—
967	C₂×C₄²	C₂⁵	1	512	yes	complemented
968	C₂⁴	—	2	56	no	—
969	C₂⁴	—	2	56	no	—
970	C₂⁴	—	2	56	no	—
971	C₂⁴	—	2	112	no	—
972	C₂⁴	—	2	112	no	—
973	C₂⁴	—	2	112	no	—
974	C₂⁴	—	2	56	no	—
975	C₂⁴	—	2	56	no	—
976	C₂⁴	—	2	112	no	—
977	C₂⁴	—	2	112	no	—
978	C₂⁴	—	2	112	no	—
979	C₂⁴	—	2	56	no	—
980	C₂⁴	—	2	56	no	—
981	C₂⁴	—	2	112	no	—
982	C₂⁴	—	2	112	no	—
983	C₂⁴	—	2	112	no	—
984	C₂⁴	—	2	56	no	—
985	C₂⁴	—	2	56	no	—
986	C₂⁴	—	4	448	no	—
987	C₂⁴	—	4	448	no	—
988	C₂⁴	—	4	448	no	—
989	C₂⁴	—	4	64	no	—
990	C₂⁴	—	4	64	no	—
991	C₂⁴	—	4	128	no	—
992	C₂⁴	—	4	128	no	—
993	C₂⁴	—	4	128	no	—
994	C₂⁴	—	4	64	no	—
995	C₂⁴	—	8	1792	no	—
996	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
997	C₂⁴	#585	1	8	yes	—
998	C₂⁴	#585	1	8	yes	—
999	C₂⁴	C₂⁶	1	28	yes	—
1000	C₂⁴	C₂⁶	1	56	yes	—
1001	C₂⁴	C₂⁶	1	56	yes	—
1002	C₂⁴	C₂⁶	1	28	yes	—
1003	C₂⁴	C₂⁶	1	28	yes	—
1004	C₂⁴	C₂⁶	1	56	yes	—
1005	C₂⁴	C₂⁶	1	128	yes	—
1006	C₂⁴	C₂⁶	1	7	yes	—
1007	#41	—	4	1024	no	—
1008	#41	—	4	1024	no	—
1009	#41	—	4	1024	no	—
1010	#41	—	4	1024	no	—
1011	C₂×Q₈	—	2	448	no	—
1012	C₂×Q₈	—	2	448	no	—
1013	C₂×Q₈	—	2	448	no	—
1014	C₂×Q₈	—	4	448	no	—
1015	C₂×Q₈	—	4	224	no	—
1016	C₂×Q₈	—	4	1024	no	—
1017	C₂×Q₈	C₂⁶	1	64	yes	—
1018	C₂×Q₈	C₂⁶	1	64	yes	—
1019	C₂×Q₈	C₂⁶	1	64	yes	—
1020	C₂×Q₈	C₂⁶	1	64	yes	—
1021	C₂×Q₈	C₂⁶	1	128	yes	—
1022	C₂×D₄	—	2	448	no	—
1023	C₂×D₄	—	2	448	no	—
1024	C₂×D₄	—	2	448	no	—
1025	C₂×D₄	—	4	1024	no	—
1026	C₂×D₄	—	4	448	no	—
1027	C₂×D₄	—	4	224	no	—
1028	C₂×D₄	—	4	448	no	—
1029	C₂×D₄	—	4	448	no	—
1030	C₂×D₄	—	4	448	no	—
1031	C₂×D₄	—	4	448	no	—
1032	C₂×D₄	—	4	448	no	—
1033	C₂×D₄	—	4	224	no	—
1034	C₂×D₄	—	4	448	no	—
1035	C₂×D₄	—	4	224	no	—
1036	C₂×D₄	—	4	448	no	—
1037	C₂×D₄	—	4	448	no	—
1038	C₂×D₄	—	4	448	no	—
1039	C₂×D₄	—	4	448	no	—
1040	C₂×D₄	—	4	448	no	—
1041	C₂×D₄	C₂⁶	1	64	yes	—
1042	C₂×D₄	C₂⁶	1	64	yes	—
1043	C₂×D₄	C₂⁶	1	64	yes	—
1044	C₂×D₄	C₂⁶	1	64	yes	—
1045	C₂×D₄	C₂⁶	1	64	yes	—
1046	C₂×D₄	C₂⁶	1	128	yes	—
1047	C₂×D₄	C₂⁶	1	128	yes	—
1048	C₂×D₄	C₂⁶	1	128	yes	—
1049	C₂×D₄	C₂⁶	1	128	yes	—
1050	C₂×D₄	C₂⁶	1	128	yes	—
1051	C₂×D₄	C₂⁶	1	128	yes	—
1052	C₂×D₄	C₂⁶	1	128	yes	—
1053	C₂×D₄	C₂⁶	1	64	yes	—
1054	C₂×D₄	C₂⁶	1	128	yes	—
1055	C₂×D₄	C₂⁶	1	128	yes	—
1056	C₂×D₄	C₂⁶	1	128	yes	—
1057	C₂×D₄	C₂⁶	1	128	yes	—
1058	C₂×D₄	C₂⁶	1	128	yes	—
1059	C₂²×C₄	—	2	56	no	—
1060	C₂²×C₄	—	2	56	no	—
1061	C₂²×C₄	—	2	56	no	—
1062	C₂²×C₄	—	2	112	no	—
1063	C₂²×C₄	—	2	112	no	—
1064	C₂²×C₄	—	2	112	no	—
1065	C₂²×C₄	—	2	56	no	—
1066	C₂²×C₄	—	2	112	no	—
1067	C₂²×C₄	—	2	56	no	—
1068	C₂²×C₄	—	2	56	no	—
1069	C₂²×C₄	—	2	56	no	—
1070	C₂²×C₄	—	2	112	no	—
1071	C₂²×C₄	—	2	56	no	—
1072	C₂²×C₄	—	2	56	no	—
1073	C₂²×C₄	—	2	56	no	—
1074	C₂²×C₄	—	2	56	no	—
1075	C₂²×C₄	—	2	448	no	—
1076	C₂²×C₄	—	2	448	no	—
1077	C₂²×C₄	—	2	448	no	—
1078	C₂²×C₄	—	4	448	no	—
1079	C₂²×C₄	—	4	224	no	—
1080	C₂²×C₄	—	4	448	no	—
1081	C₂²×C₄	—	4	448	no	—
1082	C₂²×C₄	—	4	224	no	—
1083	C₂²×C₄	—	4	448	no	—
1084	C₂²×C₄	—	4	448	no	—
1085	C₂²×C₄	—	4	448	no	—
1086	C₂²×C₄	—	4	448	no	—
1087	C₂²×C₄	—	4	448	no	—
1088	C₂²×C₄	C₂×H(5,𝔽₂)	1	112	yes	—
1089	C₂²×C₄	C₂⁶	1	28	yes	—
1090	C₂²×C₄	C₂⁶	1	28	yes	—
1091	C₂²×C₄	C₂⁶	1	28	yes	—
1092	C₂²×C₄	C₂⁶	1	28	yes	—
1093	C₂²×C₄	C₂⁶	1	28	yes	—
1094	C₂²×C₄	C₂⁶	1	28	yes	—
1095	C₂²×C₄	C₂⁶	1	56	yes	—
1096	C₂²×C₄	C₂⁶	1	28	yes	—
1097	C₂²×C₄	C₂⁶	1	28	yes	—
1098	C₂²×C₄	C₂⁶	1	28	yes	—
1099	C₂²×C₄	C₂⁶	1	56	yes	—
1100	C₂²×C₄	C₂⁶	1	56	yes	—
1101	C₂²×C₄	C₂⁶	1	56	yes	—
1102	C₂²×C₄	C₂⁶	1	56	yes	—
1103	C₂²×C₄	C₂⁶	1	64	yes	—
1104	C₂²×C₄	C₂⁶	1	28	yes	—
1105	C₂²×C₄	C₂⁶	1	28	yes	—
1106	C₂²×C₄	C₂⁶	1	64	yes	—
1107	C₂²×C₄	C₂⁶	1	64	yes	—
1108	C₂²×C₄	C₂⁶	1	64	yes	—
1109	C₂²×C₄	C₂⁶	1	64	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	128	yes	—
1116	C₂²×C₄	C₂⁶	1	128	yes	—
1117	C₂²×C₄	C₂⁶	1	128	yes	—
1118	C₂²×C₄	C₂⁶	1	28	yes	—
1119	C₄⋊C₄	C₂⁶	1	64	yes	—
1120	C₄⋊C₄	C₂⁶	1	128	yes	—
1121	C₄⋊C₄	C₂⁶	1	128	yes	—
1122	C₄⋊C₄	C₂⁶	1	128	yes	—
1123	C₄⋊C₄	C₂⁶	1	64	yes	—
1124	C₄⋊C₄	C₂⁶	1	64	yes	—
1125	C₄⋊C₄	C₂⁶	1	64	yes	—
1126	C₄⋊C₄	C₂⁶	1	128	yes	—
1127	C₄⋊C₄	C₂⁶	1	64	yes	—
1128	C₄⋊C₄	C₂⁶	1	64	yes	—
1129	C₄⋊C₄	C₂⁶	1	128	yes	—
1130	C₄⋊C₄	C₂⁶	1	64	yes	—
1131	C₄⋊C₄	C₂⁶	1	64	yes	—
1132	C₄⋊C₄	C₂⁶	1	64	yes	—
1133	C₄⋊C₄	C₂⁶	1	64	yes	—
1134	C₄⋊C₄	C₂⁶	1	64	yes	—
1135	C₄⋊C₄	C₂⁶	1	128	yes	—
1136	C₄⋊C₄	C₂⁶	1	128	yes	—
1137	C₄⋊C₄	C₂⁶	1	128	yes	—
1138	C₄⋊C₄	C₂⁶	1	128	yes	—
1139	C₄⋊C₄	C₂⁶	1	128	yes	—
1140	C₄⋊C₄	C₂⁶	1	64	yes	—
1141	C₄⋊C₄	C₂⁶	1	128	yes	—
1142	C₄⋊C₄	C₂⁶	1	128	yes	—
1143	C₂²⋊C₄	C₂⁶	1	64	yes	—
1144	C₂²⋊C₄	C₂⁶	1	64	yes	—
1145	C₂²⋊C₄	C₂⁶	1	128	yes	—
1146	C₂²⋊C₄	C₂⁶	1	128	yes	—
1147	C₂²⋊C₄	C₂⁶	1	128	yes	—
1148	C₂²⋊C₄	C₂⁶	1	128	yes	—
1149	C₂²⋊C₄	C₂⁶	1	128	yes	—
1150	C₂²⋊C₄	C₂⁶	1	128	yes	—
1151	C₂²⋊C₄	C₂⁶	1	64	yes	—
1152	C₂²⋊C₄	C₂⁶	1	64	yes	—
1153	C₂²⋊C₄	C₂⁶	1	128	yes	—
1154	C₂²⋊C₄	C₂⁶	1	128	yes	—
1155	C₂²⋊C₄	C₂⁶	1	64	yes	—
1156	C₂²⋊C₄	C₂⁶	1	64	yes	—
1157	C₂²⋊C₄	C₂⁶	1	64	yes	—
1158	C₂²⋊C₄	C₂⁶	1	128	yes	—
1159	C₂²⋊C₄	C₂⁶	1	128	yes	—
1160	C₂²⋊C₄	C₂⁶	1	64	yes	—
1161	C₂²⋊C₄	C₂⁶	1	64	yes	—
1162	C₂²⋊C₄	C₂⁶	1	128	yes	—
1163	C₂²⋊C₄	C₂⁶	1	128	yes	—
1164	C₂²⋊C₄	C₂⁶	1	128	yes	—
1165	C₂²⋊C₄	C₂⁶	1	128	yes	—
1166	C₂²⋊C₄	C₂⁶	1	128	yes	—
1167	C₂²⋊C₄	C₂⁶	1	128	yes	—
1168	C₂²⋊C₄	C₂⁶	1	128	yes	—
1169	C₂²⋊C₄	C₂⁶	1	64	yes	—
1170	C₂²⋊C₄	C₂⁶	1	128	yes	—
1171	C₂²⋊C₄	C₂⁶	1	128	yes	—
1172	C₄²	C₂⁶	1	64	yes	—
1173	C₄²	C₂⁶	1	64	yes	—
1174	C₄²	C₂⁶	1	64	yes	—
1175	C₄²	C₂⁶	1	64	yes	—
1176	C₄²	C₂⁶	1	64	yes	—
1177	C₄²	C₂⁶	1	128	yes	—
1178	C₄²	C₂⁶	1	64	yes	—
1179	C₄²	C₂⁶	1	128	yes	—
1180	C₄²	C₂⁶	1	128	yes	—
1181	C₂³	—	2	56	no	—
1182	C₂³	—	2	56	no	—
1183	C₂³	—	2	56	no	—
1184	C₂³	—	2	112	no	—
1185	C₂³	—	2	112	no	—
1186	C₂³	—	2	112	no	—
1187	C₂³	—	2	56	no	—
1188	C₂³	—	2	56	no	—
1189	C₂³	—	2	112	no	—
1190	C₂³	—	2	112	no	—
1191	C₂³	—	2	112	no	—
1192	C₂³	—	2	56	no	—
1193	C₂³	—	2	56	no	—
1194	C₂³	—	2	112	no	—
1195	C₂³	—	2	112	no	—
1196	C₂³	—	2	112	no	—
1197	C₂³	—	2	56	no	—
1198	C₂³	—	2	56	no	—
1199	C₂³	—	4	128	no	—
1200	C₂³	—	4	128	no	—
1201	C₂³	—	4	128	no	—
1202	C₂³	—	4	224	no	—
1203	C₂³	—	4	224	no	—
1204	C₂³	—	4	448	no	—
1205	C₂³	—	4	448	no	—
1206	C₂³	—	4	448	no	—
1207	C₂³	—	4	224	no	—
1208	C₂³	—	8	1792	no	—
1209	C₂³	#3562	1	64	yes	direct product factor
1210	C₂³	C₂²×H(5,𝔽₂)	1	28	yes	—
1211	C₂³	C₂×#585	1	28	yes	—
1212	C₂³	C₂×#585	1	28	yes	—
1213	C₂³	C₂⁷	1	8	yes	—
1214	C₂³	C₂⁷	1	16	yes	—
1215	C₂³	C₂⁷	1	16	yes	—
1216	C₂³	C₂⁷	1	8	yes	—
1217	C₂³	C₂⁷	1	8	yes	—
1218	C₂³	C₂⁷	1	16	yes	—
1219	C₂³	C₂⁷	1	7	yes	—
1220	Q₈	—	2	128	no	—
1221	Q₈	—	2	128	no	—
1222	Q₈	—	2	128	no	—
1223	Q₈	—	4	128	no	—
1224	Q₈	—	4	64	no	—
1225	D₄	—	2	128	no	—
1226	D₄	—	2	128	no	—
1227	D₄	—	2	128	no	—
1228	D₄	—	4	128	no	—
1229	D₄	—	4	64	no	—
1230	D₄	—	4	128	no	—
1231	D₄	—	4	128	no	—
1232	D₄	—	4	128	no	—
1233	D₄	—	4	128	no	—
1234	D₄	—	4	128	no	—
1235	D₄	—	4	64	no	—
1236	D₄	—	4	128	no	—
1237	D₄	—	4	64	no	—
1238	D₄	—	4	128	no	—
1239	D₄	—	4	128	no	—
1240	D₄	—	4	128	no	—
1241	D₄	—	4	128	no	—
1242	D₄	—	4	128	no	—
1243	C₂×C₄	—	2	56	no	—
1244	C₂×C₄	—	2	56	no	—
1245	C₂×C₄	—	2	56	no	—
1246	C₂×C₄	—	2	112	no	—
1247	C₂×C₄	—	2	112	no	—
1248	C₂×C₄	—	2	112	no	—
1249	C₂×C₄	—	2	56	no	—
1250	C₂×C₄	—	2	112	no	—
1251	C₂×C₄	—	2	56	no	—
1252	C₂×C₄	—	2	56	no	—
1253	C₂×C₄	—	2	56	no	—
1254	C₂×C₄	—	2	112	no	—
1255	C₂×C₄	—	2	56	no	—
1256	C₂×C₄	—	2	56	no	—
1257	C₂×C₄	—	2	56	no	—
1258	C₂×C₄	—	2	56	no	—
1259	C₂×C₄	—	2	128	no	—
1260	C₂×C₄	—	2	128	no	—
1261	C₂×C₄	—	2	128	no	—
1262	C₂×C₄	—	4	128	no	—
1263	C₂×C₄	—	4	64	no	—
1264	C₂×C₄	—	4	128	no	—
1265	C₂×C₄	—	4	128	no	—
1266	C₂×C₄	—	4	64	no	—
1267	C₂×C₄	—	4	128	no	—
1268	C₂×C₄	—	4	128	no	—
1269	C₂×C₄	—	4	128	no	—
1270	C₂×C₄	—	4	128	no	—
1271	C₂×C₄	—	4	128	no	—
1272	C₂×C₄	C₂²×H(5,𝔽₂)	1	112	yes	—
1273	C₂×C₄	C₂⁷	1	8	yes	—
1274	C₂×C₄	C₂⁷	1	8	yes	—
1275	C₂×C₄	C₂⁷	1	8	yes	—
1276	C₂×C₄	C₂⁷	1	8	yes	—
1277	C₂×C₄	C₂⁷	1	8	yes	—
1278	C₂×C₄	C₂⁷	1	8	yes	—
1279	C₂×C₄	C₂⁷	1	16	yes	—
1280	C₂×C₄	C₂⁷	1	8	yes	—
1281	C₂×C₄	C₂⁷	1	8	yes	—
1282	C₂×C₄	C₂⁷	1	8	yes	—
1283	C₂×C₄	C₂⁷	1	16	yes	—
1284	C₂×C₄	C₂⁷	1	16	yes	—
1285	C₂×C₄	C₂⁷	1	16	yes	—
1286	C₂×C₄	C₂⁷	1	16	yes	—
1287	C₂×C₄	C₂⁷	1	8	yes	—
1288	C₂×C₄	C₂⁷	1	8	yes	—
1289	C₂×C₄	C₂⁷	1	8	yes	—
1290	C₂²	—	2	8	no	—
1291	C₂²	—	2	8	no	—
1292	C₂²	—	2	8	no	—
1293	C₂²	—	2	16	no	—
1294	C₂²	—	2	16	no	—
1295	C₂²	—	2	16	no	—
1296	C₂²	—	2	8	no	—
1297	C₂²	—	2	8	no	—
1298	C₂²	—	2	16	no	—
1299	C₂²	—	2	16	no	—
1300	C₂²	—	2	16	no	—
1301	C₂²	—	2	8	no	—
1302	C₂²	—	2	8	no	—
1303	C₂²	—	2	16	no	—
1304	C₂²	—	2	16	no	—
1305	C₂²	—	2	16	no	—
1306	C₂²	—	2	8	no	—
1307	C₂²	—	2	8	no	—
1308	C₂²	—	4	112	no	—
1309	C₂²	—	4	112	no	—
1310	C₂²	—	4	224	no	—
1311	C₂²	—	4	224	no	—
1312	C₂²	—	4	224	no	—
1313	C₂²	—	4	112	no	—
1314	C₂²	—	8	256	no	—
1315	C₂²	C₂×#3562	1	112	yes	direct product factor
1316	C₂²	C₂³×H(5,𝔽₂)	1	14	yes	—
1317	C₂²	C₂²×#585	1	14	yes	—
1318	C₂²	C₂²×#585	1	14	yes	—
1319	C₂²	C₂⁸	1	1	yes	characteristic
1320	C₄	—	2	8	no	—
1321	C₄	—	2	8	no	—
1322	C₄	—	2	8	no	—
1323	C₄	—	2	16	no	—
1324	C₄	—	2	16	no	—
1325	C₄	—	2	16	no	—
1326	C₄	—	2	8	no	—
1327	C₄	—	2	16	no	—
1328	C₄	—	2	8	no	—
1329	C₄	—	2	8	no	—
1330	C₄	—	2	8	no	—
1331	C₄	—	2	16	no	—
1332	C₄	—	2	8	no	—
1333	C₄	—	2	8	no	—
1334	C₄	—	2	8	no	—
1335	C₄	—	2	8	no	—
1336	C₄	C₂³×H(5,𝔽₂)	1	16	yes	—
1337	C₂	—	4	8	no	—
1338	C₂	—	4	8	no	—
1339	C₂	—	4	16	no	—
1340	C₂	—	4	16	no	—
1341	C₂	—	4	16	no	—
1342	C₂	—	4	8	no	—
1343	C₂	C₂²×#3562	1	28	yes	direct product factor
1344	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
1345	C₂	C₂³×#585	1	1	yes	characteristic
1346	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×#3562	C₂	direct (N × H)
2. C₂³×#562	C₂	semidirect
3. C₂³×#560	C₂	semidirect
4. C₂³×#559	C₂	semidirect
5. C₂³×#556	C₂	semidirect
6. C₂³×#553	C₂	semidirect
7. C₂³×#551	C₂	semidirect
8. C₂³×#550	C₂	semidirect
9. C₂³×#547	C₂	semidirect
10. C₂³×#548	C₂	semidirect
11. C₂³×#548	C₂	semidirect
12. C₂³×#546	C₂	semidirect
13. C₂³×#546	C₂	semidirect
14. C₂³×#541	C₂	semidirect
15. C₂³×#536	C₂	semidirect
16. C₂³×#540	C₂	semidirect
17. C₂³×#540	C₂	semidirect
18. C₂³×#535	C₂	semidirect
19. C₂³×#539	C₂	semidirect
20. C₂³×#538	C₂	semidirect
21. C₂³×#538	C₂	semidirect
22. C₂³×#532	C₂	semidirect
23. C₂³×#529	C₂	semidirect
24. C₂³×#529	C₂	semidirect
28. C₂⁴×#41	C₂²	semidirect
29. C₂⁵×Q₈	C₂²	semidirect
31. C₂×#3562	C₂²	direct (N × H)
32. C₂²×#559	C₂²	semidirect
33. C₂²×#556	C₂²	semidirect
34. C₂²×#553	C₂²	semidirect
35. C₂²×#551	C₂²	semidirect
36. C₂²×#550	C₂²	semidirect
37. C₂²×#547	C₂²	semidirect
38. C₂²×#548	C₂²	semidirect
39. C₂²×#548	C₂²	semidirect
40. C₂²×#546	C₂²	semidirect
41. C₂²×#546	C₂²	semidirect
42. C₂²×#562	C₂²	semidirect
43. C₂²×#560	C₂²	semidirect
44. C₂²×#541	C₂²	semidirect
45. C₂²×#536	C₂²	semidirect
46. C₂²×#540	C₂²	semidirect
47. C₂²×#540	C₂²	semidirect
48. C₂²×#535	C₂²	semidirect
49. C₂²×#539	C₂²	semidirect
50. C₂²×#538	C₂²	semidirect
51. C₂²×#538	C₂²	semidirect
52. C₂²×#532	C₂²	semidirect
53. C₂³×C₄⋊Q₈	C₂²	semidirect
54. C₂³×C₄⋊Q₈	C₂²	semidirect
57. C₂³×#127	C₂²	semidirect
58. C₂²×#529	C₂²	semidirect
59. C₂²×#529	C₂²	semidirect
63. C₂³×#126	C₂²	semidirect
64. C₂³×#126	C₂²	semidirect
65. C₂³×#126	C₂²	semidirect
66. C₂³×#126	C₂²	semidirect
67. C₂³×#125	C₂²	semidirect
68. C₂³×#125	C₂²	semidirect
69. C₂³×#125	C₂²	semidirect
70. C₂³×#125	C₂²	semidirect
77. C₂³×#124	C₂²	semidirect
78. C₂³×#124	C₂²	semidirect
79. C₂³×#124	C₂²	semidirect
84. C₂³×#123	C₂²	semidirect
85. C₂³×#123	C₂²	semidirect
86. C₂³×#123	C₂²	semidirect
87. C₂³×#123	C₂²	semidirect
88. C₂³×#123	C₂²	semidirect
89. C₂³×#123	C₂²	semidirect
90. C₂³×#123	C₂²	semidirect
91. C₂³×#123	C₂²	semidirect
92. C₂³×#123	C₂²	semidirect
95. C₂³×C₂²⋊Q₈	C₂²	semidirect
96. C₂³×C₂²⋊Q₈	C₂²	semidirect
97. C₂³×C₂²⋊Q₈	C₂²	semidirect
98. C₂³×C₂²⋊Q₈	C₂²	semidirect
99. C₂³×C₂²⋊Q₈	C₂²	semidirect
100. C₂³×C₂²⋊Q₈	C₂²	semidirect
101. C₂³×C₂²⋊Q₈	C₂²	semidirect
111. C₂³×#121	C₂²	semidirect
112. C₂³×#121	C₂²	semidirect
113. C₂³×#121	C₂²	semidirect
114. C₂³×#121	C₂²	semidirect
115. C₂³×#121	C₂²	semidirect
116. C₂³×#121	C₂²	semidirect
117. C₂³×#121	C₂²	semidirect
118. C₂³×#121	C₂²	semidirect
123. C₂³×C₄×Q₈	C₂²	semidirect
124. C₂³×C₄×Q₈	C₂²	semidirect
125. C₂³×C₄×Q₈	C₂²	semidirect
126. C₂³×C₄×Q₈	C₂²	semidirect
131. C₂³×C₄×D₄	C₂²	semidirect
132. C₂³×C₄×D₄	C₂²	semidirect
133. C₂³×C₄×D₄	C₂²	semidirect
134. C₂³×C₄×D₄	C₂²	semidirect
135. C₂³×C₄×D₄	C₂²	semidirect
136. C₂³×C₄×D₄	C₂²	semidirect
137. C₂³×C₄×D₄	C₂²	semidirect
138. C₂³×C₄×D₄	C₂²	semidirect
139. C₂³×C₄×D₄	C₂²	semidirect
141. C₂³×#117	C₂²	semidirect
142. C₂³×#117	C₂²	semidirect
143. C₂³×#117	C₂²	semidirect
144. C₂⁴×C₄⋊C₄	C₂²	semidirect
147. C₂⁴×C₄²	C₂²	semidirect
156. C₂³×#41	C₂³	semidirect
163. C₂⁴×Q₈	C₂³	semidirect
197. #3562	C₂³	direct (N × H)
198. C₂×#562	C₂³	semidirect
199. C₂×#560	C₂³	semidirect
200. C₂×#559	C₂³	semidirect
201. C₂×#556	C₂³	semidirect
202. C₂×#553	C₂³	semidirect
203. C₂×#551	C₂³	semidirect
204. C₂×#550	C₂³	semidirect
205. C₂×#548	C₂³	semidirect
206. C₂×#548	C₂³	semidirect
207. C₂×#547	C₂³	semidirect
208. C₂×#546	C₂³	semidirect
209. C₂×#546	C₂³	semidirect
210. C₂×#541	C₂³	semidirect
211. C₂×#540	C₂³	semidirect
212. C₂×#540	C₂³	semidirect
213. C₂×#539	C₂³	semidirect
214. C₂×#538	C₂³	semidirect
215. C₂×#538	C₂³	semidirect
216. C₂×#536	C₂³	semidirect
217. C₂×#535	C₂³	semidirect
218. C₂×#532	C₂³	semidirect
219. C₂²×C₄⋊Q₈	C₂³	semidirect
220. C₂²×C₄⋊Q₈	C₂³	semidirect
223. C₂²×#127	C₂³	semidirect
224. C₂×#529	C₂³	semidirect
225. C₂×#529	C₂³	semidirect
229. C₂²×#126	C₂³	semidirect
230. C₂²×#126	C₂³	semidirect
231. C₂²×#126	C₂³	semidirect
232. C₂²×#126	C₂³	semidirect
233. C₂²×#125	C₂³	semidirect
234. C₂²×#125	C₂³	semidirect
235. C₂²×#125	C₂³	semidirect
236. C₂²×#125	C₂³	semidirect
243. C₂²×#124	C₂³	semidirect
244. C₂²×#124	C₂³	semidirect
245. C₂²×#124	C₂³	semidirect
250. C₂²×#123	C₂³	semidirect
251. C₂²×#123	C₂³	semidirect
252. C₂²×#123	C₂³	semidirect
253. C₂²×#123	C₂³	semidirect
254. C₂²×#123	C₂³	semidirect
255. C₂²×#123	C₂³	semidirect
256. C₂²×#123	C₂³	semidirect
257. C₂²×#123	C₂³	semidirect
258. C₂²×#123	C₂³	semidirect
261. C₂²×C₂²⋊Q₈	C₂³	semidirect
262. C₂²×C₂²⋊Q₈	C₂³	semidirect
263. C₂²×C₂²⋊Q₈	C₂³	semidirect
264. C₂²×C₂²⋊Q₈	C₂³	semidirect
265. C₂²×C₂²⋊Q₈	C₂³	semidirect
266. C₂²×C₂²⋊Q₈	C₂³	semidirect
267. C₂²×C₂²⋊Q₈	C₂³	semidirect
277. C₂²×#121	C₂³	semidirect
278. C₂²×#121	C₂³	semidirect
279. C₂²×#121	C₂³	semidirect
280. C₂²×#121	C₂³	semidirect
281. C₂²×#121	C₂³	semidirect
282. C₂²×#121	C₂³	semidirect
283. C₂²×#121	C₂³	semidirect
284. C₂²×#121	C₂³	semidirect
289. C₂²×C₄×Q₈	C₂³	semidirect
290. C₂²×C₄×Q₈	C₂³	semidirect
291. C₂²×C₄×Q₈	C₂³	semidirect
292. C₂²×C₄×Q₈	C₂³	semidirect
297. C₂²×C₄×D₄	C₂³	semidirect
298. C₂²×C₄×D₄	C₂³	semidirect
299. C₂²×C₄×D₄	C₂³	semidirect
300. C₂²×C₄×D₄	C₂³	semidirect
301. C₂²×C₄×D₄	C₂³	semidirect
302. C₂²×C₄×D₄	C₂³	semidirect
303. C₂²×C₄×D₄	C₂³	semidirect
304. C₂²×C₄×D₄	C₂³	semidirect
305. C₂²×C₄×D₄	C₂³	semidirect
307. C₂²×#117	C₂³	semidirect
308. C₂²×#117	C₂³	semidirect
309. C₂²×#117	C₂³	semidirect
334. C₂³×C₄⋊C₄	C₂³	semidirect
375. C₂³×C₄²	C₂³	semidirect
393. C₂²×#41	C₂⁴	semidirect
405. C₂³×Q₈	C₂⁴	semidirect
487. #562	C₂⁴	semidirect
488. #560	C₂⁴	semidirect
489. #559	C₂⁴	semidirect
490. #556	C₂⁴	semidirect
491. #553	C₂⁴	semidirect
492. #551	C₂⁴	semidirect
493. #550	C₂⁴	semidirect
494. #548	C₂⁴	semidirect
495. #548	C₂⁴	semidirect
496. #547	C₂⁴	semidirect
497. #546	C₂⁴	semidirect
498. #546	C₂⁴	semidirect
499. #541	C₂⁴	semidirect
500. #540	C₂⁴	semidirect
501. #540	C₂⁴	semidirect
502. #539	C₂⁴	semidirect
503. #538	C₂⁴	semidirect
504. #538	C₂⁴	semidirect
505. #536	C₂⁴	semidirect
506. #535	C₂⁴	semidirect
507. #532	C₂⁴	semidirect
508. C₂×C₄⋊Q₈	C₂⁴	semidirect
509. C₂×C₄⋊Q₈	C₂⁴	semidirect
512. C₂×#127	C₂⁴	semidirect
513. #529	C₂⁴	semidirect
514. #529	C₂⁴	semidirect
518. C₂×#126	C₂⁴	semidirect
519. C₂×#126	C₂⁴	semidirect
520. C₂×#126	C₂⁴	semidirect
521. C₂×#126	C₂⁴	semidirect
522. C₂×#125	C₂⁴	semidirect
523. C₂×#125	C₂⁴	semidirect
524. C₂×#125	C₂⁴	semidirect
525. C₂×#125	C₂⁴	semidirect
532. C₂×#124	C₂⁴	semidirect
533. C₂×#124	C₂⁴	semidirect
534. C₂×#124	C₂⁴	semidirect
539. C₂×#123	C₂⁴	semidirect
540. C₂×#123	C₂⁴	semidirect
541. C₂×#123	C₂⁴	semidirect
542. C₂×#123	C₂⁴	semidirect
543. C₂×#123	C₂⁴	semidirect
544. C₂×#123	C₂⁴	semidirect
545. C₂×#123	C₂⁴	semidirect
546. C₂×#123	C₂⁴	semidirect
547. C₂×#123	C₂⁴	semidirect
550. C₂×C₂²⋊Q₈	C₂⁴	semidirect
551. C₂×C₂²⋊Q₈	C₂⁴	semidirect
552. C₂×C₂²⋊Q₈	C₂⁴	semidirect
553. C₂×C₂²⋊Q₈	C₂⁴	semidirect
554. C₂×C₂²⋊Q₈	C₂⁴	semidirect
555. C₂×C₂²⋊Q₈	C₂⁴	semidirect
556. C₂×C₂²⋊Q₈	C₂⁴	semidirect
566. C₂×#121	C₂⁴	semidirect
567. C₂×#121	C₂⁴	semidirect
568. C₂×#121	C₂⁴	semidirect
569. C₂×#121	C₂⁴	semidirect
570. C₂×#121	C₂⁴	semidirect
571. C₂×#121	C₂⁴	semidirect
572. C₂×#121	C₂⁴	semidirect
573. C₂×#121	C₂⁴	semidirect
578. C₂×C₄×Q₈	C₂⁴	semidirect
579. C₂×C₄×Q₈	C₂⁴	semidirect
580. C₂×C₄×Q₈	C₂⁴	semidirect
581. C₂×C₄×Q₈	C₂⁴	semidirect
586. C₂×C₄×D₄	C₂⁴	semidirect
587. C₂×C₄×D₄	C₂⁴	semidirect
588. C₂×C₄×D₄	C₂⁴	semidirect
589. C₂×C₄×D₄	C₂⁴	semidirect
590. C₂×C₄×D₄	C₂⁴	semidirect
591. C₂×C₄×D₄	C₂⁴	semidirect
592. C₂×C₄×D₄	C₂⁴	semidirect
593. C₂×C₄×D₄	C₂⁴	semidirect
594. C₂×C₄×D₄	C₂⁴	semidirect
596. C₂×#117	C₂⁴	semidirect
597. C₂×#117	C₂⁴	semidirect
598. C₂×#117	C₂⁴	semidirect
623. C₂²×C₄⋊C₄	C₂⁴	semidirect
664. C₂²×C₄²	C₂⁴	semidirect
702. C₂×#41	C₂⁵	semidirect
714. C₂²×Q₈	C₂⁵	semidirect
813. C₄⋊Q₈	C₂⁵	semidirect
814. C₄⋊Q₈	C₂⁵	semidirect
817. #127	C₂⁵	semidirect
821. #126	C₂⁵	semidirect
822. #126	C₂⁵	semidirect
823. #126	C₂⁵	semidirect
824. #126	C₂⁵	semidirect
825. #125	C₂⁵	semidirect
826. #125	C₂⁵	semidirect
827. #125	C₂⁵	semidirect
828. #125	C₂⁵	semidirect
835. #124	C₂⁵	semidirect
836. #124	C₂⁵	semidirect
837. #124	C₂⁵	semidirect
842. #123	C₂⁵	semidirect
843. #123	C₂⁵	semidirect
844. #123	C₂⁵	semidirect
845. #123	C₂⁵	semidirect
846. #123	C₂⁵	semidirect
847. #123	C₂⁵	semidirect
848. #123	C₂⁵	semidirect
849. #123	C₂⁵	semidirect
850. #123	C₂⁵	semidirect
853. C₂²⋊Q₈	C₂⁵	semidirect
854. C₂²⋊Q₈	C₂⁵	semidirect
855. C₂²⋊Q₈	C₂⁵	semidirect
856. C₂²⋊Q₈	C₂⁵	semidirect
857. C₂²⋊Q₈	C₂⁵	semidirect
858. C₂²⋊Q₈	C₂⁵	semidirect
859. C₂²⋊Q₈	C₂⁵	semidirect
869. #121	C₂⁵	semidirect
870. #121	C₂⁵	semidirect
871. #121	C₂⁵	semidirect
872. #121	C₂⁵	semidirect
873. #121	C₂⁵	semidirect
874. #121	C₂⁵	semidirect
875. #121	C₂⁵	semidirect
876. #121	C₂⁵	semidirect
881. C₄×Q₈	C₂⁵	semidirect
882. C₄×Q₈	C₂⁵	semidirect
883. C₄×Q₈	C₂⁵	semidirect
884. C₄×Q₈	C₂⁵	semidirect
889. C₄×D₄	C₂⁵	semidirect
890. C₄×D₄	C₂⁵	semidirect
891. C₄×D₄	C₂⁵	semidirect
892. C₄×D₄	C₂⁵	semidirect
893. C₄×D₄	C₂⁵	semidirect
894. C₄×D₄	C₂⁵	semidirect
895. C₄×D₄	C₂⁵	semidirect
896. C₄×D₄	C₂⁵	semidirect
897. C₄×D₄	C₂⁵	semidirect
899. #117	C₂⁵	semidirect
900. #117	C₂⁵	semidirect
901. #117	C₂⁵	semidirect
926. C₂×C₄⋊C₄	C₂⁵	semidirect
967. C₂×C₄²	C₂⁵	semidirect
1209. C₂³	#3562	direct (N × H)
1315. C₂²	C₂×#3562	direct (N × H)
1343. C₂	C₂²×#3562	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×#3562	2
C₂³×#562	2
C₂³×#560	2
C₂³×#559	2
C₂³×#556	2
C₂³×#553	2
C₂³×#551	2
C₂³×#550	2
C₂³×#547	2
C₂³×#548	2
C₂³×#546	2
C₂³×#541	2
C₂³×#536	2
C₂³×#540	2
C₂³×#535	2
C₂³×#539	2
C₂³×#538	2
C₂³×#532	2
C₂³×#529	2

Subgroups — C23×#3562 #72325000

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂³×#3562 #72325000