Subgroups — C₂²×#62874 #72301079

Order 1024.

481989 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#62874	C₂	1	192	yes	maximal, direct product factor
2	C₂²×#3549	C₂	1	4	yes	maximal, complemented
3	C₂²×#3545	C₂	1	4	yes	maximal, complemented
4	C₂²×#3546	C₂	1	8	yes	maximal, complemented
5	C₂²×#3543	C₂	1	4	yes	maximal, complemented
6	C₂²×#3551	C₂	1	4	yes	maximal, complemented
7	C₂²×#3540	C₂	1	4	yes	maximal, complemented
8	C₂²×#3537	C₂	1	4	yes	maximal, complemented
9	C₂²×#3542	C₂	1	8	yes	maximal, complemented
10	C₂²×#3532	C₂	1	8	yes	maximal, complemented
11	C₂²×#3494	C₂	1	4	yes	maximal, complemented
12	C₂²×#3488	C₂	1	4	yes	maximal, complemented
13	C₂²×#3493	C₂	1	2	yes	maximal, complemented
14	C₂²×#3484	C₂	1	2	yes	maximal, complemented
15	C₂²×#3449	C₂	1	2	yes	maximal, complemented
16	C₂³×#535	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂³×H(5,𝔽₂)	C₂²	1	2	yes	complemented
18	C₂⁴×#41	C₂²	1	1	yes	characteristic, complemented
19	C₂⁴×#41	C₂²	1	2	yes	complemented
20	C₂⁵×D₄	C₂²	1	1	yes	characteristic, complemented
21	#62874	C₂²	1	4096	yes	direct product factor
22	C₂×#3494	C₂²	1	384	yes	complemented
23	C₂×#3488	C₂²	1	384	yes	complemented
24	C₂×#3493	C₂²	1	192	yes	complemented
25	C₂×#3484	C₂²	1	192	yes	complemented
26	C₂×#3549	C₂²	1	384	yes	complemented
27	C₂×#3545	C₂²	1	384	yes	complemented
28	C₂×#3546	C₂²	1	768	yes	complemented
29	C₂×#3543	C₂²	1	384	yes	complemented
30	C₂×#3551	C₂²	1	384	yes	complemented
31	C₂×#3540	C₂²	1	384	yes	complemented
32	C₂×#3537	C₂²	1	384	yes	complemented
33	C₂×#3542	C₂²	1	768	yes	complemented
34	C₂×#3532	C₂²	1	768	yes	complemented
35	C₂²×#559	C₂²	1	4	yes	complemented
36	C₂²×#555	C₂²	1	8	yes	complemented
37	C₂²×#555	C₂²	1	8	yes	complemented
38	C₂²×#555	C₂²	1	8	yes	complemented
39	C₂²×#556	C₂²	1	8	yes	complemented
40	C₂²×#553	C₂²	1	8	yes	complemented
41	C₂²×#553	C₂²	1	8	yes	complemented
42	C₂²×#553	C₂²	1	8	yes	complemented
43	C₂²×#552	C₂²	1	8	yes	complemented
44	C₂²×#551	C₂²	1	16	yes	complemented
45	C₂²×#551	C₂²	1	8	yes	complemented
46	C₂²×#551	C₂²	1	8	yes	complemented
47	C₂²×#550	C₂²	1	8	yes	complemented
48	C₂²×#550	C₂²	1	8	yes	complemented
49	C₂²×#547	C₂²	1	8	yes	complemented
50	C₂²×#548	C₂²	1	8	yes	complemented
51	C₂²×#546	C₂²	1	8	yes	complemented
52	C₂²×#546	C₂²	1	8	yes	complemented
53	C₂²×#546	C₂²	1	16	yes	complemented
54	C₂²×#546	C₂²	1	16	yes	complemented
55	C₂²×#546	C₂²	1	16	yes	complemented
56	C₂²×#546	C₂²	1	8	yes	complemented
57	C₂²×D₄²	C₂²	1	8	yes	complemented
58	C₂²×D₄²	C₂²	1	8	yes	complemented
59	C₂²×D₄²	C₂²	1	16	yes	complemented
60	C₂²×D₄²	C₂²	1	8	yes	complemented
61	C₂²×D₄²	C₂²	1	8	yes	complemented
62	C₂²×D₄²	C₂²	1	4	yes	complemented
63	C₂²×#563	C₂²	1	4	yes	complemented
64	C₂²×#562	C₂²	1	8	yes	complemented
65	C₂²×H(3,𝔽₄)	C₂²	1	8	yes	complemented
66	C₂²×H(3,𝔽₄)	C₂²	1	4	yes	complemented
67	C₂²×#560	C₂²	1	16	yes	complemented
68	C₂²×#560	C₂²	1	8	yes	complemented
69	C₂²×#560	C₂²	1	8	yes	complemented
70	C₂²×#560	C₂²	1	8	yes	complemented
71	C₂×#3449	C₂²	1	192	yes	complemented
72	C₂²×#536	C₂²	1	4	yes	complemented
73	C₂²×#536	C₂²	1	2	yes	complemented
74	C₂²×#536	C₂²	1	2	yes	complemented
75	C₂²×#542	C₂²	1	8	yes	complemented
76	C₂²×#542	C₂²	1	16	yes	complemented
77	C₂²×#540	C₂²	1	8	yes	complemented
78	C₂²×#540	C₂²	1	16	yes	complemented
79	C₂²×#544	C₂²	1	2	yes	complemented
80	C₂²×#537	C₂²	1	2	yes	complemented
81	C₂²×#537	C₂²	1	4	yes	complemented
82	C₂²×#537	C₂²	1	4	yes	complemented
83	C₂²×#537	C₂²	1	8	yes	complemented
84	C₂²×#535	C₂²	1	4	yes	complemented
85	C₂²×#535	C₂²	1	4	yes	complemented
86	C₂²×#535	C₂²	1	4	yes	complemented
87	C₂²×#535	C₂²	1	4	yes	complemented
88	C₂²×#535	C₂²	1	4	yes	complemented
89	C₂²×#535	C₂²	1	4	yes	complemented
90	C₂²×#535	C₂²	1	16	yes	complemented
91	C₂²×#535	C₂²	1	8	yes	complemented
92	C₂²×#535	C₂²	1	2	yes	complemented
93	C₂²×#535	C₂²	1	2	yes	complemented
94	C₂²×#535	C₂²	1	16	yes	complemented
95	C₂²×#535	C₂²	1	96	yes	complemented
96	C₂²×#538	C₂²	1	8	yes	complemented
97	C₂²×#538	C₂²	1	16	yes	complemented
98	C₂²×#538	C₂²	1	16	yes	complemented
99	C₂²×#538	C₂²	1	16	yes	complemented
100	C₂²×#534	C₂²	1	4	yes	complemented
101	C₂²×#534	C₂²	1	8	yes	complemented
102	C₂²×#534	C₂²	1	4	yes	complemented
103	C₂²×#534	C₂²	1	16	yes	complemented
104	C₂²×#532	C₂²	1	4	yes	complemented
105	C₂²×#532	C₂²	1	4	yes	complemented
106	C₂²×#532	C₂²	1	8	yes	complemented
107	C₂³×#127	C₂²	1	2	yes	complemented
108	C₂²×#529	C₂²	1	8	yes	complemented
109	C₂²×#529	C₂²	1	8	yes	complemented
110	C₂³×#124	C₂²	1	2	yes	complemented
111	C₂²×#525	C₂²	1	4	yes	complemented
112	C₂²×#525	C₂²	1	4	yes	complemented
113	C₂²×#525	C₂²	1	4	yes	complemented
114	C₂²×#525	C₂²	1	4	yes	complemented
115	C₂²×#525	C₂²	1	8	yes	complemented
116	C₂³×#121	C₂²	1	4	yes	complemented
117	C₂³×#121	C₂²	1	8	yes	complemented
118	C₂³×#120	C₂²	1	4	yes	complemented
119	C₂³×#120	C₂²	1	8	yes	complemented
120	C₂²×#520	C₂²	1	4	yes	complemented
121	C₂²×#518	C₂²	1	2	yes	complemented
122	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
123	C₂³×#117	C₂²	1	2	yes	complemented
124	C₂⁷	C₂³	1	2	yes	—
125	C₂²×H(5,𝔽₂)	—	4	32	no	—
126	C₂²×H(5,𝔽₂)	C₂³	1	96	yes	complemented
127	C₂³×#41	—	4	16	no	—
128	C₂³×#41	—	4	32	no	—
129	C₂³×#41	C₂³	1	4	yes	—
130	C₂³×#41	C₂³	1	2	yes	—
131	C₂³×#41	C₂³	1	2	yes	—
132	C₂³×#41	C₂³	1	2	yes	—
133	C₂³×#41	C₂³	1	2	yes	—
134	C₂³×#41	C₂³	1	4	yes	—
135	C₂³×#41	C₂³	1	8	yes	—
136	C₂³×#41	C₂³	1	48	yes	complemented
137	C₂³×#41	C₂³	1	4	yes	complemented
138	C₂³×#41	C₂³	1	4	yes	complemented
139	C₂³×#41	C₂³	1	16	yes	complemented
140	C₂³×#41	C₂³	1	96	yes	complemented
141	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
142	C₂⁴×Q₈	C₂³	1	2	yes	complemented
143	C₂⁴×D₄	—	4	16	no	—
144	C₂⁴×D₄	C₂³	1	2	yes	—
145	C₂⁴×D₄	C₂³	1	2	yes	—
146	C₂⁴×D₄	C₂³	1	4	yes	—
147	C₂⁴×D₄	C₂³	1	4	yes	—
148	C₂⁴×D₄	C₂³	1	2	yes	—
149	C₂⁴×D₄	C₂³	1	1	yes	characteristic
150	C₂⁴×D₄	C₂³	1	4	yes	—
151	C₂⁴×D₄	C₂³	1	8	yes	—
152	C₂⁴×D₄	C₂³	1	8	yes	—
153	C₂⁴×D₄	C₂³	1	8	yes	—
154	C₂⁴×D₄	C₂³	1	16	yes	—
155	C₂⁴×D₄	C₂³	1	48	yes	complemented
156	C₂⁴×D₄	C₂³	1	2	yes	complemented
157	C₂⁴×D₄	C₂³	1	16	yes	complemented
158	C₂⁵×C₄	C₂³	1	1	yes	characteristic
159	C₂⁵×C₄	C₂³	1	2	yes	—
160	C₂⁵×C₄	C₂³	1	4	yes	complemented
161	#3551	C₂³	1	4096	yes	complemented
162	#3549	C₂³	1	4096	yes	complemented
163	#3546	C₂³	1	8192	yes	complemented
164	#3545	C₂³	1	4096	yes	complemented
165	#3543	C₂³	1	4096	yes	complemented
166	#3542	C₂³	1	8192	yes	complemented
167	#3540	C₂³	1	4096	yes	complemented
168	#3537	C₂³	1	4096	yes	complemented
169	#3532	C₂³	1	8192	yes	complemented
170	C₂×#563	C₂³	1	192	yes	complemented
171	C₂×#562	C₂³	1	384	yes	complemented
172	C₂×H(3,𝔽₄)	C₂³	1	384	yes	complemented
173	C₂×H(3,𝔽₄)	C₂³	1	192	yes	complemented
174	C₂×#560	C₂³	1	768	yes	complemented
175	C₂×#560	C₂³	1	384	yes	complemented
176	C₂×#560	C₂³	1	384	yes	complemented
177	C₂×#560	C₂³	1	384	yes	complemented
178	#3494	C₂³	1	4096	yes	complemented
179	#3493	C₂³	1	2048	yes	complemented
180	#3488	C₂³	1	4096	yes	complemented
181	#3484	C₂³	1	2048	yes	complemented
182	C₂×#559	C₂³	1	192	yes	complemented
183	C₂×#556	C₂³	1	384	yes	complemented
184	C₂×#555	C₂³	1	384	yes	complemented
185	C₂×#555	C₂³	1	384	yes	complemented
186	C₂×#555	C₂³	1	384	yes	complemented
187	C₂×#553	C₂³	1	384	yes	complemented
188	C₂×#553	C₂³	1	384	yes	complemented
189	C₂×#553	C₂³	1	384	yes	complemented
190	C₂×#552	C₂³	1	384	yes	complemented
191	C₂×#551	C₂³	1	768	yes	complemented
192	C₂×#551	C₂³	1	384	yes	complemented
193	C₂×#551	C₂³	1	384	yes	complemented
194	C₂×#550	C₂³	1	384	yes	complemented
195	C₂×#550	C₂³	1	384	yes	complemented
196	C₂×#548	C₂³	1	384	yes	complemented
197	C₂×#547	C₂³	1	384	yes	complemented
198	C₂×#546	C₂³	1	384	yes	complemented
199	C₂×#546	C₂³	1	384	yes	complemented
200	C₂×#546	C₂³	1	768	yes	complemented
201	C₂×#546	C₂³	1	768	yes	complemented
202	C₂×#546	C₂³	1	768	yes	complemented
203	C₂×#546	C₂³	1	384	yes	complemented
204	C₂×D₄²	C₂³	1	384	yes	complemented
205	C₂×D₄²	C₂³	1	384	yes	complemented
206	C₂×D₄²	C₂³	1	768	yes	complemented
207	C₂×D₄²	C₂³	1	384	yes	complemented
208	C₂×D₄²	C₂³	1	192	yes	complemented
209	C₂×D₄²	C₂³	1	384	yes	complemented
210	C₂×#544	C₂³	1	96	yes	complemented
211	C₂×#542	C₂³	1	384	yes	complemented
212	C₂×#542	C₂³	1	768	yes	complemented
213	C₂×#540	C₂³	1	384	yes	complemented
214	C₂×#540	C₂³	1	768	yes	complemented
215	C₂×#538	C₂³	1	384	yes	complemented
216	C₂×#538	C₂³	1	768	yes	complemented
217	C₂×#538	C₂³	1	768	yes	complemented
218	C₂×#538	C₂³	1	768	yes	complemented
219	#3449	C₂³	1	2048	yes	complemented
220	C₂×#537	C₂³	1	96	yes	complemented
221	C₂×#537	C₂³	1	192	yes	complemented
222	C₂×#537	C₂³	1	192	yes	complemented
223	C₂×#537	C₂³	1	384	yes	complemented
224	C₂×#536	C₂³	1	192	yes	complemented
225	C₂×#536	C₂³	1	96	yes	complemented
226	C₂×#536	C₂³	1	96	yes	complemented
227	C₂×#535	C₂³	1	192	yes	complemented
228	C₂×#535	C₂³	1	192	yes	complemented
229	C₂×#535	C₂³	1	192	yes	complemented
230	C₂×#535	C₂³	1	192	yes	complemented
231	C₂×#535	C₂³	1	192	yes	complemented
232	C₂×#535	C₂³	1	192	yes	complemented
233	C₂×#535	C₂³	1	768	yes	complemented
234	C₂×#535	C₂³	1	96	yes	complemented
235	C₂×#535	C₂³	1	96	yes	complemented
236	C₂×#535	C₂³	1	768	yes	complemented
237	C₂×#535	C₂³	1	384	yes	complemented
238	C₂×#535	C₂³	1	1024	yes	complemented
239	C₂×#534	C₂³	1	384	yes	complemented
240	C₂×#534	C₂³	1	192	yes	complemented
241	C₂×#534	C₂³	1	192	yes	complemented
242	C₂×#534	C₂³	1	768	yes	complemented
243	C₂×#532	C₂³	1	192	yes	complemented
244	C₂×#532	C₂³	1	192	yes	complemented
245	C₂×#532	C₂³	1	384	yes	complemented
246	C₂²×C₄⋊Q₈	C₂³	1	8	yes	complemented
247	C₂²×C₄⋊Q₈	C₂³	1	4	yes	complemented
248	C₂²×C₄⋊Q₈	C₂³	1	4	yes	complemented
249	C₂²×#127	C₂³	1	8	yes	—
250	C₂²×#127	C₂³	1	4	yes	—
251	C₂²×#127	C₂³	1	4	yes	—
252	C₂²×#127	C₂³	1	4	yes	—
253	C₂²×#127	C₂³	1	4	yes	—
254	C₂²×#127	C₂³	1	8	yes	—
255	C₂²×#127	C₂³	1	96	yes	complemented
256	C₂²×#127	C₂³	1	16	yes	complemented
257	C₂×#529	C₂³	1	384	yes	complemented
258	C₂×#529	C₂³	1	384	yes	complemented
259	C₂²×#126	C₂³	1	16	yes	—
260	C₂²×#126	C₂³	1	16	yes	complemented
261	C₂²×#126	C₂³	1	16	yes	complemented
262	C₂²×#126	C₂³	1	16	yes	complemented
263	C₂²×#125	C₂³	1	8	yes	complemented
264	C₂²×#125	C₂³	1	8	yes	complemented
265	C₂²×#124	C₂³	1	8	yes	—
266	C₂²×#124	C₂³	1	4	yes	—
267	C₂²×#124	C₂³	1	4	yes	—
268	C₂²×#124	C₂³	1	8	yes	—
269	C₂²×#124	C₂³	1	4	yes	—
270	C₂²×#124	C₂³	1	4	yes	—
271	C₂²×#124	C₂³	1	16	yes	—
272	C₂²×#124	C₂³	1	96	yes	complemented
273	C₂²×#124	C₂³	1	8	yes	complemented
274	C₂²×#124	C₂³	1	4	yes	complemented
275	C₂²×#124	C₂³	1	16	yes	complemented
276	C₂²×#124	C₂³	1	4	yes	complemented
277	C₂²×#124	C₂³	1	16	yes	complemented
278	C₂²×#124	C₂³	1	16	yes	complemented
279	C₂×#525	C₂³	1	192	yes	complemented
280	C₂×#525	C₂³	1	192	yes	complemented
281	C₂×#525	C₂³	1	192	yes	complemented
282	C₂×#525	C₂³	1	192	yes	complemented
283	C₂×#525	C₂³	1	384	yes	complemented
284	C₂²×#123	C₂³	1	8	yes	—
285	C₂²×#123	C₂³	1	4	yes	—
286	C₂²×#123	C₂³	1	4	yes	—
287	C₂²×#123	C₂³	1	8	yes	—
288	C₂²×#123	C₂³	1	16	yes	—
289	C₂²×#123	C₂³	1	8	yes	—
290	C₂²×#123	C₂³	1	8	yes	—
291	C₂²×#123	C₂³	1	4	yes	complemented
292	C₂²×#123	C₂³	1	4	yes	complemented
293	C₂²×#123	C₂³	1	16	yes	complemented
294	C₂²×#123	C₂³	1	16	yes	complemented
295	C₂²×#123	C₂³	1	16	yes	complemented
296	C₂²×#123	C₂³	1	16	yes	complemented
297	C₂²×#123	C₂³	1	16	yes	complemented
298	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
299	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	complemented
302	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	complemented
303	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
304	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
305	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
306	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	complemented
307	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	complemented
308	C₂²×#121	C₂³	1	8	yes	—
309	C₂²×#121	C₂³	1	8	yes	—
310	C₂²×#121	C₂³	1	8	yes	—
311	C₂²×#121	C₂³	1	8	yes	—
312	C₂²×#121	C₂³	1	8	yes	—
313	C₂²×#121	C₂³	1	8	yes	—
314	C₂²×#121	C₂³	1	8	yes	—
315	C₂²×#121	C₂³	1	8	yes	—
316	C₂²×#121	C₂³	1	4	yes	—
317	C₂²×#121	C₂³	1	4	yes	—
318	C₂²×#121	C₂³	1	8	yes	—
319	C₂²×#121	C₂³	1	8	yes	—
320	C₂²×#121	C₂³	1	8	yes	—
321	C₂²×#121	C₂³	1	16	yes	—
322	C₂²×#121	C₂³	1	16	yes	—
323	C₂²×#121	C₂³	1	16	yes	—
324	C₂²×#121	C₂³	1	192	yes	complemented
325	C₂²×#121	C₂³	1	4	yes	complemented
326	C₂²×#121	C₂³	1	16	yes	complemented
327	C₂²×#121	C₂³	1	16	yes	complemented
328	C₂²×#121	C₂³	1	8	yes	complemented
329	C₂²×#121	C₂³	1	4	yes	complemented
330	C₂²×#121	C₂³	1	8	yes	complemented
331	C₂²×#121	C₂³	1	8	yes	complemented
332	C₂²×#121	C₂³	1	16	yes	complemented
333	C₂²×#121	C₂³	1	16	yes	complemented
334	C₂²×#121	C₂³	1	16	yes	complemented
335	C₂²×#121	C₂³	1	16	yes	complemented
336	C₂²×#121	C₂³	1	16	yes	complemented
337	C₂²×#121	C₂³	1	16	yes	complemented
338	C₂²×#121	C₂³	1	384	yes	complemented
339	C₂²×#120	C₂³	1	8	yes	—
340	C₂²×#120	C₂³	1	8	yes	—
341	C₂²×#120	C₂³	1	16	yes	—
342	C₂²×#120	C₂³	1	16	yes	—
343	C₂²×#120	C₂³	1	8	yes	—
344	C₂²×#120	C₂³	1	16	yes	—
345	C₂²×#120	C₂³	1	8	yes	—
346	C₂²×#120	C₂³	1	8	yes	—
347	C₂²×#120	C₂³	1	4	yes	—
348	C₂²×#120	C₂³	1	4	yes	—
349	C₂²×#120	C₂³	1	8	yes	—
350	C₂²×#120	C₂³	1	8	yes	—
351	C₂²×#120	C₂³	1	8	yes	—
352	C₂²×#120	C₂³	1	384	yes	complemented
353	C₂²×#120	C₂³	1	192	yes	complemented
354	C₂²×#120	C₂³	1	4	yes	complemented
355	C₂²×#120	C₂³	1	4	yes	complemented
356	C₂²×#120	C₂³	1	16	yes	complemented
357	C₂²×#120	C₂³	1	16	yes	complemented
358	C₂²×#120	C₂³	1	16	yes	complemented
359	C₂×#520	C₂³	1	192	yes	complemented
360	C₂×#518	C₂³	1	96	yes	complemented
361	C₂²×C₄×Q₈	C₂³	1	8	yes	complemented
362	C₂²×C₄×Q₈	C₂³	1	8	yes	complemented
363	C₂²×C₄×D₄	C₂³	1	8	yes	—
364	C₂²×C₄×D₄	C₂³	1	8	yes	—
365	C₂²×C₄×D₄	C₂³	1	16	yes	—
366	C₂²×C₄×D₄	C₂³	1	8	yes	—
367	C₂²×C₄×D₄	C₂³	1	8	yes	—
368	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
369	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
370	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
371	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
372	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
373	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
374	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
375	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
376	C₂²×#117	C₂³	1	4	yes	—
377	C₂²×#117	C₂³	1	4	yes	—
378	C₂²×#117	C₂³	1	4	yes	—
379	C₂²×#117	C₂³	1	4	yes	—
380	C₂²×#117	C₂³	1	48	yes	complemented
381	C₂²×#117	C₂³	1	4	yes	complemented
382	C₂²×#117	C₂³	1	2	yes	complemented
383	C₂²×#117	C₂³	1	2	yes	complemented
384	C₂²×#117	C₂³	1	8	yes	complemented
385	C₂²×#117	C₂³	1	16	yes	complemented
386	C₂²×#117	C₂³	1	16	yes	complemented
387	C₂²×#117	C₂³	1	96	yes	complemented
388	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
389	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
390	C₂³×C₄⋊C₄	C₂³	1	8	yes	complemented
391	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
392	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
393	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
394	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
395	C₂³×C₂²⋊C₄	C₂³	1	16	yes	—
396	C₂³×C₂²⋊C₄	C₂³	1	16	yes	complemented
397	C₂³×C₄²	C₂³	1	2	yes	—
398	C₂³×C₄²	C₂³	1	4	yes	complemented
399	C₂⁶	—	4	16	no	—
400	C₂⁶	—	8	16	no	—
401	C₂⁶	C₂⁴	1	2	yes	—
402	C₂⁶	C₂⁴	1	1	yes	characteristic
403	C₂⁶	C₂⁴	1	4	yes	—
404	C₂⁶	C₂⁴	1	4	yes	—
405	C₂⁶	C₂⁴	1	8	yes	—
406	C₂⁶	C₂⁴	1	8	yes	—
407	C₂⁶	C₂⁴	1	48	yes	—
408	C₂×H(5,𝔽₂)	—	4	768	no	—
409	C₂×H(5,𝔽₂)	C₂⁴	1	512	yes	complemented
410	C₂²×#41	—	2	64	no	—
411	C₂²×#41	—	4	16	no	—
412	C₂²×#41	—	4	16	no	—
413	C₂²×#41	—	4	16	no	—
414	C₂²×#41	—	4	16	no	—
415	C₂²×#41	—	4	384	no	—
416	C₂²×#41	—	4	32	no	—
417	C₂²×#41	—	4	32	no	—
418	C₂²×#41	—	4	32	no	—
419	C₂²×#41	—	4	64	no	—
420	C₂²×#41	—	4	768	no	—
421	C₂²×#41	—	8	64	no	—
422	C₂²×#41	C₂⁴	1	96	yes	—
423	C₂²×#41	C₂⁴	1	48	yes	—
424	C₂²×#41	C₂⁴	1	48	yes	—
425	C₂²×#41	C₂⁴	1	48	yes	—
426	C₂²×#41	C₂⁴	1	48	yes	—
427	C₂²×#41	C₂⁴	1	96	yes	—
428	C₂²×#41	C₂⁴	1	192	yes	—
429	C₂²×#41	C₂⁴	1	256	yes	complemented
430	C₂²×#41	C₂⁴	1	96	yes	complemented
431	C₂²×#41	C₂⁴	1	96	yes	complemented
432	C₂²×#41	C₂⁴	1	384	yes	complemented
433	C₂²×#41	C₂⁴	1	512	yes	complemented
434	C₂³×Q₈	—	4	8	no	—
435	C₂³×Q₈	—	4	16	no	—
436	C₂³×Q₈	C₂⁴	1	4	yes	—
437	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
438	C₂³×Q₈	C₂⁴	1	2	yes	—
439	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
440	C₂³×Q₈	C₂⁴	1	24	yes	—
441	C₂³×Q₈	C₂⁴	1	4	yes	—
442	C₂³×Q₈	C₂⁴	1	8	yes	—
443	C₂³×Q₈	C₂⁴	1	48	yes	complemented
444	C₂³×D₄	—	2	32	no	—
445	C₂³×D₄	—	4	32	no	—
446	C₂³×D₄	—	4	32	no	—
447	C₂³×D₄	—	4	384	no	—
448	C₂³×D₄	—	4	64	no	—
449	C₂³×D₄	—	4	16	no	—
450	C₂³×D₄	—	4	16	no	—
451	C₂³×D₄	—	4	8	no	—
452	C₂³×D₄	—	4	16	no	—
453	C₂³×D₄	—	4	32	no	—
454	C₂³×D₄	—	4	64	no	—
455	C₂³×D₄	—	8	32	no	—
456	C₂³×D₄	—	8	64	no	—
457	C₂³×D₄	—	8	64	no	—
458	C₂³×D₄	C₂⁴	1	8	yes	—
459	C₂³×D₄	C₂⁴	1	8	yes	—
460	C₂³×D₄	C₂⁴	1	4	yes	—
461	C₂³×D₄	C₂⁴	1	48	yes	—
462	C₂³×D₄	C₂⁴	1	4	yes	—
463	C₂³×D₄	C₂⁴	1	4	yes	—
464	C₂³×D₄	C₂⁴	1	16	yes	—
465	C₂³×D₄	C₂⁴	1	8	yes	—
466	C₂³×D₄	C₂⁴	1	8	yes	—
467	C₂³×D₄	C₂⁴	1	48	yes	—
468	C₂³×D₄	C₂⁴	1	96	yes	—
469	C₂³×D₄	C₂⁴	1	96	yes	—
470	C₂³×D₄	C₂⁴	1	16	yes	—
471	C₂³×D₄	C₂⁴	1	16	yes	—
472	C₂³×D₄	C₂⁴	1	2	yes	—
473	C₂³×D₄	C₂⁴	1	2	yes	—
474	C₂³×D₄	C₂⁴	1	2	yes	—
475	C₂³×D₄	C₂⁴	1	2	yes	—
476	C₂³×D₄	C₂⁴	1	1	yes	characteristic
477	C₂³×D₄	C₂⁴	1	2	yes	—
478	C₂³×D₄	C₂⁴	1	1	yes	characteristic
479	C₂³×D₄	C₂⁴	1	48	yes	—
480	C₂³×D₄	C₂⁴	1	8	yes	—
481	C₂³×D₄	C₂⁴	1	24	yes	—
482	C₂³×D₄	C₂⁴	1	96	yes	—
483	C₂³×D₄	C₂⁴	1	16	yes	—
484	C₂³×D₄	C₂⁴	1	16	yes	—
485	C₂³×D₄	C₂⁴	1	192	yes	—
486	C₂³×D₄	C₂⁴	1	192	yes	—
487	C₂³×D₄	C₂⁴	1	8	yes	—
488	C₂³×D₄	C₂⁴	1	8	yes	—
489	C₂³×D₄	C₂⁴	1	4	yes	—
490	C₂³×D₄	C₂⁴	1	8	yes	—
491	C₂³×D₄	C₂⁴	1	192	yes	—
492	C₂³×D₄	C₂⁴	1	384	yes	—
493	C₂³×D₄	C₂⁴	1	256	yes	complemented
494	C₂³×D₄	C₂⁴	1	48	yes	complemented
495	C₂³×D₄	C₂⁴	1	384	yes	complemented
496	C₂⁴×C₄	—	2	16	no	—
497	C₂⁴×C₄	—	2	32	no	—
498	C₂⁴×C₄	—	4	32	no	—
499	C₂⁴×C₄	C₂⁴	1	2	yes	—
500	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
501	C₂⁴×C₄	C₂⁴	1	2	yes	—
502	C₂⁴×C₄	C₂⁴	1	2	yes	—
503	C₂⁴×C₄	C₂⁴	1	2	yes	—
504	C₂⁴×C₄	C₂⁴	1	24	yes	—
505	C₂⁴×C₄	C₂⁴	1	2	yes	—
506	C₂⁴×C₄	C₂⁴	1	2	yes	—
507	C₂⁴×C₄	C₂⁴	1	2	yes	—
508	C₂⁴×C₄	C₂⁴	1	48	yes	—
509	C₂⁴×C₄	C₂⁴	1	8	yes	—
510	C₂⁴×C₄	C₂⁴	1	4	yes	—
511	C₂⁴×C₄	C₂⁴	1	8	yes	—
512	C₂⁴×C₄	C₂⁴	1	4	yes	—
513	C₂⁴×C₄	C₂⁴	1	8	yes	—
514	C₂⁴×C₄	C₂⁴	1	16	yes	—
515	C₂⁴×C₄	C₂⁴	1	16	yes	—
516	C₂⁴×C₄	C₂⁴	1	8	yes	—
517	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
518	C₂⁴×C₄	C₂⁴	1	96	yes	complemented
519	#563	C₂⁴	1	1024	yes	complemented
520	#562	C₂⁴	1	2048	yes	complemented
521	H(3,𝔽₄)	C₂⁴	1	2048	yes	complemented
522	H(3,𝔽₄)	C₂⁴	1	1024	yes	complemented
523	#560	C₂⁴	1	4096	yes	complemented
524	#560	C₂⁴	1	2048	yes	complemented
525	#560	C₂⁴	1	2048	yes	complemented
526	#560	C₂⁴	1	2048	yes	complemented
527	#559	C₂⁴	1	1024	yes	complemented
528	#556	C₂⁴	1	2048	yes	complemented
529	#555	C₂⁴	1	2048	yes	complemented
530	#555	C₂⁴	1	2048	yes	complemented
531	#555	C₂⁴	1	2048	yes	complemented
532	#553	C₂⁴	1	2048	yes	complemented
533	#553	C₂⁴	1	2048	yes	complemented
534	#553	C₂⁴	1	2048	yes	complemented
535	#552	C₂⁴	1	2048	yes	complemented
536	#551	C₂⁴	1	4096	yes	complemented
537	#551	C₂⁴	1	2048	yes	complemented
538	#551	C₂⁴	1	2048	yes	complemented
539	#550	C₂⁴	1	2048	yes	complemented
540	#550	C₂⁴	1	2048	yes	complemented
541	#548	C₂⁴	1	2048	yes	complemented
542	#547	C₂⁴	1	2048	yes	complemented
543	#546	C₂⁴	1	2048	yes	complemented
544	#546	C₂⁴	1	2048	yes	complemented
545	#546	C₂⁴	1	4096	yes	complemented
546	#546	C₂⁴	1	4096	yes	complemented
547	#546	C₂⁴	1	4096	yes	complemented
548	#546	C₂⁴	1	2048	yes	complemented
549	D₄²	C₂⁴	1	2048	yes	complemented
550	D₄²	C₂⁴	1	2048	yes	complemented
551	D₄²	C₂⁴	1	4096	yes	complemented
552	D₄²	C₂⁴	1	2048	yes	complemented
553	D₄²	C₂⁴	1	1024	yes	complemented
554	D₄²	C₂⁴	1	2048	yes	complemented
555	#544	C₂⁴	1	512	yes	complemented
556	#542	C₂⁴	1	2048	yes	complemented
557	#542	C₂⁴	1	4096	yes	complemented
558	#540	C₂⁴	1	2048	yes	complemented
559	#540	C₂⁴	1	4096	yes	complemented
560	#538	C₂⁴	1	2048	yes	complemented
561	#538	C₂⁴	1	4096	yes	complemented
562	#538	C₂⁴	1	4096	yes	complemented
563	#538	C₂⁴	1	4096	yes	complemented
564	#537	C₂⁴	1	512	yes	complemented
565	#537	C₂⁴	1	1024	yes	complemented
566	#537	C₂⁴	1	1024	yes	complemented
567	#537	C₂⁴	1	2048	yes	complemented
568	#536	C₂⁴	1	1024	yes	complemented
569	#536	C₂⁴	1	512	yes	complemented
570	#536	C₂⁴	1	512	yes	complemented
571	#535	C₂⁴	1	1024	yes	complemented
572	#535	C₂⁴	1	1024	yes	complemented
573	#535	C₂⁴	1	1024	yes	complemented
574	#535	C₂⁴	1	1024	yes	complemented
575	#535	C₂⁴	1	1024	yes	complemented
576	#535	C₂⁴	1	1024	yes	complemented
577	#535	C₂⁴	1	4096	yes	complemented
578	#535	C₂⁴	1	512	yes	complemented
579	#535	C₂⁴	1	512	yes	complemented
580	#535	C₂⁴	1	4096	yes	complemented
581	#535	C₂⁴	1	2048	yes	complemented
582	#534	C₂⁴	1	1024	yes	complemented
583	#534	C₂⁴	1	2048	yes	complemented
584	#534	C₂⁴	1	1024	yes	complemented
585	#534	C₂⁴	1	4096	yes	complemented
586	#532	C₂⁴	1	1024	yes	complemented
587	#532	C₂⁴	1	1024	yes	complemented
588	#532	C₂⁴	1	2048	yes	complemented
589	C₂×C₄⋊Q₈	C₂⁴	1	96	yes	complemented
590	C₂×C₄⋊Q₈	C₂⁴	1	96	yes	complemented
591	C₂×C₄⋊Q₈	C₂⁴	1	192	yes	complemented
592	C₂×#127	C₂⁴	1	192	yes	—
593	C₂×#127	C₂⁴	1	96	yes	—
594	C₂×#127	C₂⁴	1	96	yes	—
595	C₂×#127	C₂⁴	1	96	yes	—
596	C₂×#127	C₂⁴	1	96	yes	—
597	C₂×#127	C₂⁴	1	192	yes	—
598	C₂×#127	C₂⁴	1	512	yes	complemented
599	C₂×#127	C₂⁴	1	384	yes	complemented
600	#529	C₂⁴	1	2048	yes	complemented
601	#529	C₂⁴	1	2048	yes	complemented
602	C₂×#126	C₂⁴	1	384	yes	—
603	C₂×#126	C₂⁴	1	384	yes	complemented
604	C₂×#126	C₂⁴	1	384	yes	complemented
605	C₂×#126	C₂⁴	1	384	yes	complemented
606	C₂×#125	C₂⁴	1	192	yes	complemented
607	C₂×#125	C₂⁴	1	192	yes	complemented
608	C₂×#124	C₂⁴	1	192	yes	—
609	C₂×#124	C₂⁴	1	96	yes	—
610	C₂×#124	C₂⁴	1	96	yes	—
611	C₂×#124	C₂⁴	1	192	yes	—
612	C₂×#124	C₂⁴	1	96	yes	—
613	C₂×#124	C₂⁴	1	96	yes	—
614	C₂×#124	C₂⁴	1	384	yes	—
615	C₂×#124	C₂⁴	1	512	yes	complemented
616	C₂×#124	C₂⁴	1	192	yes	complemented
617	C₂×#124	C₂⁴	1	96	yes	complemented
618	C₂×#124	C₂⁴	1	96	yes	complemented
619	C₂×#124	C₂⁴	1	384	yes	complemented
620	C₂×#124	C₂⁴	1	384	yes	complemented
621	C₂×#124	C₂⁴	1	384	yes	complemented
622	#525	C₂⁴	1	1024	yes	complemented
623	#525	C₂⁴	1	1024	yes	complemented
624	#525	C₂⁴	1	1024	yes	complemented
625	#525	C₂⁴	1	1024	yes	complemented
626	#525	C₂⁴	1	2048	yes	complemented
627	C₂×#123	C₂⁴	1	192	yes	—
628	C₂×#123	C₂⁴	1	96	yes	—
629	C₂×#123	C₂⁴	1	192	yes	—
630	C₂×#123	C₂⁴	1	96	yes	—
631	C₂×#123	C₂⁴	1	384	yes	—
632	C₂×#123	C₂⁴	1	192	yes	—
633	C₂×#123	C₂⁴	1	192	yes	—
634	C₂×#123	C₂⁴	1	96	yes	complemented
635	C₂×#123	C₂⁴	1	96	yes	complemented
636	C₂×#123	C₂⁴	1	384	yes	complemented
637	C₂×#123	C₂⁴	1	384	yes	complemented
638	C₂×#123	C₂⁴	1	384	yes	complemented
639	C₂×#123	C₂⁴	1	384	yes	complemented
640	C₂×#123	C₂⁴	1	384	yes	complemented
641	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
642	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
643	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
644	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	complemented
645	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	complemented
646	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
647	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
648	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
649	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	complemented
650	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	complemented
651	C₂×#121	C₂⁴	1	192	yes	—
652	C₂×#121	C₂⁴	1	192	yes	—
653	C₂×#121	C₂⁴	1	192	yes	—
654	C₂×#121	C₂⁴	1	192	yes	—
655	C₂×#121	C₂⁴	1	192	yes	—
656	C₂×#121	C₂⁴	1	192	yes	—
657	C₂×#121	C₂⁴	1	192	yes	—
658	C₂×#121	C₂⁴	1	96	yes	—
659	C₂×#121	C₂⁴	1	96	yes	—
660	C₂×#121	C₂⁴	1	192	yes	—
661	C₂×#121	C₂⁴	1	192	yes	—
662	C₂×#121	C₂⁴	1	192	yes	—
663	C₂×#121	C₂⁴	1	192	yes	—
664	C₂×#121	C₂⁴	1	384	yes	—
665	C₂×#121	C₂⁴	1	384	yes	—
666	C₂×#121	C₂⁴	1	384	yes	—
667	C₂×#121	C₂⁴	1	1024	yes	complemented
668	C₂×#121	C₂⁴	1	96	yes	complemented
669	C₂×#121	C₂⁴	1	384	yes	complemented
670	C₂×#121	C₂⁴	1	192	yes	complemented
671	C₂×#121	C₂⁴	1	384	yes	complemented
672	C₂×#121	C₂⁴	1	96	yes	complemented
673	C₂×#121	C₂⁴	1	192	yes	complemented
674	C₂×#121	C₂⁴	1	192	yes	complemented
675	C₂×#121	C₂⁴	1	384	yes	complemented
676	C₂×#121	C₂⁴	1	384	yes	complemented
677	C₂×#121	C₂⁴	1	384	yes	complemented
678	C₂×#121	C₂⁴	1	384	yes	complemented
679	C₂×#121	C₂⁴	1	384	yes	complemented
680	C₂×#121	C₂⁴	1	384	yes	complemented
681	C₂×#121	C₂⁴	1	2048	yes	complemented
682	C₂×#120	C₂⁴	1	192	yes	—
683	C₂×#120	C₂⁴	1	192	yes	—
684	C₂×#120	C₂⁴	1	384	yes	—
685	C₂×#120	C₂⁴	1	384	yes	—
686	C₂×#120	C₂⁴	1	192	yes	—
687	C₂×#120	C₂⁴	1	192	yes	—
688	C₂×#120	C₂⁴	1	192	yes	—
689	C₂×#120	C₂⁴	1	384	yes	—
690	C₂×#120	C₂⁴	1	96	yes	—
691	C₂×#120	C₂⁴	1	192	yes	—
692	C₂×#120	C₂⁴	1	96	yes	—
693	C₂×#120	C₂⁴	1	192	yes	—
694	C₂×#120	C₂⁴	1	192	yes	—
695	C₂×#120	C₂⁴	1	1024	yes	complemented
696	C₂×#120	C₂⁴	1	2048	yes	complemented
697	C₂×#120	C₂⁴	1	96	yes	complemented
698	C₂×#120	C₂⁴	1	96	yes	complemented
699	C₂×#120	C₂⁴	1	384	yes	complemented
700	C₂×#120	C₂⁴	1	384	yes	complemented
701	C₂×#120	C₂⁴	1	384	yes	complemented
702	#520	C₂⁴	1	1024	yes	complemented
703	#518	C₂⁴	1	512	yes	complemented
704	C₂×C₄×Q₈	C₂⁴	1	192	yes	complemented
705	C₂×C₄×Q₈	C₂⁴	1	192	yes	complemented
706	C₂×C₄×D₄	C₂⁴	1	192	yes	—
707	C₂×C₄×D₄	C₂⁴	1	192	yes	—
708	C₂×C₄×D₄	C₂⁴	1	384	yes	—
709	C₂×C₄×D₄	C₂⁴	1	192	yes	—
710	C₂×C₄×D₄	C₂⁴	1	192	yes	—
711	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
712	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
713	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
714	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
715	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
716	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
717	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
718	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
719	C₂×#117	C₂⁴	1	96	yes	—
720	C₂×#117	C₂⁴	1	96	yes	—
721	C₂×#117	C₂⁴	1	96	yes	—
722	C₂×#117	C₂⁴	1	96	yes	—
723	C₂×#117	C₂⁴	1	256	yes	complemented
724	C₂×#117	C₂⁴	1	96	yes	complemented
725	C₂×#117	C₂⁴	1	48	yes	complemented
726	C₂×#117	C₂⁴	1	48	yes	complemented
727	C₂×#117	C₂⁴	1	192	yes	complemented
728	C₂×#117	C₂⁴	1	384	yes	complemented
729	C₂×#117	C₂⁴	1	384	yes	complemented
730	C₂×#117	C₂⁴	1	512	yes	complemented
731	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
732	C₂²×C₄⋊C₄	C₂⁴	1	48	yes	—
733	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
736	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
737	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
738	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
739	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
740	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
741	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
742	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
743	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
744	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
745	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	complemented
746	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
747	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
748	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
749	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
750	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
751	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
752	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
755	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
756	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
757	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
758	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
759	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
760	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
761	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
762	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	—
763	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
764	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
765	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
766	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
767	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
768	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
769	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
770	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
771	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	complemented
772	C₂²×C₄²	C₂⁴	1	4	yes	—
773	C₂²×C₄²	C₂⁴	1	4	yes	—
774	C₂²×C₄²	C₂⁴	1	48	yes	—
775	C₂²×C₄²	C₂⁴	1	4	yes	—
776	C₂²×C₄²	C₂⁴	1	8	yes	—
777	C₂²×C₄²	C₂⁴	1	4	yes	—
778	C₂²×C₄²	C₂⁴	1	16	yes	—
779	C₂²×C₄²	C₂⁴	1	96	yes	complemented
780	C₂⁵	—	2	8	no	—
781	C₂⁵	—	2	16	no	—
782	C₂⁵	—	2	32	no	—
783	C₂⁵	—	4	8	no	—
784	C₂⁵	—	4	16	no	—
785	C₂⁵	—	4	32	no	—
786	C₂⁵	—	4	192	no	—
787	C₂⁵	—	4	16	no	—
788	C₂⁵	—	4	32	no	—
789	C₂⁵	—	4	32	no	—
790	C₂⁵	—	4	64	no	—
791	C₂⁵	—	4	32	no	—
792	C₂⁵	—	4	64	no	—
793	C₂⁵	—	8	192	no	—
794	C₂⁵	—	8	256	no	—
795	C₂⁵	C₂⁵	1	2	yes	—
796	C₂⁵	C₂⁵	1	8	yes	—
797	C₂⁵	C₂⁵	1	2	yes	—
798	C₂⁵	C₂⁵	1	8	yes	—
799	C₂⁵	C₂⁵	1	2	yes	—
800	C₂⁵	C₂⁵	1	1	yes	characteristic
801	C₂⁵	C₂⁵	1	48	yes	—
802	C₂⁵	C₂⁵	1	12	yes	—
803	C₂⁵	C₂⁵	1	24	yes	—
804	C₂⁵	C₂⁵	1	96	yes	—
805	C₂⁵	C₂⁵	1	96	yes	—
806	C₂⁵	C₂⁵	1	48	yes	—
807	C₂⁵	C₂⁵	1	128	yes	—
808	H(5,𝔽₂)	—	4	2048	no	—
809	C₂×#41	—	2	768	no	—
810	C₂×#41	—	4	192	no	—
811	C₂×#41	—	4	192	no	—
812	C₂×#41	—	4	192	no	—
813	C₂×#41	—	4	192	no	—
814	C₂×#41	—	4	1024	no	—
815	C₂×#41	—	4	384	no	—
816	C₂×#41	—	4	384	no	—
817	C₂×#41	—	4	384	no	—
818	C₂×#41	—	4	768	no	—
819	C₂×#41	—	4	2048	no	—
820	C₂×#41	—	8	768	no	—
821	C₂×#41	C₂⁵	1	256	yes	—
822	C₂×#41	C₂⁵	1	128	yes	—
823	C₂×#41	C₂⁵	1	128	yes	—
824	C₂×#41	C₂⁵	1	512	yes	—
825	C₂×#41	C₂⁵	1	128	yes	—
826	C₂×#41	C₂⁵	1	128	yes	—
827	C₂×#41	C₂⁵	1	256	yes	—
828	C₂×#41	C₂⁵	1	256	yes	complemented
829	C₂×#41	C₂⁵	1	256	yes	complemented
830	C₂×#41	C₂⁵	1	1024	yes	complemented
831	C₂²×Q₈	—	2	32	no	—
832	C₂²×Q₈	—	4	4	no	—
833	C₂²×Q₈	—	4	8	no	—
834	C₂²×Q₈	—	4	4	no	—
835	C₂²×Q₈	—	4	96	no	—
836	C₂²×Q₈	—	4	16	no	—
837	C₂²×Q₈	—	4	32	no	—
838	C₂²×Q₈	—	4	192	no	—
839	C₂²×Q₈	C₂⁵	1	48	yes	—
840	C₂²×Q₈	C₂⁵	1	96	yes	—
841	C₂²×Q₈	C₂⁵	1	12	yes	—
842	C₂²×Q₈	C₂⁵	1	24	yes	—
843	C₂²×Q₈	C₂⁵	1	48	yes	—
844	C₂²×Q₈	C₂⁵	1	12	yes	—
845	C₂²×Q₈	C₂⁵	1	64	yes	—
846	C₂²×Q₈	C₂⁵	1	128	yes	complemented
847	C₂²×D₄	—	2	64	no	—
848	C₂²×D₄	—	2	64	no	—
849	C₂²×D₄	—	2	384	no	—
850	C₂²×D₄	—	2	32	no	—
851	C₂²×D₄	—	4	384	no	—
852	C₂²×D₄	—	4	384	no	—
853	C₂²×D₄	—	4	1024	no	—
854	C₂²×D₄	—	4	768	no	—
855	C₂²×D₄	—	4	192	no	—
856	C₂²×D₄	—	4	16	no	—
857	C₂²×D₄	—	4	16	no	—
858	C₂²×D₄	—	4	192	no	—
859	C₂²×D₄	—	4	64	no	—
860	C₂²×D₄	—	4	8	no	—
861	C₂²×D₄	—	4	8	no	—
862	C₂²×D₄	—	4	4	no	—
863	C₂²×D₄	—	4	8	no	—
864	C₂²×D₄	—	4	4	no	—
865	C₂²×D₄	—	4	96	no	—
866	C₂²×D₄	—	4	8	no	—
867	C₂²×D₄	—	4	8	no	—
868	C₂²×D₄	—	4	16	no	—
869	C₂²×D₄	—	4	192	no	—
870	C₂²×D₄	—	4	32	no	—
871	C₂²×D₄	—	4	32	no	—
872	C₂²×D₄	—	4	64	no	—
873	C₂²×D₄	—	4	32	no	—
874	C₂²×D₄	—	4	64	no	—
875	C₂²×D₄	—	4	32	no	—
876	C₂²×D₄	—	4	32	no	—
877	C₂²×D₄	—	4	64	no	—
878	C₂²×D₄	—	4	64	no	—
879	C₂²×D₄	—	4	32	no	—
880	C₂²×D₄	—	4	384	no	—
881	C₂²×D₄	—	4	768	no	—
882	C₂²×D₄	—	8	384	no	—
883	C₂²×D₄	—	8	768	no	—
884	C₂²×D₄	—	8	768	no	—
885	C₂²×D₄	C₂⁵	1	96	yes	—
886	C₂²×D₄	C₂⁵	1	96	yes	—
887	C₂²×D₄	C₂⁵	1	48	yes	—
888	C₂²×D₄	C₂⁵	1	128	yes	—
889	C₂²×D₄	C₂⁵	1	96	yes	—
890	C₂²×D₄	C₂⁵	1	96	yes	—
891	C₂²×D₄	C₂⁵	1	192	yes	—
892	C₂²×D₄	C₂⁵	1	192	yes	—
893	C₂²×D₄	C₂⁵	1	192	yes	—
894	C₂²×D₄	C₂⁵	1	192	yes	—
895	C₂²×D₄	C₂⁵	1	96	yes	—
896	C₂²×D₄	C₂⁵	1	96	yes	—
897	C₂²×D₄	C₂⁵	1	96	yes	—
898	C₂²×D₄	C₂⁵	1	24	yes	—
899	C₂²×D₄	C₂⁵	1	24	yes	—
900	C₂²×D₄	C₂⁵	1	24	yes	—
901	C₂²×D₄	C₂⁵	1	24	yes	—
902	C₂²×D₄	C₂⁵	1	192	yes	—
903	C₂²×D₄	C₂⁵	1	48	yes	—
904	C₂²×D₄	C₂⁵	1	48	yes	—
905	C₂²×D₄	C₂⁵	1	48	yes	—
906	C₂²×D₄	C₂⁵	1	12	yes	—
907	C₂²×D₄	C₂⁵	1	128	yes	—
908	C₂²×D₄	C₂⁵	1	96	yes	—
909	C₂²×D₄	C₂⁵	1	24	yes	—
910	C₂²×D₄	C₂⁵	1	512	yes	—
911	C₂²×D₄	C₂⁵	1	12	yes	—
912	C₂²×D₄	C₂⁵	1	512	yes	—
913	C₂²×D₄	C₂⁵	1	128	yes	—
914	C₂²×D₄	C₂⁵	1	64	yes	—
915	C₂²×D₄	C₂⁵	1	256	yes	—
916	C₂²×D₄	C₂⁵	1	256	yes	—
917	C₂²×D₄	C₂⁵	1	256	yes	—
918	C₂²×D₄	C₂⁵	1	512	yes	—
919	C₂²×D₄	C₂⁵	1	1024	yes	—
920	C₂²×D₄	C₂⁵	1	128	yes	complemented
921	C₂²×D₄	C₂⁵	1	1024	yes	complemented
922	C₂³×C₄	—	2	8	no	—
923	C₂³×C₄	—	2	16	no	—
924	C₂³×C₄	—	2	16	no	—
925	C₂³×C₄	—	2	16	no	—
926	C₂³×C₄	—	2	16	no	—
927	C₂³×C₄	—	2	192	no	—
928	C₂³×C₄	—	2	16	no	—
929	C₂³×C₄	—	2	16	no	—
930	C₂³×C₄	—	2	16	no	—
931	C₂³×C₄	—	2	384	no	—
932	C₂³×C₄	—	2	64	no	—
933	C₂³×C₄	—	4	384	no	—
934	C₂³×C₄	—	4	16	no	—
935	C₂³×C₄	—	4	32	no	—
936	C₂³×C₄	—	4	32	no	—
937	C₂³×C₄	—	4	16	no	—
938	C₂³×C₄	—	4	64	no	—
939	C₂³×C₄	—	4	64	no	—
940	C₂³×C₄	—	4	32	no	—
941	C₂³×C₄	H(5,𝔽₂)	1	16	yes	—
942	C₂³×C₄	C₂⁵	1	24	yes	—
943	C₂³×C₄	C₂⁵	1	24	yes	—
944	C₂³×C₄	C₂⁵	1	96	yes	—
945	C₂³×C₄	C₂⁵	1	24	yes	—
946	C₂³×C₄	C₂⁵	1	24	yes	—
947	C₂³×C₄	C₂⁵	1	24	yes	—
948	C₂³×C₄	C₂⁵	1	24	yes	—
949	C₂³×C₄	C₂⁵	1	128	yes	—
950	C₂³×C₄	C₂⁵	1	64	yes	—
951	C₂³×C₄	C₂⁵	1	24	yes	—
952	C₂³×C₄	C₂⁵	1	12	yes	—
953	C₂³×C₄	C₂⁵	1	2	yes	—
954	C₂³×C₄	C₂⁵	1	8	yes	—
955	C₂³×C₄	C₂⁵	1	2	yes	—
956	C₂³×C₄	C₂⁵	1	8	yes	—
957	C₂³×C₄	C₂⁵	1	8	yes	—
958	C₂³×C₄	C₂⁵	1	8	yes	—
959	C₂³×C₄	C₂⁵	1	1	yes	characteristic
960	C₂³×C₄	C₂⁵	1	1	yes	characteristic
961	C₂³×C₄	C₂⁵	1	48	yes	—
962	C₂³×C₄	C₂⁵	1	192	yes	—
963	C₂³×C₄	C₂⁵	1	96	yes	—
964	C₂³×C₄	C₂⁵	1	96	yes	—
965	C₂³×C₄	C₂⁵	1	96	yes	—
966	C₂³×C₄	C₂⁵	1	192	yes	—
967	C₂³×C₄	C₂⁵	1	48	yes	—
968	C₂³×C₄	C₂⁵	1	12	yes	—
969	C₂³×C₄	C₂⁵	1	2	yes	—
970	C₂³×C₄	C₂⁵	1	256	yes	complemented
971	C₄⋊Q₈	C₂⁵	1	256	yes	complemented
972	C₄⋊Q₈	C₂⁵	1	256	yes	complemented
973	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
974	#127	C₂⁵	1	512	yes	—
975	#127	C₂⁵	1	256	yes	—
976	#127	C₂⁵	1	256	yes	—
977	#127	C₂⁵	1	256	yes	—
978	#127	C₂⁵	1	256	yes	—
979	#127	C₂⁵	1	512	yes	—
980	#127	C₂⁵	1	1024	yes	complemented
981	#126	C₂⁵	1	1024	yes	—
982	#126	C₂⁵	1	1024	yes	complemented
983	#126	C₂⁵	1	1024	yes	complemented
984	#126	C₂⁵	1	1024	yes	complemented
985	#125	C₂⁵	1	512	yes	complemented
986	#125	C₂⁵	1	512	yes	complemented
987	#124	C₂⁵	1	512	yes	—
988	#124	C₂⁵	1	256	yes	—
989	#124	C₂⁵	1	256	yes	—
990	#124	C₂⁵	1	512	yes	—
991	#124	C₂⁵	1	256	yes	—
992	#124	C₂⁵	1	256	yes	—
993	#124	C₂⁵	1	1024	yes	—
994	#124	C₂⁵	1	512	yes	complemented
995	#124	C₂⁵	1	256	yes	complemented
996	#124	C₂⁵	1	256	yes	complemented
997	#124	C₂⁵	1	1024	yes	complemented
998	#124	C₂⁵	1	1024	yes	complemented
999	#124	C₂⁵	1	1024	yes	complemented
1000	#123	C₂⁵	1	512	yes	—
1001	#123	C₂⁵	1	256	yes	—
1002	#123	C₂⁵	1	512	yes	—
1003	#123	C₂⁵	1	256	yes	—
1004	#123	C₂⁵	1	1024	yes	—
1005	#123	C₂⁵	1	512	yes	—
1006	#123	C₂⁵	1	512	yes	—
1007	#123	C₂⁵	1	256	yes	complemented
1008	#123	C₂⁵	1	256	yes	complemented
1009	#123	C₂⁵	1	1024	yes	complemented
1010	#123	C₂⁵	1	1024	yes	complemented
1011	#123	C₂⁵	1	1024	yes	complemented
1012	#123	C₂⁵	1	1024	yes	complemented
1013	#123	C₂⁵	1	1024	yes	complemented
1014	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1015	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1016	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1017	C₂²⋊Q₈	C₂⁵	1	256	yes	complemented
1018	C₂²⋊Q₈	C₂⁵	1	256	yes	complemented
1019	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1020	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1021	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1022	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
1023	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
1024	#121	C₂⁵	1	512	yes	—
1025	#121	C₂⁵	1	512	yes	—
1026	#121	C₂⁵	1	512	yes	—
1027	#121	C₂⁵	1	512	yes	—
1028	#121	C₂⁵	1	512	yes	—
1029	#121	C₂⁵	1	512	yes	—
1030	#121	C₂⁵	1	512	yes	—
1031	#121	C₂⁵	1	256	yes	—
1032	#121	C₂⁵	1	256	yes	—
1033	#121	C₂⁵	1	512	yes	—
1034	#121	C₂⁵	1	512	yes	—
1035	#121	C₂⁵	1	512	yes	—
1036	#121	C₂⁵	1	512	yes	—
1037	#121	C₂⁵	1	1024	yes	—
1038	#121	C₂⁵	1	1024	yes	—
1039	#121	C₂⁵	1	1024	yes	—
1040	#121	C₂⁵	1	256	yes	complemented
1041	#121	C₂⁵	1	1024	yes	complemented
1042	#121	C₂⁵	1	512	yes	complemented
1043	#121	C₂⁵	1	1024	yes	complemented
1044	#121	C₂⁵	1	256	yes	complemented
1045	#121	C₂⁵	1	512	yes	complemented
1046	#121	C₂⁵	1	512	yes	complemented
1047	#121	C₂⁵	1	1024	yes	complemented
1048	#121	C₂⁵	1	1024	yes	complemented
1049	#121	C₂⁵	1	1024	yes	complemented
1050	#121	C₂⁵	1	1024	yes	complemented
1051	#121	C₂⁵	1	1024	yes	complemented
1052	#121	C₂⁵	1	1024	yes	complemented
1053	#120	C₂⁵	1	512	yes	—
1054	#120	C₂⁵	1	512	yes	—
1055	#120	C₂⁵	1	1024	yes	—
1056	#120	C₂⁵	1	1024	yes	—
1057	#120	C₂⁵	1	512	yes	—
1058	#120	C₂⁵	1	512	yes	—
1059	#120	C₂⁵	1	512	yes	—
1060	#120	C₂⁵	1	1024	yes	—
1061	#120	C₂⁵	1	256	yes	—
1062	#120	C₂⁵	1	512	yes	—
1063	#120	C₂⁵	1	256	yes	—
1064	#120	C₂⁵	1	512	yes	—
1065	#120	C₂⁵	1	512	yes	—
1066	#120	C₂⁵	1	256	yes	complemented
1067	#120	C₂⁵	1	256	yes	complemented
1068	#120	C₂⁵	1	1024	yes	complemented
1069	#120	C₂⁵	1	1024	yes	complemented
1070	#120	C₂⁵	1	1024	yes	complemented
1071	C₄×Q₈	C₂⁵	1	512	yes	complemented
1072	C₄×Q₈	C₂⁵	1	512	yes	complemented
1073	C₄×D₄	C₂⁵	1	512	yes	—
1074	C₄×D₄	C₂⁵	1	512	yes	—
1075	C₄×D₄	C₂⁵	1	1024	yes	—
1076	C₄×D₄	C₂⁵	1	512	yes	—
1077	C₄×D₄	C₂⁵	1	512	yes	—
1078	C₄×D₄	C₂⁵	1	512	yes	complemented
1079	C₄×D₄	C₂⁵	1	512	yes	complemented
1080	C₄×D₄	C₂⁵	1	512	yes	complemented
1081	C₄×D₄	C₂⁵	1	1024	yes	complemented
1082	C₄×D₄	C₂⁵	1	1024	yes	complemented
1083	C₄×D₄	C₂⁵	1	512	yes	complemented
1084	C₄×D₄	C₂⁵	1	1024	yes	complemented
1085	C₄×D₄	C₂⁵	1	1024	yes	complemented
1086	#117	C₂⁵	1	256	yes	—
1087	#117	C₂⁵	1	256	yes	—
1088	#117	C₂⁵	1	256	yes	—
1089	#117	C₂⁵	1	256	yes	—
1090	#117	C₂⁵	1	256	yes	complemented
1091	#117	C₂⁵	1	128	yes	complemented
1092	#117	C₂⁵	1	128	yes	complemented
1093	#117	C₂⁵	1	512	yes	complemented
1094	#117	C₂⁵	1	1024	yes	complemented
1095	#117	C₂⁵	1	1024	yes	complemented
1096	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1097	C₂×C₄⋊C₄	C₂⁵	1	128	yes	—
1098	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1099	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1100	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1101	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1102	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1103	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1104	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1105	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1106	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1107	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1108	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1109	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1110	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
1111	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1112	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1113	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1114	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1115	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1116	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1117	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1118	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1119	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1120	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1121	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1122	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1123	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1124	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1125	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1126	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1127	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
1128	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1129	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1130	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1131	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1132	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1133	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1134	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1135	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1136	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	complemented
1137	C₂×C₄²	C₂⁵	1	48	yes	—
1138	C₂×C₄²	C₂⁵	1	48	yes	—
1139	C₂×C₄²	C₂⁵	1	48	yes	—
1140	C₂×C₄²	C₂⁵	1	96	yes	—
1141	C₂×C₄²	C₂⁵	1	48	yes	—
1142	C₂×C₄²	C₂⁵	1	192	yes	—
1143	C₂×C₄²	C₂⁵	1	128	yes	—
1144	C₂×C₄²	C₂⁵	1	256	yes	complemented
1145	C₂⁴	—	2	8	no	—
1146	C₂⁴	—	2	8	no	—
1147	C₂⁴	—	2	8	no	—
1148	C₂⁴	—	2	48	no	—
1149	C₂⁴	—	2	8	no	—
1150	C₂⁴	—	2	32	no	—
1151	C₂⁴	—	2	32	no	—
1152	C₂⁴	—	2	16	no	—
1153	C₂⁴	—	2	32	no	—
1154	C₂⁴	—	2	64	no	—
1155	C₂⁴	—	2	16	no	—
1156	C₂⁴	—	2	32	no	—
1157	C₂⁴	—	2	16	no	—
1158	C₂⁴	—	2	96	no	—
1159	C₂⁴	—	2	192	no	—
1160	C₂⁴	—	4	48	no	—
1161	C₂⁴	—	4	96	no	—
1162	C₂⁴	—	4	192	no	—
1163	C₂⁴	—	4	256	no	—
1164	C₂⁴	—	4	96	no	—
1165	C₂⁴	—	4	192	no	—
1166	C₂⁴	—	4	192	no	—
1167	C₂⁴	—	4	384	no	—
1168	C₂⁴	—	4	192	no	—
1169	C₂⁴	—	4	384	no	—
1170	C₂⁴	—	4	64	no	—
1171	C₂⁴	—	8	64	no	—
1172	C₂⁴	—	8	128	no	—
1173	C₂⁴	—	8	256	no	—
1174	C₂⁴	—	8	128	no	—
1175	C₂⁴	—	8	256	no	—
1176	C₂⁴	—	8	1536	no	—
1177	C₂⁴	—	16	128	no	—
1178	C₂⁴	C₂×H(5,𝔽₂)	1	8	yes	—
1179	C₂⁴	C₂⁶	1	12	yes	—
1180	C₂⁴	C₂⁶	1	48	yes	—
1181	C₂⁴	C₂⁶	1	12	yes	—
1182	C₂⁴	C₂⁶	1	48	yes	—
1183	C₂⁴	C₂⁶	1	12	yes	—
1184	C₂⁴	C₂⁶	1	6	yes	—
1185	C₂⁴	C₂⁶	1	64	yes	—
1186	C₂⁴	C₂⁶	1	16	yes	—
1187	C₂⁴	C₂⁶	1	32	yes	—
1188	C₂⁴	C₂⁶	1	128	yes	—
1189	C₂⁴	C₂⁶	1	128	yes	—
1190	C₂⁴	C₂⁶	1	64	yes	—
1191	C₂⁴	C₂⁶	1	1	yes	characteristic
1192	#41	—	2	1024	no	—
1193	#41	—	4	256	no	—
1194	#41	—	4	256	no	—
1195	#41	—	4	256	no	—
1196	#41	—	4	256	no	—
1197	#41	—	4	512	no	—
1198	#41	—	4	512	no	—
1199	#41	—	4	512	no	—
1200	#41	—	4	1024	no	—
1201	#41	—	8	1024	no	—
1202	C₂×Q₈	—	2	192	no	—
1203	C₂×Q₈	—	4	24	no	—
1204	C₂×Q₈	—	4	48	no	—
1205	C₂×Q₈	—	4	24	no	—
1206	C₂×Q₈	—	4	128	no	—
1207	C₂×Q₈	—	4	96	no	—
1208	C₂×Q₈	—	4	192	no	—
1209	C₂×Q₈	—	4	256	no	—
1210	C₂×Q₈	C₂⁶	1	64	yes	—
1211	C₂×Q₈	C₂⁶	1	128	yes	—
1212	C₂×Q₈	C₂⁶	1	16	yes	—
1213	C₂×Q₈	C₂⁶	1	32	yes	—
1214	C₂×Q₈	C₂⁶	1	64	yes	—
1215	C₂×Q₈	C₂⁶	1	16	yes	—
1216	C₂×D₄	—	2	384	no	—
1217	C₂×D₄	—	2	384	no	—
1218	C₂×D₄	—	2	512	no	—
1219	C₂×D₄	—	2	192	no	—
1220	C₂×D₄	—	4	512	no	—
1221	C₂×D₄	—	4	512	no	—
1222	C₂×D₄	—	4	1024	no	—
1223	C₂×D₄	—	4	256	no	—
1224	C₂×D₄	—	4	96	no	—
1225	C₂×D₄	—	4	96	no	—
1226	C₂×D₄	—	4	256	no	—
1227	C₂×D₄	—	4	384	no	—
1228	C₂×D₄	—	4	48	no	—
1229	C₂×D₄	—	4	48	no	—
1230	C₂×D₄	—	4	24	no	—
1231	C₂×D₄	—	4	48	no	—
1232	C₂×D₄	—	4	24	no	—
1233	C₂×D₄	—	4	128	no	—
1234	C₂×D₄	—	4	48	no	—
1235	C₂×D₄	—	4	48	no	—
1236	C₂×D₄	—	4	96	no	—
1237	C₂×D₄	—	4	256	no	—
1238	C₂×D₄	—	4	192	no	—
1239	C₂×D₄	—	4	192	no	—
1240	C₂×D₄	—	4	384	no	—
1241	C₂×D₄	—	4	192	no	—
1242	C₂×D₄	—	4	384	no	—
1243	C₂×D₄	—	4	192	no	—
1244	C₂×D₄	—	4	192	no	—
1245	C₂×D₄	—	4	384	no	—
1246	C₂×D₄	—	4	384	no	—
1247	C₂×D₄	—	4	192	no	—
1248	C₂×D₄	—	4	512	no	—
1249	C₂×D₄	—	4	1024	no	—
1250	C₂×D₄	—	8	512	no	—
1251	C₂×D₄	—	8	1024	no	—
1252	C₂×D₄	—	8	1024	no	—
1253	C₂×D₄	C₂⁶	1	128	yes	—
1254	C₂×D₄	C₂⁶	1	128	yes	—
1255	C₂×D₄	C₂⁶	1	64	yes	—
1256	C₂×D₄	C₂⁶	1	128	yes	—
1257	C₂×D₄	C₂⁶	1	128	yes	—
1258	C₂×D₄	C₂⁶	1	256	yes	—
1259	C₂×D₄	C₂⁶	1	256	yes	—
1260	C₂×D₄	C₂⁶	1	256	yes	—
1261	C₂×D₄	C₂⁶	1	256	yes	—
1262	C₂×D₄	C₂⁶	1	128	yes	—
1263	C₂×D₄	C₂⁶	1	128	yes	—
1264	C₂×D₄	C₂⁶	1	128	yes	—
1265	C₂×D₄	C₂⁶	1	32	yes	—
1266	C₂×D₄	C₂⁶	1	32	yes	—
1267	C₂×D₄	C₂⁶	1	32	yes	—
1268	C₂×D₄	C₂⁶	1	32	yes	—
1269	C₂×D₄	C₂⁶	1	256	yes	—
1270	C₂×D₄	C₂⁶	1	64	yes	—
1271	C₂×D₄	C₂⁶	1	64	yes	—
1272	C₂×D₄	C₂⁶	1	64	yes	—
1273	C₂×D₄	C₂⁶	1	16	yes	—
1274	C₂×D₄	C₂⁶	1	128	yes	—
1275	C₂×D₄	C₂⁶	1	32	yes	—
1276	C₂×D₄	C₂⁶	1	16	yes	—
1277	C₂²×C₄	—	2	8	no	—
1278	C₂²×C₄	—	2	48	no	—
1279	C₂²×C₄	—	2	4	no	—
1280	C₂²×C₄	—	2	4	no	—
1281	C₂²×C₄	—	2	8	no	—
1282	C₂²×C₄	—	2	96	no	—
1283	C₂²×C₄	—	2	32	no	—
1284	C₂²×C₄	—	2	32	no	—
1285	C₂²×C₄	—	2	32	no	—
1286	C₂²×C₄	—	2	32	no	—
1287	C₂²×C₄	—	2	96	no	—
1288	C₂²×C₄	—	2	96	no	—
1289	C₂²×C₄	—	2	96	no	—
1290	C₂²×C₄	—	2	256	no	—
1291	C₂²×C₄	—	2	96	no	—
1292	C₂²×C₄	—	2	96	no	—
1293	C₂²×C₄	—	2	96	no	—
1294	C₂²×C₄	—	2	512	no	—
1295	C₂²×C₄	—	2	384	no	—
1296	C₂²×C₄	—	4	512	no	—
1297	C₂²×C₄	—	4	96	no	—
1298	C₂²×C₄	—	4	192	no	—
1299	C₂²×C₄	—	4	192	no	—
1300	C₂²×C₄	—	4	96	no	—
1301	C₂²×C₄	—	4	384	no	—
1302	C₂²×C₄	—	4	384	no	—
1303	C₂²×C₄	—	4	192	no	—
1304	C₂²×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
1305	C₂²×C₄	C₂×H(5,𝔽₂)	1	96	yes	—
1306	C₂²×C₄	C₂⁶	1	48	yes	—
1307	C₂²×C₄	C₂⁶	1	12	yes	—
1308	C₂²×C₄	C₂⁶	1	48	yes	—
1309	C₂²×C₄	C₂⁶	1	6	yes	—
1310	C₂²×C₄	C₂⁶	1	6	yes	—
1311	C₂²×C₄	C₂⁶	1	16	yes	—
1312	C₂²×C₄	C₂⁶	1	48	yes	—
1313	C₂²×C₄	C₂⁶	1	48	yes	—
1314	C₂²×C₄	C₂⁶	1	32	yes	—
1315	C₂²×C₄	C₂⁶	1	12	yes	—
1316	C₂²×C₄	C₂⁶	1	32	yes	—
1317	C₂²×C₄	C₂⁶	1	32	yes	—
1318	C₂²×C₄	C₂⁶	1	128	yes	—
1319	C₂²×C₄	C₂⁶	1	32	yes	—
1320	C₂²×C₄	C₂⁶	1	32	yes	—
1321	C₂²×C₄	C₂⁶	1	32	yes	—
1322	C₂²×C₄	C₂⁶	1	32	yes	—
1323	C₂²×C₄	C₂⁶	1	64	yes	—
1324	C₂²×C₄	C₂⁶	1	128	yes	—
1325	C₂²×C₄	C₂⁶	1	256	yes	—
1326	C₂²×C₄	C₂⁶	1	128	yes	—
1327	C₂²×C₄	C₂⁶	1	128	yes	—
1328	C₂²×C₄	C₂⁶	1	256	yes	—
1329	C₂²×C₄	C₂⁶	1	64	yes	—
1330	C₂²×C₄	C₂⁶	1	12	yes	—
1331	C₂²×C₄	C₂⁶	1	16	yes	—
1332	C₄⋊C₄	C₂⁶	1	128	yes	—
1333	C₄⋊C₄	C₂⁶	1	64	yes	—
1334	C₄⋊C₄	C₂⁶	1	64	yes	—
1335	C₄⋊C₄	C₂⁶	1	128	yes	—
1336	C₄⋊C₄	C₂⁶	1	256	yes	—
1337	C₄⋊C₄	C₂⁶	1	128	yes	—
1338	C₄⋊C₄	C₂⁶	1	256	yes	—
1339	C₄⋊C₄	C₂⁶	1	128	yes	—
1340	C₄⋊C₄	C₂⁶	1	128	yes	—
1341	C₄⋊C₄	C₂⁶	1	128	yes	—
1342	C₄⋊C₄	C₂⁶	1	128	yes	—
1343	C₄⋊C₄	C₂⁶	1	128	yes	—
1344	C₂²⋊C₄	C₂⁶	1	128	yes	—
1345	C₂²⋊C₄	C₂⁶	1	128	yes	—
1346	C₂²⋊C₄	C₂⁶	1	128	yes	—
1347	C₂²⋊C₄	C₂⁶	1	256	yes	—
1348	C₂²⋊C₄	C₂⁶	1	256	yes	—
1349	C₂²⋊C₄	C₂⁶	1	128	yes	—
1350	C₂²⋊C₄	C₂⁶	1	64	yes	—
1351	C₂²⋊C₄	C₂⁶	1	64	yes	—
1352	C₂²⋊C₄	C₂⁶	1	256	yes	—
1353	C₂²⋊C₄	C₂⁶	1	256	yes	—
1354	C₂²⋊C₄	C₂⁶	1	128	yes	—
1355	C₂²⋊C₄	C₂⁶	1	128	yes	—
1356	C₂²⋊C₄	C₂⁶	1	128	yes	—
1357	C₂²⋊C₄	C₂⁶	1	256	yes	—
1358	C₂²⋊C₄	C₂⁶	1	128	yes	—
1359	C₂²⋊C₄	C₂⁶	1	256	yes	—
1360	C₂²⋊C₄	C₂⁶	1	128	yes	—
1361	C₂²⋊C₄	C₂⁶	1	128	yes	—
1362	C₂²⋊C₄	C₂⁶	1	128	yes	—
1363	C₂²⋊C₄	C₂⁶	1	128	yes	—
1364	C₄²	C₂⁶	1	64	yes	—
1365	C₄²	C₂⁶	1	64	yes	—
1366	C₄²	C₂⁶	1	64	yes	—
1367	C₄²	C₂⁶	1	128	yes	—
1368	C₄²	C₂⁶	1	64	yes	—
1369	C₄²	C₂⁶	1	256	yes	—
1370	C₂³	—	2	24	no	—
1371	C₂³	—	2	32	no	—
1372	C₂³	—	2	24	no	—
1373	C₂³	—	2	24	no	—
1374	C₂³	—	2	32	no	—
1375	C₂³	—	2	24	no	—
1376	C₂³	—	2	96	no	—
1377	C₂³	—	2	96	no	—
1378	C₂³	—	2	48	no	—
1379	C₂³	—	2	96	no	—
1380	C₂³	—	2	192	no	—
1381	C₂³	—	2	48	no	—
1382	C₂³	—	2	96	no	—
1383	C₂³	—	2	48	no	—
1384	C₂³	—	2	64	no	—
1385	C₂³	—	2	128	no	—
1386	C₂³	—	4	32	no	—
1387	C₂³	—	4	64	no	—
1388	C₂³	—	4	128	no	—
1389	C₂³	—	4	64	no	—
1390	C₂³	—	4	128	no	—
1391	C₂³	—	4	128	no	—
1392	C₂³	—	4	256	no	—
1393	C₂³	—	4	128	no	—
1394	C₂³	—	4	256	no	—
1395	C₂³	—	4	192	no	—
1396	C₂³	—	4	32	no	—
1397	C₂³	—	4	32	no	—
1398	C₂³	—	4	32	no	—
1399	C₂³	—	4	128	no	—
1400	C₂³	—	4	128	no	—
1401	C₂³	—	8	192	no	—
1402	C₂³	—	8	384	no	—
1403	C₂³	—	8	384	no	—
1404	C₂³	—	8	768	no	—
1405	C₂³	—	8	1024	no	—
1406	C₂³	—	16	384	no	—
1407	C₂³	C₂²×H(5,𝔽₂)	1	24	yes	—
1408	C₂³	C₂²×H(5,𝔽₂)	1	4	yes	—
1409	C₂³	H(7,𝔽₂)	1	8	yes	—
1410	C₂³	C₂⁷	1	8	yes	—
1411	C₂³	C₂⁷	1	32	yes	—
1412	C₂³	C₂⁷	1	8	yes	—
1413	C₂³	C₂⁷	1	32	yes	—
1414	C₂³	C₂⁷	1	8	yes	—
1415	C₂³	C₂⁷	1	4	yes	—
1416	C₂³	C₂⁷	1	3	yes	—
1417	Q₈	—	2	128	no	—
1418	Q₈	—	4	16	no	—
1419	Q₈	—	4	32	no	—
1420	Q₈	—	4	16	no	—
1421	Q₈	—	4	64	no	—
1422	Q₈	—	4	128	no	—
1423	D₄	—	2	256	no	—
1424	D₄	—	2	256	no	—
1425	D₄	—	2	128	no	—
1426	D₄	—	4	64	no	—
1427	D₄	—	4	64	no	—
1428	D₄	—	4	256	no	—
1429	D₄	—	4	32	no	—
1430	D₄	—	4	32	no	—
1431	D₄	—	4	16	no	—
1432	D₄	—	4	32	no	—
1433	D₄	—	4	16	no	—
1434	D₄	—	4	32	no	—
1435	D₄	—	4	32	no	—
1436	D₄	—	4	64	no	—
1437	D₄	—	4	128	no	—
1438	D₄	—	4	128	no	—
1439	D₄	—	4	256	no	—
1440	D₄	—	4	128	no	—
1441	D₄	—	4	256	no	—
1442	D₄	—	4	128	no	—
1443	D₄	—	4	128	no	—
1444	D₄	—	4	256	no	—
1445	D₄	—	4	256	no	—
1446	D₄	—	4	128	no	—
1447	C₂×C₄	—	2	24	no	—
1448	C₂×C₄	—	2	32	no	—
1449	C₂×C₄	—	2	12	no	—
1450	C₂×C₄	—	2	12	no	—
1451	C₂×C₄	—	2	24	no	—
1452	C₂×C₄	—	2	64	no	—
1453	C₂×C₄	—	2	96	no	—
1454	C₂×C₄	—	2	96	no	—
1455	C₂×C₄	—	2	96	no	—
1456	C₂×C₄	—	2	96	no	—
1457	C₂×C₄	—	2	64	no	—
1458	C₂×C₄	—	2	64	no	—
1459	C₂×C₄	—	2	64	no	—
1460	C₂×C₄	—	2	64	no	—
1461	C₂×C₄	—	2	64	no	—
1462	C₂×C₄	—	2	64	no	—
1463	C₂×C₄	—	2	256	no	—
1464	C₂×C₄	—	4	64	no	—
1465	C₂×C₄	—	4	128	no	—
1466	C₂×C₄	—	4	128	no	—
1467	C₂×C₄	—	4	64	no	—
1468	C₂×C₄	—	4	256	no	—
1469	C₂×C₄	—	4	256	no	—
1470	C₂×C₄	—	4	128	no	—
1471	C₂×C₄	C₂²×H(5,𝔽₂)	1	48	yes	—
1472	C₂×C₄	C₂²×H(5,𝔽₂)	1	64	yes	—
1473	C₂×C₄	C₂⁷	1	32	yes	—
1474	C₂×C₄	C₂⁷	1	8	yes	—
1475	C₂×C₄	C₂⁷	1	32	yes	—
1476	C₂×C₄	C₂⁷	1	4	yes	—
1477	C₂×C₄	C₂⁷	1	4	yes	—
1478	C₂×C₄	C₂⁷	1	32	yes	—
1479	C₂×C₄	C₂⁷	1	32	yes	—
1480	C₂×C₄	C₂⁷	1	8	yes	—
1481	C₂×C₄	C₂⁷	1	8	yes	—
1482	C₂²	—	2	48	no	—
1483	C₂²	—	2	8	no	—
1484	C₂²	—	2	8	no	—
1485	C₂²	—	2	8	no	—
1486	C₂²	—	2	8	no	—
1487	C₂²	—	2	32	no	—
1488	C₂²	—	2	32	no	—
1489	C₂²	—	2	16	no	—
1490	C₂²	—	2	32	no	—
1491	C₂²	—	2	64	no	—
1492	C₂²	—	2	16	no	—
1493	C₂²	—	2	32	no	—
1494	C₂²	—	2	16	no	—
1495	C₂²	—	4	64	no	—
1496	C₂²	—	4	48	no	—
1497	C₂²	—	4	48	no	—
1498	C₂²	—	4	48	no	—
1499	C₂²	—	4	192	no	—
1500	C₂²	—	4	192	no	—
1501	C₂²	—	8	64	no	—
1502	C₂²	—	8	128	no	—
1503	C₂²	—	8	128	no	—
1504	C₂²	—	8	256	no	—
1505	C₂²	—	16	128	no	—
1506	C₂²	#62874	1	16	yes	direct product factor
1507	C₂²	C₂³×H(5,𝔽₂)	1	8	yes	—
1508	C₂²	C₂³×H(5,𝔽₂)	1	6	yes	—
1509	C₂²	C₂×H(7,𝔽₂)	1	12	yes	—
1510	C₂²	C₂⁸	1	1	yes	characteristic
1511	C₄	—	2	8	no	—
1512	C₄	—	2	4	no	—
1513	C₄	—	2	4	no	—
1514	C₄	—	2	8	no	—
1515	C₄	—	2	32	no	—
1516	C₄	—	2	32	no	—
1517	C₄	—	2	32	no	—
1518	C₄	—	2	32	no	—
1519	C₄	C₂³×H(5,𝔽₂)	1	16	yes	—
1520	C₂	—	2	8	no	—
1521	C₂	—	4	8	no	—
1522	C₂	—	4	8	no	—
1523	C₂	—	4	8	no	—
1524	C₂	—	4	32	no	—
1525	C₂	—	4	32	no	—
1526	C₂	C₂×#62874	1	12	yes	direct product factor
1527	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
1528	C₂	C₂²×H(7,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁸
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#62874	C₂	direct (N × H)
2. C₂²×#3549	C₂	semidirect
3. C₂²×#3545	C₂	semidirect
4. C₂²×#3546	C₂	semidirect
5. C₂²×#3543	C₂	semidirect
6. C₂²×#3551	C₂	semidirect
7. C₂²×#3540	C₂	semidirect
8. C₂²×#3537	C₂	semidirect
9. C₂²×#3542	C₂	semidirect
10. C₂²×#3532	C₂	semidirect
11. C₂²×#3494	C₂	semidirect
12. C₂²×#3488	C₂	semidirect
13. C₂²×#3493	C₂	semidirect
14. C₂²×#3484	C₂	semidirect
15. C₂²×#3449	C₂	semidirect
16. C₂³×#535	C₂	semidirect
17. C₂³×H(5,𝔽₂)	C₂²	semidirect
18. C₂⁴×#41	C₂²	semidirect
19. C₂⁴×#41	C₂²	semidirect
20. C₂⁵×D₄	C₂²	semidirect
21. #62874	C₂²	direct (N × H)
22. C₂×#3494	C₂²	semidirect
23. C₂×#3488	C₂²	semidirect
24. C₂×#3493	C₂²	semidirect
25. C₂×#3484	C₂²	semidirect
26. C₂×#3549	C₂²	semidirect
27. C₂×#3545	C₂²	semidirect
28. C₂×#3546	C₂²	semidirect
29. C₂×#3543	C₂²	semidirect
30. C₂×#3551	C₂²	semidirect
31. C₂×#3540	C₂²	semidirect
32. C₂×#3537	C₂²	semidirect
33. C₂×#3542	C₂²	semidirect
34. C₂×#3532	C₂²	semidirect
35. C₂²×#559	C₂²	semidirect
36. C₂²×#555	C₂²	semidirect
37. C₂²×#555	C₂²	semidirect
38. C₂²×#555	C₂²	semidirect
39. C₂²×#556	C₂²	semidirect
40. C₂²×#553	C₂²	semidirect
41. C₂²×#553	C₂²	semidirect
42. C₂²×#553	C₂²	semidirect
43. C₂²×#552	C₂²	semidirect
44. C₂²×#551	C₂²	semidirect
45. C₂²×#551	C₂²	semidirect
46. C₂²×#551	C₂²	semidirect
47. C₂²×#550	C₂²	semidirect
48. C₂²×#550	C₂²	semidirect
49. C₂²×#547	C₂²	semidirect
50. C₂²×#548	C₂²	semidirect
51. C₂²×#546	C₂²	semidirect
52. C₂²×#546	C₂²	semidirect
53. C₂²×#546	C₂²	semidirect
54. C₂²×#546	C₂²	semidirect
55. C₂²×#546	C₂²	semidirect
56. C₂²×#546	C₂²	semidirect
57. C₂²×D₄²	C₂²	semidirect
58. C₂²×D₄²	C₂²	semidirect
59. C₂²×D₄²	C₂²	semidirect
60. C₂²×D₄²	C₂²	semidirect
61. C₂²×D₄²	C₂²	semidirect
62. C₂²×D₄²	C₂²	semidirect
63. C₂²×#563	C₂²	semidirect
64. C₂²×#562	C₂²	semidirect
65. C₂²×H(3,𝔽₄)	C₂²	semidirect
66. C₂²×H(3,𝔽₄)	C₂²	semidirect
67. C₂²×#560	C₂²	semidirect
68. C₂²×#560	C₂²	semidirect
69. C₂²×#560	C₂²	semidirect
70. C₂²×#560	C₂²	semidirect
71. C₂×#3449	C₂²	semidirect
72. C₂²×#536	C₂²	semidirect
73. C₂²×#536	C₂²	semidirect
74. C₂²×#536	C₂²	semidirect
75. C₂²×#542	C₂²	semidirect
76. C₂²×#542	C₂²	semidirect
77. C₂²×#540	C₂²	semidirect
78. C₂²×#540	C₂²	semidirect
79. C₂²×#544	C₂²	semidirect
80. C₂²×#537	C₂²	semidirect
81. C₂²×#537	C₂²	semidirect
82. C₂²×#537	C₂²	semidirect
83. C₂²×#537	C₂²	semidirect
84. C₂²×#535	C₂²	semidirect
85. C₂²×#535	C₂²	semidirect
86. C₂²×#535	C₂²	semidirect
87. C₂²×#535	C₂²	semidirect
88. C₂²×#535	C₂²	semidirect
89. C₂²×#535	C₂²	semidirect
90. C₂²×#535	C₂²	semidirect
91. C₂²×#535	C₂²	semidirect
92. C₂²×#535	C₂²	semidirect
93. C₂²×#535	C₂²	semidirect
94. C₂²×#535	C₂²	semidirect
95. C₂²×#535	C₂²	semidirect
96. C₂²×#538	C₂²	semidirect
97. C₂²×#538	C₂²	semidirect
98. C₂²×#538	C₂²	semidirect
99. C₂²×#538	C₂²	semidirect
100. C₂²×#534	C₂²	semidirect
101. C₂²×#534	C₂²	semidirect
102. C₂²×#534	C₂²	semidirect
103. C₂²×#534	C₂²	semidirect
104. C₂²×#532	C₂²	semidirect
105. C₂²×#532	C₂²	semidirect
106. C₂²×#532	C₂²	semidirect
107. C₂³×#127	C₂²	semidirect
108. C₂²×#529	C₂²	semidirect
109. C₂²×#529	C₂²	semidirect
110. C₂³×#124	C₂²	semidirect
111. C₂²×#525	C₂²	semidirect
112. C₂²×#525	C₂²	semidirect
113. C₂²×#525	C₂²	semidirect
114. C₂²×#525	C₂²	semidirect
115. C₂²×#525	C₂²	semidirect
116. C₂³×#121	C₂²	semidirect
117. C₂³×#121	C₂²	semidirect
118. C₂³×#120	C₂²	semidirect
119. C₂³×#120	C₂²	semidirect
120. C₂²×#520	C₂²	semidirect
121. C₂²×#518	C₂²	semidirect
122. C₂³×#117	C₂²	semidirect
123. C₂³×#117	C₂²	semidirect
126. C₂²×H(5,𝔽₂)	C₂³	semidirect
136. C₂³×#41	C₂³	semidirect
137. C₂³×#41	C₂³	semidirect
138. C₂³×#41	C₂³	semidirect
139. C₂³×#41	C₂³	semidirect
140. C₂³×#41	C₂³	semidirect
142. C₂⁴×Q₈	C₂³	semidirect
155. C₂⁴×D₄	C₂³	semidirect
156. C₂⁴×D₄	C₂³	semidirect
157. C₂⁴×D₄	C₂³	semidirect
160. C₂⁵×C₄	C₂³	semidirect
161. #3551	C₂³	semidirect
162. #3549	C₂³	semidirect
163. #3546	C₂³	semidirect
164. #3545	C₂³	semidirect
165. #3543	C₂³	semidirect
166. #3542	C₂³	semidirect
167. #3540	C₂³	semidirect
168. #3537	C₂³	semidirect
169. #3532	C₂³	semidirect
170. C₂×#563	C₂³	semidirect
171. C₂×#562	C₂³	semidirect
172. C₂×H(3,𝔽₄)	C₂³	semidirect
173. C₂×H(3,𝔽₄)	C₂³	semidirect
174. C₂×#560	C₂³	semidirect
175. C₂×#560	C₂³	semidirect
176. C₂×#560	C₂³	semidirect
177. C₂×#560	C₂³	semidirect
178. #3494	C₂³	semidirect
179. #3493	C₂³	semidirect
180. #3488	C₂³	semidirect
181. #3484	C₂³	semidirect
182. C₂×#559	C₂³	semidirect
183. C₂×#556	C₂³	semidirect
184. C₂×#555	C₂³	semidirect
185. C₂×#555	C₂³	semidirect
186. C₂×#555	C₂³	semidirect
187. C₂×#553	C₂³	semidirect
188. C₂×#553	C₂³	semidirect
189. C₂×#553	C₂³	semidirect
190. C₂×#552	C₂³	semidirect
191. C₂×#551	C₂³	semidirect
192. C₂×#551	C₂³	semidirect
193. C₂×#551	C₂³	semidirect
194. C₂×#550	C₂³	semidirect
195. C₂×#550	C₂³	semidirect
196. C₂×#548	C₂³	semidirect
197. C₂×#547	C₂³	semidirect
198. C₂×#546	C₂³	semidirect
199. C₂×#546	C₂³	semidirect
200. C₂×#546	C₂³	semidirect
201. C₂×#546	C₂³	semidirect
202. C₂×#546	C₂³	semidirect
203. C₂×#546	C₂³	semidirect
204. C₂×D₄²	C₂³	semidirect
205. C₂×D₄²	C₂³	semidirect
206. C₂×D₄²	C₂³	semidirect
207. C₂×D₄²	C₂³	semidirect
208. C₂×D₄²	C₂³	semidirect
209. C₂×D₄²	C₂³	semidirect
210. C₂×#544	C₂³	semidirect
211. C₂×#542	C₂³	semidirect
212. C₂×#542	C₂³	semidirect
213. C₂×#540	C₂³	semidirect
214. C₂×#540	C₂³	semidirect
215. C₂×#538	C₂³	semidirect
216. C₂×#538	C₂³	semidirect
217. C₂×#538	C₂³	semidirect
218. C₂×#538	C₂³	semidirect
219. #3449	C₂³	semidirect
220. C₂×#537	C₂³	semidirect
221. C₂×#537	C₂³	semidirect
222. C₂×#537	C₂³	semidirect
223. C₂×#537	C₂³	semidirect
224. C₂×#536	C₂³	semidirect
225. C₂×#536	C₂³	semidirect
226. C₂×#536	C₂³	semidirect
227. C₂×#535	C₂³	semidirect
228. C₂×#535	C₂³	semidirect
229. C₂×#535	C₂³	semidirect
230. C₂×#535	C₂³	semidirect
231. C₂×#535	C₂³	semidirect
232. C₂×#535	C₂³	semidirect
233. C₂×#535	C₂³	semidirect
234. C₂×#535	C₂³	semidirect
235. C₂×#535	C₂³	semidirect
236. C₂×#535	C₂³	semidirect
237. C₂×#535	C₂³	semidirect
238. C₂×#535	C₂³	semidirect
239. C₂×#534	C₂³	semidirect
240. C₂×#534	C₂³	semidirect
241. C₂×#534	C₂³	semidirect
242. C₂×#534	C₂³	semidirect
243. C₂×#532	C₂³	semidirect
244. C₂×#532	C₂³	semidirect
245. C₂×#532	C₂³	semidirect
246. C₂²×C₄⋊Q₈	C₂³	semidirect
247. C₂²×C₄⋊Q₈	C₂³	semidirect
248. C₂²×C₄⋊Q₈	C₂³	semidirect
255. C₂²×#127	C₂³	semidirect
256. C₂²×#127	C₂³	semidirect
257. C₂×#529	C₂³	semidirect
258. C₂×#529	C₂³	semidirect
260. C₂²×#126	C₂³	semidirect
261. C₂²×#126	C₂³	semidirect
262. C₂²×#126	C₂³	semidirect
263. C₂²×#125	C₂³	semidirect
264. C₂²×#125	C₂³	semidirect
272. C₂²×#124	C₂³	semidirect
273. C₂²×#124	C₂³	semidirect
274. C₂²×#124	C₂³	semidirect
275. C₂²×#124	C₂³	semidirect
276. C₂²×#124	C₂³	semidirect
277. C₂²×#124	C₂³	semidirect
278. C₂²×#124	C₂³	semidirect
279. C₂×#525	C₂³	semidirect
280. C₂×#525	C₂³	semidirect
281. C₂×#525	C₂³	semidirect
282. C₂×#525	C₂³	semidirect
283. C₂×#525	C₂³	semidirect
291. C₂²×#123	C₂³	semidirect
292. C₂²×#123	C₂³	semidirect
293. C₂²×#123	C₂³	semidirect
294. C₂²×#123	C₂³	semidirect
295. C₂²×#123	C₂³	semidirect
296. C₂²×#123	C₂³	semidirect
297. C₂²×#123	C₂³	semidirect
301. C₂²×C₂²⋊Q₈	C₂³	semidirect
302. C₂²×C₂²⋊Q₈	C₂³	semidirect
303. C₂²×C₂²⋊Q₈	C₂³	semidirect
304. C₂²×C₂²⋊Q₈	C₂³	semidirect
305. C₂²×C₂²⋊Q₈	C₂³	semidirect
306. C₂²×C₂²⋊Q₈	C₂³	semidirect
307. C₂²×C₂²⋊Q₈	C₂³	semidirect
324. C₂²×#121	C₂³	semidirect
325. C₂²×#121	C₂³	semidirect
326. C₂²×#121	C₂³	semidirect
327. C₂²×#121	C₂³	semidirect
328. C₂²×#121	C₂³	semidirect
329. C₂²×#121	C₂³	semidirect
330. C₂²×#121	C₂³	semidirect
331. C₂²×#121	C₂³	semidirect
332. C₂²×#121	C₂³	semidirect
333. C₂²×#121	C₂³	semidirect
334. C₂²×#121	C₂³	semidirect
335. C₂²×#121	C₂³	semidirect
336. C₂²×#121	C₂³	semidirect
337. C₂²×#121	C₂³	semidirect
338. C₂²×#121	C₂³	semidirect
352. C₂²×#120	C₂³	semidirect
353. C₂²×#120	C₂³	semidirect
354. C₂²×#120	C₂³	semidirect
355. C₂²×#120	C₂³	semidirect
356. C₂²×#120	C₂³	semidirect
357. C₂²×#120	C₂³	semidirect
358. C₂²×#120	C₂³	semidirect
359. C₂×#520	C₂³	semidirect
360. C₂×#518	C₂³	semidirect
361. C₂²×C₄×Q₈	C₂³	semidirect
362. C₂²×C₄×Q₈	C₂³	semidirect
368. C₂²×C₄×D₄	C₂³	semidirect
369. C₂²×C₄×D₄	C₂³	semidirect
370. C₂²×C₄×D₄	C₂³	semidirect
371. C₂²×C₄×D₄	C₂³	semidirect
372. C₂²×C₄×D₄	C₂³	semidirect
373. C₂²×C₄×D₄	C₂³	semidirect
374. C₂²×C₄×D₄	C₂³	semidirect
375. C₂²×C₄×D₄	C₂³	semidirect
380. C₂²×#117	C₂³	semidirect
381. C₂²×#117	C₂³	semidirect
382. C₂²×#117	C₂³	semidirect
383. C₂²×#117	C₂³	semidirect
384. C₂²×#117	C₂³	semidirect
385. C₂²×#117	C₂³	semidirect
386. C₂²×#117	C₂³	semidirect
387. C₂²×#117	C₂³	semidirect
389. C₂³×C₄⋊C₄	C₂³	semidirect
390. C₂³×C₄⋊C₄	C₂³	semidirect
396. C₂³×C₂²⋊C₄	C₂³	semidirect
398. C₂³×C₄²	C₂³	semidirect
409. C₂×H(5,𝔽₂)	C₂⁴	semidirect
429. C₂²×#41	C₂⁴	semidirect
430. C₂²×#41	C₂⁴	semidirect
431. C₂²×#41	C₂⁴	semidirect
432. C₂²×#41	C₂⁴	semidirect
433. C₂²×#41	C₂⁴	semidirect
443. C₂³×Q₈	C₂⁴	semidirect
493. C₂³×D₄	C₂⁴	semidirect
494. C₂³×D₄	C₂⁴	semidirect
495. C₂³×D₄	C₂⁴	semidirect
518. C₂⁴×C₄	C₂⁴	semidirect
519. #563	C₂⁴	semidirect
520. #562	C₂⁴	semidirect
521. H(3,𝔽₄)	C₂⁴	semidirect
522. H(3,𝔽₄)	C₂⁴	semidirect
523. #560	C₂⁴	semidirect
524. #560	C₂⁴	semidirect
525. #560	C₂⁴	semidirect
526. #560	C₂⁴	semidirect
527. #559	C₂⁴	semidirect
528. #556	C₂⁴	semidirect
529. #555	C₂⁴	semidirect
530. #555	C₂⁴	semidirect
531. #555	C₂⁴	semidirect
532. #553	C₂⁴	semidirect
533. #553	C₂⁴	semidirect
534. #553	C₂⁴	semidirect
535. #552	C₂⁴	semidirect
536. #551	C₂⁴	semidirect
537. #551	C₂⁴	semidirect
538. #551	C₂⁴	semidirect
539. #550	C₂⁴	semidirect
540. #550	C₂⁴	semidirect
541. #548	C₂⁴	semidirect
542. #547	C₂⁴	semidirect
543. #546	C₂⁴	semidirect
544. #546	C₂⁴	semidirect
545. #546	C₂⁴	semidirect
546. #546	C₂⁴	semidirect
547. #546	C₂⁴	semidirect
548. #546	C₂⁴	semidirect
549. D₄²	C₂⁴	semidirect
550. D₄²	C₂⁴	semidirect
551. D₄²	C₂⁴	semidirect
552. D₄²	C₂⁴	semidirect
553. D₄²	C₂⁴	semidirect
554. D₄²	C₂⁴	semidirect
555. #544	C₂⁴	semidirect
556. #542	C₂⁴	semidirect
557. #542	C₂⁴	semidirect
558. #540	C₂⁴	semidirect
559. #540	C₂⁴	semidirect
560. #538	C₂⁴	semidirect
561. #538	C₂⁴	semidirect
562. #538	C₂⁴	semidirect
563. #538	C₂⁴	semidirect
564. #537	C₂⁴	semidirect
565. #537	C₂⁴	semidirect
566. #537	C₂⁴	semidirect
567. #537	C₂⁴	semidirect
568. #536	C₂⁴	semidirect
569. #536	C₂⁴	semidirect
570. #536	C₂⁴	semidirect
571. #535	C₂⁴	semidirect
572. #535	C₂⁴	semidirect
573. #535	C₂⁴	semidirect
574. #535	C₂⁴	semidirect
575. #535	C₂⁴	semidirect
576. #535	C₂⁴	semidirect
577. #535	C₂⁴	semidirect
578. #535	C₂⁴	semidirect
579. #535	C₂⁴	semidirect
580. #535	C₂⁴	semidirect
581. #535	C₂⁴	semidirect
582. #534	C₂⁴	semidirect
583. #534	C₂⁴	semidirect
584. #534	C₂⁴	semidirect
585. #534	C₂⁴	semidirect
586. #532	C₂⁴	semidirect
587. #532	C₂⁴	semidirect
588. #532	C₂⁴	semidirect
589. C₂×C₄⋊Q₈	C₂⁴	semidirect
590. C₂×C₄⋊Q₈	C₂⁴	semidirect
591. C₂×C₄⋊Q₈	C₂⁴	semidirect
598. C₂×#127	C₂⁴	semidirect
599. C₂×#127	C₂⁴	semidirect
600. #529	C₂⁴	semidirect
601. #529	C₂⁴	semidirect
603. C₂×#126	C₂⁴	semidirect
604. C₂×#126	C₂⁴	semidirect
605. C₂×#126	C₂⁴	semidirect
606. C₂×#125	C₂⁴	semidirect
607. C₂×#125	C₂⁴	semidirect
615. C₂×#124	C₂⁴	semidirect
616. C₂×#124	C₂⁴	semidirect
617. C₂×#124	C₂⁴	semidirect
618. C₂×#124	C₂⁴	semidirect
619. C₂×#124	C₂⁴	semidirect
620. C₂×#124	C₂⁴	semidirect
621. C₂×#124	C₂⁴	semidirect
622. #525	C₂⁴	semidirect
623. #525	C₂⁴	semidirect
624. #525	C₂⁴	semidirect
625. #525	C₂⁴	semidirect
626. #525	C₂⁴	semidirect
634. C₂×#123	C₂⁴	semidirect
635. C₂×#123	C₂⁴	semidirect
636. C₂×#123	C₂⁴	semidirect
637. C₂×#123	C₂⁴	semidirect
638. C₂×#123	C₂⁴	semidirect
639. C₂×#123	C₂⁴	semidirect
640. C₂×#123	C₂⁴	semidirect
644. C₂×C₂²⋊Q₈	C₂⁴	semidirect
645. C₂×C₂²⋊Q₈	C₂⁴	semidirect
646. C₂×C₂²⋊Q₈	C₂⁴	semidirect
647. C₂×C₂²⋊Q₈	C₂⁴	semidirect
648. C₂×C₂²⋊Q₈	C₂⁴	semidirect
649. C₂×C₂²⋊Q₈	C₂⁴	semidirect
650. C₂×C₂²⋊Q₈	C₂⁴	semidirect
667. C₂×#121	C₂⁴	semidirect
668. C₂×#121	C₂⁴	semidirect
669. C₂×#121	C₂⁴	semidirect
670. C₂×#121	C₂⁴	semidirect
671. C₂×#121	C₂⁴	semidirect
672. C₂×#121	C₂⁴	semidirect
673. C₂×#121	C₂⁴	semidirect
674. C₂×#121	C₂⁴	semidirect
675. C₂×#121	C₂⁴	semidirect
676. C₂×#121	C₂⁴	semidirect
677. C₂×#121	C₂⁴	semidirect
678. C₂×#121	C₂⁴	semidirect
679. C₂×#121	C₂⁴	semidirect
680. C₂×#121	C₂⁴	semidirect
681. C₂×#121	C₂⁴	semidirect
695. C₂×#120	C₂⁴	semidirect
696. C₂×#120	C₂⁴	semidirect
697. C₂×#120	C₂⁴	semidirect
698. C₂×#120	C₂⁴	semidirect
699. C₂×#120	C₂⁴	semidirect
700. C₂×#120	C₂⁴	semidirect
701. C₂×#120	C₂⁴	semidirect
702. #520	C₂⁴	semidirect
703. #518	C₂⁴	semidirect
704. C₂×C₄×Q₈	C₂⁴	semidirect
705. C₂×C₄×Q₈	C₂⁴	semidirect
711. C₂×C₄×D₄	C₂⁴	semidirect
712. C₂×C₄×D₄	C₂⁴	semidirect
713. C₂×C₄×D₄	C₂⁴	semidirect
714. C₂×C₄×D₄	C₂⁴	semidirect
715. C₂×C₄×D₄	C₂⁴	semidirect
716. C₂×C₄×D₄	C₂⁴	semidirect
717. C₂×C₄×D₄	C₂⁴	semidirect
718. C₂×C₄×D₄	C₂⁴	semidirect
723. C₂×#117	C₂⁴	semidirect
724. C₂×#117	C₂⁴	semidirect
725. C₂×#117	C₂⁴	semidirect
726. C₂×#117	C₂⁴	semidirect
727. C₂×#117	C₂⁴	semidirect
728. C₂×#117	C₂⁴	semidirect
729. C₂×#117	C₂⁴	semidirect
730. C₂×#117	C₂⁴	semidirect
744. C₂²×C₄⋊C₄	C₂⁴	semidirect
745. C₂²×C₄⋊C₄	C₂⁴	semidirect
771. C₂²×C₂²⋊C₄	C₂⁴	semidirect
779. C₂²×C₄²	C₂⁴	semidirect
828. C₂×#41	C₂⁵	semidirect
829. C₂×#41	C₂⁵	semidirect
830. C₂×#41	C₂⁵	semidirect
846. C₂²×Q₈	C₂⁵	semidirect
920. C₂²×D₄	C₂⁵	semidirect
921. C₂²×D₄	C₂⁵	semidirect
970. C₂³×C₄	C₂⁵	semidirect
971. C₄⋊Q₈	C₂⁵	semidirect
972. C₄⋊Q₈	C₂⁵	semidirect
973. C₄⋊Q₈	C₂⁵	semidirect
980. #127	C₂⁵	semidirect
982. #126	C₂⁵	semidirect
983. #126	C₂⁵	semidirect
984. #126	C₂⁵	semidirect
985. #125	C₂⁵	semidirect
986. #125	C₂⁵	semidirect
994. #124	C₂⁵	semidirect
995. #124	C₂⁵	semidirect
996. #124	C₂⁵	semidirect
997. #124	C₂⁵	semidirect
998. #124	C₂⁵	semidirect
999. #124	C₂⁵	semidirect
1007. #123	C₂⁵	semidirect
1008. #123	C₂⁵	semidirect
1009. #123	C₂⁵	semidirect
1010. #123	C₂⁵	semidirect
1011. #123	C₂⁵	semidirect
1012. #123	C₂⁵	semidirect
1013. #123	C₂⁵	semidirect
1017. C₂²⋊Q₈	C₂⁵	semidirect
1018. C₂²⋊Q₈	C₂⁵	semidirect
1019. C₂²⋊Q₈	C₂⁵	semidirect
1020. C₂²⋊Q₈	C₂⁵	semidirect
1021. C₂²⋊Q₈	C₂⁵	semidirect
1022. C₂²⋊Q₈	C₂⁵	semidirect
1023. C₂²⋊Q₈	C₂⁵	semidirect
1040. #121	C₂⁵	semidirect
1041. #121	C₂⁵	semidirect
1042. #121	C₂⁵	semidirect
1043. #121	C₂⁵	semidirect
1044. #121	C₂⁵	semidirect
1045. #121	C₂⁵	semidirect
1046. #121	C₂⁵	semidirect
1047. #121	C₂⁵	semidirect
1048. #121	C₂⁵	semidirect
1049. #121	C₂⁵	semidirect
1050. #121	C₂⁵	semidirect
1051. #121	C₂⁵	semidirect
1052. #121	C₂⁵	semidirect
1066. #120	C₂⁵	semidirect
1067. #120	C₂⁵	semidirect
1068. #120	C₂⁵	semidirect
1069. #120	C₂⁵	semidirect
1070. #120	C₂⁵	semidirect
1071. C₄×Q₈	C₂⁵	semidirect
1072. C₄×Q₈	C₂⁵	semidirect
1078. C₄×D₄	C₂⁵	semidirect
1079. C₄×D₄	C₂⁵	semidirect
1080. C₄×D₄	C₂⁵	semidirect
1081. C₄×D₄	C₂⁵	semidirect
1082. C₄×D₄	C₂⁵	semidirect
1083. C₄×D₄	C₂⁵	semidirect
1084. C₄×D₄	C₂⁵	semidirect
1085. C₄×D₄	C₂⁵	semidirect
1090. #117	C₂⁵	semidirect
1091. #117	C₂⁵	semidirect
1092. #117	C₂⁵	semidirect
1093. #117	C₂⁵	semidirect
1094. #117	C₂⁵	semidirect
1095. #117	C₂⁵	semidirect
1109. C₂×C₄⋊C₄	C₂⁵	semidirect
1110. C₂×C₄⋊C₄	C₂⁵	semidirect
1136. C₂×C₂²⋊C₄	C₂⁵	semidirect
1144. C₂×C₄²	C₂⁵	semidirect
1506. C₂²	#62874	direct (N × H)
1526. C₂	C₂×#62874	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#62874	2
C₂²×#3549	2
C₂²×#3545	2
C₂²×#3546	2
C₂²×#3543	2
C₂²×#3551	2
C₂²×#3540	2
C₂²×#3537	2
C₂²×#3542	2
C₂²×#3532	2
C₂²×#3494	2
C₂²×#3488	2
C₂²×#3493	2
C₂²×#3484	2
C₂²×#3449	2
C₂³×#535	2

Subgroups — C22×#62874 #72301079

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#62874 #72301079