Subgroups — C₂²×#62992 #72299716

Order 1024.

476013 conjugacy classes of subgroups.

The subgroup lattice has 1569 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#62992	C₂	1	192	yes	maximal, direct product factor
2	C₂²×#3512	C₂	1	4	yes	maximal, complemented
3	C₂²×#3511	C₂	1	2	yes	maximal, complemented
4	C₂²×#3521	C₂	1	8	yes	maximal, complemented
5	C₂²×#3515	C₂	1	4	yes	maximal, complemented
6	C₂²×#3519	C₂	1	4	yes	maximal, complemented
7	C₂²×#3513	C₂	1	8	yes	maximal, complemented
8	C₂²×#3505	C₂	1	4	yes	maximal, complemented
9	C₂²×#3505	C₂	1	8	yes	maximal, complemented
10	C₂²×#3496	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#3496	C₂	1	2	yes	maximal, complemented
12	C₂²×#3481	C₂	1	4	yes	maximal, complemented
13	C₂²×#3480	C₂	1	2	yes	maximal, complemented
14	C₂²×#3475	C₂	1	4	yes	maximal, complemented
15	C₂³×#553	C₂	1	4	yes	maximal, complemented
16	C₂³×#554	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₄×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
19	C₂³×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
20	C₂³×H(5,𝔽₂)	C₂²	1	2	yes	—
21	#62992	C₂²	1	4096	yes	direct product factor
22	C₂×#3512	C₂²	1	384	yes	complemented
23	C₂×#3511	C₂²	1	192	yes	complemented
24	C₂×#3521	C₂²	1	768	yes	complemented
25	C₂×#3515	C₂²	1	384	yes	complemented
26	C₂×#3519	C₂²	1	384	yes	complemented
27	C₂×#3513	C₂²	1	768	yes	complemented
28	C₂×#3505	C₂²	1	768	yes	complemented
29	C₂×#3505	C₂²	1	384	yes	complemented
30	C₂×#3496	C₂²	1	96	yes	complemented
31	C₂×#3496	C₂²	1	192	yes	complemented
32	C₂×#3481	C₂²	1	384	yes	complemented
33	C₂×#3480	C₂²	1	192	yes	complemented
34	C₂²×#559	C₂²	1	2	yes	complemented
35	C₂²×#559	C₂²	1	4	yes	complemented
36	C₂²×#557	C₂²	1	2	yes	complemented
37	C₂×#3475	C₂²	1	384	yes	complemented
38	C₂²×#555	C₂²	1	4	yes	complemented
39	C₂²×#556	C₂²	1	2	yes	complemented
40	C₂²×#556	C₂²	1	4	yes	complemented
41	C₂²×#556	C₂²	1	4	yes	complemented
42	C₂²×#553	C₂²	1	4	yes	complemented
43	C₂²×#553	C₂²	1	8	yes	complemented
44	C₂²×#553	C₂²	1	8	yes	complemented
45	C₂²×#553	C₂²	1	16	yes	complemented
46	C₂²×#553	C₂²	1	16	yes	complemented
47	C₂²×#553	C₂²	1	8	yes	complemented
48	C₂²×#553	C₂²	1	8	yes	complemented
49	C₂²×#553	C₂²	1	8	yes	complemented
50	C₂²×#553	C₂²	1	16	yes	complemented
51	C₂²×#553	C₂²	1	8	yes	complemented
52	C₂²×#553	C₂²	1	384	yes	complemented
53	C₂²×#552	C₂²	1	8	yes	complemented
54	C₂²×#552	C₂²	1	8	yes	complemented
55	C₂²×#552	C₂²	1	16	yes	complemented
56	C₂²×#552	C₂²	1	8	yes	complemented
57	C₂²×#551	C₂²	1	16	yes	complemented
58	C₂²×#551	C₂²	1	16	yes	complemented
59	C₂²×#551	C₂²	1	16	yes	complemented
60	C₂²×#554	C₂²	1	4	yes	complemented
61	C₂²×#554	C₂²	1	8	yes	complemented
62	C₂²×#554	C₂²	1	4	yes	complemented
63	C₂²×#554	C₂²	1	4	yes	complemented
64	C₂²×#554	C₂²	1	96	yes	complemented
65	C₂²×#550	C₂²	1	2	yes	complemented
66	C₂²×#547	C₂²	1	4	yes	complemented
67	C₂²×#547	C₂²	1	8	yes	complemented
68	C₂²×#547	C₂²	1	4	yes	complemented
69	C₂²×#548	C₂²	1	4	yes	complemented
70	C₂²×#548	C₂²	1	8	yes	complemented
71	C₂²×#546	C₂²	1	8	yes	complemented
72	C₂²×#546	C₂²	1	8	yes	complemented
73	C₂²×#546	C₂²	1	8	yes	complemented
74	C₂²×#546	C₂²	1	8	yes	complemented
75	C₂²×#546	C₂²	1	16	yes	complemented
76	C₂²×D₄²	C₂²	1	4	yes	complemented
77	C₂²×D₄²	C₂²	1	8	yes	complemented
78	C₂²×#541	C₂²	1	8	yes	complemented
79	C₂²×#542	C₂²	1	8	yes	complemented
80	C₂²×#540	C₂²	1	8	yes	complemented
81	C₂²×#537	C₂²	1	4	yes	complemented
82	C₂²×#537	C₂²	1	2	yes	complemented
83	C₂²×#539	C₂²	1	16	yes	complemented
84	C₂²×#539	C₂²	1	8	yes	complemented
85	C₂²×#538	C₂²	1	8	yes	complemented
86	C₂²×#538	C₂²	1	16	yes	complemented
87	C₂²×#534	C₂²	1	8	yes	complemented
88	C₂²×#534	C₂²	1	4	yes	complemented
89	C₂²×#533	C₂²	1	4	yes	complemented
90	C₂²×#532	C₂²	1	2	yes	complemented
91	C₂²×#532	C₂²	1	4	yes	complemented
92	C₂²×#532	C₂²	1	4	yes	complemented
93	C₂³×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
94	C₂²×#529	C₂²	1	16	yes	complemented
95	C₂²×#529	C₂²	1	8	yes	complemented
96	C₂²×#529	C₂²	1	8	yes	complemented
97	C₂²×#529	C₂²	1	4	yes	complemented
98	C₂²×#529	C₂²	1	8	yes	complemented
99	C₂²×#529	C₂²	1	8	yes	complemented
100	C₂³×#126	C₂²	1	8	yes	complemented
101	C₂³×#125	C₂²	1	2	yes	complemented
102	C₂³×#125	C₂²	1	4	yes	complemented
103	C₂²×#525	C₂²	1	8	yes	complemented
104	C₂²×#525	C₂²	1	16	yes	complemented
105	C₂³×#123	C₂²	1	8	yes	complemented
106	C₂³×C₂²⋊Q₈	C₂²	1	2	yes	complemented
107	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	complemented
108	C₂³×#121	C₂²	1	4	yes	complemented
109	C₂³×#121	C₂²	1	8	yes	complemented
110	C₂³×#121	C₂²	1	4	yes	complemented
111	C₂×C₄×H(5,𝔽₂)	C₂²	1	192	yes	complemented
112	C₂×C₄×H(5,𝔽₂)	C₂²	1	96	yes	complemented
113	C₂²×#520	C₂²	1	8	yes	complemented
114	C₂²×#520	C₂²	1	4	yes	complemented
115	C₂²×#520	C₂²	1	4	yes	complemented
116	C₂²×#520	C₂²	1	2	yes	complemented
117	C₂²×#518	C₂²	1	1	yes	characteristic
118	C₂²×#518	C₂²	1	8	yes	complemented
119	C₂²×#518	C₂²	1	4	yes	complemented
120	C₂²×#518	C₂²	1	4	yes	complemented
121	C₂²×#518	C₂²	1	8	yes	complemented
122	C₂²×C₄×#41	C₂²	1	8	yes	complemented
123	C₂²×C₄×#41	C₂²	1	2	yes	complemented
124	C₂²×C₄×#41	C₂²	1	4	yes	complemented
125	C₂²×C₄×#41	C₂²	1	4	yes	complemented
126	C₂²×C₄×#41	C₂²	1	4	yes	complemented
127	C₂³×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
128	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
129	C₂³×C₄×D₄	C₂²	1	2	yes	—
130	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
131	C₂³×C₄×D₄	C₂²	1	8	yes	complemented
132	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
133	C₂³×C₄×D₄	C₂²	1	8	yes	complemented
134	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
135	C₂³×#117	C₂²	1	4	yes	complemented
136	C₂⁴×C₄⋊C₄	C₂²	1	2	yes	complemented
137	C₂²×H(5,𝔽₂)	—	2	32	no	—
138	C₂²×H(5,𝔽₂)	—	2	64	no	—
139	C₂²×H(5,𝔽₂)	C₂³	1	96	yes	—
140	C₂²×H(5,𝔽₂)	C₂³	1	48	yes	—
141	C₂³×#41	C₂³	1	2	yes	—
142	C₂³×#41	C₂³	1	4	yes	—
143	C₂³×#41	C₂³	1	8	yes	—
144	C₂³×#41	C₂³	1	4	yes	—
145	C₂³×#41	C₂³	1	4	yes	—
146	C₂³×#41	C₂³	1	8	yes	—
147	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
148	C₂⁴×Q₈	C₂³	1	2	yes	—
149	C₂⁴×D₄	C₂³	1	8	yes	—
150	C₂⁴×D₄	C₂³	1	4	yes	—
151	C₂⁴×D₄	C₂³	1	4	yes	—
152	C₂⁴×D₄	C₂³	1	8	yes	—
153	C₂⁴×D₄	C₂³	1	4	yes	—
154	C₂⁴×D₄	C₂³	1	8	yes	—
155	C₂⁴×D₄	C₂³	1	1	yes	characteristic
156	C₂⁵×C₄	C₂³	1	2	yes	—
157	C₂⁵×C₄	C₂³	1	4	yes	—
158	C₂⁵×C₄	C₂³	1	4	yes	—
159	C₂⁵×C₄	C₂³	1	8	yes	—
160	#3521	C₂³	1	8192	yes	complemented
161	#3519	C₂³	1	4096	yes	complemented
162	#3515	C₂³	1	4096	yes	complemented
163	#3513	C₂³	1	8192	yes	complemented
164	#3512	C₂³	1	4096	yes	complemented
165	#3511	C₂³	1	2048	yes	complemented
166	#3505	C₂³	1	4096	yes	complemented
167	#3505	C₂³	1	8192	yes	complemented
168	#3496	C₂³	1	1024	yes	complemented
169	#3496	C₂³	1	2048	yes	complemented
170	#3481	C₂³	1	4096	yes	complemented
171	#3480	C₂³	1	2048	yes	complemented
172	C₂×#559	C₂³	1	192	yes	complemented
173	C₂×#559	C₂³	1	96	yes	complemented
174	C₂×#557	C₂³	1	96	yes	complemented
175	#3475	C₂³	1	4096	yes	complemented
176	C₂×#556	C₂³	1	192	yes	complemented
177	C₂×#556	C₂³	1	192	yes	complemented
178	C₂×#556	C₂³	1	96	yes	complemented
179	C₂×#555	C₂³	1	192	yes	complemented
180	C₂×#554	C₂³	1	384	yes	complemented
181	C₂×#554	C₂³	1	192	yes	complemented
182	C₂×#554	C₂³	1	192	yes	complemented
183	C₂×#554	C₂³	1	192	yes	complemented
184	C₂×#554	C₂³	1	1024	yes	complemented
185	C₂×#553	C₂³	1	768	yes	complemented
186	C₂×#553	C₂³	1	384	yes	complemented
187	C₂×#553	C₂³	1	384	yes	complemented
188	C₂×#553	C₂³	1	768	yes	complemented
189	C₂×#553	C₂³	1	768	yes	complemented
190	C₂×#553	C₂³	1	384	yes	complemented
191	C₂×#553	C₂³	1	384	yes	complemented
192	C₂×#553	C₂³	1	384	yes	complemented
193	C₂×#553	C₂³	1	192	yes	complemented
194	C₂×#553	C₂³	1	384	yes	complemented
195	C₂×#553	C₂³	1	4096	yes	complemented
196	C₂×#552	C₂³	1	768	yes	complemented
197	C₂×#552	C₂³	1	384	yes	complemented
198	C₂×#552	C₂³	1	384	yes	complemented
199	C₂×#552	C₂³	1	384	yes	complemented
200	C₂×#551	C₂³	1	768	yes	complemented
201	C₂×#551	C₂³	1	768	yes	complemented
202	C₂×#551	C₂³	1	768	yes	complemented
203	C₂×#550	C₂³	1	96	yes	complemented
204	C₂×#548	C₂³	1	384	yes	complemented
205	C₂×#548	C₂³	1	192	yes	complemented
206	C₂×#547	C₂³	1	384	yes	complemented
207	C₂×#547	C₂³	1	192	yes	complemented
208	C₂×#547	C₂³	1	192	yes	complemented
209	C₂×#546	C₂³	1	384	yes	complemented
210	C₂×#546	C₂³	1	384	yes	complemented
211	C₂×#546	C₂³	1	384	yes	complemented
212	C₂×#546	C₂³	1	768	yes	complemented
213	C₂×#546	C₂³	1	384	yes	complemented
214	C₂×D₄²	C₂³	1	384	yes	complemented
215	C₂×D₄²	C₂³	1	192	yes	complemented
216	C₂×#542	C₂³	1	384	yes	complemented
217	C₂×#541	C₂³	1	384	yes	complemented
218	C₂×#540	C₂³	1	384	yes	complemented
219	C₂×#539	C₂³	1	768	yes	complemented
220	C₂×#539	C₂³	1	384	yes	complemented
221	C₂×#538	C₂³	1	384	yes	complemented
222	C₂×#538	C₂³	1	768	yes	complemented
223	C₂×#537	C₂³	1	192	yes	complemented
224	C₂×#537	C₂³	1	96	yes	complemented
225	C₂×#534	C₂³	1	384	yes	complemented
226	C₂×#534	C₂³	1	192	yes	complemented
227	C₂×#533	C₂³	1	192	yes	complemented
228	C₂×#532	C₂³	1	96	yes	complemented
229	C₂×#532	C₂³	1	192	yes	complemented
230	C₂×#532	C₂³	1	192	yes	complemented
231	C₂²×C₄⋊Q₈	C₂³	1	4	yes	—
232	C₂²×C₄⋊Q₈	C₂³	1	4	yes	—
233	C₂²×C₄⋊Q₈	C₂³	1	2	yes	—
234	C₂²×C₄⋊Q₈	C₂³	1	4	yes	—
235	C₂²×C₄⋊Q₈	C₂³	1	48	yes	complemented
236	C₂²×#127	C₂³	1	2	yes	—
237	C₂²×#127	C₂³	1	4	yes	—
238	C₂×#529	C₂³	1	384	yes	complemented
239	C₂×#529	C₂³	1	768	yes	complemented
240	C₂×#529	C₂³	1	384	yes	complemented
241	C₂×#529	C₂³	1	384	yes	complemented
242	C₂×#529	C₂³	1	192	yes	complemented
243	C₂×#529	C₂³	1	384	yes	complemented
244	C₂²×#126	C₂³	1	8	yes	—
245	C₂²×#126	C₂³	1	16	yes	—
246	C₂²×#126	C₂³	1	16	yes	—
247	C₂²×#126	C₂³	1	16	yes	—
248	C₂²×#126	C₂³	1	8	yes	—
249	C₂²×#126	C₂³	1	8	yes	—
250	C₂²×#126	C₂³	1	16	yes	—
251	C₂²×#126	C₂³	1	16	yes	—
252	C₂²×#126	C₂³	1	384	yes	complemented
253	C₂²×#125	C₂³	1	4	yes	—
254	C₂²×#125	C₂³	1	8	yes	—
255	C₂²×#125	C₂³	1	8	yes	—
256	C₂²×#125	C₂³	1	16	yes	—
257	C₂²×#125	C₂³	1	8	yes	—
258	C₂²×#125	C₂³	1	8	yes	—
259	C₂²×#125	C₂³	1	16	yes	—
260	C₂²×#125	C₂³	1	192	yes	complemented
261	C₂²×#125	C₂³	1	96	yes	complemented
262	C₂²×#124	C₂³	1	4	yes	—
263	C₂²×#124	C₂³	1	4	yes	—
264	C₂²×#124	C₂³	1	4	yes	—
265	C₂²×#124	C₂³	1	8	yes	—
266	C₂²×#124	C₂³	1	16	yes	—
267	C₂²×#124	C₂³	1	8	yes	—
268	C₂²×#124	C₂³	1	4	yes	—
269	C₂×#525	C₂³	1	768	yes	complemented
270	C₂×#525	C₂³	1	384	yes	complemented
271	C₂²×#123	C₂³	1	8	yes	—
272	C₂²×#123	C₂³	1	16	yes	—
273	C₂²×#123	C₂³	1	16	yes	—
274	C₂²×#123	C₂³	1	16	yes	—
275	C₂²×#123	C₂³	1	8	yes	—
276	C₂²×#123	C₂³	1	16	yes	—
277	C₂²×#123	C₂³	1	16	yes	—
278	C₂²×#123	C₂³	1	16	yes	—
279	C₂²×#123	C₂³	1	16	yes	—
280	C₂²×#123	C₂³	1	16	yes	—
281	C₂²×#123	C₂³	1	8	yes	—
282	C₂²×#123	C₂³	1	384	yes	complemented
283	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
284	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	—
285	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	—
286	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
287	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
288	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	—
289	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
290	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
291	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
292	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
293	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
294	C₂²×C₂²⋊Q₈	C₂³	1	192	yes	complemented
295	C₂²×C₂²⋊Q₈	C₂³	1	96	yes	complemented
296	C₂²×#121	C₂³	1	4	yes	—
297	C₂²×#121	C₂³	1	4	yes	—
298	C₂²×#121	C₂³	1	8	yes	—
299	C₂²×#121	C₂³	1	8	yes	—
300	C₂²×#121	C₂³	1	16	yes	—
301	C₂²×#121	C₂³	1	8	yes	—
302	C₂²×#121	C₂³	1	16	yes	—
303	C₂²×#121	C₂³	1	8	yes	—
304	C₂²×#121	C₂³	1	16	yes	—
305	C₂²×#121	C₂³	1	8	yes	—
306	C₂²×#121	C₂³	1	16	yes	—
307	C₂²×#121	C₂³	1	16	yes	—
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	4	yes	—
312	C₂²×#121	C₂³	1	8	yes	—
313	C₂²×#121	C₂³	1	8	yes	—
314	C₂²×#121	C₂³	1	384	yes	complemented
315	C₂²×#121	C₂³	1	192	yes	complemented
316	C₂²×#121	C₂³	1	192	yes	complemented
317	C₂²×#120	C₂³	1	16	yes	—
318	C₂²×#120	C₂³	1	16	yes	—
319	C₂²×#120	C₂³	1	16	yes	—
320	C₄×H(5,𝔽₂)	C₂³	1	1024	yes	complemented
321	C₄×H(5,𝔽₂)	C₂³	1	2048	yes	complemented
322	C₂×#520	C₂³	1	384	yes	complemented
323	C₂×#520	C₂³	1	192	yes	complemented
324	C₂×#520	C₂³	1	192	yes	complemented
325	C₂×#520	C₂³	1	96	yes	complemented
326	C₂×#518	C₂³	1	48	yes	—
327	C₂×#518	C₂³	1	384	yes	complemented
328	C₂×#518	C₂³	1	192	yes	complemented
329	C₂×#518	C₂³	1	192	yes	complemented
330	C₂×#518	C₂³	1	384	yes	complemented
331	C₂×C₄×#41	C₂³	1	192	yes	complemented
332	C₂×C₄×#41	C₂³	1	384	yes	complemented
333	C₂×C₄×#41	C₂³	1	96	yes	complemented
334	C₂×C₄×#41	C₂³	1	192	yes	complemented
335	C₂×C₄×#41	C₂³	1	192	yes	complemented
336	C₂²×C₄×Q₈	C₂³	1	2	yes	—
337	C₂²×C₄×Q₈	C₂³	1	2	yes	—
338	C₂²×C₄×Q₈	C₂³	1	4	yes	—
339	C₂²×C₄×Q₈	C₂³	1	2	yes	—
340	C₂²×C₄×Q₈	C₂³	1	4	yes	—
341	C₂²×C₄×Q₈	C₂³	1	4	yes	—
342	C₂²×C₄×Q₈	C₂³	1	8	yes	—
343	C₂²×C₄×Q₈	C₂³	1	4	yes	—
344	C₂²×C₄×Q₈	C₂³	1	2	yes	—
345	C₂²×C₄×Q₈	C₂³	1	4	yes	—
346	C₂²×C₄×Q₈	C₂³	1	8	yes	—
347	C₂²×C₄×Q₈	C₂³	1	48	yes	complemented
348	C₂²×C₄×D₄	C₂³	1	48	yes	—
349	C₂²×C₄×D₄	C₂³	1	96	yes	—
350	C₂²×C₄×D₄	C₂³	1	4	yes	—
351	C₂²×C₄×D₄	C₂³	1	8	yes	—
352	C₂²×C₄×D₄	C₂³	1	8	yes	—
353	C₂²×C₄×D₄	C₂³	1	4	yes	—
354	C₂²×C₄×D₄	C₂³	1	4	yes	—
355	C₂²×C₄×D₄	C₂³	1	8	yes	—
356	C₂²×C₄×D₄	C₂³	1	4	yes	—
357	C₂²×C₄×D₄	C₂³	1	2	yes	—
358	C₂²×C₄×D₄	C₂³	1	16	yes	—
359	C₂²×C₄×D₄	C₂³	1	8	yes	—
360	C₂²×C₄×D₄	C₂³	1	4	yes	—
361	C₂²×C₄×D₄	C₂³	1	4	yes	—
362	C₂²×C₄×D₄	C₂³	1	4	yes	—
363	C₂²×C₄×D₄	C₂³	1	16	yes	—
364	C₂²×C₄×D₄	C₂³	1	8	yes	—
365	C₂²×C₄×D₄	C₂³	1	4	yes	—
366	C₂²×C₄×D₄	C₂³	1	8	yes	—
367	C₂²×C₄×D₄	C₂³	1	16	yes	—
368	C₂²×C₄×D₄	C₂³	1	16	yes	—
369	C₂²×C₄×D₄	C₂³	1	8	yes	—
370	C₂²×C₄×D₄	C₂³	1	8	yes	—
371	C₂²×C₄×D₄	C₂³	1	16	yes	—
372	C₂²×C₄×D₄	C₂³	1	8	yes	—
373	C₂²×C₄×D₄	C₂³	1	8	yes	—
374	C₂²×C₄×D₄	C₂³	1	16	yes	—
375	C₂²×C₄×D₄	C₂³	1	4	yes	—
376	C₂²×C₄×D₄	C₂³	1	8	yes	—
377	C₂²×C₄×D₄	C₂³	1	2	yes	—
378	C₂²×C₄×D₄	C₂³	1	4	yes	—
379	C₂²×C₄×D₄	C₂³	1	8	yes	—
380	C₂²×C₄×D₄	C₂³	1	4	yes	—
381	C₂²×C₄×D₄	C₂³	1	8	yes	—
382	C₂²×C₄×D₄	C₂³	1	16	yes	—
383	C₂²×C₄×D₄	C₂³	1	8	yes	—
384	C₂²×C₄×D₄	C₂³	1	4	yes	—
385	C₂²×C₄×D₄	C₂³	1	384	yes	complemented
386	C₂²×C₄×D₄	C₂³	1	192	yes	complemented
387	C₂²×C₄×D₄	C₂³	1	384	yes	complemented
388	C₂²×C₄×D₄	C₂³	1	192	yes	complemented
389	C₂²×C₄×D₄	C₂³	1	192	yes	complemented
390	C₂²×#117	C₂³	1	4	yes	—
391	C₂²×#117	C₂³	1	8	yes	—
392	C₂²×#117	C₂³	1	16	yes	—
393	C₂²×#117	C₂³	1	2	yes	—
394	C₂²×#117	C₂³	1	8	yes	—
395	C₂²×#117	C₂³	1	4	yes	—
396	C₂²×#117	C₂³	1	16	yes	—
397	C₂²×#117	C₂³	1	8	yes	—
398	C₂²×#117	C₂³	1	4	yes	—
399	C₂²×#117	C₂³	1	8	yes	—
400	C₂²×#117	C₂³	1	8	yes	—
401	C₂²×#117	C₂³	1	16	yes	—
402	C₂²×#117	C₂³	1	192	yes	complemented
403	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
405	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
406	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
407	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
408	C₂³×C₄⋊C₄	C₂³	1	8	yes	—
409	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
410	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
412	C₂³×C₄⋊C₄	C₂³	1	8	yes	—
413	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
414	C₂³×C₄⋊C₄	C₂³	1	8	yes	—
415	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
416	C₂³×C₄⋊C₄	C₂³	1	2	yes	—
417	C₂³×C₄⋊C₄	C₂³	1	8	yes	—
418	C₂³×C₄⋊C₄	C₂³	1	4	yes	—
419	C₂³×C₄⋊C₄	C₂³	1	96	yes	complemented
420	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
421	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
422	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
423	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
424	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
425	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
426	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
427	C₂³×C₂²⋊C₄	C₂³	1	16	yes	—
428	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
429	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
430	C₂³×C₄²	C₂³	1	8	yes	—
431	C₂³×C₄²	C₂³	1	2	yes	—
432	C₂³×C₄²	C₂³	1	1	yes	characteristic
433	C₂³×C₄²	C₂³	1	4	yes	—
434	C₂³×C₄²	C₂³	1	8	yes	—
435	C₂³×C₄²	C₂³	1	4	yes	—
436	C₂⁶	C₂⁴	1	4	yes	—
437	C₂⁶	C₂⁴	1	8	yes	—
438	C₂⁶	C₂⁴	1	2	yes	—
439	C₂×H(5,𝔽₂)	—	2	1536	no	—
440	C₂×H(5,𝔽₂)	—	2	768	no	—
441	C₂×H(5,𝔽₂)	C₂⁴	1	256	yes	—
442	C₂×H(5,𝔽₂)	C₂⁴	1	512	yes	—
443	C₂²×#41	—	2	128	no	—
444	C₂²×#41	—	2	64	no	—
445	C₂²×#41	—	2	32	no	—
446	C₂²×#41	—	2	64	no	—
447	C₂²×#41	—	4	32	no	—
448	C₂²×#41	—	8	32	no	—
449	C₂²×#41	C₂⁴	1	48	yes	—
450	C₂²×#41	C₂⁴	1	96	yes	—
451	C₂²×#41	C₂⁴	1	96	yes	—
452	C₂²×#41	C₂⁴	1	192	yes	—
453	C₂²×#41	C₂⁴	1	96	yes	—
454	C₂²×#41	C₂⁴	1	192	yes	—
455	C₂³×Q₈	—	4	8	no	—
456	C₂³×Q₈	—	8	8	no	—
457	C₂³×Q₈	C₂⁴	1	2	yes	—
458	C₂³×Q₈	C₂⁴	1	2	yes	—
459	C₂³×Q₈	C₂⁴	1	4	yes	—
460	C₂³×Q₈	C₂⁴	1	8	yes	—
461	C₂³×Q₈	C₂⁴	1	2	yes	—
462	C₂³×Q₈	C₂⁴	1	24	yes	—
463	C₂³×Q₈	C₂⁴	1	48	yes	—
464	C₂³×D₄	—	2	128	no	—
465	C₂³×D₄	—	2	64	no	—
466	C₂³×D₄	—	2	64	no	—
467	C₂³×D₄	—	2	128	no	—
468	C₂³×D₄	—	4	32	no	—
469	C₂³×D₄	—	8	32	no	—
470	C₂³×D₄	#41	1	32	yes	complemented
471	C₂³×D₄	C₂⁴	1	8	yes	—
472	C₂³×D₄	C₂⁴	1	16	yes	—
473	C₂³×D₄	C₂⁴	1	4	yes	—
474	C₂³×D₄	C₂⁴	1	8	yes	—
475	C₂³×D₄	C₂⁴	1	4	yes	—
476	C₂³×D₄	C₂⁴	1	2	yes	—
477	C₂³×D₄	C₂⁴	1	4	yes	—
478	C₂³×D₄	C₂⁴	1	192	yes	—
479	C₂³×D₄	C₂⁴	1	96	yes	—
480	C₂³×D₄	C₂⁴	1	192	yes	—
481	C₂³×D₄	C₂⁴	1	96	yes	—
482	C₂³×D₄	C₂⁴	1	8	yes	—
483	C₂³×D₄	C₂⁴	1	16	yes	—
484	C₂³×D₄	C₂⁴	1	8	yes	—
485	C₂³×D₄	C₂⁴	1	96	yes	—
486	C₂³×D₄	C₂⁴	1	4	yes	—
487	C₂³×D₄	C₂⁴	1	8	yes	—
488	C₂³×D₄	C₂⁴	1	192	yes	—
489	C₂³×D₄	C₂⁴	1	4	yes	—
490	C₂³×D₄	C₂⁴	1	24	yes	—
491	C₂⁴×C₄	—	4	16	no	—
492	C₂⁴×C₄	—	4	32	no	—
493	C₂⁴×C₄	—	8	32	no	—
494	C₂⁴×C₄	—	8	16	no	—
495	C₂⁴×C₄	C₂⁴	1	4	yes	—
496	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
497	C₂⁴×C₄	C₂⁴	1	4	yes	—
498	C₂⁴×C₄	C₂⁴	1	8	yes	—
499	C₂⁴×C₄	C₂⁴	1	4	yes	—
500	C₂⁴×C₄	C₂⁴	1	8	yes	—
501	C₂⁴×C₄	C₂⁴	1	4	yes	—
502	C₂⁴×C₄	C₂⁴	1	4	yes	—
503	C₂⁴×C₄	C₂⁴	1	8	yes	—
504	C₂⁴×C₄	C₂⁴	1	2	yes	—
505	C₂⁴×C₄	C₂⁴	1	8	yes	—
506	C₂⁴×C₄	C₂⁴	1	8	yes	—
507	C₂⁴×C₄	C₂⁴	1	4	yes	—
508	C₂⁴×C₄	C₂⁴	1	16	yes	—
509	C₂⁴×C₄	C₂⁴	1	4	yes	—
510	C₂⁴×C₄	C₂⁴	1	4	yes	—
511	C₂⁴×C₄	C₂⁴	1	2	yes	—
512	C₂⁴×C₄	C₂⁴	1	8	yes	—
513	C₂⁴×C₄	C₂⁴	1	48	yes	—
514	C₂⁴×C₄	C₂⁴	1	96	yes	—
515	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
516	C₂⁴×C₄	C₂⁴	1	2	yes	—
517	C₂⁴×C₄	C₂⁴	1	4	yes	—
518	C₂⁴×C₄	C₂⁴	1	8	yes	—
519	C₂⁴×C₄	C₂⁴	1	96	yes	—
520	C₂⁴×C₄	C₂⁴	1	192	yes	—
521	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
522	#559	C₂⁴	1	512	yes	complemented
523	#559	C₂⁴	1	1024	yes	complemented
524	#557	C₂⁴	1	512	yes	complemented
525	#556	C₂⁴	1	512	yes	complemented
526	#556	C₂⁴	1	1024	yes	complemented
527	#556	C₂⁴	1	1024	yes	complemented
528	#555	C₂⁴	1	1024	yes	complemented
529	#554	C₂⁴	1	1024	yes	complemented
530	#554	C₂⁴	1	2048	yes	complemented
531	#554	C₂⁴	1	1024	yes	complemented
532	#554	C₂⁴	1	1024	yes	complemented
533	#553	C₂⁴	1	1024	yes	complemented
534	#553	C₂⁴	1	2048	yes	complemented
535	#553	C₂⁴	1	2048	yes	complemented
536	#553	C₂⁴	1	4096	yes	complemented
537	#553	C₂⁴	1	4096	yes	complemented
538	#553	C₂⁴	1	2048	yes	complemented
539	#553	C₂⁴	1	2048	yes	complemented
540	#553	C₂⁴	1	2048	yes	complemented
541	#553	C₂⁴	1	4096	yes	complemented
542	#553	C₂⁴	1	2048	yes	complemented
543	#552	C₂⁴	1	2048	yes	complemented
544	#552	C₂⁴	1	2048	yes	complemented
545	#552	C₂⁴	1	4096	yes	complemented
546	#552	C₂⁴	1	2048	yes	complemented
547	#551	C₂⁴	1	4096	yes	complemented
548	#551	C₂⁴	1	4096	yes	complemented
549	#551	C₂⁴	1	4096	yes	complemented
550	#550	C₂⁴	1	512	yes	complemented
551	#548	C₂⁴	1	1024	yes	complemented
552	#548	C₂⁴	1	2048	yes	complemented
553	#547	C₂⁴	1	1024	yes	complemented
554	#547	C₂⁴	1	2048	yes	complemented
555	#547	C₂⁴	1	1024	yes	complemented
556	#546	C₂⁴	1	2048	yes	complemented
557	#546	C₂⁴	1	2048	yes	complemented
558	#546	C₂⁴	1	2048	yes	complemented
559	#546	C₂⁴	1	2048	yes	complemented
560	#546	C₂⁴	1	4096	yes	complemented
561	D₄²	C₂⁴	1	1024	yes	complemented
562	D₄²	C₂⁴	1	2048	yes	complemented
563	#542	C₂⁴	1	2048	yes	complemented
564	#541	C₂⁴	1	2048	yes	complemented
565	#540	C₂⁴	1	2048	yes	complemented
566	#539	C₂⁴	1	4096	yes	complemented
567	#539	C₂⁴	1	2048	yes	complemented
568	#538	C₂⁴	1	2048	yes	complemented
569	#538	C₂⁴	1	4096	yes	complemented
570	#537	C₂⁴	1	1024	yes	complemented
571	#537	C₂⁴	1	512	yes	complemented
572	#534	C₂⁴	1	2048	yes	complemented
573	#534	C₂⁴	1	1024	yes	complemented
574	#533	C₂⁴	1	1024	yes	complemented
575	#532	C₂⁴	1	512	yes	complemented
576	#532	C₂⁴	1	1024	yes	complemented
577	#532	C₂⁴	1	1024	yes	complemented
578	C₂×C₄⋊Q₈	C₂⁴	1	96	yes	—
579	C₂×C₄⋊Q₈	C₂⁴	1	96	yes	—
580	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	—
581	C₂×C₄⋊Q₈	C₂⁴	1	96	yes	—
582	C₂×C₄⋊Q₈	C₂⁴	1	256	yes	complemented
583	C₂×#127	C₂⁴	1	48	yes	—
584	C₂×#127	C₂⁴	1	96	yes	—
585	#529	C₂⁴	1	4096	yes	complemented
586	#529	C₂⁴	1	2048	yes	complemented
587	#529	C₂⁴	1	2048	yes	complemented
588	#529	C₂⁴	1	1024	yes	complemented
589	#529	C₂⁴	1	2048	yes	complemented
590	#529	C₂⁴	1	2048	yes	complemented
591	C₂×#126	C₂⁴	1	192	yes	—
592	C₂×#126	C₂⁴	1	384	yes	—
593	C₂×#126	C₂⁴	1	384	yes	—
594	C₂×#126	C₂⁴	1	384	yes	—
595	C₂×#126	C₂⁴	1	192	yes	—
596	C₂×#126	C₂⁴	1	192	yes	—
597	C₂×#126	C₂⁴	1	384	yes	—
598	C₂×#126	C₂⁴	1	384	yes	—
599	C₂×#126	C₂⁴	1	2048	yes	complemented
600	C₂×#125	C₂⁴	1	96	yes	—
601	C₂×#125	C₂⁴	1	192	yes	—
602	C₂×#125	C₂⁴	1	192	yes	—
603	C₂×#125	C₂⁴	1	384	yes	—
604	C₂×#125	C₂⁴	1	192	yes	—
605	C₂×#125	C₂⁴	1	192	yes	—
606	C₂×#125	C₂⁴	1	384	yes	—
607	C₂×#125	C₂⁴	1	1024	yes	complemented
608	C₂×#125	C₂⁴	1	512	yes	complemented
609	C₂×#124	C₂⁴	1	96	yes	—
610	C₂×#124	C₂⁴	1	96	yes	—
611	C₂×#124	C₂⁴	1	96	yes	—
612	C₂×#124	C₂⁴	1	192	yes	—
613	C₂×#124	C₂⁴	1	384	yes	—
614	C₂×#124	C₂⁴	1	192	yes	—
615	C₂×#124	C₂⁴	1	96	yes	—
616	#525	C₂⁴	1	2048	yes	complemented
617	#525	C₂⁴	1	4096	yes	complemented
618	C₂×#123	C₂⁴	1	192	yes	—
619	C₂×#123	C₂⁴	1	384	yes	—
620	C₂×#123	C₂⁴	1	384	yes	—
621	C₂×#123	C₂⁴	1	384	yes	—
622	C₂×#123	C₂⁴	1	192	yes	—
623	C₂×#123	C₂⁴	1	384	yes	—
624	C₂×#123	C₂⁴	1	384	yes	—
625	C₂×#123	C₂⁴	1	384	yes	—
626	C₂×#123	C₂⁴	1	384	yes	—
627	C₂×#123	C₂⁴	1	384	yes	—
628	C₂×#123	C₂⁴	1	192	yes	—
629	C₂×#123	C₂⁴	1	2048	yes	complemented
630	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
631	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	—
632	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	—
633	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
634	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
635	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	—
636	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
637	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
638	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
639	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
640	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
641	C₂×C₂²⋊Q₈	C₂⁴	1	1024	yes	complemented
642	C₂×C₂²⋊Q₈	C₂⁴	1	512	yes	complemented
643	C₂×#121	C₂⁴	1	96	yes	—
644	C₂×#121	C₂⁴	1	96	yes	—
645	C₂×#121	C₂⁴	1	192	yes	—
646	C₂×#121	C₂⁴	1	192	yes	—
647	C₂×#121	C₂⁴	1	384	yes	—
648	C₂×#121	C₂⁴	1	192	yes	—
649	C₂×#121	C₂⁴	1	384	yes	—
650	C₂×#121	C₂⁴	1	192	yes	—
651	C₂×#121	C₂⁴	1	384	yes	—
652	C₂×#121	C₂⁴	1	192	yes	—
653	C₂×#121	C₂⁴	1	384	yes	—
654	C₂×#121	C₂⁴	1	384	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	192	yes	—
660	C₂×#121	C₂⁴	1	192	yes	—
661	C₂×#121	C₂⁴	1	2048	yes	complemented
662	C₂×#121	C₂⁴	1	1024	yes	complemented
663	C₂×#121	C₂⁴	1	1024	yes	complemented
664	C₂×#120	C₂⁴	1	384	yes	—
665	C₂×#120	C₂⁴	1	384	yes	—
666	C₂×#120	C₂⁴	1	384	yes	—
667	#520	C₂⁴	1	1024	yes	complemented
668	#520	C₂⁴	1	512	yes	complemented
669	#520	C₂⁴	1	2048	yes	complemented
670	#520	C₂⁴	1	1024	yes	complemented
671	#518	C₂⁴	1	256	yes	—
672	#518	C₂⁴	1	2048	yes	complemented
673	#518	C₂⁴	1	1024	yes	complemented
674	#518	C₂⁴	1	1024	yes	complemented
675	#518	C₂⁴	1	2048	yes	complemented
676	C₄×#41	C₂⁴	1	2048	yes	complemented
677	C₄×#41	C₂⁴	1	512	yes	complemented
678	C₄×#41	C₂⁴	1	1024	yes	complemented
679	C₄×#41	C₂⁴	1	1024	yes	complemented
680	C₄×#41	C₂⁴	1	1024	yes	complemented
681	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
682	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
683	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
684	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
685	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
686	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
687	C₂×C₄×Q₈	C₂⁴	1	192	yes	—
688	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
689	C₂×C₄×Q₈	C₂⁴	1	48	yes	—
690	C₂×C₄×Q₈	C₂⁴	1	96	yes	—
691	C₂×C₄×Q₈	C₂⁴	1	192	yes	—
692	C₂×C₄×Q₈	C₂⁴	1	256	yes	complemented
693	C₂×C₄×D₄	C₂⁴	1	96	yes	—
694	C₂×C₄×D₄	C₂⁴	1	192	yes	—
695	C₂×C₄×D₄	C₂⁴	1	192	yes	—
696	C₂×C₄×D₄	C₂⁴	1	96	yes	—
697	C₂×C₄×D₄	C₂⁴	1	512	yes	—
698	C₂×C₄×D₄	C₂⁴	1	256	yes	—
699	C₂×C₄×D₄	C₂⁴	1	96	yes	—
700	C₂×C₄×D₄	C₂⁴	1	192	yes	—
701	C₂×C₄×D₄	C₂⁴	1	96	yes	—
702	C₂×C₄×D₄	C₂⁴	1	48	yes	—
703	C₂×C₄×D₄	C₂⁴	1	384	yes	—
704	C₂×C₄×D₄	C₂⁴	1	192	yes	—
705	C₂×C₄×D₄	C₂⁴	1	96	yes	—
706	C₂×C₄×D₄	C₂⁴	1	96	yes	—
707	C₂×C₄×D₄	C₂⁴	1	96	yes	—
708	C₂×C₄×D₄	C₂⁴	1	384	yes	—
709	C₂×C₄×D₄	C₂⁴	1	192	yes	—
710	C₂×C₄×D₄	C₂⁴	1	96	yes	—
711	C₂×C₄×D₄	C₂⁴	1	192	yes	—
712	C₂×C₄×D₄	C₂⁴	1	384	yes	—
713	C₂×C₄×D₄	C₂⁴	1	384	yes	—
714	C₂×C₄×D₄	C₂⁴	1	192	yes	—
715	C₂×C₄×D₄	C₂⁴	1	192	yes	—
716	C₂×C₄×D₄	C₂⁴	1	384	yes	—
717	C₂×C₄×D₄	C₂⁴	1	192	yes	—
718	C₂×C₄×D₄	C₂⁴	1	192	yes	—
719	C₂×C₄×D₄	C₂⁴	1	384	yes	—
720	C₂×C₄×D₄	C₂⁴	1	48	yes	—
721	C₂×C₄×D₄	C₂⁴	1	96	yes	—
722	C₂×C₄×D₄	C₂⁴	1	192	yes	—
723	C₂×C₄×D₄	C₂⁴	1	96	yes	—
724	C₂×C₄×D₄	C₂⁴	1	192	yes	—
725	C₂×C₄×D₄	C₂⁴	1	96	yes	—
726	C₂×C₄×D₄	C₂⁴	1	192	yes	—
727	C₂×C₄×D₄	C₂⁴	1	384	yes	—
728	C₂×C₄×D₄	C₂⁴	1	192	yes	—
729	C₂×C₄×D₄	C₂⁴	1	96	yes	—
730	C₂×C₄×D₄	C₂⁴	1	2048	yes	complemented
731	C₂×C₄×D₄	C₂⁴	1	1024	yes	complemented
732	C₂×C₄×D₄	C₂⁴	1	1024	yes	complemented
733	C₂×C₄×D₄	C₂⁴	1	2048	yes	complemented
734	C₂×C₄×D₄	C₂⁴	1	1024	yes	complemented
735	C₂×#117	C₂⁴	1	96	yes	—
736	C₂×#117	C₂⁴	1	192	yes	—
737	C₂×#117	C₂⁴	1	384	yes	—
738	C₂×#117	C₂⁴	1	48	yes	—
739	C₂×#117	C₂⁴	1	192	yes	—
740	C₂×#117	C₂⁴	1	96	yes	—
741	C₂×#117	C₂⁴	1	192	yes	—
742	C₂×#117	C₂⁴	1	384	yes	—
743	C₂×#117	C₂⁴	1	96	yes	—
744	C₂×#117	C₂⁴	1	192	yes	—
745	C₂×#117	C₂⁴	1	192	yes	—
746	C₂×#117	C₂⁴	1	384	yes	—
747	C₂×#117	C₂⁴	1	1024	yes	complemented
748	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
749	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
750	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
751	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
752	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
754	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
755	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
757	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
758	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
759	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
760	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
761	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
762	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
763	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
764	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
765	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
766	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
767	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
768	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
769	C₂²×C₄⋊C₄	C₂⁴	1	48	yes	—
770	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	—
771	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
773	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
774	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
775	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
776	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
777	C₂²×C₄⋊C₄	C₂⁴	1	48	yes	—
778	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	—
779	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
780	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	—
781	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
782	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂²×C₄⋊C₄	C₂⁴	1	48	yes	—
784	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	—
785	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	—
786	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
788	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
789	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₂²×C₄⋊C₄	C₂⁴	1	512	yes	complemented
791	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
792	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
793	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
795	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
796	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
797	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
798	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
799	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
800	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
801	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
804	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
805	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
806	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
807	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
808	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
809	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
810	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
811	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
812	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
813	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
814	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	—
815	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
816	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
817	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
818	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
819	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
820	C₂²×C₄²	C₂⁴	1	4	yes	—
821	C₂²×C₄²	C₂⁴	1	8	yes	—
822	C₂²×C₄²	C₂⁴	1	4	yes	—
823	C₂²×C₄²	C₂⁴	1	4	yes	—
824	C₂²×C₄²	C₂⁴	1	2	yes	—
825	C₂²×C₄²	C₂⁴	1	8	yes	—
826	C₂²×C₄²	C₂⁴	1	8	yes	—
827	C₂²×C₄²	C₂⁴	1	16	yes	—
828	C₂²×C₄²	C₂⁴	1	4	yes	—
829	C₂²×C₄²	C₂⁴	1	2	yes	—
830	C₂²×C₄²	C₂⁴	1	4	yes	—
831	C₂²×C₄²	C₂⁴	1	192	yes	—
832	C₂²×C₄²	C₂⁴	1	48	yes	—
833	C₂²×C₄²	C₂⁴	1	24	yes	—
834	C₂²×C₄²	C₂⁴	1	96	yes	—
835	C₂²×C₄²	C₂⁴	1	192	yes	—
836	C₂²×C₄²	C₂⁴	1	96	yes	—
837	C₂⁵	—	2	32	no	—
838	C₂⁵	—	2	64	no	—
839	C₂⁵	—	4	8	no	—
840	C₂⁵	—	4	8	no	—
841	C₂⁵	—	4	16	no	—
842	C₂⁵	—	4	32	no	—
843	C₂⁵	—	4	32	no	—
844	C₂⁵	—	4	16	no	—
845	C₂⁵	C₂×#41	1	32	yes	—
846	C₂⁵	C₂⁵	1	4	yes	—
847	C₂⁵	C₂⁵	1	8	yes	—
848	C₂⁵	C₂⁵	1	4	yes	—
849	C₂⁵	C₂⁵	1	1	yes	characteristic
850	C₂⁵	C₂⁵	1	48	yes	—
851	C₂⁵	C₂⁵	1	96	yes	—
852	C₂⁵	C₂⁵	1	24	yes	—
853	H(5,𝔽₂)	—	2	2048	no	—
854	H(5,𝔽₂)	—	2	4096	no	—
855	C₂×#41	—	2	768	no	—
856	C₂×#41	—	2	1536	no	—
857	C₂×#41	—	2	384	no	—
858	C₂×#41	—	2	768	no	—
859	C₂×#41	—	4	384	no	—
860	C₂×#41	—	8	384	no	—
861	C₂×#41	C₂⁵	1	128	yes	—
862	C₂×#41	C₂⁵	1	256	yes	—
863	C₂×#41	C₂⁵	1	512	yes	—
864	C₂×#41	C₂⁵	1	256	yes	—
865	C₂×#41	C₂⁵	1	256	yes	—
866	C₂×#41	C₂⁵	1	512	yes	—
867	C₂²×Q₈	—	2	16	no	—
868	C₂²×Q₈	—	2	32	no	—
869	C₂²×Q₈	—	2	16	no	—
870	C₂²×Q₈	—	4	8	no	—
871	C₂²×Q₈	—	4	32	no	—
872	C₂²×Q₈	—	4	96	no	—
873	C₂²×Q₈	—	8	96	no	—
874	C₂²×Q₈	C₂⁵	1	24	yes	—
875	C₂²×Q₈	C₂⁵	1	48	yes	—
876	C₂²×Q₈	C₂⁵	1	24	yes	—
877	C₂²×Q₈	C₂⁵	1	24	yes	—
878	C₂²×Q₈	C₂⁵	1	96	yes	—
879	C₂²×Q₈	C₂⁵	1	64	yes	—
880	C₂²×Q₈	C₂⁵	1	128	yes	—
881	C₂²×D₄	—	2	64	no	—
882	C₂²×D₄	—	2	128	no	—
883	C₂²×D₄	—	2	32	no	—
884	C₂²×D₄	—	2	64	no	—
885	C₂²×D₄	—	2	1536	no	—
886	C₂²×D₄	—	2	768	no	—
887	C₂²×D₄	—	2	1536	no	—
888	C₂²×D₄	—	2	768	no	—
889	C₂²×D₄	—	2	16	no	—
890	C₂²×D₄	—	2	32	no	—
891	C₂²×D₄	—	2	32	no	—
892	C₂²×D₄	—	4	384	no	—
893	C₂²×D₄	—	4	32	no	—
894	C₂²×D₄	—	4	32	no	—
895	C₂²×D₄	—	4	64	no	—
896	C₂²×D₄	—	4	32	no	—
897	C₂²×D₄	—	4	16	no	—
898	C₂²×D₄	—	8	384	no	—
899	C₂²×D₄	C₂×#41	1	64	yes	—
900	C₂²×D₄	C₂×#41	1	384	yes	complemented
901	C₂²×D₄	C₂⁵	1	96	yes	—
902	C₂²×D₄	C₂⁵	1	192	yes	—
903	C₂²×D₄	C₂⁵	1	48	yes	—
904	C₂²×D₄	C₂⁵	1	96	yes	—
905	C₂²×D₄	C₂⁵	1	48	yes	—
906	C₂²×D₄	C₂⁵	1	24	yes	—
907	C₂²×D₄	C₂⁵	1	48	yes	—
908	C₂²×D₄	C₂⁵	1	512	yes	—
909	C₂²×D₄	C₂⁵	1	256	yes	—
910	C₂²×D₄	C₂⁵	1	256	yes	—
911	C₂²×D₄	C₂⁵	1	512	yes	—
912	C₂²×D₄	C₂⁵	1	96	yes	—
913	C₂²×D₄	C₂⁵	1	96	yes	—
914	C₂²×D₄	C₂⁵	1	48	yes	—
915	C₂²×D₄	C₂⁵	1	192	yes	—
916	C₂²×D₄	C₂⁵	1	96	yes	—
917	C₂²×D₄	C₂⁵	1	256	yes	—
918	C₂²×D₄	C₂⁵	1	512	yes	—
919	C₂²×D₄	C₂⁵	1	48	yes	—
920	C₂²×D₄	C₂⁵	1	64	yes	—
921	C₂³×C₄	—	2	64	no	—
922	C₂³×C₄	—	2	32	no	—
923	C₂³×C₄	—	2	64	no	—
924	C₂³×C₄	—	2	32	no	—
925	C₂³×C₄	—	2	32	no	—
926	C₂³×C₄	—	2	8	no	—
927	C₂³×C₄	—	2	32	no	—
928	C₂³×C₄	—	4	192	no	—
929	C₂³×C₄	—	4	384	no	—
930	C₂³×C₄	—	4	16	no	—
931	C₂³×C₄	—	4	32	no	—
932	C₂³×C₄	—	4	8	no	—
933	C₂³×C₄	—	4	16	no	—
934	C₂³×C₄	—	4	16	no	—
935	C₂³×C₄	—	4	32	no	—
936	C₂³×C₄	—	4	8	no	—
937	C₂³×C₄	—	4	32	no	—
938	C₂³×C₄	—	4	32	no	—
939	C₂³×C₄	—	4	16	no	—
940	C₂³×C₄	—	4	64	no	—
941	C₂³×C₄	—	4	8	no	—
942	C₂³×C₄	—	4	4	no	—
943	C₂³×C₄	—	4	32	no	—
944	C₂³×C₄	—	4	16	no	—
945	C₂³×C₄	—	8	384	no	—
946	C₂³×C₄	—	8	192	no	—
947	C₂³×C₄	C₂×#41	1	16	yes	—
948	C₂³×C₄	C₂⁵	1	96	yes	—
949	C₂³×C₄	C₂⁵	1	48	yes	—
950	C₂³×C₄	C₂⁵	1	12	yes	—
951	C₂³×C₄	C₂⁵	1	48	yes	—
952	C₂³×C₄	C₂⁵	1	96	yes	—
953	C₂³×C₄	C₂⁵	1	48	yes	—
954	C₂³×C₄	C₂⁵	1	48	yes	—
955	C₂³×C₄	C₂⁵	1	1	yes	characteristic
956	C₂³×C₄	C₂⁵	1	4	yes	—
957	C₂³×C₄	C₂⁵	1	2	yes	—
958	C₂³×C₄	C₂⁵	1	4	yes	—
959	C₂³×C₄	C₂⁵	1	4	yes	—
960	C₂³×C₄	C₂⁵	1	8	yes	—
961	C₂³×C₄	C₂⁵	1	8	yes	—
962	C₂³×C₄	C₂⁵	1	4	yes	—
963	C₂³×C₄	C₂⁵	1	4	yes	—
964	C₂³×C₄	C₂⁵	1	2	yes	—
965	C₂³×C₄	C₂⁵	1	2	yes	—
966	C₂³×C₄	C₂⁵	1	48	yes	—
967	C₂³×C₄	C₂⁵	1	48	yes	—
968	C₂³×C₄	C₂⁵	1	24	yes	—
969	C₂³×C₄	C₂⁵	1	48	yes	—
970	C₂³×C₄	C₂⁵	1	12	yes	—
971	C₂³×C₄	C₂⁵	1	96	yes	—
972	C₂³×C₄	C₂⁵	1	96	yes	—
973	C₂³×C₄	C₂⁵	1	48	yes	—
974	C₂³×C₄	C₂⁵	1	24	yes	—
975	C₂³×C₄	C₂⁵	1	48	yes	—
976	C₂³×C₄	C₂⁵	1	96	yes	—
977	C₂³×C₄	C₂⁵	1	96	yes	—
978	C₂³×C₄	C₂⁵	1	192	yes	—
979	C₂³×C₄	C₂⁵	1	24	yes	—
980	C₂³×C₄	C₂⁵	1	128	yes	—
981	C₂³×C₄	C₂⁵	1	256	yes	—
982	C₂³×C₄	C₂⁵	1	96	yes	—
983	C₂³×C₄	C₂⁵	1	256	yes	—
984	C₂³×C₄	C₂⁵	1	512	yes	—
985	C₂³×C₄	C₂⁵	1	12	yes	—
986	C₂³×C₄	C₂⁵	1	2	yes	—
987	C₂³×C₄	C₂⁵	1	1	yes	characteristic
988	C₄⋊Q₈	C₂⁵	1	256	yes	—
989	C₄⋊Q₈	C₂⁵	1	256	yes	—
990	C₄⋊Q₈	C₂⁵	1	128	yes	—
991	C₄⋊Q₈	C₂⁵	1	256	yes	—
992	#127	C₂⁵	1	128	yes	—
993	#127	C₂⁵	1	256	yes	—
994	#126	C₂⁵	1	512	yes	—
995	#126	C₂⁵	1	1024	yes	—
996	#126	C₂⁵	1	1024	yes	—
997	#126	C₂⁵	1	1024	yes	—
998	#126	C₂⁵	1	512	yes	—
999	#126	C₂⁵	1	512	yes	—
1000	#126	C₂⁵	1	1024	yes	—
1001	#126	C₂⁵	1	1024	yes	—
1002	#125	C₂⁵	1	256	yes	—
1003	#125	C₂⁵	1	512	yes	—
1004	#125	C₂⁵	1	512	yes	—
1005	#125	C₂⁵	1	1024	yes	—
1006	#125	C₂⁵	1	512	yes	—
1007	#125	C₂⁵	1	512	yes	—
1008	#125	C₂⁵	1	1024	yes	—
1009	#124	C₂⁵	1	256	yes	—
1010	#124	C₂⁵	1	256	yes	—
1011	#124	C₂⁵	1	256	yes	—
1012	#124	C₂⁵	1	512	yes	—
1013	#124	C₂⁵	1	1024	yes	—
1014	#124	C₂⁵	1	512	yes	—
1015	#124	C₂⁵	1	256	yes	—
1016	#123	C₂⁵	1	512	yes	—
1017	#123	C₂⁵	1	1024	yes	—
1018	#123	C₂⁵	1	1024	yes	—
1019	#123	C₂⁵	1	1024	yes	—
1020	#123	C₂⁵	1	512	yes	—
1021	#123	C₂⁵	1	1024	yes	—
1022	#123	C₂⁵	1	1024	yes	—
1023	#123	C₂⁵	1	1024	yes	—
1024	#123	C₂⁵	1	1024	yes	—
1025	#123	C₂⁵	1	1024	yes	—
1026	#123	C₂⁵	1	512	yes	—
1027	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1028	C₂²⋊Q₈	C₂⁵	1	1024	yes	—
1029	C₂²⋊Q₈	C₂⁵	1	1024	yes	—
1030	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1031	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1032	C₂²⋊Q₈	C₂⁵	1	1024	yes	—
1033	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1034	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1035	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1036	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1037	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1038	#121	C₂⁵	1	256	yes	—
1039	#121	C₂⁵	1	256	yes	—
1040	#121	C₂⁵	1	512	yes	—
1041	#121	C₂⁵	1	512	yes	—
1042	#121	C₂⁵	1	1024	yes	—
1043	#121	C₂⁵	1	512	yes	—
1044	#121	C₂⁵	1	1024	yes	—
1045	#121	C₂⁵	1	512	yes	—
1046	#121	C₂⁵	1	1024	yes	—
1047	#121	C₂⁵	1	512	yes	—
1048	#121	C₂⁵	1	1024	yes	—
1049	#121	C₂⁵	1	1024	yes	—
1050	#121	C₂⁵	1	512	yes	—
1051	#121	C₂⁵	1	512	yes	—
1052	#121	C₂⁵	1	512	yes	—
1053	#121	C₂⁵	1	256	yes	—
1054	#121	C₂⁵	1	512	yes	—
1055	#121	C₂⁵	1	512	yes	—
1056	#120	C₂⁵	1	1024	yes	—
1057	#120	C₂⁵	1	1024	yes	—
1058	#120	C₂⁵	1	1024	yes	—
1059	C₄×Q₈	C₂⁵	1	128	yes	—
1060	C₄×Q₈	C₂⁵	1	128	yes	—
1061	C₄×Q₈	C₂⁵	1	256	yes	—
1062	C₄×Q₈	C₂⁵	1	256	yes	—
1063	C₄×Q₈	C₂⁵	1	128	yes	—
1064	C₄×Q₈	C₂⁵	1	256	yes	—
1065	C₄×Q₈	C₂⁵	1	512	yes	—
1066	C₄×Q₈	C₂⁵	1	256	yes	—
1067	C₄×Q₈	C₂⁵	1	128	yes	—
1068	C₄×Q₈	C₂⁵	1	256	yes	—
1069	C₄×Q₈	C₂⁵	1	512	yes	—
1070	C₄×D₄	C₂⁵	1	256	yes	—
1071	C₄×D₄	C₂⁵	1	512	yes	—
1072	C₄×D₄	C₂⁵	1	512	yes	—
1073	C₄×D₄	C₂⁵	1	256	yes	—
1074	C₄×D₄	C₂⁵	1	256	yes	—
1075	C₄×D₄	C₂⁵	1	512	yes	—
1076	C₄×D₄	C₂⁵	1	256	yes	—
1077	C₄×D₄	C₂⁵	1	128	yes	—
1078	C₄×D₄	C₂⁵	1	1024	yes	—
1079	C₄×D₄	C₂⁵	1	512	yes	—
1080	C₄×D₄	C₂⁵	1	256	yes	—
1081	C₄×D₄	C₂⁵	1	256	yes	—
1082	C₄×D₄	C₂⁵	1	256	yes	—
1083	C₄×D₄	C₂⁵	1	1024	yes	—
1084	C₄×D₄	C₂⁵	1	512	yes	—
1085	C₄×D₄	C₂⁵	1	256	yes	—
1086	C₄×D₄	C₂⁵	1	512	yes	—
1087	C₄×D₄	C₂⁵	1	1024	yes	—
1088	C₄×D₄	C₂⁵	1	1024	yes	—
1089	C₄×D₄	C₂⁵	1	512	yes	—
1090	C₄×D₄	C₂⁵	1	512	yes	—
1091	C₄×D₄	C₂⁵	1	1024	yes	—
1092	C₄×D₄	C₂⁵	1	512	yes	—
1093	C₄×D₄	C₂⁵	1	512	yes	—
1094	C₄×D₄	C₂⁵	1	1024	yes	—
1095	C₄×D₄	C₂⁵	1	128	yes	—
1096	C₄×D₄	C₂⁵	1	256	yes	—
1097	C₄×D₄	C₂⁵	1	512	yes	—
1098	C₄×D₄	C₂⁵	1	256	yes	—
1099	C₄×D₄	C₂⁵	1	512	yes	—
1100	C₄×D₄	C₂⁵	1	256	yes	—
1101	C₄×D₄	C₂⁵	1	512	yes	—
1102	C₄×D₄	C₂⁵	1	1024	yes	—
1103	C₄×D₄	C₂⁵	1	512	yes	—
1104	C₄×D₄	C₂⁵	1	256	yes	—
1105	#117	C₂⁵	1	256	yes	—
1106	#117	C₂⁵	1	512	yes	—
1107	#117	C₂⁵	1	1024	yes	—
1108	#117	C₂⁵	1	128	yes	—
1109	#117	C₂⁵	1	512	yes	—
1110	#117	C₂⁵	1	256	yes	—
1111	#117	C₂⁵	1	512	yes	—
1112	#117	C₂⁵	1	1024	yes	—
1113	#117	C₂⁵	1	256	yes	—
1114	#117	C₂⁵	1	512	yes	—
1115	#117	C₂⁵	1	512	yes	—
1116	#117	C₂⁵	1	1024	yes	—
1117	C₂×C₄⋊C₄	C₂⁵	1	12	yes	—
1118	C₂×C₄⋊C₄	C₂⁵	1	12	yes	—
1119	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1120	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1121	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1122	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1123	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1124	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1125	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1126	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1127	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1128	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1129	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1130	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1131	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1132	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1133	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1134	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1135	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1136	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1137	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1138	C₂×C₄⋊C₄	C₂⁵	1	128	yes	—
1139	C₂×C₄⋊C₄	C₂⁵	1	512	yes	—
1140	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1141	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1142	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1143	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1144	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1145	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1146	C₂×C₄⋊C₄	C₂⁵	1	128	yes	—
1147	C₂×C₄⋊C₄	C₂⁵	1	512	yes	—
1148	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1149	C₂×C₄⋊C₄	C₂⁵	1	512	yes	—
1150	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1151	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1152	C₂×C₄⋊C₄	C₂⁵	1	128	yes	—
1153	C₂×C₄⋊C₄	C₂⁵	1	512	yes	—
1154	C₂×C₄⋊C₄	C₂⁵	1	256	yes	—
1155	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1156	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1157	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1158	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1159	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1160	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1161	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1162	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1163	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1164	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1165	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1166	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1167	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1168	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1169	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1170	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1171	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1172	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1173	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1174	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1175	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1176	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1177	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1178	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1179	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1180	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1181	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1182	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
1183	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1184	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1185	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1186	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1187	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1188	C₂×C₄²	C₂⁵	1	48	yes	—
1189	C₂×C₄²	C₂⁵	1	96	yes	—
1190	C₂×C₄²	C₂⁵	1	192	yes	—
1191	C₂×C₄²	C₂⁵	1	96	yes	—
1192	C₂×C₄²	C₂⁵	1	48	yes	—
1193	C₂×C₄²	C₂⁵	1	96	yes	—
1194	C₂×C₄²	C₂⁵	1	24	yes	—
1195	C₂×C₄²	C₂⁵	1	48	yes	—
1196	C₂×C₄²	C₂⁵	1	512	yes	—
1197	C₂×C₄²	C₂⁵	1	48	yes	—
1198	C₂×C₄²	C₂⁵	1	48	yes	—
1199	C₂×C₄²	C₂⁵	1	24	yes	—
1200	C₂×C₄²	C₂⁵	1	128	yes	—
1201	C₂×C₄²	C₂⁵	1	64	yes	—
1202	C₂×C₄²	C₂⁵	1	256	yes	—
1203	C₂×C₄²	C₂⁵	1	512	yes	—
1204	C₂×C₄²	C₂⁵	1	256	yes	—
1205	C₂⁴	—	2	4	no	—
1206	C₂⁴	—	2	16	no	—
1207	C₂⁴	—	2	4	no	—
1208	C₂⁴	—	2	16	no	—
1209	C₂⁴	—	2	16	no	—
1210	C₂⁴	—	2	32	no	—
1211	C₂⁴	—	2	16	no	—
1212	C₂⁴	—	2	32	no	—
1213	C₂⁴	—	2	32	no	—
1214	C₂⁴	—	2	16	no	—
1215	C₂⁴	—	2	192	no	—
1216	C₂⁴	—	2	384	no	—
1217	C₂⁴	—	4	48	no	—
1218	C₂⁴	—	4	48	no	—
1219	C₂⁴	—	4	128	no	—
1220	C₂⁴	—	4	96	no	—
1221	C₂⁴	—	4	192	no	—
1222	C₂⁴	—	4	192	no	—
1223	C₂⁴	—	4	96	no	—
1224	C₂⁴	—	8	128	no	—
1225	C₂⁴	—	8	256	no	—
1226	C₂⁴	C₂²×#41	1	32	yes	—
1227	C₂⁴	C₂²×#41	1	8	yes	—
1228	C₂⁴	C₂²×#41	1	192	yes	—
1229	C₂⁴	C₂⁶	1	24	yes	—
1230	C₂⁴	C₂⁶	1	48	yes	—
1231	C₂⁴	C₂⁶	1	24	yes	—
1232	C₂⁴	C₂⁶	1	6	yes	—
1233	C₂⁴	C₂⁶	1	64	yes	—
1234	C₂⁴	C₂⁶	1	128	yes	—
1235	C₂⁴	C₂⁶	1	32	yes	—
1236	C₂⁴	C₂⁶	1	1	yes	characteristic
1237	#41	—	2	2048	no	—
1238	#41	—	2	1024	no	—
1239	#41	—	2	512	no	—
1240	#41	—	2	1024	no	—
1241	#41	—	4	512	no	—
1242	#41	—	8	512	no	—
1243	C₂×Q₈	—	2	192	no	—
1244	C₂×Q₈	—	2	96	no	—
1245	C₂×Q₈	—	2	96	no	—
1246	C₂×Q₈	—	4	48	no	—
1247	C₂×Q₈	—	4	192	no	—
1248	C₂×Q₈	—	4	128	no	—
1249	C₂×Q₈	—	8	128	no	—
1250	C₂×Q₈	C₂⁶	1	32	yes	—
1251	C₂×Q₈	C₂⁶	1	64	yes	—
1252	C₂×Q₈	C₂⁶	1	32	yes	—
1253	C₂×Q₈	C₂⁶	1	32	yes	—
1254	C₂×Q₈	C₂⁶	1	128	yes	—
1255	C₂×D₄	—	2	384	no	—
1256	C₂×D₄	—	2	768	no	—
1257	C₂×D₄	—	2	192	no	—
1258	C₂×D₄	—	2	384	no	—
1259	C₂×D₄	—	2	2048	no	—
1260	C₂×D₄	—	2	1024	no	—
1261	C₂×D₄	—	2	1024	no	—
1262	C₂×D₄	—	2	2048	no	—
1263	C₂×D₄	—	2	96	no	—
1264	C₂×D₄	—	2	192	no	—
1265	C₂×D₄	—	2	192	no	—
1266	C₂×D₄	—	4	512	no	—
1267	C₂×D₄	—	4	192	no	—
1268	C₂×D₄	—	4	192	no	—
1269	C₂×D₄	—	4	384	no	—
1270	C₂×D₄	—	4	192	no	—
1271	C₂×D₄	—	4	96	no	—
1272	C₂×D₄	—	8	512	no	—
1273	C₂×D₄	C₂²×#41	1	384	yes	—
1274	C₂×D₄	C₂²×#41	1	512	yes	complemented
1275	C₂×D₄	C₂⁶	1	128	yes	—
1276	C₂×D₄	C₂⁶	1	256	yes	—
1277	C₂×D₄	C₂⁶	1	64	yes	—
1278	C₂×D₄	C₂⁶	1	128	yes	—
1279	C₂×D₄	C₂⁶	1	64	yes	—
1280	C₂×D₄	C₂⁶	1	32	yes	—
1281	C₂×D₄	C₂⁶	1	64	yes	—
1282	C₂×D₄	C₂⁶	1	128	yes	—
1283	C₂×D₄	C₂⁶	1	128	yes	—
1284	C₂×D₄	C₂⁶	1	64	yes	—
1285	C₂×D₄	C₂⁶	1	256	yes	—
1286	C₂×D₄	C₂⁶	1	128	yes	—
1287	C₂×D₄	C₂⁶	1	64	yes	—
1288	C₂²×C₄	—	2	32	no	—
1289	C₂²×C₄	—	2	16	no	—
1290	C₂²×C₄	—	2	384	no	—
1291	C₂²×C₄	—	2	192	no	—
1292	C₂²×C₄	—	2	16	no	—
1293	C₂²×C₄	—	2	16	no	—
1294	C₂²×C₄	—	2	4	no	—
1295	C₂²×C₄	—	2	16	no	—
1296	C₂²×C₄	—	2	8	no	—
1297	C₂²×C₄	—	2	16	no	—
1298	C₂²×C₄	—	2	8	no	—
1299	C₂²×C₄	—	2	32	no	—
1300	C₂²×C₄	—	2	8	no	—
1301	C₂²×C₄	—	2	384	no	—
1302	C₂²×C₄	—	2	192	no	—
1303	C₂²×C₄	—	2	192	no	—
1304	C₂²×C₄	—	2	48	no	—
1305	C₂²×C₄	—	2	192	no	—
1306	C₂²×C₄	—	4	256	no	—
1307	C₂²×C₄	—	4	512	no	—
1308	C₂²×C₄	—	4	96	no	—
1309	C₂²×C₄	—	4	192	no	—
1310	C₂²×C₄	—	4	48	no	—
1311	C₂²×C₄	—	4	96	no	—
1312	C₂²×C₄	—	4	96	no	—
1313	C₂²×C₄	—	4	192	no	—
1314	C₂²×C₄	—	4	48	no	—
1315	C₂²×C₄	—	4	192	no	—
1316	C₂²×C₄	—	4	192	no	—
1317	C₂²×C₄	—	4	96	no	—
1318	C₂²×C₄	—	4	384	no	—
1319	C₂²×C₄	—	4	48	no	—
1320	C₂²×C₄	—	4	24	no	—
1321	C₂²×C₄	—	4	192	no	—
1322	C₂²×C₄	—	4	96	no	—
1323	C₂²×C₄	—	8	512	no	—
1324	C₂²×C₄	—	8	256	no	—
1325	C₂²×C₄	C₂²×#41	1	16	yes	—
1326	C₂²×C₄	C₂²×#41	1	96	yes	—
1327	C₂²×C₄	#585	1	8	yes	—
1328	C₂²×C₄	C₂⁶	1	24	yes	—
1329	C₂²×C₄	C₂⁶	1	24	yes	—
1330	C₂²×C₄	C₂⁶	1	12	yes	—
1331	C₂²×C₄	C₂⁶	1	24	yes	—
1332	C₂²×C₄	C₂⁶	1	12	yes	—
1333	C₂²×C₄	C₂⁶	1	24	yes	—
1334	C₂²×C₄	C₂⁶	1	48	yes	—
1335	C₂²×C₄	C₂⁶	1	6	yes	—
1336	C₂²×C₄	C₂⁶	1	24	yes	—
1337	C₂²×C₄	C₂⁶	1	48	yes	—
1338	C₂²×C₄	C₂⁶	1	12	yes	—
1339	C₂²×C₄	C₂⁶	1	128	yes	—
1340	C₂²×C₄	C₂⁶	1	64	yes	—
1341	C₂²×C₄	C₂⁶	1	16	yes	—
1342	C₂²×C₄	C₂⁶	1	64	yes	—
1343	C₂²×C₄	C₂⁶	1	128	yes	—
1344	C₂²×C₄	C₂⁶	1	64	yes	—
1345	C₂²×C₄	C₂⁶	1	64	yes	—
1346	C₂²×C₄	C₂⁶	1	64	yes	—
1347	C₂²×C₄	C₂⁶	1	32	yes	—
1348	C₂²×C₄	C₂⁶	1	64	yes	—
1349	C₂²×C₄	C₂⁶	1	16	yes	—
1350	C₂²×C₄	C₂⁶	1	128	yes	—
1351	C₂²×C₄	C₂⁶	1	128	yes	—
1352	C₂²×C₄	C₂⁶	1	64	yes	—
1353	C₂²×C₄	C₂⁶	1	32	yes	—
1354	C₂²×C₄	C₂⁶	1	128	yes	—
1355	C₂²×C₄	C₂⁶	1	64	yes	—
1356	C₂²×C₄	C₂⁶	1	32	yes	—
1357	C₂²×C₄	C₂⁶	1	64	yes	—
1358	C₂²×C₄	C₂⁶	1	128	yes	—
1359	C₂²×C₄	C₂⁶	1	128	yes	—
1360	C₂²×C₄	C₂⁶	1	256	yes	—
1361	C₂²×C₄	C₂⁶	1	12	yes	—
1362	C₂²×C₄	C₂⁶	1	16	yes	—
1363	C₂²×C₄	C₂⁶	1	6	yes	—
1364	C₄⋊C₄	C₂⁶	1	16	yes	—
1365	C₄⋊C₄	C₂⁶	1	16	yes	—
1366	C₄⋊C₄	C₂⁶	1	32	yes	—
1367	C₄⋊C₄	C₂⁶	1	32	yes	—
1368	C₄⋊C₄	C₂⁶	1	64	yes	—
1369	C₄⋊C₄	C₂⁶	1	128	yes	—
1370	C₄⋊C₄	C₂⁶	1	128	yes	—
1371	C₄⋊C₄	C₂⁶	1	64	yes	—
1372	C₄⋊C₄	C₂⁶	1	32	yes	—
1373	C₄⋊C₄	C₂⁶	1	64	yes	—
1374	C₄⋊C₄	C₂⁶	1	64	yes	—
1375	C₄⋊C₄	C₂⁶	1	128	yes	—
1376	C₄⋊C₄	C₂⁶	1	256	yes	—
1377	C₄⋊C₄	C₂⁶	1	64	yes	—
1378	C₄⋊C₄	C₂⁶	1	128	yes	—
1379	C₄⋊C₄	C₂⁶	1	128	yes	—
1380	C₄⋊C₄	C₂⁶	1	128	yes	—
1381	C₄⋊C₄	C₂⁶	1	64	yes	—
1382	C₄⋊C₄	C₂⁶	1	128	yes	—
1383	C₄⋊C₄	C₂⁶	1	256	yes	—
1384	C₄⋊C₄	C₂⁶	1	256	yes	—
1385	C₄⋊C₄	C₂⁶	1	64	yes	—
1386	C₄⋊C₄	C₂⁶	1	64	yes	—
1387	C₄⋊C₄	C₂⁶	1	128	yes	—
1388	C₄⋊C₄	C₂⁶	1	128	yes	—
1389	C₄⋊C₄	C₂⁶	1	64	yes	—
1390	C₂²⋊C₄	C₂⁶	1	128	yes	—
1391	C₂²⋊C₄	C₂⁶	1	128	yes	—
1392	C₂²⋊C₄	C₂⁶	1	64	yes	—
1393	C₂²⋊C₄	C₂⁶	1	256	yes	—
1394	C₂²⋊C₄	C₂⁶	1	128	yes	—
1395	C₂²⋊C₄	C₂⁶	1	128	yes	—
1396	C₂²⋊C₄	C₂⁶	1	128	yes	—
1397	C₂²⋊C₄	C₂⁶	1	128	yes	—
1398	C₂²⋊C₄	C₂⁶	1	256	yes	—
1399	C₂²⋊C₄	C₂⁶	1	128	yes	—
1400	C₂²⋊C₄	C₂⁶	1	64	yes	—
1401	C₂²⋊C₄	C₂⁶	1	64	yes	—
1402	C₂²⋊C₄	C₂⁶	1	128	yes	—
1403	C₂²⋊C₄	C₂⁶	1	256	yes	—
1404	C₂²⋊C₄	C₂⁶	1	256	yes	—
1405	C₂²⋊C₄	C₂⁶	1	256	yes	—
1406	C₂²⋊C₄	C₂⁶	1	128	yes	—
1407	C₂²⋊C₄	C₂⁶	1	128	yes	—
1408	C₂²⋊C₄	C₂⁶	1	128	yes	—
1409	C₄²	C₂⁶	1	64	yes	—
1410	C₄²	C₂⁶	1	128	yes	—
1411	C₄²	C₂⁶	1	64	yes	—
1412	C₄²	C₂⁶	1	64	yes	—
1413	C₄²	C₂⁶	1	32	yes	—
1414	C₄²	C₂⁶	1	128	yes	—
1415	C₄²	C₂⁶	1	256	yes	—
1416	C₄²	C₂⁶	1	128	yes	—
1417	C₄²	C₂⁶	1	64	yes	—
1418	C₄²	C₂⁶	1	32	yes	—
1419	C₄²	C₂⁶	1	64	yes	—
1420	C₂³	—	2	32	no	—
1421	C₂³	—	2	128	no	—
1422	C₂³	—	2	12	no	—
1423	C₂³	—	2	48	no	—
1424	C₂³	—	2	12	no	—
1425	C₂³	—	2	48	no	—
1426	C₂³	—	2	48	no	—
1427	C₂³	—	2	96	no	—
1428	C₂³	—	2	48	no	—
1429	C₂³	—	2	96	no	—
1430	C₂³	—	2	96	no	—
1431	C₂³	—	2	48	no	—
1432	C₂³	—	2	128	no	—
1433	C₂³	—	2	256	no	—
1434	C₂³	—	4	32	no	—
1435	C₂³	—	4	32	no	—
1436	C₂³	—	4	384	no	—
1437	C₂³	—	4	64	no	—
1438	C₂³	—	4	128	no	—
1439	C₂³	—	4	128	no	—
1440	C₂³	—	4	64	no	—
1441	C₂³	—	4	64	no	—
1442	C₂³	—	4	128	no	—
1443	C₂³	—	8	384	no	—
1444	C₂³	—	8	768	no	—
1445	C₂³	C₂³×#41	1	96	yes	—
1446	C₂³	C₂³×#41	1	24	yes	—
1447	C₂³	C₂³×#41	1	128	yes	—
1448	C₂³	C₂³×#41	1	4	yes	—
1449	C₂³	C₂×#585	1	4	yes	—
1450	C₂³	H(7,𝔽₂)	1	4	yes	—
1451	C₂³	C₂⁷	1	16	yes	—
1452	C₂³	C₂⁷	1	32	yes	—
1453	C₂³	C₂⁷	1	16	yes	—
1454	C₂³	C₂⁷	1	4	yes	—
1455	C₂³	C₂⁷	1	3	yes	—
1456	Q₈	—	2	128	no	—
1457	Q₈	—	2	64	no	—
1458	Q₈	—	2	64	no	—
1459	Q₈	—	4	32	no	—
1460	Q₈	—	4	128	no	—
1461	D₄	—	2	256	no	—
1462	D₄	—	2	512	no	—
1463	D₄	—	2	128	no	—
1464	D₄	—	2	256	no	—
1465	D₄	—	2	64	no	—
1466	D₄	—	2	128	no	—
1467	D₄	—	2	128	no	—
1468	D₄	—	4	128	no	—
1469	D₄	—	4	128	no	—
1470	D₄	—	4	256	no	—
1471	D₄	—	4	128	no	—
1472	D₄	—	4	64	no	—
1473	D₄	C₂³×#41	1	256	yes	—
1474	C₂×C₄	—	2	48	no	—
1475	C₂×C₄	—	2	96	no	—
1476	C₂×C₄	—	2	256	no	—
1477	C₂×C₄	—	2	128	no	—
1478	C₂×C₄	—	2	48	no	—
1479	C₂×C₄	—	2	48	no	—
1480	C₂×C₄	—	2	12	no	—
1481	C₂×C₄	—	2	48	no	—
1482	C₂×C₄	—	2	24	no	—
1483	C₂×C₄	—	2	48	no	—
1484	C₂×C₄	—	2	24	no	—
1485	C₂×C₄	—	2	96	no	—
1486	C₂×C₄	—	2	24	no	—
1487	C₂×C₄	—	2	256	no	—
1488	C₂×C₄	—	2	128	no	—
1489	C₂×C₄	—	2	128	no	—
1490	C₂×C₄	—	2	32	no	—
1491	C₂×C₄	—	2	128	no	—
1492	C₂×C₄	—	4	64	no	—
1493	C₂×C₄	—	4	128	no	—
1494	C₂×C₄	—	4	32	no	—
1495	C₂×C₄	—	4	64	no	—
1496	C₂×C₄	—	4	64	no	—
1497	C₂×C₄	—	4	128	no	—
1498	C₂×C₄	—	4	32	no	—
1499	C₂×C₄	—	4	128	no	—
1500	C₂×C₄	—	4	128	no	—
1501	C₂×C₄	—	4	64	no	—
1502	C₂×C₄	—	4	256	no	—
1503	C₂×C₄	—	4	32	no	—
1504	C₂×C₄	—	4	16	no	—
1505	C₂×C₄	—	4	128	no	—
1506	C₂×C₄	—	4	64	no	—
1507	C₂×C₄	C₂³×#41	1	48	yes	—
1508	C₂×C₄	C₂³×#41	1	64	yes	—
1509	C₂×C₄	C₂×#585	1	24	yes	—
1510	C₂×C₄	C₂⁷	1	16	yes	—
1511	C₂×C₄	C₂⁷	1	16	yes	—
1512	C₂×C₄	C₂⁷	1	8	yes	—
1513	C₂×C₄	C₂⁷	1	16	yes	—
1514	C₂×C₄	C₂⁷	1	8	yes	—
1515	C₂×C₄	C₂⁷	1	32	yes	—
1516	C₂×C₄	C₂⁷	1	16	yes	—
1517	C₂×C₄	C₂⁷	1	4	yes	—
1518	C₂×C₄	C₂⁷	1	16	yes	—
1519	C₂×C₄	C₂⁷	1	32	yes	—
1520	C₂×C₄	C₂⁷	1	8	yes	—
1521	C₂×C₄	C₂⁷	1	8	yes	—
1522	C₂×C₄	C₂⁷	1	4	yes	—
1523	C₂²	—	2	4	no	—
1524	C₂²	—	2	16	no	—
1525	C₂²	—	2	4	no	—
1526	C₂²	—	2	16	no	—
1527	C₂²	—	2	48	no	—
1528	C₂²	—	2	192	no	—
1529	C₂²	—	2	16	no	—
1530	C₂²	—	2	32	no	—
1531	C₂²	—	2	16	no	—
1532	C₂²	—	2	32	no	—
1533	C₂²	—	2	32	no	—
1534	C₂²	—	2	16	no	—
1535	C₂²	—	4	128	no	—
1536	C₂²	—	4	96	no	—
1537	C₂²	—	4	192	no	—
1538	C₂²	—	8	128	no	—
1539	C₂²	—	8	256	no	—
1540	C₂²	#62992	1	16	yes	direct product factor
1541	C₂²	C₂⁴×#41	1	32	yes	—
1542	C₂²	C₂⁴×#41	1	8	yes	—
1543	C₂²	C₂⁴×#41	1	6	yes	—
1544	C₂²	C₂²×#585	1	6	yes	—
1545	C₂²	C₂×H(7,𝔽₂)	1	6	yes	—
1546	C₂²	C₂⁸	1	1	yes	characteristic
1547	C₄	—	2	32	no	—
1548	C₄	—	2	16	no	—
1549	C₄	—	2	16	no	—
1550	C₄	—	2	16	no	—
1551	C₄	—	2	4	no	—
1552	C₄	—	2	16	no	—
1553	C₄	—	2	8	no	—
1554	C₄	—	2	16	no	—
1555	C₄	—	2	8	no	—
1556	C₄	—	2	32	no	—
1557	C₄	—	2	8	no	—
1558	C₄	C₂⁴×#41	1	16	yes	—
1559	C₄	C₂²×#585	1	8	yes	—
1560	C₂	—	2	8	no	—
1561	C₂	—	2	32	no	—
1562	C₂	—	4	16	no	—
1563	C₂	—	4	32	no	—
1564	C₂	C₂×#62992	1	12	yes	direct product factor
1565	C₂	C₂⁵×#41	1	1	yes	characteristic
1566	C₂	C₂³×#585	1	1	yes	characteristic
1567	C₂	C₂²×H(7,𝔽₂)	1	1	yes	characteristic

	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×#62992	C₂	direct (N × H)
2. C₂²×#3512	C₂	semidirect
3. C₂²×#3511	C₂	semidirect
4. C₂²×#3521	C₂	semidirect
5. C₂²×#3515	C₂	semidirect
6. C₂²×#3519	C₂	semidirect
7. C₂²×#3513	C₂	semidirect
8. C₂²×#3505	C₂	semidirect
9. C₂²×#3505	C₂	semidirect
10. C₂²×#3496	C₂	semidirect
11. C₂²×#3496	C₂	semidirect
12. C₂²×#3481	C₂	semidirect
13. C₂²×#3480	C₂	semidirect
14. C₂²×#3475	C₂	semidirect
15. C₂³×#553	C₂	semidirect
16. C₂³×#554	C₂	semidirect
17. C₂²×C₄×H(5,𝔽₂)	C₂	semidirect
18. C₂²×C₄×H(5,𝔽₂)	C₂	semidirect
21. #62992	C₂²	direct (N × H)
22. C₂×#3512	C₂²	semidirect
23. C₂×#3511	C₂²	semidirect
24. C₂×#3521	C₂²	semidirect
25. C₂×#3515	C₂²	semidirect
26. C₂×#3519	C₂²	semidirect
27. C₂×#3513	C₂²	semidirect
28. C₂×#3505	C₂²	semidirect
29. C₂×#3505	C₂²	semidirect
30. C₂×#3496	C₂²	semidirect
31. C₂×#3496	C₂²	semidirect
32. C₂×#3481	C₂²	semidirect
33. C₂×#3480	C₂²	semidirect
34. C₂²×#559	C₂²	semidirect
35. C₂²×#559	C₂²	semidirect
36. C₂²×#557	C₂²	semidirect
37. C₂×#3475	C₂²	semidirect
38. C₂²×#555	C₂²	semidirect
39. C₂²×#556	C₂²	semidirect
40. C₂²×#556	C₂²	semidirect
41. C₂²×#556	C₂²	semidirect
42. C₂²×#553	C₂²	semidirect
43. C₂²×#553	C₂²	semidirect
44. C₂²×#553	C₂²	semidirect
45. C₂²×#553	C₂²	semidirect
46. C₂²×#553	C₂²	semidirect
47. C₂²×#553	C₂²	semidirect
48. C₂²×#553	C₂²	semidirect
49. C₂²×#553	C₂²	semidirect
50. C₂²×#553	C₂²	semidirect
51. C₂²×#553	C₂²	semidirect
52. C₂²×#553	C₂²	semidirect
53. C₂²×#552	C₂²	semidirect
54. C₂²×#552	C₂²	semidirect
55. C₂²×#552	C₂²	semidirect
56. C₂²×#552	C₂²	semidirect
57. C₂²×#551	C₂²	semidirect
58. C₂²×#551	C₂²	semidirect
59. C₂²×#551	C₂²	semidirect
60. C₂²×#554	C₂²	semidirect
61. C₂²×#554	C₂²	semidirect
62. C₂²×#554	C₂²	semidirect
63. C₂²×#554	C₂²	semidirect
64. C₂²×#554	C₂²	semidirect
65. C₂²×#550	C₂²	semidirect
66. C₂²×#547	C₂²	semidirect
67. C₂²×#547	C₂²	semidirect
68. C₂²×#547	C₂²	semidirect
69. C₂²×#548	C₂²	semidirect
70. C₂²×#548	C₂²	semidirect
71. C₂²×#546	C₂²	semidirect
72. C₂²×#546	C₂²	semidirect
73. C₂²×#546	C₂²	semidirect
74. C₂²×#546	C₂²	semidirect
75. C₂²×#546	C₂²	semidirect
76. C₂²×D₄²	C₂²	semidirect
77. C₂²×D₄²	C₂²	semidirect
78. C₂²×#541	C₂²	semidirect
79. C₂²×#542	C₂²	semidirect
80. C₂²×#540	C₂²	semidirect
81. C₂²×#537	C₂²	semidirect
82. C₂²×#537	C₂²	semidirect
83. C₂²×#539	C₂²	semidirect
84. C₂²×#539	C₂²	semidirect
85. C₂²×#538	C₂²	semidirect
86. C₂²×#538	C₂²	semidirect
87. C₂²×#534	C₂²	semidirect
88. C₂²×#534	C₂²	semidirect
89. C₂²×#533	C₂²	semidirect
90. C₂²×#532	C₂²	semidirect
91. C₂²×#532	C₂²	semidirect
92. C₂²×#532	C₂²	semidirect
93. C₂³×C₄⋊Q₈	C₂²	semidirect
94. C₂²×#529	C₂²	semidirect
95. C₂²×#529	C₂²	semidirect
96. C₂²×#529	C₂²	semidirect
97. C₂²×#529	C₂²	semidirect
98. C₂²×#529	C₂²	semidirect
99. C₂²×#529	C₂²	semidirect
100. C₂³×#126	C₂²	semidirect
101. C₂³×#125	C₂²	semidirect
102. C₂³×#125	C₂²	semidirect
103. C₂²×#525	C₂²	semidirect
104. C₂²×#525	C₂²	semidirect
105. C₂³×#123	C₂²	semidirect
106. C₂³×C₂²⋊Q₈	C₂²	semidirect
107. C₂³×C₂²⋊Q₈	C₂²	semidirect
108. C₂³×#121	C₂²	semidirect
109. C₂³×#121	C₂²	semidirect
110. C₂³×#121	C₂²	semidirect
111. C₂×C₄×H(5,𝔽₂)	C₂²	semidirect
112. C₂×C₄×H(5,𝔽₂)	C₂²	semidirect
113. C₂²×#520	C₂²	semidirect
114. C₂²×#520	C₂²	semidirect
115. C₂²×#520	C₂²	semidirect
116. C₂²×#520	C₂²	semidirect
118. C₂²×#518	C₂²	semidirect
119. C₂²×#518	C₂²	semidirect
120. C₂²×#518	C₂²	semidirect
121. C₂²×#518	C₂²	semidirect
122. C₂²×C₄×#41	C₂²	semidirect
123. C₂²×C₄×#41	C₂²	semidirect
124. C₂²×C₄×#41	C₂²	semidirect
125. C₂²×C₄×#41	C₂²	semidirect
126. C₂²×C₄×#41	C₂²	semidirect
127. C₂³×C₄×Q₈	C₂²	semidirect
130. C₂³×C₄×D₄	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×#117	C₂²	semidirect
136. C₂⁴×C₄⋊C₄	C₂²	semidirect
160. #3521	C₂³	semidirect
161. #3519	C₂³	semidirect
162. #3515	C₂³	semidirect
163. #3513	C₂³	semidirect
164. #3512	C₂³	semidirect
165. #3511	C₂³	semidirect
166. #3505	C₂³	semidirect
167. #3505	C₂³	semidirect
168. #3496	C₂³	semidirect
169. #3496	C₂³	semidirect
170. #3481	C₂³	semidirect
171. #3480	C₂³	semidirect
172. C₂×#559	C₂³	semidirect
173. C₂×#559	C₂³	semidirect
174. C₂×#557	C₂³	semidirect
175. #3475	C₂³	semidirect
176. C₂×#556	C₂³	semidirect
177. C₂×#556	C₂³	semidirect
178. C₂×#556	C₂³	semidirect
179. C₂×#555	C₂³	semidirect
180. C₂×#554	C₂³	semidirect
181. C₂×#554	C₂³	semidirect
182. C₂×#554	C₂³	semidirect
183. C₂×#554	C₂³	semidirect
184. C₂×#554	C₂³	semidirect
185. C₂×#553	C₂³	semidirect
186. C₂×#553	C₂³	semidirect
187. C₂×#553	C₂³	semidirect
188. C₂×#553	C₂³	semidirect
189. C₂×#553	C₂³	semidirect
190. C₂×#553	C₂³	semidirect
191. C₂×#553	C₂³	semidirect
192. C₂×#553	C₂³	semidirect
193. C₂×#553	C₂³	semidirect
194. C₂×#553	C₂³	semidirect
195. C₂×#553	C₂³	semidirect
196. C₂×#552	C₂³	semidirect
197. C₂×#552	C₂³	semidirect
198. C₂×#552	C₂³	semidirect
199. C₂×#552	C₂³	semidirect
200. C₂×#551	C₂³	semidirect
201. C₂×#551	C₂³	semidirect
202. C₂×#551	C₂³	semidirect
203. C₂×#550	C₂³	semidirect
204. C₂×#548	C₂³	semidirect
205. C₂×#548	C₂³	semidirect
206. C₂×#547	C₂³	semidirect
207. C₂×#547	C₂³	semidirect
208. C₂×#547	C₂³	semidirect
209. C₂×#546	C₂³	semidirect
210. C₂×#546	C₂³	semidirect
211. C₂×#546	C₂³	semidirect
212. C₂×#546	C₂³	semidirect
213. C₂×#546	C₂³	semidirect
214. C₂×D₄²	C₂³	semidirect
215. C₂×D₄²	C₂³	semidirect
216. C₂×#542	C₂³	semidirect
217. C₂×#541	C₂³	semidirect
218. C₂×#540	C₂³	semidirect
219. C₂×#539	C₂³	semidirect
220. C₂×#539	C₂³	semidirect
221. C₂×#538	C₂³	semidirect
222. C₂×#538	C₂³	semidirect
223. C₂×#537	C₂³	semidirect
224. C₂×#537	C₂³	semidirect
225. C₂×#534	C₂³	semidirect
226. C₂×#534	C₂³	semidirect
227. C₂×#533	C₂³	semidirect
228. C₂×#532	C₂³	semidirect
229. C₂×#532	C₂³	semidirect
230. C₂×#532	C₂³	semidirect
235. C₂²×C₄⋊Q₈	C₂³	semidirect
238. C₂×#529	C₂³	semidirect
239. C₂×#529	C₂³	semidirect
240. C₂×#529	C₂³	semidirect
241. C₂×#529	C₂³	semidirect
242. C₂×#529	C₂³	semidirect
243. C₂×#529	C₂³	semidirect
252. C₂²×#126	C₂³	semidirect
260. C₂²×#125	C₂³	semidirect
261. C₂²×#125	C₂³	semidirect
269. C₂×#525	C₂³	semidirect
270. C₂×#525	C₂³	semidirect
282. C₂²×#123	C₂³	semidirect
294. C₂²×C₂²⋊Q₈	C₂³	semidirect
295. C₂²×C₂²⋊Q₈	C₂³	semidirect
314. C₂²×#121	C₂³	semidirect
315. C₂²×#121	C₂³	semidirect
316. C₂²×#121	C₂³	semidirect
320. C₄×H(5,𝔽₂)	C₂³	semidirect
321. C₄×H(5,𝔽₂)	C₂³	semidirect
322. C₂×#520	C₂³	semidirect
323. C₂×#520	C₂³	semidirect
324. C₂×#520	C₂³	semidirect
325. C₂×#520	C₂³	semidirect
327. C₂×#518	C₂³	semidirect
328. C₂×#518	C₂³	semidirect
329. C₂×#518	C₂³	semidirect
330. C₂×#518	C₂³	semidirect
331. C₂×C₄×#41	C₂³	semidirect
332. C₂×C₄×#41	C₂³	semidirect
333. C₂×C₄×#41	C₂³	semidirect
334. C₂×C₄×#41	C₂³	semidirect
335. C₂×C₄×#41	C₂³	semidirect
347. C₂²×C₄×Q₈	C₂³	semidirect
385. C₂²×C₄×D₄	C₂³	semidirect
386. C₂²×C₄×D₄	C₂³	semidirect
387. C₂²×C₄×D₄	C₂³	semidirect
388. C₂²×C₄×D₄	C₂³	semidirect
389. C₂²×C₄×D₄	C₂³	semidirect
402. C₂²×#117	C₂³	semidirect
419. C₂³×C₄⋊C₄	C₂³	semidirect
470. C₂³×D₄	#41	semidirect
522. #559	C₂⁴	semidirect
523. #559	C₂⁴	semidirect
524. #557	C₂⁴	semidirect
525. #556	C₂⁴	semidirect
526. #556	C₂⁴	semidirect
527. #556	C₂⁴	semidirect
528. #555	C₂⁴	semidirect
529. #554	C₂⁴	semidirect
530. #554	C₂⁴	semidirect
531. #554	C₂⁴	semidirect
532. #554	C₂⁴	semidirect
533. #553	C₂⁴	semidirect
534. #553	C₂⁴	semidirect
535. #553	C₂⁴	semidirect
536. #553	C₂⁴	semidirect
537. #553	C₂⁴	semidirect
538. #553	C₂⁴	semidirect
539. #553	C₂⁴	semidirect
540. #553	C₂⁴	semidirect
541. #553	C₂⁴	semidirect
542. #553	C₂⁴	semidirect
543. #552	C₂⁴	semidirect
544. #552	C₂⁴	semidirect
545. #552	C₂⁴	semidirect
546. #552	C₂⁴	semidirect
547. #551	C₂⁴	semidirect
548. #551	C₂⁴	semidirect
549. #551	C₂⁴	semidirect
550. #550	C₂⁴	semidirect
551. #548	C₂⁴	semidirect
552. #548	C₂⁴	semidirect
553. #547	C₂⁴	semidirect
554. #547	C₂⁴	semidirect
555. #547	C₂⁴	semidirect
556. #546	C₂⁴	semidirect
557. #546	C₂⁴	semidirect
558. #546	C₂⁴	semidirect
559. #546	C₂⁴	semidirect
560. #546	C₂⁴	semidirect
561. D₄²	C₂⁴	semidirect
562. D₄²	C₂⁴	semidirect
563. #542	C₂⁴	semidirect
564. #541	C₂⁴	semidirect
565. #540	C₂⁴	semidirect
566. #539	C₂⁴	semidirect
567. #539	C₂⁴	semidirect
568. #538	C₂⁴	semidirect
569. #538	C₂⁴	semidirect
570. #537	C₂⁴	semidirect
571. #537	C₂⁴	semidirect
572. #534	C₂⁴	semidirect
573. #534	C₂⁴	semidirect
574. #533	C₂⁴	semidirect
575. #532	C₂⁴	semidirect
576. #532	C₂⁴	semidirect
577. #532	C₂⁴	semidirect
582. C₂×C₄⋊Q₈	C₂⁴	semidirect
585. #529	C₂⁴	semidirect
586. #529	C₂⁴	semidirect
587. #529	C₂⁴	semidirect
588. #529	C₂⁴	semidirect
589. #529	C₂⁴	semidirect
590. #529	C₂⁴	semidirect
599. C₂×#126	C₂⁴	semidirect
607. C₂×#125	C₂⁴	semidirect
608. C₂×#125	C₂⁴	semidirect
616. #525	C₂⁴	semidirect
617. #525	C₂⁴	semidirect
629. C₂×#123	C₂⁴	semidirect
641. C₂×C₂²⋊Q₈	C₂⁴	semidirect
642. C₂×C₂²⋊Q₈	C₂⁴	semidirect
661. C₂×#121	C₂⁴	semidirect
662. C₂×#121	C₂⁴	semidirect
663. C₂×#121	C₂⁴	semidirect
667. #520	C₂⁴	semidirect
668. #520	C₂⁴	semidirect
669. #520	C₂⁴	semidirect
670. #520	C₂⁴	semidirect
672. #518	C₂⁴	semidirect
673. #518	C₂⁴	semidirect
674. #518	C₂⁴	semidirect
675. #518	C₂⁴	semidirect
676. C₄×#41	C₂⁴	semidirect
677. C₄×#41	C₂⁴	semidirect
678. C₄×#41	C₂⁴	semidirect
679. C₄×#41	C₂⁴	semidirect
680. C₄×#41	C₂⁴	semidirect
692. C₂×C₄×Q₈	C₂⁴	semidirect
730. C₂×C₄×D₄	C₂⁴	semidirect
731. C₂×C₄×D₄	C₂⁴	semidirect
732. C₂×C₄×D₄	C₂⁴	semidirect
733. C₂×C₄×D₄	C₂⁴	semidirect
734. C₂×C₄×D₄	C₂⁴	semidirect
747. C₂×#117	C₂⁴	semidirect
790. C₂²×C₄⋊C₄	C₂⁴	semidirect
900. C₂²×D₄	C₂×#41	semidirect
1274. C₂×D₄	C₂²×#41	semidirect
1540. C₂²	#62992	direct (N × H)
1564. C₂	C₂×#62992	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×#62992	2
C₂²×#3512	2
C₂²×#3511	2
C₂²×#3521	2
C₂²×#3515	2
C₂²×#3519	2
C₂²×#3513	2
C₂²×#3505	2
C₂²×#3496	2
C₂²×#3481	2
C₂²×#3480	2
C₂²×#3475	2
C₂³×#553	2
C₂³×#554	2
C₂²×C₄×H(5,𝔽₂)	2

Subgroups — C22×#62992 #72299716

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#62992 #72299716