Subgroups — C₂²×#62983 #72295847

Order 1024.

517085 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#62983	C₂	1	192	yes	maximal, direct product factor
2	C₂²×#3508	C₂	1	2	yes	maximal, complemented
3	C₂²×#3494	C₂	1	4	yes	maximal, complemented
4	C₂²×#3514	C₂	1	4	yes	maximal, complemented
5	C₂²×#3519	C₂	1	8	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×#3490	C₂	1	8	yes	maximal, complemented
10	C₂²×#3501	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#3484	C₂	1	2	yes	maximal, complemented
12	C₂²×#3481	C₂	1	4	yes	maximal, complemented
13	C₂²×#3475	C₂	1	2	yes	maximal, complemented
14	C₂²×D₄×#41	C₂	1	4	yes	maximal, complemented
15	C₂³×#546	C₂	1	4	yes	maximal, complemented
16	C₂³×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×C₄×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂³×#518	C₂	1	2	yes	maximal, complemented
19	C₂³×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
20	C₂⁴×#41	C₂²	1	4	yes	complemented
21	C₂⁵×D₄	C₂²	1	2	yes	—
22	C₂⁵×D₄	C₂²	1	2	yes	complemented
23	#62983	C₂²	1	4096	yes	direct product factor
24	C₂×#3508	C₂²	1	192	yes	complemented
25	C₂×#3494	C₂²	1	384	yes	complemented
26	C₂×#3514	C₂²	1	384	yes	complemented
27	C₂×#3519	C₂²	1	768	yes	complemented
28	C₂×#3519	C₂²	1	384	yes	complemented
29	C₂×#3513	C₂²	1	768	yes	complemented
30	C₂×#3505	C₂²	1	384	yes	complemented
31	C₂×#3490	C₂²	1	768	yes	complemented
32	C₂×#3501	C₂²	1	96	yes	complemented
33	C₂×#3484	C₂²	1	192	yes	complemented
34	C₂×#3481	C₂²	1	384	yes	complemented
35	C₂²×#559	C₂²	1	4	yes	complemented
36	C₂²×#559	C₂²	1	4	yes	complemented
37	C₂×#3475	C₂²	1	192	yes	complemented
38	C₂²×#555	C₂²	1	2	yes	complemented
39	C₂²×#555	C₂²	1	8	yes	complemented
40	C₂²×#556	C₂²	1	2	yes	complemented
41	C₂²×#553	C₂²	1	4	yes	complemented
42	C₂²×#553	C₂²	1	8	yes	complemented
43	C₂²×#553	C₂²	1	8	yes	complemented
44	C₂²×#553	C₂²	1	16	yes	complemented
45	C₂²×#553	C₂²	1	8	yes	complemented
46	C₂²×#552	C₂²	1	4	yes	complemented
47	C₂²×#552	C₂²	1	4	yes	complemented
48	C₂²×#551	C₂²	1	8	yes	complemented
49	C₂²×#551	C₂²	1	16	yes	complemented
50	C₂²×#551	C₂²	1	16	yes	complemented
51	C₂²×#551	C₂²	1	16	yes	complemented
52	C₂²×#554	C₂²	1	2	yes	complemented
53	C₂²×#554	C₂²	1	4	yes	complemented
54	C₂²×#554	C₂²	1	8	yes	complemented
55	C₂×D₄×#41	C₂²	1	384	yes	complemented
56	C₂²×#550	C₂²	1	4	yes	complemented
57	C₂²×#550	C₂²	1	4	yes	complemented
58	C₂²×#547	C₂²	1	2	yes	complemented
59	C₂²×#547	C₂²	1	8	yes	complemented
60	C₂²×#548	C₂²	1	8	yes	complemented
61	C₂²×#546	C₂²	1	4	yes	complemented
62	C₂²×#546	C₂²	1	8	yes	complemented
63	C₂²×#546	C₂²	1	8	yes	complemented
64	C₂²×#546	C₂²	1	8	yes	complemented
65	C₂²×#546	C₂²	1	16	yes	complemented
66	C₂²×#546	C₂²	1	8	yes	complemented
67	C₂²×#546	C₂²	1	8	yes	complemented
68	C₂²×#546	C₂²	1	16	yes	complemented
69	C₂²×#546	C₂²	1	8	yes	complemented
70	C₂²×#546	C₂²	1	16	yes	complemented
71	C₂²×#546	C₂²	1	16	yes	complemented
72	C₂²×#546	C₂²	1	384	yes	complemented
73	C₂²×D₄×Q₈	C₂²	1	4	yes	complemented
74	C₂²×D₄²	C₂²	1	4	yes	complemented
75	C₂²×D₄²	C₂²	1	8	yes	complemented
76	C₂²×D₄²	C₂²	1	4	yes	complemented
77	C₂²×D₄²	C₂²	1	96	yes	complemented
78	C₂²×D₄²	C₂²	1	8	yes	complemented
79	C₂²×D₄²	C₂²	1	8	yes	complemented
80	C₂²×#542	C₂²	1	8	yes	complemented
81	C₂²×#540	C₂²	1	8	yes	complemented
82	C₂²×#540	C₂²	1	8	yes	complemented
83	C₂²×#544	C₂²	1	2	yes	complemented
84	C₂²×#535	C₂²	1	4	yes	complemented
85	C₂²×#539	C₂²	1	8	yes	complemented
86	C₂²×#538	C₂²	1	16	yes	complemented
87	C₂²×#538	C₂²	1	16	yes	complemented
88	C₂²×#538	C₂²	1	8	yes	complemented
89	C₂²×#543	C₂²	1	4	yes	complemented
90	C₂²×#534	C₂²	1	8	yes	complemented
91	C₂²×#533	C₂²	1	2	yes	complemented
92	C₂²×#532	C₂²	1	8	yes	complemented
93	C₂²×#532	C₂²	1	4	yes	complemented
94	C₂²×#532	C₂²	1	4	yes	complemented
95	C₂³×#127	C₂²	1	1	yes	characteristic, 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×#124	C₂²	1	4	yes	complemented
101	C₂²×#525	C₂²	1	4	yes	complemented
102	C₂²×#525	C₂²	1	16	yes	complemented
103	C₂²×#525	C₂²	1	16	yes	complemented
104	C₂²×#525	C₂²	1	8	yes	complemented
105	C₂³×#123	C₂²	1	8	yes	complemented
106	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	complemented
107	C₂³×#121	C₂²	1	2	yes	complemented
108	C₂³×#121	C₂²	1	2	yes	complemented
109	C₂³×#121	C₂²	1	4	yes	complemented
110	C₂³×#121	C₂²	1	8	yes	complemented
111	C₂³×#120	C₂²	1	4	yes	complemented
112	C₂³×#120	C₂²	1	8	yes	complemented
113	C₂×C₄×H(5,𝔽₂)	C₂²	1	96	yes	complemented
114	C₂²×#520	C₂²	1	2	yes	complemented
115	C₂²×#520	C₂²	1	4	yes	complemented
116	C₂²×#518	C₂²	1	1	yes	characteristic
117	C₂²×#518	C₂²	1	2	yes	—
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×#518	C₂²	1	8	yes	complemented
123	C₂²×#518	C₂²	1	4	yes	complemented
124	C₂²×#518	C₂²	1	192	yes	complemented
125	C₂²×C₄×#41	C₂²	1	2	yes	complemented
126	C₂²×C₄×#41	C₂²	1	4	yes	complemented
127	C₂²×C₄×#41	C₂²	1	4	yes	complemented
128	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
129	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
130	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
131	C₂³×C₄×D₄	C₂²	1	8	yes	complemented
132	C₂³×C₄×D₄	C₂²	1	8	yes	complemented
133	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
134	C₂³×C₄×D₄	C₂²	1	4	yes	complemented
135	C₂³×#117	C₂²	1	4	yes	complemented
136	C₂⁴×C₂²⋊C₄	C₂²	1	8	yes	complemented
137	C₂⁷	C₂³	1	4	yes	—
138	C₂²×H(5,𝔽₂)	—	2	32	no	—
139	C₂²×H(5,𝔽₂)	C₂³	1	48	yes	—
140	C₂³×#41	—	4	64	no	—
141	C₂³×#41	C₂³	1	4	yes	—
142	C₂³×#41	C₂³	1	2	yes	—
143	C₂³×#41	C₂³	1	4	yes	—
144	C₂³×#41	C₂³	1	16	yes	complemented
145	C₂³×#41	C₂³	1	8	yes	complemented
146	C₂³×#41	C₂³	1	8	yes	complemented
147	C₂³×#41	C₂³	1	192	yes	complemented
148	C₂⁴×Q₈	C₂³	1	4	yes	complemented
149	C₂⁴×D₄	—	2	64	no	—
150	C₂⁴×D₄	—	4	32	no	—
151	C₂⁴×D₄	C₂³	1	96	yes	—
152	C₂⁴×D₄	C₂³	1	8	yes	—
153	C₂⁴×D₄	C₂³	1	4	yes	—
154	C₂⁴×D₄	C₂³	1	2	yes	—
155	C₂⁴×D₄	C₂³	1	8	yes	—
156	C₂⁴×D₄	C₂³	1	1	yes	characteristic
157	C₂⁴×D₄	C₂³	1	4	yes	—
158	C₂⁴×D₄	C₂³	1	4	yes	—
159	C₂⁴×D₄	C₂³	1	4	yes	—
160	C₂⁴×D₄	C₂³	1	4	yes	—
161	C₂⁴×D₄	C₂³	1	8	yes	—
162	C₂⁴×D₄	C₂³	1	4	yes	—
163	C₂⁴×D₄	C₂³	1	2	yes	—
164	C₂⁴×D₄	C₂³	1	2	yes	—
165	C₂⁴×D₄	C₂³	1	1	yes	characteristic
166	C₂⁴×D₄	C₂³	1	96	yes	complemented
167	C₂⁴×D₄	C₂³	1	8	yes	complemented
168	C₂⁴×D₄	C₂³	1	8	yes	complemented
169	C₂⁵×C₄	C₂³	1	2	yes	—
170	C₂⁵×C₄	C₂³	1	2	yes	—
171	C₂⁵×C₄	C₂³	1	8	yes	complemented
172	C₂⁵×C₄	C₂³	1	4	yes	complemented
173	C₂⁵×C₄	C₂³	1	8	yes	complemented
174	#3519	C₂³	1	8192	yes	complemented
175	#3519	C₂³	1	4096	yes	complemented
176	#3514	C₂³	1	4096	yes	complemented
177	#3513	C₂³	1	8192	yes	complemented
178	#3508	C₂³	1	2048	yes	complemented
179	#3505	C₂³	1	4096	yes	complemented
180	#3501	C₂³	1	1024	yes	complemented
181	#3494	C₂³	1	4096	yes	complemented
182	#3490	C₂³	1	8192	yes	complemented
183	#3484	C₂³	1	2048	yes	complemented
184	#3481	C₂³	1	4096	yes	complemented
185	C₂×#559	C₂³	1	192	yes	complemented
186	C₂×#559	C₂³	1	192	yes	complemented
187	#3475	C₂³	1	2048	yes	complemented
188	C₂×#556	C₂³	1	96	yes	complemented
189	C₂×#555	C₂³	1	96	yes	complemented
190	C₂×#555	C₂³	1	384	yes	complemented
191	C₂×#554	C₂³	1	384	yes	complemented
192	C₂×#554	C₂³	1	192	yes	complemented
193	C₂×#554	C₂³	1	96	yes	complemented
194	C₂×#553	C₂³	1	192	yes	complemented
195	C₂×#553	C₂³	1	768	yes	complemented
196	C₂×#553	C₂³	1	384	yes	complemented
197	C₂×#553	C₂³	1	384	yes	complemented
198	C₂×#553	C₂³	1	384	yes	complemented
199	C₂×#552	C₂³	1	192	yes	complemented
200	C₂×#552	C₂³	1	192	yes	complemented
201	C₂×#551	C₂³	1	384	yes	complemented
202	C₂×#551	C₂³	1	768	yes	complemented
203	C₂×#551	C₂³	1	768	yes	complemented
204	C₂×#551	C₂³	1	768	yes	complemented
205	D₄×#41	C₂³	1	4096	yes	complemented
206	C₂×#550	C₂³	1	192	yes	complemented
207	C₂×#550	C₂³	1	192	yes	complemented
208	C₂×D₄×Q₈	C₂³	1	192	yes	complemented
209	C₂×#548	C₂³	1	384	yes	complemented
210	C₂×#547	C₂³	1	96	yes	complemented
211	C₂×#547	C₂³	1	384	yes	complemented
212	C₂×#546	C₂³	1	192	yes	complemented
213	C₂×#546	C₂³	1	384	yes	complemented
214	C₂×#546	C₂³	1	768	yes	complemented
215	C₂×#546	C₂³	1	384	yes	complemented
216	C₂×#546	C₂³	1	384	yes	complemented
217	C₂×#546	C₂³	1	384	yes	complemented
218	C₂×#546	C₂³	1	384	yes	complemented
219	C₂×#546	C₂³	1	768	yes	complemented
220	C₂×#546	C₂³	1	768	yes	complemented
221	C₂×#546	C₂³	1	768	yes	complemented
222	C₂×#546	C₂³	1	384	yes	complemented
223	C₂×#546	C₂³	1	4096	yes	complemented
224	C₂×D₄²	C₂³	1	384	yes	complemented
225	C₂×D₄²	C₂³	1	192	yes	complemented
226	C₂×D₄²	C₂³	1	192	yes	complemented
227	C₂×D₄²	C₂³	1	1024	yes	complemented
228	C₂×D₄²	C₂³	1	384	yes	complemented
229	C₂×D₄²	C₂³	1	384	yes	complemented
230	C₂×#544	C₂³	1	96	yes	complemented
231	C₂×#543	C₂³	1	192	yes	complemented
232	C₂×#542	C₂³	1	384	yes	complemented
233	C₂×#540	C₂³	1	384	yes	complemented
234	C₂×#540	C₂³	1	384	yes	complemented
235	C₂×#539	C₂³	1	384	yes	complemented
236	C₂×#538	C₂³	1	768	yes	complemented
237	C₂×#538	C₂³	1	768	yes	complemented
238	C₂×#538	C₂³	1	384	yes	complemented
239	C₂×#535	C₂³	1	192	yes	complemented
240	C₂×#534	C₂³	1	384	yes	complemented
241	C₂×#533	C₂³	1	96	yes	complemented
242	C₂×#532	C₂³	1	384	yes	complemented
243	C₂×#532	C₂³	1	192	yes	complemented
244	C₂×#532	C₂³	1	192	yes	complemented
245	C₂²×C₄⋊Q₈	C₂³	1	2	yes	complemented
246	C₂²×C₄⋊Q₈	C₂³	1	2	yes	complemented
247	C₂²×C₄⋊Q₈	C₂³	1	8	yes	complemented
248	C₂²×#127	C₂³	1	4	yes	—
249	C₂²×#127	C₂³	1	4	yes	—
250	C₂²×#127	C₂³	1	48	yes	complemented
251	C₂²×#127	C₂³	1	8	yes	complemented
252	C₂×#529	C₂³	1	384	yes	complemented
253	C₂×#529	C₂³	1	192	yes	complemented
254	C₂×#529	C₂³	1	384	yes	complemented
255	C₂×#529	C₂³	1	384	yes	complemented
256	C₂²×#126	C₂³	1	8	yes	complemented
257	C₂²×#126	C₂³	1	8	yes	complemented
258	C₂²×#126	C₂³	1	8	yes	complemented
259	C₂²×#126	C₂³	1	16	yes	complemented
260	C₂²×#126	C₂³	1	16	yes	complemented
261	C₂²×#125	C₂³	1	4	yes	complemented
262	C₂²×#125	C₂³	1	8	yes	complemented
263	C₂²×#125	C₂³	1	8	yes	complemented
264	C₂²×#125	C₂³	1	4	yes	complemented
265	C₂²×#124	C₂³	1	4	yes	—
266	C₂²×#124	C₂³	1	8	yes	complemented
267	C₂²×#124	C₂³	1	16	yes	complemented
268	C₂²×#124	C₂³	1	8	yes	complemented
269	C₂²×#124	C₂³	1	8	yes	complemented
270	C₂²×#124	C₂³	1	16	yes	complemented
271	C₂²×#124	C₂³	1	8	yes	complemented
272	C₂²×#124	C₂³	1	192	yes	complemented
273	C₂×#525	C₂³	1	192	yes	complemented
274	C₂×#525	C₂³	1	768	yes	complemented
275	C₂×#525	C₂³	1	768	yes	complemented
276	C₂×#525	C₂³	1	384	yes	complemented
277	C₂²×#123	C₂³	1	8	yes	—
278	C₂²×#123	C₂³	1	8	yes	—
279	C₂²×#123	C₂³	1	16	yes	complemented
280	C₂²×#123	C₂³	1	16	yes	complemented
281	C₂²×#123	C₂³	1	16	yes	complemented
282	C₂²×#123	C₂³	1	8	yes	complemented
283	C₂²×#123	C₂³	1	16	yes	complemented
284	C₂²×#123	C₂³	1	16	yes	complemented
285	C₂²×#123	C₂³	1	16	yes	complemented
286	C₂²×#123	C₂³	1	16	yes	complemented
287	C₂²×#123	C₂³	1	8	yes	complemented
288	C₂²×#123	C₂³	1	384	yes	complemented
289	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
290	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
291	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
292	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
293	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
294	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	complemented
295	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
296	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	complemented
297	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	complemented
298	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	complemented
299	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	complemented
300	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	complemented
301	C₂²×C₂²⋊Q₈	C₂³	1	192	yes	complemented
302	C₂²×#121	C₂³	1	8	yes	—
303	C₂²×#121	C₂³	1	4	yes	—
304	C₂²×#121	C₂³	1	8	yes	—
305	C₂²×#121	C₂³	1	8	yes	—
306	C₂²×#121	C₂³	1	8	yes	—
307	C₂²×#121	C₂³	1	8	yes	—
308	C₂²×#121	C₂³	1	96	yes	complemented
309	C₂²×#121	C₂³	1	96	yes	complemented
310	C₂²×#121	C₂³	1	16	yes	complemented
311	C₂²×#121	C₂³	1	8	yes	complemented
312	C₂²×#121	C₂³	1	16	yes	complemented
313	C₂²×#121	C₂³	1	16	yes	complemented
314	C₂²×#121	C₂³	1	16	yes	complemented
315	C₂²×#121	C₂³	1	4	yes	complemented
316	C₂²×#121	C₂³	1	16	yes	complemented
317	C₂²×#121	C₂³	1	16	yes	complemented
318	C₂²×#121	C₂³	1	16	yes	complemented
319	C₂²×#121	C₂³	1	4	yes	complemented
320	C₂²×#121	C₂³	1	8	yes	complemented
321	C₂²×#121	C₂³	1	8	yes	complemented
322	C₂²×#121	C₂³	1	8	yes	complemented
323	C₂²×#121	C₂³	1	192	yes	complemented
324	C₂²×#121	C₂³	1	384	yes	complemented
325	C₂²×#120	C₂³	1	8	yes	—
326	C₂²×#120	C₂³	1	16	yes	—
327	C₂²×#120	C₂³	1	16	yes	—
328	C₂²×#120	C₂³	1	16	yes	—
329	C₂²×#120	C₂³	1	192	yes	complemented
330	C₂²×#120	C₂³	1	16	yes	complemented
331	C₂²×#120	C₂³	1	16	yes	complemented
332	C₂²×#120	C₂³	1	16	yes	complemented
333	C₂²×#120	C₂³	1	384	yes	complemented
334	C₄×H(5,𝔽₂)	C₂³	1	1024	yes	complemented
335	C₂×#520	C₂³	1	96	yes	complemented
336	C₂×#520	C₂³	1	192	yes	complemented
337	C₂×#518	C₂³	1	96	yes	—
338	C₂×#518	C₂³	1	48	yes	—
339	C₂×#518	C₂³	1	384	yes	complemented
340	C₂×#518	C₂³	1	192	yes	complemented
341	C₂×#518	C₂³	1	192	yes	complemented
342	C₂×#518	C₂³	1	384	yes	complemented
343	C₂×#518	C₂³	1	192	yes	complemented
344	C₂×#518	C₂³	1	384	yes	complemented
345	C₂×#518	C₂³	1	2048	yes	complemented
346	C₂×C₄×#41	C₂³	1	96	yes	complemented
347	C₂×C₄×#41	C₂³	1	192	yes	complemented
348	C₂×C₄×#41	C₂³	1	192	yes	complemented
349	C₂²×C₄×Q₈	C₂³	1	2	yes	complemented
350	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
351	C₂²×C₄×Q₈	C₂³	1	2	yes	complemented
352	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
353	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
354	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
355	C₂²×C₄×D₄	C₂³	1	48	yes	—
356	C₂²×C₄×D₄	C₂³	1	4	yes	—
357	C₂²×C₄×D₄	C₂³	1	4	yes	—
358	C₂²×C₄×D₄	C₂³	1	4	yes	—
359	C₂²×C₄×D₄	C₂³	1	4	yes	—
360	C₂²×C₄×D₄	C₂³	1	4	yes	—
361	C₂²×C₄×D₄	C₂³	1	4	yes	—
362	C₂²×C₄×D₄	C₂³	1	2	yes	—
363	C₂²×C₄×D₄	C₂³	1	8	yes	—
364	C₂²×C₄×D₄	C₂³	1	8	yes	—
365	C₂²×C₄×D₄	C₂³	1	8	yes	—
366	C₂²×C₄×D₄	C₂³	1	4	yes	—
367	C₂²×C₄×D₄	C₂³	1	2	yes	—
368	C₂²×C₄×D₄	C₂³	1	4	yes	—
369	C₂²×C₄×D₄	C₂³	1	48	yes	complemented
370	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
371	C₂²×C₄×D₄	C₂³	1	2	yes	complemented
372	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
373	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
374	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
375	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
376	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
377	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
378	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
379	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
380	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
381	C₂²×C₄×D₄	C₂³	1	4	yes	complemented
382	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
383	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
384	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
385	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
386	C₂²×C₄×D₄	C₂³	1	2	yes	complemented
387	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
388	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
389	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
390	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
391	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
392	C₂²×C₄×D₄	C₂³	1	192	yes	complemented
393	C₂²×C₄×D₄	C₂³	1	384	yes	complemented
394	C₂²×C₄×D₄	C₂³	1	384	yes	complemented
395	C₂²×C₄×D₄	C₂³	1	192	yes	complemented
396	C₂²×C₄×D₄	C₂³	1	192	yes	complemented
397	C₂²×#117	C₂³	1	2	yes	—
398	C₂²×#117	C₂³	1	4	yes	—
399	C₂²×#117	C₂³	1	8	yes	—
400	C₂²×#117	C₂³	1	8	yes	complemented
401	C₂²×#117	C₂³	1	4	yes	complemented
402	C₂²×#117	C₂³	1	4	yes	complemented
403	C₂²×#117	C₂³	1	4	yes	complemented
404	C₂²×#117	C₂³	1	8	yes	complemented
405	C₂²×#117	C₂³	1	4	yes	complemented
406	C₂²×#117	C₂³	1	8	yes	complemented
407	C₂²×#117	C₂³	1	4	yes	complemented
408	C₂²×#117	C₂³	1	16	yes	complemented
409	C₂²×#117	C₂³	1	192	yes	complemented
410	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
413	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
414	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
415	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
416	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
417	C₂³×C₄⋊C₄	C₂³	1	8	yes	complemented
418	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
419	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
420	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
421	C₂³×C₂²⋊C₄	C₂³	1	16	yes	—
422	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
423	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
424	C₂³×C₂²⋊C₄	C₂³	1	4	yes	—
425	C₂³×C₂²⋊C₄	C₂³	1	384	yes	complemented
426	C₂³×C₂²⋊C₄	C₂³	1	16	yes	complemented
427	C₂³×C₂²⋊C₄	C₂³	1	8	yes	complemented
428	C₂³×C₂²⋊C₄	C₂³	1	8	yes	complemented
429	C₂³×C₂²⋊C₄	C₂³	1	16	yes	complemented
430	C₂³×C₂²⋊C₄	C₂³	1	4	yes	complemented
431	C₂³×C₂²⋊C₄	C₂³	1	8	yes	complemented
432	C₂³×C₂²⋊C₄	C₂³	1	8	yes	complemented
433	C₂³×C₂²⋊C₄	C₂³	1	8	yes	complemented
434	C₂³×C₄²	C₂³	1	1	yes	characteristic
435	C₂³×C₄²	C₂³	1	8	yes	complemented
436	C₂³×C₄²	C₂³	1	4	yes	complemented
437	C₂³×C₄²	C₂³	1	4	yes	complemented
438	C₂⁶	—	2	64	no	—
439	C₂⁶	—	4	32	no	—
440	C₂⁶	—	8	16	no	—
441	C₂⁶	C₂⁴	1	2	yes	—
442	C₂⁶	C₂⁴	1	8	yes	—
443	C₂⁶	C₂⁴	1	4	yes	—
444	C₂⁶	C₂⁴	1	4	yes	—
445	C₂⁶	C₂⁴	1	8	yes	—
446	C₂⁶	C₂⁴	1	96	yes	—
447	C₂⁶	C₂⁴	1	2	yes	—
448	C₂×H(5,𝔽₂)	—	2	768	no	—
449	C₂×H(5,𝔽₂)	C₂⁴	1	256	yes	—
450	C₂²×#41	—	2	64	no	—
451	C₂²×#41	—	2	64	no	—
452	C₂²×#41	—	2	32	no	—
453	C₂²×#41	—	4	128	no	—
454	C₂²×#41	—	4	64	no	—
455	C₂²×#41	—	4	1536	no	—
456	C₂²×#41	—	8	32	no	—
457	C₂²×#41	C₂⁴	1	96	yes	—
458	C₂²×#41	C₂⁴	1	48	yes	—
459	C₂²×#41	C₂⁴	1	96	yes	—
460	C₂²×#41	C₂⁴	1	384	yes	complemented
461	C₂²×#41	C₂⁴	1	192	yes	complemented
462	C₂²×#41	C₂⁴	1	192	yes	complemented
463	C₂²×#41	C₂⁴	1	1024	yes	complemented
464	C₂³×Q₈	—	4	32	no	—
465	C₂³×Q₈	C₂⁴	1	4	yes	—
466	C₂³×Q₈	C₂⁴	1	2	yes	—
467	C₂³×Q₈	C₂⁴	1	8	yes	—
468	C₂³×Q₈	C₂⁴	1	4	yes	—
469	C₂³×Q₈	C₂⁴	1	96	yes	complemented
470	C₂³×D₄	—	2	64	no	—
471	C₂³×D₄	—	2	64	no	—
472	C₂³×D₄	—	2	128	no	—
473	C₂³×D₄	—	2	128	no	—
474	C₂³×D₄	—	2	1536	no	—
475	C₂³×D₄	—	2	64	no	—
476	C₂³×D₄	—	2	16	no	—
477	C₂³×D₄	—	2	64	no	—
478	C₂³×D₄	—	2	32	no	—
479	C₂³×D₄	—	4	16	no	—
480	C₂³×D₄	—	4	32	no	—
481	C₂³×D₄	—	4	768	no	—
482	C₂³×D₄	—	4	64	no	—
483	C₂³×D₄	—	4	32	no	—
484	C₂³×D₄	—	4	64	no	—
485	C₂³×D₄	—	8	8	no	—
486	C₂³×D₄	—	8	32	no	—
487	C₂³×D₄	#41	1	32	yes	complemented
488	C₂³×D₄	C₂⁴	1	2	yes	—
489	C₂³×D₄	C₂⁴	1	1	yes	characteristic
490	C₂³×D₄	C₂⁴	1	8	yes	—
491	C₂³×D₄	C₂⁴	1	4	yes	—
492	C₂³×D₄	C₂⁴	1	16	yes	—
493	C₂³×D₄	C₂⁴	1	8	yes	—
494	C₂³×D₄	C₂⁴	1	192	yes	—
495	C₂³×D₄	C₂⁴	1	96	yes	—
496	C₂³×D₄	C₂⁴	1	48	yes	—
497	C₂³×D₄	C₂⁴	1	192	yes	—
498	C₂³×D₄	C₂⁴	1	512	yes	—
499	C₂³×D₄	C₂⁴	1	4	yes	—
500	C₂³×D₄	C₂⁴	1	8	yes	—
501	C₂³×D₄	C₂⁴	1	2	yes	—
502	C₂³×D₄	C₂⁴	1	24	yes	—
503	C₂³×D₄	C₂⁴	1	96	yes	—
504	C₂³×D₄	C₂⁴	1	96	yes	—
505	C₂³×D₄	C₂⁴	1	96	yes	—
506	C₂³×D₄	C₂⁴	1	8	yes	—
507	C₂³×D₄	C₂⁴	1	8	yes	—
508	C₂³×D₄	C₂⁴	1	4	yes	—
509	C₂³×D₄	C₂⁴	1	96	yes	—
510	C₂³×D₄	C₂⁴	1	192	yes	—
511	C₂³×D₄	C₂⁴	1	96	yes	—
512	C₂³×D₄	C₂⁴	1	48	yes	—
513	C₂³×D₄	C₂⁴	1	8	yes	—
514	C₂³×D₄	C₂⁴	1	8	yes	—
515	C₂³×D₄	C₂⁴	1	16	yes	—
516	C₂³×D₄	C₂⁴	1	16	yes	—
517	C₂³×D₄	C₂⁴	1	48	yes	—
518	C₂³×D₄	C₂⁴	1	4	yes	—
519	C₂³×D₄	C₂⁴	1	24	yes	—
520	C₂³×D₄	C₂⁴	1	1	yes	characteristic
521	C₂³×D₄	C₂⁴	1	512	yes	complemented
522	C₂³×D₄	C₂⁴	1	192	yes	complemented
523	C₂³×D₄	C₂⁴	1	192	yes	complemented
524	C₂⁴×C₄	—	2	32	no	—
525	C₂⁴×C₄	—	4	16	no	—
526	C₂⁴×C₄	—	4	32	no	—
527	C₂⁴×C₄	—	4	64	no	—
528	C₂⁴×C₄	—	8	32	no	—
529	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
530	C₂⁴×C₄	C₂⁴	1	4	yes	—
531	C₂⁴×C₄	C₂⁴	1	4	yes	—
532	C₂⁴×C₄	C₂⁴	1	2	yes	—
533	C₂⁴×C₄	C₂⁴	1	4	yes	—
534	C₂⁴×C₄	C₂⁴	1	48	yes	—
535	C₂⁴×C₄	C₂⁴	1	8	yes	—
536	C₂⁴×C₄	C₂⁴	1	4	yes	—
537	C₂⁴×C₄	C₂⁴	1	4	yes	—
538	C₂⁴×C₄	C₂⁴	1	4	yes	—
539	C₂⁴×C₄	C₂⁴	1	2	yes	—
540	C₂⁴×C₄	C₂⁴	1	4	yes	—
541	C₂⁴×C₄	C₂⁴	1	48	yes	—
542	C₂⁴×C₄	C₂⁴	1	4	yes	—
543	C₂⁴×C₄	C₂⁴	1	4	yes	—
544	C₂⁴×C₄	C₂⁴	1	8	yes	—
545	C₂⁴×C₄	C₂⁴	1	8	yes	—
546	C₂⁴×C₄	C₂⁴	1	8	yes	—
547	C₂⁴×C₄	C₂⁴	1	16	yes	—
548	C₂⁴×C₄	C₂⁴	1	8	yes	—
549	C₂⁴×C₄	C₂⁴	1	16	yes	—
550	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
551	C₂⁴×C₄	C₂⁴	1	4	yes	—
552	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₄	C₂⁴	1	192	yes	complemented
554	C₂⁴×C₄	C₂⁴	1	96	yes	complemented
555	C₂⁴×C₄	C₂⁴	1	192	yes	complemented
556	#559	C₂⁴	1	1024	yes	complemented
557	#559	C₂⁴	1	1024	yes	complemented
558	#556	C₂⁴	1	512	yes	complemented
559	#555	C₂⁴	1	512	yes	complemented
560	#555	C₂⁴	1	2048	yes	complemented
561	#554	C₂⁴	1	512	yes	complemented
562	#554	C₂⁴	1	1024	yes	complemented
563	#554	C₂⁴	1	2048	yes	complemented
564	#553	C₂⁴	1	1024	yes	complemented
565	#553	C₂⁴	1	2048	yes	complemented
566	#553	C₂⁴	1	2048	yes	complemented
567	#553	C₂⁴	1	2048	yes	complemented
568	#553	C₂⁴	1	4096	yes	complemented
569	#552	C₂⁴	1	1024	yes	complemented
570	#552	C₂⁴	1	1024	yes	complemented
571	#551	C₂⁴	1	2048	yes	complemented
572	#551	C₂⁴	1	4096	yes	complemented
573	#551	C₂⁴	1	4096	yes	complemented
574	#551	C₂⁴	1	4096	yes	complemented
575	#550	C₂⁴	1	1024	yes	complemented
576	#550	C₂⁴	1	1024	yes	complemented
577	D₄×Q₈	C₂⁴	1	1024	yes	complemented
578	#548	C₂⁴	1	2048	yes	complemented
579	#547	C₂⁴	1	512	yes	complemented
580	#547	C₂⁴	1	2048	yes	complemented
581	#546	C₂⁴	1	1024	yes	complemented
582	#546	C₂⁴	1	4096	yes	complemented
583	#546	C₂⁴	1	2048	yes	complemented
584	#546	C₂⁴	1	2048	yes	complemented
585	#546	C₂⁴	1	2048	yes	complemented
586	#546	C₂⁴	1	2048	yes	complemented
587	#546	C₂⁴	1	2048	yes	complemented
588	#546	C₂⁴	1	4096	yes	complemented
589	#546	C₂⁴	1	4096	yes	complemented
590	#546	C₂⁴	1	4096	yes	complemented
591	#546	C₂⁴	1	2048	yes	complemented
592	D₄²	C₂⁴	1	1024	yes	complemented
593	D₄²	C₂⁴	1	2048	yes	complemented
594	D₄²	C₂⁴	1	1024	yes	complemented
595	D₄²	C₂⁴	1	2048	yes	complemented
596	D₄²	C₂⁴	1	2048	yes	complemented
597	#544	C₂⁴	1	512	yes	complemented
598	#543	C₂⁴	1	1024	yes	complemented
599	#542	C₂⁴	1	2048	yes	complemented
600	#540	C₂⁴	1	2048	yes	complemented
601	#540	C₂⁴	1	2048	yes	complemented
602	#539	C₂⁴	1	2048	yes	complemented
603	#538	C₂⁴	1	4096	yes	complemented
604	#538	C₂⁴	1	4096	yes	complemented
605	#538	C₂⁴	1	2048	yes	complemented
606	#535	C₂⁴	1	1024	yes	complemented
607	#534	C₂⁴	1	2048	yes	complemented
608	#533	C₂⁴	1	512	yes	complemented
609	#532	C₂⁴	1	2048	yes	complemented
610	#532	C₂⁴	1	1024	yes	complemented
611	#532	C₂⁴	1	1024	yes	complemented
612	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	complemented
613	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	complemented
614	C₂×C₄⋊Q₈	C₂⁴	1	192	yes	complemented
615	C₂×#127	C₂⁴	1	96	yes	—
616	C₂×#127	C₂⁴	1	96	yes	—
617	C₂×#127	C₂⁴	1	256	yes	complemented
618	C₂×#127	C₂⁴	1	192	yes	complemented
619	#529	C₂⁴	1	2048	yes	complemented
620	#529	C₂⁴	1	1024	yes	complemented
621	#529	C₂⁴	1	2048	yes	complemented
622	#529	C₂⁴	1	2048	yes	complemented
623	C₂×#126	C₂⁴	1	192	yes	complemented
624	C₂×#126	C₂⁴	1	192	yes	complemented
625	C₂×#126	C₂⁴	1	192	yes	complemented
626	C₂×#126	C₂⁴	1	384	yes	complemented
627	C₂×#126	C₂⁴	1	384	yes	complemented
628	C₂×#125	C₂⁴	1	96	yes	complemented
629	C₂×#125	C₂⁴	1	192	yes	complemented
630	C₂×#125	C₂⁴	1	192	yes	complemented
631	C₂×#125	C₂⁴	1	96	yes	complemented
632	C₂×#124	C₂⁴	1	96	yes	—
633	C₂×#124	C₂⁴	1	192	yes	complemented
634	C₂×#124	C₂⁴	1	384	yes	complemented
635	C₂×#124	C₂⁴	1	192	yes	complemented
636	C₂×#124	C₂⁴	1	192	yes	complemented
637	C₂×#124	C₂⁴	1	384	yes	complemented
638	C₂×#124	C₂⁴	1	192	yes	complemented
639	C₂×#124	C₂⁴	1	1024	yes	complemented
640	#525	C₂⁴	1	1024	yes	complemented
641	#525	C₂⁴	1	4096	yes	complemented
642	#525	C₂⁴	1	4096	yes	complemented
643	#525	C₂⁴	1	2048	yes	complemented
644	C₂×#123	C₂⁴	1	192	yes	—
645	C₂×#123	C₂⁴	1	192	yes	—
646	C₂×#123	C₂⁴	1	384	yes	complemented
647	C₂×#123	C₂⁴	1	384	yes	complemented
648	C₂×#123	C₂⁴	1	384	yes	complemented
649	C₂×#123	C₂⁴	1	192	yes	complemented
650	C₂×#123	C₂⁴	1	384	yes	complemented
651	C₂×#123	C₂⁴	1	384	yes	complemented
652	C₂×#123	C₂⁴	1	384	yes	complemented
653	C₂×#123	C₂⁴	1	384	yes	complemented
654	C₂×#123	C₂⁴	1	192	yes	complemented
655	C₂×#123	C₂⁴	1	2048	yes	complemented
656	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
657	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
658	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
659	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
660	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
661	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	complemented
662	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
663	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	complemented
664	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	complemented
665	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	complemented
666	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	complemented
667	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	complemented
668	C₂×C₂²⋊Q₈	C₂⁴	1	1024	yes	complemented
669	C₂×#121	C₂⁴	1	192	yes	—
670	C₂×#121	C₂⁴	1	96	yes	—
671	C₂×#121	C₂⁴	1	192	yes	—
672	C₂×#121	C₂⁴	1	192	yes	—
673	C₂×#121	C₂⁴	1	192	yes	—
674	C₂×#121	C₂⁴	1	192	yes	—
675	C₂×#121	C₂⁴	1	512	yes	complemented
676	C₂×#121	C₂⁴	1	512	yes	complemented
677	C₂×#121	C₂⁴	1	384	yes	complemented
678	C₂×#121	C₂⁴	1	192	yes	complemented
679	C₂×#121	C₂⁴	1	384	yes	complemented
680	C₂×#121	C₂⁴	1	384	yes	complemented
681	C₂×#121	C₂⁴	1	384	yes	complemented
682	C₂×#121	C₂⁴	1	96	yes	complemented
683	C₂×#121	C₂⁴	1	384	yes	complemented
684	C₂×#121	C₂⁴	1	384	yes	complemented
685	C₂×#121	C₂⁴	1	384	yes	complemented
686	C₂×#121	C₂⁴	1	96	yes	complemented
687	C₂×#121	C₂⁴	1	192	yes	complemented
688	C₂×#121	C₂⁴	1	192	yes	complemented
689	C₂×#121	C₂⁴	1	192	yes	complemented
690	C₂×#121	C₂⁴	1	1024	yes	complemented
691	C₂×#121	C₂⁴	1	2048	yes	complemented
692	C₂×#120	C₂⁴	1	192	yes	—
693	C₂×#120	C₂⁴	1	384	yes	—
694	C₂×#120	C₂⁴	1	384	yes	—
695	C₂×#120	C₂⁴	1	384	yes	—
696	C₂×#120	C₂⁴	1	1024	yes	complemented
697	C₂×#120	C₂⁴	1	384	yes	complemented
698	C₂×#120	C₂⁴	1	384	yes	complemented
699	C₂×#120	C₂⁴	1	384	yes	complemented
700	C₂×#120	C₂⁴	1	2048	yes	complemented
701	#520	C₂⁴	1	512	yes	complemented
702	#520	C₂⁴	1	1024	yes	complemented
703	#518	C₂⁴	1	256	yes	—
704	#518	C₂⁴	1	512	yes	—
705	#518	C₂⁴	1	2048	yes	complemented
706	#518	C₂⁴	1	1024	yes	complemented
707	#518	C₂⁴	1	1024	yes	complemented
708	#518	C₂⁴	1	2048	yes	complemented
709	#518	C₂⁴	1	2048	yes	complemented
710	#518	C₂⁴	1	1024	yes	complemented
711	C₄×#41	C₂⁴	1	512	yes	complemented
712	C₄×#41	C₂⁴	1	1024	yes	complemented
713	C₄×#41	C₂⁴	1	1024	yes	complemented
714	C₂×C₄×Q₈	C₂⁴	1	48	yes	complemented
715	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
716	C₂×C₄×Q₈	C₂⁴	1	48	yes	complemented
717	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
718	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
719	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
720	C₂×C₄×D₄	C₂⁴	1	96	yes	—
721	C₂×C₄×D₄	C₂⁴	1	96	yes	—
722	C₂×C₄×D₄	C₂⁴	1	256	yes	—
723	C₂×C₄×D₄	C₂⁴	1	96	yes	—
724	C₂×C₄×D₄	C₂⁴	1	96	yes	—
725	C₂×C₄×D₄	C₂⁴	1	96	yes	—
726	C₂×C₄×D₄	C₂⁴	1	96	yes	—
727	C₂×C₄×D₄	C₂⁴	1	48	yes	—
728	C₂×C₄×D₄	C₂⁴	1	192	yes	—
729	C₂×C₄×D₄	C₂⁴	1	192	yes	—
730	C₂×C₄×D₄	C₂⁴	1	192	yes	—
731	C₂×C₄×D₄	C₂⁴	1	96	yes	—
732	C₂×C₄×D₄	C₂⁴	1	48	yes	—
733	C₂×C₄×D₄	C₂⁴	1	96	yes	—
734	C₂×C₄×D₄	C₂⁴	1	256	yes	complemented
735	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
736	C₂×C₄×D₄	C₂⁴	1	48	yes	complemented
737	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
738	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
739	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
740	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
741	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
742	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
743	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
744	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
745	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
746	C₂×C₄×D₄	C₂⁴	1	96	yes	complemented
747	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
748	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
749	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
750	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
751	C₂×C₄×D₄	C₂⁴	1	48	yes	complemented
752	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
753	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
754	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
755	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
756	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
757	C₂×C₄×D₄	C₂⁴	1	1024	yes	complemented
758	C₂×C₄×D₄	C₂⁴	1	2048	yes	complemented
759	C₂×C₄×D₄	C₂⁴	1	2048	yes	complemented
760	C₂×C₄×D₄	C₂⁴	1	1024	yes	complemented
761	C₂×C₄×D₄	C₂⁴	1	1024	yes	complemented
762	C₂×#117	C₂⁴	1	48	yes	—
763	C₂×#117	C₂⁴	1	96	yes	—
764	C₂×#117	C₂⁴	1	192	yes	—
765	C₂×#117	C₂⁴	1	192	yes	complemented
766	C₂×#117	C₂⁴	1	96	yes	complemented
767	C₂×#117	C₂⁴	1	96	yes	complemented
768	C₂×#117	C₂⁴	1	96	yes	complemented
769	C₂×#117	C₂⁴	1	192	yes	complemented
770	C₂×#117	C₂⁴	1	96	yes	complemented
771	C₂×#117	C₂⁴	1	192	yes	complemented
772	C₂×#117	C₂⁴	1	96	yes	complemented
773	C₂×#117	C₂⁴	1	384	yes	complemented
774	C₂×#117	C₂⁴	1	1024	yes	complemented
775	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
777	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
778	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
779	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
780	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
781	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
782	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
784	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
786	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
789	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
790	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
791	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
792	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
793	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
794	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
795	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
796	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
798	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
799	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
800	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
801	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
802	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	complemented
803	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
805	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
806	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
807	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
808	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
809	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
810	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
811	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
812	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
813	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
814	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	—
815	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
816	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
817	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
818	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
819	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
821	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	—
822	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
823	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
824	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
825	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
826	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
827	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
828	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
829	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
830	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
831	C₂²×C₂²⋊C₄	C₂⁴	1	2048	yes	complemented
832	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	complemented
833	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	complemented
834	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	complemented
835	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	complemented
836	C₂²×C₂²⋊C₄	C₂⁴	1	96	yes	complemented
837	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	complemented
838	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	complemented
839	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	complemented
840	C₂²×C₄²	C₂⁴	1	2	yes	—
841	C₂²×C₄²	C₂⁴	1	2	yes	—
842	C₂²×C₄²	C₂⁴	1	24	yes	—
843	C₂²×C₄²	C₂⁴	1	4	yes	—
844	C₂²×C₄²	C₂⁴	1	4	yes	—
845	C₂²×C₄²	C₂⁴	1	8	yes	—
846	C₂²×C₄²	C₂⁴	1	8	yes	—
847	C₂²×C₄²	C₂⁴	1	8	yes	—
848	C₂²×C₄²	C₂⁴	1	8	yes	—
849	C₂²×C₄²	C₂⁴	1	4	yes	—
850	C₂²×C₄²	C₂⁴	1	192	yes	complemented
851	C₂²×C₄²	C₂⁴	1	96	yes	complemented
852	C₂²×C₄²	C₂⁴	1	96	yes	complemented
853	C₂⁵	—	2	16	no	—
854	C₂⁵	—	2	64	no	—
855	C₂⁵	—	2	64	no	—
856	C₂⁵	—	2	16	no	—
857	C₂⁵	—	2	32	no	—
858	C₂⁵	—	2	64	no	—
859	C₂⁵	—	2	32	no	—
860	C₂⁵	—	2	768	no	—
861	C₂⁵	—	4	8	no	—
862	C₂⁵	—	4	32	no	—
863	C₂⁵	—	4	8	no	—
864	C₂⁵	—	4	8	no	—
865	C₂⁵	—	4	16	no	—
866	C₂⁵	—	4	32	no	—
867	C₂⁵	—	4	16	no	—
868	C₂⁵	—	4	384	no	—
869	C₂⁵	—	4	16	no	—
870	C₂⁵	—	4	32	no	—
871	C₂⁵	—	4	16	no	—
872	C₂⁵	—	8	192	no	—
873	C₂⁵	—	8	512	no	—
874	C₂⁵	C₂×#41	1	32	yes	complemented
875	C₂⁵	C₂⁵	1	2	yes	—
876	C₂⁵	C₂⁵	1	8	yes	—
877	C₂⁵	C₂⁵	1	4	yes	—
878	C₂⁵	C₂⁵	1	24	yes	—
879	C₂⁵	C₂⁵	1	96	yes	—
880	C₂⁵	C₂⁵	1	1	yes	characteristic
881	C₂⁵	C₂⁵	1	4	yes	—
882	C₂⁵	C₂⁵	1	2	yes	—
883	C₂⁵	C₂⁵	1	48	yes	—
884	C₂⁵	C₂⁵	1	96	yes	—
885	C₂⁵	C₂⁵	1	48	yes	—
886	C₂⁵	C₂⁵	1	256	yes	—
887	C₂⁵	C₂⁵	1	24	yes	—
888	H(5,𝔽₂)	—	2	2048	no	—
889	C₂×#41	—	2	768	no	—
890	C₂×#41	—	2	768	no	—
891	C₂×#41	—	2	384	no	—
892	C₂×#41	—	4	1536	no	—
893	C₂×#41	—	4	768	no	—
894	C₂×#41	—	4	4096	no	—
895	C₂×#41	—	8	384	no	—
896	C₂×#41	C₂⁵	1	128	yes	—
897	C₂×#41	C₂⁵	1	256	yes	—
898	C₂×#41	C₂⁵	1	256	yes	—
899	C₂×#41	C₂⁵	1	1024	yes	complemented
900	C₂×#41	C₂⁵	1	512	yes	complemented
901	C₂×#41	C₂⁵	1	512	yes	complemented
902	C₂²×Q₈	—	2	16	no	—
903	C₂²×Q₈	—	2	32	no	—
904	C₂²×Q₈	—	4	32	no	—
905	C₂²×Q₈	—	4	16	no	—
906	C₂²×Q₈	—	4	384	no	—
907	C₂²×Q₈	C₂⁵	1	24	yes	—
908	C₂²×Q₈	C₂⁵	1	48	yes	—
909	C₂²×Q₈	C₂⁵	1	48	yes	—
910	C₂²×Q₈	C₂⁵	1	96	yes	—
911	C₂²×Q₈	C₂⁵	1	256	yes	complemented
912	C₂²×D₄	—	2	128	no	—
913	C₂²×D₄	—	2	32	no	—
914	C₂²×D₄	—	2	64	no	—
915	C₂²×D₄	—	2	768	no	—
916	C₂²×D₄	—	2	768	no	—
917	C₂²×D₄	—	2	16	no	—
918	C₂²×D₄	—	2	64	no	—
919	C₂²×D₄	—	2	64	no	—
920	C₂²×D₄	—	2	1536	no	—
921	C₂²×D₄	—	2	1536	no	—
922	C₂²×D₄	—	2	4096	no	—
923	C₂²×D₄	—	2	768	no	—
924	C₂²×D₄	—	2	192	no	—
925	C₂²×D₄	—	2	768	no	—
926	C₂²×D₄	—	2	64	no	—
927	C₂²×D₄	—	2	16	no	—
928	C₂²×D₄	—	2	384	no	—
929	C₂²×D₄	—	2	8	no	—
930	C₂²×D₄	—	2	32	no	—
931	C₂²×D₄	—	4	192	no	—
932	C₂²×D₄	—	4	384	no	—
933	C₂²×D₄	—	4	16	no	—
934	C₂²×D₄	—	4	32	no	—
935	C₂²×D₄	—	4	64	no	—
936	C₂²×D₄	—	4	32	no	—
937	C₂²×D₄	—	4	64	no	—
938	C₂²×D₄	—	4	32	no	—
939	C₂²×D₄	—	4	2048	no	—
940	C₂²×D₄	—	4	768	no	—
941	C₂²×D₄	—	4	384	no	—
942	C₂²×D₄	—	4	768	no	—
943	C₂²×D₄	—	8	96	no	—
944	C₂²×D₄	—	8	384	no	—
945	C₂²×D₄	C₂×#41	1	64	yes	complemented
946	C₂²×D₄	C₂×#41	1	384	yes	complemented
947	C₂²×D₄	H(5,𝔽₂)	1	16	yes	complemented
948	C₂²×D₄	C₂⁵	1	48	yes	—
949	C₂²×D₄	C₂⁵	1	24	yes	—
950	C₂²×D₄	C₂⁵	1	12	yes	—
951	C₂²×D₄	C₂⁵	1	192	yes	—
952	C₂²×D₄	C₂⁵	1	96	yes	—
953	C₂²×D₄	C₂⁵	1	96	yes	—
954	C₂²×D₄	C₂⁵	1	24	yes	—
955	C₂²×D₄	C₂⁵	1	512	yes	—
956	C₂²×D₄	C₂⁵	1	256	yes	—
957	C₂²×D₄	C₂⁵	1	256	yes	—
958	C₂²×D₄	C₂⁵	1	96	yes	—
959	C₂²×D₄	C₂⁵	1	96	yes	—
960	C₂²×D₄	C₂⁵	1	48	yes	—
961	C₂²×D₄	C₂⁵	1	256	yes	—
962	C₂²×D₄	C₂⁵	1	64	yes	—
963	C₂²×D₄	C₂⁵	1	256	yes	—
964	C₂²×D₄	C₂⁵	1	128	yes	—
965	C₂²×D₄	C₂⁵	1	512	yes	—
966	C₂²×D₄	C₂⁵	1	96	yes	—
967	C₂²×D₄	C₂⁵	1	96	yes	—
968	C₂²×D₄	C₂⁵	1	192	yes	—
969	C₂²×D₄	C₂⁵	1	96	yes	—
970	C₂²×D₄	C₂⁵	1	192	yes	—
971	C₂²×D₄	C₂⁵	1	256	yes	—
972	C₂²×D₄	C₂⁵	1	48	yes	—
973	C₂²×D₄	C₂⁵	1	512	yes	—
974	C₂²×D₄	C₂⁵	1	256	yes	—
975	C₂²×D₄	C₂⁵	1	128	yes	—
976	C₂²×D₄	C₂⁵	1	128	yes	—
977	C₂²×D₄	C₂⁵	1	48	yes	—
978	C₂²×D₄	C₂⁵	1	64	yes	—
979	C₂²×D₄	C₂⁵	1	12	yes	—
980	C₂²×D₄	C₂⁵	1	512	yes	complemented
981	C₂²×D₄	C₂⁵	1	512	yes	complemented
982	C₂³×C₄	—	2	16	no	—
983	C₂³×C₄	—	2	32	no	—
984	C₂³×C₄	—	2	64	no	—
985	C₂³×C₄	—	2	32	no	—
986	C₂³×C₄	—	2	32	no	—
987	C₂³×C₄	—	2	32	no	—
988	C₂³×C₄	—	2	384	no	—
989	C₂³×C₄	—	2	8	no	—
990	C₂³×C₄	—	2	32	no	—
991	C₂³×C₄	—	2	32	no	—
992	C₂³×C₄	—	4	192	no	—
993	C₂³×C₄	—	4	384	no	—
994	C₂³×C₄	—	4	16	no	—
995	C₂³×C₄	—	4	16	no	—
996	C₂³×C₄	—	4	8	no	—
997	C₂³×C₄	—	4	32	no	—
998	C₂³×C₄	—	4	32	no	—
999	C₂³×C₄	—	4	64	no	—
1000	C₂³×C₄	—	4	768	no	—
1001	C₂³×C₄	—	4	16	no	—
1002	C₂³×C₄	—	4	32	no	—
1003	C₂³×C₄	—	4	32	no	—
1004	C₂³×C₄	—	4	64	no	—
1005	C₂³×C₄	—	4	4	no	—
1006	C₂³×C₄	—	4	16	no	—
1007	C₂³×C₄	—	8	384	no	—
1008	C₂³×C₄	C₂×#41	1	16	yes	complemented
1009	C₂³×C₄	C₂⁵	1	24	yes	—
1010	C₂³×C₄	C₂⁵	1	96	yes	—
1011	C₂³×C₄	C₂⁵	1	48	yes	—
1012	C₂³×C₄	C₂⁵	1	12	yes	—
1013	C₂³×C₄	C₂⁵	1	48	yes	—
1014	C₂³×C₄	C₂⁵	1	48	yes	—
1015	C₂³×C₄	C₂⁵	1	48	yes	—
1016	C₂³×C₄	C₂⁵	1	48	yes	—
1017	C₂³×C₄	C₂⁵	1	128	yes	—
1018	C₂³×C₄	C₂⁵	1	48	yes	—
1019	C₂³×C₄	C₂⁵	1	4	yes	—
1020	C₂³×C₄	C₂⁵	1	4	yes	—
1021	C₂³×C₄	C₂⁵	1	8	yes	—
1022	C₂³×C₄	C₂⁵	1	4	yes	—
1023	C₂³×C₄	C₂⁵	1	8	yes	—
1024	C₂³×C₄	C₂⁵	1	2	yes	—
1025	C₂³×C₄	C₂⁵	1	4	yes	—
1026	C₂³×C₄	C₂⁵	1	4	yes	—
1027	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1028	C₂³×C₄	C₂⁵	1	12	yes	—
1029	C₂³×C₄	C₂⁵	1	24	yes	—
1030	C₂³×C₄	C₂⁵	1	48	yes	—
1031	C₂³×C₄	C₂⁵	1	96	yes	—
1032	C₂³×C₄	C₂⁵	1	48	yes	—
1033	C₂³×C₄	C₂⁵	1	96	yes	—
1034	C₂³×C₄	C₂⁵	1	96	yes	—
1035	C₂³×C₄	C₂⁵	1	192	yes	—
1036	C₂³×C₄	C₂⁵	1	192	yes	—
1037	C₂³×C₄	C₂⁵	1	48	yes	—
1038	C₂³×C₄	C₂⁵	1	48	yes	—
1039	C₂³×C₄	C₂⁵	1	96	yes	—
1040	C₂³×C₄	C₂⁵	1	128	yes	—
1041	C₂³×C₄	C₂⁵	1	2	yes	—
1042	C₂³×C₄	C₂⁵	1	12	yes	—
1043	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1044	C₂³×C₄	C₂⁵	1	512	yes	complemented
1045	C₂³×C₄	C₂⁵	1	256	yes	complemented
1046	C₂³×C₄	C₂⁵	1	512	yes	complemented
1047	C₄⋊Q₈	C₂⁵	1	128	yes	complemented
1048	C₄⋊Q₈	C₂⁵	1	128	yes	complemented
1049	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
1050	#127	C₂⁵	1	256	yes	—
1051	#127	C₂⁵	1	256	yes	—
1052	#127	C₂⁵	1	512	yes	complemented
1053	#126	C₂⁵	1	512	yes	complemented
1054	#126	C₂⁵	1	512	yes	complemented
1055	#126	C₂⁵	1	512	yes	complemented
1056	#126	C₂⁵	1	1024	yes	complemented
1057	#126	C₂⁵	1	1024	yes	complemented
1058	#125	C₂⁵	1	256	yes	complemented
1059	#125	C₂⁵	1	512	yes	complemented
1060	#125	C₂⁵	1	512	yes	complemented
1061	#125	C₂⁵	1	256	yes	complemented
1062	#124	C₂⁵	1	256	yes	—
1063	#124	C₂⁵	1	512	yes	complemented
1064	#124	C₂⁵	1	1024	yes	complemented
1065	#124	C₂⁵	1	512	yes	complemented
1066	#124	C₂⁵	1	512	yes	complemented
1067	#124	C₂⁵	1	1024	yes	complemented
1068	#124	C₂⁵	1	512	yes	complemented
1069	#123	C₂⁵	1	512	yes	—
1070	#123	C₂⁵	1	512	yes	—
1071	#123	C₂⁵	1	1024	yes	complemented
1072	#123	C₂⁵	1	1024	yes	complemented
1073	#123	C₂⁵	1	1024	yes	complemented
1074	#123	C₂⁵	1	512	yes	complemented
1075	#123	C₂⁵	1	1024	yes	complemented
1076	#123	C₂⁵	1	1024	yes	complemented
1077	#123	C₂⁵	1	1024	yes	complemented
1078	#123	C₂⁵	1	1024	yes	complemented
1079	#123	C₂⁵	1	512	yes	complemented
1080	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1081	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1082	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1083	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1084	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1085	C₂²⋊Q₈	C₂⁵	1	256	yes	complemented
1086	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1087	C₂²⋊Q₈	C₂⁵	1	256	yes	complemented
1088	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
1089	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
1090	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
1091	C₂²⋊Q₈	C₂⁵	1	256	yes	complemented
1092	#121	C₂⁵	1	512	yes	—
1093	#121	C₂⁵	1	256	yes	—
1094	#121	C₂⁵	1	512	yes	—
1095	#121	C₂⁵	1	512	yes	—
1096	#121	C₂⁵	1	512	yes	—
1097	#121	C₂⁵	1	512	yes	—
1098	#121	C₂⁵	1	1024	yes	complemented
1099	#121	C₂⁵	1	512	yes	complemented
1100	#121	C₂⁵	1	1024	yes	complemented
1101	#121	C₂⁵	1	1024	yes	complemented
1102	#121	C₂⁵	1	1024	yes	complemented
1103	#121	C₂⁵	1	256	yes	complemented
1104	#121	C₂⁵	1	1024	yes	complemented
1105	#121	C₂⁵	1	1024	yes	complemented
1106	#121	C₂⁵	1	1024	yes	complemented
1107	#121	C₂⁵	1	256	yes	complemented
1108	#121	C₂⁵	1	512	yes	complemented
1109	#121	C₂⁵	1	512	yes	complemented
1110	#121	C₂⁵	1	512	yes	complemented
1111	#120	C₂⁵	1	512	yes	—
1112	#120	C₂⁵	1	1024	yes	—
1113	#120	C₂⁵	1	1024	yes	—
1114	#120	C₂⁵	1	1024	yes	—
1115	#120	C₂⁵	1	1024	yes	complemented
1116	#120	C₂⁵	1	1024	yes	complemented
1117	#120	C₂⁵	1	1024	yes	complemented
1118	C₄×Q₈	C₂⁵	1	128	yes	complemented
1119	C₄×Q₈	C₂⁵	1	256	yes	complemented
1120	C₄×Q₈	C₂⁵	1	128	yes	complemented
1121	C₄×Q₈	C₂⁵	1	256	yes	complemented
1122	C₄×Q₈	C₂⁵	1	256	yes	complemented
1123	C₄×Q₈	C₂⁵	1	256	yes	complemented
1124	C₄×D₄	C₂⁵	1	256	yes	—
1125	C₄×D₄	C₂⁵	1	256	yes	—
1126	C₄×D₄	C₂⁵	1	256	yes	—
1127	C₄×D₄	C₂⁵	1	256	yes	—
1128	C₄×D₄	C₂⁵	1	256	yes	—
1129	C₄×D₄	C₂⁵	1	256	yes	—
1130	C₄×D₄	C₂⁵	1	128	yes	—
1131	C₄×D₄	C₂⁵	1	512	yes	—
1132	C₄×D₄	C₂⁵	1	512	yes	—
1133	C₄×D₄	C₂⁵	1	512	yes	—
1134	C₄×D₄	C₂⁵	1	256	yes	—
1135	C₄×D₄	C₂⁵	1	128	yes	—
1136	C₄×D₄	C₂⁵	1	256	yes	—
1137	C₄×D₄	C₂⁵	1	512	yes	complemented
1138	C₄×D₄	C₂⁵	1	128	yes	complemented
1139	C₄×D₄	C₂⁵	1	1024	yes	complemented
1140	C₄×D₄	C₂⁵	1	1024	yes	complemented
1141	C₄×D₄	C₂⁵	1	512	yes	complemented
1142	C₄×D₄	C₂⁵	1	512	yes	complemented
1143	C₄×D₄	C₂⁵	1	1024	yes	complemented
1144	C₄×D₄	C₂⁵	1	1024	yes	complemented
1145	C₄×D₄	C₂⁵	1	512	yes	complemented
1146	C₄×D₄	C₂⁵	1	512	yes	complemented
1147	C₄×D₄	C₂⁵	1	512	yes	complemented
1148	C₄×D₄	C₂⁵	1	256	yes	complemented
1149	C₄×D₄	C₂⁵	1	512	yes	complemented
1150	C₄×D₄	C₂⁵	1	1024	yes	complemented
1151	C₄×D₄	C₂⁵	1	512	yes	complemented
1152	C₄×D₄	C₂⁵	1	512	yes	complemented
1153	C₄×D₄	C₂⁵	1	128	yes	complemented
1154	C₄×D₄	C₂⁵	1	512	yes	complemented
1155	C₄×D₄	C₂⁵	1	512	yes	complemented
1156	C₄×D₄	C₂⁵	1	512	yes	complemented
1157	C₄×D₄	C₂⁵	1	1024	yes	complemented
1158	C₄×D₄	C₂⁵	1	512	yes	complemented
1159	#117	C₂⁵	1	128	yes	—
1160	#117	C₂⁵	1	256	yes	—
1161	#117	C₂⁵	1	512	yes	—
1162	#117	C₂⁵	1	512	yes	complemented
1163	#117	C₂⁵	1	256	yes	complemented
1164	#117	C₂⁵	1	256	yes	complemented
1165	#117	C₂⁵	1	256	yes	complemented
1166	#117	C₂⁵	1	512	yes	complemented
1167	#117	C₂⁵	1	256	yes	complemented
1168	#117	C₂⁵	1	512	yes	complemented
1169	#117	C₂⁵	1	256	yes	complemented
1170	#117	C₂⁵	1	1024	yes	complemented
1171	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1172	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1173	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1174	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1175	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1176	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1177	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1178	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1179	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1180	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1181	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1182	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1183	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1184	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1185	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1186	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1187	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1188	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1189	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1190	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1191	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1192	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1193	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1194	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1195	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1196	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1197	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1198	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
1199	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1200	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1201	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1202	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1203	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1204	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1205	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1206	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1207	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1208	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1209	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1210	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
1211	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1212	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1213	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1214	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1215	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1216	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1217	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	—
1218	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1219	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1220	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1221	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1222	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1223	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1224	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1225	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1226	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1227	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	complemented
1228	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	complemented
1229	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	complemented
1230	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	complemented
1231	C₂×C₂²⋊C₄	C₂⁵	1	256	yes	complemented
1232	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	complemented
1233	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	complemented
1234	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	complemented
1235	C₂×C₄²	C₂⁵	1	48	yes	—
1236	C₂×C₄²	C₂⁵	1	96	yes	—
1237	C₂×C₄²	C₂⁵	1	96	yes	—
1238	C₂×C₄²	C₂⁵	1	96	yes	—
1239	C₂×C₄²	C₂⁵	1	96	yes	—
1240	C₂×C₄²	C₂⁵	1	48	yes	—
1241	C₂×C₄²	C₂⁵	1	24	yes	—
1242	C₂×C₄²	C₂⁵	1	24	yes	—
1243	C₂×C₄²	C₂⁵	1	48	yes	—
1244	C₂×C₄²	C₂⁵	1	64	yes	—
1245	C₂×C₄²	C₂⁵	1	512	yes	complemented
1246	C₂×C₄²	C₂⁵	1	256	yes	complemented
1247	C₂×C₄²	C₂⁵	1	256	yes	complemented
1248	C₂⁴	—	2	8	no	—
1249	C₂⁴	—	2	16	no	—
1250	C₂⁴	—	2	4	no	—
1251	C₂⁴	—	2	8	no	—
1252	C₂⁴	—	2	16	no	—
1253	C₂⁴	—	2	4	no	—
1254	C₂⁴	—	2	96	no	—
1255	C₂⁴	—	2	8	no	—
1256	C₂⁴	—	2	16	no	—
1257	C₂⁴	—	2	384	no	—
1258	C₂⁴	—	2	32	no	—
1259	C₂⁴	—	2	16	no	—
1260	C₂⁴	—	2	384	no	—
1261	C₂⁴	—	2	32	no	—
1262	C₂⁴	—	2	96	no	—
1263	C₂⁴	—	2	8	no	—
1264	C₂⁴	—	2	32	no	—
1265	C₂⁴	—	2	16	no	—
1266	C₂⁴	—	2	8	no	—
1267	C₂⁴	—	2	192	no	—
1268	C₂⁴	—	2	384	no	—
1269	C₂⁴	—	2	192	no	—
1270	C₂⁴	—	2	1024	no	—
1271	C₂⁴	—	4	48	no	—
1272	C₂⁴	—	4	192	no	—
1273	C₂⁴	—	4	128	no	—
1274	C₂⁴	—	4	48	no	—
1275	C₂⁴	—	4	48	no	—
1276	C₂⁴	—	4	96	no	—
1277	C₂⁴	—	4	192	no	—
1278	C₂⁴	—	4	96	no	—
1279	C₂⁴	—	4	512	no	—
1280	C₂⁴	—	4	96	no	—
1281	C₂⁴	—	4	192	no	—
1282	C₂⁴	—	4	96	no	—
1283	C₂⁴	—	4	512	no	—
1284	C₂⁴	—	4	128	no	—
1285	C₂⁴	—	8	128	no	—
1286	C₂⁴	—	8	128	no	—
1287	C₂⁴	—	8	256	no	—
1288	C₂⁴	—	8	256	no	—
1289	C₂⁴	—	8	3072	no	—
1290	C₂⁴	C₂²×#41	1	8	yes	—
1291	C₂⁴	C₂²×#41	1	32	yes	—
1292	C₂⁴	C₂²×#41	1	192	yes	complemented
1293	C₂⁴	C₂×H(5,𝔽₂)	1	16	yes	—
1294	C₂⁴	C₂⁶	1	12	yes	—
1295	C₂⁴	C₂⁶	1	48	yes	—
1296	C₂⁴	C₂⁶	1	24	yes	—
1297	C₂⁴	C₂⁶	1	32	yes	—
1298	C₂⁴	C₂⁶	1	128	yes	—
1299	C₂⁴	C₂⁶	1	6	yes	—
1300	C₂⁴	C₂⁶	1	24	yes	—
1301	C₂⁴	C₂⁶	1	12	yes	—
1302	C₂⁴	C₂⁶	1	64	yes	—
1303	C₂⁴	C₂⁶	1	128	yes	—
1304	C₂⁴	C₂⁶	1	64	yes	—
1305	C₂⁴	C₂⁶	1	32	yes	—
1306	C₂⁴	C₂⁶	1	1	yes	characteristic
1307	#41	—	2	1024	no	—
1308	#41	—	2	1024	no	—
1309	#41	—	2	512	no	—
1310	#41	—	4	2048	no	—
1311	#41	—	4	1024	no	—
1312	#41	—	8	512	no	—
1313	C₂×Q₈	—	2	96	no	—
1314	C₂×Q₈	—	2	192	no	—
1315	C₂×Q₈	—	4	192	no	—
1316	C₂×Q₈	—	4	96	no	—
1317	C₂×Q₈	—	4	512	no	—
1318	C₂×Q₈	C₂⁶	1	32	yes	—
1319	C₂×Q₈	C₂⁶	1	64	yes	—
1320	C₂×Q₈	C₂⁶	1	64	yes	—
1321	C₂×Q₈	C₂⁶	1	128	yes	—
1322	C₂×D₄	—	2	768	no	—
1323	C₂×D₄	—	2	192	no	—
1324	C₂×D₄	—	2	384	no	—
1325	C₂×D₄	—	2	1024	no	—
1326	C₂×D₄	—	2	1024	no	—
1327	C₂×D₄	—	2	96	no	—
1328	C₂×D₄	—	2	384	no	—
1329	C₂×D₄	—	2	384	no	—
1330	C₂×D₄	—	2	2048	no	—
1331	C₂×D₄	—	2	2048	no	—
1332	C₂×D₄	—	2	1024	no	—
1333	C₂×D₄	—	2	256	no	—
1334	C₂×D₄	—	2	1024	no	—
1335	C₂×D₄	—	2	384	no	—
1336	C₂×D₄	—	2	96	no	—
1337	C₂×D₄	—	2	512	no	—
1338	C₂×D₄	—	2	48	no	—
1339	C₂×D₄	—	2	192	no	—
1340	C₂×D₄	—	4	256	no	—
1341	C₂×D₄	—	4	512	no	—
1342	C₂×D₄	—	4	96	no	—
1343	C₂×D₄	—	4	192	no	—
1344	C₂×D₄	—	4	384	no	—
1345	C₂×D₄	—	4	192	no	—
1346	C₂×D₄	—	4	384	no	—
1347	C₂×D₄	—	4	192	no	—
1348	C₂×D₄	—	4	1024	no	—
1349	C₂×D₄	—	4	512	no	—
1350	C₂×D₄	—	4	1024	no	—
1351	C₂×D₄	—	8	128	no	—
1352	C₂×D₄	—	8	512	no	—
1353	C₂×D₄	C₂²×#41	1	384	yes	complemented
1354	C₂×D₄	C₂²×#41	1	512	yes	complemented
1355	C₂×D₄	C₂×H(5,𝔽₂)	1	96	yes	complemented
1356	C₂×D₄	C₂⁶	1	64	yes	—
1357	C₂×D₄	C₂⁶	1	32	yes	—
1358	C₂×D₄	C₂⁶	1	16	yes	—
1359	C₂×D₄	C₂⁶	1	256	yes	—
1360	C₂×D₄	C₂⁶	1	128	yes	—
1361	C₂×D₄	C₂⁶	1	128	yes	—
1362	C₂×D₄	C₂⁶	1	32	yes	—
1363	C₂×D₄	C₂⁶	1	128	yes	—
1364	C₂×D₄	C₂⁶	1	128	yes	—
1365	C₂×D₄	C₂⁶	1	64	yes	—
1366	C₂×D₄	C₂⁶	1	128	yes	—
1367	C₂×D₄	C₂⁶	1	128	yes	—
1368	C₂×D₄	C₂⁶	1	256	yes	—
1369	C₂×D₄	C₂⁶	1	128	yes	—
1370	C₂×D₄	C₂⁶	1	256	yes	—
1371	C₂×D₄	C₂⁶	1	64	yes	—
1372	C₂×D₄	C₂⁶	1	64	yes	—
1373	C₂×D₄	C₂⁶	1	16	yes	—
1374	C₂²×C₄	—	2	96	no	—
1375	C₂²×C₄	—	2	16	no	—
1376	C₂²×C₄	—	2	16	no	—
1377	C₂²×C₄	—	2	192	no	—
1378	C₂²×C₄	—	2	16	no	—
1379	C₂²×C₄	—	2	4	no	—
1380	C₂²×C₄	—	2	16	no	—
1381	C₂²×C₄	—	2	32	no	—
1382	C₂²×C₄	—	2	384	no	—
1383	C₂²×C₄	—	2	16	no	—
1384	C₂²×C₄	—	2	32	no	—
1385	C₂²×C₄	—	2	8	no	—
1386	C₂²×C₄	—	2	192	no	—
1387	C₂²×C₄	—	2	192	no	—
1388	C₂²×C₄	—	2	192	no	—
1389	C₂²×C₄	—	2	512	no	—
1390	C₂²×C₄	—	2	48	no	—
1391	C₂²×C₄	—	2	192	no	—
1392	C₂²×C₄	—	2	192	no	—
1393	C₂²×C₄	—	4	256	no	—
1394	C₂²×C₄	—	4	512	no	—
1395	C₂²×C₄	—	4	96	no	—
1396	C₂²×C₄	—	4	96	no	—
1397	C₂²×C₄	—	4	48	no	—
1398	C₂²×C₄	—	4	192	no	—
1399	C₂²×C₄	—	4	192	no	—
1400	C₂²×C₄	—	4	384	no	—
1401	C₂²×C₄	—	4	1024	no	—
1402	C₂²×C₄	—	4	96	no	—
1403	C₂²×C₄	—	4	192	no	—
1404	C₂²×C₄	—	4	192	no	—
1405	C₂²×C₄	—	4	384	no	—
1406	C₂²×C₄	—	4	24	no	—
1407	C₂²×C₄	—	4	96	no	—
1408	C₂²×C₄	—	8	512	no	—
1409	C₂²×C₄	C₂²×#41	1	16	yes	—
1410	C₂²×C₄	C₂²×#41	1	96	yes	complemented
1411	C₂²×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1412	C₂²×C₄	C₂⁶	1	24	yes	—
1413	C₂²×C₄	C₂⁶	1	24	yes	—
1414	C₂²×C₄	C₂⁶	1	24	yes	—
1415	C₂²×C₄	C₂⁶	1	12	yes	—
1416	C₂²×C₄	C₂⁶	1	24	yes	—
1417	C₂²×C₄	C₂⁶	1	48	yes	—
1418	C₂²×C₄	C₂⁶	1	48	yes	—
1419	C₂²×C₄	C₂⁶	1	24	yes	—
1420	C₂²×C₄	C₂⁶	1	6	yes	—
1421	C₂²×C₄	C₂⁶	1	16	yes	—
1422	C₂²×C₄	C₂⁶	1	64	yes	—
1423	C₂²×C₄	C₂⁶	1	128	yes	—
1424	C₂²×C₄	C₂⁶	1	64	yes	—
1425	C₂²×C₄	C₂⁶	1	64	yes	—
1426	C₂²×C₄	C₂⁶	1	64	yes	—
1427	C₂²×C₄	C₂⁶	1	64	yes	—
1428	C₂²×C₄	C₂⁶	1	32	yes	—
1429	C₂²×C₄	C₂⁶	1	64	yes	—
1430	C₂²×C₄	C₂⁶	1	16	yes	—
1431	C₂²×C₄	C₂⁶	1	64	yes	—
1432	C₂²×C₄	C₂⁶	1	128	yes	—
1433	C₂²×C₄	C₂⁶	1	64	yes	—
1434	C₂²×C₄	C₂⁶	1	32	yes	—
1435	C₂²×C₄	C₂⁶	1	128	yes	—
1436	C₂²×C₄	C₂⁶	1	64	yes	—
1437	C₂²×C₄	C₂⁶	1	128	yes	—
1438	C₂²×C₄	C₂⁶	1	256	yes	—
1439	C₂²×C₄	C₂⁶	1	256	yes	—
1440	C₂²×C₄	C₂⁶	1	64	yes	—
1441	C₂²×C₄	C₂⁶	1	128	yes	—
1442	C₂²×C₄	C₂⁶	1	12	yes	—
1443	C₂²×C₄	C₂⁶	1	16	yes	—
1444	C₂²×C₄	C₂⁶	1	6	yes	—
1445	C₄⋊C₄	C₂⁶	1	64	yes	—
1446	C₄⋊C₄	C₂⁶	1	32	yes	—
1447	C₄⋊C₄	C₂⁶	1	32	yes	—
1448	C₄⋊C₄	C₂⁶	1	32	yes	—
1449	C₄⋊C₄	C₂⁶	1	32	yes	—
1450	C₄⋊C₄	C₂⁶	1	64	yes	—
1451	C₄⋊C₄	C₂⁶	1	128	yes	—
1452	C₄⋊C₄	C₂⁶	1	64	yes	—
1453	C₄⋊C₄	C₂⁶	1	128	yes	—
1454	C₄⋊C₄	C₂⁶	1	64	yes	—
1455	C₄⋊C₄	C₂⁶	1	64	yes	—
1456	C₄⋊C₄	C₂⁶	1	128	yes	—
1457	C₄⋊C₄	C₂⁶	1	128	yes	—
1458	C₄⋊C₄	C₂⁶	1	256	yes	—
1459	C₄⋊C₄	C₂⁶	1	128	yes	—
1460	C₄⋊C₄	C₂⁶	1	64	yes	—
1461	C₄⋊C₄	C₂⁶	1	128	yes	—
1462	C₄⋊C₄	C₂⁶	1	128	yes	—
1463	C₄⋊C₄	C₂⁶	1	128	yes	—
1464	C₄⋊C₄	C₂⁶	1	64	yes	—
1465	C₂²⋊C₄	C₂⁶	1	64	yes	—
1466	C₂²⋊C₄	C₂⁶	1	128	yes	—
1467	C₂²⋊C₄	C₂⁶	1	128	yes	—
1468	C₂²⋊C₄	C₂⁶	1	128	yes	—
1469	C₂²⋊C₄	C₂⁶	1	128	yes	—
1470	C₂²⋊C₄	C₂⁶	1	256	yes	—
1471	C₂²⋊C₄	C₂⁶	1	256	yes	—
1472	C₂²⋊C₄	C₂⁶	1	256	yes	—
1473	C₂²⋊C₄	C₂⁶	1	128	yes	—
1474	C₂²⋊C₄	C₂⁶	1	64	yes	—
1475	C₂²⋊C₄	C₂⁶	1	256	yes	—
1476	C₂²⋊C₄	C₂⁶	1	64	yes	—
1477	C₂²⋊C₄	C₂⁶	1	128	yes	—
1478	C₂²⋊C₄	C₂⁶	1	64	yes	—
1479	C₂²⋊C₄	C₂⁶	1	128	yes	—
1480	C₂²⋊C₄	C₂⁶	1	64	yes	—
1481	C₂²⋊C₄	C₂⁶	1	128	yes	—
1482	C₂²⋊C₄	C₂⁶	1	256	yes	—
1483	C₂²⋊C₄	C₂⁶	1	256	yes	—
1484	C₂²⋊C₄	C₂⁶	1	128	yes	—
1485	C₂²⋊C₄	C₂⁶	1	128	yes	—
1486	C₄²	C₂⁶	1	32	yes	—
1487	C₄²	C₂⁶	1	32	yes	—
1488	C₄²	C₂⁶	1	64	yes	—
1489	C₄²	C₂⁶	1	64	yes	—
1490	C₄²	C₂⁶	1	128	yes	—
1491	C₄²	C₂⁶	1	128	yes	—
1492	C₄²	C₂⁶	1	128	yes	—
1493	C₄²	C₂⁶	1	128	yes	—
1494	C₄²	C₂⁶	1	64	yes	—
1495	C₂³	—	2	64	no	—
1496	C₂³	—	2	32	no	—
1497	C₂³	—	2	128	no	—
1498	C₂³	—	2	24	no	—
1499	C₂³	—	2	48	no	—
1500	C₂³	—	2	12	no	—
1501	C₂³	—	2	24	no	—
1502	C₂³	—	2	48	no	—
1503	C₂³	—	2	12	no	—
1504	C₂³	—	2	64	no	—
1505	C₂³	—	2	24	no	—
1506	C₂³	—	2	48	no	—
1507	C₂³	—	2	256	no	—
1508	C₂³	—	2	96	no	—
1509	C₂³	—	2	48	no	—
1510	C₂³	—	2	256	no	—
1511	C₂³	—	2	96	no	—
1512	C₂³	—	2	64	no	—
1513	C₂³	—	2	24	no	—
1514	C₂³	—	2	96	no	—
1515	C₂³	—	2	48	no	—
1516	C₂³	—	2	24	no	—
1517	C₂³	—	2	128	no	—
1518	C₂³	—	2	256	no	—
1519	C₂³	—	2	128	no	—
1520	C₂³	—	4	32	no	—
1521	C₂³	—	4	128	no	—
1522	C₂³	—	4	384	no	—
1523	C₂³	—	4	32	no	—
1524	C₂³	—	4	32	no	—
1525	C₂³	—	4	64	no	—
1526	C₂³	—	4	128	no	—
1527	C₂³	—	4	64	no	—
1528	C₂³	—	4	64	no	—
1529	C₂³	—	4	128	no	—
1530	C₂³	—	4	64	no	—
1531	C₂³	—	4	1536	no	—
1532	C₂³	—	4	384	no	—
1533	C₂³	—	4	128	no	—
1534	C₂³	—	4	32	no	—
1535	C₂³	—	4	64	no	—
1536	C₂³	—	8	384	no	—
1537	C₂³	—	8	384	no	—
1538	C₂³	—	8	768	no	—
1539	C₂³	—	8	2048	no	—
1540	C₂³	C₂³×#41	1	24	yes	—
1541	C₂³	C₂³×#41	1	96	yes	—
1542	C₂³	C₂³×#41	1	4	yes	—
1543	C₂³	C₂³×#41	1	128	yes	complemented
1544	C₂³	C₂²×H(5,𝔽₂)	1	48	yes	—
1545	C₂³	C₂²×H(5,𝔽₂)	1	4	yes	—
1546	C₂³	H(7,𝔽₂)	1	4	yes	—
1547	C₂³	C₂⁷	1	8	yes	—
1548	C₂³	C₂⁷	1	32	yes	—
1549	C₂³	C₂⁷	1	16	yes	—
1550	C₂³	C₂⁷	1	4	yes	—
1551	C₂³	C₂⁷	1	16	yes	—
1552	C₂³	C₂⁷	1	8	yes	—
1553	C₂³	C₂⁷	1	3	yes	—
1554	Q₈	—	2	64	no	—
1555	Q₈	—	2	128	no	—
1556	Q₈	—	4	128	no	—
1557	Q₈	—	4	64	no	—
1558	D₄	—	2	512	no	—
1559	D₄	—	2	128	no	—
1560	D₄	—	2	256	no	—
1561	D₄	—	2	64	no	—
1562	D₄	—	2	256	no	—
1563	D₄	—	2	256	no	—
1564	D₄	—	2	256	no	—
1565	D₄	—	2	64	no	—
1566	D₄	—	2	32	no	—
1567	D₄	—	2	128	no	—
1568	D₄	—	4	64	no	—
1569	D₄	—	4	128	no	—
1570	D₄	—	4	256	no	—
1571	D₄	—	4	128	no	—
1572	D₄	—	4	256	no	—
1573	D₄	—	4	128	no	—
1574	D₄	C₂³×#41	1	256	yes	complemented
1575	D₄	C₂²×H(5,𝔽₂)	1	64	yes	complemented
1576	C₂×C₄	—	2	64	no	—
1577	C₂×C₄	—	2	48	no	—
1578	C₂×C₄	—	2	48	no	—
1579	C₂×C₄	—	2	128	no	—
1580	C₂×C₄	—	2	48	no	—
1581	C₂×C₄	—	2	12	no	—
1582	C₂×C₄	—	2	48	no	—
1583	C₂×C₄	—	2	96	no	—
1584	C₂×C₄	—	2	256	no	—
1585	C₂×C₄	—	2	48	no	—
1586	C₂×C₄	—	2	96	no	—
1587	C₂×C₄	—	2	24	no	—
1588	C₂×C₄	—	2	128	no	—
1589	C₂×C₄	—	2	128	no	—
1590	C₂×C₄	—	2	128	no	—
1591	C₂×C₄	—	2	32	no	—
1592	C₂×C₄	—	2	128	no	—
1593	C₂×C₄	—	2	128	no	—
1594	C₂×C₄	—	4	64	no	—
1595	C₂×C₄	—	4	64	no	—
1596	C₂×C₄	—	4	32	no	—
1597	C₂×C₄	—	4	128	no	—
1598	C₂×C₄	—	4	128	no	—
1599	C₂×C₄	—	4	256	no	—
1600	C₂×C₄	—	4	64	no	—
1601	C₂×C₄	—	4	128	no	—
1602	C₂×C₄	—	4	128	no	—
1603	C₂×C₄	—	4	256	no	—
1604	C₂×C₄	—	4	16	no	—
1605	C₂×C₄	—	4	64	no	—
1606	C₂×C₄	C₂³×#41	1	48	yes	—
1607	C₂×C₄	C₂³×#41	1	64	yes	complemented
1608	C₂×C₄	C₂²×H(5,𝔽₂)	1	24	yes	—
1609	C₂×C₄	C₂⁷	1	16	yes	—
1610	C₂×C₄	C₂⁷	1	16	yes	—
1611	C₂×C₄	C₂⁷	1	16	yes	—
1612	C₂×C₄	C₂⁷	1	8	yes	—
1613	C₂×C₄	C₂⁷	1	16	yes	—
1614	C₂×C₄	C₂⁷	1	32	yes	—
1615	C₂×C₄	C₂⁷	1	32	yes	—
1616	C₂×C₄	C₂⁷	1	16	yes	—
1617	C₂×C₄	C₂⁷	1	4	yes	—
1618	C₂×C₄	C₂⁷	1	8	yes	—
1619	C₂×C₄	C₂⁷	1	4	yes	—
1620	C₂²	—	2	8	no	—
1621	C₂²	—	2	16	no	—
1622	C₂²	—	2	4	no	—
1623	C₂²	—	2	8	no	—
1624	C₂²	—	2	16	no	—
1625	C₂²	—	2	4	no	—
1626	C₂²	—	2	96	no	—
1627	C₂²	—	2	48	no	—
1628	C₂²	—	2	192	no	—
1629	C₂²	—	2	8	no	—
1630	C₂²	—	2	16	no	—
1631	C₂²	—	2	32	no	—
1632	C₂²	—	2	16	no	—
1633	C₂²	—	2	32	no	—
1634	C₂²	—	2	8	no	—
1635	C₂²	—	2	32	no	—
1636	C₂²	—	2	16	no	—
1637	C₂²	—	2	8	no	—
1638	C₂²	—	4	128	no	—
1639	C₂²	—	4	512	no	—
1640	C₂²	—	4	128	no	—
1641	C₂²	—	4	192	no	—
1642	C₂²	—	4	48	no	—
1643	C₂²	—	4	96	no	—
1644	C₂²	—	8	128	no	—
1645	C₂²	—	8	128	no	—
1646	C₂²	—	8	256	no	—
1647	C₂²	#62983	1	16	yes	direct product factor
1648	C₂²	C₂⁴×#41	1	8	yes	—
1649	C₂²	C₂⁴×#41	1	32	yes	—
1650	C₂²	C₂⁴×#41	1	6	yes	—
1651	C₂²	C₂³×H(5,𝔽₂)	1	16	yes	—
1652	C₂²	C₂³×H(5,𝔽₂)	1	6	yes	—
1653	C₂²	C₂×H(7,𝔽₂)	1	6	yes	—
1654	C₂²	C₂⁸	1	1	yes	characteristic
1655	C₄	—	2	16	no	—
1656	C₄	—	2	16	no	—
1657	C₄	—	2	16	no	—
1658	C₄	—	2	4	no	—
1659	C₄	—	2	16	no	—
1660	C₄	—	2	32	no	—
1661	C₄	—	2	16	no	—
1662	C₄	—	2	32	no	—
1663	C₄	—	2	8	no	—
1664	C₄	C₂⁴×#41	1	16	yes	—
1665	C₄	C₂³×H(5,𝔽₂)	1	8	yes	—
1666	C₂	—	2	16	no	—
1667	C₂	—	2	8	no	—
1668	C₂	—	2	32	no	—
1669	C₂	—	4	32	no	—
1670	C₂	—	4	8	no	—
1671	C₂	—	4	16	no	—
1672	C₂	C₂×#62983	1	12	yes	direct product factor
1673	C₂	C₂⁵×#41	1	1	yes	characteristic
1674	C₂	C₂⁴×H(5,𝔽₂)	1	1	yes	characteristic
1675	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×#62983	C₂	direct (N × H)
2. C₂²×#3508	C₂	semidirect
3. C₂²×#3494	C₂	semidirect
4. C₂²×#3514	C₂	semidirect
5. C₂²×#3519	C₂	semidirect
6. C₂²×#3519	C₂	semidirect
7. C₂²×#3513	C₂	semidirect
8. C₂²×#3505	C₂	semidirect
9. C₂²×#3490	C₂	semidirect
10. C₂²×#3501	C₂	semidirect
11. C₂²×#3484	C₂	semidirect
12. C₂²×#3481	C₂	semidirect
13. C₂²×#3475	C₂	semidirect
14. C₂²×D₄×#41	C₂	semidirect
15. C₂³×#546	C₂	semidirect
16. C₂³×D₄²	C₂	semidirect
17. C₂²×C₄×H(5,𝔽₂)	C₂	semidirect
18. C₂³×#518	C₂	semidirect
20. C₂⁴×#41	C₂²	semidirect
22. C₂⁵×D₄	C₂²	semidirect
23. #62983	C₂²	direct (N × H)
24. C₂×#3508	C₂²	semidirect
25. C₂×#3494	C₂²	semidirect
26. C₂×#3514	C₂²	semidirect
27. C₂×#3519	C₂²	semidirect
28. C₂×#3519	C₂²	semidirect
29. C₂×#3513	C₂²	semidirect
30. C₂×#3505	C₂²	semidirect
31. C₂×#3490	C₂²	semidirect
32. C₂×#3501	C₂²	semidirect
33. C₂×#3484	C₂²	semidirect
34. C₂×#3481	C₂²	semidirect
35. C₂²×#559	C₂²	semidirect
36. C₂²×#559	C₂²	semidirect
37. C₂×#3475	C₂²	semidirect
38. C₂²×#555	C₂²	semidirect
39. C₂²×#555	C₂²	semidirect
40. C₂²×#556	C₂²	semidirect
41. C₂²×#553	C₂²	semidirect
42. C₂²×#553	C₂²	semidirect
43. C₂²×#553	C₂²	semidirect
44. C₂²×#553	C₂²	semidirect
45. C₂²×#553	C₂²	semidirect
46. C₂²×#552	C₂²	semidirect
47. C₂²×#552	C₂²	semidirect
48. C₂²×#551	C₂²	semidirect
49. C₂²×#551	C₂²	semidirect
50. C₂²×#551	C₂²	semidirect
51. C₂²×#551	C₂²	semidirect
52. C₂²×#554	C₂²	semidirect
53. C₂²×#554	C₂²	semidirect
54. C₂²×#554	C₂²	semidirect
55. C₂×D₄×#41	C₂²	semidirect
56. C₂²×#550	C₂²	semidirect
57. C₂²×#550	C₂²	semidirect
58. C₂²×#547	C₂²	semidirect
59. C₂²×#547	C₂²	semidirect
60. C₂²×#548	C₂²	semidirect
61. C₂²×#546	C₂²	semidirect
62. C₂²×#546	C₂²	semidirect
63. C₂²×#546	C₂²	semidirect
64. C₂²×#546	C₂²	semidirect
65. C₂²×#546	C₂²	semidirect
66. C₂²×#546	C₂²	semidirect
67. C₂²×#546	C₂²	semidirect
68. C₂²×#546	C₂²	semidirect
69. C₂²×#546	C₂²	semidirect
70. C₂²×#546	C₂²	semidirect
71. C₂²×#546	C₂²	semidirect
72. C₂²×#546	C₂²	semidirect
73. C₂²×D₄×Q₈	C₂²	semidirect
74. C₂²×D₄²	C₂²	semidirect
75. C₂²×D₄²	C₂²	semidirect
76. C₂²×D₄²	C₂²	semidirect
77. C₂²×D₄²	C₂²	semidirect
78. C₂²×D₄²	C₂²	semidirect
79. C₂²×D₄²	C₂²	semidirect
80. C₂²×#542	C₂²	semidirect
81. C₂²×#540	C₂²	semidirect
82. C₂²×#540	C₂²	semidirect
83. C₂²×#544	C₂²	semidirect
84. C₂²×#535	C₂²	semidirect
85. C₂²×#539	C₂²	semidirect
86. C₂²×#538	C₂²	semidirect
87. C₂²×#538	C₂²	semidirect
88. C₂²×#538	C₂²	semidirect
89. C₂²×#543	C₂²	semidirect
90. C₂²×#534	C₂²	semidirect
91. C₂²×#533	C₂²	semidirect
92. C₂²×#532	C₂²	semidirect
93. C₂²×#532	C₂²	semidirect
94. C₂²×#532	C₂²	semidirect
95. C₂³×#127	C₂²	semidirect
96. C₂²×#529	C₂²	semidirect
97. C₂²×#529	C₂²	semidirect
98. C₂²×#529	C₂²	semidirect
99. C₂²×#529	C₂²	semidirect
100. C₂³×#124	C₂²	semidirect
101. C₂²×#525	C₂²	semidirect
102. C₂²×#525	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×#121	C₂²	semidirect
108. C₂³×#121	C₂²	semidirect
109. C₂³×#121	C₂²	semidirect
110. C₂³×#121	C₂²	semidirect
111. C₂³×#120	C₂²	semidirect
112. C₂³×#120	C₂²	semidirect
113. C₂×C₄×H(5,𝔽₂)	C₂²	semidirect
114. C₂²×#520	C₂²	semidirect
115. 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×#518	C₂²	semidirect
123. C₂²×#518	C₂²	semidirect
124. C₂²×#518	C₂²	semidirect
125. C₂²×C₄×#41	C₂²	semidirect
126. C₂²×C₄×#41	C₂²	semidirect
127. C₂²×C₄×#41	C₂²	semidirect
129. C₂³×C₄×D₄	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×C₂²⋊C₄	C₂²	semidirect
144. C₂³×#41	C₂³	semidirect
145. C₂³×#41	C₂³	semidirect
146. C₂³×#41	C₂³	semidirect
147. C₂³×#41	C₂³	semidirect
148. C₂⁴×Q₈	C₂³	semidirect
166. C₂⁴×D₄	C₂³	semidirect
167. C₂⁴×D₄	C₂³	semidirect
168. C₂⁴×D₄	C₂³	semidirect
171. C₂⁵×C₄	C₂³	semidirect
172. C₂⁵×C₄	C₂³	semidirect
173. C₂⁵×C₄	C₂³	semidirect
174. #3519	C₂³	semidirect
175. #3519	C₂³	semidirect
176. #3514	C₂³	semidirect
177. #3513	C₂³	semidirect
178. #3508	C₂³	semidirect
179. #3505	C₂³	semidirect
180. #3501	C₂³	semidirect
181. #3494	C₂³	semidirect
182. #3490	C₂³	semidirect
183. #3484	C₂³	semidirect
184. #3481	C₂³	semidirect
185. C₂×#559	C₂³	semidirect
186. C₂×#559	C₂³	semidirect
187. #3475	C₂³	semidirect
188. C₂×#556	C₂³	semidirect
189. C₂×#555	C₂³	semidirect
190. C₂×#555	C₂³	semidirect
191. C₂×#554	C₂³	semidirect
192. C₂×#554	C₂³	semidirect
193. C₂×#554	C₂³	semidirect
194. C₂×#553	C₂³	semidirect
195. C₂×#553	C₂³	semidirect
196. C₂×#553	C₂³	semidirect
197. C₂×#553	C₂³	semidirect
198. C₂×#553	C₂³	semidirect
199. C₂×#552	C₂³	semidirect
200. C₂×#552	C₂³	semidirect
201. C₂×#551	C₂³	semidirect
202. C₂×#551	C₂³	semidirect
203. C₂×#551	C₂³	semidirect
204. C₂×#551	C₂³	semidirect
205. D₄×#41	C₂³	semidirect
206. C₂×#550	C₂³	semidirect
207. C₂×#550	C₂³	semidirect
208. C₂×D₄×Q₈	C₂³	semidirect
209. C₂×#548	C₂³	semidirect
210. C₂×#547	C₂³	semidirect
211. C₂×#547	C₂³	semidirect
212. C₂×#546	C₂³	semidirect
213. C₂×#546	C₂³	semidirect
214. C₂×#546	C₂³	semidirect
215. C₂×#546	C₂³	semidirect
216. C₂×#546	C₂³	semidirect
217. C₂×#546	C₂³	semidirect
218. C₂×#546	C₂³	semidirect
219. C₂×#546	C₂³	semidirect
220. C₂×#546	C₂³	semidirect
221. C₂×#546	C₂³	semidirect
222. C₂×#546	C₂³	semidirect
223. C₂×#546	C₂³	semidirect
224. C₂×D₄²	C₂³	semidirect
225. C₂×D₄²	C₂³	semidirect
226. C₂×D₄²	C₂³	semidirect
227. C₂×D₄²	C₂³	semidirect
228. C₂×D₄²	C₂³	semidirect
229. C₂×D₄²	C₂³	semidirect
230. C₂×#544	C₂³	semidirect
231. C₂×#543	C₂³	semidirect
232. C₂×#542	C₂³	semidirect
233. C₂×#540	C₂³	semidirect
234. C₂×#540	C₂³	semidirect
235. C₂×#539	C₂³	semidirect
236. C₂×#538	C₂³	semidirect
237. C₂×#538	C₂³	semidirect
238. C₂×#538	C₂³	semidirect
239. C₂×#535	C₂³	semidirect
240. C₂×#534	C₂³	semidirect
241. C₂×#533	C₂³	semidirect
242. C₂×#532	C₂³	semidirect
243. C₂×#532	C₂³	semidirect
244. C₂×#532	C₂³	semidirect
245. C₂²×C₄⋊Q₈	C₂³	semidirect
246. C₂²×C₄⋊Q₈	C₂³	semidirect
247. C₂²×C₄⋊Q₈	C₂³	semidirect
250. C₂²×#127	C₂³	semidirect
251. C₂²×#127	C₂³	semidirect
252. C₂×#529	C₂³	semidirect
253. C₂×#529	C₂³	semidirect
254. C₂×#529	C₂³	semidirect
255. C₂×#529	C₂³	semidirect
256. C₂²×#126	C₂³	semidirect
257. C₂²×#126	C₂³	semidirect
258. C₂²×#126	C₂³	semidirect
259. C₂²×#126	C₂³	semidirect
260. C₂²×#126	C₂³	semidirect
261. C₂²×#125	C₂³	semidirect
262. C₂²×#125	C₂³	semidirect
263. C₂²×#125	C₂³	semidirect
264. C₂²×#125	C₂³	semidirect
266. C₂²×#124	C₂³	semidirect
267. C₂²×#124	C₂³	semidirect
268. C₂²×#124	C₂³	semidirect
269. C₂²×#124	C₂³	semidirect
270. C₂²×#124	C₂³	semidirect
271. C₂²×#124	C₂³	semidirect
272. C₂²×#124	C₂³	semidirect
273. C₂×#525	C₂³	semidirect
274. C₂×#525	C₂³	semidirect
275. C₂×#525	C₂³	semidirect
276. C₂×#525	C₂³	semidirect
279. C₂²×#123	C₂³	semidirect
280. C₂²×#123	C₂³	semidirect
281. C₂²×#123	C₂³	semidirect
282. C₂²×#123	C₂³	semidirect
283. C₂²×#123	C₂³	semidirect
284. C₂²×#123	C₂³	semidirect
285. C₂²×#123	C₂³	semidirect
286. C₂²×#123	C₂³	semidirect
287. C₂²×#123	C₂³	semidirect
288. C₂²×#123	C₂³	semidirect
292. C₂²×C₂²⋊Q₈	C₂³	semidirect
293. C₂²×C₂²⋊Q₈	C₂³	semidirect
294. C₂²×C₂²⋊Q₈	C₂³	semidirect
295. C₂²×C₂²⋊Q₈	C₂³	semidirect
296. C₂²×C₂²⋊Q₈	C₂³	semidirect
297. C₂²×C₂²⋊Q₈	C₂³	semidirect
298. C₂²×C₂²⋊Q₈	C₂³	semidirect
299. C₂²×C₂²⋊Q₈	C₂³	semidirect
300. C₂²×C₂²⋊Q₈	C₂³	semidirect
301. C₂²×C₂²⋊Q₈	C₂³	semidirect
308. C₂²×#121	C₂³	semidirect
309. C₂²×#121	C₂³	semidirect
310. C₂²×#121	C₂³	semidirect
311. C₂²×#121	C₂³	semidirect
312. C₂²×#121	C₂³	semidirect
313. C₂²×#121	C₂³	semidirect
314. C₂²×#121	C₂³	semidirect
315. C₂²×#121	C₂³	semidirect
316. C₂²×#121	C₂³	semidirect
317. C₂²×#121	C₂³	semidirect
318. C₂²×#121	C₂³	semidirect
319. C₂²×#121	C₂³	semidirect
320. C₂²×#121	C₂³	semidirect
321. C₂²×#121	C₂³	semidirect
322. C₂²×#121	C₂³	semidirect
323. C₂²×#121	C₂³	semidirect
324. C₂²×#121	C₂³	semidirect
329. C₂²×#120	C₂³	semidirect
330. C₂²×#120	C₂³	semidirect
331. C₂²×#120	C₂³	semidirect
332. C₂²×#120	C₂³	semidirect
333. C₂²×#120	C₂³	semidirect
334. C₄×H(5,𝔽₂)	C₂³	semidirect
335. C₂×#520	C₂³	semidirect
336. C₂×#520	C₂³	semidirect
339. C₂×#518	C₂³	semidirect
340. C₂×#518	C₂³	semidirect
341. C₂×#518	C₂³	semidirect
342. C₂×#518	C₂³	semidirect
343. C₂×#518	C₂³	semidirect
344. C₂×#518	C₂³	semidirect
345. C₂×#518	C₂³	semidirect
346. C₂×C₄×#41	C₂³	semidirect
347. C₂×C₄×#41	C₂³	semidirect
348. C₂×C₄×#41	C₂³	semidirect
349. C₂²×C₄×Q₈	C₂³	semidirect
350. C₂²×C₄×Q₈	C₂³	semidirect
351. C₂²×C₄×Q₈	C₂³	semidirect
352. C₂²×C₄×Q₈	C₂³	semidirect
353. C₂²×C₄×Q₈	C₂³	semidirect
354. C₂²×C₄×Q₈	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
376. C₂²×C₄×D₄	C₂³	semidirect
377. C₂²×C₄×D₄	C₂³	semidirect
378. C₂²×C₄×D₄	C₂³	semidirect
379. C₂²×C₄×D₄	C₂³	semidirect
380. C₂²×C₄×D₄	C₂³	semidirect
381. C₂²×C₄×D₄	C₂³	semidirect
382. C₂²×C₄×D₄	C₂³	semidirect
383. C₂²×C₄×D₄	C₂³	semidirect
384. C₂²×C₄×D₄	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
390. C₂²×C₄×D₄	C₂³	semidirect
391. C₂²×C₄×D₄	C₂³	semidirect
392. C₂²×C₄×D₄	C₂³	semidirect
393. C₂²×C₄×D₄	C₂³	semidirect
394. C₂²×C₄×D₄	C₂³	semidirect
395. C₂²×C₄×D₄	C₂³	semidirect
396. C₂²×C₄×D₄	C₂³	semidirect
400. C₂²×#117	C₂³	semidirect
401. C₂²×#117	C₂³	semidirect
402. C₂²×#117	C₂³	semidirect
403. C₂²×#117	C₂³	semidirect
404. C₂²×#117	C₂³	semidirect
405. C₂²×#117	C₂³	semidirect
406. C₂²×#117	C₂³	semidirect
407. C₂²×#117	C₂³	semidirect
408. C₂²×#117	C₂³	semidirect
409. C₂²×#117	C₂³	semidirect
412. C₂³×C₄⋊C₄	C₂³	semidirect
413. C₂³×C₄⋊C₄	C₂³	semidirect
414. C₂³×C₄⋊C₄	C₂³	semidirect
415. C₂³×C₄⋊C₄	C₂³	semidirect
416. C₂³×C₄⋊C₄	C₂³	semidirect
417. C₂³×C₄⋊C₄	C₂³	semidirect
425. C₂³×C₂²⋊C₄	C₂³	semidirect
426. C₂³×C₂²⋊C₄	C₂³	semidirect
427. C₂³×C₂²⋊C₄	C₂³	semidirect
428. C₂³×C₂²⋊C₄	C₂³	semidirect
429. C₂³×C₂²⋊C₄	C₂³	semidirect
430. C₂³×C₂²⋊C₄	C₂³	semidirect
431. C₂³×C₂²⋊C₄	C₂³	semidirect
432. C₂³×C₂²⋊C₄	C₂³	semidirect
433. C₂³×C₂²⋊C₄	C₂³	semidirect
435. C₂³×C₄²	C₂³	semidirect
436. C₂³×C₄²	C₂³	semidirect
437. C₂³×C₄²	C₂³	semidirect
460. C₂²×#41	C₂⁴	semidirect
461. C₂²×#41	C₂⁴	semidirect
462. C₂²×#41	C₂⁴	semidirect
463. C₂²×#41	C₂⁴	semidirect
469. C₂³×Q₈	C₂⁴	semidirect
487. C₂³×D₄	#41	semidirect
521. C₂³×D₄	C₂⁴	semidirect
522. C₂³×D₄	C₂⁴	semidirect
523. C₂³×D₄	C₂⁴	semidirect
553. C₂⁴×C₄	C₂⁴	semidirect
554. C₂⁴×C₄	C₂⁴	semidirect
555. C₂⁴×C₄	C₂⁴	semidirect
556. #559	C₂⁴	semidirect
557. #559	C₂⁴	semidirect
558. #556	C₂⁴	semidirect
559. #555	C₂⁴	semidirect
560. #555	C₂⁴	semidirect
561. #554	C₂⁴	semidirect
562. #554	C₂⁴	semidirect
563. #554	C₂⁴	semidirect
564. #553	C₂⁴	semidirect
565. #553	C₂⁴	semidirect
566. #553	C₂⁴	semidirect
567. #553	C₂⁴	semidirect
568. #553	C₂⁴	semidirect
569. #552	C₂⁴	semidirect
570. #552	C₂⁴	semidirect
571. #551	C₂⁴	semidirect
572. #551	C₂⁴	semidirect
573. #551	C₂⁴	semidirect
574. #551	C₂⁴	semidirect
575. #550	C₂⁴	semidirect
576. #550	C₂⁴	semidirect
577. D₄×Q₈	C₂⁴	semidirect
578. #548	C₂⁴	semidirect
579. #547	C₂⁴	semidirect
580. #547	C₂⁴	semidirect
581. #546	C₂⁴	semidirect
582. #546	C₂⁴	semidirect
583. #546	C₂⁴	semidirect
584. #546	C₂⁴	semidirect
585. #546	C₂⁴	semidirect
586. #546	C₂⁴	semidirect
587. #546	C₂⁴	semidirect
588. #546	C₂⁴	semidirect
589. #546	C₂⁴	semidirect
590. #546	C₂⁴	semidirect
591. #546	C₂⁴	semidirect
592. D₄²	C₂⁴	semidirect
593. D₄²	C₂⁴	semidirect
594. D₄²	C₂⁴	semidirect
595. D₄²	C₂⁴	semidirect
596. D₄²	C₂⁴	semidirect
597. #544	C₂⁴	semidirect
598. #543	C₂⁴	semidirect
599. #542	C₂⁴	semidirect
600. #540	C₂⁴	semidirect
601. #540	C₂⁴	semidirect
602. #539	C₂⁴	semidirect
603. #538	C₂⁴	semidirect
604. #538	C₂⁴	semidirect
605. #538	C₂⁴	semidirect
606. #535	C₂⁴	semidirect
607. #534	C₂⁴	semidirect
608. #533	C₂⁴	semidirect
609. #532	C₂⁴	semidirect
610. #532	C₂⁴	semidirect
611. #532	C₂⁴	semidirect
612. C₂×C₄⋊Q₈	C₂⁴	semidirect
613. C₂×C₄⋊Q₈	C₂⁴	semidirect
614. C₂×C₄⋊Q₈	C₂⁴	semidirect
617. C₂×#127	C₂⁴	semidirect
618. C₂×#127	C₂⁴	semidirect
619. #529	C₂⁴	semidirect
620. #529	C₂⁴	semidirect
621. #529	C₂⁴	semidirect
622. #529	C₂⁴	semidirect
623. C₂×#126	C₂⁴	semidirect
624. C₂×#126	C₂⁴	semidirect
625. C₂×#126	C₂⁴	semidirect
626. C₂×#126	C₂⁴	semidirect
627. C₂×#126	C₂⁴	semidirect
628. C₂×#125	C₂⁴	semidirect
629. C₂×#125	C₂⁴	semidirect
630. C₂×#125	C₂⁴	semidirect
631. C₂×#125	C₂⁴	semidirect
633. C₂×#124	C₂⁴	semidirect
634. C₂×#124	C₂⁴	semidirect
635. C₂×#124	C₂⁴	semidirect
636. C₂×#124	C₂⁴	semidirect
637. C₂×#124	C₂⁴	semidirect
638. C₂×#124	C₂⁴	semidirect
639. C₂×#124	C₂⁴	semidirect
640. #525	C₂⁴	semidirect
641. #525	C₂⁴	semidirect
642. #525	C₂⁴	semidirect
643. #525	C₂⁴	semidirect
646. C₂×#123	C₂⁴	semidirect
647. C₂×#123	C₂⁴	semidirect
648. C₂×#123	C₂⁴	semidirect
649. C₂×#123	C₂⁴	semidirect
650. C₂×#123	C₂⁴	semidirect
651. C₂×#123	C₂⁴	semidirect
652. C₂×#123	C₂⁴	semidirect
653. C₂×#123	C₂⁴	semidirect
654. C₂×#123	C₂⁴	semidirect
655. C₂×#123	C₂⁴	semidirect
659. C₂×C₂²⋊Q₈	C₂⁴	semidirect
660. C₂×C₂²⋊Q₈	C₂⁴	semidirect
661. C₂×C₂²⋊Q₈	C₂⁴	semidirect
662. C₂×C₂²⋊Q₈	C₂⁴	semidirect
663. C₂×C₂²⋊Q₈	C₂⁴	semidirect
664. C₂×C₂²⋊Q₈	C₂⁴	semidirect
665. C₂×C₂²⋊Q₈	C₂⁴	semidirect
666. C₂×C₂²⋊Q₈	C₂⁴	semidirect
667. C₂×C₂²⋊Q₈	C₂⁴	semidirect
668. C₂×C₂²⋊Q₈	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
682. C₂×#121	C₂⁴	semidirect
683. C₂×#121	C₂⁴	semidirect
684. C₂×#121	C₂⁴	semidirect
685. C₂×#121	C₂⁴	semidirect
686. C₂×#121	C₂⁴	semidirect
687. C₂×#121	C₂⁴	semidirect
688. C₂×#121	C₂⁴	semidirect
689. C₂×#121	C₂⁴	semidirect
690. C₂×#121	C₂⁴	semidirect
691. C₂×#121	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. #520	C₂⁴	semidirect
702. #520	C₂⁴	semidirect
705. #518	C₂⁴	semidirect
706. #518	C₂⁴	semidirect
707. #518	C₂⁴	semidirect
708. #518	C₂⁴	semidirect
709. #518	C₂⁴	semidirect
710. #518	C₂⁴	semidirect
711. C₄×#41	C₂⁴	semidirect
712. C₄×#41	C₂⁴	semidirect
713. C₄×#41	C₂⁴	semidirect
714. C₂×C₄×Q₈	C₂⁴	semidirect
715. C₂×C₄×Q₈	C₂⁴	semidirect
716. C₂×C₄×Q₈	C₂⁴	semidirect
717. C₂×C₄×Q₈	C₂⁴	semidirect
718. C₂×C₄×Q₈	C₂⁴	semidirect
719. C₂×C₄×Q₈	C₂⁴	semidirect
734. C₂×C₄×D₄	C₂⁴	semidirect
735. C₂×C₄×D₄	C₂⁴	semidirect
736. C₂×C₄×D₄	C₂⁴	semidirect
737. C₂×C₄×D₄	C₂⁴	semidirect
738. C₂×C₄×D₄	C₂⁴	semidirect
739. C₂×C₄×D₄	C₂⁴	semidirect
740. C₂×C₄×D₄	C₂⁴	semidirect
741. C₂×C₄×D₄	C₂⁴	semidirect
742. C₂×C₄×D₄	C₂⁴	semidirect
743. C₂×C₄×D₄	C₂⁴	semidirect
744. C₂×C₄×D₄	C₂⁴	semidirect
745. C₂×C₄×D₄	C₂⁴	semidirect
746. C₂×C₄×D₄	C₂⁴	semidirect
747. C₂×C₄×D₄	C₂⁴	semidirect
748. C₂×C₄×D₄	C₂⁴	semidirect
749. C₂×C₄×D₄	C₂⁴	semidirect
750. C₂×C₄×D₄	C₂⁴	semidirect
751. C₂×C₄×D₄	C₂⁴	semidirect
752. C₂×C₄×D₄	C₂⁴	semidirect
753. C₂×C₄×D₄	C₂⁴	semidirect
754. C₂×C₄×D₄	C₂⁴	semidirect
755. C₂×C₄×D₄	C₂⁴	semidirect
756. C₂×C₄×D₄	C₂⁴	semidirect
757. C₂×C₄×D₄	C₂⁴	semidirect
758. C₂×C₄×D₄	C₂⁴	semidirect
759. C₂×C₄×D₄	C₂⁴	semidirect
760. C₂×C₄×D₄	C₂⁴	semidirect
761. C₂×C₄×D₄	C₂⁴	semidirect
765. C₂×#117	C₂⁴	semidirect
766. C₂×#117	C₂⁴	semidirect
767. C₂×#117	C₂⁴	semidirect
768. C₂×#117	C₂⁴	semidirect
769. C₂×#117	C₂⁴	semidirect
770. C₂×#117	C₂⁴	semidirect
771. C₂×#117	C₂⁴	semidirect
772. C₂×#117	C₂⁴	semidirect
773. C₂×#117	C₂⁴	semidirect
774. C₂×#117	C₂⁴	semidirect
797. C₂²×C₄⋊C₄	C₂⁴	semidirect
798. C₂²×C₄⋊C₄	C₂⁴	semidirect
799. C₂²×C₄⋊C₄	C₂⁴	semidirect
800. C₂²×C₄⋊C₄	C₂⁴	semidirect
801. C₂²×C₄⋊C₄	C₂⁴	semidirect
802. C₂²×C₄⋊C₄	C₂⁴	semidirect
831. C₂²×C₂²⋊C₄	C₂⁴	semidirect
832. C₂²×C₂²⋊C₄	C₂⁴	semidirect
833. C₂²×C₂²⋊C₄	C₂⁴	semidirect
834. C₂²×C₂²⋊C₄	C₂⁴	semidirect
835. C₂²×C₂²⋊C₄	C₂⁴	semidirect
836. C₂²×C₂²⋊C₄	C₂⁴	semidirect
837. C₂²×C₂²⋊C₄	C₂⁴	semidirect
838. C₂²×C₂²⋊C₄	C₂⁴	semidirect
839. C₂²×C₂²⋊C₄	C₂⁴	semidirect
850. C₂²×C₄²	C₂⁴	semidirect
851. C₂²×C₄²	C₂⁴	semidirect
852. C₂²×C₄²	C₂⁴	semidirect
874. C₂⁵	C₂×#41	semidirect
899. C₂×#41	C₂⁵	semidirect
900. C₂×#41	C₂⁵	semidirect
901. C₂×#41	C₂⁵	semidirect
911. C₂²×Q₈	C₂⁵	semidirect
945. C₂²×D₄	C₂×#41	semidirect
946. C₂²×D₄	C₂×#41	semidirect
947. C₂²×D₄	H(5,𝔽₂)	semidirect
980. C₂²×D₄	C₂⁵	semidirect
981. C₂²×D₄	C₂⁵	semidirect
1008. C₂³×C₄	C₂×#41	semidirect
1044. C₂³×C₄	C₂⁵	semidirect
1045. C₂³×C₄	C₂⁵	semidirect
1046. C₂³×C₄	C₂⁵	semidirect
1047. C₄⋊Q₈	C₂⁵	semidirect
1048. C₄⋊Q₈	C₂⁵	semidirect
1049. C₄⋊Q₈	C₂⁵	semidirect
1052. #127	C₂⁵	semidirect
1053. #126	C₂⁵	semidirect
1054. #126	C₂⁵	semidirect
1055. #126	C₂⁵	semidirect
1056. #126	C₂⁵	semidirect
1057. #126	C₂⁵	semidirect
1058. #125	C₂⁵	semidirect
1059. #125	C₂⁵	semidirect
1060. #125	C₂⁵	semidirect
1061. #125	C₂⁵	semidirect
1063. #124	C₂⁵	semidirect
1064. #124	C₂⁵	semidirect
1065. #124	C₂⁵	semidirect
1066. #124	C₂⁵	semidirect
1067. #124	C₂⁵	semidirect
1068. #124	C₂⁵	semidirect
1071. #123	C₂⁵	semidirect
1072. #123	C₂⁵	semidirect
1073. #123	C₂⁵	semidirect
1074. #123	C₂⁵	semidirect
1075. #123	C₂⁵	semidirect
1076. #123	C₂⁵	semidirect
1077. #123	C₂⁵	semidirect
1078. #123	C₂⁵	semidirect
1079. #123	C₂⁵	semidirect
1083. C₂²⋊Q₈	C₂⁵	semidirect
1084. C₂²⋊Q₈	C₂⁵	semidirect
1085. C₂²⋊Q₈	C₂⁵	semidirect
1086. C₂²⋊Q₈	C₂⁵	semidirect
1087. C₂²⋊Q₈	C₂⁵	semidirect
1088. C₂²⋊Q₈	C₂⁵	semidirect
1089. C₂²⋊Q₈	C₂⁵	semidirect
1090. C₂²⋊Q₈	C₂⁵	semidirect
1091. C₂²⋊Q₈	C₂⁵	semidirect
1098. #121	C₂⁵	semidirect
1099. #121	C₂⁵	semidirect
1100. #121	C₂⁵	semidirect
1101. #121	C₂⁵	semidirect
1102. #121	C₂⁵	semidirect
1103. #121	C₂⁵	semidirect
1104. #121	C₂⁵	semidirect
1105. #121	C₂⁵	semidirect
1106. #121	C₂⁵	semidirect
1107. #121	C₂⁵	semidirect
1108. #121	C₂⁵	semidirect
1109. #121	C₂⁵	semidirect
1110. #121	C₂⁵	semidirect
1115. #120	C₂⁵	semidirect
1116. #120	C₂⁵	semidirect
1117. #120	C₂⁵	semidirect
1118. C₄×Q₈	C₂⁵	semidirect
1119. C₄×Q₈	C₂⁵	semidirect
1120. C₄×Q₈	C₂⁵	semidirect
1121. C₄×Q₈	C₂⁵	semidirect
1122. C₄×Q₈	C₂⁵	semidirect
1123. C₄×Q₈	C₂⁵	semidirect
1137. C₄×D₄	C₂⁵	semidirect
1138. C₄×D₄	C₂⁵	semidirect
1139. C₄×D₄	C₂⁵	semidirect
1140. C₄×D₄	C₂⁵	semidirect
1141. C₄×D₄	C₂⁵	semidirect
1142. C₄×D₄	C₂⁵	semidirect
1143. C₄×D₄	C₂⁵	semidirect
1144. C₄×D₄	C₂⁵	semidirect
1145. C₄×D₄	C₂⁵	semidirect
1146. C₄×D₄	C₂⁵	semidirect
1147. C₄×D₄	C₂⁵	semidirect
1148. C₄×D₄	C₂⁵	semidirect
1149. C₄×D₄	C₂⁵	semidirect
1150. C₄×D₄	C₂⁵	semidirect
1151. C₄×D₄	C₂⁵	semidirect
1152. C₄×D₄	C₂⁵	semidirect
1153. C₄×D₄	C₂⁵	semidirect
1154. C₄×D₄	C₂⁵	semidirect
1155. C₄×D₄	C₂⁵	semidirect
1156. C₄×D₄	C₂⁵	semidirect
1157. C₄×D₄	C₂⁵	semidirect
1158. C₄×D₄	C₂⁵	semidirect
1162. #117	C₂⁵	semidirect
1163. #117	C₂⁵	semidirect
1164. #117	C₂⁵	semidirect
1165. #117	C₂⁵	semidirect
1166. #117	C₂⁵	semidirect
1167. #117	C₂⁵	semidirect
1168. #117	C₂⁵	semidirect
1169. #117	C₂⁵	semidirect
1170. #117	C₂⁵	semidirect
1193. C₂×C₄⋊C₄	C₂⁵	semidirect
1194. C₂×C₄⋊C₄	C₂⁵	semidirect
1195. C₂×C₄⋊C₄	C₂⁵	semidirect
1196. C₂×C₄⋊C₄	C₂⁵	semidirect
1197. C₂×C₄⋊C₄	C₂⁵	semidirect
1198. C₂×C₄⋊C₄	C₂⁵	semidirect
1227. C₂×C₂²⋊C₄	C₂⁵	semidirect
1228. C₂×C₂²⋊C₄	C₂⁵	semidirect
1229. C₂×C₂²⋊C₄	C₂⁵	semidirect
1230. C₂×C₂²⋊C₄	C₂⁵	semidirect
1231. C₂×C₂²⋊C₄	C₂⁵	semidirect
1232. C₂×C₂²⋊C₄	C₂⁵	semidirect
1233. C₂×C₂²⋊C₄	C₂⁵	semidirect
1234. C₂×C₂²⋊C₄	C₂⁵	semidirect
1245. C₂×C₄²	C₂⁵	semidirect
1246. C₂×C₄²	C₂⁵	semidirect
1247. C₂×C₄²	C₂⁵	semidirect
1292. C₂⁴	C₂²×#41	semidirect
1353. C₂×D₄	C₂²×#41	semidirect
1354. C₂×D₄	C₂²×#41	semidirect
1355. C₂×D₄	C₂×H(5,𝔽₂)	semidirect
1410. C₂²×C₄	C₂²×#41	semidirect
1543. C₂³	C₂³×#41	semidirect
1574. D₄	C₂³×#41	semidirect
1575. D₄	C₂²×H(5,𝔽₂)	semidirect
1607. C₂×C₄	C₂³×#41	semidirect
1647. C₂²	#62983	direct (N × H)
1672. C₂	C₂×#62983	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×#62983	2
C₂²×#3508	2
C₂²×#3494	2
C₂²×#3514	2
C₂²×#3519	2
C₂²×#3513	2
C₂²×#3505	2
C₂²×#3490	2
C₂²×#3501	2
C₂²×#3484	2
C₂²×#3481	2
C₂²×#3475	2
C₂²×D₄×#41	2
C₂³×#546	2
C₂³×D₄²	2
C₂²×C₄×H(5,𝔽₂)	2
C₂³×#518	2

Subgroups — C22×#62983 #72295847

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#62983 #72295847