Subgroups — C₂²×#62846 #72299717

Order 1024.

481237 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#62846	C₂	1	192	yes	maximal, direct product factor
2	C₂²×#3521	C₂	1	8	yes	maximal, complemented
3	C₂²×#3514	C₂	1	8	yes	maximal, complemented
4	C₂²×#3493	C₂	1	2	yes	maximal, complemented
5	C₂²×#3519	C₂	1	8	yes	maximal, complemented
6	C₂²×#3513	C₂	1	8	yes	maximal, complemented
7	C₂²×#3506	C₂	1	2	yes	maximal, complemented
8	C₂²×#3505	C₂	1	4	yes	maximal, complemented
9	C₂²×#3490	C₂	1	4	yes	maximal, complemented
10	C₂²×#3501	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂²×#3496	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#3484	C₂	1	2	yes	maximal, complemented
13	C₂²×#3455	C₂	1	2	yes	maximal, complemented
14	C₂²×#3460	C₂	1	2	yes	maximal, complemented
15	C₂²×#3459	C₂	1	4	yes	maximal, complemented
16	C₂³×#538	C₂	1	4	yes	maximal, complemented
17	C₂²×C₄×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
18	C₂³×#518	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂³×H(5,𝔽₂)	C₂²	1	2	yes	—
20	C₂⁵×D₄	C₂²	1	1	yes	characteristic
21	#62846	C₂²	1	4096	yes	direct product factor
22	C₂×#3521	C₂²	1	768	yes	complemented
23	C₂×#3514	C₂²	1	768	yes	complemented
24	C₂×#3493	C₂²	1	192	yes	complemented
25	C₂×#3519	C₂²	1	768	yes	complemented
26	C₂×#3513	C₂²	1	768	yes	complemented
27	C₂×#3506	C₂²	1	192	yes	complemented
28	C₂×#3505	C₂²	1	384	yes	complemented
29	C₂×#3490	C₂²	1	384	yes	complemented
30	C₂×#3501	C₂²	1	96	yes	complemented
31	C₂×#3496	C₂²	1	96	yes	complemented
32	C₂×#3484	C₂²	1	192	yes	complemented
33	C₂²×#559	C₂²	1	8	yes	complemented
34	C₂²×#555	C₂²	1	8	yes	complemented
35	C₂²×#555	C₂²	1	4	yes	complemented
36	C₂²×#556	C₂²	1	8	yes	complemented
37	C₂²×#556	C₂²	1	4	yes	complemented
38	C₂²×#553	C₂²	1	8	yes	complemented
39	C₂²×#553	C₂²	1	8	yes	complemented
40	C₂²×#553	C₂²	1	16	yes	complemented
41	C₂²×#553	C₂²	1	8	yes	complemented
42	C₂²×#552	C₂²	1	8	yes	complemented
43	C₂²×#552	C₂²	1	8	yes	complemented
44	C₂²×#551	C₂²	1	16	yes	complemented
45	C₂²×#551	C₂²	1	16	yes	complemented
46	C₂²×#551	C₂²	1	16	yes	complemented
47	C₂²×#554	C₂²	1	4	yes	complemented
48	C₂²×#554	C₂²	1	8	yes	complemented
49	C₂²×#550	C₂²	1	4	yes	complemented
50	C₂²×#547	C₂²	1	4	yes	complemented
51	C₂²×#547	C₂²	1	4	yes	complemented
52	C₂²×#548	C₂²	1	8	yes	complemented
53	C₂²×#546	C₂²	1	8	yes	complemented
54	C₂²×#546	C₂²	1	8	yes	complemented
55	C₂²×#546	C₂²	1	8	yes	complemented
56	C₂²×#546	C₂²	1	16	yes	complemented
57	C₂²×#546	C₂²	1	16	yes	complemented
58	C₂²×#546	C₂²	1	8	yes	complemented
59	C₂²×D₄×Q₈	C₂²	1	4	yes	complemented
60	C₂²×D₄²	C₂²	1	8	yes	complemented
61	C₂²×D₄²	C₂²	1	8	yes	complemented
62	C₂²×D₄²	C₂²	1	4	yes	complemented
63	C₂×#3455	C₂²	1	192	yes	complemented
64	C₂²×#541	C₂²	1	4	yes	complemented
65	C₂×#3460	C₂²	1	192	yes	complemented
66	C₂²×#542	C₂²	1	4	yes	complemented
67	C₂²×#542	C₂²	1	4	yes	complemented
68	C₂²×#542	C₂²	1	8	yes	complemented
69	C₂²×#540	C₂²	1	4	yes	complemented
70	C₂²×#540	C₂²	1	8	yes	complemented
71	C₂²×#544	C₂²	1	2	yes	complemented
72	C₂²×#537	C₂²	1	2	yes	complemented
73	C₂²×#535	C₂²	1	4	yes	complemented
74	C₂×#3459	C₂²	1	384	yes	complemented
75	C₂²×#539	C₂²	1	4	yes	complemented
76	C₂²×#539	C₂²	1	4	yes	complemented
77	C₂²×#539	C₂²	1	16	yes	complemented
78	C₂²×#538	C₂²	1	4	yes	complemented
79	C₂²×#538	C₂²	1	8	yes	complemented
80	C₂²×#538	C₂²	1	4	yes	complemented
81	C₂²×#538	C₂²	1	8	yes	complemented
82	C₂²×#538	C₂²	1	8	yes	complemented
83	C₂²×#538	C₂²	1	16	yes	complemented
84	C₂²×#538	C₂²	1	16	yes	complemented
85	C₂²×#538	C₂²	1	16	yes	complemented
86	C₂²×#538	C₂²	1	384	yes	complemented
87	C₂²×#543	C₂²	1	4	yes	complemented
88	C₂²×#534	C₂²	1	8	yes	complemented
89	C₂²×#534	C₂²	1	4	yes	complemented
90	C₂²×#533	C₂²	1	2	yes	complemented
91	C₂²×#532	C₂²	1	2	yes	complemented
92	C₂²×#532	C₂²	1	8	yes	complemented
93	C₂²×#529	C₂²	1	8	yes	complemented
94	C₂²×#529	C₂²	1	8	yes	complemented
95	C₂²×#529	C₂²	1	8	yes	complemented
96	C₂²×#529	C₂²	1	16	yes	complemented
97	C₂²×#529	C₂²	1	8	yes	complemented
98	C₂³×#126	C₂²	1	8	yes	complemented
99	C₂³×#124	C₂²	1	8	yes	complemented
100	C₂²×#525	C₂²	1	4	yes	complemented
101	C₂²×#525	C₂²	1	8	yes	complemented
102	C₂²×#525	C₂²	1	8	yes	complemented
103	C₂²×#525	C₂²	1	16	yes	complemented
104	C₂³×#123	C₂²	1	8	yes	complemented
105	C₂³×C₂²⋊Q₈	C₂²	1	4	yes	complemented
106	C₂³×#121	C₂²	1	4	yes	complemented
107	C₂³×#121	C₂²	1	8	yes	complemented
108	C₂³×#120	C₂²	1	8	yes	complemented
109	C₂×C₄×H(5,𝔽₂)	C₂²	1	192	yes	complemented
110	C₂²×#520	C₂²	1	4	yes	complemented
111	C₂²×#520	C₂²	1	8	yes	complemented
112	C₂²×#518	C₂²	1	2	yes	—
113	C₂²×#518	C₂²	1	8	yes	complemented
114	C₂²×#518	C₂²	1	8	yes	complemented
115	C₂²×#518	C₂²	1	8	yes	complemented
116	C₂²×#518	C₂²	1	96	yes	complemented
117	C₂²×#518	C₂²	1	8	yes	complemented
118	C₂²×C₄×#41	C₂²	1	4	yes	complemented
119	C₂²×C₄×#41	C₂²	1	8	yes	complemented
120	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
121	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
122	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
123	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
124	C₂³×C₄×D₄	C₂²	1	2	yes	complemented
125	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
126	C₂³×C₄×D₄	C₂²	1	8	yes	complemented
127	C₂³×C₄×D₄	C₂²	1	8	yes	complemented
128	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
129	C₂³×#117	C₂²	1	1	yes	characteristic, complemented
130	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	complemented
131	C₂⁴×C₂²⋊C₄	C₂²	1	2	yes	complemented
132	C₂⁷	C₂³	1	2	yes	—
133	C₂²×H(5,𝔽₂)	—	2	64	no	—
134	C₂²×H(5,𝔽₂)	C₂³	1	96	yes	—
135	C₂³×#41	C₂³	1	4	yes	—
136	C₂³×#41	C₂³	1	8	yes	—
137	C₂³×#41	C₂³	1	8	yes	complemented
138	C₂³×#41	C₂³	1	8	yes	complemented
139	C₂⁴×Q₈	C₂³	1	4	yes	complemented
140	C₂⁴×D₄	—	2	32	no	—
141	C₂⁴×D₄	C₂³	1	48	yes	—
142	C₂⁴×D₄	C₂³	1	2	yes	—
143	C₂⁴×D₄	C₂³	1	1	yes	characteristic
144	C₂⁴×D₄	C₂³	1	8	yes	—
145	C₂⁴×D₄	C₂³	1	8	yes	—
146	C₂⁴×D₄	C₂³	1	8	yes	—
147	C₂⁴×D₄	C₂³	1	8	yes	—
148	C₂⁴×D₄	C₂³	1	8	yes	—
149	C₂⁴×D₄	C₂³	1	1	yes	characteristic
150	C₂⁴×D₄	C₂³	1	4	yes	complemented
151	C₂⁵×C₄	C₂³	1	1	yes	characteristic
152	C₂⁵×C₄	C₂³	1	2	yes	—
153	C₂⁵×C₄	C₂³	1	2	yes	—
154	C₂⁵×C₄	C₂³	1	2	yes	—
155	C₂⁵×C₄	C₂³	1	2	yes	—
156	C₂⁵×C₄	C₂³	1	8	yes	complemented
157	#3521	C₂³	1	8192	yes	complemented
158	#3519	C₂³	1	8192	yes	complemented
159	#3514	C₂³	1	8192	yes	complemented
160	#3513	C₂³	1	8192	yes	complemented
161	#3506	C₂³	1	2048	yes	complemented
162	#3505	C₂³	1	4096	yes	complemented
163	#3501	C₂³	1	1024	yes	complemented
164	#3496	C₂³	1	1024	yes	complemented
165	#3493	C₂³	1	2048	yes	complemented
166	#3490	C₂³	1	4096	yes	complemented
167	#3484	C₂³	1	2048	yes	complemented
168	C₂×#559	C₂³	1	384	yes	complemented
169	C₂×#556	C₂³	1	384	yes	complemented
170	C₂×#556	C₂³	1	192	yes	complemented
171	C₂×#555	C₂³	1	384	yes	complemented
172	C₂×#555	C₂³	1	192	yes	complemented
173	C₂×#554	C₂³	1	192	yes	complemented
174	C₂×#554	C₂³	1	384	yes	complemented
175	C₂×#553	C₂³	1	384	yes	complemented
176	C₂×#553	C₂³	1	384	yes	complemented
177	C₂×#553	C₂³	1	768	yes	complemented
178	C₂×#553	C₂³	1	384	yes	complemented
179	C₂×#552	C₂³	1	384	yes	complemented
180	C₂×#552	C₂³	1	384	yes	complemented
181	C₂×#551	C₂³	1	768	yes	complemented
182	C₂×#551	C₂³	1	768	yes	complemented
183	C₂×#551	C₂³	1	768	yes	complemented
184	C₂×#550	C₂³	1	192	yes	complemented
185	C₂×D₄×Q₈	C₂³	1	192	yes	complemented
186	C₂×#548	C₂³	1	384	yes	complemented
187	C₂×#547	C₂³	1	192	yes	complemented
188	C₂×#547	C₂³	1	192	yes	complemented
189	C₂×#546	C₂³	1	384	yes	complemented
190	C₂×#546	C₂³	1	384	yes	complemented
191	C₂×#546	C₂³	1	768	yes	complemented
192	C₂×#546	C₂³	1	768	yes	complemented
193	C₂×#546	C₂³	1	384	yes	complemented
194	C₂×#546	C₂³	1	384	yes	complemented
195	C₂×D₄²	C₂³	1	384	yes	complemented
196	C₂×D₄²	C₂³	1	384	yes	complemented
197	C₂×D₄²	C₂³	1	192	yes	complemented
198	#3460	C₂³	1	2048	yes	complemented
199	#3459	C₂³	1	4096	yes	complemented
200	C₂×#544	C₂³	1	96	yes	complemented
201	C₂×#543	C₂³	1	192	yes	complemented
202	#3455	C₂³	1	2048	yes	complemented
203	C₂×#542	C₂³	1	192	yes	complemented
204	C₂×#542	C₂³	1	192	yes	complemented
205	C₂×#542	C₂³	1	384	yes	complemented
206	C₂×#541	C₂³	1	192	yes	complemented
207	C₂×#540	C₂³	1	192	yes	complemented
208	C₂×#540	C₂³	1	384	yes	complemented
209	C₂×#539	C₂³	1	192	yes	complemented
210	C₂×#539	C₂³	1	192	yes	complemented
211	C₂×#539	C₂³	1	768	yes	complemented
212	C₂×#538	C₂³	1	192	yes	complemented
213	C₂×#538	C₂³	1	384	yes	complemented
214	C₂×#538	C₂³	1	192	yes	complemented
215	C₂×#538	C₂³	1	384	yes	complemented
216	C₂×#538	C₂³	1	384	yes	complemented
217	C₂×#538	C₂³	1	768	yes	complemented
218	C₂×#538	C₂³	1	768	yes	complemented
219	C₂×#538	C₂³	1	768	yes	complemented
220	C₂×#538	C₂³	1	4096	yes	complemented
221	C₂×#537	C₂³	1	96	yes	complemented
222	C₂×#535	C₂³	1	192	yes	complemented
223	C₂×#534	C₂³	1	384	yes	complemented
224	C₂×#534	C₂³	1	192	yes	complemented
225	C₂×#533	C₂³	1	96	yes	complemented
226	C₂×#532	C₂³	1	384	yes	complemented
227	C₂×#532	C₂³	1	96	yes	complemented
228	C₂²×C₄⋊Q₈	C₂³	1	8	yes	complemented
229	C₂²×C₄⋊Q₈	C₂³	1	2	yes	complemented
230	C₂²×C₄⋊Q₈	C₂³	1	2	yes	complemented
231	C₂²×C₄⋊Q₈	C₂³	1	2	yes	complemented
232	C₂²×#127	C₂³	1	8	yes	—
233	C₂²×#127	C₂³	1	2	yes	complemented
234	C₂×#529	C₂³	1	384	yes	complemented
235	C₂×#529	C₂³	1	384	yes	complemented
236	C₂×#529	C₂³	1	384	yes	complemented
237	C₂×#529	C₂³	1	768	yes	complemented
238	C₂×#529	C₂³	1	384	yes	complemented
239	C₂²×#126	C₂³	1	8	yes	—
240	C₂²×#126	C₂³	1	16	yes	—
241	C₂²×#126	C₂³	1	8	yes	—
242	C₂²×#126	C₂³	1	16	yes	complemented
243	C₂²×#126	C₂³	1	16	yes	complemented
244	C₂²×#126	C₂³	1	8	yes	complemented
245	C₂²×#126	C₂³	1	16	yes	complemented
246	C₂²×#126	C₂³	1	8	yes	complemented
247	C₂²×#126	C₂³	1	384	yes	complemented
248	C₂²×#125	C₂³	1	8	yes	complemented
249	C₂²×#125	C₂³	1	8	yes	complemented
250	C₂²×#125	C₂³	1	8	yes	complemented
251	C₂²×#125	C₂³	1	8	yes	complemented
252	C₂²×#125	C₂³	1	4	yes	complemented
253	C₂²×#124	C₂³	1	8	yes	—
254	C₂²×#124	C₂³	1	16	yes	—
255	C₂²×#124	C₂³	1	8	yes	—
256	C₂²×#124	C₂³	1	8	yes	—
257	C₂²×#124	C₂³	1	16	yes	complemented
258	C₂²×#124	C₂³	1	16	yes	complemented
259	C₂²×#124	C₂³	1	8	yes	complemented
260	C₂²×#124	C₂³	1	4	yes	complemented
261	C₂²×#124	C₂³	1	384	yes	complemented
262	C₂×#525	C₂³	1	192	yes	complemented
263	C₂×#525	C₂³	1	384	yes	complemented
264	C₂×#525	C₂³	1	384	yes	complemented
265	C₂×#525	C₂³	1	768	yes	complemented
266	C₂²×#123	C₂³	1	8	yes	—
267	C₂²×#123	C₂³	1	16	yes	—
268	C₂²×#123	C₂³	1	8	yes	—
269	C₂²×#123	C₂³	1	16	yes	—
270	C₂²×#123	C₂³	1	8	yes	—
271	C₂²×#123	C₂³	1	16	yes	complemented
272	C₂²×#123	C₂³	1	16	yes	complemented
273	C₂²×#123	C₂³	1	8	yes	complemented
274	C₂²×#123	C₂³	1	16	yes	complemented
275	C₂²×#123	C₂³	1	16	yes	complemented
276	C₂²×#123	C₂³	1	16	yes	complemented
277	C₂²×#123	C₂³	1	8	yes	complemented
278	C₂²×#123	C₂³	1	384	yes	complemented
279	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
280	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	—
281	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
282	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
283	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
285	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
286	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
287	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	complemented
288	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
289	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
290	C₂²×C₂²⋊Q₈	C₂³	1	16	yes	complemented
291	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
292	C₂²×C₂²⋊Q₈	C₂³	1	8	yes	complemented
293	C₂²×C₂²⋊Q₈	C₂³	1	192	yes	complemented
294	C₂²×#121	C₂³	1	8	yes	—
295	C₂²×#121	C₂³	1	4	yes	—
296	C₂²×#121	C₂³	1	8	yes	—
297	C₂²×#121	C₂³	1	16	yes	—
298	C₂²×#121	C₂³	1	4	yes	—
299	C₂²×#121	C₂³	1	16	yes	—
300	C₂²×#121	C₂³	1	4	yes	—
301	C₂²×#121	C₂³	1	4	yes	—
302	C₂²×#121	C₂³	1	16	yes	—
303	C₂²×#121	C₂³	1	8	yes	—
304	C₂²×#121	C₂³	1	8	yes	—
305	C₂²×#121	C₂³	1	8	yes	—
306	C₂²×#121	C₂³	1	16	yes	complemented
307	C₂²×#121	C₂³	1	8	yes	complemented
308	C₂²×#121	C₂³	1	8	yes	complemented
309	C₂²×#121	C₂³	1	16	yes	complemented
310	C₂²×#121	C₂³	1	8	yes	complemented
311	C₂²×#121	C₂³	1	8	yes	complemented
312	C₂²×#121	C₂³	1	8	yes	complemented
313	C₂²×#121	C₂³	1	384	yes	complemented
314	C₂²×#121	C₂³	1	192	yes	complemented
315	C₂²×#120	C₂³	1	8	yes	—
316	C₂²×#120	C₂³	1	16	yes	—
317	C₂²×#120	C₂³	1	16	yes	—
318	C₂²×#120	C₂³	1	16	yes	—
319	C₂²×#120	C₂³	1	16	yes	—
320	C₂²×#120	C₂³	1	384	yes	complemented
321	C₂²×#120	C₂³	1	16	yes	complemented
322	C₄×H(5,𝔽₂)	C₂³	1	2048	yes	complemented
323	C₂×#520	C₂³	1	192	yes	complemented
324	C₂×#520	C₂³	1	384	yes	complemented
325	C₂×#518	C₂³	1	96	yes	—
326	C₂×#518	C₂³	1	384	yes	complemented
327	C₂×#518	C₂³	1	384	yes	complemented
328	C₂×#518	C₂³	1	384	yes	complemented
329	C₂×#518	C₂³	1	384	yes	complemented
330	C₂×#518	C₂³	1	1024	yes	complemented
331	C₂×C₄×#41	C₂³	1	192	yes	complemented
332	C₂×C₄×#41	C₂³	1	384	yes	complemented
333	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
334	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
335	C₂²×C₄×Q₈	C₂³	1	8	yes	complemented
336	C₂²×C₄×Q₈	C₂³	1	8	yes	complemented
337	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
338	C₂²×C₄×Q₈	C₂³	1	4	yes	complemented
339	C₂²×C₄×D₄	C₂³	1	48	yes	—
340	C₂²×C₄×D₄	C₂³	1	8	yes	—
341	C₂²×C₄×D₄	C₂³	1	48	yes	—
342	C₂²×C₄×D₄	C₂³	1	4	yes	—
343	C₂²×C₄×D₄	C₂³	1	4	yes	—
344	C₂²×C₄×D₄	C₂³	1	8	yes	—
345	C₂²×C₄×D₄	C₂³	1	8	yes	—
346	C₂²×C₄×D₄	C₂³	1	16	yes	—
347	C₂²×C₄×D₄	C₂³	1	8	yes	—
348	C₂²×C₄×D₄	C₂³	1	8	yes	—
349	C₂²×C₄×D₄	C₂³	1	8	yes	—
350	C₂²×C₄×D₄	C₂³	1	4	yes	—
351	C₂²×C₄×D₄	C₂³	1	4	yes	—
352	C₂²×C₄×D₄	C₂³	1	16	yes	—
353	C₂²×C₄×D₄	C₂³	1	8	yes	—
354	C₂²×C₄×D₄	C₂³	1	8	yes	—
355	C₂²×C₄×D₄	C₂³	1	8	yes	—
356	C₂²×C₄×D₄	C₂³	1	8	yes	—
357	C₂²×C₄×D₄	C₂³	1	96	yes	complemented
358	C₂²×C₄×D₄	C₂³	1	48	yes	complemented
359	C₂²×C₄×D₄	C₂³	1	96	yes	complemented
360	C₂²×C₄×D₄	C₂³	1	48	yes	complemented
361	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
362	C₂²×C₄×D₄	C₂³	1	4	yes	complemented
363	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
364	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
365	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
366	C₂²×C₄×D₄	C₂³	1	4	yes	complemented
367	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
368	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
369	C₂²×C₄×D₄	C₂³	1	8	yes	complemented
370	C₂²×C₄×D₄	C₂³	1	16	yes	complemented
371	C₂²×C₄×D₄	C₂³	1	4	yes	complemented
372	C₂²×C₄×D₄	C₂³	1	4	yes	complemented
373	C₂²×C₄×D₄	C₂³	1	384	yes	complemented
374	C₂²×C₄×D₄	C₂³	1	384	yes	complemented
375	C₂²×#117	C₂³	1	4	yes	—
376	C₂²×#117	C₂³	1	4	yes	—
377	C₂²×#117	C₂³	1	8	yes	—
378	C₂²×#117	C₂³	1	4	yes	—
379	C₂²×#117	C₂³	1	48	yes	complemented
380	C₂²×#117	C₂³	1	48	yes	complemented
381	C₂²×#117	C₂³	1	8	yes	complemented
382	C₂²×#117	C₂³	1	16	yes	complemented
383	C₂²×#117	C₂³	1	8	yes	complemented
384	C₂²×#117	C₂³	1	8	yes	complemented
385	C₂²×#117	C₂³	1	8	yes	complemented
386	C₂²×#117	C₂³	1	16	yes	complemented
387	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
388	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
389	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
390	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
391	C₂³×C₄⋊C₄	C₂³	1	8	yes	complemented
392	C₂³×C₄⋊C₄	C₂³	1	8	yes	complemented
393	C₂³×C₄⋊C₄	C₂³	1	8	yes	complemented
394	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
395	C₂³×C₄⋊C₄	C₂³	1	4	yes	complemented
396	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
397	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
398	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
399	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
400	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
401	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
402	C₂³×C₂²⋊C₄	C₂³	1	2	yes	—
403	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
404	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
405	C₂³×C₂²⋊C₄	C₂³	1	16	yes	—
406	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
407	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
408	C₂³×C₂²⋊C₄	C₂³	1	8	yes	—
409	C₂³×C₂²⋊C₄	C₂³	1	96	yes	complemented
410	C₂³×C₂²⋊C₄	C₂³	1	96	yes	complemented
411	C₂³×C₂²⋊C₄	C₂³	1	8	yes	complemented
412	C₂³×C₂²⋊C₄	C₂³	1	16	yes	complemented
413	C₂³×C₂²⋊C₄	C₂³	1	8	yes	complemented
414	C₂³×C₄²	C₂³	1	1	yes	characteristic
415	C₂³×C₄²	C₂³	1	1	yes	characteristic
416	C₂³×C₄²	C₂³	1	2	yes	—
417	C₂³×C₄²	C₂³	1	8	yes	complemented
418	C₂³×C₄²	C₂³	1	8	yes	complemented
419	C₂⁶	—	2	32	no	—
420	C₂⁶	—	8	8	no	—
421	C₂⁶	—	8	8	no	—
422	C₂⁶	C₂⁴	1	2	yes	—
423	C₂⁶	C₂⁴	1	1	yes	characteristic
424	C₂⁶	C₂⁴	1	8	yes	—
425	C₂⁶	C₂⁴	1	8	yes	—
426	C₂⁶	C₂⁴	1	48	yes	—
427	C₂⁶	C₂⁴	1	2	yes	—
428	C₂×H(5,𝔽₂)	—	2	1536	no	—
429	C₂×H(5,𝔽₂)	C₂⁴	1	512	yes	—
430	C₂²×#41	—	2	128	no	—
431	C₂²×#41	—	2	64	no	—
432	C₂²×#41	—	8	32	no	—
433	C₂²×#41	—	8	32	no	—
434	C₂²×#41	C₂⁴	1	96	yes	—
435	C₂²×#41	C₂⁴	1	192	yes	—
436	C₂²×#41	C₂⁴	1	192	yes	complemented
437	C₂²×#41	C₂⁴	1	192	yes	complemented
438	C₂³×Q₈	—	8	16	no	—
439	C₂³×Q₈	C₂⁴	1	4	yes	—
440	C₂³×Q₈	C₂⁴	1	4	yes	—
441	C₂³×Q₈	C₂⁴	1	8	yes	—
442	C₂³×Q₈	C₂⁴	1	4	yes	—
443	C₂³×Q₈	C₂⁴	1	96	yes	complemented
444	C₂³×D₄	—	2	32	no	—
445	C₂³×D₄	—	2	128	no	—
446	C₂³×D₄	—	2	128	no	—
447	C₂³×D₄	—	2	128	no	—
448	C₂³×D₄	—	2	768	no	—
449	C₂³×D₄	—	2	16	no	—
450	C₂³×D₄	—	8	32	no	—
451	C₂³×D₄	—	8	32	no	—
452	C₂³×D₄	—	8	16	no	—
453	C₂³×D₄	#41	1	32	yes	complemented
454	C₂³×D₄	C₂⁴	1	8	yes	—
455	C₂³×D₄	C₂⁴	1	4	yes	—
456	C₂³×D₄	C₂⁴	1	48	yes	—
457	C₂³×D₄	C₂⁴	1	24	yes	—
458	C₂³×D₄	C₂⁴	1	192	yes	—
459	C₂³×D₄	C₂⁴	1	256	yes	—
460	C₂³×D₄	C₂⁴	1	8	yes	—
461	C₂³×D₄	C₂⁴	1	16	yes	—
462	C₂³×D₄	C₂⁴	1	4	yes	—
463	C₂³×D₄	C₂⁴	1	192	yes	—
464	C₂³×D₄	C₂⁴	1	192	yes	—
465	C₂³×D₄	C₂⁴	1	8	yes	—
466	C₂³×D₄	C₂⁴	1	8	yes	—
467	C₂³×D₄	C₂⁴	1	16	yes	—
468	C₂³×D₄	C₂⁴	1	16	yes	—
469	C₂³×D₄	C₂⁴	1	4	yes	—
470	C₂³×D₄	C₂⁴	1	8	yes	—
471	C₂³×D₄	C₂⁴	1	4	yes	—
472	C₂³×D₄	C₂⁴	1	192	yes	—
473	C₂³×D₄	C₂⁴	1	192	yes	—
474	C₂³×D₄	C₂⁴	1	4	yes	—
475	C₂³×D₄	C₂⁴	1	24	yes	—
476	C₂³×D₄	C₂⁴	1	96	yes	complemented
477	C₂⁴×C₄	—	2	16	no	—
478	C₂⁴×C₄	—	8	8	no	—
479	C₂⁴×C₄	—	8	8	no	—
480	C₂⁴×C₄	—	8	8	no	—
481	C₂⁴×C₄	—	8	8	no	—
482	C₂⁴×C₄	—	8	32	no	—
483	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
484	C₂⁴×C₄	C₂⁴	1	4	yes	—
485	C₂⁴×C₄	C₂⁴	1	24	yes	—
486	C₂⁴×C₄	C₂⁴	1	8	yes	—
487	C₂⁴×C₄	C₂⁴	1	8	yes	—
488	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
489	C₂⁴×C₄	C₂⁴	1	2	yes	—
490	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
491	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
492	C₂⁴×C₄	C₂⁴	1	2	yes	—
493	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
494	C₂⁴×C₄	C₂⁴	1	8	yes	—
495	C₂⁴×C₄	C₂⁴	1	4	yes	—
496	C₂⁴×C₄	C₂⁴	1	4	yes	—
497	C₂⁴×C₄	C₂⁴	1	8	yes	—
498	C₂⁴×C₄	C₂⁴	1	8	yes	—
499	C₂⁴×C₄	C₂⁴	1	8	yes	—
500	C₂⁴×C₄	C₂⁴	1	8	yes	—
501	C₂⁴×C₄	C₂⁴	1	16	yes	—
502	C₂⁴×C₄	C₂⁴	1	8	yes	—
503	C₂⁴×C₄	C₂⁴	1	8	yes	—
504	C₂⁴×C₄	C₂⁴	1	48	yes	—
505	C₂⁴×C₄	C₂⁴	1	48	yes	—
506	C₂⁴×C₄	C₂⁴	1	48	yes	—
507	C₂⁴×C₄	C₂⁴	1	48	yes	—
508	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
509	C₂⁴×C₄	C₂⁴	1	192	yes	complemented
510	#559	C₂⁴	1	2048	yes	complemented
511	#556	C₂⁴	1	2048	yes	complemented
512	#556	C₂⁴	1	1024	yes	complemented
513	#555	C₂⁴	1	2048	yes	complemented
514	#555	C₂⁴	1	1024	yes	complemented
515	#554	C₂⁴	1	1024	yes	complemented
516	#554	C₂⁴	1	2048	yes	complemented
517	#553	C₂⁴	1	2048	yes	complemented
518	#553	C₂⁴	1	2048	yes	complemented
519	#553	C₂⁴	1	4096	yes	complemented
520	#553	C₂⁴	1	2048	yes	complemented
521	#552	C₂⁴	1	2048	yes	complemented
522	#552	C₂⁴	1	2048	yes	complemented
523	#551	C₂⁴	1	4096	yes	complemented
524	#551	C₂⁴	1	4096	yes	complemented
525	#551	C₂⁴	1	4096	yes	complemented
526	#550	C₂⁴	1	1024	yes	complemented
527	D₄×Q₈	C₂⁴	1	1024	yes	complemented
528	#548	C₂⁴	1	2048	yes	complemented
529	#547	C₂⁴	1	1024	yes	complemented
530	#547	C₂⁴	1	1024	yes	complemented
531	#546	C₂⁴	1	2048	yes	complemented
532	#546	C₂⁴	1	2048	yes	complemented
533	#546	C₂⁴	1	4096	yes	complemented
534	#546	C₂⁴	1	4096	yes	complemented
535	#546	C₂⁴	1	2048	yes	complemented
536	#546	C₂⁴	1	2048	yes	complemented
537	D₄²	C₂⁴	1	2048	yes	complemented
538	D₄²	C₂⁴	1	2048	yes	complemented
539	D₄²	C₂⁴	1	1024	yes	complemented
540	#544	C₂⁴	1	512	yes	complemented
541	#543	C₂⁴	1	1024	yes	complemented
542	#542	C₂⁴	1	1024	yes	complemented
543	#542	C₂⁴	1	1024	yes	complemented
544	#542	C₂⁴	1	2048	yes	complemented
545	#541	C₂⁴	1	1024	yes	complemented
546	#540	C₂⁴	1	1024	yes	complemented
547	#540	C₂⁴	1	2048	yes	complemented
548	#539	C₂⁴	1	1024	yes	complemented
549	#539	C₂⁴	1	1024	yes	complemented
550	#539	C₂⁴	1	4096	yes	complemented
551	#538	C₂⁴	1	1024	yes	complemented
552	#538	C₂⁴	1	2048	yes	complemented
553	#538	C₂⁴	1	1024	yes	complemented
554	#538	C₂⁴	1	2048	yes	complemented
555	#538	C₂⁴	1	2048	yes	complemented
556	#538	C₂⁴	1	4096	yes	complemented
557	#538	C₂⁴	1	4096	yes	complemented
558	#538	C₂⁴	1	4096	yes	complemented
559	#537	C₂⁴	1	512	yes	complemented
560	#535	C₂⁴	1	1024	yes	complemented
561	#534	C₂⁴	1	2048	yes	complemented
562	#534	C₂⁴	1	1024	yes	complemented
563	#533	C₂⁴	1	512	yes	complemented
564	#532	C₂⁴	1	512	yes	complemented
565	#532	C₂⁴	1	2048	yes	complemented
566	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	complemented
567	C₂×C₄⋊Q₈	C₂⁴	1	192	yes	complemented
568	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	complemented
569	C₂×C₄⋊Q₈	C₂⁴	1	48	yes	complemented
570	C₂×#127	C₂⁴	1	192	yes	—
571	C₂×#127	C₂⁴	1	48	yes	complemented
572	#529	C₂⁴	1	2048	yes	complemented
573	#529	C₂⁴	1	2048	yes	complemented
574	#529	C₂⁴	1	2048	yes	complemented
575	#529	C₂⁴	1	4096	yes	complemented
576	#529	C₂⁴	1	2048	yes	complemented
577	C₂×#126	C₂⁴	1	192	yes	—
578	C₂×#126	C₂⁴	1	384	yes	—
579	C₂×#126	C₂⁴	1	192	yes	—
580	C₂×#126	C₂⁴	1	384	yes	complemented
581	C₂×#126	C₂⁴	1	384	yes	complemented
582	C₂×#126	C₂⁴	1	192	yes	complemented
583	C₂×#126	C₂⁴	1	384	yes	complemented
584	C₂×#126	C₂⁴	1	192	yes	complemented
585	C₂×#126	C₂⁴	1	2048	yes	complemented
586	C₂×#125	C₂⁴	1	192	yes	complemented
587	C₂×#125	C₂⁴	1	192	yes	complemented
588	C₂×#125	C₂⁴	1	192	yes	complemented
589	C₂×#125	C₂⁴	1	192	yes	complemented
590	C₂×#125	C₂⁴	1	96	yes	complemented
591	C₂×#124	C₂⁴	1	192	yes	—
592	C₂×#124	C₂⁴	1	384	yes	—
593	C₂×#124	C₂⁴	1	192	yes	—
594	C₂×#124	C₂⁴	1	192	yes	—
595	C₂×#124	C₂⁴	1	384	yes	complemented
596	C₂×#124	C₂⁴	1	384	yes	complemented
597	C₂×#124	C₂⁴	1	192	yes	complemented
598	C₂×#124	C₂⁴	1	96	yes	complemented
599	C₂×#124	C₂⁴	1	2048	yes	complemented
600	#525	C₂⁴	1	1024	yes	complemented
601	#525	C₂⁴	1	2048	yes	complemented
602	#525	C₂⁴	1	2048	yes	complemented
603	#525	C₂⁴	1	4096	yes	complemented
604	C₂×#123	C₂⁴	1	192	yes	—
605	C₂×#123	C₂⁴	1	384	yes	—
606	C₂×#123	C₂⁴	1	192	yes	—
607	C₂×#123	C₂⁴	1	384	yes	—
608	C₂×#123	C₂⁴	1	192	yes	—
609	C₂×#123	C₂⁴	1	384	yes	complemented
610	C₂×#123	C₂⁴	1	384	yes	complemented
611	C₂×#123	C₂⁴	1	192	yes	complemented
612	C₂×#123	C₂⁴	1	384	yes	complemented
613	C₂×#123	C₂⁴	1	384	yes	complemented
614	C₂×#123	C₂⁴	1	384	yes	complemented
615	C₂×#123	C₂⁴	1	192	yes	complemented
616	C₂×#123	C₂⁴	1	2048	yes	complemented
617	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
618	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	—
619	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
620	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
621	C₂×C₂²⋊Q₈	C₂⁴	1	96	yes	—
622	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
623	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
624	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
625	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
626	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	complemented
627	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
628	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
629	C₂×C₂²⋊Q₈	C₂⁴	1	384	yes	complemented
630	C₂×C₂²⋊Q₈	C₂⁴	1	192	yes	complemented
631	C₂×C₂²⋊Q₈	C₂⁴	1	1024	yes	complemented
632	C₂×#121	C₂⁴	1	192	yes	—
633	C₂×#121	C₂⁴	1	96	yes	—
634	C₂×#121	C₂⁴	1	192	yes	—
635	C₂×#121	C₂⁴	1	384	yes	—
636	C₂×#121	C₂⁴	1	96	yes	—
637	C₂×#121	C₂⁴	1	384	yes	—
638	C₂×#121	C₂⁴	1	96	yes	—
639	C₂×#121	C₂⁴	1	96	yes	—
640	C₂×#121	C₂⁴	1	384	yes	—
641	C₂×#121	C₂⁴	1	192	yes	—
642	C₂×#121	C₂⁴	1	192	yes	—
643	C₂×#121	C₂⁴	1	192	yes	—
644	C₂×#121	C₂⁴	1	384	yes	complemented
645	C₂×#121	C₂⁴	1	192	yes	complemented
646	C₂×#121	C₂⁴	1	192	yes	complemented
647	C₂×#121	C₂⁴	1	384	yes	complemented
648	C₂×#121	C₂⁴	1	192	yes	complemented
649	C₂×#121	C₂⁴	1	192	yes	complemented
650	C₂×#121	C₂⁴	1	192	yes	complemented
651	C₂×#121	C₂⁴	1	2048	yes	complemented
652	C₂×#121	C₂⁴	1	1024	yes	complemented
653	C₂×#120	C₂⁴	1	192	yes	—
654	C₂×#120	C₂⁴	1	384	yes	—
655	C₂×#120	C₂⁴	1	384	yes	—
656	C₂×#120	C₂⁴	1	384	yes	—
657	C₂×#120	C₂⁴	1	384	yes	—
658	C₂×#120	C₂⁴	1	2048	yes	complemented
659	C₂×#120	C₂⁴	1	384	yes	complemented
660	#520	C₂⁴	1	1024	yes	complemented
661	#520	C₂⁴	1	2048	yes	complemented
662	#518	C₂⁴	1	512	yes	—
663	#518	C₂⁴	1	2048	yes	complemented
664	#518	C₂⁴	1	2048	yes	complemented
665	#518	C₂⁴	1	2048	yes	complemented
666	#518	C₂⁴	1	2048	yes	complemented
667	C₄×#41	C₂⁴	1	1024	yes	complemented
668	C₄×#41	C₂⁴	1	2048	yes	complemented
669	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
670	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
671	C₂×C₄×Q₈	C₂⁴	1	192	yes	complemented
672	C₂×C₄×Q₈	C₂⁴	1	192	yes	complemented
673	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
674	C₂×C₄×Q₈	C₂⁴	1	96	yes	complemented
675	C₂×C₄×D₄	C₂⁴	1	192	yes	—
676	C₂×C₄×D₄	C₂⁴	1	256	yes	—
677	C₂×C₄×D₄	C₂⁴	1	96	yes	—
678	C₂×C₄×D₄	C₂⁴	1	96	yes	—
679	C₂×C₄×D₄	C₂⁴	1	256	yes	—
680	C₂×C₄×D₄	C₂⁴	1	192	yes	—
681	C₂×C₄×D₄	C₂⁴	1	192	yes	—
682	C₂×C₄×D₄	C₂⁴	1	384	yes	—
683	C₂×C₄×D₄	C₂⁴	1	192	yes	—
684	C₂×C₄×D₄	C₂⁴	1	192	yes	—
685	C₂×C₄×D₄	C₂⁴	1	96	yes	—
686	C₂×C₄×D₄	C₂⁴	1	192	yes	—
687	C₂×C₄×D₄	C₂⁴	1	96	yes	—
688	C₂×C₄×D₄	C₂⁴	1	384	yes	—
689	C₂×C₄×D₄	C₂⁴	1	192	yes	—
690	C₂×C₄×D₄	C₂⁴	1	192	yes	—
691	C₂×C₄×D₄	C₂⁴	1	192	yes	—
692	C₂×C₄×D₄	C₂⁴	1	192	yes	—
693	C₂×C₄×D₄	C₂⁴	1	512	yes	complemented
694	C₂×C₄×D₄	C₂⁴	1	256	yes	complemented
695	C₂×C₄×D₄	C₂⁴	1	512	yes	complemented
696	C₂×C₄×D₄	C₂⁴	1	256	yes	complemented
697	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
698	C₂×C₄×D₄	C₂⁴	1	96	yes	complemented
699	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
700	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
701	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
702	C₂×C₄×D₄	C₂⁴	1	96	yes	complemented
703	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
704	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
705	C₂×C₄×D₄	C₂⁴	1	192	yes	complemented
706	C₂×C₄×D₄	C₂⁴	1	384	yes	complemented
707	C₂×C₄×D₄	C₂⁴	1	96	yes	complemented
708	C₂×C₄×D₄	C₂⁴	1	96	yes	complemented
709	C₂×C₄×D₄	C₂⁴	1	2048	yes	complemented
710	C₂×C₄×D₄	C₂⁴	1	2048	yes	complemented
711	C₂×#117	C₂⁴	1	96	yes	—
712	C₂×#117	C₂⁴	1	96	yes	—
713	C₂×#117	C₂⁴	1	192	yes	—
714	C₂×#117	C₂⁴	1	96	yes	—
715	C₂×#117	C₂⁴	1	256	yes	complemented
716	C₂×#117	C₂⁴	1	256	yes	complemented
717	C₂×#117	C₂⁴	1	192	yes	complemented
718	C₂×#117	C₂⁴	1	384	yes	complemented
719	C₂×#117	C₂⁴	1	192	yes	complemented
720	C₂×#117	C₂⁴	1	192	yes	complemented
721	C₂×#117	C₂⁴	1	192	yes	complemented
722	C₂×#117	C₂⁴	1	384	yes	complemented
723	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
725	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
726	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
727	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
728	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
729	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
730	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
731	C₂²×C₄⋊C₄	C₂⁴	1	24	yes	—
732	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
734	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
735	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
737	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₂²×C₄⋊C₄	C₂⁴	1	16	yes	—
739	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
740	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
741	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
743	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
744	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
746	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
747	C₂²×C₄⋊C₄	C₂⁴	1	8	yes	—
748	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	complemented
749	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	complemented
750	C₂²×C₄⋊C₄	C₂⁴	1	192	yes	complemented
751	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
752	C₂²×C₄⋊C₄	C₂⁴	1	96	yes	complemented
753	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
754	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
755	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
756	C₂²×C₂²⋊C₄	C₂⁴	1	2	yes	—
757	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
758	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
759	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
760	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
761	C₂²×C₂²⋊C₄	C₂⁴	1	4	yes	—
762	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
763	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
764	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
765	C₂²×C₂²⋊C₄	C₂⁴	1	24	yes	—
766	C₂²×C₂²⋊C₄	C₂⁴	1	24	yes	—
767	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
768	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
769	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
770	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
771	C₂²×C₂²⋊C₄	C₂⁴	1	48	yes	—
772	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
773	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
774	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	—
775	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
776	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
777	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
778	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
779	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
780	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	—
781	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
782	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
783	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
784	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
785	C₂²×C₂²⋊C₄	C₂⁴	1	16	yes	—
786	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
787	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
788	C₂²×C₂²⋊C₄	C₂⁴	1	8	yes	—
789	C₂²×C₂²⋊C₄	C₂⁴	1	512	yes	complemented
790	C₂²×C₂²⋊C₄	C₂⁴	1	512	yes	complemented
791	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	complemented
792	C₂²×C₂²⋊C₄	C₂⁴	1	384	yes	complemented
793	C₂²×C₂²⋊C₄	C₂⁴	1	192	yes	complemented
794	C₂²×C₄²	C₂⁴	1	4	yes	—
795	C₂²×C₄²	C₂⁴	1	8	yes	—
796	C₂²×C₄²	C₂⁴	1	2	yes	—
797	C₂²×C₄²	C₂⁴	1	2	yes	—
798	C₂²×C₄²	C₂⁴	1	24	yes	—
799	C₂²×C₄²	C₂⁴	1	24	yes	—
800	C₂²×C₄²	C₂⁴	1	48	yes	—
801	C₂²×C₄²	C₂⁴	1	8	yes	—
802	C₂²×C₄²	C₂⁴	1	8	yes	—
803	C₂²×C₄²	C₂⁴	1	8	yes	—
804	C₂²×C₄²	C₂⁴	1	16	yes	—
805	C₂²×C₄²	C₂⁴	1	192	yes	complemented
806	C₂²×C₄²	C₂⁴	1	192	yes	complemented
807	C₂⁵	—	2	8	no	—
808	C₂⁵	—	2	16	no	—
809	C₂⁵	—	2	64	no	—
810	C₂⁵	—	2	64	no	—
811	C₂⁵	—	2	384	no	—
812	C₂⁵	—	4	8	no	—
813	C₂⁵	—	4	8	no	—
814	C₂⁵	—	4	8	no	—
815	C₂⁵	—	4	8	no	—
816	C₂⁵	—	4	4	no	—
817	C₂⁵	—	4	4	no	—
818	C₂⁵	—	4	32	no	—
819	C₂⁵	—	4	32	no	—
820	C₂⁵	—	4	32	no	—
821	C₂⁵	—	4	32	no	—
822	C₂⁵	—	8	96	no	—
823	C₂⁵	—	8	96	no	—
824	C₂⁵	—	8	256	no	—
825	C₂⁵	C₂×#41	1	32	yes	—
826	C₂⁵	C₂⁵	1	2	yes	—
827	C₂⁵	C₂⁵	1	4	yes	—
828	C₂⁵	C₂⁵	1	8	yes	—
829	C₂⁵	C₂⁵	1	4	yes	—
830	C₂⁵	C₂⁵	1	1	yes	characteristic
831	C₂⁵	C₂⁵	1	96	yes	—
832	C₂⁵	C₂⁵	1	12	yes	—
833	C₂⁵	C₂⁵	1	24	yes	—
834	C₂⁵	C₂⁵	1	96	yes	—
835	C₂⁵	C₂⁵	1	128	yes	—
836	C₂⁵	C₂⁵	1	24	yes	—
837	H(5,𝔽₂)	—	2	4096	no	—
838	C₂×#41	—	2	1536	no	—
839	C₂×#41	—	2	768	no	—
840	C₂×#41	—	8	384	no	—
841	C₂×#41	—	8	384	no	—
842	C₂×#41	C₂⁵	1	256	yes	—
843	C₂×#41	C₂⁵	1	512	yes	—
844	C₂×#41	C₂⁵	1	512	yes	complemented
845	C₂×#41	C₂⁵	1	512	yes	complemented
846	C₂²×Q₈	—	2	32	no	—
847	C₂²×Q₈	—	4	16	no	—
848	C₂²×Q₈	—	4	32	no	—
849	C₂²×Q₈	—	4	16	no	—
850	C₂²×Q₈	—	8	192	no	—
851	C₂²×Q₈	C₂⁵	1	48	yes	—
852	C₂²×Q₈	C₂⁵	1	48	yes	—
853	C₂²×Q₈	C₂⁵	1	48	yes	—
854	C₂²×Q₈	C₂⁵	1	96	yes	—
855	C₂²×Q₈	C₂⁵	1	256	yes	complemented
856	C₂²×D₄	—	2	64	no	—
857	C₂²×D₄	—	2	384	no	—
858	C₂²×D₄	—	2	128	no	—
859	C₂²×D₄	—	2	64	no	—
860	C₂²×D₄	—	2	1536	no	—
861	C₂²×D₄	—	2	1536	no	—
862	C₂²×D₄	—	2	1536	no	—
863	C₂²×D₄	—	2	2048	no	—
864	C₂²×D₄	—	2	32	no	—
865	C₂²×D₄	—	2	192	no	—
866	C₂²×D₄	—	2	32	no	—
867	C₂²×D₄	—	4	16	no	—
868	C₂²×D₄	—	4	32	no	—
869	C₂²×D₄	—	4	32	no	—
870	C₂²×D₄	—	4	64	no	—
871	C₂²×D₄	—	4	32	no	—
872	C₂²×D₄	—	4	64	no	—
873	C₂²×D₄	—	4	16	no	—
874	C₂²×D₄	—	8	384	no	—
875	C₂²×D₄	—	8	384	no	—
876	C₂²×D₄	—	8	192	no	—
877	C₂²×D₄	C₂×#41	1	64	yes	—
878	C₂²×D₄	C₂×#41	1	384	yes	complemented
879	C₂²×D₄	C₂⁵	1	96	yes	—
880	C₂²×D₄	C₂⁵	1	96	yes	—
881	C₂²×D₄	C₂⁵	1	48	yes	—
882	C₂²×D₄	C₂⁵	1	192	yes	—
883	C₂²×D₄	C₂⁵	1	48	yes	—
884	C₂²×D₄	C₂⁵	1	128	yes	—
885	C₂²×D₄	C₂⁵	1	64	yes	—
886	C₂²×D₄	C₂⁵	1	512	yes	—
887	C₂²×D₄	C₂⁵	1	512	yes	—
888	C₂²×D₄	C₂⁵	1	512	yes	—
889	C₂²×D₄	C₂⁵	1	96	yes	—
890	C₂²×D₄	C₂⁵	1	96	yes	—
891	C₂²×D₄	C₂⁵	1	192	yes	—
892	C₂²×D₄	C₂⁵	1	192	yes	—
893	C₂²×D₄	C₂⁵	1	48	yes	—
894	C₂²×D₄	C₂⁵	1	96	yes	—
895	C₂²×D₄	C₂⁵	1	48	yes	—
896	C₂²×D₄	C₂⁵	1	512	yes	—
897	C₂²×D₄	C₂⁵	1	512	yes	—
898	C₂²×D₄	C₂⁵	1	48	yes	—
899	C₂²×D₄	C₂⁵	1	64	yes	—
900	C₂²×D₄	C₂⁵	1	256	yes	complemented
901	C₂³×C₄	—	2	8	no	—
902	C₂³×C₄	—	2	64	no	—
903	C₂³×C₄	—	2	32	no	—
904	C₂³×C₄	—	2	192	no	—
905	C₂³×C₄	—	2	64	no	—
906	C₂³×C₄	—	4	4	no	—
907	C₂³×C₄	—	4	8	no	—
908	C₂³×C₄	—	4	4	no	—
909	C₂³×C₄	—	4	32	no	—
910	C₂³×C₄	—	4	32	no	—
911	C₂³×C₄	—	4	4	no	—
912	C₂³×C₄	—	4	8	no	—
913	C₂³×C₄	—	4	4	no	—
914	C₂³×C₄	—	4	16	no	—
915	C₂³×C₄	—	4	32	no	—
916	C₂³×C₄	—	4	16	no	—
917	C₂³×C₄	—	4	64	no	—
918	C₂³×C₄	—	4	32	no	—
919	C₂³×C₄	—	4	32	no	—
920	C₂³×C₄	—	4	32	no	—
921	C₂³×C₄	—	4	32	no	—
922	C₂³×C₄	—	8	96	no	—
923	C₂³×C₄	—	8	96	no	—
924	C₂³×C₄	—	8	96	no	—
925	C₂³×C₄	—	8	96	no	—
926	C₂³×C₄	—	8	384	no	—
927	C₂³×C₄	C₂×#41	1	16	yes	—
928	C₂³×C₄	C₂⁵	1	96	yes	—
929	C₂³×C₄	C₂⁵	1	12	yes	—
930	C₂³×C₄	C₂⁵	1	96	yes	—
931	C₂³×C₄	C₂⁵	1	48	yes	—
932	C₂³×C₄	C₂⁵	1	64	yes	—
933	C₂³×C₄	C₂⁵	1	1	yes	characteristic
934	C₂³×C₄	C₂⁵	1	2	yes	—
935	C₂³×C₄	C₂⁵	1	4	yes	—
936	C₂³×C₄	C₂⁵	1	8	yes	—
937	C₂³×C₄	C₂⁵	1	8	yes	—
938	C₂³×C₄	C₂⁵	1	2	yes	—
939	C₂³×C₄	C₂⁵	1	2	yes	—
940	C₂³×C₄	C₂⁵	1	4	yes	—
941	C₂³×C₄	C₂⁵	1	8	yes	—
942	C₂³×C₄	C₂⁵	1	2	yes	—
943	C₂³×C₄	C₂⁵	1	1	yes	characteristic
944	C₂³×C₄	C₂⁵	1	12	yes	—
945	C₂³×C₄	C₂⁵	1	24	yes	—
946	C₂³×C₄	C₂⁵	1	12	yes	—
947	C₂³×C₄	C₂⁵	1	12	yes	—
948	C₂³×C₄	C₂⁵	1	12	yes	—
949	C₂³×C₄	C₂⁵	1	24	yes	—
950	C₂³×C₄	C₂⁵	1	48	yes	—
951	C₂³×C₄	C₂⁵	1	96	yes	—
952	C₂³×C₄	C₂⁵	1	96	yes	—
953	C₂³×C₄	C₂⁵	1	48	yes	—
954	C₂³×C₄	C₂⁵	1	96	yes	—
955	C₂³×C₄	C₂⁵	1	96	yes	—
956	C₂³×C₄	C₂⁵	1	96	yes	—
957	C₂³×C₄	C₂⁵	1	96	yes	—
958	C₂³×C₄	C₂⁵	1	192	yes	—
959	C₂³×C₄	C₂⁵	1	96	yes	—
960	C₂³×C₄	C₂⁵	1	128	yes	—
961	C₂³×C₄	C₂⁵	1	128	yes	—
962	C₂³×C₄	C₂⁵	1	128	yes	—
963	C₂³×C₄	C₂⁵	1	128	yes	—
964	C₂³×C₄	C₂⁵	1	12	yes	—
965	C₂³×C₄	C₂⁵	1	2	yes	—
966	C₂³×C₄	C₂⁵	1	512	yes	complemented
967	C₄⋊Q₈	C₂⁵	1	128	yes	complemented
968	C₄⋊Q₈	C₂⁵	1	512	yes	complemented
969	C₄⋊Q₈	C₂⁵	1	128	yes	complemented
970	C₄⋊Q₈	C₂⁵	1	128	yes	complemented
971	#127	C₂⁵	1	512	yes	—
972	#127	C₂⁵	1	128	yes	complemented
973	#126	C₂⁵	1	512	yes	—
974	#126	C₂⁵	1	1024	yes	—
975	#126	C₂⁵	1	512	yes	—
976	#126	C₂⁵	1	1024	yes	complemented
977	#126	C₂⁵	1	1024	yes	complemented
978	#126	C₂⁵	1	512	yes	complemented
979	#126	C₂⁵	1	1024	yes	complemented
980	#126	C₂⁵	1	512	yes	complemented
981	#125	C₂⁵	1	512	yes	complemented
982	#125	C₂⁵	1	512	yes	complemented
983	#125	C₂⁵	1	512	yes	complemented
984	#125	C₂⁵	1	512	yes	complemented
985	#125	C₂⁵	1	256	yes	complemented
986	#124	C₂⁵	1	512	yes	—
987	#124	C₂⁵	1	1024	yes	—
988	#124	C₂⁵	1	512	yes	—
989	#124	C₂⁵	1	512	yes	—
990	#124	C₂⁵	1	1024	yes	complemented
991	#124	C₂⁵	1	1024	yes	complemented
992	#124	C₂⁵	1	512	yes	complemented
993	#124	C₂⁵	1	256	yes	complemented
994	#123	C₂⁵	1	512	yes	—
995	#123	C₂⁵	1	1024	yes	—
996	#123	C₂⁵	1	512	yes	—
997	#123	C₂⁵	1	1024	yes	—
998	#123	C₂⁵	1	512	yes	—
999	#123	C₂⁵	1	1024	yes	complemented
1000	#123	C₂⁵	1	1024	yes	complemented
1001	#123	C₂⁵	1	512	yes	complemented
1002	#123	C₂⁵	1	1024	yes	complemented
1003	#123	C₂⁵	1	1024	yes	complemented
1004	#123	C₂⁵	1	1024	yes	complemented
1005	#123	C₂⁵	1	512	yes	complemented
1006	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1007	C₂²⋊Q₈	C₂⁵	1	512	yes	—
1008	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1009	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1010	C₂²⋊Q₈	C₂⁵	1	256	yes	—
1011	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1012	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1013	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1014	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1015	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
1016	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1017	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1018	C₂²⋊Q₈	C₂⁵	1	1024	yes	complemented
1019	C₂²⋊Q₈	C₂⁵	1	512	yes	complemented
1020	#121	C₂⁵	1	512	yes	—
1021	#121	C₂⁵	1	256	yes	—
1022	#121	C₂⁵	1	512	yes	—
1023	#121	C₂⁵	1	1024	yes	—
1024	#121	C₂⁵	1	256	yes	—
1025	#121	C₂⁵	1	1024	yes	—
1026	#121	C₂⁵	1	256	yes	—
1027	#121	C₂⁵	1	256	yes	—
1028	#121	C₂⁵	1	1024	yes	—
1029	#121	C₂⁵	1	512	yes	—
1030	#121	C₂⁵	1	512	yes	—
1031	#121	C₂⁵	1	512	yes	—
1032	#121	C₂⁵	1	1024	yes	complemented
1033	#121	C₂⁵	1	512	yes	complemented
1034	#121	C₂⁵	1	512	yes	complemented
1035	#121	C₂⁵	1	1024	yes	complemented
1036	#121	C₂⁵	1	512	yes	complemented
1037	#121	C₂⁵	1	512	yes	complemented
1038	#121	C₂⁵	1	512	yes	complemented
1039	#120	C₂⁵	1	512	yes	—
1040	#120	C₂⁵	1	1024	yes	—
1041	#120	C₂⁵	1	1024	yes	—
1042	#120	C₂⁵	1	1024	yes	—
1043	#120	C₂⁵	1	1024	yes	—
1044	#120	C₂⁵	1	1024	yes	complemented
1045	C₄×Q₈	C₂⁵	1	256	yes	complemented
1046	C₄×Q₈	C₂⁵	1	256	yes	complemented
1047	C₄×Q₈	C₂⁵	1	512	yes	complemented
1048	C₄×Q₈	C₂⁵	1	512	yes	complemented
1049	C₄×Q₈	C₂⁵	1	256	yes	complemented
1050	C₄×Q₈	C₂⁵	1	256	yes	complemented
1051	C₄×D₄	C₂⁵	1	512	yes	—
1052	C₄×D₄	C₂⁵	1	256	yes	—
1053	C₄×D₄	C₂⁵	1	256	yes	—
1054	C₄×D₄	C₂⁵	1	512	yes	—
1055	C₄×D₄	C₂⁵	1	512	yes	—
1056	C₄×D₄	C₂⁵	1	1024	yes	—
1057	C₄×D₄	C₂⁵	1	512	yes	—
1058	C₄×D₄	C₂⁵	1	512	yes	—
1059	C₄×D₄	C₂⁵	1	256	yes	—
1060	C₄×D₄	C₂⁵	1	512	yes	—
1061	C₄×D₄	C₂⁵	1	256	yes	—
1062	C₄×D₄	C₂⁵	1	1024	yes	—
1063	C₄×D₄	C₂⁵	1	512	yes	—
1064	C₄×D₄	C₂⁵	1	512	yes	—
1065	C₄×D₄	C₂⁵	1	512	yes	—
1066	C₄×D₄	C₂⁵	1	512	yes	—
1067	C₄×D₄	C₂⁵	1	1024	yes	complemented
1068	C₄×D₄	C₂⁵	1	256	yes	complemented
1069	C₄×D₄	C₂⁵	1	1024	yes	complemented
1070	C₄×D₄	C₂⁵	1	1024	yes	complemented
1071	C₄×D₄	C₂⁵	1	512	yes	complemented
1072	C₄×D₄	C₂⁵	1	256	yes	complemented
1073	C₄×D₄	C₂⁵	1	1024	yes	complemented
1074	C₄×D₄	C₂⁵	1	1024	yes	complemented
1075	C₄×D₄	C₂⁵	1	512	yes	complemented
1076	C₄×D₄	C₂⁵	1	1024	yes	complemented
1077	C₄×D₄	C₂⁵	1	256	yes	complemented
1078	C₄×D₄	C₂⁵	1	256	yes	complemented
1079	#117	C₂⁵	1	256	yes	—
1080	#117	C₂⁵	1	256	yes	—
1081	#117	C₂⁵	1	512	yes	—
1082	#117	C₂⁵	1	256	yes	—
1083	#117	C₂⁵	1	512	yes	complemented
1084	#117	C₂⁵	1	1024	yes	complemented
1085	#117	C₂⁵	1	512	yes	complemented
1086	#117	C₂⁵	1	512	yes	complemented
1087	#117	C₂⁵	1	512	yes	complemented
1088	#117	C₂⁵	1	1024	yes	complemented
1089	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1090	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1091	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1092	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1093	C₂×C₄⋊C₄	C₂⁵	1	24	yes	—
1094	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1095	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1096	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1097	C₂×C₄⋊C₄	C₂⁵	1	64	yes	—
1098	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1099	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1100	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1101	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1102	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1103	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1104	C₂×C₄⋊C₄	C₂⁵	1	192	yes	—
1105	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1106	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1107	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1108	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1109	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1110	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1111	C₂×C₄⋊C₄	C₂⁵	1	48	yes	—
1112	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1113	C₂×C₄⋊C₄	C₂⁵	1	96	yes	—
1114	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
1115	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
1116	C₂×C₄⋊C₄	C₂⁵	1	512	yes	complemented
1117	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1118	C₂×C₄⋊C₄	C₂⁵	1	256	yes	complemented
1119	C₂×C₂²⋊C₄	C₂⁵	1	24	yes	—
1120	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1121	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1122	C₂×C₂²⋊C₄	C₂⁵	1	24	yes	—
1123	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1124	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1125	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1126	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1127	C₂×C₂²⋊C₄	C₂⁵	1	48	yes	—
1128	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1129	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1130	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1131	C₂×C₂²⋊C₄	C₂⁵	1	64	yes	—
1132	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1133	C₂×C₂²⋊C₄	C₂⁵	1	64	yes	—
1134	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1135	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1136	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1137	C₂×C₂²⋊C₄	C₂⁵	1	128	yes	—
1138	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1139	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1140	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	—
1141	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1142	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1143	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1144	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1145	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1146	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	—
1147	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1148	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1149	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1150	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1151	C₂×C₂²⋊C₄	C₂⁵	1	192	yes	—
1152	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1153	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1154	C₂×C₂²⋊C₄	C₂⁵	1	96	yes	—
1155	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	complemented
1156	C₂×C₂²⋊C₄	C₂⁵	1	1024	yes	complemented
1157	C₂×C₂²⋊C₄	C₂⁵	1	512	yes	complemented
1158	C₂×C₄²	C₂⁵	1	48	yes	—
1159	C₂×C₄²	C₂⁵	1	96	yes	—
1160	C₂×C₄²	C₂⁵	1	24	yes	—
1161	C₂×C₄²	C₂⁵	1	24	yes	—
1162	C₂×C₄²	C₂⁵	1	96	yes	—
1163	C₂×C₄²	C₂⁵	1	96	yes	—
1164	C₂×C₄²	C₂⁵	1	192	yes	—
1165	C₂×C₄²	C₂⁵	1	64	yes	—
1166	C₂×C₄²	C₂⁵	1	64	yes	—
1167	C₂×C₄²	C₂⁵	1	128	yes	—
1168	C₂×C₄²	C₂⁵	1	96	yes	—
1169	C₂×C₄²	C₂⁵	1	512	yes	complemented
1170	C₂×C₄²	C₂⁵	1	512	yes	complemented
1171	C₂⁴	—	2	4	no	—
1172	C₂⁴	—	2	4	no	—
1173	C₂⁴	—	2	16	no	—
1174	C₂⁴	—	2	16	no	—
1175	C₂⁴	—	2	48	no	—
1176	C₂⁴	—	2	8	no	—
1177	C₂⁴	—	2	32	no	—
1178	C₂⁴	—	2	96	no	—
1179	C₂⁴	—	2	16	no	—
1180	C₂⁴	—	2	32	no	—
1181	C₂⁴	—	2	16	no	—
1182	C₂⁴	—	2	16	no	—
1183	C₂⁴	—	2	32	no	—
1184	C₂⁴	—	2	8	no	—
1185	C₂⁴	—	2	8	no	—
1186	C₂⁴	—	2	384	no	—
1187	C₂⁴	—	2	384	no	—
1188	C₂⁴	—	2	512	no	—
1189	C₂⁴	—	4	48	no	—
1190	C₂⁴	—	4	48	no	—
1191	C₂⁴	—	4	48	no	—
1192	C₂⁴	—	4	48	no	—
1193	C₂⁴	—	4	24	no	—
1194	C₂⁴	—	4	24	no	—
1195	C₂⁴	—	4	128	no	—
1196	C₂⁴	—	4	192	no	—
1197	C₂⁴	—	4	192	no	—
1198	C₂⁴	—	4	192	no	—
1199	C₂⁴	—	4	192	no	—
1200	C₂⁴	—	4	128	no	—
1201	C₂⁴	—	4	64	no	—
1202	C₂⁴	—	8	256	no	—
1203	C₂⁴	—	8	256	no	—
1204	C₂⁴	—	8	128	no	—
1205	C₂⁴	—	8	128	no	—
1206	C₂⁴	—	8	1536	no	—
1207	C₂⁴	C₂²×#41	1	32	yes	—
1208	C₂⁴	C₂²×#41	1	8	yes	—
1209	C₂⁴	C₂²×#41	1	192	yes	—
1210	C₂⁴	C₂⁶	1	12	yes	—
1211	C₂⁴	C₂⁶	1	24	yes	—
1212	C₂⁴	C₂⁶	1	48	yes	—
1213	C₂⁴	C₂⁶	1	24	yes	—
1214	C₂⁴	C₂⁶	1	6	yes	—
1215	C₂⁴	C₂⁶	1	128	yes	—
1216	C₂⁴	C₂⁶	1	16	yes	—
1217	C₂⁴	C₂⁶	1	32	yes	—
1218	C₂⁴	C₂⁶	1	128	yes	—
1219	C₂⁴	C₂⁶	1	32	yes	—
1220	C₂⁴	C₂⁶	1	1	yes	characteristic
1221	#41	—	2	2048	no	—
1222	#41	—	2	1024	no	—
1223	#41	—	8	512	no	—
1224	#41	—	8	512	no	—
1225	C₂×Q₈	—	2	192	no	—
1226	C₂×Q₈	—	4	96	no	—
1227	C₂×Q₈	—	4	192	no	—
1228	C₂×Q₈	—	4	96	no	—
1229	C₂×Q₈	—	8	256	no	—
1230	C₂×Q₈	C₂⁶	1	64	yes	—
1231	C₂×Q₈	C₂⁶	1	64	yes	—
1232	C₂×Q₈	C₂⁶	1	64	yes	—
1233	C₂×Q₈	C₂⁶	1	128	yes	—
1234	C₂×D₄	—	2	384	no	—
1235	C₂×D₄	—	2	512	no	—
1236	C₂×D₄	—	2	768	no	—
1237	C₂×D₄	—	2	384	no	—
1238	C₂×D₄	—	2	2048	no	—
1239	C₂×D₄	—	2	2048	no	—
1240	C₂×D₄	—	2	2048	no	—
1241	C₂×D₄	—	2	192	no	—
1242	C₂×D₄	—	2	256	no	—
1243	C₂×D₄	—	2	192	no	—
1244	C₂×D₄	—	4	96	no	—
1245	C₂×D₄	—	4	192	no	—
1246	C₂×D₄	—	4	192	no	—
1247	C₂×D₄	—	4	384	no	—
1248	C₂×D₄	—	4	192	no	—
1249	C₂×D₄	—	4	384	no	—
1250	C₂×D₄	—	4	96	no	—
1251	C₂×D₄	—	8	512	no	—
1252	C₂×D₄	—	8	512	no	—
1253	C₂×D₄	—	8	256	no	—
1254	C₂×D₄	C₂²×#41	1	384	yes	—
1255	C₂×D₄	C₂²×#41	1	512	yes	complemented
1256	C₂×D₄	C₂⁶	1	128	yes	—
1257	C₂×D₄	C₂⁶	1	128	yes	—
1258	C₂×D₄	C₂⁶	1	64	yes	—
1259	C₂×D₄	C₂⁶	1	256	yes	—
1260	C₂×D₄	C₂⁶	1	64	yes	—
1261	C₂×D₄	C₂⁶	1	128	yes	—
1262	C₂×D₄	C₂⁶	1	128	yes	—
1263	C₂×D₄	C₂⁶	1	256	yes	—
1264	C₂×D₄	C₂⁶	1	256	yes	—
1265	C₂×D₄	C₂⁶	1	64	yes	—
1266	C₂×D₄	C₂⁶	1	128	yes	—
1267	C₂×D₄	C₂⁶	1	64	yes	—
1268	C₂×D₄	C₂⁶	1	64	yes	—
1269	C₂²×C₄	—	2	48	no	—
1270	C₂²×C₄	—	2	8	no	—
1271	C₂²×C₄	—	2	32	no	—
1272	C₂²×C₄	—	2	384	no	—
1273	C₂²×C₄	—	2	8	no	—
1274	C₂²×C₄	—	2	16	no	—
1275	C₂²×C₄	—	2	8	no	—
1276	C₂²×C₄	—	2	4	no	—
1277	C₂²×C₄	—	2	32	no	—
1278	C₂²×C₄	—	2	16	no	—
1279	C₂²×C₄	—	2	8	no	—
1280	C₂²×C₄	—	2	4	no	—
1281	C₂²×C₄	—	2	32	no	—
1282	C₂²×C₄	—	2	192	no	—
1283	C₂²×C₄	—	2	256	no	—
1284	C₂²×C₄	—	2	384	no	—
1285	C₂²×C₄	—	4	24	no	—
1286	C₂²×C₄	—	4	48	no	—
1287	C₂²×C₄	—	4	24	no	—
1288	C₂²×C₄	—	4	192	no	—
1289	C₂²×C₄	—	4	192	no	—
1290	C₂²×C₄	—	4	24	no	—
1291	C₂²×C₄	—	4	48	no	—
1292	C₂²×C₄	—	4	24	no	—
1293	C₂²×C₄	—	4	96	no	—
1294	C₂²×C₄	—	4	192	no	—
1295	C₂²×C₄	—	4	96	no	—
1296	C₂²×C₄	—	4	384	no	—
1297	C₂²×C₄	—	4	192	no	—
1298	C₂²×C₄	—	4	192	no	—
1299	C₂²×C₄	—	4	192	no	—
1300	C₂²×C₄	—	4	192	no	—
1301	C₂²×C₄	—	8	128	no	—
1302	C₂²×C₄	—	8	128	no	—
1303	C₂²×C₄	—	8	128	no	—
1304	C₂²×C₄	—	8	128	no	—
1305	C₂²×C₄	—	8	512	no	—
1306	C₂²×C₄	C₂²×#41	1	16	yes	—
1307	C₂²×C₄	C₂²×#41	1	96	yes	—
1308	C₂²×C₄	C₂⁶	1	12	yes	—
1309	C₂²×C₄	C₂⁶	1	12	yes	—
1310	C₂²×C₄	C₂⁶	1	24	yes	—
1311	C₂²×C₄	C₂⁶	1	48	yes	—
1312	C₂²×C₄	C₂⁶	1	48	yes	—
1313	C₂²×C₄	C₂⁶	1	12	yes	—
1314	C₂²×C₄	C₂⁶	1	16	yes	—
1315	C₂²×C₄	C₂⁶	1	6	yes	—
1316	C₂²×C₄	C₂⁶	1	24	yes	—
1317	C₂²×C₄	C₂⁶	1	12	yes	—
1318	C₂²×C₄	C₂⁶	1	48	yes	—
1319	C₂²×C₄	C₂⁶	1	6	yes	—
1320	C₂²×C₄	C₂⁶	1	128	yes	—
1321	C₂²×C₄	C₂⁶	1	128	yes	—
1322	C₂²×C₄	C₂⁶	1	64	yes	—
1323	C₂²×C₄	C₂⁶	1	16	yes	—
1324	C₂²×C₄	C₂⁶	1	16	yes	—
1325	C₂²×C₄	C₂⁶	1	32	yes	—
1326	C₂²×C₄	C₂⁶	1	16	yes	—
1327	C₂²×C₄	C₂⁶	1	16	yes	—
1328	C₂²×C₄	C₂⁶	1	32	yes	—
1329	C₂²×C₄	C₂⁶	1	128	yes	—
1330	C₂²×C₄	C₂⁶	1	128	yes	—
1331	C₂²×C₄	C₂⁶	1	128	yes	—
1332	C₂²×C₄	C₂⁶	1	128	yes	—
1333	C₂²×C₄	C₂⁶	1	64	yes	—
1334	C₂²×C₄	C₂⁶	1	64	yes	—
1335	C₂²×C₄	C₂⁶	1	128	yes	—
1336	C₂²×C₄	C₂⁶	1	128	yes	—
1337	C₂²×C₄	C₂⁶	1	128	yes	—
1338	C₂²×C₄	C₂⁶	1	256	yes	—
1339	C₂²×C₄	C₂⁶	1	12	yes	—
1340	C₂²×C₄	C₂⁶	1	16	yes	—
1341	C₄⋊C₄	C₂⁶	1	64	yes	—
1342	C₄⋊C₄	C₂⁶	1	64	yes	—
1343	C₄⋊C₄	C₂⁶	1	32	yes	—
1344	C₄⋊C₄	C₂⁶	1	64	yes	—
1345	C₄⋊C₄	C₂⁶	1	32	yes	—
1346	C₄⋊C₄	C₂⁶	1	64	yes	—
1347	C₄⋊C₄	C₂⁶	1	128	yes	—
1348	C₄⋊C₄	C₂⁶	1	256	yes	—
1349	C₄⋊C₄	C₂⁶	1	64	yes	—
1350	C₄⋊C₄	C₂⁶	1	128	yes	—
1351	C₄⋊C₄	C₂⁶	1	64	yes	—
1352	C₄⋊C₄	C₂⁶	1	256	yes	—
1353	C₄⋊C₄	C₂⁶	1	128	yes	—
1354	C₄⋊C₄	C₂⁶	1	128	yes	—
1355	C₄⋊C₄	C₂⁶	1	64	yes	—
1356	C₄⋊C₄	C₂⁶	1	128	yes	—
1357	C₄⋊C₄	C₂⁶	1	128	yes	—
1358	C₄⋊C₄	C₂⁶	1	64	yes	—
1359	C₄⋊C₄	C₂⁶	1	64	yes	—
1360	C₄⋊C₄	C₂⁶	1	128	yes	—
1361	C₄⋊C₄	C₂⁶	1	128	yes	—
1362	C₂²⋊C₄	C₂⁶	1	32	yes	—
1363	C₂²⋊C₄	C₂⁶	1	128	yes	—
1364	C₂²⋊C₄	C₂⁶	1	64	yes	—
1365	C₂²⋊C₄	C₂⁶	1	32	yes	—
1366	C₂²⋊C₄	C₂⁶	1	128	yes	—
1367	C₂²⋊C₄	C₂⁶	1	128	yes	—
1368	C₂²⋊C₄	C₂⁶	1	64	yes	—
1369	C₂²⋊C₄	C₂⁶	1	128	yes	—
1370	C₂²⋊C₄	C₂⁶	1	64	yes	—
1371	C₂²⋊C₄	C₂⁶	1	128	yes	—
1372	C₂²⋊C₄	C₂⁶	1	128	yes	—
1373	C₂²⋊C₄	C₂⁶	1	128	yes	—
1374	C₂²⋊C₄	C₂⁶	1	256	yes	—
1375	C₂²⋊C₄	C₂⁶	1	256	yes	—
1376	C₂²⋊C₄	C₂⁶	1	256	yes	—
1377	C₂²⋊C₄	C₂⁶	1	128	yes	—
1378	C₂²⋊C₄	C₂⁶	1	128	yes	—
1379	C₂²⋊C₄	C₂⁶	1	256	yes	—
1380	C₂²⋊C₄	C₂⁶	1	128	yes	—
1381	C₂²⋊C₄	C₂⁶	1	256	yes	—
1382	C₂²⋊C₄	C₂⁶	1	128	yes	—
1383	C₂²⋊C₄	C₂⁶	1	128	yes	—
1384	C₂²⋊C₄	C₂⁶	1	128	yes	—
1385	C₄²	C₂⁶	1	64	yes	—
1386	C₄²	C₂⁶	1	128	yes	—
1387	C₄²	C₂⁶	1	32	yes	—
1388	C₄²	C₂⁶	1	32	yes	—
1389	C₄²	C₂⁶	1	128	yes	—
1390	C₄²	C₂⁶	1	128	yes	—
1391	C₄²	C₂⁶	1	128	yes	—
1392	C₄²	C₂⁶	1	256	yes	—
1393	C₂³	—	2	12	no	—
1394	C₂³	—	2	12	no	—
1395	C₂³	—	2	48	no	—
1396	C₂³	—	2	48	no	—
1397	C₂³	—	2	32	no	—
1398	C₂³	—	2	128	no	—
1399	C₂³	—	2	32	no	—
1400	C₂³	—	2	24	no	—
1401	C₂³	—	2	96	no	—
1402	C₂³	—	2	64	no	—
1403	C₂³	—	2	48	no	—
1404	C₂³	—	2	96	no	—
1405	C₂³	—	2	48	no	—
1406	C₂³	—	2	48	no	—
1407	C₂³	—	2	96	no	—
1408	C₂³	—	2	24	no	—
1409	C₂³	—	2	24	no	—
1410	C₂³	—	2	256	no	—
1411	C₂³	—	2	256	no	—
1412	C₂³	—	4	32	no	—
1413	C₂³	—	4	32	no	—
1414	C₂³	—	4	32	no	—
1415	C₂³	—	4	32	no	—
1416	C₂³	—	4	16	no	—
1417	C₂³	—	4	16	no	—
1418	C₂³	—	4	384	no	—
1419	C₂³	—	4	128	no	—
1420	C₂³	—	4	128	no	—
1421	C₂³	—	4	128	no	—
1422	C₂³	—	4	128	no	—
1423	C₂³	—	4	384	no	—
1424	C₂³	—	4	192	no	—
1425	C₂³	—	4	64	no	—
1426	C₂³	—	4	32	no	—
1427	C₂³	—	4	128	no	—
1428	C₂³	—	8	768	no	—
1429	C₂³	—	8	768	no	—
1430	C₂³	—	8	1024	no	—
1431	C₂³	C₂³×#41	1	96	yes	—
1432	C₂³	C₂³×#41	1	24	yes	—
1433	C₂³	C₂³×#41	1	128	yes	—
1434	C₂³	C₂³×#41	1	4	yes	—
1435	C₂³	H(7,𝔽₂)	1	4	yes	—
1436	C₂³	H(7,𝔽₂)	1	4	yes	—
1437	C₂³	C₂⁷	1	8	yes	—
1438	C₂³	C₂⁷	1	16	yes	—
1439	C₂³	C₂⁷	1	32	yes	—
1440	C₂³	C₂⁷	1	16	yes	—
1441	C₂³	C₂⁷	1	4	yes	—
1442	C₂³	C₂⁷	1	3	yes	—
1443	Q₈	—	2	128	no	—
1444	Q₈	—	4	64	no	—
1445	Q₈	—	4	128	no	—
1446	Q₈	—	4	64	no	—
1447	D₄	—	2	256	no	—
1448	D₄	—	2	512	no	—
1449	D₄	—	2	256	no	—
1450	D₄	—	2	128	no	—
1451	D₄	—	2	128	no	—
1452	D₄	—	4	64	no	—
1453	D₄	—	4	128	no	—
1454	D₄	—	4	128	no	—
1455	D₄	—	4	256	no	—
1456	D₄	—	4	128	no	—
1457	D₄	—	4	256	no	—
1458	D₄	—	4	64	no	—
1459	D₄	C₂³×#41	1	256	yes	—
1460	C₂×C₄	—	2	32	no	—
1461	C₂×C₄	—	2	24	no	—
1462	C₂×C₄	—	2	96	no	—
1463	C₂×C₄	—	2	256	no	—
1464	C₂×C₄	—	2	24	no	—
1465	C₂×C₄	—	2	48	no	—
1466	C₂×C₄	—	2	24	no	—
1467	C₂×C₄	—	2	12	no	—
1468	C₂×C₄	—	2	96	no	—
1469	C₂×C₄	—	2	48	no	—
1470	C₂×C₄	—	2	24	no	—
1471	C₂×C₄	—	2	12	no	—
1472	C₂×C₄	—	2	96	no	—
1473	C₂×C₄	—	2	128	no	—
1474	C₂×C₄	—	2	256	no	—
1475	C₂×C₄	—	4	16	no	—
1476	C₂×C₄	—	4	32	no	—
1477	C₂×C₄	—	4	16	no	—
1478	C₂×C₄	—	4	128	no	—
1479	C₂×C₄	—	4	128	no	—
1480	C₂×C₄	—	4	16	no	—
1481	C₂×C₄	—	4	32	no	—
1482	C₂×C₄	—	4	16	no	—
1483	C₂×C₄	—	4	64	no	—
1484	C₂×C₄	—	4	128	no	—
1485	C₂×C₄	—	4	64	no	—
1486	C₂×C₄	—	4	256	no	—
1487	C₂×C₄	—	4	128	no	—
1488	C₂×C₄	—	4	128	no	—
1489	C₂×C₄	—	4	128	no	—
1490	C₂×C₄	—	4	128	no	—
1491	C₂×C₄	C₂³×#41	1	48	yes	—
1492	C₂×C₄	C₂³×#41	1	64	yes	—
1493	C₂×C₄	C₂⁷	1	8	yes	—
1494	C₂×C₄	C₂⁷	1	8	yes	—
1495	C₂×C₄	C₂⁷	1	16	yes	—
1496	C₂×C₄	C₂⁷	1	32	yes	—
1497	C₂×C₄	C₂⁷	1	32	yes	—
1498	C₂×C₄	C₂⁷	1	8	yes	—
1499	C₂×C₄	C₂⁷	1	4	yes	—
1500	C₂×C₄	C₂⁷	1	16	yes	—
1501	C₂×C₄	C₂⁷	1	8	yes	—
1502	C₂×C₄	C₂⁷	1	32	yes	—
1503	C₂×C₄	C₂⁷	1	4	yes	—
1504	C₂×C₄	C₂⁷	1	8	yes	—
1505	C₂²	—	2	4	no	—
1506	C₂²	—	2	4	no	—
1507	C₂²	—	2	16	no	—
1508	C₂²	—	2	16	no	—
1509	C₂²	—	2	48	no	—
1510	C₂²	—	2	192	no	—
1511	C₂²	—	2	8	no	—
1512	C₂²	—	2	32	no	—
1513	C₂²	—	2	16	no	—
1514	C₂²	—	2	32	no	—
1515	C₂²	—	2	16	no	—
1516	C₂²	—	2	16	no	—
1517	C₂²	—	2	32	no	—
1518	C₂²	—	2	8	no	—
1519	C₂²	—	2	8	no	—
1520	C₂²	—	4	128	no	—
1521	C₂²	—	4	128	no	—
1522	C₂²	—	4	64	no	—
1523	C₂²	—	4	96	no	—
1524	C₂²	—	4	48	no	—
1525	C₂²	—	4	192	no	—
1526	C₂²	—	8	256	no	—
1527	C₂²	—	8	256	no	—
1528	C₂²	#62846	1	16	yes	direct product factor
1529	C₂²	C₂⁴×#41	1	32	yes	—
1530	C₂²	C₂⁴×#41	1	8	yes	—
1531	C₂²	C₂⁴×#41	1	6	yes	—
1532	C₂²	C₂×H(7,𝔽₂)	1	6	yes	—
1533	C₂²	C₂×H(7,𝔽₂)	1	6	yes	—
1534	C₂²	C₂⁸	1	1	yes	characteristic
1535	C₄	—	2	8	no	—
1536	C₄	—	2	32	no	—
1537	C₄	—	2	8	no	—
1538	C₄	—	2	16	no	—
1539	C₄	—	2	8	no	—
1540	C₄	—	2	4	no	—
1541	C₄	—	2	32	no	—
1542	C₄	—	2	16	no	—
1543	C₄	—	2	8	no	—
1544	C₄	—	2	4	no	—
1545	C₄	—	2	32	no	—
1546	C₄	C₂⁴×#41	1	16	yes	—
1547	C₂	—	2	8	no	—
1548	C₂	—	2	32	no	—
1549	C₂	—	4	16	no	—
1550	C₂	—	4	8	no	—
1551	C₂	—	4	32	no	—
1552	C₂	C₂×#62846	1	12	yes	direct product factor
1553	C₂	C₂⁵×#41	1	1	yes	characteristic
1554	C₂	C₂²×H(7,𝔽₂)	1	1	yes	characteristic
1555	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×#62846	C₂	direct (N × H)
2. C₂²×#3521	C₂	semidirect
3. C₂²×#3514	C₂	semidirect
4. C₂²×#3493	C₂	semidirect
5. C₂²×#3519	C₂	semidirect
6. C₂²×#3513	C₂	semidirect
7. C₂²×#3506	C₂	semidirect
8. C₂²×#3505	C₂	semidirect
9. C₂²×#3490	C₂	semidirect
10. C₂²×#3501	C₂	semidirect
11. C₂²×#3496	C₂	semidirect
12. C₂²×#3484	C₂	semidirect
13. C₂²×#3455	C₂	semidirect
14. C₂²×#3460	C₂	semidirect
15. C₂²×#3459	C₂	semidirect
16. C₂³×#538	C₂	semidirect
17. C₂²×C₄×H(5,𝔽₂)	C₂	semidirect
18. C₂³×#518	C₂	semidirect
21. #62846	C₂²	direct (N × H)
22. C₂×#3521	C₂²	semidirect
23. C₂×#3514	C₂²	semidirect
24. C₂×#3493	C₂²	semidirect
25. C₂×#3519	C₂²	semidirect
26. C₂×#3513	C₂²	semidirect
27. C₂×#3506	C₂²	semidirect
28. C₂×#3505	C₂²	semidirect
29. C₂×#3490	C₂²	semidirect
30. C₂×#3501	C₂²	semidirect
31. C₂×#3496	C₂²	semidirect
32. C₂×#3484	C₂²	semidirect
33. C₂²×#559	C₂²	semidirect
34. C₂²×#555	C₂²	semidirect
35. C₂²×#555	C₂²	semidirect
36. C₂²×#556	C₂²	semidirect
37. C₂²×#556	C₂²	semidirect
38. C₂²×#553	C₂²	semidirect
39. C₂²×#553	C₂²	semidirect
40. C₂²×#553	C₂²	semidirect
41. C₂²×#553	C₂²	semidirect
42. C₂²×#552	C₂²	semidirect
43. C₂²×#552	C₂²	semidirect
44. C₂²×#551	C₂²	semidirect
45. C₂²×#551	C₂²	semidirect
46. C₂²×#551	C₂²	semidirect
47. C₂²×#554	C₂²	semidirect
48. C₂²×#554	C₂²	semidirect
49. C₂²×#550	C₂²	semidirect
50. C₂²×#547	C₂²	semidirect
51. C₂²×#547	C₂²	semidirect
52. C₂²×#548	C₂²	semidirect
53. C₂²×#546	C₂²	semidirect
54. C₂²×#546	C₂²	semidirect
55. C₂²×#546	C₂²	semidirect
56. C₂²×#546	C₂²	semidirect
57. C₂²×#546	C₂²	semidirect
58. C₂²×#546	C₂²	semidirect
59. C₂²×D₄×Q₈	C₂²	semidirect
60. C₂²×D₄²	C₂²	semidirect
61. C₂²×D₄²	C₂²	semidirect
62. C₂²×D₄²	C₂²	semidirect
63. C₂×#3455	C₂²	semidirect
64. C₂²×#541	C₂²	semidirect
65. C₂×#3460	C₂²	semidirect
66. C₂²×#542	C₂²	semidirect
67. C₂²×#542	C₂²	semidirect
68. C₂²×#542	C₂²	semidirect
69. C₂²×#540	C₂²	semidirect
70. C₂²×#540	C₂²	semidirect
71. C₂²×#544	C₂²	semidirect
72. C₂²×#537	C₂²	semidirect
73. C₂²×#535	C₂²	semidirect
74. C₂×#3459	C₂²	semidirect
75. C₂²×#539	C₂²	semidirect
76. C₂²×#539	C₂²	semidirect
77. C₂²×#539	C₂²	semidirect
78. C₂²×#538	C₂²	semidirect
79. C₂²×#538	C₂²	semidirect
80. C₂²×#538	C₂²	semidirect
81. C₂²×#538	C₂²	semidirect
82. C₂²×#538	C₂²	semidirect
83. C₂²×#538	C₂²	semidirect
84. C₂²×#538	C₂²	semidirect
85. C₂²×#538	C₂²	semidirect
86. C₂²×#538	C₂²	semidirect
87. C₂²×#543	C₂²	semidirect
88. C₂²×#534	C₂²	semidirect
89. C₂²×#534	C₂²	semidirect
90. C₂²×#533	C₂²	semidirect
91. C₂²×#532	C₂²	semidirect
92. C₂²×#532	C₂²	semidirect
93. C₂²×#529	C₂²	semidirect
94. C₂²×#529	C₂²	semidirect
95. C₂²×#529	C₂²	semidirect
96. C₂²×#529	C₂²	semidirect
97. C₂²×#529	C₂²	semidirect
98. C₂³×#126	C₂²	semidirect
99. C₂³×#124	C₂²	semidirect
100. C₂²×#525	C₂²	semidirect
101. C₂²×#525	C₂²	semidirect
102. C₂²×#525	C₂²	semidirect
103. C₂²×#525	C₂²	semidirect
104. C₂³×#123	C₂²	semidirect
105. C₂³×C₂²⋊Q₈	C₂²	semidirect
106. C₂³×#121	C₂²	semidirect
107. C₂³×#121	C₂²	semidirect
108. C₂³×#120	C₂²	semidirect
109. C₂×C₄×H(5,𝔽₂)	C₂²	semidirect
110. C₂²×#520	C₂²	semidirect
111. C₂²×#520	C₂²	semidirect
113. C₂²×#518	C₂²	semidirect
114. C₂²×#518	C₂²	semidirect
115. C₂²×#518	C₂²	semidirect
116. C₂²×#518	C₂²	semidirect
117. C₂²×#518	C₂²	semidirect
118. C₂²×C₄×#41	C₂²	semidirect
119. C₂²×C₄×#41	C₂²	semidirect
122. C₂³×C₄×D₄	C₂²	semidirect
123. C₂³×C₄×D₄	C₂²	semidirect
124. C₂³×C₄×D₄	C₂²	semidirect
125. C₂³×C₄×D₄	C₂²	semidirect
126. C₂³×C₄×D₄	C₂²	semidirect
127. C₂³×C₄×D₄	C₂²	semidirect
128. C₂³×#117	C₂²	semidirect
129. C₂³×#117	C₂²	semidirect
130. C₂⁴×C₂²⋊C₄	C₂²	semidirect
131. C₂⁴×C₂²⋊C₄	C₂²	semidirect
137. C₂³×#41	C₂³	semidirect
138. C₂³×#41	C₂³	semidirect
139. C₂⁴×Q₈	C₂³	semidirect
150. C₂⁴×D₄	C₂³	semidirect
156. C₂⁵×C₄	C₂³	semidirect
157. #3521	C₂³	semidirect
158. #3519	C₂³	semidirect
159. #3514	C₂³	semidirect
160. #3513	C₂³	semidirect
161. #3506	C₂³	semidirect
162. #3505	C₂³	semidirect
163. #3501	C₂³	semidirect
164. #3496	C₂³	semidirect
165. #3493	C₂³	semidirect
166. #3490	C₂³	semidirect
167. #3484	C₂³	semidirect
168. C₂×#559	C₂³	semidirect
169. C₂×#556	C₂³	semidirect
170. C₂×#556	C₂³	semidirect
171. C₂×#555	C₂³	semidirect
172. C₂×#555	C₂³	semidirect
173. C₂×#554	C₂³	semidirect
174. C₂×#554	C₂³	semidirect
175. C₂×#553	C₂³	semidirect
176. C₂×#553	C₂³	semidirect
177. C₂×#553	C₂³	semidirect
178. C₂×#553	C₂³	semidirect
179. C₂×#552	C₂³	semidirect
180. C₂×#552	C₂³	semidirect
181. C₂×#551	C₂³	semidirect
182. C₂×#551	C₂³	semidirect
183. C₂×#551	C₂³	semidirect
184. C₂×#550	C₂³	semidirect
185. C₂×D₄×Q₈	C₂³	semidirect
186. C₂×#548	C₂³	semidirect
187. C₂×#547	C₂³	semidirect
188. C₂×#547	C₂³	semidirect
189. C₂×#546	C₂³	semidirect
190. C₂×#546	C₂³	semidirect
191. C₂×#546	C₂³	semidirect
192. C₂×#546	C₂³	semidirect
193. C₂×#546	C₂³	semidirect
194. C₂×#546	C₂³	semidirect
195. C₂×D₄²	C₂³	semidirect
196. C₂×D₄²	C₂³	semidirect
197. C₂×D₄²	C₂³	semidirect
198. #3460	C₂³	semidirect
199. #3459	C₂³	semidirect
200. C₂×#544	C₂³	semidirect
201. C₂×#543	C₂³	semidirect
202. #3455	C₂³	semidirect
203. C₂×#542	C₂³	semidirect
204. C₂×#542	C₂³	semidirect
205. C₂×#542	C₂³	semidirect
206. C₂×#541	C₂³	semidirect
207. C₂×#540	C₂³	semidirect
208. C₂×#540	C₂³	semidirect
209. C₂×#539	C₂³	semidirect
210. C₂×#539	C₂³	semidirect
211. C₂×#539	C₂³	semidirect
212. C₂×#538	C₂³	semidirect
213. C₂×#538	C₂³	semidirect
214. C₂×#538	C₂³	semidirect
215. C₂×#538	C₂³	semidirect
216. C₂×#538	C₂³	semidirect
217. C₂×#538	C₂³	semidirect
218. C₂×#538	C₂³	semidirect
219. C₂×#538	C₂³	semidirect
220. C₂×#538	C₂³	semidirect
221. C₂×#537	C₂³	semidirect
222. C₂×#535	C₂³	semidirect
223. C₂×#534	C₂³	semidirect
224. C₂×#534	C₂³	semidirect
225. C₂×#533	C₂³	semidirect
226. C₂×#532	C₂³	semidirect
227. C₂×#532	C₂³	semidirect
228. C₂²×C₄⋊Q₈	C₂³	semidirect
229. C₂²×C₄⋊Q₈	C₂³	semidirect
230. C₂²×C₄⋊Q₈	C₂³	semidirect
231. C₂²×C₄⋊Q₈	C₂³	semidirect
233. C₂²×#127	C₂³	semidirect
234. C₂×#529	C₂³	semidirect
235. C₂×#529	C₂³	semidirect
236. C₂×#529	C₂³	semidirect
237. C₂×#529	C₂³	semidirect
238. C₂×#529	C₂³	semidirect
242. C₂²×#126	C₂³	semidirect
243. C₂²×#126	C₂³	semidirect
244. C₂²×#126	C₂³	semidirect
245. C₂²×#126	C₂³	semidirect
246. C₂²×#126	C₂³	semidirect
247. C₂²×#126	C₂³	semidirect
248. C₂²×#125	C₂³	semidirect
249. C₂²×#125	C₂³	semidirect
250. C₂²×#125	C₂³	semidirect
251. C₂²×#125	C₂³	semidirect
252. C₂²×#125	C₂³	semidirect
257. C₂²×#124	C₂³	semidirect
258. C₂²×#124	C₂³	semidirect
259. C₂²×#124	C₂³	semidirect
260. C₂²×#124	C₂³	semidirect
261. C₂²×#124	C₂³	semidirect
262. C₂×#525	C₂³	semidirect
263. C₂×#525	C₂³	semidirect
264. C₂×#525	C₂³	semidirect
265. C₂×#525	C₂³	semidirect
271. C₂²×#123	C₂³	semidirect
272. C₂²×#123	C₂³	semidirect
273. C₂²×#123	C₂³	semidirect
274. C₂²×#123	C₂³	semidirect
275. C₂²×#123	C₂³	semidirect
276. C₂²×#123	C₂³	semidirect
277. C₂²×#123	C₂³	semidirect
278. C₂²×#123	C₂³	semidirect
284. C₂²×C₂²⋊Q₈	C₂³	semidirect
285. C₂²×C₂²⋊Q₈	C₂³	semidirect
286. C₂²×C₂²⋊Q₈	C₂³	semidirect
287. C₂²×C₂²⋊Q₈	C₂³	semidirect
288. C₂²×C₂²⋊Q₈	C₂³	semidirect
289. C₂²×C₂²⋊Q₈	C₂³	semidirect
290. C₂²×C₂²⋊Q₈	C₂³	semidirect
291. C₂²×C₂²⋊Q₈	C₂³	semidirect
292. C₂²×C₂²⋊Q₈	C₂³	semidirect
293. C₂²×C₂²⋊Q₈	C₂³	semidirect
306. C₂²×#121	C₂³	semidirect
307. C₂²×#121	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
320. C₂²×#120	C₂³	semidirect
321. C₂²×#120	C₂³	semidirect
322. C₄×H(5,𝔽₂)	C₂³	semidirect
323. C₂×#520	C₂³	semidirect
324. C₂×#520	C₂³	semidirect
326. C₂×#518	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. C₂²×C₄×Q₈	C₂³	semidirect
334. C₂²×C₄×Q₈	C₂³	semidirect
335. C₂²×C₄×Q₈	C₂³	semidirect
336. C₂²×C₄×Q₈	C₂³	semidirect
337. C₂²×C₄×Q₈	C₂³	semidirect
338. C₂²×C₄×Q₈	C₂³	semidirect
357. C₂²×C₄×D₄	C₂³	semidirect
358. C₂²×C₄×D₄	C₂³	semidirect
359. C₂²×C₄×D₄	C₂³	semidirect
360. C₂²×C₄×D₄	C₂³	semidirect
361. C₂²×C₄×D₄	C₂³	semidirect
362. C₂²×C₄×D₄	C₂³	semidirect
363. C₂²×C₄×D₄	C₂³	semidirect
364. C₂²×C₄×D₄	C₂³	semidirect
365. C₂²×C₄×D₄	C₂³	semidirect
366. C₂²×C₄×D₄	C₂³	semidirect
367. C₂²×C₄×D₄	C₂³	semidirect
368. C₂²×C₄×D₄	C₂³	semidirect
369. C₂²×C₄×D₄	C₂³	semidirect
370. C₂²×C₄×D₄	C₂³	semidirect
371. C₂²×C₄×D₄	C₂³	semidirect
372. C₂²×C₄×D₄	C₂³	semidirect
373. C₂²×C₄×D₄	C₂³	semidirect
374. C₂²×C₄×D₄	C₂³	semidirect
379. C₂²×#117	C₂³	semidirect
380. C₂²×#117	C₂³	semidirect
381. C₂²×#117	C₂³	semidirect
382. C₂²×#117	C₂³	semidirect
383. C₂²×#117	C₂³	semidirect
384. C₂²×#117	C₂³	semidirect
385. C₂²×#117	C₂³	semidirect
386. C₂²×#117	C₂³	semidirect
391. C₂³×C₄⋊C₄	C₂³	semidirect
392. C₂³×C₄⋊C₄	C₂³	semidirect
393. C₂³×C₄⋊C₄	C₂³	semidirect
394. C₂³×C₄⋊C₄	C₂³	semidirect
395. C₂³×C₄⋊C₄	C₂³	semidirect
409. C₂³×C₂²⋊C₄	C₂³	semidirect
410. C₂³×C₂²⋊C₄	C₂³	semidirect
411. C₂³×C₂²⋊C₄	C₂³	semidirect
412. C₂³×C₂²⋊C₄	C₂³	semidirect
413. C₂³×C₂²⋊C₄	C₂³	semidirect
417. C₂³×C₄²	C₂³	semidirect
418. C₂³×C₄²	C₂³	semidirect
436. C₂²×#41	C₂⁴	semidirect
437. C₂²×#41	C₂⁴	semidirect
443. C₂³×Q₈	C₂⁴	semidirect
453. C₂³×D₄	#41	semidirect
476. C₂³×D₄	C₂⁴	semidirect
509. C₂⁴×C₄	C₂⁴	semidirect
510. #559	C₂⁴	semidirect
511. #556	C₂⁴	semidirect
512. #556	C₂⁴	semidirect
513. #555	C₂⁴	semidirect
514. #555	C₂⁴	semidirect
515. #554	C₂⁴	semidirect
516. #554	C₂⁴	semidirect
517. #553	C₂⁴	semidirect
518. #553	C₂⁴	semidirect
519. #553	C₂⁴	semidirect
520. #553	C₂⁴	semidirect
521. #552	C₂⁴	semidirect
522. #552	C₂⁴	semidirect
523. #551	C₂⁴	semidirect
524. #551	C₂⁴	semidirect
525. #551	C₂⁴	semidirect
526. #550	C₂⁴	semidirect
527. D₄×Q₈	C₂⁴	semidirect
528. #548	C₂⁴	semidirect
529. #547	C₂⁴	semidirect
530. #547	C₂⁴	semidirect
531. #546	C₂⁴	semidirect
532. #546	C₂⁴	semidirect
533. #546	C₂⁴	semidirect
534. #546	C₂⁴	semidirect
535. #546	C₂⁴	semidirect
536. #546	C₂⁴	semidirect
537. D₄²	C₂⁴	semidirect
538. D₄²	C₂⁴	semidirect
539. D₄²	C₂⁴	semidirect
540. #544	C₂⁴	semidirect
541. #543	C₂⁴	semidirect
542. #542	C₂⁴	semidirect
543. #542	C₂⁴	semidirect
544. #542	C₂⁴	semidirect
545. #541	C₂⁴	semidirect
546. #540	C₂⁴	semidirect
547. #540	C₂⁴	semidirect
548. #539	C₂⁴	semidirect
549. #539	C₂⁴	semidirect
550. #539	C₂⁴	semidirect
551. #538	C₂⁴	semidirect
552. #538	C₂⁴	semidirect
553. #538	C₂⁴	semidirect
554. #538	C₂⁴	semidirect
555. #538	C₂⁴	semidirect
556. #538	C₂⁴	semidirect
557. #538	C₂⁴	semidirect
558. #538	C₂⁴	semidirect
559. #537	C₂⁴	semidirect
560. #535	C₂⁴	semidirect
561. #534	C₂⁴	semidirect
562. #534	C₂⁴	semidirect
563. #533	C₂⁴	semidirect
564. #532	C₂⁴	semidirect
565. #532	C₂⁴	semidirect
566. C₂×C₄⋊Q₈	C₂⁴	semidirect
567. C₂×C₄⋊Q₈	C₂⁴	semidirect
568. C₂×C₄⋊Q₈	C₂⁴	semidirect
569. C₂×C₄⋊Q₈	C₂⁴	semidirect
571. C₂×#127	C₂⁴	semidirect
572. #529	C₂⁴	semidirect
573. #529	C₂⁴	semidirect
574. #529	C₂⁴	semidirect
575. #529	C₂⁴	semidirect
576. #529	C₂⁴	semidirect
580. C₂×#126	C₂⁴	semidirect
581. C₂×#126	C₂⁴	semidirect
582. C₂×#126	C₂⁴	semidirect
583. C₂×#126	C₂⁴	semidirect
584. C₂×#126	C₂⁴	semidirect
585. C₂×#126	C₂⁴	semidirect
586. C₂×#125	C₂⁴	semidirect
587. C₂×#125	C₂⁴	semidirect
588. C₂×#125	C₂⁴	semidirect
589. C₂×#125	C₂⁴	semidirect
590. C₂×#125	C₂⁴	semidirect
595. C₂×#124	C₂⁴	semidirect
596. C₂×#124	C₂⁴	semidirect
597. C₂×#124	C₂⁴	semidirect
598. C₂×#124	C₂⁴	semidirect
599. C₂×#124	C₂⁴	semidirect
600. #525	C₂⁴	semidirect
601. #525	C₂⁴	semidirect
602. #525	C₂⁴	semidirect
603. #525	C₂⁴	semidirect
609. C₂×#123	C₂⁴	semidirect
610. C₂×#123	C₂⁴	semidirect
611. C₂×#123	C₂⁴	semidirect
612. C₂×#123	C₂⁴	semidirect
613. C₂×#123	C₂⁴	semidirect
614. C₂×#123	C₂⁴	semidirect
615. C₂×#123	C₂⁴	semidirect
616. C₂×#123	C₂⁴	semidirect
622. C₂×C₂²⋊Q₈	C₂⁴	semidirect
623. C₂×C₂²⋊Q₈	C₂⁴	semidirect
624. C₂×C₂²⋊Q₈	C₂⁴	semidirect
625. C₂×C₂²⋊Q₈	C₂⁴	semidirect
626. C₂×C₂²⋊Q₈	C₂⁴	semidirect
627. C₂×C₂²⋊Q₈	C₂⁴	semidirect
628. C₂×C₂²⋊Q₈	C₂⁴	semidirect
629. C₂×C₂²⋊Q₈	C₂⁴	semidirect
630. C₂×C₂²⋊Q₈	C₂⁴	semidirect
631. C₂×C₂²⋊Q₈	C₂⁴	semidirect
644. C₂×#121	C₂⁴	semidirect
645. C₂×#121	C₂⁴	semidirect
646. C₂×#121	C₂⁴	semidirect
647. C₂×#121	C₂⁴	semidirect
648. C₂×#121	C₂⁴	semidirect
649. C₂×#121	C₂⁴	semidirect
650. C₂×#121	C₂⁴	semidirect
651. C₂×#121	C₂⁴	semidirect
652. C₂×#121	C₂⁴	semidirect
658. C₂×#120	C₂⁴	semidirect
659. C₂×#120	C₂⁴	semidirect
660. #520	C₂⁴	semidirect
661. #520	C₂⁴	semidirect
663. #518	C₂⁴	semidirect
664. #518	C₂⁴	semidirect
665. #518	C₂⁴	semidirect
666. #518	C₂⁴	semidirect
667. C₄×#41	C₂⁴	semidirect
668. C₄×#41	C₂⁴	semidirect
669. C₂×C₄×Q₈	C₂⁴	semidirect
670. C₂×C₄×Q₈	C₂⁴	semidirect
671. C₂×C₄×Q₈	C₂⁴	semidirect
672. C₂×C₄×Q₈	C₂⁴	semidirect
673. C₂×C₄×Q₈	C₂⁴	semidirect
674. C₂×C₄×Q₈	C₂⁴	semidirect
693. C₂×C₄×D₄	C₂⁴	semidirect
694. C₂×C₄×D₄	C₂⁴	semidirect
695. C₂×C₄×D₄	C₂⁴	semidirect
696. C₂×C₄×D₄	C₂⁴	semidirect
697. C₂×C₄×D₄	C₂⁴	semidirect
698. C₂×C₄×D₄	C₂⁴	semidirect
699. C₂×C₄×D₄	C₂⁴	semidirect
700. C₂×C₄×D₄	C₂⁴	semidirect
701. C₂×C₄×D₄	C₂⁴	semidirect
702. C₂×C₄×D₄	C₂⁴	semidirect
703. C₂×C₄×D₄	C₂⁴	semidirect
704. C₂×C₄×D₄	C₂⁴	semidirect
705. C₂×C₄×D₄	C₂⁴	semidirect
706. C₂×C₄×D₄	C₂⁴	semidirect
707. C₂×C₄×D₄	C₂⁴	semidirect
708. C₂×C₄×D₄	C₂⁴	semidirect
709. C₂×C₄×D₄	C₂⁴	semidirect
710. C₂×C₄×D₄	C₂⁴	semidirect
715. C₂×#117	C₂⁴	semidirect
716. C₂×#117	C₂⁴	semidirect
717. C₂×#117	C₂⁴	semidirect
718. C₂×#117	C₂⁴	semidirect
719. C₂×#117	C₂⁴	semidirect
720. C₂×#117	C₂⁴	semidirect
721. C₂×#117	C₂⁴	semidirect
722. C₂×#117	C₂⁴	semidirect
748. C₂²×C₄⋊C₄	C₂⁴	semidirect
749. C₂²×C₄⋊C₄	C₂⁴	semidirect
750. C₂²×C₄⋊C₄	C₂⁴	semidirect
751. C₂²×C₄⋊C₄	C₂⁴	semidirect
752. C₂²×C₄⋊C₄	C₂⁴	semidirect
789. C₂²×C₂²⋊C₄	C₂⁴	semidirect
790. C₂²×C₂²⋊C₄	C₂⁴	semidirect
791. C₂²×C₂²⋊C₄	C₂⁴	semidirect
792. C₂²×C₂²⋊C₄	C₂⁴	semidirect
793. C₂²×C₂²⋊C₄	C₂⁴	semidirect
805. C₂²×C₄²	C₂⁴	semidirect
806. C₂²×C₄²	C₂⁴	semidirect
844. C₂×#41	C₂⁵	semidirect
845. C₂×#41	C₂⁵	semidirect
855. C₂²×Q₈	C₂⁵	semidirect
878. C₂²×D₄	C₂×#41	semidirect
900. C₂²×D₄	C₂⁵	semidirect
966. C₂³×C₄	C₂⁵	semidirect
967. C₄⋊Q₈	C₂⁵	semidirect
968. C₄⋊Q₈	C₂⁵	semidirect
969. C₄⋊Q₈	C₂⁵	semidirect
970. C₄⋊Q₈	C₂⁵	semidirect
972. #127	C₂⁵	semidirect
976. #126	C₂⁵	semidirect
977. #126	C₂⁵	semidirect
978. #126	C₂⁵	semidirect
979. #126	C₂⁵	semidirect
980. #126	C₂⁵	semidirect
981. #125	C₂⁵	semidirect
982. #125	C₂⁵	semidirect
983. #125	C₂⁵	semidirect
984. #125	C₂⁵	semidirect
985. #125	C₂⁵	semidirect
990. #124	C₂⁵	semidirect
991. #124	C₂⁵	semidirect
992. #124	C₂⁵	semidirect
993. #124	C₂⁵	semidirect
999. #123	C₂⁵	semidirect
1000. #123	C₂⁵	semidirect
1001. #123	C₂⁵	semidirect
1002. #123	C₂⁵	semidirect
1003. #123	C₂⁵	semidirect
1004. #123	C₂⁵	semidirect
1005. #123	C₂⁵	semidirect
1011. C₂²⋊Q₈	C₂⁵	semidirect
1012. C₂²⋊Q₈	C₂⁵	semidirect
1013. C₂²⋊Q₈	C₂⁵	semidirect
1014. C₂²⋊Q₈	C₂⁵	semidirect
1015. C₂²⋊Q₈	C₂⁵	semidirect
1016. C₂²⋊Q₈	C₂⁵	semidirect
1017. C₂²⋊Q₈	C₂⁵	semidirect
1018. C₂²⋊Q₈	C₂⁵	semidirect
1019. C₂²⋊Q₈	C₂⁵	semidirect
1032. #121	C₂⁵	semidirect
1033. #121	C₂⁵	semidirect
1034. #121	C₂⁵	semidirect
1035. #121	C₂⁵	semidirect
1036. #121	C₂⁵	semidirect
1037. #121	C₂⁵	semidirect
1038. #121	C₂⁵	semidirect
1044. #120	C₂⁵	semidirect
1045. C₄×Q₈	C₂⁵	semidirect
1046. C₄×Q₈	C₂⁵	semidirect
1047. C₄×Q₈	C₂⁵	semidirect
1048. C₄×Q₈	C₂⁵	semidirect
1049. C₄×Q₈	C₂⁵	semidirect
1050. C₄×Q₈	C₂⁵	semidirect
1067. C₄×D₄	C₂⁵	semidirect
1068. C₄×D₄	C₂⁵	semidirect
1069. C₄×D₄	C₂⁵	semidirect
1070. C₄×D₄	C₂⁵	semidirect
1071. C₄×D₄	C₂⁵	semidirect
1072. C₄×D₄	C₂⁵	semidirect
1073. C₄×D₄	C₂⁵	semidirect
1074. C₄×D₄	C₂⁵	semidirect
1075. C₄×D₄	C₂⁵	semidirect
1076. C₄×D₄	C₂⁵	semidirect
1077. C₄×D₄	C₂⁵	semidirect
1078. C₄×D₄	C₂⁵	semidirect
1083. #117	C₂⁵	semidirect
1084. #117	C₂⁵	semidirect
1085. #117	C₂⁵	semidirect
1086. #117	C₂⁵	semidirect
1087. #117	C₂⁵	semidirect
1088. #117	C₂⁵	semidirect
1114. C₂×C₄⋊C₄	C₂⁵	semidirect
1115. C₂×C₄⋊C₄	C₂⁵	semidirect
1116. C₂×C₄⋊C₄	C₂⁵	semidirect
1117. C₂×C₄⋊C₄	C₂⁵	semidirect
1118. C₂×C₄⋊C₄	C₂⁵	semidirect
1155. C₂×C₂²⋊C₄	C₂⁵	semidirect
1156. C₂×C₂²⋊C₄	C₂⁵	semidirect
1157. C₂×C₂²⋊C₄	C₂⁵	semidirect
1169. C₂×C₄²	C₂⁵	semidirect
1170. C₂×C₄²	C₂⁵	semidirect
1255. C₂×D₄	C₂²×#41	semidirect
1528. C₂²	#62846	direct (N × H)
1552. C₂	C₂×#62846	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×#62846	2
C₂²×#3521	2
C₂²×#3514	2
C₂²×#3493	2
C₂²×#3519	2
C₂²×#3513	2
C₂²×#3506	2
C₂²×#3505	2
C₂²×#3490	2
C₂²×#3501	2
C₂²×#3496	2
C₂²×#3484	2
C₂²×#3455	2
C₂²×#3460	2
C₂²×#3459	2
C₂³×#538	2
C₂²×C₄×H(5,𝔽₂)	2
C₂³×#518	2

Subgroups — C22×#62846 #72299717

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#62846 #72299717