Subgroups — C₂×#62875 #10586209

Order 512.

34634 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62875	C₂	1	64	yes	maximal, direct product factor
2	C₂×#3495	C₂	1	2	yes	maximal, complemented
3	C₂×#3489	C₂	1	2	yes	maximal, complemented
4	C₂×#3494	C₂	1	2	yes	maximal, complemented
5	C₂×#3488	C₂	1	2	yes	maximal, complemented
6	C₂×#3487	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#3485	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#3492	C₂	1	2	yes	maximal, complemented
9	C₂×#3548	C₂	1	4	yes	maximal, complemented
10	C₂×#3547	C₂	1	4	yes	maximal, complemented
11	C₂×#3546	C₂	1	4	yes	maximal, complemented
12	C₂×#3551	C₂	1	4	yes	maximal, complemented
13	C₂×#3539	C₂	1	4	yes	maximal, complemented
14	C₂×#3536	C₂	1	4	yes	maximal, complemented
15	C₂×#3535	C₂	1	4	yes	maximal, complemented
16	C₂×#3534	C₂	1	4	yes	maximal, complemented
17	C₂×#3541	C₂	1	4	yes	maximal, complemented
18	C₂×#3542	C₂	1	4	yes	maximal, complemented
19	C₂×#3542	C₂	1	8	yes	maximal, complemented
20	C₂×#3449	C₂	1	2	yes	maximal, complemented
21	C₂²×#537	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
23	C₂²×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
24	C₂³×#41	C₂²	1	1	yes	characteristic, complemented
25	C₂³×#41	C₂²	1	2	yes	complemented
26	C₂³×#41	C₂²	1	1	yes	characteristic, complemented
27	#3551	C₂²	1	128	yes	complemented
28	#3548	C₂²	1	128	yes	complemented
29	#3547	C₂²	1	128	yes	complemented
30	#3546	C₂²	1	128	yes	complemented
31	#3542	C₂²	1	256	yes	complemented
32	#3542	C₂²	1	128	yes	complemented
33	#3541	C₂²	1	128	yes	complemented
34	#3539	C₂²	1	128	yes	complemented
35	#3536	C₂²	1	128	yes	complemented
36	#3535	C₂²	1	128	yes	complemented
37	#3534	C₂²	1	128	yes	complemented
38	C₂×#563	C₂²	1	8	yes	complemented
39	C₂×#562	C₂²	1	8	yes	complemented
40	C₂×#562	C₂²	1	8	yes	complemented
41	C₂×#562	C₂²	1	8	yes	complemented
42	C₂×#562	C₂²	1	8	yes	complemented
43	C₂×#560	C₂²	1	8	yes	complemented
44	C₂×#560	C₂²	1	8	yes	complemented
45	C₂×#560	C₂²	1	8	yes	complemented
46	#3495	C₂²	1	64	yes	complemented
47	#3494	C₂²	1	64	yes	complemented
48	#3492	C₂²	1	64	yes	complemented
49	#3489	C₂²	1	64	yes	complemented
50	#3488	C₂²	1	64	yes	complemented
51	#3487	C₂²	1	32	yes	complemented
52	#3485	C₂²	1	32	yes	complemented
53	C₂×#556	C₂²	1	4	yes	complemented
54	C₂×#555	C₂²	1	8	yes	complemented
55	C₂×#555	C₂²	1	4	yes	complemented
56	C₂×#554	C₂²	1	8	yes	complemented
57	C₂×#554	C₂²	1	4	yes	complemented
58	C₂×#554	C₂²	1	4	yes	complemented
59	C₂×#554	C₂²	1	4	yes	complemented
60	C₂×#553	C₂²	1	8	yes	complemented
61	C₂×#553	C₂²	1	4	yes	complemented
62	C₂×#553	C₂²	1	8	yes	complemented
63	C₂×#553	C₂²	1	4	yes	complemented
64	C₂×#553	C₂²	1	4	yes	complemented
65	C₂×#553	C₂²	1	4	yes	complemented
66	C₂×#552	C₂²	1	4	yes	complemented
67	C₂×#552	C₂²	1	8	yes	complemented
68	C₂×#552	C₂²	1	4	yes	complemented
69	C₂×#552	C₂²	1	4	yes	complemented
70	C₂×#552	C₂²	1	4	yes	complemented
71	C₂×#551	C₂²	1	8	yes	complemented
72	C₂×#551	C₂²	1	8	yes	complemented
73	C₂×#551	C₂²	1	8	yes	complemented
74	C₂×#550	C₂²	1	4	yes	complemented
75	C₂×#550	C₂²	1	4	yes	complemented
76	C₂×#550	C₂²	1	8	yes	complemented
77	C₂×#550	C₂²	1	4	yes	complemented
78	C₂×D₄×Q₈	C₂²	1	4	yes	complemented
79	C₂×#548	C₂²	1	4	yes	complemented
80	C₂×#548	C₂²	1	4	yes	complemented
81	C₂×#548	C₂²	1	4	yes	complemented
82	C₂×#548	C₂²	1	4	yes	complemented
83	C₂×#547	C₂²	1	4	yes	complemented
84	C₂×#547	C₂²	1	8	yes	complemented
85	C₂×#547	C₂²	1	4	yes	complemented
86	C₂×#547	C₂²	1	4	yes	complemented
87	C₂×#547	C₂²	1	4	yes	complemented
88	C₂×#547	C₂²	1	4	yes	complemented
89	C₂×#547	C₂²	1	4	yes	complemented
90	C₂×#546	C₂²	1	8	yes	complemented
91	C₂×#546	C₂²	1	8	yes	complemented
92	C₂×#546	C₂²	1	8	yes	complemented
93	C₂×#546	C₂²	1	8	yes	complemented
94	C₂×#546	C₂²	1	4	yes	complemented
95	C₂×#546	C₂²	1	4	yes	complemented
96	C₂×#546	C₂²	1	8	yes	complemented
97	C₂×#546	C₂²	1	4	yes	complemented
98	C₂×#546	C₂²	1	4	yes	complemented
99	C₂×D₄²	C₂²	1	8	yes	complemented
100	C₂×D₄²	C₂²	1	4	yes	complemented
101	C₂×#544	C₂²	1	4	yes	complemented
102	C₂×#544	C₂²	1	2	yes	complemented
103	C₂×#543	C₂²	1	4	yes	complemented
104	C₂×#542	C₂²	1	4	yes	complemented
105	C₂×#542	C₂²	1	8	yes	complemented
106	C₂×#542	C₂²	1	8	yes	complemented
107	C₂×#542	C₂²	1	4	yes	complemented
108	C₂×#541	C₂²	1	4	yes	complemented
109	C₂×#540	C₂²	1	8	yes	complemented
110	C₂×#540	C₂²	1	8	yes	complemented
111	C₂×#540	C₂²	1	8	yes	complemented
112	C₂×#540	C₂²	1	4	yes	complemented
113	C₂×#540	C₂²	1	8	yes	complemented
114	C₂×#539	C₂²	1	4	yes	complemented
115	C₂×#539	C₂²	1	8	yes	complemented
116	C₂×#539	C₂²	1	8	yes	complemented
117	C₂×#539	C₂²	1	4	yes	complemented
118	C₂×#538	C₂²	1	8	yes	complemented
119	C₂×#538	C₂²	1	8	yes	complemented
120	C₂×#538	C₂²	1	4	yes	complemented
121	C₂×#538	C₂²	1	4	yes	complemented
122	C₂×#538	C₂²	1	8	yes	complemented
123	#3449	C₂²	1	64	yes	complemented
124	C₂×#537	C₂²	1	2	yes	—
125	C₂×#537	C₂²	1	4	yes	complemented
126	C₂×#537	C₂²	1	4	yes	complemented
127	C₂×#537	C₂²	1	2	yes	complemented
128	C₂×#537	C₂²	1	4	yes	complemented
129	C₂×#537	C₂²	1	8	yes	complemented
130	C₂×#537	C₂²	1	2	yes	complemented
131	C₂×#537	C₂²	1	2	yes	complemented
132	C₂×#537	C₂²	1	4	yes	complemented
133	C₂×#537	C₂²	1	4	yes	complemented
134	C₂×#537	C₂²	1	4	yes	complemented
135	C₂×#537	C₂²	1	4	yes	complemented
136	C₂×#537	C₂²	1	2	yes	complemented
137	C₂×#537	C₂²	1	32	yes	complemented
138	C₂×#536	C₂²	1	2	yes	complemented
139	C₂×#536	C₂²	1	4	yes	complemented
140	C₂×#536	C₂²	1	4	yes	complemented
141	C₂×#536	C₂²	1	2	yes	complemented
142	C₂×#536	C₂²	1	2	yes	complemented
143	C₂×#535	C₂²	1	4	yes	complemented
144	C₂×#535	C₂²	1	2	yes	complemented
145	C₂×#535	C₂²	1	8	yes	complemented
146	C₂×#535	C₂²	1	2	yes	complemented
147	C₂×#535	C₂²	1	4	yes	complemented
148	C₂×#535	C₂²	1	4	yes	complemented
149	C₂×#535	C₂²	1	2	yes	complemented
150	C₂×#534	C₂²	1	4	yes	complemented
151	C₂×#534	C₂²	1	4	yes	complemented
152	C₂×#534	C₂²	1	4	yes	complemented
153	C₂×#534	C₂²	1	4	yes	complemented
154	C₂×#533	C₂²	1	4	yes	complemented
155	C₂×#532	C₂²	1	4	yes	complemented
156	C₂×#532	C₂²	1	4	yes	complemented
157	C₂×#532	C₂²	1	4	yes	complemented
158	C₂×#529	C₂²	1	4	yes	complemented
159	C₂×#529	C₂²	1	4	yes	complemented
160	C₂×#525	C₂²	1	2	yes	—
161	C₂×#525	C₂²	1	4	yes	complemented
162	C₂×#525	C₂²	1	4	yes	complemented
163	C₂×#525	C₂²	1	4	yes	complemented
164	C₂×#525	C₂²	1	4	yes	complemented
165	C₂×#525	C₂²	1	4	yes	complemented
166	C₂×#525	C₂²	1	2	yes	complemented
167	C₂×#525	C₂²	1	2	yes	complemented
168	C₂×#525	C₂²	1	8	yes	complemented
169	C₂×#525	C₂²	1	2	yes	complemented
170	C₂²×#123	C₂²	1	4	yes	complemented
171	C₂²×C₂²⋊Q₈	C₂²	1	4	yes	complemented
172	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
173	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
174	C₂²×#121	C₂²	1	2	yes	complemented
175	C₂²×#121	C₂²	1	4	yes	complemented
176	C₂²×#121	C₂²	1	2	yes	complemented
177	C₂²×#121	C₂²	1	4	yes	complemented
178	C₂×#520	C₂²	1	2	yes	complemented
179	C₂×#520	C₂²	1	2	yes	complemented
180	C₂×#519	C₂²	1	1	yes	characteristic, complemented
181	C₂×#518	C₂²	1	1	yes	characteristic, complemented
182	C₂²×#117	C₂²	1	2	yes	complemented
183	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₂×2₋¹⁺⁴	—	4	8	no	—
185	C₂×2₋¹⁺⁴	C₂³	1	16	yes	complemented
186	C₂×H(5,𝔽₂)	—	4	8	no	—
187	C₂×H(5,𝔽₂)	C₂³	1	16	yes	—
188	C₂²×#41	—	4	8	no	—
189	C₂²×#41	—	4	8	no	—
190	C₂²×#41	—	4	16	no	—
191	C₂²×#41	C₂³	1	2	yes	—
192	C₂²×#41	C₂³	1	2	yes	—
193	C₂²×#41	C₂³	1	2	yes	—
194	C₂²×#41	C₂³	1	2	yes	—
195	C₂²×#41	C₂³	1	2	yes	—
196	C₂²×#41	C₂³	1	4	yes	—
197	C₂²×#41	C₂³	1	2	yes	—
198	C₂²×#41	C₂³	1	4	yes	—
199	C₂²×#41	C₂³	1	2	yes	—
200	C₂²×#41	C₂³	1	4	yes	—
201	C₂²×#41	C₂³	1	4	yes	—
202	C₂²×#41	C₂³	1	2	yes	—
203	C₂²×#41	C₂³	1	4	yes	—
204	C₂²×#41	C₂³	1	4	yes	—
205	C₂²×#41	C₂³	1	4	yes	—
206	C₂²×#41	C₂³	1	8	yes	—
207	C₂²×#41	C₂³	1	8	yes	—
208	C₂²×#41	C₂³	1	16	yes	complemented
209	C₂²×#41	C₂³	1	16	yes	complemented
210	C₂²×#41	C₂³	1	32	yes	complemented
211	C₂³×Q₈	C₂³	1	1	yes	characteristic
212	C₂³×Q₈	C₂³	1	1	yes	characteristic
213	C₂³×Q₈	C₂³	1	2	yes	—
214	C₂³×Q₈	C₂³	1	4	yes	—
215	C₂³×D₄	C₂³	1	1	yes	characteristic
216	C₂³×D₄	C₂³	1	1	yes	characteristic
217	C₂³×D₄	C₂³	1	2	yes	—
218	C₂³×D₄	C₂³	1	2	yes	—
219	C₂³×D₄	C₂³	1	4	yes	—
220	C₂³×D₄	C₂³	1	2	yes	—
221	C₂³×D₄	C₂³	1	4	yes	—
222	C₂³×D₄	C₂³	1	4	yes	—
223	C₂³×D₄	C₂³	1	4	yes	—
224	C₂³×D₄	C₂³	1	8	yes	—
225	C₂⁴×C₄	C₂³	1	1	yes	characteristic
226	C₂⁴×C₄	C₂³	1	2	yes	—
227	C₂⁴×C₄	C₂³	1	2	yes	—
228	C₂⁴×C₄	C₂³	1	4	yes	—
229	C₂⁴×C₄	C₂³	1	2	yes	—
230	#563	C₂³	1	128	yes	complemented
231	#562	C₂³	1	128	yes	complemented
232	#562	C₂³	1	128	yes	complemented
233	#562	C₂³	1	128	yes	complemented
234	#562	C₂³	1	128	yes	complemented
235	#560	C₂³	1	128	yes	complemented
236	#560	C₂³	1	128	yes	complemented
237	#560	C₂³	1	128	yes	complemented
238	#556	C₂³	1	64	yes	complemented
239	#555	C₂³	1	64	yes	complemented
240	#555	C₂³	1	128	yes	complemented
241	#554	C₂³	1	64	yes	complemented
242	#554	C₂³	1	64	yes	complemented
243	#554	C₂³	1	64	yes	complemented
244	#554	C₂³	1	128	yes	complemented
245	#553	C₂³	1	64	yes	complemented
246	#553	C₂³	1	64	yes	complemented
247	#553	C₂³	1	64	yes	complemented
248	#553	C₂³	1	64	yes	complemented
249	#553	C₂³	1	128	yes	complemented
250	#553	C₂³	1	128	yes	complemented
251	#552	C₂³	1	64	yes	complemented
252	#552	C₂³	1	64	yes	complemented
253	#552	C₂³	1	128	yes	complemented
254	#552	C₂³	1	64	yes	complemented
255	#552	C₂³	1	64	yes	complemented
256	#551	C₂³	1	128	yes	complemented
257	#551	C₂³	1	128	yes	complemented
258	#551	C₂³	1	128	yes	complemented
259	#550	C₂³	1	64	yes	complemented
260	#550	C₂³	1	64	yes	complemented
261	#550	C₂³	1	64	yes	complemented
262	#550	C₂³	1	128	yes	complemented
263	D₄×Q₈	C₂³	1	64	yes	complemented
264	#548	C₂³	1	64	yes	complemented
265	#548	C₂³	1	64	yes	complemented
266	#548	C₂³	1	64	yes	complemented
267	#548	C₂³	1	64	yes	complemented
268	#547	C₂³	1	64	yes	complemented
269	#547	C₂³	1	64	yes	complemented
270	#547	C₂³	1	128	yes	complemented
271	#547	C₂³	1	64	yes	complemented
272	#547	C₂³	1	64	yes	complemented
273	#547	C₂³	1	64	yes	complemented
274	#547	C₂³	1	64	yes	complemented
275	#546	C₂³	1	64	yes	complemented
276	#546	C₂³	1	64	yes	complemented
277	#546	C₂³	1	128	yes	complemented
278	#546	C₂³	1	64	yes	complemented
279	#546	C₂³	1	128	yes	complemented
280	#546	C₂³	1	64	yes	complemented
281	#546	C₂³	1	128	yes	complemented
282	#546	C₂³	1	128	yes	complemented
283	#546	C₂³	1	128	yes	complemented
284	D₄²	C₂³	1	128	yes	complemented
285	D₄²	C₂³	1	64	yes	complemented
286	#544	C₂³	1	32	yes	complemented
287	#544	C₂³	1	64	yes	complemented
288	#543	C₂³	1	64	yes	complemented
289	#542	C₂³	1	64	yes	complemented
290	#542	C₂³	1	64	yes	complemented
291	#542	C₂³	1	128	yes	complemented
292	#542	C₂³	1	128	yes	complemented
293	#541	C₂³	1	64	yes	complemented
294	#540	C₂³	1	64	yes	complemented
295	#540	C₂³	1	128	yes	complemented
296	#540	C₂³	1	128	yes	complemented
297	#540	C₂³	1	128	yes	complemented
298	#540	C₂³	1	128	yes	complemented
299	#539	C₂³	1	128	yes	complemented
300	#539	C₂³	1	64	yes	complemented
301	#539	C₂³	1	128	yes	complemented
302	#539	C₂³	1	64	yes	complemented
303	#538	C₂³	1	128	yes	complemented
304	#538	C₂³	1	64	yes	complemented
305	#538	C₂³	1	64	yes	complemented
306	#538	C₂³	1	128	yes	complemented
307	#538	C₂³	1	128	yes	complemented
308	#537	C₂³	1	32	yes	—
309	#537	C₂³	1	64	yes	complemented
310	#537	C₂³	1	64	yes	complemented
311	#537	C₂³	1	64	yes	complemented
312	#537	C₂³	1	64	yes	complemented
313	#537	C₂³	1	32	yes	complemented
314	#537	C₂³	1	32	yes	complemented
315	#537	C₂³	1	32	yes	complemented
316	#537	C₂³	1	32	yes	complemented
317	#537	C₂³	1	64	yes	complemented
318	#537	C₂³	1	64	yes	complemented
319	#537	C₂³	1	64	yes	complemented
320	#537	C₂³	1	128	yes	complemented
321	#536	C₂³	1	64	yes	complemented
322	#536	C₂³	1	32	yes	complemented
323	#536	C₂³	1	32	yes	complemented
324	#536	C₂³	1	32	yes	complemented
325	#536	C₂³	1	64	yes	complemented
326	#535	C₂³	1	64	yes	complemented
327	#535	C₂³	1	32	yes	complemented
328	#535	C₂³	1	32	yes	complemented
329	#535	C₂³	1	32	yes	complemented
330	#535	C₂³	1	64	yes	complemented
331	#535	C₂³	1	64	yes	complemented
332	#535	C₂³	1	128	yes	complemented
333	#534	C₂³	1	64	yes	complemented
334	#534	C₂³	1	64	yes	complemented
335	#534	C₂³	1	64	yes	complemented
336	#534	C₂³	1	64	yes	complemented
337	#533	C₂³	1	64	yes	complemented
338	#532	C₂³	1	64	yes	complemented
339	#532	C₂³	1	64	yes	complemented
340	#532	C₂³	1	64	yes	complemented
341	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
342	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
343	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
344	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
345	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
346	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
347	C₂×#127	C₂³	1	4	yes	—
348	C₂×#127	C₂³	1	4	yes	—
349	C₂×#127	C₂³	1	4	yes	—
350	C₂×#127	C₂³	1	8	yes	—
351	C₂×#127	C₂³	1	8	yes	—
352	#529	C₂³	1	64	yes	complemented
353	#529	C₂³	1	64	yes	complemented
354	C₂×#126	C₂³	1	8	yes	—
355	C₂×#126	C₂³	1	8	yes	—
356	C₂×#126	C₂³	1	8	yes	—
357	C₂×#126	C₂³	1	8	yes	—
358	C₂×#126	C₂³	1	8	yes	—
359	C₂×#126	C₂³	1	8	yes	—
360	C₂×#126	C₂³	1	8	yes	—
361	C₂×#126	C₂³	1	8	yes	—
362	C₂×#125	C₂³	1	4	yes	—
363	C₂×#125	C₂³	1	4	yes	—
364	C₂×#125	C₂³	1	8	yes	—
365	C₂×#125	C₂³	1	8	yes	—
366	C₂×#125	C₂³	1	8	yes	—
367	C₂×#125	C₂³	1	8	yes	—
368	C₂×#125	C₂³	1	8	yes	—
369	C₂×#124	C₂³	1	4	yes	—
370	C₂×#124	C₂³	1	4	yes	—
371	C₂×#124	C₂³	1	4	yes	—
372	C₂×#124	C₂³	1	4	yes	—
373	C₂×#124	C₂³	1	4	yes	—
374	C₂×#124	C₂³	1	4	yes	—
375	C₂×#124	C₂³	1	8	yes	—
376	C₂×#124	C₂³	1	8	yes	—
377	C₂×#124	C₂³	1	8	yes	—
378	C₂×#124	C₂³	1	8	yes	—
379	C₂×#124	C₂³	1	8	yes	—
380	C₂×#124	C₂³	1	8	yes	—
381	#525	C₂³	1	32	yes	—
382	#525	C₂³	1	32	yes	complemented
383	#525	C₂³	1	32	yes	complemented
384	#525	C₂³	1	32	yes	complemented
385	#525	C₂³	1	64	yes	complemented
386	#525	C₂³	1	64	yes	complemented
387	#525	C₂³	1	64	yes	complemented
388	#525	C₂³	1	64	yes	complemented
389	#525	C₂³	1	64	yes	complemented
390	#525	C₂³	1	128	yes	complemented
391	C₂×#123	C₂³	1	4	yes	—
392	C₂×#123	C₂³	1	8	yes	—
393	C₂×#123	C₂³	1	8	yes	—
394	C₂×#123	C₂³	1	8	yes	—
395	C₂×#123	C₂³	1	4	yes	—
396	C₂×#123	C₂³	1	4	yes	—
397	C₂×#123	C₂³	1	4	yes	—
398	C₂×#123	C₂³	1	4	yes	—
399	C₂×#123	C₂³	1	4	yes	—
400	C₂×#123	C₂³	1	4	yes	—
401	C₂×#123	C₂³	1	4	yes	—
402	C₂×#123	C₂³	1	8	yes	—
403	C₂×#123	C₂³	1	8	yes	—
404	C₂×#123	C₂³	1	8	yes	—
405	C₂×#123	C₂³	1	8	yes	—
406	C₂×#123	C₂³	1	8	yes	—
407	C₂×#123	C₂³	1	8	yes	—
408	C₂×#123	C₂³	1	8	yes	—
409	C₂×#123	C₂³	1	8	yes	—
410	C₂×#123	C₂³	1	8	yes	—
411	C₂×#123	C₂³	1	8	yes	—
412	C₂×#123	C₂³	1	8	yes	—
413	C₂×#123	C₂³	1	8	yes	—
414	C₂×#123	C₂³	1	8	yes	—
415	C₂×#123	C₂³	1	8	yes	—
416	C₂×#123	C₂³	1	8	yes	—
417	C₂×#123	C₂³	1	64	yes	complemented
418	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
419	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
420	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
421	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
422	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
423	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
424	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
425	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
426	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
427	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
428	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
429	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
430	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
431	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
432	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
433	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
434	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
435	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
436	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
437	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
438	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
439	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
440	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
441	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
442	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
443	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
444	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
445	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
446	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
447	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
448	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
449	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
450	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
451	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
452	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
453	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
454	C₂×C₂²⋊Q₈	C₂³	1	32	yes	complemented
455	C₂×C₂²⋊Q₈	C₂³	1	32	yes	complemented
456	C₂×C₂²⋊Q₈	C₂³	1	64	yes	complemented
457	C₂×#121	C₂³	1	2	yes	—
458	C₂×#121	C₂³	1	4	yes	—
459	C₂×#121	C₂³	1	4	yes	—
460	C₂×#121	C₂³	1	4	yes	—
461	C₂×#121	C₂³	1	4	yes	—
462	C₂×#121	C₂³	1	8	yes	—
463	C₂×#121	C₂³	1	4	yes	—
464	C₂×#121	C₂³	1	8	yes	—
465	C₂×#121	C₂³	1	4	yes	—
466	C₂×#121	C₂³	1	4	yes	—
467	C₂×#121	C₂³	1	4	yes	—
468	C₂×#121	C₂³	1	8	yes	—
469	C₂×#121	C₂³	1	8	yes	—
470	C₂×#121	C₂³	1	8	yes	—
471	C₂×#121	C₂³	1	8	yes	—
472	C₂×#121	C₂³	1	8	yes	—
473	C₂×#121	C₂³	1	2	yes	—
474	C₂×#121	C₂³	1	2	yes	—
475	C₂×#121	C₂³	1	2	yes	—
476	C₂×#121	C₂³	1	4	yes	—
477	C₂×#121	C₂³	1	4	yes	—
478	C₂×#121	C₂³	1	4	yes	—
479	C₂×#121	C₂³	1	4	yes	—
480	C₂×#121	C₂³	1	2	yes	—
481	C₂×#121	C₂³	1	2	yes	—
482	C₂×#121	C₂³	1	4	yes	—
483	C₂×#121	C₂³	1	2	yes	—
484	C₂×#121	C₂³	1	2	yes	—
485	C₂×#121	C₂³	1	4	yes	—
486	C₂×#121	C₂³	1	8	yes	—
487	C₂×#121	C₂³	1	4	yes	—
488	C₂×#121	C₂³	1	8	yes	—
489	C₂×#121	C₂³	1	4	yes	—
490	C₂×#121	C₂³	1	4	yes	—
491	C₂×#121	C₂³	1	4	yes	—
492	C₂×#121	C₂³	1	4	yes	—
493	C₂×#121	C₂³	1	4	yes	—
494	C₂×#121	C₂³	1	4	yes	—
495	C₂×#121	C₂³	1	4	yes	—
496	C₂×#121	C₂³	1	4	yes	—
497	C₂×#121	C₂³	1	4	yes	—
498	C₂×#121	C₂³	1	8	yes	—
499	C₂×#121	C₂³	1	8	yes	—
500	C₂×#121	C₂³	1	8	yes	—
501	C₂×#121	C₂³	1	8	yes	—
502	C₂×#121	C₂³	1	8	yes	—
503	C₂×#121	C₂³	1	8	yes	—
504	C₂×#121	C₂³	1	8	yes	—
505	C₂×#121	C₂³	1	8	yes	—
506	C₂×#121	C₂³	1	8	yes	—
507	C₂×#121	C₂³	1	8	yes	—
508	C₂×#121	C₂³	1	8	yes	—
509	C₂×#121	C₂³	1	8	yes	—
510	C₂×#121	C₂³	1	8	yes	—
511	C₂×#121	C₂³	1	32	yes	complemented
512	C₂×#121	C₂³	1	32	yes	complemented
513	C₂×#121	C₂³	1	64	yes	complemented
514	C₂×#121	C₂³	1	64	yes	complemented
515	C₂×#120	C₂³	1	4	yes	—
516	C₂×#120	C₂³	1	4	yes	—
517	C₂×#120	C₂³	1	4	yes	—
518	C₂×#120	C₂³	1	4	yes	—
519	C₂×#120	C₂³	1	4	yes	—
520	C₂×#120	C₂³	1	4	yes	—
521	C₂×#120	C₂³	1	4	yes	—
522	C₂×#120	C₂³	1	8	yes	—
523	C₂×#120	C₂³	1	4	yes	—
524	C₂×#120	C₂³	1	8	yes	—
525	C₂×#120	C₂³	1	8	yes	—
526	C₂×#120	C₂³	1	8	yes	—
527	C₂×#120	C₂³	1	8	yes	—
528	C₂×#120	C₂³	1	8	yes	—
529	#520	C₂³	1	32	yes	complemented
530	#520	C₂³	1	32	yes	complemented
531	#519	C₂³	1	16	yes	complemented
532	#518	C₂³	1	16	yes	complemented
533	C₂×C₄×Q₈	C₂³	1	4	yes	—
534	C₂×C₄×Q₈	C₂³	1	4	yes	—
535	C₂×C₄×Q₈	C₂³	1	4	yes	—
536	C₂×C₄×Q₈	C₂³	1	4	yes	—
537	C₂×C₄×Q₈	C₂³	1	8	yes	—
538	C₂×C₄×D₄	C₂³	1	4	yes	—
539	C₂×C₄×D₄	C₂³	1	4	yes	—
540	C₂×C₄×D₄	C₂³	1	8	yes	—
541	C₂×C₄×D₄	C₂³	1	8	yes	—
542	C₂×C₄×D₄	C₂³	1	4	yes	—
543	C₂×C₄×D₄	C₂³	1	4	yes	—
544	C₂×C₄×D₄	C₂³	1	4	yes	—
545	C₂×C₄×D₄	C₂³	1	4	yes	—
546	C₂×C₄×D₄	C₂³	1	4	yes	—
547	C₂×C₄×D₄	C₂³	1	4	yes	—
548	C₂×C₄×D₄	C₂³	1	4	yes	—
549	C₂×C₄×D₄	C₂³	1	4	yes	—
550	C₂×C₄×D₄	C₂³	1	4	yes	—
551	C₂×C₄×D₄	C₂³	1	4	yes	—
552	C₂×C₄×D₄	C₂³	1	8	yes	—
553	C₂×C₄×D₄	C₂³	1	8	yes	—
554	C₂×C₄×D₄	C₂³	1	8	yes	—
555	C₂×C₄×D₄	C₂³	1	8	yes	—
556	C₂×C₄×D₄	C₂³	1	8	yes	—
557	C₂×C₄×D₄	C₂³	1	8	yes	—
558	C₂×C₄×D₄	C₂³	1	8	yes	—
559	C₂×C₄×D₄	C₂³	1	8	yes	—
560	C₂×C₄×D₄	C₂³	1	8	yes	—
561	C₂×C₄×D₄	C₂³	1	8	yes	—
562	C₂×C₄×D₄	C₂³	1	8	yes	—
563	C₂×#117	C₂³	1	2	yes	—
564	C₂×#117	C₂³	1	2	yes	—
565	C₂×#117	C₂³	1	4	yes	—
566	C₂×#117	C₂³	1	4	yes	—
567	C₂×#117	C₂³	1	2	yes	—
568	C₂×#117	C₂³	1	2	yes	—
569	C₂×#117	C₂³	1	4	yes	—
570	C₂×#117	C₂³	1	4	yes	—
571	C₂×#117	C₂³	1	4	yes	—
572	C₂×#117	C₂³	1	8	yes	—
573	C₂×#117	C₂³	1	8	yes	—
574	C₂×#117	C₂³	1	8	yes	—
575	C₂×#117	C₂³	1	8	yes	—
576	C₂×#117	C₂³	1	32	yes	complemented
577	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
578	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
579	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
580	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
581	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
582	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
583	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
584	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
585	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
586	C₂²×C₄⋊C₄	C₂³	1	8	yes	—
587	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
588	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
589	C₂²×C₄⋊C₄	C₂³	1	16	yes	complemented
590	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
591	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
592	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
593	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
594	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
595	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
596	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
597	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
598	C₂²×C₄²	C₂³	1	4	yes	—
599	C₂⁵	C₂⁴	1	2	yes	—
600	C₂⁵	C₂⁴	1	2	yes	—
601	C₂⁵	C₂⁴	1	1	yes	characteristic
602	C₂⁵	C₂⁴	1	4	yes	—
603	C₂⁵	C₂⁴	1	4	yes	—
604	2₋¹⁺⁴	—	4	64	no	—
605	H(5,𝔽₂)	—	4	64	no	—
606	C₂×#41	—	2	16	no	—
607	C₂×#41	—	2	16	no	—
608	C₂×#41	—	4	8	no	—
609	C₂×#41	—	4	8	no	—
610	C₂×#41	—	4	8	no	—
611	C₂×#41	—	4	8	no	—
612	C₂×#41	—	4	16	no	—
613	C₂×#41	—	4	64	no	—
614	C₂×#41	—	4	16	no	—
615	C₂×#41	—	4	16	no	—
616	C₂×#41	—	4	16	no	—
617	C₂×#41	—	4	16	no	—
618	C₂×#41	—	4	8	no	—
619	C₂×#41	—	4	8	no	—
620	C₂×#41	—	4	64	no	—
621	C₂×#41	—	4	16	no	—
622	C₂×#41	—	4	16	no	—
623	C₂×#41	—	4	128	no	—
624	C₂×#41	—	8	16	no	—
625	C₂×#41	—	8	16	no	—
626	C₂×#41	C₂⁴	1	16	yes	—
627	C₂×#41	C₂⁴	1	16	yes	—
628	C₂×#41	C₂⁴	1	16	yes	—
629	C₂×#41	C₂⁴	1	16	yes	—
630	C₂×#41	C₂⁴	1	32	yes	—
631	C₂×#41	C₂⁴	1	32	yes	—
632	C₂×#41	C₂⁴	1	32	yes	—
633	C₂×#41	C₂⁴	1	16	yes	—
634	C₂×#41	C₂⁴	1	32	yes	—
635	C₂×#41	C₂⁴	1	16	yes	—
636	C₂×#41	C₂⁴	1	32	yes	—
637	C₂×#41	C₂⁴	1	16	yes	—
638	C₂×#41	C₂⁴	1	32	yes	—
639	C₂×#41	C₂⁴	1	32	yes	—
640	C₂×#41	C₂⁴	1	16	yes	—
641	C₂×#41	C₂⁴	1	64	yes	—
642	C₂×#41	C₂⁴	1	64	yes	—
643	C₂²×Q₈	—	2	8	no	—
644	C₂²×Q₈	—	4	4	no	—
645	C₂²×Q₈	—	4	8	no	—
646	C₂²×Q₈	—	4	16	no	—
647	C₂²×Q₈	C₂⁴	1	2	yes	—
648	C₂²×Q₈	C₂⁴	1	4	yes	—
649	C₂²×Q₈	C₂⁴	1	2	yes	—
650	C₂²×Q₈	C₂⁴	1	8	yes	—
651	C₂²×Q₈	C₂⁴	1	8	yes	—
652	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
653	C₂²×Q₈	C₂⁴	1	2	yes	—
654	C₂²×Q₈	C₂⁴	1	4	yes	—
655	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
656	C₂²×Q₈	C₂⁴	1	4	yes	—
657	C₂²×Q₈	C₂⁴	1	8	yes	—
658	C₂²×Q₈	C₂⁴	1	32	yes	—
659	C₂²×Q₈	C₂⁴	1	16	yes	—
660	C₂²×D₄	—	2	8	no	—
661	C₂²×D₄	—	4	8	no	—
662	C₂²×D₄	—	4	16	no	—
663	C₂²×D₄	—	4	4	no	—
664	C₂²×D₄	—	4	8	no	—
665	C₂²×D₄	—	4	8	no	—
666	C₂²×D₄	—	4	16	no	—
667	C₂²×D₄	—	4	16	no	—
668	C₂²×D₄	—	8	8	no	—
669	C₂²×D₄	—	8	16	no	—
670	C₂²×D₄	C₂⁴	1	4	yes	—
671	C₂²×D₄	C₂⁴	1	4	yes	—
672	C₂²×D₄	C₂⁴	1	2	yes	—
673	C₂²×D₄	C₂⁴	1	4	yes	—
674	C₂²×D₄	C₂⁴	1	2	yes	—
675	C₂²×D₄	C₂⁴	1	8	yes	—
676	C₂²×D₄	C₂⁴	1	4	yes	—
677	C₂²×D₄	C₂⁴	1	4	yes	—
678	C₂²×D₄	C₂⁴	1	4	yes	—
679	C₂²×D₄	C₂⁴	1	8	yes	—
680	C₂²×D₄	C₂⁴	1	4	yes	—
681	C₂²×D₄	C₂⁴	1	4	yes	—
682	C₂²×D₄	C₂⁴	1	4	yes	—
683	C₂²×D₄	C₂⁴	1	8	yes	—
684	C₂²×D₄	C₂⁴	1	4	yes	—
685	C₂²×D₄	C₂⁴	1	4	yes	—
686	C₂²×D₄	C₂⁴	1	8	yes	—
687	C₂²×D₄	C₂⁴	1	8	yes	—
688	C₂²×D₄	C₂⁴	1	8	yes	—
689	C₂²×D₄	C₂⁴	1	1	yes	characteristic
690	C₂²×D₄	C₂⁴	1	2	yes	—
691	C₂²×D₄	C₂⁴	1	2	yes	—
692	C₂²×D₄	C₂⁴	1	4	yes	—
693	C₂²×D₄	C₂⁴	1	4	yes	—
694	C₂²×D₄	C₂⁴	1	2	yes	—
695	C₂²×D₄	C₂⁴	1	4	yes	—
696	C₂²×D₄	C₂⁴	1	8	yes	—
697	C₂²×D₄	C₂⁴	1	8	yes	—
698	C₂²×D₄	C₂⁴	1	2	yes	—
699	C₂²×D₄	C₂⁴	1	1	yes	characteristic
700	C₂²×D₄	C₂⁴	1	4	yes	—
701	C₂²×D₄	C₂⁴	1	2	yes	—
702	C₂²×D₄	C₂⁴	1	8	yes	—
703	C₂²×D₄	C₂⁴	1	16	yes	—
704	C₂²×D₄	C₂⁴	1	16	yes	—
705	C₂²×D₄	C₂⁴	1	32	yes	—
706	C₂²×D₄	C₂⁴	1	32	yes	—
707	C₂²×D₄	C₂⁴	1	32	yes	—
708	C₂²×D₄	C₂⁴	1	16	yes	—
709	C₂²×D₄	C₂⁴	1	32	yes	—
710	C₂²×D₄	C₂⁴	1	64	yes	—
711	C₂³×C₄	—	2	8	no	—
712	C₂³×C₄	—	2	16	no	—
713	C₂³×C₄	—	4	16	no	—
714	C₂³×C₄	—	4	8	no	—
715	C₂³×C₄	—	8	4	no	—
716	C₂³×C₄	C₂⁴	1	2	yes	—
717	C₂³×C₄	C₂⁴	1	2	yes	—
718	C₂³×C₄	C₂⁴	1	2	yes	—
719	C₂³×C₄	C₂⁴	1	2	yes	—
720	C₂³×C₄	C₂⁴	1	2	yes	—
721	C₂³×C₄	C₂⁴	1	1	yes	characteristic
722	C₂³×C₄	C₂⁴	1	4	yes	—
723	C₂³×C₄	C₂⁴	1	4	yes	—
724	C₂³×C₄	C₂⁴	1	8	yes	—
725	C₂³×C₄	C₂⁴	1	2	yes	—
726	C₂³×C₄	C₂⁴	1	2	yes	—
727	C₂³×C₄	C₂⁴	1	16	yes	—
728	C₂³×C₄	C₂⁴	1	2	yes	—
729	C₂³×C₄	C₂⁴	1	4	yes	—
730	C₂³×C₄	C₂⁴	1	4	yes	—
731	C₂³×C₄	C₂⁴	1	4	yes	—
732	C₂³×C₄	C₂⁴	1	4	yes	—
733	C₂³×C₄	C₂⁴	1	8	yes	—
734	C₂³×C₄	C₂⁴	1	4	yes	—
735	C₂³×C₄	C₂⁴	1	8	yes	—
736	C₂³×C₄	C₂⁴	1	8	yes	—
737	C₂³×C₄	C₂⁴	1	4	yes	—
738	C₂³×C₄	C₂⁴	1	4	yes	—
739	C₂³×C₄	C₂⁴	1	4	yes	—
740	C₂³×C₄	C₂⁴	1	8	yes	—
741	C₂³×C₄	C₂⁴	1	4	yes	—
742	C₂³×C₄	C₂⁴	1	4	yes	—
743	C₂³×C₄	C₂⁴	1	4	yes	—
744	C₂³×C₄	C₂⁴	1	16	yes	—
745	C₂³×C₄	C₂⁴	1	32	yes	—
746	C₂³×C₄	C₂⁴	1	16	yes	—
747	C₂³×C₄	C₂⁴	1	1	yes	characteristic
748	C₄⋊Q₈	C₂⁴	1	32	yes	—
749	C₄⋊Q₈	C₂⁴	1	32	yes	—
750	C₄⋊Q₈	C₂⁴	1	32	yes	—
751	C₄⋊Q₈	C₂⁴	1	32	yes	—
752	C₄⋊Q₈	C₂⁴	1	32	yes	—
753	C₄⋊Q₈	C₂⁴	1	64	yes	—
754	#127	C₂⁴	1	32	yes	—
755	#127	C₂⁴	1	32	yes	—
756	#127	C₂⁴	1	32	yes	—
757	#127	C₂⁴	1	64	yes	—
758	#127	C₂⁴	1	64	yes	—
759	#126	C₂⁴	1	64	yes	—
760	#126	C₂⁴	1	64	yes	—
761	#126	C₂⁴	1	64	yes	—
762	#126	C₂⁴	1	64	yes	—
763	#126	C₂⁴	1	64	yes	—
764	#126	C₂⁴	1	64	yes	—
765	#126	C₂⁴	1	64	yes	—
766	#126	C₂⁴	1	64	yes	—
767	#125	C₂⁴	1	32	yes	—
768	#125	C₂⁴	1	32	yes	—
769	#125	C₂⁴	1	64	yes	—
770	#125	C₂⁴	1	64	yes	—
771	#125	C₂⁴	1	64	yes	—
772	#125	C₂⁴	1	64	yes	—
773	#125	C₂⁴	1	64	yes	—
774	#124	C₂⁴	1	32	yes	—
775	#124	C₂⁴	1	32	yes	—
776	#124	C₂⁴	1	32	yes	—
777	#124	C₂⁴	1	32	yes	—
778	#124	C₂⁴	1	32	yes	—
779	#124	C₂⁴	1	32	yes	—
780	#124	C₂⁴	1	64	yes	—
781	#124	C₂⁴	1	64	yes	—
782	#124	C₂⁴	1	64	yes	—
783	#124	C₂⁴	1	64	yes	—
784	#124	C₂⁴	1	64	yes	—
785	#124	C₂⁴	1	64	yes	—
786	#123	C₂⁴	1	32	yes	—
787	#123	C₂⁴	1	64	yes	—
788	#123	C₂⁴	1	64	yes	—
789	#123	C₂⁴	1	64	yes	—
790	#123	C₂⁴	1	32	yes	—
791	#123	C₂⁴	1	32	yes	—
792	#123	C₂⁴	1	32	yes	—
793	#123	C₂⁴	1	32	yes	—
794	#123	C₂⁴	1	32	yes	—
795	#123	C₂⁴	1	32	yes	—
796	#123	C₂⁴	1	32	yes	—
797	#123	C₂⁴	1	64	yes	—
798	#123	C₂⁴	1	64	yes	—
799	#123	C₂⁴	1	64	yes	—
800	#123	C₂⁴	1	64	yes	—
801	#123	C₂⁴	1	64	yes	—
802	#123	C₂⁴	1	64	yes	—
803	#123	C₂⁴	1	64	yes	—
804	#123	C₂⁴	1	64	yes	—
805	#123	C₂⁴	1	64	yes	—
806	#123	C₂⁴	1	64	yes	—
807	#123	C₂⁴	1	64	yes	—
808	#123	C₂⁴	1	64	yes	—
809	#123	C₂⁴	1	64	yes	—
810	#123	C₂⁴	1	64	yes	—
811	#123	C₂⁴	1	64	yes	—
812	C₂²⋊Q₈	C₂⁴	1	16	yes	—
813	C₂²⋊Q₈	C₂⁴	1	32	yes	—
814	C₂²⋊Q₈	C₂⁴	1	32	yes	—
815	C₂²⋊Q₈	C₂⁴	1	32	yes	—
816	C₂²⋊Q₈	C₂⁴	1	32	yes	—
817	C₂²⋊Q₈	C₂⁴	1	32	yes	—
818	C₂²⋊Q₈	C₂⁴	1	32	yes	—
819	C₂²⋊Q₈	C₂⁴	1	32	yes	—
820	C₂²⋊Q₈	C₂⁴	1	32	yes	—
821	C₂²⋊Q₈	C₂⁴	1	64	yes	—
822	C₂²⋊Q₈	C₂⁴	1	64	yes	—
823	C₂²⋊Q₈	C₂⁴	1	64	yes	—
824	C₂²⋊Q₈	C₂⁴	1	16	yes	—
825	C₂²⋊Q₈	C₂⁴	1	16	yes	—
826	C₂²⋊Q₈	C₂⁴	1	16	yes	—
827	C₂²⋊Q₈	C₂⁴	1	32	yes	—
828	C₂²⋊Q₈	C₂⁴	1	32	yes	—
829	C₂²⋊Q₈	C₂⁴	1	32	yes	—
830	C₂²⋊Q₈	C₂⁴	1	16	yes	—
831	C₂²⋊Q₈	C₂⁴	1	16	yes	—
832	C₂²⋊Q₈	C₂⁴	1	16	yes	—
833	C₂²⋊Q₈	C₂⁴	1	16	yes	—
834	C₂²⋊Q₈	C₂⁴	1	32	yes	—
835	C₂²⋊Q₈	C₂⁴	1	32	yes	—
836	C₂²⋊Q₈	C₂⁴	1	32	yes	—
837	C₂²⋊Q₈	C₂⁴	1	64	yes	—
838	C₂²⋊Q₈	C₂⁴	1	32	yes	—
839	C₂²⋊Q₈	C₂⁴	1	64	yes	—
840	C₂²⋊Q₈	C₂⁴	1	32	yes	—
841	C₂²⋊Q₈	C₂⁴	1	64	yes	—
842	C₂²⋊Q₈	C₂⁴	1	64	yes	—
843	C₂²⋊Q₈	C₂⁴	1	64	yes	—
844	C₂²⋊Q₈	C₂⁴	1	64	yes	—
845	C₂²⋊Q₈	C₂⁴	1	64	yes	—
846	C₂²⋊Q₈	C₂⁴	1	64	yes	—
847	C₂²⋊Q₈	C₂⁴	1	64	yes	—
848	#121	C₂⁴	1	16	yes	—
849	#121	C₂⁴	1	32	yes	—
850	#121	C₂⁴	1	32	yes	—
851	#121	C₂⁴	1	32	yes	—
852	#121	C₂⁴	1	32	yes	—
853	#121	C₂⁴	1	64	yes	—
854	#121	C₂⁴	1	32	yes	—
855	#121	C₂⁴	1	64	yes	—
856	#121	C₂⁴	1	32	yes	—
857	#121	C₂⁴	1	32	yes	—
858	#121	C₂⁴	1	32	yes	—
859	#121	C₂⁴	1	64	yes	—
860	#121	C₂⁴	1	64	yes	—
861	#121	C₂⁴	1	64	yes	—
862	#121	C₂⁴	1	64	yes	—
863	#121	C₂⁴	1	64	yes	—
864	#121	C₂⁴	1	16	yes	—
865	#121	C₂⁴	1	16	yes	—
866	#121	C₂⁴	1	16	yes	—
867	#121	C₂⁴	1	32	yes	—
868	#121	C₂⁴	1	32	yes	—
869	#121	C₂⁴	1	32	yes	—
870	#121	C₂⁴	1	32	yes	—
871	#121	C₂⁴	1	16	yes	—
872	#121	C₂⁴	1	16	yes	—
873	#121	C₂⁴	1	32	yes	—
874	#121	C₂⁴	1	16	yes	—
875	#121	C₂⁴	1	16	yes	—
876	#121	C₂⁴	1	32	yes	—
877	#121	C₂⁴	1	64	yes	—
878	#121	C₂⁴	1	32	yes	—
879	#121	C₂⁴	1	64	yes	—
880	#121	C₂⁴	1	32	yes	—
881	#121	C₂⁴	1	32	yes	—
882	#121	C₂⁴	1	32	yes	—
883	#121	C₂⁴	1	32	yes	—
884	#121	C₂⁴	1	32	yes	—
885	#121	C₂⁴	1	32	yes	—
886	#121	C₂⁴	1	32	yes	—
887	#121	C₂⁴	1	32	yes	—
888	#121	C₂⁴	1	32	yes	—
889	#121	C₂⁴	1	64	yes	—
890	#121	C₂⁴	1	64	yes	—
891	#121	C₂⁴	1	64	yes	—
892	#121	C₂⁴	1	64	yes	—
893	#121	C₂⁴	1	64	yes	—
894	#121	C₂⁴	1	64	yes	—
895	#121	C₂⁴	1	64	yes	—
896	#121	C₂⁴	1	64	yes	—
897	#121	C₂⁴	1	64	yes	—
898	#121	C₂⁴	1	64	yes	—
899	#121	C₂⁴	1	64	yes	—
900	#121	C₂⁴	1	64	yes	—
901	#121	C₂⁴	1	64	yes	—
902	#120	C₂⁴	1	32	yes	—
903	#120	C₂⁴	1	32	yes	—
904	#120	C₂⁴	1	32	yes	—
905	#120	C₂⁴	1	32	yes	—
906	#120	C₂⁴	1	32	yes	—
907	#120	C₂⁴	1	32	yes	—
908	#120	C₂⁴	1	32	yes	—
909	#120	C₂⁴	1	64	yes	—
910	#120	C₂⁴	1	32	yes	—
911	#120	C₂⁴	1	64	yes	—
912	#120	C₂⁴	1	64	yes	—
913	#120	C₂⁴	1	64	yes	—
914	#120	C₂⁴	1	64	yes	—
915	#120	C₂⁴	1	64	yes	—
916	C₄×Q₈	C₂⁴	1	32	yes	—
917	C₄×Q₈	C₂⁴	1	32	yes	—
918	C₄×Q₈	C₂⁴	1	32	yes	—
919	C₄×Q₈	C₂⁴	1	32	yes	—
920	C₄×Q₈	C₂⁴	1	64	yes	—
921	C₄×D₄	C₂⁴	1	32	yes	—
922	C₄×D₄	C₂⁴	1	32	yes	—
923	C₄×D₄	C₂⁴	1	64	yes	—
924	C₄×D₄	C₂⁴	1	64	yes	—
925	C₄×D₄	C₂⁴	1	32	yes	—
926	C₄×D₄	C₂⁴	1	32	yes	—
927	C₄×D₄	C₂⁴	1	32	yes	—
928	C₄×D₄	C₂⁴	1	32	yes	—
929	C₄×D₄	C₂⁴	1	32	yes	—
930	C₄×D₄	C₂⁴	1	32	yes	—
931	C₄×D₄	C₂⁴	1	32	yes	—
932	C₄×D₄	C₂⁴	1	32	yes	—
933	C₄×D₄	C₂⁴	1	32	yes	—
934	C₄×D₄	C₂⁴	1	32	yes	—
935	C₄×D₄	C₂⁴	1	64	yes	—
936	C₄×D₄	C₂⁴	1	64	yes	—
937	C₄×D₄	C₂⁴	1	64	yes	—
938	C₄×D₄	C₂⁴	1	64	yes	—
939	C₄×D₄	C₂⁴	1	64	yes	—
940	C₄×D₄	C₂⁴	1	64	yes	—
941	C₄×D₄	C₂⁴	1	64	yes	—
942	C₄×D₄	C₂⁴	1	64	yes	—
943	C₄×D₄	C₂⁴	1	64	yes	—
944	C₄×D₄	C₂⁴	1	64	yes	—
945	C₄×D₄	C₂⁴	1	64	yes	—
946	#117	C₂⁴	1	16	yes	—
947	#117	C₂⁴	1	16	yes	—
948	#117	C₂⁴	1	32	yes	—
949	#117	C₂⁴	1	32	yes	—
950	#117	C₂⁴	1	16	yes	—
951	#117	C₂⁴	1	16	yes	—
952	#117	C₂⁴	1	32	yes	—
953	#117	C₂⁴	1	32	yes	—
954	#117	C₂⁴	1	32	yes	—
955	#117	C₂⁴	1	64	yes	—
956	#117	C₂⁴	1	64	yes	—
957	#117	C₂⁴	1	64	yes	—
958	#117	C₂⁴	1	64	yes	—
959	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
960	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
961	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
962	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
963	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
964	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
965	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
966	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
967	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
968	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
969	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
970	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
971	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
972	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
973	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
974	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
975	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
976	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
977	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
978	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
979	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
980	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
981	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
982	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
983	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
984	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
985	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
986	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
987	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
988	C₂×C₄⋊C₄	C₂⁴	1	64	yes	—
989	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
990	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
991	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
992	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
993	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
994	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
995	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
996	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
997	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
998	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
999	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1000	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1001	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1002	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1003	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1004	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1005	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1006	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1007	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1008	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1009	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1010	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1012	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1013	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1014	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1015	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1016	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1017	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
1018	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1019	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
1020	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
1021	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
1022	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1023	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1024	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
1025	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
1026	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1029	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1031	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1032	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1033	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1034	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1035	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1036	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1037	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1038	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1039	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1040	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1041	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₄²	C₂⁴	1	4	yes	—
1043	C₂×C₄²	C₂⁴	1	8	yes	—
1044	C₂×C₄²	C₂⁴	1	8	yes	—
1045	C₂×C₄²	C₂⁴	1	8	yes	—
1046	C₂×C₄²	C₂⁴	1	4	yes	—
1047	C₂×C₄²	C₂⁴	1	4	yes	—
1048	C₂×C₄²	C₂⁴	1	4	yes	—
1049	C₂×C₄²	C₂⁴	1	32	yes	—
1050	C₂⁴	—	2	4	no	—
1051	C₂⁴	—	2	8	no	—
1052	C₂⁴	—	2	8	no	—
1053	C₂⁴	—	4	2	no	—
1054	C₂⁴	—	4	2	no	—
1055	C₂⁴	—	4	8	no	—
1056	C₂⁴	—	4	4	no	—
1057	C₂⁴	—	4	4	no	—
1058	C₂⁴	—	4	8	no	—
1059	C₂⁴	—	4	4	no	—
1060	C₂⁴	—	4	4	no	—
1061	C₂⁴	—	4	8	no	—
1062	C₂⁴	—	4	8	no	—
1063	C₂⁴	—	4	8	no	—
1064	C₂⁴	—	4	8	no	—
1065	C₂⁴	C₂⁵	1	2	yes	—
1066	C₂⁴	C₂⁵	1	4	yes	—
1067	C₂⁴	C₂⁵	1	4	yes	—
1068	C₂⁴	C₂⁵	1	2	yes	—
1069	C₂⁴	C₂⁵	1	2	yes	—
1070	C₂⁴	C₂⁵	1	4	yes	—
1071	C₂⁴	C₂⁵	1	1	yes	characteristic
1072	C₂⁴	C₂⁵	1	8	yes	—
1073	C₂⁴	C₂⁵	1	8	yes	—
1074	C₂⁴	C₂⁵	1	4	yes	—
1075	C₂⁴	C₂⁵	1	16	yes	—
1076	C₂⁴	C₂⁵	1	16	yes	—
1077	#41	—	2	64	no	—
1078	#41	—	2	64	no	—
1079	#41	—	4	32	no	—
1080	#41	—	4	32	no	—
1081	#41	—	4	32	no	—
1082	#41	—	4	32	no	—
1083	#41	—	4	64	no	—
1084	#41	—	4	64	no	—
1085	#41	—	4	64	no	—
1086	#41	—	4	64	no	—
1087	#41	—	4	64	no	—
1088	#41	—	4	32	no	—
1089	#41	—	4	32	no	—
1090	#41	—	4	64	no	—
1091	#41	—	4	64	no	—
1092	#41	—	8	64	no	—
1093	#41	—	8	64	no	—
1094	C₂×Q₈	—	2	16	no	—
1095	C₂×Q₈	—	2	32	no	—
1096	C₂×Q₈	—	2	8	no	—
1097	C₂×Q₈	—	2	8	no	—
1098	C₂×Q₈	—	4	8	no	—
1099	C₂×Q₈	—	4	2	no	—
1100	C₂×Q₈	—	4	4	no	—
1101	C₂×Q₈	—	4	2	no	—
1102	C₂×Q₈	—	4	16	no	—
1103	C₂×Q₈	—	4	8	no	—
1104	C₂×Q₈	—	4	16	no	—
1105	C₂×Q₈	—	4	32	no	—
1106	C₂×Q₈	—	4	64	no	—
1107	C₂×Q₈	C₂⁵	1	8	yes	—
1108	C₂×Q₈	C₂⁵	1	16	yes	—
1109	C₂×Q₈	C₂⁵	1	8	yes	—
1110	C₂×Q₈	C₂⁵	1	32	yes	—
1111	C₂×Q₈	C₂⁵	1	4	yes	—
1112	C₂×Q₈	C₂⁵	1	8	yes	—
1113	C₂×Q₈	C₂⁵	1	16	yes	—
1114	C₂×Q₈	C₂⁵	1	4	yes	—
1115	C₂×Q₈	C₂⁵	1	16	yes	—
1116	C₂×D₄	—	2	16	no	—
1117	C₂×D₄	—	2	16	no	—
1118	C₂×D₄	—	2	16	no	—
1119	C₂×D₄	—	2	32	no	—
1120	C₂×D₄	—	2	8	no	—
1121	C₂×D₄	—	2	8	no	—
1122	C₂×D₄	—	4	32	no	—
1123	C₂×D₄	—	4	64	no	—
1124	C₂×D₄	—	4	16	no	—
1125	C₂×D₄	—	4	2	no	—
1126	C₂×D₄	—	4	4	no	—
1127	C₂×D₄	—	4	4	no	—
1128	C₂×D₄	—	4	2	no	—
1129	C₂×D₄	—	4	4	no	—
1130	C₂×D₄	—	4	16	no	—
1131	C₂×D₄	—	4	4	no	—
1132	C₂×D₄	—	4	4	no	—
1133	C₂×D₄	—	4	8	no	—
1134	C₂×D₄	—	4	32	no	—
1135	C₂×D₄	—	4	8	no	—
1136	C₂×D₄	—	4	8	no	—
1137	C₂×D₄	—	4	16	no	—
1138	C₂×D₄	—	4	32	no	—
1139	C₂×D₄	—	4	16	no	—
1140	C₂×D₄	—	4	8	no	—
1141	C₂×D₄	—	4	16	no	—
1142	C₂×D₄	—	4	16	no	—
1143	C₂×D₄	—	4	16	no	—
1144	C₂×D₄	—	4	8	no	—
1145	C₂×D₄	—	4	8	no	—
1146	C₂×D₄	—	4	8	no	—
1147	C₂×D₄	—	4	16	no	—
1148	C₂×D₄	—	4	8	no	—
1149	C₂×D₄	—	4	8	no	—
1150	C₂×D₄	—	4	8	no	—
1151	C₂×D₄	—	4	8	no	—
1152	C₂×D₄	—	4	8	no	—
1153	C₂×D₄	—	4	64	no	—
1154	C₂×D₄	—	4	64	no	—
1155	C₂×D₄	—	8	32	no	—
1156	C₂×D₄	—	8	64	no	—
1157	C₂×D₄	C₂⁵	1	16	yes	—
1158	C₂×D₄	C₂⁵	1	16	yes	—
1159	C₂×D₄	C₂⁵	1	8	yes	—
1160	C₂×D₄	C₂⁵	1	16	yes	—
1161	C₂×D₄	C₂⁵	1	8	yes	—
1162	C₂×D₄	C₂⁵	1	16	yes	—
1163	C₂×D₄	C₂⁵	1	16	yes	—
1164	C₂×D₄	C₂⁵	1	16	yes	—
1165	C₂×D₄	C₂⁵	1	32	yes	—
1166	C₂×D₄	C₂⁵	1	16	yes	—
1167	C₂×D₄	C₂⁵	1	16	yes	—
1168	C₂×D₄	C₂⁵	1	16	yes	—
1169	C₂×D₄	C₂⁵	1	32	yes	—
1170	C₂×D₄	C₂⁵	1	16	yes	—
1171	C₂×D₄	C₂⁵	1	16	yes	—
1172	C₂×D₄	C₂⁵	1	32	yes	—
1173	C₂×D₄	C₂⁵	1	32	yes	—
1174	C₂×D₄	C₂⁵	1	32	yes	—
1175	C₂×D₄	C₂⁵	1	4	yes	—
1176	C₂×D₄	C₂⁵	1	8	yes	—
1177	C₂×D₄	C₂⁵	1	8	yes	—
1178	C₂×D₄	C₂⁵	1	16	yes	—
1179	C₂×D₄	C₂⁵	1	16	yes	—
1180	C₂×D₄	C₂⁵	1	8	yes	—
1181	C₂×D₄	C₂⁵	1	16	yes	—
1182	C₂×D₄	C₂⁵	1	32	yes	—
1183	C₂×D₄	C₂⁵	1	32	yes	—
1184	C₂×D₄	C₂⁵	1	8	yes	—
1185	C₂×D₄	C₂⁵	1	4	yes	—
1186	C₂×D₄	C₂⁵	1	16	yes	—
1187	C₂×D₄	C₂⁵	1	8	yes	—
1188	C₂²×C₄	—	2	4	no	—
1189	C₂²×C₄	—	2	8	no	—
1190	C₂²×C₄	—	2	8	no	—
1191	C₂²×C₄	—	2	8	no	—
1192	C₂²×C₄	—	2	8	no	—
1193	C₂²×C₄	—	2	8	no	—
1194	C₂²×C₄	—	2	8	no	—
1195	C₂²×C₄	—	2	8	no	—
1196	C₂²×C₄	—	2	32	no	—
1197	C₂²×C₄	—	2	8	no	—
1198	C₂²×C₄	—	2	64	no	—
1199	C₂²×C₄	—	2	16	no	—
1200	C₂²×C₄	—	2	16	no	—
1201	C₂²×C₄	—	4	64	no	—
1202	C₂²×C₄	—	4	8	no	—
1203	C₂²×C₄	—	4	8	no	—
1204	C₂²×C₄	—	4	8	no	—
1205	C₂²×C₄	—	4	8	no	—
1206	C₂²×C₄	—	4	8	no	—
1207	C₂²×C₄	—	4	32	no	—
1208	C₂²×C₄	—	4	8	no	—
1209	C₂²×C₄	—	4	16	no	—
1210	C₂²×C₄	—	4	8	no	—
1211	C₂²×C₄	—	4	8	no	—
1212	C₂²×C₄	—	4	8	no	—
1213	C₂²×C₄	—	4	16	no	—
1214	C₂²×C₄	—	4	16	no	—
1215	C₂²×C₄	—	4	16	no	—
1216	C₂²×C₄	—	4	8	no	—
1217	C₂²×C₄	—	4	8	no	—
1218	C₂²×C₄	—	8	16	no	—
1219	C₂²×C₄	H(5,𝔽₂)	1	8	yes	—
1220	C₂²×C₄	C₂⁵	1	8	yes	—
1221	C₂²×C₄	C₂⁵	1	8	yes	—
1222	C₂²×C₄	C₂⁵	1	8	yes	—
1223	C₂²×C₄	C₂⁵	1	8	yes	—
1224	C₂²×C₄	C₂⁵	1	8	yes	—
1225	C₂²×C₄	C₂⁵	1	8	yes	—
1226	C₂²×C₄	C₂⁵	1	4	yes	—
1227	C₂²×C₄	C₂⁵	1	16	yes	—
1228	C₂²×C₄	C₂⁵	1	16	yes	—
1229	C₂²×C₄	C₂⁵	1	8	yes	—
1230	C₂²×C₄	C₂⁵	1	8	yes	—
1231	C₂²×C₄	C₂⁵	1	4	yes	—
1232	C₂²×C₄	C₂⁵	1	4	yes	—
1233	C₂²×C₄	C₂⁵	1	4	yes	—
1234	C₂²×C₄	C₂⁵	1	2	yes	—
1235	C₂²×C₄	C₂⁵	1	4	yes	—
1236	C₂²×C₄	C₂⁵	1	4	yes	—
1237	C₂²×C₄	C₂⁵	1	8	yes	—
1238	C₂²×C₄	C₂⁵	1	4	yes	—
1239	C₂²×C₄	C₂⁵	1	4	yes	—
1240	C₂²×C₄	C₂⁵	1	2	yes	—
1241	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁵	1	16	yes	—
1244	C₂²×C₄	C₂⁵	1	16	yes	—
1245	C₂²×C₄	C₂⁵	1	16	yes	—
1246	C₂²×C₄	C₂⁵	1	16	yes	—
1247	C₂²×C₄	C₂⁵	1	16	yes	—
1248	C₂²×C₄	C₂⁵	1	16	yes	—
1249	C₂²×C₄	C₂⁵	1	32	yes	—
1250	C₂²×C₄	C₂⁵	1	32	yes	—
1251	C₂²×C₄	C₂⁵	1	32	yes	—
1252	C₂²×C₄	C₂⁵	1	16	yes	—
1253	C₂²×C₄	C₂⁵	1	16	yes	—
1254	C₂²×C₄	C₂⁵	1	32	yes	—
1255	C₂²×C₄	C₂⁵	1	16	yes	—
1256	C₂²×C₄	C₂⁵	1	16	yes	—
1257	C₂²×C₄	C₂⁵	1	16	yes	—
1258	C₂²×C₄	C₂⁵	1	4	yes	—
1259	C₂²×C₄	C₂⁵	1	2	yes	—
1260	C₄⋊C₄	C₂⁵	1	16	yes	—
1261	C₄⋊C₄	C₂⁵	1	16	yes	—
1262	C₄⋊C₄	C₂⁵	1	8	yes	—
1263	C₄⋊C₄	C₂⁵	1	8	yes	—
1264	C₄⋊C₄	C₂⁵	1	16	yes	—
1265	C₄⋊C₄	C₂⁵	1	16	yes	—
1266	C₄⋊C₄	C₂⁵	1	32	yes	—
1267	C₄⋊C₄	C₂⁵	1	16	yes	—
1268	C₄⋊C₄	C₂⁵	1	16	yes	—
1269	C₄⋊C₄	C₂⁵	1	16	yes	—
1270	C₄⋊C₄	C₂⁵	1	32	yes	—
1271	C₄⋊C₄	C₂⁵	1	8	yes	—
1272	C₄⋊C₄	C₂⁵	1	8	yes	—
1273	C₄⋊C₄	C₂⁵	1	16	yes	—
1274	C₄⋊C₄	C₂⁵	1	16	yes	—
1275	C₄⋊C₄	C₂⁵	1	32	yes	—
1276	C₄⋊C₄	C₂⁵	1	32	yes	—
1277	C₄⋊C₄	C₂⁵	1	32	yes	—
1278	C₄⋊C₄	C₂⁵	1	32	yes	—
1279	C₄⋊C₄	C₂⁵	1	32	yes	—
1280	C₄⋊C₄	C₂⁵	1	32	yes	—
1281	C₄⋊C₄	C₂⁵	1	16	yes	—
1282	C₄⋊C₄	C₂⁵	1	32	yes	—
1283	C₄⋊C₄	C₂⁵	1	16	yes	—
1284	C₄⋊C₄	C₂⁵	1	16	yes	—
1285	C₄⋊C₄	C₂⁵	1	16	yes	—
1286	C₄⋊C₄	C₂⁵	1	16	yes	—
1287	C₄⋊C₄	C₂⁵	1	16	yes	—
1288	C₄⋊C₄	C₂⁵	1	32	yes	—
1289	C₄⋊C₄	C₂⁵	1	16	yes	—
1290	C₂²⋊C₄	C₂⁵	1	16	yes	—
1291	C₂²⋊C₄	C₂⁵	1	16	yes	—
1292	C₂²⋊C₄	C₂⁵	1	32	yes	—
1293	C₂²⋊C₄	C₂⁵	1	32	yes	—
1294	C₂²⋊C₄	C₂⁵	1	32	yes	—
1295	C₂²⋊C₄	C₂⁵	1	16	yes	—
1296	C₂²⋊C₄	C₂⁵	1	16	yes	—
1297	C₂²⋊C₄	C₂⁵	1	16	yes	—
1298	C₂²⋊C₄	C₂⁵	1	32	yes	—
1299	C₂²⋊C₄	C₂⁵	1	16	yes	—
1300	C₂²⋊C₄	C₂⁵	1	16	yes	—
1301	C₂²⋊C₄	C₂⁵	1	16	yes	—
1302	C₂²⋊C₄	C₂⁵	1	32	yes	—
1303	C₂²⋊C₄	C₂⁵	1	32	yes	—
1304	C₂²⋊C₄	C₂⁵	1	32	yes	—
1305	C₂²⋊C₄	C₂⁵	1	32	yes	—
1306	C₂²⋊C₄	C₂⁵	1	32	yes	—
1307	C₂²⋊C₄	C₂⁵	1	16	yes	—
1308	C₂²⋊C₄	C₂⁵	1	16	yes	—
1309	C₂²⋊C₄	C₂⁵	1	16	yes	—
1310	C₂²⋊C₄	C₂⁵	1	16	yes	—
1311	C₂²⋊C₄	C₂⁵	1	32	yes	—
1312	C₂²⋊C₄	C₂⁵	1	32	yes	—
1313	C₂²⋊C₄	C₂⁵	1	16	yes	—
1314	C₂²⋊C₄	C₂⁵	1	32	yes	—
1315	C₂²⋊C₄	C₂⁵	1	32	yes	—
1316	C₂²⋊C₄	C₂⁵	1	16	yes	—
1317	C₂²⋊C₄	C₂⁵	1	16	yes	—
1318	C₂²⋊C₄	C₂⁵	1	16	yes	—
1319	C₂²⋊C₄	C₂⁵	1	16	yes	—
1320	C₂²⋊C₄	C₂⁵	1	16	yes	—
1321	C₂²⋊C₄	C₂⁵	1	16	yes	—
1322	C₂²⋊C₄	C₂⁵	1	16	yes	—
1323	C₄²	C₂⁵	1	16	yes	—
1324	C₄²	C₂⁵	1	16	yes	—
1325	C₄²	C₂⁵	1	16	yes	—
1326	C₄²	C₂⁵	1	16	yes	—
1327	C₄²	C₂⁵	1	32	yes	—
1328	C₄²	C₂⁵	1	32	yes	—
1329	C₄²	C₂⁵	1	32	yes	—
1330	C₂³	—	2	2	no	—
1331	C₂³	—	2	2	no	—
1332	C₂³	—	2	4	no	—
1333	C₂³	—	2	8	no	—
1334	C₂³	—	2	4	no	—
1335	C₂³	—	2	4	no	—
1336	C₂³	—	2	8	no	—
1337	C₂³	—	2	8	no	—
1338	C₂³	—	2	8	no	—
1339	C₂³	—	2	4	no	—
1340	C₂³	—	2	4	no	—
1341	C₂³	—	2	8	no	—
1342	C₂³	—	2	8	no	—
1343	C₂³	—	2	8	no	—
1344	C₂³	—	2	4	no	—
1345	C₂³	—	2	4	no	—
1346	C₂³	—	2	8	no	—
1347	C₂³	—	2	4	no	—
1348	C₂³	—	2	8	no	—
1349	C₂³	—	2	4	no	—
1350	C₂³	—	2	8	no	—
1351	C₂³	—	2	16	no	—
1352	C₂³	—	2	16	no	—
1353	C₂³	—	4	4	no	—
1354	C₂³	—	4	4	no	—
1355	C₂³	—	4	16	no	—
1356	C₂³	—	4	8	no	—
1357	C₂³	—	4	8	no	—
1358	C₂³	—	4	16	no	—
1359	C₂³	—	4	8	no	—
1360	C₂³	—	4	8	no	—
1361	C₂³	—	4	16	no	—
1362	C₂³	—	4	16	no	—
1363	C₂³	—	4	16	no	—
1364	C₂³	—	4	16	no	—
1365	C₂³	—	4	16	no	—
1366	C₂³	—	8	16	no	—
1367	C₂³	—	8	16	no	—
1368	C₂³	—	8	32	no	—
1369	C₂³	—	16	16	no	—
1370	C₂³	C₂×H(5,𝔽₂)	1	4	yes	—
1371	C₂³	C₂⁶	1	4	yes	—
1372	C₂³	C₂⁶	1	8	yes	—
1373	C₂³	C₂⁶	1	8	yes	—
1374	C₂³	C₂⁶	1	4	yes	—
1375	C₂³	C₂⁶	1	4	yes	—
1376	C₂³	C₂⁶	1	8	yes	—
1377	C₂³	C₂⁶	1	2	yes	—
1378	C₂³	C₂⁶	1	1	yes	characteristic
1379	Q₈	—	2	32	no	—
1380	Q₈	—	2	16	no	—
1381	Q₈	—	2	16	no	—
1382	Q₈	—	4	16	no	—
1383	Q₈	—	4	4	no	—
1384	Q₈	—	4	8	no	—
1385	Q₈	—	4	4	no	—
1386	Q₈	—	4	16	no	—
1387	Q₈	—	4	32	no	—
1388	D₄	—	2	32	no	—
1389	D₄	—	2	32	no	—
1390	D₄	—	2	32	no	—
1391	D₄	—	2	16	no	—
1392	D₄	—	2	16	no	—
1393	D₄	—	4	32	no	—
1394	D₄	—	4	4	no	—
1395	D₄	—	4	8	no	—
1396	D₄	—	4	8	no	—
1397	D₄	—	4	4	no	—
1398	D₄	—	4	8	no	—
1399	D₄	—	4	8	no	—
1400	D₄	—	4	8	no	—
1401	D₄	—	4	16	no	—
1402	D₄	—	4	16	no	—
1403	D₄	—	4	16	no	—
1404	D₄	—	4	32	no	—
1405	D₄	—	4	32	no	—
1406	D₄	—	4	16	no	—
1407	D₄	—	4	32	no	—
1408	D₄	—	4	32	no	—
1409	D₄	—	4	32	no	—
1410	D₄	—	4	16	no	—
1411	D₄	—	4	16	no	—
1412	D₄	—	4	16	no	—
1413	D₄	—	4	32	no	—
1414	D₄	—	4	16	no	—
1415	D₄	—	4	16	no	—
1416	D₄	—	4	16	no	—
1417	D₄	—	4	16	no	—
1418	D₄	—	4	16	no	—
1419	C₂×C₄	—	2	8	no	—
1420	C₂×C₄	—	2	2	no	—
1421	C₂×C₄	—	2	2	no	—
1422	C₂×C₄	—	2	4	no	—
1423	C₂×C₄	—	2	4	no	—
1424	C₂×C₄	—	2	16	no	—
1425	C₂×C₄	—	2	8	no	—
1426	C₂×C₄	—	2	8	no	—
1427	C₂×C₄	—	2	8	no	—
1428	C₂×C₄	—	2	16	no	—
1429	C₂×C₄	—	2	16	no	—
1430	C₂×C₄	—	2	8	no	—
1431	C₂×C₄	—	2	8	no	—
1432	C₂×C₄	—	2	8	no	—
1433	C₂×C₄	—	2	8	no	—
1434	C₂×C₄	—	2	16	no	—
1435	C₂×C₄	—	2	16	no	—
1436	C₂×C₄	—	2	16	no	—
1437	C₂×C₄	—	2	16	no	—
1438	C₂×C₄	—	2	16	no	—
1439	C₂×C₄	—	2	16	no	—
1440	C₂×C₄	—	2	32	no	—
1441	C₂×C₄	—	2	32	no	—
1442	C₂×C₄	—	4	16	no	—
1443	C₂×C₄	—	4	16	no	—
1444	C₂×C₄	—	4	16	no	—
1445	C₂×C₄	—	4	16	no	—
1446	C₂×C₄	—	4	16	no	—
1447	C₂×C₄	—	4	16	no	—
1448	C₂×C₄	—	4	32	no	—
1449	C₂×C₄	—	4	16	no	—
1450	C₂×C₄	—	4	16	no	—
1451	C₂×C₄	—	4	16	no	—
1452	C₂×C₄	—	4	32	no	—
1453	C₂×C₄	—	4	32	no	—
1454	C₂×C₄	—	4	32	no	—
1455	C₂×C₄	—	4	16	no	—
1456	C₂×C₄	—	4	16	no	—
1457	C₂×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1458	C₂×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
1459	C₂×C₄	C₂⁶	1	8	yes	—
1460	C₂×C₄	C₂⁶	1	8	yes	—
1461	C₂×C₄	C₂⁶	1	8	yes	—
1462	C₂×C₄	C₂⁶	1	4	yes	—
1463	C₂×C₄	C₂⁶	1	8	yes	—
1464	C₂×C₄	C₂⁶	1	8	yes	—
1465	C₂×C₄	C₂⁶	1	16	yes	—
1466	C₂×C₄	C₂⁶	1	8	yes	—
1467	C₂×C₄	C₂⁶	1	8	yes	—
1468	C₂×C₄	C₂⁶	1	4	yes	—
1469	C₂×C₄	C₂⁶	1	2	yes	—
1470	C₂×C₄	C₂⁶	1	2	yes	—
1471	C₂×C₄	C₂⁶	1	4	yes	—
1472	C₂²	—	2	2	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	2	8	no	—
1475	C₂²	—	2	4	no	—
1476	C₂²	—	2	4	no	—
1477	C₂²	—	2	4	no	—
1478	C₂²	—	2	8	no	—
1479	C₂²	—	2	8	no	—
1480	C₂²	—	2	8	no	—
1481	C₂²	—	2	4	no	—
1482	C₂²	—	2	4	no	—
1483	C₂²	—	2	8	no	—
1484	C₂²	—	2	8	no	—
1485	C₂²	—	2	8	no	—
1486	C₂²	—	2	4	no	—
1487	C₂²	—	2	4	no	—
1488	C₂²	—	2	8	no	—
1489	C₂²	—	2	4	no	—
1490	C₂²	—	2	8	no	—
1491	C₂²	—	2	4	no	—
1492	C₂²	—	2	8	no	—
1493	C₂²	—	4	16	no	—
1494	C₂²	—	4	8	no	—
1495	C₂²	—	4	8	no	—
1496	C₂²	—	4	16	no	—
1497	C₂²	—	4	8	no	—
1498	C₂²	—	4	16	no	—
1499	C₂²	—	4	16	no	—
1500	C₂²	—	8	16	no	—
1501	C₂²	—	8	16	no	—
1502	C₂²	—	8	32	no	—
1503	C₂²	—	16	16	no	—
1504	C₂²	C₂²×H(5,𝔽₂)	1	4	yes	—
1505	C₂²	C₂²×H(5,𝔽₂)	1	2	yes	—
1506	C₂²	H(7,𝔽₂)	1	2	yes	—
1507	C₂²	2₋¹⁺⁶	1	2	yes	—
1508	C₂²	C₂⁷	1	1	yes	characteristic
1509	C₄	—	2	2	no	—
1510	C₄	—	2	2	no	—
1511	C₄	—	2	4	no	—
1512	C₄	—	2	4	no	—
1513	C₄	—	2	8	no	—
1514	C₄	—	2	8	no	—
1515	C₄	—	2	8	no	—
1516	C₄	—	2	16	no	—
1517	C₄	—	2	8	no	—
1518	C₄	—	2	8	no	—
1519	C₄	—	2	8	no	—
1520	C₄	—	2	8	no	—
1521	C₄	C₂²×H(5,𝔽₂)	1	8	yes	—
1522	C₂	—	2	4	no	—
1523	C₂	—	4	4	no	—
1524	C₂	—	4	4	no	—
1525	C₂	—	4	8	no	—
1526	C₂	—	4	4	no	—
1527	C₂	—	4	8	no	—
1528	C₂	—	4	8	no	—
1529	C₂	#62875	1	4	yes	direct product factor
1530	C₂	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1531	C₂	C₂×H(7,𝔽₂)	1	1	yes	characteristic
1532	C₂	C₂×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁷
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62875	C₂	direct (N × H)
2. C₂×#3495	C₂	semidirect
3. C₂×#3489	C₂	semidirect
4. C₂×#3494	C₂	semidirect
5. C₂×#3488	C₂	semidirect
6. C₂×#3487	C₂	semidirect
7. C₂×#3485	C₂	semidirect
8. C₂×#3492	C₂	semidirect
9. C₂×#3548	C₂	semidirect
10. C₂×#3547	C₂	semidirect
11. C₂×#3546	C₂	semidirect
12. C₂×#3551	C₂	semidirect
13. C₂×#3539	C₂	semidirect
14. C₂×#3536	C₂	semidirect
15. C₂×#3535	C₂	semidirect
16. C₂×#3534	C₂	semidirect
17. C₂×#3541	C₂	semidirect
18. C₂×#3542	C₂	semidirect
19. C₂×#3542	C₂	semidirect
20. C₂×#3449	C₂	semidirect
21. C₂²×#537	C₂	semidirect
22. C₂²×2₋¹⁺⁴	C₂²	semidirect
24. C₂³×#41	C₂²	semidirect
25. C₂³×#41	C₂²	semidirect
26. C₂³×#41	C₂²	semidirect
27. #3551	C₂²	semidirect
28. #3548	C₂²	semidirect
29. #3547	C₂²	semidirect
30. #3546	C₂²	semidirect
31. #3542	C₂²	semidirect
32. #3542	C₂²	semidirect
33. #3541	C₂²	semidirect
34. #3539	C₂²	semidirect
35. #3536	C₂²	semidirect
36. #3535	C₂²	semidirect
37. #3534	C₂²	semidirect
38. C₂×#563	C₂²	semidirect
39. C₂×#562	C₂²	semidirect
40. C₂×#562	C₂²	semidirect
41. C₂×#562	C₂²	semidirect
42. C₂×#562	C₂²	semidirect
43. C₂×#560	C₂²	semidirect
44. C₂×#560	C₂²	semidirect
45. C₂×#560	C₂²	semidirect
46. #3495	C₂²	semidirect
47. #3494	C₂²	semidirect
48. #3492	C₂²	semidirect
49. #3489	C₂²	semidirect
50. #3488	C₂²	semidirect
51. #3487	C₂²	semidirect
52. #3485	C₂²	semidirect
53. C₂×#556	C₂²	semidirect
54. C₂×#555	C₂²	semidirect
55. C₂×#555	C₂²	semidirect
56. C₂×#554	C₂²	semidirect
57. C₂×#554	C₂²	semidirect
58. C₂×#554	C₂²	semidirect
59. C₂×#554	C₂²	semidirect
60. C₂×#553	C₂²	semidirect
61. C₂×#553	C₂²	semidirect
62. C₂×#553	C₂²	semidirect
63. C₂×#553	C₂²	semidirect
64. C₂×#553	C₂²	semidirect
65. C₂×#553	C₂²	semidirect
66. C₂×#552	C₂²	semidirect
67. C₂×#552	C₂²	semidirect
68. C₂×#552	C₂²	semidirect
69. C₂×#552	C₂²	semidirect
70. C₂×#552	C₂²	semidirect
71. C₂×#551	C₂²	semidirect
72. C₂×#551	C₂²	semidirect
73. C₂×#551	C₂²	semidirect
74. C₂×#550	C₂²	semidirect
75. C₂×#550	C₂²	semidirect
76. C₂×#550	C₂²	semidirect
77. C₂×#550	C₂²	semidirect
78. C₂×D₄×Q₈	C₂²	semidirect
79. C₂×#548	C₂²	semidirect
80. C₂×#548	C₂²	semidirect
81. C₂×#548	C₂²	semidirect
82. C₂×#548	C₂²	semidirect
83. C₂×#547	C₂²	semidirect
84. C₂×#547	C₂²	semidirect
85. C₂×#547	C₂²	semidirect
86. C₂×#547	C₂²	semidirect
87. C₂×#547	C₂²	semidirect
88. C₂×#547	C₂²	semidirect
89. C₂×#547	C₂²	semidirect
90. C₂×#546	C₂²	semidirect
91. C₂×#546	C₂²	semidirect
92. C₂×#546	C₂²	semidirect
93. C₂×#546	C₂²	semidirect
94. C₂×#546	C₂²	semidirect
95. C₂×#546	C₂²	semidirect
96. C₂×#546	C₂²	semidirect
97. C₂×#546	C₂²	semidirect
98. C₂×#546	C₂²	semidirect
99. C₂×D₄²	C₂²	semidirect
100. C₂×D₄²	C₂²	semidirect
101. C₂×#544	C₂²	semidirect
102. C₂×#544	C₂²	semidirect
103. C₂×#543	C₂²	semidirect
104. C₂×#542	C₂²	semidirect
105. C₂×#542	C₂²	semidirect
106. C₂×#542	C₂²	semidirect
107. C₂×#542	C₂²	semidirect
108. C₂×#541	C₂²	semidirect
109. C₂×#540	C₂²	semidirect
110. C₂×#540	C₂²	semidirect
111. C₂×#540	C₂²	semidirect
112. C₂×#540	C₂²	semidirect
113. C₂×#540	C₂²	semidirect
114. C₂×#539	C₂²	semidirect
115. C₂×#539	C₂²	semidirect
116. C₂×#539	C₂²	semidirect
117. C₂×#539	C₂²	semidirect
118. C₂×#538	C₂²	semidirect
119. C₂×#538	C₂²	semidirect
120. C₂×#538	C₂²	semidirect
121. C₂×#538	C₂²	semidirect
122. C₂×#538	C₂²	semidirect
123. #3449	C₂²	semidirect
125. C₂×#537	C₂²	semidirect
126. C₂×#537	C₂²	semidirect
127. C₂×#537	C₂²	semidirect
128. C₂×#537	C₂²	semidirect
129. C₂×#537	C₂²	semidirect
130. C₂×#537	C₂²	semidirect
131. C₂×#537	C₂²	semidirect
132. C₂×#537	C₂²	semidirect
133. C₂×#537	C₂²	semidirect
134. C₂×#537	C₂²	semidirect
135. C₂×#537	C₂²	semidirect
136. C₂×#537	C₂²	semidirect
137. C₂×#537	C₂²	semidirect
138. C₂×#536	C₂²	semidirect
139. C₂×#536	C₂²	semidirect
140. C₂×#536	C₂²	semidirect
141. C₂×#536	C₂²	semidirect
142. C₂×#536	C₂²	semidirect
143. C₂×#535	C₂²	semidirect
144. C₂×#535	C₂²	semidirect
145. C₂×#535	C₂²	semidirect
146. C₂×#535	C₂²	semidirect
147. C₂×#535	C₂²	semidirect
148. C₂×#535	C₂²	semidirect
149. C₂×#535	C₂²	semidirect
150. C₂×#534	C₂²	semidirect
151. C₂×#534	C₂²	semidirect
152. C₂×#534	C₂²	semidirect
153. C₂×#534	C₂²	semidirect
154. C₂×#533	C₂²	semidirect
155. C₂×#532	C₂²	semidirect
156. C₂×#532	C₂²	semidirect
157. C₂×#532	C₂²	semidirect
158. C₂×#529	C₂²	semidirect
159. C₂×#529	C₂²	semidirect
161. C₂×#525	C₂²	semidirect
162. C₂×#525	C₂²	semidirect
163. C₂×#525	C₂²	semidirect
164. C₂×#525	C₂²	semidirect
165. C₂×#525	C₂²	semidirect
166. C₂×#525	C₂²	semidirect
167. C₂×#525	C₂²	semidirect
168. C₂×#525	C₂²	semidirect
169. C₂×#525	C₂²	semidirect
170. C₂²×#123	C₂²	semidirect
171. C₂²×C₂²⋊Q₈	C₂²	semidirect
172. C₂²×C₂²⋊Q₈	C₂²	semidirect
173. C₂²×C₂²⋊Q₈	C₂²	semidirect
174. C₂²×#121	C₂²	semidirect
175. C₂²×#121	C₂²	semidirect
176. C₂²×#121	C₂²	semidirect
177. C₂²×#121	C₂²	semidirect
178. C₂×#520	C₂²	semidirect
179. C₂×#520	C₂²	semidirect
180. C₂×#519	C₂²	semidirect
181. C₂×#518	C₂²	semidirect
182. C₂²×#117	C₂²	semidirect
183. C₂³×C₄⋊C₄	C₂²	semidirect
185. C₂×2₋¹⁺⁴	C₂³	semidirect
208. C₂²×#41	C₂³	semidirect
209. C₂²×#41	C₂³	semidirect
210. C₂²×#41	C₂³	semidirect
230. #563	C₂³	semidirect
231. #562	C₂³	semidirect
232. #562	C₂³	semidirect
233. #562	C₂³	semidirect
234. #562	C₂³	semidirect
235. #560	C₂³	semidirect
236. #560	C₂³	semidirect
237. #560	C₂³	semidirect
238. #556	C₂³	semidirect
239. #555	C₂³	semidirect
240. #555	C₂³	semidirect
241. #554	C₂³	semidirect
242. #554	C₂³	semidirect
243. #554	C₂³	semidirect
244. #554	C₂³	semidirect
245. #553	C₂³	semidirect
246. #553	C₂³	semidirect
247. #553	C₂³	semidirect
248. #553	C₂³	semidirect
249. #553	C₂³	semidirect
250. #553	C₂³	semidirect
251. #552	C₂³	semidirect
252. #552	C₂³	semidirect
253. #552	C₂³	semidirect
254. #552	C₂³	semidirect
255. #552	C₂³	semidirect
256. #551	C₂³	semidirect
257. #551	C₂³	semidirect
258. #551	C₂³	semidirect
259. #550	C₂³	semidirect
260. #550	C₂³	semidirect
261. #550	C₂³	semidirect
262. #550	C₂³	semidirect
263. D₄×Q₈	C₂³	semidirect
264. #548	C₂³	semidirect
265. #548	C₂³	semidirect
266. #548	C₂³	semidirect
267. #548	C₂³	semidirect
268. #547	C₂³	semidirect
269. #547	C₂³	semidirect
270. #547	C₂³	semidirect
271. #547	C₂³	semidirect
272. #547	C₂³	semidirect
273. #547	C₂³	semidirect
274. #547	C₂³	semidirect
275. #546	C₂³	semidirect
276. #546	C₂³	semidirect
277. #546	C₂³	semidirect
278. #546	C₂³	semidirect
279. #546	C₂³	semidirect
280. #546	C₂³	semidirect
281. #546	C₂³	semidirect
282. #546	C₂³	semidirect
283. #546	C₂³	semidirect
284. D₄²	C₂³	semidirect
285. D₄²	C₂³	semidirect
286. #544	C₂³	semidirect
287. #544	C₂³	semidirect
288. #543	C₂³	semidirect
289. #542	C₂³	semidirect
290. #542	C₂³	semidirect
291. #542	C₂³	semidirect
292. #542	C₂³	semidirect
293. #541	C₂³	semidirect
294. #540	C₂³	semidirect
295. #540	C₂³	semidirect
296. #540	C₂³	semidirect
297. #540	C₂³	semidirect
298. #540	C₂³	semidirect
299. #539	C₂³	semidirect
300. #539	C₂³	semidirect
301. #539	C₂³	semidirect
302. #539	C₂³	semidirect
303. #538	C₂³	semidirect
304. #538	C₂³	semidirect
305. #538	C₂³	semidirect
306. #538	C₂³	semidirect
307. #538	C₂³	semidirect
309. #537	C₂³	semidirect
310. #537	C₂³	semidirect
311. #537	C₂³	semidirect
312. #537	C₂³	semidirect
313. #537	C₂³	semidirect
314. #537	C₂³	semidirect
315. #537	C₂³	semidirect
316. #537	C₂³	semidirect
317. #537	C₂³	semidirect
318. #537	C₂³	semidirect
319. #537	C₂³	semidirect
320. #537	C₂³	semidirect
321. #536	C₂³	semidirect
322. #536	C₂³	semidirect
323. #536	C₂³	semidirect
324. #536	C₂³	semidirect
325. #536	C₂³	semidirect
326. #535	C₂³	semidirect
327. #535	C₂³	semidirect
328. #535	C₂³	semidirect
329. #535	C₂³	semidirect
330. #535	C₂³	semidirect
331. #535	C₂³	semidirect
332. #535	C₂³	semidirect
333. #534	C₂³	semidirect
334. #534	C₂³	semidirect
335. #534	C₂³	semidirect
336. #534	C₂³	semidirect
337. #533	C₂³	semidirect
338. #532	C₂³	semidirect
339. #532	C₂³	semidirect
340. #532	C₂³	semidirect
352. #529	C₂³	semidirect
353. #529	C₂³	semidirect
382. #525	C₂³	semidirect
383. #525	C₂³	semidirect
384. #525	C₂³	semidirect
385. #525	C₂³	semidirect
386. #525	C₂³	semidirect
387. #525	C₂³	semidirect
388. #525	C₂³	semidirect
389. #525	C₂³	semidirect
390. #525	C₂³	semidirect
417. C₂×#123	C₂³	semidirect
454. C₂×C₂²⋊Q₈	C₂³	semidirect
455. C₂×C₂²⋊Q₈	C₂³	semidirect
456. C₂×C₂²⋊Q₈	C₂³	semidirect
511. C₂×#121	C₂³	semidirect
512. C₂×#121	C₂³	semidirect
513. C₂×#121	C₂³	semidirect
514. C₂×#121	C₂³	semidirect
529. #520	C₂³	semidirect
530. #520	C₂³	semidirect
531. #519	C₂³	semidirect
532. #518	C₂³	semidirect
576. C₂×#117	C₂³	semidirect
589. C₂²×C₄⋊C₄	C₂³	semidirect
1529. C₂	#62875	direct (N × H)

Maximal subgroups

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

subgroup	index
#62875	2
C₂×#3495	2
C₂×#3489	2
C₂×#3494	2
C₂×#3488	2
C₂×#3487	2
C₂×#3485	2
C₂×#3492	2
C₂×#3548	2
C₂×#3547	2
C₂×#3546	2
C₂×#3551	2
C₂×#3539	2
C₂×#3536	2
C₂×#3535	2
C₂×#3534	2
C₂×#3541	2
C₂×#3542	2
C₂×#3449	2
C₂²×#537	2

Subgroups — C2×#62875 #10586209

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#62875 #10586209