Subgroups — C₂×#62752 #10586152

Order 512.

31992 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62752	C₂	1	64	yes	maximal, direct product factor
2	C₂×#3555	C₂	1	2	yes	maximal, complemented
3	C₂×#3547	C₂	1	2	yes	maximal, complemented
4	C₂×#3544	C₂	1	2	yes	maximal, complemented
5	C₂×#3552	C₂	1	2	yes	maximal, complemented
6	C₂×#3565	C₂	1	4	yes	maximal, complemented
7	C₂×#3564	C₂	1	4	yes	maximal, complemented
8	C₂×#3563	C₂	1	2	yes	maximal, complemented
9	C₂×#3563	C₂	1	2	yes	maximal, complemented
10	C₂×#3559	C₂	1	2	yes	maximal, complemented
11	C₂×#3561	C₂	1	2	yes	maximal, complemented
12	C₂×#3538	C₂	1	2	yes	maximal, complemented
13	C₂×#3536	C₂	1	2	yes	maximal, complemented
14	C₂×#3535	C₂	1	4	yes	maximal, complemented
15	C₂×#3482	C₂	1	4	yes	maximal, complemented
16	C₂×Q₈×#41	C₂	1	2	yes	maximal, complemented
17	C₂×#3475	C₂	1	4	yes	maximal, complemented
18	C₂×#3475	C₂	1	2	yes	maximal, complemented
19	C₂×#3531	C₂	1	4	yes	maximal, complemented
20	C₂×#3455	C₂	1	2	yes	maximal, complemented
21	C₂×#3458	C₂	1	2	yes	maximal, complemented
22	C₂×#3461	C₂	1	4	yes	maximal, complemented
23	C₂×#3461	C₂	1	4	yes	maximal, complemented
24	C₂×#3444	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#533	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂²×#529	C₂	1	1	yes	maximal, characteristic, complemented
27	#3565	C₂²	1	128	yes	complemented
28	#3564	C₂²	1	128	yes	complemented
29	#3563	C₂²	1	64	yes	complemented
30	#3563	C₂²	1	64	yes	complemented
31	#3561	C₂²	1	64	yes	complemented
32	#3559	C₂²	1	64	yes	complemented
33	#3555	C₂²	1	64	yes	complemented
34	#3552	C₂²	1	64	yes	complemented
35	#3547	C₂²	1	64	yes	complemented
36	#3544	C₂²	1	64	yes	complemented
37	#3538	C₂²	1	64	yes	complemented
38	#3536	C₂²	1	64	yes	complemented
39	#3535	C₂²	1	128	yes	complemented
40	#3531	C₂²	1	128	yes	complemented
41	C₂×#564	C₂²	1	4	yes	complemented
42	C₂×#563	C₂²	1	8	yes	complemented
43	C₂×#563	C₂²	1	8	yes	complemented
44	C₂×#563	C₂²	1	4	yes	complemented
45	C₂×#563	C₂²	1	4	yes	complemented
46	C₂×#563	C₂²	1	8	yes	complemented
47	C₂×#563	C₂²	1	8	yes	complemented
48	C₂×#562	C₂²	1	8	yes	—
49	C₂×#562	C₂²	1	8	yes	complemented
50	C₂×#562	C₂²	1	4	yes	complemented
51	#3482	C₂²	1	128	yes	complemented
52	Q₈×#41	C₂²	1	64	yes	complemented
53	C₂×Q₈²	C₂²	1	2	yes	complemented
54	C₂×#557	C₂²	1	4	yes	complemented
55	C₂×#557	C₂²	1	4	yes	complemented
56	C₂×#557	C₂²	1	2	yes	complemented
57	#3475	C₂²	1	128	yes	complemented
58	#3475	C₂²	1	64	yes	complemented
59	C₂×#556	C₂²	1	4	yes	complemented
60	C₂×#556	C₂²	1	8	yes	complemented
61	C₂×#556	C₂²	1	4	yes	complemented
62	C₂×#556	C₂²	1	2	yes	complemented
63	C₂×#555	C₂²	1	4	yes	complemented
64	C₂×#555	C₂²	1	2	yes	complemented
65	C₂×#554	C₂²	1	8	yes	—
66	C₂×#554	C₂²	1	4	yes	—
67	C₂×#554	C₂²	1	4	yes	complemented
68	C₂×#554	C₂²	1	4	yes	complemented
69	C₂×#554	C₂²	1	2	yes	complemented
70	C₂×#554	C₂²	1	2	yes	complemented
71	C₂×#553	C₂²	1	4	yes	complemented
72	C₂×#553	C₂²	1	4	yes	complemented
73	C₂×#553	C₂²	1	4	yes	complemented
74	C₂×#552	C₂²	1	4	yes	—
75	C₂×#552	C₂²	1	8	yes	—
76	C₂×#552	C₂²	1	8	yes	complemented
77	C₂×#552	C₂²	1	4	yes	complemented
78	C₂×#552	C₂²	1	4	yes	complemented
79	C₂×#552	C₂²	1	4	yes	complemented
80	C₂×#552	C₂²	1	4	yes	complemented
81	C₂×#552	C₂²	1	8	yes	complemented
82	C₂×#552	C₂²	1	4	yes	complemented
83	C₂×#551	C₂²	1	8	yes	—
84	C₂×#551	C₂²	1	8	yes	—
85	C₂×#551	C₂²	1	8	yes	—
86	C₂×D₄×Q₈	C₂²	1	4	yes	—
87	C₂×D₄×Q₈	C₂²	1	4	yes	complemented
88	C₂×D₄×Q₈	C₂²	1	2	yes	complemented
89	C₂×#548	C₂²	1	4	yes	—
90	C₂×#548	C₂²	1	4	yes	complemented
91	C₂×#547	C₂²	1	4	yes	—
92	C₂×#547	C₂²	1	8	yes	complemented
93	C₂×#547	C₂²	1	4	yes	complemented
94	C₂×#547	C₂²	1	2	yes	complemented
95	C₂×#546	C₂²	1	8	yes	—
96	C₂×#546	C₂²	1	4	yes	—
97	#3461	C₂²	1	128	yes	complemented
98	#3461	C₂²	1	128	yes	complemented
99	#3458	C₂²	1	64	yes	complemented
100	C₂×#544	C₂²	1	4	yes	—
101	C₂×#544	C₂²	1	4	yes	—
102	C₂×#544	C₂²	1	4	yes	complemented
103	C₂×#544	C₂²	1	4	yes	complemented
104	C₂×#544	C₂²	1	4	yes	complemented
105	C₂×#544	C₂²	1	4	yes	complemented
106	C₂×#544	C₂²	1	4	yes	complemented
107	C₂×#544	C₂²	1	4	yes	complemented
108	C₂×#543	C₂²	1	4	yes	—
109	C₂×#543	C₂²	1	4	yes	—
110	#3455	C₂²	1	64	yes	complemented
111	C₂×#542	C₂²	1	4	yes	—
112	C₂×#542	C₂²	1	8	yes	complemented
113	C₂×#542	C₂²	1	8	yes	complemented
114	C₂×#542	C₂²	1	4	yes	complemented
115	C₂×#542	C₂²	1	8	yes	complemented
116	C₂×#542	C₂²	1	4	yes	complemented
117	C₂×#542	C₂²	1	4	yes	complemented
118	C₂×#541	C₂²	1	4	yes	complemented
119	C₂×#541	C₂²	1	8	yes	complemented
120	C₂×#541	C₂²	1	8	yes	complemented
121	C₂×#541	C₂²	1	4	yes	complemented
122	C₂×#541	C₂²	1	4	yes	complemented
123	C₂×#541	C₂²	1	8	yes	complemented
124	C₂×#540	C₂²	1	4	yes	complemented
125	C₂×#539	C₂²	1	4	yes	—
126	C₂×#539	C₂²	1	4	yes	—
127	C₂×#539	C₂²	1	4	yes	—
128	C₂×#539	C₂²	1	8	yes	complemented
129	C₂×#539	C₂²	1	8	yes	complemented
130	C₂×#539	C₂²	1	4	yes	complemented
131	C₂×#539	C₂²	1	8	yes	complemented
132	C₂×#538	C₂²	1	4	yes	—
133	C₂×#538	C₂²	1	4	yes	—
134	C₂×#537	C₂²	1	4	yes	—
135	C₂×#537	C₂²	1	4	yes	—
136	C₂×#536	C₂²	1	8	yes	complemented
137	C₂×#536	C₂²	1	4	yes	complemented
138	C₂×#536	C₂²	1	4	yes	complemented
139	#3444	C₂²	1	32	yes	complemented
140	C₂×#533	C₂²	1	2	yes	—
141	C₂×#533	C₂²	1	2	yes	—
142	C₂×#533	C₂²	1	2	yes	—
143	C₂×#533	C₂²	1	2	yes	—
144	C₂×#533	C₂²	1	1	yes	characteristic
145	C₂×#533	C₂²	1	4	yes	—
146	C₂×#533	C₂²	1	1	yes	characteristic, complemented
147	C₂×#533	C₂²	1	2	yes	complemented
148	C₂×#533	C₂²	1	2	yes	complemented
149	C₂×#533	C₂²	1	1	yes	characteristic, complemented
150	C₂×#533	C₂²	1	2	yes	complemented
151	C₂×#533	C₂²	1	2	yes	complemented
152	C₂×#533	C₂²	1	8	yes	complemented
153	C₂×#533	C₂²	1	8	yes	complemented
154	C₂×#533	C₂²	1	4	yes	complemented
155	C₂×#533	C₂²	1	8	yes	complemented
156	C₂×#533	C₂²	1	32	yes	complemented
157	C₂×#532	C₂²	1	1	yes	characteristic
158	C₂×#532	C₂²	1	1	yes	characteristic, complemented
159	C₂×#532	C₂²	1	1	yes	characteristic, complemented
160	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
161	C₂²×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
162	C₂×#529	C₂²	1	2	yes	—
163	C₂×#529	C₂²	1	2	yes	—
164	C₂×#529	C₂²	1	2	yes	—
165	C₂×#529	C₂²	1	2	yes	—
166	C₂×#529	C₂²	1	2	yes	—
167	C₂×#529	C₂²	1	2	yes	—
168	C₂×#529	C₂²	1	2	yes	—
169	C₂×#529	C₂²	1	2	yes	—
170	C₂×#529	C₂²	1	2	yes	—
171	C₂×#529	C₂²	1	2	yes	—
172	C₂×#529	C₂²	1	32	yes	complemented
173	C₂×#529	C₂²	1	2	yes	complemented
174	C₂×#529	C₂²	1	2	yes	complemented
175	C₂×#529	C₂²	1	2	yes	complemented
176	C₂×#529	C₂²	1	2	yes	complemented
177	C₂×#529	C₂²	1	8	yes	complemented
178	C₂×#529	C₂²	1	8	yes	complemented
179	C₂×#529	C₂²	1	8	yes	complemented
180	C₂×#529	C₂²	1	8	yes	complemented
181	C₂×#529	C₂²	1	4	yes	complemented
182	C₂×#529	C₂²	1	8	yes	complemented
183	C₂×#529	C₂²	1	8	yes	complemented
184	C₂²×#126	C₂²	1	2	yes	—
185	C₂²×#125	C₂²	1	1	yes	characteristic
186	C₂²×#125	C₂²	1	2	yes	complemented
187	C₂²×#124	C₂²	1	1	yes	characteristic
188	C₂×#525	C₂²	1	2	yes	—
189	C₂×#525	C₂²	1	2	yes	—
190	C₂×#525	C₂²	1	2	yes	—
191	C₂×#525	C₂²	1	4	yes	—
192	C₂²×#123	C₂²	1	2	yes	—
193	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
194	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
195	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
196	C₂²×#121	C₂²	1	1	yes	characteristic
197	C₂×C₄×#41	C₂²	1	2	yes	—
198	C₂×C₄×#41	C₂²	1	4	yes	—
199	C₂×C₄×#41	C₂²	1	2	yes	complemented
200	C₂×C₄×#41	C₂²	1	2	yes	complemented
201	C₂×C₄×#41	C₂²	1	8	yes	complemented
202	C₂×C₄×#41	C₂²	1	4	yes	complemented
203	C₂²×C₄×Q₈	C₂²	1	1	yes	characteristic
204	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
205	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
206	C₂²×C₄×Q₈	C₂²	1	4	yes	complemented
207	C₂²×C₄×D₄	C₂²	1	2	yes	—
208	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
209	C₂²×#117	C₂²	1	2	yes	—
210	C₂²×#117	C₂²	1	2	yes	—
211	C₂²×#117	C₂²	1	4	yes	—
212	C₂³×C₄²	C₂²	1	1	yes	characteristic
213	C₂²×#41	C₂³	1	2	yes	—
214	C₂²×#41	C₂³	1	2	yes	—
215	C₂²×#41	C₂³	1	2	yes	—
216	C₂²×#41	C₂³	1	8	yes	—
217	C₂²×#41	C₂³	1	4	yes	—
218	C₂³×Q₈	C₂³	1	1	yes	characteristic
219	C₂³×Q₈	C₂³	1	2	yes	—
220	C₂³×Q₈	C₂³	1	2	yes	—
221	C₂³×Q₈	C₂³	1	4	yes	—
222	C₂³×D₄	C₂³	1	2	yes	—
223	C₂³×D₄	C₂³	1	1	yes	characteristic
224	C₂⁴×C₄	C₂³	1	1	yes	characteristic
225	C₂⁴×C₄	C₂³	1	2	yes	—
226	C₂⁴×C₄	C₂³	1	1	yes	characteristic
227	C₂⁴×C₄	C₂³	1	1	yes	characteristic
228	#564	C₂³	1	64	yes	complemented
229	#563	C₂³	1	128	yes	complemented
230	#563	C₂³	1	128	yes	complemented
231	#563	C₂³	1	128	yes	complemented
232	#563	C₂³	1	128	yes	complemented
233	#563	C₂³	1	64	yes	complemented
234	#563	C₂³	1	64	yes	complemented
235	#562	C₂³	1	128	yes	—
236	#562	C₂³	1	128	yes	complemented
237	#562	C₂³	1	64	yes	complemented
238	Q₈²	C₂³	1	32	yes	complemented
239	#557	C₂³	1	32	yes	complemented
240	#557	C₂³	1	64	yes	complemented
241	#557	C₂³	1	64	yes	complemented
242	#556	C₂³	1	32	yes	complemented
243	#556	C₂³	1	64	yes	complemented
244	#556	C₂³	1	64	yes	complemented
245	#556	C₂³	1	128	yes	complemented
246	#555	C₂³	1	32	yes	complemented
247	#555	C₂³	1	64	yes	complemented
248	#554	C₂³	1	128	yes	—
249	#554	C₂³	1	64	yes	—
250	#554	C₂³	1	32	yes	complemented
251	#554	C₂³	1	64	yes	complemented
252	#554	C₂³	1	32	yes	complemented
253	#554	C₂³	1	64	yes	complemented
254	#553	C₂³	1	64	yes	complemented
255	#553	C₂³	1	64	yes	complemented
256	#553	C₂³	1	64	yes	complemented
257	#552	C₂³	1	64	yes	—
258	#552	C₂³	1	128	yes	—
259	#552	C₂³	1	64	yes	complemented
260	#552	C₂³	1	64	yes	complemented
261	#552	C₂³	1	64	yes	complemented
262	#552	C₂³	1	128	yes	complemented
263	#552	C₂³	1	64	yes	complemented
264	#552	C₂³	1	64	yes	complemented
265	#552	C₂³	1	128	yes	complemented
266	#551	C₂³	1	128	yes	—
267	#551	C₂³	1	128	yes	—
268	#551	C₂³	1	128	yes	—
269	D₄×Q₈	C₂³	1	64	yes	—
270	D₄×Q₈	C₂³	1	32	yes	complemented
271	D₄×Q₈	C₂³	1	64	yes	complemented
272	#548	C₂³	1	64	yes	—
273	#548	C₂³	1	64	yes	complemented
274	#547	C₂³	1	64	yes	—
275	#547	C₂³	1	64	yes	complemented
276	#547	C₂³	1	32	yes	complemented
277	#547	C₂³	1	128	yes	complemented
278	#546	C₂³	1	128	yes	—
279	#546	C₂³	1	64	yes	—
280	#544	C₂³	1	64	yes	—
281	#544	C₂³	1	64	yes	—
282	#544	C₂³	1	64	yes	complemented
283	#544	C₂³	1	64	yes	complemented
284	#544	C₂³	1	64	yes	complemented
285	#544	C₂³	1	64	yes	complemented
286	#544	C₂³	1	64	yes	complemented
287	#544	C₂³	1	64	yes	complemented
288	#543	C₂³	1	64	yes	—
289	#543	C₂³	1	64	yes	—
290	#542	C₂³	1	64	yes	—
291	#542	C₂³	1	64	yes	complemented
292	#542	C₂³	1	64	yes	complemented
293	#542	C₂³	1	128	yes	complemented
294	#542	C₂³	1	64	yes	complemented
295	#542	C₂³	1	128	yes	complemented
296	#542	C₂³	1	128	yes	complemented
297	#541	C₂³	1	64	yes	complemented
298	#541	C₂³	1	64	yes	complemented
299	#541	C₂³	1	64	yes	complemented
300	#541	C₂³	1	128	yes	complemented
301	#541	C₂³	1	128	yes	complemented
302	#541	C₂³	1	128	yes	complemented
303	#540	C₂³	1	64	yes	complemented
304	#539	C₂³	1	64	yes	—
305	#539	C₂³	1	64	yes	—
306	#539	C₂³	1	64	yes	—
307	#539	C₂³	1	128	yes	complemented
308	#539	C₂³	1	128	yes	complemented
309	#539	C₂³	1	64	yes	complemented
310	#539	C₂³	1	128	yes	complemented
311	#538	C₂³	1	64	yes	—
312	#538	C₂³	1	64	yes	—
313	#537	C₂³	1	64	yes	—
314	#537	C₂³	1	64	yes	—
315	#536	C₂³	1	128	yes	complemented
316	#536	C₂³	1	64	yes	complemented
317	#536	C₂³	1	64	yes	complemented
318	#533	C₂³	1	32	yes	—
319	#533	C₂³	1	32	yes	—
320	#533	C₂³	1	32	yes	—
321	#533	C₂³	1	32	yes	—
322	#533	C₂³	1	16	yes	—
323	#533	C₂³	1	64	yes	—
324	#533	C₂³	1	32	yes	complemented
325	#533	C₂³	1	32	yes	complemented
326	#533	C₂³	1	32	yes	complemented
327	#533	C₂³	1	32	yes	complemented
328	#533	C₂³	1	16	yes	complemented
329	#533	C₂³	1	16	yes	complemented
330	#533	C₂³	1	128	yes	complemented
331	#533	C₂³	1	128	yes	complemented
332	#533	C₂³	1	64	yes	complemented
333	#533	C₂³	1	128	yes	complemented
334	#532	C₂³	1	16	yes	—
335	#532	C₂³	1	16	yes	complemented
336	#532	C₂³	1	16	yes	complemented
337	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
338	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
339	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
340	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
341	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
342	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
343	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
344	C₂×C₄⋊Q₈	C₂³	1	2	yes	—
345	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
349	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
350	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
351	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
352	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
353	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
354	C₂×C₄⋊Q₈	C₂³	1	4	yes	—
355	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
356	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
357	C₂×C₄⋊Q₈	C₂³	1	8	yes	—
358	C₂×C₄⋊Q₈	C₂³	1	16	yes	complemented
359	C₂×C₄⋊Q₈	C₂³	1	16	yes	complemented
360	C₂×#127	C₂³	1	1	yes	characteristic
361	#529	C₂³	1	32	yes	—
362	#529	C₂³	1	32	yes	—
363	#529	C₂³	1	32	yes	—
364	#529	C₂³	1	32	yes	—
365	#529	C₂³	1	32	yes	—
366	#529	C₂³	1	32	yes	—
367	#529	C₂³	1	32	yes	—
368	#529	C₂³	1	32	yes	—
369	#529	C₂³	1	32	yes	—
370	#529	C₂³	1	32	yes	—
371	#529	C₂³	1	32	yes	complemented
372	#529	C₂³	1	32	yes	complemented
373	#529	C₂³	1	32	yes	complemented
374	#529	C₂³	1	32	yes	complemented
375	#529	C₂³	1	128	yes	complemented
376	#529	C₂³	1	128	yes	complemented
377	#529	C₂³	1	128	yes	complemented
378	#529	C₂³	1	64	yes	complemented
379	#529	C₂³	1	128	yes	complemented
380	#529	C₂³	1	128	yes	complemented
381	#529	C₂³	1	128	yes	complemented
382	C₂×#126	C₂³	1	4	yes	—
383	C₂×#126	C₂³	1	4	yes	—
384	C₂×#126	C₂³	1	4	yes	—
385	C₂×#126	C₂³	1	4	yes	—
386	C₂×#126	C₂³	1	32	yes	—
387	C₂×#126	C₂³	1	4	yes	—
388	C₂×#126	C₂³	1	4	yes	—
389	C₂×#126	C₂³	1	8	yes	—
390	C₂×#126	C₂³	1	8	yes	—
391	C₂×#126	C₂³	1	8	yes	—
392	C₂×#126	C₂³	1	8	yes	—
393	C₂×#126	C₂³	1	8	yes	—
394	C₂×#126	C₂³	1	8	yes	—
395	C₂×#126	C₂³	1	8	yes	—
396	C₂×#126	C₂³	1	8	yes	—
397	C₂×#126	C₂³	1	8	yes	—
398	C₂×#126	C₂³	1	8	yes	—
399	C₂×#126	C₂³	1	8	yes	—
400	C₂×#126	C₂³	1	8	yes	—
401	C₂×#126	C₂³	1	8	yes	—
402	C₂×#125	C₂³	1	2	yes	—
403	C₂×#125	C₂³	1	2	yes	—
404	C₂×#125	C₂³	1	2	yes	—
405	C₂×#125	C₂³	1	2	yes	—
406	C₂×#125	C₂³	1	16	yes	—
407	C₂×#125	C₂³	1	4	yes	—
408	C₂×#125	C₂³	1	4	yes	—
409	C₂×#125	C₂³	1	4	yes	—
410	C₂×#125	C₂³	1	4	yes	—
411	C₂×#125	C₂³	1	2	yes	—
412	C₂×#125	C₂³	1	2	yes	—
413	C₂×#125	C₂³	1	2	yes	—
414	C₂×#125	C₂³	1	8	yes	—
415	C₂×#125	C₂³	1	8	yes	—
416	C₂×#125	C₂³	1	8	yes	—
417	C₂×#125	C₂³	1	8	yes	—
418	C₂×#125	C₂³	1	4	yes	—
419	C₂×#125	C₂³	1	8	yes	—
420	C₂×#125	C₂³	1	8	yes	—
421	C₂×#125	C₂³	1	4	yes	—
422	C₂×#125	C₂³	1	4	yes	—
423	C₂×#125	C₂³	1	8	yes	—
424	C₂×#125	C₂³	1	8	yes	—
425	C₂×#125	C₂³	1	8	yes	—
426	C₂×#125	C₂³	1	8	yes	—
427	C₂×#125	C₂³	1	8	yes	—
428	C₂×#125	C₂³	1	8	yes	—
429	C₂×#125	C₂³	1	8	yes	—
430	C₂×#125	C₂³	1	32	yes	complemented
431	C₂×#124	C₂³	1	2	yes	—
432	C₂×#124	C₂³	1	2	yes	—
433	C₂×#124	C₂³	1	2	yes	—
434	C₂×#124	C₂³	1	2	yes	—
435	C₂×#124	C₂³	1	16	yes	—
436	C₂×#124	C₂³	1	2	yes	—
437	C₂×#124	C₂³	1	2	yes	—
438	C₂×#124	C₂³	1	2	yes	—
439	C₂×#124	C₂³	1	8	yes	—
440	C₂×#124	C₂³	1	4	yes	—
441	C₂×#124	C₂³	1	8	yes	—
442	C₂×#124	C₂³	1	8	yes	—
443	C₂×#124	C₂³	1	8	yes	—
444	C₂×#124	C₂³	1	8	yes	—
445	C₂×#124	C₂³	1	8	yes	—
446	#525	C₂³	1	32	yes	—
447	#525	C₂³	1	32	yes	—
448	#525	C₂³	1	32	yes	—
449	#525	C₂³	1	64	yes	—
450	C₂×#123	C₂³	1	4	yes	—
451	C₂×#123	C₂³	1	4	yes	—
452	C₂×#123	C₂³	1	4	yes	—
453	C₂×#123	C₂³	1	4	yes	—
454	C₂×#123	C₂³	1	32	yes	—
455	C₂×#123	C₂³	1	4	yes	—
456	C₂×#123	C₂³	1	4	yes	—
457	C₂×#123	C₂³	1	4	yes	—
458	C₂×#123	C₂³	1	8	yes	—
459	C₂×#123	C₂³	1	8	yes	—
460	C₂×#123	C₂³	1	8	yes	—
461	C₂×#123	C₂³	1	8	yes	—
462	C₂×#123	C₂³	1	8	yes	—
463	C₂×#123	C₂³	1	8	yes	—
464	C₂×#123	C₂³	1	8	yes	—
465	C₂×#123	C₂³	1	8	yes	—
466	C₂×#123	C₂³	1	8	yes	—
467	C₂×#123	C₂³	1	8	yes	—
468	C₂×#123	C₂³	1	8	yes	—
469	C₂×#123	C₂³	1	8	yes	—
470	C₂×#123	C₂³	1	8	yes	—
471	C₂×#123	C₂³	1	8	yes	—
472	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
473	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
474	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
475	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
476	C₂×C₂²⋊Q₈	C₂³	1	16	yes	—
477	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
478	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
479	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
480	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
481	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
482	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
483	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
484	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
485	C₂×C₂²⋊Q₈	C₂³	1	32	yes	—
486	C₂×C₂²⋊Q₈	C₂³	1	32	yes	—
487	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
488	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
489	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
490	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
491	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
492	C₂×C₂²⋊Q₈	C₂³	1	2	yes	—
493	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
494	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
495	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
496	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
497	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
498	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
499	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
500	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
501	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
502	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
503	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
504	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
505	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
506	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
507	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
508	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
509	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
510	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
511	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
512	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
513	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
514	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
515	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
516	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
517	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
518	C₂×C₂²⋊Q₈	C₂³	1	8	yes	—
519	C₂×#121	C₂³	1	2	yes	—
520	C₂×#121	C₂³	1	2	yes	—
521	C₂×#121	C₂³	1	2	yes	—
522	C₂×#121	C₂³	1	2	yes	—
523	C₂×#121	C₂³	1	16	yes	—
524	C₂×#121	C₂³	1	2	yes	—
525	C₂×#121	C₂³	1	2	yes	—
526	C₂×#121	C₂³	1	2	yes	—
527	C₂×#121	C₂³	1	2	yes	—
528	C₂×#121	C₂³	1	2	yes	—
529	C₂×#121	C₂³	1	2	yes	—
530	C₂×#121	C₂³	1	4	yes	—
531	C₂×#121	C₂³	1	4	yes	—
532	C₂×#121	C₂³	1	8	yes	—
533	C₂×#121	C₂³	1	8	yes	—
534	C₂×#121	C₂³	1	8	yes	—
535	C₂×#121	C₂³	1	4	yes	—
536	C₂×#121	C₂³	1	8	yes	—
537	C₂×#121	C₂³	1	8	yes	—
538	C₂×#121	C₂³	1	8	yes	—
539	C₂×#120	C₂³	1	4	yes	—
540	C₂×#120	C₂³	1	8	yes	—
541	C₄×#41	C₂³	1	32	yes	—
542	C₄×#41	C₂³	1	64	yes	—
543	C₄×#41	C₂³	1	32	yes	complemented
544	C₄×#41	C₂³	1	32	yes	complemented
545	C₄×#41	C₂³	1	128	yes	complemented
546	C₄×#41	C₂³	1	64	yes	complemented
547	C₂×C₄×Q₈	C₂³	1	2	yes	—
548	C₂×C₄×Q₈	C₂³	1	2	yes	—
549	C₂×C₄×Q₈	C₂³	1	2	yes	—
550	C₂×C₄×Q₈	C₂³	1	2	yes	—
551	C₂×C₄×Q₈	C₂³	1	16	yes	—
552	C₂×C₄×Q₈	C₂³	1	4	yes	—
553	C₂×C₄×Q₈	C₂³	1	4	yes	—
554	C₂×C₄×Q₈	C₂³	1	4	yes	—
555	C₂×C₄×Q₈	C₂³	1	4	yes	—
556	C₂×C₄×Q₈	C₂³	1	8	yes	—
557	C₂×C₄×Q₈	C₂³	1	4	yes	—
558	C₂×C₄×Q₈	C₂³	1	4	yes	—
559	C₂×C₄×Q₈	C₂³	1	4	yes	—
560	C₂×C₄×Q₈	C₂³	1	4	yes	—
561	C₂×C₄×Q₈	C₂³	1	4	yes	—
562	C₂×C₄×Q₈	C₂³	1	4	yes	—
563	C₂×C₄×Q₈	C₂³	1	8	yes	—
564	C₂×C₄×Q₈	C₂³	1	2	yes	—
565	C₂×C₄×Q₈	C₂³	1	2	yes	—
566	C₂×C₄×Q₈	C₂³	1	4	yes	—
567	C₂×C₄×Q₈	C₂³	1	4	yes	—
568	C₂×C₄×Q₈	C₂³	1	2	yes	—
569	C₂×C₄×Q₈	C₂³	1	2	yes	—
570	C₂×C₄×Q₈	C₂³	1	2	yes	—
571	C₂×C₄×Q₈	C₂³	1	2	yes	—
572	C₂×C₄×Q₈	C₂³	1	8	yes	—
573	C₂×C₄×Q₈	C₂³	1	4	yes	—
574	C₂×C₄×Q₈	C₂³	1	8	yes	—
575	C₂×C₄×Q₈	C₂³	1	32	yes	complemented
576	C₂×C₄×Q₈	C₂³	1	32	yes	complemented
577	C₂×C₄×Q₈	C₂³	1	64	yes	complemented
578	C₂×C₄×D₄	C₂³	1	4	yes	—
579	C₂×C₄×D₄	C₂³	1	2	yes	—
580	C₂×C₄×D₄	C₂³	1	4	yes	—
581	C₂×C₄×D₄	C₂³	1	2	yes	—
582	C₂×C₄×D₄	C₂³	1	4	yes	—
583	C₂×C₄×D₄	C₂³	1	2	yes	—
584	C₂×C₄×D₄	C₂³	1	2	yes	—
585	C₂×C₄×D₄	C₂³	1	4	yes	—
586	C₂×C₄×D₄	C₂³	1	32	yes	—
587	C₂×C₄×D₄	C₂³	1	16	yes	—
588	C₂×C₄×D₄	C₂³	1	4	yes	—
589	C₂×C₄×D₄	C₂³	1	4	yes	—
590	C₂×C₄×D₄	C₂³	1	2	yes	—
591	C₂×C₄×D₄	C₂³	1	2	yes	—
592	C₂×C₄×D₄	C₂³	1	8	yes	—
593	C₂×C₄×D₄	C₂³	1	8	yes	—
594	C₂×C₄×D₄	C₂³	1	4	yes	—
595	C₂×C₄×D₄	C₂³	1	4	yes	—
596	C₂×C₄×D₄	C₂³	1	4	yes	—
597	C₂×C₄×D₄	C₂³	1	4	yes	—
598	C₂×C₄×D₄	C₂³	1	8	yes	—
599	C₂×C₄×D₄	C₂³	1	8	yes	—
600	C₂×C₄×D₄	C₂³	1	4	yes	—
601	C₂×C₄×D₄	C₂³	1	4	yes	—
602	C₂×C₄×D₄	C₂³	1	2	yes	—
603	C₂×C₄×D₄	C₂³	1	2	yes	—
604	C₂×C₄×D₄	C₂³	1	2	yes	—
605	C₂×C₄×D₄	C₂³	1	2	yes	—
606	C₂×C₄×D₄	C₂³	1	8	yes	—
607	C₂×C₄×D₄	C₂³	1	8	yes	—
608	C₂×C₄×D₄	C₂³	1	8	yes	—
609	C₂×C₄×D₄	C₂³	1	4	yes	—
610	C₂×C₄×D₄	C₂³	1	8	yes	—
611	C₂×#117	C₂³	1	4	yes	—
612	C₂×#117	C₂³	1	2	yes	—
613	C₂×#117	C₂³	1	4	yes	—
614	C₂×#117	C₂³	1	4	yes	—
615	C₂×#117	C₂³	1	4	yes	—
616	C₂×#117	C₂³	1	4	yes	—
617	C₂×#117	C₂³	1	4	yes	—
618	C₂×#117	C₂³	1	8	yes	—
619	C₂×#117	C₂³	1	32	yes	—
620	C₂×#117	C₂³	1	4	yes	—
621	C₂×#117	C₂³	1	4	yes	—
622	C₂×#117	C₂³	1	32	yes	—
623	C₂×#117	C₂³	1	8	yes	—
624	C₂×#117	C₂³	1	4	yes	—
625	C₂×#117	C₂³	1	4	yes	—
626	C₂×#117	C₂³	1	64	yes	—
627	C₂×#117	C₂³	1	4	yes	—
628	C₂×#117	C₂³	1	8	yes	—
629	C₂×#117	C₂³	1	2	yes	—
630	C₂×#117	C₂³	1	2	yes	—
631	C₂×#117	C₂³	1	4	yes	—
632	C₂×#117	C₂³	1	4	yes	—
633	C₂×#117	C₂³	1	8	yes	—
634	C₂×#117	C₂³	1	4	yes	—
635	C₂×#117	C₂³	1	8	yes	—
636	C₂×#117	C₂³	1	8	yes	—
637	C₂×#117	C₂³	1	8	yes	—
638	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
639	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
640	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
641	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
642	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
643	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
644	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
645	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
646	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
647	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
648	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
649	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
650	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
651	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
652	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
653	C₂²×C₄⋊C₄	C₂³	1	8	yes	—
654	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
655	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
656	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
657	C₂²×C₂²⋊C₄	C₂³	1	8	yes	—
658	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
659	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
660	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
661	C₂²×C₄²	C₂³	1	1	yes	characteristic
662	C₂²×C₄²	C₂³	1	1	yes	characteristic
663	C₂²×C₄²	C₂³	1	1	yes	characteristic
664	C₂²×C₄²	C₂³	1	1	yes	characteristic
665	C₂²×C₄²	C₂³	1	1	yes	characteristic
666	C₂²×C₄²	C₂³	1	1	yes	characteristic
667	C₂²×C₄²	C₂³	1	1	yes	characteristic
668	C₂²×C₄²	C₂³	1	1	yes	characteristic
669	C₂²×C₄²	C₂³	1	1	yes	characteristic
670	C₂²×C₄²	C₂³	1	1	yes	characteristic
671	C₂²×C₄²	C₂³	1	1	yes	characteristic
672	C₂²×C₄²	C₂³	1	1	yes	characteristic
673	C₂²×C₄²	C₂³	1	16	yes	—
674	C₂²×C₄²	C₂³	1	2	yes	—
675	C₂²×C₄²	C₂³	1	4	yes	—
676	C₂²×C₄²	C₂³	1	8	yes	—
677	C₂²×C₄²	C₂³	1	4	yes	—
678	C₂²×C₄²	C₂³	1	8	yes	—
679	C₂⁵	C₂⁴	1	1	yes	characteristic
680	C₂⁵	C₂⁴	1	2	yes	—
681	C₂×#41	—	2	16	no	—
682	C₂×#41	—	4	8	no	—
683	C₂×#41	—	4	8	no	—
684	C₂×#41	—	4	32	no	—
685	C₂×#41	—	4	16	no	—
686	C₂×#41	C₂⁴	1	16	yes	—
687	C₂×#41	C₂⁴	1	16	yes	—
688	C₂×#41	C₂⁴	1	16	yes	—
689	C₂×#41	C₂⁴	1	64	yes	—
690	C₂×#41	C₂⁴	1	32	yes	—
691	C₂²×Q₈	—	4	8	no	—
692	C₂²×Q₈	—	4	4	no	—
693	C₂²×Q₈	—	4	8	no	—
694	C₂²×Q₈	—	4	16	no	—
695	C₂²×Q₈	C₂⁴	1	2	yes	—
696	C₂²×Q₈	C₂⁴	1	2	yes	—
697	C₂²×Q₈	C₂⁴	1	4	yes	—
698	C₂²×Q₈	C₂⁴	1	2	yes	—
699	C₂²×Q₈	C₂⁴	1	4	yes	—
700	C₂²×Q₈	C₂⁴	1	4	yes	—
701	C₂²×Q₈	C₂⁴	1	4	yes	—
702	C₂²×Q₈	C₂⁴	1	8	yes	—
703	C₂²×Q₈	C₂⁴	1	2	yes	—
704	C₂²×Q₈	C₂⁴	1	2	yes	—
705	C₂²×Q₈	C₂⁴	1	8	yes	—
706	C₂²×Q₈	C₂⁴	1	8	yes	—
707	C₂²×Q₈	C₂⁴	1	16	yes	—
708	C₂²×Q₈	C₂⁴	1	16	yes	—
709	C₂²×Q₈	C₂⁴	1	32	yes	—
710	C₂²×D₄	—	4	4	no	—
711	C₂²×D₄	—	4	8	no	—
712	C₂²×D₄	C₂⁴	1	4	yes	—
713	C₂²×D₄	C₂⁴	1	2	yes	—
714	C₂²×D₄	C₂⁴	1	4	yes	—
715	C₂²×D₄	C₂⁴	1	4	yes	—
716	C₂²×D₄	C₂⁴	1	2	yes	—
717	C₂²×D₄	C₂⁴	1	4	yes	—
718	C₂²×D₄	C₂⁴	1	8	yes	—
719	C₂²×D₄	C₂⁴	1	8	yes	—
720	C₂²×D₄	C₂⁴	1	2	yes	—
721	C₂²×D₄	C₂⁴	1	4	yes	—
722	C₂²×D₄	C₂⁴	1	2	yes	—
723	C₂²×D₄	C₂⁴	1	2	yes	—
724	C₂²×D₄	C₂⁴	1	16	yes	—
725	C₂²×D₄	C₂⁴	1	8	yes	—
726	C₂³×C₄	—	2	8	no	—
727	C₂³×C₄	—	2	16	no	—
728	C₂³×C₄	—	4	4	no	—
729	C₂³×C₄	—	4	4	no	—
730	C₂³×C₄	C₂⁴	1	2	yes	—
731	C₂³×C₄	C₂⁴	1	1	yes	characteristic
732	C₂³×C₄	C₂⁴	1	4	yes	—
733	C₂³×C₄	C₂⁴	1	1	yes	characteristic
734	C₂³×C₄	C₂⁴	1	1	yes	characteristic
735	C₂³×C₄	C₂⁴	1	4	yes	—
736	C₂³×C₄	C₂⁴	1	1	yes	characteristic
737	C₂³×C₄	C₂⁴	1	1	yes	characteristic
738	C₂³×C₄	C₂⁴	1	1	yes	characteristic
739	C₂³×C₄	C₂⁴	1	4	yes	—
740	C₂³×C₄	C₂⁴	1	16	yes	—
741	C₂³×C₄	C₂⁴	1	1	yes	characteristic
742	C₂³×C₄	C₂⁴	1	8	yes	—
743	C₂³×C₄	C₂⁴	1	1	yes	characteristic
744	C₂³×C₄	C₂⁴	1	4	yes	—
745	C₂³×C₄	C₂⁴	1	1	yes	characteristic
746	C₂³×C₄	C₂⁴	1	4	yes	—
747	C₂³×C₄	C₂⁴	1	1	yes	characteristic
748	C₂³×C₄	C₂⁴	1	2	yes	—
749	C₂³×C₄	C₂⁴	1	1	yes	characteristic
750	C₂³×C₄	C₂⁴	1	1	yes	characteristic
751	C₂³×C₄	C₂⁴	1	1	yes	characteristic
752	C₂³×C₄	C₂⁴	1	4	yes	—
753	C₂³×C₄	C₂⁴	1	2	yes	—
754	C₂³×C₄	C₂⁴	1	8	yes	—
755	C₂³×C₄	C₂⁴	1	8	yes	—
756	C₂³×C₄	C₂⁴	1	1	yes	characteristic
757	C₂³×C₄	C₂⁴	1	4	yes	—
758	C₂³×C₄	C₂⁴	1	8	yes	—
759	C₂³×C₄	C₂⁴	1	8	yes	—
760	C₂³×C₄	C₂⁴	1	1	yes	characteristic
761	C₂³×C₄	C₂⁴	1	1	yes	characteristic
762	C₂³×C₄	C₂⁴	1	1	yes	characteristic
763	C₂³×C₄	C₂⁴	1	8	yes	—
764	C₂³×C₄	C₂⁴	1	8	yes	—
765	C₂³×C₄	C₂⁴	1	1	yes	characteristic
766	C₄⋊Q₈	C₂⁴	1	16	yes	—
767	C₄⋊Q₈	C₂⁴	1	16	yes	—
768	C₄⋊Q₈	C₂⁴	1	16	yes	—
769	C₄⋊Q₈	C₂⁴	1	16	yes	—
770	C₄⋊Q₈	C₂⁴	1	16	yes	—
771	C₄⋊Q₈	C₂⁴	1	16	yes	—
772	C₄⋊Q₈	C₂⁴	1	16	yes	—
773	C₄⋊Q₈	C₂⁴	1	16	yes	—
774	C₄⋊Q₈	C₂⁴	1	8	yes	—
775	C₄⋊Q₈	C₂⁴	1	8	yes	—
776	C₄⋊Q₈	C₂⁴	1	8	yes	—
777	C₄⋊Q₈	C₂⁴	1	32	yes	—
778	C₄⋊Q₈	C₂⁴	1	32	yes	—
779	C₄⋊Q₈	C₂⁴	1	64	yes	—
780	C₄⋊Q₈	C₂⁴	1	64	yes	—
781	C₄⋊Q₈	C₂⁴	1	32	yes	—
782	C₄⋊Q₈	C₂⁴	1	64	yes	—
783	C₄⋊Q₈	C₂⁴	1	32	yes	—
784	C₄⋊Q₈	C₂⁴	1	64	yes	—
785	C₄⋊Q₈	C₂⁴	1	64	yes	—
786	C₄⋊Q₈	C₂⁴	1	64	yes	—
787	#127	C₂⁴	1	8	yes	—
788	#126	C₂⁴	1	32	yes	—
789	#126	C₂⁴	1	32	yes	—
790	#126	C₂⁴	1	32	yes	—
791	#126	C₂⁴	1	32	yes	—
792	#126	C₂⁴	1	32	yes	—
793	#126	C₂⁴	1	32	yes	—
794	#126	C₂⁴	1	64	yes	—
795	#126	C₂⁴	1	64	yes	—
796	#126	C₂⁴	1	64	yes	—
797	#126	C₂⁴	1	64	yes	—
798	#126	C₂⁴	1	64	yes	—
799	#126	C₂⁴	1	64	yes	—
800	#126	C₂⁴	1	64	yes	—
801	#126	C₂⁴	1	64	yes	—
802	#126	C₂⁴	1	64	yes	—
803	#126	C₂⁴	1	64	yes	—
804	#126	C₂⁴	1	64	yes	—
805	#126	C₂⁴	1	64	yes	—
806	#126	C₂⁴	1	64	yes	—
807	#125	C₂⁴	1	16	yes	—
808	#125	C₂⁴	1	16	yes	—
809	#125	C₂⁴	1	16	yes	—
810	#125	C₂⁴	1	16	yes	—
811	#125	C₂⁴	1	32	yes	—
812	#125	C₂⁴	1	32	yes	—
813	#125	C₂⁴	1	32	yes	—
814	#125	C₂⁴	1	32	yes	—
815	#125	C₂⁴	1	16	yes	—
816	#125	C₂⁴	1	16	yes	—
817	#125	C₂⁴	1	16	yes	—
818	#125	C₂⁴	1	64	yes	—
819	#125	C₂⁴	1	64	yes	—
820	#125	C₂⁴	1	64	yes	—
821	#125	C₂⁴	1	64	yes	—
822	#125	C₂⁴	1	32	yes	—
823	#125	C₂⁴	1	64	yes	—
824	#125	C₂⁴	1	64	yes	—
825	#125	C₂⁴	1	32	yes	—
826	#125	C₂⁴	1	32	yes	—
827	#125	C₂⁴	1	64	yes	—
828	#125	C₂⁴	1	64	yes	—
829	#125	C₂⁴	1	64	yes	—
830	#125	C₂⁴	1	64	yes	—
831	#125	C₂⁴	1	64	yes	—
832	#125	C₂⁴	1	64	yes	—
833	#125	C₂⁴	1	64	yes	—
834	#124	C₂⁴	1	16	yes	—
835	#124	C₂⁴	1	16	yes	—
836	#124	C₂⁴	1	16	yes	—
837	#124	C₂⁴	1	16	yes	—
838	#124	C₂⁴	1	16	yes	—
839	#124	C₂⁴	1	16	yes	—
840	#124	C₂⁴	1	16	yes	—
841	#124	C₂⁴	1	64	yes	—
842	#124	C₂⁴	1	32	yes	—
843	#124	C₂⁴	1	64	yes	—
844	#124	C₂⁴	1	64	yes	—
845	#124	C₂⁴	1	64	yes	—
846	#124	C₂⁴	1	64	yes	—
847	#124	C₂⁴	1	64	yes	—
848	#123	C₂⁴	1	32	yes	—
849	#123	C₂⁴	1	32	yes	—
850	#123	C₂⁴	1	32	yes	—
851	#123	C₂⁴	1	32	yes	—
852	#123	C₂⁴	1	32	yes	—
853	#123	C₂⁴	1	32	yes	—
854	#123	C₂⁴	1	32	yes	—
855	#123	C₂⁴	1	64	yes	—
856	#123	C₂⁴	1	64	yes	—
857	#123	C₂⁴	1	64	yes	—
858	#123	C₂⁴	1	64	yes	—
859	#123	C₂⁴	1	64	yes	—
860	#123	C₂⁴	1	64	yes	—
861	#123	C₂⁴	1	64	yes	—
862	#123	C₂⁴	1	64	yes	—
863	#123	C₂⁴	1	64	yes	—
864	#123	C₂⁴	1	64	yes	—
865	#123	C₂⁴	1	64	yes	—
866	#123	C₂⁴	1	64	yes	—
867	#123	C₂⁴	1	64	yes	—
868	#123	C₂⁴	1	64	yes	—
869	C₂²⋊Q₈	C₂⁴	1	16	yes	—
870	C₂²⋊Q₈	C₂⁴	1	16	yes	—
871	C₂²⋊Q₈	C₂⁴	1	16	yes	—
872	C₂²⋊Q₈	C₂⁴	1	16	yes	—
873	C₂²⋊Q₈	C₂⁴	1	32	yes	—
874	C₂²⋊Q₈	C₂⁴	1	32	yes	—
875	C₂²⋊Q₈	C₂⁴	1	32	yes	—
876	C₂²⋊Q₈	C₂⁴	1	32	yes	—
877	C₂²⋊Q₈	C₂⁴	1	32	yes	—
878	C₂²⋊Q₈	C₂⁴	1	32	yes	—
879	C₂²⋊Q₈	C₂⁴	1	32	yes	—
880	C₂²⋊Q₈	C₂⁴	1	32	yes	—
881	C₂²⋊Q₈	C₂⁴	1	16	yes	—
882	C₂²⋊Q₈	C₂⁴	1	16	yes	—
883	C₂²⋊Q₈	C₂⁴	1	16	yes	—
884	C₂²⋊Q₈	C₂⁴	1	16	yes	—
885	C₂²⋊Q₈	C₂⁴	1	16	yes	—
886	C₂²⋊Q₈	C₂⁴	1	16	yes	—
887	C₂²⋊Q₈	C₂⁴	1	32	yes	—
888	C₂²⋊Q₈	C₂⁴	1	32	yes	—
889	C₂²⋊Q₈	C₂⁴	1	64	yes	—
890	C₂²⋊Q₈	C₂⁴	1	32	yes	—
891	C₂²⋊Q₈	C₂⁴	1	64	yes	—
892	C₂²⋊Q₈	C₂⁴	1	64	yes	—
893	C₂²⋊Q₈	C₂⁴	1	64	yes	—
894	C₂²⋊Q₈	C₂⁴	1	64	yes	—
895	C₂²⋊Q₈	C₂⁴	1	64	yes	—
896	C₂²⋊Q₈	C₂⁴	1	64	yes	—
897	C₂²⋊Q₈	C₂⁴	1	64	yes	—
898	C₂²⋊Q₈	C₂⁴	1	64	yes	—
899	C₂²⋊Q₈	C₂⁴	1	64	yes	—
900	C₂²⋊Q₈	C₂⁴	1	32	yes	—
901	C₂²⋊Q₈	C₂⁴	1	64	yes	—
902	C₂²⋊Q₈	C₂⁴	1	64	yes	—
903	C₂²⋊Q₈	C₂⁴	1	64	yes	—
904	C₂²⋊Q₈	C₂⁴	1	32	yes	—
905	C₂²⋊Q₈	C₂⁴	1	64	yes	—
906	C₂²⋊Q₈	C₂⁴	1	64	yes	—
907	C₂²⋊Q₈	C₂⁴	1	64	yes	—
908	C₂²⋊Q₈	C₂⁴	1	64	yes	—
909	C₂²⋊Q₈	C₂⁴	1	64	yes	—
910	C₂²⋊Q₈	C₂⁴	1	64	yes	—
911	C₂²⋊Q₈	C₂⁴	1	64	yes	—
912	C₂²⋊Q₈	C₂⁴	1	64	yes	—
913	#121	C₂⁴	1	16	yes	—
914	#121	C₂⁴	1	16	yes	—
915	#121	C₂⁴	1	16	yes	—
916	#121	C₂⁴	1	16	yes	—
917	#121	C₂⁴	1	16	yes	—
918	#121	C₂⁴	1	16	yes	—
919	#121	C₂⁴	1	16	yes	—
920	#121	C₂⁴	1	16	yes	—
921	#121	C₂⁴	1	16	yes	—
922	#121	C₂⁴	1	16	yes	—
923	#121	C₂⁴	1	32	yes	—
924	#121	C₂⁴	1	32	yes	—
925	#121	C₂⁴	1	64	yes	—
926	#121	C₂⁴	1	64	yes	—
927	#121	C₂⁴	1	64	yes	—
928	#121	C₂⁴	1	32	yes	—
929	#121	C₂⁴	1	64	yes	—
930	#121	C₂⁴	1	64	yes	—
931	#121	C₂⁴	1	64	yes	—
932	#120	C₂⁴	1	32	yes	—
933	#120	C₂⁴	1	64	yes	—
934	C₄×Q₈	C₂⁴	1	16	yes	—
935	C₄×Q₈	C₂⁴	1	16	yes	—
936	C₄×Q₈	C₂⁴	1	16	yes	—
937	C₄×Q₈	C₂⁴	1	16	yes	—
938	C₄×Q₈	C₂⁴	1	32	yes	—
939	C₄×Q₈	C₂⁴	1	32	yes	—
940	C₄×Q₈	C₂⁴	1	32	yes	—
941	C₄×Q₈	C₂⁴	1	32	yes	—
942	C₄×Q₈	C₂⁴	1	64	yes	—
943	C₄×Q₈	C₂⁴	1	32	yes	—
944	C₄×Q₈	C₂⁴	1	32	yes	—
945	C₄×Q₈	C₂⁴	1	32	yes	—
946	C₄×Q₈	C₂⁴	1	32	yes	—
947	C₄×Q₈	C₂⁴	1	32	yes	—
948	C₄×Q₈	C₂⁴	1	32	yes	—
949	C₄×Q₈	C₂⁴	1	64	yes	—
950	C₄×Q₈	C₂⁴	1	16	yes	—
951	C₄×Q₈	C₂⁴	1	16	yes	—
952	C₄×Q₈	C₂⁴	1	32	yes	—
953	C₄×Q₈	C₂⁴	1	32	yes	—
954	C₄×Q₈	C₂⁴	1	16	yes	—
955	C₄×Q₈	C₂⁴	1	16	yes	—
956	C₄×Q₈	C₂⁴	1	16	yes	—
957	C₄×Q₈	C₂⁴	1	16	yes	—
958	C₄×Q₈	C₂⁴	1	64	yes	—
959	C₄×Q₈	C₂⁴	1	32	yes	—
960	C₄×Q₈	C₂⁴	1	64	yes	—
961	C₄×D₄	C₂⁴	1	16	yes	—
962	C₄×D₄	C₂⁴	1	32	yes	—
963	C₄×D₄	C₂⁴	1	32	yes	—
964	C₄×D₄	C₂⁴	1	16	yes	—
965	C₄×D₄	C₂⁴	1	32	yes	—
966	C₄×D₄	C₂⁴	1	16	yes	—
967	C₄×D₄	C₂⁴	1	16	yes	—
968	C₄×D₄	C₂⁴	1	32	yes	—
969	C₄×D₄	C₂⁴	1	32	yes	—
970	C₄×D₄	C₂⁴	1	32	yes	—
971	C₄×D₄	C₂⁴	1	16	yes	—
972	C₄×D₄	C₂⁴	1	16	yes	—
973	C₄×D₄	C₂⁴	1	64	yes	—
974	C₄×D₄	C₂⁴	1	64	yes	—
975	C₄×D₄	C₂⁴	1	32	yes	—
976	C₄×D₄	C₂⁴	1	32	yes	—
977	C₄×D₄	C₂⁴	1	32	yes	—
978	C₄×D₄	C₂⁴	1	32	yes	—
979	C₄×D₄	C₂⁴	1	64	yes	—
980	C₄×D₄	C₂⁴	1	64	yes	—
981	C₄×D₄	C₂⁴	1	32	yes	—
982	C₄×D₄	C₂⁴	1	32	yes	—
983	C₄×D₄	C₂⁴	1	16	yes	—
984	C₄×D₄	C₂⁴	1	16	yes	—
985	C₄×D₄	C₂⁴	1	16	yes	—
986	C₄×D₄	C₂⁴	1	16	yes	—
987	C₄×D₄	C₂⁴	1	64	yes	—
988	C₄×D₄	C₂⁴	1	64	yes	—
989	C₄×D₄	C₂⁴	1	64	yes	—
990	C₄×D₄	C₂⁴	1	32	yes	—
991	C₄×D₄	C₂⁴	1	64	yes	—
992	#117	C₂⁴	1	32	yes	—
993	#117	C₂⁴	1	16	yes	—
994	#117	C₂⁴	1	32	yes	—
995	#117	C₂⁴	1	32	yes	—
996	#117	C₂⁴	1	32	yes	—
997	#117	C₂⁴	1	32	yes	—
998	#117	C₂⁴	1	32	yes	—
999	#117	C₂⁴	1	64	yes	—
1000	#117	C₂⁴	1	32	yes	—
1001	#117	C₂⁴	1	32	yes	—
1002	#117	C₂⁴	1	64	yes	—
1003	#117	C₂⁴	1	32	yes	—
1004	#117	C₂⁴	1	32	yes	—
1005	#117	C₂⁴	1	32	yes	—
1006	#117	C₂⁴	1	64	yes	—
1007	#117	C₂⁴	1	16	yes	—
1008	#117	C₂⁴	1	16	yes	—
1009	#117	C₂⁴	1	32	yes	—
1010	#117	C₂⁴	1	32	yes	—
1011	#117	C₂⁴	1	64	yes	—
1012	#117	C₂⁴	1	32	yes	—
1013	#117	C₂⁴	1	64	yes	—
1014	#117	C₂⁴	1	64	yes	—
1015	#117	C₂⁴	1	64	yes	—
1016	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1017	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1018	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1019	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1020	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1021	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1022	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1023	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1024	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1025	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1026	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1027	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1028	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1029	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1030	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1031	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1032	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1033	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1034	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1035	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1036	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1037	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1038	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1039	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1040	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1041	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1042	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1043	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1044	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1045	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1046	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1047	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1048	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1049	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1050	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1051	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1052	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1053	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1054	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1055	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1056	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1057	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1058	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1059	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1060	C₂×C₄⋊C₄	C₂⁴	1	16	yes	—
1061	C₂×C₄⋊C₄	C₂⁴	1	32	yes	—
1062	C₂×C₄⋊C₄	C₂⁴	1	64	yes	—
1063	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1064	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1065	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1066	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1067	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1068	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
1069	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1070	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1071	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1072	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1073	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1074	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1075	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1076	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1077	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1078	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
1079	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
1080	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1081	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1082	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1083	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1084	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1085	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1086	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1087	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1088	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1089	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1090	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1091	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1092	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1093	C₂×C₂²⋊C₄	C₂⁴	1	32	yes	—
1094	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1095	C₂×C₂²⋊C₄	C₂⁴	1	64	yes	—
1096	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1097	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1098	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1099	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1100	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1101	C₂×C₂²⋊C₄	C₂⁴	1	16	yes	—
1102	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1103	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1104	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1105	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1106	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1107	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1108	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1109	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1110	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1111	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1112	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1113	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
1114	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1115	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
1116	C₂×C₄²	C₂⁴	1	8	yes	—
1117	C₂×C₄²	C₂⁴	1	4	yes	—
1118	C₂×C₄²	C₂⁴	1	8	yes	—
1119	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1120	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1121	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1122	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1123	C₂×C₄²	C₂⁴	1	8	yes	—
1124	C₂×C₄²	C₂⁴	1	4	yes	—
1125	C₂×C₄²	C₂⁴	1	4	yes	—
1126	C₂×C₄²	C₂⁴	1	16	yes	—
1127	C₂×C₄²	C₂⁴	1	8	yes	—
1128	C₂×C₄²	C₂⁴	1	8	yes	—
1129	C₂×C₄²	C₂⁴	1	32	yes	—
1130	C₂×C₄²	C₂⁴	1	64	yes	—
1131	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1132	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1133	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1134	C₂×C₄²	C₂⁴	1	8	yes	—
1135	C₂×C₄²	C₂⁴	1	8	yes	—
1136	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1137	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1138	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1139	C₂×C₄²	C₂⁴	1	8	yes	—
1140	C₂×C₄²	C₂⁴	1	8	yes	—
1141	C₂×C₄²	C₂⁴	1	32	yes	—
1142	C₂×C₄²	C₂⁴	1	64	yes	—
1143	C₂×C₄²	C₂⁴	1	8	yes	—
1144	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1145	C₂×C₄²	C₂⁴	1	8	yes	—
1146	C₂×C₄²	C₂⁴	1	8	yes	—
1147	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1148	C₂×C₄²	C₂⁴	1	8	yes	—
1149	C₂×C₄²	C₂⁴	1	8	yes	—
1150	C₂×C₄²	C₂⁴	1	8	yes	—
1151	C₂×C₄²	C₂⁴	1	8	yes	—
1152	C₂×C₄²	C₂⁴	1	8	yes	—
1153	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1154	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1155	C₂×C₄²	C₂⁴	1	4	yes	—
1156	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1157	C₂×C₄²	C₂⁴	1	4	yes	—
1158	C₂×C₄²	C₂⁴	1	8	yes	—
1159	C₂×C₄²	C₂⁴	1	1	yes	characteristic
1160	C₂⁴	—	2	4	no	—
1161	C₂⁴	—	2	4	no	—
1162	C₂⁴	—	2	8	no	—
1163	C₂⁴	—	4	2	no	—
1164	C₂⁴	—	4	4	no	—
1165	C₂⁴	—	4	4	no	—
1166	C₂⁴	C₂⁵	1	1	yes	characteristic
1167	C₂⁴	C₂⁵	1	4	yes	—
1168	C₂⁴	C₂⁵	1	4	yes	—
1169	C₂⁴	C₂⁵	1	4	yes	—
1170	C₂⁴	C₂⁵	1	1	yes	characteristic
1171	C₂⁴	C₂⁵	1	1	yes	characteristic
1172	C₂⁴	C₂⁵	1	8	yes	—
1173	#41	—	2	64	no	—
1174	#41	—	4	32	no	—
1175	#41	—	4	32	no	—
1176	#41	—	4	128	no	—
1177	#41	—	4	64	no	—
1178	C₂×Q₈	—	2	8	no	—
1179	C₂×Q₈	—	2	8	no	—
1180	C₂×Q₈	—	2	16	no	—
1181	C₂×Q₈	—	4	4	no	—
1182	C₂×Q₈	—	4	8	no	—
1183	C₂×Q₈	—	4	8	no	—
1184	C₂×Q₈	—	4	16	no	—
1185	C₂×Q₈	—	4	32	no	—
1186	C₂×Q₈	—	4	8	no	—
1187	C₂×Q₈	—	4	4	no	—
1188	C₂×Q₈	—	4	4	no	—
1189	C₂×Q₈	—	4	16	no	—
1190	C₂×Q₈	—	4	16	no	—
1191	C₂×Q₈	—	4	32	no	—
1192	C₂×Q₈	—	4	64	no	—
1193	C₂×Q₈	C₂⁵	1	8	yes	—
1194	C₂×Q₈	C₂⁵	1	8	yes	—
1195	C₂×Q₈	C₂⁵	1	16	yes	—
1196	C₂×Q₈	C₂⁵	1	8	yes	—
1197	C₂×Q₈	C₂⁵	1	16	yes	—
1198	C₂×Q₈	C₂⁵	1	16	yes	—
1199	C₂×Q₈	C₂⁵	1	16	yes	—
1200	C₂×Q₈	C₂⁵	1	32	yes	—
1201	C₂×Q₈	C₂⁵	1	8	yes	—
1202	C₂×Q₈	C₂⁵	1	8	yes	—
1203	C₂×Q₈	C₂⁵	1	32	yes	—
1204	C₂×D₄	—	2	16	no	—
1205	C₂×D₄	—	2	16	no	—
1206	C₂×D₄	—	2	16	no	—
1207	C₂×D₄	—	2	8	no	—
1208	C₂×D₄	—	2	8	no	—
1209	C₂×D₄	—	4	16	no	—
1210	C₂×D₄	—	4	4	no	—
1211	C₂×D₄	—	4	8	no	—
1212	C₂×D₄	—	4	4	no	—
1213	C₂×D₄	—	4	4	no	—
1214	C₂×D₄	—	4	8	no	—
1215	C₂×D₄	—	4	16	no	—
1216	C₂×D₄	—	4	16	no	—
1217	C₂×D₄	—	4	32	no	—
1218	C₂×D₄	C₂⁵	1	16	yes	—
1219	C₂×D₄	C₂⁵	1	8	yes	—
1220	C₂×D₄	C₂⁵	1	16	yes	—
1221	C₂×D₄	C₂⁵	1	16	yes	—
1222	C₂×D₄	C₂⁵	1	8	yes	—
1223	C₂×D₄	C₂⁵	1	16	yes	—
1224	C₂×D₄	C₂⁵	1	32	yes	—
1225	C₂×D₄	C₂⁵	1	32	yes	—
1226	C₂×D₄	C₂⁵	1	8	yes	—
1227	C₂×D₄	C₂⁵	1	16	yes	—
1228	C₂×D₄	C₂⁵	1	8	yes	—
1229	C₂×D₄	C₂⁵	1	8	yes	—
1230	C₂²×C₄	—	2	8	no	—
1231	C₂²×C₄	—	2	4	no	—
1232	C₂²×C₄	—	2	4	no	—
1233	C₂²×C₄	—	2	4	no	—
1234	C₂²×C₄	—	2	16	no	—
1235	C₂²×C₄	—	2	4	no	—
1236	C₂²×C₄	—	2	4	no	—
1237	C₂²×C₄	—	2	16	no	—
1238	C₂²×C₄	—	2	4	no	—
1239	C₂²×C₄	—	2	16	no	—
1240	C₂²×C₄	—	2	4	no	—
1241	C₂²×C₄	—	2	32	no	—
1242	C₂²×C₄	—	2	64	no	—
1243	C₂²×C₄	—	2	16	no	—
1244	C₂²×C₄	—	2	4	no	—
1245	C₂²×C₄	—	2	4	no	—
1246	C₂²×C₄	—	2	4	no	—
1247	C₂²×C₄	—	2	16	no	—
1248	C₂²×C₄	—	4	16	no	—
1249	C₂²×C₄	—	4	2	no	—
1250	C₂²×C₄	—	4	2	no	—
1251	C₂²×C₄	—	4	2	no	—
1252	C₂²×C₄	—	4	2	no	—
1253	C₂²×C₄	—	4	2	no	—
1254	C₂²×C₄	—	4	2	no	—
1255	C₂²×C₄	—	4	2	no	—
1256	C₂²×C₄	—	4	16	no	—
1257	C₂²×C₄	—	4	4	no	—
1258	C₂²×C₄	—	4	8	no	—
1259	C₂²×C₄	—	4	16	no	—
1260	C₂²×C₄	—	4	4	no	—
1261	C₂²×C₄	—	4	8	no	—
1262	C₂²×C₄	—	4	16	no	—
1263	C₂²×C₄	—	4	16	no	—
1264	C₂²×C₄	—	4	16	no	—
1265	C₂²×C₄	2₋¹⁺⁴	1	8	yes	—
1266	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁵	1	4	yes	—
1268	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁵	1	4	yes	—
1270	C₂²×C₄	C₂⁵	1	16	yes	—
1271	C₂²×C₄	C₂⁵	1	4	yes	—
1272	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1273	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1274	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1275	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1276	C₂²×C₄	C₂⁵	1	4	yes	—
1277	C₂²×C₄	C₂⁵	1	4	yes	—
1278	C₂²×C₄	C₂⁵	1	8	yes	—
1279	C₂²×C₄	C₂⁵	1	4	yes	—
1280	C₂²×C₄	C₂⁵	1	8	yes	—
1281	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1282	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1284	C₂²×C₄	C₂⁵	1	4	yes	—
1285	C₂²×C₄	C₂⁵	1	4	yes	—
1286	C₂²×C₄	C₂⁵	1	4	yes	—
1287	C₂²×C₄	C₂⁵	1	4	yes	—
1288	C₂²×C₄	C₂⁵	1	4	yes	—
1289	C₂²×C₄	C₂⁵	1	4	yes	—
1290	C₂²×C₄	C₂⁵	1	4	yes	—
1291	C₂²×C₄	C₂⁵	1	16	yes	—
1292	C₂²×C₄	C₂⁵	1	4	yes	—
1293	C₂²×C₄	C₂⁵	1	4	yes	—
1294	C₂²×C₄	C₂⁵	1	4	yes	—
1295	C₂²×C₄	C₂⁵	1	16	yes	—
1296	C₂²×C₄	C₂⁵	1	16	yes	—
1297	C₂²×C₄	C₂⁵	1	8	yes	—
1298	C₂²×C₄	C₂⁵	1	16	yes	—
1299	C₂²×C₄	C₂⁵	1	4	yes	—
1300	C₂²×C₄	C₂⁵	1	4	yes	—
1301	C₂²×C₄	C₂⁵	1	4	yes	—
1302	C₂²×C₄	C₂⁵	1	4	yes	—
1303	C₂²×C₄	C₂⁵	1	4	yes	—
1304	C₂²×C₄	C₂⁵	1	4	yes	—
1305	C₂²×C₄	C₂⁵	1	4	yes	—
1306	C₂²×C₄	C₂⁵	1	8	yes	—
1307	C₂²×C₄	C₂⁵	1	16	yes	—
1308	C₂²×C₄	C₂⁵	1	8	yes	—
1309	C₂²×C₄	C₂⁵	1	32	yes	—
1310	C₂²×C₄	C₂⁵	1	32	yes	—
1311	C₂²×C₄	C₂⁵	1	16	yes	—
1312	C₂²×C₄	C₂⁵	1	32	yes	—
1313	C₂²×C₄	C₂⁵	1	32	yes	—
1314	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1315	C₂²×C₄	C₂⁵	1	4	yes	—
1316	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1317	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1318	C₄⋊C₄	C₂⁵	1	8	yes	—
1319	C₄⋊C₄	C₂⁵	1	16	yes	—
1320	C₄⋊C₄	C₂⁵	1	16	yes	—
1321	C₄⋊C₄	C₂⁵	1	16	yes	—
1322	C₄⋊C₄	C₂⁵	1	8	yes	—
1323	C₄⋊C₄	C₂⁵	1	8	yes	—
1324	C₄⋊C₄	C₂⁵	1	16	yes	—
1325	C₄⋊C₄	C₂⁵	1	32	yes	—
1326	C₄⋊C₄	C₂⁵	1	8	yes	—
1327	C₄⋊C₄	C₂⁵	1	16	yes	—
1328	C₄⋊C₄	C₂⁵	1	16	yes	—
1329	C₄⋊C₄	C₂⁵	1	16	yes	—
1330	C₄⋊C₄	C₂⁵	1	16	yes	—
1331	C₄⋊C₄	C₂⁵	1	16	yes	—
1332	C₄⋊C₄	C₂⁵	1	16	yes	—
1333	C₄⋊C₄	C₂⁵	1	32	yes	—
1334	C₄⋊C₄	C₂⁵	1	32	yes	—
1335	C₄⋊C₄	C₂⁵	1	16	yes	—
1336	C₄⋊C₄	C₂⁵	1	8	yes	—
1337	C₄⋊C₄	C₂⁵	1	16	yes	—
1338	C₄⋊C₄	C₂⁵	1	8	yes	—
1339	C₄⋊C₄	C₂⁵	1	32	yes	—
1340	C₄⋊C₄	C₂⁵	1	32	yes	—
1341	C₄⋊C₄	C₂⁵	1	32	yes	—
1342	C₄⋊C₄	C₂⁵	1	32	yes	—
1343	C₄⋊C₄	C₂⁵	1	32	yes	—
1344	C₄⋊C₄	C₂⁵	1	16	yes	—
1345	C₄⋊C₄	C₂⁵	1	16	yes	—
1346	C₄⋊C₄	C₂⁵	1	16	yes	—
1347	C₄⋊C₄	C₂⁵	1	16	yes	—
1348	C₄⋊C₄	C₂⁵	1	32	yes	—
1349	C₄⋊C₄	C₂⁵	1	16	yes	—
1350	C₄⋊C₄	C₂⁵	1	8	yes	—
1351	C₄⋊C₄	C₂⁵	1	8	yes	—
1352	C₄⋊C₄	C₂⁵	1	32	yes	—
1353	C₄⋊C₄	C₂⁵	1	8	yes	—
1354	C₄⋊C₄	C₂⁵	1	8	yes	—
1355	C₄⋊C₄	C₂⁵	1	16	yes	—
1356	C₄⋊C₄	C₂⁵	1	16	yes	—
1357	C₄⋊C₄	C₂⁵	1	32	yes	—
1358	C₄⋊C₄	C₂⁵	1	32	yes	—
1359	C₄⋊C₄	C₂⁵	1	16	yes	—
1360	C₄⋊C₄	C₂⁵	1	32	yes	—
1361	C₄⋊C₄	C₂⁵	1	32	yes	—
1362	C₄⋊C₄	C₂⁵	1	16	yes	—
1363	C₄⋊C₄	C₂⁵	1	32	yes	—
1364	C₄⋊C₄	C₂⁵	1	16	yes	—
1365	C₄⋊C₄	C₂⁵	1	32	yes	—
1366	C₂²⋊C₄	C₂⁵	1	32	yes	—
1367	C₂²⋊C₄	C₂⁵	1	16	yes	—
1368	C₂²⋊C₄	C₂⁵	1	16	yes	—
1369	C₂²⋊C₄	C₂⁵	1	16	yes	—
1370	C₂²⋊C₄	C₂⁵	1	16	yes	—
1371	C₂²⋊C₄	C₂⁵	1	16	yes	—
1372	C₂²⋊C₄	C₂⁵	1	16	yes	—
1373	C₂²⋊C₄	C₂⁵	1	16	yes	—
1374	C₂²⋊C₄	C₂⁵	1	32	yes	—
1375	C₂²⋊C₄	C₂⁵	1	32	yes	—
1376	C₂²⋊C₄	C₂⁵	1	32	yes	—
1377	C₂²⋊C₄	C₂⁵	1	16	yes	—
1378	C₂²⋊C₄	C₂⁵	1	16	yes	—
1379	C₂²⋊C₄	C₂⁵	1	16	yes	—
1380	C₂²⋊C₄	C₂⁵	1	16	yes	—
1381	C₂²⋊C₄	C₂⁵	1	16	yes	—
1382	C₂²⋊C₄	C₂⁵	1	16	yes	—
1383	C₂²⋊C₄	C₂⁵	1	16	yes	—
1384	C₂²⋊C₄	C₂⁵	1	32	yes	—
1385	C₂²⋊C₄	C₂⁵	1	32	yes	—
1386	C₂²⋊C₄	C₂⁵	1	16	yes	—
1387	C₂²⋊C₄	C₂⁵	1	32	yes	—
1388	C₂²⋊C₄	C₂⁵	1	16	yes	—
1389	C₂²⋊C₄	C₂⁵	1	32	yes	—
1390	C₂²⋊C₄	C₂⁵	1	16	yes	—
1391	C₂²⋊C₄	C₂⁵	1	32	yes	—
1392	C₂²⋊C₄	C₂⁵	1	32	yes	—
1393	C₂²⋊C₄	C₂⁵	1	16	yes	—
1394	C₂²⋊C₄	C₂⁵	1	16	yes	—
1395	C₄²	C₂⁵	1	4	yes	—
1396	C₄²	C₂⁵	1	4	yes	—
1397	C₄²	C₂⁵	1	4	yes	—
1398	C₄²	C₂⁵	1	16	yes	—
1399	C₄²	C₂⁵	1	4	yes	—
1400	C₄²	C₂⁵	1	32	yes	—
1401	C₄²	C₂⁵	1	16	yes	—
1402	C₄²	C₂⁵	1	4	yes	—
1403	C₄²	C₂⁵	1	4	yes	—
1404	C₄²	C₂⁵	1	4	yes	—
1405	C₄²	C₂⁵	1	4	yes	—
1406	C₄²	C₂⁵	1	4	yes	—
1407	C₄²	C₂⁵	1	4	yes	—
1408	C₄²	C₂⁵	1	4	yes	—
1409	C₄²	C₂⁵	1	4	yes	—
1410	C₄²	C₂⁵	1	4	yes	—
1411	C₄²	C₂⁵	1	4	yes	—
1412	C₄²	C₂⁵	1	4	yes	—
1413	C₄²	C₂⁵	1	4	yes	—
1414	C₄²	C₂⁵	1	32	yes	—
1415	C₄²	C₂⁵	1	16	yes	—
1416	C₄²	C₂⁵	1	32	yes	—
1417	C₄²	C₂⁵	1	16	yes	—
1418	C₄²	C₂⁵	1	16	yes	—
1419	C₄²	C₂⁵	1	32	yes	—
1420	C₄²	C₂⁵	1	32	yes	—
1421	C₄²	C₂⁵	1	32	yes	—
1422	C₂³	—	2	2	no	—
1423	C₂³	—	2	2	no	—
1424	C₂³	—	2	2	no	—
1425	C₂³	—	2	2	no	—
1426	C₂³	—	2	8	no	—
1427	C₂³	—	2	2	no	—
1428	C₂³	—	2	8	no	—
1429	C₂³	—	2	8	no	—
1430	C₂³	—	2	8	no	—
1431	C₂³	—	2	2	no	—
1432	C₂³	—	2	8	no	—
1433	C₂³	—	2	8	no	—
1434	C₂³	—	2	8	no	—
1435	C₂³	—	2	8	no	—
1436	C₂³	—	2	2	no	—
1437	C₂³	—	2	16	no	—
1438	C₂³	—	4	4	no	—
1439	C₂³	—	4	8	no	—
1440	C₂³	—	4	8	no	—
1441	C₂³	—	4	16	no	—
1442	C₂³	—	8	16	no	—
1443	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
1444	C₂³	#585	1	4	yes	—
1445	C₂³	C₂⁶	1	2	yes	—
1446	C₂³	C₂⁶	1	8	yes	—
1447	C₂³	C₂⁶	1	8	yes	—
1448	C₂³	C₂⁶	1	2	yes	—
1449	C₂³	C₂⁶	1	2	yes	—
1450	C₂³	C₂⁶	1	1	yes	characteristic
1451	Q₈	—	2	16	no	—
1452	Q₈	—	2	16	no	—
1453	Q₈	—	2	32	no	—
1454	Q₈	—	4	8	no	—
1455	Q₈	—	4	16	no	—
1456	Q₈	—	4	16	no	—
1457	Q₈	—	4	32	no	—
1458	Q₈	—	4	16	no	—
1459	Q₈	—	4	8	no	—
1460	Q₈	—	4	8	no	—
1461	Q₈	—	4	32	no	—
1462	D₄	—	2	32	no	—
1463	D₄	—	2	32	no	—
1464	D₄	—	2	32	no	—
1465	D₄	—	2	16	no	—
1466	D₄	—	2	16	no	—
1467	D₄	—	4	8	no	—
1468	D₄	—	4	16	no	—
1469	D₄	—	4	8	no	—
1470	D₄	—	4	8	no	—
1471	D₄	—	4	16	no	—
1472	D₄	—	4	32	no	—
1473	D₄	—	4	32	no	—
1474	C₂×C₄	—	2	8	no	—
1475	C₂×C₄	—	2	16	no	—
1476	C₂×C₄	—	2	2	no	—
1477	C₂×C₄	—	2	8	no	—
1478	C₂×C₄	—	2	2	no	—
1479	C₂×C₄	—	2	8	no	—
1480	C₂×C₄	—	2	2	no	—
1481	C₂×C₄	—	2	2	no	—
1482	C₂×C₄	—	2	2	no	—
1483	C₂×C₄	—	2	2	no	—
1484	C₂×C₄	—	2	16	no	—
1485	C₂×C₄	—	2	8	no	—
1486	C₂×C₄	—	2	8	no	—
1487	C₂×C₄	—	2	2	no	—
1488	C₂×C₄	—	2	2	no	—
1489	C₂×C₄	—	2	2	no	—
1490	C₂×C₄	—	2	8	no	—
1491	C₂×C₄	—	2	32	no	—
1492	C₂×C₄	—	2	8	no	—
1493	C₂×C₄	—	2	8	no	—
1494	C₂×C₄	—	2	16	no	—
1495	C₂×C₄	—	2	8	no	—
1496	C₂×C₄	—	2	8	no	—
1497	C₂×C₄	—	2	8	no	—
1498	C₂×C₄	—	2	32	no	—
1499	C₂×C₄	—	2	8	no	—
1500	C₂×C₄	—	2	8	no	—
1501	C₂×C₄	—	2	32	no	—
1502	C₂×C₄	—	2	32	no	—
1503	C₂×C₄	—	2	8	no	—
1504	C₂×C₄	—	2	8	no	—
1505	C₂×C₄	—	2	8	no	—
1506	C₂×C₄	—	2	32	no	—
1507	C₂×C₄	—	4	4	no	—
1508	C₂×C₄	—	4	4	no	—
1509	C₂×C₄	—	4	4	no	—
1510	C₂×C₄	—	4	4	no	—
1511	C₂×C₄	—	4	4	no	—
1512	C₂×C₄	—	4	4	no	—
1513	C₂×C₄	—	4	4	no	—
1514	C₂×C₄	—	4	8	no	—
1515	C₂×C₄	—	4	16	no	—
1516	C₂×C₄	—	4	32	no	—
1517	C₂×C₄	—	4	8	no	—
1518	C₂×C₄	—	4	16	no	—
1519	C₂×C₄	—	4	32	no	—
1520	C₂×C₄	—	4	32	no	—
1521	C₂×C₄	—	4	32	no	—
1522	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
1523	C₂×C₄	C₂×2₋¹⁺⁴	1	4	yes	—
1524	C₂×C₄	C₂×2₋¹⁺⁴	1	16	yes	—
1525	C₂×C₄	#585	1	4	yes	—
1526	C₂×C₄	C₂⁶	1	2	yes	—
1527	C₂×C₄	C₂⁶	1	2	yes	—
1528	C₂×C₄	C₂⁶	1	8	yes	—
1529	C₂×C₄	C₂⁶	1	2	yes	—
1530	C₂×C₄	C₂⁶	1	8	yes	—
1531	C₂×C₄	C₂⁶	1	2	yes	—
1532	C₂×C₄	C₂⁶	1	2	yes	—
1533	C₂×C₄	C₂⁶	1	2	yes	—
1534	C₂×C₄	C₂⁶	1	8	yes	—
1535	C₂×C₄	C₂⁶	1	8	yes	—
1536	C₂×C₄	C₂⁶	1	16	yes	—
1537	C₂×C₄	C₂⁶	1	8	yes	—
1538	C₂×C₄	C₂⁶	1	16	yes	—
1539	C₂×C₄	C₂⁶	1	2	yes	—
1540	C₂×C₄	C₂⁶	1	2	yes	—
1541	C₂×C₄	C₂⁶	1	2	yes	—
1542	C₂×C₄	C₂⁶	1	8	yes	—
1543	C₂×C₄	C₂⁶	1	2	yes	—
1544	C₂×C₄	C₂⁶	1	2	yes	—
1545	C₂×C₄	C₂⁶	1	2	yes	—
1546	C₂²	—	2	8	no	—
1547	C₂²	—	2	8	no	—
1548	C₂²	—	2	2	no	—
1549	C₂²	—	2	2	no	—
1550	C₂²	—	2	2	no	—
1551	C₂²	—	2	2	no	—
1552	C₂²	—	2	2	no	—
1553	C₂²	—	2	8	no	—
1554	C₂²	—	2	8	no	—
1555	C₂²	—	2	8	no	—
1556	C₂²	—	2	2	no	—
1557	C₂²	—	2	8	no	—
1558	C₂²	—	2	8	no	—
1559	C₂²	—	2	8	no	—
1560	C₂²	—	2	2	no	—
1561	C₂²	—	4	16	no	—
1562	C₂²	—	4	16	no	—
1563	C₂²	—	4	4	no	—
1564	C₂²	—	4	16	no	—
1565	C₂²	—	8	16	no	—
1566	C₂²	C₂²×2₋¹⁺⁴	1	4	yes	—
1567	C₂²	C₂²×2₋¹⁺⁴	1	2	yes	—
1568	C₂²	C₂×#585	1	4	yes	—
1569	C₂²	C₂×#585	1	2	yes	—
1570	C₂²	C₂×#585	1	2	yes	—
1571	C₂²	C₂⁷	1	1	yes	characteristic
1572	C₄	—	2	2	no	—
1573	C₄	—	2	2	no	—
1574	C₄	—	2	8	no	—
1575	C₄	—	2	8	no	—
1576	C₄	—	2	2	no	—
1577	C₄	—	2	2	no	—
1578	C₄	—	2	2	no	—
1579	C₄	—	2	2	no	—
1580	C₄	—	2	16	no	—
1581	C₄	—	2	8	no	—
1582	C₄	—	2	2	no	—
1583	C₄	—	2	2	no	—
1584	C₄	—	2	2	no	—
1585	C₄	—	2	8	no	—
1586	C₄	—	2	8	no	—
1587	C₄	—	2	16	no	—
1588	C₄	—	2	8	no	—
1589	C₄	C₂²×2₋¹⁺⁴	1	4	yes	—
1590	C₄	C₂²×2₋¹⁺⁴	1	4	yes	—
1591	C₄	C₂×#585	1	4	yes	—
1592	C₂	—	2	4	no	—
1593	C₂	—	2	4	no	—
1594	C₂	—	4	8	no	—
1595	C₂	—	4	2	no	—
1596	C₂	—	4	8	no	—
1597	C₂	#62752	1	4	yes	direct product factor
1598	C₂	C₂³×2₋¹⁺⁴	1	1	yes	characteristic
1599	C₂	C₂²×#585	1	1	yes	characteristic
1600	C₂	C₂²×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁷
socle	C₂³	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62752	C₂	direct (N × H)
2. C₂×#3555	C₂	semidirect
3. C₂×#3547	C₂	semidirect
4. C₂×#3544	C₂	semidirect
5. C₂×#3552	C₂	semidirect
6. C₂×#3565	C₂	semidirect
7. C₂×#3564	C₂	semidirect
8. C₂×#3563	C₂	semidirect
9. C₂×#3563	C₂	semidirect
10. C₂×#3559	C₂	semidirect
11. C₂×#3561	C₂	semidirect
12. C₂×#3538	C₂	semidirect
13. C₂×#3536	C₂	semidirect
14. C₂×#3535	C₂	semidirect
15. C₂×#3482	C₂	semidirect
16. C₂×Q₈×#41	C₂	semidirect
17. C₂×#3475	C₂	semidirect
18. C₂×#3475	C₂	semidirect
19. C₂×#3531	C₂	semidirect
20. C₂×#3455	C₂	semidirect
21. C₂×#3458	C₂	semidirect
22. C₂×#3461	C₂	semidirect
23. C₂×#3461	C₂	semidirect
24. C₂×#3444	C₂	semidirect
25. C₂²×#533	C₂	semidirect
26. C₂²×#529	C₂	semidirect
27. #3565	C₂²	semidirect
28. #3564	C₂²	semidirect
29. #3563	C₂²	semidirect
30. #3563	C₂²	semidirect
31. #3561	C₂²	semidirect
32. #3559	C₂²	semidirect
33. #3555	C₂²	semidirect
34. #3552	C₂²	semidirect
35. #3547	C₂²	semidirect
36. #3544	C₂²	semidirect
37. #3538	C₂²	semidirect
38. #3536	C₂²	semidirect
39. #3535	C₂²	semidirect
40. #3531	C₂²	semidirect
41. C₂×#564	C₂²	semidirect
42. C₂×#563	C₂²	semidirect
43. C₂×#563	C₂²	semidirect
44. C₂×#563	C₂²	semidirect
45. C₂×#563	C₂²	semidirect
46. C₂×#563	C₂²	semidirect
47. C₂×#563	C₂²	semidirect
49. C₂×#562	C₂²	semidirect
50. C₂×#562	C₂²	semidirect
51. #3482	C₂²	semidirect
52. Q₈×#41	C₂²	semidirect
53. C₂×Q₈²	C₂²	semidirect
54. C₂×#557	C₂²	semidirect
55. C₂×#557	C₂²	semidirect
56. C₂×#557	C₂²	semidirect
57. #3475	C₂²	semidirect
58. #3475	C₂²	semidirect
59. C₂×#556	C₂²	semidirect
60. C₂×#556	C₂²	semidirect
61. C₂×#556	C₂²	semidirect
62. C₂×#556	C₂²	semidirect
63. C₂×#555	C₂²	semidirect
64. C₂×#555	C₂²	semidirect
67. C₂×#554	C₂²	semidirect
68. C₂×#554	C₂²	semidirect
69. C₂×#554	C₂²	semidirect
70. C₂×#554	C₂²	semidirect
71. C₂×#553	C₂²	semidirect
72. C₂×#553	C₂²	semidirect
73. C₂×#553	C₂²	semidirect
76. C₂×#552	C₂²	semidirect
77. C₂×#552	C₂²	semidirect
78. C₂×#552	C₂²	semidirect
79. C₂×#552	C₂²	semidirect
80. C₂×#552	C₂²	semidirect
81. C₂×#552	C₂²	semidirect
82. C₂×#552	C₂²	semidirect
87. C₂×D₄×Q₈	C₂²	semidirect
88. C₂×D₄×Q₈	C₂²	semidirect
90. C₂×#548	C₂²	semidirect
92. C₂×#547	C₂²	semidirect
93. C₂×#547	C₂²	semidirect
94. C₂×#547	C₂²	semidirect
97. #3461	C₂²	semidirect
98. #3461	C₂²	semidirect
99. #3458	C₂²	semidirect
102. C₂×#544	C₂²	semidirect
103. C₂×#544	C₂²	semidirect
104. C₂×#544	C₂²	semidirect
105. C₂×#544	C₂²	semidirect
106. C₂×#544	C₂²	semidirect
107. C₂×#544	C₂²	semidirect
110. #3455	C₂²	semidirect
112. C₂×#542	C₂²	semidirect
113. C₂×#542	C₂²	semidirect
114. C₂×#542	C₂²	semidirect
115. C₂×#542	C₂²	semidirect
116. C₂×#542	C₂²	semidirect
117. C₂×#542	C₂²	semidirect
118. C₂×#541	C₂²	semidirect
119. C₂×#541	C₂²	semidirect
120. C₂×#541	C₂²	semidirect
121. C₂×#541	C₂²	semidirect
122. C₂×#541	C₂²	semidirect
123. C₂×#541	C₂²	semidirect
124. C₂×#540	C₂²	semidirect
128. C₂×#539	C₂²	semidirect
129. C₂×#539	C₂²	semidirect
130. C₂×#539	C₂²	semidirect
131. C₂×#539	C₂²	semidirect
136. C₂×#536	C₂²	semidirect
137. C₂×#536	C₂²	semidirect
138. C₂×#536	C₂²	semidirect
139. #3444	C₂²	semidirect
146. C₂×#533	C₂²	semidirect
147. C₂×#533	C₂²	semidirect
148. C₂×#533	C₂²	semidirect
149. C₂×#533	C₂²	semidirect
150. C₂×#533	C₂²	semidirect
151. C₂×#533	C₂²	semidirect
152. C₂×#533	C₂²	semidirect
153. C₂×#533	C₂²	semidirect
154. C₂×#533	C₂²	semidirect
155. C₂×#533	C₂²	semidirect
156. C₂×#533	C₂²	semidirect
158. C₂×#532	C₂²	semidirect
159. C₂×#532	C₂²	semidirect
160. C₂²×C₄⋊Q₈	C₂²	semidirect
161. C₂²×C₄⋊Q₈	C₂²	semidirect
172. C₂×#529	C₂²	semidirect
173. C₂×#529	C₂²	semidirect
174. C₂×#529	C₂²	semidirect
175. C₂×#529	C₂²	semidirect
176. C₂×#529	C₂²	semidirect
177. C₂×#529	C₂²	semidirect
178. C₂×#529	C₂²	semidirect
179. C₂×#529	C₂²	semidirect
180. C₂×#529	C₂²	semidirect
181. C₂×#529	C₂²	semidirect
182. C₂×#529	C₂²	semidirect
183. C₂×#529	C₂²	semidirect
186. C₂²×#125	C₂²	semidirect
199. C₂×C₄×#41	C₂²	semidirect
200. C₂×C₄×#41	C₂²	semidirect
201. C₂×C₄×#41	C₂²	semidirect
202. C₂×C₄×#41	C₂²	semidirect
204. C₂²×C₄×Q₈	C₂²	semidirect
205. C₂²×C₄×Q₈	C₂²	semidirect
206. C₂²×C₄×Q₈	C₂²	semidirect
228. #564	C₂³	semidirect
229. #563	C₂³	semidirect
230. #563	C₂³	semidirect
231. #563	C₂³	semidirect
232. #563	C₂³	semidirect
233. #563	C₂³	semidirect
234. #563	C₂³	semidirect
236. #562	C₂³	semidirect
237. #562	C₂³	semidirect
238. Q₈²	C₂³	semidirect
239. #557	C₂³	semidirect
240. #557	C₂³	semidirect
241. #557	C₂³	semidirect
242. #556	C₂³	semidirect
243. #556	C₂³	semidirect
244. #556	C₂³	semidirect
245. #556	C₂³	semidirect
246. #555	C₂³	semidirect
247. #555	C₂³	semidirect
250. #554	C₂³	semidirect
251. #554	C₂³	semidirect
252. #554	C₂³	semidirect
253. #554	C₂³	semidirect
254. #553	C₂³	semidirect
255. #553	C₂³	semidirect
256. #553	C₂³	semidirect
259. #552	C₂³	semidirect
260. #552	C₂³	semidirect
261. #552	C₂³	semidirect
262. #552	C₂³	semidirect
263. #552	C₂³	semidirect
264. #552	C₂³	semidirect
265. #552	C₂³	semidirect
270. D₄×Q₈	C₂³	semidirect
271. D₄×Q₈	C₂³	semidirect
273. #548	C₂³	semidirect
275. #547	C₂³	semidirect
276. #547	C₂³	semidirect
277. #547	C₂³	semidirect
282. #544	C₂³	semidirect
283. #544	C₂³	semidirect
284. #544	C₂³	semidirect
285. #544	C₂³	semidirect
286. #544	C₂³	semidirect
287. #544	C₂³	semidirect
291. #542	C₂³	semidirect
292. #542	C₂³	semidirect
293. #542	C₂³	semidirect
294. #542	C₂³	semidirect
295. #542	C₂³	semidirect
296. #542	C₂³	semidirect
297. #541	C₂³	semidirect
298. #541	C₂³	semidirect
299. #541	C₂³	semidirect
300. #541	C₂³	semidirect
301. #541	C₂³	semidirect
302. #541	C₂³	semidirect
303. #540	C₂³	semidirect
307. #539	C₂³	semidirect
308. #539	C₂³	semidirect
309. #539	C₂³	semidirect
310. #539	C₂³	semidirect
315. #536	C₂³	semidirect
316. #536	C₂³	semidirect
317. #536	C₂³	semidirect
324. #533	C₂³	semidirect
325. #533	C₂³	semidirect
326. #533	C₂³	semidirect
327. #533	C₂³	semidirect
328. #533	C₂³	semidirect
329. #533	C₂³	semidirect
330. #533	C₂³	semidirect
331. #533	C₂³	semidirect
332. #533	C₂³	semidirect
333. #533	C₂³	semidirect
335. #532	C₂³	semidirect
336. #532	C₂³	semidirect
358. C₂×C₄⋊Q₈	C₂³	semidirect
359. C₂×C₄⋊Q₈	C₂³	semidirect
371. #529	C₂³	semidirect
372. #529	C₂³	semidirect
373. #529	C₂³	semidirect
374. #529	C₂³	semidirect
375. #529	C₂³	semidirect
376. #529	C₂³	semidirect
377. #529	C₂³	semidirect
378. #529	C₂³	semidirect
379. #529	C₂³	semidirect
380. #529	C₂³	semidirect
381. #529	C₂³	semidirect
430. C₂×#125	C₂³	semidirect
543. C₄×#41	C₂³	semidirect
544. C₄×#41	C₂³	semidirect
545. C₄×#41	C₂³	semidirect
546. C₄×#41	C₂³	semidirect
575. C₂×C₄×Q₈	C₂³	semidirect
576. C₂×C₄×Q₈	C₂³	semidirect
577. C₂×C₄×Q₈	C₂³	semidirect
1597. C₂	#62752	direct (N × H)

Maximal subgroups

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

subgroup	index
#62752	2
C₂×#3555	2
C₂×#3547	2
C₂×#3544	2
C₂×#3552	2
C₂×#3565	2
C₂×#3564	2
C₂×#3563	2
C₂×#3559	2
C₂×#3561	2
C₂×#3538	2
C₂×#3536	2
C₂×#3535	2
C₂×#3482	2
C₂×Q₈×#41	2
C₂×#3475	2
C₂×#3531	2
C₂×#3455	2
C₂×#3458	2
C₂×#3461	2
C₂×#3444	2
C₂²×#533	2
C₂²×#529	2

Subgroups — C2×#62752 #10586152

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#62752 #10586152