Subgroups — #62891

Order 256.

3140 conjugacy classes of subgroups.

The subgroup lattice has 1064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3568	C₂	1	4	yes	maximal, complemented
2	#3566	C₂	1	4	yes	maximal, complemented
3	#3566	C₂	1	4	yes	maximal, complemented
4	#3565	C₂	1	2	yes	maximal, complemented
5	#3565	C₂	1	4	yes	maximal, complemented
6	#3564	C₂	1	4	yes	maximal, complemented
7	#3564	C₂	1	4	yes	maximal, complemented
8	#3561	C₂	1	2	yes	maximal, complemented
9	#3557	C₂	1	4	yes	maximal, complemented
10	#3555	C₂	1	2	yes	maximal, complemented
11	#3555	C₂	1	2	yes	maximal, complemented
12	#3555	C₂	1	4	yes	maximal, complemented
13	#3552	C₂	1	2	yes	maximal, complemented
14	#3551	C₂	1	1	yes	maximal, characteristic, complemented
15	#3550	C₂	1	1	yes	maximal, characteristic, complemented
16	#3541	C₂	1	2	yes	maximal, complemented
17	#3540	C₂	1	1	yes	maximal, characteristic, complemented
18	#3538	C₂	1	1	yes	maximal, characteristic, complemented
19	#3523	C₂	1	2	yes	maximal, complemented
20	#3521	C₂	1	2	yes	maximal, complemented
21	#3518	C₂	1	2	yes	maximal, complemented
22	#3516	C₂	1	2	yes	maximal, complemented
23	#3510	C₂	1	1	yes	maximal, characteristic, complemented
24	#3509	C₂	1	1	yes	maximal, characteristic, complemented
25	#3495	C₂	1	2	yes	maximal, complemented
26	#3461	C₂	1	2	yes	maximal, complemented
27	#3455	C₂	1	1	yes	maximal, characteristic, complemented
28	#563	C₂²	1	2	yes	—
29	#563	C₂²	1	4	yes	—
30	#563	C₂²	1	2	yes	complemented
31	#563	C₂²	1	4	yes	complemented
32	#563	C₂²	1	2	yes	complemented
33	#563	C₂²	1	2	yes	complemented
34	#563	C₂²	1	2	yes	complemented
35	#563	C₂²	1	4	yes	complemented
36	#563	C₂²	1	4	yes	complemented
37	#563	C₂²	1	4	yes	complemented
38	#563	C₂²	1	4	yes	complemented
39	#563	C₂²	1	4	yes	complemented
40	#563	C₂²	1	4	yes	complemented
41	#563	C₂²	1	4	yes	complemented
42	#562	C₂²	1	4	yes	—
43	#562	C₂²	1	4	yes	complemented
44	#562	C₂²	1	4	yes	complemented
45	H(3,𝔽₄)	C₂²	1	2	yes	—
46	#560	C₂²	1	2	yes	—
47	#560	C₂²	1	2	yes	complemented
48	#559	C₂²	1	4	yes	—
49	#559	C₂²	1	2	yes	—
50	#559	C₂²	1	2	yes	complemented
51	Q₈²	C₂²	1	2	yes	complemented
52	Q₈²	C₂²	1	2	yes	complemented
53	#557	C₂²	1	4	yes	complemented
54	#557	C₂²	1	2	yes	complemented
55	#557	C₂²	1	2	yes	complemented
56	#557	C₂²	1	4	yes	complemented
57	#557	C₂²	1	2	yes	complemented
58	#557	C₂²	1	4	yes	complemented
59	#556	C₂²	1	4	yes	—
60	#556	C₂²	1	2	yes	—
61	#556	C₂²	1	4	yes	—
62	#556	C₂²	1	4	yes	complemented
63	#556	C₂²	1	4	yes	complemented
64	#556	C₂²	1	2	yes	complemented
65	#556	C₂²	1	4	yes	complemented
66	#556	C₂²	1	2	yes	complemented
67	#556	C₂²	1	2	yes	complemented
68	#556	C₂²	1	2	yes	complemented
69	#556	C₂²	1	4	yes	complemented
70	#556	C₂²	1	4	yes	complemented
71	#556	C₂²	1	4	yes	complemented
72	#556	C₂²	1	2	yes	complemented
73	#556	C₂²	1	2	yes	complemented
74	#556	C₂²	1	4	yes	complemented
75	#556	C₂²	1	4	yes	complemented
76	#556	C₂²	1	4	yes	complemented
77	#555	C₂²	1	2	yes	—
78	#555	C₂²	1	4	yes	complemented
79	#555	C₂²	1	2	yes	complemented
80	#554	C₂²	1	4	yes	complemented
81	#554	C₂²	1	2	yes	complemented
82	#554	C₂²	1	4	yes	complemented
83	#554	C₂²	1	2	yes	complemented
84	#554	C₂²	1	4	yes	complemented
85	#554	C₂²	1	4	yes	complemented
86	#553	C₂²	1	2	yes	—
87	#553	C₂²	1	4	yes	—
88	#553	C₂²	1	2	yes	complemented
89	#553	C₂²	1	4	yes	complemented
90	#553	C₂²	1	4	yes	complemented
91	#553	C₂²	1	4	yes	complemented
92	#552	C₂²	1	2	yes	—
93	#552	C₂²	1	4	yes	complemented
94	#552	C₂²	1	4	yes	complemented
95	#552	C₂²	1	4	yes	complemented
96	#552	C₂²	1	4	yes	complemented
97	#552	C₂²	1	4	yes	complemented
98	#552	C₂²	1	4	yes	complemented
99	#552	C₂²	1	2	yes	complemented
100	#552	C₂²	1	4	yes	complemented
101	#552	C₂²	1	4	yes	complemented
102	#552	C₂²	1	2	yes	complemented
103	#552	C₂²	1	2	yes	complemented
104	#552	C₂²	1	4	yes	complemented
105	#552	C₂²	1	4	yes	complemented
106	#552	C₂²	1	4	yes	complemented
107	#552	C₂²	1	4	yes	complemented
108	#551	C₂²	1	4	yes	—
109	#551	C₂²	1	4	yes	—
110	#551	C₂²	1	2	yes	—
111	#551	C₂²	1	2	yes	—
112	#551	C₂²	1	4	yes	—
113	#551	C₂²	1	4	yes	complemented
114	#551	C₂²	1	4	yes	complemented
115	#551	C₂²	1	4	yes	complemented
116	#551	C₂²	1	4	yes	complemented
117	#551	C₂²	1	2	yes	complemented
118	#551	C₂²	1	2	yes	complemented
119	#551	C₂²	1	4	yes	complemented
120	D₄×Q₈	C₂²	1	2	yes	—
121	D₄×Q₈	C₂²	1	2	yes	complemented
122	D₄×Q₈	C₂²	1	2	yes	complemented
123	D₄×Q₈	C₂²	1	2	yes	complemented
124	D₄×Q₈	C₂²	1	2	yes	complemented
125	#548	C₂²	1	2	yes	—
126	#548	C₂²	1	2	yes	—
127	#548	C₂²	1	2	yes	—
128	#548	C₂²	1	2	yes	complemented
129	#547	C₂²	1	2	yes	—
130	#546	C₂²	1	2	yes	—
131	#546	C₂²	1	2	yes	complemented
132	#544	C₂²	1	2	yes	complemented
133	#544	C₂²	1	2	yes	complemented
134	#544	C₂²	1	4	yes	complemented
135	#544	C₂²	1	4	yes	complemented
136	#544	C₂²	1	4	yes	complemented
137	#543	C₂²	1	4	yes	complemented
138	#542	C₂²	1	2	yes	—
139	#542	C₂²	1	2	yes	—
140	#542	C₂²	1	2	yes	—
141	#542	C₂²	1	2	yes	—
142	#542	C₂²	1	2	yes	—
143	#542	C₂²	1	4	yes	—
144	#542	C₂²	1	4	yes	—
145	#542	C₂²	1	4	yes	—
146	#542	C₂²	1	4	yes	—
147	#542	C₂²	1	2	yes	complemented
148	#542	C₂²	1	4	yes	complemented
149	#542	C₂²	1	2	yes	complemented
150	#542	C₂²	1	2	yes	complemented
151	#542	C₂²	1	4	yes	complemented
152	#542	C₂²	1	4	yes	complemented
153	#542	C₂²	1	4	yes	complemented
154	#542	C₂²	1	4	yes	complemented
155	#542	C₂²	1	4	yes	complemented
156	#542	C₂²	1	4	yes	complemented
157	#542	C₂²	1	4	yes	complemented
158	#542	C₂²	1	4	yes	complemented
159	#542	C₂²	1	4	yes	complemented
160	#541	C₂²	1	2	yes	complemented
161	#541	C₂²	1	2	yes	complemented
162	#541	C₂²	1	2	yes	complemented
163	#541	C₂²	1	4	yes	complemented
164	#541	C₂²	1	2	yes	complemented
165	#541	C₂²	1	2	yes	complemented
166	#541	C₂²	1	2	yes	complemented
167	#541	C₂²	1	2	yes	complemented
168	#541	C₂²	1	4	yes	complemented
169	#541	C₂²	1	4	yes	complemented
170	#541	C₂²	1	4	yes	complemented
171	#541	C₂²	1	4	yes	complemented
172	#541	C₂²	1	4	yes	complemented
173	#541	C₂²	1	4	yes	complemented
174	#541	C₂²	1	4	yes	complemented
175	#541	C₂²	1	4	yes	complemented
176	#541	C₂²	1	4	yes	complemented
177	#541	C₂²	1	4	yes	complemented
178	#540	C₂²	1	2	yes	—
179	#540	C₂²	1	4	yes	—
180	#539	C₂²	1	2	yes	—
181	#539	C₂²	1	4	yes	—
182	#539	C₂²	1	2	yes	complemented
183	#539	C₂²	1	4	yes	complemented
184	#539	C₂²	1	4	yes	complemented
185	#539	C₂²	1	4	yes	complemented
186	#539	C₂²	1	4	yes	complemented
187	#539	C₂²	1	4	yes	complemented
188	#539	C₂²	1	4	yes	complemented
189	#539	C₂²	1	4	yes	complemented
190	#538	C₂²	1	2	yes	—
191	#538	C₂²	1	4	yes	—
192	#538	C₂²	1	4	yes	—
193	#538	C₂²	1	4	yes	—
194	#538	C₂²	1	4	yes	—
195	#538	C₂²	1	2	yes	complemented
196	#538	C₂²	1	4	yes	complemented
197	#538	C₂²	1	4	yes	complemented
198	#537	C₂²	1	2	yes	—
199	#536	C₂²	1	2	yes	—
200	#536	C₂²	1	1	yes	characteristic
201	#536	C₂²	1	1	yes	characteristic
202	#536	C₂²	1	1	yes	characteristic
203	#536	C₂²	1	2	yes	complemented
204	#536	C₂²	1	2	yes	complemented
205	#535	C₂²	1	1	yes	characteristic
206	#533	C₂²	1	1	yes	characteristic, complemented
207	#533	C₂²	1	2	yes	complemented
208	#533	C₂²	1	2	yes	complemented
209	#533	C₂²	1	4	yes	complemented
210	#533	C₂²	1	2	yes	complemented
211	#533	C₂²	1	2	yes	complemented
212	#533	C₂²	1	1	yes	characteristic, complemented
213	#533	C₂²	1	1	yes	characteristic, complemented
214	#533	C₂²	1	4	yes	complemented
215	#533	C₂²	1	4	yes	complemented
216	#532	C₂²	1	1	yes	characteristic
217	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
218	#529	C₂²	1	2	yes	—
219	#529	C₂²	1	2	yes	—
220	#529	C₂²	1	2	yes	—
221	#529	C₂²	1	2	yes	—
222	#529	C₂²	1	4	yes	—
223	#529	C₂²	1	4	yes	—
224	#529	C₂²	1	2	yes	complemented
225	#529	C₂²	1	2	yes	complemented
226	#529	C₂²	1	2	yes	complemented
227	#529	C₂²	1	4	yes	complemented
228	#529	C₂²	1	4	yes	complemented
229	#529	C₂²	1	4	yes	complemented
230	#529	C₂²	1	2	yes	complemented
231	#529	C₂²	1	4	yes	complemented
232	#529	C₂²	1	4	yes	complemented
233	#529	C₂²	1	4	yes	complemented
234	C₂×#126	C₂²	1	4	yes	complemented
235	C₂×#124	C₂²	1	1	yes	characteristic, complemented
236	#525	C₂²	1	1	yes	characteristic
237	#525	C₂²	1	2	yes	—
238	#525	C₂²	1	1	yes	characteristic, complemented
239	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
240	#520	C₂²	1	2	yes	—
241	#519	C₂²	1	2	yes	complemented
242	#519	C₂²	1	1	yes	characteristic, complemented
243	#519	C₂²	1	1	yes	characteristic, complemented
244	#519	C₂²	1	1	yes	characteristic, complemented
245	#518	C₂²	1	1	yes	characteristic, complemented
246	C₄×#41	C₂²	1	1	yes	characteristic
247	C₄×#41	C₂²	1	1	yes	characteristic, complemented
248	C₄×#41	C₂²	1	2	yes	complemented
249	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
250	C₂×#117	C₂²	1	1	yes	characteristic, complemented
251	C₂×#41	C₂³	1	1	yes	characteristic
252	C₂×#41	C₂³	1	1	yes	characteristic
253	C₂×#41	C₂³	1	2	yes	—
254	C₂×#41	C₂³	1	2	yes	—
255	C₂²×Q₈	C₂³	1	2	yes	—
256	C₂²×Q₈	C₂³	1	2	yes	—
257	C₂²×Q₈	C₂³	1	1	yes	characteristic
258	C₂²×Q₈	C₂³	1	1	yes	characteristic
259	C₂²×Q₈	C₂³	1	1	yes	characteristic
260	C₂²×D₄	C₂³	1	1	yes	characteristic
261	C₂³×C₄	C₂³	1	1	yes	characteristic
262	C₄⋊Q₈	C₂³	1	2	yes	—
263	C₄⋊Q₈	C₂³	1	2	yes	—
264	C₄⋊Q₈	C₂³	1	4	yes	—
265	C₄⋊Q₈	C₂³	1	1	yes	characteristic
266	C₄⋊Q₈	C₂³	1	2	yes	—
267	C₄⋊Q₈	C₂³	1	2	yes	—
268	C₄⋊Q₈	C₂³	1	2	yes	—
269	C₄⋊Q₈	C₂³	1	4	yes	—
270	C₄⋊Q₈	C₂³	1	2	yes	—
271	C₄⋊Q₈	C₂³	1	4	yes	—
272	C₄⋊Q₈	C₂³	1	2	yes	—
273	C₄⋊Q₈	C₂³	1	2	yes	—
274	C₄⋊Q₈	C₂³	1	2	yes	—
275	C₄⋊Q₈	C₂³	1	4	yes	—
276	C₄⋊Q₈	C₂³	1	4	yes	—
277	C₄⋊Q₈	C₂³	1	4	yes	—
278	C₄⋊Q₈	C₂³	1	4	yes	—
279	C₄⋊Q₈	C₂³	1	2	yes	—
280	C₄⋊Q₈	C₂³	1	2	yes	—
281	C₄⋊Q₈	C₂³	1	2	yes	—
282	C₄⋊Q₈	C₂³	1	4	yes	—
283	C₄⋊Q₈	C₂³	1	4	yes	—
284	C₄⋊Q₈	C₂³	1	4	yes	—
285	C₄⋊Q₈	C₂³	1	4	yes	—
286	C₄⋊Q₈	C₂³	1	4	yes	—
287	C₄⋊Q₈	C₂³	1	4	yes	—
288	C₄⋊Q₈	C₂³	1	4	yes	—
289	#127	C₂³	1	1	yes	characteristic
290	#127	C₂³	1	2	yes	—
291	#126	C₂³	1	2	yes	—
292	#126	C₂³	1	4	yes	—
293	#126	C₂³	1	4	yes	—
294	#126	C₂³	1	4	yes	—
295	#126	C₂³	1	4	yes	—
296	#126	C₂³	1	4	yes	—
297	#126	C₂³	1	4	yes	—
298	#126	C₂³	1	4	yes	—
299	#126	C₂³	1	2	yes	—
300	#126	C₂³	1	2	yes	—
301	#126	C₂³	1	2	yes	—
302	#126	C₂³	1	4	yes	—
303	#126	C₂³	1	4	yes	—
304	#126	C₂³	1	4	yes	—
305	#126	C₂³	1	4	yes	—
306	#126	C₂³	1	4	yes	—
307	#126	C₂³	1	2	yes	—
308	#126	C₂³	1	2	yes	—
309	#126	C₂³	1	4	yes	—
310	#126	C₂³	1	4	yes	—
311	#126	C₂³	1	4	yes	—
312	#126	C₂³	1	2	yes	—
313	#126	C₂³	1	4	yes	—
314	#126	C₂³	1	4	yes	—
315	#126	C₂³	1	4	yes	—
316	#126	C₂³	1	2	yes	—
317	#126	C₂³	1	4	yes	—
318	#126	C₂³	1	4	yes	—
319	#126	C₂³	1	4	yes	—
320	#126	C₂³	1	4	yes	—
321	#126	C₂³	1	4	yes	—
322	#126	C₂³	1	4	yes	—
323	#126	C₂³	1	4	yes	—
324	#126	C₂³	1	4	yes	—
325	#126	C₂³	1	4	yes	—
326	#126	C₂³	1	4	yes	—
327	#126	C₂³	1	4	yes	—
328	#126	C₂³	1	4	yes	—
329	#126	C₂³	1	4	yes	—
330	#126	C₂³	1	4	yes	—
331	#126	C₂³	1	4	yes	—
332	#126	C₂³	1	4	yes	—
333	#126	C₂³	1	4	yes	—
334	#126	C₂³	1	4	yes	—
335	#126	C₂³	1	4	yes	—
336	#126	C₂³	1	4	yes	—
337	#126	C₂³	1	4	yes	—
338	#126	C₂³	1	4	yes	—
339	#126	C₂³	1	4	yes	—
340	#126	C₂³	1	4	yes	—
341	#125	C₂³	1	2	yes	—
342	#125	C₂³	1	4	yes	—
343	#125	C₂³	1	2	yes	—
344	#125	C₂³	1	2	yes	—
345	#125	C₂³	1	4	yes	—
346	#125	C₂³	1	2	yes	—
347	#125	C₂³	1	2	yes	—
348	#125	C₂³	1	4	yes	—
349	#125	C₂³	1	2	yes	—
350	#125	C₂³	1	4	yes	—
351	#125	C₂³	1	4	yes	—
352	#125	C₂³	1	4	yes	—
353	#125	C₂³	1	4	yes	—
354	#125	C₂³	1	4	yes	—
355	#125	C₂³	1	2	yes	—
356	#125	C₂³	1	4	yes	—
357	#125	C₂³	1	4	yes	—
358	#125	C₂³	1	4	yes	—
359	#125	C₂³	1	2	yes	—
360	#125	C₂³	1	4	yes	—
361	#125	C₂³	1	4	yes	—
362	#125	C₂³	1	2	yes	—
363	#125	C₂³	1	4	yes	—
364	#125	C₂³	1	4	yes	—
365	#125	C₂³	1	4	yes	—
366	#125	C₂³	1	4	yes	—
367	#125	C₂³	1	4	yes	—
368	#125	C₂³	1	4	yes	—
369	#125	C₂³	1	4	yes	—
370	#125	C₂³	1	4	yes	—
371	#125	C₂³	1	4	yes	—
372	#125	C₂³	1	4	yes	—
373	#125	C₂³	1	4	yes	—
374	#125	C₂³	1	4	yes	—
375	#125	C₂³	1	4	yes	—
376	#125	C₂³	1	4	yes	—
377	#125	C₂³	1	4	yes	—
378	#125	C₂³	1	4	yes	—
379	#125	C₂³	1	4	yes	—
380	#124	C₂³	1	2	yes	—
381	#124	C₂³	1	2	yes	—
382	#124	C₂³	1	4	yes	—
383	#124	C₂³	1	2	yes	—
384	#124	C₂³	1	2	yes	—
385	#124	C₂³	1	4	yes	—
386	#124	C₂³	1	4	yes	—
387	#124	C₂³	1	2	yes	—
388	#124	C₂³	1	2	yes	—
389	#124	C₂³	1	4	yes	—
390	#124	C₂³	1	2	yes	—
391	#124	C₂³	1	2	yes	—
392	#124	C₂³	1	4	yes	—
393	#124	C₂³	1	4	yes	—
394	#124	C₂³	1	4	yes	—
395	#124	C₂³	1	4	yes	—
396	#124	C₂³	1	1	yes	characteristic
397	#124	C₂³	1	1	yes	characteristic
398	#124	C₂³	1	2	yes	—
399	#124	C₂³	1	2	yes	—
400	#124	C₂³	1	2	yes	—
401	#124	C₂³	1	2	yes	—
402	#124	C₂³	1	4	yes	—
403	#124	C₂³	1	4	yes	—
404	#124	C₂³	1	4	yes	—
405	#124	C₂³	1	4	yes	—
406	#124	C₂³	1	4	yes	—
407	#124	C₂³	1	4	yes	—
408	#124	C₂³	1	4	yes	—
409	#124	C₂³	1	4	yes	—
410	#124	C₂³	1	4	yes	—
411	#124	C₂³	1	4	yes	—
412	#123	C₂³	1	4	yes	—
413	#123	C₂³	1	1	yes	characteristic
414	#123	C₂³	1	1	yes	characteristic
415	#123	C₂³	1	2	yes	—
416	#123	C₂³	1	4	yes	—
417	#123	C₂³	1	2	yes	—
418	#123	C₂³	1	4	yes	—
419	#123	C₂³	1	4	yes	—
420	#123	C₂³	1	2	yes	—
421	#123	C₂³	1	4	yes	—
422	#123	C₂³	1	2	yes	—
423	#123	C₂³	1	2	yes	—
424	#123	C₂³	1	4	yes	—
425	#123	C₂³	1	4	yes	—
426	#123	C₂³	1	4	yes	—
427	#123	C₂³	1	2	yes	—
428	#123	C₂³	1	2	yes	—
429	#123	C₂³	1	4	yes	—
430	#123	C₂³	1	4	yes	—
431	#123	C₂³	1	4	yes	—
432	#123	C₂³	1	4	yes	—
433	#123	C₂³	1	2	yes	—
434	#123	C₂³	1	2	yes	—
435	#123	C₂³	1	4	yes	—
436	#123	C₂³	1	4	yes	—
437	#123	C₂³	1	4	yes	—
438	#123	C₂³	1	4	yes	—
439	#123	C₂³	1	4	yes	—
440	#123	C₂³	1	2	yes	—
441	#123	C₂³	1	4	yes	—
442	#123	C₂³	1	2	yes	—
443	#123	C₂³	1	2	yes	—
444	#123	C₂³	1	4	yes	—
445	#123	C₂³	1	2	yes	—
446	#123	C₂³	1	2	yes	—
447	#123	C₂³	1	2	yes	—
448	#123	C₂³	1	4	yes	—
449	#123	C₂³	1	4	yes	—
450	#123	C₂³	1	4	yes	—
451	#123	C₂³	1	4	yes	—
452	#123	C₂³	1	4	yes	—
453	#123	C₂³	1	4	yes	—
454	#123	C₂³	1	4	yes	—
455	#123	C₂³	1	4	yes	—
456	C₂²⋊Q₈	C₂³	1	2	yes	—
457	C₂²⋊Q₈	C₂³	1	2	yes	—
458	C₂²⋊Q₈	C₂³	1	4	yes	—
459	C₂²⋊Q₈	C₂³	1	4	yes	—
460	C₂²⋊Q₈	C₂³	1	2	yes	—
461	C₂²⋊Q₈	C₂³	1	2	yes	—
462	C₂²⋊Q₈	C₂³	1	2	yes	—
463	C₂²⋊Q₈	C₂³	1	2	yes	—
464	C₂²⋊Q₈	C₂³	1	2	yes	—
465	C₂²⋊Q₈	C₂³	1	2	yes	—
466	C₂²⋊Q₈	C₂³	1	2	yes	—
467	C₂²⋊Q₈	C₂³	1	4	yes	—
468	C₂²⋊Q₈	C₂³	1	2	yes	—
469	C₂²⋊Q₈	C₂³	1	4	yes	—
470	C₂²⋊Q₈	C₂³	1	2	yes	—
471	C₂²⋊Q₈	C₂³	1	4	yes	—
472	C₂²⋊Q₈	C₂³	1	2	yes	—
473	C₂²⋊Q₈	C₂³	1	2	yes	—
474	C₂²⋊Q₈	C₂³	1	4	yes	—
475	C₂²⋊Q₈	C₂³	1	2	yes	—
476	C₂²⋊Q₈	C₂³	1	4	yes	—
477	C₂²⋊Q₈	C₂³	1	4	yes	—
478	C₂²⋊Q₈	C₂³	1	4	yes	—
479	C₂²⋊Q₈	C₂³	1	4	yes	—
480	C₂²⋊Q₈	C₂³	1	2	yes	—
481	C₂²⋊Q₈	C₂³	1	2	yes	—
482	C₂²⋊Q₈	C₂³	1	2	yes	—
483	C₂²⋊Q₈	C₂³	1	4	yes	—
484	C₂²⋊Q₈	C₂³	1	2	yes	—
485	C₂²⋊Q₈	C₂³	1	4	yes	—
486	C₂²⋊Q₈	C₂³	1	4	yes	—
487	C₂²⋊Q₈	C₂³	1	2	yes	—
488	C₂²⋊Q₈	C₂³	1	4	yes	—
489	C₂²⋊Q₈	C₂³	1	4	yes	—
490	C₂²⋊Q₈	C₂³	1	2	yes	—
491	C₂²⋊Q₈	C₂³	1	4	yes	—
492	C₂²⋊Q₈	C₂³	1	4	yes	—
493	C₂²⋊Q₈	C₂³	1	4	yes	—
494	C₂²⋊Q₈	C₂³	1	4	yes	—
495	C₂²⋊Q₈	C₂³	1	4	yes	—
496	C₂²⋊Q₈	C₂³	1	4	yes	—
497	C₂²⋊Q₈	C₂³	1	4	yes	—
498	C₂²⋊Q₈	C₂³	1	4	yes	—
499	C₂²⋊Q₈	C₂³	1	4	yes	—
500	C₂²⋊Q₈	C₂³	1	4	yes	—
501	C₂²⋊Q₈	C₂³	1	4	yes	—
502	C₂²⋊Q₈	C₂³	1	4	yes	—
503	C₂²⋊Q₈	C₂³	1	4	yes	—
504	C₂²⋊Q₈	C₂³	1	4	yes	—
505	C₂²⋊Q₈	C₂³	1	4	yes	—
506	C₂²⋊Q₈	C₂³	1	4	yes	—
507	C₂²⋊Q₈	C₂³	1	4	yes	—
508	C₂²⋊Q₈	C₂³	1	4	yes	—
509	C₂²⋊Q₈	C₂³	1	4	yes	—
510	C₂²⋊Q₈	C₂³	1	4	yes	—
511	C₂²⋊Q₈	C₂³	1	4	yes	—
512	C₂²⋊Q₈	C₂³	1	4	yes	—
513	C₂²⋊Q₈	C₂³	1	4	yes	—
514	C₂²⋊Q₈	C₂³	1	4	yes	—
515	C₂²⋊Q₈	C₂³	1	4	yes	—
516	C₂²⋊Q₈	C₂³	1	4	yes	—
517	C₂²⋊Q₈	C₂³	1	4	yes	—
518	C₂²⋊Q₈	C₂³	1	4	yes	—
519	C₂²⋊Q₈	C₂³	1	4	yes	—
520	C₂²⋊Q₈	C₂³	1	4	yes	—
521	#121	C₂³	1	2	yes	—
522	#121	C₂³	1	2	yes	—
523	#121	C₂³	1	2	yes	—
524	#121	C₂³	1	2	yes	—
525	#121	C₂³	1	2	yes	—
526	#121	C₂³	1	2	yes	—
527	#121	C₂³	1	4	yes	—
528	#121	C₂³	1	2	yes	—
529	#121	C₂³	1	4	yes	—
530	#121	C₂³	1	4	yes	—
531	#121	C₂³	1	4	yes	—
532	#121	C₂³	1	2	yes	—
533	#121	C₂³	1	4	yes	—
534	#121	C₂³	1	4	yes	—
535	#121	C₂³	1	2	yes	—
536	#121	C₂³	1	2	yes	—
537	#121	C₂³	1	4	yes	—
538	#121	C₂³	1	2	yes	—
539	#121	C₂³	1	2	yes	—
540	#121	C₂³	1	4	yes	—
541	#121	C₂³	1	4	yes	—
542	#121	C₂³	1	4	yes	—
543	#121	C₂³	1	4	yes	—
544	#121	C₂³	1	4	yes	—
545	#121	C₂³	1	4	yes	—
546	#120	C₂³	1	1	yes	characteristic
547	#120	C₂³	1	1	yes	characteristic
548	#120	C₂³	1	4	yes	—
549	#120	C₂³	1	2	yes	—
550	#120	C₂³	1	2	yes	—
551	#120	C₂³	1	2	yes	—
552	#120	C₂³	1	4	yes	—
553	#120	C₂³	1	4	yes	—
554	C₄×Q₈	C₂³	1	2	yes	—
555	C₄×Q₈	C₂³	1	2	yes	—
556	C₄×Q₈	C₂³	1	4	yes	—
557	C₄×Q₈	C₂³	1	2	yes	—
558	C₄×Q₈	C₂³	1	2	yes	—
559	C₄×Q₈	C₂³	1	4	yes	—
560	C₄×Q₈	C₂³	1	2	yes	—
561	C₄×Q₈	C₂³	1	2	yes	—
562	C₄×Q₈	C₂³	1	2	yes	—
563	C₄×Q₈	C₂³	1	2	yes	—
564	C₄×Q₈	C₂³	1	2	yes	—
565	C₄×Q₈	C₂³	1	4	yes	—
566	C₄×Q₈	C₂³	1	2	yes	—
567	C₄×Q₈	C₂³	1	2	yes	—
568	C₄×Q₈	C₂³	1	2	yes	—
569	C₄×Q₈	C₂³	1	4	yes	—
570	C₄×Q₈	C₂³	1	4	yes	—
571	C₄×Q₈	C₂³	1	2	yes	—
572	C₄×Q₈	C₂³	1	4	yes	—
573	C₄×Q₈	C₂³	1	4	yes	—
574	C₄×Q₈	C₂³	1	2	yes	—
575	C₄×Q₈	C₂³	1	2	yes	—
576	C₄×Q₈	C₂³	1	2	yes	—
577	C₄×Q₈	C₂³	1	4	yes	—
578	C₄×Q₈	C₂³	1	4	yes	—
579	C₄×Q₈	C₂³	1	4	yes	—
580	C₄×Q₈	C₂³	1	4	yes	—
581	C₄×Q₈	C₂³	1	4	yes	—
582	C₄×Q₈	C₂³	1	4	yes	—
583	C₄×Q₈	C₂³	1	4	yes	—
584	C₄×Q₈	C₂³	1	4	yes	—
585	C₄×Q₈	C₂³	1	4	yes	—
586	C₄×Q₈	C₂³	1	4	yes	—
587	C₄×Q₈	C₂³	1	4	yes	—
588	C₄×Q₈	C₂³	1	4	yes	—
589	C₄×Q₈	C₂³	1	4	yes	—
590	C₄×Q₈	C₂³	1	4	yes	—
591	C₄×D₄	C₂³	1	2	yes	—
592	C₄×D₄	C₂³	1	2	yes	—
593	C₄×D₄	C₂³	1	2	yes	—
594	C₄×D₄	C₂³	1	2	yes	—
595	C₄×D₄	C₂³	1	2	yes	—
596	C₄×D₄	C₂³	1	4	yes	—
597	C₄×D₄	C₂³	1	2	yes	—
598	C₄×D₄	C₂³	1	2	yes	—
599	C₄×D₄	C₂³	1	4	yes	—
600	C₄×D₄	C₂³	1	2	yes	—
601	C₄×D₄	C₂³	1	4	yes	—
602	C₄×D₄	C₂³	1	2	yes	—
603	C₄×D₄	C₂³	1	4	yes	—
604	C₄×D₄	C₂³	1	2	yes	—
605	C₄×D₄	C₂³	1	4	yes	—
606	C₄×D₄	C₂³	1	2	yes	—
607	C₄×D₄	C₂³	1	2	yes	—
608	C₄×D₄	C₂³	1	4	yes	—
609	C₄×D₄	C₂³	1	4	yes	—
610	C₄×D₄	C₂³	1	2	yes	—
611	C₄×D₄	C₂³	1	2	yes	—
612	C₄×D₄	C₂³	1	2	yes	—
613	C₄×D₄	C₂³	1	4	yes	—
614	C₄×D₄	C₂³	1	4	yes	—
615	C₄×D₄	C₂³	1	4	yes	—
616	C₄×D₄	C₂³	1	4	yes	—
617	C₄×D₄	C₂³	1	4	yes	—
618	C₄×D₄	C₂³	1	4	yes	—
619	C₄×D₄	C₂³	1	4	yes	—
620	C₄×D₄	C₂³	1	2	yes	—
621	C₄×D₄	C₂³	1	4	yes	—
622	C₄×D₄	C₂³	1	4	yes	—
623	C₄×D₄	C₂³	1	4	yes	—
624	C₄×D₄	C₂³	1	4	yes	—
625	C₄×D₄	C₂³	1	4	yes	—
626	C₄×D₄	C₂³	1	4	yes	—
627	C₄×D₄	C₂³	1	4	yes	—
628	C₄×D₄	C₂³	1	4	yes	—
629	C₄×D₄	C₂³	1	4	yes	—
630	#117	C₂³	1	2	yes	—
631	#117	C₂³	1	2	yes	—
632	#117	C₂³	1	2	yes	—
633	#117	C₂³	1	2	yes	—
634	#117	C₂³	1	1	yes	characteristic
635	#117	C₂³	1	1	yes	characteristic
636	#117	C₂³	1	1	yes	characteristic
637	#117	C₂³	1	1	yes	characteristic
638	#117	C₂³	1	2	yes	—
639	#117	C₂³	1	2	yes	—
640	#117	C₂³	1	4	yes	—
641	#117	C₂³	1	1	yes	characteristic
642	#117	C₂³	1	2	yes	—
643	#117	C₂³	1	4	yes	—
644	#117	C₂³	1	4	yes	—
645	#117	C₂³	1	4	yes	—
646	#117	C₂³	1	4	yes	—
647	#117	C₂³	1	4	yes	—
648	#117	C₂³	1	1	yes	characteristic
649	#117	C₂³	1	1	yes	characteristic
650	#117	C₂³	1	1	yes	characteristic
651	#117	C₂³	1	4	yes	—
652	#117	C₂³	1	4	yes	—
653	#117	C₂³	1	4	yes	—
654	#117	C₂³	1	4	yes	—
655	#117	C₂³	1	4	yes	—
656	#117	C₂³	1	4	yes	—
657	#117	C₂³	1	4	yes	—
658	#117	C₂³	1	4	yes	—
659	#117	C₂³	1	4	yes	—
660	#117	C₂³	1	4	yes	—
661	#117	C₂³	1	4	yes	—
662	#117	C₂³	1	4	yes	—
663	#117	C₂³	1	4	yes	—
664	#117	C₂³	1	4	yes	—
665	#117	C₂³	1	4	yes	—
666	#117	C₂³	1	4	yes	—
667	#117	C₂³	1	4	yes	—
668	C₂×C₄⋊C₄	C₂³	1	2	yes	—
669	C₂×C₄⋊C₄	C₂³	1	2	yes	—
670	C₂×C₄⋊C₄	C₂³	1	4	yes	—
671	C₂×C₄⋊C₄	C₂³	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³	1	4	yes	—
673	C₂×C₄⋊C₄	C₂³	1	4	yes	—
674	C₂×C₄⋊C₄	C₂³	1	4	yes	—
675	C₂×C₄⋊C₄	C₂³	1	4	yes	—
676	C₂×C₄⋊C₄	C₂³	1	4	yes	—
677	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
679	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
680	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
681	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
682	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
683	C₂×C₄²	C₂³	1	1	yes	characteristic
684	C₂×C₄²	C₂³	1	1	yes	characteristic
685	C₂×C₄²	C₂³	1	2	yes	—
686	C₂×C₄²	C₂³	1	4	yes	—
687	C₂×C₄²	C₂³	1	1	yes	characteristic
688	C₂×C₄²	C₂³	1	1	yes	characteristic
689	C₂×C₄²	C₂³	1	4	yes	—
690	C₂⁴	C₂⁴	1	2	yes	—
691	C₂⁴	C₂⁴	1	1	yes	characteristic
692	#41	—	4	2	no	—
693	#41	—	4	2	no	—
694	#41	—	4	4	no	—
695	#41	—	4	4	no	—
696	C₂×Q₈	—	4	4	no	—
697	C₂×Q₈	—	4	2	no	—
698	C₂×Q₈	—	4	2	no	—
699	C₂×Q₈	—	4	2	no	—
700	C₂×Q₈	—	4	4	no	—
701	C₂×Q₈	C₂⁴	1	2	yes	—
702	C₂×Q₈	C₂⁴	1	2	yes	—
703	C₂×Q₈	C₂⁴	1	2	yes	—
704	C₂×Q₈	C₂⁴	1	2	yes	—
705	C₂×Q₈	C₂⁴	1	2	yes	—
706	C₂×Q₈	C₂⁴	1	4	yes	—
707	C₂×Q₈	C₂⁴	1	4	yes	—
708	C₂×Q₈	C₂⁴	1	4	yes	—
709	C₂×Q₈	C₂⁴	1	4	yes	—
710	C₂×Q₈	C₂⁴	1	4	yes	—
711	C₂×Q₈	C₂⁴	1	4	yes	—
712	C₂×Q₈	C₂⁴	1	1	yes	characteristic
713	C₂×Q₈	C₂⁴	1	2	yes	—
714	C₂×Q₈	C₂⁴	1	2	yes	—
715	C₂×Q₈	C₂⁴	1	2	yes	—
716	C₂×Q₈	C₂⁴	1	1	yes	characteristic
717	C₂×D₄	—	4	2	no	—
718	C₂×D₄	C₂⁴	1	2	yes	—
719	C₂×D₄	C₂⁴	1	2	yes	—
720	C₂×D₄	C₂⁴	1	4	yes	—
721	C₂×D₄	C₂⁴	1	2	yes	—
722	C₂×D₄	C₂⁴	1	4	yes	—
723	C₂×D₄	C₂⁴	1	2	yes	—
724	C₂×D₄	C₂⁴	1	2	yes	—
725	C₂×D₄	C₂⁴	1	4	yes	—
726	C₂×D₄	C₂⁴	1	2	yes	—
727	C₂×D₄	C₂⁴	1	4	yes	—
728	C₂×D₄	C₂⁴	1	2	yes	—
729	C₂×D₄	C₂⁴	1	1	yes	characteristic
730	C₂×D₄	C₂⁴	1	4	yes	—
731	C₂×D₄	C₂⁴	1	1	yes	characteristic
732	C₂×D₄	C₂⁴	1	2	yes	—
733	C₂×D₄	C₂⁴	1	4	yes	—
734	C₂×D₄	C₂⁴	1	1	yes	characteristic
735	C₂×D₄	C₂⁴	1	1	yes	characteristic
736	C₂×D₄	C₂⁴	1	2	yes	—
737	C₂²×C₄	—	4	2	no	—
738	C₂²×C₄	C₂⁴	1	1	yes	characteristic
739	C₂²×C₄	C₂⁴	1	2	yes	—
740	C₂²×C₄	C₂⁴	1	1	yes	characteristic
741	C₂²×C₄	C₂⁴	1	1	yes	characteristic
742	C₂²×C₄	C₂⁴	1	2	yes	—
743	C₂²×C₄	C₂⁴	1	2	yes	—
744	C₂²×C₄	C₂⁴	1	2	yes	—
745	C₂²×C₄	C₂⁴	1	2	yes	—
746	C₂²×C₄	C₂⁴	1	4	yes	—
747	C₂²×C₄	C₂⁴	1	4	yes	—
748	C₂²×C₄	C₂⁴	1	2	yes	—
749	C₂²×C₄	C₂⁴	1	4	yes	—
750	C₂²×C₄	C₂⁴	1	2	yes	—
751	C₂²×C₄	C₂⁴	1	4	yes	—
752	C₂²×C₄	C₂⁴	1	2	yes	—
753	C₂²×C₄	C₂⁴	1	4	yes	—
754	C₂²×C₄	C₂⁴	1	2	yes	—
755	C₂²×C₄	C₂⁴	1	4	yes	—
756	C₂²×C₄	C₂⁴	1	4	yes	—
757	C₂²×C₄	C₂⁴	1	4	yes	—
758	C₂²×C₄	C₂⁴	1	4	yes	—
759	C₂²×C₄	C₂⁴	1	4	yes	—
760	C₂²×C₄	C₂⁴	1	2	yes	—
761	C₂²×C₄	C₂⁴	1	2	yes	—
762	C₂²×C₄	C₂⁴	1	2	yes	—
763	C₂²×C₄	C₂⁴	1	1	yes	characteristic
764	C₄⋊C₄	C₂⁴	1	2	yes	—
765	C₄⋊C₄	C₂⁴	1	2	yes	—
766	C₄⋊C₄	C₂⁴	1	4	yes	—
767	C₄⋊C₄	C₂⁴	1	4	yes	—
768	C₄⋊C₄	C₂⁴	1	2	yes	—
769	C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₄⋊C₄	C₂⁴	1	2	yes	—
772	C₄⋊C₄	C₂⁴	1	2	yes	—
773	C₄⋊C₄	C₂⁴	1	2	yes	—
774	C₄⋊C₄	C₂⁴	1	2	yes	—
775	C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₄⋊C₄	C₂⁴	1	2	yes	—
777	C₄⋊C₄	C₂⁴	1	2	yes	—
778	C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₄⋊C₄	C₂⁴	1	4	yes	—
780	C₄⋊C₄	C₂⁴	1	4	yes	—
781	C₄⋊C₄	C₂⁴	1	4	yes	—
782	C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₄⋊C₄	C₂⁴	1	4	yes	—
784	C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₄⋊C₄	C₂⁴	1	4	yes	—
786	C₄⋊C₄	C₂⁴	1	4	yes	—
787	C₄⋊C₄	C₂⁴	1	4	yes	—
788	C₄⋊C₄	C₂⁴	1	4	yes	—
789	C₄⋊C₄	C₂⁴	1	4	yes	—
790	C₄⋊C₄	C₂⁴	1	4	yes	—
791	C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₄⋊C₄	C₂⁴	1	2	yes	—
793	C₄⋊C₄	C₂⁴	1	4	yes	—
794	C₄⋊C₄	C₂⁴	1	2	yes	—
795	C₄⋊C₄	C₂⁴	1	4	yes	—
796	C₄⋊C₄	C₂⁴	1	4	yes	—
797	C₄⋊C₄	C₂⁴	1	2	yes	—
798	C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₄⋊C₄	C₂⁴	1	2	yes	—
801	C₄⋊C₄	C₂⁴	1	4	yes	—
802	C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₄⋊C₄	C₂⁴	1	4	yes	—
804	C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₄⋊C₄	C₂⁴	1	2	yes	—
807	C₄⋊C₄	C₂⁴	1	2	yes	—
808	C₄⋊C₄	C₂⁴	1	2	yes	—
809	C₄⋊C₄	C₂⁴	1	2	yes	—
810	C₄⋊C₄	C₂⁴	1	2	yes	—
811	C₄⋊C₄	C₂⁴	1	2	yes	—
812	C₄⋊C₄	C₂⁴	1	2	yes	—
813	C₄⋊C₄	C₂⁴	1	4	yes	—
814	C₄⋊C₄	C₂⁴	1	4	yes	—
815	C₄⋊C₄	C₂⁴	1	4	yes	—
816	C₄⋊C₄	C₂⁴	1	4	yes	—
817	C₄⋊C₄	C₂⁴	1	4	yes	—
818	C₄⋊C₄	C₂⁴	1	4	yes	—
819	C₄⋊C₄	C₂⁴	1	4	yes	—
820	C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₄⋊C₄	C₂⁴	1	4	yes	—
822	C₄⋊C₄	C₂⁴	1	4	yes	—
823	C₄⋊C₄	C₂⁴	1	2	yes	—
824	C₄⋊C₄	C₂⁴	1	4	yes	—
825	C₄⋊C₄	C₂⁴	1	2	yes	—
826	C₄⋊C₄	C₂⁴	1	2	yes	—
827	C₄⋊C₄	C₂⁴	1	4	yes	—
828	C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₄⋊C₄	C₂⁴	1	4	yes	—
830	C₄⋊C₄	C₂⁴	1	2	yes	—
831	C₄⋊C₄	C₂⁴	1	4	yes	—
832	C₄⋊C₄	C₂⁴	1	4	yes	—
833	C₄⋊C₄	C₂⁴	1	2	yes	—
834	C₄⋊C₄	C₂⁴	1	4	yes	—
835	C₄⋊C₄	C₂⁴	1	2	yes	—
836	C₂²⋊C₄	C₂⁴	1	2	yes	—
837	C₂²⋊C₄	C₂⁴	1	2	yes	—
838	C₂²⋊C₄	C₂⁴	1	2	yes	—
839	C₂²⋊C₄	C₂⁴	1	2	yes	—
840	C₂²⋊C₄	C₂⁴	1	2	yes	—
841	C₂²⋊C₄	C₂⁴	1	2	yes	—
842	C₂²⋊C₄	C₂⁴	1	4	yes	—
843	C₂²⋊C₄	C₂⁴	1	2	yes	—
844	C₂²⋊C₄	C₂⁴	1	2	yes	—
845	C₂²⋊C₄	C₂⁴	1	4	yes	—
846	C₂²⋊C₄	C₂⁴	1	4	yes	—
847	C₂²⋊C₄	C₂⁴	1	4	yes	—
848	C₂²⋊C₄	C₂⁴	1	4	yes	—
849	C₂²⋊C₄	C₂⁴	1	4	yes	—
850	C₂²⋊C₄	C₂⁴	1	4	yes	—
851	C₂²⋊C₄	C₂⁴	1	4	yes	—
852	C₂²⋊C₄	C₂⁴	1	4	yes	—
853	C₂²⋊C₄	C₂⁴	1	4	yes	—
854	C₂²⋊C₄	C₂⁴	1	4	yes	—
855	C₂²⋊C₄	C₂⁴	1	4	yes	—
856	C₂²⋊C₄	C₂⁴	1	4	yes	—
857	C₂²⋊C₄	C₂⁴	1	4	yes	—
858	C₂²⋊C₄	C₂⁴	1	4	yes	—
859	C₂²⋊C₄	C₂⁴	1	4	yes	—
860	C₂²⋊C₄	C₂⁴	1	2	yes	—
861	C₂²⋊C₄	C₂⁴	1	2	yes	—
862	C₂²⋊C₄	C₂⁴	1	4	yes	—
863	C₂²⋊C₄	C₂⁴	1	2	yes	—
864	C₂²⋊C₄	C₂⁴	1	2	yes	—
865	C₂²⋊C₄	C₂⁴	1	4	yes	—
866	C₂²⋊C₄	C₂⁴	1	2	yes	—
867	C₂²⋊C₄	C₂⁴	1	4	yes	—
868	C₂²⋊C₄	C₂⁴	1	4	yes	—
869	C₂²⋊C₄	C₂⁴	1	4	yes	—
870	C₂²⋊C₄	C₂⁴	1	4	yes	—
871	C₂²⋊C₄	C₂⁴	1	2	yes	—
872	C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂²⋊C₄	C₂⁴	1	2	yes	—
874	C₂²⋊C₄	C₂⁴	1	2	yes	—
875	C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
878	C₂²⋊C₄	C₂⁴	1	2	yes	—
879	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
880	C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂²⋊C₄	C₂⁴	1	2	yes	—
882	C₂²⋊C₄	C₂⁴	1	2	yes	—
883	C₂²⋊C₄	C₂⁴	1	4	yes	—
884	C₂²⋊C₄	C₂⁴	1	4	yes	—
885	C₂²⋊C₄	C₂⁴	1	2	yes	—
886	C₂²⋊C₄	C₂⁴	1	2	yes	—
887	C₂²⋊C₄	C₂⁴	1	2	yes	—
888	C₂²⋊C₄	C₂⁴	1	2	yes	—
889	C₂²⋊C₄	C₂⁴	1	4	yes	—
890	C₂²⋊C₄	C₂⁴	1	2	yes	—
891	C₂²⋊C₄	C₂⁴	1	2	yes	—
892	C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₄²	C₂⁴	1	1	yes	characteristic
894	C₄²	C₂⁴	1	1	yes	characteristic
895	C₄²	C₂⁴	1	2	yes	—
896	C₄²	C₂⁴	1	1	yes	characteristic
897	C₄²	C₂⁴	1	2	yes	—
898	C₄²	C₂⁴	1	4	yes	—
899	C₄²	C₂⁴	1	2	yes	—
900	C₄²	C₂⁴	1	4	yes	—
901	C₄²	C₂⁴	1	4	yes	—
902	C₄²	C₂⁴	1	1	yes	characteristic
903	C₄²	C₂⁴	1	2	yes	—
904	C₄²	C₂⁴	1	2	yes	—
905	C₄²	C₂⁴	1	1	yes	characteristic
906	C₄²	C₂⁴	1	4	yes	—
907	C₄²	C₂⁴	1	4	yes	—
908	C₄²	C₂⁴	1	4	yes	—
909	C₄²	C₂⁴	1	2	yes	—
910	C₄²	C₂⁴	1	1	yes	characteristic
911	C₄²	C₂⁴	1	4	yes	—
912	C₄²	C₂⁴	1	2	yes	—
913	C₄²	C₂⁴	1	4	yes	—
914	C₄²	C₂⁴	1	4	yes	—
915	C₄²	C₂⁴	1	2	yes	—
916	C₄²	C₂⁴	1	4	yes	—
917	C₄²	C₂⁴	1	4	yes	—
918	C₄²	C₂⁴	1	4	yes	—
919	C₄²	C₂⁴	1	2	yes	—
920	C₄²	C₂⁴	1	4	yes	—
921	C₄²	C₂⁴	1	4	yes	—
922	C₄²	C₂⁴	1	2	yes	—
923	C₄²	C₂⁴	1	2	yes	—
924	C₂³	—	4	1	no	—
925	C₂³	—	4	2	no	—
926	C₂³	—	4	2	no	—
927	C₂³	—	4	4	no	—
928	C₂³	C₂⁵	1	1	yes	characteristic
929	C₂³	C₂⁵	1	2	yes	—
930	C₂³	C₂⁵	1	1	yes	characteristic
931	C₂³	C₂⁵	1	4	yes	—
932	C₂³	C₂⁵	1	1	yes	characteristic
933	C₂³	C₂⁵	1	2	yes	—
934	Q₈	—	2	4	no	—
935	Q₈	—	2	4	no	—
936	Q₈	—	2	4	no	—
937	Q₈	—	4	4	no	—
938	Q₈	—	4	4	no	—
939	Q₈	—	4	2	no	—
940	Q₈	—	4	2	no	—
941	Q₈	—	4	2	no	—
942	Q₈	—	4	2	no	—
943	Q₈	—	4	2	no	—
944	Q₈	—	4	4	no	—
945	Q₈	—	4	4	no	—
946	Q₈	—	4	4	no	—
947	Q₈	—	4	4	no	—
948	Q₈	—	4	1	no	—
949	Q₈	—	4	1	no	—
950	D₄	—	2	4	no	—
951	D₄	—	4	2	no	—
952	D₄	—	4	2	no	—
953	D₄	—	4	2	no	—
954	D₄	—	4	4	no	—
955	D₄	—	4	2	no	—
956	D₄	—	4	4	no	—
957	D₄	—	4	4	no	—
958	D₄	—	4	2	no	—
959	D₄	—	4	2	no	—
960	D₄	—	4	4	no	—
961	D₄	—	4	2	no	—
962	D₄	—	4	1	no	—
963	D₄	—	4	1	no	—
964	D₄	—	4	2	no	—
965	D₄	—	4	1	no	—
966	D₄	—	4	1	no	—
967	D₄	—	4	4	no	—
968	D₄	—	4	4	no	—
969	C₂×C₄	—	2	4	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	4	no	—
974	C₂×C₄	—	4	1	no	—
975	C₂×C₄	—	4	2	no	—
976	C₂×C₄	—	4	2	no	—
977	C₂×C₄	—	4	2	no	—
978	C₂×C₄	—	4	4	no	—
979	C₂×C₄	—	4	2	no	—
980	C₂×C₄	—	4	4	no	—
981	C₂×C₄	—	4	4	no	—
982	C₂×C₄	—	4	4	no	—
983	C₂×C₄	—	4	2	no	—
984	C₂×C₄	—	4	4	no	—
985	C₂×C₄	—	4	4	no	—
986	C₂×C₄	—	4	2	no	—
987	C₂×C₄	—	4	2	no	—
988	C₂×C₄	—	4	2	no	—
989	C₂×C₄	—	4	2	no	—
990	C₂×C₄	—	4	4	no	—
991	C₂×C₄	—	4	4	no	—
992	C₂×C₄	—	4	2	no	—
993	C₂×C₄	—	4	4	no	—
994	C₂×C₄	—	4	4	no	—
995	C₂×C₄	C₂⁵	1	2	yes	—
996	C₂×C₄	C₂⁵	1	2	yes	—
997	C₂×C₄	C₂⁵	1	4	yes	—
998	C₂×C₄	C₂⁵	1	2	yes	—
999	C₂×C₄	C₂⁵	1	1	yes	characteristic
1000	C₂×C₄	C₂⁵	1	4	yes	—
1001	C₂×C₄	C₂⁵	1	2	yes	—
1002	C₂×C₄	C₂⁵	1	1	yes	characteristic
1003	C₂×C₄	C₂⁵	1	2	yes	—
1004	C₂×C₄	C₂⁵	1	2	yes	—
1005	C₂×C₄	C₂⁵	1	4	yes	—
1006	C₂×C₄	C₂⁵	1	4	yes	—
1007	C₂×C₄	C₂⁵	1	2	yes	—
1008	C₂×C₄	C₂⁵	1	4	yes	—
1009	C₂×C₄	C₂⁵	1	2	yes	—
1010	C₂×C₄	C₂⁵	1	2	yes	—
1011	C₂×C₄	C₂⁵	1	4	yes	—
1012	C₂×C₄	C₂⁵	1	4	yes	—
1013	C₂×C₄	C₂⁵	1	1	yes	characteristic
1014	C₂×C₄	C₂⁵	1	2	yes	—
1015	C₂×C₄	C₂⁵	1	1	yes	characteristic
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	2	no	—
1018	C₂²	—	2	2	no	—
1019	C₂²	—	2	1	no	—
1020	C₂²	—	2	1	no	—
1021	C₂²	—	2	4	no	—
1022	C₂²	—	2	2	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	4	no	—
1026	C₂²	—	2	4	no	—
1027	C₂²	—	2	2	no	—
1028	C₂²	—	2	2	no	—
1029	C₂²	—	2	2	no	—
1030	C₂²	—	2	2	no	—
1031	C₂²	—	8	2	no	—
1032	C₂²	—	16	2	no	—
1033	C₂²	C₂⁶	1	1	yes	characteristic
1034	C₄	—	2	2	no	—
1035	C₄	—	2	1	no	—
1036	C₄	—	2	2	no	—
1037	C₄	—	2	1	no	—
1038	C₄	—	2	1	no	—
1039	C₄	—	2	4	no	—
1040	C₄	—	2	4	no	—
1041	C₄	—	2	4	no	—
1042	C₄	—	2	2	no	—
1043	C₄	—	2	2	no	—
1044	C₄	—	2	2	no	—
1045	C₄	—	2	4	no	—
1046	C₄	—	2	4	no	—
1047	C₄	—	2	2	no	—
1048	C₄	—	2	2	no	—
1049	C₄	—	2	4	no	—
1050	C₄	—	2	2	no	—
1051	C₄	—	2	2	no	—
1052	C₄	—	2	4	no	—
1053	C₄	—	2	2	no	—
1054	C₄	#585	1	2	yes	—
1055	C₂	—	4	1	no	—
1056	C₂	—	4	2	no	—
1057	C₂	—	4	2	no	—
1058	C₂	—	4	1	no	—
1059	C₂	—	4	4	no	—
1060	C₂	—	4	1	no	—
1061	C₂	C₂×#585	1	1	yes	characteristic
1062	C₂	2₋¹⁺⁶	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. #3568	C₂	semidirect
2. #3566	C₂	semidirect
3. #3566	C₂	semidirect
4. #3565	C₂	semidirect
5. #3565	C₂	semidirect
6. #3564	C₂	semidirect
7. #3564	C₂	semidirect
8. #3561	C₂	semidirect
9. #3557	C₂	semidirect
10. #3555	C₂	semidirect
11. #3555	C₂	semidirect
12. #3555	C₂	semidirect
13. #3552	C₂	semidirect
14. #3551	C₂	semidirect
15. #3550	C₂	semidirect
16. #3541	C₂	semidirect
17. #3540	C₂	semidirect
18. #3538	C₂	semidirect
19. #3523	C₂	semidirect
20. #3521	C₂	semidirect
21. #3518	C₂	semidirect
22. #3516	C₂	semidirect
23. #3510	C₂	semidirect
24. #3509	C₂	semidirect
25. #3495	C₂	semidirect
26. #3461	C₂	semidirect
27. #3455	C₂	semidirect
30. #563	C₂²	semidirect
31. #563	C₂²	semidirect
32. #563	C₂²	semidirect
33. #563	C₂²	semidirect
34. #563	C₂²	semidirect
35. #563	C₂²	semidirect
36. #563	C₂²	semidirect
37. #563	C₂²	semidirect
38. #563	C₂²	semidirect
39. #563	C₂²	semidirect
40. #563	C₂²	semidirect
41. #563	C₂²	semidirect
43. #562	C₂²	semidirect
44. #562	C₂²	semidirect
47. #560	C₂²	semidirect
50. #559	C₂²	semidirect
51. Q₈²	C₂²	semidirect
52. Q₈²	C₂²	semidirect
53. #557	C₂²	semidirect
54. #557	C₂²	semidirect
55. #557	C₂²	semidirect
56. #557	C₂²	semidirect
57. #557	C₂²	semidirect
58. #557	C₂²	semidirect
62. #556	C₂²	semidirect
63. #556	C₂²	semidirect
64. #556	C₂²	semidirect
65. #556	C₂²	semidirect
66. #556	C₂²	semidirect
67. #556	C₂²	semidirect
68. #556	C₂²	semidirect
69. #556	C₂²	semidirect
70. #556	C₂²	semidirect
71. #556	C₂²	semidirect
72. #556	C₂²	semidirect
73. #556	C₂²	semidirect
74. #556	C₂²	semidirect
75. #556	C₂²	semidirect
76. #556	C₂²	semidirect
78. #555	C₂²	semidirect
79. #555	C₂²	semidirect
80. #554	C₂²	semidirect
81. #554	C₂²	semidirect
82. #554	C₂²	semidirect
83. #554	C₂²	semidirect
84. #554	C₂²	semidirect
85. #554	C₂²	semidirect
88. #553	C₂²	semidirect
89. #553	C₂²	semidirect
90. #553	C₂²	semidirect
91. #553	C₂²	semidirect
93. #552	C₂²	semidirect
94. #552	C₂²	semidirect
95. #552	C₂²	semidirect
96. #552	C₂²	semidirect
97. #552	C₂²	semidirect
98. #552	C₂²	semidirect
99. #552	C₂²	semidirect
100. #552	C₂²	semidirect
101. #552	C₂²	semidirect
102. #552	C₂²	semidirect
103. #552	C₂²	semidirect
104. #552	C₂²	semidirect
105. #552	C₂²	semidirect
106. #552	C₂²	semidirect
107. #552	C₂²	semidirect
113. #551	C₂²	semidirect
114. #551	C₂²	semidirect
115. #551	C₂²	semidirect
116. #551	C₂²	semidirect
117. #551	C₂²	semidirect
118. #551	C₂²	semidirect
119. #551	C₂²	semidirect
121. D₄×Q₈	C₂²	semidirect
122. D₄×Q₈	C₂²	semidirect
123. D₄×Q₈	C₂²	semidirect
124. D₄×Q₈	C₂²	semidirect
128. #548	C₂²	semidirect
131. #546	C₂²	semidirect
132. #544	C₂²	semidirect
133. #544	C₂²	semidirect
134. #544	C₂²	semidirect
135. #544	C₂²	semidirect
136. #544	C₂²	semidirect
137. #543	C₂²	semidirect
147. #542	C₂²	semidirect
148. #542	C₂²	semidirect
149. #542	C₂²	semidirect
150. #542	C₂²	semidirect
151. #542	C₂²	semidirect
152. #542	C₂²	semidirect
153. #542	C₂²	semidirect
154. #542	C₂²	semidirect
155. #542	C₂²	semidirect
156. #542	C₂²	semidirect
157. #542	C₂²	semidirect
158. #542	C₂²	semidirect
159. #542	C₂²	semidirect
160. #541	C₂²	semidirect
161. #541	C₂²	semidirect
162. #541	C₂²	semidirect
163. #541	C₂²	semidirect
164. #541	C₂²	semidirect
165. #541	C₂²	semidirect
166. #541	C₂²	semidirect
167. #541	C₂²	semidirect
168. #541	C₂²	semidirect
169. #541	C₂²	semidirect
170. #541	C₂²	semidirect
171. #541	C₂²	semidirect
172. #541	C₂²	semidirect
173. #541	C₂²	semidirect
174. #541	C₂²	semidirect
175. #541	C₂²	semidirect
176. #541	C₂²	semidirect
177. #541	C₂²	semidirect
182. #539	C₂²	semidirect
183. #539	C₂²	semidirect
184. #539	C₂²	semidirect
185. #539	C₂²	semidirect
186. #539	C₂²	semidirect
187. #539	C₂²	semidirect
188. #539	C₂²	semidirect
189. #539	C₂²	semidirect
195. #538	C₂²	semidirect
196. #538	C₂²	semidirect
197. #538	C₂²	semidirect
203. #536	C₂²	semidirect
204. #536	C₂²	semidirect
206. #533	C₂²	semidirect
207. #533	C₂²	semidirect
208. #533	C₂²	semidirect
209. #533	C₂²	semidirect
210. #533	C₂²	semidirect
211. #533	C₂²	semidirect
212. #533	C₂²	semidirect
213. #533	C₂²	semidirect
214. #533	C₂²	semidirect
215. #533	C₂²	semidirect
217. C₂×C₄⋊Q₈	C₂²	semidirect
224. #529	C₂²	semidirect
225. #529	C₂²	semidirect
226. #529	C₂²	semidirect
227. #529	C₂²	semidirect
228. #529	C₂²	semidirect
229. #529	C₂²	semidirect
230. #529	C₂²	semidirect
231. #529	C₂²	semidirect
232. #529	C₂²	semidirect
233. #529	C₂²	semidirect
234. C₂×#126	C₂²	semidirect
235. C₂×#124	C₂²	semidirect
238. #525	C₂²	semidirect
239. C₂×C₂²⋊Q₈	C₂²	semidirect
241. #519	C₂²	semidirect
242. #519	C₂²	semidirect
243. #519	C₂²	semidirect
244. #519	C₂²	semidirect
245. #518	C₂²	semidirect
247. C₄×#41	C₂²	semidirect
248. C₄×#41	C₂²	semidirect
249. C₂×C₄×Q₈	C₂²	semidirect
250. C₂×#117	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3568	2
#3566	2
#3565	2
#3564	2
#3561	2
#3557	2
#3555	2
#3552	2
#3551	2
#3550	2
#3541	2
#3540	2
#3538	2
#3523	2
#3521	2
#3518	2
#3516	2
#3510	2
#3509	2
#3495	2
#3461	2
#3455	2