Subgroups — #63062

Order 256.

3138 conjugacy classes of subgroups.

The subgroup lattice has 1092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3567	C₂	1	2	yes	maximal, complemented
2	#3566	C₂	1	4	yes	maximal, complemented
3	#3566	C₂	1	4	yes	maximal, complemented
4	#3565	C₂	1	4	yes	maximal, complemented
5	#3564	C₂	1	4	yes	maximal, complemented
6	#3564	C₂	1	4	yes	maximal, complemented
7	#3563	C₂	1	2	yes	maximal, complemented
8	#3562	C₂	1	2	yes	maximal, complemented
9	#3561	C₂	1	1	yes	maximal, characteristic, complemented
10	#3561	C₂	1	1	yes	maximal, characteristic, complemented
11	#3557	C₂	1	4	yes	maximal, complemented
12	#3557	C₂	1	2	yes	maximal, complemented
13	#3556	C₂	1	1	yes	maximal, characteristic, complemented
14	#3555	C₂	1	2	yes	maximal, complemented
15	#3554	C₂	1	2	yes	maximal, complemented
16	#3553	C₂	1	2	yes	maximal, complemented
17	#3552	C₂	1	2	yes	maximal, complemented
18	#3552	C₂	1	2	yes	maximal, complemented
19	#3531	C₂	1	1	yes	maximal, characteristic, complemented
20	#3531	C₂	1	2	yes	maximal, complemented
21	#3524	C₂	1	2	yes	maximal, complemented
22	#3523	C₂	1	2	yes	maximal, complemented
23	#3521	C₂	1	2	yes	maximal, complemented
24	#3518	C₂	1	1	yes	maximal, characteristic, complemented
25	#3516	C₂	1	2	yes	maximal, complemented
26	#3515	C₂	1	1	yes	maximal, characteristic, complemented
27	#3510	C₂	1	1	yes	maximal, characteristic, complemented
28	#3509	C₂	1	2	yes	maximal, complemented
29	#3507	C₂	1	2	yes	maximal, complemented
30	#564	C₂²	1	2	yes	complemented
31	#564	C₂²	1	1	yes	characteristic, complemented
32	#564	C₂²	1	2	yes	complemented
33	#563	C₂²	1	2	yes	—
34	#563	C₂²	1	2	yes	—
35	#563	C₂²	1	2	yes	—
36	#563	C₂²	1	4	yes	—
37	#563	C₂²	1	2	yes	—
38	#563	C₂²	1	1	yes	characteristic, complemented
39	#563	C₂²	1	4	yes	complemented
40	#563	C₂²	1	4	yes	complemented
41	#563	C₂²	1	1	yes	characteristic, complemented
42	#563	C₂²	1	4	yes	complemented
43	#563	C₂²	1	2	yes	complemented
44	#563	C₂²	1	4	yes	complemented
45	#563	C₂²	1	2	yes	complemented
46	#563	C₂²	1	4	yes	complemented
47	#563	C₂²	1	4	yes	complemented
48	#563	C₂²	1	4	yes	complemented
49	#562	C₂²	1	2	yes	—
50	#562	C₂²	1	4	yes	—
51	#562	C₂²	1	2	yes	—
52	#562	C₂²	1	2	yes	—
53	#562	C₂²	1	2	yes	—
54	#562	C₂²	1	4	yes	complemented
55	#562	C₂²	1	1	yes	characteristic, complemented
56	#562	C₂²	1	4	yes	complemented
57	#560	C₂²	1	4	yes	—
58	#559	C₂²	1	2	yes	—
59	#559	C₂²	1	2	yes	—
60	#559	C₂²	1	2	yes	—
61	#559	C₂²	1	4	yes	complemented
62	#559	C₂²	1	4	yes	complemented
63	Q₈²	C₂²	1	1	yes	characteristic, complemented
64	#557	C₂²	1	2	yes	complemented
65	#557	C₂²	1	2	yes	complemented
66	#557	C₂²	1	1	yes	characteristic, complemented
67	#557	C₂²	1	2	yes	complemented
68	#557	C₂²	1	2	yes	complemented
69	#557	C₂²	1	2	yes	complemented
70	#557	C₂²	1	2	yes	complemented
71	#557	C₂²	1	4	yes	complemented
72	#557	C₂²	1	2	yes	complemented
73	#557	C₂²	1	2	yes	complemented
74	#557	C₂²	1	2	yes	complemented
75	#556	C₂²	1	2	yes	—
76	#556	C₂²	1	2	yes	—
77	#556	C₂²	1	2	yes	—
78	#556	C₂²	1	2	yes	—
79	#556	C₂²	1	2	yes	—
80	#556	C₂²	1	2	yes	—
81	#556	C₂²	1	2	yes	—
82	#556	C₂²	1	2	yes	—
83	#556	C₂²	1	4	yes	—
84	#556	C₂²	1	1	yes	characteristic, complemented
85	#556	C₂²	1	2	yes	complemented
86	#556	C₂²	1	4	yes	complemented
87	#556	C₂²	1	4	yes	complemented
88	#556	C₂²	1	4	yes	complemented
89	#556	C₂²	1	4	yes	complemented
90	#555	C₂²	1	2	yes	—
91	#555	C₂²	1	1	yes	characteristic, complemented
92	#555	C₂²	1	4	yes	complemented
93	#554	C₂²	1	2	yes	—
94	#554	C₂²	1	4	yes	complemented
95	#554	C₂²	1	1	yes	characteristic, complemented
96	#554	C₂²	1	1	yes	characteristic, complemented
97	#554	C₂²	1	4	yes	complemented
98	#554	C₂²	1	4	yes	complemented
99	#554	C₂²	1	4	yes	complemented
100	#554	C₂²	1	4	yes	complemented
101	#553	C₂²	1	2	yes	—
102	#553	C₂²	1	2	yes	—
103	#553	C₂²	1	4	yes	—
104	#553	C₂²	1	4	yes	—
105	#553	C₂²	1	4	yes	—
106	#553	C₂²	1	4	yes	complemented
107	#553	C₂²	1	4	yes	complemented
108	#553	C₂²	1	4	yes	complemented
109	#552	C₂²	1	2	yes	—
110	#552	C₂²	1	2	yes	—
111	#552	C₂²	1	4	yes	—
112	#552	C₂²	1	4	yes	—
113	#552	C₂²	1	4	yes	complemented
114	#552	C₂²	1	4	yes	complemented
115	#552	C₂²	1	4	yes	complemented
116	#552	C₂²	1	4	yes	complemented
117	#552	C₂²	1	4	yes	complemented
118	#552	C₂²	1	4	yes	complemented
119	#552	C₂²	1	4	yes	complemented
120	#552	C₂²	1	2	yes	complemented
121	#552	C₂²	1	4	yes	complemented
122	#552	C₂²	1	4	yes	complemented
123	#552	C₂²	1	4	yes	complemented
124	#552	C₂²	1	4	yes	complemented
125	#552	C₂²	1	4	yes	complemented
126	#552	C₂²	1	4	yes	complemented
127	#551	C₂²	1	4	yes	—
128	#551	C₂²	1	4	yes	—
129	#551	C₂²	1	4	yes	—
130	#551	C₂²	1	4	yes	—
131	#551	C₂²	1	4	yes	—
132	#551	C₂²	1	4	yes	—
133	#551	C₂²	1	4	yes	—
134	#550	C₂²	1	2	yes	—
135	D₄×Q₈	C₂²	1	2	yes	—
136	D₄×Q₈	C₂²	1	2	yes	—
137	D₄×Q₈	C₂²	1	2	yes	complemented
138	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
139	D₄×Q₈	C₂²	1	2	yes	complemented
140	#548	C₂²	1	2	yes	—
141	#548	C₂²	1	2	yes	—
142	#548	C₂²	1	2	yes	—
143	#548	C₂²	1	2	yes	—
144	#548	C₂²	1	2	yes	complemented
145	#547	C₂²	1	2	yes	—
146	#547	C₂²	1	2	yes	—
147	#547	C₂²	1	1	yes	characteristic, complemented
148	#546	C₂²	1	2	yes	—
149	#546	C₂²	1	2	yes	—
150	#544	C₂²	1	4	yes	complemented
151	#544	C₂²	1	4	yes	complemented
152	#544	C₂²	1	4	yes	complemented
153	#543	C₂²	1	2	yes	—
154	#543	C₂²	1	2	yes	—
155	#542	C₂²	1	2	yes	—
156	#542	C₂²	1	2	yes	—
157	#542	C₂²	1	2	yes	—
158	#542	C₂²	1	4	yes	—
159	#542	C₂²	1	2	yes	—
160	#542	C₂²	1	2	yes	—
161	#542	C₂²	1	4	yes	—
162	#542	C₂²	1	4	yes	—
163	#542	C₂²	1	4	yes	—
164	#542	C₂²	1	4	yes	complemented
165	#542	C₂²	1	2	yes	complemented
166	#542	C₂²	1	4	yes	complemented
167	#542	C₂²	1	4	yes	complemented
168	#542	C₂²	1	4	yes	complemented
169	#542	C₂²	1	4	yes	complemented
170	#542	C₂²	1	4	yes	complemented
171	#541	C₂²	1	2	yes	—
172	#541	C₂²	1	2	yes	—
173	#541	C₂²	1	4	yes	—
174	#541	C₂²	1	4	yes	—
175	#541	C₂²	1	4	yes	—
176	#541	C₂²	1	4	yes	complemented
177	#541	C₂²	1	4	yes	complemented
178	#541	C₂²	1	2	yes	complemented
179	#541	C₂²	1	2	yes	complemented
180	#541	C₂²	1	4	yes	complemented
181	#541	C₂²	1	2	yes	complemented
182	#541	C₂²	1	4	yes	complemented
183	#541	C₂²	1	4	yes	complemented
184	#541	C₂²	1	4	yes	complemented
185	#541	C₂²	1	4	yes	complemented
186	#540	C₂²	1	2	yes	—
187	#540	C₂²	1	4	yes	—
188	#540	C₂²	1	4	yes	complemented
189	#540	C₂²	1	4	yes	complemented
190	#539	C₂²	1	4	yes	—
191	#539	C₂²	1	4	yes	—
192	#539	C₂²	1	4	yes	—
193	#539	C₂²	1	4	yes	—
194	#539	C₂²	1	4	yes	complemented
195	#539	C₂²	1	4	yes	complemented
196	#539	C₂²	1	4	yes	complemented
197	#539	C₂²	1	4	yes	complemented
198	#539	C₂²	1	4	yes	complemented
199	#539	C₂²	1	4	yes	complemented
200	#539	C₂²	1	4	yes	complemented
201	#539	C₂²	1	4	yes	complemented
202	#539	C₂²	1	4	yes	complemented
203	#538	C₂²	1	4	yes	—
204	#538	C₂²	1	2	yes	—
205	#538	C₂²	1	2	yes	—
206	#538	C₂²	1	4	yes	—
207	#538	C₂²	1	4	yes	—
208	#536	C₂²	1	2	yes	—
209	#536	C₂²	1	2	yes	—
210	#536	C₂²	1	2	yes	—
211	#536	C₂²	1	1	yes	characteristic
212	#536	C₂²	1	2	yes	complemented
213	#535	C₂²	1	1	yes	characteristic
214	#533	C₂²	1	1	yes	characteristic
215	#533	C₂²	1	1	yes	characteristic
216	#533	C₂²	1	1	yes	characteristic
217	#533	C₂²	1	2	yes	complemented
218	#533	C₂²	1	2	yes	complemented
219	#533	C₂²	1	4	yes	complemented
220	#533	C₂²	1	4	yes	complemented
221	#533	C₂²	1	2	yes	complemented
222	#533	C₂²	1	4	yes	complemented
223	#533	C₂²	1	2	yes	complemented
224	#532	C₂²	1	2	yes	—
225	C₂×C₄⋊Q₈	C₂²	1	2	yes	complemented
226	#529	C₂²	1	2	yes	—
227	#529	C₂²	1	2	yes	—
228	#529	C₂²	1	1	yes	characteristic
229	#529	C₂²	1	2	yes	—
230	#529	C₂²	1	1	yes	characteristic
231	#529	C₂²	1	2	yes	—
232	#529	C₂²	1	4	yes	—
233	#529	C₂²	1	2	yes	—
234	#529	C₂²	1	2	yes	—
235	#529	C₂²	1	4	yes	—
236	#529	C₂²	1	4	yes	complemented
237	#529	C₂²	1	4	yes	complemented
238	#529	C₂²	1	2	yes	complemented
239	#529	C₂²	1	2	yes	complemented
240	#529	C₂²	1	4	yes	complemented
241	#529	C₂²	1	4	yes	complemented
242	#529	C₂²	1	2	yes	complemented
243	#529	C₂²	1	2	yes	complemented
244	#529	C₂²	1	4	yes	complemented
245	#529	C₂²	1	2	yes	complemented
246	#529	C₂²	1	4	yes	complemented
247	C₂×#126	C₂²	1	4	yes	—
248	C₂×#125	C₂²	1	2	yes	complemented
249	C₂×#124	C₂²	1	1	yes	characteristic
250	#520	C₂²	1	2	yes	—
251	#520	C₂²	1	2	yes	complemented
252	#519	C₂²	1	1	yes	characteristic
253	#519	C₂²	1	2	yes	complemented
254	#519	C₂²	1	2	yes	complemented
255	#518	C₂²	1	1	yes	characteristic
256	C₄×#41	C₂²	1	2	yes	—
257	C₄×#41	C₂²	1	1	yes	characteristic
258	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
259	C₂×#41	C₂³	1	1	yes	characteristic
260	C₂×#41	C₂³	1	2	yes	—
261	C₂×#41	C₂³	1	2	yes	—
262	C₂×#41	C₂³	1	2	yes	—
263	C₂²×Q₈	C₂³	1	2	yes	—
264	C₂²×Q₈	C₂³	1	1	yes	characteristic
265	C₂²×Q₈	C₂³	1	2	yes	—
266	C₂²×Q₈	C₂³	1	2	yes	—
267	C₂²×D₄	C₂³	1	1	yes	characteristic
268	C₄⋊Q₈	C₂³	1	4	yes	—
269	C₄⋊Q₈	C₂³	1	2	yes	—
270	C₄⋊Q₈	C₂³	1	2	yes	—
271	C₄⋊Q₈	C₂³	1	2	yes	—
272	C₄⋊Q₈	C₂³	1	2	yes	—
273	C₄⋊Q₈	C₂³	1	4	yes	—
274	C₄⋊Q₈	C₂³	1	2	yes	—
275	C₄⋊Q₈	C₂³	1	1	yes	characteristic
276	C₄⋊Q₈	C₂³	1	1	yes	characteristic
277	C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	C₄⋊Q₈	C₂³	1	1	yes	characteristic
279	C₄⋊Q₈	C₂³	1	1	yes	characteristic
280	C₄⋊Q₈	C₂³	1	1	yes	characteristic
281	C₄⋊Q₈	C₂³	1	2	yes	—
282	C₄⋊Q₈	C₂³	1	2	yes	—
283	C₄⋊Q₈	C₂³	1	2	yes	—
284	C₄⋊Q₈	C₂³	1	2	yes	—
285	C₄⋊Q₈	C₂³	1	2	yes	—
286	C₄⋊Q₈	C₂³	1	2	yes	—
287	C₄⋊Q₈	C₂³	1	4	yes	—
288	C₄⋊Q₈	C₂³	1	4	yes	—
289	C₄⋊Q₈	C₂³	1	2	yes	—
290	C₄⋊Q₈	C₂³	1	2	yes	—
291	C₄⋊Q₈	C₂³	1	4	yes	—
292	C₄⋊Q₈	C₂³	1	4	yes	—
293	C₄⋊Q₈	C₂³	1	4	yes	—
294	C₄⋊Q₈	C₂³	1	4	yes	—
295	C₄⋊Q₈	C₂³	1	4	yes	—
296	C₄⋊Q₈	C₂³	1	4	yes	—
297	#127	C₂³	1	2	yes	—
298	#127	C₂³	1	4	yes	—
299	#126	C₂³	1	2	yes	—
300	#126	C₂³	1	4	yes	—
301	#126	C₂³	1	4	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	4	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	2	yes	—
315	#126	C₂³	1	2	yes	—
316	#126	C₂³	1	2	yes	—
317	#126	C₂³	1	2	yes	—
318	#126	C₂³	1	2	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	2	yes	—
326	#126	C₂³	1	2	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	#126	C₂³	1	4	yes	—
342	#126	C₂³	1	4	yes	—
343	#126	C₂³	1	4	yes	—
344	#126	C₂³	1	4	yes	—
345	#126	C₂³	1	4	yes	—
346	#125	C₂³	1	1	yes	characteristic
347	#125	C₂³	1	2	yes	—
348	#125	C₂³	1	4	yes	—
349	#125	C₂³	1	4	yes	—
350	#125	C₂³	1	2	yes	—
351	#125	C₂³	1	2	yes	—
352	#125	C₂³	1	1	yes	characteristic
353	#125	C₂³	1	1	yes	characteristic
354	#125	C₂³	1	1	yes	characteristic
355	#125	C₂³	1	2	yes	—
356	#125	C₂³	1	4	yes	—
357	#125	C₂³	1	4	yes	—
358	#125	C₂³	1	2	yes	—
359	#125	C₂³	1	2	yes	—
360	#125	C₂³	1	2	yes	—
361	#125	C₂³	1	2	yes	—
362	#125	C₂³	1	4	yes	—
363	#125	C₂³	1	4	yes	—
364	#125	C₂³	1	4	yes	—
365	#125	C₂³	1	4	yes	—
366	#125	C₂³	1	2	yes	—
367	#125	C₂³	1	4	yes	—
368	#125	C₂³	1	4	yes	—
369	#125	C₂³	1	2	yes	—
370	#125	C₂³	1	2	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	2	yes	—
379	#125	C₂³	1	2	yes	—
380	#125	C₂³	1	2	yes	—
381	#125	C₂³	1	2	yes	—
382	#125	C₂³	1	4	yes	—
383	#125	C₂³	1	4	yes	—
384	#125	C₂³	1	4	yes	—
385	#125	C₂³	1	4	yes	—
386	#125	C₂³	1	4	yes	—
387	#125	C₂³	1	4	yes	—
388	#125	C₂³	1	4	yes	—
389	#125	C₂³	1	4	yes	—
390	#125	C₂³	1	4	yes	—
391	#125	C₂³	1	4	yes	—
392	#125	C₂³	1	4	yes	—
393	#125	C₂³	1	4	yes	—
394	#125	C₂³	1	4	yes	—
395	#125	C₂³	1	4	yes	—
396	#125	C₂³	1	4	yes	—
397	#124	C₂³	1	2	yes	—
398	#124	C₂³	1	2	yes	—
399	#124	C₂³	1	2	yes	—
400	#124	C₂³	1	2	yes	—
401	#124	C₂³	1	1	yes	characteristic
402	#124	C₂³	1	1	yes	characteristic
403	#124	C₂³	1	2	yes	—
404	#124	C₂³	1	2	yes	—
405	#124	C₂³	1	2	yes	—
406	#124	C₂³	1	4	yes	—
407	#124	C₂³	1	4	yes	—
408	#124	C₂³	1	2	yes	—
409	#124	C₂³	1	2	yes	—
410	#124	C₂³	1	4	yes	—
411	#124	C₂³	1	4	yes	—
412	#124	C₂³	1	4	yes	—
413	#124	C₂³	1	4	yes	—
414	#124	C₂³	1	4	yes	—
415	#124	C₂³	1	4	yes	—
416	#124	C₂³	1	2	yes	—
417	#124	C₂³	1	2	yes	—
418	#124	C₂³	1	2	yes	—
419	#124	C₂³	1	2	yes	—
420	#124	C₂³	1	4	yes	—
421	#124	C₂³	1	4	yes	—
422	#124	C₂³	1	4	yes	—
423	#124	C₂³	1	4	yes	—
424	#124	C₂³	1	4	yes	—
425	#124	C₂³	1	4	yes	—
426	#123	C₂³	1	4	yes	—
427	#123	C₂³	1	2	yes	—
428	#123	C₂³	1	4	yes	—
429	#123	C₂³	1	4	yes	—
430	#123	C₂³	1	2	yes	—
431	#123	C₂³	1	2	yes	—
432	#123	C₂³	1	4	yes	—
433	#123	C₂³	1	4	yes	—
434	#123	C₂³	1	2	yes	—
435	#123	C₂³	1	4	yes	—
436	#123	C₂³	1	4	yes	—
437	#123	C₂³	1	2	yes	—
438	#123	C₂³	1	4	yes	—
439	#123	C₂³	1	2	yes	—
440	#123	C₂³	1	2	yes	—
441	#123	C₂³	1	2	yes	—
442	#123	C₂³	1	4	yes	—
443	#123	C₂³	1	4	yes	—
444	#123	C₂³	1	4	yes	—
445	#123	C₂³	1	4	yes	—
446	#123	C₂³	1	4	yes	—
447	#123	C₂³	1	4	yes	—
448	#123	C₂³	1	4	yes	—
449	#123	C₂³	1	2	yes	—
450	#123	C₂³	1	2	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	#123	C₂³	1	4	yes	—
457	#123	C₂³	1	4	yes	—
458	#123	C₂³	1	4	yes	—
459	#123	C₂³	1	4	yes	—
460	#123	C₂³	1	4	yes	—
461	#123	C₂³	1	4	yes	—
462	#123	C₂³	1	4	yes	—
463	#123	C₂³	1	4	yes	—
464	#123	C₂³	1	4	yes	—
465	#123	C₂³	1	4	yes	—
466	#123	C₂³	1	4	yes	—
467	#123	C₂³	1	4	yes	—
468	#123	C₂³	1	4	yes	—
469	#123	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	2	yes	—
475	C₂²⋊Q₈	C₂³	1	2	yes	—
476	C₂²⋊Q₈	C₂³	1	2	yes	—
477	C₂²⋊Q₈	C₂³	1	4	yes	—
478	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
479	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
480	C₂²⋊Q₈	C₂³	1	2	yes	—
481	C₂²⋊Q₈	C₂³	1	2	yes	—
482	C₂²⋊Q₈	C₂³	1	4	yes	—
483	C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
489	C₂²⋊Q₈	C₂³	1	2	yes	—
490	C₂²⋊Q₈	C₂³	1	4	yes	—
491	C₂²⋊Q₈	C₂³	1	2	yes	—
492	C₂²⋊Q₈	C₂³	1	2	yes	—
493	C₂²⋊Q₈	C₂³	1	2	yes	—
494	C₂²⋊Q₈	C₂³	1	2	yes	—
495	C₂²⋊Q₈	C₂³	1	2	yes	—
496	C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
505	C₂²⋊Q₈	C₂³	1	2	yes	—
506	C₂²⋊Q₈	C₂³	1	2	yes	—
507	C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
512	C₂²⋊Q₈	C₂³	1	2	yes	—
513	C₂²⋊Q₈	C₂³	1	4	yes	—
514	C₂²⋊Q₈	C₂³	1	4	yes	—
515	C₂²⋊Q₈	C₂³	1	2	yes	—
516	C₂²⋊Q₈	C₂³	1	2	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	C₂²⋊Q₈	C₂³	1	4	yes	—
522	C₂²⋊Q₈	C₂³	1	4	yes	—
523	C₂²⋊Q₈	C₂³	1	4	yes	—
524	C₂²⋊Q₈	C₂³	1	4	yes	—
525	C₂²⋊Q₈	C₂³	1	4	yes	—
526	C₂²⋊Q₈	C₂³	1	4	yes	—
527	C₂²⋊Q₈	C₂³	1	4	yes	—
528	C₂²⋊Q₈	C₂³	1	4	yes	—
529	C₂²⋊Q₈	C₂³	1	4	yes	—
530	C₂²⋊Q₈	C₂³	1	4	yes	—
531	C₂²⋊Q₈	C₂³	1	4	yes	—
532	C₂²⋊Q₈	C₂³	1	4	yes	—
533	C₂²⋊Q₈	C₂³	1	4	yes	—
534	C₂²⋊Q₈	C₂³	1	4	yes	—
535	C₂²⋊Q₈	C₂³	1	4	yes	—
536	C₂²⋊Q₈	C₂³	1	4	yes	—
537	C₂²⋊Q₈	C₂³	1	4	yes	—
538	#121	C₂³	1	2	yes	—
539	#121	C₂³	1	2	yes	—
540	#121	C₂³	1	2	yes	—
541	#121	C₂³	1	2	yes	—
542	#121	C₂³	1	1	yes	characteristic
543	#121	C₂³	1	1	yes	characteristic
544	#121	C₂³	1	2	yes	—
545	#121	C₂³	1	4	yes	—
546	#121	C₂³	1	2	yes	—
547	#121	C₂³	1	4	yes	—
548	#121	C₂³	1	4	yes	—
549	#121	C₂³	1	4	yes	—
550	#121	C₂³	1	4	yes	—
551	#121	C₂³	1	4	yes	—
552	#121	C₂³	1	2	yes	—
553	#121	C₂³	1	2	yes	—
554	#121	C₂³	1	2	yes	—
555	#121	C₂³	1	2	yes	—
556	#121	C₂³	1	2	yes	—
557	#121	C₂³	1	4	yes	—
558	#121	C₂³	1	4	yes	—
559	#121	C₂³	1	4	yes	—
560	#121	C₂³	1	4	yes	—
561	#121	C₂³	1	4	yes	—
562	#121	C₂³	1	4	yes	—
563	#121	C₂³	1	4	yes	—
564	#121	C₂³	1	4	yes	—
565	#121	C₂³	1	4	yes	—
566	#121	C₂³	1	4	yes	—
567	#120	C₂³	1	4	yes	—
568	#120	C₂³	1	4	yes	—
569	#120	C₂³	1	4	yes	—
570	C₄×Q₈	C₂³	1	2	yes	—
571	C₄×Q₈	C₂³	1	2	yes	—
572	C₄×Q₈	C₂³	1	2	yes	—
573	C₄×Q₈	C₂³	1	4	yes	—
574	C₄×Q₈	C₂³	1	2	yes	—
575	C₄×Q₈	C₂³	1	4	yes	—
576	C₄×Q₈	C₂³	1	1	yes	characteristic
577	C₄×Q₈	C₂³	1	2	yes	—
578	C₄×Q₈	C₂³	1	2	yes	—
579	C₄×Q₈	C₂³	1	1	yes	characteristic
580	C₄×Q₈	C₂³	1	2	yes	—
581	C₄×Q₈	C₂³	1	2	yes	—
582	C₄×Q₈	C₂³	1	2	yes	—
583	C₄×Q₈	C₂³	1	2	yes	—
584	C₄×Q₈	C₂³	1	4	yes	—
585	C₄×Q₈	C₂³	1	4	yes	—
586	C₄×Q₈	C₂³	1	2	yes	—
587	C₄×Q₈	C₂³	1	2	yes	—
588	C₄×Q₈	C₂³	1	2	yes	—
589	C₄×Q₈	C₂³	1	4	yes	—
590	C₄×Q₈	C₂³	1	4	yes	—
591	C₄×Q₈	C₂³	1	2	yes	—
592	C₄×Q₈	C₂³	1	2	yes	—
593	C₄×Q₈	C₂³	1	4	yes	—
594	C₄×Q₈	C₂³	1	2	yes	—
595	C₄×Q₈	C₂³	1	1	yes	characteristic
596	C₄×Q₈	C₂³	1	1	yes	characteristic
597	C₄×Q₈	C₂³	1	2	yes	—
598	C₄×Q₈	C₂³	1	4	yes	—
599	C₄×Q₈	C₂³	1	2	yes	—
600	C₄×Q₈	C₂³	1	2	yes	—
601	C₄×Q₈	C₂³	1	2	yes	—
602	C₄×Q₈	C₂³	1	4	yes	—
603	C₄×Q₈	C₂³	1	4	yes	—
604	C₄×Q₈	C₂³	1	4	yes	—
605	C₄×Q₈	C₂³	1	4	yes	—
606	C₄×Q₈	C₂³	1	2	yes	—
607	C₄×Q₈	C₂³	1	2	yes	—
608	C₄×Q₈	C₂³	1	2	yes	—
609	C₄×Q₈	C₂³	1	4	yes	—
610	C₄×Q₈	C₂³	1	4	yes	—
611	C₄×Q₈	C₂³	1	4	yes	—
612	C₄×D₄	C₂³	1	2	yes	—
613	C₄×D₄	C₂³	1	1	yes	characteristic
614	C₄×D₄	C₂³	1	4	yes	—
615	C₄×D₄	C₂³	1	2	yes	—
616	C₄×D₄	C₂³	1	2	yes	—
617	C₄×D₄	C₂³	1	4	yes	—
618	C₄×D₄	C₂³	1	2	yes	—
619	C₄×D₄	C₂³	1	1	yes	characteristic
620	C₄×D₄	C₂³	1	2	yes	—
621	C₄×D₄	C₂³	1	2	yes	—
622	C₄×D₄	C₂³	1	2	yes	—
623	C₄×D₄	C₂³	1	4	yes	—
624	C₄×D₄	C₂³	1	2	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	2	yes	—
629	C₄×D₄	C₂³	1	2	yes	—
630	C₄×D₄	C₂³	1	2	yes	—
631	C₄×D₄	C₂³	1	2	yes	—
632	C₄×D₄	C₂³	1	1	yes	characteristic
633	C₄×D₄	C₂³	1	1	yes	characteristic
634	C₄×D₄	C₂³	1	2	yes	—
635	C₄×D₄	C₂³	1	4	yes	—
636	C₄×D₄	C₂³	1	4	yes	—
637	C₄×D₄	C₂³	1	4	yes	—
638	C₄×D₄	C₂³	1	4	yes	—
639	C₄×D₄	C₂³	1	4	yes	—
640	C₄×D₄	C₂³	1	4	yes	—
641	C₄×D₄	C₂³	1	4	yes	—
642	C₄×D₄	C₂³	1	4	yes	—
643	C₄×D₄	C₂³	1	2	yes	—
644	C₄×D₄	C₂³	1	4	yes	—
645	C₄×D₄	C₂³	1	4	yes	—
646	C₄×D₄	C₂³	1	4	yes	—
647	C₄×D₄	C₂³	1	4	yes	—
648	C₄×D₄	C₂³	1	2	yes	—
649	C₄×D₄	C₂³	1	4	yes	—
650	C₄×D₄	C₂³	1	4	yes	—
651	C₄×D₄	C₂³	1	4	yes	—
652	C₄×D₄	C₂³	1	4	yes	—
653	C₄×D₄	C₂³	1	4	yes	—
654	C₄×D₄	C₂³	1	4	yes	—
655	C₄×D₄	C₂³	1	4	yes	—
656	#117	C₂³	1	1	yes	characteristic
657	#117	C₂³	1	2	yes	—
658	#117	C₂³	1	4	yes	—
659	#117	C₂³	1	2	yes	—
660	#117	C₂³	1	1	yes	characteristic
661	#117	C₂³	1	1	yes	characteristic
662	#117	C₂³	1	4	yes	—
663	#117	C₂³	1	2	yes	—
664	#117	C₂³	1	2	yes	—
665	#117	C₂³	1	4	yes	—
666	#117	C₂³	1	4	yes	—
667	#117	C₂³	1	4	yes	—
668	#117	C₂³	1	4	yes	—
669	#117	C₂³	1	2	yes	—
670	#117	C₂³	1	4	yes	—
671	#117	C₂³	1	2	yes	—
672	#117	C₂³	1	4	yes	—
673	#117	C₂³	1	4	yes	—
674	#117	C₂³	1	4	yes	—
675	#117	C₂³	1	4	yes	—
676	#117	C₂³	1	4	yes	—
677	#117	C₂³	1	4	yes	—
678	#117	C₂³	1	4	yes	—
679	#117	C₂³	1	4	yes	—
680	#117	C₂³	1	2	yes	—
681	#117	C₂³	1	2	yes	—
682	#117	C₂³	1	4	yes	—
683	#117	C₂³	1	4	yes	—
684	#117	C₂³	1	4	yes	—
685	#117	C₂³	1	2	yes	—
686	#117	C₂³	1	2	yes	—
687	#117	C₂³	1	4	yes	—
688	#117	C₂³	1	4	yes	—
689	#117	C₂³	1	4	yes	—
690	C₂×C₄⋊C₄	C₂³	1	2	yes	—
691	C₂×C₄⋊C₄	C₂³	1	4	yes	—
692	C₂×C₄⋊C₄	C₂³	1	4	yes	—
693	C₂×C₄⋊C₄	C₂³	1	4	yes	—
694	C₂×C₄⋊C₄	C₂³	1	4	yes	—
695	C₂×C₄⋊C₄	C₂³	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³	1	2	yes	—
697	C₂×C₄⋊C₄	C₂³	1	4	yes	—
698	C₂×C₄⋊C₄	C₂³	1	4	yes	—
699	C₂×C₄⋊C₄	C₂³	1	4	yes	—
700	C₂×C₄⋊C₄	C₂³	1	4	yes	—
701	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
702	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
705	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
706	C₂×C₄²	C₂³	1	2	yes	—
707	C₂×C₄²	C₂³	1	4	yes	—
708	C₂×C₄²	C₂³	1	1	yes	characteristic
709	C₂×C₄²	C₂³	1	2	yes	—
710	C₂×C₄²	C₂³	1	4	yes	—
711	C₂×C₄²	C₂³	1	2	yes	—
712	C₂⁴	C₂⁴	1	2	yes	—
713	#41	—	4	2	no	—
714	#41	—	4	4	no	—
715	#41	—	4	4	no	—
716	#41	—	4	4	no	—
717	C₂×Q₈	—	4	2	no	—
718	C₂×Q₈	—	4	4	no	—
719	C₂×Q₈	—	4	4	no	—
720	C₂×Q₈	—	4	4	no	—
721	C₂×Q₈	C₂⁴	1	2	yes	—
722	C₂×Q₈	C₂⁴	1	2	yes	—
723	C₂×Q₈	C₂⁴	1	1	yes	characteristic
724	C₂×Q₈	C₂⁴	1	2	yes	—
725	C₂×Q₈	C₂⁴	1	2	yes	—
726	C₂×Q₈	C₂⁴	1	1	yes	characteristic
727	C₂×Q₈	C₂⁴	1	1	yes	characteristic
728	C₂×Q₈	C₂⁴	1	2	yes	—
729	C₂×Q₈	C₂⁴	1	2	yes	—
730	C₂×Q₈	C₂⁴	1	2	yes	—
731	C₂×Q₈	C₂⁴	1	4	yes	—
732	C₂×Q₈	C₂⁴	1	2	yes	—
733	C₂×Q₈	C₂⁴	1	2	yes	—
734	C₂×Q₈	C₂⁴	1	4	yes	—
735	C₂×Q₈	C₂⁴	1	2	yes	—
736	C₂×Q₈	C₂⁴	1	4	yes	—
737	C₂×Q₈	C₂⁴	1	4	yes	—
738	C₂×D₄	—	4	2	no	—
739	C₂×D₄	C₂⁴	1	2	yes	—
740	C₂×D₄	C₂⁴	1	1	yes	characteristic
741	C₂×D₄	C₂⁴	1	2	yes	—
742	C₂×D₄	C₂⁴	1	2	yes	—
743	C₂×D₄	C₂⁴	1	4	yes	—
744	C₂×D₄	C₂⁴	1	4	yes	—
745	C₂×D₄	C₂⁴	1	4	yes	—
746	C₂×D₄	C₂⁴	1	4	yes	—
747	C₂×D₄	C₂⁴	1	2	yes	—
748	C₂×D₄	C₂⁴	1	1	yes	characteristic
749	C₂×D₄	C₂⁴	1	1	yes	characteristic
750	C₂×D₄	C₂⁴	1	4	yes	—
751	C₂×D₄	C₂⁴	1	2	yes	—
752	C₂×D₄	C₂⁴	1	2	yes	—
753	C₂×D₄	C₂⁴	1	4	yes	—
754	C₂×D₄	C₂⁴	1	4	yes	—
755	C₂×D₄	C₂⁴	1	2	yes	—
756	C₂×D₄	C₂⁴	1	4	yes	—
757	C₂²×C₄	C₂⁴	1	2	yes	—
758	C₂²×C₄	C₂⁴	1	2	yes	—
759	C₂²×C₄	C₂⁴	1	1	yes	characteristic
760	C₂²×C₄	C₂⁴	1	2	yes	—
761	C₂²×C₄	C₂⁴	1	1	yes	characteristic
762	C₂²×C₄	C₂⁴	1	1	yes	characteristic
763	C₂²×C₄	C₂⁴	1	4	yes	—
764	C₂²×C₄	C₂⁴	1	4	yes	—
765	C₂²×C₄	C₂⁴	1	4	yes	—
766	C₂²×C₄	C₂⁴	1	4	yes	—
767	C₂²×C₄	C₂⁴	1	2	yes	—
768	C₂²×C₄	C₂⁴	1	2	yes	—
769	C₂²×C₄	C₂⁴	1	2	yes	—
770	C₂²×C₄	C₂⁴	1	2	yes	—
771	C₂²×C₄	C₂⁴	1	2	yes	—
772	C₂²×C₄	C₂⁴	1	2	yes	—
773	C₂²×C₄	C₂⁴	1	4	yes	—
774	C₂²×C₄	C₂⁴	1	2	yes	—
775	C₂²×C₄	C₂⁴	1	4	yes	—
776	C₂²×C₄	C₂⁴	1	4	yes	—
777	C₂²×C₄	C₂⁴	1	4	yes	—
778	C₂²×C₄	C₂⁴	1	4	yes	—
779	C₂²×C₄	C₂⁴	1	4	yes	—
780	C₂²×C₄	C₂⁴	1	4	yes	—
781	C₂²×C₄	C₂⁴	1	4	yes	—
782	C₄⋊C₄	C₂⁴	1	4	yes	—
783	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
784	C₄⋊C₄	C₂⁴	1	4	yes	—
785	C₄⋊C₄	C₂⁴	1	2	yes	—
786	C₄⋊C₄	C₂⁴	1	2	yes	—
787	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
788	C₄⋊C₄	C₂⁴	1	2	yes	—
789	C₄⋊C₄	C₂⁴	1	2	yes	—
790	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
791	C₄⋊C₄	C₂⁴	1	4	yes	—
792	C₄⋊C₄	C₂⁴	1	4	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	4	yes	—
798	C₄⋊C₄	C₂⁴	1	4	yes	—
799	C₄⋊C₄	C₂⁴	1	4	yes	—
800	C₄⋊C₄	C₂⁴	1	4	yes	—
801	C₄⋊C₄	C₂⁴	1	2	yes	—
802	C₄⋊C₄	C₂⁴	1	4	yes	—
803	C₄⋊C₄	C₂⁴	1	2	yes	—
804	C₄⋊C₄	C₂⁴	1	4	yes	—
805	C₄⋊C₄	C₂⁴	1	4	yes	—
806	C₄⋊C₄	C₂⁴	1	4	yes	—
807	C₄⋊C₄	C₂⁴	1	4	yes	—
808	C₄⋊C₄	C₂⁴	1	4	yes	—
809	C₄⋊C₄	C₂⁴	1	4	yes	—
810	C₄⋊C₄	C₂⁴	1	4	yes	—
811	C₄⋊C₄	C₂⁴	1	4	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	2	yes	—
818	C₄⋊C₄	C₂⁴	1	2	yes	—
819	C₄⋊C₄	C₂⁴	1	2	yes	—
820	C₄⋊C₄	C₂⁴	1	4	yes	—
821	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
822	C₄⋊C₄	C₂⁴	1	2	yes	—
823	C₄⋊C₄	C₂⁴	1	2	yes	—
824	C₄⋊C₄	C₂⁴	1	2	yes	—
825	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
826	C₄⋊C₄	C₂⁴	1	4	yes	—
827	C₄⋊C₄	C₂⁴	1	2	yes	—
828	C₄⋊C₄	C₂⁴	1	4	yes	—
829	C₄⋊C₄	C₂⁴	1	2	yes	—
830	C₄⋊C₄	C₂⁴	1	2	yes	—
831	C₄⋊C₄	C₂⁴	1	2	yes	—
832	C₄⋊C₄	C₂⁴	1	2	yes	—
833	C₄⋊C₄	C₂⁴	1	2	yes	—
834	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
835	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
836	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
837	C₄⋊C₄	C₂⁴	1	2	yes	—
838	C₄⋊C₄	C₂⁴	1	4	yes	—
839	C₄⋊C₄	C₂⁴	1	2	yes	—
840	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
841	C₄⋊C₄	C₂⁴	1	4	yes	—
842	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
843	C₄⋊C₄	C₂⁴	1	4	yes	—
844	C₄⋊C₄	C₂⁴	1	4	yes	—
845	C₄⋊C₄	C₂⁴	1	2	yes	—
846	C₄⋊C₄	C₂⁴	1	2	yes	—
847	C₄⋊C₄	C₂⁴	1	4	yes	—
848	C₄⋊C₄	C₂⁴	1	2	yes	—
849	C₄⋊C₄	C₂⁴	1	4	yes	—
850	C₄⋊C₄	C₂⁴	1	2	yes	—
851	C₄⋊C₄	C₂⁴	1	2	yes	—
852	C₄⋊C₄	C₂⁴	1	2	yes	—
853	C₄⋊C₄	C₂⁴	1	4	yes	—
854	C₄⋊C₄	C₂⁴	1	4	yes	—
855	C₄⋊C₄	C₂⁴	1	4	yes	—
856	C₄⋊C₄	C₂⁴	1	2	yes	—
857	C₄⋊C₄	C₂⁴	1	2	yes	—
858	C₄⋊C₄	C₂⁴	1	4	yes	—
859	C₄⋊C₄	C₂⁴	1	4	yes	—
860	C₄⋊C₄	C₂⁴	1	4	yes	—
861	C₄⋊C₄	C₂⁴	1	2	yes	—
862	C₄⋊C₄	C₂⁴	1	4	yes	—
863	C₄⋊C₄	C₂⁴	1	2	yes	—
864	C₄⋊C₄	C₂⁴	1	2	yes	—
865	C₄⋊C₄	C₂⁴	1	2	yes	—
866	C₄⋊C₄	C₂⁴	1	2	yes	—
867	C₄⋊C₄	C₂⁴	1	2	yes	—
868	C₂²⋊C₄	C₂⁴	1	2	yes	—
869	C₂²⋊C₄	C₂⁴	1	2	yes	—
870	C₂²⋊C₄	C₂⁴	1	2	yes	—
871	C₂²⋊C₄	C₂⁴	1	2	yes	—
872	C₂²⋊C₄	C₂⁴	1	4	yes	—
873	C₂²⋊C₄	C₂⁴	1	4	yes	—
874	C₂²⋊C₄	C₂⁴	1	4	yes	—
875	C₂²⋊C₄	C₂⁴	1	4	yes	—
876	C₂²⋊C₄	C₂⁴	1	4	yes	—
877	C₂²⋊C₄	C₂⁴	1	4	yes	—
878	C₂²⋊C₄	C₂⁴	1	4	yes	—
879	C₂²⋊C₄	C₂⁴	1	4	yes	—
880	C₂²⋊C₄	C₂⁴	1	4	yes	—
881	C₂²⋊C₄	C₂⁴	1	4	yes	—
882	C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
890	C₂²⋊C₄	C₂⁴	1	2	yes	—
891	C₂²⋊C₄	C₂⁴	1	4	yes	—
892	C₂²⋊C₄	C₂⁴	1	4	yes	—
893	C₂²⋊C₄	C₂⁴	1	4	yes	—
894	C₂²⋊C₄	C₂⁴	1	4	yes	—
895	C₂²⋊C₄	C₂⁴	1	2	yes	—
896	C₂²⋊C₄	C₂⁴	1	4	yes	—
897	C₂²⋊C₄	C₂⁴	1	4	yes	—
898	C₂²⋊C₄	C₂⁴	1	2	yes	—
899	C₂²⋊C₄	C₂⁴	1	4	yes	—
900	C₂²⋊C₄	C₂⁴	1	4	yes	—
901	C₂²⋊C₄	C₂⁴	1	4	yes	—
902	C₂²⋊C₄	C₂⁴	1	4	yes	—
903	C₂²⋊C₄	C₂⁴	1	4	yes	—
904	C₂²⋊C₄	C₂⁴	1	2	yes	—
905	C₂²⋊C₄	C₂⁴	1	2	yes	—
906	C₂²⋊C₄	C₂⁴	1	4	yes	—
907	C₂²⋊C₄	C₂⁴	1	2	yes	—
908	C₂²⋊C₄	C₂⁴	1	2	yes	—
909	C₂²⋊C₄	C₂⁴	1	2	yes	—
910	C₂²⋊C₄	C₂⁴	1	2	yes	—
911	C₂²⋊C₄	C₂⁴	1	2	yes	—
912	C₂²⋊C₄	C₂⁴	1	4	yes	—
913	C₂²⋊C₄	C₂⁴	1	4	yes	—
914	C₂²⋊C₄	C₂⁴	1	4	yes	—
915	C₂²⋊C₄	C₂⁴	1	4	yes	—
916	C₂²⋊C₄	C₂⁴	1	2	yes	—
917	C₂²⋊C₄	C₂⁴	1	2	yes	—
918	C₂²⋊C₄	C₂⁴	1	2	yes	—
919	C₂²⋊C₄	C₂⁴	1	4	yes	—
920	C₂²⋊C₄	C₂⁴	1	2	yes	—
921	C₄²	C₂⁴	1	1	yes	characteristic
922	C₄²	C₂⁴	1	2	yes	—
923	C₄²	C₂⁴	1	2	yes	—
924	C₄²	C₂⁴	1	2	yes	—
925	C₄²	C₂⁴	1	4	yes	—
926	C₄²	C₂⁴	1	2	yes	—
927	C₄²	C₂⁴	1	4	yes	—
928	C₄²	C₂⁴	1	4	yes	—
929	C₄²	C₂⁴	1	4	yes	—
930	C₄²	C₂⁴	1	2	yes	—
931	C₄²	C₂⁴	1	2	yes	—
932	C₄²	C₂⁴	1	1	yes	characteristic
933	C₄²	C₂⁴	1	1	yes	characteristic
934	C₄²	C₂⁴	1	2	yes	—
935	C₄²	C₂⁴	1	2	yes	—
936	C₄²	C₂⁴	1	2	yes	—
937	C₄²	C₂⁴	1	2	yes	—
938	C₄²	C₂⁴	1	4	yes	—
939	C₄²	C₂⁴	1	1	yes	characteristic
940	C₄²	C₂⁴	1	2	yes	—
941	C₄²	C₂⁴	1	4	yes	—
942	C₄²	C₂⁴	1	4	yes	—
943	C₄²	C₂⁴	1	4	yes	—
944	C₄²	C₂⁴	1	4	yes	—
945	C₄²	C₂⁴	1	4	yes	—
946	C₄²	C₂⁴	1	4	yes	—
947	C₄²	C₂⁴	1	4	yes	—
948	C₄²	C₂⁴	1	4	yes	—
949	C₄²	C₂⁴	1	4	yes	—
950	C₂³	—	4	2	no	—
951	C₂³	—	4	2	no	—
952	C₂³	—	4	2	no	—
953	C₂³	C₂⁵	1	1	yes	characteristic
954	C₂³	C₂⁵	1	4	yes	—
955	C₂³	C₂⁵	1	2	yes	—
956	C₂³	C₂⁵	1	2	yes	—
957	C₂³	C₂⁵	1	2	yes	—
958	Q₈	—	2	4	no	—
959	Q₈	—	2	2	no	—
960	Q₈	—	2	4	no	—
961	Q₈	—	2	4	no	—
962	Q₈	—	4	4	no	—
963	Q₈	—	4	2	no	—
964	Q₈	—	4	4	no	—
965	Q₈	—	4	4	no	—
966	Q₈	—	4	2	no	—
967	Q₈	—	4	2	no	—
968	Q₈	—	4	1	no	—
969	Q₈	—	4	1	no	—
970	Q₈	—	4	2	no	—
971	Q₈	—	4	2	no	—
972	Q₈	—	4	4	no	—
973	Q₈	—	4	2	no	—
974	Q₈	—	4	2	no	—
975	D₄	—	2	4	no	—
976	D₄	—	2	2	no	—
977	D₄	—	4	2	no	—
978	D₄	—	4	2	no	—
979	D₄	—	4	4	no	—
980	D₄	—	4	2	no	—
981	D₄	—	4	1	no	—
982	D₄	—	4	1	no	—
983	D₄	—	4	4	no	—
984	D₄	—	4	2	no	—
985	D₄	—	4	4	no	—
986	D₄	—	4	4	no	—
987	D₄	—	4	4	no	—
988	D₄	—	4	2	no	—
989	D₄	—	4	4	no	—
990	D₄	—	4	4	no	—
991	D₄	—	4	4	no	—
992	D₄	—	4	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	4	no	—
995	C₂×C₄	—	2	4	no	—
996	C₂×C₄	—	4	4	no	—
997	C₂×C₄	—	4	2	no	—
998	C₂×C₄	—	4	4	no	—
999	C₂×C₄	—	4	4	no	—
1000	C₂×C₄	—	4	4	no	—
1001	C₂×C₄	—	4	4	no	—
1002	C₂×C₄	—	4	2	no	—
1003	C₂×C₄	—	4	2	no	—
1004	C₂×C₄	—	4	2	no	—
1005	C₂×C₄	—	4	1	no	—
1006	C₂×C₄	—	4	1	no	—
1007	C₂×C₄	—	4	2	no	—
1008	C₂×C₄	—	4	4	no	—
1009	C₂×C₄	—	4	2	no	—
1010	C₂×C₄	—	4	4	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	4	4	no	—
1013	C₂×C₄	—	4	2	no	—
1014	C₂×C₄	—	4	4	no	—
1015	C₂×C₄	—	4	4	no	—
1016	C₂×C₄	—	4	2	no	—
1017	C₂×C₄	—	4	4	no	—
1018	C₂×C₄	C₂⁵	1	2	yes	—
1019	C₂×C₄	C₂⁵	1	1	yes	characteristic
1020	C₂×C₄	C₂⁵	1	1	yes	characteristic
1021	C₂×C₄	C₂⁵	1	2	yes	—
1022	C₂×C₄	C₂⁵	1	2	yes	—
1023	C₂×C₄	C₂⁵	1	4	yes	—
1024	C₂×C₄	C₂⁵	1	2	yes	—
1025	C₂×C₄	C₂⁵	1	2	yes	—
1026	C₂×C₄	C₂⁵	1	2	yes	—
1027	C₂×C₄	C₂⁵	1	2	yes	—
1028	C₂×C₄	C₂⁵	1	2	yes	—
1029	C₂×C₄	C₂⁵	1	2	yes	—
1030	C₂×C₄	C₂⁵	1	4	yes	—
1031	C₂×C₄	C₂⁵	1	1	yes	characteristic
1032	C₂×C₄	C₂⁵	1	1	yes	characteristic
1033	C₂×C₄	C₂⁵	1	2	yes	—
1034	C₂×C₄	C₂⁵	1	2	yes	—
1035	C₂×C₄	C₂⁵	1	4	yes	—
1036	C₂×C₄	C₂⁵	1	2	yes	—
1037	C₂×C₄	C₂⁵	1	4	yes	—
1038	C₂×C₄	C₂⁵	1	1	yes	characteristic
1039	C₂×C₄	C₂⁵	1	4	yes	—
1040	C₂×C₄	C₂⁵	1	2	yes	—
1041	C₂×C₄	C₂⁵	1	1	yes	characteristic
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	1	no	—
1045	C₂²	—	2	2	no	—
1046	C₂²	—	2	4	no	—
1047	C₂²	—	2	2	no	—
1048	C₂²	—	2	2	no	—
1049	C₂²	—	2	4	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	1	no	—
1056	C₂²	—	2	1	no	—
1057	C₂²	—	16	2	no	—
1058	C₂²	C₂⁶	1	1	yes	characteristic
1059	C₄	—	2	2	no	—
1060	C₄	—	2	1	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	4	no	—
1063	C₄	—	2	2	no	—
1064	C₄	—	2	4	no	—
1065	C₄	—	2	4	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	2	1	no	—
1068	C₄	—	2	4	no	—
1069	C₄	—	2	2	no	—
1070	C₄	—	2	2	no	—
1071	C₄	—	2	1	no	—
1072	C₄	—	2	2	no	—
1073	C₄	—	2	2	no	—
1074	C₄	—	2	2	no	—
1075	C₄	—	2	2	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	2	4	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	2	2	no	—
1080	C₄	—	2	1	no	—
1081	C₄	—	2	1	no	—
1082	C₄	#585	1	2	yes	—
1083	C₂	—	4	2	no	—
1084	C₂	—	4	2	no	—
1085	C₂	—	4	2	no	—
1086	C₂	—	4	4	no	—
1087	C₂	—	4	1	no	—
1088	C₂	C₂×#585	1	1	yes	characteristic
1089	C₂	2₋¹⁺⁶	1	1	yes	characteristic
1090	C₂	2₋¹⁺⁶	1	1	yes	characteristic

	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. #3567	C₂	semidirect
2. #3566	C₂	semidirect
3. #3566	C₂	semidirect
4. #3565	C₂	semidirect
5. #3564	C₂	semidirect
6. #3564	C₂	semidirect
7. #3563	C₂	semidirect
8. #3562	C₂	semidirect
9. #3561	C₂	semidirect
10. #3561	C₂	semidirect
11. #3557	C₂	semidirect
12. #3557	C₂	semidirect
13. #3556	C₂	semidirect
14. #3555	C₂	semidirect
15. #3554	C₂	semidirect
16. #3553	C₂	semidirect
17. #3552	C₂	semidirect
18. #3552	C₂	semidirect
19. #3531	C₂	semidirect
20. #3531	C₂	semidirect
21. #3524	C₂	semidirect
22. #3523	C₂	semidirect
23. #3521	C₂	semidirect
24. #3518	C₂	semidirect
25. #3516	C₂	semidirect
26. #3515	C₂	semidirect
27. #3510	C₂	semidirect
28. #3509	C₂	semidirect
29. #3507	C₂	semidirect
30. #564	C₂²	semidirect
31. #564	C₂²	semidirect
32. #564	C₂²	semidirect
38. #563	C₂²	semidirect
39. #563	C₂²	semidirect
40. #563	C₂²	semidirect
41. #563	C₂²	semidirect
42. #563	C₂²	semidirect
43. #563	C₂²	semidirect
44. #563	C₂²	semidirect
45. #563	C₂²	semidirect
46. #563	C₂²	semidirect
47. #563	C₂²	semidirect
48. #563	C₂²	semidirect
54. #562	C₂²	semidirect
55. #562	C₂²	semidirect
56. #562	C₂²	semidirect
61. #559	C₂²	semidirect
62. #559	C₂²	semidirect
63. Q₈²	C₂²	semidirect
64. #557	C₂²	semidirect
65. #557	C₂²	semidirect
66. #557	C₂²	semidirect
67. #557	C₂²	semidirect
68. #557	C₂²	semidirect
69. #557	C₂²	semidirect
70. #557	C₂²	semidirect
71. #557	C₂²	semidirect
72. #557	C₂²	semidirect
73. #557	C₂²	semidirect
74. #557	C₂²	semidirect
84. #556	C₂²	semidirect
85. #556	C₂²	semidirect
86. #556	C₂²	semidirect
87. #556	C₂²	semidirect
88. #556	C₂²	semidirect
89. #556	C₂²	semidirect
91. #555	C₂²	semidirect
92. #555	C₂²	semidirect
94. #554	C₂²	semidirect
95. #554	C₂²	semidirect
96. #554	C₂²	semidirect
97. #554	C₂²	semidirect
98. #554	C₂²	semidirect
99. #554	C₂²	semidirect
100. #554	C₂²	semidirect
106. #553	C₂²	semidirect
107. #553	C₂²	semidirect
108. #553	C₂²	semidirect
113. #552	C₂²	semidirect
114. #552	C₂²	semidirect
115. #552	C₂²	semidirect
116. #552	C₂²	semidirect
117. #552	C₂²	semidirect
118. #552	C₂²	semidirect
119. #552	C₂²	semidirect
120. #552	C₂²	semidirect
121. #552	C₂²	semidirect
122. #552	C₂²	semidirect
123. #552	C₂²	semidirect
124. #552	C₂²	semidirect
125. #552	C₂²	semidirect
126. #552	C₂²	semidirect
137. D₄×Q₈	C₂²	semidirect
138. D₄×Q₈	C₂²	semidirect
139. D₄×Q₈	C₂²	semidirect
144. #548	C₂²	semidirect
147. #547	C₂²	semidirect
150. #544	C₂²	semidirect
151. #544	C₂²	semidirect
152. #544	C₂²	semidirect
164. #542	C₂²	semidirect
165. #542	C₂²	semidirect
166. #542	C₂²	semidirect
167. #542	C₂²	semidirect
168. #542	C₂²	semidirect
169. #542	C₂²	semidirect
170. #542	C₂²	semidirect
176. #541	C₂²	semidirect
177. #541	C₂²	semidirect
178. #541	C₂²	semidirect
179. #541	C₂²	semidirect
180. #541	C₂²	semidirect
181. #541	C₂²	semidirect
182. #541	C₂²	semidirect
183. #541	C₂²	semidirect
184. #541	C₂²	semidirect
185. #541	C₂²	semidirect
188. #540	C₂²	semidirect
189. #540	C₂²	semidirect
194. #539	C₂²	semidirect
195. #539	C₂²	semidirect
196. #539	C₂²	semidirect
197. #539	C₂²	semidirect
198. #539	C₂²	semidirect
199. #539	C₂²	semidirect
200. #539	C₂²	semidirect
201. #539	C₂²	semidirect
202. #539	C₂²	semidirect
212. #536	C₂²	semidirect
217. #533	C₂²	semidirect
218. #533	C₂²	semidirect
219. #533	C₂²	semidirect
220. #533	C₂²	semidirect
221. #533	C₂²	semidirect
222. #533	C₂²	semidirect
223. #533	C₂²	semidirect
225. C₂×C₄⋊Q₈	C₂²	semidirect
236. #529	C₂²	semidirect
237. #529	C₂²	semidirect
238. #529	C₂²	semidirect
239. #529	C₂²	semidirect
240. #529	C₂²	semidirect
241. #529	C₂²	semidirect
242. #529	C₂²	semidirect
243. #529	C₂²	semidirect
244. #529	C₂²	semidirect
245. #529	C₂²	semidirect
246. #529	C₂²	semidirect
248. C₂×#125	C₂²	semidirect
251. #520	C₂²	semidirect
253. #519	C₂²	semidirect
254. #519	C₂²	semidirect
258. C₂×C₄×Q₈	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3567	2
#3566	2
#3565	2
#3564	2
#3563	2
#3562	2
#3561	2
#3557	2
#3556	2
#3555	2
#3554	2
#3553	2
#3552	2
#3531	2
#3524	2
#3523	2
#3521	2
#3518	2
#3516	2
#3515	2
#3510	2
#3509	2
#3507	2