Subgroups — #62827

Order 256.

3313 conjugacy classes of subgroups.

The subgroup lattice has 1296 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3566	C₂	1	4	yes	maximal, complemented
2	#3566	C₂	1	4	yes	maximal, complemented
3	#3565	C₂	1	2	yes	maximal, complemented
4	#3562	C₂	1	2	yes	maximal, complemented
5	#3555	C₂	1	1	yes	maximal, characteristic, complemented
6	#3554	C₂	1	1	yes	maximal, characteristic, complemented
7	#3547	C₂	1	1	yes	maximal, characteristic, complemented
8	#3546	C₂	1	1	yes	maximal, characteristic, complemented
9	#3542	C₂	1	2	yes	maximal, complemented
10	#3541	C₂	1	2	yes	maximal, complemented
11	#3533	C₂	1	4	yes	maximal, complemented
12	#3524	C₂	1	2	yes	maximal, complemented
13	#3524	C₂	1	2	yes	maximal, complemented
14	#3523	C₂	1	1	yes	maximal, characteristic, complemented
15	#3522	C₂	1	1	yes	maximal, characteristic, complemented
16	#3521	C₂	1	2	yes	maximal, complemented
17	#3521	C₂	1	4	yes	maximal, complemented
18	#3521	C₂	1	2	yes	maximal, complemented
19	#3520	C₂	1	1	yes	maximal, characteristic, complemented
20	#3519	C₂	1	1	yes	maximal, characteristic, complemented
21	#3518	C₂	1	1	yes	maximal, characteristic, complemented
22	#3517	C₂	1	1	yes	maximal, characteristic, complemented
23	#3515	C₂	1	1	yes	maximal, characteristic, complemented
24	#3515	C₂	1	2	yes	maximal, complemented
25	#3514	C₂	1	2	yes	maximal, complemented
26	#3514	C₂	1	1	yes	maximal, characteristic, complemented
27	#3512	C₂	1	2	yes	maximal, complemented
28	#3510	C₂	1	2	yes	maximal, complemented
29	#3506	C₂	1	2	yes	maximal, complemented
30	#3505	C₂	1	2	yes	maximal, complemented
31	#3495	C₂	1	2	yes	maximal, complemented
32	#3494	C₂	1	2	yes	maximal, complemented
33	#3444	C₂	1	1	yes	maximal, characteristic, complemented
34	#3444	C₂	1	1	yes	maximal, characteristic, complemented
35	C₂×#529	C₂	1	1	yes	maximal, characteristic, complemented
36	#563	C₂²	1	4	yes	complemented
37	#563	C₂²	1	4	yes	complemented
38	#562	C₂²	1	4	yes	complemented
39	#562	C₂²	1	4	yes	complemented
40	#562	C₂²	1	4	yes	complemented
41	#562	C₂²	1	4	yes	complemented
42	#560	C₂²	1	4	yes	complemented
43	#560	C₂²	1	4	yes	complemented
44	#559	C₂²	1	4	yes	complemented
45	#559	C₂²	1	4	yes	complemented
46	#559	C₂²	1	4	yes	complemented
47	#559	C₂²	1	1	yes	characteristic, complemented
48	#559	C₂²	1	2	yes	complemented
49	#559	C₂²	1	2	yes	complemented
50	Q₈²	C₂²	1	1	yes	characteristic, complemented
51	#557	C₂²	1	1	yes	characteristic, complemented
52	#557	C₂²	1	2	yes	complemented
53	#557	C₂²	1	1	yes	characteristic, complemented
54	#557	C₂²	1	2	yes	complemented
55	#556	C₂²	1	4	yes	complemented
56	#556	C₂²	1	2	yes	complemented
57	#556	C₂²	1	2	yes	complemented
58	#556	C₂²	1	4	yes	complemented
59	#556	C₂²	1	1	yes	characteristic, complemented
60	#556	C₂²	1	2	yes	complemented
61	#556	C₂²	1	2	yes	complemented
62	#556	C₂²	1	4	yes	complemented
63	#556	C₂²	1	1	yes	characteristic, complemented
64	#556	C₂²	1	2	yes	complemented
65	#555	C₂²	1	4	yes	complemented
66	#555	C₂²	1	2	yes	complemented
67	#555	C₂²	1	2	yes	complemented
68	#555	C₂²	1	4	yes	complemented
69	#555	C₂²	1	1	yes	characteristic, complemented
70	#555	C₂²	1	2	yes	complemented
71	#554	C₂²	1	4	yes	complemented
72	#554	C₂²	1	1	yes	characteristic, complemented
73	#554	C₂²	1	2	yes	complemented
74	#554	C₂²	1	2	yes	complemented
75	#554	C₂²	1	1	yes	characteristic, complemented
76	#554	C₂²	1	2	yes	complemented
77	#553	C₂²	1	2	yes	—
78	#553	C₂²	1	2	yes	—
79	#553	C₂²	1	4	yes	complemented
80	#553	C₂²	1	4	yes	complemented
81	#553	C₂²	1	4	yes	complemented
82	#553	C₂²	1	2	yes	complemented
83	#553	C₂²	1	2	yes	complemented
84	#553	C₂²	1	4	yes	complemented
85	#553	C₂²	1	4	yes	complemented
86	#553	C₂²	1	4	yes	complemented
87	#553	C₂²	1	4	yes	complemented
88	#553	C₂²	1	4	yes	complemented
89	#553	C₂²	1	4	yes	complemented
90	#553	C₂²	1	2	yes	complemented
91	#553	C₂²	1	4	yes	complemented
92	#553	C₂²	1	2	yes	complemented
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	2	yes	complemented
98	#552	C₂²	1	2	yes	complemented
99	#552	C₂²	1	4	yes	complemented
100	#552	C₂²	1	2	yes	complemented
101	#552	C₂²	1	4	yes	complemented
102	#552	C₂²	1	4	yes	complemented
103	#552	C₂²	1	2	yes	complemented
104	#552	C₂²	1	2	yes	complemented
105	#552	C₂²	1	4	yes	complemented
106	#552	C₂²	1	2	yes	complemented
107	#552	C₂²	1	4	yes	complemented
108	#551	C₂²	1	4	yes	complemented
109	#551	C₂²	1	4	yes	complemented
110	#551	C₂²	1	4	yes	complemented
111	#551	C₂²	1	4	yes	complemented
112	#551	C₂²	1	4	yes	complemented
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	4	yes	complemented
118	#551	C₂²	1	4	yes	complemented
119	#550	C₂²	1	2	yes	complemented
120	#550	C₂²	1	2	yes	complemented
121	#550	C₂²	1	1	yes	characteristic, complemented
122	#550	C₂²	1	1	yes	characteristic, complemented
123	#550	C₂²	1	2	yes	complemented
124	D₄×Q₈	C₂²	1	2	yes	complemented
125	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
126	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
127	#548	C₂²	1	2	yes	complemented
128	#548	C₂²	1	2	yes	complemented
129	#548	C₂²	1	2	yes	complemented
130	#548	C₂²	1	2	yes	complemented
131	#548	C₂²	1	2	yes	complemented
132	#548	C₂²	1	2	yes	complemented
133	#547	C₂²	1	4	yes	complemented
134	#547	C₂²	1	2	yes	complemented
135	#547	C₂²	1	2	yes	complemented
136	#547	C₂²	1	1	yes	characteristic, complemented
137	#547	C₂²	1	2	yes	complemented
138	#547	C₂²	1	1	yes	characteristic, complemented
139	#547	C₂²	1	2	yes	complemented
140	#547	C₂²	1	4	yes	complemented
141	#546	C₂²	1	2	yes	—
142	#546	C₂²	1	2	yes	—
143	#546	C₂²	1	4	yes	—
144	#546	C₂²	1	4	yes	complemented
145	#546	C₂²	1	4	yes	complemented
146	#546	C₂²	1	2	yes	complemented
147	#546	C₂²	1	2	yes	complemented
148	#546	C₂²	1	2	yes	complemented
149	#546	C₂²	1	2	yes	complemented
150	D₄²	C₂²	1	2	yes	—
151	D₄²	C₂²	1	1	yes	characteristic, complemented
152	#544	C₂²	1	2	yes	complemented
153	#544	C₂²	1	2	yes	complemented
154	#542	C₂²	1	2	yes	—
155	#542	C₂²	1	2	yes	complemented
156	#542	C₂²	1	2	yes	complemented
157	#542	C₂²	1	2	yes	complemented
158	#542	C₂²	1	2	yes	complemented
159	#542	C₂²	1	2	yes	complemented
160	#542	C₂²	1	2	yes	complemented
161	#542	C₂²	1	2	yes	complemented
162	#542	C₂²	1	4	yes	complemented
163	#542	C₂²	1	4	yes	complemented
164	#542	C₂²	1	4	yes	complemented
165	#542	C₂²	1	4	yes	complemented
166	#542	C₂²	1	4	yes	complemented
167	#542	C₂²	1	4	yes	complemented
168	#541	C₂²	1	2	yes	complemented
169	#541	C₂²	1	2	yes	complemented
170	#541	C₂²	1	2	yes	complemented
171	#541	C₂²	1	2	yes	complemented
172	#541	C₂²	1	4	yes	complemented
173	#541	C₂²	1	4	yes	complemented
174	#541	C₂²	1	4	yes	complemented
175	#540	C₂²	1	2	yes	complemented
176	#540	C₂²	1	2	yes	complemented
177	#540	C₂²	1	2	yes	complemented
178	#540	C₂²	1	2	yes	complemented
179	#540	C₂²	1	4	yes	complemented
180	#540	C₂²	1	4	yes	complemented
181	#540	C₂²	1	4	yes	complemented
182	#539	C₂²	1	4	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	#538	C₂²	1	4	yes	complemented
190	#538	C₂²	1	4	yes	complemented
191	#538	C₂²	1	4	yes	complemented
192	#538	C₂²	1	4	yes	complemented
193	#538	C₂²	1	4	yes	complemented
194	#538	C₂²	1	4	yes	complemented
195	#538	C₂²	1	4	yes	complemented
196	#538	C₂²	1	4	yes	complemented
197	#538	C₂²	1	4	yes	complemented
198	#537	C₂²	1	2	yes	complemented
199	#537	C₂²	1	2	yes	complemented
200	#536	C₂²	1	2	yes	complemented
201	#536	C₂²	1	2	yes	complemented
202	#535	C₂²	1	2	yes	—
203	#535	C₂²	1	2	yes	complemented
204	#535	C₂²	1	4	yes	complemented
205	#534	C₂²	1	4	yes	complemented
206	#533	C₂²	1	1	yes	characteristic, complemented
207	#533	C₂²	1	1	yes	characteristic, complemented
208	#533	C₂²	1	1	yes	characteristic, complemented
209	#533	C₂²	1	1	yes	characteristic, complemented
210	#533	C₂²	1	1	yes	characteristic, complemented
211	#533	C₂²	1	1	yes	characteristic, complemented
212	#533	C₂²	1	2	yes	complemented
213	#533	C₂²	1	2	yes	complemented
214	#532	C₂²	1	1	yes	characteristic
215	#532	C₂²	1	1	yes	characteristic
216	#532	C₂²	1	1	yes	characteristic, complemented
217	#532	C₂²	1	1	yes	characteristic, complemented
218	#532	C₂²	1	1	yes	characteristic, complemented
219	#532	C₂²	1	1	yes	characteristic, complemented
220	#532	C₂²	1	2	yes	complemented
221	#532	C₂²	1	2	yes	complemented
222	#529	C₂²	1	1	yes	characteristic
223	#529	C₂²	1	1	yes	characteristic
224	#529	C₂²	1	1	yes	characteristic
225	#529	C₂²	1	1	yes	characteristic
226	#529	C₂²	1	1	yes	characteristic
227	#529	C₂²	1	2	yes	—
228	#529	C₂²	1	1	yes	characteristic, complemented
229	#529	C₂²	1	1	yes	characteristic, complemented
230	#529	C₂²	1	2	yes	complemented
231	#529	C₂²	1	1	yes	characteristic, complemented
232	#529	C₂²	1	1	yes	characteristic, complemented
233	#529	C₂²	1	2	yes	complemented
234	#529	C₂²	1	2	yes	complemented
235	#529	C₂²	1	2	yes	complemented
236	#529	C₂²	1	2	yes	complemented
237	#529	C₂²	1	2	yes	complemented
238	#529	C₂²	1	2	yes	complemented
239	#529	C₂²	1	1	yes	characteristic, complemented
240	#529	C₂²	1	2	yes	complemented
241	#529	C₂²	1	1	yes	characteristic, complemented
242	#529	C₂²	1	2	yes	complemented
243	#529	C₂²	1	1	yes	characteristic, complemented
244	#529	C₂²	1	2	yes	complemented
245	#529	C₂²	1	2	yes	complemented
246	#529	C₂²	1	2	yes	complemented
247	#529	C₂²	1	2	yes	complemented
248	#529	C₂²	1	2	yes	complemented
249	#529	C₂²	1	2	yes	complemented
250	#529	C₂²	1	2	yes	complemented
251	#529	C₂²	1	2	yes	complemented
252	#529	C₂²	1	2	yes	complemented
253	#529	C₂²	1	2	yes	complemented
254	#529	C₂²	1	4	yes	complemented
255	#529	C₂²	1	4	yes	complemented
256	#529	C₂²	1	4	yes	complemented
257	C₂×#126	C₂²	1	2	yes	complemented
258	C₂×#126	C₂²	1	4	yes	complemented
259	C₂×#125	C₂²	1	1	yes	characteristic, complemented
260	C₂×#125	C₂²	1	2	yes	complemented
261	C₂×#124	C₂²	1	1	yes	characteristic
262	C₂×#124	C₂²	1	2	yes	complemented
263	#525	C₂²	1	1	yes	characteristic
264	#525	C₂²	1	2	yes	—
265	#525	C₂²	1	2	yes	complemented
266	#525	C₂²	1	1	yes	characteristic, complemented
267	#525	C₂²	1	2	yes	complemented
268	#525	C₂²	1	2	yes	complemented
269	#525	C₂²	1	2	yes	complemented
270	#525	C₂²	1	2	yes	complemented
271	#525	C₂²	1	2	yes	complemented
272	C₂×#123	C₂²	1	2	yes	complemented
273	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
274	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
275	C₂×#121	C₂²	1	1	yes	characteristic
276	C₂×#121	C₂²	1	2	yes	—
277	#520	C₂²	1	2	yes	complemented
278	#520	C₂²	1	2	yes	complemented
279	#520	C₂²	1	4	yes	complemented
280	#520	C₂²	1	2	yes	complemented
281	#520	C₂²	1	2	yes	complemented
282	#519	C₂²	1	2	yes	complemented
283	#519	C₂²	1	2	yes	complemented
284	#518	C₂²	1	2	yes	complemented
285	#518	C₂²	1	4	yes	complemented
286	#518	C₂²	1	2	yes	complemented
287	C₄×#41	C₂²	1	2	yes	complemented
288	C₄×#41	C₂²	1	2	yes	complemented
289	C₄×#41	C₂²	1	1	yes	characteristic, complemented
290	C₄×#41	C₂²	1	1	yes	characteristic, complemented
291	C₄×#41	C₂²	1	2	yes	complemented
292	C₄×#41	C₂²	1	2	yes	complemented
293	C₄×#41	C₂²	1	2	yes	complemented
294	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
295	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
296	C₂×C₄×D₄	C₂²	1	2	yes	complemented
297	C₂×#117	C₂²	1	2	yes	complemented
298	C₂²×C₄²	C₂²	1	1	yes	characteristic, complemented
299	C₂×#41	C₂³	1	1	yes	characteristic
300	C₂×#41	C₂³	1	2	yes	—
301	C₂×#41	C₂³	1	2	yes	—
302	C₂×#41	C₂³	1	2	yes	—
303	C₂×#41	C₂³	1	2	yes	—
304	C₂×#41	C₂³	1	2	yes	—
305	C₂×#41	C₂³	1	1	yes	characteristic
306	C₂×#41	C₂³	1	2	yes	—
307	C₂×#41	C₂³	1	2	yes	—
308	C₂×#41	C₂³	1	4	yes	—
309	C₂×#41	C₂³	1	2	yes	—
310	C₂×#41	C₂³	1	2	yes	—
311	C₂²×Q₈	C₂³	1	1	yes	characteristic
312	C₂²×Q₈	C₂³	1	2	yes	—
313	C₂²×Q₈	C₂³	1	2	yes	—
314	C₂²×D₄	C₂³	1	1	yes	characteristic
315	C₂²×D₄	C₂³	1	2	yes	—
316	C₂²×D₄	C₂³	1	4	yes	—
317	C₂²×D₄	C₂³	1	2	yes	—
318	C₂²×D₄	C₂³	1	2	yes	—
319	C₂³×C₄	C₂³	1	2	yes	—
320	C₂³×C₄	C₂³	1	1	yes	characteristic
321	C₂³×C₄	C₂³	1	1	yes	characteristic
322	C₂³×C₄	C₂³	1	1	yes	characteristic
323	C₄⋊Q₈	C₂³	1	1	yes	characteristic
324	C₄⋊Q₈	C₂³	1	1	yes	characteristic
325	C₄⋊Q₈	C₂³	1	1	yes	characteristic
326	C₄⋊Q₈	C₂³	1	1	yes	characteristic
327	C₄⋊Q₈	C₂³	1	1	yes	characteristic
328	C₄⋊Q₈	C₂³	1	1	yes	characteristic
329	C₄⋊Q₈	C₂³	1	2	yes	—
330	C₄⋊Q₈	C₂³	1	2	yes	—
331	C₄⋊Q₈	C₂³	1	2	yes	—
332	C₄⋊Q₈	C₂³	1	2	yes	—
333	C₄⋊Q₈	C₂³	1	2	yes	—
334	C₄⋊Q₈	C₂³	1	2	yes	—
335	C₄⋊Q₈	C₂³	1	4	yes	—
336	C₄⋊Q₈	C₂³	1	4	yes	—
337	C₄⋊Q₈	C₂³	1	4	yes	—
338	C₄⋊Q₈	C₂³	1	4	yes	—
339	#127	C₂³	1	1	yes	characteristic
340	#127	C₂³	1	1	yes	characteristic
341	#127	C₂³	1	2	yes	—
342	#127	C₂³	1	2	yes	—
343	#127	C₂³	1	4	yes	—
344	#127	C₂³	1	4	yes	—
345	#126	C₂³	1	2	yes	—
346	#126	C₂³	1	2	yes	—
347	#126	C₂³	1	2	yes	—
348	#126	C₂³	1	2	yes	—
349	#126	C₂³	1	2	yes	—
350	#126	C₂³	1	2	yes	—
351	#126	C₂³	1	2	yes	—
352	#126	C₂³	1	2	yes	—
353	#126	C₂³	1	2	yes	—
354	#126	C₂³	1	4	yes	—
355	#126	C₂³	1	4	yes	—
356	#126	C₂³	1	4	yes	—
357	#126	C₂³	1	4	yes	—
358	#126	C₂³	1	4	yes	—
359	#126	C₂³	1	4	yes	—
360	#126	C₂³	1	2	yes	—
361	#126	C₂³	1	4	yes	—
362	#126	C₂³	1	2	yes	—
363	#126	C₂³	1	4	yes	—
364	#126	C₂³	1	2	yes	—
365	#126	C₂³	1	4	yes	—
366	#126	C₂³	1	4	yes	—
367	#126	C₂³	1	4	yes	—
368	#126	C₂³	1	4	yes	—
369	#126	C₂³	1	4	yes	—
370	#126	C₂³	1	4	yes	—
371	#126	C₂³	1	4	yes	—
372	#126	C₂³	1	4	yes	—
373	#126	C₂³	1	4	yes	—
374	#126	C₂³	1	4	yes	—
375	#126	C₂³	1	4	yes	—
376	#126	C₂³	1	4	yes	—
377	#126	C₂³	1	4	yes	—
378	#126	C₂³	1	4	yes	—
379	#126	C₂³	1	4	yes	—
380	#126	C₂³	1	4	yes	—
381	#126	C₂³	1	4	yes	—
382	#126	C₂³	1	4	yes	—
383	#125	C₂³	1	1	yes	characteristic
384	#125	C₂³	1	1	yes	characteristic
385	#125	C₂³	1	1	yes	characteristic
386	#125	C₂³	1	1	yes	characteristic
387	#125	C₂³	1	2	yes	—
388	#125	C₂³	1	2	yes	—
389	#125	C₂³	1	2	yes	—
390	#125	C₂³	1	4	yes	—
391	#125	C₂³	1	4	yes	—
392	#125	C₂³	1	2	yes	—
393	#125	C₂³	1	2	yes	—
394	#125	C₂³	1	1	yes	characteristic
395	#125	C₂³	1	2	yes	—
396	#125	C₂³	1	2	yes	—
397	#125	C₂³	1	2	yes	—
398	#125	C₂³	1	2	yes	—
399	#125	C₂³	1	2	yes	—
400	#125	C₂³	1	1	yes	characteristic
401	#125	C₂³	1	4	yes	—
402	#125	C₂³	1	4	yes	—
403	#125	C₂³	1	4	yes	—
404	#125	C₂³	1	2	yes	—
405	#125	C₂³	1	4	yes	—
406	#125	C₂³	1	4	yes	—
407	#125	C₂³	1	4	yes	—
408	#125	C₂³	1	4	yes	—
409	#125	C₂³	1	4	yes	—
410	#125	C₂³	1	4	yes	—
411	#125	C₂³	1	4	yes	—
412	#125	C₂³	1	4	yes	—
413	#125	C₂³	1	4	yes	—
414	#124	C₂³	1	1	yes	characteristic
415	#124	C₂³	1	1	yes	characteristic
416	#124	C₂³	1	1	yes	characteristic
417	#124	C₂³	1	2	yes	—
418	#124	C₂³	1	1	yes	characteristic
419	#124	C₂³	1	2	yes	—
420	#124	C₂³	1	2	yes	—
421	#124	C₂³	1	4	yes	—
422	#124	C₂³	1	4	yes	—
423	#124	C₂³	1	2	yes	—
424	#124	C₂³	1	2	yes	—
425	#124	C₂³	1	1	yes	characteristic
426	#124	C₂³	1	2	yes	—
427	#124	C₂³	1	2	yes	—
428	#124	C₂³	1	2	yes	—
429	#124	C₂³	1	2	yes	—
430	#124	C₂³	1	2	yes	—
431	#124	C₂³	1	1	yes	characteristic
432	#124	C₂³	1	2	yes	—
433	#124	C₂³	1	4	yes	—
434	#124	C₂³	1	4	yes	—
435	#124	C₂³	1	4	yes	—
436	#124	C₂³	1	4	yes	—
437	#124	C₂³	1	4	yes	—
438	#124	C₂³	1	4	yes	—
439	#124	C₂³	1	4	yes	—
440	#124	C₂³	1	4	yes	—
441	#124	C₂³	1	4	yes	—
442	#124	C₂³	1	4	yes	—
443	#124	C₂³	1	4	yes	—
444	#124	C₂³	1	4	yes	—
445	#124	C₂³	1	4	yes	—
446	#124	C₂³	1	4	yes	—
447	#123	C₂³	1	2	yes	—
448	#123	C₂³	1	2	yes	—
449	#123	C₂³	1	2	yes	—
450	#123	C₂³	1	2	yes	—
451	#123	C₂³	1	2	yes	—
452	#123	C₂³	1	2	yes	—
453	#123	C₂³	1	2	yes	—
454	#123	C₂³	1	2	yes	—
455	#123	C₂³	1	2	yes	—
456	#123	C₂³	1	4	yes	—
457	#123	C₂³	1	2	yes	—
458	#123	C₂³	1	2	yes	—
459	#123	C₂³	1	2	yes	—
460	#123	C₂³	1	4	yes	—
461	#123	C₂³	1	2	yes	—
462	#123	C₂³	1	4	yes	—
463	#123	C₂³	1	2	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	#123	C₂³	1	4	yes	—
471	#123	C₂³	1	4	yes	—
472	#123	C₂³	1	4	yes	—
473	#123	C₂³	1	4	yes	—
474	#123	C₂³	1	4	yes	—
475	#123	C₂³	1	4	yes	—
476	#123	C₂³	1	4	yes	—
477	#123	C₂³	1	4	yes	—
478	#123	C₂³	1	4	yes	—
479	#123	C₂³	1	4	yes	—
480	#123	C₂³	1	4	yes	—
481	#123	C₂³	1	4	yes	—
482	#123	C₂³	1	4	yes	—
483	#123	C₂³	1	4	yes	—
484	#123	C₂³	1	4	yes	—
485	#123	C₂³	1	4	yes	—
486	#123	C₂³	1	4	yes	—
487	#123	C₂³	1	4	yes	—
488	#123	C₂³	1	4	yes	—
489	#123	C₂³	1	4	yes	—
490	#123	C₂³	1	4	yes	—
491	#123	C₂³	1	4	yes	—
492	#123	C₂³	1	4	yes	—
493	#123	C₂³	1	4	yes	—
494	#123	C₂³	1	4	yes	—
495	#123	C₂³	1	4	yes	—
496	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
497	C₂²⋊Q₈	C₂³	1	2	yes	—
498	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
499	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
500	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
501	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
502	C₂²⋊Q₈	C₂³	1	2	yes	—
503	C₂²⋊Q₈	C₂³	1	2	yes	—
504	C₂²⋊Q₈	C₂³	1	4	yes	—
505	C₂²⋊Q₈	C₂³	1	4	yes	—
506	C₂²⋊Q₈	C₂³	1	2	yes	—
507	C₂²⋊Q₈	C₂³	1	2	yes	—
508	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
509	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
510	C₂²⋊Q₈	C₂³	1	2	yes	—
511	C₂²⋊Q₈	C₂³	1	2	yes	—
512	C₂²⋊Q₈	C₂³	1	2	yes	—
513	C₂²⋊Q₈	C₂³	1	2	yes	—
514	C₂²⋊Q₈	C₂³	1	2	yes	—
515	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
516	C₂²⋊Q₈	C₂³	1	2	yes	—
517	C₂²⋊Q₈	C₂³	1	2	yes	—
518	C₂²⋊Q₈	C₂³	1	2	yes	—
519	C₂²⋊Q₈	C₂³	1	2	yes	—
520	C₂²⋊Q₈	C₂³	1	2	yes	—
521	C₂²⋊Q₈	C₂³	1	2	yes	—
522	C₂²⋊Q₈	C₂³	1	2	yes	—
523	C₂²⋊Q₈	C₂³	1	2	yes	—
524	C₂²⋊Q₈	C₂³	1	2	yes	—
525	C₂²⋊Q₈	C₂³	1	2	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	C₂²⋊Q₈	C₂³	1	4	yes	—
539	C₂²⋊Q₈	C₂³	1	4	yes	—
540	C₂²⋊Q₈	C₂³	1	4	yes	—
541	C₂²⋊Q₈	C₂³	1	4	yes	—
542	C₂²⋊Q₈	C₂³	1	4	yes	—
543	C₂²⋊Q₈	C₂³	1	4	yes	—
544	C₂²⋊Q₈	C₂³	1	4	yes	—
545	C₂²⋊Q₈	C₂³	1	4	yes	—
546	C₂²⋊Q₈	C₂³	1	4	yes	—
547	C₂²⋊Q₈	C₂³	1	4	yes	—
548	#121	C₂³	1	1	yes	characteristic
549	#121	C₂³	1	2	yes	—
550	#121	C₂³	1	1	yes	characteristic
551	#121	C₂³	1	1	yes	characteristic
552	#121	C₂³	1	1	yes	characteristic
553	#121	C₂³	1	2	yes	—
554	#121	C₂³	1	1	yes	characteristic
555	#121	C₂³	1	2	yes	—
556	#121	C₂³	1	4	yes	—
557	#121	C₂³	1	4	yes	—
558	#121	C₂³	1	2	yes	—
559	#121	C₂³	1	2	yes	—
560	#121	C₂³	1	1	yes	characteristic
561	#121	C₂³	1	2	yes	—
562	#121	C₂³	1	1	yes	characteristic
563	#121	C₂³	1	2	yes	—
564	#121	C₂³	1	2	yes	—
565	#121	C₂³	1	2	yes	—
566	#121	C₂³	1	2	yes	—
567	#121	C₂³	1	2	yes	—
568	#121	C₂³	1	2	yes	—
569	#121	C₂³	1	1	yes	characteristic
570	#121	C₂³	1	2	yes	—
571	#121	C₂³	1	2	yes	—
572	#121	C₂³	1	2	yes	—
573	#121	C₂³	1	2	yes	—
574	#121	C₂³	1	2	yes	—
575	#121	C₂³	1	2	yes	—
576	#121	C₂³	1	2	yes	—
577	#121	C₂³	1	2	yes	—
578	#121	C₂³	1	4	yes	—
579	#121	C₂³	1	4	yes	—
580	#121	C₂³	1	4	yes	—
581	#121	C₂³	1	4	yes	—
582	#121	C₂³	1	4	yes	—
583	#121	C₂³	1	4	yes	—
584	#121	C₂³	1	4	yes	—
585	#121	C₂³	1	4	yes	—
586	#121	C₂³	1	4	yes	—
587	#121	C₂³	1	4	yes	—
588	#121	C₂³	1	4	yes	—
589	#121	C₂³	1	4	yes	—
590	#121	C₂³	1	4	yes	—
591	#121	C₂³	1	4	yes	—
592	#121	C₂³	1	4	yes	—
593	#121	C₂³	1	4	yes	—
594	#121	C₂³	1	4	yes	—
595	#121	C₂³	1	4	yes	—
596	#121	C₂³	1	4	yes	—
597	#121	C₂³	1	4	yes	—
598	#121	C₂³	1	4	yes	—
599	#121	C₂³	1	4	yes	—
600	#121	C₂³	1	4	yes	—
601	#121	C₂³	1	4	yes	—
602	#121	C₂³	1	4	yes	—
603	#121	C₂³	1	4	yes	—
604	#120	C₂³	1	2	yes	—
605	#120	C₂³	1	4	yes	—
606	#120	C₂³	1	4	yes	—
607	#120	C₂³	1	2	yes	—
608	#120	C₂³	1	4	yes	—
609	#120	C₂³	1	4	yes	—
610	#120	C₂³	1	4	yes	—
611	#120	C₂³	1	4	yes	—
612	#120	C₂³	1	4	yes	—
613	#120	C₂³	1	4	yes	—
614	#120	C₂³	1	4	yes	—
615	C₄×Q₈	C₂³	1	1	yes	characteristic
616	C₄×Q₈	C₂³	1	1	yes	characteristic
617	C₄×Q₈	C₂³	1	1	yes	characteristic
618	C₄×Q₈	C₂³	1	1	yes	characteristic
619	C₄×Q₈	C₂³	1	2	yes	—
620	C₄×Q₈	C₂³	1	2	yes	—
621	C₄×Q₈	C₂³	1	1	yes	characteristic
622	C₄×Q₈	C₂³	1	2	yes	—
623	C₄×Q₈	C₂³	1	2	yes	—
624	C₄×Q₈	C₂³	1	1	yes	characteristic
625	C₄×Q₈	C₂³	1	1	yes	characteristic
626	C₄×Q₈	C₂³	1	2	yes	—
627	C₄×Q₈	C₂³	1	2	yes	—
628	C₄×Q₈	C₂³	1	2	yes	—
629	C₄×Q₈	C₂³	1	2	yes	—
630	C₄×Q₈	C₂³	1	1	yes	characteristic
631	C₄×Q₈	C₂³	1	2	yes	—
632	C₄×Q₈	C₂³	1	2	yes	—
633	C₄×Q₈	C₂³	1	2	yes	—
634	C₄×Q₈	C₂³	1	2	yes	—
635	C₄×Q₈	C₂³	1	2	yes	—
636	C₄×Q₈	C₂³	1	2	yes	—
637	C₄×Q₈	C₂³	1	2	yes	—
638	C₄×Q₈	C₂³	1	4	yes	—
639	C₄×Q₈	C₂³	1	4	yes	—
640	C₄×Q₈	C₂³	1	4	yes	—
641	C₄×Q₈	C₂³	1	2	yes	—
642	C₄×Q₈	C₂³	1	4	yes	—
643	C₄×Q₈	C₂³	1	2	yes	—
644	C₄×Q₈	C₂³	1	2	yes	—
645	C₄×Q₈	C₂³	1	2	yes	—
646	C₄×Q₈	C₂³	1	4	yes	—
647	C₄×Q₈	C₂³	1	2	yes	—
648	C₄×Q₈	C₂³	1	4	yes	—
649	C₄×D₄	C₂³	1	1	yes	characteristic
650	C₄×D₄	C₂³	1	1	yes	characteristic
651	C₄×D₄	C₂³	1	1	yes	characteristic
652	C₄×D₄	C₂³	1	2	yes	—
653	C₄×D₄	C₂³	1	2	yes	—
654	C₄×D₄	C₂³	1	1	yes	characteristic
655	C₄×D₄	C₂³	1	2	yes	—
656	C₄×D₄	C₂³	1	2	yes	—
657	C₄×D₄	C₂³	1	2	yes	—
658	C₄×D₄	C₂³	1	2	yes	—
659	C₄×D₄	C₂³	1	2	yes	—
660	C₄×D₄	C₂³	1	2	yes	—
661	C₄×D₄	C₂³	1	2	yes	—
662	C₄×D₄	C₂³	1	2	yes	—
663	C₄×D₄	C₂³	1	2	yes	—
664	C₄×D₄	C₂³	1	1	yes	characteristic
665	C₄×D₄	C₂³	1	4	yes	—
666	C₄×D₄	C₂³	1	2	yes	—
667	C₄×D₄	C₂³	1	2	yes	—
668	C₄×D₄	C₂³	1	2	yes	—
669	C₄×D₄	C₂³	1	1	yes	characteristic
670	C₄×D₄	C₂³	1	2	yes	—
671	C₄×D₄	C₂³	1	2	yes	—
672	C₄×D₄	C₂³	1	2	yes	—
673	C₄×D₄	C₂³	1	4	yes	—
674	C₄×D₄	C₂³	1	4	yes	—
675	C₄×D₄	C₂³	1	2	yes	—
676	C₄×D₄	C₂³	1	2	yes	—
677	C₄×D₄	C₂³	1	2	yes	—
678	C₄×D₄	C₂³	1	4	yes	—
679	C₄×D₄	C₂³	1	2	yes	—
680	C₄×D₄	C₂³	1	2	yes	—
681	C₄×D₄	C₂³	1	4	yes	—
682	C₄×D₄	C₂³	1	4	yes	—
683	C₄×D₄	C₂³	1	2	yes	—
684	C₄×D₄	C₂³	1	2	yes	—
685	C₄×D₄	C₂³	1	1	yes	characteristic
686	C₄×D₄	C₂³	1	2	yes	—
687	C₄×D₄	C₂³	1	2	yes	—
688	C₄×D₄	C₂³	1	2	yes	—
689	C₄×D₄	C₂³	1	2	yes	—
690	C₄×D₄	C₂³	1	2	yes	—
691	C₄×D₄	C₂³	1	2	yes	—
692	C₄×D₄	C₂³	1	1	yes	characteristic
693	C₄×D₄	C₂³	1	2	yes	—
694	C₄×D₄	C₂³	1	2	yes	—
695	C₄×D₄	C₂³	1	4	yes	—
696	C₄×D₄	C₂³	1	4	yes	—
697	C₄×D₄	C₂³	1	2	yes	—
698	C₄×D₄	C₂³	1	4	yes	—
699	C₄×D₄	C₂³	1	4	yes	—
700	C₄×D₄	C₂³	1	4	yes	—
701	C₄×D₄	C₂³	1	4	yes	—
702	C₄×D₄	C₂³	1	4	yes	—
703	C₄×D₄	C₂³	1	4	yes	—
704	C₄×D₄	C₂³	1	2	yes	—
705	C₄×D₄	C₂³	1	2	yes	—
706	C₄×D₄	C₂³	1	4	yes	—
707	C₄×D₄	C₂³	1	2	yes	—
708	C₄×D₄	C₂³	1	4	yes	—
709	C₄×D₄	C₂³	1	4	yes	—
710	C₄×D₄	C₂³	1	4	yes	—
711	C₄×D₄	C₂³	1	4	yes	—
712	C₄×D₄	C₂³	1	4	yes	—
713	C₄×D₄	C₂³	1	4	yes	—
714	C₄×D₄	C₂³	1	4	yes	—
715	C₄×D₄	C₂³	1	4	yes	—
716	C₄×D₄	C₂³	1	4	yes	—
717	C₄×D₄	C₂³	1	2	yes	—
718	C₄×D₄	C₂³	1	2	yes	—
719	C₄×D₄	C₂³	1	4	yes	—
720	C₄×D₄	C₂³	1	4	yes	—
721	C₄×D₄	C₂³	1	2	yes	—
722	C₄×D₄	C₂³	1	2	yes	—
723	C₄×D₄	C₂³	1	4	yes	—
724	C₄×D₄	C₂³	1	4	yes	—
725	#117	C₂³	1	2	yes	—
726	#117	C₂³	1	2	yes	—
727	#117	C₂³	1	2	yes	—
728	#117	C₂³	1	2	yes	—
729	#117	C₂³	1	2	yes	—
730	#117	C₂³	1	2	yes	—
731	#117	C₂³	1	2	yes	—
732	#117	C₂³	1	2	yes	—
733	#117	C₂³	1	2	yes	—
734	#117	C₂³	1	2	yes	—
735	#117	C₂³	1	1	yes	characteristic
736	#117	C₂³	1	2	yes	—
737	#117	C₂³	1	2	yes	—
738	#117	C₂³	1	2	yes	—
739	#117	C₂³	1	2	yes	—
740	#117	C₂³	1	2	yes	—
741	#117	C₂³	1	1	yes	characteristic
742	#117	C₂³	1	2	yes	—
743	#117	C₂³	1	2	yes	—
744	#117	C₂³	1	4	yes	—
745	#117	C₂³	1	4	yes	—
746	#117	C₂³	1	4	yes	—
747	#117	C₂³	1	2	yes	—
748	#117	C₂³	1	2	yes	—
749	#117	C₂³	1	2	yes	—
750	#117	C₂³	1	4	yes	—
751	#117	C₂³	1	4	yes	—
752	#117	C₂³	1	2	yes	—
753	#117	C₂³	1	2	yes	—
754	#117	C₂³	1	4	yes	—
755	#117	C₂³	1	4	yes	—
756	#117	C₂³	1	4	yes	—
757	#117	C₂³	1	4	yes	—
758	#117	C₂³	1	2	yes	—
759	#117	C₂³	1	4	yes	—
760	#117	C₂³	1	4	yes	—
761	#117	C₂³	1	4	yes	—
762	#117	C₂³	1	4	yes	—
763	#117	C₂³	1	4	yes	—
764	#117	C₂³	1	4	yes	—
765	#117	C₂³	1	4	yes	—
766	C₂×C₄⋊C₄	C₂³	1	2	yes	—
767	C₂×C₄⋊C₄	C₂³	1	2	yes	—
768	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
769	C₂×C₄⋊C₄	C₂³	1	2	yes	—
770	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
771	C₂×C₄⋊C₄	C₂³	1	2	yes	—
772	C₂×C₄⋊C₄	C₂³	1	2	yes	—
773	C₂×C₄⋊C₄	C₂³	1	4	yes	—
774	C₂×C₄⋊C₄	C₂³	1	2	yes	—
775	C₂×C₄⋊C₄	C₂³	1	2	yes	—
776	C₂×C₄⋊C₄	C₂³	1	2	yes	—
777	C₂×C₄⋊C₄	C₂³	1	4	yes	—
778	C₂×C₄⋊C₄	C₂³	1	4	yes	—
779	C₂×C₄⋊C₄	C₂³	1	4	yes	—
780	C₂×C₄⋊C₄	C₂³	1	4	yes	—
781	C₂×C₄⋊C₄	C₂³	1	4	yes	—
782	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
785	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
787	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
788	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
789	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
790	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
791	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
793	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
794	C₂×C₄²	C₂³	1	1	yes	characteristic
795	C₂×C₄²	C₂³	1	2	yes	—
796	C₂×C₄²	C₂³	1	1	yes	characteristic
797	C₂×C₄²	C₂³	1	2	yes	—
798	C₂×C₄²	C₂³	1	2	yes	—
799	C₂×C₄²	C₂³	1	4	yes	—
800	C₂×C₄²	C₂³	1	1	yes	characteristic
801	C₂×C₄²	C₂³	1	1	yes	characteristic
802	C₂×C₄²	C₂³	1	1	yes	characteristic
803	C₂×C₄²	C₂³	1	1	yes	characteristic
804	C₂×C₄²	C₂³	1	1	yes	characteristic
805	C₂×C₄²	C₂³	1	1	yes	characteristic
806	C₂×C₄²	C₂³	1	1	yes	characteristic
807	C₂×C₄²	C₂³	1	1	yes	characteristic
808	C₂×C₄²	C₂³	1	1	yes	characteristic
809	C₂×C₄²	C₂³	1	1	yes	characteristic
810	C₂⁴	C₂⁴	1	2	yes	—
811	C₂⁴	C₂⁴	1	1	yes	characteristic
812	C₂⁴	C₂⁴	1	4	yes	—
813	#41	—	4	4	no	—
814	#41	—	4	4	no	—
815	#41	—	4	4	no	—
816	#41	—	4	8	no	—
817	#41	—	4	4	no	—
818	#41	—	4	4	no	—
819	#41	—	4	2	no	—
820	#41	—	4	4	no	—
821	#41	—	4	4	no	—
822	#41	—	4	2	no	—
823	#41	—	4	4	no	—
824	#41	—	4	4	no	—
825	C₂×Q₈	—	4	2	no	—
826	C₂×Q₈	—	4	4	no	—
827	C₂×Q₈	—	4	4	no	—
828	C₂×Q₈	C₂⁴	1	1	yes	characteristic
829	C₂×Q₈	C₂⁴	1	1	yes	characteristic
830	C₂×Q₈	C₂⁴	1	1	yes	characteristic
831	C₂×Q₈	C₂⁴	1	2	yes	—
832	C₂×Q₈	C₂⁴	1	2	yes	—
833	C₂×Q₈	C₂⁴	1	1	yes	characteristic
834	C₂×Q₈	C₂⁴	1	4	yes	—
835	C₂×Q₈	C₂⁴	1	2	yes	—
836	C₂×Q₈	C₂⁴	1	2	yes	—
837	C₂×Q₈	C₂⁴	1	2	yes	—
838	C₂×Q₈	C₂⁴	1	2	yes	—
839	C₂×Q₈	C₂⁴	1	4	yes	—
840	C₂×Q₈	C₂⁴	1	4	yes	—
841	C₂×D₄	—	4	2	no	—
842	C₂×D₄	—	4	4	no	—
843	C₂×D₄	—	4	4	no	—
844	C₂×D₄	—	4	4	no	—
845	C₂×D₄	—	4	8	no	—
846	C₂×D₄	C₂⁴	1	2	yes	—
847	C₂×D₄	C₂⁴	1	4	yes	—
848	C₂×D₄	C₂⁴	1	2	yes	—
849	C₂×D₄	C₂⁴	1	1	yes	characteristic
850	C₂×D₄	C₂⁴	1	1	yes	characteristic
851	C₂×D₄	C₂⁴	1	1	yes	characteristic
852	C₂×D₄	C₂⁴	1	2	yes	—
853	C₂×D₄	C₂⁴	1	2	yes	—
854	C₂×D₄	C₂⁴	1	1	yes	characteristic
855	C₂×D₄	C₂⁴	1	2	yes	—
856	C₂×D₄	C₂⁴	1	2	yes	—
857	C₂×D₄	C₂⁴	1	4	yes	—
858	C₂×D₄	C₂⁴	1	2	yes	—
859	C₂×D₄	C₂⁴	1	2	yes	—
860	C₂×D₄	C₂⁴	1	2	yes	—
861	C₂×D₄	C₂⁴	1	2	yes	—
862	C₂×D₄	C₂⁴	1	4	yes	—
863	C₂×D₄	C₂⁴	1	4	yes	—
864	C₂×D₄	C₂⁴	1	2	yes	—
865	C₂×D₄	C₂⁴	1	4	yes	—
866	C₂×D₄	C₂⁴	1	4	yes	—
867	C₂×D₄	C₂⁴	1	2	yes	—
868	C₂×D₄	C₂⁴	1	4	yes	—
869	C₂×D₄	C₂⁴	1	4	yes	—
870	C₂×D₄	C₂⁴	1	4	yes	—
871	C₂×D₄	C₂⁴	1	4	yes	—
872	C₂×D₄	C₂⁴	1	2	yes	—
873	C₂×D₄	C₂⁴	1	2	yes	—
874	C₂×D₄	C₂⁴	1	4	yes	—
875	C₂×D₄	C₂⁴	1	2	yes	—
876	C₂×D₄	C₂⁴	1	4	yes	—
877	C₂×D₄	C₂⁴	1	2	yes	—
878	C₂²×C₄	—	4	4	no	—
879	C₂²×C₄	—	4	2	no	—
880	C₂²×C₄	—	4	2	no	—
881	C₂²×C₄	—	4	2	no	—
882	C₂²×C₄	C₂⁴	1	1	yes	characteristic
883	C₂²×C₄	C₂⁴	1	1	yes	characteristic
884	C₂²×C₄	C₂⁴	1	1	yes	characteristic
885	C₂²×C₄	C₂⁴	1	1	yes	characteristic
886	C₂²×C₄	C₂⁴	1	1	yes	characteristic
887	C₂²×C₄	C₂⁴	1	1	yes	characteristic
888	C₂²×C₄	C₂⁴	1	1	yes	characteristic
889	C₂²×C₄	C₂⁴	1	1	yes	characteristic
890	C₂²×C₄	C₂⁴	1	2	yes	—
891	C₂²×C₄	C₂⁴	1	2	yes	—
892	C₂²×C₄	C₂⁴	1	2	yes	—
893	C₂²×C₄	C₂⁴	1	2	yes	—
894	C₂²×C₄	C₂⁴	1	2	yes	—
895	C₂²×C₄	C₂⁴	1	1	yes	characteristic
896	C₂²×C₄	C₂⁴	1	1	yes	characteristic
897	C₂²×C₄	C₂⁴	1	1	yes	characteristic
898	C₂²×C₄	C₂⁴	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴	1	1	yes	characteristic
902	C₂²×C₄	C₂⁴	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴	1	1	yes	characteristic
904	C₂²×C₄	C₂⁴	1	1	yes	characteristic
905	C₂²×C₄	C₂⁴	1	2	yes	—
906	C₂²×C₄	C₂⁴	1	2	yes	—
907	C₂²×C₄	C₂⁴	1	2	yes	—
908	C₂²×C₄	C₂⁴	1	4	yes	—
909	C₂²×C₄	C₂⁴	1	4	yes	—
910	C₂²×C₄	C₂⁴	1	4	yes	—
911	C₂²×C₄	C₂⁴	1	2	yes	—
912	C₂²×C₄	C₂⁴	1	2	yes	—
913	C₂²×C₄	C₂⁴	1	2	yes	—
914	C₂²×C₄	C₂⁴	1	2	yes	—
915	C₂²×C₄	C₂⁴	1	4	yes	—
916	C₂²×C₄	C₂⁴	1	4	yes	—
917	C₂²×C₄	C₂⁴	1	4	yes	—
918	C₂²×C₄	C₂⁴	1	4	yes	—
919	C₂²×C₄	C₂⁴	1	4	yes	—
920	C₂²×C₄	C₂⁴	1	4	yes	—
921	C₂²×C₄	C₂⁴	1	4	yes	—
922	C₂²×C₄	C₂⁴	1	4	yes	—
923	C₂²×C₄	C₂⁴	1	4	yes	—
924	C₂²×C₄	C₂⁴	1	2	yes	—
925	C₄⋊C₄	C₂⁴	1	2	yes	—
926	C₄⋊C₄	C₂⁴	1	2	yes	—
927	C₄⋊C₄	C₂⁴	1	2	yes	—
928	C₄⋊C₄	C₂⁴	1	2	yes	—
929	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
930	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
931	C₄⋊C₄	C₂⁴	1	2	yes	—
932	C₄⋊C₄	C₂⁴	1	2	yes	—
933	C₄⋊C₄	C₂⁴	1	2	yes	—
934	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
935	C₄⋊C₄	C₂⁴	1	2	yes	—
936	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
937	C₄⋊C₄	C₂⁴	1	2	yes	—
938	C₄⋊C₄	C₂⁴	1	4	yes	—
939	C₄⋊C₄	C₂⁴	1	4	yes	—
940	C₄⋊C₄	C₂⁴	1	4	yes	—
941	C₄⋊C₄	C₂⁴	1	4	yes	—
942	C₄⋊C₄	C₂⁴	1	4	yes	—
943	C₄⋊C₄	C₂⁴	1	2	yes	—
944	C₄⋊C₄	C₂⁴	1	2	yes	—
945	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
946	C₄⋊C₄	C₂⁴	1	2	yes	—
947	C₄⋊C₄	C₂⁴	1	2	yes	—
948	C₄⋊C₄	C₂⁴	1	2	yes	—
949	C₄⋊C₄	C₂⁴	1	2	yes	—
950	C₄⋊C₄	C₂⁴	1	4	yes	—
951	C₄⋊C₄	C₂⁴	1	4	yes	—
952	C₄⋊C₄	C₂⁴	1	4	yes	—
953	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
954	C₄⋊C₄	C₂⁴	1	2	yes	—
955	C₄⋊C₄	C₂⁴	1	2	yes	—
956	C₄⋊C₄	C₂⁴	1	2	yes	—
957	C₄⋊C₄	C₂⁴	1	2	yes	—
958	C₄⋊C₄	C₂⁴	1	2	yes	—
959	C₄⋊C₄	C₂⁴	1	2	yes	—
960	C₄⋊C₄	C₂⁴	1	2	yes	—
961	C₄⋊C₄	C₂⁴	1	2	yes	—
962	C₄⋊C₄	C₂⁴	1	4	yes	—
963	C₄⋊C₄	C₂⁴	1	4	yes	—
964	C₄⋊C₄	C₂⁴	1	4	yes	—
965	C₄⋊C₄	C₂⁴	1	4	yes	—
966	C₄⋊C₄	C₂⁴	1	4	yes	—
967	C₄⋊C₄	C₂⁴	1	4	yes	—
968	C₄⋊C₄	C₂⁴	1	2	yes	—
969	C₄⋊C₄	C₂⁴	1	2	yes	—
970	C₄⋊C₄	C₂⁴	1	2	yes	—
971	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴	1	2	yes	—
973	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴	1	2	yes	—
975	C₄⋊C₄	C₂⁴	1	4	yes	—
976	C₄⋊C₄	C₂⁴	1	2	yes	—
977	C₄⋊C₄	C₂⁴	1	2	yes	—
978	C₄⋊C₄	C₂⁴	1	4	yes	—
979	C₄⋊C₄	C₂⁴	1	4	yes	—
980	C₄⋊C₄	C₂⁴	1	2	yes	—
981	C₄⋊C₄	C₂⁴	1	2	yes	—
982	C₄⋊C₄	C₂⁴	1	2	yes	—
983	C₄⋊C₄	C₂⁴	1	2	yes	—
984	C₄⋊C₄	C₂⁴	1	2	yes	—
985	C₄⋊C₄	C₂⁴	1	2	yes	—
986	C₄⋊C₄	C₂⁴	1	2	yes	—
987	C₄⋊C₄	C₂⁴	1	2	yes	—
988	C₄⋊C₄	C₂⁴	1	4	yes	—
989	C₄⋊C₄	C₂⁴	1	4	yes	—
990	C₄⋊C₄	C₂⁴	1	4	yes	—
991	C₄⋊C₄	C₂⁴	1	2	yes	—
992	C₄⋊C₄	C₂⁴	1	2	yes	—
993	C₄⋊C₄	C₂⁴	1	4	yes	—
994	C₄⋊C₄	C₂⁴	1	4	yes	—
995	C₄⋊C₄	C₂⁴	1	4	yes	—
996	C₄⋊C₄	C₂⁴	1	4	yes	—
997	C₂²⋊C₄	C₂⁴	1	2	yes	—
998	C₂²⋊C₄	C₂⁴	1	2	yes	—
999	C₂²⋊C₄	C₂⁴	1	2	yes	—
1000	C₂²⋊C₄	C₂⁴	1	2	yes	—
1001	C₂²⋊C₄	C₂⁴	1	2	yes	—
1002	C₂²⋊C₄	C₂⁴	1	2	yes	—
1003	C₂²⋊C₄	C₂⁴	1	2	yes	—
1004	C₂²⋊C₄	C₂⁴	1	2	yes	—
1005	C₂²⋊C₄	C₂⁴	1	2	yes	—
1006	C₂²⋊C₄	C₂⁴	1	2	yes	—
1007	C₂²⋊C₄	C₂⁴	1	4	yes	—
1008	C₂²⋊C₄	C₂⁴	1	4	yes	—
1009	C₂²⋊C₄	C₂⁴	1	4	yes	—
1010	C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂²⋊C₄	C₂⁴	1	2	yes	—
1012	C₂²⋊C₄	C₂⁴	1	2	yes	—
1013	C₂²⋊C₄	C₂⁴	1	4	yes	—
1014	C₂²⋊C₄	C₂⁴	1	2	yes	—
1015	C₂²⋊C₄	C₂⁴	1	4	yes	—
1016	C₂²⋊C₄	C₂⁴	1	4	yes	—
1017	C₂²⋊C₄	C₂⁴	1	4	yes	—
1018	C₂²⋊C₄	C₂⁴	1	2	yes	—
1019	C₂²⋊C₄	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄	C₂⁴	1	2	yes	—
1021	C₂²⋊C₄	C₂⁴	1	2	yes	—
1022	C₂²⋊C₄	C₂⁴	1	2	yes	—
1023	C₂²⋊C₄	C₂⁴	1	2	yes	—
1024	C₂²⋊C₄	C₂⁴	1	4	yes	—
1025	C₂²⋊C₄	C₂⁴	1	2	yes	—
1026	C₂²⋊C₄	C₂⁴	1	4	yes	—
1027	C₂²⋊C₄	C₂⁴	1	4	yes	—
1028	C₂²⋊C₄	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄	C₂⁴	1	4	yes	—
1030	C₂²⋊C₄	C₂⁴	1	2	yes	—
1031	C₂²⋊C₄	C₂⁴	1	2	yes	—
1032	C₂²⋊C₄	C₂⁴	1	2	yes	—
1033	C₂²⋊C₄	C₂⁴	1	4	yes	—
1034	C₂²⋊C₄	C₂⁴	1	4	yes	—
1035	C₂²⋊C₄	C₂⁴	1	2	yes	—
1036	C₂²⋊C₄	C₂⁴	1	2	yes	—
1037	C₂²⋊C₄	C₂⁴	1	2	yes	—
1038	C₂²⋊C₄	C₂⁴	1	2	yes	—
1039	C₂²⋊C₄	C₂⁴	1	4	yes	—
1040	C₂²⋊C₄	C₂⁴	1	4	yes	—
1041	C₂²⋊C₄	C₂⁴	1	2	yes	—
1042	C₂²⋊C₄	C₂⁴	1	2	yes	—
1043	C₂²⋊C₄	C₂⁴	1	2	yes	—
1044	C₂²⋊C₄	C₂⁴	1	2	yes	—
1045	C₂²⋊C₄	C₂⁴	1	4	yes	—
1046	C₂²⋊C₄	C₂⁴	1	4	yes	—
1047	C₂²⋊C₄	C₂⁴	1	2	yes	—
1048	C₂²⋊C₄	C₂⁴	1	2	yes	—
1049	C₂²⋊C₄	C₂⁴	1	2	yes	—
1050	C₂²⋊C₄	C₂⁴	1	4	yes	—
1051	C₂²⋊C₄	C₂⁴	1	4	yes	—
1052	C₂²⋊C₄	C₂⁴	1	4	yes	—
1053	C₂²⋊C₄	C₂⁴	1	4	yes	—
1054	C₂²⋊C₄	C₂⁴	1	4	yes	—
1055	C₂²⋊C₄	C₂⁴	1	2	yes	—
1056	C₂²⋊C₄	C₂⁴	1	4	yes	—
1057	C₂²⋊C₄	C₂⁴	1	4	yes	—
1058	C₂²⋊C₄	C₂⁴	1	2	yes	—
1059	C₂²⋊C₄	C₂⁴	1	2	yes	—
1060	C₂²⋊C₄	C₂⁴	1	4	yes	—
1061	C₂²⋊C₄	C₂⁴	1	4	yes	—
1062	C₄²	C₂⁴	1	1	yes	characteristic
1063	C₄²	C₂⁴	1	1	yes	characteristic
1064	C₄²	C₂⁴	1	1	yes	characteristic
1065	C₄²	C₂⁴	1	1	yes	characteristic
1066	C₄²	C₂⁴	1	1	yes	characteristic
1067	C₄²	C₂⁴	1	1	yes	characteristic
1068	C₄²	C₂⁴	1	1	yes	characteristic
1069	C₄²	C₂⁴	1	1	yes	characteristic
1070	C₄²	C₂⁴	1	1	yes	characteristic
1071	C₄²	C₂⁴	1	1	yes	characteristic
1072	C₄²	C₂⁴	1	1	yes	characteristic
1073	C₄²	C₂⁴	1	1	yes	characteristic
1074	C₄²	C₂⁴	1	1	yes	characteristic
1075	C₄²	C₂⁴	1	1	yes	characteristic
1076	C₄²	C₂⁴	1	1	yes	characteristic
1077	C₄²	C₂⁴	1	1	yes	characteristic
1078	C₄²	C₂⁴	1	2	yes	—
1079	C₄²	C₂⁴	1	2	yes	—
1080	C₄²	C₂⁴	1	2	yes	—
1081	C₄²	C₂⁴	1	4	yes	—
1082	C₄²	C₂⁴	1	4	yes	—
1083	C₄²	C₂⁴	1	4	yes	—
1084	C₄²	C₂⁴	1	2	yes	—
1085	C₄²	C₂⁴	1	2	yes	—
1086	C₄²	C₂⁴	1	2	yes	—
1087	C₄²	C₂⁴	1	2	yes	—
1088	C₄²	C₂⁴	1	2	yes	—
1089	C₄²	C₂⁴	1	2	yes	—
1090	C₄²	C₂⁴	1	2	yes	—
1091	C₄²	C₂⁴	1	4	yes	—
1092	C₄²	C₂⁴	1	4	yes	—
1093	C₄²	C₂⁴	1	4	yes	—
1094	C₄²	C₂⁴	1	4	yes	—
1095	C₄²	C₂⁴	1	4	yes	—
1096	C₄²	C₂⁴	1	4	yes	—
1097	C₂³	—	2	2	no	—
1098	C₂³	—	2	4	no	—
1099	C₂³	—	4	1	no	—
1100	C₂³	—	4	1	no	—
1101	C₂³	—	4	2	no	—
1102	C₂³	—	4	2	no	—
1103	C₂³	—	4	4	no	—
1104	C₂³	—	4	4	no	—
1105	C₂³	—	4	4	no	—
1106	C₂³	C₂⁵	1	2	yes	—
1107	C₂³	C₂⁵	1	2	yes	—
1108	C₂³	C₂⁵	1	2	yes	—
1109	C₂³	C₂⁵	1	1	yes	characteristic
1110	C₂³	C₂⁵	1	1	yes	characteristic
1111	C₂³	C₂⁵	1	4	yes	—
1112	C₂³	C₂⁵	1	2	yes	—
1113	C₂³	C₂⁵	1	1	yes	characteristic
1114	Q₈	—	2	2	no	—
1115	Q₈	—	2	2	no	—
1116	Q₈	—	2	4	no	—
1117	Q₈	—	2	2	no	—
1118	Q₈	—	2	4	no	—
1119	Q₈	—	2	2	no	—
1120	Q₈	—	4	4	no	—
1121	Q₈	—	4	2	no	—
1122	Q₈	—	4	4	no	—
1123	Q₈	—	4	2	no	—
1124	Q₈	—	4	2	no	—
1125	Q₈	—	4	2	no	—
1126	Q₈	—	4	4	no	—
1127	D₄	—	2	4	no	—
1128	D₄	—	2	8	no	—
1129	D₄	—	2	4	no	—
1130	D₄	—	2	2	no	—
1131	D₄	—	2	2	no	—
1132	D₄	—	2	4	no	—
1133	D₄	—	2	2	no	—
1134	D₄	—	2	4	no	—
1135	D₄	—	2	2	no	—
1136	D₄	—	4	4	no	—
1137	D₄	—	4	2	no	—
1138	D₄	—	4	2	no	—
1139	D₄	—	4	2	no	—
1140	D₄	—	4	2	no	—
1141	D₄	—	4	2	no	—
1142	D₄	—	4	4	no	—
1143	D₄	—	4	4	no	—
1144	D₄	—	4	4	no	—
1145	D₄	—	4	2	no	—
1146	D₄	—	4	2	no	—
1147	D₄	—	4	2	no	—
1148	D₄	—	4	2	no	—
1149	D₄	—	4	4	no	—
1150	D₄	—	4	2	no	—
1151	D₄	—	4	4	no	—
1152	D₄	—	4	2	no	—
1153	D₄	—	4	4	no	—
1154	D₄	—	4	4	no	—
1155	D₄	—	4	4	no	—
1156	D₄	—	4	4	no	—
1157	D₄	—	4	4	no	—
1158	D₄	—	4	2	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	4	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	4	no	—
1165	C₂×C₄	—	2	4	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	2	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	4	no	—
1171	C₂×C₄	—	2	4	no	—
1172	C₂×C₄	—	4	1	no	—
1173	C₂×C₄	—	4	1	no	—
1174	C₂×C₄	—	4	1	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	2	no	—
1177	C₂×C₄	—	4	2	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	2	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	4	no	—
1186	C₂×C₄	—	4	4	no	—
1187	C₂×C₄	—	4	2	no	—
1188	C₂×C₄	—	4	4	no	—
1189	C₂×C₄	—	4	2	no	—
1190	C₂×C₄	—	4	4	no	—
1191	C₂×C₄	—	4	2	no	—
1192	C₂×C₄	—	4	2	no	—
1193	C₂×C₄	—	4	4	no	—
1194	C₂×C₄	—	4	4	no	—
1195	C₂×C₄	—	4	2	no	—
1196	C₂×C₄	—	4	4	no	—
1197	C₂×C₄	—	4	4	no	—
1198	C₂×C₄	—	4	4	no	—
1199	C₂×C₄	—	4	4	no	—
1200	C₂×C₄	—	4	4	no	—
1201	C₂×C₄	—	4	4	no	—
1202	C₂×C₄	C₂⁵	1	1	yes	characteristic
1203	C₂×C₄	C₂⁵	1	1	yes	characteristic
1204	C₂×C₄	C₂⁵	1	1	yes	characteristic
1205	C₂×C₄	C₂⁵	1	1	yes	characteristic
1206	C₂×C₄	C₂⁵	1	1	yes	characteristic
1207	C₂×C₄	C₂⁵	1	1	yes	characteristic
1208	C₂×C₄	C₂⁵	1	2	yes	—
1209	C₂×C₄	C₂⁵	1	2	yes	—
1210	C₂×C₄	C₂⁵	1	2	yes	—
1211	C₂×C₄	C₂⁵	1	2	yes	—
1212	C₂×C₄	C₂⁵	1	2	yes	—
1213	C₂×C₄	C₂⁵	1	1	yes	characteristic
1214	C₂×C₄	C₂⁵	1	1	yes	characteristic
1215	C₂×C₄	C₂⁵	1	1	yes	characteristic
1216	C₂×C₄	C₂⁵	1	1	yes	characteristic
1217	C₂×C₄	C₂⁵	1	4	yes	—
1218	C₂×C₄	C₂⁵	1	2	yes	—
1219	C₂×C₄	C₂⁵	1	4	yes	—
1220	C₂×C₄	C₂⁵	1	4	yes	—
1221	C₂×C₄	C₂⁵	1	2	yes	—
1222	C₂×C₄	C₂⁵	1	2	yes	—
1223	C₂×C₄	C₂⁵	1	2	yes	—
1224	C₂×C₄	C₂⁵	1	2	yes	—
1225	C₂×C₄	C₂⁵	1	2	yes	—
1226	C₂×C₄	C₂⁵	1	2	yes	—
1227	C₂×C₄	C₂⁵	1	1	yes	characteristic
1228	C₂×C₄	C₂⁵	1	1	yes	characteristic
1229	C₂²	—	2	1	no	—
1230	C₂²	—	2	1	no	—
1231	C₂²	—	2	2	no	—
1232	C₂²	—	2	2	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	2	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	4	no	—
1243	C₂²	—	2	4	no	—
1244	C₂²	—	2	4	no	—
1245	C₂²	—	2	1	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	2	no	—
1250	C₂²	—	2	2	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	4	4	no	—
1253	C₂²	—	8	4	no	—
1254	C₂²	—	16	4	no	—
1255	C₂²	#585	1	2	yes	—
1256	C₂²	C₂⁶	1	1	yes	characteristic
1257	C₄	—	2	1	no	—
1258	C₄	—	2	1	no	—
1259	C₄	—	2	1	no	—
1260	C₄	—	2	1	no	—
1261	C₄	—	2	1	no	—
1262	C₄	—	2	1	no	—
1263	C₄	—	2	2	no	—
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	1	no	—
1268	C₄	—	2	1	no	—
1269	C₄	—	2	1	no	—
1270	C₄	—	2	1	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	2	no	—
1274	C₄	—	2	4	no	—
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	4	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	4	no	—
1280	C₄	—	2	2	no	—
1281	C₄	—	2	2	no	—
1282	C₄	#585	1	2	yes	—
1283	C₄	#585	1	2	yes	—
1284	C₂	—	2	2	no	—
1285	C₂	—	4	2	no	—
1286	C₂	—	4	1	no	—
1287	C₂	—	4	1	no	—
1288	C₂	—	4	2	no	—
1289	C₂	—	4	2	no	—
1290	C₂	—	4	4	no	—
1291	C₂	—	4	2	no	—
1292	C₂	C₂×#585	1	1	yes	characteristic
1293	C₂	C₂×#585	1	1	yes	characteristic
1294	C₂	C₂×#585	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. #3566	C₂	semidirect
2. #3566	C₂	semidirect
3. #3565	C₂	semidirect
4. #3562	C₂	semidirect
5. #3555	C₂	semidirect
6. #3554	C₂	semidirect
7. #3547	C₂	semidirect
8. #3546	C₂	semidirect
9. #3542	C₂	semidirect
10. #3541	C₂	semidirect
11. #3533	C₂	semidirect
12. #3524	C₂	semidirect
13. #3524	C₂	semidirect
14. #3523	C₂	semidirect
15. #3522	C₂	semidirect
16. #3521	C₂	semidirect
17. #3521	C₂	semidirect
18. #3521	C₂	semidirect
19. #3520	C₂	semidirect
20. #3519	C₂	semidirect
21. #3518	C₂	semidirect
22. #3517	C₂	semidirect
23. #3515	C₂	semidirect
24. #3515	C₂	semidirect
25. #3514	C₂	semidirect
26. #3514	C₂	semidirect
27. #3512	C₂	semidirect
28. #3510	C₂	semidirect
29. #3506	C₂	semidirect
30. #3505	C₂	semidirect
31. #3495	C₂	semidirect
32. #3494	C₂	semidirect
33. #3444	C₂	semidirect
34. #3444	C₂	semidirect
35. C₂×#529	C₂	semidirect
36. #563	C₂²	semidirect
37. #563	C₂²	semidirect
38. #562	C₂²	semidirect
39. #562	C₂²	semidirect
40. #562	C₂²	semidirect
41. #562	C₂²	semidirect
42. #560	C₂²	semidirect
43. #560	C₂²	semidirect
44. #559	C₂²	semidirect
45. #559	C₂²	semidirect
46. #559	C₂²	semidirect
47. #559	C₂²	semidirect
48. #559	C₂²	semidirect
49. #559	C₂²	semidirect
50. Q₈²	C₂²	semidirect
51. #557	C₂²	semidirect
52. #557	C₂²	semidirect
53. #557	C₂²	semidirect
54. #557	C₂²	semidirect
55. #556	C₂²	semidirect
56. #556	C₂²	semidirect
57. #556	C₂²	semidirect
58. #556	C₂²	semidirect
59. #556	C₂²	semidirect
60. #556	C₂²	semidirect
61. #556	C₂²	semidirect
62. #556	C₂²	semidirect
63. #556	C₂²	semidirect
64. #556	C₂²	semidirect
65. #555	C₂²	semidirect
66. #555	C₂²	semidirect
67. #555	C₂²	semidirect
68. #555	C₂²	semidirect
69. #555	C₂²	semidirect
70. #555	C₂²	semidirect
71. #554	C₂²	semidirect
72. #554	C₂²	semidirect
73. #554	C₂²	semidirect
74. #554	C₂²	semidirect
75. #554	C₂²	semidirect
76. #554	C₂²	semidirect
79. #553	C₂²	semidirect
80. #553	C₂²	semidirect
81. #553	C₂²	semidirect
82. #553	C₂²	semidirect
83. #553	C₂²	semidirect
84. #553	C₂²	semidirect
85. #553	C₂²	semidirect
86. #553	C₂²	semidirect
87. #553	C₂²	semidirect
88. #553	C₂²	semidirect
89. #553	C₂²	semidirect
90. #553	C₂²	semidirect
91. #553	C₂²	semidirect
92. #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
108. #551	C₂²	semidirect
109. #551	C₂²	semidirect
110. #551	C₂²	semidirect
111. #551	C₂²	semidirect
112. #551	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. #550	C₂²	semidirect
120. #550	C₂²	semidirect
121. #550	C₂²	semidirect
122. #550	C₂²	semidirect
123. #550	C₂²	semidirect
124. D₄×Q₈	C₂²	semidirect
125. D₄×Q₈	C₂²	semidirect
126. D₄×Q₈	C₂²	semidirect
127. #548	C₂²	semidirect
128. #548	C₂²	semidirect
129. #548	C₂²	semidirect
130. #548	C₂²	semidirect
131. #548	C₂²	semidirect
132. #548	C₂²	semidirect
133. #547	C₂²	semidirect
134. #547	C₂²	semidirect
135. #547	C₂²	semidirect
136. #547	C₂²	semidirect
137. #547	C₂²	semidirect
138. #547	C₂²	semidirect
139. #547	C₂²	semidirect
140. #547	C₂²	semidirect
144. #546	C₂²	semidirect
145. #546	C₂²	semidirect
146. #546	C₂²	semidirect
147. #546	C₂²	semidirect
148. #546	C₂²	semidirect
149. #546	C₂²	semidirect
151. D₄²	C₂²	semidirect
152. #544	C₂²	semidirect
153. #544	C₂²	semidirect
155. #542	C₂²	semidirect
156. #542	C₂²	semidirect
157. #542	C₂²	semidirect
158. #542	C₂²	semidirect
159. #542	C₂²	semidirect
160. #542	C₂²	semidirect
161. #542	C₂²	semidirect
162. #542	C₂²	semidirect
163. #542	C₂²	semidirect
164. #542	C₂²	semidirect
165. #542	C₂²	semidirect
166. #542	C₂²	semidirect
167. #542	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. #540	C₂²	semidirect
176. #540	C₂²	semidirect
177. #540	C₂²	semidirect
178. #540	C₂²	semidirect
179. #540	C₂²	semidirect
180. #540	C₂²	semidirect
181. #540	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. #538	C₂²	semidirect
190. #538	C₂²	semidirect
191. #538	C₂²	semidirect
192. #538	C₂²	semidirect
193. #538	C₂²	semidirect
194. #538	C₂²	semidirect
195. #538	C₂²	semidirect
196. #538	C₂²	semidirect
197. #538	C₂²	semidirect
198. #537	C₂²	semidirect
199. #537	C₂²	semidirect
200. #536	C₂²	semidirect
201. #536	C₂²	semidirect
203. #535	C₂²	semidirect
204. #535	C₂²	semidirect
205. #534	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
216. #532	C₂²	semidirect
217. #532	C₂²	semidirect
218. #532	C₂²	semidirect
219. #532	C₂²	semidirect
220. #532	C₂²	semidirect
221. #532	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. #529	C₂²	semidirect
235. #529	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
247. #529	C₂²	semidirect
248. #529	C₂²	semidirect
249. #529	C₂²	semidirect
250. #529	C₂²	semidirect
251. #529	C₂²	semidirect
252. #529	C₂²	semidirect
253. #529	C₂²	semidirect
254. #529	C₂²	semidirect
255. #529	C₂²	semidirect
256. #529	C₂²	semidirect
257. C₂×#126	C₂²	semidirect
258. C₂×#126	C₂²	semidirect
259. C₂×#125	C₂²	semidirect
260. C₂×#125	C₂²	semidirect
262. C₂×#124	C₂²	semidirect
265. #525	C₂²	semidirect
266. #525	C₂²	semidirect
267. #525	C₂²	semidirect
268. #525	C₂²	semidirect
269. #525	C₂²	semidirect
270. #525	C₂²	semidirect
271. #525	C₂²	semidirect
272. C₂×#123	C₂²	semidirect
273. C₂×C₂²⋊Q₈	C₂²	semidirect
274. C₂×C₂²⋊Q₈	C₂²	semidirect
277. #520	C₂²	semidirect
278. #520	C₂²	semidirect
279. #520	C₂²	semidirect
280. #520	C₂²	semidirect
281. #520	C₂²	semidirect
282. #519	C₂²	semidirect
283. #519	C₂²	semidirect
284. #518	C₂²	semidirect
285. #518	C₂²	semidirect
286. #518	C₂²	semidirect
287. C₄×#41	C₂²	semidirect
288. C₄×#41	C₂²	semidirect
289. C₄×#41	C₂²	semidirect
290. C₄×#41	C₂²	semidirect
291. C₄×#41	C₂²	semidirect
292. C₄×#41	C₂²	semidirect
293. C₄×#41	C₂²	semidirect
294. C₂×C₄×Q₈	C₂²	semidirect
296. C₂×C₄×D₄	C₂²	semidirect
297. C₂×#117	C₂²	semidirect
298. C₂²×C₄²	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3566	2
#3565	2
#3562	2
#3555	2
#3554	2
#3547	2
#3546	2
#3542	2
#3541	2
#3533	2
#3524	2
#3523	2
#3522	2
#3521	2
#3520	2
#3519	2
#3518	2
#3517	2
#3515	2
#3514	2
#3512	2
#3510	2
#3506	2
#3505	2
#3495	2
#3494	2
#3444	2
C₂×#529	2