Subgroups — #63023

Order 256.

3269 conjugacy classes of subgroups.

The subgroup lattice has 1273 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3565	C₂	1	2	yes	maximal, complemented
2	#3564	C₂	1	4	yes	maximal, complemented
3	#3563	C₂	1	2	yes	maximal, complemented
4	#3563	C₂	1	2	yes	maximal, complemented
5	#3557	C₂	1	2	yes	maximal, complemented
6	#3555	C₂	1	1	yes	maximal, characteristic, complemented
7	#3553	C₂	1	4	yes	maximal, complemented
8	#3547	C₂	1	1	yes	maximal, characteristic, complemented
9	#3544	C₂	1	1	yes	maximal, characteristic, complemented
10	#3541	C₂	1	2	yes	maximal, complemented
11	#3538	C₂	1	2	yes	maximal, complemented
12	#3535	C₂	1	4	yes	maximal, complemented
13	#3523	C₂	1	1	yes	maximal, characteristic, complemented
14	#3521	C₂	1	2	yes	maximal, complemented
15	#3520	C₂	1	1	yes	maximal, characteristic, complemented
16	#3520	C₂	1	2	yes	maximal, complemented
17	#3516	C₂	1	2	yes	maximal, complemented
18	#3515	C₂	1	1	yes	maximal, characteristic, complemented
19	#3515	C₂	1	2	yes	maximal, complemented
20	#3515	C₂	1	1	yes	maximal, characteristic, complemented
21	#3513	C₂	1	2	yes	maximal, complemented
22	#3509	C₂	1	1	yes	maximal, characteristic, complemented
23	#3507	C₂	1	1	yes	maximal, characteristic, complemented
24	#3504	C₂	1	2	yes	maximal, complemented
25	#3501	C₂	1	1	yes	maximal, characteristic, complemented
26	#3495	C₂	1	4	yes	maximal, complemented
27	#3495	C₂	1	2	yes	maximal, complemented
28	#3492	C₂	1	2	yes	maximal, complemented
29	#3482	C₂	1	1	yes	maximal, characteristic, complemented
30	#3481	C₂	1	1	yes	maximal, characteristic, complemented
31	Q₈×#41	C₂	1	1	yes	maximal, characteristic, complemented
32	#3475	C₂	1	2	yes	maximal, complemented
33	#3475	C₂	1	1	yes	maximal, characteristic, complemented
34	C₂×#554	C₂	1	1	yes	maximal, characteristic, complemented
35	C₂×#552	C₂	1	2	yes	maximal, complemented
36	#564	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	#563	C₂²	1	4	yes	complemented
43	#562	C₂²	1	4	yes	complemented
44	#562	C₂²	1	4	yes	complemented
45	#559	C₂²	1	1	yes	characteristic
46	#559	C₂²	1	2	yes	—
47	Q₈²	C₂²	1	1	yes	characteristic, complemented
48	#557	C₂²	1	1	yes	characteristic, complemented
49	#557	C₂²	1	2	yes	complemented
50	#557	C₂²	1	1	yes	characteristic, complemented
51	#557	C₂²	1	2	yes	complemented
52	#557	C₂²	1	2	yes	complemented
53	#557	C₂²	1	2	yes	complemented
54	#557	C₂²	1	2	yes	complemented
55	#557	C₂²	1	2	yes	complemented
56	#557	C₂²	1	1	yes	characteristic, complemented
57	#556	C₂²	1	1	yes	characteristic, complemented
58	#556	C₂²	1	2	yes	complemented
59	#556	C₂²	1	1	yes	characteristic, complemented
60	#556	C₂²	1	2	yes	complemented
61	#556	C₂²	1	4	yes	complemented
62	#556	C₂²	1	2	yes	complemented
63	#556	C₂²	1	4	yes	complemented
64	#556	C₂²	1	2	yes	complemented
65	#556	C₂²	1	1	yes	characteristic, complemented
66	#556	C₂²	1	2	yes	complemented
67	#556	C₂²	1	2	yes	complemented
68	#555	C₂²	1	1	yes	characteristic, complemented
69	#555	C₂²	1	2	yes	complemented
70	#554	C₂²	1	1	yes	characteristic
71	#554	C₂²	1	1	yes	characteristic
72	#554	C₂²	1	2	yes	—
73	#554	C₂²	1	2	yes	—
74	#554	C₂²	1	2	yes	—
75	#554	C₂²	1	1	yes	characteristic
76	#554	C₂²	1	1	yes	characteristic
77	#554	C₂²	1	2	yes	complemented
78	#554	C₂²	1	1	yes	characteristic, complemented
79	#554	C₂²	1	2	yes	complemented
80	#554	C₂²	1	1	yes	characteristic, complemented
81	#554	C₂²	1	4	yes	complemented
82	#554	C₂²	1	2	yes	complemented
83	#554	C₂²	1	2	yes	complemented
84	#554	C₂²	1	4	yes	complemented
85	#554	C₂²	1	2	yes	complemented
86	#554	C₂²	1	4	yes	complemented
87	#554	C₂²	1	4	yes	complemented
88	#554	C₂²	1	4	yes	complemented
89	#554	C₂²	1	1	yes	characteristic, complemented
90	#554	C₂²	1	2	yes	complemented
91	#554	C₂²	1	4	yes	complemented
92	#554	C₂²	1	4	yes	complemented
93	#554	C₂²	1	1	yes	characteristic, complemented
94	#554	C₂²	1	2	yes	complemented
95	#553	C₂²	1	1	yes	characteristic
96	#553	C₂²	1	2	yes	—
97	#553	C₂²	1	1	yes	characteristic
98	#553	C₂²	1	2	yes	—
99	#553	C₂²	1	4	yes	—
100	#553	C₂²	1	2	yes	complemented
101	#553	C₂²	1	4	yes	complemented
102	#553	C₂²	1	2	yes	complemented
103	#553	C₂²	1	4	yes	complemented
104	#553	C₂²	1	2	yes	complemented
105	#552	C₂²	1	1	yes	characteristic
106	#552	C₂²	1	2	yes	—
107	#552	C₂²	1	4	yes	—
108	#552	C₂²	1	2	yes	—
109	#552	C₂²	1	2	yes	complemented
110	#552	C₂²	1	2	yes	complemented
111	#552	C₂²	1	4	yes	complemented
112	#552	C₂²	1	2	yes	complemented
113	#552	C₂²	1	2	yes	complemented
114	#552	C₂²	1	2	yes	complemented
115	#552	C₂²	1	2	yes	complemented
116	#552	C₂²	1	4	yes	complemented
117	#552	C₂²	1	4	yes	complemented
118	#552	C₂²	1	2	yes	complemented
119	#552	C₂²	1	2	yes	complemented
120	#552	C₂²	1	2	yes	complemented
121	#552	C₂²	1	4	yes	complemented
122	#552	C₂²	1	2	yes	complemented
123	#552	C₂²	1	1	yes	characteristic, complemented
124	#552	C₂²	1	2	yes	complemented
125	#552	C₂²	1	2	yes	complemented
126	#552	C₂²	1	4	yes	complemented
127	#552	C₂²	1	2	yes	complemented
128	#552	C₂²	1	4	yes	complemented
129	#552	C₂²	1	2	yes	complemented
130	#552	C₂²	1	4	yes	complemented
131	#552	C₂²	1	4	yes	complemented
132	#552	C₂²	1	4	yes	complemented
133	#552	C₂²	1	2	yes	complemented
134	#552	C₂²	1	4	yes	complemented
135	#552	C₂²	1	4	yes	complemented
136	#552	C₂²	1	2	yes	complemented
137	#552	C₂²	1	2	yes	complemented
138	#552	C₂²	1	4	yes	complemented
139	#552	C₂²	1	2	yes	complemented
140	#551	C₂²	1	2	yes	—
141	#551	C₂²	1	2	yes	—
142	#551	C₂²	1	4	yes	—
143	#551	C₂²	1	4	yes	—
144	#551	C₂²	1	4	yes	complemented
145	#551	C₂²	1	4	yes	complemented
146	#551	C₂²	1	4	yes	complemented
147	#551	C₂²	1	4	yes	complemented
148	#551	C₂²	1	4	yes	complemented
149	#551	C₂²	1	4	yes	complemented
150	D₄×Q₈	C₂²	1	1	yes	characteristic
151	D₄×Q₈	C₂²	1	2	yes	complemented
152	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
153	D₄×Q₈	C₂²	1	2	yes	complemented
154	D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
155	D₄×Q₈	C₂²	1	2	yes	complemented
156	#548	C₂²	1	1	yes	characteristic
157	#548	C₂²	1	1	yes	characteristic, complemented
158	#548	C₂²	1	2	yes	complemented
159	#548	C₂²	1	2	yes	complemented
160	#547	C₂²	1	1	yes	characteristic
161	#547	C₂²	1	2	yes	—
162	#547	C₂²	1	2	yes	—
163	#547	C₂²	1	2	yes	—
164	#547	C₂²	1	1	yes	characteristic, complemented
165	#547	C₂²	1	4	yes	complemented
166	#547	C₂²	1	2	yes	complemented
167	#547	C₂²	1	2	yes	complemented
168	#547	C₂²	1	1	yes	characteristic, complemented
169	#546	C₂²	1	1	yes	characteristic
170	#546	C₂²	1	2	yes	—
171	#546	C₂²	1	2	yes	—
172	#546	C₂²	1	1	yes	characteristic
173	#546	C₂²	1	2	yes	—
174	#546	C₂²	1	4	yes	—
175	D₄²	C₂²	1	1	yes	characteristic
176	#544	C₂²	1	2	yes	complemented
177	#544	C₂²	1	4	yes	complemented
178	#544	C₂²	1	2	yes	complemented
179	#544	C₂²	1	2	yes	complemented
180	#544	C₂²	1	4	yes	complemented
181	#544	C₂²	1	4	yes	complemented
182	#544	C₂²	1	2	yes	complemented
183	#544	C₂²	1	2	yes	complemented
184	#543	C₂²	1	4	yes	complemented
185	#542	C₂²	1	2	yes	—
186	#542	C₂²	1	4	yes	complemented
187	#542	C₂²	1	4	yes	complemented
188	#542	C₂²	1	4	yes	complemented
189	#542	C₂²	1	4	yes	complemented
190	#542	C₂²	1	2	yes	complemented
191	#542	C₂²	1	2	yes	complemented
192	#542	C₂²	1	4	yes	complemented
193	#542	C₂²	1	2	yes	complemented
194	#541	C₂²	1	4	yes	complemented
195	#541	C₂²	1	4	yes	complemented
196	#541	C₂²	1	4	yes	complemented
197	#541	C₂²	1	2	yes	complemented
198	#541	C₂²	1	2	yes	complemented
199	#541	C₂²	1	2	yes	complemented
200	#541	C₂²	1	2	yes	complemented
201	#541	C₂²	1	4	yes	complemented
202	#541	C₂²	1	2	yes	complemented
203	#541	C₂²	1	4	yes	complemented
204	#541	C₂²	1	2	yes	complemented
205	#541	C₂²	1	2	yes	complemented
206	#541	C₂²	1	4	yes	complemented
207	#540	C₂²	1	2	yes	—
208	#539	C₂²	1	4	yes	—
209	#539	C₂²	1	4	yes	—
210	#539	C₂²	1	4	yes	complemented
211	#539	C₂²	1	4	yes	complemented
212	#539	C₂²	1	4	yes	complemented
213	#539	C₂²	1	4	yes	complemented
214	#539	C₂²	1	4	yes	complemented
215	#539	C₂²	1	4	yes	complemented
216	#539	C₂²	1	4	yes	complemented
217	#539	C₂²	1	4	yes	complemented
218	#539	C₂²	1	4	yes	complemented
219	#539	C₂²	1	4	yes	complemented
220	#538	C₂²	1	4	yes	—
221	#538	C₂²	1	4	yes	complemented
222	#537	C₂²	1	2	yes	complemented
223	#536	C₂²	1	2	yes	—
224	#536	C₂²	1	4	yes	complemented
225	#536	C₂²	1	2	yes	complemented
226	#536	C₂²	1	2	yes	complemented
227	#533	C₂²	1	1	yes	characteristic, complemented
228	#533	C₂²	1	2	yes	complemented
229	#533	C₂²	1	4	yes	complemented
230	#533	C₂²	1	1	yes	characteristic, complemented
231	#533	C₂²	1	2	yes	complemented
232	#533	C₂²	1	2	yes	complemented
233	#533	C₂²	1	1	yes	characteristic, complemented
234	#533	C₂²	1	2	yes	complemented
235	#533	C₂²	1	4	yes	complemented
236	#533	C₂²	1	1	yes	characteristic, complemented
237	#533	C₂²	1	1	yes	characteristic, complemented
238	#533	C₂²	1	1	yes	characteristic, complemented
239	#532	C₂²	1	1	yes	characteristic
240	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
241	#529	C₂²	1	1	yes	characteristic
242	#529	C₂²	1	2	yes	—
243	#529	C₂²	1	1	yes	characteristic
244	#529	C₂²	1	2	yes	—
245	#529	C₂²	1	2	yes	—
246	#529	C₂²	1	4	yes	complemented
247	#529	C₂²	1	4	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	4	yes	complemented
252	#529	C₂²	1	1	yes	characteristic, complemented
253	#529	C₂²	1	1	yes	characteristic, complemented
254	#529	C₂²	1	2	yes	complemented
255	#529	C₂²	1	4	yes	complemented
256	#529	C₂²	1	2	yes	complemented
257	#529	C₂²	1	2	yes	complemented
258	C₂×#126	C₂²	1	4	yes	complemented
259	C₂×#125	C₂²	1	4	yes	complemented
260	C₂×#125	C₂²	1	2	yes	complemented
261	C₂×#125	C₂²	1	2	yes	complemented
262	C₂×#125	C₂²	1	2	yes	complemented
263	#525	C₂²	1	2	yes	—
264	#525	C₂²	1	2	yes	—
265	#525	C₂²	1	4	yes	—
266	#525	C₂²	1	4	yes	complemented
267	#525	C₂²	1	2	yes	complemented
268	#525	C₂²	1	2	yes	complemented
269	C₂×#123	C₂²	1	4	yes	—
270	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
271	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
272	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
273	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
274	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
275	#520	C₂²	1	2	yes	—
276	#520	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	#519	C₂²	1	2	yes	complemented
281	#519	C₂²	1	2	yes	complemented
282	#518	C₂²	1	2	yes	—
283	C₄×#41	C₂²	1	2	yes	—
284	C₄×#41	C₂²	1	2	yes	—
285	C₄×#41	C₂²	1	1	yes	characteristic
286	C₄×#41	C₂²	1	1	yes	characteristic
287	C₄×#41	C₂²	1	2	yes	complemented
288	C₄×#41	C₂²	1	1	yes	characteristic, complemented
289	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
290	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
291	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
292	C₂×C₄×D₄	C₂²	1	2	yes	—
293	C₂×C₄×D₄	C₂²	1	2	yes	—
294	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
295	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
296	C₂×#117	C₂²	1	2	yes	complemented
297	C₂×#117	C₂²	1	4	yes	complemented
298	C₂²×C₄⋊C₄	C₂²	1	2	yes	complemented
299	C₂×#41	C₂³	1	1	yes	characteristic
300	C₂×#41	C₂³	1	2	yes	—
301	C₂×#41	C₂³	1	1	yes	characteristic
302	C₂×#41	C₂³	1	2	yes	—
303	C₂×#41	C₂³	1	1	yes	characteristic
304	C₂×#41	C₂³	1	2	yes	—
305	C₂×#41	C₂³	1	4	yes	—
306	C₂×#41	C₂³	1	2	yes	—
307	C₂²×Q₈	C₂³	1	1	yes	characteristic
308	C₂²×Q₈	C₂³	1	2	yes	—
309	C₂²×Q₈	C₂³	1	1	yes	characteristic
310	C₂²×Q₈	C₂³	1	2	yes	—
311	C₂²×Q₈	C₂³	1	2	yes	—
312	C₂²×D₄	C₂³	1	1	yes	characteristic
313	C₂²×D₄	C₂³	1	1	yes	characteristic
314	C₂²×D₄	C₂³	1	2	yes	—
315	C₂³×C₄	C₂³	1	4	yes	—
316	C₂³×C₄	C₂³	1	2	yes	—
317	C₂³×C₄	C₂³	1	2	yes	—
318	C₄⋊Q₈	C₂³	1	1	yes	characteristic
319	C₄⋊Q₈	C₂³	1	1	yes	characteristic
320	C₄⋊Q₈	C₂³	1	2	yes	—
321	C₄⋊Q₈	C₂³	1	2	yes	—
322	C₄⋊Q₈	C₂³	1	2	yes	—
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	4	yes	—
327	C₄⋊Q₈	C₂³	1	4	yes	—
328	C₄⋊Q₈	C₂³	1	4	yes	—
329	C₄⋊Q₈	C₂³	1	2	yes	—
330	C₄⋊Q₈	C₂³	1	2	yes	—
331	C₄⋊Q₈	C₂³	1	1	yes	characteristic
332	C₄⋊Q₈	C₂³	1	2	yes	—
333	C₄⋊Q₈	C₂³	1	2	yes	—
334	C₄⋊Q₈	C₂³	1	4	yes	—
335	C₄⋊Q₈	C₂³	1	2	yes	—
336	C₄⋊Q₈	C₂³	1	1	yes	characteristic
337	C₄⋊Q₈	C₂³	1	2	yes	—
338	C₄⋊Q₈	C₂³	1	2	yes	—
339	C₄⋊Q₈	C₂³	1	2	yes	—
340	C₄⋊Q₈	C₂³	1	4	yes	—
341	C₄⋊Q₈	C₂³	1	4	yes	—
342	C₄⋊Q₈	C₂³	1	4	yes	—
343	C₄⋊Q₈	C₂³	1	4	yes	—
344	C₄⋊Q₈	C₂³	1	4	yes	—
345	#127	C₂³	1	1	yes	characteristic
346	#126	C₂³	1	2	yes	—
347	#126	C₂³	1	4	yes	—
348	#126	C₂³	1	4	yes	—
349	#126	C₂³	1	4	yes	—
350	#126	C₂³	1	4	yes	—
351	#126	C₂³	1	4	yes	—
352	#126	C₂³	1	4	yes	—
353	#126	C₂³	1	4	yes	—
354	#126	C₂³	1	4	yes	—
355	#126	C₂³	1	2	yes	—
356	#126	C₂³	1	2	yes	—
357	#126	C₂³	1	2	yes	—
358	#126	C₂³	1	2	yes	—
359	#126	C₂³	1	2	yes	—
360	#126	C₂³	1	2	yes	—
361	#126	C₂³	1	2	yes	—
362	#126	C₂³	1	4	yes	—
363	#126	C₂³	1	2	yes	—
364	#126	C₂³	1	4	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	2	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	#126	C₂³	1	4	yes	—
384	#125	C₂³	1	1	yes	characteristic
385	#125	C₂³	1	1	yes	characteristic
386	#125	C₂³	1	2	yes	—
387	#125	C₂³	1	2	yes	—
388	#125	C₂³	1	4	yes	—
389	#125	C₂³	1	2	yes	—
390	#125	C₂³	1	2	yes	—
391	#125	C₂³	1	2	yes	—
392	#125	C₂³	1	2	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	#125	C₂³	1	4	yes	—
398	#125	C₂³	1	4	yes	—
399	#125	C₂³	1	4	yes	—
400	#125	C₂³	1	4	yes	—
401	#125	C₂³	1	4	yes	—
402	#125	C₂³	1	2	yes	—
403	#125	C₂³	1	2	yes	—
404	#125	C₂³	1	2	yes	—
405	#125	C₂³	1	2	yes	—
406	#125	C₂³	1	4	yes	—
407	#125	C₂³	1	4	yes	—
408	#125	C₂³	1	2	yes	—
409	#125	C₂³	1	2	yes	—
410	#125	C₂³	1	1	yes	characteristic
411	#125	C₂³	1	4	yes	—
412	#125	C₂³	1	2	yes	—
413	#125	C₂³	1	4	yes	—
414	#125	C₂³	1	4	yes	—
415	#125	C₂³	1	4	yes	—
416	#125	C₂³	1	1	yes	characteristic
417	#125	C₂³	1	2	yes	—
418	#125	C₂³	1	2	yes	—
419	#125	C₂³	1	4	yes	—
420	#125	C₂³	1	2	yes	—
421	#125	C₂³	1	4	yes	—
422	#125	C₂³	1	4	yes	—
423	#125	C₂³	1	2	yes	—
424	#125	C₂³	1	2	yes	—
425	#125	C₂³	1	4	yes	—
426	#125	C₂³	1	2	yes	—
427	#125	C₂³	1	4	yes	—
428	#125	C₂³	1	4	yes	—
429	#125	C₂³	1	4	yes	—
430	#125	C₂³	1	4	yes	—
431	#125	C₂³	1	4	yes	—
432	#125	C₂³	1	4	yes	—
433	#125	C₂³	1	4	yes	—
434	#125	C₂³	1	4	yes	—
435	#125	C₂³	1	4	yes	—
436	#125	C₂³	1	4	yes	—
437	#125	C₂³	1	4	yes	—
438	#124	C₂³	1	1	yes	characteristic
439	#124	C₂³	1	2	yes	—
440	#124	C₂³	1	2	yes	—
441	#124	C₂³	1	1	yes	characteristic
442	#124	C₂³	1	2	yes	—
443	#124	C₂³	1	1	yes	characteristic
444	#124	C₂³	1	4	yes	—
445	#124	C₂³	1	4	yes	—
446	#124	C₂³	1	4	yes	—
447	#124	C₂³	1	2	yes	—
448	#124	C₂³	1	2	yes	—
449	#124	C₂³	1	1	yes	characteristic
450	#124	C₂³	1	4	yes	—
451	#124	C₂³	1	2	yes	—
452	#124	C₂³	1	4	yes	—
453	#124	C₂³	1	4	yes	—
454	#124	C₂³	1	4	yes	—
455	#124	C₂³	1	4	yes	—
456	#123	C₂³	1	2	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	2	yes	—
465	#123	C₂³	1	2	yes	—
466	#123	C₂³	1	2	yes	—
467	#123	C₂³	1	2	yes	—
468	#123	C₂³	1	2	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	2	yes	—
474	#123	C₂³	1	2	yes	—
475	#123	C₂³	1	2	yes	—
476	#123	C₂³	1	2	yes	—
477	#123	C₂³	1	4	yes	—
478	#123	C₂³	1	2	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	2	yes	—
486	#123	C₂³	1	2	yes	—
487	#123	C₂³	1	4	yes	—
488	#123	C₂³	1	4	yes	—
489	#123	C₂³	1	2	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	#123	C₂³	1	4	yes	—
497	#123	C₂³	1	4	yes	—
498	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
499	C₂²⋊Q₈	C₂³	1	2	yes	—
500	C₂²⋊Q₈	C₂³	1	2	yes	—
501	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
502	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
503	C₂²⋊Q₈	C₂³	1	2	yes	—
504	C₂²⋊Q₈	C₂³	1	2	yes	—
505	C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
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	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	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	2	yes	—
529	C₂²⋊Q₈	C₂³	1	4	yes	—
530	C₂²⋊Q₈	C₂³	1	4	yes	—
531	C₂²⋊Q₈	C₂³	1	2	yes	—
532	C₂²⋊Q₈	C₂³	1	2	yes	—
533	C₂²⋊Q₈	C₂³	1	2	yes	—
534	C₂²⋊Q₈	C₂³	1	2	yes	—
535	C₂²⋊Q₈	C₂³	1	4	yes	—
536	C₂²⋊Q₈	C₂³	1	4	yes	—
537	C₂²⋊Q₈	C₂³	1	2	yes	—
538	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
539	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
540	C₂²⋊Q₈	C₂³	1	2	yes	—
541	C₂²⋊Q₈	C₂³	1	2	yes	—
542	C₂²⋊Q₈	C₂³	1	2	yes	—
543	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
544	C₂²⋊Q₈	C₂³	1	2	yes	—
545	C₂²⋊Q₈	C₂³	1	2	yes	—
546	C₂²⋊Q₈	C₂³	1	2	yes	—
547	C₂²⋊Q₈	C₂³	1	4	yes	—
548	C₂²⋊Q₈	C₂³	1	2	yes	—
549	C₂²⋊Q₈	C₂³	1	2	yes	—
550	C₂²⋊Q₈	C₂³	1	2	yes	—
551	C₂²⋊Q₈	C₂³	1	2	yes	—
552	C₂²⋊Q₈	C₂³	1	2	yes	—
553	C₂²⋊Q₈	C₂³	1	4	yes	—
554	C₂²⋊Q₈	C₂³	1	4	yes	—
555	C₂²⋊Q₈	C₂³	1	4	yes	—
556	C₂²⋊Q₈	C₂³	1	2	yes	—
557	C₂²⋊Q₈	C₂³	1	2	yes	—
558	C₂²⋊Q₈	C₂³	1	4	yes	—
559	C₂²⋊Q₈	C₂³	1	4	yes	—
560	C₂²⋊Q₈	C₂³	1	4	yes	—
561	C₂²⋊Q₈	C₂³	1	2	yes	—
562	C₂²⋊Q₈	C₂³	1	2	yes	—
563	C₂²⋊Q₈	C₂³	1	2	yes	—
564	C₂²⋊Q₈	C₂³	1	2	yes	—
565	C₂²⋊Q₈	C₂³	1	4	yes	—
566	C₂²⋊Q₈	C₂³	1	4	yes	—
567	C₂²⋊Q₈	C₂³	1	4	yes	—
568	C₂²⋊Q₈	C₂³	1	4	yes	—
569	C₂²⋊Q₈	C₂³	1	4	yes	—
570	C₂²⋊Q₈	C₂³	1	4	yes	—
571	C₂²⋊Q₈	C₂³	1	4	yes	—
572	C₂²⋊Q₈	C₂³	1	4	yes	—
573	C₂²⋊Q₈	C₂³	1	4	yes	—
574	C₂²⋊Q₈	C₂³	1	4	yes	—
575	C₂²⋊Q₈	C₂³	1	4	yes	—
576	C₂²⋊Q₈	C₂³	1	4	yes	—
577	C₂²⋊Q₈	C₂³	1	4	yes	—
578	#121	C₂³	1	2	yes	—
579	#121	C₂³	1	4	yes	—
580	#121	C₂³	1	4	yes	—
581	#121	C₂³	1	2	yes	—
582	#121	C₂³	1	2	yes	—
583	#121	C₂³	1	2	yes	—
584	#121	C₂³	1	2	yes	—
585	#121	C₂³	1	1	yes	characteristic
586	#121	C₂³	1	4	yes	—
587	#121	C₂³	1	2	yes	—
588	#121	C₂³	1	4	yes	—
589	#121	C₂³	1	1	yes	characteristic
590	#121	C₂³	1	2	yes	—
591	#121	C₂³	1	2	yes	—
592	#121	C₂³	1	1	yes	characteristic
593	#121	C₂³	1	1	yes	characteristic
594	#121	C₂³	1	1	yes	characteristic
595	#121	C₂³	1	1	yes	characteristic
596	#121	C₂³	1	4	yes	—
597	#121	C₂³	1	2	yes	—
598	#121	C₂³	1	2	yes	—
599	#121	C₂³	1	2	yes	—
600	#121	C₂³	1	2	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	2	yes	—
606	#120	C₂³	1	4	yes	—
607	#120	C₂³	1	2	yes	—
608	#120	C₂³	1	2	yes	—
609	#120	C₂³	1	4	yes	—
610	C₄×Q₈	C₂³	1	1	yes	characteristic
611	C₄×Q₈	C₂³	1	1	yes	characteristic
612	C₄×Q₈	C₂³	1	1	yes	characteristic
613	C₄×Q₈	C₂³	1	2	yes	—
614	C₄×Q₈	C₂³	1	2	yes	—
615	C₄×Q₈	C₂³	1	1	yes	characteristic
616	C₄×Q₈	C₂³	1	1	yes	characteristic
617	C₄×Q₈	C₂³	1	2	yes	—
618	C₄×Q₈	C₂³	1	1	yes	characteristic
619	C₄×Q₈	C₂³	1	2	yes	—
620	C₄×Q₈	C₂³	1	4	yes	—
621	C₄×Q₈	C₂³	1	2	yes	—
622	C₄×Q₈	C₂³	1	1	yes	characteristic
623	C₄×Q₈	C₂³	1	2	yes	—
624	C₄×Q₈	C₂³	1	2	yes	—
625	C₄×Q₈	C₂³	1	4	yes	—
626	C₄×Q₈	C₂³	1	1	yes	characteristic
627	C₄×Q₈	C₂³	1	1	yes	characteristic
628	C₄×Q₈	C₂³	1	2	yes	—
629	C₄×Q₈	C₂³	1	2	yes	—
630	C₄×Q₈	C₂³	1	2	yes	—
631	C₄×Q₈	C₂³	1	1	yes	characteristic
632	C₄×Q₈	C₂³	1	1	yes	characteristic
633	C₄×Q₈	C₂³	1	2	yes	—
634	C₄×Q₈	C₂³	1	2	yes	—
635	C₄×Q₈	C₂³	1	1	yes	characteristic
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	2	yes	—
640	C₄×Q₈	C₂³	1	4	yes	—
641	C₄×Q₈	C₂³	1	2	yes	—
642	C₄×Q₈	C₂³	1	2	yes	—
643	C₄×Q₈	C₂³	1	2	yes	—
644	C₄×Q₈	C₂³	1	2	yes	—
645	C₄×Q₈	C₂³	1	4	yes	—
646	C₄×Q₈	C₂³	1	4	yes	—
647	C₄×Q₈	C₂³	1	2	yes	—
648	C₄×Q₈	C₂³	1	2	yes	—
649	C₄×Q₈	C₂³	1	2	yes	—
650	C₄×Q₈	C₂³	1	2	yes	—
651	C₄×Q₈	C₂³	1	4	yes	—
652	C₄×Q₈	C₂³	1	2	yes	—
653	C₄×Q₈	C₂³	1	4	yes	—
654	C₄×Q₈	C₂³	1	4	yes	—
655	C₄×D₄	C₂³	1	1	yes	characteristic
656	C₄×D₄	C₂³	1	1	yes	characteristic
657	C₄×D₄	C₂³	1	2	yes	—
658	C₄×D₄	C₂³	1	1	yes	characteristic
659	C₄×D₄	C₂³	1	2	yes	—
660	C₄×D₄	C₂³	1	1	yes	characteristic
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	2	yes	—
665	C₄×D₄	C₂³	1	2	yes	—
666	C₄×D₄	C₂³	1	1	yes	characteristic
667	C₄×D₄	C₂³	1	2	yes	—
668	C₄×D₄	C₂³	1	1	yes	characteristic
669	C₄×D₄	C₂³	1	4	yes	—
670	C₄×D₄	C₂³	1	2	yes	—
671	C₄×D₄	C₂³	1	2	yes	—
672	C₄×D₄	C₂³	1	1	yes	characteristic
673	C₄×D₄	C₂³	1	4	yes	—
674	C₄×D₄	C₂³	1	2	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	2	yes	—
679	C₄×D₄	C₂³	1	1	yes	characteristic
680	C₄×D₄	C₂³	1	1	yes	characteristic
681	C₄×D₄	C₂³	1	2	yes	—
682	C₄×D₄	C₂³	1	1	yes	characteristic
683	C₄×D₄	C₂³	1	1	yes	characteristic
684	C₄×D₄	C₂³	1	1	yes	characteristic
685	C₄×D₄	C₂³	1	2	yes	—
686	C₄×D₄	C₂³	1	4	yes	—
687	C₄×D₄	C₂³	1	4	yes	—
688	C₄×D₄	C₂³	1	4	yes	—
689	C₄×D₄	C₂³	1	1	yes	characteristic
690	C₄×D₄	C₂³	1	1	yes	characteristic
691	C₄×D₄	C₂³	1	4	yes	—
692	C₄×D₄	C₂³	1	2	yes	—
693	C₄×D₄	C₂³	1	1	yes	characteristic
694	C₄×D₄	C₂³	1	2	yes	—
695	C₄×D₄	C₂³	1	2	yes	—
696	C₄×D₄	C₂³	1	2	yes	—
697	C₄×D₄	C₂³	1	1	yes	characteristic
698	C₄×D₄	C₂³	1	2	yes	—
699	C₄×D₄	C₂³	1	2	yes	—
700	C₄×D₄	C₂³	1	2	yes	—
701	C₄×D₄	C₂³	1	2	yes	—
702	C₄×D₄	C₂³	1	4	yes	—
703	C₄×D₄	C₂³	1	2	yes	—
704	C₄×D₄	C₂³	1	4	yes	—
705	C₄×D₄	C₂³	1	2	yes	—
706	C₄×D₄	C₂³	1	4	yes	—
707	C₄×D₄	C₂³	1	4	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	4	yes	—
718	C₄×D₄	C₂³	1	2	yes	—
719	C₄×D₄	C₂³	1	4	yes	—
720	#117	C₂³	1	1	yes	characteristic
721	#117	C₂³	1	2	yes	—
722	#117	C₂³	1	4	yes	—
723	#117	C₂³	1	2	yes	—
724	#117	C₂³	1	4	yes	—
725	#117	C₂³	1	2	yes	—
726	#117	C₂³	1	4	yes	—
727	#117	C₂³	1	4	yes	—
728	#117	C₂³	1	4	yes	—
729	#117	C₂³	1	4	yes	—
730	#117	C₂³	1	2	yes	—
731	#117	C₂³	1	4	yes	—
732	#117	C₂³	1	4	yes	—
733	#117	C₂³	1	4	yes	—
734	#117	C₂³	1	1	yes	characteristic
735	#117	C₂³	1	2	yes	—
736	#117	C₂³	1	4	yes	—
737	#117	C₂³	1	1	yes	characteristic
738	#117	C₂³	1	2	yes	—
739	#117	C₂³	1	1	yes	characteristic
740	#117	C₂³	1	1	yes	characteristic
741	#117	C₂³	1	4	yes	—
742	#117	C₂³	1	2	yes	—
743	#117	C₂³	1	2	yes	—
744	#117	C₂³	1	2	yes	—
745	#117	C₂³	1	2	yes	—
746	#117	C₂³	1	2	yes	—
747	#117	C₂³	1	2	yes	—
748	#117	C₂³	1	2	yes	—
749	#117	C₂³	1	4	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	2	yes	—
755	#117	C₂³	1	4	yes	—
756	#117	C₂³	1	4	yes	—
757	#117	C₂³	1	2	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	2	yes	—
763	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂³	1	2	yes	—
765	C₂×C₄⋊C₄	C₂³	1	2	yes	—
766	C₂×C₄⋊C₄	C₂³	1	4	yes	—
767	C₂×C₄⋊C₄	C₂³	1	2	yes	—
768	C₂×C₄⋊C₄	C₂³	1	2	yes	—
769	C₂×C₄⋊C₄	C₂³	1	4	yes	—
770	C₂×C₄⋊C₄	C₂³	1	2	yes	—
771	C₂×C₄⋊C₄	C₂³	1	4	yes	—
772	C₂×C₄⋊C₄	C₂³	1	2	yes	—
773	C₂×C₄⋊C₄	C₂³	1	4	yes	—
774	C₂×C₄⋊C₄	C₂³	1	4	yes	—
775	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³	1	2	yes	—
777	C₂×C₄⋊C₄	C₂³	1	2	yes	—
778	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³	1	4	yes	—
782	C₂×C₄⋊C₄	C₂³	1	2	yes	—
783	C₂×C₄⋊C₄	C₂³	1	4	yes	—
784	C₂×C₄⋊C₄	C₂³	1	4	yes	—
785	C₂×C₄⋊C₄	C₂³	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³	1	2	yes	—
787	C₂×C₄⋊C₄	C₂³	1	4	yes	—
788	C₂×C₄⋊C₄	C₂³	1	4	yes	—
789	C₂×C₄⋊C₄	C₂³	1	2	yes	—
790	C₂×C₄⋊C₄	C₂³	1	4	yes	—
791	C₂×C₄⋊C₄	C₂³	1	4	yes	—
792	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
794	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
795	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
797	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
801	C₂×C₄²	C₂³	1	4	yes	—
802	C₂×C₄²	C₂³	1	4	yes	—
803	C₂×C₄²	C₂³	1	2	yes	—
804	C₂×C₄²	C₂³	1	1	yes	characteristic
805	C₂×C₄²	C₂³	1	2	yes	—
806	C₂×C₄²	C₂³	1	1	yes	characteristic
807	C₂×C₄²	C₂³	1	1	yes	characteristic
808	C₂×C₄²	C₂³	1	2	yes	—
809	C₂×C₄²	C₂³	1	2	yes	—
810	C₂⁴	C₂⁴	1	2	yes	—
811	C₂⁴	C₂⁴	1	2	yes	—
812	#41	—	2	4	no	—
813	#41	—	2	8	no	—
814	#41	—	4	4	no	—
815	#41	—	4	4	no	—
816	#41	—	4	8	no	—
817	#41	—	4	2	no	—
818	#41	—	4	2	no	—
819	#41	—	4	4	no	—
820	C₂×Q₈	—	4	4	no	—
821	C₂×Q₈	—	4	2	no	—
822	C₂×Q₈	—	4	4	no	—
823	C₂×Q₈	—	4	4	no	—
824	C₂×Q₈	—	4	2	no	—
825	C₂×Q₈	C₂⁴	1	1	yes	characteristic
826	C₂×Q₈	C₂⁴	1	2	yes	—
827	C₂×Q₈	C₂⁴	1	1	yes	characteristic
828	C₂×Q₈	C₂⁴	1	1	yes	characteristic
829	C₂×Q₈	C₂⁴	1	1	yes	characteristic
830	C₂×Q₈	C₂⁴	1	2	yes	—
831	C₂×Q₈	C₂⁴	1	2	yes	—
832	C₂×Q₈	C₂⁴	1	2	yes	—
833	C₂×Q₈	C₂⁴	1	4	yes	—
834	C₂×Q₈	C₂⁴	1	2	yes	—
835	C₂×Q₈	C₂⁴	1	4	yes	—
836	C₂×Q₈	C₂⁴	1	2	yes	—
837	C₂×Q₈	C₂⁴	1	4	yes	—
838	C₂×Q₈	C₂⁴	1	2	yes	—
839	C₂×Q₈	C₂⁴	1	4	yes	—
840	C₂×Q₈	C₂⁴	1	2	yes	—
841	C₂×Q₈	C₂⁴	1	1	yes	characteristic
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	4	4	no	—
845	C₂×D₄	C₂⁴	1	2	yes	—
846	C₂×D₄	C₂⁴	1	4	yes	—
847	C₂×D₄	C₂⁴	1	2	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	1	yes	characteristic
856	C₂×D₄	C₂⁴	1	2	yes	—
857	C₂×D₄	C₂⁴	1	1	yes	characteristic
858	C₂×D₄	C₂⁴	1	2	yes	—
859	C₂×D₄	C₂⁴	1	2	yes	—
860	C₂×D₄	C₂⁴	1	4	yes	—
861	C₂×D₄	C₂⁴	1	2	yes	—
862	C₂×D₄	C₂⁴	1	4	yes	—
863	C₂×D₄	C₂⁴	1	2	yes	—
864	C₂×D₄	C₂⁴	1	2	yes	—
865	C₂×D₄	C₂⁴	1	2	yes	—
866	C₂×D₄	C₂⁴	1	1	yes	characteristic
867	C₂²×C₄	—	4	4	no	—
868	C₂²×C₄	—	4	4	no	—
869	C₂²×C₄	—	4	8	no	—
870	C₂²×C₄	C₂⁴	1	2	yes	—
871	C₂²×C₄	C₂⁴	1	1	yes	characteristic
872	C₂²×C₄	C₂⁴	1	1	yes	characteristic
873	C₂²×C₄	C₂⁴	1	4	yes	—
874	C₂²×C₄	C₂⁴	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴	1	2	yes	—
876	C₂²×C₄	C₂⁴	1	2	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	1	yes	characteristic
881	C₂²×C₄	C₂⁴	1	1	yes	characteristic
882	C₂²×C₄	C₂⁴	1	4	yes	—
883	C₂²×C₄	C₂⁴	1	2	yes	—
884	C₂²×C₄	C₂⁴	1	2	yes	—
885	C₂²×C₄	C₂⁴	1	2	yes	—
886	C₂²×C₄	C₂⁴	1	4	yes	—
887	C₂²×C₄	C₂⁴	1	4	yes	—
888	C₂²×C₄	C₂⁴	1	2	yes	—
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	1	yes	characteristic
895	C₂²×C₄	C₂⁴	1	2	yes	—
896	C₂²×C₄	C₂⁴	1	2	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	2	yes	—
902	C₂²×C₄	C₂⁴	1	4	yes	—
903	C₂²×C₄	C₂⁴	1	4	yes	—
904	C₂²×C₄	C₂⁴	1	4	yes	—
905	C₂²×C₄	C₂⁴	1	2	yes	—
906	C₂²×C₄	C₂⁴	1	4	yes	—
907	C₂²×C₄	C₂⁴	1	2	yes	—
908	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
909	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
910	C₄⋊C₄	C₂⁴	1	2	yes	—
911	C₄⋊C₄	C₂⁴	1	2	yes	—
912	C₄⋊C₄	C₂⁴	1	4	yes	—
913	C₄⋊C₄	C₂⁴	1	2	yes	—
914	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
915	C₄⋊C₄	C₂⁴	1	4	yes	—
916	C₄⋊C₄	C₂⁴	1	4	yes	—
917	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
918	C₄⋊C₄	C₂⁴	1	2	yes	—
919	C₄⋊C₄	C₂⁴	1	2	yes	—
920	C₄⋊C₄	C₂⁴	1	4	yes	—
921	C₄⋊C₄	C₂⁴	1	4	yes	—
922	C₄⋊C₄	C₂⁴	1	4	yes	—
923	C₄⋊C₄	C₂⁴	1	2	yes	—
924	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
925	C₄⋊C₄	C₂⁴	1	2	yes	—
926	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
927	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
928	C₄⋊C₄	C₂⁴	1	2	yes	—
929	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
930	C₄⋊C₄	C₂⁴	1	2	yes	—
931	C₄⋊C₄	C₂⁴	1	2	yes	—
932	C₄⋊C₄	C₂⁴	1	4	yes	—
933	C₄⋊C₄	C₂⁴	1	2	yes	—
934	C₄⋊C₄	C₂⁴	1	4	yes	—
935	C₄⋊C₄	C₂⁴	1	4	yes	—
936	C₄⋊C₄	C₂⁴	1	2	yes	—
937	C₄⋊C₄	C₂⁴	1	4	yes	—
938	C₄⋊C₄	C₂⁴	1	4	yes	—
939	C₄⋊C₄	C₂⁴	1	2	yes	—
940	C₄⋊C₄	C₂⁴	1	2	yes	—
941	C₄⋊C₄	C₂⁴	1	4	yes	—
942	C₄⋊C₄	C₂⁴	1	2	yes	—
943	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
944	C₄⋊C₄	C₂⁴	1	2	yes	—
945	C₄⋊C₄	C₂⁴	1	2	yes	—
946	C₄⋊C₄	C₂⁴	1	4	yes	—
947	C₄⋊C₄	C₂⁴	1	4	yes	—
948	C₄⋊C₄	C₂⁴	1	4	yes	—
949	C₄⋊C₄	C₂⁴	1	4	yes	—
950	C₄⋊C₄	C₂⁴	1	4	yes	—
951	C₄⋊C₄	C₂⁴	1	2	yes	—
952	C₄⋊C₄	C₂⁴	1	2	yes	—
953	C₄⋊C₄	C₂⁴	1	2	yes	—
954	C₄⋊C₄	C₂⁴	1	2	yes	—
955	C₄⋊C₄	C₂⁴	1	4	yes	—
956	C₄⋊C₄	C₂⁴	1	2	yes	—
957	C₄⋊C₄	C₂⁴	1	4	yes	—
958	C₄⋊C₄	C₂⁴	1	4	yes	—
959	C₄⋊C₄	C₂⁴	1	4	yes	—
960	C₄⋊C₄	C₂⁴	1	4	yes	—
961	C₄⋊C₄	C₂⁴	1	4	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	2	yes	—
968	C₄⋊C₄	C₂⁴	1	4	yes	—
969	C₄⋊C₄	C₂⁴	1	2	yes	—
970	C₄⋊C₄	C₂⁴	1	2	yes	—
971	C₄⋊C₄	C₂⁴	1	2	yes	—
972	C₄⋊C₄	C₂⁴	1	4	yes	—
973	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴	1	2	yes	—
975	C₄⋊C₄	C₂⁴	1	2	yes	—
976	C₄⋊C₄	C₂⁴	1	2	yes	—
977	C₄⋊C₄	C₂⁴	1	2	yes	—
978	C₄⋊C₄	C₂⁴	1	2	yes	—
979	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
980	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴	1	2	yes	—
983	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
992	C₄⋊C₄	C₂⁴	1	2	yes	—
993	C₄⋊C₄	C₂⁴	1	4	yes	—
994	C₄⋊C₄	C₂⁴	1	2	yes	—
995	C₄⋊C₄	C₂⁴	1	4	yes	—
996	C₄⋊C₄	C₂⁴	1	4	yes	—
997	C₄⋊C₄	C₂⁴	1	2	yes	—
998	C₄⋊C₄	C₂⁴	1	4	yes	—
999	C₄⋊C₄	C₂⁴	1	2	yes	—
1000	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
1005	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1006	C₂²⋊C₄	C₂⁴	1	2	yes	—
1007	C₂²⋊C₄	C₂⁴	1	4	yes	—
1008	C₂²⋊C₄	C₂⁴	1	2	yes	—
1009	C₂²⋊C₄	C₂⁴	1	2	yes	—
1010	C₂²⋊C₄	C₂⁴	1	4	yes	—
1011	C₂²⋊C₄	C₂⁴	1	2	yes	—
1012	C₂²⋊C₄	C₂⁴	1	4	yes	—
1013	C₂²⋊C₄	C₂⁴	1	2	yes	—
1014	C₂²⋊C₄	C₂⁴	1	2	yes	—
1015	C₂²⋊C₄	C₂⁴	1	4	yes	—
1016	C₂²⋊C₄	C₂⁴	1	2	yes	—
1017	C₂²⋊C₄	C₂⁴	1	4	yes	—
1018	C₂²⋊C₄	C₂⁴	1	2	yes	—
1019	C₂²⋊C₄	C₂⁴	1	4	yes	—
1020	C₂²⋊C₄	C₂⁴	1	4	yes	—
1021	C₂²⋊C₄	C₂⁴	1	4	yes	—
1022	C₂²⋊C₄	C₂⁴	1	4	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	2	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	4	yes	—
1033	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1034	C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
1040	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1041	C₂²⋊C₄	C₂⁴	1	2	yes	—
1042	C₂²⋊C₄	C₂⁴	1	2	yes	—
1043	C₂²⋊C₄	C₂⁴	1	4	yes	—
1044	C₂²⋊C₄	C₂⁴	1	4	yes	—
1045	C₂²⋊C₄	C₂⁴	1	2	yes	—
1046	C₂²⋊C₄	C₂⁴	1	2	yes	—
1047	C₂²⋊C₄	C₂⁴	1	2	yes	—
1048	C₂²⋊C₄	C₂⁴	1	4	yes	—
1049	C₂²⋊C₄	C₂⁴	1	4	yes	—
1050	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1051	C₂²⋊C₄	C₂⁴	1	2	yes	—
1052	C₂²⋊C₄	C₂⁴	1	2	yes	—
1053	C₂²⋊C₄	C₂⁴	1	2	yes	—
1054	C₂²⋊C₄	C₂⁴	1	4	yes	—
1055	C₂²⋊C₄	C₂⁴	1	4	yes	—
1056	C₂²⋊C₄	C₂⁴	1	4	yes	—
1057	C₂²⋊C₄	C₂⁴	1	2	yes	—
1058	C₂²⋊C₄	C₂⁴	1	2	yes	—
1059	C₄²	C₂⁴	1	2	yes	—
1060	C₄²	C₂⁴	1	2	yes	—
1061	C₄²	C₂⁴	1	1	yes	characteristic
1062	C₄²	C₂⁴	1	1	yes	characteristic
1063	C₄²	C₂⁴	1	2	yes	—
1064	C₄²	C₂⁴	1	1	yes	characteristic
1065	C₄²	C₂⁴	1	4	yes	—
1066	C₄²	C₂⁴	1	2	yes	—
1067	C₄²	C₂⁴	1	4	yes	—
1068	C₄²	C₂⁴	1	4	yes	—
1069	C₄²	C₂⁴	1	4	yes	—
1070	C₄²	C₂⁴	1	2	yes	—
1071	C₄²	C₂⁴	1	1	yes	characteristic
1072	C₄²	C₂⁴	1	4	yes	—
1073	C₄²	C₂⁴	1	2	yes	—
1074	C₄²	C₂⁴	1	1	yes	characteristic
1075	C₄²	C₂⁴	1	2	yes	—
1076	C₄²	C₂⁴	1	1	yes	characteristic
1077	C₄²	C₂⁴	1	2	yes	—
1078	C₄²	C₂⁴	1	1	yes	characteristic
1079	C₄²	C₂⁴	1	1	yes	characteristic
1080	C₄²	C₂⁴	1	2	yes	—
1081	C₄²	C₂⁴	1	1	yes	characteristic
1082	C₄²	C₂⁴	1	1	yes	characteristic
1083	C₄²	C₂⁴	1	2	yes	—
1084	C₄²	C₂⁴	1	4	yes	—
1085	C₄²	C₂⁴	1	2	yes	—
1086	C₄²	C₂⁴	1	2	yes	—
1087	C₄²	C₂⁴	1	4	yes	—
1088	C₄²	C₂⁴	1	4	yes	—
1089	C₄²	C₂⁴	1	4	yes	—
1090	C₄²	C₂⁴	1	4	yes	—
1091	C₄²	C₂⁴	1	4	yes	—
1092	C₂³	—	2	4	no	—
1093	C₂³	—	2	4	no	—
1094	C₂³	—	2	4	no	—
1095	C₂³	—	4	2	no	—
1096	C₂³	—	4	2	no	—
1097	C₂³	—	4	2	no	—
1098	C₂³	C₂⁵	1	1	yes	characteristic
1099	C₂³	C₂⁵	1	2	yes	—
1100	C₂³	C₂⁵	1	2	yes	—
1101	C₂³	C₂⁵	1	1	yes	characteristic
1102	C₂³	C₂⁵	1	2	yes	—
1103	C₂³	C₂⁵	1	2	yes	—
1104	C₂³	C₂⁵	1	1	yes	characteristic
1105	Q₈	—	2	2	no	—
1106	Q₈	—	2	4	no	—
1107	Q₈	—	2	2	no	—
1108	Q₈	—	2	2	no	—
1109	Q₈	—	2	2	no	—
1110	Q₈	—	2	4	no	—
1111	Q₈	—	4	2	no	—
1112	Q₈	—	4	4	no	—
1113	Q₈	—	4	2	no	—
1114	Q₈	—	4	4	no	—
1115	Q₈	—	4	2	no	—
1116	Q₈	—	4	4	no	—
1117	Q₈	—	4	2	no	—
1118	Q₈	—	4	2	no	—
1119	Q₈	—	4	2	no	—
1120	Q₈	—	4	4	no	—
1121	Q₈	—	4	1	no	—
1122	D₄	—	2	4	no	—
1123	D₄	—	2	4	no	—
1124	D₄	—	2	4	no	—
1125	D₄	—	2	8	no	—
1126	D₄	—	2	2	no	—
1127	D₄	—	2	4	no	—
1128	D₄	—	2	2	no	—
1129	D₄	—	2	4	no	—
1130	D₄	—	2	2	no	—
1131	D₄	—	2	2	no	—
1132	D₄	—	2	2	no	—
1133	D₄	—	4	2	no	—
1134	D₄	—	4	2	no	—
1135	D₄	—	4	2	no	—
1136	D₄	—	4	2	no	—
1137	D₄	—	4	2	no	—
1138	D₄	—	4	4	no	—
1139	D₄	—	4	2	no	—
1140	D₄	—	4	1	no	—
1141	D₄	—	4	2	no	—
1142	D₄	—	4	4	no	—
1143	D₄	2₋¹⁺⁴	1	4	yes	—
1144	C₂×C₄	—	2	4	no	—
1145	C₂×C₄	—	2	8	no	—
1146	C₂×C₄	—	2	4	no	—
1147	C₂×C₄	—	2	8	no	—
1148	C₂×C₄	—	2	2	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	4	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	4	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	4	no	—
1157	C₂×C₄	—	2	4	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	4	2	no	—
1160	C₂×C₄	—	4	4	no	—
1161	C₂×C₄	—	4	2	no	—
1162	C₂×C₄	—	4	4	no	—
1163	C₂×C₄	—	4	2	no	—
1164	C₂×C₄	—	4	2	no	—
1165	C₂×C₄	—	4	4	no	—
1166	C₂×C₄	—	4	4	no	—
1167	C₂×C₄	—	4	2	no	—
1168	C₂×C₄	—	4	2	no	—
1169	C₂×C₄	—	4	2	no	—
1170	C₂×C₄	—	4	2	no	—
1171	C₂×C₄	—	4	4	no	—
1172	C₂×C₄	—	4	4	no	—
1173	C₂×C₄	—	4	2	no	—
1174	C₂×C₄	—	4	2	no	—
1175	C₂×C₄	—	4	2	no	—
1176	C₂×C₄	—	4	2	no	—
1177	C₂×C₄	—	4	4	no	—
1178	C₂×C₄	—	4	4	no	—
1179	C₂×C₄	—	4	4	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	C₂⁵	1	1	yes	characteristic
1183	C₂×C₄	C₂⁵	1	1	yes	characteristic
1184	C₂×C₄	C₂⁵	1	2	yes	—
1185	C₂×C₄	C₂⁵	1	2	yes	—
1186	C₂×C₄	C₂⁵	1	4	yes	—
1187	C₂×C₄	C₂⁵	1	1	yes	characteristic
1188	C₂×C₄	C₂⁵	1	1	yes	characteristic
1189	C₂×C₄	C₂⁵	1	1	yes	characteristic
1190	C₂×C₄	C₂⁵	1	1	yes	characteristic
1191	C₂×C₄	C₂⁵	1	2	yes	—
1192	C₂×C₄	C₂⁵	1	1	yes	characteristic
1193	C₂×C₄	C₂⁵	1	2	yes	—
1194	C₂×C₄	C₂⁵	1	2	yes	—
1195	C₂×C₄	C₂⁵	1	2	yes	—
1196	C₂×C₄	C₂⁵	1	4	yes	—
1197	C₂×C₄	C₂⁵	1	1	yes	characteristic
1198	C₂×C₄	C₂⁵	1	2	yes	—
1199	C₂×C₄	C₂⁵	1	2	yes	—
1200	C₂×C₄	C₂⁵	1	4	yes	—
1201	C₂×C₄	C₂⁵	1	2	yes	—
1202	C₂×C₄	C₂⁵	1	1	yes	characteristic
1203	C₂×C₄	C₂⁵	1	2	yes	—
1204	C₂×C₄	C₂⁵	1	1	yes	characteristic
1205	C₂×C₄	C₂⁵	1	4	yes	—
1206	C₂×C₄	C₂⁵	1	2	yes	—
1207	C₂×C₄	C₂⁵	1	2	yes	—
1208	C₂×C₄	C₂⁵	1	1	yes	characteristic
1209	C₂×C₄	C₂⁵	1	1	yes	characteristic
1210	C₂²	—	2	1	no	—
1211	C₂²	—	2	1	no	—
1212	C₂²	—	2	2	no	—
1213	C₂²	—	2	2	no	—
1214	C₂²	—	2	1	no	—
1215	C₂²	—	2	2	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	2	no	—
1218	C₂²	—	2	2	no	—
1219	C₂²	—	2	2	no	—
1220	C₂²	—	2	1	no	—
1221	C₂²	—	2	1	no	—
1222	C₂²	—	2	2	no	—
1223	C₂²	—	2	2	no	—
1224	C₂²	—	2	1	no	—
1225	C₂²	—	2	2	no	—
1226	C₂²	—	2	2	no	—
1227	C₂²	—	2	2	no	—
1228	C₂²	—	2	1	no	—
1229	C₂²	—	4	8	no	—
1230	C₂²	—	8	4	no	—
1231	C₂²	C₂×2₋¹⁺⁴	1	4	yes	—
1232	C₂²	#585	1	2	yes	—
1233	C₂²	C₂⁶	1	1	yes	characteristic
1234	C₄	—	2	1	no	—
1235	C₄	—	2	2	no	—
1236	C₄	—	2	1	no	—
1237	C₄	—	2	1	no	—
1238	C₄	—	2	2	no	—
1239	C₄	—	2	4	no	—
1240	C₄	—	2	2	no	—
1241	C₄	—	2	1	no	—
1242	C₄	—	2	2	no	—
1243	C₄	—	2	2	no	—
1244	C₄	—	2	4	no	—
1245	C₄	—	2	2	no	—
1246	C₄	—	2	1	no	—
1247	C₄	—	2	4	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	1	no	—
1250	C₄	—	2	1	no	—
1251	C₄	—	2	1	no	—
1252	C₄	—	2	1	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	1	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	2	4	no	—
1257	C₄	—	2	2	no	—
1258	C₄	—	2	2	no	—
1259	C₄	—	2	2	no	—
1260	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1261	C₄	#585	1	2	yes	—
1262	C₂	—	2	2	no	—
1263	C₂	—	2	4	no	—
1264	C₂	—	4	1	no	—
1265	C₂	—	4	2	no	—
1266	C₂	—	4	2	no	—
1267	C₂	—	4	2	no	—
1268	C₂	—	4	1	no	—
1269	C₂	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1270	C₂	C₂×#585	1	1	yes	characteristic
1271	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. #3565	C₂	semidirect
2. #3564	C₂	semidirect
3. #3563	C₂	semidirect
4. #3563	C₂	semidirect
5. #3557	C₂	semidirect
6. #3555	C₂	semidirect
7. #3553	C₂	semidirect
8. #3547	C₂	semidirect
9. #3544	C₂	semidirect
10. #3541	C₂	semidirect
11. #3538	C₂	semidirect
12. #3535	C₂	semidirect
13. #3523	C₂	semidirect
14. #3521	C₂	semidirect
15. #3520	C₂	semidirect
16. #3520	C₂	semidirect
17. #3516	C₂	semidirect
18. #3515	C₂	semidirect
19. #3515	C₂	semidirect
20. #3515	C₂	semidirect
21. #3513	C₂	semidirect
22. #3509	C₂	semidirect
23. #3507	C₂	semidirect
24. #3504	C₂	semidirect
25. #3501	C₂	semidirect
26. #3495	C₂	semidirect
27. #3495	C₂	semidirect
28. #3492	C₂	semidirect
29. #3482	C₂	semidirect
30. #3481	C₂	semidirect
31. Q₈×#41	C₂	semidirect
32. #3475	C₂	semidirect
33. #3475	C₂	semidirect
34. C₂×#554	C₂	semidirect
35. C₂×#552	C₂	semidirect
36. #564	C₂²	semidirect
37. #563	C₂²	semidirect
38. #563	C₂²	semidirect
39. #563	C₂²	semidirect
40. #563	C₂²	semidirect
41. #563	C₂²	semidirect
42. #563	C₂²	semidirect
43. #562	C₂²	semidirect
44. #562	C₂²	semidirect
47. Q₈²	C₂²	semidirect
48. #557	C₂²	semidirect
49. #557	C₂²	semidirect
50. #557	C₂²	semidirect
51. #557	C₂²	semidirect
52. #557	C₂²	semidirect
53. #557	C₂²	semidirect
54. #557	C₂²	semidirect
55. #557	C₂²	semidirect
56. #557	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. #556	C₂²	semidirect
66. #556	C₂²	semidirect
67. #556	C₂²	semidirect
68. #555	C₂²	semidirect
69. #555	C₂²	semidirect
77. #554	C₂²	semidirect
78. #554	C₂²	semidirect
79. #554	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
86. #554	C₂²	semidirect
87. #554	C₂²	semidirect
88. #554	C₂²	semidirect
89. #554	C₂²	semidirect
90. #554	C₂²	semidirect
91. #554	C₂²	semidirect
92. #554	C₂²	semidirect
93. #554	C₂²	semidirect
94. #554	C₂²	semidirect
100. #553	C₂²	semidirect
101. #553	C₂²	semidirect
102. #553	C₂²	semidirect
103. #553	C₂²	semidirect
104. #553	C₂²	semidirect
109. #552	C₂²	semidirect
110. #552	C₂²	semidirect
111. #552	C₂²	semidirect
112. #552	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
127. #552	C₂²	semidirect
128. #552	C₂²	semidirect
129. #552	C₂²	semidirect
130. #552	C₂²	semidirect
131. #552	C₂²	semidirect
132. #552	C₂²	semidirect
133. #552	C₂²	semidirect
134. #552	C₂²	semidirect
135. #552	C₂²	semidirect
136. #552	C₂²	semidirect
137. #552	C₂²	semidirect
138. #552	C₂²	semidirect
139. #552	C₂²	semidirect
144. #551	C₂²	semidirect
145. #551	C₂²	semidirect
146. #551	C₂²	semidirect
147. #551	C₂²	semidirect
148. #551	C₂²	semidirect
149. #551	C₂²	semidirect
151. D₄×Q₈	C₂²	semidirect
152. D₄×Q₈	C₂²	semidirect
153. D₄×Q₈	C₂²	semidirect
154. D₄×Q₈	C₂²	semidirect
155. D₄×Q₈	C₂²	semidirect
157. #548	C₂²	semidirect
158. #548	C₂²	semidirect
159. #548	C₂²	semidirect
164. #547	C₂²	semidirect
165. #547	C₂²	semidirect
166. #547	C₂²	semidirect
167. #547	C₂²	semidirect
168. #547	C₂²	semidirect
176. #544	C₂²	semidirect
177. #544	C₂²	semidirect
178. #544	C₂²	semidirect
179. #544	C₂²	semidirect
180. #544	C₂²	semidirect
181. #544	C₂²	semidirect
182. #544	C₂²	semidirect
183. #544	C₂²	semidirect
184. #543	C₂²	semidirect
186. #542	C₂²	semidirect
187. #542	C₂²	semidirect
188. #542	C₂²	semidirect
189. #542	C₂²	semidirect
190. #542	C₂²	semidirect
191. #542	C₂²	semidirect
192. #542	C₂²	semidirect
193. #542	C₂²	semidirect
194. #541	C₂²	semidirect
195. #541	C₂²	semidirect
196. #541	C₂²	semidirect
197. #541	C₂²	semidirect
198. #541	C₂²	semidirect
199. #541	C₂²	semidirect
200. #541	C₂²	semidirect
201. #541	C₂²	semidirect
202. #541	C₂²	semidirect
203. #541	C₂²	semidirect
204. #541	C₂²	semidirect
205. #541	C₂²	semidirect
206. #541	C₂²	semidirect
210. #539	C₂²	semidirect
211. #539	C₂²	semidirect
212. #539	C₂²	semidirect
213. #539	C₂²	semidirect
214. #539	C₂²	semidirect
215. #539	C₂²	semidirect
216. #539	C₂²	semidirect
217. #539	C₂²	semidirect
218. #539	C₂²	semidirect
219. #539	C₂²	semidirect
221. #538	C₂²	semidirect
222. #537	C₂²	semidirect
224. #536	C₂²	semidirect
225. #536	C₂²	semidirect
226. #536	C₂²	semidirect
227. #533	C₂²	semidirect
228. #533	C₂²	semidirect
229. #533	C₂²	semidirect
230. #533	C₂²	semidirect
231. #533	C₂²	semidirect
232. #533	C₂²	semidirect
233. #533	C₂²	semidirect
234. #533	C₂²	semidirect
235. #533	C₂²	semidirect
236. #533	C₂²	semidirect
237. #533	C₂²	semidirect
238. #533	C₂²	semidirect
240. C₂×C₄⋊Q₈	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. #529	C₂²	semidirect
258. C₂×#126	C₂²	semidirect
259. C₂×#125	C₂²	semidirect
260. C₂×#125	C₂²	semidirect
261. C₂×#125	C₂²	semidirect
262. C₂×#125	C₂²	semidirect
266. #525	C₂²	semidirect
267. #525	C₂²	semidirect
268. #525	C₂²	semidirect
270. C₂×C₂²⋊Q₈	C₂²	semidirect
271. C₂×C₂²⋊Q₈	C₂²	semidirect
272. C₂×C₂²⋊Q₈	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. #519	C₂²	semidirect
281. #519	C₂²	semidirect
287. C₄×#41	C₂²	semidirect
288. C₄×#41	C₂²	semidirect
289. C₂×C₄×Q₈	C₂²	semidirect
290. C₂×C₄×Q₈	C₂²	semidirect
291. C₂×C₄×Q₈	C₂²	semidirect
296. C₂×#117	C₂²	semidirect
297. C₂×#117	C₂²	semidirect
298. C₂²×C₄⋊C₄	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3565	2
#3564	2
#3563	2
#3557	2
#3555	2
#3553	2
#3547	2
#3544	2
#3541	2
#3538	2
#3535	2
#3523	2
#3521	2
#3520	2
#3516	2
#3515	2
#3513	2
#3509	2
#3507	2
#3504	2
#3501	2
#3495	2
#3492	2
#3482	2
#3481	2
Q₈×#41	2
#3475	2
C₂×#554	2
C₂×#552	2