Subgroups — #62950

Order 256.

3178 conjugacy classes of subgroups.

The subgroup lattice has 1250 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	#3564	C₂	1	4	yes	maximal, complemented
4	#3563	C₂	1	2	yes	maximal, complemented
5	#3563	C₂	1	2	yes	maximal, complemented
6	#3563	C₂	1	4	yes	maximal, complemented
7	#3556	C₂	1	1	yes	maximal, characteristic, complemented
8	#3555	C₂	1	1	yes	maximal, characteristic, complemented
9	#3555	C₂	1	2	yes	maximal, complemented
10	#3555	C₂	1	1	yes	maximal, characteristic, complemented
11	#3555	C₂	1	2	yes	maximal, complemented
12	#3553	C₂	1	4	yes	maximal, complemented
13	#3552	C₂	1	2	yes	maximal, complemented
14	#3552	C₂	1	1	yes	maximal, characteristic, complemented
15	#3541	C₂	1	2	yes	maximal, complemented
16	#3538	C₂	1	2	yes	maximal, complemented
17	#3523	C₂	1	2	yes	maximal, complemented
18	#3523	C₂	1	1	yes	maximal, characteristic, complemented
19	#3521	C₂	1	2	yes	maximal, complemented
20	#3521	C₂	1	2	yes	maximal, complemented
21	#3520	C₂	1	1	yes	maximal, characteristic, complemented
22	#3516	C₂	1	2	yes	maximal, complemented
23	#3515	C₂	1	1	yes	maximal, characteristic, complemented
24	#3515	C₂	1	2	yes	maximal, complemented
25	#3515	C₂	1	1	yes	maximal, characteristic, complemented
26	#3509	C₂	1	1	yes	maximal, characteristic, complemented
27	#3504	C₂	1	2	yes	maximal, complemented
28	#3503	C₂	1	1	yes	maximal, characteristic, complemented
29	#3501	C₂	1	1	yes	maximal, characteristic, complemented
30	#3495	C₂	1	2	yes	maximal, complemented
31	#3482	C₂	1	1	yes	maximal, characteristic, complemented
32	Q₈×#41	C₂	1	1	yes	maximal, characteristic, complemented
33	#3475	C₂	1	1	yes	maximal, characteristic, complemented
34	#3461	C₂	1	1	yes	maximal, characteristic, complemented
35	C₂×#541	C₂	1	2	yes	maximal, complemented
36	#564	C₂²	1	4	yes	complemented
37	#564	C₂²	1	4	yes	complemented
38	#563	C₂²	1	4	yes	—
39	#563	C₂²	1	4	yes	—
40	#563	C₂²	1	4	yes	—
41	#563	C₂²	1	4	yes	complemented
42	#563	C₂²	1	4	yes	complemented
43	#563	C₂²	1	4	yes	complemented
44	#563	C₂²	1	4	yes	complemented
45	#563	C₂²	1	4	yes	complemented
46	#563	C₂²	1	4	yes	complemented
47	#562	C₂²	1	4	yes	complemented
48	Q₈²	C₂²	1	1	yes	characteristic, complemented
49	Q₈²	C₂²	1	2	yes	complemented
50	#557	C₂²	1	1	yes	characteristic, complemented
51	#557	C₂²	1	2	yes	complemented
52	#557	C₂²	1	1	yes	characteristic, complemented
53	#557	C₂²	1	1	yes	characteristic, complemented
54	#557	C₂²	1	1	yes	characteristic, complemented
55	#557	C₂²	1	2	yes	complemented
56	#557	C₂²	1	2	yes	complemented
57	#557	C₂²	1	2	yes	complemented
58	#557	C₂²	1	2	yes	complemented
59	#557	C₂²	1	2	yes	complemented
60	#557	C₂²	1	1	yes	characteristic, complemented
61	#557	C₂²	1	2	yes	complemented
62	#557	C₂²	1	2	yes	complemented
63	#557	C₂²	1	2	yes	complemented
64	#557	C₂²	1	2	yes	complemented
65	#557	C₂²	1	4	yes	complemented
66	#556	C₂²	1	1	yes	characteristic
67	#556	C₂²	1	4	yes	—
68	#556	C₂²	1	2	yes	—
69	#556	C₂²	1	2	yes	—
70	#556	C₂²	1	1	yes	characteristic
71	#556	C₂²	1	2	yes	—
72	#556	C₂²	1	2	yes	—
73	#556	C₂²	1	2	yes	—
74	#556	C₂²	1	1	yes	characteristic, complemented
75	#556	C₂²	1	2	yes	complemented
76	#556	C₂²	1	2	yes	complemented
77	#556	C₂²	1	4	yes	complemented
78	#556	C₂²	1	2	yes	complemented
79	#556	C₂²	1	4	yes	complemented
80	#555	C₂²	1	1	yes	characteristic
81	#554	C₂²	1	1	yes	characteristic
82	#554	C₂²	1	1	yes	characteristic
83	#554	C₂²	1	2	yes	—
84	#554	C₂²	1	2	yes	—
85	#554	C₂²	1	1	yes	characteristic
86	#554	C₂²	1	2	yes	—
87	#554	C₂²	1	4	yes	—
88	#554	C₂²	1	2	yes	—
89	#554	C₂²	1	2	yes	—
90	#554	C₂²	1	2	yes	—
91	#554	C₂²	1	2	yes	complemented
92	#554	C₂²	1	4	yes	complemented
93	#554	C₂²	1	4	yes	complemented
94	#554	C₂²	1	4	yes	complemented
95	#554	C₂²	1	4	yes	complemented
96	#554	C₂²	1	4	yes	complemented
97	#554	C₂²	1	4	yes	complemented
98	#554	C₂²	1	1	yes	characteristic, complemented
99	#554	C₂²	1	2	yes	complemented
100	#553	C₂²	1	2	yes	—
101	#553	C₂²	1	2	yes	—
102	#553	C₂²	1	4	yes	—
103	#553	C₂²	1	4	yes	—
104	#553	C₂²	1	2	yes	—
105	#553	C₂²	1	2	yes	complemented
106	#553	C₂²	1	4	yes	complemented
107	#552	C₂²	1	1	yes	characteristic
108	#552	C₂²	1	2	yes	—
109	#552	C₂²	1	1	yes	characteristic
110	#552	C₂²	1	4	yes	—
111	#552	C₂²	1	2	yes	—
112	#552	C₂²	1	2	yes	—
113	#552	C₂²	1	2	yes	—
114	#552	C₂²	1	4	yes	—
115	#552	C₂²	1	2	yes	—
116	#552	C₂²	1	4	yes	—
117	#552	C₂²	1	2	yes	complemented
118	#552	C₂²	1	4	yes	complemented
119	#552	C₂²	1	4	yes	complemented
120	#552	C₂²	1	4	yes	complemented
121	#552	C₂²	1	4	yes	complemented
122	#552	C₂²	1	2	yes	complemented
123	#552	C₂²	1	2	yes	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	4	yes	complemented
130	#552	C₂²	1	4	yes	complemented
131	#552	C₂²	1	2	yes	complemented
132	#552	C₂²	1	2	yes	complemented
133	#552	C₂²	1	4	yes	complemented
134	#552	C₂²	1	2	yes	complemented
135	#552	C₂²	1	4	yes	complemented
136	#551	C₂²	1	2	yes	—
137	#551	C₂²	1	2	yes	—
138	#551	C₂²	1	4	yes	—
139	#551	C₂²	1	4	yes	—
140	#551	C₂²	1	4	yes	—
141	#551	C₂²	1	4	yes	—
142	#551	C₂²	1	4	yes	—
143	D₄×Q₈	C₂²	1	1	yes	characteristic
144	D₄×Q₈	C₂²	1	1	yes	characteristic
145	D₄×Q₈	C₂²	1	1	yes	characteristic
146	D₄×Q₈	C₂²	1	2	yes	—
147	D₄×Q₈	C₂²	1	2	yes	complemented
148	D₄×Q₈	C₂²	1	2	yes	complemented
149	D₄×Q₈	C₂²	1	2	yes	complemented
150	D₄×Q₈	C₂²	1	2	yes	complemented
151	D₄×Q₈	C₂²	1	2	yes	complemented
152	#548	C₂²	1	2	yes	—
153	#548	C₂²	1	2	yes	complemented
154	#548	C₂²	1	2	yes	complemented
155	#547	C₂²	1	1	yes	characteristic
156	#547	C₂²	1	1	yes	characteristic
157	#547	C₂²	1	2	yes	—
158	#547	C₂²	1	2	yes	—
159	#547	C₂²	1	1	yes	characteristic
160	#547	C₂²	1	2	yes	complemented
161	#546	C₂²	1	1	yes	characteristic
162	#546	C₂²	1	1	yes	characteristic
163	#546	C₂²	1	2	yes	—
164	#544	C₂²	1	2	yes	—
165	#544	C₂²	1	1	yes	characteristic, complemented
166	#544	C₂²	1	2	yes	complemented
167	#544	C₂²	1	4	yes	complemented
168	#544	C₂²	1	2	yes	complemented
169	#544	C₂²	1	4	yes	complemented
170	#544	C₂²	1	2	yes	complemented
171	#544	C₂²	1	2	yes	complemented
172	#544	C₂²	1	4	yes	complemented
173	#544	C₂²	1	4	yes	complemented
174	#544	C₂²	1	4	yes	complemented
175	#543	C₂²	1	4	yes	—
176	#542	C₂²	1	1	yes	characteristic
177	#542	C₂²	1	2	yes	—
178	#542	C₂²	1	2	yes	—
179	#542	C₂²	1	2	yes	—
180	#542	C₂²	1	2	yes	—
181	#542	C₂²	1	2	yes	—
182	#542	C₂²	1	4	yes	—
183	#542	C₂²	1	1	yes	characteristic, complemented
184	#542	C₂²	1	4	yes	complemented
185	#542	C₂²	1	4	yes	complemented
186	#541	C₂²	1	1	yes	characteristic
187	#541	C₂²	1	2	yes	—
188	#541	C₂²	1	2	yes	—
189	#541	C₂²	1	2	yes	—
190	#541	C₂²	1	4	yes	—
191	#541	C₂²	1	4	yes	—
192	#541	C₂²	1	2	yes	—
193	#541	C₂²	1	2	yes	—
194	#541	C₂²	1	2	yes	—
195	#541	C₂²	1	4	yes	—
196	#541	C₂²	1	2	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	4	yes	complemented
201	#541	C₂²	1	4	yes	complemented
202	#541	C₂²	1	1	yes	characteristic, complemented
203	#541	C₂²	1	2	yes	complemented
204	#541	C₂²	1	2	yes	complemented
205	#541	C₂²	1	2	yes	complemented
206	#541	C₂²	1	2	yes	complemented
207	#541	C₂²	1	2	yes	complemented
208	#541	C₂²	1	4	yes	complemented
209	#541	C₂²	1	4	yes	complemented
210	#541	C₂²	1	4	yes	complemented
211	#541	C₂²	1	4	yes	complemented
212	#541	C₂²	1	4	yes	complemented
213	#541	C₂²	1	4	yes	complemented
214	#541	C₂²	1	4	yes	complemented
215	#541	C₂²	1	4	yes	complemented
216	#539	C₂²	1	2	yes	—
217	#539	C₂²	1	4	yes	—
218	#539	C₂²	1	4	yes	—
219	#539	C₂²	1	4	yes	—
220	#539	C₂²	1	4	yes	—
221	#539	C₂²	1	2	yes	complemented
222	#539	C₂²	1	4	yes	complemented
223	#539	C₂²	1	4	yes	complemented
224	#539	C₂²	1	4	yes	complemented
225	#539	C₂²	1	4	yes	complemented
226	#539	C₂²	1	4	yes	complemented
227	#539	C₂²	1	4	yes	complemented
228	#538	C₂²	1	4	yes	—
229	#538	C₂²	1	4	yes	—
230	#537	C₂²	1	1	yes	characteristic
231	#536	C₂²	1	1	yes	characteristic
232	#536	C₂²	1	2	yes	—
233	#536	C₂²	1	1	yes	characteristic, complemented
234	#536	C₂²	1	2	yes	complemented
235	#533	C₂²	1	1	yes	characteristic
236	#533	C₂²	1	1	yes	characteristic
237	#533	C₂²	1	1	yes	characteristic
238	#533	C₂²	1	1	yes	characteristic
239	#533	C₂²	1	1	yes	characteristic, complemented
240	#533	C₂²	1	2	yes	complemented
241	#533	C₂²	1	2	yes	complemented
242	#533	C₂²	1	1	yes	characteristic, complemented
243	#533	C₂²	1	2	yes	complemented
244	#533	C₂²	1	4	yes	complemented
245	#533	C₂²	1	1	yes	characteristic, complemented
246	#533	C₂²	1	2	yes	complemented
247	#533	C₂²	1	2	yes	complemented
248	#533	C₂²	1	4	yes	complemented
249	#533	C₂²	1	1	yes	characteristic, complemented
250	#533	C₂²	1	2	yes	complemented
251	C₂×C₄⋊Q₈	C₂²	1	2	yes	complemented
252	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
253	#529	C₂²	1	1	yes	characteristic
254	#529	C₂²	1	2	yes	—
255	#529	C₂²	1	2	yes	—
256	#529	C₂²	1	1	yes	characteristic
257	#529	C₂²	1	2	yes	—
258	#529	C₂²	1	1	yes	characteristic
259	#529	C₂²	1	2	yes	—
260	#529	C₂²	1	2	yes	—
261	#529	C₂²	1	4	yes	—
262	#529	C₂²	1	4	yes	—
263	#529	C₂²	1	2	yes	—
264	#529	C₂²	1	1	yes	characteristic, complemented
265	#529	C₂²	1	2	yes	complemented
266	#529	C₂²	1	2	yes	complemented
267	#529	C₂²	1	4	yes	complemented
268	#529	C₂²	1	2	yes	complemented
269	#529	C₂²	1	4	yes	complemented
270	C₂×#126	C₂²	1	4	yes	—
271	C₂×#126	C₂²	1	4	yes	—
272	C₂×#125	C₂²	1	4	yes	complemented
273	C₂×#125	C₂²	1	2	yes	complemented
274	C₂×#125	C₂²	1	4	yes	complemented
275	C₂×#125	C₂²	1	2	yes	complemented
276	#525	C₂²	1	2	yes	—
277	#525	C₂²	1	2	yes	—
278	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
279	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
280	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
281	#520	C₂²	1	2	yes	—
282	#520	C₂²	1	2	yes	—
283	#520	C₂²	1	2	yes	—
284	#520	C₂²	1	2	yes	complemented
285	#519	C₂²	1	2	yes	complemented
286	#519	C₂²	1	2	yes	complemented
287	#518	C₂²	1	2	yes	—
288	C₄×#41	C₂²	1	1	yes	characteristic
289	C₄×#41	C₂²	1	1	yes	characteristic
290	C₄×#41	C₂²	1	1	yes	characteristic
291	C₄×#41	C₂²	1	2	yes	—
292	C₄×#41	C₂²	1	2	yes	—
293	C₄×#41	C₂²	1	1	yes	characteristic, complemented
294	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
295	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
296	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
297	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
298	C₂×#117	C₂²	1	2	yes	—
299	C₂×#41	C₂³	1	1	yes	characteristic
300	C₂×#41	C₂³	1	1	yes	characteristic
301	C₂×#41	C₂³	1	2	yes	—
302	C₂×#41	C₂³	1	1	yes	characteristic
303	C₂×#41	C₂³	1	1	yes	characteristic
304	C₂×#41	C₂³	1	2	yes	—
305	C₂²×Q₈	C₂³	1	2	yes	—
306	C₂²×Q₈	C₂³	1	2	yes	—
307	C₂²×Q₈	C₂³	1	1	yes	characteristic
308	C₂²×Q₈	C₂³	1	2	yes	—
309	C₂²×Q₈	C₂³	1	2	yes	—
310	C₂²×D₄	C₂³	1	1	yes	characteristic
311	C₂³×C₄	C₂³	1	2	yes	—
312	C₄⋊Q₈	C₂³	1	1	yes	characteristic
313	C₄⋊Q₈	C₂³	1	2	yes	—
314	C₄⋊Q₈	C₂³	1	1	yes	characteristic
315	C₄⋊Q₈	C₂³	1	1	yes	characteristic
316	C₄⋊Q₈	C₂³	1	4	yes	—
317	C₄⋊Q₈	C₂³	1	2	yes	—
318	C₄⋊Q₈	C₂³	1	2	yes	—
319	C₄⋊Q₈	C₂³	1	4	yes	—
320	C₄⋊Q₈	C₂³	1	2	yes	—
321	C₄⋊Q₈	C₂³	1	2	yes	—
322	C₄⋊Q₈	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	4	yes	—
335	C₄⋊Q₈	C₂³	1	2	yes	—
336	C₄⋊Q₈	C₂³	1	2	yes	—
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	C₄⋊Q₈	C₂³	1	4	yes	—
346	C₄⋊Q₈	C₂³	1	4	yes	—
347	C₄⋊Q₈	C₂³	1	4	yes	—
348	C₄⋊Q₈	C₂³	1	4	yes	—
349	C₄⋊Q₈	C₂³	1	4	yes	—
350	#126	C₂³	1	2	yes	—
351	#126	C₂³	1	2	yes	—
352	#126	C₂³	1	4	yes	—
353	#126	C₂³	1	4	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	4	yes	—
361	#126	C₂³	1	4	yes	—
362	#126	C₂³	1	4	yes	—
363	#126	C₂³	1	4	yes	—
364	#126	C₂³	1	4	yes	—
365	#126	C₂³	1	4	yes	—
366	#126	C₂³	1	2	yes	—
367	#126	C₂³	1	2	yes	—
368	#126	C₂³	1	2	yes	—
369	#126	C₂³	1	2	yes	—
370	#126	C₂³	1	2	yes	—
371	#126	C₂³	1	2	yes	—
372	#126	C₂³	1	2	yes	—
373	#126	C₂³	1	2	yes	—
374	#126	C₂³	1	2	yes	—
375	#126	C₂³	1	2	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	2	yes	—
382	#126	C₂³	1	2	yes	—
383	#126	C₂³	1	4	yes	—
384	#126	C₂³	1	4	yes	—
385	#126	C₂³	1	4	yes	—
386	#126	C₂³	1	4	yes	—
387	#126	C₂³	1	4	yes	—
388	#126	C₂³	1	4	yes	—
389	#126	C₂³	1	4	yes	—
390	#126	C₂³	1	4	yes	—
391	#126	C₂³	1	4	yes	—
392	#126	C₂³	1	4	yes	—
393	#126	C₂³	1	4	yes	—
394	#126	C₂³	1	4	yes	—
395	#126	C₂³	1	4	yes	—
396	#126	C₂³	1	4	yes	—
397	#126	C₂³	1	4	yes	—
398	#125	C₂³	1	1	yes	characteristic
399	#125	C₂³	1	2	yes	—
400	#125	C₂³	1	1	yes	characteristic
401	#125	C₂³	1	4	yes	—
402	#125	C₂³	1	2	yes	—
403	#125	C₂³	1	2	yes	—
404	#125	C₂³	1	4	yes	—
405	#125	C₂³	1	2	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	#125	C₂³	1	4	yes	—
415	#125	C₂³	1	2	yes	—
416	#125	C₂³	1	4	yes	—
417	#125	C₂³	1	2	yes	—
418	#125	C₂³	1	4	yes	—
419	#125	C₂³	1	4	yes	—
420	#125	C₂³	1	4	yes	—
421	#125	C₂³	1	4	yes	—
422	#125	C₂³	1	2	yes	—
423	#125	C₂³	1	2	yes	—
424	#125	C₂³	1	4	yes	—
425	#125	C₂³	1	4	yes	—
426	#125	C₂³	1	4	yes	—
427	#125	C₂³	1	2	yes	—
428	#125	C₂³	1	2	yes	—
429	#125	C₂³	1	1	yes	characteristic
430	#125	C₂³	1	2	yes	—
431	#125	C₂³	1	2	yes	—
432	#125	C₂³	1	1	yes	characteristic
433	#125	C₂³	1	2	yes	—
434	#125	C₂³	1	4	yes	—
435	#125	C₂³	1	2	yes	—
436	#125	C₂³	1	2	yes	—
437	#125	C₂³	1	2	yes	—
438	#125	C₂³	1	2	yes	—
439	#125	C₂³	1	2	yes	—
440	#125	C₂³	1	2	yes	—
441	#125	C₂³	1	2	yes	—
442	#125	C₂³	1	4	yes	—
443	#125	C₂³	1	4	yes	—
444	#125	C₂³	1	2	yes	—
445	#125	C₂³	1	2	yes	—
446	#125	C₂³	1	4	yes	—
447	#125	C₂³	1	2	yes	—
448	#125	C₂³	1	4	yes	—
449	#125	C₂³	1	4	yes	—
450	#125	C₂³	1	4	yes	—
451	#125	C₂³	1	4	yes	—
452	#125	C₂³	1	4	yes	—
453	#125	C₂³	1	4	yes	—
454	#125	C₂³	1	4	yes	—
455	#125	C₂³	1	4	yes	—
456	#125	C₂³	1	4	yes	—
457	#125	C₂³	1	4	yes	—
458	#125	C₂³	1	4	yes	—
459	#125	C₂³	1	4	yes	—
460	#125	C₂³	1	4	yes	—
461	#125	C₂³	1	4	yes	—
462	#125	C₂³	1	4	yes	—
463	#125	C₂³	1	4	yes	—
464	#125	C₂³	1	4	yes	—
465	#125	C₂³	1	4	yes	—
466	#125	C₂³	1	4	yes	—
467	#125	C₂³	1	4	yes	—
468	#124	C₂³	1	1	yes	characteristic
469	#124	C₂³	1	2	yes	—
470	#124	C₂³	1	1	yes	characteristic
471	#124	C₂³	1	4	yes	—
472	#124	C₂³	1	4	yes	—
473	#124	C₂³	1	1	yes	characteristic
474	#124	C₂³	1	2	yes	—
475	#124	C₂³	1	2	yes	—
476	#124	C₂³	1	2	yes	—
477	#124	C₂³	1	2	yes	—
478	#124	C₂³	1	1	yes	characteristic
479	#124	C₂³	1	2	yes	—
480	#124	C₂³	1	2	yes	—
481	#124	C₂³	1	4	yes	—
482	#124	C₂³	1	4	yes	—
483	#124	C₂³	1	4	yes	—
484	#124	C₂³	1	4	yes	—
485	#123	C₂³	1	2	yes	—
486	#123	C₂³	1	4	yes	—
487	#123	C₂³	1	2	yes	—
488	#123	C₂³	1	2	yes	—
489	#123	C₂³	1	2	yes	—
490	#123	C₂³	1	4	yes	—
491	#123	C₂³	1	2	yes	—
492	#123	C₂³	1	2	yes	—
493	#123	C₂³	1	4	yes	—
494	#123	C₂³	1	4	yes	—
495	#123	C₂³	1	2	yes	—
496	#123	C₂³	1	4	yes	—
497	#123	C₂³	1	2	yes	—
498	#123	C₂³	1	2	yes	—
499	#123	C₂³	1	4	yes	—
500	#123	C₂³	1	2	yes	—
501	#123	C₂³	1	2	yes	—
502	#123	C₂³	1	2	yes	—
503	#123	C₂³	1	2	yes	—
504	#123	C₂³	1	2	yes	—
505	#123	C₂³	1	2	yes	—
506	#123	C₂³	1	4	yes	—
507	#123	C₂³	1	4	yes	—
508	#123	C₂³	1	4	yes	—
509	#123	C₂³	1	2	yes	—
510	#123	C₂³	1	4	yes	—
511	#123	C₂³	1	4	yes	—
512	#123	C₂³	1	4	yes	—
513	#123	C₂³	1	4	yes	—
514	#123	C₂³	1	4	yes	—
515	#123	C₂³	1	4	yes	—
516	#123	C₂³	1	4	yes	—
517	#123	C₂³	1	4	yes	—
518	#123	C₂³	1	4	yes	—
519	#123	C₂³	1	4	yes	—
520	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
521	C₂²⋊Q₈	C₂³	1	2	yes	—
522	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
523	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
524	C₂²⋊Q₈	C₂³	1	2	yes	—
525	C₂²⋊Q₈	C₂³	1	2	yes	—
526	C₂²⋊Q₈	C₂³	1	2	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	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	2	yes	—
539	C₂²⋊Q₈	C₂³	1	2	yes	—
540	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
541	C₂²⋊Q₈	C₂³	1	2	yes	—
542	C₂²⋊Q₈	C₂³	1	2	yes	—
543	C₂²⋊Q₈	C₂³	1	4	yes	—
544	C₂²⋊Q₈	C₂³	1	2	yes	—
545	C₂²⋊Q₈	C₂³	1	2	yes	—
546	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
547	C₂²⋊Q₈	C₂³	1	2	yes	—
548	C₂²⋊Q₈	C₂³	1	4	yes	—
549	C₂²⋊Q₈	C₂³	1	2	yes	—
550	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
551	C₂²⋊Q₈	C₂³	1	2	yes	—
552	C₂²⋊Q₈	C₂³	1	4	yes	—
553	C₂²⋊Q₈	C₂³	1	4	yes	—
554	C₂²⋊Q₈	C₂³	1	2	yes	—
555	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
556	C₂²⋊Q₈	C₂³	1	2	yes	—
557	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
558	C₂²⋊Q₈	C₂³	1	2	yes	—
559	C₂²⋊Q₈	C₂³	1	2	yes	—
560	C₂²⋊Q₈	C₂³	1	2	yes	—
561	C₂²⋊Q₈	C₂³	1	2	yes	—
562	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
563	C₂²⋊Q₈	C₂³	1	2	yes	—
564	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
565	C₂²⋊Q₈	C₂³	1	2	yes	—
566	C₂²⋊Q₈	C₂³	1	4	yes	—
567	C₂²⋊Q₈	C₂³	1	4	yes	—
568	C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
575	C₂²⋊Q₈	C₂³	1	2	yes	—
576	C₂²⋊Q₈	C₂³	1	2	yes	—
577	C₂²⋊Q₈	C₂³	1	2	yes	—
578	C₂²⋊Q₈	C₂³	1	4	yes	—
579	C₂²⋊Q₈	C₂³	1	4	yes	—
580	C₂²⋊Q₈	C₂³	1	4	yes	—
581	C₂²⋊Q₈	C₂³	1	2	yes	—
582	C₂²⋊Q₈	C₂³	1	2	yes	—
583	C₂²⋊Q₈	C₂³	1	2	yes	—
584	C₂²⋊Q₈	C₂³	1	4	yes	—
585	C₂²⋊Q₈	C₂³	1	4	yes	—
586	C₂²⋊Q₈	C₂³	1	4	yes	—
587	C₂²⋊Q₈	C₂³	1	4	yes	—
588	C₂²⋊Q₈	C₂³	1	4	yes	—
589	C₂²⋊Q₈	C₂³	1	4	yes	—
590	C₂²⋊Q₈	C₂³	1	4	yes	—
591	C₂²⋊Q₈	C₂³	1	4	yes	—
592	C₂²⋊Q₈	C₂³	1	4	yes	—
593	C₂²⋊Q₈	C₂³	1	4	yes	—
594	C₂²⋊Q₈	C₂³	1	4	yes	—
595	C₂²⋊Q₈	C₂³	1	4	yes	—
596	C₂²⋊Q₈	C₂³	1	4	yes	—
597	C₂²⋊Q₈	C₂³	1	4	yes	—
598	C₂²⋊Q₈	C₂³	1	4	yes	—
599	C₂²⋊Q₈	C₂³	1	4	yes	—
600	C₂²⋊Q₈	C₂³	1	4	yes	—
601	C₂²⋊Q₈	C₂³	1	4	yes	—
602	C₂²⋊Q₈	C₂³	1	4	yes	—
603	#121	C₂³	1	1	yes	characteristic
604	#121	C₂³	1	2	yes	—
605	#121	C₂³	1	2	yes	—
606	#121	C₂³	1	2	yes	—
607	#121	C₂³	1	2	yes	—
608	#121	C₂³	1	1	yes	characteristic
609	#121	C₂³	1	2	yes	—
610	#121	C₂³	1	2	yes	—
611	#121	C₂³	1	4	yes	—
612	#121	C₂³	1	2	yes	—
613	#121	C₂³	1	2	yes	—
614	#121	C₂³	1	1	yes	characteristic
615	#121	C₂³	1	2	yes	—
616	#121	C₂³	1	1	yes	characteristic
617	#121	C₂³	1	4	yes	—
618	#121	C₂³	1	4	yes	—
619	#121	C₂³	1	4	yes	—
620	#121	C₂³	1	4	yes	—
621	#120	C₂³	1	2	yes	—
622	#120	C₂³	1	2	yes	—
623	#120	C₂³	1	4	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	1	yes	characteristic
628	C₄×Q₈	C₂³	1	2	yes	—
629	C₄×Q₈	C₂³	1	1	yes	characteristic
630	C₄×Q₈	C₂³	1	2	yes	—
631	C₄×Q₈	C₂³	1	1	yes	characteristic
632	C₄×Q₈	C₂³	1	4	yes	—
633	C₄×Q₈	C₂³	1	4	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	2	yes	—
639	C₄×Q₈	C₂³	1	4	yes	—
640	C₄×Q₈	C₂³	1	4	yes	—
641	C₄×Q₈	C₂³	1	1	yes	characteristic
642	C₄×Q₈	C₂³	1	1	yes	characteristic
643	C₄×Q₈	C₂³	1	1	yes	characteristic
644	C₄×Q₈	C₂³	1	2	yes	—
645	C₄×Q₈	C₂³	1	1	yes	characteristic
646	C₄×Q₈	C₂³	1	2	yes	—
647	C₄×Q₈	C₂³	1	2	yes	—
648	C₄×Q₈	C₂³	1	1	yes	characteristic
649	C₄×Q₈	C₂³	1	2	yes	—
650	C₄×Q₈	C₂³	1	1	yes	characteristic
651	C₄×Q₈	C₂³	1	1	yes	characteristic
652	C₄×Q₈	C₂³	1	4	yes	—
653	C₄×Q₈	C₂³	1	2	yes	—
654	C₄×Q₈	C₂³	1	2	yes	—
655	C₄×Q₈	C₂³	1	2	yes	—
656	C₄×Q₈	C₂³	1	4	yes	—
657	C₄×Q₈	C₂³	1	4	yes	—
658	C₄×Q₈	C₂³	1	4	yes	—
659	C₄×Q₈	C₂³	1	2	yes	—
660	C₄×Q₈	C₂³	1	2	yes	—
661	C₄×Q₈	C₂³	1	2	yes	—
662	C₄×Q₈	C₂³	1	2	yes	—
663	C₄×Q₈	C₂³	1	2	yes	—
664	C₄×Q₈	C₂³	1	2	yes	—
665	C₄×Q₈	C₂³	1	2	yes	—
666	C₄×Q₈	C₂³	1	2	yes	—
667	C₄×Q₈	C₂³	1	2	yes	—
668	C₄×Q₈	C₂³	1	2	yes	—
669	C₄×Q₈	C₂³	1	4	yes	—
670	C₄×Q₈	C₂³	1	2	yes	—
671	C₄×Q₈	C₂³	1	4	yes	—
672	C₄×Q₈	C₂³	1	2	yes	—
673	C₄×Q₈	C₂³	1	2	yes	—
674	C₄×Q₈	C₂³	1	4	yes	—
675	C₄×Q₈	C₂³	1	4	yes	—
676	C₄×Q₈	C₂³	1	2	yes	—
677	C₄×Q₈	C₂³	1	4	yes	—
678	C₄×Q₈	C₂³	1	4	yes	—
679	C₄×D₄	C₂³	1	1	yes	characteristic
680	C₄×D₄	C₂³	1	1	yes	characteristic
681	C₄×D₄	C₂³	1	1	yes	characteristic
682	C₄×D₄	C₂³	1	2	yes	—
683	C₄×D₄	C₂³	1	2	yes	—
684	C₄×D₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
694	C₄×D₄	C₂³	1	1	yes	characteristic
695	C₄×D₄	C₂³	1	2	yes	—
696	C₄×D₄	C₂³	1	4	yes	—
697	C₄×D₄	C₂³	1	4	yes	—
698	C₄×D₄	C₂³	1	4	yes	—
699	C₄×D₄	C₂³	1	1	yes	characteristic
700	C₄×D₄	C₂³	1	4	yes	—
701	C₄×D₄	C₂³	1	2	yes	—
702	C₄×D₄	C₂³	1	1	yes	characteristic
703	C₄×D₄	C₂³	1	1	yes	characteristic
704	C₄×D₄	C₂³	1	1	yes	characteristic
705	C₄×D₄	C₂³	1	1	yes	characteristic
706	C₄×D₄	C₂³	1	2	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	2	yes	—
711	C₄×D₄	C₂³	1	2	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	4	yes	—
719	C₄×D₄	C₂³	1	4	yes	—
720	C₄×D₄	C₂³	1	2	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	2	yes	—
725	C₄×D₄	C₂³	1	2	yes	—
726	C₄×D₄	C₂³	1	4	yes	—
727	C₄×D₄	C₂³	1	4	yes	—
728	C₄×D₄	C₂³	1	4	yes	—
729	#117	C₂³	1	1	yes	characteristic
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	2	yes	—
736	#117	C₂³	1	2	yes	—
737	#117	C₂³	1	1	yes	characteristic
738	#117	C₂³	1	1	yes	characteristic
739	#117	C₂³	1	2	yes	—
740	#117	C₂³	1	4	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	1	yes	characteristic
746	#117	C₂³	1	2	yes	—
747	#117	C₂³	1	1	yes	characteristic
748	#117	C₂³	1	2	yes	—
749	#117	C₂³	1	2	yes	—
750	#117	C₂³	1	2	yes	—
751	#117	C₂³	1	2	yes	—
752	#117	C₂³	1	4	yes	—
753	#117	C₂³	1	4	yes	—
754	#117	C₂³	1	4	yes	—
755	#117	C₂³	1	4	yes	—
756	#117	C₂³	1	2	yes	—
757	#117	C₂³	1	2	yes	—
758	#117	C₂³	1	2	yes	—
759	#117	C₂³	1	2	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	#117	C₂³	1	4	yes	—
767	#117	C₂³	1	4	yes	—
768	#117	C₂³	1	2	yes	—
769	#117	C₂³	1	4	yes	—
770	#117	C₂³	1	2	yes	—
771	#117	C₂³	1	4	yes	—
772	C₂×C₄⋊C₄	C₂³	1	2	yes	—
773	C₂×C₄⋊C₄	C₂³	1	2	yes	—
774	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	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	4	yes	—
783	C₂×C₄⋊C₄	C₂³	1	4	yes	—
784	C₂×C₄⋊C₄	C₂³	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³	1	2	yes	—
787	C₂×C₄⋊C₄	C₂³	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³	1	4	yes	—
789	C₂×C₄⋊C₄	C₂³	1	4	yes	—
790	C₂×C₄⋊C₄	C₂³	1	4	yes	—
791	C₂×C₄⋊C₄	C₂³	1	4	yes	—
792	C₂×C₄⋊C₄	C₂³	1	4	yes	—
793	C₂×C₄⋊C₄	C₂³	1	4	yes	—
794	C₂×C₄⋊C₄	C₂³	1	2	yes	—
795	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
799	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
800	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
801	C₂×C₄²	C₂³	1	2	yes	—
802	C₂×C₄²	C₂³	1	2	yes	—
803	C₂×C₄²	C₂³	1	1	yes	characteristic
804	C₂×C₄²	C₂³	1	1	yes	characteristic
805	C₂×C₄²	C₂³	1	4	yes	—
806	C₂×C₄²	C₂³	1	4	yes	—
807	C₂×C₄²	C₂³	1	2	yes	—
808	C₂×C₄²	C₂³	1	1	yes	characteristic
809	C₂×C₄²	C₂³	1	2	yes	—
810	C₂⁴	C₂⁴	1	2	yes	—
811	#41	—	2	4	no	—
812	#41	—	2	4	no	—
813	#41	—	2	8	no	—
814	#41	—	4	2	no	—
815	#41	—	4	4	no	—
816	#41	—	4	2	no	—
817	C₂×Q₈	—	4	4	no	—
818	C₂×Q₈	—	4	4	no	—
819	C₂×Q₈	—	4	4	no	—
820	C₂×Q₈	—	4	4	no	—
821	C₂×Q₈	—	4	2	no	—
822	C₂×Q₈	C₂⁴	1	1	yes	characteristic
823	C₂×Q₈	C₂⁴	1	1	yes	characteristic
824	C₂×Q₈	C₂⁴	1	2	yes	—
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	2	yes	—
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	2	yes	—
834	C₂×Q₈	C₂⁴	1	4	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	4	yes	—
839	C₂×Q₈	C₂⁴	1	1	yes	characteristic
840	C₂×Q₈	C₂⁴	1	4	yes	—
841	C₂×D₄	—	2	4	no	—
842	C₂×D₄	C₂⁴	1	2	yes	—
843	C₂×D₄	C₂⁴	1	2	yes	—
844	C₂×D₄	C₂⁴	1	4	yes	—
845	C₂×D₄	C₂⁴	1	2	yes	—
846	C₂×D₄	C₂⁴	1	1	yes	characteristic
847	C₂×D₄	C₂⁴	1	1	yes	characteristic
848	C₂×D₄	C₂⁴	1	2	yes	—
849	C₂×D₄	C₂⁴	1	2	yes	—
850	C₂×D₄	C₂⁴	1	2	yes	—
851	C₂×D₄	C₂⁴	1	2	yes	—
852	C₂×D₄	C₂⁴	1	1	yes	characteristic
853	C₂×D₄	C₂⁴	1	1	yes	characteristic
854	C₂×D₄	C₂⁴	1	4	yes	—
855	C₂×D₄	C₂⁴	1	1	yes	characteristic
856	C₂×D₄	C₂⁴	1	2	yes	—
857	C₂×D₄	C₂⁴	1	1	yes	characteristic
858	C₂²×C₄	—	4	4	no	—
859	C₂²×C₄	C₂⁴	1	2	yes	—
860	C₂²×C₄	C₂⁴	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴	1	2	yes	—
862	C₂²×C₄	C₂⁴	1	2	yes	—
863	C₂²×C₄	C₂⁴	1	4	yes	—
864	C₂²×C₄	C₂⁴	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴	1	2	yes	—
866	C₂²×C₄	C₂⁴	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴	1	2	yes	—
871	C₂²×C₄	C₂⁴	1	2	yes	—
872	C₂²×C₄	C₂⁴	1	1	yes	characteristic
873	C₂²×C₄	C₂⁴	1	2	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	1	yes	characteristic
878	C₂²×C₄	C₂⁴	1	2	yes	—
879	C₂²×C₄	C₂⁴	1	2	yes	—
880	C₂²×C₄	C₂⁴	1	2	yes	—
881	C₂²×C₄	C₂⁴	1	1	yes	characteristic
882	C₂²×C₄	C₂⁴	1	2	yes	—
883	C₂²×C₄	C₂⁴	1	4	yes	—
884	C₂²×C₄	C₂⁴	1	4	yes	—
885	C₂²×C₄	C₂⁴	1	2	yes	—
886	C₂²×C₄	C₂⁴	1	2	yes	—
887	C₂²×C₄	C₂⁴	1	4	yes	—
888	C₂²×C₄	C₂⁴	1	4	yes	—
889	C₂²×C₄	C₂⁴	1	4	yes	—
890	C₂²×C₄	C₂⁴	1	2	yes	—
891	C₄⋊C₄	C₂⁴	1	2	yes	—
892	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
893	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
894	C₄⋊C₄	C₂⁴	1	2	yes	—
895	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
896	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
897	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
898	C₄⋊C₄	C₂⁴	1	2	yes	—
899	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
900	C₄⋊C₄	C₂⁴	1	2	yes	—
901	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
902	C₄⋊C₄	C₂⁴	1	4	yes	—
903	C₄⋊C₄	C₂⁴	1	2	yes	—
904	C₄⋊C₄	C₂⁴	1	4	yes	—
905	C₄⋊C₄	C₂⁴	1	2	yes	—
906	C₄⋊C₄	C₂⁴	1	4	yes	—
907	C₄⋊C₄	C₂⁴	1	2	yes	—
908	C₄⋊C₄	C₂⁴	1	4	yes	—
909	C₄⋊C₄	C₂⁴	1	2	yes	—
910	C₄⋊C₄	C₂⁴	1	4	yes	—
911	C₄⋊C₄	C₂⁴	1	2	yes	—
912	C₄⋊C₄	C₂⁴	1	2	yes	—
913	C₄⋊C₄	C₂⁴	1	2	yes	—
914	C₄⋊C₄	C₂⁴	1	4	yes	—
915	C₄⋊C₄	C₂⁴	1	4	yes	—
916	C₄⋊C₄	C₂⁴	1	2	yes	—
917	C₄⋊C₄	C₂⁴	1	4	yes	—
918	C₄⋊C₄	C₂⁴	1	2	yes	—
919	C₄⋊C₄	C₂⁴	1	4	yes	—
920	C₄⋊C₄	C₂⁴	1	2	yes	—
921	C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
923	C₄⋊C₄	C₂⁴	1	2	yes	—
924	C₄⋊C₄	C₂⁴	1	2	yes	—
925	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
926	C₄⋊C₄	C₂⁴	1	2	yes	—
927	C₄⋊C₄	C₂⁴	1	4	yes	—
928	C₄⋊C₄	C₂⁴	1	2	yes	—
929	C₄⋊C₄	C₂⁴	1	2	yes	—
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	4	yes	—
934	C₄⋊C₄	C₂⁴	1	4	yes	—
935	C₄⋊C₄	C₂⁴	1	4	yes	—
936	C₄⋊C₄	C₂⁴	1	4	yes	—
937	C₄⋊C₄	C₂⁴	1	2	yes	—
938	C₄⋊C₄	C₂⁴	1	4	yes	—
939	C₄⋊C₄	C₂⁴	1	2	yes	—
940	C₄⋊C₄	C₂⁴	1	4	yes	—
941	C₄⋊C₄	C₂⁴	1	4	yes	—
942	C₄⋊C₄	C₂⁴	1	2	yes	—
943	C₄⋊C₄	C₂⁴	1	4	yes	—
944	C₄⋊C₄	C₂⁴	1	4	yes	—
945	C₄⋊C₄	C₂⁴	1	4	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	4	yes	—
953	C₄⋊C₄	C₂⁴	1	4	yes	—
954	C₄⋊C₄	C₂⁴	1	2	yes	—
955	C₄⋊C₄	C₂⁴	1	4	yes	—
956	C₄⋊C₄	C₂⁴	1	4	yes	—
957	C₄⋊C₄	C₂⁴	1	4	yes	—
958	C₄⋊C₄	C₂⁴	1	2	yes	—
959	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
960	C₄⋊C₄	C₂⁴	1	2	yes	—
961	C₄⋊C₄	C₂⁴	1	2	yes	—
962	C₄⋊C₄	C₂⁴	1	2	yes	—
963	C₄⋊C₄	C₂⁴	1	2	yes	—
964	C₄⋊C₄	C₂⁴	1	2	yes	—
965	C₄⋊C₄	C₂⁴	1	4	yes	—
966	C₄⋊C₄	C₂⁴	1	2	yes	—
967	C₄⋊C₄	C₂⁴	1	2	yes	—
968	C₄⋊C₄	C₂⁴	1	2	yes	—
969	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
970	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴	1	2	yes	—
972	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴	1	2	yes	—
974	C₄⋊C₄	C₂⁴	1	2	yes	—
975	C₄⋊C₄	C₂⁴	1	4	yes	—
976	C₄⋊C₄	C₂⁴	1	4	yes	—
977	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
978	C₄⋊C₄	C₂⁴	1	2	yes	—
979	C₄⋊C₄	C₂⁴	1	4	yes	—
980	C₄⋊C₄	C₂⁴	1	4	yes	—
981	C₄⋊C₄	C₂⁴	1	2	yes	—
982	C₄⋊C₄	C₂⁴	1	4	yes	—
983	C₄⋊C₄	C₂⁴	1	4	yes	—
984	C₄⋊C₄	C₂⁴	1	4	yes	—
985	C₄⋊C₄	C₂⁴	1	4	yes	—
986	C₄⋊C₄	C₂⁴	1	2	yes	—
987	C₄⋊C₄	C₂⁴	1	4	yes	—
988	C₄⋊C₄	C₂⁴	1	4	yes	—
989	C₄⋊C₄	C₂⁴	1	2	yes	—
990	C₄⋊C₄	C₂⁴	1	2	yes	—
991	C₄⋊C₄	C₂⁴	1	2	yes	—
992	C₄⋊C₄	C₂⁴	1	2	yes	—
993	C₄⋊C₄	C₂⁴	1	2	yes	—
994	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
995	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
996	C₂²⋊C₄	C₂⁴	1	2	yes	—
997	C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
1005	C₂²⋊C₄	C₂⁴	1	4	yes	—
1006	C₂²⋊C₄	C₂⁴	1	2	yes	—
1007	C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
1012	C₂²⋊C₄	C₂⁴	1	4	yes	—
1013	C₂²⋊C₄	C₂⁴	1	4	yes	—
1014	C₂²⋊C₄	C₂⁴	1	4	yes	—
1015	C₂²⋊C₄	C₂⁴	1	2	yes	—
1016	C₂²⋊C₄	C₂⁴	1	2	yes	—
1017	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1018	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1019	C₂²⋊C₄	C₂⁴	1	2	yes	—
1020	C₂²⋊C₄	C₂⁴	1	4	yes	—
1021	C₂²⋊C₄	C₂⁴	1	2	yes	—
1022	C₂²⋊C₄	C₂⁴	1	2	yes	—
1023	C₂²⋊C₄	C₂⁴	1	4	yes	—
1024	C₂²⋊C₄	C₂⁴	1	4	yes	—
1025	C₂²⋊C₄	C₂⁴	1	2	yes	—
1026	C₂²⋊C₄	C₂⁴	1	2	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	4	yes	—
1031	C₂²⋊C₄	C₂⁴	1	4	yes	—
1032	C₂²⋊C₄	C₂⁴	1	2	yes	—
1033	C₂²⋊C₄	C₂⁴	1	2	yes	—
1034	C₂²⋊C₄	C₂⁴	1	2	yes	—
1035	C₂²⋊C₄	C₂⁴	1	2	yes	—
1036	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1037	C₂²⋊C₄	C₂⁴	1	4	yes	—
1038	C₂²⋊C₄	C₂⁴	1	2	yes	—
1039	C₂²⋊C₄	C₂⁴	1	2	yes	—
1040	C₂²⋊C₄	C₂⁴	1	4	yes	—
1041	C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
1046	C₂²⋊C₄	C₂⁴	1	2	yes	—
1047	C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
1048	C₂²⋊C₄	C₂⁴	1	2	yes	—
1049	C₂²⋊C₄	C₂⁴	1	2	yes	—
1050	C₄²	C₂⁴	1	1	yes	characteristic
1051	C₄²	C₂⁴	1	1	yes	characteristic
1052	C₄²	C₂⁴	1	1	yes	characteristic
1053	C₄²	C₂⁴	1	1	yes	characteristic
1054	C₄²	C₂⁴	1	2	yes	—
1055	C₄²	C₂⁴	1	2	yes	—
1056	C₄²	C₂⁴	1	2	yes	—
1057	C₄²	C₂⁴	1	2	yes	—
1058	C₄²	C₂⁴	1	1	yes	characteristic
1059	C₄²	C₂⁴	1	4	yes	—
1060	C₄²	C₂⁴	1	2	yes	—
1061	C₄²	C₂⁴	1	4	yes	—
1062	C₄²	C₂⁴	1	2	yes	—
1063	C₄²	C₂⁴	1	2	yes	—
1064	C₄²	C₂⁴	1	1	yes	characteristic
1065	C₄²	C₂⁴	1	2	yes	—
1066	C₄²	C₂⁴	1	2	yes	—
1067	C₄²	C₂⁴	1	2	yes	—
1068	C₄²	C₂⁴	1	1	yes	characteristic
1069	C₄²	C₂⁴	1	2	yes	—
1070	C₄²	C₂⁴	1	2	yes	—
1071	C₄²	C₂⁴	1	1	yes	characteristic
1072	C₄²	C₂⁴	1	2	yes	—
1073	C₄²	C₂⁴	1	4	yes	—
1074	C₄²	C₂⁴	1	4	yes	—
1075	C₄²	C₂⁴	1	1	yes	characteristic
1076	C₄²	C₂⁴	1	1	yes	characteristic
1077	C₄²	C₂⁴	1	4	yes	—
1078	C₄²	C₂⁴	1	4	yes	—
1079	C₄²	C₂⁴	1	4	yes	—
1080	C₄²	C₂⁴	1	4	yes	—
1081	C₄²	C₂⁴	1	4	yes	—
1082	C₄²	C₂⁴	1	4	yes	—
1083	C₄²	C₂⁴	1	4	yes	—
1084	C₄²	C₂⁴	1	4	yes	—
1085	C₄²	C₂⁴	1	4	yes	—
1086	C₂³	—	2	4	no	—
1087	C₂³	—	4	2	no	—
1088	C₂³	—	4	2	no	—
1089	C₂³	C₂⁵	1	1	yes	characteristic
1090	C₂³	C₂⁵	1	2	yes	—
1091	C₂³	C₂⁵	1	1	yes	characteristic
1092	C₂³	C₂⁵	1	1	yes	characteristic
1093	C₂³	C₂⁵	1	2	yes	—
1094	C₂³	C₂⁵	1	2	yes	—
1095	Q₈	—	2	2	no	—
1096	Q₈	—	2	2	no	—
1097	Q₈	—	2	4	no	—
1098	Q₈	—	2	2	no	—
1099	Q₈	—	2	4	no	—
1100	Q₈	—	2	2	no	—
1101	Q₈	—	2	4	no	—
1102	Q₈	—	2	2	no	—
1103	Q₈	—	4	4	no	—
1104	Q₈	—	4	2	no	—
1105	Q₈	—	4	4	no	—
1106	Q₈	—	4	4	no	—
1107	Q₈	—	4	4	no	—
1108	Q₈	—	4	2	no	—
1109	Q₈	—	4	2	no	—
1110	Q₈	—	4	2	no	—
1111	Q₈	—	4	2	no	—
1112	Q₈	—	4	4	no	—
1113	Q₈	—	4	1	no	—
1114	D₄	—	2	4	no	—
1115	D₄	—	2	4	no	—
1116	D₄	—	2	4	no	—
1117	D₄	—	2	8	no	—
1118	D₄	—	2	2	no	—
1119	D₄	—	2	2	no	—
1120	D₄	—	4	2	no	—
1121	D₄	—	4	2	no	—
1122	D₄	—	4	2	no	—
1123	D₄	—	4	2	no	—
1124	D₄	—	4	1	no	—
1125	D₄	—	4	1	no	—
1126	D₄	—	4	1	no	—
1127	D₄	—	4	4	no	—
1128	D₄	—	4	2	no	—
1129	D₄	2₋¹⁺⁴	1	4	yes	—
1130	C₂×C₄	—	2	4	no	—
1131	C₂×C₄	—	2	4	no	—
1132	C₂×C₄	—	2	8	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	2	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	4	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	4	no	—
1139	C₂×C₄	—	2	4	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	4	2	no	—
1143	C₂×C₄	—	4	2	no	—
1144	C₂×C₄	—	4	2	no	—
1145	C₂×C₄	—	4	1	no	—
1146	C₂×C₄	—	4	2	no	—
1147	C₂×C₄	—	4	2	no	—
1148	C₂×C₄	—	4	2	no	—
1149	C₂×C₄	—	4	4	no	—
1150	C₂×C₄	—	4	4	no	—
1151	C₂×C₄	—	4	2	no	—
1152	C₂×C₄	—	4	4	no	—
1153	C₂×C₄	—	4	1	no	—
1154	C₂×C₄	—	4	1	no	—
1155	C₂×C₄	—	4	4	no	—
1156	C₂×C₄	—	4	4	no	—
1157	C₂×C₄	—	4	4	no	—
1158	C₂×C₄	—	4	4	no	—
1159	C₂×C₄	—	4	2	no	—
1160	C₂×C₄	—	4	4	no	—
1161	C₂×C₄	—	4	2	no	—
1162	C₂×C₄	C₂⁵	1	1	yes	characteristic
1163	C₂×C₄	C₂⁵	1	1	yes	characteristic
1164	C₂×C₄	C₂⁵	1	1	yes	characteristic
1165	C₂×C₄	C₂⁵	1	2	yes	—
1166	C₂×C₄	C₂⁵	1	4	yes	—
1167	C₂×C₄	C₂⁵	1	2	yes	—
1168	C₂×C₄	C₂⁵	1	2	yes	—
1169	C₂×C₄	C₂⁵	1	2	yes	—
1170	C₂×C₄	C₂⁵	1	1	yes	characteristic
1171	C₂×C₄	C₂⁵	1	1	yes	characteristic
1172	C₂×C₄	C₂⁵	1	1	yes	characteristic
1173	C₂×C₄	C₂⁵	1	2	yes	—
1174	C₂×C₄	C₂⁵	1	1	yes	characteristic
1175	C₂×C₄	C₂⁵	1	1	yes	characteristic
1176	C₂×C₄	C₂⁵	1	2	yes	—
1177	C₂×C₄	C₂⁵	1	4	yes	—
1178	C₂×C₄	C₂⁵	1	2	yes	—
1179	C₂×C₄	C₂⁵	1	2	yes	—
1180	C₂×C₄	C₂⁵	1	4	yes	—
1181	C₂×C₄	C₂⁵	1	2	yes	—
1182	C₂×C₄	C₂⁵	1	2	yes	—
1183	C₂×C₄	C₂⁵	1	2	yes	—
1184	C₂×C₄	C₂⁵	1	1	yes	characteristic
1185	C₂×C₄	C₂⁵	1	2	yes	—
1186	C₂×C₄	C₂⁵	1	4	yes	—
1187	C₂×C₄	C₂⁵	1	2	yes	—
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	C₂²	—	2	2	no	—
1192	C₂²	—	2	2	no	—
1193	C₂²	—	2	1	no	—
1194	C₂²	—	2	1	no	—
1195	C₂²	—	2	2	no	—
1196	C₂²	—	2	1	no	—
1197	C₂²	—	2	2	no	—
1198	C₂²	—	2	1	no	—
1199	C₂²	—	2	2	no	—
1200	C₂²	—	2	1	no	—
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	2	no	—
1203	C₂²	—	2	1	no	—
1204	C₂²	—	2	2	no	—
1205	C₂²	—	2	2	no	—
1206	C₂²	—	2	1	no	—
1207	C₂²	—	2	1	no	—
1208	C₂²	—	8	4	no	—
1209	C₂²	C₂×2₋¹⁺⁴	1	4	yes	—
1210	C₂²	C₂⁶	1	1	yes	characteristic
1211	C₄	—	2	1	no	—
1212	C₄	—	2	1	no	—
1213	C₄	—	2	2	no	—
1214	C₄	—	2	1	no	—
1215	C₄	—	2	2	no	—
1216	C₄	—	2	4	no	—
1217	C₄	—	2	2	no	—
1218	C₄	—	2	1	no	—
1219	C₄	—	2	2	no	—
1220	C₄	—	2	1	no	—
1221	C₄	—	2	2	no	—
1222	C₄	—	2	1	no	—
1223	C₄	—	2	2	no	—
1224	C₄	—	2	4	no	—
1225	C₄	—	2	2	no	—
1226	C₄	—	2	4	no	—
1227	C₄	—	2	2	no	—
1228	C₄	—	2	1	no	—
1229	C₄	—	2	2	no	—
1230	C₄	—	2	2	no	—
1231	C₄	—	2	2	no	—
1232	C₄	—	2	1	no	—
1233	C₄	—	2	1	no	—
1234	C₄	—	2	4	no	—
1235	C₄	—	2	2	no	—
1236	C₄	—	2	2	no	—
1237	C₄	—	2	1	no	—
1238	C₄	C₂×2₋¹⁺⁴	1	2	yes	—
1239	C₄	#585	1	2	yes	—
1240	C₂	—	2	4	no	—
1241	C₂	—	4	1	no	—
1242	C₂	—	4	1	no	—
1243	C₂	—	4	2	no	—
1244	C₂	—	4	2	no	—
1245	C₂	—	4	1	no	—
1246	C₂	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1247	C₂	C₂×#585	1	1	yes	characteristic
1248	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. #3565	C₂	semidirect
2. #3564	C₂	semidirect
3. #3564	C₂	semidirect
4. #3563	C₂	semidirect
5. #3563	C₂	semidirect
6. #3563	C₂	semidirect
7. #3556	C₂	semidirect
8. #3555	C₂	semidirect
9. #3555	C₂	semidirect
10. #3555	C₂	semidirect
11. #3555	C₂	semidirect
12. #3553	C₂	semidirect
13. #3552	C₂	semidirect
14. #3552	C₂	semidirect
15. #3541	C₂	semidirect
16. #3538	C₂	semidirect
17. #3523	C₂	semidirect
18. #3523	C₂	semidirect
19. #3521	C₂	semidirect
20. #3521	C₂	semidirect
21. #3520	C₂	semidirect
22. #3516	C₂	semidirect
23. #3515	C₂	semidirect
24. #3515	C₂	semidirect
25. #3515	C₂	semidirect
26. #3509	C₂	semidirect
27. #3504	C₂	semidirect
28. #3503	C₂	semidirect
29. #3501	C₂	semidirect
30. #3495	C₂	semidirect
31. #3482	C₂	semidirect
32. Q₈×#41	C₂	semidirect
33. #3475	C₂	semidirect
34. #3461	C₂	semidirect
35. C₂×#541	C₂	semidirect
36. #564	C₂²	semidirect
37. #564	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. #562	C₂²	semidirect
48. Q₈²	C₂²	semidirect
49. Q₈²	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. #557	C₂²	semidirect
58. #557	C₂²	semidirect
59. #557	C₂²	semidirect
60. #557	C₂²	semidirect
61. #557	C₂²	semidirect
62. #557	C₂²	semidirect
63. #557	C₂²	semidirect
64. #557	C₂²	semidirect
65. #557	C₂²	semidirect
74. #556	C₂²	semidirect
75. #556	C₂²	semidirect
76. #556	C₂²	semidirect
77. #556	C₂²	semidirect
78. #556	C₂²	semidirect
79. #556	C₂²	semidirect
91. #554	C₂²	semidirect
92. #554	C₂²	semidirect
93. #554	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
105. #553	C₂²	semidirect
106. #553	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
147. D₄×Q₈	C₂²	semidirect
148. D₄×Q₈	C₂²	semidirect
149. D₄×Q₈	C₂²	semidirect
150. D₄×Q₈	C₂²	semidirect
151. D₄×Q₈	C₂²	semidirect
153. #548	C₂²	semidirect
154. #548	C₂²	semidirect
160. #547	C₂²	semidirect
165. #544	C₂²	semidirect
166. #544	C₂²	semidirect
167. #544	C₂²	semidirect
168. #544	C₂²	semidirect
169. #544	C₂²	semidirect
170. #544	C₂²	semidirect
171. #544	C₂²	semidirect
172. #544	C₂²	semidirect
173. #544	C₂²	semidirect
174. #544	C₂²	semidirect
183. #542	C₂²	semidirect
184. #542	C₂²	semidirect
185. #542	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
207. #541	C₂²	semidirect
208. #541	C₂²	semidirect
209. #541	C₂²	semidirect
210. #541	C₂²	semidirect
211. #541	C₂²	semidirect
212. #541	C₂²	semidirect
213. #541	C₂²	semidirect
214. #541	C₂²	semidirect
215. #541	C₂²	semidirect
221. #539	C₂²	semidirect
222. #539	C₂²	semidirect
223. #539	C₂²	semidirect
224. #539	C₂²	semidirect
225. #539	C₂²	semidirect
226. #539	C₂²	semidirect
227. #539	C₂²	semidirect
233. #536	C₂²	semidirect
234. #536	C₂²	semidirect
239. #533	C₂²	semidirect
240. #533	C₂²	semidirect
241. #533	C₂²	semidirect
242. #533	C₂²	semidirect
243. #533	C₂²	semidirect
244. #533	C₂²	semidirect
245. #533	C₂²	semidirect
246. #533	C₂²	semidirect
247. #533	C₂²	semidirect
248. #533	C₂²	semidirect
249. #533	C₂²	semidirect
250. #533	C₂²	semidirect
251. C₂×C₄⋊Q₈	C₂²	semidirect
252. C₂×C₄⋊Q₈	C₂²	semidirect
264. #529	C₂²	semidirect
265. #529	C₂²	semidirect
266. #529	C₂²	semidirect
267. #529	C₂²	semidirect
268. #529	C₂²	semidirect
269. #529	C₂²	semidirect
272. C₂×#125	C₂²	semidirect
273. C₂×#125	C₂²	semidirect
274. C₂×#125	C₂²	semidirect
275. C₂×#125	C₂²	semidirect
284. #520	C₂²	semidirect
285. #519	C₂²	semidirect
286. #519	C₂²	semidirect
293. C₄×#41	C₂²	semidirect
294. C₂×C₄×Q₈	C₂²	semidirect
295. C₂×C₄×Q₈	C₂²	semidirect
296. 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
#3565	2
#3564	2
#3563	2
#3556	2
#3555	2
#3553	2
#3552	2
#3541	2
#3538	2
#3523	2
#3521	2
#3520	2
#3516	2
#3515	2
#3509	2
#3504	2
#3503	2
#3501	2
#3495	2
#3482	2
Q₈×#41	2
#3475	2
#3461	2
C₂×#541	2