Subgroups — #62872

Order 256.

3251 conjugacy classes of subgroups.

The subgroup lattice has 980 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	4	yes	maximal, complemented
4	#3564	C₂	1	4	yes	maximal, complemented
5	#3561	C₂	1	4	yes	maximal, complemented
6	#3560	C₂	1	4	yes	maximal, complemented
7	#3552	C₂	1	2	yes	maximal, complemented
8	#3547	C₂	1	4	yes	maximal, complemented
9	#3545	C₂	1	4	yes	maximal, complemented
10	#3545	C₂	1	2	yes	maximal, complemented
11	#3538	C₂	1	2	yes	maximal, complemented
12	#3536	C₂	1	2	yes	maximal, complemented
13	#3535	C₂	1	2	yes	maximal, complemented
14	#3535	C₂	1	2	yes	maximal, complemented
15	#3534	C₂	1	2	yes	maximal, complemented
16	#3534	C₂	1	2	yes	maximal, complemented
17	#3521	C₂	1	4	yes	maximal, complemented
18	#3514	C₂	1	4	yes	maximal, complemented
19	#3505	C₂	1	2	yes	maximal, complemented
20	#3493	C₂	1	1	yes	maximal, characteristic, complemented
21	#3491	C₂	1	1	yes	maximal, characteristic, complemented
22	#3461	C₂	1	2	yes	maximal, complemented
23	C₂×#542	C₂	1	1	yes	maximal, characteristic, complemented
24	#563	C₂²	1	4	yes	complemented
25	#563	C₂²	1	4	yes	complemented
26	#563	C₂²	1	4	yes	complemented
27	#563	C₂²	1	4	yes	complemented
28	#563	C₂²	1	2	yes	complemented
29	#563	C₂²	1	4	yes	complemented
30	#563	C₂²	1	4	yes	complemented
31	#562	C₂²	1	4	yes	complemented
32	#562	C₂²	1	4	yes	complemented
33	#562	C₂²	1	4	yes	complemented
34	#562	C₂²	1	4	yes	complemented
35	#562	C₂²	1	4	yes	complemented
36	#562	C₂²	1	4	yes	complemented
37	#562	C₂²	1	2	yes	complemented
38	#562	C₂²	1	2	yes	complemented
39	H(3,𝔽₄)	C₂²	1	2	yes	complemented
40	#560	C₂²	1	4	yes	complemented
41	#560	C₂²	1	4	yes	complemented
42	#559	C₂²	1	4	yes	complemented
43	#557	C₂²	1	2	yes	complemented
44	#556	C₂²	1	4	yes	complemented
45	#556	C₂²	1	4	yes	complemented
46	#556	C₂²	1	4	yes	complemented
47	#556	C₂²	1	4	yes	complemented
48	#556	C₂²	1	2	yes	complemented
49	#555	C₂²	1	4	yes	complemented
50	#555	C₂²	1	4	yes	complemented
51	#555	C₂²	1	4	yes	complemented
52	#555	C₂²	1	4	yes	complemented
53	#554	C₂²	1	4	yes	complemented
54	#554	C₂²	1	4	yes	complemented
55	#554	C₂²	1	4	yes	complemented
56	#553	C₂²	1	4	yes	complemented
57	#553	C₂²	1	4	yes	complemented
58	#553	C₂²	1	4	yes	complemented
59	#553	C₂²	1	2	yes	complemented
60	#553	C₂²	1	2	yes	complemented
61	#553	C₂²	1	4	yes	complemented
62	#553	C₂²	1	4	yes	complemented
63	#553	C₂²	1	4	yes	complemented
64	#553	C₂²	1	4	yes	complemented
65	#552	C₂²	1	4	yes	complemented
66	#552	C₂²	1	4	yes	complemented
67	#552	C₂²	1	4	yes	complemented
68	#552	C₂²	1	2	yes	complemented
69	#552	C₂²	1	2	yes	complemented
70	#552	C₂²	1	4	yes	complemented
71	#552	C₂²	1	4	yes	complemented
72	#552	C₂²	1	4	yes	complemented
73	#552	C₂²	1	4	yes	complemented
74	#552	C₂²	1	4	yes	complemented
75	#551	C₂²	1	4	yes	complemented
76	#551	C₂²	1	4	yes	complemented
77	#551	C₂²	1	4	yes	complemented
78	#551	C₂²	1	4	yes	complemented
79	#551	C₂²	1	4	yes	complemented
80	#551	C₂²	1	4	yes	complemented
81	#551	C₂²	1	4	yes	complemented
82	#551	C₂²	1	4	yes	complemented
83	#551	C₂²	1	4	yes	complemented
84	#551	C₂²	1	4	yes	complemented
85	#551	C₂²	1	4	yes	complemented
86	#551	C₂²	1	4	yes	complemented
87	#551	C₂²	1	4	yes	complemented
88	#551	C₂²	1	4	yes	complemented
89	#551	C₂²	1	4	yes	complemented
90	D₄×Q₈	C₂²	1	4	yes	complemented
91	D₄×Q₈	C₂²	1	4	yes	complemented
92	D₄×Q₈	C₂²	1	2	yes	complemented
93	#548	C₂²	1	2	yes	complemented
94	#548	C₂²	1	2	yes	complemented
95	#548	C₂²	1	4	yes	complemented
96	#548	C₂²	1	4	yes	complemented
97	#547	C₂²	1	4	yes	complemented
98	#547	C₂²	1	4	yes	complemented
99	#547	C₂²	1	2	yes	complemented
100	#546	C₂²	1	2	yes	complemented
101	#546	C₂²	1	2	yes	complemented
102	#546	C₂²	1	4	yes	complemented
103	#546	C₂²	1	4	yes	complemented
104	#546	C₂²	1	4	yes	complemented
105	#546	C₂²	1	4	yes	complemented
106	#546	C₂²	1	4	yes	complemented
107	#546	C₂²	1	4	yes	complemented
108	#546	C₂²	1	4	yes	complemented
109	#546	C₂²	1	4	yes	complemented
110	#546	C₂²	1	4	yes	complemented
111	D₄²	C₂²	1	4	yes	complemented
112	#544	C₂²	1	2	yes	complemented
113	#544	C₂²	1	1	yes	characteristic, complemented
114	#544	C₂²	1	2	yes	complemented
115	#544	C₂²	1	4	yes	complemented
116	#544	C₂²	1	4	yes	complemented
117	#543	C₂²	1	1	yes	characteristic, complemented
118	#543	C₂²	1	2	yes	complemented
119	#543	C₂²	1	4	yes	complemented
120	#542	C₂²	1	4	yes	complemented
121	#542	C₂²	1	4	yes	complemented
122	#542	C₂²	1	4	yes	complemented
123	#542	C₂²	1	4	yes	complemented
124	#542	C₂²	1	4	yes	complemented
125	#542	C₂²	1	4	yes	complemented
126	#542	C₂²	1	4	yes	complemented
127	#542	C₂²	1	4	yes	complemented
128	#542	C₂²	1	4	yes	complemented
129	#542	C₂²	1	4	yes	complemented
130	#542	C₂²	1	4	yes	complemented
131	#542	C₂²	1	4	yes	complemented
132	#542	C₂²	1	4	yes	complemented
133	#542	C₂²	1	4	yes	complemented
134	#542	C₂²	1	4	yes	complemented
135	#541	C₂²	1	4	yes	complemented
136	#541	C₂²	1	4	yes	complemented
137	#541	C₂²	1	4	yes	complemented
138	#541	C₂²	1	4	yes	complemented
139	#541	C₂²	1	4	yes	complemented
140	#540	C₂²	1	4	yes	complemented
141	#540	C₂²	1	4	yes	complemented
142	#539	C₂²	1	2	yes	complemented
143	#539	C₂²	1	4	yes	complemented
144	#539	C₂²	1	2	yes	complemented
145	#539	C₂²	1	2	yes	complemented
146	#539	C₂²	1	2	yes	complemented
147	#539	C₂²	1	4	yes	complemented
148	#539	C₂²	1	4	yes	complemented
149	#539	C₂²	1	2	yes	complemented
150	#539	C₂²	1	4	yes	complemented
151	#539	C₂²	1	4	yes	complemented
152	#539	C₂²	1	4	yes	complemented
153	#539	C₂²	1	4	yes	complemented
154	#539	C₂²	1	2	yes	complemented
155	#539	C₂²	1	4	yes	complemented
156	#538	C₂²	1	4	yes	—
157	#538	C₂²	1	2	yes	complemented
158	#538	C₂²	1	2	yes	complemented
159	#538	C₂²	1	4	yes	complemented
160	#538	C₂²	1	4	yes	complemented
161	#538	C₂²	1	4	yes	complemented
162	#538	C₂²	1	4	yes	complemented
163	#538	C₂²	1	4	yes	complemented
164	#538	C₂²	1	2	yes	complemented
165	#538	C₂²	1	2	yes	complemented
166	#538	C₂²	1	4	yes	complemented
167	#538	C₂²	1	4	yes	complemented
168	#538	C₂²	1	4	yes	complemented
169	#537	C₂²	1	2	yes	—
170	#537	C₂²	1	1	yes	characteristic, complemented
171	#537	C₂²	1	2	yes	complemented
172	#537	C₂²	1	4	yes	complemented
173	#536	C₂²	1	4	yes	complemented
174	#536	C₂²	1	4	yes	complemented
175	#536	C₂²	1	4	yes	complemented
176	#536	C₂²	1	4	yes	complemented
177	#534	C₂²	1	1	yes	characteristic
178	#534	C₂²	1	4	yes	complemented
179	#534	C₂²	1	2	yes	complemented
180	#534	C₂²	1	4	yes	complemented
181	#533	C₂²	1	4	yes	complemented
182	#533	C₂²	1	4	yes	complemented
183	#532	C₂²	1	4	yes	complemented
184	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
185	#529	C₂²	1	2	yes	complemented
186	#529	C₂²	1	2	yes	complemented
187	#529	C₂²	1	4	yes	complemented
188	#529	C₂²	1	4	yes	complemented
189	#529	C₂²	1	4	yes	complemented
190	#529	C₂²	1	2	yes	complemented
191	#529	C₂²	1	2	yes	complemented
192	#529	C₂²	1	4	yes	complemented
193	#529	C₂²	1	4	yes	complemented
194	#529	C₂²	1	4	yes	complemented
195	#529	C₂²	1	4	yes	complemented
196	#529	C₂²	1	4	yes	complemented
197	C₂×#126	C₂²	1	2	yes	complemented
198	C₂×#126	C₂²	1	4	yes	complemented
199	C₂×#124	C₂²	1	2	yes	complemented
200	C₂×#124	C₂²	1	1	yes	characteristic, complemented
201	C₂×#124	C₂²	1	4	yes	complemented
202	#525	C₂²	1	2	yes	—
203	#525	C₂²	1	2	yes	complemented
204	#525	C₂²	1	2	yes	complemented
205	C₂×#123	C₂²	1	2	yes	complemented
206	C₂×#123	C₂²	1	2	yes	complemented
207	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
208	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
209	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
210	C₂×#121	C₂²	1	1	yes	characteristic
211	C₂×#121	C₂²	1	2	yes	complemented
212	#520	C₂²	1	2	yes	complemented
213	#518	C₂²	1	2	yes	complemented
214	#518	C₂²	1	4	yes	complemented
215	C₄×#41	C₂²	1	4	yes	complemented
216	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
218	C₂×#117	C₂²	1	1	yes	characteristic, complemented
219	C₂×#41	C₂³	1	4	yes	—
220	C₂×#41	C₂³	1	2	yes	—
221	C₂×#41	C₂³	1	2	yes	—
222	C₂×#41	C₂³	1	2	yes	—
223	C₂×#41	C₂³	1	4	yes	—
224	C₂×#41	C₂³	1	4	yes	—
225	C₂²×Q₈	C₂³	1	1	yes	characteristic
226	C₂²×Q₈	C₂³	1	2	yes	—
227	C₂²×Q₈	C₂³	1	2	yes	—
228	C₂²×Q₈	C₂³	1	4	yes	—
229	C₂²×D₄	C₂³	1	1	yes	characteristic
230	C₂²×D₄	C₂³	1	4	yes	—
231	C₂²×D₄	C₂³	1	2	yes	—
232	C₂²×D₄	C₂³	1	2	yes	—
233	C₂²×D₄	C₂³	1	2	yes	—
234	C₂²×D₄	C₂³	1	4	yes	—
235	C₂³×C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₄	C₂³	1	2	yes	—
237	C₄⋊Q₈	C₂³	1	4	yes	—
238	C₄⋊Q₈	C₂³	1	2	yes	—
239	C₄⋊Q₈	C₂³	1	2	yes	—
240	C₄⋊Q₈	C₂³	1	4	yes	—
241	C₄⋊Q₈	C₂³	1	4	yes	—
242	C₄⋊Q₈	C₂³	1	4	yes	—
243	C₄⋊Q₈	C₂³	1	4	yes	—
244	C₄⋊Q₈	C₂³	1	4	yes	—
245	C₄⋊Q₈	C₂³	1	4	yes	—
246	C₄⋊Q₈	C₂³	1	4	yes	—
247	C₄⋊Q₈	C₂³	1	4	yes	—
248	C₄⋊Q₈	C₂³	1	4	yes	—
249	C₄⋊Q₈	C₂³	1	4	yes	—
250	#127	C₂³	1	4	yes	—
251	#126	C₂³	1	4	yes	—
252	#126	C₂³	1	4	yes	—
253	#126	C₂³	1	4	yes	—
254	#126	C₂³	1	4	yes	—
255	#126	C₂³	1	4	yes	—
256	#126	C₂³	1	4	yes	—
257	#126	C₂³	1	4	yes	—
258	#126	C₂³	1	4	yes	—
259	#126	C₂³	1	4	yes	—
260	#126	C₂³	1	4	yes	—
261	#126	C₂³	1	4	yes	—
262	#126	C₂³	1	4	yes	—
263	#126	C₂³	1	4	yes	—
264	#126	C₂³	1	4	yes	—
265	#126	C₂³	1	4	yes	—
266	#126	C₂³	1	4	yes	—
267	#126	C₂³	1	4	yes	—
268	#126	C₂³	1	4	yes	—
269	#126	C₂³	1	4	yes	—
270	#126	C₂³	1	4	yes	—
271	#126	C₂³	1	4	yes	—
272	#126	C₂³	1	4	yes	—
273	#126	C₂³	1	4	yes	—
274	#126	C₂³	1	4	yes	—
275	#126	C₂³	1	4	yes	—
276	#126	C₂³	1	4	yes	—
277	#126	C₂³	1	4	yes	—
278	#126	C₂³	1	4	yes	—
279	#126	C₂³	1	4	yes	—
280	#126	C₂³	1	4	yes	—
281	#126	C₂³	1	4	yes	—
282	#126	C₂³	1	4	yes	—
283	#126	C₂³	1	4	yes	—
284	#126	C₂³	1	4	yes	—
285	#125	C₂³	1	4	yes	—
286	#125	C₂³	1	4	yes	—
287	#125	C₂³	1	4	yes	—
288	#125	C₂³	1	4	yes	—
289	#125	C₂³	1	2	yes	—
290	#125	C₂³	1	2	yes	—
291	#125	C₂³	1	2	yes	—
292	#125	C₂³	1	4	yes	—
293	#125	C₂³	1	4	yes	—
294	#125	C₂³	1	2	yes	—
295	#125	C₂³	1	4	yes	—
296	#125	C₂³	1	4	yes	—
297	#125	C₂³	1	4	yes	—
298	#125	C₂³	1	4	yes	—
299	#125	C₂³	1	4	yes	—
300	#125	C₂³	1	4	yes	—
301	#125	C₂³	1	4	yes	—
302	#125	C₂³	1	4	yes	—
303	#125	C₂³	1	4	yes	—
304	#125	C₂³	1	4	yes	—
305	#125	C₂³	1	4	yes	—
306	#125	C₂³	1	4	yes	—
307	#124	C₂³	1	4	yes	—
308	#124	C₂³	1	4	yes	—
309	#124	C₂³	1	4	yes	—
310	#124	C₂³	1	4	yes	—
311	#124	C₂³	1	4	yes	—
312	#124	C₂³	1	4	yes	—
313	#124	C₂³	1	4	yes	—
314	#124	C₂³	1	4	yes	—
315	#124	C₂³	1	4	yes	—
316	#124	C₂³	1	4	yes	—
317	#124	C₂³	1	4	yes	—
318	#124	C₂³	1	4	yes	—
319	#124	C₂³	1	2	yes	—
320	#124	C₂³	1	2	yes	—
321	#124	C₂³	1	2	yes	—
322	#124	C₂³	1	4	yes	—
323	#124	C₂³	1	4	yes	—
324	#124	C₂³	1	4	yes	—
325	#124	C₂³	1	4	yes	—
326	#124	C₂³	1	2	yes	—
327	#124	C₂³	1	2	yes	—
328	#124	C₂³	1	4	yes	—
329	#124	C₂³	1	2	yes	—
330	#124	C₂³	1	4	yes	—
331	#124	C₂³	1	4	yes	—
332	#124	C₂³	1	4	yes	—
333	#124	C₂³	1	4	yes	—
334	#124	C₂³	1	4	yes	—
335	#124	C₂³	1	4	yes	—
336	#124	C₂³	1	4	yes	—
337	#123	C₂³	1	4	yes	—
338	#123	C₂³	1	4	yes	—
339	#123	C₂³	1	4	yes	—
340	#123	C₂³	1	4	yes	—
341	#123	C₂³	1	4	yes	—
342	#123	C₂³	1	4	yes	—
343	#123	C₂³	1	4	yes	—
344	#123	C₂³	1	4	yes	—
345	#123	C₂³	1	4	yes	—
346	#123	C₂³	1	4	yes	—
347	#123	C₂³	1	4	yes	—
348	#123	C₂³	1	4	yes	—
349	#123	C₂³	1	4	yes	—
350	#123	C₂³	1	4	yes	—
351	#123	C₂³	1	4	yes	—
352	#123	C₂³	1	4	yes	—
353	#123	C₂³	1	4	yes	—
354	#123	C₂³	1	4	yes	—
355	#123	C₂³	1	4	yes	—
356	#123	C₂³	1	4	yes	—
357	#123	C₂³	1	4	yes	—
358	#123	C₂³	1	4	yes	—
359	#123	C₂³	1	4	yes	—
360	#123	C₂³	1	4	yes	—
361	#123	C₂³	1	4	yes	—
362	#123	C₂³	1	4	yes	—
363	#123	C₂³	1	4	yes	—
364	#123	C₂³	1	4	yes	—
365	#123	C₂³	1	4	yes	—
366	#123	C₂³	1	4	yes	—
367	#123	C₂³	1	4	yes	—
368	#123	C₂³	1	4	yes	—
369	#123	C₂³	1	4	yes	—
370	#123	C₂³	1	4	yes	—
371	#123	C₂³	1	4	yes	—
372	#123	C₂³	1	4	yes	—
373	#123	C₂³	1	4	yes	—
374	#123	C₂³	1	4	yes	—
375	#123	C₂³	1	4	yes	—
376	#123	C₂³	1	4	yes	—
377	#123	C₂³	1	4	yes	—
378	#123	C₂³	1	4	yes	—
379	#123	C₂³	1	4	yes	—
380	#123	C₂³	1	4	yes	—
381	#123	C₂³	1	4	yes	—
382	#123	C₂³	1	4	yes	—
383	C₂²⋊Q₈	C₂³	1	2	yes	—
384	C₂²⋊Q₈	C₂³	1	2	yes	—
385	C₂²⋊Q₈	C₂³	1	4	yes	—
386	C₂²⋊Q₈	C₂³	1	4	yes	—
387	C₂²⋊Q₈	C₂³	1	4	yes	—
388	C₂²⋊Q₈	C₂³	1	2	yes	—
389	C₂²⋊Q₈	C₂³	1	4	yes	—
390	C₂²⋊Q₈	C₂³	1	2	yes	—
391	C₂²⋊Q₈	C₂³	1	2	yes	—
392	C₂²⋊Q₈	C₂³	1	2	yes	—
393	C₂²⋊Q₈	C₂³	1	4	yes	—
394	C₂²⋊Q₈	C₂³	1	4	yes	—
395	C₂²⋊Q₈	C₂³	1	4	yes	—
396	C₂²⋊Q₈	C₂³	1	2	yes	—
397	C₂²⋊Q₈	C₂³	1	2	yes	—
398	C₂²⋊Q₈	C₂³	1	2	yes	—
399	C₂²⋊Q₈	C₂³	1	2	yes	—
400	C₂²⋊Q₈	C₂³	1	4	yes	—
401	C₂²⋊Q₈	C₂³	1	4	yes	—
402	C₂²⋊Q₈	C₂³	1	4	yes	—
403	C₂²⋊Q₈	C₂³	1	2	yes	—
404	C₂²⋊Q₈	C₂³	1	4	yes	—
405	C₂²⋊Q₈	C₂³	1	4	yes	—
406	C₂²⋊Q₈	C₂³	1	2	yes	—
407	C₂²⋊Q₈	C₂³	1	4	yes	—
408	C₂²⋊Q₈	C₂³	1	4	yes	—
409	C₂²⋊Q₈	C₂³	1	4	yes	—
410	C₂²⋊Q₈	C₂³	1	4	yes	—
411	C₂²⋊Q₈	C₂³	1	4	yes	—
412	C₂²⋊Q₈	C₂³	1	4	yes	—
413	C₂²⋊Q₈	C₂³	1	4	yes	—
414	C₂²⋊Q₈	C₂³	1	4	yes	—
415	C₂²⋊Q₈	C₂³	1	4	yes	—
416	C₂²⋊Q₈	C₂³	1	4	yes	—
417	C₂²⋊Q₈	C₂³	1	4	yes	—
418	C₂²⋊Q₈	C₂³	1	4	yes	—
419	C₂²⋊Q₈	C₂³	1	4	yes	—
420	C₂²⋊Q₈	C₂³	1	4	yes	—
421	C₂²⋊Q₈	C₂³	1	4	yes	—
422	C₂²⋊Q₈	C₂³	1	4	yes	—
423	C₂²⋊Q₈	C₂³	1	4	yes	—
424	C₂²⋊Q₈	C₂³	1	4	yes	—
425	C₂²⋊Q₈	C₂³	1	4	yes	—
426	C₂²⋊Q₈	C₂³	1	4	yes	—
427	C₂²⋊Q₈	C₂³	1	4	yes	—
428	C₂²⋊Q₈	C₂³	1	4	yes	—
429	C₂²⋊Q₈	C₂³	1	4	yes	—
430	C₂²⋊Q₈	C₂³	1	4	yes	—
431	C₂²⋊Q₈	C₂³	1	4	yes	—
432	C₂²⋊Q₈	C₂³	1	4	yes	—
433	C₂²⋊Q₈	C₂³	1	4	yes	—
434	C₂²⋊Q₈	C₂³	1	4	yes	—
435	C₂²⋊Q₈	C₂³	1	4	yes	—
436	C₂²⋊Q₈	C₂³	1	4	yes	—
437	C₂²⋊Q₈	C₂³	1	4	yes	—
438	C₂²⋊Q₈	C₂³	1	4	yes	—
439	C₂²⋊Q₈	C₂³	1	4	yes	—
440	#121	C₂³	1	2	yes	—
441	#121	C₂³	1	2	yes	—
442	#121	C₂³	1	4	yes	—
443	#121	C₂³	1	2	yes	—
444	#121	C₂³	1	2	yes	—
445	#121	C₂³	1	4	yes	—
446	#121	C₂³	1	2	yes	—
447	#121	C₂³	1	4	yes	—
448	#121	C₂³	1	2	yes	—
449	#121	C₂³	1	2	yes	—
450	#121	C₂³	1	2	yes	—
451	#121	C₂³	1	2	yes	—
452	#121	C₂³	1	2	yes	—
453	#121	C₂³	1	2	yes	—
454	#121	C₂³	1	4	yes	—
455	#121	C₂³	1	4	yes	—
456	#121	C₂³	1	4	yes	—
457	#121	C₂³	1	4	yes	—
458	#121	C₂³	1	2	yes	—
459	#121	C₂³	1	4	yes	—
460	#121	C₂³	1	4	yes	—
461	#121	C₂³	1	4	yes	—
462	#121	C₂³	1	4	yes	—
463	#121	C₂³	1	4	yes	—
464	#121	C₂³	1	4	yes	—
465	#121	C₂³	1	4	yes	—
466	#121	C₂³	1	4	yes	—
467	#121	C₂³	1	4	yes	—
468	#121	C₂³	1	4	yes	—
469	#121	C₂³	1	4	yes	—
470	#121	C₂³	1	4	yes	—
471	#121	C₂³	1	4	yes	—
472	#121	C₂³	1	4	yes	—
473	#121	C₂³	1	4	yes	—
474	#121	C₂³	1	4	yes	—
475	#121	C₂³	1	4	yes	—
476	#121	C₂³	1	4	yes	—
477	#121	C₂³	1	4	yes	—
478	#121	C₂³	1	4	yes	—
479	#121	C₂³	1	4	yes	—
480	#121	C₂³	1	4	yes	—
481	#121	C₂³	1	4	yes	—
482	#121	C₂³	1	4	yes	—
483	#120	C₂³	1	4	yes	—
484	#120	C₂³	1	4	yes	—
485	#120	C₂³	1	4	yes	—
486	#120	C₂³	1	4	yes	—
487	#120	C₂³	1	4	yes	—
488	#120	C₂³	1	4	yes	—
489	#120	C₂³	1	4	yes	—
490	#120	C₂³	1	4	yes	—
491	#120	C₂³	1	4	yes	—
492	#120	C₂³	1	4	yes	—
493	#120	C₂³	1	4	yes	—
494	#120	C₂³	1	4	yes	—
495	C₄×Q₈	C₂³	1	4	yes	—
496	C₄×Q₈	C₂³	1	4	yes	—
497	C₄×Q₈	C₂³	1	4	yes	—
498	C₄×Q₈	C₂³	1	4	yes	—
499	C₄×Q₈	C₂³	1	4	yes	—
500	C₄×Q₈	C₂³	1	2	yes	—
501	C₄×Q₈	C₂³	1	2	yes	—
502	C₄×Q₈	C₂³	1	4	yes	—
503	C₄×Q₈	C₂³	1	4	yes	—
504	C₄×Q₈	C₂³	1	4	yes	—
505	C₄×Q₈	C₂³	1	4	yes	—
506	C₄×Q₈	C₂³	1	2	yes	—
507	C₄×Q₈	C₂³	1	2	yes	—
508	C₄×Q₈	C₂³	1	4	yes	—
509	C₄×D₄	C₂³	1	2	yes	—
510	C₄×D₄	C₂³	1	2	yes	—
511	C₄×D₄	C₂³	1	2	yes	—
512	C₄×D₄	C₂³	1	2	yes	—
513	C₄×D₄	C₂³	1	4	yes	—
514	C₄×D₄	C₂³	1	4	yes	—
515	C₄×D₄	C₂³	1	4	yes	—
516	C₄×D₄	C₂³	1	4	yes	—
517	C₄×D₄	C₂³	1	4	yes	—
518	C₄×D₄	C₂³	1	4	yes	—
519	C₄×D₄	C₂³	1	4	yes	—
520	C₄×D₄	C₂³	1	4	yes	—
521	C₄×D₄	C₂³	1	4	yes	—
522	C₄×D₄	C₂³	1	4	yes	—
523	C₄×D₄	C₂³	1	4	yes	—
524	C₄×D₄	C₂³	1	4	yes	—
525	C₄×D₄	C₂³	1	4	yes	—
526	C₄×D₄	C₂³	1	4	yes	—
527	C₄×D₄	C₂³	1	4	yes	—
528	C₄×D₄	C₂³	1	4	yes	—
529	C₄×D₄	C₂³	1	4	yes	—
530	C₄×D₄	C₂³	1	4	yes	—
531	C₄×D₄	C₂³	1	4	yes	—
532	C₄×D₄	C₂³	1	4	yes	—
533	C₄×D₄	C₂³	1	4	yes	—
534	C₄×D₄	C₂³	1	2	yes	—
535	C₄×D₄	C₂³	1	4	yes	—
536	C₄×D₄	C₂³	1	2	yes	—
537	C₄×D₄	C₂³	1	4	yes	—
538	C₄×D₄	C₂³	1	2	yes	—
539	C₄×D₄	C₂³	1	2	yes	—
540	C₄×D₄	C₂³	1	4	yes	—
541	C₄×D₄	C₂³	1	4	yes	—
542	C₄×D₄	C₂³	1	4	yes	—
543	C₄×D₄	C₂³	1	4	yes	—
544	C₄×D₄	C₂³	1	4	yes	—
545	C₄×D₄	C₂³	1	4	yes	—
546	C₄×D₄	C₂³	1	4	yes	—
547	C₄×D₄	C₂³	1	4	yes	—
548	C₄×D₄	C₂³	1	4	yes	—
549	C₄×D₄	C₂³	1	4	yes	—
550	C₄×D₄	C₂³	1	4	yes	—
551	#117	C₂³	1	4	yes	—
552	#117	C₂³	1	4	yes	—
553	#117	C₂³	1	4	yes	—
554	#117	C₂³	1	4	yes	—
555	#117	C₂³	1	4	yes	—
556	#117	C₂³	1	4	yes	—
557	#117	C₂³	1	4	yes	—
558	#117	C₂³	1	4	yes	—
559	#117	C₂³	1	2	yes	—
560	#117	C₂³	1	4	yes	—
561	#117	C₂³	1	2	yes	—
562	#117	C₂³	1	2	yes	—
563	#117	C₂³	1	4	yes	—
564	#117	C₂³	1	4	yes	—
565	#117	C₂³	1	4	yes	—
566	#117	C₂³	1	4	yes	—
567	#117	C₂³	1	4	yes	—
568	#117	C₂³	1	4	yes	—
569	#117	C₂³	1	4	yes	—
570	#117	C₂³	1	4	yes	—
571	#117	C₂³	1	4	yes	—
572	#117	C₂³	1	4	yes	—
573	#117	C₂³	1	4	yes	—
574	#117	C₂³	1	4	yes	—
575	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
577	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
578	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
579	C₂×C₄⋊C₄	C₂³	1	2	yes	—
580	C₂×C₄⋊C₄	C₂³	1	4	yes	—
581	C₂×C₄⋊C₄	C₂³	1	2	yes	—
582	C₂×C₄⋊C₄	C₂³	1	2	yes	—
583	C₂×C₄⋊C₄	C₂³	1	2	yes	—
584	C₂×C₄⋊C₄	C₂³	1	4	yes	—
585	C₂×C₄⋊C₄	C₂³	1	2	yes	—
586	C₂×C₄⋊C₄	C₂³	1	2	yes	—
587	C₂×C₄⋊C₄	C₂³	1	2	yes	—
588	C₂×C₄⋊C₄	C₂³	1	4	yes	—
589	C₂×C₄⋊C₄	C₂³	1	4	yes	—
590	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
591	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
593	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
594	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
595	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
596	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
597	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
598	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
599	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
600	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
601	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
602	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
603	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
604	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
605	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
606	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
607	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
608	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
609	C₂×C₄²	C₂³	1	1	yes	characteristic
610	C₂×C₄²	C₂³	1	1	yes	characteristic
611	C₂×C₄²	C₂³	1	2	yes	—
612	C₂×C₄²	C₂³	1	4	yes	—
613	C₂×C₄²	C₂³	1	4	yes	—
614	C₂⁴	C₂⁴	1	1	yes	characteristic
615	C₂⁴	C₂⁴	1	2	yes	—
616	C₂⁴	C₂⁴	1	4	yes	—
617	C₂⁴	C₂⁴	1	2	yes	—
618	#41	—	4	4	no	—
619	#41	—	4	8	no	—
620	#41	—	8	2	no	—
621	#41	—	8	2	no	—
622	#41	—	8	4	no	—
623	#41	—	8	4	no	—
624	C₂×Q₈	—	4	2	no	—
625	C₂×Q₈	—	8	2	no	—
626	C₂×Q₈	—	8	2	no	—
627	C₂×Q₈	—	8	4	no	—
628	C₂×Q₈	C₂⁴	1	2	yes	—
629	C₂×Q₈	C₂⁴	1	2	yes	—
630	C₂×Q₈	C₂⁴	1	2	yes	—
631	C₂×Q₈	C₂⁴	1	2	yes	—
632	C₂×Q₈	C₂⁴	1	4	yes	—
633	C₂×Q₈	C₂⁴	1	2	yes	—
634	C₂×Q₈	C₂⁴	1	4	yes	—
635	C₂×Q₈	C₂⁴	1	4	yes	—
636	C₂×Q₈	C₂⁴	1	4	yes	—
637	C₂×Q₈	C₂⁴	1	2	yes	—
638	C₂×Q₈	C₂⁴	1	4	yes	—
639	C₂×Q₈	C₂⁴	1	2	yes	—
640	C₂×D₄	—	4	2	no	—
641	C₂×D₄	—	4	4	no	—
642	C₂×D₄	—	4	8	no	—
643	C₂×D₄	—	8	2	no	—
644	C₂×D₄	—	8	2	no	—
645	C₂×D₄	—	8	4	no	—
646	C₂×D₄	C₂⁴	1	4	yes	—
647	C₂×D₄	C₂⁴	1	4	yes	—
648	C₂×D₄	C₂⁴	1	4	yes	—
649	C₂×D₄	C₂⁴	1	2	yes	—
650	C₂×D₄	C₂⁴	1	4	yes	—
651	C₂×D₄	C₂⁴	1	4	yes	—
652	C₂×D₄	C₂⁴	1	1	yes	characteristic
653	C₂×D₄	C₂⁴	1	4	yes	—
654	C₂×D₄	C₂⁴	1	2	yes	—
655	C₂×D₄	C₂⁴	1	2	yes	—
656	C₂×D₄	C₂⁴	1	4	yes	—
657	C₂×D₄	C₂⁴	1	4	yes	—
658	C₂×D₄	C₂⁴	1	1	yes	characteristic
659	C₂×D₄	C₂⁴	1	4	yes	—
660	C₂×D₄	C₂⁴	1	4	yes	—
661	C₂×D₄	C₂⁴	1	4	yes	—
662	C₂×D₄	C₂⁴	1	2	yes	—
663	C₂×D₄	C₂⁴	1	2	yes	—
664	C₂×D₄	C₂⁴	1	4	yes	—
665	C₂×D₄	C₂⁴	1	4	yes	—
666	C₂×D₄	C₂⁴	1	4	yes	—
667	C₂×D₄	C₂⁴	1	4	yes	—
668	C₂×D₄	C₂⁴	1	4	yes	—
669	C₂×D₄	C₂⁴	1	2	yes	—
670	C₂²×C₄	—	4	2	no	—
671	C₂²×C₄	—	8	2	no	—
672	C₂²×C₄	C₂⁴	1	1	yes	characteristic
673	C₂²×C₄	C₂⁴	1	2	yes	—
674	C₂²×C₄	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄	C₂⁴	1	1	yes	characteristic
677	C₂²×C₄	C₂⁴	1	1	yes	characteristic
678	C₂²×C₄	C₂⁴	1	4	yes	—
679	C₂²×C₄	C₂⁴	1	4	yes	—
680	C₂²×C₄	C₂⁴	1	2	yes	—
681	C₂²×C₄	C₂⁴	1	1	yes	characteristic
682	C₂²×C₄	C₂⁴	1	4	yes	—
683	C₂²×C₄	C₂⁴	1	4	yes	—
684	C₂²×C₄	C₂⁴	1	4	yes	—
685	C₂²×C₄	C₂⁴	1	4	yes	—
686	C₂²×C₄	C₂⁴	1	2	yes	—
687	C₂²×C₄	C₂⁴	1	2	yes	—
688	C₂²×C₄	C₂⁴	1	2	yes	—
689	C₂²×C₄	C₂⁴	1	4	yes	—
690	C₂²×C₄	C₂⁴	1	4	yes	—
691	C₂²×C₄	C₂⁴	1	2	yes	—
692	C₂²×C₄	C₂⁴	1	4	yes	—
693	C₂²×C₄	C₂⁴	1	4	yes	—
694	C₂²×C₄	C₂⁴	1	4	yes	—
695	C₂²×C₄	C₂⁴	1	4	yes	—
696	C₂²×C₄	C₂⁴	1	4	yes	—
697	C₂²×C₄	C₂⁴	1	2	yes	—
698	C₂²×C₄	C₂⁴	1	2	yes	—
699	C₂²×C₄	C₂⁴	1	4	yes	—
700	C₂²×C₄	C₂⁴	1	2	yes	—
701	C₂²×C₄	C₂⁴	1	2	yes	—
702	C₂²×C₄	C₂⁴	1	2	yes	—
703	C₂²×C₄	C₂⁴	1	2	yes	—
704	C₄⋊C₄	C₂⁴	1	4	yes	—
705	C₄⋊C₄	C₂⁴	1	2	yes	—
706	C₄⋊C₄	C₂⁴	1	4	yes	—
707	C₄⋊C₄	C₂⁴	1	4	yes	—
708	C₄⋊C₄	C₂⁴	1	2	yes	—
709	C₄⋊C₄	C₂⁴	1	4	yes	—
710	C₄⋊C₄	C₂⁴	1	4	yes	—
711	C₄⋊C₄	C₂⁴	1	4	yes	—
712	C₄⋊C₄	C₂⁴	1	4	yes	—
713	C₄⋊C₄	C₂⁴	1	4	yes	—
714	C₄⋊C₄	C₂⁴	1	2	yes	—
715	C₄⋊C₄	C₂⁴	1	2	yes	—
716	C₄⋊C₄	C₂⁴	1	4	yes	—
717	C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₄⋊C₄	C₂⁴	1	4	yes	—
719	C₄⋊C₄	C₂⁴	1	4	yes	—
720	C₄⋊C₄	C₂⁴	1	4	yes	—
721	C₄⋊C₄	C₂⁴	1	2	yes	—
722	C₄⋊C₄	C₂⁴	1	2	yes	—
723	C₄⋊C₄	C₂⁴	1	4	yes	—
724	C₄⋊C₄	C₂⁴	1	4	yes	—
725	C₄⋊C₄	C₂⁴	1	4	yes	—
726	C₄⋊C₄	C₂⁴	1	4	yes	—
727	C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
730	C₄⋊C₄	C₂⁴	1	2	yes	—
731	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
732	C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₄⋊C₄	C₂⁴	1	2	yes	—
734	C₄⋊C₄	C₂⁴	1	2	yes	—
735	C₄⋊C₄	C₂⁴	1	4	yes	—
736	C₄⋊C₄	C₂⁴	1	4	yes	—
737	C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₄⋊C₄	C₂⁴	1	2	yes	—
739	C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₄⋊C₄	C₂⁴	1	2	yes	—
746	C₄⋊C₄	C₂⁴	1	4	yes	—
747	C₄⋊C₄	C₂⁴	1	4	yes	—
748	C₄⋊C₄	C₂⁴	1	4	yes	—
749	C₄⋊C₄	C₂⁴	1	4	yes	—
750	C₄⋊C₄	C₂⁴	1	4	yes	—
751	C₄⋊C₄	C₂⁴	1	4	yes	—
752	C₄⋊C₄	C₂⁴	1	4	yes	—
753	C₄⋊C₄	C₂⁴	1	4	yes	—
754	C₄⋊C₄	C₂⁴	1	4	yes	—
755	C₄⋊C₄	C₂⁴	1	4	yes	—
756	C₄⋊C₄	C₂⁴	1	4	yes	—
757	C₄⋊C₄	C₂⁴	1	2	yes	—
758	C₄⋊C₄	C₂⁴	1	2	yes	—
759	C₂²⋊C₄	C₂⁴	1	2	yes	—
760	C₂²⋊C₄	C₂⁴	1	2	yes	—
761	C₂²⋊C₄	C₂⁴	1	4	yes	—
762	C₂²⋊C₄	C₂⁴	1	4	yes	—
763	C₂²⋊C₄	C₂⁴	1	4	yes	—
764	C₂²⋊C₄	C₂⁴	1	4	yes	—
765	C₂²⋊C₄	C₂⁴	1	4	yes	—
766	C₂²⋊C₄	C₂⁴	1	4	yes	—
767	C₂²⋊C₄	C₂⁴	1	4	yes	—
768	C₂²⋊C₄	C₂⁴	1	4	yes	—
769	C₂²⋊C₄	C₂⁴	1	4	yes	—
770	C₂²⋊C₄	C₂⁴	1	4	yes	—
771	C₂²⋊C₄	C₂⁴	1	4	yes	—
772	C₂²⋊C₄	C₂⁴	1	4	yes	—
773	C₂²⋊C₄	C₂⁴	1	4	yes	—
774	C₂²⋊C₄	C₂⁴	1	4	yes	—
775	C₂²⋊C₄	C₂⁴	1	4	yes	—
776	C₂²⋊C₄	C₂⁴	1	4	yes	—
777	C₂²⋊C₄	C₂⁴	1	4	yes	—
778	C₂²⋊C₄	C₂⁴	1	4	yes	—
779	C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₂²⋊C₄	C₂⁴	1	4	yes	—
781	C₂²⋊C₄	C₂⁴	1	4	yes	—
782	C₂²⋊C₄	C₂⁴	1	4	yes	—
783	C₂²⋊C₄	C₂⁴	1	4	yes	—
784	C₂²⋊C₄	C₂⁴	1	4	yes	—
785	C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₂²⋊C₄	C₂⁴	1	4	yes	—
792	C₂²⋊C₄	C₂⁴	1	4	yes	—
793	C₂²⋊C₄	C₂⁴	1	4	yes	—
794	C₂²⋊C₄	C₂⁴	1	4	yes	—
795	C₂²⋊C₄	C₂⁴	1	2	yes	—
796	C₂²⋊C₄	C₂⁴	1	2	yes	—
797	C₂²⋊C₄	C₂⁴	1	4	yes	—
798	C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₂²⋊C₄	C₂⁴	1	4	yes	—
800	C₂²⋊C₄	C₂⁴	1	4	yes	—
801	C₂²⋊C₄	C₂⁴	1	4	yes	—
802	C₂²⋊C₄	C₂⁴	1	4	yes	—
803	C₂²⋊C₄	C₂⁴	1	4	yes	—
804	C₂²⋊C₄	C₂⁴	1	4	yes	—
805	C₂²⋊C₄	C₂⁴	1	4	yes	—
806	C₂²⋊C₄	C₂⁴	1	4	yes	—
807	C₂²⋊C₄	C₂⁴	1	4	yes	—
808	C₂²⋊C₄	C₂⁴	1	4	yes	—
809	C₂²⋊C₄	C₂⁴	1	4	yes	—
810	C₄²	C₂⁴	1	4	yes	—
811	C₄²	C₂⁴	1	4	yes	—
812	C₄²	C₂⁴	1	2	yes	—
813	C₄²	C₂⁴	1	2	yes	—
814	C₄²	C₂⁴	1	2	yes	—
815	C₄²	C₂⁴	1	4	yes	—
816	C₄²	C₂⁴	1	4	yes	—
817	C₄²	C₂⁴	1	4	yes	—
818	C₄²	C₂⁴	1	4	yes	—
819	C₄²	C₂⁴	1	2	yes	—
820	C₄²	C₂⁴	1	4	yes	—
821	C₄²	C₂⁴	1	4	yes	—
822	C₄²	C₂⁴	1	4	yes	—
823	C₄²	C₂⁴	1	4	yes	—
824	C₄²	C₂⁴	1	4	yes	—
825	C₄²	C₂⁴	1	4	yes	—
826	C₄²	C₂⁴	1	4	yes	—
827	C₂³	—	2	2	no	—
828	C₂³	—	2	4	no	—
829	C₂³	—	4	2	no	—
830	C₂³	—	4	1	no	—
831	C₂³	—	4	2	no	—
832	C₂³	—	4	1	no	—
833	C₂³	—	4	2	no	—
834	C₂³	—	4	4	no	—
835	C₂³	—	4	2	no	—
836	C₂³	—	4	4	no	—
837	C₂³	—	4	4	no	—
838	C₂³	—	4	2	no	—
839	C₂³	C₂⁵	1	2	yes	—
840	C₂³	C₂⁵	1	2	yes	—
841	C₂³	C₂⁵	1	4	yes	—
842	C₂³	C₂⁵	1	4	yes	—
843	C₂³	C₂⁵	1	2	yes	—
844	C₂³	C₂⁵	1	1	yes	characteristic
845	Q₈	—	4	2	no	—
846	Q₈	—	4	2	no	—
847	Q₈	—	4	4	no	—
848	Q₈	—	4	4	no	—
849	Q₈	—	4	2	no	—
850	Q₈	—	4	2	no	—
851	Q₈	—	4	4	no	—
852	Q₈	—	4	2	no	—
853	Q₈	—	4	4	no	—
854	Q₈	—	4	2	no	—
855	Q₈	—	4	2	no	—
856	Q₈	—	4	4	no	—
857	D₄	—	2	8	no	—
858	D₄	—	2	8	no	—
859	D₄	—	4	1	no	—
860	D₄	—	4	2	no	—
861	D₄	—	4	1	no	—
862	D₄	—	4	4	no	—
863	D₄	—	4	4	no	—
864	D₄	—	4	4	no	—
865	D₄	—	4	4	no	—
866	D₄	—	4	2	no	—
867	D₄	—	4	4	no	—
868	D₄	—	4	2	no	—
869	D₄	—	4	4	no	—
870	D₄	—	4	4	no	—
871	D₄	—	4	4	no	—
872	D₄	—	4	4	no	—
873	D₄	—	4	4	no	—
874	D₄	—	4	4	no	—
875	D₄	—	4	4	no	—
876	D₄	—	4	2	no	—
877	D₄	—	4	2	no	—
878	D₄	—	4	4	no	—
879	D₄	—	4	4	no	—
880	D₄	—	4	2	no	—
881	C₂×C₄	—	2	2	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	4	no	—
884	C₂×C₄	—	4	2	no	—
885	C₂×C₄	—	4	2	no	—
886	C₂×C₄	—	4	1	no	—
887	C₂×C₄	—	4	2	no	—
888	C₂×C₄	—	4	2	no	—
889	C₂×C₄	—	4	2	no	—
890	C₂×C₄	—	4	2	no	—
891	C₂×C₄	—	4	2	no	—
892	C₂×C₄	—	4	1	no	—
893	C₂×C₄	—	4	4	no	—
894	C₂×C₄	—	4	4	no	—
895	C₂×C₄	—	4	4	no	—
896	C₂×C₄	—	4	4	no	—
897	C₂×C₄	—	4	1	no	—
898	C₂×C₄	—	4	2	no	—
899	C₂×C₄	—	4	2	no	—
900	C₂×C₄	—	4	4	no	—
901	C₂×C₄	—	4	2	no	—
902	C₂×C₄	—	4	4	no	—
903	C₂×C₄	—	4	1	no	—
904	C₂×C₄	—	4	4	no	—
905	C₂×C₄	—	4	4	no	—
906	C₂×C₄	—	4	4	no	—
907	C₂×C₄	—	4	4	no	—
908	C₂×C₄	—	4	4	no	—
909	C₂×C₄	—	4	4	no	—
910	C₂×C₄	—	4	4	no	—
911	C₂×C₄	—	4	2	no	—
912	C₂×C₄	—	4	4	no	—
913	C₂×C₄	C₂⁵	1	2	yes	—
914	C₂×C₄	C₂⁵	1	2	yes	—
915	C₂×C₄	C₂⁵	1	4	yes	—
916	C₂×C₄	C₂⁵	1	4	yes	—
917	C₂×C₄	C₂⁵	1	2	yes	—
918	C₂×C₄	C₂⁵	1	4	yes	—
919	C₂×C₄	C₂⁵	1	1	yes	characteristic
920	C₂×C₄	C₂⁵	1	1	yes	characteristic
921	C₂×C₄	C₂⁵	1	4	yes	—
922	C₂×C₄	C₂⁵	1	4	yes	—
923	C₂×C₄	C₂⁵	1	4	yes	—
924	C₂×C₄	C₂⁵	1	4	yes	—
925	C₂×C₄	C₂⁵	1	2	yes	—
926	C₂×C₄	C₂⁵	1	2	yes	—
927	C₂×C₄	C₂⁵	1	4	yes	—
928	C₂×C₄	C₂⁵	1	2	yes	—
929	C₂×C₄	C₂⁵	1	2	yes	—
930	C₂²	—	2	1	no	—
931	C₂²	—	2	1	no	—
932	C₂²	—	2	2	no	—
933	C₂²	—	2	4	no	—
934	C₂²	—	2	2	no	—
935	C₂²	—	2	4	no	—
936	C₂²	—	2	2	no	—
937	C₂²	—	2	2	no	—
938	C₂²	—	2	4	no	—
939	C₂²	—	2	4	no	—
940	C₂²	—	2	2	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	2	no	—
943	C₂²	—	2	4	no	—
944	C₂²	—	2	2	no	—
945	C₂²	—	2	4	no	—
946	C₂²	—	2	2	no	—
947	C₂²	—	8	4	no	—
948	C₂²	—	8	2	no	—
949	C₂²	—	16	2	no	—
950	C₂²	—	16	4	no	—
951	C₂²	#585	1	2	yes	—
952	C₂²	C₂⁶	1	1	yes	characteristic
953	C₄	—	2	2	no	—
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	2	4	no	—
957	C₄	—	2	4	no	—
958	C₄	—	2	4	no	—
959	C₄	—	2	2	no	—
960	C₄	—	2	2	no	—
961	C₄	—	2	4	no	—
962	C₄	—	2	2	no	—
963	C₄	—	2	4	no	—
964	C₄	—	2	4	no	—
965	C₄	—	2	2	no	—
966	C₄	—	2	2	no	—
967	C₄	—	2	4	no	—
968	C₄	—	2	4	no	—
969	C₄	—	2	2	no	—
970	C₂	—	2	2	no	—
971	C₂	—	4	2	no	—
972	C₂	—	4	2	no	—
973	C₂	—	4	2	no	—
974	C₂	—	4	4	no	—
975	C₂	—	4	4	no	—
976	C₂	C₂×#585	1	1	yes	characteristic
977	C₂	H(7,𝔽₂)	1	1	yes	characteristic
978	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. #3566	C₂	semidirect
2. #3566	C₂	semidirect
3. #3565	C₂	semidirect
4. #3564	C₂	semidirect
5. #3561	C₂	semidirect
6. #3560	C₂	semidirect
7. #3552	C₂	semidirect
8. #3547	C₂	semidirect
9. #3545	C₂	semidirect
10. #3545	C₂	semidirect
11. #3538	C₂	semidirect
12. #3536	C₂	semidirect
13. #3535	C₂	semidirect
14. #3535	C₂	semidirect
15. #3534	C₂	semidirect
16. #3534	C₂	semidirect
17. #3521	C₂	semidirect
18. #3514	C₂	semidirect
19. #3505	C₂	semidirect
20. #3493	C₂	semidirect
21. #3491	C₂	semidirect
22. #3461	C₂	semidirect
23. C₂×#542	C₂	semidirect
24. #563	C₂²	semidirect
25. #563	C₂²	semidirect
26. #563	C₂²	semidirect
27. #563	C₂²	semidirect
28. #563	C₂²	semidirect
29. #563	C₂²	semidirect
30. #563	C₂²	semidirect
31. #562	C₂²	semidirect
32. #562	C₂²	semidirect
33. #562	C₂²	semidirect
34. #562	C₂²	semidirect
35. #562	C₂²	semidirect
36. #562	C₂²	semidirect
37. #562	C₂²	semidirect
38. #562	C₂²	semidirect
39. H(3,𝔽₄)	C₂²	semidirect
40. #560	C₂²	semidirect
41. #560	C₂²	semidirect
42. #559	C₂²	semidirect
43. #557	C₂²	semidirect
44. #556	C₂²	semidirect
45. #556	C₂²	semidirect
46. #556	C₂²	semidirect
47. #556	C₂²	semidirect
48. #556	C₂²	semidirect
49. #555	C₂²	semidirect
50. #555	C₂²	semidirect
51. #555	C₂²	semidirect
52. #555	C₂²	semidirect
53. #554	C₂²	semidirect
54. #554	C₂²	semidirect
55. #554	C₂²	semidirect
56. #553	C₂²	semidirect
57. #553	C₂²	semidirect
58. #553	C₂²	semidirect
59. #553	C₂²	semidirect
60. #553	C₂²	semidirect
61. #553	C₂²	semidirect
62. #553	C₂²	semidirect
63. #553	C₂²	semidirect
64. #553	C₂²	semidirect
65. #552	C₂²	semidirect
66. #552	C₂²	semidirect
67. #552	C₂²	semidirect
68. #552	C₂²	semidirect
69. #552	C₂²	semidirect
70. #552	C₂²	semidirect
71. #552	C₂²	semidirect
72. #552	C₂²	semidirect
73. #552	C₂²	semidirect
74. #552	C₂²	semidirect
75. #551	C₂²	semidirect
76. #551	C₂²	semidirect
77. #551	C₂²	semidirect
78. #551	C₂²	semidirect
79. #551	C₂²	semidirect
80. #551	C₂²	semidirect
81. #551	C₂²	semidirect
82. #551	C₂²	semidirect
83. #551	C₂²	semidirect
84. #551	C₂²	semidirect
85. #551	C₂²	semidirect
86. #551	C₂²	semidirect
87. #551	C₂²	semidirect
88. #551	C₂²	semidirect
89. #551	C₂²	semidirect
90. D₄×Q₈	C₂²	semidirect
91. D₄×Q₈	C₂²	semidirect
92. D₄×Q₈	C₂²	semidirect
93. #548	C₂²	semidirect
94. #548	C₂²	semidirect
95. #548	C₂²	semidirect
96. #548	C₂²	semidirect
97. #547	C₂²	semidirect
98. #547	C₂²	semidirect
99. #547	C₂²	semidirect
100. #546	C₂²	semidirect
101. #546	C₂²	semidirect
102. #546	C₂²	semidirect
103. #546	C₂²	semidirect
104. #546	C₂²	semidirect
105. #546	C₂²	semidirect
106. #546	C₂²	semidirect
107. #546	C₂²	semidirect
108. #546	C₂²	semidirect
109. #546	C₂²	semidirect
110. #546	C₂²	semidirect
111. D₄²	C₂²	semidirect
112. #544	C₂²	semidirect
113. #544	C₂²	semidirect
114. #544	C₂²	semidirect
115. #544	C₂²	semidirect
116. #544	C₂²	semidirect
117. #543	C₂²	semidirect
118. #543	C₂²	semidirect
119. #543	C₂²	semidirect
120. #542	C₂²	semidirect
121. #542	C₂²	semidirect
122. #542	C₂²	semidirect
123. #542	C₂²	semidirect
124. #542	C₂²	semidirect
125. #542	C₂²	semidirect
126. #542	C₂²	semidirect
127. #542	C₂²	semidirect
128. #542	C₂²	semidirect
129. #542	C₂²	semidirect
130. #542	C₂²	semidirect
131. #542	C₂²	semidirect
132. #542	C₂²	semidirect
133. #542	C₂²	semidirect
134. #542	C₂²	semidirect
135. #541	C₂²	semidirect
136. #541	C₂²	semidirect
137. #541	C₂²	semidirect
138. #541	C₂²	semidirect
139. #541	C₂²	semidirect
140. #540	C₂²	semidirect
141. #540	C₂²	semidirect
142. #539	C₂²	semidirect
143. #539	C₂²	semidirect
144. #539	C₂²	semidirect
145. #539	C₂²	semidirect
146. #539	C₂²	semidirect
147. #539	C₂²	semidirect
148. #539	C₂²	semidirect
149. #539	C₂²	semidirect
150. #539	C₂²	semidirect
151. #539	C₂²	semidirect
152. #539	C₂²	semidirect
153. #539	C₂²	semidirect
154. #539	C₂²	semidirect
155. #539	C₂²	semidirect
157. #538	C₂²	semidirect
158. #538	C₂²	semidirect
159. #538	C₂²	semidirect
160. #538	C₂²	semidirect
161. #538	C₂²	semidirect
162. #538	C₂²	semidirect
163. #538	C₂²	semidirect
164. #538	C₂²	semidirect
165. #538	C₂²	semidirect
166. #538	C₂²	semidirect
167. #538	C₂²	semidirect
168. #538	C₂²	semidirect
170. #537	C₂²	semidirect
171. #537	C₂²	semidirect
172. #537	C₂²	semidirect
173. #536	C₂²	semidirect
174. #536	C₂²	semidirect
175. #536	C₂²	semidirect
176. #536	C₂²	semidirect
178. #534	C₂²	semidirect
179. #534	C₂²	semidirect
180. #534	C₂²	semidirect
181. #533	C₂²	semidirect
182. #533	C₂²	semidirect
183. #532	C₂²	semidirect
184. C₂×C₄⋊Q₈	C₂²	semidirect
185. #529	C₂²	semidirect
186. #529	C₂²	semidirect
187. #529	C₂²	semidirect
188. #529	C₂²	semidirect
189. #529	C₂²	semidirect
190. #529	C₂²	semidirect
191. #529	C₂²	semidirect
192. #529	C₂²	semidirect
193. #529	C₂²	semidirect
194. #529	C₂²	semidirect
195. #529	C₂²	semidirect
196. #529	C₂²	semidirect
197. C₂×#126	C₂²	semidirect
198. C₂×#126	C₂²	semidirect
199. C₂×#124	C₂²	semidirect
200. C₂×#124	C₂²	semidirect
201. C₂×#124	C₂²	semidirect
203. #525	C₂²	semidirect
204. #525	C₂²	semidirect
205. C₂×#123	C₂²	semidirect
206. C₂×#123	C₂²	semidirect
207. C₂×C₂²⋊Q₈	C₂²	semidirect
208. C₂×C₂²⋊Q₈	C₂²	semidirect
209. C₂×C₂²⋊Q₈	C₂²	semidirect
211. C₂×#121	C₂²	semidirect
212. #520	C₂²	semidirect
213. #518	C₂²	semidirect
214. #518	C₂²	semidirect
215. C₄×#41	C₂²	semidirect
216. C₂×C₄×Q₈	C₂²	semidirect
217. C₂×C₄×D₄	C₂²	semidirect
218. C₂×#117	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3566	2
#3565	2
#3564	2
#3561	2
#3560	2
#3552	2
#3547	2
#3545	2
#3538	2
#3536	2
#3535	2
#3534	2
#3521	2
#3514	2
#3505	2
#3493	2
#3491	2
#3461	2
C₂×#542	2