Subgroups — #62828

Order 256.

3318 conjugacy classes of subgroups.

The subgroup lattice has 1174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3568	C₂	1	2	yes	maximal, complemented
2	#3567	C₂	1	2	yes	maximal, complemented
3	#3566	C₂	1	4	yes	maximal, complemented
4	#3565	C₂	1	2	yes	maximal, complemented
5	#3563	C₂	1	1	yes	maximal, characteristic, complemented
6	#3562	C₂	1	2	yes	maximal, complemented
7	#3561	C₂	1	1	yes	maximal, characteristic, complemented
8	#3559	C₂	1	1	yes	maximal, characteristic, complemented
9	#3558	C₂	1	1	yes	maximal, characteristic, complemented
10	#3553	C₂	1	2	yes	maximal, complemented
11	#3545	C₂	1	2	yes	maximal, complemented
12	#3535	C₂	1	2	yes	maximal, complemented
13	#3534	C₂	1	2	yes	maximal, complemented
14	#3524	C₂	1	2	yes	maximal, complemented
15	#3521	C₂	1	4	yes	maximal, complemented
16	#3521	C₂	1	4	yes	maximal, complemented
17	#3521	C₂	1	2	yes	maximal, complemented
18	#3520	C₂	1	2	yes	maximal, complemented
19	#3519	C₂	1	2	yes	maximal, complemented
20	#3516	C₂	1	2	yes	maximal, complemented
21	#3513	C₂	1	2	yes	maximal, complemented
22	#3513	C₂	1	4	yes	maximal, complemented
23	#3507	C₂	1	2	yes	maximal, complemented
24	#3505	C₂	1	2	yes	maximal, complemented
25	#3495	C₂	1	2	yes	maximal, complemented
26	#3494	C₂	1	2	yes	maximal, complemented
27	#3493	C₂	1	2	yes	maximal, complemented
28	#3491	C₂	1	2	yes	maximal, complemented
29	#3444	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#529	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#529	C₂	1	1	yes	maximal, characteristic, complemented
32	#564	C₂²	1	2	yes	complemented
33	#563	C₂²	1	4	yes	complemented
34	#563	C₂²	1	2	yes	complemented
35	#563	C₂²	1	2	yes	complemented
36	#563	C₂²	1	2	yes	complemented
37	#562	C₂²	1	4	yes	complemented
38	#562	C₂²	1	4	yes	complemented
39	#562	C₂²	1	2	yes	complemented
40	#562	C₂²	1	2	yes	complemented
41	#562	C₂²	1	2	yes	complemented
42	H(3,𝔽₄)	C₂²	1	2	yes	complemented
43	#560	C₂²	1	4	yes	complemented
44	#559	C₂²	1	2	yes	complemented
45	#559	C₂²	1	2	yes	complemented
46	#559	C₂²	1	4	yes	complemented
47	#557	C₂²	1	2	yes	complemented
48	#557	C₂²	1	2	yes	complemented
49	#556	C₂²	1	4	yes	complemented
50	#556	C₂²	1	4	yes	complemented
51	#556	C₂²	1	4	yes	complemented
52	#556	C₂²	1	2	yes	complemented
53	#556	C₂²	1	2	yes	complemented
54	#556	C₂²	1	4	yes	complemented
55	#556	C₂²	1	4	yes	complemented
56	#556	C₂²	1	2	yes	complemented
57	#555	C₂²	1	4	yes	complemented
58	#555	C₂²	1	4	yes	complemented
59	#555	C₂²	1	2	yes	complemented
60	#554	C₂²	1	4	yes	complemented
61	#554	C₂²	1	2	yes	complemented
62	#554	C₂²	1	2	yes	complemented
63	#554	C₂²	1	2	yes	complemented
64	#554	C₂²	1	4	yes	complemented
65	#554	C₂²	1	4	yes	complemented
66	#553	C₂²	1	4	yes	complemented
67	#553	C₂²	1	4	yes	complemented
68	#553	C₂²	1	4	yes	complemented
69	#553	C₂²	1	4	yes	complemented
70	#553	C₂²	1	2	yes	complemented
71	#553	C₂²	1	4	yes	complemented
72	#553	C₂²	1	2	yes	complemented
73	#553	C₂²	1	4	yes	complemented
74	#553	C₂²	1	4	yes	complemented
75	#553	C₂²	1	4	yes	complemented
76	#553	C₂²	1	2	yes	complemented
77	#553	C₂²	1	4	yes	complemented
78	#553	C₂²	1	4	yes	complemented
79	#553	C₂²	1	2	yes	complemented
80	#552	C₂²	1	4	yes	complemented
81	#552	C₂²	1	4	yes	complemented
82	#552	C₂²	1	4	yes	complemented
83	#552	C₂²	1	4	yes	complemented
84	#552	C₂²	1	4	yes	complemented
85	#552	C₂²	1	4	yes	complemented
86	#552	C₂²	1	4	yes	complemented
87	#552	C₂²	1	4	yes	complemented
88	#552	C₂²	1	2	yes	complemented
89	#552	C₂²	1	2	yes	complemented
90	#552	C₂²	1	4	yes	complemented
91	#552	C₂²	1	2	yes	complemented
92	#552	C₂²	1	4	yes	complemented
93	#552	C₂²	1	4	yes	complemented
94	#552	C₂²	1	2	yes	complemented
95	#551	C₂²	1	4	yes	complemented
96	#551	C₂²	1	4	yes	complemented
97	#551	C₂²	1	4	yes	complemented
98	#551	C₂²	1	4	yes	complemented
99	#551	C₂²	1	4	yes	complemented
100	#551	C₂²	1	4	yes	complemented
101	#551	C₂²	1	4	yes	complemented
102	#551	C₂²	1	4	yes	complemented
103	#551	C₂²	1	4	yes	complemented
104	#551	C₂²	1	4	yes	complemented
105	#551	C₂²	1	4	yes	complemented
106	#551	C₂²	1	4	yes	complemented
107	#551	C₂²	1	4	yes	complemented
108	#551	C₂²	1	4	yes	complemented
109	#550	C₂²	1	2	yes	complemented
110	D₄×Q₈	C₂²	1	2	yes	complemented
111	#548	C₂²	1	2	yes	complemented
112	#548	C₂²	1	2	yes	complemented
113	#548	C₂²	1	2	yes	complemented
114	#548	C₂²	1	2	yes	complemented
115	#547	C₂²	1	4	yes	complemented
116	#547	C₂²	1	2	yes	complemented
117	#547	C₂²	1	4	yes	complemented
118	#547	C₂²	1	2	yes	complemented
119	#546	C₂²	1	4	yes	complemented
120	#546	C₂²	1	4	yes	complemented
121	#546	C₂²	1	2	yes	complemented
122	#546	C₂²	1	2	yes	complemented
123	#546	C₂²	1	4	yes	complemented
124	#546	C₂²	1	2	yes	complemented
125	#546	C₂²	1	4	yes	complemented
126	#546	C₂²	1	4	yes	complemented
127	#546	C₂²	1	4	yes	complemented
128	#546	C₂²	1	4	yes	complemented
129	#546	C₂²	1	2	yes	complemented
130	D₄²	C₂²	1	4	yes	complemented
131	D₄²	C₂²	1	2	yes	complemented
132	#544	C₂²	1	2	yes	complemented
133	#544	C₂²	1	2	yes	complemented
134	#544	C₂²	1	2	yes	complemented
135	#543	C₂²	1	2	yes	complemented
136	#542	C₂²	1	2	yes	complemented
137	#542	C₂²	1	2	yes	complemented
138	#542	C₂²	1	2	yes	complemented
139	#542	C₂²	1	2	yes	complemented
140	#542	C₂²	1	4	yes	complemented
141	#542	C₂²	1	4	yes	complemented
142	#542	C₂²	1	4	yes	complemented
143	#542	C₂²	1	4	yes	complemented
144	#542	C₂²	1	4	yes	complemented
145	#542	C₂²	1	4	yes	complemented
146	#541	C₂²	1	2	yes	complemented
147	#541	C₂²	1	2	yes	complemented
148	#541	C₂²	1	4	yes	complemented
149	#541	C₂²	1	4	yes	complemented
150	#541	C₂²	1	4	yes	complemented
151	#540	C₂²	1	2	yes	complemented
152	#540	C₂²	1	2	yes	complemented
153	#540	C₂²	1	4	yes	complemented
154	#540	C₂²	1	4	yes	complemented
155	#540	C₂²	1	4	yes	complemented
156	#539	C₂²	1	2	yes	—
157	#539	C₂²	1	4	yes	complemented
158	#539	C₂²	1	2	yes	complemented
159	#539	C₂²	1	4	yes	complemented
160	#539	C₂²	1	4	yes	complemented
161	#539	C₂²	1	4	yes	complemented
162	#539	C₂²	1	4	yes	complemented
163	#539	C₂²	1	4	yes	complemented
164	#539	C₂²	1	4	yes	complemented
165	#539	C₂²	1	4	yes	complemented
166	#539	C₂²	1	4	yes	complemented
167	#539	C₂²	1	4	yes	complemented
168	#538	C₂²	1	4	yes	complemented
169	#538	C₂²	1	2	yes	complemented
170	#538	C₂²	1	2	yes	complemented
171	#538	C₂²	1	4	yes	complemented
172	#538	C₂²	1	4	yes	complemented
173	#538	C₂²	1	4	yes	complemented
174	#538	C₂²	1	4	yes	complemented
175	#538	C₂²	1	4	yes	complemented
176	#538	C₂²	1	4	yes	complemented
177	#538	C₂²	1	4	yes	complemented
178	#537	C₂²	1	2	yes	complemented
179	#536	C₂²	1	2	yes	complemented
180	#536	C₂²	1	4	yes	complemented
181	#535	C₂²	1	2	yes	complemented
182	#534	C₂²	1	2	yes	—
183	#534	C₂²	1	4	yes	complemented
184	#533	C₂²	1	1	yes	characteristic, complemented
185	#533	C₂²	1	1	yes	characteristic, complemented
186	#533	C₂²	1	1	yes	characteristic, complemented
187	#533	C₂²	1	2	yes	complemented
188	#532	C₂²	1	2	yes	—
189	#532	C₂²	1	1	yes	characteristic, complemented
190	#532	C₂²	1	1	yes	characteristic, complemented
191	#532	C₂²	1	1	yes	characteristic, complemented
192	#529	C₂²	1	1	yes	characteristic
193	#529	C₂²	1	1	yes	characteristic
194	#529	C₂²	1	1	yes	characteristic, complemented
195	#529	C₂²	1	2	yes	complemented
196	#529	C₂²	1	2	yes	complemented
197	#529	C₂²	1	2	yes	complemented
198	#529	C₂²	1	2	yes	complemented
199	#529	C₂²	1	2	yes	complemented
200	#529	C₂²	1	1	yes	characteristic, complemented
201	#529	C₂²	1	2	yes	complemented
202	#529	C₂²	1	1	yes	characteristic, complemented
203	#529	C₂²	1	2	yes	complemented
204	#529	C₂²	1	1	yes	characteristic, complemented
205	#529	C₂²	1	2	yes	complemented
206	#529	C₂²	1	2	yes	complemented
207	#529	C₂²	1	2	yes	complemented
208	#529	C₂²	1	2	yes	complemented
209	#529	C₂²	1	1	yes	characteristic, complemented
210	#529	C₂²	1	2	yes	complemented
211	#529	C₂²	1	1	yes	characteristic, complemented
212	#529	C₂²	1	2	yes	complemented
213	#529	C₂²	1	2	yes	complemented
214	#529	C₂²	1	2	yes	complemented
215	#529	C₂²	1	2	yes	complemented
216	#529	C₂²	1	2	yes	complemented
217	#529	C₂²	1	2	yes	complemented
218	#529	C₂²	1	4	yes	complemented
219	#529	C₂²	1	4	yes	complemented
220	#529	C₂²	1	2	yes	complemented
221	#529	C₂²	1	2	yes	complemented
222	#529	C₂²	1	4	yes	complemented
223	#529	C₂²	1	4	yes	complemented
224	#529	C₂²	1	4	yes	complemented
225	C₂×#126	C₂²	1	2	yes	complemented
226	C₂×#126	C₂²	1	2	yes	complemented
227	C₂×#126	C₂²	1	4	yes	complemented
228	C₂×#125	C₂²	1	1	yes	characteristic, complemented
229	C₂×#125	C₂²	1	1	yes	characteristic, complemented
230	C₂×#124	C₂²	1	1	yes	characteristic, complemented
231	C₂×#124	C₂²	1	1	yes	characteristic, complemented
232	#525	C₂²	1	2	yes	—
233	#525	C₂²	1	2	yes	complemented
234	#525	C₂²	1	2	yes	complemented
235	#525	C₂²	1	2	yes	complemented
236	#525	C₂²	1	4	yes	complemented
237	#525	C₂²	1	2	yes	complemented
238	C₂×#123	C₂²	1	2	yes	complemented
239	C₂×#123	C₂²	1	2	yes	complemented
240	C₂×#123	C₂²	1	4	yes	complemented
241	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
242	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
243	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
244	C₂×#121	C₂²	1	1	yes	characteristic
245	C₂×#121	C₂²	1	1	yes	characteristic
246	C₂×#121	C₂²	1	2	yes	complemented
247	#520	C₂²	1	4	yes	complemented
248	#520	C₂²	1	2	yes	complemented
249	#520	C₂²	1	2	yes	complemented
250	#520	C₂²	1	4	yes	complemented
251	#519	C₂²	1	2	yes	complemented
252	#518	C₂²	1	4	yes	complemented
253	#518	C₂²	1	2	yes	complemented
254	#518	C₂²	1	4	yes	complemented
255	C₄×#41	C₂²	1	2	yes	complemented
256	C₄×#41	C₂²	1	2	yes	complemented
257	C₄×#41	C₂²	1	2	yes	complemented
258	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
259	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
260	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
261	C₂×C₄×D₄	C₂²	1	2	yes	complemented
262	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
263	C₂×C₄×D₄	C₂²	1	2	yes	complemented
264	C₂×#117	C₂²	1	2	yes	complemented
265	C₂×#117	C₂²	1	2	yes	complemented
266	C₂²×C₄²	C₂²	1	1	yes	characteristic, complemented
267	C₂×#41	C₂³	1	2	yes	—
268	C₂×#41	C₂³	1	2	yes	—
269	C₂×#41	C₂³	1	2	yes	—
270	C₂×#41	C₂³	1	2	yes	—
271	C₂×#41	C₂³	1	2	yes	—
272	C₂×#41	C₂³	1	4	yes	—
273	C₂×#41	C₂³	1	4	yes	—
274	C₂²×Q₈	C₂³	1	1	yes	characteristic
275	C₂²×Q₈	C₂³	1	1	yes	characteristic
276	C₂²×Q₈	C₂³	1	2	yes	—
277	C₂²×D₄	C₂³	1	2	yes	—
278	C₂²×D₄	C₂³	1	2	yes	—
279	C₂²×D₄	C₂³	1	1	yes	characteristic
280	C₂²×D₄	C₂³	1	1	yes	characteristic
281	C₂²×D₄	C₂³	1	4	yes	—
282	C₂²×D₄	C₂³	1	2	yes	—
283	C₂²×D₄	C₂³	1	4	yes	—
284	C₂³×C₄	C₂³	1	2	yes	—
285	C₂³×C₄	C₂³	1	2	yes	—
286	C₂³×C₄	C₂³	1	1	yes	characteristic
287	C₂³×C₄	C₂³	1	1	yes	characteristic
288	C₂³×C₄	C₂³	1	1	yes	characteristic
289	C₄⋊Q₈	C₂³	1	2	yes	—
290	C₄⋊Q₈	C₂³	1	1	yes	characteristic
291	C₄⋊Q₈	C₂³	1	1	yes	characteristic
292	C₄⋊Q₈	C₂³	1	1	yes	characteristic
293	C₄⋊Q₈	C₂³	1	2	yes	—
294	C₄⋊Q₈	C₂³	1	2	yes	—
295	C₄⋊Q₈	C₂³	1	4	yes	—
296	C₄⋊Q₈	C₂³	1	4	yes	—
297	C₄⋊Q₈	C₂³	1	4	yes	—
298	C₄⋊Q₈	C₂³	1	4	yes	—
299	C₄⋊Q₈	C₂³	1	4	yes	—
300	#127	C₂³	1	2	yes	—
301	#127	C₂³	1	1	yes	characteristic
302	#127	C₂³	1	4	yes	—
303	#126	C₂³	1	2	yes	—
304	#126	C₂³	1	4	yes	—
305	#126	C₂³	1	2	yes	—
306	#126	C₂³	1	2	yes	—
307	#126	C₂³	1	2	yes	—
308	#126	C₂³	1	4	yes	—
309	#126	C₂³	1	2	yes	—
310	#126	C₂³	1	2	yes	—
311	#126	C₂³	1	4	yes	—
312	#126	C₂³	1	4	yes	—
313	#126	C₂³	1	2	yes	—
314	#126	C₂³	1	2	yes	—
315	#126	C₂³	1	4	yes	—
316	#126	C₂³	1	4	yes	—
317	#126	C₂³	1	4	yes	—
318	#126	C₂³	1	4	yes	—
319	#126	C₂³	1	4	yes	—
320	#126	C₂³	1	4	yes	—
321	#126	C₂³	1	4	yes	—
322	#126	C₂³	1	4	yes	—
323	#126	C₂³	1	4	yes	—
324	#126	C₂³	1	4	yes	—
325	#126	C₂³	1	4	yes	—
326	#126	C₂³	1	4	yes	—
327	#126	C₂³	1	4	yes	—
328	#126	C₂³	1	4	yes	—
329	#126	C₂³	1	4	yes	—
330	#126	C₂³	1	4	yes	—
331	#126	C₂³	1	4	yes	—
332	#126	C₂³	1	4	yes	—
333	#126	C₂³	1	4	yes	—
334	#126	C₂³	1	4	yes	—
335	#126	C₂³	1	4	yes	—
336	#126	C₂³	1	4	yes	—
337	#126	C₂³	1	4	yes	—
338	#126	C₂³	1	4	yes	—
339	#126	C₂³	1	4	yes	—
340	#126	C₂³	1	4	yes	—
341	#125	C₂³	1	1	yes	characteristic
342	#125	C₂³	1	1	yes	characteristic
343	#125	C₂³	1	2	yes	—
344	#125	C₂³	1	2	yes	—
345	#125	C₂³	1	2	yes	—
346	#125	C₂³	1	2	yes	—
347	#125	C₂³	1	1	yes	characteristic
348	#125	C₂³	1	2	yes	—
349	#125	C₂³	1	2	yes	—
350	#125	C₂³	1	1	yes	characteristic
351	#125	C₂³	1	2	yes	—
352	#125	C₂³	1	2	yes	—
353	#125	C₂³	1	2	yes	—
354	#125	C₂³	1	4	yes	—
355	#125	C₂³	1	4	yes	—
356	#125	C₂³	1	4	yes	—
357	#125	C₂³	1	4	yes	—
358	#125	C₂³	1	2	yes	—
359	#125	C₂³	1	4	yes	—
360	#125	C₂³	1	2	yes	—
361	#125	C₂³	1	4	yes	—
362	#125	C₂³	1	4	yes	—
363	#125	C₂³	1	4	yes	—
364	#125	C₂³	1	4	yes	—
365	#125	C₂³	1	4	yes	—
366	#125	C₂³	1	4	yes	—
367	#125	C₂³	1	4	yes	—
368	#125	C₂³	1	4	yes	—
369	#125	C₂³	1	4	yes	—
370	#125	C₂³	1	4	yes	—
371	#125	C₂³	1	4	yes	—
372	#124	C₂³	1	1	yes	characteristic
373	#124	C₂³	1	1	yes	characteristic
374	#124	C₂³	1	2	yes	—
375	#124	C₂³	1	2	yes	—
376	#124	C₂³	1	2	yes	—
377	#124	C₂³	1	2	yes	—
378	#124	C₂³	1	2	yes	—
379	#124	C₂³	1	1	yes	characteristic
380	#124	C₂³	1	2	yes	—
381	#124	C₂³	1	1	yes	characteristic
382	#124	C₂³	1	2	yes	—
383	#124	C₂³	1	2	yes	—
384	#124	C₂³	1	2	yes	—
385	#124	C₂³	1	2	yes	—
386	#124	C₂³	1	2	yes	—
387	#124	C₂³	1	4	yes	—
388	#124	C₂³	1	4	yes	—
389	#124	C₂³	1	4	yes	—
390	#124	C₂³	1	4	yes	—
391	#124	C₂³	1	4	yes	—
392	#124	C₂³	1	4	yes	—
393	#124	C₂³	1	4	yes	—
394	#124	C₂³	1	4	yes	—
395	#124	C₂³	1	4	yes	—
396	#124	C₂³	1	4	yes	—
397	#124	C₂³	1	4	yes	—
398	#124	C₂³	1	4	yes	—
399	#124	C₂³	1	4	yes	—
400	#124	C₂³	1	4	yes	—
401	#123	C₂³	1	2	yes	—
402	#123	C₂³	1	2	yes	—
403	#123	C₂³	1	4	yes	—
404	#123	C₂³	1	2	yes	—
405	#123	C₂³	1	4	yes	—
406	#123	C₂³	1	2	yes	—
407	#123	C₂³	1	4	yes	—
408	#123	C₂³	1	2	yes	—
409	#123	C₂³	1	4	yes	—
410	#123	C₂³	1	2	yes	—
411	#123	C₂³	1	2	yes	—
412	#123	C₂³	1	2	yes	—
413	#123	C₂³	1	4	yes	—
414	#123	C₂³	1	4	yes	—
415	#123	C₂³	1	4	yes	—
416	#123	C₂³	1	4	yes	—
417	#123	C₂³	1	4	yes	—
418	#123	C₂³	1	4	yes	—
419	#123	C₂³	1	4	yes	—
420	#123	C₂³	1	4	yes	—
421	#123	C₂³	1	4	yes	—
422	#123	C₂³	1	4	yes	—
423	#123	C₂³	1	4	yes	—
424	#123	C₂³	1	4	yes	—
425	#123	C₂³	1	4	yes	—
426	#123	C₂³	1	4	yes	—
427	#123	C₂³	1	4	yes	—
428	#123	C₂³	1	4	yes	—
429	#123	C₂³	1	4	yes	—
430	#123	C₂³	1	4	yes	—
431	#123	C₂³	1	4	yes	—
432	#123	C₂³	1	4	yes	—
433	#123	C₂³	1	4	yes	—
434	#123	C₂³	1	4	yes	—
435	#123	C₂³	1	4	yes	—
436	#123	C₂³	1	4	yes	—
437	#123	C₂³	1	4	yes	—
438	#123	C₂³	1	4	yes	—
439	#123	C₂³	1	4	yes	—
440	#123	C₂³	1	4	yes	—
441	#123	C₂³	1	4	yes	—
442	#123	C₂³	1	4	yes	—
443	#123	C₂³	1	4	yes	—
444	#123	C₂³	1	4	yes	—
445	#123	C₂³	1	4	yes	—
446	#123	C₂³	1	4	yes	—
447	#123	C₂³	1	4	yes	—
448	#123	C₂³	1	4	yes	—
449	#123	C₂³	1	4	yes	—
450	C₂²⋊Q₈	C₂³	1	2	yes	—
451	C₂²⋊Q₈	C₂³	1	2	yes	—
452	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
453	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
454	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
455	C₂²⋊Q₈	C₂³	1	2	yes	—
456	C₂²⋊Q₈	C₂³	1	1	yes	characteristic
457	C₂²⋊Q₈	C₂³	1	2	yes	—
458	C₂²⋊Q₈	C₂³	1	2	yes	—
459	C₂²⋊Q₈	C₂³	1	2	yes	—
460	C₂²⋊Q₈	C₂³	1	2	yes	—
461	C₂²⋊Q₈	C₂³	1	4	yes	—
462	C₂²⋊Q₈	C₂³	1	4	yes	—
463	C₂²⋊Q₈	C₂³	1	2	yes	—
464	C₂²⋊Q₈	C₂³	1	2	yes	—
465	C₂²⋊Q₈	C₂³	1	2	yes	—
466	C₂²⋊Q₈	C₂³	1	2	yes	—
467	C₂²⋊Q₈	C₂³	1	2	yes	—
468	C₂²⋊Q₈	C₂³	1	2	yes	—
469	C₂²⋊Q₈	C₂³	1	2	yes	—
470	C₂²⋊Q₈	C₂³	1	2	yes	—
471	C₂²⋊Q₈	C₂³	1	4	yes	—
472	C₂²⋊Q₈	C₂³	1	4	yes	—
473	C₂²⋊Q₈	C₂³	1	2	yes	—
474	C₂²⋊Q₈	C₂³	1	4	yes	—
475	C₂²⋊Q₈	C₂³	1	4	yes	—
476	C₂²⋊Q₈	C₂³	1	4	yes	—
477	C₂²⋊Q₈	C₂³	1	4	yes	—
478	C₂²⋊Q₈	C₂³	1	4	yes	—
479	C₂²⋊Q₈	C₂³	1	4	yes	—
480	C₂²⋊Q₈	C₂³	1	4	yes	—
481	C₂²⋊Q₈	C₂³	1	4	yes	—
482	C₂²⋊Q₈	C₂³	1	4	yes	—
483	C₂²⋊Q₈	C₂³	1	4	yes	—
484	C₂²⋊Q₈	C₂³	1	4	yes	—
485	C₂²⋊Q₈	C₂³	1	4	yes	—
486	C₂²⋊Q₈	C₂³	1	4	yes	—
487	C₂²⋊Q₈	C₂³	1	4	yes	—
488	C₂²⋊Q₈	C₂³	1	4	yes	—
489	C₂²⋊Q₈	C₂³	1	4	yes	—
490	C₂²⋊Q₈	C₂³	1	4	yes	—
491	C₂²⋊Q₈	C₂³	1	4	yes	—
492	C₂²⋊Q₈	C₂³	1	4	yes	—
493	C₂²⋊Q₈	C₂³	1	4	yes	—
494	C₂²⋊Q₈	C₂³	1	4	yes	—
495	C₂²⋊Q₈	C₂³	1	4	yes	—
496	C₂²⋊Q₈	C₂³	1	4	yes	—
497	C₂²⋊Q₈	C₂³	1	4	yes	—
498	C₂²⋊Q₈	C₂³	1	4	yes	—
499	C₂²⋊Q₈	C₂³	1	4	yes	—
500	#121	C₂³	1	2	yes	—
501	#121	C₂³	1	1	yes	characteristic
502	#121	C₂³	1	1	yes	characteristic
503	#121	C₂³	1	1	yes	characteristic
504	#121	C₂³	1	2	yes	—
505	#121	C₂³	1	1	yes	characteristic
506	#121	C₂³	1	2	yes	—
507	#121	C₂³	1	2	yes	—
508	#121	C₂³	1	2	yes	—
509	#121	C₂³	1	2	yes	—
510	#121	C₂³	1	2	yes	—
511	#121	C₂³	1	4	yes	—
512	#121	C₂³	1	4	yes	—
513	#121	C₂³	1	2	yes	—
514	#121	C₂³	1	2	yes	—
515	#121	C₂³	1	2	yes	—
516	#121	C₂³	1	2	yes	—
517	#121	C₂³	1	2	yes	—
518	#121	C₂³	1	2	yes	—
519	#121	C₂³	1	2	yes	—
520	#121	C₂³	1	2	yes	—
521	#121	C₂³	1	4	yes	—
522	#121	C₂³	1	4	yes	—
523	#121	C₂³	1	2	yes	—
524	#121	C₂³	1	4	yes	—
525	#121	C₂³	1	4	yes	—
526	#121	C₂³	1	4	yes	—
527	#121	C₂³	1	4	yes	—
528	#121	C₂³	1	4	yes	—
529	#121	C₂³	1	4	yes	—
530	#121	C₂³	1	4	yes	—
531	#121	C₂³	1	4	yes	—
532	#121	C₂³	1	4	yes	—
533	#121	C₂³	1	4	yes	—
534	#121	C₂³	1	4	yes	—
535	#121	C₂³	1	4	yes	—
536	#121	C₂³	1	4	yes	—
537	#121	C₂³	1	4	yes	—
538	#121	C₂³	1	4	yes	—
539	#121	C₂³	1	4	yes	—
540	#121	C₂³	1	4	yes	—
541	#121	C₂³	1	4	yes	—
542	#121	C₂³	1	4	yes	—
543	#121	C₂³	1	4	yes	—
544	#121	C₂³	1	4	yes	—
545	#121	C₂³	1	4	yes	—
546	#120	C₂³	1	4	yes	—
547	#120	C₂³	1	4	yes	—
548	#120	C₂³	1	4	yes	—
549	#120	C₂³	1	4	yes	—
550	#120	C₂³	1	4	yes	—
551	#120	C₂³	1	4	yes	—
552	#120	C₂³	1	4	yes	—
553	#120	C₂³	1	4	yes	—
554	#120	C₂³	1	4	yes	—
555	#120	C₂³	1	4	yes	—
556	#120	C₂³	1	4	yes	—
557	C₄×Q₈	C₂³	1	2	yes	—
558	C₄×Q₈	C₂³	1	1	yes	characteristic
559	C₄×Q₈	C₂³	1	1	yes	characteristic
560	C₄×Q₈	C₂³	1	2	yes	—
561	C₄×Q₈	C₂³	1	2	yes	—
562	C₄×Q₈	C₂³	1	2	yes	—
563	C₄×Q₈	C₂³	1	2	yes	—
564	C₄×Q₈	C₂³	1	1	yes	characteristic
565	C₄×Q₈	C₂³	1	2	yes	—
566	C₄×Q₈	C₂³	1	1	yes	characteristic
567	C₄×Q₈	C₂³	1	2	yes	—
568	C₄×Q₈	C₂³	1	2	yes	—
569	C₄×Q₈	C₂³	1	2	yes	—
570	C₄×Q₈	C₂³	1	2	yes	—
571	C₄×Q₈	C₂³	1	2	yes	—
572	C₄×Q₈	C₂³	1	2	yes	—
573	C₄×Q₈	C₂³	1	2	yes	—
574	C₄×Q₈	C₂³	1	4	yes	—
575	C₄×Q₈	C₂³	1	4	yes	—
576	C₄×Q₈	C₂³	1	2	yes	—
577	C₄×Q₈	C₂³	1	4	yes	—
578	C₄×Q₈	C₂³	1	4	yes	—
579	C₄×Q₈	C₂³	1	2	yes	—
580	C₄×Q₈	C₂³	1	4	yes	—
581	C₄×Q₈	C₂³	1	2	yes	—
582	C₄×Q₈	C₂³	1	4	yes	—
583	C₄×D₄	C₂³	1	2	yes	—
584	C₄×D₄	C₂³	1	4	yes	—
585	C₄×D₄	C₂³	1	2	yes	—
586	C₄×D₄	C₂³	1	2	yes	—
587	C₄×D₄	C₂³	1	2	yes	—
588	C₄×D₄	C₂³	1	1	yes	characteristic
589	C₄×D₄	C₂³	1	1	yes	characteristic
590	C₄×D₄	C₂³	1	2	yes	—
591	C₄×D₄	C₂³	1	2	yes	—
592	C₄×D₄	C₂³	1	4	yes	—
593	C₄×D₄	C₂³	1	2	yes	—
594	C₄×D₄	C₂³	1	2	yes	—
595	C₄×D₄	C₂³	1	2	yes	—
596	C₄×D₄	C₂³	1	2	yes	—
597	C₄×D₄	C₂³	1	4	yes	—
598	C₄×D₄	C₂³	1	2	yes	—
599	C₄×D₄	C₂³	1	1	yes	characteristic
600	C₄×D₄	C₂³	1	2	yes	—
601	C₄×D₄	C₂³	1	2	yes	—
602	C₄×D₄	C₂³	1	2	yes	—
603	C₄×D₄	C₂³	1	4	yes	—
604	C₄×D₄	C₂³	1	1	yes	characteristic
605	C₄×D₄	C₂³	1	4	yes	—
606	C₄×D₄	C₂³	1	4	yes	—
607	C₄×D₄	C₂³	1	2	yes	—
608	C₄×D₄	C₂³	1	4	yes	—
609	C₄×D₄	C₂³	1	4	yes	—
610	C₄×D₄	C₂³	1	4	yes	—
611	C₄×D₄	C₂³	1	4	yes	—
612	C₄×D₄	C₂³	1	2	yes	—
613	C₄×D₄	C₂³	1	2	yes	—
614	C₄×D₄	C₂³	1	2	yes	—
615	C₄×D₄	C₂³	1	2	yes	—
616	C₄×D₄	C₂³	1	2	yes	—
617	C₄×D₄	C₂³	1	4	yes	—
618	C₄×D₄	C₂³	1	4	yes	—
619	C₄×D₄	C₂³	1	4	yes	—
620	C₄×D₄	C₂³	1	4	yes	—
621	C₄×D₄	C₂³	1	4	yes	—
622	C₄×D₄	C₂³	1	4	yes	—
623	C₄×D₄	C₂³	1	4	yes	—
624	C₄×D₄	C₂³	1	4	yes	—
625	C₄×D₄	C₂³	1	4	yes	—
626	C₄×D₄	C₂³	1	4	yes	—
627	C₄×D₄	C₂³	1	2	yes	—
628	C₄×D₄	C₂³	1	4	yes	—
629	C₄×D₄	C₂³	1	4	yes	—
630	C₄×D₄	C₂³	1	4	yes	—
631	C₄×D₄	C₂³	1	4	yes	—
632	C₄×D₄	C₂³	1	2	yes	—
633	C₄×D₄	C₂³	1	4	yes	—
634	C₄×D₄	C₂³	1	4	yes	—
635	C₄×D₄	C₂³	1	4	yes	—
636	C₄×D₄	C₂³	1	4	yes	—
637	C₄×D₄	C₂³	1	4	yes	—
638	C₄×D₄	C₂³	1	4	yes	—
639	C₄×D₄	C₂³	1	4	yes	—
640	C₄×D₄	C₂³	1	4	yes	—
641	C₄×D₄	C₂³	1	4	yes	—
642	C₄×D₄	C₂³	1	4	yes	—
643	C₄×D₄	C₂³	1	4	yes	—
644	C₄×D₄	C₂³	1	2	yes	—
645	C₄×D₄	C₂³	1	4	yes	—
646	C₄×D₄	C₂³	1	2	yes	—
647	#117	C₂³	1	2	yes	—
648	#117	C₂³	1	2	yes	—
649	#117	C₂³	1	2	yes	—
650	#117	C₂³	1	2	yes	—
651	#117	C₂³	1	2	yes	—
652	#117	C₂³	1	2	yes	—
653	#117	C₂³	1	4	yes	—
654	#117	C₂³	1	4	yes	—
655	#117	C₂³	1	4	yes	—
656	#117	C₂³	1	4	yes	—
657	#117	C₂³	1	2	yes	—
658	#117	C₂³	1	2	yes	—
659	#117	C₂³	1	2	yes	—
660	#117	C₂³	1	2	yes	—
661	#117	C₂³	1	2	yes	—
662	#117	C₂³	1	4	yes	—
663	#117	C₂³	1	4	yes	—
664	#117	C₂³	1	4	yes	—
665	#117	C₂³	1	2	yes	—
666	#117	C₂³	1	4	yes	—
667	#117	C₂³	1	4	yes	—
668	#117	C₂³	1	4	yes	—
669	#117	C₂³	1	4	yes	—
670	#117	C₂³	1	2	yes	—
671	#117	C₂³	1	4	yes	—
672	#117	C₂³	1	4	yes	—
673	#117	C₂³	1	4	yes	—
674	#117	C₂³	1	4	yes	—
675	#117	C₂³	1	4	yes	—
676	#117	C₂³	1	4	yes	—
677	#117	C₂³	1	4	yes	—
678	#117	C₂³	1	4	yes	—
679	#117	C₂³	1	4	yes	—
680	#117	C₂³	1	4	yes	—
681	C₂×C₄⋊C₄	C₂³	1	2	yes	—
682	C₂×C₄⋊C₄	C₂³	1	2	yes	—
683	C₂×C₄⋊C₄	C₂³	1	2	yes	—
684	C₂×C₄⋊C₄	C₂³	1	2	yes	—
685	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂³	1	2	yes	—
688	C₂×C₄⋊C₄	C₂³	1	2	yes	—
689	C₂×C₄⋊C₄	C₂³	1	2	yes	—
690	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂³	1	2	yes	—
693	C₂×C₄⋊C₄	C₂³	1	2	yes	—
694	C₂×C₄⋊C₄	C₂³	1	4	yes	—
695	C₂×C₄⋊C₄	C₂³	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³	1	4	yes	—
697	C₂×C₄⋊C₄	C₂³	1	4	yes	—
698	C₂×C₄⋊C₄	C₂³	1	4	yes	—
699	C₂×C₄⋊C₄	C₂³	1	4	yes	—
700	C₂×C₄⋊C₄	C₂³	1	4	yes	—
701	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
706	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
710	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
712	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
713	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
714	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
715	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
716	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
717	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
718	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
719	C₂×C₄²	C₂³	1	1	yes	characteristic
720	C₂×C₄²	C₂³	1	1	yes	characteristic
721	C₂×C₄²	C₂³	1	2	yes	—
722	C₂×C₄²	C₂³	1	2	yes	—
723	C₂×C₄²	C₂³	1	1	yes	characteristic
724	C₂×C₄²	C₂³	1	1	yes	characteristic
725	C₂×C₄²	C₂³	1	4	yes	—
726	C₂×C₄²	C₂³	1	1	yes	characteristic
727	C₂×C₄²	C₂³	1	1	yes	characteristic
728	C₂×C₄²	C₂³	1	1	yes	characteristic
729	C₂×C₄²	C₂³	1	1	yes	characteristic
730	C₂×C₄²	C₂³	1	1	yes	characteristic
731	C₂×C₄²	C₂³	1	1	yes	characteristic
732	C₂×C₄²	C₂³	1	1	yes	characteristic
733	C₂×C₄²	C₂³	1	1	yes	characteristic
734	C₂⁴	C₂⁴	1	1	yes	characteristic
735	C₂⁴	C₂⁴	1	2	yes	—
736	C₂⁴	C₂⁴	1	2	yes	—
737	C₂⁴	C₂⁴	1	4	yes	—
738	#41	—	4	4	no	—
739	#41	—	4	4	no	—
740	#41	—	4	8	no	—
741	#41	—	4	8	no	—
742	#41	—	4	4	no	—
743	#41	—	4	4	no	—
744	#41	—	4	4	no	—
745	C₂×Q₈	—	4	2	no	—
746	C₂×Q₈	—	4	2	no	—
747	C₂×Q₈	—	4	4	no	—
748	C₂×Q₈	C₂⁴	1	2	yes	—
749	C₂×Q₈	C₂⁴	1	2	yes	—
750	C₂×Q₈	C₂⁴	1	1	yes	characteristic
751	C₂×Q₈	C₂⁴	1	4	yes	—
752	C₂×Q₈	C₂⁴	1	4	yes	—
753	C₂×Q₈	C₂⁴	1	2	yes	—
754	C₂×Q₈	C₂⁴	1	2	yes	—
755	C₂×Q₈	C₂⁴	1	2	yes	—
756	C₂×Q₈	C₂⁴	1	2	yes	—
757	C₂×Q₈	C₂⁴	1	4	yes	—
758	C₂×Q₈	C₂⁴	1	1	yes	characteristic
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	4	4	no	—
761	C₂×D₄	—	4	2	no	—
762	C₂×D₄	—	4	4	no	—
763	C₂×D₄	—	4	8	no	—
764	C₂×D₄	—	4	4	no	—
765	C₂×D₄	—	4	8	no	—
766	C₂×D₄	C₂⁴	1	2	yes	—
767	C₂×D₄	C₂⁴	1	4	yes	—
768	C₂×D₄	C₂⁴	1	4	yes	—
769	C₂×D₄	C₂⁴	1	4	yes	—
770	C₂×D₄	C₂⁴	1	2	yes	—
771	C₂×D₄	C₂⁴	1	2	yes	—
772	C₂×D₄	C₂⁴	1	2	yes	—
773	C₂×D₄	C₂⁴	1	4	yes	—
774	C₂×D₄	C₂⁴	1	1	yes	characteristic
775	C₂×D₄	C₂⁴	1	4	yes	—
776	C₂×D₄	C₂⁴	1	4	yes	—
777	C₂×D₄	C₂⁴	1	4	yes	—
778	C₂×D₄	C₂⁴	1	4	yes	—
779	C₂×D₄	C₂⁴	1	2	yes	—
780	C₂×D₄	C₂⁴	1	2	yes	—
781	C₂×D₄	C₂⁴	1	2	yes	—
782	C₂×D₄	C₂⁴	1	4	yes	—
783	C₂×D₄	C₂⁴	1	2	yes	—
784	C₂×D₄	C₂⁴	1	2	yes	—
785	C₂×D₄	C₂⁴	1	4	yes	—
786	C₂×D₄	C₂⁴	1	4	yes	—
787	C₂×D₄	C₂⁴	1	4	yes	—
788	C₂×D₄	C₂⁴	1	4	yes	—
789	C₂×D₄	C₂⁴	1	1	yes	characteristic
790	C₂×D₄	C₂⁴	1	4	yes	—
791	C₂×D₄	C₂⁴	1	2	yes	—
792	C₂²×C₄	—	4	2	no	—
793	C₂²×C₄	—	4	4	no	—
794	C₂²×C₄	—	4	2	no	—
795	C₂²×C₄	—	4	4	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	C₂⁴	1	1	yes	characteristic
798	C₂²×C₄	C₂⁴	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴	1	1	yes	characteristic
801	C₂²×C₄	C₂⁴	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴	1	1	yes	characteristic
803	C₂²×C₄	C₂⁴	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴	1	2	yes	—
805	C₂²×C₄	C₂⁴	1	2	yes	—
806	C₂²×C₄	C₂⁴	1	2	yes	—
807	C₂²×C₄	C₂⁴	1	2	yes	—
808	C₂²×C₄	C₂⁴	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴	1	1	yes	characteristic
813	C₂²×C₄	C₂⁴	1	1	yes	characteristic
814	C₂²×C₄	C₂⁴	1	1	yes	characteristic
815	C₂²×C₄	C₂⁴	1	1	yes	characteristic
816	C₂²×C₄	C₂⁴	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴	1	2	yes	—
820	C₂²×C₄	C₂⁴	1	2	yes	—
821	C₂²×C₄	C₂⁴	1	2	yes	—
822	C₂²×C₄	C₂⁴	1	4	yes	—
823	C₂²×C₄	C₂⁴	1	4	yes	—
824	C₂²×C₄	C₂⁴	1	4	yes	—
825	C₂²×C₄	C₂⁴	1	2	yes	—
826	C₂²×C₄	C₂⁴	1	4	yes	—
827	C₂²×C₄	C₂⁴	1	4	yes	—
828	C₂²×C₄	C₂⁴	1	2	yes	—
829	C₂²×C₄	C₂⁴	1	4	yes	—
830	C₂²×C₄	C₂⁴	1	4	yes	—
831	C₂²×C₄	C₂⁴	1	4	yes	—
832	C₂²×C₄	C₂⁴	1	4	yes	—
833	C₂²×C₄	C₂⁴	1	4	yes	—
834	C₂²×C₄	C₂⁴	1	4	yes	—
835	C₂²×C₄	C₂⁴	1	4	yes	—
836	C₂²×C₄	C₂⁴	1	4	yes	—
837	C₂²×C₄	C₂⁴	1	2	yes	—
838	C₂²×C₄	C₂⁴	1	4	yes	—
839	C₄⋊C₄	C₂⁴	1	2	yes	—
840	C₄⋊C₄	C₂⁴	1	2	yes	—
841	C₄⋊C₄	C₂⁴	1	2	yes	—
842	C₄⋊C₄	C₂⁴	1	2	yes	—
843	C₄⋊C₄	C₂⁴	1	2	yes	—
844	C₄⋊C₄	C₂⁴	1	4	yes	—
845	C₄⋊C₄	C₂⁴	1	4	yes	—
846	C₄⋊C₄	C₂⁴	1	2	yes	—
847	C₄⋊C₄	C₂⁴	1	4	yes	—
848	C₄⋊C₄	C₂⁴	1	2	yes	—
849	C₄⋊C₄	C₂⁴	1	4	yes	—
850	C₄⋊C₄	C₂⁴	1	4	yes	—
851	C₄⋊C₄	C₂⁴	1	4	yes	—
852	C₄⋊C₄	C₂⁴	1	4	yes	—
853	C₄⋊C₄	C₂⁴	1	4	yes	—
854	C₄⋊C₄	C₂⁴	1	2	yes	—
855	C₄⋊C₄	C₂⁴	1	2	yes	—
856	C₄⋊C₄	C₂⁴	1	2	yes	—
857	C₄⋊C₄	C₂⁴	1	2	yes	—
858	C₄⋊C₄	C₂⁴	1	2	yes	—
859	C₄⋊C₄	C₂⁴	1	4	yes	—
860	C₄⋊C₄	C₂⁴	1	4	yes	—
861	C₄⋊C₄	C₂⁴	1	4	yes	—
862	C₄⋊C₄	C₂⁴	1	2	yes	—
863	C₄⋊C₄	C₂⁴	1	2	yes	—
864	C₄⋊C₄	C₂⁴	1	4	yes	—
865	C₄⋊C₄	C₂⁴	1	4	yes	—
866	C₄⋊C₄	C₂⁴	1	2	yes	—
867	C₄⋊C₄	C₂⁴	1	2	yes	—
868	C₄⋊C₄	C₂⁴	1	2	yes	—
869	C₄⋊C₄	C₂⁴	1	2	yes	—
870	C₄⋊C₄	C₂⁴	1	2	yes	—
871	C₄⋊C₄	C₂⁴	1	4	yes	—
872	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
873	C₄⋊C₄	C₂⁴	1	2	yes	—
874	C₄⋊C₄	C₂⁴	1	2	yes	—
875	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
876	C₄⋊C₄	C₂⁴	1	2	yes	—
877	C₄⋊C₄	C₂⁴	1	4	yes	—
878	C₄⋊C₄	C₂⁴	1	4	yes	—
879	C₄⋊C₄	C₂⁴	1	4	yes	—
880	C₄⋊C₄	C₂⁴	1	4	yes	—
881	C₄⋊C₄	C₂⁴	1	4	yes	—
882	C₄⋊C₄	C₂⁴	1	4	yes	—
883	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
884	C₄⋊C₄	C₂⁴	1	2	yes	—
885	C₄⋊C₄	C₂⁴	1	2	yes	—
886	C₄⋊C₄	C₂⁴	1	1	yes	characteristic
887	C₄⋊C₄	C₂⁴	1	4	yes	—
888	C₄⋊C₄	C₂⁴	1	4	yes	—
889	C₄⋊C₄	C₂⁴	1	4	yes	—
890	C₄⋊C₄	C₂⁴	1	4	yes	—
891	C₄⋊C₄	C₂⁴	1	4	yes	—
892	C₄⋊C₄	C₂⁴	1	4	yes	—
893	C₄⋊C₄	C₂⁴	1	4	yes	—
894	C₄⋊C₄	C₂⁴	1	2	yes	—
895	C₄⋊C₄	C₂⁴	1	2	yes	—
896	C₄⋊C₄	C₂⁴	1	2	yes	—
897	C₄⋊C₄	C₂⁴	1	2	yes	—
898	C₄⋊C₄	C₂⁴	1	4	yes	—
899	C₄⋊C₄	C₂⁴	1	4	yes	—
900	C₄⋊C₄	C₂⁴	1	4	yes	—
901	C₄⋊C₄	C₂⁴	1	4	yes	—
902	C₄⋊C₄	C₂⁴	1	4	yes	—
903	C₂²⋊C₄	C₂⁴	1	2	yes	—
904	C₂²⋊C₄	C₂⁴	1	2	yes	—
905	C₂²⋊C₄	C₂⁴	1	2	yes	—
906	C₂²⋊C₄	C₂⁴	1	2	yes	—
907	C₂²⋊C₄	C₂⁴	1	2	yes	—
908	C₂²⋊C₄	C₂⁴	1	2	yes	—
909	C₂²⋊C₄	C₂⁴	1	4	yes	—
910	C₂²⋊C₄	C₂⁴	1	4	yes	—
911	C₂²⋊C₄	C₂⁴	1	4	yes	—
912	C₂²⋊C₄	C₂⁴	1	4	yes	—
913	C₂²⋊C₄	C₂⁴	1	4	yes	—
914	C₂²⋊C₄	C₂⁴	1	4	yes	—
915	C₂²⋊C₄	C₂⁴	1	4	yes	—
916	C₂²⋊C₄	C₂⁴	1	4	yes	—
917	C₂²⋊C₄	C₂⁴	1	4	yes	—
918	C₂²⋊C₄	C₂⁴	1	4	yes	—
919	C₂²⋊C₄	C₂⁴	1	2	yes	—
920	C₂²⋊C₄	C₂⁴	1	2	yes	—
921	C₂²⋊C₄	C₂⁴	1	2	yes	—
922	C₂²⋊C₄	C₂⁴	1	4	yes	—
923	C₂²⋊C₄	C₂⁴	1	4	yes	—
924	C₂²⋊C₄	C₂⁴	1	4	yes	—
925	C₂²⋊C₄	C₂⁴	1	4	yes	—
926	C₂²⋊C₄	C₂⁴	1	4	yes	—
927	C₂²⋊C₄	C₂⁴	1	2	yes	—
928	C₂²⋊C₄	C₂⁴	1	2	yes	—
929	C₂²⋊C₄	C₂⁴	1	2	yes	—
930	C₂²⋊C₄	C₂⁴	1	4	yes	—
931	C₂²⋊C₄	C₂⁴	1	4	yes	—
932	C₂²⋊C₄	C₂⁴	1	2	yes	—
933	C₂²⋊C₄	C₂⁴	1	2	yes	—
934	C₂²⋊C₄	C₂⁴	1	2	yes	—
935	C₂²⋊C₄	C₂⁴	1	2	yes	—
936	C₂²⋊C₄	C₂⁴	1	4	yes	—
937	C₂²⋊C₄	C₂⁴	1	2	yes	—
938	C₂²⋊C₄	C₂⁴	1	4	yes	—
939	C₂²⋊C₄	C₂⁴	1	4	yes	—
940	C₂²⋊C₄	C₂⁴	1	4	yes	—
941	C₂²⋊C₄	C₂⁴	1	4	yes	—
942	C₂²⋊C₄	C₂⁴	1	4	yes	—
943	C₂²⋊C₄	C₂⁴	1	2	yes	—
944	C₂²⋊C₄	C₂⁴	1	4	yes	—
945	C₂²⋊C₄	C₂⁴	1	2	yes	—
946	C₂²⋊C₄	C₂⁴	1	2	yes	—
947	C₂²⋊C₄	C₂⁴	1	4	yes	—
948	C₂²⋊C₄	C₂⁴	1	4	yes	—
949	C₂²⋊C₄	C₂⁴	1	4	yes	—
950	C₂²⋊C₄	C₂⁴	1	4	yes	—
951	C₂²⋊C₄	C₂⁴	1	4	yes	—
952	C₂²⋊C₄	C₂⁴	1	4	yes	—
953	C₂²⋊C₄	C₂⁴	1	4	yes	—
954	C₂²⋊C₄	C₂⁴	1	4	yes	—
955	C₂²⋊C₄	C₂⁴	1	4	yes	—
956	C₂²⋊C₄	C₂⁴	1	4	yes	—
957	C₂²⋊C₄	C₂⁴	1	4	yes	—
958	C₂²⋊C₄	C₂⁴	1	4	yes	—
959	C₂²⋊C₄	C₂⁴	1	4	yes	—
960	C₄²	C₂⁴	1	1	yes	characteristic
961	C₄²	C₂⁴	1	1	yes	characteristic
962	C₄²	C₂⁴	1	1	yes	characteristic
963	C₄²	C₂⁴	1	1	yes	characteristic
964	C₄²	C₂⁴	1	1	yes	characteristic
965	C₄²	C₂⁴	1	1	yes	characteristic
966	C₄²	C₂⁴	1	1	yes	characteristic
967	C₄²	C₂⁴	1	1	yes	characteristic
968	C₄²	C₂⁴	1	1	yes	characteristic
969	C₄²	C₂⁴	1	1	yes	characteristic
970	C₄²	C₂⁴	1	1	yes	characteristic
971	C₄²	C₂⁴	1	1	yes	characteristic
972	C₄²	C₂⁴	1	1	yes	characteristic
973	C₄²	C₂⁴	1	1	yes	characteristic
974	C₄²	C₂⁴	1	1	yes	characteristic
975	C₄²	C₂⁴	1	1	yes	characteristic
976	C₄²	C₂⁴	1	2	yes	—
977	C₄²	C₂⁴	1	4	yes	—
978	C₄²	C₂⁴	1	4	yes	—
979	C₄²	C₂⁴	1	4	yes	—
980	C₄²	C₂⁴	1	4	yes	—
981	C₄²	C₂⁴	1	4	yes	—
982	C₄²	C₂⁴	1	2	yes	—
983	C₄²	C₂⁴	1	2	yes	—
984	C₄²	C₂⁴	1	2	yes	—
985	C₄²	C₂⁴	1	4	yes	—
986	C₄²	C₂⁴	1	4	yes	—
987	C₄²	C₂⁴	1	4	yes	—
988	C₄²	C₂⁴	1	4	yes	—
989	C₄²	C₂⁴	1	4	yes	—
990	C₄²	C₂⁴	1	4	yes	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	2	4	no	—
994	C₂³	—	2	4	no	—
995	C₂³	—	4	1	no	—
996	C₂³	—	4	2	no	—
997	C₂³	—	4	2	no	—
998	C₂³	—	4	2	no	—
999	C₂³	—	4	2	no	—
1000	C₂³	—	4	4	no	—
1001	C₂³	—	4	4	no	—
1002	C₂³	—	4	4	no	—
1003	C₂³	C₂⁵	1	2	yes	—
1004	C₂³	C₂⁵	1	4	yes	—
1005	C₂³	C₂⁵	1	2	yes	—
1006	C₂³	C₂⁵	1	1	yes	characteristic
1007	C₂³	C₂⁵	1	4	yes	—
1008	C₂³	C₂⁵	1	1	yes	characteristic
1009	C₂³	C₂⁵	1	1	yes	characteristic
1010	Q₈	—	2	4	no	—
1011	Q₈	—	2	4	no	—
1012	Q₈	—	4	1	no	—
1013	Q₈	—	4	2	no	—
1014	Q₈	—	4	4	no	—
1015	Q₈	—	4	1	no	—
1016	Q₈	—	4	2	no	—
1017	Q₈	—	4	4	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	4	2	no	—
1020	Q₈	—	4	4	no	—
1021	D₄	—	2	4	no	—
1022	D₄	—	2	8	no	—
1023	D₄	—	2	4	no	—
1024	D₄	—	2	8	no	—
1025	D₄	—	2	8	no	—
1026	D₄	—	2	4	no	—
1027	D₄	—	2	4	no	—
1028	D₄	—	4	4	no	—
1029	D₄	—	4	1	no	—
1030	D₄	—	4	2	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	4	1	no	—
1033	D₄	—	4	4	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	4	4	no	—
1036	D₄	—	4	4	no	—
1037	D₄	—	4	4	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	4	4	no	—
1040	D₄	—	4	4	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	4	4	no	—
1044	D₄	—	4	4	no	—
1045	D₄	—	4	4	no	—
1046	D₄	—	4	4	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	4	no	—
1052	C₂×C₄	—	2	4	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	4	no	—
1056	C₂×C₄	—	2	4	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	4	1	no	—
1059	C₂×C₄	—	4	1	no	—
1060	C₂×C₄	—	4	1	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	4	no	—
1063	C₂×C₄	—	4	4	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	4	1	no	—
1066	C₂×C₄	—	4	1	no	—
1067	C₂×C₄	—	4	1	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	1	no	—
1071	C₂×C₄	—	4	2	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	4	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	4	4	no	—
1078	C₂×C₄	—	4	4	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	4	4	no	—
1081	C₂×C₄	—	4	4	no	—
1082	C₂×C₄	—	4	4	no	—
1083	C₂×C₄	—	4	4	no	—
1084	C₂×C₄	—	4	4	no	—
1085	C₂×C₄	—	4	4	no	—
1086	C₂×C₄	—	4	4	no	—
1087	C₂×C₄	—	4	4	no	—
1088	C₂×C₄	—	4	4	no	—
1089	C₂×C₄	C₂⁵	1	1	yes	characteristic
1090	C₂×C₄	C₂⁵	1	1	yes	characteristic
1091	C₂×C₄	C₂⁵	1	1	yes	characteristic
1092	C₂×C₄	C₂⁵	1	1	yes	characteristic
1093	C₂×C₄	C₂⁵	1	1	yes	characteristic
1094	C₂×C₄	C₂⁵	1	1	yes	characteristic
1095	C₂×C₄	C₂⁵	1	2	yes	—
1096	C₂×C₄	C₂⁵	1	4	yes	—
1097	C₂×C₄	C₂⁵	1	1	yes	characteristic
1098	C₂×C₄	C₂⁵	1	1	yes	characteristic
1099	C₂×C₄	C₂⁵	1	1	yes	characteristic
1100	C₂×C₄	C₂⁵	1	1	yes	characteristic
1101	C₂×C₄	C₂⁵	1	1	yes	characteristic
1102	C₂×C₄	C₂⁵	1	4	yes	—
1103	C₂×C₄	C₂⁵	1	4	yes	—
1104	C₂×C₄	C₂⁵	1	2	yes	—
1105	C₂×C₄	C₂⁵	1	4	yes	—
1106	C₂×C₄	C₂⁵	1	4	yes	—
1107	C₂×C₄	C₂⁵	1	2	yes	—
1108	C₂×C₄	C₂⁵	1	2	yes	—
1109	C₂×C₄	C₂⁵	1	2	yes	—
1110	C₂×C₄	C₂⁵	1	4	yes	—
1111	C₂×C₄	C₂⁵	1	2	yes	—
1112	C₂×C₄	C₂⁵	1	1	yes	characteristic
1113	C₂²	—	2	1	no	—
1114	C₂²	—	2	1	no	—
1115	C₂²	—	2	1	no	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	1	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	4	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	2	4	no	—
1123	C₂²	—	2	4	no	—
1124	C₂²	—	2	4	no	—
1125	C₂²	—	2	1	no	—
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	2	4	no	—
1129	C₂²	—	2	4	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	4	4	no	—
1133	C₂²	—	8	4	no	—
1134	C₂²	—	8	4	no	—
1135	C₂²	—	16	4	no	—
1136	C₂²	#585	1	2	yes	—
1137	C₂²	#585	1	2	yes	—
1138	C₂²	C₂⁶	1	1	yes	characteristic
1139	C₄	—	2	1	no	—
1140	C₄	—	2	1	no	—
1141	C₄	—	2	1	no	—
1142	C₄	—	2	1	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	4	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	2	1	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	4	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	4	no	—
1159	C₄	—	2	4	no	—
1160	C₄	—	2	4	no	—
1161	C₄	—	2	4	no	—
1162	C₄	#585	1	2	yes	—
1163	C₂	—	2	2	no	—
1164	C₂	—	2	2	no	—
1165	C₂	—	4	1	no	—
1166	C₂	—	4	2	no	—
1167	C₂	—	4	4	no	—
1168	C₂	—	4	2	no	—
1169	C₂	—	4	4	no	—
1170	C₂	C₂×#585	1	1	yes	characteristic
1171	C₂	C₂×#585	1	1	yes	characteristic
1172	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. #3568	C₂	semidirect
2. #3567	C₂	semidirect
3. #3566	C₂	semidirect
4. #3565	C₂	semidirect
5. #3563	C₂	semidirect
6. #3562	C₂	semidirect
7. #3561	C₂	semidirect
8. #3559	C₂	semidirect
9. #3558	C₂	semidirect
10. #3553	C₂	semidirect
11. #3545	C₂	semidirect
12. #3535	C₂	semidirect
13. #3534	C₂	semidirect
14. #3524	C₂	semidirect
15. #3521	C₂	semidirect
16. #3521	C₂	semidirect
17. #3521	C₂	semidirect
18. #3520	C₂	semidirect
19. #3519	C₂	semidirect
20. #3516	C₂	semidirect
21. #3513	C₂	semidirect
22. #3513	C₂	semidirect
23. #3507	C₂	semidirect
24. #3505	C₂	semidirect
25. #3495	C₂	semidirect
26. #3494	C₂	semidirect
27. #3493	C₂	semidirect
28. #3491	C₂	semidirect
29. #3444	C₂	semidirect
30. C₂×#529	C₂	semidirect
31. C₂×#529	C₂	semidirect
32. #564	C₂²	semidirect
33. #563	C₂²	semidirect
34. #563	C₂²	semidirect
35. #563	C₂²	semidirect
36. #563	C₂²	semidirect
37. #562	C₂²	semidirect
38. #562	C₂²	semidirect
39. #562	C₂²	semidirect
40. #562	C₂²	semidirect
41. #562	C₂²	semidirect
42. H(3,𝔽₄)	C₂²	semidirect
43. #560	C₂²	semidirect
44. #559	C₂²	semidirect
45. #559	C₂²	semidirect
46. #559	C₂²	semidirect
47. #557	C₂²	semidirect
48. #557	C₂²	semidirect
49. #556	C₂²	semidirect
50. #556	C₂²	semidirect
51. #556	C₂²	semidirect
52. #556	C₂²	semidirect
53. #556	C₂²	semidirect
54. #556	C₂²	semidirect
55. #556	C₂²	semidirect
56. #556	C₂²	semidirect
57. #555	C₂²	semidirect
58. #555	C₂²	semidirect
59. #555	C₂²	semidirect
60. #554	C₂²	semidirect
61. #554	C₂²	semidirect
62. #554	C₂²	semidirect
63. #554	C₂²	semidirect
64. #554	C₂²	semidirect
65. #554	C₂²	semidirect
66. #553	C₂²	semidirect
67. #553	C₂²	semidirect
68. #553	C₂²	semidirect
69. #553	C₂²	semidirect
70. #553	C₂²	semidirect
71. #553	C₂²	semidirect
72. #553	C₂²	semidirect
73. #553	C₂²	semidirect
74. #553	C₂²	semidirect
75. #553	C₂²	semidirect
76. #553	C₂²	semidirect
77. #553	C₂²	semidirect
78. #553	C₂²	semidirect
79. #553	C₂²	semidirect
80. #552	C₂²	semidirect
81. #552	C₂²	semidirect
82. #552	C₂²	semidirect
83. #552	C₂²	semidirect
84. #552	C₂²	semidirect
85. #552	C₂²	semidirect
86. #552	C₂²	semidirect
87. #552	C₂²	semidirect
88. #552	C₂²	semidirect
89. #552	C₂²	semidirect
90. #552	C₂²	semidirect
91. #552	C₂²	semidirect
92. #552	C₂²	semidirect
93. #552	C₂²	semidirect
94. #552	C₂²	semidirect
95. #551	C₂²	semidirect
96. #551	C₂²	semidirect
97. #551	C₂²	semidirect
98. #551	C₂²	semidirect
99. #551	C₂²	semidirect
100. #551	C₂²	semidirect
101. #551	C₂²	semidirect
102. #551	C₂²	semidirect
103. #551	C₂²	semidirect
104. #551	C₂²	semidirect
105. #551	C₂²	semidirect
106. #551	C₂²	semidirect
107. #551	C₂²	semidirect
108. #551	C₂²	semidirect
109. #550	C₂²	semidirect
110. D₄×Q₈	C₂²	semidirect
111. #548	C₂²	semidirect
112. #548	C₂²	semidirect
113. #548	C₂²	semidirect
114. #548	C₂²	semidirect
115. #547	C₂²	semidirect
116. #547	C₂²	semidirect
117. #547	C₂²	semidirect
118. #547	C₂²	semidirect
119. #546	C₂²	semidirect
120. #546	C₂²	semidirect
121. #546	C₂²	semidirect
122. #546	C₂²	semidirect
123. #546	C₂²	semidirect
124. #546	C₂²	semidirect
125. #546	C₂²	semidirect
126. #546	C₂²	semidirect
127. #546	C₂²	semidirect
128. #546	C₂²	semidirect
129. #546	C₂²	semidirect
130. D₄²	C₂²	semidirect
131. D₄²	C₂²	semidirect
132. #544	C₂²	semidirect
133. #544	C₂²	semidirect
134. #544	C₂²	semidirect
135. #543	C₂²	semidirect
136. #542	C₂²	semidirect
137. #542	C₂²	semidirect
138. #542	C₂²	semidirect
139. #542	C₂²	semidirect
140. #542	C₂²	semidirect
141. #542	C₂²	semidirect
142. #542	C₂²	semidirect
143. #542	C₂²	semidirect
144. #542	C₂²	semidirect
145. #542	C₂²	semidirect
146. #541	C₂²	semidirect
147. #541	C₂²	semidirect
148. #541	C₂²	semidirect
149. #541	C₂²	semidirect
150. #541	C₂²	semidirect
151. #540	C₂²	semidirect
152. #540	C₂²	semidirect
153. #540	C₂²	semidirect
154. #540	C₂²	semidirect
155. #540	C₂²	semidirect
157. #539	C₂²	semidirect
158. #539	C₂²	semidirect
159. #539	C₂²	semidirect
160. #539	C₂²	semidirect
161. #539	C₂²	semidirect
162. #539	C₂²	semidirect
163. #539	C₂²	semidirect
164. #539	C₂²	semidirect
165. #539	C₂²	semidirect
166. #539	C₂²	semidirect
167. #539	C₂²	semidirect
168. #538	C₂²	semidirect
169. #538	C₂²	semidirect
170. #538	C₂²	semidirect
171. #538	C₂²	semidirect
172. #538	C₂²	semidirect
173. #538	C₂²	semidirect
174. #538	C₂²	semidirect
175. #538	C₂²	semidirect
176. #538	C₂²	semidirect
177. #538	C₂²	semidirect
178. #537	C₂²	semidirect
179. #536	C₂²	semidirect
180. #536	C₂²	semidirect
181. #535	C₂²	semidirect
183. #534	C₂²	semidirect
184. #533	C₂²	semidirect
185. #533	C₂²	semidirect
186. #533	C₂²	semidirect
187. #533	C₂²	semidirect
189. #532	C₂²	semidirect
190. #532	C₂²	semidirect
191. #532	C₂²	semidirect
194. #529	C₂²	semidirect
195. #529	C₂²	semidirect
196. #529	C₂²	semidirect
197. #529	C₂²	semidirect
198. #529	C₂²	semidirect
199. #529	C₂²	semidirect
200. #529	C₂²	semidirect
201. #529	C₂²	semidirect
202. #529	C₂²	semidirect
203. #529	C₂²	semidirect
204. #529	C₂²	semidirect
205. #529	C₂²	semidirect
206. #529	C₂²	semidirect
207. #529	C₂²	semidirect
208. #529	C₂²	semidirect
209. #529	C₂²	semidirect
210. #529	C₂²	semidirect
211. #529	C₂²	semidirect
212. #529	C₂²	semidirect
213. #529	C₂²	semidirect
214. #529	C₂²	semidirect
215. #529	C₂²	semidirect
216. #529	C₂²	semidirect
217. #529	C₂²	semidirect
218. #529	C₂²	semidirect
219. #529	C₂²	semidirect
220. #529	C₂²	semidirect
221. #529	C₂²	semidirect
222. #529	C₂²	semidirect
223. #529	C₂²	semidirect
224. #529	C₂²	semidirect
225. C₂×#126	C₂²	semidirect
226. C₂×#126	C₂²	semidirect
227. C₂×#126	C₂²	semidirect
228. C₂×#125	C₂²	semidirect
229. C₂×#125	C₂²	semidirect
230. C₂×#124	C₂²	semidirect
231. C₂×#124	C₂²	semidirect
233. #525	C₂²	semidirect
234. #525	C₂²	semidirect
235. #525	C₂²	semidirect
236. #525	C₂²	semidirect
237. #525	C₂²	semidirect
238. C₂×#123	C₂²	semidirect
239. C₂×#123	C₂²	semidirect
240. C₂×#123	C₂²	semidirect
241. C₂×C₂²⋊Q₈	C₂²	semidirect
242. C₂×C₂²⋊Q₈	C₂²	semidirect
243. C₂×C₂²⋊Q₈	C₂²	semidirect
246. C₂×#121	C₂²	semidirect
247. #520	C₂²	semidirect
248. #520	C₂²	semidirect
249. #520	C₂²	semidirect
250. #520	C₂²	semidirect
251. #519	C₂²	semidirect
252. #518	C₂²	semidirect
253. #518	C₂²	semidirect
254. #518	C₂²	semidirect
255. C₄×#41	C₂²	semidirect
256. C₄×#41	C₂²	semidirect
257. C₄×#41	C₂²	semidirect
258. C₂×C₄×Q₈	C₂²	semidirect
259. C₂×C₄×Q₈	C₂²	semidirect
260. C₂×C₄×D₄	C₂²	semidirect
261. C₂×C₄×D₄	C₂²	semidirect
262. C₂×C₄×D₄	C₂²	semidirect
263. C₂×C₄×D₄	C₂²	semidirect
264. C₂×#117	C₂²	semidirect
265. C₂×#117	C₂²	semidirect
266. C₂²×C₄²	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#3568	2
#3567	2
#3566	2
#3565	2
#3563	2
#3562	2
#3561	2
#3559	2
#3558	2
#3553	2
#3545	2
#3535	2
#3534	2
#3524	2
#3521	2
#3520	2
#3519	2
#3516	2
#3513	2
#3507	2
#3505	2
#3495	2
#3494	2
#3493	2
#3491	2
#3444	2
C₂×#529	2