Subgroups — #59934

Order 256.

752 conjugacy classes of subgroups.

The subgroup lattice has 428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2791	C₂	1	2	yes	maximal
2	#2774	C₂	1	2	yes	maximal
3	#2612	C₂	1	2	yes	maximal
4	#2590	C₂	1	2	yes	maximal
5	#2585	C₂	1	2	yes	maximal
6	#2520	C₂	1	2	yes	maximal
7	#2511	C₂	1	1	yes	maximal, characteristic
8	#2511	C₂	1	1	yes	maximal, characteristic
9	#2511	C₂	1	2	yes	maximal
10	#2507	C₂	1	1	yes	maximal, characteristic
11	#2507	C₂	1	1	yes	maximal, characteristic
12	#2451	C₂	1	1	yes	maximal, characteristic
13	#2451	C₂	1	1	yes	maximal, characteristic
14	#2446	C₂	1	1	yes	maximal, characteristic
15	#2446	C₂	1	1	yes	maximal, characteristic
16	#2371	C₂	1	2	yes	maximal
17	#2369	C₂	1	1	yes	maximal, characteristic
18	#2365	C₂	1	1	yes	maximal, characteristic
19	#2355	C₂	1	1	yes	maximal, characteristic
20	Q₈×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
21	C₄×#125	C₂	1	1	yes	maximal, characteristic
22	#2295	C₂	1	1	yes	maximal, characteristic
23	#2295	C₂	1	1	yes	maximal, characteristic
24	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×#125	C₂²	1	1	yes	characteristic
27	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
30	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic
31	#400	C₂²	1	2	yes	—
32	#400	C₂²	1	2	yes	—
33	#400	C₂²	1	2	yes	—
34	#400	C₂²	1	2	yes	—
35	#400	C₂²	1	2	yes	—
36	#400	C₂²	1	2	yes	—
37	#398	C₂²	1	2	yes	—
38	#398	C₂²	1	2	yes	—
39	#398	C₂²	1	2	yes	—
40	#398	C₂²	1	2	yes	—
41	#398	C₂²	1	2	yes	—
42	#398	C₂²	1	2	yes	—
43	#398	C₂²	1	2	yes	—
44	#398	C₂²	1	2	yes	—
45	#395	C₂²	1	2	yes	—
46	#395	C₂²	1	2	yes	—
47	#391	C₂²	1	1	yes	characteristic
48	#391	C₂²	1	1	yes	characteristic
49	#391	C₂²	1	2	yes	—
50	#391	C₂²	1	2	yes	—
51	#391	C₂²	1	1	yes	characteristic
52	#391	C₂²	1	2	yes	—
53	#391	C₂²	1	1	yes	characteristic
54	#391	C₂²	1	1	yes	characteristic
55	#391	C₂²	1	1	yes	characteristic
56	#391	C₂²	1	1	yes	characteristic
57	#391	C₂²	1	1	yes	characteristic
58	#391	C₂²	1	2	yes	—
59	#389	C₂²	1	1	yes	characteristic
60	#389	C₂²	1	1	yes	characteristic
61	#389	C₂²	1	2	yes	—
62	#389	C₂²	1	2	yes	—
63	#389	C₂²	1	2	yes	—
64	#389	C₂²	1	2	yes	—
65	#389	C₂²	1	2	yes	—
66	#389	C₂²	1	2	yes	—
67	#389	C₂²	1	1	yes	characteristic
68	#389	C₂²	1	1	yes	characteristic
69	#389	C₂²	1	1	yes	characteristic
70	#389	C₂²	1	1	yes	characteristic
71	#389	C₂²	1	1	yes	characteristic
72	#389	C₂²	1	1	yes	characteristic
73	#389	C₂²	1	1	yes	characteristic
74	#389	C₂²	1	1	yes	characteristic
75	#387	C₂²	1	1	yes	characteristic
76	#387	C₂²	1	1	yes	characteristic
77	#387	C₂²	1	1	yes	characteristic
78	#387	C₂²	1	1	yes	characteristic
79	#387	C₂²	1	2	yes	—
80	#387	C₂²	1	2	yes	—
81	#387	C₂²	1	2	yes	—
82	#387	C₂²	1	2	yes	—
83	#387	C₂²	1	2	yes	—
84	#387	C₂²	1	2	yes	—
85	#387	C₂²	1	2	yes	—
86	#387	C₂²	1	2	yes	—
87	#387	C₂²	1	2	yes	—
88	#387	C₂²	1	2	yes	—
89	#387	C₂²	1	2	yes	—
90	#387	C₂²	1	2	yes	—
91	#387	C₂²	1	2	yes	—
92	#387	C₂²	1	2	yes	—
93	#387	C₂²	1	2	yes	—
94	#387	C₂²	1	2	yes	—
95	#387	C₂²	1	2	yes	—
96	#387	C₂²	1	2	yes	—
97	#387	C₂²	1	2	yes	—
98	#387	C₂²	1	2	yes	—
99	#384	C₂²	1	1	yes	characteristic
100	#384	C₂²	1	2	yes	—
101	#384	C₂²	1	1	yes	characteristic
102	#382	C₂²	1	1	yes	characteristic
103	#382	C₂²	1	2	yes	—
104	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₄⋊C₄	C₂²	1	2	yes	—
112	C₄×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₄⋊C₄	C₂²	1	2	yes	—
114	C₄×C₄⋊C₄	C₂²	1	2	yes	—
115	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄	C₂²	1	2	yes	—
119	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
120	#376	C₂²	1	2	yes	—
121	#376	C₂²	1	2	yes	—
122	C₄³	C₂²	1	1	yes	characteristic
123	C₂²×Q₈	C₂³	1	1	yes	characteristic
124	C₂²×Q₈	C₂³	1	1	yes	characteristic
125	C₂²×Q₈	C₂³	1	2	yes	—
126	C₄⋊Q₈	—	2	4	no	—
127	C₄⋊Q₈	—	2	4	no	—
128	#125	Q₈	1	8	yes	complemented
129	C₄×Q₈	—	2	4	no	—
130	C₄×Q₈	—	2	4	no	—
131	C₄×Q₈	—	2	4	no	—
132	C₄×Q₈	—	2	4	no	—
133	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
134	C₂×C₄⋊C₄	C₂³	1	2	yes	—
135	C₂×C₄⋊C₄	C₂³	1	2	yes	—
136	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
137	C₂×C₄⋊C₄	C₂³	1	2	yes	—
138	C₂×C₄⋊C₄	C₂³	1	2	yes	—
139	C₂×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₄⋊C₄	C₂³	1	2	yes	—
141	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
142	C₂×C₄⋊C₄	C₂³	1	2	yes	—
143	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
144	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
145	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
146	C₂×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₄⋊C₄	C₂³	1	2	yes	—
152	C₂×C₄⋊C₄	C₂³	1	2	yes	—
153	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
154	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
155	C₂×C₄⋊C₄	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₄²	C₂³	1	1	yes	characteristic
171	C₂×C₄²	C₂³	1	1	yes	characteristic
172	C₂×C₄²	C₂³	1	2	yes	—
173	C₂×C₄²	C₂³	1	2	yes	—
174	C₂×C₄²	C₂³	1	1	yes	characteristic
175	C₂×C₄²	C₂³	1	1	yes	characteristic
176	C₂×C₄²	C₂³	1	2	yes	—
177	C₂×C₄²	C₂³	1	2	yes	—
178	C₂×C₄²	C₂³	1	1	yes	characteristic
179	C₂×C₄²	C₂³	1	1	yes	characteristic
180	C₂×C₄²	C₂³	1	1	yes	characteristic
181	C₂×C₄²	C₂³	1	1	yes	characteristic
182	C₂×C₄²	C₂³	1	1	yes	characteristic
183	C₂×C₄²	C₂³	1	1	yes	characteristic
184	C₂×C₄²	C₂³	1	2	yes	—
185	C₂×C₄²	C₂³	1	2	yes	—
186	C₂×C₄²	C₂³	1	2	yes	—
187	C₂×C₄²	C₂³	1	2	yes	—
188	C₂×C₄²	C₂³	1	1	yes	characteristic
189	#95	C₂³	1	2	yes	—
190	#95	C₂³	1	2	yes	—
191	#95	C₂³	1	2	yes	—
192	#95	C₂³	1	2	yes	—
193	#95	C₂³	1	2	yes	—
194	#95	C₂³	1	2	yes	—
195	#95	C₂³	1	2	yes	—
196	#95	C₂³	1	2	yes	—
197	#95	C₂³	1	1	yes	characteristic
198	#95	C₂³	1	1	yes	characteristic
199	#95	C₂³	1	2	yes	—
200	#95	C₂³	1	1	yes	characteristic
201	#95	C₂³	1	1	yes	characteristic
202	#95	C₂³	1	2	yes	—
203	#95	C₂³	1	2	yes	—
204	#95	C₂³	1	1	yes	characteristic
205	#95	C₂³	1	1	yes	characteristic
206	#95	C₂³	1	1	yes	characteristic
207	#95	C₂³	1	1	yes	characteristic
208	#95	C₂³	1	2	yes	—
209	#95	C₂³	1	2	yes	—
210	#95	C₂³	1	2	yes	—
211	#95	C₂³	1	2	yes	—
212	#95	C₂³	1	1	yes	characteristic
213	#95	C₂³	1	2	yes	—
214	#95	C₂³	1	2	yes	—
215	#95	C₂³	1	2	yes	—
216	#95	C₂³	1	2	yes	—
217	#95	C₂³	1	1	yes	characteristic
218	#95	C₂³	1	1	yes	characteristic
219	#95	C₂³	1	1	yes	characteristic
220	#95	C₂³	1	2	yes	—
221	#95	C₂³	1	2	yes	—
222	#95	C₂³	1	2	yes	—
223	#95	C₂³	1	2	yes	—
224	#95	C₂³	1	2	yes	—
225	#95	C₂³	1	2	yes	—
226	#95	C₂³	1	2	yes	—
227	#95	C₂³	1	2	yes	—
228	#95	C₂³	1	2	yes	—
229	C₂×Q₈	—	2	2	no	—
230	C₂×Q₈	—	2	2	no	—
231	C₂×Q₈	—	2	2	no	—
232	C₂×Q₈	—	2	4	no	—
233	C₂×Q₈	—	2	2	no	—
234	C₂×Q₈	—	2	2	no	—
235	C₂×Q₈	—	4	2	no	—
236	C₂×Q₈	—	4	2	no	—
237	C₂×Q₈	#41	1	4	yes	—
238	C₂²×C₄	C₂⁴	1	2	yes	—
239	C₂²×C₄	C₂⁴	1	1	yes	characteristic
240	C₂²×C₄	C₂⁴	1	1	yes	characteristic
241	C₂²×C₄	C₂⁴	1	2	yes	—
242	C₂²×C₄	C₂⁴	1	2	yes	—
243	C₂²×C₄	C₂⁴	1	2	yes	—
244	C₂²×C₄	C₂⁴	1	2	yes	—
245	C₂²×C₄	C₂⁴	1	1	yes	characteristic
246	C₂²×C₄	C₂⁴	1	1	yes	characteristic
247	C₂²×C₄	C₂⁴	1	2	yes	—
248	C₂²×C₄	C₂⁴	1	1	yes	characteristic
249	C₂²×C₄	C₂⁴	1	1	yes	characteristic
250	C₂²×C₄	C₂⁴	1	1	yes	characteristic
251	C₂²×C₄	C₂⁴	1	1	yes	characteristic
252	C₂²×C₄	C₂⁴	1	1	yes	characteristic
253	C₂²×C₄	C₂⁴	1	1	yes	characteristic
254	C₂²×C₄	C₂⁴	1	1	yes	characteristic
255	C₂²×C₄	C₂⁴	1	1	yes	characteristic
256	C₂²×C₄	C₂⁴	1	1	yes	characteristic
257	C₂²×C₄	C₂⁴	1	1	yes	characteristic
258	C₂²×C₄	C₂⁴	1	2	yes	—
259	C₂²×C₄	C₂⁴	1	2	yes	—
260	C₂²×C₄	C₂⁴	1	1	yes	characteristic
261	C₄⋊C₄	—	2	4	no	—
262	C₄⋊C₄	—	2	4	no	—
263	C₄⋊C₄	—	2	4	no	—
264	C₄⋊C₄	—	2	2	no	—
265	C₄⋊C₄	—	2	2	no	—
266	C₄⋊C₄	—	2	4	no	—
267	C₄⋊C₄	—	2	4	no	—
268	C₄⋊C₄	—	2	4	no	—
269	C₄⋊C₄	—	2	4	no	—
270	C₄⋊C₄	—	2	2	no	—
271	C₄⋊C₄	—	2	2	no	—
272	C₄⋊C₄	—	2	2	no	—
273	C₄⋊C₄	—	4	1	no	—
274	C₄⋊C₄	—	4	1	no	—
275	C₄⋊C₄	—	4	1	no	—
276	C₄⋊C₄	—	4	1	no	—
277	C₄⋊C₄	—	4	2	no	—
278	C₄⋊C₄	—	4	2	no	—
279	C₄⋊C₄	—	4	2	no	—
280	C₄⋊C₄	—	4	1	no	—
281	C₄⋊C₄	—	4	1	no	—
282	C₄⋊C₄	—	4	2	no	—
283	C₄⋊C₄	—	4	2	no	—
284	C₄⋊C₄	—	4	2	no	—
285	C₄⋊C₄	—	4	2	no	—
286	C₄⋊C₄	—	4	2	no	—
287	C₄⋊C₄	—	4	2	no	—
288	C₄⋊C₄	—	4	2	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄⋊C₄	—	4	2	no	—
291	C₄⋊C₄	C₂×Q₈	1	4	yes	—
292	C₄⋊C₄	C₂×Q₈	1	4	yes	—
293	C₄⋊C₄	C₂×Q₈	1	4	yes	—
294	C₄⋊C₄	C₂×Q₈	1	4	yes	—
295	C₄⋊C₄	C₂×Q₈	1	4	yes	—
296	C₄⋊C₄	C₂×Q₈	1	4	yes	—
297	C₄⋊C₄	#41	1	4	yes	—
298	C₄²	—	2	4	no	—
299	C₄²	—	2	4	no	—
300	C₄²	—	2	4	no	—
301	C₄²	—	2	2	no	—
302	C₄²	—	2	2	no	—
303	C₄²	—	2	2	no	—
304	C₄²	—	2	2	no	—
305	C₄²	—	2	4	no	—
306	C₄²	—	2	2	no	—
307	C₄²	—	2	2	no	—
308	C₄²	—	2	2	no	—
309	C₄²	—	4	2	no	—
310	C₄²	—	4	2	no	—
311	C₄²	—	4	1	no	—
312	C₄²	—	4	1	no	—
313	C₄²	—	4	2	no	—
314	C₄²	—	4	2	no	—
315	C₄²	—	4	1	no	—
316	C₄²	C₂×Q₈	1	4	yes	—
317	C₂³	C₂⁵	1	1	yes	characteristic
318	Q₈	—	2	8	no	—
319	Q₈	—	4	4	no	—
320	Q₈	—	8	4	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	2	1	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	2	1	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	2	2	no	—
353	C₂×C₄	—	2	2	no	—
354	C₂×C₄	—	2	2	no	—
355	C₂×C₄	—	2	2	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	1	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	2	1	no	—
361	C₂×C₄	—	2	1	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	2	2	no	—
364	C₂×C₄	—	2	2	no	—
365	C₂×C₄	—	2	1	no	—
366	C₂×C₄	—	2	1	no	—
367	C₂×C₄	—	2	1	no	—
368	C₂×C₄	—	2	2	no	—
369	C₂×C₄	—	2	1	no	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	2	1	no	—
372	C₂×C₄	—	2	1	no	—
373	C₂×C₄	—	2	2	no	—
374	C₂×C₄	—	2	2	no	—
375	C₂×C₄	—	2	2	no	—
376	C₂×C₄	—	2	1	no	—
377	C₂×C₄	—	2	1	no	—
378	C₂×C₄	C₂²×Q₈	1	2	yes	—
379	C₂×C₄	C₂²×Q₈	1	2	yes	—
380	C₂×C₄	C₂²×Q₈	1	2	yes	—
381	C₂×C₄	C₂²×Q₈	1	2	yes	—
382	C₂×C₄	C₂²×Q₈	1	2	yes	—
383	C₂×C₄	C₂²×Q₈	1	2	yes	—
384	C₂×C₄	C₂²×Q₈	1	2	yes	—
385	C₂×C₄	C₂×#41	1	4	yes	—
386	C₂×C₄	C₂×#41	1	4	yes	—
387	C₂×C₄	C₂×#41	1	2	yes	—
388	C₂×C₄	C₂×#41	1	2	yes	—
389	C₂×C₄	2₋¹⁺⁴	1	2	yes	—
390	C₂²	C₂³×Q₈	1	1	yes	characteristic
391	C₂²	C₂²×#41	1	1	yes	characteristic
392	C₂²	C₂²×#41	1	1	yes	characteristic
393	C₂²	C₂×2₋¹⁺⁴	1	1	yes	characteristic
394	C₂²	#585	1	1	yes	characteristic
395	C₂²	#585	1	1	yes	characteristic
396	C₂²	#585	1	1	yes	characteristic
397	C₄	—	2	4	no	—
398	C₄	—	2	2	no	—
399	C₄	—	2	2	no	—
400	C₄	—	2	2	no	—
401	C₄	—	2	2	no	—
402	C₄	—	2	2	no	—
403	C₄	—	2	2	no	—
404	C₄	—	2	2	no	—
405	C₄	—	2	4	no	—
406	C₄	—	4	2	no	—
407	C₄	—	4	1	no	—
408	C₄	—	4	1	no	—
409	C₄	—	4	2	no	—
410	C₄	—	4	1	no	—
411	C₄	—	4	2	no	—
412	C₄	—	4	1	no	—
413	C₄	—	4	2	no	—
414	C₄	—	4	1	no	—
415	C₄	—	4	1	no	—
416	C₄	—	4	1	no	—
417	C₄	—	4	2	no	—
418	C₄	—	4	2	no	—
419	C₄	#552	1	4	yes	—
420	C₂	C₂×#552	1	1	yes	characteristic
421	C₂	Q₈×#41	1	1	yes	characteristic
422	C₂	Q₈×#41	1	1	yes	characteristic
423	C₂	#3502	1	1	yes	characteristic
424	C₂	#3521	1	1	yes	characteristic
425	C₂	#3524	1	1	yes	characteristic
426	C₂	#3557	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, prime radical, cosocle	C₂³	C₂⁵
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
128. #125	Q₈	semidirect

Maximal subgroups

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

subgroup	index
#2791	2
#2774	2
#2612	2
#2590	2
#2585	2
#2520	2
#2511	2
#2507	2
#2451	2
#2446	2
#2371	2
#2369	2
#2365	2
#2355	2
Q₈×C₄⋊C₄	2
C₄×#125	2
#2295	2