Subgroups — #30624426

Order 15616.

574 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21462203	C₂	1	2	yes	maximal, complemented
2	#21462199	C₂	1	2	yes	maximal, complemented
3	#21462199	C₂	1	2	yes	maximal, complemented
4	D₄×#11758187	C₂	1	2	yes	maximal, complemented
5	#21462184	C₂	1	2	yes	maximal, complemented
6	#21462049	C₂	1	2	yes	maximal, complemented
7	#21462046	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₂²⋊#11758187	C₂	1	1	yes	maximal, characteristic, complemented
9	#21454514	C₂	1	1	yes	maximal, characteristic
10	C₂×#14519851	C₂²	1	1	yes	characteristic
11	C₂×#14519851	C₂²	1	1	yes	characteristic
12	C₂×#14519851	C₂²	1	2	yes	complemented
13	C₂²×#11758187	C₂²	1	1	yes	characteristic
14	C₂²×#11758187	C₂²	1	1	yes	characteristic
15	C₂²×#11758187	C₂²	1	2	yes	complemented
16	C₄⋊#11758187	C₂²	1	2	yes	complemented
17	C₄⋊#11758187	C₂²	1	2	yes	complemented
18	C₂²⋊#11758187	C₂²	1	2	yes	—
19	C₂²⋊#11758187	C₂²	1	2	yes	—
20	C₂²⋊#11758187	C₂²	1	2	yes	—
21	C₂²⋊#11758187	C₂²	1	2	yes	—
22	C₂²⋊#11758187	C₂²	1	2	yes	complemented
23	C₂²⋊#11758187	C₂²	1	2	yes	complemented
24	#16840650	C₂²	1	2	yes	complemented
25	C₄×#11758187	C₂²	1	2	yes	complemented
26	C₂×#14519784	C₂²	1	1	yes	characteristic
27	C₂³×#92418	C₂²	1	1	yes	characteristic
28	#16839834	C₄	1	2	yes	—
29	#16839834	C₄	1	2	yes	—
30	D₄×#92418	C₂²	1	2	yes	—
31	D₄×#92418	C₂²	1	2	yes	—
32	#16839789	C₄	1	1	yes	characteristic
33	#16839729	C₄	1	1	yes	characteristic
34	#16839726	C₄	1	1	yes	characteristic
35	#16839718	C₂²	1	1	yes	characteristic
36	C₆₁×#525	C₄	1	1	yes	characteristic
37	#14519851	—	4	1	no	—
38	#14519851	—	4	1	no	—
39	#14519851	—	4	2	no	—
40	C₂×#11758187	—	4	1	no	—
41	C₂×#11758187	—	4	1	no	—
42	C₂×#11758187	—	4	2	no	—
43	C₂×#11758187	C₂³	1	2	yes	—
44	C₂×#11758187	C₂³	1	2	yes	—
45	C₂×#11758187	C₂³	1	2	yes	—
46	C₂×#11758187	C₂³	1	2	yes	—
47	#14519784	—	4	1	no	—
48	#14519784	—	4	1	no	—
49	C₂×#11758194	C₂×C₄	1	1	yes	characteristic
50	C₂×#11758194	C₂×C₄	1	1	yes	characteristic
51	C₂×#11758194	C₂×C₄	1	2	yes	—
52	C₂²×#92418	—	4	1	no	—
53	C₂²×#92418	—	4	1	no	—
54	C₂²×#92418	C₂×C₄	1	1	yes	characteristic
55	C₂²×#92418	C₂×C₄	1	1	yes	characteristic
56	C₂²×#92418	C₂×C₄	1	1	yes	characteristic
57	C₂²×#92418	C₂³	1	1	yes	characteristic
58	C₂²×#92418	C₂³	1	1	yes	characteristic
59	C₂²×#92418	C₂³	1	1	yes	characteristic
60	C₂²×#92418	C₂³	1	2	yes	—
61	C₄⋊#92418	C₂×C₄	1	2	yes	—
62	C₄⋊#92418	C₂×C₄	1	2	yes	—
63	C₂²⋊#92418	C₂×C₄	1	2	yes	—
64	C₂²⋊#92418	C₂×C₄	1	2	yes	—
65	C₂²⋊#92418	C₂×C₄	1	2	yes	—
66	C₂²⋊#92418	C₂×C₄	1	2	yes	—
67	#14519688	C₂×C₄	1	2	yes	—
68	C₄×#92418	C₂³	1	2	yes	—
69	C₂×#41×C₆₁	C₂×C₄	1	1	yes	characteristic
70	C₂³×C₄×C₆₁	C₂×C₄	1	1	yes	characteristic
71	#123×C₆₁	C₈	1	2	yes	—
72	C₂²⋊Q₈×C₆₁	C₈	1	1	yes	characteristic
73	C₂²⋊Q₈×C₆₁	C₈	1	1	yes	characteristic
74	#121×C₆₁	C₈	1	1	yes	characteristic
75	#121×C₆₁	C₈	1	1	yes	characteristic
76	#120×C₆₁	C₈	1	2	yes	—
77	C₄×D₄×C₆₁	C₂×C₄	1	2	yes	—
78	C₄×D₄×C₆₁	C₂×C₄	1	2	yes	—
79	#117×C₆₁	C₂×C₄	1	1	yes	characteristic
80	C₂⁴×C₆₁	C₂×C₈	1	1	yes	characteristic
81	#41×C₆₁	—	4	1	no	—
82	#41×C₆₁	—	4	1	no	—
83	C₂×Q₈×C₆₁	C₂×C₈	1	1	yes	characteristic
84	C₂×D₄×C₆₁	C₂×C₈	1	2	yes	—
85	C₂×D₄×C₆₁	C₂×C₈	1	2	yes	—
86	C₂×D₄×C₆₁	C₂×C₈	1	2	yes	—
87	C₂×D₄×C₆₁	C₂×C₈	1	1	yes	characteristic
88	C₂²×C₄×C₆₁	—	4	1	no	—
89	C₂²×C₄×C₆₁	—	4	1	no	—
90	C₂²×C₄×C₆₁	C₂×C₈	1	1	yes	characteristic
91	C₂²×C₄×C₆₁	C₂×C₈	1	1	yes	characteristic
92	C₂²×C₄×C₆₁	C₂×C₈	1	1	yes	characteristic
93	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
94	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
96	C₂²×C₄×C₆₁	C₂²×C₄	1	2	yes	—
97	C₄⋊C₄×C₆₁	C₂×C₈	1	1	yes	characteristic
98	C₄⋊C₄×C₆₁	C₂×C₈	1	1	yes	characteristic
99	C₄⋊C₄×C₆₁	C₂×C₈	1	2	yes	—
100	C₄⋊C₄×C₆₁	C₂×C₈	1	2	yes	—
101	C₂²⋊C₄×C₆₁	C₂×C₈	1	2	yes	—
102	C₂²⋊C₄×C₆₁	C₂×C₈	1	2	yes	—
103	C₂²⋊C₄×C₆₁	C₂×C₈	1	2	yes	—
104	C₂²⋊C₄×C₆₁	C₂×C₈	1	2	yes	—
105	C₂²⋊C₄×C₆₁	C₂×C₈	1	2	yes	—
106	C₄²×C₆₁	C₂²×C₄	1	2	yes	—
107	#11758194	—	4	1	no	—
108	#11758194	—	4	2	no	—
109	#11758194	—	4	1	no	—
110	C₂×#92418	—	2	1	no	—
111	C₂×#92418	—	2	1	no	—
112	C₂×#92418	—	2	2	no	—
113	C₂×#92418	—	2	1	no	—
114	C₂×#92418	—	2	1	no	—
115	C₂×#92418	—	2	2	no	—
116	C₂×#92418	—	2	1	no	—
117	C₂×#92418	—	2	1	no	—
118	C₂×#92418	—	4	1	no	—
119	C₂×#92418	—	4	1	no	—
120	C₂×#92418	—	4	1	no	—
121	C₂×#92418	C₂²×C₄	1	2	yes	—
122	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
123	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
124	C₂×#92418	C₂²×C₄	1	1	yes	characteristic
125	C₂×#92418	C₂²×C₄	1	2	yes	—
126	C₂×#92418	C₂⁴	1	1	yes	characteristic
127	#11758187	—	2	2	no	—
128	#11758187	—	2	2	no	—
129	#11758187	—	2	2	no	—
130	#11758187	—	2	2	no	—
131	C₂³×C₆₁	—	2	2	no	—
132	C₂³×C₆₁	—	4	1	no	—
133	C₂³×C₆₁	—	4	1	no	—
134	C₂³×C₆₁	C₂²×C₈	1	1	yes	characteristic
135	C₂³×C₆₁	C₂²×C₈	1	1	yes	characteristic
136	C₂³×C₆₁	C₂²×C₈	1	2	yes	—
137	C₂³×C₆₁	C₂²×C₈	1	1	yes	characteristic
138	Q₈×C₆₁	—	4	1	no	—
139	D₄×C₆₁	—	2	4	no	—
140	D₄×C₆₁	—	4	2	no	—
141	D₄×C₆₁	—	4	1	no	—
142	D₄×C₆₁	—	4	2	no	—
143	C₂×C₄×C₆₁	—	2	1	no	—
144	C₂×C₄×C₆₁	—	2	1	no	—
145	C₂×C₄×C₆₁	—	2	1	no	—
146	C₂×C₄×C₆₁	—	2	2	no	—
147	C₂×C₄×C₆₁	—	2	1	no	—
148	C₂×C₄×C₆₁	—	2	1	no	—
149	C₂×C₄×C₆₁	—	2	1	no	—
150	C₂×C₄×C₆₁	—	2	2	no	—
151	C₂×C₄×C₆₁	—	4	1	no	—
152	C₂×C₄×C₆₁	—	4	1	no	—
153	C₂×C₄×C₆₁	—	4	1	no	—
154	C₂×C₄×C₆₁	C₂²×C₈	1	2	yes	—
155	C₂×C₄×C₆₁	C₂²×C₈	1	2	yes	—
156	C₂×C₄×C₆₁	C₂²×C₈	1	1	yes	characteristic
157	C₂×C₄×C₆₁	C₂²×C₈	1	1	yes	characteristic
158	C₂×C₄×C₆₁	C₂²×C₈	1	2	yes	—
159	C₂×C₄×C₆₁	C₂²×C₈	1	1	yes	characteristic
160	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
161	#92418	—	2	1	no	—
162	#92418	—	2	1	no	—
163	#92418	—	2	1	no	—
164	#92418	—	2	2	no	—
165	#92418	—	2	2	no	—
166	#92418	H(5,𝔽₂)	1	1	yes	characteristic
167	#92418	H(5,𝔽₂)	1	1	yes	characteristic
168	#33490	—	61	1	no	maximal, Sylow
169	C₂²×C₆₁	—	2	1	no	—
170	C₂²×C₆₁	—	2	1	no	—
171	C₂²×C₆₁	—	2	2	no	—
172	C₂²×C₆₁	—	2	1	no	—
173	C₂²×C₆₁	—	2	1	no	—
174	C₂²×C₆₁	—	2	1	no	—
175	C₂²×C₆₁	—	2	2	no	—
176	C₂²×C₆₁	—	2	1	no	—
177	C₂²×C₆₁	—	2	1	no	—
178	C₂²×C₆₁	—	2	1	no	—
179	C₂²×C₆₁	—	2	2	no	—
180	C₂²×C₆₁	—	4	4	no	—
181	C₂²×C₆₁	#504	1	2	yes	—
182	C₂²×C₆₁	C₂³×C₈	1	1	yes	characteristic
183	C₄×C₆₁	—	2	2	no	—
184	C₄×C₆₁	—	2	2	no	—
185	C₄×C₆₁	—	2	1	no	—
186	C₄×C₆₁	—	2	1	no	—
187	C₄×C₆₁	—	2	1	no	—
188	C₄×C₆₁	—	2	2	no	—
189	C₄×C₆₁	#518	1	1	yes	characteristic
190	C₄×C₆₁	#568	1	1	yes	characteristic
191	#2929	—	61	1	no	—
192	#2169	—	61	2	no	—
193	#2168	—	61	2	no	—
194	#2168	—	61	2	no	—
195	D₄×C₁₆	—	61	2	no	—
196	#2164	—	61	2	no	—
197	#2113	—	61	2	no	—
198	#2112	—	61	1	no	—
199	C₂×C₂²⋊C₁₆	—	61	1	no	—
200	C₂×C₆₁	—	2	2	no	—
201	C₂×C₆₁	—	4	2	no	—
202	C₂×C₆₁	—	4	1	no	—
203	C₂×C₆₁	—	4	1	no	—
204	C₂×C₆₁	#2972	1	1	yes	characteristic
205	C₂×C₆₁	C₂×#504	1	1	yes	characteristic
206	C₂×C₆₁	#3407	1	1	yes	characteristic
207	C₂×#131	—	61	1	no	—
208	C₂³×C₈	—	61	1	no	—
209	#525	#6923	1	1	yes	characteristic
210	C₂×M₃₂	—	61	1	no	—
211	C₂×M₃₂	—	61	1	no	—
212	C₂×M₃₂	—	61	2	no	—
213	C₂²×C₁₆	—	61	1	no	—
214	C₂²×C₁₆	—	61	1	no	—
215	C₂²×C₁₆	—	61	2	no	—
216	#435	—	61	2	no	—
217	#435	—	61	2	no	—
218	C₈×D₄	—	61	2	no	—
219	C₈×D₄	—	61	2	no	—
220	#424	—	61	1	no	—
221	#408	—	61	1	no	—
222	#407	—	61	1	no	—
223	#405	—	61	1	no	—
224	C₄⋊C₁₆	—	61	2	no	—
225	C₄⋊C₁₆	—	61	2	no	—
226	C₂²⋊C₁₆	—	61	2	no	—
227	C₂²⋊C₁₆	—	61	2	no	—
228	C₂²⋊C₁₆	—	61	2	no	—
229	C₂²⋊C₁₆	—	61	2	no	—
230	C₂²⋊C₁₆	—	61	2	no	—
231	C₂²⋊C₁₆	—	61	2	no	—
232	#346	—	61	2	no	—
233	C₄×C₁₆	—	61	2	no	—
234	C₆₁	#33490	1	1	yes	characteristic, complemented, Sylow
235	C₂×#41	C₂×#6923	1	1	yes	characteristic
236	C₂³×C₄	C₂×#6923	1	1	yes	characteristic
237	#131	—	244	1	no	—
238	#131	—	244	1	no	—
239	C₂×M₁₆	—	61	1	no	—
240	C₂×M₁₆	—	61	2	no	—
241	C₂×M₁₆	—	61	1	no	—
242	C₂²×C₈	—	61	1	no	—
243	C₂²×C₈	—	61	1	no	—
244	C₂²×C₈	—	61	1	no	—
245	C₂²×C₈	—	61	2	no	—
246	C₂²×C₈	—	61	1	no	—
247	C₂²×C₈	—	61	1	no	—
248	C₂²×C₈	—	61	1	no	—
249	C₂²×C₈	—	244	1	no	—
250	C₂²×C₈	—	244	1	no	—
251	#123	#92420	1	2	yes	—
252	C₂²⋊Q₈	#92420	1	1	yes	characteristic
253	C₂²⋊Q₈	#92420	1	1	yes	characteristic
254	#121	#92420	1	1	yes	characteristic
255	#121	#92420	1	1	yes	characteristic
256	#120	#92420	1	2	yes	—
257	C₄×D₄	C₂×#6923	1	2	yes	—
258	C₄×D₄	C₂×#6923	1	2	yes	—
259	#117	C₂×#6923	1	1	yes	characteristic
260	M₃₂	—	244	1	no	—
261	M₃₂	—	244	2	no	—
262	M₃₂	—	244	1	no	—
263	C₂×C₁₆	—	61	2	no	—
264	C₂×C₁₆	—	61	2	no	—
265	C₂×C₁₆	—	61	2	no	—
266	C₂×C₁₆	—	61	2	no	—
267	C₂×C₁₆	—	244	1	no	—
268	C₂×C₁₆	—	244	2	no	—
269	C₂×C₁₆	—	244	1	no	—
270	C₄⋊C₈	—	61	2	no	—
271	C₄⋊C₈	—	61	2	no	—
272	C₂²⋊C₈	—	61	2	no	—
273	C₂²⋊C₈	—	61	2	no	—
274	C₂²⋊C₈	—	61	2	no	—
275	C₂²⋊C₈	—	61	2	no	—
276	#97	—	61	2	no	—
277	C₄×C₈	—	61	2	no	—
278	C₂⁴	C₂×#92420	1	1	yes	characteristic
279	#41	—	4	1	no	—
280	#41	—	4	1	no	—
281	C₂×Q₈	C₂×#92420	1	1	yes	characteristic
282	C₂×D₄	C₂×#92420	1	2	yes	—
283	C₂×D₄	C₂×#92420	1	2	yes	—
284	C₂×D₄	C₂×#92420	1	2	yes	—
285	C₂×D₄	C₂×#92420	1	1	yes	characteristic
286	C₂²×C₄	—	4	1	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	C₂×#92420	1	1	yes	characteristic
289	C₂²×C₄	C₂×#92420	1	1	yes	characteristic
290	C₂²×C₄	C₂×#92420	1	1	yes	characteristic
291	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
292	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
293	C₂²×C₄	C₂²×#6923	1	2	yes	—
294	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
295	M₁₆	—	244	1	no	—
296	M₁₆	—	244	2	no	—
297	M₁₆	—	244	1	no	—
298	C₂×C₈	—	61	1	no	—
299	C₂×C₈	—	61	2	no	—
300	C₂×C₈	—	61	1	no	—
301	C₂×C₈	—	61	1	no	—
302	C₂×C₈	—	61	1	no	—
303	C₂×C₈	—	61	2	no	—
304	C₂×C₈	—	122	1	no	—
305	C₂×C₈	—	122	1	no	—
306	C₂×C₈	—	122	2	no	—
307	C₂×C₈	—	122	1	no	—
308	C₂×C₈	—	122	1	no	—
309	C₂×C₈	—	122	2	no	—
310	C₂×C₈	—	122	1	no	—
311	C₂×C₈	—	122	1	no	—
312	C₂×C₈	—	244	1	no	—
313	C₂×C₈	—	244	1	no	—
314	C₂×C₈	—	244	1	no	—
315	C₄⋊C₄	C₂×#92420	1	1	yes	characteristic
316	C₄⋊C₄	C₂×#92420	1	1	yes	characteristic
317	C₄⋊C₄	C₂×#92420	1	2	yes	—
318	C₄⋊C₄	C₂×#92420	1	2	yes	—
319	C₂²⋊C₄	C₂×#92420	1	2	yes	—
320	C₂²⋊C₄	C₂×#92420	1	2	yes	—
321	C₂²⋊C₄	C₂×#92420	1	2	yes	—
322	C₂²⋊C₄	C₂×#92420	1	2	yes	—
323	C₂²⋊C₄	C₂×#92420	1	2	yes	—
324	C₄²	C₂²×#6923	1	2	yes	—
325	C₁₆	—	122	2	no	—
326	C₁₆	—	122	2	no	—
327	C₁₆	—	122	2	no	—
328	C₁₆	—	122	2	no	—
329	C₂³	—	2	2	no	—
330	C₂³	—	4	1	no	—
331	C₂³	—	4	1	no	—
332	C₂³	C₂²×#92420	1	1	yes	characteristic
333	C₂³	C₂²×#92420	1	1	yes	characteristic
334	C₂³	C₂²×#92420	1	2	yes	—
335	C₂³	C₂²×#92420	1	1	yes	characteristic
336	Q₈	—	4	1	no	—
337	D₄	—	2	4	no	—
338	D₄	—	4	2	no	—
339	D₄	—	4	1	no	—
340	D₄	—	4	2	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	2	1	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	1	no	—
352	C₂×C₄	C₂²×#92420	1	2	yes	—
353	C₂×C₄	C₂²×#92420	1	2	yes	—
354	C₂×C₄	C₂²×#92420	1	1	yes	characteristic
355	C₂×C₄	C₂²×#92420	1	1	yes	characteristic
356	C₂×C₄	C₂²×#92420	1	2	yes	—
357	C₂×C₄	C₂²×#92420	1	1	yes	characteristic
358	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
359	C₈	—	61	1	no	—
360	C₈	—	61	1	no	—
361	C₈	—	122	1	no	—
362	C₈	—	122	1	no	—
363	C₈	—	122	1	no	—
364	C₈	—	122	2	no	—
365	C₈	—	122	2	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	2	2	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	2	no	—
374	C₂²	—	2	2	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	2	1	no	—
377	C₂²	—	4	4	no	—
378	C₂²	#16840820	1	2	yes	—
379	C₂²	C₂³×#92420	1	1	yes	characteristic
380	C₄	—	2	2	no	—
381	C₄	—	2	1	no	—
382	C₄	—	2	1	no	—
383	C₄	—	2	1	no	—
384	C₄	—	2	2	no	—
385	C₄	—	2	2	no	—
386	C₄	#16840829	1	1	yes	characteristic
387	C₄	#16840840	1	1	yes	characteristic
388	C₂	—	2	2	no	—
389	C₂	—	4	1	no	—
390	C₂	—	4	1	no	—
391	C₂	—	4	2	no	—
392	C₂	#21462666	1	1	yes	characteristic
393	C₂	C₂×#16840820	1	1	yes	characteristic
394	C₂	#21462786	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×#6923
commutator, socle	C₂²×C₆₁	C₂³×C₈
Fitting, prime radical	C₆₁×#525	C₄
cosocle	C₂×#92418	C₂⁴
hypercenter	#525	#6923
hypocenter	C₆₁	#33490
LCS	G ▷ C₂²×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂×C₄ ◁ #525

Complements

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

N	H ≅ G/N	type
1. #21462203	C₂	semidirect
2. #21462199	C₂	semidirect
3. #21462199	C₂	semidirect
4. D₄×#11758187	C₂	semidirect
5. #21462184	C₂	semidirect
6. #21462049	C₂	semidirect
7. #21462046	C₂	semidirect
8. C₂×C₂²⋊#11758187	C₂	semidirect
12. C₂×#14519851	C₂²	semidirect
15. C₂²×#11758187	C₂²	semidirect
16. C₄⋊#11758187	C₂²	semidirect
17. C₄⋊#11758187	C₂²	semidirect
22. C₂²⋊#11758187	C₂²	semidirect
23. C₂²⋊#11758187	C₂²	semidirect
24. #16840650	C₂²	semidirect
25. C₄×#11758187	C₂²	semidirect
234. C₆₁	#33490	semidirect

Maximal subgroups

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

subgroup	index
#21462203	2
#21462199	2
D₄×#11758187	2
#21462184	2
#21462049	2
#21462046	2
C₂×C₂²⋊#11758187	2
#21454514	2
#33490	61