Subgroups — #13061643

Order 1344.

668 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#66728	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×D₈₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₄×C₇×D₄	C₂	1	1	yes	maximal, characteristic, complemented
4	#10621420	C₂	1	2	yes	maximal, complemented
5	#10621413	C₂	1	1	yes	maximal, characteristic, complemented
6	#10621407	C₂	1	1	yes	maximal, characteristic, complemented
7	#10621377	C₂	1	2	yes	maximal, complemented
8	#10621367	C₂	1	2	yes	maximal, complemented
9	C₂²⋊C₄×D₂₁	C₂	1	2	yes	maximal, complemented
10	#10621358	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×D₈₄	C₂	1	1	yes	maximal, characteristic, complemented
12	#90241	—	3	1	no	maximal, Hall
13	C₂³×D₂₁	C₂²	1	2	yes	—
14	C₂×C₃×C₇×D₄	C₂²	1	1	yes	characteristic
15	C₂²×C₃×C₄×C₇	C₂²	1	1	yes	characteristic
16	C₂²×C₃×C₄×C₇	C₂²	1	1	yes	characteristic, complemented
17	C₂×#4268	C₂²	1	2	yes	complemented
18	C₂×#4268	C₂²	1	2	yes	complemented
19	#66728	—	2	4	no	—
20	C₂×D₈₄	—	2	4	no	—
21	C₂×D₈₄	C₂²	1	1	yes	characteristic
22	C₂×D₈₄	C₂²	1	2	yes	—
23	C₂×D₈₄	C₂²	1	1	yes	characteristic
24	C₂×C₄×D₂₁	C₂²	1	2	yes	complemented
25	C₂×C₄×D₂₁	C₂²	1	2	yes	complemented
26	C₂×Dic₄₂	C₂²	1	1	yes	characteristic, complemented
27	C₃×C₇×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
28	C₃×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic
29	C₃×C₇×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
30	C₃×C₄²×C₇	C₂²	1	1	yes	characteristic, complemented
31	#66636	C₂²	1	2	yes	—
32	#66631	C₂²	1	2	yes	complemented
33	#66631	C₂²	1	2	yes	complemented
34	#66631	C₂²	1	2	yes	complemented
35	#66631	C₂²	1	2	yes	complemented
36	C₄⋊Dic₂₁	C₂²	1	1	yes	characteristic, complemented
37	#66629	C₂²	1	2	yes	complemented
38	C₂×#1157	—	3	1	no	—
39	C₂²×D₂₈	—	3	1	no	—
40	C₄×C₇×D₄	D₃	1	1	yes	characteristic, complemented
41	#6500	—	3	2	no	—
42	#6493	—	3	1	no	—
43	#6487	—	3	1	no	—
44	#6457	—	3	2	no	—
45	#6447	—	3	2	no	—
46	D₇×C₂²⋊C₄	—	3	2	no	—
47	#6438	—	3	1	no	—
48	C₄×D₂₈	—	3	1	no	—
49	#5550	—	7	1	no	maximal, Hall
50	C₂³×C₃×C₇	C₂³	1	1	yes	characteristic
51	C₂³×C₃×C₇	C₂³	1	1	yes	characteristic
52	C₂²×D₂₁	—	2	4	no	—
53	C₂²×D₂₁	—	2	4	no	—
54	C₂²×D₂₁	—	4	2	no	—
55	C₂²×D₂₁	C₂³	1	2	yes	—
56	C₂²×D₂₁	C₂³	1	2	yes	—
57	C₃×C₇×D₄	—	2	2	no	—
58	C₂×C₃×C₄×C₇	—	2	2	no	—
59	C₂×C₃×C₄×C₇	—	2	2	no	—
60	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
61	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
62	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
63	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
64	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
65	#4268	—	2	4	no	—
66	#4268	—	4	2	no	—
67	C₂×Dic₂₁	C₂³	1	2	yes	—
68	C₂×Dic₂₁	C₂³	1	2	yes	—
69	D₈₄	—	2	4	no	—
70	D₈₄	—	2	2	no	—
71	D₈₄	D₄	1	4	yes	complemented
72	C₄×D₂₁	—	2	4	no	—
73	C₄×D₂₁	—	4	2	no	—
74	Dic₄₂	—	2	2	no	—
75	C₂³×D₇	—	3	2	no	—
76	C₂×C₇×D₄	C₂×D₃	1	1	yes	characteristic
77	C₂²×C₄×C₇	C₂×D₃	1	1	yes	characteristic
78	C₂²×C₄×C₇	C₂×D₃	1	1	yes	characteristic, complemented
79	C₂×C₂²⋊D₇	—	3	2	no	—
80	C₂×C₂²⋊D₇	—	3	2	no	—
81	#1157	—	6	4	no	—
82	C₂×D₂₈	—	3	1	no	—
83	C₂×D₂₈	—	3	1	no	—
84	C₂×D₂₈	—	3	2	no	—
85	C₂×D₂₈	—	6	4	no	—
86	C₂×C₄×D₇	—	3	2	no	—
87	C₂×C₄×D₇	—	3	2	no	—
88	C₂×Dic₁₄	—	3	1	no	—
89	C₇×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
90	C₇×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
91	C₇×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
92	C₄²×C₇	C₂×D₃	1	1	yes	characteristic, complemented
93	C₂²⋊Dic₇	—	3	2	no	—
94	(C₂×D₇)⋊C₄	—	3	2	no	—
95	(C₂×D₇)⋊C₄	—	3	2	no	—
96	(C₂×D₇)⋊C₄	—	3	2	no	—
97	(C₂×D₇)⋊C₄	—	3	2	no	—
98	C₄⋊Dic₇	—	3	1	no	—
99	Dic₇⋊C₄	—	3	2	no	—
100	C₂×#235	—	7	1	no	—
101	C₂²×D₁₂	—	7	1	no	—
102	C₃×C₄×D₄	D₇	1	1	yes	characteristic, complemented
103	#937	—	7	2	no	—
104	#930	—	7	1	no	—
105	#924	—	7	1	no	—
106	#894	—	7	2	no	—
107	#884	—	7	2	no	—
108	D₃×C₂²⋊C₄	—	7	2	no	—
109	#875	—	7	1	no	—
110	C₄×D₁₂	—	7	1	no	—
111	C₂²×C₃×C₇	—	2	1	no	—
112	C₂²×C₃×C₇	—	2	1	no	—
113	C₂²×C₃×C₇	—	2	1	no	—
114	C₂²×C₃×C₇	—	2	1	no	—
115	C₂²×C₃×C₇	—	2	1	no	—
116	C₂²×C₃×C₇	#41	1	2	yes	complemented
117	C₂²×C₃×C₇	C₂⁴	1	1	yes	characteristic
118	C₂×D₂₁	—	2	2	no	—
119	C₂×D₂₁	—	2	2	no	—
120	C₂×D₂₁	—	2	2	no	—
121	C₂×D₂₁	—	2	2	no	—
122	C₂×D₂₁	—	2	2	no	—
123	C₂×D₂₁	—	4	8	no	—
124	C₂×D₂₁	C₂×D₄	1	4	yes	—
125	C₃×C₄×C₇	—	2	1	no	—
126	C₃×C₄×C₇	—	2	1	no	—
127	C₃×C₄×C₇	—	2	1	no	—
128	C₃×C₄×C₇	—	2	1	no	—
129	C₃×C₄×C₇	C₂×D₄	1	2	yes	—
130	Dic₂₁	—	2	2	no	—
131	Dic₂₁	—	2	2	no	—
132	#546	—	21	1	no	Sylow
133	C₂³×C₇	C₂²×D₃	1	1	yes	characteristic
134	C₂³×C₇	C₂²×D₃	1	1	yes	characteristic
135	C₂²×D₇	—	3	2	no	—
136	C₂²×D₇	—	3	2	no	—
137	C₂²×D₇	—	6	4	no	—
138	C₂²×D₇	—	6	4	no	—
139	C₂²×D₇	—	12	2	no	—
140	C₇×D₄	—	2	2	no	—
141	C₂×C₄×C₇	—	2	2	no	—
142	C₂×C₄×C₇	—	2	2	no	—
143	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
144	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
145	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
146	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
147	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
148	C₂²⋊D₇	—	6	4	no	—
149	C₂²⋊D₇	—	12	2	no	—
150	C₂×Dic₇	—	3	2	no	—
151	C₂×Dic₇	—	3	2	no	—
152	D₂₈	—	3	4	no	—
153	D₂₈	—	6	4	no	—
154	D₂₈	—	6	2	no	—
155	C₄×D₇	—	6	4	no	—
156	C₄×D₇	—	12	2	no	—
157	Dic₁₄	—	6	2	no	—
158	C₂³×D₃	—	7	2	no	—
159	C₂×C₃×D₄	C₂×D₇	1	1	yes	characteristic
160	C₂²×C₃×C₄	C₂×D₇	1	1	yes	characteristic
161	C₂²×C₃×C₄	C₂×D₇	1	1	yes	characteristic, complemented
162	C₂×#67	—	7	2	no	—
163	C₂×#67	—	7	2	no	—
164	#235	—	14	4	no	—
165	C₂×D₁₂	—	7	1	no	—
166	C₂×D₁₂	—	7	1	no	—
167	C₂×D₁₂	—	7	2	no	—
168	C₂×D₁₂	—	14	4	no	—
169	C₂×C₄×D₃	—	7	2	no	—
170	C₂×C₄×D₃	—	7	2	no	—
171	C₂×Dic₆	—	7	1	no	—
172	C₃×C₄⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
173	C₃×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic
174	C₃×C₂²⋊C₄	C₂×D₇	1	1	yes	characteristic, complemented
175	C₃×C₄²	C₂×D₇	1	1	yes	characteristic, complemented
176	#217	—	7	2	no	—
177	(C₂×D₃)⋊C₄	—	7	2	no	—
178	(C₂×D₃)⋊C₄	—	7	2	no	—
179	(C₂×D₃)⋊C₄	—	7	2	no	—
180	(C₂×D₃)⋊C₄	—	7	2	no	—
181	C₄⋊Dic₃	—	7	1	no	—
182	Dic₃⋊C₄	—	7	2	no	—
183	C₂×C₃×C₇	—	2	2	no	—
184	C₂×C₃×C₇	—	4	1	no	—
185	C₂×C₃×C₇	C₂²×D₄	1	1	yes	characteristic
186	C₂×C₃×C₇	C₂×#41	1	1	yes	characteristic
187	C₂×C₃×C₇	H(5,𝔽₂)	1	1	yes	characteristic
188	D₂₁	—	2	4	no	—
189	D₂₁	—	4	2	no	—
190	C₂×#41	—	21	1	no	—
191	C₂²×D₄	—	21	1	no	—
192	#124	—	21	1	no	—
193	#123	—	21	2	no	—
194	C₂²⋊Q₈	—	21	1	no	—
195	#121	—	21	1	no	—
196	#121	—	21	2	no	—
197	#120	—	21	2	no	—
198	C₄×D₄	—	21	1	no	—
199	C₄×D₄	D₂₁	1	1	yes	characteristic, complemented
200	C₂×C₂²⋊C₄	—	21	2	no	—
201	C₂²×C₇	—	2	1	no	—
202	C₂²×C₇	—	2	1	no	—
203	C₂²×C₇	—	2	1	no	—
204	C₂²×C₇	—	2	1	no	—
205	C₂²×C₇	—	2	1	no	—
206	C₂²×C₇	#235	1	2	yes	complemented
207	C₂²×C₇	C₂³×D₃	1	1	yes	characteristic
208	C₂×D₇	—	3	4	no	—
209	C₂×D₇	—	6	2	no	—
210	C₂×D₇	—	6	2	no	—
211	C₂×D₇	—	6	2	no	—
212	C₂×D₇	—	6	2	no	—
213	C₂×D₇	—	6	2	no	—
214	C₂×D₇	—	12	8	no	—
215	C₄×C₇	—	2	1	no	—
216	C₄×C₇	—	2	1	no	—
217	C₄×C₇	—	2	1	no	—
218	C₄×C₇	—	2	1	no	—
219	C₄×C₇	D₃×D₄	1	2	yes	—
220	Dic₇	—	6	2	no	—
221	Dic₇	—	6	2	no	—
222	C₂³×C₃	C₂²×D₇	1	1	yes	characteristic
223	C₂³×C₃	C₂²×D₇	1	1	yes	characteristic
224	C₂²×D₃	—	7	2	no	—
225	C₂²×D₃	—	7	2	no	—
226	C₂²×D₃	—	14	4	no	—
227	C₂²×D₃	—	14	4	no	—
228	C₂²×D₃	—	28	2	no	—
229	C₃×D₄	—	2	2	no	—
230	C₂×C₃×C₄	—	2	2	no	—
231	C₂×C₃×C₄	—	2	2	no	—
232	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
233	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
234	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
235	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
236	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
237	#67	—	14	4	no	—
238	#67	—	28	2	no	—
239	C₂×Dic₃	—	7	2	no	—
240	C₂×Dic₃	—	7	2	no	—
241	D₁₂	—	7	4	no	—
242	D₁₂	—	14	4	no	—
243	D₁₂	—	14	2	no	—
244	C₄×D₃	—	14	4	no	—
245	C₄×D₃	—	28	2	no	—
246	Dic₆	—	14	2	no	—
247	C₃×C₇	#546	1	1	yes	characteristic, complemented, Hall
248	C₂⁴	—	21	2	no	—
249	#41	—	42	4	no	—
250	C₂×Q₈	—	21	1	no	—
251	C₂×D₄	—	21	2	no	—
252	C₂×D₄	—	21	2	no	—
253	C₂×D₄	—	21	1	no	—
254	C₂×D₄	—	21	2	no	—
255	C₂×D₄	—	21	1	no	—
256	C₂×D₄	—	42	4	no	—
257	C₂×D₄	C₂×D₂₁	1	1	yes	characteristic
258	C₂²×C₄	—	21	2	no	—
259	C₂²×C₄	—	21	2	no	—
260	C₂²×C₄	C₂×D₂₁	1	1	yes	characteristic
261	C₂²×C₄	C₂×D₂₁	1	1	yes	characteristic, complemented
262	C₄⋊C₄	—	21	2	no	—
263	C₄⋊C₄	—	21	1	no	—
264	C₄⋊C₄	C₂×D₂₁	1	1	yes	characteristic, complemented
265	C₂²⋊C₄	—	21	2	no	—
266	C₂²⋊C₄	—	21	2	no	—
267	C₂²⋊C₄	—	21	2	no	—
268	C₂²⋊C₄	—	21	2	no	—
269	C₂²⋊C₄	—	21	2	no	—
270	C₂²⋊C₄	C₂×D₂₁	1	1	yes	characteristic
271	C₂²⋊C₄	C₂×D₂₁	1	1	yes	characteristic, complemented
272	C₄²	C₂×D₂₁	1	1	yes	characteristic, complemented
273	C₂×C₇	—	2	2	no	—
274	C₂×C₇	—	4	1	no	—
275	C₂×C₇	C₂×#235	1	1	yes	characteristic
276	C₂×C₇	C₂×D₃×D₄	1	1	yes	characteristic
277	C₂×C₇	#1009	1	1	yes	characteristic
278	D₇	—	6	4	no	—
279	D₇	—	12	2	no	—
280	C₂²×C₃	—	2	1	no	—
281	C₂²×C₃	—	2	1	no	—
282	C₂²×C₃	—	2	1	no	—
283	C₂²×C₃	—	2	1	no	—
284	C₂²×C₃	—	2	1	no	—
285	C₂²×C₃	#1157	1	2	yes	complemented
286	C₂²×C₃	C₂³×D₇	1	1	yes	characteristic
287	C₂×D₃	—	7	4	no	—
288	C₂×D₃	—	14	2	no	—
289	C₂×D₃	—	14	2	no	—
290	C₂×D₃	—	14	2	no	—
291	C₂×D₃	—	14	2	no	—
292	C₂×D₃	—	14	2	no	—
293	C₂×D₃	—	28	8	no	—
294	C₃×C₄	—	2	1	no	—
295	C₃×C₄	—	2	1	no	—
296	C₃×C₄	—	2	1	no	—
297	C₃×C₄	—	2	1	no	—
298	C₃×C₄	D₄×D₇	1	2	yes	—
299	Dic₃	—	14	2	no	—
300	Dic₃	—	14	2	no	—
301	C₂³	—	21	2	no	—
302	C₂³	—	21	2	no	—
303	C₂³	—	42	4	no	—
304	C₂³	—	42	4	no	—
305	C₂³	—	84	2	no	—
306	C₂³	C₂²×D₂₁	1	1	yes	characteristic
307	C₂³	C₂²×D₂₁	1	1	yes	characteristic
308	Q₈	—	42	2	no	—
309	D₄	—	2	2	no	—
310	D₄	—	21	4	no	—
311	D₄	—	42	4	no	—
312	D₄	—	42	4	no	—
313	D₄	—	42	2	no	—
314	D₄	—	84	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	21	2	no	—
318	C₂×C₄	—	21	2	no	—
319	C₂×C₄	—	42	4	no	—
320	C₂×C₄	—	84	2	no	—
321	C₂×C₄	C₂²×D₂₁	1	1	yes	characteristic
322	C₂×C₄	C₂²×D₂₁	1	1	yes	characteristic
323	C₂×C₄	C₂²×D₂₁	1	1	yes	characteristic
324	C₂×C₄	C₂²×D₂₁	1	1	yes	characteristic
325	C₂×C₄	C₂²×D₂₁	1	1	yes	characteristic
326	C₇	#5550	1	1	yes	characteristic, complemented, Sylow
327	C₂×C₃	—	2	2	no	—
328	C₂×C₃	—	4	1	no	—
329	C₂×C₃	C₂×#1157	1	1	yes	characteristic
330	C₂×C₃	C₂×D₄×D₇	1	1	yes	characteristic
331	C₂×C₃	#6553	1	1	yes	characteristic
332	D₃	—	14	4	no	—
333	D₃	—	28	2	no	—
334	C₂²	—	2	1	no	—
335	C₂²	—	2	1	no	—
336	C₂²	—	2	1	no	—
337	C₂²	—	2	1	no	—
338	C₂²	—	2	1	no	—
339	C₂²	—	21	4	no	—
340	C₂²	—	42	2	no	—
341	C₂²	—	42	2	no	—
342	C₂²	—	42	2	no	—
343	C₂²	—	42	2	no	—
344	C₂²	—	42	2	no	—
345	C₂²	—	84	8	no	—
346	C₂²	#66728	1	2	yes	complemented
347	C₂²	C₂³×D₂₁	1	1	yes	characteristic
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	42	2	no	—
353	C₄	—	42	2	no	—
354	C₄	D₄×D₂₁	1	2	yes	—
355	C₃	#90241	1	1	yes	characteristic, complemented, Sylow
356	C₂	—	2	2	no	—
357	C₂	—	4	1	no	—
358	C₂	—	42	4	no	—
359	C₂	—	84	2	no	—
360	C₂	C₂×#66728	1	1	yes	characteristic
361	C₂	C₂×D₄×D₂₁	1	1	yes	characteristic
362	C₂	#10621662	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂³×D₂₁
commutator, socle, cosocle	C₂²×C₃×C₇	C₂⁴
Fitting	C₃×C₄×C₇×D₄	C₂
hypercenter	C₄×D₄	D₂₁
hypocenter	C₃×C₇	#546
LCS	G ▷ C₂²×C₃×C₇ ▷ C₃×C₇
UCS	C₁ ◁ C₂² ◁ C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂×#66728	C₂	semidirect
2. C₂²×D₈₄	C₂	semidirect
3. C₃×C₄×C₇×D₄	C₂	semidirect
4. #10621420	C₂	semidirect
5. #10621413	C₂	semidirect
6. #10621407	C₂	semidirect
7. #10621377	C₂	semidirect
8. #10621367	C₂	semidirect
9. C₂²⋊C₄×D₂₁	C₂	semidirect
10. #10621358	C₂	semidirect
11. C₄×D₈₄	C₂	semidirect
16. C₂²×C₃×C₄×C₇	C₂²	semidirect
17. C₂×#4268	C₂²	semidirect
18. C₂×#4268	C₂²	semidirect
24. C₂×C₄×D₂₁	C₂²	semidirect
25. C₂×C₄×D₂₁	C₂²	semidirect
26. C₂×Dic₄₂	C₂²	semidirect
27. C₃×C₇×C₄⋊C₄	C₂²	semidirect
29. C₃×C₇×C₂²⋊C₄	C₂²	semidirect
30. C₃×C₄²×C₇	C₂²	semidirect
32. #66631	C₂²	semidirect
33. #66631	C₂²	semidirect
34. #66631	C₂²	semidirect
35. #66631	C₂²	semidirect
36. C₄⋊Dic₂₁	C₂²	semidirect
37. #66629	C₂²	semidirect
40. C₄×C₇×D₄	D₃	semidirect
71. D₈₄	D₄	semidirect
78. C₂²×C₄×C₇	C₂×D₃	semidirect
89. C₇×C₄⋊C₄	C₂×D₃	semidirect
91. C₇×C₂²⋊C₄	C₂×D₃	semidirect
92. C₄²×C₇	C₂×D₃	semidirect
102. C₃×C₄×D₄	D₇	semidirect
116. C₂²×C₃×C₇	#41	semidirect
161. C₂²×C₃×C₄	C₂×D₇	semidirect
172. C₃×C₄⋊C₄	C₂×D₇	semidirect
174. C₃×C₂²⋊C₄	C₂×D₇	semidirect
175. C₃×C₄²	C₂×D₇	semidirect
199. C₄×D₄	D₂₁	semidirect
206. C₂²×C₇	#235	semidirect
247. C₃×C₇	#546	semidirect
261. C₂²×C₄	C₂×D₂₁	semidirect
264. C₄⋊C₄	C₂×D₂₁	semidirect
271. C₂²⋊C₄	C₂×D₂₁	semidirect
272. C₄²	C₂×D₂₁	semidirect
285. C₂²×C₃	#1157	semidirect
326. C₇	#5550	semidirect
346. C₂²	#66728	semidirect
355. C₃	#90241	semidirect

Maximal subgroups

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

subgroup	index
C₂×#66728	2
C₂²×D₈₄	2
C₃×C₄×C₇×D₄	2
#10621420	2
#10621413	2
#10621407	2
#10621377	2
#10621367	2
C₂²⋊C₄×D₂₁	2
#10621358	2
C₄×D₈₄	2
#90241	3
#5550	7