Subgroups — C₃₇×#28365 #22649618

Order 9472.

1296 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#482	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃₇×#468	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃₇×#450	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃₇×#418	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₇×#2499	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₇×#2433	C₂	1	1	yes	maximal, characteristic
7	C₃₇×#2093	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₇×#2092	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₇×#2014	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₇×#2014	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#1973	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃₇×#1968	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₇×#1961	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#1957	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#1753	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂³×D₄×C₃₇	C₂²	1	1	yes	characteristic
17	C₂²×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
18	C₂²×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
19	C₂²×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic, complemented
20	C₂²×M₁₆×C₃₇	C₂²	1	1	yes	characteristic
21	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
22	C₂×#127×C₃₇	C₂²	1	1	yes	characteristic
23	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
24	C₂×#121×C₃₇	C₂²	1	1	yes	characteristic
25	C₂×#120×C₃₇	—	2	2	no	—
26	C₂×#117×C₃₇	C₂²	1	1	yes	characteristic
27	C₃₇×#482	—	2	4	no	—
28	C₃₇×#468	—	2	4	no	—
29	C₃₇×#450	—	2	4	no	—
30	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic, complemented
31	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic, complemented
32	C₂×#106×C₃₇	C₂²	1	1	yes	characteristic, complemented
33	C₃₇×#418	—	2	4	no	—
34	C₂×#103×C₃₇	C₂²	1	1	yes	characteristic, complemented
35	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
36	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
37	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
38	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
39	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
40	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic
41	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic, complemented
42	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic, complemented
43	C₂×#102×C₃₇	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₂²⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
45	C₂×#97×C₃₇	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
47	C₃₇×#397	—	2	2	no	—
48	C₃₇×#392	—	2	2	no	—
49	C₃₇×#391	C₂²	1	1	yes	characteristic, complemented
50	C₃₇×#391	C₂²	1	1	yes	characteristic, complemented
51	C₃₇×#390	C₂²	1	1	yes	characteristic
52	C₃₇×#390	C₂²	1	1	yes	characteristic
53	C₃₇×#387	—	2	2	no	—
54	C₃₇×#384	C₂²	1	1	yes	characteristic, complemented
55	C₃₇×#382	C₂²	1	1	yes	characteristic, complemented
56	C₄×C₂²⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
57	C₃₇×#336	C₂²	1	1	yes	characteristic, complemented
58	C₃₇×#336	C₂²	1	1	yes	characteristic, complemented
59	C₂⁵×C₃₇	—	2	1	no	—
60	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
61	C₂²×D₄×C₃₇	—	2	2	no	—
62	C₂²×D₄×C₃₇	—	2	2	no	—
63	C₂²×D₄×C₃₇	—	2	1	no	—
64	C₂²×D₄×C₃₇	—	2	2	no	—
65	C₂²×D₄×C₃₇	—	2	2	no	—
66	C₂²×D₄×C₃₇	—	2	1	no	—
67	C₂²×D₄×C₃₇	—	2	2	no	—
68	C₂²×D₄×C₃₇	—	2	2	no	—
69	C₂²×D₄×C₃₇	—	4	1	no	—
70	C₂²×D₄×C₃₇	—	4	1	no	—
71	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
72	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
73	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₃₇	C₂³	1	1	yes	characteristic
75	C₂×SD₁₆×C₃₇	—	2	2	no	—
76	C₂×SD₁₆×C₃₇	—	2	2	no	—
77	C₂×SD₁₆×C₃₇	—	2	2	no	—
78	C₂×SD₁₆×C₃₇	—	2	2	no	—
79	C₂×SD₁₆×C₃₇	—	2	2	no	—
80	C₂×SD₁₆×C₃₇	—	4	1	no	—
81	C₂×SD₁₆×C₃₇	—	4	1	no	—
82	C₂×SD₁₆×C₃₇	—	4	1	no	—
83	C₂×SD₁₆×C₃₇	—	4	1	no	—
84	C₂×M₁₆×C₃₇	—	4	1	no	—
85	C₂×M₁₆×C₃₇	—	4	1	no	—
86	C₂×M₁₆×C₃₇	D₄	1	4	yes	complemented
87	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
88	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
89	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
90	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
91	#127×C₃₇	—	2	2	no	—
92	#127×C₃₇	—	2	2	no	—
93	#127×C₃₇	—	4	1	no	—
94	#127×C₃₇	—	4	1	no	—
95	C₂²⋊Q₈×C₃₇	—	2	2	no	—
96	C₂²⋊Q₈×C₃₇	—	2	2	no	—
97	#121×C₃₇	—	2	2	no	—
98	#121×C₃₇	—	2	2	no	—
99	#120×C₃₇	—	4	8	no	—
100	#117×C₃₇	—	2	2	no	—
101	#117×C₃₇	—	2	2	no	—
102	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
103	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
104	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
105	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
106	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
107	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
108	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
109	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
110	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
111	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
112	C₂×C₂²⋊C₄×C₃₇	—	2	1	no	—
113	C₂×C₂²⋊C₄×C₃₇	D₄	1	2	yes	—
114	C₂×C₄²×C₃₇	—	2	1	no	—
115	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
116	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
117	#107×C₃₇	—	2	2	no	—
118	#107×C₃₇	—	2	2	no	—
119	#106×C₃₇	—	2	2	no	—
120	#103×C₃₇	—	2	2	no	—
121	#102×C₃₇	—	2	2	no	—
122	#102×C₃₇	—	2	2	no	—
123	#102×C₃₇	—	2	2	no	—
124	#102×C₃₇	—	2	2	no	—
125	#102×C₃₇	—	2	2	no	—
126	#102×C₃₇	—	2	2	no	—
127	#102×C₃₇	—	2	2	no	—
128	#102×C₃₇	—	2	2	no	—
129	#102×C₃₇	—	2	2	no	—
130	C₂²⋊C₈×C₃₇	D₄	1	4	yes	complemented
131	#97×C₃₇	—	4	1	no	—
132	C₄×C₈×C₃₇	—	4	1	no	—
133	#95×C₃₇	—	2	2	no	—
134	#95×C₃₇	—	2	2	no	—
135	#95×C₃₇	—	2	2	no	—
136	#95×C₃₇	D₄	1	2	yes	—
137	C₂⁴×C₃₇	—	2	1	no	—
138	C₂⁴×C₃₇	—	2	1	no	—
139	C₂⁴×C₃₇	—	2	1	no	—
140	C₂⁴×C₃₇	—	4	2	no	—
141	C₂⁴×C₃₇	—	4	2	no	—
142	C₂⁴×C₃₇	—	4	4	no	—
143	C₂⁴×C₃₇	—	4	2	no	—
144	C₂⁴×C₃₇	—	8	2	no	—
145	C₂⁴×C₃₇	C₂×D₄	1	1	yes	characteristic
146	C₂×Q₈×C₃₇	—	2	1	no	—
147	C₂×Q₈×C₃₇	—	2	1	no	—
148	C₂×Q₈×C₃₇	—	2	1	no	—
149	C₂×Q₈×C₃₇	—	2	1	no	—
150	C₂×Q₈×C₃₇	—	2	1	no	—
151	C₂×Q₈×C₃₇	—	2	1	no	—
152	C₂×D₄×C₃₇	—	2	8	no	—
153	C₂×D₄×C₃₇	—	2	1	no	—
154	C₂×D₄×C₃₇	—	2	1	no	—
155	C₂×D₄×C₃₇	—	2	1	no	—
156	C₂×D₄×C₃₇	—	2	1	no	—
157	C₂×D₄×C₃₇	—	2	1	no	—
158	C₂×D₄×C₃₇	—	2	1	no	—
159	C₂×D₄×C₃₇	—	2	1	no	—
160	C₂×D₄×C₃₇	—	2	1	no	—
161	C₂×D₄×C₃₇	—	2	1	no	—
162	C₂×D₄×C₃₇	—	2	1	no	—
163	C₂×D₄×C₃₇	—	2	1	no	—
164	C₂×D₄×C₃₇	—	2	1	no	—
165	C₂×D₄×C₃₇	—	2	1	no	—
166	C₂×D₄×C₃₇	—	2	1	no	—
167	C₂×D₄×C₃₇	—	2	1	no	—
168	C₂×D₄×C₃₇	—	2	1	no	—
169	C₂×D₄×C₃₇	—	4	4	no	—
170	C₂×D₄×C₃₇	—	4	4	no	—
171	C₂×D₄×C₃₇	—	4	2	no	—
172	C₂×D₄×C₃₇	—	4	2	no	—
173	C₂×D₄×C₃₇	—	4	4	no	—
174	C₂×D₄×C₃₇	—	4	4	no	—
175	C₂×D₄×C₃₇	—	4	4	no	—
176	C₂×D₄×C₃₇	—	4	4	no	—
177	C₂×D₄×C₃₇	—	4	4	no	—
178	C₂×D₄×C₃₇	—	4	2	no	—
179	C₂×D₄×C₃₇	—	4	2	no	—
180	C₂×D₄×C₃₇	—	4	4	no	—
181	C₂×D₄×C₃₇	—	8	2	no	—
182	C₂×D₄×C₃₇	—	8	2	no	—
183	C₂×D₄×C₃₇	#41	1	2	yes	—
184	C₂×D₄×C₃₇	#41	1	2	yes	—
185	C₂²×C₄×C₃₇	—	2	1	no	—
186	C₂²×C₄×C₃₇	—	2	1	no	—
187	C₂²×C₄×C₃₇	—	2	1	no	—
188	C₂²×C₄×C₃₇	—	2	1	no	—
189	C₂²×C₄×C₃₇	—	2	1	no	—
190	C₂²×C₄×C₃₇	—	2	1	no	—
191	C₂²×C₄×C₃₇	—	2	1	no	—
192	C₂²×C₄×C₃₇	—	2	1	no	—
193	C₂²×C₄×C₃₇	—	2	1	no	—
194	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
195	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
197	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
198	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
199	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
200	SD₁₆×C₃₇	—	4	4	no	—
201	SD₁₆×C₃₇	—	4	4	no	—
202	SD₁₆×C₃₇	—	4	4	no	—
203	M₁₆×C₃₇	—	4	4	no	—
204	C₂×C₈×C₃₇	—	2	1	no	—
205	C₂×C₈×C₃₇	—	2	1	no	—
206	C₂×C₈×C₃₇	—	2	1	no	—
207	C₂×C₈×C₃₇	—	2	1	no	—
208	C₂×C₈×C₃₇	—	2	1	no	—
209	C₂×C₈×C₃₇	—	2	1	no	—
210	C₂×C₈×C₃₇	—	2	1	no	—
211	C₂×C₈×C₃₇	—	2	1	no	—
212	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
213	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
214	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
215	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
216	C₄⋊C₄×C₃₇	—	2	1	no	—
217	C₄⋊C₄×C₃₇	—	2	1	no	—
218	C₄⋊C₄×C₃₇	—	2	1	no	—
219	C₄⋊C₄×C₃₇	—	2	1	no	—
220	C₄⋊C₄×C₃₇	—	2	1	no	—
221	C₄⋊C₄×C₃₇	—	2	1	no	—
222	C₄⋊C₄×C₃₇	—	2	1	no	—
223	C₄⋊C₄×C₃₇	—	2	1	no	—
224	C₄⋊C₄×C₃₇	—	4	2	no	—
225	C₄⋊C₄×C₃₇	—	4	4	no	—
226	C₂²⋊C₄×C₃₇	—	2	4	no	—
227	C₂²⋊C₄×C₃₇	—	4	4	no	—
228	C₂²⋊C₄×C₃₇	—	4	2	no	—
229	C₂²⋊C₄×C₃₇	—	4	2	no	—
230	C₂²⋊C₄×C₃₇	—	4	2	no	—
231	C₂²⋊C₄×C₃₇	—	4	4	no	—
232	C₄²×C₃₇	—	2	1	no	—
233	C₄²×C₃₇	—	2	1	no	—
234	C₄²×C₃₇	—	2	1	no	—
235	C₄²×C₃₇	—	2	1	no	—
236	C₄²×C₃₇	—	4	2	no	—
237	C₂³×C₃₇	—	2	1	no	—
238	C₂³×C₃₇	—	2	1	no	—
239	C₂³×C₃₇	—	2	2	no	—
240	C₂³×C₃₇	—	2	2	no	—
241	C₂³×C₃₇	—	2	2	no	—
242	C₂³×C₃₇	—	2	2	no	—
243	C₂³×C₃₇	—	4	8	no	—
244	C₂³×C₃₇	—	4	1	no	—
245	C₂³×C₃₇	—	4	1	no	—
246	C₂³×C₃₇	—	4	1	no	—
247	C₂³×C₃₇	—	4	1	no	—
248	C₂³×C₃₇	—	4	2	no	—
249	C₂³×C₃₇	—	4	2	no	—
250	C₂³×C₃₇	—	4	2	no	—
251	C₂³×C₃₇	—	4	2	no	—
252	C₂³×C₃₇	—	4	1	no	—
253	C₂³×C₃₇	—	4	1	no	—
254	C₂³×C₃₇	—	4	1	no	—
255	C₂³×C₃₇	—	4	2	no	—
256	C₂³×C₃₇	—	4	2	no	—
257	C₂³×C₃₇	—	8	4	no	—
258	C₂³×C₃₇	—	8	4	no	—
259	C₂³×C₃₇	—	8	8	no	—
260	C₂³×C₃₇	—	8	8	no	—
261	C₂³×C₃₇	#127	1	2	yes	—
262	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
263	Q₈×C₃₇	—	4	1	no	—
264	Q₈×C₃₇	—	4	1	no	—
265	Q₈×C₃₇	—	4	1	no	—
266	Q₈×C₃₇	—	4	1	no	—
267	D₄×C₃₇	—	2	2	no	—
268	D₄×C₃₇	—	2	2	no	—
269	D₄×C₃₇	—	2	2	no	—
270	D₄×C₃₇	—	2	2	no	—
271	D₄×C₃₇	—	4	8	no	—
272	D₄×C₃₇	—	4	1	no	—
273	D₄×C₃₇	—	4	1	no	—
274	D₄×C₃₇	—	4	1	no	—
275	D₄×C₃₇	—	4	1	no	—
276	D₄×C₃₇	—	4	1	no	—
277	D₄×C₃₇	—	4	1	no	—
278	D₄×C₃₇	—	4	1	no	—
279	D₄×C₃₇	—	4	1	no	—
280	D₄×C₃₇	—	8	8	no	—
281	D₄×C₃₇	—	8	8	no	—
282	D₄×C₃₇	—	8	4	no	—
283	C₂×C₄×C₃₇	—	2	2	no	—
284	C₂×C₄×C₃₇	—	2	1	no	—
285	C₂×C₄×C₃₇	—	2	1	no	—
286	C₂×C₄×C₃₇	—	2	2	no	—
287	C₂×C₄×C₃₇	—	2	2	no	—
288	C₂×C₄×C₃₇	—	2	2	no	—
289	C₂×C₄×C₃₇	—	2	2	no	—
290	C₂×C₄×C₃₇	—	2	2	no	—
291	C₂×C₄×C₃₇	—	2	2	no	—
292	C₂×C₄×C₃₇	—	2	2	no	—
293	C₂×C₄×C₃₇	—	2	2	no	—
294	C₂×C₄×C₃₇	—	4	1	no	—
295	C₂×C₄×C₃₇	—	4	1	no	—
296	C₂×C₄×C₃₇	—	4	1	no	—
297	C₂×C₄×C₃₇	—	4	1	no	—
298	C₂×C₄×C₃₇	—	4	1	no	—
299	C₂×C₄×C₃₇	—	4	1	no	—
300	C₂×C₄×C₃₇	—	4	1	no	—
301	C₂×C₄×C₃₇	—	4	2	no	—
302	C₂×C₄×C₃₇	—	4	2	no	—
303	C₂×C₄×C₃₇	—	4	2	no	—
304	C₂×C₄×C₃₇	—	4	2	no	—
305	C₂×C₄×C₃₇	#127	1	2	yes	—
306	C₂×C₄×C₃₇	AGL(1,ℤ/8)	1	4	yes	—
307	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
308	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
309	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
310	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
311	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
312	C₂×C₄×C₃₇	H(5,𝔽₂)	1	1	yes	characteristic
313	C₈×C₃₇	—	2	2	no	—
314	C₈×C₃₇	—	2	2	no	—
315	C₈×C₃₇	—	2	2	no	—
316	C₈×C₃₇	—	2	2	no	—
317	#28365	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
318	C₂²×C₃₇	—	2	2	no	—
319	C₂²×C₃₇	—	2	2	no	—
320	C₂²×C₃₇	—	2	2	no	—
321	C₂²×C₃₇	—	4	2	no	—
322	C₂²×C₃₇	—	4	2	no	—
323	C₂²×C₃₇	—	4	2	no	—
324	C₂²×C₃₇	—	4	2	no	—
325	C₂²×C₃₇	—	4	4	no	—
326	C₂²×C₃₇	—	4	4	no	—
327	C₂²×C₃₇	—	8	16	no	—
328	C₂²×C₃₇	—	8	1	no	—
329	C₂²×C₃₇	—	8	1	no	—
330	C₂²×C₃₇	—	8	1	no	—
331	C₂²×C₃₇	—	8	1	no	—
332	C₂²×C₃₇	—	8	2	no	—
333	C₂²×C₃₇	—	8	2	no	—
334	C₂²×C₃₇	—	8	1	no	—
335	C₂²×C₃₇	—	8	1	no	—
336	C₂²×C₃₇	—	8	1	no	—
337	C₂²×C₃₇	—	8	2	no	—
338	C₂²×C₃₇	—	8	2	no	—
339	C₂²×C₃₇	C₂×#127	1	1	yes	characteristic
340	C₂²×C₃₇	#546	1	1	yes	characteristic
341	C₂²×C₃₇	#546	1	1	yes	characteristic
342	C₂²×C₃₇	C₂×AGL(1,ℤ/8)	1	2	yes	—
343	C₂²×C₃₇	#577	1	2	yes	—
344	C₄×C₃₇	—	2	2	no	—
345	C₄×C₃₇	—	2	4	no	—
346	C₄×C₃₇	—	4	2	no	—
347	C₄×C₃₇	—	8	1	no	—
348	C₄×C₃₇	—	8	1	no	—
349	C₄×C₃₇	—	8	1	no	—
350	C₄×C₃₇	—	8	1	no	—
351	C₄×C₃₇	—	8	1	no	—
352	C₄×C₃₇	#525	1	1	yes	characteristic
353	C₄×C₃₇	#534	1	1	yes	characteristic
354	C₄×C₃₇	#546	1	1	yes	characteristic
355	C₄×C₃₇	#546	1	1	yes	characteristic
356	C₂×#482	C₂×C₃₇	1	1	yes	characteristic, complemented
357	C₂×#468	C₂×C₃₇	1	1	yes	characteristic, complemented
358	C₂×#450	C₂×C₃₇	1	1	yes	characteristic, complemented
359	C₂×#418	C₂×C₃₇	1	1	yes	characteristic, complemented
360	#2499	C₂×C₃₇	1	1	yes	characteristic, complemented
361	#2433	C₂×C₃₇	1	1	yes	characteristic
362	#2093	C₂×C₃₇	1	1	yes	characteristic, complemented
363	#2092	C₂×C₃₇	1	1	yes	characteristic, complemented
364	#2014	C₂×C₃₇	1	1	yes	characteristic, complemented
365	#2014	C₂×C₃₇	1	1	yes	characteristic, complemented
366	#1973	C₂×C₃₇	1	1	yes	characteristic, complemented
367	#1968	C₂×C₃₇	1	1	yes	characteristic, complemented
368	#1961	C₂×C₃₇	1	1	yes	characteristic, complemented
369	#1957	C₂×C₃₇	1	1	yes	characteristic, complemented
370	#1753	C₂×C₃₇	1	1	yes	characteristic, complemented
371	C₂×C₃₇	—	4	2	no	—
372	C₂×C₃₇	—	8	2	no	—
373	C₂×C₃₇	—	8	2	no	—
374	C₂×C₃₇	—	16	1	no	—
375	C₂×C₃₇	#2539	1	1	yes	characteristic
376	C₂×C₃₇	#3151	1	1	yes	characteristic
377	C₂×C₃₇	#3154	1	1	yes	characteristic
378	C₂×C₃₇	#3310	1	2	yes	—
379	C₂×C₃₇	#3324	1	2	yes	—
380	C₂³×D₄	C₂²×C₃₇	1	1	yes	characteristic
381	C₂²×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic
382	C₂²×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic
383	C₂²×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic, complemented
384	C₂²×M₁₆	C₂²×C₃₇	1	1	yes	characteristic
385	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
386	C₂×#127	C₂²×C₃₇	1	1	yes	characteristic
387	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
388	C₂×#121	C₂²×C₃₇	1	1	yes	characteristic
389	C₂×#120	—	2	2	no	—
390	C₂×#117	C₂²×C₃₇	1	1	yes	characteristic
391	#482	—	2	4	no	—
392	#468	—	2	4	no	—
393	#450	—	2	4	no	—
394	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic, complemented
395	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic, complemented
396	C₂×#106	C₂²×C₃₇	1	1	yes	characteristic, complemented
397	#418	—	2	4	no	—
398	C₂×#103	C₂²×C₃₇	1	1	yes	characteristic, complemented
399	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
400	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
401	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
402	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
403	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
404	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic
405	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic, complemented
406	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic, complemented
407	C₂×#102	C₂²×C₃₇	1	1	yes	characteristic, complemented
408	C₂×C₂²⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
409	C₂×#97	C₂²×C₃₇	1	1	yes	characteristic, complemented
410	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
411	#397	—	2	2	no	—
412	#392	—	2	2	no	—
413	#391	C₂²×C₃₇	1	1	yes	characteristic, complemented
414	#391	C₂²×C₃₇	1	1	yes	characteristic, complemented
415	#390	C₂²×C₃₇	1	1	yes	characteristic
416	#390	C₂²×C₃₇	1	1	yes	characteristic
417	#387	—	2	2	no	—
418	#384	C₂²×C₃₇	1	1	yes	characteristic, complemented
419	#382	C₂²×C₃₇	1	1	yes	characteristic, complemented
420	C₄×C₂²⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
421	#336	C₂²×C₃₇	1	1	yes	characteristic, complemented
422	#336	C₂²×C₃₇	1	1	yes	characteristic, complemented
423	C₃₇	#28365	1	1	yes	characteristic, direct product factor, Sylow
424	C₂⁵	—	2	1	no	—
425	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
426	C₂²×D₄	—	2	2	no	—
427	C₂²×D₄	—	2	2	no	—
428	C₂²×D₄	—	2	1	no	—
429	C₂²×D₄	—	2	2	no	—
430	C₂²×D₄	—	2	2	no	—
431	C₂²×D₄	—	2	1	no	—
432	C₂²×D₄	—	2	2	no	—
433	C₂²×D₄	—	2	2	no	—
434	C₂²×D₄	—	4	1	no	—
435	C₂²×D₄	—	4	1	no	—
436	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
437	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
438	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
439	C₂³×C₄	C₂³×C₃₇	1	1	yes	characteristic
440	C₂×SD₁₆	—	2	2	no	—
441	C₂×SD₁₆	—	2	2	no	—
442	C₂×SD₁₆	—	2	2	no	—
443	C₂×SD₁₆	—	2	2	no	—
444	C₂×SD₁₆	—	2	2	no	—
445	C₂×SD₁₆	—	4	1	no	—
446	C₂×SD₁₆	—	4	1	no	—
447	C₂×SD₁₆	—	4	1	no	—
448	C₂×SD₁₆	—	4	1	no	—
449	C₂×M₁₆	—	4	1	no	—
450	C₂×M₁₆	—	4	1	no	—
451	C₂×M₁₆	D₄×C₃₇	1	4	yes	complemented
452	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
453	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
454	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
455	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
456	#127	—	2	2	no	—
457	#127	—	2	2	no	—
458	#127	—	4	1	no	—
459	#127	—	4	1	no	—
460	C₂²⋊Q₈	—	2	2	no	—
461	C₂²⋊Q₈	—	2	2	no	—
462	#121	—	2	2	no	—
463	#121	—	2	2	no	—
464	#120	—	4	8	no	—
465	#117	—	2	2	no	—
466	#117	—	2	2	no	—
467	C₂×C₄⋊C₄	—	2	1	no	—
468	C₂×C₄⋊C₄	—	2	2	no	—
469	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
470	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
471	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
472	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
473	C₂×C₂²⋊C₄	—	2	1	no	—
474	C₂×C₂²⋊C₄	—	2	1	no	—
475	C₂×C₂²⋊C₄	—	2	2	no	—
476	C₂×C₂²⋊C₄	—	2	2	no	—
477	C₂×C₂²⋊C₄	—	2	1	no	—
478	C₂×C₂²⋊C₄	D₄×C₃₇	1	2	yes	—
479	C₂×C₄²	—	2	1	no	—
480	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
481	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
482	#107	—	2	2	no	—
483	#107	—	2	2	no	—
484	#106	—	2	2	no	—
485	#103	—	2	2	no	—
486	#102	—	2	2	no	—
487	#102	—	2	2	no	—
488	#102	—	2	2	no	—
489	#102	—	2	2	no	—
490	#102	—	2	2	no	—
491	#102	—	2	2	no	—
492	#102	—	2	2	no	—
493	#102	—	2	2	no	—
494	#102	—	2	2	no	—
495	C₂²⋊C₈	D₄×C₃₇	1	4	yes	complemented
496	#97	—	4	1	no	—
497	C₄×C₈	—	4	1	no	—
498	#95	—	2	2	no	—
499	#95	—	2	2	no	—
500	#95	—	2	2	no	—
501	#95	D₄×C₃₇	1	2	yes	—
502	C₂⁴	—	2	1	no	—
503	C₂⁴	—	2	1	no	—
504	C₂⁴	—	2	1	no	—
505	C₂⁴	—	4	2	no	—
506	C₂⁴	—	4	2	no	—
507	C₂⁴	—	4	4	no	—
508	C₂⁴	—	4	2	no	—
509	C₂⁴	—	8	2	no	—
510	C₂⁴	C₂×D₄×C₃₇	1	1	yes	characteristic
511	C₂×Q₈	—	2	1	no	—
512	C₂×Q₈	—	2	1	no	—
513	C₂×Q₈	—	2	1	no	—
514	C₂×Q₈	—	2	1	no	—
515	C₂×Q₈	—	2	1	no	—
516	C₂×Q₈	—	2	1	no	—
517	C₂×D₄	—	2	8	no	—
518	C₂×D₄	—	2	1	no	—
519	C₂×D₄	—	2	1	no	—
520	C₂×D₄	—	2	1	no	—
521	C₂×D₄	—	2	1	no	—
522	C₂×D₄	—	2	1	no	—
523	C₂×D₄	—	2	1	no	—
524	C₂×D₄	—	2	1	no	—
525	C₂×D₄	—	2	1	no	—
526	C₂×D₄	—	2	1	no	—
527	C₂×D₄	—	2	1	no	—
528	C₂×D₄	—	2	1	no	—
529	C₂×D₄	—	2	1	no	—
530	C₂×D₄	—	2	1	no	—
531	C₂×D₄	—	2	1	no	—
532	C₂×D₄	—	2	1	no	—
533	C₂×D₄	—	2	1	no	—
534	C₂×D₄	—	4	4	no	—
535	C₂×D₄	—	4	4	no	—
536	C₂×D₄	—	4	2	no	—
537	C₂×D₄	—	4	2	no	—
538	C₂×D₄	—	4	4	no	—
539	C₂×D₄	—	4	4	no	—
540	C₂×D₄	—	4	4	no	—
541	C₂×D₄	—	4	4	no	—
542	C₂×D₄	—	4	4	no	—
543	C₂×D₄	—	4	2	no	—
544	C₂×D₄	—	4	2	no	—
545	C₂×D₄	—	4	4	no	—
546	C₂×D₄	—	8	2	no	—
547	C₂×D₄	—	8	2	no	—
548	C₂×D₄	#41×C₃₇	1	2	yes	—
549	C₂×D₄	#41×C₃₇	1	2	yes	—
550	C₂²×C₄	—	2	1	no	—
551	C₂²×C₄	—	2	1	no	—
552	C₂²×C₄	—	2	1	no	—
553	C₂²×C₄	—	2	1	no	—
554	C₂²×C₄	—	2	1	no	—
555	C₂²×C₄	—	2	1	no	—
556	C₂²×C₄	—	2	1	no	—
557	C₂²×C₄	—	2	1	no	—
558	C₂²×C₄	—	2	1	no	—
559	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
560	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
561	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
562	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
563	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
564	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
565	SD₁₆	—	4	4	no	—
566	SD₁₆	—	4	4	no	—
567	SD₁₆	—	4	4	no	—
568	M₁₆	—	4	4	no	—
569	C₂×C₈	—	2	1	no	—
570	C₂×C₈	—	2	1	no	—
571	C₂×C₈	—	2	1	no	—
572	C₂×C₈	—	2	1	no	—
573	C₂×C₈	—	2	1	no	—
574	C₂×C₈	—	2	1	no	—
575	C₂×C₈	—	2	1	no	—
576	C₂×C₈	—	2	1	no	—
577	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
578	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
579	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
580	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
581	C₄⋊C₄	—	2	1	no	—
582	C₄⋊C₄	—	2	1	no	—
583	C₄⋊C₄	—	2	1	no	—
584	C₄⋊C₄	—	2	1	no	—
585	C₄⋊C₄	—	2	1	no	—
586	C₄⋊C₄	—	2	1	no	—
587	C₄⋊C₄	—	2	1	no	—
588	C₄⋊C₄	—	2	1	no	—
589	C₄⋊C₄	—	4	2	no	—
590	C₄⋊C₄	—	4	4	no	—
591	C₂²⋊C₄	—	2	4	no	—
592	C₂²⋊C₄	—	4	4	no	—
593	C₂²⋊C₄	—	4	2	no	—
594	C₂²⋊C₄	—	4	2	no	—
595	C₂²⋊C₄	—	4	2	no	—
596	C₂²⋊C₄	—	4	4	no	—
597	C₄²	—	2	1	no	—
598	C₄²	—	2	1	no	—
599	C₄²	—	2	1	no	—
600	C₄²	—	2	1	no	—
601	C₄²	—	4	2	no	—
602	C₂³	—	2	1	no	—
603	C₂³	—	2	1	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	2	2	no	—
606	C₂³	—	2	2	no	—
607	C₂³	—	2	2	no	—
608	C₂³	—	4	8	no	—
609	C₂³	—	4	1	no	—
610	C₂³	—	4	1	no	—
611	C₂³	—	4	1	no	—
612	C₂³	—	4	1	no	—
613	C₂³	—	4	2	no	—
614	C₂³	—	4	2	no	—
615	C₂³	—	4	2	no	—
616	C₂³	—	4	2	no	—
617	C₂³	—	4	1	no	—
618	C₂³	—	4	1	no	—
619	C₂³	—	4	1	no	—
620	C₂³	—	4	2	no	—
621	C₂³	—	4	2	no	—
622	C₂³	—	8	4	no	—
623	C₂³	—	8	4	no	—
624	C₂³	—	8	8	no	—
625	C₂³	—	8	8	no	—
626	C₂³	#127×C₃₇	1	2	yes	—
627	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
628	Q₈	—	4	1	no	—
629	Q₈	—	4	1	no	—
630	Q₈	—	4	1	no	—
631	Q₈	—	4	1	no	—
632	D₄	—	2	2	no	—
633	D₄	—	2	2	no	—
634	D₄	—	2	2	no	—
635	D₄	—	2	2	no	—
636	D₄	—	4	8	no	—
637	D₄	—	4	1	no	—
638	D₄	—	4	1	no	—
639	D₄	—	4	1	no	—
640	D₄	—	4	1	no	—
641	D₄	—	4	1	no	—
642	D₄	—	4	1	no	—
643	D₄	—	4	1	no	—
644	D₄	—	4	1	no	—
645	D₄	—	8	8	no	—
646	D₄	—	8	8	no	—
647	D₄	—	8	4	no	—
648	C₂×C₄	—	2	2	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	2	no	—
652	C₂×C₄	—	2	2	no	—
653	C₂×C₄	—	2	2	no	—
654	C₂×C₄	—	2	2	no	—
655	C₂×C₄	—	2	2	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	2	no	—
658	C₂×C₄	—	2	2	no	—
659	C₂×C₄	—	4	1	no	—
660	C₂×C₄	—	4	1	no	—
661	C₂×C₄	—	4	1	no	—
662	C₂×C₄	—	4	1	no	—
663	C₂×C₄	—	4	1	no	—
664	C₂×C₄	—	4	1	no	—
665	C₂×C₄	—	4	1	no	—
666	C₂×C₄	—	4	2	no	—
667	C₂×C₄	—	4	2	no	—
668	C₂×C₄	—	4	2	no	—
669	C₂×C₄	—	4	2	no	—
670	C₂×C₄	#127×C₃₇	1	2	yes	—
671	C₂×C₄	AGL(1,ℤ/8)×C₃₇	1	4	yes	—
672	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
673	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
674	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
675	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
676	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
677	C₂×C₄	H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
678	C₈	—	2	2	no	—
679	C₈	—	2	2	no	—
680	C₈	—	2	2	no	—
681	C₈	—	2	2	no	—
682	C₂²	—	2	2	no	—
683	C₂²	—	2	2	no	—
684	C₂²	—	2	2	no	—
685	C₂²	—	4	2	no	—
686	C₂²	—	4	2	no	—
687	C₂²	—	4	2	no	—
688	C₂²	—	4	2	no	—
689	C₂²	—	4	4	no	—
690	C₂²	—	4	4	no	—
691	C₂²	—	8	16	no	—
692	C₂²	—	8	1	no	—
693	C₂²	—	8	1	no	—
694	C₂²	—	8	1	no	—
695	C₂²	—	8	1	no	—
696	C₂²	—	8	2	no	—
697	C₂²	—	8	2	no	—
698	C₂²	—	8	1	no	—
699	C₂²	—	8	1	no	—
700	C₂²	—	8	1	no	—
701	C₂²	—	8	2	no	—
702	C₂²	—	8	2	no	—
703	C₂²	C₂×#127×C₃₇	1	1	yes	characteristic
704	C₂²	C₃₇×#546	1	1	yes	characteristic
705	C₂²	C₃₇×#546	1	1	yes	characteristic
706	C₂²	C₂×AGL(1,ℤ/8)×C₃₇	1	2	yes	—
707	C₂²	C₃₇×#577	1	2	yes	—
708	C₄	—	2	2	no	—
709	C₄	—	2	4	no	—
710	C₄	—	4	2	no	—
711	C₄	—	8	1	no	—
712	C₄	—	8	1	no	—
713	C₄	—	8	1	no	—
714	C₄	—	8	1	no	—
715	C₄	—	8	1	no	—
716	C₄	C₃₇×#525	1	1	yes	characteristic
717	C₄	C₃₇×#534	1	1	yes	characteristic
718	C₄	C₃₇×#546	1	1	yes	characteristic
719	C₄	C₃₇×#546	1	1	yes	characteristic
720	C₂	—	4	2	no	—
721	C₂	—	8	2	no	—
722	C₂	—	8	2	no	—
723	C₂	—	16	1	no	—
724	C₂	C₃₇×#2539	1	1	yes	characteristic
725	C₂	C₃₇×#3151	1	1	yes	characteristic
726	C₂	C₃₇×#3154	1	1	yes	characteristic
727	C₂	C₃₇×#3310	1	2	yes	—
728	C₂	C₃₇×#3324	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃₇
prime radical	C₃₇×#2433	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃₇ ◁ C₄×C₂²⋊C₄×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₇×#482	C₂	semidirect
2. C₂×C₃₇×#468	C₂	semidirect
3. C₂×C₃₇×#450	C₂	semidirect
4. C₂×C₃₇×#418	C₂	semidirect
5. C₃₇×#2499	C₂	semidirect
7. C₃₇×#2093	C₂	semidirect
8. C₃₇×#2092	C₂	semidirect
9. C₃₇×#2014	C₂	semidirect
10. C₃₇×#2014	C₂	semidirect
11. C₃₇×#1973	C₂	semidirect
12. C₃₇×#1968	C₂	semidirect
13. C₃₇×#1961	C₂	semidirect
14. C₃₇×#1957	C₂	semidirect
15. C₃₇×#1753	C₂	semidirect
19. C₂²×SD₁₆×C₃₇	C₂²	semidirect
30. C₂×#107×C₃₇	C₂²	semidirect
31. C₂×#107×C₃₇	C₂²	semidirect
32. C₂×#106×C₃₇	C₂²	semidirect
34. C₂×#103×C₃₇	C₂²	semidirect
41. C₂×#102×C₃₇	C₂²	semidirect
42. C₂×#102×C₃₇	C₂²	semidirect
43. C₂×#102×C₃₇	C₂²	semidirect
45. C₂×#97×C₃₇	C₂²	semidirect
46. C₂×C₄×C₈×C₃₇	C₂²	semidirect
49. C₃₇×#391	C₂²	semidirect
50. C₃₇×#391	C₂²	semidirect
54. C₃₇×#384	C₂²	semidirect
55. C₃₇×#382	C₂²	semidirect
57. C₃₇×#336	C₂²	semidirect
58. C₃₇×#336	C₂²	semidirect
86. C₂×M₁₆×C₃₇	D₄	semidirect
130. C₂²⋊C₈×C₃₇	D₄	semidirect
317. #28365	C₃₇	direct (N × H)
356. C₂×#482	C₂×C₃₇	semidirect
357. C₂×#468	C₂×C₃₇	semidirect
358. C₂×#450	C₂×C₃₇	semidirect
359. C₂×#418	C₂×C₃₇	semidirect
360. #2499	C₂×C₃₇	semidirect
362. #2093	C₂×C₃₇	semidirect
363. #2092	C₂×C₃₇	semidirect
364. #2014	C₂×C₃₇	semidirect
365. #2014	C₂×C₃₇	semidirect
366. #1973	C₂×C₃₇	semidirect
367. #1968	C₂×C₃₇	semidirect
368. #1961	C₂×C₃₇	semidirect
369. #1957	C₂×C₃₇	semidirect
370. #1753	C₂×C₃₇	semidirect
383. C₂²×SD₁₆	C₂²×C₃₇	semidirect
394. C₂×#107	C₂²×C₃₇	semidirect
395. C₂×#107	C₂²×C₃₇	semidirect
396. C₂×#106	C₂²×C₃₇	semidirect
398. C₂×#103	C₂²×C₃₇	semidirect
405. C₂×#102	C₂²×C₃₇	semidirect
406. C₂×#102	C₂²×C₃₇	semidirect
407. C₂×#102	C₂²×C₃₇	semidirect
409. C₂×#97	C₂²×C₃₇	semidirect
410. C₂×C₄×C₈	C₂²×C₃₇	semidirect
413. #391	C₂²×C₃₇	semidirect
414. #391	C₂²×C₃₇	semidirect
418. #384	C₂²×C₃₇	semidirect
419. #382	C₂²×C₃₇	semidirect
421. #336	C₂²×C₃₇	semidirect
422. #336	C₂²×C₃₇	semidirect
423. C₃₇	#28365	direct (N × H)
451. C₂×M₁₆	D₄×C₃₇	semidirect
495. C₂²⋊C₈	D₄×C₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃₇×#482	2
C₂×C₃₇×#468	2
C₂×C₃₇×#450	2
C₂×C₃₇×#418	2
C₃₇×#2499	2
C₃₇×#2433	2
C₃₇×#2093	2
C₃₇×#2092	2
C₃₇×#2014	2
C₃₇×#1973	2
C₃₇×#1968	2
C₃₇×#1961	2
C₃₇×#1957	2
C₃₇×#1753	2
#28365	37

Subgroups — C37×#28365 #22649618

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28365 #22649618