Subgroups — C₃₇×#28535 #22649788

Order 9472.

806 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₇×#499	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃₇×#479	C₂	1	2	yes	maximal
3	C₂×C₄×Q₁₆×C₃₇	C₂	1	1	yes	maximal, characteristic
4	C₃₇×#2565	C₂	1	2	yes	maximal
5	C₃₇×#2097	C₂	1	2	yes	maximal
6	C₃₇×#2096	C₂	1	2	yes	maximal
7	C₃₇×#1969	C₂	1	1	yes	maximal, characteristic
8	C₃₇×#1969	C₂	1	1	yes	maximal, characteristic
9	C₃₇×#1846	C₂	1	1	yes	maximal, characteristic
10	C₃₇×#1845	C₂	1	1	yes	maximal, characteristic
11	C₈×C₄⋊C₄×C₃₇	C₂	1	1	yes	maximal, characteristic
12	C₂²×Q₁₆×C₃₇	C₂²	1	1	yes	characteristic
13	C₂×#125×C₃₇	C₂²	1	2	yes	—
14	C₂×C₄×Q₈×C₃₇	C₂²	1	2	yes	—
15	C₃₇×#499	—	2	4	no	—
16	C₃₇×#479	—	2	8	no	—
17	C₄×Q₁₆×C₃₇	—	2	4	no	—
18	C₂×#107×C₃₇	C₂²	1	2	yes	—
19	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic
20	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic
21	C₂×#107×C₃₇	C₂²	1	1	yes	characteristic
22	C₂×#106×C₃₇	C₂²	1	2	yes	—
23	C₂×#106×C₃₇	C₂²	1	2	yes	—
24	C₂×C₄⋊C₈×C₃₇	C₂²	1	1	yes	characteristic
25	C₂×#103×C₃₇	C₂²	1	2	yes	—
26	C₂×#103×C₃₇	C₂²	1	2	yes	—
27	C₂×#103×C₃₇	C₂²	1	2	yes	—
28	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
29	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₈×C₃₇	C₂²	1	1	yes	characteristic
31	C₃₇×#398	—	2	4	no	—
32	C₃₇×#391	C₂²	1	2	yes	—
33	C₃₇×#391	C₂²	1	2	yes	—
34	C₃₇×#387	—	2	4	no	—
35	C₃₇×#384	C₂²	1	2	yes	—
36	C₃₇×#382	C₂²	1	2	yes	—
37	C₄×C₄⋊C₄×C₃₇	C₂²	1	1	yes	characteristic
38	C₃₇×#336	C₂²	1	1	yes	characteristic
39	C₃₇×#336	C₂²	1	1	yes	characteristic
40	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
41	C₂×Q₁₆×C₃₇	—	2	2	no	—
42	C₂×Q₁₆×C₃₇	—	2	2	no	—
43	C₂×Q₁₆×C₃₇	Q₈	1	4	yes	—
44	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
45	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
46	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
47	C₂²×C₈×C₃₇	C₂³	1	1	yes	characteristic
48	#125×C₃₇	—	2	4	no	—
49	#125×C₃₇	—	2	4	no	—
50	C₄×Q₈×C₃₇	—	2	4	no	—
51	C₄×Q₈×C₃₇	—	2	4	no	—
52	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
53	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
54	C₂×C₄⋊C₄×C₃₇	—	2	4	no	—
55	C₂×C₄⋊C₄×C₃₇	—	2	2	no	—
56	C₂×C₄⋊C₄×C₃₇	D₄	1	2	yes	—
57	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
58	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
59	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
60	C₂×C₄²×C₃₇	—	2	2	no	—
61	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
62	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
63	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
64	#107×C₃₇	—	2	2	no	—
65	#107×C₃₇	—	2	4	no	—
66	#107×C₃₇	—	2	2	no	—
67	#107×C₃₇	—	2	2	no	—
68	#106×C₃₇	—	2	4	no	—
69	#106×C₃₇	—	2	4	no	—
70	C₄⋊C₈×C₃₇	D₄	1	4	yes	—
71	#103×C₃₇	—	2	4	no	—
72	#103×C₃₇	—	2	4	no	—
73	#103×C₃₇	—	2	4	no	—
74	C₄×C₈×C₃₇	—	2	2	no	—
75	C₄×C₈×C₃₇	—	2	2	no	—
76	C₄×C₈×C₃₇	D₄	1	4	yes	—
77	#95×C₃₇	—	2	4	no	—
78	#95×C₃₇	—	2	4	no	—
79	#95×C₃₇	—	2	4	no	—
80	#95×C₃₇	D₄	1	2	yes	—
81	C₂×Q₈×C₃₇	—	2	2	no	—
82	C₂×Q₈×C₃₇	—	2	2	no	—
83	C₂×Q₈×C₃₇	—	2	2	no	—
84	C₂×Q₈×C₃₇	—	2	2	no	—
85	C₂×Q₈×C₃₇	—	2	2	no	—
86	C₂×Q₈×C₃₇	C₂×Q₈	1	4	yes	—
87	C₂²×C₄×C₃₇	—	2	2	no	—
88	C₂²×C₄×C₃₇	—	2	2	no	—
89	C₂²×C₄×C₃₇	—	2	2	no	—
90	C₂²×C₄×C₃₇	—	2	2	no	—
91	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
95	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
96	Q₁₆×C₃₇	—	2	8	no	—
97	C₂×C₈×C₃₇	—	2	1	no	—
98	C₂×C₈×C₃₇	—	2	1	no	—
99	C₂×C₈×C₃₇	—	2	1	no	—
100	C₂×C₈×C₃₇	—	2	1	no	—
101	C₂×C₈×C₃₇	—	2	1	no	—
102	C₂×C₈×C₃₇	—	2	1	no	—
103	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
104	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
105	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
106	C₂×C₈×C₃₇	C₂×D₄	1	2	yes	—
107	C₂×C₈×C₃₇	C₂×Q₈	1	2	yes	—
108	C₂×C₈×C₃₇	#41	1	2	yes	—
109	C₄⋊C₄×C₃₇	—	2	4	no	—
110	C₄⋊C₄×C₃₇	—	2	2	no	—
111	C₄⋊C₄×C₃₇	—	2	2	no	—
112	C₄⋊C₄×C₃₇	—	2	2	no	—
113	C₄⋊C₄×C₃₇	—	2	2	no	—
114	C₄⋊C₄×C₃₇	—	2	2	no	—
115	C₄⋊C₄×C₃₇	—	2	2	no	—
116	C₄⋊C₄×C₃₇	—	4	4	no	—
117	C₄⋊C₄×C₃₇	—	4	4	no	—
118	C₄⋊C₄×C₃₇	—	4	4	no	—
119	C₄⋊C₄×C₃₇	—	4	8	no	—
120	C₄²×C₃₇	—	2	1	no	—
121	C₄²×C₃₇	—	2	1	no	—
122	C₄²×C₃₇	—	2	1	no	—
123	C₄²×C₃₇	—	2	1	no	—
124	C₄²×C₃₇	—	4	4	no	—
125	C₄²×C₃₇	C₂×D₄	1	2	yes	—
126	C₄²×C₃₇	C₂×D₄	1	2	yes	—
127	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
128	Q₈×C₃₇	—	2	4	no	—
129	Q₈×C₃₇	—	2	4	no	—
130	Q₈×C₃₇	—	4	2	no	—
131	Q₈×C₃₇	—	4	2	no	—
132	C₂×C₄×C₃₇	—	2	2	no	—
133	C₂×C₄×C₃₇	—	2	2	no	—
134	C₂×C₄×C₃₇	—	2	2	no	—
135	C₂×C₄×C₃₇	—	2	2	no	—
136	C₂×C₄×C₃₇	—	2	2	no	—
137	C₂×C₄×C₃₇	—	2	4	no	—
138	C₂×C₄×C₃₇	—	2	2	no	—
139	C₂×C₄×C₃₇	—	2	2	no	—
140	C₂×C₄×C₃₇	—	4	2	no	—
141	C₂×C₄×C₃₇	—	4	2	no	—
142	C₂×C₄×C₃₇	—	4	2	no	—
143	C₂×C₄×C₃₇	—	4	2	no	—
144	C₂×C₄×C₃₇	—	4	2	no	—
145	C₂×C₄×C₃₇	—	4	4	no	—
146	C₂×C₄×C₃₇	—	4	4	no	—
147	C₂×C₄×C₃₇	—	4	4	no	—
148	C₂×C₄×C₃₇	#127	1	2	yes	—
149	C₂×C₄×C₃₇	#127	1	2	yes	—
150	C₂×C₄×C₃₇	#135	1	4	yes	—
151	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
153	C₂×C₄×C₃₇	C₂²×Q₈	1	1	yes	characteristic
154	C₂×C₄×C₃₇	C₂×#41	1	1	yes	characteristic
155	C₂×C₄×C₃₇	2₋¹⁺⁴	1	1	yes	characteristic
156	C₂×C₄×C₃₇	2₋¹⁺⁴	1	1	yes	characteristic
157	C₈×C₃₇	—	2	2	no	—
158	C₈×C₃₇	—	2	2	no	—
159	C₈×C₃₇	—	2	2	no	—
160	C₈×C₃₇	C₂²⋊Q₈	1	4	yes	—
161	#28535	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
162	C₂²×C₃₇	C₂×#127	1	1	yes	characteristic
163	C₂²×C₃₇	#547	1	1	yes	characteristic
164	C₂²×C₃₇	D₄×Q₈	1	1	yes	characteristic
165	C₂²×C₃₇	C₂×#135	1	2	yes	—
166	C₂²×C₃₇	#578	1	2	yes	—
167	C₄×C₃₇	—	2	4	no	—
168	C₄×C₃₇	—	2	2	no	—
169	C₄×C₃₇	—	2	2	no	—
170	C₄×C₃₇	—	4	2	no	—
171	C₄×C₃₇	—	4	4	no	—
172	C₄×C₃₇	—	8	2	no	—
173	C₄×C₃₇	—	8	2	no	—
174	C₄×C₃₇	—	8	2	no	—
175	C₄×C₃₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
176	C₄×C₃₇	#536	1	1	yes	characteristic
177	C₄×C₃₇	#547	1	1	yes	characteristic
178	C₄×C₃₇	D₄×Q₈	1	1	yes	characteristic
179	C₂×#499	C₂×C₃₇	1	1	yes	characteristic
180	C₂×#479	C₂×C₃₇	1	2	yes	—
181	C₂×C₄×Q₁₆	C₂×C₃₇	1	1	yes	characteristic
182	#2565	C₂×C₃₇	1	2	yes	—
183	#2097	C₂×C₃₇	1	2	yes	—
184	#2096	C₂×C₃₇	1	2	yes	—
185	#1969	C₂×C₃₇	1	1	yes	characteristic
186	#1969	C₂×C₃₇	1	1	yes	characteristic
187	#1846	C₂×C₃₇	1	1	yes	characteristic
188	#1845	C₂×C₃₇	1	1	yes	characteristic
189	C₈×C₄⋊C₄	C₂×C₃₇	1	1	yes	characteristic
190	C₂×C₃₇	#2542	1	1	yes	characteristic
191	C₂×C₃₇	#3147	1	1	yes	characteristic
192	C₂×C₃₇	#3156	1	1	yes	characteristic
193	C₂×C₃₇	#3336	1	2	yes	—
194	C₂×C₃₇	#3383	1	2	yes	—
195	C₂²×Q₁₆	C₂²×C₃₇	1	1	yes	characteristic
196	C₂×#125	C₂²×C₃₇	1	2	yes	—
197	C₂×C₄×Q₈	C₂²×C₃₇	1	2	yes	—
198	#499	—	2	4	no	—
199	#479	—	2	8	no	—
200	C₄×Q₁₆	—	2	4	no	—
201	C₂×#107	C₂²×C₃₇	1	2	yes	—
202	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic
203	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic
204	C₂×#107	C₂²×C₃₇	1	1	yes	characteristic
205	C₂×#106	C₂²×C₃₇	1	2	yes	—
206	C₂×#106	C₂²×C₃₇	1	2	yes	—
207	C₂×C₄⋊C₈	C₂²×C₃₇	1	1	yes	characteristic
208	C₂×#103	C₂²×C₃₇	1	2	yes	—
209	C₂×#103	C₂²×C₃₇	1	2	yes	—
210	C₂×#103	C₂²×C₃₇	1	2	yes	—
211	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
212	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
213	C₂×C₄×C₈	C₂²×C₃₇	1	1	yes	characteristic
214	#398	—	2	4	no	—
215	#391	C₂²×C₃₇	1	2	yes	—
216	#391	C₂²×C₃₇	1	2	yes	—
217	#387	—	2	4	no	—
218	#384	C₂²×C₃₇	1	2	yes	—
219	#382	C₂²×C₃₇	1	2	yes	—
220	C₄×C₄⋊C₄	C₂²×C₃₇	1	1	yes	characteristic
221	#336	C₂²×C₃₇	1	1	yes	characteristic
222	#336	C₂²×C₃₇	1	1	yes	characteristic
223	C₃₇	#28535	1	1	yes	characteristic, direct product factor, Sylow
224	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
225	C₂×Q₁₆	—	2	2	no	—
226	C₂×Q₁₆	—	2	2	no	—
227	C₂×Q₁₆	Q₈×C₃₇	1	4	yes	—
228	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
229	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
230	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
231	C₂²×C₈	C₂³×C₃₇	1	1	yes	characteristic
232	#125	—	2	4	no	—
233	#125	—	2	4	no	—
234	C₄×Q₈	—	2	4	no	—
235	C₄×Q₈	—	2	4	no	—
236	C₂×C₄⋊C₄	—	2	2	no	—
237	C₂×C₄⋊C₄	—	2	2	no	—
238	C₂×C₄⋊C₄	—	2	2	no	—
239	C₂×C₄⋊C₄	—	2	4	no	—
240	C₂×C₄⋊C₄	D₄×C₃₇	1	2	yes	—
241	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
242	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
243	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
244	C₂×C₄²	—	2	2	no	—
245	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
246	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
247	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
248	#107	—	2	2	no	—
249	#107	—	2	4	no	—
250	#107	—	2	2	no	—
251	#107	—	2	2	no	—
252	#106	—	2	4	no	—
253	#106	—	2	4	no	—
254	C₄⋊C₈	D₄×C₃₇	1	4	yes	—
255	#103	—	2	4	no	—
256	#103	—	2	4	no	—
257	#103	—	2	4	no	—
258	C₄×C₈	—	2	2	no	—
259	C₄×C₈	—	2	2	no	—
260	C₄×C₈	D₄×C₃₇	1	4	yes	—
261	#95	—	2	4	no	—
262	#95	—	2	4	no	—
263	#95	—	2	4	no	—
264	#95	D₄×C₃₇	1	2	yes	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	2	2	no	—
270	C₂×Q₈	C₂×Q₈×C₃₇	1	4	yes	—
271	C₂²×C₄	—	2	2	no	—
272	C₂²×C₄	—	2	2	no	—
273	C₂²×C₄	—	2	2	no	—
274	C₂²×C₄	—	2	2	no	—
275	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
276	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
277	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
278	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
279	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
280	Q₁₆	—	2	8	no	—
281	C₂×C₈	—	2	1	no	—
282	C₂×C₈	—	2	1	no	—
283	C₂×C₈	—	2	1	no	—
284	C₂×C₈	—	2	1	no	—
285	C₂×C₈	—	2	1	no	—
286	C₂×C₈	—	2	1	no	—
287	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
288	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
289	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
290	C₂×C₈	C₂×D₄×C₃₇	1	2	yes	—
291	C₂×C₈	C₂×Q₈×C₃₇	1	2	yes	—
292	C₂×C₈	#41×C₃₇	1	2	yes	—
293	C₄⋊C₄	—	2	4	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	2	no	—
300	C₄⋊C₄	—	4	4	no	—
301	C₄⋊C₄	—	4	4	no	—
302	C₄⋊C₄	—	4	4	no	—
303	C₄⋊C₄	—	4	8	no	—
304	C₄²	—	2	1	no	—
305	C₄²	—	2	1	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	—	4	4	no	—
309	C₄²	C₂×D₄×C₃₇	1	2	yes	—
310	C₄²	C₂×D₄×C₃₇	1	2	yes	—
311	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
312	Q₈	—	2	4	no	—
313	Q₈	—	2	4	no	—
314	Q₈	—	4	2	no	—
315	Q₈	—	4	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	4	no	—
322	C₂×C₄	—	2	2	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	4	2	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	—	4	2	no	—
329	C₂×C₄	—	4	4	no	—
330	C₂×C₄	—	4	4	no	—
331	C₂×C₄	—	4	4	no	—
332	C₂×C₄	#127×C₃₇	1	2	yes	—
333	C₂×C₄	#127×C₃₇	1	2	yes	—
334	C₂×C₄	#135×C₃₇	1	4	yes	—
335	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
336	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
337	C₂×C₄	C₂²×Q₈×C₃₇	1	1	yes	characteristic
338	C₂×C₄	C₂×#41×C₃₇	1	1	yes	characteristic
339	C₂×C₄	2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
340	C₂×C₄	2₋¹⁺⁴×C₃₇	1	1	yes	characteristic
341	C₈	—	2	2	no	—
342	C₈	—	2	2	no	—
343	C₈	—	2	2	no	—
344	C₈	C₂²⋊Q₈×C₃₇	1	4	yes	—
345	C₂²	C₂×#127×C₃₇	1	1	yes	characteristic
346	C₂²	C₃₇×#547	1	1	yes	characteristic
347	C₂²	D₄×Q₈×C₃₇	1	1	yes	characteristic
348	C₂²	C₂×#135×C₃₇	1	2	yes	—
349	C₂²	C₃₇×#578	1	2	yes	—
350	C₄	—	2	2	no	—
351	C₄	—	2	2	no	—
352	C₄	—	2	4	no	—
353	C₄	—	4	4	no	—
354	C₄	—	4	2	no	—
355	C₄	—	8	2	no	—
356	C₄	—	8	2	no	—
357	C₄	—	8	2	no	—
358	C₄	C₂×C₂²⋊Q₈×C₃₇	1	1	yes	characteristic
359	C₄	C₃₇×#536	1	1	yes	characteristic
360	C₄	C₃₇×#547	1	1	yes	characteristic
361	C₄	D₄×Q₈×C₃₇	1	1	yes	characteristic
362	C₂	C₃₇×#2542	1	1	yes	characteristic
363	C₂	C₃₇×#3147	1	1	yes	characteristic
364	C₂	C₃₇×#3156	1	1	yes	characteristic
365	C₂	C₃₇×#3336	1	2	yes	—
366	C₂	C₃₇×#3383	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
161. #28535	C₃₇	direct (N × H)
223. C₃₇	#28535	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃₇×#499	2
C₂×C₃₇×#479	2
C₂×C₄×Q₁₆×C₃₇	2
C₃₇×#2565	2
C₃₇×#2097	2
C₃₇×#2096	2
C₃₇×#1969	2
C₃₇×#1846	2
C₃₇×#1845	2
C₈×C₄⋊C₄×C₃₇	2
#28535	37

Subgroups — C37×#28535 #22649788

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#28535 #22649788