Subgroups — C₃₇×#61674 #22682927

Order 9472.

2032 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3550	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₇×#3500	C₂	1	1	yes	maximal, characteristic
3	C₃₇×#3313	C₂	1	4	yes	maximal, complemented
4	C₃₇×#3311	C₂	1	4	yes	maximal, complemented
5	C₃₇×#3270	C₂	1	4	yes	maximal, complemented
6	C₃₇×#3266	C₂	1	4	yes	maximal, complemented
7	C₃₇×#3215	C₂	1	2	yes	maximal, complemented
8	C₃₇×#3202	C₂	1	2	yes	maximal, complemented
9	C₃₇×#3200	C₂	1	2	yes	maximal, complemented
10	C₃₇×#3116	C₂	1	2	yes	maximal, complemented
11	C₃₇×#3011	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3009	C₂	1	2	yes	maximal, complemented
13	C₃₇×#2980	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×2₋¹⁺⁴×C₃₇	C₂²	1	1	yes	characteristic
15	C₂×H(5,𝔽₂)×C₃₇	C₂²	1	1	yes	characteristic
16	C₂×#137×C₃₇	C₂²	1	2	yes	—
17	C₂×#137×C₃₇	C₂²	1	2	yes	complemented
18	C₂²×Q₁₆×C₃₇	C₂²	1	2	yes	complemented
19	C₂²×SD₁₆×C₃₇	C₂²	1	2	yes	—
20	C₃₇×#563	—	2	1	no	—
21	C₃₇×#563	—	2	1	no	—
22	C₃₇×#559	—	2	1	no	—
23	Q₈²×C₃₇	—	2	1	no	—
24	C₃₇×#556	C₂²	1	4	yes	complemented
25	D₄×Q₈×C₃₇	C₂²	1	4	yes	complemented
26	C₃₇×#548	C₂²	1	4	yes	—
27	C₃₇×#546	—	2	4	no	—
28	C₃₇×#546	C₂²	1	4	yes	—
29	C₃₇×#542	—	2	4	no	—
30	C₃₇×#536	—	2	1	no	—
31	C₃₇×#536	C₂²	1	1	yes	characteristic
32	C₃₇×#536	C₂²	1	2	yes	—
33	C₃₇×#536	C₂²	1	2	yes	complemented
34	C₃₇×#535	—	2	1	no	—
35	C₃₇×#535	C₂²	1	1	yes	characteristic
36	C₃₇×#533	C₂²	1	2	yes	complemented
37	C₃₇×#532	—	2	1	no	—
38	C₃₇×#532	C₂²	1	1	yes	characteristic
39	C₂×#124×C₃₇	—	2	1	no	—
40	C₂×#124×C₃₇	C₂²	1	1	yes	characteristic
41	C₄×#41×C₃₇	C₂²	1	1	yes	characteristic
42	C₃₇×#497	C₂²	1	4	yes	complemented
43	C₃₇×#489	C₂²	1	4	yes	complemented
44	C₃₇×#485	C₂²	1	4	yes	complemented
45	C₃₇×#485	C₂²	1	4	yes	complemented
46	C₃₇×#482	C₂²	1	4	yes	complemented
47	C₃₇×#477	C₂²	1	2	yes	complemented
48	C₃₇×#476	C₂²	1	2	yes	complemented
49	C₃₇×#470	C₂²	1	4	yes	complemented
50	C₃₇×#468	C₂²	1	4	yes	complemented
51	C₃₇×#467	C₂²	1	4	yes	complemented
52	C₃₇×#465	C₂²	1	4	yes	complemented
53	C₃₇×#464	C₂²	1	4	yes	complemented
54	C₃₇×#464	C₂²	1	4	yes	complemented
55	C₃₇×#462	C₂²	1	2	yes	complemented
56	C₃₇×#461	C₂²	1	2	yes	complemented
57	C₃₇×#452	C₂²	1	4	yes	—
58	C₃₇×#452	C₂²	1	4	yes	—
59	C₃₇×#452	C₂²	1	4	yes	complemented
60	C₃₇×#451	C₂²	1	4	yes	complemented
61	C₃₇×#451	C₂²	1	4	yes	complemented
62	C₃₇×#451	C₂²	1	4	yes	complemented
63	C₃₇×#450	C₂²	1	4	yes	—
64	C₃₇×#450	C₂²	1	4	yes	—
65	C₃₇×#448	C₂²	1	4	yes	complemented
66	C₃₇×#441	C₂²	1	4	yes	complemented
67	C₃₇×#440	C₂²	1	4	yes	complemented
68	C₃₇×#435	C₂²	1	4	yes	complemented
69	C₃₇×#435	C₂²	1	4	yes	complemented
70	C₃₇×#432	C₂²	1	2	yes	complemented
71	C₃₇×#419	C₂²	1	2	yes	complemented
72	C₃₇×#418	C₂²	1	2	yes	—
73	C₃₇×#416	C₂²	1	2	yes	—
74	C₃₇×#416	C₂²	1	2	yes	complemented
75	C₃₇×#408	C₂²	1	2	yes	—
76	C₃₇×#408	C₂²	1	2	yes	complemented
77	2₋¹⁺⁴×C₃₇	—	4	2	no	—
78	2₋¹⁺⁴×C₃₇	—	4	2	no	—
79	H(5,𝔽₂)×C₃₇	—	4	2	no	—
80	H(5,𝔽₂)×C₃₇	—	4	2	no	—
81	C₂×#41×C₃₇	—	2	1	no	—
82	C₂×#41×C₃₇	—	2	1	no	—
83	C₂×#41×C₃₇	—	2	2	no	—
84	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
85	C₂×#41×C₃₇	C₂³	1	2	yes	—
86	C₂×#41×C₃₇	C₂³	1	2	yes	—
87	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
88	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
89	C₂²×Q₈×C₃₇	—	2	1	no	—
90	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
91	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
92	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
93	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
94	C₂²×D₄×C₃₇	—	2	1	no	—
95	C₂²×D₄×C₃₇	—	2	2	no	—
96	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
97	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
98	#137×C₃₇	—	4	4	no	—
99	#137×C₃₇	—	4	4	no	—
100	C₂×Q₁₆×C₃₇	—	4	4	no	—
101	C₂×Q₁₆×C₃₇	C₂³	1	4	yes	—
102	C₂×Q₁₆×C₃₇	C₂³	1	4	yes	—
103	C₂×Q₁₆×C₃₇	C₂³	1	4	yes	—
104	C₂×SD₁₆×C₃₇	—	4	4	no	—
105	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
106	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
107	C₂×SD₁₆×C₃₇	C₂³	1	4	yes	—
108	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
109	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
110	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
111	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
112	C₄⋊Q₈×C₃₇	—	2	1	no	—
113	C₄⋊Q₈×C₃₇	—	2	2	no	—
114	C₄⋊Q₈×C₃₇	—	2	2	no	—
115	C₄⋊Q₈×C₃₇	—	2	4	no	—
116	C₄⋊Q₈×C₃₇	D₄	1	1	yes	characteristic
117	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
118	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
119	#127×C₃₇	—	2	1	no	—
120	#127×C₃₇	D₄	1	1	yes	characteristic
121	#126×C₃₇	—	2	4	no	—
122	#126×C₃₇	—	2	4	no	—
123	#125×C₃₇	—	2	2	no	—
124	#124×C₃₇	—	2	1	no	—
125	#124×C₃₇	—	2	1	no	—
126	#124×C₃₇	—	2	2	no	—
127	#124×C₃₇	—	2	2	no	—
128	#124×C₃₇	—	2	4	no	—
129	#124×C₃₇	—	2	4	no	—
130	#124×C₃₇	—	2	1	no	—
131	#124×C₃₇	—	2	1	no	—
132	#124×C₃₇	D₄	1	1	yes	characteristic
133	#124×C₃₇	D₄	1	1	yes	characteristic
134	#124×C₃₇	C₂³	1	4	yes	—
135	#123×C₃₇	—	2	2	no	—
136	#123×C₃₇	—	2	2	no	—
137	#123×C₃₇	—	2	2	no	—
138	#123×C₃₇	—	2	2	no	—
139	#123×C₃₇	—	2	2	no	—
140	#123×C₃₇	—	2	4	no	—
141	C₂²⋊Q₈×C₃₇	—	2	2	no	—
142	C₂²⋊Q₈×C₃₇	—	2	4	no	—
143	C₂²⋊Q₈×C₃₇	—	2	4	no	—
144	C₂²⋊Q₈×C₃₇	—	2	4	no	—
145	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
146	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
147	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
148	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
149	#121×C₃₇	—	2	4	no	—
150	#121×C₃₇	—	2	4	no	—
151	#121×C₃₇	D₄	1	4	yes	—
152	#121×C₃₇	C₂³	1	4	yes	—
153	#120×C₃₇	—	2	4	no	—
154	#120×C₃₇	—	2	2	no	—
155	C₄×Q₈×C₃₇	—	2	4	no	—
156	C₄×Q₈×C₃₇	—	2	2	no	—
157	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
158	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
159	C₄×D₄×C₃₇	—	2	4	no	—
160	C₄×D₄×C₃₇	—	2	2	no	—
161	C₄×D₄×C₃₇	—	2	4	no	—
162	C₄×D₄×C₃₇	C₂³	1	2	yes	—
163	C₄×D₄×C₃₇	C₂³	1	4	yes	—
164	#117×C₃₇	—	2	2	no	—
165	#117×C₃₇	—	2	1	no	—
166	#117×C₃₇	C₂³	1	1	yes	characteristic
167	#117×C₃₇	C₂³	1	2	yes	—
168	#117×C₃₇	C₂³	1	2	yes	—
169	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
170	C₂×C₂²⋊C₄×C₃₇	—	2	4	no	—
171	C₂×C₄²×C₃₇	—	2	1	no	—
172	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
173	#107×C₃₇	C₂³	1	4	yes	—
174	#106×C₃₇	C₂³	1	4	yes	—
175	C₄⋊C₈×C₃₇	C₂³	1	2	yes	—
176	C₄⋊C₈×C₃₇	C₂³	1	2	yes	—
177	#103×C₃₇	C₂³	1	4	yes	—
178	#103×C₃₇	C₂³	1	4	yes	—
179	#103×C₃₇	C₂³	1	4	yes	—
180	#103×C₃₇	C₂³	1	4	yes	—
181	#103×C₃₇	C₂³	1	4	yes	—
182	#102×C₃₇	C₂³	1	4	yes	—
183	#102×C₃₇	C₂³	1	4	yes	—
184	#102×C₃₇	C₂³	1	4	yes	—
185	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
186	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
187	C₂²⋊C₈×C₃₇	C₂³	1	4	yes	—
188	#97×C₃₇	C₂³	1	4	yes	—
189	C₂⁴×C₃₇	—	2	2	no	—
190	C₂⁴×C₃₇	—	2	1	no	—
191	#41×C₃₇	—	2	2	no	—
192	#41×C₃₇	—	2	2	no	—
193	#41×C₃₇	—	2	4	no	—
194	#41×C₃₇	—	2	4	no	—
195	#41×C₃₇	—	4	1	no	—
196	#41×C₃₇	—	4	1	no	—
197	#41×C₃₇	—	4	1	no	—
198	#41×C₃₇	—	4	1	no	—
199	#41×C₃₇	—	4	2	no	—
200	#41×C₃₇	—	4	2	no	—
201	#41×C₃₇	—	4	4	no	—
202	#41×C₃₇	—	4	4	no	—
203	#41×C₃₇	—	4	8	no	—
204	C₂×Q₈×C₃₇	—	2	2	no	—
205	C₂×Q₈×C₃₇	—	2	2	no	—
206	C₂×Q₈×C₃₇	—	2	1	no	—
207	C₂×Q₈×C₃₇	—	2	2	no	—
208	C₂×Q₈×C₃₇	—	2	2	no	—
209	C₂×Q₈×C₃₇	—	2	4	no	—
210	C₂×Q₈×C₃₇	—	4	2	no	—
211	C₂×Q₈×C₃₇	—	4	1	no	—
212	C₂×Q₈×C₃₇	—	4	1	no	—
213	C₂×Q₈×C₃₇	—	4	4	no	—
214	C₂×Q₈×C₃₇	—	4	2	no	—
215	C₂×Q₈×C₃₇	—	4	2	no	—
216	C₂×Q₈×C₃₇	—	4	2	no	—
217	C₂×Q₈×C₃₇	—	4	2	no	—
218	C₂×Q₈×C₃₇	C₂×D₄	1	1	yes	characteristic
219	C₂×Q₈×C₃₇	C₂×D₄	1	1	yes	characteristic
220	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
221	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
222	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
223	C₂×D₄×C₃₇	—	2	1	no	—
224	C₂×D₄×C₃₇	—	2	4	no	—
225	C₂×D₄×C₃₇	—	2	2	no	—
226	C₂×D₄×C₃₇	—	2	2	no	—
227	C₂×D₄×C₃₇	—	2	4	no	—
228	C₂×D₄×C₃₇	—	2	2	no	—
229	C₂×D₄×C₃₇	—	2	1	no	—
230	C₂×D₄×C₃₇	—	4	2	no	—
231	C₂×D₄×C₃₇	—	4	1	no	—
232	C₂×D₄×C₃₇	—	4	1	no	—
233	C₂×D₄×C₃₇	—	4	4	no	—
234	C₂×D₄×C₃₇	—	4	8	no	—
235	C₂×D₄×C₃₇	C₂×D₄	1	4	yes	—
236	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
237	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
238	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
239	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
240	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
241	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
242	C₂²×C₄×C₃₇	—	2	1	no	—
243	C₂²×C₄×C₃₇	—	2	1	no	—
244	C₂²×C₄×C₃₇	—	2	2	no	—
245	C₂²×C₄×C₃₇	—	2	2	no	—
246	C₂²×C₄×C₃₇	—	2	2	no	—
247	C₂²×C₄×C₃₇	—	2	2	no	—
248	C₂²×C₄×C₃₇	—	2	2	no	—
249	C₂²×C₄×C₃₇	—	2	2	no	—
250	C₂²×C₄×C₃₇	C₂×D₄	1	2	yes	—
251	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
252	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
253	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
254	Q₁₆×C₃₇	—	2	8	no	—
255	Q₁₆×C₃₇	—	4	4	no	—
256	Q₁₆×C₃₇	—	4	4	no	—
257	SD₁₆×C₃₇	—	2	8	no	—
258	SD₁₆×C₃₇	—	4	4	no	—
259	SD₁₆×C₃₇	—	4	4	no	—
260	M₁₆×C₃₇	—	4	2	no	—
261	M₁₆×C₃₇	—	4	2	no	—
262	C₂×C₈×C₃₇	—	4	2	no	—
263	C₂×C₈×C₃₇	—	4	2	no	—
264	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
265	C₂×C₈×C₃₇	C₂⁴	1	4	yes	—
266	C₄⋊C₄×C₃₇	—	2	2	no	—
267	C₄⋊C₄×C₃₇	—	2	2	no	—
268	C₄⋊C₄×C₃₇	—	2	2	no	—
269	C₄⋊C₄×C₃₇	—	2	2	no	—
270	C₄⋊C₄×C₃₇	—	2	4	no	—
271	C₄⋊C₄×C₃₇	—	2	4	no	—
272	C₄⋊C₄×C₃₇	—	2	4	no	—
273	C₄⋊C₄×C₃₇	—	2	4	no	—
274	C₄⋊C₄×C₃₇	—	2	4	no	—
275	C₄⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
276	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
277	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
278	C₂²⋊C₄×C₃₇	—	2	4	no	—
279	C₂²⋊C₄×C₃₇	—	2	4	no	—
280	C₂²⋊C₄×C₃₇	—	2	1	no	—
281	C₂²⋊C₄×C₃₇	—	2	2	no	—
282	C₂²⋊C₄×C₃₇	—	2	2	no	—
283	C₂²⋊C₄×C₃₇	—	2	4	no	—
284	C₂²⋊C₄×C₃₇	—	2	4	no	—
285	C₂²⋊C₄×C₃₇	—	2	4	no	—
286	C₂²⋊C₄×C₃₇	—	2	4	no	—
287	C₂²⋊C₄×C₃₇	—	2	4	no	—
288	C₂²⋊C₄×C₃₇	—	2	2	no	—
289	C₂²⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
290	C₂²⋊C₄×C₃₇	C₂×D₄	1	4	yes	—
291	C₄²×C₃₇	—	2	1	no	—
292	C₄²×C₃₇	—	2	2	no	—
293	C₄²×C₃₇	—	2	4	no	—
294	C₄²×C₃₇	—	2	2	no	—
295	C₄²×C₃₇	—	2	2	no	—
296	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
297	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
298	C₄²×C₃₇	C₂⁴	1	2	yes	—
299	C₂³×C₃₇	—	2	1	no	—
300	C₂³×C₃₇	—	2	2	no	—
301	C₂³×C₃₇	—	4	4	no	—
302	C₂³×C₃₇	—	4	2	no	—
303	C₂³×C₃₇	—	8	2	no	—
304	C₂³×C₃₇	—	8	4	no	—
305	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
306	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
307	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
308	Q₈×C₃₇	—	2	1	no	—
309	Q₈×C₃₇	—	2	4	no	—
310	Q₈×C₃₇	—	2	4	no	—
311	Q₈×C₃₇	—	2	2	no	—
312	Q₈×C₃₇	—	2	2	no	—
313	Q₈×C₃₇	—	4	1	no	—
314	Q₈×C₃₇	—	4	1	no	—
315	Q₈×C₃₇	—	4	4	no	—
316	Q₈×C₃₇	—	4	4	no	—
317	Q₈×C₃₇	—	4	2	no	—
318	Q₈×C₃₇	—	8	2	no	—
319	Q₈×C₃₇	—	8	2	no	—
320	Q₈×C₃₇	H(5,𝔽₂)	1	2	yes	—
321	D₄×C₃₇	—	2	4	no	—
322	D₄×C₃₇	—	2	1	no	—
323	D₄×C₃₇	—	2	2	no	—
324	D₄×C₃₇	—	2	2	no	—
325	D₄×C₃₇	—	4	1	no	—
326	D₄×C₃₇	—	4	2	no	—
327	D₄×C₃₇	—	4	4	no	—
328	D₄×C₃₇	—	4	1	no	—
329	D₄×C₃₇	—	4	2	no	—
330	D₄×C₃₇	—	4	4	no	—
331	D₄×C₃₇	—	4	4	no	—
332	D₄×C₃₇	—	4	2	no	—
333	D₄×C₃₇	—	4	4	no	—
334	D₄×C₃₇	—	8	4	no	—
335	D₄×C₃₇	H(5,𝔽₂)	1	2	yes	—
336	C₂×C₄×C₃₇	—	2	4	no	—
337	C₂×C₄×C₃₇	—	2	1	no	—
338	C₂×C₄×C₃₇	—	2	2	no	—
339	C₂×C₄×C₃₇	—	2	2	no	—
340	C₂×C₄×C₃₇	—	2	2	no	—
341	C₂×C₄×C₃₇	—	2	2	no	—
342	C₂×C₄×C₃₇	—	2	1	no	—
343	C₂×C₄×C₃₇	—	2	1	no	—
344	C₂×C₄×C₃₇	—	2	4	no	—
345	C₂×C₄×C₃₇	—	2	2	no	—
346	C₂×C₄×C₃₇	—	2	4	no	—
347	C₂×C₄×C₃₇	—	2	2	no	—
348	C₂×C₄×C₃₇	—	4	2	no	—
349	C₂×C₄×C₃₇	—	4	4	no	—
350	C₂×C₄×C₃₇	—	4	4	no	—
351	C₂×C₄×C₃₇	—	4	4	no	—
352	C₂×C₄×C₃₇	—	4	2	no	—
353	C₂×C₄×C₃₇	—	8	2	no	—
354	C₂×C₄×C₃₇	—	8	2	no	—
355	C₂×C₄×C₃₇	—	8	2	no	—
356	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
357	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
358	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
359	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
360	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
361	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
362	C₈×C₃₇	—	2	4	no	—
363	C₈×C₃₇	—	2	4	no	—
364	#61674	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
365	C₂²×C₃₇	—	2	2	no	—
366	C₂²×C₃₇	—	2	4	no	—
367	C₂²×C₃₇	—	2	4	no	—
368	C₂²×C₃₇	—	2	2	no	—
369	C₂²×C₃₇	—	2	1	no	—
370	C₂²×C₃₇	—	2	2	no	—
371	C₂²×C₃₇	—	2	2	no	—
372	C₂²×C₃₇	—	4	2	no	—
373	C₂²×C₃₇	—	4	4	no	—
374	C₂²×C₃₇	—	4	2	no	—
375	C₂²×C₃₇	—	16	4	no	—
376	C₂²×C₃₇	—	16	2	no	—
377	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
378	C₄×C₃₇	—	2	2	no	—
379	C₄×C₃₇	—	2	2	no	—
380	C₄×C₃₇	—	2	1	no	—
381	C₄×C₃₇	—	2	2	no	—
382	C₄×C₃₇	—	2	2	no	—
383	C₄×C₃₇	—	2	2	no	—
384	C₄×C₃₇	—	4	2	no	—
385	C₄×C₃₇	—	4	4	no	—
386	C₄×C₃₇	—	4	2	no	—
387	C₄×C₃₇	—	4	4	no	—
388	C₄×C₃₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
389	C₄×C₃₇	C₂×H(5,𝔽₂)	1	1	yes	characteristic
390	#3550	C₂×C₃₇	1	1	yes	characteristic, complemented
391	#3500	C₂×C₃₇	1	1	yes	characteristic
392	#3313	C₂×C₃₇	1	4	yes	complemented
393	#3311	C₂×C₃₇	1	4	yes	complemented
394	#3270	C₂×C₃₇	1	4	yes	complemented
395	#3266	C₂×C₃₇	1	4	yes	complemented
396	#3215	C₂×C₃₇	1	2	yes	complemented
397	#3202	C₂×C₃₇	1	2	yes	complemented
398	#3200	C₂×C₃₇	1	2	yes	complemented
399	#3116	C₂×C₃₇	1	2	yes	complemented
400	#3011	C₂×C₃₇	1	2	yes	complemented
401	#3009	C₂×C₃₇	1	2	yes	complemented
402	#2980	C₂×C₃₇	1	1	yes	characteristic, complemented
403	C₂×C₃₇	—	4	2	no	—
404	C₂×C₃₇	—	4	1	no	—
405	C₂×C₃₇	—	4	2	no	—
406	C₂×C₃₇	—	4	2	no	—
407	C₂×C₃₇	—	8	2	no	—
408	C₂×C₃₇	#3484	1	1	yes	characteristic
409	C₂×C₃₇	#3586	1	2	yes	—
410	C₂×2₋¹⁺⁴	C₂²×C₃₇	1	1	yes	characteristic
411	C₂×H(5,𝔽₂)	C₂²×C₃₇	1	1	yes	characteristic
412	C₂×#137	C₂²×C₃₇	1	2	yes	—
413	C₂×#137	C₂²×C₃₇	1	2	yes	complemented
414	C₂²×Q₁₆	C₂²×C₃₇	1	2	yes	complemented
415	C₂²×SD₁₆	C₂²×C₃₇	1	2	yes	—
416	#563	—	2	1	no	—
417	#563	—	2	1	no	—
418	#559	—	2	1	no	—
419	Q₈²	—	2	1	no	—
420	#556	C₂²×C₃₇	1	4	yes	complemented
421	D₄×Q₈	C₂²×C₃₇	1	4	yes	complemented
422	#548	C₂²×C₃₇	1	4	yes	—
423	#546	—	2	4	no	—
424	#546	C₂²×C₃₇	1	4	yes	—
425	#542	—	2	4	no	—
426	#536	—	2	1	no	—
427	#536	C₂²×C₃₇	1	1	yes	characteristic
428	#536	C₂²×C₃₇	1	2	yes	—
429	#536	C₂²×C₃₇	1	2	yes	complemented
430	#535	—	2	1	no	—
431	#535	C₂²×C₃₇	1	1	yes	characteristic
432	#533	C₂²×C₃₇	1	2	yes	complemented
433	#532	—	2	1	no	—
434	#532	C₂²×C₃₇	1	1	yes	characteristic
435	C₂×#124	—	2	1	no	—
436	C₂×#124	C₂²×C₃₇	1	1	yes	characteristic
437	C₄×#41	C₂²×C₃₇	1	1	yes	characteristic
438	#497	C₂²×C₃₇	1	4	yes	complemented
439	#489	C₂²×C₃₇	1	4	yes	complemented
440	#485	C₂²×C₃₇	1	4	yes	complemented
441	#485	C₂²×C₃₇	1	4	yes	complemented
442	#482	C₂²×C₃₇	1	4	yes	complemented
443	#477	C₂²×C₃₇	1	2	yes	complemented
444	#476	C₂²×C₃₇	1	2	yes	complemented
445	#470	C₂²×C₃₇	1	4	yes	complemented
446	#468	C₂²×C₃₇	1	4	yes	complemented
447	#467	C₂²×C₃₇	1	4	yes	complemented
448	#465	C₂²×C₃₇	1	4	yes	complemented
449	#464	C₂²×C₃₇	1	4	yes	complemented
450	#464	C₂²×C₃₇	1	4	yes	complemented
451	#462	C₂²×C₃₇	1	2	yes	complemented
452	#461	C₂²×C₃₇	1	2	yes	complemented
453	#452	C₂²×C₃₇	1	4	yes	—
454	#452	C₂²×C₃₇	1	4	yes	—
455	#452	C₂²×C₃₇	1	4	yes	complemented
456	#451	C₂²×C₃₇	1	4	yes	complemented
457	#451	C₂²×C₃₇	1	4	yes	complemented
458	#451	C₂²×C₃₇	1	4	yes	complemented
459	#450	C₂²×C₃₇	1	4	yes	—
460	#450	C₂²×C₃₇	1	4	yes	—
461	#448	C₂²×C₃₇	1	4	yes	complemented
462	#441	C₂²×C₃₇	1	4	yes	complemented
463	#440	C₂²×C₃₇	1	4	yes	complemented
464	#435	C₂²×C₃₇	1	4	yes	complemented
465	#435	C₂²×C₃₇	1	4	yes	complemented
466	#432	C₂²×C₃₇	1	2	yes	complemented
467	#419	C₂²×C₃₇	1	2	yes	complemented
468	#418	C₂²×C₃₇	1	2	yes	—
469	#416	C₂²×C₃₇	1	2	yes	—
470	#416	C₂²×C₃₇	1	2	yes	complemented
471	#408	C₂²×C₃₇	1	2	yes	—
472	#408	C₂²×C₃₇	1	2	yes	complemented
473	C₃₇	#61674	1	1	yes	characteristic, direct product factor, Sylow
474	2₋¹⁺⁴	—	4	2	no	—
475	2₋¹⁺⁴	—	4	2	no	—
476	H(5,𝔽₂)	—	4	2	no	—
477	H(5,𝔽₂)	—	4	2	no	—
478	C₂×#41	—	2	1	no	—
479	C₂×#41	—	2	1	no	—
480	C₂×#41	—	2	2	no	—
481	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
482	C₂×#41	C₂³×C₃₇	1	2	yes	—
483	C₂×#41	C₂³×C₃₇	1	2	yes	—
484	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
485	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
486	C₂²×Q₈	—	2	1	no	—
487	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
488	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
489	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
490	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
491	C₂²×D₄	—	2	1	no	—
492	C₂²×D₄	—	2	2	no	—
493	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
494	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
495	#137	—	4	4	no	—
496	#137	—	4	4	no	—
497	C₂×Q₁₆	—	4	4	no	—
498	C₂×Q₁₆	C₂³×C₃₇	1	4	yes	—
499	C₂×Q₁₆	C₂³×C₃₇	1	4	yes	—
500	C₂×Q₁₆	C₂³×C₃₇	1	4	yes	—
501	C₂×SD₁₆	—	4	4	no	—
502	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
503	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
504	C₂×SD₁₆	C₂³×C₃₇	1	4	yes	—
505	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
506	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
507	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
508	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
509	C₄⋊Q₈	—	2	1	no	—
510	C₄⋊Q₈	—	2	2	no	—
511	C₄⋊Q₈	—	2	2	no	—
512	C₄⋊Q₈	—	2	4	no	—
513	C₄⋊Q₈	D₄×C₃₇	1	1	yes	characteristic
514	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
515	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
516	#127	—	2	1	no	—
517	#127	D₄×C₃₇	1	1	yes	characteristic
518	#126	—	2	4	no	—
519	#126	—	2	4	no	—
520	#125	—	2	2	no	—
521	#124	—	2	1	no	—
522	#124	—	2	1	no	—
523	#124	—	2	2	no	—
524	#124	—	2	2	no	—
525	#124	—	2	4	no	—
526	#124	—	2	4	no	—
527	#124	—	2	1	no	—
528	#124	—	2	1	no	—
529	#124	D₄×C₃₇	1	1	yes	characteristic
530	#124	D₄×C₃₇	1	1	yes	characteristic
531	#124	C₂³×C₃₇	1	4	yes	—
532	#123	—	2	2	no	—
533	#123	—	2	2	no	—
534	#123	—	2	2	no	—
535	#123	—	2	2	no	—
536	#123	—	2	2	no	—
537	#123	—	2	4	no	—
538	C₂²⋊Q₈	—	2	2	no	—
539	C₂²⋊Q₈	—	2	4	no	—
540	C₂²⋊Q₈	—	2	4	no	—
541	C₂²⋊Q₈	—	2	4	no	—
542	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
543	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
544	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
545	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
546	#121	—	2	4	no	—
547	#121	—	2	4	no	—
548	#121	D₄×C₃₇	1	4	yes	—
549	#121	C₂³×C₃₇	1	4	yes	—
550	#120	—	2	4	no	—
551	#120	—	2	2	no	—
552	C₄×Q₈	—	2	4	no	—
553	C₄×Q₈	—	2	2	no	—
554	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
555	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
556	C₄×D₄	—	2	4	no	—
557	C₄×D₄	—	2	2	no	—
558	C₄×D₄	—	2	4	no	—
559	C₄×D₄	C₂³×C₃₇	1	2	yes	—
560	C₄×D₄	C₂³×C₃₇	1	4	yes	—
561	#117	—	2	2	no	—
562	#117	—	2	1	no	—
563	#117	C₂³×C₃₇	1	1	yes	characteristic
564	#117	C₂³×C₃₇	1	2	yes	—
565	#117	C₂³×C₃₇	1	2	yes	—
566	C₂×C₂²⋊C₄	—	2	2	no	—
567	C₂×C₂²⋊C₄	—	2	4	no	—
568	C₂×C₄²	—	2	1	no	—
569	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
570	#107	C₂³×C₃₇	1	4	yes	—
571	#106	C₂³×C₃₇	1	4	yes	—
572	C₄⋊C₈	C₂³×C₃₇	1	2	yes	—
573	C₄⋊C₈	C₂³×C₃₇	1	2	yes	—
574	#103	C₂³×C₃₇	1	4	yes	—
575	#103	C₂³×C₃₇	1	4	yes	—
576	#103	C₂³×C₃₇	1	4	yes	—
577	#103	C₂³×C₃₇	1	4	yes	—
578	#103	C₂³×C₃₇	1	4	yes	—
579	#102	C₂³×C₃₇	1	4	yes	—
580	#102	C₂³×C₃₇	1	4	yes	—
581	#102	C₂³×C₃₇	1	4	yes	—
582	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
583	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
584	C₂²⋊C₈	C₂³×C₃₇	1	4	yes	—
585	#97	C₂³×C₃₇	1	4	yes	—
586	C₂⁴	—	2	2	no	—
587	C₂⁴	—	2	1	no	—
588	#41	—	2	2	no	—
589	#41	—	2	2	no	—
590	#41	—	2	4	no	—
591	#41	—	2	4	no	—
592	#41	—	4	1	no	—
593	#41	—	4	1	no	—
594	#41	—	4	1	no	—
595	#41	—	4	1	no	—
596	#41	—	4	2	no	—
597	#41	—	4	2	no	—
598	#41	—	4	4	no	—
599	#41	—	4	4	no	—
600	#41	—	4	8	no	—
601	C₂×Q₈	—	2	2	no	—
602	C₂×Q₈	—	2	2	no	—
603	C₂×Q₈	—	2	1	no	—
604	C₂×Q₈	—	2	2	no	—
605	C₂×Q₈	—	2	2	no	—
606	C₂×Q₈	—	2	4	no	—
607	C₂×Q₈	—	4	2	no	—
608	C₂×Q₈	—	4	1	no	—
609	C₂×Q₈	—	4	1	no	—
610	C₂×Q₈	—	4	4	no	—
611	C₂×Q₈	—	4	2	no	—
612	C₂×Q₈	—	4	2	no	—
613	C₂×Q₈	—	4	2	no	—
614	C₂×Q₈	—	4	2	no	—
615	C₂×Q₈	C₂×D₄×C₃₇	1	1	yes	characteristic
616	C₂×Q₈	C₂×D₄×C₃₇	1	1	yes	characteristic
617	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
618	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
619	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
620	C₂×D₄	—	2	1	no	—
621	C₂×D₄	—	2	4	no	—
622	C₂×D₄	—	2	2	no	—
623	C₂×D₄	—	2	2	no	—
624	C₂×D₄	—	2	4	no	—
625	C₂×D₄	—	2	2	no	—
626	C₂×D₄	—	2	1	no	—
627	C₂×D₄	—	4	2	no	—
628	C₂×D₄	—	4	1	no	—
629	C₂×D₄	—	4	1	no	—
630	C₂×D₄	—	4	4	no	—
631	C₂×D₄	—	4	8	no	—
632	C₂×D₄	C₂×D₄×C₃₇	1	4	yes	—
633	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
634	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
635	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
636	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
637	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
638	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
639	C₂²×C₄	—	2	1	no	—
640	C₂²×C₄	—	2	1	no	—
641	C₂²×C₄	—	2	2	no	—
642	C₂²×C₄	—	2	2	no	—
643	C₂²×C₄	—	2	2	no	—
644	C₂²×C₄	—	2	2	no	—
645	C₂²×C₄	—	2	2	no	—
646	C₂²×C₄	—	2	2	no	—
647	C₂²×C₄	C₂×D₄×C₃₇	1	2	yes	—
648	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
649	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
650	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
651	Q₁₆	—	2	8	no	—
652	Q₁₆	—	4	4	no	—
653	Q₁₆	—	4	4	no	—
654	SD₁₆	—	2	8	no	—
655	SD₁₆	—	4	4	no	—
656	SD₁₆	—	4	4	no	—
657	M₁₆	—	4	2	no	—
658	M₁₆	—	4	2	no	—
659	C₂×C₈	—	4	2	no	—
660	C₂×C₈	—	4	2	no	—
661	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
662	C₂×C₈	C₂⁴×C₃₇	1	4	yes	—
663	C₄⋊C₄	—	2	2	no	—
664	C₄⋊C₄	—	2	2	no	—
665	C₄⋊C₄	—	2	2	no	—
666	C₄⋊C₄	—	2	2	no	—
667	C₄⋊C₄	—	2	4	no	—
668	C₄⋊C₄	—	2	4	no	—
669	C₄⋊C₄	—	2	4	no	—
670	C₄⋊C₄	—	2	4	no	—
671	C₄⋊C₄	—	2	4	no	—
672	C₄⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
673	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
674	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
675	C₂²⋊C₄	—	2	4	no	—
676	C₂²⋊C₄	—	2	4	no	—
677	C₂²⋊C₄	—	2	1	no	—
678	C₂²⋊C₄	—	2	2	no	—
679	C₂²⋊C₄	—	2	2	no	—
680	C₂²⋊C₄	—	2	4	no	—
681	C₂²⋊C₄	—	2	4	no	—
682	C₂²⋊C₄	—	2	4	no	—
683	C₂²⋊C₄	—	2	4	no	—
684	C₂²⋊C₄	—	2	4	no	—
685	C₂²⋊C₄	—	2	2	no	—
686	C₂²⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
687	C₂²⋊C₄	C₂×D₄×C₃₇	1	4	yes	—
688	C₄²	—	2	1	no	—
689	C₄²	—	2	2	no	—
690	C₄²	—	2	4	no	—
691	C₄²	—	2	2	no	—
692	C₄²	—	2	2	no	—
693	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
694	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
695	C₄²	C₂⁴×C₃₇	1	2	yes	—
696	C₂³	—	2	1	no	—
697	C₂³	—	2	2	no	—
698	C₂³	—	4	4	no	—
699	C₂³	—	4	2	no	—
700	C₂³	—	8	2	no	—
701	C₂³	—	8	4	no	—
702	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
703	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
704	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
705	Q₈	—	2	1	no	—
706	Q₈	—	2	4	no	—
707	Q₈	—	2	4	no	—
708	Q₈	—	2	2	no	—
709	Q₈	—	2	2	no	—
710	Q₈	—	4	1	no	—
711	Q₈	—	4	1	no	—
712	Q₈	—	4	4	no	—
713	Q₈	—	4	2	no	—
714	Q₈	—	4	4	no	—
715	Q₈	—	8	2	no	—
716	Q₈	—	8	2	no	—
717	Q₈	H(5,𝔽₂)×C₃₇	1	2	yes	—
718	D₄	—	2	4	no	—
719	D₄	—	2	1	no	—
720	D₄	—	2	2	no	—
721	D₄	—	2	2	no	—
722	D₄	—	4	1	no	—
723	D₄	—	4	2	no	—
724	D₄	—	4	1	no	—
725	D₄	—	4	2	no	—
726	D₄	—	4	4	no	—
727	D₄	—	4	4	no	—
728	D₄	—	4	4	no	—
729	D₄	—	4	2	no	—
730	D₄	—	4	4	no	—
731	D₄	—	8	4	no	—
732	D₄	H(5,𝔽₂)×C₃₇	1	2	yes	—
733	C₂×C₄	—	2	4	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	2	2	no	—
736	C₂×C₄	—	2	2	no	—
737	C₂×C₄	—	2	2	no	—
738	C₂×C₄	—	2	2	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	2	4	no	—
742	C₂×C₄	—	2	2	no	—
743	C₂×C₄	—	2	4	no	—
744	C₂×C₄	—	2	2	no	—
745	C₂×C₄	—	4	2	no	—
746	C₂×C₄	—	4	4	no	—
747	C₂×C₄	—	4	4	no	—
748	C₂×C₄	—	4	4	no	—
749	C₂×C₄	—	4	2	no	—
750	C₂×C₄	—	8	2	no	—
751	C₂×C₄	—	8	2	no	—
752	C₂×C₄	—	8	2	no	—
753	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
754	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
755	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
756	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
757	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
758	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
759	C₈	—	2	4	no	—
760	C₈	—	2	4	no	—
761	C₂²	—	2	2	no	—
762	C₂²	—	2	1	no	—
763	C₂²	—	2	2	no	—
764	C₂²	—	2	2	no	—
765	C₂²	—	2	2	no	—
766	C₂²	—	2	4	no	—
767	C₂²	—	2	4	no	—
768	C₂²	—	4	2	no	—
769	C₂²	—	4	2	no	—
770	C₂²	—	4	4	no	—
771	C₂²	—	16	4	no	—
772	C₂²	—	16	2	no	—
773	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
774	C₄	—	2	1	no	—
775	C₄	—	2	2	no	—
776	C₄	—	2	2	no	—
777	C₄	—	2	2	no	—
778	C₄	—	2	2	no	—
779	C₄	—	2	2	no	—
780	C₄	—	4	2	no	—
781	C₄	—	4	4	no	—
782	C₄	—	4	2	no	—
783	C₄	—	4	4	no	—
784	C₄	C₂×H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
785	C₄	C₂×H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
786	C₂	—	4	1	no	—
787	C₂	—	4	2	no	—
788	C₂	—	4	2	no	—
789	C₂	—	4	2	no	—
790	C₂	—	8	2	no	—
791	C₂	C₃₇×#3484	1	1	yes	characteristic
792	C₂	C₃₇×#3586	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₇
prime radical	C₃₇×#3500	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇ ◁ C₃₇×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3550	C₂	semidirect
3. C₃₇×#3313	C₂	semidirect
4. C₃₇×#3311	C₂	semidirect
5. C₃₇×#3270	C₂	semidirect
6. C₃₇×#3266	C₂	semidirect
7. C₃₇×#3215	C₂	semidirect
8. C₃₇×#3202	C₂	semidirect
9. C₃₇×#3200	C₂	semidirect
10. C₃₇×#3116	C₂	semidirect
11. C₃₇×#3011	C₂	semidirect
12. C₃₇×#3009	C₂	semidirect
13. C₃₇×#2980	C₂	semidirect
17. C₂×#137×C₃₇	C₂²	semidirect
18. C₂²×Q₁₆×C₃₇	C₂²	semidirect
24. C₃₇×#556	C₂²	semidirect
25. D₄×Q₈×C₃₇	C₂²	semidirect
33. C₃₇×#536	C₂²	semidirect
36. C₃₇×#533	C₂²	semidirect
42. C₃₇×#497	C₂²	semidirect
43. C₃₇×#489	C₂²	semidirect
44. C₃₇×#485	C₂²	semidirect
45. C₃₇×#485	C₂²	semidirect
46. C₃₇×#482	C₂²	semidirect
47. C₃₇×#477	C₂²	semidirect
48. C₃₇×#476	C₂²	semidirect
49. C₃₇×#470	C₂²	semidirect
50. C₃₇×#468	C₂²	semidirect
51. C₃₇×#467	C₂²	semidirect
52. C₃₇×#465	C₂²	semidirect
53. C₃₇×#464	C₂²	semidirect
54. C₃₇×#464	C₂²	semidirect
55. C₃₇×#462	C₂²	semidirect
56. C₃₇×#461	C₂²	semidirect
59. C₃₇×#452	C₂²	semidirect
60. C₃₇×#451	C₂²	semidirect
61. C₃₇×#451	C₂²	semidirect
62. C₃₇×#451	C₂²	semidirect
65. C₃₇×#448	C₂²	semidirect
66. C₃₇×#441	C₂²	semidirect
67. C₃₇×#440	C₂²	semidirect
68. C₃₇×#435	C₂²	semidirect
69. C₃₇×#435	C₂²	semidirect
70. C₃₇×#432	C₂²	semidirect
71. C₃₇×#419	C₂²	semidirect
74. C₃₇×#416	C₂²	semidirect
76. C₃₇×#408	C₂²	semidirect
364. #61674	C₃₇	direct (N × H)
390. #3550	C₂×C₃₇	semidirect
392. #3313	C₂×C₃₇	semidirect
393. #3311	C₂×C₃₇	semidirect
394. #3270	C₂×C₃₇	semidirect
395. #3266	C₂×C₃₇	semidirect
396. #3215	C₂×C₃₇	semidirect
397. #3202	C₂×C₃₇	semidirect
398. #3200	C₂×C₃₇	semidirect
399. #3116	C₂×C₃₇	semidirect
400. #3011	C₂×C₃₇	semidirect
401. #3009	C₂×C₃₇	semidirect
402. #2980	C₂×C₃₇	semidirect
413. C₂×#137	C₂²×C₃₇	semidirect
414. C₂²×Q₁₆	C₂²×C₃₇	semidirect
420. #556	C₂²×C₃₇	semidirect
421. D₄×Q₈	C₂²×C₃₇	semidirect
429. #536	C₂²×C₃₇	semidirect
432. #533	C₂²×C₃₇	semidirect
438. #497	C₂²×C₃₇	semidirect
439. #489	C₂²×C₃₇	semidirect
440. #485	C₂²×C₃₇	semidirect
441. #485	C₂²×C₃₇	semidirect
442. #482	C₂²×C₃₇	semidirect
443. #477	C₂²×C₃₇	semidirect
444. #476	C₂²×C₃₇	semidirect
445. #470	C₂²×C₃₇	semidirect
446. #468	C₂²×C₃₇	semidirect
447. #467	C₂²×C₃₇	semidirect
448. #465	C₂²×C₃₇	semidirect
449. #464	C₂²×C₃₇	semidirect
450. #464	C₂²×C₃₇	semidirect
451. #462	C₂²×C₃₇	semidirect
452. #461	C₂²×C₃₇	semidirect
455. #452	C₂²×C₃₇	semidirect
456. #451	C₂²×C₃₇	semidirect
457. #451	C₂²×C₃₇	semidirect
458. #451	C₂²×C₃₇	semidirect
461. #448	C₂²×C₃₇	semidirect
462. #441	C₂²×C₃₇	semidirect
463. #440	C₂²×C₃₇	semidirect
464. #435	C₂²×C₃₇	semidirect
465. #435	C₂²×C₃₇	semidirect
466. #432	C₂²×C₃₇	semidirect
467. #419	C₂²×C₃₇	semidirect
470. #416	C₂²×C₃₇	semidirect
472. #408	C₂²×C₃₇	semidirect
473. C₃₇	#61674	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃₇×#3550	2
C₃₇×#3500	2
C₃₇×#3313	2
C₃₇×#3311	2
C₃₇×#3270	2
C₃₇×#3266	2
C₃₇×#3215	2
C₃₇×#3202	2
C₃₇×#3200	2
C₃₇×#3116	2
C₃₇×#3011	2
C₃₇×#3009	2
C₃₇×#2980	2
#61674	37

Subgroups — C37×#61674 #22682927

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#61674 #22682927