Subgroups — C₃₇×#62931 #22684184

Order 9472.

7074 conjugacy classes of subgroups.

The subgroup lattice has 1032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3562	C₂	1	8	yes	maximal, complemented
2	C₃₇×#3561	C₂	1	8	yes	maximal, complemented
3	C₃₇×#3560	C₂	1	8	yes	maximal, complemented
4	C₃₇×#3552	C₂	1	4	yes	maximal, complemented
5	C₃₇×#3546	C₂	1	4	yes	maximal, complemented
6	C₃₇×#3536	C₂	1	4	yes	maximal, complemented
7	C₃₇×#3514	C₂	1	4	yes	maximal, complemented
8	C₃₇×#3511	C₂	1	4	yes	maximal, complemented
9	C₃₇×#3500	C₂	1	4	yes	maximal, complemented
10	C₃₇×#3499	C₂	1	2	yes	maximal, complemented
11	C₃₇×#3497	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3496	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃₇×#3494	C₂	1	4	yes	maximal, complemented
14	C₃₇×#3480	C₂	1	2	yes	maximal, complemented
15	C₂×C₃₇×#556	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₇×#3461	C₂	1	2	yes	maximal, complemented
17	C₃₇×#3460	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×2₋¹⁺⁴×C₃₇	C₂²	1	4	yes	complemented
19	C₂×H(5,𝔽₂)×C₃₇	C₂²	1	2	yes	—
20	C₃₇×#563	C₂²	1	16	yes	complemented
21	C₃₇×#562	C₂²	1	16	yes	complemented
22	C₃₇×#560	C₂²	1	16	yes	complemented
23	C₃₇×#559	C₂²	1	2	yes	complemented
24	C₃₇×#559	C₂²	1	4	yes	complemented
25	C₃₇×#557	C₂²	1	2	yes	complemented
26	C₃₇×#556	C₂²	1	4	yes	complemented
27	C₃₇×#556	C₂²	1	4	yes	complemented
28	C₃₇×#556	C₂²	1	8	yes	complemented
29	C₃₇×#556	C₂²	1	2	yes	complemented
30	C₃₇×#556	C₂²	1	4	yes	complemented
31	C₃₇×#555	C₂²	1	8	yes	complemented
32	C₃₇×#554	C₂²	1	8	yes	complemented
33	C₃₇×#553	C₂²	1	4	yes	complemented
34	C₃₇×#553	C₂²	1	8	yes	complemented
35	C₃₇×#553	C₂²	1	8	yes	complemented
36	C₃₇×#553	C₂²	1	16	yes	complemented
37	C₃₇×#551	C₂²	1	16	yes	complemented
38	C₃₇×#551	C₂²	1	16	yes	complemented
39	C₃₇×#550	C₂²	1	2	yes	complemented
40	C₃₇×#550	C₂²	1	8	yes	complemented
41	D₄×Q₈×C₃₇	C₂²	1	8	yes	complemented
42	D₄×Q₈×C₃₇	C₂²	1	4	yes	complemented
43	D₄×Q₈×C₃₇	C₂²	1	4	yes	complemented
44	C₃₇×#548	C₂²	1	4	yes	complemented
45	C₃₇×#548	C₂²	1	8	yes	complemented
46	C₃₇×#548	C₂²	1	8	yes	complemented
47	C₃₇×#548	C₂²	1	8	yes	complemented
48	C₃₇×#548	C₂²	1	8	yes	complemented
49	C₃₇×#547	C₂²	1	4	yes	—
50	C₃₇×#547	C₂²	1	8	yes	complemented
51	C₃₇×#547	C₂²	1	4	yes	complemented
52	C₃₇×#547	C₂²	1	8	yes	complemented
53	C₃₇×#547	C₂²	1	4	yes	complemented
54	C₃₇×#546	C₂²	1	8	yes	—
55	C₃₇×#546	C₂²	1	16	yes	complemented
56	C₃₇×#546	C₂²	1	8	yes	complemented
57	C₃₇×#546	C₂²	1	16	yes	complemented
58	C₃₇×#546	C₂²	1	8	yes	complemented
59	C₃₇×#546	C₂²	1	8	yes	complemented
60	D₄²×C₃₇	C₂²	1	4	yes	—
61	C₃₇×#544	C₂²	1	1	yes	characteristic, complemented
62	C₃₇×#544	C₂²	1	4	yes	complemented
63	C₃₇×#543	C₂²	1	8	yes	complemented
64	C₃₇×#542	C₂²	1	4	yes	complemented
65	C₃₇×#542	C₂²	1	8	yes	complemented
66	C₃₇×#542	C₂²	1	8	yes	complemented
67	C₃₇×#542	C₂²	1	16	yes	complemented
68	C₃₇×#542	C₂²	1	8	yes	complemented
69	C₃₇×#541	C₂²	1	8	yes	complemented
70	C₃₇×#540	C₂²	1	4	yes	complemented
71	C₃₇×#540	C₂²	1	8	yes	complemented
72	C₃₇×#539	C₂²	1	8	yes	complemented
73	C₃₇×#539	C₂²	1	16	yes	complemented
74	C₃₇×#538	C₂²	1	4	yes	complemented
75	C₃₇×#538	C₂²	1	16	yes	complemented
76	C₃₇×#538	C₂²	1	8	yes	complemented
77	C₃₇×#538	C₂²	1	16	yes	complemented
78	C₃₇×#537	C₂²	1	2	yes	—
79	C₃₇×#537	C₂²	1	1	yes	characteristic, complemented
80	C₃₇×#537	C₂²	1	8	yes	complemented
81	C₃₇×#537	C₂²	1	8	yes	complemented
82	C₃₇×#536	C₂²	1	4	yes	complemented
83	C₃₇×#536	C₂²	1	8	yes	complemented
84	C₃₇×#536	C₂²	1	8	yes	complemented
85	C₃₇×#535	C₂²	1	2	yes	—
86	C₃₇×#535	C₂²	1	4	yes	complemented
87	C₃₇×#535	C₂²	1	8	yes	complemented
88	C₃₇×#534	C₂²	1	4	yes	—
89	C₃₇×#533	C₂²	1	8	yes	complemented
90	C₃₇×#532	C₂²	1	2	yes	—
91	C₃₇×#532	C₂²	1	4	yes	complemented
92	C₃₇×#532	C₂²	1	4	yes	complemented
93	C₃₇×#532	C₂²	1	8	yes	complemented
94	C₃₇×#532	C₂²	1	4	yes	complemented
95	C₃₇×#532	C₂²	1	8	yes	complemented
96	C₂×C₄⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₄⋊Q₈×C₃₇	C₂²	1	4	yes	complemented
98	C₃₇×#529	C₂²	1	4	yes	complemented
99	C₃₇×#529	C₂²	1	8	yes	complemented
100	C₃₇×#529	C₂²	1	8	yes	complemented
101	C₃₇×#529	C₂²	1	4	yes	complemented
102	C₃₇×#529	C₂²	1	8	yes	complemented
103	C₂×#126×C₃₇	C₂²	1	4	yes	complemented
104	C₂×#124×C₃₇	C₂²	1	2	yes	—
105	C₂×#124×C₃₇	C₂²	1	8	yes	complemented
106	C₃₇×#525	C₂²	1	4	yes	complemented
107	C₂×C₂²⋊Q₈×C₃₇	C₂²	1	2	yes	complemented
108	C₂×#121×C₃₇	C₂²	1	4	yes	—
109	C₃₇×#520	C₂²	1	4	yes	complemented
110	C₃₇×#518	C₂²	1	4	yes	complemented
111	C₄×#41×C₃₇	C₂²	1	2	yes	complemented
112	C₄×#41×C₃₇	C₂²	1	4	yes	complemented
113	C₄×#41×C₃₇	C₂²	1	4	yes	complemented
114	C₂×C₄×Q₈×C₃₇	C₂²	1	2	yes	complemented
115	C₂×C₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×D₄×C₃₇	C₂²	1	1	yes	characteristic
117	C₂×#117×C₃₇	C₂²	1	2	yes	complemented
118	2₋¹⁺⁴×C₃₇	—	4	16	no	—
119	H(5,𝔽₂)×C₃₇	—	4	8	no	—
120	C₂×#41×C₃₇	C₂³	1	4	yes	—
121	C₂×#41×C₃₇	C₂³	1	2	yes	—
122	C₂×#41×C₃₇	C₂³	1	4	yes	—
123	C₂×#41×C₃₇	C₂³	1	8	yes	—
124	C₂×#41×C₃₇	C₂³	1	8	yes	—
125	C₂×#41×C₃₇	C₂³	1	8	yes	—
126	C₂×#41×C₃₇	C₂³	1	16	yes	—
127	C₂×#41×C₃₇	C₂³	1	4	yes	—
128	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
129	C₂²×Q₈×C₃₇	C₂³	1	1	yes	characteristic
130	C₂²×Q₈×C₃₇	C₂³	1	8	yes	—
131	C₂²×Q₈×C₃₇	C₂³	1	8	yes	—
132	C₂²×D₄×C₃₇	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₃₇	C₂³	1	8	yes	—
134	C₂²×D₄×C₃₇	C₂³	1	4	yes	—
135	C₂²×D₄×C₃₇	C₂³	1	8	yes	—
136	C₂³×C₄×C₃₇	C₂³	1	2	yes	—
137	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
138	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
139	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
140	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
141	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
142	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
143	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
144	C₄⋊Q₈×C₃₇	C₂³	1	4	yes	—
145	C₄⋊Q₈×C₃₇	C₂³	1	8	yes	—
146	#127×C₃₇	C₂³	1	2	yes	—
147	#127×C₃₇	C₂³	1	4	yes	—
148	#127×C₃₇	C₂³	1	4	yes	—
149	#127×C₃₇	C₂³	1	8	yes	—
150	#126×C₃₇	C₂³	1	16	yes	—
151	#126×C₃₇	C₂³	1	16	yes	—
152	#126×C₃₇	C₂³	1	16	yes	—
153	#126×C₃₇	C₂³	1	8	yes	—
154	#126×C₃₇	C₂³	1	8	yes	—
155	#126×C₃₇	C₂³	1	16	yes	—
156	#126×C₃₇	C₂³	1	8	yes	—
157	#126×C₃₇	C₂³	1	8	yes	—
158	#125×C₃₇	C₂³	1	4	yes	—
159	#125×C₃₇	C₂³	1	8	yes	—
160	#125×C₃₇	C₂³	1	8	yes	—
161	#125×C₃₇	C₂³	1	4	yes	—
162	#125×C₃₇	C₂³	1	16	yes	—
163	#124×C₃₇	C₂³	1	8	yes	—
164	#124×C₃₇	C₂³	1	8	yes	—
165	#124×C₃₇	C₂³	1	4	yes	—
166	#124×C₃₇	C₂³	1	4	yes	—
167	#124×C₃₇	C₂³	1	8	yes	—
168	#124×C₃₇	C₂³	1	16	yes	—
169	#124×C₃₇	C₂³	1	16	yes	—
170	#124×C₃₇	C₂³	1	8	yes	—
171	#124×C₃₇	C₂³	1	8	yes	—
172	#124×C₃₇	C₂³	1	4	yes	—
173	#124×C₃₇	C₂³	1	4	yes	—
174	#124×C₃₇	C₂³	1	4	yes	—
175	#124×C₃₇	C₂³	1	8	yes	—
176	#124×C₃₇	C₂³	1	16	yes	—
177	#123×C₃₇	C₂³	1	8	yes	—
178	#123×C₃₇	C₂³	1	16	yes	—
179	#123×C₃₇	C₂³	1	8	yes	—
180	#123×C₃₇	C₂³	1	8	yes	—
181	#123×C₃₇	C₂³	1	8	yes	—
182	#123×C₃₇	C₂³	1	16	yes	—
183	#123×C₃₇	C₂³	1	8	yes	—
184	#123×C₃₇	C₂³	1	16	yes	—
185	#123×C₃₇	C₂³	1	16	yes	—
186	#123×C₃₇	C₂³	1	16	yes	—
187	#123×C₃₇	C₂³	1	16	yes	—
188	#123×C₃₇	C₂³	1	16	yes	—
189	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
190	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
191	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
192	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
193	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
194	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
195	C₂²⋊Q₈×C₃₇	C₂³	1	4	yes	—
196	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
197	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
198	C₂²⋊Q₈×C₃₇	C₂³	1	8	yes	—
199	C₂²⋊Q₈×C₃₇	C₂³	1	16	yes	—
200	C₂²⋊Q₈×C₃₇	C₂³	1	16	yes	—
201	C₂²⋊Q₈×C₃₇	C₂³	1	16	yes	—
202	C₂²⋊Q₈×C₃₇	C₂³	1	16	yes	—
203	C₂²⋊Q₈×C₃₇	C₂³	1	16	yes	—
204	C₂²⋊Q₈×C₃₇	C₂³	1	16	yes	—
205	C₂²⋊Q₈×C₃₇	C₂³	1	16	yes	—
206	#121×C₃₇	C₂³	1	4	yes	—
207	#121×C₃₇	C₂³	1	8	yes	—
208	#121×C₃₇	C₂³	1	8	yes	—
209	#121×C₃₇	C₂³	1	8	yes	—
210	#121×C₃₇	C₂³	1	4	yes	—
211	#121×C₃₇	C₂³	1	4	yes	—
212	#121×C₃₇	C₂³	1	4	yes	—
213	#121×C₃₇	C₂³	1	4	yes	—
214	#121×C₃₇	C₂³	1	8	yes	—
215	#121×C₃₇	C₂³	1	8	yes	—
216	#121×C₃₇	C₂³	1	4	yes	—
217	#121×C₃₇	C₂³	1	8	yes	—
218	#121×C₃₇	C₂³	1	4	yes	—
219	#121×C₃₇	C₂³	1	8	yes	—
220	#121×C₃₇	C₂³	1	8	yes	—
221	#121×C₃₇	C₂³	1	4	yes	—
222	#121×C₃₇	C₂³	1	16	yes	—
223	#121×C₃₇	C₂³	1	8	yes	—
224	#121×C₃₇	C₂³	1	16	yes	—
225	#121×C₃₇	C₂³	1	8	yes	—
226	#121×C₃₇	C₂³	1	16	yes	—
227	#121×C₃₇	C₂³	1	16	yes	—
228	#121×C₃₇	C₂³	1	16	yes	—
229	#121×C₃₇	C₂³	1	16	yes	—
230	#120×C₃₇	C₂³	1	8	yes	—
231	#120×C₃₇	C₂³	1	16	yes	—
232	#120×C₃₇	C₂³	1	16	yes	—
233	#120×C₃₇	C₂³	1	16	yes	—
234	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
235	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
236	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
237	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
238	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
239	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
240	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
241	C₄×Q₈×C₃₇	C₂³	1	8	yes	—
242	C₄×Q₈×C₃₇	C₂³	1	4	yes	—
243	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
244	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
245	C₄×D₄×C₃₇	C₂³	1	8	yes	—
246	C₄×D₄×C₃₇	C₂³	1	16	yes	—
247	C₄×D₄×C₃₇	C₂³	1	4	yes	—
248	C₄×D₄×C₃₇	C₂³	1	8	yes	—
249	C₄×D₄×C₃₇	C₂³	1	8	yes	—
250	C₄×D₄×C₃₇	C₂³	1	4	yes	—
251	C₄×D₄×C₃₇	C₂³	1	8	yes	—
252	C₄×D₄×C₃₇	C₂³	1	8	yes	—
253	C₄×D₄×C₃₇	C₂³	1	4	yes	—
254	C₄×D₄×C₃₇	C₂³	1	4	yes	—
255	C₄×D₄×C₃₇	C₂³	1	4	yes	—
256	C₄×D₄×C₃₇	C₂³	1	8	yes	—
257	C₄×D₄×C₃₇	C₂³	1	2	yes	—
258	C₄×D₄×C₃₇	C₂³	1	8	yes	—
259	C₄×D₄×C₃₇	C₂³	1	16	yes	—
260	C₄×D₄×C₃₇	C₂³	1	16	yes	—
261	C₄×D₄×C₃₇	C₂³	1	8	yes	—
262	C₄×D₄×C₃₇	C₂³	1	8	yes	—
263	C₄×D₄×C₃₇	C₂³	1	4	yes	—
264	C₄×D₄×C₃₇	C₂³	1	8	yes	—
265	C₄×D₄×C₃₇	C₂³	1	8	yes	—
266	C₄×D₄×C₃₇	C₂³	1	2	yes	—
267	C₄×D₄×C₃₇	C₂³	1	4	yes	—
268	C₄×D₄×C₃₇	C₂³	1	4	yes	—
269	C₄×D₄×C₃₇	C₂³	1	4	yes	—
270	#117×C₃₇	C₂³	1	4	yes	—
271	#117×C₃₇	C₂³	1	4	yes	—
272	#117×C₃₇	C₂³	1	4	yes	—
273	#117×C₃₇	C₂³	1	16	yes	—
274	#117×C₃₇	C₂³	1	8	yes	—
275	#117×C₃₇	C₂³	1	4	yes	—
276	#117×C₃₇	C₂³	1	2	yes	—
277	#117×C₃₇	C₂³	1	4	yes	—
278	#117×C₃₇	C₂³	1	8	yes	—
279	#117×C₃₇	C₂³	1	8	yes	—
280	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
281	C₂×C₄⋊C₄×C₃₇	C₂³	1	8	yes	—
282	C₂×C₄⋊C₄×C₃₇	C₂³	1	4	yes	—
283	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
284	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
285	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
286	C₂×C₄⋊C₄×C₃₇	C₂³	1	8	yes	—
287	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄×C₃₇	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₃₇	C₂³	1	8	yes	—
290	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
291	C₂×C₂²⋊C₄×C₃₇	C₂³	1	4	yes	—
292	C₂×C₂²⋊C₄×C₃₇	C₂³	1	16	yes	—
293	C₂×C₂²⋊C₄×C₃₇	C₂³	1	16	yes	—
294	C₂×C₂²⋊C₄×C₃₇	C₂³	1	2	yes	—
295	C₂×C₄²×C₃₇	C₂³	1	2	yes	—
296	C₂×C₄²×C₃₇	C₂³	1	8	yes	—
297	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
298	C₂×C₄²×C₃₇	C₂³	1	4	yes	—
299	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
300	C₂⁴×C₃₇	C₂⁴	1	2	yes	—
301	C₂⁴×C₃₇	C₂⁴	1	8	yes	—
302	#41×C₃₇	—	2	16	no	—
303	#41×C₃₇	—	2	8	no	—
304	#41×C₃₇	—	4	8	no	—
305	#41×C₃₇	—	4	32	no	—
306	#41×C₃₇	—	4	8	no	—
307	#41×C₃₇	—	4	16	no	—
308	#41×C₃₇	—	4	16	no	—
309	#41×C₃₇	—	4	16	no	—
310	C₂×Q₈×C₃₇	—	2	8	no	—
311	C₂×Q₈×C₃₇	—	4	2	no	—
312	C₂×Q₈×C₃₇	—	4	16	no	—
313	C₂×Q₈×C₃₇	—	4	16	no	—
314	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
315	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
316	C₂×Q₈×C₃₇	C₂⁴	1	8	yes	—
317	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
318	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
319	C₂×Q₈×C₃₇	C₂⁴	1	4	yes	—
320	C₂×Q₈×C₃₇	C₂⁴	1	16	yes	—
321	C₂×D₄×C₃₇	—	2	4	no	—
322	C₂×D₄×C₃₇	—	4	8	no	—
323	C₂×D₄×C₃₇	—	4	16	no	—
324	C₂×D₄×C₃₇	—	4	16	no	—
325	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
326	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
327	C₂×D₄×C₃₇	C₂⁴	1	8	yes	—
328	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
329	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
330	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
331	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
332	C₂×D₄×C₃₇	C₂⁴	1	8	yes	—
333	C₂×D₄×C₃₇	C₂⁴	1	8	yes	—
334	C₂×D₄×C₃₇	C₂⁴	1	8	yes	—
335	C₂×D₄×C₃₇	C₂⁴	1	8	yes	—
336	C₂×D₄×C₃₇	C₂⁴	1	8	yes	—
337	C₂×D₄×C₃₇	C₂⁴	1	4	yes	—
338	C₂×D₄×C₃₇	C₂⁴	1	16	yes	—
339	C₂×D₄×C₃₇	C₂⁴	1	16	yes	—
340	C₂²×C₄×C₃₇	—	4	4	no	—
341	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
342	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
344	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
345	C₂²×C₄×C₃₇	C₂⁴	1	8	yes	—
346	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
347	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
349	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₃₇	C₂⁴	1	8	yes	—
352	C₂²×C₄×C₃₇	C₂⁴	1	8	yes	—
353	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
354	C₂²×C₄×C₃₇	C₂⁴	1	4	yes	—
355	C₂²×C₄×C₃₇	C₂⁴	1	16	yes	—
356	C₂²×C₄×C₃₇	C₂⁴	1	8	yes	—
357	C₂²×C₄×C₃₇	C₂⁴	1	16	yes	—
358	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
359	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
360	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
361	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
362	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
363	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
364	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
365	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
366	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
367	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
368	C₄⋊C₄×C₃₇	C₂⁴	1	16	yes	—
369	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
370	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
371	C₄⋊C₄×C₃₇	C₂⁴	1	16	yes	—
372	C₄⋊C₄×C₃₇	C₂⁴	1	16	yes	—
373	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
374	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
375	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
376	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
377	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
378	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
379	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
380	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
381	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
382	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
383	C₄⋊C₄×C₃₇	C₂⁴	1	4	yes	—
384	C₄⋊C₄×C₃₇	C₂⁴	1	8	yes	—
385	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
386	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
387	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
388	C₂²⋊C₄×C₃₇	C₂⁴	1	16	yes	—
389	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
390	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
391	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
392	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
393	C₂²⋊C₄×C₃₇	C₂⁴	1	16	yes	—
394	C₂²⋊C₄×C₃₇	C₂⁴	1	16	yes	—
395	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
396	C₂²⋊C₄×C₃₇	C₂⁴	1	16	yes	—
397	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
398	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
399	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
400	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
401	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
402	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
403	C₂²⋊C₄×C₃₇	C₂⁴	1	4	yes	—
404	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
405	C₂²⋊C₄×C₃₇	C₂⁴	1	8	yes	—
406	C₄²×C₃₇	C₂⁴	1	4	yes	—
407	C₄²×C₃₇	C₂⁴	1	2	yes	—
408	C₄²×C₃₇	C₂⁴	1	4	yes	—
409	C₄²×C₃₇	C₂⁴	1	8	yes	—
410	C₄²×C₃₇	C₂⁴	1	8	yes	—
411	C₄²×C₃₇	C₂⁴	1	4	yes	—
412	C₄²×C₃₇	C₂⁴	1	2	yes	—
413	C₄²×C₃₇	C₂⁴	1	4	yes	—
414	C₄²×C₃₇	C₂⁴	1	4	yes	—
415	C₄²×C₃₇	C₂⁴	1	8	yes	—
416	C₄²×C₃₇	C₂⁴	1	8	yes	—
417	C₂³×C₃₇	—	2	4	no	—
418	C₂³×C₃₇	—	4	2	no	—
419	C₂³×C₃₇	—	4	2	no	—
420	C₂³×C₃₇	—	4	8	no	—
421	C₂³×C₃₇	—	4	8	no	—
422	C₂³×C₃₇	—	4	8	no	—
423	C₂³×C₃₇	C₂⁵	1	4	yes	—
424	C₂³×C₃₇	C₂⁵	1	8	yes	—
425	C₂³×C₃₇	C₂⁵	1	4	yes	—
426	C₂³×C₃₇	C₂⁵	1	1	yes	characteristic
427	Q₈×C₃₇	—	2	16	no	—
428	Q₈×C₃₇	—	2	4	no	—
429	Q₈×C₃₇	—	2	8	no	—
430	Q₈×C₃₇	—	2	4	no	—
431	Q₈×C₃₇	—	4	16	no	—
432	Q₈×C₃₇	—	4	2	no	—
433	Q₈×C₃₇	—	4	4	no	—
434	D₄×C₃₇	—	2	16	no	—
435	D₄×C₃₇	—	2	8	no	—
436	D₄×C₃₇	—	2	8	no	—
437	D₄×C₃₇	—	2	8	no	—
438	D₄×C₃₇	—	2	4	no	—
439	D₄×C₃₇	—	2	8	no	—
440	D₄×C₃₇	—	4	16	no	—
441	D₄×C₃₇	—	4	8	no	—
442	D₄×C₃₇	—	4	8	no	—
443	D₄×C₃₇	—	4	4	no	—
444	D₄×C₃₇	—	4	8	no	—
445	D₄×C₃₇	—	4	4	no	—
446	D₄×C₃₇	—	4	8	no	—
447	D₄×C₃₇	—	4	8	no	—
448	D₄×C₃₇	—	4	16	no	—
449	C₂×C₄×C₃₇	—	2	8	no	—
450	C₂×C₄×C₃₇	—	2	16	no	—
451	C₂×C₄×C₃₇	—	2	8	no	—
452	C₂×C₄×C₃₇	—	2	2	no	—
453	C₂×C₄×C₃₇	—	2	8	no	—
454	C₂×C₄×C₃₇	—	2	8	no	—
455	C₂×C₄×C₃₇	—	4	4	no	—
456	C₂×C₄×C₃₇	—	4	2	no	—
457	C₂×C₄×C₃₇	—	4	8	no	—
458	C₂×C₄×C₃₇	—	4	2	no	—
459	C₂×C₄×C₃₇	—	4	1	no	—
460	C₂×C₄×C₃₇	—	4	4	no	—
461	C₂×C₄×C₃₇	—	4	8	no	—
462	C₂×C₄×C₃₇	—	4	2	no	—
463	C₂×C₄×C₃₇	—	4	16	no	—
464	C₂×C₄×C₃₇	—	4	16	no	—
465	C₂×C₄×C₃₇	—	4	8	no	—
466	C₂×C₄×C₃₇	H(5,𝔽₂)	1	4	yes	—
467	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
468	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
469	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
470	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
471	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
472	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
473	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
474	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
475	C₂×C₄×C₃₇	C₂⁵	1	4	yes	—
476	C₂×C₄×C₃₇	C₂⁵	1	8	yes	—
477	C₂×C₄×C₃₇	C₂⁵	1	8	yes	—
478	C₂×C₄×C₃₇	C₂⁵	1	2	yes	—
479	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
480	#62931	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
481	C₂²×C₃₇	—	2	1	no	—
482	C₂²×C₃₇	—	2	1	no	—
483	C₂²×C₃₇	—	2	4	no	—
484	C₂²×C₃₇	—	2	8	no	—
485	C₂²×C₃₇	—	2	4	no	—
486	C₂²×C₃₇	—	2	4	no	—
487	C₂²×C₃₇	—	2	4	no	—
488	C₂²×C₃₇	—	2	8	no	—
489	C₂²×C₃₇	—	2	4	no	—
490	C₂²×C₃₇	—	2	8	no	—
491	C₂²×C₃₇	—	2	4	no	—
492	C₂²×C₃₇	—	8	4	no	—
493	C₂²×C₃₇	—	16	8	no	—
494	C₂²×C₃₇	C₂×H(5,𝔽₂)	1	2	yes	—
495	C₂²×C₃₇	C₂⁶	1	1	yes	characteristic
496	C₄×C₃₇	—	2	8	no	—
497	C₄×C₃₇	—	2	4	no	—
498	C₄×C₃₇	—	2	8	no	—
499	C₄×C₃₇	—	2	1	no	—
500	C₄×C₃₇	—	2	4	no	—
501	C₄×C₃₇	—	2	4	no	—
502	C₄×C₃₇	—	2	4	no	—
503	C₄×C₃₇	—	2	2	no	—
504	C₄×C₃₇	—	2	4	no	—
505	C₄×C₃₇	—	2	2	no	—
506	C₄×C₃₇	—	2	2	no	—
507	C₄×C₃₇	C₂×H(5,𝔽₂)	1	4	yes	—
508	C₄×C₃₇	#585	1	2	yes	—
509	#3562	C₂×C₃₇	1	8	yes	complemented
510	#3561	C₂×C₃₇	1	8	yes	complemented
511	#3560	C₂×C₃₇	1	8	yes	complemented
512	#3552	C₂×C₃₇	1	4	yes	complemented
513	#3546	C₂×C₃₇	1	4	yes	complemented
514	#3536	C₂×C₃₇	1	4	yes	complemented
515	#3514	C₂×C₃₇	1	4	yes	complemented
516	#3511	C₂×C₃₇	1	4	yes	complemented
517	#3500	C₂×C₃₇	1	4	yes	complemented
518	#3499	C₂×C₃₇	1	2	yes	complemented
519	#3497	C₂×C₃₇	1	2	yes	complemented
520	#3496	C₂×C₃₇	1	1	yes	characteristic, complemented
521	#3494	C₂×C₃₇	1	4	yes	complemented
522	#3480	C₂×C₃₇	1	2	yes	complemented
523	C₂×#556	C₂×C₃₇	1	1	yes	characteristic, complemented
524	#3461	C₂×C₃₇	1	2	yes	complemented
525	#3460	C₂×C₃₇	1	1	yes	characteristic, complemented
526	C₂×C₃₇	—	2	2	no	—
527	C₂×C₃₇	—	4	4	no	—
528	C₂×C₃₇	—	4	4	no	—
529	C₂×C₃₇	—	4	8	no	—
530	C₂×C₃₇	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
531	C₂×C₃₇	C₂×#585	1	1	yes	characteristic
532	C₂×C₃₇	2₋¹⁺⁶	1	1	yes	characteristic
533	C₂×2₋¹⁺⁴	C₂²×C₃₇	1	4	yes	complemented
534	C₂×H(5,𝔽₂)	C₂²×C₃₇	1	2	yes	—
535	#563	C₂²×C₃₇	1	16	yes	complemented
536	#562	C₂²×C₃₇	1	16	yes	complemented
537	#560	C₂²×C₃₇	1	16	yes	complemented
538	#559	C₂²×C₃₇	1	2	yes	complemented
539	#559	C₂²×C₃₇	1	4	yes	complemented
540	#557	C₂²×C₃₇	1	2	yes	complemented
541	#556	C₂²×C₃₇	1	4	yes	complemented
542	#556	C₂²×C₃₇	1	4	yes	complemented
543	#556	C₂²×C₃₇	1	8	yes	complemented
544	#556	C₂²×C₃₇	1	2	yes	complemented
545	#556	C₂²×C₃₇	1	4	yes	complemented
546	#555	C₂²×C₃₇	1	8	yes	complemented
547	#554	C₂²×C₃₇	1	8	yes	complemented
548	#553	C₂²×C₃₇	1	4	yes	complemented
549	#553	C₂²×C₃₇	1	8	yes	complemented
550	#553	C₂²×C₃₇	1	8	yes	complemented
551	#553	C₂²×C₃₇	1	16	yes	complemented
552	#551	C₂²×C₃₇	1	16	yes	complemented
553	#551	C₂²×C₃₇	1	16	yes	complemented
554	#550	C₂²×C₃₇	1	2	yes	complemented
555	#550	C₂²×C₃₇	1	8	yes	complemented
556	D₄×Q₈	C₂²×C₃₇	1	8	yes	complemented
557	D₄×Q₈	C₂²×C₃₇	1	4	yes	complemented
558	D₄×Q₈	C₂²×C₃₇	1	4	yes	complemented
559	#548	C₂²×C₃₇	1	4	yes	complemented
560	#548	C₂²×C₃₇	1	8	yes	complemented
561	#548	C₂²×C₃₇	1	8	yes	complemented
562	#548	C₂²×C₃₇	1	8	yes	complemented
563	#548	C₂²×C₃₇	1	8	yes	complemented
564	#547	C₂²×C₃₇	1	4	yes	—
565	#547	C₂²×C₃₇	1	8	yes	complemented
566	#547	C₂²×C₃₇	1	4	yes	complemented
567	#547	C₂²×C₃₇	1	8	yes	complemented
568	#547	C₂²×C₃₇	1	4	yes	complemented
569	#546	C₂²×C₃₇	1	8	yes	—
570	#546	C₂²×C₃₇	1	16	yes	complemented
571	#546	C₂²×C₃₇	1	8	yes	complemented
572	#546	C₂²×C₃₇	1	16	yes	complemented
573	#546	C₂²×C₃₇	1	8	yes	complemented
574	#546	C₂²×C₃₇	1	8	yes	complemented
575	D₄²	C₂²×C₃₇	1	4	yes	—
576	#544	C₂²×C₃₇	1	1	yes	characteristic, complemented
577	#544	C₂²×C₃₇	1	4	yes	complemented
578	#543	C₂²×C₃₇	1	8	yes	complemented
579	#542	C₂²×C₃₇	1	4	yes	complemented
580	#542	C₂²×C₃₇	1	8	yes	complemented
581	#542	C₂²×C₃₇	1	8	yes	complemented
582	#542	C₂²×C₃₇	1	16	yes	complemented
583	#542	C₂²×C₃₇	1	8	yes	complemented
584	#541	C₂²×C₃₇	1	8	yes	complemented
585	#540	C₂²×C₃₇	1	4	yes	complemented
586	#540	C₂²×C₃₇	1	8	yes	complemented
587	#539	C₂²×C₃₇	1	8	yes	complemented
588	#539	C₂²×C₃₇	1	16	yes	complemented
589	#538	C₂²×C₃₇	1	4	yes	complemented
590	#538	C₂²×C₃₇	1	16	yes	complemented
591	#538	C₂²×C₃₇	1	8	yes	complemented
592	#538	C₂²×C₃₇	1	16	yes	complemented
593	#537	C₂²×C₃₇	1	2	yes	—
594	#537	C₂²×C₃₇	1	1	yes	characteristic, complemented
595	#537	C₂²×C₃₇	1	8	yes	complemented
596	#537	C₂²×C₃₇	1	8	yes	complemented
597	#536	C₂²×C₃₇	1	4	yes	complemented
598	#536	C₂²×C₃₇	1	8	yes	complemented
599	#536	C₂²×C₃₇	1	8	yes	complemented
600	#535	C₂²×C₃₇	1	2	yes	—
601	#535	C₂²×C₃₇	1	4	yes	complemented
602	#535	C₂²×C₃₇	1	8	yes	complemented
603	#534	C₂²×C₃₇	1	4	yes	—
604	#533	C₂²×C₃₇	1	8	yes	complemented
605	#532	C₂²×C₃₇	1	2	yes	—
606	#532	C₂²×C₃₇	1	4	yes	complemented
607	#532	C₂²×C₃₇	1	4	yes	complemented
608	#532	C₂²×C₃₇	1	8	yes	complemented
609	#532	C₂²×C₃₇	1	4	yes	complemented
610	#532	C₂²×C₃₇	1	8	yes	complemented
611	C₂×C₄⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
612	C₂×C₄⋊Q₈	C₂²×C₃₇	1	4	yes	complemented
613	#529	C₂²×C₃₇	1	4	yes	complemented
614	#529	C₂²×C₃₇	1	8	yes	complemented
615	#529	C₂²×C₃₇	1	8	yes	complemented
616	#529	C₂²×C₃₇	1	4	yes	complemented
617	#529	C₂²×C₃₇	1	8	yes	complemented
618	C₂×#126	C₂²×C₃₇	1	4	yes	complemented
619	C₂×#124	C₂²×C₃₇	1	2	yes	—
620	C₂×#124	C₂²×C₃₇	1	8	yes	complemented
621	#525	C₂²×C₃₇	1	4	yes	complemented
622	C₂×C₂²⋊Q₈	C₂²×C₃₇	1	2	yes	complemented
623	C₂×#121	C₂²×C₃₇	1	4	yes	—
624	#520	C₂²×C₃₇	1	4	yes	complemented
625	#518	C₂²×C₃₇	1	4	yes	complemented
626	C₄×#41	C₂²×C₃₇	1	2	yes	complemented
627	C₄×#41	C₂²×C₃₇	1	4	yes	complemented
628	C₄×#41	C₂²×C₃₇	1	4	yes	complemented
629	C₂×C₄×Q₈	C₂²×C₃₇	1	2	yes	complemented
630	C₂×C₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
631	C₂×C₄×D₄	C₂²×C₃₇	1	1	yes	characteristic
632	C₂×#117	C₂²×C₃₇	1	2	yes	complemented
633	C₃₇	#62931	1	1	yes	characteristic, direct product factor, Sylow
634	2₋¹⁺⁴	—	4	16	no	—
635	H(5,𝔽₂)	—	4	8	no	—
636	C₂×#41	C₂³×C₃₇	1	4	yes	—
637	C₂×#41	C₂³×C₃₇	1	2	yes	—
638	C₂×#41	C₂³×C₃₇	1	4	yes	—
639	C₂×#41	C₂³×C₃₇	1	4	yes	—
640	C₂×#41	C₂³×C₃₇	1	8	yes	—
641	C₂×#41	C₂³×C₃₇	1	8	yes	—
642	C₂×#41	C₂³×C₃₇	1	8	yes	—
643	C₂×#41	C₂³×C₃₇	1	16	yes	—
644	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
645	C₂²×Q₈	C₂³×C₃₇	1	1	yes	characteristic
646	C₂²×Q₈	C₂³×C₃₇	1	8	yes	—
647	C₂²×Q₈	C₂³×C₃₇	1	8	yes	—
648	C₂²×D₄	C₂³×C₃₇	1	1	yes	characteristic
649	C₂²×D₄	C₂³×C₃₇	1	4	yes	—
650	C₂²×D₄	C₂³×C₃₇	1	8	yes	—
651	C₂²×D₄	C₂³×C₃₇	1	8	yes	—
652	C₂³×C₄	C₂³×C₃₇	1	2	yes	—
653	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
654	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
655	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
656	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
657	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
658	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
659	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
660	C₄⋊Q₈	C₂³×C₃₇	1	4	yes	—
661	C₄⋊Q₈	C₂³×C₃₇	1	8	yes	—
662	#127	C₂³×C₃₇	1	2	yes	—
663	#127	C₂³×C₃₇	1	4	yes	—
664	#127	C₂³×C₃₇	1	4	yes	—
665	#127	C₂³×C₃₇	1	8	yes	—
666	#126	C₂³×C₃₇	1	16	yes	—
667	#126	C₂³×C₃₇	1	16	yes	—
668	#126	C₂³×C₃₇	1	16	yes	—
669	#126	C₂³×C₃₇	1	8	yes	—
670	#126	C₂³×C₃₇	1	8	yes	—
671	#126	C₂³×C₃₇	1	16	yes	—
672	#126	C₂³×C₃₇	1	8	yes	—
673	#126	C₂³×C₃₇	1	8	yes	—
674	#125	C₂³×C₃₇	1	4	yes	—
675	#125	C₂³×C₃₇	1	8	yes	—
676	#125	C₂³×C₃₇	1	8	yes	—
677	#125	C₂³×C₃₇	1	4	yes	—
678	#125	C₂³×C₃₇	1	16	yes	—
679	#124	C₂³×C₃₇	1	8	yes	—
680	#124	C₂³×C₃₇	1	8	yes	—
681	#124	C₂³×C₃₇	1	4	yes	—
682	#124	C₂³×C₃₇	1	4	yes	—
683	#124	C₂³×C₃₇	1	8	yes	—
684	#124	C₂³×C₃₇	1	16	yes	—
685	#124	C₂³×C₃₇	1	16	yes	—
686	#124	C₂³×C₃₇	1	8	yes	—
687	#124	C₂³×C₃₇	1	8	yes	—
688	#124	C₂³×C₃₇	1	4	yes	—
689	#124	C₂³×C₃₇	1	4	yes	—
690	#124	C₂³×C₃₇	1	4	yes	—
691	#124	C₂³×C₃₇	1	8	yes	—
692	#124	C₂³×C₃₇	1	16	yes	—
693	#123	C₂³×C₃₇	1	8	yes	—
694	#123	C₂³×C₃₇	1	16	yes	—
695	#123	C₂³×C₃₇	1	8	yes	—
696	#123	C₂³×C₃₇	1	8	yes	—
697	#123	C₂³×C₃₇	1	8	yes	—
698	#123	C₂³×C₃₇	1	16	yes	—
699	#123	C₂³×C₃₇	1	8	yes	—
700	#123	C₂³×C₃₇	1	16	yes	—
701	#123	C₂³×C₃₇	1	16	yes	—
702	#123	C₂³×C₃₇	1	16	yes	—
703	#123	C₂³×C₃₇	1	16	yes	—
704	#123	C₂³×C₃₇	1	16	yes	—
705	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
706	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
707	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
708	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
709	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
710	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
711	C₂²⋊Q₈	C₂³×C₃₇	1	4	yes	—
712	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
713	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
714	C₂²⋊Q₈	C₂³×C₃₇	1	8	yes	—
715	C₂²⋊Q₈	C₂³×C₃₇	1	16	yes	—
716	C₂²⋊Q₈	C₂³×C₃₇	1	16	yes	—
717	C₂²⋊Q₈	C₂³×C₃₇	1	16	yes	—
718	C₂²⋊Q₈	C₂³×C₃₇	1	16	yes	—
719	C₂²⋊Q₈	C₂³×C₃₇	1	16	yes	—
720	C₂²⋊Q₈	C₂³×C₃₇	1	16	yes	—
721	C₂²⋊Q₈	C₂³×C₃₇	1	16	yes	—
722	#121	C₂³×C₃₇	1	4	yes	—
723	#121	C₂³×C₃₇	1	8	yes	—
724	#121	C₂³×C₃₇	1	8	yes	—
725	#121	C₂³×C₃₇	1	8	yes	—
726	#121	C₂³×C₃₇	1	4	yes	—
727	#121	C₂³×C₃₇	1	4	yes	—
728	#121	C₂³×C₃₇	1	4	yes	—
729	#121	C₂³×C₃₇	1	4	yes	—
730	#121	C₂³×C₃₇	1	8	yes	—
731	#121	C₂³×C₃₇	1	8	yes	—
732	#121	C₂³×C₃₇	1	4	yes	—
733	#121	C₂³×C₃₇	1	8	yes	—
734	#121	C₂³×C₃₇	1	4	yes	—
735	#121	C₂³×C₃₇	1	8	yes	—
736	#121	C₂³×C₃₇	1	8	yes	—
737	#121	C₂³×C₃₇	1	4	yes	—
738	#121	C₂³×C₃₇	1	16	yes	—
739	#121	C₂³×C₃₇	1	8	yes	—
740	#121	C₂³×C₃₇	1	16	yes	—
741	#121	C₂³×C₃₇	1	8	yes	—
742	#121	C₂³×C₃₇	1	16	yes	—
743	#121	C₂³×C₃₇	1	16	yes	—
744	#121	C₂³×C₃₇	1	16	yes	—
745	#121	C₂³×C₃₇	1	16	yes	—
746	#120	C₂³×C₃₇	1	8	yes	—
747	#120	C₂³×C₃₇	1	16	yes	—
748	#120	C₂³×C₃₇	1	16	yes	—
749	#120	C₂³×C₃₇	1	16	yes	—
750	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
751	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
752	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
753	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
754	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
755	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
756	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
757	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
758	C₄×Q₈	C₂³×C₃₇	1	4	yes	—
759	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
760	C₄×Q₈	C₂³×C₃₇	1	8	yes	—
761	C₄×D₄	C₂³×C₃₇	1	4	yes	—
762	C₄×D₄	C₂³×C₃₇	1	4	yes	—
763	C₄×D₄	C₂³×C₃₇	1	4	yes	—
764	C₄×D₄	C₂³×C₃₇	1	4	yes	—
765	C₄×D₄	C₂³×C₃₇	1	8	yes	—
766	C₄×D₄	C₂³×C₃₇	1	4	yes	—
767	C₄×D₄	C₂³×C₃₇	1	4	yes	—
768	C₄×D₄	C₂³×C₃₇	1	8	yes	—
769	C₄×D₄	C₂³×C₃₇	1	2	yes	—
770	C₄×D₄	C₂³×C₃₇	1	4	yes	—
771	C₄×D₄	C₂³×C₃₇	1	8	yes	—
772	C₄×D₄	C₂³×C₃₇	1	8	yes	—
773	C₄×D₄	C₂³×C₃₇	1	2	yes	—
774	C₄×D₄	C₂³×C₃₇	1	4	yes	—
775	C₄×D₄	C₂³×C₃₇	1	8	yes	—
776	C₄×D₄	C₂³×C₃₇	1	8	yes	—
777	C₄×D₄	C₂³×C₃₇	1	8	yes	—
778	C₄×D₄	C₂³×C₃₇	1	8	yes	—
779	C₄×D₄	C₂³×C₃₇	1	16	yes	—
780	C₄×D₄	C₂³×C₃₇	1	8	yes	—
781	C₄×D₄	C₂³×C₃₇	1	4	yes	—
782	C₄×D₄	C₂³×C₃₇	1	8	yes	—
783	C₄×D₄	C₂³×C₃₇	1	8	yes	—
784	C₄×D₄	C₂³×C₃₇	1	16	yes	—
785	C₄×D₄	C₂³×C₃₇	1	16	yes	—
786	#117	C₂³×C₃₇	1	4	yes	—
787	#117	C₂³×C₃₇	1	4	yes	—
788	#117	C₂³×C₃₇	1	8	yes	—
789	#117	C₂³×C₃₇	1	2	yes	—
790	#117	C₂³×C₃₇	1	4	yes	—
791	#117	C₂³×C₃₇	1	8	yes	—
792	#117	C₂³×C₃₇	1	4	yes	—
793	#117	C₂³×C₃₇	1	8	yes	—
794	#117	C₂³×C₃₇	1	4	yes	—
795	#117	C₂³×C₃₇	1	16	yes	—
796	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
797	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
798	C₂×C₄⋊C₄	C₂³×C₃₇	1	1	yes	characteristic
799	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
800	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
801	C₂×C₄⋊C₄	C₂³×C₃₇	1	4	yes	—
802	C₂×C₄⋊C₄	C₂³×C₃₇	1	8	yes	—
803	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
804	C₂×C₄⋊C₄	C₂³×C₃₇	1	8	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₃₇	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₃₇	1	16	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₃₇	1	8	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₃₇	1	4	yes	—
810	C₂×C₂²⋊C₄	C₂³×C₃₇	1	16	yes	—
811	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
812	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
813	C₂×C₄²	C₂³×C₃₇	1	2	yes	—
814	C₂×C₄²	C₂³×C₃₇	1	8	yes	—
815	C₂×C₄²	C₂³×C₃₇	1	4	yes	—
816	C₂⁴	C₂⁴×C₃₇	1	2	yes	—
817	C₂⁴	C₂⁴×C₃₇	1	8	yes	—
818	#41	—	2	16	no	—
819	#41	—	2	8	no	—
820	#41	—	4	8	no	—
821	#41	—	4	32	no	—
822	#41	—	4	8	no	—
823	#41	—	4	16	no	—
824	#41	—	4	16	no	—
825	#41	—	4	16	no	—
826	C₂×Q₈	—	2	8	no	—
827	C₂×Q₈	—	4	2	no	—
828	C₂×Q₈	—	4	16	no	—
829	C₂×Q₈	—	4	16	no	—
830	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
831	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
832	C₂×Q₈	C₂⁴×C₃₇	1	8	yes	—
833	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
834	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
835	C₂×Q₈	C₂⁴×C₃₇	1	4	yes	—
836	C₂×Q₈	C₂⁴×C₃₇	1	16	yes	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	4	8	no	—
839	C₂×D₄	—	4	16	no	—
840	C₂×D₄	—	4	16	no	—
841	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
842	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
843	C₂×D₄	C₂⁴×C₃₇	1	8	yes	—
844	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
845	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
846	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
847	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
848	C₂×D₄	C₂⁴×C₃₇	1	8	yes	—
849	C₂×D₄	C₂⁴×C₃₇	1	8	yes	—
850	C₂×D₄	C₂⁴×C₃₇	1	8	yes	—
851	C₂×D₄	C₂⁴×C₃₇	1	8	yes	—
852	C₂×D₄	C₂⁴×C₃₇	1	8	yes	—
853	C₂×D₄	C₂⁴×C₃₇	1	4	yes	—
854	C₂×D₄	C₂⁴×C₃₇	1	16	yes	—
855	C₂×D₄	C₂⁴×C₃₇	1	16	yes	—
856	C₂²×C₄	—	4	4	no	—
857	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
858	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
860	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
861	C₂²×C₄	C₂⁴×C₃₇	1	8	yes	—
862	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
863	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
865	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
867	C₂²×C₄	C₂⁴×C₃₇	1	8	yes	—
868	C₂²×C₄	C₂⁴×C₃₇	1	8	yes	—
869	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
870	C₂²×C₄	C₂⁴×C₃₇	1	4	yes	—
871	C₂²×C₄	C₂⁴×C₃₇	1	16	yes	—
872	C₂²×C₄	C₂⁴×C₃₇	1	8	yes	—
873	C₂²×C₄	C₂⁴×C₃₇	1	16	yes	—
874	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
875	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
876	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
877	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
878	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
879	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
880	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
881	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
882	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
883	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
884	C₄⋊C₄	C₂⁴×C₃₇	1	16	yes	—
885	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
886	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
887	C₄⋊C₄	C₂⁴×C₃₇	1	16	yes	—
888	C₄⋊C₄	C₂⁴×C₃₇	1	16	yes	—
889	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
890	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
891	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
892	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
893	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
894	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
895	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
896	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
897	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
898	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
899	C₄⋊C₄	C₂⁴×C₃₇	1	4	yes	—
900	C₄⋊C₄	C₂⁴×C₃₇	1	8	yes	—
901	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
902	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
903	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
904	C₂²⋊C₄	C₂⁴×C₃₇	1	16	yes	—
905	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
906	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
907	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
908	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
909	C₂²⋊C₄	C₂⁴×C₃₇	1	16	yes	—
910	C₂²⋊C₄	C₂⁴×C₃₇	1	16	yes	—
911	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
912	C₂²⋊C₄	C₂⁴×C₃₇	1	16	yes	—
913	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
914	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
915	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
916	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
917	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
918	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
919	C₂²⋊C₄	C₂⁴×C₃₇	1	4	yes	—
920	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
921	C₂²⋊C₄	C₂⁴×C₃₇	1	8	yes	—
922	C₄²	C₂⁴×C₃₇	1	4	yes	—
923	C₄²	C₂⁴×C₃₇	1	2	yes	—
924	C₄²	C₂⁴×C₃₇	1	4	yes	—
925	C₄²	C₂⁴×C₃₇	1	8	yes	—
926	C₄²	C₂⁴×C₃₇	1	8	yes	—
927	C₄²	C₂⁴×C₃₇	1	4	yes	—
928	C₄²	C₂⁴×C₃₇	1	2	yes	—
929	C₄²	C₂⁴×C₃₇	1	4	yes	—
930	C₄²	C₂⁴×C₃₇	1	4	yes	—
931	C₄²	C₂⁴×C₃₇	1	8	yes	—
932	C₄²	C₂⁴×C₃₇	1	8	yes	—
933	C₂³	—	2	4	no	—
934	C₂³	—	4	2	no	—
935	C₂³	—	4	2	no	—
936	C₂³	—	4	8	no	—
937	C₂³	—	4	8	no	—
938	C₂³	—	4	8	no	—
939	C₂³	C₂⁵×C₃₇	1	4	yes	—
940	C₂³	C₂⁵×C₃₇	1	8	yes	—
941	C₂³	C₂⁵×C₃₇	1	4	yes	—
942	C₂³	C₂⁵×C₃₇	1	1	yes	characteristic
943	Q₈	—	2	16	no	—
944	Q₈	—	2	4	no	—
945	Q₈	—	2	8	no	—
946	Q₈	—	2	4	no	—
947	Q₈	—	4	16	no	—
948	Q₈	—	4	2	no	—
949	Q₈	—	4	4	no	—
950	D₄	—	2	16	no	—
951	D₄	—	2	8	no	—
952	D₄	—	2	8	no	—
953	D₄	—	2	8	no	—
954	D₄	—	2	4	no	—
955	D₄	—	2	8	no	—
956	D₄	—	4	16	no	—
957	D₄	—	4	8	no	—
958	D₄	—	4	16	no	—
959	D₄	—	4	4	no	—
960	D₄	—	4	8	no	—
961	D₄	—	4	8	no	—
962	D₄	—	4	8	no	—
963	D₄	—	4	4	no	—
964	D₄	—	4	8	no	—
965	C₂×C₄	—	2	8	no	—
966	C₂×C₄	—	2	16	no	—
967	C₂×C₄	—	2	8	no	—
968	C₂×C₄	—	2	2	no	—
969	C₂×C₄	—	2	8	no	—
970	C₂×C₄	—	2	8	no	—
971	C₂×C₄	—	4	4	no	—
972	C₂×C₄	—	4	2	no	—
973	C₂×C₄	—	4	8	no	—
974	C₂×C₄	—	4	16	no	—
975	C₂×C₄	—	4	16	no	—
976	C₂×C₄	—	4	2	no	—
977	C₂×C₄	—	4	8	no	—
978	C₂×C₄	—	4	8	no	—
979	C₂×C₄	—	4	2	no	—
980	C₂×C₄	—	4	1	no	—
981	C₂×C₄	—	4	4	no	—
982	C₂×C₄	H(5,𝔽₂)×C₃₇	1	4	yes	—
983	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
984	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
985	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
986	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
987	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
988	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
989	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
990	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
991	C₂×C₄	C₂⁵×C₃₇	1	4	yes	—
992	C₂×C₄	C₂⁵×C₃₇	1	8	yes	—
993	C₂×C₄	C₂⁵×C₃₇	1	8	yes	—
994	C₂×C₄	C₂⁵×C₃₇	1	2	yes	—
995	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
996	C₂²	—	2	1	no	—
997	C₂²	—	2	1	no	—
998	C₂²	—	2	4	no	—
999	C₂²	—	2	8	no	—
1000	C₂²	—	2	4	no	—
1001	C₂²	—	2	4	no	—
1002	C₂²	—	2	4	no	—
1003	C₂²	—	2	8	no	—
1004	C₂²	—	2	4	no	—
1005	C₂²	—	2	8	no	—
1006	C₂²	—	2	4	no	—
1007	C₂²	—	8	4	no	—
1008	C₂²	—	16	8	no	—
1009	C₂²	C₂×H(5,𝔽₂)×C₃₇	1	2	yes	—
1010	C₂²	C₂⁶×C₃₇	1	1	yes	characteristic
1011	C₄	—	2	8	no	—
1012	C₄	—	2	4	no	—
1013	C₄	—	2	8	no	—
1014	C₄	—	2	1	no	—
1015	C₄	—	2	4	no	—
1016	C₄	—	2	4	no	—
1017	C₄	—	2	4	no	—
1018	C₄	—	2	2	no	—
1019	C₄	—	2	4	no	—
1020	C₄	—	2	2	no	—
1021	C₄	—	2	2	no	—
1022	C₄	C₂×H(5,𝔽₂)×C₃₇	1	4	yes	—
1023	C₄	C₃₇×#585	1	2	yes	—
1024	C₂	—	2	2	no	—
1025	C₂	—	4	4	no	—
1026	C₂	—	4	8	no	—
1027	C₂	—	4	4	no	—
1028	C₂	C₂²×H(5,𝔽₂)×C₃₇	1	1	yes	characteristic
1029	C₂	C₂×C₃₇×#585	1	1	yes	characteristic
1030	C₂	C₃₇×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₇	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₃₇
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3562	C₂	semidirect
2. C₃₇×#3561	C₂	semidirect
3. C₃₇×#3560	C₂	semidirect
4. C₃₇×#3552	C₂	semidirect
5. C₃₇×#3546	C₂	semidirect
6. C₃₇×#3536	C₂	semidirect
7. C₃₇×#3514	C₂	semidirect
8. C₃₇×#3511	C₂	semidirect
9. C₃₇×#3500	C₂	semidirect
10. C₃₇×#3499	C₂	semidirect
11. C₃₇×#3497	C₂	semidirect
12. C₃₇×#3496	C₂	semidirect
13. C₃₇×#3494	C₂	semidirect
14. C₃₇×#3480	C₂	semidirect
15. C₂×C₃₇×#556	C₂	semidirect
16. C₃₇×#3461	C₂	semidirect
17. C₃₇×#3460	C₂	semidirect
18. C₂×2₋¹⁺⁴×C₃₇	C₂²	semidirect
20. C₃₇×#563	C₂²	semidirect
21. C₃₇×#562	C₂²	semidirect
22. C₃₇×#560	C₂²	semidirect
23. C₃₇×#559	C₂²	semidirect
24. C₃₇×#559	C₂²	semidirect
25. C₃₇×#557	C₂²	semidirect
26. C₃₇×#556	C₂²	semidirect
27. C₃₇×#556	C₂²	semidirect
28. C₃₇×#556	C₂²	semidirect
29. C₃₇×#556	C₂²	semidirect
30. C₃₇×#556	C₂²	semidirect
31. C₃₇×#555	C₂²	semidirect
32. C₃₇×#554	C₂²	semidirect
33. C₃₇×#553	C₂²	semidirect
34. C₃₇×#553	C₂²	semidirect
35. C₃₇×#553	C₂²	semidirect
36. C₃₇×#553	C₂²	semidirect
37. C₃₇×#551	C₂²	semidirect
38. C₃₇×#551	C₂²	semidirect
39. C₃₇×#550	C₂²	semidirect
40. C₃₇×#550	C₂²	semidirect
41. D₄×Q₈×C₃₇	C₂²	semidirect
42. D₄×Q₈×C₃₇	C₂²	semidirect
43. D₄×Q₈×C₃₇	C₂²	semidirect
44. C₃₇×#548	C₂²	semidirect
45. C₃₇×#548	C₂²	semidirect
46. C₃₇×#548	C₂²	semidirect
47. C₃₇×#548	C₂²	semidirect
48. C₃₇×#548	C₂²	semidirect
50. C₃₇×#547	C₂²	semidirect
51. C₃₇×#547	C₂²	semidirect
52. C₃₇×#547	C₂²	semidirect
53. C₃₇×#547	C₂²	semidirect
55. C₃₇×#546	C₂²	semidirect
56. C₃₇×#546	C₂²	semidirect
57. C₃₇×#546	C₂²	semidirect
58. C₃₇×#546	C₂²	semidirect
59. C₃₇×#546	C₂²	semidirect
61. C₃₇×#544	C₂²	semidirect
62. C₃₇×#544	C₂²	semidirect
63. C₃₇×#543	C₂²	semidirect
64. C₃₇×#542	C₂²	semidirect
65. C₃₇×#542	C₂²	semidirect
66. C₃₇×#542	C₂²	semidirect
67. C₃₇×#542	C₂²	semidirect
68. C₃₇×#542	C₂²	semidirect
69. C₃₇×#541	C₂²	semidirect
70. C₃₇×#540	C₂²	semidirect
71. C₃₇×#540	C₂²	semidirect
72. C₃₇×#539	C₂²	semidirect
73. C₃₇×#539	C₂²	semidirect
74. C₃₇×#538	C₂²	semidirect
75. C₃₇×#538	C₂²	semidirect
76. C₃₇×#538	C₂²	semidirect
77. C₃₇×#538	C₂²	semidirect
79. C₃₇×#537	C₂²	semidirect
80. C₃₇×#537	C₂²	semidirect
81. C₃₇×#537	C₂²	semidirect
82. C₃₇×#536	C₂²	semidirect
83. C₃₇×#536	C₂²	semidirect
84. C₃₇×#536	C₂²	semidirect
86. C₃₇×#535	C₂²	semidirect
87. C₃₇×#535	C₂²	semidirect
89. C₃₇×#533	C₂²	semidirect
91. C₃₇×#532	C₂²	semidirect
92. C₃₇×#532	C₂²	semidirect
93. C₃₇×#532	C₂²	semidirect
94. C₃₇×#532	C₂²	semidirect
95. C₃₇×#532	C₂²	semidirect
96. C₂×C₄⋊Q₈×C₃₇	C₂²	semidirect
97. C₂×C₄⋊Q₈×C₃₇	C₂²	semidirect
98. C₃₇×#529	C₂²	semidirect
99. C₃₇×#529	C₂²	semidirect
100. C₃₇×#529	C₂²	semidirect
101. C₃₇×#529	C₂²	semidirect
102. C₃₇×#529	C₂²	semidirect
103. C₂×#126×C₃₇	C₂²	semidirect
105. C₂×#124×C₃₇	C₂²	semidirect
106. C₃₇×#525	C₂²	semidirect
107. C₂×C₂²⋊Q₈×C₃₇	C₂²	semidirect
109. C₃₇×#520	C₂²	semidirect
110. C₃₇×#518	C₂²	semidirect
111. C₄×#41×C₃₇	C₂²	semidirect
112. C₄×#41×C₃₇	C₂²	semidirect
113. C₄×#41×C₃₇	C₂²	semidirect
114. C₂×C₄×Q₈×C₃₇	C₂²	semidirect
115. C₂×C₄×Q₈×C₃₇	C₂²	semidirect
117. C₂×#117×C₃₇	C₂²	semidirect
480. #62931	C₃₇	direct (N × H)
509. #3562	C₂×C₃₇	semidirect
510. #3561	C₂×C₃₇	semidirect
511. #3560	C₂×C₃₇	semidirect
512. #3552	C₂×C₃₇	semidirect
513. #3546	C₂×C₃₇	semidirect
514. #3536	C₂×C₃₇	semidirect
515. #3514	C₂×C₃₇	semidirect
516. #3511	C₂×C₃₇	semidirect
517. #3500	C₂×C₃₇	semidirect
518. #3499	C₂×C₃₇	semidirect
519. #3497	C₂×C₃₇	semidirect
520. #3496	C₂×C₃₇	semidirect
521. #3494	C₂×C₃₇	semidirect
522. #3480	C₂×C₃₇	semidirect
523. C₂×#556	C₂×C₃₇	semidirect
524. #3461	C₂×C₃₇	semidirect
525. #3460	C₂×C₃₇	semidirect
533. C₂×2₋¹⁺⁴	C₂²×C₃₇	semidirect
535. #563	C₂²×C₃₇	semidirect
536. #562	C₂²×C₃₇	semidirect
537. #560	C₂²×C₃₇	semidirect
538. #559	C₂²×C₃₇	semidirect
539. #559	C₂²×C₃₇	semidirect
540. #557	C₂²×C₃₇	semidirect
541. #556	C₂²×C₃₇	semidirect
542. #556	C₂²×C₃₇	semidirect
543. #556	C₂²×C₃₇	semidirect
544. #556	C₂²×C₃₇	semidirect
545. #556	C₂²×C₃₇	semidirect
546. #555	C₂²×C₃₇	semidirect
547. #554	C₂²×C₃₇	semidirect
548. #553	C₂²×C₃₇	semidirect
549. #553	C₂²×C₃₇	semidirect
550. #553	C₂²×C₃₇	semidirect
551. #553	C₂²×C₃₇	semidirect
552. #551	C₂²×C₃₇	semidirect
553. #551	C₂²×C₃₇	semidirect
554. #550	C₂²×C₃₇	semidirect
555. #550	C₂²×C₃₇	semidirect
556. D₄×Q₈	C₂²×C₃₇	semidirect
557. D₄×Q₈	C₂²×C₃₇	semidirect
558. D₄×Q₈	C₂²×C₃₇	semidirect
559. #548	C₂²×C₃₇	semidirect
560. #548	C₂²×C₃₇	semidirect
561. #548	C₂²×C₃₇	semidirect
562. #548	C₂²×C₃₇	semidirect
563. #548	C₂²×C₃₇	semidirect
565. #547	C₂²×C₃₇	semidirect
566. #547	C₂²×C₃₇	semidirect
567. #547	C₂²×C₃₇	semidirect
568. #547	C₂²×C₃₇	semidirect
570. #546	C₂²×C₃₇	semidirect
571. #546	C₂²×C₃₇	semidirect
572. #546	C₂²×C₃₇	semidirect
573. #546	C₂²×C₃₇	semidirect
574. #546	C₂²×C₃₇	semidirect
576. #544	C₂²×C₃₇	semidirect
577. #544	C₂²×C₃₇	semidirect
578. #543	C₂²×C₃₇	semidirect
579. #542	C₂²×C₃₇	semidirect
580. #542	C₂²×C₃₇	semidirect
581. #542	C₂²×C₃₇	semidirect
582. #542	C₂²×C₃₇	semidirect
583. #542	C₂²×C₃₇	semidirect
584. #541	C₂²×C₃₇	semidirect
585. #540	C₂²×C₃₇	semidirect
586. #540	C₂²×C₃₇	semidirect
587. #539	C₂²×C₃₇	semidirect
588. #539	C₂²×C₃₇	semidirect
589. #538	C₂²×C₃₇	semidirect
590. #538	C₂²×C₃₇	semidirect
591. #538	C₂²×C₃₇	semidirect
592. #538	C₂²×C₃₇	semidirect
594. #537	C₂²×C₃₇	semidirect
595. #537	C₂²×C₃₇	semidirect
596. #537	C₂²×C₃₇	semidirect
597. #536	C₂²×C₃₇	semidirect
598. #536	C₂²×C₃₇	semidirect
599. #536	C₂²×C₃₇	semidirect
601. #535	C₂²×C₃₇	semidirect
602. #535	C₂²×C₃₇	semidirect
604. #533	C₂²×C₃₇	semidirect
606. #532	C₂²×C₃₇	semidirect
607. #532	C₂²×C₃₇	semidirect
608. #532	C₂²×C₃₇	semidirect
609. #532	C₂²×C₃₇	semidirect
610. #532	C₂²×C₃₇	semidirect
611. C₂×C₄⋊Q₈	C₂²×C₃₇	semidirect
612. C₂×C₄⋊Q₈	C₂²×C₃₇	semidirect
613. #529	C₂²×C₃₇	semidirect
614. #529	C₂²×C₃₇	semidirect
615. #529	C₂²×C₃₇	semidirect
616. #529	C₂²×C₃₇	semidirect
617. #529	C₂²×C₃₇	semidirect
618. C₂×#126	C₂²×C₃₇	semidirect
620. C₂×#124	C₂²×C₃₇	semidirect
621. #525	C₂²×C₃₇	semidirect
622. C₂×C₂²⋊Q₈	C₂²×C₃₇	semidirect
624. #520	C₂²×C₃₇	semidirect
625. #518	C₂²×C₃₇	semidirect
626. C₄×#41	C₂²×C₃₇	semidirect
627. C₄×#41	C₂²×C₃₇	semidirect
628. C₄×#41	C₂²×C₃₇	semidirect
629. C₂×C₄×Q₈	C₂²×C₃₇	semidirect
630. C₂×C₄×Q₈	C₂²×C₃₇	semidirect
632. C₂×#117	C₂²×C₃₇	semidirect
633. C₃₇	#62931	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×#3562	2
C₃₇×#3561	2
C₃₇×#3560	2
C₃₇×#3552	2
C₃₇×#3546	2
C₃₇×#3536	2
C₃₇×#3514	2
C₃₇×#3511	2
C₃₇×#3500	2
C₃₇×#3499	2
C₃₇×#3497	2
C₃₇×#3496	2
C₃₇×#3494	2
C₃₇×#3480	2
C₂×C₃₇×#556	2
C₃₇×#3461	2
C₃₇×#3460	2
#62931	37

Subgroups — C37×#62931 #22684184

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#62931 #22684184