Subgroups — C₃₇×#61816 #22683069

Order 9472.

1724 conjugacy classes of subgroups.

The subgroup lattice has 1128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₇×#3511	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₇×#3357	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₇×#3357	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₇×#3349	C₂	1	2	yes	maximal, complemented
6	C₃₇×#3343	C₂	1	2	yes	maximal, complemented
7	C₃₇×#3341	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃₇×#3338	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₇×#3331	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₇×#3329	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃₇×#3313	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3308	C₂	1	2	yes	maximal, complemented
13	C₃₇×#3303	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#3299	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#3238	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃₇×#3230	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₇×#3203	C₂	1	2	yes	maximal, complemented
18	C₃₇×#3201	C₂	1	2	yes	maximal, complemented
19	C₃₇×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃₇×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₇×#3098	C₂	1	2	yes	maximal, complemented
22	C₃₇×#3097	C₂	1	2	yes	maximal, complemented
23	C₃₇×#2981	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₇×#562	—	2	2	no	—
25	C₃₇×#556	C₂²	1	2	yes	—
26	C₃₇×#555	—	2	1	no	—
27	C₃₇×#555	C₂²	1	1	yes	characteristic
28	C₃₇×#555	C₂²	1	1	yes	characteristic
29	C₃₇×#555	C₂²	1	1	yes	characteristic
30	C₃₇×#554	C₂²	1	1	yes	characteristic
31	C₃₇×#554	C₂²	1	1	yes	characteristic
32	C₃₇×#554	C₂²	1	1	yes	characteristic
33	C₃₇×#553	—	2	1	no	—
34	C₃₇×#553	—	2	1	no	—
35	C₃₇×#553	—	2	1	no	—
36	C₃₇×#552	C₂²	1	2	yes	—
37	D₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic
38	C₃₇×#548	—	2	2	no	—
39	C₃₇×#548	C₂²	1	2	yes	—
40	C₃₇×#547	C₂²	1	1	yes	characteristic
41	C₃₇×#547	C₂²	1	2	yes	—
42	C₃₇×#544	—	2	1	no	—
43	C₃₇×#542	—	2	2	no	—
44	C₃₇×#542	—	2	2	no	—
45	C₃₇×#540	—	2	1	no	—
46	C₃₇×#537	C₂²	1	2	yes	—
47	C₃₇×#537	C₂²	1	2	yes	—
48	C₃₇×#536	C₂²	1	2	yes	—
49	C₃₇×#533	—	2	1	no	—
50	C₃₇×#533	C₂²	1	1	yes	characteristic
51	C₃₇×#532	—	2	1	no	—
52	C₃₇×#532	C₂²	1	1	yes	characteristic
53	C₂×C₄⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic
54	C₃₇×#529	C₂²	1	1	yes	characteristic
55	C₃₇×#520	C₂²	1	2	yes	—
56	C₄×#41×C₃₇	C₂²	1	1	yes	characteristic
57	C₃₇×#501	C₂²	1	2	yes	—
58	C₃₇×#500	C₂²	1	1	yes	characteristic
59	C₃₇×#500	C₂²	1	1	yes	characteristic
60	C₃₇×#489	C₂²	1	2	yes	—
61	C₃₇×#487	C₂²	1	1	yes	characteristic
62	C₃₇×#487	C₂²	1	1	yes	characteristic
63	C₃₇×#485	C₂²	1	2	yes	—
64	C₃₇×#485	C₂²	1	2	yes	—
65	C₃₇×#485	C₂²	1	2	yes	—
66	C₃₇×#485	C₂²	1	2	yes	—
67	C₃₇×#485	C₂²	1	1	yes	characteristic
68	C₃₇×#485	C₂²	1	2	yes	—
69	C₃₇×#484	C₂²	1	2	yes	—
70	C₃₇×#484	C₂²	1	2	yes	—
71	C₃₇×#484	C₂²	1	2	yes	—
72	C₃₇×#484	C₂²	1	2	yes	—
73	C₃₇×#484	C₂²	1	2	yes	—
74	C₃₇×#483	C₂²	1	2	yes	—
75	C₃₇×#483	C₂²	1	2	yes	—
76	C₃₇×#482	C₂²	1	2	yes	—
77	C₃₇×#482	C₂²	1	2	yes	—
78	C₃₇×#482	C₂²	1	1	yes	characteristic
79	C₃₇×#480	C₂²	1	2	yes	—
80	C₃₇×#480	C₂²	1	2	yes	—
81	C₃₇×#480	C₂²	1	2	yes	—
82	C₃₇×#479	C₂²	1	1	yes	characteristic
83	C₃₇×#478	C₂²	1	1	yes	characteristic
84	C₃₇×#477	C₂²	1	2	yes	—
85	C₃₇×#477	C₂²	1	2	yes	—
86	C₃₇×#477	C₂²	1	1	yes	characteristic
87	C₃₇×#477	C₂²	1	1	yes	characteristic
88	C₃₇×#477	C₂²	1	1	yes	characteristic
89	C₃₇×#476	C₂²	1	1	yes	characteristic
90	C₃₇×#476	C₂²	1	1	yes	characteristic
91	C₃₇×#476	C₂²	1	1	yes	characteristic
92	C₃₇×#470	C₂²	1	2	yes	—
93	C₃₇×#468	C₂²	1	2	yes	—
94	C₃₇×#468	C₂²	1	2	yes	—
95	C₃₇×#468	C₂²	1	2	yes	—
96	C₃₇×#467	C₂²	1	2	yes	—
97	C₃₇×#467	C₂²	1	2	yes	—
98	C₃₇×#466	C₂²	1	2	yes	—
99	C₃₇×#465	C₂²	1	2	yes	—
100	C₃₇×#464	C₂²	1	1	yes	characteristic
101	C₃₇×#463	C₂²	1	1	yes	characteristic
102	C₃₇×#462	C₂²	1	1	yes	characteristic
103	C₃₇×#461	C₂²	1	1	yes	characteristic
104	C₃₇×#452	C₂²	1	1	yes	characteristic
105	C₃₇×#452	C₂²	1	2	yes	—
106	C₃₇×#452	C₂²	1	2	yes	—
107	C₃₇×#451	C₂²	1	2	yes	—
108	C₃₇×#449	C₂²	1	1	yes	characteristic
109	C₃₇×#449	C₂²	1	2	yes	—
110	C₃₇×#448	C₂²	1	2	yes	—
111	C₃₇×#441	C₂²	1	2	yes	—
112	C₃₇×#440	C₂²	1	2	yes	—
113	C₄×Q₁₆×C₃₇	C₂²	1	1	yes	characteristic
114	C₄×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
115	C₄×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
116	C₄×D₈×C₃₇	C₂²	1	1	yes	characteristic
117	C₃₇×#436	C₂²	1	1	yes	characteristic
118	C₃₇×#436	C₂²	1	1	yes	characteristic
119	C₃₇×#435	C₂²	1	2	yes	—
120	C₃₇×#435	C₂²	1	2	yes	—
121	C₈×D₄×C₃₇	C₂²	1	1	yes	characteristic
122	C₈×D₄×C₃₇	C₂²	1	1	yes	characteristic
123	C₃₇×#432	C₂²	1	1	yes	characteristic
124	C₃₇×#431	C₂²	1	1	yes	characteristic
125	C₃₇×#428	C₂²	1	2	yes	—
126	C₃₇×#428	C₂²	1	2	yes	—
127	C₃₇×#427	C₂²	1	2	yes	—
128	C₂×#107×C₃₇	C₂²	1	2	yes	—
129	C₃₇×#419	C₂²	1	2	yes	—
130	C₃₇×#417	C₂²	1	2	yes	—
131	C₃₇×#416	C₂²	1	2	yes	—
132	C₂×#103×C₃₇	C₂²	1	2	yes	—
133	C₃₇×#408	C₂²	1	2	yes	—
134	C₃₇×#408	C₂²	1	2	yes	—
135	C₂×#41×C₃₇	—	2	2	no	—
136	C₂×#41×C₃₇	C₂³	1	1	yes	characteristic
137	C₂×#41×C₃₇	C₂³	1	2	yes	—
138	C₂×#41×C₃₇	C₂³	1	2	yes	—
139	C₂²×Q₈×C₃₇	—	2	1	no	—
140	C₂²×Q₈×C₃₇	C₂³	1	2	yes	—
141	C₂×Q₁₆×C₃₇	C₂³	1	1	yes	characteristic
142	C₂×Q₁₆×C₃₇	C₂³	1	2	yes	—
143	C₂×SD₁₆×C₃₇	C₂³	1	1	yes	characteristic
144	C₂×SD₁₆×C₃₇	C₂³	1	1	yes	characteristic
145	C₂×SD₁₆×C₃₇	C₂³	1	2	yes	—
146	C₂×D₈×C₃₇	C₂³	1	1	yes	characteristic
147	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
148	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
149	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
150	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
151	C₄⋊Q₈×C₃₇	—	2	2	no	—
152	C₄⋊Q₈×C₃₇	—	2	1	no	—
153	C₄⋊Q₈×C₃₇	—	2	1	no	—
154	C₄⋊Q₈×C₃₇	—	2	1	no	—
155	C₄⋊Q₈×C₃₇	D₄	1	1	yes	characteristic
156	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
157	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
158	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
159	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
160	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
161	#127×C₃₇	D₄	1	1	yes	characteristic
162	#126×C₃₇	—	2	2	no	—
163	#126×C₃₇	—	2	2	no	—
164	#126×C₃₇	—	2	2	no	—
165	#126×C₃₇	—	2	1	no	—
166	#125×C₃₇	—	2	1	no	—
167	#125×C₃₇	—	2	1	no	—
168	#125×C₃₇	—	2	2	no	—
169	#125×C₃₇	—	2	1	no	—
170	#125×C₃₇	—	2	1	no	—
171	#125×C₃₇	C₂³	1	1	yes	characteristic
172	#124×C₃₇	—	2	2	no	—
173	#124×C₃₇	—	2	2	no	—
174	#124×C₃₇	—	2	2	no	—
175	#124×C₃₇	—	2	2	no	—
176	#124×C₃₇	—	2	2	no	—
177	#124×C₃₇	—	2	2	no	—
178	#124×C₃₇	D₄	1	2	yes	—
179	#124×C₃₇	C₂³	1	1	yes	characteristic
180	#123×C₃₇	—	2	2	no	—
181	#123×C₃₇	—	2	2	no	—
182	#123×C₃₇	—	2	2	no	—
183	#123×C₃₇	—	2	1	no	—
184	#123×C₃₇	—	2	2	no	—
185	#123×C₃₇	—	2	2	no	—
186	#123×C₃₇	—	2	2	no	—
187	C₂²⋊Q₈×C₃₇	—	2	2	no	—
188	C₂²⋊Q₈×C₃₇	—	2	2	no	—
189	C₂²⋊Q₈×C₃₇	—	2	1	no	—
190	C₂²⋊Q₈×C₃₇	—	2	2	no	—
191	C₂²⋊Q₈×C₃₇	—	2	2	no	—
192	C₂²⋊Q₈×C₃₇	—	2	2	no	—
193	C₂²⋊Q₈×C₃₇	—	2	2	no	—
194	C₂²⋊Q₈×C₃₇	—	2	2	no	—
195	C₂²⋊Q₈×C₃₇	—	2	2	no	—
196	C₂²⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
197	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
198	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
199	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
200	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
201	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
202	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
203	#121×C₃₇	—	2	2	no	—
204	#121×C₃₇	—	2	1	no	—
205	#121×C₃₇	—	2	1	no	—
206	#121×C₃₇	—	2	2	no	—
207	#121×C₃₇	—	2	2	no	—
208	#121×C₃₇	—	2	2	no	—
209	#121×C₃₇	—	2	2	no	—
210	#121×C₃₇	—	2	2	no	—
211	#121×C₃₇	—	2	1	no	—
212	#121×C₃₇	—	2	2	no	—
213	#121×C₃₇	—	2	1	no	—
214	#121×C₃₇	D₄	1	2	yes	—
215	#121×C₃₇	D₄	1	1	yes	characteristic
216	#121×C₃₇	D₄	1	1	yes	characteristic
217	#121×C₃₇	C₂³	1	1	yes	characteristic
218	#121×C₃₇	C₂³	1	2	yes	—
219	#121×C₃₇	C₂³	1	2	yes	—
220	#121×C₃₇	C₂³	1	2	yes	—
221	C₄×Q₈×C₃₇	—	2	2	no	—
222	C₄×Q₈×C₃₇	—	2	2	no	—
223	C₄×Q₈×C₃₇	—	2	1	no	—
224	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
226	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₃₇	—	2	2	no	—
229	C₄×D₄×C₃₇	—	2	2	no	—
230	C₄×D₄×C₃₇	—	2	2	no	—
231	C₄×D₄×C₃₇	—	2	1	no	—
232	C₄×D₄×C₃₇	—	2	1	no	—
233	C₄×D₄×C₃₇	—	2	1	no	—
234	C₄×D₄×C₃₇	—	2	1	no	—
235	C₄×D₄×C₃₇	—	2	1	no	—
236	C₄×D₄×C₃₇	—	2	1	no	—
237	C₄×D₄×C₃₇	—	2	1	no	—
238	C₄×D₄×C₃₇	—	2	2	no	—
239	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₃₇	C₂³	1	2	yes	—
243	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
245	#117×C₃₇	—	2	1	no	—
246	#117×C₃₇	—	2	1	no	—
247	#117×C₃₇	—	2	1	no	—
248	#117×C₃₇	—	2	1	no	—
249	#117×C₃₇	—	2	2	no	—
250	#117×C₃₇	—	2	1	no	—
251	#117×C₃₇	—	2	1	no	—
252	#117×C₃₇	C₂³	1	1	yes	characteristic
253	#117×C₃₇	C₂³	1	2	yes	—
254	#117×C₃₇	C₂³	1	2	yes	—
255	#117×C₃₇	C₂³	1	2	yes	—
256	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
257	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
258	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
259	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
261	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
262	C₂×C₄²×C₃₇	—	2	1	no	—
263	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
264	#107×C₃₇	C₂³	1	1	yes	characteristic
265	#107×C₃₇	C₂³	1	2	yes	—
266	#107×C₃₇	C₂³	1	2	yes	—
267	#107×C₃₇	C₂³	1	2	yes	—
268	#107×C₃₇	C₂³	1	1	yes	characteristic
269	#107×C₃₇	C₂³	1	2	yes	—
270	#107×C₃₇	C₂³	1	2	yes	—
271	#107×C₃₇	C₂³	1	2	yes	—
272	#107×C₃₇	C₂³	1	2	yes	—
273	#106×C₃₇	C₂³	1	2	yes	—
274	#106×C₃₇	C₂³	1	2	yes	—
275	#106×C₃₇	C₂³	1	1	yes	characteristic
276	#106×C₃₇	C₂³	1	1	yes	characteristic
277	#106×C₃₇	C₂³	1	2	yes	—
278	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
279	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
280	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
281	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
282	#103×C₃₇	C₂³	1	1	yes	characteristic
283	#103×C₃₇	C₂³	1	2	yes	—
284	#103×C₃₇	C₂³	1	2	yes	—
285	#103×C₃₇	C₂³	1	2	yes	—
286	#103×C₃₇	C₂³	1	2	yes	—
287	#103×C₃₇	C₂³	1	2	yes	—
288	#103×C₃₇	C₂³	1	2	yes	—
289	#103×C₃₇	C₂³	1	1	yes	characteristic
290	#103×C₃₇	C₂³	1	2	yes	—
291	#103×C₃₇	C₂³	1	2	yes	—
292	#103×C₃₇	C₂³	1	1	yes	characteristic
293	#103×C₃₇	C₂³	1	1	yes	characteristic
294	#103×C₃₇	C₂³	1	2	yes	—
295	#102×C₃₇	C₂³	1	1	yes	characteristic
296	#102×C₃₇	C₂³	1	2	yes	—
297	#102×C₃₇	C₂³	1	1	yes	characteristic
298	#102×C₃₇	C₂³	1	2	yes	—
299	#102×C₃₇	C₂³	1	1	yes	characteristic
300	#102×C₃₇	C₂³	1	1	yes	characteristic
301	#102×C₃₇	C₂³	1	2	yes	—
302	C₂²⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
303	C₂²⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
304	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
305	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
307	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
309	#97×C₃₇	C₂³	1	2	yes	—
310	C₄×C₈×C₃₇	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₃₇	C₂³	1	1	yes	characteristic
312	#41×C₃₇	—	4	2	no	—
313	#41×C₃₇	—	4	2	no	—
314	#41×C₃₇	—	4	1	no	—
315	#41×C₃₇	—	4	1	no	—
316	#41×C₃₇	—	4	2	no	—
317	#41×C₃₇	—	4	2	no	—
318	#41×C₃₇	—	8	4	no	—
319	C₂×Q₈×C₃₇	—	2	2	no	—
320	C₂×Q₈×C₃₇	—	2	1	no	—
321	C₂×Q₈×C₃₇	—	2	2	no	—
322	C₂×Q₈×C₃₇	—	2	1	no	—
323	C₂×Q₈×C₃₇	—	2	1	no	—
324	C₂×Q₈×C₃₇	—	4	2	no	—
325	C₂×Q₈×C₃₇	—	4	2	no	—
326	C₂×Q₈×C₃₇	—	8	2	no	—
327	C₂×Q₈×C₃₇	C₂×D₄	1	2	yes	—
328	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₃₇	—	2	1	no	—
332	C₂×D₄×C₃₇	—	2	1	no	—
333	C₂×D₄×C₃₇	—	2	2	no	—
334	C₂×D₄×C₃₇	—	2	2	no	—
335	C₂×D₄×C₃₇	—	2	2	no	—
336	C₂×D₄×C₃₇	—	2	2	no	—
337	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
342	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
344	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₃₇	—	2	2	no	—
346	C₂²×C₄×C₃₇	—	2	2	no	—
347	C₂²×C₄×C₃₇	—	2	2	no	—
348	C₂²×C₄×C₃₇	—	2	2	no	—
349	C₂²×C₄×C₃₇	—	2	2	no	—
350	C₂²×C₄×C₃₇	—	2	1	no	—
351	C₂²×C₄×C₃₇	—	2	1	no	—
352	C₂²×C₄×C₃₇	—	2	1	no	—
353	C₂²×C₄×C₃₇	—	2	1	no	—
354	C₂²×C₄×C₃₇	—	2	2	no	—
355	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
360	Q₁₆×C₃₇	—	4	1	no	—
361	Q₁₆×C₃₇	—	4	2	no	—
362	SD₁₆×C₃₇	—	4	2	no	—
363	SD₁₆×C₃₇	—	4	1	no	—
364	SD₁₆×C₃₇	—	4	1	no	—
365	D₈×C₃₇	—	4	1	no	—
366	M₁₆×C₃₇	—	4	2	no	—
367	M₁₆×C₃₇	—	4	2	no	—
368	C₂×C₈×C₃₇	—	4	2	no	—
369	C₂×C₈×C₃₇	—	4	2	no	—
370	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
375	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
376	C₄⋊C₄×C₃₇	—	2	1	no	—
377	C₄⋊C₄×C₃₇	—	2	1	no	—
378	C₄⋊C₄×C₃₇	—	2	1	no	—
379	C₄⋊C₄×C₃₇	—	2	2	no	—
380	C₄⋊C₄×C₃₇	—	2	2	no	—
381	C₄⋊C₄×C₃₇	—	2	2	no	—
382	C₄⋊C₄×C₃₇	—	2	2	no	—
383	C₄⋊C₄×C₃₇	—	2	2	no	—
384	C₄⋊C₄×C₃₇	—	2	2	no	—
385	C₄⋊C₄×C₃₇	—	2	1	no	—
386	C₄⋊C₄×C₃₇	—	2	1	no	—
387	C₄⋊C₄×C₃₇	—	2	1	no	—
388	C₄⋊C₄×C₃₇	—	2	1	no	—
389	C₄⋊C₄×C₃₇	—	2	2	no	—
390	C₄⋊C₄×C₃₇	—	2	1	no	—
391	C₄⋊C₄×C₃₇	—	2	1	no	—
392	C₄⋊C₄×C₃₇	—	2	2	no	—
393	C₄⋊C₄×C₃₇	—	2	2	no	—
394	C₄⋊C₄×C₃₇	—	2	2	no	—
395	C₄⋊C₄×C₃₇	—	2	2	no	—
396	C₄⋊C₄×C₃₇	—	2	1	no	—
397	C₄⋊C₄×C₃₇	—	2	2	no	—
398	C₄⋊C₄×C₃₇	—	2	1	no	—
399	C₄⋊C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
400	C₄⋊C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
401	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
402	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
405	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
406	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
408	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
409	C₂²⋊C₄×C₃₇	—	2	2	no	—
410	C₂²⋊C₄×C₃₇	—	2	2	no	—
411	C₂²⋊C₄×C₃₇	—	2	1	no	—
412	C₂²⋊C₄×C₃₇	—	2	2	no	—
413	C₂²⋊C₄×C₃₇	—	2	2	no	—
414	C₂²⋊C₄×C₃₇	—	2	2	no	—
415	C₂²⋊C₄×C₃₇	—	2	2	no	—
416	C₂²⋊C₄×C₃₇	—	2	2	no	—
417	C₂²⋊C₄×C₃₇	—	2	2	no	—
418	C₂²⋊C₄×C₃₇	—	2	2	no	—
419	C₂²⋊C₄×C₃₇	—	2	1	no	—
420	C₂²⋊C₄×C₃₇	—	2	1	no	—
421	C₂²⋊C₄×C₃₇	—	2	1	no	—
422	C₂²⋊C₄×C₃₇	—	2	1	no	—
423	C₂²⋊C₄×C₃₇	—	2	1	no	—
424	C₂²⋊C₄×C₃₇	—	2	2	no	—
425	C₂²⋊C₄×C₃₇	—	2	2	no	—
426	C₂²⋊C₄×C₃₇	—	2	2	no	—
427	C₂²⋊C₄×C₃₇	—	2	1	no	—
428	C₂²⋊C₄×C₃₇	—	2	1	no	—
429	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
430	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
431	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
432	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
433	C₄²×C₃₇	—	2	1	no	—
434	C₄²×C₃₇	—	2	1	no	—
435	C₄²×C₃₇	—	2	1	no	—
436	C₄²×C₃₇	—	2	2	no	—
437	C₄²×C₃₇	—	2	2	no	—
438	C₄²×C₃₇	—	2	2	no	—
439	C₄²×C₃₇	—	2	2	no	—
440	C₄²×C₃₇	—	2	1	no	—
441	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
444	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
445	C₂³×C₃₇	—	2	1	no	—
446	C₂³×C₃₇	—	2	1	no	—
447	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
448	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
449	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
450	Q₈×C₃₇	—	2	1	no	—
451	Q₈×C₃₇	—	2	1	no	—
452	Q₈×C₃₇	—	2	2	no	—
453	Q₈×C₃₇	—	2	1	no	—
454	Q₈×C₃₇	—	2	1	no	—
455	Q₈×C₃₇	—	2	2	no	—
456	Q₈×C₃₇	—	4	2	no	—
457	Q₈×C₃₇	—	4	4	no	—
458	Q₈×C₃₇	—	8	1	no	—
459	Q₈×C₃₇	—	8	2	no	—
460	Q₈×C₃₇	—	8	1	no	—
461	Q₈×C₃₇	—	8	1	no	—
462	D₄×C₃₇	—	2	2	no	—
463	D₄×C₃₇	—	2	2	no	—
464	D₄×C₃₇	—	2	1	no	—
465	D₄×C₃₇	—	2	1	no	—
466	D₄×C₃₇	—	2	1	no	—
467	D₄×C₃₇	—	2	1	no	—
468	D₄×C₃₇	—	4	2	no	—
469	D₄×C₃₇	—	4	2	no	—
470	D₄×C₃₇	—	4	2	no	—
471	D₄×C₃₇	—	4	2	no	—
472	D₄×C₃₇	—	4	2	no	—
473	D₄×C₃₇	—	8	1	no	—
474	D₄×C₃₇	—	8	2	no	—
475	D₄×C₃₇	—	8	2	no	—
476	D₄×C₃₇	—	8	2	no	—
477	D₄×C₃₇	—	8	2	no	—
478	C₂×C₄×C₃₇	—	2	2	no	—
479	C₂×C₄×C₃₇	—	2	2	no	—
480	C₂×C₄×C₃₇	—	2	2	no	—
481	C₂×C₄×C₃₇	—	2	2	no	—
482	C₂×C₄×C₃₇	—	2	2	no	—
483	C₂×C₄×C₃₇	—	2	1	no	—
484	C₂×C₄×C₃₇	—	2	1	no	—
485	C₂×C₄×C₃₇	—	2	1	no	—
486	C₂×C₄×C₃₇	—	2	1	no	—
487	C₂×C₄×C₃₇	—	2	1	no	—
488	C₂×C₄×C₃₇	—	2	2	no	—
489	C₂×C₄×C₃₇	—	2	1	no	—
490	C₂×C₄×C₃₇	—	2	1	no	—
491	C₂×C₄×C₃₇	—	2	1	no	—
492	C₂×C₄×C₃₇	—	2	2	no	—
493	C₂×C₄×C₃₇	—	2	2	no	—
494	C₂×C₄×C₃₇	—	2	2	no	—
495	C₂×C₄×C₃₇	—	4	1	no	—
496	C₂×C₄×C₃₇	—	4	2	no	—
497	C₂×C₄×C₃₇	—	4	2	no	—
498	C₂×C₄×C₃₇	—	4	2	no	—
499	C₂×C₄×C₃₇	—	4	2	no	—
500	C₂×C₄×C₃₇	—	8	2	no	—
501	C₂×C₄×C₃₇	—	8	2	no	—
502	C₂×C₄×C₃₇	—	8	2	no	—
503	C₂×C₄×C₃₇	—	8	2	no	—
504	C₂×C₄×C₃₇	—	8	2	no	—
505	C₂×C₄×C₃₇	—	8	2	no	—
506	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
508	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
509	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
510	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
513	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
514	C₈×C₃₇	—	2	1	no	—
515	C₈×C₃₇	—	2	1	no	—
516	C₈×C₃₇	—	2	2	no	—
517	C₈×C₃₇	—	2	2	no	—
518	C₈×C₃₇	—	2	1	no	—
519	C₈×C₃₇	—	2	1	no	—
520	#61816	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
521	C₂²×C₃₇	—	2	1	no	—
522	C₂²×C₃₇	—	2	2	no	—
523	C₂²×C₃₇	—	2	2	no	—
524	C₂²×C₃₇	—	2	2	no	—
525	C₂²×C₃₇	—	2	1	no	—
526	C₂²×C₃₇	—	2	2	no	—
527	C₂²×C₃₇	—	2	1	no	—
528	C₂²×C₃₇	—	2	2	no	—
529	C₂²×C₃₇	—	2	2	no	—
530	C₂²×C₃₇	—	4	1	no	—
531	C₂²×C₃₇	—	4	1	no	—
532	C₂²×C₃₇	—	4	1	no	—
533	C₂²×C₃₇	—	4	1	no	—
534	C₂²×C₃₇	—	4	1	no	—
535	C₂²×C₃₇	—	4	1	no	—
536	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
537	C₄×C₃₇	—	2	1	no	—
538	C₄×C₃₇	—	2	1	no	—
539	C₄×C₃₇	—	2	1	no	—
540	C₄×C₃₇	—	2	2	no	—
541	C₄×C₃₇	—	2	2	no	—
542	C₄×C₃₇	—	2	1	no	—
543	C₄×C₃₇	—	4	1	no	—
544	C₄×C₃₇	—	4	1	no	—
545	C₄×C₃₇	—	4	2	no	—
546	C₄×C₃₇	—	4	2	no	—
547	C₄×C₃₇	—	4	2	no	—
548	C₄×C₃₇	—	4	1	no	—
549	C₄×C₃₇	—	4	2	no	—
550	C₄×C₃₇	—	4	1	no	—
551	C₄×C₃₇	—	4	1	no	—
552	C₄×C₃₇	—	4	1	no	—
553	C₄×C₃₇	#578	1	2	yes	—
554	C₄×C₃₇	#585	1	1	yes	characteristic
555	C₄×C₃₇	#585	1	1	yes	characteristic
556	#3547	C₂×C₃₇	1	1	yes	characteristic, complemented
557	#3511	C₂×C₃₇	1	1	yes	characteristic, complemented
558	#3357	C₂×C₃₇	1	1	yes	characteristic, complemented
559	#3357	C₂×C₃₇	1	1	yes	characteristic, complemented
560	#3349	C₂×C₃₇	1	2	yes	complemented
561	#3343	C₂×C₃₇	1	2	yes	complemented
562	#3341	C₂×C₃₇	1	1	yes	characteristic, complemented
563	#3338	C₂×C₃₇	1	1	yes	characteristic, complemented
564	#3331	C₂×C₃₇	1	1	yes	characteristic, complemented
565	#3329	C₂×C₃₇	1	1	yes	characteristic, complemented
566	#3313	C₂×C₃₇	1	2	yes	complemented
567	#3308	C₂×C₃₇	1	2	yes	complemented
568	#3303	C₂×C₃₇	1	1	yes	characteristic, complemented
569	#3299	C₂×C₃₇	1	1	yes	characteristic, complemented
570	#3238	C₂×C₃₇	1	1	yes	characteristic, complemented
571	#3230	C₂×C₃₇	1	1	yes	characteristic, complemented
572	#3203	C₂×C₃₇	1	2	yes	complemented
573	#3201	C₂×C₃₇	1	2	yes	complemented
574	#3116	C₂×C₃₇	1	1	yes	characteristic, complemented
575	#3102	C₂×C₃₇	1	1	yes	characteristic, complemented
576	#3098	C₂×C₃₇	1	2	yes	complemented
577	#3097	C₂×C₃₇	1	2	yes	complemented
578	#2981	C₂×C₃₇	1	1	yes	characteristic, complemented
579	C₂×C₃₇	—	4	1	no	—
580	C₂×C₃₇	—	4	2	no	—
581	C₂×C₃₇	—	4	2	no	—
582	C₂×C₃₇	—	8	1	no	—
583	C₂×C₃₇	—	8	1	no	—
584	C₂×C₃₇	#3485	1	1	yes	characteristic
585	C₂×C₃₇	C₂×#578	1	1	yes	characteristic
586	C₂×C₃₇	#3585	1	1	yes	characteristic
587	#562	—	2	2	no	—
588	#556	C₂²×C₃₇	1	2	yes	—
589	#555	—	2	1	no	—
590	#555	C₂²×C₃₇	1	1	yes	characteristic
591	#555	C₂²×C₃₇	1	1	yes	characteristic
592	#555	C₂²×C₃₇	1	1	yes	characteristic
593	#554	C₂²×C₃₇	1	1	yes	characteristic
594	#554	C₂²×C₃₇	1	1	yes	characteristic
595	#554	C₂²×C₃₇	1	1	yes	characteristic
596	#553	—	2	1	no	—
597	#553	—	2	1	no	—
598	#553	—	2	1	no	—
599	#552	C₂²×C₃₇	1	2	yes	—
600	D₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic
601	#548	—	2	2	no	—
602	#548	C₂²×C₃₇	1	2	yes	—
603	#547	C₂²×C₃₇	1	1	yes	characteristic
604	#547	C₂²×C₃₇	1	2	yes	—
605	#544	—	2	1	no	—
606	#542	—	2	2	no	—
607	#542	—	2	2	no	—
608	#540	—	2	1	no	—
609	#537	C₂²×C₃₇	1	2	yes	—
610	#537	C₂²×C₃₇	1	2	yes	—
611	#536	C₂²×C₃₇	1	2	yes	—
612	#533	—	2	1	no	—
613	#533	C₂²×C₃₇	1	1	yes	characteristic
614	#532	—	2	1	no	—
615	#532	C₂²×C₃₇	1	1	yes	characteristic
616	C₂×C₄⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic
617	#529	C₂²×C₃₇	1	1	yes	characteristic
618	#520	C₂²×C₃₇	1	2	yes	—
619	C₄×#41	C₂²×C₃₇	1	1	yes	characteristic
620	#501	C₂²×C₃₇	1	2	yes	—
621	#500	C₂²×C₃₇	1	1	yes	characteristic
622	#500	C₂²×C₃₇	1	1	yes	characteristic
623	#489	C₂²×C₃₇	1	2	yes	—
624	#487	C₂²×C₃₇	1	1	yes	characteristic
625	#487	C₂²×C₃₇	1	1	yes	characteristic
626	#485	C₂²×C₃₇	1	2	yes	—
627	#485	C₂²×C₃₇	1	2	yes	—
628	#485	C₂²×C₃₇	1	2	yes	—
629	#485	C₂²×C₃₇	1	1	yes	characteristic
630	#485	C₂²×C₃₇	1	2	yes	—
631	#485	C₂²×C₃₇	1	2	yes	—
632	#484	C₂²×C₃₇	1	2	yes	—
633	#484	C₂²×C₃₇	1	2	yes	—
634	#484	C₂²×C₃₇	1	2	yes	—
635	#484	C₂²×C₃₇	1	2	yes	—
636	#484	C₂²×C₃₇	1	2	yes	—
637	#483	C₂²×C₃₇	1	2	yes	—
638	#483	C₂²×C₃₇	1	2	yes	—
639	#482	C₂²×C₃₇	1	2	yes	—
640	#482	C₂²×C₃₇	1	2	yes	—
641	#482	C₂²×C₃₇	1	1	yes	characteristic
642	#480	C₂²×C₃₇	1	2	yes	—
643	#480	C₂²×C₃₇	1	2	yes	—
644	#480	C₂²×C₃₇	1	2	yes	—
645	#479	C₂²×C₃₇	1	1	yes	characteristic
646	#478	C₂²×C₃₇	1	1	yes	characteristic
647	#477	C₂²×C₃₇	1	1	yes	characteristic
648	#477	C₂²×C₃₇	1	1	yes	characteristic
649	#477	C₂²×C₃₇	1	2	yes	—
650	#477	C₂²×C₃₇	1	2	yes	—
651	#477	C₂²×C₃₇	1	1	yes	characteristic
652	#476	C₂²×C₃₇	1	1	yes	characteristic
653	#476	C₂²×C₃₇	1	1	yes	characteristic
654	#476	C₂²×C₃₇	1	1	yes	characteristic
655	#470	C₂²×C₃₇	1	2	yes	—
656	#468	C₂²×C₃₇	1	2	yes	—
657	#468	C₂²×C₃₇	1	2	yes	—
658	#468	C₂²×C₃₇	1	2	yes	—
659	#467	C₂²×C₃₇	1	2	yes	—
660	#467	C₂²×C₃₇	1	2	yes	—
661	#466	C₂²×C₃₇	1	2	yes	—
662	#465	C₂²×C₃₇	1	2	yes	—
663	#464	C₂²×C₃₇	1	1	yes	characteristic
664	#463	C₂²×C₃₇	1	1	yes	characteristic
665	#462	C₂²×C₃₇	1	1	yes	characteristic
666	#461	C₂²×C₃₇	1	1	yes	characteristic
667	#452	C₂²×C₃₇	1	2	yes	—
668	#452	C₂²×C₃₇	1	1	yes	characteristic
669	#452	C₂²×C₃₇	1	2	yes	—
670	#451	C₂²×C₃₇	1	2	yes	—
671	#449	C₂²×C₃₇	1	1	yes	characteristic
672	#449	C₂²×C₃₇	1	2	yes	—
673	#448	C₂²×C₃₇	1	2	yes	—
674	#441	C₂²×C₃₇	1	2	yes	—
675	#440	C₂²×C₃₇	1	2	yes	—
676	C₄×Q₁₆	C₂²×C₃₇	1	1	yes	characteristic
677	C₄×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic
678	C₄×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic
679	C₄×D₈	C₂²×C₃₇	1	1	yes	characteristic
680	#436	C₂²×C₃₇	1	1	yes	characteristic
681	#436	C₂²×C₃₇	1	1	yes	characteristic
682	#435	C₂²×C₃₇	1	2	yes	—
683	#435	C₂²×C₃₇	1	2	yes	—
684	C₈×D₄	C₂²×C₃₇	1	1	yes	characteristic
685	C₈×D₄	C₂²×C₃₇	1	1	yes	characteristic
686	#432	C₂²×C₃₇	1	1	yes	characteristic
687	#431	C₂²×C₃₇	1	1	yes	characteristic
688	#428	C₂²×C₃₇	1	2	yes	—
689	#428	C₂²×C₃₇	1	2	yes	—
690	#427	C₂²×C₃₇	1	2	yes	—
691	C₂×#107	C₂²×C₃₇	1	2	yes	—
692	#419	C₂²×C₃₇	1	2	yes	—
693	#417	C₂²×C₃₇	1	2	yes	—
694	#416	C₂²×C₃₇	1	2	yes	—
695	C₂×#103	C₂²×C₃₇	1	2	yes	—
696	#408	C₂²×C₃₇	1	2	yes	—
697	#408	C₂²×C₃₇	1	2	yes	—
698	C₃₇	#61816	1	1	yes	characteristic, direct product factor, Sylow
699	C₂×#41	—	2	2	no	—
700	C₂×#41	C₂³×C₃₇	1	1	yes	characteristic
701	C₂×#41	C₂³×C₃₇	1	2	yes	—
702	C₂×#41	C₂³×C₃₇	1	2	yes	—
703	C₂²×Q₈	—	2	1	no	—
704	C₂²×Q₈	C₂³×C₃₇	1	2	yes	—
705	C₂×Q₁₆	C₂³×C₃₇	1	1	yes	characteristic
706	C₂×Q₁₆	C₂³×C₃₇	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₃₇	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₃₇	1	1	yes	characteristic
709	C₂×SD₁₆	C₂³×C₃₇	1	2	yes	—
710	C₂×D₈	C₂³×C₃₇	1	1	yes	characteristic
711	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
712	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
713	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
714	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
715	C₄⋊Q₈	—	2	2	no	—
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	D₄×C₃₇	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
722	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
725	#127	D₄×C₃₇	1	1	yes	characteristic
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	—	2	1	no	—
732	#125	—	2	2	no	—
733	#125	—	2	1	no	—
734	#125	—	2	1	no	—
735	#125	C₂³×C₃₇	1	1	yes	characteristic
736	#124	—	2	2	no	—
737	#124	—	2	2	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	D₄×C₃₇	1	2	yes	—
743	#124	C₂³×C₃₇	1	1	yes	characteristic
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	#123	—	2	2	no	—
747	#123	—	2	1	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
761	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
762	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
763	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
765	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
766	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
767	#121	—	2	2	no	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	2	no	—
775	#121	—	2	1	no	—
776	#121	—	2	2	no	—
777	#121	—	2	1	no	—
778	#121	D₄×C₃₇	1	2	yes	—
779	#121	D₄×C₃₇	1	1	yes	characteristic
780	#121	D₄×C₃₇	1	1	yes	characteristic
781	#121	C₂³×C₃₇	1	1	yes	characteristic
782	#121	C₂³×C₃₇	1	2	yes	—
783	#121	C₂³×C₃₇	1	2	yes	—
784	#121	C₂³×C₃₇	1	2	yes	—
785	C₄×Q₈	—	2	2	no	—
786	C₄×Q₈	—	2	2	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
804	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
805	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₃₇	1	2	yes	—
807	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
808	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
809	#117	—	2	1	no	—
810	#117	—	2	1	no	—
811	#117	—	2	1	no	—
812	#117	—	2	1	no	—
813	#117	—	2	2	no	—
814	#117	—	2	1	no	—
815	#117	—	2	1	no	—
816	#117	C₂³×C₃₇	1	1	yes	characteristic
817	#117	C₂³×C₃₇	1	2	yes	—
818	#117	C₂³×C₃₇	1	2	yes	—
819	#117	C₂³×C₃₇	1	2	yes	—
820	C₂×C₄⋊C₄	—	2	1	no	—
821	C₂×C₄⋊C₄	—	2	1	no	—
822	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
823	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
826	C₂×C₄²	—	2	1	no	—
827	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
828	#107	C₂³×C₃₇	1	1	yes	characteristic
829	#107	C₂³×C₃₇	1	2	yes	—
830	#107	C₂³×C₃₇	1	2	yes	—
831	#107	C₂³×C₃₇	1	2	yes	—
832	#107	C₂³×C₃₇	1	1	yes	characteristic
833	#107	C₂³×C₃₇	1	2	yes	—
834	#107	C₂³×C₃₇	1	2	yes	—
835	#107	C₂³×C₃₇	1	2	yes	—
836	#107	C₂³×C₃₇	1	2	yes	—
837	#106	C₂³×C₃₇	1	2	yes	—
838	#106	C₂³×C₃₇	1	2	yes	—
839	#106	C₂³×C₃₇	1	1	yes	characteristic
840	#106	C₂³×C₃₇	1	1	yes	characteristic
841	#106	C₂³×C₃₇	1	2	yes	—
842	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
843	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
846	#103	C₂³×C₃₇	1	1	yes	characteristic
847	#103	C₂³×C₃₇	1	2	yes	—
848	#103	C₂³×C₃₇	1	2	yes	—
849	#103	C₂³×C₃₇	1	2	yes	—
850	#103	C₂³×C₃₇	1	2	yes	—
851	#103	C₂³×C₃₇	1	2	yes	—
852	#103	C₂³×C₃₇	1	2	yes	—
853	#103	C₂³×C₃₇	1	1	yes	characteristic
854	#103	C₂³×C₃₇	1	2	yes	—
855	#103	C₂³×C₃₇	1	2	yes	—
856	#103	C₂³×C₃₇	1	1	yes	characteristic
857	#103	C₂³×C₃₇	1	1	yes	characteristic
858	#103	C₂³×C₃₇	1	2	yes	—
859	#102	C₂³×C₃₇	1	1	yes	characteristic
860	#102	C₂³×C₃₇	1	2	yes	—
861	#102	C₂³×C₃₇	1	1	yes	characteristic
862	#102	C₂³×C₃₇	1	2	yes	—
863	#102	C₂³×C₃₇	1	1	yes	characteristic
864	#102	C₂³×C₃₇	1	1	yes	characteristic
865	#102	C₂³×C₃₇	1	2	yes	—
866	C₂²⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
867	C₂²⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
868	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
873	#97	C₂³×C₃₇	1	2	yes	—
874	C₄×C₈	C₂³×C₃₇	1	1	yes	characteristic
875	C₄×C₈	C₂³×C₃₇	1	1	yes	characteristic
876	#41	—	4	2	no	—
877	#41	—	4	2	no	—
878	#41	—	4	1	no	—
879	#41	—	4	1	no	—
880	#41	—	4	2	no	—
881	#41	—	4	2	no	—
882	#41	—	8	4	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	—	4	2	no	—
890	C₂×Q₈	—	8	2	no	—
891	C₂×Q₈	C₂×D₄×C₃₇	1	2	yes	—
892	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
894	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
902	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
903	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
904	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
905	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
906	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
907	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
908	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
920	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
921	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
923	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
924	Q₁₆	—	4	1	no	—
925	Q₁₆	—	4	2	no	—
926	SD₁₆	—	4	2	no	—
927	SD₁₆	—	4	1	no	—
928	SD₁₆	—	4	1	no	—
929	D₈	—	4	1	no	—
930	M₁₆	—	4	2	no	—
931	M₁₆	—	4	2	no	—
932	C₂×C₈	—	4	2	no	—
933	C₂×C₈	—	4	2	no	—
934	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
939	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	1	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
964	C₄⋊C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
965	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
968	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
969	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
994	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
995	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
1006	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
1007	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1008	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1009	C₂³	—	2	1	no	—
1010	C₂³	—	2	1	no	—
1011	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
1012	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
1013	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
1014	Q₈	—	2	1	no	—
1015	Q₈	—	2	1	no	—
1016	Q₈	—	2	2	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	2	1	no	—
1019	Q₈	—	2	2	no	—
1020	Q₈	—	4	2	no	—
1021	Q₈	—	4	4	no	—
1022	Q₈	—	8	2	no	—
1023	Q₈	—	8	1	no	—
1024	Q₈	—	8	1	no	—
1025	Q₈	—	8	1	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	2	2	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	2	1	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	2	1	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	4	2	no	—
1034	D₄	—	4	2	no	—
1035	D₄	—	4	2	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	8	2	no	—
1038	D₄	—	8	2	no	—
1039	D₄	—	8	2	no	—
1040	D₄	—	8	1	no	—
1041	D₄	—	8	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	4	1	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	2	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	2	no	—
1070	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
1072	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1073	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
1075	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1076	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1077	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1078	C₈	—	2	1	no	—
1079	C₈	—	2	1	no	—
1080	C₈	—	2	2	no	—
1081	C₈	—	2	2	no	—
1082	C₈	—	2	1	no	—
1083	C₈	—	2	1	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	1	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	1	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	1	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
1100	C₄	—	2	1	no	—
1101	C₄	—	2	2	no	—
1102	C₄	—	2	2	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	2	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	2	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	2	no	—
1116	C₄	C₃₇×#578	1	2	yes	—
1117	C₄	C₃₇×#585	1	1	yes	characteristic
1118	C₄	C₃₇×#585	1	1	yes	characteristic
1119	C₂	—	4	2	no	—
1120	C₂	—	4	1	no	—
1121	C₂	—	4	2	no	—
1122	C₂	—	8	1	no	—
1123	C₂	—	8	1	no	—
1124	C₂	C₃₇×#3485	1	1	yes	characteristic
1125	C₂	C₂×C₃₇×#578	1	1	yes	characteristic
1126	C₂	C₃₇×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃₇	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃₇
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×#3547	C₂	semidirect
2. C₃₇×#3511	C₂	semidirect
3. C₃₇×#3357	C₂	semidirect
4. C₃₇×#3357	C₂	semidirect
5. C₃₇×#3349	C₂	semidirect
6. C₃₇×#3343	C₂	semidirect
7. C₃₇×#3341	C₂	semidirect
8. C₃₇×#3338	C₂	semidirect
9. C₃₇×#3331	C₂	semidirect
10. C₃₇×#3329	C₂	semidirect
11. C₃₇×#3313	C₂	semidirect
12. C₃₇×#3308	C₂	semidirect
13. C₃₇×#3303	C₂	semidirect
14. C₃₇×#3299	C₂	semidirect
15. C₃₇×#3238	C₂	semidirect
16. C₃₇×#3230	C₂	semidirect
17. C₃₇×#3203	C₂	semidirect
18. C₃₇×#3201	C₂	semidirect
19. C₃₇×#3116	C₂	semidirect
20. C₃₇×#3102	C₂	semidirect
21. C₃₇×#3098	C₂	semidirect
22. C₃₇×#3097	C₂	semidirect
23. C₃₇×#2981	C₂	semidirect
520. #61816	C₃₇	direct (N × H)
556. #3547	C₂×C₃₇	semidirect
557. #3511	C₂×C₃₇	semidirect
558. #3357	C₂×C₃₇	semidirect
559. #3357	C₂×C₃₇	semidirect
560. #3349	C₂×C₃₇	semidirect
561. #3343	C₂×C₃₇	semidirect
562. #3341	C₂×C₃₇	semidirect
563. #3338	C₂×C₃₇	semidirect
564. #3331	C₂×C₃₇	semidirect
565. #3329	C₂×C₃₇	semidirect
566. #3313	C₂×C₃₇	semidirect
567. #3308	C₂×C₃₇	semidirect
568. #3303	C₂×C₃₇	semidirect
569. #3299	C₂×C₃₇	semidirect
570. #3238	C₂×C₃₇	semidirect
571. #3230	C₂×C₃₇	semidirect
572. #3203	C₂×C₃₇	semidirect
573. #3201	C₂×C₃₇	semidirect
574. #3116	C₂×C₃₇	semidirect
575. #3102	C₂×C₃₇	semidirect
576. #3098	C₂×C₃₇	semidirect
577. #3097	C₂×C₃₇	semidirect
578. #2981	C₂×C₃₇	semidirect
698. C₃₇	#61816	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×#3547	2
C₃₇×#3511	2
C₃₇×#3357	2
C₃₇×#3349	2
C₃₇×#3343	2
C₃₇×#3341	2
C₃₇×#3338	2
C₃₇×#3331	2
C₃₇×#3329	2
C₃₇×#3313	2
C₃₇×#3308	2
C₃₇×#3303	2
C₃₇×#3299	2
C₃₇×#3238	2
C₃₇×#3230	2
C₃₇×#3203	2
C₃₇×#3201	2
C₃₇×#3116	2
C₃₇×#3102	2
C₃₇×#3098	2
C₃₇×#3097	2
C₃₇×#2981	2
#61816	37

Subgroups — C37×#61816 #22683069

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#61816 #22683069