Subgroups — C₃₇×#62618 #22683871

Order 9472.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₇×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃₇×#3546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃₇×#3368	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₇×#3367	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃₇×#3364	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃₇×#3358	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃₇×#3333	C₂	1	2	yes	maximal, complemented
8	C₃₇×#3330	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃₇×#3324	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃₇×#3322	C₂	1	2	yes	maximal, complemented
11	C₃₇×#3314	C₂	1	2	yes	maximal, complemented
12	C₃₇×#3309	C₂	1	2	yes	maximal, complemented
13	C₃₇×#3302	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃₇×#3294	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃₇×#3243	C₂	1	2	yes	maximal, complemented
16	C₃₇×#3226	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃₇×#3224	C₂	1	2	yes	maximal, complemented
18	C₃₇×#3212	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃₇×#3175	C₂	1	2	yes	maximal, complemented
20	C₃₇×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃₇×#3141	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃₇×#3136	C₂	1	2	yes	maximal, complemented
23	C₃₇×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃₇×#563	—	2	2	no	—
25	C₃₇×#560	—	2	2	no	—
26	C₃₇×#557	C₂²	1	1	yes	characteristic, complemented
27	C₃₇×#556	C₂²	1	1	yes	characteristic
28	C₃₇×#556	C₂²	1	1	yes	characteristic
29	C₃₇×#554	C₂²	1	2	yes	complemented
30	C₃₇×#553	—	2	1	no	—
31	C₃₇×#553	C₂²	1	2	yes	complemented
32	C₃₇×#550	C₂²	1	2	yes	—
33	C₃₇×#550	C₂²	1	1	yes	characteristic
34	D₄×Q₈×C₃₇	—	2	1	no	—
35	D₄×Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
36	C₃₇×#548	—	2	1	no	—
37	C₃₇×#547	C₂²	1	1	yes	characteristic
38	C₃₇×#547	C₂²	1	1	yes	characteristic
39	C₃₇×#546	—	2	1	no	—
40	C₃₇×#546	C₂²	1	2	yes	—
41	D₄²×C₃₇	C₂²	1	1	yes	characteristic
42	C₃₇×#544	C₂²	1	2	yes	complemented
43	C₃₇×#542	C₂²	1	2	yes	—
44	C₃₇×#542	C₂²	1	2	yes	complemented
45	C₃₇×#541	—	2	1	no	—
46	C₃₇×#539	—	2	2	no	—
47	C₃₇×#538	—	2	2	no	—
48	C₃₇×#537	—	2	1	no	—
49	C₃₇×#536	—	2	1	no	—
50	C₃₇×#535	—	2	1	no	—
51	C₃₇×#535	C₂²	1	2	yes	—
52	C₃₇×#532	C₂²	1	1	yes	characteristic
53	C₃₇×#532	C₂²	1	1	yes	characteristic
54	C₂×C₄⋊Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
55	C₃₇×#529	C₂²	1	1	yes	characteristic
56	C₃₇×#529	C₂²	1	1	yes	characteristic, complemented
57	C₃₇×#501	C₂²	1	1	yes	characteristic, complemented
58	C₃₇×#500	C₂²	1	2	yes	complemented
59	C₃₇×#496	C₂²	1	1	yes	characteristic
60	C₃₇×#495	C₂²	1	2	yes	complemented
61	C₃₇×#490	C₂²	1	1	yes	characteristic
62	C₃₇×#490	C₂²	1	2	yes	complemented
63	C₃₇×#489	C₂²	1	2	yes	—
64	C₃₇×#489	C₂²	1	2	yes	complemented
65	C₃₇×#489	C₂²	1	2	yes	complemented
66	C₃₇×#489	C₂²	1	1	yes	characteristic, complemented
67	C₃₇×#488	C₂²	1	2	yes	—
68	C₃₇×#488	C₂²	1	2	yes	complemented
69	C₃₇×#487	C₂²	1	1	yes	characteristic, complemented
70	C₃₇×#487	C₂²	1	1	yes	characteristic, complemented
71	C₃₇×#486	C₂²	1	2	yes	—
72	C₃₇×#486	C₂²	1	1	yes	characteristic
73	C₃₇×#486	C₂²	1	1	yes	characteristic
74	C₃₇×#486	C₂²	1	2	yes	complemented
75	C₃₇×#485	C₂²	1	2	yes	complemented
76	C₃₇×#484	C₂²	1	2	yes	complemented
77	C₃₇×#482	C₂²	1	2	yes	—
78	C₃₇×#480	C₂²	1	2	yes	—
79	C₃₇×#480	C₂²	1	2	yes	—
80	C₃₇×#480	C₂²	1	2	yes	complemented
81	C₃₇×#479	C₂²	1	2	yes	complemented
82	C₃₇×#478	C₂²	1	2	yes	complemented
83	C₃₇×#477	C₂²	1	2	yes	complemented
84	C₃₇×#474	C₂²	1	1	yes	characteristic
85	C₃₇×#474	C₂²	1	1	yes	characteristic
86	C₃₇×#474	C₂²	1	1	yes	characteristic, complemented
87	C₃₇×#474	C₂²	1	1	yes	characteristic, complemented
88	C₃₇×#474	C₂²	1	2	yes	complemented
89	C₃₇×#469	C₂²	1	1	yes	characteristic
90	C₃₇×#469	C₂²	1	1	yes	characteristic, complemented
91	C₃₇×#468	C₂²	1	1	yes	characteristic
92	C₃₇×#468	C₂²	1	2	yes	—
93	C₃₇×#468	C₂²	1	1	yes	characteristic, complemented
94	C₃₇×#468	C₂²	1	2	yes	complemented
95	C₃₇×#467	C₂²	1	2	yes	complemented
96	C₃₇×#466	C₂²	1	2	yes	—
97	C₃₇×#464	C₂²	1	2	yes	—
98	C₃₇×#463	C₂²	1	2	yes	—
99	C₃₇×#462	C₂²	1	1	yes	characteristic, complemented
100	C₃₇×#461	C₂²	1	1	yes	characteristic, complemented
101	C₃₇×#460	C₂²	1	1	yes	characteristic
102	C₃₇×#460	C₂²	1	2	yes	complemented
103	C₃₇×#459	C₂²	1	1	yes	characteristic
104	C₃₇×#459	C₂²	1	2	yes	complemented
105	C₃₇×#452	C₂²	1	2	yes	complemented
106	C₃₇×#452	C₂²	1	2	yes	complemented
107	C₃₇×#450	C₂²	1	2	yes	—
108	C₃₇×#449	C₂²	1	2	yes	complemented
109	C₃₇×#449	C₂²	1	2	yes	complemented
110	C₃₇×#447	C₂²	1	2	yes	—
111	C₃₇×#446	C₂²	1	1	yes	characteristic, complemented
112	C₈×Q₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
113	C₃₇×#440	C₂²	1	2	yes	complemented
114	C₃₇×#440	C₂²	1	2	yes	complemented
115	C₄×Q₁₆×C₃₇	C₂²	1	2	yes	complemented
116	C₄×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic
117	C₄×SD₁₆×C₃₇	C₂²	1	1	yes	characteristic, complemented
118	C₄×D₈×C₃₇	C₂²	1	1	yes	characteristic
119	C₄×D₈×C₃₇	C₂²	1	1	yes	characteristic, complemented
120	C₄×D₈×C₃₇	C₂²	1	2	yes	complemented
121	C₃₇×#436	C₂²	1	1	yes	characteristic
122	C₃₇×#436	C₂²	1	2	yes	complemented
123	C₃₇×#435	C₂²	1	2	yes	complemented
124	C₈×D₄×C₃₇	C₂²	1	1	yes	characteristic
125	C₃₇×#433	C₂²	1	2	yes	complemented
126	C₃₇×#431	C₂²	1	1	yes	characteristic, complemented
127	C₃₇×#418	C₂²	1	2	yes	—
128	C₃₇×#417	C₂²	1	2	yes	complemented
129	C₃₇×#417	C₂²	1	2	yes	complemented
130	C₃₇×#417	C₂²	1	2	yes	complemented
131	C₃₇×#416	C₂²	1	2	yes	complemented
132	C₂×#102×C₃₇	C₂²	1	2	yes	—
133	C₃₇×#405	C₂²	1	2	yes	complemented
134	C₄×M₁₆×C₃₇	C₂²	1	1	yes	characteristic, complemented
135	C₂×#41×C₃₇	—	2	1	no	—
136	C₂×#41×C₃₇	—	2	1	no	—
137	C₂×#41×C₃₇	—	2	1	no	—
138	C₂×#41×C₃₇	C₂³	1	2	yes	—
139	C₂×#41×C₃₇	C₂³	1	2	yes	—
140	C₂²×Q₈×C₃₇	—	2	1	no	—
141	C₂²×Q₈×C₃₇	—	2	1	no	—
142	C₂²×D₄×C₃₇	—	2	1	no	—
143	C₂²×D₄×C₃₇	C₂³	1	2	yes	—
144	C₂×Q₁₆×C₃₇	C₂³	1	2	yes	—
145	C₂×SD₁₆×C₃₇	C₂³	1	1	yes	characteristic
146	C₂×SD₁₆×C₃₇	C₂³	1	1	yes	characteristic
147	C₂×SD₁₆×C₃₇	C₂³	1	2	yes	—
148	C₂×SD₁₆×C₃₇	C₂³	1	2	yes	—
149	C₂×D₈×C₃₇	C₂³	1	1	yes	characteristic
150	C₂×D₈×C₃₇	C₂³	1	2	yes	—
151	C₂×D₈×C₃₇	C₂³	1	1	yes	characteristic
152	C₂×M₁₆×C₃₇	C₂³	1	1	yes	characteristic
153	C₂×M₁₆×C₃₇	C₂³	1	1	yes	characteristic
154	C₂×M₁₆×C₃₇	C₂³	1	2	yes	—
155	C₂²×C₈×C₃₇	C₂³	1	2	yes	—
156	C₄⋊Q₈×C₃₇	—	2	1	no	—
157	C₄⋊Q₈×C₃₇	—	2	2	no	—
158	C₄⋊Q₈×C₃₇	—	2	1	no	—
159	C₄⋊Q₈×C₃₇	—	2	1	no	—
160	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
161	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
162	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
163	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
164	C₄⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
165	C₄⋊Q₈×C₃₇	C₂³	1	2	yes	—
166	#127×C₃₇	—	2	2	no	—
167	#127×C₃₇	C₂³	1	1	yes	characteristic
168	#127×C₃₇	C₂³	1	1	yes	characteristic
169	#127×C₃₇	C₂³	1	2	yes	—
170	#126×C₃₇	—	2	2	no	—
171	#126×C₃₇	—	2	2	no	—
172	#126×C₃₇	—	2	2	no	—
173	#126×C₃₇	—	2	2	no	—
174	#126×C₃₇	—	2	2	no	—
175	#126×C₃₇	—	2	1	no	—
176	#126×C₃₇	D₄	1	2	yes	—
177	#125×C₃₇	—	2	2	no	—
178	#125×C₃₇	—	2	2	no	—
179	#125×C₃₇	—	2	2	no	—
180	#125×C₃₇	D₄	1	1	yes	characteristic
181	#125×C₃₇	C₂³	1	1	yes	characteristic
182	#125×C₃₇	C₂³	1	2	yes	—
183	#124×C₃₇	—	2	1	no	—
184	#124×C₃₇	—	2	2	no	—
185	#124×C₃₇	—	2	2	no	—
186	#124×C₃₇	—	2	1	no	—
187	#124×C₃₇	D₄	1	1	yes	characteristic
188	#124×C₃₇	C₂³	1	1	yes	characteristic
189	#124×C₃₇	C₂³	1	2	yes	—
190	#124×C₃₇	C₂³	1	2	yes	—
191	#123×C₃₇	—	2	1	no	—
192	#123×C₃₇	—	2	2	no	—
193	#123×C₃₇	—	2	2	no	—
194	#123×C₃₇	—	2	2	no	—
195	#123×C₃₇	—	2	2	no	—
196	#123×C₃₇	—	2	2	no	—
197	#123×C₃₇	—	2	2	no	—
198	#123×C₃₇	D₄	1	2	yes	—
199	C₂²⋊Q₈×C₃₇	—	2	1	no	—
200	C₂²⋊Q₈×C₃₇	—	2	2	no	—
201	C₂²⋊Q₈×C₃₇	—	2	2	no	—
202	C₂²⋊Q₈×C₃₇	—	2	1	no	—
203	C₂²⋊Q₈×C₃₇	—	2	1	no	—
204	C₂²⋊Q₈×C₃₇	—	2	2	no	—
205	C₂²⋊Q₈×C₃₇	—	2	2	no	—
206	C₂²⋊Q₈×C₃₇	—	2	2	no	—
207	C₂²⋊Q₈×C₃₇	—	2	2	no	—
208	C₂²⋊Q₈×C₃₇	—	2	2	no	—
209	C₂²⋊Q₈×C₃₇	D₄	1	1	yes	characteristic
210	C₂²⋊Q₈×C₃₇	C₂³	1	1	yes	characteristic
211	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
212	C₂²⋊Q₈×C₃₇	C₂³	1	2	yes	—
213	#121×C₃₇	—	2	1	no	—
214	#121×C₃₇	—	2	2	no	—
215	#121×C₃₇	—	2	1	no	—
216	#121×C₃₇	—	2	1	no	—
217	#121×C₃₇	—	2	1	no	—
218	#121×C₃₇	—	2	1	no	—
219	#121×C₃₇	—	2	2	no	—
220	#121×C₃₇	—	2	2	no	—
221	#121×C₃₇	—	2	1	no	—
222	#121×C₃₇	—	2	2	no	—
223	#121×C₃₇	—	2	2	no	—
224	#121×C₃₇	—	2	2	no	—
225	#121×C₃₇	—	2	2	no	—
226	#121×C₃₇	D₄	1	1	yes	characteristic
227	#121×C₃₇	C₂³	1	1	yes	characteristic
228	#121×C₃₇	C₂³	1	1	yes	characteristic
229	#121×C₃₇	C₂³	1	1	yes	characteristic
230	#121×C₃₇	C₂³	1	2	yes	—
231	#121×C₃₇	C₂³	1	2	yes	—
232	#120×C₃₇	—	2	2	no	—
233	#120×C₃₇	—	2	2	no	—
234	#120×C₃₇	—	2	2	no	—
235	#120×C₃₇	—	2	2	no	—
236	C₄×Q₈×C₃₇	—	2	1	no	—
237	C₄×Q₈×C₃₇	—	2	1	no	—
238	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
240	C₄×Q₈×C₃₇	C₂³	1	2	yes	—
241	C₄×Q₈×C₃₇	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₃₇	—	2	2	no	—
243	C₄×D₄×C₃₇	—	2	1	no	—
244	C₄×D₄×C₃₇	—	2	2	no	—
245	C₄×D₄×C₃₇	—	2	2	no	—
246	C₄×D₄×C₃₇	—	2	1	no	—
247	C₄×D₄×C₃₇	—	2	1	no	—
248	C₄×D₄×C₃₇	—	2	1	no	—
249	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₃₇	C₂³	1	2	yes	—
253	C₄×D₄×C₃₇	C₂³	1	2	yes	—
254	C₄×D₄×C₃₇	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₃₇	C₂³	1	2	yes	—
256	#117×C₃₇	—	2	1	no	—
257	#117×C₃₇	—	2	1	no	—
258	#117×C₃₇	C₂³	1	2	yes	—
259	#117×C₃₇	C₂³	1	2	yes	—
260	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
261	C₂×C₄⋊C₄×C₃₇	—	2	1	no	—
262	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
263	C₂×C₄⋊C₄×C₃₇	C₂³	1	2	yes	—
264	C₂×C₂²⋊C₄×C₃₇	—	2	2	no	—
265	C₂×C₄²×C₃₇	C₂³	1	1	yes	characteristic
266	#107×C₃₇	C₂³	1	1	yes	characteristic
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	#106×C₃₇	C₂³	1	1	yes	characteristic
273	#106×C₃₇	C₂³	1	1	yes	characteristic
274	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
275	C₄⋊C₈×C₃₇	C₂³	1	1	yes	characteristic
276	C₄⋊C₈×C₃₇	C₂³	1	2	yes	—
277	C₄⋊C₈×C₃₇	C₂³	1	2	yes	—
278	#103×C₃₇	C₂³	1	2	yes	—
279	#103×C₃₇	C₂³	1	2	yes	—
280	#103×C₃₇	C₂³	1	2	yes	—
281	#103×C₃₇	C₂³	1	2	yes	—
282	#103×C₃₇	C₂³	1	2	yes	—
283	#103×C₃₇	C₂³	1	2	yes	—
284	#103×C₃₇	C₂³	1	1	yes	characteristic
285	#103×C₃₇	C₂³	1	1	yes	characteristic
286	#102×C₃₇	C₂³	1	1	yes	characteristic
287	#102×C₃₇	C₂³	1	2	yes	—
288	#102×C₃₇	C₂³	1	2	yes	—
289	#102×C₃₇	C₂³	1	2	yes	—
290	#102×C₃₇	C₂³	1	1	yes	characteristic
291	#102×C₃₇	C₂³	1	2	yes	—
292	#102×C₃₇	C₂³	1	1	yes	characteristic
293	#102×C₃₇	C₂³	1	2	yes	—
294	#102×C₃₇	C₂³	1	2	yes	—
295	#102×C₃₇	C₂³	1	2	yes	—
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	2	yes	—
300	#102×C₃₇	C₂³	1	1	yes	characteristic
301	#102×C₃₇	C₂³	1	1	yes	characteristic
302	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
303	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
304	C₂²⋊C₈×C₃₇	C₂³	1	2	yes	—
305	#97×C₃₇	C₂³	1	1	yes	characteristic
306	#97×C₃₇	C₂³	1	1	yes	characteristic
307	#97×C₃₇	C₂³	1	2	yes	—
308	C₄×C₈×C₃₇	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₃₇	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₃₇	C₂³	1	2	yes	—
311	C₄×C₈×C₃₇	C₂³	1	2	yes	—
312	C₂⁴×C₃₇	—	2	2	no	—
313	#41×C₃₇	—	4	2	no	—
314	#41×C₃₇	—	4	2	no	—
315	#41×C₃₇	—	4	2	no	—
316	#41×C₃₇	—	4	2	no	—
317	#41×C₃₇	—	8	2	no	—
318	#41×C₃₇	—	8	2	no	—
319	#41×C₃₇	—	8	2	no	—
320	C₂×Q₈×C₃₇	—	2	1	no	—
321	C₂×Q₈×C₃₇	—	2	1	no	—
322	C₂×Q₈×C₃₇	—	2	2	no	—
323	C₂×Q₈×C₃₇	—	2	1	no	—
324	C₂×Q₈×C₃₇	—	2	2	no	—
325	C₂×Q₈×C₃₇	—	8	2	no	—
326	C₂×Q₈×C₃₇	—	8	2	no	—
327	C₂×Q₈×C₃₇	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₃₇	C₂⁴	1	2	yes	—
329	C₂×Q₈×C₃₇	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₃₇	—	2	1	no	—
331	C₂×D₄×C₃₇	—	2	1	no	—
332	C₂×D₄×C₃₇	—	2	2	no	—
333	C₂×D₄×C₃₇	—	2	2	no	—
334	C₂×D₄×C₃₇	—	2	2	no	—
335	C₂×D₄×C₃₇	—	2	1	no	—
336	C₂×D₄×C₃₇	—	2	2	no	—
337	C₂×D₄×C₃₇	—	2	1	no	—
338	C₂×D₄×C₃₇	—	2	1	no	—
339	C₂×D₄×C₃₇	—	2	1	no	—
340	C₂×D₄×C₃₇	—	2	2	no	—
341	C₂×D₄×C₃₇	—	2	1	no	—
342	C₂×D₄×C₃₇	—	2	2	no	—
343	C₂×D₄×C₃₇	—	2	2	no	—
344	C₂×D₄×C₃₇	—	4	2	no	—
345	C₂×D₄×C₃₇	—	4	2	no	—
346	C₂×D₄×C₃₇	—	8	2	no	—
347	C₂×D₄×C₃₇	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₃₇	C₂×D₄	1	2	yes	—
349	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
350	C₂×D₄×C₃₇	C₂⁴	1	2	yes	—
351	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
352	C₂×D₄×C₃₇	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₃₇	—	2	2	no	—
354	C₂²×C₄×C₃₇	—	2	2	no	—
355	C₂²×C₄×C₃₇	—	2	1	no	—
356	C₂²×C₄×C₃₇	—	2	1	no	—
357	C₂²×C₄×C₃₇	—	2	1	no	—
358	C₂²×C₄×C₃₇	—	2	2	no	—
359	C₂²×C₄×C₃₇	—	2	2	no	—
360	C₂²×C₄×C₃₇	—	2	2	no	—
361	C₂²×C₄×C₃₇	—	2	2	no	—
362	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₃₇	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₃₇	C₂⁴	1	2	yes	—
366	Q₁₆×C₃₇	—	4	2	no	—
367	SD₁₆×C₃₇	—	4	1	no	—
368	SD₁₆×C₃₇	—	4	1	no	—
369	SD₁₆×C₃₇	—	4	2	no	—
370	SD₁₆×C₃₇	—	4	2	no	—
371	D₈×C₃₇	—	4	2	no	—
372	D₈×C₃₇	—	4	1	no	—
373	D₈×C₃₇	—	4	1	no	—
374	M₁₆×C₃₇	—	4	1	no	—
375	M₁₆×C₃₇	—	4	1	no	—
376	M₁₆×C₃₇	—	4	2	no	—
377	C₂×C₈×C₃₇	—	4	2	no	—
378	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
380	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₃₇	C₂⁴	1	2	yes	—
382	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₃₇	C₂⁴	1	1	yes	characteristic
384	C₄⋊C₄×C₃₇	—	2	1	no	—
385	C₄⋊C₄×C₃₇	—	2	2	no	—
386	C₄⋊C₄×C₃₇	—	2	1	no	—
387	C₄⋊C₄×C₃₇	—	2	2	no	—
388	C₄⋊C₄×C₃₇	—	2	1	no	—
389	C₄⋊C₄×C₃₇	—	2	2	no	—
390	C₄⋊C₄×C₃₇	—	2	2	no	—
391	C₄⋊C₄×C₃₇	—	2	1	no	—
392	C₄⋊C₄×C₃₇	—	2	1	no	—
393	C₄⋊C₄×C₃₇	—	2	1	no	—
394	C₄⋊C₄×C₃₇	—	2	1	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	2	no	—
399	C₄⋊C₄×C₃₇	—	2	2	no	—
400	C₄⋊C₄×C₃₇	—	2	2	no	—
401	C₄⋊C₄×C₃₇	—	2	2	no	—
402	C₄⋊C₄×C₃₇	—	2	1	no	—
403	C₄⋊C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
404	C₄⋊C₄×C₃₇	C₂×D₄	1	1	yes	characteristic
405	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
406	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
407	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
408	C₄⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
409	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
410	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
412	C₄⋊C₄×C₃₇	C₂⁴	1	2	yes	—
413	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
414	C₄⋊C₄×C₃₇	C₂⁴	1	1	yes	characteristic
415	C₂²⋊C₄×C₃₇	—	2	2	no	—
416	C₂²⋊C₄×C₃₇	—	2	2	no	—
417	C₂²⋊C₄×C₃₇	—	2	1	no	—
418	C₂²⋊C₄×C₃₇	—	2	2	no	—
419	C₂²⋊C₄×C₃₇	—	2	1	no	—
420	C₂²⋊C₄×C₃₇	—	2	2	no	—
421	C₂²⋊C₄×C₃₇	—	2	2	no	—
422	C₂²⋊C₄×C₃₇	—	2	1	no	—
423	C₂²⋊C₄×C₃₇	—	2	1	no	—
424	C₂²⋊C₄×C₃₇	—	2	1	no	—
425	C₂²⋊C₄×C₃₇	—	2	2	no	—
426	C₂²⋊C₄×C₃₇	—	2	2	no	—
427	C₂²⋊C₄×C₃₇	—	2	2	no	—
428	C₂²⋊C₄×C₃₇	—	2	2	no	—
429	C₂²⋊C₄×C₃₇	—	2	1	no	—
430	C₂²⋊C₄×C₃₇	—	2	1	no	—
431	C₂²⋊C₄×C₃₇	—	2	2	no	—
432	C₂²⋊C₄×C₃₇	—	2	1	no	—
433	C₂²⋊C₄×C₃₇	—	2	2	no	—
434	C₂²⋊C₄×C₃₇	—	2	1	no	—
435	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
436	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
437	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
438	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
439	C₂²⋊C₄×C₃₇	C₂×D₄	1	2	yes	—
440	C₄²×C₃₇	—	2	1	no	—
441	C₄²×C₃₇	—	2	2	no	—
442	C₄²×C₃₇	—	2	2	no	—
443	C₄²×C₃₇	—	2	2	no	—
444	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₃₇	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
447	C₄²×C₃₇	C₂⁴	1	1	yes	characteristic
448	C₄²×C₃₇	C₂⁴	1	2	yes	—
449	C₂³×C₃₇	—	2	1	no	—
450	C₂³×C₃₇	—	2	1	no	—
451	C₂³×C₃₇	—	2	2	no	—
452	C₂³×C₃₇	—	2	1	no	—
453	C₂³×C₃₇	—	8	2	no	—
454	C₂³×C₃₇	—	8	2	no	—
455	C₂³×C₃₇	—	8	2	no	—
456	C₂³×C₃₇	C₂²×D₄	1	2	yes	—
457	C₂³×C₃₇	C₂²×D₄	1	1	yes	characteristic
458	Q₈×C₃₇	—	2	2	no	—
459	Q₈×C₃₇	—	2	1	no	—
460	Q₈×C₃₇	—	2	1	no	—
461	Q₈×C₃₇	—	2	2	no	—
462	Q₈×C₃₇	—	2	2	no	—
463	Q₈×C₃₇	—	4	2	no	—
464	Q₈×C₃₇	—	4	2	no	—
465	Q₈×C₃₇	—	8	2	no	—
466	Q₈×C₃₇	—	8	2	no	—
467	Q₈×C₃₇	—	8	1	no	—
468	D₄×C₃₇	—	2	2	no	—
469	D₄×C₃₇	—	2	1	no	—
470	D₄×C₃₇	—	2	1	no	—
471	D₄×C₃₇	—	2	1	no	—
472	D₄×C₃₇	—	2	2	no	—
473	D₄×C₃₇	—	2	1	no	—
474	D₄×C₃₇	—	2	1	no	—
475	D₄×C₃₇	—	2	2	no	—
476	D₄×C₃₇	—	2	1	no	—
477	D₄×C₃₇	—	4	2	no	—
478	D₄×C₃₇	—	4	2	no	—
479	D₄×C₃₇	—	4	2	no	—
480	D₄×C₃₇	—	8	1	no	—
481	D₄×C₃₇	—	8	1	no	—
482	D₄×C₃₇	—	8	2	no	—
483	D₄×C₃₇	—	8	2	no	—
484	D₄×C₃₇	—	8	1	no	—
485	D₄×C₃₇	—	8	2	no	—
486	D₄×C₃₇	—	8	2	no	—
487	D₄×C₃₇	—	8	2	no	—
488	D₄×C₃₇	—	8	2	no	—
489	D₄×C₃₇	—	8	1	no	—
490	D₄×C₃₇	—	8	1	no	—
491	D₄×C₃₇	—	8	2	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	—	2	1	no	—
496	C₂×C₄×C₃₇	—	2	1	no	—
497	C₂×C₄×C₃₇	—	2	1	no	—
498	C₂×C₄×C₃₇	—	2	1	no	—
499	C₂×C₄×C₃₇	—	2	1	no	—
500	C₂×C₄×C₃₇	—	2	2	no	—
501	C₂×C₄×C₃₇	—	2	2	no	—
502	C₂×C₄×C₃₇	—	2	2	no	—
503	C₂×C₄×C₃₇	—	2	1	no	—
504	C₂×C₄×C₃₇	—	2	1	no	—
505	C₂×C₄×C₃₇	—	4	1	no	—
506	C₂×C₄×C₃₇	—	4	2	no	—
507	C₂×C₄×C₃₇	—	4	2	no	—
508	C₂×C₄×C₃₇	—	4	2	no	—
509	C₂×C₄×C₃₇	—	8	2	no	—
510	C₂×C₄×C₃₇	—	8	2	no	—
511	C₂×C₄×C₃₇	—	8	2	no	—
512	C₂×C₄×C₃₇	—	8	2	no	—
513	C₂×C₄×C₃₇	—	8	2	no	—
514	C₂×C₄×C₃₇	—	8	2	no	—
515	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₃₇	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₃₇	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₃₇	C₂⁵	1	1	yes	characteristic
524	C₈×C₃₇	—	2	1	no	—
525	C₈×C₃₇	—	2	2	no	—
526	C₈×C₃₇	—	2	1	no	—
527	C₈×C₃₇	—	2	1	no	—
528	C₈×C₃₇	—	2	1	no	—
529	C₈×C₃₇	—	2	2	no	—
530	#62618	C₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
531	C₂²×C₃₇	—	2	1	no	—
532	C₂²×C₃₇	—	2	2	no	—
533	C₂²×C₃₇	—	2	1	no	—
534	C₂²×C₃₇	—	2	2	no	—
535	C₂²×C₃₇	—	2	1	no	—
536	C₂²×C₃₇	—	2	2	no	—
537	C₂²×C₃₇	—	4	1	no	—
538	C₂²×C₃₇	—	4	1	no	—
539	C₂²×C₃₇	—	4	2	no	—
540	C₂²×C₃₇	—	4	1	no	—
541	C₂²×C₃₇	—	4	1	no	—
542	C₂²×C₃₇	—	4	2	no	—
543	C₂²×C₃₇	—	4	1	no	—
544	C₂²×C₃₇	—	4	1	no	—
545	C₂²×C₃₇	—	4	1	no	—
546	C₂²×C₃₇	—	4	1	no	—
547	C₂²×C₃₇	—	4	1	no	—
548	C₂²×C₃₇	—	4	2	no	—
549	C₂²×C₃₇	—	16	4	no	—
550	C₂²×C₃₇	C₂³×D₄	1	1	yes	characteristic
551	C₄×C₃₇	—	2	1	no	—
552	C₄×C₃₇	—	2	1	no	—
553	C₄×C₃₇	—	2	2	no	—
554	C₄×C₃₇	—	2	1	no	—
555	C₄×C₃₇	—	2	2	no	—
556	C₄×C₃₇	—	2	1	no	—
557	C₄×C₃₇	—	2	2	no	—
558	C₄×C₃₇	—	4	1	no	—
559	C₄×C₃₇	—	4	2	no	—
560	C₄×C₃₇	—	4	1	no	—
561	C₄×C₃₇	—	4	1	no	—
562	C₄×C₃₇	—	4	1	no	—
563	C₄×C₃₇	—	4	1	no	—
564	C₄×C₃₇	—	4	2	no	—
565	C₄×C₃₇	—	4	2	no	—
566	C₄×C₃₇	#576	1	2	yes	—
567	C₄×C₃₇	#585	1	1	yes	characteristic
568	C₄×C₃₇	#585	1	1	yes	characteristic
569	#3552	C₂×C₃₇	1	1	yes	characteristic, complemented
570	#3546	C₂×C₃₇	1	1	yes	characteristic, complemented
571	#3368	C₂×C₃₇	1	1	yes	characteristic, complemented
572	#3367	C₂×C₃₇	1	1	yes	characteristic, complemented
573	#3364	C₂×C₃₇	1	1	yes	characteristic, complemented
574	#3358	C₂×C₃₇	1	1	yes	characteristic, complemented
575	#3333	C₂×C₃₇	1	2	yes	complemented
576	#3330	C₂×C₃₇	1	1	yes	characteristic, complemented
577	#3324	C₂×C₃₇	1	1	yes	characteristic, complemented
578	#3322	C₂×C₃₇	1	2	yes	complemented
579	#3314	C₂×C₃₇	1	2	yes	complemented
580	#3309	C₂×C₃₇	1	2	yes	complemented
581	#3302	C₂×C₃₇	1	1	yes	characteristic, complemented
582	#3294	C₂×C₃₇	1	1	yes	characteristic, complemented
583	#3243	C₂×C₃₇	1	2	yes	complemented
584	#3226	C₂×C₃₇	1	1	yes	characteristic, complemented
585	#3224	C₂×C₃₇	1	2	yes	complemented
586	#3212	C₂×C₃₇	1	1	yes	characteristic, complemented
587	#3175	C₂×C₃₇	1	2	yes	complemented
588	#3171	C₂×C₃₇	1	1	yes	characteristic, complemented
589	#3141	C₂×C₃₇	1	1	yes	characteristic, complemented
590	#3136	C₂×C₃₇	1	2	yes	complemented
591	#2969	C₂×C₃₇	1	1	yes	characteristic, complemented
592	C₂×C₃₇	—	4	1	no	—
593	C₂×C₃₇	—	4	2	no	—
594	C₂×C₃₇	—	8	1	no	—
595	C₂×C₃₇	—	8	1	no	—
596	C₂×C₃₇	—	8	2	no	—
597	C₂×C₃₇	—	8	1	no	—
598	C₂×C₃₇	#3500	1	1	yes	characteristic
599	C₂×C₃₇	C₂×#576	1	1	yes	characteristic
600	C₂×C₃₇	#3586	1	1	yes	characteristic
601	#563	—	2	2	no	—
602	#560	—	2	2	no	—
603	#557	C₂²×C₃₇	1	1	yes	characteristic, complemented
604	#556	C₂²×C₃₇	1	1	yes	characteristic
605	#556	C₂²×C₃₇	1	1	yes	characteristic
606	#554	C₂²×C₃₇	1	2	yes	complemented
607	#553	—	2	1	no	—
608	#553	C₂²×C₃₇	1	2	yes	complemented
609	#550	C₂²×C₃₇	1	2	yes	—
610	#550	C₂²×C₃₇	1	1	yes	characteristic
611	D₄×Q₈	—	2	1	no	—
612	D₄×Q₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
613	#548	—	2	1	no	—
614	#547	C₂²×C₃₇	1	1	yes	characteristic
615	#547	C₂²×C₃₇	1	1	yes	characteristic
616	#546	—	2	1	no	—
617	#546	C₂²×C₃₇	1	2	yes	—
618	D₄²	C₂²×C₃₇	1	1	yes	characteristic
619	#544	C₂²×C₃₇	1	2	yes	complemented
620	#542	C₂²×C₃₇	1	2	yes	—
621	#542	C₂²×C₃₇	1	2	yes	complemented
622	#541	—	2	1	no	—
623	#539	—	2	2	no	—
624	#538	—	2	2	no	—
625	#537	—	2	1	no	—
626	#536	—	2	1	no	—
627	#535	—	2	1	no	—
628	#535	C₂²×C₃₇	1	2	yes	—
629	#532	C₂²×C₃₇	1	1	yes	characteristic
630	#532	C₂²×C₃₇	1	1	yes	characteristic
631	C₂×C₄⋊Q₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
632	#529	C₂²×C₃₇	1	1	yes	characteristic
633	#529	C₂²×C₃₇	1	1	yes	characteristic, complemented
634	#501	C₂²×C₃₇	1	1	yes	characteristic, complemented
635	#500	C₂²×C₃₇	1	2	yes	complemented
636	#496	C₂²×C₃₇	1	1	yes	characteristic
637	#495	C₂²×C₃₇	1	2	yes	complemented
638	#490	C₂²×C₃₇	1	1	yes	characteristic
639	#490	C₂²×C₃₇	1	2	yes	complemented
640	#489	C₂²×C₃₇	1	2	yes	—
641	#489	C₂²×C₃₇	1	2	yes	complemented
642	#489	C₂²×C₃₇	1	2	yes	complemented
643	#489	C₂²×C₃₇	1	1	yes	characteristic, complemented
644	#488	C₂²×C₃₇	1	2	yes	—
645	#488	C₂²×C₃₇	1	2	yes	complemented
646	#487	C₂²×C₃₇	1	1	yes	characteristic, complemented
647	#487	C₂²×C₃₇	1	1	yes	characteristic, complemented
648	#486	C₂²×C₃₇	1	1	yes	characteristic
649	#486	C₂²×C₃₇	1	1	yes	characteristic
650	#486	C₂²×C₃₇	1	2	yes	—
651	#486	C₂²×C₃₇	1	2	yes	complemented
652	#485	C₂²×C₃₇	1	2	yes	complemented
653	#484	C₂²×C₃₇	1	2	yes	complemented
654	#482	C₂²×C₃₇	1	2	yes	—
655	#480	C₂²×C₃₇	1	2	yes	—
656	#480	C₂²×C₃₇	1	2	yes	—
657	#480	C₂²×C₃₇	1	2	yes	complemented
658	#479	C₂²×C₃₇	1	2	yes	complemented
659	#478	C₂²×C₃₇	1	2	yes	complemented
660	#477	C₂²×C₃₇	1	2	yes	complemented
661	#474	C₂²×C₃₇	1	1	yes	characteristic
662	#474	C₂²×C₃₇	1	1	yes	characteristic
663	#474	C₂²×C₃₇	1	1	yes	characteristic, complemented
664	#474	C₂²×C₃₇	1	1	yes	characteristic, complemented
665	#474	C₂²×C₃₇	1	2	yes	complemented
666	#469	C₂²×C₃₇	1	1	yes	characteristic
667	#469	C₂²×C₃₇	1	1	yes	characteristic, complemented
668	#468	C₂²×C₃₇	1	2	yes	—
669	#468	C₂²×C₃₇	1	1	yes	characteristic
670	#468	C₂²×C₃₇	1	2	yes	complemented
671	#468	C₂²×C₃₇	1	1	yes	characteristic, complemented
672	#467	C₂²×C₃₇	1	2	yes	complemented
673	#466	C₂²×C₃₇	1	2	yes	—
674	#464	C₂²×C₃₇	1	2	yes	—
675	#463	C₂²×C₃₇	1	2	yes	—
676	#462	C₂²×C₃₇	1	1	yes	characteristic, complemented
677	#461	C₂²×C₃₇	1	1	yes	characteristic, complemented
678	#460	C₂²×C₃₇	1	1	yes	characteristic
679	#460	C₂²×C₃₇	1	2	yes	complemented
680	#459	C₂²×C₃₇	1	1	yes	characteristic
681	#459	C₂²×C₃₇	1	2	yes	complemented
682	#452	C₂²×C₃₇	1	2	yes	complemented
683	#452	C₂²×C₃₇	1	2	yes	complemented
684	#450	C₂²×C₃₇	1	2	yes	—
685	#449	C₂²×C₃₇	1	2	yes	complemented
686	#449	C₂²×C₃₇	1	2	yes	complemented
687	#447	C₂²×C₃₇	1	2	yes	—
688	#446	C₂²×C₃₇	1	1	yes	characteristic, complemented
689	C₈×Q₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
690	#440	C₂²×C₃₇	1	2	yes	complemented
691	#440	C₂²×C₃₇	1	2	yes	complemented
692	C₄×Q₁₆	C₂²×C₃₇	1	2	yes	complemented
693	C₄×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic
694	C₄×SD₁₆	C₂²×C₃₇	1	1	yes	characteristic, complemented
695	C₄×D₈	C₂²×C₃₇	1	1	yes	characteristic
696	C₄×D₈	C₂²×C₃₇	1	1	yes	characteristic, complemented
697	C₄×D₈	C₂²×C₃₇	1	2	yes	complemented
698	#436	C₂²×C₃₇	1	1	yes	characteristic
699	#436	C₂²×C₃₇	1	2	yes	complemented
700	#435	C₂²×C₃₇	1	2	yes	complemented
701	C₈×D₄	C₂²×C₃₇	1	1	yes	characteristic
702	#433	C₂²×C₃₇	1	2	yes	complemented
703	#431	C₂²×C₃₇	1	1	yes	characteristic, complemented
704	#418	C₂²×C₃₇	1	2	yes	—
705	#417	C₂²×C₃₇	1	2	yes	complemented
706	#417	C₂²×C₃₇	1	2	yes	complemented
707	#417	C₂²×C₃₇	1	2	yes	complemented
708	#416	C₂²×C₃₇	1	2	yes	complemented
709	C₂×#102	C₂²×C₃₇	1	2	yes	—
710	#405	C₂²×C₃₇	1	2	yes	complemented
711	C₄×M₁₆	C₂²×C₃₇	1	1	yes	characteristic, complemented
712	C₃₇	#62618	1	1	yes	characteristic, direct product factor, Sylow
713	C₂×#41	—	2	1	no	—
714	C₂×#41	—	2	1	no	—
715	C₂×#41	—	2	1	no	—
716	C₂×#41	C₂³×C₃₇	1	2	yes	—
717	C₂×#41	C₂³×C₃₇	1	2	yes	—
718	C₂²×Q₈	—	2	1	no	—
719	C₂²×Q₈	—	2	1	no	—
720	C₂²×D₄	—	2	1	no	—
721	C₂²×D₄	C₂³×C₃₇	1	2	yes	—
722	C₂×Q₁₆	C₂³×C₃₇	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₃₇	1	1	yes	characteristic
724	C₂×SD₁₆	C₂³×C₃₇	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₃₇	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₃₇	1	2	yes	—
727	C₂×D₈	C₂³×C₃₇	1	1	yes	characteristic
728	C₂×D₈	C₂³×C₃₇	1	2	yes	—
729	C₂×D₈	C₂³×C₃₇	1	1	yes	characteristic
730	C₂×M₁₆	C₂³×C₃₇	1	1	yes	characteristic
731	C₂×M₁₆	C₂³×C₃₇	1	1	yes	characteristic
732	C₂×M₁₆	C₂³×C₃₇	1	2	yes	—
733	C₂²×C₈	C₂³×C₃₇	1	2	yes	—
734	C₄⋊Q₈	—	2	1	no	—
735	C₄⋊Q₈	—	2	2	no	—
736	C₄⋊Q₈	—	2	1	no	—
737	C₄⋊Q₈	—	2	1	no	—
738	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
739	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
740	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
742	C₄⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
743	C₄⋊Q₈	C₂³×C₃₇	1	2	yes	—
744	#127	—	2	2	no	—
745	#127	C₂³×C₃₇	1	1	yes	characteristic
746	#127	C₂³×C₃₇	1	1	yes	characteristic
747	#127	C₂³×C₃₇	1	2	yes	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#126	—	2	2	no	—
752	#126	—	2	2	no	—
753	#126	—	2	1	no	—
754	#126	D₄×C₃₇	1	2	yes	—
755	#125	—	2	2	no	—
756	#125	—	2	2	no	—
757	#125	—	2	2	no	—
758	#125	D₄×C₃₇	1	1	yes	characteristic
759	#125	C₂³×C₃₇	1	1	yes	characteristic
760	#125	C₂³×C₃₇	1	2	yes	—
761	#124	—	2	1	no	—
762	#124	—	2	2	no	—
763	#124	—	2	2	no	—
764	#124	—	2	1	no	—
765	#124	D₄×C₃₇	1	1	yes	characteristic
766	#124	C₂³×C₃₇	1	1	yes	characteristic
767	#124	C₂³×C₃₇	1	2	yes	—
768	#124	C₂³×C₃₇	1	2	yes	—
769	#123	—	2	1	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	D₄×C₃₇	1	2	yes	—
777	C₂²⋊Q₈	—	2	1	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	—	2	2	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	D₄×C₃₇	1	1	yes	characteristic
788	C₂²⋊Q₈	C₂³×C₃₇	1	1	yes	characteristic
789	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
790	C₂²⋊Q₈	C₂³×C₃₇	1	2	yes	—
791	#121	—	2	1	no	—
792	#121	—	2	2	no	—
793	#121	—	2	1	no	—
794	#121	—	2	1	no	—
795	#121	—	2	1	no	—
796	#121	—	2	1	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	—	2	1	no	—
800	#121	—	2	2	no	—
801	#121	—	2	2	no	—
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	D₄×C₃₇	1	1	yes	characteristic
805	#121	C₂³×C₃₇	1	1	yes	characteristic
806	#121	C₂³×C₃₇	1	1	yes	characteristic
807	#121	C₂³×C₃₇	1	1	yes	characteristic
808	#121	C₂³×C₃₇	1	2	yes	—
809	#121	C₂³×C₃₇	1	2	yes	—
810	#120	—	2	2	no	—
811	#120	—	2	2	no	—
812	#120	—	2	2	no	—
813	#120	—	2	2	no	—
814	C₄×Q₈	—	2	1	no	—
815	C₄×Q₈	—	2	1	no	—
816	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
817	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
818	C₄×Q₈	C₂³×C₃₇	1	2	yes	—
819	C₄×Q₈	C₂³×C₃₇	1	1	yes	characteristic
820	C₄×D₄	—	2	2	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	—	2	2	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	1	no	—
827	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
828	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
829	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₃₇	1	2	yes	—
831	C₄×D₄	C₂³×C₃₇	1	2	yes	—
832	C₄×D₄	C₂³×C₃₇	1	1	yes	characteristic
833	C₄×D₄	C₂³×C₃₇	1	2	yes	—
834	#117	—	2	1	no	—
835	#117	—	2	1	no	—
836	#117	C₂³×C₃₇	1	2	yes	—
837	#117	C₂³×C₃₇	1	2	yes	—
838	C₂×C₄⋊C₄	—	2	1	no	—
839	C₂×C₄⋊C₄	—	2	1	no	—
840	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
841	C₂×C₄⋊C₄	C₂³×C₃₇	1	2	yes	—
842	C₂×C₂²⋊C₄	—	2	2	no	—
843	C₂×C₄²	C₂³×C₃₇	1	1	yes	characteristic
844	#107	C₂³×C₃₇	1	1	yes	characteristic
845	#107	C₂³×C₃₇	1	2	yes	—
846	#107	C₂³×C₃₇	1	1	yes	characteristic
847	#107	C₂³×C₃₇	1	2	yes	—
848	#107	C₂³×C₃₇	1	2	yes	—
849	#107	C₂³×C₃₇	1	2	yes	—
850	#106	C₂³×C₃₇	1	1	yes	characteristic
851	#106	C₂³×C₃₇	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₃₇	1	1	yes	characteristic
854	C₄⋊C₈	C₂³×C₃₇	1	2	yes	—
855	C₄⋊C₈	C₂³×C₃₇	1	2	yes	—
856	#103	C₂³×C₃₇	1	2	yes	—
857	#103	C₂³×C₃₇	1	2	yes	—
858	#103	C₂³×C₃₇	1	2	yes	—
859	#103	C₂³×C₃₇	1	2	yes	—
860	#103	C₂³×C₃₇	1	2	yes	—
861	#103	C₂³×C₃₇	1	2	yes	—
862	#103	C₂³×C₃₇	1	1	yes	characteristic
863	#103	C₂³×C₃₇	1	1	yes	characteristic
864	#102	C₂³×C₃₇	1	1	yes	characteristic
865	#102	C₂³×C₃₇	1	2	yes	—
866	#102	C₂³×C₃₇	1	2	yes	—
867	#102	C₂³×C₃₇	1	2	yes	—
868	#102	C₂³×C₃₇	1	1	yes	characteristic
869	#102	C₂³×C₃₇	1	2	yes	—
870	#102	C₂³×C₃₇	1	1	yes	characteristic
871	#102	C₂³×C₃₇	1	2	yes	—
872	#102	C₂³×C₃₇	1	2	yes	—
873	#102	C₂³×C₃₇	1	2	yes	—
874	#102	C₂³×C₃₇	1	2	yes	—
875	#102	C₂³×C₃₇	1	1	yes	characteristic
876	#102	C₂³×C₃₇	1	2	yes	—
877	#102	C₂³×C₃₇	1	2	yes	—
878	#102	C₂³×C₃₇	1	1	yes	characteristic
879	#102	C₂³×C₃₇	1	1	yes	characteristic
880	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₃₇	1	2	yes	—
883	#97	C₂³×C₃₇	1	1	yes	characteristic
884	#97	C₂³×C₃₇	1	1	yes	characteristic
885	#97	C₂³×C₃₇	1	2	yes	—
886	C₄×C₈	C₂³×C₃₇	1	1	yes	characteristic
887	C₄×C₈	C₂³×C₃₇	1	1	yes	characteristic
888	C₄×C₈	C₂³×C₃₇	1	2	yes	—
889	C₄×C₈	C₂³×C₃₇	1	2	yes	—
890	C₂⁴	—	2	2	no	—
891	#41	—	4	2	no	—
892	#41	—	4	2	no	—
893	#41	—	4	2	no	—
894	#41	—	4	2	no	—
895	#41	—	8	2	no	—
896	#41	—	8	2	no	—
897	#41	—	8	2	no	—
898	C₂×Q₈	—	2	1	no	—
899	C₂×Q₈	—	2	1	no	—
900	C₂×Q₈	—	2	2	no	—
901	C₂×Q₈	—	2	1	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	8	2	no	—
904	C₂×Q₈	—	8	2	no	—
905	C₂×Q₈	C₂×D₄×C₃₇	1	1	yes	characteristic
906	C₂×Q₈	C₂⁴×C₃₇	1	2	yes	—
907	C₂×Q₈	C₂⁴×C₃₇	1	1	yes	characteristic
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	1	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	4	2	no	—
923	C₂×D₄	—	4	2	no	—
924	C₂×D₄	—	8	2	no	—
925	C₂×D₄	C₂×D₄×C₃₇	1	1	yes	characteristic
926	C₂×D₄	C₂×D₄×C₃₇	1	2	yes	—
927	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
928	C₂×D₄	C₂⁴×C₃₇	1	2	yes	—
929	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
930	C₂×D₄	C₂⁴×C₃₇	1	1	yes	characteristic
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
941	C₂²×C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
942	C₂²×C₄	C₂⁴×C₃₇	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴×C₃₇	1	2	yes	—
944	Q₁₆	—	4	2	no	—
945	SD₁₆	—	4	1	no	—
946	SD₁₆	—	4	1	no	—
947	SD₁₆	—	4	2	no	—
948	SD₁₆	—	4	2	no	—
949	D₈	—	4	2	no	—
950	D₈	—	4	1	no	—
951	D₈	—	4	1	no	—
952	M₁₆	—	4	1	no	—
953	M₁₆	—	4	1	no	—
954	M₁₆	—	4	2	no	—
955	C₂×C₈	—	4	2	no	—
956	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
957	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
958	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
959	C₂×C₈	C₂⁴×C₃₇	1	2	yes	—
960	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
961	C₂×C₈	C₂⁴×C₃₇	1	1	yes	characteristic
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
982	C₄⋊C₄	C₂×D₄×C₃₇	1	1	yes	characteristic
983	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
984	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
985	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
986	C₄⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
987	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
989	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
990	C₄⋊C₄	C₂⁴×C₃₇	1	2	yes	—
991	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
992	C₄⋊C₄	C₂⁴×C₃₇	1	1	yes	characteristic
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	1	no	—
1013	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1017	C₂²⋊C₄	C₂×D₄×C₃₇	1	2	yes	—
1018	C₄²	—	2	1	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	2	no	—
1022	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
1023	C₄²	C₂×D₄×C₃₇	1	1	yes	characteristic
1024	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1025	C₄²	C₂⁴×C₃₇	1	1	yes	characteristic
1026	C₄²	C₂⁴×C₃₇	1	2	yes	—
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	8	2	no	—
1032	C₂³	—	8	2	no	—
1033	C₂³	—	8	2	no	—
1034	C₂³	C₂²×D₄×C₃₇	1	2	yes	—
1035	C₂³	C₂²×D₄×C₃₇	1	1	yes	characteristic
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	2	2	no	—
1040	Q₈	—	2	2	no	—
1041	Q₈	—	4	2	no	—
1042	Q₈	—	4	2	no	—
1043	Q₈	—	8	2	no	—
1044	Q₈	—	8	2	no	—
1045	Q₈	—	8	1	no	—
1046	D₄	—	2	2	no	—
1047	D₄	—	2	1	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	1	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	1	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	8	2	no	—
1059	D₄	—	8	1	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	1	no	—
1062	D₄	—	8	1	no	—
1063	D₄	—	8	2	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	1	no	—
1068	D₄	—	8	1	no	—
1069	D₄	—	8	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	2	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
1094	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
1095	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1096	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1097	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1099	C₂×C₄	C₂²×D₄×C₃₇	1	2	yes	—
1100	C₂×C₄	C₂²×D₄×C₃₇	1	1	yes	characteristic
1101	C₂×C₄	C₂⁵×C₃₇	1	1	yes	characteristic
1102	C₈	—	2	1	no	—
1103	C₈	—	2	2	no	—
1104	C₈	—	2	1	no	—
1105	C₈	—	2	1	no	—
1106	C₈	—	2	1	no	—
1107	C₈	—	2	2	no	—
1108	C₂²	—	2	1	no	—
1109	C₂²	—	2	2	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	2	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	16	4	no	—
1127	C₂²	C₂³×D₄×C₃₇	1	1	yes	characteristic
1128	C₄	—	2	1	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	1	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	2	1	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	1	no	—
1143	C₄	C₃₇×#576	1	2	yes	—
1144	C₄	C₃₇×#585	1	1	yes	characteristic
1145	C₄	C₃₇×#585	1	1	yes	characteristic
1146	C₂	—	4	2	no	—
1147	C₂	—	4	1	no	—
1148	C₂	—	8	1	no	—
1149	C₂	—	8	2	no	—
1150	C₂	—	8	1	no	—
1151	C₂	—	8	1	no	—
1152	C₂	C₃₇×#3500	1	1	yes	characteristic
1153	C₂	C₂×C₃₇×#576	1	1	yes	characteristic
1154	C₂	C₃₇×#3586	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×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃₇×#3552	C₂	semidirect
2. C₃₇×#3546	C₂	semidirect
3. C₃₇×#3368	C₂	semidirect
4. C₃₇×#3367	C₂	semidirect
5. C₃₇×#3364	C₂	semidirect
6. C₃₇×#3358	C₂	semidirect
7. C₃₇×#3333	C₂	semidirect
8. C₃₇×#3330	C₂	semidirect
9. C₃₇×#3324	C₂	semidirect
10. C₃₇×#3322	C₂	semidirect
11. C₃₇×#3314	C₂	semidirect
12. C₃₇×#3309	C₂	semidirect
13. C₃₇×#3302	C₂	semidirect
14. C₃₇×#3294	C₂	semidirect
15. C₃₇×#3243	C₂	semidirect
16. C₃₇×#3226	C₂	semidirect
17. C₃₇×#3224	C₂	semidirect
18. C₃₇×#3212	C₂	semidirect
19. C₃₇×#3175	C₂	semidirect
20. C₃₇×#3171	C₂	semidirect
21. C₃₇×#3141	C₂	semidirect
22. C₃₇×#3136	C₂	semidirect
23. C₃₇×#2969	C₂	semidirect
26. C₃₇×#557	C₂²	semidirect
29. C₃₇×#554	C₂²	semidirect
31. C₃₇×#553	C₂²	semidirect
35. D₄×Q₈×C₃₇	C₂²	semidirect
42. C₃₇×#544	C₂²	semidirect
44. C₃₇×#542	C₂²	semidirect
54. C₂×C₄⋊Q₈×C₃₇	C₂²	semidirect
56. C₃₇×#529	C₂²	semidirect
57. C₃₇×#501	C₂²	semidirect
58. C₃₇×#500	C₂²	semidirect
60. C₃₇×#495	C₂²	semidirect
62. C₃₇×#490	C₂²	semidirect
64. C₃₇×#489	C₂²	semidirect
65. C₃₇×#489	C₂²	semidirect
66. C₃₇×#489	C₂²	semidirect
68. C₃₇×#488	C₂²	semidirect
69. C₃₇×#487	C₂²	semidirect
70. C₃₇×#487	C₂²	semidirect
74. C₃₇×#486	C₂²	semidirect
75. C₃₇×#485	C₂²	semidirect
76. C₃₇×#484	C₂²	semidirect
80. C₃₇×#480	C₂²	semidirect
81. C₃₇×#479	C₂²	semidirect
82. C₃₇×#478	C₂²	semidirect
83. C₃₇×#477	C₂²	semidirect
86. C₃₇×#474	C₂²	semidirect
87. C₃₇×#474	C₂²	semidirect
88. C₃₇×#474	C₂²	semidirect
90. C₃₇×#469	C₂²	semidirect
93. C₃₇×#468	C₂²	semidirect
94. C₃₇×#468	C₂²	semidirect
95. C₃₇×#467	C₂²	semidirect
99. C₃₇×#462	C₂²	semidirect
100. C₃₇×#461	C₂²	semidirect
102. C₃₇×#460	C₂²	semidirect
104. C₃₇×#459	C₂²	semidirect
105. C₃₇×#452	C₂²	semidirect
106. C₃₇×#452	C₂²	semidirect
108. C₃₇×#449	C₂²	semidirect
109. C₃₇×#449	C₂²	semidirect
111. C₃₇×#446	C₂²	semidirect
112. C₈×Q₈×C₃₇	C₂²	semidirect
113. C₃₇×#440	C₂²	semidirect
114. C₃₇×#440	C₂²	semidirect
115. C₄×Q₁₆×C₃₇	C₂²	semidirect
117. C₄×SD₁₆×C₃₇	C₂²	semidirect
119. C₄×D₈×C₃₇	C₂²	semidirect
120. C₄×D₈×C₃₇	C₂²	semidirect
122. C₃₇×#436	C₂²	semidirect
123. C₃₇×#435	C₂²	semidirect
125. C₃₇×#433	C₂²	semidirect
126. C₃₇×#431	C₂²	semidirect
128. C₃₇×#417	C₂²	semidirect
129. C₃₇×#417	C₂²	semidirect
130. C₃₇×#417	C₂²	semidirect
131. C₃₇×#416	C₂²	semidirect
133. C₃₇×#405	C₂²	semidirect
134. C₄×M₁₆×C₃₇	C₂²	semidirect
530. #62618	C₃₇	direct (N × H)
569. #3552	C₂×C₃₇	semidirect
570. #3546	C₂×C₃₇	semidirect
571. #3368	C₂×C₃₇	semidirect
572. #3367	C₂×C₃₇	semidirect
573. #3364	C₂×C₃₇	semidirect
574. #3358	C₂×C₃₇	semidirect
575. #3333	C₂×C₃₇	semidirect
576. #3330	C₂×C₃₇	semidirect
577. #3324	C₂×C₃₇	semidirect
578. #3322	C₂×C₃₇	semidirect
579. #3314	C₂×C₃₇	semidirect
580. #3309	C₂×C₃₇	semidirect
581. #3302	C₂×C₃₇	semidirect
582. #3294	C₂×C₃₇	semidirect
583. #3243	C₂×C₃₇	semidirect
584. #3226	C₂×C₃₇	semidirect
585. #3224	C₂×C₃₇	semidirect
586. #3212	C₂×C₃₇	semidirect
587. #3175	C₂×C₃₇	semidirect
588. #3171	C₂×C₃₇	semidirect
589. #3141	C₂×C₃₇	semidirect
590. #3136	C₂×C₃₇	semidirect
591. #2969	C₂×C₃₇	semidirect
603. #557	C₂²×C₃₇	semidirect
606. #554	C₂²×C₃₇	semidirect
608. #553	C₂²×C₃₇	semidirect
612. D₄×Q₈	C₂²×C₃₇	semidirect
619. #544	C₂²×C₃₇	semidirect
621. #542	C₂²×C₃₇	semidirect
631. C₂×C₄⋊Q₈	C₂²×C₃₇	semidirect
633. #529	C₂²×C₃₇	semidirect
634. #501	C₂²×C₃₇	semidirect
635. #500	C₂²×C₃₇	semidirect
637. #495	C₂²×C₃₇	semidirect
639. #490	C₂²×C₃₇	semidirect
641. #489	C₂²×C₃₇	semidirect
642. #489	C₂²×C₃₇	semidirect
643. #489	C₂²×C₃₇	semidirect
645. #488	C₂²×C₃₇	semidirect
646. #487	C₂²×C₃₇	semidirect
647. #487	C₂²×C₃₇	semidirect
651. #486	C₂²×C₃₇	semidirect
652. #485	C₂²×C₃₇	semidirect
653. #484	C₂²×C₃₇	semidirect
657. #480	C₂²×C₃₇	semidirect
658. #479	C₂²×C₃₇	semidirect
659. #478	C₂²×C₃₇	semidirect
660. #477	C₂²×C₃₇	semidirect
663. #474	C₂²×C₃₇	semidirect
664. #474	C₂²×C₃₇	semidirect
665. #474	C₂²×C₃₇	semidirect
667. #469	C₂²×C₃₇	semidirect
670. #468	C₂²×C₃₇	semidirect
671. #468	C₂²×C₃₇	semidirect
672. #467	C₂²×C₃₇	semidirect
676. #462	C₂²×C₃₇	semidirect
677. #461	C₂²×C₃₇	semidirect
679. #460	C₂²×C₃₇	semidirect
681. #459	C₂²×C₃₇	semidirect
682. #452	C₂²×C₃₇	semidirect
683. #452	C₂²×C₃₇	semidirect
685. #449	C₂²×C₃₇	semidirect
686. #449	C₂²×C₃₇	semidirect
688. #446	C₂²×C₃₇	semidirect
689. C₈×Q₈	C₂²×C₃₇	semidirect
690. #440	C₂²×C₃₇	semidirect
691. #440	C₂²×C₃₇	semidirect
692. C₄×Q₁₆	C₂²×C₃₇	semidirect
694. C₄×SD₁₆	C₂²×C₃₇	semidirect
696. C₄×D₈	C₂²×C₃₇	semidirect
697. C₄×D₈	C₂²×C₃₇	semidirect
699. #436	C₂²×C₃₇	semidirect
700. #435	C₂²×C₃₇	semidirect
702. #433	C₂²×C₃₇	semidirect
703. #431	C₂²×C₃₇	semidirect
705. #417	C₂²×C₃₇	semidirect
706. #417	C₂²×C₃₇	semidirect
707. #417	C₂²×C₃₇	semidirect
708. #416	C₂²×C₃₇	semidirect
710. #405	C₂²×C₃₇	semidirect
711. C₄×M₁₆	C₂²×C₃₇	semidirect
712. C₃₇	#62618	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×#3552	2
C₃₇×#3546	2
C₃₇×#3368	2
C₃₇×#3367	2
C₃₇×#3364	2
C₃₇×#3358	2
C₃₇×#3333	2
C₃₇×#3330	2
C₃₇×#3324	2
C₃₇×#3322	2
C₃₇×#3314	2
C₃₇×#3309	2
C₃₇×#3302	2
C₃₇×#3294	2
C₃₇×#3243	2
C₃₇×#3226	2
C₃₇×#3224	2
C₃₇×#3212	2
C₃₇×#3175	2
C₃₇×#3171	2
C₃₇×#3141	2
C₃₇×#3136	2
C₃₇×#2969	2
#62618	37

Subgroups — C37×#62618 #22683871

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃₇×#62618 #22683871