Subgroups — C₁₃₇×#21156 #46870542

Order 35072.

982 conjugacy classes of subgroups.

The subgroup lattice has 316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#427×C₁₃₇	C₂	1	1	yes	maximal, characteristic
2	C₂²×#107×C₁₃₇	C₂	1	1	yes	maximal, characteristic
3	C₂×#405×C₁₃₇	C₂	1	1	yes	maximal, characteristic
4	#2317×C₁₃₇	C₂	1	2	yes	maximal
5	#1944×C₁₃₇	C₂	1	4	yes	maximal, complemented
6	#1942×C₁₃₇	C₂	1	4	yes	maximal, complemented
7	#1736×C₁₃₇	C₂	1	2	yes	maximal
8	C₂²×M₁₆×C₁₃₇	C₂²	1	1	yes	characteristic
9	C₂³×C₈×C₁₃₇	C₂²	1	1	yes	characteristic
10	C₂×#117×C₁₃₇	C₂²	1	2	yes	—
11	C₂×#117×C₁₃₇	C₂²	1	1	yes	characteristic
12	C₂²×C₄⋊C₄×C₁₃₇	C₂²	1	2	yes	—
13	#427×C₁₃₇	C₄	1	8	yes	complemented
14	C₂×#107×C₁₃₇	—	2	4	no	—
15	C₂×#107×C₁₃₇	C₂²	1	2	yes	—
16	C₂×#107×C₁₃₇	C₂²	1	2	yes	—
17	C₂×#107×C₁₃₇	C₂²	1	2	yes	—
18	C₂×#106×C₁₃₇	C₂²	1	2	yes	—
19	#405×C₁₃₇	—	2	4	no	—
20	C₂×#97×C₁₃₇	C₂²	1	2	yes	—
21	C₂×C₄×C₈×C₁₃₇	C₂²	1	2	yes	—
22	#389×C₁₃₇	C₂²	1	8	yes	—
23	#385×C₁₃₇	—	2	4	no	—
24	#384×C₁₃₇	—	2	2	no	—
25	#382×C₁₃₇	—	2	2	no	—
26	#340×C₁₃₇	C₂²	1	8	yes	—
27	C₂³×C₄×C₁₃₇	—	2	2	no	—
28	C₂³×C₄×C₁₃₇	C₂³	1	1	yes	characteristic
29	C₂×M₁₆×C₁₃₇	—	2	2	no	—
30	C₂×M₁₆×C₁₃₇	—	2	2	no	—
31	C₂×M₁₆×C₁₃₇	Q₈	1	4	yes	—
32	C₂²×C₈×C₁₃₇	C₂×C₄	1	4	yes	—
33	C₂²×C₈×C₁₃₇	D₄	1	4	yes	—
34	C₂²×C₈×C₁₃₇	Q₈	1	4	yes	—
35	C₂²×C₈×C₁₃₇	C₂³	1	2	yes	—
36	C₂²×C₈×C₁₃₇	C₂³	1	1	yes	characteristic
37	C₂²×C₈×C₁₃₇	C₂³	1	1	yes	characteristic
38	#117×C₁₃₇	—	2	2	no	—
39	#117×C₁₃₇	—	2	4	no	—
40	#117×C₁₃₇	—	2	2	no	—
41	#117×C₁₃₇	C₂×C₄	1	8	yes	—
42	C₂×C₄⋊C₄×C₁₃₇	—	2	4	no	—
43	C₂×C₄⋊C₄×C₁₃₇	—	2	4	no	—
44	C₂×C₄⋊C₄×C₁₃₇	—	2	2	no	—
45	C₂×C₄⋊C₄×C₁₃₇	—	2	8	no	—
46	C₂×C₄⋊C₄×C₁₃₇	D₄	1	1	yes	characteristic
47	C₂×C₄⋊C₄×C₁₃₇	D₄	1	1	yes	characteristic
48	C₂×C₄⋊C₄×C₁₃₇	C₂³	1	4	yes	—
49	C₂×C₄⋊C₄×C₁₃₇	C₂³	1	4	yes	—
50	C₂×C₂²⋊C₄×C₁₃₇	—	2	2	no	—
51	C₂×C₂²⋊C₄×C₁₃₇	D₄	1	2	yes	—
52	C₂×C₄²×C₁₃₇	—	2	2	no	—
53	C₂×C₄²×C₁₃₇	C₂³	1	2	yes	—
54	#107×C₁₃₇	—	2	4	no	—
55	#107×C₁₃₇	—	2	4	no	—
56	#107×C₁₃₇	C₂×C₄	1	8	yes	complemented
57	#106×C₁₃₇	C₂×C₄	1	8	yes	complemented
58	#97×C₁₃₇	—	2	4	no	—
59	C₄×C₈×C₁₃₇	—	2	4	no	—
60	#95×C₁₃₇	—	2	8	no	—
61	C₂⁴×C₁₃₇	C₂×D₄	1	1	yes	characteristic
62	C₂²×C₄×C₁₃₇	—	2	4	no	—
63	C₂²×C₄×C₁₃₇	—	2	4	no	—
64	C₂²×C₄×C₁₃₇	—	4	4	no	—
65	C₂²×C₄×C₁₃₇	—	8	4	no	—
66	C₂²×C₄×C₁₃₇	C₂²×C₄	1	2	yes	—
67	C₂²×C₄×C₁₃₇	C₂×D₄	1	2	yes	—
68	C₂²×C₄×C₁₃₇	C₂×D₄	1	2	yes	—
69	C₂²×C₄×C₁₃₇	C₂×D₄	1	2	yes	—
70	C₂²×C₄×C₁₃₇	C₂×D₄	1	1	yes	characteristic
71	C₂²×C₄×C₁₃₇	C₂×Q₈	1	2	yes	—
72	C₂²×C₄×C₁₃₇	C₂×Q₈	1	2	yes	—
73	C₂²×C₄×C₁₃₇	#41	1	2	yes	—
74	C₂²×C₄×C₁₃₇	#41	1	2	yes	—
75	C₂²×C₄×C₁₃₇	C₂⁴	1	1	yes	characteristic
76	M₁₆×C₁₃₇	—	2	8	no	—
77	C₂×C₈×C₁₃₇	—	2	2	no	—
78	C₂×C₈×C₁₃₇	—	2	2	no	—
79	C₂×C₈×C₁₃₇	C₄⋊C₄	1	16	yes	complemented
80	C₂×C₈×C₁₃₇	C₂²×C₄	1	2	yes	—
81	C₂×C₈×C₁₃₇	C₂²×C₄	1	2	yes	—
82	C₂×C₈×C₁₃₇	C₂×D₄	1	2	yes	—
83	C₂×C₈×C₁₃₇	C₂×D₄	1	2	yes	—
84	C₂×C₈×C₁₃₇	C₂×Q₈	1	4	yes	—
85	C₂×C₈×C₁₃₇	C₂×Q₈	1	2	yes	—
86	C₂×C₈×C₁₃₇	C₂×Q₈	1	2	yes	—
87	C₄⋊C₄×C₁₃₇	—	2	2	no	—
88	C₄⋊C₄×C₁₃₇	—	2	2	no	—
89	C₄⋊C₄×C₁₃₇	—	2	4	no	—
90	C₄⋊C₄×C₁₃₇	—	2	4	no	—
91	C₄⋊C₄×C₁₃₇	—	2	4	no	—
92	C₄⋊C₄×C₁₃₇	—	4	4	no	—
93	C₄⋊C₄×C₁₃₇	—	8	8	no	—
94	C₄⋊C₄×C₁₃₇	C₂²×C₄	1	8	yes	—
95	C₂²⋊C₄×C₁₃₇	—	2	8	no	—
96	C₂²⋊C₄×C₁₃₇	—	2	4	no	—
97	C₄²×C₁₃₇	—	2	8	no	—
98	C₄²×C₁₃₇	—	2	2	no	—
99	C₄²×C₁₃₇	—	2	2	no	—
100	C₂³×C₁₃₇	—	2	2	no	—
101	C₂³×C₁₃₇	—	2	2	no	—
102	C₂³×C₁₃₇	C₄×D₄	1	2	yes	—
103	C₂³×C₁₃₇	#121	1	2	yes	—
104	C₂³×C₁₃₇	C₄⋊Q₈	1	2	yes	—
105	C₂³×C₁₃₇	C₂²×D₄	1	1	yes	characteristic
106	C₂×C₄×C₁₃₇	—	2	8	no	—
107	C₂×C₄×C₁₃₇	—	2	2	no	—
108	C₂×C₄×C₁₃₇	—	2	2	no	—
109	C₂×C₄×C₁₃₇	—	2	4	no	—
110	C₂×C₄×C₁₃₇	—	2	4	no	—
111	C₂×C₄×C₁₃₇	—	4	4	no	—
112	C₂×C₄×C₁₃₇	—	4	4	no	—
113	C₂×C₄×C₁₃₇	—	4	4	no	—
114	C₂×C₄×C₁₃₇	—	4	8	no	—
115	C₂×C₄×C₁₃₇	—	8	8	no	—
116	C₂×C₄×C₁₃₇	C₂×C₄⋊C₄	1	4	yes	—
117	C₂×C₄×C₁₃₇	C₄×D₄	1	2	yes	—
118	C₂×C₄×C₁₃₇	C₄×Q₈	1	4	yes	—
119	C₂×C₄×C₁₃₇	#121	1	2	yes	—
120	C₂×C₄×C₁₃₇	C₂²⋊Q₈	1	4	yes	—
121	C₂×C₄×C₁₃₇	#125	1	4	yes	—
122	C₂×C₄×C₁₃₇	C₄⋊Q₈	1	2	yes	—
123	C₂×C₄×C₁₃₇	C₂³×C₄	1	1	yes	characteristic
124	C₂×C₄×C₁₃₇	C₂²×D₄	1	1	yes	characteristic
125	C₂×C₄×C₁₃₇	C₂²×Q₈	1	1	yes	characteristic
126	C₂×C₄×C₁₃₇	C₂²×Q₈	1	1	yes	characteristic
127	C₂×C₄×C₁₃₇	C₂×#41	1	1	yes	characteristic
128	C₂×C₄×C₁₃₇	C₂×#41	1	1	yes	characteristic
129	C₈×C₁₃₇	—	2	4	no	—
130	C₈×C₁₃₇	C₂×C₄⋊C₄	1	4	yes	—
131	C₈×C₁₃₇	C₂×C₄⋊C₄	1	4	yes	—
132	C₂²×C₁₃₇	—	2	4	no	—
133	C₂²×C₁₃₇	—	2	4	no	—
134	C₂²×C₁₃₇	—	2	2	no	—
135	C₂²×C₁₃₇	—	2	2	no	—
136	C₂²×C₁₃₇	#389	1	4	yes	—
137	C₂²×C₁₃₇	C₂×C₄×D₄	1	1	yes	characteristic
138	C₂²×C₁₃₇	C₂×#121	1	1	yes	characteristic
139	C₂²×C₁₃₇	C₂×C₄⋊Q₈	1	1	yes	characteristic
140	C₂²×C₁₃₇	#576	1	2	yes	—
141	C₂²×C₁₃₇	#578	1	2	yes	—
142	C₄×C₁₃₇	—	4	8	no	—
143	C₄×C₁₃₇	—	4	2	no	—
144	C₄×C₁₃₇	—	4	2	no	—
145	C₄×C₁₃₇	—	8	4	no	—
146	C₄×C₁₃₇	#389	1	4	yes	—
147	C₄×C₁₃₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
148	C₄×C₁₃₇	C₂×C₄×Q₈	1	1	yes	characteristic
149	C₄×C₁₃₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
150	C₄×C₁₃₇	C₂×#125	1	1	yes	characteristic
151	C₂×C₁₃₇	—	2	4	no	—
152	C₂×C₁₃₇	C₂×#389	1	1	yes	characteristic
153	C₂×C₁₃₇	#2951	1	2	yes	—
154	C₂×C₁₃₇	#3058	1	1	yes	characteristic
155	C₂×C₁₃₇	#3059	1	1	yes	characteristic
156	C₂×C₁₃₇	#3164	1	2	yes	—
157	#21156	C₁₃₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
158	C₁₃₇	#21156	1	1	yes	characteristic, direct product factor, Sylow
159	C₂×#427	C₂×C₁₃₇	1	1	yes	characteristic
160	C₂²×#107	C₂×C₁₃₇	1	1	yes	characteristic
161	C₂×#405	C₂×C₁₃₇	1	1	yes	characteristic
162	#2317	C₂×C₁₃₇	1	2	yes	—
163	#1944	C₂×C₁₃₇	1	4	yes	complemented
164	#1942	C₂×C₁₃₇	1	4	yes	complemented
165	#1736	C₂×C₁₃₇	1	2	yes	—
166	C₂²×M₁₆	C₂²×C₁₃₇	1	1	yes	characteristic
167	C₂³×C₈	C₂²×C₁₃₇	1	1	yes	characteristic
168	C₂×#117	C₂²×C₁₃₇	1	2	yes	—
169	C₂×#117	C₂²×C₁₃₇	1	1	yes	characteristic
170	C₂²×C₄⋊C₄	C₂²×C₁₃₇	1	2	yes	—
171	#427	C₄×C₁₃₇	1	8	yes	complemented
172	C₂×#107	—	2	4	no	—
173	C₂×#107	C₂²×C₁₃₇	1	2	yes	—
174	C₂×#107	C₂²×C₁₃₇	1	2	yes	—
175	C₂×#107	C₂²×C₁₃₇	1	2	yes	—
176	C₂×#106	C₂²×C₁₃₇	1	2	yes	—
177	#405	—	2	4	no	—
178	C₂×#97	C₂²×C₁₃₇	1	2	yes	—
179	C₂×C₄×C₈	C₂²×C₁₃₇	1	2	yes	—
180	#389	C₂²×C₁₃₇	1	8	yes	—
181	#385	—	2	4	no	—
182	#384	—	2	2	no	—
183	#382	—	2	2	no	—
184	#340	C₂²×C₁₃₇	1	8	yes	—
185	C₂³×C₄	—	2	2	no	—
186	C₂³×C₄	C₂³×C₁₃₇	1	1	yes	characteristic
187	C₂×M₁₆	—	2	2	no	—
188	C₂×M₁₆	—	2	2	no	—
189	C₂×M₁₆	Q₈×C₁₃₇	1	4	yes	—
190	C₂²×C₈	C₂×C₄×C₁₃₇	1	4	yes	—
191	C₂²×C₈	D₄×C₁₃₇	1	4	yes	—
192	C₂²×C₈	Q₈×C₁₃₇	1	4	yes	—
193	C₂²×C₈	C₂³×C₁₃₇	1	2	yes	—
194	C₂²×C₈	C₂³×C₁₃₇	1	1	yes	characteristic
195	C₂²×C₈	C₂³×C₁₃₇	1	1	yes	characteristic
196	#117	—	2	2	no	—
197	#117	—	2	4	no	—
198	#117	—	2	2	no	—
199	#117	C₂×C₄×C₁₃₇	1	8	yes	—
200	C₂×C₄⋊C₄	—	2	4	no	—
201	C₂×C₄⋊C₄	—	2	4	no	—
202	C₂×C₄⋊C₄	—	2	2	no	—
203	C₂×C₄⋊C₄	—	2	8	no	—
204	C₂×C₄⋊C₄	D₄×C₁₃₇	1	1	yes	characteristic
205	C₂×C₄⋊C₄	D₄×C₁₃₇	1	1	yes	characteristic
206	C₂×C₄⋊C₄	C₂³×C₁₃₇	1	4	yes	—
207	C₂×C₄⋊C₄	C₂³×C₁₃₇	1	4	yes	—
208	C₂×C₂²⋊C₄	—	2	2	no	—
209	C₂×C₂²⋊C₄	D₄×C₁₃₇	1	2	yes	—
210	C₂×C₄²	—	2	2	no	—
211	C₂×C₄²	C₂³×C₁₃₇	1	2	yes	—
212	#107	—	2	4	no	—
213	#107	—	2	4	no	—
214	#107	C₂×C₄×C₁₃₇	1	8	yes	complemented
215	#106	C₂×C₄×C₁₃₇	1	8	yes	complemented
216	#97	—	2	4	no	—
217	C₄×C₈	—	2	4	no	—
218	#95	—	2	8	no	—
219	C₂⁴	C₂×D₄×C₁₃₇	1	1	yes	characteristic
220	C₂²×C₄	—	2	4	no	—
221	C₂²×C₄	—	2	4	no	—
222	C₂²×C₄	—	4	4	no	—
223	C₂²×C₄	—	8	4	no	—
224	C₂²×C₄	C₂²×C₄×C₁₃₇	1	2	yes	—
225	C₂²×C₄	C₂×D₄×C₁₃₇	1	2	yes	—
226	C₂²×C₄	C₂×D₄×C₁₃₇	1	2	yes	—
227	C₂²×C₄	C₂×D₄×C₁₃₇	1	2	yes	—
228	C₂²×C₄	C₂×D₄×C₁₃₇	1	1	yes	characteristic
229	C₂²×C₄	C₂×Q₈×C₁₃₇	1	2	yes	—
230	C₂²×C₄	C₂×Q₈×C₁₃₇	1	2	yes	—
231	C₂²×C₄	#41×C₁₃₇	1	2	yes	—
232	C₂²×C₄	#41×C₁₃₇	1	2	yes	—
233	C₂²×C₄	C₂⁴×C₁₃₇	1	1	yes	characteristic
234	M₁₆	—	2	8	no	—
235	C₂×C₈	—	2	2	no	—
236	C₂×C₈	—	2	2	no	—
237	C₂×C₈	C₄⋊C₄×C₁₃₇	1	16	yes	complemented
238	C₂×C₈	C₂²×C₄×C₁₃₇	1	2	yes	—
239	C₂×C₈	C₂²×C₄×C₁₃₇	1	2	yes	—
240	C₂×C₈	C₂×D₄×C₁₃₇	1	2	yes	—
241	C₂×C₈	C₂×D₄×C₁₃₇	1	2	yes	—
242	C₂×C₈	C₂×Q₈×C₁₃₇	1	4	yes	—
243	C₂×C₈	C₂×Q₈×C₁₃₇	1	2	yes	—
244	C₂×C₈	C₂×Q₈×C₁₃₇	1	2	yes	—
245	C₄⋊C₄	—	2	2	no	—
246	C₄⋊C₄	—	2	2	no	—
247	C₄⋊C₄	—	2	4	no	—
248	C₄⋊C₄	—	2	4	no	—
249	C₄⋊C₄	—	2	4	no	—
250	C₄⋊C₄	—	4	4	no	—
251	C₄⋊C₄	—	8	8	no	—
252	C₄⋊C₄	C₂²×C₄×C₁₃₇	1	8	yes	—
253	C₂²⋊C₄	—	2	8	no	—
254	C₂²⋊C₄	—	2	4	no	—
255	C₄²	—	2	8	no	—
256	C₄²	—	2	2	no	—
257	C₄²	—	2	2	no	—
258	C₂³	—	2	2	no	—
259	C₂³	—	2	2	no	—
260	C₂³	C₄×D₄×C₁₃₇	1	2	yes	—
261	C₂³	#121×C₁₃₇	1	2	yes	—
262	C₂³	C₄⋊Q₈×C₁₃₇	1	2	yes	—
263	C₂³	C₂²×D₄×C₁₃₇	1	1	yes	characteristic
264	C₂×C₄	—	2	8	no	—
265	C₂×C₄	—	2	2	no	—
266	C₂×C₄	—	2	2	no	—
267	C₂×C₄	—	2	4	no	—
268	C₂×C₄	—	2	4	no	—
269	C₂×C₄	—	4	4	no	—
270	C₂×C₄	—	4	4	no	—
271	C₂×C₄	—	4	4	no	—
272	C₂×C₄	—	4	8	no	—
273	C₂×C₄	—	8	8	no	—
274	C₂×C₄	C₂×C₄⋊C₄×C₁₃₇	1	4	yes	—
275	C₂×C₄	C₄×D₄×C₁₃₇	1	2	yes	—
276	C₂×C₄	C₄×Q₈×C₁₃₇	1	4	yes	—
277	C₂×C₄	#121×C₁₃₇	1	2	yes	—
278	C₂×C₄	C₂²⋊Q₈×C₁₃₇	1	4	yes	—
279	C₂×C₄	#125×C₁₃₇	1	4	yes	—
280	C₂×C₄	C₄⋊Q₈×C₁₃₇	1	2	yes	—
281	C₂×C₄	C₂³×C₄×C₁₃₇	1	1	yes	characteristic
282	C₂×C₄	C₂²×D₄×C₁₃₇	1	1	yes	characteristic
283	C₂×C₄	C₂²×Q₈×C₁₃₇	1	1	yes	characteristic
284	C₂×C₄	C₂²×Q₈×C₁₃₇	1	1	yes	characteristic
285	C₂×C₄	C₂×#41×C₁₃₇	1	1	yes	characteristic
286	C₂×C₄	C₂×#41×C₁₃₇	1	1	yes	characteristic
287	C₈	—	2	4	no	—
288	C₈	C₂×C₄⋊C₄×C₁₃₇	1	4	yes	—
289	C₈	C₂×C₄⋊C₄×C₁₃₇	1	4	yes	—
290	C₂²	—	2	2	no	—
291	C₂²	—	2	2	no	—
292	C₂²	—	2	4	no	—
293	C₂²	—	2	4	no	—
294	C₂²	#389×C₁₃₇	1	4	yes	—
295	C₂²	C₂×C₄×D₄×C₁₃₇	1	1	yes	characteristic
296	C₂²	C₂×#121×C₁₃₇	1	1	yes	characteristic
297	C₂²	C₂×C₄⋊Q₈×C₁₃₇	1	1	yes	characteristic
298	C₂²	#576×C₁₃₇	1	2	yes	—
299	C₂²	#578×C₁₃₇	1	2	yes	—
300	C₄	—	4	2	no	—
301	C₄	—	4	2	no	—
302	C₄	—	4	8	no	—
303	C₄	—	8	4	no	—
304	C₄	#389×C₁₃₇	1	4	yes	—
305	C₄	C₂²×C₄⋊C₄×C₁₃₇	1	1	yes	characteristic
306	C₄	C₂×C₄×Q₈×C₁₃₇	1	1	yes	characteristic
307	C₄	C₂×C₂²⋊Q₈×C₁₃₇	1	1	yes	characteristic
308	C₄	C₂×#125×C₁₃₇	1	1	yes	characteristic
309	C₂	—	2	4	no	—
310	C₂	C₂×#389×C₁₃₇	1	1	yes	characteristic
311	C₂	#2951×C₁₃₇	1	2	yes	—
312	C₂	#3058×C₁₃₇	1	1	yes	characteristic
313	C₂	#3059×C₁₃₇	1	1	yes	characteristic
314	C₂	#3164×C₁₃₇	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃₇
prime radical	C₂⁴×C₁₃₇	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₇ ◁ C₂×#117×C₁₃₇ ◁ G

Complements

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

N	H ≅ G/N	type
5. #1944×C₁₃₇	C₂	semidirect
6. #1942×C₁₃₇	C₂	semidirect
13. #427×C₁₃₇	C₄	semidirect
56. #107×C₁₃₇	C₂×C₄	semidirect
57. #106×C₁₃₇	C₂×C₄	semidirect
79. C₂×C₈×C₁₃₇	C₄⋊C₄	semidirect
157. #21156	C₁₃₇	direct (N × H)
158. C₁₃₇	#21156	direct (N × H)
163. #1944	C₂×C₁₃₇	semidirect
164. #1942	C₂×C₁₃₇	semidirect
171. #427	C₄×C₁₃₇	semidirect
214. #107	C₂×C₄×C₁₃₇	semidirect
215. #106	C₂×C₄×C₁₃₇	semidirect
237. C₂×C₈	C₄⋊C₄×C₁₃₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×#427×C₁₃₇	2
C₂²×#107×C₁₃₇	2
C₂×#405×C₁₃₇	2
#2317×C₁₃₇	2
#1944×C₁₃₇	2
#1942×C₁₃₇	2
#1736×C₁₃₇	2
#21156	137

Subgroups — C137×#21156 #46870542

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₇×#21156 #46870542