Subgroups — C₂×C₃₁×#1667 #21475858

Order 7936.

958 conjugacy classes of subgroups.

The subgroup lattice has 350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃₁×#493	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃₁×#459	C₂	1	2	yes	maximal, complemented
3	C₂×C₈×D₄×C₃₁	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃₁×#1667	C₂	1	8	yes	maximal, direct product factor
5	C₂×C₃₁×#335	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₃₁×#331	C₂	1	2	yes	maximal, complemented
7	C₂²×D₈×C₃₁	—	2	2	no	—
8	C₂²×D₈×C₃₁	—	2	1	no	—
9	C₂²×D₈×C₃₁	—	2	1	no	—
10	C₂³×C₈×C₃₁	—	2	1	no	—
11	C₂×C₃₁×#127	C₂²	1	2	yes	—
12	C₂×C₄×D₄×C₃₁	C₂²	1	1	yes	characteristic
13	C₃₁×#493	—	2	2	no	—
14	C₃₁×#493	C₂²	1	4	yes	complemented
15	C₃₁×#459	—	2	4	no	—
16	C₃₁×#459	C₂²	1	8	yes	complemented
17	C₈×D₄×C₃₁	—	2	2	no	—
18	C₈×D₄×C₃₁	C₂²	1	4	yes	complemented
19	C₂×C₃₁×C₄⋊C₈	C₂²	1	2	yes	—
20	C₂×C₃₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
21	C₂×C₃₁×#102	—	2	2	no	—
22	C₂×C₃₁×C₂²⋊C₈	—	2	1	no	—
23	C₂×C₄×C₈×C₃₁	C₂²	1	1	yes	characteristic
24	C₃₁×#335	C₂²	1	4	yes	complemented
25	C₃₁×#331	C₂²	1	8	yes	complemented
26	C₂²×D₄×C₃₁	—	2	2	no	—
27	C₂²×D₄×C₃₁	—	2	2	no	—
28	C₂²×D₄×C₃₁	—	2	2	no	—
29	C₂²×D₄×C₃₁	D₄	1	1	yes	characteristic
30	C₂³×C₄×C₃₁	—	2	1	no	—
31	C₂×D₈×C₃₁	—	2	8	no	—
32	C₂×D₈×C₃₁	—	2	4	no	—
33	C₂×D₈×C₃₁	—	2	4	no	—
34	C₂×D₈×C₃₁	—	4	4	no	—
35	C₂×D₈×C₃₁	—	4	8	no	—
36	C₂×D₈×C₃₁	—	4	4	no	—
37	C₂²×C₈×C₃₁	—	2	1	no	—
38	C₂²×C₈×C₃₁	—	2	2	no	—
39	C₂²×C₈×C₃₁	—	2	4	no	—
40	C₂²×C₈×C₃₁	—	4	4	no	—
41	C₂²×C₈×C₃₁	D₄	1	1	yes	characteristic
42	C₂²×C₈×C₃₁	D₄	1	1	yes	characteristic
43	C₃₁×#127	—	2	2	no	—
44	C₃₁×#127	—	2	2	no	—
45	C₃₁×#127	—	2	2	no	—
46	C₃₁×#127	C₂³	1	4	yes	—
47	C₄×D₄×C₃₁	—	2	1	no	—
48	C₄×D₄×C₃₁	—	2	1	no	—
49	C₄×D₄×C₃₁	D₄	1	2	yes	—
50	C₄×D₄×C₃₁	C₂³	1	2	yes	—
51	C₂×C₄⋊C₄×C₃₁	D₄	1	1	yes	characteristic
52	C₂×C₂²⋊C₄×C₃₁	—	2	1	no	—
53	C₂×C₄²×C₃₁	C₂³	1	1	yes	characteristic
54	C₃₁×C₄⋊C₈	—	2	1	no	—
55	C₃₁×C₄⋊C₈	—	2	2	no	—
56	C₃₁×C₄⋊C₈	C₂³	1	2	yes	—
57	C₃₁×C₄⋊C₈	C₂³	1	4	yes	—
58	C₃₁×#102	—	2	8	no	—
59	C₃₁×C₂²⋊C₈	—	2	4	no	—
60	C₄×C₈×C₃₁	D₄	1	2	yes	—
61	C₄×C₈×C₃₁	C₂³	1	2	yes	—
62	C₂⁴×C₃₁	—	2	1	no	—
63	C₂⁴×C₃₁	—	4	2	no	—
64	C₂×D₄×C₃₁	—	2	1	no	—
65	C₂×D₄×C₃₁	—	2	2	no	—
66	C₂×D₄×C₃₁	—	2	4	no	—
67	C₂×D₄×C₃₁	—	2	4	no	—
68	C₂×D₄×C₃₁	—	2	4	no	—
69	C₂×D₄×C₃₁	—	4	2	no	—
70	C₂×D₄×C₃₁	—	4	2	no	—
71	C₂×D₄×C₃₁	—	4	2	no	—
72	C₂×D₄×C₃₁	—	4	4	no	—
73	C₂×D₄×C₃₁	—	4	4	no	—
74	C₂×D₄×C₃₁	—	4	4	no	—
75	C₂×D₄×C₃₁	—	4	4	no	—
76	C₂×D₄×C₃₁	—	8	4	no	—
77	C₂×D₄×C₃₁	D₈	1	4	yes	complemented
78	C₂×D₄×C₃₁	C₂×D₄	1	2	yes	—
79	C₂²×C₄×C₃₁	—	2	1	no	—
80	C₂²×C₄×C₃₁	—	2	2	no	—
81	C₂²×C₄×C₃₁	—	2	2	no	—
82	C₂²×C₄×C₃₁	—	4	2	no	—
83	C₂²×C₄×C₃₁	—	4	2	no	—
84	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₃₁	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₃₁	#41	1	1	yes	characteristic
87	D₈×C₃₁	—	4	8	no	—
88	D₈×C₃₁	—	4	16	no	—
89	D₈×C₃₁	—	4	8	no	—
90	C₂×C₈×C₃₁	—	2	2	no	—
91	C₂×C₈×C₃₁	—	2	2	no	—
92	C₂×C₈×C₃₁	—	2	4	no	—
93	C₂×C₈×C₃₁	—	4	2	no	—
94	C₂×C₈×C₃₁	—	4	4	no	—
95	C₂×C₈×C₃₁	—	4	8	no	—
96	C₂×C₈×C₃₁	D₈	1	4	yes	complemented
97	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
98	C₂×C₈×C₃₁	C₂×D₄	1	2	yes	—
99	C₄⋊C₄×C₃₁	—	2	1	no	—
100	C₄⋊C₄×C₃₁	C₂×D₄	1	2	yes	—
101	C₂²⋊C₄×C₃₁	—	2	2	no	—
102	C₂²⋊C₄×C₃₁	—	2	2	no	—
103	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
104	C₄²×C₃₁	C₂×D₄	1	1	yes	characteristic
105	C₄²×C₃₁	#41	1	1	yes	characteristic
106	C₄²×C₃₁	C₂⁴	1	1	yes	characteristic
107	C₂×#1667	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
108	C₂³×C₃₁	—	2	2	no	—
109	C₂³×C₃₁	—	2	4	no	—
110	C₂³×C₃₁	—	4	2	no	—
111	C₂³×C₃₁	—	4	2	no	—
112	C₂³×C₃₁	—	4	4	no	—
113	C₂³×C₃₁	—	8	4	no	—
114	C₂³×C₃₁	—	8	4	no	—
115	C₂³×C₃₁	—	8	4	no	—
116	C₂³×C₃₁	#121	1	1	yes	characteristic
117	D₄×C₃₁	—	2	2	no	—
118	D₄×C₃₁	—	2	4	no	—
119	D₄×C₃₁	—	4	4	no	—
120	D₄×C₃₁	—	4	4	no	—
121	D₄×C₃₁	—	4	4	no	—
122	D₄×C₃₁	—	4	4	no	—
123	D₄×C₃₁	—	8	4	no	—
124	D₄×C₃₁	—	8	4	no	—
125	D₄×C₃₁	—	8	4	no	—
126	D₄×C₃₁	—	8	4	no	—
127	D₄×C₃₁	C₂×D₈	1	4	yes	complemented
128	C₂×C₄×C₃₁	—	2	2	no	—
129	C₂×C₄×C₃₁	—	2	2	no	—
130	C₂×C₄×C₃₁	—	4	2	no	—
131	C₂×C₄×C₃₁	—	4	2	no	—
132	C₂×C₄×C₃₁	—	4	2	no	—
133	C₂×C₄×C₃₁	—	4	4	no	—
134	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
135	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
136	C₂×C₄×C₃₁	#121	1	1	yes	characteristic
137	C₂×C₄×C₃₁	C₂×D₈	1	2	yes	—
138	C₂×C₄×C₃₁	C₂×D₈	1	2	yes	—
139	C₂×C₄×C₃₁	#135	1	2	yes	—
140	C₂×C₄×C₃₁	AGL(1,ℤ/8)	1	2	yes	—
141	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
142	C₂×C₄×C₃₁	C₂²×D₄	1	1	yes	characteristic
143	C₂×C₄×C₃₁	C₂×#41	1	1	yes	characteristic
144	C₈×C₃₁	—	2	2	no	—
145	C₈×C₃₁	—	4	2	no	—
146	C₈×C₃₁	—	4	4	no	—
147	C₈×C₃₁	C₂×D₈	1	4	yes	complemented
148	C₂×#493	C₂×C₃₁	1	1	yes	characteristic, complemented
149	C₂×#459	C₂×C₃₁	1	2	yes	complemented
150	C₂×C₈×D₄	C₂×C₃₁	1	1	yes	characteristic, complemented
151	#1667	C₂×C₃₁	1	8	yes	direct product factor
152	C₂×#335	C₂×C₃₁	1	1	yes	characteristic, complemented
153	C₂×#331	C₂×C₃₁	1	2	yes	complemented
154	C₂²×C₃₁	—	2	4	no	—
155	C₂²×C₃₁	—	4	8	no	—
156	C₂²×C₃₁	—	4	2	no	—
157	C₂²×C₃₁	—	4	2	no	—
158	C₂²×C₃₁	—	8	4	no	—
159	C₂²×C₃₁	—	8	4	no	—
160	C₂²×C₃₁	—	8	4	no	—
161	C₂²×C₃₁	—	16	8	no	—
162	C₂²×C₃₁	#459	1	2	yes	—
163	C₂²×C₃₁	#466	1	2	yes	—
164	C₂²×C₃₁	#472	1	2	yes	—
165	C₂²×C₃₁	C₂×#121	1	1	yes	characteristic
166	C₄×C₃₁	—	2	1	no	—
167	C₄×C₃₁	—	2	1	no	—
168	C₄×C₃₁	—	4	2	no	—
169	C₄×C₃₁	#459	1	2	yes	—
170	C₄×C₃₁	#466	1	2	yes	—
171	C₄×C₃₁	C₂²×D₈	1	1	yes	characteristic
172	C₄×C₃₁	C₂²×D₈	1	1	yes	characteristic
173	C₄×C₃₁	C₂×#135	1	1	yes	characteristic
174	C₄×C₃₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
175	C₂²×D₈	—	2	2	no	—
176	C₂²×D₈	—	2	1	no	—
177	C₂²×D₈	—	2	1	no	—
178	C₂³×C₈	—	2	1	no	—
179	C₂×#127	C₂²×C₃₁	1	2	yes	—
180	C₂×C₄×D₄	C₂²×C₃₁	1	1	yes	characteristic
181	#493	—	2	2	no	—
182	#493	C₂²×C₃₁	1	4	yes	complemented
183	#459	—	2	4	no	—
184	#459	C₂²×C₃₁	1	8	yes	complemented
185	C₈×D₄	—	2	2	no	—
186	C₈×D₄	C₂²×C₃₁	1	4	yes	complemented
187	C₂×C₄⋊C₈	C₂²×C₃₁	1	1	yes	characteristic
188	C₂×C₄⋊C₈	C₂²×C₃₁	1	2	yes	—
189	C₂×#102	—	2	2	no	—
190	C₂×C₂²⋊C₈	—	2	1	no	—
191	C₂×C₄×C₈	C₂²×C₃₁	1	1	yes	characteristic
192	#335	C₂²×C₃₁	1	4	yes	complemented
193	#331	C₂²×C₃₁	1	8	yes	complemented
194	C₂×C₃₁	—	4	4	no	—
195	C₂×C₃₁	—	16	4	no	—
196	C₂×C₃₁	#1667	1	4	yes	direct product factor
197	C₂×C₃₁	C₂×#459	1	1	yes	characteristic
198	C₂×C₃₁	C₂×#466	1	1	yes	characteristic
199	C₂×C₃₁	C₂×#472	1	1	yes	characteristic
200	C₂²×D₄	—	2	2	no	—
201	C₂²×D₄	—	2	2	no	—
202	C₂²×D₄	—	2	2	no	—
203	C₂²×D₄	D₄×C₃₁	1	1	yes	characteristic
204	C₂³×C₄	—	2	1	no	—
205	C₂×D₈	—	2	8	no	—
206	C₂×D₈	—	2	4	no	—
207	C₂×D₈	—	2	4	no	—
208	C₂×D₈	—	4	4	no	—
209	C₂×D₈	—	4	8	no	—
210	C₂×D₈	—	4	4	no	—
211	C₂²×C₈	—	2	1	no	—
212	C₂²×C₈	—	2	2	no	—
213	C₂²×C₈	—	2	4	no	—
214	C₂²×C₈	—	4	4	no	—
215	C₂²×C₈	D₄×C₃₁	1	1	yes	characteristic
216	C₂²×C₈	D₄×C₃₁	1	1	yes	characteristic
217	#127	—	2	2	no	—
218	#127	—	2	2	no	—
219	#127	—	2	2	no	—
220	#127	C₂³×C₃₁	1	4	yes	—
221	C₄×D₄	—	2	1	no	—
222	C₄×D₄	—	2	1	no	—
223	C₄×D₄	D₄×C₃₁	1	2	yes	—
224	C₄×D₄	C₂³×C₃₁	1	2	yes	—
225	C₂×C₄⋊C₄	D₄×C₃₁	1	1	yes	characteristic
226	C₂×C₂²⋊C₄	—	2	1	no	—
227	C₂×C₄²	C₂³×C₃₁	1	1	yes	characteristic
228	C₄⋊C₈	—	2	1	no	—
229	C₄⋊C₈	—	2	2	no	—
230	C₄⋊C₈	C₂³×C₃₁	1	2	yes	—
231	C₄⋊C₈	C₂³×C₃₁	1	4	yes	—
232	#102	—	2	8	no	—
233	C₂²⋊C₈	—	2	4	no	—
234	C₄×C₈	D₄×C₃₁	1	2	yes	—
235	C₄×C₈	C₂³×C₃₁	1	2	yes	—
236	C₃₁	C₂×#1667	1	1	yes	characteristic, direct product factor, Sylow
237	C₂⁴	—	2	1	no	—
238	C₂⁴	—	4	2	no	—
239	C₂×D₄	—	2	1	no	—
240	C₂×D₄	—	2	2	no	—
241	C₂×D₄	—	2	4	no	—
242	C₂×D₄	—	2	4	no	—
243	C₂×D₄	—	2	4	no	—
244	C₂×D₄	—	4	2	no	—
245	C₂×D₄	—	4	2	no	—
246	C₂×D₄	—	4	2	no	—
247	C₂×D₄	—	4	4	no	—
248	C₂×D₄	—	4	4	no	—
249	C₂×D₄	—	4	4	no	—
250	C₂×D₄	—	4	4	no	—
251	C₂×D₄	—	8	4	no	—
252	C₂×D₄	D₈×C₃₁	1	4	yes	complemented
253	C₂×D₄	C₂×D₄×C₃₁	1	2	yes	—
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	—	2	2	no	—
257	C₂²×C₄	—	4	2	no	—
258	C₂²×C₄	—	4	2	no	—
259	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
260	C₂²×C₄	C₂×D₄×C₃₁	1	1	yes	characteristic
261	C₂²×C₄	#41×C₃₁	1	1	yes	characteristic
262	D₈	—	4	8	no	—
263	D₈	—	4	16	no	—
264	D₈	—	4	8	no	—
265	C₂×C₈	—	2	2	no	—
266	C₂×C₈	—	2	2	no	—
267	C₂×C₈	—	2	4	no	—
268	C₂×C₈	—	4	2	no	—
269	C₂×C₈	—	4	4	no	—
270	C₂×C₈	—	4	8	no	—
271	C₂×C₈	D₈×C₃₁	1	4	yes	complemented
272	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
273	C₂×C₈	C₂×D₄×C₃₁	1	2	yes	—
274	C₄⋊C₄	—	2	1	no	—
275	C₄⋊C₄	C₂×D₄×C₃₁	1	2	yes	—
276	C₂²⋊C₄	—	2	2	no	—
277	C₂²⋊C₄	—	2	2	no	—
278	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
279	C₄²	C₂×D₄×C₃₁	1	1	yes	characteristic
280	C₄²	#41×C₃₁	1	1	yes	characteristic
281	C₄²	C₂⁴×C₃₁	1	1	yes	characteristic
282	C₂³	—	2	4	no	—
283	C₂³	—	2	2	no	—
284	C₂³	—	4	2	no	—
285	C₂³	—	4	2	no	—
286	C₂³	—	4	4	no	—
287	C₂³	—	8	4	no	—
288	C₂³	—	8	4	no	—
289	C₂³	—	8	4	no	—
290	C₂³	C₃₁×#121	1	1	yes	characteristic
291	D₄	—	2	4	no	—
292	D₄	—	2	2	no	—
293	D₄	—	4	4	no	—
294	D₄	—	4	4	no	—
295	D₄	—	4	4	no	—
296	D₄	—	4	4	no	—
297	D₄	—	8	4	no	—
298	D₄	—	8	4	no	—
299	D₄	—	8	4	no	—
300	D₄	—	8	4	no	—
301	D₄	C₂×D₈×C₃₁	1	4	yes	complemented
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	4	2	no	—
307	C₂×C₄	—	4	2	no	—
308	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
309	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
310	C₂×C₄	C₃₁×#121	1	1	yes	characteristic
311	C₂×C₄	C₂×D₈×C₃₁	1	2	yes	—
312	C₂×C₄	C₂×D₈×C₃₁	1	2	yes	—
313	C₂×C₄	C₃₁×#135	1	2	yes	—
314	C₂×C₄	C₃₁×AGL(1,ℤ/8)	1	2	yes	—
315	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
316	C₂×C₄	C₂²×D₄×C₃₁	1	1	yes	characteristic
317	C₂×C₄	C₂×#41×C₃₁	1	1	yes	characteristic
318	C₈	—	2	2	no	—
319	C₈	—	4	2	no	—
320	C₈	—	4	4	no	—
321	C₈	C₂×D₈×C₃₁	1	4	yes	complemented
322	C₂²	—	2	4	no	—
323	C₂²	—	4	8	no	—
324	C₂²	—	4	2	no	—
325	C₂²	—	4	2	no	—
326	C₂²	—	8	4	no	—
327	C₂²	—	8	4	no	—
328	C₂²	—	8	4	no	—
329	C₂²	—	16	8	no	—
330	C₂²	C₃₁×#459	1	2	yes	—
331	C₂²	C₃₁×#466	1	2	yes	—
332	C₂²	C₃₁×#472	1	2	yes	—
333	C₂²	C₂×C₃₁×#121	1	1	yes	characteristic
334	C₄	—	2	1	no	—
335	C₄	—	2	1	no	—
336	C₄	—	4	2	no	—
337	C₄	C₃₁×#459	1	2	yes	—
338	C₄	C₃₁×#466	1	2	yes	—
339	C₄	C₂²×D₈×C₃₁	1	1	yes	characteristic
340	C₄	C₂²×D₈×C₃₁	1	1	yes	characteristic
341	C₄	C₂×C₃₁×#135	1	1	yes	characteristic
342	C₄	C₂×C₃₁×AGL(1,ℤ/8)	1	1	yes	characteristic
343	C₂	—	4	4	no	—
344	C₂	—	16	4	no	—
345	C₂	C₃₁×#1667	1	4	yes	direct product factor
346	C₂	C₂×C₃₁×#459	1	1	yes	characteristic
347	C₂	C₂×C₃₁×#466	1	1	yes	characteristic
348	C₂	C₂×C₃₁×#472	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃₁	#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₃₁
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₃₁ ◁ C₂×C₄²×C₃₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃₁×#493	C₂	semidirect
2. C₂×C₃₁×#459	C₂	semidirect
3. C₂×C₈×D₄×C₃₁	C₂	semidirect
4. C₃₁×#1667	C₂	direct (N × H)
5. C₂×C₃₁×#335	C₂	semidirect
6. C₂×C₃₁×#331	C₂	semidirect
14. C₃₁×#493	C₂²	semidirect
16. C₃₁×#459	C₂²	semidirect
18. C₈×D₄×C₃₁	C₂²	semidirect
24. C₃₁×#335	C₂²	semidirect
25. C₃₁×#331	C₂²	semidirect
77. C₂×D₄×C₃₁	D₈	semidirect
96. C₂×C₈×C₃₁	D₈	semidirect
107. C₂×#1667	C₃₁	direct (N × H)
127. D₄×C₃₁	C₂×D₈	semidirect
147. C₈×C₃₁	C₂×D₈	semidirect
148. C₂×#493	C₂×C₃₁	semidirect
149. C₂×#459	C₂×C₃₁	semidirect
150. C₂×C₈×D₄	C₂×C₃₁	semidirect
151. #1667	C₂×C₃₁	direct (N × H)
152. C₂×#335	C₂×C₃₁	semidirect
153. C₂×#331	C₂×C₃₁	semidirect
182. #493	C₂²×C₃₁	semidirect
184. #459	C₂²×C₃₁	semidirect
186. C₈×D₄	C₂²×C₃₁	semidirect
192. #335	C₂²×C₃₁	semidirect
193. #331	C₂²×C₃₁	semidirect
196. C₂×C₃₁	#1667	direct (N × H)
236. C₃₁	C₂×#1667	direct (N × H)
252. C₂×D₄	D₈×C₃₁	semidirect
271. C₂×C₈	D₈×C₃₁	semidirect
301. D₄	C₂×D₈×C₃₁	semidirect
321. C₈	C₂×D₈×C₃₁	semidirect
345. C₂	C₃₁×#1667	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃₁×#493	2
C₂×C₃₁×#459	2
C₂×C₈×D₄×C₃₁	2
C₃₁×#1667	2
C₂×C₃₁×#335	2
C₂×C₃₁×#331	2
C₂×#1667	31

Subgroups — C2×C31×#1667 #21475858

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃₁×#1667 #21475858