Subgroups — C₁₂₇×#21811 #44585484

Order 32512.

1302 conjugacy classes of subgroups.

The subgroup lattice has 326 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄⋊Q₈×C₁₂₇	C₂	1	1	yes	maximal, characteristic
2	C₂×#432×C₁₂₇	C₂	1	1	yes	maximal, characteristic
3	C₁₂₇×#2283	C₂	1	1	yes	maximal, characteristic
4	C₁₂₇×#1981	C₂	1	4	yes	maximal, complemented
5	C₁₂₇×#1960	C₂	1	4	yes	maximal, complemented
6	C₁₂₇×#1787	C₂	1	4	yes	maximal
7	C₂³×Q₈×C₁₂₇	C₂²	1	2	yes	—
8	C₂×C₄⋊Q₈×C₁₂₇	—	2	1	no	—
9	C₂×C₄⋊Q₈×C₁₂₇	—	2	1	no	—
10	C₂×C₄⋊Q₈×C₁₂₇	—	2	4	no	—
11	C₂×C₄⋊Q₈×C₁₂₇	C₄	1	8	yes	complemented
12	C₂×C₄⋊Q₈×C₁₂₇	C₂²	1	2	yes	—
13	C₂×C₄⋊Q₈×C₁₂₇	C₂²	1	2	yes	—
14	C₂²×C₄⋊C₄×C₁₂₇	—	2	1	no	—
15	C₂²×C₄⋊C₄×C₁₂₇	—	2	1	no	—
16	C₂²×C₄²×C₁₂₇	C₂²	1	1	yes	characteristic
17	#432×C₁₂₇	—	2	4	no	—
18	C₂×C₄⋊C₈×C₁₂₇	C₂²	1	2	yes	—
19	C₂×#103×C₁₂₇	C₂²	1	16	yes	—
20	C₂×C₂²⋊C₈×C₁₂₇	C₂²	1	2	yes	—
21	C₂×#97×C₁₂₇	C₂²	1	2	yes	—
22	#383×C₁₂₇	—	2	1	no	—
23	#382×C₁₂₇	C₂²	1	2	yes	—
24	#381×C₁₂₇	—	2	1	no	—
25	#380×C₁₂₇	C₂²	1	2	yes	—
26	C₄×C₄⋊C₄×C₁₂₇	C₂²	1	2	yes	—
27	C₄×C₂²⋊C₄×C₁₂₇	—	2	1	no	—
28	#376×C₁₂₇	—	2	1	no	—
29	C₂²×Q₈×C₁₂₇	—	2	4	no	—
30	C₂²×Q₈×C₁₂₇	—	2	2	no	—
31	C₂²×Q₈×C₁₂₇	—	4	8	no	—
32	C₂²×Q₈×C₁₂₇	C₂×C₄	1	8	yes	—
33	C₂²×Q₈×C₁₂₇	C₂³	1	4	yes	—
34	C₂³×C₄×C₁₂₇	—	2	2	no	—
35	C₂³×C₄×C₁₂₇	D₄	1	1	yes	characteristic
36	C₂³×C₄×C₁₂₇	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₁₂₇	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₁₂₇	C₂³	1	4	yes	—
39	C₄⋊Q₈×C₁₂₇	—	2	8	no	—
40	C₄⋊Q₈×C₁₂₇	—	2	8	no	—
41	C₄⋊Q₈×C₁₂₇	—	2	4	no	—
42	C₄⋊Q₈×C₁₂₇	—	2	4	no	—
43	C₄⋊Q₈×C₁₂₇	C₂×C₄	1	8	yes	—
44	C₄⋊Q₈×C₁₂₇	C₂×C₄	1	8	yes	—
45	C₂×C₄⋊C₄×C₁₂₇	—	2	8	no	—
46	C₂×C₄⋊C₄×C₁₂₇	—	2	8	no	—
47	C₂×C₄⋊C₄×C₁₂₇	—	2	2	no	—
48	C₂×C₄⋊C₄×C₁₂₇	—	2	2	no	—
49	C₂×C₄⋊C₄×C₁₂₇	—	2	2	no	—
50	C₂×C₄⋊C₄×C₁₂₇	—	2	2	no	—
51	C₂×C₄⋊C₄×C₁₂₇	C₂³	1	4	yes	—
52	C₂×C₂²⋊C₄×C₁₂₇	—	2	2	no	—
53	C₂×C₄²×C₁₂₇	—	2	2	no	—
54	C₂×C₄²×C₁₂₇	C₂×C₄	1	4	yes	—
55	C₂×C₄²×C₁₂₇	D₄	1	1	yes	characteristic
56	C₂×C₄²×C₁₂₇	D₄	1	1	yes	characteristic
57	C₂×C₄²×C₁₂₇	D₄	1	4	yes	—
58	C₂×C₄²×C₁₂₇	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₁₂₇	C₂³	1	1	yes	characteristic
60	C₄⋊C₈×C₁₂₇	—	2	4	no	—
61	#103×C₁₂₇	—	4	16	no	—
62	C₂²⋊C₈×C₁₂₇	—	2	4	no	—
63	#97×C₁₂₇	—	2	4	no	—
64	#95×C₁₂₇	—	2	2	no	—
65	#95×C₁₂₇	—	2	2	no	—
66	#95×C₁₂₇	—	2	2	no	—
67	#95×C₁₂₇	—	2	2	no	—
68	C₂⁴×C₁₂₇	C₂×D₄	1	1	yes	characteristic
69	C₂×Q₈×C₁₂₇	—	2	8	no	—
70	C₂×Q₈×C₁₂₇	—	2	4	no	—
71	C₂×Q₈×C₁₂₇	—	2	16	no	—
72	C₂×Q₈×C₁₂₇	—	4	16	no	—
73	C₂×Q₈×C₁₂₇	—	4	8	no	—
74	C₂×Q₈×C₁₂₇	—	4	16	no	—
75	C₂×Q₈×C₁₂₇	C₂²×C₄	1	8	yes	—
76	C₂²×C₄×C₁₂₇	—	2	4	no	—
77	C₂²×C₄×C₁₂₇	—	2	4	no	—
78	C₂²×C₄×C₁₂₇	—	2	4	no	—
79	C₂²×C₄×C₁₂₇	—	2	8	no	—
80	C₂²×C₄×C₁₂₇	—	2	4	no	—
81	C₂²×C₄×C₁₂₇	—	2	4	no	—
82	C₂²×C₄×C₁₂₇	—	4	8	no	—
83	C₂²×C₄×C₁₂₇	C₂²⋊C₄	1	4	yes	—
84	C₂²×C₄×C₁₂₇	C₂²⋊C₄	1	4	yes	—
85	C₂²×C₄×C₁₂₇	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₁₂₇	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₂₇	C₂×D₄	1	1	yes	characteristic
88	C₂²×C₄×C₁₂₇	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₂₇	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₂₇	C₂×D₄	1	2	yes	—
91	C₂²×C₄×C₁₂₇	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₄×C₁₂₇	C₂⁴	1	1	yes	characteristic
93	C₂×C₈×C₁₂₇	—	2	4	no	—
94	C₂×C₈×C₁₂₇	—	2	8	no	—
95	C₄⋊C₄×C₁₂₇	—	2	8	no	—
96	C₄⋊C₄×C₁₂₇	—	2	8	no	—
97	C₄⋊C₄×C₁₂₇	—	2	8	no	—
98	C₄⋊C₄×C₁₂₇	—	2	8	no	—
99	C₄⋊C₄×C₁₂₇	—	2	8	no	—
100	C₂²⋊C₄×C₁₂₇	—	4	4	no	—
101	C₄²×C₁₂₇	—	4	4	no	—
102	C₄²×C₁₂₇	C₂²⋊C₄	1	4	yes	—
103	C₄²×C₁₂₇	C₂²⋊C₄	1	4	yes	—
104	C₄²×C₁₂₇	C₂²×C₄	1	2	yes	—
105	C₄²×C₁₂₇	C₂²×C₄	1	2	yes	—
106	C₄²×C₁₂₇	C₂×D₄	1	2	yes	—
107	C₄²×C₁₂₇	C₂×D₄	1	2	yes	—
108	C₂³×C₁₂₇	—	2	2	no	—
109	C₂³×C₁₂₇	—	2	2	no	—
110	C₂³×C₁₂₇	C₂×C₂²⋊C₄	1	2	yes	—
111	C₂³×C₁₂₇	#137	1	4	yes	—
112	C₂³×C₁₂₇	C₂²×D₄	1	1	yes	characteristic
113	Q₈×C₁₂₇	—	2	16	no	—
114	Q₈×C₁₂₇	—	4	16	no	—
115	Q₈×C₁₂₇	—	4	8	no	—
116	C₂×C₄×C₁₂₇	—	2	2	no	—
117	C₂×C₄×C₁₂₇	—	2	2	no	—
118	C₂×C₄×C₁₂₇	—	2	2	no	—
119	C₂×C₄×C₁₂₇	—	2	2	no	—
120	C₂×C₄×C₁₂₇	—	2	8	no	—
121	C₂×C₄×C₁₂₇	—	2	4	no	—
122	C₂×C₄×C₁₂₇	—	2	4	no	—
123	C₂×C₄×C₁₂₇	—	2	8	no	—
124	C₂×C₄×C₁₂₇	—	2	8	no	—
125	C₂×C₄×C₁₂₇	—	4	16	no	—
126	C₂×C₄×C₁₂₇	—	4	8	no	—
127	C₂×C₄×C₁₂₇	—	4	4	no	—
128	C₂×C₄×C₁₂₇	—	4	4	no	—
129	C₂×C₄×C₁₂₇	—	4	4	no	—
130	C₂×C₄×C₁₂₇	C₂×C₂²⋊C₄	1	2	yes	—
131	C₂×C₄×C₁₂₇	C₂×C₂²⋊C₄	1	2	yes	—
132	C₂×C₄×C₁₂₇	C₂×C₂²⋊C₄	1	2	yes	—
133	C₂×C₄×C₁₂₇	C₂×C₂²⋊C₄	1	2	yes	—
134	C₂×C₄×C₁₂₇	C₂×C₂²⋊C₄	1	2	yes	—
135	C₂×C₄×C₁₂₇	#137	1	4	yes	—
136	C₂×C₄×C₁₂₇	C₂³×C₄	1	1	yes	characteristic
137	C₂×C₄×C₁₂₇	C₂²×D₄	1	1	yes	characteristic
138	C₂×C₄×C₁₂₇	H(5,𝔽₂)	1	4	yes	—
139	C₈×C₁₂₇	—	4	4	no	—
140	C₂²×C₁₂₇	—	2	2	no	—
141	C₂²×C₁₂₇	—	2	2	no	—
142	C₂²×C₁₂₇	—	2	8	no	—
143	C₂²×C₁₂₇	#419	1	4	yes	—
144	C₂²×C₁₂₇	C₂²×C₂²⋊C₄	1	1	yes	characteristic
145	C₂²×C₁₂₇	#535	1	2	yes	—
146	C₂²×C₁₂₇	C₂×#137	1	2	yes	—
147	C₂²×C₁₂₇	C₂×#137	1	2	yes	—
148	C₄×C₁₂₇	—	2	2	no	—
149	C₄×C₁₂₇	—	2	2	no	—
150	C₄×C₁₂₇	—	2	2	no	—
151	C₄×C₁₂₇	—	2	2	no	—
152	C₄×C₁₂₇	—	4	8	no	—
153	C₄×C₁₂₇	—	8	4	no	—
154	C₄×C₁₂₇	#419	1	4	yes	—
155	C₄×C₁₂₇	#518	1	2	yes	—
156	C₄×C₁₂₇	#535	1	2	yes	—
157	#21811	C₁₂₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
158	C₂×C₁₂₇	—	2	4	no	—
159	C₂×C₁₂₇	#2309	1	1	yes	characteristic
160	C₂×C₁₂₇	C₂×#419	1	1	yes	characteristic
161	C₂×C₁₂₇	C₂×#419	1	1	yes	characteristic
162	C₂×C₁₂₇	#3218	1	4	yes	—
163	C₂²×C₄⋊Q₈	C₂×C₁₂₇	1	1	yes	characteristic
164	C₂×#432	C₂×C₁₂₇	1	1	yes	characteristic
165	#2283	C₂×C₁₂₇	1	1	yes	characteristic
166	#1981	C₂×C₁₂₇	1	4	yes	complemented
167	#1960	C₂×C₁₂₇	1	4	yes	complemented
168	#1787	C₂×C₁₂₇	1	4	yes	—
169	C₁₂₇	#21811	1	1	yes	characteristic, direct product factor, Sylow
170	C₂³×Q₈	C₂²×C₁₂₇	1	2	yes	—
171	C₂×C₄⋊Q₈	—	2	1	no	—
172	C₂×C₄⋊Q₈	—	2	1	no	—
173	C₂×C₄⋊Q₈	—	2	4	no	—
174	C₂×C₄⋊Q₈	C₄×C₁₂₇	1	8	yes	complemented
175	C₂×C₄⋊Q₈	C₂²×C₁₂₇	1	2	yes	—
176	C₂×C₄⋊Q₈	C₂²×C₁₂₇	1	2	yes	—
177	C₂²×C₄⋊C₄	—	2	1	no	—
178	C₂²×C₄⋊C₄	—	2	1	no	—
179	C₂²×C₄²	C₂²×C₁₂₇	1	1	yes	characteristic
180	#432	—	2	4	no	—
181	C₂×C₄⋊C₈	C₂²×C₁₂₇	1	2	yes	—
182	C₂×#103	C₂²×C₁₂₇	1	16	yes	—
183	C₂×C₂²⋊C₈	C₂²×C₁₂₇	1	2	yes	—
184	C₂×#97	C₂²×C₁₂₇	1	2	yes	—
185	#383	—	2	1	no	—
186	#382	C₂²×C₁₂₇	1	2	yes	—
187	#381	—	2	1	no	—
188	#380	C₂²×C₁₂₇	1	2	yes	—
189	C₄×C₄⋊C₄	C₂²×C₁₂₇	1	2	yes	—
190	C₄×C₂²⋊C₄	—	2	1	no	—
191	#376	—	2	1	no	—
192	C₂²×Q₈	—	2	4	no	—
193	C₂²×Q₈	—	2	2	no	—
194	C₂²×Q₈	—	4	8	no	—
195	C₂²×Q₈	C₂×C₄×C₁₂₇	1	8	yes	—
196	C₂²×Q₈	C₂³×C₁₂₇	1	4	yes	—
197	C₂³×C₄	—	2	2	no	—
198	C₂³×C₄	D₄×C₁₂₇	1	1	yes	characteristic
199	C₂³×C₄	D₄×C₁₂₇	1	1	yes	characteristic
200	C₂³×C₄	C₂³×C₁₂₇	1	1	yes	characteristic
201	C₂²×C₈	C₂³×C₁₂₇	1	4	yes	—
202	C₄⋊Q₈	—	2	8	no	—
203	C₄⋊Q₈	—	2	8	no	—
204	C₄⋊Q₈	—	2	4	no	—
205	C₄⋊Q₈	—	2	4	no	—
206	C₄⋊Q₈	C₂×C₄×C₁₂₇	1	8	yes	—
207	C₄⋊Q₈	C₂×C₄×C₁₂₇	1	8	yes	—
208	C₂×C₄⋊C₄	—	2	8	no	—
209	C₂×C₄⋊C₄	—	2	8	no	—
210	C₂×C₄⋊C₄	—	2	2	no	—
211	C₂×C₄⋊C₄	—	2	2	no	—
212	C₂×C₄⋊C₄	—	2	2	no	—
213	C₂×C₄⋊C₄	—	2	2	no	—
214	C₂×C₄⋊C₄	C₂³×C₁₂₇	1	4	yes	—
215	C₂×C₂²⋊C₄	—	2	2	no	—
216	C₂×C₄²	—	2	2	no	—
217	C₂×C₄²	C₂×C₄×C₁₂₇	1	4	yes	—
218	C₂×C₄²	D₄×C₁₂₇	1	1	yes	characteristic
219	C₂×C₄²	D₄×C₁₂₇	1	1	yes	characteristic
220	C₂×C₄²	D₄×C₁₂₇	1	4	yes	—
221	C₂×C₄²	C₂³×C₁₂₇	1	1	yes	characteristic
222	C₂×C₄²	C₂³×C₁₂₇	1	1	yes	characteristic
223	C₄⋊C₈	—	2	4	no	—
224	#103	—	4	16	no	—
225	C₂²⋊C₈	—	2	4	no	—
226	#97	—	2	4	no	—
227	#95	—	2	2	no	—
228	#95	—	2	2	no	—
229	#95	—	2	2	no	—
230	#95	—	2	2	no	—
231	C₂⁴	C₂×D₄×C₁₂₇	1	1	yes	characteristic
232	C₂×Q₈	—	2	8	no	—
233	C₂×Q₈	—	2	4	no	—
234	C₂×Q₈	—	2	16	no	—
235	C₂×Q₈	—	4	16	no	—
236	C₂×Q₈	—	4	8	no	—
237	C₂×Q₈	—	4	16	no	—
238	C₂×Q₈	C₂²×C₄×C₁₂₇	1	8	yes	—
239	C₂²×C₄	—	2	4	no	—
240	C₂²×C₄	—	2	4	no	—
241	C₂²×C₄	—	2	4	no	—
242	C₂²×C₄	—	2	8	no	—
243	C₂²×C₄	—	2	4	no	—
244	C₂²×C₄	—	2	4	no	—
245	C₂²×C₄	—	4	8	no	—
246	C₂²×C₄	C₂²⋊C₄×C₁₂₇	1	4	yes	—
247	C₂²×C₄	C₂²⋊C₄×C₁₂₇	1	4	yes	—
248	C₂²×C₄	C₂²×C₄×C₁₂₇	1	2	yes	—
249	C₂²×C₄	C₂×D₄×C₁₂₇	1	1	yes	characteristic
250	C₂²×C₄	C₂×D₄×C₁₂₇	1	1	yes	characteristic
251	C₂²×C₄	C₂×D₄×C₁₂₇	1	1	yes	characteristic
252	C₂²×C₄	C₂×D₄×C₁₂₇	1	1	yes	characteristic
253	C₂²×C₄	C₂×D₄×C₁₂₇	1	2	yes	—
254	C₂²×C₄	C₂×D₄×C₁₂₇	1	1	yes	characteristic
255	C₂²×C₄	C₂⁴×C₁₂₇	1	1	yes	characteristic
256	C₂×C₈	—	2	4	no	—
257	C₂×C₈	—	2	8	no	—
258	C₄⋊C₄	—	2	8	no	—
259	C₄⋊C₄	—	2	8	no	—
260	C₄⋊C₄	—	2	8	no	—
261	C₄⋊C₄	—	2	8	no	—
262	C₄⋊C₄	—	2	8	no	—
263	C₂²⋊C₄	—	4	4	no	—
264	C₄²	—	4	4	no	—
265	C₄²	C₂²⋊C₄×C₁₂₇	1	4	yes	—
266	C₄²	C₂²⋊C₄×C₁₂₇	1	4	yes	—
267	C₄²	C₂²×C₄×C₁₂₇	1	2	yes	—
268	C₄²	C₂²×C₄×C₁₂₇	1	2	yes	—
269	C₄²	C₂×D₄×C₁₂₇	1	2	yes	—
270	C₄²	C₂×D₄×C₁₂₇	1	2	yes	—
271	C₂³	—	2	2	no	—
272	C₂³	—	2	2	no	—
273	C₂³	C₂×C₂²⋊C₄×C₁₂₇	1	2	yes	—
274	C₂³	#137×C₁₂₇	1	4	yes	—
275	C₂³	C₂²×D₄×C₁₂₇	1	1	yes	characteristic
276	Q₈	—	2	16	no	—
277	Q₈	—	4	16	no	—
278	Q₈	—	4	8	no	—
279	C₂×C₄	—	2	2	no	—
280	C₂×C₄	—	2	2	no	—
281	C₂×C₄	—	2	2	no	—
282	C₂×C₄	—	2	2	no	—
283	C₂×C₄	—	2	8	no	—
284	C₂×C₄	—	2	4	no	—
285	C₂×C₄	—	2	4	no	—
286	C₂×C₄	—	2	8	no	—
287	C₂×C₄	—	2	8	no	—
288	C₂×C₄	—	4	16	no	—
289	C₂×C₄	—	4	8	no	—
290	C₂×C₄	—	4	4	no	—
291	C₂×C₄	—	4	4	no	—
292	C₂×C₄	—	4	4	no	—
293	C₂×C₄	C₂×C₂²⋊C₄×C₁₂₇	1	2	yes	—
294	C₂×C₄	C₂×C₂²⋊C₄×C₁₂₇	1	2	yes	—
295	C₂×C₄	C₂×C₂²⋊C₄×C₁₂₇	1	2	yes	—
296	C₂×C₄	C₂×C₂²⋊C₄×C₁₂₇	1	2	yes	—
297	C₂×C₄	C₂×C₂²⋊C₄×C₁₂₇	1	2	yes	—
298	C₂×C₄	#137×C₁₂₇	1	4	yes	—
299	C₂×C₄	C₂³×C₄×C₁₂₇	1	1	yes	characteristic
300	C₂×C₄	C₂²×D₄×C₁₂₇	1	1	yes	characteristic
301	C₂×C₄	H(5,𝔽₂)×C₁₂₇	1	4	yes	—
302	C₈	—	4	4	no	—
303	C₂²	—	2	2	no	—
304	C₂²	—	2	8	no	—
305	C₂²	—	2	2	no	—
306	C₂²	#419×C₁₂₇	1	4	yes	—
307	C₂²	C₂²×C₂²⋊C₄×C₁₂₇	1	1	yes	characteristic
308	C₂²	#535×C₁₂₇	1	2	yes	—
309	C₂²	C₂×#137×C₁₂₇	1	2	yes	—
310	C₂²	C₂×#137×C₁₂₇	1	2	yes	—
311	C₄	—	2	2	no	—
312	C₄	—	2	2	no	—
313	C₄	—	2	2	no	—
314	C₄	—	2	2	no	—
315	C₄	—	4	8	no	—
316	C₄	—	8	4	no	—
317	C₄	#419×C₁₂₇	1	4	yes	—
318	C₄	#518×C₁₂₇	1	2	yes	—
319	C₄	#535×C₁₂₇	1	2	yes	—
320	C₂	—	2	4	no	—
321	C₂	C₁₂₇×#2309	1	1	yes	characteristic
322	C₂	C₂×#419×C₁₂₇	1	1	yes	characteristic
323	C₂	C₂×#419×C₁₂₇	1	1	yes	characteristic
324	C₂	C₁₂₇×#3218	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₂₇	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₂₇
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₂₇
prime radical	C₂⁴×C₁₂₇	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₂₇ ◁ C₂²×C₄²×C₁₂₇ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₂₇×#1981	C₂	semidirect
5. C₁₂₇×#1960	C₂	semidirect
11. C₂×C₄⋊Q₈×C₁₂₇	C₄	semidirect
157. #21811	C₁₂₇	direct (N × H)
166. #1981	C₂×C₁₂₇	semidirect
167. #1960	C₂×C₁₂₇	semidirect
169. C₁₂₇	#21811	direct (N × H)
174. C₂×C₄⋊Q₈	C₄×C₁₂₇	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₄⋊Q₈×C₁₂₇	2
C₂×#432×C₁₂₇	2
C₁₂₇×#2283	2
C₁₂₇×#1981	2
C₁₂₇×#1960	2
C₁₂₇×#1787	2
#21811	127

Subgroups — C127×#21811 #44585484

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₂₇×#21811 #44585484