Subgroups — #121×Dic₂₇₇ #47985681

Order 35456.

824 conjugacy classes of subgroups.

The subgroup lattice has 340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₄×Dic₂₇₇	C₂	1	2	yes	maximal, complemented
2	C₂×D₄×Dic₂₇₇	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×Dic₂₇₇	C₂	1	1	yes	maximal, characteristic, complemented
4	#31799905	C₂	1	1	yes	maximal, characteristic, complemented
5	#31799901	C₂	1	1	yes	maximal, characteristic, complemented
6	#31799895	C₂	1	2	yes	maximal, complemented
7	#31799882	C₂	1	2	yes	maximal, complemented
8	#31799862	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄⋊C₄×Dic₂₇₇	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²⋊C₄×Dic₂₇₇	C₂	1	2	yes	maximal, complemented
11	C₂×#121×C₂₇₇	C₂	1	1	yes	maximal, characteristic
12	C₂³×Dic₂₇₇	C₂²	1	2	yes	—
13	C₂³×Dic₂₇₇	C₂²	1	1	yes	characteristic
14	C₂³×Dic₂₇₇	C₂²	1	1	yes	characteristic
15	D₄×Dic₂₇₇	—	2	8	no	—
16	D₄×Dic₂₇₇	—	2	4	no	—
17	C₂×C₄⋊Dic₂₇₇	C₂²	1	1	yes	characteristic
18	C₂×C₄⋊Dic₂₇₇	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊Dic₂₇₇	C₂²	1	2	yes	—
20	C₂×C₂²⋊Dic₂₇₇	C₂²	1	2	yes	—
21	C₂×C₂²⋊Dic₂₇₇	C₂²	1	2	yes	—
22	C₂×C₂²⋊Dic₂₇₇	C₂²	1	2	yes	—
23	C₂×C₂²⋊Dic₂₇₇	C₂²	1	2	yes	—
24	C₂×C₄×Dic₂₇₇	—	2	4	no	—
25	C₂×C₄×Dic₂₇₇	C₂²	1	1	yes	characteristic
26	C₂×C₄×Dic₂₇₇	C₂²	1	2	yes	—
27	C₂×C₄×Dic₂₇₇	C₂²	1	1	yes	characteristic
28	C₂×C₄×Dic₂₇₇	C₂²	1	1	yes	characteristic
29	C₂×C₄×Dic₂₇₇	C₂²	1	1	yes	characteristic
30	#22579787	C₂²	1	2	yes	—
31	#22579787	C₂²	1	2	yes	—
32	#22579787	C₂²	1	2	yes	—
33	C₂²×D₄×C₂₇₇	C₂²	1	2	yes	—
34	C₂²×D₄×C₂₇₇	C₂²	1	1	yes	characteristic
35	C₂³×C₄×C₂₇₇	C₂²	1	1	yes	characteristic
36	#121×C₂₇₇	C₄	1	8	yes	complemented
37	C₂×C₄⋊C₄×C₂₇₇	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊C₄×C₂₇₇	C₂²	1	2	yes	—
39	C₂²×Dic₂₇₇	—	2	2	no	—
40	C₂²×Dic₂₇₇	—	2	2	no	—
41	C₂²×Dic₂₇₇	—	2	2	no	—
42	C₂²×Dic₂₇₇	—	2	2	no	—
43	C₂²×Dic₂₇₇	—	2	4	no	—
44	C₂²×Dic₂₇₇	—	2	4	no	—
45	C₂²×Dic₂₇₇	—	2	4	no	—
46	C₂²×Dic₂₇₇	—	2	2	no	—
47	C₂²×Dic₂₇₇	D₄	1	4	yes	complemented
48	C₂²×Dic₂₇₇	C₂³	1	2	yes	—
49	C₂²×Dic₂₇₇	C₂³	1	2	yes	—
50	C₂²×Dic₂₇₇	C₂³	1	1	yes	characteristic
51	C₂²×Dic₂₇₇	C₂³	1	1	yes	characteristic
52	C₂²×Dic₂₇₇	C₂³	1	1	yes	characteristic
53	C₂²×Dic₂₇₇	C₂³	1	1	yes	characteristic
54	C₄⋊Dic₂₇₇	—	2	4	no	—
55	C₄⋊Dic₂₇₇	—	2	2	no	—
56	C₄⋊Dic₂₇₇	—	2	2	no	—
57	C₂²⋊Dic₂₇₇	—	2	4	no	—
58	C₂²⋊Dic₂₇₇	—	2	4	no	—
59	C₂²⋊Dic₂₇₇	—	2	4	no	—
60	C₂²⋊Dic₂₇₇	—	2	4	no	—
61	C₄×Dic₂₇₇	—	2	2	no	—
62	C₄×Dic₂₇₇	—	2	2	no	—
63	C₄×Dic₂₇₇	—	2	4	no	—
64	C₄×Dic₂₇₇	—	2	2	no	—
65	C₄×Dic₂₇₇	D₄	1	4	yes	complemented
66	C₂⁴×C₂₇₇	C₂³	1	2	yes	—
67	C₂⁴×C₂₇₇	C₂³	1	1	yes	characteristic
68	C₂×D₄×C₂₇₇	—	2	4	no	—
69	C₂×D₄×C₂₇₇	—	2	4	no	—
70	C₂×D₄×C₂₇₇	—	2	2	no	—
71	C₂×D₄×C₂₇₇	—	2	2	no	—
72	C₂×D₄×C₂₇₇	C₂×C₄	1	8	yes	complemented
73	C₂×D₄×C₂₇₇	C₂×C₄	1	4	yes	complemented
74	C₂²×C₄×C₂₇₇	—	2	2	no	—
75	C₂²×C₄×C₂₇₇	—	2	2	no	—
76	C₂²×C₄×C₂₇₇	C₂×C₄	1	4	yes	complemented
77	C₂²×C₄×C₂₇₇	C₂³	1	1	yes	characteristic
78	C₂²×C₄×C₂₇₇	C₂³	1	2	yes	—
79	C₂²×C₄×C₂₇₇	C₂³	1	1	yes	characteristic
80	C₄⋊C₄×C₂₇₇	C₂×C₄	1	4	yes	complemented
81	C₂²⋊C₄×C₂₇₇	C₂×C₄	1	8	yes	complemented
82	C₂×Dic₂₇₇	—	2	8	no	—
83	C₂×Dic₂₇₇	—	2	1	no	—
84	C₂×Dic₂₇₇	—	2	1	no	—
85	C₂×Dic₂₇₇	—	2	1	no	—
86	C₂×Dic₂₇₇	—	2	1	no	—
87	C₂×Dic₂₇₇	—	2	1	no	—
88	C₂×Dic₂₇₇	—	2	1	no	—
89	C₂×Dic₂₇₇	—	2	8	no	—
90	C₂×Dic₂₇₇	—	2	2	no	—
91	C₂×Dic₂₇₇	—	2	2	no	—
92	C₂×Dic₂₇₇	—	2	2	no	—
93	C₂×Dic₂₇₇	—	2	2	no	—
94	C₂×Dic₂₇₇	—	2	2	no	—
95	C₂×Dic₂₇₇	—	2	2	no	—
96	C₂×Dic₂₇₇	—	4	8	no	—
97	C₂×Dic₂₇₇	C₂×D₄	1	2	yes	—
98	C₂×Dic₂₇₇	C₂×D₄	1	2	yes	—
99	C₂×Dic₂₇₇	C₂×D₄	1	2	yes	—
100	C₂×Dic₂₇₇	C₂×D₄	1	2	yes	—
101	C₂×Dic₂₇₇	#41	1	2	yes	—
102	C₂×Dic₂₇₇	#41	1	2	yes	—
103	C₂³×C₂₇₇	—	2	1	no	—
104	C₂³×C₂₇₇	—	2	1	no	—
105	C₂³×C₂₇₇	—	2	1	no	—
106	C₂³×C₂₇₇	—	2	1	no	—
107	C₂³×C₂₇₇	—	2	2	no	—
108	C₂³×C₂₇₇	—	2	2	no	—
109	C₂³×C₂₇₇	—	2	2	no	—
110	C₂³×C₂₇₇	—	2	2	no	—
111	C₂³×C₂₇₇	—	2	2	no	—
112	C₂³×C₂₇₇	—	2	2	no	—
113	C₂³×C₂₇₇	C₂²×C₄	1	4	yes	—
114	C₂³×C₂₇₇	C₂²×C₄	1	2	yes	—
115	C₂³×C₂₇₇	C₂×D₄	1	2	yes	—
116	C₂³×C₂₇₇	#41	1	2	yes	—
117	C₂³×C₂₇₇	C₂⁴	1	1	yes	characteristic
118	D₄×C₂₇₇	—	2	16	no	—
119	D₄×C₂₇₇	—	2	8	no	—
120	C₂×C₄×C₂₇₇	—	2	1	no	—
121	C₂×C₄×C₂₇₇	—	2	2	no	—
122	C₂×C₄×C₂₇₇	—	2	1	no	—
123	C₂×C₄×C₂₇₇	—	2	2	no	—
124	C₂×C₄×C₂₇₇	—	2	8	no	—
125	C₂×C₄×C₂₇₇	C₂²×C₄	1	2	yes	—
126	C₂×C₄×C₂₇₇	C₂²×C₄	1	4	yes	—
127	C₂×C₄×C₂₇₇	C₂²×C₄	1	2	yes	—
128	C₂×C₄×C₂₇₇	C₂×D₄	1	2	yes	—
129	C₂×C₄×C₂₇₇	#41	1	2	yes	—
130	C₂²×C₂₇₇	—	2	2	no	—
131	C₂²×C₂₇₇	—	2	2	no	—
132	C₂²×C₂₇₇	—	2	2	no	—
133	C₂²×C₂₇₇	—	2	2	no	—
134	C₂²×C₂₇₇	—	2	2	no	—
135	C₂²×C₂₇₇	—	2	2	no	—
136	C₂²×C₂₇₇	—	2	4	no	—
137	C₂²×C₂₇₇	—	2	4	no	—
138	C₂²×C₂₇₇	—	2	4	no	—
139	C₂²×C₂₇₇	—	4	2	no	—
140	C₂²×C₂₇₇	—	4	2	no	—
141	C₂²×C₂₇₇	—	4	2	no	—
142	C₂²×C₂₇₇	—	4	2	no	—
143	C₂²×C₂₇₇	C₄×D₄	1	4	yes	complemented
144	C₂²×C₂₇₇	C₂³×C₄	1	1	yes	characteristic
145	C₂²×C₂₇₇	C₂²×D₄	1	1	yes	characteristic
146	C₂²×C₂₇₇	C₂²×D₄	1	1	yes	characteristic
147	C₂²×C₂₇₇	C₂×#41	1	1	yes	characteristic
148	C₂²×C₂₇₇	C₂×#41	1	1	yes	characteristic
149	C₂²×C₂₇₇	C₂×#41	1	1	yes	characteristic
150	C₂²×C₂₇₇	C₂×#41	1	1	yes	characteristic
151	C₄×C₂₇₇	—	2	2	no	—
152	C₄×C₂₇₇	—	2	4	no	—
153	C₄×C₂₇₇	C₄×D₄	1	4	yes	complemented
154	Dic₂₇₇	—	2	2	no	—
155	Dic₂₇₇	—	2	2	no	—
156	Dic₂₇₇	—	2	2	no	—
157	Dic₂₇₇	—	4	2	no	—
158	Dic₂₇₇	—	4	2	no	—
159	Dic₂₇₇	#121	1	4	yes	direct product factor
160	C₂×C₂₇₇	—	2	4	no	—
161	C₂×C₂₇₇	—	4	4	no	—
162	C₂×C₂₇₇	C₂×C₄×D₄	1	1	yes	characteristic
163	C₂×C₂₇₇	C₂×C₄×D₄	1	1	yes	characteristic
164	C₂×C₂₇₇	C₄×#41	1	1	yes	characteristic
165	C₂×C₂₇₇	C₂×#121	1	1	yes	characteristic
166	C₂×C₂₇₇	#525	1	1	yes	characteristic
167	C₂×C₂₇₇	#529	1	1	yes	characteristic
168	C₂×C₂₇₇	#532	1	1	yes	characteristic
169	C₂₇₇	C₄×#121	1	1	yes	characteristic, complemented, Sylow
170	C₄×#121	—	277	1	no	maximal, Sylow
171	C₂×#121	D₂₇₇	1	1	yes	characteristic
172	C₂×C₄×D₄	—	277	1	no	—
173	C₂×C₄×D₄	—	277	2	no	—
174	C₂²×C₄²	—	277	1	no	—
175	#390	—	277	1	no	—
176	#389	—	277	1	no	—
177	#388	—	277	2	no	—
178	#386	—	277	2	no	—
179	#380	—	277	1	no	—
180	C₄×C₄⋊C₄	—	277	1	no	—
181	C₄×C₂²⋊C₄	—	277	2	no	—
182	C₂²×D₄	C₂×D₂₇₇	1	2	yes	—
183	C₂²×D₄	C₂×D₂₇₇	1	1	yes	characteristic
184	C₂³×C₄	—	277	1	no	—
185	C₂³×C₄	—	277	2	no	—
186	C₂³×C₄	—	277	1	no	—
187	C₂³×C₄	C₂×D₂₇₇	1	1	yes	characteristic
188	#121	Dic₂₇₇	1	8	yes	direct product factor
189	C₄×D₄	—	554	4	no	—
190	C₄×D₄	—	554	8	no	—
191	C₂×C₄⋊C₄	—	277	1	no	—
192	C₂×C₄⋊C₄	—	277	2	no	—
193	C₂×C₄⋊C₄	—	277	1	no	—
194	C₂×C₄⋊C₄	C₂×D₂₇₇	1	1	yes	characteristic
195	C₂×C₂²⋊C₄	—	277	2	no	—
196	C₂×C₂²⋊C₄	—	277	2	no	—
197	C₂×C₂²⋊C₄	—	277	2	no	—
198	C₂×C₂²⋊C₄	—	277	2	no	—
199	C₂×C₂²⋊C₄	C₂×D₂₇₇	1	2	yes	—
200	C₂×C₄²	—	277	1	no	—
201	C₂×C₄²	—	277	2	no	—
202	C₂×C₄²	—	277	1	no	—
203	C₂×C₄²	—	277	1	no	—
204	C₂×C₄²	—	277	1	no	—
205	C₂×C₄²	—	554	4	no	—
206	#95	—	277	2	no	—
207	#95	—	277	2	no	—
208	#95	—	277	2	no	—
209	C₂⁴	C₂²×D₂₇₇	1	2	yes	—
210	C₂⁴	C₂²×D₂₇₇	1	1	yes	characteristic
211	C₂×D₄	—	2	4	no	—
212	C₂×D₄	—	2	4	no	—
213	C₂×D₄	—	2	2	no	—
214	C₂×D₄	—	2	2	no	—
215	C₂×D₄	C₂×Dic₂₇₇	1	8	yes	complemented
216	C₂×D₄	C₂×Dic₂₇₇	1	4	yes	complemented
217	C₂²×C₄	—	2	2	no	—
218	C₂²×C₄	—	2	2	no	—
219	C₂²×C₄	—	277	1	no	—
220	C₂²×C₄	—	277	4	no	—
221	C₂²×C₄	—	277	1	no	—
222	C₂²×C₄	—	277	1	no	—
223	C₂²×C₄	—	277	1	no	—
224	C₂²×C₄	—	277	2	no	—
225	C₂²×C₄	—	277	2	no	—
226	C₂²×C₄	—	554	2	no	—
227	C₂²×C₄	—	554	2	no	—
228	C₂²×C₄	—	554	2	no	—
229	C₂²×C₄	—	554	2	no	—
230	C₂²×C₄	—	554	4	no	—
231	C₂²×C₄	—	554	4	no	—
232	C₂²×C₄	—	554	4	no	—
233	C₂²×C₄	—	554	2	no	—
234	C₂²×C₄	C₂×Dic₂₇₇	1	4	yes	complemented
235	C₂²×C₄	C₂²×D₂₇₇	1	1	yes	characteristic
236	C₂²×C₄	C₂²×D₂₇₇	1	2	yes	—
237	C₂²×C₄	C₂²×D₂₇₇	1	1	yes	characteristic
238	C₄⋊C₄	—	554	4	no	—
239	C₄⋊C₄	—	554	2	no	—
240	C₄⋊C₄	—	554	2	no	—
241	C₄⋊C₄	C₂×Dic₂₇₇	1	4	yes	complemented
242	C₂²⋊C₄	—	554	4	no	—
243	C₂²⋊C₄	—	554	4	no	—
244	C₂²⋊C₄	—	554	4	no	—
245	C₂²⋊C₄	—	554	4	no	—
246	C₂²⋊C₄	C₂×Dic₂₇₇	1	8	yes	complemented
247	C₄²	—	277	4	no	—
248	C₄²	—	554	2	no	—
249	C₄²	—	554	2	no	—
250	C₄²	—	554	4	no	—
251	C₄²	—	554	2	no	—
252	C₂³	—	2	1	no	—
253	C₂³	—	2	1	no	—
254	C₂³	—	2	1	no	—
255	C₂³	—	2	1	no	—
256	C₂³	—	2	2	no	—
257	C₂³	—	2	2	no	—
258	C₂³	—	2	2	no	—
259	C₂³	—	2	2	no	—
260	C₂³	—	2	2	no	—
261	C₂³	—	2	2	no	—
262	C₂³	C₂²×Dic₂₇₇	1	4	yes	—
263	C₂³	C₂²×Dic₂₇₇	1	2	yes	—
264	C₂³	D₄×D₂₇₇	1	2	yes	—
265	C₂³	#17984562	1	2	yes	—
266	C₂³	C₂³×D₂₇₇	1	1	yes	characteristic
267	D₄	—	2	16	no	—
268	D₄	—	2	8	no	—
269	C₂×C₄	—	2	1	no	—
270	C₂×C₄	—	2	2	no	—
271	C₂×C₄	—	2	1	no	—
272	C₂×C₄	—	2	2	no	—
273	C₂×C₄	—	2	8	no	—
274	C₂×C₄	—	277	2	no	—
275	C₂×C₄	—	277	2	no	—
276	C₂×C₄	—	277	2	no	—
277	C₂×C₄	—	277	2	no	—
278	C₂×C₄	—	277	2	no	—
279	C₂×C₄	—	277	2	no	—
280	C₂×C₄	—	554	8	no	—
281	C₂×C₄	—	554	8	no	—
282	C₂×C₄	—	554	1	no	—
283	C₂×C₄	—	554	1	no	—
284	C₂×C₄	—	554	1	no	—
285	C₂×C₄	—	554	1	no	—
286	C₂×C₄	—	554	1	no	—
287	C₂×C₄	—	554	1	no	—
288	C₂×C₄	—	554	2	no	—
289	C₂×C₄	—	554	2	no	—
290	C₂×C₄	—	554	2	no	—
291	C₂×C₄	—	554	2	no	—
292	C₂×C₄	—	554	2	no	—
293	C₂×C₄	—	554	2	no	—
294	C₂×C₄	—	1108	8	no	—
295	C₂×C₄	C₂²×Dic₂₇₇	1	2	yes	—
296	C₂×C₄	C₂²×Dic₂₇₇	1	4	yes	—
297	C₂×C₄	C₂²×Dic₂₇₇	1	2	yes	—
298	C₂×C₄	D₄×D₂₇₇	1	2	yes	—
299	C₂×C₄	#17984562	1	2	yes	—
300	C₂²	—	2	2	no	—
301	C₂²	—	2	2	no	—
302	C₂²	—	2	2	no	—
303	C₂²	—	2	2	no	—
304	C₂²	—	2	2	no	—
305	C₂²	—	2	2	no	—
306	C₂²	—	2	4	no	—
307	C₂²	—	2	4	no	—
308	C₂²	—	2	4	no	—
309	C₂²	—	4	2	no	—
310	C₂²	—	4	2	no	—
311	C₂²	—	4	2	no	—
312	C₂²	—	4	2	no	—
313	C₂²	D₄×Dic₂₇₇	1	4	yes	complemented
314	C₂²	C₂³×Dic₂₇₇	1	1	yes	characteristic
315	C₂²	C₂×D₄×D₂₇₇	1	1	yes	characteristic
316	C₂²	C₂×D₄×D₂₇₇	1	1	yes	characteristic
317	C₂²	#41×D₂₇₇	1	1	yes	characteristic
318	C₂²	#41×D₂₇₇	1	1	yes	characteristic
319	C₂²	C₂×#17984562	1	1	yes	characteristic
320	C₂²	C₂×#17984562	1	1	yes	characteristic
321	C₄	—	2	2	no	—
322	C₄	—	2	4	no	—
323	C₄	—	277	4	no	—
324	C₄	—	554	2	no	—
325	C₄	—	554	2	no	—
326	C₄	—	554	2	no	—
327	C₄	—	1108	2	no	—
328	C₄	—	1108	2	no	—
329	C₄	D₄×Dic₂₇₇	1	4	yes	complemented
330	C₂	—	2	4	no	—
331	C₂	—	4	4	no	—
332	C₂	C₂×D₄×Dic₂₇₇	1	1	yes	characteristic
333	C₂	C₂×D₄×Dic₂₇₇	1	1	yes	characteristic
334	C₂	#41×Dic₂₇₇	1	1	yes	characteristic
335	C₂	#121×D₂₇₇	1	1	yes	characteristic
336	C₂	#31800512	1	1	yes	characteristic
337	C₂	#31800533	1	1	yes	characteristic
338	C₂	#31800547	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂³×D₂₇₇
commutator	C₂²×C₂₇₇	C₂³×C₄
Fitting, prime radical	C₂×#121×C₂₇₇	C₂
socle, cosocle	C₂³×C₂₇₇	C₂⁴
hypercenter	C₂×#121	D₂₇₇
hypocenter	C₂₇₇	C₄×#121
LCS	G ▷ C₂²×C₂₇₇ ▷ C₂₇₇
UCS	C₁ ◁ C₂³ ◁ C₂×#121

Complements

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

N	H ≅ G/N	type
1. C₂×D₄×Dic₂₇₇	C₂	semidirect
2. C₂×D₄×Dic₂₇₇	C₂	semidirect
3. C₂²×C₄×Dic₂₇₇	C₂	semidirect
4. #31799905	C₂	semidirect
5. #31799901	C₂	semidirect
6. #31799895	C₂	semidirect
7. #31799882	C₂	semidirect
8. #31799862	C₂	semidirect
9. C₄⋊C₄×Dic₂₇₇	C₂	semidirect
10. C₂²⋊C₄×Dic₂₇₇	C₂	semidirect
36. #121×C₂₇₇	C₄	semidirect
47. C₂²×Dic₂₇₇	D₄	semidirect
65. C₄×Dic₂₇₇	D₄	semidirect
72. C₂×D₄×C₂₇₇	C₂×C₄	semidirect
73. C₂×D₄×C₂₇₇	C₂×C₄	semidirect
76. C₂²×C₄×C₂₇₇	C₂×C₄	semidirect
80. C₄⋊C₄×C₂₇₇	C₂×C₄	semidirect
81. C₂²⋊C₄×C₂₇₇	C₂×C₄	semidirect
143. C₂²×C₂₇₇	C₄×D₄	semidirect
153. C₄×C₂₇₇	C₄×D₄	semidirect
159. Dic₂₇₇	#121	direct (N × H)
169. C₂₇₇	C₄×#121	semidirect
188. #121	Dic₂₇₇	direct (N × H)
215. C₂×D₄	C₂×Dic₂₇₇	semidirect
216. C₂×D₄	C₂×Dic₂₇₇	semidirect
234. C₂²×C₄	C₂×Dic₂₇₇	semidirect
241. C₄⋊C₄	C₂×Dic₂₇₇	semidirect
246. C₂²⋊C₄	C₂×Dic₂₇₇	semidirect
313. C₂²	D₄×Dic₂₇₇	semidirect
329. C₄	D₄×Dic₂₇₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₄×Dic₂₇₇	2
C₂²×C₄×Dic₂₇₇	2
#31799905	2
#31799901	2
#31799895	2
#31799882	2
#31799862	2
C₄⋊C₄×Dic₂₇₇	2
C₂²⋊C₄×Dic₂₇₇	2
C₂×#121×C₂₇₇	2
C₄×#121	277

Subgroups — #121×Dic277 #47985681

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #121×Dic₂₇₇ #47985681