Subgroups — C₄×#16812694 #28365585

Order 13952.

516 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#16812694	C₂	1	1	yes	maximal, characteristic
2	#20294918	C₂	1	1	yes	maximal, characteristic
3	#20294916	C₂	1	1	yes	maximal, characteristic
4	#20294915	C₂	1	1	yes	maximal, characteristic
5	#20294912	C₂	1	1	yes	maximal, characteristic, complemented
6	#20294909	C₂	1	1	yes	maximal, characteristic, complemented
7	#20294907	C₂	1	1	yes	maximal, characteristic, complemented
8	#20294893	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×#13182008	C₂	1	1	yes	maximal, characteristic, complemented
10	C₄×C₄⋊Dic₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄×#13182006	C₂	1	1	yes	maximal, characteristic
12	C₄×#13182006	C₂	1	1	yes	maximal, characteristic
13	C₄×#13182006	C₂	1	1	yes	maximal, characteristic
14	C₄²×Dic₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₄⋊C₄×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₄×D₁₀₉	C₂²	1	1	yes	characteristic
17	#16812694	C₄	1	8	yes	direct product factor
18	C₂×C₄⋊Dic₁₀₉	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊Dic₁₀₉	C₂²	1	1	yes	characteristic
20	C₂×#13182008	C₂²	1	1	yes	characteristic
21	C₂×#13182008	C₂²	1	1	yes	characteristic
22	C₂×#13182006	C₂²	1	1	yes	characteristic
23	C₂×#13182006	C₂²	1	1	yes	characteristic
24	C₂×#13182006	C₂²	1	1	yes	characteristic
25	C₂×#13182006	C₂²	1	1	yes	characteristic
26	C₂×#13182006	C₂²	1	1	yes	characteristic
27	C₂×#13182006	C₂²	1	1	yes	characteristic
28	C₂×C₄×Dic₁₀₉	C₂²	1	1	yes	characteristic
29	C₂×C₄×Dic₁₀₉	C₂²	1	1	yes	characteristic
30	C₂×C₄×Dic₁₀₉	C₂²	1	1	yes	characteristic
31	C₂×C₄×Dic₁₀₉	C₂²	1	1	yes	characteristic
32	C₂×C₄×Dic₁₀₉	C₂²	1	1	yes	characteristic
33	C₂×C₄×Dic₁₀₉	C₂²	1	1	yes	characteristic
34	C₂×C₄×Dic₁₀₉	C₂²	1	1	yes	characteristic
35	#16812606	C₂²	1	1	yes	characteristic
36	#16812606	C₂²	1	1	yes	characteristic
37	#16812606	C₂²	1	1	yes	characteristic
38	#16812606	C₂²	1	1	yes	characteristic
39	#16812606	C₂²	1	1	yes	characteristic
40	#16812606	C₂²	1	1	yes	characteristic
41	#16812606	C₂²	1	1	yes	characteristic
42	#16812606	C₂²	1	1	yes	characteristic
43	#16812606	C₂²	1	1	yes	characteristic
44	#16812606	C₂²	1	1	yes	characteristic
45	C₂×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
46	C₂×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
47	C₂×C₄²×C₁₀₉	C₂²	1	1	yes	characteristic
48	C₂×C₄²×C₁₀₉	C₂²	1	1	yes	characteristic
49	C₂×C₄²×C₁₀₉	C₂²	1	1	yes	characteristic
50	#95×C₁₀₉	C₂²	1	1	yes	characteristic
51	#95×C₁₀₉	C₂²	1	1	yes	characteristic
52	C₂³×D₁₀₉	C₂³	1	1	yes	characteristic
53	C₂²×Dic₁₀₉	C₂³	1	1	yes	characteristic
54	C₂²×Dic₁₀₉	C₂³	1	1	yes	characteristic
55	C₂²×Dic₁₀₉	C₂³	1	1	yes	characteristic
56	C₂²×Dic₁₀₉	C₂³	1	1	yes	characteristic
57	C₂²×Dic₁₀₉	C₂³	1	1	yes	characteristic
58	C₂²×Dic₁₀₉	C₂³	1	1	yes	characteristic
59	C₂²×Dic₁₀₉	C₂³	1	1	yes	characteristic
60	C₂×C₄×D₁₀₉	—	2	2	no	—
61	C₂×C₄×D₁₀₉	—	2	2	no	—
62	C₂×C₄×D₁₀₉	—	2	2	no	—
63	C₄⋊Dic₁₀₉	—	2	2	no	—
64	C₄⋊Dic₁₀₉	C₂×C₄	1	4	yes	complemented
65	#13182008	—	2	2	no	—
66	#13182008	C₂×C₄	1	4	yes	complemented
67	#13182006	—	2	2	no	—
68	#13182006	—	2	2	no	—
69	#13182006	—	2	2	no	—
70	#13182006	C₂×C₄	1	4	yes	—
71	#13182006	C₂×C₄	1	4	yes	—
72	#13182006	C₂×C₄	1	4	yes	—
73	C₄×Dic₁₀₉	—	2	2	no	—
74	C₄×Dic₁₀₉	—	2	2	no	—
75	C₄×Dic₁₀₉	—	2	2	no	—
76	C₄×Dic₁₀₉	—	2	2	no	—
77	C₄×Dic₁₀₉	—	2	2	no	—
78	C₄×Dic₁₀₉	—	2	2	no	—
79	C₄×Dic₁₀₉	C₂×C₄	1	4	yes	complemented
80	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
81	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
82	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
83	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
84	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
85	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
86	C₂²×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
87	C₄⋊C₄×C₁₀₉	—	2	2	no	—
88	C₄⋊C₄×C₁₀₉	C₂×C₄	1	4	yes	complemented
89	C₄²×C₁₀₉	—	2	2	no	—
90	C₄²×C₁₀₉	—	2	2	no	—
91	C₄²×C₁₀₉	—	2	2	no	—
92	C₂³×C₁₀₉	C₂⁴	1	1	yes	characteristic
93	C₂²×D₁₀₉	—	2	1	no	—
94	C₂²×D₁₀₉	—	2	1	no	—
95	C₂²×D₁₀₉	—	2	1	no	—
96	C₂²×D₁₀₉	—	2	1	no	—
97	C₂²×D₁₀₉	—	2	1	no	—
98	C₂²×D₁₀₉	—	2	1	no	—
99	C₂²×D₁₀₉	C₂²×C₄	1	2	yes	—
100	C₂×C₄×C₁₀₉	—	2	1	no	—
101	C₂×C₄×C₁₀₉	—	2	1	no	—
102	C₂×C₄×C₁₀₉	—	2	1	no	—
103	C₂×C₄×C₁₀₉	—	2	1	no	—
104	C₂×C₄×C₁₀₉	—	2	1	no	—
105	C₂×C₄×C₁₀₉	—	2	1	no	—
106	C₂×C₄×C₁₀₉	—	2	1	no	—
107	C₂×C₄×C₁₀₉	—	2	1	no	—
108	C₂×C₄×C₁₀₉	—	2	1	no	—
109	C₂×C₄×C₁₀₉	—	2	1	no	—
110	C₂×C₄×C₁₀₉	—	2	1	no	—
111	C₂×C₄×C₁₀₉	—	2	1	no	—
112	C₂×C₄×C₁₀₉	—	2	1	no	—
113	C₂×C₄×C₁₀₉	—	2	1	no	—
114	C₂×C₄×C₁₀₉	C₂²×C₄	1	2	yes	—
115	C₂×C₄×C₁₀₉	C₂²×C₄	1	2	yes	—
116	C₂×C₄×C₁₀₉	C₂²×C₄	1	2	yes	—
117	C₂×C₄×C₁₀₉	#41	1	2	yes	—
118	C₂×C₄×C₁₀₉	#41	1	2	yes	—
119	C₂×C₄×C₁₀₉	#41	1	2	yes	—
120	C₂×C₄×C₁₀₉	#41	1	2	yes	—
121	C₂×Dic₁₀₉	—	2	1	no	—
122	C₂×Dic₁₀₉	—	2	1	no	—
123	C₂×Dic₁₀₉	—	2	1	no	—
124	C₂×Dic₁₀₉	—	2	1	no	—
125	C₂×Dic₁₀₉	—	2	1	no	—
126	C₂×Dic₁₀₉	—	2	1	no	—
127	C₂×Dic₁₀₉	—	2	1	no	—
128	C₂×Dic₁₀₉	—	2	1	no	—
129	C₂×Dic₁₀₉	—	2	1	no	—
130	C₂×Dic₁₀₉	—	2	1	no	—
131	C₂×Dic₁₀₉	—	2	1	no	—
132	C₂×Dic₁₀₉	—	2	1	no	—
133	C₂×Dic₁₀₉	—	2	1	no	—
134	C₂×Dic₁₀₉	—	2	1	no	—
135	C₂×Dic₁₀₉	—	2	1	no	—
136	C₂×Dic₁₀₉	—	2	1	no	—
137	C₂×Dic₁₀₉	C₂²×C₄	1	2	yes	—
138	C₂×Dic₁₀₉	C₂²×C₄	1	2	yes	—
139	C₂×Dic₁₀₉	C₂²×C₄	1	2	yes	—
140	C₂×Dic₁₀₉	#41	1	2	yes	—
141	C₂×Dic₁₀₉	#41	1	2	yes	—
142	C₄×D₁₀₉	—	4	4	no	—
143	C₂²×C₁₀₉	C₂³×C₄	1	1	yes	characteristic
144	C₂²×C₁₀₉	C₂×#41	1	1	yes	characteristic
145	C₂²×C₁₀₉	C₂×#41	1	1	yes	characteristic
146	C₂²×C₁₀₉	C₂×#41	1	1	yes	characteristic
147	C₂²×C₁₀₉	C₂×#41	1	1	yes	characteristic
148	C₂²×C₁₀₉	C₂×#41	1	1	yes	characteristic
149	C₂²×C₁₀₉	C₂×#41	1	1	yes	characteristic
150	C₂×D₁₀₉	—	2	2	no	—
151	C₂×D₁₀₉	—	2	2	no	—
152	C₂×D₁₀₉	—	2	2	no	—
153	C₂×D₁₀₉	—	4	1	no	—
154	C₂×D₁₀₉	—	4	1	no	—
155	C₂×D₁₀₉	—	4	1	no	—
156	C₂×D₁₀₉	—	4	1	no	—
157	C₄×C₁₀₉	—	2	2	no	—
158	C₄×C₁₀₉	—	2	2	no	—
159	C₄×C₁₀₉	—	2	2	no	—
160	C₄×C₁₀₉	—	2	2	no	—
161	C₄×C₁₀₉	—	4	1	no	—
162	C₄×C₁₀₉	—	4	1	no	—
163	C₄×C₁₀₉	#126	1	4	yes	complemented
164	Dic₁₀₉	—	2	2	no	—
165	Dic₁₀₉	—	2	2	no	—
166	Dic₁₀₉	—	2	2	no	—
167	Dic₁₀₉	—	2	2	no	—
168	Dic₁₀₉	—	2	2	no	—
169	Dic₁₀₉	—	4	1	no	—
170	Dic₁₀₉	—	4	1	no	—
171	C₂×C₁₀₉	C₄×#41	1	1	yes	characteristic
172	C₂×C₁₀₉	C₄×#41	1	1	yes	characteristic
173	C₂×C₁₀₉	C₄×#41	1	1	yes	characteristic
174	C₂×C₁₀₉	C₂×#126	1	1	yes	characteristic
175	C₂×C₁₀₉	#529	1	1	yes	characteristic
176	C₂×C₁₀₉	#529	1	1	yes	characteristic
177	C₂×C₁₀₉	#529	1	1	yes	characteristic
178	D₁₀₉	—	4	2	no	—
179	C₄×#126	—	109	1	no	maximal, Sylow
180	C₁₀₉	C₄×#126	1	1	yes	characteristic, complemented, Sylow
181	C₂×#126	—	109	1	no	—
182	#388	—	109	1	no	—
183	#388	—	109	1	no	—
184	#388	—	109	1	no	—
185	#387	—	109	1	no	—
186	#387	—	109	1	no	—
187	#387	—	109	1	no	—
188	#383	—	109	1	no	—
189	C₄×C₄⋊C₄	—	109	1	no	—
190	C₄×C₄⋊C₄	—	109	1	no	—
191	C₄×C₄⋊C₄	D₁₀₉	1	1	yes	characteristic, complemented
192	C₄×C₂²⋊C₄	—	109	1	no	—
193	C₄×C₂²⋊C₄	—	109	1	no	—
194	C₄×C₂²⋊C₄	—	109	1	no	—
195	C₄³	—	109	1	no	—
196	C₂³×C₄	—	109	1	no	—
197	#126	—	109	8	no	—
198	C₂×C₄⋊C₄	—	109	1	no	—
199	C₂×C₄⋊C₄	—	109	1	no	—
200	C₂×C₄⋊C₄	—	109	1	no	—
201	C₂×C₄⋊C₄	—	109	1	no	—
202	C₂×C₄⋊C₄	C₂×D₁₀₉	1	1	yes	characteristic
203	C₂×C₄⋊C₄	C₂×D₁₀₉	1	1	yes	characteristic
204	C₂×C₂²⋊C₄	—	109	1	no	—
205	C₂×C₂²⋊C₄	—	109	1	no	—
206	C₂×C₂²⋊C₄	—	109	1	no	—
207	C₂×C₂²⋊C₄	—	109	1	no	—
208	C₂×C₂²⋊C₄	—	109	1	no	—
209	C₂×C₂²⋊C₄	—	109	1	no	—
210	C₂×C₄²	—	109	1	no	—
211	C₂×C₄²	—	109	1	no	—
212	C₂×C₄²	—	109	1	no	—
213	C₂×C₄²	—	109	1	no	—
214	C₂×C₄²	—	109	1	no	—
215	C₂×C₄²	—	109	1	no	—
216	C₂×C₄²	—	109	1	no	—
217	C₂×C₄²	C₂×D₁₀₉	1	1	yes	characteristic
218	C₂×C₄²	C₂×D₁₀₉	1	1	yes	characteristic
219	C₂×C₄²	C₂×D₁₀₉	1	1	yes	characteristic
220	#95	—	109	1	no	—
221	#95	—	109	1	no	—
222	#95	—	109	1	no	—
223	#95	—	109	1	no	—
224	#95	—	109	1	no	—
225	#95	—	109	1	no	—
226	#95	—	109	1	no	—
227	#95	—	109	1	no	—
228	#95	—	109	1	no	—
229	#95	—	109	1	no	—
230	#95	C₂×D₁₀₉	1	1	yes	characteristic
231	#95	C₂×D₁₀₉	1	1	yes	characteristic
232	C₂⁴	—	109	1	no	—
233	C₂²×C₄	—	109	1	no	—
234	C₂²×C₄	—	109	1	no	—
235	C₂²×C₄	—	109	1	no	—
236	C₂²×C₄	—	109	1	no	—
237	C₂²×C₄	—	109	1	no	—
238	C₂²×C₄	—	109	1	no	—
239	C₂²×C₄	—	109	1	no	—
240	C₂²×C₄	—	218	2	no	—
241	C₂²×C₄	—	218	2	no	—
242	C₂²×C₄	—	218	2	no	—
243	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
244	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
245	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
246	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
247	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
248	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
249	C₂²×C₄	C₂²×D₁₀₉	1	1	yes	characteristic
250	C₄⋊C₄	—	2	2	no	—
251	C₄⋊C₄	—	109	4	no	—
252	C₄⋊C₄	—	109	4	no	—
253	C₄⋊C₄	—	218	2	no	—
254	C₄⋊C₄	—	218	2	no	—
255	C₄⋊C₄	C₄×D₁₀₉	1	4	yes	complemented
256	C₂²⋊C₄	—	109	4	no	—
257	C₂²⋊C₄	—	109	4	no	—
258	C₂²⋊C₄	—	109	4	no	—
259	C₂²⋊C₄	—	218	2	no	—
260	C₂²⋊C₄	—	218	2	no	—
261	C₂²⋊C₄	—	218	2	no	—
262	C₄²	—	2	2	no	—
263	C₄²	—	2	2	no	—
264	C₄²	—	2	2	no	—
265	C₄²	—	109	4	no	—
266	C₄²	—	218	2	no	—
267	C₄²	—	218	2	no	—
268	C₄²	—	218	2	no	—
269	C₄²	—	218	2	no	—
270	C₄²	—	218	2	no	—
271	C₄²	—	218	2	no	—
272	C₂³	—	109	2	no	—
273	C₂³	—	218	1	no	—
274	C₂³	—	218	1	no	—
275	C₂³	—	218	1	no	—
276	C₂³	—	218	1	no	—
277	C₂³	—	218	1	no	—
278	C₂³	—	218	1	no	—
279	C₂³	C₂³×D₁₀₉	1	1	yes	characteristic
280	C₂×C₄	—	2	1	no	—
281	C₂×C₄	—	2	1	no	—
282	C₂×C₄	—	2	1	no	—
283	C₂×C₄	—	2	1	no	—
284	C₂×C₄	—	2	1	no	—
285	C₂×C₄	—	2	1	no	—
286	C₂×C₄	—	2	1	no	—
287	C₂×C₄	—	2	1	no	—
288	C₂×C₄	—	2	1	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	109	2	no	—
295	C₂×C₄	—	109	2	no	—
296	C₂×C₄	—	109	2	no	—
297	C₂×C₄	—	109	2	no	—
298	C₂×C₄	—	109	2	no	—
299	C₂×C₄	—	436	4	no	—
300	C₂×C₄	—	218	1	no	—
301	C₂×C₄	—	218	1	no	—
302	C₂×C₄	—	218	1	no	—
303	C₂×C₄	—	218	1	no	—
304	C₂×C₄	—	218	1	no	—
305	C₂×C₄	—	218	1	no	—
306	C₂×C₄	—	218	1	no	—
307	C₂×C₄	—	218	1	no	—
308	C₂×C₄	—	218	1	no	—
309	C₂×C₄	—	218	1	no	—
310	C₂×C₄	—	218	1	no	—
311	C₂×C₄	—	218	1	no	—
312	C₂×C₄	—	218	1	no	—
313	C₂×C₄	—	218	1	no	—
314	C₂×C₄	—	218	1	no	—
315	C₂×C₄	—	218	1	no	—
316	C₂×C₄	C₂×C₄×D₁₀₉	1	2	yes	—
317	C₂×C₄	C₂×C₄×D₁₀₉	1	2	yes	—
318	C₂×C₄	C₂×C₄×D₁₀₉	1	2	yes	—
319	C₂×C₄	#13182028	1	2	yes	—
320	C₂×C₄	#13182029	1	2	yes	—
321	C₂×C₄	#13182029	1	2	yes	—
322	C₂×C₄	#13182030	1	2	yes	—
323	C₂²	—	436	1	no	—
324	C₂²	—	436	1	no	—
325	C₂²	—	436	1	no	—
326	C₂²	—	436	1	no	—
327	C₂²	—	218	2	no	—
328	C₂²	—	218	2	no	—
329	C₂²	—	218	2	no	—
330	C₂²	C₂²×C₄×D₁₀₉	1	1	yes	characteristic
331	C₂²	#41×D₁₀₉	1	1	yes	characteristic
332	C₂²	#41×D₁₀₉	1	1	yes	characteristic
333	C₂²	C₂×#13182028	1	1	yes	characteristic
334	C₂²	C₂×#13182029	1	1	yes	characteristic
335	C₂²	C₂×#13182029	1	1	yes	characteristic
336	C₂²	C₂×#13182030	1	1	yes	characteristic
337	C₄	—	2	2	no	—
338	C₄	—	2	2	no	—
339	C₄	—	2	2	no	—
340	C₄	—	2	2	no	—
341	C₄	—	4	1	no	—
342	C₄	—	4	1	no	—
343	C₄	—	436	1	no	—
344	C₄	—	436	1	no	—
345	C₄	—	218	2	no	—
346	C₄	—	218	2	no	—
347	C₄	—	218	2	no	—
348	C₄	—	218	2	no	—
349	C₄	—	218	2	no	—
350	C₄	#16812694	1	4	yes	direct product factor
351	C₂	—	436	2	no	—
352	C₂	C₄×#13182028	1	1	yes	characteristic
353	C₂	C₄×#13182029	1	1	yes	characteristic
354	C₂	C₄×#13182030	1	1	yes	characteristic
355	C₂	C₂×#16812694	1	1	yes	characteristic
356	C₂	#20295554	1	1	yes	characteristic
357	C₂	#20295556	1	1	yes	characteristic
358	C₂	#20295563	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂²×D₁₀₉
commutator	C₂²×C₁₀₉	C₂³×C₄
Frattini	C₂³	C₂³×D₁₀₉
Fitting	C₄×C₄⋊C₄×C₁₀₉	C₂
socle, cosocle	C₂³×C₁₀₉	C₂⁴
prime radical	C₂³×D₁₀₉	C₂³
hypercenter	C₄×C₄⋊C₄	D₁₀₉
hypocenter	C₁₀₉	C₄×#126
LCS	G ▷ C₂²×C₁₀₉ ▷ C₁₀₉
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
5. #20294912	C₂	semidirect
6. #20294909	C₂	semidirect
7. #20294907	C₂	semidirect
8. #20294893	C₂	semidirect
9. C₄×#13182008	C₂	semidirect
10. C₄×C₄⋊Dic₁₀₉	C₂	semidirect
14. C₄²×Dic₁₀₉	C₂	semidirect
15. C₄×C₄⋊C₄×C₁₀₉	C₂	semidirect
17. #16812694	C₄	direct (N × H)
64. C₄⋊Dic₁₀₉	C₂×C₄	semidirect
66. #13182008	C₂×C₄	semidirect
79. C₄×Dic₁₀₉	C₂×C₄	semidirect
88. C₄⋊C₄×C₁₀₉	C₂×C₄	semidirect
163. C₄×C₁₀₉	#126	semidirect
180. C₁₀₉	C₄×#126	semidirect
191. C₄×C₄⋊C₄	D₁₀₉	semidirect
255. C₄⋊C₄	C₄×D₁₀₉	semidirect
350. C₄	#16812694	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×#16812694	2
#20294918	2
#20294916	2
#20294915	2
#20294912	2
#20294909	2
#20294907	2
#20294893	2
C₄×#13182008	2
C₄×C₄⋊Dic₁₀₉	2
C₄×#13182006	2
C₄²×Dic₁₀₉	2
C₄×C₄⋊C₄×C₁₀₉	2
C₄×#126	109

Subgroups — C4×#16812694 #28365585

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#16812694 #28365585