Subgroups — C₂×#19136726 #25251167

Order 11008.

658 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13063270	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583315	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583175	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583170	C₂	1	1	yes	maximal, characteristic
5	#19136726	C₂	1	8	yes	maximal, direct product factor
6	C₂×#14582714	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582711	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₃×#368	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#13063358	—	2	1	no	—
10	C₂×#13063353	—	2	1	no	—
11	C₂²×Dic₁₇₂	C₂²	1	1	yes	characteristic
12	C₂²×D₃₄₄	C₂²	1	1	yes	characteristic
13	C₂×#13063331	C₂²	1	1	yes	characteristic
14	C₂×#13063270	—	2	1	no	—
15	C₂×#13063270	—	2	1	no	—
16	C₂×#13063270	—	2	2	no	—
17	C₂×#13063270	C₂²	1	4	yes	complemented
18	#14583315	—	2	2	no	—
19	#14583315	C₂²	1	4	yes	complemented
20	C₂×#13063265	C₂²	1	1	yes	characteristic
21	C₂×#13063264	—	2	1	no	—
22	C₂×C₁₆×D₄₃	—	2	1	no	—
23	#14583175	—	2	2	no	—
24	#14583175	C₂²	1	4	yes	complemented
25	#14583170	—	2	2	no	—
26	#14583170	C₂²	1	4	yes	—
27	C₂×#13063243	—	2	1	no	—
28	C₂×#13063241	—	2	1	no	—
29	#14582714	C₂²	1	4	yes	complemented
30	#14582711	C₂²	1	4	yes	complemented
31	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
32	C₂×#108×C₄₃	C₂²	1	1	yes	characteristic
33	C₂×#108×C₄₃	C₂²	1	1	yes	characteristic
34	C₄₃×#368	C₂²	1	4	yes	complemented
35	C₂×#10621898	D₄	1	1	yes	characteristic
36	C₂²×Dic₈₆	—	2	1	no	—
37	C₂²×D₁₇₂	—	2	1	no	—
38	#13063358	—	2	4	no	—
39	#13063358	—	4	2	no	—
40	#13063353	—	2	4	no	—
41	#13063353	—	4	2	no	—
42	C₂×Dic₁₇₂	—	2	1	no	—
43	C₂×Dic₁₇₂	—	2	1	no	—
44	C₂×Dic₁₇₂	—	2	1	no	—
45	C₂×Dic₁₇₂	—	2	1	no	—
46	C₂×Dic₁₇₂	—	2	1	no	—
47	C₂×Dic₁₇₂	—	4	1	no	—
48	C₂×Dic₁₇₂	C₂³	1	2	yes	—
49	C₂×#10621873	—	4	1	no	—
50	C₂×#10621873	—	4	1	no	—
51	C₂×D₃₄₄	—	2	1	no	—
52	C₂×D₃₄₄	—	2	1	no	—
53	C₂×D₃₄₄	—	2	1	no	—
54	C₂×D₃₄₄	—	2	1	no	—
55	C₂×D₃₄₄	—	2	1	no	—
56	C₂×D₃₄₄	—	4	1	no	—
57	C₂×D₃₄₄	C₂³	1	2	yes	—
58	#13063331	—	2	1	no	—
59	#13063331	—	2	1	no	—
60	#13063331	D₄	1	2	yes	—
61	#13063331	C₂³	1	2	yes	—
62	C₂×#10621877	D₄	1	1	yes	characteristic
63	C₂×#10621872	—	2	1	no	—
64	C₂×C₈×D₄₃	—	2	1	no	—
65	#13063270	—	2	4	no	—
66	#13063270	—	2	4	no	—
67	#13063265	—	2	1	no	—
68	#13063265	C₂³	1	2	yes	—
69	#13063264	—	2	4	no	—
70	C₂×C₄₃⋊C₁₆	—	2	1	no	—
71	C₁₆×D₄₃	—	2	4	no	—
72	#13063243	—	2	4	no	—
73	#13063241	—	2	4	no	—
74	C₂×M₁₆×C₄₃	—	2	1	no	—
75	C₂×M₁₆×C₄₃	—	2	1	no	—
76	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
77	C₂×C₁₆×C₄₃	D₄	1	1	yes	characteristic
78	C₂×C₁₆×C₄₃	D₄	1	1	yes	characteristic
79	C₂×C₁₆×C₄₃	D₄	1	2	yes	—
80	C₂×C₁₆×C₄₃	C₂³	1	2	yes	—
81	#108×C₄₃	—	2	1	no	—
82	#108×C₄₃	—	2	1	no	—
83	#108×C₄₃	C₂³	1	2	yes	—
84	#108×C₄₃	C₂³	1	2	yes	—
85	C₂³×D₄₃	—	4	1	no	—
86	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
87	C₂×C₂²⋊D₄₃	—	2	1	no	—
88	C₂²×Dic₄₃	—	4	1	no	—
89	#10621898	—	2	1	no	—
90	#10621898	—	2	1	no	—
91	#10621898	D₈	1	2	yes	—
92	#10621898	C₂×D₄	1	2	yes	—
93	C₂×D₁₇₂	—	2	2	no	—
94	C₂×D₁₇₂	—	4	1	no	—
95	C₂×D₁₇₂	—	4	1	no	—
96	C₂×D₁₇₂	—	4	1	no	—
97	C₂×D₁₇₂	—	4	1	no	—
98	C₂×D₁₇₂	—	4	1	no	—
99	C₂×D₁₇₂	D₈	1	1	yes	characteristic
100	C₂×C₄×D₄₃	—	2	1	no	—
101	C₂×Dic₈₆	—	2	2	no	—
102	C₂×Dic₈₆	—	4	1	no	—
103	C₂×Dic₈₆	—	4	1	no	—
104	C₂×Dic₈₆	—	4	1	no	—
105	C₂×Dic₈₆	—	4	1	no	—
106	C₂×Dic₈₆	—	4	1	no	—
107	C₂×Dic₈₆	D₈	1	1	yes	characteristic
108	M₁₆×C₄₃	—	2	2	no	—
109	M₁₆×C₄₃	—	2	2	no	—
110	M₁₆×C₄₃	—	4	1	no	—
111	M₁₆×C₄₃	—	4	1	no	—
112	C₂×C₈×C₄₃	—	4	1	no	—
113	C₂×C₈×C₄₃	—	4	1	no	—
114	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
117	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
118	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
119	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
120	#10621877	—	2	1	no	—
121	#10621877	C₂×D₄	1	2	yes	—
122	C₂×C₄₃⋊C₈	—	2	1	no	—
123	Dic₁₇₂	—	2	2	no	—
124	Dic₁₇₂	—	2	2	no	—
125	Dic₁₇₂	—	4	4	no	—
126	Dic₁₇₂	—	4	1	no	—
127	Dic₁₇₂	—	4	1	no	—
128	D₃₄₄	—	2	2	no	—
129	D₃₄₄	—	2	2	no	—
130	D₃₄₄	—	4	4	no	—
131	D₃₄₄	—	4	1	no	—
132	D₃₄₄	—	4	1	no	—
133	#10621873	—	4	4	no	—
134	#10621873	—	4	4	no	—
135	#10621872	—	2	2	no	—
136	#10621872	—	2	2	no	—
137	C₈×D₄₃	—	2	2	no	—
138	C₈×D₄₃	—	2	2	no	—
139	C₁₆×C₄₃	C₂×D₄	1	2	yes	—
140	C₁₆×C₄₃	C₂×D₄	1	2	yes	—
141	C₄₃⋊C₁₆	—	2	2	no	—
142	C₂³×C₄₃	#135	1	1	yes	characteristic
143	C₂²×D₄₃	—	2	1	no	—
144	C₂²×D₄₃	—	4	2	no	—
145	C₂²×D₄₃	—	8	1	no	—
146	C₂²×D₄₃	—	8	1	no	—
147	C₂²×D₄₃	—	16	2	no	—
148	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
149	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
150	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
151	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
152	C₂×C₄×C₄₃	#135	1	1	yes	characteristic
153	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
154	C₂²⋊D₄₃	—	2	2	no	—
155	C₂²⋊D₄₃	—	2	2	no	—
156	C₂×Dic₄₃	—	2	1	no	—
157	C₂×Dic₄₃	—	4	2	no	—
158	C₂×Dic₄₃	—	8	1	no	—
159	C₂×Dic₄₃	—	8	1	no	—
160	D₁₇₂	—	2	1	no	—
161	D₁₇₂	—	4	2	no	—
162	D₁₇₂	—	4	2	no	—
163	D₁₇₂	—	8	1	no	—
164	D₁₇₂	—	8	1	no	—
165	D₁₇₂	C₂×D₈	1	2	yes	—
166	C₄×D₄₃	—	2	2	no	—
167	C₄×D₄₃	—	2	2	no	—
168	Dic₈₆	—	2	1	no	—
169	Dic₈₆	—	4	2	no	—
170	Dic₈₆	—	4	2	no	—
171	Dic₈₆	—	8	1	no	—
172	Dic₈₆	—	8	1	no	—
173	Dic₈₆	C₂×D₈	1	2	yes	—
174	C₈×C₄₃	—	4	2	no	—
175	C₈×C₄₃	—	4	2	no	—
176	C₈×C₄₃	#121	1	1	yes	characteristic
177	C₈×C₄₃	#121	1	1	yes	characteristic
178	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
179	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
180	C₄₃⋊C₈	—	2	2	no	—
181	C₂×#2223	—	43	1	no	maximal, Sylow
182	C₂²×C₄₃	—	2	2	no	—
183	C₂²×C₄₃	#466	1	1	yes	characteristic
184	C₂²×C₄₃	#466	1	1	yes	characteristic
185	C₂²×C₄₃	C₂×#135	1	1	yes	characteristic
186	C₂×D₄₃	—	2	2	no	—
187	C₂×D₄₃	—	4	2	no	—
188	C₂×D₄₃	—	8	2	no	—
189	C₂×D₄₃	—	16	2	no	—
190	C₂×D₄₃	—	16	2	no	—
191	C₂×D₄₃	—	16	2	no	—
192	C₄×C₄₃	#466	1	1	yes	characteristic
193	C₄×C₄₃	#466	1	1	yes	characteristic
194	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
195	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
196	Dic₄₃	—	2	2	no	—
197	Dic₄₃	—	8	2	no	—
198	C₂²×SD₃₂	—	43	1	no	—
199	C₂×#504	—	43	1	no	—
200	C₂×#473	—	43	1	no	—
201	C₂×#472	—	43	1	no	—
202	#2223	—	43	8	no	—
203	C₂×#368	D₄₃	1	1	yes	characteristic, complemented
204	C₂×#362	—	43	1	no	—
205	C₂×#361	—	43	1	no	—
206	C₂×C₄₃	—	2	1	no	—
207	C₂×C₄₃	—	2	1	no	—
208	C₂×C₄₃	#2223	1	2	yes	complemented
209	C₂×C₄₃	C₂×#466	1	1	yes	characteristic
210	D₄₃	—	4	2	no	—
211	D₄₃	—	16	2	no	—
212	C₂×#137	—	86	1	no	—
213	C₂×AGL(1,ℤ/8)	—	86	1	no	—
214	C₂²×Q₁₆	—	43	1	no	—
215	C₂²×D₈	—	43	1	no	—
216	C₂×#131	—	43	1	no	—
217	C₂×SD₃₂	—	43	4	no	—
218	C₂×SD₃₂	—	86	1	no	—
219	C₂×SD₃₂	—	86	1	no	—
220	C₂×SD₃₂	—	86	2	no	—
221	#504	—	43	4	no	—
222	#504	—	86	2	no	—
223	C₂×M₃₂	—	43	1	no	—
224	C₂×M₃₂	—	86	1	no	—
225	C₂²×C₁₆	—	86	1	no	—
226	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic
227	#473	—	43	4	no	—
228	#473	—	86	2	no	—
229	#472	—	43	4	no	—
230	#472	—	86	2	no	—
231	C₂×#108	C₂×D₄₃	1	1	yes	characteristic
232	C₂×#108	C₂×D₄₃	1	1	yes	characteristic
233	C₂×#101	—	86	1	no	—
234	C₂×#100	—	86	1	no	—
235	#368	C₂×D₄₃	1	4	yes	complemented
236	#362	—	43	4	no	—
237	#361	—	43	4	no	—
238	C₄₃	C₂×#2223	1	1	yes	characteristic, complemented, Sylow
239	C₂×#41	—	43	1	no	—
240	C₂²×Q₈	—	86	1	no	—
241	C₂²×D₄	—	86	1	no	—
242	#137	—	86	4	no	—
243	#137	—	172	2	no	—
244	AGL(1,ℤ/8)	—	86	4	no	—
245	AGL(1,ℤ/8)	—	172	2	no	—
246	C₂×Q₁₆	—	43	2	no	—
247	C₂×Q₁₆	—	86	1	no	—
248	C₂×Q₁₆	—	86	1	no	—
249	C₂×Q₁₆	—	86	1	no	—
250	C₂×Q₁₆	—	86	1	no	—
251	C₂×Q₁₆	—	86	1	no	—
252	C₂×Q₁₆	—	172	1	no	—
253	C₂×SD₁₆	—	172	1	no	—
254	C₂×SD₁₆	—	172	1	no	—
255	C₂×D₈	—	43	2	no	—
256	C₂×D₈	—	86	1	no	—
257	C₂×D₈	—	86	1	no	—
258	C₂×D₈	—	86	1	no	—
259	C₂×D₈	—	86	1	no	—
260	C₂×D₈	—	86	1	no	—
261	C₂×D₈	—	172	1	no	—
262	#131	—	43	2	no	—
263	#131	—	43	2	no	—
264	#131	—	86	1	no	—
265	#131	—	86	1	no	—
266	C₂×M₁₆	—	2	1	no	—
267	C₂×M₁₆	—	2	1	no	—
268	C₂×M₁₆	—	43	1	no	—
269	C₂×M₁₆	—	86	1	no	—
270	C₂²×C₈	—	86	1	no	—
271	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
272	SD₃₂	—	86	4	no	—
273	SD₃₂	—	86	4	no	—
274	M₃₂	—	43	2	no	—
275	M₃₂	—	86	1	no	—
276	M₃₂	—	86	4	no	—
277	C₂×C₁₆	—	86	1	no	—
278	C₂×C₁₆	—	86	4	no	—
279	C₂×C₁₆	D₁₇₂	1	1	yes	characteristic
280	C₂×C₁₆	D₁₇₂	1	1	yes	characteristic
281	C₂×C₁₆	D₁₇₂	1	2	yes	—
282	C₂×C₁₆	C₂²×D₄₃	1	2	yes	—
283	#108	—	2	1	no	—
284	#108	—	2	1	no	—
285	#108	C₂²×D₄₃	1	2	yes	—
286	#108	C₂²×D₄₃	1	2	yes	—
287	#101	—	86	4	no	—
288	#100	—	86	4	no	—
289	C₂⁴	—	172	1	no	—
290	#41	—	43	2	no	—
291	#41	—	43	2	no	—
292	#41	—	86	1	no	—
293	#41	—	86	1	no	—
294	C₂×Q₈	—	43	1	no	—
295	C₂×Q₈	—	86	2	no	—
296	C₂×Q₈	—	172	1	no	—
297	C₂×Q₈	—	172	1	no	—
298	C₂×Q₈	—	172	1	no	—
299	C₂×Q₈	—	172	1	no	—
300	C₂×Q₈	—	172	1	no	—
301	C₂×D₄	—	43	1	no	—
302	C₂×D₄	—	86	1	no	—
303	C₂×D₄	—	86	2	no	—
304	C₂×D₄	—	172	1	no	—
305	C₂×D₄	—	172	1	no	—
306	C₂×D₄	—	172	1	no	—
307	C₂×D₄	—	172	1	no	—
308	C₂×D₄	—	172	1	no	—
309	C₂²×C₄	—	86	1	no	—
310	C₂²×C₄	—	172	1	no	—
311	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
312	Q₁₆	—	86	2	no	—
313	Q₁₆	—	86	2	no	—
314	Q₁₆	—	172	4	no	—
315	Q₁₆	—	172	1	no	—
316	Q₁₆	—	172	1	no	—
317	SD₁₆	—	172	4	no	—
318	SD₁₆	—	172	4	no	—
319	D₈	—	86	2	no	—
320	D₈	—	86	2	no	—
321	D₈	—	172	4	no	—
322	D₈	—	172	1	no	—
323	D₈	—	172	1	no	—
324	M₁₆	—	2	2	no	—
325	M₁₆	—	2	2	no	—
326	M₁₆	—	4	1	no	—
327	M₁₆	—	4	1	no	—
328	M₁₆	—	43	2	no	—
329	M₁₆	—	86	1	no	—
330	M₁₆	—	86	2	no	—
331	M₁₆	—	86	2	no	—
332	C₂×C₈	—	4	1	no	—
333	C₂×C₈	—	4	1	no	—
334	C₂×C₈	—	86	1	no	—
335	C₂×C₈	—	86	2	no	—
336	C₂×C₈	—	86	2	no	—
337	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
338	C₂×C₈	C₂×D₁₇₂	1	1	yes	characteristic
339	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
340	C₂×C₈	#10621902	1	1	yes	characteristic
341	C₂×C₈	#10621902	1	1	yes	characteristic
342	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
343	C₁₆	—	86	2	no	—
344	C₁₆	C₂×D₁₇₂	1	2	yes	—
345	C₁₆	C₂×D₁₇₂	1	2	yes	—
346	C₂³	—	86	1	no	—
347	C₂³	—	344	1	no	—
348	C₂³	—	344	1	no	—
349	C₂³	—	172	2	no	—
350	C₂³	—	688	2	no	—
351	C₂³	#13063348	1	1	yes	characteristic
352	Q₈	—	43	2	no	—
353	Q₈	—	86	1	no	—
354	Q₈	—	344	1	no	—
355	Q₈	—	344	1	no	—
356	Q₈	—	172	2	no	—
357	Q₈	—	172	2	no	—
358	D₄	—	43	2	no	—
359	D₄	—	86	2	no	—
360	D₄	—	86	2	no	—
361	D₄	—	86	1	no	—
362	D₄	—	344	1	no	—
363	D₄	—	344	1	no	—
364	D₄	—	172	2	no	—
365	D₄	—	172	2	no	—
366	C₂×C₄	—	86	1	no	—
367	C₂×C₄	—	86	2	no	—
368	C₂×C₄	—	86	2	no	—
369	C₂×C₄	—	344	1	no	—
370	C₂×C₄	—	344	1	no	—
371	C₂×C₄	—	172	2	no	—
372	C₂×C₄	#13063300	1	1	yes	characteristic
373	C₂×C₄	#13063300	1	1	yes	characteristic
374	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
375	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
376	C₂×C₄	#13063348	1	1	yes	characteristic
377	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
378	C₈	—	4	2	no	—
379	C₈	—	4	2	no	—
380	C₈	—	86	2	no	—
381	C₈	#13063300	1	1	yes	characteristic
382	C₈	#13063300	1	1	yes	characteristic
383	C₈	C₂²×D₁₇₂	1	1	yes	characteristic
384	C₈	C₂×#10621902	1	1	yes	characteristic
385	C₂²	—	2	2	no	—
386	C₂²	—	86	2	no	—
387	C₂²	—	344	2	no	—
388	C₂²	—	172	2	no	—
389	C₂²	—	688	2	no	—
390	C₂²	—	688	2	no	—
391	C₂²	—	688	2	no	—
392	C₂²	#14583136	1	1	yes	characteristic
393	C₂²	#14583136	1	1	yes	characteristic
394	C₂²	C₂×#13063348	1	1	yes	characteristic
395	C₄	—	86	2	no	—
396	C₄	—	344	2	no	—
397	C₄	#14583136	1	1	yes	characteristic
398	C₄	#14583136	1	1	yes	characteristic
399	C₄	C₂×#13063300	1	1	yes	characteristic
400	C₄	C₂×D₈×D₄₃	1	1	yes	characteristic
401	C₂	—	2	1	no	—
402	C₂	—	2	1	no	—
403	C₂	—	172	2	no	—
404	C₂	—	688	2	no	—
405	C₂	#19136726	1	2	yes	direct product factor
406	C₂	C₂×#14583136	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#14583136
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₂×C₄₃×#368	C₂
socle	C₂²×C₄₃	#466
prime radical	C₂×#14583170	C₂
hypercenter	C₂×#368	D₄₃
hypocenter	C₄₃	C₂×#2223
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#368

Complements

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

N	H ≅ G/N	type
1. C₂²×#13063270	C₂	semidirect
2. C₂×#14583315	C₂	semidirect
3. C₂×#14583175	C₂	semidirect
5. #19136726	C₂	direct (N × H)
6. C₂×#14582714	C₂	semidirect
7. C₂×#14582711	C₂	semidirect
8. C₂×C₄₃×#368	C₂	semidirect
17. C₂×#13063270	C₂²	semidirect
19. #14583315	C₂²	semidirect
24. #14583175	C₂²	semidirect
29. #14582714	C₂²	semidirect
30. #14582711	C₂²	semidirect
34. C₄₃×#368	C₂²	semidirect
203. C₂×#368	D₄₃	semidirect
208. C₂×C₄₃	#2223	semidirect
235. #368	C₂×D₄₃	semidirect
238. C₄₃	C₂×#2223	semidirect
405. C₂	#19136726	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#13063270	2
C₂×#14583315	2
C₂×#14583175	2
C₂×#14583170	2
#19136726	2
C₂×#14582714	2
C₂×#14582711	2
C₂×C₄₃×#368	2
C₂×#2223	43

Subgroups — C2×#19136726 #25251167

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19136726 #25251167