Subgroups — C₁₉×#10196 #18016155

Order 4864.

546 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3245	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3206	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3141	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1987	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1980	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1502	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1283	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#532	C₂²	1	1	yes	characteristic
9	C₁₉×#532	C₂²	1	1	yes	characteristic
10	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
11	C₁₉×#492	—	2	1	no	—
12	C₁₉×#489	—	2	2	no	—
13	C₁₉×#487	—	2	1	no	—
14	C₁₉×#487	—	2	1	no	—
15	C₁₉×#486	—	2	1	no	—
16	C₁₉×#474	—	2	1	no	—
17	C₁₉×#474	—	2	1	no	—
18	C₁₉×#466	—	2	2	no	—
19	C₁₉×#461	—	2	2	no	—
20	C₁₉×#459	—	2	1	no	—
21	C₁₉×#459	—	2	1	no	—
22	C₁₉×#448	—	2	2	no	—
23	C₁₉×#431	C₂²	1	1	yes	characteristic
24	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×#104	—	2	2	no	—
26	C₁₉×#417	—	2	2	no	—
27	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
28	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₁₉×#340	—	2	2	no	—
30	C₁₉×#327	—	2	2	no	—
31	C₂×#41×C₁₉	—	2	1	no	—
32	C₂×#41×C₁₉	—	2	1	no	—
33	C₂²×Q₈×C₁₉	—	2	1	no	—
34	C₂×SD₁₆×C₁₉	—	2	4	no	—
35	C₂×D₈×C₁₉	—	2	2	no	—
36	C₂×M₁₆×C₁₉	D₄	1	2	yes	—
37	C₂²×C₈×C₁₉	D₄	1	2	yes	—
38	C₁₉×C₄⋊Q₈	—	2	1	no	—
39	C₁₉×C₄⋊Q₈	—	2	1	no	—
40	C₁₉×C₄⋊Q₈	—	2	1	no	—
41	C₁₉×C₄⋊Q₈	D₄	1	2	yes	—
42	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
43	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
44	C₁₉×#127	D₄	1	1	yes	characteristic
45	C₁₉×#127	D₄	1	1	yes	characteristic
46	C₁₉×#124	—	2	1	no	—
47	C₁₉×#124	—	2	1	no	—
48	C₁₉×#121	—	2	1	no	—
49	C₁₉×#121	—	2	1	no	—
50	C₁₉×#121	—	2	1	no	—
51	C₁₉×#121	—	2	1	no	—
52	C₄×D₄×C₁₉	—	2	1	no	—
53	C₄×D₄×C₁₉	—	2	1	no	—
54	C₄×D₄×C₁₉	—	2	1	no	—
55	C₄×D₄×C₁₉	—	2	1	no	—
56	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
57	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
58	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
59	C₂×C₄²×C₁₉	—	2	1	no	—
60	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
61	C₁₉×#107	—	2	2	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×C₄⋊C₈	—	2	1	no	—
65	C₁₉×#104	—	4	4	no	—
66	C₁₉×#103	—	2	4	no	—
67	C₁₉×#103	—	2	4	no	—
68	C₁₉×#102	—	2	4	no	—
69	C₁₉×#102	—	2	2	no	—
70	C₁₉×#102	—	2	2	no	—
71	C₁₉×C₂²⋊C₈	D₄	1	2	yes	—
72	C₁₉×#97	—	2	1	no	—
73	C₄×C₈×C₁₉	—	2	1	no	—
74	C₄×C₈×C₁₉	—	2	1	no	—
75	C₁₉×#95	—	2	1	no	—
76	#41×C₁₉	—	4	2	no	—
77	#41×C₁₉	—	4	2	no	—
78	#41×C₁₉	—	4	2	no	—
79	#41×C₁₉	—	4	2	no	—
80	C₂×Q₈×C₁₉	—	2	1	no	—
81	C₂×Q₈×C₁₉	—	2	2	no	—
82	C₂×Q₈×C₁₉	—	2	1	no	—
83	C₂×Q₈×C₁₉	—	4	1	no	—
84	C₂×Q₈×C₁₉	—	8	2	no	—
85	C₂×D₄×C₁₉	—	2	1	no	—
86	C₂×D₄×C₁₉	—	2	1	no	—
87	C₂×D₄×C₁₉	—	2	1	no	—
88	C₂×D₄×C₁₉	—	2	1	no	—
89	C₂×D₄×C₁₉	—	2	1	no	—
90	C₂×D₄×C₁₉	—	2	1	no	—
91	C₂×D₄×C₁₉	—	4	1	no	—
92	C₂×D₄×C₁₉	—	4	1	no	—
93	C₂²×C₄×C₁₉	—	4	1	no	—
94	C₂²×C₄×C₁₉	—	4	1	no	—
95	C₂²×C₄×C₁₉	—	4	1	no	—
96	C₂²×C₄×C₁₉	—	4	1	no	—
97	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
100	SD₁₆×C₁₉	—	8	4	no	—
101	D₈×C₁₉	—	8	2	no	—
102	M₁₆×C₁₉	—	2	2	no	—
103	M₁₆×C₁₉	—	2	2	no	—
104	C₂×C₈×C₁₉	—	2	2	no	—
105	C₂×C₈×C₁₉	—	2	2	no	—
106	C₂×C₈×C₁₉	—	2	2	no	—
107	C₂×C₈×C₁₉	—	4	2	no	—
108	C₄⋊C₄×C₁₉	—	2	2	no	—
109	C₄⋊C₄×C₁₉	—	2	2	no	—
110	C₄⋊C₄×C₁₉	—	2	1	no	—
111	C₄⋊C₄×C₁₉	—	2	1	no	—
112	C₄⋊C₄×C₁₉	—	2	1	no	—
113	C₄⋊C₄×C₁₉	—	2	2	no	—
114	C₄⋊C₄×C₁₉	—	2	1	no	—
115	C₄⋊C₄×C₁₉	—	4	1	no	—
116	C₄⋊C₄×C₁₉	—	4	1	no	—
117	C₄⋊C₄×C₁₉	—	4	1	no	—
118	C₂²⋊C₄×C₁₉	—	4	1	no	—
119	C₂²⋊C₄×C₁₉	—	4	1	no	—
120	C₂²⋊C₄×C₁₉	—	4	1	no	—
121	C₂²⋊C₄×C₁₉	—	4	1	no	—
122	C₄²×C₁₉	—	4	2	no	—
123	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
124	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₁₉	#41	1	1	yes	characteristic
127	#10196	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
128	C₂³×C₁₉	—	4	1	no	—
129	C₂³×C₁₉	—	4	1	no	—
130	C₂³×C₁₉	#127	1	1	yes	characteristic
131	Q₈×C₁₉	—	4	4	no	—
132	Q₈×C₁₉	—	4	2	no	—
133	Q₈×C₁₉	—	4	2	no	—
134	Q₈×C₁₉	—	8	2	no	—
135	D₄×C₁₉	—	4	2	no	—
136	D₄×C₁₉	—	4	2	no	—
137	D₄×C₁₉	—	4	1	no	—
138	D₄×C₁₉	—	4	1	no	—
139	D₄×C₁₉	—	4	1	no	—
140	D₄×C₁₉	—	4	1	no	—
141	D₄×C₁₉	—	4	2	no	—
142	D₄×C₁₉	—	8	1	no	—
143	D₄×C₁₉	—	8	1	no	—
144	D₄×C₁₉	—	8	1	no	—
145	D₄×C₁₉	—	8	1	no	—
146	D₄×C₁₉	—	8	1	no	—
147	C₂×C₄×C₁₉	—	2	1	no	—
148	C₂×C₄×C₁₉	—	2	1	no	—
149	C₂×C₄×C₁₉	—	4	1	no	—
150	C₂×C₄×C₁₉	—	4	2	no	—
151	C₂×C₄×C₁₉	—	4	1	no	—
152	C₂×C₄×C₁₉	—	4	1	no	—
153	C₂×C₄×C₁₉	—	4	2	no	—
154	C₂×C₄×C₁₉	—	8	1	no	—
155	C₂×C₄×C₁₉	—	8	2	no	—
156	C₂×C₄×C₁₉	—	8	1	no	—
157	C₂×C₄×C₁₉	—	8	2	no	—
158	C₂×C₄×C₁₉	—	8	2	no	—
159	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
163	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
164	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
165	C₂×C₄×C₁₉	#135	1	2	yes	—
166	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
167	C₈×C₁₉	—	4	2	no	—
168	C₈×C₁₉	—	4	2	no	—
169	C₈×C₁₉	—	4	2	no	—
170	#3245	C₂×C₁₉	1	1	yes	characteristic
171	#3206	C₂×C₁₉	1	1	yes	characteristic, complemented
172	#3141	C₂×C₁₉	1	1	yes	characteristic, complemented
173	#1987	C₂×C₁₉	1	1	yes	characteristic, complemented
174	#1980	C₂×C₁₉	1	1	yes	characteristic, complemented
175	#1502	C₂×C₁₉	1	1	yes	characteristic, complemented
176	#1283	C₂×C₁₉	1	1	yes	characteristic, complemented
177	C₂²×C₁₉	—	2	1	no	—
178	C₂²×C₁₉	—	2	1	no	—
179	C₂²×C₁₉	—	8	1	no	—
180	C₂²×C₁₉	—	8	1	no	—
181	C₂²×C₁₉	—	8	1	no	—
182	C₂²×C₁₉	—	8	1	no	—
183	C₂²×C₁₉	—	8	1	no	—
184	C₂²×C₁₉	—	8	1	no	—
185	C₂²×C₁₉	#392	1	1	yes	characteristic
186	C₂²×C₁₉	#495	1	1	yes	characteristic
187	C₂²×C₁₉	#496	1	1	yes	characteristic
188	C₄×C₁₉	—	2	1	no	—
189	C₄×C₁₉	—	2	1	no	—
190	C₄×C₁₉	—	2	1	no	—
191	C₄×C₁₉	—	8	2	no	—
192	C₄×C₁₉	—	8	2	no	—
193	C₄×C₁₉	—	8	1	no	—
194	C₄×C₁₉	—	8	1	no	—
195	C₄×C₁₉	#449	1	2	yes	—
196	C₄×C₁₉	#455	1	1	yes	characteristic
197	C₄×C₁₉	#456	1	1	yes	characteristic
198	C₄×C₁₉	#463	1	2	yes	—
199	#532	C₂²×C₁₉	1	1	yes	characteristic
200	#532	C₂²×C₁₉	1	1	yes	characteristic
201	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
202	#492	—	2	1	no	—
203	#489	—	2	2	no	—
204	#487	—	2	1	no	—
205	#487	—	2	1	no	—
206	#486	—	2	1	no	—
207	#474	—	2	1	no	—
208	#474	—	2	1	no	—
209	#466	—	2	2	no	—
210	#461	—	2	2	no	—
211	#459	—	2	1	no	—
212	#459	—	2	1	no	—
213	#448	—	2	2	no	—
214	#431	C₂²×C₁₉	1	1	yes	characteristic
215	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
216	C₂×#104	—	2	2	no	—
217	#417	—	2	2	no	—
218	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
219	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
220	#340	—	2	2	no	—
221	#327	—	2	2	no	—
222	C₂×C₁₉	—	2	1	no	—
223	C₂×C₁₉	—	2	1	no	—
224	C₂×C₁₉	—	16	1	no	—
225	C₂×C₁₉	—	16	1	no	—
226	C₂×C₁₉	#2007	1	1	yes	characteristic
227	C₂×C₁₉	#2008	1	1	yes	characteristic
228	C₂×C₁₉	#2012	1	1	yes	characteristic
229	C₂×#41	—	2	1	no	—
230	C₂×#41	—	2	1	no	—
231	C₂²×Q₈	—	2	1	no	—
232	C₂×SD₁₆	—	2	4	no	—
233	C₂×D₈	—	2	2	no	—
234	C₂×M₁₆	D₄×C₁₉	1	2	yes	—
235	C₂²×C₈	D₄×C₁₉	1	2	yes	—
236	C₄⋊Q₈	—	2	1	no	—
237	C₄⋊Q₈	—	2	1	no	—
238	C₄⋊Q₈	—	2	1	no	—
239	C₄⋊Q₈	D₄×C₁₉	1	2	yes	—
240	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
241	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
242	#127	D₄×C₁₉	1	1	yes	characteristic
243	#127	D₄×C₁₉	1	1	yes	characteristic
244	#124	—	2	1	no	—
245	#124	—	2	1	no	—
246	#121	—	2	1	no	—
247	#121	—	2	1	no	—
248	#121	—	2	1	no	—
249	#121	—	2	1	no	—
250	C₄×D₄	—	2	1	no	—
251	C₄×D₄	—	2	1	no	—
252	C₄×D₄	—	2	1	no	—
253	C₄×D₄	—	2	1	no	—
254	C₂×C₄⋊C₄	—	2	1	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	—	2	1	no	—
257	C₂×C₄²	—	2	1	no	—
258	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
259	#107	—	2	2	no	—
260	C₄⋊C₈	—	2	1	no	—
261	C₄⋊C₈	—	2	1	no	—
262	C₄⋊C₈	—	2	1	no	—
263	#104	—	4	4	no	—
264	#103	—	2	4	no	—
265	#103	—	2	4	no	—
266	#102	—	2	4	no	—
267	#102	—	2	2	no	—
268	#102	—	2	2	no	—
269	C₂²⋊C₈	D₄×C₁₉	1	2	yes	—
270	#97	—	2	1	no	—
271	C₄×C₈	—	2	1	no	—
272	C₄×C₈	—	2	1	no	—
273	#95	—	2	1	no	—
274	C₁₉	#10196	1	1	yes	characteristic, direct product factor, Sylow
275	#41	—	4	2	no	—
276	#41	—	4	2	no	—
277	#41	—	4	2	no	—
278	#41	—	4	2	no	—
279	C₂×Q₈	—	2	1	no	—
280	C₂×Q₈	—	2	2	no	—
281	C₂×Q₈	—	2	1	no	—
282	C₂×Q₈	—	4	1	no	—
283	C₂×Q₈	—	8	2	no	—
284	C₂×D₄	—	2	1	no	—
285	C₂×D₄	—	2	1	no	—
286	C₂×D₄	—	2	1	no	—
287	C₂×D₄	—	2	1	no	—
288	C₂×D₄	—	2	1	no	—
289	C₂×D₄	—	2	1	no	—
290	C₂×D₄	—	4	1	no	—
291	C₂×D₄	—	4	1	no	—
292	C₂²×C₄	—	4	1	no	—
293	C₂²×C₄	—	4	1	no	—
294	C₂²×C₄	—	4	1	no	—
295	C₂²×C₄	—	4	1	no	—
296	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
297	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
298	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
299	SD₁₆	—	8	4	no	—
300	D₈	—	8	2	no	—
301	M₁₆	—	2	2	no	—
302	M₁₆	—	2	2	no	—
303	C₂×C₈	—	2	2	no	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	4	2	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	2	1	no	—
310	C₄⋊C₄	—	2	1	no	—
311	C₄⋊C₄	—	2	1	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	—	2	1	no	—
314	C₄⋊C₄	—	4	1	no	—
315	C₄⋊C₄	—	4	1	no	—
316	C₄⋊C₄	—	4	1	no	—
317	C₂²⋊C₄	—	4	1	no	—
318	C₂²⋊C₄	—	4	1	no	—
319	C₂²⋊C₄	—	4	1	no	—
320	C₂²⋊C₄	—	4	1	no	—
321	C₄²	—	4	2	no	—
322	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
323	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
324	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
325	C₄²	#41×C₁₉	1	1	yes	characteristic
326	C₂³	—	4	1	no	—
327	C₂³	—	4	1	no	—
328	C₂³	C₁₉×#127	1	1	yes	characteristic
329	Q₈	—	4	4	no	—
330	Q₈	—	4	2	no	—
331	Q₈	—	4	2	no	—
332	Q₈	—	8	2	no	—
333	D₄	—	4	2	no	—
334	D₄	—	4	2	no	—
335	D₄	—	4	1	no	—
336	D₄	—	4	1	no	—
337	D₄	—	4	1	no	—
338	D₄	—	4	1	no	—
339	D₄	—	4	2	no	—
340	D₄	—	8	1	no	—
341	D₄	—	8	1	no	—
342	D₄	—	8	1	no	—
343	D₄	—	8	1	no	—
344	D₄	—	8	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	1	no	—
347	C₂×C₄	—	4	1	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	8	2	no	—
353	C₂×C₄	—	8	1	no	—
354	C₂×C₄	—	8	1	no	—
355	C₂×C₄	—	8	2	no	—
356	C₂×C₄	—	8	2	no	—
357	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
358	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
359	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
360	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
361	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
362	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
363	C₂×C₄	C₁₉×#135	1	2	yes	—
364	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
365	C₈	—	4	2	no	—
366	C₈	—	4	2	no	—
367	C₈	—	4	2	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	8	1	no	—
371	C₂²	—	8	1	no	—
372	C₂²	—	8	1	no	—
373	C₂²	—	8	1	no	—
374	C₂²	—	8	1	no	—
375	C₂²	—	8	1	no	—
376	C₂²	C₁₉×#392	1	1	yes	characteristic
377	C₂²	C₁₉×#495	1	1	yes	characteristic
378	C₂²	C₁₉×#496	1	1	yes	characteristic
379	C₄	—	2	1	no	—
380	C₄	—	2	1	no	—
381	C₄	—	2	1	no	—
382	C₄	—	8	2	no	—
383	C₄	—	8	2	no	—
384	C₄	—	8	1	no	—
385	C₄	—	8	1	no	—
386	C₄	C₁₉×#449	1	2	yes	—
387	C₄	C₁₉×#455	1	1	yes	characteristic
388	C₄	C₁₉×#456	1	1	yes	characteristic
389	C₄	C₁₉×#463	1	2	yes	—
390	C₂	—	2	1	no	—
391	C₂	—	2	1	no	—
392	C₂	—	16	1	no	—
393	C₂	—	16	1	no	—
394	C₂	C₁₉×#2007	1	1	yes	characteristic
395	C₂	C₁₉×#2008	1	1	yes	characteristic
396	C₂	C₁₉×#2012	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#392
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₁₉×#3245	C₂
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#3206	C₂	semidirect
3. C₁₉×#3141	C₂	semidirect
4. C₁₉×#1987	C₂	semidirect
5. C₁₉×#1980	C₂	semidirect
6. C₁₉×#1502	C₂	semidirect
7. C₁₉×#1283	C₂	semidirect
127. #10196	C₁₉	direct (N × H)
171. #3206	C₂×C₁₉	semidirect
172. #3141	C₂×C₁₉	semidirect
173. #1987	C₂×C₁₉	semidirect
174. #1980	C₂×C₁₉	semidirect
175. #1502	C₂×C₁₉	semidirect
176. #1283	C₂×C₁₉	semidirect
274. C₁₉	#10196	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₉×#3245	2
C₁₉×#3206	2
C₁₉×#3141	2
C₁₉×#1987	2
C₁₉×#1980	2
C₁₉×#1502	2
C₁₉×#1283	2
#10196	19

Subgroups — C19×#10196 #18016155

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10196 #18016155