Subgroups — C₁₉×#13030 #18018989

Order 4864.

476 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3414	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2952	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#2145	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#360	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1976	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1386	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1378	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
10	C₁₉×#520	—	2	1	no	—
11	C₁₉×#510	—	2	1	no	—
12	C₁₉×#510	C₄	1	2	yes	complemented
13	C₁₉×#509	—	2	1	no	—
14	C₁₉×#509	C₄	1	2	yes	complemented
15	C₁₉×#508	—	2	2	no	—
16	C₂×C₁₉×M₃₂	C₂²	1	1	yes	characteristic
17	C₂×C₁₉×M₃₂	C₂²	1	1	yes	characteristic
18	C₁₉×#442	—	2	1	no	—
19	C₁₉×#441	—	2	1	no	—
20	C₄×SD₁₆×C₁₉	—	2	2	no	—
21	C₁₉×#427	C₂²	1	1	yes	characteristic
22	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic
23	C₁₉×#421	—	2	1	no	—
24	C₁₉×#417	—	2	1	no	—
25	C₁₉×#410	—	2	1	no	—
26	C₁₉×#405	C₂²	1	1	yes	characteristic
27	C₁₉×#360	—	2	2	no	—
28	C₁₉×#360	—	2	2	no	—
29	C₂×#41×C₁₉	—	2	1	no	—
30	C₂×#41×C₁₉	—	2	1	no	—
31	C₁₉×#135	—	2	1	no	—
32	C₁₉×#135	—	2	1	no	—
33	C₁₉×#135	—	2	1	no	—
34	C₁₉×#135	—	2	1	no	—
35	C₁₉×#135	—	2	1	no	—
36	C₁₉×#135	—	2	1	no	—
37	C₁₉×#135	C₂×C₄	1	2	yes	—
38	C₁₉×#135	D₄	1	2	yes	—
39	C₂×Q₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic, complemented
40	C₂×Q₁₆×C₁₉	D₄	1	1	yes	characteristic
41	C₂×SD₁₆×C₁₉	—	2	1	no	—
42	C₂×SD₁₆×C₁₉	—	2	1	no	—
43	C₂×D₈×C₁₉	C₂×C₄	1	1	yes	characteristic, complemented
44	C₂×D₈×C₁₉	D₄	1	1	yes	characteristic
45	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
46	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
47	C₄×Q₈×C₁₉	—	2	2	no	—
48	C₄×D₄×C₁₉	—	2	2	no	—
49	C₄×D₄×C₁₉	—	4	2	no	—
50	C₁₉×#117	—	2	1	no	—
51	C₁₉×#117	—	4	1	no	—
52	C₁₉×#117	D₄	1	1	yes	characteristic
53	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
54	C₂×C₄⋊C₄×C₁₉	—	4	1	no	—
55	C₁₉×Q₃₂	—	2	2	no	—
56	C₁₉×SD₃₂	—	2	2	no	—
57	C₁₉×SD₃₂	—	2	2	no	—
58	C₁₉×D₁₆	—	2	2	no	—
59	C₁₉×M₃₂	—	2	1	no	—
60	C₁₉×M₃₂	—	2	1	no	—
61	C₁₉×M₃₂	—	2	1	no	—
62	C₁₉×M₃₂	C₂×C₄	1	2	yes	complemented
63	C₂×C₁₆×C₁₉	—	2	1	no	—
64	C₂×C₁₆×C₁₉	—	2	1	no	—
65	C₁₉×#107	—	2	1	no	—
66	C₁₉×#106	—	2	1	no	—
67	C₁₉×#106	—	2	1	no	—
68	C₁₉×#106	D₄	1	2	yes	—
69	C₁₉×#104	—	4	2	no	—
70	C₁₉×#103	—	2	2	no	—
71	C₁₉×#102	—	2	2	no	—
72	C₁₉×#99	—	4	2	no	—
73	C₁₉×#97	—	2	1	no	—
74	C₄×C₈×C₁₉	—	2	1	no	—
75	#41×C₁₉	—	2	2	no	—
76	#41×C₁₉	—	2	2	no	—
77	#41×C₁₉	—	4	1	no	—
78	#41×C₁₉	—	4	1	no	—
79	#41×C₁₉	—	4	1	no	—
80	#41×C₁₉	—	4	1	no	—
81	#41×C₁₉	—	4	1	no	—
82	#41×C₁₉	—	4	1	no	—
83	C₂×Q₈×C₁₉	—	2	1	no	—
84	C₂×Q₈×C₁₉	—	2	1	no	—
85	C₂×D₄×C₁₉	—	2	1	no	—
86	C₂×D₄×C₁₉	—	2	1	no	—
87	C₂×D₄×C₁₉	—	4	1	no	—
88	C₂×D₄×C₁₉	—	4	1	no	—
89	C₂²×C₄×C₁₉	—	4	2	no	—
90	C₂²×C₄×C₁₉	—	4	1	no	—
91	C₂²×C₄×C₁₉	—	4	1	no	—
92	C₂²×C₄×C₁₉	—	4	1	no	—
93	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
94	Q₁₆×C₁₉	—	2	1	no	—
95	Q₁₆×C₁₉	—	2	1	no	—
96	Q₁₆×C₁₉	—	2	1	no	—
97	Q₁₆×C₁₉	C₂²⋊C₄	1	2	yes	—
98	SD₁₆×C₁₉	—	2	2	no	—
99	SD₁₆×C₁₉	—	2	2	no	—
100	SD₁₆×C₁₉	—	4	1	no	—
101	SD₁₆×C₁₉	—	4	1	no	—
102	D₈×C₁₉	—	2	1	no	—
103	D₈×C₁₉	—	2	1	no	—
104	D₈×C₁₉	—	2	1	no	—
105	D₈×C₁₉	C₂²⋊C₄	1	2	yes	—
106	M₁₆×C₁₉	—	2	1	no	—
107	M₁₆×C₁₉	—	2	1	no	—
108	C₂×C₈×C₁₉	—	2	1	no	—
109	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
113	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
114	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
115	C₄⋊C₄×C₁₉	—	2	1	no	—
116	C₄⋊C₄×C₁₉	—	2	2	no	—
117	C₄⋊C₄×C₁₉	—	4	2	no	—
118	C₄⋊C₄×C₁₉	—	4	1	no	—
119	C₄⋊C₄×C₁₉	—	4	1	no	—
120	C₂²⋊C₄×C₁₉	—	4	2	no	—
121	C₂²⋊C₄×C₁₉	—	4	1	no	—
122	C₂²⋊C₄×C₁₉	D₈	1	2	yes	—
123	C₄²×C₁₉	—	2	1	no	—
124	C₄²×C₁₉	—	4	2	no	—
125	C₄²×C₁₉	—	4	1	no	—
126	C₁₆×C₁₉	—	2	2	no	—
127	C₁₆×C₁₉	—	4	1	no	—
128	#13030	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
129	C₂³×C₁₉	—	4	1	no	—
130	C₂³×C₁₉	—	4	1	no	—
131	C₂³×C₁₉	C₂×D₈	1	1	yes	characteristic
132	Q₈×C₁₉	—	2	2	no	—
133	Q₈×C₁₉	—	4	1	no	—
134	Q₈×C₁₉	—	4	1	no	—
135	Q₈×C₁₉	—	4	1	no	—
136	D₄×C₁₉	—	2	2	no	—
137	D₄×C₁₉	—	4	2	no	—
138	D₄×C₁₉	—	4	2	no	—
139	D₄×C₁₉	—	4	1	no	—
140	D₄×C₁₉	—	4	1	no	—
141	D₄×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	8	1	no	—
143	D₄×C₁₉	—	8	1	no	—
144	C₂×C₄×C₁₉	—	2	2	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	2	no	—
147	C₂×C₄×C₁₉	—	4	2	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	8	1	no	—
151	C₂×C₄×C₁₉	—	8	1	no	—
152	C₂×C₄×C₁₉	—	8	1	no	—
153	C₂×C₄×C₁₉	—	16	2	no	—
154	C₂×C₄×C₁₉	—	16	1	no	—
155	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
159	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
160	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
161	C₈×C₁₉	—	4	1	no	—
162	C₈×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
163	C₈×C₁₉	C₄×D₄	1	1	yes	characteristic
164	C₈×C₁₉	#121	1	1	yes	characteristic
165	C₈×C₁₉	#123	1	1	yes	characteristic
166	#3414	C₂×C₁₉	1	1	yes	characteristic
167	#2952	C₂×C₁₉	1	1	yes	characteristic, complemented
168	#2145	C₂×C₁₉	1	1	yes	characteristic, complemented
169	C₂×#360	C₂×C₁₉	1	1	yes	characteristic, complemented
170	#1976	C₂×C₁₉	1	1	yes	characteristic, complemented
171	#1386	C₂×C₁₉	1	1	yes	characteristic, complemented
172	#1378	C₂×C₁₉	1	1	yes	characteristic, complemented
173	C₂²×C₁₉	—	4	1	no	—
174	C₂²×C₁₉	—	4	2	no	—
175	C₂²×C₁₉	—	8	1	no	—
176	C₂²×C₁₉	—	8	1	no	—
177	C₂²×C₁₉	—	8	1	no	—
178	C₂²×C₁₉	—	16	1	no	—
179	C₂²×C₁₉	C₄×D₈	1	1	yes	characteristic
180	C₂²×C₁₉	#447	1	1	yes	characteristic
181	C₂²×C₁₉	#459	1	1	yes	characteristic
182	C₄×C₁₉	—	4	2	no	—
183	C₄×C₁₉	—	4	2	no	—
184	C₄×C₁₉	—	8	2	no	—
185	C₄×C₁₉	—	8	1	no	—
186	C₄×C₁₉	—	16	1	no	—
187	C₄×C₁₉	#386	1	1	yes	characteristic
188	C₄×C₁₉	#442	1	1	yes	characteristic
189	C₄×C₁₉	#449	1	1	yes	characteristic
190	C₄×C₁₉	#463	1	1	yes	characteristic
191	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
192	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
193	#520	—	2	1	no	—
194	#510	—	2	1	no	—
195	#510	C₄×C₁₉	1	2	yes	complemented
196	#509	—	2	1	no	—
197	#509	C₄×C₁₉	1	2	yes	complemented
198	#508	—	2	2	no	—
199	C₂×M₃₂	C₂²×C₁₉	1	1	yes	characteristic
200	C₂×M₃₂	C₂²×C₁₉	1	1	yes	characteristic
201	#442	—	2	1	no	—
202	#441	—	2	1	no	—
203	C₄×SD₁₆	—	2	2	no	—
204	#427	C₂²×C₁₉	1	1	yes	characteristic
205	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic
206	#421	—	2	1	no	—
207	#417	—	2	1	no	—
208	#410	—	2	1	no	—
209	#405	C₂²×C₁₉	1	1	yes	characteristic
210	#360	—	2	2	no	—
211	#360	—	2	2	no	—
212	C₂×C₁₉	—	2	1	no	—
213	C₂×C₁₉	—	2	1	no	—
214	C₂×C₁₉	—	2	1	no	—
215	C₂×C₁₉	—	8	2	no	—
216	C₂×C₁₉	—	16	1	no	—
217	C₂×C₁₉	#1879	1	1	yes	characteristic
218	C₂×#41	—	2	1	no	—
219	C₂×#41	—	2	1	no	—
220	#135	—	2	1	no	—
221	#135	—	2	1	no	—
222	#135	—	2	1	no	—
223	#135	—	2	1	no	—
224	#135	—	2	1	no	—
225	#135	—	2	1	no	—
226	#135	C₂×C₄×C₁₉	1	2	yes	—
227	#135	D₄×C₁₉	1	2	yes	—
228	C₂×Q₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic, complemented
229	C₂×Q₁₆	D₄×C₁₉	1	1	yes	characteristic
230	C₂×SD₁₆	—	2	1	no	—
231	C₂×SD₁₆	—	2	1	no	—
232	C₂×D₈	C₂×C₄×C₁₉	1	1	yes	characteristic, complemented
233	C₂×D₈	D₄×C₁₉	1	1	yes	characteristic
234	C₂×M₁₆	D₄×C₁₉	1	1	yes	characteristic
235	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
236	C₄×Q₈	—	2	2	no	—
237	C₄×D₄	—	2	2	no	—
238	C₄×D₄	—	4	2	no	—
239	#117	—	2	1	no	—
240	#117	—	4	1	no	—
241	#117	D₄×C₁₉	1	1	yes	characteristic
242	C₂×C₄⋊C₄	—	2	1	no	—
243	C₂×C₄⋊C₄	—	4	1	no	—
244	Q₃₂	—	2	2	no	—
245	SD₃₂	—	2	2	no	—
246	SD₃₂	—	2	2	no	—
247	D₁₆	—	2	2	no	—
248	M₃₂	—	2	1	no	—
249	M₃₂	—	2	1	no	—
250	M₃₂	—	2	1	no	—
251	M₃₂	C₂×C₄×C₁₉	1	2	yes	complemented
252	C₂×C₁₆	—	2	1	no	—
253	C₂×C₁₆	—	2	1	no	—
254	#107	—	2	1	no	—
255	#106	—	2	1	no	—
256	#106	—	2	1	no	—
257	#106	D₄×C₁₉	1	2	yes	—
258	#104	—	4	2	no	—
259	#103	—	2	2	no	—
260	#102	—	2	2	no	—
261	#99	—	4	2	no	—
262	#97	—	2	1	no	—
263	C₄×C₈	—	2	1	no	—
264	C₁₉	#13030	1	1	yes	characteristic, direct product factor, Sylow
265	#41	—	2	2	no	—
266	#41	—	2	2	no	—
267	#41	—	4	1	no	—
268	#41	—	4	1	no	—
269	#41	—	4	1	no	—
270	#41	—	4	1	no	—
271	#41	—	4	1	no	—
272	#41	—	4	1	no	—
273	C₂×Q₈	—	2	1	no	—
274	C₂×Q₈	—	2	1	no	—
275	C₂×D₄	—	2	1	no	—
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	4	1	no	—
278	C₂×D₄	—	4	1	no	—
279	C₂²×C₄	—	4	2	no	—
280	C₂²×C₄	—	4	1	no	—
281	C₂²×C₄	—	4	1	no	—
282	C₂²×C₄	—	4	1	no	—
283	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
284	Q₁₆	—	2	1	no	—
285	Q₁₆	—	2	1	no	—
286	Q₁₆	—	2	1	no	—
287	Q₁₆	C₂²⋊C₄×C₁₉	1	2	yes	—
288	SD₁₆	—	2	2	no	—
289	SD₁₆	—	2	2	no	—
290	SD₁₆	—	4	1	no	—
291	SD₁₆	—	4	1	no	—
292	D₈	—	2	1	no	—
293	D₈	—	2	1	no	—
294	D₈	—	2	1	no	—
295	D₈	C₂²⋊C₄×C₁₉	1	2	yes	—
296	M₁₆	—	2	1	no	—
297	M₁₆	—	2	1	no	—
298	C₂×C₈	—	2	1	no	—
299	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
300	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
301	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
302	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
303	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
304	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
305	C₄⋊C₄	—	2	1	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	4	2	no	—
308	C₄⋊C₄	—	4	1	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₂²⋊C₄	—	4	2	no	—
311	C₂²⋊C₄	—	4	1	no	—
312	C₂²⋊C₄	D₈×C₁₉	1	2	yes	—
313	C₄²	—	2	1	no	—
314	C₄²	—	4	2	no	—
315	C₄²	—	4	1	no	—
316	C₁₆	—	2	2	no	—
317	C₁₆	—	4	1	no	—
318	C₂³	—	4	1	no	—
319	C₂³	—	4	1	no	—
320	C₂³	C₂×D₈×C₁₉	1	1	yes	characteristic
321	Q₈	—	2	2	no	—
322	Q₈	—	4	1	no	—
323	Q₈	—	4	1	no	—
324	Q₈	—	4	1	no	—
325	D₄	—	2	2	no	—
326	D₄	—	4	2	no	—
327	D₄	—	4	2	no	—
328	D₄	—	4	1	no	—
329	D₄	—	4	1	no	—
330	D₄	—	4	1	no	—
331	D₄	—	8	1	no	—
332	D₄	—	8	1	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	8	1	no	—
340	C₂×C₄	—	8	1	no	—
341	C₂×C₄	—	8	1	no	—
342	C₂×C₄	—	16	2	no	—
343	C₂×C₄	—	16	1	no	—
344	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
345	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
346	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
347	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
348	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
349	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
350	C₈	—	4	1	no	—
351	C₈	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
352	C₈	C₄×D₄×C₁₉	1	1	yes	characteristic
353	C₈	C₁₉×#121	1	1	yes	characteristic
354	C₈	C₁₉×#123	1	1	yes	characteristic
355	C₂²	—	4	1	no	—
356	C₂²	—	4	2	no	—
357	C₂²	—	8	1	no	—
358	C₂²	—	8	1	no	—
359	C₂²	—	8	1	no	—
360	C₂²	—	16	1	no	—
361	C₂²	C₄×D₈×C₁₉	1	1	yes	characteristic
362	C₂²	C₁₉×#447	1	1	yes	characteristic
363	C₂²	C₁₉×#459	1	1	yes	characteristic
364	C₄	—	4	2	no	—
365	C₄	—	4	2	no	—
366	C₄	—	8	2	no	—
367	C₄	—	8	1	no	—
368	C₄	—	16	1	no	—
369	C₄	C₁₉×#386	1	1	yes	characteristic
370	C₄	C₁₉×#442	1	1	yes	characteristic
371	C₄	C₁₉×#449	1	1	yes	characteristic
372	C₄	C₁₉×#463	1	1	yes	characteristic
373	C₂	—	2	1	no	—
374	C₂	—	2	1	no	—
375	C₂	—	2	1	no	—
376	C₂	—	8	2	no	—
377	C₂	—	16	1	no	—
378	C₂	C₁₉×#1879	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₁₉	#1879
commutator	C₂×C₈	C₂²×C₄×C₁₉
Frattini, cosocle	C₂²×C₈	C₂³×C₁₉
prime radical	C₁₉×#3414	C₂
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₁₉ ◁ C₂²×C₄×C₁₉ ◁ C₁₉×#405 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2952	C₂	semidirect
3. C₁₉×#2145	C₂	semidirect
4. C₂×C₁₉×#360	C₂	semidirect
5. C₁₉×#1976	C₂	semidirect
6. C₁₉×#1386	C₂	semidirect
7. C₁₉×#1378	C₂	semidirect
12. C₁₉×#510	C₄	semidirect
14. C₁₉×#509	C₄	semidirect
39. C₂×Q₁₆×C₁₉	C₂×C₄	semidirect
43. C₂×D₈×C₁₉	C₂×C₄	semidirect
62. C₁₉×M₃₂	C₂×C₄	semidirect
128. #13030	C₁₉	direct (N × H)
167. #2952	C₂×C₁₉	semidirect
168. #2145	C₂×C₁₉	semidirect
169. C₂×#360	C₂×C₁₉	semidirect
170. #1976	C₂×C₁₉	semidirect
171. #1386	C₂×C₁₉	semidirect
172. #1378	C₂×C₁₉	semidirect
195. #510	C₄×C₁₉	semidirect
197. #509	C₄×C₁₉	semidirect
228. C₂×Q₁₆	C₂×C₄×C₁₉	semidirect
232. C₂×D₈	C₂×C₄×C₁₉	semidirect
251. M₃₂	C₂×C₄×C₁₉	semidirect
264. C₁₉	#13030	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×#3414	2
C₁₉×#2952	2
C₁₉×#2145	2
C₂×C₁₉×#360	2
C₁₉×#1976	2
C₁₉×#1386	2
C₁₉×#1378	2
#13030	19

Subgroups — C19×#13030 #18018989

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13030 #18018989