Subgroups — C₁₉×#13320 #18019279

Order 4864.

540 conjugacy classes of subgroups.

The subgroup lattice has 388 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×SD₃₂	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₉×#472	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#3059	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#362	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#2140	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₉×#350	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1382	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×AGL(1,ℤ/8)	—	2	1	no	—
9	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic
10	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic
11	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
12	C₁₉×#536	—	2	1	no	—
13	C₂×C₁₉×SD₃₂	—	2	2	no	—
14	C₂×C₁₉×SD₃₂	—	2	2	no	—
15	C₂×C₁₉×SD₃₂	—	2	2	no	—
16	C₂×C₁₉×M₃₂	C₂²	1	1	yes	characteristic
17	C₂²×C₁₆×C₁₉	C₂²	1	1	yes	characteristic
18	C₁₉×#472	—	2	2	no	—
19	C₁₉×#472	—	2	2	no	—
20	C₁₉×#470	—	2	2	no	—
21	C₁₉×#467	—	2	2	no	—
22	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
23	C₁₉×#427	C₂²	1	1	yes	characteristic
24	C₁₉×#419	—	2	1	no	—
25	C₂×C₁₉×#100	—	2	1	no	—
26	C₁₉×#362	—	2	2	no	—
27	C₁₉×#357	—	2	2	no	—
28	C₁₉×#350	—	2	2	no	—
29	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
30	C₂²×Q₈×C₁₉	—	2	1	no	—
31	C₂²×D₄×C₁₉	—	2	1	no	—
32	C₁₉×AGL(1,ℤ/8)	—	2	4	no	—
33	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
34	C₂×Q₁₆×C₁₉	—	2	1	no	—
35	C₂×Q₁₆×C₁₉	—	2	1	no	—
36	C₂×Q₁₆×C₁₉	—	2	1	no	—
37	C₂×Q₁₆×C₁₉	—	2	1	no	—
38	C₂×Q₁₆×C₁₉	—	2	1	no	—
39	C₂×Q₁₆×C₁₉	D₄	1	2	yes	—
40	C₂×SD₁₆×C₁₉	—	4	1	no	—
41	C₂×D₈×C₁₉	—	2	1	no	—
42	C₂×D₈×C₁₉	—	2	1	no	—
43	C₂×D₈×C₁₉	—	2	1	no	—
44	C₂×D₈×C₁₉	—	2	1	no	—
45	C₂×D₈×C₁₉	—	2	1	no	—
46	C₂×D₈×C₁₉	—	4	1	no	—
47	C₂×D₈×C₁₉	D₄	1	2	yes	—
48	C₁₉×#131	—	2	1	no	—
49	C₁₉×#131	—	2	1	no	—
50	C₁₉×#131	—	2	1	no	—
51	C₁₉×#131	—	2	1	no	—
52	C₂×M₁₆×C₁₉	—	2	1	no	—
53	C₂×M₁₆×C₁₉	—	2	1	no	—
54	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
55	C₂²×C₈×C₁₉	—	2	1	no	—
56	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
57	C₁₉×C₄⋊Q₈	—	4	1	no	—
58	C₁₉×#124	—	4	1	no	—
59	C₁₉×#123	—	4	2	no	—
60	C₁₉×C₂²⋊Q₈	—	2	4	no	—
61	C₁₉×#117	—	2	1	no	—
62	C₁₉×SD₃₂	—	2	8	no	—
63	C₁₉×M₃₂	—	2	1	no	—
64	C₁₉×M₃₂	—	2	1	no	—
65	C₂×C₁₆×C₁₉	—	2	1	no	—
66	C₂×C₁₆×C₁₉	—	2	1	no	—
67	C₂×C₁₆×C₁₉	—	2	1	no	—
68	C₂×C₁₆×C₁₉	D₄	1	2	yes	—
69	C₁₉×#108	—	2	1	no	—
70	C₁₉×#108	D₄	1	2	yes	—
71	C₁₉×#107	D₄	1	2	yes	—
72	C₁₉×#106	—	2	1	no	—
73	C₁₉×#103	—	2	4	no	—
74	C₁₉×#100	—	2	4	no	—
75	C₂⁴×C₁₉	—	4	1	no	—
76	#41×C₁₉	—	2	1	no	—
77	#41×C₁₉	—	2	1	no	—
78	#41×C₁₉	—	2	1	no	—
79	#41×C₁₉	—	2	1	no	—
80	C₂×Q₈×C₁₉	—	2	2	no	—
81	C₂×Q₈×C₁₉	—	4	1	no	—
82	C₂×Q₈×C₁₉	—	4	1	no	—
83	C₂×Q₈×C₁₉	—	4	1	no	—
84	C₂×Q₈×C₁₉	—	4	1	no	—
85	C₂×Q₈×C₁₉	—	4	1	no	—
86	C₂×Q₈×C₁₉	D₈	1	1	yes	characteristic
87	C₂×D₄×C₁₉	—	2	1	no	—
88	C₂×D₄×C₁₉	—	2	2	no	—
89	C₂×D₄×C₁₉	—	4	1	no	—
90	C₂×D₄×C₁₉	—	4	1	no	—
91	C₂×D₄×C₁₉	—	4	1	no	—
92	C₂×D₄×C₁₉	—	4	1	no	—
93	C₂×D₄×C₁₉	—	4	1	no	—
94	C₂×D₄×C₁₉	D₈	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	—	2	1	no	—
96	C₂²×C₄×C₁₉	—	4	1	no	—
97	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
98	Q₁₆×C₁₉	—	2	2	no	—
99	Q₁₆×C₁₉	—	2	2	no	—
100	Q₁₆×C₁₉	—	4	1	no	—
101	Q₁₆×C₁₉	—	4	1	no	—
102	SD₁₆×C₁₉	—	4	4	no	—
103	D₈×C₁₉	—	2	2	no	—
104	D₈×C₁₉	—	2	2	no	—
105	D₈×C₁₉	—	4	4	no	—
106	D₈×C₁₉	—	4	1	no	—
107	D₈×C₁₉	—	4	1	no	—
108	M₁₆×C₁₉	—	2	2	no	—
109	M₁₆×C₁₉	—	2	1	no	—
110	M₁₆×C₁₉	—	2	1	no	—
111	M₁₆×C₁₉	—	4	1	no	—
112	M₁₆×C₁₉	—	4	1	no	—
113	M₁₆×C₁₉	—	4	1	no	—
114	C₂×C₈×C₁₉	—	2	1	no	—
115	C₂×C₈×C₁₉	—	4	1	no	—
116	C₂×C₈×C₁₉	—	4	1	no	—
117	C₂×C₈×C₁₉	—	4	1	no	—
118	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
123	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
124	C₄⋊C₄×C₁₉	—	2	2	no	—
125	C₄⋊C₄×C₁₉	—	4	4	no	—
126	C₂²⋊C₄×C₁₉	—	4	4	no	—
127	C₂²⋊C₄×C₁₉	—	4	1	no	—
128	C₄²×C₁₉	—	4	1	no	—
129	C₁₆×C₁₉	—	2	2	no	—
130	C₁₆×C₁₉	—	4	1	no	—
131	#13320	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
132	C₂³×C₁₉	—	2	1	no	—
133	C₂³×C₁₉	—	4	2	no	—
134	C₂³×C₁₉	—	8	1	no	—
135	C₂³×C₁₉	—	8	1	no	—
136	C₂³×C₁₉	—	16	2	no	—
137	C₂³×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
138	Q₈×C₁₉	—	2	1	no	—
139	Q₈×C₁₉	—	2	1	no	—
140	Q₈×C₁₉	—	4	2	no	—
141	Q₈×C₁₉	—	4	2	no	—
142	Q₈×C₁₉	—	8	1	no	—
143	Q₈×C₁₉	—	8	1	no	—
144	D₄×C₁₉	—	2	1	no	—
145	D₄×C₁₉	—	2	1	no	—
146	D₄×C₁₉	—	4	1	no	—
147	D₄×C₁₉	—	4	1	no	—
148	D₄×C₁₉	—	4	2	no	—
149	D₄×C₁₉	—	4	2	no	—
150	D₄×C₁₉	—	8	1	no	—
151	D₄×C₁₉	—	8	1	no	—
152	C₂×C₄×C₁₉	—	2	1	no	—
153	C₂×C₄×C₁₉	—	4	1	no	—
154	C₂×C₄×C₁₉	—	4	1	no	—
155	C₂×C₄×C₁₉	—	4	2	no	—
156	C₂×C₄×C₁₉	—	4	2	no	—
157	C₂×C₄×C₁₉	—	8	1	no	—
158	C₂×C₄×C₁₉	—	8	1	no	—
159	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
162	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
163	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
164	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
165	C₈×C₁₉	—	4	1	no	—
166	C₈×C₁₉	—	4	2	no	—
167	C₈×C₁₉	#120	1	1	yes	characteristic
168	C₈×C₁₉	#121	1	1	yes	characteristic
169	C₈×C₁₉	#121	1	1	yes	characteristic
170	C₈×C₁₉	#127	1	1	yes	characteristic
171	C₂²×SD₃₂	C₂×C₁₉	1	1	yes	characteristic, complemented
172	C₂×#472	C₂×C₁₉	1	1	yes	characteristic
173	#3059	C₂×C₁₉	1	1	yes	characteristic, complemented
174	C₂×#362	C₂×C₁₉	1	1	yes	characteristic, complemented
175	#2140	C₂×C₁₉	1	1	yes	characteristic, complemented
176	C₂×#350	C₂×C₁₉	1	1	yes	characteristic, complemented
177	#1382	C₂×C₁₉	1	1	yes	characteristic, complemented
178	C₂²×C₁₉	—	2	2	no	—
179	C₂²×C₁₉	—	4	2	no	—
180	C₂²×C₁₉	—	4	1	no	—
181	C₂²×C₁₉	—	8	2	no	—
182	C₂²×C₁₉	—	16	2	no	—
183	C₂²×C₁₉	—	16	2	no	—
184	C₂²×C₁₉	—	16	2	no	—
185	C₂²×C₁₉	#447	1	1	yes	characteristic
186	C₂²×C₁₉	#449	1	1	yes	characteristic
187	C₂²×C₁₉	#469	1	1	yes	characteristic
188	C₄×C₁₉	—	4	1	no	—
189	C₄×C₁₉	—	8	2	no	—
190	C₄×C₁₉	—	8	2	no	—
191	C₄×C₁₉	#392	1	1	yes	characteristic
192	C₄×C₁₉	#447	1	1	yes	characteristic
193	C₄×C₁₉	#449	1	1	yes	characteristic
194	C₄×C₁₉	#466	1	1	yes	characteristic
195	C₂×AGL(1,ℤ/8)	—	2	1	no	—
196	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic
197	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic
198	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
199	#536	—	2	1	no	—
200	C₂×SD₃₂	—	2	2	no	—
201	C₂×SD₃₂	—	2	2	no	—
202	C₂×SD₃₂	—	2	2	no	—
203	C₂×M₃₂	C₂²×C₁₉	1	1	yes	characteristic
204	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
205	#472	—	2	2	no	—
206	#472	—	2	2	no	—
207	#470	—	2	2	no	—
208	#467	—	2	2	no	—
209	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
210	#427	C₂²×C₁₉	1	1	yes	characteristic
211	#419	—	2	1	no	—
212	C₂×#100	—	2	1	no	—
213	#362	—	2	2	no	—
214	#357	—	2	2	no	—
215	#350	—	2	2	no	—
216	C₂×C₁₉	—	2	1	no	—
217	C₂×C₁₉	—	2	1	no	—
218	C₂×C₁₉	—	8	1	no	—
219	C₂×C₁₉	—	16	2	no	—
220	C₂×C₁₉	#1999	1	1	yes	characteristic
221	C₂×C₁₉	#2193	1	2	yes	—
222	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
223	C₂²×Q₈	—	2	1	no	—
224	C₂²×D₄	—	2	1	no	—
225	AGL(1,ℤ/8)	—	2	4	no	—
226	AGL(1,ℤ/8)	—	4	2	no	—
227	C₂×Q₁₆	—	2	1	no	—
228	C₂×Q₁₆	—	2	1	no	—
229	C₂×Q₁₆	—	2	1	no	—
230	C₂×Q₁₆	—	2	1	no	—
231	C₂×Q₁₆	—	2	1	no	—
232	C₂×Q₁₆	D₄×C₁₉	1	2	yes	—
233	C₂×SD₁₆	—	4	1	no	—
234	C₂×D₈	—	2	1	no	—
235	C₂×D₈	—	2	1	no	—
236	C₂×D₈	—	2	1	no	—
237	C₂×D₈	—	2	1	no	—
238	C₂×D₈	—	2	1	no	—
239	C₂×D₈	—	4	1	no	—
240	C₂×D₈	D₄×C₁₉	1	2	yes	—
241	#131	—	2	1	no	—
242	#131	—	2	1	no	—
243	#131	—	2	1	no	—
244	#131	—	2	1	no	—
245	C₂×M₁₆	—	2	1	no	—
246	C₂×M₁₆	—	2	1	no	—
247	C₂×M₁₆	D₄×C₁₉	1	1	yes	characteristic
248	C₂²×C₈	—	2	1	no	—
249	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
250	C₄⋊Q₈	—	4	1	no	—
251	#124	—	4	1	no	—
252	#123	—	4	2	no	—
253	C₂²⋊Q₈	—	2	4	no	—
254	#117	—	2	1	no	—
255	SD₃₂	—	2	8	no	—
256	M₃₂	—	2	1	no	—
257	M₃₂	—	2	1	no	—
258	C₂×C₁₆	—	2	1	no	—
259	C₂×C₁₆	—	2	1	no	—
260	C₂×C₁₆	—	2	1	no	—
261	C₂×C₁₆	D₄×C₁₉	1	2	yes	—
262	#108	—	2	1	no	—
263	#108	D₄×C₁₉	1	2	yes	—
264	#107	D₄×C₁₉	1	2	yes	—
265	#106	—	2	1	no	—
266	#103	—	2	4	no	—
267	#100	—	2	4	no	—
268	C₁₉	#13320	1	1	yes	characteristic, direct product factor, Sylow
269	C₂⁴	—	4	1	no	—
270	#41	—	2	1	no	—
271	#41	—	2	1	no	—
272	#41	—	2	1	no	—
273	#41	—	2	1	no	—
274	C₂×Q₈	—	2	2	no	—
275	C₂×Q₈	—	4	1	no	—
276	C₂×Q₈	—	4	1	no	—
277	C₂×Q₈	—	4	1	no	—
278	C₂×Q₈	—	4	1	no	—
279	C₂×Q₈	—	4	1	no	—
280	C₂×Q₈	D₈×C₁₉	1	1	yes	characteristic
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	2	2	no	—
283	C₂×D₄	—	4	1	no	—
284	C₂×D₄	—	4	1	no	—
285	C₂×D₄	—	4	1	no	—
286	C₂×D₄	—	4	1	no	—
287	C₂×D₄	—	4	1	no	—
288	C₂×D₄	D₈×C₁₉	1	1	yes	characteristic
289	C₂²×C₄	—	2	1	no	—
290	C₂²×C₄	—	4	1	no	—
291	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
292	Q₁₆	—	2	2	no	—
293	Q₁₆	—	2	2	no	—
294	Q₁₆	—	4	1	no	—
295	Q₁₆	—	4	1	no	—
296	SD₁₆	—	4	4	no	—
297	D₈	—	2	2	no	—
298	D₈	—	2	2	no	—
299	D₈	—	4	4	no	—
300	D₈	—	4	1	no	—
301	D₈	—	4	1	no	—
302	M₁₆	—	2	1	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	2	1	no	—
305	M₁₆	—	4	1	no	—
306	M₁₆	—	4	1	no	—
307	M₁₆	—	4	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	4	1	no	—
310	C₂×C₈	—	4	1	no	—
311	C₂×C₈	—	4	1	no	—
312	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
313	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
314	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
315	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
316	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
317	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	4	4	no	—
320	C₂²⋊C₄	—	4	4	no	—
321	C₂²⋊C₄	—	4	1	no	—
322	C₄²	—	4	1	no	—
323	C₁₆	—	2	2	no	—
324	C₁₆	—	4	1	no	—
325	C₂³	—	2	1	no	—
326	C₂³	—	4	2	no	—
327	C₂³	—	8	1	no	—
328	C₂³	—	8	1	no	—
329	C₂³	—	16	2	no	—
330	C₂³	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
331	Q₈	—	2	1	no	—
332	Q₈	—	2	1	no	—
333	Q₈	—	4	2	no	—
334	Q₈	—	4	2	no	—
335	Q₈	—	8	1	no	—
336	Q₈	—	8	1	no	—
337	D₄	—	2	1	no	—
338	D₄	—	2	1	no	—
339	D₄	—	4	1	no	—
340	D₄	—	4	1	no	—
341	D₄	—	4	2	no	—
342	D₄	—	4	2	no	—
343	D₄	—	8	1	no	—
344	D₄	—	8	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	4	1	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	8	1	no	—
351	C₂×C₄	—	8	1	no	—
352	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
353	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
354	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
355	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
356	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
357	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
358	C₈	—	4	1	no	—
359	C₈	—	4	2	no	—
360	C₈	C₁₉×#120	1	1	yes	characteristic
361	C₈	C₁₉×#121	1	1	yes	characteristic
362	C₈	C₁₉×#121	1	1	yes	characteristic
363	C₈	C₁₉×#127	1	1	yes	characteristic
364	C₂²	—	2	2	no	—
365	C₂²	—	4	2	no	—
366	C₂²	—	4	1	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	16	2	no	—
369	C₂²	—	16	2	no	—
370	C₂²	—	16	2	no	—
371	C₂²	C₁₉×#447	1	1	yes	characteristic
372	C₂²	C₁₉×#449	1	1	yes	characteristic
373	C₂²	C₁₉×#469	1	1	yes	characteristic
374	C₄	—	4	1	no	—
375	C₄	—	8	2	no	—
376	C₄	—	8	2	no	—
377	C₄	C₁₉×#392	1	1	yes	characteristic
378	C₄	C₁₉×#447	1	1	yes	characteristic
379	C₄	C₁₉×#449	1	1	yes	characteristic
380	C₄	C₁₉×#466	1	1	yes	characteristic
381	C₂	—	2	1	no	—
382	C₂	—	2	1	no	—
383	C₂	—	8	1	no	—
384	C₂	—	16	2	no	—
385	C₂	C₁₉×#1999	1	1	yes	characteristic
386	C₂	C₁₉×#2193	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₉	#447
commutator, Frattini, cosocle	C₂²×C₈	C₂³×C₁₉
prime radical	C₂×C₁₉×#472	C₂
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂²×C₄×C₁₉ ◁ C₂×C₁₉×#131 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₉×SD₃₂	C₂	semidirect
3. C₁₉×#3059	C₂	semidirect
4. C₂×C₁₉×#362	C₂	semidirect
5. C₁₉×#2140	C₂	semidirect
6. C₂×C₁₉×#350	C₂	semidirect
7. C₁₉×#1382	C₂	semidirect
131. #13320	C₁₉	direct (N × H)
171. C₂²×SD₃₂	C₂×C₁₉	semidirect
173. #3059	C₂×C₁₉	semidirect
174. C₂×#362	C₂×C₁₉	semidirect
175. #2140	C₂×C₁₉	semidirect
176. C₂×#350	C₂×C₁₉	semidirect
177. #1382	C₂×C₁₉	semidirect
268. C₁₉	#13320	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×C₁₉×SD₃₂	2
C₂×C₁₉×#472	2
C₁₉×#3059	2
C₂×C₁₉×#362	2
C₁₉×#2140	2
C₂×C₁₉×#350	2
C₁₉×#1382	2
#13320	19

Subgroups — C19×#13320 #18019279

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13320 #18019279