Subgroups — C₁₉×#60109 #18066068

Order 4864.

2694 conjugacy classes of subgroups.

The subgroup lattice has 318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#568	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3428	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₉×#520	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#2913	C₂	1	8	yes	maximal, complemented
5	C₁₉×#2912	C₂	1	8	yes	maximal, complemented
6	C₁₉×#2911	C₂	1	6	yes	maximal, complemented
7	C₂×C₁₉×#428	C₂	1	6	yes	maximal, complemented
8	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
9	C₁₉×#568	C₄	1	16	yes	complemented
10	C₂×C₁₉×#131	C₂²	1	8	yes	—
11	C₂²×M₁₆×C₁₉	C₂²	1	6	yes	—
12	C₁₉×#520	—	2	4	no	—
13	C₁₉×#520	C₂²	1	4	yes	—
14	C₁₉×#520	C₂²	1	8	yes	—
15	C₁₉×#520	C₂²	1	4	yes	—
16	C₁₉×#519	—	2	1	no	—
17	C₁₉×#518	—	2	3	no	—
18	C₄×#41×C₁₉	—	2	4	no	—
19	C₂×C₄×Q₈×C₁₉	—	2	1	no	—
20	C₂×C₄×D₄×C₁₉	—	2	3	no	—
21	C₂×C₁₉×#117	C₂²	1	3	yes	—
22	C₂×C₁₉×#117	C₂²	1	6	yes	—
23	C₂²×C₄⋊C₄×C₁₉	C₂²	1	3	yes	—
24	C₁₉×#428	C₂²	1	4	yes	—
25	C₁₉×#428	C₂²	1	12	yes	—
26	C₁₉×#428	C₂²	1	12	yes	complemented
27	C₁₉×#428	C₂²	1	12	yes	complemented
28	C₁₉×#428	C₂²	1	24	yes	complemented
29	C₁₉×#427	C₂²	1	24	yes	complemented
30	C₂×C₁₉×#107	C₂²	1	12	yes	complemented
31	C₂×C₁₉×#106	C₂²	1	12	yes	complemented
32	C₂×#41×C₁₉	C₂×C₄	1	8	yes	—
33	C₂×#41×C₁₉	D₄	1	4	yes	—
34	C₂×#41×C₁₉	Q₈	1	8	yes	—
35	C₂×#41×C₁₉	C₂³	1	4	yes	—
36	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
37	C₂²×D₄×C₁₉	D₄	1	3	yes	—
38	C₂³×C₄×C₁₉	—	2	3	no	—
39	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
40	C₁₉×#131	C₂×C₄	1	64	yes	complemented
41	C₂×M₁₆×C₁₉	C₂×C₄	1	48	yes	complemented
42	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
43	C₂×M₁₆×C₁₉	C₂³	1	12	yes	—
44	C₂²×C₈×C₁₉	C₂³	1	12	yes	—
45	C₄×Q₈×C₁₉	—	2	8	no	—
46	C₄×Q₈×C₁₉	—	2	4	no	—
47	C₄×Q₈×C₁₉	—	2	4	no	—
48	C₄×D₄×C₁₉	—	2	24	no	—
49	C₄×D₄×C₁₉	—	2	12	no	—
50	C₄×D₄×C₁₉	—	2	12	no	—
51	C₁₉×#117	—	2	6	no	—
52	C₁₉×#117	—	2	6	no	—
53	C₁₉×#117	—	2	6	no	—
54	C₁₉×#117	C₂³	1	12	yes	—
55	C₁₉×#117	C₂³	1	12	yes	—
56	C₁₉×#117	C₂³	1	4	yes	—
57	C₂×C₄⋊C₄×C₁₉	—	2	3	no	—
58	C₂×C₄⋊C₄×C₁₉	—	2	6	no	—
59	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
60	C₂×C₄⋊C₄×C₁₉	C₂³	1	12	yes	—
61	C₂×C₄⋊C₄×C₁₉	C₂³	1	6	yes	—
62	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
63	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×C₁₉	—	2	3	no	—
65	C₂×C₂²⋊C₄×C₁₉	—	2	6	no	—
66	C₂×C₄²×C₁₉	—	2	3	no	—
67	C₂×C₄²×C₁₉	—	2	6	no	—
68	C₁₉×#107	C₂³	1	24	yes	—
69	C₁₉×#107	C₂³	1	8	yes	—
70	C₁₉×#106	C₂³	1	24	yes	—
71	C₁₉×#106	C₂³	1	8	yes	—
72	C₂⁴×C₁₉	C₂×D₄	1	3	yes	—
73	#41×C₁₉	C₄⋊C₄	1	32	yes	—
74	#41×C₁₉	C₂²×C₄	1	16	yes	—
75	#41×C₁₉	C₂×Q₈	1	16	yes	—
76	C₂×Q₈×C₁₉	C₄⋊C₄	1	8	yes	—
77	C₂×Q₈×C₁₉	C₂×D₄	1	4	yes	—
78	C₂×D₄×C₁₉	C₄⋊C₄	1	24	yes	—
79	C₂×D₄×C₁₉	C₂×D₄	1	12	yes	—
80	C₂²×C₄×C₁₉	—	2	1	no	—
81	C₂²×C₄×C₁₉	—	2	3	no	—
82	C₂²×C₄×C₁₉	—	2	6	no	—
83	C₂²×C₄×C₁₉	—	2	6	no	—
84	C₂²×C₄×C₁₉	—	2	12	no	—
85	C₂²×C₄×C₁₉	—	8	6	no	—
86	C₂²×C₄×C₁₉	C₂²×C₄	1	12	yes	—
87	C₂²×C₄×C₁₉	C₂×D₄	1	3	yes	—
88	C₂²×C₄×C₁₉	C₂×D₄	1	6	yes	—
89	C₂²×C₄×C₁₉	C₂×Q₈	1	12	yes	—
90	C₂²×C₄×C₁₉	C₂⁴	1	6	yes	—
91	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
92	M₁₆×C₁₉	C₂²×C₄	1	16	yes	—
93	M₁₆×C₁₉	C₂²×C₄	1	48	yes	complemented
94	C₂×C₈×C₁₉	C₂²×C₄	1	48	yes	complemented
95	C₂×C₈×C₁₉	C₂⁴	1	8	yes	—
96	C₄⋊C₄×C₁₉	—	2	3	no	—
97	C₄⋊C₄×C₁₉	—	2	12	no	—
98	C₄⋊C₄×C₁₉	—	2	1	no	—
99	C₄⋊C₄×C₁₉	—	2	6	no	—
100	C₄⋊C₄×C₁₉	—	2	6	no	—
101	C₄⋊C₄×C₁₉	C₂⁴	1	6	yes	—
102	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
103	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
104	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
105	C₂²⋊C₄×C₁₉	—	2	4	no	—
106	C₂²⋊C₄×C₁₉	—	2	12	no	—
107	C₂²⋊C₄×C₁₉	—	2	12	no	—
108	C₄²×C₁₉	—	2	4	no	—
109	C₄²×C₁₉	—	2	12	no	—
110	C₄²×C₁₉	—	2	12	no	—
111	#60109	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
112	C₂³×C₁₉	—	4	3	no	—
113	C₂³×C₁₉	—	4	3	no	—
114	C₂³×C₁₉	C₂×C₄⋊C₄	1	12	yes	—
115	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
116	C₂³×C₁₉	C₂²×D₄	1	6	yes	—
117	Q₈×C₁₉	C₂×C₄⋊C₄	1	16	yes	—
118	D₄×C₁₉	C₂×C₄⋊C₄	1	48	yes	—
119	C₂×C₄×C₁₉	—	2	2	no	—
120	C₂×C₄×C₁₉	—	2	4	no	—
121	C₂×C₄×C₁₉	—	2	4	no	—
122	C₂×C₄×C₁₉	—	2	6	no	—
123	C₂×C₄×C₁₉	—	4	2	no	—
124	C₂×C₄×C₁₉	—	4	6	no	—
125	C₂×C₄×C₁₉	—	8	6	no	—
126	C₂×C₄×C₁₉	—	8	6	no	—
127	C₂×C₄×C₁₉	—	8	12	no	—
128	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	12	yes	—
129	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	24	yes	—
130	C₂×C₄×C₁₉	C₂³×C₄	1	12	yes	—
131	C₂×C₄×C₁₉	C₂³×C₄	1	2	yes	—
132	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
133	C₂×C₄×C₁₉	C₂²×D₄	1	6	yes	—
134	C₂×C₄×C₁₉	C₂²×Q₈	1	2	yes	—
135	C₂×C₄×C₁₉	C₂²×Q₈	1	12	yes	—
136	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
137	C₈×C₁₉	C₂³×C₄	1	16	yes	—
138	C₂×#568	C₂×C₁₉	1	1	yes	characteristic
139	#3428	C₂×C₁₉	1	1	yes	characteristic
140	C₂×#520	C₂×C₁₉	1	1	yes	characteristic
141	#2913	C₂×C₁₉	1	8	yes	complemented
142	#2912	C₂×C₁₉	1	8	yes	complemented
143	#2911	C₂×C₁₉	1	6	yes	complemented
144	C₂×#428	C₂×C₁₉	1	6	yes	complemented
145	C₂²×C₁₉	—	2	1	no	—
146	C₂²×C₁₉	—	2	6	no	—
147	C₂²×C₁₉	—	2	1	no	—
148	C₂²×C₁₉	—	2	6	no	—
149	C₂²×C₁₉	—	4	12	no	—
150	C₂²×C₁₉	C₂²×C₄⋊C₄	1	2	yes	—
151	C₂²×C₁₉	C₂²×C₄⋊C₄	1	12	yes	—
152	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
153	C₄×C₁₉	—	4	6	no	—
154	C₄×C₁₉	—	4	4	no	—
155	C₄×C₁₉	—	4	2	no	—
156	C₄×C₁₉	—	4	4	no	—
157	C₄×C₁₉	C₂²×C₄⋊C₄	1	2	yes	—
158	C₄×C₁₉	C₂²×C₄⋊C₄	1	12	yes	—
159	C₄×C₁₉	C₂⁴×C₄	1	1	yes	characteristic
160	C₄×C₁₉	C₂³×Q₈	1	1	yes	characteristic
161	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
162	#568	C₄×C₁₉	1	16	yes	complemented
163	C₂×#131	C₂²×C₁₉	1	8	yes	—
164	C₂²×M₁₆	C₂²×C₁₉	1	6	yes	—
165	#520	—	2	4	no	—
166	#520	C₂²×C₁₉	1	4	yes	—
167	#520	C₂²×C₁₉	1	8	yes	—
168	#520	C₂²×C₁₉	1	4	yes	—
169	#519	—	2	1	no	—
170	#518	—	2	3	no	—
171	C₄×#41	—	2	4	no	—
172	C₂×C₄×Q₈	—	2	1	no	—
173	C₂×C₄×D₄	—	2	3	no	—
174	C₂×#117	C₂²×C₁₉	1	6	yes	—
175	C₂×#117	C₂²×C₁₉	1	3	yes	—
176	C₂²×C₄⋊C₄	C₂²×C₁₉	1	3	yes	—
177	#428	C₂²×C₁₉	1	12	yes	—
178	#428	C₂²×C₁₉	1	4	yes	—
179	#428	C₂²×C₁₉	1	24	yes	complemented
180	#428	C₂²×C₁₉	1	12	yes	complemented
181	#428	C₂²×C₁₉	1	12	yes	complemented
182	#427	C₂²×C₁₉	1	24	yes	complemented
183	C₂×#107	C₂²×C₁₉	1	12	yes	complemented
184	C₂×#106	C₂²×C₁₉	1	12	yes	complemented
185	C₂×C₁₉	—	2	2	no	—
186	C₂×C₁₉	—	2	12	no	—
187	C₂×C₁₉	C₂³×C₄⋊C₄	1	1	yes	characteristic
188	C₂×C₁₉	#3585	1	1	yes	characteristic
189	C₂×C₁₉	#3586	1	1	yes	characteristic
190	C₂×#41	C₂×C₄×C₁₉	1	8	yes	—
191	C₂×#41	D₄×C₁₉	1	4	yes	—
192	C₂×#41	Q₈×C₁₉	1	8	yes	—
193	C₂×#41	C₂³×C₁₉	1	4	yes	—
194	C₂²×Q₈	D₄×C₁₉	1	1	yes	characteristic
195	C₂²×D₄	D₄×C₁₉	1	3	yes	—
196	C₂³×C₄	—	2	3	no	—
197	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
198	#131	C₂×C₄×C₁₉	1	64	yes	complemented
199	C₂×M₁₆	C₂×C₄×C₁₉	1	48	yes	complemented
200	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
201	C₂×M₁₆	C₂³×C₁₉	1	12	yes	—
202	C₂²×C₈	C₂³×C₁₉	1	12	yes	—
203	C₄×Q₈	—	2	8	no	—
204	C₄×Q₈	—	2	4	no	—
205	C₄×Q₈	—	2	4	no	—
206	C₄×D₄	—	2	24	no	—
207	C₄×D₄	—	2	12	no	—
208	C₄×D₄	—	2	12	no	—
209	#117	—	2	6	no	—
210	#117	—	2	6	no	—
211	#117	—	2	6	no	—
212	#117	C₂³×C₁₉	1	4	yes	—
213	#117	C₂³×C₁₉	1	12	yes	—
214	#117	C₂³×C₁₉	1	12	yes	—
215	C₂×C₄⋊C₄	—	2	3	no	—
216	C₂×C₄⋊C₄	—	2	6	no	—
217	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
218	C₂×C₄⋊C₄	C₂³×C₁₉	1	12	yes	—
219	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
220	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
221	C₂×C₄⋊C₄	C₂³×C₁₉	1	6	yes	—
222	C₂×C₂²⋊C₄	—	2	3	no	—
223	C₂×C₂²⋊C₄	—	2	6	no	—
224	C₂×C₄²	—	2	3	no	—
225	C₂×C₄²	—	2	6	no	—
226	#107	C₂³×C₁₉	1	24	yes	—
227	#107	C₂³×C₁₉	1	8	yes	—
228	#106	C₂³×C₁₉	1	24	yes	—
229	#106	C₂³×C₁₉	1	8	yes	—
230	C₁₉	#60109	1	1	yes	characteristic, direct product factor, Sylow
231	C₂⁴	C₂×D₄×C₁₉	1	3	yes	—
232	#41	C₄⋊C₄×C₁₉	1	32	yes	—
233	#41	C₂²×C₄×C₁₉	1	16	yes	—
234	#41	C₂×Q₈×C₁₉	1	16	yes	—
235	C₂×Q₈	C₄⋊C₄×C₁₉	1	8	yes	—
236	C₂×Q₈	C₂×D₄×C₁₉	1	4	yes	—
237	C₂×D₄	C₄⋊C₄×C₁₉	1	24	yes	—
238	C₂×D₄	C₂×D₄×C₁₉	1	12	yes	—
239	C₂²×C₄	—	2	1	no	—
240	C₂²×C₄	—	2	3	no	—
241	C₂²×C₄	—	2	6	no	—
242	C₂²×C₄	—	2	6	no	—
243	C₂²×C₄	—	2	12	no	—
244	C₂²×C₄	—	8	6	no	—
245	C₂²×C₄	C₂²×C₄×C₁₉	1	12	yes	—
246	C₂²×C₄	C₂×D₄×C₁₉	1	3	yes	—
247	C₂²×C₄	C₂×D₄×C₁₉	1	6	yes	—
248	C₂²×C₄	C₂×Q₈×C₁₉	1	12	yes	—
249	C₂²×C₄	C₂⁴×C₁₉	1	6	yes	—
250	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
251	M₁₆	C₂²×C₄×C₁₉	1	16	yes	—
252	M₁₆	C₂²×C₄×C₁₉	1	48	yes	complemented
253	C₂×C₈	C₂²×C₄×C₁₉	1	48	yes	complemented
254	C₂×C₈	C₂⁴×C₁₉	1	8	yes	—
255	C₄⋊C₄	—	2	3	no	—
256	C₄⋊C₄	—	2	12	no	—
257	C₄⋊C₄	—	2	1	no	—
258	C₄⋊C₄	—	2	6	no	—
259	C₄⋊C₄	—	2	6	no	—
260	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
261	C₄⋊C₄	C₂⁴×C₁₉	1	6	yes	—
262	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
263	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
264	C₂²⋊C₄	—	2	4	no	—
265	C₂²⋊C₄	—	2	12	no	—
266	C₂²⋊C₄	—	2	12	no	—
267	C₄²	—	2	4	no	—
268	C₄²	—	2	12	no	—
269	C₄²	—	2	12	no	—
270	C₂³	—	4	3	no	—
271	C₂³	—	4	3	no	—
272	C₂³	C₂×C₄⋊C₄×C₁₉	1	12	yes	—
273	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
274	C₂³	C₂²×D₄×C₁₉	1	6	yes	—
275	Q₈	C₂×C₄⋊C₄×C₁₉	1	16	yes	—
276	D₄	C₂×C₄⋊C₄×C₁₉	1	48	yes	—
277	C₂×C₄	—	2	2	no	—
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	2	4	no	—
280	C₂×C₄	—	2	6	no	—
281	C₂×C₄	—	4	6	no	—
282	C₂×C₄	—	4	2	no	—
283	C₂×C₄	—	8	12	no	—
284	C₂×C₄	—	8	6	no	—
285	C₂×C₄	—	8	6	no	—
286	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	12	yes	—
287	C₂×C₄	C₂×C₄⋊C₄×C₁₉	1	24	yes	—
288	C₂×C₄	C₂³×C₄×C₁₉	1	12	yes	—
289	C₂×C₄	C₂³×C₄×C₁₉	1	2	yes	—
290	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
291	C₂×C₄	C₂²×D₄×C₁₉	1	6	yes	—
292	C₂×C₄	C₂²×Q₈×C₁₉	1	2	yes	—
293	C₂×C₄	C₂²×Q₈×C₁₉	1	12	yes	—
294	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
295	C₈	C₂³×C₄×C₁₉	1	16	yes	—
296	C₂²	—	2	1	no	—
297	C₂²	—	2	6	no	—
298	C₂²	—	2	1	no	—
299	C₂²	—	2	6	no	—
300	C₂²	—	4	12	no	—
301	C₂²	C₂²×C₄⋊C₄×C₁₉	1	2	yes	—
302	C₂²	C₂²×C₄⋊C₄×C₁₉	1	12	yes	—
303	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
304	C₄	—	4	6	no	—
305	C₄	—	4	4	no	—
306	C₄	—	4	2	no	—
307	C₄	—	4	4	no	—
308	C₄	C₂²×C₄⋊C₄×C₁₉	1	2	yes	—
309	C₄	C₂²×C₄⋊C₄×C₁₉	1	12	yes	—
310	C₄	C₂⁴×C₄×C₁₉	1	1	yes	characteristic
311	C₄	C₂³×Q₈×C₁₉	1	1	yes	characteristic
312	C₂	—	2	2	no	—
313	C₂	—	2	12	no	—
314	C₂	C₂³×C₄⋊C₄×C₁₉	1	1	yes	characteristic
315	C₂	C₁₉×#3585	1	1	yes	characteristic
316	C₂	C₁₉×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator	C₄	C₂⁴×C₄×C₁₉
Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
prime radical	C₂²×#41×C₁₉	C₂²
LCS	G ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂²×#41×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₉×#2913	C₂	semidirect
5. C₁₉×#2912	C₂	semidirect
6. C₁₉×#2911	C₂	semidirect
7. C₂×C₁₉×#428	C₂	semidirect
9. C₁₉×#568	C₄	semidirect
26. C₁₉×#428	C₂²	semidirect
27. C₁₉×#428	C₂²	semidirect
28. C₁₉×#428	C₂²	semidirect
29. C₁₉×#427	C₂²	semidirect
30. C₂×C₁₉×#107	C₂²	semidirect
31. C₂×C₁₉×#106	C₂²	semidirect
40. C₁₉×#131	C₂×C₄	semidirect
41. C₂×M₁₆×C₁₉	C₂×C₄	semidirect
93. M₁₆×C₁₉	C₂²×C₄	semidirect
94. C₂×C₈×C₁₉	C₂²×C₄	semidirect
111. #60109	C₁₉	direct (N × H)
141. #2913	C₂×C₁₉	semidirect
142. #2912	C₂×C₁₉	semidirect
143. #2911	C₂×C₁₉	semidirect
144. C₂×#428	C₂×C₁₉	semidirect
162. #568	C₄×C₁₉	semidirect
179. #428	C₂²×C₁₉	semidirect
180. #428	C₂²×C₁₉	semidirect
181. #428	C₂²×C₁₉	semidirect
182. #427	C₂²×C₁₉	semidirect
183. C₂×#107	C₂²×C₁₉	semidirect
184. C₂×#106	C₂²×C₁₉	semidirect
198. #131	C₂×C₄×C₁₉	semidirect
199. C₂×M₁₆	C₂×C₄×C₁₉	semidirect
230. C₁₉	#60109	direct (N × H)
252. M₁₆	C₂²×C₄×C₁₉	semidirect
253. C₂×C₈	C₂²×C₄×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#568	2
C₁₉×#3428	2
C₂×C₁₉×#520	2
C₁₉×#2913	2
C₁₉×#2912	2
C₁₉×#2911	2
C₂×C₁₉×#428	2
#60109	19

Subgroups — C19×#60109 #18066068

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#60109 #18066068