Subgroups — C₁₉×#17509 #18023468

Order 4864.

994 conjugacy classes of subgroups.

The subgroup lattice has 350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	Q₈×#41×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₈×#41×C₁₉	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2906	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1493	C₂	1	3	yes	maximal, complemented
5	C₁₉×#1487	C₂	1	3	yes	maximal, complemented
6	C₁₉×#1481	C₂	1	3	yes	maximal, complemented
7	C₂×C₁₉×Q₈⋊C₈	C₂	1	3	yes	maximal, complemented
8	C₂×C₁₉×#131	—	2	1	no	—
9	Q₈²×C₁₉	C₄	1	1	yes	characteristic
10	C₁₉×#557	—	2	1	no	—
11	C₁₉×#557	C₄	1	1	yes	characteristic
12	C₁₉×#554	—	2	3	no	—
13	C₁₉×#554	C₄	1	3	yes	—
14	D₄×Q₈×C₁₉	C₄	1	3	yes	—
15	C₁₉×#533	—	2	3	no	—
16	C₁₉×#533	C₂²	1	3	yes	—
17	C₄×#41×C₁₉	—	2	1	no	—
18	C₄×#41×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×C₄×Q₈×C₁₉	C₂²	1	3	yes	—
20	C₈×Q₈×C₁₉	—	2	1	no	—
21	C₈×D₄×C₁₉	—	2	3	no	—
22	C₁₉×#431	C₂²	1	3	yes	—
23	C₁₉×#424	—	2	3	no	—
24	C₁₉×#423	C₂²	1	3	yes	—
25	C₂×C₁₉×C₄⋊C₈	C₂²	1	3	yes	—
26	C₂×C₄×C₈×C₁₉	C₂²	1	3	yes	—
27	C₁₉×Q₈⋊C₈	C₂²	1	1	yes	characteristic
28	C₁₉×Q₈⋊C₈	C₂²	1	3	yes	—
29	C₁₉×Q₈⋊C₈	C₂²	1	3	yes	—
30	C₁₉×Q₈⋊C₈	C₂²	1	3	yes	—
31	C₁₉×Q₈⋊C₈	C₂²	1	6	yes	—
32	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
33	C₂²×Q₈×C₁₉	C₂×C₄	1	3	yes	—
34	C₁₉×#131	—	4	4	no	—
35	C₂×M₁₆×C₁₉	—	2	3	no	—
36	C₂²×C₈×C₁₉	—	2	3	no	—
37	C₂²×C₈×C₁₉	—	2	3	no	—
38	C₁₉×C₄⋊Q₈	—	2	3	no	—
39	C₁₉×C₄⋊Q₈	—	2	3	no	—
40	C₁₉×C₄⋊Q₈	C₂×C₄	1	3	yes	—
41	C₁₉×C₄⋊Q₈	C₂×C₄	1	3	yes	—
42	C₁₉×#125	—	2	3	no	—
43	C₁₉×#125	—	2	3	no	—
44	C₁₉×#125	—	2	3	no	—
45	C₁₉×C₂²⋊Q₈	—	2	3	no	—
46	C₁₉×C₂²⋊Q₈	—	2	6	no	—
47	C₁₉×C₂²⋊Q₈	—	2	6	no	—
48	C₁₉×C₂²⋊Q₈	C₂×C₄	1	6	yes	—
49	C₄×Q₈×C₁₉	—	2	1	no	—
50	C₄×Q₈×C₁₉	—	2	1	no	—
51	C₄×Q₈×C₁₉	—	2	3	no	—
52	C₄×Q₈×C₁₉	—	2	3	no	—
53	C₄×Q₈×C₁₉	—	2	3	no	—
54	C₄×Q₈×C₁₉	C₂×C₄	1	3	yes	—
55	C₄×Q₈×C₁₉	C₂×C₄	1	3	yes	—
56	C₄×Q₈×C₁₉	C₂×C₄	1	1	yes	characteristic
57	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
58	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
59	C₄×Q₈×C₁₉	C₂³	1	3	yes	—
60	C₄×D₄×C₁₉	—	2	3	no	—
61	C₄×D₄×C₁₉	—	2	3	no	—
62	C₄×D₄×C₁₉	C₂×C₄	1	3	yes	—
63	C₄×D₄×C₁₉	D₄	1	3	yes	—
64	C₁₉×#117	—	2	3	no	—
65	C₁₉×#117	D₄	1	3	yes	—
66	C₂×C₄⋊C₄×C₁₉	—	2	3	no	—
67	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	3	yes	—
68	C₂×C₄²×C₁₉	—	2	3	no	—
69	C₂×C₄²×C₁₉	C₂³	1	3	yes	—
70	C₁₉×C₄⋊C₈	—	2	3	no	—
71	C₁₉×C₄⋊C₈	—	2	3	no	—
72	C₁₉×C₄⋊C₈	—	2	3	no	—
73	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
74	C₁₉×C₄⋊C₈	C₂³	1	3	yes	—
75	C₁₉×C₂²⋊C₈	—	2	3	no	—
76	C₄×C₈×C₁₉	—	2	3	no	—
77	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
78	C₄×C₈×C₁₉	C₂³	1	3	yes	—
79	#41×C₁₉	SD₁₆	1	4	yes	—
80	#41×C₁₉	Q₁₆	1	4	yes	—
81	C₂×Q₈×C₁₉	—	2	3	no	—
82	C₂×Q₈×C₁₉	—	2	3	no	—
83	C₂×Q₈×C₁₉	—	2	6	no	—
84	C₂×Q₈×C₁₉	—	4	3	no	—
85	C₂×Q₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
86	C₂×Q₈×C₁₉	C₂²×C₄	1	3	yes	—
87	C₂×Q₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
88	C₂×D₄×C₁₉	C₂²⋊C₄	1	3	yes	—
89	C₂²×C₄×C₁₉	—	2	3	no	—
90	C₂²×C₄×C₁₉	—	2	3	no	—
91	C₂²×C₄×C₁₉	C₂²×C₄	1	3	yes	—
92	C₂²×C₄×C₁₉	C₂×D₄	1	3	yes	—
93	C₂²×C₄×C₁₉	C₂×D₄	1	3	yes	—
94	M₁₆×C₁₉	—	4	6	no	—
95	C₂×C₈×C₁₉	—	2	1	no	—
96	C₂×C₈×C₁₉	—	2	3	no	—
97	C₂×C₈×C₁₉	—	2	1	no	—
98	C₂×C₈×C₁₉	—	2	3	no	—
99	C₂×C₈×C₁₉	—	4	6	no	—
100	C₂×C₈×C₁₉	—	4	6	no	—
101	C₄⋊C₄×C₁₉	—	2	3	no	—
102	C₄⋊C₄×C₁₉	—	2	3	no	—
103	C₄⋊C₄×C₁₉	—	2	3	no	—
104	C₄⋊C₄×C₁₉	—	2	3	no	—
105	C₄⋊C₄×C₁₉	—	2	3	no	—
106	C₄⋊C₄×C₁₉	—	2	3	no	—
107	C₄⋊C₄×C₁₉	—	2	6	no	—
108	C₄⋊C₄×C₁₉	—	2	1	no	—
109	C₄⋊C₄×C₁₉	—	2	3	no	—
110	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	3	yes	—
111	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	3	yes	—
112	C₄⋊C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
113	C₄⋊C₄×C₁₉	C₂²×C₄	1	3	yes	—
114	C₂²⋊C₄×C₁₉	—	2	6	no	—
115	C₂²⋊C₄×C₁₉	C₂²⋊C₄	1	6	yes	—
116	C₄²×C₁₉	—	2	3	no	—
117	C₄²×C₁₉	—	2	3	no	—
118	C₄²×C₁₉	—	2	1	no	—
119	C₄²×C₁₉	—	2	3	no	—
120	C₄²×C₁₉	C₂²×C₄	1	3	yes	—
121	C₄²×C₁₉	C₂×D₄	1	3	yes	—
122	C₄²×C₁₉	C₂×D₄	1	3	yes	—
123	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
124	#17509	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
125	C₂³×C₁₉	C₂×C₂²⋊C₄	1	3	yes	—
126	Q₈×C₁₉	—	2	1	no	—
127	Q₈×C₁₉	—	2	3	no	—
128	Q₈×C₁₉	—	2	3	no	—
129	Q₈×C₁₉	—	4	6	no	—
130	Q₈×C₁₉	—	8	3	no	—
131	Q₈×C₁₉	#103	1	4	yes	—
132	Q₈×C₁₉	#131	1	2	yes	complemented
133	D₄×C₁₉	#103	1	12	yes	—
134	C₂×C₄×C₁₉	—	2	1	no	—
135	C₂×C₄×C₁₉	—	2	3	no	—
136	C₂×C₄×C₁₉	—	2	3	no	—
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	2	3	no	—
139	C₂×C₄×C₁₉	—	2	3	no	—
140	C₂×C₄×C₁₉	—	4	3	no	—
141	C₂×C₄×C₁₉	—	4	6	no	—
142	C₂×C₄×C₁₉	—	8	3	no	—
143	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	3	yes	—
144	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	3	yes	—
145	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	3	yes	—
146	C₂×C₄×C₁₉	C₂×SD₁₆	1	6	yes	—
147	C₂×C₄×C₁₉	C₂×Q₁₆	1	6	yes	—
148	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
151	C₈×C₁₉	—	2	2	no	—
152	C₈×C₁₉	—	4	3	no	—
153	C₈×C₁₉	—	4	1	no	—
154	C₈×C₁₉	—	4	3	no	—
155	Q₈×#41	C₂×C₁₉	1	1	yes	characteristic
156	C₈×#41	C₂×C₁₉	1	1	yes	characteristic
157	#2906	C₂×C₁₉	1	1	yes	characteristic
158	#1493	C₂×C₁₉	1	3	yes	complemented
159	#1487	C₂×C₁₉	1	3	yes	complemented
160	#1481	C₂×C₁₉	1	3	yes	complemented
161	C₂×Q₈⋊C₈	C₂×C₁₉	1	3	yes	complemented
162	C₂²×C₁₉	—	2	3	no	—
163	C₂²×C₁₉	—	2	3	no	—
164	C₂²×C₁₉	C₂×#103	1	6	yes	—
165	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
166	C₄×C₁₉	—	2	3	no	—
167	C₄×C₁₉	—	2	2	no	—
168	C₄×C₁₉	—	2	1	no	—
169	C₄×C₁₉	—	2	3	no	—
170	C₄×C₁₉	—	4	3	no	—
171	C₄×C₁₉	—	4	1	no	—
172	C₄×C₁₉	—	4	3	no	—
173	C₄×C₁₉	C₂×#103	1	6	yes	—
174	C₄×C₁₉	C₂×#131	1	1	yes	characteristic
175	C₄×C₁₉	#568	1	1	yes	characteristic
176	C₄×C₁₉	C₂²×SD₁₆	1	1	yes	characteristic
177	C₄×C₁₉	C₂²×Q₁₆	1	1	yes	characteristic
178	C₂×#131	—	2	1	no	—
179	Q₈²	C₄×C₁₉	1	1	yes	characteristic
180	#557	—	2	1	no	—
181	#557	C₄×C₁₉	1	1	yes	characteristic
182	#554	—	2	3	no	—
183	#554	C₄×C₁₉	1	3	yes	—
184	D₄×Q₈	C₄×C₁₉	1	3	yes	—
185	#533	—	2	3	no	—
186	#533	C₂²×C₁₉	1	3	yes	—
187	C₄×#41	—	2	1	no	—
188	C₄×#41	C₂²×C₁₉	1	1	yes	characteristic
189	C₂×C₄×Q₈	C₂²×C₁₉	1	3	yes	—
190	C₈×Q₈	—	2	1	no	—
191	C₈×D₄	—	2	3	no	—
192	#431	C₂²×C₁₉	1	3	yes	—
193	#424	—	2	3	no	—
194	#423	C₂²×C₁₉	1	3	yes	—
195	C₂×C₄⋊C₈	C₂²×C₁₉	1	3	yes	—
196	C₂×C₄×C₈	C₂²×C₁₉	1	3	yes	—
197	Q₈⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
198	Q₈⋊C₈	C₂²×C₁₉	1	3	yes	—
199	Q₈⋊C₈	C₂²×C₁₉	1	3	yes	—
200	Q₈⋊C₈	C₂²×C₁₉	1	3	yes	—
201	Q₈⋊C₈	C₂²×C₁₉	1	6	yes	—
202	C₂×C₁₉	—	2	6	no	—
203	C₂×C₁₉	#2880	1	1	yes	characteristic
204	C₂×C₁₉	C₂²×#103	1	1	yes	characteristic
205	C₂×C₁₉	#2901	1	1	yes	characteristic
206	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
207	C₂²×Q₈	C₂×C₄×C₁₉	1	3	yes	—
208	#131	—	4	4	no	—
209	C₂×M₁₆	—	2	3	no	—
210	C₂²×C₈	—	2	3	no	—
211	C₂²×C₈	—	2	3	no	—
212	C₄⋊Q₈	—	2	3	no	—
213	C₄⋊Q₈	—	2	3	no	—
214	C₄⋊Q₈	C₂×C₄×C₁₉	1	3	yes	—
215	C₄⋊Q₈	C₂×C₄×C₁₉	1	3	yes	—
216	#125	—	2	3	no	—
217	#125	—	2	3	no	—
218	#125	—	2	3	no	—
219	C₂²⋊Q₈	—	2	3	no	—
220	C₂²⋊Q₈	—	2	6	no	—
221	C₂²⋊Q₈	—	2	6	no	—
222	C₂²⋊Q₈	C₂×C₄×C₁₉	1	6	yes	—
223	C₄×Q₈	—	2	1	no	—
224	C₄×Q₈	—	2	1	no	—
225	C₄×Q₈	—	2	3	no	—
226	C₄×Q₈	—	2	3	no	—
227	C₄×Q₈	—	2	3	no	—
228	C₄×Q₈	C₂×C₄×C₁₉	1	3	yes	—
229	C₄×Q₈	C₂×C₄×C₁₉	1	3	yes	—
230	C₄×Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
231	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
232	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
233	C₄×Q₈	C₂³×C₁₉	1	3	yes	—
234	C₄×D₄	—	2	3	no	—
235	C₄×D₄	—	2	3	no	—
236	C₄×D₄	C₂×C₄×C₁₉	1	3	yes	—
237	C₄×D₄	D₄×C₁₉	1	3	yes	—
238	#117	—	2	3	no	—
239	#117	D₄×C₁₉	1	3	yes	—
240	C₂×C₄⋊C₄	—	2	3	no	—
241	C₂×C₄⋊C₄	C₂×C₄×C₁₉	1	3	yes	—
242	C₂×C₄²	—	2	3	no	—
243	C₂×C₄²	C₂³×C₁₉	1	3	yes	—
244	C₄⋊C₈	—	2	3	no	—
245	C₄⋊C₈	—	2	3	no	—
246	C₄⋊C₈	—	2	3	no	—
247	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
248	C₄⋊C₈	C₂³×C₁₉	1	3	yes	—
249	C₂²⋊C₈	—	2	3	no	—
250	C₄×C₈	—	2	3	no	—
251	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
252	C₄×C₈	C₂³×C₁₉	1	3	yes	—
253	C₁₉	#17509	1	1	yes	characteristic, direct product factor, Sylow
254	#41	SD₁₆×C₁₉	1	4	yes	—
255	#41	Q₁₆×C₁₉	1	4	yes	—
256	C₂×Q₈	—	2	3	no	—
257	C₂×Q₈	—	2	3	no	—
258	C₂×Q₈	—	2	6	no	—
259	C₂×Q₈	—	4	3	no	—
260	C₂×Q₈	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
261	C₂×Q₈	C₂²×C₄×C₁₉	1	3	yes	—
262	C₂×Q₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
263	C₂×D₄	C₂²⋊C₄×C₁₉	1	3	yes	—
264	C₂²×C₄	—	2	3	no	—
265	C₂²×C₄	—	2	3	no	—
266	C₂²×C₄	C₂²×C₄×C₁₉	1	3	yes	—
267	C₂²×C₄	C₂×D₄×C₁₉	1	3	yes	—
268	C₂²×C₄	C₂×D₄×C₁₉	1	3	yes	—
269	M₁₆	—	4	6	no	—
270	C₂×C₈	—	2	1	no	—
271	C₂×C₈	—	2	3	no	—
272	C₂×C₈	—	2	1	no	—
273	C₂×C₈	—	2	3	no	—
274	C₂×C₈	—	4	6	no	—
275	C₂×C₈	—	4	6	no	—
276	C₄⋊C₄	—	2	3	no	—
277	C₄⋊C₄	—	2	3	no	—
278	C₄⋊C₄	—	2	3	no	—
279	C₄⋊C₄	—	2	3	no	—
280	C₄⋊C₄	—	2	3	no	—
281	C₄⋊C₄	—	2	3	no	—
282	C₄⋊C₄	—	2	6	no	—
283	C₄⋊C₄	—	2	1	no	—
284	C₄⋊C₄	—	2	3	no	—
285	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	3	yes	—
286	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	3	yes	—
287	C₄⋊C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
288	C₄⋊C₄	C₂²×C₄×C₁₉	1	3	yes	—
289	C₂²⋊C₄	—	2	6	no	—
290	C₂²⋊C₄	C₂²⋊C₄×C₁₉	1	6	yes	—
291	C₄²	—	2	3	no	—
292	C₄²	—	2	3	no	—
293	C₄²	—	2	1	no	—
294	C₄²	—	2	3	no	—
295	C₄²	C₂²×C₄×C₁₉	1	3	yes	—
296	C₄²	C₂×D₄×C₁₉	1	3	yes	—
297	C₄²	C₂×D₄×C₁₉	1	3	yes	—
298	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
299	C₂³	C₂×C₂²⋊C₄×C₁₉	1	3	yes	—
300	Q₈	—	2	1	no	—
301	Q₈	—	2	3	no	—
302	Q₈	—	2	3	no	—
303	Q₈	—	4	6	no	—
304	Q₈	—	8	3	no	—
305	Q₈	C₁₉×#103	1	4	yes	—
306	Q₈	C₁₉×#131	1	2	yes	complemented
307	D₄	C₁₉×#103	1	12	yes	—
308	C₂×C₄	—	2	1	no	—
309	C₂×C₄	—	2	3	no	—
310	C₂×C₄	—	2	3	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	3	no	—
313	C₂×C₄	—	2	3	no	—
314	C₂×C₄	—	4	3	no	—
315	C₂×C₄	—	4	6	no	—
316	C₂×C₄	—	8	3	no	—
317	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	3	yes	—
318	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	3	yes	—
319	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	3	yes	—
320	C₂×C₄	C₂×SD₁₆×C₁₉	1	6	yes	—
321	C₂×C₄	C₂×Q₁₆×C₁₉	1	6	yes	—
322	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
323	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
324	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
325	C₈	—	2	2	no	—
326	C₈	—	4	3	no	—
327	C₈	—	4	1	no	—
328	C₈	—	4	3	no	—
329	C₂²	—	2	3	no	—
330	C₂²	—	2	3	no	—
331	C₂²	C₂×C₁₉×#103	1	6	yes	—
332	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
333	C₄	—	2	3	no	—
334	C₄	—	2	2	no	—
335	C₄	—	2	1	no	—
336	C₄	—	2	3	no	—
337	C₄	—	4	3	no	—
338	C₄	—	4	1	no	—
339	C₄	—	4	3	no	—
340	C₄	C₂×C₁₉×#103	1	6	yes	—
341	C₄	C₂×C₁₉×#131	1	1	yes	characteristic
342	C₄	C₁₉×#568	1	1	yes	characteristic
343	C₄	C₂²×SD₁₆×C₁₉	1	1	yes	characteristic
344	C₄	C₂²×Q₁₆×C₁₉	1	1	yes	characteristic
345	C₂	—	2	6	no	—
346	C₂	C₁₉×#2880	1	1	yes	characteristic
347	C₂	C₂²×C₁₉×#103	1	1	yes	characteristic
348	C₂	C₁₉×#2901	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₉	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₉
Frattini, cosocle	C₄²	C₂⁴×C₁₉
socle	C₂²×C₁₉	C₂²×C₂²⋊C₄
prime radical	C₂×#41×C₁₉	D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ C₄×#41×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
4. C₁₉×#1493	C₂	semidirect
5. C₁₉×#1487	C₂	semidirect
6. C₁₉×#1481	C₂	semidirect
7. C₂×C₁₉×Q₈⋊C₈	C₂	semidirect
124. #17509	C₁₉	direct (N × H)
132. Q₈×C₁₉	#131	semidirect
158. #1493	C₂×C₁₉	semidirect
159. #1487	C₂×C₁₉	semidirect
160. #1481	C₂×C₁₉	semidirect
161. C₂×Q₈⋊C₈	C₂×C₁₉	semidirect
253. C₁₉	#17509	direct (N × H)
306. Q₈	C₁₉×#131	semidirect

Maximal subgroups

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

subgroup	index
Q₈×#41×C₁₉	2
C₈×#41×C₁₉	2
C₁₉×#2906	2
C₁₉×#1493	2
C₁₉×#1487	2
C₁₉×#1481	2
C₂×C₁₉×Q₈⋊C₈	2
#17509	19

Subgroups — C19×#17509 #18023468

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#17509 #18023468