Subgroups — C₁₉×#18389 #18024348

Order 4864.

1170 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3501	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3208	C₂	1	2	yes	maximal, complemented
3	C₁₉×#2541	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1596	C₂	1	8	yes	maximal, complemented
5	C₁₉×#1503	C₂	1	2	yes	maximal, complemented
6	C₁₉×#1460	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#554	—	2	2	no	—
8	C₁₉×#554	—	2	4	no	—
9	D₄×Q₈×C₁₉	—	2	2	no	—
10	C₁₉×#544	—	2	1	no	—
11	C₁₉×#543	C₂²	1	4	yes	—
12	C₁₉×#533	C₂²	1	2	yes	—
13	C₂×C₁₉×#127	—	2	1	no	—
14	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
15	C₂×C₁₉×C₂²⋊Q₈	—	2	2	no	—
16	C₂×C₁₉×#121	—	2	2	no	—
17	C₁₉×#518	—	2	1	no	—
18	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
19	C₁₉×#492	—	2	2	no	—
20	C₁₉×#486	—	2	2	no	—
21	C₁₉×#460	—	2	4	no	—
22	C₁₉×#450	C₂²	1	8	yes	—
23	C₁₉×#431	C₂²	1	2	yes	—
24	C₁₉×#392	C₂²	1	4	yes	—
25	C₁₉×#390	—	2	1	no	—
26	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#328	C₂²	1	8	yes	—
28	C₁₉×#323	C₂²	1	4	yes	—
29	C₂²×Q₈×C₁₉	—	2	2	no	—
30	C₂²×D₄×C₁₉	—	2	4	no	—
31	C₂²×D₄×C₁₉	—	2	1	no	—
32	C₂²×D₄×C₁₉	—	2	1	no	—
33	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
34	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
35	C₂³×C₄×C₁₉	D₄	1	2	yes	—
36	C₂×SD₁₆×C₁₉	—	2	8	no	—
37	C₁₉×C₄⋊Q₈	—	2	4	no	—
38	C₁₉×C₄⋊Q₈	D₄	1	2	yes	complemented
39	C₁₉×C₄⋊Q₈	D₄	1	2	yes	complemented
40	C₁₉×#127	—	2	2	no	—
41	C₁₉×#127	—	2	2	no	—
42	C₁₉×#127	—	4	4	no	—
43	C₁₉×#125	—	2	4	no	—
44	C₁₉×#125	—	2	2	no	—
45	C₁₉×C₂²⋊Q₈	—	2	4	no	—
46	C₁₉×C₂²⋊Q₈	—	2	4	no	—
47	C₁₉×C₂²⋊Q₈	—	2	8	no	—
48	C₁₉×C₂²⋊Q₈	—	2	2	no	—
49	C₁₉×C₂²⋊Q₈	—	2	4	no	—
50	C₁₉×C₂²⋊Q₈	—	2	8	no	—
51	C₁₉×C₂²⋊Q₈	C₂³	1	4	yes	—
52	C₁₉×#121	—	4	8	no	—
53	C₄×Q₈×C₁₉	—	2	2	no	—
54	C₄×Q₈×C₁₉	D₄	1	4	yes	complemented
55	C₄×D₄×C₁₉	—	2	4	no	—
56	C₄×D₄×C₁₉	—	2	4	no	—
57	C₄×D₄×C₁₉	—	2	2	no	—
58	C₄×D₄×C₁₉	—	2	2	no	—
59	C₁₉×#117	—	2	2	no	—
60	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
61	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
62	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
63	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
65	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
66	C₂×C₂²⋊C₄×C₁₉	C₂³	1	2	yes	—
67	C₂×C₄²×C₁₉	—	2	1	no	—
68	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
69	C₁₉×C₄⋊C₈	—	2	2	no	—
70	C₁₉×#102	—	2	8	no	—
71	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
72	C₄×C₈×C₁₉	—	2	2	no	—
73	C₁₉×#95	C₂³	1	2	yes	—
74	C₂⁴×C₁₉	—	2	2	no	—
75	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
76	C₂×Q₈×C₁₉	—	2	4	no	—
77	C₂×Q₈×C₁₉	—	2	2	no	—
78	C₂×Q₈×C₁₉	—	8	4	no	—
79	C₂×Q₈×C₁₉	C₂×D₄	1	4	yes	—
80	C₂×D₄×C₁₉	—	2	2	no	—
81	C₂×D₄×C₁₉	—	2	2	no	—
82	C₂×D₄×C₁₉	—	2	4	no	—
83	C₂×D₄×C₁₉	—	4	4	no	—
84	C₂×D₄×C₁₉	—	4	8	no	—
85	C₂×D₄×C₁₉	—	4	8	no	—
86	C₂×D₄×C₁₉	—	4	1	no	—
87	C₂×D₄×C₁₉	—	4	2	no	—
88	C₂×D₄×C₁₉	—	4	1	no	—
89	C₂×D₄×C₁₉	—	4	2	no	—
90	C₂×D₄×C₁₉	—	4	2	no	—
91	C₂×D₄×C₁₉	—	8	2	no	—
92	C₂×D₄×C₁₉	—	8	4	no	—
93	C₂×D₄×C₁₉	SD₁₆	1	4	yes	complemented
94	C₂²×C₄×C₁₉	—	2	2	no	—
95	C₂²×C₄×C₁₉	—	2	4	no	—
96	C₂²×C₄×C₁₉	—	2	4	no	—
97	C₂²×C₄×C₁₉	—	2	2	no	—
98	C₂²×C₄×C₁₉	—	2	2	no	—
99	C₂²×C₄×C₁₉	—	4	4	no	—
100	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
101	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
102	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
104	SD₁₆×C₁₉	—	8	8	no	—
105	C₂×C₈×C₁₉	—	2	4	no	—
106	C₄⋊C₄×C₁₉	—	2	4	no	—
107	C₄⋊C₄×C₁₉	—	2	4	no	—
108	C₄⋊C₄×C₁₉	—	2	8	no	—
109	C₄⋊C₄×C₁₉	—	2	2	no	—
110	C₄⋊C₄×C₁₉	—	2	4	no	—
111	C₄⋊C₄×C₁₉	—	2	2	no	—
112	C₄⋊C₄×C₁₉	—	2	2	no	—
113	C₄⋊C₄×C₁₉	—	2	2	no	—
114	C₄⋊C₄×C₁₉	—	2	4	no	—
115	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
116	C₂²⋊C₄×C₁₉	—	2	8	no	—
117	C₂²⋊C₄×C₁₉	—	2	4	no	—
118	C₂²⋊C₄×C₁₉	—	2	4	no	—
119	C₂²⋊C₄×C₁₉	—	4	8	no	—
120	C₄²×C₁₉	—	2	4	no	—
121	C₄²×C₁₉	—	4	2	no	—
122	C₄²×C₁₉	C₂×D₄	1	2	yes	—
123	C₄²×C₁₉	C₂×D₄	1	2	yes	—
124	#18389	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
125	C₂³×C₁₉	—	2	2	no	—
126	C₂³×C₁₉	—	2	2	no	—
127	C₂³×C₁₉	—	4	2	no	—
128	C₂³×C₁₉	—	4	2	no	—
129	C₂³×C₁₉	—	4	4	no	—
130	C₂³×C₁₉	—	4	4	no	—
131	C₂³×C₁₉	—	4	2	no	—
132	C₂³×C₁₉	—	4	2	no	—
133	C₂³×C₁₉	—	4	2	no	—
134	C₂³×C₁₉	C₂×SD₁₆	1	4	yes	—
135	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
136	Q₈×C₁₉	—	4	4	no	—
137	Q₈×C₁₉	—	4	4	no	—
138	Q₈×C₁₉	—	8	4	no	—
139	D₄×C₁₉	—	2	8	no	—
140	D₄×C₁₉	—	4	8	no	—
141	D₄×C₁₉	—	8	2	no	—
142	D₄×C₁₉	—	8	16	no	—
143	D₄×C₁₉	—	8	4	no	—
144	D₄×C₁₉	—	8	2	no	—
145	C₂×C₄×C₁₉	—	2	2	no	—
146	C₂×C₄×C₁₉	—	2	4	no	—
147	C₂×C₄×C₁₉	—	2	4	no	—
148	C₂×C₄×C₁₉	—	2	4	no	—
149	C₂×C₄×C₁₉	—	2	2	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	4	2	no	—
152	C₂×C₄×C₁₉	—	4	2	no	—
153	C₂×C₄×C₁₉	—	4	4	no	—
154	C₂×C₄×C₁₉	—	4	2	no	—
155	C₂×C₄×C₁₉	—	8	2	no	—
156	C₂×C₄×C₁₉	—	8	4	no	—
157	C₂×C₄×C₁₉	—	8	4	no	—
158	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#120	1	2	yes	—
160	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
161	C₂×C₄×C₁₉	C₂×SD₁₆	1	2	yes	—
162	C₂×C₄×C₁₉	#137	1	2	yes	—
163	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
164	C₈×C₁₉	—	4	4	no	—
165	#3501	C₂×C₁₉	1	1	yes	characteristic, complemented
166	#3208	C₂×C₁₉	1	2	yes	complemented
167	#2541	C₂×C₁₉	1	1	yes	characteristic
168	#1596	C₂×C₁₉	1	8	yes	complemented
169	#1503	C₂×C₁₉	1	2	yes	complemented
170	#1460	C₂×C₁₉	1	1	yes	characteristic, complemented
171	C₂²×C₁₉	—	2	1	no	—
172	C₂²×C₁₉	—	2	1	no	—
173	C₂²×C₁₉	—	2	4	no	—
174	C₂²×C₁₉	—	4	4	no	—
175	C₂²×C₁₉	—	4	2	no	—
176	C₂²×C₁₉	—	4	2	no	—
177	C₂²×C₁₉	—	8	2	no	—
178	C₂²×C₁₉	—	8	4	no	—
179	C₂²×C₁₉	—	8	4	no	—
180	C₂²×C₁₉	—	8	2	no	—
181	C₂²×C₁₉	—	8	2	no	—
182	C₂²×C₁₉	—	8	2	no	—
183	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
184	C₂²×C₁₉	C₂²×SD₁₆	1	1	yes	characteristic
185	C₂²×C₁₉	C₂×#137	1	1	yes	characteristic
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	2	2	no	—
188	C₄×C₁₉	—	4	4	no	—
189	C₄×C₁₉	—	4	2	no	—
190	C₄×C₁₉	—	4	4	no	—
191	C₄×C₁₉	—	4	4	no	—
192	C₄×C₁₉	#448	1	4	yes	—
193	C₄×C₁₉	#453	1	2	yes	—
194	#554	—	2	2	no	—
195	#554	—	2	4	no	—
196	D₄×Q₈	—	2	2	no	—
197	#544	—	2	1	no	—
198	#543	C₂²×C₁₉	1	4	yes	—
199	#533	C₂²×C₁₉	1	2	yes	—
200	C₂×#127	—	2	1	no	—
201	C₂×#127	C₂²×C₁₉	1	1	yes	characteristic
202	C₂×C₂²⋊Q₈	—	2	2	no	—
203	C₂×#121	—	2	2	no	—
204	#518	—	2	1	no	—
205	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
206	#492	—	2	2	no	—
207	#486	—	2	2	no	—
208	#460	—	2	4	no	—
209	#450	C₂²×C₁₉	1	8	yes	—
210	#431	C₂²×C₁₉	1	2	yes	—
211	#392	C₂²×C₁₉	1	4	yes	—
212	#390	—	2	1	no	—
213	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
214	#328	C₂²×C₁₉	1	8	yes	—
215	#323	C₂²×C₁₉	1	4	yes	—
216	C₂×C₁₉	—	2	1	no	—
217	C₂×C₁₉	—	2	1	no	—
218	C₂×C₁₉	—	4	4	no	—
219	C₂×C₁₉	—	16	2	no	—
220	C₂×C₁₉	C₂×#448	1	1	yes	characteristic
221	C₂×C₁₉	C₂×#453	1	1	yes	characteristic
222	C₂×C₁₉	#3027	1	1	yes	characteristic
223	C₂²×Q₈	—	2	2	no	—
224	C₂²×D₄	—	2	4	no	—
225	C₂²×D₄	—	2	1	no	—
226	C₂²×D₄	—	2	1	no	—
227	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
228	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
229	C₂³×C₄	D₄×C₁₉	1	2	yes	—
230	C₂×SD₁₆	—	2	8	no	—
231	C₄⋊Q₈	—	2	4	no	—
232	C₄⋊Q₈	D₄×C₁₉	1	2	yes	complemented
233	C₄⋊Q₈	D₄×C₁₉	1	2	yes	complemented
234	#127	—	2	2	no	—
235	#127	—	2	2	no	—
236	#127	—	4	4	no	—
237	#125	—	2	4	no	—
238	#125	—	2	2	no	—
239	C₂²⋊Q₈	—	2	4	no	—
240	C₂²⋊Q₈	—	2	4	no	—
241	C₂²⋊Q₈	—	2	8	no	—
242	C₂²⋊Q₈	—	2	2	no	—
243	C₂²⋊Q₈	—	2	4	no	—
244	C₂²⋊Q₈	—	2	8	no	—
245	C₂²⋊Q₈	C₂³×C₁₉	1	4	yes	—
246	#121	—	4	8	no	—
247	C₄×Q₈	—	2	2	no	—
248	C₄×Q₈	D₄×C₁₉	1	4	yes	complemented
249	C₄×D₄	—	2	4	no	—
250	C₄×D₄	—	2	4	no	—
251	C₄×D₄	—	2	2	no	—
252	C₄×D₄	—	2	2	no	—
253	#117	—	2	2	no	—
254	C₂×C₄⋊C₄	—	2	2	no	—
255	C₂×C₄⋊C₄	—	2	4	no	—
256	C₂×C₄⋊C₄	—	2	1	no	—
257	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
258	C₂×C₂²⋊C₄	—	2	4	no	—
259	C₂×C₂²⋊C₄	—	2	4	no	—
260	C₂×C₂²⋊C₄	C₂³×C₁₉	1	2	yes	—
261	C₂×C₄²	—	2	1	no	—
262	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
263	C₄⋊C₈	—	2	2	no	—
264	#102	—	2	8	no	—
265	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
266	C₄×C₈	—	2	2	no	—
267	#95	C₂³×C₁₉	1	2	yes	—
268	C₁₉	#18389	1	1	yes	characteristic, direct product factor, Sylow
269	C₂⁴	—	2	2	no	—
270	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
271	C₂×Q₈	—	2	4	no	—
272	C₂×Q₈	—	2	2	no	—
273	C₂×Q₈	—	8	4	no	—
274	C₂×Q₈	C₂×D₄×C₁₉	1	4	yes	—
275	C₂×D₄	—	2	2	no	—
276	C₂×D₄	—	2	2	no	—
277	C₂×D₄	—	2	4	no	—
278	C₂×D₄	—	4	4	no	—
279	C₂×D₄	—	4	8	no	—
280	C₂×D₄	—	4	8	no	—
281	C₂×D₄	—	4	1	no	—
282	C₂×D₄	—	4	2	no	—
283	C₂×D₄	—	4	1	no	—
284	C₂×D₄	—	4	2	no	—
285	C₂×D₄	—	4	2	no	—
286	C₂×D₄	—	8	2	no	—
287	C₂×D₄	—	8	4	no	—
288	C₂×D₄	SD₁₆×C₁₉	1	4	yes	complemented
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	—	2	4	no	—
291	C₂²×C₄	—	2	4	no	—
292	C₂²×C₄	—	2	2	no	—
293	C₂²×C₄	—	2	2	no	—
294	C₂²×C₄	—	4	4	no	—
295	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
296	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
297	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
298	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
299	SD₁₆	—	8	8	no	—
300	C₂×C₈	—	2	4	no	—
301	C₄⋊C₄	—	2	4	no	—
302	C₄⋊C₄	—	2	4	no	—
303	C₄⋊C₄	—	2	8	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	2	4	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	2	2	no	—
308	C₄⋊C₄	—	2	2	no	—
309	C₄⋊C₄	—	2	4	no	—
310	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
311	C₂²⋊C₄	—	2	8	no	—
312	C₂²⋊C₄	—	2	4	no	—
313	C₂²⋊C₄	—	2	4	no	—
314	C₂²⋊C₄	—	4	8	no	—
315	C₄²	—	2	4	no	—
316	C₄²	—	4	2	no	—
317	C₄²	C₂×D₄×C₁₉	1	2	yes	—
318	C₄²	C₂×D₄×C₁₉	1	2	yes	—
319	C₂³	—	2	2	no	—
320	C₂³	—	2	2	no	—
321	C₂³	—	4	2	no	—
322	C₂³	—	4	2	no	—
323	C₂³	—	4	4	no	—
324	C₂³	—	4	4	no	—
325	C₂³	—	4	2	no	—
326	C₂³	—	4	2	no	—
327	C₂³	—	4	2	no	—
328	C₂³	C₂×SD₁₆×C₁₉	1	4	yes	—
329	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
330	Q₈	—	4	4	no	—
331	Q₈	—	4	4	no	—
332	Q₈	—	8	4	no	—
333	D₄	—	2	8	no	—
334	D₄	—	4	8	no	—
335	D₄	—	8	2	no	—
336	D₄	—	8	16	no	—
337	D₄	—	8	4	no	—
338	D₄	—	8	2	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	2	4	no	—
341	C₂×C₄	—	2	4	no	—
342	C₂×C₄	—	2	4	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	4	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	—	8	4	no	—
351	C₂×C₄	—	8	4	no	—
352	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
353	C₂×C₄	C₁₉×#120	1	2	yes	—
354	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
355	C₂×C₄	C₂×SD₁₆×C₁₉	1	2	yes	—
356	C₂×C₄	C₁₉×#137	1	2	yes	—
357	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
358	C₈	—	4	4	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	2	1	no	—
361	C₂²	—	2	4	no	—
362	C₂²	—	4	4	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	4	2	no	—
365	C₂²	—	8	2	no	—
366	C₂²	—	8	4	no	—
367	C₂²	—	8	4	no	—
368	C₂²	—	8	2	no	—
369	C₂²	—	8	2	no	—
370	C₂²	—	8	2	no	—
371	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
372	C₂²	C₂²×SD₁₆×C₁₉	1	1	yes	characteristic
373	C₂²	C₂×C₁₉×#137	1	1	yes	characteristic
374	C₄	—	2	1	no	—
375	C₄	—	2	2	no	—
376	C₄	—	4	4	no	—
377	C₄	—	4	2	no	—
378	C₄	—	4	4	no	—
379	C₄	—	4	4	no	—
380	C₄	C₁₉×#448	1	4	yes	—
381	C₄	C₁₉×#453	1	2	yes	—
382	C₂	—	2	1	no	—
383	C₂	—	2	1	no	—
384	C₂	—	4	4	no	—
385	C₂	—	16	2	no	—
386	C₂	C₂×C₁₉×#448	1	1	yes	characteristic
387	C₂	C₂×C₁₉×#453	1	1	yes	characteristic
388	C₂	C₁₉×#3027	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#120
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₁₉×#2541	C₂
LCS	G ▷ C₂²×C₄ ▷ 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
1. C₁₉×#3501	C₂	semidirect
2. C₁₉×#3208	C₂	semidirect
4. C₁₉×#1596	C₂	semidirect
5. C₁₉×#1503	C₂	semidirect
6. C₁₉×#1460	C₂	semidirect
38. C₁₉×C₄⋊Q₈	D₄	semidirect
39. C₁₉×C₄⋊Q₈	D₄	semidirect
54. C₄×Q₈×C₁₉	D₄	semidirect
93. C₂×D₄×C₁₉	SD₁₆	semidirect
124. #18389	C₁₉	direct (N × H)
165. #3501	C₂×C₁₉	semidirect
166. #3208	C₂×C₁₉	semidirect
168. #1596	C₂×C₁₉	semidirect
169. #1503	C₂×C₁₉	semidirect
170. #1460	C₂×C₁₉	semidirect
232. C₄⋊Q₈	D₄×C₁₉	semidirect
233. C₄⋊Q₈	D₄×C₁₉	semidirect
248. C₄×Q₈	D₄×C₁₉	semidirect
268. C₁₉	#18389	direct (N × H)
288. C₂×D₄	SD₁₆×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₁₉×#3501	2
C₁₉×#3208	2
C₁₉×#2541	2
C₁₉×#1596	2
C₁₉×#1503	2
C₁₉×#1460	2
#18389	19

Subgroups — C19×#18389 #18024348

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#18389 #18024348