Subgroups — C₁₉×#10248 #18016207

Order 4864.

604 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3209	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3077	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#2542	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1548	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1503	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1478	C₂	1	1	yes	maximal, characteristic
7	C₁₉×#1303	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#533	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₁₉×C₂²⋊Q₈	—	2	2	no	—
11	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
12	C₁₉×#494	—	2	1	no	—
13	C₁₉×#487	—	2	1	no	—
14	C₁₉×#478	—	2	2	no	—
15	C₁₉×#476	—	2	1	no	—
16	C₁₉×#474	—	2	1	no	—
17	C₁₉×#462	—	2	2	no	—
18	C₁₉×#451	—	2	2	no	—
19	C₁₉×#431	C₂²	1	1	yes	characteristic
20	C₁₉×#431	C₂²	1	1	yes	characteristic
21	C₁₉×#428	—	2	1	no	—
22	C₁₉×#423	C₂²	1	1	yes	characteristic
23	C₁₉×#418	—	2	1	no	—
24	C₁₉×#399	—	2	2	no	—
25	C₁₉×#390	—	2	1	no	—
26	C₁₉×#384	—	2	1	no	—
27	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×#333	—	2	2	no	—
29	C₁₉×#328	—	2	2	no	—
30	C₁₉×D₄⋊C₈	—	2	2	no	—
31	C₂²×Q₈×C₁₉	D₄	1	2	yes	—
32	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₁₉	—	2	1	no	—
34	C₂×Q₁₆×C₁₉	—	2	4	no	—
35	C₂×M₁₆×C₁₉	—	2	1	no	—
36	C₁₉×C₄⋊Q₈	—	2	1	no	—
37	C₁₉×C₄⋊Q₈	—	2	1	no	—
38	C₁₉×C₄⋊Q₈	—	2	1	no	—
39	C₁₉×C₄⋊Q₈	—	2	1	no	—
40	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
41	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
42	C₁₉×#125	—	2	1	no	—
43	C₁₉×C₂²⋊Q₈	—	2	1	no	—
44	C₁₉×C₂²⋊Q₈	—	2	1	no	—
45	C₁₉×C₂²⋊Q₈	—	4	8	no	—
46	C₄×Q₈×C₁₉	—	2	1	no	—
47	C₄×Q₈×C₁₉	—	2	1	no	—
48	C₄×D₄×C₁₉	—	2	1	no	—
49	C₄×D₄×C₁₉	—	2	1	no	—
50	C₄×D₄×C₁₉	—	2	1	no	—
51	C₄×D₄×C₁₉	—	2	1	no	—
52	C₁₉×#117	—	2	1	no	—
53	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
54	C₂×C₄⋊C₄×C₁₉	—	2	4	no	—
55	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
56	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
57	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
58	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
59	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
60	C₂×C₄²×C₁₉	—	2	1	no	—
61	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
62	C₁₉×#107	—	2	2	no	—
63	C₁₉×#106	—	2	2	no	—
64	C₁₉×C₄⋊C₈	—	2	1	no	—
65	C₁₉×C₄⋊C₈	—	2	1	no	—
66	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
67	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
68	C₁₉×#103	—	2	4	no	—
69	C₁₉×#102	—	2	2	no	—
70	C₁₉×#102	—	2	2	no	—
71	C₁₉×C₂²⋊C₈	—	2	1	no	—
72	C₁₉×C₂²⋊C₈	—	2	1	no	—
73	C₄×C₈×C₁₉	—	2	1	no	—
74	C₄×C₈×C₁₉	—	2	1	no	—
75	C₁₉×#95	D₄	1	2	yes	—
76	C₂⁴×C₁₉	—	2	1	no	—
77	C₂×Q₈×C₁₉	—	2	1	no	—
78	C₂×Q₈×C₁₉	—	2	2	no	—
79	C₂×Q₈×C₁₉	—	2	1	no	—
80	C₂×Q₈×C₁₉	—	2	2	no	—
81	C₂×Q₈×C₁₉	—	4	4	no	—
82	C₂×D₄×C₁₉	—	2	1	no	—
83	C₂×D₄×C₁₉	—	2	1	no	—
84	C₂×D₄×C₁₉	—	2	1	no	—
85	C₂×D₄×C₁₉	—	2	1	no	—
86	C₂×D₄×C₁₉	—	2	1	no	—
87	C₂×D₄×C₁₉	Q₁₆	1	2	yes	complemented
88	C₂²×C₄×C₁₉	—	2	2	no	—
89	C₂²×C₄×C₁₉	—	2	2	no	—
90	C₂²×C₄×C₁₉	—	2	1	no	—
91	C₂²×C₄×C₁₉	—	4	4	no	—
92	C₂²×C₄×C₁₉	—	4	1	no	—
93	C₂²×C₄×C₁₉	—	4	1	no	—
94	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
97	Q₁₆×C₁₉	—	8	4	no	—
98	M₁₆×C₁₉	—	4	1	no	—
99	M₁₆×C₁₉	—	4	1	no	—
100	C₂×C₈×C₁₉	—	2	2	no	—
101	C₂×C₈×C₁₉	—	2	2	no	—
102	C₂×C₈×C₁₉	—	4	1	no	—
103	C₄⋊C₄×C₁₉	—	2	4	no	—
104	C₄⋊C₄×C₁₉	—	2	1	no	—
105	C₄⋊C₄×C₁₉	—	2	1	no	—
106	C₄⋊C₄×C₁₉	—	2	1	no	—
107	C₄⋊C₄×C₁₉	—	2	1	no	—
108	C₄⋊C₄×C₁₉	—	2	1	no	—
109	C₄⋊C₄×C₁₉	—	2	1	no	—
110	C₄⋊C₄×C₁₉	—	4	8	no	—
111	C₄⋊C₄×C₁₉	—	4	1	no	—
112	C₄⋊C₄×C₁₉	—	4	1	no	—
113	C₄⋊C₄×C₁₉	—	4	1	no	—
114	C₄⋊C₄×C₁₉	—	4	1	no	—
115	C₄⋊C₄×C₁₉	—	4	1	no	—
116	C₄⋊C₄×C₁₉	—	4	1	no	—
117	C₂²⋊C₄×C₁₉	—	4	8	no	—
118	C₂²⋊C₄×C₁₉	—	4	1	no	—
119	C₂²⋊C₄×C₁₉	—	4	1	no	—
120	C₂²⋊C₄×C₁₉	—	4	1	no	—
121	C₄²×C₁₉	—	4	1	no	—
122	C₄²×C₁₉	—	4	1	no	—
123	C₄²×C₁₉	—	4	1	no	—
124	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
126	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₁₉	#41	1	1	yes	characteristic
128	#10248	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
129	C₂³×C₁₉	—	2	2	no	—
130	C₂³×C₁₉	—	4	2	no	—
131	C₂³×C₁₉	—	4	2	no	—
132	C₂³×C₁₉	—	4	1	no	—
133	C₂³×C₁₉	—	4	1	no	—
134	C₂³×C₁₉	#120	1	1	yes	characteristic
135	Q₈×C₁₉	—	4	2	no	—
136	Q₈×C₁₉	—	4	4	no	—
137	Q₈×C₁₉	—	8	1	no	—
138	Q₈×C₁₉	—	8	2	no	—
139	D₄×C₁₉	—	2	2	no	—
140	D₄×C₁₉	—	2	2	no	—
141	D₄×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	4	1	no	—
143	C₂×C₄×C₁₉	—	2	2	no	—
144	C₂×C₄×C₁₉	—	2	4	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	4	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	4	1	no	—
152	C₂×C₄×C₁₉	—	4	1	no	—
153	C₂×C₄×C₁₉	—	4	2	no	—
154	C₂×C₄×C₁₉	—	8	2	no	—
155	C₂×C₄×C₁₉	—	8	2	no	—
156	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
157	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
158	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
159	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
162	C₂×C₄×C₁₉	C₂×Q₁₆	1	1	yes	characteristic
163	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
164	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
165	C₂×C₄×C₁₉	#137	1	1	yes	characteristic
166	C₈×C₁₉	—	4	2	no	—
167	C₈×C₁₉	—	4	2	no	—
168	C₈×C₁₉	—	8	1	no	—
169	#3209	C₂×C₁₉	1	1	yes	characteristic, complemented
170	#3077	C₂×C₁₉	1	1	yes	characteristic
171	#2542	C₂×C₁₉	1	1	yes	characteristic
172	#1548	C₂×C₁₉	1	1	yes	characteristic, complemented
173	#1503	C₂×C₁₉	1	1	yes	characteristic, complemented
174	#1478	C₂×C₁₉	1	1	yes	characteristic
175	#1303	C₂×C₁₉	1	1	yes	characteristic, complemented
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	—	2	1	no	—
178	C₂²×C₁₉	—	4	4	no	—
179	C₂²×C₁₉	—	4	2	no	—
180	C₂²×C₁₉	—	8	2	no	—
181	C₂²×C₁₉	—	8	1	no	—
182	C₂²×C₁₉	—	8	1	no	—
183	C₂²×C₁₉	#392	1	1	yes	characteristic
184	C₂²×C₁₉	#451	1	1	yes	characteristic
185	C₂²×C₁₉	#452	1	1	yes	characteristic
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	2	1	no	—
189	C₄×C₁₉	—	4	4	no	—
190	C₄×C₁₉	—	8	1	no	—
191	C₄×C₁₉	—	8	2	no	—
192	C₄×C₁₉	—	8	1	no	—
193	C₄×C₁₉	—	8	1	no	—
194	C₄×C₁₉	#451	1	1	yes	characteristic
195	C₄×C₁₉	#452	1	1	yes	characteristic
196	C₄×C₁₉	#453	1	2	yes	—
197	C₄×C₁₉	#467	1	1	yes	characteristic
198	C₄×C₁₉	#470	1	1	yes	characteristic
199	#533	C₂²×C₁₉	1	1	yes	characteristic
200	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
201	C₂×C₂²⋊Q₈	—	2	2	no	—
202	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
203	#494	—	2	1	no	—
204	#487	—	2	1	no	—
205	#478	—	2	2	no	—
206	#476	—	2	1	no	—
207	#474	—	2	1	no	—
208	#462	—	2	2	no	—
209	#451	—	2	2	no	—
210	#431	C₂²×C₁₉	1	1	yes	characteristic
211	#431	C₂²×C₁₉	1	1	yes	characteristic
212	#428	—	2	1	no	—
213	#423	C₂²×C₁₉	1	1	yes	characteristic
214	#418	—	2	1	no	—
215	#399	—	2	2	no	—
216	#390	—	2	1	no	—
217	#384	—	2	1	no	—
218	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
219	#333	—	2	2	no	—
220	#328	—	2	2	no	—
221	D₄⋊C₈	—	2	2	no	—
222	C₂×C₁₉	—	2	1	no	—
223	C₂×C₁₉	—	2	1	no	—
224	C₂×C₁₉	—	8	2	no	—
225	C₂×C₁₉	#2001	1	1	yes	characteristic
226	C₂×C₁₉	#2002	1	1	yes	characteristic
227	C₂×C₁₉	#2009	1	1	yes	characteristic
228	C₂²×Q₈	D₄×C₁₉	1	2	yes	—
229	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
230	C₂³×C₄	—	2	1	no	—
231	C₂×Q₁₆	—	2	4	no	—
232	C₂×M₁₆	—	2	1	no	—
233	C₄⋊Q₈	—	2	1	no	—
234	C₄⋊Q₈	—	2	1	no	—
235	C₄⋊Q₈	—	2	1	no	—
236	C₄⋊Q₈	—	2	1	no	—
237	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
238	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
239	#125	—	2	1	no	—
240	C₂²⋊Q₈	—	2	1	no	—
241	C₂²⋊Q₈	—	2	1	no	—
242	C₂²⋊Q₈	—	4	8	no	—
243	C₄×Q₈	—	2	1	no	—
244	C₄×Q₈	—	2	1	no	—
245	C₄×D₄	—	2	1	no	—
246	C₄×D₄	—	2	1	no	—
247	C₄×D₄	—	2	1	no	—
248	C₄×D₄	—	2	1	no	—
249	#117	—	2	1	no	—
250	C₂×C₄⋊C₄	—	2	1	no	—
251	C₂×C₄⋊C₄	—	2	4	no	—
252	C₂×C₄⋊C₄	—	2	1	no	—
253	C₂×C₄⋊C₄	—	2	1	no	—
254	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
255	C₂×C₂²⋊C₄	—	2	4	no	—
256	C₂×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₄²	—	2	1	no	—
258	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
259	#107	—	2	2	no	—
260	#106	—	2	2	no	—
261	C₄⋊C₈	—	2	1	no	—
262	C₄⋊C₈	—	2	1	no	—
263	C₄⋊C₈	D₄×C₁₉	1	2	yes	—
264	C₄⋊C₈	D₄×C₁₉	1	2	yes	—
265	#103	—	2	4	no	—
266	#102	—	2	2	no	—
267	#102	—	2	2	no	—
268	C₂²⋊C₈	—	2	1	no	—
269	C₂²⋊C₈	—	2	1	no	—
270	C₄×C₈	—	2	1	no	—
271	C₄×C₈	—	2	1	no	—
272	#95	D₄×C₁₉	1	2	yes	—
273	C₁₉	#10248	1	1	yes	characteristic, direct product factor, Sylow
274	C₂⁴	—	2	1	no	—
275	C₂×Q₈	—	2	2	no	—
276	C₂×Q₈	—	2	1	no	—
277	C₂×Q₈	—	2	1	no	—
278	C₂×Q₈	—	2	2	no	—
279	C₂×Q₈	—	4	4	no	—
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	—	2	1	no	—
282	C₂×D₄	—	2	1	no	—
283	C₂×D₄	—	2	1	no	—
284	C₂×D₄	—	2	1	no	—
285	C₂×D₄	Q₁₆×C₁₉	1	2	yes	complemented
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	2	2	no	—
288	C₂²×C₄	—	2	1	no	—
289	C₂²×C₄	—	4	4	no	—
290	C₂²×C₄	—	4	1	no	—
291	C₂²×C₄	—	4	1	no	—
292	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
293	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
294	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
295	Q₁₆	—	8	4	no	—
296	M₁₆	—	4	1	no	—
297	M₁₆	—	4	1	no	—
298	C₂×C₈	—	2	2	no	—
299	C₂×C₈	—	2	2	no	—
300	C₂×C₈	—	4	1	no	—
301	C₄⋊C₄	—	2	4	no	—
302	C₄⋊C₄	—	2	1	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	2	1	no	—
306	C₄⋊C₄	—	2	1	no	—
307	C₄⋊C₄	—	2	1	no	—
308	C₄⋊C₄	—	4	8	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	4	1	no	—
312	C₄⋊C₄	—	4	1	no	—
313	C₄⋊C₄	—	4	1	no	—
314	C₄⋊C₄	—	4	1	no	—
315	C₂²⋊C₄	—	4	8	no	—
316	C₂²⋊C₄	—	4	1	no	—
317	C₂²⋊C₄	—	4	1	no	—
318	C₂²⋊C₄	—	4	1	no	—
319	C₄²	—	4	1	no	—
320	C₄²	—	4	1	no	—
321	C₄²	—	4	1	no	—
322	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
323	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
324	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
325	C₄²	#41×C₁₉	1	1	yes	characteristic
326	C₂³	—	2	2	no	—
327	C₂³	—	4	2	no	—
328	C₂³	—	4	2	no	—
329	C₂³	—	4	1	no	—
330	C₂³	—	4	1	no	—
331	C₂³	C₁₉×#120	1	1	yes	characteristic
332	Q₈	—	4	2	no	—
333	Q₈	—	4	4	no	—
334	Q₈	—	8	2	no	—
335	Q₈	—	8	1	no	—
336	D₄	—	2	2	no	—
337	D₄	—	2	2	no	—
338	D₄	—	4	1	no	—
339	D₄	—	4	1	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	2	4	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	4	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	1	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	4	1	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	8	2	no	—
352	C₂×C₄	—	8	2	no	—
353	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
354	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
355	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
356	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
357	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
358	C₂×C₄	C₁₉×#127	1	1	yes	characteristic
359	C₂×C₄	C₂×Q₁₆×C₁₉	1	1	yes	characteristic
360	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
361	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
362	C₂×C₄	C₁₉×#137	1	1	yes	characteristic
363	C₈	—	4	2	no	—
364	C₈	—	4	2	no	—
365	C₈	—	8	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	4	4	no	—
369	C₂²	—	4	2	no	—
370	C₂²	—	8	2	no	—
371	C₂²	—	8	1	no	—
372	C₂²	—	8	1	no	—
373	C₂²	C₁₉×#392	1	1	yes	characteristic
374	C₂²	C₁₉×#451	1	1	yes	characteristic
375	C₂²	C₁₉×#452	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	2	1	no	—
379	C₄	—	4	4	no	—
380	C₄	—	8	1	no	—
381	C₄	—	8	2	no	—
382	C₄	—	8	1	no	—
383	C₄	—	8	1	no	—
384	C₄	C₁₉×#451	1	1	yes	characteristic
385	C₄	C₁₉×#452	1	1	yes	characteristic
386	C₄	C₁₉×#453	1	2	yes	—
387	C₄	C₁₉×#467	1	1	yes	characteristic
388	C₄	C₁₉×#470	1	1	yes	characteristic
389	C₂	—	2	1	no	—
390	C₂	—	2	1	no	—
391	C₂	—	8	2	no	—
392	C₂	C₁₉×#2001	1	1	yes	characteristic
393	C₂	C₁₉×#2002	1	1	yes	characteristic
394	C₂	C₁₉×#2009	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#392
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₂²×D₄×C₁₉	D₄
LCS	G ▷ C₂×C₄² ▷ 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×#3209	C₂	semidirect
4. C₁₉×#1548	C₂	semidirect
5. C₁₉×#1503	C₂	semidirect
7. C₁₉×#1303	C₂	semidirect
87. C₂×D₄×C₁₉	Q₁₆	semidirect
128. #10248	C₁₉	direct (N × H)
169. #3209	C₂×C₁₉	semidirect
172. #1548	C₂×C₁₉	semidirect
173. #1503	C₂×C₁₉	semidirect
175. #1303	C₂×C₁₉	semidirect
273. C₁₉	#10248	direct (N × H)
285. C₂×D₄	Q₁₆×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₁₉×#3209	2
C₁₉×#3077	2
C₁₉×#2542	2
C₁₉×#1548	2
C₁₉×#1503	2
C₁₉×#1478	2
C₁₉×#1303	2
#10248	19

Subgroups — C19×#10248 #18016207

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10248 #18016207