Subgroups — C₁₉×#3321 #14561178

Order 2432.

392 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#548	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#489	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#485	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#482	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#475	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#469	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#465	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#463	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#449	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#448	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#440	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#435	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#419	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#416	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
17	C₂²×Q₈×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
20	C₂×D₈×C₁₉	C₂²	1	1	yes	characteristic
21	C₂×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
22	C₂²×C₈×C₁₉	C₂²	1	1	yes	characteristic
23	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
24	C₁₉×#124	—	2	1	no	—
25	C₁₉×#124	—	2	1	no	—
26	C₁₉×#124	—	2	1	no	—
27	C₁₉×#124	C₂²	1	1	yes	characteristic
28	C₁₉×C₂²⋊Q₈	—	2	1	no	—
29	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
30	C₁₉×#121	—	2	1	no	—
31	C₁₉×#121	—	2	1	no	—
32	C₁₉×#121	C₂²	1	1	yes	characteristic
33	C₁₉×#121	C₂²	1	1	yes	characteristic
34	C₁₉×#121	C₂²	1	1	yes	characteristic
35	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
36	C₄×D₄×C₁₉	—	2	1	no	—
37	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
38	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
39	C₁₉×#117	—	2	1	no	—
40	C₁₉×#117	C₂²	1	1	yes	characteristic
41	C₁₉×#117	C₂²	1	1	yes	characteristic
42	C₁₉×#107	C₂²	1	1	yes	characteristic
43	C₁₉×#106	C₂²	1	1	yes	characteristic
44	C₁₉×#106	C₂²	1	1	yes	characteristic
45	C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
46	C₁₉×#103	C₂²	1	1	yes	characteristic
47	C₁₉×#103	C₂²	1	1	yes	characteristic
48	C₁₉×#103	C₂²	1	1	yes	characteristic
49	C₁₉×#103	C₂²	1	1	yes	characteristic
50	C₁₉×#103	C₂²	1	1	yes	characteristic
51	C₁₉×#103	C₂²	1	1	yes	characteristic
52	C₁₉×#102	C₂²	1	1	yes	characteristic
53	C₁₉×#102	C₂²	1	1	yes	characteristic
54	C₁₉×#102	C₂²	1	1	yes	characteristic
55	C₁₉×#102	C₂²	1	1	yes	characteristic
56	C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
57	C₁₉×C₂²⋊C₈	C₂²	1	1	yes	characteristic
58	C₁₉×#97	C₂²	1	1	yes	characteristic
59	#41×C₁₉	—	2	2	no	—
60	#41×C₁₉	—	4	1	no	—
61	C₂×Q₈×C₁₉	—	2	1	no	—
62	C₂×Q₈×C₁₉	—	2	1	no	—
63	C₂×Q₈×C₁₉	—	2	2	no	—
64	C₂×Q₈×C₁₉	—	4	1	no	—
65	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
66	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
67	C₂×D₄×C₁₉	—	2	1	no	—
68	C₂×D₄×C₁₉	—	2	1	no	—
69	C₂×D₄×C₁₉	—	2	1	no	—
70	C₂×D₄×C₁₉	—	2	1	no	—
71	C₂×D₄×C₁₉	D₄	1	1	yes	characteristic
72	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
73	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂²×C₄×C₁₉	—	2	1	no	—
75	C₂²×C₄×C₁₉	—	2	1	no	—
76	C₂²×C₄×C₁₉	—	2	1	no	—
77	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
78	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
79	SD₁₆×C₁₉	—	2	2	no	—
80	SD₁₆×C₁₉	—	4	1	no	—
81	D₈×C₁₉	—	4	1	no	—
82	M₁₆×C₁₉	—	4	1	no	—
83	C₂×C₈×C₁₉	—	4	1	no	—
84	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
87	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
88	C₄⋊C₄×C₁₉	—	2	1	no	—
89	C₄⋊C₄×C₁₉	—	2	1	no	—
90	C₄⋊C₄×C₁₉	—	2	1	no	—
91	C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
92	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
93	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
94	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
95	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
96	C₂²⋊C₄×C₁₉	—	2	1	no	—
97	C₂²⋊C₄×C₁₉	—	2	1	no	—
98	C₂²⋊C₄×C₁₉	—	2	1	no	—
99	C₂²⋊C₄×C₁₉	—	2	1	no	—
100	C₂²⋊C₄×C₁₉	—	2	1	no	—
101	C₂²⋊C₄×C₁₉	—	2	1	no	—
102	C₂²⋊C₄×C₁₉	—	2	1	no	—
103	C₂²⋊C₄×C₁₉	—	2	1	no	—
104	C₂²⋊C₄×C₁₉	—	2	1	no	—
105	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
106	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
107	C₄²×C₁₉	—	2	1	no	—
108	C₄²×C₁₉	—	2	1	no	—
109	C₄²×C₁₉	—	2	1	no	—
110	C₄²×C₁₉	C₂³	1	1	yes	characteristic
111	C₂³×C₁₉	—	2	1	no	—
112	C₂³×C₁₉	—	2	1	no	—
113	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
114	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
115	Q₈×C₁₉	—	2	1	no	—
116	Q₈×C₁₉	—	2	1	no	—
117	Q₈×C₁₉	—	2	1	no	—
118	Q₈×C₁₉	—	4	2	no	—
119	Q₈×C₁₉	—	8	1	no	—
120	Q₈×C₁₉	#41	1	2	yes	—
121	D₄×C₁₉	—	2	1	no	—
122	D₄×C₁₉	—	2	1	no	—
123	D₄×C₁₉	—	2	1	no	—
124	D₄×C₁₉	—	2	1	no	—
125	D₄×C₁₉	—	4	1	no	—
126	D₄×C₁₉	—	4	2	no	—
127	D₄×C₁₉	—	4	2	no	—
128	D₄×C₁₉	—	8	1	no	—
129	D₄×C₁₉	—	8	1	no	—
130	C₂×C₄×C₁₉	—	2	1	no	—
131	C₂×C₄×C₁₉	—	2	1	no	—
132	C₂×C₄×C₁₉	—	2	1	no	—
133	C₂×C₄×C₁₉	—	2	1	no	—
134	C₂×C₄×C₁₉	—	2	1	no	—
135	C₂×C₄×C₁₉	—	2	1	no	—
136	C₂×C₄×C₁₉	—	2	1	no	—
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	2	1	no	—
139	C₂×C₄×C₁₉	—	2	1	no	—
140	C₂×C₄×C₁₉	—	4	2	no	—
141	C₂×C₄×C₁₉	—	4	2	no	—
142	C₂×C₄×C₁₉	—	4	2	no	—
143	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
144	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
145	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
146	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
148	C₈×C₁₉	—	2	1	no	—
149	C₈×C₁₉	—	2	1	no	—
150	C₈×C₁₉	—	2	1	no	—
151	C₈×C₁₉	—	2	1	no	—
152	#3321	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
153	C₂²×C₁₉	—	2	1	no	—
154	C₂²×C₁₉	—	2	1	no	—
155	C₂²×C₁₉	—	2	1	no	—
156	C₂²×C₁₉	—	2	1	no	—
157	C₂²×C₁₉	—	2	1	no	—
158	C₂²×C₁₉	—	2	1	no	—
159	C₂²×C₁₉	—	4	1	no	—
160	C₂²×C₁₉	—	4	1	no	—
161	C₂²×C₁₉	—	4	1	no	—
162	C₂²×C₁₉	—	4	1	no	—
163	C₂²×C₁₉	—	4	1	no	—
164	C₂²×C₁₉	—	4	1	no	—
165	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
166	C₄×C₁₉	—	2	1	no	—
167	C₄×C₁₉	—	2	1	no	—
168	C₄×C₁₉	—	2	2	no	—
169	C₄×C₁₉	—	2	1	no	—
170	C₄×C₁₉	—	2	1	no	—
171	C₄×C₁₉	—	4	1	no	—
172	C₄×C₁₉	—	4	1	no	—
173	C₄×C₁₉	—	4	1	no	—
174	C₄×C₁₉	—	4	1	no	—
175	C₄×C₁₉	—	4	1	no	—
176	C₄×C₁₉	C₂×#41	1	1	yes	characteristic
177	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
178	#555	C₂×C₁₉	1	1	yes	characteristic, complemented
179	#548	C₂×C₁₉	1	1	yes	characteristic, complemented
180	#489	C₂×C₁₉	1	1	yes	characteristic, complemented
181	#485	C₂×C₁₉	1	1	yes	characteristic, complemented
182	#482	C₂×C₁₉	1	1	yes	characteristic, complemented
183	#475	C₂×C₁₉	1	1	yes	characteristic, complemented
184	#469	C₂×C₁₉	1	1	yes	characteristic, complemented
185	#465	C₂×C₁₉	1	1	yes	characteristic, complemented
186	#463	C₂×C₁₉	1	1	yes	characteristic, complemented
187	#449	C₂×C₁₉	1	1	yes	characteristic, complemented
188	#448	C₂×C₁₉	1	1	yes	characteristic, complemented
189	#440	C₂×C₁₉	1	1	yes	characteristic, complemented
190	#435	C₂×C₁₉	1	1	yes	characteristic, complemented
191	#419	C₂×C₁₉	1	1	yes	characteristic, complemented
192	#416	C₂×C₁₉	1	1	yes	characteristic, complemented
193	C₂×C₁₉	—	4	1	no	—
194	C₂×C₁₉	—	4	1	no	—
195	C₂×C₁₉	—	8	1	no	—
196	C₂×C₁₉	—	8	1	no	—
197	C₂×C₁₉	#546	1	1	yes	characteristic
198	C₂×C₁₉	#575	1	1	yes	characteristic
199	C₂×C₁₉	#577	1	1	yes	characteristic
200	C₂×#41	C₂²×C₁₉	1	1	yes	characteristic
201	C₂²×Q₈	C₂²×C₁₉	1	1	yes	characteristic
202	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
203	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
204	C₂×D₈	C₂²×C₁₉	1	1	yes	characteristic
205	C₂×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
206	C₂²×C₈	C₂²×C₁₉	1	1	yes	characteristic
207	C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
208	#124	—	2	1	no	—
209	#124	—	2	1	no	—
210	#124	—	2	1	no	—
211	#124	C₂²×C₁₉	1	1	yes	characteristic
212	C₂²⋊Q₈	—	2	1	no	—
213	C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
214	#121	—	2	1	no	—
215	#121	—	2	1	no	—
216	#121	C₂²×C₁₉	1	1	yes	characteristic
217	#121	C₂²×C₁₉	1	1	yes	characteristic
218	#121	C₂²×C₁₉	1	1	yes	characteristic
219	C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
220	C₄×D₄	—	2	1	no	—
221	C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
222	C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
223	#117	—	2	1	no	—
224	#117	C₂²×C₁₉	1	1	yes	characteristic
225	#117	C₂²×C₁₉	1	1	yes	characteristic
226	#107	C₂²×C₁₉	1	1	yes	characteristic
227	#106	C₂²×C₁₉	1	1	yes	characteristic
228	#106	C₂²×C₁₉	1	1	yes	characteristic
229	C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
230	#103	C₂²×C₁₉	1	1	yes	characteristic
231	#103	C₂²×C₁₉	1	1	yes	characteristic
232	#103	C₂²×C₁₉	1	1	yes	characteristic
233	#103	C₂²×C₁₉	1	1	yes	characteristic
234	#103	C₂²×C₁₉	1	1	yes	characteristic
235	#103	C₂²×C₁₉	1	1	yes	characteristic
236	#102	C₂²×C₁₉	1	1	yes	characteristic
237	#102	C₂²×C₁₉	1	1	yes	characteristic
238	#102	C₂²×C₁₉	1	1	yes	characteristic
239	#102	C₂²×C₁₉	1	1	yes	characteristic
240	C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
241	C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
242	#97	C₂²×C₁₉	1	1	yes	characteristic
243	C₁₉	#3321	1	1	yes	characteristic, direct product factor, Sylow
244	#41	—	2	2	no	—
245	#41	—	4	1	no	—
246	C₂×Q₈	—	2	1	no	—
247	C₂×Q₈	—	2	1	no	—
248	C₂×Q₈	—	2	2	no	—
249	C₂×Q₈	—	4	1	no	—
250	C₂×Q₈	C₂³×C₁₉	1	1	yes	characteristic
251	C₂×Q₈	C₂³×C₁₉	1	1	yes	characteristic
252	C₂×D₄	—	2	1	no	—
253	C₂×D₄	—	2	1	no	—
254	C₂×D₄	—	2	1	no	—
255	C₂×D₄	—	2	1	no	—
256	C₂×D₄	D₄×C₁₉	1	1	yes	characteristic
257	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
258	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
259	C₂²×C₄	—	2	1	no	—
260	C₂²×C₄	—	2	1	no	—
261	C₂²×C₄	—	2	1	no	—
262	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
263	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
264	SD₁₆	—	2	2	no	—
265	SD₁₆	—	4	1	no	—
266	D₈	—	4	1	no	—
267	M₁₆	—	4	1	no	—
268	C₂×C₈	—	4	1	no	—
269	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
270	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
271	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
272	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
273	C₄⋊C₄	—	2	1	no	—
274	C₄⋊C₄	—	2	1	no	—
275	C₄⋊C₄	—	2	1	no	—
276	C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
277	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
278	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
279	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
280	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
281	C₂²⋊C₄	—	2	1	no	—
282	C₂²⋊C₄	—	2	1	no	—
283	C₂²⋊C₄	—	2	1	no	—
284	C₂²⋊C₄	—	2	1	no	—
285	C₂²⋊C₄	—	2	1	no	—
286	C₂²⋊C₄	—	2	1	no	—
287	C₂²⋊C₄	—	2	1	no	—
288	C₂²⋊C₄	—	2	1	no	—
289	C₂²⋊C₄	—	2	1	no	—
290	C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
291	C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
292	C₄²	—	2	1	no	—
293	C₄²	—	2	1	no	—
294	C₄²	—	2	1	no	—
295	C₄²	C₂³×C₁₉	1	1	yes	characteristic
296	C₂³	—	2	1	no	—
297	C₂³	—	2	1	no	—
298	C₂³	C₂×D₄×C₁₉	1	1	yes	characteristic
299	C₂³	C₂×D₄×C₁₉	1	1	yes	characteristic
300	Q₈	—	2	1	no	—
301	Q₈	—	2	1	no	—
302	Q₈	—	2	1	no	—
303	Q₈	—	4	2	no	—
304	Q₈	—	8	1	no	—
305	Q₈	#41×C₁₉	1	2	yes	—
306	D₄	—	2	1	no	—
307	D₄	—	2	1	no	—
308	D₄	—	2	1	no	—
309	D₄	—	2	1	no	—
310	D₄	—	4	1	no	—
311	D₄	—	4	2	no	—
312	D₄	—	4	2	no	—
313	D₄	—	8	1	no	—
314	D₄	—	8	1	no	—
315	C₂×C₄	—	2	1	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	4	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	—	4	2	no	—
328	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
329	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
330	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
331	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
332	C₂×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
333	C₈	—	2	1	no	—
334	C₈	—	2	1	no	—
335	C₈	—	2	1	no	—
336	C₈	—	2	1	no	—
337	C₂²	—	2	1	no	—
338	C₂²	—	2	1	no	—
339	C₂²	—	2	1	no	—
340	C₂²	—	2	1	no	—
341	C₂²	—	2	1	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	4	1	no	—
344	C₂²	—	4	1	no	—
345	C₂²	—	4	1	no	—
346	C₂²	—	4	1	no	—
347	C₂²	—	4	1	no	—
348	C₂²	—	4	1	no	—
349	C₂²	C₂²×D₄×C₁₉	1	1	yes	characteristic
350	C₄	—	2	1	no	—
351	C₄	—	2	1	no	—
352	C₄	—	2	2	no	—
353	C₄	—	2	1	no	—
354	C₄	—	2	1	no	—
355	C₄	—	4	1	no	—
356	C₄	—	4	1	no	—
357	C₄	—	4	1	no	—
358	C₄	—	4	1	no	—
359	C₄	—	4	1	no	—
360	C₄	C₂×#41×C₁₉	1	1	yes	characteristic
361	C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
362	C₂	—	4	1	no	—
363	C₂	—	4	1	no	—
364	C₂	—	8	1	no	—
365	C₂	—	8	1	no	—
366	C₂	C₁₉×#546	1	1	yes	characteristic
367	C₂	C₁₉×#575	1	1	yes	characteristic
368	C₂	C₁₉×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#555	C₂	semidirect
2. C₁₉×#548	C₂	semidirect
3. C₁₉×#489	C₂	semidirect
4. C₁₉×#485	C₂	semidirect
5. C₁₉×#482	C₂	semidirect
6. C₁₉×#475	C₂	semidirect
7. C₁₉×#469	C₂	semidirect
8. C₁₉×#465	C₂	semidirect
9. C₁₉×#463	C₂	semidirect
10. C₁₉×#449	C₂	semidirect
11. C₁₉×#448	C₂	semidirect
12. C₁₉×#440	C₂	semidirect
13. C₁₉×#435	C₂	semidirect
14. C₁₉×#419	C₂	semidirect
15. C₁₉×#416	C₂	semidirect
152. #3321	C₁₉	direct (N × H)
178. #555	C₂×C₁₉	semidirect
179. #548	C₂×C₁₉	semidirect
180. #489	C₂×C₁₉	semidirect
181. #485	C₂×C₁₉	semidirect
182. #482	C₂×C₁₉	semidirect
183. #475	C₂×C₁₉	semidirect
184. #469	C₂×C₁₉	semidirect
185. #465	C₂×C₁₉	semidirect
186. #463	C₂×C₁₉	semidirect
187. #449	C₂×C₁₉	semidirect
188. #448	C₂×C₁₉	semidirect
189. #440	C₂×C₁₉	semidirect
190. #435	C₂×C₁₉	semidirect
191. #419	C₂×C₁₉	semidirect
192. #416	C₂×C₁₉	semidirect
243. C₁₉	#3321	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₉×#555	2
C₁₉×#548	2
C₁₉×#489	2
C₁₉×#485	2
C₁₉×#482	2
C₁₉×#475	2
C₁₉×#469	2
C₁₉×#465	2
C₁₉×#463	2
C₁₉×#449	2
C₁₉×#448	2
C₁₉×#440	2
C₁₉×#435	2
C₁₉×#419	2
C₁₉×#416	2
#3321	19

Subgroups — C19×#3321 #14561178

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#3321 #14561178