Subgroups — C₁₉×#10033 #18015992

Order 4864.

550 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3135	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3101	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3100	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1955	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1481	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1480	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1275	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#533	C₂²	1	1	yes	characteristic
9	C₁₉×#532	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
11	C₁₉×#491	—	2	1	no	—
12	C₁₉×#490	—	2	1	no	—
13	C₁₉×#489	—	2	1	no	—
14	C₁₉×#489	—	2	1	no	—
15	C₁₉×#483	—	2	1	no	—
16	C₁₉×#480	—	2	1	no	—
17	C₁₉×#476	—	2	1	no	—
18	C₁₉×#474	—	2	1	no	—
19	C₁₉×#461	—	2	1	no	—
20	C₁₉×#459	—	2	1	no	—
21	C₁₉×#450	—	2	1	no	—
22	C₁₉×#447	—	2	1	no	—
23	C₄×SD₁₆×C₁₉	—	2	2	no	—
24	C₄×D₈×C₁₉	—	2	2	no	—
25	C₁₉×#431	C₂²	1	1	yes	characteristic
26	C₁₉×#431	C₂²	1	1	yes	characteristic
27	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
28	C₁₉×#416	—	2	2	no	—
29	C₂×C₁₉×C₂²⋊C₈	—	2	2	no	—
30	C₂×C₁₉×#97	C₂²	1	1	yes	characteristic
31	C₁₉×Q₈⋊C₈	—	2	2	no	—
32	C₁₉×D₄⋊C₈	—	2	2	no	—
33	C₂×#41×C₁₉	—	2	1	no	—
34	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
35	C₂³×C₄×C₁₉	—	2	1	no	—
36	C₂×SD₁₆×C₁₉	—	2	2	no	—
37	C₂×D₈×C₁₉	—	2	2	no	—
38	C₂²×C₈×C₁₉	—	2	1	no	—
39	C₂²×C₈×C₁₉	D₄	1	2	yes	—
40	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
41	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
42	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
43	C₁₉×#127	D₄	1	1	yes	characteristic
44	C₁₉×#125	—	2	1	no	—
45	C₁₉×#124	—	2	1	no	—
46	C₁₉×C₂²⋊Q₈	—	2	1	no	—
47	C₁₉×C₂²⋊Q₈	—	2	1	no	—
48	C₁₉×#121	—	2	1	no	—
49	C₁₉×#121	—	2	1	no	—
50	C₄×Q₈×C₁₉	—	2	1	no	—
51	C₄×Q₈×C₁₉	—	2	1	no	—
52	C₄×D₄×C₁₉	—	2	1	no	—
53	C₄×D₄×C₁₉	—	2	1	no	—
54	C₄×D₄×C₁₉	—	2	1	no	—
55	C₄×D₄×C₁₉	—	2	1	no	—
56	C₄×D₄×C₁₉	—	2	1	no	—
57	C₄×D₄×C₁₉	—	2	1	no	—
58	C₁₉×#117	—	2	1	no	—
59	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
60	C₂×C₂²⋊C₄×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	—	2	1	no	—
67	C₁₉×C₄⋊C₈	—	2	1	no	—
68	C₁₉×#103	—	2	2	no	—
69	C₁₉×#103	—	2	2	no	—
70	C₁₉×#103	—	2	2	no	—
71	C₁₉×#102	—	2	2	no	—
72	C₁₉×#102	—	2	2	no	—
73	C₁₉×#102	—	2	2	no	—
74	C₁₉×#102	—	2	2	no	—
75	C₁₉×#102	—	2	2	no	—
76	C₁₉×C₂²⋊C₈	—	2	1	no	—
77	C₁₉×C₂²⋊C₈	—	2	1	no	—
78	C₁₉×C₂²⋊C₈	—	4	4	no	—
79	C₁₉×#97	—	2	1	no	—
80	C₁₉×#97	—	2	1	no	—
81	C₄×C₈×C₁₉	D₄	1	2	yes	—
82	C₄×C₈×C₁₉	D₄	1	2	yes	—
83	C₂⁴×C₁₉	—	2	1	no	—
84	#41×C₁₉	—	4	2	no	—
85	#41×C₁₉	—	4	2	no	—
86	C₂×Q₈×C₁₉	—	2	1	no	—
87	C₂×Q₈×C₁₉	—	2	1	no	—
88	C₂×Q₈×C₁₉	—	2	1	no	—
89	C₂×D₄×C₁₉	—	2	1	no	—
90	C₂×D₄×C₁₉	—	2	1	no	—
91	C₂×D₄×C₁₉	—	2	1	no	—
92	C₂×D₄×C₁₉	—	2	1	no	—
93	C₂×D₄×C₁₉	—	2	1	no	—
94	C₂×D₄×C₁₉	—	4	2	no	—
95	C₂×D₄×C₁₉	—	4	1	no	—
96	C₂²×C₄×C₁₉	—	2	1	no	—
97	C₂²×C₄×C₁₉	—	4	1	no	—
98	C₂²×C₄×C₁₉	—	4	1	no	—
99	C₂²×C₄×C₁₉	—	4	1	no	—
100	C₂²×C₄×C₁₉	—	4	2	no	—
101	C₂²×C₄×C₁₉	—	4	2	no	—
102	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
105	SD₁₆×C₁₉	—	4	4	no	—
106	D₈×C₁₉	—	4	4	no	—
107	C₂×C₈×C₁₉	—	2	2	no	—
108	C₂×C₈×C₁₉	—	2	2	no	—
109	C₂×C₈×C₁₉	—	2	2	no	—
110	C₂×C₈×C₁₉	—	2	2	no	—
111	C₂×C₈×C₁₉	—	2	2	no	—
112	C₂×C₈×C₁₉	—	4	1	no	—
113	C₂×C₈×C₁₉	—	4	2	no	—
114	C₄⋊C₄×C₁₉	—	2	1	no	—
115	C₄⋊C₄×C₁₉	—	2	1	no	—
116	C₄⋊C₄×C₁₉	—	2	1	no	—
117	C₄⋊C₄×C₁₉	—	2	1	no	—
118	C₄⋊C₄×C₁₉	—	2	1	no	—
119	C₄⋊C₄×C₁₉	—	2	1	no	—
120	C₄⋊C₄×C₁₉	—	2	1	no	—
121	C₄⋊C₄×C₁₉	—	2	1	no	—
122	C₄⋊C₄×C₁₉	—	4	1	no	—
123	C₄⋊C₄×C₁₉	—	4	1	no	—
124	C₂²⋊C₄×C₁₉	—	4	1	no	—
125	C₂²⋊C₄×C₁₉	—	4	1	no	—
126	C₂²⋊C₄×C₁₉	—	4	1	no	—
127	C₂²⋊C₄×C₁₉	—	4	1	no	—
128	C₂²⋊C₄×C₁₉	—	4	1	no	—
129	C₄²×C₁₉	—	4	1	no	—
130	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
133	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
134	#10033	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
135	C₂³×C₁₉	—	2	2	no	—
136	C₂³×C₁₉	—	4	1	no	—
137	C₂³×C₁₉	—	4	2	no	—
138	C₂³×C₁₉	—	4	1	no	—
139	C₂³×C₁₉	—	4	2	no	—
140	C₂³×C₁₉	—	4	1	no	—
141	C₂³×C₁₉	#121	1	1	yes	characteristic
142	Q₈×C₁₉	—	4	2	no	—
143	Q₈×C₁₉	—	4	2	no	—
144	Q₈×C₁₉	—	4	2	no	—
145	D₄×C₁₉	—	2	2	no	—
146	D₄×C₁₉	—	2	2	no	—
147	D₄×C₁₉	—	4	1	no	—
148	D₄×C₁₉	—	4	1	no	—
149	D₄×C₁₉	—	4	2	no	—
150	D₄×C₁₉	—	4	2	no	—
151	D₄×C₁₉	—	4	2	no	—
152	D₄×C₁₉	—	8	2	no	—
153	C₂×C₄×C₁₉	—	4	1	no	—
154	C₂×C₄×C₁₉	—	4	1	no	—
155	C₂×C₄×C₁₉	—	4	1	no	—
156	C₂×C₄×C₁₉	—	4	1	no	—
157	C₂×C₄×C₁₉	—	4	1	no	—
158	C₂×C₄×C₁₉	—	4	1	no	—
159	C₂×C₄×C₁₉	—	4	2	no	—
160	C₂×C₄×C₁₉	—	8	2	no	—
161	C₂×C₄×C₁₉	—	8	1	no	—
162	C₂×C₄×C₁₉	—	8	1	no	—
163	C₂×C₄×C₁₉	—	8	1	no	—
164	C₂×C₄×C₁₉	—	8	1	no	—
165	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
166	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
167	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
168	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
169	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
170	C₂×C₄×C₁₉	#127	1	1	yes	characteristic
171	C₂×C₄×C₁₉	#135	1	2	yes	—
172	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
173	C₈×C₁₉	—	4	2	no	—
174	C₈×C₁₉	—	4	2	no	—
175	C₈×C₁₉	—	4	2	no	—
176	C₈×C₁₉	—	8	1	no	—
177	#3135	C₂×C₁₉	1	1	yes	characteristic, complemented
178	#3101	C₂×C₁₉	1	1	yes	characteristic, complemented
179	#3100	C₂×C₁₉	1	1	yes	characteristic
180	#1955	C₂×C₁₉	1	1	yes	characteristic, complemented
181	#1481	C₂×C₁₉	1	1	yes	characteristic, complemented
182	#1480	C₂×C₁₉	1	1	yes	characteristic, complemented
183	#1275	C₂×C₁₉	1	1	yes	characteristic, complemented
184	C₂²×C₁₉	—	2	1	no	—
185	C₂²×C₁₉	—	2	1	no	—
186	C₂²×C₁₉	—	4	4	no	—
187	C₂²×C₁₉	—	4	2	no	—
188	C₂²×C₁₉	—	8	2	no	—
189	C₂²×C₁₉	—	8	1	no	—
190	C₂²×C₁₉	—	8	1	no	—
191	C₂²×C₁₉	—	8	1	no	—
192	C₂²×C₁₉	—	8	1	no	—
193	C₂²×C₁₉	—	8	1	no	—
194	C₂²×C₁₉	#392	1	1	yes	characteristic
195	C₂²×C₁₉	#463	1	2	yes	—
196	C₄×C₁₉	—	2	1	no	—
197	C₄×C₁₉	—	2	1	no	—
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	2	1	no	—
200	C₄×C₁₉	—	8	1	no	—
201	C₄×C₁₉	—	8	1	no	—
202	C₄×C₁₉	—	8	1	no	—
203	C₄×C₁₉	—	8	1	no	—
204	C₄×C₁₉	#449	1	2	yes	—
205	C₄×C₁₉	#495	1	1	yes	characteristic
206	C₄×C₁₉	#496	1	1	yes	characteristic
207	#533	C₂²×C₁₉	1	1	yes	characteristic
208	#532	C₂²×C₁₉	1	1	yes	characteristic
209	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
210	#491	—	2	1	no	—
211	#490	—	2	1	no	—
212	#489	—	2	1	no	—
213	#489	—	2	1	no	—
214	#483	—	2	1	no	—
215	#480	—	2	1	no	—
216	#476	—	2	1	no	—
217	#474	—	2	1	no	—
218	#461	—	2	1	no	—
219	#459	—	2	1	no	—
220	#450	—	2	1	no	—
221	#447	—	2	1	no	—
222	C₄×SD₁₆	—	2	2	no	—
223	C₄×D₈	—	2	2	no	—
224	#431	C₂²×C₁₉	1	1	yes	characteristic
225	#431	C₂²×C₁₉	1	1	yes	characteristic
226	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
227	#416	—	2	2	no	—
228	C₂×C₂²⋊C₈	—	2	2	no	—
229	C₂×#97	C₂²×C₁₉	1	1	yes	characteristic
230	Q₈⋊C₈	—	2	2	no	—
231	D₄⋊C₈	—	2	2	no	—
232	C₂×C₁₉	—	2	2	no	—
233	C₂×C₁₉	—	8	2	no	—
234	C₂×C₁₉	—	16	1	no	—
235	C₂×C₁₉	#2010	1	1	yes	characteristic
236	C₂×C₁₉	#2012	1	1	yes	characteristic
237	C₂×C₁₉	#2017	1	1	yes	characteristic
238	C₂×#41	—	2	1	no	—
239	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
240	C₂³×C₄	—	2	1	no	—
241	C₂×SD₁₆	—	2	2	no	—
242	C₂×D₈	—	2	2	no	—
243	C₂²×C₈	—	2	1	no	—
244	C₂²×C₈	D₄×C₁₉	1	2	yes	—
245	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
246	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
247	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
248	#127	D₄×C₁₉	1	1	yes	characteristic
249	#125	—	2	1	no	—
250	#124	—	2	1	no	—
251	C₂²⋊Q₈	—	2	1	no	—
252	C₂²⋊Q₈	—	2	1	no	—
253	#121	—	2	1	no	—
254	#121	—	2	1	no	—
255	C₄×Q₈	—	2	1	no	—
256	C₄×Q₈	—	2	1	no	—
257	C₄×D₄	—	2	1	no	—
258	C₄×D₄	—	2	1	no	—
259	C₄×D₄	—	2	1	no	—
260	C₄×D₄	—	2	1	no	—
261	C₄×D₄	—	2	1	no	—
262	C₄×D₄	—	2	1	no	—
263	#117	—	2	1	no	—
264	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
265	C₂×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
267	#107	—	2	2	no	—
268	#106	—	2	2	no	—
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	2	1	no	—
271	C₄⋊C₈	—	2	1	no	—
272	C₄⋊C₈	—	2	1	no	—
273	#103	—	2	2	no	—
274	#103	—	2	2	no	—
275	#103	—	2	2	no	—
276	#102	—	2	2	no	—
277	#102	—	2	2	no	—
278	#102	—	2	2	no	—
279	#102	—	2	2	no	—
280	#102	—	2	2	no	—
281	C₂²⋊C₈	—	2	1	no	—
282	C₂²⋊C₈	—	2	1	no	—
283	C₂²⋊C₈	—	4	4	no	—
284	#97	—	2	1	no	—
285	#97	—	2	1	no	—
286	C₄×C₈	D₄×C₁₉	1	2	yes	—
287	C₄×C₈	D₄×C₁₉	1	2	yes	—
288	C₁₉	#10033	1	1	yes	characteristic, direct product factor, Sylow
289	C₂⁴	—	2	1	no	—
290	#41	—	4	2	no	—
291	#41	—	4	2	no	—
292	C₂×Q₈	—	2	1	no	—
293	C₂×Q₈	—	2	1	no	—
294	C₂×Q₈	—	2	1	no	—
295	C₂×D₄	—	2	1	no	—
296	C₂×D₄	—	2	1	no	—
297	C₂×D₄	—	2	1	no	—
298	C₂×D₄	—	2	1	no	—
299	C₂×D₄	—	2	1	no	—
300	C₂×D₄	—	4	2	no	—
301	C₂×D₄	—	4	1	no	—
302	C₂²×C₄	—	2	1	no	—
303	C₂²×C₄	—	4	1	no	—
304	C₂²×C₄	—	4	1	no	—
305	C₂²×C₄	—	4	1	no	—
306	C₂²×C₄	—	4	2	no	—
307	C₂²×C₄	—	4	2	no	—
308	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
309	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
310	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
311	SD₁₆	—	4	4	no	—
312	D₈	—	4	4	no	—
313	C₂×C₈	—	2	2	no	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	—	4	1	no	—
319	C₂×C₈	—	4	2	no	—
320	C₄⋊C₄	—	2	1	no	—
321	C₄⋊C₄	—	2	1	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	2	1	no	—
325	C₄⋊C₄	—	2	1	no	—
326	C₄⋊C₄	—	2	1	no	—
327	C₄⋊C₄	—	2	1	no	—
328	C₄⋊C₄	—	4	1	no	—
329	C₄⋊C₄	—	4	1	no	—
330	C₂²⋊C₄	—	4	1	no	—
331	C₂²⋊C₄	—	4	1	no	—
332	C₂²⋊C₄	—	4	1	no	—
333	C₂²⋊C₄	—	4	1	no	—
334	C₂²⋊C₄	—	4	1	no	—
335	C₄²	—	4	1	no	—
336	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
337	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
338	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
339	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
340	C₂³	—	2	2	no	—
341	C₂³	—	4	1	no	—
342	C₂³	—	4	2	no	—
343	C₂³	—	4	1	no	—
344	C₂³	—	4	2	no	—
345	C₂³	—	4	1	no	—
346	C₂³	C₁₉×#121	1	1	yes	characteristic
347	Q₈	—	4	2	no	—
348	Q₈	—	4	2	no	—
349	Q₈	—	4	2	no	—
350	D₄	—	2	2	no	—
351	D₄	—	2	2	no	—
352	D₄	—	4	1	no	—
353	D₄	—	4	1	no	—
354	D₄	—	4	2	no	—
355	D₄	—	4	2	no	—
356	D₄	—	4	2	no	—
357	D₄	—	8	2	no	—
358	C₂×C₄	—	4	1	no	—
359	C₂×C₄	—	4	1	no	—
360	C₂×C₄	—	4	1	no	—
361	C₂×C₄	—	4	1	no	—
362	C₂×C₄	—	4	1	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	—	4	2	no	—
365	C₂×C₄	—	8	2	no	—
366	C₂×C₄	—	8	1	no	—
367	C₂×C₄	—	8	1	no	—
368	C₂×C₄	—	8	1	no	—
369	C₂×C₄	—	8	1	no	—
370	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
371	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
372	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
373	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
374	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
375	C₂×C₄	C₁₉×#127	1	1	yes	characteristic
376	C₂×C₄	C₁₉×#135	1	2	yes	—
377	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
378	C₈	—	4	2	no	—
379	C₈	—	4	2	no	—
380	C₈	—	4	2	no	—
381	C₈	—	8	1	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	4	4	no	—
385	C₂²	—	4	2	no	—
386	C₂²	—	8	2	no	—
387	C₂²	—	8	1	no	—
388	C₂²	—	8	1	no	—
389	C₂²	—	8	1	no	—
390	C₂²	—	8	1	no	—
391	C₂²	—	8	1	no	—
392	C₂²	C₁₉×#392	1	1	yes	characteristic
393	C₂²	C₁₉×#463	1	2	yes	—
394	C₄	—	2	1	no	—
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	8	1	no	—
399	C₄	—	8	1	no	—
400	C₄	—	8	1	no	—
401	C₄	—	8	1	no	—
402	C₄	C₁₉×#449	1	2	yes	—
403	C₄	C₁₉×#495	1	1	yes	characteristic
404	C₄	C₁₉×#496	1	1	yes	characteristic
405	C₂	—	2	2	no	—
406	C₂	—	8	2	no	—
407	C₂	—	16	1	no	—
408	C₂	C₁₉×#2010	1	1	yes	characteristic
409	C₂	C₁₉×#2012	1	1	yes	characteristic
410	C₂	C₁₉×#2017	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₉	#127
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
socle	C₂²×C₁₉	#392
prime radical	C₁₉×#3100	C₂
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3135	C₂	semidirect
2. C₁₉×#3101	C₂	semidirect
4. C₁₉×#1955	C₂	semidirect
5. C₁₉×#1481	C₂	semidirect
6. C₁₉×#1480	C₂	semidirect
7. C₁₉×#1275	C₂	semidirect
134. #10033	C₁₉	direct (N × H)
177. #3135	C₂×C₁₉	semidirect
178. #3101	C₂×C₁₉	semidirect
180. #1955	C₂×C₁₉	semidirect
181. #1481	C₂×C₁₉	semidirect
182. #1480	C₂×C₁₉	semidirect
183. #1275	C₂×C₁₉	semidirect
288. C₁₉	#10033	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×#3135	2
C₁₉×#3101	2
C₁₉×#3100	2
C₁₉×#1955	2
C₁₉×#1481	2
C₁₉×#1480	2
C₁₉×#1275	2
#10033	19

Subgroups — C19×#10033 #18015992

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10033 #18015992