Subgroups — C₁₉×#3309 #14561166

Order 2432.

404 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#550	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#490	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#482	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#480	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#479	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#469	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#466	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#459	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#449	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#449	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×#417	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	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic
18	C₂×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
19	C₂×D₈×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×#127	—	2	1	no	—
24	C₁₉×#127	C₂²	1	1	yes	characteristic
25	C₁₉×#126	—	2	1	no	—
26	C₁₉×#125	C₂²	1	1	yes	characteristic
27	C₁₉×#123	—	2	1	no	—
28	C₁₉×#121	—	2	1	no	—
29	C₁₉×#121	—	2	1	no	—
30	C₁₉×#121	—	2	1	no	—
31	C₁₉×#121	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
38	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
39	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
40	C₁₉×#117	C₂²	1	1	yes	characteristic
41	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
42	C₁₉×#107	C₂²	1	1	yes	characteristic
43	C₁₉×#107	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×#102	C₂²	1	1	yes	characteristic
50	C₁₉×#102	C₂²	1	1	yes	characteristic
51	C₁₉×#102	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	—	2	2	no	—
61	#41×C₁₉	—	4	1	no	—
62	#41×C₁₉	—	4	1	no	—
63	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
64	C₂×D₄×C₁₉	—	2	1	no	—
65	C₂×D₄×C₁₉	—	2	1	no	—
66	C₂×D₄×C₁₉	—	2	1	no	—
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	—	2	1	no	—
72	C₂×D₄×C₁₉	D₄	1	1	yes	characteristic
73	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
74	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
75	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
76	C₂²×C₄×C₁₉	—	2	1	no	—
77	C₂²×C₄×C₁₉	—	2	1	no	—
78	C₂²×C₄×C₁₉	—	2	1	no	—
79	C₂²×C₄×C₁₉	—	2	1	no	—
80	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
81	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
82	SD₁₆×C₁₉	—	2	2	no	—
83	D₈×C₁₉	—	4	1	no	—
84	D₈×C₁₉	—	4	1	no	—
85	M₁₆×C₁₉	—	4	1	no	—
86	C₂×C₈×C₁₉	—	4	1	no	—
87	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
88	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
89	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
90	C₂×C₈×C₁₉	C₂³	1	1	yes	characteristic
91	C₄⋊C₄×C₁₉	—	2	1	no	—
92	C₄⋊C₄×C₁₉	—	2	1	no	—
93	C₄⋊C₄×C₁₉	—	2	1	no	—
94	C₄⋊C₄×C₁₉	—	2	1	no	—
95	C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
96	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
97	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
98	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
99	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
106	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
107	C₂²⋊C₄×C₁₉	D₄	1	1	yes	characteristic
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	—	2	1	no	—
114	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
115	C₂³×C₁₉	C₂×D₄	1	1	yes	characteristic
116	Q₈×C₁₉	—	2	1	no	—
117	Q₈×C₁₉	#41	1	2	yes	—
118	D₄×C₁₉	—	2	1	no	—
119	D₄×C₁₉	—	2	1	no	—
120	D₄×C₁₉	—	2	1	no	—
121	D₄×C₁₉	—	2	1	no	—
122	D₄×C₁₉	—	2	1	no	—
123	D₄×C₁₉	—	2	1	no	—
124	D₄×C₁₉	—	4	1	no	—
125	D₄×C₁₉	—	4	2	no	—
126	D₄×C₁₉	—	4	2	no	—
127	D₄×C₁₉	—	4	2	no	—
128	D₄×C₁₉	—	4	2	no	—
129	D₄×C₁₉	—	8	1	no	—
130	D₄×C₁₉	—	8	1	no	—
131	D₄×C₁₉	—	8	1	no	—
132	D₄×C₁₉	—	8	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	—	2	1	no	—
141	C₂×C₄×C₁₉	—	2	1	no	—
142	C₂×C₄×C₁₉	—	4	2	no	—
143	C₂×C₄×C₁₉	—	4	2	no	—
144	C₂×C₄×C₁₉	—	8	1	no	—
145	C₂×C₄×C₁₉	—	8	1	no	—
146	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
148	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
150	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
151	C₈×C₁₉	—	2	1	no	—
152	C₈×C₁₉	—	2	1	no	—
153	C₈×C₁₉	—	2	1	no	—
154	C₈×C₁₉	—	2	1	no	—
155	#3309	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
156	C₂²×C₁₉	—	2	1	no	—
157	C₂²×C₁₉	—	2	1	no	—
158	C₂²×C₁₉	—	2	1	no	—
159	C₂²×C₁₉	—	2	1	no	—
160	C₂²×C₁₉	—	2	1	no	—
161	C₂²×C₁₉	—	2	1	no	—
162	C₂²×C₁₉	—	4	1	no	—
163	C₂²×C₁₉	—	4	1	no	—
164	C₂²×C₁₉	—	4	1	no	—
165	C₂²×C₁₉	—	4	1	no	—
166	C₂²×C₁₉	—	4	1	no	—
167	C₂²×C₁₉	—	4	1	no	—
168	C₂²×C₁₉	—	4	1	no	—
169	C₂²×C₁₉	—	4	1	no	—
170	C₂²×C₁₉	—	4	1	no	—
171	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
172	C₄×C₁₉	—	2	1	no	—
173	C₄×C₁₉	—	2	1	no	—
174	C₄×C₁₉	—	2	2	no	—
175	C₄×C₁₉	—	2	1	no	—
176	C₄×C₁₉	—	2	1	no	—
177	C₄×C₁₉	—	4	1	no	—
178	C₄×C₁₉	—	4	1	no	—
179	C₄×C₁₉	—	4	1	no	—
180	C₄×C₁₉	—	4	1	no	—
181	C₄×C₁₉	C₂×#41	1	1	yes	characteristic
182	C₄×C₁₉	H(5,𝔽₂)	1	1	yes	characteristic
183	#553	C₂×C₁₉	1	1	yes	characteristic, complemented
184	#550	C₂×C₁₉	1	1	yes	characteristic, complemented
185	#490	C₂×C₁₉	1	1	yes	characteristic, complemented
186	#482	C₂×C₁₉	1	1	yes	characteristic, complemented
187	#480	C₂×C₁₉	1	1	yes	characteristic, complemented
188	#479	C₂×C₁₉	1	1	yes	characteristic, complemented
189	#469	C₂×C₁₉	1	1	yes	characteristic, complemented
190	#466	C₂×C₁₉	1	1	yes	characteristic, complemented
191	#459	C₂×C₁₉	1	1	yes	characteristic, complemented
192	#449	C₂×C₁₉	1	1	yes	characteristic, complemented
193	#449	C₂×C₁₉	1	1	yes	characteristic, complemented
194	#440	C₂×C₁₉	1	1	yes	characteristic, complemented
195	#435	C₂×C₁₉	1	1	yes	characteristic, complemented
196	#417	C₂×C₁₉	1	1	yes	characteristic, complemented
197	#416	C₂×C₁₉	1	1	yes	characteristic, complemented
198	C₂×C₁₉	—	4	1	no	—
199	C₂×C₁₉	—	4	1	no	—
200	C₂×C₁₉	—	8	1	no	—
201	C₂×C₁₉	—	8	1	no	—
202	C₂×C₁₉	—	8	1	no	—
203	C₂×C₁₉	#546	1	1	yes	characteristic
204	C₂×C₁₉	#575	1	1	yes	characteristic
205	C₂×C₁₉	#576	1	1	yes	characteristic
206	C₂×#41	C₂²×C₁₉	1	1	yes	characteristic
207	C₂×#41	C₂²×C₁₉	1	1	yes	characteristic
208	C₂×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
209	C₂×D₈	C₂²×C₁₉	1	1	yes	characteristic
210	C₂×D₈	C₂²×C₁₉	1	1	yes	characteristic
211	C₂×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
212	C₂²×C₈	C₂²×C₁₉	1	1	yes	characteristic
213	#127	—	2	1	no	—
214	#127	C₂²×C₁₉	1	1	yes	characteristic
215	#126	—	2	1	no	—
216	#125	C₂²×C₁₉	1	1	yes	characteristic
217	#123	—	2	1	no	—
218	#121	—	2	1	no	—
219	#121	—	2	1	no	—
220	#121	—	2	1	no	—
221	#121	C₂²×C₁₉	1	1	yes	characteristic
222	#121	C₂²×C₁₉	1	1	yes	characteristic
223	#121	C₂²×C₁₉	1	1	yes	characteristic
224	#121	C₂²×C₁₉	1	1	yes	characteristic
225	C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
226	C₄×D₄	—	2	1	no	—
227	C₄×D₄	—	2	1	no	—
228	C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
229	C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
230	#117	C₂²×C₁₉	1	1	yes	characteristic
231	C₂×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
232	#107	C₂²×C₁₉	1	1	yes	characteristic
233	#107	C₂²×C₁₉	1	1	yes	characteristic
234	#106	C₂²×C₁₉	1	1	yes	characteristic
235	C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
236	#103	C₂²×C₁₉	1	1	yes	characteristic
237	#103	C₂²×C₁₉	1	1	yes	characteristic
238	#103	C₂²×C₁₉	1	1	yes	characteristic
239	#102	C₂²×C₁₉	1	1	yes	characteristic
240	#102	C₂²×C₁₉	1	1	yes	characteristic
241	#102	C₂²×C₁₉	1	1	yes	characteristic
242	#102	C₂²×C₁₉	1	1	yes	characteristic
243	#102	C₂²×C₁₉	1	1	yes	characteristic
244	#102	C₂²×C₁₉	1	1	yes	characteristic
245	#102	C₂²×C₁₉	1	1	yes	characteristic
246	C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
247	C₂²⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
248	#97	C₂²×C₁₉	1	1	yes	characteristic
249	C₁₉	#3309	1	1	yes	characteristic, direct product factor, Sylow
250	#41	—	2	2	no	—
251	#41	—	2	2	no	—
252	#41	—	4	1	no	—
253	#41	—	4	1	no	—
254	C₂×Q₈	C₂³×C₁₉	1	1	yes	characteristic
255	C₂×D₄	—	2	1	no	—
256	C₂×D₄	—	2	1	no	—
257	C₂×D₄	—	2	1	no	—
258	C₂×D₄	—	2	1	no	—
259	C₂×D₄	—	2	1	no	—
260	C₂×D₄	—	2	1	no	—
261	C₂×D₄	—	2	1	no	—
262	C₂×D₄	—	2	1	no	—
263	C₂×D₄	D₄×C₁₉	1	1	yes	characteristic
264	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
265	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
266	C₂×D₄	C₂³×C₁₉	1	1	yes	characteristic
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	1	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	2	1	no	—
271	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
272	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
273	SD₁₆	—	2	2	no	—
274	D₈	—	4	1	no	—
275	D₈	—	4	1	no	—
276	M₁₆	—	4	1	no	—
277	C₂×C₈	—	4	1	no	—
278	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
279	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
280	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
281	C₂×C₈	C₂³×C₁₉	1	1	yes	characteristic
282	C₄⋊C₄	—	2	1	no	—
283	C₄⋊C₄	—	2	1	no	—
284	C₄⋊C₄	—	2	1	no	—
285	C₄⋊C₄	—	2	1	no	—
286	C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
287	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
288	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
289	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
290	C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
291	C₂²⋊C₄	—	2	1	no	—
292	C₂²⋊C₄	—	2	1	no	—
293	C₂²⋊C₄	—	2	1	no	—
294	C₂²⋊C₄	—	2	1	no	—
295	C₂²⋊C₄	—	2	1	no	—
296	C₂²⋊C₄	—	2	1	no	—
297	C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
298	C₂²⋊C₄	D₄×C₁₉	1	1	yes	characteristic
299	C₄²	—	2	1	no	—
300	C₄²	—	2	1	no	—
301	C₄²	C₂³×C₁₉	1	1	yes	characteristic
302	C₂³	—	2	1	no	—
303	C₂³	—	2	1	no	—
304	C₂³	—	2	1	no	—
305	C₂³	C₂×D₄×C₁₉	1	1	yes	characteristic
306	C₂³	C₂×D₄×C₁₉	1	1	yes	characteristic
307	Q₈	—	2	1	no	—
308	Q₈	#41×C₁₉	1	2	yes	—
309	D₄	—	2	1	no	—
310	D₄	—	2	1	no	—
311	D₄	—	2	1	no	—
312	D₄	—	2	1	no	—
313	D₄	—	2	1	no	—
314	D₄	—	2	1	no	—
315	D₄	—	4	1	no	—
316	D₄	—	4	2	no	—
317	D₄	—	4	2	no	—
318	D₄	—	4	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	8	1	no	—
321	D₄	—	8	1	no	—
322	D₄	—	8	1	no	—
323	D₄	—	8	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	8	1	no	—
336	C₂×C₄	—	8	1	no	—
337	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
338	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
339	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
340	C₂×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
341	C₂×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
342	C₈	—	2	1	no	—
343	C₈	—	2	1	no	—
344	C₈	—	2	1	no	—
345	C₈	—	2	1	no	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	1	no	—
354	C₂²	—	4	1	no	—
355	C₂²	—	4	1	no	—
356	C₂²	—	4	1	no	—
357	C₂²	—	4	1	no	—
358	C₂²	—	4	1	no	—
359	C₂²	—	4	1	no	—
360	C₂²	—	4	1	no	—
361	C₂²	C₂²×D₄×C₁₉	1	1	yes	characteristic
362	C₄	—	2	1	no	—
363	C₄	—	2	1	no	—
364	C₄	—	2	2	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	4	1	no	—
368	C₄	—	4	1	no	—
369	C₄	—	4	1	no	—
370	C₄	—	4	1	no	—
371	C₄	C₂×#41×C₁₉	1	1	yes	characteristic
372	C₄	C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
373	C₂	—	4	1	no	—
374	C₂	—	4	1	no	—
375	C₂	—	8	1	no	—
376	C₂	—	8	1	no	—
377	C₂	—	8	1	no	—
378	C₂	C₁₉×#546	1	1	yes	characteristic
379	C₂	C₁₉×#575	1	1	yes	characteristic
380	C₂	C₁₉×#576	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×#553	C₂	semidirect
2. C₁₉×#550	C₂	semidirect
3. C₁₉×#490	C₂	semidirect
4. C₁₉×#482	C₂	semidirect
5. C₁₉×#480	C₂	semidirect
6. C₁₉×#479	C₂	semidirect
7. C₁₉×#469	C₂	semidirect
8. C₁₉×#466	C₂	semidirect
9. C₁₉×#459	C₂	semidirect
10. C₁₉×#449	C₂	semidirect
11. C₁₉×#449	C₂	semidirect
12. C₁₉×#440	C₂	semidirect
13. C₁₉×#435	C₂	semidirect
14. C₁₉×#417	C₂	semidirect
15. C₁₉×#416	C₂	semidirect
155. #3309	C₁₉	direct (N × H)
183. #553	C₂×C₁₉	semidirect
184. #550	C₂×C₁₉	semidirect
185. #490	C₂×C₁₉	semidirect
186. #482	C₂×C₁₉	semidirect
187. #480	C₂×C₁₉	semidirect
188. #479	C₂×C₁₉	semidirect
189. #469	C₂×C₁₉	semidirect
190. #466	C₂×C₁₉	semidirect
191. #459	C₂×C₁₉	semidirect
192. #449	C₂×C₁₉	semidirect
193. #449	C₂×C₁₉	semidirect
194. #440	C₂×C₁₉	semidirect
195. #435	C₂×C₁₉	semidirect
196. #417	C₂×C₁₉	semidirect
197. #416	C₂×C₁₉	semidirect
249. C₁₉	#3309	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×#553	2
C₁₉×#550	2
C₁₉×#490	2
C₁₉×#482	2
C₁₉×#480	2
C₁₉×#479	2
C₁₉×#469	2
C₁₉×#466	2
C₁₉×#459	2
C₁₉×#449	2
C₁₉×#440	2
C₁₉×#435	2
C₁₉×#417	2
C₁₉×#416	2
#3309	19

Subgroups — C19×#3309 #14561166

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#3309 #14561166