Subgroups — C₁₉×#32993 #18038952

Order 4864.

1444 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#518	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3095	C₂	1	2	yes	maximal, complemented
3	C₁₉×#2435	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#1885	C₂	1	4	yes	maximal, complemented
5	C₁₉×#1856	C₂	1	4	yes	maximal, complemented
6	C₁₉×#1826	C₂	1	2	yes	maximal, complemented
7	C₁₉×#1783	C₂	1	1	yes	maximal, characteristic
8	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×#124	C₂²	1	2	yes	—
10	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
11	C₁₉×#518	—	2	2	no	—
12	C₁₉×#518	—	2	4	no	—
13	C₁₉×#518	C₂²	1	4	yes	—
14	C₂×C₄×D₄×C₁₉	—	2	2	no	—
15	C₂×C₄×D₄×C₁₉	—	2	2	no	—
16	C₂×C₁₉×#117	C₂²	1	2	yes	—
17	C₂²×C₂²⋊C₄×C₁₉	—	2	2	no	—
18	C₁₉×#485	—	2	4	no	—
19	C₁₉×#484	—	2	2	no	—
20	C₁₉×#483	—	2	2	no	—
21	C₁₉×#428	C₂²	1	4	yes	complemented
22	C₁₉×#419	C₂²	1	4	yes	complemented
23	C₂×C₁₉×#100	C₂²	1	4	yes	—
24	C₁₉×#407	C₂²	1	2	yes	—
25	C₁₉×#394	—	2	2	no	—
26	C₁₉×#390	C₂²	1	2	yes	—
27	C₁₉×#379	—	2	2	no	—
28	C₄×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₁₉×#339	C₂²	1	8	yes	complemented
30	C₂⁵×C₁₉	D₄	1	2	yes	—
31	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
32	C₂²×D₄×C₁₉	—	2	8	no	—
33	C₂²×D₄×C₁₉	—	2	2	no	—
34	C₂²×D₄×C₁₉	—	2	2	no	—
35	C₂²×D₄×C₁₉	D₄	1	2	yes	—
36	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
37	C₂³×C₄×C₁₉	—	2	2	no	—
38	C₂³×C₄×C₁₉	—	2	2	no	—
39	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
40	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
41	C₁₉×#124	—	2	8	no	—
42	C₁₉×C₂²⋊Q₈	—	2	2	no	—
43	C₁₉×C₂²⋊Q₈	—	2	2	no	—
44	C₄×D₄×C₁₉	—	2	8	no	—
45	C₄×D₄×C₁₉	—	2	8	no	—
46	C₄×D₄×C₁₉	—	2	8	no	—
47	C₄×D₄×C₁₉	—	2	8	no	—
48	C₁₉×#117	—	2	2	no	—
49	C₁₉×#117	—	2	2	no	—
50	C₁₉×#117	D₄	1	4	yes	—
51	C₁₉×#117	C₂³	1	4	yes	—
52	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
53	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
54	C₂×C₄⋊C₄×C₁₉	D₄	1	2	yes	—
55	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
57	C₂×C₂²⋊C₄×C₁₉	—	2	8	no	—
58	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
59	C₂×C₂²⋊C₄×C₁₉	—	2	8	no	—
60	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
61	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
62	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
63	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
64	C₂×C₄²×C₁₉	—	2	2	no	—
65	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
66	C₁₉×#107	—	2	4	no	—
67	C₁₉×#106	—	2	4	no	—
68	C₁₉×#103	—	2	4	no	—
69	C₁₉×#103	—	2	4	no	—
70	C₁₉×#100	—	2	8	no	—
71	C₁₉×C₂²⋊C₈	—	2	2	no	—
72	C₁₉×C₂²⋊C₈	—	2	2	no	—
73	C₁₉×#95	—	2	1	no	—
74	C₂⁴×C₁₉	—	2	2	no	—
75	C₂⁴×C₁₉	—	2	2	no	—
76	C₂⁴×C₁₉	—	2	8	no	—
77	C₂⁴×C₁₉	—	4	4	no	—
78	C₂⁴×C₁₉	—	8	2	no	—
79	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
80	C₂⁴×C₁₉	C₂×D₄	1	4	yes	—
81	C₂×Q₈×C₁₉	—	2	2	no	—
82	C₂×Q₈×C₁₉	—	2	4	no	—
83	C₂×D₄×C₁₉	—	2	16	no	—
84	C₂×D₄×C₁₉	—	2	16	no	—
85	C₂×D₄×C₁₉	—	2	8	no	—
86	C₂×D₄×C₁₉	—	2	4	no	—
87	C₂×D₄×C₁₉	—	2	4	no	—
88	C₂×D₄×C₁₉	—	2	4	no	—
89	C₂×D₄×C₁₉	#41	1	8	yes	—
90	C₂²×C₄×C₁₉	—	2	4	no	—
91	C₂²×C₄×C₁₉	—	2	2	no	—
92	C₂²×C₄×C₁₉	—	2	2	no	—
93	C₂²×C₄×C₁₉	—	2	8	no	—
94	C₂²×C₄×C₁₉	—	2	8	no	—
95	C₂²×C₄×C₁₉	—	2	2	no	—
96	C₂²×C₄×C₁₉	—	2	1	no	—
97	C₂²×C₄×C₁₉	—	2	1	no	—
98	C₂²×C₄×C₁₉	—	8	4	no	—
99	C₂²×C₄×C₁₉	—	8	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	2	yes	—
103	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
104	M₁₆×C₁₉	—	2	8	no	—
105	C₂×C₈×C₁₉	—	2	4	no	—
106	C₄⋊C₄×C₁₉	—	2	2	no	—
107	C₄⋊C₄×C₁₉	—	2	2	no	—
108	C₄⋊C₄×C₁₉	—	2	2	no	—
109	C₄⋊C₄×C₁₉	—	4	2	no	—
110	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
111	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
112	C₂²⋊C₄×C₁₉	—	2	16	no	—
113	C₂²⋊C₄×C₁₉	—	2	4	no	—
114	C₂²⋊C₄×C₁₉	—	2	4	no	—
115	C₂²⋊C₄×C₁₉	—	4	2	no	—
116	C₂²⋊C₄×C₁₉	—	4	1	no	—
117	C₂²⋊C₄×C₁₉	—	4	1	no	—
118	C₂²⋊C₄×C₁₉	—	4	8	no	—
119	C₂²⋊C₄×C₁₉	—	8	4	no	—
120	C₄²×C₁₉	—	2	4	no	—
121	C₄²×C₁₉	—	2	4	no	—
122	C₄²×C₁₉	—	2	4	no	—
123	#32993	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
124	C₂³×C₁₉	—	2	8	no	—
125	C₂³×C₁₉	—	2	8	no	—
126	C₂³×C₁₉	—	2	4	no	—
127	C₂³×C₁₉	—	2	2	no	—
128	C₂³×C₁₉	—	2	2	no	—
129	C₂³×C₁₉	—	2	4	no	—
130	C₂³×C₁₉	—	4	1	no	—
131	C₂³×C₁₉	—	4	4	no	—
132	C₂³×C₁₉	—	4	4	no	—
133	C₂³×C₁₉	—	4	4	no	—
134	C₂³×C₁₉	—	4	4	no	—
135	C₂³×C₁₉	—	8	2	no	—
136	C₂³×C₁₉	—	8	2	no	—
137	C₂³×C₁₉	—	8	16	no	—
138	C₂³×C₁₉	#120	1	1	yes	characteristic
139	C₂³×C₁₉	#120	1	1	yes	characteristic
140	C₂³×C₁₉	#123	1	8	yes	—
141	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
142	Q₈×C₁₉	—	4	4	no	—
143	D₄×C₁₉	—	2	16	no	—
144	D₄×C₁₉	—	2	16	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	4	no	—
150	C₂×C₄×C₁₉	—	4	4	no	—
151	C₂×C₄×C₁₉	—	4	4	no	—
152	C₂×C₄×C₁₉	—	4	2	no	—
153	C₂×C₄×C₁₉	—	4	2	no	—
154	C₂×C₄×C₁₉	—	4	2	no	—
155	C₂×C₄×C₁₉	—	4	1	no	—
156	C₂×C₄×C₁₉	—	4	1	no	—
157	C₂×C₄×C₁₉	—	4	2	no	—
158	C₂×C₄×C₁₉	—	4	2	no	—
159	C₂×C₄×C₁₉	—	8	8	no	—
160	C₂×C₄×C₁₉	—	8	8	no	—
161	C₂×C₄×C₁₉	#120	1	2	yes	—
162	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
163	C₂×C₄×C₁₉	C₂×#41	1	4	yes	—
164	C₈×C₁₉	—	4	4	no	—
165	C₂×#518	C₂×C₁₉	1	1	yes	characteristic
166	#3095	C₂×C₁₉	1	2	yes	complemented
167	#2435	C₂×C₁₉	1	1	yes	characteristic
168	#1885	C₂×C₁₉	1	4	yes	complemented
169	#1856	C₂×C₁₉	1	4	yes	complemented
170	#1826	C₂×C₁₉	1	2	yes	complemented
171	#1783	C₂×C₁₉	1	1	yes	characteristic
172	C₂²×C₁₉	—	2	1	no	—
173	C₂²×C₁₉	—	2	1	no	—
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	2	1	no	—
176	C₂²×C₁₉	—	2	1	no	—
177	C₂²×C₁₉	—	2	8	no	—
178	C₂²×C₁₉	—	2	1	no	—
179	C₂²×C₁₉	—	2	1	no	—
180	C₂²×C₁₉	—	4	4	no	—
181	C₂²×C₁₉	—	4	8	no	—
182	C₂²×C₁₉	—	4	16	no	—
183	C₂²×C₁₉	—	4	4	no	—
184	C₂²×C₁₉	—	4	4	no	—
185	C₂²×C₁₉	—	8	4	no	—
186	C₂²×C₁₉	—	8	8	no	—
187	C₂²×C₁₉	#455	1	2	yes	—
188	C₂²×C₁₉	C₂×#120	1	1	yes	characteristic
189	C₂²×C₁₉	C₂×#123	1	2	yes	—
190	C₄×C₁₉	—	2	2	no	—
191	C₄×C₁₉	—	4	4	no	—
192	C₄×C₁₉	—	4	4	no	—
193	C₄×C₁₉	—	8	2	no	—
194	C₄×C₁₉	—	8	1	no	—
195	C₄×C₁₉	—	8	1	no	—
196	C₄×C₁₉	#525	1	4	yes	—
197	C₂³×D₄	C₂²×C₁₉	1	1	yes	characteristic
198	C₂×#124	C₂²×C₁₉	1	2	yes	—
199	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
200	#518	—	2	2	no	—
201	#518	—	2	4	no	—
202	#518	C₂²×C₁₉	1	4	yes	—
203	C₂×C₄×D₄	—	2	2	no	—
204	C₂×C₄×D₄	—	2	2	no	—
205	C₂×#117	C₂²×C₁₉	1	2	yes	—
206	C₂²×C₂²⋊C₄	—	2	2	no	—
207	#485	—	2	4	no	—
208	#484	—	2	2	no	—
209	#483	—	2	2	no	—
210	#428	C₂²×C₁₉	1	4	yes	complemented
211	#419	C₂²×C₁₉	1	4	yes	complemented
212	C₂×#100	C₂²×C₁₉	1	4	yes	—
213	#407	C₂²×C₁₉	1	2	yes	—
214	#394	—	2	2	no	—
215	#390	C₂²×C₁₉	1	2	yes	—
216	#379	—	2	2	no	—
217	C₄×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
218	#339	C₂²×C₁₉	1	8	yes	complemented
219	C₂×C₁₉	—	2	2	no	—
220	C₂×C₁₉	—	2	2	no	—
221	C₂×C₁₉	—	4	1	no	—
222	C₂×C₁₉	—	4	8	no	—
223	C₂×C₁₉	#2849	1	1	yes	characteristic
224	C₂×C₁₉	C₂×#455	1	1	yes	characteristic
225	C₂×C₁₉	#3019	1	1	yes	characteristic
226	C₂⁵	D₄×C₁₉	1	2	yes	—
227	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
228	C₂²×D₄	—	2	8	no	—
229	C₂²×D₄	—	2	2	no	—
230	C₂²×D₄	—	2	2	no	—
231	C₂²×D₄	D₄×C₁₉	1	2	yes	—
232	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
233	C₂³×C₄	—	2	2	no	—
234	C₂³×C₄	—	2	2	no	—
235	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
236	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
237	#124	—	2	8	no	—
238	C₂²⋊Q₈	—	2	2	no	—
239	C₂²⋊Q₈	—	2	2	no	—
240	C₄×D₄	—	2	8	no	—
241	C₄×D₄	—	2	8	no	—
242	C₄×D₄	—	2	8	no	—
243	C₄×D₄	—	2	8	no	—
244	#117	—	2	2	no	—
245	#117	—	2	2	no	—
246	#117	D₄×C₁₉	1	4	yes	—
247	#117	C₂³×C₁₉	1	4	yes	—
248	C₂×C₄⋊C₄	—	2	1	no	—
249	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
250	C₂×C₄⋊C₄	D₄×C₁₉	1	2	yes	—
251	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
252	C₂×C₂²⋊C₄	—	2	4	no	—
253	C₂×C₂²⋊C₄	—	2	8	no	—
254	C₂×C₂²⋊C₄	—	2	2	no	—
255	C₂×C₂²⋊C₄	—	2	8	no	—
256	C₂×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₂²⋊C₄	—	2	4	no	—
258	C₂×C₂²⋊C₄	—	2	1	no	—
259	C₂×C₂²⋊C₄	—	2	4	no	—
260	C₂×C₄²	—	2	2	no	—
261	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
262	#107	—	2	4	no	—
263	#106	—	2	4	no	—
264	#103	—	2	4	no	—
265	#103	—	2	4	no	—
266	#100	—	2	8	no	—
267	C₂²⋊C₈	—	2	2	no	—
268	C₂²⋊C₈	—	2	2	no	—
269	#95	—	2	1	no	—
270	C₁₉	#32993	1	1	yes	characteristic, direct product factor, Sylow
271	C₂⁴	—	2	2	no	—
272	C₂⁴	—	2	2	no	—
273	C₂⁴	—	2	8	no	—
274	C₂⁴	—	4	4	no	—
275	C₂⁴	—	8	2	no	—
276	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
277	C₂⁴	C₂×D₄×C₁₉	1	4	yes	—
278	C₂×Q₈	—	2	2	no	—
279	C₂×Q₈	—	2	4	no	—
280	C₂×D₄	—	2	16	no	—
281	C₂×D₄	—	2	16	no	—
282	C₂×D₄	—	2	8	no	—
283	C₂×D₄	—	2	4	no	—
284	C₂×D₄	—	2	4	no	—
285	C₂×D₄	—	2	4	no	—
286	C₂×D₄	#41×C₁₉	1	8	yes	—
287	C₂²×C₄	—	2	4	no	—
288	C₂²×C₄	—	2	2	no	—
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	—	2	8	no	—
291	C₂²×C₄	—	2	8	no	—
292	C₂²×C₄	—	2	2	no	—
293	C₂²×C₄	—	2	1	no	—
294	C₂²×C₄	—	2	1	no	—
295	C₂²×C₄	—	8	4	no	—
296	C₂²×C₄	—	8	4	no	—
297	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
298	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
299	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
300	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
301	M₁₆	—	2	8	no	—
302	C₂×C₈	—	2	4	no	—
303	C₄⋊C₄	—	2	2	no	—
304	C₄⋊C₄	—	2	2	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	4	2	no	—
307	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
308	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
309	C₂²⋊C₄	—	2	16	no	—
310	C₂²⋊C₄	—	2	4	no	—
311	C₂²⋊C₄	—	2	4	no	—
312	C₂²⋊C₄	—	4	2	no	—
313	C₂²⋊C₄	—	4	1	no	—
314	C₂²⋊C₄	—	4	1	no	—
315	C₂²⋊C₄	—	4	8	no	—
316	C₂²⋊C₄	—	8	4	no	—
317	C₄²	—	2	4	no	—
318	C₄²	—	2	4	no	—
319	C₄²	—	2	4	no	—
320	C₂³	—	2	8	no	—
321	C₂³	—	2	8	no	—
322	C₂³	—	2	2	no	—
323	C₂³	—	2	4	no	—
324	C₂³	—	2	2	no	—
325	C₂³	—	2	4	no	—
326	C₂³	—	4	1	no	—
327	C₂³	—	4	4	no	—
328	C₂³	—	4	4	no	—
329	C₂³	—	4	4	no	—
330	C₂³	—	4	4	no	—
331	C₂³	—	8	2	no	—
332	C₂³	—	8	2	no	—
333	C₂³	—	8	16	no	—
334	C₂³	C₁₉×#120	1	1	yes	characteristic
335	C₂³	C₁₉×#120	1	1	yes	characteristic
336	C₂³	C₁₉×#123	1	8	yes	—
337	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
338	Q₈	—	4	4	no	—
339	D₄	—	2	16	no	—
340	D₄	—	2	16	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	4	no	—
343	C₂×C₄	—	2	4	no	—
344	C₂×C₄	—	2	4	no	—
345	C₂×C₄	—	2	4	no	—
346	C₂×C₄	—	4	4	no	—
347	C₂×C₄	—	4	4	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	1	no	—
352	C₂×C₄	—	4	1	no	—
353	C₂×C₄	—	4	2	no	—
354	C₂×C₄	—	4	2	no	—
355	C₂×C₄	—	8	8	no	—
356	C₂×C₄	—	8	8	no	—
357	C₂×C₄	C₁₉×#120	1	2	yes	—
358	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
359	C₂×C₄	C₂×#41×C₁₉	1	4	yes	—
360	C₈	—	4	4	no	—
361	C₂²	—	2	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	2	1	no	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	2	8	no	—
369	C₂²	—	4	4	no	—
370	C₂²	—	4	8	no	—
371	C₂²	—	4	16	no	—
372	C₂²	—	4	4	no	—
373	C₂²	—	4	4	no	—
374	C₂²	—	8	4	no	—
375	C₂²	—	8	8	no	—
376	C₂²	C₁₉×#455	1	2	yes	—
377	C₂²	C₂×C₁₉×#120	1	1	yes	characteristic
378	C₂²	C₂×C₁₉×#123	1	2	yes	—
379	C₄	—	2	2	no	—
380	C₄	—	4	4	no	—
381	C₄	—	4	4	no	—
382	C₄	—	8	2	no	—
383	C₄	—	8	1	no	—
384	C₄	—	8	1	no	—
385	C₄	C₁₉×#525	1	4	yes	—
386	C₂	—	2	2	no	—
387	C₂	—	2	2	no	—
388	C₂	—	4	1	no	—
389	C₂	—	4	8	no	—
390	C₂	C₁₉×#2849	1	1	yes	characteristic
391	C₂	C₂×C₁₉×#455	1	1	yes	characteristic
392	C₂	C₁₉×#3019	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#120
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂³×D₄×C₁₉	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂³×C₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#3095	C₂	semidirect
4. C₁₉×#1885	C₂	semidirect
5. C₁₉×#1856	C₂	semidirect
6. C₁₉×#1826	C₂	semidirect
21. C₁₉×#428	C₂²	semidirect
22. C₁₉×#419	C₂²	semidirect
29. C₁₉×#339	C₂²	semidirect
123. #32993	C₁₉	direct (N × H)
166. #3095	C₂×C₁₉	semidirect
168. #1885	C₂×C₁₉	semidirect
169. #1856	C₂×C₁₉	semidirect
170. #1826	C₂×C₁₉	semidirect
210. #428	C₂²×C₁₉	semidirect
211. #419	C₂²×C₁₉	semidirect
218. #339	C₂²×C₁₉	semidirect
270. C₁₉	#32993	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#518	2
C₁₉×#3095	2
C₁₉×#2435	2
C₁₉×#1885	2
C₁₉×#1856	2
C₁₉×#1826	2
C₁₉×#1783	2
#32993	19

Subgroups — C19×#32993 #18038952

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#32993 #18038952