Subgroups — C₂×C₁₉×#1819 #18026645

Order 4864.

3118 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₂²⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#379	C₂	1	2	yes	maximal
3	C₁₉×#1819	C₂	1	8	yes	maximal, direct product factor
4	C₂×C₁₉×#342	C₂	1	4	yes	maximal, complemented
5	C₂⁶×C₁₉	C₂²	1	1	yes	characteristic
6	C₂⁴×C₄×C₁₉	C₄	1	2	yes	complemented
7	C₂²×C₂²⋊C₄×C₁₉	—	2	4	no	—
8	C₂²×C₂²⋊C₄×C₁₉	—	2	4	no	—
9	C₂²×C₂²⋊C₄×C₁₉	—	2	4	no	—
10	C₂²×C₂²⋊C₄×C₁₉	C₄	1	4	yes	complemented
11	C₂²×C₂²⋊C₄×C₁₉	C₄	1	2	yes	complemented
12	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	—
13	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
14	C₂²×C₂²⋊C₄×C₁₉	C₂²	1	4	yes	—
15	C₁₉×#379	—	2	4	no	—
16	C₁₉×#379	C₂²	1	8	yes	—
17	C₁₉×#342	C₂²	1	16	yes	complemented
18	C₂⁵×C₁₉	—	2	8	no	—
19	C₂⁵×C₁₉	—	4	8	no	—
20	C₂⁵×C₁₉	C₂×C₄	1	1	yes	characteristic
21	C₂⁵×C₁₉	C₂×C₄	1	1	yes	characteristic
22	C₂⁵×C₁₉	C₂×C₄	1	2	yes	—
23	C₂⁵×C₁₉	D₄	1	4	yes	—
24	C₂⁵×C₁₉	D₄	1	4	yes	—
25	C₂⁵×C₁₉	C₂³	1	2	yes	—
26	C₂⁵×C₁₉	C₂³	1	1	yes	characteristic
27	C₂³×C₄×C₁₉	—	2	4	no	—
28	C₂³×C₄×C₁₉	—	2	2	no	—
29	C₂³×C₄×C₁₉	—	2	2	no	—
30	C₂³×C₄×C₁₉	—	2	4	no	—
31	C₂³×C₄×C₁₉	—	4	8	no	—
32	C₂³×C₄×C₁₉	C₂×C₄	1	4	yes	—
33	C₂³×C₄×C₁₉	C₂×C₄	1	8	yes	complemented
34	C₂×C₂²⋊C₄×C₁₉	—	2	16	no	—
35	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
36	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
37	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
38	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
39	C₂×C₂²⋊C₄×C₁₉	—	2	16	no	—
40	C₂×C₂²⋊C₄×C₁₉	—	2	16	no	—
41	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
42	C₂×C₂²⋊C₄×C₁₉	—	2	16	no	—
43	C₂×C₂²⋊C₄×C₁₉	—	4	16	no	—
44	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	4	yes	—
45	C₂×C₂²⋊C₄×C₁₉	C₂×C₄	1	8	yes	complemented
46	C₂×C₂²⋊C₄×C₁₉	C₂³	1	8	yes	—
47	C₂×C₂²⋊C₄×C₁₉	C₂³	1	4	yes	—
48	C₂⁴×C₁₉	—	2	8	no	—
49	C₂⁴×C₁₉	—	2	4	no	—
50	C₂⁴×C₁₉	—	2	16	no	—
51	C₂⁴×C₁₉	—	2	8	no	—
52	C₂⁴×C₁₉	—	2	4	no	—
53	C₂⁴×C₁₉	—	2	16	no	—
54	C₂⁴×C₁₉	—	2	16	no	—
55	C₂⁴×C₁₉	—	2	8	no	—
56	C₂⁴×C₁₉	—	4	8	no	—
57	C₂⁴×C₁₉	—	4	4	no	—
58	C₂⁴×C₁₉	—	4	8	no	—
59	C₂⁴×C₁₉	—	4	16	no	—
60	C₂⁴×C₁₉	—	4	4	no	—
61	C₂⁴×C₁₉	—	4	8	no	—
62	C₂⁴×C₁₉	—	4	64	no	—
63	C₂⁴×C₁₉	C₂²⋊C₄	1	2	yes	—
64	C₂⁴×C₁₉	C₂²⋊C₄	1	2	yes	—
65	C₂⁴×C₁₉	C₂²⋊C₄	1	8	yes	—
66	C₂⁴×C₁₉	C₂²⋊C₄	1	2	yes	—
67	C₂⁴×C₁₉	C₂²⋊C₄	1	2	yes	—
68	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
69	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
70	C₂⁴×C₁₉	C₂²×C₄	1	2	yes	—
71	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
72	C₂⁴×C₁₉	C₂×D₄	1	8	yes	—
73	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
74	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
75	C₂⁴×C₁₉	#41	1	8	yes	—
76	C₂⁴×C₁₉	C₂⁴	1	1	yes	characteristic
77	C₂²×C₄×C₁₉	—	2	4	no	—
78	C₂²×C₄×C₁₉	—	2	8	no	—
79	C₂²×C₄×C₁₉	—	2	8	no	—
80	C₂²×C₄×C₁₉	—	2	4	no	—
81	C₂²×C₄×C₁₉	—	2	8	no	—
82	C₂²×C₄×C₁₉	—	4	16	no	—
83	C₂²×C₄×C₁₉	—	4	8	no	—
84	C₂²×C₄×C₁₉	—	4	8	no	—
85	C₂²×C₄×C₁₉	—	4	8	no	—
86	C₂²×C₄×C₁₉	—	4	16	no	—
87	C₂²×C₄×C₁₉	—	4	16	no	—
88	C₂²×C₄×C₁₉	—	4	8	no	—
89	C₂²×C₄×C₁₉	C₂²×C₄	1	8	yes	—
90	C₂²⋊C₄×C₁₉	—	2	8	no	—
91	C₂²⋊C₄×C₁₉	—	2	16	no	—
92	C₂²⋊C₄×C₁₉	—	2	8	no	—
93	C₂²⋊C₄×C₁₉	—	2	16	no	—
94	C₂²⋊C₄×C₁₉	—	4	32	no	—
95	C₂²⋊C₄×C₁₉	—	4	8	no	—
96	C₂×#1819	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
97	C₂³×C₁₉	—	2	32	no	—
98	C₂³×C₁₉	—	2	4	no	—
99	C₂³×C₁₉	—	2	4	no	—
100	C₂³×C₁₉	—	2	4	no	—
101	C₂³×C₁₉	—	2	8	no	—
102	C₂³×C₁₉	—	2	4	no	—
103	C₂³×C₁₉	—	2	8	no	—
104	C₂³×C₁₉	—	2	4	no	—
105	C₂³×C₁₉	—	2	8	no	—
106	C₂³×C₁₉	—	2	4	no	—
107	C₂³×C₁₉	—	2	16	no	—
108	C₂³×C₁₉	—	2	16	no	—
109	C₂³×C₁₉	—	2	4	no	—
110	C₂³×C₁₉	—	2	4	no	—
111	C₂³×C₁₉	—	2	16	no	—
112	C₂³×C₁₉	—	2	16	no	—
113	C₂³×C₁₉	—	2	8	no	—
114	C₂³×C₁₉	—	4	8	no	—
115	C₂³×C₁₉	—	4	4	no	—
116	C₂³×C₁₉	—	4	2	no	—
117	C₂³×C₁₉	—	4	4	no	—
118	C₂³×C₁₉	—	4	4	no	—
119	C₂³×C₁₉	—	4	8	no	—
120	C₂³×C₁₉	—	4	16	no	—
121	C₂³×C₁₉	—	4	2	no	—
122	C₂³×C₁₉	—	4	64	no	—
123	C₂³×C₁₉	—	4	32	no	—
124	C₂³×C₁₉	—	4	64	no	—
125	C₂³×C₁₉	—	4	32	no	—
126	C₂³×C₁₉	—	4	16	no	—
127	C₂³×C₁₉	#99	1	8	yes	—
128	C₂³×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
129	C₂³×C₁₉	C₂×C₂²⋊C₄	1	2	yes	—
130	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
131	C₂³×C₁₉	C₂×C₂²⋊C₄	1	4	yes	—
132	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
133	C₂³×C₁₉	#117	1	4	yes	—
134	C₂³×C₁₉	#117	1	4	yes	—
135	C₂³×C₁₉	#123	1	8	yes	—
136	C₂³×C₁₉	#123	1	8	yes	—
137	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
138	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
139	C₂³×C₁₉	C₂×#41	1	4	yes	—
140	C₂×C₄×C₁₉	—	2	8	no	—
141	C₂×C₄×C₁₉	—	4	8	no	—
142	C₂×C₄×C₁₉	—	4	16	no	—
143	C₂×C₄×C₁₉	—	4	16	no	—
144	C₂×C₄×C₁₉	—	4	8	no	—
145	C₂×C₄×C₁₉	—	4	8	no	—
146	C₂×C₄×C₁₉	—	4	16	no	—
147	C₂×C₄×C₁₉	—	4	8	no	—
148	C₂×C₄×C₁₉	—	8	16	no	—
149	C₂³×C₂²⋊C₄	C₂×C₁₉	1	1	yes	characteristic
150	C₂×#379	C₂×C₁₉	1	2	yes	—
151	#1819	C₂×C₁₉	1	8	yes	direct product factor
152	C₂×#342	C₂×C₁₉	1	4	yes	complemented
153	C₂²×C₁₉	—	2	16	no	—
154	C₂²×C₁₉	—	2	16	no	—
155	C₂²×C₁₉	—	2	16	no	—
156	C₂²×C₁₉	—	2	16	no	—
157	C₂²×C₁₉	—	2	8	no	—
158	C₂²×C₁₉	—	2	2	no	—
159	C₂²×C₁₉	—	2	4	no	—
160	C₂²×C₁₉	—	2	2	no	—
161	C₂²×C₁₉	—	2	4	no	—
162	C₂²×C₁₉	—	2	4	no	—
163	C₂²×C₁₉	—	2	4	no	—
164	C₂²×C₁₉	—	2	8	no	—
165	C₂²×C₁₉	—	2	4	no	—
166	C₂²×C₁₉	—	4	4	no	—
167	C₂²×C₁₉	—	4	8	no	—
168	C₂²×C₁₉	—	4	4	no	—
169	C₂²×C₁₉	—	4	32	no	—
170	C₂²×C₁₉	—	4	32	no	—
171	C₂²×C₁₉	—	4	8	no	—
172	C₂²×C₁₉	—	4	8	no	—
173	C₂²×C₁₉	—	4	8	no	—
174	C₂²×C₁₉	#381	1	2	yes	—
175	C₂²×C₁₉	#381	1	4	yes	—
176	C₂²×C₁₉	#381	1	2	yes	—
177	C₂²×C₁₉	C₂×#99	1	8	yes	—
178	C₂²×C₁₉	C₂×#99	1	4	yes	—
179	C₂²×C₁₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
180	C₂²×C₁₉	C₂×#117	1	2	yes	—
181	C₂²×C₁₉	C₂×#123	1	4	yes	—
182	C₄×C₁₉	—	4	8	no	—
183	C₄×C₁₉	—	8	8	no	—
184	C₂⁶	C₂²×C₁₉	1	1	yes	characteristic
185	C₂⁴×C₄	C₄×C₁₉	1	2	yes	complemented
186	C₂²×C₂²⋊C₄	—	2	4	no	—
187	C₂²×C₂²⋊C₄	—	2	4	no	—
188	C₂²×C₂²⋊C₄	—	2	4	no	—
189	C₂²×C₂²⋊C₄	C₄×C₁₉	1	4	yes	complemented
190	C₂²×C₂²⋊C₄	C₄×C₁₉	1	2	yes	complemented
191	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	4	yes	—
192	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
193	C₂²×C₂²⋊C₄	C₂²×C₁₉	1	4	yes	—
194	#379	—	2	4	no	—
195	#379	C₂²×C₁₉	1	8	yes	—
196	#342	C₂²×C₁₉	1	16	yes	complemented
197	C₂×C₁₉	—	2	4	no	—
198	C₂×C₁₉	—	2	2	no	—
199	C₂×C₁₉	—	2	2	no	—
200	C₂×C₁₉	—	2	8	no	—
201	C₂×C₁₉	—	2	4	no	—
202	C₂×C₁₉	—	4	4	no	—
203	C₂×C₁₉	#1819	1	4	yes	direct product factor
204	C₂×C₁₉	C₂×#381	1	1	yes	characteristic
205	C₂×C₁₉	C₂²×#99	1	2	yes	—
206	C₂⁵	—	2	8	no	—
207	C₂⁵	—	4	8	no	—
208	C₂⁵	C₂×C₄×C₁₉	1	1	yes	characteristic
209	C₂⁵	C₂×C₄×C₁₉	1	1	yes	characteristic
210	C₂⁵	C₂×C₄×C₁₉	1	2	yes	—
211	C₂⁵	D₄×C₁₉	1	4	yes	—
212	C₂⁵	D₄×C₁₉	1	4	yes	—
213	C₂⁵	C₂³×C₁₉	1	2	yes	—
214	C₂⁵	C₂³×C₁₉	1	1	yes	characteristic
215	C₂³×C₄	—	2	4	no	—
216	C₂³×C₄	—	2	2	no	—
217	C₂³×C₄	—	2	2	no	—
218	C₂³×C₄	—	2	4	no	—
219	C₂³×C₄	—	4	8	no	—
220	C₂³×C₄	C₂×C₄×C₁₉	1	4	yes	—
221	C₂³×C₄	C₂×C₄×C₁₉	1	8	yes	complemented
222	C₂×C₂²⋊C₄	—	2	16	no	—
223	C₂×C₂²⋊C₄	—	2	4	no	—
224	C₂×C₂²⋊C₄	—	2	4	no	—
225	C₂×C₂²⋊C₄	—	2	4	no	—
226	C₂×C₂²⋊C₄	—	2	4	no	—
227	C₂×C₂²⋊C₄	—	2	16	no	—
228	C₂×C₂²⋊C₄	—	2	16	no	—
229	C₂×C₂²⋊C₄	—	2	16	no	—
230	C₂×C₂²⋊C₄	—	2	4	no	—
231	C₂×C₂²⋊C₄	—	4	16	no	—
232	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	4	yes	—
233	C₂×C₂²⋊C₄	C₂×C₄×C₁₉	1	8	yes	complemented
234	C₂×C₂²⋊C₄	C₂³×C₁₉	1	8	yes	—
235	C₂×C₂²⋊C₄	C₂³×C₁₉	1	4	yes	—
236	C₁₉	C₂×#1819	1	1	yes	characteristic, direct product factor, Sylow
237	C₂⁴	—	2	4	no	—
238	C₂⁴	—	2	8	no	—
239	C₂⁴	—	2	8	no	—
240	C₂⁴	—	2	4	no	—
241	C₂⁴	—	2	16	no	—
242	C₂⁴	—	2	16	no	—
243	C₂⁴	—	2	8	no	—
244	C₂⁴	—	2	16	no	—
245	C₂⁴	—	4	8	no	—
246	C₂⁴	—	4	4	no	—
247	C₂⁴	—	4	8	no	—
248	C₂⁴	—	4	16	no	—
249	C₂⁴	—	4	4	no	—
250	C₂⁴	—	4	8	no	—
251	C₂⁴	—	4	64	no	—
252	C₂⁴	C₂²⋊C₄×C₁₉	1	2	yes	—
253	C₂⁴	C₂²⋊C₄×C₁₉	1	2	yes	—
254	C₂⁴	C₂²⋊C₄×C₁₉	1	8	yes	—
255	C₂⁴	C₂²⋊C₄×C₁₉	1	2	yes	—
256	C₂⁴	C₂²⋊C₄×C₁₉	1	2	yes	—
257	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
258	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
259	C₂⁴	C₂²×C₄×C₁₉	1	2	yes	—
260	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
261	C₂⁴	C₂×D₄×C₁₉	1	8	yes	—
262	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
263	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
264	C₂⁴	#41×C₁₉	1	8	yes	—
265	C₂⁴	C₂⁴×C₁₉	1	1	yes	characteristic
266	C₂²×C₄	—	2	4	no	—
267	C₂²×C₄	—	2	4	no	—
268	C₂²×C₄	—	2	8	no	—
269	C₂²×C₄	—	2	8	no	—
270	C₂²×C₄	—	2	8	no	—
271	C₂²×C₄	—	4	16	no	—
272	C₂²×C₄	—	4	8	no	—
273	C₂²×C₄	—	4	8	no	—
274	C₂²×C₄	—	4	8	no	—
275	C₂²×C₄	—	4	16	no	—
276	C₂²×C₄	—	4	16	no	—
277	C₂²×C₄	—	4	8	no	—
278	C₂²×C₄	C₂²×C₄×C₁₉	1	8	yes	—
279	C₂²⋊C₄	—	2	8	no	—
280	C₂²⋊C₄	—	2	16	no	—
281	C₂²⋊C₄	—	2	8	no	—
282	C₂²⋊C₄	—	2	16	no	—
283	C₂²⋊C₄	—	4	32	no	—
284	C₂²⋊C₄	—	4	8	no	—
285	C₂³	—	2	32	no	—
286	C₂³	—	2	4	no	—
287	C₂³	—	2	4	no	—
288	C₂³	—	2	8	no	—
289	C₂³	—	2	4	no	—
290	C₂³	—	2	8	no	—
291	C₂³	—	2	4	no	—
292	C₂³	—	2	8	no	—
293	C₂³	—	2	4	no	—
294	C₂³	—	2	16	no	—
295	C₂³	—	2	4	no	—
296	C₂³	—	2	4	no	—
297	C₂³	—	2	16	no	—
298	C₂³	—	2	16	no	—
299	C₂³	—	2	8	no	—
300	C₂³	—	2	4	no	—
301	C₂³	—	2	16	no	—
302	C₂³	—	4	8	no	—
303	C₂³	—	4	4	no	—
304	C₂³	—	4	2	no	—
305	C₂³	—	4	4	no	—
306	C₂³	—	4	4	no	—
307	C₂³	—	4	8	no	—
308	C₂³	—	4	16	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	64	no	—
311	C₂³	—	4	32	no	—
312	C₂³	—	4	64	no	—
313	C₂³	—	4	32	no	—
314	C₂³	—	4	16	no	—
315	C₂³	C₁₉×#99	1	8	yes	—
316	C₂³	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
317	C₂³	C₂×C₂²⋊C₄×C₁₉	1	2	yes	—
318	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
319	C₂³	C₂×C₂²⋊C₄×C₁₉	1	4	yes	—
320	C₂³	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
321	C₂³	C₁₉×#117	1	4	yes	—
322	C₂³	C₁₉×#117	1	4	yes	—
323	C₂³	C₁₉×#123	1	8	yes	—
324	C₂³	C₁₉×#123	1	8	yes	—
325	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
326	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
327	C₂³	C₂×#41×C₁₉	1	4	yes	—
328	C₂×C₄	—	2	8	no	—
329	C₂×C₄	—	4	8	no	—
330	C₂×C₄	—	4	16	no	—
331	C₂×C₄	—	4	16	no	—
332	C₂×C₄	—	4	8	no	—
333	C₂×C₄	—	4	8	no	—
334	C₂×C₄	—	4	16	no	—
335	C₂×C₄	—	4	8	no	—
336	C₂×C₄	—	8	16	no	—
337	C₂²	—	2	16	no	—
338	C₂²	—	2	16	no	—
339	C₂²	—	2	4	no	—
340	C₂²	—	2	16	no	—
341	C₂²	—	2	8	no	—
342	C₂²	—	2	16	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	2	4	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	2	4	no	—
347	C₂²	—	2	4	no	—
348	C₂²	—	2	4	no	—
349	C₂²	—	2	8	no	—
350	C₂²	—	4	4	no	—
351	C₂²	—	4	8	no	—
352	C₂²	—	4	4	no	—
353	C₂²	—	4	32	no	—
354	C₂²	—	4	32	no	—
355	C₂²	—	4	8	no	—
356	C₂²	—	4	8	no	—
357	C₂²	—	4	8	no	—
358	C₂²	C₁₉×#381	1	2	yes	—
359	C₂²	C₁₉×#381	1	4	yes	—
360	C₂²	C₁₉×#381	1	2	yes	—
361	C₂²	C₂×C₁₉×#99	1	8	yes	—
362	C₂²	C₂×C₁₉×#99	1	4	yes	—
363	C₂²	C₂²×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
364	C₂²	C₂×C₁₉×#117	1	2	yes	—
365	C₂²	C₂×C₁₉×#123	1	4	yes	—
366	C₄	—	4	8	no	—
367	C₄	—	8	8	no	—
368	C₂	—	2	4	no	—
369	C₂	—	2	2	no	—
370	C₂	—	2	8	no	—
371	C₂	—	2	2	no	—
372	C₂	—	2	4	no	—
373	C₂	—	4	4	no	—
374	C₂	C₁₉×#1819	1	4	yes	direct product factor
375	C₂	C₂×C₁₉×#381	1	1	yes	characteristic
376	C₂	C₂²×C₁₉×#99	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₁₉
Frattini, cosocle	C₂⁴	C₂⁴×C₁₉
prime radical	C₂⁶×C₁₉	C₂²
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂⁶×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₉×#1819	C₂	direct (N × H)
4. C₂×C₁₉×#342	C₂	semidirect
6. C₂⁴×C₄×C₁₉	C₄	semidirect
10. C₂²×C₂²⋊C₄×C₁₉	C₄	semidirect
11. C₂²×C₂²⋊C₄×C₁₉	C₄	semidirect
17. C₁₉×#342	C₂²	semidirect
33. C₂³×C₄×C₁₉	C₂×C₄	semidirect
45. C₂×C₂²⋊C₄×C₁₉	C₂×C₄	semidirect
96. C₂×#1819	C₁₉	direct (N × H)
151. #1819	C₂×C₁₉	direct (N × H)
152. C₂×#342	C₂×C₁₉	semidirect
185. C₂⁴×C₄	C₄×C₁₉	semidirect
189. C₂²×C₂²⋊C₄	C₄×C₁₉	semidirect
190. C₂²×C₂²⋊C₄	C₄×C₁₉	semidirect
196. #342	C₂²×C₁₉	semidirect
203. C₂×C₁₉	#1819	direct (N × H)
221. C₂³×C₄	C₂×C₄×C₁₉	semidirect
233. C₂×C₂²⋊C₄	C₂×C₄×C₁₉	semidirect
236. C₁₉	C₂×#1819	direct (N × H)
374. C₂	C₁₉×#1819	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₂²⋊C₄×C₁₉	2
C₂×C₁₉×#379	2
C₁₉×#1819	2
C₂×C₁₉×#342	2
C₂×#1819	19

Subgroups — C2×C19×#1819 #18026645

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₉×#1819 #18026645