Subgroups — C₁₉×#2412 #14560269

Order 2432.

814 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#123	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₉×#120	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₂²⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₂²⋊C₄×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#397	C₂	1	2	yes	maximal, complemented
6	C₁₉×#394	C₂	1	2	yes	maximal, complemented
7	C₁₉×#386	C₂	1	2	yes	maximal, complemented
8	C₁₉×#386	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#385	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₉×#381	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#380	C₂	1	2	yes	maximal, complemented
12	C₂⁵×C₁₉	C₂²	1	1	yes	characteristic
13	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic
14	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic
15	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic
16	C₂³×C₄×C₁₉	C₂²	1	1	yes	characteristic
17	C₂³×C₄×C₁₉	C₂²	1	2	yes	—
18	C₂³×C₄×C₁₉	C₂²	1	1	yes	characteristic
19	C₁₉×#123	—	2	4	no	—
20	C₁₉×#120	—	2	4	no	—
21	C₂×C₄⋊C₄×C₁₉	C₂²	1	2	yes	complemented
22	C₂×C₄⋊C₄×C₁₉	C₂²	1	2	yes	complemented
23	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
24	C₂×C₂²⋊C₄×C₁₉	—	2	4	no	—
25	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
26	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
27	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
28	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
30	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	—
31	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
32	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
33	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	complemented
34	C₂×C₂²⋊C₄×C₁₉	C₂²	1	2	yes	complemented
35	C₁₉×#95	C₂²	1	2	yes	complemented
36	C₁₉×#95	C₂²	1	2	yes	complemented
37	C₁₉×#95	C₂²	1	2	yes	complemented
38	C₁₉×#95	C₂²	1	2	yes	complemented
39	C₂⁴×C₁₉	—	2	2	no	—
40	C₂⁴×C₁₉	—	2	2	no	—
41	C₂⁴×C₁₉	—	2	4	no	—
42	C₂⁴×C₁₉	—	4	2	no	—
43	C₂⁴×C₁₉	D₄	1	4	yes	—
44	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
45	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
46	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
47	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
48	C₂×D₄×C₁₉	—	2	2	no	—
49	C₂×D₄×C₁₉	—	2	2	no	—
50	C₂×D₄×C₁₉	—	2	2	no	—
51	C₂×D₄×C₁₉	—	2	2	no	—
52	C₂×D₄×C₁₉	—	2	2	no	—
53	C₂×D₄×C₁₉	—	2	4	no	—
54	C₂×D₄×C₁₉	—	4	2	no	—
55	C₂²×C₄×C₁₉	—	2	2	no	—
56	C₂²×C₄×C₁₉	—	2	2	no	—
57	C₂²×C₄×C₁₉	—	2	2	no	—
58	C₂²×C₄×C₁₉	—	2	4	no	—
59	C₂²×C₄×C₁₉	—	2	2	no	—
60	C₂²×C₄×C₁₉	—	2	4	no	—
61	C₂²×C₄×C₁₉	—	4	2	no	—
62	C₂²×C₄×C₁₉	—	4	2	no	—
63	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
64	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
65	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
66	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
67	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
68	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
69	C₂²×C₄×C₁₉	C₂³	1	2	yes	—
70	C₄⋊C₄×C₁₉	—	2	4	no	—
71	C₄⋊C₄×C₁₉	—	4	2	no	—
72	C₂²⋊C₄×C₁₉	—	2	4	no	—
73	C₂²⋊C₄×C₁₉	—	2	2	no	—
74	C₂²⋊C₄×C₁₉	—	2	4	no	—
75	C₂²⋊C₄×C₁₉	—	2	2	no	—
76	C₂²⋊C₄×C₁₉	—	2	2	no	—
77	C₂²⋊C₄×C₁₉	—	2	2	no	—
78	C₂²⋊C₄×C₁₉	—	2	4	no	—
79	C₂²⋊C₄×C₁₉	—	2	4	no	—
80	C₂²⋊C₄×C₁₉	—	4	2	no	—
81	C₂²⋊C₄×C₁₉	D₄	1	4	yes	complemented
82	C₂³×C₁₉	—	2	1	no	—
83	C₂³×C₁₉	—	2	1	no	—
84	C₂³×C₁₉	—	2	2	no	—
85	C₂³×C₁₉	—	2	2	no	—
86	C₂³×C₁₉	—	2	2	no	—
87	C₂³×C₁₉	—	2	8	no	—
88	C₂³×C₁₉	—	2	8	no	—
89	C₂³×C₁₉	—	2	1	no	—
90	C₂³×C₁₉	—	2	1	no	—
91	C₂³×C₁₉	—	2	2	no	—
92	C₂³×C₁₉	—	2	2	no	—
93	C₂³×C₁₉	—	2	1	no	—
94	C₂³×C₁₉	—	2	1	no	—
95	C₂³×C₁₉	—	2	1	no	—
96	C₂³×C₁₉	—	2	2	no	—
97	C₂³×C₁₉	—	2	2	no	—
98	C₂³×C₁₉	—	4	4	no	—
99	C₂³×C₁₉	—	4	8	no	—
100	C₂³×C₁₉	—	4	8	no	—
101	C₂³×C₁₉	C₂×D₄	1	2	yes	—
102	C₂³×C₁₉	C₂×D₄	1	2	yes	—
103	C₂³×C₁₉	C₂×D₄	1	2	yes	—
104	C₂³×C₁₉	C₂×D₄	1	2	yes	—
105	C₂³×C₁₉	#41	1	2	yes	—
106	C₂³×C₁₉	#41	1	4	yes	—
107	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
108	D₄×C₁₉	—	4	4	no	—
109	D₄×C₁₉	—	4	4	no	—
110	D₄×C₁₉	—	4	4	no	—
111	C₂×C₄×C₁₉	—	2	2	no	—
112	C₂×C₄×C₁₉	—	2	2	no	—
113	C₂×C₄×C₁₉	—	2	2	no	—
114	C₂×C₄×C₁₉	—	2	2	no	—
115	C₂×C₄×C₁₉	—	2	2	no	—
116	C₂×C₄×C₁₉	—	2	1	no	—
117	C₂×C₄×C₁₉	—	2	1	no	—
118	C₂×C₄×C₁₉	—	2	1	no	—
119	C₂×C₄×C₁₉	—	2	2	no	—
120	C₂×C₄×C₁₉	—	2	1	no	—
121	C₂×C₄×C₁₉	—	2	2	no	—
122	C₂×C₄×C₁₉	—	2	2	no	—
123	C₂×C₄×C₁₉	—	2	1	no	—
124	C₂×C₄×C₁₉	—	2	2	no	—
125	C₂×C₄×C₁₉	—	2	2	no	—
126	C₂×C₄×C₁₉	—	2	2	no	—
127	C₂×C₄×C₁₉	—	2	2	no	—
128	C₂×C₄×C₁₉	—	2	2	no	—
129	C₂×C₄×C₁₉	—	4	8	no	—
130	C₂×C₄×C₁₉	—	4	4	no	—
131	C₂×C₄×C₁₉	—	4	4	no	—
132	C₂×C₄×C₁₉	C₂×D₄	1	4	yes	—
133	#2412	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
134	C₂²×C₁₉	—	2	2	no	—
135	C₂²×C₁₉	—	2	2	no	—
136	C₂²×C₁₉	—	2	2	no	—
137	C₂²×C₁₉	—	2	2	no	—
138	C₂²×C₁₉	—	2	4	no	—
139	C₂²×C₁₉	—	2	4	no	—
140	C₂²×C₁₉	—	2	4	no	—
141	C₂²×C₁₉	—	2	4	no	—
142	C₂²×C₁₉	—	2	2	no	—
143	C₂²×C₁₉	—	2	2	no	—
144	C₂²×C₁₉	—	2	2	no	—
145	C₂²×C₁₉	—	4	16	no	—
146	C₂²×C₁₉	—	4	2	no	—
147	C₂²×C₁₉	—	4	2	no	—
148	C₂²×C₁₉	—	4	1	no	—
149	C₂²×C₁₉	—	4	1	no	—
150	C₂²×C₁₉	—	4	1	no	—
151	C₂²×C₁₉	—	4	2	no	—
152	C₂²×C₁₉	—	4	2	no	—
153	C₂²×C₁₉	#121	1	4	yes	—
154	C₂²×C₁₉	#123	1	4	yes	complemented
155	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
156	C₂²×C₁₉	C₂²×D₄	1	1	yes	characteristic
157	C₂²×C₁₉	C₂×#41	1	1	yes	characteristic
158	C₂²×C₁₉	C₂×#41	1	2	yes	—
159	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
160	C₄×C₁₉	—	2	4	no	—
161	C₄×C₁₉	—	4	2	no	—
162	C₄×C₁₉	—	4	1	no	—
163	C₄×C₁₉	—	4	1	no	—
164	C₄×C₁₉	—	4	2	no	—
165	C₄×C₁₉	—	4	1	no	—
166	C₄×C₁₉	—	4	2	no	—
167	C₂×#123	C₂×C₁₉	1	1	yes	characteristic, complemented
168	C₂×#120	C₂×C₁₉	1	1	yes	characteristic
169	C₂²×C₂²⋊C₄	C₂×C₁₉	1	1	yes	characteristic, complemented
170	C₂²×C₂²⋊C₄	C₂×C₁₉	1	1	yes	characteristic, complemented
171	#397	C₂×C₁₉	1	2	yes	complemented
172	#394	C₂×C₁₉	1	2	yes	complemented
173	#386	C₂×C₁₉	1	1	yes	characteristic, complemented
174	#386	C₂×C₁₉	1	2	yes	complemented
175	#385	C₂×C₁₉	1	1	yes	characteristic, complemented
176	#381	C₂×C₁₉	1	1	yes	characteristic, complemented
177	#380	C₂×C₁₉	1	2	yes	complemented
178	C₂×C₁₉	—	2	4	no	—
179	C₂×C₁₉	—	2	4	no	—
180	C₂×C₁₉	—	4	2	no	—
181	C₂×C₁₉	—	8	1	no	—
182	C₂×C₁₉	C₂×#121	1	1	yes	characteristic
183	C₂×C₁₉	C₂×#123	1	1	yes	characteristic
184	C₂×C₁₉	#534	1	1	yes	characteristic
185	C₂×C₁₉	#546	1	2	yes	—
186	C₂×C₁₉	#551	1	2	yes	—
187	C₂⁵	C₂²×C₁₉	1	1	yes	characteristic
188	C₂²×D₄	C₂²×C₁₉	1	1	yes	characteristic
189	C₂²×D₄	C₂²×C₁₉	1	1	yes	characteristic
190	C₂²×D₄	C₂²×C₁₉	1	1	yes	characteristic
191	C₂³×C₄	C₂²×C₁₉	1	1	yes	characteristic
192	C₂³×C₄	C₂²×C₁₉	1	2	yes	—
193	C₂³×C₄	C₂²×C₁₉	1	1	yes	characteristic
194	#123	—	2	4	no	—
195	#120	—	2	4	no	—
196	C₂×C₄⋊C₄	C₂²×C₁₉	1	2	yes	complemented
197	C₂×C₄⋊C₄	C₂²×C₁₉	1	2	yes	complemented
198	C₂×C₂²⋊C₄	—	2	4	no	—
199	C₂×C₂²⋊C₄	—	2	4	no	—
200	C₂×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
201	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
202	C₂×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
203	C₂×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	—
204	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
205	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
206	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
207	C₂×C₂²⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
208	C₂×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	complemented
209	C₂×C₂²⋊C₄	C₂²×C₁₉	1	2	yes	complemented
210	#95	C₂²×C₁₉	1	2	yes	complemented
211	#95	C₂²×C₁₉	1	2	yes	complemented
212	#95	C₂²×C₁₉	1	2	yes	complemented
213	#95	C₂²×C₁₉	1	2	yes	complemented
214	C₁₉	#2412	1	1	yes	characteristic, direct product factor, Sylow
215	C₂⁴	—	2	2	no	—
216	C₂⁴	—	2	2	no	—
217	C₂⁴	—	2	4	no	—
218	C₂⁴	—	4	2	no	—
219	C₂⁴	D₄×C₁₉	1	4	yes	—
220	C₂⁴	C₂³×C₁₉	1	1	yes	characteristic
221	C₂⁴	C₂³×C₁₉	1	1	yes	characteristic
222	C₂⁴	C₂³×C₁₉	1	1	yes	characteristic
223	C₂⁴	C₂³×C₁₉	1	1	yes	characteristic
224	C₂×D₄	—	2	2	no	—
225	C₂×D₄	—	2	2	no	—
226	C₂×D₄	—	2	2	no	—
227	C₂×D₄	—	2	2	no	—
228	C₂×D₄	—	2	2	no	—
229	C₂×D₄	—	2	4	no	—
230	C₂×D₄	—	4	2	no	—
231	C₂²×C₄	—	2	2	no	—
232	C₂²×C₄	—	2	2	no	—
233	C₂²×C₄	—	2	2	no	—
234	C₂²×C₄	—	2	4	no	—
235	C₂²×C₄	—	2	2	no	—
236	C₂²×C₄	—	2	4	no	—
237	C₂²×C₄	—	4	2	no	—
238	C₂²×C₄	—	4	2	no	—
239	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
240	C₂²×C₄	C₂³×C₁₉	1	2	yes	—
241	C₂²×C₄	C₂³×C₁₉	1	2	yes	—
242	C₂²×C₄	C₂³×C₁₉	1	2	yes	—
243	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
244	C₂²×C₄	C₂³×C₁₉	1	1	yes	characteristic
245	C₂²×C₄	C₂³×C₁₉	1	2	yes	—
246	C₄⋊C₄	—	2	4	no	—
247	C₄⋊C₄	—	4	2	no	—
248	C₂²⋊C₄	—	2	4	no	—
249	C₂²⋊C₄	—	2	2	no	—
250	C₂²⋊C₄	—	2	4	no	—
251	C₂²⋊C₄	—	2	2	no	—
252	C₂²⋊C₄	—	2	2	no	—
253	C₂²⋊C₄	—	2	2	no	—
254	C₂²⋊C₄	—	2	4	no	—
255	C₂²⋊C₄	—	2	4	no	—
256	C₂²⋊C₄	—	4	2	no	—
257	C₂²⋊C₄	D₄×C₁₉	1	4	yes	complemented
258	C₂³	—	2	1	no	—
259	C₂³	—	2	1	no	—
260	C₂³	—	2	2	no	—
261	C₂³	—	2	2	no	—
262	C₂³	—	2	2	no	—
263	C₂³	—	2	8	no	—
264	C₂³	—	2	8	no	—
265	C₂³	—	2	1	no	—
266	C₂³	—	2	1	no	—
267	C₂³	—	2	2	no	—
268	C₂³	—	2	2	no	—
269	C₂³	—	2	1	no	—
270	C₂³	—	2	1	no	—
271	C₂³	—	2	1	no	—
272	C₂³	—	2	2	no	—
273	C₂³	—	2	2	no	—
274	C₂³	—	4	4	no	—
275	C₂³	—	4	8	no	—
276	C₂³	—	4	8	no	—
277	C₂³	C₂×D₄×C₁₉	1	2	yes	—
278	C₂³	C₂×D₄×C₁₉	1	2	yes	—
279	C₂³	C₂×D₄×C₁₉	1	2	yes	—
280	C₂³	C₂×D₄×C₁₉	1	2	yes	—
281	C₂³	#41×C₁₉	1	2	yes	—
282	C₂³	#41×C₁₉	1	4	yes	—
283	C₂³	C₂⁴×C₁₉	1	1	yes	characteristic
284	D₄	—	4	4	no	—
285	D₄	—	4	4	no	—
286	D₄	—	4	4	no	—
287	C₂×C₄	—	2	2	no	—
288	C₂×C₄	—	2	2	no	—
289	C₂×C₄	—	2	2	no	—
290	C₂×C₄	—	2	2	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	1	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	4	8	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	C₂×D₄×C₁₉	1	4	yes	—
309	C₂²	—	2	2	no	—
310	C₂²	—	2	2	no	—
311	C₂²	—	2	2	no	—
312	C₂²	—	2	2	no	—
313	C₂²	—	2	4	no	—
314	C₂²	—	2	4	no	—
315	C₂²	—	2	4	no	—
316	C₂²	—	2	4	no	—
317	C₂²	—	2	2	no	—
318	C₂²	—	2	2	no	—
319	C₂²	—	2	2	no	—
320	C₂²	—	4	16	no	—
321	C₂²	—	4	2	no	—
322	C₂²	—	4	2	no	—
323	C₂²	—	4	1	no	—
324	C₂²	—	4	1	no	—
325	C₂²	—	4	1	no	—
326	C₂²	—	4	2	no	—
327	C₂²	—	4	2	no	—
328	C₂²	C₁₉×#121	1	4	yes	—
329	C₂²	C₁₉×#123	1	4	yes	complemented
330	C₂²	C₂²×D₄×C₁₉	1	1	yes	characteristic
331	C₂²	C₂²×D₄×C₁₉	1	1	yes	characteristic
332	C₂²	C₂×#41×C₁₉	1	1	yes	characteristic
333	C₂²	C₂×#41×C₁₉	1	2	yes	—
334	C₂²	C₁₉×H(5,𝔽₂)	1	2	yes	—
335	C₄	—	2	4	no	—
336	C₄	—	4	2	no	—
337	C₄	—	4	1	no	—
338	C₄	—	4	1	no	—
339	C₄	—	4	2	no	—
340	C₄	—	4	1	no	—
341	C₄	—	4	2	no	—
342	C₂	—	2	4	no	—
343	C₂	—	2	4	no	—
344	C₂	—	4	2	no	—
345	C₂	—	8	1	no	—
346	C₂	C₂×C₁₉×#121	1	1	yes	characteristic
347	C₂	C₂×C₁₉×#123	1	1	yes	characteristic
348	C₂	C₁₉×#534	1	1	yes	characteristic
349	C₂	C₁₉×#546	1	2	yes	—
350	C₂	C₁₉×#551	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₉×#123	C₂	semidirect
3. C₂²×C₂²⋊C₄×C₁₉	C₂	semidirect
4. C₂²×C₂²⋊C₄×C₁₉	C₂	semidirect
5. C₁₉×#397	C₂	semidirect
6. C₁₉×#394	C₂	semidirect
7. C₁₉×#386	C₂	semidirect
8. C₁₉×#386	C₂	semidirect
9. C₁₉×#385	C₂	semidirect
10. C₁₉×#381	C₂	semidirect
11. C₁₉×#380	C₂	semidirect
21. C₂×C₄⋊C₄×C₁₉	C₂²	semidirect
22. C₂×C₄⋊C₄×C₁₉	C₂²	semidirect
33. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
34. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
35. C₁₉×#95	C₂²	semidirect
36. C₁₉×#95	C₂²	semidirect
37. C₁₉×#95	C₂²	semidirect
38. C₁₉×#95	C₂²	semidirect
81. C₂²⋊C₄×C₁₉	D₄	semidirect
133. #2412	C₁₉	direct (N × H)
154. C₂²×C₁₉	#123	semidirect
167. C₂×#123	C₂×C₁₉	semidirect
169. C₂²×C₂²⋊C₄	C₂×C₁₉	semidirect
170. C₂²×C₂²⋊C₄	C₂×C₁₉	semidirect
171. #397	C₂×C₁₉	semidirect
172. #394	C₂×C₁₉	semidirect
173. #386	C₂×C₁₉	semidirect
174. #386	C₂×C₁₉	semidirect
175. #385	C₂×C₁₉	semidirect
176. #381	C₂×C₁₉	semidirect
177. #380	C₂×C₁₉	semidirect
196. C₂×C₄⋊C₄	C₂²×C₁₉	semidirect
197. C₂×C₄⋊C₄	C₂²×C₁₉	semidirect
208. C₂×C₂²⋊C₄	C₂²×C₁₉	semidirect
209. C₂×C₂²⋊C₄	C₂²×C₁₉	semidirect
210. #95	C₂²×C₁₉	semidirect
211. #95	C₂²×C₁₉	semidirect
212. #95	C₂²×C₁₉	semidirect
213. #95	C₂²×C₁₉	semidirect
214. C₁₉	#2412	direct (N × H)
257. C₂²⋊C₄	D₄×C₁₉	semidirect
329. C₂²	C₁₉×#123	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#123	2
C₂×C₁₉×#120	2
C₂²×C₂²⋊C₄×C₁₉	2
C₁₉×#397	2
C₁₉×#394	2
C₁₉×#386	2
C₁₉×#385	2
C₁₉×#381	2
C₁₉×#380	2
#2412	19

Subgroups — C19×#2412 #14560269

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#2412 #14560269