Subgroups — C₁₉×#9325 #18015284

Order 4864.

650 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	C₁₉×#3109	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2275	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#1980	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1505	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1490	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1300	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1285	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#532	C₂²	1	1	yes	characteristic
9	C₂×C₄×D₄×C₁₉	—	2	1	no	—
10	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
11	C₁₉×#481	—	2	1	no	—
12	C₁₉×#476	C₄	1	2	yes	complemented
13	C₁₉×#459	C₄	1	2	yes	complemented
14	C₁₉×#447	—	2	1	no	—
15	C₁₉×#442	—	2	2	no	—
16	C₁₉×#432	C₂²	1	1	yes	characteristic
17	C₁₉×#432	C₂²	1	1	yes	characteristic
18	C₂×C₁₉×#104	—	2	2	no	—
19	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
20	C₄×C₄⋊C₄×C₁₉	—	2	1	no	—
21	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
22	C₄×C₂²⋊C₄×C₁₉	—	2	1	no	—
23	C₄×C₂²⋊C₄×C₁₉	—	2	2	no	—
24	C₁₉×#376	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×#95	—	2	1	no	—
26	C₁₉×#327	—	2	1	no	—
27	C₁₉×#327	—	2	1	no	—
28	C₁₉×D₄⋊C₈	—	2	2	no	—
29	C₂×#41×C₁₉	—	2	1	no	—
30	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₉	—	2	2	no	—
32	C₂³×C₄×C₁₉	—	2	1	no	—
33	C₂×D₈×C₁₉	—	2	2	no	—
34	C₂×M₁₆×C₁₉	—	2	1	no	—
35	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
36	C₁₉×#127	C₂×C₄	1	1	yes	characteristic, complemented
37	C₁₉×#124	—	2	1	no	—
38	C₁₉×#121	—	2	1	no	—
39	C₁₉×#121	—	2	1	no	—
40	C₄×D₄×C₁₉	—	2	8	no	—
41	C₄×D₄×C₁₉	—	2	1	no	—
42	C₄×D₄×C₁₉	—	2	1	no	—
43	C₄×D₄×C₁₉	—	2	1	no	—
44	C₄×D₄×C₁₉	—	2	1	no	—
45	C₄×D₄×C₁₉	C₂×C₄	1	2	yes	—
46	C₄×D₄×C₁₉	D₄	1	2	yes	—
47	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
48	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
49	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
50	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
51	C₂×C₄²×C₁₉	—	2	1	no	—
52	C₂×C₄²×C₁₉	—	2	2	no	—
53	C₂×C₄²×C₁₉	D₄	1	2	yes	—
54	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
55	C₁₉×#106	—	2	2	no	—
56	C₁₉×C₄⋊C₈	—	2	1	no	—
57	C₁₉×C₄⋊C₈	C₂×C₄	1	2	yes	complemented
58	C₁₉×#104	—	4	4	no	—
59	C₁₉×#102	—	2	2	no	—
60	C₁₉×#102	—	2	2	no	—
61	C₁₉×C₂²⋊C₈	—	2	1	no	—
62	C₁₉×C₂²⋊C₈	—	2	1	no	—
63	C₁₉×#97	—	2	1	no	—
64	C₁₉×#97	—	2	1	no	—
65	C₁₉×#97	—	2	1	no	—
66	C₄×C₈×C₁₉	—	2	1	no	—
67	C₁₉×#95	—	2	2	no	—
68	C₁₉×#95	—	2	1	no	—
69	C₁₉×#95	—	2	1	no	—
70	C₁₉×#95	D₄	1	1	yes	characteristic
71	C₁₉×#95	D₄	1	1	yes	characteristic
72	C₂⁴×C₁₉	—	2	1	no	—
73	#41×C₁₉	—	4	2	no	—
74	#41×C₁₉	—	4	2	no	—
75	C₂×Q₈×C₁₉	—	2	1	no	—
76	C₂×D₄×C₁₉	—	2	4	no	—
77	C₂×D₄×C₁₉	—	2	1	no	—
78	C₂×D₄×C₁₉	—	2	1	no	—
79	C₂×D₄×C₁₉	—	2	1	no	—
80	C₂×D₄×C₁₉	—	2	1	no	—
81	C₂×D₄×C₁₉	—	4	1	no	—
82	C₂×D₄×C₁₉	C₂²⋊C₄	1	2	yes	—
83	C₂²×C₄×C₁₉	—	2	1	no	—
84	C₂²×C₄×C₁₉	—	2	1	no	—
85	C₂²×C₄×C₁₉	—	2	2	no	—
86	C₂²×C₄×C₁₉	—	2	1	no	—
87	C₂²×C₄×C₁₉	—	2	8	no	—
88	C₂²×C₄×C₁₉	—	2	2	no	—
89	C₂²×C₄×C₁₉	—	2	2	no	—
90	C₂²×C₄×C₁₉	—	4	1	no	—
91	C₂²×C₄×C₁₉	—	8	2	no	—
92	C₂²×C₄×C₁₉	—	8	2	no	—
93	C₂²×C₄×C₁₉	—	8	2	no	—
94	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
97	D₈×C₁₉	—	4	4	no	—
98	M₁₆×C₁₉	—	2	2	no	—
99	M₁₆×C₁₉	—	4	1	no	—
100	C₂×C₈×C₁₉	—	2	2	no	—
101	C₂×C₈×C₁₉	—	4	1	no	—
102	C₂×C₈×C₁₉	—	4	1	no	—
103	C₄⋊C₄×C₁₉	—	2	4	no	—
104	C₄⋊C₄×C₁₉	—	2	1	no	—
105	C₄⋊C₄×C₁₉	—	2	1	no	—
106	C₄⋊C₄×C₁₉	—	2	1	no	—
107	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	2	yes	—
108	C₂²⋊C₄×C₁₉	—	2	8	no	—
109	C₂²⋊C₄×C₁₉	—	2	2	no	—
110	C₂²⋊C₄×C₁₉	—	2	2	no	—
111	C₂²⋊C₄×C₁₉	—	4	1	no	—
112	C₂²⋊C₄×C₁₉	—	4	1	no	—
113	C₄²×C₁₉	—	2	4	no	—
114	C₄²×C₁₉	—	4	2	no	—
115	C₄²×C₁₉	—	8	2	no	—
116	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
117	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
118	C₄²×C₁₉	#41	1	1	yes	characteristic
119	C₄²×C₁₉	#41	1	1	yes	characteristic
120	#9325	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
121	C₂³×C₁₉	—	2	4	no	—
122	C₂³×C₁₉	—	2	2	no	—
123	C₂³×C₁₉	—	4	2	no	—
124	C₂³×C₁₉	—	4	1	no	—
125	C₂³×C₁₉	—	4	1	no	—
126	C₂³×C₁₉	—	4	1	no	—
127	C₂³×C₁₉	#120	1	1	yes	characteristic
128	Q₈×C₁₉	—	4	2	no	—
129	D₄×C₁₉	—	2	4	no	—
130	D₄×C₁₉	—	2	2	no	—
131	D₄×C₁₉	—	4	2	no	—
132	D₄×C₁₉	—	4	2	no	—
133	D₄×C₁₉	—	8	1	no	—
134	D₄×C₁₉	—	8	1	no	—
135	D₄×C₁₉	—	8	1	no	—
136	D₄×C₁₉	#104	1	4	yes	complemented
137	C₂×C₄×C₁₉	—	2	1	no	—
138	C₂×C₄×C₁₉	—	2	1	no	—
139	C₂×C₄×C₁₉	—	2	2	no	—
140	C₂×C₄×C₁₉	—	2	2	no	—
141	C₂×C₄×C₁₉	—	2	2	no	—
142	C₂×C₄×C₁₉	—	2	4	no	—
143	C₂×C₄×C₁₉	—	2	2	no	—
144	C₂×C₄×C₁₉	—	4	1	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	2	no	—
147	C₂×C₄×C₁₉	—	4	2	no	—
148	C₂×C₄×C₁₉	—	4	1	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	4	1	no	—
152	C₂×C₄×C₁₉	—	4	1	no	—
153	C₂×C₄×C₁₉	—	8	2	no	—
154	C₂×C₄×C₁₉	—	8	2	no	—
155	C₂×C₄×C₁₉	—	8	2	no	—
156	C₂×C₄×C₁₉	—	8	8	no	—
157	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
158	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
159	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
161	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
162	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
163	C₈×C₁₉	—	4	2	no	—
164	C₈×C₁₉	—	4	2	no	—
165	C₈×C₁₉	—	8	1	no	—
166	#3109	C₂×C₁₉	1	1	yes	characteristic
167	#2275	C₂×C₁₉	1	1	yes	characteristic, complemented
168	#1980	C₂×C₁₉	1	1	yes	characteristic, complemented
169	#1505	C₂×C₁₉	1	1	yes	characteristic, complemented
170	#1490	C₂×C₁₉	1	1	yes	characteristic, complemented
171	#1300	C₂×C₁₉	1	1	yes	characteristic, complemented
172	#1285	C₂×C₁₉	1	1	yes	characteristic, complemented
173	C₂²×C₁₉	—	2	1	no	—
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	2	4	no	—
176	C₂²×C₁₉	—	4	4	no	—
177	C₂²×C₁₉	—	4	4	no	—
178	C₂²×C₁₉	—	4	2	no	—
179	C₂²×C₁₉	—	4	2	no	—
180	C₂²×C₁₉	—	8	1	no	—
181	C₂²×C₁₉	—	8	1	no	—
182	C₂²×C₁₉	—	8	1	no	—
183	C₂²×C₁₉	#386	1	1	yes	characteristic
184	C₂²×C₁₉	#453	1	1	yes	characteristic
185	C₂²×C₁₉	#454	1	1	yes	characteristic
186	C₄×C₁₉	—	2	1	no	—
187	C₄×C₁₉	—	2	1	no	—
188	C₄×C₁₉	—	2	1	no	—
189	C₄×C₁₉	—	2	1	no	—
190	C₄×C₁₉	—	2	1	no	—
191	C₄×C₁₉	—	4	2	no	—
192	C₄×C₁₉	—	4	4	no	—
193	C₄×C₁₉	—	4	2	no	—
194	C₄×C₁₉	—	4	2	no	—
195	C₄×C₁₉	—	8	1	no	—
196	C₄×C₁₉	C₂×#104	1	2	yes	—
197	#532	C₂²×C₁₉	1	1	yes	characteristic
198	C₂×C₄×D₄	—	2	1	no	—
199	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
200	#481	—	2	1	no	—
201	#476	C₄×C₁₉	1	2	yes	complemented
202	#459	C₄×C₁₉	1	2	yes	complemented
203	#447	—	2	1	no	—
204	#442	—	2	2	no	—
205	#432	C₂²×C₁₉	1	1	yes	characteristic
206	#432	C₂²×C₁₉	1	1	yes	characteristic
207	C₂×#104	—	2	2	no	—
208	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
209	C₄×C₄⋊C₄	—	2	1	no	—
210	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
211	C₄×C₂²⋊C₄	—	2	2	no	—
212	C₄×C₂²⋊C₄	—	2	1	no	—
213	#376	C₂²×C₁₉	1	1	yes	characteristic
214	C₂×#95	—	2	1	no	—
215	#327	—	2	1	no	—
216	#327	—	2	1	no	—
217	D₄⋊C₈	—	2	2	no	—
218	C₂×C₁₉	—	2	1	no	—
219	C₂×C₁₉	—	2	1	no	—
220	C₂×C₁₉	—	4	4	no	—
221	C₂×C₁₉	—	16	1	no	—
222	C₂×C₁₉	#1883	1	1	yes	characteristic
223	C₂×C₁₉	#1896	1	1	yes	characteristic
224	C₂×C₁₉	#1904	1	1	yes	characteristic
225	C₂×#41	—	2	1	no	—
226	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
227	C₂³×C₄	—	2	2	no	—
228	C₂³×C₄	—	2	1	no	—
229	C₂×D₈	—	2	2	no	—
230	C₂×M₁₆	—	2	1	no	—
231	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic, complemented
232	#127	C₂×C₄×C₁₉	1	1	yes	characteristic, complemented
233	#124	—	2	1	no	—
234	#121	—	2	1	no	—
235	#121	—	2	1	no	—
236	C₄×D₄	—	2	8	no	—
237	C₄×D₄	—	2	1	no	—
238	C₄×D₄	—	2	1	no	—
239	C₄×D₄	—	2	1	no	—
240	C₄×D₄	—	2	1	no	—
241	C₄×D₄	C₂×C₄×C₁₉	1	2	yes	—
242	C₄×D₄	D₄×C₁₉	1	2	yes	—
243	C₂×C₄⋊C₄	—	2	1	no	—
244	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
245	C₂×C₂²⋊C₄	—	2	2	no	—
246	C₂×C₂²⋊C₄	—	2	1	no	—
247	C₂×C₄²	—	2	1	no	—
248	C₂×C₄²	—	2	2	no	—
249	C₂×C₄²	D₄×C₁₉	1	2	yes	—
250	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
251	#106	—	2	2	no	—
252	C₄⋊C₈	—	2	1	no	—
253	C₄⋊C₈	C₂×C₄×C₁₉	1	2	yes	complemented
254	#104	—	4	4	no	—
255	#102	—	2	2	no	—
256	#102	—	2	2	no	—
257	C₂²⋊C₈	—	2	1	no	—
258	C₂²⋊C₈	—	2	1	no	—
259	#97	—	2	1	no	—
260	#97	—	2	1	no	—
261	#97	—	2	1	no	—
262	C₄×C₈	—	2	1	no	—
263	#95	—	2	2	no	—
264	#95	—	2	1	no	—
265	#95	—	2	1	no	—
266	#95	D₄×C₁₉	1	1	yes	characteristic
267	#95	D₄×C₁₉	1	1	yes	characteristic
268	C₁₉	#9325	1	1	yes	characteristic, direct product factor, Sylow
269	C₂⁴	—	2	1	no	—
270	#41	—	4	2	no	—
271	#41	—	4	2	no	—
272	C₂×Q₈	—	2	1	no	—
273	C₂×D₄	—	2	4	no	—
274	C₂×D₄	—	2	1	no	—
275	C₂×D₄	—	2	1	no	—
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	4	1	no	—
279	C₂×D₄	C₂²⋊C₄×C₁₉	1	2	yes	—
280	C₂²×C₄	—	2	1	no	—
281	C₂²×C₄	—	2	1	no	—
282	C₂²×C₄	—	2	2	no	—
283	C₂²×C₄	—	2	1	no	—
284	C₂²×C₄	—	2	8	no	—
285	C₂²×C₄	—	2	2	no	—
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	—	8	2	no	—
289	C₂²×C₄	—	8	2	no	—
290	C₂²×C₄	—	8	2	no	—
291	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
292	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
293	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
294	D₈	—	4	4	no	—
295	M₁₆	—	2	2	no	—
296	M₁₆	—	4	1	no	—
297	C₂×C₈	—	2	2	no	—
298	C₂×C₈	—	4	1	no	—
299	C₂×C₈	—	4	1	no	—
300	C₄⋊C₄	—	2	4	no	—
301	C₄⋊C₄	—	2	1	no	—
302	C₄⋊C₄	—	2	1	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	2	yes	—
305	C₂²⋊C₄	—	2	8	no	—
306	C₂²⋊C₄	—	2	2	no	—
307	C₂²⋊C₄	—	2	2	no	—
308	C₂²⋊C₄	—	4	1	no	—
309	C₂²⋊C₄	—	4	1	no	—
310	C₄²	—	2	4	no	—
311	C₄²	—	4	2	no	—
312	C₄²	—	8	2	no	—
313	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
314	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
315	C₄²	#41×C₁₉	1	1	yes	characteristic
316	C₄²	#41×C₁₉	1	1	yes	characteristic
317	C₂³	—	2	4	no	—
318	C₂³	—	2	2	no	—
319	C₂³	—	4	2	no	—
320	C₂³	—	4	1	no	—
321	C₂³	—	4	1	no	—
322	C₂³	—	4	1	no	—
323	C₂³	C₁₉×#120	1	1	yes	characteristic
324	Q₈	—	4	2	no	—
325	D₄	—	2	4	no	—
326	D₄	—	2	2	no	—
327	D₄	—	4	2	no	—
328	D₄	—	4	2	no	—
329	D₄	—	8	1	no	—
330	D₄	—	8	1	no	—
331	D₄	—	8	1	no	—
332	D₄	C₁₉×#104	1	4	yes	complemented
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	2	2	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	2	4	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	4	1	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	—	8	2	no	—
351	C₂×C₄	—	8	2	no	—
352	C₂×C₄	—	8	8	no	—
353	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
354	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
355	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
356	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
357	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
358	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
359	C₈	—	4	2	no	—
360	C₈	—	4	2	no	—
361	C₈	—	8	1	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	4	no	—
365	C₂²	—	4	4	no	—
366	C₂²	—	4	4	no	—
367	C₂²	—	4	2	no	—
368	C₂²	—	4	2	no	—
369	C₂²	—	8	1	no	—
370	C₂²	—	8	1	no	—
371	C₂²	—	8	1	no	—
372	C₂²	C₁₉×#386	1	1	yes	characteristic
373	C₂²	C₁₉×#453	1	1	yes	characteristic
374	C₂²	C₁₉×#454	1	1	yes	characteristic
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	2	1	no	—
379	C₄	—	2	1	no	—
380	C₄	—	4	2	no	—
381	C₄	—	4	4	no	—
382	C₄	—	4	2	no	—
383	C₄	—	4	2	no	—
384	C₄	—	8	1	no	—
385	C₄	C₂×C₁₉×#104	1	2	yes	—
386	C₂	—	2	1	no	—
387	C₂	—	2	1	no	—
388	C₂	—	4	4	no	—
389	C₂	—	16	1	no	—
390	C₂	C₁₉×#1883	1	1	yes	characteristic
391	C₂	C₁₉×#1896	1	1	yes	characteristic
392	C₂	C₁₉×#1904	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#386
commutator	C₄²	C₂²×C₄×C₁₉
Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₁₉×#3109	C₂
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₂×C₄²×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₉×#2275	C₂	semidirect
3. C₁₉×#1980	C₂	semidirect
4. C₁₉×#1505	C₂	semidirect
5. C₁₉×#1490	C₂	semidirect
6. C₁₉×#1300	C₂	semidirect
7. C₁₉×#1285	C₂	semidirect
12. C₁₉×#476	C₄	semidirect
13. C₁₉×#459	C₄	semidirect
35. C₁₉×C₄⋊Q₈	C₂×C₄	semidirect
36. C₁₉×#127	C₂×C₄	semidirect
57. C₁₉×C₄⋊C₈	C₂×C₄	semidirect
120. #9325	C₁₉	direct (N × H)
136. D₄×C₁₉	#104	semidirect
167. #2275	C₂×C₁₉	semidirect
168. #1980	C₂×C₁₉	semidirect
169. #1505	C₂×C₁₉	semidirect
170. #1490	C₂×C₁₉	semidirect
171. #1300	C₂×C₁₉	semidirect
172. #1285	C₂×C₁₉	semidirect
201. #476	C₄×C₁₉	semidirect
202. #459	C₄×C₁₉	semidirect
231. C₄⋊Q₈	C₂×C₄×C₁₉	semidirect
232. #127	C₂×C₄×C₁₉	semidirect
253. C₄⋊C₈	C₂×C₄×C₁₉	semidirect
268. C₁₉	#9325	direct (N × H)
332. D₄	C₁₉×#104	semidirect

Maximal subgroups

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

subgroup	index
C₁₉×#3109	2
C₁₉×#2275	2
C₁₉×#1980	2
C₁₉×#1505	2
C₁₉×#1490	2
C₁₉×#1300	2
C₁₉×#1285	2
#9325	19

Subgroups — C19×#9325 #18015284

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#9325 #18015284