Subgroups — C₁₉×#10204 #18016163

Order 4864.

598 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3245	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3226	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3152	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1988	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1980	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1502	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1283	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×#137	—	2	2	no	—
9	C₁₉×#532	C₂²	1	1	yes	characteristic
10	C₁₉×#532	C₂²	1	1	yes	characteristic
11	C₂×C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic
12	C₁₉×#500	—	2	1	no	—
13	C₁₉×#497	—	2	2	no	—
14	C₁₉×#494	—	2	1	no	—
15	C₁₉×#492	—	2	1	no	—
16	C₁₉×#486	—	2	1	no	—
17	C₁₉×#480	—	2	2	no	—
18	C₁₉×#474	—	2	2	no	—
19	C₁₉×#474	—	2	1	no	—
20	C₁₉×#474	—	2	1	no	—
21	C₁₉×#466	—	2	2	no	—
22	C₁₉×#459	—	2	1	no	—
23	C₁₉×#459	—	2	1	no	—
24	C₁₉×#431	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₉×#104	—	2	2	no	—
27	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
28	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₁₉×#340	—	2	2	no	—
30	C₁₉×#327	—	2	2	no	—
31	C₂×#41×C₁₉	—	2	1	no	—
32	C₂×#41×C₁₉	—	2	1	no	—
33	C₂²×Q₈×C₁₉	—	2	1	no	—
34	C₁₉×#137	—	4	4	no	—
35	C₁₉×#137	—	4	4	no	—
36	C₂×Q₁₆×C₁₉	—	2	4	no	—
37	C₂×SD₁₆×C₁₉	—	2	4	no	—
38	C₂×D₈×C₁₉	—	2	2	no	—
39	C₂×M₁₆×C₁₉	D₄	1	2	yes	—
40	C₂²×C₈×C₁₉	D₄	1	2	yes	—
41	C₁₉×C₄⋊Q₈	—	2	1	no	—
42	C₁₉×C₄⋊Q₈	—	2	1	no	—
43	C₁₉×C₄⋊Q₈	—	2	1	no	—
44	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
45	C₁₉×C₄⋊Q₈	D₄	1	2	yes	—
46	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
47	C₁₉×#127	D₄	1	1	yes	characteristic
48	C₁₉×#127	D₄	1	1	yes	characteristic
49	C₁₉×#124	—	2	1	no	—
50	C₁₉×#124	—	2	1	no	—
51	C₁₉×#121	—	2	1	no	—
52	C₁₉×#121	—	2	1	no	—
53	C₁₉×#121	—	2	1	no	—
54	C₁₉×#121	—	2	1	no	—
55	C₄×D₄×C₁₉	—	2	1	no	—
56	C₄×D₄×C₁₉	—	2	1	no	—
57	C₄×D₄×C₁₉	—	2	1	no	—
58	C₄×D₄×C₁₉	—	2	1	no	—
59	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
60	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
61	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
62	C₂×C₄²×C₁₉	—	2	1	no	—
63	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
64	C₁₉×#107	—	2	2	no	—
65	C₁₉×#107	—	2	4	no	—
66	C₁₉×C₄⋊C₈	—	2	1	no	—
67	C₁₉×C₄⋊C₈	—	2	1	no	—
68	C₁₉×C₄⋊C₈	—	2	1	no	—
69	C₁₉×#104	—	4	4	no	—
70	C₁₉×#102	—	2	2	no	—
71	C₁₉×#102	—	2	2	no	—
72	C₁₉×#102	—	2	4	no	—
73	C₁₉×C₂²⋊C₈	D₄	1	2	yes	—
74	C₁₉×#97	—	2	1	no	—
75	C₄×C₈×C₁₉	—	2	1	no	—
76	C₄×C₈×C₁₉	—	2	1	no	—
77	C₁₉×#95	—	2	1	no	—
78	#41×C₁₉	—	4	2	no	—
79	#41×C₁₉	—	4	2	no	—
80	#41×C₁₉	—	4	2	no	—
81	#41×C₁₉	—	4	2	no	—
82	C₂×Q₈×C₁₉	—	2	1	no	—
83	C₂×Q₈×C₁₉	—	2	2	no	—
84	C₂×Q₈×C₁₉	—	2	1	no	—
85	C₂×Q₈×C₁₉	—	4	1	no	—
86	C₂×Q₈×C₁₉	—	4	2	no	—
87	C₂×Q₈×C₁₉	—	4	2	no	—
88	C₂×D₄×C₁₉	—	2	1	no	—
89	C₂×D₄×C₁₉	—	2	1	no	—
90	C₂×D₄×C₁₉	—	2	1	no	—
91	C₂×D₄×C₁₉	—	2	1	no	—
92	C₂×D₄×C₁₉	—	2	1	no	—
93	C₂×D₄×C₁₉	—	2	1	no	—
94	C₂×D₄×C₁₉	—	4	1	no	—
95	C₂×D₄×C₁₉	—	4	1	no	—
96	C₂²×C₄×C₁₉	—	4	1	no	—
97	C₂²×C₄×C₁₉	—	4	1	no	—
98	C₂²×C₄×C₁₉	—	4	1	no	—
99	C₂²×C₄×C₁₉	—	4	1	no	—
100	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
101	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
102	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
103	Q₁₆×C₁₉	—	4	8	no	—
104	SD₁₆×C₁₉	—	4	8	no	—
105	D₈×C₁₉	—	8	2	no	—
106	M₁₆×C₁₉	—	2	2	no	—
107	M₁₆×C₁₉	D₈	1	4	yes	complemented
108	C₂×C₈×C₁₉	—	2	2	no	—
109	C₂×C₈×C₁₉	—	2	2	no	—
110	C₂×C₈×C₁₉	—	2	2	no	—
111	C₂×C₈×C₁₉	—	4	2	no	—
112	C₄⋊C₄×C₁₉	—	2	2	no	—
113	C₄⋊C₄×C₁₉	—	2	2	no	—
114	C₄⋊C₄×C₁₉	—	2	1	no	—
115	C₄⋊C₄×C₁₉	—	2	1	no	—
116	C₄⋊C₄×C₁₉	—	2	1	no	—
117	C₄⋊C₄×C₁₉	—	2	2	no	—
118	C₄⋊C₄×C₁₉	—	2	1	no	—
119	C₄⋊C₄×C₁₉	—	4	1	no	—
120	C₄⋊C₄×C₁₉	—	4	1	no	—
121	C₄⋊C₄×C₁₉	—	4	1	no	—
122	C₂²⋊C₄×C₁₉	—	4	1	no	—
123	C₂²⋊C₄×C₁₉	—	4	1	no	—
124	C₂²⋊C₄×C₁₉	—	4	1	no	—
125	C₂²⋊C₄×C₁₉	—	4	1	no	—
126	C₄²×C₁₉	—	4	2	no	—
127	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
129	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₁₉	#41	1	1	yes	characteristic
131	#10204	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
132	C₂³×C₁₉	—	4	1	no	—
133	C₂³×C₁₉	—	4	1	no	—
134	C₂³×C₁₉	#127	1	1	yes	characteristic
135	Q₈×C₁₉	—	4	4	no	—
136	Q₈×C₁₉	—	4	2	no	—
137	Q₈×C₁₉	—	4	2	no	—
138	Q₈×C₁₉	—	8	2	no	—
139	D₄×C₁₉	—	4	2	no	—
140	D₄×C₁₉	—	4	2	no	—
141	D₄×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	4	1	no	—
143	D₄×C₁₉	—	4	1	no	—
144	D₄×C₁₉	—	4	1	no	—
145	D₄×C₁₉	—	4	2	no	—
146	D₄×C₁₉	—	8	1	no	—
147	D₄×C₁₉	—	8	1	no	—
148	D₄×C₁₉	—	8	1	no	—
149	D₄×C₁₉	—	8	1	no	—
150	D₄×C₁₉	—	8	1	no	—
151	C₂×C₄×C₁₉	—	2	1	no	—
152	C₂×C₄×C₁₉	—	2	1	no	—
153	C₂×C₄×C₁₉	—	4	1	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	—	8	1	no	—
159	C₂×C₄×C₁₉	—	8	1	no	—
160	C₂×C₄×C₁₉	—	8	1	no	—
161	C₂×C₄×C₁₉	—	8	1	no	—
162	C₂×C₄×C₁₉	—	8	2	no	—
163	C₂×C₄×C₁₉	—	8	2	no	—
164	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
165	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
166	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
167	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
168	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
169	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
170	C₂×C₄×C₁₉	C₂×D₈	1	2	yes	—
171	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
172	C₈×C₁₉	—	2	4	no	—
173	C₈×C₁₉	—	4	2	no	—
174	C₈×C₁₉	—	4	2	no	—
175	#3245	C₂×C₁₉	1	1	yes	characteristic
176	#3226	C₂×C₁₉	1	1	yes	characteristic, complemented
177	#3152	C₂×C₁₉	1	1	yes	characteristic, complemented
178	#1988	C₂×C₁₉	1	1	yes	characteristic, complemented
179	#1980	C₂×C₁₉	1	1	yes	characteristic, complemented
180	#1502	C₂×C₁₉	1	1	yes	characteristic, complemented
181	#1283	C₂×C₁₉	1	1	yes	characteristic, complemented
182	C₂²×C₁₉	—	2	1	no	—
183	C₂²×C₁₉	—	2	1	no	—
184	C₂²×C₁₉	—	8	1	no	—
185	C₂²×C₁₉	—	8	1	no	—
186	C₂²×C₁₉	—	8	1	no	—
187	C₂²×C₁₉	—	8	1	no	—
188	C₂²×C₁₉	—	8	1	no	—
189	C₂²×C₁₉	—	8	1	no	—
190	C₂²×C₁₉	#392	1	1	yes	characteristic
191	C₂²×C₁₉	#493	1	1	yes	characteristic
192	C₂²×C₁₉	#496	1	1	yes	characteristic
193	C₄×C₁₉	—	2	1	no	—
194	C₄×C₁₉	—	2	1	no	—
195	C₄×C₁₉	—	2	1	no	—
196	C₄×C₁₉	—	8	2	no	—
197	C₄×C₁₉	—	8	1	no	—
198	C₄×C₁₉	—	8	1	no	—
199	C₄×C₁₉	—	8	2	no	—
200	C₄×C₁₉	#447	1	2	yes	—
201	C₄×C₁₉	#455	1	1	yes	characteristic
202	C₄×C₁₉	#456	1	1	yes	characteristic
203	C₄×C₁₉	#459	1	2	yes	—
204	C₂×#137	—	2	2	no	—
205	#532	C₂²×C₁₉	1	1	yes	characteristic
206	#532	C₂²×C₁₉	1	1	yes	characteristic
207	C₂×C₄⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic
208	#500	—	2	1	no	—
209	#497	—	2	2	no	—
210	#494	—	2	1	no	—
211	#492	—	2	1	no	—
212	#486	—	2	1	no	—
213	#480	—	2	2	no	—
214	#474	—	2	2	no	—
215	#474	—	2	1	no	—
216	#474	—	2	1	no	—
217	#466	—	2	2	no	—
218	#459	—	2	1	no	—
219	#459	—	2	1	no	—
220	#431	C₂²×C₁₉	1	1	yes	characteristic
221	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
222	C₂×#104	—	2	2	no	—
223	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
224	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
225	#340	—	2	2	no	—
226	#327	—	2	2	no	—
227	C₂×C₁₉	—	2	1	no	—
228	C₂×C₁₉	—	2	1	no	—
229	C₂×C₁₉	—	16	1	no	—
230	C₂×C₁₉	—	16	1	no	—
231	C₂×C₁₉	#2007	1	1	yes	characteristic
232	C₂×C₁₉	#2009	1	1	yes	characteristic
233	C₂×C₁₉	#2011	1	1	yes	characteristic
234	C₂×#41	—	2	1	no	—
235	C₂×#41	—	2	1	no	—
236	C₂²×Q₈	—	2	1	no	—
237	#137	—	4	4	no	—
238	#137	—	4	4	no	—
239	C₂×Q₁₆	—	2	4	no	—
240	C₂×SD₁₆	—	2	4	no	—
241	C₂×D₈	—	2	2	no	—
242	C₂×M₁₆	D₄×C₁₉	1	2	yes	—
243	C₂²×C₈	D₄×C₁₉	1	2	yes	—
244	C₄⋊Q₈	—	2	1	no	—
245	C₄⋊Q₈	—	2	1	no	—
246	C₄⋊Q₈	—	2	1	no	—
247	C₄⋊Q₈	D₄×C₁₉	1	2	yes	—
248	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
249	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
250	#127	D₄×C₁₉	1	1	yes	characteristic
251	#127	D₄×C₁₉	1	1	yes	characteristic
252	#124	—	2	1	no	—
253	#124	—	2	1	no	—
254	#121	—	2	1	no	—
255	#121	—	2	1	no	—
256	#121	—	2	1	no	—
257	#121	—	2	1	no	—
258	C₄×D₄	—	2	1	no	—
259	C₄×D₄	—	2	1	no	—
260	C₄×D₄	—	2	1	no	—
261	C₄×D₄	—	2	1	no	—
262	C₂×C₄⋊C₄	—	2	1	no	—
263	C₂×C₄⋊C₄	—	2	1	no	—
264	C₂×C₄⋊C₄	—	2	1	no	—
265	C₂×C₄²	—	2	1	no	—
266	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
267	#107	—	2	2	no	—
268	#107	—	2	4	no	—
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	2	1	no	—
271	C₄⋊C₈	—	2	1	no	—
272	#104	—	4	4	no	—
273	#102	—	2	2	no	—
274	#102	—	2	2	no	—
275	#102	—	2	4	no	—
276	C₂²⋊C₈	D₄×C₁₉	1	2	yes	—
277	#97	—	2	1	no	—
278	C₄×C₈	—	2	1	no	—
279	C₄×C₈	—	2	1	no	—
280	#95	—	2	1	no	—
281	C₁₉	#10204	1	1	yes	characteristic, direct product factor, Sylow
282	#41	—	4	2	no	—
283	#41	—	4	2	no	—
284	#41	—	4	2	no	—
285	#41	—	4	2	no	—
286	C₂×Q₈	—	2	1	no	—
287	C₂×Q₈	—	2	2	no	—
288	C₂×Q₈	—	2	1	no	—
289	C₂×Q₈	—	4	1	no	—
290	C₂×Q₈	—	4	2	no	—
291	C₂×Q₈	—	4	2	no	—
292	C₂×D₄	—	2	1	no	—
293	C₂×D₄	—	2	1	no	—
294	C₂×D₄	—	2	1	no	—
295	C₂×D₄	—	2	1	no	—
296	C₂×D₄	—	2	1	no	—
297	C₂×D₄	—	2	1	no	—
298	C₂×D₄	—	4	1	no	—
299	C₂×D₄	—	4	1	no	—
300	C₂²×C₄	—	4	1	no	—
301	C₂²×C₄	—	4	1	no	—
302	C₂²×C₄	—	4	1	no	—
303	C₂²×C₄	—	4	1	no	—
304	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
305	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
306	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
307	Q₁₆	—	4	8	no	—
308	SD₁₆	—	4	8	no	—
309	D₈	—	8	2	no	—
310	M₁₆	—	2	2	no	—
311	M₁₆	D₈×C₁₉	1	4	yes	complemented
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	2	2	no	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	—	4	2	no	—
316	C₄⋊C₄	—	2	2	no	—
317	C₄⋊C₄	—	2	2	no	—
318	C₄⋊C₄	—	2	1	no	—
319	C₄⋊C₄	—	2	1	no	—
320	C₄⋊C₄	—	2	1	no	—
321	C₄⋊C₄	—	2	2	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	4	1	no	—
324	C₄⋊C₄	—	4	1	no	—
325	C₄⋊C₄	—	4	1	no	—
326	C₂²⋊C₄	—	4	1	no	—
327	C₂²⋊C₄	—	4	1	no	—
328	C₂²⋊C₄	—	4	1	no	—
329	C₂²⋊C₄	—	4	1	no	—
330	C₄²	—	4	2	no	—
331	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
332	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
333	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
334	C₄²	#41×C₁₉	1	1	yes	characteristic
335	C₂³	—	4	1	no	—
336	C₂³	—	4	1	no	—
337	C₂³	C₁₉×#127	1	1	yes	characteristic
338	Q₈	—	4	4	no	—
339	Q₈	—	4	2	no	—
340	Q₈	—	4	2	no	—
341	Q₈	—	8	2	no	—
342	D₄	—	4	2	no	—
343	D₄	—	4	2	no	—
344	D₄	—	4	1	no	—
345	D₄	—	4	1	no	—
346	D₄	—	4	1	no	—
347	D₄	—	4	1	no	—
348	D₄	—	4	2	no	—
349	D₄	—	8	1	no	—
350	D₄	—	8	1	no	—
351	D₄	—	8	1	no	—
352	D₄	—	8	1	no	—
353	D₄	—	8	1	no	—
354	C₂×C₄	—	2	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	4	1	no	—
357	C₂×C₄	—	4	2	no	—
358	C₂×C₄	—	4	1	no	—
359	C₂×C₄	—	4	1	no	—
360	C₂×C₄	—	4	2	no	—
361	C₂×C₄	—	8	1	no	—
362	C₂×C₄	—	8	1	no	—
363	C₂×C₄	—	8	1	no	—
364	C₂×C₄	—	8	1	no	—
365	C₂×C₄	—	8	2	no	—
366	C₂×C₄	—	8	2	no	—
367	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
368	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
369	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
370	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
371	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
372	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
373	C₂×C₄	C₂×D₈×C₁₉	1	2	yes	—
374	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
375	C₈	—	2	4	no	—
376	C₈	—	4	2	no	—
377	C₈	—	4	2	no	—
378	C₂²	—	2	1	no	—
379	C₂²	—	2	1	no	—
380	C₂²	—	8	1	no	—
381	C₂²	—	8	1	no	—
382	C₂²	—	8	1	no	—
383	C₂²	—	8	1	no	—
384	C₂²	—	8	1	no	—
385	C₂²	—	8	1	no	—
386	C₂²	C₁₉×#392	1	1	yes	characteristic
387	C₂²	C₁₉×#493	1	1	yes	characteristic
388	C₂²	C₁₉×#496	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	8	2	no	—
393	C₄	—	8	1	no	—
394	C₄	—	8	1	no	—
395	C₄	—	8	2	no	—
396	C₄	C₁₉×#447	1	2	yes	—
397	C₄	C₁₉×#455	1	1	yes	characteristic
398	C₄	C₁₉×#456	1	1	yes	characteristic
399	C₄	C₁₉×#459	1	2	yes	—
400	C₂	—	2	1	no	—
401	C₂	—	2	1	no	—
402	C₂	—	16	1	no	—
403	C₂	—	16	1	no	—
404	C₂	C₁₉×#2007	1	1	yes	characteristic
405	C₂	C₁₉×#2009	1	1	yes	characteristic
406	C₂	C₁₉×#2011	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#392
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₁₉×#3245	C₂
LCS	G ▷ C₂×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×#3226	C₂	semidirect
3. C₁₉×#3152	C₂	semidirect
4. C₁₉×#1988	C₂	semidirect
5. C₁₉×#1980	C₂	semidirect
6. C₁₉×#1502	C₂	semidirect
7. C₁₉×#1283	C₂	semidirect
107. M₁₆×C₁₉	D₈	semidirect
131. #10204	C₁₉	direct (N × H)
176. #3226	C₂×C₁₉	semidirect
177. #3152	C₂×C₁₉	semidirect
178. #1988	C₂×C₁₉	semidirect
179. #1980	C₂×C₁₉	semidirect
180. #1502	C₂×C₁₉	semidirect
181. #1283	C₂×C₁₉	semidirect
281. C₁₉	#10204	direct (N × H)
311. M₁₆	D₈×C₁₉	semidirect

Maximal subgroups

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

subgroup	index
C₁₉×#3245	2
C₁₉×#3226	2
C₁₉×#3152	2
C₁₉×#1988	2
C₁₉×#1980	2
C₁₉×#1502	2
C₁₉×#1283	2
#10204	19

Subgroups — C19×#10204 #18016163

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10204 #18016163