Subgroups — C₁₉×#19407 #18025366

Order 4864.

576 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3231	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#3113	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#3104	C₂	1	1	yes	maximal, characteristic
4	C₁₉×#2982	C₂	1	1	yes	maximal, characteristic
5	C₁₉×#1684	C₂	1	2	yes	maximal, complemented
6	C₁₉×#1680	C₂	1	2	yes	maximal, complemented
7	C₁₉×#1674	C₂	1	2	yes	maximal, complemented
8	C₁₉×#1672	C₂	1	2	yes	maximal, complemented
9	C₁₉×#1572	C₂	1	1	yes	maximal, characteristic
10	C₁₉×#1554	C₂	1	1	yes	maximal, characteristic
11	C₁₉×#1544	C₂	1	1	yes	maximal, characteristic
12	C₁₉×#533	C₂²	1	1	yes	characteristic
13	C₁₉×#533	C₂²	1	1	yes	characteristic
14	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic
15	C₁₉×#500	C₂²	1	1	yes	characteristic
16	C₁₉×#498	C₂²	1	1	yes	characteristic
17	C₁₉×#487	C₂²	1	1	yes	characteristic
18	C₁₉×#487	C₂²	1	1	yes	characteristic
19	C₁₉×#485	—	2	2	no	—
20	C₁₉×#484	—	2	1	no	—
21	C₁₉×#483	—	2	1	no	—
22	C₁₉×#479	—	2	2	no	—
23	C₁₉×#477	C₂²	1	2	yes	—
24	C₁₉×#475	C₂²	1	2	yes	—
25	C₁₉×#462	C₂²	1	2	yes	—
26	C₁₉×#462	C₂²	1	2	yes	—
27	C₁₉×#451	—	2	1	no	—
28	C₁₉×#451	—	2	1	no	—
29	C₈×Q₈×C₁₉	—	2	2	no	—
30	C₈×Q₈×C₁₉	C₂²	1	2	yes	—
31	C₈×Q₈×C₁₉	C₂²	1	2	yes	—
32	C₁₉×#441	—	2	2	no	—
33	C₄×Q₁₆×C₁₉	—	2	2	no	—
34	C₁₉×#432	C₂²	1	1	yes	characteristic
35	C₁₉×#431	—	2	2	no	—
36	C₁₉×#431	C₂²	1	1	yes	characteristic
37	C₁₉×#431	C₂²	1	1	yes	characteristic
38	C₁₉×#431	C₂²	1	1	yes	characteristic
39	C₁₉×#335	C₂²	1	2	yes	—
40	C₁₉×#334	C₂²	1	2	yes	—
41	C₁₉×#333	C₂²	1	2	yes	—
42	C₁₉×#332	C₂²	1	2	yes	—
43	C₁₉×#332	C₂²	1	2	yes	—
44	C₁₉×#332	C₂²	1	2	yes	—
45	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
46	C₂×Q₁₆×C₁₉	—	2	2	no	—
47	C₂×Q₁₆×C₁₉	—	2	2	no	—
48	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
49	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
50	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
51	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
52	C₁₉×#125	—	2	1	no	—
53	C₁₉×#125	—	2	1	no	—
54	C₁₉×C₂²⋊Q₈	—	2	1	no	—
55	C₁₉×C₂²⋊Q₈	—	2	1	no	—
56	C₁₉×C₂²⋊Q₈	—	2	1	no	—
57	C₁₉×C₂²⋊Q₈	—	2	1	no	—
58	C₄×Q₈×C₁₉	—	2	1	no	—
59	C₄×Q₈×C₁₉	—	2	1	no	—
60	C₄×Q₈×C₁₉	—	2	1	no	—
61	C₄×Q₈×C₁₉	—	2	1	no	—
62	C₄×Q₈×C₁₉	—	2	1	no	—
63	C₄×Q₈×C₁₉	—	2	1	no	—
64	C₄×Q₈×C₁₉	D₄	1	2	yes	—
65	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
66	C₁₉×#117	—	2	1	no	—
67	C₁₉×#117	—	2	1	no	—
68	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
69	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
70	C₂×C₄²×C₁₉	—	2	1	no	—
71	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
72	C₁₉×#107	—	2	2	no	—
73	C₁₉×#107	—	2	2	no	—
74	C₁₉×#106	—	2	2	no	—
75	C₁₉×#106	—	2	2	no	—
76	C₁₉×C₄⋊C₈	—	2	2	no	—
77	C₁₉×C₄⋊C₈	—	2	2	no	—
78	C₁₉×C₄⋊C₈	D₄	1	2	yes	—
79	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
80	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
81	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
82	C₁₉×#103	—	2	2	no	—
83	C₁₉×#103	—	2	2	no	—
84	C₁₉×#103	—	2	2	no	—
85	C₁₉×#103	—	2	2	no	—
86	C₁₉×#103	—	2	2	no	—
87	C₁₉×#103	—	2	2	no	—
88	C₁₉×C₂²⋊C₈	—	2	1	no	—
89	C₁₉×C₂²⋊C₈	—	2	1	no	—
90	C₁₉×C₂²⋊C₈	—	2	1	no	—
91	C₁₉×C₂²⋊C₈	D₄	1	2	yes	—
92	C₁₉×#97	—	2	1	no	—
93	C₄×C₈×C₁₉	—	2	2	no	—
94	C₄×C₈×C₁₉	—	2	2	no	—
95	C₄×C₈×C₁₉	—	2	1	no	—
96	C₄×C₈×C₁₉	—	2	1	no	—
97	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
98	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
99	C₂×Q₈×C₁₉	—	2	4	no	—
100	C₂×Q₈×C₁₉	—	2	1	no	—
101	C₂×Q₈×C₁₉	—	2	1	no	—
102	C₂×Q₈×C₁₉	—	2	1	no	—
103	C₂×Q₈×C₁₉	—	2	1	no	—
104	C₂×Q₈×C₁₉	—	2	1	no	—
105	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
106	C₂²×C₄×C₁₉	—	2	1	no	—
107	C₂²×C₄×C₁₉	—	2	1	no	—
108	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
111	Q₁₆×C₁₉	—	4	4	no	—
112	Q₁₆×C₁₉	—	4	4	no	—
113	C₂×C₈×C₁₉	—	2	2	no	—
114	C₂×C₈×C₁₉	—	2	2	no	—
115	C₂×C₈×C₁₉	—	2	2	no	—
116	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
117	C₂×C₈×C₁₉	C₂×D₄	1	2	yes	—
118	C₄⋊C₄×C₁₉	—	2	2	no	—
119	C₄⋊C₄×C₁₉	—	2	1	no	—
120	C₄⋊C₄×C₁₉	—	2	2	no	—
121	C₄⋊C₄×C₁₉	—	2	1	no	—
122	C₄⋊C₄×C₁₉	—	2	1	no	—
123	C₄⋊C₄×C₁₉	—	2	1	no	—
124	C₄⋊C₄×C₁₉	—	2	1	no	—
125	C₄⋊C₄×C₁₉	—	2	1	no	—
126	C₄⋊C₄×C₁₉	—	2	1	no	—
127	C₄⋊C₄×C₁₉	—	2	1	no	—
128	C₄⋊C₄×C₁₉	—	2	1	no	—
129	C₄⋊C₄×C₁₉	—	4	1	no	—
130	C₄⋊C₄×C₁₉	—	4	1	no	—
131	C₄⋊C₄×C₁₉	—	4	1	no	—
132	C₄⋊C₄×C₁₉	—	4	1	no	—
133	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
134	C₂²⋊C₄×C₁₉	—	4	1	no	—
135	C₂²⋊C₄×C₁₉	—	4	1	no	—
136	C₄²×C₁₉	—	2	2	no	—
137	C₄²×C₁₉	—	2	2	no	—
138	C₄²×C₁₉	—	4	1	no	—
139	C₄²×C₁₉	—	4	1	no	—
140	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
141	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
142	C₄²×C₁₉	#41	1	1	yes	characteristic
143	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
144	#19407	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
145	C₂³×C₁₉	#121	1	1	yes	characteristic
146	Q₈×C₁₉	—	2	4	no	—
147	Q₈×C₁₉	—	2	2	no	—
148	Q₈×C₁₉	—	4	2	no	—
149	Q₈×C₁₉	—	4	2	no	—
150	Q₈×C₁₉	—	4	2	no	—
151	Q₈×C₁₉	—	8	1	no	—
152	Q₈×C₁₉	#135	1	4	yes	—
153	C₂×C₄×C₁₉	—	2	4	no	—
154	C₂×C₄×C₁₉	—	2	2	no	—
155	C₂×C₄×C₁₉	—	2	2	no	—
156	C₂×C₄×C₁₉	—	2	2	no	—
157	C₂×C₄×C₁₉	—	2	2	no	—
158	C₂×C₄×C₁₉	—	4	1	no	—
159	C₂×C₄×C₁₉	—	4	1	no	—
160	C₂×C₄×C₁₉	—	4	1	no	—
161	C₂×C₄×C₁₉	—	4	1	no	—
162	C₂×C₄×C₁₉	—	4	1	no	—
163	C₂×C₄×C₁₉	—	8	1	no	—
164	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
165	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
166	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
167	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
168	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
169	C₂×C₄×C₁₉	C₂×#41	1	1	yes	characteristic
170	C₈×C₁₉	—	2	2	no	—
171	C₈×C₁₉	—	2	2	no	—
172	C₈×C₁₉	—	4	2	no	—
173	C₈×C₁₉	—	4	2	no	—
174	C₈×C₁₉	—	4	2	no	—
175	#3231	C₂×C₁₉	1	1	yes	characteristic
176	#3113	C₂×C₁₉	1	1	yes	characteristic
177	#3104	C₂×C₁₉	1	1	yes	characteristic
178	#2982	C₂×C₁₉	1	1	yes	characteristic
179	#1684	C₂×C₁₉	1	2	yes	complemented
180	#1680	C₂×C₁₉	1	2	yes	complemented
181	#1674	C₂×C₁₉	1	2	yes	complemented
182	#1672	C₂×C₁₉	1	2	yes	complemented
183	#1572	C₂×C₁₉	1	1	yes	characteristic
184	#1554	C₂×C₁₉	1	1	yes	characteristic
185	#1544	C₂×C₁₉	1	1	yes	characteristic
186	C₂²×C₁₉	—	2	1	no	—
187	C₂²×C₁₉	—	2	1	no	—
188	C₂²×C₁₉	—	2	1	no	—
189	C₂²×C₁₉	C₂×#121	1	1	yes	characteristic
190	C₄×C₁₉	—	2	1	no	—
191	C₄×C₁₉	—	2	4	no	—
192	C₄×C₁₉	—	2	1	no	—
193	C₄×C₁₉	—	2	1	no	—
194	C₄×C₁₉	—	2	1	no	—
195	C₄×C₁₉	—	4	2	no	—
196	C₄×C₁₉	—	8	1	no	—
197	C₄×C₁₉	—	8	1	no	—
198	C₄×C₁₉	—	8	1	no	—
199	C₄×C₁₉	—	8	1	no	—
200	C₄×C₁₉	C₂×#135	1	2	yes	—
201	C₄×C₁₉	#578	1	2	yes	—
202	#533	C₂²×C₁₉	1	1	yes	characteristic
203	#533	C₂²×C₁₉	1	1	yes	characteristic
204	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic
205	#500	C₂²×C₁₉	1	1	yes	characteristic
206	#498	C₂²×C₁₉	1	1	yes	characteristic
207	#487	C₂²×C₁₉	1	1	yes	characteristic
208	#487	C₂²×C₁₉	1	1	yes	characteristic
209	#485	—	2	2	no	—
210	#484	—	2	1	no	—
211	#483	—	2	1	no	—
212	#479	—	2	2	no	—
213	#477	C₂²×C₁₉	1	2	yes	—
214	#475	C₂²×C₁₉	1	2	yes	—
215	#462	C₂²×C₁₉	1	2	yes	—
216	#462	C₂²×C₁₉	1	2	yes	—
217	#451	—	2	1	no	—
218	#451	—	2	1	no	—
219	C₈×Q₈	—	2	2	no	—
220	C₈×Q₈	C₂²×C₁₉	1	2	yes	—
221	C₈×Q₈	C₂²×C₁₉	1	2	yes	—
222	#441	—	2	2	no	—
223	C₄×Q₁₆	—	2	2	no	—
224	#432	C₂²×C₁₉	1	1	yes	characteristic
225	#431	—	2	2	no	—
226	#431	C₂²×C₁₉	1	1	yes	characteristic
227	#431	C₂²×C₁₉	1	1	yes	characteristic
228	#431	C₂²×C₁₉	1	1	yes	characteristic
229	#335	C₂²×C₁₉	1	2	yes	—
230	#334	C₂²×C₁₉	1	2	yes	—
231	#333	C₂²×C₁₉	1	2	yes	—
232	#332	C₂²×C₁₉	1	2	yes	—
233	#332	C₂²×C₁₉	1	2	yes	—
234	#332	C₂²×C₁₉	1	2	yes	—
235	C₂×C₁₉	—	4	1	no	—
236	C₂×C₁₉	#3044	1	1	yes	characteristic
237	C₂×C₁₉	#3050	1	1	yes	characteristic
238	C₂×C₁₉	#3069	1	1	yes	characteristic
239	C₂²×Q₈	D₄×C₁₉	1	1	yes	characteristic
240	C₂×Q₁₆	—	2	2	no	—
241	C₂×Q₁₆	—	2	2	no	—
242	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
243	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
244	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
245	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
246	#125	—	2	1	no	—
247	#125	—	2	1	no	—
248	C₂²⋊Q₈	—	2	1	no	—
249	C₂²⋊Q₈	—	2	1	no	—
250	C₂²⋊Q₈	—	2	1	no	—
251	C₂²⋊Q₈	—	2	1	no	—
252	C₄×Q₈	—	2	1	no	—
253	C₄×Q₈	—	2	1	no	—
254	C₄×Q₈	—	2	1	no	—
255	C₄×Q₈	—	2	1	no	—
256	C₄×Q₈	—	2	1	no	—
257	C₄×Q₈	—	2	1	no	—
258	C₄×Q₈	D₄×C₁₉	1	2	yes	—
259	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
260	#117	—	2	1	no	—
261	#117	—	2	1	no	—
262	C₂×C₄⋊C₄	—	2	1	no	—
263	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
264	C₂×C₄²	—	2	1	no	—
265	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
266	#107	—	2	2	no	—
267	#107	—	2	2	no	—
268	#106	—	2	2	no	—
269	#106	—	2	2	no	—
270	C₄⋊C₈	—	2	2	no	—
271	C₄⋊C₈	—	2	2	no	—
272	C₄⋊C₈	D₄×C₁₉	1	2	yes	—
273	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
274	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
275	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
276	#103	—	2	2	no	—
277	#103	—	2	2	no	—
278	#103	—	2	2	no	—
279	#103	—	2	2	no	—
280	#103	—	2	2	no	—
281	#103	—	2	2	no	—
282	C₂²⋊C₈	—	2	1	no	—
283	C₂²⋊C₈	—	2	1	no	—
284	C₂²⋊C₈	—	2	1	no	—
285	C₂²⋊C₈	D₄×C₁₉	1	2	yes	—
286	#97	—	2	1	no	—
287	C₄×C₈	—	2	2	no	—
288	C₄×C₈	—	2	2	no	—
289	C₄×C₈	—	2	1	no	—
290	C₄×C₈	—	2	1	no	—
291	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
292	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
293	C₁₉	#19407	1	1	yes	characteristic, direct product factor, Sylow
294	C₂×Q₈	—	2	4	no	—
295	C₂×Q₈	—	2	1	no	—
296	C₂×Q₈	—	2	1	no	—
297	C₂×Q₈	—	2	1	no	—
298	C₂×Q₈	—	2	1	no	—
299	C₂×Q₈	—	2	1	no	—
300	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
301	C₂²×C₄	—	2	1	no	—
302	C₂²×C₄	—	2	1	no	—
303	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
304	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
305	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
306	Q₁₆	—	4	4	no	—
307	Q₁₆	—	4	4	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
312	C₂×C₈	C₂×D₄×C₁₉	1	2	yes	—
313	C₄⋊C₄	—	2	2	no	—
314	C₄⋊C₄	—	2	1	no	—
315	C₄⋊C₄	—	2	2	no	—
316	C₄⋊C₄	—	2	1	no	—
317	C₄⋊C₄	—	2	1	no	—
318	C₄⋊C₄	—	2	1	no	—
319	C₄⋊C₄	—	2	1	no	—
320	C₄⋊C₄	—	2	1	no	—
321	C₄⋊C₄	—	2	1	no	—
322	C₄⋊C₄	—	2	1	no	—
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	4	1	no	—
325	C₄⋊C₄	—	4	1	no	—
326	C₄⋊C₄	—	4	1	no	—
327	C₄⋊C₄	—	4	1	no	—
328	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
329	C₂²⋊C₄	—	4	1	no	—
330	C₂²⋊C₄	—	4	1	no	—
331	C₄²	—	2	2	no	—
332	C₄²	—	2	2	no	—
333	C₄²	—	4	1	no	—
334	C₄²	—	4	1	no	—
335	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
336	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
337	C₄²	#41×C₁₉	1	1	yes	characteristic
338	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
339	C₂³	C₁₉×#121	1	1	yes	characteristic
340	Q₈	—	2	4	no	—
341	Q₈	—	2	2	no	—
342	Q₈	—	4	2	no	—
343	Q₈	—	4	2	no	—
344	Q₈	—	4	2	no	—
345	Q₈	—	8	1	no	—
346	Q₈	C₁₉×#135	1	4	yes	—
347	C₂×C₄	—	2	4	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	4	1	no	—
353	C₂×C₄	—	4	1	no	—
354	C₂×C₄	—	4	1	no	—
355	C₂×C₄	—	4	1	no	—
356	C₂×C₄	—	4	1	no	—
357	C₂×C₄	—	8	1	no	—
358	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
359	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
360	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
361	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
362	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
363	C₂×C₄	C₂×#41×C₁₉	1	1	yes	characteristic
364	C₈	—	2	2	no	—
365	C₈	—	2	2	no	—
366	C₈	—	4	2	no	—
367	C₈	—	4	2	no	—
368	C₈	—	4	2	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	2	1	no	—
372	C₂²	C₂×C₁₉×#121	1	1	yes	characteristic
373	C₄	—	2	1	no	—
374	C₄	—	2	4	no	—
375	C₄	—	2	1	no	—
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	4	2	no	—
379	C₄	—	8	1	no	—
380	C₄	—	8	1	no	—
381	C₄	—	8	1	no	—
382	C₄	—	8	1	no	—
383	C₄	C₂×C₁₉×#135	1	2	yes	—
384	C₄	C₁₉×#578	1	2	yes	—
385	C₂	—	4	1	no	—
386	C₂	C₁₉×#3044	1	1	yes	characteristic
387	C₂	C₁₉×#3050	1	1	yes	characteristic
388	C₂	C₁₉×#3069	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₁₉
prime radical	C₂³×C₁₉	#121
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
5. C₁₉×#1684	C₂	semidirect
6. C₁₉×#1680	C₂	semidirect
7. C₁₉×#1674	C₂	semidirect
8. C₁₉×#1672	C₂	semidirect
144. #19407	C₁₉	direct (N × H)
179. #1684	C₂×C₁₉	semidirect
180. #1680	C₂×C₁₉	semidirect
181. #1674	C₂×C₁₉	semidirect
182. #1672	C₂×C₁₉	semidirect
293. C₁₉	#19407	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₉×#3231	2
C₁₉×#3113	2
C₁₉×#3104	2
C₁₉×#2982	2
C₁₉×#1684	2
C₁₉×#1680	2
C₁₉×#1674	2
C₁₉×#1672	2
C₁₉×#1572	2
C₁₉×#1554	2
C₁₉×#1544	2
#19407	19

Subgroups — C19×#19407 #18025366

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#19407 #18025366