Subgroups — C₁₉×#9340 #18015299

Order 4864.

480 conjugacy classes of subgroups.

The subgroup lattice has 406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3217	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2995	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#1965	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1555	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1529	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1307	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1291	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
9	C₁₉×#529	C₂²	1	1	yes	characteristic
10	C₁₉×#496	—	2	1	no	—
11	C₁₉×#490	—	2	1	no	—
12	C₁₉×#460	—	2	1	no	—
13	C₁₉×#459	—	2	1	no	—
14	C₁₉×#450	C₄	1	2	yes	—
15	C₁₉×#447	C₄	1	2	yes	—
16	C₁₉×#446	—	2	1	no	—
17	C₁₉×#436	—	2	1	no	—
18	C₁₉×#435	—	2	1	no	—
19	C₁₉×#435	—	2	1	no	—
20	C₁₉×#433	—	2	1	no	—
21	C₁₉×#432	C₂²	1	1	yes	characteristic
22	C₁₉×#432	C₂²	1	1	yes	characteristic
23	C₁₉×#432	C₂²	1	1	yes	characteristic
24	C₁₉×#424	—	2	1	no	—
25	C₁₉×#423	C₂²	1	1	yes	characteristic
26	C₂×C₁₉×#100	—	2	1	no	—
27	C₂×C₁₉×#100	—	2	1	no	—
28	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
29	C₁₉×#331	—	2	1	no	—
30	C₁₉×#331	—	2	1	no	—
31	C₁₉×#330	—	2	1	no	—
32	C₁₉×#329	—	2	1	no	—
33	C₂²×D₄×C₁₉	—	2	1	no	—
34	C₂²×D₄×C₁₉	—	2	1	no	—
35	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
36	C₂×SD₁₆×C₁₉	—	2	2	no	—
37	C₂×D₈×C₁₉	—	2	2	no	—
38	C₂×M₁₆×C₁₉	—	2	1	no	—
39	C₂×M₁₆×C₁₉	—	2	1	no	—
40	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
41	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
42	C₂²×C₈×C₁₉	—	2	1	no	—
43	C₁₉×#127	—	2	1	no	—
44	C₁₉×#127	—	2	1	no	—
45	C₁₉×#127	—	2	1	no	—
46	C₁₉×#127	—	2	1	no	—
47	C₁₉×#126	—	2	1	no	—
48	C₁₉×#125	D₄	1	1	yes	characteristic
49	C₁₉×#124	D₄	1	1	yes	characteristic
50	C₁₉×#123	—	2	1	no	—
51	C₁₉×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
52	C₁₉×#121	C₂×C₄	1	1	yes	characteristic
53	C₄×Q₈×C₁₉	D₄	1	1	yes	characteristic
54	C₄×D₄×C₁₉	—	2	1	no	—
55	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
56	C₁₉×#117	—	2	1	no	—
57	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
58	C₁₉×C₄⋊C₈	—	2	1	no	—
59	C₁₉×C₄⋊C₈	—	2	1	no	—
60	C₁₉×C₄⋊C₈	—	2	1	no	—
61	C₁₉×C₄⋊C₈	—	2	1	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
65	C₁₉×C₄⋊C₈	D₄	1	1	yes	characteristic
66	C₁₉×#102	—	2	2	no	—
67	C₁₉×#102	—	2	2	no	—
68	C₁₉×#100	—	4	2	no	—
69	C₁₉×#100	—	4	2	no	—
70	C₁₉×C₂²⋊C₈	—	2	1	no	—
71	C₁₉×C₂²⋊C₈	—	2	1	no	—
72	C₁₉×C₂²⋊C₈	—	2	1	no	—
73	C₁₉×C₂²⋊C₈	—	2	1	no	—
74	C₁₉×C₂²⋊C₈	C₂×C₄	1	2	yes	—
75	C₁₉×#97	—	2	1	no	—
76	C₁₉×#97	—	2	1	no	—
77	C₁₉×#97	—	2	1	no	—
78	C₁₉×#97	—	2	1	no	—
79	C₁₉×#97	—	2	1	no	—
80	C₄×C₈×C₁₉	—	2	1	no	—
81	C₄×C₈×C₁₉	—	2	1	no	—
82	C₂⁴×C₁₉	—	2	2	no	—
83	C₂×Q₈×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
84	C₂×D₄×C₁₉	—	2	1	no	—
85	C₂×D₄×C₁₉	—	2	2	no	—
86	C₂×D₄×C₁₉	—	2	2	no	—
87	C₂×D₄×C₁₉	—	4	1	no	—
88	C₂×D₄×C₁₉	—	4	1	no	—
89	C₂×D₄×C₁₉	—	4	1	no	—
90	C₂×D₄×C₁₉	—	4	1	no	—
91	C₂×D₄×C₁₉	—	4	1	no	—
92	C₂×D₄×C₁₉	—	4	1	no	—
93	C₂×D₄×C₁₉	—	4	1	no	—
94	C₂×D₄×C₁₉	—	4	1	no	—
95	C₂×D₄×C₁₉	—	8	2	no	—
96	C₂×D₄×C₁₉	—	8	2	no	—
97	C₂×D₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
98	C₂²×C₄×C₁₉	—	2	1	no	—
99	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
100	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
101	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
102	SD₁₆×C₁₉	—	8	2	no	—
103	D₈×C₁₉	—	8	2	no	—
104	M₁₆×C₁₉	—	2	2	no	—
105	M₁₆×C₁₉	—	4	1	no	—
106	M₁₆×C₁₉	—	4	1	no	—
107	M₁₆×C₁₉	—	4	1	no	—
108	M₁₆×C₁₉	—	8	1	no	—
109	C₂×C₈×C₁₉	—	2	2	no	—
110	C₂×C₈×C₁₉	—	2	1	no	—
111	C₂×C₈×C₁₉	—	2	1	no	—
112	C₂×C₈×C₁₉	—	2	1	no	—
113	C₂×C₈×C₁₉	—	2	1	no	—
114	C₂×C₈×C₁₉	—	4	1	no	—
115	C₂×C₈×C₁₉	—	4	1	no	—
116	C₂×C₈×C₁₉	—	8	1	no	—
117	C₄⋊C₄×C₁₉	—	2	1	no	—
118	C₄⋊C₄×C₁₉	—	2	1	no	—
119	C₄⋊C₄×C₁₉	—	2	1	no	—
120	C₄⋊C₄×C₁₉	—	2	1	no	—
121	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
122	C₄⋊C₄×C₁₉	C₂²⋊C₄	1	1	yes	characteristic
123	C₂²⋊C₄×C₁₉	—	2	1	no	—
124	C₂²⋊C₄×C₁₉	—	2	1	no	—
125	C₂²⋊C₄×C₁₉	—	2	1	no	—
126	C₂²⋊C₄×C₁₉	—	2	1	no	—
127	C₂²⋊C₄×C₁₉	—	2	1	no	—
128	C₄²×C₁₉	—	2	1	no	—
129	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₁₉	#41	1	1	yes	characteristic
133	#9340	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
134	C₂³×C₁₉	—	2	1	no	—
135	C₂³×C₁₉	—	4	2	no	—
136	C₂³×C₁₉	—	4	2	no	—
137	C₂³×C₁₉	—	4	2	no	—
138	C₂³×C₁₉	—	8	2	no	—
139	C₂³×C₁₉	—	8	2	no	—
140	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
141	Q₈×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	4	1	no	—
143	D₄×C₁₉	—	4	2	no	—
144	D₄×C₁₉	—	4	2	no	—
145	D₄×C₁₉	—	8	2	no	—
146	D₄×C₁₉	—	8	1	no	—
147	D₄×C₁₉	—	8	1	no	—
148	D₄×C₁₉	—	8	2	no	—
149	D₄×C₁₉	—	8	2	no	—
150	D₄×C₁₉	—	8	1	no	—
151	D₄×C₁₉	—	8	1	no	—
152	D₄×C₁₉	—	8	1	no	—
153	C₂×C₄×C₁₉	—	2	1	no	—
154	C₂×C₄×C₁₉	—	2	1	no	—
155	C₂×C₄×C₁₉	—	2	1	no	—
156	C₂×C₄×C₁₉	—	2	1	no	—
157	C₂×C₄×C₁₉	—	2	1	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	C₂×C₂²⋊C₄	1	1	yes	characteristic
163	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
164	C₂×C₄×C₁₉	#120	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	#123	1	1	yes	characteristic
168	C₈×C₁₉	—	4	2	no	—
169	C₈×C₁₉	—	4	2	no	—
170	C₈×C₁₉	—	4	1	no	—
171	C₈×C₁₉	—	4	1	no	—
172	C₈×C₁₉	—	4	1	no	—
173	C₈×C₁₉	—	4	1	no	—
174	C₈×C₁₉	—	8	1	no	—
175	#3217	C₂×C₁₉	1	1	yes	characteristic
176	#2995	C₂×C₁₉	1	1	yes	characteristic, complemented
177	#1965	C₂×C₁₉	1	1	yes	characteristic, complemented
178	#1555	C₂×C₁₉	1	1	yes	characteristic, complemented
179	#1529	C₂×C₁₉	1	1	yes	characteristic, complemented
180	#1307	C₂×C₁₉	1	1	yes	characteristic, complemented
181	#1291	C₂×C₁₉	1	1	yes	characteristic, complemented
182	C₂²×C₁₉	—	2	1	no	—
183	C₂²×C₁₉	—	2	1	no	—
184	C₂²×C₁₉	—	2	1	no	—
185	C₂²×C₁₉	—	4	1	no	—
186	C₂²×C₁₉	—	4	1	no	—
187	C₂²×C₁₉	—	4	1	no	—
188	C₂²×C₁₉	—	8	2	no	—
189	C₂²×C₁₉	—	8	2	no	—
190	C₂²×C₁₉	—	8	2	no	—
191	C₂²×C₁₉	—	16	2	no	—
192	C₂²×C₁₉	—	16	2	no	—
193	C₂²×C₁₉	#386	1	1	yes	characteristic
194	C₄×C₁₉	—	2	1	no	—
195	C₄×C₁₉	—	2	1	no	—
196	C₄×C₁₉	—	2	1	no	—
197	C₄×C₁₉	—	2	1	no	—
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	4	1	no	—
200	C₄×C₁₉	—	4	1	no	—
201	C₄×C₁₉	—	4	1	no	—
202	C₄×C₁₉	#453	1	1	yes	characteristic
203	C₄×C₁₉	#454	1	1	yes	characteristic
204	C₂×#127	C₂²×C₁₉	1	1	yes	characteristic
205	#529	C₂²×C₁₉	1	1	yes	characteristic
206	#496	—	2	1	no	—
207	#490	—	2	1	no	—
208	#460	—	2	1	no	—
209	#459	—	2	1	no	—
210	#450	C₄×C₁₉	1	2	yes	—
211	#447	C₄×C₁₉	1	2	yes	—
212	#446	—	2	1	no	—
213	#436	—	2	1	no	—
214	#435	—	2	1	no	—
215	#435	—	2	1	no	—
216	#433	—	2	1	no	—
217	#432	C₂²×C₁₉	1	1	yes	characteristic
218	#432	C₂²×C₁₉	1	1	yes	characteristic
219	#432	C₂²×C₁₉	1	1	yes	characteristic
220	#424	—	2	1	no	—
221	#423	C₂²×C₁₉	1	1	yes	characteristic
222	C₂×#100	—	2	1	no	—
223	C₂×#100	—	2	1	no	—
224	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
225	#331	—	2	1	no	—
226	#331	—	2	1	no	—
227	#330	—	2	1	no	—
228	#329	—	2	1	no	—
229	C₂×C₁₉	—	4	1	no	—
230	C₂×C₁₉	—	8	1	no	—
231	C₂×C₁₉	—	16	2	no	—
232	C₂×C₁₉	#1883	1	1	yes	characteristic
233	C₂×C₁₉	#1903	1	1	yes	characteristic
234	C₂×C₁₉	#1914	1	1	yes	characteristic
235	C₂²×D₄	—	2	1	no	—
236	C₂²×D₄	—	2	1	no	—
237	C₂²×D₄	C₂×C₄×C₁₉	1	2	yes	—
238	C₂×SD₁₆	—	2	2	no	—
239	C₂×D₈	—	2	2	no	—
240	C₂×M₁₆	—	2	1	no	—
241	C₂×M₁₆	—	2	1	no	—
242	C₂×M₁₆	D₄×C₁₉	1	1	yes	characteristic
243	C₂×M₁₆	D₄×C₁₉	1	1	yes	characteristic
244	C₂²×C₈	—	2	1	no	—
245	#127	—	2	1	no	—
246	#127	—	2	1	no	—
247	#127	—	2	1	no	—
248	#127	—	2	1	no	—
249	#126	—	2	1	no	—
250	#125	D₄×C₁₉	1	1	yes	characteristic
251	#124	D₄×C₁₉	1	1	yes	characteristic
252	#123	—	2	1	no	—
253	C₂²⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
254	#121	C₂×C₄×C₁₉	1	1	yes	characteristic
255	C₄×Q₈	D₄×C₁₉	1	1	yes	characteristic
256	C₄×D₄	—	2	1	no	—
257	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
258	#117	—	2	1	no	—
259	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
260	C₄⋊C₈	—	2	1	no	—
261	C₄⋊C₈	—	2	1	no	—
262	C₄⋊C₈	—	2	1	no	—
263	C₄⋊C₈	—	2	1	no	—
264	C₄⋊C₈	—	2	1	no	—
265	C₄⋊C₈	—	2	1	no	—
266	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
267	C₄⋊C₈	D₄×C₁₉	1	1	yes	characteristic
268	#102	—	2	2	no	—
269	#102	—	2	2	no	—
270	#100	—	4	2	no	—
271	#100	—	4	2	no	—
272	C₂²⋊C₈	—	2	1	no	—
273	C₂²⋊C₈	—	2	1	no	—
274	C₂²⋊C₈	—	2	1	no	—
275	C₂²⋊C₈	—	2	1	no	—
276	C₂²⋊C₈	C₂×C₄×C₁₉	1	2	yes	—
277	#97	—	2	1	no	—
278	#97	—	2	1	no	—
279	#97	—	2	1	no	—
280	#97	—	2	1	no	—
281	#97	—	2	1	no	—
282	C₄×C₈	—	2	1	no	—
283	C₄×C₈	—	2	1	no	—
284	C₁₉	#9340	1	1	yes	characteristic, direct product factor, Sylow
285	C₂⁴	—	2	2	no	—
286	C₂×Q₈	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
287	C₂×D₄	—	2	1	no	—
288	C₂×D₄	—	2	2	no	—
289	C₂×D₄	—	2	2	no	—
290	C₂×D₄	—	4	1	no	—
291	C₂×D₄	—	4	1	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	4	1	no	—
294	C₂×D₄	—	4	1	no	—
295	C₂×D₄	—	4	1	no	—
296	C₂×D₄	—	4	1	no	—
297	C₂×D₄	—	4	1	no	—
298	C₂×D₄	—	8	2	no	—
299	C₂×D₄	—	8	2	no	—
300	C₂×D₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
301	C₂²×C₄	—	2	1	no	—
302	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
303	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
304	C₂²×C₄	#41×C₁₉	1	1	yes	characteristic
305	SD₁₆	—	8	2	no	—
306	D₈	—	8	2	no	—
307	M₁₆	—	2	2	no	—
308	M₁₆	—	4	1	no	—
309	M₁₆	—	4	1	no	—
310	M₁₆	—	4	1	no	—
311	M₁₆	—	8	1	no	—
312	C₂×C₈	—	2	2	no	—
313	C₂×C₈	—	2	1	no	—
314	C₂×C₈	—	2	1	no	—
315	C₂×C₈	—	2	1	no	—
316	C₂×C₈	—	2	1	no	—
317	C₂×C₈	—	4	1	no	—
318	C₂×C₈	—	4	1	no	—
319	C₂×C₈	—	8	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	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
325	C₄⋊C₄	C₂²⋊C₄×C₁₉	1	1	yes	characteristic
326	C₂²⋊C₄	—	2	1	no	—
327	C₂²⋊C₄	—	2	1	no	—
328	C₂²⋊C₄	—	2	1	no	—
329	C₂²⋊C₄	—	2	1	no	—
330	C₂²⋊C₄	—	2	1	no	—
331	C₄²	—	2	1	no	—
332	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
333	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
334	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
335	C₄²	#41×C₁₉	1	1	yes	characteristic
336	C₂³	—	2	1	no	—
337	C₂³	—	4	2	no	—
338	C₂³	—	4	2	no	—
339	C₂³	—	4	2	no	—
340	C₂³	—	8	2	no	—
341	C₂³	—	8	2	no	—
342	C₂³	C₄×D₄×C₁₉	1	1	yes	characteristic
343	Q₈	—	4	1	no	—
344	D₄	—	4	1	no	—
345	D₄	—	4	2	no	—
346	D₄	—	4	2	no	—
347	D₄	—	8	2	no	—
348	D₄	—	8	1	no	—
349	D₄	—	8	1	no	—
350	D₄	—	8	2	no	—
351	D₄	—	8	2	no	—
352	D₄	—	8	1	no	—
353	D₄	—	8	1	no	—
354	D₄	—	8	1	no	—
355	C₂×C₄	—	2	1	no	—
356	C₂×C₄	—	2	1	no	—
357	C₂×C₄	—	2	1	no	—
358	C₂×C₄	—	2	1	no	—
359	C₂×C₄	—	2	1	no	—
360	C₂×C₄	—	4	1	no	—
361	C₂×C₄	—	4	1	no	—
362	C₂×C₄	—	4	1	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
365	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
366	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
367	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
368	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
369	C₂×C₄	C₁₉×#123	1	1	yes	characteristic
370	C₈	—	4	2	no	—
371	C₈	—	4	2	no	—
372	C₈	—	4	1	no	—
373	C₈	—	4	1	no	—
374	C₈	—	4	1	no	—
375	C₈	—	4	1	no	—
376	C₈	—	8	1	no	—
377	C₂²	—	2	1	no	—
378	C₂²	—	2	1	no	—
379	C₂²	—	2	1	no	—
380	C₂²	—	4	1	no	—
381	C₂²	—	4	1	no	—
382	C₂²	—	4	1	no	—
383	C₂²	—	8	2	no	—
384	C₂²	—	8	2	no	—
385	C₂²	—	8	2	no	—
386	C₂²	—	16	2	no	—
387	C₂²	—	16	2	no	—
388	C₂²	C₁₉×#386	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	2	1	no	—
394	C₄	—	4	1	no	—
395	C₄	—	4	1	no	—
396	C₄	—	4	1	no	—
397	C₄	C₁₉×#453	1	1	yes	characteristic
398	C₄	C₁₉×#454	1	1	yes	characteristic
399	C₂	—	4	1	no	—
400	C₂	—	8	1	no	—
401	C₂	—	16	2	no	—
402	C₂	C₁₉×#1883	1	1	yes	characteristic
403	C₂	C₁₉×#1903	1	1	yes	characteristic
404	C₂	C₁₉×#1914	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#386
commutator	C₂²×C₄	C₂²×C₄×C₁₉
Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₁₉×#3217	C₂
LCS	G ▷ C₂²×C₄ ▷ 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×#2995	C₂	semidirect
3. C₁₉×#1965	C₂	semidirect
4. C₁₉×#1555	C₂	semidirect
5. C₁₉×#1529	C₂	semidirect
6. C₁₉×#1307	C₂	semidirect
7. C₁₉×#1291	C₂	semidirect
133. #9340	C₁₉	direct (N × H)
176. #2995	C₂×C₁₉	semidirect
177. #1965	C₂×C₁₉	semidirect
178. #1555	C₂×C₁₉	semidirect
179. #1529	C₂×C₁₉	semidirect
180. #1307	C₂×C₁₉	semidirect
181. #1291	C₂×C₁₉	semidirect
284. C₁₉	#9340	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×#3217	2
C₁₉×#2995	2
C₁₉×#1965	2
C₁₉×#1555	2
C₁₉×#1529	2
C₁₉×#1307	2
C₁₉×#1291	2
#9340	19

Subgroups — C19×#9340 #18015299

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#9340 #18015299