Subgroups — C₁₉×#33617 #18039576

Order 4864.

642 conjugacy classes of subgroups.

The subgroup lattice has 368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₉×#504	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3067	C₂	1	2	yes	maximal, complemented
4	C₁₉×#2223	C₂	1	4	yes	maximal, complemented
5	C₁₉×#2222	C₂	1	2	yes	maximal, complemented
6	C₁₉×#2221	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₉×#368	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#2148	C₂	1	2	yes	maximal, complemented
9	C₁₉×#575	—	2	2	no	—
10	C₂×C₁₉×#135	C₂²	1	2	yes	—
11	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic
12	C₁₉×#508	—	2	1	no	—
13	C₁₉×#508	—	2	1	no	—
14	C₁₉×#508	—	2	1	no	—
15	C₁₉×#508	—	2	1	no	—
16	C₂×C₁₉×Q₃₂	C₂²	1	1	yes	characteristic, complemented
17	C₂×C₁₉×SD₃₂	C₂²	1	2	yes	complemented
18	C₂×C₁₉×D₁₆	C₂²	1	1	yes	characteristic, complemented
19	C₁₉×#504	—	2	1	no	—
20	C₁₉×#504	—	2	1	no	—
21	C₁₉×#504	C₂²	1	2	yes	—
22	C₁₉×#504	C₂²	1	2	yes	—
23	C₂×C₁₉×M₃₂	—	2	1	no	—
24	C₂×C₁₉×M₃₂	C₂²	1	1	yes	characteristic
25	C₂²×C₁₆×C₁₉	—	2	1	no	—
26	C₂²×C₁₆×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#473	C₂²	1	4	yes	—
28	C₁₉×#472	C₂²	1	4	yes	—
29	C₁₉×#471	—	2	4	no	—
30	C₂×C₁₉×#108	C₂²	1	2	yes	—
31	C₁₉×#413	—	2	2	no	—
32	C₁₉×#368	C₂²	1	2	yes	complemented
33	C₁₉×#368	C₂²	1	2	yes	complemented
34	C₁₉×#362	C₂²	1	4	yes	complemented
35	C₁₉×#361	C₂²	1	4	yes	complemented
36	C₂×#41×C₁₉	—	2	2	no	—
37	C₂×#41×C₁₉	D₄	1	1	yes	characteristic
38	C₁₉×#137	—	2	4	no	—
39	C₁₉×#137	—	4	2	no	—
40	C₁₉×AGL(1,ℤ/8)	—	2	4	no	—
41	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
42	C₁₉×#135	—	2	2	no	—
43	C₁₉×#135	—	2	2	no	—
44	C₁₉×#135	—	2	2	no	—
45	C₁₉×#135	—	2	2	no	—
46	C₁₉×#135	—	4	4	no	—
47	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
48	C₂×SD₁₆×C₁₉	—	2	2	no	—
49	C₂×D₈×C₁₉	C₂³	1	2	yes	—
50	C₁₉×#131	—	2	1	no	—
51	C₁₉×#131	—	2	1	no	—
52	C₁₉×#131	D₄	1	2	yes	—
53	C₁₉×#131	C₂³	1	2	yes	—
54	C₂×M₁₆×C₁₉	—	2	1	no	—
55	C₂×M₁₆×C₁₉	—	2	2	no	—
56	C₂×M₁₆×C₁₉	D₄	1	1	yes	characteristic
57	C₂²×C₈×C₁₉	—	2	1	no	—
58	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
59	C₁₉×Q₃₂	—	2	1	no	—
60	C₁₉×Q₃₂	—	2	1	no	—
61	C₁₉×SD₃₂	—	2	2	no	—
62	C₁₉×SD₃₂	—	2	2	no	—
63	C₁₉×D₁₆	—	2	1	no	—
64	C₁₉×D₁₆	—	2	1	no	—
65	C₁₉×M₃₂	—	2	1	no	—
66	C₁₉×M₃₂	—	2	2	no	—
67	C₁₉×M₃₂	—	2	2	no	—
68	C₁₉×M₃₂	C₂³	1	2	yes	—
69	C₂×C₁₆×C₁₉	—	2	1	no	—
70	C₂×C₁₆×C₁₉	—	2	2	no	—
71	C₂×C₁₆×C₁₉	—	2	2	no	—
72	C₂×C₁₆×C₁₉	D₄	1	1	yes	characteristic
73	C₂×C₁₆×C₁₉	D₄	1	1	yes	characteristic
74	C₂×C₁₆×C₁₉	D₄	1	1	yes	characteristic
75	C₂×C₁₆×C₁₉	D₄	1	1	yes	characteristic
76	C₂×C₁₆×C₁₉	C₂³	1	1	yes	characteristic
77	C₂×C₁₆×C₁₉	C₂³	1	1	yes	characteristic
78	C₁₉×#108	—	2	2	no	—
79	C₁₉×#108	C₂³	1	4	yes	—
80	C₁₉×#101	—	2	4	no	—
81	C₁₉×#100	—	2	4	no	—
82	#41×C₁₉	—	2	1	no	—
83	#41×C₁₉	—	2	1	no	—
84	#41×C₁₉	—	4	2	no	—
85	#41×C₁₉	—	4	2	no	—
86	#41×C₁₉	—	4	2	no	—
87	#41×C₁₉	—	4	2	no	—
88	#41×C₁₉	D₈	1	2	yes	—
89	#41×C₁₉	C₂×D₄	1	2	yes	—
90	C₂×Q₈×C₁₉	—	2	2	no	—
91	C₂×Q₈×C₁₉	D₈	1	1	yes	characteristic
92	C₂×D₄×C₁₉	—	2	1	no	—
93	C₂×D₄×C₁₉	—	2	2	no	—
94	C₂×D₄×C₁₉	—	4	2	no	—
95	C₂×D₄×C₁₉	D₈	1	1	yes	characteristic
96	C₂²×C₄×C₁₉	—	2	1	no	—
97	C₂²×C₄×C₁₉	—	4	2	no	—
98	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
99	Q₁₆×C₁₉	—	2	2	no	—
100	Q₁₆×C₁₉	—	2	2	no	—
101	Q₁₆×C₁₉	—	4	4	no	—
102	SD₁₆×C₁₉	—	4	4	no	—
103	SD₁₆×C₁₉	—	4	4	no	—
104	SD₁₆×C₁₉	—	4	2	no	—
105	SD₁₆×C₁₉	—	4	2	no	—
106	D₈×C₁₉	—	2	2	no	—
107	D₈×C₁₉	—	2	2	no	—
108	D₈×C₁₉	—	4	4	no	—
109	M₁₆×C₁₉	—	2	1	no	—
110	M₁₆×C₁₉	—	2	2	no	—
111	M₁₆×C₁₉	—	2	2	no	—
112	M₁₆×C₁₉	—	2	4	no	—
113	M₁₆×C₁₉	—	4	2	no	—
114	M₁₆×C₁₉	C₂×D₄	1	2	yes	—
115	C₂×C₈×C₁₉	—	2	1	no	—
116	C₂×C₈×C₁₉	—	2	2	no	—
117	C₂×C₈×C₁₉	—	2	2	no	—
118	C₂×C₈×C₁₉	—	4	2	no	—
119	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
122	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
123	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
124	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
125	C₁₆×C₁₉	—	2	2	no	—
126	C₁₆×C₁₉	C₂×D₄	1	1	yes	characteristic
127	C₁₆×C₁₉	C₂×D₄	1	1	yes	characteristic
128	C₁₆×C₁₉	C₂×D₄	1	1	yes	characteristic
129	C₁₆×C₁₉	C₂×D₄	1	1	yes	characteristic
130	#33617	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
131	C₂³×C₁₉	—	2	1	no	—
132	C₂³×C₁₉	—	4	2	no	—
133	C₂³×C₁₉	#135	1	1	yes	characteristic
134	Q₈×C₁₉	—	2	1	no	—
135	Q₈×C₁₉	—	4	2	no	—
136	Q₈×C₁₉	—	4	2	no	—
137	Q₈×C₁₉	C₂×D₈	1	2	yes	—
138	D₄×C₁₉	—	2	2	no	—
139	D₄×C₁₉	—	2	2	no	—
140	D₄×C₁₉	—	2	1	no	—
141	D₄×C₁₉	—	4	2	no	—
142	D₄×C₁₉	—	4	2	no	—
143	D₄×C₁₉	—	8	2	no	—
144	D₄×C₁₉	—	8	2	no	—
145	D₄×C₁₉	C₂×D₈	1	2	yes	—
146	C₂×C₄×C₁₉	—	2	1	no	—
147	C₂×C₄×C₁₉	—	2	2	no	—
148	C₂×C₄×C₁₉	—	2	2	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	8	2	no	—
151	C₂×C₄×C₁₉	—	8	2	no	—
152	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
153	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
154	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
155	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
156	C₂×C₄×C₁₉	#135	1	1	yes	characteristic
157	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
158	C₈×C₁₉	—	2	2	no	—
159	C₈×C₁₉	—	4	4	no	—
160	C₈×C₁₉	#121	1	1	yes	characteristic
161	C₈×C₁₉	#121	1	1	yes	characteristic
162	C₈×C₁₉	C₂²×D₄	1	1	yes	characteristic
163	C₈×C₁₉	C₂×#41	1	1	yes	characteristic
164	C₂×#508	C₂×C₁₉	1	1	yes	characteristic, complemented
165	C₂×#504	C₂×C₁₉	1	1	yes	characteristic, complemented
166	#3067	C₂×C₁₉	1	2	yes	complemented
167	#2223	C₂×C₁₉	1	4	yes	complemented
168	#2222	C₂×C₁₉	1	2	yes	complemented
169	#2221	C₂×C₁₉	1	2	yes	complemented
170	C₂×#368	C₂×C₁₉	1	1	yes	characteristic, complemented
171	#2148	C₂×C₁₉	1	2	yes	complemented
172	C₂²×C₁₉	—	2	2	no	—
173	C₂²×C₁₉	—	4	1	no	—
174	C₂²×C₁₉	—	4	2	no	—
175	C₂²×C₁₉	—	8	2	no	—
176	C₂²×C₁₉	—	16	2	no	—
177	C₂²×C₁₉	#466	1	1	yes	characteristic
178	C₂²×C₁₉	#466	1	1	yes	characteristic
179	C₂²×C₁₉	C₂×#135	1	1	yes	characteristic
180	C₄×C₁₉	—	2	2	no	—
181	C₄×C₁₉	—	8	2	no	—
182	C₄×C₁₉	#466	1	1	yes	characteristic
183	C₄×C₁₉	#466	1	1	yes	characteristic
184	C₄×C₁₉	C₂×#121	1	1	yes	characteristic
185	C₄×C₁₉	C₂²×D₈	1	1	yes	characteristic
186	#575	—	2	2	no	—
187	C₂×#135	C₂²×C₁₉	1	2	yes	—
188	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic
189	#508	—	2	1	no	—
190	#508	—	2	1	no	—
191	#508	—	2	1	no	—
192	#508	—	2	1	no	—
193	C₂×Q₃₂	C₂²×C₁₉	1	1	yes	characteristic, complemented
194	C₂×SD₃₂	C₂²×C₁₉	1	2	yes	complemented
195	C₂×D₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
196	#504	—	2	1	no	—
197	#504	—	2	1	no	—
198	#504	C₂²×C₁₉	1	2	yes	—
199	#504	C₂²×C₁₉	1	2	yes	—
200	C₂×M₃₂	—	2	1	no	—
201	C₂×M₃₂	C₂²×C₁₉	1	1	yes	characteristic
202	C₂²×C₁₆	—	2	1	no	—
203	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
204	#473	C₂²×C₁₉	1	4	yes	—
205	#472	C₂²×C₁₉	1	4	yes	—
206	#471	—	2	4	no	—
207	C₂×#108	C₂²×C₁₉	1	2	yes	—
208	#413	—	2	2	no	—
209	#368	C₂²×C₁₉	1	2	yes	complemented
210	#368	C₂²×C₁₉	1	2	yes	complemented
211	#362	C₂²×C₁₉	1	4	yes	complemented
212	#361	C₂²×C₁₉	1	4	yes	complemented
213	C₂×C₁₉	—	2	1	no	—
214	C₂×C₁₉	—	2	1	no	—
215	C₂×C₁₉	—	2	1	no	—
216	C₂×C₁₉	—	4	2	no	—
217	C₂×C₁₉	—	16	2	no	—
218	C₂×C₁₉	C₂×#466	1	1	yes	characteristic
219	C₂×#41	—	2	2	no	—
220	C₂×#41	D₄×C₁₉	1	1	yes	characteristic
221	#137	—	2	4	no	—
222	#137	—	4	2	no	—
223	AGL(1,ℤ/8)	—	2	4	no	—
224	AGL(1,ℤ/8)	—	4	2	no	—
225	#135	—	2	2	no	—
226	#135	—	2	2	no	—
227	#135	—	2	2	no	—
228	#135	—	2	2	no	—
229	#135	—	4	4	no	—
230	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
231	C₂×SD₁₆	—	2	2	no	—
232	C₂×D₈	C₂³×C₁₉	1	2	yes	—
233	#131	—	2	1	no	—
234	#131	—	2	1	no	—
235	#131	D₄×C₁₉	1	2	yes	—
236	#131	C₂³×C₁₉	1	2	yes	—
237	C₂×M₁₆	—	2	1	no	—
238	C₂×M₁₆	—	2	2	no	—
239	C₂×M₁₆	D₄×C₁₉	1	1	yes	characteristic
240	C₂²×C₈	—	2	1	no	—
241	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
242	Q₃₂	—	2	1	no	—
243	Q₃₂	—	2	1	no	—
244	SD₃₂	—	2	2	no	—
245	SD₃₂	—	2	2	no	—
246	D₁₆	—	2	1	no	—
247	D₁₆	—	2	1	no	—
248	M₃₂	—	2	1	no	—
249	M₃₂	—	2	2	no	—
250	M₃₂	—	2	2	no	—
251	M₃₂	C₂³×C₁₉	1	2	yes	—
252	C₂×C₁₆	—	2	1	no	—
253	C₂×C₁₆	—	2	2	no	—
254	C₂×C₁₆	—	2	2	no	—
255	C₂×C₁₆	D₄×C₁₉	1	1	yes	characteristic
256	C₂×C₁₆	D₄×C₁₉	1	1	yes	characteristic
257	C₂×C₁₆	D₄×C₁₉	1	1	yes	characteristic
258	C₂×C₁₆	D₄×C₁₉	1	1	yes	characteristic
259	C₂×C₁₆	C₂³×C₁₉	1	1	yes	characteristic
260	C₂×C₁₆	C₂³×C₁₉	1	1	yes	characteristic
261	#108	—	2	2	no	—
262	#108	C₂³×C₁₉	1	4	yes	—
263	#101	—	2	4	no	—
264	#100	—	2	4	no	—
265	C₁₉	#33617	1	1	yes	characteristic, direct product factor, Sylow
266	#41	—	2	1	no	—
267	#41	—	2	1	no	—
268	#41	—	4	2	no	—
269	#41	—	4	2	no	—
270	#41	—	4	2	no	—
271	#41	—	4	2	no	—
272	#41	D₈×C₁₉	1	2	yes	—
273	#41	C₂×D₄×C₁₉	1	2	yes	—
274	C₂×Q₈	—	2	2	no	—
275	C₂×Q₈	D₈×C₁₉	1	1	yes	characteristic
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	2	2	no	—
278	C₂×D₄	—	4	2	no	—
279	C₂×D₄	D₈×C₁₉	1	1	yes	characteristic
280	C₂²×C₄	—	2	1	no	—
281	C₂²×C₄	—	4	2	no	—
282	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
283	Q₁₆	—	2	2	no	—
284	Q₁₆	—	2	2	no	—
285	Q₁₆	—	4	4	no	—
286	SD₁₆	—	4	4	no	—
287	SD₁₆	—	4	4	no	—
288	SD₁₆	—	4	2	no	—
289	SD₁₆	—	4	2	no	—
290	D₈	—	2	2	no	—
291	D₈	—	2	2	no	—
292	D₈	—	4	4	no	—
293	M₁₆	—	2	1	no	—
294	M₁₆	—	2	2	no	—
295	M₁₆	—	2	2	no	—
296	M₁₆	—	2	4	no	—
297	M₁₆	—	4	2	no	—
298	M₁₆	C₂×D₄×C₁₉	1	2	yes	—
299	C₂×C₈	—	2	1	no	—
300	C₂×C₈	—	2	2	no	—
301	C₂×C₈	—	2	2	no	—
302	C₂×C₈	—	4	2	no	—
303	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
304	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
305	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
306	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
307	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
308	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
309	C₁₆	—	2	2	no	—
310	C₁₆	C₂×D₄×C₁₉	1	1	yes	characteristic
311	C₁₆	C₂×D₄×C₁₉	1	1	yes	characteristic
312	C₁₆	C₂×D₄×C₁₉	1	1	yes	characteristic
313	C₁₆	C₂×D₄×C₁₉	1	1	yes	characteristic
314	C₂³	—	2	1	no	—
315	C₂³	—	4	2	no	—
316	C₂³	C₁₉×#135	1	1	yes	characteristic
317	Q₈	—	2	1	no	—
318	Q₈	—	4	2	no	—
319	Q₈	—	4	2	no	—
320	Q₈	C₂×D₈×C₁₉	1	2	yes	—
321	D₄	—	2	2	no	—
322	D₄	—	2	2	no	—
323	D₄	—	2	1	no	—
324	D₄	—	4	2	no	—
325	D₄	—	4	2	no	—
326	D₄	—	8	2	no	—
327	D₄	—	8	2	no	—
328	D₄	C₂×D₈×C₁₉	1	2	yes	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	8	2	no	—
334	C₂×C₄	—	8	2	no	—
335	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
336	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
337	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
338	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
339	C₂×C₄	C₁₉×#135	1	1	yes	characteristic
340	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
341	C₈	—	2	2	no	—
342	C₈	—	4	4	no	—
343	C₈	C₁₉×#121	1	1	yes	characteristic
344	C₈	C₁₉×#121	1	1	yes	characteristic
345	C₈	C₂²×D₄×C₁₉	1	1	yes	characteristic
346	C₈	C₂×#41×C₁₉	1	1	yes	characteristic
347	C₂²	—	2	2	no	—
348	C₂²	—	4	1	no	—
349	C₂²	—	4	2	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	16	2	no	—
352	C₂²	C₁₉×#466	1	1	yes	characteristic
353	C₂²	C₁₉×#466	1	1	yes	characteristic
354	C₂²	C₂×C₁₉×#135	1	1	yes	characteristic
355	C₄	—	2	2	no	—
356	C₄	—	8	2	no	—
357	C₄	C₁₉×#466	1	1	yes	characteristic
358	C₄	C₁₉×#466	1	1	yes	characteristic
359	C₄	C₂×C₁₉×#121	1	1	yes	characteristic
360	C₄	C₂²×D₈×C₁₉	1	1	yes	characteristic
361	C₂	—	2	1	no	—
362	C₂	—	2	1	no	—
363	C₂	—	2	1	no	—
364	C₂	—	4	2	no	—
365	C₂	—	16	2	no	—
366	C₂	C₂×C₁₉×#466	1	1	yes	characteristic

	subgroup	G/H
center	C₄×C₁₉	#466
commutator, Frattini, cosocle	C₂×C₈	C₂⁴×C₁₉
socle	C₂×C₁₉	C₂×#466
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₄×C₁₉ ◁ C₂²×C₄×C₁₉ ◁ C₂×C₁₉×#131 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₉×#508	C₂	semidirect
2. C₂×C₁₉×#504	C₂	semidirect
3. C₁₉×#3067	C₂	semidirect
4. C₁₉×#2223	C₂	semidirect
5. C₁₉×#2222	C₂	semidirect
6. C₁₉×#2221	C₂	semidirect
7. C₂×C₁₉×#368	C₂	semidirect
8. C₁₉×#2148	C₂	semidirect
16. C₂×C₁₉×Q₃₂	C₂²	semidirect
17. C₂×C₁₉×SD₃₂	C₂²	semidirect
18. C₂×C₁₉×D₁₆	C₂²	semidirect
32. C₁₉×#368	C₂²	semidirect
33. C₁₉×#368	C₂²	semidirect
34. C₁₉×#362	C₂²	semidirect
35. C₁₉×#361	C₂²	semidirect
130. #33617	C₁₉	direct (N × H)
164. C₂×#508	C₂×C₁₉	semidirect
165. C₂×#504	C₂×C₁₉	semidirect
166. #3067	C₂×C₁₉	semidirect
167. #2223	C₂×C₁₉	semidirect
168. #2222	C₂×C₁₉	semidirect
169. #2221	C₂×C₁₉	semidirect
170. C₂×#368	C₂×C₁₉	semidirect
171. #2148	C₂×C₁₉	semidirect
193. C₂×Q₃₂	C₂²×C₁₉	semidirect
194. C₂×SD₃₂	C₂²×C₁₉	semidirect
195. C₂×D₁₆	C₂²×C₁₉	semidirect
209. #368	C₂²×C₁₉	semidirect
210. #368	C₂²×C₁₉	semidirect
211. #362	C₂²×C₁₉	semidirect
212. #361	C₂²×C₁₉	semidirect
265. C₁₉	#33617	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#508	2
C₂×C₁₉×#504	2
C₁₉×#3067	2
C₁₉×#2223	2
C₁₉×#2222	2
C₁₉×#2221	2
C₂×C₁₉×#368	2
C₁₉×#2148	2
#33617	19

Subgroups — C19×#33617 #18039576

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#33617 #18039576