Subgroups — C₁₉×#13011 #18018970

Order 4864.

476 conjugacy classes of subgroups.

The subgroup lattice has 384 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
2	C₂×C₁₉×#443	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₉×#359	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#359	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1974	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1381	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1374	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
9	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
10	C₂×C₁₉×#131	—	2	1	no	—
11	C₁₉×#508	—	2	2	no	—
12	C₁₉×#508	—	2	2	no	—
13	C₂×C₁₉×Q₃₂	C₄	1	1	yes	characteristic, complemented
14	C₂×C₁₉×SD₃₂	C₄	1	1	yes	characteristic, complemented
15	C₂×C₁₉×SD₃₂	C₄	1	1	yes	characteristic, complemented
16	C₂×C₁₉×D₁₆	C₄	1	1	yes	characteristic, complemented
17	C₂²×C₁₆×C₁₉	C₂²	1	1	yes	characteristic
18	C₂²×C₁₆×C₁₉	C₂²	1	1	yes	characteristic
19	C₁₉×#443	—	2	2	no	—
20	C₁₉×#443	—	2	2	no	—
21	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
22	C₂×C₁₉×#108	C₂²	1	1	yes	characteristic
23	C₂×C₁₉×#104	—	2	1	no	—
24	C₂×C₁₉×#104	—	2	1	no	—
25	C₁₉×#408	—	2	1	no	—
26	C₂×C₄×C₈×C₁₉	C₂²	1	1	yes	characteristic
27	C₁₉×#359	—	2	2	no	—
28	C₁₉×#359	—	2	2	no	—
29	C₂×#41×C₁₉	—	2	1	no	—
30	C₂×#41×C₁₉	—	2	1	no	—
31	C₁₉×#135	—	2	1	no	—
32	C₁₉×#135	—	2	1	no	—
33	C₁₉×#135	—	2	1	no	—
34	C₁₉×#135	—	2	1	no	—
35	C₁₉×#135	—	2	1	no	—
36	C₁₉×#135	—	2	1	no	—
37	C₁₉×#135	D₄	1	2	yes	—
38	C₁₉×#135	D₄	1	2	yes	—
39	C₂×Q₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
40	C₂×Q₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
41	C₂×SD₁₆×C₁₉	—	2	1	no	—
42	C₂×SD₁₆×C₁₉	—	2	1	no	—
43	C₂×D₈×C₁₉	C₂×C₄	1	1	yes	characteristic
44	C₂×D₈×C₁₉	C₂×C₄	1	1	yes	characteristic
45	C₁₉×#131	—	2	4	no	—
46	C₁₉×#131	—	4	2	no	—
47	C₂×M₁₆×C₁₉	—	2	1	no	—
48	C₂×M₁₆×C₁₉	—	2	1	no	—
49	C₂×M₁₆×C₁₉	—	4	1	no	—
50	C₂²×C₈×C₁₉	—	4	1	no	—
51	C₂²×C₈×C₁₉	D₄	1	1	yes	characteristic
52	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
53	C₂×C₄²×C₁₉	D₄	1	1	yes	characteristic
54	C₁₉×Q₃₂	—	2	2	no	—
55	C₁₉×SD₃₂	—	2	2	no	—
56	C₁₉×SD₃₂	—	2	2	no	—
57	C₁₉×D₁₆	—	2	2	no	—
58	C₂×C₁₆×C₁₉	—	2	1	no	—
59	C₂×C₁₆×C₁₉	—	2	1	no	—
60	C₂×C₁₆×C₁₉	—	2	1	no	—
61	C₂×C₁₆×C₁₉	—	2	1	no	—
62	C₂×C₁₆×C₁₉	—	2	1	no	—
63	C₂×C₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
64	C₂×C₁₆×C₁₉	C₂×C₄	1	1	yes	characteristic
65	C₁₉×#108	—	2	1	no	—
66	C₁₉×#108	—	2	1	no	—
67	C₁₉×#108	—	2	1	no	—
68	C₁₉×#108	D₄	1	2	yes	—
69	C₁₉×#104	—	2	4	no	—
70	C₁₉×#104	—	4	2	no	—
71	C₁₉×C₂²⋊C₈	—	4	1	no	—
72	C₁₉×C₂²⋊C₈	—	4	1	no	—
73	C₄×C₈×C₁₉	—	2	1	no	—
74	C₄×C₈×C₁₉	—	2	1	no	—
75	#41×C₁₉	—	2	2	no	—
76	#41×C₁₉	—	2	2	no	—
77	#41×C₁₉	—	4	1	no	—
78	#41×C₁₉	—	4	1	no	—
79	#41×C₁₉	—	4	1	no	—
80	#41×C₁₉	—	4	1	no	—
81	#41×C₁₉	—	4	1	no	—
82	#41×C₁₉	—	4	1	no	—
83	C₂×Q₈×C₁₉	—	2	1	no	—
84	C₂×Q₈×C₁₉	—	2	1	no	—
85	C₂×D₄×C₁₉	—	2	1	no	—
86	C₂×D₄×C₁₉	—	2	1	no	—
87	C₂×D₄×C₁₉	—	4	1	no	—
88	C₂×D₄×C₁₉	—	4	1	no	—
89	C₂²×C₄×C₁₉	—	2	1	no	—
90	C₂²×C₄×C₁₉	—	4	1	no	—
91	C₂²×C₄×C₁₉	—	4	1	no	—
92	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
93	Q₁₆×C₁₉	—	2	1	no	—
94	Q₁₆×C₁₉	—	2	1	no	—
95	Q₁₆×C₁₉	—	2	1	no	—
96	Q₁₆×C₁₉	C₂²⋊C₄	1	2	yes	—
97	SD₁₆×C₁₉	—	2	2	no	—
98	SD₁₆×C₁₉	—	2	2	no	—
99	SD₁₆×C₁₉	—	4	1	no	—
100	SD₁₆×C₁₉	—	4	1	no	—
101	D₈×C₁₉	—	2	1	no	—
102	D₈×C₁₉	—	2	1	no	—
103	D₈×C₁₉	—	2	1	no	—
104	D₈×C₁₉	C₂²⋊C₄	1	2	yes	—
105	M₁₆×C₁₉	—	2	2	no	—
106	M₁₆×C₁₉	—	4	4	no	—
107	M₁₆×C₁₉	—	4	1	no	—
108	M₁₆×C₁₉	—	4	1	no	—
109	M₁₆×C₁₉	—	4	1	no	—
110	C₂×C₈×C₁₉	—	2	1	no	—
111	C₂×C₈×C₁₉	—	2	1	no	—
112	C₂×C₈×C₁₉	—	4	4	no	—
113	C₂×C₈×C₁₉	—	4	1	no	—
114	C₂×C₈×C₁₉	—	4	1	no	—
115	C₂×C₈×C₁₉	D₈	1	1	yes	characteristic
116	C₂×C₈×C₁₉	D₈	1	1	yes	characteristic
117	C₂×C₈×C₁₉	C₂²×C₄	1	1	yes	characteristic
118	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₁₉	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
122	C₂×C₈×C₁₉	#41	1	1	yes	characteristic
123	C₄²×C₁₉	—	2	1	no	—
124	C₄²×C₁₉	—	2	1	no	—
125	C₁₆×C₁₉	—	2	1	no	—
126	C₁₆×C₁₉	—	2	1	no	—
127	C₁₆×C₁₉	—	4	1	no	—
128	#13011	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
129	C₂³×C₁₉	—	4	1	no	—
130	C₂³×C₁₉	—	4	1	no	—
131	C₂³×C₁₉	#135	1	1	yes	characteristic
132	Q₈×C₁₉	—	2	2	no	—
133	Q₈×C₁₉	—	4	1	no	—
134	Q₈×C₁₉	—	4	1	no	—
135	Q₈×C₁₉	—	4	1	no	—
136	D₄×C₁₉	—	2	2	no	—
137	D₄×C₁₉	—	4	2	no	—
138	D₄×C₁₉	—	4	2	no	—
139	D₄×C₁₉	—	4	1	no	—
140	D₄×C₁₉	—	4	1	no	—
141	D₄×C₁₉	—	4	1	no	—
142	D₄×C₁₉	—	8	1	no	—
143	D₄×C₁₉	—	8	1	no	—
144	C₂×C₄×C₁₉	—	2	2	no	—
145	C₂×C₄×C₁₉	—	4	1	no	—
146	C₂×C₄×C₁₉	—	4	1	no	—
147	C₂×C₄×C₁₉	—	4	1	no	—
148	C₂×C₄×C₁₉	—	4	2	no	—
149	C₂×C₄×C₁₉	—	4	2	no	—
150	C₂×C₄×C₁₉	—	4	1	no	—
151	C₂×C₄×C₁₉	—	8	1	no	—
152	C₂×C₄×C₁₉	—	8	1	no	—
153	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
155	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
156	C₂×C₄×C₁₉	C₂×D₈	1	1	yes	characteristic
157	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
158	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
159	C₈×C₁₉	—	2	1	no	—
160	C₈×C₁₉	—	2	1	no	—
161	C₈×C₁₉	—	4	2	no	—
162	C₈×C₁₉	—	8	1	no	—
163	C₈×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
164	C₈×C₁₉	C₄×D₄	1	1	yes	characteristic
165	C₈×C₁₉	#121	1	1	yes	characteristic
166	C₈×C₁₉	#123	1	1	yes	characteristic
167	C₂×#508	C₂×C₁₉	1	1	yes	characteristic
168	C₂×#443	C₂×C₁₉	1	1	yes	characteristic, complemented
169	C₂×#359	C₂×C₁₉	1	1	yes	characteristic, complemented
170	C₂×#359	C₂×C₁₉	1	1	yes	characteristic, complemented
171	#1974	C₂×C₁₉	1	1	yes	characteristic, complemented
172	#1381	C₂×C₁₉	1	1	yes	characteristic, complemented
173	#1374	C₂×C₁₉	1	1	yes	characteristic, complemented
174	C₂²×C₁₉	—	2	1	no	—
175	C₂²×C₁₉	—	2	1	no	—
176	C₂²×C₁₉	—	4	2	no	—
177	C₂²×C₁₉	—	8	1	no	—
178	C₂²×C₁₉	—	8	1	no	—
179	C₂²×C₁₉	—	8	1	no	—
180	C₂²×C₁₉	—	8	1	no	—
181	C₂²×C₁₉	—	8	1	no	—
182	C₂²×C₁₉	C₄×D₈	1	1	yes	characteristic
183	C₂²×C₁₉	#449	1	1	yes	characteristic
184	C₂²×C₁₉	#463	1	1	yes	characteristic
185	C₄×C₁₉	—	4	2	no	—
186	C₄×C₁₉	—	4	2	no	—
187	C₄×C₁₉	—	8	1	no	—
188	C₄×C₁₉	#386	1	1	yes	characteristic
189	C₄×C₁₉	#442	1	1	yes	characteristic
190	C₄×C₁₉	#447	1	1	yes	characteristic
191	C₄×C₁₉	#459	1	1	yes	characteristic
192	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
193	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
194	C₂×#131	—	2	1	no	—
195	#508	—	2	2	no	—
196	#508	—	2	2	no	—
197	C₂×Q₃₂	C₄×C₁₉	1	1	yes	characteristic, complemented
198	C₂×SD₃₂	C₄×C₁₉	1	1	yes	characteristic, complemented
199	C₂×SD₃₂	C₄×C₁₉	1	1	yes	characteristic, complemented
200	C₂×D₁₆	C₄×C₁₉	1	1	yes	characteristic, complemented
201	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
202	C₂²×C₁₆	C₂²×C₁₉	1	1	yes	characteristic
203	#443	—	2	2	no	—
204	#443	—	2	2	no	—
205	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
206	C₂×#108	C₂²×C₁₉	1	1	yes	characteristic
207	C₂×#104	—	2	1	no	—
208	C₂×#104	—	2	1	no	—
209	#408	—	2	1	no	—
210	C₂×C₄×C₈	C₂²×C₁₉	1	1	yes	characteristic
211	#359	—	2	2	no	—
212	#359	—	2	2	no	—
213	C₂×C₁₉	—	2	1	no	—
214	C₂×C₁₉	—	2	1	no	—
215	C₂×C₁₉	—	8	2	no	—
216	C₂×C₁₉	—	16	1	no	—
217	C₂×C₁₉	#1879	1	1	yes	characteristic
218	C₂×C₁₉	#2178	1	1	yes	characteristic
219	C₂×C₁₉	#2179	1	1	yes	characteristic
220	C₂×#41	—	2	1	no	—
221	C₂×#41	—	2	1	no	—
222	#135	—	2	1	no	—
223	#135	—	2	1	no	—
224	#135	—	2	1	no	—
225	#135	—	2	1	no	—
226	#135	—	2	1	no	—
227	#135	—	2	1	no	—
228	#135	D₄×C₁₉	1	2	yes	—
229	#135	D₄×C₁₉	1	2	yes	—
230	C₂×Q₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
231	C₂×Q₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
232	C₂×SD₁₆	—	2	1	no	—
233	C₂×SD₁₆	—	2	1	no	—
234	C₂×D₈	C₂×C₄×C₁₉	1	1	yes	characteristic
235	C₂×D₈	C₂×C₄×C₁₉	1	1	yes	characteristic
236	#131	—	2	4	no	—
237	#131	—	4	2	no	—
238	C₂×M₁₆	—	2	1	no	—
239	C₂×M₁₆	—	2	1	no	—
240	C₂×M₁₆	—	4	1	no	—
241	C₂²×C₈	—	4	1	no	—
242	C₂²×C₈	D₄×C₁₉	1	1	yes	characteristic
243	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
244	C₂×C₄²	D₄×C₁₉	1	1	yes	characteristic
245	Q₃₂	—	2	2	no	—
246	SD₃₂	—	2	2	no	—
247	SD₃₂	—	2	2	no	—
248	D₁₆	—	2	2	no	—
249	C₂×C₁₆	—	2	1	no	—
250	C₂×C₁₆	—	2	1	no	—
251	C₂×C₁₆	—	2	1	no	—
252	C₂×C₁₆	—	2	1	no	—
253	C₂×C₁₆	—	2	1	no	—
254	C₂×C₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
255	C₂×C₁₆	C₂×C₄×C₁₉	1	1	yes	characteristic
256	#108	—	2	1	no	—
257	#108	—	2	1	no	—
258	#108	—	2	1	no	—
259	#108	D₄×C₁₉	1	2	yes	—
260	#104	—	2	4	no	—
261	#104	—	4	2	no	—
262	C₂²⋊C₈	—	4	1	no	—
263	C₂²⋊C₈	—	4	1	no	—
264	C₄×C₈	—	2	1	no	—
265	C₄×C₈	—	2	1	no	—
266	C₁₉	#13011	1	1	yes	characteristic, direct product factor, Sylow
267	#41	—	2	2	no	—
268	#41	—	2	2	no	—
269	#41	—	4	1	no	—
270	#41	—	4	1	no	—
271	#41	—	4	1	no	—
272	#41	—	4	1	no	—
273	#41	—	4	1	no	—
274	#41	—	4	1	no	—
275	C₂×Q₈	—	2	1	no	—
276	C₂×Q₈	—	2	1	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	4	1	no	—
280	C₂×D₄	—	4	1	no	—
281	C₂²×C₄	—	2	1	no	—
282	C₂²×C₄	—	4	1	no	—
283	C₂²×C₄	—	4	1	no	—
284	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
285	Q₁₆	—	2	1	no	—
286	Q₁₆	—	2	1	no	—
287	Q₁₆	—	2	1	no	—
288	Q₁₆	C₂²⋊C₄×C₁₉	1	2	yes	—
289	SD₁₆	—	2	2	no	—
290	SD₁₆	—	2	2	no	—
291	SD₁₆	—	4	1	no	—
292	SD₁₆	—	4	1	no	—
293	D₈	—	2	1	no	—
294	D₈	—	2	1	no	—
295	D₈	—	2	1	no	—
296	D₈	C₂²⋊C₄×C₁₉	1	2	yes	—
297	M₁₆	—	2	2	no	—
298	M₁₆	—	4	4	no	—
299	M₁₆	—	4	1	no	—
300	M₁₆	—	4	1	no	—
301	M₁₆	—	4	1	no	—
302	C₂×C₈	—	2	1	no	—
303	C₂×C₈	—	2	1	no	—
304	C₂×C₈	—	4	4	no	—
305	C₂×C₈	—	4	1	no	—
306	C₂×C₈	—	4	1	no	—
307	C₂×C₈	D₈×C₁₉	1	1	yes	characteristic
308	C₂×C₈	D₈×C₁₉	1	1	yes	characteristic
309	C₂×C₈	C₂²×C₄×C₁₉	1	1	yes	characteristic
310	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
311	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
312	C₂×C₈	C₂×D₄×C₁₉	1	1	yes	characteristic
313	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
314	C₂×C₈	#41×C₁₉	1	1	yes	characteristic
315	C₄²	—	2	1	no	—
316	C₄²	—	2	1	no	—
317	C₁₆	—	2	1	no	—
318	C₁₆	—	2	1	no	—
319	C₁₆	—	4	1	no	—
320	C₂³	—	4	1	no	—
321	C₂³	—	4	1	no	—
322	C₂³	C₁₉×#135	1	1	yes	characteristic
323	Q₈	—	2	2	no	—
324	Q₈	—	4	1	no	—
325	Q₈	—	4	1	no	—
326	Q₈	—	4	1	no	—
327	D₄	—	2	2	no	—
328	D₄	—	4	2	no	—
329	D₄	—	4	2	no	—
330	D₄	—	4	1	no	—
331	D₄	—	4	1	no	—
332	D₄	—	4	1	no	—
333	D₄	—	8	1	no	—
334	D₄	—	8	1	no	—
335	C₂×C₄	—	2	2	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	1	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	8	1	no	—
343	C₂×C₄	—	8	1	no	—
344	C₂×C₄	C₄×D₄×C₁₉	1	1	yes	characteristic
345	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
346	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
347	C₂×C₄	C₂×D₈×C₁₉	1	1	yes	characteristic
348	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
349	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
350	C₈	—	2	1	no	—
351	C₈	—	2	1	no	—
352	C₈	—	4	2	no	—
353	C₈	—	8	1	no	—
354	C₈	C₂×C₂²⋊C₄×C₁₉	1	1	yes	characteristic
355	C₈	C₄×D₄×C₁₉	1	1	yes	characteristic
356	C₈	C₁₉×#121	1	1	yes	characteristic
357	C₈	C₁₉×#123	1	1	yes	characteristic
358	C₂²	—	2	1	no	—
359	C₂²	—	2	1	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	8	1	no	—
362	C₂²	—	8	1	no	—
363	C₂²	—	8	1	no	—
364	C₂²	—	8	1	no	—
365	C₂²	—	8	1	no	—
366	C₂²	C₄×D₈×C₁₉	1	1	yes	characteristic
367	C₂²	C₁₉×#449	1	1	yes	characteristic
368	C₂²	C₁₉×#463	1	1	yes	characteristic
369	C₄	—	4	2	no	—
370	C₄	—	4	2	no	—
371	C₄	—	8	1	no	—
372	C₄	C₁₉×#386	1	1	yes	characteristic
373	C₄	C₁₉×#442	1	1	yes	characteristic
374	C₄	C₁₉×#447	1	1	yes	characteristic
375	C₄	C₁₉×#459	1	1	yes	characteristic
376	C₂	—	2	1	no	—
377	C₂	—	2	1	no	—
378	C₂	—	8	2	no	—
379	C₂	—	16	1	no	—
380	C₂	C₁₉×#1879	1	1	yes	characteristic
381	C₂	C₁₉×#2178	1	1	yes	characteristic
382	C₂	C₁₉×#2179	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₉	C₂×D₈
commutator	C₂×C₈	C₂²×C₄×C₁₉
Frattini, cosocle	C₂²×C₈	C₂³×C₁₉
socle	C₂²×C₁₉	C₄×D₈
prime radical	C₂×C₁₉×#508	C₂
LCS	G ▷ C₂×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ C₂²×C₈×C₁₉ ◁ C₂×C₄×C₈×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₉×#443	C₂	semidirect
3. C₂×C₁₉×#359	C₂	semidirect
4. C₂×C₁₉×#359	C₂	semidirect
5. C₁₉×#1974	C₂	semidirect
6. C₁₉×#1381	C₂	semidirect
7. C₁₉×#1374	C₂	semidirect
13. C₂×C₁₉×Q₃₂	C₄	semidirect
14. C₂×C₁₉×SD₃₂	C₄	semidirect
15. C₂×C₁₉×SD₃₂	C₄	semidirect
16. C₂×C₁₉×D₁₆	C₄	semidirect
128. #13011	C₁₉	direct (N × H)
168. C₂×#443	C₂×C₁₉	semidirect
169. C₂×#359	C₂×C₁₉	semidirect
170. C₂×#359	C₂×C₁₉	semidirect
171. #1974	C₂×C₁₉	semidirect
172. #1381	C₂×C₁₉	semidirect
173. #1374	C₂×C₁₉	semidirect
197. C₂×Q₃₂	C₄×C₁₉	semidirect
198. C₂×SD₃₂	C₄×C₁₉	semidirect
199. C₂×SD₃₂	C₄×C₁₉	semidirect
200. C₂×D₁₆	C₄×C₁₉	semidirect
266. C₁₉	#13011	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×#443	2
C₂×C₁₉×#359	2
C₁₉×#1974	2
C₁₉×#1381	2
C₁₉×#1374	2
#13011	19

Subgroups — C19×#13011 #18018970

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#13011 #18018970