Subgroups — C₁₉×#10193 #18016152

Order 4864.

592 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3246	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3205	C₂	1	1	yes	maximal, characteristic
3	C₁₉×#3138	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#1982	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1980	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#1503	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#1283	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#533	C₂²	1	1	yes	characteristic
9	C₁₉×#532	C₂²	1	1	yes	characteristic
10	C₂×C₁₉×#127	C₂²	1	1	yes	characteristic
11	C₁₉×#493	—	2	1	no	—
12	C₁₉×#490	—	2	2	no	—
13	C₁₉×#486	—	2	1	no	—
14	C₁₉×#486	—	2	1	no	—
15	C₁₉×#486	—	2	1	no	—
16	C₁₉×#476	—	2	1	no	—
17	C₁₉×#475	—	2	1	no	—
18	C₁₉×#465	—	2	2	no	—
19	C₁₉×#461	—	2	1	no	—
20	C₁₉×#460	—	2	1	no	—
21	C₁₉×#459	—	2	2	no	—
22	C₁₉×#447	—	2	2	no	—
23	C₁₉×#431	C₂²	1	1	yes	characteristic
24	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic
25	C₂×C₁₉×#104	—	2	2	no	—
26	C₁₉×#418	—	2	2	no	—
27	C₂×C₁₉×#102	—	2	2	no	—
28	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
29	C₄×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
30	C₁₉×#328	—	2	2	no	—
31	C₂×#41×C₁₉	—	2	1	no	—
32	C₂²×D₄×C₁₉	—	2	1	no	—
33	C₂²×D₄×C₁₉	—	2	1	no	—
34	C₂²×D₄×C₁₉	—	2	1	no	—
35	C₂×SD₁₆×C₁₉	—	2	2	no	—
36	C₂×D₈×C₁₉	—	2	4	no	—
37	C₂×M₁₆×C₁₉	D₄	1	2	yes	—
38	C₂²×C₈×C₁₉	D₄	1	2	yes	—
39	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
40	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
41	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
42	C₁₉×#127	—	2	1	no	—
43	C₁₉×#127	—	2	1	no	—
44	C₁₉×#127	—	2	1	no	—
45	C₁₉×#127	D₄	1	2	yes	—
46	C₁₉×#127	D₄	1	1	yes	characteristic
47	C₁₉×#125	—	2	1	no	—
48	C₁₉×#124	—	2	1	no	—
49	C₁₉×C₂²⋊Q₈	—	2	1	no	—
50	C₁₉×C₂²⋊Q₈	—	2	1	no	—
51	C₁₉×#121	—	2	1	no	—
52	C₁₉×#121	—	2	1	no	—
53	C₄×Q₈×C₁₉	—	2	1	no	—
54	C₄×Q₈×C₁₉	—	2	1	no	—
55	C₄×D₄×C₁₉	—	2	1	no	—
56	C₄×D₄×C₁₉	—	2	1	no	—
57	C₁₉×#117	—	2	1	no	—
58	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
59	C₂×C₄²×C₁₉	—	2	1	no	—
60	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
61	C₁₉×#106	—	2	2	no	—
62	C₁₉×C₄⋊C₈	—	2	1	no	—
63	C₁₉×C₄⋊C₈	—	2	1	no	—
64	C₁₉×C₄⋊C₈	—	2	1	no	—
65	C₁₉×#104	—	4	4	no	—
66	C₁₉×#103	—	2	2	no	—
67	C₁₉×#102	—	2	4	no	—
68	C₁₉×#102	—	2	4	no	—
69	C₁₉×#102	—	2	4	no	—
70	C₁₉×#102	—	2	2	no	—
71	C₁₉×#102	—	4	4	no	—
72	C₁₉×C₂²⋊C₈	D₄	1	2	yes	—
73	C₁₉×#97	—	2	1	no	—
74	C₄×C₈×C₁₉	—	2	1	no	—
75	C₄×C₈×C₁₉	—	2	1	no	—
76	C₁₉×#95	—	2	1	no	—
77	C₂⁴×C₁₉	—	4	1	no	—
78	#41×C₁₉	—	4	2	no	—
79	#41×C₁₉	—	4	2	no	—
80	C₂×Q₈×C₁₉	—	2	1	no	—
81	C₂×Q₈×C₁₉	—	2	1	no	—
82	C₂×Q₈×C₁₉	—	2	1	no	—
83	C₂×D₄×C₁₉	—	2	1	no	—
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	—	2	1	no	—
88	C₂×D₄×C₁₉	—	2	2	no	—
89	C₂×D₄×C₁₉	—	4	2	no	—
90	C₂×D₄×C₁₉	—	4	2	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	—	4	2	no	—
96	C₂×D₄×C₁₉	—	4	2	no	—
97	C₂×D₄×C₁₉	—	8	2	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	SD₁₆×C₁₉	—	8	2	no	—
104	D₈×C₁₉	—	8	4	no	—
105	M₁₆×C₁₉	—	2	2	no	—
106	M₁₆×C₁₉	—	2	2	no	—
107	C₂×C₈×C₁₉	—	2	2	no	—
108	C₂×C₈×C₁₉	—	2	2	no	—
109	C₂×C₈×C₁₉	—	2	2	no	—
110	C₂×C₈×C₁₉	—	4	2	no	—
111	C₄⋊C₄×C₁₉	—	2	2	no	—
112	C₄⋊C₄×C₁₉	—	2	1	no	—
113	C₄⋊C₄×C₁₉	—	2	1	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	1	no	—
118	C₄⋊C₄×C₁₉	—	4	1	no	—
119	C₄⋊C₄×C₁₉	—	4	1	no	—
120	C₄⋊C₄×C₁₉	—	4	1	no	—
121	C₂²⋊C₄×C₁₉	—	4	1	no	—
122	C₂²⋊C₄×C₁₉	—	4	1	no	—
123	C₂²⋊C₄×C₁₉	—	4	1	no	—
124	C₄²×C₁₉	—	4	1	no	—
125	C₄²×C₁₉	—	4	2	no	—
126	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
127	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
128	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
129	C₄²×C₁₉	#41	1	1	yes	characteristic
130	#10193	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
131	C₂³×C₁₉	—	4	1	no	—
132	C₂³×C₁₉	—	4	2	no	—
133	C₂³×C₁₉	—	8	2	no	—
134	C₂³×C₁₉	—	8	2	no	—
135	C₂³×C₁₉	—	8	1	no	—
136	C₂³×C₁₉	—	8	1	no	—
137	C₂³×C₁₉	#127	1	1	yes	characteristic
138	Q₈×C₁₉	—	4	1	no	—
139	Q₈×C₁₉	—	4	1	no	—
140	Q₈×C₁₉	—	4	2	no	—
141	Q₈×C₁₉	—	8	1	no	—
142	D₄×C₁₉	—	4	2	no	—
143	D₄×C₁₉	—	4	4	no	—
144	D₄×C₁₉	—	4	4	no	—
145	D₄×C₁₉	—	4	4	no	—
146	D₄×C₁₉	—	4	1	no	—
147	D₄×C₁₉	—	4	1	no	—
148	D₄×C₁₉	—	4	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	D₄×C₁₉	—	8	1	no	—
154	D₄×C₁₉	—	8	2	no	—
155	C₂×C₄×C₁₉	—	2	1	no	—
156	C₂×C₄×C₁₉	—	2	1	no	—
157	C₂×C₄×C₁₉	—	4	1	no	—
158	C₂×C₄×C₁₉	—	4	2	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	—	8	1	no	—
163	C₂×C₄×C₁₉	—	8	1	no	—
164	C₂×C₄×C₁₉	—	8	2	no	—
165	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
166	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
167	C₂×C₄×C₁₉	#120	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	#121	1	1	yes	characteristic
171	C₂×C₄×C₁₉	#135	1	2	yes	—
172	C₂×C₄×C₁₉	AGL(1,ℤ/8)	1	2	yes	—
173	C₈×C₁₉	—	4	2	no	—
174	C₈×C₁₉	—	4	2	no	—
175	C₈×C₁₉	—	4	2	no	—
176	#3246	C₂×C₁₉	1	1	yes	characteristic, complemented
177	#3205	C₂×C₁₉	1	1	yes	characteristic
178	#3138	C₂×C₁₉	1	1	yes	characteristic, complemented
179	#1982	C₂×C₁₉	1	1	yes	characteristic, complemented
180	#1980	C₂×C₁₉	1	1	yes	characteristic, complemented
181	#1503	C₂×C₁₉	1	1	yes	characteristic, complemented
182	#1283	C₂×C₁₉	1	1	yes	characteristic, complemented
183	C₂²×C₁₉	—	2	1	no	—
184	C₂²×C₁₉	—	2	1	no	—
185	C₂²×C₁₉	—	8	2	no	—
186	C₂²×C₁₉	—	8	1	no	—
187	C₂²×C₁₉	—	8	2	no	—
188	C₂²×C₁₉	—	8	1	no	—
189	C₂²×C₁₉	—	8	1	no	—
190	C₂²×C₁₉	—	8	2	no	—
191	C₂²×C₁₉	—	16	2	no	—
192	C₂²×C₁₉	—	16	2	no	—
193	C₂²×C₁₉	#392	1	1	yes	characteristic
194	C₂²×C₁₉	#495	1	1	yes	characteristic
195	C₂²×C₁₉	#496	1	1	yes	characteristic
196	C₄×C₁₉	—	2	1	no	—
197	C₄×C₁₉	—	2	1	no	—
198	C₄×C₁₉	—	2	1	no	—
199	C₄×C₁₉	—	8	2	no	—
200	C₄×C₁₉	—	8	1	no	—
201	C₄×C₁₉	—	8	1	no	—
202	C₄×C₁₉	—	8	1	no	—
203	C₄×C₁₉	#449	1	2	yes	—
204	C₄×C₁₉	#453	1	1	yes	characteristic
205	C₄×C₁₉	#454	1	1	yes	characteristic
206	C₄×C₁₉	#463	1	2	yes	—
207	#533	C₂²×C₁₉	1	1	yes	characteristic
208	#532	C₂²×C₁₉	1	1	yes	characteristic
209	C₂×#127	C₂²×C₁₉	1	1	yes	characteristic
210	#493	—	2	1	no	—
211	#490	—	2	2	no	—
212	#486	—	2	1	no	—
213	#486	—	2	1	no	—
214	#486	—	2	1	no	—
215	#476	—	2	1	no	—
216	#475	—	2	1	no	—
217	#465	—	2	2	no	—
218	#461	—	2	1	no	—
219	#460	—	2	1	no	—
220	#459	—	2	2	no	—
221	#447	—	2	2	no	—
222	#431	C₂²×C₁₉	1	1	yes	characteristic
223	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic
224	C₂×#104	—	2	2	no	—
225	#418	—	2	2	no	—
226	C₂×#102	—	2	2	no	—
227	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
228	C₄×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
229	#328	—	2	2	no	—
230	C₂×C₁₉	—	2	1	no	—
231	C₂×C₁₉	—	2	1	no	—
232	C₂×C₁₉	—	16	1	no	—
233	C₂×C₁₉	—	16	2	no	—
234	C₂×C₁₉	#2006	1	1	yes	characteristic
235	C₂×C₁₉	#2008	1	1	yes	characteristic
236	C₂×C₁₉	#2012	1	1	yes	characteristic
237	C₂×#41	—	2	1	no	—
238	C₂²×D₄	—	2	1	no	—
239	C₂²×D₄	—	2	1	no	—
240	C₂²×D₄	—	2	1	no	—
241	C₂×SD₁₆	—	2	2	no	—
242	C₂×D₈	—	2	4	no	—
243	C₂×M₁₆	D₄×C₁₉	1	2	yes	—
244	C₂²×C₈	D₄×C₁₉	1	2	yes	—
245	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
246	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
247	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
248	#127	—	2	1	no	—
249	#127	—	2	1	no	—
250	#127	—	2	1	no	—
251	#127	D₄×C₁₉	1	2	yes	—
252	#127	D₄×C₁₉	1	1	yes	characteristic
253	#125	—	2	1	no	—
254	#124	—	2	1	no	—
255	C₂²⋊Q₈	—	2	1	no	—
256	C₂²⋊Q₈	—	2	1	no	—
257	#121	—	2	1	no	—
258	#121	—	2	1	no	—
259	C₄×Q₈	—	2	1	no	—
260	C₄×Q₈	—	2	1	no	—
261	C₄×D₄	—	2	1	no	—
262	C₄×D₄	—	2	1	no	—
263	#117	—	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	#106	—	2	2	no	—
268	C₄⋊C₈	—	2	1	no	—
269	C₄⋊C₈	—	2	1	no	—
270	C₄⋊C₈	—	2	1	no	—
271	#104	—	4	4	no	—
272	#103	—	2	2	no	—
273	#102	—	2	4	no	—
274	#102	—	2	4	no	—
275	#102	—	2	4	no	—
276	#102	—	2	2	no	—
277	#102	—	4	4	no	—
278	C₂²⋊C₈	D₄×C₁₉	1	2	yes	—
279	#97	—	2	1	no	—
280	C₄×C₈	—	2	1	no	—
281	C₄×C₈	—	2	1	no	—
282	#95	—	2	1	no	—
283	C₁₉	#10193	1	1	yes	characteristic, direct product factor, Sylow
284	C₂⁴	—	4	1	no	—
285	#41	—	4	2	no	—
286	#41	—	4	2	no	—
287	C₂×Q₈	—	2	1	no	—
288	C₂×Q₈	—	2	1	no	—
289	C₂×Q₈	—	2	1	no	—
290	C₂×D₄	—	2	2	no	—
291	C₂×D₄	—	2	1	no	—
292	C₂×D₄	—	2	2	no	—
293	C₂×D₄	—	2	1	no	—
294	C₂×D₄	—	2	1	no	—
295	C₂×D₄	—	2	2	no	—
296	C₂×D₄	—	4	2	no	—
297	C₂×D₄	—	4	2	no	—
298	C₂×D₄	—	4	1	no	—
299	C₂×D₄	—	4	1	no	—
300	C₂×D₄	—	4	1	no	—
301	C₂×D₄	—	4	1	no	—
302	C₂×D₄	—	4	2	no	—
303	C₂×D₄	—	4	2	no	—
304	C₂×D₄	—	8	2	no	—
305	C₂²×C₄	—	4	1	no	—
306	C₂²×C₄	—	4	1	no	—
307	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
308	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
309	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
310	SD₁₆	—	8	2	no	—
311	D₈	—	8	4	no	—
312	M₁₆	—	2	2	no	—
313	M₁₆	—	2	2	no	—
314	C₂×C₈	—	2	2	no	—
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	4	2	no	—
318	C₄⋊C₄	—	2	2	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	—	2	1	no	—
325	C₄⋊C₄	—	4	1	no	—
326	C₄⋊C₄	—	4	1	no	—
327	C₄⋊C₄	—	4	1	no	—
328	C₂²⋊C₄	—	4	1	no	—
329	C₂²⋊C₄	—	4	1	no	—
330	C₂²⋊C₄	—	4	1	no	—
331	C₄²	—	4	1	no	—
332	C₄²	—	4	2	no	—
333	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
334	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
335	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
336	C₄²	#41×C₁₉	1	1	yes	characteristic
337	C₂³	—	4	1	no	—
338	C₂³	—	4	2	no	—
339	C₂³	—	8	2	no	—
340	C₂³	—	8	2	no	—
341	C₂³	—	8	1	no	—
342	C₂³	—	8	1	no	—
343	C₂³	C₁₉×#127	1	1	yes	characteristic
344	Q₈	—	4	1	no	—
345	Q₈	—	4	1	no	—
346	Q₈	—	4	2	no	—
347	Q₈	—	8	1	no	—
348	D₄	—	4	2	no	—
349	D₄	—	4	4	no	—
350	D₄	—	4	4	no	—
351	D₄	—	4	4	no	—
352	D₄	—	4	1	no	—
353	D₄	—	4	1	no	—
354	D₄	—	4	2	no	—
355	D₄	—	8	2	no	—
356	D₄	—	8	1	no	—
357	D₄	—	8	1	no	—
358	D₄	—	8	1	no	—
359	D₄	—	8	1	no	—
360	D₄	—	8	2	no	—
361	C₂×C₄	—	2	1	no	—
362	C₂×C₄	—	2	1	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	—	4	2	no	—
365	C₂×C₄	—	4	1	no	—
366	C₂×C₄	—	4	1	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	8	1	no	—
369	C₂×C₄	—	8	1	no	—
370	C₂×C₄	—	8	2	no	—
371	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
372	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
373	C₂×C₄	C₁₉×#120	1	1	yes	characteristic
374	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
375	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
376	C₂×C₄	C₁₉×#121	1	1	yes	characteristic
377	C₂×C₄	C₁₉×#135	1	2	yes	—
378	C₂×C₄	C₁₉×AGL(1,ℤ/8)	1	2	yes	—
379	C₈	—	4	2	no	—
380	C₈	—	4	2	no	—
381	C₈	—	4	2	no	—
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	8	2	no	—
385	C₂²	—	8	1	no	—
386	C₂²	—	8	2	no	—
387	C₂²	—	8	1	no	—
388	C₂²	—	8	1	no	—
389	C₂²	—	8	2	no	—
390	C₂²	—	16	2	no	—
391	C₂²	—	16	2	no	—
392	C₂²	C₁₉×#392	1	1	yes	characteristic
393	C₂²	C₁₉×#495	1	1	yes	characteristic
394	C₂²	C₁₉×#496	1	1	yes	characteristic
395	C₄	—	2	1	no	—
396	C₄	—	2	1	no	—
397	C₄	—	2	1	no	—
398	C₄	—	8	2	no	—
399	C₄	—	8	1	no	—
400	C₄	—	8	1	no	—
401	C₄	—	8	1	no	—
402	C₄	C₁₉×#449	1	2	yes	—
403	C₄	C₁₉×#453	1	1	yes	characteristic
404	C₄	C₁₉×#454	1	1	yes	characteristic
405	C₄	C₁₉×#463	1	2	yes	—
406	C₂	—	2	1	no	—
407	C₂	—	2	1	no	—
408	C₂	—	16	2	no	—
409	C₂	—	16	1	no	—
410	C₂	C₁₉×#2006	1	1	yes	characteristic
411	C₂	C₁₉×#2008	1	1	yes	characteristic
412	C₂	C₁₉×#2012	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	#392
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₉
prime radical	C₁₉×#3205	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
1. C₁₉×#3246	C₂	semidirect
3. C₁₉×#3138	C₂	semidirect
4. C₁₉×#1982	C₂	semidirect
5. C₁₉×#1980	C₂	semidirect
6. C₁₉×#1503	C₂	semidirect
7. C₁₉×#1283	C₂	semidirect
130. #10193	C₁₉	direct (N × H)
176. #3246	C₂×C₁₉	semidirect
178. #3138	C₂×C₁₉	semidirect
179. #1982	C₂×C₁₉	semidirect
180. #1980	C₂×C₁₉	semidirect
181. #1503	C₂×C₁₉	semidirect
182. #1283	C₂×C₁₉	semidirect
283. C₁₉	#10193	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×#3246	2
C₁₉×#3205	2
C₁₉×#3138	2
C₁₉×#1982	2
C₁₉×#1980	2
C₁₉×#1503	2
C₁₉×#1283	2
#10193	19

Subgroups — C19×#10193 #18016152

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#10193 #18016152