Subgroups — C₁₉×#32886 #18038845

Order 4864.

3936 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₉×#452	C₂	1	3	yes	maximal, complemented
3	C₂×C₁₉×#450	C₂	1	3	yes	maximal, complemented
4	C₁₉×#2616	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#1788	C₂	1	3	yes	maximal, complemented
6	C₁₉×#1786	C₂	1	3	yes	maximal, complemented
7	C₁₉×#1780	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₉×H(5,𝔽₂)	—	2	12	no	—
9	C₂×C₁₉×H(5,𝔽₂)	—	2	12	no	—
10	C₂²×#41×C₁₉	—	2	1	no	—
11	C₂²×#41×C₁₉	C₂²	1	3	yes	—
12	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
13	C₂³×D₄×C₁₉	—	2	3	no	—
14	C₂³×D₄×C₁₉	C₂²	1	3	yes	—
15	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
16	C₂²×SD₁₆×C₁₉	C₂²	1	3	yes	complemented
17	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	3	yes	complemented
18	C₁₉×#452	—	2	12	no	—
19	C₁₉×#450	—	2	12	no	—
20	C₂×C₁₉×#103	C₂²	1	3	yes	complemented
21	C₂×C₁₉×#102	C₂²	1	6	yes	complemented
22	C₂×C₁₉×#102	C₂²	1	3	yes	complemented
23	C₂×C₁₉×C₂²⋊C₈	C₂²	1	3	yes	complemented
24	C₂×C₁₉×C₂²⋊C₈	C₂²	1	3	yes	complemented
25	C₁₉×#395	—	2	1	no	—
26	C₁₉×#394	—	2	3	no	—
27	C₁₉×#380	C₂²	1	3	yes	complemented
28	C₂⁵×C₁₉	—	2	3	no	—
29	C₁₉×H(5,𝔽₂)	—	2	32	no	—
30	C₁₉×H(5,𝔽₂)	—	2	96	no	—
31	C₂×#41×C₁₉	—	2	24	no	—
32	C₂×#41×C₁₉	—	2	12	no	—
33	C₂×#41×C₁₉	—	2	12	no	—
34	C₂×#41×C₁₉	—	2	6	no	—
35	C₂×#41×C₁₉	—	2	6	no	—
36	C₂×#41×C₁₉	—	2	6	no	—
37	C₂×#41×C₁₉	D₄	1	12	yes	—
38	C₂²×Q₈×C₁₉	D₄	1	1	yes	characteristic
39	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
40	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
41	C₂²×D₄×C₁₉	—	2	48	no	—
42	C₂²×D₄×C₁₉	—	2	24	no	—
43	C₂²×D₄×C₁₉	—	2	3	no	—
44	C₂²×D₄×C₁₉	—	2	12	no	—
45	C₂²×D₄×C₁₉	—	2	12	no	—
46	C₂²×D₄×C₁₉	—	2	3	no	—
47	C₂²×D₄×C₁₉	—	2	6	no	—
48	C₂²×D₄×C₁₉	D₄	1	3	yes	—
49	C₂²×D₄×C₁₉	D₄	1	12	yes	—
50	C₂²×D₄×C₁₉	C₂³	1	3	yes	—
51	C₂³×C₄×C₁₉	—	2	3	no	—
52	C₂³×C₄×C₁₉	C₂³	1	3	yes	—
53	C₂×Q₁₆×C₁₉	—	2	6	no	—
54	C₂×SD₁₆×C₁₉	—	2	12	no	—
55	C₂×SD₁₆×C₁₉	—	2	6	no	—
56	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
57	C₂²×C₈×C₁₉	C₂³	1	3	yes	—
58	C₁₉×C₂²⋊Q₈	—	2	6	no	—
59	C₁₉×C₂²⋊Q₈	—	2	6	no	—
60	C₂×C₄⋊C₄×C₁₉	—	2	3	no	—
61	C₂×C₄⋊C₄×C₁₉	C₂³	1	3	yes	—
62	C₂×C₂²⋊C₄×C₁₉	—	2	3	no	—
63	C₂×C₂²⋊C₄×C₁₉	—	2	3	no	—
64	C₁₉×#103	—	2	6	no	—
65	C₁₉×#102	—	2	12	no	—
66	C₁₉×#102	—	2	6	no	—
67	C₁₉×C₂²⋊C₈	—	2	6	no	—
68	C₁₉×C₂²⋊C₈	—	2	6	no	—
69	C₁₉×#95	—	2	3	no	—
70	C₂⁴×C₁₉	—	2	24	no	—
71	C₂⁴×C₁₉	—	2	3	no	—
72	C₂⁴×C₁₉	—	2	12	no	—
73	C₂⁴×C₁₉	—	8	3	no	—
74	C₂⁴×C₁₉	—	8	6	no	—
75	C₂⁴×C₁₉	—	8	3	no	—
76	C₂⁴×C₁₉	C₂×D₄	1	3	yes	—
77	#41×C₁₉	—	2	64	no	—
78	#41×C₁₉	—	2	48	no	—
79	#41×C₁₉	—	2	8	no	—
80	#41×C₁₉	—	2	24	no	—
81	#41×C₁₉	—	2	24	no	—
82	#41×C₁₉	—	2	24	no	—
83	C₂×Q₈×C₁₉	—	2	6	no	—
84	C₂×Q₈×C₁₉	—	2	3	no	—
85	C₂×Q₈×C₁₉	—	2	3	no	—
86	C₂×Q₈×C₁₉	—	2	3	no	—
87	C₂×Q₈×C₁₉	C₂×D₄	1	6	yes	—
88	C₂×D₄×C₁₉	—	2	24	no	—
89	C₂×D₄×C₁₉	—	2	24	no	—
90	C₂×D₄×C₁₉	—	2	192	no	—
91	C₂×D₄×C₁₉	—	2	24	no	—
92	C₂×D₄×C₁₉	—	2	24	no	—
93	C₂×D₄×C₁₉	—	2	12	no	—
94	C₂×D₄×C₁₉	—	2	12	no	—
95	C₂×D₄×C₁₉	—	2	48	no	—
96	C₂×D₄×C₁₉	—	2	6	no	—
97	C₂×D₄×C₁₉	—	2	12	no	—
98	C₂×D₄×C₁₉	—	2	6	no	—
99	C₂×D₄×C₁₉	—	2	3	no	—
100	C₂×D₄×C₁₉	C₂×D₄	1	6	yes	—
101	C₂×D₄×C₁₉	C₂×D₄	1	12	yes	—
102	C₂²×C₄×C₁₉	—	2	24	no	—
103	C₂²×C₄×C₁₉	—	2	1	no	—
104	C₂²×C₄×C₁₉	—	2	12	no	—
105	C₂²×C₄×C₁₉	—	2	6	no	—
106	C₂²×C₄×C₁₉	—	2	6	no	—
107	C₂²×C₄×C₁₉	—	2	1	no	—
108	C₂²×C₄×C₁₉	—	2	3	no	—
109	C₂²×C₄×C₁₉	C₂×D₄	1	3	yes	—
110	C₂²×C₄×C₁₉	C₂×D₄	1	6	yes	—
111	C₂²×C₄×C₁₉	C₂×D₄	1	6	yes	—
112	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
113	Q₁₆×C₁₉	—	4	4	no	—
114	SD₁₆×C₁₉	—	4	12	no	—
115	C₂×C₈×C₁₉	—	2	6	no	—
116	C₂×C₈×C₁₉	—	2	3	no	—
117	C₂×C₈×C₁₉	—	2	3	no	—
118	C₄⋊C₄×C₁₉	—	2	3	no	—
119	C₄⋊C₄×C₁₉	—	2	3	no	—
120	C₄⋊C₄×C₁₉	—	4	6	no	—
121	C₂²⋊C₄×C₁₉	—	4	6	no	—
122	C₂²⋊C₄×C₁₉	—	8	3	no	—
123	#32886	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
124	C₂³×C₁₉	—	2	48	no	—
125	C₂³×C₁₉	—	2	6	no	—
126	C₂³×C₁₉	—	2	12	no	—
127	C₂³×C₁₉	—	2	6	no	—
128	C₂³×C₁₉	—	2	3	no	—
129	C₂³×C₁₉	—	2	6	no	—
130	C₂³×C₁₉	—	2	3	no	—
131	C₂³×C₁₉	—	4	3	no	—
132	C₂³×C₁₉	—	4	3	no	—
133	C₂³×C₁₉	—	4	6	no	—
134	C₂³×C₁₉	—	8	12	no	—
135	C₂³×C₁₉	—	8	12	no	—
136	C₂³×C₁₉	—	8	24	no	—
137	C₂³×C₁₉	—	8	24	no	—
138	C₂³×C₁₉	#120	1	6	yes	—
139	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
140	Q₈×C₁₉	—	2	8	no	—
141	Q₈×C₁₉	—	2	6	no	—
142	Q₈×C₁₉	—	4	3	no	—
143	Q₈×C₁₉	—	4	1	no	—
144	Q₈×C₁₉	#120	1	4	yes	—
145	D₄×C₁₉	—	2	48	no	—
146	D₄×C₁₉	—	2	24	no	—
147	D₄×C₁₉	—	2	48	no	—
148	D₄×C₁₉	—	2	6	no	—
149	D₄×C₁₉	—	2	12	no	—
150	D₄×C₁₉	#120	1	12	yes	—
151	C₂×C₄×C₁₉	—	2	48	no	—
152	C₂×C₄×C₁₉	—	2	6	no	—
153	C₂×C₄×C₁₉	—	2	6	no	—
154	C₂×C₄×C₁₉	—	2	6	no	—
155	C₂×C₄×C₁₉	—	2	6	no	—
156	C₂×C₄×C₁₉	—	2	12	no	—
157	C₂×C₄×C₁₉	—	4	3	no	—
158	C₂×C₄×C₁₉	—	4	3	no	—
159	C₂×C₄×C₁₉	—	4	3	no	—
160	C₂×C₄×C₁₉	—	4	3	no	—
161	C₂×C₄×C₁₉	#120	1	6	yes	—
162	C₂×C₄×C₁₉	C₂²×D₄	1	3	yes	—
163	C₂×C₄×C₁₉	C₂²×D₄	1	3	yes	—
164	C₈×C₁₉	—	4	3	no	—
165	C₈×C₁₉	—	4	1	no	—
166	C₂²×H(5,𝔽₂)	C₂×C₁₉	1	1	yes	characteristic
167	C₂×#452	C₂×C₁₉	1	3	yes	complemented
168	C₂×#450	C₂×C₁₉	1	3	yes	complemented
169	#2616	C₂×C₁₉	1	1	yes	characteristic, complemented
170	#1788	C₂×C₁₉	1	3	yes	complemented
171	#1786	C₂×C₁₉	1	3	yes	complemented
172	#1780	C₂×C₁₉	1	1	yes	characteristic, complemented
173	C₂²×C₁₉	—	2	6	no	—
174	C₂²×C₁₉	—	2	12	no	—
175	C₂²×C₁₉	—	2	6	no	—
176	C₂²×C₁₉	—	2	6	no	—
177	C₂²×C₁₉	—	4	6	no	—
178	C₂²×C₁₉	—	4	12	no	—
179	C₂²×C₁₉	—	4	6	no	—
180	C₂²×C₁₉	—	4	6	no	—
181	C₂²×C₁₉	—	4	12	no	—
182	C₂²×C₁₉	—	4	6	no	—
183	C₂²×C₁₉	—	8	48	no	—
184	C₂²×C₁₉	C₂×#120	1	3	yes	—
185	C₂²×C₁₉	#576	1	1	yes	characteristic
186	C₂²×C₁₉	#577	1	3	yes	—
187	C₄×C₁₉	—	2	4	no	—
188	C₄×C₁₉	—	2	6	no	—
189	C₄×C₁₉	—	8	1	no	—
190	C₄×C₁₉	—	8	3	no	—
191	C₄×C₁₉	C₂×#120	1	1	yes	characteristic
192	C₄×C₁₉	C₂×#120	1	3	yes	—
193	C₂×H(5,𝔽₂)	—	2	12	no	—
194	C₂×H(5,𝔽₂)	—	2	12	no	—
195	C₂²×#41	—	2	1	no	—
196	C₂²×#41	C₂²×C₁₉	1	3	yes	—
197	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
198	C₂³×D₄	—	2	3	no	—
199	C₂³×D₄	C₂²×C₁₉	1	3	yes	—
200	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
201	C₂²×SD₁₆	C₂²×C₁₉	1	3	yes	complemented
202	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	3	yes	complemented
203	#452	—	2	12	no	—
204	#450	—	2	12	no	—
205	C₂×#103	C₂²×C₁₉	1	3	yes	complemented
206	C₂×#102	C₂²×C₁₉	1	6	yes	complemented
207	C₂×#102	C₂²×C₁₉	1	3	yes	complemented
208	C₂×C₂²⋊C₈	C₂²×C₁₉	1	3	yes	complemented
209	C₂×C₂²⋊C₈	C₂²×C₁₉	1	3	yes	complemented
210	#395	—	2	1	no	—
211	#394	—	2	3	no	—
212	#380	C₂²×C₁₉	1	3	yes	complemented
213	C₂×C₁₉	—	4	6	no	—
214	C₂×C₁₉	—	4	12	no	—
215	C₂×C₁₉	#2846	1	1	yes	characteristic
216	C₂×C₁₉	#3009	1	3	yes	—
217	C₂×C₁₉	#3012	1	3	yes	—
218	C₂⁵	—	2	3	no	—
219	H(5,𝔽₂)	—	2	32	no	—
220	H(5,𝔽₂)	—	2	96	no	—
221	C₂×#41	—	2	24	no	—
222	C₂×#41	—	2	12	no	—
223	C₂×#41	—	2	12	no	—
224	C₂×#41	—	2	6	no	—
225	C₂×#41	—	2	6	no	—
226	C₂×#41	—	2	6	no	—
227	C₂×#41	D₄×C₁₉	1	12	yes	—
228	C₂²×Q₈	D₄×C₁₉	1	1	yes	characteristic
229	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
230	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
231	C₂²×D₄	—	2	48	no	—
232	C₂²×D₄	—	2	24	no	—
233	C₂²×D₄	—	2	3	no	—
234	C₂²×D₄	—	2	12	no	—
235	C₂²×D₄	—	2	12	no	—
236	C₂²×D₄	—	2	3	no	—
237	C₂²×D₄	—	2	6	no	—
238	C₂²×D₄	D₄×C₁₉	1	3	yes	—
239	C₂²×D₄	D₄×C₁₉	1	12	yes	—
240	C₂²×D₄	C₂³×C₁₉	1	3	yes	—
241	C₂³×C₄	—	2	3	no	—
242	C₂³×C₄	C₂³×C₁₉	1	3	yes	—
243	C₂×Q₁₆	—	2	6	no	—
244	C₂×SD₁₆	—	2	12	no	—
245	C₂×SD₁₆	—	2	6	no	—
246	C₂²×C₈	C₂³×C₁₉	1	3	yes	—
247	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
248	C₂²⋊Q₈	—	2	6	no	—
249	C₂²⋊Q₈	—	2	6	no	—
250	C₂×C₄⋊C₄	—	2	3	no	—
251	C₂×C₄⋊C₄	C₂³×C₁₉	1	3	yes	—
252	C₂×C₂²⋊C₄	—	2	3	no	—
253	C₂×C₂²⋊C₄	—	2	3	no	—
254	#103	—	2	6	no	—
255	#102	—	2	12	no	—
256	#102	—	2	6	no	—
257	C₂²⋊C₈	—	2	6	no	—
258	C₂²⋊C₈	—	2	6	no	—
259	#95	—	2	3	no	—
260	C₁₉	#32886	1	1	yes	characteristic, direct product factor, Sylow
261	C₂⁴	—	2	24	no	—
262	C₂⁴	—	2	3	no	—
263	C₂⁴	—	2	12	no	—
264	C₂⁴	—	8	3	no	—
265	C₂⁴	—	8	6	no	—
266	C₂⁴	—	8	3	no	—
267	C₂⁴	C₂×D₄×C₁₉	1	3	yes	—
268	#41	—	2	64	no	—
269	#41	—	2	48	no	—
270	#41	—	2	8	no	—
271	#41	—	2	24	no	—
272	#41	—	2	24	no	—
273	#41	—	2	24	no	—
274	C₂×Q₈	—	2	6	no	—
275	C₂×Q₈	—	2	3	no	—
276	C₂×Q₈	—	2	3	no	—
277	C₂×Q₈	—	2	3	no	—
278	C₂×Q₈	C₂×D₄×C₁₉	1	6	yes	—
279	C₂×D₄	—	2	24	no	—
280	C₂×D₄	—	2	24	no	—
281	C₂×D₄	—	2	192	no	—
282	C₂×D₄	—	2	24	no	—
283	C₂×D₄	—	2	24	no	—
284	C₂×D₄	—	2	12	no	—
285	C₂×D₄	—	2	12	no	—
286	C₂×D₄	—	2	48	no	—
287	C₂×D₄	—	2	6	no	—
288	C₂×D₄	—	2	12	no	—
289	C₂×D₄	—	2	6	no	—
290	C₂×D₄	—	2	3	no	—
291	C₂×D₄	C₂×D₄×C₁₉	1	6	yes	—
292	C₂×D₄	C₂×D₄×C₁₉	1	12	yes	—
293	C₂²×C₄	—	2	24	no	—
294	C₂²×C₄	—	2	1	no	—
295	C₂²×C₄	—	2	12	no	—
296	C₂²×C₄	—	2	6	no	—
297	C₂²×C₄	—	2	6	no	—
298	C₂²×C₄	—	2	3	no	—
299	C₂²×C₄	—	2	1	no	—
300	C₂²×C₄	C₂×D₄×C₁₉	1	3	yes	—
301	C₂²×C₄	C₂×D₄×C₁₉	1	6	yes	—
302	C₂²×C₄	C₂×D₄×C₁₉	1	6	yes	—
303	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
304	Q₁₆	—	4	4	no	—
305	SD₁₆	—	4	12	no	—
306	C₂×C₈	—	2	6	no	—
307	C₂×C₈	—	2	3	no	—
308	C₂×C₈	—	2	3	no	—
309	C₄⋊C₄	—	2	3	no	—
310	C₄⋊C₄	—	2	3	no	—
311	C₄⋊C₄	—	4	6	no	—
312	C₂²⋊C₄	—	4	6	no	—
313	C₂²⋊C₄	—	8	3	no	—
314	C₂³	—	2	48	no	—
315	C₂³	—	2	6	no	—
316	C₂³	—	2	12	no	—
317	C₂³	—	2	6	no	—
318	C₂³	—	2	3	no	—
319	C₂³	—	2	6	no	—
320	C₂³	—	2	3	no	—
321	C₂³	—	4	3	no	—
322	C₂³	—	4	3	no	—
323	C₂³	—	4	6	no	—
324	C₂³	—	8	12	no	—
325	C₂³	—	8	12	no	—
326	C₂³	—	8	24	no	—
327	C₂³	—	8	24	no	—
328	C₂³	C₁₉×#120	1	6	yes	—
329	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
330	Q₈	—	2	8	no	—
331	Q₈	—	2	6	no	—
332	Q₈	—	4	3	no	—
333	Q₈	—	4	1	no	—
334	Q₈	C₁₉×#120	1	4	yes	—
335	D₄	—	2	48	no	—
336	D₄	—	2	24	no	—
337	D₄	—	2	48	no	—
338	D₄	—	2	6	no	—
339	D₄	—	2	12	no	—
340	D₄	C₁₉×#120	1	12	yes	—
341	C₂×C₄	—	2	48	no	—
342	C₂×C₄	—	2	6	no	—
343	C₂×C₄	—	2	6	no	—
344	C₂×C₄	—	2	6	no	—
345	C₂×C₄	—	2	6	no	—
346	C₂×C₄	—	2	12	no	—
347	C₂×C₄	—	4	3	no	—
348	C₂×C₄	—	4	3	no	—
349	C₂×C₄	—	4	3	no	—
350	C₂×C₄	—	4	3	no	—
351	C₂×C₄	C₁₉×#120	1	6	yes	—
352	C₂×C₄	C₂²×D₄×C₁₉	1	3	yes	—
353	C₂×C₄	C₂²×D₄×C₁₉	1	3	yes	—
354	C₈	—	4	3	no	—
355	C₈	—	4	1	no	—
356	C₂²	—	2	6	no	—
357	C₂²	—	2	6	no	—
358	C₂²	—	2	6	no	—
359	C₂²	—	2	12	no	—
360	C₂²	—	4	6	no	—
361	C₂²	—	4	12	no	—
362	C₂²	—	4	6	no	—
363	C₂²	—	4	6	no	—
364	C₂²	—	4	12	no	—
365	C₂²	—	4	6	no	—
366	C₂²	—	8	48	no	—
367	C₂²	C₂×C₁₉×#120	1	3	yes	—
368	C₂²	C₁₉×#576	1	1	yes	characteristic
369	C₂²	C₁₉×#577	1	3	yes	—
370	C₄	—	2	4	no	—
371	C₄	—	2	6	no	—
372	C₄	—	8	3	no	—
373	C₄	—	8	1	no	—
374	C₄	C₂×C₁₉×#120	1	1	yes	characteristic
375	C₄	C₂×C₁₉×#120	1	3	yes	—
376	C₂	—	4	6	no	—
377	C₂	—	4	12	no	—
378	C₂	C₁₉×#2846	1	1	yes	characteristic
379	C₂	C₁₉×#3009	1	3	yes	—
380	C₂	C₁₉×#3012	1	3	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₉
prime radical	C₂²×C₁₉×H(5,𝔽₂)	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂²×#41×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₉×#452	C₂	semidirect
3. C₂×C₁₉×#450	C₂	semidirect
4. C₁₉×#2616	C₂	semidirect
5. C₁₉×#1788	C₂	semidirect
6. C₁₉×#1786	C₂	semidirect
7. C₁₉×#1780	C₂	semidirect
15. C₂²×Q₁₆×C₁₉	C₂²	semidirect
16. C₂²×SD₁₆×C₁₉	C₂²	semidirect
17. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
20. C₂×C₁₉×#103	C₂²	semidirect
21. C₂×C₁₉×#102	C₂²	semidirect
22. C₂×C₁₉×#102	C₂²	semidirect
23. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
24. C₂×C₁₉×C₂²⋊C₈	C₂²	semidirect
27. C₁₉×#380	C₂²	semidirect
123. #32886	C₁₉	direct (N × H)
167. C₂×#452	C₂×C₁₉	semidirect
168. C₂×#450	C₂×C₁₉	semidirect
169. #2616	C₂×C₁₉	semidirect
170. #1788	C₂×C₁₉	semidirect
171. #1786	C₂×C₁₉	semidirect
172. #1780	C₂×C₁₉	semidirect
200. C₂²×Q₁₆	C₂²×C₁₉	semidirect
201. C₂²×SD₁₆	C₂²×C₁₉	semidirect
202. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
205. C₂×#103	C₂²×C₁₉	semidirect
206. C₂×#102	C₂²×C₁₉	semidirect
207. C₂×#102	C₂²×C₁₉	semidirect
208. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
209. C₂×C₂²⋊C₈	C₂²×C₁₉	semidirect
212. #380	C₂²×C₁₉	semidirect
260. C₁₉	#32886	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₁₉×H(5,𝔽₂)	2
C₂×C₁₉×#452	2
C₂×C₁₉×#450	2
C₁₉×#2616	2
C₁₉×#1788	2
C₁₉×#1786	2
C₁₉×#1780	2
#32886	19

Subgroups — C19×#32886 #18038845

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#32886 #18038845