Subgroups — C₂×C₁₉×#3045 #18066379

Order 4864.

2934 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₉×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₉×#135	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₉×#535	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₉×#520	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3045	C₂	1	16	yes	maximal, direct product factor
6	C₂×C₁₉×#464	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₉×#460	C₂	1	2	yes	maximal, complemented
8	C₂×C₁₉×#463	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₉×#459	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₉×#424	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₉×#417	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₉×#102	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
14	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
15	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic
16	C₂×C₁₉×AGL(1,ℤ/8)	—	2	8	no	—
17	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	8	yes	complemented
18	C₂×C₁₉×#135	—	2	8	no	—
19	C₂×C₁₉×#135	C₂²	1	8	yes	complemented
20	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
21	C₂²×SD₁₆×C₁₉	C₂²	1	2	yes	—
22	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
23	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
24	C₂²×D₈×C₁₉	C₂²	1	2	yes	—
25	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
26	C₂²×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
27	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
28	C₁₉×#535	—	2	4	no	—
29	C₁₉×#535	C₂²	1	8	yes	complemented
30	C₂×C₁₉×#127	C₂²	1	2	yes	—
31	C₂×C₁₉×#124	C₂²	1	2	yes	—
32	C₂×C₁₉×#121	—	2	1	no	—
33	C₂×C₁₉×#121	—	2	1	no	—
34	C₂×C₁₉×#120	—	2	2	no	—
35	C₁₉×#520	—	2	4	no	—
36	C₁₉×#520	C₂²	1	8	yes	complemented
37	C₂×C₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
38	C₂×C₄×D₄×C₁₉	—	2	2	no	—
39	C₂×C₄×D₄×C₁₉	C₂²	1	2	yes	complemented
40	C₂×C₁₉×#117	—	2	1	no	—
41	C₂×C₁₉×#117	C₂²	1	1	yes	characteristic
42	C₂²×C₄⋊C₄×C₁₉	—	2	1	no	—
43	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
44	C₁₉×#464	C₂²	1	16	yes	complemented
45	C₁₉×#463	C₂²	1	16	yes	complemented
46	C₁₉×#460	C₂²	1	16	yes	complemented
47	C₁₉×#459	C₂²	1	16	yes	complemented
48	C₁₉×#424	C₂²	1	8	yes	complemented
49	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	complemented
50	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	complemented
51	C₁₉×#417	C₂²	1	8	yes	complemented
52	C₂×C₁₉×#103	C₂²	1	2	yes	complemented
53	C₂×C₁₉×#102	C₂²	1	2	yes	—
54	C₂×C₁₉×#102	C₂²	1	2	yes	—
55	C₂×C₁₉×#102	C₂²	1	8	yes	complemented
56	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
57	C₂⁵×C₁₉	—	2	1	no	—
58	C₂×#41×C₁₉	—	2	2	no	—
59	C₂×#41×C₁₉	—	2	2	no	—
60	C₂×#41×C₁₉	—	2	4	no	—
61	C₂×#41×C₁₉	—	2	4	no	—
62	C₂×#41×C₁₉	—	2	4	no	—
63	C₂×#41×C₁₉	D₄	1	8	yes	complemented
64	C₂×#41×C₁₉	C₂³	1	4	yes	—
65	C₂×#41×C₁₉	C₂³	1	4	yes	—
66	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
67	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
68	C₂²×D₄×C₁₉	—	2	1	no	—
69	C₂²×D₄×C₁₉	—	2	1	no	—
70	C₂²×D₄×C₁₉	—	2	4	no	—
71	C₂²×D₄×C₁₉	—	2	1	no	—
72	C₂²×D₄×C₁₉	—	2	2	no	—
73	C₂²×D₄×C₁₉	—	2	2	no	—
74	C₂²×D₄×C₁₉	—	2	2	no	—
75	C₂²×D₄×C₁₉	—	2	4	no	—
76	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
77	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
78	C₂²×D₄×C₁₉	C₂³	1	4	yes	—
79	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
80	C₂³×C₄×C₁₉	—	2	1	no	—
81	C₂³×C₄×C₁₉	—	2	1	no	—
82	C₂³×C₄×C₁₉	—	2	1	no	—
83	C₂³×C₄×C₁₉	—	2	2	no	—
84	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
85	C₁₉×AGL(1,ℤ/8)	—	2	32	no	—
86	C₁₉×#135	—	2	32	no	—
87	C₂×Q₁₆×C₁₉	—	2	4	no	—
88	C₂×Q₁₆×C₁₉	C₂³	1	4	yes	complemented
89	C₂×SD₁₆×C₁₉	—	2	8	no	—
90	C₂×SD₁₆×C₁₉	—	2	4	no	—
91	C₂×SD₁₆×C₁₉	—	2	4	no	—
92	C₂×SD₁₆×C₁₉	C₂³	1	8	yes	—
93	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	complemented
94	C₂×SD₁₆×C₁₉	C₂³	1	4	yes	complemented
95	C₂×D₈×C₁₉	—	2	8	no	—
96	C₂×D₈×C₁₉	—	2	4	no	—
97	C₂×D₈×C₁₉	C₂³	1	8	yes	—
98	C₂×D₈×C₁₉	C₂³	1	4	yes	complemented
99	C₂×M₁₆×C₁₉	—	2	4	no	—
100	C₂×M₁₆×C₁₉	C₂³	1	4	yes	—
101	C₂²×C₈×C₁₉	—	2	4	no	—
102	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
103	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
104	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
105	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
106	C₁₉×#127	—	2	4	no	—
107	C₁₉×#127	C₂³	1	8	yes	—
108	C₁₉×#124	—	2	4	no	—
109	C₁₉×#124	C₂³	1	8	yes	—
110	C₁₉×#121	—	2	8	no	—
111	C₁₉×#121	—	2	8	no	—
112	C₁₉×#120	—	2	16	no	—
113	C₄×Q₈×C₁₉	—	2	4	no	—
114	C₄×Q₈×C₁₉	C₂³	1	8	yes	complemented
115	C₄×D₄×C₁₉	—	2	16	no	—
116	C₄×D₄×C₁₉	—	2	4	no	—
117	C₄×D₄×C₁₉	C₂³	1	8	yes	complemented
118	C₁₉×#117	—	2	8	no	—
119	C₁₉×#117	D₄	1	4	yes	—
120	C₁₉×#117	C₂³	1	4	yes	—
121	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
122	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
123	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
124	C₂×C₄⋊C₄×C₁₉	—	2	8	no	—
125	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
126	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
127	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
128	C₂×C₄⋊C₄×C₁₉	C₂³	1	4	yes	—
129	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
130	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
131	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
132	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
133	C₂×C₄²×C₁₉	—	2	2	no	—
134	C₂×C₄²×C₁₉	C₂³	1	2	yes	—
135	C₁₉×C₄⋊C₈	C₂³	1	8	yes	complemented
136	C₁₉×C₄⋊C₈	C₂³	1	8	yes	complemented
137	C₁₉×#103	C₂³	1	8	yes	complemented
138	C₁₉×#102	C₂³	1	8	yes	—
139	C₁₉×#102	C₂³	1	8	yes	—
140	C₁₉×#102	C₂³	1	8	yes	complemented
141	C₂⁴×C₁₉	—	2	1	no	—
142	C₂⁴×C₁₉	—	2	2	no	—
143	C₂⁴×C₁₉	—	2	1	no	—
144	C₂⁴×C₁₉	—	2	4	no	—
145	C₂⁴×C₁₉	—	4	4	no	—
146	C₂⁴×C₁₉	—	8	2	no	—
147	C₂⁴×C₁₉	—	8	2	no	—
148	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
149	#41×C₁₉	—	2	16	no	—
150	#41×C₁₉	—	2	8	no	—
151	#41×C₁₉	—	2	8	no	—
152	#41×C₁₉	—	2	8	no	—
153	#41×C₁₉	—	4	8	no	—
154	#41×C₁₉	C₂×D₄	1	16	yes	complemented
155	C₂×Q₈×C₁₉	—	2	1	no	—
156	C₂×Q₈×C₁₉	—	2	1	no	—
157	C₂×Q₈×C₁₉	—	2	2	no	—
158	C₂×Q₈×C₁₉	—	2	2	no	—
159	C₂×Q₈×C₁₉	—	2	2	no	—
160	C₂×Q₈×C₁₉	C₂×D₄	1	4	yes	—
161	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
162	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
163	C₂×D₄×C₁₉	—	2	8	no	—
164	C₂×D₄×C₁₉	—	2	4	no	—
165	C₂×D₄×C₁₉	—	2	4	no	—
166	C₂×D₄×C₁₉	—	2	1	no	—
167	C₂×D₄×C₁₉	—	2	4	no	—
168	C₂×D₄×C₁₉	—	2	2	no	—
169	C₂×D₄×C₁₉	—	2	8	no	—
170	C₂×D₄×C₁₉	—	2	4	no	—
171	C₂×D₄×C₁₉	—	2	2	no	—
172	C₂×D₄×C₁₉	—	2	1	no	—
173	C₂×D₄×C₁₉	—	2	8	no	—
174	C₂×D₄×C₁₉	—	2	8	no	—
175	C₂×D₄×C₁₉	—	2	2	no	—
176	C₂×D₄×C₁₉	—	2	4	no	—
177	C₂×D₄×C₁₉	—	2	8	no	—
178	C₂×D₄×C₁₉	—	2	2	no	—
179	C₂×D₄×C₁₉	—	4	4	no	—
180	C₂×D₄×C₁₉	—	4	4	no	—
181	C₂×D₄×C₁₉	—	4	8	no	—
182	C₂×D₄×C₁₉	—	8	4	no	—
183	C₂×D₄×C₁₉	—	8	4	no	—
184	C₂×D₄×C₁₉	C₂×D₄	1	4	yes	—
185	C₂×D₄×C₁₉	C₂⁴	1	4	yes	—
186	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
187	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
188	C₂²×C₄×C₁₉	—	2	1	no	—
189	C₂²×C₄×C₁₉	—	2	8	no	—
190	C₂²×C₄×C₁₉	—	2	4	no	—
191	C₂²×C₄×C₁₉	—	2	2	no	—
192	C₂²×C₄×C₁₉	—	2	1	no	—
193	C₂²×C₄×C₁₉	—	2	4	no	—
194	C₂²×C₄×C₁₉	—	2	4	no	—
195	C₂²×C₄×C₁₉	—	2	8	no	—
196	C₂²×C₄×C₁₉	—	4	4	no	—
197	C₂²×C₄×C₁₉	—	8	4	no	—
198	C₂²×C₄×C₁₉	—	8	2	no	—
199	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
200	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
201	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
202	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
203	C₂²×C₄×C₁₉	C₂×D₄	1	4	yes	—
204	C₂²×C₄×C₁₉	#41	1	4	yes	—
205	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
206	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
207	Q₁₆×C₁₉	—	2	8	no	—
208	SD₁₆×C₁₉	—	2	16	no	—
209	SD₁₆×C₁₉	—	2	8	no	—
210	SD₁₆×C₁₉	—	2	8	no	—
211	D₈×C₁₉	—	2	16	no	—
212	D₈×C₁₉	—	2	8	no	—
213	M₁₆×C₁₉	—	2	8	no	—
214	C₂×C₈×C₁₉	—	2	2	no	—
215	C₂×C₈×C₁₉	—	2	2	no	—
216	C₂×C₈×C₁₉	—	2	8	no	—
217	C₂×C₈×C₁₉	—	2	4	no	—
218	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
219	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
220	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
221	C₄⋊C₄×C₁₉	—	2	4	no	—
222	C₄⋊C₄×C₁₉	—	2	8	no	—
223	C₄⋊C₄×C₁₉	—	2	2	no	—
224	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
225	C₄⋊C₄×C₁₉	C₂×D₄	1	4	yes	—
226	C₄⋊C₄×C₁₉	C₂⁴	1	4	yes	—
227	C₂²⋊C₄×C₁₉	—	2	8	no	—
228	C₂²⋊C₄×C₁₉	—	2	8	no	—
229	C₂²⋊C₄×C₁₉	—	2	8	no	—
230	C₂²⋊C₄×C₁₉	C₂×D₄	1	8	yes	—
231	C₄²×C₁₉	—	2	8	no	—
232	C₄²×C₁₉	C₂×D₄	1	4	yes	—
233	C₄²×C₁₉	C₂⁴	1	4	yes	—
234	C₂×#3045	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
235	C₂³×C₁₉	—	2	2	no	—
236	C₂³×C₁₉	—	2	2	no	—
237	C₂³×C₁₉	—	2	4	no	—
238	C₂³×C₁₉	—	2	2	no	—
239	C₂³×C₁₉	—	2	4	no	—
240	C₂³×C₁₉	—	2	2	no	—
241	C₂³×C₁₉	—	4	2	no	—
242	C₂³×C₁₉	—	4	2	no	—
243	C₂³×C₁₉	—	4	2	no	—
244	C₂³×C₁₉	—	4	8	no	—
245	C₂³×C₁₉	—	4	4	no	—
246	C₂³×C₁₉	—	4	2	no	—
247	C₂³×C₁₉	—	4	4	no	—
248	C₂³×C₁₉	—	4	2	no	—
249	C₂³×C₁₉	—	4	4	no	—
250	C₂³×C₁₉	—	8	4	no	—
251	C₂³×C₁₉	—	8	4	no	—
252	C₂³×C₁₉	—	8	16	no	—
253	C₂³×C₁₉	#121	1	4	yes	—
254	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
255	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
256	Q₈×C₁₉	—	2	4	no	—
257	Q₈×C₁₉	—	2	2	no	—
258	Q₈×C₁₉	—	2	2	no	—
259	Q₈×C₁₉	—	2	2	no	—
260	Q₈×C₁₉	—	4	2	no	—
261	Q₈×C₁₉	C₂²×D₄	1	4	yes	—
262	D₄×C₁₉	—	2	16	no	—
263	D₄×C₁₉	—	2	4	no	—
264	D₄×C₁₉	—	2	4	no	—
265	D₄×C₁₉	—	2	2	no	—
266	D₄×C₁₉	—	2	2	no	—
267	D₄×C₁₉	—	2	4	no	—
268	D₄×C₁₉	—	2	2	no	—
269	D₄×C₁₉	—	4	8	no	—
270	D₄×C₁₉	—	4	8	no	—
271	D₄×C₁₉	—	4	4	no	—
272	D₄×C₁₉	—	4	2	no	—
273	D₄×C₁₉	—	8	8	no	—
274	D₄×C₁₉	—	8	8	no	—
275	D₄×C₁₉	C₂²×D₄	1	4	yes	—
276	C₂×C₄×C₁₉	—	2	4	no	—
277	C₂×C₄×C₁₉	—	2	4	no	—
278	C₂×C₄×C₁₉	—	2	4	no	—
279	C₂×C₄×C₁₉	—	2	2	no	—
280	C₂×C₄×C₁₉	—	2	16	no	—
281	C₂×C₄×C₁₉	—	2	4	no	—
282	C₂×C₄×C₁₉	—	2	2	no	—
283	C₂×C₄×C₁₉	—	4	2	no	—
284	C₂×C₄×C₁₉	—	4	4	no	—
285	C₂×C₄×C₁₉	—	4	8	no	—
286	C₂×C₄×C₁₉	—	8	8	no	—
287	C₂×C₄×C₁₉	—	8	4	no	—
288	C₂×C₄×C₁₉	#121	1	4	yes	—
289	C₂×C₄×C₁₉	#121	1	8	yes	—
290	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
291	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
292	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
293	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
294	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
295	C₂×C₄×C₁₉	C₂²×D₄	1	4	yes	—
296	C₂×C₄×C₁₉	C₂×#41	1	2	yes	—
297	C₂×C₄×C₁₉	C₂×#41	1	4	yes	—
298	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
299	C₈×C₁₉	—	2	2	no	—
300	C₈×C₁₉	—	2	2	no	—
301	C₈×C₁₉	—	2	4	no	—
302	C₂²×AGL(1,ℤ/8)	C₂×C₁₉	1	1	yes	characteristic, complemented
303	C₂²×#135	C₂×C₁₉	1	1	yes	characteristic, complemented
304	C₂×#535	C₂×C₁₉	1	1	yes	characteristic, complemented
305	C₂×#520	C₂×C₁₉	1	1	yes	characteristic, complemented
306	#3045	C₂×C₁₉	1	16	yes	direct product factor
307	C₂×#464	C₂×C₁₉	1	2	yes	complemented
308	C₂×#460	C₂×C₁₉	1	2	yes	complemented
309	C₂×#463	C₂×C₁₉	1	2	yes	complemented
310	C₂×#459	C₂×C₁₉	1	2	yes	complemented
311	C₂×#424	C₂×C₁₉	1	1	yes	characteristic, complemented
312	C₂×#417	C₂×C₁₉	1	1	yes	characteristic, complemented
313	C₂²×#102	C₂×C₁₉	1	1	yes	characteristic, complemented
314	C₂²×C₁₉	—	2	8	no	—
315	C₂²×C₁₉	—	2	2	no	—
316	C₂²×C₁₉	—	2	2	no	—
317	C₂²×C₁₉	—	2	4	no	—
318	C₂²×C₁₉	—	4	8	no	—
319	C₂²×C₁₉	—	4	2	no	—
320	C₂²×C₁₉	—	4	2	no	—
321	C₂²×C₁₉	—	4	2	no	—
322	C₂²×C₁₉	—	4	4	no	—
323	C₂²×C₁₉	—	4	2	no	—
324	C₂²×C₁₉	—	4	4	no	—
325	C₂²×C₁₉	—	4	2	no	—
326	C₂²×C₁₉	—	4	4	no	—
327	C₂²×C₁₉	—	8	16	no	—
328	C₂²×C₁₉	—	8	4	no	—
329	C₂²×C₁₉	—	8	8	no	—
330	C₂²×C₁₉	C₂×#121	1	4	yes	—
331	C₂²×C₁₉	C₂×#121	1	2	yes	—
332	C₂²×C₁₉	#576	1	2	yes	—
333	C₂²×C₁₉	#577	1	2	yes	—
334	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
335	C₄×C₁₉	—	2	4	no	—
336	C₄×C₁₉	—	2	4	no	—
337	C₄×C₁₉	—	2	4	no	—
338	C₄×C₁₉	—	4	2	no	—
339	C₄×C₁₉	—	4	4	no	—
340	C₄×C₁₉	C₂×#121	1	4	yes	—
341	C₄×C₁₉	C₂×#121	1	2	yes	—
342	C₄×C₁₉	C₂³×D₄	1	1	yes	characteristic
343	C₄×C₁₉	C₂²×#41	1	1	yes	characteristic
344	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
345	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
346	C₂³×D₄	C₂²×C₁₉	1	1	yes	characteristic
347	C₂×AGL(1,ℤ/8)	—	2	8	no	—
348	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	8	yes	complemented
349	C₂×#135	—	2	8	no	—
350	C₂×#135	C₂²×C₁₉	1	8	yes	complemented
351	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
352	C₂²×SD₁₆	C₂²×C₁₉	1	2	yes	—
353	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
354	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
355	C₂²×D₈	C₂²×C₁₉	1	2	yes	—
356	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
357	C₂²×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
358	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic
359	#535	—	2	4	no	—
360	#535	C₂²×C₁₉	1	8	yes	complemented
361	C₂×#127	C₂²×C₁₉	1	2	yes	—
362	C₂×#124	C₂²×C₁₉	1	2	yes	—
363	C₂×#121	—	2	1	no	—
364	C₂×#121	—	2	1	no	—
365	C₂×#120	—	2	2	no	—
366	#520	—	2	4	no	—
367	#520	C₂²×C₁₉	1	8	yes	complemented
368	C₂×C₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
369	C₂×C₄×D₄	—	2	2	no	—
370	C₂×C₄×D₄	C₂²×C₁₉	1	2	yes	complemented
371	C₂×#117	—	2	1	no	—
372	C₂×#117	C₂²×C₁₉	1	1	yes	characteristic
373	C₂²×C₄⋊C₄	—	2	1	no	—
374	C₂²×C₄⋊C₄	C₂²×C₁₉	1	1	yes	characteristic
375	#464	C₂²×C₁₉	1	16	yes	complemented
376	#463	C₂²×C₁₉	1	16	yes	complemented
377	#460	C₂²×C₁₉	1	16	yes	complemented
378	#459	C₂²×C₁₉	1	16	yes	complemented
379	#424	C₂²×C₁₉	1	8	yes	complemented
380	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	complemented
381	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	complemented
382	#417	C₂²×C₁₉	1	8	yes	complemented
383	C₂×#103	C₂²×C₁₉	1	2	yes	complemented
384	C₂×#102	C₂²×C₁₉	1	2	yes	—
385	C₂×#102	C₂²×C₁₉	1	2	yes	—
386	C₂×#102	C₂²×C₁₉	1	8	yes	complemented
387	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
388	C₂×C₁₉	—	2	4	no	—
389	C₂×C₁₉	—	4	4	no	—
390	C₂×C₁₉	—	8	2	no	—
391	C₂×C₁₉	—	8	4	no	—
392	C₂×C₁₉	#3045	1	4	yes	direct product factor
393	C₂×C₁₉	C₂²×#121	1	1	yes	characteristic
394	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
395	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
396	C₂⁵	—	2	1	no	—
397	C₂×#41	—	2	2	no	—
398	C₂×#41	—	2	2	no	—
399	C₂×#41	—	2	4	no	—
400	C₂×#41	—	2	4	no	—
401	C₂×#41	—	2	4	no	—
402	C₂×#41	D₄×C₁₉	1	8	yes	complemented
403	C₂×#41	C₂³×C₁₉	1	4	yes	—
404	C₂×#41	C₂³×C₁₉	1	4	yes	—
405	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
406	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
407	C₂²×D₄	—	2	1	no	—
408	C₂²×D₄	—	2	1	no	—
409	C₂²×D₄	—	2	4	no	—
410	C₂²×D₄	—	2	1	no	—
411	C₂²×D₄	—	2	2	no	—
412	C₂²×D₄	—	2	2	no	—
413	C₂²×D₄	—	2	2	no	—
414	C₂²×D₄	—	2	4	no	—
415	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
416	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
417	C₂²×D₄	C₂³×C₁₉	1	4	yes	—
418	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
419	C₂³×C₄	—	2	1	no	—
420	C₂³×C₄	—	2	1	no	—
421	C₂³×C₄	—	2	1	no	—
422	C₂³×C₄	—	2	2	no	—
423	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
424	AGL(1,ℤ/8)	—	2	32	no	—
425	#135	—	2	32	no	—
426	C₂×Q₁₆	—	2	4	no	—
427	C₂×Q₁₆	C₂³×C₁₉	1	4	yes	complemented
428	C₂×SD₁₆	—	2	8	no	—
429	C₂×SD₁₆	—	2	4	no	—
430	C₂×SD₁₆	—	2	4	no	—
431	C₂×SD₁₆	C₂³×C₁₉	1	8	yes	—
432	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	complemented
433	C₂×SD₁₆	C₂³×C₁₉	1	4	yes	complemented
434	C₂×D₈	—	2	8	no	—
435	C₂×D₈	—	2	4	no	—
436	C₂×D₈	C₂³×C₁₉	1	8	yes	—
437	C₂×D₈	C₂³×C₁₉	1	4	yes	complemented
438	C₂×M₁₆	—	2	4	no	—
439	C₂×M₁₆	C₂³×C₁₉	1	4	yes	—
440	C₂²×C₈	—	2	4	no	—
441	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
442	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
443	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
444	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
445	#127	—	2	4	no	—
446	#127	C₂³×C₁₉	1	8	yes	—
447	#124	—	2	4	no	—
448	#124	C₂³×C₁₉	1	8	yes	—
449	#121	—	2	8	no	—
450	#121	—	2	8	no	—
451	#120	—	2	16	no	—
452	C₄×Q₈	—	2	4	no	—
453	C₄×Q₈	C₂³×C₁₉	1	8	yes	complemented
454	C₄×D₄	—	2	16	no	—
455	C₄×D₄	—	2	4	no	—
456	C₄×D₄	C₂³×C₁₉	1	8	yes	complemented
457	#117	—	2	8	no	—
458	#117	D₄×C₁₉	1	4	yes	—
459	#117	C₂³×C₁₉	1	4	yes	—
460	C₂×C₄⋊C₄	—	2	1	no	—
461	C₂×C₄⋊C₄	—	2	2	no	—
462	C₂×C₄⋊C₄	—	2	2	no	—
463	C₂×C₄⋊C₄	—	2	8	no	—
464	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
465	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
466	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
467	C₂×C₄⋊C₄	C₂³×C₁₉	1	4	yes	—
468	C₂×C₂²⋊C₄	—	2	2	no	—
469	C₂×C₂²⋊C₄	—	2	2	no	—
470	C₂×C₂²⋊C₄	—	2	2	no	—
471	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
472	C₂×C₄²	—	2	2	no	—
473	C₂×C₄²	C₂³×C₁₉	1	2	yes	—
474	C₄⋊C₈	C₂³×C₁₉	1	8	yes	complemented
475	C₄⋊C₈	C₂³×C₁₉	1	8	yes	complemented
476	#103	C₂³×C₁₉	1	8	yes	complemented
477	#102	C₂³×C₁₉	1	8	yes	—
478	#102	C₂³×C₁₉	1	8	yes	—
479	#102	C₂³×C₁₉	1	8	yes	complemented
480	C₁₉	C₂×#3045	1	1	yes	characteristic, direct product factor, Sylow
481	C₂⁴	—	2	1	no	—
482	C₂⁴	—	2	2	no	—
483	C₂⁴	—	2	1	no	—
484	C₂⁴	—	2	4	no	—
485	C₂⁴	—	4	4	no	—
486	C₂⁴	—	8	2	no	—
487	C₂⁴	—	8	2	no	—
488	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
489	#41	—	2	16	no	—
490	#41	—	2	8	no	—
491	#41	—	2	8	no	—
492	#41	—	2	8	no	—
493	#41	—	4	8	no	—
494	#41	C₂×D₄×C₁₉	1	16	yes	complemented
495	C₂×Q₈	—	2	1	no	—
496	C₂×Q₈	—	2	1	no	—
497	C₂×Q₈	—	2	2	no	—
498	C₂×Q₈	—	2	2	no	—
499	C₂×Q₈	—	2	2	no	—
500	C₂×Q₈	C₂×D₄×C₁₉	1	4	yes	—
501	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
502	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
503	C₂×D₄	—	2	8	no	—
504	C₂×D₄	—	2	4	no	—
505	C₂×D₄	—	2	4	no	—
506	C₂×D₄	—	2	1	no	—
507	C₂×D₄	—	2	4	no	—
508	C₂×D₄	—	2	2	no	—
509	C₂×D₄	—	2	8	no	—
510	C₂×D₄	—	2	4	no	—
511	C₂×D₄	—	2	2	no	—
512	C₂×D₄	—	2	1	no	—
513	C₂×D₄	—	2	8	no	—
514	C₂×D₄	—	2	8	no	—
515	C₂×D₄	—	2	2	no	—
516	C₂×D₄	—	2	4	no	—
517	C₂×D₄	—	2	8	no	—
518	C₂×D₄	—	2	2	no	—
519	C₂×D₄	—	4	4	no	—
520	C₂×D₄	—	4	4	no	—
521	C₂×D₄	—	4	8	no	—
522	C₂×D₄	—	8	4	no	—
523	C₂×D₄	—	8	4	no	—
524	C₂×D₄	C₂×D₄×C₁₉	1	4	yes	—
525	C₂×D₄	C₂⁴×C₁₉	1	4	yes	—
526	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
527	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
528	C₂²×C₄	—	2	1	no	—
529	C₂²×C₄	—	2	8	no	—
530	C₂²×C₄	—	2	4	no	—
531	C₂²×C₄	—	2	2	no	—
532	C₂²×C₄	—	2	1	no	—
533	C₂²×C₄	—	2	4	no	—
534	C₂²×C₄	—	2	4	no	—
535	C₂²×C₄	—	2	8	no	—
536	C₂²×C₄	—	4	4	no	—
537	C₂²×C₄	—	8	4	no	—
538	C₂²×C₄	—	8	2	no	—
539	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
540	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
541	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
542	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
543	C₂²×C₄	C₂×D₄×C₁₉	1	4	yes	—
544	C₂²×C₄	#41×C₁₉	1	4	yes	—
545	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
546	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
547	Q₁₆	—	2	8	no	—
548	SD₁₆	—	2	16	no	—
549	SD₁₆	—	2	8	no	—
550	SD₁₆	—	2	8	no	—
551	D₈	—	2	16	no	—
552	D₈	—	2	8	no	—
553	M₁₆	—	2	8	no	—
554	C₂×C₈	—	2	2	no	—
555	C₂×C₈	—	2	2	no	—
556	C₂×C₈	—	2	8	no	—
557	C₂×C₈	—	2	4	no	—
558	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
559	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
560	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
561	C₄⋊C₄	—	2	4	no	—
562	C₄⋊C₄	—	2	8	no	—
563	C₄⋊C₄	—	2	2	no	—
564	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
565	C₄⋊C₄	C₂×D₄×C₁₉	1	4	yes	—
566	C₄⋊C₄	C₂⁴×C₁₉	1	4	yes	—
567	C₂²⋊C₄	—	2	8	no	—
568	C₂²⋊C₄	—	2	8	no	—
569	C₂²⋊C₄	—	2	8	no	—
570	C₂²⋊C₄	C₂×D₄×C₁₉	1	8	yes	—
571	C₄²	—	2	8	no	—
572	C₄²	C₂×D₄×C₁₉	1	4	yes	—
573	C₄²	C₂⁴×C₁₉	1	4	yes	—
574	C₂³	—	2	2	no	—
575	C₂³	—	2	2	no	—
576	C₂³	—	2	4	no	—
577	C₂³	—	2	2	no	—
578	C₂³	—	2	4	no	—
579	C₂³	—	2	2	no	—
580	C₂³	—	4	2	no	—
581	C₂³	—	4	2	no	—
582	C₂³	—	4	2	no	—
583	C₂³	—	4	8	no	—
584	C₂³	—	4	4	no	—
585	C₂³	—	4	2	no	—
586	C₂³	—	4	4	no	—
587	C₂³	—	4	2	no	—
588	C₂³	—	4	4	no	—
589	C₂³	—	8	4	no	—
590	C₂³	—	8	4	no	—
591	C₂³	—	8	16	no	—
592	C₂³	C₁₉×#121	1	4	yes	—
593	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
594	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
595	Q₈	—	2	4	no	—
596	Q₈	—	2	2	no	—
597	Q₈	—	2	2	no	—
598	Q₈	—	2	2	no	—
599	Q₈	—	4	2	no	—
600	Q₈	C₂²×D₄×C₁₉	1	4	yes	—
601	D₄	—	2	16	no	—
602	D₄	—	2	4	no	—
603	D₄	—	2	4	no	—
604	D₄	—	2	2	no	—
605	D₄	—	2	2	no	—
606	D₄	—	2	4	no	—
607	D₄	—	2	2	no	—
608	D₄	—	4	8	no	—
609	D₄	—	4	8	no	—
610	D₄	—	4	4	no	—
611	D₄	—	4	2	no	—
612	D₄	—	8	8	no	—
613	D₄	—	8	8	no	—
614	D₄	C₂²×D₄×C₁₉	1	4	yes	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	4	no	—
617	C₂×C₄	—	2	4	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	16	no	—
620	C₂×C₄	—	2	4	no	—
621	C₂×C₄	—	2	2	no	—
622	C₂×C₄	—	4	2	no	—
623	C₂×C₄	—	4	4	no	—
624	C₂×C₄	—	4	8	no	—
625	C₂×C₄	—	8	8	no	—
626	C₂×C₄	—	8	4	no	—
627	C₂×C₄	C₁₉×#121	1	4	yes	—
628	C₂×C₄	C₁₉×#121	1	8	yes	—
629	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
630	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
631	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
632	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
633	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
634	C₂×C₄	C₂²×D₄×C₁₉	1	4	yes	—
635	C₂×C₄	C₂×#41×C₁₉	1	2	yes	—
636	C₂×C₄	C₂×#41×C₁₉	1	4	yes	—
637	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
638	C₈	—	2	2	no	—
639	C₈	—	2	2	no	—
640	C₈	—	2	4	no	—
641	C₂²	—	2	8	no	—
642	C₂²	—	2	2	no	—
643	C₂²	—	2	2	no	—
644	C₂²	—	2	4	no	—
645	C₂²	—	4	8	no	—
646	C₂²	—	4	2	no	—
647	C₂²	—	4	2	no	—
648	C₂²	—	4	2	no	—
649	C₂²	—	4	4	no	—
650	C₂²	—	4	2	no	—
651	C₂²	—	4	4	no	—
652	C₂²	—	4	2	no	—
653	C₂²	—	4	4	no	—
654	C₂²	—	8	16	no	—
655	C₂²	—	8	8	no	—
656	C₂²	—	8	4	no	—
657	C₂²	C₂×C₁₉×#121	1	4	yes	—
658	C₂²	C₂×C₁₉×#121	1	2	yes	—
659	C₂²	C₁₉×#576	1	2	yes	—
660	C₂²	C₁₉×#577	1	2	yes	—
661	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
662	C₄	—	2	4	no	—
663	C₄	—	2	4	no	—
664	C₄	—	2	4	no	—
665	C₄	—	4	2	no	—
666	C₄	—	4	4	no	—
667	C₄	C₂×C₁₉×#121	1	4	yes	—
668	C₄	C₂×C₁₉×#121	1	2	yes	—
669	C₄	C₂³×D₄×C₁₉	1	1	yes	characteristic
670	C₄	C₂²×#41×C₁₉	1	1	yes	characteristic
671	C₂	—	2	4	no	—
672	C₂	—	4	4	no	—
673	C₂	—	8	4	no	—
674	C₂	—	8	2	no	—
675	C₂	C₁₉×#3045	1	4	yes	direct product factor
676	C₂	C₂²×C₁₉×#121	1	1	yes	characteristic
677	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
678	C₂	C₂×C₁₉×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₉ ◁ C₂×C₁₉×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂²×C₁₉×AGL(1,ℤ/8)	C₂	semidirect
2. C₂²×C₁₉×#135	C₂	semidirect
3. C₂×C₁₉×#535	C₂	semidirect
4. C₂×C₁₉×#520	C₂	semidirect
5. C₁₉×#3045	C₂	direct (N × H)
6. C₂×C₁₉×#464	C₂	semidirect
7. C₂×C₁₉×#460	C₂	semidirect
8. C₂×C₁₉×#463	C₂	semidirect
9. C₂×C₁₉×#459	C₂	semidirect
10. C₂×C₁₉×#424	C₂	semidirect
11. C₂×C₁₉×#417	C₂	semidirect
12. C₂²×C₁₉×#102	C₂	semidirect
17. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
19. C₂×C₁₉×#135	C₂²	semidirect
20. C₂²×Q₁₆×C₁₉	C₂²	semidirect
22. C₂²×SD₁₆×C₁₉	C₂²	semidirect
23. C₂²×SD₁₆×C₁₉	C₂²	semidirect
25. C₂²×D₈×C₁₉	C₂²	semidirect
29. C₁₉×#535	C₂²	semidirect
36. C₁₉×#520	C₂²	semidirect
37. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
39. C₂×C₄×D₄×C₁₉	C₂²	semidirect
44. C₁₉×#464	C₂²	semidirect
45. C₁₉×#463	C₂²	semidirect
46. C₁₉×#460	C₂²	semidirect
47. C₁₉×#459	C₂²	semidirect
48. C₁₉×#424	C₂²	semidirect
49. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
50. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
51. C₁₉×#417	C₂²	semidirect
52. C₂×C₁₉×#103	C₂²	semidirect
55. C₂×C₁₉×#102	C₂²	semidirect
56. C₂×C₁₉×#102	C₂²	semidirect
63. C₂×#41×C₁₉	D₄	semidirect
88. C₂×Q₁₆×C₁₉	C₂³	semidirect
93. C₂×SD₁₆×C₁₉	C₂³	semidirect
94. C₂×SD₁₆×C₁₉	C₂³	semidirect
98. C₂×D₈×C₁₉	C₂³	semidirect
114. C₄×Q₈×C₁₉	C₂³	semidirect
117. C₄×D₄×C₁₉	C₂³	semidirect
135. C₁₉×C₄⋊C₈	C₂³	semidirect
136. C₁₉×C₄⋊C₈	C₂³	semidirect
137. C₁₉×#103	C₂³	semidirect
140. C₁₉×#102	C₂³	semidirect
154. #41×C₁₉	C₂×D₄	semidirect
234. C₂×#3045	C₁₉	direct (N × H)
302. C₂²×AGL(1,ℤ/8)	C₂×C₁₉	semidirect
303. C₂²×#135	C₂×C₁₉	semidirect
304. C₂×#535	C₂×C₁₉	semidirect
305. C₂×#520	C₂×C₁₉	semidirect
306. #3045	C₂×C₁₉	direct (N × H)
307. C₂×#464	C₂×C₁₉	semidirect
308. C₂×#460	C₂×C₁₉	semidirect
309. C₂×#463	C₂×C₁₉	semidirect
310. C₂×#459	C₂×C₁₉	semidirect
311. C₂×#424	C₂×C₁₉	semidirect
312. C₂×#417	C₂×C₁₉	semidirect
313. C₂²×#102	C₂×C₁₉	semidirect
348. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
350. C₂×#135	C₂²×C₁₉	semidirect
351. C₂²×Q₁₆	C₂²×C₁₉	semidirect
353. C₂²×SD₁₆	C₂²×C₁₉	semidirect
354. C₂²×SD₁₆	C₂²×C₁₉	semidirect
356. C₂²×D₈	C₂²×C₁₉	semidirect
360. #535	C₂²×C₁₉	semidirect
367. #520	C₂²×C₁₉	semidirect
368. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
370. C₂×C₄×D₄	C₂²×C₁₉	semidirect
375. #464	C₂²×C₁₉	semidirect
376. #463	C₂²×C₁₉	semidirect
377. #460	C₂²×C₁₉	semidirect
378. #459	C₂²×C₁₉	semidirect
379. #424	C₂²×C₁₉	semidirect
380. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
381. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
382. #417	C₂²×C₁₉	semidirect
383. C₂×#103	C₂²×C₁₉	semidirect
386. C₂×#102	C₂²×C₁₉	semidirect
387. C₂×#102	C₂²×C₁₉	semidirect
392. C₂×C₁₉	#3045	direct (N × H)
402. C₂×#41	D₄×C₁₉	semidirect
427. C₂×Q₁₆	C₂³×C₁₉	semidirect
432. C₂×SD₁₆	C₂³×C₁₉	semidirect
433. C₂×SD₁₆	C₂³×C₁₉	semidirect
437. C₂×D₈	C₂³×C₁₉	semidirect
453. C₄×Q₈	C₂³×C₁₉	semidirect
456. C₄×D₄	C₂³×C₁₉	semidirect
474. C₄⋊C₈	C₂³×C₁₉	semidirect
475. C₄⋊C₈	C₂³×C₁₉	semidirect
476. #103	C₂³×C₁₉	semidirect
479. #102	C₂³×C₁₉	semidirect
480. C₁₉	C₂×#3045	direct (N × H)
494. #41	C₂×D₄×C₁₉	semidirect
675. C₂	C₁₉×#3045	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×AGL(1,ℤ/8)	2
C₂²×C₁₉×#135	2
C₂×C₁₉×#535	2
C₂×C₁₉×#520	2
C₁₉×#3045	2
C₂×C₁₉×#464	2
C₂×C₁₉×#460	2
C₂×C₁₉×#463	2
C₂×C₁₉×#459	2
C₂×C₁₉×#424	2
C₂×C₁₉×#417	2
C₂²×C₁₉×#102	2
C₂×#3045	19

Subgroups — C2×C19×#3045 #18066379

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₉×#3045 #18066379