Subgroups — C₁₉×#62278 #18068237

Order 4864.

1922 conjugacy classes of subgroups.

The subgroup lattice has 1054 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3542	C₂	1	2	yes	maximal, complemented
2	C₁₉×#3347	C₂	1	2	yes	maximal, complemented
3	C₁₉×#3343	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3305	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3297	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3296	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3294	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3268	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3264	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3262	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3259	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3203	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3199	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3194	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3062	C₂	1	2	yes	maximal, complemented
17	C₁₉×#3050	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₉×#466	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#2929	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
21	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
22	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic
23	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
24	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
25	C₁₉×#562	—	2	2	no	—
26	C₁₉×#560	—	2	2	no	—
27	C₁₉×#555	C₂²	1	2	yes	complemented
28	C₁₉×#553	C₂²	1	2	yes	complemented
29	C₁₉×#552	C₂²	1	2	yes	complemented
30	C₁₉×#551	—	2	2	no	—
31	C₁₉×#550	C₂²	1	2	yes	complemented
32	C₁₉×#547	C₂²	1	2	yes	—
33	C₁₉×#546	—	2	2	no	—
34	C₁₉×#546	C₂²	1	2	yes	—
35	C₁₉×#546	C₂²	1	2	yes	complemented
36	D₄²×C₁₉	C₂²	1	2	yes	complemented
37	C₁₉×#542	C₂²	1	2	yes	complemented
38	C₁₉×#540	—	2	2	no	—
39	C₁₉×#540	C₂²	1	2	yes	complemented
40	C₁₉×#538	—	2	2	no	—
41	C₁₉×#537	C₂²	1	2	yes	complemented
42	C₁₉×#535	—	2	2	no	—
43	C₁₉×#535	C₂²	1	2	yes	complemented
44	C₁₉×#534	—	2	2	no	—
45	C₁₉×#525	C₂²	1	1	yes	characteristic
46	C₁₉×#525	C₂²	1	2	yes	complemented
47	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
48	C₁₉×#501	C₂²	1	2	yes	complemented
49	C₁₉×#496	C₂²	1	2	yes	complemented
50	C₁₉×#488	C₂²	1	2	yes	complemented
51	C₁₉×#486	C₂²	1	2	yes	complemented
52	C₁₉×#484	C₂²	1	2	yes	complemented
53	C₁₉×#483	C₂²	1	2	yes	complemented
54	C₁₉×#482	C₂²	1	2	yes	complemented
55	C₁₉×#482	C₂²	1	2	yes	complemented
56	C₁₉×#482	C₂²	1	2	yes	complemented
57	C₁₉×#482	C₂²	1	2	yes	complemented
58	C₁₉×#480	C₂²	1	2	yes	complemented
59	C₁₉×#480	C₂²	1	2	yes	complemented
60	C₁₉×#478	C₂²	1	2	yes	complemented
61	C₁₉×#478	C₂²	1	2	yes	complemented
62	C₁₉×#477	C₂²	1	2	yes	complemented
63	C₁₉×#474	C₂²	1	2	yes	complemented
64	C₁₉×#469	C₂²	1	2	yes	complemented
65	C₁₉×#469	C₂²	1	2	yes	complemented
66	C₁₉×#469	C₂²	1	2	yes	complemented
67	C₁₉×#468	C₂²	1	2	yes	complemented
68	C₁₉×#468	C₂²	1	2	yes	complemented
69	C₁₉×#468	C₂²	1	2	yes	complemented
70	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
71	C₁₉×#467	C₂²	1	1	yes	characteristic, complemented
72	C₁₉×#466	C₂²	1	1	yes	characteristic
73	C₁₉×#466	C₂²	1	1	yes	characteristic
74	C₁₉×#466	C₂²	1	1	yes	characteristic
75	C₁₉×#466	C₂²	1	2	yes	complemented
76	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
77	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#466	C₂²	1	2	yes	complemented
79	C₁₉×#466	C₂²	1	2	yes	complemented
80	C₁₉×#466	C₂²	1	1	yes	characteristic, complemented
81	C₁₉×#465	C₂²	1	2	yes	complemented
82	C₁₉×#465	C₂²	1	2	yes	complemented
83	C₁₉×#465	C₂²	1	2	yes	complemented
84	C₁₉×#464	C₂²	1	2	yes	complemented
85	C₁₉×#463	C₂²	1	2	yes	complemented
86	C₁₉×#459	C₂²	1	2	yes	complemented
87	C₁₉×#459	C₂²	1	2	yes	complemented
88	C₁₉×#452	C₂²	1	2	yes	complemented
89	C₁₉×#450	C₂²	1	2	yes	complemented
90	C₁₉×#449	C₂²	1	2	yes	complemented
91	C₁₉×#449	C₂²	1	2	yes	complemented
92	C₁₉×#449	C₂²	1	2	yes	complemented
93	C₁₉×#447	C₂²	1	2	yes	—
94	C₁₉×#447	C₂²	1	2	yes	complemented
95	C₁₉×#447	C₂²	1	2	yes	complemented
96	C₁₉×#442	C₂²	1	2	yes	complemented
97	C₁₉×#440	C₂²	1	2	yes	complemented
98	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
99	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
100	C₁₉×#435	C₂²	1	2	yes	complemented
101	C₁₉×#435	C₂²	1	2	yes	complemented
102	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
103	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
104	C₁₉×#428	C₂²	1	2	yes	complemented
105	C₁₉×#427	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
107	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
108	C₁₉×#416	C₂²	1	2	yes	complemented
109	C₁₉×#416	C₂²	1	2	yes	complemented
110	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
111	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
112	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
114	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
115	C₂×#41×C₁₉	—	2	2	no	—
116	C₂×#41×C₁₉	C₂³	1	2	yes	—
117	C₂×#41×C₁₉	C₂³	1	2	yes	—
118	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
119	C₂²×D₄×C₁₉	—	2	2	no	—
120	C₂²×D₄×C₁₉	—	2	2	no	—
121	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
123	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
124	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
125	C₁₉×#135	—	4	2	no	—
126	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
127	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
128	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
129	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
130	C₂×D₈×C₁₉	—	4	2	no	—
131	C₂×D₈×C₁₉	C₂³	1	2	yes	—
132	C₂×D₈×C₁₉	C₂³	1	2	yes	—
133	C₂×D₈×C₁₉	C₂³	1	2	yes	—
134	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
135	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
136	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
137	C₁₉×#131	—	4	2	no	—
138	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
139	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
140	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
141	C₂²×C₈×C₁₉	—	4	2	no	—
142	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
143	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
146	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
147	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
148	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
149	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
150	C₁₉×#127	—	2	2	no	—
151	C₁₉×#127	—	2	2	no	—
152	C₁₉×#127	C₂³	1	2	yes	—
153	C₁₉×#126	—	2	2	no	—
154	C₁₉×#126	—	2	2	no	—
155	C₁₉×#126	—	2	2	no	—
156	C₁₉×#125	—	2	2	no	—
157	C₁₉×#125	C₂³	1	2	yes	—
158	C₁₉×#124	—	2	2	no	—
159	C₁₉×#124	—	2	2	no	—
160	C₁₉×#124	—	2	2	no	—
161	C₁₉×#124	—	2	2	no	—
162	C₁₉×#124	C₂³	1	2	yes	—
163	C₁₉×#123	—	2	2	no	—
164	C₁₉×#123	—	2	2	no	—
165	C₁₉×#123	—	2	2	no	—
166	C₁₉×#123	—	2	2	no	—
167	C₁₉×#123	—	2	2	no	—
168	C₁₉×#123	—	2	2	no	—
169	C₁₉×#123	—	2	2	no	—
170	C₁₉×#123	—	2	2	no	—
171	C₁₉×#123	—	2	2	no	—
172	C₁₉×#123	—	2	2	no	—
173	C₁₉×#123	D₄	1	2	yes	—
174	C₁₉×C₂²⋊Q₈	—	2	2	no	—
175	C₁₉×C₂²⋊Q₈	—	2	2	no	—
176	C₁₉×C₂²⋊Q₈	—	2	2	no	—
177	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
178	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
179	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
180	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
181	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
182	C₁₉×#121	—	2	2	no	—
183	C₁₉×#121	—	2	2	no	—
184	C₁₉×#121	—	2	2	no	—
185	C₁₉×#121	—	2	2	no	—
186	C₁₉×#121	—	2	2	no	—
187	C₁₉×#121	—	2	2	no	—
188	C₁₉×#121	—	2	2	no	—
189	C₁₉×#121	—	2	2	no	—
190	C₁₉×#121	—	2	2	no	—
191	C₁₉×#121	—	2	2	no	—
192	C₁₉×#121	—	2	2	no	—
193	C₁₉×#121	—	2	2	no	—
194	C₁₉×#121	—	2	2	no	—
195	C₁₉×#121	—	2	2	no	—
196	C₁₉×#121	D₄	1	1	yes	characteristic
197	C₁₉×#121	D₄	1	1	yes	characteristic
198	C₁₉×#121	C₂³	1	2	yes	—
199	C₁₉×#121	C₂³	1	2	yes	—
200	C₁₉×#121	C₂³	1	2	yes	—
201	C₁₉×#121	C₂³	1	2	yes	—
202	C₁₉×#121	C₂³	1	2	yes	—
203	C₁₉×#121	C₂³	1	2	yes	—
204	C₁₉×#121	C₂³	1	2	yes	—
205	C₁₉×#121	C₂³	1	2	yes	—
206	C₁₉×#121	C₂³	1	2	yes	—
207	C₁₉×#120	—	2	2	no	—
208	C₁₉×#120	—	2	2	no	—
209	C₁₉×#120	—	2	2	no	—
210	C₁₉×#120	—	2	2	no	—
211	C₁₉×#120	—	2	2	no	—
212	C₁₉×#120	—	2	2	no	—
213	C₁₉×#120	—	2	2	no	—
214	C₁₉×#120	D₄	1	2	yes	—
215	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
216	C₄×D₄×C₁₉	—	2	2	no	—
217	C₄×D₄×C₁₉	—	2	2	no	—
218	C₄×D₄×C₁₉	—	2	2	no	—
219	C₄×D₄×C₁₉	—	2	2	no	—
220	C₄×D₄×C₁₉	C₂³	1	2	yes	—
221	C₄×D₄×C₁₉	C₂³	1	2	yes	—
222	C₄×D₄×C₁₉	C₂³	1	2	yes	—
223	C₄×D₄×C₁₉	C₂³	1	2	yes	—
224	C₄×D₄×C₁₉	C₂³	1	2	yes	—
225	C₁₉×#117	—	2	2	no	—
226	C₁₉×#117	—	2	2	no	—
227	C₁₉×#117	C₂³	1	2	yes	—
228	C₁₉×#117	C₂³	1	2	yes	—
229	C₁₉×#117	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
231	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
232	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
233	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
234	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
235	C₁₉×#107	C₂³	1	2	yes	—
236	C₁₉×#107	C₂³	1	1	yes	characteristic
237	C₁₉×#107	C₂³	1	1	yes	characteristic
238	C₁₉×#107	C₂³	1	1	yes	characteristic
239	C₁₉×#107	C₂³	1	1	yes	characteristic
240	C₁₉×#107	C₂³	1	2	yes	—
241	C₁₉×#107	C₂³	1	2	yes	—
242	C₁₉×#106	C₂³	1	2	yes	—
243	C₁₉×#106	C₂³	1	2	yes	—
244	C₁₉×#106	C₂³	1	2	yes	—
245	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
246	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
247	C₁₉×#103	C₂³	1	2	yes	—
248	C₁₉×#103	C₂³	1	2	yes	—
249	C₁₉×#103	C₂³	1	2	yes	—
250	C₁₉×#103	C₂³	1	2	yes	—
251	C₁₉×#102	C₂³	1	2	yes	—
252	C₁₉×#102	C₂³	1	2	yes	—
253	C₁₉×#102	C₂³	1	2	yes	—
254	C₁₉×#102	C₂³	1	2	yes	—
255	C₁₉×#102	C₂³	1	2	yes	—
256	C₁₉×#102	C₂³	1	2	yes	—
257	C₁₉×#102	C₂³	1	2	yes	—
258	C₁₉×#102	C₂³	1	2	yes	—
259	C₁₉×#102	C₂³	1	2	yes	—
260	C₁₉×#102	C₂³	1	2	yes	—
261	C₁₉×#102	C₂³	1	2	yes	—
262	C₁₉×#102	C₂³	1	2	yes	—
263	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
264	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
265	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
266	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
267	C₁₉×#97	C₂³	1	2	yes	—
268	C₄×C₈×C₁₉	C₂³	1	2	yes	—
269	C₂⁴×C₁₉	—	2	2	no	—
270	C₂⁴×C₁₉	—	2	2	no	—
271	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
272	#41×C₁₉	—	4	1	no	—
273	#41×C₁₉	—	4	1	no	—
274	#41×C₁₉	—	4	2	no	—
275	#41×C₁₉	—	4	2	no	—
276	#41×C₁₉	—	4	2	no	—
277	#41×C₁₉	—	4	2	no	—
278	#41×C₁₉	—	8	4	no	—
279	C₂×Q₈×C₁₉	—	2	2	no	—
280	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
281	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
282	C₂×D₄×C₁₉	—	2	2	no	—
283	C₂×D₄×C₁₉	—	2	2	no	—
284	C₂×D₄×C₁₉	—	2	2	no	—
285	C₂×D₄×C₁₉	—	2	2	no	—
286	C₂×D₄×C₁₉	—	2	2	no	—
287	C₂×D₄×C₁₉	—	2	2	no	—
288	C₂×D₄×C₁₉	—	2	2	no	—
289	C₂×D₄×C₁₉	—	2	2	no	—
290	C₂×D₄×C₁₉	—	2	2	no	—
291	C₂×D₄×C₁₉	—	2	2	no	—
292	C₂×D₄×C₁₉	—	2	2	no	—
293	C₂×D₄×C₁₉	—	2	2	no	—
294	C₂×D₄×C₁₉	—	2	2	no	—
295	C₂×D₄×C₁₉	—	2	2	no	—
296	C₂×D₄×C₁₉	—	2	2	no	—
297	C₂×D₄×C₁₉	—	4	2	no	—
298	C₂×D₄×C₁₉	—	4	2	no	—
299	C₂×D₄×C₁₉	—	4	2	no	—
300	C₂×D₄×C₁₉	—	4	2	no	—
301	C₂×D₄×C₁₉	—	8	4	no	—
302	C₂×D₄×C₁₉	—	8	4	no	—
303	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
304	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
305	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
306	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
307	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
308	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
309	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₁₉	—	2	2	no	—
311	C₂²×C₄×C₁₉	—	2	2	no	—
312	C₂²×C₄×C₁₉	—	2	2	no	—
313	C₂²×C₄×C₁₉	—	2	2	no	—
314	C₂²×C₄×C₁₉	—	2	2	no	—
315	C₂²×C₄×C₁₉	—	2	2	no	—
316	C₂²×C₄×C₁₉	—	2	2	no	—
317	C₂²×C₄×C₁₉	—	4	1	no	—
318	C₂²×C₄×C₁₉	—	4	1	no	—
319	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
320	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
321	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
322	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
326	Q₁₆×C₁₉	—	4	1	no	—
327	SD₁₆×C₁₉	—	2	4	no	—
328	SD₁₆×C₁₉	—	4	2	no	—
329	SD₁₆×C₁₉	—	4	2	no	—
330	D₈×C₁₉	—	2	4	no	—
331	D₈×C₁₉	—	4	1	no	—
332	D₈×C₁₉	—	4	1	no	—
333	D₈×C₁₉	—	4	2	no	—
334	D₈×C₁₉	—	4	1	no	—
335	D₈×C₁₉	—	4	2	no	—
336	M₁₆×C₁₉	—	2	4	no	—
337	M₁₆×C₁₉	—	4	1	no	—
338	M₁₆×C₁₉	—	4	1	no	—
339	C₂×C₈×C₁₉	—	2	2	no	—
340	C₂×C₈×C₁₉	—	2	2	no	—
341	C₂×C₈×C₁₉	—	2	2	no	—
342	C₂×C₈×C₁₉	—	4	1	no	—
343	C₂×C₈×C₁₉	—	4	1	no	—
344	C₂×C₈×C₁₉	—	4	1	no	—
345	C₂×C₈×C₁₉	—	4	2	no	—
346	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
347	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
348	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
349	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
350	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
351	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
352	C₄⋊C₄×C₁₉	—	2	2	no	—
353	C₄⋊C₄×C₁₉	—	2	2	no	—
354	C₄⋊C₄×C₁₉	—	2	2	no	—
355	C₄⋊C₄×C₁₉	—	2	2	no	—
356	C₄⋊C₄×C₁₉	—	2	2	no	—
357	C₄⋊C₄×C₁₉	—	2	2	no	—
358	C₄⋊C₄×C₁₉	—	2	2	no	—
359	C₄⋊C₄×C₁₉	—	2	2	no	—
360	C₄⋊C₄×C₁₉	—	2	2	no	—
361	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
362	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
363	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
364	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
365	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
366	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
367	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
368	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
369	C₂²⋊C₄×C₁₉	—	2	2	no	—
370	C₂²⋊C₄×C₁₉	—	2	2	no	—
371	C₂²⋊C₄×C₁₉	—	2	2	no	—
372	C₂²⋊C₄×C₁₉	—	2	2	no	—
373	C₂²⋊C₄×C₁₉	—	2	2	no	—
374	C₂²⋊C₄×C₁₉	—	2	2	no	—
375	C₂²⋊C₄×C₁₉	—	2	2	no	—
376	C₂²⋊C₄×C₁₉	—	2	2	no	—
377	C₂²⋊C₄×C₁₉	—	2	2	no	—
378	C₂²⋊C₄×C₁₉	—	2	2	no	—
379	C₂²⋊C₄×C₁₉	—	2	2	no	—
380	C₂²⋊C₄×C₁₉	—	2	2	no	—
381	C₂²⋊C₄×C₁₉	—	2	2	no	—
382	C₂²⋊C₄×C₁₉	—	2	2	no	—
383	C₂²⋊C₄×C₁₉	—	2	2	no	—
384	C₂²⋊C₄×C₁₉	—	2	2	no	—
385	C₂²⋊C₄×C₁₉	—	2	2	no	—
386	C₂²⋊C₄×C₁₉	—	2	2	no	—
387	C₂²⋊C₄×C₁₉	—	2	2	no	—
388	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
389	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
390	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
391	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
393	C₄²×C₁₉	—	2	2	no	—
394	C₄²×C₁₉	—	2	2	no	—
395	C₄²×C₁₉	—	2	2	no	—
396	C₄²×C₁₉	C₂⁴	1	2	yes	—
397	#62278	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
398	C₂³×C₁₉	—	2	2	no	—
399	C₂³×C₁₉	—	2	2	no	—
400	C₂³×C₁₉	—	2	2	no	—
401	C₂³×C₁₉	—	2	2	no	—
402	C₂³×C₁₉	—	4	1	no	—
403	C₂³×C₁₉	—	4	1	no	—
404	C₂³×C₁₉	—	4	4	no	—
405	C₂³×C₁₉	—	8	2	no	—
406	C₂³×C₁₉	—	8	2	no	—
407	C₂³×C₁₉	—	8	2	no	—
408	C₂³×C₁₉	—	8	2	no	—
409	C₂³×C₁₉	—	8	2	no	—
410	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
411	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
412	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
413	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
414	Q₈×C₁₉	—	2	2	no	—
415	Q₈×C₁₉	—	2	2	no	—
416	Q₈×C₁₉	—	4	1	no	—
417	Q₈×C₁₉	—	8	2	no	—
418	D₄×C₁₉	—	2	4	no	—
419	D₄×C₁₉	—	2	2	no	—
420	D₄×C₁₉	—	2	2	no	—
421	D₄×C₁₉	—	2	2	no	—
422	D₄×C₁₉	—	2	2	no	—
423	D₄×C₁₉	—	2	2	no	—
424	D₄×C₁₉	—	2	2	no	—
425	D₄×C₁₉	—	4	2	no	—
426	D₄×C₁₉	—	4	1	no	—
427	D₄×C₁₉	—	4	2	no	—
428	D₄×C₁₉	—	4	4	no	—
429	D₄×C₁₉	—	8	2	no	—
430	D₄×C₁₉	—	8	2	no	—
431	D₄×C₁₉	—	8	2	no	—
432	D₄×C₁₉	—	8	2	no	—
433	D₄×C₁₉	—	8	2	no	—
434	D₄×C₁₉	—	8	2	no	—
435	D₄×C₁₉	—	8	2	no	—
436	D₄×C₁₉	—	8	2	no	—
437	D₄×C₁₉	—	8	2	no	—
438	D₄×C₁₉	—	8	2	no	—
439	D₄×C₁₉	—	8	2	no	—
440	D₄×C₁₉	—	8	2	no	—
441	D₄×C₁₉	—	8	2	no	—
442	D₄×C₁₉	—	8	2	no	—
443	C₂×C₄×C₁₉	—	2	1	no	—
444	C₂×C₄×C₁₉	—	2	1	no	—
445	C₂×C₄×C₁₉	—	2	1	no	—
446	C₂×C₄×C₁₉	—	2	2	no	—
447	C₂×C₄×C₁₉	—	2	1	no	—
448	C₂×C₄×C₁₉	—	2	1	no	—
449	C₂×C₄×C₁₉	—	2	1	no	—
450	C₂×C₄×C₁₉	—	2	2	no	—
451	C₂×C₄×C₁₉	—	2	2	no	—
452	C₂×C₄×C₁₉	—	2	2	no	—
453	C₂×C₄×C₁₉	—	2	2	no	—
454	C₂×C₄×C₁₉	—	2	2	no	—
455	C₂×C₄×C₁₉	—	2	2	no	—
456	C₂×C₄×C₁₉	—	4	1	no	—
457	C₂×C₄×C₁₉	—	4	1	no	—
458	C₂×C₄×C₁₉	—	4	1	no	—
459	C₂×C₄×C₁₉	—	4	4	no	—
460	C₂×C₄×C₁₉	—	8	2	no	—
461	C₂×C₄×C₁₉	—	8	2	no	—
462	C₂×C₄×C₁₉	—	8	2	no	—
463	C₂×C₄×C₁₉	—	8	2	no	—
464	C₂×C₄×C₁₉	—	8	2	no	—
465	C₂×C₄×C₁₉	—	8	2	no	—
466	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
467	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
468	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
469	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
470	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
473	C₈×C₁₉	—	2	1	no	—
474	C₈×C₁₉	—	2	1	no	—
475	C₈×C₁₉	—	2	1	no	—
476	C₈×C₁₉	—	2	2	no	—
477	C₈×C₁₉	—	2	2	no	—
478	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
479	#3542	C₂×C₁₉	1	2	yes	complemented
480	#3347	C₂×C₁₉	1	2	yes	complemented
481	#3343	C₂×C₁₉	1	2	yes	complemented
482	#3305	C₂×C₁₉	1	2	yes	complemented
483	#3297	C₂×C₁₉	1	2	yes	complemented
484	#3296	C₂×C₁₉	1	2	yes	complemented
485	#3294	C₂×C₁₉	1	2	yes	complemented
486	#3268	C₂×C₁₉	1	2	yes	complemented
487	#3264	C₂×C₁₉	1	2	yes	complemented
488	#3262	C₂×C₁₉	1	1	yes	characteristic, complemented
489	#3259	C₂×C₁₉	1	1	yes	characteristic, complemented
490	#3203	C₂×C₁₉	1	1	yes	characteristic, complemented
491	#3199	C₂×C₁₉	1	1	yes	characteristic, complemented
492	#3194	C₂×C₁₉	1	2	yes	complemented
493	#3179	C₂×C₁₉	1	2	yes	complemented
494	#3062	C₂×C₁₉	1	2	yes	complemented
495	#3050	C₂×C₁₉	1	1	yes	characteristic, complemented
496	C₂×#466	C₂×C₁₉	1	1	yes	characteristic, complemented
497	#2929	C₂×C₁₉	1	1	yes	characteristic, complemented
498	C₂²×C₁₉	—	2	1	no	—
499	C₂²×C₁₉	—	2	1	no	—
500	C₂²×C₁₉	—	2	1	no	—
501	C₂²×C₁₉	—	2	2	no	—
502	C₂²×C₁₉	—	2	1	no	—
503	C₂²×C₁₉	—	2	1	no	—
504	C₂²×C₁₉	—	2	1	no	—
505	C₂²×C₁₉	—	2	2	no	—
506	C₂²×C₁₉	—	2	2	no	—
507	C₂²×C₁₉	—	2	1	no	—
508	C₂²×C₁₉	—	2	1	no	—
509	C₂²×C₁₉	—	4	4	no	—
510	C₂²×C₁₉	—	4	2	no	—
511	C₂²×C₁₉	—	4	2	no	—
512	C₂²×C₁₉	—	4	2	no	—
513	C₂²×C₁₉	—	4	2	no	—
514	C₂²×C₁₉	—	4	2	no	—
515	C₂²×C₁₉	—	4	2	no	—
516	C₂²×C₁₉	—	4	2	no	—
517	C₂²×C₁₉	—	4	2	no	—
518	C₂²×C₁₉	—	4	2	no	—
519	C₂²×C₁₉	—	16	4	no	—
520	C₂²×C₁₉	—	16	4	no	—
521	C₂²×C₁₉	#576	1	2	yes	—
522	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
523	C₄×C₁₉	—	2	2	no	—
524	C₄×C₁₉	—	2	1	no	—
525	C₄×C₁₉	—	2	1	no	—
526	C₄×C₁₉	—	2	1	no	—
527	C₄×C₁₉	—	2	2	no	—
528	C₄×C₁₉	—	2	2	no	—
529	C₄×C₁₉	—	4	2	no	—
530	C₄×C₁₉	—	4	2	no	—
531	C₄×C₁₉	—	4	2	no	—
532	C₄×C₁₉	—	4	2	no	—
533	C₄×C₁₉	—	4	2	no	—
534	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
535	C₄×C₁₉	#585	1	1	yes	characteristic
536	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
537	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
538	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic
539	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
540	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
541	#562	—	2	2	no	—
542	#560	—	2	2	no	—
543	#555	C₂²×C₁₉	1	2	yes	complemented
544	#553	C₂²×C₁₉	1	2	yes	complemented
545	#552	C₂²×C₁₉	1	2	yes	complemented
546	#551	—	2	2	no	—
547	#550	C₂²×C₁₉	1	2	yes	complemented
548	#547	C₂²×C₁₉	1	2	yes	—
549	#546	—	2	2	no	—
550	#546	C₂²×C₁₉	1	2	yes	—
551	#546	C₂²×C₁₉	1	2	yes	complemented
552	D₄²	C₂²×C₁₉	1	2	yes	complemented
553	#542	C₂²×C₁₉	1	2	yes	complemented
554	#540	—	2	2	no	—
555	#540	C₂²×C₁₉	1	2	yes	complemented
556	#538	—	2	2	no	—
557	#537	C₂²×C₁₉	1	2	yes	complemented
558	#535	—	2	2	no	—
559	#535	C₂²×C₁₉	1	2	yes	complemented
560	#534	—	2	2	no	—
561	#525	C₂²×C₁₉	1	1	yes	characteristic
562	#525	C₂²×C₁₉	1	2	yes	complemented
563	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
564	#501	C₂²×C₁₉	1	2	yes	complemented
565	#496	C₂²×C₁₉	1	2	yes	complemented
566	#488	C₂²×C₁₉	1	2	yes	complemented
567	#486	C₂²×C₁₉	1	2	yes	complemented
568	#484	C₂²×C₁₉	1	2	yes	complemented
569	#483	C₂²×C₁₉	1	2	yes	complemented
570	#482	C₂²×C₁₉	1	2	yes	complemented
571	#482	C₂²×C₁₉	1	2	yes	complemented
572	#482	C₂²×C₁₉	1	2	yes	complemented
573	#482	C₂²×C₁₉	1	2	yes	complemented
574	#480	C₂²×C₁₉	1	2	yes	complemented
575	#480	C₂²×C₁₉	1	2	yes	complemented
576	#478	C₂²×C₁₉	1	2	yes	complemented
577	#478	C₂²×C₁₉	1	2	yes	complemented
578	#477	C₂²×C₁₉	1	2	yes	complemented
579	#474	C₂²×C₁₉	1	2	yes	complemented
580	#469	C₂²×C₁₉	1	2	yes	complemented
581	#469	C₂²×C₁₉	1	2	yes	complemented
582	#469	C₂²×C₁₉	1	2	yes	complemented
583	#468	C₂²×C₁₉	1	2	yes	complemented
584	#468	C₂²×C₁₉	1	2	yes	complemented
585	#468	C₂²×C₁₉	1	2	yes	complemented
586	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
587	#467	C₂²×C₁₉	1	1	yes	characteristic, complemented
588	#466	C₂²×C₁₉	1	1	yes	characteristic
589	#466	C₂²×C₁₉	1	1	yes	characteristic
590	#466	C₂²×C₁₉	1	1	yes	characteristic
591	#466	C₂²×C₁₉	1	2	yes	complemented
592	#466	C₂²×C₁₉	1	2	yes	complemented
593	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
594	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
595	#466	C₂²×C₁₉	1	2	yes	complemented
596	#466	C₂²×C₁₉	1	1	yes	characteristic, complemented
597	#465	C₂²×C₁₉	1	2	yes	complemented
598	#465	C₂²×C₁₉	1	2	yes	complemented
599	#465	C₂²×C₁₉	1	2	yes	complemented
600	#464	C₂²×C₁₉	1	2	yes	complemented
601	#463	C₂²×C₁₉	1	2	yes	complemented
602	#459	C₂²×C₁₉	1	2	yes	complemented
603	#459	C₂²×C₁₉	1	2	yes	complemented
604	#452	C₂²×C₁₉	1	2	yes	complemented
605	#450	C₂²×C₁₉	1	2	yes	complemented
606	#449	C₂²×C₁₉	1	2	yes	complemented
607	#449	C₂²×C₁₉	1	2	yes	complemented
608	#449	C₂²×C₁₉	1	2	yes	complemented
609	#447	C₂²×C₁₉	1	2	yes	—
610	#447	C₂²×C₁₉	1	2	yes	complemented
611	#447	C₂²×C₁₉	1	2	yes	complemented
612	#442	C₂²×C₁₉	1	2	yes	complemented
613	#440	C₂²×C₁₉	1	2	yes	complemented
614	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
615	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
616	#435	C₂²×C₁₉	1	2	yes	complemented
617	#435	C₂²×C₁₉	1	2	yes	complemented
618	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
619	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
620	#428	C₂²×C₁₉	1	2	yes	complemented
621	#427	C₂²×C₁₉	1	1	yes	characteristic, complemented
622	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic, complemented
623	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
624	#416	C₂²×C₁₉	1	2	yes	complemented
625	#416	C₂²×C₁₉	1	2	yes	complemented
626	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
627	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
628	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
629	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
630	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
631	C₂×C₁₉	—	2	2	no	—
632	C₂×C₁₉	—	4	1	no	—
633	C₂×C₁₉	—	4	1	no	—
634	C₂×C₁₉	—	4	2	no	—
635	C₂×C₁₉	—	8	2	no	—
636	C₂×C₁₉	—	8	2	no	—
637	C₂×C₁₉	—	8	2	no	—
638	C₂×C₁₉	#3496	1	1	yes	characteristic
639	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
640	C₂×C₁₉	#3584	1	1	yes	characteristic
641	C₂×#41	—	2	2	no	—
642	C₂×#41	C₂³×C₁₉	1	2	yes	—
643	C₂×#41	C₂³×C₁₉	1	2	yes	—
644	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
645	C₂²×D₄	—	2	2	no	—
646	C₂²×D₄	—	2	2	no	—
647	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
648	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
649	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
650	AGL(1,ℤ/8)	—	4	4	no	—
651	#135	—	4	2	no	—
652	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
653	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
654	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
655	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
656	C₂×D₈	—	4	2	no	—
657	C₂×D₈	C₂³×C₁₉	1	2	yes	—
658	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
659	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
660	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
661	C₂×D₈	C₂³×C₁₉	1	2	yes	—
662	C₂×D₈	C₂³×C₁₉	1	2	yes	—
663	#131	—	4	2	no	—
664	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
665	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
666	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
667	C₂²×C₈	—	4	2	no	—
668	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
669	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
670	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
671	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
672	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
673	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
674	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
675	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
676	#127	—	2	2	no	—
677	#127	—	2	2	no	—
678	#127	C₂³×C₁₉	1	2	yes	—
679	#126	—	2	2	no	—
680	#126	—	2	2	no	—
681	#126	—	2	2	no	—
682	#125	—	2	2	no	—
683	#125	C₂³×C₁₉	1	2	yes	—
684	#124	—	2	2	no	—
685	#124	—	2	2	no	—
686	#124	—	2	2	no	—
687	#124	—	2	2	no	—
688	#124	C₂³×C₁₉	1	2	yes	—
689	#123	—	2	2	no	—
690	#123	—	2	2	no	—
691	#123	—	2	2	no	—
692	#123	—	2	2	no	—
693	#123	—	2	2	no	—
694	#123	—	2	2	no	—
695	#123	—	2	2	no	—
696	#123	—	2	2	no	—
697	#123	—	2	2	no	—
698	#123	—	2	2	no	—
699	#123	D₄×C₁₉	1	2	yes	—
700	C₂²⋊Q₈	—	2	2	no	—
701	C₂²⋊Q₈	—	2	2	no	—
702	C₂²⋊Q₈	—	2	2	no	—
703	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
704	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
705	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
706	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
707	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
708	#121	—	2	2	no	—
709	#121	—	2	2	no	—
710	#121	—	2	2	no	—
711	#121	—	2	2	no	—
712	#121	—	2	2	no	—
713	#121	—	2	2	no	—
714	#121	—	2	2	no	—
715	#121	—	2	2	no	—
716	#121	—	2	2	no	—
717	#121	—	2	2	no	—
718	#121	—	2	2	no	—
719	#121	—	2	2	no	—
720	#121	—	2	2	no	—
721	#121	—	2	2	no	—
722	#121	D₄×C₁₉	1	1	yes	characteristic
723	#121	D₄×C₁₉	1	1	yes	characteristic
724	#121	C₂³×C₁₉	1	2	yes	—
725	#121	C₂³×C₁₉	1	2	yes	—
726	#121	C₂³×C₁₉	1	2	yes	—
727	#121	C₂³×C₁₉	1	2	yes	—
728	#121	C₂³×C₁₉	1	2	yes	—
729	#121	C₂³×C₁₉	1	2	yes	—
730	#121	C₂³×C₁₉	1	2	yes	—
731	#121	C₂³×C₁₉	1	2	yes	—
732	#121	C₂³×C₁₉	1	2	yes	—
733	#120	—	2	2	no	—
734	#120	—	2	2	no	—
735	#120	—	2	2	no	—
736	#120	—	2	2	no	—
737	#120	—	2	2	no	—
738	#120	—	2	2	no	—
739	#120	—	2	2	no	—
740	#120	D₄×C₁₉	1	2	yes	—
741	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
742	C₄×D₄	—	2	2	no	—
743	C₄×D₄	—	2	2	no	—
744	C₄×D₄	—	2	2	no	—
745	C₄×D₄	—	2	2	no	—
746	C₄×D₄	C₂³×C₁₉	1	2	yes	—
747	C₄×D₄	C₂³×C₁₉	1	2	yes	—
748	C₄×D₄	C₂³×C₁₉	1	2	yes	—
749	C₄×D₄	C₂³×C₁₉	1	2	yes	—
750	C₄×D₄	C₂³×C₁₉	1	2	yes	—
751	#117	—	2	2	no	—
752	#117	—	2	2	no	—
753	#117	C₂³×C₁₉	1	2	yes	—
754	#117	C₂³×C₁₉	1	2	yes	—
755	#117	C₂³×C₁₉	1	1	yes	characteristic
756	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
757	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
758	C₂×C₂²⋊C₄	—	2	2	no	—
759	C₂×C₂²⋊C₄	—	2	2	no	—
760	C₂×C₂²⋊C₄	—	2	2	no	—
761	#107	C₂³×C₁₉	1	2	yes	—
762	#107	C₂³×C₁₉	1	1	yes	characteristic
763	#107	C₂³×C₁₉	1	1	yes	characteristic
764	#107	C₂³×C₁₉	1	1	yes	characteristic
765	#107	C₂³×C₁₉	1	1	yes	characteristic
766	#107	C₂³×C₁₉	1	2	yes	—
767	#107	C₂³×C₁₉	1	2	yes	—
768	#106	C₂³×C₁₉	1	2	yes	—
769	#106	C₂³×C₁₉	1	2	yes	—
770	#106	C₂³×C₁₉	1	2	yes	—
771	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
772	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
773	#103	C₂³×C₁₉	1	2	yes	—
774	#103	C₂³×C₁₉	1	2	yes	—
775	#103	C₂³×C₁₉	1	2	yes	—
776	#103	C₂³×C₁₉	1	2	yes	—
777	#102	C₂³×C₁₉	1	2	yes	—
778	#102	C₂³×C₁₉	1	2	yes	—
779	#102	C₂³×C₁₉	1	2	yes	—
780	#102	C₂³×C₁₉	1	2	yes	—
781	#102	C₂³×C₁₉	1	2	yes	—
782	#102	C₂³×C₁₉	1	2	yes	—
783	#102	C₂³×C₁₉	1	2	yes	—
784	#102	C₂³×C₁₉	1	2	yes	—
785	#102	C₂³×C₁₉	1	2	yes	—
786	#102	C₂³×C₁₉	1	2	yes	—
787	#102	C₂³×C₁₉	1	2	yes	—
788	#102	C₂³×C₁₉	1	2	yes	—
789	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
790	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
791	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
792	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
793	#97	C₂³×C₁₉	1	2	yes	—
794	C₄×C₈	C₂³×C₁₉	1	2	yes	—
795	C₁₉	#62278	1	1	yes	characteristic, direct product factor, Sylow
796	C₂⁴	—	2	2	no	—
797	C₂⁴	—	2	2	no	—
798	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
799	#41	—	4	1	no	—
800	#41	—	4	1	no	—
801	#41	—	4	2	no	—
802	#41	—	4	2	no	—
803	#41	—	4	2	no	—
804	#41	—	4	2	no	—
805	#41	—	8	4	no	—
806	C₂×Q₈	—	2	2	no	—
807	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
808	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	2	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	2	no	—
817	C₂×D₄	—	2	2	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	4	2	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	8	4	no	—
829	C₂×D₄	—	8	4	no	—
830	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
831	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
832	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
833	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
834	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
835	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
836	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
847	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
848	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
849	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
850	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
851	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
852	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
853	Q₁₆	—	4	1	no	—
854	SD₁₆	—	2	4	no	—
855	SD₁₆	—	4	2	no	—
856	SD₁₆	—	4	2	no	—
857	D₈	—	2	4	no	—
858	D₈	—	4	1	no	—
859	D₈	—	4	1	no	—
860	D₈	—	4	2	no	—
861	D₈	—	4	1	no	—
862	D₈	—	4	2	no	—
863	M₁₆	—	2	4	no	—
864	M₁₆	—	4	1	no	—
865	M₁₆	—	4	1	no	—
866	C₂×C₈	—	2	2	no	—
867	C₂×C₈	—	2	2	no	—
868	C₂×C₈	—	2	2	no	—
869	C₂×C₈	—	4	1	no	—
870	C₂×C₈	—	4	1	no	—
871	C₂×C₈	—	4	1	no	—
872	C₂×C₈	—	4	2	no	—
873	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
874	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
875	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
876	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
877	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
878	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	2	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	2	2	no	—
888	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
889	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
890	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
891	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
892	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
893	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
894	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
895	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	2	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	2	2	no	—
909	C₂²⋊C₄	—	2	2	no	—
910	C₂²⋊C₄	—	2	2	no	—
911	C₂²⋊C₄	—	2	2	no	—
912	C₂²⋊C₄	—	2	2	no	—
913	C₂²⋊C₄	—	2	2	no	—
914	C₂²⋊C₄	—	2	2	no	—
915	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
916	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
917	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
918	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
919	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	2	no	—
922	C₄²	—	2	2	no	—
923	C₄²	C₂⁴×C₁₉	1	2	yes	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	2	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	4	1	no	—
929	C₂³	—	4	1	no	—
930	C₂³	—	4	4	no	—
931	C₂³	—	8	2	no	—
932	C₂³	—	8	2	no	—
933	C₂³	—	8	2	no	—
934	C₂³	—	8	2	no	—
935	C₂³	—	8	2	no	—
936	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
937	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
938	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
939	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
940	Q₈	—	2	2	no	—
941	Q₈	—	2	2	no	—
942	Q₈	—	4	1	no	—
943	Q₈	—	8	2	no	—
944	D₄	—	2	4	no	—
945	D₄	—	2	2	no	—
946	D₄	—	2	2	no	—
947	D₄	—	2	2	no	—
948	D₄	—	2	2	no	—
949	D₄	—	2	2	no	—
950	D₄	—	2	2	no	—
951	D₄	—	4	1	no	—
952	D₄	—	4	2	no	—
953	D₄	—	4	2	no	—
954	D₄	—	4	4	no	—
955	D₄	—	8	2	no	—
956	D₄	—	8	2	no	—
957	D₄	—	8	2	no	—
958	D₄	—	8	2	no	—
959	D₄	—	8	2	no	—
960	D₄	—	8	2	no	—
961	D₄	—	8	2	no	—
962	D₄	—	8	2	no	—
963	D₄	—	8	2	no	—
964	D₄	—	8	2	no	—
965	D₄	—	8	2	no	—
966	D₄	—	8	2	no	—
967	D₄	—	8	2	no	—
968	D₄	—	8	2	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	1	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	4	1	no	—
983	C₂×C₄	—	4	1	no	—
984	C₂×C₄	—	4	1	no	—
985	C₂×C₄	—	4	4	no	—
986	C₂×C₄	—	8	2	no	—
987	C₂×C₄	—	8	2	no	—
988	C₂×C₄	—	8	2	no	—
989	C₂×C₄	—	8	2	no	—
990	C₂×C₄	—	8	2	no	—
991	C₂×C₄	—	8	2	no	—
992	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
993	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
994	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
995	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
996	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
997	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
998	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
999	C₈	—	2	1	no	—
1000	C₈	—	2	1	no	—
1001	C₈	—	2	1	no	—
1002	C₈	—	2	2	no	—
1003	C₈	—	2	2	no	—
1004	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1005	C₂²	—	2	1	no	—
1006	C₂²	—	2	1	no	—
1007	C₂²	—	2	1	no	—
1008	C₂²	—	2	1	no	—
1009	C₂²	—	2	2	no	—
1010	C₂²	—	2	2	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	1	no	—
1013	C₂²	—	2	1	no	—
1014	C₂²	—	2	2	no	—
1015	C₂²	—	2	1	no	—
1016	C₂²	—	4	4	no	—
1017	C₂²	—	4	2	no	—
1018	C₂²	—	4	2	no	—
1019	C₂²	—	4	2	no	—
1020	C₂²	—	4	2	no	—
1021	C₂²	—	4	2	no	—
1022	C₂²	—	4	2	no	—
1023	C₂²	—	4	2	no	—
1024	C₂²	—	4	2	no	—
1025	C₂²	—	4	2	no	—
1026	C₂²	—	16	4	no	—
1027	C₂²	—	16	4	no	—
1028	C₂²	C₁₉×#576	1	2	yes	—
1029	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1030	C₄	—	2	1	no	—
1031	C₄	—	2	1	no	—
1032	C₄	—	2	1	no	—
1033	C₄	—	2	2	no	—
1034	C₄	—	2	2	no	—
1035	C₄	—	2	2	no	—
1036	C₄	—	4	2	no	—
1037	C₄	—	4	2	no	—
1038	C₄	—	4	2	no	—
1039	C₄	—	4	2	no	—
1040	C₄	—	4	2	no	—
1041	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1042	C₄	C₁₉×#585	1	1	yes	characteristic
1043	C₂	—	2	2	no	—
1044	C₂	—	4	1	no	—
1045	C₂	—	4	1	no	—
1046	C₂	—	4	2	no	—
1047	C₂	—	8	2	no	—
1048	C₂	—	8	2	no	—
1049	C₂	—	8	2	no	—
1050	C₂	C₁₉×#3496	1	1	yes	characteristic
1051	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
1052	C₂	C₁₉×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₉ ◁ C₁₉×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3542	C₂	semidirect
2. C₁₉×#3347	C₂	semidirect
3. C₁₉×#3343	C₂	semidirect
4. C₁₉×#3305	C₂	semidirect
5. C₁₉×#3297	C₂	semidirect
6. C₁₉×#3296	C₂	semidirect
7. C₁₉×#3294	C₂	semidirect
8. C₁₉×#3268	C₂	semidirect
9. C₁₉×#3264	C₂	semidirect
10. C₁₉×#3262	C₂	semidirect
11. C₁₉×#3259	C₂	semidirect
12. C₁₉×#3203	C₂	semidirect
13. C₁₉×#3199	C₂	semidirect
14. C₁₉×#3194	C₂	semidirect
15. C₁₉×#3179	C₂	semidirect
16. C₁₉×#3062	C₂	semidirect
17. C₁₉×#3050	C₂	semidirect
18. C₂×C₁₉×#466	C₂	semidirect
19. C₁₉×#2929	C₂	semidirect
20. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂×C₁₉×#135	C₂²	semidirect
23. C₂×C₁₉×#131	C₂²	semidirect
24. C₂³×C₈×C₁₉	C₂²	semidirect
27. C₁₉×#555	C₂²	semidirect
28. C₁₉×#553	C₂²	semidirect
29. C₁₉×#552	C₂²	semidirect
31. C₁₉×#550	C₂²	semidirect
35. C₁₉×#546	C₂²	semidirect
36. D₄²×C₁₉	C₂²	semidirect
37. C₁₉×#542	C₂²	semidirect
39. C₁₉×#540	C₂²	semidirect
41. C₁₉×#537	C₂²	semidirect
43. C₁₉×#535	C₂²	semidirect
46. C₁₉×#525	C₂²	semidirect
47. C₂×C₁₉×#121	C₂²	semidirect
48. C₁₉×#501	C₂²	semidirect
49. C₁₉×#496	C₂²	semidirect
50. C₁₉×#488	C₂²	semidirect
51. C₁₉×#486	C₂²	semidirect
52. C₁₉×#484	C₂²	semidirect
53. C₁₉×#483	C₂²	semidirect
54. C₁₉×#482	C₂²	semidirect
55. C₁₉×#482	C₂²	semidirect
56. C₁₉×#482	C₂²	semidirect
57. C₁₉×#482	C₂²	semidirect
58. C₁₉×#480	C₂²	semidirect
59. C₁₉×#480	C₂²	semidirect
60. C₁₉×#478	C₂²	semidirect
61. C₁₉×#478	C₂²	semidirect
62. C₁₉×#477	C₂²	semidirect
63. C₁₉×#474	C₂²	semidirect
64. C₁₉×#469	C₂²	semidirect
65. C₁₉×#469	C₂²	semidirect
66. C₁₉×#469	C₂²	semidirect
67. C₁₉×#468	C₂²	semidirect
68. C₁₉×#468	C₂²	semidirect
69. C₁₉×#468	C₂²	semidirect
70. C₁₉×#467	C₂²	semidirect
71. C₁₉×#467	C₂²	semidirect
75. C₁₉×#466	C₂²	semidirect
76. C₁₉×#466	C₂²	semidirect
77. C₁₉×#466	C₂²	semidirect
78. C₁₉×#466	C₂²	semidirect
79. C₁₉×#466	C₂²	semidirect
80. C₁₉×#466	C₂²	semidirect
81. C₁₉×#465	C₂²	semidirect
82. C₁₉×#465	C₂²	semidirect
83. C₁₉×#465	C₂²	semidirect
84. C₁₉×#464	C₂²	semidirect
85. C₁₉×#463	C₂²	semidirect
86. C₁₉×#459	C₂²	semidirect
87. C₁₉×#459	C₂²	semidirect
88. C₁₉×#452	C₂²	semidirect
89. C₁₉×#450	C₂²	semidirect
90. C₁₉×#449	C₂²	semidirect
91. C₁₉×#449	C₂²	semidirect
92. C₁₉×#449	C₂²	semidirect
94. C₁₉×#447	C₂²	semidirect
95. C₁₉×#447	C₂²	semidirect
96. C₁₉×#442	C₂²	semidirect
97. C₁₉×#440	C₂²	semidirect
98. C₄×SD₁₆×C₁₉	C₂²	semidirect
99. C₄×D₈×C₁₉	C₂²	semidirect
100. C₁₉×#435	C₂²	semidirect
101. C₁₉×#435	C₂²	semidirect
102. C₈×D₄×C₁₉	C₂²	semidirect
103. C₈×D₄×C₁₉	C₂²	semidirect
104. C₁₉×#428	C₂²	semidirect
105. C₁₉×#427	C₂²	semidirect
106. C₂×C₁₉×#107	C₂²	semidirect
107. C₁₉×#424	C₂²	semidirect
108. C₁₉×#416	C₂²	semidirect
109. C₁₉×#416	C₂²	semidirect
110. C₂×C₁₉×#102	C₂²	semidirect
111. C₂×C₁₉×#102	C₂²	semidirect
112. C₁₉×#408	C₂²	semidirect
113. C₁₉×#407	C₂²	semidirect
114. C₁₉×#405	C₂²	semidirect
397. #62278	C₁₉	direct (N × H)
479. #3542	C₂×C₁₉	semidirect
480. #3347	C₂×C₁₉	semidirect
481. #3343	C₂×C₁₉	semidirect
482. #3305	C₂×C₁₉	semidirect
483. #3297	C₂×C₁₉	semidirect
484. #3296	C₂×C₁₉	semidirect
485. #3294	C₂×C₁₉	semidirect
486. #3268	C₂×C₁₉	semidirect
487. #3264	C₂×C₁₉	semidirect
488. #3262	C₂×C₁₉	semidirect
489. #3259	C₂×C₁₉	semidirect
490. #3203	C₂×C₁₉	semidirect
491. #3199	C₂×C₁₉	semidirect
492. #3194	C₂×C₁₉	semidirect
493. #3179	C₂×C₁₉	semidirect
494. #3062	C₂×C₁₉	semidirect
495. #3050	C₂×C₁₉	semidirect
496. C₂×#466	C₂×C₁₉	semidirect
497. #2929	C₂×C₁₉	semidirect
536. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
537. C₂×#135	C₂²×C₁₉	semidirect
539. C₂×#131	C₂²×C₁₉	semidirect
540. C₂³×C₈	C₂²×C₁₉	semidirect
543. #555	C₂²×C₁₉	semidirect
544. #553	C₂²×C₁₉	semidirect
545. #552	C₂²×C₁₉	semidirect
547. #550	C₂²×C₁₉	semidirect
551. #546	C₂²×C₁₉	semidirect
552. D₄²	C₂²×C₁₉	semidirect
553. #542	C₂²×C₁₉	semidirect
555. #540	C₂²×C₁₉	semidirect
557. #537	C₂²×C₁₉	semidirect
559. #535	C₂²×C₁₉	semidirect
562. #525	C₂²×C₁₉	semidirect
563. C₂×#121	C₂²×C₁₉	semidirect
564. #501	C₂²×C₁₉	semidirect
565. #496	C₂²×C₁₉	semidirect
566. #488	C₂²×C₁₉	semidirect
567. #486	C₂²×C₁₉	semidirect
568. #484	C₂²×C₁₉	semidirect
569. #483	C₂²×C₁₉	semidirect
570. #482	C₂²×C₁₉	semidirect
571. #482	C₂²×C₁₉	semidirect
572. #482	C₂²×C₁₉	semidirect
573. #482	C₂²×C₁₉	semidirect
574. #480	C₂²×C₁₉	semidirect
575. #480	C₂²×C₁₉	semidirect
576. #478	C₂²×C₁₉	semidirect
577. #478	C₂²×C₁₉	semidirect
578. #477	C₂²×C₁₉	semidirect
579. #474	C₂²×C₁₉	semidirect
580. #469	C₂²×C₁₉	semidirect
581. #469	C₂²×C₁₉	semidirect
582. #469	C₂²×C₁₉	semidirect
583. #468	C₂²×C₁₉	semidirect
584. #468	C₂²×C₁₉	semidirect
585. #468	C₂²×C₁₉	semidirect
586. #467	C₂²×C₁₉	semidirect
587. #467	C₂²×C₁₉	semidirect
591. #466	C₂²×C₁₉	semidirect
592. #466	C₂²×C₁₉	semidirect
593. #466	C₂²×C₁₉	semidirect
594. #466	C₂²×C₁₉	semidirect
595. #466	C₂²×C₁₉	semidirect
596. #466	C₂²×C₁₉	semidirect
597. #465	C₂²×C₁₉	semidirect
598. #465	C₂²×C₁₉	semidirect
599. #465	C₂²×C₁₉	semidirect
600. #464	C₂²×C₁₉	semidirect
601. #463	C₂²×C₁₉	semidirect
602. #459	C₂²×C₁₉	semidirect
603. #459	C₂²×C₁₉	semidirect
604. #452	C₂²×C₁₉	semidirect
605. #450	C₂²×C₁₉	semidirect
606. #449	C₂²×C₁₉	semidirect
607. #449	C₂²×C₁₉	semidirect
608. #449	C₂²×C₁₉	semidirect
610. #447	C₂²×C₁₉	semidirect
611. #447	C₂²×C₁₉	semidirect
612. #442	C₂²×C₁₉	semidirect
613. #440	C₂²×C₁₉	semidirect
614. C₄×SD₁₆	C₂²×C₁₉	semidirect
615. C₄×D₈	C₂²×C₁₉	semidirect
616. #435	C₂²×C₁₉	semidirect
617. #435	C₂²×C₁₉	semidirect
618. C₈×D₄	C₂²×C₁₉	semidirect
619. C₈×D₄	C₂²×C₁₉	semidirect
620. #428	C₂²×C₁₉	semidirect
621. #427	C₂²×C₁₉	semidirect
622. C₂×#107	C₂²×C₁₉	semidirect
623. #424	C₂²×C₁₉	semidirect
624. #416	C₂²×C₁₉	semidirect
625. #416	C₂²×C₁₉	semidirect
626. C₂×#102	C₂²×C₁₉	semidirect
627. C₂×#102	C₂²×C₁₉	semidirect
628. #408	C₂²×C₁₉	semidirect
629. #407	C₂²×C₁₉	semidirect
630. #405	C₂²×C₁₉	semidirect
795. C₁₉	#62278	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×#3542	2
C₁₉×#3347	2
C₁₉×#3343	2
C₁₉×#3305	2
C₁₉×#3297	2
C₁₉×#3296	2
C₁₉×#3294	2
C₁₉×#3268	2
C₁₉×#3264	2
C₁₉×#3262	2
C₁₉×#3259	2
C₁₉×#3203	2
C₁₉×#3199	2
C₁₉×#3194	2
C₁₉×#3179	2
C₁₉×#3062	2
C₁₉×#3050	2
C₂×C₁₉×#466	2
C₁₉×#2929	2
#62278	19

Subgroups — C19×#62278 #18068237

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62278 #18068237