Subgroups — C₁₉×#62280 #18068239

Order 4864.

1964 conjugacy classes of subgroups.

The subgroup lattice has 1130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3537	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3536	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3346	C₂	1	2	yes	maximal, complemented
4	C₁₉×#3345	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3301	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3297	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3295	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3294	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3265	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3264	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3257	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3198	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3193	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3192	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₉×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3062	C₂	1	2	yes	maximal, complemented
17	C₂×C₁₉×#466	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₉×#465	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	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
22	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
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×#554	C₂²	1	2	yes	complemented
28	C₁₉×#553	C₂²	1	2	yes	—
29	C₁₉×#553	C₂²	1	2	yes	complemented
30	C₁₉×#548	C₂²	1	2	yes	complemented
31	C₁₉×#547	C₂²	1	2	yes	complemented
32	C₁₉×#546	—	2	2	no	—
33	C₁₉×#546	C₂²	1	2	yes	complemented
34	D₄²×C₁₉	—	2	2	no	—
35	D₄²×C₁₉	C₂²	1	2	yes	—
36	D₄²×C₁₉	C₂²	1	2	yes	complemented
37	C₁₉×#543	—	2	1	no	—
38	C₁₉×#542	C₂²	1	2	yes	complemented
39	C₁₉×#540	C₂²	1	2	yes	complemented
40	C₁₉×#539	—	2	1	no	—
41	C₁₉×#538	—	2	1	no	—
42	C₁₉×#538	—	2	1	no	—
43	C₁₉×#538	—	2	1	no	—
44	C₁₉×#537	—	2	1	no	—
45	C₁₉×#537	C₂²	1	2	yes	complemented
46	C₁₉×#535	C₂²	1	2	yes	complemented
47	C₁₉×#534	—	2	1	no	—
48	C₁₉×#534	—	2	1	no	—
49	C₁₉×#525	C₂²	1	1	yes	characteristic
50	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
52	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
53	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
54	C₁₉×#501	C₂²	1	2	yes	complemented
55	C₁₉×#496	C₂²	1	2	yes	complemented
56	C₁₉×#488	C₂²	1	2	yes	complemented
57	C₁₉×#486	C₂²	1	2	yes	complemented
58	C₁₉×#485	C₂²	1	2	yes	complemented
59	C₁₉×#484	C₂²	1	2	yes	complemented
60	C₁₉×#482	C₂²	1	2	yes	complemented
61	C₁₉×#481	C₂²	1	2	yes	complemented
62	C₁₉×#481	C₂²	1	2	yes	complemented
63	C₁₉×#481	C₂²	1	2	yes	complemented
64	C₁₉×#480	C₂²	1	2	yes	complemented
65	C₁₉×#480	C₂²	1	2	yes	complemented
66	C₁₉×#479	C₂²	1	2	yes	complemented
67	C₁₉×#478	C₂²	1	2	yes	complemented
68	C₁₉×#476	C₂²	1	2	yes	complemented
69	C₁₉×#474	C₂²	1	2	yes	complemented
70	C₁₉×#469	C₂²	1	2	yes	complemented
71	C₁₉×#469	C₂²	1	2	yes	complemented
72	C₁₉×#469	C₂²	1	2	yes	complemented
73	C₁₉×#468	C₂²	1	2	yes	complemented
74	C₁₉×#468	C₂²	1	2	yes	complemented
75	C₁₉×#468	C₂²	1	2	yes	complemented
76	C₁₉×#466	C₂²	1	2	yes	complemented
77	C₁₉×#466	C₂²	1	2	yes	complemented
78	C₁₉×#466	C₂²	1	2	yes	complemented
79	C₁₉×#466	C₂²	1	2	yes	complemented
80	C₁₉×#466	C₂²	1	2	yes	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×#465	C₂²	1	2	yes	complemented
85	C₁₉×#465	C₂²	1	2	yes	complemented
86	C₁₉×#463	C₂²	1	2	yes	complemented
87	C₁₉×#463	C₂²	1	2	yes	complemented
88	C₁₉×#460	C₂²	1	2	yes	complemented
89	C₁₉×#459	C₂²	1	2	yes	complemented
90	C₁₉×#450	C₂²	1	2	yes	complemented
91	C₁₉×#450	C₂²	1	2	yes	complemented
92	C₁₉×#449	C₂²	1	2	yes	complemented
93	C₁₉×#449	C₂²	1	2	yes	complemented
94	C₁₉×#448	C₂²	1	2	yes	complemented
95	C₁₉×#447	C₂²	1	2	yes	complemented
96	C₁₉×#447	C₂²	1	2	yes	complemented
97	C₁₉×#447	C₂²	1	2	yes	complemented
98	C₁₉×#442	C₂²	1	2	yes	complemented
99	C₁₉×#440	C₂²	1	2	yes	complemented
100	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
101	C₄×D₈×C₁₉	C₂²	1	2	yes	complemented
102	C₁₉×#435	C₂²	1	2	yes	complemented
103	C₁₉×#435	C₂²	1	2	yes	complemented
104	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
105	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
106	C₁₉×#428	C₂²	1	2	yes	complemented
107	C₂×C₁₉×#107	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic, complemented
109	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
110	C₁₉×#416	C₂²	1	2	yes	complemented
111	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
114	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
116	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
117	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
118	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
119	C₂×#41×C₁₉	—	2	2	no	—
120	C₂×#41×C₁₉	C₂³	1	2	yes	—
121	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
122	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
123	C₂²×D₄×C₁₉	—	2	1	no	—
124	C₂²×D₄×C₁₉	—	2	1	no	—
125	C₂²×D₄×C₁₉	—	2	1	no	—
126	C₂²×D₄×C₁₉	—	2	2	no	—
127	C₂²×D₄×C₁₉	—	2	2	no	—
128	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
131	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
133	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
134	C₂×SD₁₆×C₁₉	—	4	2	no	—
135	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
136	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
137	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
138	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
139	C₂×D₈×C₁₉	—	4	2	no	—
140	C₂×D₈×C₁₉	C₂³	1	2	yes	—
141	C₂×D₈×C₁₉	C₂³	1	2	yes	—
142	C₂×D₈×C₁₉	C₂³	1	2	yes	—
143	C₂×D₈×C₁₉	C₂³	1	2	yes	—
144	C₁₉×#131	—	4	2	no	—
145	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
146	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
147	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₁₉	—	4	2	no	—
149	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
154	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
155	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
156	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
157	C₁₉×#127	—	2	2	no	—
158	C₁₉×#127	C₂³	1	2	yes	—
159	C₁₉×#126	—	2	2	no	—
160	C₁₉×#126	—	2	2	no	—
161	C₁₉×#126	—	2	2	no	—
162	C₁₉×#125	—	2	2	no	—
163	C₁₉×#125	C₂³	1	2	yes	—
164	C₁₉×#124	—	2	2	no	—
165	C₁₉×#124	—	2	2	no	—
166	C₁₉×#124	—	2	2	no	—
167	C₁₉×#124	C₂³	1	2	yes	—
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	—	2	2	no	—
174	C₁₉×#123	—	2	2	no	—
175	C₁₉×#123	—	2	2	no	—
176	C₁₉×#123	D₄	1	2	yes	—
177	C₁₉×C₂²⋊Q₈	—	2	2	no	—
178	C₁₉×C₂²⋊Q₈	—	2	1	no	—
179	C₁₉×C₂²⋊Q₈	—	2	1	no	—
180	C₁₉×C₂²⋊Q₈	—	2	2	no	—
181	C₁₉×C₂²⋊Q₈	—	2	2	no	—
182	C₁₉×C₂²⋊Q₈	—	2	2	no	—
183	C₁₉×C₂²⋊Q₈	—	2	2	no	—
184	C₁₉×C₂²⋊Q₈	—	2	2	no	—
185	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
186	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
187	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
188	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
189	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
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	—	2	1	no	—
197	C₁₉×#121	—	2	1	no	—
198	C₁₉×#121	—	2	1	no	—
199	C₁₉×#121	—	2	1	no	—
200	C₁₉×#121	—	2	1	no	—
201	C₁₉×#121	—	2	1	no	—
202	C₁₉×#121	—	2	2	no	—
203	C₁₉×#121	—	2	2	no	—
204	C₁₉×#121	—	2	2	no	—
205	C₁₉×#121	—	2	2	no	—
206	C₁₉×#121	—	2	2	no	—
207	C₁₉×#121	D₄	1	1	yes	characteristic
208	C₁₉×#121	D₄	1	1	yes	characteristic
209	C₁₉×#121	C₂³	1	2	yes	—
210	C₁₉×#121	C₂³	1	2	yes	—
211	C₁₉×#121	C₂³	1	2	yes	—
212	C₁₉×#121	C₂³	1	2	yes	—
213	C₁₉×#121	C₂³	1	2	yes	—
214	C₁₉×#121	C₂³	1	2	yes	—
215	C₁₉×#121	C₂³	1	2	yes	—
216	C₁₉×#121	C₂³	1	2	yes	—
217	C₁₉×#121	C₂³	1	2	yes	—
218	C₁₉×#120	—	2	2	no	—
219	C₁₉×#120	—	2	2	no	—
220	C₁₉×#120	—	2	2	no	—
221	C₁₉×#120	—	2	2	no	—
222	C₁₉×#120	—	2	2	no	—
223	C₁₉×#120	—	2	2	no	—
224	C₁₉×#120	—	2	2	no	—
225	C₁₉×#120	D₄	1	2	yes	—
226	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
227	C₄×D₄×C₁₉	—	2	2	no	—
228	C₄×D₄×C₁₉	—	2	2	no	—
229	C₄×D₄×C₁₉	—	2	2	no	—
230	C₄×D₄×C₁₉	—	2	2	no	—
231	C₄×D₄×C₁₉	C₂³	1	2	yes	—
232	C₄×D₄×C₁₉	C₂³	1	2	yes	—
233	C₄×D₄×C₁₉	C₂³	1	2	yes	—
234	C₄×D₄×C₁₉	C₂³	1	2	yes	—
235	C₄×D₄×C₁₉	C₂³	1	2	yes	—
236	C₁₉×#117	C₂³	1	2	yes	—
237	C₁₉×#117	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
239	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
243	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
245	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
246	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
247	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
248	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
249	C₁₉×#107	C₂³	1	2	yes	—
250	C₁₉×#107	C₂³	1	2	yes	—
251	C₁₉×#107	C₂³	1	2	yes	—
252	C₁₉×#107	C₂³	1	2	yes	—
253	C₁₉×#106	C₂³	1	2	yes	—
254	C₁₉×#106	C₂³	1	2	yes	—
255	C₁₉×#106	C₂³	1	2	yes	—
256	C₁₉×#106	C₂³	1	2	yes	—
257	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
258	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
259	C₁₉×#103	C₂³	1	2	yes	—
260	C₁₉×#103	C₂³	1	2	yes	—
261	C₁₉×#103	C₂³	1	2	yes	—
262	C₁₉×#103	C₂³	1	2	yes	—
263	C₁₉×#102	C₂³	1	2	yes	—
264	C₁₉×#102	C₂³	1	2	yes	—
265	C₁₉×#102	C₂³	1	2	yes	—
266	C₁₉×#102	C₂³	1	2	yes	—
267	C₁₉×#102	C₂³	1	2	yes	—
268	C₁₉×#102	C₂³	1	2	yes	—
269	C₁₉×#102	C₂³	1	2	yes	—
270	C₁₉×#102	C₂³	1	2	yes	—
271	C₁₉×#102	C₂³	1	2	yes	—
272	C₁₉×#102	C₂³	1	2	yes	—
273	C₁₉×#102	C₂³	1	2	yes	—
274	C₁₉×#102	C₂³	1	2	yes	—
275	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
276	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
277	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
279	C₁₉×#97	C₂³	1	2	yes	—
280	C₄×C₈×C₁₉	C₂³	1	2	yes	—
281	C₂⁴×C₁₉	—	2	1	no	—
282	C₂⁴×C₁₉	—	2	1	no	—
283	C₂⁴×C₁₉	—	2	1	no	—
284	C₂⁴×C₁₉	—	2	2	no	—
285	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
286	#41×C₁₉	—	4	1	no	—
287	#41×C₁₉	—	4	1	no	—
288	#41×C₁₉	—	4	2	no	—
289	#41×C₁₉	—	4	2	no	—
290	#41×C₁₉	—	8	4	no	—
291	C₂×Q₈×C₁₉	—	2	1	no	—
292	C₂×Q₈×C₁₉	—	2	2	no	—
293	C₂×Q₈×C₁₉	—	4	1	no	—
294	C₂×Q₈×C₁₉	—	4	1	no	—
295	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
296	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
297	C₂×D₄×C₁₉	—	2	2	no	—
298	C₂×D₄×C₁₉	—	2	2	no	—
299	C₂×D₄×C₁₉	—	2	2	no	—
300	C₂×D₄×C₁₉	—	2	2	no	—
301	C₂×D₄×C₁₉	—	2	2	no	—
302	C₂×D₄×C₁₉	—	2	2	no	—
303	C₂×D₄×C₁₉	—	2	2	no	—
304	C₂×D₄×C₁₉	—	2	2	no	—
305	C₂×D₄×C₁₉	—	2	2	no	—
306	C₂×D₄×C₁₉	—	2	2	no	—
307	C₂×D₄×C₁₉	—	2	1	no	—
308	C₂×D₄×C₁₉	—	2	1	no	—
309	C₂×D₄×C₁₉	—	2	2	no	—
310	C₂×D₄×C₁₉	—	2	2	no	—
311	C₂×D₄×C₁₉	—	2	2	no	—
312	C₂×D₄×C₁₉	—	2	1	no	—
313	C₂×D₄×C₁₉	—	4	1	no	—
314	C₂×D₄×C₁₉	—	4	1	no	—
315	C₂×D₄×C₁₉	—	4	1	no	—
316	C₂×D₄×C₁₉	—	4	2	no	—
317	C₂×D₄×C₁₉	—	4	1	no	—
318	C₂×D₄×C₁₉	—	4	1	no	—
319	C₂×D₄×C₁₉	—	4	1	no	—
320	C₂×D₄×C₁₉	—	4	2	no	—
321	C₂×D₄×C₁₉	—	8	4	no	—
322	C₂×D₄×C₁₉	—	8	4	no	—
323	C₂×D₄×C₁₉	—	8	2	no	—
324	C₂×D₄×C₁₉	—	8	2	no	—
325	C₂×D₄×C₁₉	—	8	2	no	—
326	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
327	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
328	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
329	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
330	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
331	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
332	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
333	C₂²×C₄×C₁₉	—	2	1	no	—
334	C₂²×C₄×C₁₉	—	2	1	no	—
335	C₂²×C₄×C₁₉	—	2	1	no	—
336	C₂²×C₄×C₁₉	—	2	1	no	—
337	C₂²×C₄×C₁₉	—	2	1	no	—
338	C₂²×C₄×C₁₉	—	2	2	no	—
339	C₂²×C₄×C₁₉	—	2	2	no	—
340	C₂²×C₄×C₁₉	—	2	2	no	—
341	C₂²×C₄×C₁₉	—	2	2	no	—
342	C₂²×C₄×C₁₉	—	2	2	no	—
343	C₂²×C₄×C₁₉	—	4	1	no	—
344	C₂²×C₄×C₁₉	—	4	1	no	—
345	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
346	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
348	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
352	SD₁₆×C₁₉	—	2	4	no	—
353	SD₁₆×C₁₉	—	4	2	no	—
354	SD₁₆×C₁₉	—	4	2	no	—
355	SD₁₆×C₁₉	—	4	2	no	—
356	D₈×C₁₉	—	2	4	no	—
357	D₈×C₁₉	—	4	2	no	—
358	D₈×C₁₉	—	4	2	no	—
359	D₈×C₁₉	—	4	2	no	—
360	M₁₆×C₁₉	—	2	4	no	—
361	M₁₆×C₁₉	—	4	1	no	—
362	M₁₆×C₁₉	—	4	1	no	—
363	C₂×C₈×C₁₉	—	2	2	no	—
364	C₂×C₈×C₁₉	—	2	2	no	—
365	C₂×C₈×C₁₉	—	2	2	no	—
366	C₂×C₈×C₁₉	—	4	1	no	—
367	C₂×C₈×C₁₉	—	4	1	no	—
368	C₂×C₈×C₁₉	—	4	1	no	—
369	C₂×C₈×C₁₉	—	4	2	no	—
370	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
374	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
375	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
376	C₄⋊C₄×C₁₉	—	2	2	no	—
377	C₄⋊C₄×C₁₉	—	2	2	no	—
378	C₄⋊C₄×C₁₉	—	2	1	no	—
379	C₄⋊C₄×C₁₉	—	2	1	no	—
380	C₄⋊C₄×C₁₉	—	2	1	no	—
381	C₄⋊C₄×C₁₉	—	2	2	no	—
382	C₄⋊C₄×C₁₉	—	2	1	no	—
383	C₄⋊C₄×C₁₉	—	2	2	no	—
384	C₄⋊C₄×C₁₉	—	2	2	no	—
385	C₄⋊C₄×C₁₉	—	2	2	no	—
386	C₄⋊C₄×C₁₉	—	2	2	no	—
387	C₄⋊C₄×C₁₉	—	2	2	no	—
388	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
389	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
390	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
391	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
392	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
393	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
394	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
395	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
396	C₂²⋊C₄×C₁₉	—	2	2	no	—
397	C₂²⋊C₄×C₁₉	—	2	2	no	—
398	C₂²⋊C₄×C₁₉	—	2	2	no	—
399	C₂²⋊C₄×C₁₉	—	2	2	no	—
400	C₂²⋊C₄×C₁₉	—	2	2	no	—
401	C₂²⋊C₄×C₁₉	—	2	2	no	—
402	C₂²⋊C₄×C₁₉	—	2	2	no	—
403	C₂²⋊C₄×C₁₉	—	2	2	no	—
404	C₂²⋊C₄×C₁₉	—	2	2	no	—
405	C₂²⋊C₄×C₁₉	—	2	2	no	—
406	C₂²⋊C₄×C₁₉	—	2	2	no	—
407	C₂²⋊C₄×C₁₉	—	2	2	no	—
408	C₂²⋊C₄×C₁₉	—	2	2	no	—
409	C₂²⋊C₄×C₁₉	—	2	2	no	—
410	C₂²⋊C₄×C₁₉	—	2	2	no	—
411	C₂²⋊C₄×C₁₉	—	2	2	no	—
412	C₂²⋊C₄×C₁₉	—	2	2	no	—
413	C₂²⋊C₄×C₁₉	—	2	2	no	—
414	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
415	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
416	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
417	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
418	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
419	C₄²×C₁₉	—	2	2	no	—
420	C₄²×C₁₉	—	2	2	no	—
421	C₄²×C₁₉	C₂⁴	1	2	yes	—
422	#62280	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
423	C₂³×C₁₉	—	2	2	no	—
424	C₂³×C₁₉	—	2	2	no	—
425	C₂³×C₁₉	—	2	2	no	—
426	C₂³×C₁₉	—	2	2	no	—
427	C₂³×C₁₉	—	2	2	no	—
428	C₂³×C₁₉	—	4	1	no	—
429	C₂³×C₁₉	—	4	2	no	—
430	C₂³×C₁₉	—	4	2	no	—
431	C₂³×C₁₉	—	4	2	no	—
432	C₂³×C₁₉	—	8	1	no	—
433	C₂³×C₁₉	—	8	1	no	—
434	C₂³×C₁₉	—	8	1	no	—
435	C₂³×C₁₉	—	8	2	no	—
436	C₂³×C₁₉	—	8	1	no	—
437	C₂³×C₁₉	—	8	1	no	—
438	C₂³×C₁₉	—	8	1	no	—
439	C₂³×C₁₉	—	8	2	no	—
440	C₂³×C₁₉	—	8	2	no	—
441	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
442	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
443	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
444	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
445	Q₈×C₁₉	—	2	2	no	—
446	Q₈×C₁₉	—	2	2	no	—
447	Q₈×C₁₉	—	4	1	no	—
448	Q₈×C₁₉	—	8	1	no	—
449	Q₈×C₁₉	—	8	2	no	—
450	D₄×C₁₉	—	2	4	no	—
451	D₄×C₁₉	—	2	4	no	—
452	D₄×C₁₉	—	2	2	no	—
453	D₄×C₁₉	—	2	2	no	—
454	D₄×C₁₉	—	2	2	no	—
455	D₄×C₁₉	—	2	2	no	—
456	D₄×C₁₉	—	2	2	no	—
457	D₄×C₁₉	—	2	2	no	—
458	D₄×C₁₉	—	4	1	no	—
459	D₄×C₁₉	—	4	2	no	—
460	D₄×C₁₉	—	4	4	no	—
461	D₄×C₁₉	—	4	4	no	—
462	D₄×C₁₉	—	4	4	no	—
463	D₄×C₁₉	—	8	1	no	—
464	D₄×C₁₉	—	8	1	no	—
465	D₄×C₁₉	—	8	1	no	—
466	D₄×C₁₉	—	8	2	no	—
467	D₄×C₁₉	—	8	2	no	—
468	D₄×C₁₉	—	8	2	no	—
469	D₄×C₁₉	—	8	2	no	—
470	D₄×C₁₉	—	8	2	no	—
471	D₄×C₁₉	—	8	2	no	—
472	D₄×C₁₉	—	8	2	no	—
473	D₄×C₁₉	—	8	2	no	—
474	D₄×C₁₉	—	8	2	no	—
475	D₄×C₁₉	—	8	2	no	—
476	C₂×C₄×C₁₉	—	2	1	no	—
477	C₂×C₄×C₁₉	—	2	1	no	—
478	C₂×C₄×C₁₉	—	2	1	no	—
479	C₂×C₄×C₁₉	—	2	2	no	—
480	C₂×C₄×C₁₉	—	2	1	no	—
481	C₂×C₄×C₁₉	—	2	1	no	—
482	C₂×C₄×C₁₉	—	2	1	no	—
483	C₂×C₄×C₁₉	—	2	2	no	—
484	C₂×C₄×C₁₉	—	2	2	no	—
485	C₂×C₄×C₁₉	—	2	2	no	—
486	C₂×C₄×C₁₉	—	2	2	no	—
487	C₂×C₄×C₁₉	—	2	2	no	—
488	C₂×C₄×C₁₉	—	2	2	no	—
489	C₂×C₄×C₁₉	—	4	1	no	—
490	C₂×C₄×C₁₉	—	4	1	no	—
491	C₂×C₄×C₁₉	—	4	1	no	—
492	C₂×C₄×C₁₉	—	4	2	no	—
493	C₂×C₄×C₁₉	—	8	2	no	—
494	C₂×C₄×C₁₉	—	8	2	no	—
495	C₂×C₄×C₁₉	—	8	2	no	—
496	C₂×C₄×C₁₉	—	8	2	no	—
497	C₂×C₄×C₁₉	—	8	1	no	—
498	C₂×C₄×C₁₉	—	8	1	no	—
499	C₂×C₄×C₁₉	—	8	1	no	—
500	C₂×C₄×C₁₉	—	8	1	no	—
501	C₂×C₄×C₁₉	—	8	2	no	—
502	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
503	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
504	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
505	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
508	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
509	C₈×C₁₉	—	2	1	no	—
510	C₈×C₁₉	—	2	1	no	—
511	C₈×C₁₉	—	2	1	no	—
512	C₈×C₁₉	—	2	2	no	—
513	C₈×C₁₉	—	2	2	no	—
514	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
515	#3537	C₂×C₁₉	1	1	yes	characteristic, complemented
516	#3536	C₂×C₁₉	1	1	yes	characteristic, complemented
517	#3346	C₂×C₁₉	1	2	yes	complemented
518	#3345	C₂×C₁₉	1	2	yes	complemented
519	#3301	C₂×C₁₉	1	2	yes	complemented
520	#3297	C₂×C₁₉	1	2	yes	complemented
521	#3295	C₂×C₁₉	1	2	yes	complemented
522	#3294	C₂×C₁₉	1	2	yes	complemented
523	#3265	C₂×C₁₉	1	2	yes	complemented
524	#3264	C₂×C₁₉	1	2	yes	complemented
525	#3257	C₂×C₁₉	1	2	yes	complemented
526	#3198	C₂×C₁₉	1	2	yes	complemented
527	#3193	C₂×C₁₉	1	1	yes	characteristic, complemented
528	#3192	C₂×C₁₉	1	1	yes	characteristic, complemented
529	#3179	C₂×C₁₉	1	2	yes	complemented
530	#3062	C₂×C₁₉	1	2	yes	complemented
531	C₂×#466	C₂×C₁₉	1	1	yes	characteristic, complemented
532	C₂×#465	C₂×C₁₉	1	1	yes	characteristic, complemented
533	#2929	C₂×C₁₉	1	1	yes	characteristic, complemented
534	C₂²×C₁₉	—	2	1	no	—
535	C₂²×C₁₉	—	2	1	no	—
536	C₂²×C₁₉	—	2	1	no	—
537	C₂²×C₁₉	—	2	1	no	—
538	C₂²×C₁₉	—	2	1	no	—
539	C₂²×C₁₉	—	2	2	no	—
540	C₂²×C₁₉	—	2	2	no	—
541	C₂²×C₁₉	—	2	1	no	—
542	C₂²×C₁₉	—	2	2	no	—
543	C₂²×C₁₉	—	2	1	no	—
544	C₂²×C₁₉	—	4	4	no	—
545	C₂²×C₁₉	—	4	2	no	—
546	C₂²×C₁₉	—	4	2	no	—
547	C₂²×C₁₉	—	4	2	no	—
548	C₂²×C₁₉	—	4	2	no	—
549	C₂²×C₁₉	—	4	2	no	—
550	C₂²×C₁₉	—	4	2	no	—
551	C₂²×C₁₉	—	4	2	no	—
552	C₂²×C₁₉	—	4	2	no	—
553	C₂²×C₁₉	—	4	2	no	—
554	C₂²×C₁₉	—	16	2	no	—
555	C₂²×C₁₉	—	16	2	no	—
556	C₂²×C₁₉	—	16	2	no	—
557	C₂²×C₁₉	—	16	4	no	—
558	C₂²×C₁₉	#576	1	2	yes	—
559	C₂²×C₁₉	#577	1	2	yes	—
560	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
561	C₄×C₁₉	—	2	1	no	—
562	C₄×C₁₉	—	2	1	no	—
563	C₄×C₁₉	—	2	1	no	—
564	C₄×C₁₉	—	2	2	no	—
565	C₄×C₁₉	—	2	2	no	—
566	C₄×C₁₉	—	2	2	no	—
567	C₄×C₁₉	—	4	2	no	—
568	C₄×C₁₉	—	4	2	no	—
569	C₄×C₁₉	—	4	2	no	—
570	C₄×C₁₉	—	4	2	no	—
571	C₄×C₁₉	—	4	2	no	—
572	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
573	C₄×C₁₉	#585	1	1	yes	characteristic
574	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
575	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
576	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
577	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
578	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
579	#562	—	2	2	no	—
580	#560	—	2	2	no	—
581	#554	C₂²×C₁₉	1	2	yes	complemented
582	#553	C₂²×C₁₉	1	2	yes	—
583	#553	C₂²×C₁₉	1	2	yes	complemented
584	#548	C₂²×C₁₉	1	2	yes	complemented
585	#547	C₂²×C₁₉	1	2	yes	complemented
586	#546	—	2	2	no	—
587	#546	C₂²×C₁₉	1	2	yes	complemented
588	D₄²	—	2	2	no	—
589	D₄²	C₂²×C₁₉	1	2	yes	—
590	D₄²	C₂²×C₁₉	1	2	yes	complemented
591	#543	—	2	1	no	—
592	#542	C₂²×C₁₉	1	2	yes	complemented
593	#540	C₂²×C₁₉	1	2	yes	complemented
594	#539	—	2	1	no	—
595	#538	—	2	1	no	—
596	#538	—	2	1	no	—
597	#538	—	2	1	no	—
598	#537	—	2	1	no	—
599	#537	C₂²×C₁₉	1	2	yes	complemented
600	#535	C₂²×C₁₉	1	2	yes	complemented
601	#534	—	2	1	no	—
602	#534	—	2	1	no	—
603	#525	C₂²×C₁₉	1	1	yes	characteristic
604	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
605	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
606	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
607	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic, complemented
608	#501	C₂²×C₁₉	1	2	yes	complemented
609	#496	C₂²×C₁₉	1	2	yes	complemented
610	#488	C₂²×C₁₉	1	2	yes	complemented
611	#486	C₂²×C₁₉	1	2	yes	complemented
612	#485	C₂²×C₁₉	1	2	yes	complemented
613	#484	C₂²×C₁₉	1	2	yes	complemented
614	#482	C₂²×C₁₉	1	2	yes	complemented
615	#481	C₂²×C₁₉	1	2	yes	complemented
616	#481	C₂²×C₁₉	1	2	yes	complemented
617	#481	C₂²×C₁₉	1	2	yes	complemented
618	#480	C₂²×C₁₉	1	2	yes	complemented
619	#480	C₂²×C₁₉	1	2	yes	complemented
620	#479	C₂²×C₁₉	1	2	yes	complemented
621	#478	C₂²×C₁₉	1	2	yes	complemented
622	#476	C₂²×C₁₉	1	2	yes	complemented
623	#474	C₂²×C₁₉	1	2	yes	complemented
624	#469	C₂²×C₁₉	1	2	yes	complemented
625	#469	C₂²×C₁₉	1	2	yes	complemented
626	#469	C₂²×C₁₉	1	2	yes	complemented
627	#468	C₂²×C₁₉	1	2	yes	complemented
628	#468	C₂²×C₁₉	1	2	yes	complemented
629	#468	C₂²×C₁₉	1	2	yes	complemented
630	#466	C₂²×C₁₉	1	2	yes	complemented
631	#466	C₂²×C₁₉	1	2	yes	complemented
632	#466	C₂²×C₁₉	1	2	yes	complemented
633	#466	C₂²×C₁₉	1	2	yes	complemented
634	#466	C₂²×C₁₉	1	2	yes	complemented
635	#465	C₂²×C₁₉	1	2	yes	complemented
636	#465	C₂²×C₁₉	1	2	yes	complemented
637	#465	C₂²×C₁₉	1	2	yes	complemented
638	#465	C₂²×C₁₉	1	2	yes	complemented
639	#465	C₂²×C₁₉	1	2	yes	complemented
640	#463	C₂²×C₁₉	1	2	yes	complemented
641	#463	C₂²×C₁₉	1	2	yes	complemented
642	#460	C₂²×C₁₉	1	2	yes	complemented
643	#459	C₂²×C₁₉	1	2	yes	complemented
644	#450	C₂²×C₁₉	1	2	yes	complemented
645	#450	C₂²×C₁₉	1	2	yes	complemented
646	#449	C₂²×C₁₉	1	2	yes	complemented
647	#449	C₂²×C₁₉	1	2	yes	complemented
648	#448	C₂²×C₁₉	1	2	yes	complemented
649	#447	C₂²×C₁₉	1	2	yes	complemented
650	#447	C₂²×C₁₉	1	2	yes	complemented
651	#447	C₂²×C₁₉	1	2	yes	complemented
652	#442	C₂²×C₁₉	1	2	yes	complemented
653	#440	C₂²×C₁₉	1	2	yes	complemented
654	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
655	C₄×D₈	C₂²×C₁₉	1	2	yes	complemented
656	#435	C₂²×C₁₉	1	2	yes	complemented
657	#435	C₂²×C₁₉	1	2	yes	complemented
658	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
659	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
660	#428	C₂²×C₁₉	1	2	yes	complemented
661	C₂×#107	C₂²×C₁₉	1	1	yes	characteristic, complemented
662	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
663	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
664	#416	C₂²×C₁₉	1	2	yes	complemented
665	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
666	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
667	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
668	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
669	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
670	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
671	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
672	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
673	C₂×C₁₉	—	2	2	no	—
674	C₂×C₁₉	—	2	2	no	—
675	C₂×C₁₉	—	4	1	no	—
676	C₂×C₁₉	—	4	2	no	—
677	C₂×C₁₉	—	8	2	no	—
678	C₂×C₁₉	—	8	2	no	—
679	C₂×C₁₉	—	8	2	no	—
680	C₂×C₁₉	#3496	1	1	yes	characteristic
681	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
682	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
683	C₂×#41	—	2	2	no	—
684	C₂×#41	C₂³×C₁₉	1	2	yes	—
685	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
686	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
687	C₂²×D₄	—	2	1	no	—
688	C₂²×D₄	—	2	1	no	—
689	C₂²×D₄	—	2	1	no	—
690	C₂²×D₄	—	2	2	no	—
691	C₂²×D₄	—	2	2	no	—
692	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
693	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
694	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
695	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
696	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
697	AGL(1,ℤ/8)	—	4	4	no	—
698	C₂×SD₁₆	—	4	2	no	—
699	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
700	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
701	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
702	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
703	C₂×D₈	—	4	2	no	—
704	C₂×D₈	C₂³×C₁₉	1	2	yes	—
705	C₂×D₈	C₂³×C₁₉	1	2	yes	—
706	C₂×D₈	C₂³×C₁₉	1	2	yes	—
707	C₂×D₈	C₂³×C₁₉	1	2	yes	—
708	#131	—	4	2	no	—
709	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
710	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
711	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
712	C₂²×C₈	—	4	2	no	—
713	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
714	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
715	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
716	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
717	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
718	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
719	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
720	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
721	#127	—	2	2	no	—
722	#127	C₂³×C₁₉	1	2	yes	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#125	—	2	2	no	—
727	#125	C₂³×C₁₉	1	2	yes	—
728	#124	—	2	2	no	—
729	#124	—	2	2	no	—
730	#124	—	2	2	no	—
731	#124	C₂³×C₁₉	1	2	yes	—
732	#123	—	2	2	no	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	D₄×C₁₉	1	2	yes	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
750	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
751	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
752	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
753	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
754	#121	—	2	2	no	—
755	#121	—	2	2	no	—
756	#121	—	2	2	no	—
757	#121	—	2	2	no	—
758	#121	—	2	2	no	—
759	#121	—	2	2	no	—
760	#121	—	2	1	no	—
761	#121	—	2	1	no	—
762	#121	—	2	1	no	—
763	#121	—	2	1	no	—
764	#121	—	2	1	no	—
765	#121	—	2	1	no	—
766	#121	—	2	2	no	—
767	#121	—	2	2	no	—
768	#121	—	2	2	no	—
769	#121	—	2	2	no	—
770	#121	—	2	2	no	—
771	#121	D₄×C₁₉	1	1	yes	characteristic
772	#121	D₄×C₁₉	1	1	yes	characteristic
773	#121	C₂³×C₁₉	1	2	yes	—
774	#121	C₂³×C₁₉	1	2	yes	—
775	#121	C₂³×C₁₉	1	2	yes	—
776	#121	C₂³×C₁₉	1	2	yes	—
777	#121	C₂³×C₁₉	1	2	yes	—
778	#121	C₂³×C₁₉	1	2	yes	—
779	#121	C₂³×C₁₉	1	2	yes	—
780	#121	C₂³×C₁₉	1	2	yes	—
781	#121	C₂³×C₁₉	1	2	yes	—
782	#120	—	2	2	no	—
783	#120	—	2	2	no	—
784	#120	—	2	2	no	—
785	#120	—	2	2	no	—
786	#120	—	2	2	no	—
787	#120	—	2	2	no	—
788	#120	—	2	2	no	—
789	#120	D₄×C₁₉	1	2	yes	—
790	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	2	no	—
795	C₄×D₄	C₂³×C₁₉	1	2	yes	—
796	C₄×D₄	C₂³×C₁₉	1	2	yes	—
797	C₄×D₄	C₂³×C₁₉	1	2	yes	—
798	C₄×D₄	C₂³×C₁₉	1	2	yes	—
799	C₄×D₄	C₂³×C₁₉	1	2	yes	—
800	#117	C₂³×C₁₉	1	2	yes	—
801	#117	C₂³×C₁₉	1	1	yes	characteristic
802	C₂×C₄⋊C₄	—	2	1	no	—
803	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
804	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
807	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
808	C₂×C₂²⋊C₄	—	2	1	no	—
809	C₂×C₂²⋊C₄	—	2	1	no	—
810	C₂×C₂²⋊C₄	—	2	1	no	—
811	C₂×C₂²⋊C₄	—	2	1	no	—
812	C₂×C₂²⋊C₄	—	2	2	no	—
813	#107	C₂³×C₁₉	1	2	yes	—
814	#107	C₂³×C₁₉	1	2	yes	—
815	#107	C₂³×C₁₉	1	2	yes	—
816	#107	C₂³×C₁₉	1	2	yes	—
817	#106	C₂³×C₁₉	1	2	yes	—
818	#106	C₂³×C₁₉	1	2	yes	—
819	#106	C₂³×C₁₉	1	2	yes	—
820	#106	C₂³×C₁₉	1	2	yes	—
821	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
822	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
823	#103	C₂³×C₁₉	1	2	yes	—
824	#103	C₂³×C₁₉	1	2	yes	—
825	#103	C₂³×C₁₉	1	2	yes	—
826	#103	C₂³×C₁₉	1	2	yes	—
827	#102	C₂³×C₁₉	1	2	yes	—
828	#102	C₂³×C₁₉	1	2	yes	—
829	#102	C₂³×C₁₉	1	2	yes	—
830	#102	C₂³×C₁₉	1	2	yes	—
831	#102	C₂³×C₁₉	1	2	yes	—
832	#102	C₂³×C₁₉	1	2	yes	—
833	#102	C₂³×C₁₉	1	2	yes	—
834	#102	C₂³×C₁₉	1	2	yes	—
835	#102	C₂³×C₁₉	1	2	yes	—
836	#102	C₂³×C₁₉	1	2	yes	—
837	#102	C₂³×C₁₉	1	2	yes	—
838	#102	C₂³×C₁₉	1	2	yes	—
839	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
840	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
841	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
842	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
843	#97	C₂³×C₁₉	1	2	yes	—
844	C₄×C₈	C₂³×C₁₉	1	2	yes	—
845	C₁₉	#62280	1	1	yes	characteristic, direct product factor, Sylow
846	C₂⁴	—	2	1	no	—
847	C₂⁴	—	2	1	no	—
848	C₂⁴	—	2	1	no	—
849	C₂⁴	—	2	2	no	—
850	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
851	#41	—	4	1	no	—
852	#41	—	4	1	no	—
853	#41	—	4	2	no	—
854	#41	—	4	2	no	—
855	#41	—	8	4	no	—
856	C₂×Q₈	—	2	1	no	—
857	C₂×Q₈	—	2	2	no	—
858	C₂×Q₈	—	4	1	no	—
859	C₂×Q₈	—	4	1	no	—
860	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
861	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	2	no	—
867	C₂×D₄	—	2	2	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	2	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	1	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	1	no	—
878	C₂×D₄	—	4	1	no	—
879	C₂×D₄	—	4	1	no	—
880	C₂×D₄	—	4	1	no	—
881	C₂×D₄	—	4	2	no	—
882	C₂×D₄	—	4	1	no	—
883	C₂×D₄	—	4	1	no	—
884	C₂×D₄	—	4	1	no	—
885	C₂×D₄	—	4	2	no	—
886	C₂×D₄	—	8	4	no	—
887	C₂×D₄	—	8	4	no	—
888	C₂×D₄	—	8	2	no	—
889	C₂×D₄	—	8	2	no	—
890	C₂×D₄	—	8	2	no	—
891	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
892	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
893	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
894	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
895	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
896	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
897	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	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	—	4	1	no	—
909	C₂²×C₄	—	4	1	no	—
910	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
911	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
912	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
913	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
914	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
915	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
916	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
917	SD₁₆	—	2	4	no	—
918	SD₁₆	—	4	2	no	—
919	SD₁₆	—	4	2	no	—
920	SD₁₆	—	4	2	no	—
921	D₈	—	2	4	no	—
922	D₈	—	4	2	no	—
923	D₈	—	4	2	no	—
924	D₈	—	4	2	no	—
925	M₁₆	—	2	4	no	—
926	M₁₆	—	4	1	no	—
927	M₁₆	—	4	1	no	—
928	C₂×C₈	—	2	2	no	—
929	C₂×C₈	—	2	2	no	—
930	C₂×C₈	—	2	2	no	—
931	C₂×C₈	—	4	1	no	—
932	C₂×C₈	—	4	1	no	—
933	C₂×C₈	—	4	1	no	—
934	C₂×C₈	—	4	2	no	—
935	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
937	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
954	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
955	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
956	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
957	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
958	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
959	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
960	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
980	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
982	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
983	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
984	C₄²	—	2	2	no	—
985	C₄²	—	2	2	no	—
986	C₄²	C₂⁴×C₁₉	1	2	yes	—
987	C₂³	—	2	2	no	—
988	C₂³	—	2	2	no	—
989	C₂³	—	2	2	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	4	1	no	—
993	C₂³	—	4	2	no	—
994	C₂³	—	4	2	no	—
995	C₂³	—	4	2	no	—
996	C₂³	—	8	1	no	—
997	C₂³	—	8	1	no	—
998	C₂³	—	8	1	no	—
999	C₂³	—	8	2	no	—
1000	C₂³	—	8	1	no	—
1001	C₂³	—	8	1	no	—
1002	C₂³	—	8	1	no	—
1003	C₂³	—	8	2	no	—
1004	C₂³	—	8	2	no	—
1005	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1006	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1007	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1008	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	2	no	—
1011	Q₈	—	4	1	no	—
1012	Q₈	—	8	1	no	—
1013	Q₈	—	8	2	no	—
1014	D₄	—	2	4	no	—
1015	D₄	—	2	4	no	—
1016	D₄	—	2	2	no	—
1017	D₄	—	2	2	no	—
1018	D₄	—	2	2	no	—
1019	D₄	—	2	2	no	—
1020	D₄	—	2	2	no	—
1021	D₄	—	2	2	no	—
1022	D₄	—	4	1	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	4	4	no	—
1025	D₄	—	4	4	no	—
1026	D₄	—	4	4	no	—
1027	D₄	—	8	1	no	—
1028	D₄	—	8	1	no	—
1029	D₄	—	8	1	no	—
1030	D₄	—	8	2	no	—
1031	D₄	—	8	2	no	—
1032	D₄	—	8	2	no	—
1033	D₄	—	8	2	no	—
1034	D₄	—	8	2	no	—
1035	D₄	—	8	2	no	—
1036	D₄	—	8	2	no	—
1037	D₄	—	8	2	no	—
1038	D₄	—	8	2	no	—
1039	D₄	—	8	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	4	1	no	—
1054	C₂×C₄	—	4	1	no	—
1055	C₂×C₄	—	4	1	no	—
1056	C₂×C₄	—	4	2	no	—
1057	C₂×C₄	—	8	2	no	—
1058	C₂×C₄	—	8	2	no	—
1059	C₂×C₄	—	8	2	no	—
1060	C₂×C₄	—	8	2	no	—
1061	C₂×C₄	—	8	1	no	—
1062	C₂×C₄	—	8	1	no	—
1063	C₂×C₄	—	8	1	no	—
1064	C₂×C₄	—	8	1	no	—
1065	C₂×C₄	—	8	2	no	—
1066	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1067	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1068	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1070	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1072	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1073	C₈	—	2	1	no	—
1074	C₈	—	2	1	no	—
1075	C₈	—	2	1	no	—
1076	C₈	—	2	2	no	—
1077	C₈	—	2	2	no	—
1078	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	4	4	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	2	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	16	2	no	—
1100	C₂²	—	16	2	no	—
1101	C₂²	—	16	2	no	—
1102	C₂²	—	16	4	no	—
1103	C₂²	C₁₉×#576	1	2	yes	—
1104	C₂²	C₁₉×#577	1	2	yes	—
1105	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1106	C₄	—	2	1	no	—
1107	C₄	—	2	1	no	—
1108	C₄	—	2	1	no	—
1109	C₄	—	2	2	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	2	2	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	2	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	2	no	—
1116	C₄	—	4	2	no	—
1117	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1118	C₄	C₁₉×#585	1	1	yes	characteristic
1119	C₂	—	2	2	no	—
1120	C₂	—	2	2	no	—
1121	C₂	—	4	1	no	—
1122	C₂	—	4	2	no	—
1123	C₂	—	8	2	no	—
1124	C₂	—	8	2	no	—
1125	C₂	—	8	2	no	—
1126	C₂	C₁₉×#3496	1	1	yes	characteristic
1127	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
1128	C₂	C₂×C₁₉×#577	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×#3537	C₂	semidirect
2. C₁₉×#3536	C₂	semidirect
3. C₁₉×#3346	C₂	semidirect
4. C₁₉×#3345	C₂	semidirect
5. C₁₉×#3301	C₂	semidirect
6. C₁₉×#3297	C₂	semidirect
7. C₁₉×#3295	C₂	semidirect
8. C₁₉×#3294	C₂	semidirect
9. C₁₉×#3265	C₂	semidirect
10. C₁₉×#3264	C₂	semidirect
11. C₁₉×#3257	C₂	semidirect
12. C₁₉×#3198	C₂	semidirect
13. C₁₉×#3193	C₂	semidirect
14. C₁₉×#3192	C₂	semidirect
15. C₁₉×#3179	C₂	semidirect
16. C₁₉×#3062	C₂	semidirect
17. C₂×C₁₉×#466	C₂	semidirect
18. C₂×C₁₉×#465	C₂	semidirect
19. C₁₉×#2929	C₂	semidirect
20. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂²×SD₁₆×C₁₉	C₂²	semidirect
22. C₂²×D₈×C₁₉	C₂²	semidirect
23. C₂×C₁₉×#131	C₂²	semidirect
24. C₂³×C₈×C₁₉	C₂²	semidirect
27. C₁₉×#554	C₂²	semidirect
29. C₁₉×#553	C₂²	semidirect
30. C₁₉×#548	C₂²	semidirect
31. C₁₉×#547	C₂²	semidirect
33. C₁₉×#546	C₂²	semidirect
36. D₄²×C₁₉	C₂²	semidirect
38. C₁₉×#542	C₂²	semidirect
39. C₁₉×#540	C₂²	semidirect
45. C₁₉×#537	C₂²	semidirect
46. C₁₉×#535	C₂²	semidirect
50. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₁₉×#121	C₂²	semidirect
54. C₁₉×#501	C₂²	semidirect
55. C₁₉×#496	C₂²	semidirect
56. C₁₉×#488	C₂²	semidirect
57. C₁₉×#486	C₂²	semidirect
58. C₁₉×#485	C₂²	semidirect
59. C₁₉×#484	C₂²	semidirect
60. C₁₉×#482	C₂²	semidirect
61. C₁₉×#481	C₂²	semidirect
62. C₁₉×#481	C₂²	semidirect
63. C₁₉×#481	C₂²	semidirect
64. C₁₉×#480	C₂²	semidirect
65. C₁₉×#480	C₂²	semidirect
66. C₁₉×#479	C₂²	semidirect
67. C₁₉×#478	C₂²	semidirect
68. C₁₉×#476	C₂²	semidirect
69. C₁₉×#474	C₂²	semidirect
70. C₁₉×#469	C₂²	semidirect
71. C₁₉×#469	C₂²	semidirect
72. C₁₉×#469	C₂²	semidirect
73. C₁₉×#468	C₂²	semidirect
74. C₁₉×#468	C₂²	semidirect
75. C₁₉×#468	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×#465	C₂²	semidirect
85. C₁₉×#465	C₂²	semidirect
86. C₁₉×#463	C₂²	semidirect
87. C₁₉×#463	C₂²	semidirect
88. C₁₉×#460	C₂²	semidirect
89. C₁₉×#459	C₂²	semidirect
90. C₁₉×#450	C₂²	semidirect
91. C₁₉×#450	C₂²	semidirect
92. C₁₉×#449	C₂²	semidirect
93. C₁₉×#449	C₂²	semidirect
94. C₁₉×#448	C₂²	semidirect
95. C₁₉×#447	C₂²	semidirect
96. C₁₉×#447	C₂²	semidirect
97. C₁₉×#447	C₂²	semidirect
98. C₁₉×#442	C₂²	semidirect
99. C₁₉×#440	C₂²	semidirect
100. C₄×SD₁₆×C₁₉	C₂²	semidirect
101. C₄×D₈×C₁₉	C₂²	semidirect
102. C₁₉×#435	C₂²	semidirect
103. C₁₉×#435	C₂²	semidirect
104. C₈×D₄×C₁₉	C₂²	semidirect
105. C₈×D₄×C₁₉	C₂²	semidirect
106. C₁₉×#428	C₂²	semidirect
107. C₂×C₁₉×#107	C₂²	semidirect
108. C₂×C₁₉×#106	C₂²	semidirect
109. C₁₉×#424	C₂²	semidirect
110. C₁₉×#416	C₂²	semidirect
111. C₂×C₁₉×#103	C₂²	semidirect
112. C₂×C₁₉×#102	C₂²	semidirect
113. C₂×C₁₉×#102	C₂²	semidirect
114. C₂×C₁₉×#102	C₂²	semidirect
115. C₂×C₁₉×#102	C₂²	semidirect
116. C₁₉×#408	C₂²	semidirect
117. C₁₉×#407	C₂²	semidirect
118. C₁₉×#405	C₂²	semidirect
422. #62280	C₁₉	direct (N × H)
515. #3537	C₂×C₁₉	semidirect
516. #3536	C₂×C₁₉	semidirect
517. #3346	C₂×C₁₉	semidirect
518. #3345	C₂×C₁₉	semidirect
519. #3301	C₂×C₁₉	semidirect
520. #3297	C₂×C₁₉	semidirect
521. #3295	C₂×C₁₉	semidirect
522. #3294	C₂×C₁₉	semidirect
523. #3265	C₂×C₁₉	semidirect
524. #3264	C₂×C₁₉	semidirect
525. #3257	C₂×C₁₉	semidirect
526. #3198	C₂×C₁₉	semidirect
527. #3193	C₂×C₁₉	semidirect
528. #3192	C₂×C₁₉	semidirect
529. #3179	C₂×C₁₉	semidirect
530. #3062	C₂×C₁₉	semidirect
531. C₂×#466	C₂×C₁₉	semidirect
532. C₂×#465	C₂×C₁₉	semidirect
533. #2929	C₂×C₁₉	semidirect
574. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
575. C₂²×SD₁₆	C₂²×C₁₉	semidirect
576. C₂²×D₈	C₂²×C₁₉	semidirect
577. C₂×#131	C₂²×C₁₉	semidirect
578. C₂³×C₈	C₂²×C₁₉	semidirect
581. #554	C₂²×C₁₉	semidirect
583. #553	C₂²×C₁₉	semidirect
584. #548	C₂²×C₁₉	semidirect
585. #547	C₂²×C₁₉	semidirect
587. #546	C₂²×C₁₉	semidirect
590. D₄²	C₂²×C₁₉	semidirect
592. #542	C₂²×C₁₉	semidirect
593. #540	C₂²×C₁₉	semidirect
599. #537	C₂²×C₁₉	semidirect
600. #535	C₂²×C₁₉	semidirect
604. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
607. C₂×#121	C₂²×C₁₉	semidirect
608. #501	C₂²×C₁₉	semidirect
609. #496	C₂²×C₁₉	semidirect
610. #488	C₂²×C₁₉	semidirect
611. #486	C₂²×C₁₉	semidirect
612. #485	C₂²×C₁₉	semidirect
613. #484	C₂²×C₁₉	semidirect
614. #482	C₂²×C₁₉	semidirect
615. #481	C₂²×C₁₉	semidirect
616. #481	C₂²×C₁₉	semidirect
617. #481	C₂²×C₁₉	semidirect
618. #480	C₂²×C₁₉	semidirect
619. #480	C₂²×C₁₉	semidirect
620. #479	C₂²×C₁₉	semidirect
621. #478	C₂²×C₁₉	semidirect
622. #476	C₂²×C₁₉	semidirect
623. #474	C₂²×C₁₉	semidirect
624. #469	C₂²×C₁₉	semidirect
625. #469	C₂²×C₁₉	semidirect
626. #469	C₂²×C₁₉	semidirect
627. #468	C₂²×C₁₉	semidirect
628. #468	C₂²×C₁₉	semidirect
629. #468	C₂²×C₁₉	semidirect
630. #466	C₂²×C₁₉	semidirect
631. #466	C₂²×C₁₉	semidirect
632. #466	C₂²×C₁₉	semidirect
633. #466	C₂²×C₁₉	semidirect
634. #466	C₂²×C₁₉	semidirect
635. #465	C₂²×C₁₉	semidirect
636. #465	C₂²×C₁₉	semidirect
637. #465	C₂²×C₁₉	semidirect
638. #465	C₂²×C₁₉	semidirect
639. #465	C₂²×C₁₉	semidirect
640. #463	C₂²×C₁₉	semidirect
641. #463	C₂²×C₁₉	semidirect
642. #460	C₂²×C₁₉	semidirect
643. #459	C₂²×C₁₉	semidirect
644. #450	C₂²×C₁₉	semidirect
645. #450	C₂²×C₁₉	semidirect
646. #449	C₂²×C₁₉	semidirect
647. #449	C₂²×C₁₉	semidirect
648. #448	C₂²×C₁₉	semidirect
649. #447	C₂²×C₁₉	semidirect
650. #447	C₂²×C₁₉	semidirect
651. #447	C₂²×C₁₉	semidirect
652. #442	C₂²×C₁₉	semidirect
653. #440	C₂²×C₁₉	semidirect
654. C₄×SD₁₆	C₂²×C₁₉	semidirect
655. C₄×D₈	C₂²×C₁₉	semidirect
656. #435	C₂²×C₁₉	semidirect
657. #435	C₂²×C₁₉	semidirect
658. C₈×D₄	C₂²×C₁₉	semidirect
659. C₈×D₄	C₂²×C₁₉	semidirect
660. #428	C₂²×C₁₉	semidirect
661. C₂×#107	C₂²×C₁₉	semidirect
662. C₂×#106	C₂²×C₁₉	semidirect
663. #424	C₂²×C₁₉	semidirect
664. #416	C₂²×C₁₉	semidirect
665. C₂×#103	C₂²×C₁₉	semidirect
666. C₂×#102	C₂²×C₁₉	semidirect
667. C₂×#102	C₂²×C₁₉	semidirect
668. C₂×#102	C₂²×C₁₉	semidirect
669. C₂×#102	C₂²×C₁₉	semidirect
670. #408	C₂²×C₁₉	semidirect
671. #407	C₂²×C₁₉	semidirect
672. #405	C₂²×C₁₉	semidirect
845. C₁₉	#62280	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×#3537	2
C₁₉×#3536	2
C₁₉×#3346	2
C₁₉×#3345	2
C₁₉×#3301	2
C₁₉×#3297	2
C₁₉×#3295	2
C₁₉×#3294	2
C₁₉×#3265	2
C₁₉×#3264	2
C₁₉×#3257	2
C₁₉×#3198	2
C₁₉×#3193	2
C₁₉×#3192	2
C₁₉×#3179	2
C₁₉×#3062	2
C₂×C₁₉×#466	2
C₂×C₁₉×#465	2
C₁₉×#2929	2
#62280	19

Subgroups — C19×#62280 #18068239

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62280 #18068239