Subgroups — C₁₉×#62349 #18068308

Order 4864.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1232 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3549	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3354	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3347	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3340	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3325	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3324	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3319	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3318	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3305	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3294	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×D₈×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3264	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3247	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3245	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3199	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3198	C₂	1	2	yes	maximal, complemented
19	C₁₉×#3184	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3062	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3058	C₂	1	2	yes	maximal, complemented
23	C₁₉×#2935	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
25	C₂²×D₈×C₁₉	C₂²	1	2	yes	complemented
26	C₂×C₁₉×#131	C₂²	1	2	yes	complemented
27	C₁₉×H(3,𝔽₄)	—	2	2	no	—
28	C₁₉×#560	—	2	2	no	—
29	C₁₉×#556	C₂²	1	1	yes	characteristic, complemented
30	C₁₉×#555	—	2	1	no	—
31	C₁₉×#555	C₂²	1	1	yes	characteristic
32	C₁₉×#555	C₂²	1	1	yes	characteristic, complemented
33	C₁₉×#555	C₂²	1	2	yes	complemented
34	C₁₉×#553	C₂²	1	2	yes	complemented
35	C₁₉×#550	—	2	1	no	—
36	C₁₉×#550	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#547	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#546	—	2	1	no	—
39	C₁₉×#546	C₂²	1	2	yes	complemented
40	D₄²×C₁₉	—	2	1	no	—
41	D₄²×C₁₉	C₂²	1	1	yes	characteristic
42	D₄²×C₁₉	C₂²	1	2	yes	complemented
43	D₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
44	D₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×#542	—	2	1	no	—
46	C₁₉×#538	—	2	2	no	—
47	C₁₉×#537	C₂²	1	2	yes	complemented
48	C₁₉×#535	—	2	1	no	—
49	C₁₉×#535	—	2	1	no	—
50	C₁₉×#535	—	2	2	no	—
51	C₁₉×#535	—	2	1	no	—
52	C₁₉×#535	C₂²	1	2	yes	complemented
53	C₁₉×#535	C₂²	1	2	yes	complemented
54	C₁₉×#535	C₂²	1	2	yes	complemented
55	C₁₉×#532	C₂²	1	1	yes	characteristic
56	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
57	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
58	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
59	C₁₉×#529	C₂²	1	1	yes	characteristic, complemented
60	C₁₉×#501	C₂²	1	1	yes	characteristic, complemented
61	C₁₉×#498	C₂²	1	1	yes	characteristic, complemented
62	C₁₉×#496	C₂²	1	1	yes	characteristic
63	C₁₉×#493	C₂²	1	1	yes	characteristic
64	C₁₉×#490	C₂²	1	1	yes	characteristic, complemented
65	C₁₉×#489	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₉×#486	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×#485	C₂²	1	2	yes	complemented
69	C₁₉×#482	C₂²	1	2	yes	complemented
70	C₁₉×#482	C₂²	1	2	yes	complemented
71	C₁₉×#482	C₂²	1	2	yes	complemented
72	C₁₉×#482	C₂²	1	2	yes	complemented
73	C₁₉×#482	C₂²	1	2	yes	complemented
74	C₁₉×#481	C₂²	1	2	yes	complemented
75	C₁₉×#480	C₂²	1	2	yes	complemented
76	C₁₉×#478	C₂²	1	2	yes	complemented
77	C₁₉×#477	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
79	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
80	C₁₉×#474	C₂²	1	2	yes	complemented
81	C₁₉×#474	C₂²	1	1	yes	characteristic, complemented
82	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
83	C₁₉×#469	C₂²	1	1	yes	characteristic, complemented
84	C₁₉×#469	C₂²	1	2	yes	complemented
85	C₁₉×#469	C₂²	1	2	yes	complemented
86	C₁₉×#469	C₂²	1	2	yes	complemented
87	C₁₉×#469	C₂²	1	2	yes	complemented
88	C₁₉×#469	C₂²	1	2	yes	complemented
89	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
90	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
91	C₁₉×#468	C₂²	1	2	yes	complemented
92	C₁₉×#466	C₂²	1	2	yes	complemented
93	C₁₉×#466	C₂²	1	2	yes	complemented
94	C₁₉×#466	C₂²	1	2	yes	complemented
95	C₁₉×#466	C₂²	1	2	yes	complemented
96	C₁₉×#466	C₂²	1	2	yes	complemented
97	C₁₉×#466	C₂²	1	2	yes	complemented
98	C₁₉×#465	C₂²	1	2	yes	complemented
99	C₁₉×#465	C₂²	1	2	yes	complemented
100	C₁₉×#463	C₂²	1	2	yes	complemented
101	C₁₉×#460	C₂²	1	1	yes	characteristic, complemented
102	C₁₉×#459	C₂²	1	1	yes	characteristic
103	C₁₉×#459	C₂²	1	2	yes	complemented
104	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
105	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
106	C₁₉×#450	C₂²	1	2	yes	complemented
107	C₁₉×#449	C₂²	1	2	yes	complemented
108	C₁₉×#449	C₂²	1	2	yes	complemented
109	C₁₉×#447	C₂²	1	2	yes	complemented
110	C₁₉×#447	C₂²	1	2	yes	complemented
111	C₁₉×#447	C₂²	1	2	yes	complemented
112	C₁₉×#447	C₂²	1	2	yes	complemented
113	C₁₉×#447	C₂²	1	2	yes	complemented
114	C₁₉×#442	C₂²	1	2	yes	complemented
115	C₁₉×#442	C₂²	1	2	yes	complemented
116	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
117	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
118	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
120	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
121	C₁₉×#436	C₂²	1	1	yes	characteristic, complemented
122	C₁₉×#435	C₂²	1	2	yes	complemented
123	C₁₉×#435	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
125	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
126	C₁₉×#428	C₂²	1	2	yes	complemented
127	C₁₉×#427	C₂²	1	2	yes	complemented
128	C₂×C₁₉×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
129	C₁₉×#418	C₂²	1	2	yes	complemented
130	C₁₉×#418	C₂²	1	2	yes	complemented
131	C₁₉×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
133	C₁₉×#408	C₂²	1	2	yes	complemented
134	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
135	C₂×#41×C₁₉	—	2	1	no	—
136	C₂×#41×C₁₉	—	2	1	no	—
137	C₂×#41×C₁₉	—	2	1	no	—
138	C₂×#41×C₁₉	—	2	1	no	—
139	C₂×#41×C₁₉	C₂³	1	2	yes	—
140	C₂×#41×C₁₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₉	—	2	1	no	—
142	C₂²×D₄×C₁₉	—	2	1	no	—
143	C₂²×D₄×C₁₉	—	2	2	no	—
144	C₂²×D₄×C₁₉	—	2	1	no	—
145	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
147	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
148	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
149	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
150	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
152	C₂×D₈×C₁₉	—	4	4	no	—
153	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×D₈×C₁₉	C₂³	1	2	yes	—
155	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
156	C₂×D₈×C₁₉	C₂³	1	2	yes	—
157	C₂×D₈×C₁₉	C₂³	1	2	yes	—
158	C₂×D₈×C₁₉	C₂³	1	2	yes	—
159	C₂×D₈×C₁₉	C₂³	1	2	yes	—
160	C₁₉×#131	—	4	4	no	—
161	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
162	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
163	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
164	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
166	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
167	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
168	C₁₉×C₄⋊Q₈	D₄	1	1	yes	characteristic
169	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₉×#127	—	2	2	no	—
173	C₁₉×#127	—	2	2	no	—
174	C₁₉×#127	—	2	1	no	—
175	C₁₉×#127	—	2	2	no	—
176	C₁₉×#127	D₄	1	1	yes	characteristic
177	C₁₉×#127	C₂³	1	1	yes	characteristic
178	C₁₉×#127	C₂³	1	1	yes	characteristic
179	C₁₉×#127	C₂³	1	1	yes	characteristic
180	C₁₉×#126	—	2	2	no	—
181	C₁₉×#126	—	2	2	no	—
182	C₁₉×#126	—	2	1	no	—
183	C₁₉×#125	C₂³	1	1	yes	characteristic
184	C₁₉×#124	—	2	2	no	—
185	C₁₉×#124	—	2	2	no	—
186	C₁₉×#124	—	2	2	no	—
187	C₁₉×#124	—	2	1	no	—
188	C₁₉×#124	—	2	2	no	—
189	C₁₉×#124	—	2	2	no	—
190	C₁₉×#124	—	2	2	no	—
191	C₁₉×#124	—	2	2	no	—
192	C₁₉×#124	—	2	1	no	—
193	C₁₉×#124	—	2	1	no	—
194	C₁₉×#124	—	2	1	no	—
195	C₁₉×#124	D₄	1	2	yes	—
196	C₁₉×#124	C₂³	1	1	yes	characteristic
197	C₁₉×#123	—	2	1	no	—
198	C₁₉×#123	—	2	2	no	—
199	C₁₉×#123	—	2	2	no	—
200	C₁₉×#123	—	2	2	no	—
201	C₁₉×C₂²⋊Q₈	—	2	2	no	—
202	C₁₉×C₂²⋊Q₈	—	2	1	no	—
203	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₉×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
205	C₁₉×#121	—	2	2	no	—
206	C₁₉×#121	—	2	1	no	—
207	C₁₉×#121	—	2	1	no	—
208	C₁₉×#121	—	2	2	no	—
209	C₁₉×#121	—	2	2	no	—
210	C₁₉×#121	—	2	2	no	—
211	C₁₉×#121	—	2	2	no	—
212	C₁₉×#121	—	2	1	no	—
213	C₁₉×#121	—	2	1	no	—
214	C₁₉×#121	—	2	1	no	—
215	C₁₉×#121	—	2	1	no	—
216	C₁₉×#121	—	2	1	no	—
217	C₁₉×#121	—	2	2	no	—
218	C₁₉×#121	—	2	1	no	—
219	C₁₉×#121	—	2	2	no	—
220	C₁₉×#121	—	2	2	no	—
221	C₁₉×#121	D₄	1	1	yes	characteristic
222	C₁₉×#121	D₄	1	1	yes	characteristic
223	C₁₉×#121	D₄	1	2	yes	—
224	C₁₉×#121	C₂³	1	2	yes	—
225	C₁₉×#121	C₂³	1	2	yes	—
226	C₁₉×#121	C₂³	1	2	yes	—
227	C₁₉×#121	C₂³	1	2	yes	—
228	C₁₉×#121	C₂³	1	2	yes	—
229	C₁₉×#121	C₂³	1	2	yes	—
230	C₁₉×#121	C₂³	1	2	yes	—
231	C₁₉×#121	C₂³	1	2	yes	—
232	C₁₉×#121	C₂³	1	1	yes	characteristic
233	C₁₉×#121	C₂³	1	1	yes	characteristic
234	C₁₉×#121	C₂³	1	1	yes	characteristic
235	C₁₉×#121	C₂³	1	2	yes	—
236	C₁₉×#120	—	2	2	no	—
237	C₁₉×#120	—	2	2	no	—
238	C₁₉×#120	—	2	2	no	—
239	C₁₉×#120	—	2	2	no	—
240	C₁₉×#120	—	2	2	no	—
241	C₁₉×#120	—	2	2	no	—
242	C₁₉×#120	—	2	2	no	—
243	C₁₉×#120	—	2	2	no	—
244	C₁₉×#120	—	2	2	no	—
245	C₁₉×#120	—	2	2	no	—
246	C₁₉×#120	—	2	2	no	—
247	C₁₉×#120	—	2	2	no	—
248	C₄×Q₈×C₁₉	—	2	1	no	—
249	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₉	—	2	1	no	—
251	C₄×D₄×C₁₉	—	2	1	no	—
252	C₄×D₄×C₁₉	—	2	2	no	—
253	C₄×D₄×C₁₉	—	2	1	no	—
254	C₄×D₄×C₁₉	—	2	1	no	—
255	C₄×D₄×C₁₉	—	2	1	no	—
256	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₉	C₂³	1	2	yes	—
260	C₄×D₄×C₁₉	C₂³	1	2	yes	—
261	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₉	C₂³	1	2	yes	—
264	C₁₉×#117	—	2	1	no	—
265	C₁₉×#117	—	2	1	no	—
266	C₁₉×#117	—	2	2	no	—
267	C₁₉×#117	—	2	1	no	—
268	C₁₉×#117	C₂³	1	2	yes	—
269	C₁₉×#117	C₂³	1	2	yes	—
270	C₁₉×#117	C₂³	1	2	yes	—
271	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
272	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#107	C₂³	1	2	yes	—
275	C₁₉×#107	C₂³	1	2	yes	—
276	C₁₉×#107	C₂³	1	1	yes	characteristic
277	C₁₉×#107	C₂³	1	2	yes	—
278	C₁₉×#107	C₂³	1	1	yes	characteristic
279	C₁₉×#106	C₂³	1	1	yes	characteristic
280	C₁₉×#106	C₂³	1	2	yes	—
281	C₁₉×#106	C₂³	1	2	yes	—
282	C₁₉×#106	C₂³	1	1	yes	characteristic
283	C₁₉×#106	C₂³	1	2	yes	—
284	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	1	yes	characteristic
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	1	yes	characteristic
290	C₁₉×#102	C₂³	1	1	yes	characteristic
291	C₁₉×#102	C₂³	1	2	yes	—
292	C₁₉×#102	C₂³	1	2	yes	—
293	C₁₉×#102	C₂³	1	2	yes	—
294	C₁₉×#102	C₂³	1	2	yes	—
295	C₁₉×#102	C₂³	1	2	yes	—
296	C₁₉×#102	C₂³	1	1	yes	characteristic
297	C₁₉×#102	C₂³	1	1	yes	characteristic
298	C₁₉×#102	C₂³	1	2	yes	—
299	C₁₉×#102	C₂³	1	2	yes	—
300	C₁₉×#102	C₂³	1	2	yes	—
301	C₁₉×#102	C₂³	1	2	yes	—
302	C₁₉×#102	C₂³	1	1	yes	characteristic
303	C₁₉×#102	C₂³	1	1	yes	characteristic
304	C₁₉×#102	C₂³	1	1	yes	characteristic
305	C₁₉×#102	C₂³	1	2	yes	—
306	C₁₉×#102	C₂³	1	2	yes	—
307	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	1	yes	characteristic
312	C₁₉×#97	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
315	C₂⁴×C₁₉	—	2	2	no	—
316	C₂⁴×C₁₉	—	2	2	no	—
317	C₂⁴×C₁₉	—	2	2	no	—
318	#41×C₁₉	—	4	2	no	—
319	#41×C₁₉	—	4	2	no	—
320	#41×C₁₉	—	4	2	no	—
321	#41×C₁₉	—	4	2	no	—
322	#41×C₁₉	—	8	2	no	—
323	#41×C₁₉	—	8	2	no	—
324	#41×C₁₉	—	8	2	no	—
325	#41×C₁₉	—	8	2	no	—
326	C₂×Q₈×C₁₉	—	2	1	no	—
327	C₂×Q₈×C₁₉	—	2	1	no	—
328	C₂×Q₈×C₁₉	—	2	1	no	—
329	C₂×Q₈×C₁₉	C₂×D₄	1	2	yes	—
330	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₁₉	—	2	1	no	—
332	C₂×D₄×C₁₉	—	2	2	no	—
333	C₂×D₄×C₁₉	—	2	2	no	—
334	C₂×D₄×C₁₉	—	2	2	no	—
335	C₂×D₄×C₁₉	—	2	2	no	—
336	C₂×D₄×C₁₉	—	2	2	no	—
337	C₂×D₄×C₁₉	—	2	2	no	—
338	C₂×D₄×C₁₉	—	2	2	no	—
339	C₂×D₄×C₁₉	—	2	1	no	—
340	C₂×D₄×C₁₉	—	2	1	no	—
341	C₂×D₄×C₁₉	—	2	2	no	—
342	C₂×D₄×C₁₉	—	2	2	no	—
343	C₂×D₄×C₁₉	—	2	2	no	—
344	C₂×D₄×C₁₉	—	2	1	no	—
345	C₂×D₄×C₁₉	—	2	1	no	—
346	C₂×D₄×C₁₉	—	2	1	no	—
347	C₂×D₄×C₁₉	—	2	1	no	—
348	C₂×D₄×C₁₉	—	2	1	no	—
349	C₂×D₄×C₁₉	—	2	1	no	—
350	C₂×D₄×C₁₉	—	2	2	no	—
351	C₂×D₄×C₁₉	—	2	2	no	—
352	C₂×D₄×C₁₉	—	2	2	no	—
353	C₂×D₄×C₁₉	—	4	2	no	—
354	C₂×D₄×C₁₉	—	4	2	no	—
355	C₂×D₄×C₁₉	—	4	2	no	—
356	C₂×D₄×C₁₉	—	4	2	no	—
357	C₂×D₄×C₁₉	—	4	2	no	—
358	C₂×D₄×C₁₉	—	4	2	no	—
359	C₂×D₄×C₁₉	—	8	2	no	—
360	C₂×D₄×C₁₉	—	8	2	no	—
361	C₂×D₄×C₁₉	—	8	2	no	—
362	C₂×D₄×C₁₉	—	8	4	no	—
363	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
364	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
365	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
366	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
367	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
368	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
369	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
370	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
371	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
372	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
373	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₉	—	2	2	no	—
375	C₂²×C₄×C₁₉	—	2	2	no	—
376	C₂²×C₄×C₁₉	—	2	1	no	—
377	C₂²×C₄×C₁₉	—	2	1	no	—
378	C₂²×C₄×C₁₉	—	2	1	no	—
379	C₂²×C₄×C₁₉	—	2	2	no	—
380	C₂²×C₄×C₁₉	—	2	2	no	—
381	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
382	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
383	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
386	SD₁₆×C₁₉	—	2	2	no	—
387	SD₁₆×C₁₉	—	4	1	no	—
388	SD₁₆×C₁₉	—	4	2	no	—
389	D₈×C₁₉	—	2	2	no	—
390	D₈×C₁₉	—	2	4	no	—
391	D₈×C₁₉	—	4	2	no	—
392	D₈×C₁₉	—	4	2	no	—
393	D₈×C₁₉	—	4	2	no	—
394	D₈×C₁₉	—	4	1	no	—
395	D₈×C₁₉	—	4	2	no	—
396	M₁₆×C₁₉	—	2	2	no	—
397	M₁₆×C₁₉	—	2	4	no	—
398	M₁₆×C₁₉	—	4	1	no	—
399	M₁₆×C₁₉	—	4	2	no	—
400	C₂×C₈×C₁₉	—	2	4	no	—
401	C₂×C₈×C₁₉	—	4	2	no	—
402	C₂×C₈×C₁₉	—	4	2	no	—
403	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
404	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
405	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
406	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
407	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₁₉	—	2	2	no	—
410	C₄⋊C₄×C₁₉	—	2	1	no	—
411	C₄⋊C₄×C₁₉	—	2	1	no	—
412	C₄⋊C₄×C₁₉	—	2	1	no	—
413	C₄⋊C₄×C₁₉	—	2	1	no	—
414	C₄⋊C₄×C₁₉	—	2	1	no	—
415	C₄⋊C₄×C₁₉	—	2	1	no	—
416	C₄⋊C₄×C₁₉	—	2	2	no	—
417	C₄⋊C₄×C₁₉	—	2	1	no	—
418	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
419	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
420	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
421	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
423	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
424	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
425	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
426	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
427	C₂²⋊C₄×C₁₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₉	—	2	2	no	—
429	C₂²⋊C₄×C₁₉	—	2	2	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	—	2	1	no	—
432	C₂²⋊C₄×C₁₉	—	2	1	no	—
433	C₂²⋊C₄×C₁₉	—	2	2	no	—
434	C₂²⋊C₄×C₁₉	—	2	2	no	—
435	C₂²⋊C₄×C₁₉	—	2	2	no	—
436	C₂²⋊C₄×C₁₉	—	2	2	no	—
437	C₂²⋊C₄×C₁₉	—	2	2	no	—
438	C₂²⋊C₄×C₁₉	—	2	1	no	—
439	C₂²⋊C₄×C₁₉	—	2	1	no	—
440	C₂²⋊C₄×C₁₉	—	2	2	no	—
441	C₂²⋊C₄×C₁₉	—	2	1	no	—
442	C₂²⋊C₄×C₁₉	—	2	1	no	—
443	C₂²⋊C₄×C₁₉	—	2	2	no	—
444	C₂²⋊C₄×C₁₉	—	2	2	no	—
445	C₂²⋊C₄×C₁₉	—	2	2	no	—
446	C₂²⋊C₄×C₁₉	—	2	1	no	—
447	C₂²⋊C₄×C₁₉	—	2	1	no	—
448	C₂²⋊C₄×C₁₉	—	2	2	no	—
449	C₂²⋊C₄×C₁₉	—	2	1	no	—
450	C₂²⋊C₄×C₁₉	—	2	2	no	—
451	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
452	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
453	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
454	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
455	C₄²×C₁₉	—	2	2	no	—
456	C₄²×C₁₉	—	2	2	no	—
457	C₄²×C₁₉	—	2	1	no	—
458	C₄²×C₁₉	—	2	2	no	—
459	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
460	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
461	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
462	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
463	#62349	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
464	C₂³×C₁₉	—	2	1	no	—
465	C₂³×C₁₉	—	2	2	no	—
466	C₂³×C₁₉	—	2	2	no	—
467	C₂³×C₁₉	—	2	1	no	—
468	C₂³×C₁₉	—	2	1	no	—
469	C₂³×C₁₉	—	8	2	no	—
470	C₂³×C₁₉	—	8	2	no	—
471	C₂³×C₁₉	—	8	2	no	—
472	C₂³×C₁₉	—	8	2	no	—
473	C₂³×C₁₉	—	8	2	no	—
474	C₂³×C₁₉	—	8	2	no	—
475	C₂³×C₁₉	—	8	2	no	—
476	C₂³×C₁₉	—	8	2	no	—
477	C₂³×C₁₉	—	8	2	no	—
478	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
479	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
480	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
481	Q₈×C₁₉	—	2	1	no	—
482	Q₈×C₁₉	—	2	1	no	—
483	Q₈×C₁₉	—	4	2	no	—
484	Q₈×C₁₉	—	4	2	no	—
485	Q₈×C₁₉	—	8	1	no	—
486	Q₈×C₁₉	—	8	1	no	—
487	D₄×C₁₉	—	2	2	no	—
488	D₄×C₁₉	—	2	2	no	—
489	D₄×C₁₉	—	2	1	no	—
490	D₄×C₁₉	—	2	1	no	—
491	D₄×C₁₉	—	2	2	no	—
492	D₄×C₁₉	—	2	2	no	—
493	D₄×C₁₉	—	2	1	no	—
494	D₄×C₁₉	—	2	1	no	—
495	D₄×C₁₉	—	2	2	no	—
496	D₄×C₁₉	—	2	1	no	—
497	D₄×C₁₉	—	2	2	no	—
498	D₄×C₁₉	—	2	1	no	—
499	D₄×C₁₉	—	4	2	no	—
500	D₄×C₁₉	—	4	2	no	—
501	D₄×C₁₉	—	4	2	no	—
502	D₄×C₁₉	—	4	2	no	—
503	D₄×C₁₉	—	4	2	no	—
504	D₄×C₁₉	—	4	2	no	—
505	D₄×C₁₉	—	4	2	no	—
506	D₄×C₁₉	—	8	1	no	—
507	D₄×C₁₉	—	8	2	no	—
508	D₄×C₁₉	—	8	2	no	—
509	D₄×C₁₉	—	8	2	no	—
510	D₄×C₁₉	—	8	1	no	—
511	D₄×C₁₉	—	8	1	no	—
512	D₄×C₁₉	—	8	1	no	—
513	D₄×C₁₉	—	8	2	no	—
514	D₄×C₁₉	—	8	2	no	—
515	D₄×C₁₉	—	8	2	no	—
516	D₄×C₁₉	—	8	2	no	—
517	D₄×C₁₉	—	8	2	no	—
518	D₄×C₁₉	—	8	2	no	—
519	D₄×C₁₉	—	8	2	no	—
520	D₄×C₁₉	—	8	2	no	—
521	D₄×C₁₉	—	8	1	no	—
522	D₄×C₁₉	—	8	1	no	—
523	D₄×C₁₉	—	8	2	no	—
524	D₄×C₁₉	—	8	2	no	—
525	C₂×C₄×C₁₉	—	2	2	no	—
526	C₂×C₄×C₁₉	—	2	2	no	—
527	C₂×C₄×C₁₉	—	2	1	no	—
528	C₂×C₄×C₁₉	—	2	2	no	—
529	C₂×C₄×C₁₉	—	2	1	no	—
530	C₂×C₄×C₁₉	—	2	2	no	—
531	C₂×C₄×C₁₉	—	2	2	no	—
532	C₂×C₄×C₁₉	—	2	1	no	—
533	C₂×C₄×C₁₉	—	2	2	no	—
534	C₂×C₄×C₁₉	—	2	1	no	—
535	C₂×C₄×C₁₉	—	2	1	no	—
536	C₂×C₄×C₁₉	—	2	1	no	—
537	C₂×C₄×C₁₉	—	2	2	no	—
538	C₂×C₄×C₁₉	—	2	1	no	—
539	C₂×C₄×C₁₉	—	4	1	no	—
540	C₂×C₄×C₁₉	—	4	4	no	—
541	C₂×C₄×C₁₉	—	4	2	no	—
542	C₂×C₄×C₁₉	—	4	2	no	—
543	C₂×C₄×C₁₉	—	4	2	no	—
544	C₂×C₄×C₁₉	—	8	2	no	—
545	C₂×C₄×C₁₉	—	8	2	no	—
546	C₂×C₄×C₁₉	—	8	2	no	—
547	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
555	C₈×C₁₉	—	2	2	no	—
556	C₈×C₁₉	—	2	1	no	—
557	C₈×C₁₉	—	2	2	no	—
558	C₈×C₁₉	—	2	1	no	—
559	C₈×C₁₉	—	2	1	no	—
560	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
561	#3549	C₂×C₁₉	1	1	yes	characteristic, complemented
562	#3546	C₂×C₁₉	1	1	yes	characteristic, complemented
563	#3354	C₂×C₁₉	1	1	yes	characteristic, complemented
564	#3347	C₂×C₁₉	1	2	yes	complemented
565	#3340	C₂×C₁₉	1	1	yes	characteristic, complemented
566	#3325	C₂×C₁₉	1	1	yes	characteristic, complemented
567	#3324	C₂×C₁₉	1	1	yes	characteristic, complemented
568	#3319	C₂×C₁₉	1	2	yes	complemented
569	#3318	C₂×C₁₉	1	2	yes	complemented
570	#3305	C₂×C₁₉	1	1	yes	characteristic, complemented
571	#3294	C₂×C₁₉	1	1	yes	characteristic, complemented
572	D₄×D₈	C₂×C₁₉	1	1	yes	characteristic, complemented
573	#3274	C₂×C₁₉	1	1	yes	characteristic, complemented
574	#3264	C₂×C₁₉	1	2	yes	complemented
575	#3247	C₂×C₁₉	1	1	yes	characteristic, complemented
576	#3245	C₂×C₁₉	1	1	yes	characteristic, complemented
577	#3199	C₂×C₁₉	1	2	yes	complemented
578	#3198	C₂×C₁₉	1	2	yes	complemented
579	#3184	C₂×C₁₉	1	1	yes	characteristic, complemented
580	#3171	C₂×C₁₉	1	1	yes	characteristic, complemented
581	#3062	C₂×C₁₉	1	2	yes	complemented
582	#3058	C₂×C₁₉	1	2	yes	complemented
583	#2935	C₂×C₁₉	1	1	yes	characteristic, complemented
584	C₂²×C₁₉	—	2	1	no	—
585	C₂²×C₁₉	—	2	2	no	—
586	C₂²×C₁₉	—	2	2	no	—
587	C₂²×C₁₉	—	2	1	no	—
588	C₂²×C₁₉	—	2	2	no	—
589	C₂²×C₁₉	—	2	2	no	—
590	C₂²×C₁₉	—	2	1	no	—
591	C₂²×C₁₉	—	2	2	no	—
592	C₂²×C₁₉	—	2	2	no	—
593	C₂²×C₁₉	—	4	2	no	—
594	C₂²×C₁₉	—	4	1	no	—
595	C₂²×C₁₉	—	4	1	no	—
596	C₂²×C₁₉	—	4	2	no	—
597	C₂²×C₁₉	—	4	1	no	—
598	C₂²×C₁₉	—	4	2	no	—
599	C₂²×C₁₉	—	4	1	no	—
600	C₂²×C₁₉	—	4	1	no	—
601	C₂²×C₁₉	—	4	2	no	—
602	C₂²×C₁₉	—	4	1	no	—
603	C₂²×C₁₉	—	4	1	no	—
604	C₂²×C₁₉	—	4	1	no	—
605	C₂²×C₁₉	—	4	1	no	—
606	C₂²×C₁₉	—	4	2	no	—
607	C₂²×C₁₉	—	4	2	no	—
608	C₂²×C₁₉	—	16	4	no	—
609	C₂²×C₁₉	—	16	4	no	—
610	C₂²×C₁₉	—	16	4	no	—
611	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
612	C₄×C₁₉	—	2	1	no	—
613	C₄×C₁₉	—	2	1	no	—
614	C₄×C₁₉	—	2	2	no	—
615	C₄×C₁₉	—	2	1	no	—
616	C₄×C₁₉	—	2	2	no	—
617	C₄×C₁₉	—	2	1	no	—
618	C₄×C₁₉	—	4	2	no	—
619	C₄×C₁₉	—	4	1	no	—
620	C₄×C₁₉	—	4	1	no	—
621	C₄×C₁₉	—	4	1	no	—
622	C₄×C₁₉	—	4	1	no	—
623	C₄×C₁₉	—	4	1	no	—
624	C₄×C₁₉	—	4	2	no	—
625	C₄×C₁₉	#576	1	2	yes	—
626	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
627	C₄×C₁₉	#585	1	1	yes	characteristic
628	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
629	C₂²×D₈	C₂²×C₁₉	1	2	yes	complemented
630	C₂×#131	C₂²×C₁₉	1	2	yes	complemented
631	H(3,𝔽₄)	—	2	2	no	—
632	#560	—	2	2	no	—
633	#556	C₂²×C₁₉	1	1	yes	characteristic, complemented
634	#555	—	2	1	no	—
635	#555	C₂²×C₁₉	1	1	yes	characteristic
636	#555	C₂²×C₁₉	1	2	yes	complemented
637	#555	C₂²×C₁₉	1	1	yes	characteristic, complemented
638	#553	C₂²×C₁₉	1	2	yes	complemented
639	#550	—	2	1	no	—
640	#550	C₂²×C₁₉	1	1	yes	characteristic, complemented
641	#547	C₂²×C₁₉	1	1	yes	characteristic, complemented
642	#546	—	2	1	no	—
643	#546	C₂²×C₁₉	1	2	yes	complemented
644	D₄²	—	2	1	no	—
645	D₄²	C₂²×C₁₉	1	1	yes	characteristic
646	D₄²	C₂²×C₁₉	1	2	yes	complemented
647	D₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
648	D₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
649	#542	—	2	1	no	—
650	#538	—	2	2	no	—
651	#537	C₂²×C₁₉	1	2	yes	complemented
652	#535	—	2	1	no	—
653	#535	—	2	1	no	—
654	#535	—	2	2	no	—
655	#535	—	2	1	no	—
656	#535	C₂²×C₁₉	1	2	yes	complemented
657	#535	C₂²×C₁₉	1	2	yes	complemented
658	#535	C₂²×C₁₉	1	2	yes	complemented
659	#532	C₂²×C₁₉	1	1	yes	characteristic
660	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
661	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
662	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
663	#529	C₂²×C₁₉	1	1	yes	characteristic, complemented
664	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
665	#498	C₂²×C₁₉	1	1	yes	characteristic, complemented
666	#496	C₂²×C₁₉	1	1	yes	characteristic
667	#493	C₂²×C₁₉	1	1	yes	characteristic
668	#490	C₂²×C₁₉	1	1	yes	characteristic, complemented
669	#489	C₂²×C₁₉	1	1	yes	characteristic, complemented
670	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
671	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
672	#485	C₂²×C₁₉	1	2	yes	complemented
673	#482	C₂²×C₁₉	1	2	yes	complemented
674	#482	C₂²×C₁₉	1	2	yes	complemented
675	#482	C₂²×C₁₉	1	2	yes	complemented
676	#482	C₂²×C₁₉	1	2	yes	complemented
677	#482	C₂²×C₁₉	1	2	yes	complemented
678	#481	C₂²×C₁₉	1	2	yes	complemented
679	#480	C₂²×C₁₉	1	2	yes	complemented
680	#478	C₂²×C₁₉	1	2	yes	complemented
681	#477	C₂²×C₁₉	1	1	yes	characteristic, complemented
682	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
683	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
684	#474	C₂²×C₁₉	1	2	yes	complemented
685	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
686	#469	C₂²×C₁₉	1	2	yes	complemented
687	#469	C₂²×C₁₉	1	2	yes	complemented
688	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
689	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
690	#469	C₂²×C₁₉	1	2	yes	complemented
691	#469	C₂²×C₁₉	1	2	yes	complemented
692	#469	C₂²×C₁₉	1	2	yes	complemented
693	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
694	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
695	#468	C₂²×C₁₉	1	2	yes	complemented
696	#466	C₂²×C₁₉	1	2	yes	complemented
697	#466	C₂²×C₁₉	1	2	yes	complemented
698	#466	C₂²×C₁₉	1	2	yes	complemented
699	#466	C₂²×C₁₉	1	2	yes	complemented
700	#466	C₂²×C₁₉	1	2	yes	complemented
701	#466	C₂²×C₁₉	1	2	yes	complemented
702	#465	C₂²×C₁₉	1	2	yes	complemented
703	#465	C₂²×C₁₉	1	2	yes	complemented
704	#463	C₂²×C₁₉	1	2	yes	complemented
705	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
706	#459	C₂²×C₁₉	1	1	yes	characteristic
707	#459	C₂²×C₁₉	1	2	yes	complemented
708	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
709	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
710	#450	C₂²×C₁₉	1	2	yes	complemented
711	#449	C₂²×C₁₉	1	2	yes	complemented
712	#449	C₂²×C₁₉	1	2	yes	complemented
713	#447	C₂²×C₁₉	1	2	yes	complemented
714	#447	C₂²×C₁₉	1	2	yes	complemented
715	#447	C₂²×C₁₉	1	2	yes	complemented
716	#447	C₂²×C₁₉	1	2	yes	complemented
717	#447	C₂²×C₁₉	1	2	yes	complemented
718	#442	C₂²×C₁₉	1	2	yes	complemented
719	#442	C₂²×C₁₉	1	2	yes	complemented
720	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
721	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
722	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
723	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
724	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
725	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
726	#435	C₂²×C₁₉	1	2	yes	complemented
727	#435	C₂²×C₁₉	1	2	yes	complemented
728	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
729	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
730	#428	C₂²×C₁₉	1	2	yes	complemented
731	#427	C₂²×C₁₉	1	2	yes	complemented
732	C₂×C₄⋊C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
733	#418	C₂²×C₁₉	1	2	yes	complemented
734	#418	C₂²×C₁₉	1	2	yes	complemented
735	#416	C₂²×C₁₉	1	2	yes	complemented
736	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
737	#408	C₂²×C₁₉	1	2	yes	complemented
738	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
739	C₂×C₁₉	—	4	1	no	—
740	C₂×C₁₉	—	4	2	no	—
741	C₂×C₁₉	—	4	2	no	—
742	C₂×C₁₉	—	8	2	no	—
743	C₂×C₁₉	—	8	2	no	—
744	C₂×C₁₉	—	8	1	no	—
745	C₂×C₁₉	—	8	1	no	—
746	C₂×C₁₉	—	8	1	no	—
747	C₂×C₁₉	#3496	1	1	yes	characteristic
748	C₂×C₁₉	C₂×#576	1	1	yes	characteristic
749	C₂×C₁₉	#3585	1	1	yes	characteristic
750	C₂×#41	—	2	1	no	—
751	C₂×#41	—	2	1	no	—
752	C₂×#41	—	2	1	no	—
753	C₂×#41	—	2	1	no	—
754	C₂×#41	C₂³×C₁₉	1	2	yes	—
755	C₂×#41	C₂³×C₁₉	1	2	yes	—
756	C₂²×D₄	—	2	1	no	—
757	C₂²×D₄	—	2	1	no	—
758	C₂²×D₄	—	2	2	no	—
759	C₂²×D₄	—	2	1	no	—
760	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
761	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
762	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
763	AGL(1,ℤ/8)	—	4	4	no	—
764	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
765	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
766	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
767	C₂×D₈	—	4	4	no	—
768	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
769	C₂×D₈	C₂³×C₁₉	1	2	yes	—
770	C₂×D₈	C₂³×C₁₉	1	2	yes	—
771	C₂×D₈	C₂³×C₁₉	1	2	yes	—
772	C₂×D₈	C₂³×C₁₉	1	2	yes	—
773	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
774	C₂×D₈	C₂³×C₁₉	1	2	yes	—
775	#131	—	4	4	no	—
776	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
777	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
778	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
779	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
780	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
781	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
782	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
783	C₄⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
784	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
785	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
786	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
787	#127	—	2	2	no	—
788	#127	—	2	2	no	—
789	#127	—	2	1	no	—
790	#127	—	2	2	no	—
791	#127	D₄×C₁₉	1	1	yes	characteristic
792	#127	C₂³×C₁₉	1	1	yes	characteristic
793	#127	C₂³×C₁₉	1	1	yes	characteristic
794	#127	C₂³×C₁₉	1	1	yes	characteristic
795	#126	—	2	2	no	—
796	#126	—	2	2	no	—
797	#126	—	2	1	no	—
798	#125	C₂³×C₁₉	1	1	yes	characteristic
799	#124	—	2	2	no	—
800	#124	—	2	2	no	—
801	#124	—	2	2	no	—
802	#124	—	2	1	no	—
803	#124	—	2	2	no	—
804	#124	—	2	2	no	—
805	#124	—	2	2	no	—
806	#124	—	2	2	no	—
807	#124	—	2	1	no	—
808	#124	—	2	1	no	—
809	#124	—	2	1	no	—
810	#124	D₄×C₁₉	1	2	yes	—
811	#124	C₂³×C₁₉	1	1	yes	characteristic
812	#123	—	2	1	no	—
813	#123	—	2	2	no	—
814	#123	—	2	2	no	—
815	#123	—	2	2	no	—
816	C₂²⋊Q₈	—	2	2	no	—
817	C₂²⋊Q₈	—	2	1	no	—
818	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
819	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
820	#121	—	2	2	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	2	no	—
824	#121	—	2	2	no	—
825	#121	—	2	2	no	—
826	#121	—	2	2	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	2	no	—
833	#121	—	2	1	no	—
834	#121	—	2	2	no	—
835	#121	—	2	2	no	—
836	#121	D₄×C₁₉	1	1	yes	characteristic
837	#121	D₄×C₁₉	1	1	yes	characteristic
838	#121	D₄×C₁₉	1	2	yes	—
839	#121	C₂³×C₁₉	1	1	yes	characteristic
840	#121	C₂³×C₁₉	1	2	yes	—
841	#121	C₂³×C₁₉	1	1	yes	characteristic
842	#121	C₂³×C₁₉	1	1	yes	characteristic
843	#121	C₂³×C₁₉	1	2	yes	—
844	#121	C₂³×C₁₉	1	2	yes	—
845	#121	C₂³×C₁₉	1	2	yes	—
846	#121	C₂³×C₁₉	1	2	yes	—
847	#121	C₂³×C₁₉	1	2	yes	—
848	#121	C₂³×C₁₉	1	2	yes	—
849	#121	C₂³×C₁₉	1	2	yes	—
850	#121	C₂³×C₁₉	1	2	yes	—
851	#120	—	2	2	no	—
852	#120	—	2	2	no	—
853	#120	—	2	2	no	—
854	#120	—	2	2	no	—
855	#120	—	2	2	no	—
856	#120	—	2	2	no	—
857	#120	—	2	2	no	—
858	#120	—	2	2	no	—
859	#120	—	2	2	no	—
860	#120	—	2	2	no	—
861	#120	—	2	2	no	—
862	#120	—	2	2	no	—
863	C₄×Q₈	—	2	1	no	—
864	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	2	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
872	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
873	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
874	C₄×D₄	C₂³×C₁₉	1	2	yes	—
875	C₄×D₄	C₂³×C₁₉	1	2	yes	—
876	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
877	C₄×D₄	C₂³×C₁₉	1	2	yes	—
878	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
879	#117	—	2	1	no	—
880	#117	—	2	1	no	—
881	#117	—	2	2	no	—
882	#117	—	2	1	no	—
883	#117	C₂³×C₁₉	1	2	yes	—
884	#117	C₂³×C₁₉	1	2	yes	—
885	#117	C₂³×C₁₉	1	2	yes	—
886	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
887	C₂×C₂²⋊C₄	—	2	2	no	—
888	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
889	#107	C₂³×C₁₉	1	2	yes	—
890	#107	C₂³×C₁₉	1	2	yes	—
891	#107	C₂³×C₁₉	1	1	yes	characteristic
892	#107	C₂³×C₁₉	1	2	yes	—
893	#107	C₂³×C₁₉	1	1	yes	characteristic
894	#106	C₂³×C₁₉	1	1	yes	characteristic
895	#106	C₂³×C₁₉	1	2	yes	—
896	#106	C₂³×C₁₉	1	2	yes	—
897	#106	C₂³×C₁₉	1	1	yes	characteristic
898	#106	C₂³×C₁₉	1	2	yes	—
899	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
900	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
901	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
902	#103	C₂³×C₁₉	1	1	yes	characteristic
903	#103	C₂³×C₁₉	1	2	yes	—
904	#103	C₂³×C₁₉	1	1	yes	characteristic
905	#102	C₂³×C₁₉	1	1	yes	characteristic
906	#102	C₂³×C₁₉	1	2	yes	—
907	#102	C₂³×C₁₉	1	2	yes	—
908	#102	C₂³×C₁₉	1	2	yes	—
909	#102	C₂³×C₁₉	1	2	yes	—
910	#102	C₂³×C₁₉	1	2	yes	—
911	#102	C₂³×C₁₉	1	1	yes	characteristic
912	#102	C₂³×C₁₉	1	1	yes	characteristic
913	#102	C₂³×C₁₉	1	2	yes	—
914	#102	C₂³×C₁₉	1	2	yes	—
915	#102	C₂³×C₁₉	1	2	yes	—
916	#102	C₂³×C₁₉	1	2	yes	—
917	#102	C₂³×C₁₉	1	1	yes	characteristic
918	#102	C₂³×C₁₉	1	1	yes	characteristic
919	#102	C₂³×C₁₉	1	1	yes	characteristic
920	#102	C₂³×C₁₉	1	2	yes	—
921	#102	C₂³×C₁₉	1	2	yes	—
922	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
923	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
924	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
925	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
926	#97	C₂³×C₁₉	1	1	yes	characteristic
927	#97	C₂³×C₁₉	1	1	yes	characteristic
928	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
929	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
930	C₁₉	#62349	1	1	yes	characteristic, direct product factor, Sylow
931	C₂⁴	—	2	2	no	—
932	C₂⁴	—	2	2	no	—
933	C₂⁴	—	2	2	no	—
934	#41	—	4	2	no	—
935	#41	—	4	2	no	—
936	#41	—	4	2	no	—
937	#41	—	4	2	no	—
938	#41	—	8	2	no	—
939	#41	—	8	2	no	—
940	#41	—	8	2	no	—
941	#41	—	8	2	no	—
942	C₂×Q₈	—	2	1	no	—
943	C₂×Q₈	—	2	1	no	—
944	C₂×Q₈	—	2	1	no	—
945	C₂×Q₈	C₂×D₄×C₁₉	1	2	yes	—
946	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	2	2	no	—
950	C₂×D₄	—	2	2	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	—	2	2	no	—
953	C₂×D₄	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	1	no	—
956	C₂×D₄	—	2	1	no	—
957	C₂×D₄	—	2	2	no	—
958	C₂×D₄	—	2	2	no	—
959	C₂×D₄	—	2	2	no	—
960	C₂×D₄	—	2	1	no	—
961	C₂×D₄	—	2	1	no	—
962	C₂×D₄	—	2	1	no	—
963	C₂×D₄	—	2	1	no	—
964	C₂×D₄	—	2	1	no	—
965	C₂×D₄	—	2	1	no	—
966	C₂×D₄	—	2	2	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	2	no	—
969	C₂×D₄	—	4	2	no	—
970	C₂×D₄	—	4	2	no	—
971	C₂×D₄	—	4	2	no	—
972	C₂×D₄	—	4	2	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	4	2	no	—
975	C₂×D₄	—	8	2	no	—
976	C₂×D₄	—	8	2	no	—
977	C₂×D₄	—	8	2	no	—
978	C₂×D₄	—	8	4	no	—
979	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
980	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
981	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
982	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
983	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
984	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
985	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
986	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
987	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
988	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
989	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	1	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	1	no	—
995	C₂²×C₄	—	2	2	no	—
996	C₂²×C₄	—	2	2	no	—
997	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
998	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1000	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1001	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1002	SD₁₆	—	2	2	no	—
1003	SD₁₆	—	4	1	no	—
1004	SD₁₆	—	4	2	no	—
1005	D₈	—	2	2	no	—
1006	D₈	—	2	4	no	—
1007	D₈	—	4	2	no	—
1008	D₈	—	4	2	no	—
1009	D₈	—	4	2	no	—
1010	D₈	—	4	1	no	—
1011	D₈	—	4	2	no	—
1012	M₁₆	—	2	2	no	—
1013	M₁₆	—	2	4	no	—
1014	M₁₆	—	4	1	no	—
1015	M₁₆	—	4	2	no	—
1016	C₂×C₈	—	2	4	no	—
1017	C₂×C₈	—	4	2	no	—
1018	C₂×C₈	—	4	2	no	—
1019	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1020	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1021	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1022	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1023	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1024	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	1	no	—
1027	C₄⋊C₄	—	2	1	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	1	no	—
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	2	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1035	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1036	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1037	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1038	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1039	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1040	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1041	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1042	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	—	2	2	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	1	no	—
1048	C₂²⋊C₄	—	2	1	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	2	no	—
1051	C₂²⋊C₄	—	2	2	no	—
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	2	no	—
1054	C₂²⋊C₄	—	2	1	no	—
1055	C₂²⋊C₄	—	2	1	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	1	no	—
1058	C₂²⋊C₄	—	2	1	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	2	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	2	no	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1068	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1069	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1070	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1071	C₄²	—	2	2	no	—
1072	C₄²	—	2	2	no	—
1073	C₄²	—	2	1	no	—
1074	C₄²	—	2	2	no	—
1075	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1076	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1077	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1078	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1079	C₂³	—	2	1	no	—
1080	C₂³	—	2	2	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	1	no	—
1083	C₂³	—	2	2	no	—
1084	C₂³	—	8	2	no	—
1085	C₂³	—	8	2	no	—
1086	C₂³	—	8	2	no	—
1087	C₂³	—	8	2	no	—
1088	C₂³	—	8	2	no	—
1089	C₂³	—	8	2	no	—
1090	C₂³	—	8	2	no	—
1091	C₂³	—	8	2	no	—
1092	C₂³	—	8	2	no	—
1093	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1094	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1095	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1096	Q₈	—	2	1	no	—
1097	Q₈	—	2	1	no	—
1098	Q₈	—	4	2	no	—
1099	Q₈	—	4	2	no	—
1100	Q₈	—	8	1	no	—
1101	Q₈	—	8	1	no	—
1102	D₄	—	2	2	no	—
1103	D₄	—	2	2	no	—
1104	D₄	—	2	1	no	—
1105	D₄	—	2	1	no	—
1106	D₄	—	2	2	no	—
1107	D₄	—	2	2	no	—
1108	D₄	—	2	1	no	—
1109	D₄	—	2	1	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	1	no	—
1112	D₄	—	2	2	no	—
1113	D₄	—	2	1	no	—
1114	D₄	—	4	2	no	—
1115	D₄	—	4	2	no	—
1116	D₄	—	4	2	no	—
1117	D₄	—	4	2	no	—
1118	D₄	—	4	2	no	—
1119	D₄	—	4	2	no	—
1120	D₄	—	4	2	no	—
1121	D₄	—	8	2	no	—
1122	D₄	—	8	2	no	—
1123	D₄	—	8	2	no	—
1124	D₄	—	8	1	no	—
1125	D₄	—	8	1	no	—
1126	D₄	—	8	1	no	—
1127	D₄	—	8	2	no	—
1128	D₄	—	8	2	no	—
1129	D₄	—	8	2	no	—
1130	D₄	—	8	2	no	—
1131	D₄	—	8	2	no	—
1132	D₄	—	8	2	no	—
1133	D₄	—	8	1	no	—
1134	D₄	—	8	1	no	—
1135	D₄	—	8	2	no	—
1136	D₄	—	8	2	no	—
1137	D₄	—	8	2	no	—
1138	D₄	—	8	1	no	—
1139	D₄	—	8	2	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	4	1	no	—
1155	C₂×C₄	—	4	4	no	—
1156	C₂×C₄	—	4	2	no	—
1157	C₂×C₄	—	4	2	no	—
1158	C₂×C₄	—	4	2	no	—
1159	C₂×C₄	—	8	2	no	—
1160	C₂×C₄	—	8	2	no	—
1161	C₂×C₄	—	8	2	no	—
1162	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1163	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1164	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1165	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1166	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1167	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1168	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1169	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1170	C₈	—	2	2	no	—
1171	C₈	—	2	1	no	—
1172	C₈	—	2	2	no	—
1173	C₈	—	2	1	no	—
1174	C₈	—	2	1	no	—
1175	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1176	C₂²	—	2	1	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	1	no	—
1180	C₂²	—	2	2	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	1	no	—
1183	C₂²	—	2	2	no	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	4	2	no	—
1186	C₂²	—	4	1	no	—
1187	C₂²	—	4	1	no	—
1188	C₂²	—	4	2	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	1	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	4	1	no	—
1193	C₂²	—	4	2	no	—
1194	C₂²	—	4	2	no	—
1195	C₂²	—	4	2	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	2	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	16	4	no	—
1201	C₂²	—	16	4	no	—
1202	C₂²	—	16	4	no	—
1203	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1204	C₄	—	2	2	no	—
1205	C₄	—	2	1	no	—
1206	C₄	—	2	2	no	—
1207	C₄	—	2	1	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	2	1	no	—
1210	C₄	—	4	1	no	—
1211	C₄	—	4	1	no	—
1212	C₄	—	4	1	no	—
1213	C₄	—	4	1	no	—
1214	C₄	—	4	2	no	—
1215	C₄	—	4	2	no	—
1216	C₄	—	4	1	no	—
1217	C₄	C₁₉×#576	1	2	yes	—
1218	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1219	C₄	C₁₉×#585	1	1	yes	characteristic
1220	C₂	—	4	2	no	—
1221	C₂	—	4	2	no	—
1222	C₂	—	4	1	no	—
1223	C₂	—	8	1	no	—
1224	C₂	—	8	1	no	—
1225	C₂	—	8	1	no	—
1226	C₂	—	8	2	no	—
1227	C₂	—	8	2	no	—
1228	C₂	C₁₉×#3496	1	1	yes	characteristic
1229	C₂	C₂×C₁₉×#576	1	1	yes	characteristic
1230	C₂	C₁₉×#3585	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3549	C₂	semidirect
2. C₁₉×#3546	C₂	semidirect
3. C₁₉×#3354	C₂	semidirect
4. C₁₉×#3347	C₂	semidirect
5. C₁₉×#3340	C₂	semidirect
6. C₁₉×#3325	C₂	semidirect
7. C₁₉×#3324	C₂	semidirect
8. C₁₉×#3319	C₂	semidirect
9. C₁₉×#3318	C₂	semidirect
10. C₁₉×#3305	C₂	semidirect
11. C₁₉×#3294	C₂	semidirect
12. D₄×D₈×C₁₉	C₂	semidirect
13. C₁₉×#3274	C₂	semidirect
14. C₁₉×#3264	C₂	semidirect
15. C₁₉×#3247	C₂	semidirect
16. C₁₉×#3245	C₂	semidirect
17. C₁₉×#3199	C₂	semidirect
18. C₁₉×#3198	C₂	semidirect
19. C₁₉×#3184	C₂	semidirect
20. C₁₉×#3171	C₂	semidirect
21. C₁₉×#3062	C₂	semidirect
22. C₁₉×#3058	C₂	semidirect
23. C₁₉×#2935	C₂	semidirect
24. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
25. C₂²×D₈×C₁₉	C₂²	semidirect
26. C₂×C₁₉×#131	C₂²	semidirect
29. C₁₉×#556	C₂²	semidirect
32. C₁₉×#555	C₂²	semidirect
33. C₁₉×#555	C₂²	semidirect
34. C₁₉×#553	C₂²	semidirect
36. C₁₉×#550	C₂²	semidirect
37. C₁₉×#547	C₂²	semidirect
39. C₁₉×#546	C₂²	semidirect
42. D₄²×C₁₉	C₂²	semidirect
43. D₄²×C₁₉	C₂²	semidirect
44. D₄²×C₁₉	C₂²	semidirect
47. C₁₉×#537	C₂²	semidirect
52. C₁₉×#535	C₂²	semidirect
53. C₁₉×#535	C₂²	semidirect
54. C₁₉×#535	C₂²	semidirect
56. C₁₉×#532	C₂²	semidirect
57. C₁₉×#532	C₂²	semidirect
58. C₁₉×#532	C₂²	semidirect
59. C₁₉×#529	C₂²	semidirect
60. C₁₉×#501	C₂²	semidirect
61. C₁₉×#498	C₂²	semidirect
64. C₁₉×#490	C₂²	semidirect
65. C₁₉×#489	C₂²	semidirect
66. C₁₉×#486	C₂²	semidirect
67. C₁₉×#486	C₂²	semidirect
68. C₁₉×#485	C₂²	semidirect
69. C₁₉×#482	C₂²	semidirect
70. C₁₉×#482	C₂²	semidirect
71. C₁₉×#482	C₂²	semidirect
72. C₁₉×#482	C₂²	semidirect
73. C₁₉×#482	C₂²	semidirect
74. C₁₉×#481	C₂²	semidirect
75. C₁₉×#480	C₂²	semidirect
76. C₁₉×#478	C₂²	semidirect
77. C₁₉×#477	C₂²	semidirect
78. C₁₉×#476	C₂²	semidirect
79. C₁₉×#474	C₂²	semidirect
80. C₁₉×#474	C₂²	semidirect
81. C₁₉×#474	C₂²	semidirect
82. C₁₉×#469	C₂²	semidirect
83. C₁₉×#469	C₂²	semidirect
84. C₁₉×#469	C₂²	semidirect
85. C₁₉×#469	C₂²	semidirect
86. C₁₉×#469	C₂²	semidirect
87. C₁₉×#469	C₂²	semidirect
88. C₁₉×#469	C₂²	semidirect
89. C₁₉×#468	C₂²	semidirect
90. C₁₉×#468	C₂²	semidirect
91. C₁₉×#468	C₂²	semidirect
92. C₁₉×#466	C₂²	semidirect
93. C₁₉×#466	C₂²	semidirect
94. C₁₉×#466	C₂²	semidirect
95. C₁₉×#466	C₂²	semidirect
96. C₁₉×#466	C₂²	semidirect
97. C₁₉×#466	C₂²	semidirect
98. C₁₉×#465	C₂²	semidirect
99. C₁₉×#465	C₂²	semidirect
100. C₁₉×#463	C₂²	semidirect
101. C₁₉×#460	C₂²	semidirect
103. C₁₉×#459	C₂²	semidirect
104. C₁₉×#459	C₂²	semidirect
105. C₁₉×#459	C₂²	semidirect
106. C₁₉×#450	C₂²	semidirect
107. C₁₉×#449	C₂²	semidirect
108. C₁₉×#449	C₂²	semidirect
109. C₁₉×#447	C₂²	semidirect
110. C₁₉×#447	C₂²	semidirect
111. C₁₉×#447	C₂²	semidirect
112. C₁₉×#447	C₂²	semidirect
113. C₁₉×#447	C₂²	semidirect
114. C₁₉×#442	C₂²	semidirect
115. C₁₉×#442	C₂²	semidirect
116. C₄×SD₁₆×C₁₉	C₂²	semidirect
117. C₄×SD₁₆×C₁₉	C₂²	semidirect
118. C₄×D₈×C₁₉	C₂²	semidirect
119. C₄×D₈×C₁₉	C₂²	semidirect
120. C₁₉×#436	C₂²	semidirect
121. C₁₉×#436	C₂²	semidirect
122. C₁₉×#435	C₂²	semidirect
123. C₁₉×#435	C₂²	semidirect
124. C₈×D₄×C₁₉	C₂²	semidirect
125. C₈×D₄×C₁₉	C₂²	semidirect
126. C₁₉×#428	C₂²	semidirect
127. C₁₉×#427	C₂²	semidirect
128. C₂×C₁₉×C₄⋊C₈	C₂²	semidirect
129. C₁₉×#418	C₂²	semidirect
130. C₁₉×#418	C₂²	semidirect
131. C₁₉×#416	C₂²	semidirect
132. C₂×C₁₉×#102	C₂²	semidirect
133. C₁₉×#408	C₂²	semidirect
134. C₄×M₁₆×C₁₉	C₂²	semidirect
463. #62349	C₁₉	direct (N × H)
561. #3549	C₂×C₁₉	semidirect
562. #3546	C₂×C₁₉	semidirect
563. #3354	C₂×C₁₉	semidirect
564. #3347	C₂×C₁₉	semidirect
565. #3340	C₂×C₁₉	semidirect
566. #3325	C₂×C₁₉	semidirect
567. #3324	C₂×C₁₉	semidirect
568. #3319	C₂×C₁₉	semidirect
569. #3318	C₂×C₁₉	semidirect
570. #3305	C₂×C₁₉	semidirect
571. #3294	C₂×C₁₉	semidirect
572. D₄×D₈	C₂×C₁₉	semidirect
573. #3274	C₂×C₁₉	semidirect
574. #3264	C₂×C₁₉	semidirect
575. #3247	C₂×C₁₉	semidirect
576. #3245	C₂×C₁₉	semidirect
577. #3199	C₂×C₁₉	semidirect
578. #3198	C₂×C₁₉	semidirect
579. #3184	C₂×C₁₉	semidirect
580. #3171	C₂×C₁₉	semidirect
581. #3062	C₂×C₁₉	semidirect
582. #3058	C₂×C₁₉	semidirect
583. #2935	C₂×C₁₉	semidirect
628. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
629. C₂²×D₈	C₂²×C₁₉	semidirect
630. C₂×#131	C₂²×C₁₉	semidirect
633. #556	C₂²×C₁₉	semidirect
636. #555	C₂²×C₁₉	semidirect
637. #555	C₂²×C₁₉	semidirect
638. #553	C₂²×C₁₉	semidirect
640. #550	C₂²×C₁₉	semidirect
641. #547	C₂²×C₁₉	semidirect
643. #546	C₂²×C₁₉	semidirect
646. D₄²	C₂²×C₁₉	semidirect
647. D₄²	C₂²×C₁₉	semidirect
648. D₄²	C₂²×C₁₉	semidirect
651. #537	C₂²×C₁₉	semidirect
656. #535	C₂²×C₁₉	semidirect
657. #535	C₂²×C₁₉	semidirect
658. #535	C₂²×C₁₉	semidirect
660. #532	C₂²×C₁₉	semidirect
661. #532	C₂²×C₁₉	semidirect
662. #532	C₂²×C₁₉	semidirect
663. #529	C₂²×C₁₉	semidirect
664. #501	C₂²×C₁₉	semidirect
665. #498	C₂²×C₁₉	semidirect
668. #490	C₂²×C₁₉	semidirect
669. #489	C₂²×C₁₉	semidirect
670. #486	C₂²×C₁₉	semidirect
671. #486	C₂²×C₁₉	semidirect
672. #485	C₂²×C₁₉	semidirect
673. #482	C₂²×C₁₉	semidirect
674. #482	C₂²×C₁₉	semidirect
675. #482	C₂²×C₁₉	semidirect
676. #482	C₂²×C₁₉	semidirect
677. #482	C₂²×C₁₉	semidirect
678. #481	C₂²×C₁₉	semidirect
679. #480	C₂²×C₁₉	semidirect
680. #478	C₂²×C₁₉	semidirect
681. #477	C₂²×C₁₉	semidirect
682. #476	C₂²×C₁₉	semidirect
683. #474	C₂²×C₁₉	semidirect
684. #474	C₂²×C₁₉	semidirect
685. #474	C₂²×C₁₉	semidirect
686. #469	C₂²×C₁₉	semidirect
687. #469	C₂²×C₁₉	semidirect
688. #469	C₂²×C₁₉	semidirect
689. #469	C₂²×C₁₉	semidirect
690. #469	C₂²×C₁₉	semidirect
691. #469	C₂²×C₁₉	semidirect
692. #469	C₂²×C₁₉	semidirect
693. #468	C₂²×C₁₉	semidirect
694. #468	C₂²×C₁₉	semidirect
695. #468	C₂²×C₁₉	semidirect
696. #466	C₂²×C₁₉	semidirect
697. #466	C₂²×C₁₉	semidirect
698. #466	C₂²×C₁₉	semidirect
699. #466	C₂²×C₁₉	semidirect
700. #466	C₂²×C₁₉	semidirect
701. #466	C₂²×C₁₉	semidirect
702. #465	C₂²×C₁₉	semidirect
703. #465	C₂²×C₁₉	semidirect
704. #463	C₂²×C₁₉	semidirect
705. #460	C₂²×C₁₉	semidirect
707. #459	C₂²×C₁₉	semidirect
708. #459	C₂²×C₁₉	semidirect
709. #459	C₂²×C₁₉	semidirect
710. #450	C₂²×C₁₉	semidirect
711. #449	C₂²×C₁₉	semidirect
712. #449	C₂²×C₁₉	semidirect
713. #447	C₂²×C₁₉	semidirect
714. #447	C₂²×C₁₉	semidirect
715. #447	C₂²×C₁₉	semidirect
716. #447	C₂²×C₁₉	semidirect
717. #447	C₂²×C₁₉	semidirect
718. #442	C₂²×C₁₉	semidirect
719. #442	C₂²×C₁₉	semidirect
720. C₄×SD₁₆	C₂²×C₁₉	semidirect
721. C₄×SD₁₆	C₂²×C₁₉	semidirect
722. C₄×D₈	C₂²×C₁₉	semidirect
723. C₄×D₈	C₂²×C₁₉	semidirect
724. #436	C₂²×C₁₉	semidirect
725. #436	C₂²×C₁₉	semidirect
726. #435	C₂²×C₁₉	semidirect
727. #435	C₂²×C₁₉	semidirect
728. C₈×D₄	C₂²×C₁₉	semidirect
729. C₈×D₄	C₂²×C₁₉	semidirect
730. #428	C₂²×C₁₉	semidirect
731. #427	C₂²×C₁₉	semidirect
732. C₂×C₄⋊C₈	C₂²×C₁₉	semidirect
733. #418	C₂²×C₁₉	semidirect
734. #418	C₂²×C₁₉	semidirect
735. #416	C₂²×C₁₉	semidirect
736. C₂×#102	C₂²×C₁₉	semidirect
737. #408	C₂²×C₁₉	semidirect
738. C₄×M₁₆	C₂²×C₁₉	semidirect
930. C₁₉	#62349	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×#3549	2
C₁₉×#3546	2
C₁₉×#3354	2
C₁₉×#3347	2
C₁₉×#3340	2
C₁₉×#3325	2
C₁₉×#3324	2
C₁₉×#3319	2
C₁₉×#3318	2
C₁₉×#3305	2
C₁₉×#3294	2
D₄×D₈×C₁₉	2
C₁₉×#3274	2
C₁₉×#3264	2
C₁₉×#3247	2
C₁₉×#3245	2
C₁₉×#3199	2
C₁₉×#3198	2
C₁₉×#3184	2
C₁₉×#3171	2
C₁₉×#3062	2
C₁₉×#3058	2
C₁₉×#2935	2
#62349	19

Subgroups — C19×#62349 #18068308

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62349 #18068308