Subgroups — C₁₉×#62045 #18068004

Order 4864.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3394	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3369	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3332	C₂	1	2	yes	maximal, complemented
8	C₁₉×#3331	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₉×#3306	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3295	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₉×#3284	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₉×#3275	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3271	C₂	1	2	yes	maximal, complemented
15	C₁₉×#3263	C₂	1	2	yes	maximal, complemented
16	C₁₉×#3253	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3224	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3125	C₂	1	2	yes	maximal, complemented
20	C₁₉×#3103	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3045	C₂	1	2	yes	maximal, complemented
22	C₁₉×#3037	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#2993	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	—
26	C₂×C₁₉×#135	C₂²	1	2	yes	complemented
27	C₁₉×#560	—	2	2	no	—
28	C₁₉×#559	—	2	1	no	—
29	C₁₉×#559	C₂²	1	1	yes	characteristic, complemented
30	Q₈²×C₁₉	C₂²	1	1	yes	characteristic, complemented
31	C₁₉×#556	C₂²	1	1	yes	characteristic
32	C₁₉×#554	—	2	1	no	—
33	C₁₉×#554	C₂²	1	1	yes	characteristic
34	C₁₉×#553	—	2	1	no	—
35	C₁₉×#550	C₂²	1	1	yes	characteristic
36	C₁₉×#550	C₂²	1	2	yes	—
37	C₁₉×#550	C₂²	1	1	yes	characteristic
38	C₁₉×#548	C₂²	1	2	yes	complemented
39	C₁₉×#547	—	2	2	no	—
40	C₁₉×#547	C₂²	1	1	yes	characteristic
41	C₁₉×#547	C₂²	1	2	yes	complemented
42	C₁₉×#546	—	2	1	no	—
43	C₁₉×#546	C₂²	1	2	yes	—
44	D₄²×C₁₉	C₂²	1	1	yes	characteristic
45	C₁₉×#542	—	2	2	no	—
46	C₁₉×#542	C₂²	1	2	yes	—
47	C₁₉×#542	C₂²	1	2	yes	complemented
48	C₁₉×#538	—	2	2	no	—
49	C₁₉×#537	—	2	1	no	—
50	C₁₉×#535	—	2	1	no	—
51	C₁₉×#535	C₂²	1	2	yes	—
52	C₁₉×#532	—	2	1	no	—
53	C₁₉×#532	C₂²	1	1	yes	characteristic
54	C₁₉×#532	C₂²	1	1	yes	characteristic
55	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
56	C₁₉×#529	—	2	1	no	—
57	C₁₉×#529	C₂²	1	1	yes	characteristic
58	C₁₉×#520	C₂²	1	2	yes	complemented
59	C₂×C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
60	C₁₉×#496	C₂²	1	2	yes	complemented
61	C₁₉×#495	C₂²	1	2	yes	—
62	C₁₉×#493	C₂²	1	1	yes	characteristic
63	C₁₉×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₉×#489	C₂²	1	2	yes	—
65	C₁₉×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₉×#486	C₂²	1	1	yes	characteristic
67	C₁₉×#486	C₂²	1	2	yes	complemented
68	C₁₉×#483	C₂²	1	2	yes	complemented
69	C₁₉×#481	C₂²	1	2	yes	—
70	C₁₉×#481	C₂²	1	1	yes	characteristic
71	C₁₉×#481	C₂²	1	1	yes	characteristic, complemented
72	C₁₉×#476	C₂²	1	1	yes	characteristic
73	C₁₉×#476	C₂²	1	2	yes	complemented
74	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
75	C₁₉×#476	C₂²	1	2	yes	complemented
76	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
77	C₁₉×#475	C₂²	1	2	yes	complemented
78	C₁₉×#475	C₂²	1	1	yes	characteristic, complemented
79	C₁₉×#470	C₂²	1	2	yes	complemented
80	C₁₉×#469	C₂²	1	2	yes	—
81	C₁₉×#469	C₂²	1	2	yes	—
82	C₁₉×#469	C₂²	1	2	yes	complemented
83	C₁₉×#465	C₂²	1	2	yes	—
84	C₁₉×#465	C₂²	1	2	yes	complemented
85	C₁₉×#464	C₂²	1	2	yes	—
86	C₁₉×#464	C₂²	1	2	yes	complemented
87	C₁₉×#464	C₂²	1	2	yes	complemented
88	C₁₉×#464	C₂²	1	2	yes	complemented
89	C₁₉×#463	C₂²	1	2	yes	—
90	C₁₉×#463	C₂²	1	2	yes	complemented
91	C₁₉×#463	C₂²	1	2	yes	complemented
92	C₁₉×#463	C₂²	1	2	yes	complemented
93	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
94	C₁₉×#462	C₂²	1	1	yes	characteristic, complemented
95	C₁₉×#460	C₂²	1	1	yes	characteristic
96	C₁₉×#460	C₂²	1	1	yes	characteristic
97	C₁₉×#460	C₂²	1	1	yes	characteristic
98	C₁₉×#460	C₂²	1	1	yes	characteristic
99	C₁₉×#460	C₂²	1	2	yes	complemented
100	C₁₉×#459	C₂²	1	2	yes	—
101	C₁₉×#459	C₂²	1	1	yes	characteristic
102	C₁₉×#459	C₂²	1	1	yes	characteristic, complemented
103	C₁₉×#459	C₂²	1	2	yes	complemented
104	C₁₉×#452	C₂²	1	2	yes	complemented
105	C₁₉×#452	C₂²	1	2	yes	complemented
106	C₁₉×#450	C₂²	1	2	yes	—
107	C₁₉×#449	C₂²	1	2	yes	—
108	C₁₉×#449	C₂²	1	2	yes	complemented
109	C₁₉×#449	C₂²	1	2	yes	complemented
110	C₁₉×#449	C₂²	1	2	yes	complemented
111	C₁₉×#448	C₂²	1	1	yes	characteristic
112	C₁₉×#448	C₂²	1	1	yes	characteristic, complemented
113	C₁₉×#447	C₂²	1	2	yes	—
114	C₁₉×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
116	C₁₉×#442	C₂²	1	2	yes	complemented
117	C₁₉×#441	C₂²	1	2	yes	complemented
118	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
119	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic
120	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
121	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
122	C₄×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
124	C₁₉×#436	C₂²	1	1	yes	characteristic
125	C₁₉×#436	C₂²	1	2	yes	complemented
126	C₁₉×#435	C₂²	1	2	yes	complemented
127	C₈×D₄×C₁₉	C₂²	1	1	yes	characteristic
128	C₁₉×#433	C₂²	1	2	yes	complemented
129	C₁₉×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₉×#424	C₂²	1	2	yes	complemented
131	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
132	C₁₉×#417	C₂²	1	2	yes	complemented
133	C₁₉×#417	C₂²	1	2	yes	complemented
134	C₂×C₁₉×#102	C₂²	1	2	yes	—
135	C₂×#41×C₁₉	—	2	1	no	—
136	C₂×#41×C₁₉	—	2	2	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	C₂×#41×C₁₉	C₂³	1	2	yes	—
142	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₉	—	2	1	no	—
144	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
145	C₁₉×#137	—	4	4	no	—
146	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
147	C₁₉×#135	—	4	4	no	—
148	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
149	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
150	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
151	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
152	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
153	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
155	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
156	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
157	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
158	C₂×D₈×C₁₉	C₂³	1	2	yes	—
159	C₂×D₈×C₁₉	C₂³	1	2	yes	—
160	C₂×D₈×C₁₉	C₂³	1	2	yes	—
161	C₂×D₈×C₁₉	C₂³	1	2	yes	—
162	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
163	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
164	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
165	C₁₉×C₄⋊Q₈	—	2	1	no	—
166	C₁₉×C₄⋊Q₈	—	2	2	no	—
167	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
170	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₉×#127	—	2	1	no	—
172	C₁₉×#127	—	2	2	no	—
173	C₁₉×#127	C₂³	1	1	yes	characteristic
174	C₁₉×#127	C₂³	1	1	yes	characteristic
175	C₁₉×#127	C₂³	1	2	yes	—
176	C₁₉×#127	C₂³	1	1	yes	characteristic
177	C₁₉×#126	—	2	2	no	—
178	C₁₉×#126	—	2	2	no	—
179	C₁₉×#126	—	2	2	no	—
180	C₁₉×#126	D₄	1	2	yes	—
181	C₁₉×#125	—	2	1	no	—
182	C₁₉×#125	D₄	1	1	yes	characteristic
183	C₁₉×#124	—	2	1	no	—
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	1	no	—
189	C₁₉×#124	D₄	1	1	yes	characteristic
190	C₁₉×#124	C₂³	1	2	yes	—
191	C₁₉×#124	C₂³	1	2	yes	—
192	C₁₉×#124	C₂³	1	2	yes	—
193	C₁₉×#123	—	2	2	no	—
194	C₁₉×#123	—	2	2	no	—
195	C₁₉×#123	—	2	2	no	—
196	C₁₉×#123	—	2	2	no	—
197	C₁₉×#123	—	2	2	no	—
198	C₁₉×#123	—	2	2	no	—
199	C₁₉×#123	—	2	2	no	—
200	C₁₉×#123	D₄	1	2	yes	—
201	C₁₉×C₂²⋊Q₈	—	2	1	no	—
202	C₁₉×C₂²⋊Q₈	—	2	2	no	—
203	C₁₉×C₂²⋊Q₈	—	2	2	no	—
204	C₁₉×C₂²⋊Q₈	—	2	2	no	—
205	C₁₉×C₂²⋊Q₈	—	2	2	no	—
206	C₁₉×C₂²⋊Q₈	—	2	2	no	—
207	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
208	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₉×#121	—	2	2	no	—
211	C₁₉×#121	—	2	1	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	2	no	—
219	C₁₉×#121	—	2	1	no	—
220	C₁₉×#121	—	2	2	no	—
221	C₁₉×#121	—	2	2	no	—
222	C₁₉×#121	—	2	2	no	—
223	C₁₉×#121	—	2	2	no	—
224	C₁₉×#121	—	2	2	no	—
225	C₁₉×#121	D₄	1	1	yes	characteristic
226	C₁₉×#121	C₂³	1	2	yes	—
227	C₁₉×#121	C₂³	1	1	yes	characteristic
228	C₁₉×#121	C₂³	1	1	yes	characteristic
229	C₁₉×#121	C₂³	1	2	yes	—
230	C₁₉×#121	C₂³	1	2	yes	—
231	C₁₉×#120	—	2	2	no	—
232	C₁₉×#120	—	2	2	no	—
233	C₁₉×#120	—	2	2	no	—
234	C₁₉×#120	—	2	2	no	—
235	C₄×Q₈×C₁₉	—	2	1	no	—
236	C₄×Q₈×C₁₉	—	2	1	no	—
237	C₄×Q₈×C₁₉	—	2	1	no	—
238	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
241	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
243	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₉	—	2	1	no	—
246	C₄×D₄×C₁₉	—	2	1	no	—
247	C₄×D₄×C₁₉	—	2	1	no	—
248	C₄×D₄×C₁₉	—	2	2	no	—
249	C₄×D₄×C₁₉	—	2	2	no	—
250	C₄×D₄×C₁₉	—	2	2	no	—
251	C₄×D₄×C₁₉	—	2	2	no	—
252	C₄×D₄×C₁₉	—	2	1	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	2	yes	—
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	2	yes	—
263	C₁₉×#117	—	2	2	no	—
264	C₁₉×#117	—	2	1	no	—
265	C₁₉×#117	C₂³	1	2	yes	—
266	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
267	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
268	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
269	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
270	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
272	C₂×C₄²×C₁₉	—	2	1	no	—
273	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₁₉×#106	C₂³	1	1	yes	characteristic
275	C₁₉×#106	C₂³	1	1	yes	characteristic
276	C₁₉×#106	C₂³	1	1	yes	characteristic
277	C₁₉×#106	C₂³	1	1	yes	characteristic
278	C₁₉×#106	C₂³	1	2	yes	—
279	C₁₉×#106	C₂³	1	2	yes	—
280	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×#103	C₂³	1	2	yes	—
288	C₁₉×#103	C₂³	1	2	yes	—
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	1	yes	characteristic
291	C₁₉×#103	C₂³	1	1	yes	characteristic
292	C₁₉×#103	C₂³	1	1	yes	characteristic
293	C₁₉×#103	C₂³	1	1	yes	characteristic
294	C₁₉×#103	C₂³	1	2	yes	—
295	C₁₉×#102	C₂³	1	1	yes	characteristic
296	C₁₉×#102	C₂³	1	2	yes	—
297	C₁₉×#102	C₂³	1	2	yes	—
298	C₁₉×#102	C₂³	1	2	yes	—
299	C₁₉×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
308	C₁₉×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₉×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	2	yes	—
315	C₂⁴×C₁₉	—	2	2	no	—
316	#41×C₁₉	—	2	4	no	—
317	#41×C₁₉	—	4	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	4	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	2	no	—
329	C₂×Q₈×C₁₉	—	2	1	no	—
330	C₂×Q₈×C₁₉	—	2	2	no	—
331	C₂×Q₈×C₁₉	—	4	1	no	—
332	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
333	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
335	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₉	—	2	2	no	—
337	C₂×D₄×C₁₉	—	2	2	no	—
338	C₂×D₄×C₁₉	—	2	1	no	—
339	C₂×D₄×C₁₉	—	2	2	no	—
340	C₂×D₄×C₁₉	—	2	2	no	—
341	C₂×D₄×C₁₉	—	2	2	no	—
342	C₂×D₄×C₁₉	—	2	1	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	2	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	1	no	—
353	C₂×D₄×C₁₉	—	4	2	no	—
354	C₂×D₄×C₁₉	—	4	2	no	—
355	C₂×D₄×C₁₉	—	8	2	no	—
356	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
357	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
358	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
359	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
360	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
361	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₉	—	2	1	no	—
363	C₂²×C₄×C₁₉	—	2	1	no	—
364	C₂²×C₄×C₁₉	—	2	2	no	—
365	C₂²×C₄×C₁₉	—	2	2	no	—
366	C₂²×C₄×C₁₉	—	2	1	no	—
367	C₂²×C₄×C₁₉	—	2	1	no	—
368	C₂²×C₄×C₁₉	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
374	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
375	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
377	Q₁₆×C₁₉	—	2	4	no	—
378	Q₁₆×C₁₉	—	4	2	no	—
379	SD₁₆×C₁₉	—	2	2	no	—
380	SD₁₆×C₁₉	—	2	2	no	—
381	SD₁₆×C₁₉	—	2	4	no	—
382	SD₁₆×C₁₉	—	4	1	no	—
383	SD₁₆×C₁₉	—	4	2	no	—
384	SD₁₆×C₁₉	—	4	1	no	—
385	SD₁₆×C₁₉	—	4	2	no	—
386	SD₁₆×C₁₉	—	4	2	no	—
387	D₈×C₁₉	—	4	2	no	—
388	D₈×C₁₉	—	4	2	no	—
389	D₈×C₁₉	—	4	2	no	—
390	D₈×C₁₉	—	4	2	no	—
391	M₁₆×C₁₉	—	4	2	no	—
392	M₁₆×C₁₉	—	4	2	no	—
393	C₂×C₈×C₁₉	—	4	2	no	—
394	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
398	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
399	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
400	C₄⋊C₄×C₁₉	—	2	1	no	—
401	C₄⋊C₄×C₁₉	—	2	2	no	—
402	C₄⋊C₄×C₁₉	—	2	1	no	—
403	C₄⋊C₄×C₁₉	—	2	2	no	—
404	C₄⋊C₄×C₁₉	—	2	1	no	—
405	C₄⋊C₄×C₁₉	—	2	1	no	—
406	C₄⋊C₄×C₁₉	—	2	1	no	—
407	C₄⋊C₄×C₁₉	—	2	2	no	—
408	C₄⋊C₄×C₁₉	—	2	1	no	—
409	C₄⋊C₄×C₁₉	—	2	1	no	—
410	C₄⋊C₄×C₁₉	—	2	1	no	—
411	C₄⋊C₄×C₁₉	—	2	1	no	—
412	C₄⋊C₄×C₁₉	—	2	2	no	—
413	C₄⋊C₄×C₁₉	—	2	2	no	—
414	C₄⋊C₄×C₁₉	—	2	2	no	—
415	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
416	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
417	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
418	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
419	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
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	1	yes	characteristic
424	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
425	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
426	C₂²⋊C₄×C₁₉	—	2	2	no	—
427	C₂²⋊C₄×C₁₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₉	—	2	1	no	—
429	C₂²⋊C₄×C₁₉	—	2	2	no	—
430	C₂²⋊C₄×C₁₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₉	—	2	2	no	—
432	C₂²⋊C₄×C₁₉	—	2	2	no	—
433	C₂²⋊C₄×C₁₉	—	2	1	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	2	no	—
439	C₂²⋊C₄×C₁₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₉	—	2	2	no	—
441	C₂²⋊C₄×C₁₉	—	2	1	no	—
442	C₂²⋊C₄×C₁₉	—	2	2	no	—
443	C₂²⋊C₄×C₁₉	—	2	1	no	—
444	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
445	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
446	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
447	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
448	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
449	C₄²×C₁₉	—	2	1	no	—
450	C₄²×C₁₉	—	2	1	no	—
451	C₄²×C₁₉	—	2	1	no	—
452	C₄²×C₁₉	—	2	1	no	—
453	C₄²×C₁₉	—	2	2	no	—
454	C₄²×C₁₉	—	2	2	no	—
455	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
457	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
458	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
459	C₄²×C₁₉	C₂⁴	1	2	yes	—
460	#62045	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
461	C₂³×C₁₉	—	2	2	no	—
462	C₂³×C₁₉	—	2	1	no	—
463	C₂³×C₁₉	—	2	2	no	—
464	C₂³×C₁₉	—	2	1	no	—
465	C₂³×C₁₉	—	8	2	no	—
466	C₂³×C₁₉	—	8	2	no	—
467	C₂³×C₁₉	—	8	2	no	—
468	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
469	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
470	Q₈×C₁₉	—	2	2	no	—
471	Q₈×C₁₉	—	2	1	no	—
472	Q₈×C₁₉	—	2	1	no	—
473	Q₈×C₁₉	—	2	2	no	—
474	Q₈×C₁₉	—	2	1	no	—
475	Q₈×C₁₉	—	2	2	no	—
476	Q₈×C₁₉	—	4	2	no	—
477	Q₈×C₁₉	—	8	1	no	—
478	Q₈×C₁₉	—	8	2	no	—
479	Q₈×C₁₉	—	8	1	no	—
480	Q₈×C₁₉	H(5,𝔽₂)	1	2	yes	—
481	D₄×C₁₉	—	2	2	no	—
482	D₄×C₁₉	—	2	2	no	—
483	D₄×C₁₉	—	2	1	no	—
484	D₄×C₁₉	—	2	1	no	—
485	D₄×C₁₉	—	2	2	no	—
486	D₄×C₁₉	—	2	2	no	—
487	D₄×C₁₉	—	2	2	no	—
488	D₄×C₁₉	—	2	1	no	—
489	D₄×C₁₉	—	2	1	no	—
490	D₄×C₁₉	—	4	2	no	—
491	D₄×C₁₉	—	4	4	no	—
492	D₄×C₁₉	—	4	4	no	—
493	D₄×C₁₉	—	4	2	no	—
494	D₄×C₁₉	—	4	2	no	—
495	D₄×C₁₉	—	8	1	no	—
496	D₄×C₁₉	—	8	1	no	—
497	D₄×C₁₉	—	8	2	no	—
498	D₄×C₁₉	—	8	2	no	—
499	D₄×C₁₉	—	8	1	no	—
500	D₄×C₁₉	—	8	1	no	—
501	D₄×C₁₉	—	8	2	no	—
502	D₄×C₁₉	—	8	2	no	—
503	D₄×C₁₉	—	8	2	no	—
504	D₄×C₁₉	—	8	2	no	—
505	D₄×C₁₉	—	8	2	no	—
506	D₄×C₁₉	—	8	1	no	—
507	D₄×C₁₉	—	8	1	no	—
508	C₂×C₄×C₁₉	—	2	1	no	—
509	C₂×C₄×C₁₉	—	2	2	no	—
510	C₂×C₄×C₁₉	—	2	2	no	—
511	C₂×C₄×C₁₉	—	2	1	no	—
512	C₂×C₄×C₁₉	—	2	2	no	—
513	C₂×C₄×C₁₉	—	2	1	no	—
514	C₂×C₄×C₁₉	—	2	1	no	—
515	C₂×C₄×C₁₉	—	2	1	no	—
516	C₂×C₄×C₁₉	—	2	1	no	—
517	C₂×C₄×C₁₉	—	2	1	no	—
518	C₂×C₄×C₁₉	—	2	2	no	—
519	C₂×C₄×C₁₉	—	2	2	no	—
520	C₂×C₄×C₁₉	—	2	1	no	—
521	C₂×C₄×C₁₉	—	4	1	no	—
522	C₂×C₄×C₁₉	—	4	4	no	—
523	C₂×C₄×C₁₉	—	4	2	no	—
524	C₂×C₄×C₁₉	—	4	2	no	—
525	C₂×C₄×C₁₉	—	4	2	no	—
526	C₂×C₄×C₁₉	—	4	2	no	—
527	C₂×C₄×C₁₉	—	8	2	no	—
528	C₂×C₄×C₁₉	—	8	2	no	—
529	C₂×C₄×C₁₉	—	8	2	no	—
530	C₂×C₄×C₁₉	—	8	2	no	—
531	C₂×C₄×C₁₉	—	8	2	no	—
532	C₂×C₄×C₁₉	—	8	2	no	—
533	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
535	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
536	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
542	C₈×C₁₉	—	2	1	no	—
543	C₈×C₁₉	—	2	2	no	—
544	C₈×C₁₉	—	2	1	no	—
545	C₈×C₁₉	—	2	2	no	—
546	C₈×C₁₉	—	2	1	no	—
547	C₈×C₁₉	—	2	1	no	—
548	#3546	C₂×C₁₉	1	1	yes	characteristic, complemented
549	#3522	C₂×C₁₉	1	1	yes	characteristic, complemented
550	#3399	C₂×C₁₉	1	1	yes	characteristic, complemented
551	#3394	C₂×C₁₉	1	1	yes	characteristic, complemented
552	#3369	C₂×C₁₉	1	1	yes	characteristic, complemented
553	#3362	C₂×C₁₉	1	1	yes	characteristic, complemented
554	#3332	C₂×C₁₉	1	2	yes	complemented
555	#3331	C₂×C₁₉	1	1	yes	characteristic, complemented
556	#3306	C₂×C₁₉	1	2	yes	complemented
557	#3295	C₂×C₁₉	1	1	yes	characteristic, complemented
558	#3284	C₂×C₁₉	1	1	yes	characteristic, complemented
559	#3275	C₂×C₁₉	1	2	yes	complemented
560	#3274	C₂×C₁₉	1	1	yes	characteristic, complemented
561	#3271	C₂×C₁₉	1	2	yes	complemented
562	#3263	C₂×C₁₉	1	2	yes	complemented
563	#3253	C₂×C₁₉	1	1	yes	characteristic, complemented
564	#3224	C₂×C₁₉	1	2	yes	complemented
565	#3207	C₂×C₁₉	1	1	yes	characteristic, complemented
566	#3125	C₂×C₁₉	1	2	yes	complemented
567	#3103	C₂×C₁₉	1	1	yes	characteristic, complemented
568	#3045	C₂×C₁₉	1	2	yes	complemented
569	#3037	C₂×C₁₉	1	1	yes	characteristic, complemented
570	#2993	C₂×C₁₉	1	1	yes	characteristic, complemented
571	C₂²×C₁₉	—	2	1	no	—
572	C₂²×C₁₉	—	2	2	no	—
573	C₂²×C₁₉	—	2	1	no	—
574	C₂²×C₁₉	—	2	2	no	—
575	C₂²×C₁₉	—	2	1	no	—
576	C₂²×C₁₉	—	2	2	no	—
577	C₂²×C₁₉	—	4	2	no	—
578	C₂²×C₁₉	—	4	1	no	—
579	C₂²×C₁₉	—	4	2	no	—
580	C₂²×C₁₉	—	4	1	no	—
581	C₂²×C₁₉	—	4	2	no	—
582	C₂²×C₁₉	—	4	1	no	—
583	C₂²×C₁₉	—	4	2	no	—
584	C₂²×C₁₉	—	4	1	no	—
585	C₂²×C₁₉	—	4	1	no	—
586	C₂²×C₁₉	—	4	1	no	—
587	C₂²×C₁₉	—	4	2	no	—
588	C₂²×C₁₉	—	4	2	no	—
589	C₂²×C₁₉	—	16	4	no	—
590	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
591	C₄×C₁₉	—	2	1	no	—
592	C₄×C₁₉	—	2	1	no	—
593	C₄×C₁₉	—	2	2	no	—
594	C₄×C₁₉	—	2	2	no	—
595	C₄×C₁₉	—	2	1	no	—
596	C₄×C₁₉	—	2	2	no	—
597	C₄×C₁₉	—	2	1	no	—
598	C₄×C₁₉	—	2	2	no	—
599	C₄×C₁₉	—	4	1	no	—
600	C₄×C₁₉	—	4	1	no	—
601	C₄×C₁₉	—	4	2	no	—
602	C₄×C₁₉	—	4	1	no	—
603	C₄×C₁₉	—	4	2	no	—
604	C₄×C₁₉	—	4	1	no	—
605	C₄×C₁₉	—	4	1	no	—
606	C₄×C₁₉	#577	1	2	yes	—
607	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
608	C₄×C₁₉	#585	1	1	yes	characteristic
609	C₂×#137	C₂²×C₁₉	1	2	yes	complemented
610	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	—
611	C₂×#135	C₂²×C₁₉	1	2	yes	complemented
612	#560	—	2	2	no	—
613	#559	—	2	1	no	—
614	#559	C₂²×C₁₉	1	1	yes	characteristic, complemented
615	Q₈²	C₂²×C₁₉	1	1	yes	characteristic, complemented
616	#556	C₂²×C₁₉	1	1	yes	characteristic
617	#554	—	2	1	no	—
618	#554	C₂²×C₁₉	1	1	yes	characteristic
619	#553	—	2	1	no	—
620	#550	C₂²×C₁₉	1	2	yes	—
621	#550	C₂²×C₁₉	1	1	yes	characteristic
622	#550	C₂²×C₁₉	1	1	yes	characteristic
623	#548	C₂²×C₁₉	1	2	yes	complemented
624	#547	—	2	2	no	—
625	#547	C₂²×C₁₉	1	1	yes	characteristic
626	#547	C₂²×C₁₉	1	2	yes	complemented
627	#546	—	2	1	no	—
628	#546	C₂²×C₁₉	1	2	yes	—
629	D₄²	C₂²×C₁₉	1	1	yes	characteristic
630	#542	—	2	2	no	—
631	#542	C₂²×C₁₉	1	2	yes	—
632	#542	C₂²×C₁₉	1	2	yes	complemented
633	#538	—	2	2	no	—
634	#537	—	2	1	no	—
635	#535	—	2	1	no	—
636	#535	C₂²×C₁₉	1	2	yes	—
637	#532	—	2	1	no	—
638	#532	C₂²×C₁₉	1	1	yes	characteristic
639	#532	C₂²×C₁₉	1	1	yes	characteristic
640	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
641	#529	—	2	1	no	—
642	#529	C₂²×C₁₉	1	1	yes	characteristic
643	#520	C₂²×C₁₉	1	2	yes	complemented
644	C₂×C₄×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
645	#496	C₂²×C₁₉	1	2	yes	complemented
646	#495	C₂²×C₁₉	1	2	yes	—
647	#493	C₂²×C₁₉	1	1	yes	characteristic
648	#492	C₂²×C₁₉	1	1	yes	characteristic, complemented
649	#489	C₂²×C₁₉	1	2	yes	—
650	#487	C₂²×C₁₉	1	1	yes	characteristic, complemented
651	#486	C₂²×C₁₉	1	1	yes	characteristic
652	#486	C₂²×C₁₉	1	2	yes	complemented
653	#483	C₂²×C₁₉	1	2	yes	complemented
654	#481	C₂²×C₁₉	1	2	yes	—
655	#481	C₂²×C₁₉	1	1	yes	characteristic
656	#481	C₂²×C₁₉	1	1	yes	characteristic, complemented
657	#476	C₂²×C₁₉	1	1	yes	characteristic
658	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
659	#476	C₂²×C₁₉	1	2	yes	complemented
660	#476	C₂²×C₁₉	1	2	yes	complemented
661	#475	C₂²×C₁₉	1	2	yes	complemented
662	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
663	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
664	#470	C₂²×C₁₉	1	2	yes	complemented
665	#469	C₂²×C₁₉	1	2	yes	—
666	#469	C₂²×C₁₉	1	2	yes	—
667	#469	C₂²×C₁₉	1	2	yes	complemented
668	#465	C₂²×C₁₉	1	2	yes	—
669	#465	C₂²×C₁₉	1	2	yes	complemented
670	#464	C₂²×C₁₉	1	2	yes	—
671	#464	C₂²×C₁₉	1	2	yes	complemented
672	#464	C₂²×C₁₉	1	2	yes	complemented
673	#464	C₂²×C₁₉	1	2	yes	complemented
674	#463	C₂²×C₁₉	1	2	yes	—
675	#463	C₂²×C₁₉	1	2	yes	complemented
676	#463	C₂²×C₁₉	1	2	yes	complemented
677	#463	C₂²×C₁₉	1	2	yes	complemented
678	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
679	#462	C₂²×C₁₉	1	1	yes	characteristic, complemented
680	#460	C₂²×C₁₉	1	1	yes	characteristic
681	#460	C₂²×C₁₉	1	1	yes	characteristic
682	#460	C₂²×C₁₉	1	1	yes	characteristic
683	#460	C₂²×C₁₉	1	1	yes	characteristic
684	#460	C₂²×C₁₉	1	2	yes	complemented
685	#459	C₂²×C₁₉	1	1	yes	characteristic
686	#459	C₂²×C₁₉	1	2	yes	—
687	#459	C₂²×C₁₉	1	2	yes	complemented
688	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
689	#452	C₂²×C₁₉	1	2	yes	complemented
690	#452	C₂²×C₁₉	1	2	yes	complemented
691	#450	C₂²×C₁₉	1	2	yes	—
692	#449	C₂²×C₁₉	1	2	yes	—
693	#449	C₂²×C₁₉	1	2	yes	complemented
694	#449	C₂²×C₁₉	1	2	yes	complemented
695	#449	C₂²×C₁₉	1	2	yes	complemented
696	#448	C₂²×C₁₉	1	1	yes	characteristic
697	#448	C₂²×C₁₉	1	1	yes	characteristic, complemented
698	#447	C₂²×C₁₉	1	2	yes	—
699	#446	C₂²×C₁₉	1	1	yes	characteristic, complemented
700	C₈×Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
701	#442	C₂²×C₁₉	1	2	yes	complemented
702	#441	C₂²×C₁₉	1	2	yes	complemented
703	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
704	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic
705	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
706	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
707	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
708	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
709	#436	C₂²×C₁₉	1	1	yes	characteristic
710	#436	C₂²×C₁₉	1	2	yes	complemented
711	#435	C₂²×C₁₉	1	2	yes	complemented
712	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic
713	#433	C₂²×C₁₉	1	2	yes	complemented
714	#431	C₂²×C₁₉	1	1	yes	characteristic, complemented
715	#424	C₂²×C₁₉	1	2	yes	complemented
716	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
717	#417	C₂²×C₁₉	1	2	yes	complemented
718	#417	C₂²×C₁₉	1	2	yes	complemented
719	C₂×#102	C₂²×C₁₉	1	2	yes	—
720	C₂×C₁₉	—	4	1	no	—
721	C₂×C₁₉	—	4	2	no	—
722	C₂×C₁₉	—	8	2	no	—
723	C₂×C₁₉	—	8	1	no	—
724	C₂×C₁₉	—	8	2	no	—
725	C₂×C₁₉	—	8	1	no	—
726	C₂×C₁₉	#3488	1	1	yes	characteristic
727	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
728	C₂×C₁₉	#3585	1	1	yes	characteristic
729	C₂×#41	—	2	1	no	—
730	C₂×#41	—	2	2	no	—
731	C₂×#41	—	2	1	no	—
732	C₂×#41	—	2	1	no	—
733	C₂×#41	C₂³×C₁₉	1	2	yes	—
734	C₂×#41	C₂³×C₁₉	1	2	yes	—
735	C₂×#41	C₂³×C₁₉	1	2	yes	—
736	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
737	C₂²×D₄	—	2	1	no	—
738	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
739	#137	—	4	4	no	—
740	AGL(1,ℤ/8)	—	4	4	no	—
741	#135	—	4	4	no	—
742	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
743	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
744	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
745	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
746	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
747	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
748	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
749	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
750	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
751	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
752	C₂×D₈	C₂³×C₁₉	1	2	yes	—
753	C₂×D₈	C₂³×C₁₉	1	2	yes	—
754	C₂×D₈	C₂³×C₁₉	1	2	yes	—
755	C₂×D₈	C₂³×C₁₉	1	2	yes	—
756	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
757	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
758	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
759	C₄⋊Q₈	—	2	1	no	—
760	C₄⋊Q₈	—	2	2	no	—
761	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
762	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
763	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
764	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
765	#127	—	2	1	no	—
766	#127	—	2	2	no	—
767	#127	C₂³×C₁₉	1	1	yes	characteristic
768	#127	C₂³×C₁₉	1	1	yes	characteristic
769	#127	C₂³×C₁₉	1	1	yes	characteristic
770	#127	C₂³×C₁₉	1	2	yes	—
771	#126	—	2	2	no	—
772	#126	—	2	2	no	—
773	#126	—	2	2	no	—
774	#126	D₄×C₁₉	1	2	yes	—
775	#125	—	2	1	no	—
776	#125	D₄×C₁₉	1	1	yes	characteristic
777	#124	—	2	1	no	—
778	#124	—	2	2	no	—
779	#124	—	2	2	no	—
780	#124	—	2	2	no	—
781	#124	—	2	1	no	—
782	#124	—	2	1	no	—
783	#124	D₄×C₁₉	1	1	yes	characteristic
784	#124	C₂³×C₁₉	1	2	yes	—
785	#124	C₂³×C₁₉	1	2	yes	—
786	#124	C₂³×C₁₉	1	2	yes	—
787	#123	—	2	2	no	—
788	#123	—	2	2	no	—
789	#123	—	2	2	no	—
790	#123	—	2	2	no	—
791	#123	—	2	2	no	—
792	#123	—	2	2	no	—
793	#123	—	2	2	no	—
794	#123	D₄×C₁₉	1	2	yes	—
795	C₂²⋊Q₈	—	2	1	no	—
796	C₂²⋊Q₈	—	2	2	no	—
797	C₂²⋊Q₈	—	2	2	no	—
798	C₂²⋊Q₈	—	2	2	no	—
799	C₂²⋊Q₈	—	2	2	no	—
800	C₂²⋊Q₈	—	2	2	no	—
801	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
802	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
803	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
804	#121	—	2	2	no	—
805	#121	—	2	1	no	—
806	#121	—	2	1	no	—
807	#121	—	2	1	no	—
808	#121	—	2	1	no	—
809	#121	—	2	1	no	—
810	#121	—	2	1	no	—
811	#121	—	2	2	no	—
812	#121	—	2	2	no	—
813	#121	—	2	1	no	—
814	#121	—	2	2	no	—
815	#121	—	2	2	no	—
816	#121	—	2	2	no	—
817	#121	—	2	2	no	—
818	#121	—	2	2	no	—
819	#121	D₄×C₁₉	1	1	yes	characteristic
820	#121	C₂³×C₁₉	1	1	yes	characteristic
821	#121	C₂³×C₁₉	1	1	yes	characteristic
822	#121	C₂³×C₁₉	1	2	yes	—
823	#121	C₂³×C₁₉	1	2	yes	—
824	#121	C₂³×C₁₉	1	2	yes	—
825	#120	—	2	2	no	—
826	#120	—	2	2	no	—
827	#120	—	2	2	no	—
828	#120	—	2	2	no	—
829	C₄×Q₈	—	2	1	no	—
830	C₄×Q₈	—	2	1	no	—
831	C₄×Q₈	—	2	1	no	—
832	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
833	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
834	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
835	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
836	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
837	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
838	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	2	2	no	—
843	C₄×D₄	—	2	2	no	—
844	C₄×D₄	—	2	2	no	—
845	C₄×D₄	—	2	2	no	—
846	C₄×D₄	—	2	1	no	—
847	C₄×D₄	—	2	1	no	—
848	C₄×D₄	—	2	1	no	—
849	C₄×D₄	—	2	1	no	—
850	C₄×D₄	C₂³×C₁₉	1	2	yes	—
851	C₄×D₄	C₂³×C₁₉	1	2	yes	—
852	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
853	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
854	C₄×D₄	C₂³×C₁₉	1	2	yes	—
855	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
856	C₄×D₄	C₂³×C₁₉	1	2	yes	—
857	#117	—	2	2	no	—
858	#117	—	2	1	no	—
859	#117	C₂³×C₁₉	1	2	yes	—
860	C₂×C₄⋊C₄	—	2	1	no	—
861	C₂×C₄⋊C₄	—	2	2	no	—
862	C₂×C₄⋊C₄	—	2	1	no	—
863	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
865	C₂×C₂²⋊C₄	—	2	2	no	—
866	C₂×C₄²	—	2	1	no	—
867	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
868	#106	C₂³×C₁₉	1	1	yes	characteristic
869	#106	C₂³×C₁₉	1	1	yes	characteristic
870	#106	C₂³×C₁₉	1	1	yes	characteristic
871	#106	C₂³×C₁₉	1	1	yes	characteristic
872	#106	C₂³×C₁₉	1	2	yes	—
873	#106	C₂³×C₁₉	1	2	yes	—
874	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
875	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
876	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
877	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
878	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
879	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
880	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
881	#103	C₂³×C₁₉	1	2	yes	—
882	#103	C₂³×C₁₉	1	2	yes	—
883	#103	C₂³×C₁₉	1	2	yes	—
884	#103	C₂³×C₁₉	1	1	yes	characteristic
885	#103	C₂³×C₁₉	1	1	yes	characteristic
886	#103	C₂³×C₁₉	1	1	yes	characteristic
887	#103	C₂³×C₁₉	1	1	yes	characteristic
888	#103	C₂³×C₁₉	1	2	yes	—
889	#102	C₂³×C₁₉	1	1	yes	characteristic
890	#102	C₂³×C₁₉	1	2	yes	—
891	#102	C₂³×C₁₉	1	2	yes	—
892	#102	C₂³×C₁₉	1	2	yes	—
893	#102	C₂³×C₁₉	1	1	yes	characteristic
894	#102	C₂³×C₁₉	1	2	yes	—
895	#102	C₂³×C₁₉	1	2	yes	—
896	#102	C₂³×C₁₉	1	1	yes	characteristic
897	#102	C₂³×C₁₉	1	2	yes	—
898	#102	C₂³×C₁₉	1	1	yes	characteristic
899	#102	C₂³×C₁₉	1	2	yes	—
900	#102	C₂³×C₁₉	1	2	yes	—
901	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
902	C₂²⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
903	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
904	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
905	#97	C₂³×C₁₉	1	2	yes	—
906	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
907	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
908	C₄×C₈	C₂³×C₁₉	1	2	yes	—
909	C₁₉	#62045	1	1	yes	characteristic, direct product factor, Sylow
910	C₂⁴	—	2	2	no	—
911	#41	—	2	4	no	—
912	#41	—	4	2	no	—
913	#41	—	4	2	no	—
914	#41	—	4	2	no	—
915	#41	—	4	2	no	—
916	#41	—	4	2	no	—
917	#41	—	8	2	no	—
918	#41	—	8	2	no	—
919	#41	—	8	4	no	—
920	#41	—	8	2	no	—
921	C₂×Q₈	—	2	1	no	—
922	C₂×Q₈	—	2	1	no	—
923	C₂×Q₈	—	2	2	no	—
924	C₂×Q₈	—	2	1	no	—
925	C₂×Q₈	—	2	2	no	—
926	C₂×Q₈	—	4	1	no	—
927	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
928	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
929	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
930	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	1	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	1	no	—
940	C₂×D₄	—	2	1	no	—
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	1	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	1	no	—
945	C₂×D₄	—	2	2	no	—
946	C₂×D₄	—	2	2	no	—
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	—	4	2	no	—
949	C₂×D₄	—	4	2	no	—
950	C₂×D₄	—	8	2	no	—
951	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
952	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
953	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
954	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
955	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
956	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
957	C₂²×C₄	—	2	1	no	—
958	C₂²×C₄	—	2	1	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	1	no	—
962	C₂²×C₄	—	2	1	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	C₂×D₄×C₁₉	1	1	yes	characteristic
969	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
970	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
971	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
972	Q₁₆	—	2	4	no	—
973	Q₁₆	—	4	2	no	—
974	SD₁₆	—	2	2	no	—
975	SD₁₆	—	2	2	no	—
976	SD₁₆	—	2	4	no	—
977	SD₁₆	—	4	1	no	—
978	SD₁₆	—	4	2	no	—
979	SD₁₆	—	4	1	no	—
980	SD₁₆	—	4	2	no	—
981	SD₁₆	—	4	2	no	—
982	D₈	—	4	2	no	—
983	D₈	—	4	2	no	—
984	D₈	—	4	2	no	—
985	D₈	—	4	2	no	—
986	M₁₆	—	4	2	no	—
987	M₁₆	—	4	2	no	—
988	C₂×C₈	—	4	2	no	—
989	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
990	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
991	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
992	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
993	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
994	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	1	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	1	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	1	no	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	1	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1011	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1012	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1013	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1014	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1015	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1016	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1017	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1018	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1019	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1020	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1040	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1041	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1042	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1043	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1044	C₄²	—	2	1	no	—
1045	C₄²	—	2	1	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	2	1	no	—
1048	C₄²	—	2	2	no	—
1049	C₄²	—	2	2	no	—
1050	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1051	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1052	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1053	C₄²	C₂⁴×C₁₉	1	2	yes	—
1054	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	1	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	8	2	no	—
1060	C₂³	—	8	2	no	—
1061	C₂³	—	8	2	no	—
1062	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1063	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1064	Q₈	—	2	2	no	—
1065	Q₈	—	2	1	no	—
1066	Q₈	—	2	1	no	—
1067	Q₈	—	2	2	no	—
1068	Q₈	—	2	1	no	—
1069	Q₈	—	2	2	no	—
1070	Q₈	—	4	2	no	—
1071	Q₈	—	8	1	no	—
1072	Q₈	—	8	1	no	—
1073	Q₈	—	8	2	no	—
1074	Q₈	C₁₉×H(5,𝔽₂)	1	2	yes	—
1075	D₄	—	2	2	no	—
1076	D₄	—	2	2	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	2	1	no	—
1079	D₄	—	2	2	no	—
1080	D₄	—	2	2	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	2	1	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	4	4	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	4	2	no	—
1089	D₄	—	8	2	no	—
1090	D₄	—	8	1	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	1	no	—
1093	D₄	—	8	1	no	—
1094	D₄	—	8	1	no	—
1095	D₄	—	8	2	no	—
1096	D₄	—	8	2	no	—
1097	D₄	—	8	2	no	—
1098	D₄	—	8	2	no	—
1099	D₄	—	8	1	no	—
1100	D₄	—	8	1	no	—
1101	D₄	—	8	2	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	4	1	no	—
1116	C₂×C₄	—	4	4	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	4	2	no	—
1120	C₂×C₄	—	4	2	no	—
1121	C₂×C₄	—	8	2	no	—
1122	C₂×C₄	—	8	2	no	—
1123	C₂×C₄	—	8	2	no	—
1124	C₂×C₄	—	8	2	no	—
1125	C₂×C₄	—	8	2	no	—
1126	C₂×C₄	—	8	2	no	—
1127	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1128	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1129	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1130	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1131	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1132	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1133	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1134	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1135	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1136	C₈	—	2	1	no	—
1137	C₈	—	2	2	no	—
1138	C₈	—	2	1	no	—
1139	C₈	—	2	2	no	—
1140	C₈	—	2	1	no	—
1141	C₈	—	2	1	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	2	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	1	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	2	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	4	2	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	2	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	16	4	no	—
1161	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1162	C₄	—	2	2	no	—
1163	C₄	—	2	1	no	—
1164	C₄	—	2	2	no	—
1165	C₄	—	2	1	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	2	1	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	2	2	no	—
1170	C₄	—	4	1	no	—
1171	C₄	—	4	2	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	1	no	—
1175	C₄	—	4	1	no	—
1176	C₄	—	4	2	no	—
1177	C₄	C₁₉×#577	1	2	yes	—
1178	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1179	C₄	C₁₉×#585	1	1	yes	characteristic
1180	C₂	—	4	2	no	—
1181	C₂	—	4	1	no	—
1182	C₂	—	8	1	no	—
1183	C₂	—	8	2	no	—
1184	C₂	—	8	2	no	—
1185	C₂	—	8	1	no	—
1186	C₂	C₁₉×#3488	1	1	yes	characteristic
1187	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1188	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×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3546	C₂	semidirect
2. C₁₉×#3522	C₂	semidirect
3. C₁₉×#3399	C₂	semidirect
4. C₁₉×#3394	C₂	semidirect
5. C₁₉×#3369	C₂	semidirect
6. C₁₉×#3362	C₂	semidirect
7. C₁₉×#3332	C₂	semidirect
8. C₁₉×#3331	C₂	semidirect
9. C₁₉×#3306	C₂	semidirect
10. C₁₉×#3295	C₂	semidirect
11. C₁₉×#3284	C₂	semidirect
12. C₁₉×#3275	C₂	semidirect
13. C₁₉×#3274	C₂	semidirect
14. C₁₉×#3271	C₂	semidirect
15. C₁₉×#3263	C₂	semidirect
16. C₁₉×#3253	C₂	semidirect
17. C₁₉×#3224	C₂	semidirect
18. C₁₉×#3207	C₂	semidirect
19. C₁₉×#3125	C₂	semidirect
20. C₁₉×#3103	C₂	semidirect
21. C₁₉×#3045	C₂	semidirect
22. C₁₉×#3037	C₂	semidirect
23. C₁₉×#2993	C₂	semidirect
24. C₂×C₁₉×#137	C₂²	semidirect
26. C₂×C₁₉×#135	C₂²	semidirect
29. C₁₉×#559	C₂²	semidirect
30. Q₈²×C₁₉	C₂²	semidirect
38. C₁₉×#548	C₂²	semidirect
41. C₁₉×#547	C₂²	semidirect
47. C₁₉×#542	C₂²	semidirect
55. C₁₉×#532	C₂²	semidirect
58. C₁₉×#520	C₂²	semidirect
59. C₂×C₄×Q₈×C₁₉	C₂²	semidirect
60. C₁₉×#496	C₂²	semidirect
63. C₁₉×#492	C₂²	semidirect
65. C₁₉×#487	C₂²	semidirect
67. C₁₉×#486	C₂²	semidirect
68. C₁₉×#483	C₂²	semidirect
71. C₁₉×#481	C₂²	semidirect
73. C₁₉×#476	C₂²	semidirect
74. C₁₉×#476	C₂²	semidirect
75. C₁₉×#476	C₂²	semidirect
76. C₁₉×#475	C₂²	semidirect
77. C₁₉×#475	C₂²	semidirect
78. C₁₉×#475	C₂²	semidirect
79. C₁₉×#470	C₂²	semidirect
82. C₁₉×#469	C₂²	semidirect
84. C₁₉×#465	C₂²	semidirect
86. C₁₉×#464	C₂²	semidirect
87. C₁₉×#464	C₂²	semidirect
88. C₁₉×#464	C₂²	semidirect
90. C₁₉×#463	C₂²	semidirect
91. C₁₉×#463	C₂²	semidirect
92. C₁₉×#463	C₂²	semidirect
93. C₁₉×#462	C₂²	semidirect
94. C₁₉×#462	C₂²	semidirect
99. C₁₉×#460	C₂²	semidirect
102. C₁₉×#459	C₂²	semidirect
103. C₁₉×#459	C₂²	semidirect
104. C₁₉×#452	C₂²	semidirect
105. C₁₉×#452	C₂²	semidirect
108. C₁₉×#449	C₂²	semidirect
109. C₁₉×#449	C₂²	semidirect
110. C₁₉×#449	C₂²	semidirect
112. C₁₉×#448	C₂²	semidirect
114. C₁₉×#446	C₂²	semidirect
115. C₈×Q₈×C₁₉	C₂²	semidirect
116. C₁₉×#442	C₂²	semidirect
117. C₁₉×#441	C₂²	semidirect
120. C₄×SD₁₆×C₁₉	C₂²	semidirect
121. C₄×SD₁₆×C₁₉	C₂²	semidirect
122. C₄×SD₁₆×C₁₉	C₂²	semidirect
123. C₄×SD₁₆×C₁₉	C₂²	semidirect
125. C₁₉×#436	C₂²	semidirect
126. C₁₉×#435	C₂²	semidirect
128. C₁₉×#433	C₂²	semidirect
129. C₁₉×#431	C₂²	semidirect
130. C₁₉×#424	C₂²	semidirect
131. C₁₉×#423	C₂²	semidirect
132. C₁₉×#417	C₂²	semidirect
133. C₁₉×#417	C₂²	semidirect
460. #62045	C₁₉	direct (N × H)
548. #3546	C₂×C₁₉	semidirect
549. #3522	C₂×C₁₉	semidirect
550. #3399	C₂×C₁₉	semidirect
551. #3394	C₂×C₁₉	semidirect
552. #3369	C₂×C₁₉	semidirect
553. #3362	C₂×C₁₉	semidirect
554. #3332	C₂×C₁₉	semidirect
555. #3331	C₂×C₁₉	semidirect
556. #3306	C₂×C₁₉	semidirect
557. #3295	C₂×C₁₉	semidirect
558. #3284	C₂×C₁₉	semidirect
559. #3275	C₂×C₁₉	semidirect
560. #3274	C₂×C₁₉	semidirect
561. #3271	C₂×C₁₉	semidirect
562. #3263	C₂×C₁₉	semidirect
563. #3253	C₂×C₁₉	semidirect
564. #3224	C₂×C₁₉	semidirect
565. #3207	C₂×C₁₉	semidirect
566. #3125	C₂×C₁₉	semidirect
567. #3103	C₂×C₁₉	semidirect
568. #3045	C₂×C₁₉	semidirect
569. #3037	C₂×C₁₉	semidirect
570. #2993	C₂×C₁₉	semidirect
609. C₂×#137	C₂²×C₁₉	semidirect
611. C₂×#135	C₂²×C₁₉	semidirect
614. #559	C₂²×C₁₉	semidirect
615. Q₈²	C₂²×C₁₉	semidirect
623. #548	C₂²×C₁₉	semidirect
626. #547	C₂²×C₁₉	semidirect
632. #542	C₂²×C₁₉	semidirect
640. #532	C₂²×C₁₉	semidirect
643. #520	C₂²×C₁₉	semidirect
644. C₂×C₄×Q₈	C₂²×C₁₉	semidirect
645. #496	C₂²×C₁₉	semidirect
648. #492	C₂²×C₁₉	semidirect
650. #487	C₂²×C₁₉	semidirect
652. #486	C₂²×C₁₉	semidirect
653. #483	C₂²×C₁₉	semidirect
656. #481	C₂²×C₁₉	semidirect
658. #476	C₂²×C₁₉	semidirect
659. #476	C₂²×C₁₉	semidirect
660. #476	C₂²×C₁₉	semidirect
661. #475	C₂²×C₁₉	semidirect
662. #475	C₂²×C₁₉	semidirect
663. #475	C₂²×C₁₉	semidirect
664. #470	C₂²×C₁₉	semidirect
667. #469	C₂²×C₁₉	semidirect
669. #465	C₂²×C₁₉	semidirect
671. #464	C₂²×C₁₉	semidirect
672. #464	C₂²×C₁₉	semidirect
673. #464	C₂²×C₁₉	semidirect
675. #463	C₂²×C₁₉	semidirect
676. #463	C₂²×C₁₉	semidirect
677. #463	C₂²×C₁₉	semidirect
678. #462	C₂²×C₁₉	semidirect
679. #462	C₂²×C₁₉	semidirect
684. #460	C₂²×C₁₉	semidirect
687. #459	C₂²×C₁₉	semidirect
688. #459	C₂²×C₁₉	semidirect
689. #452	C₂²×C₁₉	semidirect
690. #452	C₂²×C₁₉	semidirect
693. #449	C₂²×C₁₉	semidirect
694. #449	C₂²×C₁₉	semidirect
695. #449	C₂²×C₁₉	semidirect
697. #448	C₂²×C₁₉	semidirect
699. #446	C₂²×C₁₉	semidirect
700. C₈×Q₈	C₂²×C₁₉	semidirect
701. #442	C₂²×C₁₉	semidirect
702. #441	C₂²×C₁₉	semidirect
705. C₄×SD₁₆	C₂²×C₁₉	semidirect
706. C₄×SD₁₆	C₂²×C₁₉	semidirect
707. C₄×SD₁₆	C₂²×C₁₉	semidirect
708. C₄×SD₁₆	C₂²×C₁₉	semidirect
710. #436	C₂²×C₁₉	semidirect
711. #435	C₂²×C₁₉	semidirect
713. #433	C₂²×C₁₉	semidirect
714. #431	C₂²×C₁₉	semidirect
715. #424	C₂²×C₁₉	semidirect
716. #423	C₂²×C₁₉	semidirect
717. #417	C₂²×C₁₉	semidirect
718. #417	C₂²×C₁₉	semidirect
909. C₁₉	#62045	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×#3546	2
C₁₉×#3522	2
C₁₉×#3399	2
C₁₉×#3394	2
C₁₉×#3369	2
C₁₉×#3362	2
C₁₉×#3332	2
C₁₉×#3331	2
C₁₉×#3306	2
C₁₉×#3295	2
C₁₉×#3284	2
C₁₉×#3275	2
C₁₉×#3274	2
C₁₉×#3271	2
C₁₉×#3263	2
C₁₉×#3253	2
C₁₉×#3224	2
C₁₉×#3207	2
C₁₉×#3125	2
C₁₉×#3103	2
C₁₉×#3045	2
C₁₉×#3037	2
C₁₉×#2993	2
#62045	19

Subgroups — C19×#62045 #18068004

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62045 #18068004