Subgroups — C₁₉×#62299 #18068258

Order 4864.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1256 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₉×#3496	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3354	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3345	C₂	1	2	yes	maximal, complemented
5	C₁₉×#3335	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₉×#3332	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₉×#3325	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₉×#3318	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3306	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3295	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×#3253	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3251	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3194	C₂	1	2	yes	maximal, complemented
18	C₁₉×#3192	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×#3055	C₂	1	2	yes	maximal, complemented
22	C₂×C₁₉×#469	C₂	1	2	yes	maximal, complemented
23	D₄×M₁₆×C₁₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×H(5,𝔽₂)	—	2	1	no	—
25	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
26	C₂²×D₈×C₁₉	C₂²	1	2	yes	complemented
27	C₂²×M₁₆×C₁₉	C₂²	1	2	yes	complemented
28	C₁₉×#555	C₂²	1	1	yes	characteristic, complemented
29	C₁₉×#554	C₂²	1	1	yes	characteristic, complemented
30	C₁₉×#553	—	2	1	no	—
31	C₁₉×#553	C₂²	1	2	yes	complemented
32	C₁₉×#550	C₂²	1	1	yes	characteristic, complemented
33	C₁₉×#547	C₂²	1	1	yes	characteristic
34	C₁₉×#547	C₂²	1	2	yes	complemented
35	C₁₉×#547	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#546	—	2	1	no	—
37	C₁₉×#546	—	2	2	no	—
38	C₁₉×#546	—	2	1	no	—
39	C₁₉×#546	—	2	2	no	—
40	C₁₉×#546	C₂²	1	2	yes	complemented
41	D₄²×C₁₉	—	2	1	no	—
42	D₄²×C₁₉	C₂²	1	1	yes	characteristic
43	D₄²×C₁₉	C₂²	1	2	yes	complemented
44	D₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
45	D₄²×C₁₉	C₂²	1	1	yes	characteristic, complemented
46	C₁₉×#540	—	2	1	no	—
47	C₁₉×#538	—	2	2	no	—
48	C₁₉×#537	—	2	1	no	—
49	C₁₉×#534	—	2	2	no	—
50	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
52	C₁₉×#532	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#529	C₂²	1	1	yes	characteristic, complemented
54	C₁₉×#525	C₂²	1	2	yes	complemented
55	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
56	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
57	C₂×C₁₉×#121	C₂²	1	2	yes	complemented
58	C₁₉×#518	—	2	1	no	—
59	C₂×C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
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, complemented
63	C₁₉×#493	C₂²	1	1	yes	characteristic, complemented
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×#483	C₂²	1	2	yes	complemented
69	C₁₉×#482	C₂²	1	2	yes	complemented
70	C₁₉×#482	C₂²	1	2	yes	complemented
71	C₁₉×#481	C₂²	1	2	yes	complemented
72	C₁₉×#481	C₂²	1	2	yes	complemented
73	C₁₉×#481	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×#476	C₂²	1	1	yes	characteristic, complemented
78	C₁₉×#476	C₂²	1	2	yes	complemented
79	C₁₉×#476	C₂²	1	1	yes	characteristic, complemented
80	C₁₉×#475	C₂²	1	1	yes	characteristic, 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×#469	C₂²	1	2	yes	complemented
90	C₁₉×#469	C₂²	1	2	yes	complemented
91	C₁₉×#469	C₂²	1	2	yes	complemented
92	C₁₉×#469	C₂²	1	2	yes	complemented
93	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
94	C₁₉×#468	C₂²	1	1	yes	characteristic, complemented
95	C₁₉×#468	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, complemented
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	C₂×C₁₉×#106	C₂²	1	2	yes	complemented
128	C₁₉×#423	C₂²	1	1	yes	characteristic, complemented
129	C₁₉×#418	C₂²	1	2	yes	complemented
130	C₁₉×#417	C₂²	1	2	yes	complemented
131	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
132	C₂×C₁₉×#102	C₂²	1	2	yes	complemented
133	C₁₉×#407	C₂²	1	2	yes	complemented
134	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
135	C₁₉×H(5,𝔽₂)	—	4	8	no	—
136	C₂×#41×C₁₉	—	2	1	no	—
137	C₂×#41×C₁₉	—	2	2	no	—
138	C₂×#41×C₁₉	—	2	1	no	—
139	C₂×#41×C₁₉	—	2	1	no	—
140	C₂×#41×C₁₉	—	2	1	no	—
141	C₂×#41×C₁₉	—	2	1	no	—
142	C₂×#41×C₁₉	C₂³	1	2	yes	—
143	C₂²×D₄×C₁₉	—	2	2	no	—
144	C₂²×D₄×C₁₉	—	2	2	no	—
145	C₂²×D₄×C₁₉	—	2	2	no	—
146	C₂²×D₄×C₁₉	—	2	1	no	—
147	C₂²×D₄×C₁₉	—	2	1	no	—
148	C₂²×D₄×C₁₉	—	2	2	no	—
149	C₂²×D₄×C₁₉	—	2	1	no	—
150	C₂²×D₄×C₁₉	D₄	1	1	yes	characteristic
151	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
152	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
153	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₉	C₂³	1	2	yes	—
155	C₁₉×AGL(1,ℤ/8)	—	4	4	no	—
156	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
157	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
158	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
159	C₂×D₈×C₁₉	—	4	4	no	—
160	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
161	C₂×D₈×C₁₉	C₂³	1	2	yes	—
162	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
163	C₂×D₈×C₁₉	C₂³	1	2	yes	—
164	C₂×D₈×C₁₉	C₂³	1	2	yes	—
165	C₂×D₈×C₁₉	C₂³	1	2	yes	—
166	C₂×D₈×C₁₉	C₂³	1	2	yes	—
167	C₂×M₁₆×C₁₉	—	4	4	no	—
168	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
169	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
170	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
171	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
172	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
173	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
174	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
175	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
176	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
177	C₁₉×C₄⋊Q₈	C₂³	1	1	yes	characteristic
178	C₁₉×#127	—	2	1	no	—
179	C₁₉×#127	C₂³	1	1	yes	characteristic
180	C₁₉×#127	C₂³	1	1	yes	characteristic
181	C₁₉×#127	C₂³	1	1	yes	characteristic
182	C₁₉×#126	—	2	2	no	—
183	C₁₉×#126	—	2	1	no	—
184	C₁₉×#125	—	2	1	no	—
185	C₁₉×#125	C₂³	1	1	yes	characteristic
186	C₁₉×#124	—	2	2	no	—
187	C₁₉×#124	—	2	1	no	—
188	C₁₉×#124	—	2	1	no	—
189	C₁₉×#124	—	2	1	no	—
190	C₁₉×#124	C₂³	1	1	yes	characteristic
191	C₁₉×#123	—	2	2	no	—
192	C₁₉×#123	—	2	1	no	—
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×C₂²⋊Q₈	—	2	1	no	—
200	C₁₉×C₂²⋊Q₈	—	2	1	no	—
201	C₁₉×C₂²⋊Q₈	—	2	2	no	—
202	C₁₉×C₂²⋊Q₈	—	2	2	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	2	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	2	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	1	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	C₂³	1	2	yes	—
223	C₁₉×#121	C₂³	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	1	yes	characteristic
230	C₁₉×#121	C₂³	1	1	yes	characteristic
231	C₁₉×#121	C₂³	1	2	yes	—
232	C₁₉×#121	C₂³	1	1	yes	characteristic
233	C₁₉×#121	C₂³	1	2	yes	—
234	C₁₉×#120	—	2	2	no	—
235	C₁₉×#120	—	2	2	no	—
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	C₄×Q₈×C₁₉	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₉	—	2	1	no	—
243	C₄×D₄×C₁₉	—	2	2	no	—
244	C₄×D₄×C₁₉	—	2	2	no	—
245	C₄×D₄×C₁₉	—	2	1	no	—
246	C₄×D₄×C₁₉	—	2	1	no	—
247	C₄×D₄×C₁₉	—	2	2	no	—
248	C₄×D₄×C₁₉	—	2	1	no	—
249	C₄×D₄×C₁₉	—	2	1	no	—
250	C₄×D₄×C₁₉	—	2	1	no	—
251	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
252	C₄×D₄×C₁₉	D₄	1	2	yes	—
253	C₄×D₄×C₁₉	D₄	1	1	yes	characteristic
254	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₉	C₂³	1	2	yes	—
258	C₄×D₄×C₁₉	C₂³	1	2	yes	—
259	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₉	C₂³	1	2	yes	—
261	C₄×D₄×C₁₉	C₂³	1	1	yes	characteristic
262	C₁₉×#117	—	2	1	no	—
263	C₁₉×#117	—	2	1	no	—
264	C₁₉×#117	C₂³	1	2	yes	—
265	C₂×C₄⋊C₄×C₁₉	D₄	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
267	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
268	C₂×C₄⋊C₄×C₁₉	C₂³	1	2	yes	—
269	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
270	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
271	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
272	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
273	C₂×C₂²⋊C₄×C₁₉	D₄	1	2	yes	—
274	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
275	C₁₉×#107	C₂³	1	1	yes	characteristic
276	C₁₉×#107	C₂³	1	2	yes	—
277	C₁₉×#107	C₂³	1	1	yes	characteristic
278	C₁₉×#106	C₂³	1	1	yes	characteristic
279	C₁₉×#106	C₂³	1	2	yes	—
280	C₁₉×#106	C₂³	1	2	yes	—
281	C₁₉×#106	C₂³	1	2	yes	—
282	C₁₉×#106	C₂³	1	2	yes	—
283	C₁₉×#106	C₂³	1	1	yes	characteristic
284	C₁₉×#106	C₂³	1	2	yes	—
285	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₉×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
288	C₁₉×#103	C₂³	1	1	yes	characteristic
289	C₁₉×#103	C₂³	1	2	yes	—
290	C₁₉×#103	C₂³	1	1	yes	characteristic
291	C₁₉×#102	C₂³	1	1	yes	characteristic
292	C₁₉×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
297	C₁₉×#102	C₂³	1	2	yes	—
298	C₁₉×#102	C₂³	1	2	yes	—
299	C₁₉×#102	C₂³	1	2	yes	—
300	C₁₉×#102	C₂³	1	1	yes	characteristic
301	C₁₉×#102	C₂³	1	2	yes	—
302	C₁₉×#102	C₂³	1	2	yes	—
303	C₁₉×#102	C₂³	1	1	yes	characteristic
304	C₁₉×#102	C₂³	1	1	yes	characteristic
305	C₁₉×#102	C₂³	1	1	yes	characteristic
306	C₁₉×#102	C₂³	1	2	yes	—
307	C₁₉×#102	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×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₉×#97	C₂³	1	1	yes	characteristic
313	C₁₉×#97	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
315	C₄×C₈×C₁₉	C₂³	1	1	yes	characteristic
316	C₂⁴×C₁₉	—	2	2	no	—
317	C₂⁴×C₁₉	—	2	2	no	—
318	C₂⁴×C₁₉	—	2	2	no	—
319	C₂⁴×C₁₉	C₂×D₄	1	2	yes	—
320	#41×C₁₉	—	4	4	no	—
321	#41×C₁₉	—	4	4	no	—
322	#41×C₁₉	—	4	2	no	—
323	#41×C₁₉	—	4	2	no	—
324	#41×C₁₉	—	4	8	no	—
325	#41×C₁₉	—	4	4	no	—
326	#41×C₁₉	—	4	4	no	—
327	#41×C₁₉	—	8	2	no	—
328	C₂×Q₈×C₁₉	—	2	1	no	—
329	C₂×Q₈×C₁₉	—	2	1	no	—
330	C₂×Q₈×C₁₉	—	2	1	no	—
331	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₉	—	2	4	no	—
333	C₂×D₄×C₁₉	—	2	2	no	—
334	C₂×D₄×C₁₉	—	2	2	no	—
335	C₂×D₄×C₁₉	—	2	1	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	2	no	—
340	C₂×D₄×C₁₉	—	2	1	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	2	no	—
345	C₂×D₄×C₁₉	—	2	2	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	1	no	—
351	C₂×D₄×C₁₉	—	2	2	no	—
352	C₂×D₄×C₁₉	—	2	2	no	—
353	C₂×D₄×C₁₉	—	2	1	no	—
354	C₂×D₄×C₁₉	—	2	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	—	4	2	no	—
360	C₂×D₄×C₁₉	—	4	2	no	—
361	C₂×D₄×C₁₉	—	4	8	no	—
362	C₂×D₄×C₁₉	—	4	4	no	—
363	C₂×D₄×C₁₉	—	4	8	no	—
364	C₂×D₄×C₁₉	—	4	8	no	—
365	C₂×D₄×C₁₉	—	4	4	no	—
366	C₂×D₄×C₁₉	—	4	4	no	—
367	C₂×D₄×C₁₉	—	8	4	no	—
368	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
369	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
370	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
375	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₉	—	2	2	no	—
377	C₂²×C₄×C₁₉	—	2	2	no	—
378	C₂²×C₄×C₁₉	—	2	2	no	—
379	C₂²×C₄×C₁₉	—	2	1	no	—
380	C₂²×C₄×C₁₉	—	2	2	no	—
381	C₂²×C₄×C₁₉	—	2	1	no	—
382	C₂²×C₄×C₁₉	—	2	1	no	—
383	C₂²×C₄×C₁₉	—	2	2	no	—
384	C₂²×C₄×C₁₉	—	2	2	no	—
385	C₂²×C₄×C₁₉	—	4	2	no	—
386	C₂²×C₄×C₁₉	—	4	2	no	—
387	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
390	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
391	C₂²×C₄×C₁₉	C₂×D₄	1	2	yes	—
392	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
395	SD₁₆×C₁₉	—	2	2	no	—
396	SD₁₆×C₁₉	—	4	1	no	—
397	SD₁₆×C₁₉	—	4	2	no	—
398	D₈×C₁₉	—	2	2	no	—
399	D₈×C₁₉	—	2	4	no	—
400	D₈×C₁₉	—	4	2	no	—
401	D₈×C₁₉	—	4	2	no	—
402	D₈×C₁₉	—	4	2	no	—
403	D₈×C₁₉	—	4	1	no	—
404	D₈×C₁₉	—	4	2	no	—
405	M₁₆×C₁₉	—	2	2	no	—
406	M₁₆×C₁₉	—	2	4	no	—
407	M₁₆×C₁₉	—	4	2	no	—
408	M₁₆×C₁₉	—	4	2	no	—
409	M₁₆×C₁₉	—	4	1	no	—
410	C₂×C₈×C₁₉	—	2	4	no	—
411	C₂×C₈×C₁₉	—	4	2	no	—
412	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
413	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
414	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
415	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
416	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
417	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
418	C₄⋊C₄×C₁₉	—	2	2	no	—
419	C₄⋊C₄×C₁₉	—	2	2	no	—
420	C₄⋊C₄×C₁₉	—	2	2	no	—
421	C₄⋊C₄×C₁₉	—	2	1	no	—
422	C₄⋊C₄×C₁₉	—	2	1	no	—
423	C₄⋊C₄×C₁₉	—	2	1	no	—
424	C₄⋊C₄×C₁₉	—	2	1	no	—
425	C₄⋊C₄×C₁₉	—	2	2	no	—
426	C₄⋊C₄×C₁₉	—	2	1	no	—
427	C₄⋊C₄×C₁₉	—	2	1	no	—
428	C₄⋊C₄×C₁₉	—	2	1	no	—
429	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
430	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
431	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
432	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
433	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
434	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
435	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
436	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
437	C₄⋊C₄×C₁₉	C₂⁴	1	1	yes	characteristic
438	C₂²⋊C₄×C₁₉	—	2	2	no	—
439	C₂²⋊C₄×C₁₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₉	—	2	1	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	1	no	—
445	C₂²⋊C₄×C₁₉	—	2	2	no	—
446	C₂²⋊C₄×C₁₉	—	2	1	no	—
447	C₂²⋊C₄×C₁₉	—	2	2	no	—
448	C₂²⋊C₄×C₁₉	—	2	2	no	—
449	C₂²⋊C₄×C₁₉	—	2	2	no	—
450	C₂²⋊C₄×C₁₉	—	2	2	no	—
451	C₂²⋊C₄×C₁₉	—	2	2	no	—
452	C₂²⋊C₄×C₁₉	—	2	2	no	—
453	C₂²⋊C₄×C₁₉	—	2	1	no	—
454	C₂²⋊C₄×C₁₉	—	2	2	no	—
455	C₂²⋊C₄×C₁₉	—	2	2	no	—
456	C₂²⋊C₄×C₁₉	—	2	1	no	—
457	C₂²⋊C₄×C₁₉	—	2	1	no	—
458	C₂²⋊C₄×C₁₉	—	2	1	no	—
459	C₂²⋊C₄×C₁₉	—	2	2	no	—
460	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
461	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
462	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
463	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
464	C₄²×C₁₉	—	2	2	no	—
465	C₄²×C₁₉	—	2	1	no	—
466	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
467	C₄²×C₁₉	C₂×D₄	1	1	yes	characteristic
468	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
469	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
470	#62299	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
471	C₂³×C₁₉	—	2	4	no	—
472	C₂³×C₁₉	—	2	1	no	—
473	C₂³×C₁₉	—	2	2	no	—
474	C₂³×C₁₉	—	2	1	no	—
475	C₂³×C₁₉	—	2	2	no	—
476	C₂³×C₁₉	—	2	1	no	—
477	C₂³×C₁₉	—	4	2	no	—
478	C₂³×C₁₉	—	4	2	no	—
479	C₂³×C₁₉	—	4	4	no	—
480	C₂³×C₁₉	—	4	4	no	—
481	C₂³×C₁₉	—	4	4	no	—
482	C₂³×C₁₉	—	8	2	no	—
483	C₂³×C₁₉	—	8	2	no	—
484	C₂³×C₁₉	—	8	2	no	—
485	C₂³×C₁₉	—	8	2	no	—
486	C₂³×C₁₉	—	8	2	no	—
487	C₂³×C₁₉	—	8	2	no	—
488	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
489	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
490	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
491	Q₈×C₁₉	—	2	1	no	—
492	Q₈×C₁₉	—	2	1	no	—
493	Q₈×C₁₉	—	4	2	no	—
494	Q₈×C₁₉	—	4	2	no	—
495	Q₈×C₁₉	—	8	1	no	—
496	D₄×C₁₉	—	2	4	no	—
497	D₄×C₁₉	—	2	2	no	—
498	D₄×C₁₉	—	2	1	no	—
499	D₄×C₁₉	—	2	1	no	—
500	D₄×C₁₉	—	2	2	no	—
501	D₄×C₁₉	—	2	2	no	—
502	D₄×C₁₉	—	2	1	no	—
503	D₄×C₁₉	—	2	1	no	—
504	D₄×C₁₉	—	2	2	no	—
505	D₄×C₁₉	—	2	1	no	—
506	D₄×C₁₉	—	2	2	no	—
507	D₄×C₁₉	—	2	1	no	—
508	D₄×C₁₉	—	4	2	no	—
509	D₄×C₁₉	—	4	4	no	—
510	D₄×C₁₉	—	4	2	no	—
511	D₄×C₁₉	—	4	2	no	—
512	D₄×C₁₉	—	4	4	no	—
513	D₄×C₁₉	—	4	4	no	—
514	D₄×C₁₉	—	4	2	no	—
515	D₄×C₁₉	—	4	4	no	—
516	D₄×C₁₉	—	4	4	no	—
517	D₄×C₁₉	—	4	4	no	—
518	D₄×C₁₉	—	4	4	no	—
519	D₄×C₁₉	—	4	2	no	—
520	D₄×C₁₉	—	4	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	D₄×C₁₉	—	8	2	no	—
526	D₄×C₁₉	—	8	1	no	—
527	D₄×C₁₉	—	8	2	no	—
528	D₄×C₁₉	—	8	2	no	—
529	D₄×C₁₉	—	8	2	no	—
530	D₄×C₁₉	AGL(1,ℤ/8)	1	4	yes	complemented
531	C₂×C₄×C₁₉	—	2	2	no	—
532	C₂×C₄×C₁₉	—	2	2	no	—
533	C₂×C₄×C₁₉	—	2	1	no	—
534	C₂×C₄×C₁₉	—	2	2	no	—
535	C₂×C₄×C₁₉	—	2	1	no	—
536	C₂×C₄×C₁₉	—	2	2	no	—
537	C₂×C₄×C₁₉	—	2	2	no	—
538	C₂×C₄×C₁₉	—	2	1	no	—
539	C₂×C₄×C₁₉	—	2	1	no	—
540	C₂×C₄×C₁₉	—	2	2	no	—
541	C₂×C₄×C₁₉	—	2	1	no	—
542	C₂×C₄×C₁₉	—	2	2	no	—
543	C₂×C₄×C₁₉	—	2	1	no	—
544	C₂×C₄×C₁₉	—	2	1	no	—
545	C₂×C₄×C₁₉	—	4	2	no	—
546	C₂×C₄×C₁₉	—	4	2	no	—
547	C₂×C₄×C₁₉	—	4	2	no	—
548	C₂×C₄×C₁₉	—	4	1	no	—
549	C₂×C₄×C₁₉	—	4	4	no	—
550	C₂×C₄×C₁₉	—	4	4	no	—
551	C₂×C₄×C₁₉	—	4	4	no	—
552	C₂×C₄×C₁₉	—	4	2	no	—
553	C₂×C₄×C₁₉	—	4	2	no	—
554	C₂×C₄×C₁₉	—	4	2	no	—
555	C₂×C₄×C₁₉	—	8	2	no	—
556	C₂×C₄×C₁₉	—	8	2	no	—
557	C₂×C₄×C₁₉	—	8	2	no	—
558	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
559	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
560	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
561	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
564	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
566	C₈×C₁₉	—	2	2	no	—
567	C₈×C₁₉	—	2	1	no	—
568	C₈×C₁₉	—	2	2	no	—
569	C₈×C₁₉	—	2	1	no	—
570	C₈×C₁₉	—	2	1	no	—
571	C₈×C₁₉	H(5,𝔽₂)	1	2	yes	complemented
572	#3519	C₂×C₁₉	1	1	yes	characteristic, complemented
573	#3496	C₂×C₁₉	1	1	yes	characteristic, complemented
574	#3354	C₂×C₁₉	1	1	yes	characteristic, complemented
575	#3345	C₂×C₁₉	1	2	yes	complemented
576	#3335	C₂×C₁₉	1	1	yes	characteristic, complemented
577	#3332	C₂×C₁₉	1	1	yes	characteristic, complemented
578	#3325	C₂×C₁₉	1	1	yes	characteristic, complemented
579	#3318	C₂×C₁₉	1	2	yes	complemented
580	#3306	C₂×C₁₉	1	2	yes	complemented
581	#3295	C₂×C₁₉	1	1	yes	characteristic, complemented
582	#3294	C₂×C₁₉	1	1	yes	characteristic, complemented
583	D₄×D₈	C₂×C₁₉	1	1	yes	characteristic, complemented
584	#3274	C₂×C₁₉	1	1	yes	characteristic, complemented
585	#3264	C₂×C₁₉	1	2	yes	complemented
586	#3253	C₂×C₁₉	1	1	yes	characteristic, complemented
587	#3251	C₂×C₁₉	1	1	yes	characteristic, complemented
588	#3194	C₂×C₁₉	1	2	yes	complemented
589	#3192	C₂×C₁₉	1	2	yes	complemented
590	#3184	C₂×C₁₉	1	1	yes	characteristic, complemented
591	#3171	C₂×C₁₉	1	1	yes	characteristic, complemented
592	#3055	C₂×C₁₉	1	2	yes	complemented
593	C₂×#469	C₂×C₁₉	1	2	yes	complemented
594	D₄×M₁₆	C₂×C₁₉	1	1	yes	characteristic, complemented
595	C₂²×C₁₉	—	2	2	no	—
596	C₂²×C₁₉	—	2	2	no	—
597	C₂²×C₁₉	—	2	1	no	—
598	C₂²×C₁₉	—	2	2	no	—
599	C₂²×C₁₉	—	2	1	no	—
600	C₂²×C₁₉	—	2	2	no	—
601	C₂²×C₁₉	—	2	1	no	—
602	C₂²×C₁₉	—	2	2	no	—
603	C₂²×C₁₉	—	4	2	no	—
604	C₂²×C₁₉	—	4	1	no	—
605	C₂²×C₁₉	—	4	1	no	—
606	C₂²×C₁₉	—	4	2	no	—
607	C₂²×C₁₉	—	4	1	no	—
608	C₂²×C₁₉	—	4	2	no	—
609	C₂²×C₁₉	—	4	1	no	—
610	C₂²×C₁₉	—	4	1	no	—
611	C₂²×C₁₉	—	4	2	no	—
612	C₂²×C₁₉	—	4	1	no	—
613	C₂²×C₁₉	—	4	2	no	—
614	C₂²×C₁₉	—	4	1	no	—
615	C₂²×C₁₉	—	4	1	no	—
616	C₂²×C₁₉	—	4	1	no	—
617	C₂²×C₁₉	—	4	2	no	—
618	C₂²×C₁₉	—	8	4	no	—
619	C₂²×C₁₉	—	16	4	no	—
620	C₂²×C₁₉	—	16	4	no	—
621	C₂²×C₁₉	—	16	4	no	—
622	C₂²×C₁₉	C₂×AGL(1,ℤ/8)	1	4	yes	—
623	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
624	C₄×C₁₉	—	2	1	no	—
625	C₄×C₁₉	—	2	1	no	—
626	C₄×C₁₉	—	2	1	no	—
627	C₄×C₁₉	—	2	2	no	—
628	C₄×C₁₉	—	2	2	no	—
629	C₄×C₁₉	—	2	1	no	—
630	C₄×C₁₉	—	4	1	no	—
631	C₄×C₁₉	—	4	2	no	—
632	C₄×C₁₉	—	4	1	no	—
633	C₄×C₁₉	—	4	2	no	—
634	C₄×C₁₉	—	4	1	no	—
635	C₄×C₁₉	—	4	1	no	—
636	C₄×C₁₉	—	4	1	no	—
637	C₄×C₁₉	C₂×AGL(1,ℤ/8)	1	2	yes	—
638	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
639	C₄×C₁₉	#585	1	1	yes	characteristic
640	C₂×H(5,𝔽₂)	—	2	1	no	—
641	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
642	C₂²×D₈	C₂²×C₁₉	1	2	yes	complemented
643	C₂²×M₁₆	C₂²×C₁₉	1	2	yes	complemented
644	#555	C₂²×C₁₉	1	1	yes	characteristic, complemented
645	#554	C₂²×C₁₉	1	1	yes	characteristic, complemented
646	#553	—	2	1	no	—
647	#553	C₂²×C₁₉	1	2	yes	complemented
648	#550	C₂²×C₁₉	1	1	yes	characteristic, complemented
649	#547	C₂²×C₁₉	1	1	yes	characteristic
650	#547	C₂²×C₁₉	1	1	yes	characteristic, complemented
651	#547	C₂²×C₁₉	1	2	yes	complemented
652	#546	—	2	1	no	—
653	#546	—	2	2	no	—
654	#546	—	2	1	no	—
655	#546	—	2	2	no	—
656	#546	C₂²×C₁₉	1	2	yes	complemented
657	D₄²	—	2	1	no	—
658	D₄²	C₂²×C₁₉	1	1	yes	characteristic
659	D₄²	C₂²×C₁₉	1	2	yes	complemented
660	D₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
661	D₄²	C₂²×C₁₉	1	1	yes	characteristic, complemented
662	#540	—	2	1	no	—
663	#538	—	2	2	no	—
664	#537	—	2	1	no	—
665	#534	—	2	2	no	—
666	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
667	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
668	#532	C₂²×C₁₉	1	1	yes	characteristic, complemented
669	#529	C₂²×C₁₉	1	1	yes	characteristic, complemented
670	#525	C₂²×C₁₉	1	2	yes	complemented
671	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
672	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
673	C₂×#121	C₂²×C₁₉	1	2	yes	complemented
674	#518	—	2	1	no	—
675	C₂×C₄×D₄	C₂²×C₁₉	1	1	yes	characteristic
676	#501	C₂²×C₁₉	1	1	yes	characteristic, complemented
677	#498	C₂²×C₁₉	1	1	yes	characteristic, complemented
678	#496	C₂²×C₁₉	1	1	yes	characteristic, complemented
679	#493	C₂²×C₁₉	1	1	yes	characteristic, complemented
680	#490	C₂²×C₁₉	1	1	yes	characteristic, complemented
681	#489	C₂²×C₁₉	1	1	yes	characteristic, complemented
682	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
683	#486	C₂²×C₁₉	1	1	yes	characteristic, complemented
684	#483	C₂²×C₁₉	1	2	yes	complemented
685	#482	C₂²×C₁₉	1	2	yes	complemented
686	#482	C₂²×C₁₉	1	2	yes	complemented
687	#481	C₂²×C₁₉	1	2	yes	complemented
688	#481	C₂²×C₁₉	1	2	yes	complemented
689	#481	C₂²×C₁₉	1	2	yes	complemented
690	#481	C₂²×C₁₉	1	2	yes	complemented
691	#480	C₂²×C₁₉	1	2	yes	complemented
692	#478	C₂²×C₁₉	1	2	yes	complemented
693	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
694	#476	C₂²×C₁₉	1	2	yes	complemented
695	#476	C₂²×C₁₉	1	1	yes	characteristic, complemented
696	#475	C₂²×C₁₉	1	1	yes	characteristic, complemented
697	#474	C₂²×C₁₉	1	1	yes	characteristic, complemented
698	#469	C₂²×C₁₉	1	2	yes	complemented
699	#469	C₂²×C₁₉	1	2	yes	complemented
700	#469	C₂²×C₁₉	1	2	yes	complemented
701	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
702	#469	C₂²×C₁₉	1	1	yes	characteristic, complemented
703	#469	C₂²×C₁₉	1	2	yes	complemented
704	#469	C₂²×C₁₉	1	2	yes	complemented
705	#469	C₂²×C₁₉	1	2	yes	complemented
706	#469	C₂²×C₁₉	1	2	yes	complemented
707	#469	C₂²×C₁₉	1	2	yes	complemented
708	#469	C₂²×C₁₉	1	2	yes	complemented
709	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
710	#468	C₂²×C₁₉	1	1	yes	characteristic, complemented
711	#468	C₂²×C₁₉	1	2	yes	complemented
712	#466	C₂²×C₁₉	1	2	yes	complemented
713	#466	C₂²×C₁₉	1	2	yes	complemented
714	#465	C₂²×C₁₉	1	2	yes	complemented
715	#465	C₂²×C₁₉	1	2	yes	complemented
716	#463	C₂²×C₁₉	1	2	yes	complemented
717	#460	C₂²×C₁₉	1	1	yes	characteristic, complemented
718	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
719	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
720	#459	C₂²×C₁₉	1	2	yes	complemented
721	#459	C₂²×C₁₉	1	1	yes	characteristic, complemented
722	#450	C₂²×C₁₉	1	2	yes	complemented
723	#449	C₂²×C₁₉	1	2	yes	complemented
724	#449	C₂²×C₁₉	1	2	yes	complemented
725	#447	C₂²×C₁₉	1	2	yes	complemented
726	#447	C₂²×C₁₉	1	2	yes	complemented
727	#447	C₂²×C₁₉	1	2	yes	complemented
728	#447	C₂²×C₁₉	1	2	yes	complemented
729	#447	C₂²×C₁₉	1	2	yes	complemented
730	#442	C₂²×C₁₉	1	2	yes	complemented
731	#442	C₂²×C₁₉	1	2	yes	complemented
732	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
733	C₄×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
734	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
735	C₄×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
736	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
737	#436	C₂²×C₁₉	1	1	yes	characteristic, complemented
738	#435	C₂²×C₁₉	1	2	yes	complemented
739	#435	C₂²×C₁₉	1	2	yes	complemented
740	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
741	C₈×D₄	C₂²×C₁₉	1	1	yes	characteristic, complemented
742	#428	C₂²×C₁₉	1	2	yes	complemented
743	C₂×#106	C₂²×C₁₉	1	2	yes	complemented
744	#423	C₂²×C₁₉	1	1	yes	characteristic, complemented
745	#418	C₂²×C₁₉	1	2	yes	complemented
746	#417	C₂²×C₁₉	1	2	yes	complemented
747	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
748	C₂×#102	C₂²×C₁₉	1	2	yes	complemented
749	#407	C₂²×C₁₉	1	2	yes	complemented
750	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
751	C₂×C₁₉	—	2	4	no	—
752	C₂×C₁₉	—	4	1	no	—
753	C₂×C₁₉	—	4	2	no	—
754	C₂×C₁₉	—	8	2	no	—
755	C₂×C₁₉	—	8	1	no	—
756	C₂×C₁₉	—	8	1	no	—
757	C₂×C₁₉	—	8	2	no	—
758	C₂×C₁₉	—	8	1	no	—
759	C₂×C₁₉	#3496	1	1	yes	characteristic
760	C₂×C₁₉	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
761	C₂×C₁₉	#3585	1	1	yes	characteristic
762	H(5,𝔽₂)	—	4	8	no	—
763	C₂×#41	—	2	1	no	—
764	C₂×#41	—	2	2	no	—
765	C₂×#41	—	2	1	no	—
766	C₂×#41	—	2	1	no	—
767	C₂×#41	—	2	1	no	—
768	C₂×#41	—	2	1	no	—
769	C₂×#41	C₂³×C₁₉	1	2	yes	—
770	C₂²×D₄	—	2	2	no	—
771	C₂²×D₄	—	2	2	no	—
772	C₂²×D₄	—	2	2	no	—
773	C₂²×D₄	—	2	1	no	—
774	C₂²×D₄	—	2	1	no	—
775	C₂²×D₄	—	2	2	no	—
776	C₂²×D₄	—	2	1	no	—
777	C₂²×D₄	D₄×C₁₉	1	1	yes	characteristic
778	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
779	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
780	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
781	C₂³×C₄	C₂³×C₁₉	1	2	yes	—
782	AGL(1,ℤ/8)	—	4	4	no	—
783	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
784	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
785	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
786	C₂×D₈	—	4	4	no	—
787	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
788	C₂×D₈	C₂³×C₁₉	1	2	yes	—
789	C₂×D₈	C₂³×C₁₉	1	2	yes	—
790	C₂×D₈	C₂³×C₁₉	1	2	yes	—
791	C₂×D₈	C₂³×C₁₉	1	2	yes	—
792	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
793	C₂×D₈	C₂³×C₁₉	1	2	yes	—
794	C₂×M₁₆	—	4	4	no	—
795	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
796	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
797	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
798	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
799	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
800	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
801	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
802	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
803	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
804	C₄⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
805	#127	—	2	1	no	—
806	#127	C₂³×C₁₉	1	1	yes	characteristic
807	#127	C₂³×C₁₉	1	1	yes	characteristic
808	#127	C₂³×C₁₉	1	1	yes	characteristic
809	#126	—	2	2	no	—
810	#126	—	2	1	no	—
811	#125	—	2	1	no	—
812	#125	C₂³×C₁₉	1	1	yes	characteristic
813	#124	—	2	2	no	—
814	#124	—	2	1	no	—
815	#124	—	2	1	no	—
816	#124	—	2	1	no	—
817	#124	C₂³×C₁₉	1	1	yes	characteristic
818	#123	—	2	2	no	—
819	#123	—	2	1	no	—
820	#123	—	2	2	no	—
821	#123	—	2	2	no	—
822	#123	—	2	2	no	—
823	#123	—	2	2	no	—
824	#123	—	2	2	no	—
825	#123	—	2	2	no	—
826	C₂²⋊Q₈	—	2	1	no	—
827	C₂²⋊Q₈	—	2	1	no	—
828	C₂²⋊Q₈	—	2	2	no	—
829	C₂²⋊Q₈	—	2	2	no	—
830	C₂²⋊Q₈	C₂³×C₁₉	1	1	yes	characteristic
831	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
832	#121	—	2	2	no	—
833	#121	—	2	1	no	—
834	#121	—	2	2	no	—
835	#121	—	2	2	no	—
836	#121	—	2	2	no	—
837	#121	—	2	2	no	—
838	#121	—	2	2	no	—
839	#121	—	2	2	no	—
840	#121	—	2	1	no	—
841	#121	—	2	1	no	—
842	#121	—	2	1	no	—
843	#121	—	2	1	no	—
844	#121	—	2	1	no	—
845	#121	—	2	2	no	—
846	#121	—	2	1	no	—
847	#121	—	2	2	no	—
848	#121	—	2	2	no	—
849	#121	C₂³×C₁₉	1	1	yes	characteristic
850	#121	C₂³×C₁₉	1	1	yes	characteristic
851	#121	C₂³×C₁₉	1	2	yes	—
852	#121	C₂³×C₁₉	1	1	yes	characteristic
853	#121	C₂³×C₁₉	1	2	yes	—
854	#121	C₂³×C₁₉	1	2	yes	—
855	#121	C₂³×C₁₉	1	2	yes	—
856	#121	C₂³×C₁₉	1	2	yes	—
857	#121	C₂³×C₁₉	1	2	yes	—
858	#121	C₂³×C₁₉	1	2	yes	—
859	#121	C₂³×C₁₉	1	2	yes	—
860	#121	C₂³×C₁₉	1	2	yes	—
861	#120	—	2	2	no	—
862	#120	—	2	2	no	—
863	#120	—	2	2	no	—
864	#120	—	2	2	no	—
865	#120	—	2	2	no	—
866	#120	—	2	2	no	—
867	#120	—	2	2	no	—
868	C₄×Q₈	C₂³×C₁₉	1	1	yes	characteristic
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	2	no	—
871	C₄×D₄	—	2	2	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	2	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
879	C₄×D₄	D₄×C₁₉	1	2	yes	—
880	C₄×D₄	D₄×C₁₉	1	1	yes	characteristic
881	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
882	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
883	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
884	C₄×D₄	C₂³×C₁₉	1	2	yes	—
885	C₄×D₄	C₂³×C₁₉	1	2	yes	—
886	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
887	C₄×D₄	C₂³×C₁₉	1	2	yes	—
888	C₄×D₄	C₂³×C₁₉	1	1	yes	characteristic
889	#117	—	2	1	no	—
890	#117	—	2	1	no	—
891	#117	C₂³×C₁₉	1	2	yes	—
892	C₂×C₄⋊C₄	D₄×C₁₉	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
894	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
895	C₂×C₄⋊C₄	C₂³×C₁₉	1	2	yes	—
896	C₂×C₂²⋊C₄	—	2	2	no	—
897	C₂×C₂²⋊C₄	—	2	2	no	—
898	C₂×C₂²⋊C₄	—	2	2	no	—
899	C₂×C₂²⋊C₄	—	2	2	no	—
900	C₂×C₂²⋊C₄	D₄×C₁₉	1	2	yes	—
901	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
902	#107	C₂³×C₁₉	1	1	yes	characteristic
903	#107	C₂³×C₁₉	1	2	yes	—
904	#107	C₂³×C₁₉	1	1	yes	characteristic
905	#106	C₂³×C₁₉	1	1	yes	characteristic
906	#106	C₂³×C₁₉	1	2	yes	—
907	#106	C₂³×C₁₉	1	2	yes	—
908	#106	C₂³×C₁₉	1	2	yes	—
909	#106	C₂³×C₁₉	1	2	yes	—
910	#106	C₂³×C₁₉	1	1	yes	characteristic
911	#106	C₂³×C₁₉	1	2	yes	—
912	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
913	C₄⋊C₈	C₂³×C₁₉	1	1	yes	characteristic
914	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
915	#103	C₂³×C₁₉	1	1	yes	characteristic
916	#103	C₂³×C₁₉	1	2	yes	—
917	#103	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	#102	C₂³×C₁₉	1	2	yes	—
923	#102	C₂³×C₁₉	1	2	yes	—
924	#102	C₂³×C₁₉	1	2	yes	—
925	#102	C₂³×C₁₉	1	2	yes	—
926	#102	C₂³×C₁₉	1	2	yes	—
927	#102	C₂³×C₁₉	1	1	yes	characteristic
928	#102	C₂³×C₁₉	1	2	yes	—
929	#102	C₂³×C₁₉	1	2	yes	—
930	#102	C₂³×C₁₉	1	1	yes	characteristic
931	#102	C₂³×C₁₉	1	1	yes	characteristic
932	#102	C₂³×C₁₉	1	1	yes	characteristic
933	#102	C₂³×C₁₉	1	2	yes	—
934	#102	C₂³×C₁₉	1	2	yes	—
935	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
936	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
937	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
938	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
939	#97	C₂³×C₁₉	1	1	yes	characteristic
940	#97	C₂³×C₁₉	1	1	yes	characteristic
941	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
942	C₄×C₈	C₂³×C₁₉	1	1	yes	characteristic
943	C₁₉	#62299	1	1	yes	characteristic, direct product factor, Sylow
944	C₂⁴	—	2	2	no	—
945	C₂⁴	—	2	2	no	—
946	C₂⁴	—	2	2	no	—
947	C₂⁴	C₂×D₄×C₁₉	1	2	yes	—
948	#41	—	4	4	no	—
949	#41	—	4	4	no	—
950	#41	—	4	2	no	—
951	#41	—	4	2	no	—
952	#41	—	4	8	no	—
953	#41	—	4	4	no	—
954	#41	—	4	4	no	—
955	#41	—	8	2	no	—
956	C₂×Q₈	—	2	1	no	—
957	C₂×Q₈	—	2	1	no	—
958	C₂×Q₈	—	2	1	no	—
959	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
960	C₂×D₄	—	2	4	no	—
961	C₂×D₄	—	2	2	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	1	no	—
964	C₂×D₄	—	2	2	no	—
965	C₂×D₄	—	2	2	no	—
966	C₂×D₄	—	2	2	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	1	no	—
969	C₂×D₄	—	2	2	no	—
970	C₂×D₄	—	2	1	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	2	2	no	—
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	1	no	—
975	C₂×D₄	—	2	1	no	—
976	C₂×D₄	—	2	1	no	—
977	C₂×D₄	—	2	1	no	—
978	C₂×D₄	—	2	1	no	—
979	C₂×D₄	—	2	2	no	—
980	C₂×D₄	—	2	2	no	—
981	C₂×D₄	—	2	1	no	—
982	C₂×D₄	—	2	2	no	—
983	C₂×D₄	—	4	2	no	—
984	C₂×D₄	—	4	2	no	—
985	C₂×D₄	—	4	2	no	—
986	C₂×D₄	—	4	2	no	—
987	C₂×D₄	—	4	2	no	—
988	C₂×D₄	—	4	2	no	—
989	C₂×D₄	—	4	8	no	—
990	C₂×D₄	—	4	4	no	—
991	C₂×D₄	—	4	8	no	—
992	C₂×D₄	—	4	8	no	—
993	C₂×D₄	—	4	4	no	—
994	C₂×D₄	—	4	4	no	—
995	C₂×D₄	—	8	4	no	—
996	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
997	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
998	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
999	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1000	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1001	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1002	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1003	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	2	2	no	—
1006	C₂²×C₄	—	2	2	no	—
1007	C₂²×C₄	—	2	1	no	—
1008	C₂²×C₄	—	2	2	no	—
1009	C₂²×C₄	—	2	1	no	—
1010	C₂²×C₄	—	2	1	no	—
1011	C₂²×C₄	—	2	2	no	—
1012	C₂²×C₄	—	2	2	no	—
1013	C₂²×C₄	—	4	2	no	—
1014	C₂²×C₄	—	4	2	no	—
1015	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1016	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1017	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
1018	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
1019	C₂²×C₄	C₂×D₄×C₁₉	1	2	yes	—
1020	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1021	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1022	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1023	SD₁₆	—	2	2	no	—
1024	SD₁₆	—	4	1	no	—
1025	SD₁₆	—	4	2	no	—
1026	D₈	—	2	2	no	—
1027	D₈	—	2	4	no	—
1028	D₈	—	4	2	no	—
1029	D₈	—	4	2	no	—
1030	D₈	—	4	2	no	—
1031	D₈	—	4	1	no	—
1032	D₈	—	4	2	no	—
1033	M₁₆	—	2	2	no	—
1034	M₁₆	—	2	4	no	—
1035	M₁₆	—	4	2	no	—
1036	M₁₆	—	4	2	no	—
1037	M₁₆	—	4	1	no	—
1038	C₂×C₈	—	2	4	no	—
1039	C₂×C₈	—	4	2	no	—
1040	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1041	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1042	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1043	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1044	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1045	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1058	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1059	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1060	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1061	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1062	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1063	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1064	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1065	C₄⋊C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	1	no	—
1069	C₂²⋊C₄	—	2	1	no	—
1070	C₂²⋊C₄	—	2	1	no	—
1071	C₂²⋊C₄	—	2	2	no	—
1072	C₂²⋊C₄	—	2	1	no	—
1073	C₂²⋊C₄	—	2	2	no	—
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	2	no	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	2	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	2	no	—
1080	C₂²⋊C₄	—	2	2	no	—
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	1	no	—
1085	C₂²⋊C₄	—	2	1	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1089	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1090	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1091	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1092	C₄²	—	2	2	no	—
1093	C₄²	—	2	1	no	—
1094	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1095	C₄²	C₂×D₄×C₁₉	1	1	yes	characteristic
1096	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1097	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
1098	C₂³	—	2	4	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	2	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	2	no	—
1103	C₂³	—	2	1	no	—
1104	C₂³	—	4	2	no	—
1105	C₂³	—	4	2	no	—
1106	C₂³	—	4	4	no	—
1107	C₂³	—	4	4	no	—
1108	C₂³	—	4	4	no	—
1109	C₂³	—	8	2	no	—
1110	C₂³	—	8	2	no	—
1111	C₂³	—	8	2	no	—
1112	C₂³	—	8	2	no	—
1113	C₂³	—	8	2	no	—
1114	C₂³	—	8	2	no	—
1115	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1116	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1117	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1118	Q₈	—	2	1	no	—
1119	Q₈	—	2	1	no	—
1120	Q₈	—	4	2	no	—
1121	Q₈	—	4	2	no	—
1122	Q₈	—	8	1	no	—
1123	D₄	—	2	4	no	—
1124	D₄	—	2	2	no	—
1125	D₄	—	2	1	no	—
1126	D₄	—	2	1	no	—
1127	D₄	—	2	2	no	—
1128	D₄	—	2	2	no	—
1129	D₄	—	2	1	no	—
1130	D₄	—	2	1	no	—
1131	D₄	—	2	2	no	—
1132	D₄	—	2	1	no	—
1133	D₄	—	2	2	no	—
1134	D₄	—	2	1	no	—
1135	D₄	—	4	2	no	—
1136	D₄	—	4	4	no	—
1137	D₄	—	4	2	no	—
1138	D₄	—	4	2	no	—
1139	D₄	—	4	4	no	—
1140	D₄	—	4	4	no	—
1141	D₄	—	4	2	no	—
1142	D₄	—	4	4	no	—
1143	D₄	—	4	4	no	—
1144	D₄	—	4	4	no	—
1145	D₄	—	4	4	no	—
1146	D₄	—	4	2	no	—
1147	D₄	—	4	2	no	—
1148	D₄	—	8	2	no	—
1149	D₄	—	8	2	no	—
1150	D₄	—	8	2	no	—
1151	D₄	—	8	1	no	—
1152	D₄	—	8	1	no	—
1153	D₄	—	8	1	no	—
1154	D₄	—	8	2	no	—
1155	D₄	—	8	2	no	—
1156	D₄	—	8	2	no	—
1157	D₄	C₁₉×AGL(1,ℤ/8)	1	4	yes	complemented
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	2	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	4	2	no	—
1173	C₂×C₄	—	4	2	no	—
1174	C₂×C₄	—	4	2	no	—
1175	C₂×C₄	—	4	1	no	—
1176	C₂×C₄	—	4	4	no	—
1177	C₂×C₄	—	4	4	no	—
1178	C₂×C₄	—	4	4	no	—
1179	C₂×C₄	—	4	2	no	—
1180	C₂×C₄	—	4	2	no	—
1181	C₂×C₄	—	4	2	no	—
1182	C₂×C₄	—	8	2	no	—
1183	C₂×C₄	—	8	2	no	—
1184	C₂×C₄	—	8	2	no	—
1185	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1186	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1187	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1188	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1189	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1190	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1191	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1192	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1193	C₈	—	2	2	no	—
1194	C₈	—	2	1	no	—
1195	C₈	—	2	2	no	—
1196	C₈	—	2	1	no	—
1197	C₈	—	2	1	no	—
1198	C₈	C₁₉×H(5,𝔽₂)	1	2	yes	complemented
1199	C₂²	—	2	2	no	—
1200	C₂²	—	2	2	no	—
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	2	no	—
1203	C₂²	—	2	1	no	—
1204	C₂²	—	2	2	no	—
1205	C₂²	—	2	1	no	—
1206	C₂²	—	2	2	no	—
1207	C₂²	—	4	2	no	—
1208	C₂²	—	4	1	no	—
1209	C₂²	—	4	1	no	—
1210	C₂²	—	4	2	no	—
1211	C₂²	—	4	1	no	—
1212	C₂²	—	4	2	no	—
1213	C₂²	—	4	1	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	4	1	no	—
1216	C₂²	—	4	2	no	—
1217	C₂²	—	4	2	no	—
1218	C₂²	—	4	1	no	—
1219	C₂²	—	4	1	no	—
1220	C₂²	—	4	2	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	8	4	no	—
1223	C₂²	—	16	4	no	—
1224	C₂²	—	16	4	no	—
1225	C₂²	—	16	4	no	—
1226	C₂²	C₂×C₁₉×AGL(1,ℤ/8)	1	4	yes	—
1227	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1228	C₄	—	2	1	no	—
1229	C₄	—	2	2	no	—
1230	C₄	—	2	2	no	—
1231	C₄	—	2	1	no	—
1232	C₄	—	2	1	no	—
1233	C₄	—	2	1	no	—
1234	C₄	—	4	1	no	—
1235	C₄	—	4	2	no	—
1236	C₄	—	4	1	no	—
1237	C₄	—	4	1	no	—
1238	C₄	—	4	1	no	—
1239	C₄	—	4	1	no	—
1240	C₄	—	4	2	no	—
1241	C₄	C₂×C₁₉×AGL(1,ℤ/8)	1	2	yes	—
1242	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1243	C₄	C₁₉×#585	1	1	yes	characteristic
1244	C₂	—	2	4	no	—
1245	C₂	—	4	1	no	—
1246	C₂	—	4	2	no	—
1247	C₂	—	8	1	no	—
1248	C₂	—	8	2	no	—
1249	C₂	—	8	1	no	—
1250	C₂	—	8	1	no	—
1251	C₂	—	8	2	no	—
1252	C₂	C₁₉×#3496	1	1	yes	characteristic
1253	C₂	C₂²×C₁₉×AGL(1,ℤ/8)	1	1	yes	characteristic
1254	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 ◁ C₂×C₄×D₄×C₁₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₉×#3519	C₂	semidirect
2. C₁₉×#3496	C₂	semidirect
3. C₁₉×#3354	C₂	semidirect
4. C₁₉×#3345	C₂	semidirect
5. C₁₉×#3335	C₂	semidirect
6. C₁₉×#3332	C₂	semidirect
7. C₁₉×#3325	C₂	semidirect
8. C₁₉×#3318	C₂	semidirect
9. C₁₉×#3306	C₂	semidirect
10. C₁₉×#3295	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×#3253	C₂	semidirect
16. C₁₉×#3251	C₂	semidirect
17. C₁₉×#3194	C₂	semidirect
18. C₁₉×#3192	C₂	semidirect
19. C₁₉×#3184	C₂	semidirect
20. C₁₉×#3171	C₂	semidirect
21. C₁₉×#3055	C₂	semidirect
22. C₂×C₁₉×#469	C₂	semidirect
23. D₄×M₁₆×C₁₉	C₂	semidirect
25. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
26. C₂²×D₈×C₁₉	C₂²	semidirect
27. C₂²×M₁₆×C₁₉	C₂²	semidirect
28. C₁₉×#555	C₂²	semidirect
29. C₁₉×#554	C₂²	semidirect
31. C₁₉×#553	C₂²	semidirect
32. C₁₉×#550	C₂²	semidirect
34. C₁₉×#547	C₂²	semidirect
35. C₁₉×#547	C₂²	semidirect
40. C₁₉×#546	C₂²	semidirect
43. D₄²×C₁₉	C₂²	semidirect
44. D₄²×C₁₉	C₂²	semidirect
45. D₄²×C₁₉	C₂²	semidirect
50. C₁₉×#532	C₂²	semidirect
51. C₁₉×#532	C₂²	semidirect
52. C₁₉×#532	C₂²	semidirect
53. C₁₉×#529	C₂²	semidirect
54. C₁₉×#525	C₂²	semidirect
55. C₂×C₁₉×#121	C₂²	semidirect
56. C₂×C₁₉×#121	C₂²	semidirect
57. C₂×C₁₉×#121	C₂²	semidirect
60. C₁₉×#501	C₂²	semidirect
61. C₁₉×#498	C₂²	semidirect
62. C₁₉×#496	C₂²	semidirect
63. C₁₉×#493	C₂²	semidirect
64. C₁₉×#490	C₂²	semidirect
65. C₁₉×#489	C₂²	semidirect
66. C₁₉×#486	C₂²	semidirect
67. C₁₉×#486	C₂²	semidirect
68. C₁₉×#483	C₂²	semidirect
69. C₁₉×#482	C₂²	semidirect
70. C₁₉×#482	C₂²	semidirect
71. C₁₉×#481	C₂²	semidirect
72. C₁₉×#481	C₂²	semidirect
73. C₁₉×#481	C₂²	semidirect
74. C₁₉×#481	C₂²	semidirect
75. C₁₉×#480	C₂²	semidirect
76. C₁₉×#478	C₂²	semidirect
77. C₁₉×#476	C₂²	semidirect
78. C₁₉×#476	C₂²	semidirect
79. C₁₉×#476	C₂²	semidirect
80. C₁₉×#475	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×#469	C₂²	semidirect
90. C₁₉×#469	C₂²	semidirect
91. C₁₉×#469	C₂²	semidirect
92. C₁₉×#469	C₂²	semidirect
93. C₁₉×#468	C₂²	semidirect
94. C₁₉×#468	C₂²	semidirect
95. C₁₉×#468	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
102. C₁₉×#459	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. C₂×C₁₉×#106	C₂²	semidirect
128. C₁₉×#423	C₂²	semidirect
129. C₁₉×#418	C₂²	semidirect
130. C₁₉×#417	C₂²	semidirect
131. C₂×C₁₉×#102	C₂²	semidirect
132. C₂×C₁₉×#102	C₂²	semidirect
133. C₁₉×#407	C₂²	semidirect
134. C₄×M₁₆×C₁₉	C₂²	semidirect
470. #62299	C₁₉	direct (N × H)
530. D₄×C₁₉	AGL(1,ℤ/8)	semidirect
571. C₈×C₁₉	H(5,𝔽₂)	semidirect
572. #3519	C₂×C₁₉	semidirect
573. #3496	C₂×C₁₉	semidirect
574. #3354	C₂×C₁₉	semidirect
575. #3345	C₂×C₁₉	semidirect
576. #3335	C₂×C₁₉	semidirect
577. #3332	C₂×C₁₉	semidirect
578. #3325	C₂×C₁₉	semidirect
579. #3318	C₂×C₁₉	semidirect
580. #3306	C₂×C₁₉	semidirect
581. #3295	C₂×C₁₉	semidirect
582. #3294	C₂×C₁₉	semidirect
583. D₄×D₈	C₂×C₁₉	semidirect
584. #3274	C₂×C₁₉	semidirect
585. #3264	C₂×C₁₉	semidirect
586. #3253	C₂×C₁₉	semidirect
587. #3251	C₂×C₁₉	semidirect
588. #3194	C₂×C₁₉	semidirect
589. #3192	C₂×C₁₉	semidirect
590. #3184	C₂×C₁₉	semidirect
591. #3171	C₂×C₁₉	semidirect
592. #3055	C₂×C₁₉	semidirect
593. C₂×#469	C₂×C₁₉	semidirect
594. D₄×M₁₆	C₂×C₁₉	semidirect
641. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
642. C₂²×D₈	C₂²×C₁₉	semidirect
643. C₂²×M₁₆	C₂²×C₁₉	semidirect
644. #555	C₂²×C₁₉	semidirect
645. #554	C₂²×C₁₉	semidirect
647. #553	C₂²×C₁₉	semidirect
648. #550	C₂²×C₁₉	semidirect
650. #547	C₂²×C₁₉	semidirect
651. #547	C₂²×C₁₉	semidirect
656. #546	C₂²×C₁₉	semidirect
659. D₄²	C₂²×C₁₉	semidirect
660. D₄²	C₂²×C₁₉	semidirect
661. D₄²	C₂²×C₁₉	semidirect
666. #532	C₂²×C₁₉	semidirect
667. #532	C₂²×C₁₉	semidirect
668. #532	C₂²×C₁₉	semidirect
669. #529	C₂²×C₁₉	semidirect
670. #525	C₂²×C₁₉	semidirect
671. C₂×#121	C₂²×C₁₉	semidirect
672. C₂×#121	C₂²×C₁₉	semidirect
673. C₂×#121	C₂²×C₁₉	semidirect
676. #501	C₂²×C₁₉	semidirect
677. #498	C₂²×C₁₉	semidirect
678. #496	C₂²×C₁₉	semidirect
679. #493	C₂²×C₁₉	semidirect
680. #490	C₂²×C₁₉	semidirect
681. #489	C₂²×C₁₉	semidirect
682. #486	C₂²×C₁₉	semidirect
683. #486	C₂²×C₁₉	semidirect
684. #483	C₂²×C₁₉	semidirect
685. #482	C₂²×C₁₉	semidirect
686. #482	C₂²×C₁₉	semidirect
687. #481	C₂²×C₁₉	semidirect
688. #481	C₂²×C₁₉	semidirect
689. #481	C₂²×C₁₉	semidirect
690. #481	C₂²×C₁₉	semidirect
691. #480	C₂²×C₁₉	semidirect
692. #478	C₂²×C₁₉	semidirect
693. #476	C₂²×C₁₉	semidirect
694. #476	C₂²×C₁₉	semidirect
695. #476	C₂²×C₁₉	semidirect
696. #475	C₂²×C₁₉	semidirect
697. #474	C₂²×C₁₉	semidirect
698. #469	C₂²×C₁₉	semidirect
699. #469	C₂²×C₁₉	semidirect
700. #469	C₂²×C₁₉	semidirect
701. #469	C₂²×C₁₉	semidirect
702. #469	C₂²×C₁₉	semidirect
703. #469	C₂²×C₁₉	semidirect
704. #469	C₂²×C₁₉	semidirect
705. #469	C₂²×C₁₉	semidirect
706. #469	C₂²×C₁₉	semidirect
707. #469	C₂²×C₁₉	semidirect
708. #469	C₂²×C₁₉	semidirect
709. #468	C₂²×C₁₉	semidirect
710. #468	C₂²×C₁₉	semidirect
711. #468	C₂²×C₁₉	semidirect
712. #466	C₂²×C₁₉	semidirect
713. #466	C₂²×C₁₉	semidirect
714. #465	C₂²×C₁₉	semidirect
715. #465	C₂²×C₁₉	semidirect
716. #463	C₂²×C₁₉	semidirect
717. #460	C₂²×C₁₉	semidirect
718. #459	C₂²×C₁₉	semidirect
719. #459	C₂²×C₁₉	semidirect
720. #459	C₂²×C₁₉	semidirect
721. #459	C₂²×C₁₉	semidirect
722. #450	C₂²×C₁₉	semidirect
723. #449	C₂²×C₁₉	semidirect
724. #449	C₂²×C₁₉	semidirect
725. #447	C₂²×C₁₉	semidirect
726. #447	C₂²×C₁₉	semidirect
727. #447	C₂²×C₁₉	semidirect
728. #447	C₂²×C₁₉	semidirect
729. #447	C₂²×C₁₉	semidirect
730. #442	C₂²×C₁₉	semidirect
731. #442	C₂²×C₁₉	semidirect
732. C₄×SD₁₆	C₂²×C₁₉	semidirect
733. C₄×SD₁₆	C₂²×C₁₉	semidirect
734. C₄×D₈	C₂²×C₁₉	semidirect
735. C₄×D₈	C₂²×C₁₉	semidirect
736. #436	C₂²×C₁₉	semidirect
737. #436	C₂²×C₁₉	semidirect
738. #435	C₂²×C₁₉	semidirect
739. #435	C₂²×C₁₉	semidirect
740. C₈×D₄	C₂²×C₁₉	semidirect
741. C₈×D₄	C₂²×C₁₉	semidirect
742. #428	C₂²×C₁₉	semidirect
743. C₂×#106	C₂²×C₁₉	semidirect
744. #423	C₂²×C₁₉	semidirect
745. #418	C₂²×C₁₉	semidirect
746. #417	C₂²×C₁₉	semidirect
747. C₂×#102	C₂²×C₁₉	semidirect
748. C₂×#102	C₂²×C₁₉	semidirect
749. #407	C₂²×C₁₉	semidirect
750. C₄×M₁₆	C₂²×C₁₉	semidirect
943. C₁₉	#62299	direct (N × H)
1157. D₄	C₁₉×AGL(1,ℤ/8)	semidirect
1198. C₈	C₁₉×H(5,𝔽₂)	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₉×#3519	2
C₁₉×#3496	2
C₁₉×#3354	2
C₁₉×#3345	2
C₁₉×#3335	2
C₁₉×#3332	2
C₁₉×#3325	2
C₁₉×#3318	2
C₁₉×#3306	2
C₁₉×#3295	2
C₁₉×#3294	2
D₄×D₈×C₁₉	2
C₁₉×#3274	2
C₁₉×#3264	2
C₁₉×#3253	2
C₁₉×#3251	2
C₁₉×#3194	2
C₁₉×#3192	2
C₁₉×#3184	2
C₁₉×#3171	2
C₁₉×#3055	2
C₂×C₁₉×#469	2
D₄×M₁₆×C₁₉	2
#62299	19

Subgroups — C19×#62299 #18068258

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#62299 #18068258