Subgroups — C₁₉×#61055 #18067014

Order 4864.

2764 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₉×#577	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₁₉×#135	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₉×#3489	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₉×#3488	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₉×#3284	C₂	1	2	yes	maximal, complemented
6	C₁₉×#3282	C₂	1	2	yes	maximal, complemented
7	C₁₉×#3282	C₂	1	2	yes	maximal, complemented
8	D₄×SD₁₆×C₁₉	C₂	1	2	yes	maximal, complemented
9	C₁₉×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₉×#3270	C₂	1	2	yes	maximal, complemented
11	C₁₉×#3267	C₂	1	2	yes	maximal, complemented
12	C₁₉×#3264	C₂	1	2	yes	maximal, complemented
13	C₁₉×#3154	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₉×#3060	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₉×#465	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₉×#3046	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₉×#3045	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₉×#3013	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₉×#3012	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₉×#3007	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₉×#3006	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₉×#2952	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₉×#2929	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₉×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₁₉×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic
27	C₂²×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
28	C₁₉×#577	—	2	8	no	—
29	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₉×#137	C₂²	1	2	yes	complemented
31	C₂×C₁₉×#137	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
34	C₂×C₁₉×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₉×#135	—	2	8	no	—
36	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
37	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic
38	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₉×#135	C₂²	1	2	yes	complemented
43	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₉×#135	C₂²	1	1	yes	characteristic, complemented
45	C₂²×Q₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
46	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
47	C₂²×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
48	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
49	C₂²×SD₁₆×C₁₉	C₂²	1	1	yes	characteristic, complemented
50	C₂²×D₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₉×#131	C₂²	1	1	yes	characteristic, complemented
52	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
53	C₁₉×#550	C₂²	1	2	yes	complemented
54	D₄×Q₈×C₁₉	C₂²	1	2	yes	complemented
55	C₁₉×#548	C₂²	1	2	yes	—
56	C₁₉×#548	C₂²	1	2	yes	complemented
57	C₁₉×#547	—	2	2	no	—
58	C₁₉×#547	C₂²	1	2	yes	complemented
59	C₁₉×#546	—	2	2	no	—
60	C₁₉×#546	—	2	2	no	—
61	C₁₉×#546	C₂²	1	2	yes	complemented
62	C₁₉×#546	C₂²	1	2	yes	complemented
63	D₄²×C₁₉	—	2	2	no	—
64	D₄²×C₁₉	C₂²	1	2	yes	—
65	C₁₉×#537	—	2	1	no	—
66	C₁₉×#537	—	2	1	no	—
67	C₁₉×#537	C₂²	1	1	yes	characteristic, complemented
68	C₁₉×#537	C₂²	1	1	yes	characteristic, complemented
69	C₁₉×#536	—	2	1	no	—
70	C₁₉×#536	C₂²	1	1	yes	characteristic, complemented
71	C₁₉×#535	—	2	1	no	—
72	C₁₉×#535	C₂²	1	1	yes	characteristic, complemented
73	C₁₉×#525	—	2	1	no	—
74	C₁₉×#525	—	2	1	no	—
75	C₁₉×#525	C₂²	1	1	yes	characteristic
76	C₂×C₁₉×C₂²⋊Q₈	—	2	1	no	—
77	C₂×C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₁₉×#121	—	2	1	no	—
79	C₂×C₁₉×#121	C₂²	1	1	yes	characteristic
80	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
81	C₁₉×#520	C₂²	1	1	yes	characteristic, complemented
82	C₁₉×#497	C₂²	1	2	yes	complemented
83	C₁₉×#496	C₂²	1	2	yes	complemented
84	C₁₉×#495	C₂²	1	2	yes	complemented
85	C₁₉×#492	C₂²	1	2	yes	complemented
86	C₁₉×#470	C₂²	1	2	yes	complemented
87	C₁₉×#469	C₂²	1	2	yes	complemented
88	C₁₉×#465	C₂²	1	2	yes	complemented
89	C₁₉×#465	C₂²	1	2	yes	complemented
90	C₁₉×#465	C₂²	1	2	yes	complemented
91	C₁₉×#465	C₂²	1	2	yes	complemented
92	C₁₉×#465	C₂²	1	2	yes	complemented
93	C₁₉×#465	C₂²	1	2	yes	complemented
94	C₁₉×#464	C₂²	1	2	yes	complemented
95	C₁₉×#464	C₂²	1	2	yes	complemented
96	C₁₉×#463	C₂²	1	2	yes	complemented
97	C₁₉×#463	C₂²	1	2	yes	complemented
98	C₁₉×#462	C₂²	1	2	yes	complemented
99	C₁₉×#461	C₂²	1	2	yes	complemented
100	C₁₉×#460	C₂²	1	2	yes	complemented
101	C₁₉×#459	C₂²	1	2	yes	complemented
102	C₁₉×#452	C₂²	1	2	yes	complemented
103	C₁₉×#452	C₂²	1	2	yes	complemented
104	C₁₉×#452	C₂²	1	2	yes	complemented
105	C₁₉×#452	C₂²	1	2	yes	complemented
106	C₁₉×#451	C₂²	1	2	yes	complemented
107	C₁₉×#451	C₂²	1	2	yes	complemented
108	C₁₉×#450	C₂²	1	2	yes	complemented
109	C₁₉×#450	C₂²	1	2	yes	complemented
110	C₁₉×#449	C₂²	1	2	yes	complemented
111	C₁₉×#449	C₂²	1	2	yes	complemented
112	C₁₉×#449	C₂²	1	2	yes	complemented
113	C₁₉×#449	C₂²	1	2	yes	complemented
114	C₁₉×#448	C₂²	1	2	yes	complemented
115	C₁₉×#448	C₂²	1	2	yes	complemented
116	C₁₉×#447	C₂²	1	2	yes	complemented
117	C₁₉×#447	C₂²	1	2	yes	complemented
118	C₁₉×#442	C₂²	1	2	yes	complemented
119	C₁₉×#441	C₂²	1	2	yes	complemented
120	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
121	C₄×SD₁₆×C₁₉	C₂²	1	2	yes	complemented
122	C₁₉×#435	C₂²	1	2	yes	complemented
123	C₁₉×#435	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
125	C₈×D₄×C₁₉	C₂²	1	2	yes	complemented
126	C₂×C₁₉×#106	C₂²	1	1	yes	characteristic, complemented
127	C₁₉×#424	C₂²	1	1	yes	characteristic, complemented
128	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
129	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
130	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
131	C₁₉×#417	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₉×#103	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₁₉×#102	C₂²	1	1	yes	characteristic, complemented
134	C₁₉×#408	C₂²	1	1	yes	characteristic, complemented
135	C₁₉×#407	C₂²	1	1	yes	characteristic, complemented
136	C₁₉×#405	C₂²	1	1	yes	characteristic, complemented
137	C₁₉×2₋¹⁺⁴	—	2	4	no	—
138	C₁₉×2₋¹⁺⁴	—	4	2	no	—
139	C₁₉×H(5,𝔽₂)	—	2	4	no	—
140	C₁₉×H(5,𝔽₂)	—	4	2	no	—
141	C₂×#41×C₁₉	—	2	1	no	—
142	C₂×#41×C₁₉	—	2	1	no	—
143	C₂×#41×C₁₉	—	2	2	no	—
144	C₂×#41×C₁₉	—	2	1	no	—
145	C₂×#41×C₁₉	—	2	1	no	—
146	C₂×#41×C₁₉	—	2	1	no	—
147	C₂×#41×C₁₉	—	2	1	no	—
148	C₂×#41×C₁₉	—	2	4	no	—
149	C₂×#41×C₁₉	—	2	4	no	—
150	C₂×#41×C₁₉	—	4	2	no	—
151	C₂×#41×C₁₉	—	4	2	no	—
152	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
153	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
154	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
155	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
156	C₂×#41×C₁₉	C₂³	1	2	yes	—
157	C₂×#41×C₁₉	C₂³	1	2	yes	—
158	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
159	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
160	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
161	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
162	C₂×#41×C₁₉	C₂³	1	1	yes	characteristic
163	C₂²×Q₈×C₁₉	—	2	1	no	—
164	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
165	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
166	C₂²×Q₈×C₁₉	C₂³	1	2	yes	—
167	C₂²×Q₈×C₁₉	C₂³	1	1	yes	characteristic
168	C₂²×D₄×C₁₉	—	2	1	no	—
169	C₂²×D₄×C₁₉	—	2	1	no	—
170	C₂²×D₄×C₁₉	—	2	1	no	—
171	C₂²×D₄×C₁₉	—	2	1	no	—
172	C₂²×D₄×C₁₉	—	2	2	no	—
173	C₂²×D₄×C₁₉	—	2	2	no	—
174	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
175	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
176	C₂²×D₄×C₁₉	C₂³	1	2	yes	—
177	C₂²×D₄×C₁₉	C₂³	1	1	yes	characteristic
178	C₂³×C₄×C₁₉	—	2	1	no	—
179	C₂³×C₄×C₁₉	—	2	1	no	—
180	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
181	C₁₉×#137	—	2	4	no	—
182	C₁₉×#137	—	2	8	no	—
183	C₁₉×#137	—	4	2	no	—
184	C₁₉×AGL(1,ℤ/8)	—	2	4	no	—
185	C₁₉×AGL(1,ℤ/8)	—	2	8	no	—
186	C₁₉×AGL(1,ℤ/8)	—	4	2	no	—
187	C₁₉×#135	—	2	4	no	—
188	C₁₉×#135	—	2	4	no	—
189	C₁₉×#135	—	2	4	no	—
190	C₁₉×#135	—	2	4	no	—
191	C₁₉×#135	—	2	4	no	—
192	C₁₉×#135	—	2	8	no	—
193	C₁₉×#135	—	2	4	no	—
194	C₁₉×#135	—	2	4	no	—
195	C₁₉×#135	D₄	1	8	yes	complemented
196	C₂×Q₁₆×C₁₉	—	2	4	no	—
197	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
198	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
199	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
200	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
201	C₂×Q₁₆×C₁₉	C₂³	1	2	yes	—
202	C₂×Q₁₆×C₁₉	C₂³	1	1	yes	characteristic
203	C₂×SD₁₆×C₁₉	—	2	4	no	—
204	C₂×SD₁₆×C₁₉	—	2	4	no	—
205	C₂×SD₁₆×C₁₉	—	2	8	no	—
206	C₂×SD₁₆×C₁₉	—	2	4	no	—
207	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
208	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
209	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
210	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
211	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
212	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
213	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
214	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
215	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
216	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
217	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
218	C₂×SD₁₆×C₁₉	C₂³	1	2	yes	—
219	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
220	C₂×SD₁₆×C₁₉	C₂³	1	1	yes	characteristic
221	C₂×D₈×C₁₉	—	2	4	no	—
222	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
223	C₂×D₈×C₁₉	C₂³	1	2	yes	—
224	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
225	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
226	C₂×D₈×C₁₉	C₂³	1	2	yes	—
227	C₂×D₈×C₁₉	C₂³	1	1	yes	characteristic
228	C₁₉×#131	—	2	4	no	—
229	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
230	C₂×M₁₆×C₁₉	C₂³	1	1	yes	characteristic
231	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
232	C₂²×C₈×C₁₉	—	2	4	no	—
233	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
234	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
235	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
236	C₂²×C₈×C₁₉	C₂³	1	2	yes	—
237	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₉	C₂³	1	1	yes	characteristic
240	C₁₉×C₄⋊Q₈	—	2	2	no	—
241	C₁₉×C₄⋊Q₈	C₂³	1	2	yes	—
242	C₁₉×#127	—	2	2	no	—
243	C₁₉×#127	C₂³	1	2	yes	—
244	C₁₉×#124	—	2	2	no	—
245	C₁₉×#124	—	2	2	no	—
246	C₁₉×#124	C₂³	1	2	yes	—
247	C₁₉×#124	C₂³	1	2	yes	—
248	C₁₉×#123	—	2	2	no	—
249	C₁₉×#123	—	2	2	no	—
250	C₁₉×#123	—	2	2	no	—
251	C₁₉×#123	—	2	2	no	—
252	C₁₉×#123	—	2	2	no	—
253	C₁₉×#123	D₄	1	2	yes	—
254	C₁₉×C₂²⋊Q₈	—	2	1	no	—
255	C₁₉×C₂²⋊Q₈	—	2	1	no	—
256	C₁₉×C₂²⋊Q₈	—	2	1	no	—
257	C₁₉×C₂²⋊Q₈	—	2	1	no	—
258	C₁₉×C₂²⋊Q₈	—	2	1	no	—
259	C₁₉×C₂²⋊Q₈	—	2	2	no	—
260	C₁₉×C₂²⋊Q₈	—	2	1	no	—
261	C₁₉×C₂²⋊Q₈	—	2	2	no	—
262	C₁₉×C₂²⋊Q₈	—	2	2	no	—
263	C₁₉×C₂²⋊Q₈	—	2	2	no	—
264	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
265	C₁₉×C₂²⋊Q₈	D₄	1	1	yes	characteristic
266	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
267	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
268	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
269	C₁₉×C₂²⋊Q₈	C₂³	1	2	yes	—
270	C₁₉×#121	—	2	1	no	—
271	C₁₉×#121	—	2	2	no	—
272	C₁₉×#121	—	2	1	no	—
273	C₁₉×#121	—	2	2	no	—
274	C₁₉×#121	—	2	2	no	—
275	C₁₉×#121	—	2	2	no	—
276	C₁₉×#121	—	2	2	no	—
277	C₁₉×#121	—	2	1	no	—
278	C₁₉×#121	—	2	1	no	—
279	C₁₉×#121	—	2	1	no	—
280	C₁₉×#121	—	2	1	no	—
281	C₁₉×#121	—	2	2	no	—
282	C₁₉×#121	—	2	2	no	—
283	C₁₉×#121	—	2	2	no	—
284	C₁₉×#121	—	2	2	no	—
285	C₁₉×#121	—	2	2	no	—
286	C₁₉×#121	D₄	1	1	yes	characteristic
287	C₁₉×#121	D₄	1	1	yes	characteristic
288	C₁₉×#121	C₂³	1	2	yes	—
289	C₁₉×#121	C₂³	1	2	yes	—
290	C₁₉×#121	C₂³	1	2	yes	—
291	C₁₉×#121	C₂³	1	2	yes	—
292	C₁₉×#120	—	2	2	no	—
293	C₁₉×#120	—	2	2	no	—
294	C₁₉×#120	—	2	2	no	—
295	C₁₉×#120	—	2	2	no	—
296	C₁₉×#120	—	2	2	no	—
297	C₁₉×#120	D₄	1	2	yes	—
298	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
299	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
300	C₄×D₄×C₁₉	—	2	2	no	—
301	C₄×D₄×C₁₉	—	2	2	no	—
302	C₄×D₄×C₁₉	—	2	2	no	—
303	C₄×D₄×C₁₉	—	2	2	no	—
304	C₄×D₄×C₁₉	—	2	2	no	—
305	C₄×D₄×C₁₉	—	2	2	no	—
306	C₄×D₄×C₁₉	C₂³	1	2	yes	—
307	C₄×D₄×C₁₉	C₂³	1	2	yes	—
308	C₄×D₄×C₁₉	C₂³	1	2	yes	—
309	C₄×D₄×C₁₉	C₂³	1	2	yes	—
310	C₁₉×#117	—	2	1	no	—
311	C₁₉×#117	—	2	1	no	—
312	C₁₉×#117	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
314	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
315	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
316	C₂×C₄⋊C₄×C₁₉	—	2	2	no	—
317	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
320	C₂×C₂²⋊C₄×C₁₉	—	2	1	no	—
321	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
322	C₂×C₂²⋊C₄×C₁₉	—	2	2	no	—
323	C₁₉×#106	C₂³	1	2	yes	—
324	C₁₉×#106	C₂³	1	2	yes	—
325	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
326	C₁₉×C₄⋊C₈	C₂³	1	2	yes	—
327	C₁₉×#103	C₂³	1	2	yes	—
328	C₁₉×#103	C₂³	1	2	yes	—
329	C₁₉×#103	C₂³	1	2	yes	—
330	C₁₉×#103	C₂³	1	2	yes	—
331	C₁₉×#103	C₂³	1	2	yes	—
332	C₁₉×#103	C₂³	1	2	yes	—
333	C₁₉×#102	C₂³	1	2	yes	—
334	C₁₉×#102	C₂³	1	2	yes	—
335	C₁₉×#102	C₂³	1	2	yes	—
336	C₁₉×#102	C₂³	1	2	yes	—
337	C₁₉×#102	C₂³	1	2	yes	—
338	C₁₉×#102	C₂³	1	2	yes	—
339	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₉×C₂²⋊C₈	C₂³	1	2	yes	—
343	C₁₉×#97	C₂³	1	2	yes	—
344	C₄×C₈×C₁₉	C₂³	1	2	yes	—
345	C₂⁴×C₁₉	—	2	1	no	—
346	C₂⁴×C₁₉	—	2	1	no	—
347	C₂⁴×C₁₉	—	2	2	no	—
348	C₂⁴×C₁₉	—	2	1	no	—
349	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
350	#41×C₁₉	—	2	2	no	—
351	#41×C₁₉	—	2	2	no	—
352	#41×C₁₉	—	2	2	no	—
353	#41×C₁₉	—	2	2	no	—
354	#41×C₁₉	—	2	2	no	—
355	#41×C₁₉	—	2	2	no	—
356	#41×C₁₉	—	2	4	no	—
357	#41×C₁₉	—	2	2	no	—
358	#41×C₁₉	—	2	2	no	—
359	#41×C₁₉	—	2	4	no	—
360	#41×C₁₉	—	2	2	no	—
361	#41×C₁₉	—	2	2	no	—
362	#41×C₁₉	—	2	2	no	—
363	#41×C₁₉	—	2	2	no	—
364	#41×C₁₉	—	4	4	no	—
365	#41×C₁₉	—	4	4	no	—
366	#41×C₁₉	—	4	1	no	—
367	#41×C₁₉	—	4	1	no	—
368	#41×C₁₉	—	4	1	no	—
369	#41×C₁₉	—	4	1	no	—
370	#41×C₁₉	—	4	2	no	—
371	#41×C₁₉	—	4	2	no	—
372	#41×C₁₉	—	4	4	no	—
373	#41×C₁₉	—	4	4	no	—
374	#41×C₁₉	—	4	4	no	—
375	#41×C₁₉	—	4	4	no	—
376	#41×C₁₉	—	4	8	no	—
377	#41×C₁₉	C₂×D₄	1	4	yes	—
378	#41×C₁₉	C₂×D₄	1	4	yes	complemented
379	C₂×Q₈×C₁₉	—	2	1	no	—
380	C₂×Q₈×C₁₉	—	2	1	no	—
381	C₂×Q₈×C₁₉	—	2	2	no	—
382	C₂×Q₈×C₁₉	—	2	1	no	—
383	C₂×Q₈×C₁₉	—	2	2	no	—
384	C₂×Q₈×C₁₉	—	2	2	no	—
385	C₂×Q₈×C₁₉	—	2	4	no	—
386	C₂×Q₈×C₁₉	—	2	2	no	—
387	C₂×Q₈×C₁₉	—	2	2	no	—
388	C₂×Q₈×C₁₉	—	4	1	no	—
389	C₂×Q₈×C₁₉	—	4	1	no	—
390	C₂×Q₈×C₁₉	—	4	2	no	—
391	C₂×Q₈×C₁₉	—	4	4	no	—
392	C₂×Q₈×C₁₉	C₂×D₄	1	1	yes	characteristic
393	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
394	C₂×Q₈×C₁₉	C₂⁴	1	2	yes	—
395	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
396	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
397	C₂×Q₈×C₁₉	C₂⁴	1	1	yes	characteristic
398	C₂×D₄×C₁₉	—	2	1	no	—
399	C₂×D₄×C₁₉	—	2	1	no	—
400	C₂×D₄×C₁₉	—	2	2	no	—
401	C₂×D₄×C₁₉	—	2	2	no	—
402	C₂×D₄×C₁₉	—	2	4	no	—
403	C₂×D₄×C₁₉	—	2	2	no	—
404	C₂×D₄×C₁₉	—	2	1	no	—
405	C₂×D₄×C₁₉	—	2	1	no	—
406	C₂×D₄×C₁₉	—	2	2	no	—
407	C₂×D₄×C₁₉	—	2	1	no	—
408	C₂×D₄×C₁₉	—	2	1	no	—
409	C₂×D₄×C₁₉	—	2	1	no	—
410	C₂×D₄×C₁₉	—	2	2	no	—
411	C₂×D₄×C₁₉	—	2	1	no	—
412	C₂×D₄×C₁₉	—	2	2	no	—
413	C₂×D₄×C₁₉	—	2	2	no	—
414	C₂×D₄×C₁₉	—	2	2	no	—
415	C₂×D₄×C₁₉	—	2	2	no	—
416	C₂×D₄×C₁₉	—	2	1	no	—
417	C₂×D₄×C₁₉	—	2	2	no	—
418	C₂×D₄×C₁₉	—	2	1	no	—
419	C₂×D₄×C₁₉	—	2	1	no	—
420	C₂×D₄×C₁₉	—	2	2	no	—
421	C₂×D₄×C₁₉	—	2	2	no	—
422	C₂×D₄×C₁₉	—	2	2	no	—
423	C₂×D₄×C₁₉	—	4	1	no	—
424	C₂×D₄×C₁₉	—	4	1	no	—
425	C₂×D₄×C₁₉	—	4	2	no	—
426	C₂×D₄×C₁₉	—	4	4	no	—
427	C₂×D₄×C₁₉	—	4	8	no	—
428	C₂×D₄×C₁₉	—	4	4	no	—
429	C₂×D₄×C₁₉	—	4	4	no	—
430	C₂×D₄×C₁₉	—	8	4	no	—
431	C₂×D₄×C₁₉	—	8	2	no	—
432	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
433	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
434	C₂×D₄×C₁₉	C₂×D₄	1	1	yes	characteristic
435	C₂×D₄×C₁₉	C₂×D₄	1	2	yes	—
436	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
437	C₂×D₄×C₁₉	C₂⁴	1	2	yes	—
438	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
439	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
440	C₂×D₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	1	no	—
446	C₂²×C₄×C₁₉	—	2	1	no	—
447	C₂²×C₄×C₁₉	—	2	2	no	—
448	C₂²×C₄×C₁₉	—	2	1	no	—
449	C₂²×C₄×C₁₉	—	2	1	no	—
450	C₂²×C₄×C₁₉	—	2	1	no	—
451	C₂²×C₄×C₁₉	—	2	1	no	—
452	C₂²×C₄×C₁₉	—	2	2	no	—
453	C₂²×C₄×C₁₉	—	2	1	no	—
454	C₂²×C₄×C₁₉	—	2	1	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	—	2	2	no	—
461	C₂²×C₄×C₁₉	—	4	4	no	—
462	C₂²×C₄×C₁₉	—	4	4	no	—
463	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
464	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
465	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
466	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₁₉	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
470	Q₁₆×C₁₉	—	2	2	no	—
471	Q₁₆×C₁₉	—	2	2	no	—
472	Q₁₆×C₁₉	—	2	4	no	—
473	Q₁₆×C₁₉	—	2	2	no	—
474	Q₁₆×C₁₉	—	4	2	no	—
475	Q₁₆×C₁₉	C₂×D₄	1	4	yes	complemented
476	SD₁₆×C₁₉	—	2	2	no	—
477	SD₁₆×C₁₉	—	2	2	no	—
478	SD₁₆×C₁₉	—	2	4	no	—
479	SD₁₆×C₁₉	—	2	2	no	—
480	SD₁₆×C₁₉	—	2	2	no	—
481	SD₁₆×C₁₉	—	2	4	no	—
482	SD₁₆×C₁₉	—	2	4	no	—
483	SD₁₆×C₁₉	—	2	2	no	—
484	SD₁₆×C₁₉	—	2	2	no	—
485	SD₁₆×C₁₉	—	2	4	no	—
486	SD₁₆×C₁₉	—	4	2	no	—
487	SD₁₆×C₁₉	—	4	2	no	—
488	SD₁₆×C₁₉	C₂×D₄	1	4	yes	complemented
489	SD₁₆×C₁₉	C₂×D₄	1	4	yes	complemented
490	D₈×C₁₉	—	2	2	no	—
491	D₈×C₁₉	—	2	2	no	—
492	D₈×C₁₉	—	2	4	no	—
493	D₈×C₁₉	—	2	2	no	—
494	D₈×C₁₉	—	4	2	no	—
495	D₈×C₁₉	C₂×D₄	1	4	yes	complemented
496	M₁₆×C₁₉	—	2	2	no	—
497	M₁₆×C₁₉	—	2	2	no	—
498	M₁₆×C₁₉	—	2	4	no	—
499	C₂×C₈×C₁₉	—	2	2	no	—
500	C₂×C₈×C₁₉	—	2	2	no	—
501	C₂×C₈×C₁₉	—	2	2	no	—
502	C₂×C₈×C₁₉	—	2	2	no	—
503	C₂×C₈×C₁₉	—	2	2	no	—
504	C₂×C₈×C₁₉	—	2	4	no	—
505	C₂×C₈×C₁₉	C₂×D₄	1	4	yes	complemented
506	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
507	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
508	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
509	C₂×C₈×C₁₉	C₂⁴	1	2	yes	—
510	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
511	C₂×C₈×C₁₉	C₂⁴	1	1	yes	characteristic
512	C₄⋊C₄×C₁₉	—	2	2	no	—
513	C₄⋊C₄×C₁₉	—	2	1	no	—
514	C₄⋊C₄×C₁₉	—	2	1	no	—
515	C₄⋊C₄×C₁₉	—	2	2	no	—
516	C₄⋊C₄×C₁₉	—	2	2	no	—
517	C₄⋊C₄×C₁₉	—	2	2	no	—
518	C₄⋊C₄×C₁₉	—	2	2	no	—
519	C₄⋊C₄×C₁₉	—	2	2	no	—
520	C₄⋊C₄×C₁₉	—	2	2	no	—
521	C₄⋊C₄×C₁₉	—	2	2	no	—
522	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
523	C₄⋊C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
524	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
525	C₄⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
526	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
527	C₄⋊C₄×C₁₉	C₂⁴	1	2	yes	—
528	C₂²⋊C₄×C₁₉	—	2	2	no	—
529	C₂²⋊C₄×C₁₉	—	2	2	no	—
530	C₂²⋊C₄×C₁₉	—	2	2	no	—
531	C₂²⋊C₄×C₁₉	—	2	2	no	—
532	C₂²⋊C₄×C₁₉	—	2	2	no	—
533	C₂²⋊C₄×C₁₉	—	2	2	no	—
534	C₂²⋊C₄×C₁₉	—	2	2	no	—
535	C₂²⋊C₄×C₁₉	—	2	2	no	—
536	C₂²⋊C₄×C₁₉	—	2	2	no	—
537	C₂²⋊C₄×C₁₉	—	2	2	no	—
538	C₂²⋊C₄×C₁₉	—	2	2	no	—
539	C₂²⋊C₄×C₁₉	—	2	2	no	—
540	C₂²⋊C₄×C₁₉	—	2	2	no	—
541	C₂²⋊C₄×C₁₉	—	2	2	no	—
542	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
543	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
544	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
545	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
546	C₂²⋊C₄×C₁₉	C₂×D₄	1	2	yes	—
547	C₄²×C₁₉	—	2	2	no	—
548	C₄²×C₁₉	—	2	2	no	—
549	C₄²×C₁₉	C₂⁴	1	2	yes	—
550	#61055	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
551	C₂³×C₁₉	—	2	2	no	—
552	C₂³×C₁₉	—	2	2	no	—
553	C₂³×C₁₉	—	2	1	no	—
554	C₂³×C₁₉	—	2	1	no	—
555	C₂³×C₁₉	—	2	1	no	—
556	C₂³×C₁₉	—	2	2	no	—
557	C₂³×C₁₉	—	2	1	no	—
558	C₂³×C₁₉	—	4	1	no	—
559	C₂³×C₁₉	—	4	2	no	—
560	C₂³×C₁₉	—	4	2	no	—
561	C₂³×C₁₉	—	4	4	no	—
562	C₂³×C₁₉	—	4	2	no	—
563	C₂³×C₁₉	—	4	2	no	—
564	C₂³×C₁₉	—	4	2	no	—
565	C₂³×C₁₉	—	8	1	no	—
566	C₂³×C₁₉	—	8	1	no	—
567	C₂³×C₁₉	—	8	1	no	—
568	C₂³×C₁₉	—	8	2	no	—
569	C₂³×C₁₉	—	8	1	no	—
570	C₂³×C₁₉	—	8	2	no	—
571	C₂³×C₁₉	C₂²×D₄	1	2	yes	—
572	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
573	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
574	C₂³×C₁₉	C₂²×D₄	1	1	yes	characteristic
575	Q₈×C₁₉	—	2	2	no	—
576	Q₈×C₁₉	—	2	1	no	—
577	Q₈×C₁₉	—	2	1	no	—
578	Q₈×C₁₉	—	2	2	no	—
579	Q₈×C₁₉	—	2	1	no	—
580	Q₈×C₁₉	—	2	1	no	—
581	Q₈×C₁₉	—	2	1	no	—
582	Q₈×C₁₉	—	2	2	no	—
583	Q₈×C₁₉	—	2	1	no	—
584	Q₈×C₁₉	—	4	4	no	—
585	Q₈×C₁₉	—	4	2	no	—
586	Q₈×C₁₉	—	4	2	no	—
587	Q₈×C₁₉	—	4	2	no	—
588	Q₈×C₁₉	C₂²×D₄	1	2	yes	—
589	Q₈×C₁₉	C₂²×D₄	1	2	yes	—
590	D₄×C₁₉	—	2	4	no	—
591	D₄×C₁₉	—	2	4	no	—
592	D₄×C₁₉	—	2	4	no	—
593	D₄×C₁₉	—	2	4	no	—
594	D₄×C₁₉	—	2	2	no	—
595	D₄×C₁₉	—	2	1	no	—
596	D₄×C₁₉	—	2	1	no	—
597	D₄×C₁₉	—	2	2	no	—
598	D₄×C₁₉	—	2	1	no	—
599	D₄×C₁₉	—	2	1	no	—
600	D₄×C₁₉	—	2	1	no	—
601	D₄×C₁₉	—	2	2	no	—
602	D₄×C₁₉	—	2	1	no	—
603	D₄×C₁₉	—	4	2	no	—
604	D₄×C₁₉	—	4	4	no	—
605	D₄×C₁₉	—	4	2	no	—
606	D₄×C₁₉	—	4	2	no	—
607	D₄×C₁₉	—	4	4	no	—
608	D₄×C₁₉	—	4	2	no	—
609	D₄×C₁₉	—	4	2	no	—
610	D₄×C₁₉	—	4	2	no	—
611	D₄×C₁₉	—	4	2	no	—
612	D₄×C₁₉	—	4	4	no	—
613	D₄×C₁₉	—	4	2	no	—
614	D₄×C₁₉	—	4	2	no	—
615	D₄×C₁₉	—	4	4	no	—
616	D₄×C₁₉	—	4	2	no	—
617	D₄×C₁₉	—	8	2	no	—
618	D₄×C₁₉	—	8	2	no	—
619	D₄×C₁₉	—	8	2	no	—
620	D₄×C₁₉	—	8	2	no	—
621	D₄×C₁₉	—	8	2	no	—
622	D₄×C₁₉	C₂²×D₄	1	2	yes	—
623	D₄×C₁₉	C₂²×D₄	1	2	yes	—
624	C₂×C₄×C₁₉	—	2	2	no	—
625	C₂×C₄×C₁₉	—	2	1	no	—
626	C₂×C₄×C₁₉	—	2	1	no	—
627	C₂×C₄×C₁₉	—	2	2	no	—
628	C₂×C₄×C₁₉	—	2	2	no	—
629	C₂×C₄×C₁₉	—	2	4	no	—
630	C₂×C₄×C₁₉	—	2	4	no	—
631	C₂×C₄×C₁₉	—	2	1	no	—
632	C₂×C₄×C₁₉	—	2	1	no	—
633	C₂×C₄×C₁₉	—	2	2	no	—
634	C₂×C₄×C₁₉	—	2	1	no	—
635	C₂×C₄×C₁₉	—	2	1	no	—
636	C₂×C₄×C₁₉	—	2	2	no	—
637	C₂×C₄×C₁₉	—	2	2	no	—
638	C₂×C₄×C₁₉	—	2	2	no	—
639	C₂×C₄×C₁₉	—	2	1	no	—
640	C₂×C₄×C₁₉	—	2	2	no	—
641	C₂×C₄×C₁₉	—	2	1	no	—
642	C₂×C₄×C₁₉	—	4	2	no	—
643	C₂×C₄×C₁₉	—	4	2	no	—
644	C₂×C₄×C₁₉	—	4	4	no	—
645	C₂×C₄×C₁₉	—	4	2	no	—
646	C₂×C₄×C₁₉	—	4	2	no	—
647	C₂×C₄×C₁₉	—	4	2	no	—
648	C₂×C₄×C₁₉	—	4	2	no	—
649	C₂×C₄×C₁₉	—	4	4	no	—
650	C₂×C₄×C₁₉	—	4	4	no	—
651	C₂×C₄×C₁₉	—	4	2	no	—
652	C₂×C₄×C₁₉	—	4	2	no	—
653	C₂×C₄×C₁₉	—	4	2	no	—
654	C₂×C₄×C₁₉	—	8	2	no	—
655	C₂×C₄×C₁₉	—	8	2	no	—
656	C₂×C₄×C₁₉	—	8	1	no	—
657	C₂×C₄×C₁₉	—	8	1	no	—
658	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
659	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
660	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
661	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
662	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
663	C₂×C₄×C₁₉	C₂²×D₄	1	1	yes	characteristic
664	C₂×C₄×C₁₉	C₂²×D₄	1	2	yes	—
665	C₂×C₄×C₁₉	H(5,𝔽₂)	1	2	yes	—
666	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
667	C₈×C₁₉	—	2	1	no	—
668	C₈×C₁₉	—	2	1	no	—
669	C₈×C₁₉	—	2	2	no	—
670	C₈×C₁₉	—	2	2	no	—
671	C₈×C₁₉	C₂²×D₄	1	2	yes	—
672	C₈×C₁₉	C₂²×D₄	1	2	yes	—
673	C₂×#577	C₂×C₁₉	1	1	yes	characteristic, complemented
674	C₂²×#135	C₂×C₁₉	1	1	yes	characteristic, complemented
675	#3489	C₂×C₁₉	1	1	yes	characteristic, complemented
676	#3488	C₂×C₁₉	1	1	yes	characteristic, complemented
677	#3284	C₂×C₁₉	1	2	yes	complemented
678	#3282	C₂×C₁₉	1	2	yes	complemented
679	#3282	C₂×C₁₉	1	2	yes	complemented
680	D₄×SD₁₆	C₂×C₁₉	1	2	yes	complemented
681	#3271	C₂×C₁₉	1	2	yes	complemented
682	#3270	C₂×C₁₉	1	2	yes	complemented
683	#3267	C₂×C₁₉	1	2	yes	complemented
684	#3264	C₂×C₁₉	1	2	yes	complemented
685	#3154	C₂×C₁₉	1	1	yes	characteristic, complemented
686	#3060	C₂×C₁₉	1	1	yes	characteristic, complemented
687	C₂×#465	C₂×C₁₉	1	1	yes	characteristic, complemented
688	#3046	C₂×C₁₉	1	1	yes	characteristic, complemented
689	#3045	C₂×C₁₉	1	1	yes	characteristic, complemented
690	#3013	C₂×C₁₉	1	1	yes	characteristic, complemented
691	#3012	C₂×C₁₉	1	1	yes	characteristic, complemented
692	#3007	C₂×C₁₉	1	1	yes	characteristic, complemented
693	#3006	C₂×C₁₉	1	1	yes	characteristic, complemented
694	#2952	C₂×C₁₉	1	1	yes	characteristic, complemented
695	#2929	C₂×C₁₉	1	1	yes	characteristic, complemented
696	C₂²×C₁₉	—	2	1	no	—
697	C₂²×C₁₉	—	2	1	no	—
698	C₂²×C₁₉	—	2	1	no	—
699	C₂²×C₁₉	—	2	1	no	—
700	C₂²×C₁₉	—	2	1	no	—
701	C₂²×C₁₉	—	2	2	no	—
702	C₂²×C₁₉	—	2	1	no	—
703	C₂²×C₁₉	—	2	2	no	—
704	C₂²×C₁₉	—	2	2	no	—
705	C₂²×C₁₉	—	2	2	no	—
706	C₂²×C₁₉	—	2	2	no	—
707	C₂²×C₁₉	—	2	1	no	—
708	C₂²×C₁₉	—	4	4	no	—
709	C₂²×C₁₉	—	4	1	no	—
710	C₂²×C₁₉	—	4	1	no	—
711	C₂²×C₁₉	—	4	1	no	—
712	C₂²×C₁₉	—	4	1	no	—
713	C₂²×C₁₉	—	4	1	no	—
714	C₂²×C₁₉	—	4	1	no	—
715	C₂²×C₁₉	—	4	2	no	—
716	C₂²×C₁₉	—	4	1	no	—
717	C₂²×C₁₉	—	4	1	no	—
718	C₂²×C₁₉	—	4	2	no	—
719	C₂²×C₁₉	—	4	2	no	—
720	C₂²×C₁₉	—	4	1	no	—
721	C₂²×C₁₉	—	4	1	no	—
722	C₂²×C₁₉	—	8	4	no	—
723	C₂²×C₁₉	—	8	4	no	—
724	C₂²×C₁₉	—	16	2	no	—
725	C₂²×C₁₉	—	16	4	no	—
726	C₂²×C₁₉	D₄²	1	2	yes	—
727	C₂²×C₁₉	#577	1	2	yes	complemented
728	C₂²×C₁₉	C₂³×D₄	1	1	yes	characteristic
729	C₄×C₁₉	—	2	2	no	—
730	C₄×C₁₉	—	2	1	no	—
731	C₄×C₁₉	—	2	1	no	—
732	C₄×C₁₉	—	2	2	no	—
733	C₄×C₁₉	—	2	2	no	—
734	C₄×C₁₉	—	2	2	no	—
735	C₄×C₁₉	—	2	2	no	—
736	C₄×C₁₉	—	4	2	no	—
737	C₄×C₁₉	—	4	1	no	—
738	C₄×C₁₉	—	4	1	no	—
739	C₄×C₁₉	—	4	2	no	—
740	C₄×C₁₉	—	4	2	no	—
741	C₄×C₁₉	D₄²	1	2	yes	—
742	C₄×C₁₉	C₂³×D₄	1	1	yes	characteristic
743	C₄×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
744	C₂×2₋¹⁺⁴	C₂²×C₁₉	1	1	yes	characteristic, complemented
745	C₂×H(5,𝔽₂)	C₂²×C₁₉	1	1	yes	characteristic, complemented
746	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic
747	C₂²×#41	C₂²×C₁₉	1	1	yes	characteristic, complemented
748	#577	—	2	8	no	—
749	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic, complemented
750	C₂×#137	C₂²×C₁₉	1	2	yes	complemented
751	C₂×#137	C₂²×C₁₉	1	1	yes	characteristic, complemented
752	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic, complemented
753	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	2	yes	complemented
754	C₂×AGL(1,ℤ/8)	C₂²×C₁₉	1	1	yes	characteristic, complemented
755	C₂×#135	—	2	8	no	—
756	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
757	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic
758	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
759	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
760	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
761	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
762	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
763	C₂×#135	C₂²×C₁₉	1	2	yes	complemented
764	C₂×#135	C₂²×C₁₉	1	1	yes	characteristic, complemented
765	C₂²×Q₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
766	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
767	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
768	C₂²×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
769	C₂²×SD₁₆	C₂²×C₁₉	1	1	yes	characteristic, complemented
770	C₂²×D₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
771	C₂×#131	C₂²×C₁₉	1	1	yes	characteristic, complemented
772	C₂³×C₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
773	#550	C₂²×C₁₉	1	2	yes	complemented
774	D₄×Q₈	C₂²×C₁₉	1	2	yes	complemented
775	#548	C₂²×C₁₉	1	2	yes	—
776	#548	C₂²×C₁₉	1	2	yes	complemented
777	#547	—	2	2	no	—
778	#547	C₂²×C₁₉	1	2	yes	complemented
779	#546	—	2	2	no	—
780	#546	—	2	2	no	—
781	#546	C₂²×C₁₉	1	2	yes	complemented
782	#546	C₂²×C₁₉	1	2	yes	complemented
783	D₄²	—	2	2	no	—
784	D₄²	C₂²×C₁₉	1	2	yes	—
785	#537	—	2	1	no	—
786	#537	—	2	1	no	—
787	#537	C₂²×C₁₉	1	1	yes	characteristic, complemented
788	#537	C₂²×C₁₉	1	1	yes	characteristic, complemented
789	#536	—	2	1	no	—
790	#536	C₂²×C₁₉	1	1	yes	characteristic, complemented
791	#535	—	2	1	no	—
792	#535	C₂²×C₁₉	1	1	yes	characteristic, complemented
793	#525	—	2	1	no	—
794	#525	—	2	1	no	—
795	#525	C₂²×C₁₉	1	1	yes	characteristic
796	C₂×C₂²⋊Q₈	—	2	1	no	—
797	C₂×C₂²⋊Q₈	C₂²×C₁₉	1	1	yes	characteristic, complemented
798	C₂×#121	—	2	1	no	—
799	C₂×#121	C₂²×C₁₉	1	1	yes	characteristic
800	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
801	#520	C₂²×C₁₉	1	1	yes	characteristic, complemented
802	#497	C₂²×C₁₉	1	2	yes	complemented
803	#496	C₂²×C₁₉	1	2	yes	complemented
804	#495	C₂²×C₁₉	1	2	yes	complemented
805	#492	C₂²×C₁₉	1	2	yes	complemented
806	#470	C₂²×C₁₉	1	2	yes	complemented
807	#469	C₂²×C₁₉	1	2	yes	complemented
808	#465	C₂²×C₁₉	1	2	yes	complemented
809	#465	C₂²×C₁₉	1	2	yes	complemented
810	#465	C₂²×C₁₉	1	2	yes	complemented
811	#465	C₂²×C₁₉	1	2	yes	complemented
812	#465	C₂²×C₁₉	1	2	yes	complemented
813	#465	C₂²×C₁₉	1	2	yes	complemented
814	#464	C₂²×C₁₉	1	2	yes	complemented
815	#464	C₂²×C₁₉	1	2	yes	complemented
816	#463	C₂²×C₁₉	1	2	yes	complemented
817	#463	C₂²×C₁₉	1	2	yes	complemented
818	#462	C₂²×C₁₉	1	2	yes	complemented
819	#461	C₂²×C₁₉	1	2	yes	complemented
820	#460	C₂²×C₁₉	1	2	yes	complemented
821	#459	C₂²×C₁₉	1	2	yes	complemented
822	#452	C₂²×C₁₉	1	2	yes	complemented
823	#452	C₂²×C₁₉	1	2	yes	complemented
824	#452	C₂²×C₁₉	1	2	yes	complemented
825	#452	C₂²×C₁₉	1	2	yes	complemented
826	#451	C₂²×C₁₉	1	2	yes	complemented
827	#451	C₂²×C₁₉	1	2	yes	complemented
828	#450	C₂²×C₁₉	1	2	yes	complemented
829	#450	C₂²×C₁₉	1	2	yes	complemented
830	#449	C₂²×C₁₉	1	2	yes	complemented
831	#449	C₂²×C₁₉	1	2	yes	complemented
832	#449	C₂²×C₁₉	1	2	yes	complemented
833	#449	C₂²×C₁₉	1	2	yes	complemented
834	#448	C₂²×C₁₉	1	2	yes	complemented
835	#448	C₂²×C₁₉	1	2	yes	complemented
836	#447	C₂²×C₁₉	1	2	yes	complemented
837	#447	C₂²×C₁₉	1	2	yes	complemented
838	#442	C₂²×C₁₉	1	2	yes	complemented
839	#441	C₂²×C₁₉	1	2	yes	complemented
840	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
841	C₄×SD₁₆	C₂²×C₁₉	1	2	yes	complemented
842	#435	C₂²×C₁₉	1	2	yes	complemented
843	#435	C₂²×C₁₉	1	2	yes	complemented
844	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
845	C₈×D₄	C₂²×C₁₉	1	2	yes	complemented
846	C₂×#106	C₂²×C₁₉	1	1	yes	characteristic, complemented
847	#424	C₂²×C₁₉	1	1	yes	characteristic, complemented
848	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
849	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
850	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
851	#417	C₂²×C₁₉	1	1	yes	characteristic, complemented
852	C₂×#103	C₂²×C₁₉	1	1	yes	characteristic, complemented
853	C₂×#102	C₂²×C₁₉	1	1	yes	characteristic, complemented
854	#408	C₂²×C₁₉	1	1	yes	characteristic, complemented
855	#407	C₂²×C₁₉	1	1	yes	characteristic, complemented
856	#405	C₂²×C₁₉	1	1	yes	characteristic, complemented
857	C₂×C₁₉	—	2	2	no	—
858	C₂×C₁₉	—	2	2	no	—
859	C₂×C₁₉	—	4	1	no	—
860	C₂×C₁₉	—	4	2	no	—
861	C₂×C₁₉	—	4	2	no	—
862	C₂×C₁₉	—	4	2	no	—
863	C₂×C₁₉	—	8	1	no	—
864	C₂×C₁₉	—	8	1	no	—
865	C₂×C₁₉	—	8	2	no	—
866	C₂×C₁₉	C₂×D₄²	1	1	yes	characteristic
867	C₂×C₁₉	C₂×#577	1	1	yes	characteristic
868	C₂×C₁₉	#3584	1	1	yes	characteristic
869	2₋¹⁺⁴	—	2	4	no	—
870	2₋¹⁺⁴	—	4	2	no	—
871	H(5,𝔽₂)	—	2	4	no	—
872	H(5,𝔽₂)	—	4	2	no	—
873	C₂×#41	—	2	1	no	—
874	C₂×#41	—	2	1	no	—
875	C₂×#41	—	2	2	no	—
876	C₂×#41	—	2	1	no	—
877	C₂×#41	—	2	1	no	—
878	C₂×#41	—	2	1	no	—
879	C₂×#41	—	2	1	no	—
880	C₂×#41	—	2	4	no	—
881	C₂×#41	—	2	4	no	—
882	C₂×#41	—	4	2	no	—
883	C₂×#41	—	4	2	no	—
884	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
885	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
886	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
887	C₂×#41	C₂³×C₁₉	1	2	yes	—
888	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
889	C₂×#41	C₂³×C₁₉	1	2	yes	—
890	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
891	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
892	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
893	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
894	C₂×#41	C₂³×C₁₉	1	1	yes	characteristic
895	C₂²×Q₈	—	2	1	no	—
896	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
897	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
898	C₂²×Q₈	C₂³×C₁₉	1	2	yes	—
899	C₂²×Q₈	C₂³×C₁₉	1	1	yes	characteristic
900	C₂²×D₄	—	2	1	no	—
901	C₂²×D₄	—	2	1	no	—
902	C₂²×D₄	—	2	1	no	—
903	C₂²×D₄	—	2	1	no	—
904	C₂²×D₄	—	2	2	no	—
905	C₂²×D₄	—	2	2	no	—
906	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
907	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
908	C₂²×D₄	C₂³×C₁₉	1	2	yes	—
909	C₂²×D₄	C₂³×C₁₉	1	1	yes	characteristic
910	C₂³×C₄	—	2	1	no	—
911	C₂³×C₄	—	2	1	no	—
912	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
913	#137	—	2	4	no	—
914	#137	—	2	8	no	—
915	#137	—	4	2	no	—
916	AGL(1,ℤ/8)	—	2	4	no	—
917	AGL(1,ℤ/8)	—	2	8	no	—
918	AGL(1,ℤ/8)	—	4	2	no	—
919	#135	—	2	4	no	—
920	#135	—	2	4	no	—
921	#135	—	2	4	no	—
922	#135	—	2	4	no	—
923	#135	—	2	4	no	—
924	#135	—	2	8	no	—
925	#135	—	2	4	no	—
926	#135	—	2	4	no	—
927	#135	D₄×C₁₉	1	8	yes	complemented
928	C₂×Q₁₆	—	2	4	no	—
929	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
930	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
931	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
932	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
933	C₂×Q₁₆	C₂³×C₁₉	1	2	yes	—
934	C₂×Q₁₆	C₂³×C₁₉	1	1	yes	characteristic
935	C₂×SD₁₆	—	2	4	no	—
936	C₂×SD₁₆	—	2	4	no	—
937	C₂×SD₁₆	—	2	8	no	—
938	C₂×SD₁₆	—	2	4	no	—
939	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
940	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
941	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
942	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
943	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
944	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
945	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
946	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
947	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
948	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
949	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
950	C₂×SD₁₆	C₂³×C₁₉	1	2	yes	—
951	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
952	C₂×SD₁₆	C₂³×C₁₉	1	1	yes	characteristic
953	C₂×D₈	—	2	4	no	—
954	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
955	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
956	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
957	C₂×D₈	C₂³×C₁₉	1	2	yes	—
958	C₂×D₈	C₂³×C₁₉	1	2	yes	—
959	C₂×D₈	C₂³×C₁₉	1	1	yes	characteristic
960	#131	—	2	4	no	—
961	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
962	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
963	C₂×M₁₆	C₂³×C₁₉	1	1	yes	characteristic
964	C₂²×C₈	—	2	4	no	—
965	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
966	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
967	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
968	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
969	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
970	C₂²×C₈	C₂³×C₁₉	1	2	yes	—
971	C₂²×C₈	C₂³×C₁₉	1	1	yes	characteristic
972	C₄⋊Q₈	—	2	2	no	—
973	C₄⋊Q₈	C₂³×C₁₉	1	2	yes	—
974	#127	—	2	2	no	—
975	#127	C₂³×C₁₉	1	2	yes	—
976	#124	—	2	2	no	—
977	#124	—	2	2	no	—
978	#124	C₂³×C₁₉	1	2	yes	—
979	#124	C₂³×C₁₉	1	2	yes	—
980	#123	—	2	2	no	—
981	#123	—	2	2	no	—
982	#123	—	2	2	no	—
983	#123	—	2	2	no	—
984	#123	—	2	2	no	—
985	#123	D₄×C₁₉	1	2	yes	—
986	C₂²⋊Q₈	—	2	1	no	—
987	C₂²⋊Q₈	—	2	1	no	—
988	C₂²⋊Q₈	—	2	1	no	—
989	C₂²⋊Q₈	—	2	1	no	—
990	C₂²⋊Q₈	—	2	1	no	—
991	C₂²⋊Q₈	—	2	2	no	—
992	C₂²⋊Q₈	—	2	1	no	—
993	C₂²⋊Q₈	—	2	2	no	—
994	C₂²⋊Q₈	—	2	2	no	—
995	C₂²⋊Q₈	—	2	2	no	—
996	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
997	C₂²⋊Q₈	D₄×C₁₉	1	1	yes	characteristic
998	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
999	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1000	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1001	C₂²⋊Q₈	C₂³×C₁₉	1	2	yes	—
1002	#121	—	2	1	no	—
1003	#121	—	2	2	no	—
1004	#121	—	2	1	no	—
1005	#121	—	2	2	no	—
1006	#121	—	2	2	no	—
1007	#121	—	2	2	no	—
1008	#121	—	2	2	no	—
1009	#121	—	2	1	no	—
1010	#121	—	2	1	no	—
1011	#121	—	2	1	no	—
1012	#121	—	2	1	no	—
1013	#121	—	2	2	no	—
1014	#121	—	2	2	no	—
1015	#121	—	2	2	no	—
1016	#121	—	2	2	no	—
1017	#121	—	2	2	no	—
1018	#121	D₄×C₁₉	1	1	yes	characteristic
1019	#121	D₄×C₁₉	1	1	yes	characteristic
1020	#121	C₂³×C₁₉	1	2	yes	—
1021	#121	C₂³×C₁₉	1	2	yes	—
1022	#121	C₂³×C₁₉	1	2	yes	—
1023	#121	C₂³×C₁₉	1	2	yes	—
1024	#120	—	2	2	no	—
1025	#120	—	2	2	no	—
1026	#120	—	2	2	no	—
1027	#120	—	2	2	no	—
1028	#120	—	2	2	no	—
1029	#120	D₄×C₁₉	1	2	yes	—
1030	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1031	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
1032	C₄×D₄	—	2	2	no	—
1033	C₄×D₄	—	2	2	no	—
1034	C₄×D₄	—	2	2	no	—
1035	C₄×D₄	—	2	2	no	—
1036	C₄×D₄	—	2	2	no	—
1037	C₄×D₄	—	2	2	no	—
1038	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1039	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1040	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1041	C₄×D₄	C₂³×C₁₉	1	2	yes	—
1042	#117	—	2	1	no	—
1043	#117	—	2	1	no	—
1044	#117	C₂³×C₁₉	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	—	2	1	no	—
1046	C₂×C₄⋊C₄	—	2	1	no	—
1047	C₂×C₄⋊C₄	—	2	1	no	—
1048	C₂×C₄⋊C₄	—	2	2	no	—
1049	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₁₉	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	—	2	1	no	—
1052	C₂×C₂²⋊C₄	—	2	1	no	—
1053	C₂×C₂²⋊C₄	—	2	2	no	—
1054	C₂×C₂²⋊C₄	—	2	2	no	—
1055	#106	C₂³×C₁₉	1	2	yes	—
1056	#106	C₂³×C₁₉	1	2	yes	—
1057	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
1058	C₄⋊C₈	C₂³×C₁₉	1	2	yes	—
1059	#103	C₂³×C₁₉	1	2	yes	—
1060	#103	C₂³×C₁₉	1	2	yes	—
1061	#103	C₂³×C₁₉	1	2	yes	—
1062	#103	C₂³×C₁₉	1	2	yes	—
1063	#103	C₂³×C₁₉	1	2	yes	—
1064	#103	C₂³×C₁₉	1	2	yes	—
1065	#102	C₂³×C₁₉	1	2	yes	—
1066	#102	C₂³×C₁₉	1	2	yes	—
1067	#102	C₂³×C₁₉	1	2	yes	—
1068	#102	C₂³×C₁₉	1	2	yes	—
1069	#102	C₂³×C₁₉	1	2	yes	—
1070	#102	C₂³×C₁₉	1	2	yes	—
1071	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
1072	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
1073	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
1074	C₂²⋊C₈	C₂³×C₁₉	1	2	yes	—
1075	#97	C₂³×C₁₉	1	2	yes	—
1076	C₄×C₈	C₂³×C₁₉	1	2	yes	—
1077	C₁₉	#61055	1	1	yes	characteristic, direct product factor, Sylow
1078	C₂⁴	—	2	1	no	—
1079	C₂⁴	—	2	1	no	—
1080	C₂⁴	—	2	2	no	—
1081	C₂⁴	—	2	1	no	—
1082	C₂⁴	C₂×D₄×C₁₉	1	1	yes	characteristic
1083	#41	—	2	2	no	—
1084	#41	—	2	2	no	—
1085	#41	—	2	2	no	—
1086	#41	—	2	2	no	—
1087	#41	—	2	2	no	—
1088	#41	—	2	2	no	—
1089	#41	—	2	4	no	—
1090	#41	—	2	2	no	—
1091	#41	—	2	2	no	—
1092	#41	—	2	4	no	—
1093	#41	—	2	2	no	—
1094	#41	—	2	2	no	—
1095	#41	—	2	2	no	—
1096	#41	—	2	2	no	—
1097	#41	—	4	4	no	—
1098	#41	—	4	4	no	—
1099	#41	—	4	1	no	—
1100	#41	—	4	1	no	—
1101	#41	—	4	1	no	—
1102	#41	—	4	1	no	—
1103	#41	—	4	2	no	—
1104	#41	—	4	2	no	—
1105	#41	—	4	4	no	—
1106	#41	—	4	4	no	—
1107	#41	—	4	4	no	—
1108	#41	—	4	4	no	—
1109	#41	—	4	8	no	—
1110	#41	C₂×D₄×C₁₉	1	4	yes	—
1111	#41	C₂×D₄×C₁₉	1	4	yes	complemented
1112	C₂×Q₈	—	2	1	no	—
1113	C₂×Q₈	—	2	1	no	—
1114	C₂×Q₈	—	2	2	no	—
1115	C₂×Q₈	—	2	1	no	—
1116	C₂×Q₈	—	2	2	no	—
1117	C₂×Q₈	—	2	2	no	—
1118	C₂×Q₈	—	2	4	no	—
1119	C₂×Q₈	—	2	2	no	—
1120	C₂×Q₈	—	2	2	no	—
1121	C₂×Q₈	—	4	1	no	—
1122	C₂×Q₈	—	4	1	no	—
1123	C₂×Q₈	—	4	2	no	—
1124	C₂×Q₈	—	4	4	no	—
1125	C₂×Q₈	C₂×D₄×C₁₉	1	1	yes	characteristic
1126	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1127	C₂×Q₈	C₂⁴×C₁₉	1	2	yes	—
1128	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1129	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1130	C₂×Q₈	C₂⁴×C₁₉	1	1	yes	characteristic
1131	C₂×D₄	—	2	1	no	—
1132	C₂×D₄	—	2	1	no	—
1133	C₂×D₄	—	2	2	no	—
1134	C₂×D₄	—	2	2	no	—
1135	C₂×D₄	—	2	4	no	—
1136	C₂×D₄	—	2	2	no	—
1137	C₂×D₄	—	2	1	no	—
1138	C₂×D₄	—	2	1	no	—
1139	C₂×D₄	—	2	2	no	—
1140	C₂×D₄	—	2	1	no	—
1141	C₂×D₄	—	2	1	no	—
1142	C₂×D₄	—	2	1	no	—
1143	C₂×D₄	—	2	2	no	—
1144	C₂×D₄	—	2	1	no	—
1145	C₂×D₄	—	2	2	no	—
1146	C₂×D₄	—	2	2	no	—
1147	C₂×D₄	—	2	2	no	—
1148	C₂×D₄	—	2	2	no	—
1149	C₂×D₄	—	2	1	no	—
1150	C₂×D₄	—	2	2	no	—
1151	C₂×D₄	—	2	1	no	—
1152	C₂×D₄	—	2	1	no	—
1153	C₂×D₄	—	2	2	no	—
1154	C₂×D₄	—	2	2	no	—
1155	C₂×D₄	—	2	2	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	2	no	—
1159	C₂×D₄	—	4	4	no	—
1160	C₂×D₄	—	4	8	no	—
1161	C₂×D₄	—	4	4	no	—
1162	C₂×D₄	—	4	4	no	—
1163	C₂×D₄	—	8	4	no	—
1164	C₂×D₄	—	8	2	no	—
1165	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
1166	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
1167	C₂×D₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1168	C₂×D₄	C₂×D₄×C₁₉	1	2	yes	—
1169	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1170	C₂×D₄	C₂⁴×C₁₉	1	2	yes	—
1171	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1172	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1173	C₂×D₄	C₂⁴×C₁₉	1	1	yes	characteristic
1174	C₂²×C₄	—	2	1	no	—
1175	C₂²×C₄	—	2	1	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	1	no	—
1179	C₂²×C₄	—	2	1	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	1	no	—
1182	C₂²×C₄	—	2	1	no	—
1183	C₂²×C₄	—	2	1	no	—
1184	C₂²×C₄	—	2	1	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	1	no	—
1187	C₂²×C₄	—	2	1	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	2	1	no	—
1190	C₂²×C₄	—	2	1	no	—
1191	C₂²×C₄	—	2	1	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	4	4	no	—
1195	C₂²×C₄	—	4	4	no	—
1196	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1197	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1198	C₂²×C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₁₉	1	2	yes	—
1202	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
1203	Q₁₆	—	2	2	no	—
1204	Q₁₆	—	2	2	no	—
1205	Q₁₆	—	2	4	no	—
1206	Q₁₆	—	2	2	no	—
1207	Q₁₆	—	4	2	no	—
1208	Q₁₆	C₂×D₄×C₁₉	1	4	yes	complemented
1209	SD₁₆	—	2	2	no	—
1210	SD₁₆	—	2	2	no	—
1211	SD₁₆	—	2	4	no	—
1212	SD₁₆	—	2	2	no	—
1213	SD₁₆	—	2	2	no	—
1214	SD₁₆	—	2	4	no	—
1215	SD₁₆	—	2	4	no	—
1216	SD₁₆	—	2	2	no	—
1217	SD₁₆	—	2	2	no	—
1218	SD₁₆	—	2	4	no	—
1219	SD₁₆	—	4	2	no	—
1220	SD₁₆	—	4	2	no	—
1221	SD₁₆	C₂×D₄×C₁₉	1	4	yes	complemented
1222	SD₁₆	C₂×D₄×C₁₉	1	4	yes	complemented
1223	D₈	—	2	2	no	—
1224	D₈	—	2	2	no	—
1225	D₈	—	2	4	no	—
1226	D₈	—	2	2	no	—
1227	D₈	—	4	2	no	—
1228	D₈	C₂×D₄×C₁₉	1	4	yes	complemented
1229	M₁₆	—	2	2	no	—
1230	M₁₆	—	2	2	no	—
1231	M₁₆	—	2	4	no	—
1232	C₂×C₈	—	2	2	no	—
1233	C₂×C₈	—	2	2	no	—
1234	C₂×C₈	—	2	2	no	—
1235	C₂×C₈	—	2	2	no	—
1236	C₂×C₈	—	2	2	no	—
1237	C₂×C₈	—	2	4	no	—
1238	C₂×C₈	C₂×D₄×C₁₉	1	4	yes	complemented
1239	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1240	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1241	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1242	C₂×C₈	C₂⁴×C₁₉	1	2	yes	—
1243	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1244	C₂×C₈	C₂⁴×C₁₉	1	1	yes	characteristic
1245	C₄⋊C₄	—	2	2	no	—
1246	C₄⋊C₄	—	2	1	no	—
1247	C₄⋊C₄	—	2	1	no	—
1248	C₄⋊C₄	—	2	2	no	—
1249	C₄⋊C₄	—	2	2	no	—
1250	C₄⋊C₄	—	2	2	no	—
1251	C₄⋊C₄	—	2	2	no	—
1252	C₄⋊C₄	—	2	2	no	—
1253	C₄⋊C₄	—	2	2	no	—
1254	C₄⋊C₄	—	2	2	no	—
1255	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1256	C₄⋊C₄	C₂×D₄×C₁₉	1	1	yes	characteristic
1257	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1258	C₄⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1259	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1260	C₄⋊C₄	C₂⁴×C₁₉	1	2	yes	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	2	2	no	—
1270	C₂²⋊C₄	—	2	2	no	—
1271	C₂²⋊C₄	—	2	2	no	—
1272	C₂²⋊C₄	—	2	2	no	—
1273	C₂²⋊C₄	—	2	2	no	—
1274	C₂²⋊C₄	—	2	2	no	—
1275	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1276	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1277	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1278	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1279	C₂²⋊C₄	C₂×D₄×C₁₉	1	2	yes	—
1280	C₄²	—	2	2	no	—
1281	C₄²	—	2	2	no	—
1282	C₄²	C₂⁴×C₁₉	1	2	yes	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	2	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	4	1	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	2	no	—
1293	C₂³	—	4	4	no	—
1294	C₂³	—	4	2	no	—
1295	C₂³	—	4	2	no	—
1296	C₂³	—	4	2	no	—
1297	C₂³	—	8	1	no	—
1298	C₂³	—	8	1	no	—
1299	C₂³	—	8	1	no	—
1300	C₂³	—	8	2	no	—
1301	C₂³	—	8	1	no	—
1302	C₂³	—	8	2	no	—
1303	C₂³	C₂²×D₄×C₁₉	1	2	yes	—
1304	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1305	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1306	C₂³	C₂²×D₄×C₁₉	1	1	yes	characteristic
1307	Q₈	—	2	2	no	—
1308	Q₈	—	2	1	no	—
1309	Q₈	—	2	1	no	—
1310	Q₈	—	2	2	no	—
1311	Q₈	—	2	1	no	—
1312	Q₈	—	2	1	no	—
1313	Q₈	—	2	1	no	—
1314	Q₈	—	2	2	no	—
1315	Q₈	—	2	1	no	—
1316	Q₈	—	4	4	no	—
1317	Q₈	—	4	2	no	—
1318	Q₈	—	4	2	no	—
1319	Q₈	—	4	2	no	—
1320	Q₈	C₂²×D₄×C₁₉	1	2	yes	—
1321	Q₈	C₂²×D₄×C₁₉	1	2	yes	—
1322	D₄	—	2	4	no	—
1323	D₄	—	2	4	no	—
1324	D₄	—	2	4	no	—
1325	D₄	—	2	4	no	—
1326	D₄	—	2	2	no	—
1327	D₄	—	2	1	no	—
1328	D₄	—	2	1	no	—
1329	D₄	—	2	2	no	—
1330	D₄	—	2	1	no	—
1331	D₄	—	2	1	no	—
1332	D₄	—	2	1	no	—
1333	D₄	—	2	2	no	—
1334	D₄	—	2	1	no	—
1335	D₄	—	4	2	no	—
1336	D₄	—	4	4	no	—
1337	D₄	—	4	2	no	—
1338	D₄	—	4	2	no	—
1339	D₄	—	4	4	no	—
1340	D₄	—	4	2	no	—
1341	D₄	—	4	2	no	—
1342	D₄	—	4	2	no	—
1343	D₄	—	4	2	no	—
1344	D₄	—	4	4	no	—
1345	D₄	—	4	2	no	—
1346	D₄	—	4	2	no	—
1347	D₄	—	4	4	no	—
1348	D₄	—	4	2	no	—
1349	D₄	—	8	2	no	—
1350	D₄	—	8	2	no	—
1351	D₄	—	8	2	no	—
1352	D₄	—	8	2	no	—
1353	D₄	—	8	2	no	—
1354	D₄	C₂²×D₄×C₁₉	1	2	yes	—
1355	D₄	C₂²×D₄×C₁₉	1	2	yes	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	2	2	no	—
1360	C₂×C₄	—	2	2	no	—
1361	C₂×C₄	—	2	4	no	—
1362	C₂×C₄	—	2	4	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	2	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	2	no	—
1369	C₂×C₄	—	2	2	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	4	2	no	—
1375	C₂×C₄	—	4	2	no	—
1376	C₂×C₄	—	4	4	no	—
1377	C₂×C₄	—	4	2	no	—
1378	C₂×C₄	—	4	2	no	—
1379	C₂×C₄	—	4	2	no	—
1380	C₂×C₄	—	4	2	no	—
1381	C₂×C₄	—	4	4	no	—
1382	C₂×C₄	—	4	4	no	—
1383	C₂×C₄	—	4	2	no	—
1384	C₂×C₄	—	4	2	no	—
1385	C₂×C₄	—	4	2	no	—
1386	C₂×C₄	—	8	2	no	—
1387	C₂×C₄	—	8	2	no	—
1388	C₂×C₄	—	8	1	no	—
1389	C₂×C₄	—	8	1	no	—
1390	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1391	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1392	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1393	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1394	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1395	C₂×C₄	C₂²×D₄×C₁₉	1	1	yes	characteristic
1396	C₂×C₄	C₂²×D₄×C₁₉	1	2	yes	—
1397	C₂×C₄	C₁₉×H(5,𝔽₂)	1	2	yes	—
1398	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
1399	C₈	—	2	1	no	—
1400	C₈	—	2	1	no	—
1401	C₈	—	2	2	no	—
1402	C₈	—	2	2	no	—
1403	C₈	C₂²×D₄×C₁₉	1	2	yes	—
1404	C₈	C₂²×D₄×C₁₉	1	2	yes	—
1405	C₂²	—	2	1	no	—
1406	C₂²	—	2	1	no	—
1407	C₂²	—	2	1	no	—
1408	C₂²	—	2	1	no	—
1409	C₂²	—	2	1	no	—
1410	C₂²	—	2	2	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	2	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	1	no	—
1415	C₂²	—	2	1	no	—
1416	C₂²	—	2	2	no	—
1417	C₂²	—	4	4	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	1	no	—
1420	C₂²	—	4	1	no	—
1421	C₂²	—	4	1	no	—
1422	C₂²	—	4	1	no	—
1423	C₂²	—	4	1	no	—
1424	C₂²	—	4	2	no	—
1425	C₂²	—	4	2	no	—
1426	C₂²	—	4	1	no	—
1427	C₂²	—	4	1	no	—
1428	C₂²	—	4	1	no	—
1429	C₂²	—	4	1	no	—
1430	C₂²	—	4	2	no	—
1431	C₂²	—	8	4	no	—
1432	C₂²	—	8	4	no	—
1433	C₂²	—	16	2	no	—
1434	C₂²	—	16	4	no	—
1435	C₂²	D₄²×C₁₉	1	2	yes	—
1436	C₂²	C₁₉×#577	1	2	yes	complemented
1437	C₂²	C₂³×D₄×C₁₉	1	1	yes	characteristic
1438	C₄	—	2	1	no	—
1439	C₄	—	2	1	no	—
1440	C₄	—	2	2	no	—
1441	C₄	—	2	2	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	2	no	—
1444	C₄	—	2	2	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	2	no	—
1448	C₄	—	4	2	no	—
1449	C₄	—	4	2	no	—
1450	C₄	D₄²×C₁₉	1	2	yes	—
1451	C₄	C₂³×D₄×C₁₉	1	1	yes	characteristic
1452	C₄	C₂×C₁₉×H(5,𝔽₂)	1	1	yes	characteristic
1453	C₂	—	2	2	no	—
1454	C₂	—	2	2	no	—
1455	C₂	—	4	1	no	—
1456	C₂	—	4	2	no	—
1457	C₂	—	4	2	no	—
1458	C₂	—	4	2	no	—
1459	C₂	—	8	1	no	—
1460	C₂	—	8	1	no	—
1461	C₂	—	8	2	no	—
1462	C₂	C₂×D₄²×C₁₉	1	1	yes	characteristic
1463	C₂	C₂×C₁₉×#577	1	1	yes	characteristic
1464	C₂	C₁₉×#3584	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₉×#577	C₂	semidirect
2. C₂²×C₁₉×#135	C₂	semidirect
3. C₁₉×#3489	C₂	semidirect
4. C₁₉×#3488	C₂	semidirect
5. C₁₉×#3284	C₂	semidirect
6. C₁₉×#3282	C₂	semidirect
7. C₁₉×#3282	C₂	semidirect
8. D₄×SD₁₆×C₁₉	C₂	semidirect
9. C₁₉×#3271	C₂	semidirect
10. C₁₉×#3270	C₂	semidirect
11. C₁₉×#3267	C₂	semidirect
12. C₁₉×#3264	C₂	semidirect
13. C₁₉×#3154	C₂	semidirect
14. C₁₉×#3060	C₂	semidirect
15. C₂×C₁₉×#465	C₂	semidirect
16. C₁₉×#3046	C₂	semidirect
17. C₁₉×#3045	C₂	semidirect
18. C₁₉×#3013	C₂	semidirect
19. C₁₉×#3012	C₂	semidirect
20. C₁₉×#3007	C₂	semidirect
21. C₁₉×#3006	C₂	semidirect
22. C₁₉×#2952	C₂	semidirect
23. C₁₉×#2929	C₂	semidirect
24. C₂×C₁₉×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₁₉×H(5,𝔽₂)	C₂²	semidirect
27. C₂²×#41×C₁₉	C₂²	semidirect
29. C₂×C₁₉×#137	C₂²	semidirect
30. C₂×C₁₉×#137	C₂²	semidirect
31. C₂×C₁₉×#137	C₂²	semidirect
32. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
33. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
34. C₂×C₁₉×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₁₉×#135	C₂²	semidirect
39. C₂×C₁₉×#135	C₂²	semidirect
40. C₂×C₁₉×#135	C₂²	semidirect
41. C₂×C₁₉×#135	C₂²	semidirect
42. C₂×C₁₉×#135	C₂²	semidirect
43. C₂×C₁₉×#135	C₂²	semidirect
44. C₂×C₁₉×#135	C₂²	semidirect
45. C₂²×Q₁₆×C₁₉	C₂²	semidirect
46. C₂²×SD₁₆×C₁₉	C₂²	semidirect
47. C₂²×SD₁₆×C₁₉	C₂²	semidirect
48. C₂²×SD₁₆×C₁₉	C₂²	semidirect
49. C₂²×SD₁₆×C₁₉	C₂²	semidirect
50. C₂²×D₈×C₁₉	C₂²	semidirect
51. C₂×C₁₉×#131	C₂²	semidirect
52. C₂³×C₈×C₁₉	C₂²	semidirect
53. C₁₉×#550	C₂²	semidirect
54. D₄×Q₈×C₁₉	C₂²	semidirect
56. C₁₉×#548	C₂²	semidirect
58. C₁₉×#547	C₂²	semidirect
61. C₁₉×#546	C₂²	semidirect
62. C₁₉×#546	C₂²	semidirect
67. C₁₉×#537	C₂²	semidirect
68. C₁₉×#537	C₂²	semidirect
70. C₁₉×#536	C₂²	semidirect
72. C₁₉×#535	C₂²	semidirect
77. C₂×C₁₉×C₂²⋊Q₈	C₂²	semidirect
80. C₁₉×#520	C₂²	semidirect
81. C₁₉×#520	C₂²	semidirect
82. C₁₉×#497	C₂²	semidirect
83. C₁₉×#496	C₂²	semidirect
84. C₁₉×#495	C₂²	semidirect
85. C₁₉×#492	C₂²	semidirect
86. C₁₉×#470	C₂²	semidirect
87. C₁₉×#469	C₂²	semidirect
88. C₁₉×#465	C₂²	semidirect
89. C₁₉×#465	C₂²	semidirect
90. C₁₉×#465	C₂²	semidirect
91. C₁₉×#465	C₂²	semidirect
92. C₁₉×#465	C₂²	semidirect
93. C₁₉×#465	C₂²	semidirect
94. C₁₉×#464	C₂²	semidirect
95. C₁₉×#464	C₂²	semidirect
96. C₁₉×#463	C₂²	semidirect
97. C₁₉×#463	C₂²	semidirect
98. C₁₉×#462	C₂²	semidirect
99. C₁₉×#461	C₂²	semidirect
100. C₁₉×#460	C₂²	semidirect
101. C₁₉×#459	C₂²	semidirect
102. C₁₉×#452	C₂²	semidirect
103. C₁₉×#452	C₂²	semidirect
104. C₁₉×#452	C₂²	semidirect
105. C₁₉×#452	C₂²	semidirect
106. C₁₉×#451	C₂²	semidirect
107. C₁₉×#451	C₂²	semidirect
108. C₁₉×#450	C₂²	semidirect
109. C₁₉×#450	C₂²	semidirect
110. C₁₉×#449	C₂²	semidirect
111. C₁₉×#449	C₂²	semidirect
112. C₁₉×#449	C₂²	semidirect
113. C₁₉×#449	C₂²	semidirect
114. C₁₉×#448	C₂²	semidirect
115. C₁₉×#448	C₂²	semidirect
116. C₁₉×#447	C₂²	semidirect
117. C₁₉×#447	C₂²	semidirect
118. C₁₉×#442	C₂²	semidirect
119. C₁₉×#441	C₂²	semidirect
120. C₄×SD₁₆×C₁₉	C₂²	semidirect
121. C₄×SD₁₆×C₁₉	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. C₂×C₁₉×#106	C₂²	semidirect
127. C₁₉×#424	C₂²	semidirect
128. C₁₉×#417	C₂²	semidirect
129. C₁₉×#417	C₂²	semidirect
130. C₁₉×#417	C₂²	semidirect
131. C₁₉×#417	C₂²	semidirect
132. C₂×C₁₉×#103	C₂²	semidirect
133. C₂×C₁₉×#102	C₂²	semidirect
134. C₁₉×#408	C₂²	semidirect
135. C₁₉×#407	C₂²	semidirect
136. C₁₉×#405	C₂²	semidirect
195. C₁₉×#135	D₄	semidirect
378. #41×C₁₉	C₂×D₄	semidirect
475. Q₁₆×C₁₉	C₂×D₄	semidirect
488. SD₁₆×C₁₉	C₂×D₄	semidirect
489. SD₁₆×C₁₉	C₂×D₄	semidirect
495. D₈×C₁₉	C₂×D₄	semidirect
505. C₂×C₈×C₁₉	C₂×D₄	semidirect
550. #61055	C₁₉	direct (N × H)
673. C₂×#577	C₂×C₁₉	semidirect
674. C₂²×#135	C₂×C₁₉	semidirect
675. #3489	C₂×C₁₉	semidirect
676. #3488	C₂×C₁₉	semidirect
677. #3284	C₂×C₁₉	semidirect
678. #3282	C₂×C₁₉	semidirect
679. #3282	C₂×C₁₉	semidirect
680. D₄×SD₁₆	C₂×C₁₉	semidirect
681. #3271	C₂×C₁₉	semidirect
682. #3270	C₂×C₁₉	semidirect
683. #3267	C₂×C₁₉	semidirect
684. #3264	C₂×C₁₉	semidirect
685. #3154	C₂×C₁₉	semidirect
686. #3060	C₂×C₁₉	semidirect
687. C₂×#465	C₂×C₁₉	semidirect
688. #3046	C₂×C₁₉	semidirect
689. #3045	C₂×C₁₉	semidirect
690. #3013	C₂×C₁₉	semidirect
691. #3012	C₂×C₁₉	semidirect
692. #3007	C₂×C₁₉	semidirect
693. #3006	C₂×C₁₉	semidirect
694. #2952	C₂×C₁₉	semidirect
695. #2929	C₂×C₁₉	semidirect
727. C₂²×C₁₉	#577	semidirect
744. C₂×2₋¹⁺⁴	C₂²×C₁₉	semidirect
745. C₂×H(5,𝔽₂)	C₂²×C₁₉	semidirect
747. C₂²×#41	C₂²×C₁₉	semidirect
749. C₂×#137	C₂²×C₁₉	semidirect
750. C₂×#137	C₂²×C₁₉	semidirect
751. C₂×#137	C₂²×C₁₉	semidirect
752. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
753. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
754. C₂×AGL(1,ℤ/8)	C₂²×C₁₉	semidirect
758. C₂×#135	C₂²×C₁₉	semidirect
759. C₂×#135	C₂²×C₁₉	semidirect
760. C₂×#135	C₂²×C₁₉	semidirect
761. C₂×#135	C₂²×C₁₉	semidirect
762. C₂×#135	C₂²×C₁₉	semidirect
763. C₂×#135	C₂²×C₁₉	semidirect
764. C₂×#135	C₂²×C₁₉	semidirect
765. C₂²×Q₁₆	C₂²×C₁₉	semidirect
766. C₂²×SD₁₆	C₂²×C₁₉	semidirect
767. C₂²×SD₁₆	C₂²×C₁₉	semidirect
768. C₂²×SD₁₆	C₂²×C₁₉	semidirect
769. C₂²×SD₁₆	C₂²×C₁₉	semidirect
770. C₂²×D₈	C₂²×C₁₉	semidirect
771. C₂×#131	C₂²×C₁₉	semidirect
772. C₂³×C₈	C₂²×C₁₉	semidirect
773. #550	C₂²×C₁₉	semidirect
774. D₄×Q₈	C₂²×C₁₉	semidirect
776. #548	C₂²×C₁₉	semidirect
778. #547	C₂²×C₁₉	semidirect
781. #546	C₂²×C₁₉	semidirect
782. #546	C₂²×C₁₉	semidirect
787. #537	C₂²×C₁₉	semidirect
788. #537	C₂²×C₁₉	semidirect
790. #536	C₂²×C₁₉	semidirect
792. #535	C₂²×C₁₉	semidirect
797. C₂×C₂²⋊Q₈	C₂²×C₁₉	semidirect
800. #520	C₂²×C₁₉	semidirect
801. #520	C₂²×C₁₉	semidirect
802. #497	C₂²×C₁₉	semidirect
803. #496	C₂²×C₁₉	semidirect
804. #495	C₂²×C₁₉	semidirect
805. #492	C₂²×C₁₉	semidirect
806. #470	C₂²×C₁₉	semidirect
807. #469	C₂²×C₁₉	semidirect
808. #465	C₂²×C₁₉	semidirect
809. #465	C₂²×C₁₉	semidirect
810. #465	C₂²×C₁₉	semidirect
811. #465	C₂²×C₁₉	semidirect
812. #465	C₂²×C₁₉	semidirect
813. #465	C₂²×C₁₉	semidirect
814. #464	C₂²×C₁₉	semidirect
815. #464	C₂²×C₁₉	semidirect
816. #463	C₂²×C₁₉	semidirect
817. #463	C₂²×C₁₉	semidirect
818. #462	C₂²×C₁₉	semidirect
819. #461	C₂²×C₁₉	semidirect
820. #460	C₂²×C₁₉	semidirect
821. #459	C₂²×C₁₉	semidirect
822. #452	C₂²×C₁₉	semidirect
823. #452	C₂²×C₁₉	semidirect
824. #452	C₂²×C₁₉	semidirect
825. #452	C₂²×C₁₉	semidirect
826. #451	C₂²×C₁₉	semidirect
827. #451	C₂²×C₁₉	semidirect
828. #450	C₂²×C₁₉	semidirect
829. #450	C₂²×C₁₉	semidirect
830. #449	C₂²×C₁₉	semidirect
831. #449	C₂²×C₁₉	semidirect
832. #449	C₂²×C₁₉	semidirect
833. #449	C₂²×C₁₉	semidirect
834. #448	C₂²×C₁₉	semidirect
835. #448	C₂²×C₁₉	semidirect
836. #447	C₂²×C₁₉	semidirect
837. #447	C₂²×C₁₉	semidirect
838. #442	C₂²×C₁₉	semidirect
839. #441	C₂²×C₁₉	semidirect
840. C₄×SD₁₆	C₂²×C₁₉	semidirect
841. C₄×SD₁₆	C₂²×C₁₉	semidirect
842. #435	C₂²×C₁₉	semidirect
843. #435	C₂²×C₁₉	semidirect
844. C₈×D₄	C₂²×C₁₉	semidirect
845. C₈×D₄	C₂²×C₁₉	semidirect
846. C₂×#106	C₂²×C₁₉	semidirect
847. #424	C₂²×C₁₉	semidirect
848. #417	C₂²×C₁₉	semidirect
849. #417	C₂²×C₁₉	semidirect
850. #417	C₂²×C₁₉	semidirect
851. #417	C₂²×C₁₉	semidirect
852. C₂×#103	C₂²×C₁₉	semidirect
853. C₂×#102	C₂²×C₁₉	semidirect
854. #408	C₂²×C₁₉	semidirect
855. #407	C₂²×C₁₉	semidirect
856. #405	C₂²×C₁₉	semidirect
927. #135	D₄×C₁₉	semidirect
1077. C₁₉	#61055	direct (N × H)
1111. #41	C₂×D₄×C₁₉	semidirect
1208. Q₁₆	C₂×D₄×C₁₉	semidirect
1221. SD₁₆	C₂×D₄×C₁₉	semidirect
1222. SD₁₆	C₂×D₄×C₁₉	semidirect
1228. D₈	C₂×D₄×C₁₉	semidirect
1238. C₂×C₈	C₂×D₄×C₁₉	semidirect
1436. C₂²	C₁₉×#577	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₉×#577	2
C₂²×C₁₉×#135	2
C₁₉×#3489	2
C₁₉×#3488	2
C₁₉×#3284	2
C₁₉×#3282	2
D₄×SD₁₆×C₁₉	2
C₁₉×#3271	2
C₁₉×#3270	2
C₁₉×#3267	2
C₁₉×#3264	2
C₁₉×#3154	2
C₁₉×#3060	2
C₂×C₁₉×#465	2
C₁₉×#3046	2
C₁₉×#3045	2
C₁₉×#3013	2
C₁₉×#3012	2
C₁₉×#3007	2
C₁₉×#3006	2
C₁₉×#2952	2
C₁₉×#2929	2
#61055	19

Subgroups — C19×#61055 #18067014

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#61055 #18067014