Subgroups — #18088103

Order 4864.

1802 conjugacy classes of subgroups.

The subgroup lattice has 892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×D₄×Dic₁₉	C₂	1	1	yes	maximal, characteristic
2	C₂²×#10597289	C₂	1	1	yes	maximal, characteristic
3	C₂×#11926307	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11926306	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11926298	C₂	1	1	yes	maximal, characteristic, complemented
6	#14561864	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×C₁₉×#102	C₂	1	1	yes	maximal, characteristic
8	C₂⁴×Dic₁₉	—	2	1	no	—
9	C₂³×C₁₉⋊C₈	C₂²	1	1	yes	characteristic
10	C₂×D₄×Dic₁₉	—	2	2	no	—
11	C₂×D₄×Dic₁₉	—	2	2	no	—
12	C₂×D₄×Dic₁₉	—	2	2	no	—
13	C₂×D₄×Dic₁₉	—	2	2	no	—
14	C₂×D₄×Dic₁₉	—	2	2	no	—
15	C₂×D₄×Dic₁₉	C₄	1	4	yes	complemented
16	C₂²×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
17	C₂²×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
18	C₂²×C₂²⋊Dic₁₉	—	2	1	no	—
19	C₂²×C₄×Dic₁₉	C₂²	1	1	yes	characteristic
20	C₂×#10597289	—	2	2	no	—
21	C₂×#10597289	—	2	2	no	—
22	C₂×#10597289	C₄	1	4	yes	complemented
23	C₂×C₁₉⋊#95	—	2	1	no	—
24	C₂×C₁₉⋊#95	—	2	1	no	—
25	#11926307	—	2	2	no	—
26	#11926306	—	2	2	no	—
27	#11926298	—	2	2	no	—
28	C₂³×D₄×C₁₉	C₂²	1	1	yes	characteristic
29	C₂³×C₈×C₁₉	C₂²	1	1	yes	characteristic
30	C₂²×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
31	C₂×C₁₉×#102	—	2	2	no	—
32	C₂×C₁₉×#102	—	2	2	no	—
33	C₂×C₁₉×#102	C₄	1	4	yes	complemented
34	C₂⁵×C₁₉	—	2	1	no	—
35	C₂²×D₄×C₁₉	—	2	1	no	—
36	C₂²×D₄×C₁₉	—	2	1	no	—
37	C₂²×D₄×C₁₉	—	2	1	no	—
38	C₂²×D₄×C₁₉	—	2	1	no	—
39	C₂²×D₄×C₁₉	—	2	1	no	—
40	C₂²×D₄×C₁₉	—	2	1	no	—
41	C₂²×D₄×C₁₉	—	2	1	no	—
42	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
43	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
44	C₂²×D₄×C₁₉	C₂×C₄	1	2	yes	—
45	C₂²×D₄×C₁₉	D₄	1	2	yes	—
46	C₂²×D₄×C₁₉	D₄	1	2	yes	—
47	C₂²×D₄×C₁₉	D₄	1	2	yes	—
48	C₂²×D₄×C₁₉	Q₈	1	2	yes	—
49	C₂³×C₄×C₁₉	—	2	1	no	—
50	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
51	C₂³×Dic₁₉	—	2	4	no	—
52	C₂³×Dic₁₉	—	2	4	no	—
53	C₂³×Dic₁₉	—	2	1	no	—
54	C₂³×Dic₁₉	—	2	4	no	—
55	C₂³×Dic₁₉	—	2	1	no	—
56	C₂³×Dic₁₉	—	4	2	no	—
57	C₂³×Dic₁₉	—	4	2	no	—
58	C₂³×Dic₁₉	—	4	2	no	—
59	C₂³×Dic₁₉	—	4	2	no	—
60	C₂³×Dic₁₉	D₄	1	1	yes	characteristic
61	C₂³×Dic₁₉	D₄	1	1	yes	characteristic
62	C₂²×C₈×C₁₉	—	2	1	no	—
63	C₂²×C₈×C₁₉	—	2	1	no	—
64	C₂²×C₈×C₁₉	—	2	1	no	—
65	C₂²×C₈×C₁₉	—	2	1	no	—
66	C₂²×C₈×C₁₉	—	2	1	no	—
67	C₂²×C₈×C₁₉	—	2	1	no	—
68	C₂²×C₈×C₁₉	C₂×C₄	1	2	yes	complemented
69	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
70	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
71	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
72	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
73	C₂×C₄⋊C₄×C₁₉	—	2	1	no	—
74	C₂×C₄⋊C₄×C₁₉	C₂×C₄	1	2	yes	complemented
75	C₂×C₂²⋊Dic₁₉	—	2	4	no	—
76	C₂×C₂²⋊Dic₁₉	—	2	4	no	—
77	C₂×C₂²⋊Dic₁₉	—	2	4	no	—
78	D₄×Dic₁₉	—	2	8	no	—
79	D₄×Dic₁₉	—	2	8	no	—
80	D₄×Dic₁₉	—	2	8	no	—
81	D₄×Dic₁₉	—	2	8	no	—
82	C₂×C₄⋊Dic₁₉	—	2	1	no	—
83	C₂×C₄⋊Dic₁₉	—	2	1	no	—
84	C₂×C₄⋊Dic₁₉	—	2	1	no	—
85	C₂×C₄⋊Dic₁₉	—	2	1	no	—
86	C₂×C₄⋊Dic₁₉	—	2	1	no	—
87	C₂×C₄⋊Dic₁₉	—	2	1	no	—
88	C₂×C₄⋊Dic₁₉	—	2	1	no	—
89	C₂×C₄⋊Dic₁₉	—	2	1	no	—
90	C₂×C₄⋊Dic₁₉	C₂×C₄	1	2	yes	—
91	C₂×C₄⋊Dic₁₉	C₂×C₄	1	2	yes	complemented
92	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
93	C₂×C₄⋊Dic₁₉	D₄	1	2	yes	—
94	C₂×C₄×Dic₁₉	—	2	1	no	—
95	C₂×C₄×Dic₁₉	—	2	1	no	—
96	C₂×C₄×Dic₁₉	—	2	1	no	—
97	C₂×C₄×Dic₁₉	—	2	1	no	—
98	C₂×C₄×Dic₁₉	C₂×C₄	1	2	yes	—
99	C₂×C₄×Dic₁₉	D₄	1	2	yes	—
100	C₂²×C₁₉⋊C₈	—	2	1	no	—
101	C₂²×C₁₉⋊C₈	—	2	1	no	—
102	C₂²×C₁₉⋊C₈	—	2	1	no	—
103	C₂²×C₁₉⋊C₈	—	2	1	no	—
104	C₂²×C₁₉⋊C₈	—	2	1	no	—
105	C₂²×C₁₉⋊C₈	—	2	1	no	—
106	C₂²×C₁₉⋊C₈	C₂×C₄	1	2	yes	complemented
107	C₁₉×#102	—	2	8	no	—
108	#10597289	—	2	8	no	—
109	C₁₉⋊#95	—	4	2	no	—
110	C₁₉⋊#95	—	4	2	no	—
111	C₂⁴×C₁₉	—	2	2	no	—
112	C₂⁴×C₁₉	—	2	2	no	—
113	C₂⁴×C₁₉	—	2	2	no	—
114	C₂⁴×C₁₉	—	2	2	no	—
115	C₂⁴×C₁₉	—	2	2	no	—
116	C₂⁴×C₁₉	—	2	2	no	—
117	C₂⁴×C₁₉	—	2	2	no	—
118	C₂⁴×C₁₉	—	4	1	no	—
119	C₂⁴×C₁₉	—	4	1	no	—
120	C₂⁴×C₁₉	—	4	1	no	—
121	C₂⁴×C₁₉	—	4	1	no	—
122	C₂⁴×C₁₉	—	4	1	no	—
123	C₂⁴×C₁₉	—	4	1	no	—
124	C₂⁴×C₁₉	—	4	1	no	—
125	C₂⁴×C₁₉	—	4	1	no	—
126	C₂⁴×C₁₉	C₂×D₄	1	1	yes	characteristic
127	C₂×D₄×C₁₉	—	2	2	no	—
128	C₂×D₄×C₁₉	—	2	2	no	—
129	C₂×D₄×C₁₉	—	2	2	no	—
130	C₂×D₄×C₁₉	—	2	2	no	—
131	C₂×D₄×C₁₉	—	2	2	no	—
132	C₂×D₄×C₁₉	—	2	2	no	—
133	C₂×D₄×C₁₉	—	2	2	no	—
134	C₂×D₄×C₁₉	—	2	2	no	—
135	C₂×D₄×C₁₉	—	2	2	no	—
136	C₂×D₄×C₁₉	—	2	2	no	—
137	C₂×D₄×C₁₉	—	2	2	no	—
138	C₂×D₄×C₁₉	—	2	2	no	—
139	C₂×D₄×C₁₉	—	2	2	no	—
140	C₂×D₄×C₁₉	—	2	2	no	—
141	C₂×D₄×C₁₉	—	2	2	no	—
142	C₂×D₄×C₁₉	—	2	2	no	—
143	C₂×D₄×C₁₉	—	2	2	no	—
144	C₂×D₄×C₁₉	—	2	2	no	—
145	C₂×D₄×C₁₉	—	2	2	no	—
146	C₂×D₄×C₁₉	—	2	2	no	—
147	C₂×D₄×C₁₉	—	2	2	no	—
148	C₂×D₄×C₁₉	C₄²	1	4	yes	—
149	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
150	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
151	C₂×D₄×C₁₉	C₂²⋊C₄	1	4	yes	—
152	C₂×D₄×C₁₉	C₄⋊C₄	1	4	yes	—
153	C₂×D₄×C₁₉	C₄⋊C₄	1	4	yes	—
154	C₂×D₄×C₁₉	C₄⋊C₄	1	4	yes	—
155	C₂²×C₄×C₁₉	—	2	2	no	—
156	C₂²×C₄×C₁₉	—	4	1	no	—
157	C₂²×C₄×C₁₉	—	4	1	no	—
158	C₂²×C₄×C₁₉	—	4	1	no	—
159	C₂²×C₄×C₁₉	—	4	1	no	—
160	C₂²×C₄×C₁₉	—	4	1	no	—
161	C₂²×C₄×C₁₉	—	4	1	no	—
162	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
163	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
164	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
165	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
166	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
167	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
168	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
169	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
170	C₂²×C₄×C₁₉	C₂×D₄	1	1	yes	characteristic
171	C₂²×C₄×C₁₉	C₂×Q₈	1	1	yes	characteristic
172	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
173	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
174	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
175	C₂²×C₄×C₁₉	#41	1	1	yes	characteristic
176	C₂²×Dic₁₉	—	2	1	no	—
177	C₂²×Dic₁₉	—	2	1	no	—
178	C₂²×Dic₁₉	—	2	1	no	—
179	C₂²×Dic₁₉	—	2	1	no	—
180	C₂²×Dic₁₉	—	2	16	no	—
181	C₂²×Dic₁₉	—	2	2	no	—
182	C₂²×Dic₁₉	—	2	1	no	—
183	C₂²×Dic₁₉	—	2	1	no	—
184	C₂²×Dic₁₉	—	2	2	no	—
185	C₂²×Dic₁₉	—	2	2	no	—
186	C₂²×Dic₁₉	—	2	1	no	—
187	C₂²×Dic₁₉	—	2	1	no	—
188	C₂²×Dic₁₉	—	2	1	no	—
189	C₂²×Dic₁₉	—	2	1	no	—
190	C₂²×Dic₁₉	—	2	2	no	—
191	C₂²×Dic₁₉	—	4	8	no	—
192	C₂²×Dic₁₉	—	4	8	no	—
193	C₂²×Dic₁₉	—	4	8	no	—
194	C₂²×Dic₁₉	—	4	8	no	—
195	C₂²×Dic₁₉	—	4	8	no	—
196	C₂²×Dic₁₉	—	4	1	no	—
197	C₂²×Dic₁₉	—	4	1	no	—
198	C₂²×Dic₁₉	—	4	1	no	—
199	C₂²×Dic₁₉	—	4	1	no	—
200	C₂²×Dic₁₉	—	4	8	no	—
201	C₂²×Dic₁₉	—	4	1	no	—
202	C₂²×Dic₁₉	—	4	1	no	—
203	C₂²×Dic₁₉	—	4	1	no	—
204	C₂²×Dic₁₉	—	4	1	no	—
205	C₂²×Dic₁₉	—	4	1	no	—
206	C₂²×Dic₁₉	—	4	1	no	—
207	C₂²×Dic₁₉	C₂²⋊C₄	1	2	yes	—
208	C₂²×Dic₁₉	C₂²⋊C₄	1	2	yes	—
209	C₂²×Dic₁₉	D₈	1	2	yes	—
210	C₂²×Dic₁₉	SD₁₆	1	2	yes	—
211	C₂×C₈×C₁₉	—	2	2	no	—
212	C₂×C₈×C₁₉	—	2	2	no	—
213	C₂×C₈×C₁₉	—	2	2	no	—
214	C₂×C₈×C₁₉	—	4	1	no	—
215	C₂×C₈×C₁₉	—	4	1	no	—
216	C₂×C₈×C₁₉	—	4	1	no	—
217	C₂×C₈×C₁₉	—	4	1	no	—
218	C₄⋊C₄×C₁₉	—	2	2	no	—
219	C₄⋊C₄×C₁₉	—	2	2	no	—
220	C₄⋊C₄×C₁₉	—	4	1	no	—
221	C₄⋊C₄×C₁₉	—	4	1	no	—
222	C₂²⋊Dic₁₉	—	2	16	no	—
223	C₄⋊Dic₁₉	—	2	2	no	—
224	C₄⋊Dic₁₉	—	2	2	no	—
225	C₄⋊Dic₁₉	—	2	2	no	—
226	C₄⋊Dic₁₉	—	2	2	no	—
227	C₄⋊Dic₁₉	—	2	2	no	—
228	C₄⋊Dic₁₉	—	4	1	no	—
229	C₄⋊Dic₁₉	—	4	1	no	—
230	C₄⋊Dic₁₉	C₂²⋊C₄	1	4	yes	—
231	C₄×Dic₁₉	—	2	2	no	—
232	C₄×Dic₁₉	—	2	2	no	—
233	C₄×Dic₁₉	—	2	2	no	—
234	C₄×Dic₁₉	—	2	2	no	—
235	C₂×C₁₉⋊C₈	—	2	2	no	—
236	C₂×C₁₉⋊C₈	—	2	2	no	—
237	C₂×C₁₉⋊C₈	—	2	2	no	—
238	C₂×C₁₉⋊C₈	—	4	1	no	—
239	C₂×C₁₉⋊C₈	—	4	1	no	—
240	C₂×C₁₉⋊C₈	—	4	1	no	—
241	C₂×C₁₉⋊C₈	—	4	1	no	—
242	#10788	—	19	1	no	maximal, Sylow
243	C₂³×C₁₉	—	2	4	no	—
244	C₂³×C₁₉	—	2	4	no	—
245	C₂³×C₁₉	—	2	4	no	—
246	C₂³×C₁₉	—	2	4	no	—
247	C₂³×C₁₉	—	2	4	no	—
248	C₂³×C₁₉	—	2	4	no	—
249	C₂³×C₁₉	—	2	4	no	—
250	C₂³×C₁₉	—	4	2	no	—
251	C₂³×C₁₉	—	4	2	no	—
252	C₂³×C₁₉	—	4	2	no	—
253	C₂³×C₁₉	—	4	2	no	—
254	C₂³×C₁₉	—	4	2	no	—
255	C₂³×C₁₉	—	4	2	no	—
256	C₂³×C₁₉	—	4	2	no	—
257	C₂³×C₁₉	—	4	2	no	—
258	C₂³×C₁₉	—	4	2	no	—
259	C₂³×C₁₉	—	4	2	no	—
260	C₂³×C₁₉	—	4	2	no	—
261	C₂³×C₁₉	—	4	2	no	—
262	C₂³×C₁₉	—	4	2	no	—
263	C₂³×C₁₉	—	4	2	no	—
264	C₂³×C₁₉	—	4	2	no	—
265	C₂³×C₁₉	—	4	2	no	—
266	C₂³×C₁₉	—	4	2	no	—
267	C₂³×C₁₉	—	4	2	no	—
268	C₂³×C₁₉	—	4	2	no	—
269	C₂³×C₁₉	—	4	2	no	—
270	C₂³×C₁₉	—	4	2	no	—
271	C₂³×C₁₉	—	4	2	no	—
272	C₂³×C₁₉	—	4	2	no	—
273	C₂³×C₁₉	—	4	2	no	—
274	C₂³×C₁₉	—	4	2	no	—
275	C₂³×C₁₉	—	4	2	no	—
276	C₂³×C₁₉	—	4	2	no	—
277	C₂³×C₁₉	—	4	2	no	—
278	C₂³×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
279	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
280	C₂³×C₁₉	C₄×D₄	1	1	yes	characteristic
281	C₂³×C₁₉	#120	1	1	yes	characteristic
282	C₂³×C₁₉	#120	1	1	yes	characteristic
283	C₂³×C₁₉	#121	1	1	yes	characteristic
284	C₂³×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
285	C₂³×C₁₉	C₂×D₈	1	1	yes	characteristic
286	C₂³×C₁₉	C₂×SD₁₆	1	1	yes	characteristic
287	C₂³×C₁₉	#135	1	1	yes	characteristic
288	C₂³×C₁₉	#135	1	1	yes	characteristic
289	C₂³×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
290	C₂³×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
291	C₂³×C₁₉	AGL(1,ℤ/8)	1	1	yes	characteristic
292	C₂³×C₁₉	#137	1	1	yes	characteristic
293	D₄×C₁₉	—	2	4	no	—
294	D₄×C₁₉	—	2	4	no	—
295	D₄×C₁₉	—	2	4	no	—
296	D₄×C₁₉	—	2	4	no	—
297	D₄×C₁₉	—	2	4	no	—
298	D₄×C₁₉	—	2	4	no	—
299	D₄×C₁₉	—	2	4	no	—
300	D₄×C₁₉	#95	1	8	yes	complemented
301	C₂×C₄×C₁₉	—	4	2	no	—
302	C₂×C₄×C₁₉	—	4	2	no	—
303	C₂×C₄×C₁₉	—	4	2	no	—
304	C₂×C₄×C₁₉	—	8	1	no	—
305	C₂×C₄×C₁₉	—	8	1	no	—
306	C₂×C₄×C₁₉	—	8	1	no	—
307	C₂×C₄×C₁₉	—	8	1	no	—
308	C₂×C₄×C₁₉	C₂×C₄²	1	1	yes	characteristic
309	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
310	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
311	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
312	C₂×C₄×C₁₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
313	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
314	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
315	C₂×C₄×C₁₉	C₂×C₄⋊C₄	1	1	yes	characteristic
316	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
317	C₂×C₄×C₁₉	#117	1	1	yes	characteristic
318	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
319	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
320	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
321	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
322	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
323	C₂×C₄×C₁₉	C₄×D₄	1	1	yes	characteristic
324	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
325	C₂×C₄×C₁₉	#120	1	1	yes	characteristic
326	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
327	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
328	C₂×C₄×C₁₉	#121	1	1	yes	characteristic
329	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
330	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
331	C₂×C₄×C₁₉	C₂²⋊Q₈	1	1	yes	characteristic
332	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
333	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
334	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
335	C₂×C₄×C₁₉	#123	1	1	yes	characteristic
336	C₂×Dic₁₉	—	2	2	no	—
337	C₂×Dic₁₉	—	2	2	no	—
338	C₂×Dic₁₉	—	2	2	no	—
339	C₂×Dic₁₉	—	2	2	no	—
340	C₂×Dic₁₉	—	2	2	no	—
341	C₂×Dic₁₉	—	2	2	no	—
342	C₂×Dic₁₉	—	2	2	no	—
343	C₂×Dic₁₉	—	2	4	no	—
344	C₂×Dic₁₉	—	2	2	no	—
345	C₂×Dic₁₉	—	2	2	no	—
346	C₂×Dic₁₉	—	4	32	no	—
347	C₂×Dic₁₉	—	4	2	no	—
348	C₂×Dic₁₉	—	4	2	no	—
349	C₂×Dic₁₉	—	4	2	no	—
350	C₂×Dic₁₉	—	4	2	no	—
351	C₂×Dic₁₉	—	4	1	no	—
352	C₂×Dic₁₉	—	4	1	no	—
353	C₂×Dic₁₉	—	4	2	no	—
354	C₂×Dic₁₉	—	4	2	no	—
355	C₂×Dic₁₉	—	4	1	no	—
356	C₂×Dic₁₉	—	4	1	no	—
357	C₂×Dic₁₉	—	4	2	no	—
358	C₂×Dic₁₉	—	4	2	no	—
359	C₂×Dic₁₉	—	4	2	no	—
360	C₂×Dic₁₉	—	8	1	no	—
361	C₂×Dic₁₉	—	8	1	no	—
362	C₂×Dic₁₉	—	8	1	no	—
363	C₂×Dic₁₉	—	8	1	no	—
364	C₂×Dic₁₉	#102	1	4	yes	complemented
365	C₈×C₁₉	—	4	2	no	—
366	C₁₉⋊C₈	—	4	2	no	—
367	C₂²×C₄×D₄	—	19	1	no	—
368	C₂²×#102	—	19	1	no	—
369	C₂²×#102	D₁₉	1	1	yes	characteristic
370	C₂×#340	—	19	1	no	—
371	C₂×#340	—	19	1	no	—
372	C₂×#336	—	19	1	no	—
373	C₄⋊#95	—	19	1	no	—
374	C₂²×C₁₉	—	2	8	no	—
375	C₂²×C₁₉	—	4	4	no	—
376	C₂²×C₁₉	—	4	4	no	—
377	C₂²×C₁₉	—	4	4	no	—
378	C₂²×C₁₉	—	4	4	no	—
379	C₂²×C₁₉	—	4	4	no	—
380	C₂²×C₁₉	—	4	4	no	—
381	C₂²×C₁₉	—	4	4	no	—
382	C₂²×C₁₉	—	4	4	no	—
383	C₂²×C₁₉	—	4	4	no	—
384	C₂²×C₁₉	—	4	4	no	—
385	C₂²×C₁₉	—	4	4	no	—
386	C₂²×C₁₉	—	4	4	no	—
387	C₂²×C₁₉	—	4	4	no	—
388	C₂²×C₁₉	—	4	4	no	—
389	C₂²×C₁₉	C₄×C₂²⋊C₄	1	1	yes	characteristic
390	C₂²×C₁₉	#379	1	1	yes	characteristic
391	C₂²×C₁₉	#380	1	1	yes	characteristic
392	C₂²×C₁₉	#385	1	1	yes	characteristic
393	C₂²×C₁₉	#385	1	1	yes	characteristic
394	C₂²×C₁₉	#386	1	1	yes	characteristic
395	C₂²×C₁₉	#386	1	1	yes	characteristic
396	C₂²×C₁₉	C₂×#102	1	1	yes	characteristic
397	C₂²×C₁₉	#416	1	1	yes	characteristic
398	C₂²×C₁₉	#417	1	1	yes	characteristic
399	C₂²×C₁₉	#418	1	1	yes	characteristic
400	C₂²×C₁₉	C₄×D₈	1	1	yes	characteristic
401	C₂²×C₁₉	C₄×D₈	1	1	yes	characteristic
402	C₂²×C₁₉	C₄×SD₁₆	1	1	yes	characteristic
403	C₂²×C₁₉	C₄×SD₁₆	1	1	yes	characteristic
404	C₂²×C₁₉	#440	1	1	yes	characteristic
405	C₂²×C₁₉	#440	1	1	yes	characteristic
406	C₂²×C₁₉	#442	1	1	yes	characteristic
407	C₂²×C₁₉	#442	1	1	yes	characteristic
408	C₂²×C₁₉	#447	1	1	yes	characteristic
409	C₂²×C₁₉	#447	1	1	yes	characteristic
410	C₂²×C₁₉	#449	1	1	yes	characteristic
411	C₂²×C₁₉	#449	1	1	yes	characteristic
412	C₂²×C₁₉	#450	1	1	yes	characteristic
413	C₂²×C₁₉	#450	1	1	yes	characteristic
414	C₂²×C₁₉	#452	1	1	yes	characteristic
415	C₂²×C₁₉	#452	1	1	yes	characteristic
416	C₂²×C₁₉	#459	1	1	yes	characteristic
417	C₂²×C₁₉	#461	1	1	yes	characteristic
418	C₂²×C₁₉	#463	1	1	yes	characteristic
419	C₂²×C₁₉	#463	1	1	yes	characteristic
420	C₂²×C₁₉	#474	1	1	yes	characteristic
421	C₂²×C₁₉	#476	1	1	yes	characteristic
422	C₂²×C₁₉	#478	1	1	yes	characteristic
423	C₂²×C₁₉	#478	1	1	yes	characteristic
424	C₄×C₁₉	—	8	2	no	—
425	C₄×C₁₉	C₂×#95	1	1	yes	characteristic
426	C₄×C₁₉	C₄×C₂²⋊C₄	1	1	yes	characteristic
427	C₄×C₁₉	#380	1	1	yes	characteristic
428	C₄×C₁₉	#381	1	1	yes	characteristic
429	C₄×C₁₉	#385	1	1	yes	characteristic
430	C₄×C₁₉	#385	1	1	yes	characteristic
431	C₄×C₁₉	#386	1	1	yes	characteristic
432	C₄×C₁₉	#386	1	1	yes	characteristic
433	Dic₁₉	—	2	4	no	—
434	Dic₁₉	—	4	4	no	—
435	Dic₁₉	—	4	2	no	—
436	Dic₁₉	—	8	2	no	—
437	C₂³×D₄	C₂×D₁₉	1	1	yes	characteristic
438	C₂⁴×C₄	—	38	1	no	—
439	C₂³×C₈	—	19	1	no	—
440	C₂³×C₈	C₂×D₁₉	1	1	yes	characteristic
441	C₂×C₄×D₄	—	19	4	no	—
442	C₂×C₄×D₄	—	38	2	no	—
443	C₂×C₄×D₄	—	38	2	no	—
444	C₂×C₄×D₄	—	38	2	no	—
445	C₂×C₄×D₄	—	38	2	no	—
446	C₂×C₄×D₄	—	38	2	no	—
447	C₂²×C₄⋊C₄	—	19	1	no	—
448	C₂²×C₄⋊C₄	—	19	1	no	—
449	C₂²×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
450	C₂²×C₂²⋊C₄	—	38	1	no	—
451	C₂²×C₄²	—	19	1	no	—
452	C₂×#102	—	2	2	no	—
453	C₂×#102	—	2	2	no	—
454	C₂×#102	—	19	4	no	—
455	C₂×#102	—	38	2	no	—
456	C₂×#102	—	38	2	no	—
457	C₂×#102	Dic₁₉	1	4	yes	complemented
458	C₂×#95	—	38	1	no	—
459	C₂×#95	—	38	1	no	—
460	#340	—	38	2	no	—
461	#340	—	38	2	no	—
462	#336	—	38	2	no	—
463	C₂×C₁₉	—	4	8	no	—
464	C₂×C₁₉	C₂²⋊#95	1	1	yes	characteristic
465	C₂×C₁₉	C₄×#102	1	1	yes	characteristic
466	C₂×C₁₉	#1762	1	1	yes	characteristic
467	C₂×C₁₉	#1786	1	1	yes	characteristic
468	C₂×C₁₉	#1788	1	1	yes	characteristic
469	C₂×C₁₉	#1802	1	1	yes	characteristic
470	C₂×C₁₉	#1804	1	1	yes	characteristic
471	C₂×C₁₉	#1862	1	1	yes	characteristic
472	C₂×C₁₉	#1862	1	1	yes	characteristic
473	C₂×C₁₉	#1864	1	1	yes	characteristic
474	C₂×C₁₉	#1864	1	1	yes	characteristic
475	C₂×C₁₉	#1877	1	1	yes	characteristic
476	C₂×C₁₉	#1877	1	1	yes	characteristic
477	C₂×C₁₉	#1879	1	1	yes	characteristic
478	C₂×C₁₉	#1879	1	1	yes	characteristic
479	C₂⁵	—	2	1	no	—
480	C₂²×D₄	—	2	1	no	—
481	C₂²×D₄	—	2	1	no	—
482	C₂²×D₄	—	2	1	no	—
483	C₂²×D₄	—	2	1	no	—
484	C₂²×D₄	—	2	1	no	—
485	C₂²×D₄	—	2	1	no	—
486	C₂²×D₄	—	2	1	no	—
487	C₂²×D₄	Dic₃₈	1	2	yes	—
488	C₂²×D₄	C₄×D₁₉	1	2	yes	—
489	C₂²×D₄	C₄×D₁₉	1	2	yes	—
490	C₂²×D₄	D₇₆	1	2	yes	—
491	C₂²×D₄	C₂×Dic₁₉	1	2	yes	—
492	C₂²×D₄	C₂²⋊D₁₉	1	2	yes	—
493	C₂²×D₄	C₂²⋊D₁₉	1	2	yes	—
494	C₂³×C₄	—	2	1	no	—
495	C₂³×C₄	—	19	1	no	—
496	C₂³×C₄	—	19	1	no	—
497	C₂³×C₄	—	38	4	no	—
498	C₂³×C₄	—	38	4	no	—
499	C₂³×C₄	—	38	4	no	—
500	C₂³×C₄	—	38	1	no	—
501	C₂³×C₄	—	38	1	no	—
502	C₂³×C₄	—	76	2	no	—
503	C₂³×C₄	—	76	2	no	—
504	C₂³×C₄	—	76	2	no	—
505	C₂³×C₄	—	76	2	no	—
506	C₂³×C₄	C₂²×D₁₉	1	1	yes	characteristic
507	C₂²×C₈	—	2	1	no	—
508	C₂²×C₈	—	2	1	no	—
509	C₂²×C₈	—	2	1	no	—
510	C₂²×C₈	—	2	1	no	—
511	C₂²×C₈	—	2	1	no	—
512	C₂²×C₈	—	2	1	no	—
513	C₂²×C₈	—	19	2	no	—
514	C₂²×C₈	—	38	1	no	—
515	C₂²×C₈	—	38	1	no	—
516	C₂²×C₈	—	38	1	no	—
517	C₂²×C₈	—	38	1	no	—
518	C₂²×C₈	—	38	1	no	—
519	C₂²×C₈	—	38	1	no	—
520	C₂²×C₈	C₂×Dic₁₉	1	2	yes	complemented
521	C₄×D₄	—	38	8	no	—
522	C₄×D₄	—	38	8	no	—
523	C₄×D₄	—	38	8	no	—
524	C₄×D₄	—	38	8	no	—
525	C₂×C₄⋊C₄	—	2	1	no	—
526	C₂×C₄⋊C₄	—	2	1	no	—
527	C₂×C₄⋊C₄	—	2	1	no	—
528	C₂×C₄⋊C₄	—	2	1	no	—
529	C₂×C₄⋊C₄	—	2	1	no	—
530	C₂×C₄⋊C₄	—	19	2	no	—
531	C₂×C₄⋊C₄	—	19	2	no	—
532	C₂×C₄⋊C₄	—	19	2	no	—
533	C₂×C₄⋊C₄	—	19	2	no	—
534	C₂×C₄⋊C₄	—	38	1	no	—
535	C₂×C₄⋊C₄	—	38	1	no	—
536	C₂×C₄⋊C₄	—	38	1	no	—
537	C₂×C₄⋊C₄	—	38	1	no	—
538	C₂×C₄⋊C₄	—	38	1	no	—
539	C₂×C₄⋊C₄	—	38	1	no	—
540	C₂×C₄⋊C₄	—	38	1	no	—
541	C₂×C₄⋊C₄	—	38	1	no	—
542	C₂×C₄⋊C₄	C₂×Dic₁₉	1	2	yes	complemented
543	C₂×C₂²⋊C₄	—	38	4	no	—
544	C₂×C₂²⋊C₄	—	38	4	no	—
545	C₂×C₂²⋊C₄	—	38	4	no	—
546	C₂×C₄²	—	19	2	no	—
547	C₂×C₄²	—	19	2	no	—
548	C₂×C₄²	—	38	1	no	—
549	C₂×C₄²	—	38	1	no	—
550	C₂×C₄²	—	38	1	no	—
551	C₂×C₄²	—	38	1	no	—
552	#102	—	2	8	no	—
553	#102	—	38	8	no	—
554	#95	—	76	2	no	—
555	#95	—	76	2	no	—
556	C₁₉	#10788	1	1	yes	characteristic, complemented, Sylow
557	C₂⁴	—	2	2	no	—
558	C₂⁴	—	2	2	no	—
559	C₂⁴	—	2	2	no	—
560	C₂⁴	—	2	2	no	—
561	C₂⁴	—	2	2	no	—
562	C₂⁴	—	2	2	no	—
563	C₂⁴	—	2	2	no	—
564	C₂⁴	—	4	1	no	—
565	C₂⁴	—	4	1	no	—
566	C₂⁴	—	4	1	no	—
567	C₂⁴	—	4	1	no	—
568	C₂⁴	—	4	1	no	—
569	C₂⁴	—	4	1	no	—
570	C₂⁴	—	4	1	no	—
571	C₂⁴	—	4	1	no	—
572	C₂⁴	D₄×D₁₉	1	1	yes	characteristic
573	C₂×D₄	—	2	2	no	—
574	C₂×D₄	—	2	2	no	—
575	C₂×D₄	—	2	2	no	—
576	C₂×D₄	—	2	2	no	—
577	C₂×D₄	—	2	2	no	—
578	C₂×D₄	—	2	2	no	—
579	C₂×D₄	—	2	2	no	—
580	C₂×D₄	—	2	2	no	—
581	C₂×D₄	—	2	2	no	—
582	C₂×D₄	—	2	2	no	—
583	C₂×D₄	—	2	2	no	—
584	C₂×D₄	—	2	2	no	—
585	C₂×D₄	—	2	2	no	—
586	C₂×D₄	—	2	2	no	—
587	C₂×D₄	—	2	2	no	—
588	C₂×D₄	—	2	2	no	—
589	C₂×D₄	—	2	2	no	—
590	C₂×D₄	—	2	2	no	—
591	C₂×D₄	—	2	2	no	—
592	C₂×D₄	—	2	2	no	—
593	C₂×D₄	—	2	2	no	—
594	C₂×D₄	C₄×Dic₁₉	1	4	yes	—
595	C₂×D₄	Dic₁₉⋊C₄	1	4	yes	—
596	C₂×D₄	Dic₁₉⋊C₄	1	4	yes	—
597	C₂×D₄	C₄⋊Dic₁₉	1	4	yes	—
598	C₂×D₄	(C₂×D₁₉)⋊C₄	1	4	yes	—
599	C₂×D₄	(C₂×D₁₉)⋊C₄	1	4	yes	—
600	C₂×D₄	C₂²⋊Dic₁₉	1	4	yes	—
601	C₂²×C₄	—	2	2	no	—
602	C₂²×C₄	—	4	1	no	—
603	C₂²×C₄	—	4	1	no	—
604	C₂²×C₄	—	4	1	no	—
605	C₂²×C₄	—	4	1	no	—
606	C₂²×C₄	—	4	1	no	—
607	C₂²×C₄	—	4	1	no	—
608	C₂²×C₄	—	19	2	no	—
609	C₂²×C₄	—	19	2	no	—
610	C₂²×C₄	—	19	2	no	—
611	C₂²×C₄	—	19	2	no	—
612	C₂²×C₄	—	38	1	no	—
613	C₂²×C₄	—	38	1	no	—
614	C₂²×C₄	—	38	1	no	—
615	C₂²×C₄	—	38	1	no	—
616	C₂²×C₄	—	38	16	no	—
617	C₂²×C₄	—	38	1	no	—
618	C₂²×C₄	—	38	2	no	—
619	C₂²×C₄	—	38	2	no	—
620	C₂²×C₄	—	38	1	no	—
621	C₂²×C₄	—	38	2	no	—
622	C₂²×C₄	—	38	1	no	—
623	C₂²×C₄	—	38	1	no	—
624	C₂²×C₄	—	38	1	no	—
625	C₂²×C₄	—	38	1	no	—
626	C₂²×C₄	—	38	2	no	—
627	C₂²×C₄	—	76	8	no	—
628	C₂²×C₄	—	76	8	no	—
629	C₂²×C₄	—	76	8	no	—
630	C₂²×C₄	—	76	8	no	—
631	C₂²×C₄	—	76	8	no	—
632	C₂²×C₄	—	76	8	no	—
633	C₂²×C₄	—	76	1	no	—
634	C₂²×C₄	—	76	1	no	—
635	C₂²×C₄	—	76	1	no	—
636	C₂²×C₄	—	76	1	no	—
637	C₂²×C₄	—	76	1	no	—
638	C₂²×C₄	—	76	1	no	—
639	C₂²×C₄	—	76	1	no	—
640	C₂²×C₄	—	76	1	no	—
641	C₂²×C₄	—	76	1	no	—
642	C₂²×C₄	—	76	1	no	—
643	C₂²×C₄	C₂×Dic₃₈	1	1	yes	characteristic
644	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
645	C₂²×C₄	C₂×C₄×D₁₉	1	1	yes	characteristic
646	C₂²×C₄	C₂×D₇₆	1	1	yes	characteristic
647	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
648	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
649	C₂²×C₄	D₄×D₁₉	1	1	yes	characteristic
650	C₂²×C₄	#64543	1	1	yes	characteristic
651	C₂²×C₄	#64543	1	1	yes	characteristic
652	C₂²×C₄	#64543	1	1	yes	characteristic
653	C₂²×C₄	#64543	1	1	yes	characteristic
654	C₂²×C₄	C₂²×Dic₁₉	1	1	yes	characteristic
655	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
656	C₂²×C₄	C₂×C₂²⋊D₁₉	1	1	yes	characteristic
657	C₂×C₈	—	2	2	no	—
658	C₂×C₈	—	2	2	no	—
659	C₂×C₈	—	2	2	no	—
660	C₂×C₈	—	4	1	no	—
661	C₂×C₈	—	4	1	no	—
662	C₂×C₈	—	4	1	no	—
663	C₂×C₈	—	4	1	no	—
664	C₂×C₈	—	38	2	no	—
665	C₂×C₈	—	38	2	no	—
666	C₂×C₈	—	38	2	no	—
667	C₂×C₈	—	76	1	no	—
668	C₂×C₈	—	76	1	no	—
669	C₂×C₈	—	76	1	no	—
670	C₂×C₈	—	76	1	no	—
671	C₄⋊C₄	—	2	2	no	—
672	C₄⋊C₄	—	2	2	no	—
673	C₄⋊C₄	—	4	1	no	—
674	C₄⋊C₄	—	4	1	no	—
675	C₄⋊C₄	—	19	4	no	—
676	C₄⋊C₄	—	38	2	no	—
677	C₄⋊C₄	—	38	2	no	—
678	C₄⋊C₄	—	38	2	no	—
679	C₄⋊C₄	—	38	2	no	—
680	C₄⋊C₄	—	38	2	no	—
681	C₄⋊C₄	—	76	1	no	—
682	C₄⋊C₄	—	76	1	no	—
683	C₂²⋊C₄	—	38	16	no	—
684	C₄²	—	38	2	no	—
685	C₄²	—	38	2	no	—
686	C₄²	—	38	2	no	—
687	C₄²	—	38	2	no	—
688	C₂³	—	2	4	no	—
689	C₂³	—	2	4	no	—
690	C₂³	—	2	4	no	—
691	C₂³	—	2	4	no	—
692	C₂³	—	2	4	no	—
693	C₂³	—	2	4	no	—
694	C₂³	—	2	4	no	—
695	C₂³	—	4	2	no	—
696	C₂³	—	4	2	no	—
697	C₂³	—	4	2	no	—
698	C₂³	—	4	2	no	—
699	C₂³	—	4	2	no	—
700	C₂³	—	4	2	no	—
701	C₂³	—	4	2	no	—
702	C₂³	—	4	2	no	—
703	C₂³	—	4	2	no	—
704	C₂³	—	4	2	no	—
705	C₂³	—	4	2	no	—
706	C₂³	—	4	2	no	—
707	C₂³	—	4	2	no	—
708	C₂³	—	4	2	no	—
709	C₂³	—	4	2	no	—
710	C₂³	—	4	2	no	—
711	C₂³	—	4	2	no	—
712	C₂³	—	4	2	no	—
713	C₂³	—	4	2	no	—
714	C₂³	—	4	2	no	—
715	C₂³	—	4	2	no	—
716	C₂³	—	4	2	no	—
717	C₂³	—	4	2	no	—
718	C₂³	—	4	2	no	—
719	C₂³	—	4	2	no	—
720	C₂³	—	4	2	no	—
721	C₂³	—	4	2	no	—
722	C₂³	—	4	2	no	—
723	C₂³	#10597324	1	1	yes	characteristic
724	C₂³	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
725	C₂³	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
726	C₂³	#10597328	1	1	yes	characteristic
727	C₂³	D₈×D₁₉	1	1	yes	characteristic
728	C₂³	#10597357	1	1	yes	characteristic
729	C₂³	#10597357	1	1	yes	characteristic
730	C₂³	#10597358	1	1	yes	characteristic
731	C₂³	SD₁₆×D₁₉	1	1	yes	characteristic
732	C₂³	#10597360	1	1	yes	characteristic
733	C₂³	#10597361	1	1	yes	characteristic
734	C₂³	#10597362	1	1	yes	characteristic
735	C₂³	D₄×Dic₁₉	1	1	yes	characteristic
736	C₂³	#10597383	1	1	yes	characteristic
737	C₂³	#10597385	1	1	yes	characteristic
738	D₄	—	2	4	no	—
739	D₄	—	2	4	no	—
740	D₄	—	2	4	no	—
741	D₄	—	2	4	no	—
742	D₄	—	2	4	no	—
743	D₄	—	2	4	no	—
744	D₄	—	2	4	no	—
745	D₄	C₁₉⋊#95	1	8	yes	complemented
746	C₂×C₄	—	4	2	no	—
747	C₂×C₄	—	4	2	no	—
748	C₂×C₄	—	4	2	no	—
749	C₂×C₄	—	8	1	no	—
750	C₂×C₄	—	8	1	no	—
751	C₂×C₄	—	8	1	no	—
752	C₂×C₄	—	8	1	no	—
753	C₂×C₄	—	19	4	no	—
754	C₂×C₄	—	38	2	no	—
755	C₂×C₄	—	38	2	no	—
756	C₂×C₄	—	38	2	no	—
757	C₂×C₄	—	38	2	no	—
758	C₂×C₄	—	38	2	no	—
759	C₂×C₄	—	38	2	no	—
760	C₂×C₄	—	38	2	no	—
761	C₂×C₄	—	38	2	no	—
762	C₂×C₄	—	38	2	no	—
763	C₂×C₄	—	38	4	no	—
764	C₂×C₄	—	76	32	no	—
765	C₂×C₄	—	76	2	no	—
766	C₂×C₄	—	76	2	no	—
767	C₂×C₄	—	76	2	no	—
768	C₂×C₄	—	76	2	no	—
769	C₂×C₄	—	76	1	no	—
770	C₂×C₄	—	76	1	no	—
771	C₂×C₄	—	76	2	no	—
772	C₂×C₄	—	76	2	no	—
773	C₂×C₄	—	76	1	no	—
774	C₂×C₄	—	76	1	no	—
775	C₂×C₄	—	76	2	no	—
776	C₂×C₄	—	76	2	no	—
777	C₂×C₄	—	76	2	no	—
778	C₂×C₄	—	152	1	no	—
779	C₂×C₄	—	152	1	no	—
780	C₂×C₄	—	152	1	no	—
781	C₂×C₄	—	152	1	no	—
782	C₂×C₄	#10597323	1	1	yes	characteristic
783	C₂×C₄	#10597323	1	1	yes	characteristic
784	C₂×C₄	#10597324	1	1	yes	characteristic
785	C₂×C₄	#10597324	1	1	yes	characteristic
786	C₂×C₄	#10597324	1	1	yes	characteristic
787	C₂×C₄	C₂²⋊C₄×D₁₉	1	1	yes	characteristic
788	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
789	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
790	C₂×C₄	(C₂²⋊D₁₉)⋊C₄	1	1	yes	characteristic
791	C₂×C₄	#10597328	1	1	yes	characteristic
792	C₂×C₄	#10597332	1	1	yes	characteristic
793	C₂×C₄	#10597332	1	1	yes	characteristic
794	C₂×C₄	C₂×C₄×Dic₁₉	1	1	yes	characteristic
795	C₂×C₄	C₂×Dic₁₉⋊C₄	1	1	yes	characteristic
796	C₂×C₄	C₂×Dic₁₉⋊C₄	1	1	yes	characteristic
797	C₂×C₄	C₂×C₄⋊Dic₁₉	1	1	yes	characteristic
798	C₂×C₄	C₂×(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
799	C₂×C₄	C₂×(C₂×D₁₉)⋊C₄	1	1	yes	characteristic
800	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
801	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
802	C₂×C₄	D₄×Dic₁₉	1	1	yes	characteristic
803	C₂×C₄	#10597381	1	1	yes	characteristic
804	C₂×C₄	#10597381	1	1	yes	characteristic
805	C₂×C₄	#10597383	1	1	yes	characteristic
806	C₂×C₄	#10597385	1	1	yes	characteristic
807	C₂×C₄	#10597385	1	1	yes	characteristic
808	C₂×C₄	#10597385	1	1	yes	characteristic
809	C₂×C₄	C₂×C₂²⋊Dic₁₉	1	1	yes	characteristic
810	C₈	—	4	2	no	—
811	C₈	—	76	2	no	—
812	C₂²	—	2	8	no	—
813	C₂²	—	4	4	no	—
814	C₂²	—	4	4	no	—
815	C₂²	—	4	4	no	—
816	C₂²	—	4	4	no	—
817	C₂²	—	4	4	no	—
818	C₂²	—	4	4	no	—
819	C₂²	—	4	4	no	—
820	C₂²	—	4	4	no	—
821	C₂²	—	4	4	no	—
822	C₂²	—	4	4	no	—
823	C₂²	—	4	4	no	—
824	C₂²	—	4	4	no	—
825	C₂²	—	4	4	no	—
826	C₂²	—	4	4	no	—
827	C₂²	C₂²⋊C₄×Dic₁₉	1	1	yes	characteristic
828	C₂²	#11926399	1	1	yes	characteristic
829	C₂²	#11926402	1	1	yes	characteristic
830	C₂²	#11926416	1	1	yes	characteristic
831	C₂²	#11926419	1	1	yes	characteristic
832	C₂²	#11926421	1	1	yes	characteristic
833	C₂²	#11926424	1	1	yes	characteristic
834	C₂²	#102×D₁₉	1	1	yes	characteristic
835	C₂²	#11926537	1	1	yes	characteristic
836	C₂²	#11926542	1	1	yes	characteristic
837	C₂²	#11926547	1	1	yes	characteristic
838	C₂²	#11926624	1	1	yes	characteristic
839	C₂²	D₈×Dic₁₉	1	1	yes	characteristic
840	C₂²	SD₁₆×Dic₁₉	1	1	yes	characteristic
841	C₂²	#11926635	1	1	yes	characteristic
842	C₂²	#11926641	1	1	yes	characteristic
843	C₂²	#11926645	1	1	yes	characteristic
844	C₂²	#11926653	1	1	yes	characteristic
845	C₂²	#11926656	1	1	yes	characteristic
846	C₂²	#11926676	1	1	yes	characteristic
847	C₂²	#11926679	1	1	yes	characteristic
848	C₂²	#11926686	1	1	yes	characteristic
849	C₂²	#11926690	1	1	yes	characteristic
850	C₂²	#11926693	1	1	yes	characteristic
851	C₂²	#11926696	1	1	yes	characteristic
852	C₂²	#11926703	1	1	yes	characteristic
853	C₂²	#11926707	1	1	yes	characteristic
854	C₂²	#11926737	1	1	yes	characteristic
855	C₂²	#11926747	1	1	yes	characteristic
856	C₂²	#11926757	1	1	yes	characteristic
857	C₂²	#11926761	1	1	yes	characteristic
858	C₂²	#11926822	1	1	yes	characteristic
859	C₂²	#11926832	1	1	yes	characteristic
860	C₂²	#11926842	1	1	yes	characteristic
861	C₂²	#11926846	1	1	yes	characteristic
862	C₄	—	8	2	no	—
863	C₄	—	38	4	no	—
864	C₄	—	76	4	no	—
865	C₄	—	76	2	no	—
866	C₄	—	152	2	no	—
867	C₄	C₂×C₁₉⋊#95	1	1	yes	characteristic
868	C₄	C₂²⋊C₄×Dic₁₉	1	1	yes	characteristic
869	C₄	#11926402	1	1	yes	characteristic
870	C₄	#11926405	1	1	yes	characteristic
871	C₄	#11926416	1	1	yes	characteristic
872	C₄	#11926419	1	1	yes	characteristic
873	C₄	#11926421	1	1	yes	characteristic
874	C₄	#11926424	1	1	yes	characteristic
875	C₂	—	4	8	no	—
876	C₂	#14561857	1	1	yes	characteristic
877	C₂	#102×Dic₁₉	1	1	yes	characteristic
878	C₂	#14563462	1	1	yes	characteristic
879	C₂	#14563564	1	1	yes	characteristic
880	C₂	#14563572	1	1	yes	characteristic
881	C₂	#14563633	1	1	yes	characteristic
882	C₂	#14563643	1	1	yes	characteristic
883	C₂	#14563880	1	1	yes	characteristic
884	C₂	#14563884	1	1	yes	characteristic
885	C₂	#14563894	1	1	yes	characteristic
886	C₂	#14563898	1	1	yes	characteristic
887	C₂	#14563967	1	1	yes	characteristic
888	C₂	#14563971	1	1	yes	characteristic
889	C₂	#14563981	1	1	yes	characteristic
890	C₂	#14563985	1	1	yes	characteristic

	subgroup	G/H
center	C₂⁴	D₄×D₁₉
commutator	C₂×C₄×C₁₉	C₂×C₄²
Frattini	C₂³×C₄	C₂²×D₁₉
Fitting	C₂²×C₁₉×#102	C₂
socle	C₂⁴×C₁₉	C₂×D₄
prime radical	C₂³×D₄×C₁₉	C₂²
cosocle	C₂³×C₄×C₁₉	C₂³
hypercenter	C₂²×#102	D₁₉
hypocenter	C₁₉	#10788
LCS	G ▷ C₂×C₄×C₁₉ ▷ C₂×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂⁴ ◁ C₂³×C₄ ◁ C₂²×#102

Complements

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

N	H ≅ G/N	type
3. C₂×#11926307	C₂	semidirect
4. C₂×#11926306	C₂	semidirect
5. C₂×#11926298	C₂	semidirect
6. #14561864	C₂	semidirect
15. C₂×D₄×Dic₁₉	C₄	semidirect
22. C₂×#10597289	C₄	semidirect
33. C₂×C₁₉×#102	C₄	semidirect
68. C₂²×C₈×C₁₉	C₂×C₄	semidirect
74. C₂×C₄⋊C₄×C₁₉	C₂×C₄	semidirect
91. C₂×C₄⋊Dic₁₉	C₂×C₄	semidirect
106. C₂²×C₁₉⋊C₈	C₂×C₄	semidirect
300. D₄×C₁₉	#95	semidirect
364. C₂×Dic₁₉	#102	semidirect
457. C₂×#102	Dic₁₉	semidirect
520. C₂²×C₈	C₂×Dic₁₉	semidirect
542. C₂×C₄⋊C₄	C₂×Dic₁₉	semidirect
556. C₁₉	#10788	semidirect
745. D₄	C₁₉⋊#95	semidirect

Maximal subgroups

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

subgroup	index
C₂²×D₄×Dic₁₉	2
C₂²×#10597289	2
C₂×#11926307	2
C₂×#11926306	2
C₂×#11926298	2
#14561864	2
C₂²×C₁₉×#102	2
#10788	19