Subgroups — #14577330

Order 2432.

1052 conjugacy classes of subgroups.

The subgroup lattice has 970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927235	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927232	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927231	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927229	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927227	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927226	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927226	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927223	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927221	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927221	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927219	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927219	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927218	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927218	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927217	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927169	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927142	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927142	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927140	C₂	1	1	yes	maximal, characteristic, complemented
20	#11927135	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927105	C₂	1	1	yes	maximal, characteristic
22	#11927081	C₂	1	1	yes	maximal, characteristic, complemented
23	#11927079	C₂	1	1	yes	maximal, characteristic, complemented
24	#11927077	C₂	1	1	yes	maximal, characteristic, complemented
25	#11927072	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#10597340	C₂	1	1	yes	maximal, characteristic, complemented
27	#123×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#11927018	C₂	1	1	yes	maximal, characteristic, complemented
29	#11927016	C₂	1	1	yes	maximal, characteristic, complemented
30	#117×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#552	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
33	C₂²×D₇₆	C₂²	1	1	yes	characteristic
34	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic
35	C₁₉×#126	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#126	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
38	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
40	C₁₉×#123	C₂²	1	1	yes	characteristic
41	C₁₉×#123	C₂²	1	1	yes	characteristic
42	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
45	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
46	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
48	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
50	#10597393	C₂²	1	1	yes	characteristic, complemented
51	#10597392	C₂²	1	1	yes	characteristic, complemented
52	#10597392	C₂²	1	1	yes	characteristic, complemented
53	#10597392	C₂²	1	1	yes	characteristic, complemented
54	#10597383	C₂²	1	1	yes	characteristic
55	#10597381	C₂²	1	1	yes	characteristic
56	D₄×Dic₁₉	C₂²	1	1	yes	characteristic
57	#10597375	C₂²	1	1	yes	characteristic
58	#10597375	C₂²	1	1	yes	characteristic
59	#10597375	C₂²	1	1	yes	characteristic, complemented
60	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
61	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
62	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
63	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
64	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
65	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
66	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
67	#10597372	C₂²	1	1	yes	characteristic, complemented
68	#10597372	C₂²	1	1	yes	characteristic, complemented
69	#10597370	C₂²	1	1	yes	characteristic, complemented
70	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
71	#10597344	C₂²	1	1	yes	characteristic, complemented
72	#10597344	C₂²	1	1	yes	characteristic, complemented
73	#10597344	C₂²	1	1	yes	characteristic, complemented
74	#10597344	C₂²	1	1	yes	characteristic, complemented
75	#10597344	C₂²	1	1	yes	characteristic, complemented
76	#10597344	C₂²	1	1	yes	characteristic, complemented
77	#10597344	C₂²	1	1	yes	characteristic, complemented
78	#10597344	C₂²	1	1	yes	characteristic, complemented
79	#10597344	C₂²	1	1	yes	characteristic, complemented
80	#10597343	C₂²	1	1	yes	characteristic, complemented
81	#10597343	C₂²	1	1	yes	characteristic, complemented
82	#10597343	C₂²	1	1	yes	characteristic, complemented
83	#10597343	C₂²	1	1	yes	characteristic, complemented
84	#10597342	C₂²	1	1	yes	characteristic, complemented
85	#10597342	C₂²	1	1	yes	characteristic, complemented
86	#10597342	C₂²	1	1	yes	characteristic, complemented
87	#10597342	C₂²	1	1	yes	characteristic, complemented
88	#10597342	C₂²	1	1	yes	characteristic, complemented
89	#10597342	C₂²	1	1	yes	characteristic, complemented
90	#10597342	C₂²	1	1	yes	characteristic, complemented
91	#10597341	C₂²	1	1	yes	characteristic
92	#10597341	C₂²	1	1	yes	characteristic
93	#10597340	C₂²	1	1	yes	characteristic
94	#10597340	C₂²	1	1	yes	characteristic
95	#10597340	C₂²	1	1	yes	characteristic
96	#10597340	C₂²	1	1	yes	characteristic
97	#10597340	C₂²	1	1	yes	characteristic
98	#10597340	C₂²	1	1	yes	characteristic
99	#10597340	C₂²	1	1	yes	characteristic, complemented
100	#10597340	C₂²	1	1	yes	characteristic, complemented
101	#10597340	C₂²	1	1	yes	characteristic, complemented
102	#10597340	C₂²	1	1	yes	characteristic, complemented
103	#10597340	C₂²	1	1	yes	characteristic, complemented
104	#10597340	C₂²	1	1	yes	characteristic, complemented
105	#10597340	C₂²	1	1	yes	characteristic, complemented
106	#10597340	C₂²	1	1	yes	characteristic, complemented
107	#10597340	C₂²	1	1	yes	characteristic, complemented
108	#10597340	C₂²	1	1	yes	characteristic, complemented
109	#10597339	C₂²	1	1	yes	characteristic
110	#10597339	C₂²	1	1	yes	characteristic
111	#10597339	C₂²	1	1	yes	characteristic, complemented
112	#10597339	C₂²	1	1	yes	characteristic, complemented
113	#10597339	C₂²	1	1	yes	characteristic, complemented
114	#10597339	C₂²	1	1	yes	characteristic, complemented
115	#10597338	C₂²	1	1	yes	characteristic, complemented
116	#10597338	C₂²	1	1	yes	characteristic, complemented
117	#10597338	C₂²	1	1	yes	characteristic, complemented
118	#10597338	C₂²	1	1	yes	characteristic, complemented
119	#10597338	C₂²	1	1	yes	characteristic, complemented
120	#10597338	C₂²	1	1	yes	characteristic, complemented
121	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
122	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
123	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
124	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
125	#10597336	C₂²	1	1	yes	characteristic, complemented
126	#10597336	C₂²	1	1	yes	characteristic, complemented
127	#10597335	C₂²	1	1	yes	characteristic, complemented
128	#10597335	C₂²	1	1	yes	characteristic, complemented
129	#10597335	C₂²	1	1	yes	characteristic, complemented
130	#10597335	C₂²	1	1	yes	characteristic, complemented
131	#10597335	C₂²	1	1	yes	characteristic, complemented
132	#10597335	C₂²	1	1	yes	characteristic, complemented
133	#10597333	C₂²	1	1	yes	characteristic, complemented
134	#10597333	C₂²	1	1	yes	characteristic, complemented
135	#10597332	C₂²	1	1	yes	characteristic
136	#10597332	C₂²	1	1	yes	characteristic, complemented
137	#10597331	C₂²	1	1	yes	characteristic, complemented
138	#10597331	C₂²	1	1	yes	characteristic, complemented
139	#10597330	C₂²	1	1	yes	characteristic
140	#10597330	C₂²	1	1	yes	characteristic
141	#10597329	C₂²	1	1	yes	characteristic, complemented
142	#10597329	C₂²	1	1	yes	characteristic, complemented
143	#10597329	C₂²	1	1	yes	characteristic, complemented
144	#10597329	C₂²	1	1	yes	characteristic, complemented
145	#10597328	C₂²	1	1	yes	characteristic
146	#10597328	C₂²	1	1	yes	characteristic
147	#10597328	C₂²	1	1	yes	characteristic
148	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
149	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
155	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
156	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
157	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
158	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
159	#10597325	C₂²	1	1	yes	characteristic, complemented
160	#10597325	C₂²	1	1	yes	characteristic, complemented
161	#10597324	C₂²	1	1	yes	characteristic, complemented
162	#10597324	C₂²	1	1	yes	characteristic, complemented
163	#10597324	C₂²	1	1	yes	characteristic, complemented
164	#10597323	C₂²	1	1	yes	characteristic, complemented
165	#10597323	C₂²	1	1	yes	characteristic, complemented
166	#10597323	C₂²	1	1	yes	characteristic, complemented
167	#10597322	C₂²	1	1	yes	characteristic, complemented
168	#10597322	C₂²	1	1	yes	characteristic, complemented
169	#10597322	C₂²	1	1	yes	characteristic, complemented
170	#10597321	C₂²	1	1	yes	characteristic, complemented
171	C₄×D₇₆	C₂²	1	1	yes	characteristic
172	C₄×D₇₆	C₂²	1	1	yes	characteristic
173	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
174	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
175	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
177	#10597318	C₂²	1	1	yes	characteristic, complemented
178	#10597318	C₂²	1	1	yes	characteristic, complemented
179	#10597318	C₂²	1	1	yes	characteristic, complemented
180	#10597318	C₂²	1	1	yes	characteristic, complemented
181	#10597318	C₂²	1	1	yes	characteristic, complemented
182	#10597318	C₂²	1	1	yes	characteristic, complemented
183	C₄²×D₁₉	C₂²	1	1	yes	characteristic, complemented
184	C₄²×D₁₉	C₂²	1	1	yes	characteristic, complemented
185	#10597316	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₉	C₂³	1	1	yes	characteristic
188	C₂³×D₁₉	C₂³	1	1	yes	characteristic
189	C₂³×D₁₉	C₂³	1	1	yes	characteristic
190	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
191	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
200	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
203	D₄×D₁₉	—	2	4	no	—
204	C₂×D₇₆	—	2	4	no	—
205	C₂×D₇₆	C₂³	1	1	yes	characteristic
206	C₂×D₇₆	C₂³	1	1	yes	characteristic
207	C₂×D₇₆	C₂³	1	1	yes	characteristic
208	C₂×D₇₆	C₂³	1	1	yes	characteristic
209	C₂×D₇₆	C₂³	1	1	yes	characteristic
210	C₂×D₇₆	C₂³	1	1	yes	characteristic
211	C₂×D₇₆	C₂³	1	1	yes	characteristic
212	C₂×C₄×D₁₉	—	2	4	no	—
213	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
219	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
221	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
230	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
231	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
232	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
233	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
234	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
235	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
236	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
237	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
238	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
239	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
240	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
241	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
242	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
243	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
244	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
245	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
246	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
247	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
248	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
249	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
250	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
251	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
252	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
253	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
254	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
255	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
256	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄²×C₁₉	C₂³	1	1	yes	characteristic
258	C₄²×C₁₉	C₂³	1	1	yes	characteristic
259	C₄²×C₁₉	C₂³	1	1	yes	characteristic
260	C₄²×C₁₉	C₂³	1	1	yes	characteristic
261	C₄²×C₁₉	C₂³	1	1	yes	characteristic
262	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
263	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
264	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
265	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
266	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
267	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
268	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
269	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
270	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
271	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
272	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
273	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
274	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
275	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
276	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
277	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
278	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
279	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
280	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
281	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
282	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
283	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
302	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
303	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
304	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
305	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
306	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
307	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
308	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
309	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
310	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
311	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
312	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
313	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
314	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
315	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
316	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
317	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
318	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
319	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
320	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
321	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
322	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
325	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
326	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
327	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
328	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
329	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
330	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
331	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
334	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
335	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
336	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
337	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
338	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
339	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
340	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
341	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
342	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
343	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
344	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
345	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
346	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
347	C₂²×D₁₉	—	2	2	no	—
348	C₂²×D₁₉	—	2	2	no	—
349	C₂²×D₁₉	—	4	1	no	—
350	C₂²×D₁₉	—	4	1	no	—
351	C₂²×D₁₉	—	4	1	no	—
352	C₂²×D₁₉	—	4	1	no	—
353	C₂²×D₁₉	—	4	1	no	—
354	C₂²×D₁₉	—	4	1	no	—
355	C₂²×D₁₉	#41	1	4	yes	—
356	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
357	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
358	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
359	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
360	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
361	Q₈×C₁₉	—	4	1	no	—
362	D₄×C₁₉	—	2	2	no	—
363	C₂×C₄×C₁₉	—	2	2	no	—
364	C₂×C₄×C₁₉	—	2	2	no	—
365	C₂×C₄×C₁₉	—	4	1	no	—
366	C₂×C₄×C₁₉	—	4	1	no	—
367	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
368	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
369	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
370	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
371	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
375	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
376	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
377	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
378	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
380	C₂²⋊D₁₉	—	2	2	no	—
381	C₂²⋊D₁₉	—	2	2	no	—
382	C₂²⋊D₁₉	—	4	1	no	—
383	C₂²⋊D₁₉	—	4	1	no	—
384	C₂×Dic₁₉	—	2	2	no	—
385	C₂×Dic₁₉	—	4	1	no	—
386	C₂×Dic₁₉	—	4	1	no	—
387	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
388	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
389	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
390	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
391	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
392	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
393	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
394	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
395	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
396	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
397	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
398	D₇₆	—	2	2	no	—
399	D₇₆	—	2	2	no	—
400	D₇₆	—	2	2	no	—
401	D₇₆	—	2	2	no	—
402	D₇₆	—	2	2	no	—
403	D₇₆	—	4	1	no	—
404	D₇₆	—	4	1	no	—
405	C₄×D₁₉	—	2	2	no	—
406	C₄×D₁₉	—	2	2	no	—
407	C₄×D₁₉	—	2	2	no	—
408	C₄×D₁₉	—	2	2	no	—
409	C₄×D₁₉	—	2	2	no	—
410	C₄×D₁₉	—	4	1	no	—
411	C₄×D₁₉	—	4	1	no	—
412	C₄×D₁₉	—	4	1	no	—
413	C₄×D₁₉	—	4	1	no	—
414	C₄×D₁₉	—	4	1	no	—
415	C₄×D₁₉	—	4	1	no	—
416	C₄×D₁₉	—	4	1	no	—
417	C₄×D₁₉	—	4	1	no	—
418	C₄×D₁₉	—	4	1	no	—
419	C₄×D₁₉	—	4	1	no	—
420	C₄×D₁₉	—	4	1	no	—
421	C₄×D₁₉	—	4	1	no	—
422	Dic₃₈	—	4	1	no	—
423	Dic₃₈	—	4	1	no	—
424	Dic₃₈	—	4	1	no	—
425	#3491	—	19	1	no	maximal, Sylow
426	C₂²×C₁₉	—	2	1	no	—
427	C₂²×C₁₉	—	2	1	no	—
428	C₂²×C₁₉	—	2	1	no	—
429	C₂²×C₁₉	—	2	1	no	—
430	C₂²×C₁₉	—	2	1	no	—
431	C₂²×C₁₉	C₂×#41	1	2	yes	—
432	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
433	C₂×D₁₉	—	2	1	no	—
434	C₂×D₁₉	—	2	1	no	—
435	C₂×D₁₉	—	2	1	no	—
436	C₂×D₁₉	—	2	1	no	—
437	C₂×D₁₉	—	2	1	no	—
438	C₂×D₁₉	—	2	1	no	—
439	C₂×D₁₉	—	2	1	no	—
440	C₂×D₁₉	—	2	1	no	—
441	C₂×D₁₉	—	2	1	no	—
442	C₂×D₁₉	—	2	1	no	—
443	C₂×D₁₉	—	2	1	no	—
444	C₂×D₁₉	—	2	1	no	—
445	C₂×D₁₉	—	2	1	no	—
446	C₂×D₁₉	—	4	4	no	—
447	C₂×D₁₉	—	8	2	no	—
448	C₂×D₁₉	—	8	2	no	—
449	C₂×D₁₉	C₂×#41	1	2	yes	—
450	C₂×D₁₉	C₂×#41	1	2	yes	—
451	C₄×C₁₉	—	2	1	no	—
452	C₄×C₁₉	—	2	1	no	—
453	C₄×C₁₉	—	2	1	no	—
454	C₄×C₁₉	—	2	1	no	—
455	C₄×C₁₉	—	2	1	no	—
456	C₄×C₁₉	—	2	1	no	—
457	C₄×C₁₉	—	2	1	no	—
458	C₄×C₁₉	—	2	1	no	—
459	C₄×C₁₉	—	2	1	no	—
460	C₄×C₁₉	—	2	1	no	—
461	C₄×C₁₉	—	2	1	no	—
462	C₄×C₁₉	—	2	1	no	—
463	C₄×C₁₉	—	2	1	no	—
464	Dic₁₉	—	2	1	no	—
465	Dic₁₉	—	2	1	no	—
466	Dic₁₉	—	2	1	no	—
467	Dic₁₉	—	2	1	no	—
468	Dic₁₉	—	2	1	no	—
469	Dic₁₉	—	2	1	no	—
470	Dic₁₉	—	2	1	no	—
471	Dic₁₉	—	2	1	no	—
472	Dic₁₉	—	2	1	no	—
473	Dic₁₉	—	2	1	no	—
474	Dic₁₉	—	2	1	no	—
475	#552	—	19	1	no	—
476	#552	—	19	1	no	—
477	#552	—	19	1	no	—
478	#552	—	19	1	no	—
479	#552	—	19	1	no	—
480	#552	—	19	1	no	—
481	#552	—	19	1	no	—
482	#552	D₁₉	1	1	yes	characteristic, complemented
483	#551	—	19	1	no	—
484	#551	—	19	1	no	—
485	#551	—	19	1	no	—
486	#551	—	19	1	no	—
487	#551	—	19	1	no	—
488	#551	—	19	1	no	—
489	#551	—	19	1	no	—
490	#551	—	19	1	no	—
491	#543	—	19	1	no	—
492	#539	—	19	1	no	—
493	#539	—	19	1	no	—
494	#539	—	19	1	no	—
495	#539	—	19	1	no	—
496	#534	—	19	1	no	—
497	#529	—	19	1	no	—
498	#529	—	19	1	no	—
499	#529	—	19	1	no	—
500	#529	—	19	1	no	—
501	C₂×#123	—	19	1	no	—
502	C₂×#123	—	19	1	no	—
503	#518	—	19	1	no	—
504	#518	—	19	1	no	—
505	C₂×#117	—	19	1	no	—
506	C₂×C₁₉	—	2	2	no	—
507	C₂×C₁₉	—	4	1	no	—
508	C₂×C₁₉	C₂²×#41	1	1	yes	characteristic
509	C₂×C₁₉	#585	1	1	yes	characteristic
510	C₂×C₁₉	#585	1	1	yes	characteristic
511	D₁₉	—	2	2	no	—
512	D₁₉	—	2	2	no	—
513	D₁₉	—	4	1	no	—
514	D₁₉	—	4	1	no	—
515	D₁₉	—	4	1	no	—
516	C₂²×D₄	—	19	1	no	—
517	C₂²×D₄	—	19	1	no	—
518	C₂³×C₄	—	19	1	no	—
519	#126	—	19	1	no	—
520	#126	—	19	1	no	—
521	#126	—	19	1	no	—
522	#126	—	19	1	no	—
523	#126	—	19	1	no	—
524	#126	—	19	1	no	—
525	#126	—	19	1	no	—
526	#126	—	19	1	no	—
527	#126	—	19	1	no	—
528	#126	—	19	1	no	—
529	#126	—	19	1	no	—
530	#126	—	19	1	no	—
531	#126	—	19	1	no	—
532	#126	—	19	1	no	—
533	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
534	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
535	#125	—	19	1	no	—
536	#125	—	19	1	no	—
537	#125	—	19	1	no	—
538	#125	—	19	1	no	—
539	#125	—	19	1	no	—
540	#125	—	19	1	no	—
541	#125	—	19	1	no	—
542	#125	—	19	1	no	—
543	#125	—	19	1	no	—
544	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
545	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
546	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
547	#124	—	19	1	no	—
548	#124	—	19	1	no	—
549	#124	—	19	1	no	—
550	#124	—	19	1	no	—
551	#123	—	19	1	no	—
552	#123	—	19	1	no	—
553	#123	—	19	1	no	—
554	#123	—	19	1	no	—
555	#123	—	19	1	no	—
556	#123	—	19	1	no	—
557	#123	—	19	1	no	—
558	#123	—	19	1	no	—
559	#123	—	19	1	no	—
560	#123	—	19	1	no	—
561	#123	—	19	1	no	—
562	#123	—	19	1	no	—
563	#123	—	19	1	no	—
564	#123	—	19	1	no	—
565	#123	—	19	1	no	—
566	#123	—	19	1	no	—
567	#123	—	19	1	no	—
568	#123	—	19	1	no	—
569	#123	—	19	1	no	—
570	#123	—	19	1	no	—
571	#123	—	19	1	no	—
572	#123	—	19	1	no	—
573	#123	—	19	1	no	—
574	#123	—	19	1	no	—
575	#123	—	19	1	no	—
576	#123	—	19	1	no	—
577	#123	C₂×D₁₉	1	1	yes	characteristic
578	#123	C₂×D₁₉	1	1	yes	characteristic
579	C₂²⋊Q₈	—	19	1	no	—
580	C₂²⋊Q₈	—	19	1	no	—
581	C₂²⋊Q₈	—	19	1	no	—
582	C₂²⋊Q₈	—	19	1	no	—
583	C₂²⋊Q₈	—	19	1	no	—
584	C₂²⋊Q₈	—	19	1	no	—
585	C₂²⋊Q₈	—	19	1	no	—
586	C₂²⋊Q₈	—	19	1	no	—
587	C₂²⋊Q₈	—	19	1	no	—
588	C₂²⋊Q₈	—	19	1	no	—
589	C₂²⋊Q₈	—	19	1	no	—
590	C₂²⋊Q₈	—	19	1	no	—
591	C₂²⋊Q₈	—	19	1	no	—
592	C₂²⋊Q₈	—	19	1	no	—
593	C₂²⋊Q₈	—	19	1	no	—
594	C₂²⋊Q₈	—	19	1	no	—
595	C₂²⋊Q₈	—	19	1	no	—
596	C₂²⋊Q₈	—	19	1	no	—
597	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
598	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
599	#121	—	19	1	no	—
600	#121	—	19	1	no	—
601	#121	—	19	1	no	—
602	#121	—	19	1	no	—
603	#120	—	19	1	no	—
604	#120	—	19	1	no	—
605	#120	—	19	1	no	—
606	#120	—	19	1	no	—
607	C₄×Q₈	—	19	1	no	—
608	C₄×Q₈	—	19	1	no	—
609	C₄×Q₈	—	19	1	no	—
610	C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
611	C₄×D₄	—	19	1	no	—
612	C₄×D₄	—	19	1	no	—
613	C₄×D₄	—	19	1	no	—
614	C₄×D₄	—	19	1	no	—
615	C₄×D₄	—	19	1	no	—
616	C₄×D₄	—	19	1	no	—
617	C₄×D₄	—	19	1	no	—
618	C₄×D₄	—	19	1	no	—
619	C₄×D₄	—	19	1	no	—
620	C₄×D₄	—	19	1	no	—
621	C₄×D₄	—	19	1	no	—
622	C₄×D₄	—	19	1	no	—
623	C₄×D₄	—	19	1	no	—
624	C₄×D₄	—	19	1	no	—
625	C₄×D₄	—	19	1	no	—
626	C₄×D₄	—	19	1	no	—
627	C₄×D₄	—	19	1	no	—
628	C₄×D₄	—	19	1	no	—
629	C₄×D₄	—	19	1	no	—
630	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
631	#117	—	19	1	no	—
632	#117	—	19	1	no	—
633	#117	—	19	1	no	—
634	#117	—	19	1	no	—
635	#117	—	19	1	no	—
636	#117	—	19	1	no	—
637	#117	—	19	1	no	—
638	#117	—	19	1	no	—
639	#117	—	19	1	no	—
640	#117	—	19	1	no	—
641	#117	—	19	1	no	—
642	#117	—	19	1	no	—
643	#117	—	19	1	no	—
644	#117	—	19	1	no	—
645	#117	—	19	1	no	—
646	#117	—	19	1	no	—
647	#117	—	19	1	no	—
648	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
649	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
650	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
651	C₂×C₄⋊C₄	—	19	1	no	—
652	C₂×C₄⋊C₄	—	19	1	no	—
653	C₂×C₄⋊C₄	—	19	1	no	—
654	C₂×C₄⋊C₄	—	19	1	no	—
655	C₂×C₄⋊C₄	—	19	1	no	—
656	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
657	C₂×C₂²⋊C₄	—	19	1	no	—
658	C₂×C₂²⋊C₄	—	19	1	no	—
659	C₂×C₂²⋊C₄	—	19	1	no	—
660	C₂×C₂²⋊C₄	—	19	1	no	—
661	C₂×C₂²⋊C₄	—	19	1	no	—
662	C₂×C₂²⋊C₄	—	19	1	no	—
663	C₂×C₂²⋊C₄	—	19	1	no	—
664	C₂×C₂²⋊C₄	—	19	1	no	—
665	C₂×C₂²⋊C₄	—	19	1	no	—
666	C₂×C₂²⋊C₄	—	19	1	no	—
667	C₂×C₂²⋊C₄	—	19	1	no	—
668	C₂×C₂²⋊C₄	—	19	1	no	—
669	C₂×C₄²	—	19	1	no	—
670	C₂×C₄²	—	19	1	no	—
671	C₁₉	#3491	1	1	yes	characteristic, complemented, Sylow
672	C₂⁴	—	19	1	no	—
673	C₂⁴	—	19	1	no	—
674	C₂⁴	—	19	1	no	—
675	C₂×Q₈	—	19	1	no	—
676	C₂×Q₈	—	19	1	no	—
677	C₂×Q₈	—	19	1	no	—
678	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
679	C₂×D₄	—	19	1	no	—
680	C₂×D₄	—	19	1	no	—
681	C₂×D₄	—	19	1	no	—
682	C₂×D₄	—	19	1	no	—
683	C₂×D₄	—	19	1	no	—
684	C₂×D₄	—	19	1	no	—
685	C₂×D₄	—	19	1	no	—
686	C₂×D₄	—	19	1	no	—
687	C₂×D₄	—	19	1	no	—
688	C₂×D₄	—	19	1	no	—
689	C₂×D₄	—	19	1	no	—
690	C₂×D₄	—	38	4	no	—
691	C₂×D₄	—	38	4	no	—
692	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
693	C₂²×C₄	—	19	1	no	—
694	C₂²×C₄	—	19	1	no	—
695	C₂²×C₄	—	19	1	no	—
696	C₂²×C₄	—	19	1	no	—
697	C₂²×C₄	—	19	1	no	—
698	C₂²×C₄	—	19	1	no	—
699	C₂²×C₄	—	19	1	no	—
700	C₂²×C₄	—	19	1	no	—
701	C₂²×C₄	—	19	1	no	—
702	C₂²×C₄	—	19	1	no	—
703	C₂²×C₄	—	19	1	no	—
704	C₂²×C₄	—	19	1	no	—
705	C₂²×C₄	—	19	1	no	—
706	C₂²×C₄	—	19	1	no	—
707	C₂²×C₄	—	19	1	no	—
708	C₂²×C₄	—	19	1	no	—
709	C₂²×C₄	—	19	1	no	—
710	C₂²×C₄	—	19	1	no	—
711	C₂²×C₄	—	19	1	no	—
712	C₂²×C₄	—	19	1	no	—
713	C₂²×C₄	—	38	4	no	—
714	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
715	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
716	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
717	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
718	C₄⋊C₄	—	19	1	no	—
719	C₄⋊C₄	—	19	1	no	—
720	C₄⋊C₄	—	19	1	no	—
721	C₄⋊C₄	—	19	1	no	—
722	C₄⋊C₄	—	19	1	no	—
723	C₄⋊C₄	—	19	1	no	—
724	C₄⋊C₄	—	19	1	no	—
725	C₄⋊C₄	—	19	1	no	—
726	C₄⋊C₄	—	19	1	no	—
727	C₄⋊C₄	—	19	1	no	—
728	C₄⋊C₄	—	19	1	no	—
729	C₄⋊C₄	—	19	1	no	—
730	C₄⋊C₄	—	19	1	no	—
731	C₄⋊C₄	—	19	1	no	—
732	C₄⋊C₄	—	19	1	no	—
733	C₄⋊C₄	—	19	1	no	—
734	C₄⋊C₄	—	19	1	no	—
735	C₄⋊C₄	—	19	1	no	—
736	C₄⋊C₄	—	19	1	no	—
737	C₄⋊C₄	—	19	1	no	—
738	C₄⋊C₄	—	19	1	no	—
739	C₄⋊C₄	—	19	1	no	—
740	C₄⋊C₄	—	19	1	no	—
741	C₄⋊C₄	—	19	1	no	—
742	C₄⋊C₄	—	19	1	no	—
743	C₄⋊C₄	—	19	1	no	—
744	C₄⋊C₄	—	19	1	no	—
745	C₄⋊C₄	—	19	1	no	—
746	C₄⋊C₄	—	19	1	no	—
747	C₄⋊C₄	—	19	1	no	—
748	C₄⋊C₄	—	19	1	no	—
749	C₄⋊C₄	—	19	1	no	—
750	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
751	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
752	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
753	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
754	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
755	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
756	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
757	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
758	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
759	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
760	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
761	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
762	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
763	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
764	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
765	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
766	C₂²⋊C₄	—	19	1	no	—
767	C₂²⋊C₄	—	19	1	no	—
768	C₂²⋊C₄	—	19	1	no	—
769	C₂²⋊C₄	—	19	1	no	—
770	C₂²⋊C₄	—	19	1	no	—
771	C₂²⋊C₄	—	19	1	no	—
772	C₂²⋊C₄	—	19	1	no	—
773	C₂²⋊C₄	—	19	1	no	—
774	C₂²⋊C₄	—	19	1	no	—
775	C₂²⋊C₄	—	19	1	no	—
776	C₂²⋊C₄	—	19	1	no	—
777	C₂²⋊C₄	—	19	1	no	—
778	C₂²⋊C₄	—	19	1	no	—
779	C₂²⋊C₄	—	19	1	no	—
780	C₂²⋊C₄	—	19	1	no	—
781	C₂²⋊C₄	—	19	1	no	—
782	C₂²⋊C₄	—	19	1	no	—
783	C₂²⋊C₄	—	19	1	no	—
784	C₂²⋊C₄	—	19	1	no	—
785	C₂²⋊C₄	—	19	1	no	—
786	C₂²⋊C₄	—	19	1	no	—
787	C₂²⋊C₄	—	19	1	no	—
788	C₂²⋊C₄	—	19	1	no	—
789	C₂²⋊C₄	—	19	1	no	—
790	C₂²⋊C₄	—	19	1	no	—
791	C₂²⋊C₄	—	19	1	no	—
792	C₂²⋊C₄	—	19	1	no	—
793	C₂²⋊C₄	—	19	1	no	—
794	C₂²⋊C₄	—	19	1	no	—
795	C₂²⋊C₄	—	19	1	no	—
796	C₂²⋊C₄	—	19	1	no	—
797	C₂²⋊C₄	—	19	1	no	—
798	C₂²⋊C₄	—	19	1	no	—
799	C₂²⋊C₄	—	19	1	no	—
800	C₂²⋊C₄	—	19	1	no	—
801	C₂²⋊C₄	—	19	1	no	—
802	C₂²⋊C₄	—	19	1	no	—
803	C₂²⋊C₄	—	19	1	no	—
804	C₂²⋊C₄	—	19	1	no	—
805	C₂²⋊C₄	—	19	1	no	—
806	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
807	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
808	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
809	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
810	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
811	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
812	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
813	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
814	C₄²	—	19	1	no	—
815	C₄²	—	19	1	no	—
816	C₄²	—	19	1	no	—
817	C₄²	—	19	1	no	—
818	C₄²	—	19	1	no	—
819	C₄²	—	19	1	no	—
820	C₄²	—	19	1	no	—
821	C₄²	—	19	1	no	—
822	C₄²	—	19	1	no	—
823	C₄²	—	19	1	no	—
824	C₄²	—	19	1	no	—
825	C₄²	C₂²×D₁₉	1	1	yes	characteristic
826	C₄²	C₂²×D₁₉	1	1	yes	characteristic
827	C₄²	C₂²×D₁₉	1	1	yes	characteristic
828	C₄²	C₂²×D₁₉	1	1	yes	characteristic
829	C₄²	C₂²×D₁₉	1	1	yes	characteristic
830	C₂³	—	19	1	no	—
831	C₂³	—	19	1	no	—
832	C₂³	—	19	4	no	—
833	C₂³	—	19	1	no	—
834	C₂³	—	19	1	no	—
835	C₂³	—	19	1	no	—
836	C₂³	—	38	2	no	—
837	C₂³	—	38	2	no	—
838	C₂³	—	76	1	no	—
839	C₂³	—	76	1	no	—
840	C₂³	—	76	1	no	—
841	C₂³	—	76	1	no	—
842	C₂³	—	76	1	no	—
843	C₂³	—	76	1	no	—
844	C₂³	C₂³×D₁₉	1	1	yes	characteristic
845	C₂³	C₂³×D₁₉	1	1	yes	characteristic
846	Q₈	—	4	1	no	—
847	Q₈	—	76	1	no	—
848	Q₈	—	76	1	no	—
849	Q₈	—	76	1	no	—
850	D₄	—	2	2	no	—
851	D₄	—	38	2	no	—
852	D₄	—	38	2	no	—
853	D₄	—	38	2	no	—
854	D₄	—	38	2	no	—
855	D₄	—	38	2	no	—
856	D₄	—	38	2	no	—
857	D₄	—	38	2	no	—
858	D₄	—	76	1	no	—
859	D₄	—	76	1	no	—
860	D₄	—	76	1	no	—
861	D₄	—	76	1	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	2	no	—
864	C₂×C₄	—	4	1	no	—
865	C₂×C₄	—	4	1	no	—
866	C₂×C₄	—	19	1	no	—
867	C₂×C₄	—	19	1	no	—
868	C₂×C₄	—	19	1	no	—
869	C₂×C₄	—	19	1	no	—
870	C₂×C₄	—	19	1	no	—
871	C₂×C₄	—	19	1	no	—
872	C₂×C₄	—	19	1	no	—
873	C₂×C₄	—	19	1	no	—
874	C₂×C₄	—	19	1	no	—
875	C₂×C₄	—	19	1	no	—
876	C₂×C₄	—	19	1	no	—
877	C₂×C₄	—	38	2	no	—
878	C₂×C₄	—	38	2	no	—
879	C₂×C₄	—	38	2	no	—
880	C₂×C₄	—	38	2	no	—
881	C₂×C₄	—	38	2	no	—
882	C₂×C₄	—	38	2	no	—
883	C₂×C₄	—	76	1	no	—
884	C₂×C₄	—	76	1	no	—
885	C₂×C₄	—	76	1	no	—
886	C₂×C₄	—	76	1	no	—
887	C₂×C₄	—	76	1	no	—
888	C₂×C₄	—	76	1	no	—
889	C₂×C₄	—	76	1	no	—
890	C₂×C₄	—	76	1	no	—
891	C₂×C₄	—	76	1	no	—
892	C₂×C₄	—	76	1	no	—
893	C₂×C₄	—	76	1	no	—
894	C₂×C₄	—	76	1	no	—
895	C₂×C₄	—	76	1	no	—
896	C₂×C₄	—	76	1	no	—
897	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
898	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
899	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
900	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
901	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
902	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
903	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
904	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
905	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
906	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
907	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
908	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
909	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
910	C₂²	—	2	1	no	—
911	C₂²	—	2	1	no	—
912	C₂²	—	2	1	no	—
913	C₂²	—	2	1	no	—
914	C₂²	—	2	1	no	—
915	C₂²	—	19	2	no	—
916	C₂²	—	19	2	no	—
917	C₂²	—	38	1	no	—
918	C₂²	—	38	1	no	—
919	C₂²	—	38	1	no	—
920	C₂²	—	38	1	no	—
921	C₂²	—	38	1	no	—
922	C₂²	—	38	1	no	—
923	C₂²	—	38	1	no	—
924	C₂²	—	38	1	no	—
925	C₂²	—	38	1	no	—
926	C₂²	—	38	1	no	—
927	C₂²	—	38	1	no	—
928	C₂²	—	38	1	no	—
929	C₂²	—	38	1	no	—
930	C₂²	—	76	4	no	—
931	C₂²	—	152	2	no	—
932	C₂²	—	152	2	no	—
933	C₂²	#41×D₁₉	1	2	yes	—
934	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
935	C₄	—	2	1	no	—
936	C₄	—	2	1	no	—
937	C₄	—	2	1	no	—
938	C₄	—	2	1	no	—
939	C₄	—	2	1	no	—
940	C₄	—	2	1	no	—
941	C₄	—	2	1	no	—
942	C₄	—	2	1	no	—
943	C₄	—	2	1	no	—
944	C₄	—	2	1	no	—
945	C₄	—	2	1	no	—
946	C₄	—	2	1	no	—
947	C₄	—	2	1	no	—
948	C₄	—	38	1	no	—
949	C₄	—	38	1	no	—
950	C₄	—	38	1	no	—
951	C₄	—	38	1	no	—
952	C₄	—	38	1	no	—
953	C₄	—	38	1	no	—
954	C₄	—	38	1	no	—
955	C₄	—	38	1	no	—
956	C₄	—	38	1	no	—
957	C₄	—	38	1	no	—
958	C₄	—	38	1	no	—
959	C₂	—	2	2	no	—
960	C₂	—	4	1	no	—
961	C₂	—	38	2	no	—
962	C₂	—	38	2	no	—
963	C₂	—	76	1	no	—
964	C₂	—	76	1	no	—
965	C₂	—	76	1	no	—
966	C₂	C₂×#41×D₁₉	1	1	yes	characteristic
967	C₂	#11927380	1	1	yes	characteristic
968	C₂	#11927381	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#552	C₂
prime radical	#11927105	C₂
hypercenter	#552	D₁₉
hypocenter	C₁₉	#3491
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #552

Complements

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

N	H ≅ G/N	type
1. #11927235	C₂	semidirect
2. #11927232	C₂	semidirect
3. #11927231	C₂	semidirect
4. #11927229	C₂	semidirect
5. #11927227	C₂	semidirect
6. #11927226	C₂	semidirect
7. #11927226	C₂	semidirect
8. #11927223	C₂	semidirect
9. #11927221	C₂	semidirect
10. #11927221	C₂	semidirect
11. #11927219	C₂	semidirect
12. #11927219	C₂	semidirect
13. #11927218	C₂	semidirect
14. #11927218	C₂	semidirect
15. #11927217	C₂	semidirect
16. #11927169	C₂	semidirect
17. #11927142	C₂	semidirect
18. #11927142	C₂	semidirect
19. #11927140	C₂	semidirect
20. #11927135	C₂	semidirect
22. #11927081	C₂	semidirect
23. #11927079	C₂	semidirect
24. #11927077	C₂	semidirect
25. #11927072	C₂	semidirect
26. C₂×#10597340	C₂	semidirect
27. #123×D₁₉	C₂	semidirect
28. #11927018	C₂	semidirect
29. #11927016	C₂	semidirect
30. #117×D₁₉	C₂	semidirect
31. C₁₉×#552	C₂	semidirect
35. C₁₉×#126	C₂²	semidirect
36. C₁₉×#126	C₂²	semidirect
37. C₁₉×#125	C₂²	semidirect
38. C₁₉×#125	C₂²	semidirect
39. C₁₉×#125	C₂²	semidirect
42. C₁₉×C₂²⋊Q₈	C₂²	semidirect
43. C₁₉×C₂²⋊Q₈	C₂²	semidirect
44. C₄×Q₈×C₁₉	C₂²	semidirect
46. C₁₉×#117	C₂²	semidirect
47. C₁₉×#117	C₂²	semidirect
48. C₁₉×#117	C₂²	semidirect
49. C₂×C₄⋊C₄×C₁₉	C₂²	semidirect
50. #10597393	C₂²	semidirect
51. #10597392	C₂²	semidirect
52. #10597392	C₂²	semidirect
53. #10597392	C₂²	semidirect
59. #10597375	C₂²	semidirect
61. C₄×C₂²⋊D₁₉	C₂²	semidirect
62. C₄×C₂²⋊D₁₉	C₂²	semidirect
64. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
65. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
66. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
67. #10597372	C₂²	semidirect
68. #10597372	C₂²	semidirect
69. #10597370	C₂²	semidirect
70. C₂×Dic₁₉⋊C₄	C₂²	semidirect
71. #10597344	C₂²	semidirect
72. #10597344	C₂²	semidirect
73. #10597344	C₂²	semidirect
74. #10597344	C₂²	semidirect
75. #10597344	C₂²	semidirect
76. #10597344	C₂²	semidirect
77. #10597344	C₂²	semidirect
78. #10597344	C₂²	semidirect
79. #10597344	C₂²	semidirect
80. #10597343	C₂²	semidirect
81. #10597343	C₂²	semidirect
82. #10597343	C₂²	semidirect
83. #10597343	C₂²	semidirect
84. #10597342	C₂²	semidirect
85. #10597342	C₂²	semidirect
86. #10597342	C₂²	semidirect
87. #10597342	C₂²	semidirect
88. #10597342	C₂²	semidirect
89. #10597342	C₂²	semidirect
90. #10597342	C₂²	semidirect
99. #10597340	C₂²	semidirect
100. #10597340	C₂²	semidirect
101. #10597340	C₂²	semidirect
102. #10597340	C₂²	semidirect
103. #10597340	C₂²	semidirect
104. #10597340	C₂²	semidirect
105. #10597340	C₂²	semidirect
106. #10597340	C₂²	semidirect
107. #10597340	C₂²	semidirect
108. #10597340	C₂²	semidirect
111. #10597339	C₂²	semidirect
112. #10597339	C₂²	semidirect
113. #10597339	C₂²	semidirect
114. #10597339	C₂²	semidirect
115. #10597338	C₂²	semidirect
116. #10597338	C₂²	semidirect
117. #10597338	C₂²	semidirect
118. #10597338	C₂²	semidirect
119. #10597338	C₂²	semidirect
120. #10597338	C₂²	semidirect
121. C₄⋊C₄×D₁₉	C₂²	semidirect
122. C₄⋊C₄×D₁₉	C₂²	semidirect
123. C₄⋊C₄×D₁₉	C₂²	semidirect
124. C₄⋊C₄×D₁₉	C₂²	semidirect
125. #10597336	C₂²	semidirect
126. #10597336	C₂²	semidirect
127. #10597335	C₂²	semidirect
128. #10597335	C₂²	semidirect
129. #10597335	C₂²	semidirect
130. #10597335	C₂²	semidirect
131. #10597335	C₂²	semidirect
132. #10597335	C₂²	semidirect
133. #10597333	C₂²	semidirect
134. #10597333	C₂²	semidirect
136. #10597332	C₂²	semidirect
137. #10597331	C₂²	semidirect
138. #10597331	C₂²	semidirect
141. #10597329	C₂²	semidirect
142. #10597329	C₂²	semidirect
143. #10597329	C₂²	semidirect
144. #10597329	C₂²	semidirect
149. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
150. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
154. C₂²⋊C₄×D₁₉	C₂²	semidirect
155. C₂²⋊C₄×D₁₉	C₂²	semidirect
156. C₂²⋊C₄×D₁₉	C₂²	semidirect
157. C₂²⋊C₄×D₁₉	C₂²	semidirect
158. C₂²⋊C₄×D₁₉	C₂²	semidirect
159. #10597325	C₂²	semidirect
160. #10597325	C₂²	semidirect
161. #10597324	C₂²	semidirect
162. #10597324	C₂²	semidirect
163. #10597324	C₂²	semidirect
164. #10597323	C₂²	semidirect
165. #10597323	C₂²	semidirect
166. #10597323	C₂²	semidirect
167. #10597322	C₂²	semidirect
168. #10597322	C₂²	semidirect
169. #10597322	C₂²	semidirect
170. #10597321	C₂²	semidirect
173. C₄×D₇₆	C₂²	semidirect
174. C₄×D₇₆	C₂²	semidirect
175. C₄×D₇₆	C₂²	semidirect
176. C₄×D₇₆	C₂²	semidirect
177. #10597318	C₂²	semidirect
178. #10597318	C₂²	semidirect
179. #10597318	C₂²	semidirect
180. #10597318	C₂²	semidirect
181. #10597318	C₂²	semidirect
182. #10597318	C₂²	semidirect
183. C₄²×D₁₉	C₂²	semidirect
184. C₄²×D₁₉	C₂²	semidirect
185. #10597316	C₂²	semidirect
186. C₄×Dic₃₈	C₂²	semidirect
482. #552	D₁₉	semidirect
533. #126	C₂×D₁₉	semidirect
534. #126	C₂×D₁₉	semidirect
544. #125	C₂×D₁₉	semidirect
545. #125	C₂×D₁₉	semidirect
546. #125	C₂×D₁₉	semidirect
597. C₂²⋊Q₈	C₂×D₁₉	semidirect
598. C₂²⋊Q₈	C₂×D₁₉	semidirect
610. C₄×Q₈	C₂×D₁₉	semidirect
648. #117	C₂×D₁₉	semidirect
649. #117	C₂×D₁₉	semidirect
650. #117	C₂×D₁₉	semidirect
656. C₂×C₄⋊C₄	C₂×D₁₉	semidirect
671. C₁₉	#3491	semidirect

Maximal subgroups

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

subgroup	index
#11927235	2
#11927232	2
#11927231	2
#11927229	2
#11927227	2
#11927226	2
#11927223	2
#11927221	2
#11927219	2
#11927218	2
#11927217	2
#11927169	2
#11927142	2
#11927140	2
#11927135	2
#11927105	2
#11927081	2
#11927079	2
#11927077	2
#11927072	2
C₂×#10597340	2
#123×D₁₉	2
#11927018	2
#11927016	2
#117×D₁₉	2
C₁₉×#552	2
#3491	19