Subgroups — #14577317

Order 2432.

1328 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927225	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927224	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927223	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927223	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927222	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927221	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927220	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927217	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927191	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927188	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927184	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927183	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927183	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927182	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927181	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927169	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927130	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927128	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927126	C₂	1	1	yes	maximal, characteristic, complemented
20	#11927126	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927104	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927054	C₂	1	1	yes	maximal, characteristic, complemented
23	#11927053	C₂	1	1	yes	maximal, characteristic, complemented
24	#11927052	C₂	1	1	yes	maximal, characteristic, complemented
25	#11927051	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#10597383	C₂	1	1	yes	maximal, characteristic, complemented
27	#120×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#11927017	C₂	1	1	yes	maximal, characteristic, complemented
29	#11927016	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₂²⋊C₄×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#546	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×D₁₉	C₂²	1	1	yes	characteristic
33	C₂×#41×C₁₉	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
36	C₂²×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
38	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
40	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×#124	C₂²	1	1	yes	characteristic, complemented
46	C₁₉×#123	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#123	C₂²	1	1	yes	characteristic, complemented
48	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×#121	C₂²	1	1	yes	characteristic, complemented
52	C₁₉×#120	C₂²	1	1	yes	characteristic
53	C₁₉×#120	C₂²	1	1	yes	characteristic, complemented
54	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
55	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₂²⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
58	#10597399	C₂²	1	1	yes	characteristic
59	#10597399	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₂²⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₂²⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₂²⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
63	#10597393	C₂²	1	1	yes	characteristic, complemented
64	#10597392	C₂²	1	1	yes	characteristic, complemented
65	#10597392	C₂²	1	1	yes	characteristic, complemented
66	#10597392	C₂²	1	1	yes	characteristic, complemented
67	#10597385	C₂²	1	1	yes	characteristic, complemented
68	#10597385	C₂²	1	1	yes	characteristic, complemented
69	#10597385	C₂²	1	1	yes	characteristic, complemented
70	#10597385	C₂²	1	1	yes	characteristic, complemented
71	#10597384	C₂²	1	1	yes	characteristic, complemented
72	#10597384	C₂²	1	1	yes	characteristic, complemented
73	#10597384	C₂²	1	1	yes	characteristic, complemented
74	#10597384	C₂²	1	1	yes	characteristic, complemented
75	#10597383	C₂²	1	1	yes	characteristic
76	#10597383	C₂²	1	1	yes	characteristic
77	#10597383	C₂²	1	1	yes	characteristic
78	#10597383	C₂²	1	1	yes	characteristic
79	#10597383	C₂²	1	1	yes	characteristic
80	#10597383	C₂²	1	1	yes	characteristic, complemented
81	#10597383	C₂²	1	1	yes	characteristic, complemented
82	#10597383	C₂²	1	1	yes	characteristic, complemented
83	#10597383	C₂²	1	1	yes	characteristic, complemented
84	#10597383	C₂²	1	1	yes	characteristic, complemented
85	#10597383	C₂²	1	1	yes	characteristic, complemented
86	#10597383	C₂²	1	1	yes	characteristic, complemented
87	#10597383	C₂²	1	1	yes	characteristic, complemented
88	#10597382	C₂²	1	1	yes	characteristic, complemented
89	#10597382	C₂²	1	1	yes	characteristic, complemented
90	#10597381	C₂²	1	1	yes	characteristic, complemented
91	#10597381	C₂²	1	1	yes	characteristic, complemented
92	#10597381	C₂²	1	1	yes	characteristic, complemented
93	#10597381	C₂²	1	1	yes	characteristic, complemented
94	#10597381	C₂²	1	1	yes	characteristic, complemented
95	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
96	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
97	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
98	#10597376	C₂²	1	1	yes	characteristic, complemented
99	#10597375	C₂²	1	1	yes	characteristic, complemented
100	#10597375	C₂²	1	1	yes	characteristic, complemented
101	#10597375	C₂²	1	1	yes	characteristic, complemented
102	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
103	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
104	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
105	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
106	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
107	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
111	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
112	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	#10597372	C₂²	1	1	yes	characteristic, complemented
117	#10597370	C₂²	1	1	yes	characteristic, complemented
118	#10597370	C₂²	1	1	yes	characteristic, complemented
119	#10597344	C₂²	1	1	yes	characteristic, complemented
120	#10597344	C₂²	1	1	yes	characteristic, complemented
121	#10597344	C₂²	1	1	yes	characteristic, complemented
122	#10597343	C₂²	1	1	yes	characteristic, complemented
123	#10597343	C₂²	1	1	yes	characteristic, complemented
124	#10597342	C₂²	1	1	yes	characteristic, complemented
125	#10597342	C₂²	1	1	yes	characteristic, complemented
126	#10597342	C₂²	1	1	yes	characteristic, complemented
127	#10597342	C₂²	1	1	yes	characteristic, complemented
128	#10597342	C₂²	1	1	yes	characteristic, complemented
129	#10597340	C₂²	1	1	yes	characteristic, complemented
130	#10597340	C₂²	1	1	yes	characteristic, complemented
131	#10597339	C₂²	1	1	yes	characteristic, complemented
132	#10597339	C₂²	1	1	yes	characteristic, complemented
133	#10597338	C₂²	1	1	yes	characteristic, complemented
134	#10597338	C₂²	1	1	yes	characteristic, complemented
135	#10597332	C₂²	1	1	yes	characteristic, complemented
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	#10597331	C₂²	1	1	yes	characteristic, complemented
140	#10597331	C₂²	1	1	yes	characteristic, complemented
141	#10597330	C₂²	1	1	yes	characteristic, complemented
142	#10597330	C₂²	1	1	yes	characteristic, complemented
143	#10597330	C₂²	1	1	yes	characteristic, complemented
144	#10597330	C₂²	1	1	yes	characteristic, complemented
145	#10597329	C₂²	1	1	yes	characteristic, complemented
146	#10597329	C₂²	1	1	yes	characteristic, complemented
147	#10597329	C₂²	1	1	yes	characteristic, complemented
148	#10597329	C₂²	1	1	yes	characteristic, complemented
149	#10597329	C₂²	1	1	yes	characteristic, complemented
150	#10597329	C₂²	1	1	yes	characteristic, complemented
151	#10597328	C₂²	1	1	yes	characteristic
152	#10597328	C₂²	1	1	yes	characteristic, complemented
153	#10597328	C₂²	1	1	yes	characteristic, complemented
154	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
162	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
163	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
165	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
172	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
173	#10597325	C₂²	1	1	yes	characteristic, complemented
174	#10597325	C₂²	1	1	yes	characteristic, complemented
175	#10597325	C₂²	1	1	yes	characteristic, complemented
176	#10597325	C₂²	1	1	yes	characteristic, complemented
177	#10597324	C₂²	1	1	yes	characteristic, complemented
178	#10597324	C₂²	1	1	yes	characteristic, complemented
179	#10597324	C₂²	1	1	yes	characteristic, complemented
180	#10597323	C₂²	1	1	yes	characteristic, complemented
181	#10597323	C₂²	1	1	yes	characteristic, complemented
182	#10597323	C₂²	1	1	yes	characteristic, complemented
183	#10597322	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₇₆	C₂²	1	1	yes	characteristic, complemented
185	#10597318	C₂²	1	1	yes	characteristic, complemented
186	#10597318	C₂²	1	1	yes	characteristic, complemented
187	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
188	C₂⁴×C₁₉	C₂³	1	1	yes	characteristic
189	C₂³×D₁₉	—	2	4	no	—
190	C₂³×D₁₉	—	4	2	no	—
191	C₂³×D₁₉	—	4	2	no	—
192	C₂³×D₁₉	C₂³	1	1	yes	characteristic
193	C₂³×D₁₉	C₂³	1	1	yes	characteristic
194	C₂³×D₁₉	C₂³	1	1	yes	characteristic
195	C₂³×D₁₉	C₂³	1	1	yes	characteristic
196	C₂³×D₁₉	C₂³	1	1	yes	characteristic
197	C₂³×D₁₉	C₂³	1	1	yes	characteristic
198	C₂³×D₁₉	C₂³	1	1	yes	characteristic
199	#41×C₁₉	—	4	2	no	—
200	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic, complemented
201	C₂×D₄×C₁₉	—	4	2	no	—
202	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
203	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
204	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
205	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
206	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
207	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
208	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
209	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
210	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
211	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
212	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
213	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
214	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
215	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
216	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
217	C₂×C₂²⋊D₁₉	—	2	4	no	—
218	C₂×C₂²⋊D₁₉	—	4	2	no	—
219	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic, complemented
234	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic, complemented
235	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
236	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
237	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
238	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
239	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
240	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
241	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
242	#64543	—	4	2	no	—
243	#64543	—	4	2	no	—
244	D₄×D₁₉	—	2	4	no	—
245	D₄×D₁₉	—	4	2	no	—
246	D₄×D₁₉	—	4	2	no	—
247	#64541	—	4	2	no	—
248	C₂×D₇₆	C₂³	1	1	yes	characteristic
249	C₂×D₇₆	C₂³	1	1	yes	characteristic
250	C₂×D₇₆	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₁₉	—	4	2	no	—
252	C₂×C₄×D₁₉	—	4	2	no	—
253	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic, complemented
265	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic, complemented
266	C₂×Dic₃₈	C₂³	1	1	yes	characteristic, complemented
267	C₂×Dic₃₈	C₂³	1	1	yes	characteristic, complemented
268	C₂×Dic₃₈	C₂³	1	1	yes	characteristic, complemented
269	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
270	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
271	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
272	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
273	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
274	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
275	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
276	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
277	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
278	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
279	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
280	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
281	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
282	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
283	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
284	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic, complemented
285	C₄²×C₁₉	C₂³	1	1	yes	characteristic, complemented
286	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
287	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
288	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
289	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
290	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
291	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
292	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
293	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
294	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
295	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
296	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
297	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
298	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
299	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
300	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
301	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
302	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
303	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
304	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic, complemented
327	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic, complemented
328	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic, complemented
329	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic, complemented
330	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
331	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
332	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
333	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
334	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
335	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic, complemented
336	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
337	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
338	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
339	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
340	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
341	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
342	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
343	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
344	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
345	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
346	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
347	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
348	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
349	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic, complemented
350	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
351	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
352	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
353	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
354	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
355	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
356	C₄×Dic₁₉	C₂³	1	1	yes	characteristic, complemented
357	C₂³×C₁₉	—	2	2	no	—
358	C₂³×C₁₉	—	2	2	no	—
359	C₂³×C₁₉	—	2	2	no	—
360	C₂³×C₁₉	—	4	1	no	—
361	C₂³×C₁₉	—	4	1	no	—
362	C₂³×C₁₉	—	4	1	no	—
363	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
364	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
365	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
366	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
367	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
368	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
369	C₂²×D₁₉	—	2	2	no	—
370	C₂²×D₁₉	—	2	2	no	—
371	C₂²×D₁₉	—	2	2	no	—
372	C₂²×D₁₉	—	2	2	no	—
373	C₂²×D₁₉	—	2	2	no	—
374	C₂²×D₁₉	—	2	2	no	—
375	C₂²×D₁₉	—	2	2	no	—
376	C₂²×D₁₉	—	2	2	no	—
377	C₂²×D₁₉	—	2	2	no	—
378	C₂²×D₁₉	—	2	2	no	—
379	C₂²×D₁₉	—	2	2	no	—
380	C₂²×D₁₉	—	4	1	no	—
381	C₂²×D₁₉	—	4	1	no	—
382	C₂²×D₁₉	—	4	1	no	—
383	C₂²×D₁₉	—	4	1	no	—
384	C₂²×D₁₉	—	4	1	no	—
385	C₂²×D₁₉	—	4	1	no	—
386	C₂²×D₁₉	—	4	1	no	—
387	C₂²×D₁₉	—	4	1	no	—
388	C₂²×D₁₉	—	4	1	no	—
389	C₂²×D₁₉	—	4	16	no	—
390	C₂²×D₁₉	#41	1	4	yes	complemented
391	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
392	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
393	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
394	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
395	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
396	Q₈×C₁₉	—	4	1	no	—
397	D₄×C₁₉	—	2	2	no	—
398	D₄×C₁₉	—	2	2	no	—
399	D₄×C₁₉	—	2	2	no	—
400	D₄×C₁₉	—	2	2	no	—
401	D₄×C₁₉	—	4	1	no	—
402	D₄×C₁₉	—	4	1	no	—
403	D₄×C₁₉	—	4	1	no	—
404	D₄×C₁₉	—	4	1	no	—
405	D₄×C₁₉	—	4	1	no	—
406	C₂×C₄×C₁₉	—	2	2	no	—
407	C₂×C₄×C₁₉	—	4	1	no	—
408	C₂×C₄×C₁₉	—	4	1	no	—
409	C₂×C₄×C₁₉	—	4	1	no	—
410	C₂×C₄×C₁₉	—	4	1	no	—
411	C₂×C₄×C₁₉	—	4	1	no	—
412	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
413	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
415	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
416	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
417	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
418	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
419	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
420	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
421	C₂²⋊D₁₉	—	2	2	no	—
422	C₂²⋊D₁₉	—	2	2	no	—
423	C₂²⋊D₁₉	—	2	2	no	—
424	C₂²⋊D₁₉	—	2	2	no	—
425	C₂²⋊D₁₉	—	2	2	no	—
426	C₂²⋊D₁₉	—	2	2	no	—
427	C₂²⋊D₁₉	—	2	2	no	—
428	C₂²⋊D₁₉	—	2	2	no	—
429	C₂²⋊D₁₉	—	2	2	no	—
430	C₂²⋊D₁₉	—	2	2	no	—
431	C₂²⋊D₁₉	—	4	1	no	—
432	C₂²⋊D₁₉	—	4	1	no	—
433	C₂²⋊D₁₉	—	4	1	no	—
434	C₂²⋊D₁₉	—	4	1	no	—
435	C₂²⋊D₁₉	—	4	1	no	—
436	C₂²⋊D₁₉	—	4	1	no	—
437	C₂×Dic₁₉	—	2	2	no	—
438	C₂×Dic₁₉	—	2	2	no	—
439	C₂×Dic₁₉	—	4	1	no	—
440	C₂×Dic₁₉	—	4	1	no	—
441	C₂×Dic₁₉	—	4	1	no	—
442	C₂×Dic₁₉	—	4	1	no	—
443	C₂×Dic₁₉	—	4	1	no	—
444	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
445	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
446	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
447	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
448	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
449	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
450	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
451	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
452	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
453	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
454	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
455	D₇₆	—	2	2	no	—
456	D₇₆	—	2	2	no	—
457	D₇₆	—	4	1	no	—
458	C₄×D₁₉	—	2	2	no	—
459	C₄×D₁₉	—	2	2	no	—
460	C₄×D₁₉	—	2	2	no	—
461	C₄×D₁₉	—	4	1	no	—
462	C₄×D₁₉	—	4	1	no	—
463	C₄×D₁₉	—	4	1	no	—
464	C₄×D₁₉	—	4	1	no	—
465	C₄×D₁₉	—	4	1	no	—
466	C₄×D₁₉	—	4	1	no	—
467	C₄×D₁₉	—	4	1	no	—
468	C₄×D₁₉	—	4	1	no	—
469	C₄×D₁₉	—	4	1	no	—
470	C₄×D₁₉	—	4	1	no	—
471	Dic₃₈	—	4	1	no	—
472	Dic₃₈	—	4	1	no	—
473	Dic₃₈	—	4	1	no	—
474	#3490	—	19	1	no	maximal, Sylow
475	C₂²×C₁₉	—	2	1	no	—
476	C₂²×C₁₉	—	2	1	no	—
477	C₂²×C₁₉	—	2	1	no	—
478	C₂²×C₁₉	—	2	1	no	—
479	C₂²×C₁₉	—	2	1	no	—
480	C₂²×C₁₉	—	2	1	no	—
481	C₂²×C₁₉	—	2	1	no	—
482	C₂²×C₁₉	—	2	1	no	—
483	C₂²×C₁₉	—	2	1	no	—
484	C₂²×C₁₉	—	2	1	no	—
485	C₂²×C₁₉	—	2	1	no	—
486	C₂²×C₁₉	—	2	1	no	—
487	C₂²×C₁₉	—	2	1	no	—
488	C₂²×C₁₉	—	2	1	no	—
489	C₂²×C₁₉	—	2	1	no	—
490	C₂²×C₁₉	—	2	1	no	—
491	C₂²×C₁₉	—	4	4	no	—
492	C₂²×C₁₉	—	8	2	no	—
493	C₂²×C₁₉	C₂×#41	1	2	yes	—
494	C₂²×C₁₉	H(5,𝔽₂)	1	2	yes	—
495	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
496	C₂×D₁₉	—	2	8	no	—
497	C₂×D₁₉	—	2	1	no	—
498	C₂×D₁₉	—	2	1	no	—
499	C₂×D₁₉	—	2	1	no	—
500	C₂×D₁₉	—	2	1	no	—
501	C₂×D₁₉	—	2	1	no	—
502	C₂×D₁₉	—	2	1	no	—
503	C₂×D₁₉	—	2	1	no	—
504	C₂×D₁₉	—	2	1	no	—
505	C₂×D₁₉	—	2	1	no	—
506	C₂×D₁₉	—	2	1	no	—
507	C₂×D₁₉	—	2	1	no	—
508	C₂×D₁₉	—	2	1	no	—
509	C₂×D₁₉	—	4	4	no	—
510	C₂×D₁₉	—	4	4	no	—
511	C₂×D₁₉	—	4	4	no	—
512	C₂×D₁₉	—	4	4	no	—
513	C₂×D₁₉	—	4	4	no	—
514	C₂×D₁₉	—	8	2	no	—
515	C₂×D₁₉	C₂×#41	1	2	yes	—
516	C₂×D₁₉	C₂×#41	1	2	yes	—
517	C₂×D₁₉	H(5,𝔽₂)	1	2	yes	—
518	C₄×C₁₉	—	2	1	no	—
519	C₄×C₁₉	—	2	1	no	—
520	C₄×C₁₉	—	2	1	no	—
521	C₄×C₁₉	—	2	1	no	—
522	C₄×C₁₉	—	2	1	no	—
523	C₄×C₁₉	—	2	1	no	—
524	C₄×C₁₉	—	2	1	no	—
525	C₄×C₁₉	—	2	1	no	—
526	C₄×C₁₉	—	2	1	no	—
527	Dic₁₉	—	2	1	no	—
528	Dic₁₉	—	2	1	no	—
529	Dic₁₉	—	2	1	no	—
530	Dic₁₉	—	2	1	no	—
531	Dic₁₉	—	2	1	no	—
532	Dic₁₉	—	2	1	no	—
533	Dic₁₉	—	2	1	no	—
534	Dic₁₉	—	2	1	no	—
535	Dic₁₉	—	2	1	no	—
536	Dic₁₉	—	2	1	no	—
537	Dic₁₉	—	2	1	no	—
538	#551	—	19	1	no	—
539	#551	—	19	1	no	—
540	#551	—	19	1	no	—
541	#551	—	19	1	no	—
542	#551	—	19	1	no	—
543	#551	—	19	1	no	—
544	#551	—	19	1	no	—
545	#551	—	19	1	no	—
546	#546	—	19	1	no	—
547	#546	—	19	1	no	—
548	#546	—	19	1	no	—
549	#546	—	19	1	no	—
550	#546	—	19	1	no	—
551	#546	—	19	1	no	—
552	#546	—	19	1	no	—
553	#546	D₁₉	1	1	yes	characteristic, complemented
554	#543	—	19	1	no	—
555	#538	—	19	1	no	—
556	#538	—	19	1	no	—
557	#538	—	19	1	no	—
558	#538	—	19	1	no	—
559	#534	—	19	1	no	—
560	#525	—	19	1	no	—
561	#525	—	19	1	no	—
562	#525	—	19	1	no	—
563	#525	—	19	1	no	—
564	C₂×#120	—	19	1	no	—
565	C₂×#120	—	19	1	no	—
566	#518	—	19	1	no	—
567	#518	—	19	1	no	—
568	C₂²×C₂²⋊C₄	—	19	1	no	—
569	C₂×C₁₉	—	2	2	no	—
570	C₂×C₁₉	—	2	2	no	—
571	C₂×C₁₉	—	4	1	no	—
572	C₂×C₁₉	—	4	1	no	—
573	C₂×C₁₉	—	4	1	no	—
574	C₂×C₁₉	—	4	1	no	—
575	C₂×C₁₉	C₂²×#41	1	1	yes	characteristic
576	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
577	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
578	D₁₉	—	2	2	no	—
579	D₁₉	—	2	2	no	—
580	D₁₉	—	2	2	no	—
581	D₁₉	—	4	1	no	—
582	D₁₉	—	4	1	no	—
583	C₂⁵	—	19	1	no	—
584	C₂×#41	—	19	1	no	—
585	C₂×#41	—	19	1	no	—
586	C₂×#41	—	19	1	no	—
587	C₂×#41	C₂×D₁₉	1	1	yes	characteristic, complemented
588	C₂²×D₄	—	19	1	no	—
589	C₂²×D₄	—	19	1	no	—
590	C₂²×D₄	—	19	1	no	—
591	C₂²×D₄	—	19	1	no	—
592	C₂²×D₄	—	19	1	no	—
593	C₂²×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
594	C₂³×C₄	—	19	1	no	—
595	C₂³×C₄	—	19	1	no	—
596	#126	—	19	1	no	—
597	#126	—	19	1	no	—
598	#126	—	19	1	no	—
599	#126	—	19	1	no	—
600	#126	—	19	1	no	—
601	#126	—	19	1	no	—
602	#126	—	19	1	no	—
603	#126	—	19	1	no	—
604	#124	—	19	1	no	—
605	#124	—	19	1	no	—
606	#124	—	19	1	no	—
607	#124	—	19	1	no	—
608	#124	—	19	1	no	—
609	#124	—	19	1	no	—
610	#124	—	19	1	no	—
611	#124	C₂×D₁₉	1	1	yes	characteristic, complemented
612	#123	—	19	1	no	—
613	#123	—	19	1	no	—
614	#123	—	19	1	no	—
615	#123	—	19	1	no	—
616	#123	—	19	1	no	—
617	#123	—	19	1	no	—
618	#123	—	19	1	no	—
619	#123	—	19	1	no	—
620	#123	—	19	1	no	—
621	#123	—	19	1	no	—
622	#123	—	19	1	no	—
623	#123	—	19	1	no	—
624	#123	—	19	1	no	—
625	#123	—	19	1	no	—
626	#123	—	19	1	no	—
627	#123	—	19	1	no	—
628	#123	—	19	1	no	—
629	#123	—	19	1	no	—
630	#123	C₂×D₁₉	1	1	yes	characteristic, complemented
631	#123	C₂×D₁₉	1	1	yes	characteristic, complemented
632	C₂²⋊Q₈	—	19	1	no	—
633	C₂²⋊Q₈	—	19	1	no	—
634	C₂²⋊Q₈	—	19	1	no	—
635	C₂²⋊Q₈	—	19	1	no	—
636	C₂²⋊Q₈	—	19	1	no	—
637	C₂²⋊Q₈	—	19	1	no	—
638	C₂²⋊Q₈	—	19	1	no	—
639	C₂²⋊Q₈	—	19	1	no	—
640	C₂²⋊Q₈	—	19	1	no	—
641	C₂²⋊Q₈	—	19	1	no	—
642	C₂²⋊Q₈	—	19	1	no	—
643	C₂²⋊Q₈	—	19	1	no	—
644	C₂²⋊Q₈	—	19	1	no	—
645	C₂²⋊Q₈	—	19	1	no	—
646	C₂²⋊Q₈	—	19	1	no	—
647	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
648	#121	—	19	1	no	—
649	#121	—	19	1	no	—
650	#121	—	19	1	no	—
651	#121	—	19	1	no	—
652	#121	—	19	1	no	—
653	#121	—	19	1	no	—
654	#121	—	19	1	no	—
655	#121	—	19	1	no	—
656	#121	—	19	1	no	—
657	#121	—	19	1	no	—
658	#121	—	19	1	no	—
659	#121	—	19	1	no	—
660	#121	—	19	1	no	—
661	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
662	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
663	#121	C₂×D₁₉	1	1	yes	characteristic, complemented
664	#120	—	19	1	no	—
665	#120	—	19	1	no	—
666	#120	—	19	1	no	—
667	#120	—	19	1	no	—
668	#120	—	19	1	no	—
669	#120	—	19	1	no	—
670	#120	—	19	1	no	—
671	#120	—	19	1	no	—
672	#120	—	19	1	no	—
673	#120	—	19	1	no	—
674	#120	—	19	1	no	—
675	#120	—	19	1	no	—
676	#120	—	19	1	no	—
677	#120	—	19	1	no	—
678	#120	—	19	1	no	—
679	#120	—	19	1	no	—
680	#120	—	19	1	no	—
681	#120	—	19	1	no	—
682	#120	C₂×D₁₉	1	1	yes	characteristic
683	#120	C₂×D₁₉	1	1	yes	characteristic, complemented
684	C₄×D₄	—	19	1	no	—
685	C₄×D₄	—	19	1	no	—
686	C₄×D₄	—	19	1	no	—
687	C₄×D₄	—	19	1	no	—
688	C₄×D₄	—	19	1	no	—
689	C₄×D₄	—	19	1	no	—
690	C₄×D₄	—	19	1	no	—
691	C₄×D₄	—	19	1	no	—
692	C₄×D₄	—	19	1	no	—
693	C₄×D₄	—	19	1	no	—
694	C₄×D₄	—	19	1	no	—
695	C₄×D₄	—	19	1	no	—
696	C₄×D₄	—	19	1	no	—
697	C₄×D₄	—	19	1	no	—
698	C₄×D₄	—	19	1	no	—
699	C₄×D₄	—	19	1	no	—
700	C₄×D₄	—	19	1	no	—
701	C₄×D₄	—	19	1	no	—
702	C₄×D₄	—	19	1	no	—
703	C₄×D₄	—	19	1	no	—
704	C₄×D₄	—	19	1	no	—
705	C₄×D₄	—	19	1	no	—
706	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
707	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
708	#117	—	19	1	no	—
709	#117	—	19	1	no	—
710	#117	—	19	1	no	—
711	#117	—	19	1	no	—
712	#117	—	19	1	no	—
713	#117	—	19	1	no	—
714	#117	—	19	1	no	—
715	#117	—	19	1	no	—
716	C₂×C₂²⋊C₄	—	19	1	no	—
717	C₂×C₂²⋊C₄	—	19	1	no	—
718	C₂×C₂²⋊C₄	—	19	1	no	—
719	C₂×C₂²⋊C₄	—	19	1	no	—
720	C₂×C₂²⋊C₄	—	19	1	no	—
721	C₂×C₂²⋊C₄	—	19	1	no	—
722	C₂×C₂²⋊C₄	—	19	1	no	—
723	C₂×C₂²⋊C₄	—	19	1	no	—
724	C₂×C₂²⋊C₄	—	19	1	no	—
725	C₂×C₂²⋊C₄	—	19	1	no	—
726	C₂×C₂²⋊C₄	—	19	1	no	—
727	C₂×C₂²⋊C₄	—	19	1	no	—
728	C₂×C₂²⋊C₄	—	19	1	no	—
729	C₂×C₂²⋊C₄	—	19	1	no	—
730	C₂×C₂²⋊C₄	—	19	1	no	—
731	C₂×C₂²⋊C₄	—	19	1	no	—
732	C₂×C₂²⋊C₄	—	19	1	no	—
733	C₂×C₂²⋊C₄	—	19	1	no	—
734	C₂×C₂²⋊C₄	—	19	1	no	—
735	C₂×C₂²⋊C₄	—	19	1	no	—
736	C₂×C₂²⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
737	C₂×C₂²⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
738	C₁₉	#3490	1	1	yes	characteristic, complemented, Sylow
739	C₂⁴	—	19	1	no	—
740	C₂⁴	—	19	1	no	—
741	C₂⁴	—	19	1	no	—
742	C₂⁴	—	19	1	no	—
743	C₂⁴	—	19	1	no	—
744	C₂⁴	—	19	1	no	—
745	C₂⁴	—	19	1	no	—
746	C₂⁴	—	38	4	no	—
747	C₂⁴	—	76	2	no	—
748	C₂⁴	—	76	2	no	—
749	C₂⁴	C₂²×D₁₉	1	1	yes	characteristic
750	C₂⁴	C₂²×D₁₉	1	1	yes	characteristic
751	#41	—	4	2	no	—
752	#41	—	76	2	no	—
753	#41	—	76	2	no	—
754	#41	—	76	2	no	—
755	C₂×Q₈	—	19	1	no	—
756	C₂×Q₈	—	19	1	no	—
757	C₂×Q₈	—	19	1	no	—
758	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic, complemented
759	C₂×D₄	—	4	2	no	—
760	C₂×D₄	—	19	1	no	—
761	C₂×D₄	—	19	1	no	—
762	C₂×D₄	—	19	1	no	—
763	C₂×D₄	—	19	1	no	—
764	C₂×D₄	—	19	1	no	—
765	C₂×D₄	—	19	1	no	—
766	C₂×D₄	—	19	1	no	—
767	C₂×D₄	—	19	1	no	—
768	C₂×D₄	—	19	1	no	—
769	C₂×D₄	—	19	1	no	—
770	C₂×D₄	—	19	1	no	—
771	C₂×D₄	—	19	1	no	—
772	C₂×D₄	—	19	1	no	—
773	C₂×D₄	—	19	1	no	—
774	C₂×D₄	—	19	1	no	—
775	C₂×D₄	—	19	1	no	—
776	C₂×D₄	—	19	1	no	—
777	C₂×D₄	—	19	1	no	—
778	C₂×D₄	—	19	1	no	—
779	C₂×D₄	—	38	4	no	—
780	C₂×D₄	—	38	4	no	—
781	C₂×D₄	—	76	2	no	—
782	C₂×D₄	—	76	2	no	—
783	C₂×D₄	—	76	2	no	—
784	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
785	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
786	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
787	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
788	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
789	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
790	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
791	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
792	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
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	—	19	1	no	—
807	C₂²×C₄	—	19	1	no	—
808	C₂²×C₄	—	19	1	no	—
809	C₂²×C₄	—	19	1	no	—
810	C₂²×C₄	—	19	1	no	—
811	C₂²×C₄	—	19	1	no	—
812	C₂²×C₄	—	19	1	no	—
813	C₂²×C₄	—	76	2	no	—
814	C₂²×C₄	—	76	2	no	—
815	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
816	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
817	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
818	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
819	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
820	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
821	C₄⋊C₄	—	19	1	no	—
822	C₄⋊C₄	—	19	1	no	—
823	C₄⋊C₄	—	19	1	no	—
824	C₄⋊C₄	—	19	1	no	—
825	C₄⋊C₄	—	19	1	no	—
826	C₄⋊C₄	—	19	1	no	—
827	C₄⋊C₄	—	19	1	no	—
828	C₄⋊C₄	—	19	1	no	—
829	C₄⋊C₄	—	19	1	no	—
830	C₄⋊C₄	—	19	1	no	—
831	C₄⋊C₄	—	19	1	no	—
832	C₄⋊C₄	—	19	1	no	—
833	C₄⋊C₄	—	19	1	no	—
834	C₄⋊C₄	—	19	1	no	—
835	C₄⋊C₄	—	19	1	no	—
836	C₄⋊C₄	—	19	1	no	—
837	C₄⋊C₄	—	19	1	no	—
838	C₄⋊C₄	—	19	1	no	—
839	C₄⋊C₄	—	19	1	no	—
840	C₄⋊C₄	—	19	1	no	—
841	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
842	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
843	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
844	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
845	C₂²⋊C₄	—	19	1	no	—
846	C₂²⋊C₄	—	19	1	no	—
847	C₂²⋊C₄	—	19	1	no	—
848	C₂²⋊C₄	—	19	1	no	—
849	C₂²⋊C₄	—	19	1	no	—
850	C₂²⋊C₄	—	19	1	no	—
851	C₂²⋊C₄	—	19	1	no	—
852	C₂²⋊C₄	—	19	1	no	—
853	C₂²⋊C₄	—	19	1	no	—
854	C₂²⋊C₄	—	19	1	no	—
855	C₂²⋊C₄	—	19	1	no	—
856	C₂²⋊C₄	—	19	1	no	—
857	C₂²⋊C₄	—	19	1	no	—
858	C₂²⋊C₄	—	19	1	no	—
859	C₂²⋊C₄	—	19	1	no	—
860	C₂²⋊C₄	—	19	1	no	—
861	C₂²⋊C₄	—	19	1	no	—
862	C₂²⋊C₄	—	19	1	no	—
863	C₂²⋊C₄	—	19	1	no	—
864	C₂²⋊C₄	—	19	1	no	—
865	C₂²⋊C₄	—	19	1	no	—
866	C₂²⋊C₄	—	19	1	no	—
867	C₂²⋊C₄	—	19	1	no	—
868	C₂²⋊C₄	—	19	1	no	—
869	C₂²⋊C₄	—	19	1	no	—
870	C₂²⋊C₄	—	19	1	no	—
871	C₂²⋊C₄	—	19	1	no	—
872	C₂²⋊C₄	—	19	1	no	—
873	C₂²⋊C₄	—	19	1	no	—
874	C₂²⋊C₄	—	19	1	no	—
875	C₂²⋊C₄	—	19	1	no	—
876	C₂²⋊C₄	—	19	1	no	—
877	C₂²⋊C₄	—	19	1	no	—
878	C₂²⋊C₄	—	19	1	no	—
879	C₂²⋊C₄	—	19	1	no	—
880	C₂²⋊C₄	—	19	1	no	—
881	C₂²⋊C₄	—	19	1	no	—
882	C₂²⋊C₄	—	19	1	no	—
883	C₂²⋊C₄	—	19	1	no	—
884	C₂²⋊C₄	—	19	1	no	—
885	C₂²⋊C₄	—	19	1	no	—
886	C₂²⋊C₄	—	19	1	no	—
887	C₂²⋊C₄	—	19	1	no	—
888	C₂²⋊C₄	—	19	1	no	—
889	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
890	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
891	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
892	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
893	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
894	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
895	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
896	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
897	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
898	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
899	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
900	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic, complemented
901	C₄²	—	19	1	no	—
902	C₄²	—	19	1	no	—
903	C₄²	—	19	1	no	—
904	C₄²	—	19	1	no	—
905	C₄²	—	19	1	no	—
906	C₄²	—	19	1	no	—
907	C₄²	—	19	1	no	—
908	C₄²	C₂²×D₁₉	1	1	yes	characteristic, complemented
909	C₂³	—	2	2	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	4	1	no	—
913	C₂³	—	4	1	no	—
914	C₂³	—	4	1	no	—
915	C₂³	—	19	1	no	—
916	C₂³	—	19	1	no	—
917	C₂³	—	19	1	no	—
918	C₂³	—	19	4	no	—
919	C₂³	—	19	1	no	—
920	C₂³	—	19	1	no	—
921	C₂³	—	38	2	no	—
922	C₂³	—	38	2	no	—
923	C₂³	—	38	2	no	—
924	C₂³	—	38	2	no	—
925	C₂³	—	38	2	no	—
926	C₂³	—	38	2	no	—
927	C₂³	—	38	2	no	—
928	C₂³	—	38	2	no	—
929	C₂³	—	38	2	no	—
930	C₂³	—	38	2	no	—
931	C₂³	—	38	2	no	—
932	C₂³	—	76	1	no	—
933	C₂³	—	76	1	no	—
934	C₂³	—	76	1	no	—
935	C₂³	—	76	1	no	—
936	C₂³	—	76	1	no	—
937	C₂³	—	76	1	no	—
938	C₂³	—	76	1	no	—
939	C₂³	—	76	1	no	—
940	C₂³	—	76	1	no	—
941	C₂³	—	76	16	no	—
942	C₂³	C₂³×D₁₉	1	1	yes	characteristic
943	C₂³	C₂³×D₁₉	1	1	yes	characteristic
944	C₂³	C₂³×D₁₉	1	1	yes	characteristic
945	C₂³	C₂³×D₁₉	1	1	yes	characteristic
946	C₂³	C₂³×D₁₉	1	1	yes	characteristic
947	C₂³	C₂³×D₁₉	1	1	yes	characteristic
948	Q₈	—	4	1	no	—
949	Q₈	—	76	1	no	—
950	Q₈	—	76	1	no	—
951	Q₈	—	76	1	no	—
952	D₄	—	2	2	no	—
953	D₄	—	2	2	no	—
954	D₄	—	2	2	no	—
955	D₄	—	2	2	no	—
956	D₄	—	4	1	no	—
957	D₄	—	4	1	no	—
958	D₄	—	4	1	no	—
959	D₄	—	4	1	no	—
960	D₄	—	4	1	no	—
961	D₄	—	38	2	no	—
962	D₄	—	38	2	no	—
963	D₄	—	38	2	no	—
964	D₄	—	38	2	no	—
965	D₄	—	38	2	no	—
966	D₄	—	38	2	no	—
967	D₄	—	38	2	no	—
968	D₄	—	38	2	no	—
969	D₄	—	38	2	no	—
970	D₄	—	38	2	no	—
971	D₄	—	38	2	no	—
972	D₄	—	38	2	no	—
973	D₄	—	76	1	no	—
974	D₄	—	76	1	no	—
975	D₄	—	76	1	no	—
976	D₄	—	76	1	no	—
977	D₄	—	76	1	no	—
978	D₄	—	76	1	no	—
979	D₄	—	76	1	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	4	1	no	—
982	C₂×C₄	—	4	1	no	—
983	C₂×C₄	—	4	1	no	—
984	C₂×C₄	—	4	1	no	—
985	C₂×C₄	—	4	1	no	—
986	C₂×C₄	—	19	1	no	—
987	C₂×C₄	—	19	1	no	—
988	C₂×C₄	—	19	1	no	—
989	C₂×C₄	—	19	1	no	—
990	C₂×C₄	—	19	1	no	—
991	C₂×C₄	—	19	1	no	—
992	C₂×C₄	—	19	1	no	—
993	C₂×C₄	—	19	1	no	—
994	C₂×C₄	—	19	1	no	—
995	C₂×C₄	—	19	1	no	—
996	C₂×C₄	—	19	1	no	—
997	C₂×C₄	—	38	2	no	—
998	C₂×C₄	—	38	2	no	—
999	C₂×C₄	—	38	2	no	—
1000	C₂×C₄	—	38	2	no	—
1001	C₂×C₄	—	38	2	no	—
1002	C₂×C₄	—	76	1	no	—
1003	C₂×C₄	—	76	1	no	—
1004	C₂×C₄	—	76	1	no	—
1005	C₂×C₄	—	76	1	no	—
1006	C₂×C₄	—	76	1	no	—
1007	C₂×C₄	—	76	1	no	—
1008	C₂×C₄	—	76	1	no	—
1009	C₂×C₄	—	76	1	no	—
1010	C₂×C₄	—	76	1	no	—
1011	C₂×C₄	—	76	1	no	—
1012	C₂×C₄	—	76	1	no	—
1013	C₂×C₄	—	76	1	no	—
1014	C₂×C₄	—	76	1	no	—
1015	C₂×C₄	—	76	1	no	—
1016	C₂×C₄	—	76	1	no	—
1017	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1018	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1019	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1020	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1021	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1022	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1023	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1024	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1025	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	2	1	no	—
1031	C₂²	—	2	1	no	—
1032	C₂²	—	2	1	no	—
1033	C₂²	—	2	1	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	1	no	—
1039	C₂²	—	2	1	no	—
1040	C₂²	—	2	1	no	—
1041	C₂²	—	2	1	no	—
1042	C₂²	—	4	4	no	—
1043	C₂²	—	8	2	no	—
1044	C₂²	—	19	2	no	—
1045	C₂²	—	19	2	no	—
1046	C₂²	—	19	2	no	—
1047	C₂²	—	38	8	no	—
1048	C₂²	—	38	1	no	—
1049	C₂²	—	38	1	no	—
1050	C₂²	—	38	1	no	—
1051	C₂²	—	38	1	no	—
1052	C₂²	—	38	1	no	—
1053	C₂²	—	38	1	no	—
1054	C₂²	—	38	1	no	—
1055	C₂²	—	38	1	no	—
1056	C₂²	—	38	1	no	—
1057	C₂²	—	38	1	no	—
1058	C₂²	—	38	1	no	—
1059	C₂²	—	38	1	no	—
1060	C₂²	—	76	4	no	—
1061	C₂²	—	76	4	no	—
1062	C₂²	—	76	4	no	—
1063	C₂²	—	76	4	no	—
1064	C₂²	—	76	4	no	—
1065	C₂²	—	152	2	no	—
1066	C₂²	#10597430	1	2	yes	—
1067	C₂²	#41×D₁₉	1	2	yes	—
1068	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
1069	C₄	—	2	1	no	—
1070	C₄	—	2	1	no	—
1071	C₄	—	2	1	no	—
1072	C₄	—	2	1	no	—
1073	C₄	—	2	1	no	—
1074	C₄	—	2	1	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	1	no	—
1077	C₄	—	2	1	no	—
1078	C₄	—	38	1	no	—
1079	C₄	—	38	1	no	—
1080	C₄	—	38	1	no	—
1081	C₄	—	38	1	no	—
1082	C₄	—	38	1	no	—
1083	C₄	—	38	1	no	—
1084	C₄	—	38	1	no	—
1085	C₄	—	38	1	no	—
1086	C₄	—	38	1	no	—
1087	C₄	—	38	1	no	—
1088	C₄	—	38	1	no	—
1089	C₂	—	2	2	no	—
1090	C₂	—	2	2	no	—
1091	C₂	—	4	1	no	—
1092	C₂	—	4	1	no	—
1093	C₂	—	4	1	no	—
1094	C₂	—	4	1	no	—
1095	C₂	—	38	2	no	—
1096	C₂	—	38	2	no	—
1097	C₂	—	38	2	no	—
1098	C₂	—	76	1	no	—
1099	C₂	—	76	1	no	—
1100	C₂	C₂×#41×D₁₉	1	1	yes	characteristic
1101	C₂	H(5,𝔽₂)×D₁₉	1	1	yes	characteristic
1102	C₂	C₂×#10597430	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#546	C₂
hypercenter	#546	D₁₉
hypocenter	C₁₉	#3490
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #546

Complements

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

N	H ≅ G/N	type
1. #11927225	C₂	semidirect
2. #11927224	C₂	semidirect
3. #11927223	C₂	semidirect
4. #11927223	C₂	semidirect
5. #11927222	C₂	semidirect
6. #11927221	C₂	semidirect
7. #11927220	C₂	semidirect
8. #11927217	C₂	semidirect
9. #11927191	C₂	semidirect
10. #11927188	C₂	semidirect
11. #11927184	C₂	semidirect
12. #11927183	C₂	semidirect
13. #11927183	C₂	semidirect
14. #11927182	C₂	semidirect
15. #11927181	C₂	semidirect
16. #11927169	C₂	semidirect
17. #11927130	C₂	semidirect
18. #11927128	C₂	semidirect
19. #11927126	C₂	semidirect
20. #11927126	C₂	semidirect
21. #11927104	C₂	semidirect
22. #11927054	C₂	semidirect
23. #11927053	C₂	semidirect
24. #11927052	C₂	semidirect
25. #11927051	C₂	semidirect
26. C₂×#10597383	C₂	semidirect
27. #120×D₁₉	C₂	semidirect
28. #11927017	C₂	semidirect
29. #11927016	C₂	semidirect
30. C₂×C₂²⋊C₄×D₁₉	C₂	semidirect
31. C₁₉×#546	C₂	semidirect
33. C₂×#41×C₁₉	C₂²	semidirect
34. C₂²×D₄×C₁₉	C₂²	semidirect
36. C₂²×C₂²⋊D₁₉	C₂²	semidirect
37. C₂×#64543	C₂²	semidirect
38. C₂×#64543	C₂²	semidirect
40. C₂×D₄×D₁₉	C₂²	semidirect
41. C₂×D₄×D₁₉	C₂²	semidirect
42. C₂×#64541	C₂²	semidirect
43. C₂²×C₄×D₁₉	C₂²	semidirect
44. C₂²×C₄×D₁₉	C₂²	semidirect
45. C₁₉×#124	C₂²	semidirect
46. C₁₉×#123	C₂²	semidirect
47. C₁₉×#123	C₂²	semidirect
48. C₁₉×C₂²⋊Q₈	C₂²	semidirect
49. C₁₉×#121	C₂²	semidirect
50. C₁₉×#121	C₂²	semidirect
51. C₁₉×#121	C₂²	semidirect
53. C₁₉×#120	C₂²	semidirect
54. C₄×D₄×C₁₉	C₂²	semidirect
55. C₄×D₄×C₁₉	C₂²	semidirect
56. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
57. C₂×C₂²⋊C₄×C₁₉	C₂²	semidirect
59. #10597399	C₂²	semidirect
60. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
61. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
62. C₂×C₂²⋊Dic₁₉	C₂²	semidirect
63. #10597393	C₂²	semidirect
64. #10597392	C₂²	semidirect
65. #10597392	C₂²	semidirect
66. #10597392	C₂²	semidirect
67. #10597385	C₂²	semidirect
68. #10597385	C₂²	semidirect
69. #10597385	C₂²	semidirect
70. #10597385	C₂²	semidirect
71. #10597384	C₂²	semidirect
72. #10597384	C₂²	semidirect
73. #10597384	C₂²	semidirect
74. #10597384	C₂²	semidirect
80. #10597383	C₂²	semidirect
81. #10597383	C₂²	semidirect
82. #10597383	C₂²	semidirect
83. #10597383	C₂²	semidirect
84. #10597383	C₂²	semidirect
85. #10597383	C₂²	semidirect
86. #10597383	C₂²	semidirect
87. #10597383	C₂²	semidirect
88. #10597382	C₂²	semidirect
89. #10597382	C₂²	semidirect
90. #10597381	C₂²	semidirect
91. #10597381	C₂²	semidirect
92. #10597381	C₂²	semidirect
93. #10597381	C₂²	semidirect
94. #10597381	C₂²	semidirect
95. D₄×Dic₁₉	C₂²	semidirect
96. D₄×Dic₁₉	C₂²	semidirect
97. D₄×Dic₁₉	C₂²	semidirect
98. #10597376	C₂²	semidirect
99. #10597375	C₂²	semidirect
100. #10597375	C₂²	semidirect
101. #10597375	C₂²	semidirect
102. C₄×C₂²⋊D₁₉	C₂²	semidirect
103. C₄×C₂²⋊D₁₉	C₂²	semidirect
104. C₄×C₂²⋊D₁₉	C₂²	semidirect
105. C₄×C₂²⋊D₁₉	C₂²	semidirect
106. C₄×C₂²⋊D₁₉	C₂²	semidirect
107. C₄×C₂²⋊D₁₉	C₂²	semidirect
108. C₄×C₂²⋊D₁₉	C₂²	semidirect
109. C₄×C₂²⋊D₁₉	C₂²	semidirect
110. C₄×C₂²⋊D₁₉	C₂²	semidirect
112. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
113. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
114. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
115. C₂×(C₂×D₁₉)⋊C₄	C₂²	semidirect
116. #10597372	C₂²	semidirect
117. #10597370	C₂²	semidirect
118. #10597370	C₂²	semidirect
119. #10597344	C₂²	semidirect
120. #10597344	C₂²	semidirect
121. #10597344	C₂²	semidirect
122. #10597343	C₂²	semidirect
123. #10597343	C₂²	semidirect
124. #10597342	C₂²	semidirect
125. #10597342	C₂²	semidirect
126. #10597342	C₂²	semidirect
127. #10597342	C₂²	semidirect
128. #10597342	C₂²	semidirect
129. #10597340	C₂²	semidirect
130. #10597340	C₂²	semidirect
131. #10597339	C₂²	semidirect
132. #10597339	C₂²	semidirect
133. #10597338	C₂²	semidirect
134. #10597338	C₂²	semidirect
135. #10597332	C₂²	semidirect
136. #10597332	C₂²	semidirect
137. #10597331	C₂²	semidirect
138. #10597331	C₂²	semidirect
139. #10597331	C₂²	semidirect
140. #10597331	C₂²	semidirect
141. #10597330	C₂²	semidirect
142. #10597330	C₂²	semidirect
143. #10597330	C₂²	semidirect
144. #10597330	C₂²	semidirect
145. #10597329	C₂²	semidirect
146. #10597329	C₂²	semidirect
147. #10597329	C₂²	semidirect
148. #10597329	C₂²	semidirect
149. #10597329	C₂²	semidirect
150. #10597329	C₂²	semidirect
152. #10597328	C₂²	semidirect
153. #10597328	C₂²	semidirect
154. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
155. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
156. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
157. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
158. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
159. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
160. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
164. C₂²⋊C₄×D₁₉	C₂²	semidirect
165. C₂²⋊C₄×D₁₉	C₂²	semidirect
166. C₂²⋊C₄×D₁₉	C₂²	semidirect
167. C₂²⋊C₄×D₁₉	C₂²	semidirect
168. C₂²⋊C₄×D₁₉	C₂²	semidirect
169. C₂²⋊C₄×D₁₉	C₂²	semidirect
170. C₂²⋊C₄×D₁₉	C₂²	semidirect
171. C₂²⋊C₄×D₁₉	C₂²	semidirect
172. C₂²⋊C₄×D₁₉	C₂²	semidirect
173. #10597325	C₂²	semidirect
174. #10597325	C₂²	semidirect
175. #10597325	C₂²	semidirect
176. #10597325	C₂²	semidirect
177. #10597324	C₂²	semidirect
178. #10597324	C₂²	semidirect
179. #10597324	C₂²	semidirect
180. #10597323	C₂²	semidirect
181. #10597323	C₂²	semidirect
182. #10597323	C₂²	semidirect
183. #10597322	C₂²	semidirect
184. C₄×D₇₆	C₂²	semidirect
185. #10597318	C₂²	semidirect
186. #10597318	C₂²	semidirect
200. C₂×Q₈×C₁₉	C₂³	semidirect
209. C₂×D₄×C₁₉	C₂³	semidirect
210. C₂×D₄×C₁₉	C₂³	semidirect
214. C₂²×C₄×C₁₉	C₂³	semidirect
215. C₂²×C₄×C₁₉	C₂³	semidirect
216. C₂²×C₄×C₁₉	C₂³	semidirect
233. C₂×C₂²⋊D₁₉	C₂³	semidirect
234. C₂×C₂²⋊D₁₉	C₂³	semidirect
239. C₂²×Dic₁₉	C₂³	semidirect
240. C₂²×Dic₁₉	C₂³	semidirect
241. C₂²×Dic₁₉	C₂³	semidirect
264. C₂×C₄×D₁₉	C₂³	semidirect
265. C₂×C₄×D₁₉	C₂³	semidirect
266. C₂×Dic₃₈	C₂³	semidirect
267. C₂×Dic₃₈	C₂³	semidirect
268. C₂×Dic₃₈	C₂³	semidirect
269. C₄⋊C₄×C₁₉	C₂³	semidirect
270. C₄⋊C₄×C₁₉	C₂³	semidirect
271. C₄⋊C₄×C₁₉	C₂³	semidirect
272. C₄⋊C₄×C₁₉	C₂³	semidirect
280. C₂²⋊C₄×C₁₉	C₂³	semidirect
281. C₂²⋊C₄×C₁₉	C₂³	semidirect
282. C₂²⋊C₄×C₁₉	C₂³	semidirect
283. C₂²⋊C₄×C₁₉	C₂³	semidirect
284. C₂²⋊C₄×C₁₉	C₂³	semidirect
285. C₄²×C₁₉	C₂³	semidirect
297. C₂²⋊Dic₁₉	C₂³	semidirect
298. C₂²⋊Dic₁₉	C₂³	semidirect
299. C₂²⋊Dic₁₉	C₂³	semidirect
300. C₂²⋊Dic₁₉	C₂³	semidirect
301. C₂²⋊Dic₁₉	C₂³	semidirect
302. C₂²⋊Dic₁₉	C₂³	semidirect
303. C₂²⋊Dic₁₉	C₂³	semidirect
326. (C₂×D₁₉)⋊C₄	C₂³	semidirect
327. (C₂×D₁₉)⋊C₄	C₂³	semidirect
328. (C₂×D₁₉)⋊C₄	C₂³	semidirect
329. (C₂×D₁₉)⋊C₄	C₂³	semidirect
330. C₄⋊Dic₁₉	C₂³	semidirect
331. C₄⋊Dic₁₉	C₂³	semidirect
332. C₄⋊Dic₁₉	C₂³	semidirect
333. C₄⋊Dic₁₉	C₂³	semidirect
334. C₄⋊Dic₁₉	C₂³	semidirect
335. C₄⋊Dic₁₉	C₂³	semidirect
336. Dic₁₉⋊C₄	C₂³	semidirect
337. Dic₁₉⋊C₄	C₂³	semidirect
338. Dic₁₉⋊C₄	C₂³	semidirect
339. Dic₁₉⋊C₄	C₂³	semidirect
340. Dic₁₉⋊C₄	C₂³	semidirect
341. Dic₁₉⋊C₄	C₂³	semidirect
342. Dic₁₉⋊C₄	C₂³	semidirect
343. Dic₁₉⋊C₄	C₂³	semidirect
344. Dic₁₉⋊C₄	C₂³	semidirect
345. Dic₁₉⋊C₄	C₂³	semidirect
346. Dic₁₉⋊C₄	C₂³	semidirect
347. Dic₁₉⋊C₄	C₂³	semidirect
348. Dic₁₉⋊C₄	C₂³	semidirect
349. Dic₁₉⋊C₄	C₂³	semidirect
350. C₄×Dic₁₉	C₂³	semidirect
351. C₄×Dic₁₉	C₂³	semidirect
352. C₄×Dic₁₉	C₂³	semidirect
353. C₄×Dic₁₉	C₂³	semidirect
354. C₄×Dic₁₉	C₂³	semidirect
355. C₄×Dic₁₉	C₂³	semidirect
356. C₄×Dic₁₉	C₂³	semidirect
390. C₂²×D₁₉	#41	semidirect
553. #546	D₁₉	semidirect
587. C₂×#41	C₂×D₁₉	semidirect
593. C₂²×D₄	C₂×D₁₉	semidirect
611. #124	C₂×D₁₉	semidirect
630. #123	C₂×D₁₉	semidirect
631. #123	C₂×D₁₉	semidirect
647. C₂²⋊Q₈	C₂×D₁₉	semidirect
661. #121	C₂×D₁₉	semidirect
662. #121	C₂×D₁₉	semidirect
663. #121	C₂×D₁₉	semidirect
683. #120	C₂×D₁₉	semidirect
706. C₄×D₄	C₂×D₁₉	semidirect
707. C₄×D₄	C₂×D₁₉	semidirect
736. C₂×C₂²⋊C₄	C₂×D₁₉	semidirect
737. C₂×C₂²⋊C₄	C₂×D₁₉	semidirect
738. C₁₉	#3490	semidirect
758. C₂×Q₈	C₂²×D₁₉	semidirect
791. C₂×D₄	C₂²×D₁₉	semidirect
792. C₂×D₄	C₂²×D₁₉	semidirect
818. C₂²×C₄	C₂²×D₁₉	semidirect
819. C₂²×C₄	C₂²×D₁₉	semidirect
820. C₂²×C₄	C₂²×D₁₉	semidirect
841. C₄⋊C₄	C₂²×D₁₉	semidirect
842. C₄⋊C₄	C₂²×D₁₉	semidirect
843. C₄⋊C₄	C₂²×D₁₉	semidirect
844. C₄⋊C₄	C₂²×D₁₉	semidirect
896. C₂²⋊C₄	C₂²×D₁₉	semidirect
897. C₂²⋊C₄	C₂²×D₁₉	semidirect
898. C₂²⋊C₄	C₂²×D₁₉	semidirect
899. C₂²⋊C₄	C₂²×D₁₉	semidirect
900. C₂²⋊C₄	C₂²×D₁₉	semidirect
908. C₄²	C₂²×D₁₉	semidirect

Maximal subgroups

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

subgroup	index
#11927225	2
#11927224	2
#11927223	2
#11927222	2
#11927221	2
#11927220	2
#11927217	2
#11927191	2
#11927188	2
#11927184	2
#11927183	2
#11927182	2
#11927181	2
#11927169	2
#11927130	2
#11927128	2
#11927126	2
#11927104	2
#11927054	2
#11927053	2
#11927052	2
#11927051	2
C₂×#10597383	2
#120×D₁₉	2
#11927017	2
#11927016	2
C₂×C₂²⋊C₄×D₁₉	2
C₁₉×#546	2
#3490	19