Subgroups — #14577676

Order 2432.

1124 conjugacy classes of subgroups.

The subgroup lattice has 996 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927261	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927250	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927248	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927231	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927226	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927222	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927221	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927219	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927217	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927207	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927204	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927200	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927192	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927192	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927186	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927183	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927164	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927162	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927142	C₂	1	1	yes	maximal, characteristic, complemented
20	#11927136	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927135	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927100	C₂	1	1	yes	maximal, characteristic, complemented
23	#11927077	C₂	1	1	yes	maximal, characteristic, complemented
24	#11927053	C₂	1	1	yes	maximal, characteristic, complemented
25	#11927052	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#10597342	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²⋊Q₈×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#11927025	C₂	1	1	yes	maximal, characteristic, complemented
29	#11927023	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₄×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#539	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#64543	C₂²	1	1	yes	characteristic
34	C₂×#64543	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₄×D₁₉	C₂²	1	1	yes	characteristic
36	C₂×#64541	C₂²	1	1	yes	characteristic
37	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic
39	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic
40	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
41	C₁₉×#126	C₂²	1	1	yes	characteristic, complemented
42	C₁₉×#126	C₂²	1	1	yes	characteristic, complemented
43	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
44	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×#123	C₂²	1	1	yes	characteristic
46	C₁₉×#123	C₂²	1	1	yes	characteristic, complemented
47	C₁₉×#123	C₂²	1	1	yes	characteristic, complemented
48	C₁₉×#123	C₂²	1	1	yes	characteristic, complemented
49	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₁₉×#121	C₂²	1	1	yes	characteristic
53	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
54	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
56	#10597393	C₂²	1	1	yes	characteristic, complemented
57	#10597392	C₂²	1	1	yes	characteristic
58	#10597390	C₂²	1	1	yes	characteristic, complemented
59	#10597385	C₂²	1	1	yes	characteristic
60	#10597385	C₂²	1	1	yes	characteristic
61	#10597385	C₂²	1	1	yes	characteristic, complemented
62	#10597383	C₂²	1	1	yes	characteristic
63	#10597383	C₂²	1	1	yes	characteristic
64	#10597382	C₂²	1	1	yes	characteristic, complemented
65	#10597381	C₂²	1	1	yes	characteristic
66	D₄×Dic₁₉	C₂²	1	1	yes	characteristic
67	D₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
68	#10597375	C₂²	1	1	yes	characteristic, complemented
69	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
70	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
71	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
72	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
73	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
76	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
77	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
78	#10597372	C₂²	1	1	yes	characteristic, complemented
79	#10597370	C₂²	1	1	yes	characteristic, complemented
80	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
81	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
83	#10597344	C₂²	1	1	yes	characteristic, complemented
84	#10597344	C₂²	1	1	yes	characteristic, complemented
85	#10597344	C₂²	1	1	yes	characteristic, complemented
86	#10597344	C₂²	1	1	yes	characteristic, complemented
87	#10597343	C₂²	1	1	yes	characteristic
88	#10597343	C₂²	1	1	yes	characteristic, complemented
89	#10597343	C₂²	1	1	yes	characteristic, complemented
90	#10597342	C₂²	1	1	yes	characteristic
91	#10597342	C₂²	1	1	yes	characteristic
92	#10597342	C₂²	1	1	yes	characteristic
93	#10597342	C₂²	1	1	yes	characteristic
94	#10597342	C₂²	1	1	yes	characteristic
95	#10597342	C₂²	1	1	yes	characteristic
96	#10597342	C₂²	1	1	yes	characteristic
97	#10597342	C₂²	1	1	yes	characteristic, complemented
98	#10597342	C₂²	1	1	yes	characteristic, complemented
99	#10597342	C₂²	1	1	yes	characteristic, complemented
100	#10597342	C₂²	1	1	yes	characteristic, complemented
101	#10597342	C₂²	1	1	yes	characteristic, complemented
102	#10597342	C₂²	1	1	yes	characteristic, complemented
103	#10597342	C₂²	1	1	yes	characteristic, complemented
104	#10597342	C₂²	1	1	yes	characteristic, complemented
105	#10597341	C₂²	1	1	yes	characteristic
106	#10597340	C₂²	1	1	yes	characteristic
107	#10597340	C₂²	1	1	yes	characteristic
108	#10597340	C₂²	1	1	yes	characteristic
109	#10597340	C₂²	1	1	yes	characteristic, complemented
110	#10597340	C₂²	1	1	yes	characteristic, complemented
111	#10597340	C₂²	1	1	yes	characteristic, complemented
112	#10597339	C₂²	1	1	yes	characteristic
113	#10597339	C₂²	1	1	yes	characteristic
114	#10597339	C₂²	1	1	yes	characteristic
115	#10597339	C₂²	1	1	yes	characteristic, complemented
116	#10597339	C₂²	1	1	yes	characteristic, complemented
117	#10597338	C₂²	1	1	yes	characteristic
118	#10597338	C₂²	1	1	yes	characteristic
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
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	C₄⋊C₄×D₁₉	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	#10597334	C₂²	1	1	yes	characteristic, complemented
131	#10597334	C₂²	1	1	yes	characteristic, complemented
132	#10597334	C₂²	1	1	yes	characteristic, complemented
133	#10597333	C₂²	1	1	yes	characteristic, complemented
134	#10597333	C₂²	1	1	yes	characteristic, complemented
135	#10597333	C₂²	1	1	yes	characteristic, complemented
136	#10597333	C₂²	1	1	yes	characteristic, complemented
137	#10597333	C₂²	1	1	yes	characteristic, complemented
138	#10597333	C₂²	1	1	yes	characteristic, complemented
139	#10597332	C₂²	1	1	yes	characteristic, complemented
140	#10597332	C₂²	1	1	yes	characteristic, complemented
141	#10597331	C₂²	1	1	yes	characteristic
142	#10597331	C₂²	1	1	yes	characteristic
143	#10597331	C₂²	1	1	yes	characteristic, complemented
144	#10597331	C₂²	1	1	yes	characteristic, complemented
145	#10597331	C₂²	1	1	yes	characteristic, complemented
146	#10597330	C₂²	1	1	yes	characteristic
147	#10597330	C₂²	1	1	yes	characteristic
148	#10597330	C₂²	1	1	yes	characteristic
149	#10597330	C₂²	1	1	yes	characteristic, complemented
150	#10597329	C₂²	1	1	yes	characteristic
151	#10597329	C₂²	1	1	yes	characteristic, complemented
152	#10597329	C₂²	1	1	yes	characteristic, complemented
153	#10597329	C₂²	1	1	yes	characteristic, complemented
154	#10597328	C₂²	1	1	yes	characteristic
155	#10597328	C₂²	1	1	yes	characteristic
156	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
157	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
158	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
159	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
160	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
161	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
164	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
165	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
166	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
167	#10597325	C₂²	1	1	yes	characteristic, complemented
168	#10597325	C₂²	1	1	yes	characteristic, complemented
169	#10597325	C₂²	1	1	yes	characteristic, complemented
170	#10597324	C₂²	1	1	yes	characteristic, complemented
171	#10597324	C₂²	1	1	yes	characteristic, complemented
172	#10597324	C₂²	1	1	yes	characteristic, complemented
173	#10597324	C₂²	1	1	yes	characteristic, complemented
174	#10597324	C₂²	1	1	yes	characteristic, complemented
175	#10597324	C₂²	1	1	yes	characteristic, complemented
176	#10597323	C₂²	1	1	yes	characteristic, complemented
177	#10597323	C₂²	1	1	yes	characteristic, complemented
178	#10597323	C₂²	1	1	yes	characteristic, complemented
179	#10597322	C₂²	1	1	yes	characteristic, complemented
180	C₄×D₇₆	C₂²	1	1	yes	characteristic
181	C₄×D₇₆	C₂²	1	1	yes	characteristic
182	#10597318	C₂²	1	1	yes	characteristic, complemented
183	#10597318	C₂²	1	1	yes	characteristic, complemented
184	C₄²×D₁₉	C₂²	1	1	yes	characteristic
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	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
190	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
191	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
192	C₂×D₄×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	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
197	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
206	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
207	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
210	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
212	Q₈×D₁₉	—	4	2	no	—
213	#64543	—	2	4	no	—
214	#64543	—	4	2	no	—
215	D₄×D₁₉	—	2	4	no	—
216	#64541	—	2	4	no	—
217	#64541	—	4	2	no	—
218	C₂×D₇₆	C₂³	1	1	yes	characteristic
219	C₂×D₇₆	C₂³	1	1	yes	characteristic
220	C₂×D₇₆	C₂³	1	1	yes	characteristic
221	C₂×D₇₆	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₉	—	4	2	no	—
223	C₂×C₄×D₁₉	—	4	2	no	—
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×C₄×D₁₉	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
240	C₂×Dic₃₈	—	4	2	no	—
241	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
242	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
243	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
244	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
245	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
246	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
247	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
248	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
249	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
250	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
251	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
252	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
253	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
254	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
255	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
256	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
257	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
259	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
260	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
262	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
263	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
264	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
265	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
266	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
267	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
268	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
269	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
270	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
271	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
272	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
273	C₄²×C₁₉	C₂³	1	1	yes	characteristic
274	C₄²×C₁₉	C₂³	1	1	yes	characteristic
275	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
282	C₂²⋊Dic₁₉	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	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
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	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	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
313	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
314	C₄⋊Dic₁₉	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	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
335	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
336	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
337	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
338	Dic₁₉⋊C₄	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	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
346	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
347	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
348	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
349	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
350	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
351	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
352	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
353	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
354	C₂²×D₁₉	—	2	2	no	—
355	C₂²×D₁₉	—	2	2	no	—
356	C₂²×D₁₉	—	2	2	no	—
357	C₂²×D₁₉	—	2	2	no	—
358	C₂²×D₁₉	—	4	1	no	—
359	C₂²×D₁₉	—	4	1	no	—
360	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
361	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
362	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
363	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
364	Q₈×C₁₉	—	4	1	no	—
365	D₄×C₁₉	—	2	2	no	—
366	D₄×C₁₉	—	2	2	no	—
367	D₄×C₁₉	—	4	1	no	—
368	C₂×C₄×C₁₉	—	2	2	no	—
369	C₂×C₄×C₁₉	—	4	1	no	—
370	C₂×C₄×C₁₉	—	4	1	no	—
371	C₂×C₄×C₁₉	—	4	1	no	—
372	C₂×C₄×C₁₉	—	4	1	no	—
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	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
381	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
382	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
385	C₂²⋊D₁₉	—	2	2	no	—
386	C₂²⋊D₁₉	—	2	2	no	—
387	C₂²⋊D₁₉	—	2	2	no	—
388	C₂²⋊D₁₉	—	2	2	no	—
389	C₂²⋊D₁₉	—	2	2	no	—
390	C₂²⋊D₁₉	—	4	1	no	—
391	C₂²⋊D₁₉	—	4	1	no	—
392	C₂²⋊D₁₉	#41	1	4	yes	complemented
393	C₂×Dic₁₉	—	2	2	no	—
394	C₂×Dic₁₉	—	2	2	no	—
395	C₂×Dic₁₉	—	2	2	no	—
396	C₂×Dic₁₉	—	2	2	no	—
397	C₂×Dic₁₉	—	4	1	no	—
398	C₂×Dic₁₉	—	4	1	no	—
399	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
400	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
401	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
402	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
403	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
404	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
405	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
406	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
407	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
408	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
409	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
410	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
411	D₇₆	—	2	2	no	—
412	D₇₆	—	2	2	no	—
413	D₇₆	—	2	2	no	—
414	D₇₆	—	4	1	no	—
415	C₄×D₁₉	—	2	2	no	—
416	C₄×D₁₉	—	2	2	no	—
417	C₄×D₁₉	—	2	2	no	—
418	C₄×D₁₉	—	2	2	no	—
419	C₄×D₁₉	—	2	2	no	—
420	C₄×D₁₉	—	2	2	no	—
421	C₄×D₁₉	—	2	2	no	—
422	C₄×D₁₉	—	2	2	no	—
423	C₄×D₁₉	—	4	1	no	—
424	C₄×D₁₉	—	4	1	no	—
425	C₄×D₁₉	—	4	1	no	—
426	C₄×D₁₉	—	4	1	no	—
427	C₄×D₁₉	—	4	1	no	—
428	C₄×D₁₉	—	4	1	no	—
429	C₄×D₁₉	—	4	1	no	—
430	C₄×D₁₉	—	4	1	no	—
431	Dic₃₈	—	2	2	no	—
432	Dic₃₈	—	2	2	no	—
433	Dic₃₈	—	2	2	no	—
434	Dic₃₈	—	2	2	no	—
435	Dic₃₈	—	2	2	no	—
436	Dic₃₈	—	4	1	no	—
437	Dic₃₈	—	4	1	no	—
438	Dic₃₈	—	4	1	no	—
439	#3520	—	19	1	no	maximal, Sylow
440	C₂²×C₁₉	—	2	1	no	—
441	C₂²×C₁₉	—	2	1	no	—
442	C₂²×C₁₉	—	2	1	no	—
443	C₂²×C₁₉	—	2	1	no	—
444	C₂²×C₁₉	—	2	1	no	—
445	C₂²×C₁₉	—	2	1	no	—
446	C₂²×C₁₉	—	2	1	no	—
447	C₂²×C₁₉	—	2	1	no	—
448	C₂²×C₁₉	C₂×#41	1	2	yes	—
449	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
450	C₂×D₁₉	—	2	1	no	—
451	C₂×D₁₉	—	2	1	no	—
452	C₂×D₁₉	—	2	1	no	—
453	C₂×D₁₉	—	2	1	no	—
454	C₂×D₁₉	—	2	1	no	—
455	C₂×D₁₉	—	2	1	no	—
456	C₂×D₁₉	—	2	1	no	—
457	C₂×D₁₉	—	2	1	no	—
458	C₂×D₁₉	—	2	1	no	—
459	C₂×D₁₉	—	2	1	no	—
460	C₂×D₁₉	—	4	4	no	—
461	C₂×D₁₉	—	4	4	no	—
462	C₂×D₁₉	C₂×#41	1	2	yes	—
463	C₂×D₁₉	2₋¹⁺⁴	1	2	yes	—
464	C₄×C₁₉	—	2	1	no	—
465	C₄×C₁₉	—	2	1	no	—
466	C₄×C₁₉	—	2	1	no	—
467	C₄×C₁₉	—	2	1	no	—
468	C₄×C₁₉	—	2	1	no	—
469	C₄×C₁₉	—	2	1	no	—
470	C₄×C₁₉	—	2	1	no	—
471	C₄×C₁₉	—	2	1	no	—
472	C₄×C₁₉	—	2	1	no	—
473	C₄×C₁₉	—	2	1	no	—
474	C₄×C₁₉	—	2	1	no	—
475	C₄×C₁₉	—	2	1	no	—
476	Dic₁₉	—	2	1	no	—
477	Dic₁₉	—	2	1	no	—
478	Dic₁₉	—	2	1	no	—
479	Dic₁₉	—	2	1	no	—
480	Dic₁₉	—	2	1	no	—
481	Dic₁₉	—	2	1	no	—
482	Dic₁₉	—	2	1	no	—
483	Dic₁₉	—	2	1	no	—
484	Dic₁₉	—	2	1	no	—
485	Dic₁₉	—	2	1	no	—
486	Dic₁₉	C₂×#41	1	2	yes	—
487	Dic₁₉	H(5,𝔽₂)	1	2	yes	—
488	#556	—	19	1	no	—
489	#554	—	19	1	no	—
490	#554	—	19	1	no	—
491	#552	—	19	1	no	—
492	#552	—	19	1	no	—
493	#551	—	19	1	no	—
494	#551	—	19	1	no	—
495	#551	—	19	1	no	—
496	#551	—	19	1	no	—
497	D₄×Q₈	—	19	1	no	—
498	#548	—	19	1	no	—
499	#548	—	19	1	no	—
500	#547	—	19	1	no	—
501	#547	—	19	1	no	—
502	#546	—	19	1	no	—
503	#546	—	19	1	no	—
504	#542	—	19	1	no	—
505	#542	—	19	1	no	—
506	#539	—	19	1	no	—
507	#539	—	19	1	no	—
508	#539	—	19	1	no	—
509	#539	D₁₉	1	1	yes	characteristic, complemented
510	#533	—	19	1	no	—
511	#529	—	19	1	no	—
512	#525	—	19	1	no	—
513	#525	—	19	1	no	—
514	C₂×C₂²⋊Q₈	—	19	1	no	—
515	C₂×C₂²⋊Q₈	—	19	1	no	—
516	#520	—	19	1	no	—
517	#520	—	19	1	no	—
518	C₂×C₄×D₄	—	19	1	no	—
519	C₂×C₁₉	—	2	2	no	—
520	C₂×C₁₉	—	4	1	no	—
521	C₂×C₁₉	—	4	1	no	—
522	C₂×C₁₉	C₂²×#41	1	1	yes	characteristic
523	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
524	C₂×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
525	D₁₉	—	2	2	no	—
526	D₁₉	—	2	2	no	—
527	D₁₉	—	4	1	no	—
528	D₁₉	—	4	1	no	—
529	C₂×#41	—	19	1	no	—
530	C₂×#41	—	19	1	no	—
531	C₂×#41	—	19	1	no	—
532	C₂×#41	—	19	1	no	—
533	C₂²×Q₈	—	19	1	no	—
534	C₂²×Q₈	—	19	1	no	—
535	C₂²×D₄	—	19	1	no	—
536	C₂³×C₄	—	19	1	no	—
537	C₂³×C₄	—	19	1	no	—
538	C₄⋊Q₈	—	19	1	no	—
539	C₄⋊Q₈	—	19	1	no	—
540	C₄⋊Q₈	—	19	1	no	—
541	C₄⋊Q₈	—	19	1	no	—
542	#126	—	19	1	no	—
543	#126	—	19	1	no	—
544	#126	—	19	1	no	—
545	#126	—	19	1	no	—
546	#126	—	19	1	no	—
547	#126	—	19	1	no	—
548	#126	—	19	1	no	—
549	#126	—	19	1	no	—
550	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
551	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
552	#125	—	19	1	no	—
553	#125	—	19	1	no	—
554	#125	—	19	1	no	—
555	#125	—	19	1	no	—
556	#125	—	19	1	no	—
557	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
558	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
559	#124	—	19	1	no	—
560	#124	—	19	1	no	—
561	#124	—	19	1	no	—
562	#124	—	19	1	no	—
563	#124	—	19	1	no	—
564	#124	—	19	1	no	—
565	#124	—	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	—	19	1	no	—
578	#123	—	19	1	no	—
579	#123	—	19	1	no	—
580	#123	C₂×D₁₉	1	1	yes	characteristic
581	#123	C₂×D₁₉	1	1	yes	characteristic, complemented
582	#123	C₂×D₁₉	1	1	yes	characteristic, complemented
583	#123	C₂×D₁₉	1	1	yes	characteristic, complemented
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	—	19	1	no	—
598	C₂²⋊Q₈	—	19	1	no	—
599	C₂²⋊Q₈	—	19	1	no	—
600	C₂²⋊Q₈	—	19	1	no	—
601	C₂²⋊Q₈	—	19	1	no	—
602	C₂²⋊Q₈	—	19	1	no	—
603	C₂²⋊Q₈	—	19	1	no	—
604	C₂²⋊Q₈	—	19	1	no	—
605	C₂²⋊Q₈	—	19	1	no	—
606	C₂²⋊Q₈	—	19	1	no	—
607	C₂²⋊Q₈	—	19	1	no	—
608	C₂²⋊Q₈	—	19	1	no	—
609	C₂²⋊Q₈	—	19	1	no	—
610	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
611	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
612	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
613	#121	—	19	1	no	—
614	#121	—	19	1	no	—
615	#121	—	19	1	no	—
616	#121	—	19	1	no	—
617	#121	—	19	1	no	—
618	#121	—	19	1	no	—
619	#121	—	19	1	no	—
620	#121	—	19	1	no	—
621	#121	C₂×D₁₉	1	1	yes	characteristic
622	#120	—	19	1	no	—
623	#120	—	19	1	no	—
624	#120	—	19	1	no	—
625	#120	—	19	1	no	—
626	C₄×Q₈	—	19	1	no	—
627	C₄×Q₈	—	19	1	no	—
628	C₄×Q₈	—	19	1	no	—
629	C₄×Q₈	—	19	1	no	—
630	C₄×Q₈	—	19	1	no	—
631	C₄×Q₈	—	19	1	no	—
632	C₄×Q₈	—	19	1	no	—
633	C₄×D₄	—	19	1	no	—
634	C₄×D₄	—	19	1	no	—
635	C₄×D₄	—	19	1	no	—
636	C₄×D₄	—	19	1	no	—
637	C₄×D₄	—	19	1	no	—
638	C₄×D₄	—	19	1	no	—
639	C₄×D₄	—	19	1	no	—
640	C₄×D₄	—	19	1	no	—
641	C₄×D₄	—	19	1	no	—
642	C₄×D₄	—	19	1	no	—
643	C₄×D₄	—	19	1	no	—
644	C₄×D₄	—	19	1	no	—
645	C₄×D₄	—	19	1	no	—
646	C₄×D₄	—	19	1	no	—
647	C₄×D₄	—	19	1	no	—
648	C₄×D₄	—	19	1	no	—
649	C₄×D₄	—	19	1	no	—
650	C₄×D₄	—	19	1	no	—
651	C₄×D₄	—	19	1	no	—
652	C₄×D₄	—	19	1	no	—
653	C₄×D₄	—	19	1	no	—
654	C₄×D₄	—	19	1	no	—
655	C₄×D₄	—	19	1	no	—
656	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
657	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic, complemented
658	#117	—	19	1	no	—
659	#117	—	19	1	no	—
660	#117	—	19	1	no	—
661	#117	—	19	1	no	—
662	#117	—	19	1	no	—
663	#117	—	19	1	no	—
664	#117	—	19	1	no	—
665	#117	—	19	1	no	—
666	#117	—	19	1	no	—
667	#117	—	19	1	no	—
668	C₂×C₄⋊C₄	—	19	1	no	—
669	C₂×C₄⋊C₄	—	19	1	no	—
670	C₂×C₄⋊C₄	—	19	1	no	—
671	C₂×C₄⋊C₄	—	19	1	no	—
672	C₂×C₄⋊C₄	—	19	1	no	—
673	C₂×C₄⋊C₄	—	19	1	no	—
674	C₂×C₄⋊C₄	—	19	1	no	—
675	C₂×C₄⋊C₄	—	19	1	no	—
676	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
677	C₂×C₂²⋊C₄	—	19	1	no	—
678	C₂×C₂²⋊C₄	—	19	1	no	—
679	C₂×C₂²⋊C₄	—	19	1	no	—
680	C₂×C₂²⋊C₄	—	19	1	no	—
681	C₂×C₂²⋊C₄	—	19	1	no	—
682	C₂×C₂²⋊C₄	—	19	1	no	—
683	C₂×C₄²	—	19	1	no	—
684	C₁₉	#3520	1	1	yes	characteristic, complemented, Sylow
685	C₂⁴	—	19	1	no	—
686	C₂⁴	—	19	1	no	—
687	#41	—	38	4	no	—
688	#41	—	38	4	no	—
689	#41	—	76	2	no	—
690	#41	—	76	2	no	—
691	C₂×Q₈	—	19	1	no	—
692	C₂×Q₈	—	19	1	no	—
693	C₂×Q₈	—	19	1	no	—
694	C₂×Q₈	—	19	1	no	—
695	C₂×Q₈	—	19	1	no	—
696	C₂×Q₈	—	19	1	no	—
697	C₂×Q₈	—	19	1	no	—
698	C₂×Q₈	—	19	1	no	—
699	C₂×Q₈	—	76	2	no	—
700	C₂×Q₈	—	76	2	no	—
701	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
702	C₂×D₄	—	19	1	no	—
703	C₂×D₄	—	19	1	no	—
704	C₂×D₄	—	19	1	no	—
705	C₂×D₄	—	19	1	no	—
706	C₂×D₄	—	19	1	no	—
707	C₂×D₄	—	19	1	no	—
708	C₂×D₄	—	19	1	no	—
709	C₂×D₄	—	19	1	no	—
710	C₂×D₄	—	19	1	no	—
711	C₂×D₄	—	19	1	no	—
712	C₂×D₄	—	19	1	no	—
713	C₂×D₄	—	19	1	no	—
714	C₂×D₄	—	38	4	no	—
715	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
716	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
717	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
718	C₂²×C₄	—	19	1	no	—
719	C₂²×C₄	—	19	1	no	—
720	C₂²×C₄	—	19	1	no	—
721	C₂²×C₄	—	19	1	no	—
722	C₂²×C₄	—	19	1	no	—
723	C₂²×C₄	—	19	1	no	—
724	C₂²×C₄	—	19	1	no	—
725	C₂²×C₄	—	19	1	no	—
726	C₂²×C₄	—	19	1	no	—
727	C₂²×C₄	—	19	1	no	—
728	C₂²×C₄	—	19	1	no	—
729	C₂²×C₄	—	19	1	no	—
730	C₂²×C₄	—	19	1	no	—
731	C₂²×C₄	—	19	1	no	—
732	C₂²×C₄	—	19	1	no	—
733	C₂²×C₄	—	19	1	no	—
734	C₂²×C₄	—	19	1	no	—
735	C₂²×C₄	—	19	1	no	—
736	C₂²×C₄	—	19	1	no	—
737	C₂²×C₄	—	19	1	no	—
738	C₂²×C₄	—	19	1	no	—
739	C₂²×C₄	—	19	1	no	—
740	C₂²×C₄	—	76	2	no	—
741	C₂²×C₄	—	76	2	no	—
742	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
743	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
744	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
745	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
746	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
747	C₄⋊C₄	—	19	1	no	—
748	C₄⋊C₄	—	19	1	no	—
749	C₄⋊C₄	—	19	1	no	—
750	C₄⋊C₄	—	19	1	no	—
751	C₄⋊C₄	—	19	1	no	—
752	C₄⋊C₄	—	19	1	no	—
753	C₄⋊C₄	—	19	1	no	—
754	C₄⋊C₄	—	19	1	no	—
755	C₄⋊C₄	—	19	1	no	—
756	C₄⋊C₄	—	19	1	no	—
757	C₄⋊C₄	—	19	1	no	—
758	C₄⋊C₄	—	19	1	no	—
759	C₄⋊C₄	—	19	1	no	—
760	C₄⋊C₄	—	19	1	no	—
761	C₄⋊C₄	—	19	1	no	—
762	C₄⋊C₄	—	19	1	no	—
763	C₄⋊C₄	—	19	1	no	—
764	C₄⋊C₄	—	19	1	no	—
765	C₄⋊C₄	—	19	1	no	—
766	C₄⋊C₄	—	19	1	no	—
767	C₄⋊C₄	—	19	1	no	—
768	C₄⋊C₄	—	19	1	no	—
769	C₄⋊C₄	—	19	1	no	—
770	C₄⋊C₄	—	19	1	no	—
771	C₄⋊C₄	—	19	1	no	—
772	C₄⋊C₄	—	19	1	no	—
773	C₄⋊C₄	—	19	1	no	—
774	C₄⋊C₄	—	19	1	no	—
775	C₄⋊C₄	—	19	1	no	—
776	C₄⋊C₄	—	19	1	no	—
777	C₄⋊C₄	—	19	1	no	—
778	C₄⋊C₄	—	19	1	no	—
779	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
780	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
781	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
782	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
783	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
784	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
785	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
786	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
787	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
788	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
789	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
790	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
791	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
792	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
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	—	19	1	no	—
814	C₂²⋊C₄	—	19	1	no	—
815	C₂²⋊C₄	—	19	1	no	—
816	C₂²⋊C₄	—	19	1	no	—
817	C₂²⋊C₄	—	19	1	no	—
818	C₂²⋊C₄	—	19	1	no	—
819	C₂²⋊C₄	—	19	1	no	—
820	C₂²⋊C₄	—	19	1	no	—
821	C₂²⋊C₄	—	19	1	no	—
822	C₂²⋊C₄	—	19	1	no	—
823	C₂²⋊C₄	—	19	1	no	—
824	C₂²⋊C₄	—	19	1	no	—
825	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
826	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
827	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
828	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
829	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
830	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
831	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
832	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
833	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
834	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
835	C₄²	—	19	1	no	—
836	C₄²	—	19	1	no	—
837	C₄²	—	19	1	no	—
838	C₄²	—	19	1	no	—
839	C₄²	—	19	1	no	—
840	C₄²	—	19	1	no	—
841	C₄²	—	19	1	no	—
842	C₄²	—	19	1	no	—
843	C₄²	—	19	1	no	—
844	C₄²	—	19	1	no	—
845	C₄²	—	19	1	no	—
846	C₄²	—	19	1	no	—
847	C₄²	C₂²×D₁₉	1	1	yes	characteristic
848	C₄²	C₂²×D₁₉	1	1	yes	characteristic
849	C₂³	—	19	1	no	—
850	C₂³	—	19	1	no	—
851	C₂³	—	19	1	no	—
852	C₂³	—	19	1	no	—
853	C₂³	—	38	2	no	—
854	C₂³	—	38	2	no	—
855	C₂³	—	38	2	no	—
856	C₂³	—	38	2	no	—
857	C₂³	—	76	1	no	—
858	C₂³	—	76	1	no	—
859	C₂³	C₂³×D₁₉	1	1	yes	characteristic
860	C₂³	C₂³×D₁₉	1	1	yes	characteristic
861	C₂³	C₂³×D₁₉	1	1	yes	characteristic
862	Q₈	—	4	1	no	—
863	Q₈	—	38	2	no	—
864	Q₈	—	38	2	no	—
865	Q₈	—	38	2	no	—
866	Q₈	—	38	2	no	—
867	Q₈	—	38	2	no	—
868	Q₈	—	76	1	no	—
869	Q₈	—	76	1	no	—
870	Q₈	—	76	1	no	—
871	D₄	—	2	2	no	—
872	D₄	—	2	2	no	—
873	D₄	—	4	1	no	—
874	D₄	—	19	4	no	—
875	D₄	—	38	2	no	—
876	D₄	—	38	2	no	—
877	D₄	—	38	2	no	—
878	D₄	—	38	2	no	—
879	D₄	—	38	2	no	—
880	D₄	—	38	2	no	—
881	D₄	—	38	2	no	—
882	D₄	—	38	2	no	—
883	D₄	—	76	1	no	—
884	D₄	—	76	1	no	—
885	D₄	—	76	1	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	4	1	no	—
888	C₂×C₄	—	4	1	no	—
889	C₂×C₄	—	4	1	no	—
890	C₂×C₄	—	4	1	no	—
891	C₂×C₄	—	19	1	no	—
892	C₂×C₄	—	19	1	no	—
893	C₂×C₄	—	19	1	no	—
894	C₂×C₄	—	19	1	no	—
895	C₂×C₄	—	19	1	no	—
896	C₂×C₄	—	19	1	no	—
897	C₂×C₄	—	19	1	no	—
898	C₂×C₄	—	19	1	no	—
899	C₂×C₄	—	19	1	no	—
900	C₂×C₄	—	19	1	no	—
901	C₂×C₄	—	19	1	no	—
902	C₂×C₄	—	19	1	no	—
903	C₂×C₄	—	38	2	no	—
904	C₂×C₄	—	38	2	no	—
905	C₂×C₄	—	38	2	no	—
906	C₂×C₄	—	38	2	no	—
907	C₂×C₄	—	38	2	no	—
908	C₂×C₄	—	38	2	no	—
909	C₂×C₄	—	38	2	no	—
910	C₂×C₄	—	38	2	no	—
911	C₂×C₄	—	38	2	no	—
912	C₂×C₄	—	38	2	no	—
913	C₂×C₄	—	38	2	no	—
914	C₂×C₄	—	38	2	no	—
915	C₂×C₄	—	76	1	no	—
916	C₂×C₄	—	76	1	no	—
917	C₂×C₄	—	76	1	no	—
918	C₂×C₄	—	76	1	no	—
919	C₂×C₄	—	76	1	no	—
920	C₂×C₄	—	76	1	no	—
921	C₂×C₄	—	76	1	no	—
922	C₂×C₄	—	76	1	no	—
923	C₂×C₄	—	76	1	no	—
924	C₂×C₄	—	76	1	no	—
925	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
926	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
927	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
928	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
929	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
930	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
931	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
932	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
933	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
934	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
935	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
936	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
937	C₂²	—	2	1	no	—
938	C₂²	—	2	1	no	—
939	C₂²	—	2	1	no	—
940	C₂²	—	2	1	no	—
941	C₂²	—	2	1	no	—
942	C₂²	—	2	1	no	—
943	C₂²	—	2	1	no	—
944	C₂²	—	2	1	no	—
945	C₂²	—	19	2	no	—
946	C₂²	—	19	2	no	—
947	C₂²	—	38	1	no	—
948	C₂²	—	38	1	no	—
949	C₂²	—	38	1	no	—
950	C₂²	—	38	1	no	—
951	C₂²	—	38	1	no	—
952	C₂²	—	38	1	no	—
953	C₂²	—	38	1	no	—
954	C₂²	—	38	1	no	—
955	C₂²	—	38	1	no	—
956	C₂²	—	38	1	no	—
957	C₂²	—	76	4	no	—
958	C₂²	—	76	4	no	—
959	C₂²	#41×D₁₉	1	2	yes	—
960	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
961	C₄	—	2	1	no	—
962	C₄	—	2	1	no	—
963	C₄	—	2	1	no	—
964	C₄	—	2	1	no	—
965	C₄	—	2	1	no	—
966	C₄	—	2	1	no	—
967	C₄	—	2	1	no	—
968	C₄	—	2	1	no	—
969	C₄	—	2	1	no	—
970	C₄	—	2	1	no	—
971	C₄	—	2	1	no	—
972	C₄	—	2	1	no	—
973	C₄	—	19	2	no	—
974	C₄	—	19	2	no	—
975	C₄	—	38	1	no	—
976	C₄	—	38	1	no	—
977	C₄	—	38	1	no	—
978	C₄	—	38	1	no	—
979	C₄	—	38	1	no	—
980	C₄	—	38	1	no	—
981	C₄	—	38	1	no	—
982	C₄	—	38	1	no	—
983	C₄	—	38	1	no	—
984	C₄	—	38	1	no	—
985	C₂	—	2	2	no	—
986	C₂	—	4	1	no	—
987	C₂	—	4	1	no	—
988	C₂	—	38	2	no	—
989	C₂	—	38	2	no	—
990	C₂	—	76	1	no	—
991	C₂	—	76	1	no	—
992	C₂	C₂×#41×D₁₉	1	1	yes	characteristic
993	C₂	H(5,𝔽₂)×D₁₉	1	1	yes	characteristic
994	C₂	2₋¹⁺⁴×D₁₉	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#539	C₂
hypercenter	#539	D₁₉
hypocenter	C₁₉	#3520
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. #11927261	C₂	semidirect
2. #11927250	C₂	semidirect
3. #11927248	C₂	semidirect
4. #11927231	C₂	semidirect
5. #11927226	C₂	semidirect
6. #11927222	C₂	semidirect
7. #11927221	C₂	semidirect
8. #11927219	C₂	semidirect
9. #11927217	C₂	semidirect
10. #11927207	C₂	semidirect
11. #11927204	C₂	semidirect
12. #11927200	C₂	semidirect
13. #11927192	C₂	semidirect
14. #11927192	C₂	semidirect
15. #11927186	C₂	semidirect
16. #11927183	C₂	semidirect
17. #11927164	C₂	semidirect
18. #11927162	C₂	semidirect
19. #11927142	C₂	semidirect
20. #11927136	C₂	semidirect
21. #11927135	C₂	semidirect
22. #11927100	C₂	semidirect
23. #11927077	C₂	semidirect
24. #11927053	C₂	semidirect
25. #11927052	C₂	semidirect
26. C₂×#10597342	C₂	semidirect
27. C₂²⋊Q₈×D₁₉	C₂	semidirect
28. #11927025	C₂	semidirect
29. #11927023	C₂	semidirect
30. C₄×D₄×D₁₉	C₂	semidirect
31. C₁₉×#539	C₂	semidirect
32. C₂×Q₈×D₁₉	C₂²	semidirect
34. C₂×#64543	C₂²	semidirect
37. C₂×#64541	C₂²	semidirect
40. C₂²×Dic₃₈	C₂²	semidirect
41. C₁₉×#126	C₂²	semidirect
42. C₁₉×#126	C₂²	semidirect
43. C₁₉×#125	C₂²	semidirect
44. C₁₉×#125	C₂²	semidirect
46. C₁₉×#123	C₂²	semidirect
47. C₁₉×#123	C₂²	semidirect
48. C₁₉×#123	C₂²	semidirect
49. C₁₉×C₂²⋊Q₈	C₂²	semidirect
50. C₁₉×C₂²⋊Q₈	C₂²	semidirect
51. C₁₉×C₂²⋊Q₈	C₂²	semidirect
54. C₄×D₄×C₁₉	C₂²	semidirect
55. C₂×C₄⋊C₄×C₁₉	C₂²	semidirect
56. #10597393	C₂²	semidirect
58. #10597390	C₂²	semidirect
61. #10597385	C₂²	semidirect
64. #10597382	C₂²	semidirect
67. D₄×Dic₁₉	C₂²	semidirect
68. #10597375	C₂²	semidirect
73. C₄×C₂²⋊D₁₉	C₂²	semidirect
74. C₄×C₂²⋊D₁₉	C₂²	semidirect
75. C₄×C₂²⋊D₁₉	C₂²	semidirect
78. #10597372	C₂²	semidirect
79. #10597370	C₂²	semidirect
80. C₂×Dic₁₉⋊C₄	C₂²	semidirect
81. C₂×Dic₁₉⋊C₄	C₂²	semidirect
82. C₂×Dic₁₉⋊C₄	C₂²	semidirect
83. #10597344	C₂²	semidirect
84. #10597344	C₂²	semidirect
85. #10597344	C₂²	semidirect
86. #10597344	C₂²	semidirect
88. #10597343	C₂²	semidirect
89. #10597343	C₂²	semidirect
97. #10597342	C₂²	semidirect
98. #10597342	C₂²	semidirect
99. #10597342	C₂²	semidirect
100. #10597342	C₂²	semidirect
101. #10597342	C₂²	semidirect
102. #10597342	C₂²	semidirect
103. #10597342	C₂²	semidirect
104. #10597342	C₂²	semidirect
109. #10597340	C₂²	semidirect
110. #10597340	C₂²	semidirect
111. #10597340	C₂²	semidirect
115. #10597339	C₂²	semidirect
116. #10597339	C₂²	semidirect
119. #10597338	C₂²	semidirect
120. #10597338	C₂²	semidirect
122. C₄⋊C₄×D₁₉	C₂²	semidirect
123. C₄⋊C₄×D₁₉	C₂²	semidirect
124. C₄⋊C₄×D₁₉	C₂²	semidirect
125. C₄⋊C₄×D₁₉	C₂²	semidirect
126. #10597336	C₂²	semidirect
127. #10597335	C₂²	semidirect
128. #10597335	C₂²	semidirect
129. #10597335	C₂²	semidirect
130. #10597334	C₂²	semidirect
131. #10597334	C₂²	semidirect
132. #10597334	C₂²	semidirect
133. #10597333	C₂²	semidirect
134. #10597333	C₂²	semidirect
135. #10597333	C₂²	semidirect
136. #10597333	C₂²	semidirect
137. #10597333	C₂²	semidirect
138. #10597333	C₂²	semidirect
139. #10597332	C₂²	semidirect
140. #10597332	C₂²	semidirect
143. #10597331	C₂²	semidirect
144. #10597331	C₂²	semidirect
145. #10597331	C₂²	semidirect
149. #10597330	C₂²	semidirect
151. #10597329	C₂²	semidirect
152. #10597329	C₂²	semidirect
153. #10597329	C₂²	semidirect
161. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
162. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
167. #10597325	C₂²	semidirect
168. #10597325	C₂²	semidirect
169. #10597325	C₂²	semidirect
170. #10597324	C₂²	semidirect
171. #10597324	C₂²	semidirect
172. #10597324	C₂²	semidirect
173. #10597324	C₂²	semidirect
174. #10597324	C₂²	semidirect
175. #10597324	C₂²	semidirect
176. #10597323	C₂²	semidirect
177. #10597323	C₂²	semidirect
178. #10597323	C₂²	semidirect
179. #10597322	C₂²	semidirect
182. #10597318	C₂²	semidirect
183. #10597318	C₂²	semidirect
185. #10597316	C₂²	semidirect
186. C₄×Dic₃₈	C₂²	semidirect
392. C₂²⋊D₁₉	#41	semidirect
509. #539	D₁₉	semidirect
550. #126	C₂×D₁₉	semidirect
551. #126	C₂×D₁₉	semidirect
557. #125	C₂×D₁₉	semidirect
558. #125	C₂×D₁₉	semidirect
581. #123	C₂×D₁₉	semidirect
582. #123	C₂×D₁₉	semidirect
583. #123	C₂×D₁₉	semidirect
610. C₂²⋊Q₈	C₂×D₁₉	semidirect
611. C₂²⋊Q₈	C₂×D₁₉	semidirect
612. C₂²⋊Q₈	C₂×D₁₉	semidirect
657. C₄×D₄	C₂×D₁₉	semidirect
676. C₂×C₄⋊C₄	C₂×D₁₉	semidirect
684. C₁₉	#3520	semidirect

Maximal subgroups

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

subgroup	index
#11927261	2
#11927250	2
#11927248	2
#11927231	2
#11927226	2
#11927222	2
#11927221	2
#11927219	2
#11927217	2
#11927207	2
#11927204	2
#11927200	2
#11927192	2
#11927186	2
#11927183	2
#11927164	2
#11927162	2
#11927142	2
#11927136	2
#11927135	2
#11927100	2
#11927077	2
#11927053	2
#11927052	2
C₂×#10597342	2
C₂²⋊Q₈×D₁₉	2
#11927025	2
#11927023	2
C₄×D₄×D₁₉	2
C₁₉×#539	2
#3520	19