Subgroups — #14577690

Order 2432.

1042 conjugacy classes of subgroups.

The subgroup lattice has 968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927266	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927261	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927248	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927247	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927245	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927243	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927226	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927226	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927221	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927218	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927218	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927218	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927195	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927186	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927186	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927164	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927153	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927142	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927138	C₂	1	1	yes	maximal, characteristic, complemented
20	#11927134	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927133	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927081	C₂	1	1	yes	maximal, characteristic, complemented
23	#11927079	C₂	1	1	yes	maximal, characteristic, complemented
24	#11927072	C₂	1	1	yes	maximal, characteristic, complemented
25	#11927071	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#10597344	C₂	1	1	yes	maximal, characteristic, complemented
27	#126×D₁₉	C₂	1	1	yes	maximal, characteristic, complemented
28	#11927024	C₂	1	1	yes	maximal, characteristic, complemented
29	#11927016	C₂	1	1	yes	maximal, characteristic, complemented
30	#11927012	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	C₂×#64541	C₂²	1	1	yes	characteristic
34	C₂×#64541	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
51	#10597393	C₂²	1	1	yes	characteristic, complemented
52	#10597392	C₂²	1	1	yes	characteristic, complemented
53	#10597390	C₂²	1	1	yes	characteristic, complemented
54	#10597385	C₂²	1	1	yes	characteristic
55	#10597385	C₂²	1	1	yes	characteristic
56	D₄×Dic₁₉	C₂²	1	1	yes	characteristic
57	#10597376	C₂²	1	1	yes	characteristic, complemented
58	#10597375	C₂²	1	1	yes	characteristic, complemented
59	#10597375	C₂²	1	1	yes	characteristic, complemented
60	#10597375	C₂²	1	1	yes	characteristic, complemented
61	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
62	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
63	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
64	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
65	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
66	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
67	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
68	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic, complemented
69	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₄×Dic₁₉	C₂²	1	1	yes	characteristic, complemented
71	#10597344	C₂²	1	1	yes	characteristic
72	#10597344	C₂²	1	1	yes	characteristic
73	#10597344	C₂²	1	1	yes	characteristic
74	#10597344	C₂²	1	1	yes	characteristic
75	#10597344	C₂²	1	1	yes	characteristic
76	#10597344	C₂²	1	1	yes	characteristic
77	#10597344	C₂²	1	1	yes	characteristic
78	#10597344	C₂²	1	1	yes	characteristic, complemented
79	#10597344	C₂²	1	1	yes	characteristic, complemented
80	#10597344	C₂²	1	1	yes	characteristic, complemented
81	#10597344	C₂²	1	1	yes	characteristic, complemented
82	#10597344	C₂²	1	1	yes	characteristic, complemented
83	#10597344	C₂²	1	1	yes	characteristic, complemented
84	#10597344	C₂²	1	1	yes	characteristic, complemented
85	#10597343	C₂²	1	1	yes	characteristic, complemented
86	#10597342	C₂²	1	1	yes	characteristic
87	#10597342	C₂²	1	1	yes	characteristic
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	#10597342	C₂²	1	1	yes	characteristic, complemented
92	#10597342	C₂²	1	1	yes	characteristic, complemented
93	#10597342	C₂²	1	1	yes	characteristic, complemented
94	#10597341	C₂²	1	1	yes	characteristic
95	#10597341	C₂²	1	1	yes	characteristic
96	#10597341	C₂²	1	1	yes	characteristic
97	#10597341	C₂²	1	1	yes	characteristic, complemented
98	#10597341	C₂²	1	1	yes	characteristic, complemented
99	#10597340	C₂²	1	1	yes	characteristic
100	#10597340	C₂²	1	1	yes	characteristic
101	#10597340	C₂²	1	1	yes	characteristic
102	#10597340	C₂²	1	1	yes	characteristic
103	#10597340	C₂²	1	1	yes	characteristic
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	#10597340	C₂²	1	1	yes	characteristic, complemented
110	#10597339	C₂²	1	1	yes	characteristic
111	#10597339	C₂²	1	1	yes	characteristic
112	#10597339	C₂²	1	1	yes	characteristic
113	#10597339	C₂²	1	1	yes	characteristic, complemented
114	#10597339	C₂²	1	1	yes	characteristic, complemented
115	#10597339	C₂²	1	1	yes	characteristic, complemented
116	#10597338	C₂²	1	1	yes	characteristic
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	C₄⋊C₄×D₁₉	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	#10597336	C₂²	1	1	yes	characteristic, complemented
125	#10597335	C₂²	1	1	yes	characteristic, complemented
126	#10597335	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	#10597333	C₂²	1	1	yes	characteristic, complemented
132	#10597333	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, complemented
136	#10597331	C₂²	1	1	yes	characteristic
137	#10597331	C₂²	1	1	yes	characteristic
138	#10597331	C₂²	1	1	yes	characteristic, complemented
139	#10597330	C₂²	1	1	yes	characteristic
140	#10597330	C₂²	1	1	yes	characteristic
141	#10597330	C₂²	1	1	yes	characteristic, complemented
142	#10597329	C₂²	1	1	yes	characteristic, complemented
143	#10597328	C₂²	1	1	yes	characteristic
144	#10597328	C₂²	1	1	yes	characteristic
145	#10597328	C₂²	1	1	yes	characteristic
146	#10597328	C₂²	1	1	yes	characteristic
147	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
148	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
149	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
150	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
151	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic, complemented
153	(C₂²⋊D₁₉)⋊C₄	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⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
160	#10597325	C₂²	1	1	yes	characteristic, complemented
161	#10597325	C₂²	1	1	yes	characteristic, complemented
162	#10597325	C₂²	1	1	yes	characteristic, complemented
163	#10597324	C₂²	1	1	yes	characteristic, complemented
164	#10597324	C₂²	1	1	yes	characteristic, complemented
165	#10597324	C₂²	1	1	yes	characteristic, complemented
166	#10597323	C₂²	1	1	yes	characteristic, complemented
167	#10597322	C₂²	1	1	yes	characteristic
168	#10597322	C₂²	1	1	yes	characteristic
169	#10597322	C₂²	1	1	yes	characteristic, complemented
170	#10597321	C₂²	1	1	yes	characteristic
171	#10597321	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
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	C₄×Dic₃₈	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	C₂²×C₄×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	C₂×C₂²⋊D₁₉	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	C₂×C₂²⋊D₁₉	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
203	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
204	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
205	D₄×D₁₉	—	2	4	no	—
206	#64541	—	2	4	no	—
207	#64541	—	2	4	no	—
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×D₇₆	C₂³	1	1	yes	characteristic
213	C₂×D₇₆	C₂³	1	1	yes	characteristic
214	C₂×D₇₆	C₂³	1	1	yes	characteristic
215	C₂×D₇₆	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×C₄×D₁₉	C₂³	1	1	yes	characteristic
231	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
232	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
233	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
234	C₂×Dic₃₈	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	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
250	C₄⋊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	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
258	C₂²⋊C₄×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	C₄²×C₁₉	C₂³	1	1	yes	characteristic
263	C₄²×C₁₉	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	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
311	Dic₁₉⋊C₄	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	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
333	C₄×Dic₁₉	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	C₂⁴	1	1	yes	characteristic
354	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
355	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
356	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
357	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
358	Q₈×C₁₉	—	4	1	no	—
359	D₄×C₁₉	—	2	2	no	—
360	C₂×C₄×C₁₉	—	2	2	no	—
361	C₂×C₄×C₁₉	—	2	2	no	—
362	C₂×C₄×C₁₉	—	4	1	no	—
363	C₂×C₄×C₁₉	—	4	1	no	—
364	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
365	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
366	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	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	#41	1	4	yes	—
383	C₂×Dic₁₉	—	4	1	no	—
384	C₂×Dic₁₉	—	4	1	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	—	4	1	no	—
402	D₇₆	—	4	1	no	—
403	D₇₆	—	4	1	no	—
404	D₇₆	—	4	1	no	—
405	D₇₆	—	4	1	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	—	2	2	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	Dic₃₈	—	2	2	no	—
422	Dic₃₈	—	2	2	no	—
423	Dic₃₈	—	4	1	no	—
424	Dic₃₈	—	4	1	no	—
425	#3521	—	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	—	2	1	no	—
447	C₂×D₁₉	—	8	2	no	—
448	C₂×D₁₉	—	8	2	no	—
449	C₂×D₁₉	C₂×#41	1	2	yes	—
450	C₄×C₁₉	—	2	1	no	—
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	Dic₁₉	—	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	C₂×#41	1	2	yes	—
474	#556	—	19	1	no	—
475	#556	—	19	1	no	—
476	#554	—	19	1	no	—
477	#553	—	19	1	no	—
478	#553	—	19	1	no	—
479	#553	—	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	#547	—	19	1	no	—
488	#546	—	19	1	no	—
489	#546	—	19	1	no	—
490	#542	—	19	1	no	—
491	#541	—	19	1	no	—
492	#539	—	19	1	no	—
493	#539	—	19	1	no	—
494	#538	—	19	1	no	—
495	#538	—	19	1	no	—
496	#529	—	19	1	no	—
497	#529	—	19	1	no	—
498	#529	—	19	1	no	—
499	#529	—	19	1	no	—
500	C₂×#126	—	19	1	no	—
501	C₂×#126	—	19	1	no	—
502	#520	—	19	1	no	—
503	#518	—	19	1	no	—
504	C₄×#41	—	19	1	no	—
505	C₂×C₁₉	—	2	2	no	—
506	C₂×C₁₉	—	4	1	no	—
507	C₂×C₁₉	C₂²×#41	1	1	yes	characteristic
508	C₂×C₁₉	#585	1	1	yes	characteristic
509	C₂×C₁₉	#585	1	1	yes	characteristic
510	D₁₉	—	2	2	no	—
511	D₁₉	—	4	1	no	—
512	D₁₉	—	4	1	no	—
513	D₁₉	—	4	1	no	—
514	D₁₉	—	4	1	no	—
515	C₂×#41	—	19	1	no	—
516	C₂×#41	—	19	1	no	—
517	C₂²×D₄	—	19	1	no	—
518	C₄⋊Q₈	—	19	1	no	—
519	C₄⋊Q₈	—	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	—	19	1	no	—
534	#126	—	19	1	no	—
535	#126	—	19	1	no	—
536	#126	—	19	1	no	—
537	#126	—	19	1	no	—
538	#126	—	19	1	no	—
539	#126	—	19	1	no	—
540	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
541	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
542	#125	—	19	1	no	—
543	#125	—	19	1	no	—
544	#125	—	19	1	no	—
545	#125	—	19	1	no	—
546	#125	—	19	1	no	—
547	#125	—	19	1	no	—
548	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
549	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
550	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
551	#124	—	19	1	no	—
552	#124	—	19	1	no	—
553	#124	—	19	1	no	—
554	#124	—	19	1	no	—
555	#124	—	19	1	no	—
556	#124	—	19	1	no	—
557	#124	—	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	C₂×D₁₉	1	1	yes	characteristic
575	#123	C₂×D₁₉	1	1	yes	characteristic
576	C₂²⋊Q₈	—	19	1	no	—
577	C₂²⋊Q₈	—	19	1	no	—
578	C₂²⋊Q₈	—	19	1	no	—
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	C₂×D₁₉	1	1	yes	characteristic, complemented
590	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
591	#121	—	19	1	no	—
592	#121	—	19	1	no	—
593	#121	—	19	1	no	—
594	#121	—	19	1	no	—
595	#121	—	19	1	no	—
596	#121	—	19	1	no	—
597	#121	—	19	1	no	—
598	#121	—	19	1	no	—
599	#121	—	19	1	no	—
600	#121	—	19	1	no	—
601	#121	—	19	1	no	—
602	#120	—	19	1	no	—
603	#120	—	19	1	no	—
604	#120	—	19	1	no	—
605	#120	—	19	1	no	—
606	C₄×Q₈	—	19	1	no	—
607	C₄×Q₈	—	19	1	no	—
608	C₄×Q₈	—	19	1	no	—
609	C₄×Q₈	—	19	1	no	—
610	C₄×Q₈	—	19	1	no	—
611	C₄×Q₈	—	19	1	no	—
612	C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
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	—	19	1	no	—
631	C₄×D₄	—	19	1	no	—
632	C₄×D₄	—	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	C₂×D₁₉	1	1	yes	characteristic
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	—	19	1	no	—
649	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
650	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
651	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
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	—	19	1	no	—
657	C₂×C₄⋊C₄	—	19	1	no	—
658	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
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×C₄²	—	19	1	no	—
668	C₂×C₄²	—	19	1	no	—
669	C₂×C₄²	—	19	1	no	—
670	C₁₉	#3521	1	1	yes	characteristic, complemented, Sylow
671	C₂⁴	—	19	1	no	—
672	C₂⁴	—	19	1	no	—
673	#41	—	38	4	no	—
674	#41	—	38	4	no	—
675	C₂×Q₈	—	19	1	no	—
676	C₂×Q₈	—	19	1	no	—
677	C₂×Q₈	—	19	1	no	—
678	C₂×Q₈	—	19	1	no	—
679	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
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	—	19	1	no	—
691	C₂×D₄	—	19	1	no	—
692	C₂×D₄	—	19	1	no	—
693	C₂×D₄	—	19	1	no	—
694	C₂×D₄	—	38	4	no	—
695	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
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	—	19	1	no	—
714	C₂²×C₄	—	19	1	no	—
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	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
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	C₂²×D₁₉	1	1	yes	characteristic
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	C₂²⋊C₄	—	19	1	no	—
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	C₂²×D₁₉	1	1	yes	characteristic
804	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
805	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
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	C₄²	—	19	1	no	—
812	C₄²	—	19	1	no	—
813	C₄²	—	19	1	no	—
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	C₂²×D₁₉	1	1	yes	characteristic
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	C₂³	—	19	1	no	—
830	C₂³	—	19	1	no	—
831	C₂³	—	19	1	no	—
832	C₂³	—	19	1	no	—
833	C₂³	—	19	1	no	—
834	C₂³	—	38	2	no	—
835	C₂³	—	38	2	no	—
836	C₂³	—	76	1	no	—
837	C₂³	—	76	1	no	—
838	C₂³	—	76	1	no	—
839	C₂³	—	76	1	no	—
840	C₂³	C₂³×D₁₉	1	1	yes	characteristic
841	C₂³	C₂³×D₁₉	1	1	yes	characteristic
842	Q₈	—	4	1	no	—
843	Q₈	—	38	2	no	—
844	Q₈	—	38	2	no	—
845	Q₈	—	76	1	no	—
846	Q₈	—	76	1	no	—
847	D₄	—	2	2	no	—
848	D₄	—	19	4	no	—
849	D₄	—	38	2	no	—
850	D₄	—	38	2	no	—
851	D₄	—	38	2	no	—
852	D₄	—	38	2	no	—
853	D₄	—	38	2	no	—
854	D₄	—	38	2	no	—
855	D₄	—	76	1	no	—
856	D₄	—	76	1	no	—
857	D₄	—	76	1	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	—	76	1	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	C₂³×D₁₉	1	1	yes	characteristic
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	C₂²	—	2	1	no	—
910	C₂²	—	2	1	no	—
911	C₂²	—	2	1	no	—
912	C₂²	—	2	1	no	—
913	C₂²	—	2	1	no	—
914	C₂²	—	19	2	no	—
915	C₂²	—	38	1	no	—
916	C₂²	—	38	1	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	—	152	2	no	—
930	C₂²	—	152	2	no	—
931	C₂²	#41×D₁₉	1	2	yes	—
932	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
933	C₄	—	2	1	no	—
934	C₄	—	2	1	no	—
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	—	19	2	no	—
947	C₄	—	38	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	C₂	—	2	2	no	—
958	C₂	—	4	1	no	—
959	C₂	—	38	2	no	—
960	C₂	—	76	1	no	—
961	C₂	—	76	1	no	—
962	C₂	—	76	1	no	—
963	C₂	—	76	1	no	—
964	C₂	C₂×#41×D₁₉	1	1	yes	characteristic
965	C₂	#11927380	1	1	yes	characteristic
966	C₂	#11927381	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#552	C₂
hypercenter	#552	D₁₉
hypocenter	C₁₉	#3521
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. #11927266	C₂	semidirect
2. #11927261	C₂	semidirect
3. #11927248	C₂	semidirect
4. #11927247	C₂	semidirect
5. #11927245	C₂	semidirect
6. #11927243	C₂	semidirect
7. #11927226	C₂	semidirect
8. #11927226	C₂	semidirect
9. #11927221	C₂	semidirect
10. #11927218	C₂	semidirect
11. #11927218	C₂	semidirect
12. #11927218	C₂	semidirect
13. #11927195	C₂	semidirect
14. #11927186	C₂	semidirect
15. #11927186	C₂	semidirect
16. #11927164	C₂	semidirect
17. #11927153	C₂	semidirect
18. #11927142	C₂	semidirect
19. #11927138	C₂	semidirect
20. #11927134	C₂	semidirect
21. #11927133	C₂	semidirect
22. #11927081	C₂	semidirect
23. #11927079	C₂	semidirect
24. #11927072	C₂	semidirect
25. #11927071	C₂	semidirect
26. C₂×#10597344	C₂	semidirect
27. #126×D₁₉	C₂	semidirect
28. #11927024	C₂	semidirect
29. #11927016	C₂	semidirect
30. #11927012	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
51. #10597393	C₂²	semidirect
52. #10597392	C₂²	semidirect
53. #10597390	C₂²	semidirect
57. #10597376	C₂²	semidirect
58. #10597375	C₂²	semidirect
59. #10597375	C₂²	semidirect
60. #10597375	C₂²	semidirect
63. C₄×C₂²⋊D₁₉	C₂²	semidirect
68. C₂×C₄⋊Dic₁₉	C₂²	semidirect
69. C₂×Dic₁₉⋊C₄	C₂²	semidirect
70. C₂×C₄×Dic₁₉	C₂²	semidirect
78. #10597344	C₂²	semidirect
79. #10597344	C₂²	semidirect
80. #10597344	C₂²	semidirect
81. #10597344	C₂²	semidirect
82. #10597344	C₂²	semidirect
83. #10597344	C₂²	semidirect
84. #10597344	C₂²	semidirect
85. #10597343	C₂²	semidirect
88. #10597342	C₂²	semidirect
89. #10597342	C₂²	semidirect
90. #10597342	C₂²	semidirect
91. #10597342	C₂²	semidirect
92. #10597342	C₂²	semidirect
93. #10597342	C₂²	semidirect
97. #10597341	C₂²	semidirect
98. #10597341	C₂²	semidirect
104. #10597340	C₂²	semidirect
105. #10597340	C₂²	semidirect
106. #10597340	C₂²	semidirect
107. #10597340	C₂²	semidirect
108. #10597340	C₂²	semidirect
109. #10597340	C₂²	semidirect
113. #10597339	C₂²	semidirect
114. #10597339	C₂²	semidirect
115. #10597339	C₂²	semidirect
117. #10597338	C₂²	semidirect
118. #10597338	C₂²	semidirect
119. #10597338	C₂²	semidirect
120. C₄⋊C₄×D₁₉	C₂²	semidirect
121. C₄⋊C₄×D₁₉	C₂²	semidirect
122. C₄⋊C₄×D₁₉	C₂²	semidirect
123. C₄⋊C₄×D₁₉	C₂²	semidirect
124. #10597336	C₂²	semidirect
125. #10597335	C₂²	semidirect
126. #10597335	C₂²	semidirect
127. #10597335	C₂²	semidirect
128. #10597335	C₂²	semidirect
129. #10597335	C₂²	semidirect
130. #10597334	C₂²	semidirect
131. #10597333	C₂²	semidirect
132. #10597333	C₂²	semidirect
133. #10597333	C₂²	semidirect
134. #10597333	C₂²	semidirect
135. #10597332	C₂²	semidirect
138. #10597331	C₂²	semidirect
141. #10597330	C₂²	semidirect
142. #10597329	C₂²	semidirect
151. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
152. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
153. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
154. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
155. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
160. #10597325	C₂²	semidirect
161. #10597325	C₂²	semidirect
162. #10597325	C₂²	semidirect
163. #10597324	C₂²	semidirect
164. #10597324	C₂²	semidirect
165. #10597324	C₂²	semidirect
166. #10597323	C₂²	semidirect
169. #10597322	C₂²	semidirect
173. C₄×D₇₆	C₂²	semidirect
174. C₄×D₇₆	C₂²	semidirect
175. C₄×D₇₆	C₂²	semidirect
176. C₄×D₇₆	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. C₄×Dic₃₈	C₂²	semidirect
186. C₄×Dic₃₈	C₂²	semidirect
482. #552	D₁₉	semidirect
540. #126	C₂×D₁₉	semidirect
541. #126	C₂×D₁₉	semidirect
548. #125	C₂×D₁₉	semidirect
549. #125	C₂×D₁₉	semidirect
550. #125	C₂×D₁₉	semidirect
589. C₂²⋊Q₈	C₂×D₁₉	semidirect
590. C₂²⋊Q₈	C₂×D₁₉	semidirect
612. C₄×Q₈	C₂×D₁₉	semidirect
649. #117	C₂×D₁₉	semidirect
650. #117	C₂×D₁₉	semidirect
651. #117	C₂×D₁₉	semidirect
658. C₂×C₄⋊C₄	C₂×D₁₉	semidirect
670. C₁₉	#3521	semidirect

Maximal subgroups

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

subgroup	index
#11927266	2
#11927261	2
#11927248	2
#11927247	2
#11927245	2
#11927243	2
#11927226	2
#11927221	2
#11927218	2
#11927195	2
#11927186	2
#11927164	2
#11927153	2
#11927142	2
#11927138	2
#11927134	2
#11927133	2
#11927081	2
#11927079	2
#11927072	2
#11927071	2
C₂×#10597344	2
#126×D₁₉	2
#11927024	2
#11927016	2
#11927012	2
C₁₉×#552	2
#3521	19