Subgroups — #14577921

Order 2432.

1032 conjugacy classes of subgroups.

The subgroup lattice has 980 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927295	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927293	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927292	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927290	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927266	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927248	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927248	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927243	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927243	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927242	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927226	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927207	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927204	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927203	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927195	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927166	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927164	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927164	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927153	C₂	1	1	yes	maximal, characteristic, complemented
20	#11927142	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927141	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927134	C₂	1	1	yes	maximal, characteristic, complemented
23	#11927134	C₂	1	1	yes	maximal, characteristic, complemented
24	#11927127	C₂	1	1	yes	maximal, characteristic, complemented
25	#11927127	C₂	1	1	yes	maximal, characteristic, complemented
26	#11927124	C₂	1	1	yes	maximal, characteristic, complemented
27	#11927119	C₂	1	1	yes	maximal, characteristic, complemented
28	#11927057	C₂	1	1	yes	maximal, characteristic, complemented
29	#11927053	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#10597342	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#554	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#64545	C₂²	1	1	yes	characteristic
33	C₂×Q₈×D₁₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#64541	C₂²	1	1	yes	characteristic
35	C₂×#64541	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₄×D₁₉	C₂²	1	1	yes	characteristic
37	C₂²×Dic₃₈	C₂²	1	1	yes	characteristic
38	C₁₉×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
40	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
41	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
48	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
49	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
50	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic, complemented
53	#10597393	C₂²	1	1	yes	characteristic
54	#10597393	C₂²	1	1	yes	characteristic
55	#10597393	C₂²	1	1	yes	characteristic
56	#10597393	C₂²	1	1	yes	characteristic
57	#10597392	C₂²	1	1	yes	characteristic
58	#10597392	C₂²	1	1	yes	characteristic, complemented
59	#10597392	C₂²	1	1	yes	characteristic, complemented
60	#10597390	C₂²	1	1	yes	characteristic, complemented
61	#10597390	C₂²	1	1	yes	characteristic, complemented
62	#10597390	C₂²	1	1	yes	characteristic, complemented
63	#10597385	C₂²	1	1	yes	characteristic
64	#10597385	C₂²	1	1	yes	characteristic
65	#10597385	C₂²	1	1	yes	characteristic
66	#10597383	C₂²	1	1	yes	characteristic
67	#10597376	C₂²	1	1	yes	characteristic
68	#10597376	C₂²	1	1	yes	characteristic
69	#10597376	C₂²	1	1	yes	characteristic
70	#10597376	C₂²	1	1	yes	characteristic
71	#10597376	C₂²	1	1	yes	characteristic
72	#10597375	C₂²	1	1	yes	characteristic
73	#10597375	C₂²	1	1	yes	characteristic
74	#10597375	C₂²	1	1	yes	characteristic, complemented
75	#10597375	C₂²	1	1	yes	characteristic, complemented
76	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
77	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
78	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
81	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic, complemented
82	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
83	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
84	#10597370	C₂²	1	1	yes	characteristic, complemented
85	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic
86	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic
87	#10597344	C₂²	1	1	yes	characteristic
88	#10597344	C₂²	1	1	yes	characteristic
89	#10597344	C₂²	1	1	yes	characteristic
90	#10597344	C₂²	1	1	yes	characteristic
91	#10597344	C₂²	1	1	yes	characteristic
92	#10597344	C₂²	1	1	yes	characteristic
93	#10597344	C₂²	1	1	yes	characteristic, complemented
94	#10597344	C₂²	1	1	yes	characteristic, complemented
95	#10597343	C₂²	1	1	yes	characteristic, complemented
96	#10597342	C₂²	1	1	yes	characteristic
97	#10597342	C₂²	1	1	yes	characteristic
98	#10597342	C₂²	1	1	yes	characteristic
99	#10597342	C₂²	1	1	yes	characteristic
100	#10597342	C₂²	1	1	yes	characteristic
101	#10597342	C₂²	1	1	yes	characteristic
102	#10597342	C₂²	1	1	yes	characteristic
103	#10597342	C₂²	1	1	yes	characteristic
104	#10597342	C₂²	1	1	yes	characteristic
105	#10597342	C₂²	1	1	yes	characteristic, complemented
106	#10597342	C₂²	1	1	yes	characteristic, complemented
107	#10597342	C₂²	1	1	yes	characteristic, complemented
108	#10597342	C₂²	1	1	yes	characteristic, complemented
109	#10597342	C₂²	1	1	yes	characteristic, complemented
110	#10597342	C₂²	1	1	yes	characteristic, complemented
111	#10597342	C₂²	1	1	yes	characteristic, complemented
112	#10597342	C₂²	1	1	yes	characteristic, complemented
113	#10597341	C₂²	1	1	yes	characteristic
114	#10597341	C₂²	1	1	yes	characteristic
115	#10597341	C₂²	1	1	yes	characteristic
116	#10597341	C₂²	1	1	yes	characteristic
117	#10597341	C₂²	1	1	yes	characteristic
118	#10597341	C₂²	1	1	yes	characteristic, complemented
119	#10597340	C₂²	1	1	yes	characteristic
120	#10597340	C₂²	1	1	yes	characteristic
121	#10597340	C₂²	1	1	yes	characteristic
122	#10597340	C₂²	1	1	yes	characteristic
123	#10597340	C₂²	1	1	yes	characteristic
124	#10597340	C₂²	1	1	yes	characteristic
125	#10597340	C₂²	1	1	yes	characteristic
126	#10597340	C₂²	1	1	yes	characteristic
127	#10597340	C₂²	1	1	yes	characteristic
128	#10597340	C₂²	1	1	yes	characteristic, complemented
129	#10597340	C₂²	1	1	yes	characteristic, complemented
130	#10597340	C₂²	1	1	yes	characteristic, complemented
131	#10597340	C₂²	1	1	yes	characteristic, complemented
132	#10597339	C₂²	1	1	yes	characteristic
133	#10597339	C₂²	1	1	yes	characteristic
134	#10597339	C₂²	1	1	yes	characteristic, complemented
135	#10597338	C₂²	1	1	yes	characteristic
136	#10597338	C₂²	1	1	yes	characteristic, complemented
137	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
138	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
139	#10597336	C₂²	1	1	yes	characteristic, complemented
140	#10597335	C₂²	1	1	yes	characteristic, complemented
141	#10597335	C₂²	1	1	yes	characteristic, complemented
142	#10597335	C₂²	1	1	yes	characteristic, complemented
143	#10597335	C₂²	1	1	yes	characteristic, complemented
144	#10597335	C₂²	1	1	yes	characteristic, complemented
145	#10597335	C₂²	1	1	yes	characteristic, complemented
146	#10597334	C₂²	1	1	yes	characteristic, complemented
147	#10597334	C₂²	1	1	yes	characteristic, complemented
148	#10597333	C₂²	1	1	yes	characteristic, complemented
149	#10597333	C₂²	1	1	yes	characteristic, complemented
150	#10597333	C₂²	1	1	yes	characteristic, complemented
151	#10597331	C₂²	1	1	yes	characteristic
152	#10597331	C₂²	1	1	yes	characteristic
153	#10597331	C₂²	1	1	yes	characteristic, complemented
154	#10597331	C₂²	1	1	yes	characteristic, complemented
155	#10597330	C₂²	1	1	yes	characteristic
156	#10597330	C₂²	1	1	yes	characteristic
157	#10597330	C₂²	1	1	yes	characteristic
158	#10597330	C₂²	1	1	yes	characteristic, complemented
159	#10597330	C₂²	1	1	yes	characteristic, complemented
160	#10597329	C₂²	1	1	yes	characteristic
161	#10597328	C₂²	1	1	yes	characteristic
162	#10597328	C₂²	1	1	yes	characteristic
163	#10597328	C₂²	1	1	yes	characteristic
164	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
165	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
166	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
167	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
168	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
169	(C₂²⋊D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
170	#10597325	C₂²	1	1	yes	characteristic, complemented
171	#10597325	C₂²	1	1	yes	characteristic, complemented
172	#10597324	C₂²	1	1	yes	characteristic
173	#10597324	C₂²	1	1	yes	characteristic
174	#10597324	C₂²	1	1	yes	characteristic
175	#10597322	C₂²	1	1	yes	characteristic
176	#10597322	C₂²	1	1	yes	characteristic
177	#10597322	C₂²	1	1	yes	characteristic, complemented
178	#10597322	C₂²	1	1	yes	characteristic, complemented
179	#10597321	C₂²	1	1	yes	characteristic
180	#10597321	C₂²	1	1	yes	characteristic
181	#10597321	C₂²	1	1	yes	characteristic, complemented
182	C₄×D₇₆	C₂²	1	1	yes	characteristic
183	#10597318	C₂²	1	1	yes	characteristic
184	#10597318	C₂²	1	1	yes	characteristic, complemented
185	#10597318	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₉	C₂³	1	1	yes	characteristic
188	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
189	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
190	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
191	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
192	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
195	C₂²×C₄×C₁₉	C₂³	1	1	yes	characteristic
196	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	#64545	—	4	2	no	—
210	Q₈×D₁₉	—	4	2	no	—
211	#64541	—	4	2	no	—
212	#64541	—	4	2	no	—
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×D₇₆	C₂³	1	1	yes	characteristic
217	C₂×D₇₆	C₂³	1	1	yes	characteristic
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	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×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×Dic₃₈	—	4	2	no	—
237	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
238	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
239	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
240	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
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	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	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	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
261	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
262	C₂²⋊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	C₄²×C₁₉	C₂³	1	1	yes	characteristic
267	C₄²×C₁₉	C₂³	1	1	yes	characteristic
268	C₄²×C₁₉	C₂³	1	1	yes	characteristic
269	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₁₉	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	(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	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
314	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
315	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
316	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
317	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
318	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
319	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
320	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
321	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
322	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
323	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
324	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
325	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
326	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
327	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
328	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
329	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
330	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
331	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
332	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
333	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
334	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	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
349	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
350	C₂²×D₁₉	—	2	2	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	Q₈×C₁₉	—	4	1	no	—
360	Q₈×C₁₉	—	4	1	no	—
361	D₄×C₁₉	—	2	2	no	—
362	C₂×C₄×C₁₉	—	4	1	no	—
363	C₂×C₄×C₁₉	—	4	1	no	—
364	C₂×C₄×C₁₉	—	4	1	no	—
365	C₂×C₄×C₁₉	—	4	1	no	—
366	C₂×C₄×C₁₉	—	4	1	no	—
367	C₂×C₄×C₁₉	—	4	1	no	—
368	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
369	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
370	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
371	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
372	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
373	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
374	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
375	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
376	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
377	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
378	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
379	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
380	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
381	C₂²⋊D₁₉	—	2	2	no	—
382	C₂²⋊D₁₉	—	2	2	no	—
383	C₂²⋊D₁₉	—	2	2	no	—
384	C₂²⋊D₁₉	—	2	2	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	C₂×Dic₁₉	—	2	2	no	—
390	C₂×Dic₁₉	—	4	1	no	—
391	C₂×Dic₁₉	—	4	1	no	—
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	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
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	D₇₆	—	4	1	no	—
404	D₇₆	—	4	1	no	—
405	D₇₆	—	4	1	no	—
406	D₇₆	—	4	1	no	—
407	D₇₆	—	4	1	no	—
408	D₇₆	—	4	1	no	—
409	D₇₆	—	4	1	no	—
410	D₇₆	—	4	1	no	—
411	D₇₆	—	4	1	no	—
412	C₄×D₁₉	—	2	2	no	—
413	C₄×D₁₉	—	2	2	no	—
414	C₄×D₁₉	—	2	2	no	—
415	C₄×D₁₉	—	2	2	no	—
416	C₄×D₁₉	—	4	1	no	—
417	C₄×D₁₉	—	4	1	no	—
418	C₄×D₁₉	—	4	1	no	—
419	C₄×D₁₉	—	4	1	no	—
420	C₄×D₁₉	—	4	1	no	—
421	C₄×D₁₉	—	4	1	no	—
422	C₄×D₁₉	—	4	1	no	—
423	C₄×D₁₉	—	4	1	no	—
424	C₄×D₁₉	—	4	1	no	—
425	Dic₃₈	—	2	2	no	—
426	Dic₃₈	—	2	2	no	—
427	Dic₃₈	—	2	2	no	—
428	Dic₃₈	—	4	1	no	—
429	Dic₃₈	—	4	1	no	—
430	Dic₃₈	—	4	1	no	—
431	Dic₃₈	—	4	1	no	—
432	#3541	—	19	1	no	maximal, Sylow
433	C₂²×C₁₉	—	2	1	no	—
434	C₂²×C₁₉	—	2	1	no	—
435	C₂²×C₁₉	—	2	1	no	—
436	C₂²×C₁₉	—	2	1	no	—
437	C₂²×C₁₉	—	2	1	no	—
438	C₂²×C₁₉	2₋¹⁺⁴	1	2	yes	—
439	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
448	C₂×D₁₉	—	2	1	no	—
449	C₂×D₁₉	—	2	1	no	—
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	—	4	4	no	—
456	C₄×C₁₉	—	2	1	no	—
457	C₄×C₁₉	—	2	1	no	—
458	C₄×C₁₉	—	2	1	no	—
459	C₄×C₁₉	—	2	1	no	—
460	C₄×C₁₉	—	2	1	no	—
461	C₄×C₁₉	—	2	1	no	—
462	C₄×C₁₉	—	2	1	no	—
463	C₄×C₁₉	—	2	1	no	—
464	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	Dic₁₉	—	2	1	no	—
470	Dic₁₉	—	2	1	no	—
471	Dic₁₉	—	2	1	no	—
472	Dic₁₉	—	2	1	no	—
473	Dic₁₉	—	2	1	no	—
474	Dic₁₉	—	2	1	no	—
475	Dic₁₉	—	2	1	no	—
476	Dic₁₉	—	2	1	no	—
477	Dic₁₉	—	2	1	no	—
478	Dic₁₉	—	2	1	no	—
479	Dic₁₉	H(5,𝔽₂)	1	2	yes	—
480	#563	—	19	1	no	—
481	#563	—	19	1	no	—
482	#562	—	19	1	no	—
483	#562	—	19	1	no	—
484	#556	—	19	1	no	—
485	#554	—	19	1	no	—
486	#554	—	19	1	no	—
487	#554	D₁₉	1	1	yes	characteristic, complemented
488	#553	—	19	1	no	—
489	#553	—	19	1	no	—
490	#553	—	19	1	no	—
491	#552	—	19	1	no	—
492	D₄×Q₈	—	19	1	no	—
493	#548	—	19	1	no	—
494	#548	—	19	1	no	—
495	#547	—	19	1	no	—
496	#542	—	19	1	no	—
497	#542	—	19	1	no	—
498	#542	—	19	1	no	—
499	#541	—	19	1	no	—
500	#539	—	19	1	no	—
501	#539	—	19	1	no	—
502	#538	—	19	1	no	—
503	#538	—	19	1	no	—
504	#538	—	19	1	no	—
505	#538	—	19	1	no	—
506	#537	—	19	1	no	—
507	#536	—	19	1	no	—
508	#525	—	19	1	no	—
509	#525	—	19	1	no	—
510	C₂×C₂²⋊Q₈	—	19	1	no	—
511	C₂×C₁₉	—	2	2	no	—
512	C₂×C₁₉	—	4	1	no	—
513	C₂×C₁₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
514	C₂×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
515	C₂×C₁₉	#585	1	1	yes	characteristic
516	D₁₉	—	4	1	no	—
517	D₁₉	—	4	1	no	—
518	D₁₉	—	4	1	no	—
519	D₁₉	—	4	1	no	—
520	D₁₉	—	4	1	no	—
521	C₂×#41	—	19	1	no	—
522	C₂×#41	—	19	1	no	—
523	C₂×#41	—	19	1	no	—
524	C₂²×Q₈	—	19	1	no	—
525	C₂²×Q₈	—	19	1	no	—
526	C₂³×C₄	—	19	1	no	—
527	C₄⋊Q₈	—	19	1	no	—
528	C₄⋊Q₈	—	19	1	no	—
529	C₄⋊Q₈	—	19	1	no	—
530	C₄⋊Q₈	—	19	1	no	—
531	C₄⋊Q₈	—	19	1	no	—
532	C₄⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
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	—	19	1	no	—
541	#126	—	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	#125	—	19	1	no	—
548	#125	—	19	1	no	—
549	#125	—	19	1	no	—
550	#125	—	19	1	no	—
551	#125	—	19	1	no	—
552	#125	—	19	1	no	—
553	#125	—	19	1	no	—
554	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
555	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
556	#124	—	19	1	no	—
557	#124	—	19	1	no	—
558	#124	—	19	1	no	—
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	#124	—	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	—	19	1	no	—
581	#123	—	19	1	no	—
582	#123	—	19	1	no	—
583	#123	—	19	1	no	—
584	#123	—	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
611	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
612	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic
613	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
614	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
615	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
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	—	19	1	no	—
622	#121	—	19	1	no	—
623	#121	—	19	1	no	—
624	#121	—	19	1	no	—
625	#121	—	19	1	no	—
626	#121	—	19	1	no	—
627	#121	—	19	1	no	—
628	#121	—	19	1	no	—
629	#121	—	19	1	no	—
630	#121	—	19	1	no	—
631	#121	—	19	1	no	—
632	#121	—	19	1	no	—
633	#121	—	19	1	no	—
634	#121	—	19	1	no	—
635	#120	—	19	1	no	—
636	#120	—	19	1	no	—
637	#120	—	19	1	no	—
638	#120	—	19	1	no	—
639	C₄×Q₈	—	19	1	no	—
640	C₄×Q₈	—	19	1	no	—
641	C₄×Q₈	—	19	1	no	—
642	C₄×Q₈	—	19	1	no	—
643	C₄×Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
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	—	19	1	no	—
657	C₄×D₄	—	19	1	no	—
658	C₄×D₄	—	19	1	no	—
659	C₄×D₄	—	19	1	no	—
660	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
661	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
662	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
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	C₂×D₁₉	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic, complemented
674	C₂×C₂²⋊C₄	—	19	1	no	—
675	C₂×C₂²⋊C₄	—	19	1	no	—
676	C₁₉	#3541	1	1	yes	characteristic, complemented, Sylow
677	C₂⁴	—	19	1	no	—
678	#41	—	76	2	no	—
679	#41	—	76	2	no	—
680	#41	—	76	2	no	—
681	C₂×Q₈	—	19	1	no	—
682	C₂×Q₈	—	19	1	no	—
683	C₂×Q₈	—	19	1	no	—
684	C₂×Q₈	—	19	1	no	—
685	C₂×Q₈	—	19	1	no	—
686	C₂×Q₈	—	19	1	no	—
687	C₂×Q₈	—	19	1	no	—
688	C₂×Q₈	—	76	2	no	—
689	C₂×Q₈	—	76	2	no	—
690	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
691	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
692	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
693	C₂×D₄	—	19	1	no	—
694	C₂×D₄	—	19	1	no	—
695	C₂×D₄	—	19	1	no	—
696	C₂×D₄	—	19	1	no	—
697	C₂×D₄	—	19	1	no	—
698	C₂×D₄	—	19	1	no	—
699	C₂×D₄	—	19	1	no	—
700	C₂×D₄	—	19	1	no	—
701	C₂×D₄	—	19	1	no	—
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	C₂²×D₁₉	1	1	yes	characteristic
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	—	19	1	no	—
716	C₂²×C₄	—	19	1	no	—
717	C₂²×C₄	—	19	1	no	—
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	—	76	2	no	—
728	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
729	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
730	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
731	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
732	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
733	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
734	C₄⋊C₄	—	19	1	no	—
735	C₄⋊C₄	—	19	1	no	—
736	C₄⋊C₄	—	19	1	no	—
737	C₄⋊C₄	—	19	1	no	—
738	C₄⋊C₄	—	19	1	no	—
739	C₄⋊C₄	—	19	1	no	—
740	C₄⋊C₄	—	19	1	no	—
741	C₄⋊C₄	—	19	1	no	—
742	C₄⋊C₄	—	19	1	no	—
743	C₄⋊C₄	—	19	1	no	—
744	C₄⋊C₄	—	19	1	no	—
745	C₄⋊C₄	—	19	1	no	—
746	C₄⋊C₄	—	19	1	no	—
747	C₄⋊C₄	—	19	1	no	—
748	C₄⋊C₄	—	19	1	no	—
749	C₄⋊C₄	—	19	1	no	—
750	C₄⋊C₄	—	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	C₂²×D₁₉	1	1	yes	characteristic
767	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
768	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
769	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
770	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
771	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
772	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
773	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
774	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
775	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
776	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
777	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
778	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
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	C₂²⋊C₄	—	19	1	no	—
783	C₂²⋊C₄	—	19	1	no	—
784	C₂²⋊C₄	—	19	1	no	—
785	C₂²⋊C₄	—	19	1	no	—
786	C₂²⋊C₄	—	19	1	no	—
787	C₂²⋊C₄	—	19	1	no	—
788	C₂²⋊C₄	—	19	1	no	—
789	C₂²⋊C₄	—	19	1	no	—
790	C₂²⋊C₄	—	19	1	no	—
791	C₂²⋊C₄	—	19	1	no	—
792	C₂²⋊C₄	—	19	1	no	—
793	C₂²⋊C₄	—	19	1	no	—
794	C₂²⋊C₄	—	19	1	no	—
795	C₂²⋊C₄	—	19	1	no	—
796	C₂²⋊C₄	—	19	1	no	—
797	C₂²⋊C₄	—	19	1	no	—
798	C₂²⋊C₄	—	19	1	no	—
799	C₂²⋊C₄	—	19	1	no	—
800	C₂²⋊C₄	—	19	1	no	—
801	C₂²⋊C₄	—	19	1	no	—
802	C₂²⋊C₄	—	19	1	no	—
803	C₂²⋊C₄	—	19	1	no	—
804	C₂²⋊C₄	—	19	1	no	—
805	C₂²⋊C₄	—	19	1	no	—
806	C₂²⋊C₄	—	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	C₂²×D₁₉	1	1	yes	characteristic
821	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
822	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
823	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
824	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
825	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
826	C₄²	—	19	1	no	—
827	C₄²	—	19	1	no	—
828	C₄²	—	19	1	no	—
829	C₄²	—	19	1	no	—
830	C₄²	—	19	1	no	—
831	C₄²	—	19	1	no	—
832	C₄²	—	19	1	no	—
833	C₄²	—	19	1	no	—
834	C₄²	—	19	1	no	—
835	C₄²	C₂²×D₁₉	1	1	yes	characteristic
836	C₄²	C₂²×D₁₉	1	1	yes	characteristic
837	C₄²	C₂²×D₁₉	1	1	yes	characteristic
838	C₂³	—	19	1	no	—
839	C₂³	—	19	1	no	—
840	C₂³	—	19	1	no	—
841	C₂³	—	19	1	no	—
842	C₂³	—	19	1	no	—
843	C₂³	—	38	2	no	—
844	C₂³	—	76	1	no	—
845	C₂³	—	76	1	no	—
846	C₂³	C₂³×D₁₉	1	1	yes	characteristic
847	C₂³	C₂³×D₁₉	1	1	yes	characteristic
848	Q₈	—	4	1	no	—
849	Q₈	—	4	1	no	—
850	Q₈	—	4	1	no	—
851	Q₈	—	38	2	no	—
852	Q₈	—	38	2	no	—
853	Q₈	—	38	2	no	—
854	Q₈	—	76	1	no	—
855	Q₈	—	76	1	no	—
856	Q₈	—	76	1	no	—
857	Q₈	—	76	1	no	—
858	D₄	—	2	2	no	—
859	D₄	—	38	2	no	—
860	D₄	—	38	2	no	—
861	D₄	—	38	2	no	—
862	D₄	—	38	2	no	—
863	D₄	—	76	1	no	—
864	D₄	—	76	1	no	—
865	D₄	—	76	1	no	—
866	D₄	—	76	1	no	—
867	D₄	—	76	1	no	—
868	D₄	—	76	1	no	—
869	D₄	—	76	1	no	—
870	D₄	—	76	1	no	—
871	D₄	—	76	1	no	—
872	D₄	—	76	1	no	—
873	D₄	—	76	1	no	—
874	D₄	—	76	1	no	—
875	D₄	—	76	1	no	—
876	C₂×C₄	—	4	1	no	—
877	C₂×C₄	—	4	1	no	—
878	C₂×C₄	—	4	1	no	—
879	C₂×C₄	—	4	1	no	—
880	C₂×C₄	—	4	1	no	—
881	C₂×C₄	—	4	1	no	—
882	C₂×C₄	—	19	1	no	—
883	C₂×C₄	—	19	1	no	—
884	C₂×C₄	—	19	1	no	—
885	C₂×C₄	—	19	1	no	—
886	C₂×C₄	—	19	1	no	—
887	C₂×C₄	—	19	1	no	—
888	C₂×C₄	—	19	1	no	—
889	C₂×C₄	—	19	1	no	—
890	C₂×C₄	—	19	1	no	—
891	C₂×C₄	—	19	1	no	—
892	C₂×C₄	—	19	1	no	—
893	C₂×C₄	—	38	2	no	—
894	C₂×C₄	—	38	2	no	—
895	C₂×C₄	—	38	2	no	—
896	C₂×C₄	—	38	2	no	—
897	C₂×C₄	—	38	2	no	—
898	C₂×C₄	—	76	1	no	—
899	C₂×C₄	—	76	1	no	—
900	C₂×C₄	—	76	1	no	—
901	C₂×C₄	—	76	1	no	—
902	C₂×C₄	—	76	1	no	—
903	C₂×C₄	—	76	1	no	—
904	C₂×C₄	—	76	1	no	—
905	C₂×C₄	—	76	1	no	—
906	C₂×C₄	—	76	1	no	—
907	C₂×C₄	—	76	1	no	—
908	C₂×C₄	—	76	1	no	—
909	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
910	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
911	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
912	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
913	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
914	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
915	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
916	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
917	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
918	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
919	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
920	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
921	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
922	C₂²	—	2	1	no	—
923	C₂²	—	2	1	no	—
924	C₂²	—	2	1	no	—
925	C₂²	—	2	1	no	—
926	C₂²	—	2	1	no	—
927	C₂²	—	38	1	no	—
928	C₂²	—	38	1	no	—
929	C₂²	—	38	1	no	—
930	C₂²	—	38	1	no	—
931	C₂²	—	38	1	no	—
932	C₂²	—	38	1	no	—
933	C₂²	—	38	1	no	—
934	C₂²	—	38	1	no	—
935	C₂²	—	38	1	no	—
936	C₂²	—	38	1	no	—
937	C₂²	—	38	1	no	—
938	C₂²	—	38	1	no	—
939	C₂²	—	38	1	no	—
940	C₂²	—	38	1	no	—
941	C₂²	—	38	1	no	—
942	C₂²	—	76	4	no	—
943	C₂²	#10597433	1	2	yes	—
944	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
945	C₄	—	2	1	no	—
946	C₄	—	2	1	no	—
947	C₄	—	2	1	no	—
948	C₄	—	2	1	no	—
949	C₄	—	2	1	no	—
950	C₄	—	2	1	no	—
951	C₄	—	2	1	no	—
952	C₄	—	2	1	no	—
953	C₄	—	2	1	no	—
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	2	1	no	—
957	C₄	—	2	1	no	—
958	C₄	—	19	2	no	—
959	C₄	—	38	1	no	—
960	C₄	—	38	1	no	—
961	C₄	—	38	1	no	—
962	C₄	—	38	1	no	—
963	C₄	—	38	1	no	—
964	C₄	—	38	1	no	—
965	C₄	—	38	1	no	—
966	C₄	—	38	1	no	—
967	C₄	—	38	1	no	—
968	C₄	—	38	1	no	—
969	C₂	—	2	2	no	—
970	C₂	—	4	1	no	—
971	C₂	—	76	1	no	—
972	C₂	—	76	1	no	—
973	C₂	—	76	1	no	—
974	C₂	—	76	1	no	—
975	C₂	—	76	1	no	—
976	C₂	H(5,𝔽₂)×D₁₉	1	1	yes	characteristic
977	C₂	C₂×#10597433	1	1	yes	characteristic
978	C₂	#11927380	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#554	C₂
hypercenter	#554	D₁₉
hypocenter	C₁₉	#3541
LCS	G ▷ C₂²×C₁₉ ▷ C₁₉
UCS	C₁ ◁ C₂² ◁ #554

Complements

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

N	H ≅ G/N	type
1. #11927295	C₂	semidirect
2. #11927293	C₂	semidirect
3. #11927292	C₂	semidirect
4. #11927290	C₂	semidirect
5. #11927266	C₂	semidirect
6. #11927248	C₂	semidirect
7. #11927248	C₂	semidirect
8. #11927243	C₂	semidirect
9. #11927243	C₂	semidirect
10. #11927242	C₂	semidirect
11. #11927226	C₂	semidirect
12. #11927207	C₂	semidirect
13. #11927204	C₂	semidirect
14. #11927203	C₂	semidirect
15. #11927195	C₂	semidirect
16. #11927166	C₂	semidirect
17. #11927164	C₂	semidirect
18. #11927164	C₂	semidirect
19. #11927153	C₂	semidirect
20. #11927142	C₂	semidirect
21. #11927141	C₂	semidirect
22. #11927134	C₂	semidirect
23. #11927134	C₂	semidirect
24. #11927127	C₂	semidirect
25. #11927127	C₂	semidirect
26. #11927124	C₂	semidirect
27. #11927119	C₂	semidirect
28. #11927057	C₂	semidirect
29. #11927053	C₂	semidirect
30. C₂×#10597342	C₂	semidirect
31. C₁₉×#554	C₂	semidirect
33. C₂×Q₈×D₁₉	C₂²	semidirect
35. C₂×#64541	C₂²	semidirect
38. C₁₉×C₄⋊Q₈	C₂²	semidirect
39. C₁₉×#125	C₂²	semidirect
40. C₁₉×#125	C₂²	semidirect
44. C₁₉×C₂²⋊Q₈	C₂²	semidirect
45. C₁₉×C₂²⋊Q₈	C₂²	semidirect
46. C₁₉×C₂²⋊Q₈	C₂²	semidirect
47. C₄×Q₈×C₁₉	C₂²	semidirect
52. C₂×C₄⋊C₄×C₁₉	C₂²	semidirect
58. #10597392	C₂²	semidirect
59. #10597392	C₂²	semidirect
60. #10597390	C₂²	semidirect
61. #10597390	C₂²	semidirect
62. #10597390	C₂²	semidirect
74. #10597375	C₂²	semidirect
75. #10597375	C₂²	semidirect
80. C₄×C₂²⋊D₁₉	C₂²	semidirect
81. C₄×C₂²⋊D₁₉	C₂²	semidirect
84. #10597370	C₂²	semidirect
93. #10597344	C₂²	semidirect
94. #10597344	C₂²	semidirect
95. #10597343	C₂²	semidirect
105. #10597342	C₂²	semidirect
106. #10597342	C₂²	semidirect
107. #10597342	C₂²	semidirect
108. #10597342	C₂²	semidirect
109. #10597342	C₂²	semidirect
110. #10597342	C₂²	semidirect
111. #10597342	C₂²	semidirect
112. #10597342	C₂²	semidirect
118. #10597341	C₂²	semidirect
128. #10597340	C₂²	semidirect
129. #10597340	C₂²	semidirect
130. #10597340	C₂²	semidirect
131. #10597340	C₂²	semidirect
134. #10597339	C₂²	semidirect
136. #10597338	C₂²	semidirect
137. C₄⋊C₄×D₁₉	C₂²	semidirect
138. C₄⋊C₄×D₁₉	C₂²	semidirect
139. #10597336	C₂²	semidirect
140. #10597335	C₂²	semidirect
141. #10597335	C₂²	semidirect
142. #10597335	C₂²	semidirect
143. #10597335	C₂²	semidirect
144. #10597335	C₂²	semidirect
145. #10597335	C₂²	semidirect
146. #10597334	C₂²	semidirect
147. #10597334	C₂²	semidirect
148. #10597333	C₂²	semidirect
149. #10597333	C₂²	semidirect
150. #10597333	C₂²	semidirect
153. #10597331	C₂²	semidirect
154. #10597331	C₂²	semidirect
158. #10597330	C₂²	semidirect
159. #10597330	C₂²	semidirect
170. #10597325	C₂²	semidirect
171. #10597325	C₂²	semidirect
177. #10597322	C₂²	semidirect
178. #10597322	C₂²	semidirect
181. #10597321	C₂²	semidirect
184. #10597318	C₂²	semidirect
185. #10597318	C₂²	semidirect
186. C₄×Dic₃₈	C₂²	semidirect
487. #554	D₁₉	semidirect
532. C₄⋊Q₈	C₂×D₁₉	semidirect
554. #125	C₂×D₁₉	semidirect
555. #125	C₂×D₁₉	semidirect
613. C₂²⋊Q₈	C₂×D₁₉	semidirect
614. C₂²⋊Q₈	C₂×D₁₉	semidirect
615. C₂²⋊Q₈	C₂×D₁₉	semidirect
643. C₄×Q₈	C₂×D₁₉	semidirect
673. C₂×C₄⋊C₄	C₂×D₁₉	semidirect
676. C₁₉	#3541	semidirect

Maximal subgroups

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

subgroup	index
#11927295	2
#11927293	2
#11927292	2
#11927290	2
#11927266	2
#11927248	2
#11927243	2
#11927242	2
#11927226	2
#11927207	2
#11927204	2
#11927203	2
#11927195	2
#11927166	2
#11927164	2
#11927153	2
#11927142	2
#11927141	2
#11927134	2
#11927127	2
#11927124	2
#11927119	2
#11927057	2
#11927053	2
C₂×#10597342	2
C₁₉×#554	2
#3541	19