Subgroups — #14578255

Order 2432.

936 conjugacy classes of subgroups.

The subgroup lattice has 920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11927298	C₂	1	1	yes	maximal, characteristic, complemented
2	#11927298	C₂	1	1	yes	maximal, characteristic, complemented
3	#11927296	C₂	1	1	yes	maximal, characteristic, complemented
4	#11927295	C₂	1	1	yes	maximal, characteristic, complemented
5	#11927267	C₂	1	1	yes	maximal, characteristic, complemented
6	#11927261	C₂	1	1	yes	maximal, characteristic, complemented
7	#11927253	C₂	1	1	yes	maximal, characteristic, complemented
8	#11927248	C₂	1	1	yes	maximal, characteristic, complemented
9	#11927232	C₂	1	1	yes	maximal, characteristic, complemented
10	#11927229	C₂	1	1	yes	maximal, characteristic, complemented
11	#11927227	C₂	1	1	yes	maximal, characteristic, complemented
12	#11927218	C₂	1	1	yes	maximal, characteristic, complemented
13	#11927218	C₂	1	1	yes	maximal, characteristic, complemented
14	#11927217	C₂	1	1	yes	maximal, characteristic, complemented
15	#11927217	C₂	1	1	yes	maximal, characteristic, complemented
16	#11927172	C₂	1	1	yes	maximal, characteristic, complemented
17	#11927169	C₂	1	1	yes	maximal, characteristic, complemented
18	#11927165	C₂	1	1	yes	maximal, characteristic, complemented
19	#11927160	C₂	1	1	yes	maximal, characteristic, complemented
20	#11927157	C₂	1	1	yes	maximal, characteristic, complemented
21	#11927153	C₂	1	1	yes	maximal, characteristic, complemented
22	#11927153	C₂	1	1	yes	maximal, characteristic, complemented
23	#11927152	C₂	1	1	yes	maximal, characteristic, complemented
24	#11927143	C₂	1	1	yes	maximal, characteristic, complemented
25	#11927138	C₂	1	1	yes	maximal, characteristic, complemented
26	#11927135	C₂	1	1	yes	maximal, characteristic, complemented
27	#11927127	C₂	1	1	yes	maximal, characteristic
28	#11927097	C₂	1	1	yes	maximal, characteristic, complemented
29	#11927071	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#10597344	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₉×#552	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₉×#126	C₂²	1	1	yes	characteristic, complemented
33	C₁₉×#126	C₂²	1	1	yes	characteristic, complemented
34	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
35	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
36	C₁₉×#125	C₂²	1	1	yes	characteristic, complemented
37	C₁₉×#123	C₂²	1	1	yes	characteristic
38	C₁₉×#123	C₂²	1	1	yes	characteristic
39	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₁₉×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₄×Q₈×C₁₉	C₂²	1	1	yes	characteristic, complemented
42	C₄×D₄×C₁₉	C₂²	1	1	yes	characteristic
43	C₁₉×#117	C₂²	1	1	yes	characteristic
44	C₁₉×#117	C₂²	1	1	yes	characteristic
45	C₁₉×#117	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄⋊C₄×C₁₉	C₂²	1	1	yes	characteristic
47	#10597392	C₂²	1	1	yes	characteristic
48	#10597392	C₂²	1	1	yes	characteristic
49	#10597392	C₂²	1	1	yes	characteristic, complemented
50	#10597390	C₂²	1	1	yes	characteristic, complemented
51	#10597385	C₂²	1	1	yes	characteristic
52	#10597383	C₂²	1	1	yes	characteristic
53	D₄×Dic₁₉	C₂²	1	1	yes	characteristic
54	D₄×Dic₁₉	C₂²	1	1	yes	characteristic
55	#10597376	C₂²	1	1	yes	characteristic
56	#10597375	C₂²	1	1	yes	characteristic
57	#10597375	C₂²	1	1	yes	characteristic
58	#10597375	C₂²	1	1	yes	characteristic
59	C₄×C₂²⋊D₁₉	C₂²	1	1	yes	characteristic
60	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
61	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
62	C₂×(C₂×D₁₉)⋊C₄	C₂²	1	1	yes	characteristic
63	#10597372	C₂²	1	1	yes	characteristic
64	#10597372	C₂²	1	1	yes	characteristic
65	C₂×C₄⋊Dic₁₉	C₂²	1	1	yes	characteristic
66	#10597370	C₂²	1	1	yes	characteristic
67	#10597370	C₂²	1	1	yes	characteristic, complemented
68	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic
69	C₂×Dic₁₉⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₄×Dic₁₉	C₂²	1	1	yes	characteristic
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
79	#10597344	C₂²	1	1	yes	characteristic
80	#10597344	C₂²	1	1	yes	characteristic
81	#10597344	C₂²	1	1	yes	characteristic
82	#10597344	C₂²	1	1	yes	characteristic
83	#10597344	C₂²	1	1	yes	characteristic
84	#10597344	C₂²	1	1	yes	characteristic
85	#10597344	C₂²	1	1	yes	characteristic
86	#10597344	C₂²	1	1	yes	characteristic, complemented
87	#10597344	C₂²	1	1	yes	characteristic, complemented
88	#10597344	C₂²	1	1	yes	characteristic, complemented
89	#10597344	C₂²	1	1	yes	characteristic, complemented
90	#10597343	C₂²	1	1	yes	characteristic
91	#10597343	C₂²	1	1	yes	characteristic
92	#10597343	C₂²	1	1	yes	characteristic
93	#10597343	C₂²	1	1	yes	characteristic
94	#10597343	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, complemented
103	#10597342	C₂²	1	1	yes	characteristic, complemented
104	#10597340	C₂²	1	1	yes	characteristic
105	#10597340	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	#10597338	C₂²	1	1	yes	characteristic
110	#10597338	C₂²	1	1	yes	characteristic
111	#10597338	C₂²	1	1	yes	characteristic, complemented
112	#10597338	C₂²	1	1	yes	characteristic, complemented
113	C₄⋊C₄×D₁₉	C₂²	1	1	yes	characteristic, complemented
114	#10597336	C₂²	1	1	yes	characteristic, complemented
115	#10597336	C₂²	1	1	yes	characteristic, complemented
116	#10597336	C₂²	1	1	yes	characteristic, complemented
117	#10597336	C₂²	1	1	yes	characteristic, complemented
118	#10597336	C₂²	1	1	yes	characteristic, complemented
119	#10597336	C₂²	1	1	yes	characteristic, complemented
120	#10597336	C₂²	1	1	yes	characteristic, complemented
121	#10597335	C₂²	1	1	yes	characteristic, complemented
122	#10597335	C₂²	1	1	yes	characteristic, complemented
123	#10597335	C₂²	1	1	yes	characteristic, complemented
124	#10597335	C₂²	1	1	yes	characteristic, complemented
125	#10597335	C₂²	1	1	yes	characteristic, complemented
126	#10597335	C₂²	1	1	yes	characteristic, complemented
127	#10597334	C₂²	1	1	yes	characteristic, complemented
128	#10597334	C₂²	1	1	yes	characteristic, complemented
129	#10597334	C₂²	1	1	yes	characteristic, complemented
130	#10597334	C₂²	1	1	yes	characteristic, complemented
131	#10597334	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
136	#10597332	C₂²	1	1	yes	characteristic
137	#10597332	C₂²	1	1	yes	characteristic, complemented
138	#10597331	C₂²	1	1	yes	characteristic
139	#10597331	C₂²	1	1	yes	characteristic
140	#10597331	C₂²	1	1	yes	characteristic
141	#10597331	C₂²	1	1	yes	characteristic, complemented
142	#10597330	C₂²	1	1	yes	characteristic
143	#10597329	C₂²	1	1	yes	characteristic
144	#10597329	C₂²	1	1	yes	characteristic
145	#10597329	C₂²	1	1	yes	characteristic, complemented
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⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×D₁₉	C₂²	1	1	yes	characteristic
154	#10597325	C₂²	1	1	yes	characteristic, complemented
155	#10597325	C₂²	1	1	yes	characteristic, complemented
156	#10597324	C₂²	1	1	yes	characteristic
157	#10597324	C₂²	1	1	yes	characteristic
158	#10597324	C₂²	1	1	yes	characteristic
159	#10597324	C₂²	1	1	yes	characteristic
160	#10597324	C₂²	1	1	yes	characteristic
161	#10597324	C₂²	1	1	yes	characteristic
162	#10597324	C₂²	1	1	yes	characteristic
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
170	#10597321	C₂²	1	1	yes	characteristic
171	#10597321	C₂²	1	1	yes	characteristic
172	#10597321	C₂²	1	1	yes	characteristic
173	C₄×D₇₆	C₂²	1	1	yes	characteristic
174	C₄×D₇₆	C₂²	1	1	yes	characteristic
175	#10597318	C₂²	1	1	yes	characteristic
176	#10597318	C₂²	1	1	yes	characteristic
177	#10597316	C₂²	1	1	yes	characteristic, complemented
178	#10597316	C₂²	1	1	yes	characteristic, complemented
179	#10597316	C₂²	1	1	yes	characteristic, complemented
180	#10597315	C₂²	1	1	yes	characteristic, complemented
181	#10597315	C₂²	1	1	yes	characteristic, complemented
182	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
183	C₄×Dic₃₈	C₂²	1	1	yes	characteristic, complemented
184	C₄×Dic₃₈	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	C₂×Q₈×C₁₉	C₂³	1	1	yes	characteristic
189	C₂×D₄×C₁₉	C₂³	1	1	yes	characteristic
190	C₂²×C₄×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	C₂×C₂²⋊D₁₉	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	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
199	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
200	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
201	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₉	C₂³	1	1	yes	characteristic
203	C₂×D₇₆	C₂³	1	1	yes	characteristic
204	C₂×D₇₆	C₂³	1	1	yes	characteristic
205	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
206	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
207	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
208	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
209	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
210	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
211	C₂×C₄×D₁₉	C₂³	1	1	yes	characteristic
212	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
213	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
214	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
215	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
216	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
217	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
218	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
219	C₂×Dic₃₈	C₂³	1	1	yes	characteristic
220	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
221	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
222	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
223	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
224	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
225	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
226	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
227	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
228	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
229	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
230	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
231	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
232	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
233	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
234	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
235	C₄⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
236	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
237	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
238	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
239	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
240	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
241	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
242	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
243	C₂²⋊C₄×C₁₉	C₂³	1	1	yes	characteristic
244	C₄²×C₁₉	C₂³	1	1	yes	characteristic
245	C₄²×C₁₉	C₂³	1	1	yes	characteristic
246	C₄²×C₁₉	C₂³	1	1	yes	characteristic
247	C₄²×C₁₉	C₂³	1	1	yes	characteristic
248	C₄²×C₁₉	C₂³	1	1	yes	characteristic
249	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
250	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
251	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
252	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
253	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
254	C₂²⋊Dic₁₉	C₂³	1	1	yes	characteristic
255	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
256	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
257	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
258	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
259	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
260	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
261	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
262	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
263	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
264	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
265	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
266	(C₂×D₁₉)⋊C₄	C₂³	1	1	yes	characteristic
267	(C₂×D₁₉)⋊C₄	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	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
284	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
285	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
286	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
287	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
288	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
289	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
290	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
291	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
292	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
294	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
295	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
297	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
299	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
300	C₄⋊Dic₁₉	C₂³	1	1	yes	characteristic
301	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
302	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
303	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
304	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
305	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
306	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
307	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
308	Dic₁₉⋊C₄	C₂³	1	1	yes	characteristic
309	Dic₁₉⋊C₄	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	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
330	C₄×Dic₁₉	C₂³	1	1	yes	characteristic
331	C₄×Dic₁₉	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	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
343	C₂³×C₁₉	C₂⁴	1	1	yes	characteristic
344	C₂²×D₁₉	—	2	2	no	—
345	C₂²×D₁₉	—	4	1	no	—
346	C₂²×D₁₉	—	4	1	no	—
347	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
348	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
349	C₂²×D₁₉	C₂⁴	1	1	yes	characteristic
350	Q₈×C₁₉	—	4	1	no	—
351	D₄×C₁₉	—	2	2	no	—
352	C₂×C₄×C₁₉	—	2	2	no	—
353	C₂×C₄×C₁₉	—	2	2	no	—
354	C₂×C₄×C₁₉	—	4	1	no	—
355	C₂×C₄×C₁₉	—	4	1	no	—
356	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
357	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
358	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
359	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
360	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
361	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
362	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
363	C₂×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
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	C₂²⋊D₁₉	—	2	2	no	—
370	C₂²⋊D₁₉	—	4	1	no	—
371	C₂²⋊D₁₉	—	4	1	no	—
372	C₂²⋊D₁₉	—	4	1	no	—
373	C₂×Dic₁₉	—	4	1	no	—
374	C₂×Dic₁₉	—	4	1	no	—
375	C₂×Dic₁₉	—	4	1	no	—
376	C₂×Dic₁₉	—	4	1	no	—
377	C₂×Dic₁₉	—	4	1	no	—
378	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
379	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
380	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
381	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
382	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
386	C₂×Dic₁₉	C₂⁴	1	1	yes	characteristic
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	D₇₆	—	4	1	no	—
392	D₇₆	—	4	1	no	—
393	C₄×D₁₉	—	4	1	no	—
394	C₄×D₁₉	—	4	1	no	—
395	C₄×D₁₉	—	4	1	no	—
396	C₄×D₁₉	—	4	1	no	—
397	C₄×D₁₉	—	4	1	no	—
398	C₄×D₁₉	—	4	1	no	—
399	C₄×D₁₉	—	4	1	no	—
400	Dic₃₈	—	4	1	no	—
401	Dic₃₈	—	4	1	no	—
402	Dic₃₈	—	4	1	no	—
403	Dic₃₈	—	4	1	no	—
404	Dic₃₈	—	4	1	no	—
405	Dic₃₈	—	4	1	no	—
406	Dic₃₈	—	4	1	no	—
407	Dic₃₈	—	4	1	no	—
408	#3564	—	19	1	no	maximal, Sylow
409	C₂²×C₁₉	—	2	1	no	—
410	C₂²×C₁₉	—	2	1	no	—
411	C₂²×C₁₉	—	2	1	no	—
412	C₂²×C₁₉	—	2	1	no	—
413	C₂²×C₁₉	—	2	1	no	—
414	C₂²×C₁₉	2₋¹⁺⁴	1	2	yes	—
415	C₂²×C₁₉	C₂⁵	1	1	yes	characteristic
416	C₂×D₁₉	—	2	1	no	—
417	C₂×D₁₉	—	2	1	no	—
418	C₂×D₁₉	—	2	1	no	—
419	C₂×D₁₉	—	2	1	no	—
420	C₂×D₁₉	—	2	1	no	—
421	C₂×D₁₉	—	2	1	no	—
422	C₂×D₁₉	—	2	1	no	—
423	C₂×D₁₉	—	2	1	no	—
424	C₂×D₁₉	—	2	1	no	—
425	C₂×D₁₉	—	8	2	no	—
426	C₄×C₁₉	—	2	1	no	—
427	C₄×C₁₉	—	2	1	no	—
428	C₄×C₁₉	—	2	1	no	—
429	C₄×C₁₉	—	2	1	no	—
430	C₄×C₁₉	—	2	1	no	—
431	C₄×C₁₉	—	2	1	no	—
432	C₄×C₁₉	—	2	1	no	—
433	C₄×C₁₉	—	2	1	no	—
434	C₄×C₁₉	—	2	1	no	—
435	C₄×C₁₉	—	2	1	no	—
436	C₄×C₁₉	—	2	1	no	—
437	C₄×C₁₉	—	2	1	no	—
438	C₄×C₁₉	—	2	1	no	—
439	Dic₁₉	—	2	1	no	—
440	Dic₁₉	—	2	1	no	—
441	Dic₁₉	—	2	1	no	—
442	Dic₁₉	—	2	1	no	—
443	Dic₁₉	—	2	1	no	—
444	Dic₁₉	—	2	1	no	—
445	Dic₁₉	—	2	1	no	—
446	Dic₁₉	—	2	1	no	—
447	Dic₁₉	—	2	1	no	—
448	Dic₁₉	—	2	1	no	—
449	Dic₁₉	—	2	1	no	—
450	Dic₁₉	—	2	1	no	—
451	Dic₁₉	—	2	1	no	—
452	#563	—	19	1	no	—
453	#563	—	19	1	no	—
454	#563	—	19	1	no	—
455	#563	—	19	1	no	—
456	#556	—	19	1	no	—
457	#556	—	19	1	no	—
458	#554	—	19	1	no	—
459	#554	—	19	1	no	—
460	#552	—	19	1	no	—
461	#552	—	19	1	no	—
462	#552	—	19	1	no	—
463	#552	D₁₉	1	1	yes	characteristic, complemented
464	#551	—	19	1	no	—
465	#551	—	19	1	no	—
466	#551	—	19	1	no	—
467	#551	—	19	1	no	—
468	#544	—	19	1	no	—
469	#543	—	19	1	no	—
470	#542	—	19	1	no	—
471	#542	—	19	1	no	—
472	#541	—	19	1	no	—
473	#541	—	19	1	no	—
474	#541	—	19	1	no	—
475	#541	—	19	1	no	—
476	#539	—	19	1	no	—
477	#539	—	19	1	no	—
478	#539	—	19	1	no	—
479	#538	—	19	1	no	—
480	#533	—	19	1	no	—
481	#529	—	19	1	no	—
482	C₂×#126	—	19	1	no	—
483	C₂×C₁₉	—	2	2	no	—
484	C₂×C₁₉	—	4	1	no	—
485	C₂×C₁₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
486	C₂×C₁₉	#585	1	1	yes	characteristic
487	C₂×C₁₉	#585	1	1	yes	characteristic
488	D₁₉	—	4	1	no	—
489	D₁₉	—	4	1	no	—
490	D₁₉	—	4	1	no	—
491	C₄⋊Q₈	—	19	1	no	—
492	C₄⋊Q₈	—	19	1	no	—
493	C₄⋊Q₈	—	19	1	no	—
494	C₄⋊Q₈	—	19	1	no	—
495	C₄⋊Q₈	—	19	1	no	—
496	C₄⋊Q₈	—	19	1	no	—
497	C₄⋊Q₈	—	19	1	no	—
498	C₄⋊Q₈	—	19	1	no	—
499	#126	—	19	1	no	—
500	#126	—	19	1	no	—
501	#126	—	19	1	no	—
502	#126	—	19	1	no	—
503	#126	—	19	1	no	—
504	#126	—	19	1	no	—
505	#126	—	19	1	no	—
506	#126	—	19	1	no	—
507	#126	—	19	1	no	—
508	#126	—	19	1	no	—
509	#126	—	19	1	no	—
510	#126	—	19	1	no	—
511	#126	—	19	1	no	—
512	#126	—	19	1	no	—
513	#126	—	19	1	no	—
514	#126	—	19	1	no	—
515	#126	—	19	1	no	—
516	#126	—	19	1	no	—
517	#126	—	19	1	no	—
518	#126	—	19	1	no	—
519	#126	—	19	1	no	—
520	#126	—	19	1	no	—
521	#126	—	19	1	no	—
522	#126	—	19	1	no	—
523	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
524	#126	C₂×D₁₉	1	1	yes	characteristic, complemented
525	#125	—	19	1	no	—
526	#125	—	19	1	no	—
527	#125	—	19	1	no	—
528	#125	—	19	1	no	—
529	#125	—	19	1	no	—
530	#125	—	19	1	no	—
531	#125	—	19	1	no	—
532	#125	—	19	1	no	—
533	#125	—	19	1	no	—
534	#125	—	19	1	no	—
535	#125	—	19	1	no	—
536	#125	—	19	1	no	—
537	#125	—	19	1	no	—
538	#125	—	19	1	no	—
539	#125	—	19	1	no	—
540	#125	—	19	1	no	—
541	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
542	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
543	#125	C₂×D₁₉	1	1	yes	characteristic, complemented
544	#124	—	19	1	no	—
545	#124	—	19	1	no	—
546	#124	—	19	1	no	—
547	#124	—	19	1	no	—
548	#124	—	19	1	no	—
549	#124	—	19	1	no	—
550	#124	—	19	1	no	—
551	#123	—	19	1	no	—
552	#123	—	19	1	no	—
553	#123	—	19	1	no	—
554	#123	—	19	1	no	—
555	#123	—	19	1	no	—
556	#123	—	19	1	no	—
557	#123	—	19	1	no	—
558	#123	—	19	1	no	—
559	#123	—	19	1	no	—
560	#123	—	19	1	no	—
561	#123	—	19	1	no	—
562	#123	—	19	1	no	—
563	#123	—	19	1	no	—
564	#123	—	19	1	no	—
565	#123	C₂×D₁₉	1	1	yes	characteristic
566	#123	C₂×D₁₉	1	1	yes	characteristic
567	C₂²⋊Q₈	—	19	1	no	—
568	C₂²⋊Q₈	—	19	1	no	—
569	C₂²⋊Q₈	—	19	1	no	—
570	C₂²⋊Q₈	—	19	1	no	—
571	C₂²⋊Q₈	—	19	1	no	—
572	C₂²⋊Q₈	—	19	1	no	—
573	C₂²⋊Q₈	—	19	1	no	—
574	C₂²⋊Q₈	—	19	1	no	—
575	C₂²⋊Q₈	—	19	1	no	—
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	—	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	C₂×D₁₉	1	1	yes	characteristic
597	C₂²⋊Q₈	C₂×D₁₉	1	1	yes	characteristic, complemented
598	#121	—	19	1	no	—
599	#121	—	19	1	no	—
600	#121	—	19	1	no	—
601	#120	—	19	1	no	—
602	#120	—	19	1	no	—
603	C₄×Q₈	—	19	1	no	—
604	C₄×Q₈	—	19	1	no	—
605	C₄×Q₈	—	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	C₂×D₁₉	1	1	yes	characteristic, complemented
612	C₄×D₄	—	19	1	no	—
613	C₄×D₄	—	19	1	no	—
614	C₄×D₄	—	19	1	no	—
615	C₄×D₄	—	19	1	no	—
616	C₄×D₄	—	19	1	no	—
617	C₄×D₄	—	19	1	no	—
618	C₄×D₄	—	19	1	no	—
619	C₄×D₄	—	19	1	no	—
620	C₄×D₄	—	19	1	no	—
621	C₄×D₄	—	19	1	no	—
622	C₄×D₄	C₂×D₁₉	1	1	yes	characteristic
623	#117	—	19	1	no	—
624	#117	—	19	1	no	—
625	#117	—	19	1	no	—
626	#117	—	19	1	no	—
627	#117	—	19	1	no	—
628	#117	—	19	1	no	—
629	#117	—	19	1	no	—
630	#117	—	19	1	no	—
631	#117	—	19	1	no	—
632	#117	C₂×D₁₉	1	1	yes	characteristic
633	#117	C₂×D₁₉	1	1	yes	characteristic
634	#117	C₂×D₁₉	1	1	yes	characteristic, complemented
635	C₂×C₄⋊C₄	—	19	1	no	—
636	C₂×C₄⋊C₄	—	19	1	no	—
637	C₂×C₄⋊C₄	—	19	1	no	—
638	C₂×C₄⋊C₄	—	19	1	no	—
639	C₂×C₄⋊C₄	C₂×D₁₉	1	1	yes	characteristic
640	C₂×C₂²⋊C₄	—	19	1	no	—
641	C₂×C₂²⋊C₄	—	19	1	no	—
642	C₂×C₂²⋊C₄	—	19	1	no	—
643	C₂×C₂²⋊C₄	—	19	1	no	—
644	C₂×C₂²⋊C₄	—	19	1	no	—
645	C₂×C₄²	—	19	1	no	—
646	C₁₉	#3564	1	1	yes	characteristic, complemented, Sylow
647	C₂⁴	—	19	1	no	—
648	C₂×Q₈	—	19	1	no	—
649	C₂×Q₈	—	19	1	no	—
650	C₂×Q₈	—	19	1	no	—
651	C₂×Q₈	—	19	1	no	—
652	C₂×Q₈	—	19	1	no	—
653	C₂×Q₈	—	19	1	no	—
654	C₂×Q₈	—	19	1	no	—
655	C₂×Q₈	—	19	1	no	—
656	C₂×Q₈	C₂²×D₁₉	1	1	yes	characteristic
657	C₂×D₄	—	19	1	no	—
658	C₂×D₄	—	19	1	no	—
659	C₂×D₄	—	19	1	no	—
660	C₂×D₄	—	19	1	no	—
661	C₂×D₄	—	19	1	no	—
662	C₂×D₄	—	19	1	no	—
663	C₂×D₄	C₂²×D₁₉	1	1	yes	characteristic
664	C₂²×C₄	—	19	1	no	—
665	C₂²×C₄	—	19	1	no	—
666	C₂²×C₄	—	19	1	no	—
667	C₂²×C₄	—	19	1	no	—
668	C₂²×C₄	—	19	1	no	—
669	C₂²×C₄	—	19	1	no	—
670	C₂²×C₄	—	19	1	no	—
671	C₂²×C₄	—	19	1	no	—
672	C₂²×C₄	—	19	1	no	—
673	C₂²×C₄	—	19	1	no	—
674	C₂²×C₄	—	19	1	no	—
675	C₂²×C₄	—	19	1	no	—
676	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
677	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
678	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
679	C₂²×C₄	C₂²×D₁₉	1	1	yes	characteristic
680	C₄⋊C₄	—	19	1	no	—
681	C₄⋊C₄	—	19	1	no	—
682	C₄⋊C₄	—	19	1	no	—
683	C₄⋊C₄	—	19	1	no	—
684	C₄⋊C₄	—	19	1	no	—
685	C₄⋊C₄	—	19	1	no	—
686	C₄⋊C₄	—	19	1	no	—
687	C₄⋊C₄	—	19	1	no	—
688	C₄⋊C₄	—	19	1	no	—
689	C₄⋊C₄	—	19	1	no	—
690	C₄⋊C₄	—	19	1	no	—
691	C₄⋊C₄	—	19	1	no	—
692	C₄⋊C₄	—	19	1	no	—
693	C₄⋊C₄	—	19	1	no	—
694	C₄⋊C₄	—	19	1	no	—
695	C₄⋊C₄	—	19	1	no	—
696	C₄⋊C₄	—	19	1	no	—
697	C₄⋊C₄	—	19	1	no	—
698	C₄⋊C₄	—	19	1	no	—
699	C₄⋊C₄	—	19	1	no	—
700	C₄⋊C₄	—	19	1	no	—
701	C₄⋊C₄	—	19	1	no	—
702	C₄⋊C₄	—	19	1	no	—
703	C₄⋊C₄	—	19	1	no	—
704	C₄⋊C₄	—	19	1	no	—
705	C₄⋊C₄	—	19	1	no	—
706	C₄⋊C₄	—	19	1	no	—
707	C₄⋊C₄	—	19	1	no	—
708	C₄⋊C₄	—	19	1	no	—
709	C₄⋊C₄	—	19	1	no	—
710	C₄⋊C₄	—	19	1	no	—
711	C₄⋊C₄	—	19	1	no	—
712	C₄⋊C₄	—	19	1	no	—
713	C₄⋊C₄	—	19	1	no	—
714	C₄⋊C₄	—	19	1	no	—
715	C₄⋊C₄	—	19	1	no	—
716	C₄⋊C₄	—	19	1	no	—
717	C₄⋊C₄	—	19	1	no	—
718	C₄⋊C₄	—	19	1	no	—
719	C₄⋊C₄	—	19	1	no	—
720	C₄⋊C₄	—	19	1	no	—
721	C₄⋊C₄	—	19	1	no	—
722	C₄⋊C₄	—	19	1	no	—
723	C₄⋊C₄	—	19	1	no	—
724	C₄⋊C₄	—	19	1	no	—
725	C₄⋊C₄	—	19	1	no	—
726	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
728	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
729	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
730	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
731	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
732	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
733	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
734	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
735	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
737	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
738	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
739	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
740	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
741	C₄⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
742	C₂²⋊C₄	—	19	1	no	—
743	C₂²⋊C₄	—	19	1	no	—
744	C₂²⋊C₄	—	19	1	no	—
745	C₂²⋊C₄	—	19	1	no	—
746	C₂²⋊C₄	—	19	1	no	—
747	C₂²⋊C₄	—	19	1	no	—
748	C₂²⋊C₄	—	19	1	no	—
749	C₂²⋊C₄	—	19	1	no	—
750	C₂²⋊C₄	—	19	1	no	—
751	C₂²⋊C₄	—	19	1	no	—
752	C₂²⋊C₄	—	19	1	no	—
753	C₂²⋊C₄	—	19	1	no	—
754	C₂²⋊C₄	—	19	1	no	—
755	C₂²⋊C₄	—	19	1	no	—
756	C₂²⋊C₄	—	19	1	no	—
757	C₂²⋊C₄	—	19	1	no	—
758	C₂²⋊C₄	—	19	1	no	—
759	C₂²⋊C₄	—	19	1	no	—
760	C₂²⋊C₄	—	19	1	no	—
761	C₂²⋊C₄	—	19	1	no	—
762	C₂²⋊C₄	—	19	1	no	—
763	C₂²⋊C₄	—	19	1	no	—
764	C₂²⋊C₄	—	19	1	no	—
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	C₂²×D₁₉	1	1	yes	characteristic
777	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
778	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
779	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
780	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
781	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
782	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
783	C₂²⋊C₄	C₂²×D₁₉	1	1	yes	characteristic
784	C₄²	—	19	1	no	—
785	C₄²	—	19	1	no	—
786	C₄²	—	19	1	no	—
787	C₄²	—	19	1	no	—
788	C₄²	—	19	1	no	—
789	C₄²	—	19	1	no	—
790	C₄²	—	19	1	no	—
791	C₄²	—	19	1	no	—
792	C₄²	—	19	1	no	—
793	C₄²	—	19	1	no	—
794	C₄²	—	19	1	no	—
795	C₄²	—	19	1	no	—
796	C₄²	—	19	1	no	—
797	C₄²	C₂²×D₁₉	1	1	yes	characteristic
798	C₄²	C₂²×D₁₉	1	1	yes	characteristic
799	C₄²	C₂²×D₁₉	1	1	yes	characteristic
800	C₄²	C₂²×D₁₉	1	1	yes	characteristic
801	C₄²	C₂²×D₁₉	1	1	yes	characteristic
802	C₂³	—	19	1	no	—
803	C₂³	—	19	1	no	—
804	C₂³	—	19	1	no	—
805	C₂³	—	38	2	no	—
806	C₂³	—	76	1	no	—
807	C₂³	—	76	1	no	—
808	C₂³	C₂³×D₁₉	1	1	yes	characteristic
809	C₂³	C₂³×D₁₉	1	1	yes	characteristic
810	Q₈	—	4	1	no	—
811	Q₈	—	76	1	no	—
812	Q₈	—	76	1	no	—
813	Q₈	—	76	1	no	—
814	Q₈	—	76	1	no	—
815	Q₈	—	76	1	no	—
816	Q₈	—	76	1	no	—
817	Q₈	—	76	1	no	—
818	Q₈	—	76	1	no	—
819	D₄	—	2	2	no	—
820	D₄	—	38	2	no	—
821	D₄	—	76	1	no	—
822	D₄	—	76	1	no	—
823	D₄	—	76	1	no	—
824	D₄	—	76	1	no	—
825	D₄	—	76	1	no	—
826	C₂×C₄	—	2	2	no	—
827	C₂×C₄	—	2	2	no	—
828	C₂×C₄	—	4	1	no	—
829	C₂×C₄	—	4	1	no	—
830	C₂×C₄	—	19	1	no	—
831	C₂×C₄	—	19	1	no	—
832	C₂×C₄	—	19	1	no	—
833	C₂×C₄	—	19	1	no	—
834	C₂×C₄	—	19	1	no	—
835	C₂×C₄	—	19	1	no	—
836	C₂×C₄	—	19	1	no	—
837	C₂×C₄	—	19	1	no	—
838	C₂×C₄	—	19	1	no	—
839	C₂×C₄	—	19	1	no	—
840	C₂×C₄	—	19	1	no	—
841	C₂×C₄	—	19	1	no	—
842	C₂×C₄	—	19	1	no	—
843	C₂×C₄	—	76	1	no	—
844	C₂×C₄	—	76	1	no	—
845	C₂×C₄	—	76	1	no	—
846	C₂×C₄	—	76	1	no	—
847	C₂×C₄	—	76	1	no	—
848	C₂×C₄	—	76	1	no	—
849	C₂×C₄	—	76	1	no	—
850	C₂×C₄	—	76	1	no	—
851	C₂×C₄	—	76	1	no	—
852	C₂×C₄	—	76	1	no	—
853	C₂×C₄	—	76	1	no	—
854	C₂×C₄	—	76	1	no	—
855	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
856	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
857	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
858	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
859	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
860	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
861	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
862	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
863	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
864	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
865	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
866	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
867	C₂×C₄	C₂³×D₁₉	1	1	yes	characteristic
868	C₂²	—	2	1	no	—
869	C₂²	—	2	1	no	—
870	C₂²	—	2	1	no	—
871	C₂²	—	2	1	no	—
872	C₂²	—	2	1	no	—
873	C₂²	—	38	1	no	—
874	C₂²	—	38	1	no	—
875	C₂²	—	38	1	no	—
876	C₂²	—	38	1	no	—
877	C₂²	—	38	1	no	—
878	C₂²	—	38	1	no	—
879	C₂²	—	38	1	no	—
880	C₂²	—	38	1	no	—
881	C₂²	—	38	1	no	—
882	C₂²	—	152	2	no	—
883	C₂²	#10597436	1	2	yes	—
884	C₂²	C₂⁴×D₁₉	1	1	yes	characteristic
885	C₄	—	2	1	no	—
886	C₄	—	2	1	no	—
887	C₄	—	2	1	no	—
888	C₄	—	2	1	no	—
889	C₄	—	2	1	no	—
890	C₄	—	2	1	no	—
891	C₄	—	2	1	no	—
892	C₄	—	2	1	no	—
893	C₄	—	2	1	no	—
894	C₄	—	2	1	no	—
895	C₄	—	2	1	no	—
896	C₄	—	2	1	no	—
897	C₄	—	2	1	no	—
898	C₄	—	38	1	no	—
899	C₄	—	38	1	no	—
900	C₄	—	38	1	no	—
901	C₄	—	38	1	no	—
902	C₄	—	38	1	no	—
903	C₄	—	38	1	no	—
904	C₄	—	38	1	no	—
905	C₄	—	38	1	no	—
906	C₄	—	38	1	no	—
907	C₄	—	38	1	no	—
908	C₄	—	38	1	no	—
909	C₄	—	38	1	no	—
910	C₄	—	38	1	no	—
911	C₂	—	2	2	no	—
912	C₂	—	4	1	no	—
913	C₂	—	76	1	no	—
914	C₂	—	76	1	no	—
915	C₂	—	76	1	no	—
916	C₂	C₂×#10597436	1	1	yes	characteristic
917	C₂	#11927380	1	1	yes	characteristic
918	C₂	#11927381	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₉
commutator, socle, cosocle	C₂²×C₁₉	C₂⁵
Fitting	C₁₉×#552	C₂
prime radical	#11927127	C₂
hypercenter	#552	D₁₉
hypocenter	C₁₉	#3564
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. #11927298	C₂	semidirect
2. #11927298	C₂	semidirect
3. #11927296	C₂	semidirect
4. #11927295	C₂	semidirect
5. #11927267	C₂	semidirect
6. #11927261	C₂	semidirect
7. #11927253	C₂	semidirect
8. #11927248	C₂	semidirect
9. #11927232	C₂	semidirect
10. #11927229	C₂	semidirect
11. #11927227	C₂	semidirect
12. #11927218	C₂	semidirect
13. #11927218	C₂	semidirect
14. #11927217	C₂	semidirect
15. #11927217	C₂	semidirect
16. #11927172	C₂	semidirect
17. #11927169	C₂	semidirect
18. #11927165	C₂	semidirect
19. #11927160	C₂	semidirect
20. #11927157	C₂	semidirect
21. #11927153	C₂	semidirect
22. #11927153	C₂	semidirect
23. #11927152	C₂	semidirect
24. #11927143	C₂	semidirect
25. #11927138	C₂	semidirect
26. #11927135	C₂	semidirect
28. #11927097	C₂	semidirect
29. #11927071	C₂	semidirect
30. C₂×#10597344	C₂	semidirect
31. C₁₉×#552	C₂	semidirect
32. C₁₉×#126	C₂²	semidirect
33. C₁₉×#126	C₂²	semidirect
34. C₁₉×#125	C₂²	semidirect
35. C₁₉×#125	C₂²	semidirect
36. C₁₉×#125	C₂²	semidirect
40. C₁₉×C₂²⋊Q₈	C₂²	semidirect
41. C₄×Q₈×C₁₉	C₂²	semidirect
45. C₁₉×#117	C₂²	semidirect
49. #10597392	C₂²	semidirect
50. #10597390	C₂²	semidirect
67. #10597370	C₂²	semidirect
69. C₂×Dic₁₉⋊C₄	C₂²	semidirect
86. #10597344	C₂²	semidirect
87. #10597344	C₂²	semidirect
88. #10597344	C₂²	semidirect
89. #10597344	C₂²	semidirect
94. #10597343	C₂²	semidirect
95. #10597343	C₂²	semidirect
102. #10597342	C₂²	semidirect
103. #10597342	C₂²	semidirect
111. #10597338	C₂²	semidirect
112. #10597338	C₂²	semidirect
113. C₄⋊C₄×D₁₉	C₂²	semidirect
114. #10597336	C₂²	semidirect
115. #10597336	C₂²	semidirect
116. #10597336	C₂²	semidirect
117. #10597336	C₂²	semidirect
118. #10597336	C₂²	semidirect
119. #10597336	C₂²	semidirect
120. #10597336	C₂²	semidirect
121. #10597335	C₂²	semidirect
122. #10597335	C₂²	semidirect
123. #10597335	C₂²	semidirect
124. #10597335	C₂²	semidirect
125. #10597335	C₂²	semidirect
126. #10597335	C₂²	semidirect
127. #10597334	C₂²	semidirect
128. #10597334	C₂²	semidirect
129. #10597334	C₂²	semidirect
130. #10597334	C₂²	semidirect
131. #10597334	C₂²	semidirect
132. #10597333	C₂²	semidirect
133. #10597333	C₂²	semidirect
134. #10597333	C₂²	semidirect
137. #10597332	C₂²	semidirect
141. #10597331	C₂²	semidirect
145. #10597329	C₂²	semidirect
151. (C₂²⋊D₁₉)⋊C₄	C₂²	semidirect
154. #10597325	C₂²	semidirect
155. #10597325	C₂²	semidirect
163. #10597324	C₂²	semidirect
164. #10597324	C₂²	semidirect
165. #10597324	C₂²	semidirect
166. #10597323	C₂²	semidirect
177. #10597316	C₂²	semidirect
178. #10597316	C₂²	semidirect
179. #10597316	C₂²	semidirect
180. #10597315	C₂²	semidirect
181. #10597315	C₂²	semidirect
182. C₄×Dic₃₈	C₂²	semidirect
183. C₄×Dic₃₈	C₂²	semidirect
184. C₄×Dic₃₈	C₂²	semidirect
185. C₄×Dic₃₈	C₂²	semidirect
186. C₄×Dic₃₈	C₂²	semidirect
463. #552	D₁₉	semidirect
523. #126	C₂×D₁₉	semidirect
524. #126	C₂×D₁₉	semidirect
541. #125	C₂×D₁₉	semidirect
542. #125	C₂×D₁₉	semidirect
543. #125	C₂×D₁₉	semidirect
597. C₂²⋊Q₈	C₂×D₁₉	semidirect
611. C₄×Q₈	C₂×D₁₉	semidirect
634. #117	C₂×D₁₉	semidirect
646. C₁₉	#3564	semidirect

Maximal subgroups

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

subgroup	index
#11927298	2
#11927296	2
#11927295	2
#11927267	2
#11927261	2
#11927253	2
#11927248	2
#11927232	2
#11927229	2
#11927227	2
#11927218	2
#11927217	2
#11927172	2
#11927169	2
#11927165	2
#11927160	2
#11927157	2
#11927153	2
#11927152	2
#11927143	2
#11927138	2
#11927135	2
#11927127	2
#11927097	2
#11927071	2
C₂×#10597344	2
C₁₉×#552	2
#3564	19