Subgroups — #25962883

Order 11008.

1628 conjugacy classes of subgroups.

The subgroup lattice has 932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19143765	C₂	1	1	yes	maximal, characteristic, complemented
2	#19143765	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143755	C₂	1	2	yes	maximal, complemented
4	#19143744	C₂	1	2	yes	maximal, complemented
5	#19143744	C₂	1	2	yes	maximal, complemented
6	#19143734	C₂	1	2	yes	maximal, complemented
7	#19143701	C₂	1	1	yes	maximal, characteristic, complemented
8	#19143697	C₂	1	2	yes	maximal, complemented
9	#19143690	C₂	1	2	yes	maximal, complemented
10	#19143600	C₂	1	2	yes	maximal, complemented
11	#19143591	C₂	1	2	yes	maximal, complemented
12	#19143591	C₂	1	2	yes	maximal, complemented
13	#19143582	C₂	1	2	yes	maximal, complemented
14	#19143571	C₂	1	1	yes	maximal, characteristic, complemented
15	#19143571	C₂	1	1	yes	maximal, characteristic, complemented
16	#19143544	C₂	1	2	yes	maximal, complemented
17	#19143536	C₂	1	2	yes	maximal, complemented
18	#19143530	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₃×#3531	C₂	1	1	yes	maximal, characteristic
20	#14583030	C₂²	1	1	yes	characteristic
21	#14583030	C₂²	1	2	yes	—
22	#14583030	C₂²	1	2	yes	—
23	#14583030	C₂²	1	2	yes	—
24	#14583030	C₂²	1	2	yes	—
25	#14583030	C₂²	1	2	yes	—
26	#14583030	C₂²	1	2	yes	—
27	#14583030	C₂²	1	2	yes	—
28	#14583030	C₂²	1	2	yes	—
29	#14583030	C₂²	1	2	yes	—
30	#14583030	C₂²	1	2	yes	—
31	#14583030	C₂²	1	2	yes	—
32	#14583030	C₂²	1	2	yes	—
33	#14583030	C₂²	1	1	yes	characteristic
34	#14583030	C₂²	1	2	yes	—
35	#14583030	C₂²	1	2	yes	—
36	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	—
37	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	—
38	Q₈×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
39	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	—
40	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	—
41	Q₈×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
42	#14582977	C₂²	1	1	yes	characteristic
43	#14582977	C₂²	1	2	yes	—
44	#14582977	C₂²	1	2	yes	—
45	#14582977	C₂²	1	2	yes	—
46	#14582977	C₂²	1	2	yes	—
47	#14582977	C₂²	1	1	yes	characteristic
48	#14582971	C₂²	1	2	yes	—
49	#14582971	C₂²	1	2	yes	—
50	#14582971	C₂²	1	2	yes	—
51	#14582971	C₂²	1	2	yes	—
52	#14582971	C₂²	1	2	yes	—
53	#14582971	C₂²	1	2	yes	—
54	#14582971	C₂²	1	2	yes	—
55	#14582971	C₂²	1	2	yes	—
56	#14582971	C₂²	1	2	yes	—
57	#14582971	C₂²	1	2	yes	—
58	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
59	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
60	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
61	D₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
62	D₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
63	D₄×C₄₃⋊C₈	C₂²	1	2	yes	—
64	#14582960	C₂²	1	2	yes	—
65	#14582960	C₂²	1	2	yes	—
66	#14582960	C₂²	1	2	yes	—
67	#14582960	C₂²	1	2	yes	—
68	#14582960	C₂²	1	2	yes	—
69	#14582960	C₂²	1	2	yes	—
70	#14582960	C₂²	1	2	yes	—
71	#14582960	C₂²	1	2	yes	—
72	#14582960	C₂²	1	2	yes	—
73	#14582960	C₂²	1	2	yes	—
74	#14582956	C₂²	1	2	yes	—
75	#14582956	C₂²	1	1	yes	characteristic
76	#14582956	C₂²	1	1	yes	characteristic
77	#14582952	C₂²	1	2	yes	—
78	#14582952	C₂²	1	2	yes	—
79	#14582952	C₂²	1	2	yes	—
80	#14582926	C₂²	1	1	yes	characteristic
81	#14582926	C₂²	1	2	yes	—
82	#14582926	C₂²	1	1	yes	characteristic
83	#14582926	C₂²	1	2	yes	—
84	#14582926	C₂²	1	2	yes	—
85	#14582926	C₂²	1	2	yes	—
86	#14582923	C₂²	1	2	yes	—
87	#14582923	C₂²	1	1	yes	characteristic
88	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	2	yes	—
89	#14582855	C₂²	1	1	yes	characteristic
90	#14582855	C₂²	1	1	yes	characteristic
91	#14582855	C₂²	1	2	yes	—
92	#14582855	C₂²	1	2	yes	—
93	#14582855	C₂²	1	2	yes	—
94	#14582855	C₂²	1	2	yes	—
95	C₄×#10621877	C₂²	1	2	yes	—
96	C₂×#13063236	C₂²	1	2	yes	—
97	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
98	C₄₃×#564	C₄	1	1	yes	characteristic
99	C₄₃×#563	C₄	1	1	yes	characteristic
100	C₄₃×#563	C₄	1	2	yes	—
101	C₄₃×#563	C₄	1	1	yes	characteristic
102	C₄₃×#563	C₄	1	2	yes	—
103	C₄₃×#563	C₄	1	2	yes	—
104	C₄₃×#563	C₄	1	2	yes	—
105	C₄₃×#562	C₄	1	2	yes	—
106	C₄₃×#562	C₄	1	2	yes	—
107	C₄₃×#562	C₄	1	1	yes	characteristic
108	C₄₃×#533	C₂²	1	2	yes	—
109	C₄₃×#533	C₂²	1	2	yes	—
110	C₄₃×#533	C₂²	1	1	yes	characteristic
111	C₄₃×#529	C₂²	1	2	yes	—
112	C₄₃×#529	C₂²	1	2	yes	—
113	C₄₃×#529	C₂²	1	2	yes	—
114	C₄₃×#529	C₂²	1	2	yes	—
115	C₄₃×#529	C₂²	1	1	yes	characteristic
116	C₄₃×#529	C₂²	1	1	yes	characteristic
117	C₂×#10621877	C₂³	1	2	yes	—
118	C₂×#10621877	C₂³	1	2	yes	—
119	C₂×#10621877	C₂³	1	1	yes	characteristic
120	C₂×#10621877	C₂³	1	2	yes	—
121	C₂×#10621877	C₂³	1	2	yes	—
122	C₂×#10621877	C₂³	1	1	yes	characteristic
123	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
124	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
125	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
126	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
127	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
128	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
129	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
130	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
131	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
132	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
133	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
134	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
135	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
136	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
137	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
138	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
139	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
140	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
141	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
142	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
143	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
144	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
145	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
146	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
147	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
148	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
149	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
150	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
151	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
152	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
153	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
154	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
155	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
156	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
157	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
158	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
159	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
160	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
161	#13063236	C₂³	1	2	yes	—
162	#13063236	C₂³	1	2	yes	—
163	#13063236	C₂³	1	2	yes	—
164	#13063236	C₂³	1	2	yes	—
165	#13063236	C₂³	1	2	yes	—
166	#13063236	C₂³	1	2	yes	—
167	#13063236	C₂³	1	2	yes	—
168	#13063236	C₂³	1	2	yes	—
169	#13063236	C₂³	1	2	yes	—
170	#13063236	C₂³	1	2	yes	—
171	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
172	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
173	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
174	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
175	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
176	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
177	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
178	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
179	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
180	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
181	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
182	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
183	C₄⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
184	C₄⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
185	C₄⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
186	C₄⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
187	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
188	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
189	#126×C₄₃	C₂×C₄	1	2	yes	—
190	#126×C₄₃	C₂×C₄	1	2	yes	—
191	#126×C₄₃	C₂×C₄	1	2	yes	—
192	#126×C₄₃	C₂×C₄	1	2	yes	—
193	#126×C₄₃	C₂×C₄	1	2	yes	—
194	#126×C₄₃	C₂×C₄	1	2	yes	—
195	#126×C₄₃	C₂×C₄	1	2	yes	—
196	#126×C₄₃	C₂×C₄	1	2	yes	—
197	#126×C₄₃	C₂×C₄	1	2	yes	—
198	#126×C₄₃	C₂×C₄	1	2	yes	—
199	#125×C₄₃	C₂×C₄	1	2	yes	—
200	#125×C₄₃	C₂×C₄	1	2	yes	—
201	#125×C₄₃	C₂×C₄	1	2	yes	—
202	#125×C₄₃	C₂×C₄	1	2	yes	—
203	#125×C₄₃	C₂×C₄	1	1	yes	characteristic
204	#125×C₄₃	C₂×C₄	1	1	yes	characteristic
205	#125×C₄₃	C₂×C₄	1	2	yes	—
206	#125×C₄₃	C₂×C₄	1	2	yes	—
207	#125×C₄₃	C₂×C₄	1	1	yes	characteristic
208	#125×C₄₃	C₂×C₄	1	2	yes	—
209	#125×C₄₃	C₂×C₄	1	2	yes	—
210	#125×C₄₃	C₂×C₄	1	1	yes	characteristic
211	#124×C₄₃	C₂×C₄	1	2	yes	—
212	#124×C₄₃	C₂×C₄	1	2	yes	—
213	#124×C₄₃	C₂×C₄	1	2	yes	—
214	#124×C₄₃	C₂×C₄	1	2	yes	—
215	#124×C₄₃	C₂×C₄	1	1	yes	characteristic
216	#124×C₄₃	C₂×C₄	1	1	yes	characteristic
217	#123×C₄₃	C₂×C₄	1	2	yes	—
218	#123×C₄₃	C₂×C₄	1	2	yes	—
219	#123×C₄₃	C₂×C₄	1	2	yes	—
220	#123×C₄₃	C₂×C₄	1	2	yes	—
221	#123×C₄₃	C₂×C₄	1	2	yes	—
222	#123×C₄₃	C₂×C₄	1	2	yes	—
223	#123×C₄₃	C₂×C₄	1	2	yes	—
224	#123×C₄₃	C₂×C₄	1	2	yes	—
225	#123×C₄₃	C₂×C₄	1	2	yes	—
226	#123×C₄₃	C₂×C₄	1	2	yes	—
227	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
228	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
229	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
230	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
231	C₂²⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
232	C₂²⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
233	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
234	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
235	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
236	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
237	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
238	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
239	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
240	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
241	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
242	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
243	#121×C₄₃	C₂×C₄	1	2	yes	—
244	#121×C₄₃	C₂×C₄	1	2	yes	—
245	#121×C₄₃	C₂×C₄	1	2	yes	—
246	#121×C₄₃	C₂×C₄	1	2	yes	—
247	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
248	#121×C₄₃	C₂×C₄	1	1	yes	characteristic
249	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
250	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
251	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
252	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
253	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
254	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₄₃	C₂³	1	2	yes	—
256	C₄×D₄×C₄₃	C₂³	1	2	yes	—
257	C₄×D₄×C₄₃	C₂³	1	2	yes	—
258	C₄×D₄×C₄₃	C₂³	1	2	yes	—
259	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
261	#117×C₄₃	C₂³	1	1	yes	characteristic
262	#117×C₄₃	C₂³	1	2	yes	—
263	#117×C₄₃	C₂³	1	1	yes	characteristic
264	#117×C₄₃	C₂³	1	2	yes	—
265	#117×C₄₃	C₂³	1	2	yes	—
266	#117×C₄₃	C₂³	1	2	yes	—
267	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
268	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
269	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
270	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
271	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
272	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
273	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
274	C₂×Q₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
275	C₂×Q₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
276	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
277	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
278	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
279	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
280	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
281	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
282	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
283	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
284	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
285	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
286	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
287	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
288	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
290	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
291	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
292	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
293	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
294	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
295	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
296	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
297	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
298	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
299	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
300	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
301	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
302	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
303	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
304	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
305	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
306	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
307	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
308	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
309	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
310	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
311	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
312	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
313	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
314	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
315	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
316	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
317	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
318	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
319	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
320	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
321	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
322	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
323	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
324	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
325	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
326	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
327	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
328	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
329	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
330	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
331	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
332	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
333	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
334	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
335	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
336	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
337	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
338	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
339	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
340	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
341	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
342	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
343	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
344	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
345	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
346	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
347	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
348	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
349	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
350	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
351	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
352	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
353	C₄²×C₄₃	C₂⁴	1	2	yes	—
354	C₄²×C₄₃	C₂⁴	1	2	yes	—
355	C₄²×C₄₃	C₂⁴	1	2	yes	—
356	C₄²×C₄₃	C₂⁴	1	2	yes	—
357	#10621877	—	2	4	no	—
358	#10621877	—	4	1	no	—
359	#10621877	—	4	2	no	—
360	#10621877	—	4	2	no	—
361	#10621877	—	4	2	no	—
362	#10621877	—	4	1	no	—
363	C₂×C₄₃⋊C₈	—	2	2	no	—
364	C₂×C₄₃⋊C₈	—	2	4	no	—
365	C₂×C₄₃⋊C₈	—	4	2	no	—
366	C₂×C₄₃⋊C₈	—	4	1	no	—
367	C₂×C₄₃⋊C₈	—	4	2	no	—
368	C₂×C₄₃⋊C₈	—	4	2	no	—
369	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
370	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
371	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
372	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
373	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
374	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
375	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
376	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
377	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
378	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
379	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
380	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
381	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
382	Q₈×C₄₃	—	4	2	no	—
383	Q₈×C₄₃	—	4	2	no	—
384	Q₈×C₄₃	—	4	2	no	—
385	Q₈×C₄₃	—	4	2	no	—
386	Q₈×C₄₃	—	4	1	no	—
387	Q₈×C₄₃	—	4	1	no	—
388	D₄×C₄₃	—	4	2	no	—
389	D₄×C₄₃	—	4	2	no	—
390	D₄×C₄₃	—	4	2	no	—
391	D₄×C₄₃	—	4	2	no	—
392	D₄×C₄₃	—	4	1	no	—
393	D₄×C₄₃	—	4	1	no	—
394	C₂×C₄×C₄₃	—	2	1	no	—
395	C₂×C₄×C₄₃	—	2	2	no	—
396	C₂×C₄×C₄₃	—	2	2	no	—
397	C₂×C₄×C₄₃	—	2	2	no	—
398	C₂×C₄×C₄₃	—	2	1	no	—
399	C₂×C₄×C₄₃	—	2	2	no	—
400	C₂×C₄×C₄₃	—	4	1	no	—
401	C₂×C₄×C₄₃	—	4	1	no	—
402	C₂×C₄×C₄₃	—	4	2	no	—
403	C₂×C₄×C₄₃	—	4	2	no	—
404	C₂×C₄×C₄₃	—	4	2	no	—
405	C₂×C₄×C₄₃	—	4	2	no	—
406	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
407	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
408	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
409	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
410	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
411	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
412	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
413	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
414	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
415	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
416	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
417	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
418	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
419	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
420	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
421	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
422	C₄₃⋊C₈	—	2	1	no	—
423	C₄₃⋊C₈	—	2	2	no	—
424	C₄₃⋊C₈	—	2	2	no	—
425	C₄₃⋊C₈	—	2	1	no	—
426	C₄₃⋊C₈	—	2	2	no	—
427	C₄₃⋊C₈	—	2	2	no	—
428	C₄₃⋊C₈	—	2	1	no	—
429	C₄₃⋊C₈	—	2	2	no	—
430	C₄₃⋊C₈	—	2	2	no	—
431	C₄₃⋊C₈	2₋¹⁺⁴	1	2	yes	—
432	#60346	—	43	1	no	maximal, Sylow
433	C₂²×C₄₃	—	2	1	no	—
434	C₂²×C₄₃	—	2	2	no	—
435	C₂²×C₄₃	—	2	2	no	—
436	C₂²×C₄₃	—	2	1	no	—
437	C₂²×C₄₃	—	2	1	no	—
438	C₂²×C₄₃	—	2	2	no	—
439	C₂²×C₄₃	—	2	2	no	—
440	C₂²×C₄₃	—	2	2	no	—
441	C₂²×C₄₃	—	2	2	no	—
442	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
443	C₄×C₄₃	—	2	1	no	—
444	C₄×C₄₃	—	2	2	no	—
445	C₄×C₄₃	—	2	2	no	—
446	C₄×C₄₃	—	2	1	no	—
447	C₄×C₄₃	—	2	1	no	—
448	C₄×C₄₃	—	2	2	no	—
449	C₄×C₄₃	—	2	2	no	—
450	C₄×C₄₃	—	2	2	no	—
451	C₄×C₄₃	—	2	2	no	—
452	C₄×C₄₃	—	2	1	no	—
453	C₄×C₄₃	—	2	1	no	—
454	C₄×C₄₃	—	2	2	no	—
455	C₄×C₄₃	—	2	2	no	—
456	C₄×C₄₃	—	2	2	no	—
457	C₄×C₄₃	—	2	2	no	—
458	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
459	C₄×C₄₃	#585	1	1	yes	characteristic
460	#3531	D₄₃	1	1	yes	characteristic
461	#2995	—	43	1	no	—
462	#2995	—	43	1	no	—
463	#2994	—	43	2	no	—
464	#2993	—	43	2	no	—
465	#2993	—	43	2	no	—
466	#2992	—	43	2	no	—
467	#2987	—	43	1	no	—
468	#2986	—	43	2	no	—
469	#2985	—	43	2	no	—
470	#2969	—	43	2	no	—
471	#2968	—	43	2	no	—
472	#2968	—	43	2	no	—
473	#2967	—	43	2	no	—
474	#2966	—	43	1	no	—
475	#2966	—	43	1	no	—
476	#2962	—	43	2	no	—
477	#2961	—	43	2	no	—
478	#2960	—	43	1	no	—
479	C₂×C₄₃	—	4	1	no	—
480	C₂×C₄₃	—	4	2	no	—
481	C₂×C₄₃	—	4	2	no	—
482	C₂×C₄₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
483	C₂×C₄₃	#3573	1	1	yes	characteristic
484	C₂×C₄₃	#3573	1	1	yes	characteristic
485	#564	Dic₄₃	1	1	yes	characteristic
486	#563	Dic₄₃	1	2	yes	—
487	#563	Dic₄₃	1	2	yes	—
488	#563	Dic₄₃	1	2	yes	—
489	#563	Dic₄₃	1	1	yes	characteristic
490	#563	Dic₄₃	1	2	yes	—
491	#563	Dic₄₃	1	1	yes	characteristic
492	#562	Dic₄₃	1	2	yes	—
493	#562	Dic₄₃	1	2	yes	—
494	#562	Dic₄₃	1	1	yes	characteristic
495	#533	C₂×D₄₃	1	1	yes	characteristic
496	#533	C₂×D₄₃	1	2	yes	—
497	#533	C₂×D₄₃	1	2	yes	—
498	#529	C₂×D₄₃	1	1	yes	characteristic
499	#529	C₂×D₄₃	1	1	yes	characteristic
500	#529	C₂×D₄₃	1	2	yes	—
501	#529	C₂×D₄₃	1	2	yes	—
502	#529	C₂×D₄₃	1	2	yes	—
503	#529	C₂×D₄₃	1	2	yes	—
504	#446	—	43	2	no	—
505	#446	—	43	2	no	—
506	#446	—	43	1	no	—
507	#446	—	43	2	no	—
508	#446	—	43	2	no	—
509	#446	—	43	2	no	—
510	#446	—	43	2	no	—
511	#446	—	43	2	no	—
512	#446	—	43	2	no	—
513	#446	—	43	2	no	—
514	#446	—	43	2	no	—
515	#446	—	43	2	no	—
516	#446	—	43	1	no	—
517	#446	—	43	2	no	—
518	#446	—	43	2	no	—
519	#446	—	43	2	no	—
520	C₈×Q₈	—	43	2	no	—
521	C₈×Q₈	—	43	2	no	—
522	C₈×Q₈	—	43	1	no	—
523	C₈×Q₈	—	43	2	no	—
524	C₈×Q₈	—	43	1	no	—
525	C₈×Q₈	—	43	2	no	—
526	#436	—	43	1	no	—
527	#436	—	43	1	no	—
528	#436	—	43	2	no	—
529	#436	—	43	2	no	—
530	#436	—	43	2	no	—
531	#436	—	43	2	no	—
532	#435	—	43	2	no	—
533	#435	—	43	2	no	—
534	#435	—	43	2	no	—
535	#435	—	43	2	no	—
536	#435	—	43	2	no	—
537	#435	—	43	2	no	—
538	#435	—	43	2	no	—
539	#435	—	43	2	no	—
540	#435	—	43	2	no	—
541	#435	—	43	2	no	—
542	C₈×D₄	—	43	1	no	—
543	C₈×D₄	—	43	2	no	—
544	C₈×D₄	—	43	2	no	—
545	C₈×D₄	—	43	1	no	—
546	C₈×D₄	—	43	2	no	—
547	C₈×D₄	—	43	2	no	—
548	#433	—	43	2	no	—
549	#433	—	43	2	no	—
550	#433	—	43	2	no	—
551	#433	—	43	2	no	—
552	#433	—	43	2	no	—
553	#433	—	43	2	no	—
554	#433	—	43	2	no	—
555	#433	—	43	2	no	—
556	#433	—	43	2	no	—
557	#433	—	43	2	no	—
558	#432	—	43	1	no	—
559	#432	—	43	1	no	—
560	#432	—	43	2	no	—
561	#431	—	43	2	no	—
562	#431	—	43	2	no	—
563	#431	—	43	2	no	—
564	#424	—	43	1	no	—
565	#424	—	43	1	no	—
566	#424	—	43	2	no	—
567	#424	—	43	2	no	—
568	#424	—	43	2	no	—
569	#424	—	43	2	no	—
570	#423	—	43	1	no	—
571	#423	—	43	2	no	—
572	C₂×C₄⋊C₈	—	43	2	no	—
573	#405	—	43	1	no	—
574	#405	—	43	1	no	—
575	#405	—	43	2	no	—
576	#405	—	43	2	no	—
577	#405	—	43	2	no	—
578	#405	—	43	2	no	—
579	C₄×M₁₆	—	43	2	no	—
580	C₂×#97	—	43	2	no	—
581	C₂×C₄×C₈	—	43	1	no	—
582	C₄₃	#60346	1	1	yes	characteristic, complemented, Sylow
583	C₂×M₁₆	—	43	2	no	—
584	C₂×M₁₆	—	43	2	no	—
585	C₂×M₁₆	—	43	1	no	—
586	C₂×M₁₆	—	43	2	no	—
587	C₂×M₁₆	—	43	2	no	—
588	C₂×M₁₆	—	43	1	no	—
589	C₂²×C₈	—	43	1	no	—
590	C₂²×C₈	—	43	2	no	—
591	C₂²×C₈	—	43	1	no	—
592	C₂²×C₈	—	43	2	no	—
593	C₂²×C₈	—	43	2	no	—
594	C₂²×C₈	—	43	2	no	—
595	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
596	C₄⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
597	C₄⋊Q₈	C₂×Dic₄₃	1	2	yes	—
598	C₄⋊Q₈	C₂×Dic₄₃	1	2	yes	—
599	C₄⋊Q₈	C₂×Dic₄₃	1	2	yes	—
600	C₄⋊Q₈	C₂×Dic₄₃	1	2	yes	—
601	#126	C₂×Dic₄₃	1	2	yes	—
602	#126	C₂×Dic₄₃	1	2	yes	—
603	#126	C₂×Dic₄₃	1	2	yes	—
604	#126	C₂×Dic₄₃	1	2	yes	—
605	#126	C₂×Dic₄₃	1	2	yes	—
606	#126	C₂×Dic₄₃	1	2	yes	—
607	#126	C₂×Dic₄₃	1	2	yes	—
608	#126	C₂×Dic₄₃	1	2	yes	—
609	#126	C₂×Dic₄₃	1	2	yes	—
610	#126	C₂×Dic₄₃	1	2	yes	—
611	#125	C₂×Dic₄₃	1	1	yes	characteristic
612	#125	C₂×Dic₄₃	1	1	yes	characteristic
613	#125	C₂×Dic₄₃	1	2	yes	—
614	#125	C₂×Dic₄₃	1	2	yes	—
615	#125	C₂×Dic₄₃	1	2	yes	—
616	#125	C₂×Dic₄₃	1	2	yes	—
617	#125	C₂×Dic₄₃	1	1	yes	characteristic
618	#125	C₂×Dic₄₃	1	2	yes	—
619	#125	C₂×Dic₄₃	1	2	yes	—
620	#125	C₂×Dic₄₃	1	1	yes	characteristic
621	#125	C₂×Dic₄₃	1	2	yes	—
622	#125	C₂×Dic₄₃	1	2	yes	—
623	#124	C₂×Dic₄₃	1	1	yes	characteristic
624	#124	C₂×Dic₄₃	1	1	yes	characteristic
625	#124	C₂×Dic₄₃	1	2	yes	—
626	#124	C₂×Dic₄₃	1	2	yes	—
627	#124	C₂×Dic₄₃	1	2	yes	—
628	#124	C₂×Dic₄₃	1	2	yes	—
629	#123	C₂×Dic₄₃	1	2	yes	—
630	#123	C₂×Dic₄₃	1	2	yes	—
631	#123	C₂×Dic₄₃	1	2	yes	—
632	#123	C₂×Dic₄₃	1	2	yes	—
633	#123	C₂×Dic₄₃	1	2	yes	—
634	#123	C₂×Dic₄₃	1	2	yes	—
635	#123	C₂×Dic₄₃	1	2	yes	—
636	#123	C₂×Dic₄₃	1	2	yes	—
637	#123	C₂×Dic₄₃	1	2	yes	—
638	#123	C₂×Dic₄₃	1	2	yes	—
639	C₂²⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
640	C₂²⋊Q₈	C₂×Dic₄₃	1	1	yes	characteristic
641	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
642	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
643	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
644	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
645	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
646	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
647	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
648	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
649	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
650	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
651	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
652	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
653	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
654	C₂²⋊Q₈	C₂×Dic₄₃	1	2	yes	—
655	#121	C₂×Dic₄₃	1	1	yes	characteristic
656	#121	C₂×Dic₄₃	1	1	yes	characteristic
657	#121	C₂×Dic₄₃	1	2	yes	—
658	#121	C₂×Dic₄₃	1	2	yes	—
659	#121	C₂×Dic₄₃	1	2	yes	—
660	#121	C₂×Dic₄₃	1	2	yes	—
661	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
662	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
663	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
664	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
665	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
666	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
667	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
668	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
669	C₄×D₄	C₂²×D₄₃	1	2	yes	—
670	C₄×D₄	C₂²×D₄₃	1	2	yes	—
671	C₄×D₄	C₂²×D₄₃	1	2	yes	—
672	C₄×D₄	C₂²×D₄₃	1	2	yes	—
673	#117	C₂²×D₄₃	1	2	yes	—
674	#117	C₂²×D₄₃	1	2	yes	—
675	#117	C₂²×D₄₃	1	2	yes	—
676	#117	C₂²×D₄₃	1	1	yes	characteristic
677	#117	C₂²×D₄₃	1	2	yes	—
678	#117	C₂²×D₄₃	1	1	yes	characteristic
679	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
680	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
681	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
682	C₄⋊C₈	—	43	2	no	—
683	C₄⋊C₈	—	43	2	no	—
684	C₄⋊C₈	—	43	2	no	—
685	C₄⋊C₈	—	43	2	no	—
686	C₄⋊C₈	—	43	2	no	—
687	C₄⋊C₈	—	43	2	no	—
688	C₄⋊C₈	—	43	2	no	—
689	C₄⋊C₈	—	43	2	no	—
690	C₄⋊C₈	—	43	2	no	—
691	C₄⋊C₈	—	43	2	no	—
692	C₄⋊C₈	—	43	2	no	—
693	C₄⋊C₈	—	43	2	no	—
694	C₄⋊C₈	—	43	2	no	—
695	C₄⋊C₈	—	43	1	no	—
696	C₄⋊C₈	—	43	2	no	—
697	C₄⋊C₈	—	43	1	no	—
698	C₄⋊C₈	—	43	2	no	—
699	C₄⋊C₈	—	43	2	no	—
700	C₄⋊C₈	—	43	2	no	—
701	C₄⋊C₈	—	43	1	no	—
702	C₄⋊C₈	—	43	2	no	—
703	C₄⋊C₈	—	43	1	no	—
704	C₂²⋊C₈	—	43	2	no	—
705	C₂²⋊C₈	—	43	2	no	—
706	C₂²⋊C₈	—	43	2	no	—
707	C₂²⋊C₈	—	43	2	no	—
708	C₂²⋊C₈	—	43	2	no	—
709	C₂²⋊C₈	—	43	2	no	—
710	C₂²⋊C₈	—	43	2	no	—
711	C₂²⋊C₈	—	43	2	no	—
712	C₂²⋊C₈	—	43	2	no	—
713	C₂²⋊C₈	—	43	2	no	—
714	#97	—	43	2	no	—
715	#97	—	43	2	no	—
716	#97	—	43	2	no	—
717	#97	—	43	2	no	—
718	#97	—	43	2	no	—
719	#97	—	43	2	no	—
720	#97	—	43	2	no	—
721	#97	—	43	2	no	—
722	#97	—	43	2	no	—
723	#97	—	43	2	no	—
724	C₄×C₈	—	43	1	no	—
725	C₄×C₈	—	43	1	no	—
726	C₄×C₈	—	43	1	no	—
727	C₄×C₈	—	43	1	no	—
728	C₄×C₈	—	43	2	no	—
729	C₄×C₈	—	43	2	no	—
730	C₄×C₈	—	43	2	no	—
731	C₄×C₈	—	43	2	no	—
732	C₄×C₈	—	43	2	no	—
733	C₄×C₈	—	43	2	no	—
734	C₄×C₈	—	43	2	no	—
735	C₄×C₈	—	43	2	no	—
736	C₂×Q₈	C₂²×Dic₄₃	1	1	yes	characteristic
737	C₂×Q₈	C₂²×Dic₄₃	1	1	yes	characteristic
738	C₂×Q₈	C₂²×Dic₄₃	1	2	yes	—
739	C₂×Q₈	C₂²×Dic₄₃	1	2	yes	—
740	C₂×Q₈	C₂²×Dic₄₃	1	2	yes	—
741	C₂×Q₈	C₂²×Dic₄₃	1	2	yes	—
742	C₂×D₄	C₂²×Dic₄₃	1	1	yes	characteristic
743	C₂×D₄	C₂²×Dic₄₃	1	1	yes	characteristic
744	C₂×D₄	C₂²×Dic₄₃	1	2	yes	—
745	C₂×D₄	C₂²×Dic₄₃	1	2	yes	—
746	C₂×D₄	C₂²×Dic₄₃	1	2	yes	—
747	C₂×D₄	C₂²×Dic₄₃	1	2	yes	—
748	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
749	C₂²×C₄	C₂²×Dic₄₃	1	1	yes	characteristic
750	C₂²×C₄	C₂²×Dic₄₃	1	2	yes	—
751	C₂²×C₄	C₂²×Dic₄₃	1	2	yes	—
752	C₂²×C₄	C₂²×Dic₄₃	1	2	yes	—
753	C₂²×C₄	C₂²×Dic₄₃	1	2	yes	—
754	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
755	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
756	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
757	M₁₆	—	86	4	no	—
758	M₁₆	—	172	1	no	—
759	M₁₆	—	172	2	no	—
760	M₁₆	—	172	2	no	—
761	M₁₆	—	172	2	no	—
762	M₁₆	—	172	1	no	—
763	C₂×C₈	—	43	1	no	—
764	C₂×C₈	—	43	1	no	—
765	C₂×C₈	—	43	1	no	—
766	C₂×C₈	—	43	2	no	—
767	C₂×C₈	—	43	2	no	—
768	C₂×C₈	—	43	2	no	—
769	C₂×C₈	—	43	1	no	—
770	C₂×C₈	—	43	2	no	—
771	C₂×C₈	—	43	2	no	—
772	C₂×C₈	—	43	2	no	—
773	C₂×C₈	—	86	2	no	—
774	C₂×C₈	—	86	4	no	—
775	C₂×C₈	—	172	2	no	—
776	C₂×C₈	—	172	1	no	—
777	C₂×C₈	—	172	2	no	—
778	C₂×C₈	—	172	2	no	—
779	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
780	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
781	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
782	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
783	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
784	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
785	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
786	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
787	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
788	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
789	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
790	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
791	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
792	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
793	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
794	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
795	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
796	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
797	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
798	C₄⋊C₄	C₂²×Dic₄₃	1	1	yes	characteristic
799	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
800	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
801	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
802	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
803	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
804	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
805	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
806	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
807	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
808	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
809	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
810	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
811	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
812	C₄⋊C₄	C₂²×Dic₄₃	1	2	yes	—
813	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
814	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
815	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
816	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
817	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
818	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
819	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
820	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
821	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
822	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
823	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
824	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
825	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
826	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
827	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
828	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
829	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
830	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
831	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
832	C₂²⋊C₄	C₂²×Dic₄₃	1	2	yes	—
833	C₄²	C₂²×Dic₄₃	1	1	yes	characteristic
834	C₄²	C₂²×Dic₄₃	1	2	yes	—
835	C₄²	C₂²×Dic₄₃	1	2	yes	—
836	C₄²	C₂²×Dic₄₃	1	1	yes	characteristic
837	C₄²	C₂²×Dic₄₃	1	2	yes	—
838	C₄²	C₂²×Dic₄₃	1	2	yes	—
839	C₄²	C₂³×D₄₃	1	1	yes	characteristic
840	C₄²	C₂³×D₄₃	1	1	yes	characteristic
841	C₄²	C₂³×D₄₃	1	2	yes	—
842	C₄²	C₂³×D₄₃	1	2	yes	—
843	C₄²	C₂³×D₄₃	1	2	yes	—
844	C₄²	C₂³×D₄₃	1	2	yes	—
845	C₂³	C₂³×Dic₄₃	1	1	yes	characteristic
846	C₂³	C₂³×Dic₄₃	1	2	yes	—
847	C₂³	C₂³×Dic₄₃	1	2	yes	—
848	Q₈	—	4	1	no	—
849	Q₈	—	4	1	no	—
850	Q₈	—	4	2	no	—
851	Q₈	—	4	2	no	—
852	Q₈	—	4	2	no	—
853	Q₈	—	4	2	no	—
854	D₄	—	4	1	no	—
855	D₄	—	4	1	no	—
856	D₄	—	4	2	no	—
857	D₄	—	4	2	no	—
858	D₄	—	4	2	no	—
859	D₄	—	4	2	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	2	no	—
862	C₂×C₄	—	2	2	no	—
863	C₂×C₄	—	2	2	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	2	no	—
866	C₂×C₄	—	4	1	no	—
867	C₂×C₄	—	4	1	no	—
868	C₂×C₄	—	4	2	no	—
869	C₂×C₄	—	4	2	no	—
870	C₂×C₄	—	4	2	no	—
871	C₂×C₄	—	4	2	no	—
872	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
873	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
874	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
875	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
876	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
877	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
878	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
879	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
880	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
881	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
882	C₂×C₄	C₂³×Dic₄₃	1	1	yes	characteristic
883	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
884	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
885	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
886	C₂×C₄	C₂³×Dic₄₃	1	2	yes	—
887	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
888	C₈	—	43	2	no	—
889	C₈	—	86	1	no	—
890	C₈	—	86	2	no	—
891	C₈	—	86	2	no	—
892	C₈	—	86	1	no	—
893	C₈	—	86	2	no	—
894	C₈	—	86	2	no	—
895	C₈	—	86	1	no	—
896	C₈	—	86	2	no	—
897	C₈	—	86	2	no	—
898	C₂²	—	2	1	no	—
899	C₂²	—	2	2	no	—
900	C₂²	—	2	2	no	—
901	C₂²	—	2	1	no	—
902	C₂²	—	2	1	no	—
903	C₂²	—	2	2	no	—
904	C₂²	—	2	2	no	—
905	C₂²	—	2	2	no	—
906	C₂²	—	2	2	no	—
907	C₂²	C₂⁴×Dic₄₃	1	1	yes	characteristic
908	C₄	—	2	1	no	—
909	C₄	—	2	2	no	—
910	C₄	—	2	2	no	—
911	C₄	—	2	1	no	—
912	C₄	—	2	1	no	—
913	C₄	—	2	2	no	—
914	C₄	—	2	2	no	—
915	C₄	—	2	2	no	—
916	C₄	—	2	2	no	—
917	C₄	—	2	1	no	—
918	C₄	—	2	1	no	—
919	C₄	—	2	2	no	—
920	C₄	—	2	2	no	—
921	C₄	—	2	2	no	—
922	C₄	—	2	2	no	—
923	C₄	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
924	C₄	#14583736	1	1	yes	characteristic
925	C₂	—	4	1	no	—
926	C₂	—	4	2	no	—
927	C₂	—	4	2	no	—
928	C₂	2₋¹⁺⁴×Dic₄₃	1	1	yes	characteristic
929	C₂	#19149307	1	1	yes	characteristic
930	C₂	#19149307	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting, prime radical	C₄₃×#3531	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#3531	D₄₃
hypocenter	C₄₃	#60346
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #3531

Complements

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

N	H ≅ G/N	type
1. #19143765	C₂	semidirect
2. #19143765	C₂	semidirect
3. #19143755	C₂	semidirect
4. #19143744	C₂	semidirect
5. #19143744	C₂	semidirect
6. #19143734	C₂	semidirect
7. #19143701	C₂	semidirect
8. #19143697	C₂	semidirect
9. #19143690	C₂	semidirect
10. #19143600	C₂	semidirect
11. #19143591	C₂	semidirect
12. #19143591	C₂	semidirect
13. #19143582	C₂	semidirect
14. #19143571	C₂	semidirect
15. #19143571	C₂	semidirect
16. #19143544	C₂	semidirect
17. #19143536	C₂	semidirect
18. #19143530	C₂	semidirect
582. C₄₃	#60346	semidirect

Maximal subgroups

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

subgroup	index
#19143765	2
#19143755	2
#19143744	2
#19143734	2
#19143701	2
#19143697	2
#19143690	2
#19143600	2
#19143591	2
#19143582	2
#19143571	2
#19143544	2
#19143536	2
#19143530	2
C₄₃×#3531	2
#60346	43