Subgroups — #25960416

Order 11008.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1172 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19147796	C₂	1	1	yes	maximal, characteristic
2	#19143262	C₂	1	2	yes	maximal, complemented
3	#19143259	C₂	1	1	yes	maximal, characteristic, complemented
4	#19143259	C₂	1	1	yes	maximal, characteristic, complemented
5	#19143256	C₂	1	2	yes	maximal, complemented
6	#19143253	C₂	1	1	yes	maximal, characteristic, complemented
7	#19143251	C₂	1	2	yes	maximal, complemented
8	#19143251	C₂	1	2	yes	maximal, complemented
9	#19143245	C₂	1	1	yes	maximal, characteristic, complemented
10	#19143241	C₂	1	2	yes	maximal, complemented
11	#19143238	C₂	1	1	yes	maximal, characteristic, complemented
12	#19143234	C₂	1	2	yes	maximal, complemented
13	#19143230	C₂	1	1	yes	maximal, characteristic, complemented
14	#19143229	C₂	1	2	yes	maximal, complemented
15	C₂×#14582957	C₂	1	1	yes	maximal, characteristic, complemented
16	#433×D₄₃	C₂	1	2	yes	maximal, complemented
17	#19143162	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143162	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143045	C₂	1	1	yes	maximal, characteristic
20	#19143041	C₂	1	1	yes	maximal, characteristic
21	#19143022	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143017	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10621898	C₂²	1	1	yes	characteristic
25	C₂×#13063333	C₂²	1	1	yes	characteristic
26	C₂×#13063333	C₂²	1	1	yes	characteristic
27	C₂×#13063331	C₂²	1	1	yes	characteristic
28	C₂×#13063331	C₂²	1	1	yes	characteristic
29	#14583380	C₄	1	1	yes	characteristic
30	#14583380	C₄	1	1	yes	characteristic
31	#14583380	C₄	1	1	yes	characteristic
32	#14583380	C₄	1	1	yes	characteristic
33	#14583379	C₄	1	2	yes	—
34	#14583379	C₄	1	2	yes	—
35	#14583376	C₄	1	1	yes	characteristic
36	#14583376	C₄	1	1	yes	characteristic
37	#14583373	C₄	1	1	yes	characteristic
38	#14583373	C₄	1	1	yes	characteristic
39	#14583372	C₄	1	2	yes	—
40	#14583372	C₄	1	2	yes	—
41	C₄×#10621898	C₂²	1	2	yes	—
42	C₄×#10621898	C₂²	1	2	yes	—
43	#14583367	C₂²	1	1	yes	characteristic
44	#14583367	C₂²	1	1	yes	characteristic
45	#14583367	C₂²	1	1	yes	characteristic
46	#14583367	C₂²	1	1	yes	characteristic
47	C₂×#13063284	C₂²	1	1	yes	characteristic
48	#117×D₄₃	C₂²	1	2	yes	—
49	#117×D₄₃	C₂²	1	2	yes	—
50	#14582961	C₂²	1	2	yes	complemented
51	#14582961	C₂²	1	2	yes	complemented
52	#14582960	C₂²	1	2	yes	—
53	#14582960	C₂²	1	2	yes	—
54	#14582959	C₂²	1	2	yes	complemented
55	#14582959	C₂²	1	2	yes	complemented
56	#14582959	C₂²	1	2	yes	complemented
57	#14582959	C₂²	1	2	yes	complemented
58	#14582958	C₂²	1	2	yes	complemented
59	#14582958	C₂²	1	2	yes	complemented
60	#14582957	C₂²	1	1	yes	characteristic
61	#14582957	C₂²	1	2	yes	—
62	#14582957	C₂²	1	1	yes	characteristic
63	#14582957	C₂²	1	1	yes	characteristic
64	#14582957	C₂²	1	1	yes	characteristic
65	#14582957	C₂²	1	2	yes	—
66	#14582957	C₂²	1	1	yes	characteristic, complemented
67	#14582957	C₂²	1	1	yes	characteristic, complemented
68	#14582957	C₂²	1	1	yes	characteristic, complemented
69	#14582957	C₂²	1	1	yes	characteristic, complemented
70	#14582957	C₂²	1	2	yes	complemented
71	#14582957	C₂²	1	2	yes	complemented
72	#14582956	C₂²	1	2	yes	complemented
73	#14582955	C₂²	1	2	yes	complemented
74	#14582955	C₂²	1	2	yes	complemented
75	#14582954	C₂²	1	2	yes	complemented
76	#14582954	C₂²	1	2	yes	complemented
77	#14582952	C₂²	1	2	yes	complemented
78	#14582951	C₂²	1	2	yes	complemented
79	#14582951	C₂²	1	2	yes	complemented
80	#14582950	C₂²	1	2	yes	complemented
81	#14582950	C₂²	1	2	yes	complemented
82	#14582926	C₂²	1	1	yes	characteristic, complemented
83	#14582926	C₂²	1	1	yes	characteristic, complemented
84	#14582924	C₂²	1	2	yes	complemented
85	#14582924	C₂²	1	2	yes	complemented
86	#14582924	C₂²	1	2	yes	complemented
87	#14582924	C₂²	1	2	yes	complemented
88	#14582922	C₂²	1	1	yes	characteristic, complemented
89	#14582922	C₂²	1	1	yes	characteristic, complemented
90	#14582921	C₂²	1	2	yes	complemented
91	#14582921	C₂²	1	2	yes	complemented
92	C₂×Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
93	C₂×Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
94	C₄⋊C₈×D₄₃	C₂²	1	2	yes	complemented
95	C₄⋊C₈×D₄₃	C₂²	1	2	yes	complemented
96	#14582867	C₂²	1	1	yes	characteristic
97	#14582867	C₂²	1	1	yes	characteristic
98	#14582865	C₂²	1	1	yes	characteristic
99	#14582865	C₂²	1	1	yes	characteristic
100	#14582864	C₂²	1	2	yes	—
101	#14582864	C₂²	1	2	yes	—
102	#14582864	C₂²	1	2	yes	—
103	#14582864	C₂²	1	2	yes	—
104	#14582863	C₂²	1	1	yes	characteristic
105	#14582861	C₂²	1	2	yes	—
106	#14582861	C₂²	1	2	yes	—
107	C₂×C₂²⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
108	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	—
109	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	—
110	#14582856	C₂²	1	2	yes	complemented
111	#14582856	C₂²	1	2	yes	complemented
112	#14582855	C₂²	1	1	yes	characteristic, complemented
113	#14582855	C₂²	1	1	yes	characteristic, complemented
114	#14582853	C₂²	1	2	yes	complemented
115	#14582853	C₂²	1	2	yes	complemented
116	#14582851	C₂²	1	2	yes	complemented
117	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
118	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₄×#10621872	C₂²	1	2	yes	complemented
120	C₂×#13063235	C₂²	1	1	yes	characteristic, complemented
121	#97×D₄₃	C₂²	1	2	yes	complemented
122	C₂×C₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₈×D₄₃	C₂²	1	2	yes	complemented
124	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
125	C₄₃×#433	C₂²	1	2	yes	—
126	C₄₃×#433	C₂²	1	2	yes	—
127	C₄₃×#432	C₂²	1	2	yes	complemented
128	C₄₃×#431	C₂²	1	2	yes	complemented
129	C₄₃×#424	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#424	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#407	C₂²	1	1	yes	characteristic
132	C₂×C₂²⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
133	C₄₃×#405	C₂²	1	1	yes	characteristic, complemented
134	C₄₃×#405	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10621898	—	2	4	no	—
136	C₂×#10621898	—	2	4	no	—
137	C₂×#10621898	C₂×C₄	1	2	yes	—
138	C₂×#10621898	C₂×C₄	1	1	yes	characteristic
139	C₂×#10621898	C₂×C₄	1	1	yes	characteristic
140	C₂×#10621898	C₂³	1	1	yes	characteristic
141	C₂×#10621898	C₂³	1	2	yes	—
142	C₂×#10621898	C₂³	1	1	yes	characteristic
143	C₂²×Dic₈₆	C₂×C₄	1	1	yes	characteristic
144	C₂²×D₁₇₂	C₂×C₄	1	1	yes	characteristic
145	C₂²×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
146	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
147	#13063333	—	2	4	no	—
148	#13063333	—	2	4	no	—
149	#13063331	—	2	4	no	—
150	#13063331	—	2	4	no	—
151	C₂×#10621877	C₂³	1	1	yes	characteristic
152	C₂×#10621877	C₂³	1	1	yes	characteristic
153	C₂×#10621872	C₂³	1	2	yes	—
154	C₂×#10621872	C₂³	1	2	yes	—
155	C₂×#10621872	C₂³	1	2	yes	—
156	C₂×#10621872	C₂³	1	2	yes	—
157	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
158	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
159	C₂×C₈×D₄₃	C₂³	1	2	yes	—
160	C₂×C₈×D₄₃	C₂³	1	2	yes	—
161	C₂×C₈×D₄₃	C₂³	1	2	yes	—
162	C₂×C₈×D₄₃	C₂³	1	2	yes	—
163	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
164	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
165	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
166	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
167	#13063290	C₂×C₄	1	1	yes	characteristic
168	#13063290	C₂×C₄	1	1	yes	characteristic
169	#13063290	C₂×C₄	1	1	yes	characteristic
170	#13063290	C₂×C₄	1	1	yes	characteristic
171	#13063290	C₂×C₄	1	1	yes	characteristic
172	#13063290	C₂×C₄	1	1	yes	characteristic
173	#13063290	C₂×C₄	1	1	yes	characteristic
174	#13063290	C₂×C₄	1	1	yes	characteristic
175	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
176	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
177	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
178	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
179	#13063287	C₂×C₄	1	1	yes	characteristic
180	#13063287	C₂×C₄	1	1	yes	characteristic
181	#13063287	C₂×C₄	1	1	yes	characteristic
182	#13063287	C₂×C₄	1	1	yes	characteristic
183	#13063287	C₂×C₄	1	1	yes	characteristic
184	#13063287	C₂×C₄	1	1	yes	characteristic
185	#13063287	C₂×C₄	1	1	yes	characteristic
186	#13063287	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
188	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
189	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
190	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
191	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
192	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
193	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
194	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
195	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
196	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
197	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
198	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
199	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
200	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
201	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
202	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
203	#13063284	C₂×C₄	1	1	yes	characteristic
204	#13063284	C₂×C₄	1	1	yes	characteristic
205	#13063284	C₂×C₄	1	1	yes	characteristic
206	#13063284	C₂×C₄	1	1	yes	characteristic
207	#13063284	C₂³	1	1	yes	characteristic
208	#13063284	C₂³	1	1	yes	characteristic
209	#13063284	C₂³	1	1	yes	characteristic
210	#13063284	C₂³	1	1	yes	characteristic
211	#13063283	C₂×C₄	1	2	yes	—
212	#13063283	C₂×C₄	1	2	yes	—
213	#13063283	C₂×C₄	1	2	yes	—
214	#13063283	C₂×C₄	1	2	yes	—
215	#13063282	C₂³	1	2	yes	—
216	#13063282	C₂³	1	2	yes	—
217	#13063282	C₂³	1	2	yes	—
218	#13063282	C₂³	1	2	yes	—
219	#13063281	C₂×C₄	1	2	yes	—
220	#13063281	C₂×C₄	1	2	yes	—
221	#13063281	C₂×C₄	1	2	yes	—
222	#13063281	C₂×C₄	1	2	yes	—
223	C₂×C₄⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
224	C₂×C₄⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
225	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
226	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
227	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
228	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
229	C₂×C₂²⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₄₃	C₂×C₄	1	1	yes	characteristic
231	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
232	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
233	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
234	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
235	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
237	C₄²×D₄₃	C₂³	1	2	yes	—
238	C₄²×D₄₃	C₂³	1	2	yes	—
239	C₄²×D₄₃	C₂³	1	2	yes	—
240	C₄²×D₄₃	C₂³	1	2	yes	—
241	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
242	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
243	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
244	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
245	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
246	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
247	Dic₄₃⋊C₈	C₂³	1	2	yes	—
248	Dic₄₃⋊C₈	C₂³	1	2	yes	—
249	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
250	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
251	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
252	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
253	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
254	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
255	Dic₄₃⋊C₈	C₂³	1	2	yes	—
256	Dic₄₃⋊C₈	C₂³	1	2	yes	—
257	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
258	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
259	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
260	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
261	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
262	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
263	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
264	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
265	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
268	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
270	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
271	#13063236	C₂³	1	2	yes	—
272	#13063236	C₂³	1	2	yes	—
273	#13063235	C₂³	1	1	yes	characteristic
274	#13063235	C₂³	1	2	yes	—
275	#13063235	C₂³	1	1	yes	characteristic
276	#13063235	C₂³	1	1	yes	characteristic
277	#13063235	C₂³	1	1	yes	characteristic
278	#13063235	C₂³	1	2	yes	—
279	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
280	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
281	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₈×Dic₄₃	C₂³	1	2	yes	—
283	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₈×Dic₄₃	C₂³	1	2	yes	—
287	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
288	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
289	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
291	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
292	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
293	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
294	#117×C₄₃	C₂×C₄	1	2	yes	—
295	#117×C₄₃	C₂³	1	2	yes	—
296	#117×C₄₃	C₂³	1	1	yes	characteristic
297	#117×C₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
299	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	2	yes	—
301	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
302	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
303	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
304	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
305	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
306	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
310	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
311	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
312	#97×C₄₃	C₂³	1	2	yes	—
313	#97×C₄₃	C₂³	1	2	yes	—
314	C₄×C₈×C₄₃	C₂³	1	2	yes	—
315	C₄×C₈×C₄₃	C₂³	1	2	yes	—
316	C₂⁴×C₄₃	C₂²×C₄	1	1	yes	characteristic
317	C₂³×D₄₃	C₂²×C₄	1	2	yes	—
318	C₂²×C₄×C₄₃	—	2	2	no	—
319	C₂²×C₄×C₄₃	—	2	2	no	—
320	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
321	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
322	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
323	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
324	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
325	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
326	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂×C₂²⋊D₄₃	—	2	8	no	—
329	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
330	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
331	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
332	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
333	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
334	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
335	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
336	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
337	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
338	#10621898	—	2	2	no	—
339	#10621898	—	2	2	no	—
340	#10621898	—	2	8	no	—
341	#10621898	—	2	4	no	—
342	#10621898	—	2	4	no	—
343	#10621898	—	2	4	no	—
344	#10621898	—	2	4	no	—
345	#10621898	#41	1	4	yes	—
346	#10621898	#41	1	4	yes	—
347	C₂×D₁₇₂	—	2	4	no	—
348	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
349	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
350	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
351	C₂×C₄×D₄₃	—	2	4	no	—
352	C₂×C₄×D₄₃	—	2	4	no	—
353	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
354	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
355	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
356	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
357	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
358	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
359	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
360	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
361	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
362	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
363	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
364	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
365	C₂×Dic₈₆	—	2	4	no	—
366	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
367	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
368	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
369	M₁₆×C₄₃	—	2	2	no	—
370	M₁₆×C₄₃	—	2	2	no	—
371	C₂×C₈×C₄₃	—	2	2	no	—
372	C₂×C₈×C₄₃	—	2	2	no	—
373	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
377	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
380	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
381	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
382	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
383	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
384	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
385	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
386	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
387	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
388	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
389	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
390	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
391	C₄²×C₄₃	C₂⁴	1	2	yes	—
392	C₄²×C₄₃	C₂⁴	1	2	yes	—
393	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
394	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
395	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
396	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
397	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
398	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
399	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
400	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
401	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
402	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
403	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
404	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
405	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
406	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
407	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
408	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
409	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
410	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
411	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
412	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
413	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
414	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
415	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
416	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
417	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
418	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
419	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
420	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
421	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
422	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
423	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
424	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
425	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
426	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
427	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
428	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
429	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
430	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
431	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
432	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
433	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
434	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
435	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
436	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
437	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
438	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
439	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
440	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
441	#10621877	—	2	2	no	—
442	#10621877	—	2	2	no	—
443	C₂×C₄₃⋊C₈	—	2	2	no	—
444	C₂×C₄₃⋊C₈	—	2	2	no	—
445	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
446	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
447	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
448	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
449	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
450	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
451	#10621872	—	2	4	no	—
452	#10621872	—	2	4	no	—
453	#10621872	—	2	4	no	—
454	#10621872	—	2	4	no	—
455	C₈×D₄₃	—	2	4	no	—
456	C₈×D₄₃	—	2	4	no	—
457	C₈×D₄₃	—	2	4	no	—
458	C₈×D₄₃	—	2	4	no	—
459	C₂³×C₄₃	—	2	2	no	—
460	C₂³×C₄₃	—	4	1	no	—
461	C₂³×C₄₃	—	4	1	no	—
462	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
463	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
464	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
465	C₂²×D₄₃	—	2	4	no	—
466	C₂²×D₄₃	—	4	2	no	—
467	C₂²×D₄₃	—	4	2	no	—
468	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
469	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
470	C₂×C₄×C₄₃	—	2	2	no	—
471	C₂×C₄×C₄₃	—	2	2	no	—
472	C₂×C₄×C₄₃	—	2	2	no	—
473	C₂×C₄×C₄₃	—	2	1	no	—
474	C₂×C₄×C₄₃	—	2	1	no	—
475	C₂×C₄×C₄₃	—	2	1	no	—
476	C₂×C₄×C₄₃	—	2	1	no	—
477	C₂×C₄×C₄₃	—	4	2	no	—
478	C₂×C₄×C₄₃	—	4	2	no	—
479	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
480	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
481	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
482	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
483	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
484	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
485	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
486	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
487	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
488	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
489	C₂²⋊D₄₃	—	2	4	no	—
490	C₂²⋊D₄₃	—	2	4	no	—
491	C₂²⋊D₄₃	—	2	4	no	—
492	C₂²⋊D₄₃	#117	1	8	yes	—
493	C₂×Dic₄₃	—	2	4	no	—
494	C₂×Dic₄₃	—	4	1	no	—
495	C₂×Dic₄₃	—	4	1	no	—
496	C₂×Dic₄₃	—	4	1	no	—
497	C₂×Dic₄₃	—	4	1	no	—
498	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
499	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
500	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
501	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
502	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
503	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
504	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
505	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
506	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
507	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
508	D₁₇₂	—	2	4	no	—
509	D₁₇₂	—	2	2	no	—
510	D₁₇₂	#117	1	4	yes	—
511	C₄×D₄₃	—	2	4	no	—
512	C₄×D₄₃	—	2	2	no	—
513	C₄×D₄₃	—	2	2	no	—
514	C₄×D₄₃	—	2	4	no	—
515	C₄×D₄₃	—	4	2	no	—
516	C₄×D₄₃	—	4	2	no	—
517	C₄×D₄₃	—	4	2	no	—
518	C₄×D₄₃	—	4	2	no	—
519	C₄×D₄₃	—	4	2	no	—
520	C₄×D₄₃	—	4	2	no	—
521	C₄×D₄₃	—	4	2	no	—
522	C₄×D₄₃	—	4	2	no	—
523	C₄×D₄₃	C₂×#41	1	4	yes	—
524	C₄×D₄₃	C₂×#41	1	4	yes	—
525	Dic₈₆	—	2	2	no	—
526	Dic₈₆	—	2	4	no	—
527	Dic₈₆	#117	1	4	yes	—
528	C₈×C₄₃	—	2	1	no	—
529	C₈×C₄₃	—	2	1	no	—
530	C₈×C₄₃	—	2	2	no	—
531	C₈×C₄₃	—	2	2	no	—
532	C₈×C₄₃	—	2	1	no	—
533	C₈×C₄₃	—	2	1	no	—
534	C₄₃⋊C₈	—	2	1	no	—
535	C₄₃⋊C₈	—	2	1	no	—
536	C₄₃⋊C₈	—	2	2	no	—
537	C₄₃⋊C₈	—	2	2	no	—
538	C₄₃⋊C₈	—	2	1	no	—
539	C₄₃⋊C₈	—	2	1	no	—
540	#60129	—	43	1	no	maximal, Sylow
541	C₂²×C₄₃	—	2	1	no	—
542	C₂²×C₄₃	—	2	1	no	—
543	C₂²×C₄₃	—	2	1	no	—
544	C₂²×C₄₃	—	2	1	no	—
545	C₂²×C₄₃	—	2	1	no	—
546	C₂²×C₄₃	—	2	1	no	—
547	C₂²×C₄₃	—	2	1	no	—
548	C₂²×C₄₃	—	2	1	no	—
549	C₂²×C₄₃	—	8	2	no	—
550	C₂²×C₄₃	C₂×#117	1	2	yes	—
551	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
552	C₂×D₄₃	—	2	2	no	—
553	C₂×D₄₃	—	2	2	no	—
554	C₂×D₄₃	—	2	2	no	—
555	C₂×D₄₃	—	2	2	no	—
556	C₂×D₄₃	—	2	2	no	—
557	C₂×D₄₃	—	8	4	no	—
558	C₂×D₄₃	C₂×#117	1	4	yes	—
559	C₄×C₄₃	—	2	1	no	—
560	C₄×C₄₃	—	2	1	no	—
561	C₄×C₄₃	—	2	2	no	—
562	C₄×C₄₃	—	2	2	no	—
563	C₄×C₄₃	—	2	2	no	—
564	C₄×C₄₃	—	2	2	no	—
565	C₄×C₄₃	C₂×#117	1	2	yes	—
566	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
567	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
568	Dic₄₃	—	2	2	no	—
569	Dic₄₃	—	2	1	no	—
570	Dic₄₃	—	2	1	no	—
571	Dic₄₃	—	2	1	no	—
572	Dic₄₃	—	2	1	no	—
573	Dic₄₃	—	2	1	no	—
574	Dic₄₃	—	2	1	no	—
575	Dic₄₃	—	2	1	no	—
576	Dic₄₃	—	2	1	no	—
577	Dic₄₃	C₂×#117	1	4	yes	—
578	#3428	—	43	1	no	—
579	#2925	—	43	2	no	—
580	#2925	—	43	2	no	—
581	#2925	—	43	1	no	—
582	#2925	—	43	1	no	—
583	#2924	—	43	2	no	—
584	#2924	—	43	2	no	—
585	#2924	—	43	1	no	—
586	#2924	D₄₃	1	1	yes	characteristic, complemented
587	#2923	—	43	2	no	—
588	#2923	—	43	1	no	—
589	#2922	—	43	2	no	—
590	#2922	—	43	1	no	—
591	#2921	—	43	2	no	—
592	#2921	—	43	1	no	—
593	C₂×#433	—	43	2	no	—
594	C₂×#433	—	43	1	no	—
595	#2906	—	43	1	no	—
596	#2906	—	43	1	no	—
597	#2880	—	43	1	no	—
598	#2880	—	43	1	no	—
599	#2875	—	43	1	no	—
600	C₄×#131	—	43	1	no	—
601	C₂×C₄₃	—	2	2	no	—
602	C₂×C₄₃	—	4	1	no	—
603	C₂×C₄₃	—	4	1	no	—
604	C₂×C₄₃	C₂²×#117	1	1	yes	characteristic
605	C₂×C₄₃	#3573	1	1	yes	characteristic
606	C₂×C₄₃	#3573	1	1	yes	characteristic
607	D₄₃	—	2	4	no	—
608	D₄₃	—	4	2	no	—
609	C₂²×#41	—	43	1	no	—
610	C₂×#131	—	43	1	no	—
611	C₂×#131	—	43	1	no	—
612	C₂×#131	—	43	1	no	—
613	C₂×#131	—	43	1	no	—
614	#520	—	43	2	no	—
615	#520	—	43	2	no	—
616	#520	—	43	1	no	—
617	#520	—	43	1	no	—
618	#520	—	43	1	no	—
619	#520	—	43	1	no	—
620	#519	—	43	1	no	—
621	#519	—	43	1	no	—
622	#518	—	43	1	no	—
623	#518	—	43	1	no	—
624	#518	—	43	2	no	—
625	#518	—	43	2	no	—
626	C₄×#41	—	43	1	no	—
627	C₄×#41	—	43	1	no	—
628	C₄×#41	—	43	1	no	—
629	C₄×#41	—	43	1	no	—
630	C₄×#41	—	43	2	no	—
631	C₄×#41	—	43	2	no	—
632	C₂×#117	—	43	1	no	—
633	C₂×#117	—	43	2	no	—
634	C₂×#117	—	43	2	no	—
635	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
636	#433	—	43	2	no	—
637	#433	—	43	2	no	—
638	#433	—	43	2	no	—
639	#433	—	43	2	no	—
640	#433	—	43	2	no	—
641	#433	—	43	2	no	—
642	#433	—	43	1	no	—
643	#433	—	43	2	no	—
644	#433	—	43	1	no	—
645	#433	—	43	1	no	—
646	#433	—	43	1	no	—
647	#433	—	43	1	no	—
648	#433	—	43	1	no	—
649	#433	—	43	1	no	—
650	#433	—	43	1	no	—
651	#433	—	43	2	no	—
652	#433	—	43	2	no	—
653	#433	—	43	2	no	—
654	#433	—	43	2	no	—
655	#433	—	43	2	no	—
656	#433	—	43	2	no	—
657	#433	—	43	2	no	—
658	#433	C₂×D₄₃	1	2	yes	—
659	#433	C₂×D₄₃	1	2	yes	—
660	#432	—	43	2	no	—
661	#432	—	43	2	no	—
662	#432	—	43	2	no	—
663	#432	—	43	2	no	—
664	#432	—	43	2	no	—
665	#432	C₂×D₄₃	1	2	yes	complemented
666	#431	—	43	2	no	—
667	#431	—	43	2	no	—
668	#431	—	43	2	no	—
669	#431	—	43	2	no	—
670	#431	—	43	2	no	—
671	#431	C₂×D₄₃	1	2	yes	complemented
672	#424	—	43	1	no	—
673	#424	—	43	1	no	—
674	#424	—	43	2	no	—
675	#424	—	43	2	no	—
676	#424	—	43	2	no	—
677	#424	—	43	2	no	—
678	#424	C₂×D₄₃	1	1	yes	characteristic, complemented
679	#424	C₂×D₄₃	1	1	yes	characteristic, complemented
680	#423	—	43	1	no	—
681	#423	—	43	1	no	—
682	#423	—	43	2	no	—
683	#423	—	43	2	no	—
684	C₂×C₄⋊C₈	—	43	1	no	—
685	C₂×C₄⋊C₈	—	43	1	no	—
686	C₂×C₄⋊C₈	—	43	2	no	—
687	C₂×C₄⋊C₈	—	43	2	no	—
688	#408	—	43	1	no	—
689	#408	—	43	1	no	—
690	#408	—	43	1	no	—
691	#408	—	43	1	no	—
692	#408	—	43	2	no	—
693	#408	—	43	2	no	—
694	#408	—	43	2	no	—
695	#408	—	43	2	no	—
696	#407	—	43	1	no	—
697	#407	—	43	2	no	—
698	#407	—	43	2	no	—
699	#407	C₂×D₄₃	1	1	yes	characteristic
700	C₂×C₂²⋊C₈	—	43	1	no	—
701	C₂×C₂²⋊C₈	—	43	2	no	—
702	C₂×C₂²⋊C₈	—	43	2	no	—
703	C₂×C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic
704	#405	—	43	1	no	—
705	#405	—	43	1	no	—
706	#405	—	43	2	no	—
707	#405	—	43	2	no	—
708	#405	—	43	2	no	—
709	#405	—	43	2	no	—
710	#405	C₂×D₄₃	1	1	yes	characteristic, complemented
711	#405	C₂×D₄₃	1	1	yes	characteristic, complemented
712	C₄×M₁₆	—	43	1	no	—
713	C₄×M₁₆	—	43	1	no	—
714	C₄×M₁₆	—	43	2	no	—
715	C₄×M₁₆	—	43	2	no	—
716	C₂×#97	—	43	1	no	—
717	C₂×#97	—	43	2	no	—
718	C₂×C₄×C₈	—	43	1	no	—
719	C₂×C₄×C₈	—	43	2	no	—
720	C₄₃	#60129	1	1	yes	characteristic, complemented, Sylow
721	C₂×#41	—	43	2	no	—
722	C₂×#41	—	43	1	no	—
723	C₂×#41	—	43	1	no	—
724	C₂×#41	—	43	1	no	—
725	C₂×#41	—	43	2	no	—
726	C₂×#41	—	43	1	no	—
727	C₂×#41	—	86	4	no	—
728	C₂×#41	—	86	4	no	—
729	C₂²×Q₈	—	43	1	no	—
730	C₂²×D₄	—	43	2	no	—
731	C₂²×D₄	—	43	1	no	—
732	C₂³×C₄	—	43	2	no	—
733	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
734	#131	—	86	4	no	—
735	#131	—	86	4	no	—
736	#131	—	86	4	no	—
737	#131	—	86	4	no	—
738	C₂×M₁₆	—	43	1	no	—
739	C₂×M₁₆	—	43	1	no	—
740	C₂×M₁₆	—	43	2	no	—
741	C₂×M₁₆	—	43	2	no	—
742	C₂×M₁₆	—	43	2	no	—
743	C₂×M₁₆	—	43	2	no	—
744	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
745	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
746	C₂²×C₈	—	43	1	no	—
747	C₂²×C₈	—	43	1	no	—
748	C₂²×C₈	—	43	2	no	—
749	C₂²×C₈	—	43	2	no	—
750	C₂²×C₈	—	43	2	no	—
751	C₂²×C₈	—	43	2	no	—
752	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
753	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
754	C₄×Q₈	—	43	1	no	—
755	C₄×Q₈	—	43	1	no	—
756	C₄×Q₈	—	43	1	no	—
757	C₄×Q₈	—	43	1	no	—
758	C₄×Q₈	—	43	1	no	—
759	C₄×Q₈	—	43	1	no	—
760	C₄×Q₈	—	43	1	no	—
761	C₄×Q₈	—	43	1	no	—
762	C₄×Q₈	—	43	2	no	—
763	C₄×Q₈	—	43	2	no	—
764	C₄×Q₈	—	43	2	no	—
765	C₄×Q₈	—	43	2	no	—
766	C₄×D₄	—	43	2	no	—
767	C₄×D₄	—	43	2	no	—
768	C₄×D₄	—	43	2	no	—
769	C₄×D₄	—	43	2	no	—
770	C₄×D₄	—	43	2	no	—
771	C₄×D₄	—	43	2	no	—
772	C₄×D₄	—	43	2	no	—
773	C₄×D₄	—	43	2	no	—
774	C₄×D₄	—	43	1	no	—
775	C₄×D₄	—	43	1	no	—
776	C₄×D₄	—	43	1	no	—
777	C₄×D₄	—	43	1	no	—
778	C₄×D₄	—	43	1	no	—
779	C₄×D₄	—	43	1	no	—
780	C₄×D₄	—	43	1	no	—
781	C₄×D₄	—	43	1	no	—
782	C₄×D₄	—	43	2	no	—
783	C₄×D₄	—	43	2	no	—
784	C₄×D₄	—	43	2	no	—
785	C₄×D₄	—	43	2	no	—
786	C₄×D₄	—	43	2	no	—
787	C₄×D₄	—	43	2	no	—
788	C₄×D₄	—	43	2	no	—
789	C₄×D₄	—	43	2	no	—
790	C₄×D₄	—	43	2	no	—
791	C₄×D₄	—	43	2	no	—
792	C₄×D₄	—	43	2	no	—
793	C₄×D₄	—	43	2	no	—
794	#117	—	43	1	no	—
795	#117	—	43	1	no	—
796	#117	—	43	1	no	—
797	#117	—	43	1	no	—
798	#117	—	43	1	no	—
799	#117	—	43	1	no	—
800	#117	—	43	1	no	—
801	#117	—	43	1	no	—
802	#117	—	43	2	no	—
803	#117	—	43	2	no	—
804	#117	—	43	2	no	—
805	#117	—	43	2	no	—
806	#117	—	43	2	no	—
807	#117	—	43	2	no	—
808	#117	—	43	2	no	—
809	#117	—	43	2	no	—
810	#117	—	43	2	no	—
811	#117	—	43	2	no	—
812	#117	—	43	2	no	—
813	#117	—	43	2	no	—
814	#117	C₄×D₄₃	1	1	yes	characteristic
815	#117	C₄×D₄₃	1	1	yes	characteristic
816	#117	C₄×D₄₃	1	2	yes	—
817	#117	C₂²×D₄₃	1	2	yes	—
818	#117	C₂²×D₄₃	1	1	yes	characteristic
819	#117	C₂²×D₄₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	—	43	1	no	—
821	C₂×C₄⋊C₄	—	43	1	no	—
822	C₂×C₄⋊C₄	—	43	2	no	—
823	C₂×C₄⋊C₄	—	43	2	no	—
824	C₂×C₄⋊C₄	—	43	2	no	—
825	C₂×C₄⋊C₄	—	43	2	no	—
826	C₂×C₄⋊C₄	C₄×D₄₃	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₄×D₄₃	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	—	43	1	no	—
829	C₂×C₂²⋊C₄	—	43	1	no	—
830	C₂×C₂²⋊C₄	—	43	2	no	—
831	C₂×C₂²⋊C₄	—	43	2	no	—
832	C₂×C₂²⋊C₄	—	43	2	no	—
833	C₂×C₂²⋊C₄	—	43	2	no	—
834	C₂×C₂²⋊C₄	C₄×D₄₃	1	2	yes	—
835	C₂×C₄²	—	43	1	no	—
836	C₂×C₄²	—	43	1	no	—
837	C₂×C₄²	—	43	2	no	—
838	C₂×C₄²	—	43	2	no	—
839	C₂×C₄²	—	43	2	no	—
840	C₂×C₄²	—	43	2	no	—
841	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
842	C₄⋊C₈	—	43	1	no	—
843	C₄⋊C₈	—	43	1	no	—
844	C₄⋊C₈	—	43	1	no	—
845	C₄⋊C₈	—	43	2	no	—
846	C₄⋊C₈	—	43	2	no	—
847	C₄⋊C₈	—	43	1	no	—
848	C₄⋊C₈	—	43	1	no	—
849	C₄⋊C₈	—	43	1	no	—
850	C₄⋊C₈	—	43	1	no	—
851	C₄⋊C₈	—	43	1	no	—
852	C₄⋊C₈	—	43	2	no	—
853	C₄⋊C₈	—	43	2	no	—
854	C₄⋊C₈	—	43	2	no	—
855	C₄⋊C₈	—	43	2	no	—
856	C₄⋊C₈	—	43	2	no	—
857	C₄⋊C₈	—	43	2	no	—
858	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
859	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
860	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
861	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
862	C₂²⋊C₈	—	43	1	no	—
863	C₂²⋊C₈	—	43	2	no	—
864	C₂²⋊C₈	—	43	1	no	—
865	C₂²⋊C₈	—	43	1	no	—
866	C₂²⋊C₈	—	43	1	no	—
867	C₂²⋊C₈	—	43	2	no	—
868	C₂²⋊C₈	—	43	2	no	—
869	C₂²⋊C₈	—	43	2	no	—
870	C₂²⋊C₈	—	43	2	no	—
871	C₂²⋊C₈	—	43	2	no	—
872	C₂²⋊C₈	—	43	2	no	—
873	C₂²⋊C₈	—	43	2	no	—
874	C₂²⋊C₈	—	43	2	no	—
875	C₂²⋊C₈	—	43	2	no	—
876	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
877	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
878	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
879	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
880	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
881	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
882	#97	—	43	1	no	—
883	#97	—	43	2	no	—
884	#97	—	43	1	no	—
885	#97	—	43	1	no	—
886	#97	—	43	1	no	—
887	#97	—	43	2	no	—
888	#97	—	43	2	no	—
889	#97	—	43	2	no	—
890	#97	C₂²×D₄₃	1	2	yes	—
891	#97	C₂²×D₄₃	1	2	yes	—
892	C₄×C₈	—	43	1	no	—
893	C₄×C₈	—	43	1	no	—
894	C₄×C₈	—	43	2	no	—
895	C₄×C₈	—	43	1	no	—
896	C₄×C₈	—	43	1	no	—
897	C₄×C₈	—	43	2	no	—
898	C₄×C₈	—	43	2	no	—
899	C₄×C₈	—	43	2	no	—
900	C₄×C₈	C₂²×D₄₃	1	2	yes	—
901	C₄×C₈	C₂²×D₄₃	1	2	yes	—
902	C₂⁴	—	43	2	no	—
903	C₂⁴	C₂×C₄×D₄₃	1	1	yes	characteristic
904	#41	—	43	4	no	—
905	#41	—	43	4	no	—
906	#41	—	86	4	no	—
907	#41	—	86	4	no	—
908	#41	—	86	8	no	—
909	#41	—	86	4	no	—
910	#41	—	86	4	no	—
911	#41	—	86	2	no	—
912	#41	—	86	2	no	—
913	C₂×Q₈	—	43	1	no	—
914	C₂×Q₈	—	43	2	no	—
915	C₂×Q₈	—	43	1	no	—
916	C₂×Q₈	—	86	4	no	—
917	C₂×D₄	—	43	2	no	—
918	C₂×D₄	—	43	2	no	—
919	C₂×D₄	—	43	2	no	—
920	C₂×D₄	—	43	2	no	—
921	C₂×D₄	—	43	1	no	—
922	C₂×D₄	—	43	2	no	—
923	C₂×D₄	—	43	1	no	—
924	C₂×D₄	—	86	4	no	—
925	C₂×D₄	—	86	8	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	43	2	no	—
929	C₂²×C₄	—	43	2	no	—
930	C₂²×C₄	—	43	1	no	—
931	C₂²×C₄	—	43	1	no	—
932	C₂²×C₄	—	43	1	no	—
933	C₂²×C₄	—	43	1	no	—
934	C₂²×C₄	—	43	2	no	—
935	C₂²×C₄	—	43	2	no	—
936	C₂²×C₄	—	43	2	no	—
937	C₂²×C₄	—	43	2	no	—
938	C₂²×C₄	—	43	2	no	—
939	C₂²×C₄	—	43	2	no	—
940	C₂²×C₄	—	43	2	no	—
941	C₂²×C₄	—	43	2	no	—
942	C₂²×C₄	—	43	2	no	—
943	C₂²×C₄	—	43	2	no	—
944	C₂²×C₄	—	43	2	no	—
945	C₂²×C₄	—	86	4	no	—
946	C₂²×C₄	—	86	4	no	—
947	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
948	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
949	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
950	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
951	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
952	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
953	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
954	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
955	M₁₆	—	2	2	no	—
956	M₁₆	—	2	2	no	—
957	M₁₆	—	86	4	no	—
958	M₁₆	—	86	4	no	—
959	M₁₆	—	86	4	no	—
960	M₁₆	—	86	4	no	—
961	M₁₆	—	86	2	no	—
962	M₁₆	—	86	2	no	—
963	C₂×C₈	—	2	2	no	—
964	C₂×C₈	—	2	2	no	—
965	C₂×C₈	—	43	1	no	—
966	C₂×C₈	—	43	1	no	—
967	C₂×C₈	—	43	2	no	—
968	C₂×C₈	—	43	2	no	—
969	C₂×C₈	—	43	1	no	—
970	C₂×C₈	—	43	1	no	—
971	C₂×C₈	—	86	4	no	—
972	C₂×C₈	—	86	4	no	—
973	C₂×C₈	—	86	4	no	—
974	C₂×C₈	—	86	4	no	—
975	C₂×C₈	—	86	2	no	—
976	C₂×C₈	—	86	2	no	—
977	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
978	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
979	C₂×C₈	C₂³×D₄₃	1	2	yes	—
980	C₂×C₈	C₂³×D₄₃	1	2	yes	—
981	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
982	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
983	C₄⋊C₄	—	43	1	no	—
984	C₄⋊C₄	—	43	1	no	—
985	C₄⋊C₄	—	43	1	no	—
986	C₄⋊C₄	—	43	1	no	—
987	C₄⋊C₄	—	43	2	no	—
988	C₄⋊C₄	—	43	2	no	—
989	C₄⋊C₄	—	43	2	no	—
990	C₄⋊C₄	—	43	2	no	—
991	C₄⋊C₄	—	43	2	no	—
992	C₄⋊C₄	—	43	2	no	—
993	C₄⋊C₄	—	43	2	no	—
994	C₄⋊C₄	—	43	2	no	—
995	C₄⋊C₄	—	43	1	no	—
996	C₄⋊C₄	—	43	1	no	—
997	C₄⋊C₄	—	43	1	no	—
998	C₄⋊C₄	—	43	1	no	—
999	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1000	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1001	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1002	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1003	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1005	C₂²⋊C₄	—	43	1	no	—
1006	C₂²⋊C₄	—	43	1	no	—
1007	C₂²⋊C₄	—	43	1	no	—
1008	C₂²⋊C₄	—	43	1	no	—
1009	C₂²⋊C₄	—	43	1	no	—
1010	C₂²⋊C₄	—	43	1	no	—
1011	C₂²⋊C₄	—	43	1	no	—
1012	C₂²⋊C₄	—	43	1	no	—
1013	C₂²⋊C₄	—	43	2	no	—
1014	C₂²⋊C₄	—	43	2	no	—
1015	C₂²⋊C₄	—	43	2	no	—
1016	C₂²⋊C₄	—	43	2	no	—
1017	C₂²⋊C₄	—	43	2	no	—
1018	C₂²⋊C₄	—	43	2	no	—
1019	C₂²⋊C₄	—	43	2	no	—
1020	C₂²⋊C₄	—	43	2	no	—
1021	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1022	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1023	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1024	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1025	C₄²	—	43	2	no	—
1026	C₄²	—	43	2	no	—
1027	C₄²	—	43	2	no	—
1028	C₄²	—	43	2	no	—
1029	C₄²	—	43	1	no	—
1030	C₄²	—	43	1	no	—
1031	C₄²	—	43	1	no	—
1032	C₄²	—	43	1	no	—
1033	C₄²	—	43	2	no	—
1034	C₄²	—	43	2	no	—
1035	C₄²	—	43	2	no	—
1036	C₄²	—	43	2	no	—
1037	C₄²	—	43	1	no	—
1038	C₄²	—	43	1	no	—
1039	C₄²	—	43	1	no	—
1040	C₄²	—	43	1	no	—
1041	C₄²	C₂×C₄×D₄₃	1	2	yes	—
1042	C₄²	C₂×C₄×D₄₃	1	2	yes	—
1043	C₄²	C₂³×D₄₃	1	2	yes	—
1044	C₄²	C₂³×D₄₃	1	2	yes	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	4	1	no	—
1047	C₂³	—	4	1	no	—
1048	C₂³	—	43	2	no	—
1049	C₂³	—	43	2	no	—
1050	C₂³	—	86	4	no	—
1051	C₂³	—	172	2	no	—
1052	C₂³	—	172	2	no	—
1053	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1054	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1055	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1056	Q₈	—	43	4	no	—
1057	Q₈	—	86	4	no	—
1058	Q₈	—	86	2	no	—
1059	D₄	—	43	8	no	—
1060	D₄	—	43	4	no	—
1061	D₄	—	86	4	no	—
1062	D₄	—	86	4	no	—
1063	D₄	—	86	4	no	—
1064	D₄	—	86	4	no	—
1065	D₄	—	86	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	4	2	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	43	2	no	—
1076	C₂×C₄	—	43	4	no	—
1077	C₂×C₄	—	43	4	no	—
1078	C₂×C₄	—	43	1	no	—
1079	C₂×C₄	—	43	1	no	—
1080	C₂×C₄	—	43	1	no	—
1081	C₂×C₄	—	43	1	no	—
1082	C₂×C₄	—	43	1	no	—
1083	C₂×C₄	—	43	1	no	—
1084	C₂×C₄	—	43	1	no	—
1085	C₂×C₄	—	43	1	no	—
1086	C₂×C₄	—	43	2	no	—
1087	C₂×C₄	—	86	4	no	—
1088	C₂×C₄	—	86	4	no	—
1089	C₂×C₄	—	86	4	no	—
1090	C₂×C₄	—	86	2	no	—
1091	C₂×C₄	—	86	2	no	—
1092	C₂×C₄	—	172	2	no	—
1093	C₂×C₄	—	172	2	no	—
1094	C₂×C₄	—	172	2	no	—
1095	C₂×C₄	—	172	2	no	—
1096	C₂×C₄	—	172	2	no	—
1097	C₂×C₄	—	172	2	no	—
1098	C₂×C₄	—	172	2	no	—
1099	C₂×C₄	—	172	2	no	—
1100	C₂×C₄	—	172	1	no	—
1101	C₂×C₄	—	172	1	no	—
1102	C₂×C₄	—	172	1	no	—
1103	C₂×C₄	—	172	1	no	—
1104	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1105	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1106	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1107	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1108	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1109	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1110	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1111	C₂×C₄	#41×D₄₃	1	2	yes	—
1112	C₂×C₄	#41×D₄₃	1	2	yes	—
1113	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1114	C₈	—	2	1	no	—
1115	C₈	—	2	1	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	2	no	—
1119	C₈	—	2	2	no	—
1120	C₈	—	86	1	no	—
1121	C₈	—	86	1	no	—
1122	C₈	—	86	2	no	—
1123	C₈	—	86	2	no	—
1124	C₈	—	86	1	no	—
1125	C₈	—	86	1	no	—
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	8	2	no	—
1135	C₂²	—	43	4	no	—
1136	C₂²	—	86	2	no	—
1137	C₂²	—	86	2	no	—
1138	C₂²	—	86	2	no	—
1139	C₂²	—	86	2	no	—
1140	C₂²	—	86	2	no	—
1141	C₂²	—	344	4	no	—
1142	C₂²	#117×D₄₃	1	2	yes	—
1143	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1144	C₄	—	2	1	no	—
1145	C₄	—	2	1	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	43	4	no	—
1151	C₄	—	86	2	no	—
1152	C₄	—	86	1	no	—
1153	C₄	—	86	1	no	—
1154	C₄	—	86	1	no	—
1155	C₄	—	86	1	no	—
1156	C₄	—	86	1	no	—
1157	C₄	—	86	1	no	—
1158	C₄	—	86	1	no	—
1159	C₄	—	86	1	no	—
1160	C₄	#117×D₄₃	1	2	yes	—
1161	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1162	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1163	C₂	—	2	2	no	—
1164	C₂	—	4	1	no	—
1165	C₂	—	4	1	no	—
1166	C₂	—	86	4	no	—
1167	C₂	—	172	2	no	—
1168	C₂	C₂×#117×D₄₃	1	1	yes	characteristic
1169	C₂	#19149306	1	1	yes	characteristic
1170	C₂	#19149308	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2924	C₂
prime radical	C₂²×#10621898	C₂²
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2924	D₄₃
hypocenter	C₄₃	#60129
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #2924

Complements

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

N	H ≅ G/N	type
2. #19143262	C₂	semidirect
3. #19143259	C₂	semidirect
4. #19143259	C₂	semidirect
5. #19143256	C₂	semidirect
6. #19143253	C₂	semidirect
7. #19143251	C₂	semidirect
8. #19143251	C₂	semidirect
9. #19143245	C₂	semidirect
10. #19143241	C₂	semidirect
11. #19143238	C₂	semidirect
12. #19143234	C₂	semidirect
13. #19143230	C₂	semidirect
14. #19143229	C₂	semidirect
15. C₂×#14582957	C₂	semidirect
16. #433×D₄₃	C₂	semidirect
17. #19143162	C₂	semidirect
18. #19143162	C₂	semidirect
21. #19143022	C₂	semidirect
22. #19143017	C₂	semidirect
23. C₄₃×#2924	C₂	semidirect
50. #14582961	C₂²	semidirect
51. #14582961	C₂²	semidirect
54. #14582959	C₂²	semidirect
55. #14582959	C₂²	semidirect
56. #14582959	C₂²	semidirect
57. #14582959	C₂²	semidirect
58. #14582958	C₂²	semidirect
59. #14582958	C₂²	semidirect
66. #14582957	C₂²	semidirect
67. #14582957	C₂²	semidirect
68. #14582957	C₂²	semidirect
69. #14582957	C₂²	semidirect
70. #14582957	C₂²	semidirect
71. #14582957	C₂²	semidirect
72. #14582956	C₂²	semidirect
73. #14582955	C₂²	semidirect
74. #14582955	C₂²	semidirect
75. #14582954	C₂²	semidirect
76. #14582954	C₂²	semidirect
77. #14582952	C₂²	semidirect
78. #14582951	C₂²	semidirect
79. #14582951	C₂²	semidirect
80. #14582950	C₂²	semidirect
81. #14582950	C₂²	semidirect
82. #14582926	C₂²	semidirect
83. #14582926	C₂²	semidirect
84. #14582924	C₂²	semidirect
85. #14582924	C₂²	semidirect
86. #14582924	C₂²	semidirect
87. #14582924	C₂²	semidirect
88. #14582922	C₂²	semidirect
89. #14582922	C₂²	semidirect
90. #14582921	C₂²	semidirect
91. #14582921	C₂²	semidirect
92. C₂×Dic₄₃⋊C₈	C₂²	semidirect
93. C₂×Dic₄₃⋊C₈	C₂²	semidirect
94. C₄⋊C₈×D₄₃	C₂²	semidirect
95. C₄⋊C₈×D₄₃	C₂²	semidirect
110. #14582856	C₂²	semidirect
111. #14582856	C₂²	semidirect
112. #14582855	C₂²	semidirect
113. #14582855	C₂²	semidirect
114. #14582853	C₂²	semidirect
115. #14582853	C₂²	semidirect
116. #14582851	C₂²	semidirect
117. M₁₆×Dic₄₃	C₂²	semidirect
118. M₁₆×Dic₄₃	C₂²	semidirect
119. C₄×#10621872	C₂²	semidirect
120. C₂×#13063235	C₂²	semidirect
121. #97×D₄₃	C₂²	semidirect
122. C₂×C₈×Dic₄₃	C₂²	semidirect
123. C₄×C₈×D₄₃	C₂²	semidirect
127. C₄₃×#432	C₂²	semidirect
128. C₄₃×#431	C₂²	semidirect
129. C₄₃×#424	C₂²	semidirect
130. C₄₃×#424	C₂²	semidirect
133. C₄₃×#405	C₂²	semidirect
134. C₄₃×#405	C₂²	semidirect
586. #2924	D₄₃	semidirect
665. #432	C₂×D₄₃	semidirect
671. #431	C₂×D₄₃	semidirect
678. #424	C₂×D₄₃	semidirect
679. #424	C₂×D₄₃	semidirect
710. #405	C₂×D₄₃	semidirect
711. #405	C₂×D₄₃	semidirect
720. C₄₃	#60129	semidirect

Maximal subgroups

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

subgroup	index
#19147796	2
#19143262	2
#19143259	2
#19143256	2
#19143253	2
#19143251	2
#19143245	2
#19143241	2
#19143238	2
#19143234	2
#19143230	2
#19143229	2
C₂×#14582957	2
#433×D₄₃	2
#19143162	2
#19143045	2
#19143041	2
#19143022	2
#19143017	2
C₄₃×#2924	2
#60129	43