Subgroups — #25960387

Order 11008.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19147794	C₂	1	1	yes	maximal, characteristic
2	#19143263	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143261	C₂	1	1	yes	maximal, characteristic, complemented
4	#19143260	C₂	1	1	yes	maximal, characteristic, complemented
5	#19143259	C₂	1	1	yes	maximal, characteristic, complemented
6	#19143259	C₂	1	1	yes	maximal, characteristic, complemented
7	#19143257	C₂	1	1	yes	maximal, characteristic, complemented
8	#19143257	C₂	1	1	yes	maximal, characteristic, complemented
9	#19143254	C₂	1	2	yes	maximal, complemented
10	#19143251	C₂	1	2	yes	maximal, complemented
11	#19143251	C₂	1	2	yes	maximal, complemented
12	#19143248	C₂	1	2	yes	maximal, complemented
13	#19143243	C₂	1	2	yes	maximal, complemented
14	#19143241	C₂	1	2	yes	maximal, complemented
15	#19143236	C₂	1	2	yes	maximal, complemented
16	#19143234	C₂	1	2	yes	maximal, complemented
17	#19143157	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14582924	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143037	C₂	1	1	yes	maximal, characteristic
20	#408×D₄₃	C₂	1	1	yes	maximal, characteristic
21	#19143011	C₂	1	1	yes	maximal, characteristic, complemented
22	#405×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₃	C₂²	1	1	yes	characteristic
25	C₂²×#10621872	C₂²	1	1	yes	characteristic
26	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
27	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
28	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
29	#14583381	C₄	1	1	yes	characteristic
30	#14583381	C₄	1	1	yes	characteristic
31	#14583378	C₄	1	2	yes	—
32	#14583378	C₄	1	2	yes	—
33	#14583378	C₄	1	1	yes	characteristic
34	#14583378	C₄	1	1	yes	characteristic
35	#14583375	C₄	1	1	yes	characteristic
36	#14583375	C₄	1	1	yes	characteristic
37	#14583371	C₄	1	1	yes	characteristic
38	#14583371	C₄	1	1	yes	characteristic
39	#14583371	C₄	1	2	yes	—
40	#14583371	C₄	1	2	yes	—
41	#41×Dic₄₃	C₂²	1	1	yes	characteristic
42	C₄×#10621898	C₂²	1	2	yes	—
43	C₄×#10621898	C₂²	1	1	yes	characteristic
44	#14583367	C₂²	1	2	yes	—
45	#14583367	C₂²	1	1	yes	characteristic
46	C₂×#13063282	C₂²	1	2	yes	—
47	C₂×#13063282	C₂²	1	1	yes	characteristic
48	#117×D₄₃	C₂²	1	2	yes	—
49	#117×D₄₃	C₂²	1	1	yes	characteristic
50	#14582961	C₂²	1	2	yes	complemented
51	#14582961	C₂²	1	2	yes	complemented
52	#14582960	C₂²	1	2	yes	complemented
53	#14582960	C₂²	1	2	yes	complemented
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	2	yes	complemented
61	#14582957	C₂²	1	2	yes	complemented
62	#14582957	C₂²	1	2	yes	complemented
63	#14582957	C₂²	1	2	yes	complemented
64	#14582956	C₂²	1	2	yes	complemented
65	#14582955	C₂²	1	2	yes	complemented
66	#14582955	C₂²	1	2	yes	complemented
67	#14582954	C₂²	1	2	yes	complemented
68	#14582954	C₂²	1	2	yes	complemented
69	#14582953	C₂²	1	2	yes	complemented
70	#14582953	C₂²	1	2	yes	complemented
71	#14582952	C₂²	1	2	yes	complemented
72	#14582951	C₂²	1	2	yes	complemented
73	#14582951	C₂²	1	2	yes	complemented
74	#14582950	C₂²	1	2	yes	complemented
75	#14582950	C₂²	1	2	yes	complemented
76	#14582949	C₂²	1	2	yes	complemented
77	#14582949	C₂²	1	2	yes	complemented
78	#14582924	C₂²	1	1	yes	characteristic
79	#14582924	C₂²	1	2	yes	—
80	#14582924	C₂²	1	1	yes	characteristic
81	#14582924	C₂²	1	1	yes	characteristic
82	#14582924	C₂²	1	2	yes	—
83	#14582924	C₂²	1	1	yes	characteristic
84	#14582924	C₂²	1	1	yes	characteristic, complemented
85	#14582924	C₂²	1	2	yes	complemented
86	#14582924	C₂²	1	1	yes	characteristic, complemented
87	#14582924	C₂²	1	2	yes	complemented
88	#14582924	C₂²	1	1	yes	characteristic, complemented
89	#14582924	C₂²	1	1	yes	characteristic, complemented
90	#14582923	C₂²	1	1	yes	characteristic, complemented
91	#14582922	C₂²	1	1	yes	characteristic, complemented
92	#14582922	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
94	C₂×Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
95	C₂×Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
96	#14582867	C₂²	1	1	yes	characteristic
97	#14582867	C₂²	1	1	yes	characteristic
98	#14582866	C₂²	1	1	yes	characteristic
99	#14582866	C₂²	1	1	yes	characteristic
100	#14582865	C₂²	1	1	yes	characteristic
101	#14582865	C₂²	1	1	yes	characteristic
102	#14582864	C₂²	1	2	yes	—
103	#14582864	C₂²	1	2	yes	—
104	#14582864	C₂²	1	2	yes	—
105	#14582864	C₂²	1	2	yes	—
106	#14582861	C₂²	1	2	yes	—
107	#14582861	C₂²	1	2	yes	—
108	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	—
109	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	—
110	#14582857	C₂²	1	1	yes	characteristic, complemented
111	#14582857	C₂²	1	1	yes	characteristic, complemented
112	#14582856	C₂²	1	2	yes	—
113	#14582856	C₂²	1	2	yes	—
114	#14582855	C₂²	1	1	yes	characteristic, complemented
115	#14582855	C₂²	1	1	yes	characteristic, complemented
116	#14582854	C₂²	1	1	yes	characteristic, complemented
117	#14582854	C₂²	1	1	yes	characteristic, complemented
118	#14582853	C₂²	1	2	yes	—
119	#14582853	C₂²	1	2	yes	—
120	#14582851	C₂²	1	2	yes	complemented
121	C₄×#10621872	C₂²	1	2	yes	complemented
122	#97×D₄₃	C₂²	1	2	yes	complemented
123	C₄×C₈×D₄₃	C₂²	1	2	yes	complemented
124	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
125	C₄₃×#433	C₂²	1	2	yes	complemented
126	C₄₃×#433	C₂²	1	2	yes	complemented
127	C₄₃×#432	C₂²	1	2	yes	complemented
128	C₄₃×#431	C₂²	1	2	yes	complemented
129	C₄₃×#423	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#408	C₂²	1	1	yes	characteristic
132	C₄₃×#408	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×#10621902	C₂×C₄	1	1	yes	characteristic
136	C₂×#10621898	C₂³	1	2	yes	—
137	C₂×#10621898	C₂³	1	1	yes	characteristic
138	C₂×#10621900	C₂×C₄	1	2	yes	—
139	C₂×#10621900	C₂×C₄	1	1	yes	characteristic
140	#41×D₄₃	—	2	4	no	—
141	#41×D₄₃	—	2	4	no	—
142	C₂×Q₈×D₄₃	C₂×C₄	1	1	yes	characteristic
143	C₂×D₄×D₄₃	C₂×C₄	1	2	yes	—
144	C₂×D₄×D₄₃	C₂×C₄	1	1	yes	characteristic
145	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
146	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
147	C₂×#10621877	C₂³	1	1	yes	characteristic
148	C₂×#10621877	C₂³	1	1	yes	characteristic
149	C₂×#10621872	—	2	4	no	—
150	C₂×#10621872	C₂³	1	1	yes	characteristic
151	C₂×#10621872	C₂³	1	2	yes	—
152	C₂×#10621872	C₂³	1	1	yes	characteristic
153	C₂×#10621872	C₂³	1	1	yes	characteristic
154	C₂×#10621872	C₂³	1	2	yes	—
155	C₂×#10621872	C₂³	1	1	yes	characteristic
156	M₁₆×D₄₃	—	2	4	no	—
157	M₁₆×D₄₃	—	2	4	no	—
158	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
159	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
160	C₂×C₈×D₄₃	—	2	4	no	—
161	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
162	C₂×C₈×D₄₃	C₂³	1	2	yes	—
163	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
164	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
165	C₂×C₈×D₄₃	C₂³	1	2	yes	—
166	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
167	Q₈×Dic₄₃	C₂×C₄	1	1	yes	characteristic
168	Q₈×Dic₄₃	C₂×C₄	1	1	yes	characteristic
169	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
170	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
171	C₄×Dic₈₆	C₂×C₄	1	1	yes	characteristic
172	C₄×Dic₈₆	C₂×C₄	1	1	yes	characteristic
173	#13063290	C₂×C₄	1	2	yes	—
174	#13063290	C₂×C₄	1	2	yes	—
175	#13063290	C₂×C₄	1	1	yes	characteristic
176	#13063290	C₂×C₄	1	1	yes	characteristic
177	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
178	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
179	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
180	C₄×D₁₇₂	C₂×C₄	1	1	yes	characteristic
181	D₄×Dic₄₃	C₂×C₄	1	2	yes	—
182	D₄×Dic₄₃	C₂×C₄	1	2	yes	—
183	D₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
184	D₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
185	#13063287	C₂×C₄	1	2	yes	—
186	#13063287	C₂×C₄	1	2	yes	—
187	#13063287	C₂×C₄	1	1	yes	characteristic
188	#13063287	C₂×C₄	1	1	yes	characteristic
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	#13063284	C₂³	1	1	yes	characteristic
202	#13063284	C₂³	1	2	yes	—
203	#13063283	C₂×C₄	1	2	yes	—
204	#13063283	C₂×C₄	1	2	yes	—
205	#13063283	C₂×C₄	1	1	yes	characteristic
206	#13063283	C₂×C₄	1	1	yes	characteristic
207	#13063282	C₂×C₄	1	2	yes	—
208	#13063282	C₂×C₄	1	2	yes	—
209	#13063282	C₂×C₄	1	1	yes	characteristic
210	#13063282	C₂×C₄	1	1	yes	characteristic
211	#13063282	C₂×C₄	1	2	yes	—
212	#13063282	C₂×C₄	1	2	yes	—
213	#13063282	C₂×C₄	1	1	yes	characteristic
214	#13063282	C₂×C₄	1	1	yes	characteristic
215	#13063282	C₂³	1	2	yes	—
216	#13063282	C₂³	1	1	yes	characteristic
217	#13063282	C₂³	1	1	yes	characteristic
218	#13063282	C₂³	1	1	yes	characteristic
219	#13063282	C₂³	1	2	yes	—
220	#13063282	C₂³	1	1	yes	characteristic
221	#13063282	C₂³	1	2	yes	—
222	#13063281	C₂×C₄	1	2	yes	—
223	#13063281	C₂×C₄	1	2	yes	—
224	#13063281	C₂×C₄	1	2	yes	—
225	C₂×Dic₄₃⋊C₄	C₂×C₄	1	2	yes	—
226	C₂×Dic₄₃⋊C₄	C₂×C₄	1	2	yes	—
227	C₂×Dic₄₃⋊C₄	C₂×C₄	1	1	yes	characteristic
228	C₂×Dic₄₃⋊C₄	C₂×C₄	1	1	yes	characteristic
229	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
230	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
231	C₄⋊C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
232	C₄⋊C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
233	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
234	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
235	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
236	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	1	yes	characteristic
237	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
238	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
239	C₂²⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
240	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
242	C₄²×D₄₃	C₂³	1	2	yes	—
243	C₄²×D₄₃	C₂³	1	2	yes	—
244	C₄²×D₄₃	C₂³	1	2	yes	—
245	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
246	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
247	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
248	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
249	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
250	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
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	1	yes	characteristic
256	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
257	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
258	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
259	Dic₄₃⋊C₈	C₂³	1	2	yes	—
260	Dic₄₃⋊C₈	C₂³	1	2	yes	—
261	Dic₄₃⋊C₈	C₂³	1	2	yes	—
262	Dic₄₃⋊C₈	C₂³	1	2	yes	—
263	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
264	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
265	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
266	C₂²⋊(C₄₃⋊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	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
274	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
275	#13063236	C₂³	1	2	yes	—
276	#13063236	C₂³	1	2	yes	—
277	#13063235	C₂³	1	2	yes	—
278	#13063235	C₂³	1	2	yes	—
279	#13063235	C₂³	1	2	yes	—
280	#13063235	C₂³	1	2	yes	—
281	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
282	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
283	C₈×Dic₄₃	C₂³	1	2	yes	—
284	C₈×Dic₄₃	C₂³	1	2	yes	—
285	C₈×Dic₄₃	C₂³	1	2	yes	—
286	C₈×Dic₄₃	C₂³	1	2	yes	—
287	C₂×#41×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	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
293	C₄×Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
294	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
295	C₄×D₄×C₄₃	C₂×C₄	1	2	yes	—
296	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
297	C₄×D₄×C₄₃	C₂×C₄	1	1	yes	characteristic
298	#117×C₄₃	C₂³	1	1	yes	characteristic
299	#117×C₄₃	C₂³	1	2	yes	—
300	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
302	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
303	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
304	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
306	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
307	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
309	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
310	C₂²⋊C₈×C₄₃	C₂³	1	2	yes	—
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	C₂³×D₄₃	C₂²×C₄	1	2	yes	—
317	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
318	#41×C₄₃	—	2	2	no	—
319	#41×C₄₃	—	2	2	no	—
320	C₂×Q₈×C₄₃	C₂²×C₄	1	1	yes	characteristic
321	C₂×D₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
322	C₂×D₄×C₄₃	C₂²×C₄	1	2	yes	—
323	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
324	C₂²×C₄×C₄₃	C₂²×C₄	1	2	yes	—
325	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
326	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
327	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
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	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
333	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
334	C₂²×Dic₄₃	C₂²×C₄	1	2	yes	—
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	#10621902	—	2	4	no	—
339	Q₈×D₄₃	—	2	4	no	—
340	#10621900	—	2	8	no	—
341	#10621900	—	2	4	no	—
342	D₄×D₄₃	—	2	4	no	—
343	D₄×D₄₃	—	2	8	no	—
344	#10621898	—	2	2	no	—
345	#10621898	—	2	2	no	—
346	#10621898	—	2	4	no	—
347	#10621898	—	2	4	no	—
348	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
349	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
350	C₂×C₄×D₄₃	—	2	4	no	—
351	C₂×C₄×D₄₃	—	2	4	no	—
352	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
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	1	yes	characteristic
361	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
362	C₂×C₄×D₄₃	#41	1	4	yes	—
363	C₂×C₄×D₄₃	#41	1	4	yes	—
364	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
365	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
367	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
368	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
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	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
384	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
385	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
386	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
387	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
388	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
389	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
390	C₄²×C₄₃	C₂⁴	1	2	yes	—
391	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
394	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
395	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
396	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
397	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
398	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
399	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
400	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
401	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
405	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	1	yes	characteristic
409	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	1	yes	characteristic
410	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
411	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
412	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
413	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
414	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
415	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
416	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
417	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
418	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
420	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
421	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
422	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
423	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
424	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
425	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
426	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
427	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	2	yes	—
434	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
435	C₄×Dic₄₃	C₂²×C₄	1	2	yes	—
436	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
437	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
438	C₄×Dic₄₃	C₂⁴	1	2	yes	—
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	2	no	—
454	#10621872	—	2	2	no	—
455	#10621872	—	2	2	no	—
456	#10621872	—	2	2	no	—
457	C₈×D₄₃	—	2	2	no	—
458	C₈×D₄₃	—	2	2	no	—
459	C₈×D₄₃	—	2	2	no	—
460	C₈×D₄₃	—	2	2	no	—
461	C₈×D₄₃	—	2	4	no	—
462	C₈×D₄₃	—	2	4	no	—
463	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
464	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
465	C₂²×D₄₃	—	2	4	no	—
466	C₂²×D₄₃	—	4	1	no	—
467	C₂²×D₄₃	—	4	1	no	—
468	C₂²×D₄₃	—	4	2	no	—
469	C₂²×D₄₃	—	4	2	no	—
470	C₂²×D₄₃	#117	1	4	yes	—
471	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
472	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
473	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
474	Q₈×C₄₃	—	2	2	no	—
475	D₄×C₄₃	—	2	4	no	—
476	D₄×C₄₃	—	2	2	no	—
477	C₂×C₄×C₄₃	—	2	2	no	—
478	C₂×C₄×C₄₃	—	2	2	no	—
479	C₂×C₄×C₄₃	—	4	1	no	—
480	C₂×C₄×C₄₃	—	4	1	no	—
481	C₂×C₄×C₄₃	—	4	2	no	—
482	C₂×C₄×C₄₃	—	4	2	no	—
483	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
484	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
485	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
486	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
487	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
488	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
489	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
490	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
491	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
492	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
493	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
494	C₂²⋊D₄₃	—	2	4	no	—
495	C₂²⋊D₄₃	—	2	4	no	—
496	C₂²⋊D₄₃	—	2	4	no	—
497	C₂×Dic₄₃	—	2	4	no	—
498	C₂×Dic₄₃	—	4	1	no	—
499	C₂×Dic₄₃	—	4	1	no	—
500	C₂×Dic₄₃	—	4	2	no	—
501	C₂×Dic₄₃	—	4	2	no	—
502	C₂×Dic₄₃	#117	1	4	yes	—
503	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
504	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
505	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
506	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
507	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
508	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
509	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
510	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
511	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
512	D₁₇₂	—	2	4	no	—
513	D₁₇₂	—	2	2	no	—
514	C₄×D₄₃	—	2	4	no	—
515	C₄×D₄₃	—	2	2	no	—
516	C₄×D₄₃	—	2	2	no	—
517	C₄×D₄₃	—	2	4	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	—	4	2	no	—
524	C₄×D₄₃	#117	1	4	yes	—
525	C₄×D₄₃	#117	1	4	yes	—
526	C₄×D₄₃	C₂×#41	1	2	yes	—
527	C₄×D₄₃	C₂×#41	1	2	yes	—
528	C₄×D₄₃	C₂×#41	1	2	yes	—
529	C₄×D₄₃	C₂×#41	1	2	yes	—
530	Dic₈₆	—	2	2	no	—
531	Dic₈₆	—	2	4	no	—
532	C₈×C₄₃	—	2	1	no	—
533	C₈×C₄₃	—	2	1	no	—
534	C₈×C₄₃	—	2	2	no	—
535	C₈×C₄₃	—	2	2	no	—
536	C₈×C₄₃	—	2	1	no	—
537	C₈×C₄₃	—	2	1	no	—
538	C₄₃⋊C₈	—	2	1	no	—
539	C₄₃⋊C₈	—	2	1	no	—
540	C₄₃⋊C₈	—	2	2	no	—
541	C₄₃⋊C₈	—	2	2	no	—
542	C₄₃⋊C₈	—	2	1	no	—
543	C₄₃⋊C₈	—	2	1	no	—
544	#60126	—	43	1	no	maximal, Sylow
545	C₂²×C₄₃	—	2	1	no	—
546	C₂²×C₄₃	—	2	1	no	—
547	C₂²×C₄₃	—	2	2	no	—
548	C₂²×C₄₃	—	2	2	no	—
549	C₂²×C₄₃	—	2	2	no	—
550	C₂²×C₄₃	C₂×#117	1	2	yes	—
551	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
552	C₂×D₄₃	—	2	1	no	—
553	C₂×D₄₃	—	2	1	no	—
554	C₂×D₄₃	—	2	1	no	—
555	C₂×D₄₃	—	2	1	no	—
556	C₂×D₄₃	—	2	2	no	—
557	C₂×D₄₃	—	2	2	no	—
558	C₂×D₄₃	—	2	2	no	—
559	C₂×D₄₃	—	4	4	no	—
560	C₂×D₄₃	—	8	4	no	—
561	C₂×D₄₃	C₂×#117	1	2	yes	—
562	C₂×D₄₃	C₂×#117	1	2	yes	—
563	C₄×C₄₃	—	2	2	no	—
564	C₄×C₄₃	—	2	2	no	—
565	C₄×C₄₃	—	2	1	no	—
566	C₄×C₄₃	—	2	2	no	—
567	C₄×C₄₃	—	2	1	no	—
568	C₄×C₄₃	—	2	1	no	—
569	C₄×C₄₃	—	2	1	no	—
570	C₄×C₄₃	C₂×#117	1	2	yes	—
571	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
572	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
573	Dic₄₃	—	2	2	no	—
574	Dic₄₃	—	2	2	no	—
575	Dic₄₃	—	2	1	no	—
576	Dic₄₃	—	2	2	no	—
577	Dic₄₃	—	2	1	no	—
578	Dic₄₃	—	2	1	no	—
579	Dic₄₃	—	2	1	no	—
580	Dic₄₃	C₂×#117	1	2	yes	—
581	Dic₄₃	C₂×#117	1	2	yes	—
582	#3428	—	43	1	no	—
583	#2925	—	43	1	no	—
584	#2925	—	43	1	no	—
585	#2925	—	43	1	no	—
586	#2925	—	43	1	no	—
587	#2925	—	43	1	no	—
588	#2925	—	43	1	no	—
589	#2925	—	43	1	no	—
590	#2925	D₄₃	1	1	yes	characteristic, complemented
591	#2924	—	43	2	no	—
592	#2924	—	43	2	no	—
593	#2924	—	43	2	no	—
594	#2924	—	43	2	no	—
595	#2923	—	43	2	no	—
596	#2923	—	43	2	no	—
597	#2922	—	43	2	no	—
598	#2922	—	43	2	no	—
599	#2905	—	43	1	no	—
600	C₂×#424	—	43	1	no	—
601	#2879	—	43	1	no	—
602	C₂×#408	—	43	1	no	—
603	#2873	—	43	1	no	—
604	C₂×#405	—	43	1	no	—
605	C₂×C₄₃	—	2	2	no	—
606	C₂×C₄₃	—	4	2	no	—
607	C₂×C₄₃	C₂²×#117	1	1	yes	characteristic
608	C₂×C₄₃	#3573	1	1	yes	characteristic
609	C₂×C₄₃	#3573	1	1	yes	characteristic
610	D₄₃	—	2	2	no	—
611	D₄₃	—	2	2	no	—
612	D₄₃	—	4	2	no	—
613	C₂²×#41	—	43	1	no	—
614	C₂²×M₁₆	—	43	1	no	—
615	C₂²×M₁₆	—	43	1	no	—
616	C₂²×M₁₆	—	43	1	no	—
617	C₂³×C₈	—	43	1	no	—
618	#520	—	43	1	no	—
619	#520	—	43	1	no	—
620	#520	—	43	2	no	—
621	#520	—	43	2	no	—
622	#520	—	43	1	no	—
623	#520	—	43	1	no	—
624	#519	—	43	1	no	—
625	#519	—	43	1	no	—
626	#518	—	43	2	no	—
627	#518	—	43	2	no	—
628	#518	—	43	1	no	—
629	#518	—	43	1	no	—
630	C₄×#41	—	43	1	no	—
631	C₄×#41	—	43	2	no	—
632	C₄×#41	—	43	1	no	—
633	C₄×#41	—	43	2	no	—
634	C₄×#41	—	43	1	no	—
635	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
636	C₂×#117	—	43	1	no	—
637	C₂×#117	—	43	2	no	—
638	C₂×#117	—	43	1	no	—
639	C₂×#117	—	43	2	no	—
640	#433	—	43	2	no	—
641	#433	—	43	2	no	—
642	#433	—	43	2	no	—
643	#433	—	43	2	no	—
644	#433	—	43	2	no	—
645	#433	—	43	2	no	—
646	#433	—	43	2	no	—
647	#433	—	43	2	no	—
648	#433	—	43	2	no	—
649	#433	—	43	2	no	—
650	#433	—	43	2	no	—
651	#433	—	43	2	no	—
652	#433	—	43	2	no	—
653	#433	—	43	2	no	—
654	#433	C₂×D₄₃	1	2	yes	complemented
655	#433	C₂×D₄₃	1	2	yes	complemented
656	#432	—	43	2	no	—
657	#432	—	43	2	no	—
658	#432	—	43	2	no	—
659	#432	—	43	2	no	—
660	#432	—	43	2	no	—
661	#432	—	43	2	no	—
662	#432	—	43	2	no	—
663	#432	C₂×D₄₃	1	2	yes	complemented
664	#431	—	43	2	no	—
665	#431	—	43	2	no	—
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	1	no	—
675	#424	—	43	1	no	—
676	#424	—	43	1	no	—
677	#424	—	43	1	no	—
678	#424	—	43	1	no	—
679	#424	—	43	1	no	—
680	#424	—	43	2	no	—
681	#424	—	43	2	no	—
682	#424	—	43	2	no	—
683	#424	—	43	2	no	—
684	#423	—	43	1	no	—
685	#423	—	43	1	no	—
686	#423	—	43	1	no	—
687	#423	C₂×D₄₃	1	1	yes	characteristic, complemented
688	C₂×C₄⋊C₈	—	43	1	no	—
689	C₂×C₄⋊C₈	—	43	1	no	—
690	C₂×C₄⋊C₈	—	43	1	no	—
691	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
692	#408	—	43	1	no	—
693	#408	—	43	1	no	—
694	#408	—	43	1	no	—
695	#408	—	43	1	no	—
696	#408	—	43	1	no	—
697	#408	—	43	1	no	—
698	#408	—	43	2	no	—
699	#408	—	43	2	no	—
700	#408	—	43	2	no	—
701	#408	—	43	2	no	—
702	#408	C₂×D₄₃	1	1	yes	characteristic
703	#408	C₂×D₄₃	1	1	yes	characteristic
704	#407	—	43	2	no	—
705	#407	—	43	2	no	—
706	C₂×C₂²⋊C₈	—	43	2	no	—
707	C₂×C₂²⋊C₈	—	43	2	no	—
708	#405	—	43	1	no	—
709	#405	—	43	1	no	—
710	#405	—	43	1	no	—
711	#405	—	43	1	no	—
712	#405	—	43	1	no	—
713	#405	—	43	1	no	—
714	#405	—	43	2	no	—
715	#405	—	43	2	no	—
716	#405	—	43	2	no	—
717	#405	—	43	2	no	—
718	#405	C₂×D₄₃	1	1	yes	characteristic, complemented
719	#405	C₂×D₄₃	1	1	yes	characteristic, complemented
720	C₄×M₁₆	—	43	2	no	—
721	C₄×M₁₆	—	43	2	no	—
722	C₂×#97	—	43	2	no	—
723	C₂×C₄×C₈	—	43	2	no	—
724	C₄₃	#60126	1	1	yes	characteristic, complemented, Sylow
725	C₂×#41	—	43	1	no	—
726	C₂×#41	—	43	2	no	—
727	C₂×#41	—	43	1	no	—
728	C₂×#41	—	43	2	no	—
729	C₂×#41	—	43	1	no	—
730	C₂×#41	—	86	4	no	—
731	C₂×#41	—	86	4	no	—
732	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
733	C₂²×Q₈	—	43	1	no	—
734	C₂²×D₄	—	43	1	no	—
735	C₂²×D₄	—	43	2	no	—
736	C₂³×C₄	—	43	1	no	—
737	C₂³×C₄	—	43	2	no	—
738	C₂×M₁₆	—	43	1	no	—
739	C₂×M₁₆	—	43	1	no	—
740	C₂×M₁₆	—	43	1	no	—
741	C₂×M₁₆	—	43	2	no	—
742	C₂×M₁₆	—	43	1	no	—
743	C₂×M₁₆	—	43	1	no	—
744	C₂×M₁₆	—	43	2	no	—
745	C₂×M₁₆	—	43	1	no	—
746	C₂×M₁₆	—	86	4	no	—
747	C₂×M₁₆	—	86	4	no	—
748	C₂×M₁₆	—	86	4	no	—
749	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
750	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
751	C₂²×C₈	—	43	1	no	—
752	C₂²×C₈	—	43	1	no	—
753	C₂²×C₈	—	43	1	no	—
754	C₂²×C₈	—	43	1	no	—
755	C₂²×C₈	—	43	1	no	—
756	C₂²×C₈	—	43	1	no	—
757	C₂²×C₈	—	43	2	no	—
758	C₂²×C₈	—	43	2	no	—
759	C₂²×C₈	—	86	4	no	—
760	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
761	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
762	C₄×Q₈	—	43	1	no	—
763	C₄×Q₈	—	43	1	no	—
764	C₄×Q₈	—	43	2	no	—
765	C₄×Q₈	—	43	2	no	—
766	C₄×Q₈	—	43	1	no	—
767	C₄×Q₈	—	43	1	no	—
768	C₄×Q₈	—	43	2	no	—
769	C₄×Q₈	—	43	2	no	—
770	C₄×Q₈	—	43	1	no	—
771	C₄×Q₈	—	43	1	no	—
772	C₄×Q₈	C₄×D₄₃	1	1	yes	characteristic
773	C₄×Q₈	C₄×D₄₃	1	1	yes	characteristic
774	C₄×D₄	—	43	2	no	—
775	C₄×D₄	—	43	2	no	—
776	C₄×D₄	—	43	1	no	—
777	C₄×D₄	—	43	1	no	—
778	C₄×D₄	—	43	2	no	—
779	C₄×D₄	—	43	2	no	—
780	C₄×D₄	—	43	2	no	—
781	C₄×D₄	—	43	2	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	1	no	—
787	C₄×D₄	—	43	1	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	C₄×D₄	—	43	2	no	—
795	C₄×D₄	—	43	2	no	—
796	C₄×D₄	—	43	1	no	—
797	C₄×D₄	—	43	1	no	—
798	C₄×D₄	C₄×D₄₃	1	2	yes	—
799	C₄×D₄	C₄×D₄₃	1	2	yes	—
800	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
801	C₄×D₄	C₄×D₄₃	1	1	yes	characteristic
802	#117	—	43	1	no	—
803	#117	—	43	2	no	—
804	#117	—	43	1	no	—
805	#117	—	43	1	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	1	no	—
812	#117	—	43	1	no	—
813	#117	—	43	2	no	—
814	#117	—	43	2	no	—
815	#117	—	43	1	no	—
816	#117	—	43	1	no	—
817	#117	—	43	2	no	—
818	#117	—	43	2	no	—
819	#117	—	43	2	no	—
820	#117	—	43	1	no	—
821	#117	—	43	1	no	—
822	#117	—	43	1	no	—
823	#117	—	43	1	no	—
824	#117	—	43	2	no	—
825	#117	—	43	2	no	—
826	#117	C₂²×D₄₃	1	1	yes	characteristic
827	#117	C₂²×D₄₃	1	2	yes	—
828	C₂×C₄⋊C₄	—	43	1	no	—
829	C₂×C₄⋊C₄	—	43	1	no	—
830	C₂×C₄⋊C₄	—	43	2	no	—
831	C₂×C₄⋊C₄	—	43	2	no	—
832	C₂×C₄⋊C₄	—	43	1	no	—
833	C₂×C₄⋊C₄	—	43	1	no	—
834	C₂×C₄⋊C₄	—	43	2	no	—
835	C₂×C₄⋊C₄	—	43	2	no	—
836	C₂×C₂²⋊C₄	—	43	1	no	—
837	C₂×C₂²⋊C₄	—	43	1	no	—
838	C₂×C₂²⋊C₄	—	43	2	no	—
839	C₂×C₂²⋊C₄	—	43	2	no	—
840	C₂×C₂²⋊C₄	—	43	2	no	—
841	C₂×C₂²⋊C₄	—	43	2	no	—
842	C₂×C₂²⋊C₄	—	43	2	no	—
843	C₂×C₄²	—	43	1	no	—
844	C₂×C₄²	—	43	2	no	—
845	C₂×C₄²	—	43	2	no	—
846	C₂×C₄²	—	43	2	no	—
847	C₂×C₄²	—	43	2	no	—
848	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
849	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
850	C₄⋊C₈	—	43	1	no	—
851	C₄⋊C₈	—	43	1	no	—
852	C₄⋊C₈	—	43	1	no	—
853	C₄⋊C₈	—	43	1	no	—
854	C₄⋊C₈	—	43	1	no	—
855	C₄⋊C₈	—	43	1	no	—
856	C₄⋊C₈	—	43	1	no	—
857	C₄⋊C₈	—	43	1	no	—
858	C₄⋊C₈	—	43	2	no	—
859	C₄⋊C₈	—	43	2	no	—
860	C₄⋊C₈	—	43	2	no	—
861	C₄⋊C₈	—	43	2	no	—
862	C₄⋊C₈	—	43	1	no	—
863	C₄⋊C₈	—	43	1	no	—
864	C₄⋊C₈	—	43	1	no	—
865	C₄⋊C₈	—	43	1	no	—
866	C₄⋊C₈	—	43	2	no	—
867	C₄⋊C₈	—	43	2	no	—
868	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
869	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
870	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
871	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
872	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
873	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
874	C₂²⋊C₈	—	43	2	no	—
875	C₂²⋊C₈	—	43	2	no	—
876	C₂²⋊C₈	—	43	2	no	—
877	C₂²⋊C₈	—	43	2	no	—
878	C₂²⋊C₈	—	43	2	no	—
879	C₂²⋊C₈	—	43	2	no	—
880	C₂²⋊C₈	—	43	2	no	—
881	C₂²⋊C₈	—	43	2	no	—
882	C₂²⋊C₈	—	43	2	no	—
883	C₂²⋊C₈	—	43	2	no	—
884	C₂²⋊C₈	—	43	2	no	—
885	C₂²⋊C₈	—	43	2	no	—
886	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
887	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
888	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
889	C₂²⋊C₈	C₂²×D₄₃	1	2	yes	—
890	#97	—	43	2	no	—
891	#97	—	43	2	no	—
892	#97	—	43	2	no	—
893	#97	—	43	2	no	—
894	#97	—	43	2	no	—
895	#97	—	43	2	no	—
896	#97	C₂²×D₄₃	1	2	yes	—
897	#97	C₂²×D₄₃	1	2	yes	—
898	C₄×C₈	—	43	2	no	—
899	C₄×C₈	—	43	2	no	—
900	C₄×C₈	—	43	2	no	—
901	C₄×C₈	—	43	2	no	—
902	C₄×C₈	—	43	2	no	—
903	C₄×C₈	—	43	2	no	—
904	C₄×C₈	C₂²×D₄₃	1	2	yes	—
905	C₄×C₈	C₂²×D₄₃	1	2	yes	—
906	C₂⁴	—	43	1	no	—
907	C₂⁴	—	43	2	no	—
908	#41	—	2	2	no	—
909	#41	—	2	2	no	—
910	#41	—	86	4	no	—
911	#41	—	86	4	no	—
912	#41	—	86	8	no	—
913	#41	—	86	4	no	—
914	#41	—	86	4	no	—
915	#41	—	86	2	no	—
916	#41	—	86	2	no	—
917	C₂×Q₈	—	43	2	no	—
918	C₂×Q₈	—	43	1	no	—
919	C₂×Q₈	—	86	4	no	—
920	C₂×Q₈	C₂×C₄×D₄₃	1	1	yes	characteristic
921	C₂×D₄	—	43	2	no	—
922	C₂×D₄	—	43	2	no	—
923	C₂×D₄	—	43	2	no	—
924	C₂×D₄	—	43	2	no	—
925	C₂×D₄	—	43	1	no	—
926	C₂×D₄	—	86	4	no	—
927	C₂×D₄	—	86	8	no	—
928	C₂×D₄	C₂×C₄×D₄₃	1	2	yes	—
929	C₂×D₄	C₂×C₄×D₄₃	1	1	yes	characteristic
930	C₂²×C₄	—	43	1	no	—
931	C₂²×C₄	—	43	1	no	—
932	C₂²×C₄	—	43	1	no	—
933	C₂²×C₄	—	43	4	no	—
934	C₂²×C₄	—	43	4	no	—
935	C₂²×C₄	—	43	1	no	—
936	C₂²×C₄	—	43	1	no	—
937	C₂²×C₄	—	43	2	no	—
938	C₂²×C₄	—	43	2	no	—
939	C₂²×C₄	—	43	2	no	—
940	C₂²×C₄	—	43	1	no	—
941	C₂²×C₄	—	43	1	no	—
942	C₂²×C₄	—	43	2	no	—
943	C₂²×C₄	—	43	2	no	—
944	C₂²×C₄	—	43	2	no	—
945	C₂²×C₄	—	43	2	no	—
946	C₂²×C₄	—	43	2	no	—
947	C₂²×C₄	—	43	2	no	—
948	C₂²×C₄	—	43	2	no	—
949	C₂²×C₄	—	43	2	no	—
950	C₂²×C₄	—	43	2	no	—
951	C₂²×C₄	—	86	4	no	—
952	C₂²×C₄	—	86	4	no	—
953	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
954	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
955	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
956	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
957	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
958	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
959	M₁₆	—	2	2	no	—
960	M₁₆	—	2	2	no	—
961	M₁₆	—	86	2	no	—
962	M₁₆	—	86	2	no	—
963	M₁₆	—	86	2	no	—
964	M₁₆	—	86	2	no	—
965	M₁₆	—	86	4	no	—
966	M₁₆	—	86	4	no	—
967	M₁₆	—	86	2	no	—
968	M₁₆	—	86	2	no	—
969	C₂×C₈	—	2	2	no	—
970	C₂×C₈	—	2	2	no	—
971	C₂×C₈	—	43	1	no	—
972	C₂×C₈	—	43	2	no	—
973	C₂×C₈	—	43	1	no	—
974	C₂×C₈	—	43	2	no	—
975	C₂×C₈	—	43	1	no	—
976	C₂×C₈	—	43	1	no	—
977	C₂×C₈	—	86	2	no	—
978	C₂×C₈	—	86	2	no	—
979	C₂×C₈	—	86	2	no	—
980	C₂×C₈	—	86	2	no	—
981	C₂×C₈	—	86	4	no	—
982	C₂×C₈	—	86	4	no	—
983	C₂×C₈	—	86	2	no	—
984	C₂×C₈	—	86	2	no	—
985	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
986	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
987	C₂×C₈	C₂³×D₄₃	1	2	yes	—
988	C₂×C₈	C₂³×D₄₃	1	2	yes	—
989	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
990	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
991	C₄⋊C₄	—	43	2	no	—
992	C₄⋊C₄	—	43	2	no	—
993	C₄⋊C₄	—	43	1	no	—
994	C₄⋊C₄	—	43	1	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	—	43	1	no	—
1000	C₄⋊C₄	—	43	1	no	—
1001	C₄⋊C₄	—	43	2	no	—
1002	C₄⋊C₄	—	43	2	no	—
1003	C₄⋊C₄	—	43	2	no	—
1004	C₄⋊C₄	—	43	2	no	—
1005	C₄⋊C₄	—	43	2	no	—
1006	C₄⋊C₄	—	43	2	no	—
1007	C₄⋊C₄	—	43	1	no	—
1008	C₄⋊C₄	—	43	1	no	—
1009	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1010	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1011	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1012	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
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	1	no	—
1019	C₂²⋊C₄	—	43	1	no	—
1020	C₂²⋊C₄	—	43	1	no	—
1021	C₂²⋊C₄	—	43	1	no	—
1022	C₂²⋊C₄	—	43	1	no	—
1023	C₂²⋊C₄	—	43	1	no	—
1024	C₂²⋊C₄	—	43	2	no	—
1025	C₂²⋊C₄	—	43	2	no	—
1026	C₂²⋊C₄	—	43	1	no	—
1027	C₂²⋊C₄	—	43	1	no	—
1028	C₂²⋊C₄	—	43	2	no	—
1029	C₂²⋊C₄	—	43	2	no	—
1030	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1031	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1032	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
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	2	no	—
1040	C₄²	—	43	2	no	—
1041	C₄²	—	43	2	no	—
1042	C₄²	—	43	2	no	—
1043	C₄²	—	43	2	no	—
1044	C₄²	—	43	1	no	—
1045	C₄²	—	43	1	no	—
1046	C₄²	C₂×C₄×D₄₃	1	2	yes	—
1047	C₄²	C₂×C₄×D₄₃	1	2	yes	—
1048	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
1049	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
1050	C₄²	C₂³×D₄₃	1	2	yes	—
1051	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1052	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1053	C₂³	—	43	1	no	—
1054	C₂³	—	43	1	no	—
1055	C₂³	—	43	4	no	—
1056	C₂³	—	43	2	no	—
1057	C₂³	—	86	4	no	—
1058	C₂³	—	172	2	no	—
1059	C₂³	—	172	2	no	—
1060	C₂³	—	172	1	no	—
1061	C₂³	—	172	1	no	—
1062	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1063	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1064	Q₈	—	2	2	no	—
1065	Q₈	—	86	4	no	—
1066	Q₈	—	86	2	no	—
1067	D₄	—	2	4	no	—
1068	D₄	—	2	2	no	—
1069	D₄	—	86	4	no	—
1070	D₄	—	86	4	no	—
1071	D₄	—	86	4	no	—
1072	D₄	—	86	4	no	—
1073	D₄	—	86	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	4	1	no	—
1077	C₂×C₄	—	4	2	no	—
1078	C₂×C₄	—	4	1	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	43	4	no	—
1081	C₂×C₄	—	43	1	no	—
1082	C₂×C₄	—	43	1	no	—
1083	C₂×C₄	—	43	4	no	—
1084	C₂×C₄	—	43	4	no	—
1085	C₂×C₄	—	43	2	no	—
1086	C₂×C₄	—	43	2	no	—
1087	C₂×C₄	—	43	2	no	—
1088	C₂×C₄	—	43	2	no	—
1089	C₂×C₄	—	43	2	no	—
1090	C₂×C₄	—	43	1	no	—
1091	C₂×C₄	—	43	1	no	—
1092	C₂×C₄	—	43	2	no	—
1093	C₂×C₄	—	43	1	no	—
1094	C₂×C₄	—	43	1	no	—
1095	C₂×C₄	—	43	2	no	—
1096	C₂×C₄	—	86	4	no	—
1097	C₂×C₄	—	86	4	no	—
1098	C₂×C₄	—	86	4	no	—
1099	C₂×C₄	—	86	2	no	—
1100	C₂×C₄	—	86	2	no	—
1101	C₂×C₄	—	172	2	no	—
1102	C₂×C₄	—	172	2	no	—
1103	C₂×C₄	—	172	2	no	—
1104	C₂×C₄	—	172	2	no	—
1105	C₂×C₄	—	172	2	no	—
1106	C₂×C₄	—	172	2	no	—
1107	C₂×C₄	—	172	1	no	—
1108	C₂×C₄	—	172	2	no	—
1109	C₂×C₄	—	172	1	no	—
1110	C₂×C₄	—	172	2	no	—
1111	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1112	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1113	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1114	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1115	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1116	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1117	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1118	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1119	C₂×C₄	#41×D₄₃	1	2	yes	—
1120	C₂×C₄	#41×D₄₃	1	2	yes	—
1121	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1122	C₈	—	2	1	no	—
1123	C₈	—	2	1	no	—
1124	C₈	—	2	1	no	—
1125	C₈	—	2	1	no	—
1126	C₈	—	2	2	no	—
1127	C₈	—	2	2	no	—
1128	C₈	—	86	1	no	—
1129	C₈	—	86	1	no	—
1130	C₈	—	86	2	no	—
1131	C₈	—	86	2	no	—
1132	C₈	—	86	1	no	—
1133	C₈	—	86	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	2	no	—
1139	C₂²	—	43	2	no	—
1140	C₂²	—	43	2	no	—
1141	C₂²	—	86	1	no	—
1142	C₂²	—	86	1	no	—
1143	C₂²	—	86	1	no	—
1144	C₂²	—	86	1	no	—
1145	C₂²	—	86	2	no	—
1146	C₂²	—	86	2	no	—
1147	C₂²	—	86	2	no	—
1148	C₂²	—	344	4	no	—
1149	C₂²	—	172	4	no	—
1150	C₂²	#117×D₄₃	1	2	yes	—
1151	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1152	C₄	—	2	2	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	1	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	1	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	43	2	no	—
1160	C₄	—	43	2	no	—
1161	C₄	—	86	2	no	—
1162	C₄	—	86	2	no	—
1163	C₄	—	86	1	no	—
1164	C₄	—	86	1	no	—
1165	C₄	—	86	2	no	—
1166	C₄	—	86	1	no	—
1167	C₄	—	86	1	no	—
1168	C₄	#117×D₄₃	1	2	yes	—
1169	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1170	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1171	C₂	—	2	2	no	—
1172	C₂	—	4	2	no	—
1173	C₂	—	86	2	no	—
1174	C₂	—	86	2	no	—
1175	C₂	—	172	2	no	—
1176	C₂	C₂×#117×D₄₃	1	1	yes	characteristic
1177	C₂	#19149306	1	1	yes	characteristic
1178	C₂	#19149308	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2925	C₂
prime radical	C₂×#41×D₄₃	C₂²
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2925	D₄₃
hypocenter	C₄₃	#60126
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #2925

Complements

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

N	H ≅ G/N	type
2. #19143263	C₂	semidirect
3. #19143261	C₂	semidirect
4. #19143260	C₂	semidirect
5. #19143259	C₂	semidirect
6. #19143259	C₂	semidirect
7. #19143257	C₂	semidirect
8. #19143257	C₂	semidirect
9. #19143254	C₂	semidirect
10. #19143251	C₂	semidirect
11. #19143251	C₂	semidirect
12. #19143248	C₂	semidirect
13. #19143243	C₂	semidirect
14. #19143241	C₂	semidirect
15. #19143236	C₂	semidirect
16. #19143234	C₂	semidirect
17. #19143157	C₂	semidirect
18. C₂×#14582924	C₂	semidirect
21. #19143011	C₂	semidirect
22. #405×D₄₃	C₂	semidirect
23. C₄₃×#2925	C₂	semidirect
50. #14582961	C₂²	semidirect
51. #14582961	C₂²	semidirect
52. #14582960	C₂²	semidirect
53. #14582960	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
60. #14582957	C₂²	semidirect
61. #14582957	C₂²	semidirect
62. #14582957	C₂²	semidirect
63. #14582957	C₂²	semidirect
64. #14582956	C₂²	semidirect
65. #14582955	C₂²	semidirect
66. #14582955	C₂²	semidirect
67. #14582954	C₂²	semidirect
68. #14582954	C₂²	semidirect
69. #14582953	C₂²	semidirect
70. #14582953	C₂²	semidirect
71. #14582952	C₂²	semidirect
72. #14582951	C₂²	semidirect
73. #14582951	C₂²	semidirect
74. #14582950	C₂²	semidirect
75. #14582950	C₂²	semidirect
76. #14582949	C₂²	semidirect
77. #14582949	C₂²	semidirect
84. #14582924	C₂²	semidirect
85. #14582924	C₂²	semidirect
86. #14582924	C₂²	semidirect
87. #14582924	C₂²	semidirect
88. #14582924	C₂²	semidirect
89. #14582924	C₂²	semidirect
90. #14582923	C₂²	semidirect
91. #14582922	C₂²	semidirect
92. #14582922	C₂²	semidirect
93. C₂×C₄⋊(C₄₃⋊C₈)	C₂²	semidirect
94. C₂×Dic₄₃⋊C₈	C₂²	semidirect
95. C₂×Dic₄₃⋊C₈	C₂²	semidirect
110. #14582857	C₂²	semidirect
111. #14582857	C₂²	semidirect
114. #14582855	C₂²	semidirect
115. #14582855	C₂²	semidirect
116. #14582854	C₂²	semidirect
117. #14582854	C₂²	semidirect
120. #14582851	C₂²	semidirect
121. C₄×#10621872	C₂²	semidirect
122. #97×D₄₃	C₂²	semidirect
123. C₄×C₈×D₄₃	C₂²	semidirect
125. C₄₃×#433	C₂²	semidirect
126. C₄₃×#433	C₂²	semidirect
127. C₄₃×#432	C₂²	semidirect
128. C₄₃×#431	C₂²	semidirect
129. C₄₃×#423	C₂²	semidirect
130. C₂×C₄⋊C₈×C₄₃	C₂²	semidirect
133. C₄₃×#405	C₂²	semidirect
134. C₄₃×#405	C₂²	semidirect
590. #2925	D₄₃	semidirect
654. #433	C₂×D₄₃	semidirect
655. #433	C₂×D₄₃	semidirect
663. #432	C₂×D₄₃	semidirect
671. #431	C₂×D₄₃	semidirect
687. #423	C₂×D₄₃	semidirect
691. C₂×C₄⋊C₈	C₂×D₄₃	semidirect
718. #405	C₂×D₄₃	semidirect
719. #405	C₂×D₄₃	semidirect
724. C₄₃	#60126	semidirect

Maximal subgroups

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

subgroup	index
#19147794	2
#19143263	2
#19143261	2
#19143260	2
#19143259	2
#19143257	2
#19143254	2
#19143251	2
#19143248	2
#19143243	2
#19143241	2
#19143236	2
#19143234	2
#19143157	2
C₂×#14582924	2
#19143037	2
#408×D₄₃	2
#19143011	2
#405×D₄₃	2
C₄₃×#2925	2
#60126	43