Subgroups — #25961252

Order 11008.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148149	C₂	1	1	yes	maximal, characteristic
2	#19143610	C₂	1	2	yes	maximal, complemented
3	#19143599	C₂	1	2	yes	maximal, complemented
4	#19143585	C₂	1	2	yes	maximal, complemented
5	#19143585	C₂	1	2	yes	maximal, complemented
6	#19143580	C₂	1	2	yes	maximal, complemented
7	#19143576	C₂	1	2	yes	maximal, complemented
8	#19143566	C₂	1	2	yes	maximal, complemented
9	#19143557	C₂	1	2	yes	maximal, complemented
10	#19143539	C₂	1	1	yes	maximal, characteristic, complemented
11	#19143533	C₂	1	1	yes	maximal, characteristic, complemented
12	M₁₆×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#19143323	C₂	1	1	yes	maximal, characteristic, complemented
14	#19143320	C₂	1	1	yes	maximal, characteristic, complemented
15	#19143298	C₂	1	1	yes	maximal, characteristic, complemented
16	#19143291	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#14582968	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143259	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143253	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143250	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143022	C₂	1	1	yes	maximal, characteristic, complemented
22	#405×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#2873	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063333	C₂²	1	1	yes	characteristic
25	C₂×#13063331	C₂²	1	1	yes	characteristic
26	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
28	#14583617	C₄	1	1	yes	characteristic
29	#14583612	C₄	1	1	yes	characteristic
30	#14583604	C₄	1	1	yes	characteristic
31	#14583597	C₄	1	1	yes	characteristic
32	#14583593	C₄	1	1	yes	characteristic
33	#14583588	C₄	1	1	yes	characteristic
34	#14583584	C₄	1	1	yes	characteristic
35	#14583582	C₄	1	2	yes	—
36	#14583575	C₄	1	2	yes	—
37	#14583573	C₄	1	2	yes	—
38	#14583550	C₄	1	1	yes	characteristic
39	#14583539	C₄	1	2	yes	—
40	#14583452	C₂²	1	1	yes	characteristic
41	#14583433	C₂²	1	2	yes	—
42	#14583427	C₂²	1	2	yes	—
43	#14583427	C₂²	1	2	yes	—
44	#14583411	C₂²	1	1	yes	characteristic
45	#14583410	C₂²	1	1	yes	characteristic
46	C₄×#10621898	C₂²	1	2	yes	—
47	#14583367	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
49	#117×D₄₃	C₂²	1	1	yes	characteristic
50	#14583029	C₂²	1	2	yes	complemented
51	#14583029	C₂²	1	2	yes	complemented
52	#14583029	C₂²	1	2	yes	complemented
53	#14583027	C₂²	1	2	yes	complemented
54	#14583027	C₂²	1	2	yes	complemented
55	#14583027	C₂²	1	2	yes	complemented
56	#14583027	C₂²	1	2	yes	complemented
57	C₈×Dic₈₆	C₂²	1	2	yes	complemented
58	#14582978	C₂²	1	2	yes	complemented
59	#14582975	C₂²	1	2	yes	—
60	#14582975	C₂²	1	2	yes	complemented
61	#14582975	C₂²	1	2	yes	complemented
62	#14582975	C₂²	1	2	yes	complemented
63	#14582972	C₂²	1	2	yes	complemented
64	#14582972	C₂²	1	2	yes	complemented
65	#14582972	C₂²	1	2	yes	complemented
66	#14582972	C₂²	1	2	yes	complemented
67	#14582970	C₂²	1	2	yes	—
68	#14582970	C₂²	1	2	yes	complemented
69	#14582968	C₂²	1	1	yes	characteristic
70	#14582968	C₂²	1	1	yes	characteristic
71	#14582968	C₂²	1	1	yes	characteristic
72	#14582968	C₂²	1	1	yes	characteristic
73	#14582968	C₂²	1	1	yes	characteristic
74	#14582968	C₂²	1	1	yes	characteristic
75	#14582968	C₂²	1	1	yes	characteristic
76	#14582968	C₂²	1	1	yes	characteristic
77	#14582968	C₂²	1	2	yes	—
78	#14582968	C₂²	1	2	yes	complemented
79	#14582968	C₂²	1	2	yes	complemented
80	#14582968	C₂²	1	2	yes	complemented
81	C₈×D₁₇₂	C₂²	1	2	yes	complemented
82	C₈×D₁₇₂	C₂²	1	2	yes	complemented
83	C₈×D₁₇₂	C₂²	1	2	yes	complemented
84	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	—
85	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
86	#14582961	C₂²	1	2	yes	complemented
87	#14582961	C₂²	1	2	yes	complemented
88	#14582960	C₂²	1	2	yes	complemented
89	#14582960	C₂²	1	2	yes	complemented
90	#14582958	C₂²	1	2	yes	complemented
91	#14582958	C₂²	1	2	yes	complemented
92	#14582956	C₂²	1	2	yes	complemented
93	#14582954	C₂²	1	2	yes	complemented
94	#14582954	C₂²	1	2	yes	complemented
95	#14582952	C₂²	1	2	yes	complemented
96	#14582950	C₂²	1	2	yes	complemented
97	#14582950	C₂²	1	2	yes	complemented
98	#14582927	C₂²	1	1	yes	characteristic
99	#14582926	C₂²	1	1	yes	characteristic
100	#14582926	C₂²	1	1	yes	characteristic
101	#14582925	C₂²	1	1	yes	characteristic
102	#14582922	C₂²	1	1	yes	characteristic
103	C₂×Dic₄₃⋊C₈	C₂²	1	1	yes	characteristic
104	#14582867	C₂²	1	1	yes	characteristic
105	#14582865	C₂²	1	1	yes	characteristic
106	#14582863	C₂²	1	1	yes	characteristic
107	#14582862	C₂²	1	1	yes	characteristic
108	C₂×C₂²⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
109	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	1	yes	characteristic
110	#14582857	C₂²	1	1	yes	characteristic
111	#14582856	C₂²	1	2	yes	complemented
112	#14582856	C₂²	1	2	yes	complemented
113	#14582855	C₂²	1	1	yes	characteristic
114	#14582855	C₂²	1	1	yes	characteristic
115	#14582854	C₂²	1	1	yes	characteristic
116	#14582853	C₂²	1	2	yes	complemented
117	#14582853	C₂²	1	2	yes	complemented
118	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic
119	C₄×#10621872	C₂²	1	2	yes	complemented
120	C₂×#13063235	C₂²	1	1	yes	characteristic
121	#97×D₄₃	C₂²	1	2	yes	complemented
122	#97×D₄₃	C₂²	1	2	yes	complemented
123	C₄×C₈×D₄₃	C₂²	1	2	yes	complemented
124	C₂²×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
125	C₂²×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
126	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
127	C₄₃×#405	C₂²	1	1	yes	characteristic
128	C₄₃×#405	C₂²	1	1	yes	characteristic
129	C₄₃×#405	C₂²	1	1	yes	characteristic
130	C₄₃×#405	C₂²	1	1	yes	characteristic
131	C₄₃×#405	C₂²	1	2	yes	complemented
132	C₄₃×#405	C₂²	1	2	yes	complemented
133	C₄×M₁₆×C₄₃	C₂²	1	2	yes	complemented
134	C₄×M₁₆×C₄₃	C₂²	1	2	yes	complemented
135	C₂×#10621898	C₂×C₄	1	2	yes	—
136	C₂×#10621898	C₂³	1	1	yes	characteristic
137	C₂²×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
138	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
139	#13063333	—	2	4	no	—
140	#13063331	—	2	4	no	—
141	C₂×#10621877	C₂³	1	1	yes	characteristic
142	C₂×#10621877	C₂³	1	1	yes	characteristic
143	C₂×#10621872	C₂³	1	2	yes	—
144	C₂×#10621872	C₂³	1	2	yes	—
145	C₂×#10621872	C₂³	1	2	yes	—
146	M₁₆×D₄₃	—	2	4	no	—
147	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
148	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
149	C₂×C₈×D₄₃	—	2	4	no	—
150	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
151	C₂×C₈×D₄₃	C₂³	1	2	yes	—
152	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
153	C₂×C₈×D₄₃	C₂³	1	2	yes	—
154	C₂×C₈×D₄₃	C₂³	1	2	yes	—
155	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
157	#13063324	C₂×C₄	1	1	yes	characteristic
158	#13063324	C₂×C₄	1	1	yes	characteristic
159	#13063320	C₂×C₄	1	2	yes	—
160	#13063320	C₂×C₄	1	2	yes	—
161	#13063319	C₂×C₄	1	2	yes	—
162	#13063319	C₂×C₄	1	2	yes	—
163	#13063318	C₂×C₄	1	2	yes	—
164	#13063318	C₂×C₄	1	2	yes	—
165	#13063317	C₂×C₄	1	2	yes	—
166	#13063316	C₂×C₄	1	1	yes	characteristic
167	#13063316	C₂×C₄	1	1	yes	characteristic
168	#13063315	C₂×C₄	1	2	yes	—
169	#13063315	C₂×C₄	1	2	yes	—
170	#13063313	C₂×C₄	1	2	yes	—
171	#13063311	C₂×C₄	1	2	yes	—
172	#13063311	C₂×C₄	1	2	yes	—
173	#13063310	C₂×C₄	1	2	yes	—
174	#13063310	C₂×C₄	1	2	yes	—
175	#13063309	C₂×C₄	1	2	yes	—
176	#13063308	C₂×C₄	1	2	yes	—
177	#13063308	C₂×C₄	1	2	yes	—
178	#13063308	C₂×C₄	1	2	yes	—
179	#13063307	C₂×C₄	1	2	yes	—
180	#13063307	C₂×C₄	1	2	yes	—
181	#13063305	C₂×C₄	1	1	yes	characteristic
182	#13063305	C₂×C₄	1	1	yes	characteristic
183	#13063304	C₂×C₄	1	2	yes	—
184	#13063304	C₂×C₄	1	1	yes	characteristic
185	#13063304	C₂×C₄	1	1	yes	characteristic
186	#13063303	C₂×C₄	1	2	yes	—
187	#13063303	C₂×C₄	1	2	yes	—
188	#13063302	C₂×C₄	1	2	yes	—
189	#13063302	C₂×C₄	1	2	yes	—
190	#13063300	C₂×C₄	1	1	yes	characteristic
191	#13063300	C₂×C₄	1	1	yes	characteristic
192	#13063299	C₂×C₄	1	1	yes	characteristic
193	#13063299	C₂×C₄	1	1	yes	characteristic
194	#13063299	C₂×C₄	1	2	yes	—
195	#13063298	C₂×C₄	1	2	yes	—
196	#13063298	C₂×C₄	1	2	yes	—
197	#13063295	C₂×C₄	1	2	yes	—
198	#13063294	C₂×C₄	1	2	yes	—
199	C₄×Dic₈₆	C₂×C₄	1	2	yes	—
200	C₄×Dic₈₆	C₂³	1	2	yes	—
201	C₄×Dic₈₆	C₂³	1	2	yes	—
202	#13063290	C₂×C₄	1	1	yes	characteristic
203	#13063290	C₂×C₄	1	1	yes	characteristic
204	C₄×D₁₇₂	C₂×C₄	1	2	yes	—
205	C₄×D₁₇₂	C₂³	1	2	yes	—
206	C₄×D₁₇₂	C₂³	1	2	yes	—
207	#13063287	C₂×C₄	1	1	yes	characteristic
208	#13063287	C₂×C₄	1	1	yes	characteristic
209	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
210	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
211	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
212	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
213	C₄×C₂²⋊D₄₃	C₂×C₄	1	2	yes	—
214	C₄×C₂²⋊D₄₃	C₂×C₄	1	1	yes	characteristic
215	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
216	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
217	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
218	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
219	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
220	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
221	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
222	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	2	yes	—
223	#13063284	C₂×C₄	1	2	yes	—
224	#13063284	C₂³	1	1	yes	characteristic
225	#13063283	C₂×C₄	1	1	yes	characteristic
226	#13063283	C₂×C₄	1	1	yes	characteristic
227	#13063282	C₂×C₄	1	2	yes	—
228	#13063282	C₂×C₄	1	2	yes	—
229	#13063282	C₂³	1	2	yes	—
230	#13063282	C₂³	1	2	yes	—
231	#13063281	C₂×C₄	1	2	yes	—
232	C₂×Dic₄₃⋊C₄	C₂×C₄	1	1	yes	characteristic
233	C₄⋊C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
234	C₄⋊C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₄₃	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	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
248	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
249	Dic₄₃⋊C₈	C₂³	1	2	yes	—
250	Dic₄₃⋊C₈	C₂³	1	2	yes	—
251	Dic₄₃⋊C₈	C₂³	1	2	yes	—
252	Dic₄₃⋊C₈	C₂³	1	2	yes	—
253	Dic₄₃⋊C₈	C₂³	1	2	yes	—
254	Dic₄₃⋊C₈	C₂³	1	2	yes	—
255	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
256	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
257	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
258	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
259	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
260	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
261	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
262	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
263	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
264	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
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	2	yes	—
276	#13063235	C₂³	1	2	yes	—
277	#13063235	C₂³	1	1	yes	characteristic
278	#13063235	C₂³	1	1	yes	characteristic
279	#13063235	C₂³	1	1	yes	characteristic
280	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
281	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
282	C₈×Dic₄₃	C₂³	1	2	yes	—
283	C₈×Dic₄₃	C₂³	1	2	yes	—
284	C₈×Dic₄₃	C₂³	1	2	yes	—
285	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
286	C₂×M₁₆×C₄₃	—	2	4	no	—
287	C₂×M₁₆×C₄₃	—	2	4	no	—
288	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
289	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
290	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
291	C₂×M₁₆×C₄₃	C₂³	1	2	yes	—
292	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
293	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
294	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
295	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
296	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
297	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
298	#117×C₄₃	C₂×C₄	1	2	yes	—
299	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
300	#117×C₄₃	C₂×C₄	1	1	yes	characteristic
301	#117×C₄₃	C₂³	1	1	yes	characteristic
302	#117×C₄₃	C₂³	1	1	yes	characteristic
303	#117×C₄₃	C₂³	1	2	yes	—
304	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
305	C₂×C₄⋊C₄×C₄₃	C₂×C₄	1	1	yes	characteristic
306	C₂×C₂²⋊C₄×C₄₃	C₂×C₄	1	2	yes	—
307	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
308	#97×C₄₃	C₂³	1	2	yes	—
309	#97×C₄₃	C₂³	1	2	yes	—
310	#97×C₄₃	C₂³	1	2	yes	—
311	#97×C₄₃	C₂³	1	2	yes	—
312	C₄×C₈×C₄₃	C₂³	1	2	yes	—
313	C₄×C₈×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	1	yes	characteristic
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	—	4	2	no	—
329	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
330	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
331	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
332	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
333	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₃	C₂²×C₄	1	1	yes	characteristic
335	C₂×C₂²⋊D₄₃	C₂²×C₄	1	2	yes	—
336	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
337	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
338	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
339	#10621898	—	2	2	no	—
340	#10621898	—	2	2	no	—
341	#10621898	—	4	4	no	—
342	C₂×D₁₇₂	C₂²×C₄	1	1	yes	characteristic
343	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
344	C₂×D₁₇₂	C₂²×C₄	1	2	yes	—
345	C₂×C₄×D₄₃	—	2	2	no	—
346	C₂×C₄×D₄₃	—	2	2	no	—
347	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
348	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
349	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
350	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
351	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
352	C₂×C₄×D₄₃	C₂²×C₄	1	2	yes	—
353	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
354	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
355	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
356	C₂×Dic₈₆	C₂²×C₄	1	1	yes	characteristic
357	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
358	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
359	M₁₆×C₄₃	—	2	2	no	—
360	M₁₆×C₄₃	—	2	2	no	—
361	M₁₆×C₄₃	—	2	2	no	—
362	M₁₆×C₄₃	—	2	4	no	—
363	M₁₆×C₄₃	—	2	2	no	—
364	M₁₆×C₄₃	—	2	2	no	—
365	M₁₆×C₄₃	#41	1	4	yes	complemented
366	C₂×C₈×C₄₃	—	2	2	no	—
367	C₂×C₈×C₄₃	—	2	4	no	—
368	C₂×C₈×C₄₃	#41	1	4	yes	complemented
369	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
371	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
373	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
376	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
377	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
378	C₄⋊C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
379	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
380	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
381	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
382	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
383	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
384	C₂²⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
385	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
386	C₄²×C₄₃	C₂²×C₄	1	2	yes	—
387	C₄²×C₄₃	C₂⁴	1	2	yes	—
388	C₄²×C₄₃	C₂⁴	1	2	yes	—
389	C₂²⋊Dic₄₃	C₂²×C₄	1	2	yes	—
390	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
391	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
392	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
393	C₂²⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
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	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	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	2	yes	—
410	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
411	C₄⋊Dic₄₃	C₂²×C₄	1	1	yes	characteristic
412	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
413	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
414	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
415	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
416	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
417	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
418	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
419	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
420	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
421	Dic₄₃⋊C₄	C₂²×C₄	1	1	yes	characteristic
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	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
426	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
427	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
428	Dic₄₃⋊C₄	C₂²×C₄	1	2	yes	—
429	Dic₄₃⋊C₄	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	1	yes	characteristic
435	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
436	C₄×Dic₄₃	C₂⁴	1	2	yes	—
437	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
438	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
439	#10621877	—	2	2	no	—
440	#10621877	—	2	2	no	—
441	C₂×C₄₃⋊C₈	—	2	2	no	—
442	C₂×C₄₃⋊C₈	—	2	2	no	—
443	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
444	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
445	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
446	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
447	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
448	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
449	#10621872	—	2	4	no	—
450	#10621872	—	2	4	no	—
451	#10621872	—	2	4	no	—
452	C₈×D₄₃	—	2	2	no	—
453	C₈×D₄₃	—	2	2	no	—
454	C₈×D₄₃	—	2	2	no	—
455	C₈×D₄₃	—	2	2	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	2	no	—
466	C₂²×D₄₃	—	2	2	no	—
467	C₂²×D₄₃	—	4	1	no	—
468	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
469	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
470	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
471	C₂×C₄×C₄₃	—	2	2	no	—
472	C₂×C₄×C₄₃	—	2	2	no	—
473	C₂×C₄×C₄₃	—	2	2	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	—	2	1	no	—
478	C₂×C₄×C₄₃	—	4	2	no	—
479	C₂×C₄×C₄₃	—	4	2	no	—
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	1	yes	characteristic
483	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
484	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
485	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
486	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
487	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
488	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
489	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
490	C₂²⋊D₄₃	—	2	4	no	—
491	C₂²⋊D₄₃	—	2	2	no	—
492	C₂²⋊D₄₃	—	2	2	no	—
493	C₂²⋊D₄₃	—	4	2	no	—
494	C₂²⋊D₄₃	—	4	1	no	—
495	C₂²⋊D₄₃	—	4	1	no	—
496	C₂²⋊D₄₃	—	4	2	no	—
497	C₂×Dic₄₃	—	2	2	no	—
498	C₂×Dic₄₃	—	4	1	no	—
499	C₂×Dic₄₃	—	4	1	no	—
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	2	yes	—
504	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
505	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
506	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
507	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
508	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
509	D₁₇₂	—	2	4	no	—
510	D₁₇₂	—	2	2	no	—
511	D₁₇₂	—	4	2	no	—
512	C₄×D₄₃	—	2	4	no	—
513	C₄×D₄₃	—	2	2	no	—
514	C₄×D₄₃	—	2	2	no	—
515	C₄×D₄₃	—	2	1	no	—
516	C₄×D₄₃	—	2	1	no	—
517	C₄×D₄₃	—	2	1	no	—
518	C₄×D₄₃	—	2	2	no	—
519	C₄×D₄₃	—	2	2	no	—
520	C₄×D₄₃	—	2	1	no	—
521	C₄×D₄₃	—	4	2	no	—
522	C₄×D₄₃	—	4	2	no	—
523	C₄×D₄₃	—	4	2	no	—
524	Dic₈₆	—	2	2	no	—
525	Dic₈₆	—	4	2	no	—
526	Dic₈₆	—	4	2	no	—
527	C₈×C₄₃	—	2	1	no	—
528	C₈×C₄₃	—	2	1	no	—
529	C₈×C₄₃	—	2	2	no	—
530	C₈×C₄₃	C₂×#41	1	2	yes	—
531	C₈×C₄₃	C₂×#41	1	4	yes	—
532	C₈×C₄₃	C₂×#41	1	2	yes	—
533	C₄₃⋊C₈	—	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	#60216	—	43	1	no	maximal, Sylow
540	C₂²×C₄₃	—	2	1	no	—
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	—	8	2	no	—
549	C₂²×C₄₃	C₄×#41	1	2	yes	—
550	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
551	C₂×D₄₃	—	2	1	no	—
552	C₂×D₄₃	—	2	1	no	—
553	C₂×D₄₃	—	2	1	no	—
554	C₂×D₄₃	—	2	2	no	—
555	C₂×D₄₃	—	2	1	no	—
556	C₂×D₄₃	—	2	2	no	—
557	C₂×D₄₃	—	2	1	no	—
558	C₂×D₄₃	—	2	2	no	—
559	C₂×D₄₃	—	4	4	no	—
560	C₂×D₄₃	#568	1	2	yes	—
561	C₄×C₄₃	—	2	1	no	—
562	C₄×C₄₃	—	2	1	no	—
563	C₄×C₄₃	—	2	2	no	—
564	C₄×C₄₃	—	2	2	no	—
565	C₄×C₄₃	—	2	2	no	—
566	C₄×C₄₃	—	2	2	no	—
567	C₄×C₄₃	C₄×#41	1	2	yes	—
568	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
569	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
570	Dic₄₃	—	2	2	no	—
571	Dic₄₃	—	2	1	no	—
572	Dic₄₃	—	2	1	no	—
573	Dic₄₃	—	2	1	no	—
574	Dic₄₃	—	2	2	no	—
575	Dic₄₃	—	2	1	no	—
576	Dic₄₃	—	2	1	no	—
577	Dic₄₃	—	2	2	no	—
578	Dic₄₃	—	2	1	no	—
579	#3475	—	43	1	no	—
580	#2970	—	43	2	no	—
581	#2969	—	43	2	no	—
582	#2968	—	43	2	no	—
583	#2968	—	43	2	no	—
584	#2967	—	43	2	no	—
585	#2967	—	43	2	no	—
586	#2966	—	43	2	no	—
587	#2965	—	43	2	no	—
588	#2962	—	43	1	no	—
589	#2961	—	43	1	no	—
590	D₄×M₁₆	—	43	1	no	—
591	#2933	—	43	1	no	—
592	#2933	—	43	1	no	—
593	#2930	—	43	1	no	—
594	#2929	—	43	1	no	—
595	C₂×#435	—	43	1	no	—
596	#2925	—	43	1	no	—
597	#2924	—	43	1	no	—
598	#2924	—	43	1	no	—
599	#2875	—	43	1	no	—
600	#2873	D₄₃	1	1	yes	characteristic, complemented
601	C₂×#405	—	43	1	no	—
602	C₂×C₄₃	—	2	2	no	—
603	C₂×C₄₃	—	4	1	no	—
604	C₂×C₄₃	—	4	1	no	—
605	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
606	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
607	C₂×C₄₃	#3573	1	1	yes	characteristic
608	D₄₃	—	2	2	no	—
609	D₄₃	—	4	2	no	—
610	D₄₃	—	4	1	no	—
611	C₂×#131	—	43	1	no	—
612	C₂×#131	—	43	1	no	—
613	C₂²×M₁₆	—	43	1	no	—
614	C₂²×M₁₆	C₂×D₄₃	1	1	yes	characteristic
615	C₂²×M₁₆	C₂×D₄₃	1	1	yes	characteristic
616	C₂³×C₈	—	43	1	no	—
617	#556	—	43	1	no	—
618	#555	—	43	1	no	—
619	#554	—	43	1	no	—
620	#553	—	43	1	no	—
621	#553	—	43	1	no	—
622	#552	—	43	2	no	—
623	#552	—	43	1	no	—
624	#552	—	43	1	no	—
625	#551	—	43	2	no	—
626	#551	—	43	2	no	—
627	#547	—	43	1	no	—
628	#546	—	43	2	no	—
629	#533	—	43	1	no	—
630	#529	—	43	2	no	—
631	#529	—	43	2	no	—
632	#529	—	43	2	no	—
633	#525	—	43	1	no	—
634	#525	—	43	1	no	—
635	C₄×#41	—	43	1	no	—
636	C₄×#41	—	43	2	no	—
637	C₂×C₄×D₄	—	43	1	no	—
638	C₂×#117	—	43	1	no	—
639	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
640	#446	—	43	2	no	—
641	#446	—	43	2	no	—
642	#446	—	43	2	no	—
643	#446	—	43	2	no	—
644	#446	—	43	2	no	—
645	#446	—	43	2	no	—
646	#446	—	43	2	no	—
647	C₈×Q₈	—	43	2	no	—
648	#436	—	43	2	no	—
649	#436	—	43	2	no	—
650	#436	—	43	2	no	—
651	#436	—	43	2	no	—
652	#436	—	43	2	no	—
653	#435	—	43	1	no	—
654	#435	—	43	1	no	—
655	#435	—	43	1	no	—
656	#435	—	43	1	no	—
657	#435	—	43	1	no	—
658	#435	—	43	1	no	—
659	#435	—	43	1	no	—
660	#435	—	43	1	no	—
661	#435	—	43	2	no	—
662	#435	—	43	2	no	—
663	#435	—	43	2	no	—
664	#435	—	43	2	no	—
665	#435	—	43	2	no	—
666	#435	—	43	2	no	—
667	#435	—	43	2	no	—
668	#435	—	43	2	no	—
669	#435	—	43	2	no	—
670	#435	—	43	2	no	—
671	C₈×D₄	—	43	2	no	—
672	C₈×D₄	—	43	2	no	—
673	C₈×D₄	—	43	2	no	—
674	C₈×D₄	—	43	2	no	—
675	C₈×D₄	—	43	2	no	—
676	#433	—	43	2	no	—
677	#433	—	43	2	no	—
678	#433	—	43	2	no	—
679	#433	—	43	2	no	—
680	#433	—	43	2	no	—
681	#433	—	43	2	no	—
682	#432	—	43	2	no	—
683	#432	—	43	2	no	—
684	#432	—	43	2	no	—
685	#431	—	43	2	no	—
686	#431	—	43	2	no	—
687	#431	—	43	2	no	—
688	#424	—	43	1	no	—
689	#424	—	43	1	no	—
690	#424	—	43	1	no	—
691	#424	—	43	1	no	—
692	#423	—	43	1	no	—
693	C₂×C₄⋊C₈	—	43	1	no	—
694	#408	—	43	1	no	—
695	#408	—	43	1	no	—
696	#407	—	43	1	no	—
697	#407	—	43	1	no	—
698	C₂×C₂²⋊C₈	—	43	1	no	—
699	C₂×C₂²⋊C₈	—	43	1	no	—
700	#405	—	43	1	no	—
701	#405	—	43	1	no	—
702	#405	—	43	1	no	—
703	#405	—	43	1	no	—
704	#405	—	43	2	no	—
705	#405	—	43	2	no	—
706	#405	—	43	2	no	—
707	#405	—	43	2	no	—
708	#405	C₂×D₄₃	1	1	yes	characteristic
709	#405	C₂×D₄₃	1	1	yes	characteristic
710	#405	C₂×D₄₃	1	1	yes	characteristic
711	#405	C₂×D₄₃	1	1	yes	characteristic
712	#405	C₂×D₄₃	1	2	yes	complemented
713	#405	C₂×D₄₃	1	2	yes	complemented
714	C₄×M₁₆	—	43	1	no	—
715	C₄×M₁₆	—	43	2	no	—
716	C₄×M₁₆	C₂×D₄₃	1	2	yes	complemented
717	C₄×M₁₆	C₂×D₄₃	1	2	yes	complemented
718	C₂×#97	—	43	1	no	—
719	C₂×#97	—	43	2	no	—
720	C₂×#97	—	43	2	no	—
721	C₂×C₄×C₈	—	43	2	no	—
722	C₄₃	#60216	1	1	yes	characteristic, complemented, Sylow
723	C₂×#41	—	43	2	no	—
724	C₂×#41	—	43	1	no	—
725	C₂²×D₄	—	43	1	no	—
726	C₂³×C₄	—	43	1	no	—
727	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
728	#131	—	86	4	no	—
729	#131	—	86	4	no	—
730	C₂×M₁₆	—	2	4	no	—
731	C₂×M₁₆	—	2	4	no	—
732	C₂×M₁₆	—	43	1	no	—
733	C₂×M₁₆	—	43	1	no	—
734	C₂×M₁₆	—	43	2	no	—
735	C₂×M₁₆	—	43	2	no	—
736	C₂×M₁₆	—	43	2	no	—
737	C₂×M₁₆	—	86	4	no	—
738	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
739	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
740	C₂×M₁₆	C₂²×D₄₃	1	2	yes	—
741	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
742	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
743	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
744	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
745	C₂²×C₈	—	43	1	no	—
746	C₂²×C₈	—	43	1	no	—
747	C₂²×C₈	—	43	1	no	—
748	C₂²×C₈	—	43	1	no	—
749	C₂²×C₈	—	43	1	no	—
750	C₂²×C₈	—	43	1	no	—
751	C₂²×C₈	—	43	2	no	—
752	C₂²×C₈	—	43	2	no	—
753	C₂²×C₈	—	43	2	no	—
754	C₂²×C₈	—	86	4	no	—
755	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
756	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
757	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
758	C₄⋊Q₈	—	43	1	no	—
759	C₄⋊Q₈	—	43	1	no	—
760	#126	—	43	2	no	—
761	#126	—	43	2	no	—
762	#126	—	43	2	no	—
763	#126	—	43	2	no	—
764	#126	—	43	2	no	—
765	#126	—	43	2	no	—
766	#125	—	43	2	no	—
767	#125	—	43	2	no	—
768	#125	—	43	1	no	—
769	#125	—	43	1	no	—
770	#125	—	43	2	no	—
771	#124	—	43	2	no	—
772	#124	—	43	2	no	—
773	#124	—	43	2	no	—
774	#123	—	43	2	no	—
775	#123	—	43	2	no	—
776	#123	—	43	2	no	—
777	#123	—	43	2	no	—
778	#123	—	43	2	no	—
779	#123	—	43	2	no	—
780	#123	—	43	2	no	—
781	#123	—	43	2	no	—
782	C₂²⋊Q₈	—	43	1	no	—
783	C₂²⋊Q₈	—	43	1	no	—
784	C₂²⋊Q₈	—	43	2	no	—
785	C₂²⋊Q₈	—	43	1	no	—
786	C₂²⋊Q₈	—	43	1	no	—
787	C₂²⋊Q₈	—	43	2	no	—
788	C₂²⋊Q₈	—	43	2	no	—
789	C₂²⋊Q₈	—	43	2	no	—
790	C₂²⋊Q₈	—	43	2	no	—
791	#121	—	43	1	no	—
792	#121	—	43	1	no	—
793	#121	—	43	2	no	—
794	#121	—	43	1	no	—
795	#121	—	43	1	no	—
796	#121	—	43	2	no	—
797	#121	—	43	2	no	—
798	#120	—	43	2	no	—
799	#120	—	43	2	no	—
800	C₄×Q₈	—	43	1	no	—
801	C₄×Q₈	—	43	1	no	—
802	C₄×Q₈	—	43	2	no	—
803	C₄×Q₈	—	43	2	no	—
804	C₄×Q₈	—	43	2	no	—
805	C₄×D₄	—	43	1	no	—
806	C₄×D₄	—	43	1	no	—
807	C₄×D₄	—	43	1	no	—
808	C₄×D₄	—	43	1	no	—
809	C₄×D₄	—	43	2	no	—
810	C₄×D₄	—	43	2	no	—
811	C₄×D₄	—	43	1	no	—
812	C₄×D₄	—	43	1	no	—
813	C₄×D₄	—	43	1	no	—
814	C₄×D₄	—	43	1	no	—
815	C₄×D₄	—	43	2	no	—
816	C₄×D₄	—	43	2	no	—
817	C₄×D₄	—	43	1	no	—
818	C₄×D₄	—	43	1	no	—
819	C₄×D₄	—	43	2	no	—
820	C₄×D₄	—	43	2	no	—
821	C₄×D₄	—	43	2	no	—
822	C₄×D₄	—	43	2	no	—
823	C₄×D₄	—	43	2	no	—
824	#117	—	43	2	no	—
825	#117	—	43	1	no	—
826	#117	—	43	1	no	—
827	#117	—	43	1	no	—
828	#117	—	43	2	no	—
829	#117	—	43	2	no	—
830	#117	—	43	2	no	—
831	#117	—	43	2	no	—
832	#117	—	43	2	no	—
833	#117	C₄×D₄₃	1	2	yes	—
834	#117	C₄×D₄₃	1	1	yes	characteristic
835	#117	C₄×D₄₃	1	1	yes	characteristic
836	#117	C₂²×D₄₃	1	1	yes	characteristic
837	#117	C₂²×D₄₃	1	1	yes	characteristic
838	#117	C₂²×D₄₃	1	2	yes	—
839	C₂×C₄⋊C₄	—	43	1	no	—
840	C₂×C₄⋊C₄	—	43	1	no	—
841	C₂×C₄⋊C₄	—	43	1	no	—
842	C₂×C₄⋊C₄	C₄×D₄₃	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₄×D₄₃	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	—	43	1	no	—
845	C₂×C₂²⋊C₄	—	43	1	no	—
846	C₂×C₂²⋊C₄	—	43	2	no	—
847	C₂×C₂²⋊C₄	C₄×D₄₃	1	2	yes	—
848	C₂×C₄²	—	43	1	no	—
849	C₂×C₄²	—	43	2	no	—
850	C₂×C₄²	—	43	2	no	—
851	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
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	2	no	—
857	C₄⋊C₈	—	43	2	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	2	no	—
863	C₄⋊C₈	—	43	2	no	—
864	C₄⋊C₈	—	43	2	no	—
865	C₄⋊C₈	—	43	2	no	—
866	C₂²⋊C₈	—	43	1	no	—
867	C₂²⋊C₈	—	43	1	no	—
868	C₂²⋊C₈	—	43	1	no	—
869	C₂²⋊C₈	—	43	1	no	—
870	C₂²⋊C₈	—	43	2	no	—
871	C₂²⋊C₈	—	43	2	no	—
872	C₂²⋊C₈	—	43	1	no	—
873	C₂²⋊C₈	—	43	1	no	—
874	C₂²⋊C₈	—	43	1	no	—
875	C₂²⋊C₈	—	43	1	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	#97	—	43	1	no	—
883	#97	—	43	2	no	—
884	#97	—	43	1	no	—
885	#97	—	43	2	no	—
886	#97	—	43	1	no	—
887	#97	—	43	2	no	—
888	#97	—	43	1	no	—
889	#97	—	43	2	no	—
890	#97	—	43	2	no	—
891	#97	C₂²×D₄₃	1	2	yes	—
892	#97	C₂²×D₄₃	1	2	yes	—
893	#97	C₂²×D₄₃	1	2	yes	—
894	#97	C₂²×D₄₃	1	2	yes	—
895	C₄×C₈	—	43	2	no	—
896	C₄×C₈	—	43	2	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	C₄×C₈	C₂²×D₄₃	1	2	yes	—
903	C₄×C₈	C₂²×D₄₃	1	2	yes	—
904	C₂⁴	—	43	1	no	—
905	C₂⁴	C₂×C₄×D₄₃	1	1	yes	characteristic
906	#41	—	86	2	no	—
907	#41	—	86	2	no	—
908	#41	—	172	4	no	—
909	C₂×Q₈	—	43	1	no	—
910	C₂×Q₈	—	43	2	no	—
911	C₂×Q₈	—	43	2	no	—
912	C₂×D₄	—	43	1	no	—
913	C₂×D₄	—	43	2	no	—
914	C₂×D₄	—	43	1	no	—
915	C₂×D₄	—	43	2	no	—
916	C₂×D₄	—	43	1	no	—
917	C₂×D₄	—	43	1	no	—
918	C₂×D₄	—	43	2	no	—
919	C₂×D₄	—	43	2	no	—
920	C₂×D₄	—	43	1	no	—
921	C₂×D₄	—	43	2	no	—
922	C₂×D₄	—	172	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	43	1	no	—
926	C₂²×C₄	—	43	1	no	—
927	C₂²×C₄	—	43	1	no	—
928	C₂²×C₄	—	43	2	no	—
929	C₂²×C₄	—	43	1	no	—
930	C₂²×C₄	—	43	1	no	—
931	C₂²×C₄	—	43	1	no	—
932	C₂²×C₄	—	43	2	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	—	86	2	no	—
938	C₂²×C₄	—	86	2	no	—
939	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
940	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
941	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
942	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
943	C₂²×C₄	C₂×C₄×D₄₃	1	2	yes	—
944	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
945	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
946	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
947	M₁₆	—	2	2	no	—
948	M₁₆	—	2	4	no	—
949	M₁₆	—	2	2	no	—
950	M₁₆	—	2	2	no	—
951	M₁₆	—	2	2	no	—
952	M₁₆	—	2	2	no	—
953	M₁₆	—	86	2	no	—
954	M₁₆	—	86	2	no	—
955	M₁₆	—	86	4	no	—
956	M₁₆	—	86	4	no	—
957	M₁₆	—	86	4	no	—
958	M₁₆	#10621898	1	4	yes	complemented
959	C₂×C₈	—	2	2	no	—
960	C₂×C₈	—	2	4	no	—
961	C₂×C₈	—	43	1	no	—
962	C₂×C₈	—	43	2	no	—
963	C₂×C₈	—	43	2	no	—
964	C₂×C₈	—	43	1	no	—
965	C₂×C₈	—	43	1	no	—
966	C₂×C₈	—	43	1	no	—
967	C₂×C₈	—	86	2	no	—
968	C₂×C₈	—	86	2	no	—
969	C₂×C₈	—	86	2	no	—
970	C₂×C₈	—	86	2	no	—
971	C₂×C₈	—	86	2	no	—
972	C₂×C₈	—	86	2	no	—
973	C₂×C₈	—	86	4	no	—
974	C₂×C₈	—	86	4	no	—
975	C₂×C₈	—	86	4	no	—
976	C₂×C₈	#10621898	1	4	yes	complemented
977	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
978	C₂×C₈	C₂³×D₄₃	1	2	yes	—
979	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
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	2	no	—
987	C₄⋊C₄	—	43	2	no	—
988	C₄⋊C₄	—	43	1	no	—
989	C₄⋊C₄	—	43	1	no	—
990	C₄⋊C₄	—	43	1	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	2	no	—
996	C₄⋊C₄	—	43	2	no	—
997	C₄⋊C₄	—	43	2	no	—
998	C₄⋊C₄	—	43	2	no	—
999	C₄⋊C₄	—	43	2	no	—
1000	C₄⋊C₄	—	43	2	no	—
1001	C₄⋊C₄	—	43	2	no	—
1002	C₄⋊C₄	—	43	2	no	—
1003	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1004	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1005	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1006	C₄⋊C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
1007	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1008	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
1009	C₂²⋊C₄	—	43	1	no	—
1010	C₂²⋊C₄	—	43	2	no	—
1011	C₂²⋊C₄	—	43	1	no	—
1012	C₂²⋊C₄	—	43	1	no	—
1013	C₂²⋊C₄	—	43	1	no	—
1014	C₂²⋊C₄	—	43	2	no	—
1015	C₂²⋊C₄	—	43	2	no	—
1016	C₂²⋊C₄	—	43	1	no	—
1017	C₂²⋊C₄	—	43	2	no	—
1018	C₂²⋊C₄	—	43	2	no	—
1019	C₂²⋊C₄	—	43	1	no	—
1020	C₂²⋊C₄	—	43	1	no	—
1021	C₂²⋊C₄	—	43	1	no	—
1022	C₂²⋊C₄	—	43	2	no	—
1023	C₂²⋊C₄	—	43	2	no	—
1024	C₂²⋊C₄	—	43	2	no	—
1025	C₂²⋊C₄	—	43	2	no	—
1026	C₂²⋊C₄	—	43	2	no	—
1027	C₂²⋊C₄	—	43	2	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	C₂²⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
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	1	no	—
1041	C₄²	—	43	2	no	—
1042	C₄²	—	43	1	no	—
1043	C₄²	C₂×C₄×D₄₃	1	2	yes	—
1044	C₄²	C₂×C₄×D₄₃	1	2	yes	—
1045	C₄²	C₂³×D₄₃	1	2	yes	—
1046	C₄²	C₂³×D₄₃	1	2	yes	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	4	1	no	—
1049	C₂³	—	4	1	no	—
1050	C₂³	—	43	1	no	—
1051	C₂³	—	43	1	no	—
1052	C₂³	—	43	2	no	—
1053	C₂³	—	86	2	no	—
1054	C₂³	—	86	2	no	—
1055	C₂³	—	172	1	no	—
1056	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1057	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1058	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
1059	Q₈	—	86	2	no	—
1060	Q₈	—	172	2	no	—
1061	Q₈	—	172	2	no	—
1062	D₄	—	86	4	no	—
1063	D₄	—	86	2	no	—
1064	D₄	—	86	2	no	—
1065	D₄	—	86	4	no	—
1066	D₄	—	86	2	no	—
1067	D₄	—	172	2	no	—
1068	D₄	—	172	1	no	—
1069	D₄	—	172	1	no	—
1070	D₄	—	172	2	no	—
1071	D₄	—	172	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	4	2	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	2	no	—
1086	C₂×C₄	—	43	2	no	—
1087	C₂×C₄	—	43	2	no	—
1088	C₂×C₄	—	43	1	no	—
1089	C₂×C₄	—	43	1	no	—
1090	C₂×C₄	—	86	4	no	—
1091	C₂×C₄	—	86	2	no	—
1092	C₂×C₄	—	86	2	no	—
1093	C₂×C₄	—	86	2	no	—
1094	C₂×C₄	—	86	1	no	—
1095	C₂×C₄	—	86	1	no	—
1096	C₂×C₄	—	86	1	no	—
1097	C₂×C₄	—	86	2	no	—
1098	C₂×C₄	—	86	2	no	—
1099	C₂×C₄	—	86	1	no	—
1100	C₂×C₄	—	172	2	no	—
1101	C₂×C₄	—	172	2	no	—
1102	C₂×C₄	—	172	2	no	—
1103	C₂×C₄	—	172	1	no	—
1104	C₂×C₄	—	172	1	no	—
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	1	yes	characteristic
1108	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1109	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1110	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1111	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
1112	C₂×C₄	C₂×#10621898	1	2	yes	—
1113	C₂×C₄	C₂×#10621898	1	2	yes	—
1114	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1115	C₈	—	2	1	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	2	no	—
1118	C₈	—	86	1	no	—
1119	C₈	—	86	1	no	—
1120	C₈	—	86	1	no	—
1121	C₈	—	86	1	no	—
1122	C₈	—	86	2	no	—
1123	C₈	—	86	2	no	—
1124	C₈	C₂×#10621898	1	4	yes	—
1125	C₈	C₂×#10621898	1	2	yes	—
1126	C₈	C₂×#10621898	1	2	yes	—
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	—	2	1	no	—
1135	C₂²	—	8	2	no	—
1136	C₂²	—	43	2	no	—
1137	C₂²	—	86	1	no	—
1138	C₂²	—	86	1	no	—
1139	C₂²	—	86	2	no	—
1140	C₂²	—	86	1	no	—
1141	C₂²	—	86	2	no	—
1142	C₂²	—	86	1	no	—
1143	C₂²	—	86	1	no	—
1144	C₂²	—	86	2	no	—
1145	C₂²	—	172	4	no	—
1146	C₂²	C₄×#10621898	1	2	yes	—
1147	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	2	no	—
1152	C₄	—	2	1	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	86	2	no	—
1155	C₄	—	86	1	no	—
1156	C₄	—	86	1	no	—
1157	C₄	—	86	1	no	—
1158	C₄	—	86	2	no	—
1159	C₄	—	86	1	no	—
1160	C₄	—	86	1	no	—
1161	C₄	—	86	1	no	—
1162	C₄	—	86	2	no	—
1163	C₄	C₄×#10621898	1	2	yes	—
1164	C₄	C₂²×#10621898	1	1	yes	characteristic
1165	C₄	C₂²×#10621898	1	1	yes	characteristic
1166	C₂	—	2	2	no	—
1167	C₂	—	4	1	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	86	2	no	—
1170	C₂	—	172	1	no	—
1171	C₂	—	172	2	no	—
1172	C₂	C₂×C₄×#10621898	1	1	yes	characteristic
1173	C₂	#568×D₄₃	1	1	yes	characteristic
1174	C₂	#19149308	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2873	C₂
prime radical	#19148149	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2873	D₄₃
hypocenter	C₄₃	#60216
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #2873

Complements

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

N	H ≅ G/N	type
2. #19143610	C₂	semidirect
3. #19143599	C₂	semidirect
4. #19143585	C₂	semidirect
5. #19143585	C₂	semidirect
6. #19143580	C₂	semidirect
7. #19143576	C₂	semidirect
8. #19143566	C₂	semidirect
9. #19143557	C₂	semidirect
10. #19143539	C₂	semidirect
11. #19143533	C₂	semidirect
12. M₁₆×C₂²⋊D₄₃	C₂	semidirect
13. #19143323	C₂	semidirect
14. #19143320	C₂	semidirect
15. #19143298	C₂	semidirect
16. #19143291	C₂	semidirect
17. C₂×#14582968	C₂	semidirect
18. #19143259	C₂	semidirect
19. #19143253	C₂	semidirect
20. #19143250	C₂	semidirect
21. #19143022	C₂	semidirect
22. #405×D₄₃	C₂	semidirect
23. C₄₃×#2873	C₂	semidirect
50. #14583029	C₂²	semidirect
51. #14583029	C₂²	semidirect
52. #14583029	C₂²	semidirect
53. #14583027	C₂²	semidirect
54. #14583027	C₂²	semidirect
55. #14583027	C₂²	semidirect
56. #14583027	C₂²	semidirect
57. C₈×Dic₈₆	C₂²	semidirect
58. #14582978	C₂²	semidirect
60. #14582975	C₂²	semidirect
61. #14582975	C₂²	semidirect
62. #14582975	C₂²	semidirect
63. #14582972	C₂²	semidirect
64. #14582972	C₂²	semidirect
65. #14582972	C₂²	semidirect
66. #14582972	C₂²	semidirect
68. #14582970	C₂²	semidirect
78. #14582968	C₂²	semidirect
79. #14582968	C₂²	semidirect
80. #14582968	C₂²	semidirect
81. C₈×D₁₇₂	C₂²	semidirect
82. C₈×D₁₇₂	C₂²	semidirect
83. C₈×D₁₇₂	C₂²	semidirect
85. C₈×C₂²⋊D₄₃	C₂²	semidirect
86. #14582961	C₂²	semidirect
87. #14582961	C₂²	semidirect
88. #14582960	C₂²	semidirect
89. #14582960	C₂²	semidirect
90. #14582958	C₂²	semidirect
91. #14582958	C₂²	semidirect
92. #14582956	C₂²	semidirect
93. #14582954	C₂²	semidirect
94. #14582954	C₂²	semidirect
95. #14582952	C₂²	semidirect
96. #14582950	C₂²	semidirect
97. #14582950	C₂²	semidirect
111. #14582856	C₂²	semidirect
112. #14582856	C₂²	semidirect
116. #14582853	C₂²	semidirect
117. #14582853	C₂²	semidirect
119. C₄×#10621872	C₂²	semidirect
121. #97×D₄₃	C₂²	semidirect
122. #97×D₄₃	C₂²	semidirect
123. C₄×C₈×D₄₃	C₂²	semidirect
131. C₄₃×#405	C₂²	semidirect
132. C₄₃×#405	C₂²	semidirect
133. C₄×M₁₆×C₄₃	C₂²	semidirect
134. C₄×M₁₆×C₄₃	C₂²	semidirect
365. M₁₆×C₄₃	#41	semidirect
368. C₂×C₈×C₄₃	#41	semidirect
600. #2873	D₄₃	semidirect
712. #405	C₂×D₄₃	semidirect
713. #405	C₂×D₄₃	semidirect
716. C₄×M₁₆	C₂×D₄₃	semidirect
717. C₄×M₁₆	C₂×D₄₃	semidirect
722. C₄₃	#60216	semidirect
958. M₁₆	#10621898	semidirect
976. C₂×C₈	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148149	2
#19143610	2
#19143599	2
#19143585	2
#19143580	2
#19143576	2
#19143566	2
#19143557	2
#19143539	2
#19143533	2
M₁₆×C₂²⋊D₄₃	2
#19143323	2
#19143320	2
#19143298	2
#19143291	2
C₂×#14582968	2
#19143259	2
#19143253	2
#19143250	2
#19143022	2
#405×D₄₃	2
C₄₃×#2873	2
#60216	43