Subgroups — D₄₃×#2962 #25960971

Order 11008.

1938 conjugacy classes of subgroups.

The subgroup lattice has 816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#533×D₄₃	C₂	1	1	yes	maximal, characteristic
2	#19143544	C₂	1	1	yes	maximal, characteristic, complemented
3	#19143543	C₂	1	2	yes	maximal, complemented
4	#19143542	C₂	1	1	yes	maximal, characteristic, complemented
5	#19143541	C₂	1	2	yes	maximal, complemented
6	#19143540	C₂	1	4	yes	maximal, complemented
7	#19143539	C₂	1	2	yes	maximal, complemented
8	#19143538	C₂	1	1	yes	maximal, characteristic, complemented
9	#19143537	C₂	1	2	yes	maximal, complemented
10	#446×D₄₃	C₂	1	2	yes	maximal, complemented
11	#446×D₄₃	C₂	1	4	yes	maximal, complemented
12	C₈×Q₈×D₄₃	C₂	1	2	yes	maximal, complemented
13	#424×D₄₃	C₂	1	2	yes	maximal
14	C₂×C₄⋊C₈×D₄₃	C₂	1	1	yes	maximal, characteristic
15	#405×D₄₃	C₂	1	2	yes	maximal
16	C₄×M₁₆×D₄₃	C₂	1	1	yes	maximal, characteristic
17	C₄₃×#2962	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
19	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
20	C₂²×C₈×D₄₃	C₂²	1	2	yes	—
21	#14583456	C₂²	1	1	yes	characteristic
22	#14583455	C₄	1	2	yes	—
23	#14583454	C₄	1	1	yes	characteristic
24	#14583454	C₄	1	1	yes	characteristic
25	#14583453	C₂²	1	2	yes	—
26	#14583453	C₂²	1	2	yes	—
27	#14583452	C₂²	1	2	yes	—
28	#14583451	C₄	1	2	yes	—
29	#14583451	C₄	1	2	yes	—
30	C₄⋊Q₈×D₄₃	C₄	1	1	yes	characteristic
31	C₄⋊Q₈×D₄₃	C₄	1	1	yes	characteristic
32	#125×D₄₃	C₄	1	2	yes	—
33	C₂²⋊Q₈×D₄₃	C₄	1	2	yes	—
34	C₂²⋊Q₈×D₄₃	C₄	1	2	yes	—
35	C₄×Q₈×D₄₃	C₂²	1	2	yes	—
36	C₄×Q₈×D₄₃	C₂²	1	2	yes	—
37	#117×D₄₃	C₂²	1	2	yes	—
38	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
39	#14583030	C₂²	1	2	yes	complemented
40	#14583030	C₂²	1	4	yes	complemented
41	#14583029	C₂²	1	4	yes	complemented
42	#14583029	C₂²	1	2	yes	complemented
43	#14583028	C₂²	1	4	yes	complemented
44	#14583028	C₂²	1	4	yes	complemented
45	#14583028	C₂²	1	4	yes	complemented
46	#14583027	C₂²	1	4	yes	complemented
47	#14583027	C₂²	1	4	yes	complemented
48	#14583027	C₂²	1	4	yes	complemented
49	#14583026	C₂²	1	2	yes	complemented
50	#14583026	C₂²	1	4	yes	complemented
51	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	complemented
52	C₈×Dic₈₆	C₂²	1	4	yes	complemented
53	C₈×Dic₈₆	C₂²	1	2	yes	complemented
54	#14583023	C₂²	1	2	yes	complemented
55	#14583023	C₂²	1	4	yes	complemented
56	#14582927	C₂²	1	2	yes	—
57	#14582926	C₂²	1	2	yes	—
58	#14582925	C₂²	1	2	yes	—
59	#14582924	C₂²	1	4	yes	—
60	#14582924	C₂²	1	4	yes	—
61	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
62	C₂×Dic₄₃⋊C₈	C₂²	1	2	yes	—
63	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic
64	C₄⋊C₈×D₄₃	C₂²	1	4	yes	—
65	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic
66	C₄⋊C₈×D₄₃	C₂²	1	2	yes	—
67	C₄⋊C₈×D₄₃	C₂²	1	4	yes	—
68	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic
69	C₄⋊C₈×D₄₃	C₂²	1	2	yes	—
70	C₄⋊C₈×D₄₃	C₂²	1	1	yes	characteristic
71	#14582857	C₂²	1	2	yes	—
72	#14582856	C₂²	1	4	yes	—
73	#14582855	C₂²	1	2	yes	—
74	#14582854	C₂²	1	2	yes	—
75	#14582853	C₂²	1	4	yes	—
76	C₄×#10621877	C₂²	1	1	yes	characteristic
77	#14582851	C₂²	1	2	yes	—
78	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic
79	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic
80	C₄×#10621872	C₂²	1	2	yes	—
81	#97×D₄₃	C₂²	1	2	yes	—
82	#97×D₄₃	C₂²	1	4	yes	—
83	C₄×C₈×D₄₃	C₂²	1	2	yes	—
84	C₄×C₈×D₄₃	C₂²	1	4	yes	—
85	C₄₃×#533	C₂²	1	1	yes	characteristic
86	C₄₃×#446	C₂²	1	4	yes	complemented
87	C₄₃×#446	C₂²	1	2	yes	complemented
88	C₈×Q₈×C₄₃	C₂²	1	2	yes	complemented
89	C₄₃×#424	C₂²	1	2	yes	—
90	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
91	C₄₃×#405	C₂²	1	2	yes	—
92	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
93	C₂×Q₈×D₄₃	C₂×C₄	1	2	yes	—
94	C₂×Q₈×D₄₃	C₂×C₄	1	2	yes	—
95	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
96	C₂²×C₄×D₄₃	C₂×C₄	1	1	yes	characteristic
97	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
98	C₂×#10621877	C₂³	1	1	yes	characteristic
99	C₂×#10621877	C₂³	1	1	yes	characteristic
100	C₂×#10621872	C₂³	1	2	yes	—
101	C₂×#10621872	C₂³	1	2	yes	—
102	M₁₆×D₄₃	—	2	4	no	—
103	M₁₆×D₄₃	Q₈	1	8	yes	complemented
104	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
105	C₂×C₈×D₄₃	—	2	8	no	—
106	C₂×C₈×D₄₃	C₂³	1	2	yes	—
107	C₂×C₈×D₄₃	C₂³	1	2	yes	—
108	C₂×C₈×D₄₃	C₂³	1	2	yes	—
109	C₂×C₈×D₄₃	C₂³	1	2	yes	—
110	C₂×C₈×D₄₃	C₂³	1	2	yes	—
111	C₂×C₈×D₄₃	C₂³	1	2	yes	—
112	#13063325	C₂×C₄	1	1	yes	characteristic
113	#13063325	C₂×C₄	1	1	yes	characteristic
114	#13063324	C₂×C₄	1	2	yes	—
115	#13063324	C₂×C₄	1	2	yes	—
116	#13063324	C₂×C₄	1	2	yes	—
117	#13063324	C₂×C₄	1	2	yes	—
118	#13063323	C₂×C₄	1	2	yes	—
119	#13063323	C₂×C₄	1	2	yes	—
120	#13063317	C₂×C₄	1	2	yes	—
121	#13063316	C₂×C₄	1	2	yes	—
122	#13063316	C₂×C₄	1	2	yes	—
123	#13063315	C₂×C₄	1	4	yes	—
124	#13063315	C₂×C₄	1	4	yes	—
125	#13063305	C₂×C₄	1	2	yes	—
126	#13063305	C₂×C₄	1	2	yes	—
127	#13063304	C₂×C₄	1	2	yes	—
128	#13063304	C₂×C₄	1	2	yes	—
129	#13063303	C₂×C₄	1	4	yes	—
130	#13063303	C₂×C₄	1	4	yes	—
131	#13063302	C₂×C₄	1	4	yes	—
132	#13063302	C₂×C₄	1	4	yes	—
133	#13063301	C₂×C₄	1	2	yes	—
134	#13063301	C₂×C₄	1	2	yes	—
135	Q₈×Dic₄₃	C₂×C₄	1	2	yes	—
136	Q₈×Dic₄₃	C₂×C₄	1	2	yes	—
137	C₄×Dic₈₆	C₂³	1	4	yes	—
138	C₄×Dic₈₆	C₂³	1	4	yes	—
139	C₄×Dic₈₆	C₂³	1	2	yes	—
140	C₄×Dic₈₆	C₂³	1	2	yes	—
141	#13063290	C₂×C₄	1	2	yes	—
142	#13063290	C₂×C₄	1	2	yes	—
143	#13063290	C₂×C₄	1	4	yes	—
144	#13063290	C₂×C₄	1	4	yes	—
145	#13063284	C₂³	1	2	yes	—
146	#13063283	C₂×C₄	1	2	yes	—
147	#13063283	C₂×C₄	1	2	yes	—
148	#13063282	C₂³	1	4	yes	—
149	#13063281	C₂×C₄	1	4	yes	—
150	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
151	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
152	C₄⋊C₄×D₄₃	C₂×C₄	1	4	yes	—
153	C₄⋊C₄×D₄₃	C₂×C₄	1	4	yes	—
154	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
155	C₄⋊C₄×D₄₃	C₂×C₄	1	2	yes	—
156	C₂²⋊C₄×D₄₃	C₂×C₄	1	4	yes	—
157	C₂×C₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
158	C₂×C₄×Dic₄₃	C₂×C₄	1	1	yes	characteristic
159	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
160	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
161	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
162	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
163	C₄²×D₄₃	C₂×C₄	1	1	yes	characteristic
164	C₄²×D₄₃	C₂³	1	1	yes	characteristic
165	C₄²×D₄₃	C₂³	1	1	yes	characteristic
166	C₄²×D₄₃	C₂³	1	1	yes	characteristic
167	C₄²×D₄₃	C₂³	1	1	yes	characteristic
168	C₄²×D₄₃	C₂³	1	4	yes	—
169	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
170	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
171	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
172	C₄⋊(C₄₃⋊C₈)	C₂³	1	4	yes	—
173	C₄⋊(C₄₃⋊C₈)	C₂³	1	4	yes	—
174	Dic₄₃⋊C₈	C₂³	1	2	yes	—
175	Dic₄₃⋊C₈	C₂³	1	2	yes	—
176	Dic₄₃⋊C₈	C₂³	1	2	yes	—
177	Dic₄₃⋊C₈	C₂³	1	2	yes	—
178	Dic₄₃⋊C₈	C₂³	1	4	yes	—
179	Dic₄₃⋊C₈	C₂³	1	4	yes	—
180	Dic₄₃⋊C₈	C₂³	1	4	yes	—
181	Dic₄₃⋊C₈	C₂³	1	4	yes	—
182	#13063236	C₂³	1	2	yes	—
183	#13063236	C₂³	1	4	yes	—
184	#13063235	C₂³	1	2	yes	—
185	#13063235	C₂³	1	2	yes	—
186	#13063235	C₂³	1	4	yes	—
187	#13063235	C₂³	1	4	yes	—
188	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
189	C₄×C₄₃⋊C₈	C₂³	1	4	yes	—
190	C₈×Dic₄₃	C₂³	1	2	yes	—
191	C₈×Dic₄₃	C₂³	1	2	yes	—
192	C₈×Dic₄₃	C₂³	1	4	yes	—
193	C₈×Dic₄₃	C₂³	1	4	yes	—
194	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
195	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
197	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
198	C₄⋊Q₈×C₄₃	C₂×C₄	1	1	yes	characteristic
199	#125×C₄₃	C₂×C₄	1	2	yes	—
200	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
201	C₂²⋊Q₈×C₄₃	C₂×C₄	1	2	yes	—
202	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
203	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
204	#117×C₄₃	C₂³	1	2	yes	—
205	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
206	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
207	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
208	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
209	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
210	C₄⋊C₈×C₄₃	C₂³	1	4	yes	—
211	#97×C₄₃	C₂³	1	2	yes	—
212	#97×C₄₃	C₂³	1	4	yes	—
213	C₄×C₈×C₄₃	C₂³	1	2	yes	—
214	C₄×C₈×C₄₃	C₂³	1	4	yes	—
215	C₂³×D₄₃	C₂²×C₄	1	1	yes	characteristic
216	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
217	C₂×Q₈×C₄₃	C₂²×C₄	1	2	yes	—
218	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
219	C₂²×C₄×C₄₃	C₂²×C₄	1	1	yes	characteristic
220	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
221	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
222	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
223	C₂²×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
224	Q₈×D₄₃	—	2	8	no	—
225	Q₈×D₄₃	—	4	4	no	—
226	C₂×C₄×D₄₃	—	2	4	no	—
227	C₂×C₄×D₄₃	—	4	2	no	—
228	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
229	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
230	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
231	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
232	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
233	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
234	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
235	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
236	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
237	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
238	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
239	C₂×C₄×D₄₃	C₂²×C₄	1	1	yes	characteristic
240	C₂×C₄×D₄₃	C₂×Q₈	1	4	yes	—
241	C₂×C₄×D₄₃	#41	1	4	yes	—
242	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
243	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
244	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
245	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
246	C₂×Dic₈₆	C₂²×C₄	1	4	yes	—
247	C₂×Dic₈₆	C₂²×C₄	1	2	yes	—
248	M₁₆×C₄₃	—	2	2	no	—
249	M₁₆×C₄₃	C₂×Q₈	1	4	yes	complemented
250	C₂×C₈×C₄₃	—	2	4	no	—
251	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
252	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
253	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
254	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
255	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
256	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
257	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
258	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
259	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
260	C₄⋊C₄×C₄₃	C₂²×C₄	1	2	yes	—
261	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
262	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
263	C₄²×C₄₃	C₂²×C₄	1	1	yes	characteristic
264	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
265	C₄²×C₄₃	C₂⁴	1	4	yes	—
266	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
267	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
268	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
269	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
270	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
271	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
272	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
273	C₄⋊Dic₄₃	C₂²×C₄	1	2	yes	—
274	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
275	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	—
276	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
277	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
278	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
279	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
280	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
281	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
282	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
283	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	—
284	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
285	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
286	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
287	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
288	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
289	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
290	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
291	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
292	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
293	C₄×Dic₄₃	C₂²×C₄	1	1	yes	characteristic
294	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
295	C₄×Dic₄₃	C₂²×C₄	1	4	yes	—
296	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
297	C₄×Dic₄₃	C₂⁴	1	4	yes	—
298	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
299	#10621877	—	2	2	no	—
300	#10621877	C₂×Q₈	1	4	yes	complemented
301	C₂×C₄₃⋊C₈	—	2	4	no	—
302	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
303	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
304	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
305	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
306	#10621872	—	2	4	no	—
307	#10621872	C₂×Q₈	1	8	yes	complemented
308	C₈×D₄₃	—	2	4	no	—
309	C₈×D₄₃	—	2	4	no	—
310	C₈×D₄₃	—	2	4	no	—
311	C₈×D₄₃	—	2	4	no	—
312	C₈×D₄₃	—	2	4	no	—
313	C₈×D₄₃	C₂×Q₈	1	8	yes	—
314	C₂³×C₄₃	C₂³×C₄	1	1	yes	characteristic
315	C₂²×D₄₃	—	2	2	no	—
316	C₂²×D₄₃	—	2	2	no	—
317	C₂²×D₄₃	C₄×Q₈	1	4	yes	—
318	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
319	C₂²×D₄₃	C₂³×C₄	1	1	yes	characteristic
320	Q₈×C₄₃	—	2	4	no	—
321	Q₈×C₄₃	—	4	2	no	—
322	C₂×C₄×C₄₃	—	2	2	no	—
323	C₂×C₄×C₄₃	—	4	1	no	—
324	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
325	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
326	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
327	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
328	C₂×C₄×C₄₃	C₂³×C₄	1	4	yes	—
329	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
330	C₂×C₄×C₄₃	C₂³×C₄	1	1	yes	characteristic
331	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
332	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
333	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
334	C₂×Dic₄₃	—	2	2	no	—
335	C₂×Dic₄₃	—	4	1	no	—
336	C₂×Dic₄₃	C₄×Q₈	1	4	yes	—
337	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
338	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
339	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
340	C₂×Dic₄₃	C₂³×C₄	1	4	yes	—
341	C₂×Dic₄₃	C₂³×C₄	1	4	yes	—
342	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
343	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
344	C₂×Dic₄₃	C₂³×C₄	1	1	yes	characteristic
345	C₄×D₄₃	—	2	2	no	—
346	C₄×D₄₃	—	2	8	no	—
347	C₄×D₄₃	—	2	2	no	—
348	C₄×D₄₃	—	2	2	no	—
349	C₄×D₄₃	—	2	8	no	—
350	C₄×D₄₃	—	2	2	no	—
351	C₄×D₄₃	—	2	2	no	—
352	C₄×D₄₃	—	4	1	no	—
353	C₄×D₄₃	—	4	1	no	—
354	C₄×D₄₃	C₄×Q₈	1	4	yes	—
355	C₄×D₄₃	C₄×Q₈	1	4	yes	—
356	C₄×D₄₃	#131	1	4	yes	—
357	C₄×D₄₃	C₂²×Q₈	1	2	yes	—
358	C₄×D₄₃	C₂²×Q₈	1	2	yes	—
359	C₄×D₄₃	C₂×#41	1	2	yes	—
360	C₄×D₄₃	C₂×#41	1	2	yes	—
361	Dic₈₆	—	2	4	no	—
362	Dic₈₆	—	2	8	no	—
363	Dic₈₆	—	4	4	no	—
364	Dic₈₆	—	4	2	no	—
365	C₈×C₄₃	—	2	2	no	—
366	C₈×C₄₃	—	2	2	no	—
367	C₈×C₄₃	—	2	2	no	—
368	C₈×C₄₃	C₂²×Q₈	1	4	yes	—
369	C₄₃⋊C₈	—	2	2	no	—
370	C₄₃⋊C₈	—	2	2	no	—
371	C₄₃⋊C₈	—	2	2	no	—
372	C₄₃⋊C₈	C₂²×Q₈	1	4	yes	—
373	C₂×#2962	—	43	1	no	maximal, Sylow
374	C₂²×C₄₃	—	2	1	no	—
375	C₂²×C₄₃	—	2	1	no	—
376	C₂²×C₄₃	C₂×C₄×Q₈	1	2	yes	—
377	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
378	C₂×D₄₃	—	2	1	no	—
379	C₂×D₄₃	—	2	1	no	—
380	C₂×D₄₃	—	2	8	no	—
381	C₂×D₄₃	C₂×C₄×Q₈	1	2	yes	—
382	C₂×D₄₃	C₂×C₄×Q₈	1	2	yes	—
383	C₂×D₄₃	C₂×#131	1	2	yes	—
384	C₂×D₄₃	#568	1	2	yes	—
385	C₄×C₄₃	—	2	4	no	—
386	C₄×C₄₃	—	2	1	no	—
387	C₄×C₄₃	—	2	1	no	—
388	C₄×C₄₃	—	2	4	no	—
389	C₄×C₄₃	—	2	1	no	—
390	C₄×C₄₃	C₂×C₄×Q₈	1	2	yes	—
391	C₄×C₄₃	C₂×#131	1	2	yes	—
392	C₄×C₄₃	C₂³×Q₈	1	1	yes	characteristic
393	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
394	Dic₄₃	—	2	4	no	—
395	Dic₄₃	—	2	1	no	—
396	Dic₄₃	—	2	1	no	—
397	Dic₄₃	—	2	4	no	—
398	Dic₄₃	—	2	1	no	—
399	Dic₄₃	C₂×C₄×Q₈	1	2	yes	—
400	Dic₄₃	C₂×C₄×Q₈	1	2	yes	—
401	Dic₄₃	C₂×#131	1	2	yes	—
402	C₂×#533	—	43	1	no	—
403	#2962	—	43	4	no	—
404	#2962	—	43	2	no	—
405	#2962	—	43	2	no	—
406	#2962	—	43	2	no	—
407	#2962	—	43	1	no	—
408	#2962	—	43	2	no	—
409	#2962	—	43	1	no	—
410	#2962	—	43	1	no	—
411	#2962	D₄₃	1	1	yes	characteristic, direct product factor
412	C₂×#446	—	43	2	no	—
413	C₂×#446	—	43	4	no	—
414	C₂×C₈×Q₈	—	43	2	no	—
415	C₂×#424	—	43	2	no	—
416	C₂²×C₄⋊C₈	—	43	1	no	—
417	C₂×#405	—	43	2	no	—
418	C₂×C₄×M₁₆	—	43	1	no	—
419	C₂×C₄₃	—	2	2	no	—
420	C₂×C₄₃	C₂²×C₄×Q₈	1	1	yes	characteristic
421	C₂×C₄₃	C₂²×#131	1	1	yes	characteristic
422	C₂×C₄₃	C₂×#568	1	1	yes	characteristic
423	D₄₃	—	2	2	no	—
424	D₄₃	#2962	1	4	yes	direct product factor
425	C₂²×M₁₆	—	43	1	no	—
426	C₂²×M₁₆	—	43	1	no	—
427	C₂³×C₈	—	43	2	no	—
428	#533	—	43	1	no	—
429	#533	—	43	1	no	—
430	#533	—	43	2	no	—
431	#533	—	43	2	no	—
432	#533	—	43	2	no	—
433	#533	—	43	2	no	—
434	#533	—	43	2	no	—
435	#533	—	43	2	no	—
436	#533	—	43	1	no	—
437	#533	C₂×D₄₃	1	1	yes	characteristic
438	C₂×C₄⋊Q₈	—	43	1	no	—
439	C₂×C₄⋊Q₈	—	43	1	no	—
440	C₂×#125	—	43	2	no	—
441	C₂×C₂²⋊Q₈	—	43	2	no	—
442	C₂×C₂²⋊Q₈	—	43	2	no	—
443	C₂×C₄×Q₈	—	43	2	no	—
444	C₂×C₄×Q₈	—	43	2	no	—
445	C₂×#117	—	43	2	no	—
446	C₂²×C₄²	—	43	1	no	—
447	#446	—	43	2	no	—
448	#446	—	43	4	no	—
449	#446	—	43	2	no	—
450	#446	—	43	4	no	—
451	#446	—	43	4	no	—
452	#446	—	43	4	no	—
453	#446	—	43	4	no	—
454	#446	—	43	4	no	—
455	#446	—	43	4	no	—
456	#446	—	43	4	no	—
457	#446	—	43	2	no	—
458	#446	—	43	4	no	—
459	#446	C₂×D₄₃	1	2	yes	complemented
460	#446	C₂×D₄₃	1	4	yes	complemented
461	C₈×Q₈	—	43	2	no	—
462	C₈×Q₈	—	43	4	no	—
463	C₈×Q₈	—	43	2	no	—
464	C₈×Q₈	—	43	4	no	—
465	C₈×Q₈	—	43	2	no	—
466	C₈×Q₈	C₂×D₄₃	1	2	yes	complemented
467	#424	—	43	2	no	—
468	#424	—	43	2	no	—
469	#424	—	43	2	no	—
470	#424	—	43	4	no	—
471	#424	—	43	4	no	—
472	#424	C₂×D₄₃	1	2	yes	—
473	C₂×C₄⋊C₈	—	43	2	no	—
474	C₂×C₄⋊C₈	—	43	1	no	—
475	C₂×C₄⋊C₈	—	43	1	no	—
476	C₂×C₄⋊C₈	—	43	1	no	—
477	C₂×C₄⋊C₈	—	43	2	no	—
478	C₂×C₄⋊C₈	—	43	2	no	—
479	C₂×C₄⋊C₈	—	43	1	no	—
480	C₂×C₄⋊C₈	—	43	1	no	—
481	C₂×C₄⋊C₈	—	43	4	no	—
482	C₂×C₄⋊C₈	—	43	4	no	—
483	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
484	#405	—	43	2	no	—
485	#405	—	43	2	no	—
486	#405	—	43	2	no	—
487	#405	—	43	4	no	—
488	#405	—	43	4	no	—
489	#405	C₂×D₄₃	1	2	yes	—
490	C₄×M₁₆	—	43	1	no	—
491	C₄×M₁₆	—	43	1	no	—
492	C₄×M₁₆	—	43	1	no	—
493	C₄×M₁₆	—	43	2	no	—
494	C₄×M₁₆	—	43	2	no	—
495	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic
496	C₂×#97	—	43	2	no	—
497	C₂×#97	—	43	4	no	—
498	C₂×C₄×C₈	—	43	2	no	—
499	C₂×C₄×C₈	—	43	4	no	—
500	C₄₃	C₂×#2962	1	1	yes	characteristic, complemented, Sylow
501	C₂²×Q₈	—	43	2	no	—
502	C₂²×Q₈	—	43	2	no	—
503	C₂³×C₄	—	43	1	no	—
504	C₂³×C₄	—	43	1	no	—
505	C₂³×C₄	—	43	1	no	—
506	C₂×M₁₆	—	43	1	no	—
507	C₂×M₁₆	—	43	8	no	—
508	C₂×M₁₆	—	43	1	no	—
509	C₂×M₁₆	—	43	2	no	—
510	C₂×M₁₆	—	43	2	no	—
511	C₂×M₁₆	—	86	4	no	—
512	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
513	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
514	C₂²×C₈	—	43	2	no	—
515	C₂²×C₈	—	43	2	no	—
516	C₂²×C₈	—	43	2	no	—
517	C₂²×C₈	—	43	2	no	—
518	C₂²×C₈	—	43	2	no	—
519	C₂²×C₈	—	43	2	no	—
520	C₂²×C₈	—	43	2	no	—
521	C₂²×C₈	—	86	8	no	—
522	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
523	C₄⋊Q₈	—	43	2	no	—
524	C₄⋊Q₈	—	43	2	no	—
525	C₄⋊Q₈	—	43	2	no	—
526	C₄⋊Q₈	—	43	2	no	—
527	C₄⋊Q₈	—	43	2	no	—
528	C₄⋊Q₈	—	43	2	no	—
529	C₄⋊Q₈	—	43	1	no	—
530	C₄⋊Q₈	—	43	1	no	—
531	C₄⋊Q₈	C₄×D₄₃	1	1	yes	characteristic
532	C₄⋊Q₈	C₄×D₄₃	1	1	yes	characteristic
533	#125	—	43	4	no	—
534	#125	—	43	4	no	—
535	#125	—	43	2	no	—
536	#125	—	43	2	no	—
537	#125	—	43	2	no	—
538	#125	C₄×D₄₃	1	2	yes	—
539	C₂²⋊Q₈	—	43	2	no	—
540	C₂²⋊Q₈	—	43	2	no	—
541	C₂²⋊Q₈	—	43	2	no	—
542	C₂²⋊Q₈	—	43	2	no	—
543	C₂²⋊Q₈	—	43	4	no	—
544	C₂²⋊Q₈	—	43	4	no	—
545	C₂²⋊Q₈	—	43	2	no	—
546	C₂²⋊Q₈	—	43	2	no	—
547	C₂²⋊Q₈	—	43	4	no	—
548	C₂²⋊Q₈	—	43	4	no	—
549	C₂²⋊Q₈	C₄×D₄₃	1	2	yes	—
550	C₂²⋊Q₈	C₄×D₄₃	1	2	yes	—
551	C₄×Q₈	—	43	2	no	—
552	C₄×Q₈	—	43	2	no	—
553	C₄×Q₈	—	43	2	no	—
554	C₄×Q₈	—	43	2	no	—
555	C₄×Q₈	—	43	4	no	—
556	C₄×Q₈	—	43	4	no	—
557	C₄×Q₈	—	43	4	no	—
558	C₄×Q₈	—	43	2	no	—
559	C₄×Q₈	—	43	2	no	—
560	C₄×Q₈	—	43	4	no	—
561	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
562	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
563	#117	—	43	2	no	—
564	#117	—	43	2	no	—
565	#117	—	43	2	no	—
566	#117	—	43	4	no	—
567	#117	—	43	4	no	—
568	#117	C₂²×D₄₃	1	2	yes	—
569	C₂×C₄⋊C₄	—	43	2	no	—
570	C₂×C₄⋊C₄	—	43	2	no	—
571	C₂×C₄⋊C₄	—	43	4	no	—
572	C₂×C₄⋊C₄	—	43	4	no	—
573	C₂×C₄⋊C₄	—	43	2	no	—
574	C₂×C₄⋊C₄	—	43	2	no	—
575	C₂×C₂²⋊C₄	—	43	4	no	—
576	C₂×C₄²	—	43	1	no	—
577	C₂×C₄²	—	43	1	no	—
578	C₂×C₄²	—	43	1	no	—
579	C₂×C₄²	—	43	1	no	—
580	C₂×C₄²	—	43	1	no	—
581	C₂×C₄²	—	43	1	no	—
582	C₂×C₄²	—	43	1	no	—
583	C₂×C₄²	—	43	4	no	—
584	C₂×C₄²	—	43	1	no	—
585	C₂×C₄²	—	43	1	no	—
586	C₂×C₄²	—	43	1	no	—
587	C₂×C₄²	—	43	1	no	—
588	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
589	C₄⋊C₈	—	43	2	no	—
590	C₄⋊C₈	—	43	2	no	—
591	C₄⋊C₈	—	43	2	no	—
592	C₄⋊C₈	—	43	2	no	—
593	C₄⋊C₈	—	43	4	no	—
594	C₄⋊C₈	—	43	4	no	—
595	C₄⋊C₈	—	43	4	no	—
596	C₄⋊C₈	—	43	4	no	—
597	C₄⋊C₈	—	43	1	no	—
598	C₄⋊C₈	—	43	1	no	—
599	C₄⋊C₈	—	43	2	no	—
600	C₄⋊C₈	—	43	4	no	—
601	C₄⋊C₈	—	43	4	no	—
602	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
603	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
604	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
605	C₄⋊C₈	C₂²×D₄₃	1	4	yes	—
606	C₄⋊C₈	C₂²×D₄₃	1	4	yes	—
607	#97	—	43	2	no	—
608	#97	—	43	2	no	—
609	#97	—	43	4	no	—
610	#97	—	43	4	no	—
611	#97	—	43	2	no	—
612	#97	—	43	4	no	—
613	#97	C₂²×D₄₃	1	2	yes	—
614	#97	C₂²×D₄₃	1	4	yes	—
615	C₄×C₈	—	43	2	no	—
616	C₄×C₈	—	43	2	no	—
617	C₄×C₈	—	43	4	no	—
618	C₄×C₈	—	43	4	no	—
619	C₄×C₈	—	43	2	no	—
620	C₄×C₈	—	43	4	no	—
621	C₄×C₈	C₂²×D₄₃	1	2	yes	—
622	C₄×C₈	C₂²×D₄₃	1	4	yes	—
623	C₂⁴	—	43	1	no	—
624	C₂×Q₈	—	43	4	no	—
625	C₂×Q₈	—	43	2	no	—
626	C₂×Q₈	—	43	4	no	—
627	C₂×Q₈	—	43	2	no	—
628	C₂×Q₈	—	86	8	no	—
629	C₂×Q₈	—	172	4	no	—
630	C₂×Q₈	C₂×C₄×D₄₃	1	2	yes	—
631	C₂×Q₈	C₂×C₄×D₄₃	1	2	yes	—
632	C₂²×C₄	—	43	1	no	—
633	C₂²×C₄	—	43	1	no	—
634	C₂²×C₄	—	43	1	no	—
635	C₂²×C₄	—	43	1	no	—
636	C₂²×C₄	—	43	4	no	—
637	C₂²×C₄	—	43	4	no	—
638	C₂²×C₄	—	43	1	no	—
639	C₂²×C₄	—	43	1	no	—
640	C₂²×C₄	—	43	1	no	—
641	C₂²×C₄	—	43	1	no	—
642	C₂²×C₄	—	43	1	no	—
643	C₂²×C₄	—	43	1	no	—
644	C₂²×C₄	—	43	1	no	—
645	C₂²×C₄	—	43	1	no	—
646	C₂²×C₄	—	43	1	no	—
647	C₂²×C₄	—	43	4	no	—
648	C₂²×C₄	—	43	4	no	—
649	C₂²×C₄	—	43	1	no	—
650	C₂²×C₄	—	43	1	no	—
651	C₂²×C₄	—	86	4	no	—
652	C₂²×C₄	—	172	2	no	—
653	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
654	C₂²×C₄	C₂×C₄×D₄₃	1	1	yes	characteristic
655	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
656	M₁₆	—	2	2	no	—
657	M₁₆	—	43	4	no	—
658	M₁₆	—	43	8	no	—
659	M₁₆	—	86	4	no	—
660	M₁₆	—	86	2	no	—
661	M₁₆	Q₈×D₄₃	1	4	yes	complemented
662	C₂×C₈	—	2	4	no	—
663	C₂×C₈	—	43	2	no	—
664	C₂×C₈	—	43	8	no	—
665	C₂×C₈	—	43	2	no	—
666	C₂×C₈	—	43	2	no	—
667	C₂×C₈	—	43	2	no	—
668	C₂×C₈	—	86	4	no	—
669	C₂×C₈	—	86	4	no	—
670	C₂×C₈	—	86	4	no	—
671	C₂×C₈	—	86	4	no	—
672	C₂×C₈	—	86	4	no	—
673	C₂×C₈	—	86	4	no	—
674	C₂×C₈	C₂³×D₄₃	1	2	yes	—
675	C₂×C₈	C₂³×D₄₃	1	2	yes	—
676	C₂×C₈	C₂³×D₄₃	1	2	yes	—
677	C₂×C₈	C₂³×D₄₃	1	2	yes	—
678	C₄⋊C₄	—	43	4	no	—
679	C₄⋊C₄	—	43	4	no	—
680	C₄⋊C₄	—	43	2	no	—
681	C₄⋊C₄	—	43	2	no	—
682	C₄⋊C₄	—	43	4	no	—
683	C₄⋊C₄	—	43	4	no	—
684	C₄⋊C₄	—	43	4	no	—
685	C₄⋊C₄	—	43	4	no	—
686	C₄⋊C₄	—	43	4	no	—
687	C₄⋊C₄	—	43	4	no	—
688	C₄⋊C₄	—	43	4	no	—
689	C₄⋊C₄	—	43	4	no	—
690	C₄⋊C₄	—	43	2	no	—
691	C₄⋊C₄	—	43	2	no	—
692	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
693	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
694	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
695	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
696	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
697	C₄⋊C₄	C₂×C₄×D₄₃	1	2	yes	—
698	C₂²⋊C₄	—	43	4	no	—
699	C₂²⋊C₄	—	43	4	no	—
700	C₂²⋊C₄	—	43	4	no	—
701	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
702	C₄²	—	43	1	no	—
703	C₄²	—	43	1	no	—
704	C₄²	—	43	1	no	—
705	C₄²	—	43	1	no	—
706	C₄²	—	43	1	no	—
707	C₄²	—	43	1	no	—
708	C₄²	—	43	1	no	—
709	C₄²	—	43	1	no	—
710	C₄²	—	43	1	no	—
711	C₄²	—	43	1	no	—
712	C₄²	—	43	4	no	—
713	C₄²	—	43	4	no	—
714	C₄²	—	43	1	no	—
715	C₄²	—	43	4	no	—
716	C₄²	—	43	1	no	—
717	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
718	C₄²	C₂×C₄×D₄₃	1	1	yes	characteristic
719	C₄²	C₂³×D₄₃	1	1	yes	characteristic
720	C₄²	C₂³×D₄₃	1	4	yes	—
721	C₄²	C₂³×D₄₃	1	1	yes	characteristic
722	C₂³	—	43	1	no	—
723	C₂³	—	43	4	no	—
724	C₂³	—	43	1	no	—
725	C₂³	—	86	2	no	—
726	C₂³	—	86	2	no	—
727	C₂³	C₂²×C₄×D₄₃	1	1	yes	characteristic
728	Q₈	—	2	4	no	—
729	Q₈	—	4	2	no	—
730	Q₈	—	86	8	no	—
731	Q₈	—	86	4	no	—
732	Q₈	—	172	2	no	—
733	Q₈	—	172	4	no	—
734	C₂×C₄	—	2	2	no	—
735	C₂×C₄	—	4	1	no	—
736	C₂×C₄	—	43	4	no	—
737	C₂×C₄	—	43	1	no	—
738	C₂×C₄	—	43	1	no	—
739	C₂×C₄	—	43	1	no	—
740	C₂×C₄	—	43	4	no	—
741	C₂×C₄	—	43	4	no	—
742	C₂×C₄	—	43	4	no	—
743	C₂×C₄	—	43	2	no	—
744	C₂×C₄	—	43	2	no	—
745	C₂×C₄	—	43	2	no	—
746	C₂×C₄	—	43	2	no	—
747	C₂×C₄	—	43	1	no	—
748	C₂×C₄	—	43	1	no	—
749	C₂×C₄	—	43	1	no	—
750	C₂×C₄	—	43	4	no	—
751	C₂×C₄	—	43	4	no	—
752	C₂×C₄	—	86	2	no	—
753	C₂×C₄	—	86	2	no	—
754	C₂×C₄	—	86	2	no	—
755	C₂×C₄	—	86	2	no	—
756	C₂×C₄	—	86	8	no	—
757	C₂×C₄	—	86	8	no	—
758	C₂×C₄	—	86	2	no	—
759	C₂×C₄	—	86	2	no	—
760	C₂×C₄	—	172	1	no	—
761	C₂×C₄	—	172	1	no	—
762	C₂×C₄	—	172	1	no	—
763	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
764	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
765	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
766	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
767	C₂×C₄	C₂²×C₄×D₄₃	1	4	yes	—
768	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
769	C₂×C₄	C₂²×C₄×D₄₃	1	1	yes	characteristic
770	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
771	C₂×C₄	#41×D₄₃	1	2	yes	—
772	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
773	C₈	—	2	2	no	—
774	C₈	—	2	2	no	—
775	C₈	—	2	2	no	—
776	C₈	—	43	4	no	—
777	C₈	—	86	2	no	—
778	C₈	—	86	2	no	—
779	C₈	—	86	2	no	—
780	C₈	C₂×Q₈×D₄₃	1	4	yes	—
781	C₂²	—	2	1	no	—
782	C₂²	—	2	1	no	—
783	C₂²	—	43	2	no	—
784	C₂²	—	43	2	no	—
785	C₂²	—	43	2	no	—
786	C₂²	—	43	2	no	—
787	C₂²	—	86	8	no	—
788	C₂²	—	86	1	no	—
789	C₂²	—	86	1	no	—
790	C₂²	C₄×Q₈×D₄₃	1	2	yes	—
791	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
792	C₄	—	2	1	no	—
793	C₄	—	2	4	no	—
794	C₄	—	2	1	no	—
795	C₄	—	2	1	no	—
796	C₄	—	2	4	no	—
797	C₄	—	43	2	no	—
798	C₄	—	43	2	no	—
799	C₄	—	43	2	no	—
800	C₄	—	86	1	no	—
801	C₄	—	86	4	no	—
802	C₄	—	86	1	no	—
803	C₄	—	86	1	no	—
804	C₄	—	86	4	no	—
805	C₄	C₄×Q₈×D₄₃	1	2	yes	—
806	C₄	#131×D₄₃	1	2	yes	—
807	C₄	C₂²×Q₈×D₄₃	1	1	yes	characteristic
808	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
809	C₂	—	2	2	no	—
810	C₂	—	43	4	no	—
811	C₂	—	86	2	no	—
812	C₂	C₂×C₄×Q₈×D₄₃	1	1	yes	characteristic
813	C₂	C₂×#131×D₄₃	1	1	yes	characteristic
814	C₂	#568×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₄₃
commutator, socle	C₂²×C₄₃	C₂⁴×C₄
Fitting	C₄₃×#2962	C₂
prime radical	C₂³×D₄₃	C₂²×C₄
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2962	D₄₃
hypocenter	C₄₃	C₂×#2962
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ #2962

Complements

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

N	H ≅ G/N	type
2. #19143544	C₂	semidirect
3. #19143543	C₂	semidirect
4. #19143542	C₂	semidirect
5. #19143541	C₂	semidirect
6. #19143540	C₂	semidirect
7. #19143539	C₂	semidirect
8. #19143538	C₂	semidirect
9. #19143537	C₂	semidirect
10. #446×D₄₃	C₂	semidirect
11. #446×D₄₃	C₂	semidirect
12. C₈×Q₈×D₄₃	C₂	semidirect
17. C₄₃×#2962	C₂	semidirect
39. #14583030	C₂²	semidirect
40. #14583030	C₂²	semidirect
41. #14583029	C₂²	semidirect
42. #14583029	C₂²	semidirect
43. #14583028	C₂²	semidirect
44. #14583028	C₂²	semidirect
45. #14583028	C₂²	semidirect
46. #14583027	C₂²	semidirect
47. #14583027	C₂²	semidirect
48. #14583027	C₂²	semidirect
49. #14583026	C₂²	semidirect
50. #14583026	C₂²	semidirect
51. Q₈×C₄₃⋊C₈	C₂²	semidirect
52. C₈×Dic₈₆	C₂²	semidirect
53. C₈×Dic₈₆	C₂²	semidirect
54. #14583023	C₂²	semidirect
55. #14583023	C₂²	semidirect
86. C₄₃×#446	C₂²	semidirect
87. C₄₃×#446	C₂²	semidirect
88. C₈×Q₈×C₄₃	C₂²	semidirect
103. M₁₆×D₄₃	Q₈	semidirect
249. M₁₆×C₄₃	C₂×Q₈	semidirect
300. #10621877	C₂×Q₈	semidirect
307. #10621872	C₂×Q₈	semidirect
411. #2962	D₄₃	direct (N × H)
424. D₄₃	#2962	direct (N × H)
459. #446	C₂×D₄₃	semidirect
460. #446	C₂×D₄₃	semidirect
466. C₈×Q₈	C₂×D₄₃	semidirect
500. C₄₃	C₂×#2962	semidirect
661. M₁₆	Q₈×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#533×D₄₃	2
#19143544	2
#19143543	2
#19143542	2
#19143541	2
#19143540	2
#19143539	2
#19143538	2
#19143537	2
#446×D₄₃	2
C₈×Q₈×D₄₃	2
#424×D₄₃	2
C₂×C₄⋊C₈×D₄₃	2
#405×D₄₃	2
C₄×M₁₆×D₄₃	2
C₄₃×#2962	2
C₂×#2962	43

Subgroups — D43×#2962 #25960971

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#2962 #25960971