Subgroups — D₄₃×#2946 #25960686

Order 11008.

2946 conjugacy classes of subgroups.

The subgroup lattice has 1308 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×AGL(1,ℤ/8)×D₄₃	C₂	1	1	yes	maximal, characteristic
2	#520×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#518×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#19143430	C₂	1	1	yes	maximal, characteristic, complemented
5	#19143429	C₂	1	1	yes	maximal, characteristic, complemented
6	#19143428	C₂	1	1	yes	maximal, characteristic, complemented
7	#19143427	C₂	1	1	yes	maximal, characteristic, complemented
8	#19143426	C₂	1	2	yes	maximal, complemented
9	#19143425	C₂	1	1	yes	maximal, characteristic, complemented
10	#19143424	C₂	1	2	yes	maximal, complemented
11	#19143423	C₂	1	1	yes	maximal, characteristic, complemented
12	#19143422	C₂	1	2	yes	maximal, complemented
13	#19143421	C₂	1	1	yes	maximal, characteristic, complemented
14	#19143420	C₂	1	2	yes	maximal, complemented
15	#442×D₄₃	C₂	1	2	yes	maximal, complemented
16	#440×D₄₃	C₂	1	2	yes	maximal, complemented
17	C₄×SD₁₆×D₄₃	C₂	1	2	yes	maximal, complemented
18	C₄×D₈×D₄₃	C₂	1	2	yes	maximal, complemented
19	#428×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#416×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#102×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#405×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#2946	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₃	C₂²	1	1	yes	characteristic
25	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
26	C₂×#13063353	C₂²	1	1	yes	characteristic
27	C₂×#13063352	C₂²	1	2	yes	—
28	C₂×#13063351	C₂²	1	1	yes	characteristic
29	C₂×#13063350	C₂²	1	1	yes	characteristic
30	C₂×#13063349	C₂²	1	2	yes	—
31	AGL(1,ℤ/8)×D₄₃	C₄	1	16	yes	complemented
32	C₂×SD₁₆×D₄₃	C₂²	1	2	yes	—
33	C₂×D₈×D₄₃	C₂²	1	2	yes	—
34	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
35	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
36	#14583382	C₂²	1	1	yes	characteristic, complemented
37	#14583381	C₂²	1	2	yes	complemented
38	#14583380	—	2	1	no	—
39	#14583380	C₂²	1	1	yes	characteristic, complemented
40	#14583379	—	2	1	no	—
41	#14583379	C₂²	1	1	yes	characteristic, complemented
42	#14583378	—	2	2	no	—
43	#14583378	C₂²	1	2	yes	complemented
44	#14583374	C₂²	1	1	yes	characteristic, complemented
45	#14583373	C₂²	1	1	yes	characteristic, complemented
46	#14583373	C₂²	1	1	yes	characteristic, complemented
47	#14583372	—	2	2	no	—
48	#14583371	—	2	1	no	—
49	#14583371	—	2	1	no	—
50	#14583371	C₂²	1	2	yes	complemented
51	#14583371	C₂²	1	2	yes	complemented
52	C₄×Q₈×D₄₃	C₂²	1	2	yes	complemented
53	C₄×D₄×D₄₃	—	2	1	no	—
54	C₄×D₄×D₄₃	—	2	1	no	—
55	C₄×D₄×D₄₃	—	2	2	no	—
56	C₄×D₄×D₄₃	C₂²	1	2	yes	—
57	C₄×D₄×D₄₃	C₂²	1	2	yes	—
58	C₄×D₄×D₄₃	C₂²	1	2	yes	complemented
59	#117×D₄₃	—	2	1	no	—
60	#117×D₄₃	C₂²	1	1	yes	characteristic
61	#117×D₄₃	C₂²	1	1	yes	characteristic
62	C₂×C₄⋊C₄×D₄₃	—	2	1	no	—
63	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
64	C₂×C₂²⋊C₄×D₄₃	—	2	2	no	—
65	#14583012	C₂²	1	2	yes	complemented
66	#14583011	C₂²	1	2	yes	complemented
67	#14583010	C₂²	1	2	yes	complemented
68	#14583009	C₂²	1	2	yes	complemented
69	#14583009	C₂²	1	2	yes	complemented
70	#14583008	C₂²	1	2	yes	complemented
71	#14583008	C₂²	1	2	yes	complemented
72	#14583002	C₂²	1	2	yes	complemented
73	#14583001	C₂²	1	2	yes	complemented
74	#14583000	C₂²	1	2	yes	complemented
75	#14582999	C₂²	1	2	yes	complemented
76	#14582998	C₂²	1	2	yes	complemented
77	#14582997	C₂²	1	2	yes	complemented
78	#14582996	C₂²	1	2	yes	complemented
79	#14582990	C₂²	1	2	yes	complemented
80	C₄×#10621873	C₂²	1	2	yes	complemented
81	SD₁₆×Dic₄₃	C₂²	1	2	yes	complemented
82	C₄×#10621884	C₂²	1	2	yes	complemented
83	#14582986	C₂²	1	2	yes	complemented
84	C₄×#10621883	C₂²	1	2	yes	complemented
85	#14582984	C₂²	1	2	yes	complemented
86	C₄×D₃₄₄	C₂²	1	2	yes	complemented
87	D₈×Dic₄₃	C₂²	1	2	yes	complemented
88	#14582981	C₂²	1	2	yes	complemented
89	C₄×#10621882	C₂²	1	2	yes	complemented
90	C₄×#10621882	C₂²	1	2	yes	complemented
91	#14582979	C₂²	1	2	yes	complemented
92	#14582979	C₂²	1	2	yes	complemented
93	#14582942	C₂²	1	1	yes	characteristic, complemented
94	#14582941	C₂²	1	1	yes	characteristic, complemented
95	#14582940	C₂²	1	2	yes	complemented
96	#14582939	C₂²	1	1	yes	characteristic, complemented
97	#14582938	C₂²	1	2	yes	complemented
98	#107×D₄₃	C₂²	1	2	yes	complemented
99	#106×D₄₃	C₂²	1	2	yes	complemented
100	#14582896	C₂²	1	1	yes	characteristic, complemented
101	#14582895	C₂²	1	1	yes	characteristic, complemented
102	#14582894	C₂²	1	1	yes	characteristic, complemented
103	#14582894	C₂²	1	1	yes	characteristic, complemented
104	#14582893	C₂²	1	1	yes	characteristic, complemented
105	#14582892	C₂²	1	1	yes	characteristic, complemented
106	#14582892	C₂²	1	1	yes	characteristic, complemented
107	#103×D₄₃	C₂²	1	1	yes	characteristic, complemented
108	#103×D₄₃	C₂²	1	1	yes	characteristic, complemented
109	C₂×#13063247	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13063246	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13063245	C₂²	1	1	yes	characteristic, complemented
112	#102×D₄₃	C₂²	1	2	yes	—
113	#102×D₄₃	C₂²	1	2	yes	—
114	#102×D₄₃	C₂²	1	2	yes	complemented
115	#102×D₄₃	C₂²	1	2	yes	complemented
116	#102×D₄₃	C₂²	1	1	yes	characteristic, complemented
117	#102×D₄₃	C₂²	1	1	yes	characteristic, complemented
118	#14582857	C₂²	1	1	yes	characteristic, complemented
119	#14582856	C₂²	1	2	yes	complemented
120	#14582855	C₂²	1	1	yes	characteristic, complemented
121	#14582854	C₂²	1	1	yes	characteristic, complemented
122	#14582853	C₂²	1	2	yes	complemented
123	#97×D₄₃	C₂²	1	2	yes	complemented
124	C₄×C₈×D₄₃	C₂²	1	2	yes	complemented
125	C₂×AGL(1,ℤ/8)×C₄₃	C₂²	1	1	yes	characteristic
126	C₄₃×#520	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#518	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#442	C₂²	1	2	yes	complemented
129	C₄₃×#440	C₂²	1	2	yes	complemented
130	C₄×SD₁₆×C₄₃	C₂²	1	2	yes	complemented
131	C₄×D₈×C₄₃	C₂²	1	2	yes	complemented
132	C₄₃×#428	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
134	C₂×#102×C₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₄₃×#405	C₂²	1	1	yes	characteristic, complemented
136	C₂⁴×D₄₃	—	2	1	no	—
137	C₂×#10621902	C₂³	1	1	yes	characteristic
138	C₂×#10621898	—	2	1	no	—
139	C₂×#10621898	C₂³	1	1	yes	characteristic
140	C₂×#10621900	—	2	1	no	—
141	C₂×#10621900	C₂³	1	1	yes	characteristic
142	#41×D₄₃	—	2	4	no	—
143	#41×D₄₃	C₂×C₄	1	8	yes	complemented
144	C₂×Q₈×D₄₃	C₂³	1	1	yes	characteristic
145	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
146	C₂²×C₂²⋊D₄₃	—	2	1	no	—
147	C₂×D₄×D₄₃	—	2	1	no	—
148	C₂×D₄×D₄₃	—	2	1	no	—
149	C₂×D₄×D₄₃	—	2	1	no	—
150	C₂×D₄×D₄₃	—	2	4	no	—
151	C₂×D₄×D₄₃	C₂×C₄	1	8	yes	complemented
152	C₂×D₄×D₄₃	C₂³	1	2	yes	—
153	C₂×D₄×D₄₃	C₂³	1	1	yes	characteristic
154	C₂×D₄×D₄₃	C₂³	1	2	yes	—
155	C₂²×C₄×D₄₃	—	2	1	no	—
156	C₂²×C₄×D₄₃	—	2	1	no	—
157	C₂²×C₄×D₄₃	—	2	2	no	—
158	C₂²×C₄×D₄₃	—	2	2	no	—
159	C₂²×C₄×D₄₃	—	2	2	no	—
160	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
161	#13063353	C₂×C₄	1	8	yes	complemented
162	#13063352	C₂×C₄	1	16	yes	complemented
163	#13063351	C₂×C₄	1	8	yes	complemented
164	#13063350	C₂×C₄	1	8	yes	complemented
165	#13063349	C₂×C₄	1	16	yes	complemented
166	C₂×#10621873	C₂³	1	2	yes	—
167	C₂×#10621883	C₂³	1	2	yes	—
168	C₂×#10621884	C₂³	1	2	yes	—
169	SD₁₆×D₄₃	C₂×C₄	1	16	yes	complemented
170	C₂×D₃₄₄	C₂³	1	2	yes	—
171	C₂×#10621882	C₂³	1	2	yes	—
172	C₂×#10621882	C₂³	1	2	yes	—
173	D₈×D₄₃	C₂×C₄	1	16	yes	complemented
174	C₂×#10621877	C₂³	1	1	yes	characteristic
175	C₂×#10621872	C₂³	1	2	yes	—
176	M₁₆×D₄₃	C₂×C₄	1	8	yes	complemented
177	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
178	C₂×C₈×D₄₃	—	2	4	no	—
179	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
180	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
181	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
182	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
183	C₂×C₈×D₄₃	C₂³	1	2	yes	—
184	Q₈×Dic₄₃	C₂³	1	2	yes	complemented
185	C₄×Dic₈₆	—	2	2	no	—
186	C₄×Dic₈₆	C₂³	1	2	yes	complemented
187	#13063290	—	2	2	no	—
188	#13063290	C₂³	1	2	yes	complemented
189	C₄×D₁₇₂	—	2	2	no	—
190	C₄×D₁₇₂	—	2	1	no	—
191	C₄×D₁₇₂	—	2	1	no	—
192	C₄×D₁₇₂	C₂³	1	2	yes	—
193	C₄×D₁₇₂	C₂³	1	2	yes	—
194	C₄×D₁₇₂	C₂³	1	2	yes	complemented
195	D₄×Dic₄₃	—	2	2	no	—
196	D₄×Dic₄₃	—	2	1	no	—
197	D₄×Dic₄₃	—	2	1	no	—
198	D₄×Dic₄₃	C₂³	1	2	yes	—
199	D₄×Dic₄₃	C₂³	1	2	yes	—
200	D₄×Dic₄₃	C₂³	1	2	yes	complemented
201	#13063287	—	2	1	no	—
202	#13063287	—	2	1	no	—
203	#13063287	—	2	2	no	—
204	#13063287	C₂³	1	2	yes	—
205	#13063287	C₂³	1	2	yes	—
206	#13063287	C₂³	1	2	yes	complemented
207	C₄×C₂²⋊D₄₃	—	2	2	no	—
208	C₄×C₂²⋊D₄₃	—	2	2	no	—
209	C₄×C₂²⋊D₄₃	—	2	2	no	—
210	C₄×C₂²⋊D₄₃	—	2	2	no	—
211	C₄×C₂²⋊D₄₃	—	2	2	no	—
212	C₄×C₂²⋊D₄₃	—	2	2	no	—
213	C₄×C₂²⋊D₄₃	—	2	2	no	—
214	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
215	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
216	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
217	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
218	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
219	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
221	#13063284	—	2	1	no	—
222	#13063284	C₂³	1	1	yes	characteristic
223	#13063284	C₂³	1	1	yes	characteristic
224	#13063283	—	2	1	no	—
225	#13063283	—	2	1	no	—
226	#13063283	D₄	1	1	yes	characteristic
227	#13063283	D₄	1	1	yes	characteristic
228	#13063283	C₂³	1	1	yes	characteristic
229	#13063283	C₂³	1	1	yes	characteristic
230	#13063282	—	2	1	no	—
231	#13063282	—	2	2	no	—
232	#13063282	C₂³	1	2	yes	—
233	#13063281	—	2	1	no	—
234	#13063281	—	2	2	no	—
235	#13063281	D₄	1	2	yes	—
236	C₂×C₄⋊Dic₄₃	—	2	1	no	—
237	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₃⋊C₄	—	2	1	no	—
239	C₂×Dic₄₃⋊C₄	—	2	2	no	—
240	C₄⋊C₄×D₄₃	—	2	1	no	—
241	C₄⋊C₄×D₄₃	—	2	2	no	—
242	C₄⋊C₄×D₄₃	—	2	1	no	—
243	C₄⋊C₄×D₄₃	—	2	1	no	—
244	C₄⋊C₄×D₄₃	—	2	1	no	—
245	C₄⋊C₄×D₄₃	—	2	2	no	—
246	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
247	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
248	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
249	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
250	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
251	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₃	—	2	2	no	—
253	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
254	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
255	C₂²⋊C₄×D₄₃	—	2	1	no	—
256	C₂²⋊C₄×D₄₃	—	2	2	no	—
257	C₂²⋊C₄×D₄₃	—	2	2	no	—
258	C₂²⋊C₄×D₄₃	—	2	2	no	—
259	C₂²⋊C₄×D₄₃	—	2	2	no	—
260	C₂²⋊C₄×D₄₃	—	2	2	no	—
261	C₂²⋊C₄×D₄₃	—	2	2	no	—
262	C₂²⋊C₄×D₄₃	—	2	2	no	—
263	C₂²⋊C₄×D₄₃	D₄	1	2	yes	—
264	C₄²×D₄₃	—	2	2	no	—
265	C₄²×D₄₃	—	2	1	no	—
266	C₄²×D₄₃	C₂³	1	2	yes	—
267	#13063259	C₂³	1	2	yes	complemented
268	#13063258	C₂³	1	2	yes	complemented
269	#13063258	C₂³	1	2	yes	complemented
270	#13063257	C₂³	1	2	yes	complemented
271	#13063256	C₂³	1	2	yes	complemented
272	#13063256	C₂³	1	2	yes	complemented
273	#13063250	C₂³	1	1	yes	characteristic, complemented
274	#13063250	C₂³	1	1	yes	characteristic, complemented
275	#13063249	C₂³	1	1	yes	characteristic, complemented
276	#13063249	C₂³	1	1	yes	characteristic, complemented
277	#13063248	C₂³	1	1	yes	characteristic, complemented
278	#13063248	C₂³	1	1	yes	characteristic, complemented
279	#13063247	C₂³	1	2	yes	—
280	#13063247	C₂³	1	2	yes	—
281	#13063247	C₂³	1	1	yes	characteristic, complemented
282	#13063247	C₂³	1	1	yes	characteristic, complemented
283	#13063246	C₂³	1	2	yes	—
284	#13063246	C₂³	1	2	yes	—
285	#13063246	C₂³	1	1	yes	characteristic, complemented
286	#13063246	C₂³	1	1	yes	characteristic, complemented
287	#13063245	C₂³	1	2	yes	—
288	#13063245	C₂³	1	2	yes	—
289	#13063245	C₂³	1	1	yes	characteristic, complemented
290	#13063245	C₂³	1	1	yes	characteristic, complemented
291	#13063236	C₂³	1	2	yes	complemented
292	#13063235	C₂³	1	2	yes	complemented
293	#13063235	C₂³	1	2	yes	complemented
294	C₄×C₄₃⋊C₈	C₂³	1	2	yes	complemented
295	C₈×Dic₄₃	C₂³	1	2	yes	complemented
296	C₈×Dic₄₃	C₂³	1	2	yes	complemented
297	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
298	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
299	AGL(1,ℤ/8)×C₄₃	C₂×C₄	1	8	yes	complemented
300	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	—
301	C₂×D₈×C₄₃	C₂³	1	2	yes	—
302	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
303	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
304	C₄×Q₈×C₄₃	C₂³	1	2	yes	complemented
305	C₄×D₄×C₄₃	—	2	1	no	—
306	C₄×D₄×C₄₃	—	2	1	no	—
307	C₄×D₄×C₄₃	—	2	2	no	—
308	C₄×D₄×C₄₃	C₂³	1	2	yes	—
309	C₄×D₄×C₄₃	C₂³	1	2	yes	—
310	C₄×D₄×C₄₃	C₂³	1	2	yes	complemented
311	#117×C₄₃	—	2	1	no	—
312	#117×C₄₃	C₂³	1	1	yes	characteristic
313	#117×C₄₃	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
315	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄×C₄₃	—	2	2	no	—
317	#107×C₄₃	C₂³	1	2	yes	complemented
318	#106×C₄₃	C₂³	1	2	yes	complemented
319	#103×C₄₃	C₂³	1	1	yes	characteristic, complemented
320	#103×C₄₃	C₂³	1	1	yes	characteristic, complemented
321	#102×C₄₃	C₂³	1	2	yes	—
322	#102×C₄₃	C₂³	1	2	yes	—
323	#102×C₄₃	C₂³	1	1	yes	characteristic, complemented
324	#102×C₄₃	C₂³	1	1	yes	characteristic, complemented
325	#97×C₄₃	C₂³	1	2	yes	complemented
326	C₄×C₈×C₄₃	C₂³	1	2	yes	complemented
327	C₂⁴×C₄₃	—	2	1	no	—
328	C₂³×D₄₃	—	2	1	no	—
329	C₂³×D₄₃	—	2	1	no	—
330	C₂³×D₄₃	—	2	2	no	—
331	C₂³×D₄₃	—	2	8	no	—
332	C₂³×D₄₃	—	2	2	no	—
333	C₂³×D₄₃	—	8	2	no	—
334	C₂³×D₄₃	—	8	2	no	—
335	C₂³×D₄₃	C₂×D₄	1	1	yes	characteristic
336	#41×C₄₃	—	2	2	no	—
337	#41×C₄₃	C₂²×C₄	1	4	yes	complemented
338	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₄₃	—	2	1	no	—
340	C₂×D₄×C₄₃	—	2	2	no	—
341	C₂×D₄×C₄₃	—	2	1	no	—
342	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	complemented
343	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
344	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₄₃	—	2	1	no	—
346	C₂²×C₄×C₄₃	—	2	2	no	—
347	C₂²×C₄×C₄₃	—	2	2	no	—
348	C₂²×C₄×C₄₃	—	2	2	no	—
349	C₂²×C₄×C₄₃	—	2	1	no	—
350	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
351	C₂×C₂²⋊D₄₃	—	2	8	no	—
352	C₂×C₂²⋊D₄₃	—	2	2	no	—
353	C₂×C₂²⋊D₄₃	—	2	2	no	—
354	C₂×C₂²⋊D₄₃	—	2	1	no	—
355	C₂×C₂²⋊D₄₃	—	2	1	no	—
356	C₂×C₂²⋊D₄₃	—	2	1	no	—
357	C₂²×Dic₄₃	—	2	1	no	—
358	C₂²×Dic₄₃	—	2	2	no	—
359	C₂²×Dic₄₃	—	2	2	no	—
360	C₂²×Dic₄₃	—	2	2	no	—
361	C₂²×Dic₄₃	—	2	1	no	—
362	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
363	#10621902	—	2	2	no	—
364	#10621902	C₂²×C₄	1	4	yes	complemented
365	Q₈×D₄₃	—	2	2	no	—
366	Q₈×D₄₃	C₂²×C₄	1	4	yes	—
367	#10621900	—	2	8	no	—
368	#10621900	—	2	2	no	—
369	#10621900	C₂²×C₄	1	4	yes	complemented
370	D₄×D₄₃	—	2	8	no	—
371	D₄×D₄₃	—	2	8	no	—
372	D₄×D₄₃	—	2	4	no	—
373	D₄×D₄₃	—	2	4	no	—
374	D₄×D₄₃	—	2	2	no	—
375	D₄×D₄₃	—	2	8	no	—
376	D₄×D₄₃	C₂²×C₄	1	4	yes	—
377	D₄×D₄₃	C₂²×C₄	1	8	yes	—
378	D₄×D₄₃	C₂²×C₄	1	8	yes	complemented
379	#10621898	—	2	2	no	—
380	#10621898	—	2	8	no	—
381	#10621898	C₂²×C₄	1	4	yes	complemented
382	C₂×D₁₇₂	—	2	1	no	—
383	C₂×D₁₇₂	—	2	2	no	—
384	C₂×D₁₇₂	—	2	1	no	—
385	C₂×D₁₇₂	C₂²×C₄	1	4	yes	complemented
386	C₂×D₁₇₂	C₂⁴	1	2	yes	—
387	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
388	C₂×C₄×D₄₃	—	2	1	no	—
389	C₂×C₄×D₄₃	—	2	1	no	—
390	C₂×C₄×D₄₃	—	2	8	no	—
391	C₂×C₄×D₄₃	—	2	2	no	—
392	C₂×C₄×D₄₃	—	2	2	no	—
393	C₂×C₄×D₄₃	—	2	2	no	—
394	C₂×C₄×D₄₃	—	2	2	no	—
395	C₂×C₄×D₄₃	—	2	2	no	—
396	C₂×C₄×D₄₃	—	2	2	no	—
397	C₂×C₄×D₄₃	—	2	1	no	—
398	C₂×C₄×D₄₃	—	2	1	no	—
399	C₂×C₄×D₄₃	—	2	1	no	—
400	C₂×C₄×D₄₃	—	2	2	no	—
401	C₂×C₄×D₄₃	—	2	2	no	—
402	C₂×C₄×D₄₃	—	8	2	no	—
403	C₂×C₄×D₄₃	—	8	4	no	—
404	C₂×C₄×D₄₃	—	8	4	no	—
405	C₂×C₄×D₄₃	—	8	4	no	—
406	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
407	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
408	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
409	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
410	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
411	C₂×C₄×D₄₃	#41	1	4	yes	—
412	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
413	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
414	C₂×Dic₈₆	—	2	1	no	—
415	C₂×Dic₈₆	C₂⁴	1	1	yes	characteristic
416	SD₁₆×C₄₃	C₂²×C₄	1	8	yes	complemented
417	D₈×C₄₃	C₂²×C₄	1	8	yes	complemented
418	M₁₆×C₄₃	C₂²×C₄	1	4	yes	complemented
419	C₂×C₈×C₄₃	—	2	2	no	—
420	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
421	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
422	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
423	C₄⋊C₄×C₄₃	—	2	1	no	—
424	C₄⋊C₄×C₄₃	—	2	2	no	—
425	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
426	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
427	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
428	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
429	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²⋊C₄×C₄₃	—	2	2	no	—
431	C₂²⋊C₄×C₄₃	—	2	2	no	—
432	C₂²⋊C₄×C₄₃	—	2	2	no	—
433	C₂²⋊C₄×C₄₃	—	2	1	no	—
434	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
435	C₄²×C₄₃	—	2	2	no	—
436	C₄²×C₄₃	—	2	1	no	—
437	C₄²×C₄₃	C₂⁴	1	2	yes	—
438	C₂²⋊Dic₄₃	—	2	2	no	—
439	C₂²⋊Dic₄₃	—	2	2	no	—
440	C₂²⋊Dic₄₃	—	2	2	no	—
441	C₂²⋊Dic₄₃	—	2	1	no	—
442	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
443	#10621884	C₂²×C₄	1	8	yes	complemented
444	#10621883	C₂²×C₄	1	8	yes	complemented
445	#10621882	C₂²×C₄	1	8	yes	complemented
446	#10621882	C₂²×C₄	1	8	yes	complemented
447	(C₂×D₄₃)⋊C₄	—	2	2	no	—
448	(C₂×D₄₃)⋊C₄	—	2	2	no	—
449	(C₂×D₄₃)⋊C₄	—	2	2	no	—
450	(C₂×D₄₃)⋊C₄	—	2	2	no	—
451	(C₂×D₄₃)⋊C₄	—	2	2	no	—
452	(C₂×D₄₃)⋊C₄	—	2	2	no	—
453	(C₂×D₄₃)⋊C₄	—	2	1	no	—
454	(C₂×D₄₃)⋊C₄	—	2	1	no	—
455	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
456	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
457	C₄⋊Dic₄₃	—	2	1	no	—
458	C₄⋊Dic₄₃	—	2	2	no	—
459	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
460	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
461	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
462	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
463	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
464	Dic₄₃⋊C₄	—	2	2	no	—
465	Dic₄₃⋊C₄	—	2	2	no	—
466	Dic₄₃⋊C₄	—	2	2	no	—
467	Dic₄₃⋊C₄	—	2	2	no	—
468	Dic₄₃⋊C₄	—	2	1	no	—
469	Dic₄₃⋊C₄	—	2	1	no	—
470	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
471	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
472	C₄×Dic₄₃	—	2	2	no	—
473	C₄×Dic₄₃	—	2	1	no	—
474	C₄×Dic₄₃	—	2	2	no	—
475	C₄×Dic₄₃	—	2	1	no	—
476	C₄×Dic₄₃	—	2	1	no	—
477	C₄×Dic₄₃	—	2	2	no	—
478	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
479	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
480	C₄×Dic₄₃	C₂⁴	1	2	yes	—
481	#10621877	C₂²×C₄	1	4	yes	complemented
482	C₂×C₄₃⋊C₈	—	2	2	no	—
483	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
484	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
485	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
486	D₃₄₄	C₂²×C₄	1	8	yes	complemented
487	#10621873	C₂²×C₄	1	8	yes	complemented
488	#10621872	C₂²×C₄	1	8	yes	complemented
489	C₈×D₄₃	—	2	2	no	—
490	C₈×D₄₃	—	2	2	no	—
491	C₈×D₄₃	—	2	2	no	—
492	C₈×D₄₃	—	2	2	no	—
493	C₈×D₄₃	C₂²×C₄	1	8	yes	—
494	C₂³×C₄₃	—	2	1	no	—
495	C₂³×C₄₃	—	2	2	no	—
496	C₂³×C₄₃	—	2	4	no	—
497	C₂³×C₄₃	—	8	1	no	—
498	C₂³×C₄₃	—	8	1	no	—
499	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
500	C₂²×D₄₃	—	2	2	no	—
501	C₂²×D₄₃	—	2	2	no	—
502	C₂²×D₄₃	—	2	1	no	—
503	C₂²×D₄₃	—	2	2	no	—
504	C₂²×D₄₃	—	2	4	no	—
505	C₂²×D₄₃	—	2	4	no	—
506	C₂²×D₄₃	—	2	8	no	—
507	C₂²×D₄₃	—	2	8	no	—
508	C₂²×D₄₃	—	4	2	no	—
509	C₂²×D₄₃	—	4	4	no	—
510	C₂²×D₄₃	—	4	4	no	—
511	C₂²×D₄₃	—	4	2	no	—
512	C₂²×D₄₃	—	8	16	no	—
513	C₂²×D₄₃	—	8	2	no	—
514	C₂²×D₄₃	—	8	2	no	—
515	C₂²×D₄₃	—	8	1	no	—
516	C₂²×D₄₃	—	8	1	no	—
517	C₂²×D₄₃	C₄×D₄	1	4	yes	—
518	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
519	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
520	Q₈×C₄₃	—	2	1	no	—
521	Q₈×C₄₃	C₂³×C₄	1	2	yes	—
522	D₄×C₄₃	—	2	4	no	—
523	D₄×C₄₃	—	2	4	no	—
524	D₄×C₄₃	—	2	2	no	—
525	D₄×C₄₃	—	2	1	no	—
526	D₄×C₄₃	C₂³×C₄	1	2	yes	—
527	D₄×C₄₃	C₂³×C₄	1	4	yes	—
528	C₂×C₄×C₄₃	—	2	1	no	—
529	C₂×C₄×C₄₃	—	2	4	no	—
530	C₂×C₄×C₄₃	—	2	2	no	—
531	C₂×C₄×C₄₃	—	2	1	no	—
532	C₂×C₄×C₄₃	—	2	1	no	—
533	C₂×C₄×C₄₃	—	8	2	no	—
534	C₂×C₄×C₄₃	—	8	2	no	—
535	C₂×C₄×C₄₃	—	8	2	no	—
536	C₂×C₄×C₄₃	—	8	1	no	—
537	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
538	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
539	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
542	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
543	C₂²⋊D₄₃	—	2	4	no	—
544	C₂²⋊D₄₃	—	2	4	no	—
545	C₂²⋊D₄₃	—	2	4	no	—
546	C₂²⋊D₄₃	—	2	8	no	—
547	C₂²⋊D₄₃	—	2	8	no	—
548	C₂×Dic₄₃	—	2	1	no	—
549	C₂×Dic₄₃	—	2	4	no	—
550	C₂×Dic₄₃	—	2	2	no	—
551	C₂×Dic₄₃	—	2	1	no	—
552	C₂×Dic₄₃	—	2	1	no	—
553	C₂×Dic₄₃	—	8	2	no	—
554	C₂×Dic₄₃	—	8	2	no	—
555	C₂×Dic₄₃	—	8	2	no	—
556	C₂×Dic₄₃	—	8	1	no	—
557	C₂×Dic₄₃	C₄×D₄	1	4	yes	—
558	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
559	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
560	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
561	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
562	D₁₇₂	—	2	4	no	—
563	D₁₇₂	—	2	4	no	—
564	D₁₇₂	—	2	2	no	—
565	D₁₇₂	—	2	1	no	—
566	D₁₇₂	C₂³×C₄	1	4	yes	—
567	D₁₇₂	C₂³×C₄	1	2	yes	—
568	C₄×D₄₃	—	2	4	no	—
569	C₄×D₄₃	—	2	4	no	—
570	C₄×D₄₃	—	2	4	no	—
571	C₄×D₄₃	—	2	4	no	—
572	C₄×D₄₃	—	2	4	no	—
573	C₄×D₄₃	—	4	2	no	—
574	C₄×D₄₃	—	4	4	no	—
575	C₄×D₄₃	—	4	2	no	—
576	C₄×D₄₃	—	8	2	no	—
577	C₄×D₄₃	—	8	2	no	—
578	C₄×D₄₃	—	8	2	no	—
579	C₄×D₄₃	—	8	2	no	—
580	C₄×D₄₃	—	8	2	no	—
581	C₄×D₄₃	—	8	2	no	—
582	C₄×D₄₃	—	8	2	no	—
583	C₄×D₄₃	C₄×D₄	1	4	yes	—
584	C₄×D₄₃	C₄×D₄	1	4	yes	—
585	C₄×D₄₃	C₂³×C₄	1	2	yes	—
586	C₄×D₄₃	C₂³×C₄	1	2	yes	—
587	C₄×D₄₃	C₂×#41	1	2	yes	—
588	C₄×D₄₃	C₂×#41	1	2	yes	—
589	Dic₈₆	—	2	1	no	—
590	Dic₈₆	—	2	4	no	—
591	Dic₈₆	C₂³×C₄	1	2	yes	—
592	C₈×C₄₃	—	2	1	no	—
593	C₈×C₄₃	—	2	1	no	—
594	C₈×C₄₃	C₂³×C₄	1	4	yes	—
595	C₄₃⋊C₈	—	2	1	no	—
596	C₄₃⋊C₈	—	2	1	no	—
597	C₄₃⋊C₈	C₂³×C₄	1	4	yes	—
598	C₂×#2946	—	43	1	no	maximal, Sylow
599	C₂²×C₄₃	—	2	1	no	—
600	C₂²×C₄₃	—	2	1	no	—
601	C₂²×C₄₃	—	2	4	no	—
602	C₂²×C₄₃	—	2	2	no	—
603	C₂²×C₄₃	—	4	2	no	—
604	C₂²×C₄₃	—	4	1	no	—
605	C₂²×C₄₃	—	4	2	no	—
606	C₂²×C₄₃	—	4	1	no	—
607	C₂²×C₄₃	—	8	4	no	—
608	C₂²×C₄₃	C₂×C₄×D₄	1	2	yes	—
609	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
610	C₂×D₄₃	—	2	1	no	—
611	C₂×D₄₃	—	2	1	no	—
612	C₂×D₄₃	—	2	8	no	—
613	C₂×D₄₃	—	2	4	no	—
614	C₂×D₄₃	—	2	2	no	—
615	C₂×D₄₃	—	4	2	no	—
616	C₂×D₄₃	—	4	1	no	—
617	C₂×D₄₃	—	4	1	no	—
618	C₂×D₄₃	—	4	2	no	—
619	C₂×D₄₃	—	4	8	no	—
620	C₂×D₄₃	—	4	16	no	—
621	C₂×D₄₃	—	8	8	no	—
622	C₂×D₄₃	—	8	4	no	—
623	C₂×D₄₃	C₂×C₄×D₄	1	2	yes	—
624	C₂×D₄₃	C₂×C₄×D₄	1	2	yes	—
625	C₂×D₄₃	#576	1	2	yes	—
626	C₂×D₄₃	#577	1	2	yes	—
627	C₄×C₄₃	—	2	2	no	—
628	C₄×C₄₃	—	2	2	no	—
629	C₄×C₄₃	—	2	2	no	—
630	C₄×C₄₃	—	4	1	no	—
631	C₄×C₄₃	—	4	2	no	—
632	C₄×C₄₃	—	4	1	no	—
633	C₄×C₄₃	C₂×C₄×D₄	1	2	yes	—
634	C₄×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
635	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
636	Dic₄₃	—	2	2	no	—
637	Dic₄₃	—	2	2	no	—
638	Dic₄₃	—	2	2	no	—
639	Dic₄₃	—	4	1	no	—
640	Dic₄₃	—	4	2	no	—
641	Dic₄₃	—	4	1	no	—
642	Dic₄₃	C₂×C₄×D₄	1	2	yes	—
643	Dic₄₃	C₂×C₄×D₄	1	2	yes	—
644	C₂²×AGL(1,ℤ/8)	—	43	1	no	—
645	C₂×#520	—	43	1	no	—
646	C₂×#518	—	43	1	no	—
647	#2946	—	43	2	no	—
648	#2946	—	43	2	no	—
649	#2946	—	43	2	no	—
650	#2946	—	43	2	no	—
651	#2946	—	43	1	no	—
652	#2946	—	43	1	no	—
653	#2946	—	43	1	no	—
654	#2946	—	43	1	no	—
655	#2946	—	43	1	no	—
656	#2946	—	43	1	no	—
657	#2946	—	43	1	no	—
658	#2946	D₄₃	1	1	yes	characteristic, direct product factor
659	C₂×#442	—	43	2	no	—
660	C₂×#440	—	43	2	no	—
661	C₂×C₄×SD₁₆	—	43	2	no	—
662	C₂×C₄×D₈	—	43	2	no	—
663	C₂×#428	—	43	1	no	—
664	C₂×#416	—	43	1	no	—
665	C₂²×#102	—	43	1	no	—
666	C₂×#405	—	43	1	no	—
667	C₂×C₄₃	—	2	2	no	—
668	C₂×C₄₃	—	4	4	no	—
669	C₂×C₄₃	—	4	2	no	—
670	C₂×C₄₃	C₂²×C₄×D₄	1	1	yes	characteristic
671	C₂×C₄₃	C₂×#576	1	1	yes	characteristic
672	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
673	D₄₃	—	2	2	no	—
674	D₄₃	—	4	2	no	—
675	D₄₃	—	4	4	no	—
676	D₄₃	#2946	1	4	yes	direct product factor
677	C₂²×#41	—	43	1	no	—
678	C₂³×D₄	—	43	1	no	—
679	C₂×AGL(1,ℤ/8)	—	43	1	no	—
680	C₂×AGL(1,ℤ/8)	—	43	1	no	—
681	C₂×AGL(1,ℤ/8)	—	43	16	no	—
682	C₂×AGL(1,ℤ/8)	—	43	2	no	—
683	C₂×AGL(1,ℤ/8)	—	43	2	no	—
684	C₂×AGL(1,ℤ/8)	—	43	1	no	—
685	C₂×AGL(1,ℤ/8)	C₂×D₄₃	1	1	yes	characteristic
686	C₂²×SD₁₆	—	43	2	no	—
687	C₂²×D₈	—	43	2	no	—
688	C₂²×M₁₆	—	43	1	no	—
689	C₂³×C₈	—	43	1	no	—
690	#520	—	43	1	no	—
691	#520	—	43	2	no	—
692	#520	—	43	2	no	—
693	#520	—	43	1	no	—
694	#520	—	43	1	no	—
695	#520	—	86	1	no	—
696	#520	—	86	1	no	—
697	#520	—	86	2	no	—
698	#520	C₂×D₄₃	1	1	yes	characteristic, complemented
699	#518	—	43	1	no	—
700	#518	—	43	2	no	—
701	#518	—	43	2	no	—
702	#518	—	43	1	no	—
703	#518	—	43	1	no	—
704	#518	—	86	2	no	—
705	#518	—	86	1	no	—
706	#518	—	86	1	no	—
707	#518	C₂×D₄₃	1	1	yes	characteristic, complemented
708	C₂×C₄×Q₈	—	43	2	no	—
709	C₂×C₄×D₄	—	43	2	no	—
710	C₂×C₄×D₄	—	43	2	no	—
711	C₂×C₄×D₄	—	43	2	no	—
712	C₂×C₄×D₄	—	86	2	no	—
713	C₂×C₄×D₄	—	86	1	no	—
714	C₂×C₄×D₄	—	86	1	no	—
715	C₂×#117	—	43	1	no	—
716	C₂×#117	—	43	1	no	—
717	C₂×#117	—	86	1	no	—
718	C₂²×C₄⋊C₄	—	43	1	no	—
719	C₂²×C₄⋊C₄	—	86	1	no	—
720	C₂²×C₂²⋊C₄	—	86	2	no	—
721	#442	—	43	2	no	—
722	#442	—	43	2	no	—
723	#442	—	43	2	no	—
724	#442	—	43	2	no	—
725	#442	—	43	2	no	—
726	#442	—	43	2	no	—
727	#442	—	43	2	no	—
728	#442	C₂×D₄₃	1	2	yes	complemented
729	#440	—	43	2	no	—
730	#440	—	43	2	no	—
731	#440	—	43	2	no	—
732	#440	—	43	2	no	—
733	#440	—	43	2	no	—
734	#440	—	43	2	no	—
735	#440	—	43	2	no	—
736	#440	C₂×D₄₃	1	2	yes	complemented
737	C₄×SD₁₆	—	43	2	no	—
738	C₄×SD₁₆	—	43	2	no	—
739	C₄×SD₁₆	—	43	2	no	—
740	C₄×SD₁₆	—	43	2	no	—
741	C₄×SD₁₆	—	43	2	no	—
742	C₄×SD₁₆	—	43	2	no	—
743	C₄×SD₁₆	—	43	2	no	—
744	C₄×SD₁₆	C₂×D₄₃	1	2	yes	complemented
745	C₄×D₈	—	43	2	no	—
746	C₄×D₈	—	43	2	no	—
747	C₄×D₈	—	43	2	no	—
748	C₄×D₈	—	43	2	no	—
749	C₄×D₈	—	43	2	no	—
750	C₄×D₈	—	43	2	no	—
751	C₄×D₈	—	43	2	no	—
752	C₄×D₈	C₂×D₄₃	1	2	yes	complemented
753	#428	—	43	1	no	—
754	#428	—	43	1	no	—
755	#428	—	43	1	no	—
756	#428	—	43	2	no	—
757	#428	—	43	2	no	—
758	#428	C₂×D₄₃	1	1	yes	characteristic, complemented
759	C₂×#107	—	43	2	no	—
760	C₂×#106	—	43	2	no	—
761	#416	—	43	1	no	—
762	#416	—	43	1	no	—
763	#416	—	43	1	no	—
764	#416	—	43	1	no	—
765	#416	—	43	1	no	—
766	#416	—	43	1	no	—
767	#416	—	43	1	no	—
768	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
769	C₂×#103	—	43	1	no	—
770	C₂×#103	—	43	1	no	—
771	C₂×#102	—	43	1	no	—
772	C₂×#102	—	43	1	no	—
773	C₂×#102	—	43	1	no	—
774	C₂×#102	—	43	2	no	—
775	C₂×#102	—	43	2	no	—
776	C₂×#102	—	43	2	no	—
777	C₂×#102	—	43	2	no	—
778	C₂×#102	—	43	1	no	—
779	C₂×#102	—	43	1	no	—
780	C₂×#102	C₂×D₄₃	1	1	yes	characteristic, complemented
781	#405	—	43	1	no	—
782	#405	—	43	1	no	—
783	#405	—	43	1	no	—
784	#405	—	43	2	no	—
785	#405	—	43	2	no	—
786	#405	C₂×D₄₃	1	1	yes	characteristic, complemented
787	C₂×#97	—	43	2	no	—
788	C₂×C₄×C₈	—	43	2	no	—
789	C₄₃	C₂×#2946	1	1	yes	characteristic, complemented, Sylow
790	C₂⁵	—	86	1	no	—
791	C₂×#41	—	43	8	no	—
792	C₂×#41	—	43	1	no	—
793	C₂×#41	—	43	1	no	—
794	C₂×#41	—	43	1	no	—
795	C₂×#41	—	86	1	no	—
796	C₂×#41	—	86	1	no	—
797	C₂×#41	—	86	4	no	—
798	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
799	C₂²×Q₈	—	43	1	no	—
800	C₂²×D₄	—	43	8	no	—
801	C₂²×D₄	—	43	1	no	—
802	C₂²×D₄	—	43	2	no	—
803	C₂²×D₄	—	43	2	no	—
804	C₂²×D₄	—	43	1	no	—
805	C₂²×D₄	—	86	1	no	—
806	C₂²×D₄	—	86	1	no	—
807	C₂²×D₄	—	86	4	no	—
808	C₂²×D₄	—	86	1	no	—
809	C₂²×D₄	—	86	1	no	—
810	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
811	C₂³×C₄	—	43	1	no	—
812	C₂³×C₄	—	86	1	no	—
813	C₂³×C₄	—	86	2	no	—
814	C₂³×C₄	—	86	2	no	—
815	C₂³×C₄	—	86	2	no	—
816	C₂³×C₄	—	86	1	no	—
817	AGL(1,ℤ/8)	—	43	8	no	—
818	AGL(1,ℤ/8)	—	43	8	no	—
819	AGL(1,ℤ/8)	—	43	16	no	—
820	AGL(1,ℤ/8)	—	43	16	no	—
821	AGL(1,ℤ/8)	—	43	8	no	—
822	AGL(1,ℤ/8)	C₄×D₄₃	1	8	yes	complemented
823	C₂×SD₁₆	—	43	2	no	—
824	C₂×SD₁₆	—	43	2	no	—
825	C₂×SD₁₆	—	43	16	no	—
826	C₂×SD₁₆	—	43	2	no	—
827	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
828	C₂×D₈	—	43	2	no	—
829	C₂×D₈	—	43	2	no	—
830	C₂×D₈	—	43	16	no	—
831	C₂×D₈	—	43	2	no	—
832	C₂×D₈	C₂²×D₄₃	1	2	yes	—
833	C₂×M₁₆	—	43	1	no	—
834	C₂×M₁₆	—	43	8	no	—
835	C₂×M₁₆	—	43	2	no	—
836	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
837	C₂²×C₈	—	43	2	no	—
838	C₂²×C₈	—	43	1	no	—
839	C₂²×C₈	—	43	1	no	—
840	C₂²×C₈	—	43	1	no	—
841	C₂²×C₈	—	43	1	no	—
842	C₂²×C₈	—	43	1	no	—
843	C₂²×C₈	—	86	4	no	—
844	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
845	C₄×Q₈	—	43	2	no	—
846	C₄×Q₈	—	43	2	no	—
847	C₄×Q₈	—	43	2	no	—
848	C₄×Q₈	—	86	2	no	—
849	C₄×Q₈	—	86	2	no	—
850	C₄×Q₈	C₂²×D₄₃	1	2	yes	complemented
851	C₄×D₄	—	2	1	no	—
852	C₄×D₄	—	2	1	no	—
853	C₄×D₄	—	2	2	no	—
854	C₄×D₄	—	43	2	no	—
855	C₄×D₄	—	43	2	no	—
856	C₄×D₄	—	43	2	no	—
857	C₄×D₄	—	43	2	no	—
858	C₄×D₄	—	43	2	no	—
859	C₄×D₄	—	43	2	no	—
860	C₄×D₄	—	43	2	no	—
861	C₄×D₄	—	43	2	no	—
862	C₄×D₄	—	43	2	no	—
863	C₄×D₄	—	86	2	no	—
864	C₄×D₄	—	86	1	no	—
865	C₄×D₄	—	86	1	no	—
866	C₄×D₄	—	86	2	no	—
867	C₄×D₄	—	86	2	no	—
868	C₄×D₄	—	86	2	no	—
869	C₄×D₄	—	86	2	no	—
870	C₄×D₄	—	86	2	no	—
871	C₄×D₄	—	86	2	no	—
872	C₄×D₄	—	86	2	no	—
873	C₄×D₄	—	86	2	no	—
874	C₄×D₄	—	86	2	no	—
875	C₄×D₄	—	86	2	no	—
876	C₄×D₄	—	86	2	no	—
877	C₄×D₄	—	86	2	no	—
878	C₄×D₄	—	86	2	no	—
879	C₄×D₄	—	86	2	no	—
880	C₄×D₄	—	86	2	no	—
881	C₄×D₄	—	86	1	no	—
882	C₄×D₄	—	86	1	no	—
883	C₄×D₄	—	86	1	no	—
884	C₄×D₄	—	86	1	no	—
885	C₄×D₄	—	86	2	no	—
886	C₄×D₄	C₂²×D₄₃	1	2	yes	—
887	C₄×D₄	C₂²×D₄₃	1	2	yes	—
888	C₄×D₄	C₂²×D₄₃	1	2	yes	complemented
889	#117	—	2	1	no	—
890	#117	—	43	1	no	—
891	#117	—	43	1	no	—
892	#117	—	43	1	no	—
893	#117	—	43	2	no	—
894	#117	—	43	2	no	—
895	#117	—	43	1	no	—
896	#117	—	43	1	no	—
897	#117	—	43	1	no	—
898	#117	—	86	2	no	—
899	#117	—	86	1	no	—
900	#117	—	86	2	no	—
901	#117	—	86	1	no	—
902	#117	—	86	1	no	—
903	#117	—	86	1	no	—
904	#117	—	86	1	no	—
905	#117	C₂²×D₄₃	1	1	yes	characteristic
906	#117	C₂²×D₄₃	1	1	yes	characteristic
907	C₂×C₄⋊C₄	—	2	1	no	—
908	C₂×C₄⋊C₄	—	43	1	no	—
909	C₂×C₄⋊C₄	—	43	1	no	—
910	C₂×C₄⋊C₄	—	43	1	no	—
911	C₂×C₄⋊C₄	—	43	2	no	—
912	C₂×C₄⋊C₄	—	43	2	no	—
913	C₂×C₄⋊C₄	—	43	1	no	—
914	C₂×C₄⋊C₄	—	43	1	no	—
915	C₂×C₄⋊C₄	—	86	1	no	—
916	C₂×C₄⋊C₄	—	86	2	no	—
917	C₂×C₄⋊C₄	—	86	1	no	—
918	C₂×C₄⋊C₄	—	86	1	no	—
919	C₂×C₄⋊C₄	—	86	2	no	—
920	C₂×C₄⋊C₄	—	86	2	no	—
921	C₂×C₄⋊C₄	—	86	1	no	—
922	C₂×C₄⋊C₄	—	86	1	no	—
923	C₂×C₄⋊C₄	—	86	1	no	—
924	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	—	2	2	no	—
926	C₂×C₂²⋊C₄	—	43	2	no	—
927	C₂×C₂²⋊C₄	—	86	2	no	—
928	C₂×C₂²⋊C₄	—	86	2	no	—
929	C₂×C₂²⋊C₄	—	86	2	no	—
930	C₂×C₂²⋊C₄	—	86	2	no	—
931	C₂×C₂²⋊C₄	—	86	2	no	—
932	C₂×C₂²⋊C₄	—	86	2	no	—
933	C₂×C₂²⋊C₄	—	86	1	no	—
934	C₂×C₂²⋊C₄	—	86	2	no	—
935	C₂×C₂²⋊C₄	—	86	2	no	—
936	C₂×C₂²⋊C₄	—	86	2	no	—
937	C₂×C₂²⋊C₄	—	86	2	no	—
938	C₂×C₄²	—	43	2	no	—
939	C₂×C₄²	—	86	1	no	—
940	C₂×C₄²	—	86	2	no	—
941	#107	—	43	2	no	—
942	#107	—	43	2	no	—
943	#107	—	43	2	no	—
944	#107	C₂²×D₄₃	1	2	yes	complemented
945	#106	—	43	2	no	—
946	#106	—	43	2	no	—
947	#106	—	43	2	no	—
948	#106	C₂²×D₄₃	1	2	yes	complemented
949	#103	—	43	1	no	—
950	#103	—	43	1	no	—
951	#103	—	43	1	no	—
952	#103	—	43	1	no	—
953	#103	—	43	1	no	—
954	#103	—	43	1	no	—
955	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
956	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
957	#102	—	43	2	no	—
958	#102	—	43	2	no	—
959	#102	—	43	1	no	—
960	#102	—	43	1	no	—
961	#102	—	43	2	no	—
962	#102	—	43	2	no	—
963	#102	—	43	1	no	—
964	#102	—	43	1	no	—
965	#102	—	43	2	no	—
966	#102	—	43	2	no	—
967	#102	—	43	1	no	—
968	#102	—	43	1	no	—
969	#102	C₂²×D₄₃	1	2	yes	—
970	#102	C₂²×D₄₃	1	2	yes	—
971	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
972	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
973	#97	—	43	2	no	—
974	#97	—	43	2	no	—
975	#97	—	43	2	no	—
976	#97	C₂²×D₄₃	1	2	yes	complemented
977	C₄×C₈	—	43	2	no	—
978	C₄×C₈	—	43	2	no	—
979	C₄×C₈	—	43	2	no	—
980	C₄×C₈	C₂²×D₄₃	1	2	yes	complemented
981	C₂⁴	—	2	1	no	—
982	C₂⁴	—	43	1	no	—
983	C₂⁴	—	86	2	no	—
984	C₂⁴	—	86	8	no	—
985	C₂⁴	—	86	1	no	—
986	C₂⁴	—	86	2	no	—
987	C₂⁴	—	86	1	no	—
988	C₂⁴	—	344	2	no	—
989	C₂⁴	—	344	2	no	—
990	#41	—	2	2	no	—
991	#41	—	43	4	no	—
992	#41	—	43	4	no	—
993	#41	—	43	4	no	—
994	#41	—	86	8	no	—
995	#41	—	86	8	no	—
996	#41	—	86	2	no	—
997	#41	—	86	2	no	—
998	#41	—	86	2	no	—
999	#41	C₂×C₄×D₄₃	1	4	yes	complemented
1000	C₂×Q₈	—	43	4	no	—
1001	C₂×Q₈	—	43	1	no	—
1002	C₂×Q₈	—	86	1	no	—
1003	C₂×Q₈	—	86	2	no	—
1004	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	2	1	no	—
1007	C₂×D₄	—	2	2	no	—
1008	C₂×D₄	—	43	4	no	—
1009	C₂×D₄	—	43	8	no	—
1010	C₂×D₄	—	43	8	no	—
1011	C₂×D₄	—	43	4	no	—
1012	C₂×D₄	—	43	1	no	—
1013	C₂×D₄	—	43	2	no	—
1014	C₂×D₄	—	86	1	no	—
1015	C₂×D₄	—	86	8	no	—
1016	C₂×D₄	—	86	8	no	—
1017	C₂×D₄	—	86	4	no	—
1018	C₂×D₄	—	86	4	no	—
1019	C₂×D₄	—	86	2	no	—
1020	C₂×D₄	—	86	2	no	—
1021	C₂×D₄	—	86	2	no	—
1022	C₂×D₄	—	86	1	no	—
1023	C₂×D₄	—	86	8	no	—
1024	C₂×D₄	—	86	8	no	—
1025	C₂×D₄	—	86	1	no	—
1026	C₂×D₄	—	86	1	no	—
1027	C₂×D₄	—	86	1	no	—
1028	C₂×D₄	—	86	2	no	—
1029	C₂×D₄	C₂×C₄×D₄₃	1	4	yes	complemented
1030	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1031	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	43	1	no	—
1038	C₂²×C₄	—	43	4	no	—
1039	C₂²×C₄	—	43	1	no	—
1040	C₂²×C₄	—	43	1	no	—
1041	C₂²×C₄	—	43	4	no	—
1042	C₂²×C₄	—	43	1	no	—
1043	C₂²×C₄	—	43	1	no	—
1044	C₂²×C₄	—	43	2	no	—
1045	C₂²×C₄	—	43	2	no	—
1046	C₂²×C₄	—	86	1	no	—
1047	C₂²×C₄	—	86	8	no	—
1048	C₂²×C₄	—	86	2	no	—
1049	C₂²×C₄	—	86	2	no	—
1050	C₂²×C₄	—	86	2	no	—
1051	C₂²×C₄	—	86	1	no	—
1052	C₂²×C₄	—	86	2	no	—
1053	C₂²×C₄	—	86	1	no	—
1054	C₂²×C₄	—	86	1	no	—
1055	C₂²×C₄	—	86	2	no	—
1056	C₂²×C₄	—	86	1	no	—
1057	C₂²×C₄	—	86	2	no	—
1058	C₂²×C₄	—	86	2	no	—
1059	C₂²×C₄	—	86	2	no	—
1060	C₂²×C₄	—	86	1	no	—
1061	C₂²×C₄	—	86	1	no	—
1062	C₂²×C₄	—	86	2	no	—
1063	C₂²×C₄	—	86	2	no	—
1064	C₂²×C₄	—	86	2	no	—
1065	C₂²×C₄	—	344	4	no	—
1066	C₂²×C₄	—	344	4	no	—
1067	C₂²×C₄	—	344	4	no	—
1068	C₂²×C₄	—	344	2	no	—
1069	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1070	SD₁₆	—	43	8	no	—
1071	SD₁₆	—	43	8	no	—
1072	SD₁₆	—	43	8	no	—
1073	SD₁₆	C₂×C₄×D₄₃	1	8	yes	complemented
1074	D₈	—	43	8	no	—
1075	D₈	—	43	8	no	—
1076	D₈	—	43	8	no	—
1077	D₈	C₂×C₄×D₄₃	1	8	yes	complemented
1078	M₁₆	—	43	4	no	—
1079	M₁₆	—	43	8	no	—
1080	M₁₆	C₂×C₄×D₄₃	1	4	yes	complemented
1081	C₂×C₈	—	2	2	no	—
1082	C₂×C₈	—	43	2	no	—
1083	C₂×C₈	—	43	8	no	—
1084	C₂×C₈	—	43	1	no	—
1085	C₂×C₈	—	43	1	no	—
1086	C₂×C₈	—	86	2	no	—
1087	C₂×C₈	—	86	2	no	—
1088	C₂×C₈	—	86	2	no	—
1089	C₂×C₈	—	86	2	no	—
1090	C₂×C₈	—	86	2	no	—
1091	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1092	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1093	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	43	2	no	—
1097	C₄⋊C₄	—	43	1	no	—
1098	C₄⋊C₄	—	43	2	no	—
1099	C₄⋊C₄	—	43	1	no	—
1100	C₄⋊C₄	—	43	2	no	—
1101	C₄⋊C₄	—	43	1	no	—
1102	C₄⋊C₄	—	43	1	no	—
1103	C₄⋊C₄	—	86	2	no	—
1104	C₄⋊C₄	—	86	2	no	—
1105	C₄⋊C₄	—	86	1	no	—
1106	C₄⋊C₄	—	86	1	no	—
1107	C₄⋊C₄	—	86	2	no	—
1108	C₄⋊C₄	—	86	2	no	—
1109	C₄⋊C₄	—	86	1	no	—
1110	C₄⋊C₄	—	86	2	no	—
1111	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1112	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1113	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1114	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1115	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	2	no	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	43	2	no	—
1121	C₂²⋊C₄	—	43	2	no	—
1122	C₂²⋊C₄	—	43	2	no	—
1123	C₂²⋊C₄	—	86	2	no	—
1124	C₂²⋊C₄	—	86	2	no	—
1125	C₂²⋊C₄	—	86	2	no	—
1126	C₂²⋊C₄	—	86	1	no	—
1127	C₂²⋊C₄	—	86	1	no	—
1128	C₂²⋊C₄	—	86	2	no	—
1129	C₂²⋊C₄	—	86	2	no	—
1130	C₂²⋊C₄	—	86	2	no	—
1131	C₂²⋊C₄	—	86	1	no	—
1132	C₂²⋊C₄	—	86	2	no	—
1133	C₂²⋊C₄	—	86	2	no	—
1134	C₂²⋊C₄	—	86	2	no	—
1135	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
1136	C₄²	—	2	2	no	—
1137	C₄²	—	2	1	no	—
1138	C₄²	—	43	2	no	—
1139	C₄²	—	43	2	no	—
1140	C₄²	—	43	2	no	—
1141	C₄²	—	86	1	no	—
1142	C₄²	—	86	1	no	—
1143	C₄²	—	86	2	no	—
1144	C₄²	—	86	2	no	—
1145	C₄²	—	86	1	no	—
1146	C₄²	—	86	2	no	—
1147	C₄²	C₂³×D₄₃	1	2	yes	—
1148	C₂³	—	2	1	no	—
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	4	no	—
1151	C₂³	—	8	1	no	—
1152	C₂³	—	8	1	no	—
1153	C₂³	—	43	1	no	—
1154	C₂³	—	43	4	no	—
1155	C₂³	—	43	1	no	—
1156	C₂³	—	86	2	no	—
1157	C₂³	—	86	2	no	—
1158	C₂³	—	86	8	no	—
1159	C₂³	—	86	4	no	—
1160	C₂³	—	86	8	no	—
1161	C₂³	—	86	4	no	—
1162	C₂³	—	86	1	no	—
1163	C₂³	—	86	2	no	—
1164	C₂³	—	344	1	no	—
1165	C₂³	—	344	1	no	—
1166	C₂³	—	344	2	no	—
1167	C₂³	—	344	2	no	—
1168	C₂³	—	344	16	no	—
1169	C₂³	—	172	2	no	—
1170	C₂³	—	172	4	no	—
1171	C₂³	—	172	4	no	—
1172	C₂³	—	172	2	no	—
1173	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1174	Q₈	—	2	1	no	—
1175	Q₈	—	43	2	no	—
1176	Q₈	—	86	4	no	—
1177	Q₈	—	86	1	no	—
1178	Q₈	C₂²×C₄×D₄₃	1	2	yes	—
1179	D₄	—	2	4	no	—
1180	D₄	—	2	4	no	—
1181	D₄	—	2	2	no	—
1182	D₄	—	2	1	no	—
1183	D₄	—	43	2	no	—
1184	D₄	—	43	4	no	—
1185	D₄	—	86	4	no	—
1186	D₄	—	86	8	no	—
1187	D₄	—	86	8	no	—
1188	D₄	—	86	4	no	—
1189	D₄	—	86	4	no	—
1190	D₄	—	86	4	no	—
1191	D₄	—	86	4	no	—
1192	D₄	—	86	2	no	—
1193	D₄	—	86	1	no	—
1194	D₄	C₂²×C₄×D₄₃	1	2	yes	—
1195	D₄	C₂²×C₄×D₄₃	1	4	yes	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	8	2	no	—
1202	C₂×C₄	—	8	2	no	—
1203	C₂×C₄	—	8	2	no	—
1204	C₂×C₄	—	8	1	no	—
1205	C₂×C₄	—	43	4	no	—
1206	C₂×C₄	—	43	1	no	—
1207	C₂×C₄	—	43	1	no	—
1208	C₂×C₄	—	43	4	no	—
1209	C₂×C₄	—	43	4	no	—
1210	C₂×C₄	—	43	2	no	—
1211	C₂×C₄	—	43	2	no	—
1212	C₂×C₄	—	43	2	no	—
1213	C₂×C₄	—	43	2	no	—
1214	C₂×C₄	—	43	2	no	—
1215	C₂×C₄	—	43	2	no	—
1216	C₂×C₄	—	86	4	no	—
1217	C₂×C₄	—	86	4	no	—
1218	C₂×C₄	—	86	4	no	—
1219	C₂×C₄	—	86	4	no	—
1220	C₂×C₄	—	86	4	no	—
1221	C₂×C₄	—	86	1	no	—
1222	C₂×C₄	—	86	4	no	—
1223	C₂×C₄	—	86	1	no	—
1224	C₂×C₄	—	86	1	no	—
1225	C₂×C₄	—	86	2	no	—
1226	C₂×C₄	—	344	2	no	—
1227	C₂×C₄	—	344	2	no	—
1228	C₂×C₄	—	344	2	no	—
1229	C₂×C₄	—	344	2	no	—
1230	C₂×C₄	—	344	2	no	—
1231	C₂×C₄	—	344	2	no	—
1232	C₂×C₄	—	344	2	no	—
1233	C₂×C₄	—	344	2	no	—
1234	C₂×C₄	—	344	2	no	—
1235	C₂×C₄	—	344	2	no	—
1236	C₂×C₄	—	344	1	no	—
1237	C₂×C₄	—	172	2	no	—
1238	C₂×C₄	—	172	4	no	—
1239	C₂×C₄	—	172	2	no	—
1240	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1241	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1242	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1243	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1244	C₂×C₄	#41×D₄₃	1	2	yes	—
1245	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1246	C₈	—	2	1	no	—
1247	C₈	—	2	1	no	—
1248	C₈	—	43	4	no	—
1249	C₈	—	86	1	no	—
1250	C₈	—	86	1	no	—
1251	C₈	C₂²×C₄×D₄₃	1	4	yes	—
1252	C₂²	—	2	1	no	—
1253	C₂²	—	2	1	no	—
1254	C₂²	—	2	2	no	—
1255	C₂²	—	2	4	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	2	no	—
1258	C₂²	—	4	2	no	—
1259	C₂²	—	4	1	no	—
1260	C₂²	—	8	4	no	—
1261	C₂²	—	43	2	no	—
1262	C₂²	—	43	2	no	—
1263	C₂²	—	43	2	no	—
1264	C₂²	—	43	2	no	—
1265	C₂²	—	86	8	no	—
1266	C₂²	—	86	1	no	—
1267	C₂²	—	86	1	no	—
1268	C₂²	—	86	2	no	—
1269	C₂²	—	86	4	no	—
1270	C₂²	—	344	4	no	—
1271	C₂²	—	344	8	no	—
1272	C₂²	—	172	16	no	—
1273	C₂²	—	172	8	no	—
1274	C₂²	—	172	1	no	—
1275	C₂²	—	172	2	no	—
1276	C₂²	—	172	2	no	—
1277	C₂²	—	172	1	no	—
1278	C₂²	C₄×D₄×D₄₃	1	2	yes	—
1279	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1280	C₄	—	2	2	no	—
1281	C₄	—	2	2	no	—
1282	C₄	—	2	2	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	2	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	43	2	no	—
1287	C₄	—	43	2	no	—
1288	C₄	—	86	2	no	—
1289	C₄	—	86	2	no	—
1290	C₄	—	86	2	no	—
1291	C₄	—	172	1	no	—
1292	C₄	—	172	2	no	—
1293	C₄	—	172	1	no	—
1294	C₄	C₄×D₄×D₄₃	1	2	yes	—
1295	C₄	C₂³×C₄×D₄₃	1	1	yes	characteristic
1296	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1297	C₂	—	2	2	no	—
1298	C₂	—	4	4	no	—
1299	C₂	—	4	2	no	—
1300	C₂	—	43	4	no	—
1301	C₂	—	86	2	no	—
1302	C₂	—	172	4	no	—
1303	C₂	—	172	2	no	—
1304	C₂	C₂×C₄×D₄×D₄₃	1	1	yes	characteristic
1305	C₂	#576×D₄₃	1	1	yes	characteristic
1306	C₂	#577×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator	C₄×C₄₃	C₂⁴×C₄
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#2946	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	C₂×AGL(1,ℤ/8)×D₄₃	C₂
cosocle	C₂×C₄×C₄₃	C₂⁵
hypercenter	#2946	D₄₃
hypocenter	C₄₃	C₂×#2946
LCS	G ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #2946

Complements

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

N	H ≅ G/N	type
2. #520×D₄₃	C₂	semidirect
3. #518×D₄₃	C₂	semidirect
4. #19143430	C₂	semidirect
5. #19143429	C₂	semidirect
6. #19143428	C₂	semidirect
7. #19143427	C₂	semidirect
8. #19143426	C₂	semidirect
9. #19143425	C₂	semidirect
10. #19143424	C₂	semidirect
11. #19143423	C₂	semidirect
12. #19143422	C₂	semidirect
13. #19143421	C₂	semidirect
14. #19143420	C₂	semidirect
15. #442×D₄₃	C₂	semidirect
16. #440×D₄₃	C₂	semidirect
17. C₄×SD₁₆×D₄₃	C₂	semidirect
18. C₄×D₈×D₄₃	C₂	semidirect
19. #428×D₄₃	C₂	semidirect
20. #416×D₄₃	C₂	semidirect
21. C₂×#102×D₄₃	C₂	semidirect
22. #405×D₄₃	C₂	semidirect
23. C₄₃×#2946	C₂	semidirect
31. AGL(1,ℤ/8)×D₄₃	C₄	semidirect
36. #14583382	C₂²	semidirect
37. #14583381	C₂²	semidirect
39. #14583380	C₂²	semidirect
41. #14583379	C₂²	semidirect
43. #14583378	C₂²	semidirect
44. #14583374	C₂²	semidirect
45. #14583373	C₂²	semidirect
46. #14583373	C₂²	semidirect
50. #14583371	C₂²	semidirect
51. #14583371	C₂²	semidirect
52. C₄×Q₈×D₄₃	C₂²	semidirect
58. C₄×D₄×D₄₃	C₂²	semidirect
65. #14583012	C₂²	semidirect
66. #14583011	C₂²	semidirect
67. #14583010	C₂²	semidirect
68. #14583009	C₂²	semidirect
69. #14583009	C₂²	semidirect
70. #14583008	C₂²	semidirect
71. #14583008	C₂²	semidirect
72. #14583002	C₂²	semidirect
73. #14583001	C₂²	semidirect
74. #14583000	C₂²	semidirect
75. #14582999	C₂²	semidirect
76. #14582998	C₂²	semidirect
77. #14582997	C₂²	semidirect
78. #14582996	C₂²	semidirect
79. #14582990	C₂²	semidirect
80. C₄×#10621873	C₂²	semidirect
81. SD₁₆×Dic₄₃	C₂²	semidirect
82. C₄×#10621884	C₂²	semidirect
83. #14582986	C₂²	semidirect
84. C₄×#10621883	C₂²	semidirect
85. #14582984	C₂²	semidirect
86. C₄×D₃₄₄	C₂²	semidirect
87. D₈×Dic₄₃	C₂²	semidirect
88. #14582981	C₂²	semidirect
89. C₄×#10621882	C₂²	semidirect
90. C₄×#10621882	C₂²	semidirect
91. #14582979	C₂²	semidirect
92. #14582979	C₂²	semidirect
93. #14582942	C₂²	semidirect
94. #14582941	C₂²	semidirect
95. #14582940	C₂²	semidirect
96. #14582939	C₂²	semidirect
97. #14582938	C₂²	semidirect
98. #107×D₄₃	C₂²	semidirect
99. #106×D₄₃	C₂²	semidirect
100. #14582896	C₂²	semidirect
101. #14582895	C₂²	semidirect
102. #14582894	C₂²	semidirect
103. #14582894	C₂²	semidirect
104. #14582893	C₂²	semidirect
105. #14582892	C₂²	semidirect
106. #14582892	C₂²	semidirect
107. #103×D₄₃	C₂²	semidirect
108. #103×D₄₃	C₂²	semidirect
109. C₂×#13063247	C₂²	semidirect
110. C₂×#13063246	C₂²	semidirect
111. C₂×#13063245	C₂²	semidirect
114. #102×D₄₃	C₂²	semidirect
115. #102×D₄₃	C₂²	semidirect
116. #102×D₄₃	C₂²	semidirect
117. #102×D₄₃	C₂²	semidirect
118. #14582857	C₂²	semidirect
119. #14582856	C₂²	semidirect
120. #14582855	C₂²	semidirect
121. #14582854	C₂²	semidirect
122. #14582853	C₂²	semidirect
123. #97×D₄₃	C₂²	semidirect
124. C₄×C₈×D₄₃	C₂²	semidirect
126. C₄₃×#520	C₂²	semidirect
127. C₄₃×#518	C₂²	semidirect
128. C₄₃×#442	C₂²	semidirect
129. C₄₃×#440	C₂²	semidirect
130. C₄×SD₁₆×C₄₃	C₂²	semidirect
131. C₄×D₈×C₄₃	C₂²	semidirect
132. C₄₃×#428	C₂²	semidirect
133. C₄₃×#416	C₂²	semidirect
134. C₂×#102×C₄₃	C₂²	semidirect
135. C₄₃×#405	C₂²	semidirect
143. #41×D₄₃	C₂×C₄	semidirect
151. C₂×D₄×D₄₃	C₂×C₄	semidirect
161. #13063353	C₂×C₄	semidirect
162. #13063352	C₂×C₄	semidirect
163. #13063351	C₂×C₄	semidirect
164. #13063350	C₂×C₄	semidirect
165. #13063349	C₂×C₄	semidirect
169. SD₁₆×D₄₃	C₂×C₄	semidirect
173. D₈×D₄₃	C₂×C₄	semidirect
176. M₁₆×D₄₃	C₂×C₄	semidirect
184. Q₈×Dic₄₃	C₂³	semidirect
186. C₄×Dic₈₆	C₂³	semidirect
188. #13063290	C₂³	semidirect
194. C₄×D₁₇₂	C₂³	semidirect
200. D₄×Dic₄₃	C₂³	semidirect
206. #13063287	C₂³	semidirect
267. #13063259	C₂³	semidirect
268. #13063258	C₂³	semidirect
269. #13063258	C₂³	semidirect
270. #13063257	C₂³	semidirect
271. #13063256	C₂³	semidirect
272. #13063256	C₂³	semidirect
273. #13063250	C₂³	semidirect
274. #13063250	C₂³	semidirect
275. #13063249	C₂³	semidirect
276. #13063249	C₂³	semidirect
277. #13063248	C₂³	semidirect
278. #13063248	C₂³	semidirect
281. #13063247	C₂³	semidirect
282. #13063247	C₂³	semidirect
285. #13063246	C₂³	semidirect
286. #13063246	C₂³	semidirect
289. #13063245	C₂³	semidirect
290. #13063245	C₂³	semidirect
291. #13063236	C₂³	semidirect
292. #13063235	C₂³	semidirect
293. #13063235	C₂³	semidirect
294. C₄×C₄₃⋊C₈	C₂³	semidirect
295. C₈×Dic₄₃	C₂³	semidirect
296. C₈×Dic₄₃	C₂³	semidirect
299. AGL(1,ℤ/8)×C₄₃	C₂×C₄	semidirect
304. C₄×Q₈×C₄₃	C₂³	semidirect
310. C₄×D₄×C₄₃	C₂³	semidirect
317. #107×C₄₃	C₂³	semidirect
318. #106×C₄₃	C₂³	semidirect
319. #103×C₄₃	C₂³	semidirect
320. #103×C₄₃	C₂³	semidirect
323. #102×C₄₃	C₂³	semidirect
324. #102×C₄₃	C₂³	semidirect
325. #97×C₄₃	C₂³	semidirect
326. C₄×C₈×C₄₃	C₂³	semidirect
337. #41×C₄₃	C₂²×C₄	semidirect
342. C₂×D₄×C₄₃	C₂²×C₄	semidirect
364. #10621902	C₂²×C₄	semidirect
369. #10621900	C₂²×C₄	semidirect
378. D₄×D₄₃	C₂²×C₄	semidirect
381. #10621898	C₂²×C₄	semidirect
385. C₂×D₁₇₂	C₂²×C₄	semidirect
416. SD₁₆×C₄₃	C₂²×C₄	semidirect
417. D₈×C₄₃	C₂²×C₄	semidirect
418. M₁₆×C₄₃	C₂²×C₄	semidirect
443. #10621884	C₂²×C₄	semidirect
444. #10621883	C₂²×C₄	semidirect
445. #10621882	C₂²×C₄	semidirect
446. #10621882	C₂²×C₄	semidirect
481. #10621877	C₂²×C₄	semidirect
486. D₃₄₄	C₂²×C₄	semidirect
487. #10621873	C₂²×C₄	semidirect
488. #10621872	C₂²×C₄	semidirect
658. #2946	D₄₃	direct (N × H)
676. D₄₃	#2946	direct (N × H)
698. #520	C₂×D₄₃	semidirect
707. #518	C₂×D₄₃	semidirect
728. #442	C₂×D₄₃	semidirect
736. #440	C₂×D₄₃	semidirect
744. C₄×SD₁₆	C₂×D₄₃	semidirect
752. C₄×D₈	C₂×D₄₃	semidirect
758. #428	C₂×D₄₃	semidirect
768. #416	C₂×D₄₃	semidirect
780. C₂×#102	C₂×D₄₃	semidirect
786. #405	C₂×D₄₃	semidirect
789. C₄₃	C₂×#2946	semidirect
822. AGL(1,ℤ/8)	C₄×D₄₃	semidirect
850. C₄×Q₈	C₂²×D₄₃	semidirect
888. C₄×D₄	C₂²×D₄₃	semidirect
944. #107	C₂²×D₄₃	semidirect
948. #106	C₂²×D₄₃	semidirect
955. #103	C₂²×D₄₃	semidirect
956. #103	C₂²×D₄₃	semidirect
971. #102	C₂²×D₄₃	semidirect
972. #102	C₂²×D₄₃	semidirect
976. #97	C₂²×D₄₃	semidirect
980. C₄×C₈	C₂²×D₄₃	semidirect
999. #41	C₂×C₄×D₄₃	semidirect
1029. C₂×D₄	C₂×C₄×D₄₃	semidirect
1073. SD₁₆	C₂×C₄×D₄₃	semidirect
1077. D₈	C₂×C₄×D₄₃	semidirect
1080. M₁₆	C₂×C₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×AGL(1,ℤ/8)×D₄₃	2
#520×D₄₃	2
#518×D₄₃	2
#19143430	2
#19143429	2
#19143428	2
#19143427	2
#19143426	2
#19143425	2
#19143424	2
#19143423	2
#19143422	2
#19143421	2
#19143420	2
#442×D₄₃	2
#440×D₄₃	2
C₄×SD₁₆×D₄₃	2
C₄×D₈×D₄₃	2
#428×D₄₃	2
#416×D₄₃	2
C₂×#102×D₄₃	2
#405×D₄₃	2
C₄₃×#2946	2
C₂×#2946	43

Subgroups — D43×#2946 #25960686

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#2946 #25960686