Subgroups — #25960775

Order 11008.

2882 conjugacy classes of subgroups.

The subgroup lattice has 1300 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	#19147795	C₂	1	1	yes	maximal, characteristic, complemented
3	#518×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#19143451	C₂	1	2	yes	maximal, complemented
5	#19143449	C₂	1	2	yes	maximal, complemented
6	#19143444	C₂	1	2	yes	maximal, complemented
7	#19143442	C₂	1	2	yes	maximal, complemented
8	#19143430	C₂	1	1	yes	maximal, characteristic, complemented
9	#19143429	C₂	1	1	yes	maximal, characteristic, complemented
10	#19143428	C₂	1	1	yes	maximal, characteristic, complemented
11	#19143427	C₂	1	1	yes	maximal, characteristic, complemented
12	#19143425	C₂	1	1	yes	maximal, characteristic, complemented
13	#19143423	C₂	1	1	yes	maximal, characteristic, complemented
14	#19143421	C₂	1	1	yes	maximal, characteristic, complemented
15	#19143406	C₂	1	2	yes	maximal, complemented
16	C₄×#13063352	C₂	1	2	yes	maximal, complemented
17	#19143400	C₂	1	2	yes	maximal, complemented
18	C₄×#13063349	C₂	1	2	yes	maximal, complemented
19	#19143182	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143110	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14582902	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143011	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	C₂²×#10621872	C₂²	1	1	yes	characteristic
35	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
36	#14583382	C₂²	1	1	yes	characteristic, complemented
37	#14583380	—	2	1	no	—
38	#14583380	C₂²	1	1	yes	characteristic, complemented
39	#14583379	—	2	1	no	—
40	#14583379	C₂²	1	1	yes	characteristic, complemented
41	#14583375	C₂²	1	2	yes	complemented
42	#14583374	C₂²	1	1	yes	characteristic, complemented
43	#14583373	C₂²	1	1	yes	characteristic, complemented
44	#14583373	C₂²	1	1	yes	characteristic, complemented
45	#14583372	—	2	2	no	—
46	#14583371	—	2	1	no	—
47	#14583371	—	2	1	no	—
48	#14583371	—	2	2	no	—
49	#14583371	C₂²	1	2	yes	—
50	#14583371	C₂²	1	2	yes	—
51	#14583371	C₂²	1	2	yes	complemented
52	C₄×#10621902	C₂²	1	2	yes	complemented
53	C₄×#10621900	—	2	2	no	—
54	C₄×#10621900	C₂²	1	2	yes	complemented
55	C₄×D₄×D₄₃	—	2	1	no	—
56	C₄×D₄×D₄₃	—	2	1	no	—
57	C₄×D₄×D₄₃	C₂²	1	2	yes	complemented
58	C₄×D₄×D₄₃	C₂²	1	2	yes	complemented
59	C₂×#13063283	—	2	1	no	—
60	C₂×#13063283	C₂²	1	1	yes	characteristic
61	#117×D₄₃	—	2	1	no	—
62	#117×D₄₃	C₂²	1	1	yes	characteristic
63	#117×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	#14582936	C₂²	1	2	yes	complemented
99	#14582934	C₂²	1	2	yes	complemented
100	#14582906	C₂²	1	1	yes	characteristic, complemented
101	#14582906	C₂²	1	1	yes	characteristic, complemented
102	#14582902	C₂²	1	2	yes	—
103	#14582902	C₂²	1	2	yes	—
104	#14582902	C₂²	1	2	yes	complemented
105	#14582902	C₂²	1	2	yes	complemented
106	#14582902	C₂²	1	1	yes	characteristic, complemented
107	#14582902	C₂²	1	1	yes	characteristic, complemented
108	#14582899	C₂²	1	1	yes	characteristic, complemented
109	#14582899	C₂²	1	1	yes	characteristic, complemented
110	#14582897	C₂²	1	1	yes	characteristic, complemented
111	#14582897	C₂²	1	1	yes	characteristic, complemented
112	#14582896	C₂²	1	1	yes	characteristic, complemented
113	#14582895	C₂²	1	1	yes	characteristic, complemented
114	#14582893	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13063247	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13063246	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13063245	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	#14582851	C₂²	1	2	yes	complemented
124	C₄×#10621872	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	2	yes	—
154	C₂×D₄×D₄₃	C₂³	1	1	yes	characteristic
155	C₂²×C₄×D₄₃	—	2	1	no	—
156	C₂²×C₄×D₄₃	—	2	2	no	—
157	C₂²×C₄×D₄₃	—	2	2	no	—
158	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
159	#13063353	C₂×C₄	1	8	yes	complemented
160	#13063352	C₂×C₄	1	16	yes	complemented
161	#13063351	C₂×C₄	1	8	yes	complemented
162	#13063350	C₂×C₄	1	8	yes	complemented
163	#13063349	C₂×C₄	1	16	yes	complemented
164	C₂×#10621873	C₂³	1	2	yes	—
165	C₂×#10621883	C₂³	1	2	yes	—
166	C₂×#10621884	C₂³	1	2	yes	—
167	SD₁₆×D₄₃	C₂×C₄	1	16	yes	complemented
168	C₂×D₃₄₄	C₂³	1	2	yes	—
169	C₂×#10621882	C₂³	1	2	yes	—
170	C₂×#10621882	C₂³	1	2	yes	—
171	D₈×D₄₃	C₂×C₄	1	16	yes	complemented
172	C₂×#10621877	C₂³	1	1	yes	characteristic
173	C₂×#10621872	—	2	4	no	—
174	C₂×#10621872	C₂³	1	1	yes	characteristic
175	C₂×#10621872	C₂³	1	1	yes	characteristic
176	C₂×#10621872	C₂³	1	1	yes	characteristic
177	C₂×#10621872	C₂³	1	1	yes	characteristic
178	C₂×#10621872	C₂³	1	2	yes	—
179	M₁₆×D₄₃	C₂×C₄	1	8	yes	complemented
180	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
181	C₂×C₈×D₄₃	C₂³	1	2	yes	—
182	Q₈×Dic₄₃	C₂³	1	2	yes	complemented
183	C₄×Dic₈₆	—	2	2	no	—
184	C₄×Dic₈₆	C₂³	1	2	yes	complemented
185	#13063290	—	2	2	no	—
186	#13063290	C₂³	1	2	yes	complemented
187	C₄×D₁₇₂	—	2	2	no	—
188	C₄×D₁₇₂	—	2	1	no	—
189	C₄×D₁₇₂	—	2	1	no	—
190	C₄×D₁₇₂	C₂³	1	2	yes	—
191	C₄×D₁₇₂	C₂³	1	2	yes	—
192	C₄×D₁₇₂	C₂³	1	2	yes	complemented
193	D₄×Dic₄₃	—	2	2	no	—
194	D₄×Dic₄₃	—	2	1	no	—
195	D₄×Dic₄₃	—	2	1	no	—
196	D₄×Dic₄₃	C₂³	1	2	yes	—
197	D₄×Dic₄₃	C₂³	1	2	yes	—
198	D₄×Dic₄₃	C₂³	1	2	yes	complemented
199	#13063287	—	2	2	no	—
200	#13063287	—	2	1	no	—
201	#13063287	—	2	1	no	—
202	#13063287	C₂³	1	2	yes	—
203	#13063287	C₂³	1	2	yes	—
204	#13063287	C₂³	1	2	yes	complemented
205	C₄×C₂²⋊D₄₃	—	2	2	no	—
206	C₄×C₂²⋊D₄₃	—	2	2	no	—
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	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
213	(C₂²⋊D₄₃)⋊C₄	—	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	#13063284	—	2	1	no	—
220	#13063284	C₂³	1	1	yes	characteristic
221	#13063284	C₂³	1	1	yes	characteristic
222	#13063283	—	2	1	no	—
223	#13063283	—	2	1	no	—
224	#13063283	—	2	1	no	—
225	#13063283	—	2	2	no	—
226	#13063283	—	2	1	no	—
227	#13063283	—	2	2	no	—
228	#13063283	D₄	1	1	yes	characteristic
229	#13063283	D₄	1	1	yes	characteristic
230	#13063283	C₂³	1	1	yes	characteristic
231	#13063283	C₂³	1	1	yes	characteristic
232	#13063283	C₂³	1	2	yes	—
233	#13063283	C₂³	1	2	yes	—
234	#13063282	—	2	1	no	—
235	#13063282	—	2	2	no	—
236	#13063282	C₂³	1	2	yes	—
237	#13063281	—	2	1	no	—
238	#13063281	—	2	2	no	—
239	#13063281	D₄	1	2	yes	—
240	C₂×C₄⋊Dic₄₃	—	2	1	no	—
241	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₄⋊C₄×D₄₃	—	2	1	no	—
243	C₄⋊C₄×D₄₃	—	2	1	no	—
244	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
245	C₄⋊C₄×D₄₃	D₄	1	1	yes	characteristic
246	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
247	C₄⋊C₄×D₄₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₃	—	2	2	no	—
249	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
250	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
251	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
252	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
253	C₂²⋊C₄×D₄₃	—	2	1	no	—
254	C₂²⋊C₄×D₄₃	—	2	2	no	—
255	C₂²⋊C₄×D₄₃	—	2	2	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	D₄	1	2	yes	—
262	C₂×C₄×Dic₄₃	—	2	1	no	—
263	C₂×C₄×Dic₄₃	—	2	2	no	—
264	C₄²×D₄₃	—	2	1	no	—
265	C₄²×D₄₃	—	2	2	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	2	no	—
330	C₂³×D₄₃	—	2	8	no	—
331	C₂³×D₄₃	—	2	1	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	—
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	—
365	Q₈×D₄₃	—	2	2	no	—
366	Q₈×D₄₃	C₂²×C₄	1	4	yes	complemented
367	#10621900	—	2	8	no	—
368	#10621900	—	2	2	no	—
369	#10621900	C₂²×C₄	1	4	yes	—
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	8	yes	—
377	D₄×D₄₃	C₂²×C₄	1	8	yes	—
378	D₄×D₄₃	C₂²×C₄	1	4	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	—
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	—	8	4	no	—
401	C₂×C₄×D₄₃	—	8	4	no	—
402	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
403	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
404	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
405	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
406	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
407	C₂×C₄×D₄₃	#41	1	4	yes	—
408	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
410	C₂×Dic₈₆	—	2	1	no	—
411	C₂×Dic₈₆	C₂⁴	1	1	yes	characteristic
412	SD₁₆×C₄₃	C₂²×C₄	1	8	yes	complemented
413	D₈×C₄₃	C₂²×C₄	1	8	yes	complemented
414	M₁₆×C₄₃	C₂²×C₄	1	4	yes	complemented
415	C₂×C₈×C₄₃	—	2	2	no	—
416	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
418	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
419	C₄⋊C₄×C₄₃	—	2	1	no	—
420	C₄⋊C₄×C₄₃	—	2	2	no	—
421	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
422	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
423	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
424	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
425	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
426	C₂²⋊C₄×C₄₃	—	2	2	no	—
427	C₂²⋊C₄×C₄₃	—	2	2	no	—
428	C₂²⋊C₄×C₄₃	—	2	2	no	—
429	C₂²⋊C₄×C₄₃	—	2	1	no	—
430	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
431	C₄²×C₄₃	—	2	2	no	—
432	C₄²×C₄₃	—	2	1	no	—
433	C₄²×C₄₃	C₂⁴	1	2	yes	—
434	C₂²⋊Dic₄₃	—	2	2	no	—
435	C₂²⋊Dic₄₃	—	2	2	no	—
436	C₂²⋊Dic₄₃	—	2	2	no	—
437	C₂²⋊Dic₄₃	—	2	1	no	—
438	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
439	#10621884	C₂²×C₄	1	8	yes	complemented
440	#10621883	C₂²×C₄	1	8	yes	complemented
441	#10621882	C₂²×C₄	1	8	yes	complemented
442	#10621882	C₂²×C₄	1	8	yes	complemented
443	(C₂×D₄₃)⋊C₄	—	2	2	no	—
444	(C₂×D₄₃)⋊C₄	—	2	2	no	—
445	(C₂×D₄₃)⋊C₄	—	2	2	no	—
446	(C₂×D₄₃)⋊C₄	—	2	2	no	—
447	(C₂×D₄₃)⋊C₄	—	2	2	no	—
448	(C₂×D₄₃)⋊C₄	—	2	2	no	—
449	(C₂×D₄₃)⋊C₄	—	2	1	no	—
450	(C₂×D₄₃)⋊C₄	—	2	1	no	—
451	(C₂×D₄₃)⋊C₄	—	2	2	no	—
452	(C₂×D₄₃)⋊C₄	—	2	2	no	—
453	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
454	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
455	C₄⋊Dic₄₃	—	2	1	no	—
456	C₄⋊Dic₄₃	—	2	2	no	—
457	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
458	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
459	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
460	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
461	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
462	Dic₄₃⋊C₄	—	2	2	no	—
463	Dic₄₃⋊C₄	—	2	2	no	—
464	Dic₄₃⋊C₄	—	2	1	no	—
465	Dic₄₃⋊C₄	—	2	1	no	—
466	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
467	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
468	C₄×Dic₄₃	—	2	1	no	—
469	C₄×Dic₄₃	—	2	2	no	—
470	C₄×Dic₄₃	—	2	2	no	—
471	C₄×Dic₄₃	—	2	1	no	—
472	C₄×Dic₄₃	—	2	1	no	—
473	C₄×Dic₄₃	—	2	2	no	—
474	C₄×Dic₄₃	—	2	2	no	—
475	C₄×Dic₄₃	—	2	2	no	—
476	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
477	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
478	C₄×Dic₄₃	C₂⁴	1	2	yes	—
479	#10621877	C₂²×C₄	1	4	yes	complemented
480	C₂×C₄₃⋊C₈	—	2	2	no	—
481	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
482	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
483	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
484	D₃₄₄	C₂²×C₄	1	8	yes	complemented
485	#10621873	C₂²×C₄	1	8	yes	complemented
486	#10621872	—	2	2	no	—
487	#10621872	—	2	2	no	—
488	#10621872	—	2	2	no	—
489	#10621872	—	2	2	no	—
490	#10621872	C₂²×C₄	1	8	yes	—
491	C₈×D₄₃	C₂²×C₄	1	8	yes	complemented
492	C₂³×C₄₃	—	2	1	no	—
493	C₂³×C₄₃	—	2	2	no	—
494	C₂³×C₄₃	—	2	4	no	—
495	C₂³×C₄₃	—	8	1	no	—
496	C₂³×C₄₃	—	8	1	no	—
497	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
498	C₂²×D₄₃	—	2	1	no	—
499	C₂²×D₄₃	—	2	2	no	—
500	C₂²×D₄₃	—	2	4	no	—
501	C₂²×D₄₃	—	2	8	no	—
502	C₂²×D₄₃	—	2	4	no	—
503	C₂²×D₄₃	—	2	8	no	—
504	C₂²×D₄₃	—	4	1	no	—
505	C₂²×D₄₃	—	4	1	no	—
506	C₂²×D₄₃	—	4	4	no	—
507	C₂²×D₄₃	—	4	4	no	—
508	C₂²×D₄₃	—	8	1	no	—
509	C₂²×D₄₃	—	8	1	no	—
510	C₂²×D₄₃	—	8	2	no	—
511	C₂²×D₄₃	—	8	2	no	—
512	C₂²×D₄₃	—	8	16	no	—
513	C₂²×D₄₃	—	8	1	no	—
514	C₂²×D₄₃	—	8	1	no	—
515	C₂²×D₄₃	C₄×D₄	1	4	yes	—
516	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
517	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
518	Q₈×C₄₃	—	2	1	no	—
519	Q₈×C₄₃	C₂³×C₄	1	2	yes	—
520	D₄×C₄₃	—	2	4	no	—
521	D₄×C₄₃	—	2	4	no	—
522	D₄×C₄₃	—	2	2	no	—
523	D₄×C₄₃	—	2	1	no	—
524	D₄×C₄₃	C₂³×C₄	1	2	yes	—
525	D₄×C₄₃	C₂³×C₄	1	4	yes	—
526	C₂×C₄×C₄₃	—	2	1	no	—
527	C₂×C₄×C₄₃	—	2	4	no	—
528	C₂×C₄×C₄₃	—	2	2	no	—
529	C₂×C₄×C₄₃	—	2	1	no	—
530	C₂×C₄×C₄₃	—	2	1	no	—
531	C₂×C₄×C₄₃	—	8	2	no	—
532	C₂×C₄×C₄₃	—	8	2	no	—
533	C₂×C₄×C₄₃	—	8	2	no	—
534	C₂×C₄×C₄₃	—	8	1	no	—
535	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
536	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
538	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
540	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
541	C₂²⋊D₄₃	—	2	4	no	—
542	C₂²⋊D₄₃	—	2	4	no	—
543	C₂²⋊D₄₃	—	2	4	no	—
544	C₂²⋊D₄₃	—	2	8	no	—
545	C₂²⋊D₄₃	—	2	8	no	—
546	C₂×Dic₄₃	—	2	1	no	—
547	C₂×Dic₄₃	—	2	4	no	—
548	C₂×Dic₄₃	—	2	2	no	—
549	C₂×Dic₄₃	—	2	1	no	—
550	C₂×Dic₄₃	—	2	1	no	—
551	C₂×Dic₄₃	—	8	2	no	—
552	C₂×Dic₄₃	—	8	2	no	—
553	C₂×Dic₄₃	—	8	2	no	—
554	C₂×Dic₄₃	—	8	1	no	—
555	C₂×Dic₄₃	C₄×D₄	1	4	yes	—
556	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
557	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
558	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
559	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
560	D₁₇₂	—	2	4	no	—
561	D₁₇₂	—	2	4	no	—
562	D₁₇₂	—	2	2	no	—
563	D₁₇₂	—	2	1	no	—
564	D₁₇₂	C₂³×C₄	1	4	yes	—
565	D₁₇₂	C₂³×C₄	1	2	yes	—
566	C₄×D₄₃	—	2	4	no	—
567	C₄×D₄₃	—	2	4	no	—
568	C₄×D₄₃	—	2	4	no	—
569	C₄×D₄₃	—	4	2	no	—
570	C₄×D₄₃	—	4	2	no	—
571	C₄×D₄₃	—	4	2	no	—
572	C₄×D₄₃	—	4	2	no	—
573	C₄×D₄₃	—	8	2	no	—
574	C₄×D₄₃	—	8	2	no	—
575	C₄×D₄₃	—	8	2	no	—
576	C₄×D₄₃	—	8	2	no	—
577	C₄×D₄₃	—	8	2	no	—
578	C₄×D₄₃	—	8	2	no	—
579	C₄×D₄₃	C₄×D₄	1	4	yes	—
580	C₄×D₄₃	C₄×D₄	1	4	yes	—
581	C₄×D₄₃	C₂³×C₄	1	2	yes	—
582	C₄×D₄₃	C₂³×C₄	1	2	yes	—
583	C₄×D₄₃	C₂×#41	1	2	yes	—
584	C₄×D₄₃	C₂×#41	1	2	yes	—
585	Dic₈₆	—	2	1	no	—
586	Dic₈₆	—	2	4	no	—
587	Dic₈₆	C₂³×C₄	1	2	yes	—
588	C₈×C₄₃	—	2	1	no	—
589	C₈×C₄₃	—	2	1	no	—
590	C₈×C₄₃	C₂³×C₄	1	4	yes	—
591	C₄₃⋊C₈	—	2	1	no	—
592	C₄₃⋊C₈	—	2	1	no	—
593	C₄₃⋊C₈	C₂³×C₄	1	4	yes	—
594	#60168	—	43	1	no	maximal, Sylow
595	C₂²×C₄₃	—	2	1	no	—
596	C₂²×C₄₃	—	2	1	no	—
597	C₂²×C₄₃	—	2	4	no	—
598	C₂²×C₄₃	—	2	2	no	—
599	C₂²×C₄₃	—	4	2	no	—
600	C₂²×C₄₃	—	4	2	no	—
601	C₂²×C₄₃	—	4	1	no	—
602	C₂²×C₄₃	—	4	1	no	—
603	C₂²×C₄₃	—	8	4	no	—
604	C₂²×C₄₃	C₂×C₄×D₄	1	2	yes	—
605	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
606	C₂×D₄₃	—	2	1	no	—
607	C₂×D₄₃	—	2	1	no	—
608	C₂×D₄₃	—	2	1	no	—
609	C₂×D₄₃	—	2	1	no	—
610	C₂×D₄₃	—	2	4	no	—
611	C₂×D₄₃	—	2	2	no	—
612	C₂×D₄₃	—	4	4	no	—
613	C₂×D₄₃	—	4	16	no	—
614	C₂×D₄₃	—	4	2	no	—
615	C₂×D₄₃	—	4	2	no	—
616	C₂×D₄₃	—	4	1	no	—
617	C₂×D₄₃	—	4	1	no	—
618	C₂×D₄₃	—	8	4	no	—
619	C₂×D₄₃	—	8	8	no	—
620	C₂×D₄₃	—	8	4	no	—
621	C₂×D₄₃	C₂×C₄×D₄	1	2	yes	—
622	C₂×D₄₃	C₂×C₄×D₄	1	2	yes	—
623	C₄×C₄₃	—	2	2	no	—
624	C₄×C₄₃	—	2	2	no	—
625	C₄×C₄₃	—	2	2	no	—
626	C₄×C₄₃	—	4	1	no	—
627	C₄×C₄₃	—	4	1	no	—
628	C₄×C₄₃	—	4	2	no	—
629	C₄×C₄₃	C₂×C₄×D₄	1	2	yes	—
630	C₄×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
631	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
632	Dic₄₃	—	2	2	no	—
633	Dic₄₃	—	2	2	no	—
634	Dic₄₃	—	2	2	no	—
635	Dic₄₃	—	4	1	no	—
636	Dic₄₃	—	4	1	no	—
637	Dic₄₃	—	4	2	no	—
638	Dic₄₃	C₂×C₄×D₄	1	2	yes	—
639	Dic₄₃	C₂×C₄×D₄	1	2	yes	—
640	C₂²×AGL(1,ℤ/8)	—	43	1	no	—
641	#3428	—	43	1	no	—
642	C₂×#518	—	43	1	no	—
643	#2949	—	43	2	no	—
644	#2949	—	43	2	no	—
645	#2948	—	43	2	no	—
646	#2948	—	43	2	no	—
647	#2946	—	43	1	no	—
648	#2946	—	43	1	no	—
649	#2946	—	43	1	no	—
650	#2946	—	43	1	no	—
651	#2946	—	43	1	no	—
652	#2946	—	43	1	no	—
653	#2946	—	43	1	no	—
654	#2946	D₄₃	1	1	yes	characteristic, complemented
655	C₄×AGL(1,ℤ/8)	—	43	2	no	—
656	C₄×AGL(1,ℤ/8)	—	43	2	no	—
657	C₄×AGL(1,ℤ/8)	—	43	2	no	—
658	C₄×AGL(1,ℤ/8)	—	43	2	no	—
659	#2911	—	43	1	no	—
660	#2896	—	43	1	no	—
661	C₂×#418	—	43	1	no	—
662	#2873	—	43	1	no	—
663	C₂×C₄₃	—	2	2	no	—
664	C₂×C₄₃	—	4	4	no	—
665	C₂×C₄₃	—	4	2	no	—
666	C₂×C₄₃	C₂²×C₄×D₄	1	1	yes	characteristic
667	C₂×C₄₃	#3585	1	1	yes	characteristic
668	C₂×C₄₃	#3585	1	1	yes	characteristic
669	D₄₃	—	2	2	no	—
670	D₄₃	—	2	2	no	—
671	D₄₃	—	4	4	no	—
672	D₄₃	—	4	2	no	—
673	C₂²×#41	—	43	1	no	—
674	C₂³×D₄	—	43	1	no	—
675	C₂×AGL(1,ℤ/8)	—	43	1	no	—
676	C₂×AGL(1,ℤ/8)	—	43	1	no	—
677	C₂×AGL(1,ℤ/8)	—	43	16	no	—
678	C₂×AGL(1,ℤ/8)	—	43	2	no	—
679	C₂×AGL(1,ℤ/8)	—	43	2	no	—
680	C₂×AGL(1,ℤ/8)	—	43	1	no	—
681	C₂×AGL(1,ℤ/8)	C₂×D₄₃	1	1	yes	characteristic
682	C₂²×SD₁₆	—	43	2	no	—
683	C₂²×D₈	—	43	2	no	—
684	C₂²×M₁₆	—	43	1	no	—
685	C₂²×M₁₆	—	43	1	no	—
686	#520	—	43	1	no	—
687	#520	—	43	1	no	—
688	#520	—	43	1	no	—
689	#520	—	86	1	no	—
690	#520	—	86	1	no	—
691	#520	C₂×D₄₃	1	1	yes	characteristic, complemented
692	#519	—	43	2	no	—
693	#518	—	43	1	no	—
694	#518	—	43	2	no	—
695	#518	—	43	2	no	—
696	#518	—	43	2	no	—
697	#518	—	43	1	no	—
698	#518	—	43	1	no	—
699	#518	—	86	2	no	—
700	#518	—	86	2	no	—
701	#518	—	86	1	no	—
702	#518	—	86	1	no	—
703	#518	C₂×D₄₃	1	1	yes	characteristic, complemented
704	C₄×#41	—	43	2	no	—
705	C₄×#41	—	43	2	no	—
706	C₄×#41	—	86	2	no	—
707	C₂×C₄×D₄	—	43	2	no	—
708	C₂×C₄×D₄	—	43	2	no	—
709	C₂×C₄×D₄	—	86	1	no	—
710	C₂×C₄×D₄	—	86	1	no	—
711	C₂×#117	—	43	1	no	—
712	C₂×#117	—	43	1	no	—
713	C₂×#117	—	43	1	no	—
714	C₂×#117	—	86	1	no	—
715	C₂×#117	—	86	1	no	—
716	C₂²×C₂²⋊C₄	—	86	2	no	—
717	#442	—	43	2	no	—
718	#442	—	43	2	no	—
719	#442	—	43	2	no	—
720	#442	—	43	2	no	—
721	#442	—	43	2	no	—
722	#442	—	43	2	no	—
723	#442	—	43	2	no	—
724	#442	C₂×D₄₃	1	2	yes	complemented
725	#440	—	43	2	no	—
726	#440	—	43	2	no	—
727	#440	—	43	2	no	—
728	#440	—	43	2	no	—
729	#440	—	43	2	no	—
730	#440	—	43	2	no	—
731	#440	—	43	2	no	—
732	#440	C₂×D₄₃	1	2	yes	complemented
733	C₄×SD₁₆	—	43	2	no	—
734	C₄×SD₁₆	—	43	2	no	—
735	C₄×SD₁₆	—	43	2	no	—
736	C₄×SD₁₆	—	43	2	no	—
737	C₄×SD₁₆	—	43	2	no	—
738	C₄×SD₁₆	—	43	2	no	—
739	C₄×SD₁₆	—	43	2	no	—
740	C₄×SD₁₆	C₂×D₄₃	1	2	yes	complemented
741	C₄×D₈	—	43	2	no	—
742	C₄×D₈	—	43	2	no	—
743	C₄×D₈	—	43	2	no	—
744	C₄×D₈	—	43	2	no	—
745	C₄×D₈	—	43	2	no	—
746	C₄×D₈	—	43	2	no	—
747	C₄×D₈	—	43	2	no	—
748	C₄×D₈	C₂×D₄₃	1	2	yes	complemented
749	#428	—	43	1	no	—
750	#428	—	43	1	no	—
751	#428	—	43	1	no	—
752	#428	—	43	2	no	—
753	#428	—	43	2	no	—
754	#428	C₂×D₄₃	1	1	yes	characteristic, complemented
755	#427	—	43	2	no	—
756	#427	—	43	2	no	—
757	#419	—	43	1	no	—
758	#419	—	43	1	no	—
759	#418	—	43	2	no	—
760	#418	—	43	2	no	—
761	#418	—	43	2	no	—
762	#418	—	43	2	no	—
763	#418	—	43	1	no	—
764	#418	—	43	1	no	—
765	#417	—	43	1	no	—
766	#417	—	43	1	no	—
767	#417	—	43	1	no	—
768	#417	—	43	1	no	—
769	#416	—	43	1	no	—
770	#416	—	43	1	no	—
771	#416	—	43	1	no	—
772	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
773	C₂×#102	—	43	1	no	—
774	C₂×#102	—	43	1	no	—
775	C₂×#102	—	43	1	no	—
776	C₂×#102	C₂×D₄₃	1	1	yes	characteristic, complemented
777	#405	—	43	1	no	—
778	#405	—	43	1	no	—
779	#405	—	43	1	no	—
780	#405	—	43	2	no	—
781	#405	—	43	2	no	—
782	#405	C₂×D₄₃	1	1	yes	characteristic, complemented
783	C₄×M₁₆	—	43	2	no	—
784	C₄×M₁₆	—	43	2	no	—
785	C₄₃	#60168	1	1	yes	characteristic, complemented, Sylow
786	C₂⁵	—	86	1	no	—
787	C₂×#41	—	43	8	no	—
788	C₂×#41	—	43	1	no	—
789	C₂×#41	—	43	1	no	—
790	C₂×#41	—	43	1	no	—
791	C₂×#41	—	86	1	no	—
792	C₂×#41	—	86	1	no	—
793	C₂×#41	—	86	4	no	—
794	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
795	C₂²×Q₈	—	43	1	no	—
796	C₂²×D₄	—	43	8	no	—
797	C₂²×D₄	—	43	2	no	—
798	C₂²×D₄	—	43	1	no	—
799	C₂²×D₄	—	43	2	no	—
800	C₂²×D₄	—	43	1	no	—
801	C₂²×D₄	—	86	1	no	—
802	C₂²×D₄	—	86	1	no	—
803	C₂²×D₄	—	86	4	no	—
804	C₂²×D₄	—	86	1	no	—
805	C₂²×D₄	—	86	1	no	—
806	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
807	C₂³×C₄	—	43	1	no	—
808	C₂³×C₄	—	86	1	no	—
809	C₂³×C₄	—	86	2	no	—
810	C₂³×C₄	—	86	2	no	—
811	AGL(1,ℤ/8)	—	43	8	no	—
812	AGL(1,ℤ/8)	—	43	8	no	—
813	AGL(1,ℤ/8)	—	43	16	no	—
814	AGL(1,ℤ/8)	—	43	16	no	—
815	AGL(1,ℤ/8)	—	43	8	no	—
816	AGL(1,ℤ/8)	C₄×D₄₃	1	8	yes	complemented
817	C₂×SD₁₆	—	43	2	no	—
818	C₂×SD₁₆	—	43	2	no	—
819	C₂×SD₁₆	—	43	16	no	—
820	C₂×SD₁₆	—	43	2	no	—
821	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
822	C₂×D₈	—	43	2	no	—
823	C₂×D₈	—	43	2	no	—
824	C₂×D₈	—	43	16	no	—
825	C₂×D₈	—	43	2	no	—
826	C₂×D₈	C₂²×D₄₃	1	2	yes	—
827	C₂×M₁₆	—	43	1	no	—
828	C₂×M₁₆	—	43	8	no	—
829	C₂×M₁₆	—	43	2	no	—
830	C₂×M₁₆	—	43	1	no	—
831	C₂×M₁₆	—	43	1	no	—
832	C₂×M₁₆	—	43	1	no	—
833	C₂×M₁₆	—	43	1	no	—
834	C₂×M₁₆	—	86	4	no	—
835	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
836	C₂²×C₈	—	43	2	no	—
837	C₂²×C₈	—	43	1	no	—
838	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
839	C₄×Q₈	—	43	2	no	—
840	C₄×Q₈	—	43	2	no	—
841	C₄×Q₈	—	43	2	no	—
842	C₄×Q₈	—	86	2	no	—
843	C₄×Q₈	—	86	2	no	—
844	C₄×Q₈	C₂²×D₄₃	1	2	yes	complemented
845	C₄×D₄	—	2	1	no	—
846	C₄×D₄	—	2	1	no	—
847	C₄×D₄	—	2	2	no	—
848	C₄×D₄	—	43	2	no	—
849	C₄×D₄	—	43	2	no	—
850	C₄×D₄	—	43	2	no	—
851	C₄×D₄	—	43	2	no	—
852	C₄×D₄	—	43	2	no	—
853	C₄×D₄	—	43	2	no	—
854	C₄×D₄	—	43	2	no	—
855	C₄×D₄	—	43	2	no	—
856	C₄×D₄	—	43	2	no	—
857	C₄×D₄	—	86	1	no	—
858	C₄×D₄	—	86	1	no	—
859	C₄×D₄	—	86	2	no	—
860	C₄×D₄	—	86	2	no	—
861	C₄×D₄	—	86	2	no	—
862	C₄×D₄	—	86	2	no	—
863	C₄×D₄	—	86	2	no	—
864	C₄×D₄	—	86	2	no	—
865	C₄×D₄	—	86	2	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	1	no	—
875	C₄×D₄	—	86	1	no	—
876	C₄×D₄	—	86	2	no	—
877	C₄×D₄	—	86	1	no	—
878	C₄×D₄	—	86	1	no	—
879	C₄×D₄	—	86	2	no	—
880	C₄×D₄	C₂²×D₄₃	1	2	yes	—
881	C₄×D₄	C₂²×D₄₃	1	2	yes	—
882	C₄×D₄	C₂²×D₄₃	1	2	yes	complemented
883	#117	—	2	1	no	—
884	#117	—	43	1	no	—
885	#117	—	43	1	no	—
886	#117	—	43	1	no	—
887	#117	—	43	2	no	—
888	#117	—	43	2	no	—
889	#117	—	43	1	no	—
890	#117	—	43	2	no	—
891	#117	—	43	1	no	—
892	#117	—	43	1	no	—
893	#117	—	43	2	no	—
894	#117	—	86	2	no	—
895	#117	—	86	1	no	—
896	#117	—	86	2	no	—
897	#117	—	86	2	no	—
898	#117	—	86	1	no	—
899	#117	—	86	2	no	—
900	#117	—	86	1	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	1	no	—
912	C₂×C₄⋊C₄	—	43	1	no	—
913	C₂×C₄⋊C₄	—	86	1	no	—
914	C₂×C₄⋊C₄	—	86	1	no	—
915	C₂×C₄⋊C₄	—	86	1	no	—
916	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
917	C₂×C₂²⋊C₄	—	2	2	no	—
918	C₂×C₂²⋊C₄	—	43	2	no	—
919	C₂×C₂²⋊C₄	—	86	2	no	—
920	C₂×C₂²⋊C₄	—	86	2	no	—
921	C₂×C₂²⋊C₄	—	86	2	no	—
922	C₂×C₂²⋊C₄	—	86	2	no	—
923	C₂×C₂²⋊C₄	—	86	2	no	—
924	C₂×C₂²⋊C₄	—	86	2	no	—
925	C₂×C₂²⋊C₄	—	86	1	no	—
926	C₂×C₂²⋊C₄	—	86	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	1	no	—
931	C₂×C₂²⋊C₄	—	86	2	no	—
932	C₂×C₄²	—	43	2	no	—
933	C₂×C₄²	—	86	2	no	—
934	C₂×C₄²	—	86	1	no	—
935	C₂×C₄²	—	86	2	no	—
936	C₂×C₄²	—	86	1	no	—
937	#107	—	43	2	no	—
938	#107	—	43	2	no	—
939	#107	—	43	2	no	—
940	#107	C₂²×D₄₃	1	2	yes	complemented
941	#106	—	43	2	no	—
942	#106	—	43	2	no	—
943	#106	—	43	2	no	—
944	#106	C₂²×D₄₃	1	2	yes	complemented
945	#103	—	43	1	no	—
946	#103	—	43	1	no	—
947	#103	—	43	1	no	—
948	#103	—	43	1	no	—
949	#103	—	43	1	no	—
950	#103	—	43	1	no	—
951	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
952	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
953	#102	—	43	2	no	—
954	#102	—	43	2	no	—
955	#102	—	43	1	no	—
956	#102	—	43	1	no	—
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	C₂²×D₄₃	1	2	yes	—
966	#102	C₂²×D₄₃	1	2	yes	—
967	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
968	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
969	#97	—	43	2	no	—
970	#97	—	43	2	no	—
971	#97	—	43	2	no	—
972	#97	C₂²×D₄₃	1	2	yes	complemented
973	C₄×C₈	—	43	2	no	—
974	C₄×C₈	—	43	2	no	—
975	C₄×C₈	—	43	2	no	—
976	C₄×C₈	C₂²×D₄₃	1	2	yes	complemented
977	C₂⁴	—	2	1	no	—
978	C₂⁴	—	43	1	no	—
979	C₂⁴	—	86	1	no	—
980	C₂⁴	—	86	2	no	—
981	C₂⁴	—	86	8	no	—
982	C₂⁴	—	86	2	no	—
983	C₂⁴	—	86	1	no	—
984	C₂⁴	—	344	2	no	—
985	C₂⁴	—	344	2	no	—
986	#41	—	2	2	no	—
987	#41	—	43	4	no	—
988	#41	—	43	4	no	—
989	#41	—	43	4	no	—
990	#41	—	86	8	no	—
991	#41	—	86	8	no	—
992	#41	—	86	2	no	—
993	#41	—	86	2	no	—
994	#41	—	86	2	no	—
995	#41	C₂×C₄×D₄₃	1	4	yes	complemented
996	C₂×Q₈	—	43	4	no	—
997	C₂×Q₈	—	43	1	no	—
998	C₂×Q₈	—	86	1	no	—
999	C₂×Q₈	—	86	2	no	—
1000	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	2	no	—
1004	C₂×D₄	—	43	4	no	—
1005	C₂×D₄	—	43	8	no	—
1006	C₂×D₄	—	43	8	no	—
1007	C₂×D₄	—	43	4	no	—
1008	C₂×D₄	—	43	1	no	—
1009	C₂×D₄	—	43	2	no	—
1010	C₂×D₄	—	86	1	no	—
1011	C₂×D₄	—	86	8	no	—
1012	C₂×D₄	—	86	8	no	—
1013	C₂×D₄	—	86	4	no	—
1014	C₂×D₄	—	86	4	no	—
1015	C₂×D₄	—	86	2	no	—
1016	C₂×D₄	—	86	2	no	—
1017	C₂×D₄	—	86	2	no	—
1018	C₂×D₄	—	86	1	no	—
1019	C₂×D₄	—	86	8	no	—
1020	C₂×D₄	—	86	8	no	—
1021	C₂×D₄	—	86	1	no	—
1022	C₂×D₄	—	86	1	no	—
1023	C₂×D₄	—	86	1	no	—
1024	C₂×D₄	—	86	2	no	—
1025	C₂×D₄	C₂×C₄×D₄₃	1	4	yes	—
1026	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1027	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1028	C₂²×C₄	—	2	1	no	—
1029	C₂²×C₄	—	2	1	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	43	1	no	—
1034	C₂²×C₄	—	43	4	no	—
1035	C₂²×C₄	—	43	1	no	—
1036	C₂²×C₄	—	43	1	no	—
1037	C₂²×C₄	—	43	4	no	—
1038	C₂²×C₄	—	43	1	no	—
1039	C₂²×C₄	—	43	1	no	—
1040	C₂²×C₄	—	43	2	no	—
1041	C₂²×C₄	—	43	2	no	—
1042	C₂²×C₄	—	86	1	no	—
1043	C₂²×C₄	—	86	8	no	—
1044	C₂²×C₄	—	86	2	no	—
1045	C₂²×C₄	—	86	2	no	—
1046	C₂²×C₄	—	86	2	no	—
1047	C₂²×C₄	—	86	1	no	—
1048	C₂²×C₄	—	86	1	no	—
1049	C₂²×C₄	—	86	1	no	—
1050	C₂²×C₄	—	86	1	no	—
1051	C₂²×C₄	—	86	2	no	—
1052	C₂²×C₄	—	86	2	no	—
1053	C₂²×C₄	—	86	2	no	—
1054	C₂²×C₄	—	86	1	no	—
1055	C₂²×C₄	—	86	1	no	—
1056	C₂²×C₄	—	86	2	no	—
1057	C₂²×C₄	—	86	2	no	—
1058	C₂²×C₄	—	86	2	no	—
1059	C₂²×C₄	—	344	4	no	—
1060	C₂²×C₄	—	344	4	no	—
1061	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1062	SD₁₆	—	43	8	no	—
1063	SD₁₆	—	43	8	no	—
1064	SD₁₆	—	43	8	no	—
1065	SD₁₆	C₂×C₄×D₄₃	1	8	yes	complemented
1066	D₈	—	43	8	no	—
1067	D₈	—	43	8	no	—
1068	D₈	—	43	8	no	—
1069	D₈	C₂×C₄×D₄₃	1	8	yes	complemented
1070	M₁₆	—	43	4	no	—
1071	M₁₆	—	43	8	no	—
1072	M₁₆	—	86	2	no	—
1073	M₁₆	—	86	2	no	—
1074	M₁₆	—	86	2	no	—
1075	M₁₆	—	86	2	no	—
1076	M₁₆	C₂×C₄×D₄₃	1	4	yes	complemented
1077	C₂×C₈	—	2	2	no	—
1078	C₂×C₈	—	43	2	no	—
1079	C₂×C₈	—	43	8	no	—
1080	C₂×C₈	—	43	1	no	—
1081	C₂×C₈	—	43	1	no	—
1082	C₂×C₈	—	86	2	no	—
1083	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1084	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1085	C₂×C₈	C₂³×D₄₃	1	2	yes	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	43	1	no	—
1089	C₄⋊C₄	—	43	1	no	—
1090	C₄⋊C₄	—	43	2	no	—
1091	C₄⋊C₄	—	43	2	no	—
1092	C₄⋊C₄	—	43	2	no	—
1093	C₄⋊C₄	—	43	1	no	—
1094	C₄⋊C₄	—	43	1	no	—
1095	C₄⋊C₄	—	86	1	no	—
1096	C₄⋊C₄	—	86	1	no	—
1097	C₄⋊C₄	—	86	2	no	—
1098	C₄⋊C₄	—	86	2	no	—
1099	C₄⋊C₄	—	86	1	no	—
1100	C₄⋊C₄	—	86	2	no	—
1101	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1102	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
1103	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1104	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1105	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	2	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	43	2	no	—
1111	C₂²⋊C₄	—	43	2	no	—
1112	C₂²⋊C₄	—	43	2	no	—
1113	C₂²⋊C₄	—	86	2	no	—
1114	C₂²⋊C₄	—	86	2	no	—
1115	C₂²⋊C₄	—	86	2	no	—
1116	C₂²⋊C₄	—	86	1	no	—
1117	C₂²⋊C₄	—	86	1	no	—
1118	C₂²⋊C₄	—	86	2	no	—
1119	C₂²⋊C₄	—	86	2	no	—
1120	C₂²⋊C₄	—	86	2	no	—
1121	C₂²⋊C₄	—	86	2	no	—
1122	C₂²⋊C₄	—	86	2	no	—
1123	C₂²⋊C₄	—	86	1	no	—
1124	C₂²⋊C₄	—	86	2	no	—
1125	C₂²⋊C₄	—	86	2	no	—
1126	C₂²⋊C₄	—	86	2	no	—
1127	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
1128	C₄²	—	2	2	no	—
1129	C₄²	—	2	1	no	—
1130	C₄²	—	43	2	no	—
1131	C₄²	—	43	2	no	—
1132	C₄²	—	43	2	no	—
1133	C₄²	—	86	2	no	—
1134	C₄²	—	86	1	no	—
1135	C₄²	—	86	1	no	—
1136	C₄²	—	86	2	no	—
1137	C₄²	—	86	2	no	—
1138	C₄²	—	86	2	no	—
1139	C₄²	—	86	1	no	—
1140	C₄²	—	86	2	no	—
1141	C₄²	C₂³×D₄₃	1	2	yes	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	2	no	—
1144	C₂³	—	2	4	no	—
1145	C₂³	—	8	1	no	—
1146	C₂³	—	8	1	no	—
1147	C₂³	—	43	1	no	—
1148	C₂³	—	43	1	no	—
1149	C₂³	—	43	4	no	—
1150	C₂³	—	86	4	no	—
1151	C₂³	—	86	8	no	—
1152	C₂³	—	86	8	no	—
1153	C₂³	—	86	4	no	—
1154	C₂³	—	86	1	no	—
1155	C₂³	—	86	2	no	—
1156	C₂³	—	344	1	no	—
1157	C₂³	—	344	1	no	—
1158	C₂³	—	344	1	no	—
1159	C₂³	—	344	1	no	—
1160	C₂³	—	344	2	no	—
1161	C₂³	—	344	2	no	—
1162	C₂³	—	344	16	no	—
1163	C₂³	—	172	1	no	—
1164	C₂³	—	172	1	no	—
1165	C₂³	—	172	4	no	—
1166	C₂³	—	172	4	no	—
1167	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1168	Q₈	—	2	1	no	—
1169	Q₈	—	43	2	no	—
1170	Q₈	—	86	4	no	—
1171	Q₈	—	86	1	no	—
1172	Q₈	C₂²×C₄×D₄₃	1	2	yes	—
1173	D₄	—	2	4	no	—
1174	D₄	—	2	4	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	2	1	no	—
1177	D₄	—	43	2	no	—
1178	D₄	—	43	4	no	—
1179	D₄	—	86	4	no	—
1180	D₄	—	86	8	no	—
1181	D₄	—	86	8	no	—
1182	D₄	—	86	4	no	—
1183	D₄	—	86	4	no	—
1184	D₄	—	86	4	no	—
1185	D₄	—	86	4	no	—
1186	D₄	—	86	2	no	—
1187	D₄	—	86	1	no	—
1188	D₄	C₂²×C₄×D₄₃	1	2	yes	—
1189	D₄	C₂²×C₄×D₄₃	1	4	yes	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	4	no	—
1192	C₂×C₄	—	2	2	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	8	2	no	—
1196	C₂×C₄	—	8	2	no	—
1197	C₂×C₄	—	8	2	no	—
1198	C₂×C₄	—	8	1	no	—
1199	C₂×C₄	—	43	4	no	—
1200	C₂×C₄	—	43	1	no	—
1201	C₂×C₄	—	43	1	no	—
1202	C₂×C₄	—	43	4	no	—
1203	C₂×C₄	—	43	4	no	—
1204	C₂×C₄	—	43	2	no	—
1205	C₂×C₄	—	43	2	no	—
1206	C₂×C₄	—	43	2	no	—
1207	C₂×C₄	—	43	2	no	—
1208	C₂×C₄	—	43	2	no	—
1209	C₂×C₄	—	43	2	no	—
1210	C₂×C₄	—	86	4	no	—
1211	C₂×C₄	—	86	4	no	—
1212	C₂×C₄	—	86	4	no	—
1213	C₂×C₄	—	86	1	no	—
1214	C₂×C₄	—	86	4	no	—
1215	C₂×C₄	—	86	2	no	—
1216	C₂×C₄	—	86	1	no	—
1217	C₂×C₄	—	86	1	no	—
1218	C₂×C₄	—	344	2	no	—
1219	C₂×C₄	—	344	2	no	—
1220	C₂×C₄	—	344	2	no	—
1221	C₂×C₄	—	344	2	no	—
1222	C₂×C₄	—	344	2	no	—
1223	C₂×C₄	—	344	2	no	—
1224	C₂×C₄	—	344	2	no	—
1225	C₂×C₄	—	344	2	no	—
1226	C₂×C₄	—	344	2	no	—
1227	C₂×C₄	—	344	1	no	—
1228	C₂×C₄	—	172	2	no	—
1229	C₂×C₄	—	172	2	no	—
1230	C₂×C₄	—	172	2	no	—
1231	C₂×C₄	—	172	2	no	—
1232	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1233	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1234	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1235	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1236	C₂×C₄	#41×D₄₃	1	2	yes	—
1237	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1238	C₈	—	2	1	no	—
1239	C₈	—	2	1	no	—
1240	C₈	—	43	4	no	—
1241	C₈	—	86	1	no	—
1242	C₈	—	86	1	no	—
1243	C₈	C₂²×C₄×D₄₃	1	4	yes	—
1244	C₂²	—	2	1	no	—
1245	C₂²	—	2	1	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	4	no	—
1248	C₂²	—	4	1	no	—
1249	C₂²	—	4	2	no	—
1250	C₂²	—	4	2	no	—
1251	C₂²	—	4	1	no	—
1252	C₂²	—	8	4	no	—
1253	C₂²	—	43	2	no	—
1254	C₂²	—	43	2	no	—
1255	C₂²	—	86	1	no	—
1256	C₂²	—	86	1	no	—
1257	C₂²	—	86	1	no	—
1258	C₂²	—	86	1	no	—
1259	C₂²	—	86	2	no	—
1260	C₂²	—	86	4	no	—
1261	C₂²	—	344	4	no	—
1262	C₂²	—	344	8	no	—
1263	C₂²	—	344	4	no	—
1264	C₂²	—	172	4	no	—
1265	C₂²	—	172	16	no	—
1266	C₂²	—	172	2	no	—
1267	C₂²	—	172	1	no	—
1268	C₂²	—	172	2	no	—
1269	C₂²	—	172	1	no	—
1270	C₂²	C₄×D₄×D₄₃	1	2	yes	—
1271	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1272	C₄	—	2	2	no	—
1273	C₄	—	2	2	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	2	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	43	2	no	—
1279	C₄	—	43	2	no	—
1280	C₄	—	86	2	no	—
1281	C₄	—	86	2	no	—
1282	C₄	—	86	2	no	—
1283	C₄	—	172	1	no	—
1284	C₄	—	172	1	no	—
1285	C₄	—	172	2	no	—
1286	C₄	C₄×D₄×D₄₃	1	2	yes	—
1287	C₄	C₂³×C₄×D₄₃	1	1	yes	characteristic
1288	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1289	C₂	—	2	2	no	—
1290	C₂	—	4	4	no	—
1291	C₂	—	4	2	no	—
1292	C₂	—	86	2	no	—
1293	C₂	—	86	2	no	—
1294	C₂	—	172	4	no	—
1295	C₂	—	172	2	no	—
1296	C₂	C₂×C₄×D₄×D₄₃	1	1	yes	characteristic
1297	C₂	#19149370	1	1	yes	characteristic
1298	C₂	#19149373	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	#60168
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. #19147795	C₂	semidirect
3. #518×D₄₃	C₂	semidirect
4. #19143451	C₂	semidirect
5. #19143449	C₂	semidirect
6. #19143444	C₂	semidirect
7. #19143442	C₂	semidirect
8. #19143430	C₂	semidirect
9. #19143429	C₂	semidirect
10. #19143428	C₂	semidirect
11. #19143427	C₂	semidirect
12. #19143425	C₂	semidirect
13. #19143423	C₂	semidirect
14. #19143421	C₂	semidirect
15. #19143406	C₂	semidirect
16. C₄×#13063352	C₂	semidirect
17. #19143400	C₂	semidirect
18. C₄×#13063349	C₂	semidirect
19. #19143182	C₂	semidirect
20. #19143110	C₂	semidirect
21. C₂×#14582902	C₂	semidirect
22. #19143011	C₂	semidirect
23. C₄₃×#2946	C₂	semidirect
31. AGL(1,ℤ/8)×D₄₃	C₄	semidirect
36. #14583382	C₂²	semidirect
38. #14583380	C₂²	semidirect
40. #14583379	C₂²	semidirect
41. #14583375	C₂²	semidirect
42. #14583374	C₂²	semidirect
43. #14583373	C₂²	semidirect
44. #14583373	C₂²	semidirect
51. #14583371	C₂²	semidirect
52. C₄×#10621902	C₂²	semidirect
54. C₄×#10621900	C₂²	semidirect
57. C₄×D₄×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. #14582936	C₂²	semidirect
99. #14582934	C₂²	semidirect
100. #14582906	C₂²	semidirect
101. #14582906	C₂²	semidirect
104. #14582902	C₂²	semidirect
105. #14582902	C₂²	semidirect
106. #14582902	C₂²	semidirect
107. #14582902	C₂²	semidirect
108. #14582899	C₂²	semidirect
109. #14582899	C₂²	semidirect
110. #14582897	C₂²	semidirect
111. #14582897	C₂²	semidirect
112. #14582896	C₂²	semidirect
113. #14582895	C₂²	semidirect
114. #14582893	C₂²	semidirect
115. C₂×#13063247	C₂²	semidirect
116. C₂×#13063246	C₂²	semidirect
117. C₂×#13063245	C₂²	semidirect
118. #14582857	C₂²	semidirect
119. #14582856	C₂²	semidirect
120. #14582855	C₂²	semidirect
121. #14582854	C₂²	semidirect
122. #14582853	C₂²	semidirect
123. #14582851	C₂²	semidirect
124. C₄×#10621872	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
159. #13063353	C₂×C₄	semidirect
160. #13063352	C₂×C₄	semidirect
161. #13063351	C₂×C₄	semidirect
162. #13063350	C₂×C₄	semidirect
163. #13063349	C₂×C₄	semidirect
167. SD₁₆×D₄₃	C₂×C₄	semidirect
171. D₈×D₄₃	C₂×C₄	semidirect
179. M₁₆×D₄₃	C₂×C₄	semidirect
182. Q₈×Dic₄₃	C₂³	semidirect
184. C₄×Dic₈₆	C₂³	semidirect
186. #13063290	C₂³	semidirect
192. C₄×D₁₇₂	C₂³	semidirect
198. D₄×Dic₄₃	C₂³	semidirect
204. #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
366. Q₈×D₄₃	C₂²×C₄	semidirect
378. D₄×D₄₃	C₂²×C₄	semidirect
381. #10621898	C₂²×C₄	semidirect
412. SD₁₆×C₄₃	C₂²×C₄	semidirect
413. D₈×C₄₃	C₂²×C₄	semidirect
414. M₁₆×C₄₃	C₂²×C₄	semidirect
439. #10621884	C₂²×C₄	semidirect
440. #10621883	C₂²×C₄	semidirect
441. #10621882	C₂²×C₄	semidirect
442. #10621882	C₂²×C₄	semidirect
479. #10621877	C₂²×C₄	semidirect
484. D₃₄₄	C₂²×C₄	semidirect
485. #10621873	C₂²×C₄	semidirect
491. C₈×D₄₃	C₂²×C₄	semidirect
654. #2946	D₄₃	semidirect
691. #520	C₂×D₄₃	semidirect
703. #518	C₂×D₄₃	semidirect
724. #442	C₂×D₄₃	semidirect
732. #440	C₂×D₄₃	semidirect
740. C₄×SD₁₆	C₂×D₄₃	semidirect
748. C₄×D₈	C₂×D₄₃	semidirect
754. #428	C₂×D₄₃	semidirect
772. #416	C₂×D₄₃	semidirect
776. C₂×#102	C₂×D₄₃	semidirect
782. #405	C₂×D₄₃	semidirect
785. C₄₃	#60168	semidirect
816. AGL(1,ℤ/8)	C₄×D₄₃	semidirect
844. C₄×Q₈	C₂²×D₄₃	semidirect
882. C₄×D₄	C₂²×D₄₃	semidirect
940. #107	C₂²×D₄₃	semidirect
944. #106	C₂²×D₄₃	semidirect
951. #103	C₂²×D₄₃	semidirect
952. #103	C₂²×D₄₃	semidirect
967. #102	C₂²×D₄₃	semidirect
968. #102	C₂²×D₄₃	semidirect
972. #97	C₂²×D₄₃	semidirect
976. C₄×C₈	C₂²×D₄₃	semidirect
995. #41	C₂×C₄×D₄₃	semidirect
1065. SD₁₆	C₂×C₄×D₄₃	semidirect
1069. D₈	C₂×C₄×D₄₃	semidirect
1076. 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
#19147795	2
#518×D₄₃	2
#19143451	2
#19143449	2
#19143444	2
#19143442	2
#19143430	2
#19143429	2
#19143428	2
#19143427	2
#19143425	2
#19143423	2
#19143421	2
#19143406	2
C₄×#13063352	2
#19143400	2
C₄×#13063349	2
#19143182	2
#19143110	2
C₂×#14582902	2
#19143011	2
C₄₃×#2946	2
#60168	43