Subgroups — #25964550

Order 11008.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1206 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148267	C₂	1	1	yes	maximal, characteristic
2	#19147796	C₂	1	1	yes	maximal, characteristic, complemented
3	#19144585	C₂	1	2	yes	maximal, complemented
4	#19144582	C₂	1	1	yes	maximal, characteristic, complemented
5	#19144571	C₂	1	1	yes	maximal, characteristic, complemented
6	#19144568	C₂	1	2	yes	maximal, complemented
7	#19144567	C₂	1	1	yes	maximal, characteristic, complemented
8	#19144567	C₂	1	1	yes	maximal, characteristic, complemented
9	#19144563	C₂	1	2	yes	maximal, complemented
10	#19144557	C₂	1	2	yes	maximal, complemented
11	#19144543	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144542	C₂	1	2	yes	maximal, complemented
13	#19144524	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144523	C₂	1	2	yes	maximal, complemented
15	#19144507	C₂	1	2	yes	maximal, complemented
16	C₂×#14583241	C₂	1	1	yes	maximal, characteristic, complemented
17	#485×D₄₃	C₂	1	2	yes	maximal, complemented
18	#19143192	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143187	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143124	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143124	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143041	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063372	C₂²	1	1	yes	characteristic
25	C₂²×#10621898	C₂²	1	1	yes	characteristic
26	C₂×#13063331	C₂²	1	1	yes	characteristic
27	C₂×#13063331	C₂²	1	1	yes	characteristic
28	D₄×Dic₈₆	—	2	1	no	—
29	#14583558	—	2	1	no	—
30	#14583554	—	2	1	no	—
31	#14583547	—	2	2	no	—
32	#14583545	—	2	1	no	—
33	#14583536	—	2	2	no	—
34	#14583478	C₂²	1	2	yes	—
35	#14583477	C₂²	1	1	yes	characteristic
36	#14583475	C₂²	1	1	yes	characteristic
37	#14583472	C₂²	1	2	yes	—
38	#14583409	C₂²	1	2	yes	—
39	C₂×#13063304	C₂²	1	1	yes	characteristic
40	C₂²⋊Q₈×D₄₃	C₂²	1	2	yes	—
41	#14583380	C₂²	1	2	yes	—
42	#14583380	C₂²	1	2	yes	—
43	#14583379	C₂²	1	1	yes	characteristic
44	#14583379	C₂²	1	1	yes	characteristic
45	#14583379	C₂²	1	1	yes	characteristic
46	#14583379	C₂²	1	1	yes	characteristic
47	#14583379	C₂²	1	1	yes	characteristic
48	#14583376	—	2	1	no	—
49	#14583373	—	2	1	no	—
50	#14583372	—	2	2	no	—
51	C₄×#10621898	—	2	1	no	—
52	C₄×#10621898	—	2	1	no	—
53	#14583367	—	2	2	no	—
54	C₂×#13063284	C₂²	1	1	yes	characteristic
55	#117×D₄₃	C₂²	1	2	yes	—
56	#117×D₄₃	C₂²	1	2	yes	—
57	#14583243	C₂²	1	2	yes	complemented
58	#14583243	C₂²	1	2	yes	complemented
59	#14583242	C₂²	1	2	yes	complemented
60	#14583242	C₂²	1	2	yes	complemented
61	#14583241	C₂²	1	2	yes	—
62	#14583241	C₂²	1	2	yes	—
63	#14583241	C₂²	1	2	yes	complemented
64	#14583241	C₂²	1	2	yes	complemented
65	#14583240	C₂²	1	2	yes	—
66	#14583240	C₂²	1	2	yes	—
67	#14583239	C₂²	1	2	yes	complemented
68	#14583238	C₂²	1	2	yes	complemented
69	#14583237	C₂²	1	2	yes	—
70	#14583237	C₂²	1	2	yes	complemented
71	#14583236	C₂²	1	2	yes	complemented
72	#14583236	C₂²	1	2	yes	complemented
73	#14583234	C₂²	1	2	yes	complemented
74	#14583233	C₂²	1	2	yes	complemented
75	#14583231	C₂²	1	2	yes	complemented
76	#14583231	C₂²	1	2	yes	complemented
77	#14583229	C₂²	1	2	yes	complemented
78	#14583228	C₂²	1	2	yes	complemented
79	#14583222	C₂²	1	2	yes	complemented
80	#14583221	C₂²	1	2	yes	complemented
81	#14583220	C₂²	1	2	yes	—
82	#14583220	C₂²	1	2	yes	complemented
83	#14583216	C₂²	1	2	yes	complemented
84	#14583211	C₂²	1	2	yes	complemented
85	#14582942	C₂²	1	1	yes	characteristic, complemented
86	#14582942	C₂²	1	1	yes	characteristic, complemented
87	#14582942	C₂²	1	1	yes	characteristic, complemented
88	#14582942	C₂²	1	1	yes	characteristic, complemented
89	#14582940	C₂²	1	2	yes	complemented
90	#14582940	C₂²	1	2	yes	complemented
91	#14582938	C₂²	1	2	yes	complemented
92	#14582938	C₂²	1	2	yes	complemented
93	#14582936	C₂²	1	2	yes	complemented
94	#14582934	C₂²	1	2	yes	complemented
95	C₂×#13063259	C₂²	1	1	yes	characteristic, complemented
96	#107×D₄₃	C₂²	1	2	yes	complemented
97	C₂×#13063257	C₂²	1	1	yes	characteristic, complemented
98	#106×D₄₃	C₂²	1	2	yes	complemented
99	#14582907	C₂²	1	1	yes	characteristic, complemented
100	#14582907	C₂²	1	1	yes	characteristic, complemented
101	#14582906	C₂²	1	2	yes	complemented
102	#14582906	C₂²	1	2	yes	complemented
103	#14582900	C₂²	1	1	yes	characteristic, complemented
104	#14582900	C₂²	1	1	yes	characteristic, complemented
105	#14582897	C₂²	1	2	yes	complemented
106	#14582897	C₂²	1	2	yes	complemented
107	#14582892	C₂²	1	2	yes	complemented
108	#14582892	C₂²	1	2	yes	complemented
109	C₂×#13063250	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13063250	C₂²	1	1	yes	characteristic, complemented
111	#103×D₄₃	C₂²	1	2	yes	complemented
112	#103×D₄₃	C₂²	1	2	yes	complemented
113	#14582865	C₂²	1	1	yes	characteristic
114	#14582865	C₂²	1	1	yes	characteristic
115	#14582864	C₂²	1	2	yes	—
116	#14582864	C₂²	1	2	yes	—
117	#14582863	C₂²	1	1	yes	characteristic
118	#14582861	C₂²	1	2	yes	—
119	C₂²⋊C₈×D₄₃	C₂²	1	2	yes	—
120	C₄₃×#525	C₂²	1	1	yes	characteristic
121	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
122	C₄₃×#485	C₂²	1	1	yes	characteristic
123	C₄₃×#485	C₂²	1	1	yes	characteristic
124	C₄₃×#484	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#483	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#482	C₂²	1	1	yes	characteristic
127	C₄₃×#482	C₂²	1	1	yes	characteristic
128	C₄₃×#481	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#480	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₂²⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
135	#13063372	—	2	4	no	—
136	#13063372	—	2	4	no	—
137	C₂×#10621898	—	2	4	no	—
138	C₂×#10621898	—	2	4	no	—
139	C₂×#10621898	—	2	1	no	—
140	C₂×#10621898	D₄	1	1	yes	characteristic
141	C₂×#10621898	D₄	1	1	yes	characteristic
142	C₂×#10621898	D₄	1	2	yes	—
143	C₂×#10621898	C₂³	1	2	yes	—
144	C₂×#10621898	C₂³	1	1	yes	characteristic
145	C₂×#10621898	C₂³	1	1	yes	characteristic
146	C₂×#10621900	—	2	2	no	—
147	C₂×#10621900	C₂³	1	2	yes	—
148	C₂²×Dic₈₆	—	2	1	no	—
149	C₂²×Dic₈₆	D₄	1	1	yes	characteristic
150	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
151	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
152	C₂²×D₁₇₂	D₄	1	1	yes	characteristic
153	C₂²×C₂²⋊D₄₃	D₄	1	2	yes	—
154	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
155	#13063331	—	2	4	no	—
156	#13063331	—	2	4	no	—
157	C₂×#10621877	C₂³	1	1	yes	characteristic
158	C₂×#10621877	C₂³	1	1	yes	characteristic
159	C₂×#10621872	C₂³	1	2	yes	—
160	C₂×#10621872	C₂³	1	2	yes	—
161	C₂×C₈×D₄₃	C₂³	1	2	yes	—
162	C₂×C₈×D₄₃	C₂³	1	2	yes	—
163	#13063325	—	2	1	no	—
164	#13063324	—	2	2	no	—
165	#13063313	—	2	1	no	—
166	#13063311	—	2	2	no	—
167	#13063310	—	2	2	no	—
168	#13063309	—	2	2	no	—
169	#13063307	—	2	2	no	—
170	#13063307	—	2	2	no	—
171	#13063305	C₂³	1	2	yes	—
172	#13063305	C₂³	1	2	yes	—
173	#13063304	—	2	1	no	—
174	#13063304	—	2	1	no	—
175	#13063304	—	2	1	no	—
176	#13063304	C₂³	1	2	yes	—
177	#13063304	C₂³	1	2	yes	—
178	#13063303	—	2	2	no	—
179	#13063302	—	2	2	no	—
180	#13063302	—	2	2	no	—
181	#13063301	C₂³	1	2	yes	—
182	#13063299	—	2	1	no	—
183	#13063298	—	2	2	no	—
184	#13063297	—	2	2	no	—
185	#13063297	—	2	2	no	—
186	#13063296	—	2	2	no	—
187	#13063296	C₂³	1	2	yes	—
188	#13063293	—	2	2	no	—
189	C₄×Dic₈₆	—	2	1	no	—
190	C₄×Dic₈₆	—	2	1	no	—
191	C₄×Dic₈₆	—	2	1	no	—
192	C₄×Dic₈₆	—	2	1	no	—
193	C₄×Dic₈₆	—	2	1	no	—
194	#13063290	—	2	2	no	—
195	#13063290	—	2	2	no	—
196	C₄×D₁₇₂	—	2	1	no	—
197	C₄×D₁₇₂	—	2	1	no	—
198	C₄×D₁₇₂	—	2	1	no	—
199	C₄×D₁₇₂	—	2	1	no	—
200	C₄×D₁₇₂	—	2	1	no	—
201	D₄×Dic₄₃	—	2	2	no	—
202	#13063287	—	2	2	no	—
203	#13063287	—	2	2	no	—
204	C₄×C₂²⋊D₄₃	—	2	2	no	—
205	C₄×C₂²⋊D₄₃	—	2	2	no	—
206	C₄×C₂²⋊D₄₃	—	2	2	no	—
207	C₄×C₂²⋊D₄₃	—	2	2	no	—
208	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
209	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
210	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
211	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
212	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
213	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
214	#13063284	—	2	1	no	—
215	#13063284	—	2	1	no	—
216	#13063284	C₂³	1	2	yes	—
217	#13063284	C₂³	1	2	yes	—
218	#13063283	C₂³	1	2	yes	—
219	#13063283	C₂³	1	2	yes	—
220	#13063283	C₂³	1	2	yes	—
221	#13063283	C₂³	1	2	yes	—
222	#13063283	C₂³	1	2	yes	—
223	#13063282	—	2	2	no	—
224	#13063282	—	2	2	no	—
225	#13063281	—	2	2	no	—
226	#13063281	—	2	2	no	—
227	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₃⋊C₄	—	2	1	no	—
231	C₄⋊C₄×D₄₃	—	2	2	no	—
232	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
233	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
234	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
235	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
236	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
237	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
238	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
239	C₂²⋊C₄×D₄₃	—	2	2	no	—
240	C₂²⋊C₄×D₄₃	—	2	2	no	—
241	C₂²⋊C₄×D₄₃	—	2	2	no	—
242	C₂×C₄×Dic₄₃	—	2	1	no	—
243	C₄²×D₄₃	—	2	2	no	—
244	C₄²×D₄₃	—	2	2	no	—
245	#13063259	C₂³	1	2	yes	—
246	#13063259	C₂³	1	2	yes	—
247	#13063258	C₂³	1	2	yes	—
248	#13063258	C₂³	1	2	yes	—
249	#13063258	C₂³	1	2	yes	—
250	#13063258	C₂³	1	2	yes	—
251	#13063257	C₂³	1	2	yes	—
252	#13063257	C₂³	1	2	yes	—
253	#13063256	C₂³	1	2	yes	—
254	#13063256	C₂³	1	2	yes	—
255	#13063256	C₂³	1	2	yes	—
256	#13063256	C₂³	1	2	yes	—
257	#13063250	C₂³	1	2	yes	—
258	#13063250	C₂³	1	2	yes	—
259	#13063250	C₂³	1	2	yes	—
260	#13063250	C₂³	1	2	yes	—
261	#13063249	C₂³	1	2	yes	—
262	#13063249	C₂³	1	2	yes	—
263	#13063248	C₂³	1	2	yes	—
264	#13063248	C₂³	1	2	yes	—
265	#13063248	C₂³	1	2	yes	—
266	#13063248	C₂³	1	2	yes	—
267	#13063246	C₂³	1	2	yes	—
268	#13063246	C₂³	1	2	yes	—
269	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
270	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
271	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
274	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
275	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
276	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
278	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
279	#123×C₄₃	—	2	1	no	—
280	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
281	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
282	#121×C₄₃	C₂³	1	1	yes	characteristic
283	#121×C₄₃	C₂³	1	1	yes	characteristic
284	#120×C₄₃	—	2	1	no	—
285	C₄×D₄×C₄₃	—	2	1	no	—
286	C₄×D₄×C₄₃	—	2	1	no	—
287	#117×C₄₃	—	2	1	no	—
288	#117×C₄₃	—	2	1	no	—
289	#117×C₄₃	C₂³	1	1	yes	characteristic
290	#117×C₄₃	C₂³	1	1	yes	characteristic
291	#117×C₄₃	C₂³	1	1	yes	characteristic
292	#117×C₄₃	C₂³	1	1	yes	characteristic
293	#117×C₄₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
297	C₂×C₄²×C₄₃	—	2	1	no	—
298	#107×C₄₃	C₂³	1	1	yes	characteristic
299	#107×C₄₃	C₂³	1	1	yes	characteristic
300	#107×C₄₃	C₂³	1	1	yes	characteristic
301	#107×C₄₃	C₂³	1	1	yes	characteristic
302	#106×C₄₃	C₂³	1	1	yes	characteristic
303	#106×C₄₃	C₂³	1	1	yes	characteristic
304	#106×C₄₃	C₂³	1	1	yes	characteristic
305	#106×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#103×C₄₃	C₂³	1	1	yes	characteristic
308	#103×C₄₃	C₂³	1	1	yes	characteristic
309	#103×C₄₃	C₂³	1	1	yes	characteristic
310	#102×C₄₃	C₂³	1	1	yes	characteristic
311	#102×C₄₃	C₂³	1	1	yes	characteristic
312	#102×C₄₃	C₂³	1	1	yes	characteristic
313	#102×C₄₃	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
316	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
317	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
318	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
319	C₂³×D₄₃	C₂×D₄	1	2	yes	—
320	#41×C₄₃	—	2	2	no	—
321	#41×C₄₃	—	2	2	no	—
322	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
323	C₂×D₄×C₄₃	—	2	1	no	—
324	C₂×D₄×C₄₃	—	2	1	no	—
325	C₂×D₄×C₄₃	—	2	1	no	—
326	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₄₃	—	2	2	no	—
328	C₂²×C₄×C₄₃	—	2	2	no	—
329	C₂²×C₄×C₄₃	—	2	1	no	—
330	C₂²×C₄×C₄₃	—	2	1	no	—
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
335	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
337	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
338	C₂×C₂²⋊D₄₃	—	2	8	no	—
339	C₂×C₂²⋊D₄₃	—	2	2	no	—
340	C₂×C₂²⋊D₄₃	—	2	2	no	—
341	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
342	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
343	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
344	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
345	C₂²×Dic₄₃	—	2	2	no	—
346	C₂²×Dic₄₃	—	2	1	no	—
347	C₂²×Dic₄₃	—	2	1	no	—
348	C₂²×Dic₄₃	—	2	1	no	—
349	C₂²×Dic₄₃	—	2	1	no	—
350	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
351	Q₈×D₄₃	—	2	4	no	—
352	Q₈×D₄₃	—	2	4	no	—
353	#10621900	—	2	4	no	—
354	#10621900	—	2	4	no	—
355	#10621900	—	4	8	no	—
356	#10621898	—	2	2	no	—
357	#10621898	—	2	2	no	—
358	#10621898	—	2	8	no	—
359	#10621898	—	2	4	no	—
360	#10621898	—	2	4	no	—
361	#10621898	—	2	4	no	—
362	#10621898	—	2	4	no	—
363	#10621898	—	4	4	no	—
364	#10621898	#41	1	4	yes	—
365	#10621898	#41	1	4	yes	—
366	C₂×D₁₇₂	—	2	4	no	—
367	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
368	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
369	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
370	C₂×C₄×D₄₃	—	2	4	no	—
371	C₂×C₄×D₄₃	—	2	4	no	—
372	C₂×C₄×D₄₃	—	2	2	no	—
373	C₂×C₄×D₄₃	—	2	2	no	—
374	C₂×C₄×D₄₃	—	2	2	no	—
375	C₂×C₄×D₄₃	—	2	2	no	—
376	C₂×C₄×D₄₃	—	2	2	no	—
377	C₂×C₄×D₄₃	—	2	2	no	—
378	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
379	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
380	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
381	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
382	C₂×Dic₈₆	—	2	4	no	—
383	C₂×Dic₈₆	—	2	2	no	—
384	C₂×Dic₈₆	—	2	2	no	—
385	C₂×Dic₈₆	—	2	1	no	—
386	C₂×Dic₈₆	—	2	2	no	—
387	C₂×Dic₈₆	—	4	4	no	—
388	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
389	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
390	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
391	C₂×Dic₈₆	C₂⁴	1	2	yes	—
392	C₂×C₈×C₄₃	—	2	2	no	—
393	C₂×C₈×C₄₃	—	2	2	no	—
394	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
395	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₄⋊C₄×C₄₃	—	2	1	no	—
399	C₄⋊C₄×C₄₃	—	2	1	no	—
400	C₄⋊C₄×C₄₃	—	2	1	no	—
401	C₄⋊C₄×C₄₃	—	2	1	no	—
402	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
403	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
404	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²⋊C₄×C₄₃	—	2	1	no	—
409	C₂²⋊C₄×C₄₃	—	2	1	no	—
410	C₂²⋊C₄×C₄₃	—	2	1	no	—
411	C₂²⋊C₄×C₄₃	—	2	1	no	—
412	C₂²⋊C₄×C₄₃	—	2	1	no	—
413	C₂²⋊C₄×C₄₃	—	2	1	no	—
414	C₂²⋊C₄×C₄₃	—	2	1	no	—
415	C₂²⋊C₄×C₄₃	—	2	1	no	—
416	C₂²⋊C₄×C₄₃	—	2	1	no	—
417	C₄²×C₄₃	—	2	1	no	—
418	C₄²×C₄₃	—	2	1	no	—
419	C₄²×C₄₃	—	2	1	no	—
420	C₄²×C₄₃	—	2	1	no	—
421	C₄²×C₄₃	—	2	1	no	—
422	C₂²⋊Dic₄₃	—	2	2	no	—
423	C₂²⋊Dic₄₃	—	2	2	no	—
424	C₂²⋊Dic₄₃	—	2	2	no	—
425	C₂²⋊Dic₄₃	—	2	2	no	—
426	C₂²⋊Dic₄₃	—	2	2	no	—
427	(C₂×D₄₃)⋊C₄	—	2	2	no	—
428	(C₂×D₄₃)⋊C₄	—	2	2	no	—
429	(C₂×D₄₃)⋊C₄	—	2	2	no	—
430	(C₂×D₄₃)⋊C₄	—	2	2	no	—
431	(C₂×D₄₃)⋊C₄	—	2	2	no	—
432	(C₂×D₄₃)⋊C₄	—	2	2	no	—
433	(C₂×D₄₃)⋊C₄	—	2	2	no	—
434	(C₂×D₄₃)⋊C₄	—	2	2	no	—
435	C₄⋊Dic₄₃	—	2	1	no	—
436	C₄⋊Dic₄₃	—	2	1	no	—
437	C₄⋊Dic₄₃	—	2	1	no	—
438	C₄⋊Dic₄₃	—	2	2	no	—
439	C₄⋊Dic₄₃	—	2	2	no	—
440	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
441	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
442	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
443	Dic₄₃⋊C₄	—	2	2	no	—
444	Dic₄₃⋊C₄	—	2	2	no	—
445	Dic₄₃⋊C₄	—	2	2	no	—
446	Dic₄₃⋊C₄	—	2	2	no	—
447	Dic₄₃⋊C₄	—	2	2	no	—
448	Dic₄₃⋊C₄	—	2	2	no	—
449	Dic₄₃⋊C₄	—	2	2	no	—
450	Dic₄₃⋊C₄	—	2	2	no	—
451	C₄×Dic₄₃	—	2	2	no	—
452	C₄×Dic₄₃	—	2	2	no	—
453	C₄×Dic₄₃	—	2	2	no	—
454	C₄×Dic₄₃	—	2	2	no	—
455	C₄×Dic₄₃	—	2	2	no	—
456	C₄×Dic₄₃	—	2	2	no	—
457	C₄×Dic₄₃	—	2	2	no	—
458	#10621877	—	2	2	no	—
459	#10621877	—	2	2	no	—
460	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
461	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
462	#10621872	—	2	4	no	—
463	#10621872	—	2	4	no	—
464	C₈×D₄₃	—	2	4	no	—
465	C₈×D₄₃	—	2	4	no	—
466	C₂³×C₄₃	—	2	2	no	—
467	C₂³×C₄₃	—	2	1	no	—
468	C₂³×C₄₃	—	4	1	no	—
469	C₂³×C₄₃	—	4	1	no	—
470	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
471	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
472	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
473	C₂²×D₄₃	—	2	4	no	—
474	C₂²×D₄₃	—	4	2	no	—
475	C₂²×D₄₃	—	4	2	no	—
476	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
477	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
478	Q₈×C₄₃	—	2	1	no	—
479	Q₈×C₄₃	—	2	1	no	—
480	D₄×C₄₃	—	2	1	no	—
481	D₄×C₄₃	—	2	1	no	—
482	D₄×C₄₃	—	4	2	no	—
483	D₄×C₄₃	—	4	2	no	—
484	D₄×C₄₃	—	8	1	no	—
485	C₂×C₄×C₄₃	—	2	2	no	—
486	C₂×C₄×C₄₃	—	2	2	no	—
487	C₂×C₄×C₄₃	—	2	2	no	—
488	C₂×C₄×C₄₃	—	2	1	no	—
489	C₂×C₄×C₄₃	—	2	1	no	—
490	C₂×C₄×C₄₃	—	2	1	no	—
491	C₂×C₄×C₄₃	—	2	1	no	—
492	C₂×C₄×C₄₃	—	2	1	no	—
493	C₂×C₄×C₄₃	—	2	1	no	—
494	C₂×C₄×C₄₃	—	2	1	no	—
495	C₂×C₄×C₄₃	—	2	1	no	—
496	C₂×C₄×C₄₃	—	2	1	no	—
497	C₂×C₄×C₄₃	—	2	1	no	—
498	C₂×C₄×C₄₃	—	2	1	no	—
499	C₂×C₄×C₄₃	—	4	2	no	—
500	C₂×C₄×C₄₃	—	8	1	no	—
501	C₂×C₄×C₄₃	—	8	1	no	—
502	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
503	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
504	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
506	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
507	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
508	C₂²⋊D₄₃	—	2	4	no	—
509	C₂²⋊D₄₃	—	2	4	no	—
510	C₂²⋊D₄₃	—	2	4	no	—
511	C₂²⋊D₄₃	—	4	4	no	—
512	C₂²⋊D₄₃	—	8	2	no	—
513	C₂²⋊D₄₃	#123	1	8	yes	—
514	C₂×Dic₄₃	—	2	4	no	—
515	C₂×Dic₄₃	—	2	2	no	—
516	C₂×Dic₄₃	—	2	2	no	—
517	C₂×Dic₄₃	—	2	2	no	—
518	C₂×Dic₄₃	—	2	2	no	—
519	C₂×Dic₄₃	—	4	2	no	—
520	C₂×Dic₄₃	—	4	4	no	—
521	C₂×Dic₄₃	—	8	1	no	—
522	C₂×Dic₄₃	—	8	1	no	—
523	C₂×Dic₄₃	—	8	1	no	—
524	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
525	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
526	D₁₇₂	—	2	4	no	—
527	D₁₇₂	—	2	2	no	—
528	D₁₇₂	#123	1	4	yes	—
529	C₄×D₄₃	—	2	4	no	—
530	C₄×D₄₃	—	2	2	no	—
531	C₄×D₄₃	—	2	2	no	—
532	C₄×D₄₃	—	2	4	no	—
533	C₄×D₄₃	—	4	4	no	—
534	C₄×D₄₃	—	8	2	no	—
535	C₄×D₄₃	—	8	2	no	—
536	C₄×D₄₃	—	8	2	no	—
537	C₄×D₄₃	—	8	2	no	—
538	C₄×D₄₃	—	8	2	no	—
539	C₄×D₄₃	C₂×#41	1	4	yes	—
540	C₄×D₄₃	C₂×#41	1	4	yes	—
541	Dic₈₆	—	2	2	no	—
542	Dic₈₆	—	2	4	no	—
543	Dic₈₆	—	2	2	no	—
544	Dic₈₆	—	2	2	no	—
545	Dic₈₆	—	4	2	no	—
546	Dic₈₆	—	4	4	no	—
547	Dic₈₆	#123	1	4	yes	—
548	C₈×C₄₃	—	2	1	no	—
549	C₈×C₄₃	—	2	1	no	—
550	C₈×C₄₃	—	2	1	no	—
551	C₈×C₄₃	—	2	1	no	—
552	C₄₃⋊C₈	—	2	2	no	—
553	C₄₃⋊C₈	—	2	2	no	—
554	#60524	—	43	1	no	maximal, Sylow
555	C₂²×C₄₃	—	2	1	no	—
556	C₂²×C₄₃	—	2	1	no	—
557	C₂²×C₄₃	—	2	1	no	—
558	C₂²×C₄₃	—	2	1	no	—
559	C₂²×C₄₃	—	2	1	no	—
560	C₂²×C₄₃	—	2	1	no	—
561	C₂²×C₄₃	—	2	1	no	—
562	C₂²×C₄₃	—	2	1	no	—
563	C₂²×C₄₃	—	4	1	no	—
564	C₂²×C₄₃	—	4	1	no	—
565	C₂²×C₄₃	—	4	1	no	—
566	C₂²×C₄₃	—	8	2	no	—
567	C₂²×C₄₃	C₂×#123	1	2	yes	—
568	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
569	C₂×D₄₃	—	2	2	no	—
570	C₂×D₄₃	—	2	2	no	—
571	C₂×D₄₃	—	2	2	no	—
572	C₂×D₄₃	—	2	2	no	—
573	C₂×D₄₃	—	2	2	no	—
574	C₂×D₄₃	—	8	4	no	—
575	C₂×D₄₃	C₂×#123	1	4	yes	—
576	C₄×C₄₃	—	2	1	no	—
577	C₄×C₄₃	—	2	1	no	—
578	C₄×C₄₃	—	4	1	no	—
579	C₄×C₄₃	—	4	1	no	—
580	C₄×C₄₃	—	4	1	no	—
581	C₄×C₄₃	—	4	1	no	—
582	C₄×C₄₃	—	4	1	no	—
583	C₄×C₄₃	—	4	1	no	—
584	C₄×C₄₃	—	4	1	no	—
585	C₄×C₄₃	C₂×#123	1	2	yes	—
586	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
587	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
588	Dic₄₃	—	2	2	no	—
589	Dic₄₃	—	4	2	no	—
590	Dic₄₃	—	4	2	no	—
591	Dic₄₃	—	4	2	no	—
592	Dic₄₃	—	4	2	no	—
593	Dic₄₃	C₂×#123	1	4	yes	—
594	#3489	—	43	1	no	—
595	#3428	—	43	1	no	—
596	#3099	—	43	2	no	—
597	#3099	—	43	1	no	—
598	#3098	—	43	2	no	—
599	#3098	—	43	1	no	—
600	#3097	—	43	2	no	—
601	#3097	—	43	2	no	—
602	#3097	—	43	1	no	—
603	#3097	—	43	1	no	—
604	#3095	—	43	2	no	—
605	#3095	—	43	1	no	—
606	#3093	—	43	2	no	—
607	#3093	—	43	1	no	—
608	#3091	—	43	2	no	—
609	#3091	D₄₃	1	1	yes	characteristic, complemented
610	C₂×#485	—	43	2	no	—
611	C₂×#485	—	43	1	no	—
612	#2913	—	43	1	no	—
613	#2912	—	43	1	no	—
614	#2898	—	43	1	no	—
615	#2898	—	43	1	no	—
616	#2880	—	43	1	no	—
617	C₂×C₄₃	—	2	2	no	—
618	C₂×C₄₃	—	4	1	no	—
619	C₂×C₄₃	—	4	1	no	—
620	C₂×C₄₃	—	8	1	no	—
621	C₂×C₄₃	C₂²×#123	1	1	yes	characteristic
622	C₂×C₄₃	#3584	1	1	yes	characteristic
623	C₂×C₄₃	#3586	1	1	yes	characteristic
624	D₄₃	—	2	4	no	—
625	D₄₃	—	4	2	no	—
626	C₂×2₋¹⁺⁴	—	43	1	no	—
627	C₂²×#41	—	43	1	no	—
628	C₂×#131	—	43	1	no	—
629	C₂×#131	—	43	1	no	—
630	D₄×Q₈	—	86	1	no	—
631	#548	—	86	1	no	—
632	#547	—	86	1	no	—
633	#547	—	86	2	no	—
634	#546	—	86	1	no	—
635	#546	—	86	2	no	—
636	#537	—	43	1	no	—
637	#537	—	43	2	no	—
638	#536	—	43	2	no	—
639	#536	—	43	1	no	—
640	#525	—	43	2	no	—
641	#525	C₂×D₄₃	1	1	yes	characteristic
642	C₂×C₂²⋊Q₈	—	43	1	no	—
643	C₂×C₂²⋊Q₈	—	43	2	no	—
644	#520	—	43	1	no	—
645	#520	—	43	1	no	—
646	#520	—	43	1	no	—
647	#520	—	43	1	no	—
648	#520	—	43	1	no	—
649	#520	—	43	2	no	—
650	#520	—	43	2	no	—
651	#519	—	86	1	no	—
652	#518	—	86	2	no	—
653	#518	—	86	1	no	—
654	C₄×#41	—	86	1	no	—
655	C₄×#41	—	86	1	no	—
656	C₄×#41	—	86	2	no	—
657	C₂×#117	—	43	1	no	—
658	C₂×#117	—	43	2	no	—
659	C₂×#117	—	43	2	no	—
660	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
661	#485	—	43	2	no	—
662	#485	—	43	2	no	—
663	#485	—	43	2	no	—
664	#485	—	43	2	no	—
665	#485	—	43	2	no	—
666	#485	—	43	2	no	—
667	#485	—	43	2	no	—
668	#485	—	43	2	no	—
669	#485	—	43	2	no	—
670	#485	—	43	2	no	—
671	#485	—	43	2	no	—
672	#485	—	43	2	no	—
673	#485	—	43	2	no	—
674	#485	—	43	2	no	—
675	#485	C₂×D₄₃	1	1	yes	characteristic
676	#485	C₂×D₄₃	1	1	yes	characteristic
677	#484	—	43	2	no	—
678	#484	—	43	2	no	—
679	#484	—	43	2	no	—
680	#484	—	43	2	no	—
681	#484	C₂×D₄₃	1	1	yes	characteristic, complemented
682	#483	—	43	2	no	—
683	#483	—	43	2	no	—
684	#483	—	43	2	no	—
685	#483	—	43	2	no	—
686	#483	C₂×D₄₃	1	1	yes	characteristic, complemented
687	#482	—	43	2	no	—
688	#482	—	43	2	no	—
689	#482	—	43	2	no	—
690	#482	—	43	2	no	—
691	#482	C₂×D₄₃	1	1	yes	characteristic
692	#482	C₂×D₄₃	1	1	yes	characteristic
693	#481	—	43	2	no	—
694	#481	C₂×D₄₃	1	1	yes	characteristic, complemented
695	#480	—	43	2	no	—
696	#480	C₂×D₄₃	1	1	yes	characteristic, complemented
697	#428	—	43	1	no	—
698	#428	—	43	1	no	—
699	#428	—	43	1	no	—
700	#428	—	43	1	no	—
701	#428	—	43	2	no	—
702	#428	—	43	2	no	—
703	#428	—	43	2	no	—
704	#428	—	43	2	no	—
705	#427	—	43	2	no	—
706	#427	—	43	2	no	—
707	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
708	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
709	C₂×#107	—	43	1	no	—
710	C₂×#107	—	43	2	no	—
711	C₂×#106	—	43	1	no	—
712	C₂×#106	—	43	2	no	—
713	#419	—	43	1	no	—
714	#419	—	43	1	no	—
715	#419	—	43	2	no	—
716	#419	—	43	2	no	—
717	#417	—	43	1	no	—
718	#417	—	43	1	no	—
719	#417	—	43	2	no	—
720	#417	—	43	2	no	—
721	#416	—	43	2	no	—
722	#416	—	43	2	no	—
723	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
724	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
725	C₂×#103	—	43	1	no	—
726	C₂×#103	—	43	1	no	—
727	C₂×#103	—	43	2	no	—
728	C₂×#103	—	43	2	no	—
729	#408	—	43	1	no	—
730	#408	—	43	1	no	—
731	#408	—	43	2	no	—
732	#408	—	43	2	no	—
733	#407	—	43	1	no	—
734	#407	—	43	2	no	—
735	C₂×C₂²⋊C₈	—	43	2	no	—
736	C₂×C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic
737	C₄₃	#60524	1	1	yes	characteristic, complemented, Sylow
738	2₋¹⁺⁴	—	86	4	no	—
739	2₋¹⁺⁴	—	86	4	no	—
740	C₂×#41	—	43	1	no	—
741	C₂×#41	—	43	2	no	—
742	C₂×#41	—	43	1	no	—
743	C₂×#41	—	43	1	no	—
744	C₂×#41	—	43	2	no	—
745	C₂×#41	—	43	1	no	—
746	C₂×#41	—	43	2	no	—
747	C₂×#41	—	86	1	no	—
748	C₂×#41	—	86	4	no	—
749	C₂×#41	—	86	4	no	—
750	C₂×#41	—	86	2	no	—
751	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
752	C₂²×Q₈	—	43	1	no	—
753	C₂²×Q₈	—	43	2	no	—
754	C₂²×Q₈	—	43	1	no	—
755	C₂²×Q₈	—	86	1	no	—
756	C₂²×D₄	—	43	2	no	—
757	C₂²×D₄	—	43	1	no	—
758	C₂³×C₄	—	43	2	no	—
759	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
760	#131	—	86	4	no	—
761	#131	—	86	4	no	—
762	C₂×M₁₆	—	43	1	no	—
763	C₂×M₁₆	—	43	1	no	—
764	C₂×M₁₆	—	43	2	no	—
765	C₂×M₁₆	—	43	2	no	—
766	C₂²×C₈	—	43	2	no	—
767	C₂²×C₈	—	43	2	no	—
768	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
769	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
770	C₄⋊Q₈	—	86	1	no	—
771	C₄⋊Q₈	—	86	2	no	—
772	#124	—	86	1	no	—
773	#124	—	86	2	no	—
774	#123	—	2	1	no	—
775	#123	—	86	2	no	—
776	#123	—	86	2	no	—
777	#123	—	86	2	no	—
778	#123	—	86	2	no	—
779	C₂²⋊Q₈	—	43	2	no	—
780	C₂²⋊Q₈	—	43	2	no	—
781	C₂²⋊Q₈	—	43	2	no	—
782	C₂²⋊Q₈	—	43	2	no	—
783	C₂²⋊Q₈	—	43	2	no	—
784	C₂²⋊Q₈	—	86	2	no	—
785	C₂²⋊Q₈	—	86	2	no	—
786	C₂²⋊Q₈	—	86	2	no	—
787	C₂²⋊Q₈	—	86	1	no	—
788	C₂²⋊Q₈	—	86	1	no	—
789	C₂²⋊Q₈	—	86	1	no	—
790	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
791	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
792	#121	—	43	2	no	—
793	#121	—	86	2	no	—
794	#121	—	86	1	no	—
795	#121	—	86	2	no	—
796	#121	—	86	2	no	—
797	#121	—	86	2	no	—
798	#121	C₂²×D₄₃	1	1	yes	characteristic
799	#121	C₂²×D₄₃	1	1	yes	characteristic
800	#120	—	2	1	no	—
801	#120	—	86	2	no	—
802	C₄×Q₈	—	86	1	no	—
803	C₄×Q₈	—	86	1	no	—
804	C₄×Q₈	—	86	1	no	—
805	C₄×Q₈	—	86	1	no	—
806	C₄×Q₈	—	86	1	no	—
807	C₄×Q₈	—	86	2	no	—
808	C₄×Q₈	—	86	2	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	86	1	no	—
812	C₄×D₄	—	86	1	no	—
813	C₄×D₄	—	86	1	no	—
814	C₄×D₄	—	86	1	no	—
815	C₄×D₄	—	86	1	no	—
816	C₄×D₄	—	86	2	no	—
817	C₄×D₄	—	86	2	no	—
818	C₄×D₄	—	86	2	no	—
819	C₄×D₄	—	86	2	no	—
820	C₄×D₄	—	86	2	no	—
821	C₄×D₄	—	86	2	no	—
822	C₄×D₄	—	86	2	no	—
823	C₄×D₄	—	86	2	no	—
824	C₄×D₄	—	86	2	no	—
825	C₄×D₄	—	86	2	no	—
826	C₄×D₄	—	86	2	no	—
827	C₄×D₄	—	86	2	no	—
828	C₄×D₄	—	86	2	no	—
829	#117	—	2	1	no	—
830	#117	—	2	1	no	—
831	#117	—	43	2	no	—
832	#117	—	43	2	no	—
833	#117	—	43	2	no	—
834	#117	—	43	2	no	—
835	#117	—	43	2	no	—
836	#117	—	43	2	no	—
837	#117	—	43	2	no	—
838	#117	—	86	2	no	—
839	#117	—	86	2	no	—
840	#117	—	86	2	no	—
841	#117	—	86	2	no	—
842	#117	—	86	1	no	—
843	#117	—	86	1	no	—
844	#117	C₂²×D₄₃	1	1	yes	characteristic
845	#117	C₂²×D₄₃	1	1	yes	characteristic
846	#117	C₂²×D₄₃	1	1	yes	characteristic
847	#117	C₂²×D₄₃	1	1	yes	characteristic
848	#117	C₂²×D₄₃	1	1	yes	characteristic
849	C₂×C₄⋊C₄	—	43	1	no	—
850	C₂×C₄⋊C₄	—	43	1	no	—
851	C₂×C₄⋊C₄	—	43	1	no	—
852	C₂×C₄⋊C₄	—	43	2	no	—
853	C₂×C₄⋊C₄	—	43	2	no	—
854	C₂×C₄⋊C₄	—	43	2	no	—
855	C₂×C₄⋊C₄	—	43	2	no	—
856	C₂×C₄⋊C₄	—	43	2	no	—
857	C₂×C₄⋊C₄	—	86	2	no	—
858	C₂×C₄⋊C₄	—	86	1	no	—
859	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	—	2	1	no	—
862	C₂×C₂²⋊C₄	—	86	2	no	—
863	C₂×C₂²⋊C₄	—	86	2	no	—
864	C₂×C₂²⋊C₄	—	86	2	no	—
865	C₂×C₂²⋊C₄	—	86	1	no	—
866	C₂×C₂²⋊C₄	—	86	1	no	—
867	C₂×C₄²	—	2	1	no	—
868	C₂×C₄²	—	86	2	no	—
869	C₂×C₄²	—	86	2	no	—
870	C₂×C₄²	—	86	1	no	—
871	#107	—	43	2	no	—
872	#107	—	43	2	no	—
873	#107	—	43	2	no	—
874	#107	—	43	2	no	—
875	#107	—	43	2	no	—
876	#107	—	43	2	no	—
877	#107	C₂²×D₄₃	1	1	yes	characteristic
878	#107	C₂²×D₄₃	1	1	yes	characteristic
879	#107	C₂²×D₄₃	1	1	yes	characteristic
880	#107	C₂²×D₄₃	1	1	yes	characteristic
881	#106	—	43	2	no	—
882	#106	—	43	2	no	—
883	#106	—	43	2	no	—
884	#106	—	43	2	no	—
885	#106	—	43	2	no	—
886	#106	—	43	2	no	—
887	#106	C₂²×D₄₃	1	1	yes	characteristic
888	#106	C₂²×D₄₃	1	1	yes	characteristic
889	#106	C₂²×D₄₃	1	1	yes	characteristic
890	#106	C₂²×D₄₃	1	1	yes	characteristic
891	#103	—	43	2	no	—
892	#103	—	43	2	no	—
893	#103	—	43	2	no	—
894	#103	—	43	2	no	—
895	#103	—	43	2	no	—
896	#103	—	43	2	no	—
897	#103	—	43	2	no	—
898	#103	—	43	2	no	—
899	#103	—	43	2	no	—
900	#103	—	43	2	no	—
901	#103	C₂²×D₄₃	1	1	yes	characteristic
902	#103	C₂²×D₄₃	1	1	yes	characteristic
903	#103	C₂²×D₄₃	1	1	yes	characteristic
904	#103	C₂²×D₄₃	1	1	yes	characteristic
905	#102	—	43	2	no	—
906	#102	—	43	2	no	—
907	#102	C₂²×D₄₃	1	1	yes	characteristic
908	#102	C₂²×D₄₃	1	1	yes	characteristic
909	#102	C₂²×D₄₃	1	1	yes	characteristic
910	#102	C₂²×D₄₃	1	1	yes	characteristic
911	C₂²⋊C₈	—	43	2	no	—
912	C₂²⋊C₈	—	43	2	no	—
913	C₂²⋊C₈	—	43	2	no	—
914	C₂²⋊C₈	—	43	2	no	—
915	C₂²⋊C₈	—	43	2	no	—
916	C₂²⋊C₈	—	43	2	no	—
917	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
918	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
919	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
920	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
921	C₂⁴	—	43	2	no	—
922	C₂⁴	D₄×D₄₃	1	1	yes	characteristic
923	#41	—	2	2	no	—
924	#41	—	2	2	no	—
925	#41	—	43	4	no	—
926	#41	—	43	4	no	—
927	#41	—	86	4	no	—
928	#41	—	86	4	no	—
929	#41	—	86	8	no	—
930	#41	—	86	4	no	—
931	#41	—	86	4	no	—
932	#41	—	86	4	no	—
933	#41	—	86	4	no	—
934	#41	—	86	2	no	—
935	#41	—	86	2	no	—
936	#41	—	172	4	no	—
937	#41	—	172	8	no	—
938	C₂×Q₈	—	43	1	no	—
939	C₂×Q₈	—	43	2	no	—
940	C₂×Q₈	—	43	1	no	—
941	C₂×Q₈	—	43	2	no	—
942	C₂×Q₈	—	86	2	no	—
943	C₂×Q₈	—	86	4	no	—
944	C₂×Q₈	—	86	4	no	—
945	C₂×Q₈	—	86	4	no	—
946	C₂×Q₈	—	86	1	no	—
947	C₂×Q₈	—	86	2	no	—
948	C₂×Q₈	—	86	2	no	—
949	C₂×Q₈	—	172	4	no	—
950	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
951	C₂×D₄	—	2	1	no	—
952	C₂×D₄	—	2	1	no	—
953	C₂×D₄	—	2	1	no	—
954	C₂×D₄	—	43	2	no	—
955	C₂×D₄	—	43	2	no	—
956	C₂×D₄	—	43	2	no	—
957	C₂×D₄	—	43	2	no	—
958	C₂×D₄	—	43	1	no	—
959	C₂×D₄	—	43	2	no	—
960	C₂×D₄	—	43	1	no	—
961	C₂×D₄	—	86	4	no	—
962	C₂×D₄	—	86	8	no	—
963	C₂×D₄	—	86	2	no	—
964	C₂×D₄	—	86	2	no	—
965	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	1	no	—
969	C₂²×C₄	—	2	1	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	43	2	no	—
972	C₂²×C₄	—	43	2	no	—
973	C₂²×C₄	—	43	2	no	—
974	C₂²×C₄	—	43	2	no	—
975	C₂²×C₄	—	43	2	no	—
976	C₂²×C₄	—	86	4	no	—
977	C₂²×C₄	—	86	4	no	—
978	C₂²×C₄	—	86	2	no	—
979	C₂²×C₄	—	86	2	no	—
980	C₂²×C₄	—	86	2	no	—
981	C₂²×C₄	—	86	2	no	—
982	C₂²×C₄	—	86	2	no	—
983	C₂²×C₄	—	86	2	no	—
984	C₂²×C₄	—	86	2	no	—
985	C₂²×C₄	—	86	1	no	—
986	C₂²×C₄	—	86	1	no	—
987	C₂²×C₄	—	86	1	no	—
988	C₂²×C₄	—	86	1	no	—
989	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
990	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
991	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
993	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
994	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
995	M₁₆	—	86	4	no	—
996	M₁₆	—	86	4	no	—
997	M₁₆	—	86	2	no	—
998	M₁₆	—	86	2	no	—
999	C₂×C₈	—	2	2	no	—
1000	C₂×C₈	—	2	2	no	—
1001	C₂×C₈	—	43	2	no	—
1002	C₂×C₈	—	43	2	no	—
1003	C₂×C₈	—	86	4	no	—
1004	C₂×C₈	—	86	4	no	—
1005	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1006	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1007	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1008	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1009	C₄⋊C₄	—	2	1	no	—
1010	C₄⋊C₄	—	2	1	no	—
1011	C₄⋊C₄	—	2	1	no	—
1012	C₄⋊C₄	—	2	1	no	—
1013	C₄⋊C₄	—	43	2	no	—
1014	C₄⋊C₄	—	43	2	no	—
1015	C₄⋊C₄	—	43	2	no	—
1016	C₄⋊C₄	—	86	2	no	—
1017	C₄⋊C₄	—	86	2	no	—
1018	C₄⋊C₄	—	86	2	no	—
1019	C₄⋊C₄	—	86	2	no	—
1020	C₄⋊C₄	—	86	2	no	—
1021	C₄⋊C₄	—	86	2	no	—
1022	C₄⋊C₄	—	86	2	no	—
1023	C₄⋊C₄	—	86	2	no	—
1024	C₄⋊C₄	—	86	1	no	—
1025	C₄⋊C₄	—	86	1	no	—
1026	C₄⋊C₄	—	86	1	no	—
1027	C₄⋊C₄	—	86	2	no	—
1028	C₄⋊C₄	—	86	2	no	—
1029	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1030	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1031	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1032	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1033	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1034	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	1	no	—
1038	C₂²⋊C₄	—	2	1	no	—
1039	C₂²⋊C₄	—	2	1	no	—
1040	C₂²⋊C₄	—	2	1	no	—
1041	C₂²⋊C₄	—	2	1	no	—
1042	C₂²⋊C₄	—	2	1	no	—
1043	C₂²⋊C₄	—	2	1	no	—
1044	C₂²⋊C₄	—	86	2	no	—
1045	C₂²⋊C₄	—	86	2	no	—
1046	C₂²⋊C₄	—	86	2	no	—
1047	C₂²⋊C₄	—	86	2	no	—
1048	C₂²⋊C₄	—	86	2	no	—
1049	C₂²⋊C₄	—	86	2	no	—
1050	C₂²⋊C₄	—	86	2	no	—
1051	C₂²⋊C₄	—	86	2	no	—
1052	C₂²⋊C₄	—	86	2	no	—
1053	C₂²⋊C₄	—	86	2	no	—
1054	C₂²⋊C₄	—	86	2	no	—
1055	C₂²⋊C₄	—	86	2	no	—
1056	C₂²⋊C₄	—	86	2	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	86	2	no	—
1063	C₄²	—	86	2	no	—
1064	C₄²	—	86	2	no	—
1065	C₄²	—	86	2	no	—
1066	C₄²	—	86	2	no	—
1067	C₄²	—	86	2	no	—
1068	C₄²	—	86	2	no	—
1069	C₂³	—	2	2	no	—
1070	C₂³	—	2	1	no	—
1071	C₂³	—	4	1	no	—
1072	C₂³	—	4	1	no	—
1073	C₂³	—	43	2	no	—
1074	C₂³	—	43	2	no	—
1075	C₂³	—	86	4	no	—
1076	C₂³	—	172	2	no	—
1077	C₂³	—	172	2	no	—
1078	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1079	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1080	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1081	Q₈	—	2	1	no	—
1082	Q₈	—	2	1	no	—
1083	Q₈	—	43	4	no	—
1084	Q₈	—	86	4	no	—
1085	Q₈	—	86	2	no	—
1086	Q₈	—	86	2	no	—
1087	Q₈	—	86	2	no	—
1088	Q₈	—	172	4	no	—
1089	Q₈	—	172	2	no	—
1090	D₄	—	2	1	no	—
1091	D₄	—	2	1	no	—
1092	D₄	—	4	2	no	—
1093	D₄	—	4	2	no	—
1094	D₄	—	8	1	no	—
1095	D₄	—	43	8	no	—
1096	D₄	—	43	4	no	—
1097	D₄	—	86	4	no	—
1098	D₄	—	86	4	no	—
1099	D₄	—	86	4	no	—
1100	D₄	—	86	4	no	—
1101	D₄	—	86	2	no	—
1102	D₄	—	344	2	no	—
1103	D₄	—	172	4	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	1	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	4	2	no	—
1119	C₂×C₄	—	8	1	no	—
1120	C₂×C₄	—	8	1	no	—
1121	C₂×C₄	—	43	2	no	—
1122	C₂×C₄	—	43	4	no	—
1123	C₂×C₄	—	43	4	no	—
1124	C₂×C₄	—	43	2	no	—
1125	C₂×C₄	—	86	4	no	—
1126	C₂×C₄	—	86	4	no	—
1127	C₂×C₄	—	86	4	no	—
1128	C₂×C₄	—	86	2	no	—
1129	C₂×C₄	—	86	2	no	—
1130	C₂×C₄	—	86	2	no	—
1131	C₂×C₄	—	86	2	no	—
1132	C₂×C₄	—	86	2	no	—
1133	C₂×C₄	—	86	2	no	—
1134	C₂×C₄	—	344	2	no	—
1135	C₂×C₄	—	344	2	no	—
1136	C₂×C₄	—	344	2	no	—
1137	C₂×C₄	—	344	2	no	—
1138	C₂×C₄	—	344	2	no	—
1139	C₂×C₄	—	344	1	no	—
1140	C₂×C₄	—	344	1	no	—
1141	C₂×C₄	—	344	1	no	—
1142	C₂×C₄	—	172	4	no	—
1143	C₂×C₄	—	172	4	no	—
1144	C₂×C₄	—	172	2	no	—
1145	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1146	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1147	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1148	C₂×C₄	#41×D₄₃	1	2	yes	—
1149	C₂×C₄	#41×D₄₃	1	2	yes	—
1150	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1151	C₈	—	2	1	no	—
1152	C₈	—	2	1	no	—
1153	C₈	—	2	1	no	—
1154	C₈	—	2	1	no	—
1155	C₈	—	86	2	no	—
1156	C₈	—	86	2	no	—
1157	C₂²	—	2	1	no	—
1158	C₂²	—	2	1	no	—
1159	C₂²	—	2	1	no	—
1160	C₂²	—	2	1	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	1	no	—
1164	C₂²	—	2	1	no	—
1165	C₂²	—	4	1	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	1	no	—
1168	C₂²	—	8	2	no	—
1169	C₂²	—	43	4	no	—
1170	C₂²	—	86	2	no	—
1171	C₂²	—	86	2	no	—
1172	C₂²	—	86	2	no	—
1173	C₂²	—	86	2	no	—
1174	C₂²	—	86	2	no	—
1175	C₂²	—	344	4	no	—
1176	C₂²	#123×D₄₃	1	2	yes	—
1177	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1178	C₄	—	2	1	no	—
1179	C₄	—	2	1	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	1	no	—
1184	C₄	—	4	1	no	—
1185	C₄	—	4	1	no	—
1186	C₄	—	4	1	no	—
1187	C₄	—	43	4	no	—
1188	C₄	—	86	2	no	—
1189	C₄	—	172	2	no	—
1190	C₄	—	172	2	no	—
1191	C₄	—	172	2	no	—
1192	C₄	—	172	2	no	—
1193	C₄	#123×D₄₃	1	2	yes	—
1194	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1195	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1196	C₂	—	2	2	no	—
1197	C₂	—	4	1	no	—
1198	C₂	—	4	1	no	—
1199	C₂	—	8	1	no	—
1200	C₂	—	86	4	no	—
1201	C₂	—	172	2	no	—
1202	C₂	C₂×#123×D₄₃	1	1	yes	characteristic
1203	C₂	#19149364	1	1	yes	characteristic
1204	C₂	#19149379	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3091	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	#19148267	C₂
hypercenter	#3091	D₄₃
hypocenter	C₄₃	#60524
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3091

Complements

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

N	H ≅ G/N	type
2. #19147796	C₂	semidirect
3. #19144585	C₂	semidirect
4. #19144582	C₂	semidirect
5. #19144571	C₂	semidirect
6. #19144568	C₂	semidirect
7. #19144567	C₂	semidirect
8. #19144567	C₂	semidirect
9. #19144563	C₂	semidirect
10. #19144557	C₂	semidirect
11. #19144543	C₂	semidirect
12. #19144542	C₂	semidirect
13. #19144524	C₂	semidirect
14. #19144523	C₂	semidirect
15. #19144507	C₂	semidirect
16. C₂×#14583241	C₂	semidirect
17. #485×D₄₃	C₂	semidirect
18. #19143192	C₂	semidirect
19. #19143187	C₂	semidirect
20. #19143124	C₂	semidirect
21. #19143124	C₂	semidirect
22. #19143041	C₂	semidirect
23. C₄₃×#3091	C₂	semidirect
57. #14583243	C₂²	semidirect
58. #14583243	C₂²	semidirect
59. #14583242	C₂²	semidirect
60. #14583242	C₂²	semidirect
63. #14583241	C₂²	semidirect
64. #14583241	C₂²	semidirect
67. #14583239	C₂²	semidirect
68. #14583238	C₂²	semidirect
70. #14583237	C₂²	semidirect
71. #14583236	C₂²	semidirect
72. #14583236	C₂²	semidirect
73. #14583234	C₂²	semidirect
74. #14583233	C₂²	semidirect
75. #14583231	C₂²	semidirect
76. #14583231	C₂²	semidirect
77. #14583229	C₂²	semidirect
78. #14583228	C₂²	semidirect
79. #14583222	C₂²	semidirect
80. #14583221	C₂²	semidirect
82. #14583220	C₂²	semidirect
83. #14583216	C₂²	semidirect
84. #14583211	C₂²	semidirect
85. #14582942	C₂²	semidirect
86. #14582942	C₂²	semidirect
87. #14582942	C₂²	semidirect
88. #14582942	C₂²	semidirect
89. #14582940	C₂²	semidirect
90. #14582940	C₂²	semidirect
91. #14582938	C₂²	semidirect
92. #14582938	C₂²	semidirect
93. #14582936	C₂²	semidirect
94. #14582934	C₂²	semidirect
95. C₂×#13063259	C₂²	semidirect
96. #107×D₄₃	C₂²	semidirect
97. C₂×#13063257	C₂²	semidirect
98. #106×D₄₃	C₂²	semidirect
99. #14582907	C₂²	semidirect
100. #14582907	C₂²	semidirect
101. #14582906	C₂²	semidirect
102. #14582906	C₂²	semidirect
103. #14582900	C₂²	semidirect
104. #14582900	C₂²	semidirect
105. #14582897	C₂²	semidirect
106. #14582897	C₂²	semidirect
107. #14582892	C₂²	semidirect
108. #14582892	C₂²	semidirect
109. C₂×#13063250	C₂²	semidirect
110. C₂×#13063250	C₂²	semidirect
111. #103×D₄₃	C₂²	semidirect
112. #103×D₄₃	C₂²	semidirect
124. C₄₃×#484	C₂²	semidirect
125. C₄₃×#483	C₂²	semidirect
128. C₄₃×#481	C₂²	semidirect
129. C₄₃×#480	C₂²	semidirect
130. C₄₃×#427	C₂²	semidirect
131. C₄₃×#427	C₂²	semidirect
132. C₄₃×#416	C₂²	semidirect
133. C₄₃×#416	C₂²	semidirect
609. #3091	D₄₃	semidirect
681. #484	C₂×D₄₃	semidirect
686. #483	C₂×D₄₃	semidirect
694. #481	C₂×D₄₃	semidirect
696. #480	C₂×D₄₃	semidirect
707. #427	C₂×D₄₃	semidirect
708. #427	C₂×D₄₃	semidirect
723. #416	C₂×D₄₃	semidirect
724. #416	C₂×D₄₃	semidirect
737. C₄₃	#60524	semidirect

Maximal subgroups

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

subgroup	index
#19148267	2
#19147796	2
#19144585	2
#19144582	2
#19144571	2
#19144568	2
#19144567	2
#19144563	2
#19144557	2
#19144543	2
#19144542	2
#19144524	2
#19144523	2
#19144507	2
C₂×#14583241	2
#485×D₄₃	2
#19143192	2
#19143187	2
#19143124	2
#19143041	2
C₄₃×#3091	2
#60524	43