Subgroups — #25966798

Order 11008.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1186 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148349	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148332	C₂	1	1	yes	maximal, characteristic, complemented
3	#19145299	C₂	1	2	yes	maximal, complemented
4	#19145288	C₂	1	2	yes	maximal, complemented
5	#19145281	C₂	1	2	yes	maximal, complemented
6	#19145266	C₂	1	2	yes	maximal, complemented
7	#19145216	C₂	1	2	yes	maximal, complemented
8	#19145205	C₂	1	2	yes	maximal, complemented
9	#19145158	C₂	1	2	yes	maximal, complemented
10	#19145149	C₂	1	2	yes	maximal, complemented
11	#19145127	C₂	1	1	yes	maximal, characteristic, complemented
12	#19145072	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144964	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144953	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144227	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144216	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#14583128	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143479	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143453	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143441	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143430	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14582854	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3050	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063355	C₂²	1	1	yes	characteristic
25	C₂×#13063350	C₂²	1	1	yes	characteristic
26	C₂²×#10621873	C₂²	1	1	yes	characteristic
27	C₂²×#10621877	C₂²	1	1	yes	characteristic
28	#14583619	—	2	1	no	—
29	#14583614	—	2	1	no	—
30	#14583606	—	2	1	no	—
31	#14583595	—	2	1	no	—
32	#14583595	—	2	1	no	—
33	#14583589	—	2	1	no	—
34	#14583589	—	2	1	no	—
35	#14583586	—	2	2	no	—
36	#14583580	—	2	2	no	—
37	#14583572	—	2	2	no	—
38	#14583553	—	2	1	no	—
39	#14583536	—	2	2	no	—
40	#14583527	C₂²	1	1	yes	characteristic
41	#14583527	C₂²	1	1	yes	characteristic
42	#14583522	C₂²	1	2	yes	—
43	#14583516	C₂²	1	2	yes	complemented
44	#14583509	C₂²	1	2	yes	complemented
45	#14583502	C₂²	1	2	yes	—
46	#14583470	C₂²	1	1	yes	characteristic
47	#14583463	C₂²	1	1	yes	characteristic
48	#14583451	C₂²	1	2	yes	complemented
49	#14583444	C₂²	1	2	yes	—
50	#14583435	C₂²	1	2	yes	—
51	#14583430	C₂²	1	2	yes	complemented
52	C₂×#13063304	C₂²	1	1	yes	characteristic
53	C₂×#13063299	C₂²	1	1	yes	characteristic
54	#14583382	C₂²	1	1	yes	characteristic
55	#14583382	C₂²	1	1	yes	characteristic
56	#14583376	C₂²	1	1	yes	characteristic
57	#14583373	C₂²	1	1	yes	characteristic
58	C₂×#13063284	C₂²	1	1	yes	characteristic
59	#14583307	C₂²	1	2	yes	complemented
60	#14583307	C₂²	1	2	yes	complemented
61	#14583299	C₂²	1	2	yes	complemented
62	#14583296	C₂²	1	2	yes	complemented
63	#14583292	C₂²	1	2	yes	complemented
64	#14583287	C₂²	1	2	yes	complemented
65	#14583280	C₂²	1	2	yes	complemented
66	#14583270	C₂²	1	2	yes	complemented
67	#14583266	C₂²	1	2	yes	complemented
68	#14583262	C₂²	1	2	yes	complemented
69	#14583260	C₂²	1	2	yes	complemented
70	#14583257	C₂²	1	2	yes	complemented
71	#14583255	C₂²	1	2	yes	complemented
72	#14583252	C₂²	1	2	yes	complemented
73	#14583248	C₂²	1	2	yes	complemented
74	#14583244	C₂²	1	2	yes	complemented
75	#14583155	C₂²	1	2	yes	complemented
76	#14583150	C₂²	1	2	yes	—
77	#14583147	C₂²	1	2	yes	—
78	#14583143	C₂²	1	2	yes	complemented
79	#14583138	C₂²	1	2	yes	complemented
80	#14583133	C₂²	1	2	yes	—
81	#14583130	C₂²	1	2	yes	—
82	#14583128	C₂²	1	2	yes	—
83	#14583128	C₂²	1	2	yes	—
84	#14583128	C₂²	1	2	yes	—
85	#14583128	C₂²	1	2	yes	—
86	#14583126	C₂²	1	2	yes	complemented
87	#14583011	C₂²	1	2	yes	complemented
88	#14583008	C₂²	1	2	yes	complemented
89	#14583006	C₂²	1	2	yes	complemented
90	#14583003	C₂²	1	2	yes	complemented
91	#14583002	C₂²	1	2	yes	complemented
92	#14582998	C₂²	1	2	yes	complemented
93	#14582998	C₂²	1	2	yes	complemented
94	#14582996	C₂²	1	2	yes	complemented
95	#14582991	C₂²	1	2	yes	complemented
96	#14582990	C₂²	1	2	yes	complemented
97	SD₁₆×Dic₄₃	C₂²	1	2	yes	complemented
98	SD₁₆×Dic₄₃	C₂²	1	2	yes	complemented
99	#14582986	C₂²	1	2	yes	complemented
100	#14582986	C₂²	1	2	yes	complemented
101	#14582984	C₂²	1	2	yes	complemented
102	#14582979	C₂²	1	2	yes	complemented
103	#14582942	C₂²	1	1	yes	characteristic
104	#14582942	C₂²	1	1	yes	characteristic
105	C₂×#13063257	C₂²	1	1	yes	characteristic
106	#14582907	C₂²	1	1	yes	characteristic
107	#14582903	C₂²	1	1	yes	characteristic
108	#14582900	C₂²	1	1	yes	characteristic
109	#14582900	C₂²	1	1	yes	characteristic
110	C₂×#13063250	C₂²	1	1	yes	characteristic
111	C₂×#13063247	C₂²	1	1	yes	characteristic
112	#14582854	C₂²	1	1	yes	characteristic
113	#14582854	C₂²	1	1	yes	characteristic
114	#14582854	C₂²	1	1	yes	characteristic
115	#14582854	C₂²	1	1	yes	characteristic
116	#14582854	C₂²	1	2	yes	complemented
117	#14582854	C₂²	1	2	yes	complemented
118	C₂×#13063235	C₂²	1	2	yes	complemented
119	C₂×C₈×Dic₄₃	C₂²	1	2	yes	complemented
120	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic
121	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
122	C₄₃×#525	C₂²	1	1	yes	characteristic
123	C₄₃×#525	C₂²	1	1	yes	characteristic
124	C₄₃×#467	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#467	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#466	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#466	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#465	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#465	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#465	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#465	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#427	C₂²	1	1	yes	characteristic
133	C₄₃×#416	C₂²	1	1	yes	characteristic
134	C₄₃×#416	C₂²	1	1	yes	characteristic
135	C₂×#10621900	—	2	2	no	—
136	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
137	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
138	C₂²×C₂²⋊D₄₃	—	2	1	no	—
139	#13063355	—	2	4	no	—
140	#13063350	—	2	4	no	—
141	C₂×#10621885	C₂³	1	2	yes	—
142	C₂×#10621873	—	2	4	no	—
143	C₂×#10621873	C₂³	1	2	yes	—
144	C₂×#10621873	C₂³	1	2	yes	—
145	C₂×#10621883	C₂³	1	2	yes	—
146	C₂×#10621884	C₂³	1	2	yes	—
147	C₂×#10621882	C₂³	1	2	yes	—
148	C₂×#10621877	—	2	4	no	—
149	C₂×#10621877	C₂³	1	1	yes	characteristic
150	C₂×#10621877	C₂³	1	2	yes	—
151	C₂×#10621877	C₂³	1	1	yes	characteristic
152	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
153	#13063325	—	2	1	no	—
154	#13063325	—	2	1	no	—
155	#13063324	C₂³	1	2	yes	—
156	#13063324	C₂³	1	2	yes	—
157	#13063323	C₂³	1	2	yes	—
158	#13063321	C₂³	1	2	yes	—
159	#13063320	—	2	2	no	—
160	#13063320	—	2	2	no	—
161	#13063318	—	2	2	no	—
162	#13063318	—	2	2	no	—
163	#13063318	—	2	2	no	—
164	#13063318	—	2	2	no	—
165	#13063317	—	2	1	no	—
166	#13063317	—	2	1	no	—
167	#13063316	—	2	2	no	—
168	#13063316	C₂³	1	2	yes	—
169	#13063316	C₂³	1	2	yes	—
170	#13063315	—	2	2	no	—
171	#13063315	—	2	2	no	—
172	#13063314	C₂³	1	2	yes	—
173	#13063312	—	2	2	no	—
174	#13063312	C₂³	1	2	yes	—
175	#13063311	—	2	2	no	—
176	#13063311	—	2	2	no	—
177	#13063309	—	2	2	no	—
178	#13063309	—	2	2	no	—
179	#13063307	—	2	2	no	—
180	#13063307	—	2	2	no	—
181	#13063306	—	2	2	no	—
182	#13063306	—	2	2	no	—
183	#13063306	—	2	2	no	—
184	#13063305	—	2	2	no	—
185	#13063304	—	2	1	no	—
186	#13063304	—	2	1	no	—
187	#13063304	—	2	1	no	—
188	#13063304	—	2	1	no	—
189	#13063304	C₂³	1	2	yes	—
190	#13063304	C₂³	1	2	yes	—
191	#13063302	—	2	2	no	—
192	#13063302	—	2	2	no	—
193	#13063302	—	2	2	no	—
194	#13063302	—	2	2	no	—
195	#13063299	—	2	1	no	—
196	#13063299	—	2	1	no	—
197	#13063299	—	2	1	no	—
198	#13063299	—	2	1	no	—
199	#13063299	C₂³	1	2	yes	—
200	#13063299	C₂³	1	2	yes	—
201	#13063297	—	2	2	no	—
202	#13063297	—	2	2	no	—
203	#13063296	—	2	2	no	—
204	#13063293	—	2	2	no	—
205	Q₈×Dic₄₃	C₂³	1	2	yes	—
206	Q₈×Dic₄₃	C₂³	1	2	yes	—
207	C₄×Dic₈₆	—	2	1	no	—
208	C₄×Dic₈₆	—	2	1	no	—
209	#13063290	—	2	2	no	—
210	#13063290	C₂³	1	2	yes	—
211	#13063290	C₂³	1	2	yes	—
212	C₄×D₁₇₂	—	2	1	no	—
213	C₄×D₁₇₂	—	2	1	no	—
214	D₄×Dic₄₃	—	2	2	no	—
215	D₄×Dic₄₃	—	2	2	no	—
216	D₄×Dic₄₃	—	2	2	no	—
217	D₄×Dic₄₃	C₂³	1	2	yes	—
218	D₄×Dic₄₃	C₂³	1	2	yes	—
219	#13063287	C₂³	1	2	yes	—
220	#13063287	C₂³	1	2	yes	—
221	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
222	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
223	#13063284	—	2	1	no	—
224	#13063284	—	2	1	no	—
225	#13063284	D₄	1	2	yes	—
226	#13063284	D₄	1	1	yes	characteristic
227	#13063284	D₄	1	1	yes	characteristic
228	#13063284	C₂³	1	1	yes	characteristic
229	#13063284	C₂³	1	1	yes	characteristic
230	#13063284	C₂³	1	2	yes	—
231	#13063283	—	2	2	no	—
232	#13063281	—	2	2	no	—
233	#13063281	—	2	2	no	—
234	#13063281	—	2	2	no	—
235	C₂×C₄⋊Dic₄₃	—	2	1	no	—
236	C₂×C₄⋊Dic₄₃	—	2	1	no	—
237	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
238	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
239	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₃⋊C₄	—	2	1	no	—
242	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
243	C₂×C₂²⋊Dic₄₃	D₄	1	2	yes	—
244	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
245	C₂²⋊C₄×D₄₃	—	2	2	no	—
246	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
247	#13063258	C₂³	1	2	yes	—
248	#13063258	C₂³	1	2	yes	—
249	#13063257	C₂³	1	2	yes	—
250	#13063257	C₂³	1	2	yes	—
251	#13063256	C₂³	1	2	yes	—
252	#13063256	C₂³	1	2	yes	—
253	#13063250	C₂³	1	2	yes	—
254	#13063250	C₂³	1	2	yes	—
255	#13063249	C₂³	1	2	yes	—
256	#13063249	C₂³	1	2	yes	—
257	#13063248	C₂³	1	2	yes	—
258	#13063248	C₂³	1	2	yes	—
259	#13063247	C₂³	1	2	yes	—
260	#13063247	C₂³	1	2	yes	—
261	#13063246	C₂³	1	2	yes	—
262	#13063246	C₂³	1	2	yes	—
263	#13063245	C₂³	1	2	yes	—
264	#13063245	C₂³	1	2	yes	—
265	#13063235	C₂³	1	2	yes	—
266	#13063235	C₂³	1	2	yes	—
267	#13063235	C₂³	1	2	yes	—
268	#13063235	C₂³	1	2	yes	—
269	C₈×Dic₄₃	C₂³	1	2	yes	—
270	C₈×Dic₄₃	C₂³	1	2	yes	—
271	C₈×Dic₄₃	C₂³	1	2	yes	—
272	C₈×Dic₄₃	C₂³	1	2	yes	—
273	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
274	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
275	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
276	#135×C₄₃	—	2	4	no	—
277	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
279	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
280	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
281	C₂²×C₈×C₄₃	—	2	4	no	—
282	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
283	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
285	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
286	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
288	#123×C₄₃	—	2	1	no	—
289	#123×C₄₃	—	2	1	no	—
290	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
291	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
292	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
293	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
294	#121×C₄₃	C₂³	1	1	yes	characteristic
295	#121×C₄₃	C₂³	1	1	yes	characteristic
296	#121×C₄₃	C₂³	1	1	yes	characteristic
297	#121×C₄₃	C₂³	1	1	yes	characteristic
298	#120×C₄₃	—	2	1	no	—
299	#120×C₄₃	—	2	1	no	—
300	C₄×D₄×C₄₃	—	2	1	no	—
301	C₄×D₄×C₄₃	—	2	1	no	—
302	C₄×D₄×C₄₃	—	2	1	no	—
303	C₄×D₄×C₄₃	—	2	1	no	—
304	#117×C₄₃	C₂³	1	1	yes	characteristic
305	#117×C₄₃	C₂³	1	1	yes	characteristic
306	#107×C₄₃	C₂³	1	1	yes	characteristic
307	#107×C₄₃	C₂³	1	1	yes	characteristic
308	#106×C₄₃	C₂³	1	1	yes	characteristic
309	#106×C₄₃	C₂³	1	1	yes	characteristic
310	#103×C₄₃	C₂³	1	1	yes	characteristic
311	#103×C₄₃	C₂³	1	1	yes	characteristic
312	#103×C₄₃	C₂³	1	1	yes	characteristic
313	#103×C₄₃	C₂³	1	1	yes	characteristic
314	#102×C₄₃	C₂³	1	1	yes	characteristic
315	#102×C₄₃	C₂³	1	1	yes	characteristic
316	#102×C₄₃	C₂³	1	1	yes	characteristic
317	#102×C₄₃	C₂³	1	1	yes	characteristic
318	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
319	C₂³×D₄₃	—	2	1	no	—
320	#41×C₄₃	—	2	2	no	—
321	#41×C₄₃	—	2	2	no	—
322	#41×C₄₃	—	2	2	no	—
323	#41×C₄₃	—	2	2	no	—
324	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
325	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₄₃	—	2	1	no	—
327	C₂×D₄×C₄₃	—	2	1	no	—
328	C₂×D₄×C₄₃	—	2	1	no	—
329	C₂×D₄×C₄₃	—	2	1	no	—
330	C₂×D₄×C₄₃	—	2	1	no	—
331	C₂×D₄×C₄₃	—	2	1	no	—
332	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₄₃	—	2	2	no	—
335	C₂²×C₄×C₄₃	—	2	2	no	—
336	C₂²×C₄×C₄₃	—	2	1	no	—
337	C₂²×C₄×C₄₃	—	2	1	no	—
338	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
339	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
340	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
341	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
344	C₂×C₂²⋊D₄₃	—	2	2	no	—
345	C₂×C₂²⋊D₄₃	—	2	2	no	—
346	C₂×C₂²⋊D₄₃	—	2	2	no	—
347	C₂×C₂²⋊D₄₃	—	2	2	no	—
348	C₂×C₂²⋊D₄₃	—	8	2	no	—
349	C₂²×Dic₄₃	—	2	2	no	—
350	C₂²×Dic₄₃	—	2	2	no	—
351	C₂²×Dic₄₃	—	2	1	no	—
352	C₂²×Dic₄₃	—	2	1	no	—
353	C₂²×Dic₄₃	—	2	1	no	—
354	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
355	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
356	#10621900	—	8	4	no	—
357	C₂×D₁₇₂	—	2	1	no	—
358	C₂×D₁₇₂	—	2	2	no	—
359	C₂×D₁₇₂	—	2	2	no	—
360	C₂×D₁₇₂	C₂⁴	1	2	yes	—
361	C₂×C₄×D₄₃	—	2	2	no	—
362	C₂×C₄×D₄₃	—	2	2	no	—
363	C₂×Dic₈₆	—	2	2	no	—
364	C₂×Dic₈₆	—	2	2	no	—
365	C₂×Dic₈₆	—	2	1	no	—
366	C₂×Dic₈₆	—	2	2	no	—
367	C₂×Dic₈₆	—	2	2	no	—
368	C₂×Dic₈₆	C₂⁴	1	2	yes	—
369	Q₁₆×C₄₃	—	2	2	no	—
370	SD₁₆×C₄₃	—	2	2	no	—
371	SD₁₆×C₄₃	—	2	2	no	—
372	D₈×C₄₃	—	2	2	no	—
373	C₂×C₈×C₄₃	—	2	2	no	—
374	C₂×C₈×C₄₃	—	2	2	no	—
375	C₂×C₈×C₄₃	—	2	2	no	—
376	C₂×C₈×C₄₃	—	2	2	no	—
377	C₂×C₈×C₄₃	—	2	2	no	—
378	C₂×C₈×C₄₃	#41	1	4	yes	complemented
379	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
383	C₄⋊C₄×C₄₃	—	2	1	no	—
384	C₄⋊C₄×C₄₃	—	2	1	no	—
385	C₄⋊C₄×C₄₃	—	2	1	no	—
386	C₄⋊C₄×C₄₃	—	2	1	no	—
387	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²⋊C₄×C₄₃	—	2	1	no	—
392	C₂²⋊C₄×C₄₃	—	2	1	no	—
393	C₂²⋊C₄×C₄₃	—	2	1	no	—
394	C₂²⋊C₄×C₄₃	—	2	1	no	—
395	C₂²⋊C₄×C₄₃	—	2	1	no	—
396	C₂²⋊C₄×C₄₃	—	2	1	no	—
397	C₂²⋊C₄×C₄₃	—	2	1	no	—
398	C₂²⋊C₄×C₄₃	—	2	1	no	—
399	C₂²⋊C₄×C₄₃	—	2	1	no	—
400	C₂²⋊C₄×C₄₃	—	2	1	no	—
401	C₄²×C₄₃	—	2	1	no	—
402	C₄²×C₄₃	—	2	1	no	—
403	C₂²⋊Dic₄₃	—	2	2	no	—
404	C₂²⋊Dic₄₃	—	2	2	no	—
405	C₂²⋊Dic₄₃	—	2	2	no	—
406	C₂²⋊Dic₄₃	—	2	2	no	—
407	C₂²⋊Dic₄₃	—	2	2	no	—
408	C₂²⋊Dic₄₃	—	2	2	no	—
409	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
410	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
411	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
412	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
413	#10621885	—	2	4	no	—
414	#10621884	—	2	4	no	—
415	#10621883	—	2	4	no	—
416	#10621882	—	2	4	no	—
417	(C₂×D₄₃)⋊C₄	—	2	2	no	—
418	(C₂×D₄₃)⋊C₄	—	2	2	no	—
419	(C₂×D₄₃)⋊C₄	—	2	2	no	—
420	(C₂×D₄₃)⋊C₄	—	2	2	no	—
421	(C₂×D₄₃)⋊C₄	—	2	2	no	—
422	(C₂×D₄₃)⋊C₄	—	2	2	no	—
423	C₄⋊Dic₄₃	—	2	1	no	—
424	C₄⋊Dic₄₃	—	2	1	no	—
425	C₄⋊Dic₄₃	—	2	2	no	—
426	C₄⋊Dic₄₃	—	2	2	no	—
427	C₄⋊Dic₄₃	—	2	2	no	—
428	C₄⋊Dic₄₃	—	2	2	no	—
429	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
430	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
431	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
432	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
433	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
434	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
435	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
436	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
437	Dic₄₃⋊C₄	—	2	2	no	—
438	Dic₄₃⋊C₄	—	2	2	no	—
439	Dic₄₃⋊C₄	—	2	2	no	—
440	Dic₄₃⋊C₄	—	2	2	no	—
441	Dic₄₃⋊C₄	—	2	2	no	—
442	Dic₄₃⋊C₄	—	2	2	no	—
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	C₄×Dic₄₃	—	2	2	no	—
448	C₄×Dic₄₃	—	2	2	no	—
449	C₄×Dic₄₃	—	2	2	no	—
450	C₄×Dic₄₃	—	2	2	no	—
451	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
452	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
453	C₄×Dic₄₃	C₂⁴	1	2	yes	—
454	C₄×Dic₄₃	C₂⁴	1	2	yes	—
455	#10621877	—	2	2	no	—
456	#10621877	—	2	4	no	—
457	#10621877	#41	1	4	yes	complemented
458	C₂×C₄₃⋊C₈	—	2	4	no	—
459	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
460	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
461	#10621873	—	2	4	no	—
462	#10621873	—	2	4	no	—
463	C₂³×C₄₃	—	2	2	no	—
464	C₂³×C₄₃	—	2	2	no	—
465	C₂³×C₄₃	—	2	1	no	—
466	C₂³×C₄₃	—	2	1	no	—
467	C₂³×C₄₃	—	4	1	no	—
468	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
469	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
470	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
471	C₂²×D₄₃	—	2	2	no	—
472	C₂²×D₄₃	—	4	2	no	—
473	C₂²×D₄₃	—	8	1	no	—
474	C₂²×D₄₃	—	8	1	no	—
475	Q₈×C₄₃	—	2	1	no	—
476	Q₈×C₄₃	—	2	1	no	—
477	Q₈×C₄₃	—	2	1	no	—
478	Q₈×C₄₃	—	2	1	no	—
479	D₄×C₄₃	—	2	1	no	—
480	D₄×C₄₃	—	2	1	no	—
481	D₄×C₄₃	—	2	1	no	—
482	D₄×C₄₃	—	2	1	no	—
483	D₄×C₄₃	—	4	2	no	—
484	D₄×C₄₃	—	4	2	no	—
485	D₄×C₄₃	—	4	2	no	—
486	D₄×C₄₃	—	4	2	no	—
487	D₄×C₄₃	—	8	1	no	—
488	D₄×C₄₃	—	8	1	no	—
489	C₂×C₄×C₄₃	—	2	2	no	—
490	C₂×C₄×C₄₃	—	2	2	no	—
491	C₂×C₄×C₄₃	—	2	2	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	—	2	1	no	—
500	C₂×C₄×C₄₃	—	2	1	no	—
501	C₂×C₄×C₄₃	—	2	1	no	—
502	C₂×C₄×C₄₃	—	4	2	no	—
503	C₂×C₄×C₄₃	—	4	2	no	—
504	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
505	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
506	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
507	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
508	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
509	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
510	C₂²⋊D₄₃	—	4	4	no	—
511	C₂²⋊D₄₃	—	8	2	no	—
512	C₂²⋊D₄₃	—	8	2	no	—
513	C₂²⋊D₄₃	—	8	2	no	—
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	—	4	2	no	—
519	C₂×Dic₄₃	—	4	2	no	—
520	C₂×Dic₄₃	—	8	2	no	—
521	C₂×Dic₄₃	—	8	2	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	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
527	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
528	D₁₇₂	—	2	2	no	—
529	D₁₇₂	—	2	2	no	—
530	D₁₇₂	—	4	2	no	—
531	C₄×D₄₃	—	8	2	no	—
532	C₄×D₄₃	—	8	2	no	—
533	Dic₈₆	—	2	2	no	—
534	Dic₈₆	—	2	2	no	—
535	Dic₈₆	—	4	2	no	—
536	Dic₈₆	—	8	2	no	—
537	Dic₈₆	—	8	2	no	—
538	C₈×C₄₃	—	2	1	no	—
539	C₈×C₄₃	—	2	1	no	—
540	C₈×C₄₃	C₂×#41	1	2	yes	—
541	C₈×C₄₃	C₂×#41	1	2	yes	—
542	C₄₃⋊C₈	—	2	2	no	—
543	C₄₃⋊C₈	C₂×#41	1	4	yes	—
544	#60706	—	43	1	no	maximal, Sylow
545	C₂²×C₄₃	—	2	1	no	—
546	C₂²×C₄₃	—	2	1	no	—
547	C₂²×C₄₃	—	2	1	no	—
548	C₂²×C₄₃	—	2	1	no	—
549	C₂²×C₄₃	—	2	1	no	—
550	C₂²×C₄₃	—	2	1	no	—
551	C₂²×C₄₃	—	2	1	no	—
552	C₂²×C₄₃	—	4	4	no	—
553	C₂²×C₄₃	—	4	1	no	—
554	C₂²×C₄₃	—	4	1	no	—
555	C₂²×C₄₃	—	4	1	no	—
556	C₂²×C₄₃	—	4	1	no	—
557	C₂²×C₄₃	—	4	1	no	—
558	C₂²×C₄₃	—	4	1	no	—
559	C₂²×C₄₃	#532	1	2	yes	—
560	C₂²×C₄₃	#577	1	2	yes	—
561	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
562	C₂×D₄₃	—	4	2	no	—
563	C₂×D₄₃	—	4	2	no	—
564	C₂×D₄₃	—	4	2	no	—
565	C₂×D₄₃	—	16	2	no	—
566	C₄×C₄₃	—	2	1	no	—
567	C₄×C₄₃	—	2	1	no	—
568	C₄×C₄₃	—	4	1	no	—
569	C₄×C₄₃	—	4	1	no	—
570	C₄×C₄₃	—	4	1	no	—
571	C₄×C₄₃	—	4	1	no	—
572	C₄×C₄₃	—	4	1	no	—
573	C₄×C₄₃	—	4	1	no	—
574	C₄×C₄₃	#532	1	2	yes	—
575	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
576	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
577	Dic₄₃	—	2	2	no	—
578	Dic₄₃	—	2	2	no	—
579	Dic₄₃	—	2	2	no	—
580	Dic₄₃	—	2	2	no	—
581	Dic₄₃	—	4	2	no	—
582	Dic₄₃	—	4	2	no	—
583	Dic₄₃	—	4	2	no	—
584	#3495	—	43	1	no	—
585	#3494	—	43	1	no	—
586	#3181	—	43	2	no	—
587	#3180	—	43	2	no	—
588	#3179	—	43	2	no	—
589	#3178	—	43	2	no	—
590	#3174	—	43	2	no	—
591	#3173	—	43	2	no	—
592	#3168	—	43	2	no	—
593	#3167	—	43	2	no	—
594	#3163	—	43	1	no	—
595	#3154	—	43	1	no	—
596	#3137	—	43	1	no	—
597	#3136	—	43	1	no	—
598	#3056	—	43	1	no	—
599	#3055	—	43	1	no	—
600	#3050	D₄₃	1	1	yes	characteristic, complemented
601	C₂×#465	—	43	1	no	—
602	#2952	—	43	1	no	—
603	#2949	—	43	1	no	—
604	#2947	—	43	1	no	—
605	#2946	—	43	1	no	—
606	C₂×#405	—	43	1	no	—
607	C₂×C₄₃	—	2	2	no	—
608	C₂×C₄₃	—	2	2	no	—
609	C₂×C₄₃	—	4	1	no	—
610	C₂×C₄₃	—	8	1	no	—
611	C₂×C₄₃	—	8	1	no	—
612	C₂×C₄₃	C₂×#532	1	1	yes	characteristic
613	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
614	C₂×C₄₃	#3584	1	1	yes	characteristic
615	D₄₃	—	8	2	no	—
616	C₂×#137	—	43	1	no	—
617	C₂×AGL(1,ℤ/8)	—	43	1	no	—
618	C₂×#135	C₂×D₄₃	1	1	yes	characteristic
619	C₂²×SD₁₆	—	43	1	no	—
620	C₂²×M₁₆	—	43	1	no	—
621	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
622	#556	—	86	1	no	—
623	#555	—	86	1	no	—
624	#554	—	86	1	no	—
625	#553	—	86	1	no	—
626	#553	—	86	1	no	—
627	#552	—	86	1	no	—
628	#552	—	86	1	no	—
629	#552	—	86	2	no	—
630	#551	—	86	2	no	—
631	#551	—	86	2	no	—
632	#547	—	86	1	no	—
633	#546	—	86	2	no	—
634	#544	—	43	1	no	—
635	#544	—	43	1	no	—
636	#542	—	43	2	no	—
637	#542	—	43	2	no	—
638	#541	—	43	2	no	—
639	#540	—	43	2	no	—
640	#536	—	43	1	no	—
641	#535	—	43	1	no	—
642	#533	—	43	2	no	—
643	#532	—	43	2	no	—
644	#529	—	43	2	no	—
645	#529	—	43	2	no	—
646	#525	C₂×D₄₃	1	1	yes	characteristic
647	#525	C₂×D₄₃	1	1	yes	characteristic
648	C₂×C₂²⋊Q₈	—	43	1	no	—
649	C₂×#121	—	43	1	no	—
650	#520	—	43	1	no	—
651	#520	—	43	1	no	—
652	#519	—	43	1	no	—
653	#518	—	43	1	no	—
654	C₂×#117	—	43	1	no	—
655	#501	—	43	2	no	—
656	#501	—	43	2	no	—
657	#499	—	43	2	no	—
658	#498	—	43	2	no	—
659	#497	—	43	2	no	—
660	#496	—	43	2	no	—
661	#495	—	43	2	no	—
662	#492	—	43	2	no	—
663	#491	—	43	2	no	—
664	#490	—	43	2	no	—
665	#489	—	43	2	no	—
666	#489	—	43	2	no	—
667	#488	—	43	2	no	—
668	#488	—	43	2	no	—
669	#487	—	43	2	no	—
670	#486	—	43	2	no	—
671	#470	—	43	2	no	—
672	#469	—	43	2	no	—
673	#468	—	43	2	no	—
674	#468	—	43	2	no	—
675	#467	—	43	2	no	—
676	#467	C₂×D₄₃	1	1	yes	characteristic, complemented
677	#467	C₂×D₄₃	1	1	yes	characteristic, complemented
678	#466	—	43	2	no	—
679	#466	C₂×D₄₃	1	1	yes	characteristic, complemented
680	#466	C₂×D₄₃	1	1	yes	characteristic, complemented
681	#465	—	43	2	no	—
682	#465	—	43	2	no	—
683	#465	—	43	2	no	—
684	#465	—	43	2	no	—
685	#465	—	43	2	no	—
686	#465	—	43	2	no	—
687	#465	C₂×D₄₃	1	1	yes	characteristic, complemented
688	#465	C₂×D₄₃	1	1	yes	characteristic, complemented
689	#465	C₂×D₄₃	1	1	yes	characteristic, complemented
690	#465	C₂×D₄₃	1	1	yes	characteristic, complemented
691	#442	—	43	2	no	—
692	#442	—	43	2	no	—
693	#441	—	43	2	no	—
694	#441	—	43	2	no	—
695	#440	—	43	2	no	—
696	#440	—	43	2	no	—
697	#440	—	43	2	no	—
698	#440	—	43	2	no	—
699	C₄×Q₁₆	—	43	2	no	—
700	C₄×SD₁₆	—	43	2	no	—
701	C₄×SD₁₆	—	43	2	no	—
702	C₄×SD₁₆	—	43	2	no	—
703	C₄×SD₁₆	—	43	2	no	—
704	C₄×SD₁₆	—	43	2	no	—
705	C₄×SD₁₆	—	43	2	no	—
706	C₄×D₈	—	43	2	no	—
707	#428	—	43	1	no	—
708	#428	—	43	1	no	—
709	#427	C₂×D₄₃	1	1	yes	characteristic
710	C₂×#106	—	43	1	no	—
711	#419	—	43	1	no	—
712	#418	—	43	1	no	—
713	#417	—	43	1	no	—
714	#417	—	43	1	no	—
715	#416	C₂×D₄₃	1	1	yes	characteristic
716	#416	C₂×D₄₃	1	1	yes	characteristic
717	C₂×#103	—	43	1	no	—
718	C₂×#102	—	43	1	no	—
719	#405	—	43	1	no	—
720	#405	—	43	1	no	—
721	#405	—	43	1	no	—
722	#405	—	43	1	no	—
723	#405	—	43	2	no	—
724	#405	—	43	2	no	—
725	C₂×#97	—	43	2	no	—
726	C₂×C₄×C₈	—	43	2	no	—
727	C₄₃	#60706	1	1	yes	characteristic, complemented, Sylow
728	C₂×#41	—	86	2	no	—
729	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
730	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
731	C₂²×Q₈	—	43	1	no	—
732	C₂²×D₄	—	43	1	no	—
733	C₂²×D₄	—	86	1	no	—
734	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
735	#137	—	86	4	no	—
736	AGL(1,ℤ/8)	—	86	4	no	—
737	#135	—	2	4	no	—
738	C₂×Q₁₆	—	43	2	no	—
739	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
740	C₂×SD₁₆	—	43	2	no	—
741	C₂×SD₁₆	—	43	2	no	—
742	C₂×SD₁₆	—	43	2	no	—
743	C₂×SD₁₆	—	43	2	no	—
744	C₂×SD₁₆	—	86	4	no	—
745	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
746	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
747	C₂×D₈	—	43	2	no	—
748	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
749	C₂×M₁₆	—	43	1	no	—
750	C₂×M₁₆	—	43	1	no	—
751	C₂×M₁₆	—	43	2	no	—
752	C₂×M₁₆	—	86	4	no	—
753	C₂²×C₈	—	2	4	no	—
754	C₂²×C₈	—	43	2	no	—
755	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
756	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
757	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
758	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
759	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
760	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
761	C₄⋊Q₈	—	43	2	no	—
762	C₄⋊Q₈	—	43	2	no	—
763	C₄⋊Q₈	—	43	2	no	—
764	C₄⋊Q₈	—	86	1	no	—
765	C₄⋊Q₈	—	86	1	no	—
766	#127	—	43	2	no	—
767	#126	—	86	2	no	—
768	#126	—	86	2	no	—
769	#126	—	86	2	no	—
770	#126	—	86	2	no	—
771	#126	—	86	2	no	—
772	#126	—	86	2	no	—
773	#125	—	43	2	no	—
774	#125	—	43	2	no	—
775	#125	—	86	1	no	—
776	#125	—	86	1	no	—
777	#125	—	86	2	no	—
778	#125	—	86	2	no	—
779	#125	—	86	2	no	—
780	#124	—	43	2	no	—
781	#124	—	43	2	no	—
782	#124	—	86	2	no	—
783	#124	—	86	2	no	—
784	#124	—	86	2	no	—
785	#123	—	2	1	no	—
786	#123	—	2	1	no	—
787	#123	—	86	2	no	—
788	#123	—	86	2	no	—
789	#123	—	86	2	no	—
790	#123	—	86	2	no	—
791	#123	—	86	2	no	—
792	#123	—	86	2	no	—
793	#123	—	86	2	no	—
794	C₂²⋊Q₈	—	43	2	no	—
795	C₂²⋊Q₈	—	43	2	no	—
796	C₂²⋊Q₈	—	86	2	no	—
797	C₂²⋊Q₈	—	86	2	no	—
798	C₂²⋊Q₈	—	86	2	no	—
799	C₂²⋊Q₈	—	86	2	no	—
800	C₂²⋊Q₈	—	86	2	no	—
801	C₂²⋊Q₈	—	86	1	no	—
802	C₂²⋊Q₈	—	86	1	no	—
803	C₂²⋊Q₈	—	86	1	no	—
804	C₂²⋊Q₈	—	86	1	no	—
805	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
806	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
807	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
808	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
809	#121	—	43	2	no	—
810	#121	—	43	2	no	—
811	#121	—	86	2	no	—
812	#121	—	86	2	no	—
813	#121	—	86	1	no	—
814	#121	—	86	1	no	—
815	#121	—	86	2	no	—
816	#121	—	86	1	no	—
817	#121	—	86	1	no	—
818	#121	C₂²×D₄₃	1	1	yes	characteristic
819	#121	C₂²×D₄₃	1	1	yes	characteristic
820	#121	C₂²×D₄₃	1	1	yes	characteristic
821	#121	C₂²×D₄₃	1	1	yes	characteristic
822	#120	—	2	1	no	—
823	#120	—	2	1	no	—
824	#120	—	86	2	no	—
825	C₄×Q₈	—	43	2	no	—
826	C₄×Q₈	—	43	2	no	—
827	C₄×Q₈	—	43	2	no	—
828	C₄×Q₈	—	43	2	no	—
829	C₄×Q₈	—	86	1	no	—
830	C₄×Q₈	—	86	1	no	—
831	C₄×Q₈	—	86	2	no	—
832	C₄×D₄	—	2	1	no	—
833	C₄×D₄	—	2	1	no	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	43	2	no	—
837	C₄×D₄	—	43	2	no	—
838	C₄×D₄	—	43	2	no	—
839	C₄×D₄	—	43	2	no	—
840	C₄×D₄	—	86	1	no	—
841	C₄×D₄	—	86	1	no	—
842	C₄×D₄	—	86	2	no	—
843	C₄×D₄	—	86	2	no	—
844	C₄×D₄	—	86	2	no	—
845	C₄×D₄	—	86	2	no	—
846	C₄×D₄	—	86	2	no	—
847	#117	—	43	2	no	—
848	#117	—	43	1	no	—
849	#117	—	43	1	no	—
850	#117	—	43	1	no	—
851	#117	—	43	1	no	—
852	#117	—	43	2	no	—
853	#117	—	86	2	no	—
854	#117	—	86	2	no	—
855	#117	—	86	2	no	—
856	#117	—	86	2	no	—
857	#117	—	86	1	no	—
858	#117	—	86	1	no	—
859	#117	C₂²×D₄₃	1	1	yes	characteristic
860	#117	C₂²×D₄₃	1	1	yes	characteristic
861	C₂×C₄⋊C₄	—	43	1	no	—
862	C₂×C₄⋊C₄	—	43	1	no	—
863	C₂×C₄⋊C₄	—	43	1	no	—
864	C₂×C₄⋊C₄	—	43	1	no	—
865	C₂×C₄⋊C₄	—	86	1	no	—
866	C₂×C₄⋊C₄	—	86	1	no	—
867	C₂×C₄⋊C₄	—	86	1	no	—
868	C₂×C₂²⋊C₄	—	43	2	no	—
869	C₂×C₂²⋊C₄	—	86	2	no	—
870	C₂×C₂²⋊C₄	—	86	1	no	—
871	C₂×C₂²⋊C₄	—	86	1	no	—
872	C₂×C₄²	—	43	2	no	—
873	#107	—	43	2	no	—
874	#107	—	43	2	no	—
875	#107	C₂²×D₄₃	1	1	yes	characteristic
876	#107	C₂²×D₄₃	1	1	yes	characteristic
877	#106	—	43	2	no	—
878	#106	—	43	2	no	—
879	#106	—	43	2	no	—
880	#106	—	43	2	no	—
881	#106	C₂²×D₄₃	1	1	yes	characteristic
882	#106	C₂²×D₄₃	1	1	yes	characteristic
883	#103	—	43	2	no	—
884	#103	—	43	2	no	—
885	#103	—	43	2	no	—
886	#103	—	43	2	no	—
887	#103	—	43	2	no	—
888	#103	—	43	2	no	—
889	#103	C₂²×D₄₃	1	1	yes	characteristic
890	#103	C₂²×D₄₃	1	1	yes	characteristic
891	#103	C₂²×D₄₃	1	1	yes	characteristic
892	#103	C₂²×D₄₃	1	1	yes	characteristic
893	#102	—	43	2	no	—
894	#102	—	43	2	no	—
895	#102	—	43	2	no	—
896	#102	—	43	2	no	—
897	#102	—	43	2	no	—
898	#102	—	43	2	no	—
899	#102	C₂²×D₄₃	1	1	yes	characteristic
900	#102	C₂²×D₄₃	1	1	yes	characteristic
901	#102	C₂²×D₄₃	1	1	yes	characteristic
902	#102	C₂²×D₄₃	1	1	yes	characteristic
903	#97	—	43	2	no	—
904	#97	—	43	2	no	—
905	#97	—	43	2	no	—
906	#97	—	43	2	no	—
907	C₄×C₈	—	43	2	no	—
908	C₄×C₈	—	43	2	no	—
909	C₄×C₈	—	43	2	no	—
910	C₄×C₈	—	43	2	no	—
911	C₂⁴	—	86	1	no	—
912	C₂⁴	D₄×D₄₃	1	1	yes	characteristic
913	#41	—	2	2	no	—
914	#41	—	2	2	no	—
915	#41	—	2	2	no	—
916	#41	—	2	2	no	—
917	#41	—	344	4	no	—
918	C₂×Q₈	—	43	2	no	—
919	C₂×Q₈	—	86	2	no	—
920	C₂×Q₈	—	86	2	no	—
921	C₂×Q₈	—	86	1	no	—
922	C₂×Q₈	—	86	2	no	—
923	C₂×Q₈	—	86	2	no	—
924	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
925	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	1	no	—
930	C₂×D₄	—	2	1	no	—
931	C₂×D₄	—	2	1	no	—
932	C₂×D₄	—	43	2	no	—
933	C₂×D₄	—	86	2	no	—
934	C₂×D₄	—	86	2	no	—
935	C₂×D₄	—	86	2	no	—
936	C₂×D₄	—	86	2	no	—
937	C₂×D₄	—	86	1	no	—
938	C₂×D₄	—	86	2	no	—
939	C₂×D₄	—	86	2	no	—
940	C₂×D₄	—	344	2	no	—
941	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
942	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	43	2	no	—
948	C₂²×C₄	—	43	2	no	—
949	C₂²×C₄	—	86	2	no	—
950	C₂²×C₄	—	86	2	no	—
951	C₂²×C₄	—	86	2	no	—
952	C₂²×C₄	—	86	2	no	—
953	C₂²×C₄	—	86	1	no	—
954	C₂²×C₄	—	86	1	no	—
955	C₂²×C₄	—	86	1	no	—
956	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
957	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
958	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
959	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
960	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
961	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
962	Q₁₆	—	2	2	no	—
963	Q₁₆	—	86	4	no	—
964	SD₁₆	—	2	2	no	—
965	SD₁₆	—	2	2	no	—
966	SD₁₆	—	86	4	no	—
967	SD₁₆	—	86	4	no	—
968	SD₁₆	—	86	4	no	—
969	SD₁₆	—	86	4	no	—
970	D₈	—	2	2	no	—
971	D₈	—	86	4	no	—
972	M₁₆	—	43	4	no	—
973	M₁₆	—	86	4	no	—
974	M₁₆	—	86	2	no	—
975	C₂×C₈	—	2	2	no	—
976	C₂×C₈	—	2	2	no	—
977	C₂×C₈	—	2	2	no	—
978	C₂×C₈	—	2	2	no	—
979	C₂×C₈	—	2	2	no	—
980	C₂×C₈	—	43	2	no	—
981	C₂×C₈	—	43	2	no	—
982	C₂×C₈	—	86	4	no	—
983	C₂×C₈	#10621900	1	4	yes	complemented
984	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
985	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
986	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
987	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	1	no	—
992	C₄⋊C₄	—	43	1	no	—
993	C₄⋊C₄	—	43	1	no	—
994	C₄⋊C₄	—	43	1	no	—
995	C₄⋊C₄	—	43	1	no	—
996	C₄⋊C₄	—	43	2	no	—
997	C₄⋊C₄	—	43	2	no	—
998	C₄⋊C₄	—	43	2	no	—
999	C₄⋊C₄	—	43	2	no	—
1000	C₄⋊C₄	—	86	2	no	—
1001	C₄⋊C₄	—	86	2	no	—
1002	C₄⋊C₄	—	86	2	no	—
1003	C₄⋊C₄	—	86	2	no	—
1004	C₄⋊C₄	—	86	2	no	—
1005	C₄⋊C₄	—	86	2	no	—
1006	C₄⋊C₄	—	86	2	no	—
1007	C₄⋊C₄	—	86	2	no	—
1008	C₄⋊C₄	—	86	2	no	—
1009	C₄⋊C₄	—	86	2	no	—
1010	C₄⋊C₄	—	86	2	no	—
1011	C₄⋊C₄	—	86	2	no	—
1012	C₄⋊C₄	—	86	1	no	—
1013	C₄⋊C₄	—	86	1	no	—
1014	C₄⋊C₄	—	86	2	no	—
1015	C₄⋊C₄	—	86	2	no	—
1016	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1017	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1018	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1019	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	1	no	—
1022	C₂²⋊C₄	—	2	1	no	—
1023	C₂²⋊C₄	—	2	1	no	—
1024	C₂²⋊C₄	—	2	1	no	—
1025	C₂²⋊C₄	—	2	1	no	—
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	1	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	—	2	1	no	—
1030	C₂²⋊C₄	—	43	2	no	—
1031	C₂²⋊C₄	—	43	2	no	—
1032	C₂²⋊C₄	—	43	2	no	—
1033	C₂²⋊C₄	—	43	2	no	—
1034	C₂²⋊C₄	—	86	2	no	—
1035	C₂²⋊C₄	—	86	2	no	—
1036	C₂²⋊C₄	—	86	2	no	—
1037	C₂²⋊C₄	—	86	2	no	—
1038	C₂²⋊C₄	—	86	2	no	—
1039	C₂²⋊C₄	—	86	2	no	—
1040	C₂²⋊C₄	—	86	2	no	—
1041	C₂²⋊C₄	—	86	2	no	—
1042	C₂²⋊C₄	—	86	2	no	—
1043	C₂²⋊C₄	—	86	2	no	—
1044	C₂²⋊C₄	—	86	2	no	—
1045	C₂²⋊C₄	—	86	2	no	—
1046	C₄²	—	2	1	no	—
1047	C₄²	—	2	1	no	—
1048	C₄²	—	43	2	no	—
1049	C₄²	—	43	2	no	—
1050	C₄²	—	43	2	no	—
1051	C₄²	—	43	2	no	—
1052	C₄²	—	86	2	no	—
1053	C₄²	—	86	2	no	—
1054	C₄²	—	86	2	no	—
1055	C₄²	—	86	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	1	no	—
1060	C₂³	—	4	1	no	—
1061	C₂³	—	86	2	no	—
1062	C₂³	—	344	1	no	—
1063	C₂³	—	344	1	no	—
1064	C₂³	—	172	2	no	—
1065	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1066	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1067	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1068	Q₈	—	2	1	no	—
1069	Q₈	—	2	1	no	—
1070	Q₈	—	2	1	no	—
1071	Q₈	—	2	1	no	—
1072	Q₈	—	86	2	no	—
1073	Q₈	—	86	2	no	—
1074	Q₈	—	344	2	no	—
1075	Q₈	—	344	2	no	—
1076	Q₈	—	172	2	no	—
1077	D₄	—	2	1	no	—
1078	D₄	—	2	1	no	—
1079	D₄	—	2	1	no	—
1080	D₄	—	2	1	no	—
1081	D₄	—	4	2	no	—
1082	D₄	—	4	2	no	—
1083	D₄	—	4	2	no	—
1084	D₄	—	4	2	no	—
1085	D₄	—	8	1	no	—
1086	D₄	—	8	1	no	—
1087	D₄	—	86	2	no	—
1088	D₄	—	86	2	no	—
1089	D₄	—	344	2	no	—
1090	D₄	—	344	2	no	—
1091	D₄	—	344	2	no	—
1092	D₄	—	172	4	no	—
1093	D₄	—	172	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	4	2	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	43	2	no	—
1110	C₂×C₄	—	43	2	no	—
1111	C₂×C₄	—	43	2	no	—
1112	C₂×C₄	—	43	2	no	—
1113	C₂×C₄	—	86	4	no	—
1114	C₂×C₄	—	86	2	no	—
1115	C₂×C₄	—	86	2	no	—
1116	C₂×C₄	—	86	2	no	—
1117	C₂×C₄	—	344	2	no	—
1118	C₂×C₄	—	344	2	no	—
1119	C₂×C₄	—	344	2	no	—
1120	C₂×C₄	—	344	2	no	—
1121	C₂×C₄	—	344	1	no	—
1122	C₂×C₄	—	344	1	no	—
1123	C₂×C₄	—	172	2	no	—
1124	C₂×C₄	—	172	2	no	—
1125	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1126	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1127	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1128	C₂×C₄	#41×D₄₃	1	2	yes	—
1129	C₂×C₄	C₂×#10621900	1	2	yes	—
1130	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1131	C₈	—	2	1	no	—
1132	C₈	—	2	1	no	—
1133	C₈	—	43	4	no	—
1134	C₈	—	86	2	no	—
1135	C₈	C₂×#10621900	1	2	yes	—
1136	C₈	C₂×#10621900	1	2	yes	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	1	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	4	4	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	1	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	1	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	172	2	no	—
1152	C₂²	—	172	2	no	—
1153	C₂²	—	172	2	no	—
1154	C₂²	—	688	2	no	—
1155	C₂²	#14583444	1	2	yes	—
1156	C₂²	#14583706	1	2	yes	—
1157	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1158	C₄	—	2	1	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	4	1	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	1	no	—
1163	C₄	—	4	1	no	—
1164	C₄	—	4	1	no	—
1165	C₄	—	4	1	no	—
1166	C₄	—	86	2	no	—
1167	C₄	—	86	2	no	—
1168	C₄	—	86	2	no	—
1169	C₄	—	86	2	no	—
1170	C₄	—	172	2	no	—
1171	C₄	—	172	2	no	—
1172	C₄	—	172	2	no	—
1173	C₄	#14583444	1	2	yes	—
1174	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1175	C₄	C₂²×#10621900	1	1	yes	characteristic
1176	C₂	—	2	2	no	—
1177	C₂	—	2	2	no	—
1178	C₂	—	4	1	no	—
1179	C₂	—	8	1	no	—
1180	C₂	—	8	1	no	—
1181	C₂	—	344	2	no	—
1182	C₂	C₂×#14583444	1	1	yes	characteristic
1183	C₂	C₂×#14583706	1	1	yes	characteristic
1184	C₂	#19149364	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×#3050	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3050	D₄₃
hypocenter	C₄₃	#60706
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3050

Complements

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

N	H ≅ G/N	type
1. #19148349	C₂	semidirect
2. #19148332	C₂	semidirect
3. #19145299	C₂	semidirect
4. #19145288	C₂	semidirect
5. #19145281	C₂	semidirect
6. #19145266	C₂	semidirect
7. #19145216	C₂	semidirect
8. #19145205	C₂	semidirect
9. #19145158	C₂	semidirect
10. #19145149	C₂	semidirect
11. #19145127	C₂	semidirect
12. #19145072	C₂	semidirect
13. #19144964	C₂	semidirect
14. #19144953	C₂	semidirect
15. #19144227	C₂	semidirect
16. #19144216	C₂	semidirect
17. C₂×#14583128	C₂	semidirect
18. #19143479	C₂	semidirect
19. #19143453	C₂	semidirect
20. #19143441	C₂	semidirect
21. #19143430	C₂	semidirect
22. C₂×#14582854	C₂	semidirect
23. C₄₃×#3050	C₂	semidirect
43. #14583516	C₂²	semidirect
44. #14583509	C₂²	semidirect
48. #14583451	C₂²	semidirect
51. #14583430	C₂²	semidirect
59. #14583307	C₂²	semidirect
60. #14583307	C₂²	semidirect
61. #14583299	C₂²	semidirect
62. #14583296	C₂²	semidirect
63. #14583292	C₂²	semidirect
64. #14583287	C₂²	semidirect
65. #14583280	C₂²	semidirect
66. #14583270	C₂²	semidirect
67. #14583266	C₂²	semidirect
68. #14583262	C₂²	semidirect
69. #14583260	C₂²	semidirect
70. #14583257	C₂²	semidirect
71. #14583255	C₂²	semidirect
72. #14583252	C₂²	semidirect
73. #14583248	C₂²	semidirect
74. #14583244	C₂²	semidirect
75. #14583155	C₂²	semidirect
78. #14583143	C₂²	semidirect
79. #14583138	C₂²	semidirect
86. #14583126	C₂²	semidirect
87. #14583011	C₂²	semidirect
88. #14583008	C₂²	semidirect
89. #14583006	C₂²	semidirect
90. #14583003	C₂²	semidirect
91. #14583002	C₂²	semidirect
92. #14582998	C₂²	semidirect
93. #14582998	C₂²	semidirect
94. #14582996	C₂²	semidirect
95. #14582991	C₂²	semidirect
96. #14582990	C₂²	semidirect
97. SD₁₆×Dic₄₃	C₂²	semidirect
98. SD₁₆×Dic₄₃	C₂²	semidirect
99. #14582986	C₂²	semidirect
100. #14582986	C₂²	semidirect
101. #14582984	C₂²	semidirect
102. #14582979	C₂²	semidirect
116. #14582854	C₂²	semidirect
117. #14582854	C₂²	semidirect
118. C₂×#13063235	C₂²	semidirect
119. C₂×C₈×Dic₄₃	C₂²	semidirect
124. C₄₃×#467	C₂²	semidirect
125. C₄₃×#467	C₂²	semidirect
126. C₄₃×#466	C₂²	semidirect
127. C₄₃×#466	C₂²	semidirect
128. C₄₃×#465	C₂²	semidirect
129. C₄₃×#465	C₂²	semidirect
130. C₄₃×#465	C₂²	semidirect
131. C₄₃×#465	C₂²	semidirect
378. C₂×C₈×C₄₃	#41	semidirect
457. #10621877	#41	semidirect
600. #3050	D₄₃	semidirect
676. #467	C₂×D₄₃	semidirect
677. #467	C₂×D₄₃	semidirect
679. #466	C₂×D₄₃	semidirect
680. #466	C₂×D₄₃	semidirect
687. #465	C₂×D₄₃	semidirect
688. #465	C₂×D₄₃	semidirect
689. #465	C₂×D₄₃	semidirect
690. #465	C₂×D₄₃	semidirect
727. C₄₃	#60706	semidirect
983. C₂×C₈	#10621900	semidirect

Maximal subgroups

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

subgroup	index
#19148349	2
#19148332	2
#19145299	2
#19145288	2
#19145281	2
#19145266	2
#19145216	2
#19145205	2
#19145158	2
#19145149	2
#19145127	2
#19145072	2
#19144964	2
#19144953	2
#19144227	2
#19144216	2
C₂×#14583128	2
#19143479	2
#19143453	2
#19143441	2
#19143430	2
C₂×#14582854	2
C₄₃×#3050	2
#60706	43