Subgroups — #25975940

Order 11008.

1760 conjugacy classes of subgroups.

The subgroup lattice has 1110 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148517	C₂	1	1	yes	maximal, characteristic
2	#19148462	C₂	1	1	yes	maximal, characteristic, complemented
3	#19147167	C₂	1	2	yes	maximal, complemented
4	#19147162	C₂	1	2	yes	maximal, complemented
5	#19147147	C₂	1	2	yes	maximal, complemented
6	#19147122	C₂	1	2	yes	maximal, complemented
7	#19147077	C₂	1	2	yes	maximal, complemented
8	#19147047	C₂	1	2	yes	maximal, complemented
9	#19146981	C₂	1	2	yes	maximal, complemented
10	#19146960	C₂	1	2	yes	maximal, complemented
11	#19145148	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144582	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144571	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144567	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144567	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583207	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144289	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144289	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063355	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143338	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143192	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143187	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063355	C₂²	1	1	yes	characteristic
25	C₂×#13063331	C₂²	1	1	yes	characteristic
26	C₂×#13063331	C₂²	1	1	yes	characteristic
27	#14583634	—	2	1	no	—
28	#14583628	—	2	1	no	—
29	#14583623	C₂²	1	2	yes	—
30	#14583622	—	2	1	no	—
31	#14583622	—	2	1	no	—
32	#14583610	C₂²	1	2	yes	—
33	#14583599	C₂²	1	2	yes	—
34	#14583599	C₂²	1	2	yes	—
35	#14583598	—	2	2	no	—
36	#14583598	—	2	2	no	—
37	#14583590	C₂²	1	2	yes	—
38	#14583590	C₂²	1	2	yes	—
39	#14583587	C₂²	1	2	yes	—
40	#14583587	C₂²	1	2	yes	—
41	#14583511	—	2	1	no	—
42	#14583504	—	2	1	no	—
43	#14583498	—	2	2	no	—
44	#14583477	C₂²	1	1	yes	characteristic
45	#14583477	C₂²	1	1	yes	characteristic
46	#14583475	C₂²	1	1	yes	characteristic
47	#14583475	C₂²	1	1	yes	characteristic
48	#14583449	C₂²	1	1	yes	characteristic
49	#14583435	—	2	2	no	—
50	#14583433	—	2	1	no	—
51	#14583433	—	2	1	no	—
52	C₂×#13063317	C₂²	1	1	yes	characteristic
53	#14583379	C₂²	1	1	yes	characteristic
54	#14583379	C₂²	1	1	yes	characteristic
55	#14583379	C₂²	1	1	yes	characteristic
56	#14583379	C₂²	1	1	yes	characteristic
57	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
58	#14583305	C₂²	1	2	yes	—
59	#14583305	C₂²	1	2	yes	—
60	#14583298	C₂²	1	2	yes	—
61	#14583298	C₂²	1	2	yes	—
62	#14583243	C₂²	1	2	yes	—
63	#14583243	C₂²	1	2	yes	—
64	#14583242	C₂²	1	2	yes	—
65	#14583242	C₂²	1	2	yes	—
66	#14583239	C₂²	1	2	yes	—
67	#14583238	C₂²	1	2	yes	—
68	#14583236	C₂²	1	2	yes	—
69	#14583236	C₂²	1	2	yes	—
70	#14583233	C₂²	1	2	yes	—
71	#14583231	C₂²	1	2	yes	—
72	#14583231	C₂²	1	2	yes	—
73	#14583228	C₂²	1	2	yes	—
74	#14583222	C₂²	1	2	yes	—
75	#14583221	C₂²	1	2	yes	—
76	#14583216	C₂²	1	2	yes	—
77	#14583211	C₂²	1	2	yes	—
78	#14583207	C₂²	1	2	yes	—
79	#14583207	C₂²	1	2	yes	—
80	#14583207	C₂²	1	2	yes	—
81	#14583207	C₂²	1	2	yes	—
82	#14583156	C₂²	1	2	yes	—
83	#14583156	C₂²	1	2	yes	—
84	#14583144	C₂²	1	2	yes	—
85	#14583144	C₂²	1	2	yes	—
86	#14583139	C₂²	1	2	yes	—
87	#14583139	C₂²	1	2	yes	—
88	#14583127	C₂²	1	2	yes	—
89	#14583127	C₂²	1	2	yes	—
90	#14583004	C₂²	1	2	yes	—
91	#14582999	C₂²	1	2	yes	—
92	C₄×#10621885	C₂²	1	2	yes	—
93	C₄×#10621883	C₂²	1	2	yes	—
94	#14582976	C₂²	1	2	yes	—
95	#14582969	C₂²	1	2	yes	—
96	#14582969	C₂²	1	2	yes	—
97	#14582964	C₂²	1	2	yes	—
98	#14582942	C₂²	1	1	yes	characteristic
99	#14582942	C₂²	1	1	yes	characteristic
100	#14582942	C₂²	1	1	yes	characteristic
101	#14582942	C₂²	1	1	yes	characteristic
102	#14582942	C₂²	1	1	yes	characteristic
103	#14582940	C₂²	1	2	yes	—
104	#14582940	C₂²	1	2	yes	—
105	#14582938	C₂²	1	2	yes	—
106	#14582938	C₂²	1	2	yes	—
107	#14582936	C₂²	1	2	yes	—
108	#14582934	C₂²	1	2	yes	—
109	C₂×#13063259	C₂²	1	1	yes	characteristic
110	#107×D₄₃	C₂²	1	2	yes	—
111	C₂×#13063257	C₂²	1	1	yes	characteristic
112	#106×D₄₃	C₂²	1	2	yes	—
113	#14582907	C₂²	1	1	yes	characteristic
114	#14582900	C₂²	1	1	yes	characteristic
115	C₂×#13063250	C₂²	1	1	yes	characteristic
116	C₂×#13063250	C₂²	1	1	yes	characteristic
117	#14582865	C₂²	1	1	yes	characteristic
118	#14582865	C₂²	1	1	yes	characteristic
119	C₄×#10621877	C₂²	1	1	yes	characteristic
120	C₄₃×#533	C₂²	1	1	yes	characteristic
121	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
122	C₄₃×#479	C₂²	1	1	yes	characteristic
123	C₄₃×#479	C₂²	1	1	yes	characteristic
124	C₄₃×#478	C₂²	1	1	yes	characteristic
125	C₄₃×#478	C₂²	1	1	yes	characteristic
126	C₄₃×#477	C₂²	1	1	yes	characteristic
127	C₄₃×#476	C₂²	1	1	yes	characteristic
128	C₄₃×#475	C₂²	1	1	yes	characteristic
129	C₄₃×#474	C₂²	1	1	yes	characteristic
130	C₄₃×#427	C₂²	1	1	yes	characteristic
131	C₄₃×#427	C₂²	1	1	yes	characteristic
132	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
133	C₄₃×#416	C₂²	1	1	yes	characteristic
134	C₄₃×#416	C₂²	1	1	yes	characteristic
135	C₂×#10621898	C₂³	1	1	yes	characteristic
136	C₂×#10621898	C₂³	1	1	yes	characteristic
137	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
138	#13063355	—	2	4	no	—
139	C₂×#10621885	C₂³	1	2	yes	—
140	C₂×#10621883	C₂³	1	2	yes	—
141	#13063331	—	2	4	no	—
142	#13063331	—	2	4	no	—
143	C₂×#10621877	C₂³	1	1	yes	characteristic
144	C₂×#10621877	C₂³	1	1	yes	characteristic
145	C₂×#10621872	C₂³	1	2	yes	—
146	C₂×#10621872	C₂³	1	2	yes	—
147	C₂×C₈×D₄₃	C₂³	1	2	yes	—
148	C₂×C₈×D₄₃	C₂³	1	2	yes	—
149	#13063325	—	2	1	no	—
150	#13063325	—	2	1	no	—
151	#13063325	D₄	1	1	yes	characteristic
152	#13063322	D₄	1	1	yes	characteristic
153	#13063320	—	2	2	no	—
154	#13063320	—	2	2	no	—
155	#13063320	—	2	2	no	—
156	#13063320	—	2	2	no	—
157	#13063319	—	2	2	no	—
158	#13063319	—	2	2	no	—
159	#13063318	—	2	2	no	—
160	#13063318	—	2	2	no	—
161	#13063317	—	2	1	no	—
162	#13063317	—	2	1	no	—
163	#13063317	C₂³	1	2	yes	—
164	#13063317	C₂³	1	2	yes	—
165	#13063316	—	2	2	no	—
166	#13063316	—	2	2	no	—
167	#13063316	—	2	2	no	—
168	#13063315	—	2	2	no	—
169	#13063315	—	2	2	no	—
170	#13063314	—	2	2	no	—
171	#13063313	—	2	1	no	—
172	#13063313	—	2	1	no	—
173	#13063313	D₄	1	1	yes	characteristic
174	#13063313	D₄	1	1	yes	characteristic
175	#13063310	—	2	2	no	—
176	#13063310	—	2	2	no	—
177	#13063310	—	2	2	no	—
178	#13063310	—	2	2	no	—
179	#13063309	—	2	2	no	—
180	#13063309	—	2	2	no	—
181	#13063308	—	2	2	no	—
182	#13063308	—	2	2	no	—
183	#13063305	C₂³	1	2	yes	—
184	#13063305	C₂³	1	2	yes	—
185	#13063305	C₂³	1	2	yes	—
186	#13063305	C₂³	1	2	yes	—
187	#13063304	—	2	1	no	—
188	#13063304	—	2	1	no	—
189	#13063301	—	2	2	no	—
190	#13063301	—	2	2	no	—
191	#13063301	C₂³	1	2	yes	—
192	#13063301	C₂³	1	2	yes	—
193	#13063299	—	2	1	no	—
194	#13063299	—	2	1	no	—
195	#13063299	D₄	1	2	yes	—
196	#13063299	D₄	1	2	yes	—
197	#13063298	—	2	2	no	—
198	#13063298	—	2	2	no	—
199	#13063297	—	2	2	no	—
200	#13063297	—	2	2	no	—
201	#13063296	C₂³	1	2	yes	—
202	#13063296	C₂³	1	2	yes	—
203	Q₈×Dic₄₃	—	2	2	no	—
204	C₄×Dic₈₆	—	2	1	no	—
205	C₄×Dic₈₆	—	2	1	no	—
206	C₄×Dic₈₆	—	2	1	no	—
207	C₄×Dic₈₆	—	2	1	no	—
208	C₄×Dic₈₆	—	2	1	no	—
209	C₄×Dic₈₆	—	2	1	no	—
210	C₄×Dic₈₆	C₂³	1	2	yes	—
211	C₄×Dic₈₆	C₂³	1	2	yes	—
212	C₄×D₁₇₂	—	2	1	no	—
213	C₄×D₁₇₂	—	2	1	no	—
214	C₄×D₁₇₂	—	2	1	no	—
215	C₄×D₁₇₂	—	2	1	no	—
216	C₄×D₁₇₂	C₂³	1	2	yes	—
217	C₄×D₁₇₂	C₂³	1	2	yes	—
218	#13063287	—	2	2	no	—
219	C₄×C₂²⋊D₄₃	—	2	2	no	—
220	C₄×C₂²⋊D₄₃	—	2	2	no	—
221	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
222	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
223	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
224	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
225	#13063283	—	2	2	no	—
226	#13063283	—	2	2	no	—
227	#13063283	C₂³	1	2	yes	—
228	#13063283	C₂³	1	2	yes	—
229	#13063283	C₂³	1	2	yes	—
230	#13063283	C₂³	1	2	yes	—
231	#13063282	—	2	2	no	—
232	#13063282	—	2	2	no	—
233	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	—	2	1	no	—
237	C₂×Dic₄₃⋊C₄	—	2	1	no	—
238	C₂×Dic₄₃⋊C₄	—	2	1	no	—
239	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
240	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
241	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
242	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
243	C₂×C₄×Dic₄₃	—	2	1	no	—
244	#13063259	C₂³	1	2	yes	—
245	#13063259	C₂³	1	2	yes	—
246	#13063258	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	#13063256	C₂³	1	2	yes	—
258	#13063250	C₂³	1	2	yes	—
259	#13063250	C₂³	1	2	yes	—
260	#13063250	C₂³	1	2	yes	—
261	#13063250	C₂³	1	2	yes	—
262	#13063249	C₂³	1	2	yes	—
263	#13063248	C₂³	1	2	yes	—
264	#13063248	C₂³	1	2	yes	—
265	#13063246	C₂³	1	2	yes	—
266	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
267	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
268	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
270	#13063236	C₂³	1	2	yes	—
271	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
272	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
273	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
275	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
276	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
277	#125×C₄₃	C₂³	1	1	yes	characteristic
278	#125×C₄₃	C₂³	1	1	yes	characteristic
279	C₂²⋊Q₈×C₄₃	—	2	1	no	—
280	C₂²⋊Q₈×C₄₃	—	2	1	no	—
281	C₄×Q₈×C₄₃	—	2	1	no	—
282	C₄×Q₈×C₄₃	—	2	1	no	—
283	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₄₃	—	2	1	no	—
286	C₄×D₄×C₄₃	—	2	1	no	—
287	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
289	#117×C₄₃	—	2	1	no	—
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	C₂×C₄²×C₄₃	—	2	1	no	—
294	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
295	#107×C₄₃	C₂³	1	1	yes	characteristic
296	#107×C₄₃	C₂³	1	1	yes	characteristic
297	#107×C₄₃	C₂³	1	1	yes	characteristic
298	#107×C₄₃	C₂³	1	1	yes	characteristic
299	#106×C₄₃	C₂³	1	1	yes	characteristic
300	#106×C₄₃	C₂³	1	1	yes	characteristic
301	#106×C₄₃	C₂³	1	1	yes	characteristic
302	#106×C₄₃	C₂³	1	1	yes	characteristic
303	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
306	C₄⋊C₈×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	#103×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	#102×C₄₃	C₂³	1	1	yes	characteristic
315	#41×C₄₃	—	2	2	no	—
316	#41×C₄₃	—	2	2	no	—
317	C₂×Q₈×C₄₃	—	2	1	no	—
318	C₂×Q₈×C₄₃	—	2	1	no	—
319	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
320	C₂×D₄×C₄₃	—	2	1	no	—
321	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₄₃	—	2	1	no	—
323	C₂²×C₄×C₄₃	—	2	1	no	—
324	C₂²×C₄×C₄₃	—	2	1	no	—
325	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂×C₂²⋊D₄₃	—	2	2	no	—
329	C₂×C₂²⋊D₄₃	—	2	2	no	—
330	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
331	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
332	C₂²×Dic₄₃	—	2	1	no	—
333	C₂²×Dic₄₃	—	2	1	no	—
334	C₂²×Dic₄₃	—	2	1	no	—
335	C₂²×Dic₄₃	—	2	1	no	—
336	#10621898	—	2	2	no	—
337	#10621898	—	2	2	no	—
338	#10621898	—	2	2	no	—
339	#10621898	—	2	2	no	—
340	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
341	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
342	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
343	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
344	C₂×C₄×D₄₃	—	2	2	no	—
345	C₂×C₄×D₄₃	—	2	2	no	—
346	C₂×C₄×D₄₃	—	2	2	no	—
347	C₂×C₄×D₄₃	—	2	2	no	—
348	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
349	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
350	C₂×Dic₈₆	—	2	2	no	—
351	C₂×Dic₈₆	—	2	2	no	—
352	C₂×Dic₈₆	—	2	1	no	—
353	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
354	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
355	C₂×Dic₈₆	C₂⁴	1	2	yes	—
356	C₂×C₈×C₄₃	—	2	2	no	—
357	C₂×C₈×C₄₃	—	2	2	no	—
358	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
360	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₄⋊C₄×C₄₃	—	2	1	no	—
363	C₄⋊C₄×C₄₃	—	2	1	no	—
364	C₄⋊C₄×C₄₃	—	2	1	no	—
365	C₄⋊C₄×C₄₃	—	2	1	no	—
366	C₄⋊C₄×C₄₃	—	2	1	no	—
367	C₄⋊C₄×C₄₃	—	2	1	no	—
368	C₄⋊C₄×C₄₃	—	2	1	no	—
369	C₄⋊C₄×C₄₃	—	2	1	no	—
370	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₂²⋊C₄×C₄₃	—	2	1	no	—
377	C₂²⋊C₄×C₄₃	—	2	1	no	—
378	C₂²⋊C₄×C₄₃	—	2	1	no	—
379	C₂²⋊C₄×C₄₃	—	2	1	no	—
380	C₂²⋊C₄×C₄₃	—	2	1	no	—
381	C₄²×C₄₃	—	2	1	no	—
382	C₄²×C₄₃	—	2	1	no	—
383	C₄²×C₄₃	—	2	1	no	—
384	C₄²×C₄₃	—	2	1	no	—
385	C₄²×C₄₃	—	2	1	no	—
386	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
387	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
388	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²⋊Dic₄₃	—	2	2	no	—
391	C₂²⋊Dic₄₃	—	2	2	no	—
392	#10621885	—	2	4	no	—
393	#10621883	—	2	4	no	—
394	(C₂×D₄₃)⋊C₄	—	2	2	no	—
395	(C₂×D₄₃)⋊C₄	—	2	2	no	—
396	(C₂×D₄₃)⋊C₄	—	2	2	no	—
397	(C₂×D₄₃)⋊C₄	—	2	2	no	—
398	(C₂×D₄₃)⋊C₄	—	2	2	no	—
399	(C₂×D₄₃)⋊C₄	—	2	2	no	—
400	(C₂×D₄₃)⋊C₄	—	2	2	no	—
401	(C₂×D₄₃)⋊C₄	—	2	2	no	—
402	(C₂×D₄₃)⋊C₄	—	2	2	no	—
403	(C₂×D₄₃)⋊C₄	—	2	2	no	—
404	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
405	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
406	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
407	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
408	C₄⋊Dic₄₃	—	2	1	no	—
409	C₄⋊Dic₄₃	—	2	1	no	—
410	C₄⋊Dic₄₃	—	2	1	no	—
411	C₄⋊Dic₄₃	—	2	2	no	—
412	C₄⋊Dic₄₃	—	2	2	no	—
413	C₄⋊Dic₄₃	—	2	2	no	—
414	C₄⋊Dic₄₃	—	2	2	no	—
415	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
416	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
417	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
418	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
419	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
420	Dic₄₃⋊C₄	—	2	2	no	—
421	Dic₄₃⋊C₄	—	2	2	no	—
422	Dic₄₃⋊C₄	—	2	2	no	—
423	Dic₄₃⋊C₄	—	2	2	no	—
424	Dic₄₃⋊C₄	—	2	2	no	—
425	Dic₄₃⋊C₄	—	2	2	no	—
426	Dic₄₃⋊C₄	—	2	2	no	—
427	Dic₄₃⋊C₄	—	2	2	no	—
428	Dic₄₃⋊C₄	—	2	2	no	—
429	Dic₄₃⋊C₄	—	2	2	no	—
430	Dic₄₃⋊C₄	—	2	2	no	—
431	Dic₄₃⋊C₄	—	2	2	no	—
432	C₄×Dic₄₃	—	2	2	no	—
433	C₄×Dic₄₃	—	2	2	no	—
434	C₄×Dic₄₃	—	2	2	no	—
435	C₄×Dic₄₃	—	2	2	no	—
436	C₄×Dic₄₃	—	2	2	no	—
437	C₄×Dic₄₃	—	2	2	no	—
438	#10621877	—	2	2	no	—
439	#10621877	#41	1	4	yes	—
440	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
441	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
442	#10621872	—	2	4	no	—
443	#10621872	—	2	4	no	—
444	C₈×D₄₃	—	2	4	no	—
445	C₈×D₄₃	—	2	4	no	—
446	C₂³×C₄₃	—	2	1	no	—
447	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
448	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
449	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
450	Q₈×C₄₃	—	2	1	no	—
451	Q₈×C₄₃	—	2	1	no	—
452	Q₈×C₄₃	—	4	2	no	—
453	Q₈×C₄₃	—	8	1	no	—
454	D₄×C₄₃	—	2	1	no	—
455	D₄×C₄₃	—	2	1	no	—
456	D₄×C₄₃	—	4	2	no	—
457	C₂×C₄×C₄₃	—	2	1	no	—
458	C₂×C₄×C₄₃	—	2	1	no	—
459	C₂×C₄×C₄₃	—	2	1	no	—
460	C₂×C₄×C₄₃	—	2	1	no	—
461	C₂×C₄×C₄₃	—	2	1	no	—
462	C₂×C₄×C₄₃	—	2	1	no	—
463	C₂×C₄×C₄₃	—	2	1	no	—
464	C₂×C₄×C₄₃	—	4	1	no	—
465	C₂×C₄×C₄₃	—	4	1	no	—
466	C₂×C₄×C₄₃	—	4	2	no	—
467	C₂×C₄×C₄₃	—	8	1	no	—
468	C₂×C₄×C₄₃	—	8	1	no	—
469	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
471	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
474	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
475	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
476	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
477	C₂²⋊D₄₃	—	2	4	no	—
478	C₂²⋊D₄₃	—	2	4	no	—
479	C₂²⋊D₄₃	—	8	2	no	—
480	C₂²⋊D₄₃	—	8	2	no	—
481	C₂×Dic₄₃	—	2	2	no	—
482	C₂×Dic₄₃	—	2	2	no	—
483	C₂×Dic₄₃	—	2	2	no	—
484	C₂×Dic₄₃	—	2	2	no	—
485	C₂×Dic₄₃	—	4	2	no	—
486	C₂×Dic₄₃	—	8	1	no	—
487	C₂×Dic₄₃	—	8	1	no	—
488	C₂×Dic₄₃	—	8	1	no	—
489	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
490	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
491	D₁₇₂	—	2	2	no	—
492	D₁₇₂	—	2	2	no	—
493	D₁₇₂	—	4	2	no	—
494	D₁₇₂	—	4	2	no	—
495	C₄×D₄₃	—	2	2	no	—
496	C₄×D₄₃	—	2	2	no	—
497	C₄×D₄₃	—	2	2	no	—
498	C₄×D₄₃	—	2	2	no	—
499	C₄×D₄₃	—	8	2	no	—
500	C₄×D₄₃	—	8	2	no	—
501	C₄×D₄₃	—	8	2	no	—
502	C₄×D₄₃	—	8	2	no	—
503	Dic₈₆	—	2	2	no	—
504	Dic₈₆	—	2	2	no	—
505	Dic₈₆	—	2	2	no	—
506	Dic₈₆	—	2	2	no	—
507	Dic₈₆	—	4	2	no	—
508	C₈×C₄₃	—	2	1	no	—
509	C₈×C₄₃	—	2	1	no	—
510	C₈×C₄₃	—	2	1	no	—
511	C₈×C₄₃	—	2	1	no	—
512	C₄₃⋊C₈	—	2	2	no	—
513	C₄₃⋊C₈	C₂×#41	1	4	yes	—
514	#61280	—	43	1	no	maximal, Sylow
515	C₂²×C₄₃	—	2	1	no	—
516	C₂²×C₄₃	—	2	1	no	—
517	C₂²×C₄₃	—	4	1	no	—
518	C₂²×C₄₃	—	4	1	no	—
519	C₂²×C₄₃	—	4	1	no	—
520	C₂²×C₄₃	#547	1	2	yes	—
521	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
522	C₂×D₄₃	—	2	2	no	—
523	C₂×D₄₃	—	2	2	no	—
524	C₂×D₄₃	—	2	2	no	—
525	C₂×D₄₃	—	2	2	no	—
526	C₂×D₄₃	—	2	2	no	—
527	C₂×D₄₃	—	2	2	no	—
528	C₄×C₄₃	—	2	1	no	—
529	C₄×C₄₃	—	2	1	no	—
530	C₄×C₄₃	—	2	1	no	—
531	C₄×C₄₃	—	2	1	no	—
532	C₄×C₄₃	—	4	1	no	—
533	C₄×C₄₃	—	4	1	no	—
534	C₄×C₄₃	—	4	1	no	—
535	C₄×C₄₃	—	4	1	no	—
536	C₄×C₄₃	—	4	1	no	—
537	C₄×C₄₃	—	4	1	no	—
538	C₄×C₄₃	—	4	1	no	—
539	C₄×C₄₃	#547	1	2	yes	—
540	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
541	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
542	Dic₄₃	—	2	2	no	—
543	Dic₄₃	—	2	2	no	—
544	Dic₄₃	—	4	2	no	—
545	Dic₄₃	—	4	2	no	—
546	Dic₄₃	—	4	2	no	—
547	Dic₄₃	—	4	2	no	—
548	#3512	—	43	1	no	—
549	#3507	—	43	1	no	—
550	#3352	—	43	2	no	—
551	#3351	—	43	2	no	—
552	#3350	—	43	2	no	—
553	#3349	—	43	2	no	—
554	#3346	—	43	2	no	—
555	#3344	—	43	2	no	—
556	#3337	—	43	2	no	—
557	#3336	—	43	2	no	—
558	#3166	—	43	1	no	—
559	#3099	—	43	1	no	—
560	#3098	—	43	1	no	—
561	#3097	—	43	1	no	—
562	#3097	—	43	1	no	—
563	#3076	D₄₃	1	1	yes	characteristic, complemented
564	C₂×#479	—	43	1	no	—
565	#3063	—	43	1	no	—
566	#3063	—	43	1	no	—
567	C₄×#137	—	43	1	no	—
568	#2935	—	43	1	no	—
569	#2913	—	43	1	no	—
570	#2912	—	43	1	no	—
571	C₂×C₄₃	—	2	2	no	—
572	C₂×C₄₃	—	8	1	no	—
573	C₂×C₄₃	C₂×#547	1	1	yes	characteristic
574	C₂×C₄₃	#3584	1	1	yes	characteristic
575	C₂×C₄₃	#3586	1	1	yes	characteristic
576	D₄₃	—	4	2	no	—
577	D₄₃	—	4	2	no	—
578	C₂×#137	—	43	1	no	—
579	C₂×#131	—	43	1	no	—
580	C₂×#131	—	43	1	no	—
581	#559	—	86	1	no	—
582	#557	—	86	1	no	—
583	#556	—	43	2	no	—
584	#556	—	86	1	no	—
585	#556	—	86	1	no	—
586	#554	—	43	2	no	—
587	#553	—	43	2	no	—
588	#553	—	43	2	no	—
589	#553	—	86	2	no	—
590	#553	—	86	2	no	—
591	#552	—	43	2	no	—
592	#552	—	43	2	no	—
593	#552	—	43	2	no	—
594	#552	—	43	2	no	—
595	#541	—	86	1	no	—
596	#540	—	86	1	no	—
597	#539	—	86	2	no	—
598	#537	—	43	1	no	—
599	#537	—	43	1	no	—
600	#536	—	43	1	no	—
601	#536	—	43	1	no	—
602	#533	C₂×D₄₃	1	1	yes	characteristic
603	#532	—	43	1	no	—
604	#529	—	86	1	no	—
605	#529	—	86	1	no	—
606	#529	—	86	2	no	—
607	C₂×#125	—	43	1	no	—
608	#520	—	43	1	no	—
609	#520	—	43	1	no	—
610	#520	—	43	1	no	—
611	#520	—	43	1	no	—
612	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
613	C₂×C₄×Q₈	—	43	1	no	—
614	#501	—	43	2	no	—
615	#501	—	43	2	no	—
616	#499	—	43	2	no	—
617	#499	—	43	2	no	—
618	#485	—	43	2	no	—
619	#485	—	43	2	no	—
620	#485	—	43	2	no	—
621	#485	—	43	2	no	—
622	#485	—	43	2	no	—
623	#485	—	43	2	no	—
624	#484	—	43	2	no	—
625	#484	—	43	2	no	—
626	#484	—	43	2	no	—
627	#483	—	43	2	no	—
628	#483	—	43	2	no	—
629	#483	—	43	2	no	—
630	#482	—	43	2	no	—
631	#482	—	43	2	no	—
632	#481	—	43	2	no	—
633	#480	—	43	2	no	—
634	#479	—	43	2	no	—
635	#479	—	43	2	no	—
636	#479	—	43	2	no	—
637	#479	—	43	2	no	—
638	#479	C₂×D₄₃	1	1	yes	characteristic
639	#479	C₂×D₄₃	1	1	yes	characteristic
640	#478	C₂×D₄₃	1	1	yes	characteristic
641	#478	C₂×D₄₃	1	1	yes	characteristic
642	#477	C₂×D₄₃	1	1	yes	characteristic
643	#476	C₂×D₄₃	1	1	yes	characteristic
644	#475	C₂×D₄₃	1	1	yes	characteristic
645	#474	C₂×D₄₃	1	1	yes	characteristic
646	#470	—	43	2	no	—
647	#470	—	43	2	no	—
648	#468	—	43	2	no	—
649	#468	—	43	2	no	—
650	#467	—	43	2	no	—
651	#467	—	43	2	no	—
652	#465	—	43	2	no	—
653	#465	—	43	2	no	—
654	#441	—	43	2	no	—
655	#440	—	43	2	no	—
656	C₄×Q₁₆	—	43	2	no	—
657	C₄×SD₁₆	—	43	2	no	—
658	#436	—	43	2	no	—
659	#435	—	43	2	no	—
660	#435	—	43	2	no	—
661	C₈×D₄	—	43	2	no	—
662	#428	—	43	1	no	—
663	#428	—	43	1	no	—
664	#428	—	43	1	no	—
665	#428	—	43	1	no	—
666	#428	—	43	1	no	—
667	#428	—	43	2	no	—
668	#428	—	43	2	no	—
669	#428	—	43	2	no	—
670	#428	—	43	2	no	—
671	#427	—	43	2	no	—
672	#427	—	43	2	no	—
673	#427	C₂×D₄₃	1	1	yes	characteristic
674	#427	C₂×D₄₃	1	1	yes	characteristic
675	C₂×#107	—	43	1	no	—
676	C₂×#107	—	43	2	no	—
677	C₂×#106	—	43	1	no	—
678	C₂×#106	—	43	2	no	—
679	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
680	#419	—	43	1	no	—
681	#417	—	43	1	no	—
682	#416	C₂×D₄₃	1	1	yes	characteristic
683	#416	C₂×D₄₃	1	1	yes	characteristic
684	C₂×#103	—	43	1	no	—
685	C₂×#103	—	43	1	no	—
686	#408	—	43	1	no	—
687	#408	—	43	1	no	—
688	C₄×M₁₆	—	43	1	no	—
689	C₄₃	#61280	1	1	yes	characteristic, complemented, Sylow
690	C₂×#41	—	43	1	no	—
691	C₂×#41	—	43	1	no	—
692	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
693	C₂²×Q₈	—	43	1	no	—
694	#137	—	86	4	no	—
695	C₂×Q₁₆	—	43	2	no	—
696	C₂×SD₁₆	—	43	2	no	—
697	#131	—	86	4	no	—
698	#131	—	86	4	no	—
699	C₂×M₁₆	—	43	1	no	—
700	C₂×M₁₆	—	43	1	no	—
701	C₂×M₁₆	—	43	2	no	—
702	C₂×M₁₆	—	43	2	no	—
703	C₂²×C₈	—	43	2	no	—
704	C₂²×C₈	—	43	2	no	—
705	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
706	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
707	C₄⋊Q₈	—	43	1	no	—
708	C₄⋊Q₈	—	86	1	no	—
709	C₄⋊Q₈	—	86	1	no	—
710	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
711	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
712	#127	—	43	1	no	—
713	#126	—	86	2	no	—
714	#126	—	86	2	no	—
715	#126	—	86	2	no	—
716	#126	—	86	2	no	—
717	#126	—	86	2	no	—
718	#126	—	86	2	no	—
719	#126	—	86	2	no	—
720	#126	—	86	2	no	—
721	#125	—	43	2	no	—
722	#125	—	43	2	no	—
723	#125	—	86	2	no	—
724	#125	—	86	2	no	—
725	#125	—	86	2	no	—
726	#125	—	86	2	no	—
727	#125	—	86	2	no	—
728	#125	—	86	1	no	—
729	#125	—	86	1	no	—
730	#125	C₂²×D₄₃	1	1	yes	characteristic
731	#125	C₂²×D₄₃	1	1	yes	characteristic
732	#124	—	43	1	no	—
733	#124	—	43	1	no	—
734	#124	—	86	1	no	—
735	#124	—	86	1	no	—
736	#124	—	86	2	no	—
737	#123	—	86	2	no	—
738	#123	—	86	2	no	—
739	#123	—	86	2	no	—
740	#123	—	86	2	no	—
741	#123	—	86	2	no	—
742	#123	—	86	2	no	—
743	#123	—	86	2	no	—
744	#123	—	86	2	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	43	2	no	—
748	C₂²⋊Q₈	—	43	2	no	—
749	C₂²⋊Q₈	—	43	2	no	—
750	C₂²⋊Q₈	—	43	2	no	—
751	C₂²⋊Q₈	—	43	2	no	—
752	C₂²⋊Q₈	—	43	2	no	—
753	C₂²⋊Q₈	—	86	2	no	—
754	C₂²⋊Q₈	—	86	2	no	—
755	C₂²⋊Q₈	—	86	1	no	—
756	C₂²⋊Q₈	—	86	1	no	—
757	#121	—	43	2	no	—
758	#121	—	43	2	no	—
759	#121	—	43	2	no	—
760	#121	—	43	2	no	—
761	#121	—	86	2	no	—
762	#121	—	86	2	no	—
763	#121	—	86	1	no	—
764	#121	—	86	1	no	—
765	#121	—	86	2	no	—
766	#121	—	86	2	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	43	2	no	—
770	C₄×Q₈	—	43	2	no	—
771	C₄×Q₈	—	86	1	no	—
772	C₄×Q₈	—	86	1	no	—
773	C₄×Q₈	—	86	1	no	—
774	C₄×Q₈	—	86	1	no	—
775	C₄×Q₈	—	86	2	no	—
776	C₄×Q₈	—	86	1	no	—
777	C₄×Q₈	—	86	1	no	—
778	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
779	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	43	2	no	—
783	C₄×D₄	—	43	2	no	—
784	C₄×D₄	—	86	1	no	—
785	C₄×D₄	—	86	1	no	—
786	C₄×D₄	—	86	1	no	—
787	C₄×D₄	—	86	1	no	—
788	C₄×D₄	—	86	2	no	—
789	C₄×D₄	—	86	2	no	—
790	C₄×D₄	—	86	2	no	—
791	C₄×D₄	—	86	2	no	—
792	C₄×D₄	—	86	2	no	—
793	C₄×D₄	—	86	2	no	—
794	C₄×D₄	—	86	2	no	—
795	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
796	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
797	#117	—	2	1	no	—
798	#117	—	43	2	no	—
799	#117	—	43	2	no	—
800	#117	—	43	2	no	—
801	#117	—	43	2	no	—
802	#117	—	86	2	no	—
803	#117	—	86	2	no	—
804	#117	—	86	2	no	—
805	#117	—	86	2	no	—
806	#117	C₂²×D₄₃	1	1	yes	characteristic
807	#117	C₂²×D₄₃	1	1	yes	characteristic
808	#117	C₂²×D₄₃	1	1	yes	characteristic
809	C₂×C₄⋊C₄	—	43	1	no	—
810	C₂×C₄⋊C₄	—	43	1	no	—
811	C₂×C₄⋊C₄	—	43	1	no	—
812	C₂×C₄⋊C₄	—	43	2	no	—
813	C₂×C₄⋊C₄	—	43	2	no	—
814	C₂×C₄⋊C₄	—	43	2	no	—
815	C₂×C₄⋊C₄	—	43	2	no	—
816	C₂×C₄⋊C₄	—	86	1	no	—
817	C₂×C₄⋊C₄	—	86	1	no	—
818	C₂×C₄⋊C₄	—	86	1	no	—
819	C₂×C₄²	—	2	1	no	—
820	C₂×C₄²	—	86	1	no	—
821	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
822	#107	—	43	2	no	—
823	#107	—	43	2	no	—
824	#107	—	43	2	no	—
825	#107	—	43	2	no	—
826	#107	—	43	2	no	—
827	#107	—	43	2	no	—
828	#107	—	43	2	no	—
829	#107	C₂²×D₄₃	1	1	yes	characteristic
830	#107	C₂²×D₄₃	1	1	yes	characteristic
831	#107	C₂²×D₄₃	1	1	yes	characteristic
832	#107	C₂²×D₄₃	1	1	yes	characteristic
833	#106	—	43	2	no	—
834	#106	—	43	2	no	—
835	#106	—	43	2	no	—
836	#106	—	43	2	no	—
837	#106	—	43	2	no	—
838	#106	—	43	2	no	—
839	#106	—	43	2	no	—
840	#106	C₂²×D₄₃	1	1	yes	characteristic
841	#106	C₂²×D₄₃	1	1	yes	characteristic
842	#106	C₂²×D₄₃	1	1	yes	characteristic
843	#106	C₂²×D₄₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
845	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
846	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
847	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
848	#103	—	43	2	no	—
849	#103	—	43	2	no	—
850	#103	—	43	2	no	—
851	#103	—	43	2	no	—
852	#103	—	43	2	no	—
853	#103	—	43	2	no	—
854	#103	—	43	2	no	—
855	#103	C₂²×D₄₃	1	1	yes	characteristic
856	#103	C₂²×D₄₃	1	1	yes	characteristic
857	#103	C₂²×D₄₃	1	1	yes	characteristic
858	#103	C₂²×D₄₃	1	1	yes	characteristic
859	#102	—	43	2	no	—
860	#102	C₂²×D₄₃	1	1	yes	characteristic
861	#102	C₂²×D₄₃	1	1	yes	characteristic
862	#102	C₂²×D₄₃	1	1	yes	characteristic
863	#102	C₂²×D₄₃	1	1	yes	characteristic
864	C₂²⋊C₈	—	43	2	no	—
865	C₂²⋊C₈	—	43	2	no	—
866	C₂²⋊C₈	—	43	2	no	—
867	C₂²⋊C₈	—	43	2	no	—
868	#97	—	43	2	no	—
869	C₄×C₈	—	43	2	no	—
870	#41	—	2	2	no	—
871	#41	—	2	2	no	—
872	#41	—	86	2	no	—
873	#41	—	86	2	no	—
874	#41	—	86	2	no	—
875	#41	—	86	2	no	—
876	C₂×Q₈	—	2	1	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	43	1	no	—
879	C₂×Q₈	—	43	1	no	—
880	C₂×Q₈	—	43	2	no	—
881	C₂×Q₈	—	86	1	no	—
882	C₂×Q₈	—	86	2	no	—
883	C₂×Q₈	—	86	2	no	—
884	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	—	43	2	no	—
887	C₂×D₄	—	43	2	no	—
888	C₂×D₄	—	43	1	no	—
889	C₂×D₄	—	43	1	no	—
890	C₂×D₄	—	43	2	no	—
891	C₂×D₄	—	43	2	no	—
892	C₂×D₄	—	86	2	no	—
893	C₂×D₄	—	86	2	no	—
894	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	43	2	no	—
899	C₂²×C₄	—	43	2	no	—
900	C₂²×C₄	—	86	2	no	—
901	C₂²×C₄	—	86	2	no	—
902	C₂²×C₄	—	86	2	no	—
903	C₂²×C₄	—	86	2	no	—
904	C₂²×C₄	—	86	1	no	—
905	C₂²×C₄	—	86	1	no	—
906	C₂²×C₄	—	86	1	no	—
907	C₂²×C₄	—	86	1	no	—
908	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
909	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
910	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
911	Q₁₆	—	86	4	no	—
912	SD₁₆	—	86	4	no	—
913	M₁₆	—	43	4	no	—
914	M₁₆	—	86	4	no	—
915	M₁₆	—	86	4	no	—
916	M₁₆	—	86	2	no	—
917	C₂×C₈	—	2	2	no	—
918	C₂×C₈	—	2	2	no	—
919	C₂×C₈	—	43	2	no	—
920	C₂×C₈	—	43	2	no	—
921	C₂×C₈	—	86	4	no	—
922	C₂×C₈	—	86	4	no	—
923	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
924	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
925	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
926	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	1	no	—
932	C₄⋊C₄	—	2	1	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	43	2	no	—
936	C₄⋊C₄	—	43	2	no	—
937	C₄⋊C₄	—	43	2	no	—
938	C₄⋊C₄	—	43	2	no	—
939	C₄⋊C₄	—	43	2	no	—
940	C₄⋊C₄	—	86	2	no	—
941	C₄⋊C₄	—	86	2	no	—
942	C₄⋊C₄	—	86	2	no	—
943	C₄⋊C₄	—	86	2	no	—
944	C₄⋊C₄	—	86	2	no	—
945	C₄⋊C₄	—	86	2	no	—
946	C₄⋊C₄	—	86	2	no	—
947	C₄⋊C₄	—	86	2	no	—
948	C₄⋊C₄	—	86	2	no	—
949	C₄⋊C₄	—	86	2	no	—
950	C₄⋊C₄	—	86	1	no	—
951	C₄⋊C₄	—	86	1	no	—
952	C₄⋊C₄	—	86	1	no	—
953	C₄⋊C₄	—	86	2	no	—
954	C₄⋊C₄	—	86	2	no	—
955	C₄⋊C₄	—	86	2	no	—
956	C₄⋊C₄	—	86	2	no	—
957	C₄⋊C₄	—	86	2	no	—
958	C₄⋊C₄	—	86	2	no	—
959	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
960	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
965	C₂²⋊C₄	—	2	1	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	1	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	43	2	no	—
971	C₂²⋊C₄	—	43	2	no	—
972	C₂²⋊C₄	—	43	2	no	—
973	C₂²⋊C₄	—	43	2	no	—
974	C₂²⋊C₄	—	86	2	no	—
975	C₂²⋊C₄	—	86	2	no	—
976	C₂²⋊C₄	—	86	2	no	—
977	C₂²⋊C₄	—	86	2	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	2	no	—
986	C₄²	—	2	1	no	—
987	C₄²	—	2	1	no	—
988	C₄²	—	2	1	no	—
989	C₄²	—	2	1	no	—
990	C₄²	—	2	1	no	—
991	C₄²	—	86	2	no	—
992	C₄²	—	86	2	no	—
993	C₄²	—	86	2	no	—
994	C₄²	—	86	2	no	—
995	C₄²	—	86	2	no	—
996	C₄²	—	86	2	no	—
997	C₄²	D₄×D₄₃	1	1	yes	characteristic
998	C₄²	D₄×D₄₃	1	1	yes	characteristic
999	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1000	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1001	C₂³	—	2	1	no	—
1002	C₂³	—	43	2	no	—
1003	C₂³	—	43	2	no	—
1004	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1005	Q₈	—	2	1	no	—
1006	Q₈	—	2	1	no	—
1007	Q₈	—	4	2	no	—
1008	Q₈	—	8	1	no	—
1009	Q₈	—	86	2	no	—
1010	Q₈	—	86	2	no	—
1011	Q₈	—	86	2	no	—
1012	Q₈	—	86	2	no	—
1013	Q₈	—	172	2	no	—
1014	D₄	—	2	1	no	—
1015	D₄	—	2	1	no	—
1016	D₄	—	4	2	no	—
1017	D₄	—	86	4	no	—
1018	D₄	—	86	4	no	—
1019	D₄	—	86	2	no	—
1020	D₄	—	86	2	no	—
1021	D₄	—	344	2	no	—
1022	D₄	—	344	2	no	—
1023	D₄	—	172	2	no	—
1024	D₄	—	172	2	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	4	1	no	—
1033	C₂×C₄	—	4	1	no	—
1034	C₂×C₄	—	4	2	no	—
1035	C₂×C₄	—	8	1	no	—
1036	C₂×C₄	—	8	1	no	—
1037	C₂×C₄	—	43	2	no	—
1038	C₂×C₄	—	43	2	no	—
1039	C₂×C₄	—	86	2	no	—
1040	C₂×C₄	—	86	2	no	—
1041	C₂×C₄	—	86	2	no	—
1042	C₂×C₄	—	86	2	no	—
1043	C₂×C₄	—	86	2	no	—
1044	C₂×C₄	—	86	2	no	—
1045	C₂×C₄	—	86	2	no	—
1046	C₂×C₄	—	86	2	no	—
1047	C₂×C₄	—	344	2	no	—
1048	C₂×C₄	—	344	2	no	—
1049	C₂×C₄	—	344	2	no	—
1050	C₂×C₄	—	344	2	no	—
1051	C₂×C₄	—	344	1	no	—
1052	C₂×C₄	—	344	1	no	—
1053	C₂×C₄	—	344	1	no	—
1054	C₂×C₄	—	172	2	no	—
1055	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1056	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1057	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1058	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1059	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1060	C₂×C₄	#41×D₄₃	1	2	yes	—
1061	C₂×C₄	#13063373	1	2	yes	—
1062	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1063	C₈	—	2	1	no	—
1064	C₈	—	2	1	no	—
1065	C₈	—	2	1	no	—
1066	C₈	—	2	1	no	—
1067	C₈	—	43	4	no	—
1068	C₈	—	86	2	no	—
1069	C₂²	—	2	1	no	—
1070	C₂²	—	2	1	no	—
1071	C₂²	—	4	1	no	—
1072	C₂²	—	4	1	no	—
1073	C₂²	—	4	1	no	—
1074	C₂²	—	86	2	no	—
1075	C₂²	—	86	2	no	—
1076	C₂²	—	86	2	no	—
1077	C₂²	—	86	2	no	—
1078	C₂²	—	86	2	no	—
1079	C₂²	—	86	2	no	—
1080	C₂²	#14583551	1	2	yes	—
1081	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1082	C₄	—	2	1	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	1	no	—
1085	C₄	—	2	1	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	86	2	no	—
1094	C₄	—	86	2	no	—
1095	C₄	—	172	2	no	—
1096	C₄	—	172	2	no	—
1097	C₄	—	172	2	no	—
1098	C₄	—	172	2	no	—
1099	C₄	#14583551	1	2	yes	—
1100	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1101	C₄	C₂×#13063373	1	1	yes	characteristic
1102	C₂	—	2	2	no	—
1103	C₂	—	8	1	no	—
1104	C₂	—	172	2	no	—
1105	C₂	—	172	2	no	—
1106	C₂	C₂×#14583551	1	1	yes	characteristic
1107	C₂	#19149364	1	1	yes	characteristic
1108	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×#3076	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	#19148517	C₂
hypercenter	#3076	D₄₃
hypocenter	C₄₃	#61280
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3076

Complements

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

N	H ≅ G/N	type
2. #19148462	C₂	semidirect
3. #19147167	C₂	semidirect
4. #19147162	C₂	semidirect
5. #19147147	C₂	semidirect
6. #19147122	C₂	semidirect
7. #19147077	C₂	semidirect
8. #19147047	C₂	semidirect
9. #19146981	C₂	semidirect
10. #19146960	C₂	semidirect
11. #19145148	C₂	semidirect
12. #19144582	C₂	semidirect
13. #19144571	C₂	semidirect
14. #19144567	C₂	semidirect
15. #19144567	C₂	semidirect
16. C₂×#14583207	C₂	semidirect
17. #19144289	C₂	semidirect
18. #19144289	C₂	semidirect
19. C₄×#13063355	C₂	semidirect
20. #19143338	C₂	semidirect
21. #19143192	C₂	semidirect
22. #19143187	C₂	semidirect
23. C₄₃×#3076	C₂	semidirect
563. #3076	D₄₃	semidirect
689. C₄₃	#61280	semidirect

Maximal subgroups

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

subgroup	index
#19148517	2
#19148462	2
#19147167	2
#19147162	2
#19147147	2
#19147122	2
#19147077	2
#19147047	2
#19146981	2
#19146960	2
#19145148	2
#19144582	2
#19144571	2
#19144567	2
C₂×#14583207	2
#19144289	2
C₄×#13063355	2
#19143338	2
#19143192	2
#19143187	2
C₄₃×#3076	2
#61280	43