Subgroups — #25977250

Order 11008.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148401	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148397	C₂	1	1	yes	maximal, characteristic
3	#19147547	C₂	1	2	yes	maximal, complemented
4	#19147543	C₂	1	2	yes	maximal, complemented
5	#19147519	C₂	1	2	yes	maximal, complemented
6	#19147508	C₂	1	2	yes	maximal, complemented
7	#19147473	C₂	1	2	yes	maximal, complemented
8	#19147473	C₂	1	2	yes	maximal, complemented
9	#19147469	C₂	1	2	yes	maximal, complemented
10	#19147454	C₂	1	2	yes	maximal, complemented
11	#19145125	C₂	1	1	yes	maximal, characteristic, complemented
12	#19145121	C₂	1	1	yes	maximal, characteristic, complemented
13	#19145107	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144433	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144429	C₂	1	1	yes	maximal, characteristic
16	#19144427	C₂	1	1	yes	maximal, characteristic
17	#19144397	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144391	C₂	1	1	yes	maximal, characteristic
19	#19143528	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143454	C₂	1	1	yes	maximal, characteristic
21	#19143450	C₂	1	1	yes	maximal, characteristic
22	C₂×#14582984	C₂	1	1	yes	maximal, characteristic
23	C₄₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10621884	C₂²	1	1	yes	characteristic
25	Q₈×Dic₈₆	—	2	1	no	—
26	Q₈×Dic₈₆	C₂²	1	2	yes	complemented
27	#14583628	—	2	1	no	—
28	#14583628	C₂²	1	2	yes	complemented
29	#14583625	—	2	1	no	—
30	#14583625	—	2	1	no	—
31	#14583625	C₂²	1	2	yes	complemented
32	#14583625	C₂²	1	2	yes	complemented
33	#14583610	—	2	1	no	—
34	#14583610	C₂²	1	2	yes	—
35	#14583605	—	2	1	no	—
36	#14583605	—	2	1	no	—
37	#14583605	C₂²	1	2	yes	—
38	#14583605	C₂²	1	2	yes	—
39	#14583564	—	2	1	no	—
40	#14583564	C₂²	1	2	yes	—
41	#14583530	C₂²	1	1	yes	characteristic
42	#14583527	—	2	2	no	—
43	#14583527	C₂²	1	1	yes	characteristic
44	#14583527	C₂²	1	1	yes	characteristic
45	#14583524	—	2	2	no	—
46	#14583452	—	2	2	no	—
47	#14583452	C₂²	1	1	yes	characteristic
48	#14583452	C₂²	1	1	yes	characteristic
49	#14583452	C₂²	1	1	yes	characteristic
50	C₂²⋊Q₈×D₄₃	—	2	2	no	—
51	#14583377	C₂²	1	1	yes	characteristic
52	#14583373	C₂²	1	1	yes	characteristic
53	#14583373	C₂²	1	1	yes	characteristic
54	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic
55	C₂×#13063287	C₂²	1	1	yes	characteristic
56	#14583309	C₂²	1	2	yes	complemented
57	#14583307	C₂²	1	2	yes	complemented
58	#14583306	C₂²	1	2	yes	complemented
59	#14583305	C₂²	1	2	yes	complemented
60	#14583303	C₂²	1	1	yes	characteristic, complemented
61	#14583303	C₂²	1	1	yes	characteristic, complemented
62	#14583300	C₂²	1	1	yes	characteristic, complemented
63	#14583300	C₂²	1	1	yes	characteristic, complemented
64	#14583300	C₂²	1	2	yes	complemented
65	#14583299	C₂²	1	1	yes	characteristic, complemented
66	#14583299	C₂²	1	1	yes	characteristic, complemented
67	#14583298	C₂²	1	2	yes	complemented
68	#14583296	C₂²	1	1	yes	characteristic, complemented
69	#14583296	C₂²	1	1	yes	characteristic, complemented
70	#14583296	C₂²	1	2	yes	complemented
71	#14583295	C₂²	1	2	yes	complemented
72	#14583208	C₂²	1	2	yes	complemented
73	#14583208	C₂²	1	2	yes	complemented
74	#14583204	C₂²	1	2	yes	complemented
75	#14583204	C₂²	1	2	yes	complemented
76	#14583202	C₂²	1	2	yes	—
77	#14583202	C₂²	1	2	yes	—
78	#14583200	C₂²	1	2	yes	—
79	#14583200	C₂²	1	2	yes	—
80	#14583198	C₂²	1	2	yes	—
81	#14583198	C₂²	1	2	yes	—
82	#14583192	C₂²	1	2	yes	complemented
83	#14583192	C₂²	1	2	yes	complemented
84	#14583190	C₂²	1	2	yes	—
85	#14583188	C₂²	1	2	yes	—
86	#14583188	C₂²	1	2	yes	—
87	#14583182	C₂²	1	2	yes	complemented
88	#14583182	C₂²	1	2	yes	complemented
89	#14583180	C₂²	1	2	yes	—
90	#14583178	C₂²	1	2	yes	—
91	#14583178	C₂²	1	2	yes	—
92	#14583028	C₂²	1	2	yes	complemented
93	#14583028	C₂²	1	2	yes	complemented
94	#14583023	C₂²	1	2	yes	complemented
95	#14583023	C₂²	1	2	yes	complemented
96	#14583002	C₂²	1	2	yes	—
97	#14583002	C₂²	1	2	yes	—
98	#14582997	C₂²	1	2	yes	—
99	#14582997	C₂²	1	2	yes	—
100	C₄×#10621884	C₂²	1	2	yes	—
101	C₄×#10621884	C₂²	1	2	yes	—
102	#14582984	C₂²	1	2	yes	—
103	#14582984	C₂²	1	2	yes	—
104	#14582984	C₂²	1	2	yes	—
105	#14582984	C₂²	1	2	yes	—
106	#14582984	C₂²	1	2	yes	—
107	#14582984	C₂²	1	2	yes	—
108	#14582942	C₂²	1	1	yes	characteristic
109	#14582941	C₂²	1	1	yes	characteristic
110	#14582939	C₂²	1	1	yes	characteristic
111	#14582937	C₂²	1	1	yes	characteristic
112	#14582935	C₂²	1	1	yes	characteristic
113	#14582935	C₂²	1	1	yes	characteristic
114	C₂×#13063256	C₂²	1	1	yes	characteristic
115	#14582925	C₂²	1	1	yes	characteristic
116	#14582922	C₂²	1	1	yes	characteristic
117	#14582908	C₂²	1	1	yes	characteristic
118	#14582905	C₂²	1	1	yes	characteristic
119	#14582903	C₂²	1	1	yes	characteristic
120	C₂×#13063247	C₂²	1	1	yes	characteristic
121	#14582857	C₂²	1	1	yes	characteristic
122	#14582855	C₂²	1	1	yes	characteristic
123	C₂×C₈×Dic₄₃	C₂²	1	1	yes	characteristic
124	C₄₃×#544	C₂²	1	1	yes	characteristic
125	C₄₃×#519	C₂²	1	1	yes	characteristic
126	C₄₃×#479	C₂²	1	2	yes	complemented
127	C₄₃×#479	C₂²	1	2	yes	complemented
128	C₄₃×#477	C₂²	1	2	yes	complemented
129	C₄₃×#475	C₂²	1	2	yes	complemented
130	C₄₃×#428	C₂²	1	1	yes	characteristic
131	C₄₃×#427	C₂²	1	1	yes	characteristic
132	C₄₃×#424	C₂²	1	1	yes	characteristic
133	C₄₃×#419	C₂²	1	1	yes	characteristic
134	C₂×#103×C₄₃	C₂²	1	1	yes	characteristic
135	C₂×Q₈×D₄₃	—	2	2	no	—
136	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
137	C₂²×C₄×D₄₃	—	2	1	no	—
138	C₂×#10621884	Q₈	1	8	yes	complemented
139	C₂×#10621884	C₂³	1	2	yes	—
140	C₂×#10621884	C₂³	1	2	yes	—
141	C₂×#10621877	C₂³	1	1	yes	characteristic
142	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
143	#13063325	—	2	2	no	—
144	#13063325	—	2	1	no	—
145	#13063325	—	2	2	no	—
146	#13063325	C₂³	1	2	yes	—
147	#13063324	—	2	2	no	—
148	#13063324	—	2	2	no	—
149	#13063324	—	2	1	no	—
150	#13063324	—	2	1	no	—
151	#13063324	—	2	2	no	—
152	#13063324	—	2	2	no	—
153	#13063324	D₄	1	1	yes	characteristic
154	#13063324	D₄	1	1	yes	characteristic
155	#13063324	C₂³	1	1	yes	characteristic
156	#13063324	C₂³	1	1	yes	characteristic
157	#13063324	C₂³	1	1	yes	characteristic
158	#13063324	C₂³	1	1	yes	characteristic
159	#13063324	C₂³	1	2	yes	—
160	#13063324	C₂³	1	2	yes	—
161	#13063317	—	2	1	no	—
162	#13063317	—	2	2	no	—
163	#13063317	—	2	2	no	—
164	#13063317	C₂³	1	2	yes	—
165	#13063316	—	2	1	no	—
166	#13063316	—	2	1	no	—
167	#13063316	—	2	2	no	—
168	#13063316	—	2	2	no	—
169	#13063316	—	2	2	no	—
170	#13063316	—	2	2	no	—
171	#13063316	D₄	1	1	yes	characteristic
172	#13063316	D₄	1	1	yes	characteristic
173	#13063316	C₂³	1	1	yes	characteristic
174	#13063316	C₂³	1	1	yes	characteristic
175	#13063316	C₂³	1	1	yes	characteristic
176	#13063316	C₂³	1	1	yes	characteristic
177	#13063316	C₂³	1	2	yes	—
178	#13063316	C₂³	1	2	yes	—
179	#13063305	—	2	2	no	—
180	#13063305	—	2	2	no	—
181	#13063305	—	2	2	no	—
182	#13063304	—	2	2	no	—
183	#13063303	—	2	2	no	—
184	#13063303	—	2	2	no	—
185	#13063303	—	2	2	no	—
186	#13063303	—	2	2	no	—
187	#13063303	—	2	2	no	—
188	#13063303	—	2	2	no	—
189	#13063302	—	2	1	no	—
190	#13063302	—	2	1	no	—
191	#13063302	—	2	1	no	—
192	#13063302	—	2	1	no	—
193	#13063302	—	2	2	no	—
194	#13063302	—	2	2	no	—
195	#13063302	D₄	1	2	yes	—
196	#13063302	D₄	1	2	yes	—
197	#13063301	—	2	2	no	—
198	#13063301	—	2	2	no	—
199	#13063301	—	2	2	no	—
200	Q₈×Dic₄₃	—	2	1	no	—
201	Q₈×Dic₄₃	—	2	1	no	—
202	Q₈×Dic₄₃	—	2	1	no	—
203	Q₈×Dic₄₃	—	2	1	no	—
204	Q₈×Dic₄₃	C₂³	1	2	yes	—
205	Q₈×Dic₄₃	C₂³	1	2	yes	—
206	Q₈×Dic₄₃	C₂³	1	2	yes	—
207	Q₈×Dic₄₃	C₂³	1	2	yes	—
208	C₄×Dic₈₆	—	2	2	no	—
209	C₄×Dic₈₆	—	2	2	no	—
210	C₄×Dic₈₆	—	2	2	no	—
211	C₄×Dic₈₆	—	2	2	no	—
212	C₄×Dic₈₆	—	2	1	no	—
213	C₄×Dic₈₆	—	2	1	no	—
214	C₄×Dic₈₆	—	2	1	no	—
215	C₄×Dic₈₆	—	2	1	no	—
216	C₄×Dic₈₆	C₂³	1	2	yes	—
217	C₄×Dic₈₆	C₂³	1	2	yes	—
218	C₄×D₁₇₂	—	2	1	no	—
219	C₄×D₁₇₂	—	2	1	no	—
220	C₄×D₁₇₂	C₂³	1	2	yes	—
221	C₄×D₁₇₂	C₂³	1	2	yes	—
222	#13063287	—	2	1	no	—
223	#13063287	—	2	1	no	—
224	#13063287	—	2	1	no	—
225	#13063287	—	2	1	no	—
226	#13063287	C₂³	1	2	yes	—
227	#13063287	C₂³	1	2	yes	—
228	#13063287	C₂³	1	2	yes	—
229	#13063287	C₂³	1	2	yes	—
230	#13063284	—	2	2	no	—
231	#13063284	C₂³	1	1	yes	characteristic
232	#13063284	C₂³	1	1	yes	characteristic
233	#13063284	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₄₃	—	2	1	no	—
235	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₄⋊C₄×D₄₃	—	2	2	no	—
237	C₄⋊C₄×D₄₃	—	2	2	no	—
238	C₄⋊C₄×D₄₃	—	2	2	no	—
239	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
240	C₂²⋊C₄×D₄₃	—	2	2	no	—
241	C₂²⋊C₄×D₄₃	—	2	2	no	—
242	C₂×C₄×Dic₄₃	—	2	1	no	—
243	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
244	#13063259	C₂³	1	1	yes	characteristic
245	#13063259	C₂³	1	1	yes	characteristic
246	#13063259	C₂³	1	2	yes	—
247	#13063258	C₂³	1	2	yes	—
248	#13063258	C₂³	1	2	yes	—
249	#13063258	C₂³	1	1	yes	characteristic
250	#13063258	C₂³	1	1	yes	characteristic
251	#13063258	C₂³	1	1	yes	characteristic
252	#13063258	C₂³	1	1	yes	characteristic
253	#13063257	C₂³	1	1	yes	characteristic
254	#13063257	C₂³	1	1	yes	characteristic
255	#13063257	C₂³	1	2	yes	—
256	#13063256	C₂³	1	1	yes	characteristic
257	#13063256	C₂³	1	1	yes	characteristic
258	#13063256	C₂³	1	2	yes	—
259	#13063256	C₂³	1	1	yes	characteristic
260	#13063256	C₂³	1	1	yes	characteristic
261	#13063256	C₂³	1	2	yes	—
262	#13063256	C₂³	1	2	yes	—
263	#13063256	C₂³	1	2	yes	—
264	Dic₄₃⋊C₈	C₂³	1	2	yes	—
265	Dic₄₃⋊C₈	C₂³	1	2	yes	—
266	Dic₄₃⋊C₈	C₂³	1	2	yes	—
267	Dic₄₃⋊C₈	C₂³	1	2	yes	—
268	#13063249	C₂³	1	2	yes	—
269	#13063249	C₂³	1	2	yes	—
270	#13063247	C₂³	1	2	yes	—
271	#13063247	C₂³	1	2	yes	—
272	#13063247	C₂³	1	2	yes	—
273	#13063247	C₂³	1	2	yes	—
274	#13063245	C₂³	1	2	yes	—
275	#13063245	C₂³	1	2	yes	—
276	#13063236	C₂³	1	2	yes	—
277	#13063235	C₂³	1	2	yes	—
278	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
279	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
280	C₈×Dic₄₃	C₂³	1	2	yes	—
281	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
285	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
286	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₄⋊Q₈×C₄₃	—	2	1	no	—
288	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
289	#125×C₄₃	—	2	1	no	—
290	#125×C₄₃	C₂³	1	2	yes	—
291	C₂²⋊Q₈×C₄₃	—	2	2	no	—
292	C₄×Q₈×C₄₃	—	2	1	no	—
293	C₄×Q₈×C₄₃	—	2	1	no	—
294	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
295	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
296	#117×C₄₃	—	2	2	no	—
297	#117×C₄₃	C₂³	1	1	yes	characteristic
298	#117×C₄₃	C₂³	1	1	yes	characteristic
299	#117×C₄₃	C₂³	1	1	yes	characteristic
300	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
301	#107×C₄₃	C₂³	1	1	yes	characteristic
302	#107×C₄₃	C₂³	1	1	yes	characteristic
303	#107×C₄₃	C₂³	1	2	yes	—
304	#106×C₄₃	C₂³	1	1	yes	characteristic
305	#106×C₄₃	C₂³	1	1	yes	characteristic
306	#106×C₄₃	C₂³	1	2	yes	—
307	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
308	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
309	#103×C₄₃	C₂³	1	2	yes	—
310	#103×C₄₃	C₂³	1	2	yes	—
311	#103×C₄₃	C₂³	1	2	yes	—
312	#103×C₄₃	C₂³	1	2	yes	—
313	C₂³×D₄₃	—	2	1	no	—
314	C₂×Q₈×C₄₃	—	2	1	no	—
315	C₂×Q₈×C₄₃	—	2	2	no	—
316	C₂×Q₈×C₄₃	—	2	2	no	—
317	C₂×Q₈×C₄₃	C₂×Q₈	1	4	yes	complemented
318	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
319	C₂²×C₄×C₄₃	—	2	1	no	—
320	C₂²×C₄×C₄₃	—	2	1	no	—
321	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
322	C₂²×Dic₄₃	—	2	1	no	—
323	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
324	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
325	Q₈×D₄₃	—	8	4	no	—
326	C₂×D₁₇₂	—	2	1	no	—
327	C₂×D₁₇₂	—	2	2	no	—
328	C₂×D₁₇₂	C₂×Q₈	1	4	yes	—
329	C₂×D₁₇₂	C₂⁴	1	2	yes	—
330	C₂×C₄×D₄₃	—	2	2	no	—
331	C₂×C₄×D₄₃	—	2	2	no	—
332	C₂×C₄×D₄₃	—	2	2	no	—
333	C₂×C₄×D₄₃	—	2	2	no	—
334	C₂×C₄×D₄₃	—	2	2	no	—
335	C₂×C₄×D₄₃	—	2	2	no	—
336	C₂×C₄×D₄₃	—	8	2	no	—
337	C₂×Dic₈₆	—	2	1	no	—
338	C₂×Dic₈₆	—	2	1	no	—
339	C₂×Dic₈₆	—	2	2	no	—
340	C₂×Dic₈₆	—	2	1	no	—
341	C₂×Dic₈₆	—	2	1	no	—
342	C₂×Dic₈₆	—	2	2	no	—
343	C₂×Dic₈₆	—	2	2	no	—
344	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
345	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
346	M₁₆×C₄₃	—	2	2	no	—
347	C₂×C₈×C₄₃	—	2	2	no	—
348	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
350	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
351	C₄⋊C₄×C₄₃	—	2	1	no	—
352	C₄⋊C₄×C₄₃	—	2	2	no	—
353	C₄⋊C₄×C₄₃	—	2	2	no	—
354	C₄⋊C₄×C₄₃	—	2	2	no	—
355	C₄⋊C₄×C₄₃	—	2	2	no	—
356	C₄⋊C₄×C₄₃	—	2	2	no	—
357	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
358	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
359	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
360	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
363	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
364	C₂²⋊C₄×C₄₃	—	2	1	no	—
365	C₂²⋊C₄×C₄₃	—	2	1	no	—
366	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
367	C₄²×C₄₃	—	2	2	no	—
368	C₄²×C₄₃	—	2	2	no	—
369	C₄²×C₄₃	—	2	1	no	—
370	C₄²×C₄₃	—	2	1	no	—
371	C₄²×C₄₃	C₂⁴	1	2	yes	—
372	C₂²⋊Dic₄₃	—	2	1	no	—
373	C₂²⋊Dic₄₃	—	2	1	no	—
374	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
375	#10621884	C₂×Q₈	1	8	yes	complemented
376	#10621884	C₂×Q₈	1	8	yes	complemented
377	(C₂×D₄₃)⋊C₄	—	2	2	no	—
378	(C₂×D₄₃)⋊C₄	—	2	2	no	—
379	(C₂×D₄₃)⋊C₄	—	2	2	no	—
380	(C₂×D₄₃)⋊C₄	—	2	2	no	—
381	(C₂×D₄₃)⋊C₄	—	2	2	no	—
382	(C₂×D₄₃)⋊C₄	—	2	2	no	—
383	C₄⋊Dic₄₃	—	2	1	no	—
384	C₄⋊Dic₄₃	—	2	2	no	—
385	C₄⋊Dic₄₃	—	2	1	no	—
386	C₄⋊Dic₄₃	—	2	2	no	—
387	C₄⋊Dic₄₃	—	2	2	no	—
388	C₄⋊Dic₄₃	—	2	2	no	—
389	C₄⋊Dic₄₃	—	2	2	no	—
390	C₄⋊Dic₄₃	—	2	2	no	—
391	C₄⋊Dic₄₃	—	2	1	no	—
392	C₄⋊Dic₄₃	—	2	1	no	—
393	C₄⋊Dic₄₃	—	2	1	no	—
394	C₄⋊Dic₄₃	—	2	2	no	—
395	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
396	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
397	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
398	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
399	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
400	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
401	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
402	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
403	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
404	Dic₄₃⋊C₄	—	2	2	no	—
405	Dic₄₃⋊C₄	—	2	2	no	—
406	Dic₄₃⋊C₄	—	2	1	no	—
407	Dic₄₃⋊C₄	—	2	1	no	—
408	Dic₄₃⋊C₄	—	2	2	no	—
409	Dic₄₃⋊C₄	—	2	2	no	—
410	Dic₄₃⋊C₄	—	2	1	no	—
411	Dic₄₃⋊C₄	—	2	1	no	—
412	Dic₄₃⋊C₄	—	2	1	no	—
413	Dic₄₃⋊C₄	—	2	1	no	—
414	Dic₄₃⋊C₄	—	2	1	no	—
415	Dic₄₃⋊C₄	—	2	2	no	—
416	Dic₄₃⋊C₄	—	2	2	no	—
417	Dic₄₃⋊C₄	—	2	1	no	—
418	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
419	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
420	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
421	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
422	C₄×Dic₄₃	—	2	1	no	—
423	C₄×Dic₄₃	—	2	1	no	—
424	C₄×Dic₄₃	—	2	2	no	—
425	C₄×Dic₄₃	—	2	2	no	—
426	C₄×Dic₄₃	—	2	2	no	—
427	C₄×Dic₄₃	—	2	2	no	—
428	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
429	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
430	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
431	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
432	C₄×Dic₄₃	C₂⁴	1	2	yes	—
433	#10621877	—	2	2	no	—
434	C₂×C₄₃⋊C₈	C₂×Q₈	1	4	yes	complemented
435	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
436	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
437	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
438	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
439	C₂²×D₄₃	—	2	2	no	—
440	C₂²×D₄₃	—	2	4	no	—
441	C₂²×D₄₃	—	8	1	no	—
442	C₂²×D₄₃	—	8	1	no	—
443	Q₈×C₄₃	—	2	4	no	—
444	Q₈×C₄₃	—	2	2	no	—
445	Q₈×C₄₃	—	8	2	no	—
446	Q₈×C₄₃	C₂²×Q₈	1	4	yes	—
447	C₂×C₄×C₄₃	—	2	4	no	—
448	C₂×C₄×C₄₃	—	2	2	no	—
449	C₂×C₄×C₄₃	—	2	1	no	—
450	C₂×C₄×C₄₃	—	2	1	no	—
451	C₂×C₄×C₄₃	—	2	1	no	—
452	C₂×C₄×C₄₃	—	2	1	no	—
453	C₂×C₄×C₄₃	—	2	2	no	—
454	C₂×C₄×C₄₃	—	8	1	no	—
455	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
456	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
457	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
458	C₂×C₄×C₄₃	C₂²×Q₈	1	2	yes	—
459	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
460	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
461	C₂×Dic₄₃	—	2	2	no	—
462	C₂×Dic₄₃	—	2	1	no	—
463	C₂×Dic₄₃	—	2	1	no	—
464	C₂×Dic₄₃	—	2	2	no	—
465	C₂×Dic₄₃	—	2	1	no	—
466	C₂×Dic₄₃	—	2	1	no	—
467	C₂×Dic₄₃	—	4	1	no	—
468	C₂×Dic₄₃	—	8	1	no	—
469	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
471	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
472	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
473	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
474	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
475	D₁₇₂	—	2	4	no	—
476	D₁₇₂	—	2	2	no	—
477	D₁₇₂	C₂²×Q₈	1	4	yes	—
478	C₄×D₄₃	—	4	4	no	—
479	C₄×D₄₃	—	8	2	no	—
480	C₄×D₄₃	—	8	2	no	—
481	C₄×D₄₃	—	8	2	no	—
482	C₄×D₄₃	—	8	2	no	—
483	C₄×D₄₃	—	8	2	no	—
484	Dic₈₆	—	2	4	no	—
485	Dic₈₆	—	4	2	no	—
486	Dic₈₆	—	4	2	no	—
487	Dic₈₆	—	4	2	no	—
488	Dic₈₆	—	8	2	no	—
489	Dic₈₆	—	8	1	no	—
490	Dic₈₆	—	8	1	no	—
491	Dic₈₆	—	8	2	no	—
492	Dic₈₆	—	8	2	no	—
493	C₈×C₄₃	—	2	1	no	—
494	C₈×C₄₃	—	2	1	no	—
495	C₈×C₄₃	—	2	2	no	—
496	C₄₃⋊C₈	—	2	2	no	—
497	C₄₃⋊C₈	C₂²×Q₈	1	2	yes	—
498	C₄₃⋊C₈	C₂²×Q₈	1	2	yes	—
499	#61371	—	43	1	no	maximal, Sylow
500	C₂²×C₄₃	—	2	1	no	—
501	C₂²×C₄₃	—	2	1	no	—
502	C₂²×C₄₃	D₄×Q₈	1	2	yes	—
503	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
504	C₂×D₄₃	—	2	4	no	—
505	C₂×D₄₃	—	4	2	no	—
506	C₂×D₄₃	—	4	2	no	—
507	C₂×D₄₃	—	8	4	no	—
508	C₄×C₄₃	—	2	2	no	—
509	C₄×C₄₃	—	2	4	no	—
510	C₄×C₄₃	—	2	2	no	—
511	C₄×C₄₃	—	4	1	no	—
512	C₄×C₄₃	—	4	1	no	—
513	C₄×C₄₃	—	4	1	no	—
514	C₄×C₄₃	—	4	1	no	—
515	C₄×C₄₃	—	4	2	no	—
516	C₄×C₄₃	D₄×Q₈	1	2	yes	—
517	C₄×C₄₃	C₂³×Q₈	1	1	yes	characteristic
518	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
519	Dic₄₃	—	2	1	no	—
520	Dic₄₃	—	2	2	no	—
521	Dic₄₃	—	2	1	no	—
522	Dic₄₃	—	2	2	no	—
523	Dic₄₃	—	2	1	no	—
524	Dic₄₃	—	4	1	no	—
525	Dic₄₃	—	4	2	no	—
526	Dic₄₃	—	4	1	no	—
527	Dic₄₃	—	4	1	no	—
528	Dic₄₃	—	4	1	no	—
529	Dic₄₃	#577	1	2	yes	—
530	#3502	—	43	1	no	—
531	#3501	—	43	1	no	—
532	#3388	—	43	2	no	—
533	#3388	—	43	2	no	—
534	#3386	—	43	2	no	—
535	#3385	—	43	2	no	—
536	#3381	—	43	2	no	—
537	#3381	—	43	2	no	—
538	#3381	—	43	2	no	—
539	Q₈×SD₁₆	—	43	2	no	—
540	#3163	—	43	1	no	—
541	#3163	—	43	1	no	—
542	#3160	—	43	1	no	—
543	#3082	—	43	1	no	—
544	#3082	D₄₃	1	1	yes	characteristic, complemented
545	#3081	—	43	1	no	—
546	#3081	—	43	1	no	—
547	#3078	—	43	1	no	—
548	#3077	—	43	1	no	—
549	#2960	—	43	1	no	—
550	#2949	—	43	1	no	—
551	#2949	—	43	1	no	—
552	C₂×C₄×SD₁₆	—	43	1	no	—
553	C₂×C₄₃	—	2	2	no	—
554	C₂×C₄₃	C₂×D₄×Q₈	1	1	yes	characteristic
555	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
556	C₂×C₄₃	#3584	1	1	yes	characteristic
557	D₄₃	—	4	4	no	—
558	C₂²×SD₁₆	—	43	1	no	—
559	Q₈²	—	43	2	no	—
560	Q₈²	—	86	1	no	—
561	#557	—	43	2	no	—
562	#557	—	43	2	no	—
563	#557	—	43	2	no	—
564	#557	—	86	1	no	—
565	#557	—	86	1	no	—
566	#557	—	86	1	no	—
567	#554	—	43	2	no	—
568	#554	—	43	2	no	—
569	#554	—	43	2	no	—
570	#554	—	86	1	no	—
571	#554	—	86	1	no	—
572	#554	—	86	1	no	—
573	D₄×Q₈	—	43	2	no	—
574	D₄×Q₈	—	86	1	no	—
575	#544	—	43	1	no	—
576	#544	—	43	1	no	—
577	#544	—	43	1	no	—
578	#544	—	86	2	no	—
579	#544	C₂×D₄₃	1	1	yes	characteristic
580	#543	—	86	2	no	—
581	#533	—	43	1	no	—
582	#533	—	43	1	no	—
583	#533	—	43	1	no	—
584	#533	—	86	2	no	—
585	C₂×C₂²⋊Q₈	—	86	2	no	—
586	#519	—	43	1	no	—
587	#519	C₂×D₄₃	1	1	yes	characteristic
588	#518	—	43	1	no	—
589	#518	—	43	1	no	—
590	C₂×C₄×Q₈	—	43	1	no	—
591	C₂×C₄×D₄	—	43	1	no	—
592	#501	—	43	2	no	—
593	#501	—	43	2	no	—
594	#501	—	43	2	no	—
595	#501	—	43	2	no	—
596	#500	—	43	1	no	—
597	#500	—	43	1	no	—
598	#499	—	43	2	no	—
599	#499	—	43	1	no	—
600	#499	—	43	1	no	—
601	#499	—	43	2	no	—
602	#499	—	43	1	no	—
603	#499	—	43	1	no	—
604	#498	—	43	2	no	—
605	#498	—	43	1	no	—
606	#498	—	43	2	no	—
607	#498	—	43	1	no	—
608	#479	—	43	2	no	—
609	#479	—	43	2	no	—
610	#479	—	43	2	no	—
611	#479	—	43	2	no	—
612	#479	C₂×D₄₃	1	2	yes	complemented
613	#479	C₂×D₄₃	1	2	yes	complemented
614	#478	—	43	2	no	—
615	#478	—	43	2	no	—
616	#478	—	43	2	no	—
617	#478	—	43	2	no	—
618	#478	—	43	2	no	—
619	#478	—	43	2	no	—
620	#477	—	43	2	no	—
621	#477	—	43	2	no	—
622	#477	C₂×D₄₃	1	2	yes	complemented
623	#476	—	43	2	no	—
624	#476	—	43	2	no	—
625	#476	—	43	2	no	—
626	#475	—	43	2	no	—
627	#475	—	43	2	no	—
628	#475	C₂×D₄₃	1	2	yes	complemented
629	#474	—	43	2	no	—
630	#474	—	43	2	no	—
631	#474	—	43	2	no	—
632	#446	—	43	2	no	—
633	#446	—	43	2	no	—
634	C₈×Q₈	—	43	2	no	—
635	C₈×Q₈	—	43	2	no	—
636	#440	—	43	2	no	—
637	#440	—	43	2	no	—
638	#440	—	43	2	no	—
639	#440	—	43	2	no	—
640	C₄×SD₁₆	—	43	2	no	—
641	C₄×SD₁₆	—	43	2	no	—
642	C₄×SD₁₆	—	43	2	no	—
643	C₄×SD₁₆	—	43	2	no	—
644	C₄×SD₁₆	—	43	2	no	—
645	C₄×SD₁₆	—	43	2	no	—
646	C₄×SD₁₆	—	43	2	no	—
647	C₄×SD₁₆	—	43	2	no	—
648	#428	—	43	1	no	—
649	#428	—	43	1	no	—
650	#428	—	43	1	no	—
651	#428	C₂×D₄₃	1	1	yes	characteristic
652	#427	—	43	1	no	—
653	#427	—	43	1	no	—
654	#427	—	43	1	no	—
655	#427	C₂×D₄₃	1	1	yes	characteristic
656	C₂×#106	—	43	1	no	—
657	#424	—	43	1	no	—
658	#424	C₂×D₄₃	1	1	yes	characteristic
659	#423	—	43	1	no	—
660	#419	—	43	1	no	—
661	#419	C₂×D₄₃	1	1	yes	characteristic
662	#418	—	43	1	no	—
663	#418	—	43	1	no	—
664	C₂×#103	C₂×D₄₃	1	1	yes	characteristic
665	C₂×#102	—	43	1	no	—
666	#405	—	43	1	no	—
667	#405	—	43	1	no	—
668	C₂×C₄×C₈	—	43	1	no	—
669	C₄₃	#61371	1	1	yes	characteristic, complemented, Sylow
670	C₂²×Q₈	—	86	2	no	—
671	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
672	C₂²×D₄	—	43	1	no	—
673	C₂³×C₄	—	86	1	no	—
674	C₂×SD₁₆	—	43	8	no	—
675	C₂×SD₁₆	—	43	2	no	—
676	C₂×SD₁₆	—	43	2	no	—
677	C₂×M₁₆	—	43	1	no	—
678	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
679	C₂²×C₈	—	43	1	no	—
680	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
681	C₄⋊Q₈	—	2	1	no	—
682	C₄⋊Q₈	—	43	1	no	—
683	C₄⋊Q₈	—	43	1	no	—
684	C₄⋊Q₈	—	43	1	no	—
685	C₄⋊Q₈	—	43	1	no	—
686	C₄⋊Q₈	—	43	1	no	—
687	C₄⋊Q₈	—	43	1	no	—
688	C₄⋊Q₈	—	43	2	no	—
689	C₄⋊Q₈	—	43	2	no	—
690	C₄⋊Q₈	—	43	2	no	—
691	C₄⋊Q₈	—	86	1	no	—
692	C₄⋊Q₈	—	86	2	no	—
693	C₄⋊Q₈	—	86	2	no	—
694	C₄⋊Q₈	—	86	2	no	—
695	C₄⋊Q₈	—	86	1	no	—
696	C₄⋊Q₈	—	86	2	no	—
697	C₄⋊Q₈	—	86	2	no	—
698	C₄⋊Q₈	—	86	2	no	—
699	C₄⋊Q₈	—	86	1	no	—
700	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
701	#125	—	2	1	no	—
702	#125	—	43	1	no	—
703	#125	—	43	1	no	—
704	#125	—	43	1	no	—
705	#125	—	43	1	no	—
706	#125	—	43	1	no	—
707	#125	—	43	1	no	—
708	#125	—	43	2	no	—
709	#125	—	43	2	no	—
710	#125	—	43	2	no	—
711	#125	—	86	1	no	—
712	#125	—	86	2	no	—
713	#125	—	86	2	no	—
714	#125	—	86	2	no	—
715	#125	—	86	2	no	—
716	#125	—	86	1	no	—
717	#125	—	86	2	no	—
718	#125	—	86	2	no	—
719	#125	—	86	1	no	—
720	#125	C₂²×D₄₃	1	2	yes	—
721	C₂²⋊Q₈	—	2	2	no	—
722	C₂²⋊Q₈	—	43	2	no	—
723	C₂²⋊Q₈	—	43	2	no	—
724	C₂²⋊Q₈	—	86	2	no	—
725	C₂²⋊Q₈	—	86	1	no	—
726	C₂²⋊Q₈	—	86	1	no	—
727	C₂²⋊Q₈	—	86	1	no	—
728	C₂²⋊Q₈	—	86	1	no	—
729	C₂²⋊Q₈	—	86	2	no	—
730	C₂²⋊Q₈	—	86	2	no	—
731	C₂²⋊Q₈	—	86	2	no	—
732	C₂²⋊Q₈	—	86	2	no	—
733	C₂²⋊Q₈	—	86	2	no	—
734	C₂²⋊Q₈	—	86	2	no	—
735	C₂²⋊Q₈	—	86	2	no	—
736	C₂²⋊Q₈	—	86	2	no	—
737	C₂²⋊Q₈	—	86	2	no	—
738	C₂²⋊Q₈	—	86	2	no	—
739	C₂²⋊Q₈	—	86	2	no	—
740	C₂²⋊Q₈	—	86	2	no	—
741	C₂²⋊Q₈	—	86	2	no	—
742	C₂²⋊Q₈	—	86	2	no	—
743	C₄×Q₈	—	2	1	no	—
744	C₄×Q₈	—	2	1	no	—
745	C₄×Q₈	—	43	2	no	—
746	C₄×Q₈	—	43	2	no	—
747	C₄×Q₈	—	43	2	no	—
748	C₄×Q₈	—	43	2	no	—
749	C₄×Q₈	—	43	2	no	—
750	C₄×Q₈	—	43	2	no	—
751	C₄×Q₈	—	86	1	no	—
752	C₄×Q₈	—	86	1	no	—
753	C₄×Q₈	—	86	1	no	—
754	C₄×Q₈	—	86	1	no	—
755	C₄×Q₈	—	86	2	no	—
756	C₄×Q₈	—	86	2	no	—
757	C₄×Q₈	—	86	2	no	—
758	C₄×Q₈	—	86	2	no	—
759	C₄×Q₈	—	86	1	no	—
760	C₄×Q₈	—	86	1	no	—
761	C₄×Q₈	—	86	1	no	—
762	C₄×Q₈	—	86	1	no	—
763	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
764	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
765	C₄×D₄	—	43	2	no	—
766	C₄×D₄	—	43	2	no	—
767	C₄×D₄	—	43	2	no	—
768	C₄×D₄	—	43	2	no	—
769	C₄×D₄	—	43	2	no	—
770	C₄×D₄	—	43	2	no	—
771	C₄×D₄	—	86	1	no	—
772	C₄×D₄	—	86	1	no	—
773	C₄×D₄	—	86	1	no	—
774	C₄×D₄	—	86	1	no	—
775	C₄×D₄	—	86	1	no	—
776	C₄×D₄	—	86	1	no	—
777	#117	—	2	2	no	—
778	#117	—	43	1	no	—
779	#117	—	43	1	no	—
780	#117	—	43	1	no	—
781	#117	—	86	2	no	—
782	#117	C₂²×D₄₃	1	1	yes	characteristic
783	#117	C₂²×D₄₃	1	1	yes	characteristic
784	#117	C₂²×D₄₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	—	43	1	no	—
786	C₂×C₄⋊C₄	—	86	2	no	—
787	C₂×C₄⋊C₄	—	86	2	no	—
788	C₂×C₄⋊C₄	—	86	2	no	—
789	C₂×C₄⋊C₄	—	86	1	no	—
790	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	—	86	2	no	—
792	C₂×C₂²⋊C₄	—	86	1	no	—
793	C₂×C₂²⋊C₄	—	86	2	no	—
794	C₂×C₄²	—	43	1	no	—
795	C₂×C₄²	—	86	1	no	—
796	#107	—	43	1	no	—
797	#107	—	43	1	no	—
798	#107	—	43	2	no	—
799	#107	—	43	1	no	—
800	#107	—	43	1	no	—
801	#107	—	43	1	no	—
802	#107	—	43	1	no	—
803	#107	—	43	2	no	—
804	#107	—	43	2	no	—
805	#107	C₂²×D₄₃	1	1	yes	characteristic
806	#107	C₂²×D₄₃	1	1	yes	characteristic
807	#107	C₂²×D₄₃	1	2	yes	—
808	#106	—	43	1	no	—
809	#106	—	43	1	no	—
810	#106	—	43	2	no	—
811	#106	—	43	2	no	—
812	#106	—	43	2	no	—
813	#106	—	43	1	no	—
814	#106	—	43	1	no	—
815	#106	—	43	1	no	—
816	#106	—	43	1	no	—
817	#106	—	43	2	no	—
818	#106	—	43	2	no	—
819	#106	C₂²×D₄₃	1	1	yes	characteristic
820	#106	C₂²×D₄₃	1	1	yes	characteristic
821	#106	C₂²×D₄₃	1	2	yes	—
822	C₄⋊C₈	—	43	2	no	—
823	C₄⋊C₈	—	43	2	no	—
824	C₄⋊C₈	—	43	2	no	—
825	C₄⋊C₈	—	43	2	no	—
826	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
827	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
828	#103	—	43	2	no	—
829	#103	—	43	2	no	—
830	#103	C₂²×D₄₃	1	2	yes	—
831	#103	C₂²×D₄₃	1	2	yes	—
832	#103	C₂²×D₄₃	1	2	yes	—
833	#103	C₂²×D₄₃	1	2	yes	—
834	#102	—	43	2	no	—
835	#102	—	43	2	no	—
836	#102	—	43	2	no	—
837	#102	—	43	2	no	—
838	#102	—	43	2	no	—
839	#102	—	43	2	no	—
840	#97	—	43	2	no	—
841	#97	—	43	2	no	—
842	C₄×C₈	—	43	1	no	—
843	C₄×C₈	—	43	1	no	—
844	C₄×C₈	—	43	1	no	—
845	C₄×C₈	—	43	1	no	—
846	C₄×C₈	—	43	2	no	—
847	C₄×C₈	—	43	2	no	—
848	C₂⁴	—	86	1	no	—
849	C₂×Q₈	—	2	1	no	—
850	C₂×Q₈	—	2	2	no	—
851	C₂×Q₈	—	2	2	no	—
852	C₂×Q₈	—	43	2	no	—
853	C₂×Q₈	—	43	2	no	—
854	C₂×Q₈	—	86	1	no	—
855	C₂×Q₈	—	86	1	no	—
856	C₂×Q₈	—	86	2	no	—
857	C₂×Q₈	—	86	2	no	—
858	C₂×Q₈	—	86	1	no	—
859	C₂×Q₈	—	86	1	no	—
860	C₂×Q₈	—	86	2	no	—
861	C₂×Q₈	—	344	4	no	—
862	C₂×Q₈	Q₈×D₄₃	1	4	yes	complemented
863	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
864	C₂×D₄	—	43	4	no	—
865	C₂×D₄	—	43	2	no	—
866	C₂×D₄	—	86	1	no	—
867	C₂×D₄	—	86	2	no	—
868	C₂²×C₄	—	2	1	no	—
869	C₂²×C₄	—	2	1	no	—
870	C₂²×C₄	—	43	1	no	—
871	C₂²×C₄	—	43	1	no	—
872	C₂²×C₄	—	86	2	no	—
873	C₂²×C₄	—	86	2	no	—
874	C₂²×C₄	—	86	2	no	—
875	C₂²×C₄	—	86	2	no	—
876	C₂²×C₄	—	86	1	no	—
877	C₂²×C₄	—	86	2	no	—
878	C₂²×C₄	—	86	2	no	—
879	C₂²×C₄	—	344	2	no	—
880	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
881	SD₁₆	—	43	8	no	—
882	SD₁₆	—	43	8	no	—
883	M₁₆	—	2	2	no	—
884	M₁₆	—	86	2	no	—
885	C₂×C₈	—	2	2	no	—
886	C₂×C₈	—	43	4	no	—
887	C₂×C₈	—	43	1	no	—
888	C₂×C₈	—	43	1	no	—
889	C₂×C₈	—	43	2	no	—
890	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
891	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
892	C₂×C₈	C₂³×D₄₃	1	2	yes	—
893	C₄⋊C₄	—	2	2	no	—
894	C₄⋊C₄	—	2	2	no	—
895	C₄⋊C₄	—	2	2	no	—
896	C₄⋊C₄	—	2	1	no	—
897	C₄⋊C₄	—	2	2	no	—
898	C₄⋊C₄	—	2	2	no	—
899	C₄⋊C₄	—	43	2	no	—
900	C₄⋊C₄	—	43	2	no	—
901	C₄⋊C₄	—	43	2	no	—
902	C₄⋊C₄	—	43	1	no	—
903	C₄⋊C₄	—	43	1	no	—
904	C₄⋊C₄	—	43	2	no	—
905	C₄⋊C₄	—	43	2	no	—
906	C₄⋊C₄	—	43	2	no	—
907	C₄⋊C₄	—	43	2	no	—
908	C₄⋊C₄	—	43	1	no	—
909	C₄⋊C₄	—	43	1	no	—
910	C₄⋊C₄	—	43	1	no	—
911	C₄⋊C₄	—	43	1	no	—
912	C₄⋊C₄	—	86	1	no	—
913	C₄⋊C₄	—	86	1	no	—
914	C₄⋊C₄	—	86	1	no	—
915	C₄⋊C₄	—	86	2	no	—
916	C₄⋊C₄	—	86	2	no	—
917	C₄⋊C₄	—	86	2	no	—
918	C₄⋊C₄	—	86	2	no	—
919	C₄⋊C₄	—	86	2	no	—
920	C₄⋊C₄	—	86	2	no	—
921	C₄⋊C₄	—	86	2	no	—
922	C₄⋊C₄	—	86	1	no	—
923	C₄⋊C₄	—	86	1	no	—
924	C₄⋊C₄	—	86	1	no	—
925	C₄⋊C₄	—	86	1	no	—
926	C₄⋊C₄	—	86	1	no	—
927	C₄⋊C₄	—	86	1	no	—
928	C₄⋊C₄	—	86	2	no	—
929	C₄⋊C₄	—	86	1	no	—
930	C₄⋊C₄	—	86	1	no	—
931	C₄⋊C₄	—	86	2	no	—
932	C₄⋊C₄	—	86	1	no	—
933	C₄⋊C₄	—	86	2	no	—
934	C₄⋊C₄	—	86	1	no	—
935	C₄⋊C₄	—	86	2	no	—
936	C₄⋊C₄	—	86	2	no	—
937	C₄⋊C₄	—	86	2	no	—
938	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
939	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
940	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
941	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
942	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
943	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
944	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
945	C₂²⋊C₄	—	2	1	no	—
946	C₂²⋊C₄	—	2	1	no	—
947	C₂²⋊C₄	—	43	2	no	—
948	C₂²⋊C₄	—	86	2	no	—
949	C₂²⋊C₄	—	86	2	no	—
950	C₂²⋊C₄	—	86	2	no	—
951	C₂²⋊C₄	—	86	2	no	—
952	C₂²⋊C₄	—	86	1	no	—
953	C₂²⋊C₄	—	86	1	no	—
954	C₂²⋊C₄	—	86	2	no	—
955	C₂²⋊C₄	—	86	2	no	—
956	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
957	C₄²	—	2	2	no	—
958	C₄²	—	2	2	no	—
959	C₄²	—	2	1	no	—
960	C₄²	—	2	1	no	—
961	C₄²	—	43	1	no	—
962	C₄²	—	43	1	no	—
963	C₄²	—	43	1	no	—
964	C₄²	—	43	1	no	—
965	C₄²	—	43	2	no	—
966	C₄²	—	86	2	no	—
967	C₄²	—	86	2	no	—
968	C₄²	—	86	2	no	—
969	C₄²	—	86	2	no	—
970	C₄²	—	86	1	no	—
971	C₄²	—	86	1	no	—
972	C₄²	C₂³×D₄₃	1	2	yes	—
973	C₂³	—	86	4	no	—
974	C₂³	—	86	2	no	—
975	C₂³	—	344	1	no	—
976	C₂³	—	344	1	no	—
977	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
978	Q₈	—	2	4	no	—
979	Q₈	—	2	2	no	—
980	Q₈	—	8	2	no	—
981	Q₈	—	86	4	no	—
982	Q₈	—	344	2	no	—
983	Q₈	—	344	2	no	—
984	Q₈	—	344	1	no	—
985	Q₈	—	344	2	no	—
986	Q₈	—	344	1	no	—
987	Q₈	—	172	2	no	—
988	Q₈	—	172	2	no	—
989	Q₈	—	172	2	no	—
990	Q₈	C₂×Q₈×D₄₃	1	4	yes	—
991	D₄	—	43	4	no	—
992	D₄	—	86	4	no	—
993	D₄	—	86	2	no	—
994	C₂×C₄	—	2	4	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	8	1	no	—
1002	C₂×C₄	—	43	1	no	—
1003	C₂×C₄	—	43	1	no	—
1004	C₂×C₄	—	43	1	no	—
1005	C₂×C₄	—	43	1	no	—
1006	C₂×C₄	—	43	2	no	—
1007	C₂×C₄	—	43	2	no	—
1008	C₂×C₄	—	86	2	no	—
1009	C₂×C₄	—	86	1	no	—
1010	C₂×C₄	—	86	1	no	—
1011	C₂×C₄	—	86	2	no	—
1012	C₂×C₄	—	86	1	no	—
1013	C₂×C₄	—	86	1	no	—
1014	C₂×C₄	—	344	2	no	—
1015	C₂×C₄	—	344	2	no	—
1016	C₂×C₄	—	344	2	no	—
1017	C₂×C₄	—	344	2	no	—
1018	C₂×C₄	—	344	2	no	—
1019	C₂×C₄	—	344	1	no	—
1020	C₂×C₄	—	172	4	no	—
1021	C₂×C₄	—	172	1	no	—
1022	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1023	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1024	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1025	C₂×C₄	C₂×Q₈×D₄₃	1	2	yes	—
1026	C₂×C₄	#13063372	1	2	yes	—
1027	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1028	C₈	—	2	1	no	—
1029	C₈	—	2	1	no	—
1030	C₈	—	2	2	no	—
1031	C₈	—	43	2	no	—
1032	C₈	—	43	2	no	—
1033	C₈	—	86	2	no	—
1034	C₂²	—	2	1	no	—
1035	C₂²	—	2	1	no	—
1036	C₂²	—	86	4	no	—
1037	C₂²	—	344	4	no	—
1038	C₂²	—	172	2	no	—
1039	C₂²	—	172	2	no	—
1040	C₂²	#14583562	1	2	yes	—
1041	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1042	C₄	—	2	4	no	—
1043	C₄	—	2	2	no	—
1044	C₄	—	2	2	no	—
1045	C₄	—	4	2	no	—
1046	C₄	—	4	1	no	—
1047	C₄	—	4	1	no	—
1048	C₄	—	4	1	no	—
1049	C₄	—	4	1	no	—
1050	C₄	—	43	2	no	—
1051	C₄	—	86	1	no	—
1052	C₄	—	86	2	no	—
1053	C₄	—	86	2	no	—
1054	C₄	—	86	1	no	—
1055	C₄	—	86	1	no	—
1056	C₄	—	172	1	no	—
1057	C₄	—	172	1	no	—
1058	C₄	—	172	1	no	—
1059	C₄	—	172	2	no	—
1060	C₄	—	172	1	no	—
1061	C₄	#14583562	1	2	yes	—
1062	C₄	C₂²×Q₈×D₄₃	1	1	yes	characteristic
1063	C₄	C₂×#13063372	1	1	yes	characteristic
1064	C₂	—	2	2	no	—
1065	C₂	—	172	4	no	—
1066	C₂	C₂×#14583562	1	1	yes	characteristic
1067	C₂	#577×D₄₃	1	1	yes	characteristic
1068	C₂	#19149365	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×#3082	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	C₂²×D₁₇₂	C₂³
hypercenter	#3082	D₄₃
hypocenter	C₄₃	#61371
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3082

Complements

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

N	H ≅ G/N	type
1. #19148401	C₂	semidirect
3. #19147547	C₂	semidirect
4. #19147543	C₂	semidirect
5. #19147519	C₂	semidirect
6. #19147508	C₂	semidirect
7. #19147473	C₂	semidirect
8. #19147473	C₂	semidirect
9. #19147469	C₂	semidirect
10. #19147454	C₂	semidirect
11. #19145125	C₂	semidirect
12. #19145121	C₂	semidirect
13. #19145107	C₂	semidirect
14. #19144433	C₂	semidirect
17. #19144397	C₂	semidirect
19. #19143528	C₂	semidirect
23. C₄₃×#3082	C₂	semidirect
26. Q₈×Dic₈₆	C₂²	semidirect
28. #14583628	C₂²	semidirect
31. #14583625	C₂²	semidirect
32. #14583625	C₂²	semidirect
56. #14583309	C₂²	semidirect
57. #14583307	C₂²	semidirect
58. #14583306	C₂²	semidirect
59. #14583305	C₂²	semidirect
60. #14583303	C₂²	semidirect
61. #14583303	C₂²	semidirect
62. #14583300	C₂²	semidirect
63. #14583300	C₂²	semidirect
64. #14583300	C₂²	semidirect
65. #14583299	C₂²	semidirect
66. #14583299	C₂²	semidirect
67. #14583298	C₂²	semidirect
68. #14583296	C₂²	semidirect
69. #14583296	C₂²	semidirect
70. #14583296	C₂²	semidirect
71. #14583295	C₂²	semidirect
72. #14583208	C₂²	semidirect
73. #14583208	C₂²	semidirect
74. #14583204	C₂²	semidirect
75. #14583204	C₂²	semidirect
82. #14583192	C₂²	semidirect
83. #14583192	C₂²	semidirect
87. #14583182	C₂²	semidirect
88. #14583182	C₂²	semidirect
92. #14583028	C₂²	semidirect
93. #14583028	C₂²	semidirect
94. #14583023	C₂²	semidirect
95. #14583023	C₂²	semidirect
126. C₄₃×#479	C₂²	semidirect
127. C₄₃×#479	C₂²	semidirect
128. C₄₃×#477	C₂²	semidirect
129. C₄₃×#475	C₂²	semidirect
138. C₂×#10621884	Q₈	semidirect
317. C₂×Q₈×C₄₃	C₂×Q₈	semidirect
375. #10621884	C₂×Q₈	semidirect
376. #10621884	C₂×Q₈	semidirect
434. C₂×C₄₃⋊C₈	C₂×Q₈	semidirect
544. #3082	D₄₃	semidirect
612. #479	C₂×D₄₃	semidirect
613. #479	C₂×D₄₃	semidirect
622. #477	C₂×D₄₃	semidirect
628. #475	C₂×D₄₃	semidirect
669. C₄₃	#61371	semidirect
862. C₂×Q₈	Q₈×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19148401	2
#19148397	2
#19147547	2
#19147543	2
#19147519	2
#19147508	2
#19147473	2
#19147469	2
#19147454	2
#19145125	2
#19145121	2
#19145107	2
#19144433	2
#19144429	2
#19144427	2
#19144397	2
#19144391	2
#19143528	2
#19143454	2
#19143450	2
C₂×#14582984	2
C₄₃×#3082	2
#61371	43