Subgroups — #25976654

Order 11008.

1764 conjugacy classes of subgroups.

The subgroup lattice has 1122 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148493	C₂	1	1	yes	maximal, characteristic, complemented
2	#19147437	C₂	1	2	yes	maximal, complemented
3	#19147422	C₂	1	2	yes	maximal, complemented
4	#19147363	C₂	1	2	yes	maximal, complemented
5	#19147348	C₂	1	2	yes	maximal, complemented
6	#19147291	C₂	1	2	yes	maximal, complemented
7	#19147280	C₂	1	2	yes	maximal, complemented
8	#19147255	C₂	1	2	yes	maximal, complemented
9	#19147244	C₂	1	2	yes	maximal, complemented
10	#19144965	C₂	1	1	yes	maximal, characteristic, complemented
11	#19144954	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583256	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144431	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144420	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144413	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144145	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144134	C₂	1	1	yes	maximal, characteristic
18	#19144089	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143530	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143434	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143423	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13063345	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063355	C₂²	1	1	yes	characteristic
25	C₂×#13063350	C₂²	1	1	yes	characteristic
26	C₂×#13063345	C₂²	1	1	yes	characteristic
27	#14583634	C₂²	1	2	yes	—
28	#14583634	C₂²	1	2	yes	—
29	#14583622	C₂²	1	2	yes	—
30	#14583622	C₂²	1	2	yes	—
31	#14583576	—	2	2	no	—
32	#14583576	—	2	2	no	—
33	#14583523	—	2	1	no	—
34	#14583523	—	2	1	no	—
35	#14583475	C₂²	1	1	yes	characteristic
36	#14583468	C₂²	1	1	yes	characteristic
37	#14583434	—	2	1	no	—
38	#14583434	—	2	1	no	—
39	C₂×#13063313	C₂²	1	1	yes	characteristic
40	#14583376	C₂²	1	1	yes	characteristic
41	#14583373	C₂²	1	1	yes	characteristic
42	C₄×#10621898	C₂²	1	1	yes	characteristic
43	#14583269	C₂²	1	2	yes	complemented
44	#14583265	C₂²	1	2	yes	—
45	#14583261	C₂²	1	2	yes	—
46	#14583261	C₂²	1	2	yes	complemented
47	#14583256	C₂²	1	2	yes	—
48	#14583256	C₂²	1	2	yes	—
49	#14583256	C₂²	1	2	yes	—
50	#14583256	C₂²	1	2	yes	—
51	#14583256	C₂²	1	2	yes	—
52	#14583256	C₂²	1	2	yes	complemented
53	#14583251	C₂²	1	2	yes	complemented
54	#14583247	C₂²	1	2	yes	—
55	#14583203	C₂²	1	2	yes	complemented
56	#14583203	C₂²	1	2	yes	complemented
57	#14583203	C₂²	1	2	yes	complemented
58	#14583203	C₂²	1	2	yes	complemented
59	#14583196	C₂²	1	2	yes	—
60	#14583196	C₂²	1	2	yes	—
61	#14583196	C₂²	1	2	yes	complemented
62	#14583196	C₂²	1	2	yes	complemented
63	#14583191	C₂²	1	2	yes	complemented
64	#14583186	C₂²	1	2	yes	—
65	#14583181	C₂²	1	2	yes	complemented
66	#14583176	C₂²	1	2	yes	—
67	#14583121	C₂²	1	2	yes	—
68	#14583121	C₂²	1	2	yes	—
69	#14583121	C₂²	1	2	yes	—
70	#14583121	C₂²	1	2	yes	complemented
71	#14583114	C₂²	1	2	yes	—
72	#14583114	C₂²	1	2	yes	—
73	#14583114	C₂²	1	2	yes	—
74	#14583114	C₂²	1	2	yes	complemented
75	#14583109	C₂²	1	2	yes	complemented
76	#14583104	C₂²	1	2	yes	complemented
77	#14583099	C₂²	1	2	yes	—
78	#14583094	C₂²	1	2	yes	—
79	#14583030	C₂²	1	2	yes	complemented
80	#14583030	C₂²	1	2	yes	complemented
81	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	complemented
82	Q₈×C₄₃⋊C₈	C₂²	1	2	yes	complemented
83	#14583009	C₂²	1	2	yes	—
84	#14583004	C₂²	1	2	yes	complemented
85	#14582999	C₂²	1	2	yes	complemented
86	#14582997	C₂²	1	2	yes	—
87	C₄×#10621885	C₂²	1	2	yes	complemented
88	C₄×#10621885	C₂²	1	1	yes	characteristic, complemented
89	C₄×#10621885	C₂²	1	1	yes	characteristic, complemented
90	C₄×#10621884	C₂²	1	2	yes	—
91	C₄×#10621884	C₂²	1	1	yes	characteristic, complemented
92	C₄×#10621884	C₂²	1	1	yes	characteristic, complemented
93	C₄×#10621883	C₂²	1	2	yes	complemented
94	C₄×#10621883	C₂²	1	1	yes	characteristic, complemented
95	C₄×#10621883	C₂²	1	1	yes	characteristic, complemented
96	C₄×#10621882	C₂²	1	2	yes	—
97	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
98	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
99	#14582939	C₂²	1	1	yes	characteristic
100	#14582939	C₂²	1	1	yes	characteristic
101	#14582935	C₂²	1	1	yes	characteristic
102	#14582926	C₂²	1	1	yes	characteristic
103	#14582926	C₂²	1	1	yes	characteristic
104	#14582923	C₂²	1	1	yes	characteristic
105	#14582907	C₂²	1	1	yes	characteristic
106	#14582903	C₂²	1	1	yes	characteristic
107	#14582898	C₂²	1	1	yes	characteristic
108	#14582898	C₂²	1	1	yes	characteristic
109	#14582895	C₂²	1	1	yes	characteristic
110	#14582893	C₂²	1	1	yes	characteristic
111	C₂×#13063248	C₂²	1	1	yes	characteristic
112	C₂×#13063248	C₂²	1	1	yes	characteristic
113	C₂×#13063245	C₂²	1	1	yes	characteristic
114	C₂×#13063245	C₂²	1	1	yes	characteristic
115	#14582855	C₂²	1	1	yes	characteristic
116	#14582855	C₂²	1	1	yes	characteristic
117	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
118	C₄₃×#557	C₂²	1	2	yes	complemented
119	C₄₃×#557	C₂²	1	2	yes	complemented
120	C₄₃×#554	—	2	2	no	—
121	C₄₃×#554	—	2	2	no	—
122	C₄₃×#554	C₂²	1	2	yes	complemented
123	C₄₃×#554	C₂²	1	2	yes	complemented
124	C₄₃×#544	—	2	1	no	—
125	C₄₃×#544	—	2	1	no	—
126	C₄₃×#544	C₂²	1	1	yes	characteristic
127	C₄₃×#544	C₂²	1	1	yes	characteristic
128	C₄₃×#533	—	2	1	no	—
129	C₄₃×#533	C₂²	1	1	yes	characteristic
130	C₂×#125×C₄₃	—	2	1	no	—
131	C₂×#125×C₄₃	C₂²	1	1	yes	characteristic
132	C₄₃×#520	C₂²	1	1	yes	characteristic
133	C₄₃×#520	C₂²	1	1	yes	characteristic
134	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
135	C₂×#10621898	C₂³	1	1	yes	characteristic
136	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
137	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
138	#13063355	—	2	4	no	—
139	#13063350	—	2	4	no	—
140	#13063345	—	2	4	no	—
141	C₂×#10621885	C₂³	1	1	yes	characteristic
142	C₂×#10621885	C₂³	1	2	yes	—
143	C₂×#10621883	C₂³	1	1	yes	characteristic
144	C₂×#10621883	C₂³	1	2	yes	—
145	C₂×#10621884	C₂³	1	1	yes	characteristic
146	C₂×#10621884	C₂³	1	2	yes	—
147	C₂×#10621882	C₂³	1	1	yes	characteristic
148	C₂×#10621882	C₂³	1	2	yes	—
149	C₂×#10621877	C₂³	1	1	yes	characteristic
150	C₂×#10621877	C₂³	1	1	yes	characteristic
151	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
152	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
153	#13063325	C₂³	1	2	yes	—
154	#13063322	C₂³	1	2	yes	—
155	#13063320	—	2	2	no	—
156	#13063320	—	2	2	no	—
157	#13063320	—	2	2	no	—
158	#13063320	—	2	2	no	—
159	#13063314	—	2	2	no	—
160	#13063314	—	2	2	no	—
161	#13063313	—	2	1	no	—
162	#13063313	—	2	1	no	—
163	#13063313	C₂³	1	2	yes	—
164	#13063313	C₂³	1	2	yes	—
165	#13063313	C₂³	1	2	yes	—
166	#13063313	C₂³	1	2	yes	—
167	#13063310	—	2	2	no	—
168	#13063310	—	2	2	no	—
169	#13063310	—	2	2	no	—
170	#13063310	—	2	2	no	—
171	#13063309	—	2	2	no	—
172	#13063305	—	2	1	no	—
173	#13063305	—	2	1	no	—
174	#13063301	—	2	2	no	—
175	#13063301	—	2	2	no	—
176	#13063300	—	2	1	no	—
177	#13063300	—	2	1	no	—
178	#13063295	—	2	2	no	—
179	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
180	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
181	C₄×Dic₈₆	C₂³	1	2	yes	—
182	C₄×Dic₈₆	C₂³	1	2	yes	—
183	#13063290	—	2	1	no	—
184	#13063290	—	2	1	no	—
185	C₄×D₁₇₂	C₂³	1	2	yes	—
186	C₄×D₁₇₂	C₂³	1	2	yes	—
187	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
188	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
189	#13063287	—	2	2	no	—
190	#13063287	—	2	2	no	—
191	#13063287	—	2	1	no	—
192	#13063287	—	2	1	no	—
193	C₄×C₂²⋊D₄₃	—	2	1	no	—
194	C₄×C₂²⋊D₄₃	—	2	1	no	—
195	#13063284	C₂³	1	1	yes	characteristic
196	#13063283	—	2	2	no	—
197	#13063283	—	2	2	no	—
198	#13063282	—	2	1	no	—
199	#13063281	—	2	2	no	—
200	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
201	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
202	C₂²⋊C₄×D₄₃	—	2	2	no	—
203	C₄²×D₄₃	—	2	1	no	—
204	#13063258	C₂³	1	1	yes	characteristic
205	#13063258	C₂³	1	2	yes	—
206	#13063258	C₂³	1	1	yes	characteristic
207	#13063258	C₂³	1	2	yes	—
208	#13063256	C₂³	1	1	yes	characteristic
209	#13063256	C₂³	1	2	yes	—
210	#13063256	C₂³	1	1	yes	characteristic
211	#13063256	C₂³	1	2	yes	—
212	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
213	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
214	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
215	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
216	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
217	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
218	#13063249	C₂³	1	1	yes	characteristic
219	#13063249	C₂³	1	1	yes	characteristic
220	#13063248	C₂³	1	2	yes	—
221	#13063248	C₂³	1	2	yes	—
222	#13063248	C₂³	1	2	yes	—
223	#13063248	C₂³	1	2	yes	—
224	#13063248	C₂³	1	2	yes	—
225	#13063248	C₂³	1	2	yes	—
226	#13063248	C₂³	1	2	yes	—
227	#13063248	C₂³	1	2	yes	—
228	#13063248	C₂³	1	1	yes	characteristic
229	#13063248	C₂³	1	1	yes	characteristic
230	#13063246	C₂³	1	1	yes	characteristic
231	#13063246	C₂³	1	1	yes	characteristic
232	#13063245	C₂³	1	2	yes	—
233	#13063245	C₂³	1	2	yes	—
234	#13063245	C₂³	1	2	yes	—
235	#13063245	C₂³	1	2	yes	—
236	#13063245	C₂³	1	2	yes	—
237	#13063245	C₂³	1	2	yes	—
238	#13063245	C₂³	1	2	yes	—
239	#13063245	C₂³	1	2	yes	—
240	#13063245	C₂³	1	1	yes	characteristic
241	#13063245	C₂³	1	1	yes	characteristic
242	#13063236	C₂³	1	2	yes	—
243	#13063236	C₂³	1	2	yes	—
244	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
245	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
246	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
247	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
248	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
249	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
250	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₄₃	—	2	2	no	—
252	C₄⋊Q₈×C₄₃	—	2	2	no	—
253	C₄⋊Q₈×C₄₃	—	2	1	no	—
254	C₄⋊Q₈×C₄₃	—	2	1	no	—
255	C₄⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
256	C₄⋊Q₈×C₄₃	D₄	1	1	yes	characteristic
257	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
258	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
259	#125×C₄₃	—	2	1	no	—
260	#125×C₄₃	—	2	1	no	—
261	#125×C₄₃	—	2	2	no	—
262	#125×C₄₃	—	2	2	no	—
263	#125×C₄₃	—	2	2	no	—
264	#125×C₄₃	—	2	2	no	—
265	#125×C₄₃	—	2	1	no	—
266	#125×C₄₃	—	2	1	no	—
267	#125×C₄₃	D₄	1	1	yes	characteristic
268	#125×C₄₃	D₄	1	1	yes	characteristic
269	#125×C₄₃	C₂³	1	2	yes	—
270	#125×C₄₃	C₂³	1	2	yes	—
271	#125×C₄₃	C₂³	1	2	yes	—
272	#125×C₄₃	C₂³	1	2	yes	—
273	C₂²⋊Q₈×C₄₃	—	2	2	no	—
274	C₂²⋊Q₈×C₄₃	—	2	2	no	—
275	C₂²⋊Q₈×C₄₃	—	2	2	no	—
276	C₂²⋊Q₈×C₄₃	—	2	2	no	—
277	C₂²⋊Q₈×C₄₃	—	2	2	no	—
278	C₂²⋊Q₈×C₄₃	—	2	2	no	—
279	C₂²⋊Q₈×C₄₃	—	2	2	no	—
280	C₂²⋊Q₈×C₄₃	—	2	2	no	—
281	C₂²⋊Q₈×C₄₃	D₄	1	2	yes	—
282	C₂²⋊Q₈×C₄₃	D₄	1	2	yes	—
283	C₄×Q₈×C₄₃	—	2	2	no	—
284	C₄×Q₈×C₄₃	—	2	2	no	—
285	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
288	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
289	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
290	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
291	C₄×D₄×C₄₃	—	2	1	no	—
292	C₄×D₄×C₄₃	—	2	1	no	—
293	C₄×D₄×C₄₃	—	2	2	no	—
294	C₄×D₄×C₄₃	—	2	2	no	—
295	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
296	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
297	C₄×D₄×C₄₃	C₂³	1	2	yes	—
298	C₄×D₄×C₄₃	C₂³	1	2	yes	—
299	#117×C₄₃	—	2	1	no	—
300	#117×C₄₃	—	2	1	no	—
301	#117×C₄₃	—	2	1	no	—
302	#117×C₄₃	C₂³	1	1	yes	characteristic
303	#117×C₄₃	C₂³	1	1	yes	characteristic
304	#117×C₄₃	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
306	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
307	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
308	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
309	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
310	C₂×C₄⋊C₄×C₄₃	—	2	2	no	—
311	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₄₃	—	2	1	no	—
314	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
315	C₂³×D₄₃	—	2	1	no	—
316	#41×C₄₃	—	2	2	no	—
317	#41×C₄₃	#41	1	4	yes	—
318	C₂×Q₈×C₄₃	—	2	2	no	—
319	C₂×Q₈×C₄₃	—	2	2	no	—
320	C₂×Q₈×C₄₃	C₂×D₄	1	2	yes	—
321	C₂×Q₈×C₄₃	C₂×D₄	1	2	yes	—
322	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
323	C₂×D₄×C₄₃	—	2	1	no	—
324	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₄₃	—	2	1	no	—
326	C₂²×C₄×C₄₃	—	2	1	no	—
327	C₂²×C₄×C₄₃	—	2	1	no	—
328	C₂²×C₄×C₄₃	—	2	2	no	—
329	C₂²×C₄×C₄₃	—	2	2	no	—
330	C₂²×C₄×C₄₃	—	2	1	no	—
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
334	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
335	C₂×C₂²⋊D₄₃	—	2	1	no	—
336	C₂²×Dic₄₃	—	2	1	no	—
337	#10621898	—	2	2	no	—
338	#10621898	—	2	2	no	—
339	C₂×D₁₇₂	—	2	1	no	—
340	C₂×D₁₇₂	—	2	2	no	—
341	C₂×D₁₇₂	—	2	2	no	—
342	C₂×D₁₇₂	—	2	2	no	—
343	C₂×D₁₇₂	—	2	2	no	—
344	C₂×D₁₇₂	C₂⁴	1	2	yes	—
345	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
346	C₂×C₄×D₄₃	—	2	1	no	—
347	C₂×C₄×D₄₃	—	2	1	no	—
348	C₂×C₄×D₄₃	—	2	1	no	—
349	C₂×C₄×D₄₃	—	2	2	no	—
350	C₂×C₄×D₄₃	—	2	2	no	—
351	C₂×Dic₈₆	—	2	2	no	—
352	C₂×Dic₈₆	—	2	2	no	—
353	C₂×Dic₈₆	—	2	1	no	—
354	C₂×Dic₈₆	C₂⁴	1	2	yes	—
355	C₂×Dic₈₆	C₂⁴	1	1	yes	characteristic
356	C₄⋊C₄×C₄₃	—	2	2	no	—
357	C₄⋊C₄×C₄₃	—	2	2	no	—
358	C₄⋊C₄×C₄₃	—	2	1	no	—
359	C₄⋊C₄×C₄₃	—	2	1	no	—
360	C₄⋊C₄×C₄₃	—	2	2	no	—
361	C₄⋊C₄×C₄₃	—	2	2	no	—
362	C₄⋊C₄×C₄₃	—	2	2	no	—
363	C₄⋊C₄×C₄₃	—	2	2	no	—
364	C₄⋊C₄×C₄₃	—	2	2	no	—
365	C₄⋊C₄×C₄₃	—	2	2	no	—
366	C₄⋊C₄×C₄₃	—	2	2	no	—
367	C₄⋊C₄×C₄₃	—	2	2	no	—
368	C₄⋊C₄×C₄₃	—	2	1	no	—
369	C₄⋊C₄×C₄₃	—	2	1	no	—
370	C₄⋊C₄×C₄₃	—	2	2	no	—
371	C₄⋊C₄×C₄₃	—	2	2	no	—
372	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
373	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
374	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
375	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
376	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
377	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
378	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
379	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
380	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
381	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
382	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
383	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
384	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²⋊C₄×C₄₃	—	2	1	no	—
387	C₂²⋊C₄×C₄₃	—	2	1	no	—
388	C₂²⋊C₄×C₄₃	—	2	2	no	—
389	C₂²⋊C₄×C₄₃	—	2	2	no	—
390	C₂²⋊C₄×C₄₃	—	2	1	no	—
391	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
392	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
393	C₄²×C₄₃	—	2	1	no	—
394	C₄²×C₄₃	—	2	1	no	—
395	C₄²×C₄₃	—	2	1	no	—
396	C₄²×C₄₃	—	2	2	no	—
397	C₄²×C₄₃	—	2	2	no	—
398	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
399	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
400	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₄²×C₄₃	C₂⁴	1	2	yes	—
403	C₄²×C₄₃	C₂⁴	1	2	yes	—
404	C₂²⋊Dic₄₃	—	2	1	no	—
405	#10621885	—	2	2	no	—
406	#10621885	—	2	4	no	—
407	#10621884	—	2	2	no	—
408	#10621884	—	2	4	no	—
409	#10621883	—	2	2	no	—
410	#10621883	—	2	4	no	—
411	#10621882	—	2	2	no	—
412	#10621882	—	2	4	no	—
413	(C₂×D₄₃)⋊C₄	—	2	2	no	—
414	(C₂×D₄₃)⋊C₄	—	2	2	no	—
415	(C₂×D₄₃)⋊C₄	—	2	2	no	—
416	(C₂×D₄₃)⋊C₄	—	2	2	no	—
417	(C₂×D₄₃)⋊C₄	—	2	2	no	—
418	(C₂×D₄₃)⋊C₄	—	2	2	no	—
419	(C₂×D₄₃)⋊C₄	—	2	1	no	—
420	(C₂×D₄₃)⋊C₄	—	2	1	no	—
421	(C₂×D₄₃)⋊C₄	—	2	2	no	—
422	(C₂×D₄₃)⋊C₄	—	2	2	no	—
423	(C₂×D₄₃)⋊C₄	—	2	2	no	—
424	(C₂×D₄₃)⋊C₄	—	2	2	no	—
425	C₄⋊Dic₄₃	—	2	2	no	—
426	C₄⋊Dic₄₃	—	2	2	no	—
427	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
428	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
429	Dic₄₃⋊C₄	—	2	2	no	—
430	Dic₄₃⋊C₄	—	2	2	no	—
431	Dic₄₃⋊C₄	—	2	1	no	—
432	Dic₄₃⋊C₄	—	2	1	no	—
433	C₄×Dic₄₃	—	2	1	no	—
434	C₄×Dic₄₃	—	2	1	no	—
435	C₄×Dic₄₃	—	2	1	no	—
436	C₄×Dic₄₃	—	2	2	no	—
437	C₄×Dic₄₃	—	2	2	no	—
438	#10621877	—	2	2	no	—
439	#10621877	—	2	2	no	—
440	C₂×C₄₃⋊C₈	—	2	2	no	—
441	C₂×C₄₃⋊C₈	—	2	2	no	—
442	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
443	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
444	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
445	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
446	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
447	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
448	C₂³×C₄₃	—	2	1	no	—
449	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
450	C₂²×D₄₃	—	2	2	no	—
451	C₂²×D₄₃	—	2	1	no	—
452	C₂²×D₄₃	—	4	2	no	—
453	C₂²×D₄₃	—	8	1	no	—
454	C₂²×D₄₃	—	8	1	no	—
455	Q₈×C₄₃	—	2	1	no	—
456	Q₈×C₄₃	—	4	2	no	—
457	Q₈×C₄₃	—	4	2	no	—
458	Q₈×C₄₃	—	8	2	no	—
459	Q₈×C₄₃	—	8	2	no	—
460	Q₈×C₄₃	C₂×#41	1	2	yes	—
461	D₄×C₄₃	—	2	4	no	—
462	D₄×C₄₃	—	2	1	no	—
463	D₄×C₄₃	C₂×#41	1	2	yes	—
464	C₂×C₄×C₄₃	—	2	1	no	—
465	C₂×C₄×C₄₃	—	2	4	no	—
466	C₂×C₄×C₄₃	—	2	1	no	—
467	C₂×C₄×C₄₃	—	2	1	no	—
468	C₂×C₄×C₄₃	—	2	2	no	—
469	C₂×C₄×C₄₃	—	2	2	no	—
470	C₂×C₄×C₄₃	—	4	1	no	—
471	C₂×C₄×C₄₃	—	4	1	no	—
472	C₂×C₄×C₄₃	—	8	1	no	—
473	C₂×C₄×C₄₃	—	8	1	no	—
474	C₂×C₄×C₄₃	—	8	2	no	—
475	C₂×C₄×C₄₃	—	8	2	no	—
476	C₂×C₄×C₄₃	—	8	1	no	—
477	C₂×C₄×C₄₃	—	8	1	no	—
478	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
479	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
480	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
481	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
482	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
483	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
484	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
485	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
486	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
487	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
488	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
489	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
490	C₂²⋊D₄₃	—	4	2	no	—
491	C₂×Dic₄₃	—	2	1	no	—
492	C₂×Dic₄₃	—	2	1	no	—
493	C₂×Dic₄₃	—	2	1	no	—
494	C₂×Dic₄₃	—	2	2	no	—
495	C₂×Dic₄₃	—	4	2	no	—
496	D₁₇₂	—	2	2	no	—
497	D₁₇₂	—	2	1	no	—
498	D₁₇₂	—	2	2	no	—
499	D₁₇₂	—	2	1	no	—
500	D₁₇₂	—	4	2	no	—
501	D₁₇₂	—	8	2	no	—
502	D₁₇₂	—	8	2	no	—
503	C₄×D₄₃	—	4	2	no	—
504	C₄×D₄₃	—	8	1	no	—
505	C₄×D₄₃	—	8	1	no	—
506	C₄×D₄₃	—	8	2	no	—
507	C₄×D₄₃	—	8	2	no	—
508	Dic₈₆	—	2	2	no	—
509	Dic₈₆	—	2	1	no	—
510	Dic₈₆	—	2	2	no	—
511	Dic₈₆	—	2	1	no	—
512	Dic₈₆	—	4	2	no	—
513	C₄₃⋊C₈	—	2	1	no	—
514	C₄₃⋊C₈	—	2	1	no	—
515	C₄₃⋊C₈	—	2	2	no	—
516	C₄₃⋊C₈	—	2	2	no	—
517	C₄₃⋊C₈	—	2	1	no	—
518	C₄₃⋊C₈	—	2	1	no	—
519	#61331	—	43	1	no	maximal, Sylow
520	C₂²×C₄₃	—	2	1	no	—
521	C₂²×C₄₃	—	2	1	no	—
522	C₂²×C₄₃	—	2	2	no	—
523	C₂²×C₄₃	—	4	1	no	—
524	C₂²×C₄₃	—	4	1	no	—
525	C₂²×C₄₃	#548	1	2	yes	—
526	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
527	C₂×D₄₃	—	4	2	no	—
528	C₂×D₄₃	—	4	2	no	—
529	C₂×D₄₃	—	4	1	no	—
530	C₂×D₄₃	—	4	1	no	—
531	C₂×D₄₃	—	4	2	no	—
532	C₂×D₄₃	—	4	1	no	—
533	C₂×D₄₃	—	16	2	no	—
534	C₄×C₄₃	—	2	1	no	—
535	C₄×C₄₃	—	2	1	no	—
536	C₄×C₄₃	—	2	2	no	—
537	C₄×C₄₃	—	2	2	no	—
538	C₄×C₄₃	—	2	2	no	—
539	C₄×C₄₃	—	2	2	no	—
540	C₄×C₄₃	—	2	1	no	—
541	C₄×C₄₃	—	2	1	no	—
542	C₄×C₄₃	—	2	2	no	—
543	C₄×C₄₃	—	4	2	no	—
544	C₄×C₄₃	—	4	2	no	—
545	C₄×C₄₃	—	4	1	no	—
546	C₄×C₄₃	—	4	1	no	—
547	C₄×C₄₃	#548	1	2	yes	—
548	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
549	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
550	Dic₄₃	—	4	1	no	—
551	Dic₄₃	—	4	1	no	—
552	Dic₄₃	—	4	2	no	—
553	Dic₄₃	—	4	1	no	—
554	#3510	—	43	1	no	—
555	#3504	D₄₃	1	1	yes	characteristic, complemented
556	#3377	—	43	2	no	—
557	#3376	—	43	2	no	—
558	#3371	—	43	2	no	—
559	#3370	—	43	2	no	—
560	#3365	—	43	2	no	—
561	#3364	—	43	2	no	—
562	#3361	—	43	2	no	—
563	#3360	—	43	2	no	—
564	#3137	—	43	1	no	—
565	#3136	—	43	1	no	—
566	C₂×#488	—	43	1	no	—
567	#3082	—	43	1	no	—
568	#3081	—	43	1	no	—
569	#3080	—	43	1	no	—
570	#3046	—	43	1	no	—
571	#3045	—	43	1	no	—
572	#3040	—	43	1	no	—
573	#2960	—	43	1	no	—
574	#2947	—	43	1	no	—
575	#2946	—	43	1	no	—
576	C₄×#135	—	43	1	no	—
577	C₂×C₄₃	—	2	2	no	—
578	C₂×C₄₃	—	4	2	no	—
579	C₂×C₄₃	C₂×#548	1	1	yes	characteristic
580	C₂×C₄₃	#3584	1	1	yes	characteristic
581	C₂×C₄₃	#3584	1	1	yes	characteristic
582	D₄₃	—	8	1	no	—
583	D₄₃	—	8	2	no	—
584	C₂×#137	—	43	1	no	—
585	C₂×AGL(1,ℤ/8)	—	43	1	no	—
586	C₂×#135	—	43	1	no	—
587	#559	—	43	2	no	—
588	#559	—	43	2	no	—
589	#557	C₂×D₄₃	1	2	yes	complemented
590	#557	C₂×D₄₃	1	2	yes	complemented
591	#556	—	43	2	no	—
592	#556	—	43	2	no	—
593	#554	—	2	2	no	—
594	#554	—	2	2	no	—
595	#554	C₂×D₄₃	1	2	yes	complemented
596	#554	C₂×D₄₃	1	2	yes	complemented
597	#551	—	86	2	no	—
598	#551	—	86	2	no	—
599	#544	—	2	1	no	—
600	#544	—	2	1	no	—
601	#544	C₂×D₄₃	1	1	yes	characteristic
602	#544	C₂×D₄₃	1	1	yes	characteristic
603	#542	—	86	1	no	—
604	#542	—	86	1	no	—
605	#536	—	43	1	no	—
606	#535	—	43	1	no	—
607	#533	—	2	1	no	—
608	#533	C₂×D₄₃	1	1	yes	characteristic
609	#529	—	86	1	no	—
610	#529	—	86	1	no	—
611	C₂×#125	—	2	1	no	—
612	C₂×#125	C₂×D₄₃	1	1	yes	characteristic
613	C₂×#124	—	43	1	no	—
614	#520	C₂×D₄₃	1	1	yes	characteristic
615	#520	C₂×D₄₃	1	1	yes	characteristic
616	#519	—	43	1	no	—
617	#518	—	43	1	no	—
618	C₄×#41	—	43	1	no	—
619	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
620	#491	—	43	2	no	—
621	#490	—	43	2	no	—
622	#489	—	43	2	no	—
623	#489	—	43	2	no	—
624	#488	—	43	2	no	—
625	#488	—	43	2	no	—
626	#488	—	43	2	no	—
627	#488	—	43	2	no	—
628	#488	—	43	2	no	—
629	#488	—	43	2	no	—
630	#487	—	43	2	no	—
631	#486	—	43	2	no	—
632	#479	—	43	2	no	—
633	#479	—	43	2	no	—
634	#479	—	43	2	no	—
635	#479	—	43	2	no	—
636	#478	—	43	2	no	—
637	#478	—	43	2	no	—
638	#478	—	43	2	no	—
639	#478	—	43	2	no	—
640	#477	—	43	2	no	—
641	#476	—	43	2	no	—
642	#475	—	43	2	no	—
643	#474	—	43	2	no	—
644	#464	—	43	2	no	—
645	#464	—	43	2	no	—
646	#464	—	43	2	no	—
647	#464	—	43	2	no	—
648	#463	—	43	2	no	—
649	#463	—	43	2	no	—
650	#463	—	43	2	no	—
651	#463	—	43	2	no	—
652	#462	—	43	2	no	—
653	#461	—	43	2	no	—
654	#460	—	43	2	no	—
655	#459	—	43	2	no	—
656	#446	—	43	2	no	—
657	#446	—	43	2	no	—
658	C₈×Q₈	—	43	2	no	—
659	C₈×Q₈	—	43	2	no	—
660	#442	—	43	2	no	—
661	#441	—	43	2	no	—
662	#440	—	43	2	no	—
663	#440	—	43	2	no	—
664	C₄×Q₁₆	—	43	1	no	—
665	C₄×Q₁₆	—	43	2	no	—
666	C₄×Q₁₆	—	43	1	no	—
667	C₄×SD₁₆	—	43	2	no	—
668	C₄×SD₁₆	—	43	1	no	—
669	C₄×SD₁₆	—	43	1	no	—
670	C₄×SD₁₆	—	43	1	no	—
671	C₄×SD₁₆	—	43	2	no	—
672	C₄×SD₁₆	—	43	1	no	—
673	C₄×D₈	—	43	2	no	—
674	C₄×D₈	—	43	1	no	—
675	C₄×D₈	—	43	1	no	—
676	#428	—	43	1	no	—
677	#428	—	43	1	no	—
678	#427	—	43	1	no	—
679	#424	—	43	1	no	—
680	#424	—	43	1	no	—
681	#423	—	43	1	no	—
682	#419	—	43	1	no	—
683	#418	—	43	1	no	—
684	#417	—	43	1	no	—
685	#417	—	43	1	no	—
686	#416	—	43	1	no	—
687	#416	—	43	1	no	—
688	C₂×#103	—	43	1	no	—
689	C₂×#103	—	43	1	no	—
690	C₂×#102	—	43	1	no	—
691	C₂×#102	—	43	1	no	—
692	#405	—	43	1	no	—
693	#405	—	43	1	no	—
694	C₂×C₄×C₈	—	43	1	no	—
695	C₄₃	#61331	1	1	yes	characteristic, complemented, Sylow
696	C₂×#41	—	43	1	no	—
697	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
698	C₂²×Q₈	—	43	1	no	—
699	C₂²×D₄	—	43	1	no	—
700	#137	—	86	4	no	—
701	AGL(1,ℤ/8)	—	86	4	no	—
702	#135	—	86	4	no	—
703	C₂×Q₁₆	—	43	1	no	—
704	C₂×Q₁₆	—	43	2	no	—
705	C₂×SD₁₆	—	43	1	no	—
706	C₂×SD₁₆	—	43	2	no	—
707	C₂×SD₁₆	—	43	1	no	—
708	C₂×SD₁₆	—	43	2	no	—
709	C₂×D₈	—	43	1	no	—
710	C₂×D₈	—	43	2	no	—
711	C₂×M₁₆	—	43	1	no	—
712	C₂×M₁₆	—	43	1	no	—
713	C₂²×C₈	—	43	1	no	—
714	C₂²×C₈	—	43	1	no	—
715	C₄⋊Q₈	—	2	2	no	—
716	C₄⋊Q₈	—	2	2	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	—	43	2	no	—
720	C₄⋊Q₈	C₂²⋊D₄₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂²⋊D₄₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
723	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
724	#127	—	43	2	no	—
725	#126	—	86	2	no	—
726	#126	—	86	2	no	—
727	#126	—	86	2	no	—
728	#126	—	86	2	no	—
729	#125	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	2	no	—
735	#125	—	2	1	no	—
736	#125	—	2	1	no	—
737	#125	C₂²⋊D₄₃	1	1	yes	characteristic
738	#125	C₂²⋊D₄₃	1	1	yes	characteristic
739	#125	C₂²×D₄₃	1	2	yes	—
740	#125	C₂²×D₄₃	1	2	yes	—
741	#125	C₂²×D₄₃	1	2	yes	—
742	#125	C₂²×D₄₃	1	2	yes	—
743	#124	—	43	2	no	—
744	#124	—	43	2	no	—
745	#124	—	43	2	no	—
746	#124	—	43	2	no	—
747	#124	—	86	2	no	—
748	#124	—	86	2	no	—
749	#124	—	86	1	no	—
750	#124	—	86	1	no	—
751	#123	—	86	2	no	—
752	#123	—	86	2	no	—
753	#123	—	86	2	no	—
754	#123	—	86	2	no	—
755	#123	—	86	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	86	2	no	—
765	C₂²⋊Q₈	—	86	2	no	—
766	C₂²⋊Q₈	—	86	1	no	—
767	C₂²⋊Q₈	—	86	1	no	—
768	C₂²⋊Q₈	C₂²⋊D₄₃	1	2	yes	—
769	C₂²⋊Q₈	C₂²⋊D₄₃	1	2	yes	—
770	#121	—	86	1	no	—
771	#121	—	86	1	no	—
772	#120	—	86	2	no	—
773	C₄×Q₈	—	2	2	no	—
774	C₄×Q₈	—	2	2	no	—
775	C₄×Q₈	—	43	1	no	—
776	C₄×Q₈	—	43	1	no	—
777	C₄×Q₈	—	43	2	no	—
778	C₄×Q₈	—	43	2	no	—
779	C₄×Q₈	—	86	1	no	—
780	C₄×Q₈	—	86	1	no	—
781	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
782	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
783	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
784	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
785	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
786	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	43	1	no	—
792	C₄×D₄	—	43	1	no	—
793	C₄×D₄	—	43	2	no	—
794	C₄×D₄	—	43	2	no	—
795	C₄×D₄	—	86	1	no	—
796	C₄×D₄	—	86	1	no	—
797	C₄×D₄	—	86	1	no	—
798	C₄×D₄	—	86	1	no	—
799	C₄×D₄	—	86	2	no	—
800	C₄×D₄	—	86	2	no	—
801	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
802	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
803	C₄×D₄	C₂²×D₄₃	1	2	yes	—
804	C₄×D₄	C₂²×D₄₃	1	2	yes	—
805	#117	—	2	1	no	—
806	#117	—	2	1	no	—
807	#117	—	2	1	no	—
808	#117	—	43	1	no	—
809	#117	—	86	2	no	—
810	#117	—	86	2	no	—
811	#117	—	86	2	no	—
812	#117	—	86	1	no	—
813	#117	C₂²×D₄₃	1	1	yes	characteristic
814	#117	C₂²×D₄₃	1	1	yes	characteristic
815	#117	C₂²×D₄₃	1	1	yes	characteristic
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	—	2	1	no	—
818	C₂×C₄⋊C₄	—	2	1	no	—
819	C₂×C₄⋊C₄	—	2	1	no	—
820	C₂×C₄⋊C₄	—	2	2	no	—
821	C₂×C₄⋊C₄	—	2	2	no	—
822	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	—	86	1	no	—
825	C₂×C₂²⋊C₄	—	86	1	no	—
826	C₂×C₂²⋊C₄	—	86	2	no	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	—	86	1	no	—
829	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
830	#107	—	43	1	no	—
831	#107	—	43	1	no	—
832	#107	—	43	2	no	—
833	#107	—	43	2	no	—
834	#106	—	43	1	no	—
835	#106	—	43	1	no	—
836	#106	—	43	2	no	—
837	#106	—	43	2	no	—
838	C₄⋊C₈	—	43	2	no	—
839	C₄⋊C₈	—	43	2	no	—
840	C₄⋊C₈	—	43	2	no	—
841	C₄⋊C₈	—	43	2	no	—
842	C₄⋊C₈	—	43	2	no	—
843	C₄⋊C₈	—	43	2	no	—
844	#103	—	43	1	no	—
845	#103	—	43	1	no	—
846	#103	—	43	2	no	—
847	#103	—	43	2	no	—
848	#103	—	43	2	no	—
849	#103	—	43	2	no	—
850	#103	—	43	1	no	—
851	#103	—	43	1	no	—
852	#103	—	43	2	no	—
853	#103	—	43	2	no	—
854	#103	—	43	2	no	—
855	#103	—	43	2	no	—
856	#102	—	43	1	no	—
857	#102	—	43	1	no	—
858	#102	—	43	2	no	—
859	#102	—	43	2	no	—
860	#102	—	43	2	no	—
861	#102	—	43	2	no	—
862	#102	—	43	1	no	—
863	#102	—	43	1	no	—
864	#102	—	43	2	no	—
865	#102	—	43	2	no	—
866	#102	—	43	2	no	—
867	#102	—	43	2	no	—
868	#97	—	43	2	no	—
869	#97	—	43	2	no	—
870	C₄×C₈	—	43	1	no	—
871	C₄×C₈	—	43	1	no	—
872	C₄×C₈	—	43	1	no	—
873	C₄×C₈	—	43	1	no	—
874	C₄×C₈	—	43	2	no	—
875	C₄×C₈	—	43	2	no	—
876	C₂⁴	—	86	1	no	—
877	#41	—	2	2	no	—
878	#41	—	86	2	no	—
879	#41	—	86	2	no	—
880	#41	#10621902	1	4	yes	—
881	C₂×Q₈	—	2	2	no	—
882	C₂×Q₈	—	2	2	no	—
883	C₂×Q₈	—	43	2	no	—
884	C₂×Q₈	—	43	1	no	—
885	C₂×Q₈	—	86	1	no	—
886	C₂×Q₈	—	86	2	no	—
887	C₂×Q₈	—	86	2	no	—
888	C₂×Q₈	C₂×C₂²⋊D₄₃	1	2	yes	—
889	C₂×Q₈	C₂×C₂²⋊D₄₃	1	2	yes	—
890	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	43	2	no	—
893	C₂×D₄	—	43	1	no	—
894	C₂×D₄	—	86	1	no	—
895	C₂×D₄	—	86	2	no	—
896	C₂×D₄	—	86	2	no	—
897	C₂×D₄	—	86	1	no	—
898	C₂×D₄	—	86	2	no	—
899	C₂×D₄	—	86	2	no	—
900	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	2	1	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	86	1	no	—
909	C₂²×C₄	—	86	1	no	—
910	C₂²×C₄	—	86	1	no	—
911	C₂²×C₄	—	86	2	no	—
912	C₂²×C₄	—	86	2	no	—
913	C₂²×C₄	—	86	1	no	—
914	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
915	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
916	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
917	Q₁₆	—	86	2	no	—
918	Q₁₆	—	86	4	no	—
919	SD₁₆	—	86	2	no	—
920	SD₁₆	—	86	4	no	—
921	SD₁₆	—	86	2	no	—
922	SD₁₆	—	86	4	no	—
923	D₈	—	86	2	no	—
924	D₈	—	86	4	no	—
925	M₁₆	—	86	2	no	—
926	M₁₆	—	86	2	no	—
927	C₂×C₈	—	43	1	no	—
928	C₂×C₈	—	43	1	no	—
929	C₂×C₈	—	43	1	no	—
930	C₂×C₈	—	43	1	no	—
931	C₂×C₈	—	43	2	no	—
932	C₂×C₈	—	43	2	no	—
933	C₂×C₈	—	86	2	no	—
934	C₂×C₈	—	86	2	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	43	1	no	—
952	C₄⋊C₄	—	43	1	no	—
953	C₄⋊C₄	—	86	1	no	—
954	C₄⋊C₄	—	86	1	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	C₂×C₂²⋊D₄₃	1	2	yes	—
960	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
961	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
962	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
963	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
966	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
967	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
968	C₄⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
969	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
970	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
971	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
972	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	86	1	no	—
979	C₂²⋊C₄	—	86	2	no	—
980	C₂²⋊C₄	—	86	2	no	—
981	C₂²⋊C₄	—	86	2	no	—
982	C₂²⋊C₄	—	86	2	no	—
983	C₂²⋊C₄	—	86	2	no	—
984	C₂²⋊C₄	—	86	2	no	—
985	C₂²⋊C₄	—	86	1	no	—
986	C₂²⋊C₄	—	86	1	no	—
987	C₂²⋊C₄	—	86	2	no	—
988	C₂²⋊C₄	—	86	2	no	—
989	C₂²⋊C₄	—	86	2	no	—
990	C₂²⋊C₄	—	86	2	no	—
991	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
992	C₂²⋊C₄	C₂×C₂²⋊D₄₃	1	2	yes	—
993	C₄²	—	2	1	no	—
994	C₄²	—	2	1	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	2	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	86	1	no	—
999	C₄²	—	86	1	no	—
1000	C₄²	—	86	1	no	—
1001	C₄²	—	86	2	no	—
1002	C₄²	—	86	2	no	—
1003	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1004	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
1005	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1006	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1007	C₄²	C₂³×D₄₃	1	2	yes	—
1008	C₄²	C₂³×D₄₃	1	2	yes	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	86	2	no	—
1011	C₂³	—	86	1	no	—
1012	C₂³	—	344	1	no	—
1013	C₂³	—	344	1	no	—
1014	C₂³	—	172	2	no	—
1015	C₂³	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1016	Q₈	—	2	1	no	—
1017	Q₈	—	4	2	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	8	2	no	—
1020	Q₈	—	8	2	no	—
1021	Q₈	—	86	2	no	—
1022	Q₈	—	86	1	no	—
1023	Q₈	—	86	2	no	—
1024	Q₈	—	86	1	no	—
1025	Q₈	—	172	2	no	—
1026	Q₈	C₂×#10621902	1	2	yes	—
1027	D₄	—	2	4	no	—
1028	D₄	—	2	1	no	—
1029	D₄	—	86	2	no	—
1030	D₄	—	86	1	no	—
1031	D₄	—	86	2	no	—
1032	D₄	—	86	1	no	—
1033	D₄	—	344	2	no	—
1034	D₄	—	344	2	no	—
1035	D₄	—	172	2	no	—
1036	D₄	—	172	2	no	—
1037	D₄	C₂×#10621902	1	2	yes	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	4	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	4	1	no	—
1045	C₂×C₄	—	4	1	no	—
1046	C₂×C₄	—	8	1	no	—
1047	C₂×C₄	—	8	1	no	—
1048	C₂×C₄	—	8	2	no	—
1049	C₂×C₄	—	8	2	no	—
1050	C₂×C₄	—	8	1	no	—
1051	C₂×C₄	—	8	1	no	—
1052	C₂×C₄	—	86	1	no	—
1053	C₂×C₄	—	86	1	no	—
1054	C₂×C₄	—	86	2	no	—
1055	C₂×C₄	—	86	1	no	—
1056	C₂×C₄	—	344	1	no	—
1057	C₂×C₄	—	344	1	no	—
1058	C₂×C₄	—	344	2	no	—
1059	C₂×C₄	—	344	2	no	—
1060	C₂×C₄	—	172	2	no	—
1061	C₂×C₄	—	172	2	no	—
1062	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1063	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1064	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1065	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1066	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1067	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1068	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1069	C₂×C₄	C₂²×C₂²⋊D₄₃	1	2	yes	—
1070	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
1071	C₂×C₄	C₂×#10621902	1	2	yes	—
1072	C₂×C₄	#13063373	1	2	yes	—
1073	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1074	C₈	—	86	1	no	—
1075	C₈	—	86	1	no	—
1076	C₈	—	86	2	no	—
1077	C₈	—	86	2	no	—
1078	C₈	—	86	1	no	—
1079	C₈	—	86	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	172	1	no	—
1086	C₂²	—	172	2	no	—
1087	C₂²	—	172	1	no	—
1088	C₂²	—	172	1	no	—
1089	C₂²	—	172	2	no	—
1090	C₂²	—	172	2	no	—
1091	C₂²	—	688	2	no	—
1092	C₂²	#14583560	1	2	yes	—
1093	C₂²	C₂³×C₂²⋊D₄₃	1	1	yes	characteristic
1094	C₄	—	2	2	no	—
1095	C₄	—	2	1	no	—
1096	C₄	—	2	1	no	—
1097	C₄	—	2	1	no	—
1098	C₄	—	2	1	no	—
1099	C₄	—	2	2	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	2	no	—
1102	C₄	—	2	2	no	—
1103	C₄	—	4	2	no	—
1104	C₄	—	4	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	172	1	no	—
1108	C₄	—	172	2	no	—
1109	C₄	—	172	1	no	—
1110	C₄	—	172	1	no	—
1111	C₄	#14583560	1	2	yes	—
1112	C₄	C₂²×#10621902	1	1	yes	characteristic
1113	C₄	C₂×#13063373	1	1	yes	characteristic
1114	C₂	—	2	2	no	—
1115	C₂	—	4	2	no	—
1116	C₂	—	344	2	no	—
1117	C₂	—	344	1	no	—
1118	C₂	C₂×#14583560	1	1	yes	characteristic
1119	C₂	#19149366	1	1	yes	characteristic
1120	C₂	#19149366	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3504	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	#19144134	C₂
hypercenter	#3504	D₄₃
hypocenter	C₄₃	#61331
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #533 ◁ #3504

Complements

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

N	H ≅ G/N	type
1. #19148493	C₂	semidirect
2. #19147437	C₂	semidirect
3. #19147422	C₂	semidirect
4. #19147363	C₂	semidirect
5. #19147348	C₂	semidirect
6. #19147291	C₂	semidirect
7. #19147280	C₂	semidirect
8. #19147255	C₂	semidirect
9. #19147244	C₂	semidirect
10. #19144965	C₂	semidirect
11. #19144954	C₂	semidirect
12. C₂×#14583256	C₂	semidirect
13. #19144431	C₂	semidirect
14. #19144420	C₂	semidirect
15. #19144413	C₂	semidirect
16. #19144145	C₂	semidirect
18. #19144089	C₂	semidirect
19. #19143530	C₂	semidirect
20. #19143434	C₂	semidirect
21. #19143423	C₂	semidirect
22. C₄×#13063345	C₂	semidirect
23. C₄₃×#3504	C₂	semidirect
43. #14583269	C₂²	semidirect
46. #14583261	C₂²	semidirect
52. #14583256	C₂²	semidirect
53. #14583251	C₂²	semidirect
55. #14583203	C₂²	semidirect
56. #14583203	C₂²	semidirect
57. #14583203	C₂²	semidirect
58. #14583203	C₂²	semidirect
61. #14583196	C₂²	semidirect
62. #14583196	C₂²	semidirect
63. #14583191	C₂²	semidirect
65. #14583181	C₂²	semidirect
70. #14583121	C₂²	semidirect
74. #14583114	C₂²	semidirect
75. #14583109	C₂²	semidirect
76. #14583104	C₂²	semidirect
79. #14583030	C₂²	semidirect
80. #14583030	C₂²	semidirect
81. Q₈×C₄₃⋊C₈	C₂²	semidirect
82. Q₈×C₄₃⋊C₈	C₂²	semidirect
84. #14583004	C₂²	semidirect
85. #14582999	C₂²	semidirect
87. C₄×#10621885	C₂²	semidirect
88. C₄×#10621885	C₂²	semidirect
89. C₄×#10621885	C₂²	semidirect
91. C₄×#10621884	C₂²	semidirect
92. C₄×#10621884	C₂²	semidirect
93. C₄×#10621883	C₂²	semidirect
94. C₄×#10621883	C₂²	semidirect
95. C₄×#10621883	C₂²	semidirect
97. C₄×#10621882	C₂²	semidirect
98. C₄×#10621882	C₂²	semidirect
118. C₄₃×#557	C₂²	semidirect
119. C₄₃×#557	C₂²	semidirect
122. C₄₃×#554	C₂²	semidirect
123. C₄₃×#554	C₂²	semidirect
555. #3504	D₄₃	semidirect
589. #557	C₂×D₄₃	semidirect
590. #557	C₂×D₄₃	semidirect
595. #554	C₂×D₄₃	semidirect
596. #554	C₂×D₄₃	semidirect
695. C₄₃	#61331	semidirect

Maximal subgroups

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

subgroup	index
#19148493	2
#19147437	2
#19147422	2
#19147363	2
#19147348	2
#19147291	2
#19147280	2
#19147255	2
#19147244	2
#19144965	2
#19144954	2
C₂×#14583256	2
#19144431	2
#19144420	2
#19144413	2
#19144145	2
#19144134	2
#19144089	2
#19143530	2
#19143434	2
#19143423	2
C₄×#13063345	2
C₄₃×#3504	2
#61331	43