Subgroups — #25966758

Order 11008.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19147986	C₂	1	1	yes	maximal, characteristic, complemented
2	#540×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19145276	C₂	1	2	yes	maximal, complemented
4	#19145274	C₂	1	2	yes	maximal, complemented
5	#19145273	C₂	1	2	yes	maximal, complemented
6	#19145271	C₂	1	2	yes	maximal, complemented
7	#19145246	C₂	1	1	yes	maximal, characteristic, complemented
8	#19145245	C₂	1	1	yes	maximal, characteristic, complemented
9	#19145244	C₂	1	1	yes	maximal, characteristic, complemented
10	#19145239	C₂	1	1	yes	maximal, characteristic, complemented
11	#19145226	C₂	1	1	yes	maximal, characteristic, complemented
12	#19145224	C₂	1	1	yes	maximal, characteristic, complemented
13	#19145220	C₂	1	1	yes	maximal, characteristic, complemented
14	#19145143	C₂	1	1	yes	maximal, characteristic, complemented
15	#19145042	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144997	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144968	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144209	C₂	1	2	yes	maximal, complemented
19	#19144207	C₂	1	2	yes	maximal, complemented
20	C₄×#13063352	C₂	1	2	yes	maximal, complemented
21	#19143400	C₂	1	2	yes	maximal, complemented
22	#19143011	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3174	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063352	C₂²	1	2	yes	—
25	C₂×#13063352	C₂²	1	2	yes	—
26	C₂²×#10621872	C₂²	1	1	yes	characteristic
27	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
28	#14583522	C₂²	1	2	yes	complemented
29	#14583521	C₂²	1	2	yes	complemented
30	#14583510	C₂²	1	1	yes	characteristic, complemented
31	#14583505	C₂²	1	1	yes	characteristic
32	#14583505	C₂²	1	1	yes	characteristic, complemented
33	#14583504	C₂²	1	1	yes	characteristic
34	#14583504	C₂²	1	1	yes	characteristic, complemented
35	#14583503	C₂²	1	1	yes	characteristic
36	#14583502	C₂²	1	2	yes	—
37	#14583501	—	2	2	no	—
38	#14583500	C₂²	1	2	yes	—
39	#14583499	—	2	2	no	—
40	#14583497	—	2	2	no	—
41	#14583488	—	2	2	no	—
42	#14583455	C₂²	1	1	yes	characteristic
43	#14583450	C₂²	1	1	yes	characteristic
44	#127×D₄₃	C₂²	1	1	yes	characteristic
45	#14583434	—	2	2	no	—
46	#14583432	—	2	2	no	—
47	#125×D₄₃	C₂²	1	1	yes	characteristic
48	#14583412	C₂²	1	2	yes	—
49	#123×D₄₃	—	2	2	no	—
50	#121×D₄₃	—	2	2	no	—
51	#121×D₄₃	C₂²	1	2	yes	—
52	C₄×#10621902	C₂²	1	2	yes	—
53	C₄×D₄×D₄₃	C₂²	1	2	yes	—
54	#117×D₄₃	C₂²	1	1	yes	characteristic
55	#14583307	C₂²	1	2	yes	complemented
56	#14583306	C₂²	1	2	yes	complemented
57	#14583301	C₂²	1	1	yes	characteristic, complemented
58	#14583298	C₂²	1	1	yes	characteristic, complemented
59	#14583298	C₂²	1	1	yes	characteristic, complemented
60	#14583285	C₂²	1	2	yes	complemented
61	#14583285	C₂²	1	2	yes	complemented
62	#14583276	C₂²	1	1	yes	characteristic, complemented
63	#14583275	C₂²	1	1	yes	characteristic, complemented
64	#14583273	C₂²	1	1	yes	characteristic, complemented
65	#14583267	C₂²	1	1	yes	characteristic, complemented
66	#14583265	C₂²	1	1	yes	characteristic, complemented
67	#14583265	C₂²	1	1	yes	characteristic, complemented
68	#14583264	C₂²	1	1	yes	characteristic, complemented
69	#14583264	C₂²	1	1	yes	characteristic, complemented
70	#14583263	C₂²	1	1	yes	characteristic, complemented
71	#14583255	C₂²	1	2	yes	complemented
72	#14583255	C₂²	1	2	yes	complemented
73	#14583244	C₂²	1	2	yes	complemented
74	#14583244	C₂²	1	2	yes	complemented
75	#14583153	C₂²	1	2	yes	complemented
76	#14583152	C₂²	1	2	yes	complemented
77	#14583151	C₂²	1	2	yes	complemented
78	#14583150	C₂²	1	2	yes	complemented
79	#14583148	C₂²	1	2	yes	complemented
80	#14583147	C₂²	1	2	yes	complemented
81	#14583142	C₂²	1	2	yes	complemented
82	#14583136	C₂²	1	2	yes	complemented
83	#14583135	C₂²	1	2	yes	complemented
84	#14583134	C₂²	1	2	yes	complemented
85	#14583133	C₂²	1	2	yes	complemented
86	#14583131	C₂²	1	2	yes	complemented
87	#14583130	C₂²	1	2	yes	complemented
88	#14583125	C₂²	1	2	yes	complemented
89	#14583012	C₂²	1	2	yes	complemented
90	#14583010	C₂²	1	2	yes	complemented
91	#14583009	C₂²	1	2	yes	complemented
92	#14583008	C₂²	1	2	yes	complemented
93	#14583002	C₂²	1	2	yes	complemented
94	#14583000	C₂²	1	2	yes	complemented
95	#14582997	C₂²	1	2	yes	complemented
96	SD₁₆×Dic₄₃	C₂²	1	2	yes	complemented
97	C₄×#10621884	C₂²	1	2	yes	complemented
98	#14582984	C₂²	1	2	yes	complemented
99	C₄×D₃₄₄	C₂²	1	2	yes	complemented
100	#14582981	C₂²	1	2	yes	complemented
101	C₄×#10621882	C₂²	1	2	yes	complemented
102	#14582979	C₂²	1	2	yes	complemented
103	#14582940	C₂²	1	2	yes	—
104	#14582938	C₂²	1	2	yes	—
105	#14582902	C₂²	1	2	yes	—
106	#14582902	C₂²	1	2	yes	—
107	#14582899	C₂²	1	2	yes	—
108	#14582899	C₂²	1	2	yes	—
109	#14582857	C₂²	1	1	yes	characteristic, complemented
110	#14582856	C₂²	1	1	yes	characteristic, complemented
111	#14582856	C₂²	1	1	yes	characteristic, complemented
112	#14582855	C₂²	1	1	yes	characteristic, complemented
113	#14582854	C₂²	1	1	yes	characteristic, complemented
114	#14582853	C₂²	1	1	yes	characteristic, complemented
115	#14582853	C₂²	1	1	yes	characteristic, complemented
116	#14582851	C₂²	1	1	yes	characteristic
117	#14582851	C₂²	1	1	yes	characteristic
118	C₄×#10621872	C₂²	1	1	yes	characteristic
119	C₄×#10621872	C₂²	1	1	yes	characteristic
120	C₄₃×#541	C₂²	1	1	yes	characteristic, complemented
121	C₄₃×#540	C₂²	1	1	yes	characteristic
122	C₄₃×#499	C₂²	1	1	yes	characteristic, complemented
123	C₄₃×#492	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#491	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#490	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#468	C₂²	1	2	yes	complemented
127	C₄₃×#465	C₂²	1	2	yes	complemented
128	C₄₃×#440	C₂²	1	2	yes	complemented
129	C₄×SD₁₆×C₄₃	C₂²	1	2	yes	complemented
130	C₄₃×#405	C₂²	1	1	yes	characteristic, complemented
131	C₂×#10621902	C₂³	1	2	yes	—
132	C₂×D₄×D₄₃	—	2	2	no	—
133	C₂×D₄×D₄₃	—	2	2	no	—
134	C₂×D₄×D₄₃	C₂³	1	2	yes	—
135	C₂²×C₄×D₄₃	—	2	2	no	—
136	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
137	#13063352	—	2	8	no	—
138	#13063352	—	2	8	no	—
139	C₂×#10621884	C₂³	1	2	yes	—
140	C₂×#10621884	C₂³	1	2	yes	—
141	C₂×D₃₄₄	C₂³	1	2	yes	—
142	C₂×D₃₄₄	C₂³	1	2	yes	—
143	C₂×#10621882	C₂³	1	2	yes	—
144	C₂×#10621882	C₂³	1	2	yes	—
145	C₂×#10621877	C₂³	1	1	yes	characteristic
146	C₂×#10621872	—	2	4	no	—
147	C₂×#10621872	C₂³	1	1	yes	characteristic
148	C₂×#10621872	C₂³	1	1	yes	characteristic
149	C₂×#10621872	C₂³	1	1	yes	characteristic
150	C₂×#10621872	C₂³	1	1	yes	characteristic
151	C₂×#10621872	C₂³	1	1	yes	characteristic
152	C₂×#10621872	C₂³	1	1	yes	characteristic
153	M₁₆×D₄₃	—	2	4	no	—
154	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
156	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
157	#13063324	C₂³	1	2	yes	—
158	#13063322	C₂³	1	1	yes	characteristic
159	#13063322	C₂³	1	1	yes	characteristic
160	#13063321	—	2	2	no	—
161	#13063321	C₂³	1	2	yes	—
162	#13063320	—	2	2	no	—
163	#13063320	—	2	2	no	—
164	#13063319	—	2	2	no	—
165	#13063317	C₂³	1	1	yes	characteristic
166	#13063317	C₂³	1	1	yes	characteristic
167	#13063316	C₂³	1	2	yes	—
168	#13063315	—	2	2	no	—
169	#13063315	—	2	2	no	—
170	#13063314	C₂³	1	2	yes	—
171	#13063313	—	2	2	no	—
172	#13063311	—	2	2	no	—
173	#13063310	—	2	2	no	—
174	#13063310	—	2	2	no	—
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	#13063308	—	2	2	no	—
181	#13063307	—	2	2	no	—
182	#13063307	—	2	2	no	—
183	#13063307	—	2	2	no	—
184	#13063306	—	2	2	no	—
185	#13063305	—	2	2	no	—
186	#13063303	—	2	2	no	—
187	#13063303	—	2	2	no	—
188	#13063301	C₂³	1	2	yes	—
189	#13063300	—	2	2	no	—
190	#13063300	—	2	2	no	—
191	#13063300	—	2	2	no	—
192	#13063300	C₂³	1	2	yes	—
193	#13063300	C₂³	1	2	yes	—
194	#13063299	—	2	2	no	—
195	#13063299	C₂³	1	2	yes	—
196	#13063299	C₂³	1	2	yes	—
197	#13063298	—	2	2	no	—
198	#13063298	—	2	2	no	—
199	#13063298	—	2	2	no	—
200	#13063298	—	2	2	no	—
201	#13063297	—	2	2	no	—
202	#13063297	—	2	2	no	—
203	#13063297	—	2	2	no	—
204	#13063296	—	2	2	no	—
205	#13063296	C₂³	1	2	yes	—
206	#13063295	—	2	2	no	—
207	Q₈×Dic₄₃	C₂³	1	2	yes	—
208	#13063290	—	2	2	no	—
209	C₄×D₁₇₂	—	2	2	no	—
210	C₄×D₁₇₂	C₂³	1	2	yes	—
211	C₄×D₁₇₂	C₂³	1	2	yes	—
212	D₄×Dic₄₃	C₂³	1	2	yes	—
213	#13063287	—	2	2	no	—
214	#13063287	—	2	2	no	—
215	#13063287	—	2	2	no	—
216	#13063287	C₂³	1	2	yes	—
217	#13063287	C₂³	1	2	yes	—
218	C₄×C₂²⋊D₄₃	—	2	2	no	—
219	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
221	#13063284	C₂³	1	1	yes	characteristic
222	#13063283	—	2	2	no	—
223	#13063283	D₄	1	2	yes	—
224	#13063283	C₂³	1	2	yes	—
225	#13063282	C₂³	1	1	yes	characteristic
226	#13063282	C₂³	1	1	yes	characteristic
227	#13063281	D₄	1	2	yes	—
228	C₄⋊C₄×D₄₃	—	2	2	no	—
229	C₄⋊C₄×D₄₃	D₄	1	2	yes	—
230	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
231	C₂²⋊C₄×D₄₃	—	2	2	no	—
232	C₂²⋊C₄×D₄₃	—	2	2	no	—
233	C₂²⋊C₄×D₄₃	D₄	1	2	yes	—
234	C₄²×D₄₃	—	2	2	no	—
235	C₄²×D₄₃	C₂³	1	1	yes	characteristic
236	C₄²×D₄₃	C₂³	1	1	yes	characteristic
237	#13063259	C₂³	1	2	yes	—
238	#13063258	C₂³	1	2	yes	—
239	#13063258	C₂³	1	2	yes	—
240	#13063257	C₂³	1	2	yes	—
241	#13063256	C₂³	1	2	yes	—
242	#13063256	C₂³	1	2	yes	—
243	#13063249	C₂³	1	2	yes	—
244	#13063249	C₂³	1	2	yes	—
245	#13063247	C₂³	1	2	yes	—
246	#13063247	C₂³	1	2	yes	—
247	#13063247	C₂³	1	2	yes	—
248	#13063247	C₂³	1	2	yes	—
249	#13063246	C₂³	1	2	yes	—
250	#13063246	C₂³	1	2	yes	—
251	#13063245	C₂³	1	2	yes	—
252	#13063245	C₂³	1	2	yes	—
253	#13063245	C₂³	1	2	yes	—
254	#13063245	C₂³	1	2	yes	—
255	#13063236	C₂³	1	1	yes	characteristic
256	#13063236	C₂³	1	1	yes	characteristic
257	#13063235	C₂³	1	1	yes	characteristic
258	#13063235	C₂³	1	1	yes	characteristic
259	#13063235	C₂³	1	1	yes	characteristic
260	#13063235	C₂³	1	1	yes	characteristic
261	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
262	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
263	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
264	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
265	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
266	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	—
268	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	—
269	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
271	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
272	#127×C₄₃	C₂³	1	1	yes	characteristic
273	#126×C₄₃	—	2	2	no	—
274	#125×C₄₃	—	2	2	no	—
275	#125×C₄₃	C₂³	1	1	yes	characteristic
276	#125×C₄₃	C₂³	1	1	yes	characteristic
277	#123×C₄₃	—	2	2	no	—
278	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
279	#121×C₄₃	—	2	2	no	—
280	#121×C₄₃	C₂³	1	2	yes	—
281	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
282	C₄×D₄×C₄₃	C₂³	1	2	yes	—
283	#117×C₄₃	C₂³	1	1	yes	characteristic
284	#107×C₄₃	C₂³	1	2	yes	—
285	#106×C₄₃	C₂³	1	2	yes	—
286	#103×C₄₃	C₂³	1	2	yes	—
287	#103×C₄₃	C₂³	1	2	yes	—
288	#102×C₄₃	C₂³	1	2	yes	—
289	#102×C₄₃	C₂³	1	2	yes	—
290	#97×C₄₃	C₂³	1	1	yes	characteristic
291	#97×C₄₃	C₂³	1	1	yes	characteristic
292	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
293	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
294	C₂³×D₄₃	—	2	2	no	—
295	C₂³×D₄₃	C₂×D₄	1	1	yes	characteristic
296	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
297	C₂×D₄×C₄₃	—	2	2	no	—
298	C₂×D₄×C₄₃	—	2	2	no	—
299	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₄₃	—	2	2	no	—
301	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
302	C₂×C₂²⋊D₄₃	—	2	2	no	—
303	C₂×C₂²⋊D₄₃	—	2	2	no	—
304	C₂×C₂²⋊D₄₃	—	2	2	no	—
305	C₂×C₂²⋊D₄₃	—	2	2	no	—
306	C₂×C₂²⋊D₄₃	—	2	2	no	—
307	C₂×C₂²⋊D₄₃	—	2	2	no	—
308	C₂²×Dic₄₃	—	2	2	no	—
309	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
310	#10621902	—	2	4	no	—
311	#10621902	—	2	4	no	—
312	D₄×D₄₃	—	2	4	no	—
313	D₄×D₄₃	—	2	4	no	—
314	D₄×D₄₃	—	8	4	no	—
315	D₄×D₄₃	—	8	4	no	—
316	C₂×D₁₇₂	—	2	2	no	—
317	C₂×D₁₇₂	—	2	2	no	—
318	C₂×D₁₇₂	—	2	2	no	—
319	C₂×D₁₇₂	—	2	2	no	—
320	C₂×D₁₇₂	—	2	2	no	—
321	C₂×D₁₇₂	C₂⁴	1	2	yes	—
322	C₂×D₁₇₂	C₂⁴	1	2	yes	—
323	C₂×C₄×D₄₃	—	2	2	no	—
324	C₂×C₄×D₄₃	—	2	2	no	—
325	C₂×C₄×D₄₃	—	2	2	no	—
326	C₂×C₄×D₄₃	—	2	2	no	—
327	C₂×C₄×D₄₃	—	2	2	no	—
328	C₂×C₄×D₄₃	—	2	2	no	—
329	C₂×C₄×D₄₃	—	2	2	no	—
330	C₂×C₄×D₄₃	—	2	2	no	—
331	C₂×C₄×D₄₃	—	8	4	no	—
332	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
333	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
334	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
335	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
336	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
337	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
338	C₂×Dic₈₆	—	2	2	no	—
339	SD₁₆×C₄₃	—	2	4	no	—
340	SD₁₆×C₄₃	—	2	4	no	—
341	M₁₆×C₄₃	—	2	2	no	—
342	C₂×C₈×C₄₃	—	2	2	no	—
343	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
344	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
345	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
346	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
347	C₄⋊C₄×C₄₃	—	2	2	no	—
348	C₄⋊C₄×C₄₃	—	2	2	no	—
349	C₄⋊C₄×C₄₃	—	2	2	no	—
350	C₄⋊C₄×C₄₃	—	2	2	no	—
351	C₄⋊C₄×C₄₃	—	2	2	no	—
352	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
353	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
354	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
355	C₂²⋊C₄×C₄₃	—	2	2	no	—
356	C₂²⋊C₄×C₄₃	—	2	2	no	—
357	C₂²⋊C₄×C₄₃	—	2	2	no	—
358	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
359	C₄²×C₄₃	—	2	2	no	—
360	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₂²⋊Dic₄₃	—	2	2	no	—
363	C₂²⋊Dic₄₃	—	2	2	no	—
364	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
365	#10621884	—	2	4	no	—
366	#10621884	—	2	4	no	—
367	#10621882	—	2	4	no	—
368	#10621882	—	2	4	no	—
369	(C₂×D₄₃)⋊C₄	—	2	2	no	—
370	(C₂×D₄₃)⋊C₄	—	2	2	no	—
371	(C₂×D₄₃)⋊C₄	—	2	2	no	—
372	(C₂×D₄₃)⋊C₄	—	2	2	no	—
373	(C₂×D₄₃)⋊C₄	—	2	2	no	—
374	(C₂×D₄₃)⋊C₄	—	2	2	no	—
375	(C₂×D₄₃)⋊C₄	—	2	2	no	—
376	(C₂×D₄₃)⋊C₄	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
382	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
383	C₄⋊Dic₄₃	—	2	2	no	—
384	C₄⋊Dic₄₃	—	2	2	no	—
385	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
386	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
387	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
388	Dic₄₃⋊C₄	—	2	2	no	—
389	Dic₄₃⋊C₄	—	2	2	no	—
390	Dic₄₃⋊C₄	—	2	2	no	—
391	Dic₄₃⋊C₄	—	2	2	no	—
392	Dic₄₃⋊C₄	—	2	2	no	—
393	Dic₄₃⋊C₄	—	2	2	no	—
394	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
395	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
396	C₄×Dic₄₃	—	2	2	no	—
397	C₄×Dic₄₃	—	2	2	no	—
398	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
399	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
400	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
401	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
402	#10621877	—	2	2	no	—
403	C₂×C₄₃⋊C₈	—	2	2	no	—
404	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
405	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
406	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
407	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
408	D₃₄₄	—	2	4	no	—
409	D₃₄₄	—	2	4	no	—
410	#10621872	—	2	2	no	—
411	#10621872	—	2	2	no	—
412	#10621872	—	2	2	no	—
413	#10621872	—	2	2	no	—
414	#10621872	#41	1	4	yes	—
415	#10621872	#41	1	4	yes	—
416	C₈×D₄₃	—	2	2	no	—
417	C₈×D₄₃	—	2	2	no	—
418	C₂³×C₄₃	—	2	2	no	—
419	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
420	C₂²×D₄₃	—	2	2	no	—
421	C₂²×D₄₃	—	2	2	no	—
422	C₂²×D₄₃	—	2	2	no	—
423	C₂²×D₄₃	—	4	2	no	—
424	C₂²×D₄₃	—	4	4	no	—
425	C₂²×D₄₃	—	4	4	no	—
426	C₂²×D₄₃	—	4	4	no	—
427	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
428	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
429	Q₈×C₄₃	—	2	2	no	—
430	Q₈×C₄₃	—	2	2	no	—
431	D₄×C₄₃	—	2	2	no	—
432	D₄×C₄₃	—	2	2	no	—
433	D₄×C₄₃	—	8	2	no	—
434	D₄×C₄₃	—	8	2	no	—
435	C₂×C₄×C₄₃	—	2	1	no	—
436	C₂×C₄×C₄₃	—	2	1	no	—
437	C₂×C₄×C₄₃	—	2	2	no	—
438	C₂×C₄×C₄₃	—	2	2	no	—
439	C₂×C₄×C₄₃	—	2	2	no	—
440	C₂×C₄×C₄₃	—	8	2	no	—
441	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
442	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
443	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
444	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
445	C₂²⋊D₄₃	—	4	4	no	—
446	C₂²⋊D₄₃	—	8	2	no	—
447	C₂²⋊D₄₃	—	8	2	no	—
448	C₂²⋊D₄₃	—	8	2	no	—
449	C₂²⋊D₄₃	—	8	2	no	—
450	C₂²⋊D₄₃	—	8	2	no	—
451	C₂×Dic₄₃	—	2	2	no	—
452	C₂×Dic₄₃	—	2	2	no	—
453	C₂×Dic₄₃	—	2	2	no	—
454	C₂×Dic₄₃	—	8	2	no	—
455	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
456	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
457	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
458	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
459	D₁₇₂	—	2	2	no	—
460	D₁₇₂	—	2	2	no	—
461	D₁₇₂	—	2	2	no	—
462	D₁₇₂	—	2	2	no	—
463	D₁₇₂	—	4	4	no	—
464	D₁₇₂	—	8	2	no	—
465	D₁₇₂	—	8	2	no	—
466	D₁₇₂	—	8	2	no	—
467	D₁₇₂	—	8	2	no	—
468	C₄×D₄₃	—	2	2	no	—
469	C₄×D₄₃	—	2	1	no	—
470	C₄×D₄₃	—	2	1	no	—
471	C₄×D₄₃	—	2	2	no	—
472	C₄×D₄₃	—	4	2	no	—
473	C₄×D₄₃	—	4	2	no	—
474	C₄×D₄₃	—	4	4	no	—
475	C₄×D₄₃	—	4	4	no	—
476	C₄×D₄₃	—	8	2	no	—
477	C₄×D₄₃	—	8	2	no	—
478	C₄×D₄₃	—	8	2	no	—
479	C₄×D₄₃	—	8	2	no	—
480	C₄×D₄₃	C₂×#41	1	2	yes	—
481	C₄×D₄₃	C₂×#41	1	2	yes	—
482	Dic₈₆	—	8	2	no	—
483	C₈×C₄₃	—	2	1	no	—
484	C₈×C₄₃	—	2	1	no	—
485	C₈×C₄₃	C₂×#41	1	2	yes	—
486	C₈×C₄₃	C₂×#41	1	2	yes	—
487	C₄₃⋊C₈	—	2	1	no	—
488	C₄₃⋊C₈	—	2	1	no	—
489	C₄₃⋊C₈	C₂×#41	1	2	yes	—
490	C₄₃⋊C₈	C₂×#41	1	2	yes	—
491	#60704	—	43	1	no	maximal, Sylow
492	C₂²×C₄₃	—	2	2	no	—
493	C₂²×C₄₃	—	2	1	no	—
494	C₂²×C₄₃	—	4	2	no	—
495	C₂²×C₄₃	—	4	2	no	—
496	C₂²×C₄₃	—	4	2	no	—
497	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
498	C₂×D₄₃	—	2	2	no	—
499	C₂×D₄₃	—	2	2	no	—
500	C₂×D₄₃	—	2	1	no	—
501	C₂×D₄₃	—	4	2	no	—
502	C₂×D₄₃	—	4	2	no	—
503	C₂×D₄₃	—	4	2	no	—
504	C₂×D₄₃	—	4	2	no	—
505	C₂×D₄₃	—	4	2	no	—
506	C₂×D₄₃	—	4	2	no	—
507	C₂×D₄₃	—	8	2	no	—
508	C₂×D₄₃	—	8	8	no	—
509	C₂×D₄₃	#532	1	2	yes	—
510	C₄×C₄₃	—	2	2	no	—
511	C₄×C₄₃	—	2	2	no	—
512	C₄×C₄₃	—	2	1	no	—
513	C₄×C₄₃	—	4	2	no	—
514	C₄×C₄₃	—	4	2	no	—
515	C₄×C₄₃	—	4	2	no	—
516	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
517	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
518	Dic₄₃	—	2	2	no	—
519	Dic₄₃	—	2	2	no	—
520	Dic₄₃	—	2	1	no	—
521	Dic₄₃	—	4	2	no	—
522	Dic₄₃	—	4	2	no	—
523	Dic₄₃	#532	1	2	yes	—
524	#3455	—	43	1	no	—
525	C₂×#540	—	43	1	no	—
526	#3179	—	43	2	no	—
527	#3179	—	43	2	no	—
528	#3179	—	43	2	no	—
529	#3179	—	43	2	no	—
530	#3176	—	43	1	no	—
531	#3176	—	43	1	no	—
532	#3176	—	43	1	no	—
533	#3176	—	43	1	no	—
534	#3174	—	43	1	no	—
535	#3174	—	43	1	no	—
536	#3174	—	43	1	no	—
537	#3174	D₄₃	1	1	yes	characteristic, complemented
538	#3166	—	43	1	no	—
539	#3151	—	43	1	no	—
540	#3142	—	43	1	no	—
541	#3138	—	43	1	no	—
542	#3055	—	43	2	no	—
543	#3055	—	43	2	no	—
544	C₄×AGL(1,ℤ/8)	—	43	2	no	—
545	C₄×AGL(1,ℤ/8)	—	43	2	no	—
546	#2873	—	43	1	no	—
547	C₂×C₄₃	—	4	1	no	—
548	C₂×C₄₃	—	8	2	no	—
549	C₂×C₄₃	C₂×#532	1	1	yes	characteristic
550	C₂×C₄₃	#3585	1	2	yes	—
551	D₄₃	—	2	2	no	—
552	D₄₃	—	4	1	no	—
553	D₄₃	—	8	2	no	—
554	D₄₃	—	8	2	no	—
555	C₂×AGL(1,ℤ/8)	—	43	2	no	—
556	C₂×AGL(1,ℤ/8)	—	43	2	no	—
557	C₂²×M₁₆	—	43	1	no	—
558	C₂²×M₁₆	—	43	1	no	—
559	#542	—	43	2	no	—
560	#542	—	43	2	no	—
561	#541	—	43	1	no	—
562	#541	C₂×D₄₃	1	1	yes	characteristic, complemented
563	#540	—	43	1	no	—
564	#540	—	43	1	no	—
565	#540	—	43	1	no	—
566	#540	—	43	2	no	—
567	#540	—	43	2	no	—
568	#540	—	43	1	no	—
569	#540	—	43	1	no	—
570	#540	—	86	2	no	—
571	#540	—	86	2	no	—
572	#540	C₂×D₄₃	1	1	yes	characteristic
573	#539	—	86	2	no	—
574	#538	—	86	2	no	—
575	#533	—	43	1	no	—
576	#532	—	43	1	no	—
577	C₂×#127	—	43	1	no	—
578	#529	—	86	2	no	—
579	#529	—	86	2	no	—
580	C₂×#125	—	43	1	no	—
581	#525	—	43	2	no	—
582	C₂×#123	—	86	2	no	—
583	C₂×#121	—	43	2	no	—
584	C₂×#121	—	86	2	no	—
585	C₄×#41	—	43	2	no	—
586	C₂×C₄×D₄	—	43	2	no	—
587	C₂×#117	—	43	1	no	—
588	#501	—	43	2	no	—
589	#501	—	43	2	no	—
590	#499	—	43	1	no	—
591	#499	—	43	1	no	—
592	#499	—	43	1	no	—
593	#499	C₂×D₄₃	1	1	yes	characteristic, complemented
594	#496	—	43	2	no	—
595	#496	—	43	2	no	—
596	#493	—	43	1	no	—
597	#493	—	43	1	no	—
598	#492	—	43	1	no	—
599	#492	C₂×D₄₃	1	1	yes	characteristic, complemented
600	#491	—	43	1	no	—
601	#491	C₂×D₄₃	1	1	yes	characteristic, complemented
602	#490	—	43	1	no	—
603	#490	—	43	1	no	—
604	#490	—	43	1	no	—
605	#490	—	43	1	no	—
606	#490	—	43	1	no	—
607	#490	C₂×D₄₃	1	1	yes	characteristic, complemented
608	#488	—	43	2	no	—
609	#488	—	43	2	no	—
610	#486	—	43	2	no	—
611	#486	—	43	2	no	—
612	#469	—	43	2	no	—
613	#469	—	43	2	no	—
614	#469	—	43	2	no	—
615	#469	—	43	2	no	—
616	#468	—	43	2	no	—
617	#468	—	43	2	no	—
618	#468	—	43	2	no	—
619	#468	C₂×D₄₃	1	2	yes	complemented
620	#466	—	43	2	no	—
621	#466	—	43	2	no	—
622	#466	—	43	2	no	—
623	#466	—	43	2	no	—
624	#465	—	43	2	no	—
625	#465	—	43	2	no	—
626	#465	—	43	2	no	—
627	#465	C₂×D₄₃	1	2	yes	complemented
628	#442	—	43	2	no	—
629	#442	—	43	2	no	—
630	#442	—	43	2	no	—
631	#442	—	43	2	no	—
632	#440	—	43	2	no	—
633	#440	—	43	2	no	—
634	#440	—	43	2	no	—
635	#440	C₂×D₄₃	1	2	yes	complemented
636	C₄×SD₁₆	—	43	2	no	—
637	C₄×SD₁₆	—	43	2	no	—
638	C₄×SD₁₆	—	43	2	no	—
639	C₄×SD₁₆	C₂×D₄₃	1	2	yes	complemented
640	C₄×D₈	—	43	2	no	—
641	C₄×D₈	—	43	2	no	—
642	C₄×D₈	—	43	2	no	—
643	C₄×D₈	—	43	2	no	—
644	#428	—	43	2	no	—
645	#428	—	43	2	no	—
646	#418	—	43	2	no	—
647	#418	—	43	2	no	—
648	#417	—	43	2	no	—
649	#417	—	43	2	no	—
650	#405	—	43	1	no	—
651	#405	—	43	1	no	—
652	#405	—	43	1	no	—
653	#405	—	43	1	no	—
654	#405	—	43	1	no	—
655	#405	—	43	1	no	—
656	#405	—	43	1	no	—
657	#405	C₂×D₄₃	1	1	yes	characteristic, complemented
658	C₄×M₁₆	—	43	1	no	—
659	C₄×M₁₆	—	43	1	no	—
660	C₄×M₁₆	—	43	1	no	—
661	C₄×M₁₆	—	43	1	no	—
662	C₄₃	#60704	1	1	yes	characteristic, complemented, Sylow
663	C₂×#41	—	43	2	no	—
664	C₂²×D₄	—	43	2	no	—
665	C₂²×D₄	—	86	2	no	—
666	C₂²×D₄	—	86	2	no	—
667	C₂³×C₄	—	43	1	no	—
668	C₂³×C₄	—	86	2	no	—
669	AGL(1,ℤ/8)	—	86	8	no	—
670	AGL(1,ℤ/8)	—	86	8	no	—
671	C₂×SD₁₆	—	43	2	no	—
672	C₂×SD₁₆	—	43	2	no	—
673	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
674	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
675	C₂×D₈	—	43	2	no	—
676	C₂×D₈	—	43	2	no	—
677	C₂×D₈	—	43	2	no	—
678	C₂×D₈	—	43	2	no	—
679	C₂×M₁₆	—	43	1	no	—
680	C₂×M₁₆	—	43	1	no	—
681	C₂×M₁₆	—	43	1	no	—
682	C₂×M₁₆	—	43	1	no	—
683	C₂×M₁₆	—	43	1	no	—
684	C₂×M₁₆	—	43	1	no	—
685	C₂×M₁₆	—	43	1	no	—
686	C₂×M₁₆	—	86	4	no	—
687	C₂×M₁₆	—	86	4	no	—
688	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
689	C₂²×C₈	—	43	1	no	—
690	C₂²×C₈	—	43	1	no	—
691	C₂²×C₈	—	43	1	no	—
692	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
693	C₄⋊Q₈	—	43	2	no	—
694	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
695	#127	—	43	2	no	—
696	#127	—	43	1	no	—
697	#127	—	43	1	no	—
698	#127	—	86	2	no	—
699	#127	C₂²×D₄₃	1	1	yes	characteristic
700	#126	—	2	2	no	—
701	#126	—	86	2	no	—
702	#126	—	86	2	no	—
703	#126	—	86	2	no	—
704	#125	—	2	2	no	—
705	#125	—	43	2	no	—
706	#125	—	43	1	no	—
707	#125	—	43	1	no	—
708	#125	—	86	2	no	—
709	#125	—	86	2	no	—
710	#125	C₂²×D₄₃	1	1	yes	characteristic
711	#125	C₂²×D₄₃	1	1	yes	characteristic
712	#124	—	43	2	no	—
713	#124	—	86	2	no	—
714	#124	—	86	2	no	—
715	#123	—	2	2	no	—
716	#123	—	86	2	no	—
717	#123	—	86	2	no	—
718	#123	—	86	2	no	—
719	#123	—	86	2	no	—
720	#123	—	86	2	no	—
721	#123	—	86	2	no	—
722	#123	—	86	2	no	—
723	#123	—	86	2	no	—
724	#123	—	86	2	no	—
725	#123	—	86	2	no	—
726	#123	—	86	2	no	—
727	#123	—	86	2	no	—
728	C₂²⋊Q₈	—	43	2	no	—
729	C₂²⋊Q₈	—	86	2	no	—
730	C₂²⋊Q₈	—	86	2	no	—
731	C₂²⋊Q₈	—	86	2	no	—
732	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
733	#121	—	2	2	no	—
734	#121	—	43	2	no	—
735	#121	—	43	2	no	—
736	#121	—	43	2	no	—
737	#121	—	43	2	no	—
738	#121	—	43	2	no	—
739	#121	—	86	2	no	—
740	#121	—	86	2	no	—
741	#121	—	86	2	no	—
742	#121	—	86	2	no	—
743	#121	—	86	2	no	—
744	#121	—	86	2	no	—
745	#121	—	86	2	no	—
746	#121	—	86	2	no	—
747	#121	—	86	2	no	—
748	#121	—	86	2	no	—
749	#121	—	86	2	no	—
750	#121	—	86	2	no	—
751	#121	C₂²×D₄₃	1	2	yes	—
752	#120	—	86	2	no	—
753	C₄×Q₈	—	43	2	no	—
754	C₄×Q₈	—	86	2	no	—
755	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
756	C₄×D₄	—	43	2	no	—
757	C₄×D₄	—	43	2	no	—
758	C₄×D₄	—	43	2	no	—
759	C₄×D₄	—	43	2	no	—
760	C₄×D₄	—	43	2	no	—
761	C₄×D₄	—	86	2	no	—
762	C₄×D₄	—	86	2	no	—
763	C₄×D₄	—	86	2	no	—
764	C₄×D₄	—	86	2	no	—
765	C₄×D₄	—	86	2	no	—
766	C₄×D₄	—	86	2	no	—
767	C₄×D₄	—	86	2	no	—
768	C₄×D₄	C₂²×D₄₃	1	2	yes	—
769	#117	—	43	1	no	—
770	#117	—	43	2	no	—
771	#117	—	43	2	no	—
772	#117	—	43	1	no	—
773	#117	—	43	1	no	—
774	#117	—	43	2	no	—
775	#117	—	86	2	no	—
776	#117	C₂²×D₄₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	—	43	2	no	—
778	C₂×C₄⋊C₄	—	43	2	no	—
779	C₂×C₄⋊C₄	—	86	2	no	—
780	C₂×C₂²⋊C₄	—	43	2	no	—
781	C₂×C₂²⋊C₄	—	86	2	no	—
782	C₂×C₂²⋊C₄	—	86	2	no	—
783	C₂×C₄²	—	43	1	no	—
784	C₂×C₄²	—	43	1	no	—
785	C₂×C₄²	—	86	2	no	—
786	#107	—	43	2	no	—
787	#107	—	43	2	no	—
788	#107	—	43	2	no	—
789	#107	C₂²×D₄₃	1	2	yes	—
790	#106	—	43	2	no	—
791	#106	—	43	2	no	—
792	#106	—	43	2	no	—
793	#106	C₂²×D₄₃	1	2	yes	—
794	#103	—	43	2	no	—
795	#103	—	43	2	no	—
796	#103	C₂²×D₄₃	1	2	yes	—
797	#103	C₂²×D₄₃	1	2	yes	—
798	#102	—	43	2	no	—
799	#102	—	43	2	no	—
800	#102	—	43	2	no	—
801	#102	—	43	2	no	—
802	#102	—	43	2	no	—
803	#102	—	43	2	no	—
804	#102	—	43	2	no	—
805	#102	—	43	2	no	—
806	#102	—	43	2	no	—
807	#102	—	43	2	no	—
808	#102	C₂²×D₄₃	1	2	yes	—
809	#102	C₂²×D₄₃	1	2	yes	—
810	#97	—	43	1	no	—
811	#97	—	43	1	no	—
812	#97	—	43	1	no	—
813	#97	—	43	1	no	—
814	#97	—	43	1	no	—
815	#97	—	43	1	no	—
816	#97	C₂²×D₄₃	1	1	yes	characteristic
817	#97	C₂²×D₄₃	1	1	yes	characteristic
818	C₄×C₈	—	43	1	no	—
819	C₄×C₈	—	43	1	no	—
820	C₄×C₈	—	43	1	no	—
821	C₄×C₈	—	43	1	no	—
822	C₄×C₈	—	43	1	no	—
823	C₄×C₈	—	43	1	no	—
824	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
825	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
826	C₂⁴	—	43	1	no	—
827	C₂⁴	—	86	2	no	—
828	#41	—	86	4	no	—
829	#41	—	86	4	no	—
830	C₂×Q₈	—	86	2	no	—
831	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
832	C₂×D₄	—	2	2	no	—
833	C₂×D₄	—	2	2	no	—
834	C₂×D₄	—	43	2	no	—
835	C₂×D₄	—	43	2	no	—
836	C₂×D₄	—	86	2	no	—
837	C₂×D₄	—	86	2	no	—
838	C₂×D₄	—	86	2	no	—
839	C₂×D₄	—	86	4	no	—
840	C₂×D₄	—	86	4	no	—
841	C₂×D₄	—	86	2	no	—
842	C₂×D₄	—	86	2	no	—
843	C₂×D₄	—	86	2	no	—
844	C₂×D₄	—	86	2	no	—
845	C₂×D₄	—	86	2	no	—
846	C₂×D₄	—	86	2	no	—
847	C₂×D₄	—	86	2	no	—
848	C₂×D₄	—	86	2	no	—
849	C₂×D₄	—	344	4	no	—
850	C₂×D₄	—	344	4	no	—
851	C₂×D₄	C₂³×D₄₃	1	2	yes	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	43	1	no	—
854	C₂²×C₄	—	43	1	no	—
855	C₂²×C₄	—	43	1	no	—
856	C₂²×C₄	—	43	1	no	—
857	C₂²×C₄	—	43	1	no	—
858	C₂²×C₄	—	43	2	no	—
859	C₂²×C₄	—	43	2	no	—
860	C₂²×C₄	—	86	2	no	—
861	C₂²×C₄	—	86	2	no	—
862	C₂²×C₄	—	86	2	no	—
863	C₂²×C₄	—	86	2	no	—
864	C₂²×C₄	—	86	2	no	—
865	C₂²×C₄	—	86	2	no	—
866	C₂²×C₄	—	86	2	no	—
867	C₂²×C₄	—	86	2	no	—
868	C₂²×C₄	—	86	2	no	—
869	C₂²×C₄	—	344	4	no	—
870	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
871	SD₁₆	—	2	4	no	—
872	SD₁₆	—	2	4	no	—
873	SD₁₆	—	86	4	no	—
874	SD₁₆	—	86	4	no	—
875	D₈	—	86	4	no	—
876	D₈	—	86	4	no	—
877	D₈	—	86	4	no	—
878	D₈	—	86	4	no	—
879	M₁₆	—	2	2	no	—
880	M₁₆	—	43	4	no	—
881	M₁₆	—	43	4	no	—
882	M₁₆	—	86	2	no	—
883	M₁₆	—	86	2	no	—
884	M₁₆	—	86	2	no	—
885	M₁₆	—	86	2	no	—
886	M₁₆	—	86	2	no	—
887	C₂×C₈	—	2	2	no	—
888	C₂×C₈	—	43	1	no	—
889	C₂×C₈	—	43	1	no	—
890	C₂×C₈	—	43	1	no	—
891	C₂×C₈	—	43	1	no	—
892	C₂×C₈	—	86	2	no	—
893	C₂×C₈	—	86	2	no	—
894	C₂×C₈	—	86	2	no	—
895	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
896	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
897	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
898	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
899	C₄⋊C₄	—	2	2	no	—
900	C₄⋊C₄	—	2	2	no	—
901	C₄⋊C₄	—	2	2	no	—
902	C₄⋊C₄	—	2	2	no	—
903	C₄⋊C₄	—	2	2	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	2	no	—
909	C₄⋊C₄	—	86	2	no	—
910	C₄⋊C₄	—	86	2	no	—
911	C₄⋊C₄	—	86	2	no	—
912	C₄⋊C₄	—	86	2	no	—
913	C₄⋊C₄	—	86	2	no	—
914	C₄⋊C₄	—	86	2	no	—
915	C₄⋊C₄	—	86	2	no	—
916	C₄⋊C₄	—	86	2	no	—
917	C₄⋊C₄	D₄×D₄₃	1	2	yes	—
918	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
919	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
920	C₂²⋊C₄	—	2	2	no	—
921	C₂²⋊C₄	—	2	2	no	—
922	C₂²⋊C₄	—	2	2	no	—
923	C₂²⋊C₄	—	43	2	no	—
924	C₂²⋊C₄	—	43	2	no	—
925	C₂²⋊C₄	—	43	2	no	—
926	C₂²⋊C₄	—	86	2	no	—
927	C₂²⋊C₄	—	86	2	no	—
928	C₂²⋊C₄	—	86	2	no	—
929	C₂²⋊C₄	—	86	2	no	—
930	C₂²⋊C₄	—	86	2	no	—
931	C₂²⋊C₄	—	86	2	no	—
932	C₂²⋊C₄	—	86	2	no	—
933	C₂²⋊C₄	—	86	2	no	—
934	C₂²⋊C₄	—	86	2	no	—
935	C₂²⋊C₄	—	86	2	no	—
936	C₂²⋊C₄	—	86	2	no	—
937	C₂²⋊C₄	—	86	2	no	—
938	C₂²⋊C₄	—	86	2	no	—
939	C₂²⋊C₄	—	86	2	no	—
940	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
941	C₄²	—	2	2	no	—
942	C₄²	—	43	2	no	—
943	C₄²	—	43	2	no	—
944	C₄²	—	43	1	no	—
945	C₄²	—	43	1	no	—
946	C₄²	—	86	2	no	—
947	C₄²	—	86	2	no	—
948	C₄²	C₂³×D₄₃	1	1	yes	characteristic
949	C₄²	C₂³×D₄₃	1	1	yes	characteristic
950	C₂³	—	2	2	no	—
951	C₂³	—	43	1	no	—
952	C₂³	—	43	1	no	—
953	C₂³	—	86	2	no	—
954	C₂³	—	86	2	no	—
955	C₂³	—	86	2	no	—
956	C₂³	—	172	2	no	—
957	C₂³	—	172	4	no	—
958	C₂³	—	172	4	no	—
959	C₂³	—	172	4	no	—
960	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
961	Q₈	—	2	2	no	—
962	Q₈	—	2	2	no	—
963	Q₈	—	344	2	no	—
964	D₄	—	2	2	no	—
965	D₄	—	2	2	no	—
966	D₄	—	8	2	no	—
967	D₄	—	8	2	no	—
968	D₄	—	86	2	no	—
969	D₄	—	86	2	no	—
970	D₄	—	86	2	no	—
971	D₄	—	86	2	no	—
972	D₄	—	344	2	no	—
973	D₄	—	344	2	no	—
974	D₄	—	344	2	no	—
975	D₄	—	344	2	no	—
976	D₄	—	344	2	no	—
977	D₄	—	344	2	no	—
978	D₄	—	344	2	no	—
979	D₄	—	344	2	no	—
980	D₄	—	344	2	no	—
981	D₄	—	172	4	no	—
982	D₄	—	172	4	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	2	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	8	2	no	—
989	C₂×C₄	—	43	1	no	—
990	C₂×C₄	—	43	2	no	—
991	C₂×C₄	—	43	2	no	—
992	C₂×C₄	—	43	2	no	—
993	C₂×C₄	—	43	2	no	—
994	C₂×C₄	—	43	1	no	—
995	C₂×C₄	—	86	2	no	—
996	C₂×C₄	—	86	2	no	—
997	C₂×C₄	—	86	2	no	—
998	C₂×C₄	—	86	1	no	—
999	C₂×C₄	—	86	1	no	—
1000	C₂×C₄	—	86	2	no	—
1001	C₂×C₄	—	86	2	no	—
1002	C₂×C₄	—	344	2	no	—
1003	C₂×C₄	—	344	2	no	—
1004	C₂×C₄	—	344	2	no	—
1005	C₂×C₄	—	344	2	no	—
1006	C₂×C₄	—	344	2	no	—
1007	C₂×C₄	—	172	2	no	—
1008	C₂×C₄	—	172	2	no	—
1009	C₂×C₄	—	172	4	no	—
1010	C₂×C₄	—	172	4	no	—
1011	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1012	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1013	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1014	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1015	C₈	—	2	1	no	—
1016	C₈	—	2	1	no	—
1017	C₈	—	43	2	no	—
1018	C₈	—	43	2	no	—
1019	C₈	—	86	1	no	—
1020	C₈	—	86	1	no	—
1021	C₈	#41×D₄₃	1	2	yes	—
1022	C₈	#41×D₄₃	1	2	yes	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	1	no	—
1025	C₂²	—	4	2	no	—
1026	C₂²	—	4	2	no	—
1027	C₂²	—	4	2	no	—
1028	C₂²	—	43	2	no	—
1029	C₂²	—	86	2	no	—
1030	C₂²	—	86	2	no	—
1031	C₂²	—	86	1	no	—
1032	C₂²	—	344	2	no	—
1033	C₂²	—	344	8	no	—
1034	C₂²	—	172	2	no	—
1035	C₂²	—	172	2	no	—
1036	C₂²	—	172	2	no	—
1037	C₂²	—	172	2	no	—
1038	C₂²	—	172	2	no	—
1039	C₂²	—	172	2	no	—
1040	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1041	C₄	—	2	2	no	—
1042	C₄	—	2	2	no	—
1043	C₄	—	2	1	no	—
1044	C₄	—	4	2	no	—
1045	C₄	—	4	2	no	—
1046	C₄	—	4	2	no	—
1047	C₄	—	43	2	no	—
1048	C₄	—	86	2	no	—
1049	C₄	—	86	2	no	—
1050	C₄	—	86	1	no	—
1051	C₄	—	172	2	no	—
1052	C₄	—	172	2	no	—
1053	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1054	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1055	C₂	—	4	1	no	—
1056	C₂	—	8	2	no	—
1057	C₂	—	86	2	no	—
1058	C₂	—	344	2	no	—
1059	C₂	—	344	2	no	—
1060	C₂	—	172	1	no	—
1061	C₂	#532×D₄₃	1	1	yes	characteristic
1062	C₂	#19149373	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3174	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3174	D₄₃
hypocenter	C₄₃	#60704
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3174

Complements

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

N	H ≅ G/N	type
1. #19147986	C₂	semidirect
2. #540×D₄₃	C₂	semidirect
3. #19145276	C₂	semidirect
4. #19145274	C₂	semidirect
5. #19145273	C₂	semidirect
6. #19145271	C₂	semidirect
7. #19145246	C₂	semidirect
8. #19145245	C₂	semidirect
9. #19145244	C₂	semidirect
10. #19145239	C₂	semidirect
11. #19145226	C₂	semidirect
12. #19145224	C₂	semidirect
13. #19145220	C₂	semidirect
14. #19145143	C₂	semidirect
15. #19145042	C₂	semidirect
16. #19144997	C₂	semidirect
17. #19144968	C₂	semidirect
18. #19144209	C₂	semidirect
19. #19144207	C₂	semidirect
20. C₄×#13063352	C₂	semidirect
21. #19143400	C₂	semidirect
22. #19143011	C₂	semidirect
23. C₄₃×#3174	C₂	semidirect
28. #14583522	C₂²	semidirect
29. #14583521	C₂²	semidirect
30. #14583510	C₂²	semidirect
32. #14583505	C₂²	semidirect
34. #14583504	C₂²	semidirect
55. #14583307	C₂²	semidirect
56. #14583306	C₂²	semidirect
57. #14583301	C₂²	semidirect
58. #14583298	C₂²	semidirect
59. #14583298	C₂²	semidirect
60. #14583285	C₂²	semidirect
61. #14583285	C₂²	semidirect
62. #14583276	C₂²	semidirect
63. #14583275	C₂²	semidirect
64. #14583273	C₂²	semidirect
65. #14583267	C₂²	semidirect
66. #14583265	C₂²	semidirect
67. #14583265	C₂²	semidirect
68. #14583264	C₂²	semidirect
69. #14583264	C₂²	semidirect
70. #14583263	C₂²	semidirect
71. #14583255	C₂²	semidirect
72. #14583255	C₂²	semidirect
73. #14583244	C₂²	semidirect
74. #14583244	C₂²	semidirect
75. #14583153	C₂²	semidirect
76. #14583152	C₂²	semidirect
77. #14583151	C₂²	semidirect
78. #14583150	C₂²	semidirect
79. #14583148	C₂²	semidirect
80. #14583147	C₂²	semidirect
81. #14583142	C₂²	semidirect
82. #14583136	C₂²	semidirect
83. #14583135	C₂²	semidirect
84. #14583134	C₂²	semidirect
85. #14583133	C₂²	semidirect
86. #14583131	C₂²	semidirect
87. #14583130	C₂²	semidirect
88. #14583125	C₂²	semidirect
89. #14583012	C₂²	semidirect
90. #14583010	C₂²	semidirect
91. #14583009	C₂²	semidirect
92. #14583008	C₂²	semidirect
93. #14583002	C₂²	semidirect
94. #14583000	C₂²	semidirect
95. #14582997	C₂²	semidirect
96. SD₁₆×Dic₄₃	C₂²	semidirect
97. C₄×#10621884	C₂²	semidirect
98. #14582984	C₂²	semidirect
99. C₄×D₃₄₄	C₂²	semidirect
100. #14582981	C₂²	semidirect
101. C₄×#10621882	C₂²	semidirect
102. #14582979	C₂²	semidirect
109. #14582857	C₂²	semidirect
110. #14582856	C₂²	semidirect
111. #14582856	C₂²	semidirect
112. #14582855	C₂²	semidirect
113. #14582854	C₂²	semidirect
114. #14582853	C₂²	semidirect
115. #14582853	C₂²	semidirect
120. C₄₃×#541	C₂²	semidirect
122. C₄₃×#499	C₂²	semidirect
123. C₄₃×#492	C₂²	semidirect
124. C₄₃×#491	C₂²	semidirect
125. C₄₃×#490	C₂²	semidirect
126. C₄₃×#468	C₂²	semidirect
127. C₄₃×#465	C₂²	semidirect
128. C₄₃×#440	C₂²	semidirect
129. C₄×SD₁₆×C₄₃	C₂²	semidirect
130. C₄₃×#405	C₂²	semidirect
537. #3174	D₄₃	semidirect
562. #541	C₂×D₄₃	semidirect
593. #499	C₂×D₄₃	semidirect
599. #492	C₂×D₄₃	semidirect
601. #491	C₂×D₄₃	semidirect
607. #490	C₂×D₄₃	semidirect
619. #468	C₂×D₄₃	semidirect
627. #465	C₂×D₄₃	semidirect
635. #440	C₂×D₄₃	semidirect
639. C₄×SD₁₆	C₂×D₄₃	semidirect
657. #405	C₂×D₄₃	semidirect
662. C₄₃	#60704	semidirect

Maximal subgroups

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

subgroup	index
#19147986	2
#540×D₄₃	2
#19145276	2
#19145274	2
#19145273	2
#19145271	2
#19145246	2
#19145245	2
#19145244	2
#19145239	2
#19145226	2
#19145224	2
#19145220	2
#19145143	2
#19145042	2
#19144997	2
#19144968	2
#19144209	2
#19144207	2
C₄×#13063352	2
#19143400	2
#19143011	2
C₄₃×#3174	2
#60704	43