Subgroups — #25966674

Order 11008.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1068 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148010	C₂	1	2	yes	maximal, complemented
2	#19145331	C₂	1	1	yes	maximal, characteristic, complemented
3	#19145328	C₂	1	1	yes	maximal, characteristic, complemented
4	#19145326	C₂	1	1	yes	maximal, characteristic, complemented
5	#19145319	C₂	1	1	yes	maximal, characteristic, complemented
6	#19145292	C₂	1	2	yes	maximal, complemented
7	#19145288	C₂	1	2	yes	maximal, complemented
8	#19145282	C₂	1	2	yes	maximal, complemented
9	#19145280	C₂	1	2	yes	maximal, complemented
10	#19145243	C₂	1	1	yes	maximal, characteristic, complemented
11	#19145212	C₂	1	1	yes	maximal, characteristic, complemented
12	#19145210	C₂	1	1	yes	maximal, characteristic, complemented
13	#19145124	C₂	1	1	yes	maximal, characteristic, complemented
14	#19145075	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144950	C₂	1	2	yes	maximal, complemented
16	#19144274	C₂	1	2	yes	maximal, complemented
17	#19144255	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144241	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063349	C₂	1	2	yes	maximal, complemented
20	#19143392	C₂	1	1	yes	maximal, characteristic, complemented
21	#442×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143022	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3176	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063349	C₂²	1	2	yes	—
25	C₂×#13063344	C₂²	1	1	yes	characteristic
26	C₂×D₈×D₄₃	C₂²	1	1	yes	characteristic
27	C₂×#13063333	C₂²	1	1	yes	characteristic
28	C₂×#13063331	C₂²	1	1	yes	characteristic
29	#14583529	C₂²	1	2	yes	—
30	#14583520	C₂²	1	2	yes	complemented
31	#14583517	—	2	2	no	—
32	#14583514	C₂²	1	2	yes	complemented
33	#14583500	C₂²	1	2	yes	complemented
34	#14583499	—	2	2	no	—
35	#14583485	—	2	2	no	—
36	#14583481	—	2	2	no	—
37	#14583478	C₂²	1	2	yes	—
38	#14583465	C₂²	1	2	yes	—
39	#14583462	C₂²	1	2	yes	—
40	#14583447	C₂²	1	2	yes	complemented
41	#14583444	—	2	2	no	—
42	#14583444	C₂²	1	2	yes	complemented
43	#14583434	C₂²	1	2	yes	complemented
44	#14583430	C₂²	1	2	yes	complemented
45	#14583426	—	2	2	no	—
46	#14583409	—	2	2	no	—
47	#14583407	—	2	2	no	—
48	#14583367	C₂²	1	1	yes	characteristic
49	C₄×#10621900	C₂²	1	2	yes	—
50	C₄×D₄×D₄₃	C₂²	1	2	yes	—
51	#14583309	C₂²	1	2	yes	complemented
52	#14583307	C₂²	1	2	yes	complemented
53	#14583299	C₂²	1	1	yes	characteristic, complemented
54	#14583297	C₂²	1	1	yes	characteristic, complemented
55	#14583296	C₂²	1	1	yes	characteristic, complemented
56	#14583287	C₂²	1	2	yes	—
57	#14583286	C₂²	1	2	yes	—
58	#14583283	C₂²	1	1	yes	characteristic
59	#14583282	C₂²	1	1	yes	characteristic
60	#14583274	C₂²	1	1	yes	characteristic
61	#14583262	C₂²	1	2	yes	complemented
62	#14583259	C₂²	1	2	yes	complemented
63	#14583257	C₂²	1	2	yes	complemented
64	#14583256	C₂²	1	2	yes	complemented
65	#14583252	C₂²	1	2	yes	complemented
66	#14583245	C₂²	1	2	yes	complemented
67	#14583244	C₂²	1	2	yes	complemented
68	#14583158	C₂²	1	1	yes	characteristic, complemented
69	#14583157	C₂²	1	1	yes	characteristic, complemented
70	#14583153	C₂²	1	1	yes	characteristic
71	#14583152	C₂²	1	1	yes	characteristic
72	#14583150	C₂²	1	2	yes	complemented
73	#14583149	C₂²	1	1	yes	characteristic
74	#14583149	C₂²	1	1	yes	characteristic, complemented
75	#14583149	C₂²	1	2	yes	complemented
76	#14583146	C₂²	1	2	yes	complemented
77	#14583143	C₂²	1	2	yes	complemented
78	#14583134	C₂²	1	2	yes	—
79	#14583134	C₂²	1	2	yes	complemented
80	#14583133	C₂²	1	2	yes	—
81	#14583128	C₂²	1	2	yes	complemented
82	#14583127	C₂²	1	2	yes	complemented
83	#14583127	C₂²	1	2	yes	complemented
84	#14583126	C₂²	1	2	yes	complemented
85	#14583012	C₂²	1	1	yes	characteristic
86	#14583011	C₂²	1	1	yes	characteristic
87	#14583011	C₂²	1	2	yes	complemented
88	#14583011	C₂²	1	1	yes	characteristic, complemented
89	#14583010	C₂²	1	1	yes	characteristic
90	#14583009	C₂²	1	2	yes	—
91	#14583008	C₂²	1	2	yes	—
92	#14583008	C₂²	1	2	yes	complemented
93	#14583007	C₂²	1	1	yes	characteristic, complemented
94	#14583005	C₂²	1	1	yes	characteristic, complemented
95	#14582999	C₂²	1	2	yes	complemented
96	#14582998	C₂²	1	2	yes	complemented
97	#14582996	C₂²	1	2	yes	complemented
98	#14582996	C₂²	1	2	yes	complemented
99	C₄×#10621873	C₂²	1	2	yes	complemented
100	C₄×#10621883	C₂²	1	2	yes	complemented
101	C₄×#10621882	C₂²	1	2	yes	complemented
102	#14582940	C₂²	1	2	yes	—
103	#14582934	C₂²	1	1	yes	characteristic
104	#106×D₄₃	C₂²	1	1	yes	characteristic
105	#14582902	C₂²	1	2	yes	—
106	#14582897	C₂²	1	2	yes	—
107	#14582892	C₂²	1	2	yes	—
108	#102×D₄₃	C₂²	1	2	yes	—
109	#14582856	C₂²	1	1	yes	characteristic
110	#14582856	C₂²	1	1	yes	characteristic, complemented
111	#14582855	C₂²	1	1	yes	characteristic, complemented
112	#14582853	C₂²	1	1	yes	characteristic
113	#14582853	C₂²	1	1	yes	characteristic, complemented
114	M₁₆×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
115	C₄×#10621872	C₂²	1	1	yes	characteristic
116	C₄×#10621872	C₂²	1	1	yes	characteristic, complemented
117	C₂×#13063235	C₂²	1	1	yes	characteristic, complemented
118	#97×D₄₃	C₂²	1	1	yes	characteristic
119	#97×D₄₃	C₂²	1	1	yes	characteristic, complemented
120	C₄₃×#540	C₂²	1	2	yes	complemented
121	C₄₃×#499	C₂²	1	1	yes	characteristic, complemented
122	C₄₃×#493	C₂²	1	1	yes	characteristic
123	C₄₃×#490	C₂²	1	2	yes	complemented
124	C₄₃×#469	C₂²	1	1	yes	characteristic
125	C₄₃×#469	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#466	C₂²	1	2	yes	complemented
127	C₄₃×#442	C₂²	1	1	yes	characteristic
128	C₄₃×#442	C₂²	1	1	yes	characteristic, complemented
129	C₄×D₈×C₄₃	C₂²	1	2	yes	complemented
130	C₄₃×#405	C₂²	1	1	yes	characteristic, complemented
131	C₂×#10621898	C₂³	1	1	yes	characteristic
132	C₂×#10621900	—	2	2	no	—
133	C₂×#10621900	—	2	2	no	—
134	C₂×#10621900	C₂³	1	2	yes	—
135	C₂×D₄×D₄₃	C₂³	1	2	yes	—
136	C₂²×C₄×D₄₃	—	2	2	no	—
137	#13063349	—	2	8	no	—
138	#13063344	—	2	4	no	—
139	C₂×Dic₁₇₂	C₂³	1	1	yes	characteristic
140	C₂×#10621873	C₂³	1	2	yes	—
141	C₂×#10621883	C₂³	1	2	yes	—
142	C₂×#10621883	C₂³	1	2	yes	—
143	C₂×D₃₄₄	C₂³	1	1	yes	characteristic
144	C₂×#10621882	C₂³	1	2	yes	—
145	C₂×#10621882	C₂³	1	2	yes	—
146	D₈×D₄₃	—	2	4	no	—
147	#13063333	—	2	4	no	—
148	#13063331	—	2	4	no	—
149	C₂×#10621877	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	C₂×#10621872	C₂³	1	1	yes	characteristic
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	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
158	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
159	#13063325	C₂³	1	2	yes	—
160	#13063324	—	2	2	no	—
161	#13063324	C₂³	1	2	yes	—
162	#13063321	—	2	2	no	—
163	#13063321	C₂³	1	2	yes	—
164	#13063320	—	2	2	no	—
165	#13063320	—	2	2	no	—
166	#13063318	—	2	2	no	—
167	#13063318	—	2	2	no	—
168	#13063316	C₂³	1	2	yes	—
169	#13063315	—	2	2	no	—
170	#13063313	C₂³	1	2	yes	—
171	#13063312	—	2	2	no	—
172	#13063312	C₂³	1	2	yes	—
173	#13063311	—	2	2	no	—
174	#13063311	—	2	2	no	—
175	#13063311	—	2	2	no	—
176	#13063311	—	2	2	no	—
177	#13063310	—	2	2	no	—
178	#13063308	—	2	2	no	—
179	#13063308	—	2	2	no	—
180	#13063307	—	2	2	no	—
181	#13063307	—	2	2	no	—
182	#13063306	—	2	2	no	—
183	#13063305	—	2	2	no	—
184	#13063305	C₂³	1	2	yes	—
185	#13063304	—	2	2	no	—
186	#13063304	C₂³	1	2	yes	—
187	#13063303	—	2	2	no	—
188	#13063303	—	2	2	no	—
189	#13063302	—	2	2	no	—
190	#13063300	C₂³	1	2	yes	—
191	#13063299	—	2	2	no	—
192	#13063299	C₂³	1	2	yes	—
193	#13063298	—	2	2	no	—
194	#13063298	—	2	2	no	—
195	#13063297	—	2	2	no	—
196	#13063297	—	2	2	no	—
197	#13063297	—	2	2	no	—
198	#13063297	—	2	2	no	—
199	#13063296	—	2	2	no	—
200	#13063296	—	2	2	no	—
201	#13063296	C₂³	1	2	yes	—
202	#13063296	C₂³	1	2	yes	—
203	#13063295	—	2	2	no	—
204	#13063293	—	2	2	no	—
205	#13063293	—	2	2	no	—
206	#13063293	—	2	2	no	—
207	C₄×Dic₈₆	C₂³	1	2	yes	—
208	#13063290	D₄	1	2	yes	—
209	#13063290	C₂³	1	2	yes	—
210	C₄×D₁₇₂	C₂³	1	2	yes	—
211	D₄×Dic₄₃	—	2	2	no	—
212	D₄×Dic₄₃	—	2	2	no	—
213	D₄×Dic₄₃	C₂³	1	2	yes	—
214	D₄×Dic₄₃	C₂³	1	2	yes	—
215	#13063287	—	2	2	no	—
216	#13063287	D₄	1	2	yes	—
217	#13063287	C₂³	1	2	yes	—
218	C₄×C₂²⋊D₄₃	—	2	2	no	—
219	C₄×C₂²⋊D₄₃	—	2	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
221	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
222	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
223	(C₂²⋊D₄₃)⋊C₄	D₄	1	2	yes	—
224	(C₂²⋊D₄₃)⋊C₄	D₄	1	2	yes	—
225	#13063283	—	2	2	no	—
226	#13063283	C₂³	1	2	yes	—
227	#13063282	C₂³	1	1	yes	characteristic
228	#13063282	C₂³	1	1	yes	characteristic
229	#13063281	—	2	2	no	—
230	#13063281	—	2	2	no	—
231	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
232	C₂²⋊C₄×D₄₃	—	2	2	no	—
233	C₂×C₄×Dic₄₃	—	2	2	no	—
234	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
235	C₄²×D₄₃	C₂³	1	1	yes	characteristic
236	C₄²×D₄₃	C₂³	1	1	yes	characteristic
237	#13063258	C₂³	1	2	yes	—
238	#13063258	C₂³	1	2	yes	—
239	#13063257	C₂³	1	1	yes	characteristic
240	#13063257	C₂³	1	1	yes	characteristic
241	#13063257	C₂³	1	2	yes	—
242	#13063256	C₂³	1	2	yes	—
243	#13063256	C₂³	1	2	yes	—
244	#13063250	C₂³	1	2	yes	—
245	#13063250	C₂³	1	2	yes	—
246	#13063248	C₂³	1	2	yes	—
247	#13063248	C₂³	1	2	yes	—
248	#13063247	C₂³	1	2	yes	—
249	#13063247	C₂³	1	2	yes	—
250	#13063246	C₂³	1	2	yes	—
251	#13063246	C₂³	1	2	yes	—
252	#13063246	C₂³	1	2	yes	—
253	#13063246	C₂³	1	2	yes	—
254	#13063245	C₂³	1	2	yes	—
255	#13063245	C₂³	1	2	yes	—
256	#13063236	C₂³	1	1	yes	characteristic
257	#13063236	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	#13063235	C₂³	1	1	yes	characteristic
262	#13063235	C₂³	1	1	yes	characteristic
263	#13063235	C₂³	1	1	yes	characteristic
264	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
265	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
266	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
267	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
268	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
269	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
270	C₂×D₈×C₄₃	C₂³	1	2	yes	—
271	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
273	#127×C₄₃	C₂³	1	2	yes	—
274	#125×C₄₃	C₂³	1	2	yes	—
275	#123×C₄₃	—	2	2	no	—
276	#123×C₄₃	—	2	2	no	—
277	#121×C₄₃	—	2	2	no	—
278	#121×C₄₃	—	2	2	no	—
279	#121×C₄₃	C₂³	1	2	yes	—
280	#121×C₄₃	C₂³	1	2	yes	—
281	C₄×D₄×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	1	yes	characteristic
286	#106×C₄₃	C₂³	1	1	yes	characteristic
287	#102×C₄₃	C₂³	1	2	yes	—
288	#102×C₄₃	C₂³	1	2	yes	—
289	#102×C₄₃	C₂³	1	2	yes	—
290	#102×C₄₃	C₂³	1	2	yes	—
291	#97×C₄₃	C₂³	1	1	yes	characteristic
292	#97×C₄₃	C₂³	1	1	yes	characteristic
293	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
294	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
295	C₂³×D₄₃	—	2	2	no	—
296	C₂×D₄×C₄₃	—	2	2	no	—
297	C₂×D₄×C₄₃	—	2	2	no	—
298	C₂×D₄×C₄₃	—	2	2	no	—
299	C₂×D₄×C₄₃	—	2	2	no	—
300	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
301	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₄₃	—	2	2	no	—
303	C₂²×C₄×C₄₃	—	2	2	no	—
304	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
305	C₂×C₂²⋊D₄₃	—	2	2	no	—
306	C₂×C₂²⋊D₄₃	—	2	2	no	—
307	C₂×C₂²⋊D₄₃	—	2	2	no	—
308	C₂×C₂²⋊D₄₃	—	2	2	no	—
309	C₂×C₂²⋊D₄₃	—	2	2	no	—
310	C₂×C₂²⋊D₄₃	—	2	2	no	—
311	C₂×C₂²⋊D₄₃	—	2	2	no	—
312	C₂×C₂²⋊D₄₃	C₂×D₄	1	1	yes	characteristic
313	C₂×C₂²⋊D₄₃	C₂×D₄	1	1	yes	characteristic
314	C₂²×Dic₄₃	—	2	2	no	—
315	C₂²×Dic₄₃	—	2	2	no	—
316	C₂²×Dic₄₃	—	2	2	no	—
317	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
318	#10621900	—	2	4	no	—
319	#10621900	—	2	4	no	—
320	#10621900	—	8	4	no	—
321	#10621900	—	8	4	no	—
322	D₄×D₄₃	—	2	4	no	—
323	D₄×D₄₃	—	2	4	no	—
324	#10621898	—	2	2	no	—
325	#10621898	—	2	2	no	—
326	C₂×D₁₇₂	—	2	2	no	—
327	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
328	C₂×D₁₇₂	C₂⁴	1	2	yes	—
329	C₂×C₄×D₄₃	—	2	2	no	—
330	C₂×C₄×D₄₃	—	2	2	no	—
331	C₂×C₄×D₄₃	—	2	2	no	—
332	C₂×C₄×D₄₃	—	8	4	no	—
333	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
334	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
335	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
336	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
337	C₂×Dic₈₆	—	2	2	no	—
338	C₂×Dic₈₆	—	2	2	no	—
339	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
340	C₂×Dic₈₆	C₂⁴	1	2	yes	—
341	D₈×C₄₃	—	2	2	no	—
342	D₈×C₄₃	—	2	2	no	—
343	D₈×C₄₃	—	2	4	no	—
344	M₁₆×C₄₃	—	2	2	no	—
345	C₂×C₈×C₄₃	—	2	2	no	—
346	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
347	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
348	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
349	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
359	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
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	—	2	2	no	—
365	C₂²⋊Dic₄₃	—	2	2	no	—
366	C₂²⋊Dic₄₃	—	2	2	no	—
367	C₂²⋊Dic₄₃	—	2	2	no	—
368	C₂²⋊Dic₄₃	—	2	2	no	—
369	#10621883	—	2	4	no	—
370	#10621883	—	2	4	no	—
371	#10621882	—	2	4	no	—
372	#10621882	—	2	4	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	—	2	2	no	—
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	—	2	2	no	—
399	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
400	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
401	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
402	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
403	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
404	#10621877	—	2	2	no	—
405	C₂×C₄₃⋊C₈	—	2	2	no	—
406	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
407	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
408	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
409	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
410	Dic₁₇₂	—	2	2	no	—
411	D₃₄₄	—	2	2	no	—
412	#10621873	—	2	4	no	—
413	#10621872	—	2	2	no	—
414	#10621872	—	2	2	no	—
415	#10621872	—	2	2	no	—
416	#10621872	#41	1	4	yes	complemented
417	C₈×D₄₃	—	2	2	no	—
418	C₈×D₄₃	—	2	2	no	—
419	C₈×D₄₃	—	2	2	no	—
420	C₈×D₄₃	#41	1	4	yes	complemented
421	C₂³×C₄₃	—	2	2	no	—
422	C₂³×C₄₃	—	2	2	no	—
423	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
424	C₂²×D₄₃	—	2	2	no	—
425	C₂²×D₄₃	—	4	4	no	—
426	C₂²×D₄₃	—	8	2	no	—
427	C₂²×D₄₃	—	8	2	no	—
428	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
429	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
430	D₄×C₄₃	—	2	2	no	—
431	D₄×C₄₃	—	2	2	no	—
432	D₄×C₄₃	—	2	2	no	—
433	D₄×C₄₃	—	2	2	no	—
434	D₄×C₄₃	—	8	2	no	—
435	D₄×C₄₃	—	8	2	no	—
436	D₄×C₄₃	—	8	2	no	—
437	D₄×C₄₃	—	8	2	no	—
438	C₂×C₄×C₄₃	—	2	1	no	—
439	C₂×C₄×C₄₃	—	2	1	no	—
440	C₂×C₄×C₄₃	—	2	2	no	—
441	C₂×C₄×C₄₃	—	2	2	no	—
442	C₂×C₄×C₄₃	—	8	2	no	—
443	C₂×C₄×C₄₃	—	8	2	no	—
444	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
445	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
446	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
447	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
448	C₂²⋊D₄₃	—	2	2	no	—
449	C₂²⋊D₄₃	—	2	2	no	—
450	C₂²⋊D₄₃	—	4	4	no	—
451	C₂²⋊D₄₃	—	4	4	no	—
452	C₂²⋊D₄₃	—	8	2	no	—
453	C₂²⋊D₄₃	—	8	2	no	—
454	C₂²⋊D₄₃	—	8	2	no	—
455	C₂²⋊D₄₃	—	8	2	no	—
456	C₂²⋊D₄₃	—	8	2	no	—
457	C₂×Dic₄₃	—	2	2	no	—
458	C₂×Dic₄₃	—	2	2	no	—
459	C₂×Dic₄₃	—	2	2	no	—
460	C₂×Dic₄₃	—	4	2	no	—
461	C₂×Dic₄₃	—	4	4	no	—
462	C₂×Dic₄₃	—	4	4	no	—
463	C₂×Dic₄₃	—	4	4	no	—
464	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
465	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
466	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
467	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
468	D₁₇₂	—	2	2	no	—
469	D₁₇₂	—	2	2	no	—
470	D₁₇₂	—	2	2	no	—
471	D₁₇₂	—	8	2	no	—
472	C₄×D₄₃	—	2	1	no	—
473	C₄×D₄₃	—	2	1	no	—
474	C₄×D₄₃	—	4	2	no	—
475	C₄×D₄₃	—	4	2	no	—
476	C₄×D₄₃	—	4	4	no	—
477	C₄×D₄₃	—	8	2	no	—
478	C₄×D₄₃	—	8	2	no	—
479	C₄×D₄₃	C₂×#41	1	2	yes	—
480	C₄×D₄₃	C₂×#41	1	2	yes	—
481	Dic₈₆	—	2	2	no	—
482	Dic₈₆	—	2	2	no	—
483	Dic₈₆	—	2	2	no	—
484	Dic₈₆	—	8	2	no	—
485	Dic₈₆	—	8	2	no	—
486	C₈×C₄₃	—	2	1	no	—
487	C₈×C₄₃	—	2	1	no	—
488	C₈×C₄₃	C₂×#41	1	2	yes	—
489	C₈×C₄₃	C₂×#41	1	2	yes	—
490	C₄₃⋊C₈	—	2	1	no	—
491	C₄₃⋊C₈	—	2	1	no	—
492	C₄₃⋊C₈	C₂×#41	1	2	yes	—
493	C₄₃⋊C₈	C₂×#41	1	2	yes	—
494	#60698	—	43	1	no	maximal, Sylow
495	C₂²×C₄₃	—	2	2	no	—
496	C₂²×C₄₃	—	2	1	no	—
497	C₂²×C₄₃	—	4	2	no	—
498	C₂²×C₄₃	—	4	2	no	—
499	C₂²×C₄₃	—	4	2	no	—
500	C₂²×C₄₃	—	4	2	no	—
501	C₂²×C₄₃	—	4	2	no	—
502	C₂²×C₄₃	—	4	2	no	—
503	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
504	C₂×D₄₃	—	2	2	no	—
505	C₂×D₄₃	—	2	2	no	—
506	C₂×D₄₃	—	2	1	no	—
507	C₂×D₄₃	—	4	2	no	—
508	C₂×D₄₃	—	4	2	no	—
509	C₂×D₄₃	—	4	2	no	—
510	C₂×D₄₃	—	8	8	no	—
511	C₂×D₄₃	#532	1	2	yes	—
512	C₄×C₄₃	—	2	2	no	—
513	C₄×C₄₃	—	2	2	no	—
514	C₄×C₄₃	—	2	1	no	—
515	C₄×C₄₃	—	4	2	no	—
516	C₄×C₄₃	—	4	2	no	—
517	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
518	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
519	Dic₄₃	—	2	2	no	—
520	Dic₄₃	—	2	2	no	—
521	Dic₄₃	—	2	1	no	—
522	Dic₄₃	—	4	2	no	—
523	Dic₄₃	—	4	2	no	—
524	Dic₄₃	—	4	2	no	—
525	Dic₄₃	#532	1	2	yes	—
526	#3460	—	43	2	no	—
527	#3184	—	43	1	no	—
528	#3184	—	43	1	no	—
529	#3183	—	43	1	no	—
530	#3183	—	43	1	no	—
531	#3180	—	43	2	no	—
532	#3180	—	43	2	no	—
533	#3179	—	43	2	no	—
534	#3179	—	43	2	no	—
535	#3176	—	43	1	no	—
536	#3176	D₄₃	1	1	yes	characteristic, complemented
537	#3173	—	43	1	no	—
538	#3173	—	43	1	no	—
539	#3163	—	43	1	no	—
540	#3155	—	43	1	no	—
541	#3136	—	43	2	no	—
542	#3062	—	43	2	no	—
543	#3060	—	43	1	no	—
544	#3058	—	43	1	no	—
545	C₄×AGL(1,ℤ/8)	—	43	2	no	—
546	#2943	—	43	1	no	—
547	C₂×#442	—	43	1	no	—
548	#2875	—	43	1	no	—
549	C₂×C₄₃	—	4	1	no	—
550	C₂×C₄₃	—	8	2	no	—
551	C₂×C₄₃	—	8	2	no	—
552	C₂×C₄₃	C₂×#532	1	1	yes	characteristic
553	C₂×C₄₃	#3585	1	2	yes	—
554	D₄₃	—	2	2	no	—
555	D₄₃	—	4	1	no	—
556	D₄₃	—	8	2	no	—
557	C₂×AGL(1,ℤ/8)	—	43	2	no	—
558	C₂×#135	—	43	1	no	—
559	C₂²×D₈	—	43	1	no	—
560	C₂×#131	—	43	1	no	—
561	C₂×#131	—	43	1	no	—
562	#544	—	43	2	no	—
563	#542	—	43	2	no	—
564	#542	—	43	2	no	—
565	#542	—	86	2	no	—
566	#540	—	43	2	no	—
567	#540	—	86	2	no	—
568	#540	C₂×D₄₃	1	2	yes	complemented
569	#538	—	86	2	no	—
570	#538	—	86	2	no	—
571	#537	—	43	2	no	—
572	#535	—	43	2	no	—
573	#535	—	43	2	no	—
574	#532	—	43	2	no	—
575	#532	—	43	2	no	—
576	#532	—	86	2	no	—
577	#529	—	43	2	no	—
578	#529	—	43	2	no	—
579	#529	—	86	2	no	—
580	#525	—	86	2	no	—
581	#525	—	86	2	no	—
582	C₄×#41	—	43	1	no	—
583	C₄×#41	—	43	2	no	—
584	C₂×C₄×D₄	—	43	2	no	—
585	#501	—	43	2	no	—
586	#501	—	43	2	no	—
587	#499	—	43	1	no	—
588	#499	C₂×D₄₃	1	1	yes	characteristic, complemented
589	#498	—	43	1	no	—
590	#498	—	43	1	no	—
591	#496	—	43	2	no	—
592	#496	—	43	2	no	—
593	#495	—	43	1	no	—
594	#495	—	43	1	no	—
595	#493	—	43	1	no	—
596	#493	C₂×D₄₃	1	1	yes	characteristic
597	#490	—	43	2	no	—
598	#490	C₂×D₄₃	1	2	yes	complemented
599	#489	—	43	2	no	—
600	#489	—	43	2	no	—
601	#488	—	43	2	no	—
602	#488	—	43	2	no	—
603	#486	—	43	2	no	—
604	#486	—	43	2	no	—
605	#470	—	43	1	no	—
606	#470	—	43	1	no	—
607	#469	—	43	1	no	—
608	#469	—	43	1	no	—
609	#469	—	43	2	no	—
610	#469	—	43	1	no	—
611	#469	—	43	2	no	—
612	#469	—	43	1	no	—
613	#469	C₂×D₄₃	1	1	yes	characteristic
614	#469	C₂×D₄₃	1	1	yes	characteristic, complemented
615	#468	—	43	2	no	—
616	#468	—	43	2	no	—
617	#466	—	43	2	no	—
618	#466	—	43	2	no	—
619	#466	—	43	2	no	—
620	#466	C₂×D₄₃	1	2	yes	complemented
621	#465	—	43	2	no	—
622	#465	—	43	2	no	—
623	#465	—	43	2	no	—
624	#465	—	43	2	no	—
625	#442	—	43	2	no	—
626	#442	—	43	1	no	—
627	#442	—	43	1	no	—
628	#442	—	43	2	no	—
629	#442	—	43	1	no	—
630	#442	—	43	2	no	—
631	#442	—	43	2	no	—
632	#442	—	43	1	no	—
633	#442	C₂×D₄₃	1	1	yes	characteristic
634	#442	C₂×D₄₃	1	1	yes	characteristic, complemented
635	#441	—	43	1	no	—
636	#441	—	43	1	no	—
637	#440	—	43	2	no	—
638	#440	—	43	2	no	—
639	#440	—	43	2	no	—
640	#440	—	43	2	no	—
641	C₄×SD₁₆	—	43	2	no	—
642	C₄×SD₁₆	—	43	2	no	—
643	C₄×D₈	—	43	2	no	—
644	C₄×D₈	C₂×D₄₃	1	2	yes	complemented
645	#428	—	43	2	no	—
646	#427	—	43	1	no	—
647	C₂×#106	—	43	1	no	—
648	#418	—	43	2	no	—
649	#417	—	43	2	no	—
650	#416	—	43	2	no	—
651	C₂×#102	—	43	2	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	C₂×#97	—	43	1	no	—
662	C₂×#97	—	43	1	no	—
663	C₂×#97	—	43	1	no	—
664	C₄₃	#60698	1	1	yes	characteristic, complemented, Sylow
665	C₂×#41	—	43	1	no	—
666	C₂×#41	—	43	2	no	—
667	C₂×#41	—	86	2	no	—
668	C₂×#41	—	86	2	no	—
669	C₂²×D₄	—	43	2	no	—
670	C₂³×C₄	—	86	2	no	—
671	AGL(1,ℤ/8)	—	86	8	no	—
672	#135	—	86	4	no	—
673	C₂×Q₁₆	—	43	1	no	—
674	C₂×SD₁₆	—	43	2	no	—
675	C₂×SD₁₆	—	43	2	no	—
676	C₂×SD₁₆	—	43	2	no	—
677	C₂×D₈	—	43	2	no	—
678	C₂×D₈	—	43	2	no	—
679	C₂×D₈	—	43	1	no	—
680	C₂×D₈	—	86	4	no	—
681	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
682	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
683	C₂×D₈	C₂²×D₄₃	1	2	yes	—
684	#131	—	86	4	no	—
685	#131	—	86	4	no	—
686	C₂×M₁₆	—	43	1	no	—
687	C₂×M₁₆	—	43	1	no	—
688	C₂×M₁₆	—	43	1	no	—
689	C₂×M₁₆	—	43	1	no	—
690	C₂×M₁₆	—	43	1	no	—
691	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
692	C₂²×C₈	—	43	1	no	—
693	C₂²×C₈	—	43	1	no	—
694	C₂²×C₈	—	43	1	no	—
695	C₂²×C₈	—	43	1	no	—
696	C₂²×C₈	—	43	1	no	—
697	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
698	C₄⋊Q₈	—	43	2	no	—
699	C₄⋊Q₈	—	43	2	no	—
700	C₄⋊Q₈	—	86	2	no	—
701	#127	—	43	2	no	—
702	#127	—	86	2	no	—
703	#127	C₂²×D₄₃	1	2	yes	—
704	#126	—	86	2	no	—
705	#126	—	86	2	no	—
706	#126	—	86	2	no	—
707	#126	—	86	2	no	—
708	#125	—	43	2	no	—
709	#125	—	86	2	no	—
710	#125	C₂²×D₄₃	1	2	yes	—
711	#124	—	43	2	no	—
712	#124	—	43	2	no	—
713	#124	—	86	2	no	—
714	#124	—	86	2	no	—
715	#124	—	86	2	no	—
716	#124	—	86	2	no	—
717	#124	—	86	2	no	—
718	#123	—	2	2	no	—
719	#123	—	2	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	C₂²⋊Q₈	—	43	2	no	—
727	C₂²⋊Q₈	—	43	2	no	—
728	C₂²⋊Q₈	—	86	2	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	#121	—	2	2	no	—
734	#121	—	2	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	C₂²×D₄₃	1	2	yes	—
749	#121	C₂²×D₄₃	1	2	yes	—
750	#120	—	86	2	no	—
751	#120	—	86	2	no	—
752	#120	—	86	2	no	—
753	#120	—	86	2	no	—
754	C₄×Q₈	—	43	2	no	—
755	C₄×Q₈	—	43	2	no	—
756	C₄×Q₈	—	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	—	43	2	no	—
762	C₄×D₄	—	43	2	no	—
763	C₄×D₄	—	43	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	—	86	2	no	—
769	C₄×D₄	—	86	2	no	—
770	C₄×D₄	—	86	2	no	—
771	C₄×D₄	—	86	2	no	—
772	C₄×D₄	C₂²×D₄₃	1	2	yes	—
773	C₄×D₄	C₂²×D₄₃	1	2	yes	—
774	#117	—	43	1	no	—
775	#117	—	43	1	no	—
776	#117	—	43	2	no	—
777	#117	—	86	2	no	—
778	#117	—	86	2	no	—
779	#117	—	86	2	no	—
780	#117	C₂²×D₄₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	—	43	2	no	—
782	C₂×C₂²⋊C₄	—	86	2	no	—
783	C₂×C₄²	—	43	1	no	—
784	C₂×C₄²	—	43	1	no	—
785	C₂×C₄²	—	43	1	no	—
786	C₂×C₄²	—	86	2	no	—
787	#107	—	43	2	no	—
788	#107	—	43	2	no	—
789	#107	C₂²×D₄₃	1	2	yes	—
790	#106	—	43	1	no	—
791	#106	—	43	1	no	—
792	#106	—	43	2	no	—
793	#106	—	43	2	no	—
794	#106	—	43	2	no	—
795	#106	C₂²×D₄₃	1	1	yes	characteristic
796	#106	C₂²×D₄₃	1	1	yes	characteristic
797	#103	—	43	2	no	—
798	#103	—	43	2	no	—
799	#103	—	43	2	no	—
800	#103	—	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	—	43	2	no	—
809	#102	C₂²×D₄₃	1	2	yes	—
810	#102	C₂²×D₄₃	1	2	yes	—
811	#102	C₂²×D₄₃	1	2	yes	—
812	#102	C₂²×D₄₃	1	2	yes	—
813	#97	—	43	1	no	—
814	#97	—	43	1	no	—
815	#97	—	43	1	no	—
816	#97	—	43	1	no	—
817	#97	—	43	1	no	—
818	#97	—	43	1	no	—
819	#97	—	43	1	no	—
820	#97	—	43	1	no	—
821	#97	C₂²×D₄₃	1	1	yes	characteristic
822	#97	C₂²×D₄₃	1	1	yes	characteristic
823	C₄×C₈	—	43	1	no	—
824	C₄×C₈	—	43	1	no	—
825	C₄×C₈	—	43	1	no	—
826	C₄×C₈	—	43	1	no	—
827	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
828	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
829	C₂⁴	—	86	2	no	—
830	#41	—	86	2	no	—
831	#41	—	86	2	no	—
832	#41	—	86	4	no	—
833	#41	—	86	4	no	—
834	#41	—	344	4	no	—
835	#41	—	344	4	no	—
836	C₂×Q₈	—	43	1	no	—
837	C₂×Q₈	—	43	2	no	—
838	C₂×Q₈	—	86	2	no	—
839	C₂×Q₈	—	86	2	no	—
840	C₂×D₄	—	2	2	no	—
841	C₂×D₄	—	2	2	no	—
842	C₂×D₄	—	2	2	no	—
843	C₂×D₄	—	2	2	no	—
844	C₂×D₄	—	43	1	no	—
845	C₂×D₄	—	43	1	no	—
846	C₂×D₄	—	43	1	no	—
847	C₂×D₄	—	43	2	no	—
848	C₂×D₄	—	86	2	no	—
849	C₂×D₄	—	86	4	no	—
850	C₂×D₄	—	86	4	no	—
851	C₂×D₄	—	86	2	no	—
852	C₂×D₄	—	86	2	no	—
853	C₂×D₄	—	86	2	no	—
854	C₂×D₄	—	86	2	no	—
855	C₂×D₄	—	86	2	no	—
856	C₂×D₄	—	86	2	no	—
857	C₂×D₄	—	86	2	no	—
858	C₂×D₄	C₂³×D₄₃	1	2	yes	—
859	C₂×D₄	C₂³×D₄₃	1	2	yes	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	43	1	no	—
863	C₂²×C₄	—	43	2	no	—
864	C₂²×C₄	—	43	1	no	—
865	C₂²×C₄	—	43	2	no	—
866	C₂²×C₄	—	43	2	no	—
867	C₂²×C₄	—	86	2	no	—
868	C₂²×C₄	—	86	2	no	—
869	C₂²×C₄	—	86	2	no	—
870	C₂²×C₄	—	86	2	no	—
871	C₂²×C₄	—	86	2	no	—
872	C₂²×C₄	—	86	2	no	—
873	C₂²×C₄	—	344	4	no	—
874	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
875	Q₁₆	—	86	2	no	—
876	SD₁₆	—	86	4	no	—
877	SD₁₆	—	86	4	no	—
878	SD₁₆	—	86	4	no	—
879	D₈	—	2	2	no	—
880	D₈	—	2	2	no	—
881	D₈	—	2	4	no	—
882	D₈	—	86	4	no	—
883	D₈	—	86	4	no	—
884	D₈	—	86	2	no	—
885	M₁₆	—	2	2	no	—
886	M₁₆	—	43	4	no	—
887	M₁₆	—	86	2	no	—
888	M₁₆	—	86	2	no	—
889	M₁₆	—	86	2	no	—
890	M₁₆	—	86	2	no	—
891	C₂×C₈	—	2	2	no	—
892	C₂×C₈	—	43	1	no	—
893	C₂×C₈	—	43	1	no	—
894	C₂×C₈	—	43	4	no	—
895	C₂×C₈	—	43	1	no	—
896	C₂×C₈	—	43	1	no	—
897	C₂×C₈	—	86	2	no	—
898	C₂×C₈	—	86	2	no	—
899	C₂×C₈	—	86	2	no	—
900	C₂×C₈	—	86	2	no	—
901	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
902	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
903	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
904	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
905	C₄⋊C₄	—	2	2	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	43	2	no	—
908	C₄⋊C₄	—	43	2	no	—
909	C₄⋊C₄	—	43	2	no	—
910	C₄⋊C₄	—	43	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	—	86	2	no	—
918	C₄⋊C₄	—	86	2	no	—
919	C₄⋊C₄	—	86	2	no	—
920	C₄⋊C₄	D₄×D₄₃	1	2	yes	—
921	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
922	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
923	C₂²⋊C₄	—	2	2	no	—
924	C₂²⋊C₄	—	2	2	no	—
925	C₂²⋊C₄	—	2	2	no	—
926	C₂²⋊C₄	—	2	2	no	—
927	C₂²⋊C₄	—	43	2	no	—
928	C₂²⋊C₄	—	43	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	—	86	2	no	—
941	C₂²⋊C₄	—	86	2	no	—
942	C₂²⋊C₄	—	86	2	no	—
943	C₂²⋊C₄	—	86	2	no	—
944	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
945	C₄²	—	43	2	no	—
946	C₄²	—	43	2	no	—
947	C₄²	—	43	2	no	—
948	C₄²	—	43	1	no	—
949	C₄²	—	43	1	no	—
950	C₄²	—	86	2	no	—
951	C₄²	—	86	2	no	—
952	C₄²	—	86	2	no	—
953	C₄²	C₂³×D₄₃	1	1	yes	characteristic
954	C₄²	C₂³×D₄₃	1	1	yes	characteristic
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	43	1	no	—
958	C₂³	—	43	1	no	—
959	C₂³	—	86	2	no	—
960	C₂³	—	344	2	no	—
961	C₂³	—	344	2	no	—
962	C₂³	—	172	4	no	—
963	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
964	Q₈	—	86	2	no	—
965	Q₈	—	86	2	no	—
966	Q₈	—	86	2	no	—
967	Q₈	—	344	2	no	—
968	Q₈	—	344	2	no	—
969	D₄	—	2	2	no	—
970	D₄	—	2	2	no	—
971	D₄	—	2	2	no	—
972	D₄	—	2	2	no	—
973	D₄	—	8	2	no	—
974	D₄	—	8	2	no	—
975	D₄	—	8	2	no	—
976	D₄	—	8	2	no	—
977	D₄	—	86	2	no	—
978	D₄	—	86	2	no	—
979	D₄	—	86	2	no	—
980	D₄	—	86	2	no	—
981	D₄	—	86	2	no	—
982	D₄	—	344	2	no	—
983	D₄	—	344	2	no	—
984	D₄	—	344	2	no	—
985	D₄	—	344	2	no	—
986	D₄	—	344	2	no	—
987	D₄	—	344	2	no	—
988	D₄	—	172	4	no	—
989	D₄	—	172	4	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	8	2	no	—
995	C₂×C₄	—	8	2	no	—
996	C₂×C₄	—	43	1	no	—
997	C₂×C₄	—	43	2	no	—
998	C₂×C₄	—	43	2	no	—
999	C₂×C₄	—	43	2	no	—
1000	C₂×C₄	—	43	2	no	—
1001	C₂×C₄	—	43	1	no	—
1002	C₂×C₄	—	86	1	no	—
1003	C₂×C₄	—	86	1	no	—
1004	C₂×C₄	—	86	2	no	—
1005	C₂×C₄	—	86	2	no	—
1006	C₂×C₄	—	86	2	no	—
1007	C₂×C₄	—	344	2	no	—
1008	C₂×C₄	—	344	2	no	—
1009	C₂×C₄	—	172	2	no	—
1010	C₂×C₄	—	172	2	no	—
1011	C₂×C₄	—	172	4	no	—
1012	C₂×C₄	—	172	4	no	—
1013	C₂×C₄	—	172	2	no	—
1014	C₂×C₄	—	172	4	no	—
1015	C₂×C₄	—	172	4	no	—
1016	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1017	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1018	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1019	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1020	C₈	—	2	1	no	—
1021	C₈	—	2	1	no	—
1022	C₈	—	43	2	no	—
1023	C₈	—	43	2	no	—
1024	C₈	—	86	1	no	—
1025	C₈	—	86	1	no	—
1026	C₈	#41×D₄₃	1	2	yes	—
1027	C₈	#41×D₄₃	1	2	yes	—
1028	C₂²	—	2	2	no	—
1029	C₂²	—	2	1	no	—
1030	C₂²	—	4	2	no	—
1031	C₂²	—	4	2	no	—
1032	C₂²	—	4	2	no	—
1033	C₂²	—	4	2	no	—
1034	C₂²	—	4	2	no	—
1035	C₂²	—	4	2	no	—
1036	C₂²	—	43	2	no	—
1037	C₂²	—	86	2	no	—
1038	C₂²	—	86	2	no	—
1039	C₂²	—	86	1	no	—
1040	C₂²	—	344	8	no	—
1041	C₂²	—	172	2	no	—
1042	C₂²	—	172	2	no	—
1043	C₂²	—	172	2	no	—
1044	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1045	C₄	—	2	2	no	—
1046	C₄	—	2	2	no	—
1047	C₄	—	2	1	no	—
1048	C₄	—	4	2	no	—
1049	C₄	—	4	2	no	—
1050	C₄	—	43	2	no	—
1051	C₄	—	86	2	no	—
1052	C₄	—	86	2	no	—
1053	C₄	—	86	1	no	—
1054	C₄	—	172	2	no	—
1055	C₄	—	172	2	no	—
1056	C₄	—	172	2	no	—
1057	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1058	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1059	C₂	—	4	1	no	—
1060	C₂	—	8	2	no	—
1061	C₂	—	8	2	no	—
1062	C₂	—	86	2	no	—
1063	C₂	—	344	2	no	—
1064	C₂	—	172	1	no	—
1065	C₂	#532×D₄₃	1	1	yes	characteristic
1066	C₂	#19149370	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3176	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3176	D₄₃
hypocenter	C₄₃	#60698
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3176

Complements

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

N	H ≅ G/N	type
1. #19148010	C₂	semidirect
2. #19145331	C₂	semidirect
3. #19145328	C₂	semidirect
4. #19145326	C₂	semidirect
5. #19145319	C₂	semidirect
6. #19145292	C₂	semidirect
7. #19145288	C₂	semidirect
8. #19145282	C₂	semidirect
9. #19145280	C₂	semidirect
10. #19145243	C₂	semidirect
11. #19145212	C₂	semidirect
12. #19145210	C₂	semidirect
13. #19145124	C₂	semidirect
14. #19145075	C₂	semidirect
15. #19144950	C₂	semidirect
16. #19144274	C₂	semidirect
17. #19144255	C₂	semidirect
18. #19144241	C₂	semidirect
19. C₄×#13063349	C₂	semidirect
20. #19143392	C₂	semidirect
21. #442×D₄₃	C₂	semidirect
22. #19143022	C₂	semidirect
23. C₄₃×#3176	C₂	semidirect
30. #14583520	C₂²	semidirect
32. #14583514	C₂²	semidirect
33. #14583500	C₂²	semidirect
40. #14583447	C₂²	semidirect
42. #14583444	C₂²	semidirect
43. #14583434	C₂²	semidirect
44. #14583430	C₂²	semidirect
51. #14583309	C₂²	semidirect
52. #14583307	C₂²	semidirect
53. #14583299	C₂²	semidirect
54. #14583297	C₂²	semidirect
55. #14583296	C₂²	semidirect
61. #14583262	C₂²	semidirect
62. #14583259	C₂²	semidirect
63. #14583257	C₂²	semidirect
64. #14583256	C₂²	semidirect
65. #14583252	C₂²	semidirect
66. #14583245	C₂²	semidirect
67. #14583244	C₂²	semidirect
68. #14583158	C₂²	semidirect
69. #14583157	C₂²	semidirect
72. #14583150	C₂²	semidirect
74. #14583149	C₂²	semidirect
75. #14583149	C₂²	semidirect
76. #14583146	C₂²	semidirect
77. #14583143	C₂²	semidirect
79. #14583134	C₂²	semidirect
81. #14583128	C₂²	semidirect
82. #14583127	C₂²	semidirect
83. #14583127	C₂²	semidirect
84. #14583126	C₂²	semidirect
87. #14583011	C₂²	semidirect
88. #14583011	C₂²	semidirect
92. #14583008	C₂²	semidirect
93. #14583007	C₂²	semidirect
94. #14583005	C₂²	semidirect
95. #14582999	C₂²	semidirect
96. #14582998	C₂²	semidirect
97. #14582996	C₂²	semidirect
98. #14582996	C₂²	semidirect
99. C₄×#10621873	C₂²	semidirect
100. C₄×#10621883	C₂²	semidirect
101. C₄×#10621882	C₂²	semidirect
110. #14582856	C₂²	semidirect
111. #14582855	C₂²	semidirect
113. #14582853	C₂²	semidirect
114. M₁₆×Dic₄₃	C₂²	semidirect
116. C₄×#10621872	C₂²	semidirect
117. C₂×#13063235	C₂²	semidirect
119. #97×D₄₃	C₂²	semidirect
120. C₄₃×#540	C₂²	semidirect
121. C₄₃×#499	C₂²	semidirect
123. C₄₃×#490	C₂²	semidirect
125. C₄₃×#469	C₂²	semidirect
126. C₄₃×#466	C₂²	semidirect
128. C₄₃×#442	C₂²	semidirect
129. C₄×D₈×C₄₃	C₂²	semidirect
130. C₄₃×#405	C₂²	semidirect
416. #10621872	#41	semidirect
420. C₈×D₄₃	#41	semidirect
536. #3176	D₄₃	semidirect
568. #540	C₂×D₄₃	semidirect
588. #499	C₂×D₄₃	semidirect
598. #490	C₂×D₄₃	semidirect
614. #469	C₂×D₄₃	semidirect
620. #466	C₂×D₄₃	semidirect
634. #442	C₂×D₄₃	semidirect
644. C₄×D₈	C₂×D₄₃	semidirect
657. #405	C₂×D₄₃	semidirect
664. C₄₃	#60698	semidirect

Maximal subgroups

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

subgroup	index
#19148010	2
#19145331	2
#19145328	2
#19145326	2
#19145319	2
#19145292	2
#19145288	2
#19145282	2
#19145280	2
#19145243	2
#19145212	2
#19145210	2
#19145124	2
#19145075	2
#19144950	2
#19144274	2
#19144255	2
#19144241	2
C₄×#13063349	2
#19143392	2
#442×D₄₃	2
#19143022	2
C₄₃×#3176	2
#60698	43