Subgroups — #25975539

Order 11008.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148311	C₂	1	2	yes	maximal, complemented
2	#19147144	C₂	1	2	yes	maximal, complemented
3	#19147134	C₂	1	2	yes	maximal, complemented
4	#19147113	C₂	1	2	yes	maximal, complemented
5	#19147107	C₂	1	2	yes	maximal, complemented
6	#19147026	C₂	1	1	yes	maximal, characteristic, complemented
7	#19147023	C₂	1	1	yes	maximal, characteristic, complemented
8	#19147019	C₂	1	1	yes	maximal, characteristic, complemented
9	#19147014	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146992	C₂	1	1	yes	maximal, characteristic, complemented
11	#19146962	C₂	1	1	yes	maximal, characteristic, complemented
12	#19146959	C₂	1	1	yes	maximal, characteristic, complemented
13	#19145132	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144585	C₂	1	2	yes	maximal, complemented
15	#19144523	C₂	1	2	yes	maximal, complemented
16	#19144458	C₂	1	2	yes	maximal, complemented
17	#19144260	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144174	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143465	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143284	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143191	C₂	1	1	yes	maximal, characteristic, complemented
22	#427×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3339	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063344	C₂²	1	1	yes	characteristic
25	C₂×#13063331	C₂²	1	1	yes	characteristic
26	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
27	#14583619	C₂²	1	2	yes	—
28	#14583617	C₂²	1	2	yes	—
29	#14583616	—	2	2	no	—
30	#14583614	C₂²	1	2	yes	—
31	#14583613	—	2	2	no	—
32	#14583613	C₂²	1	2	yes	—
33	#14583598	—	2	2	no	—
34	#14583596	C₂²	1	2	yes	—
35	#14583587	C₂²	1	2	yes	—
36	#14583586	—	2	2	no	—
37	#14583584	C₂²	1	2	yes	—
38	#14583529	C₂²	1	2	yes	—
39	#14583485	—	2	2	no	—
40	#14583481	—	2	2	no	—
41	#14583478	C₂²	1	2	yes	—
42	#14583432	—	2	2	no	—
43	#14583431	—	2	2	no	—
44	#14583409	C₂²	1	2	yes	—
45	#14583408	C₂²	1	1	yes	characteristic
46	#14583380	C₂²	1	2	yes	—
47	#14583378	C₂²	1	2	yes	—
48	#117×D₄₃	C₂²	1	2	yes	—
49	#14583309	C₂²	1	2	yes	complemented
50	#14583306	C₂²	1	2	yes	complemented
51	#14583304	C₂²	1	1	yes	characteristic, complemented
52	#14583303	C₂²	1	1	yes	characteristic, complemented
53	#14583300	C₂²	1	1	yes	characteristic, complemented
54	#14583243	C₂²	1	2	yes	—
55	#14583243	C₂²	1	2	yes	complemented
56	#14583242	C₂²	1	2	yes	—
57	#14583241	C₂²	1	2	yes	—
58	#14583241	C₂²	1	2	yes	complemented
59	#14583240	C₂²	1	2	yes	—
60	#14583231	C₂²	1	2	yes	complemented
61	#14583229	C₂²	1	2	yes	complemented
62	#14583222	C₂²	1	2	yes	—
63	#14583221	C₂²	1	2	yes	—
64	#14583221	C₂²	1	2	yes	complemented
65	#14583220	C₂²	1	2	yes	—
66	#14583220	C₂²	1	2	yes	complemented
67	#14583216	C₂²	1	2	yes	complemented
68	#14583205	C₂²	1	2	yes	complemented
69	#14583203	C₂²	1	2	yes	complemented
70	#14583201	C₂²	1	2	yes	complemented
71	#14583189	C₂²	1	2	yes	complemented
72	#14583187	C₂²	1	2	yes	complemented
73	#14583185	C₂²	1	2	yes	complemented
74	#14583183	C₂²	1	2	yes	complemented
75	#14583144	C₂²	1	2	yes	complemented
76	#14583143	C₂²	1	2	yes	complemented
77	#14583141	C₂²	1	1	yes	characteristic
78	#14583141	C₂²	1	1	yes	characteristic, complemented
79	#14583140	C₂²	1	1	yes	characteristic
80	#14583140	C₂²	1	1	yes	characteristic, complemented
81	#14583132	C₂²	1	1	yes	characteristic
82	#14583132	C₂²	1	1	yes	characteristic, complemented
83	#14583127	C₂²	1	2	yes	—
84	#14583126	C₂²	1	2	yes	—
85	#14582999	C₂²	1	2	yes	complemented
86	#14582996	C₂²	1	2	yes	complemented
87	C₄×Dic₁₇₂	C₂²	1	1	yes	characteristic, complemented
88	#14582993	C₂²	1	1	yes	characteristic, complemented
89	D₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
90	#14582973	C₂²	1	1	yes	characteristic
91	#14582971	C₂²	1	1	yes	characteristic
92	#14582969	C₂²	1	1	yes	characteristic
93	#14582967	C₂²	1	1	yes	characteristic
94	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
95	C₈×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
96	C₈×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
97	#14582940	C₂²	1	2	yes	—
98	#14582940	C₂²	1	2	yes	complemented
99	#14582939	C₂²	1	2	yes	complemented
100	#14582938	C₂²	1	2	yes	—
101	#14582937	C₂²	1	1	yes	characteristic
102	#14582937	C₂²	1	1	yes	characteristic, complemented
103	#14582936	C₂²	1	1	yes	characteristic
104	#14582936	C₂²	1	1	yes	characteristic
105	#14582936	C₂²	1	1	yes	characteristic
106	#14582936	C₂²	1	1	yes	characteristic, complemented
107	#14582935	C₂²	1	2	yes	—
108	#14582934	C₂²	1	2	yes	—
109	#107×D₄₃	C₂²	1	1	yes	characteristic
110	#107×D₄₃	C₂²	1	1	yes	characteristic
111	#107×D₄₃	C₂²	1	1	yes	characteristic, complemented
112	#106×D₄₃	C₂²	1	2	yes	—
113	#14582924	C₂²	1	1	yes	characteristic
114	#14582897	C₂²	1	2	yes	—
115	#14582897	C₂²	1	2	yes	—
116	#14582892	C₂²	1	2	yes	—
117	#14582864	C₂²	1	1	yes	characteristic
118	#14582861	C₂²	1	1	yes	characteristic
119	#14582853	C₂²	1	1	yes	characteristic
120	C₄₃×#553	C₂²	1	2	yes	—
121	C₄₃×#499	C₂²	1	1	yes	characteristic, complemented
122	C₄₃×#482	C₂²	1	2	yes	—
123	C₄₃×#481	C₂²	1	2	yes	complemented
124	C₄₃×#478	C₂²	1	2	yes	complemented
125	C₄₃×#466	C₂²	1	1	yes	characteristic
126	C₄₃×#466	C₂²	1	1	yes	characteristic, complemented
127	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
128	C₈×D₄×C₄₃	C₂²	1	1	yes	characteristic
129	C₄₃×#427	C₂²	1	1	yes	characteristic
130	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₂×#10621898	C₂³	1	1	yes	characteristic
132	C₂×#10621900	C₂³	1	2	yes	—
133	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
134	#13063344	—	2	4	no	—
135	C₂×Dic₁₇₂	C₂³	1	1	yes	characteristic
136	C₂×#10621883	C₂³	1	2	yes	—
137	#13063331	—	2	4	no	—
138	C₂×#10621877	C₂³	1	1	yes	characteristic
139	C₂×#10621872	C₂³	1	1	yes	characteristic
140	C₂×#10621872	C₂³	1	1	yes	characteristic
141	C₂×#10621872	C₂³	1	1	yes	characteristic
142	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
143	C₂×C₈×D₄₃	—	2	4	no	—
144	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
145	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
146	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
147	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
148	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
149	#13063325	C₂³	1	2	yes	—
150	#13063324	—	2	2	no	—
151	#13063324	C₂³	1	2	yes	—
152	#13063320	—	2	2	no	—
153	#13063320	—	2	2	no	—
154	#13063319	—	2	2	no	—
155	#13063318	—	2	2	no	—
156	#13063318	—	2	2	no	—
157	#13063318	—	2	2	no	—
158	#13063318	—	2	2	no	—
159	#13063316	—	2	2	no	—
160	#13063316	C₂³	1	2	yes	—
161	#13063315	—	2	2	no	—
162	#13063315	—	2	2	no	—
163	#13063312	—	2	2	no	—
164	#13063312	—	2	2	no	—
165	#13063311	—	2	2	no	—
166	#13063311	—	2	2	no	—
167	#13063311	—	2	2	no	—
168	#13063311	—	2	2	no	—
169	#13063310	—	2	2	no	—
170	#13063310	D₄	1	1	yes	characteristic
171	#13063308	—	2	2	no	—
172	#13063307	—	2	2	no	—
173	#13063307	D₄	1	1	yes	characteristic
174	#13063306	—	2	2	no	—
175	#13063305	—	2	2	no	—
176	#13063305	C₂³	1	2	yes	—
177	#13063305	C₂³	1	2	yes	—
178	#13063304	C₂³	1	2	yes	—
179	#13063304	C₂³	1	2	yes	—
180	#13063303	—	2	2	no	—
181	#13063303	D₄	1	1	yes	characteristic
182	#13063302	—	2	2	no	—
183	#13063302	D₄	1	1	yes	characteristic
184	#13063299	—	2	2	no	—
185	#13063298	—	2	2	no	—
186	#13063298	D₄	1	1	yes	characteristic
187	#13063297	—	2	2	no	—
188	#13063297	—	2	2	no	—
189	#13063297	D₄	1	1	yes	characteristic
190	#13063296	—	2	2	no	—
191	#13063296	—	2	2	no	—
192	#13063296	C₂³	1	2	yes	—
193	#13063296	C₂³	1	2	yes	—
194	#13063295	D₄	1	1	yes	characteristic
195	#13063293	—	2	2	no	—
196	#13063293	D₄	1	1	yes	characteristic
197	C₄×Dic₈₆	—	2	2	no	—
198	C₄×Dic₈₆	C₂³	1	2	yes	—
199	#13063290	—	2	2	no	—
200	#13063290	—	2	2	no	—
201	#13063290	C₂³	1	2	yes	—
202	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
203	D₄×Dic₄₃	—	2	2	no	—
204	D₄×Dic₄₃	C₂³	1	2	yes	—
205	#13063287	—	2	2	no	—
206	C₄×C₂²⋊D₄₃	—	2	2	no	—
207	C₄×C₂²⋊D₄₃	—	2	2	no	—
208	C₄×C₂²⋊D₄₃	—	2	2	no	—
209	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
210	C₄×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
211	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
212	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
213	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
214	#13063284	—	2	2	no	—
215	#13063284	—	2	2	no	—
216	#13063284	C₂³	1	2	yes	—
217	#13063284	C₂³	1	2	yes	—
218	#13063283	—	2	2	no	—
219	#13063283	C₂³	1	2	yes	—
220	#13063283	C₂³	1	2	yes	—
221	#13063283	C₂³	1	2	yes	—
222	#13063283	C₂³	1	2	yes	—
223	#13063282	—	2	2	no	—
224	#13063282	C₂³	1	1	yes	characteristic
225	#13063281	—	2	2	no	—
226	#13063281	—	2	2	no	—
227	#13063281	—	2	2	no	—
228	C₂×Dic₄₃⋊C₄	—	2	2	no	—
229	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
230	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
231	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
232	C₂²⋊C₄×D₄₃	—	2	2	no	—
233	C₄²×D₄₃	—	2	2	no	—
234	#13063259	C₂³	1	1	yes	characteristic
235	#13063259	C₂³	1	1	yes	characteristic
236	#13063259	C₂³	1	2	yes	—
237	#13063259	C₂³	1	1	yes	characteristic
238	#13063258	C₂³	1	2	yes	—
239	#13063258	C₂³	1	2	yes	—
240	#13063258	C₂³	1	2	yes	—
241	#13063258	C₂³	1	2	yes	—
242	#13063257	C₂³	1	2	yes	—
243	#13063257	C₂³	1	2	yes	—
244	#13063256	C₂³	1	2	yes	—
245	#13063256	C₂³	1	2	yes	—
246	#13063256	C₂³	1	2	yes	—
247	#13063256	C₂³	1	2	yes	—
248	#13063256	C₂³	1	2	yes	—
249	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
250	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
251	Dic₄₃⋊C₈	C₂³	1	1	yes	characteristic
252	#13063250	C₂³	1	2	yes	—
253	#13063250	C₂³	1	2	yes	—
254	#13063250	C₂³	1	2	yes	—
255	#13063248	C₂³	1	2	yes	—
256	#13063248	C₂³	1	2	yes	—
257	#13063248	C₂³	1	2	yes	—
258	#13063246	C₂³	1	2	yes	—
259	#13063246	C₂³	1	2	yes	—
260	#13063246	C₂³	1	2	yes	—
261	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
262	C₂²⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
263	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
264	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
265	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
266	(C₂×D₄₃)⋊C₈	C₂³	1	1	yes	characteristic
267	#13063236	C₂³	1	1	yes	characteristic
268	#13063235	C₂³	1	1	yes	characteristic
269	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
270	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
273	#126×C₄₃	—	2	2	no	—
274	#125×C₄₃	C₂³	1	2	yes	—
275	#123×C₄₃	—	2	2	no	—
276	#121×C₄₃	—	2	2	no	—
277	#121×C₄₃	C₂³	1	2	yes	—
278	#121×C₄₃	C₂³	1	2	yes	—
279	C₄×D₄×C₄₃	—	2	2	no	—
280	C₄×D₄×C₄₃	C₂³	1	2	yes	—
281	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
282	#117×C₄₃	C₂³	1	2	yes	—
283	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
284	#107×C₄₃	C₂³	1	1	yes	characteristic
285	#107×C₄₃	C₂³	1	1	yes	characteristic
286	#107×C₄₃	C₂³	1	1	yes	characteristic
287	#107×C₄₃	C₂³	1	2	yes	—
288	#106×C₄₃	C₂³	1	2	yes	—
289	#106×C₄₃	C₂³	1	2	yes	—
290	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
291	#102×C₄₃	C₂³	1	2	yes	—
292	#102×C₄₃	C₂³	1	2	yes	—
293	#102×C₄₃	C₂³	1	2	yes	—
294	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
295	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
296	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
297	C₂³×D₄₃	C₂×D₄	1	1	yes	characteristic
298	C₂×D₄×C₄₃	—	2	2	no	—
299	C₂×D₄×C₄₃	—	2	2	no	—
300	C₂×D₄×C₄₃	C₂×D₄	1	1	yes	characteristic
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	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
310	C₂×C₂²⋊D₄₃	C₂×D₄	1	1	yes	characteristic
311	C₂×C₂²⋊D₄₃	C₂×D₄	1	1	yes	characteristic
312	C₂×C₂²⋊D₄₃	C₂×D₄	1	1	yes	characteristic
313	C₂²×Dic₄₃	—	2	2	no	—
314	C₂²×Dic₄₃	—	2	2	no	—
315	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
316	#10621900	—	2	4	no	—
317	#10621900	—	2	4	no	—
318	#10621898	—	2	2	no	—
319	#10621898	—	2	2	no	—
320	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
321	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
322	C₂×C₄×D₄₃	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
328	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
329	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
330	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
331	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
332	C₂×Dic₈₆	—	2	2	no	—
333	C₂×Dic₈₆	—	2	2	no	—
334	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
335	C₂×Dic₈₆	C₂⁴	1	2	yes	—
336	D₈×C₄₃	—	2	2	no	—
337	C₂×C₈×C₄₃	—	2	2	no	—
338	C₂×C₈×C₄₃	—	2	2	no	—
339	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
340	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
341	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
342	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
343	C₄⋊C₄×C₄₃	—	2	2	no	—
344	C₄⋊C₄×C₄₃	—	2	2	no	—
345	C₄⋊C₄×C₄₃	—	2	2	no	—
346	C₄⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
347	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
348	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
349	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
350	C₂²⋊C₄×C₄₃	—	2	2	no	—
351	C₂²⋊C₄×C₄₃	—	2	2	no	—
352	C₂²⋊C₄×C₄₃	—	2	2	no	—
353	C₂²⋊C₄×C₄₃	—	2	2	no	—
354	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
355	C₂²⋊C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
356	C₄²×C₄₃	—	2	2	no	—
357	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
358	C₂²⋊Dic₄₃	—	2	2	no	—
359	C₂²⋊Dic₄₃	—	2	2	no	—
360	C₂²⋊Dic₄₃	—	2	2	no	—
361	C₂²⋊Dic₄₃	—	2	2	no	—
362	C₂²⋊Dic₄₃	—	2	2	no	—
363	C₂²⋊Dic₄₃	—	2	2	no	—
364	C₂²⋊Dic₄₃	—	2	2	no	—
365	C₂²⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
366	C₂²⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
367	#10621883	—	2	4	no	—
368	(C₂×D₄₃)⋊C₄	—	2	2	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	C₂×D₄	1	1	yes	characteristic
375	(C₂×D₄₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
376	(C₂×D₄₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
377	(C₂×D₄₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
378	(C₂×D₄₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
379	(C₂×D₄₃)⋊C₄	C₂×D₄	1	1	yes	characteristic
380	C₄⋊Dic₄₃	—	2	2	no	—
381	C₄⋊Dic₄₃	—	2	2	no	—
382	C₄⋊Dic₄₃	—	2	2	no	—
383	C₄⋊Dic₄₃	—	2	2	no	—
384	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
385	C₄⋊Dic₄₃	C₂⁴	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	—	2	2	no	—
395	Dic₄₃⋊C₄	—	2	2	no	—
396	Dic₄₃⋊C₄	—	2	2	no	—
397	Dic₄₃⋊C₄	C₂×D₄	1	1	yes	characteristic
398	Dic₄₃⋊C₄	C₂×D₄	1	1	yes	characteristic
399	Dic₄₃⋊C₄	C₂×D₄	1	1	yes	characteristic
400	Dic₄₃⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₄×Dic₄₃	—	2	2	no	—
402	C₄×Dic₄₃	—	2	2	no	—
403	C₄×Dic₄₃	—	2	2	no	—
404	C₄×Dic₄₃	—	2	2	no	—
405	C₄×Dic₄₃	—	2	2	no	—
406	C₄×Dic₄₃	—	2	2	no	—
407	C₄×Dic₄₃	—	2	2	no	—
408	C₄×Dic₄₃	—	2	2	no	—
409	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
410	#10621877	—	2	2	no	—
411	C₂×C₄₃⋊C₈	—	2	2	no	—
412	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
413	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
414	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
415	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
416	Dic₁₇₂	—	2	2	no	—
417	#10621872	—	2	2	no	—
418	#10621872	—	2	2	no	—
419	#10621872	—	2	2	no	—
420	C₈×D₄₃	—	2	2	no	—
421	C₈×D₄₃	—	2	2	no	—
422	C₈×D₄₃	—	2	2	no	—
423	C₈×D₄₃	—	2	2	no	—
424	C₈×D₄₃	#41	1	4	yes	—
425	C₂³×C₄₃	—	2	2	no	—
426	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
427	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
428	C₂²×D₄₃	—	2	2	no	—
429	C₂²×D₄₃	—	4	1	no	—
430	C₂²×D₄₃	—	4	1	no	—
431	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
432	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
433	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
434	D₄×C₄₃	—	2	2	no	—
435	D₄×C₄₃	—	2	2	no	—
436	D₄×C₄₃	—	4	1	no	—
437	D₄×C₄₃	—	8	2	no	—
438	D₄×C₄₃	—	8	2	no	—
439	C₂×C₄×C₄₃	—	2	1	no	—
440	C₂×C₄×C₄₃	—	2	1	no	—
441	C₂×C₄×C₄₃	—	2	1	no	—
442	C₂×C₄×C₄₃	—	2	1	no	—
443	C₂×C₄×C₄₃	—	2	2	no	—
444	C₂×C₄×C₄₃	—	2	2	no	—
445	C₂×C₄×C₄₃	—	2	2	no	—
446	C₂×C₄×C₄₃	—	8	2	no	—
447	C₂×C₄×C₄₃	—	8	2	no	—
448	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
449	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
450	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
451	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
452	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
453	C₂²⋊D₄₃	—	2	2	no	—
454	C₂²⋊D₄₃	—	2	2	no	—
455	C₂²⋊D₄₃	—	4	1	no	—
456	C₂²⋊D₄₃	—	4	1	no	—
457	C₂²⋊D₄₃	—	4	4	no	—
458	C₂²⋊D₄₃	—	8	2	no	—
459	C₂²⋊D₄₃	—	8	2	no	—
460	C₂×Dic₄₃	—	2	2	no	—
461	C₂×Dic₄₃	—	2	2	no	—
462	C₂×Dic₄₃	—	2	2	no	—
463	C₂×Dic₄₃	—	2	2	no	—
464	C₂×Dic₄₃	—	2	2	no	—
465	C₂×Dic₄₃	—	4	4	no	—
466	C₂×Dic₄₃	—	8	2	no	—
467	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
468	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
469	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
470	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
471	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
472	D₁₇₂	—	2	2	no	—
473	D₁₇₂	—	4	1	no	—
474	C₄×D₄₃	—	2	2	no	—
475	C₄×D₄₃	—	2	1	no	—
476	C₄×D₄₃	—	2	1	no	—
477	C₄×D₄₃	—	2	1	no	—
478	C₄×D₄₃	—	2	1	no	—
479	C₄×D₄₃	—	2	2	no	—
480	C₄×D₄₃	—	8	2	no	—
481	C₄×D₄₃	—	8	2	no	—
482	C₄×D₄₃	—	8	2	no	—
483	C₄×D₄₃	C₂×#41	1	2	yes	—
484	C₄×D₄₃	2₋¹⁺⁴	1	2	yes	—
485	Dic₈₆	—	2	2	no	—
486	Dic₈₆	—	2	2	no	—
487	Dic₈₆	—	2	2	no	—
488	Dic₈₆	—	8	2	no	—
489	Dic₈₆	—	8	2	no	—
490	C₈×C₄₃	—	2	1	no	—
491	C₈×C₄₃	—	2	1	no	—
492	C₈×C₄₃	—	2	1	no	—
493	C₈×C₄₃	C₂×#41	1	2	yes	—
494	C₄₃⋊C₈	—	2	1	no	—
495	C₄₃⋊C₈	—	2	1	no	—
496	C₄₃⋊C₈	—	2	1	no	—
497	C₄₃⋊C₈	C₂×#41	1	2	yes	—
498	#61261	—	43	1	no	maximal, Sylow
499	C₂²×C₄₃	—	2	1	no	—
500	C₂²×C₄₃	—	2	1	no	—
501	C₂²×C₄₃	—	2	1	no	—
502	C₂²×C₄₃	—	2	1	no	—
503	C₂²×C₄₃	—	2	1	no	—
504	C₂²×C₄₃	—	2	1	no	—
505	C₂²×C₄₃	—	4	2	no	—
506	C₂²×C₄₃	—	4	2	no	—
507	C₂²×C₄₃	—	4	2	no	—
508	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
509	C₂×D₄₃	—	2	1	no	—
510	C₂×D₄₃	—	2	1	no	—
511	C₂×D₄₃	—	2	1	no	—
512	C₂×D₄₃	—	2	1	no	—
513	C₂×D₄₃	—	2	1	no	—
514	C₂×D₄₃	—	2	1	no	—
515	C₂×D₄₃	—	2	1	no	—
516	C₂×D₄₃	—	2	1	no	—
517	C₂×D₄₃	—	4	4	no	—
518	C₂×D₄₃	#547	1	2	yes	—
519	C₄×C₄₃	—	2	1	no	—
520	C₄×C₄₃	—	2	1	no	—
521	C₄×C₄₃	—	2	1	no	—
522	C₄×C₄₃	—	2	1	no	—
523	C₄×C₄₃	—	4	2	no	—
524	C₄×C₄₃	—	4	2	no	—
525	C₄×C₄₃	—	4	2	no	—
526	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
527	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
528	Dic₄₃	—	2	1	no	—
529	Dic₄₃	—	2	1	no	—
530	Dic₄₃	—	2	1	no	—
531	Dic₄₃	—	2	1	no	—
532	Dic₄₃	—	4	2	no	—
533	Dic₄₃	—	4	2	no	—
534	Dic₄₃	—	4	2	no	—
535	Dic₄₃	—	4	2	no	—
536	Dic₄₃	#547	1	2	yes	—
537	#3493	—	43	2	no	—
538	#3350	—	43	2	no	—
539	#3350	—	43	2	no	—
540	#3348	—	43	2	no	—
541	#3348	—	43	2	no	—
542	#3342	—	43	1	no	—
543	#3342	—	43	1	no	—
544	#3341	—	43	1	no	—
545	#3341	—	43	1	no	—
546	#3339	—	43	1	no	—
547	#3339	D₄₃	1	1	yes	characteristic, complemented
548	#3336	—	43	1	no	—
549	#3336	—	43	1	no	—
550	#3164	—	43	1	no	—
551	#3099	—	43	2	no	—
552	#3093	—	43	2	no	—
553	#3084	—	43	2	no	—
554	#3061	—	43	1	no	—
555	#3050	—	43	1	no	—
556	#2951	—	43	1	no	—
557	#2929	—	43	1	no	—
558	#2913	—	43	1	no	—
559	C₂×#427	—	43	1	no	—
560	C₂×C₄₃	—	4	1	no	—
561	C₂×C₄₃	—	4	1	no	—
562	C₂×C₄₃	—	8	2	no	—
563	C₂×C₄₃	C₂×#547	1	1	yes	characteristic
564	C₂×C₄₃	#3584	1	1	yes	characteristic
565	C₂×C₄₃	#3584	1	1	yes	characteristic
566	D₄₃	—	2	2	no	—
567	D₄₃	—	4	1	no	—
568	D₄₃	—	4	1	no	—
569	C₂×#135	—	43	1	no	—
570	C₂×#131	—	43	1	no	—
571	C₂³×C₈	—	43	1	no	—
572	#556	—	43	2	no	—
573	#556	—	43	2	no	—
574	#556	—	86	2	no	—
575	#555	—	43	2	no	—
576	#555	—	43	2	no	—
577	#555	—	86	2	no	—
578	#553	—	43	2	no	—
579	#553	—	86	2	no	—
580	#553	C₂×D₄₃	1	2	yes	—
581	#552	—	43	2	no	—
582	#552	—	43	2	no	—
583	#552	—	86	2	no	—
584	#544	—	43	2	no	—
585	#538	—	86	2	no	—
586	#538	—	86	2	no	—
587	#537	—	43	2	no	—
588	#529	—	86	2	no	—
589	#529	—	86	2	no	—
590	#525	—	43	1	no	—
591	#525	—	43	2	no	—
592	#520	—	43	2	no	—
593	#520	—	43	2	no	—
594	C₂×#117	—	43	2	no	—
595	#501	—	43	2	no	—
596	#501	—	43	2	no	—
597	#500	—	43	1	no	—
598	#500	—	43	1	no	—
599	#499	—	43	1	no	—
600	#499	C₂×D₄₃	1	1	yes	characteristic, complemented
601	#485	—	43	2	no	—
602	#485	—	43	2	no	—
603	#485	—	43	2	no	—
604	#485	—	43	2	no	—
605	#485	—	43	2	no	—
606	#485	—	43	2	no	—
607	#483	—	43	2	no	—
608	#483	—	43	2	no	—
609	#482	—	43	2	no	—
610	#482	—	43	2	no	—
611	#482	—	43	2	no	—
612	#482	—	43	2	no	—
613	#482	—	43	2	no	—
614	#482	C₂×D₄₃	1	2	yes	—
615	#481	—	43	2	no	—
616	#481	C₂×D₄₃	1	2	yes	complemented
617	#479	—	43	2	no	—
618	#479	—	43	2	no	—
619	#478	—	43	2	no	—
620	#478	C₂×D₄₃	1	2	yes	complemented
621	#476	—	43	2	no	—
622	#476	—	43	2	no	—
623	#475	—	43	2	no	—
624	#475	—	43	2	no	—
625	#468	—	43	2	no	—
626	#468	—	43	2	no	—
627	#467	—	43	1	no	—
628	#467	—	43	1	no	—
629	#467	—	43	1	no	—
630	#467	—	43	1	no	—
631	#466	—	43	1	no	—
632	#466	—	43	1	no	—
633	#466	C₂×D₄₃	1	1	yes	characteristic
634	#466	C₂×D₄₃	1	1	yes	characteristic, complemented
635	#465	—	43	2	no	—
636	#465	—	43	2	no	—
637	#440	—	43	2	no	—
638	#440	—	43	2	no	—
639	C₄×Q₁₆	—	43	1	no	—
640	C₄×Q₁₆	—	43	1	no	—
641	C₄×D₈	—	43	1	no	—
642	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
643	#435	—	43	1	no	—
644	#435	—	43	1	no	—
645	#435	—	43	1	no	—
646	#435	—	43	1	no	—
647	C₈×D₄	—	43	1	no	—
648	C₈×D₄	—	43	1	no	—
649	C₈×D₄	—	43	1	no	—
650	C₈×D₄	C₂×D₄₃	1	1	yes	characteristic
651	#428	—	43	2	no	—
652	#428	—	43	2	no	—
653	#428	—	43	2	no	—
654	#428	—	43	2	no	—
655	#427	—	43	1	no	—
656	#427	—	43	1	no	—
657	#427	—	43	2	no	—
658	#427	—	43	1	no	—
659	#427	—	43	1	no	—
660	#427	—	43	1	no	—
661	#427	—	43	1	no	—
662	#427	—	43	2	no	—
663	#427	C₂×D₄₃	1	1	yes	characteristic
664	C₂×#107	—	43	1	no	—
665	C₂×#107	—	43	1	no	—
666	C₂×#107	—	43	1	no	—
667	C₂×#107	C₂×D₄₃	1	1	yes	characteristic, complemented
668	C₂×#106	—	43	2	no	—
669	#424	—	43	1	no	—
670	#417	—	43	2	no	—
671	#417	—	43	2	no	—
672	#416	—	43	2	no	—
673	#408	—	43	1	no	—
674	#407	—	43	1	no	—
675	#405	—	43	1	no	—
676	C₄₃	#61261	1	1	yes	characteristic, complemented, Sylow
677	C₂×#41	—	43	1	no	—
678	C₂×#41	—	43	2	no	—
679	C₂³×C₄	—	43	1	no	—
680	#135	—	86	4	no	—
681	C₂×Q₁₆	—	43	1	no	—
682	C₂×SD₁₆	—	43	2	no	—
683	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
684	#131	—	86	4	no	—
685	C₂×M₁₆	—	43	1	no	—
686	C₂×M₁₆	—	43	1	no	—
687	C₂×M₁₆	—	43	1	no	—
688	C₂×M₁₆	—	43	1	no	—
689	C₂²×C₈	—	43	1	no	—
690	C₂²×C₈	—	43	1	no	—
691	C₂²×C₈	—	43	1	no	—
692	C₂²×C₈	—	43	1	no	—
693	C₂²×C₈	—	43	1	no	—
694	C₂²×C₈	—	43	1	no	—
695	C₂²×C₈	—	86	4	no	—
696	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
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	#126	—	2	2	no	—
702	#126	—	86	2	no	—
703	#126	—	86	2	no	—
704	#126	—	86	2	no	—
705	#126	—	86	2	no	—
706	#126	—	86	2	no	—
707	#126	—	86	2	no	—
708	#126	—	86	2	no	—
709	#125	—	43	2	no	—
710	#125	—	86	2	no	—
711	#125	—	86	2	no	—
712	#125	—	86	2	no	—
713	#125	C₂²×D₄₃	1	2	yes	—
714	#124	—	86	2	no	—
715	#124	—	86	2	no	—
716	#124	—	86	2	no	—
717	#124	—	86	2	no	—
718	#124	—	86	2	no	—
719	#124	—	86	2	no	—
720	#123	—	2	2	no	—
721	#123	—	43	1	no	—
722	#123	—	43	1	no	—
723	#123	—	86	2	no	—
724	#123	—	86	2	no	—
725	#123	—	86	2	no	—
726	#123	—	86	2	no	—
727	C₂²⋊Q₈	—	43	1	no	—
728	C₂²⋊Q₈	—	43	1	no	—
729	C₂²⋊Q₈	—	43	2	no	—
730	C₂²⋊Q₈	—	43	2	no	—
731	C₂²⋊Q₈	—	43	2	no	—
732	C₂²⋊Q₈	—	43	2	no	—
733	C₂²⋊Q₈	—	86	2	no	—
734	C₂²⋊Q₈	—	86	2	no	—
735	C₂²⋊Q₈	—	86	2	no	—
736	#121	—	2	2	no	—
737	#121	—	43	1	no	—
738	#121	—	43	1	no	—
739	#121	—	43	2	no	—
740	#121	—	43	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	C₂²×D₄₃	1	2	yes	—
748	#121	C₂²×D₄₃	1	2	yes	—
749	#120	—	43	1	no	—
750	#120	—	43	1	no	—
751	#120	—	86	2	no	—
752	C₄×Q₈	—	43	2	no	—
753	C₄×Q₈	—	43	2	no	—
754	C₄×Q₈	—	86	2	no	—
755	C₄×Q₈	—	86	2	no	—
756	C₄×Q₈	—	86	2	no	—
757	C₄×D₄	—	2	2	no	—
758	C₄×D₄	—	43	1	no	—
759	C₄×D₄	—	43	1	no	—
760	C₄×D₄	—	43	2	no	—
761	C₄×D₄	—	43	1	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	—	86	2	no	—
769	C₄×D₄	—	86	2	no	—
770	C₄×D₄	C₂²×D₄₃	1	2	yes	—
771	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
772	#117	—	43	1	no	—
773	#117	—	43	2	no	—
774	#117	—	43	2	no	—
775	#117	—	43	2	no	—
776	#117	—	43	2	no	—
777	#117	—	43	2	no	—
778	#117	—	43	2	no	—
779	#117	—	86	2	no	—
780	#117	—	86	2	no	—
781	#117	—	86	2	no	—
782	#117	—	86	2	no	—
783	#117	—	86	2	no	—
784	#117	—	86	2	no	—
785	#117	—	86	2	no	—
786	#117	C₂²×D₄₃	1	2	yes	—
787	C₂×C₄⋊C₄	—	43	2	no	—
788	C₂×C₄⋊C₄	—	43	2	no	—
789	C₂×C₄⋊C₄	—	43	2	no	—
790	C₂×C₄⋊C₄	—	86	2	no	—
791	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
792	C₂×C₂²⋊C₄	—	86	2	no	—
793	C₂×C₄²	—	86	2	no	—
794	#107	—	43	1	no	—
795	#107	—	43	1	no	—
796	#107	—	43	1	no	—
797	#107	—	43	2	no	—
798	#107	—	43	2	no	—
799	#107	—	43	2	no	—
800	#107	—	43	2	no	—
801	#107	—	43	2	no	—
802	#107	C₂²×D₄₃	1	1	yes	characteristic
803	#107	C₂²×D₄₃	1	1	yes	characteristic
804	#107	C₂²×D₄₃	1	1	yes	characteristic
805	#107	C₂²×D₄₃	1	2	yes	—
806	#106	—	43	2	no	—
807	#106	—	43	2	no	—
808	#106	—	43	2	no	—
809	#106	—	43	2	no	—
810	#106	—	43	2	no	—
811	#106	—	43	2	no	—
812	#106	—	43	2	no	—
813	#106	C₂²×D₄₃	1	2	yes	—
814	#106	C₂²×D₄₃	1	2	yes	—
815	C₄⋊C₈	—	43	1	no	—
816	C₄⋊C₈	—	43	1	no	—
817	C₄⋊C₈	—	43	1	no	—
818	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
819	#103	—	43	2	no	—
820	#103	—	43	2	no	—
821	#103	—	43	2	no	—
822	#103	—	43	2	no	—
823	#103	—	43	2	no	—
824	#103	—	43	2	no	—
825	#102	—	43	2	no	—
826	#102	—	43	2	no	—
827	#102	—	43	2	no	—
828	#102	C₂²×D₄₃	1	2	yes	—
829	#102	C₂²×D₄₃	1	2	yes	—
830	#102	C₂²×D₄₃	1	2	yes	—
831	C₂²⋊C₈	—	43	1	no	—
832	C₂²⋊C₈	—	43	1	no	—
833	C₂²⋊C₈	—	43	1	no	—
834	C₂²⋊C₈	—	43	1	no	—
835	C₂²⋊C₈	—	43	1	no	—
836	C₂²⋊C₈	—	43	1	no	—
837	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
838	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
839	#97	—	43	1	no	—
840	#97	—	43	1	no	—
841	C₄×C₈	—	43	1	no	—
842	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
843	C₂⁴	—	43	1	no	—
844	#41	—	86	2	no	—
845	#41	—	86	2	no	—
846	#41	—	86	4	no	—
847	#41	—	86	4	no	—
848	C₂×Q₈	—	43	1	no	—
849	C₂×Q₈	—	43	2	no	—
850	C₂×Q₈	—	86	2	no	—
851	C₂×Q₈	—	86	2	no	—
852	C₂×D₄	—	2	2	no	—
853	C₂×D₄	—	2	2	no	—
854	C₂×D₄	—	43	1	no	—
855	C₂×D₄	—	43	1	no	—
856	C₂×D₄	—	43	1	no	—
857	C₂×D₄	—	43	1	no	—
858	C₂×D₄	—	43	1	no	—
859	C₂×D₄	—	43	1	no	—
860	C₂×D₄	—	86	2	no	—
861	C₂×D₄	—	86	2	no	—
862	C₂×D₄	—	86	2	no	—
863	C₂×D₄	D₄×D₄₃	1	1	yes	characteristic
864	C₂×D₄	C₂³×D₄₃	1	2	yes	—
865	C₂²×C₄	—	2	2	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	43	1	no	—
868	C₂²×C₄	—	43	1	no	—
869	C₂²×C₄	—	43	1	no	—
870	C₂²×C₄	—	43	1	no	—
871	C₂²×C₄	—	43	1	no	—
872	C₂²×C₄	—	43	1	no	—
873	C₂²×C₄	—	86	2	no	—
874	C₂²×C₄	—	86	2	no	—
875	C₂²×C₄	—	86	2	no	—
876	C₂²×C₄	—	86	2	no	—
877	C₂²×C₄	—	86	2	no	—
878	C₂²×C₄	—	86	2	no	—
879	C₂²×C₄	—	86	2	no	—
880	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
881	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
882	Q₁₆	—	86	2	no	—
883	SD₁₆	—	86	4	no	—
884	D₈	—	2	2	no	—
885	M₁₆	—	86	2	no	—
886	M₁₆	—	86	2	no	—
887	M₁₆	—	86	2	no	—
888	M₁₆	—	86	2	no	—
889	C₂×C₈	—	2	2	no	—
890	C₂×C₈	—	2	2	no	—
891	C₂×C₈	—	43	1	no	—
892	C₂×C₈	—	43	4	no	—
893	C₂×C₈	—	43	1	no	—
894	C₂×C₈	—	43	1	no	—
895	C₂×C₈	—	43	1	no	—
896	C₂×C₈	—	86	2	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	—	2	2	no	—
908	C₄⋊C₄	—	43	1	no	—
909	C₄⋊C₄	—	43	1	no	—
910	C₄⋊C₄	—	43	1	no	—
911	C₄⋊C₄	—	43	1	no	—
912	C₄⋊C₄	—	43	1	no	—
913	C₄⋊C₄	—	43	2	no	—
914	C₄⋊C₄	—	43	2	no	—
915	C₄⋊C₄	—	43	2	no	—
916	C₄⋊C₄	—	86	2	no	—
917	C₄⋊C₄	—	86	2	no	—
918	C₄⋊C₄	—	86	2	no	—
919	C₄⋊C₄	—	86	2	no	—
920	C₄⋊C₄	—	86	2	no	—
921	C₄⋊C₄	—	86	2	no	—
922	C₄⋊C₄	—	86	2	no	—
923	C₄⋊C₄	—	86	2	no	—
924	C₄⋊C₄	—	86	2	no	—
925	C₄⋊C₄	—	86	2	no	—
926	C₄⋊C₄	—	86	2	no	—
927	C₄⋊C₄	—	86	2	no	—
928	C₄⋊C₄	—	86	2	no	—
929	C₄⋊C₄	D₄×D₄₃	1	1	yes	characteristic
930	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
931	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
932	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	2	no	—
936	C₂²⋊C₄	—	2	2	no	—
937	C₂²⋊C₄	—	43	1	no	—
938	C₂²⋊C₄	—	43	1	no	—
939	C₂²⋊C₄	—	43	1	no	—
940	C₂²⋊C₄	—	43	1	no	—
941	C₂²⋊C₄	—	43	1	no	—
942	C₂²⋊C₄	—	43	1	no	—
943	C₂²⋊C₄	—	43	1	no	—
944	C₂²⋊C₄	—	43	1	no	—
945	C₂²⋊C₄	—	86	2	no	—
946	C₂²⋊C₄	—	86	2	no	—
947	C₂²⋊C₄	—	86	2	no	—
948	C₂²⋊C₄	—	86	2	no	—
949	C₂²⋊C₄	—	86	2	no	—
950	C₂²⋊C₄	—	86	2	no	—
951	C₂²⋊C₄	—	86	2	no	—
952	C₂²⋊C₄	—	86	2	no	—
953	C₂²⋊C₄	—	86	2	no	—
954	C₂²⋊C₄	—	86	2	no	—
955	C₂²⋊C₄	—	86	2	no	—
956	C₂²⋊C₄	—	86	2	no	—
957	C₂²⋊C₄	—	86	2	no	—
958	C₂²⋊C₄	D₄×D₄₃	1	1	yes	characteristic
959	C₂²⋊C₄	D₄×D₄₃	1	1	yes	characteristic
960	C₄²	—	2	2	no	—
961	C₄²	—	43	1	no	—
962	C₄²	—	86	2	no	—
963	C₄²	—	86	2	no	—
964	C₄²	—	86	2	no	—
965	C₄²	—	86	2	no	—
966	C₄²	—	86	2	no	—
967	C₄²	—	86	2	no	—
968	C₄²	—	86	2	no	—
969	C₄²	—	86	2	no	—
970	C₄²	C₂³×D₄₃	1	1	yes	characteristic
971	C₂³	—	2	2	no	—
972	C₂³	—	43	1	no	—
973	C₂³	—	43	1	no	—
974	C₂³	—	43	1	no	—
975	C₂³	—	86	2	no	—
976	C₂³	—	172	1	no	—
977	C₂³	—	172	1	no	—
978	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
979	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
980	Q₈	—	86	2	no	—
981	Q₈	—	86	2	no	—
982	Q₈	—	86	2	no	—
983	Q₈	—	344	2	no	—
984	Q₈	—	344	2	no	—
985	D₄	—	2	2	no	—
986	D₄	—	2	2	no	—
987	D₄	—	4	1	no	—
988	D₄	—	8	2	no	—
989	D₄	—	8	2	no	—
990	D₄	—	86	2	no	—
991	D₄	—	86	2	no	—
992	D₄	—	86	2	no	—
993	D₄	—	344	2	no	—
994	D₄	—	344	2	no	—
995	D₄	—	172	1	no	—
996	D₄	—	172	1	no	—
997	D₄	—	172	1	no	—
998	D₄	—	172	4	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	8	2	no	—
1007	C₂×C₄	—	8	2	no	—
1008	C₂×C₄	—	43	1	no	—
1009	C₂×C₄	—	43	2	no	—
1010	C₂×C₄	—	43	2	no	—
1011	C₂×C₄	—	43	1	no	—
1012	C₂×C₄	—	43	1	no	—
1013	C₂×C₄	—	43	1	no	—
1014	C₂×C₄	—	43	1	no	—
1015	C₂×C₄	—	86	2	no	—
1016	C₂×C₄	—	86	2	no	—
1017	C₂×C₄	—	86	2	no	—
1018	C₂×C₄	—	86	1	no	—
1019	C₂×C₄	—	86	1	no	—
1020	C₂×C₄	—	86	1	no	—
1021	C₂×C₄	—	86	1	no	—
1022	C₂×C₄	—	86	2	no	—
1023	C₂×C₄	—	86	2	no	—
1024	C₂×C₄	—	86	2	no	—
1025	C₂×C₄	—	86	2	no	—
1026	C₂×C₄	—	344	2	no	—
1027	C₂×C₄	—	344	2	no	—
1028	C₂×C₄	—	344	2	no	—
1029	C₂×C₄	—	344	2	no	—
1030	C₂×C₄	—	172	4	no	—
1031	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1032	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1033	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1034	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1035	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1036	C₈	—	2	1	no	—
1037	C₈	—	2	1	no	—
1038	C₈	—	2	1	no	—
1039	C₈	—	43	2	no	—
1040	C₈	—	86	1	no	—
1041	C₈	—	86	1	no	—
1042	C₈	—	86	1	no	—
1043	C₈	#41×D₄₃	1	2	yes	—
1044	C₂²	—	2	1	no	—
1045	C₂²	—	2	1	no	—
1046	C₂²	—	2	1	no	—
1047	C₂²	—	2	1	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	1	no	—
1050	C₂²	—	4	2	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	43	2	no	—
1054	C₂²	—	86	1	no	—
1055	C₂²	—	86	1	no	—
1056	C₂²	—	86	1	no	—
1057	C₂²	—	86	1	no	—
1058	C₂²	—	86	1	no	—
1059	C₂²	—	86	1	no	—
1060	C₂²	—	86	1	no	—
1061	C₂²	—	86	1	no	—
1062	C₂²	—	172	4	no	—
1063	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1064	C₄	—	2	1	no	—
1065	C₄	—	2	1	no	—
1066	C₄	—	2	1	no	—
1067	C₄	—	2	1	no	—
1068	C₄	—	4	2	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	2	no	—
1071	C₄	—	43	2	no	—
1072	C₄	—	86	1	no	—
1073	C₄	—	86	1	no	—
1074	C₄	—	86	1	no	—
1075	C₄	—	86	1	no	—
1076	C₄	—	172	2	no	—
1077	C₄	—	172	2	no	—
1078	C₄	—	172	2	no	—
1079	C₄	—	172	2	no	—
1080	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1081	C₄	2₋¹⁺⁴×D₄₃	1	1	yes	characteristic
1082	C₂	—	4	1	no	—
1083	C₂	—	4	1	no	—
1084	C₂	—	8	2	no	—
1085	C₂	—	86	2	no	—
1086	C₂	—	172	1	no	—
1087	C₂	—	172	1	no	—
1088	C₂	#547×D₄₃	1	1	yes	characteristic
1089	C₂	#19149363	1	1	yes	characteristic
1090	C₂	#19149364	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3339	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3339	D₄₃
hypocenter	C₄₃	#61261
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3339

Complements

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

N	H ≅ G/N	type
1. #19148311	C₂	semidirect
2. #19147144	C₂	semidirect
3. #19147134	C₂	semidirect
4. #19147113	C₂	semidirect
5. #19147107	C₂	semidirect
6. #19147026	C₂	semidirect
7. #19147023	C₂	semidirect
8. #19147019	C₂	semidirect
9. #19147014	C₂	semidirect
10. #19146992	C₂	semidirect
11. #19146962	C₂	semidirect
12. #19146959	C₂	semidirect
13. #19145132	C₂	semidirect
14. #19144585	C₂	semidirect
15. #19144523	C₂	semidirect
16. #19144458	C₂	semidirect
17. #19144260	C₂	semidirect
18. #19144174	C₂	semidirect
19. #19143465	C₂	semidirect
20. #19143284	C₂	semidirect
21. #19143191	C₂	semidirect
22. #427×D₄₃	C₂	semidirect
23. C₄₃×#3339	C₂	semidirect
49. #14583309	C₂²	semidirect
50. #14583306	C₂²	semidirect
51. #14583304	C₂²	semidirect
52. #14583303	C₂²	semidirect
53. #14583300	C₂²	semidirect
55. #14583243	C₂²	semidirect
58. #14583241	C₂²	semidirect
60. #14583231	C₂²	semidirect
61. #14583229	C₂²	semidirect
64. #14583221	C₂²	semidirect
66. #14583220	C₂²	semidirect
67. #14583216	C₂²	semidirect
68. #14583205	C₂²	semidirect
69. #14583203	C₂²	semidirect
70. #14583201	C₂²	semidirect
71. #14583189	C₂²	semidirect
72. #14583187	C₂²	semidirect
73. #14583185	C₂²	semidirect
74. #14583183	C₂²	semidirect
75. #14583144	C₂²	semidirect
76. #14583143	C₂²	semidirect
78. #14583141	C₂²	semidirect
80. #14583140	C₂²	semidirect
82. #14583132	C₂²	semidirect
85. #14582999	C₂²	semidirect
86. #14582996	C₂²	semidirect
87. C₄×Dic₁₇₂	C₂²	semidirect
88. #14582993	C₂²	semidirect
89. D₈×Dic₄₃	C₂²	semidirect
98. #14582940	C₂²	semidirect
99. #14582939	C₂²	semidirect
102. #14582937	C₂²	semidirect
106. #14582936	C₂²	semidirect
111. #107×D₄₃	C₂²	semidirect
121. C₄₃×#499	C₂²	semidirect
123. C₄₃×#481	C₂²	semidirect
124. C₄₃×#478	C₂²	semidirect
126. C₄₃×#466	C₂²	semidirect
127. C₄×D₈×C₄₃	C₂²	semidirect
130. C₂×#107×C₄₃	C₂²	semidirect
547. #3339	D₄₃	semidirect
600. #499	C₂×D₄₃	semidirect
616. #481	C₂×D₄₃	semidirect
620. #478	C₂×D₄₃	semidirect
634. #466	C₂×D₄₃	semidirect
642. C₄×D₈	C₂×D₄₃	semidirect
667. C₂×#107	C₂×D₄₃	semidirect
676. C₄₃	#61261	semidirect

Maximal subgroups

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

subgroup	index
#19148311	2
#19147144	2
#19147134	2
#19147113	2
#19147107	2
#19147026	2
#19147023	2
#19147019	2
#19147014	2
#19146992	2
#19146962	2
#19146959	2
#19145132	2
#19144585	2
#19144523	2
#19144458	2
#19144260	2
#19144174	2
#19143465	2
#19143284	2
#19143191	2
#427×D₄₃	2
C₄₃×#3339	2
#61261	43