Subgroups — #25975801

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1152 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148330	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148312	C₂	1	1	yes	maximal, characteristic, complemented
3	#19147201	C₂	1	2	yes	maximal, complemented
4	#19147172	C₂	1	2	yes	maximal, complemented
5	#19147143	C₂	1	2	yes	maximal, complemented
6	#19147114	C₂	1	2	yes	maximal, complemented
7	#19147093	C₂	1	2	yes	maximal, complemented
8	#19147058	C₂	1	2	yes	maximal, complemented
9	#19147012	C₂	1	2	yes	maximal, complemented
10	#19146977	C₂	1	2	yes	maximal, complemented
11	#19145135	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144571	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144556	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583224	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144455	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144429	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144278	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144216	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143430	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143316	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143187	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143184	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063350	C₂²	1	1	yes	characteristic
25	C₂×#13063331	C₂²	1	1	yes	characteristic
26	C₂²×#10621877	C₂²	1	1	yes	characteristic
27	#14583620	C₂²	1	2	yes	complemented
28	#14583619	—	2	1	no	—
29	#14583614	—	2	1	no	—
30	#14583613	C₂²	1	2	yes	complemented
31	#14583612	C₂²	1	2	yes	—
32	#14583597	C₂²	1	2	yes	—
33	#14583596	C₂²	1	2	yes	complemented
34	#14583595	—	2	1	no	—
35	#14583593	C₂²	1	2	yes	—
36	#14583589	—	2	1	no	—
37	#14583583	C₂²	1	2	yes	complemented
38	#14583573	—	2	2	no	—
39	#14583550	C₂²	1	2	yes	—
40	#14583539	—	2	2	no	—
41	#14583527	C₂²	1	1	yes	characteristic
42	#14583527	C₂²	1	1	yes	characteristic
43	#14583520	—	2	1	no	—
44	#14583504	—	2	1	no	—
45	#14583484	—	2	2	no	—
46	#14583477	C₂²	1	1	yes	characteristic
47	#14583468	C₂²	1	1	yes	characteristic
48	#14583449	—	2	1	no	—
49	#14583433	—	2	1	no	—
50	#14583426	—	2	2	no	—
51	#14583410	C₂²	1	1	yes	characteristic
52	C₂×#13063299	C₂²	1	1	yes	characteristic
53	#14583382	C₂²	1	1	yes	characteristic
54	#14583379	C₂²	1	1	yes	characteristic
55	#14583379	C₂²	1	1	yes	characteristic
56	#14583373	C₂²	1	1	yes	characteristic
57	C₂×#13063284	C₂²	1	1	yes	characteristic
58	#14583306	C₂²	1	2	yes	complemented
59	#14583306	C₂²	1	2	yes	complemented
60	#14583303	C₂²	1	2	yes	complemented
61	#14583300	C₂²	1	2	yes	complemented
62	#14583239	C₂²	1	2	yes	complemented
63	#14583233	C₂²	1	2	yes	complemented
64	#14583226	C₂²	1	2	yes	complemented
65	#14583225	C₂²	1	2	yes	complemented
66	#14583224	C₂²	1	2	yes	—
67	#14583224	C₂²	1	2	yes	—
68	#14583224	C₂²	1	2	yes	—
69	#14583224	C₂²	1	2	yes	—
70	#14583221	C₂²	1	2	yes	complemented
71	#14583219	C₂²	1	2	yes	complemented
72	#14583214	C₂²	1	2	yes	complemented
73	#14583211	C₂²	1	2	yes	complemented
74	#14583204	C₂²	1	2	yes	complemented
75	#14583202	C₂²	1	2	yes	complemented
76	#14583201	C₂²	1	2	yes	complemented
77	#14583198	C₂²	1	2	yes	complemented
78	#14583188	C₂²	1	2	yes	complemented
79	#14583187	C₂²	1	2	yes	complemented
80	#14583182	C₂²	1	2	yes	complemented
81	#14583178	C₂²	1	2	yes	complemented
82	#14583151	C₂²	1	2	yes	complemented
83	#14583150	C₂²	1	2	yes	—
84	#14583148	C₂²	1	2	yes	complemented
85	#14583147	C₂²	1	2	yes	—
86	#14583134	C₂²	1	2	yes	complemented
87	#14583133	C₂²	1	2	yes	—
88	#14583131	C₂²	1	2	yes	complemented
89	#14583130	C₂²	1	2	yes	—
90	#14583008	C₂²	1	2	yes	complemented
91	#14583002	C₂²	1	2	yes	complemented
92	#14582984	C₂²	1	2	yes	complemented
93	#14582979	C₂²	1	2	yes	complemented
94	#14582974	C₂²	1	2	yes	complemented
95	#14582973	C₂²	1	2	yes	complemented
96	#14582967	C₂²	1	2	yes	complemented
97	(C₂²⋊D₄₃)⋊C₈	C₂²	1	2	yes	complemented
98	#14582942	C₂²	1	1	yes	characteristic
99	#14582942	C₂²	1	1	yes	characteristic
100	#14582942	C₂²	1	1	yes	characteristic
101	#14582942	C₂²	1	1	yes	characteristic
102	#14582942	C₂²	1	1	yes	characteristic
103	#14582940	C₂²	1	2	yes	complemented
104	#14582940	C₂²	1	2	yes	complemented
105	#14582939	C₂²	1	2	yes	complemented
106	#14582939	C₂²	1	2	yes	complemented
107	#14582935	C₂²	1	2	yes	complemented
108	#14582935	C₂²	1	2	yes	complemented
109	#14582934	C₂²	1	2	yes	complemented
110	C₂×#13063259	C₂²	1	1	yes	characteristic
111	C₂×#13063257	C₂²	1	1	yes	characteristic
112	#106×D₄₃	C₂²	1	2	yes	complemented
113	#14582925	C₂²	1	1	yes	characteristic
114	#14582903	C₂²	1	1	yes	characteristic
115	#14582900	C₂²	1	1	yes	characteristic
116	C₂×#13063247	C₂²	1	1	yes	characteristic
117	C₂×#13063247	C₂²	1	1	yes	characteristic
118	#14582865	C₂²	1	1	yes	characteristic
119	#14582854	C₂²	1	1	yes	characteristic
120	C₄₃×#525	C₂²	1	1	yes	characteristic
121	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
122	C₄₃×#485	C₂²	1	1	yes	characteristic, complemented
123	C₄₃×#485	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#484	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#483	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#482	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#482	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#481	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#480	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#427	C₂²	1	1	yes	characteristic
131	C₄₃×#427	C₂²	1	1	yes	characteristic
132	C₄₃×#416	C₂²	1	1	yes	characteristic
133	C₄₃×#416	C₂²	1	1	yes	characteristic
134	C₂×C₂²⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
135	C₂×#10621898	—	2	2	no	—
136	C₂×#10621898	C₂³	1	1	yes	characteristic
137	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
138	C₂²×C₂²⋊D₄₃	—	2	1	no	—
139	#13063350	—	2	4	no	—
140	C₂×#10621884	C₂³	1	2	yes	—
141	C₂×#10621882	C₂³	1	2	yes	—
142	#13063331	—	2	4	no	—
143	C₂×#10621877	—	2	4	no	—
144	C₂×#10621877	C₂³	1	1	yes	characteristic
145	C₂×#10621877	C₂³	1	2	yes	—
146	C₂×#10621877	C₂³	1	1	yes	characteristic
147	C₂×#10621872	C₂³	1	2	yes	—
148	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
149	C₂×C₈×D₄₃	C₂³	1	2	yes	—
150	#13063325	—	2	1	no	—
151	#13063325	—	2	1	no	—
152	#13063324	C₂³	1	2	yes	—
153	#13063324	C₂³	1	2	yes	—
154	#13063322	—	2	1	no	—
155	#13063320	—	2	2	no	—
156	#13063320	—	2	2	no	—
157	#13063319	—	2	2	no	—
158	#13063318	—	2	2	no	—
159	#13063318	—	2	2	no	—
160	#13063318	—	2	2	no	—
161	#13063317	—	2	1	no	—
162	#13063317	—	2	1	no	—
163	#13063316	C₂³	1	2	yes	—
164	#13063316	C₂³	1	2	yes	—
165	#13063315	—	2	2	no	—
166	#13063313	—	2	1	no	—
167	#13063313	—	2	2	no	—
168	#13063312	—	2	2	no	—
169	#13063311	—	2	2	no	—
170	#13063311	—	2	2	no	—
171	#13063311	—	2	2	no	—
172	#13063310	—	2	2	no	—
173	#13063310	—	2	2	no	—
174	#13063308	—	2	2	no	—
175	#13063308	D₄	1	2	yes	—
176	#13063307	—	2	2	no	—
177	#13063307	—	2	2	no	—
178	#13063306	—	2	2	no	—
179	#13063304	—	2	1	no	—
180	#13063304	D₄	1	1	yes	characteristic
181	#13063304	D₄	1	1	yes	characteristic
182	#13063303	—	2	2	no	—
183	#13063302	—	2	2	no	—
184	#13063302	—	2	2	no	—
185	#13063301	C₂³	1	2	yes	—
186	#13063300	C₂³	1	2	yes	—
187	#13063300	C₂³	1	2	yes	—
188	#13063299	—	2	1	no	—
189	#13063299	—	2	1	no	—
190	#13063299	—	2	2	no	—
191	#13063299	—	2	1	no	—
192	#13063299	D₄	1	1	yes	characteristic
193	#13063299	D₄	1	1	yes	characteristic
194	#13063299	C₂³	1	2	yes	—
195	#13063299	C₂³	1	2	yes	—
196	#13063298	—	2	2	no	—
197	#13063298	—	2	2	no	—
198	#13063297	—	2	2	no	—
199	#13063297	—	2	2	no	—
200	#13063296	—	2	2	no	—
201	#13063296	C₂³	1	2	yes	—
202	#13063295	—	2	2	no	—
203	#13063294	D₄	1	2	yes	—
204	Q₈×Dic₄₃	C₂³	1	2	yes	—
205	C₄×Dic₈₆	—	2	1	no	—
206	C₄×Dic₈₆	—	2	1	no	—
207	#13063290	—	2	2	no	—
208	C₄×D₁₇₂	—	2	1	no	—
209	C₄×D₁₇₂	—	2	1	no	—
210	C₄×D₁₇₂	—	2	2	no	—
211	C₄×D₁₇₂	—	2	1	no	—
212	C₄×D₁₇₂	—	2	1	no	—
213	D₄×Dic₄₃	—	2	2	no	—
214	D₄×Dic₄₃	C₂³	1	2	yes	—
215	#13063287	C₂³	1	2	yes	—
216	#13063287	C₂³	1	2	yes	—
217	C₄×C₂²⋊D₄₃	—	2	2	no	—
218	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
219	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
221	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
222	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
223	#13063284	—	2	1	no	—
224	#13063284	—	2	1	no	—
225	#13063284	—	2	1	no	—
226	#13063284	C₂³	1	2	yes	—
227	#13063284	C₂³	1	2	yes	—
228	#13063284	C₂³	1	1	yes	characteristic
229	#13063283	—	2	2	no	—
230	#13063283	C₂³	1	2	yes	—
231	#13063283	C₂³	1	2	yes	—
232	#13063282	—	2	2	no	—
233	#13063281	—	2	2	no	—
234	C₂×C₄⋊Dic₄₃	—	2	1	no	—
235	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
239	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
240	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
241	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
242	C₂²⋊C₄×D₄₃	—	2	2	no	—
243	C₂×C₄×Dic₄₃	—	2	1	no	—
244	#13063259	C₂³	1	2	yes	—
245	#13063259	C₂³	1	2	yes	—
246	#13063258	C₂³	1	2	yes	—
247	#13063258	C₂³	1	2	yes	—
248	#13063258	C₂³	1	2	yes	—
249	#13063258	C₂³	1	2	yes	—
250	#13063258	C₂³	1	2	yes	—
251	#13063257	C₂³	1	2	yes	—
252	#13063257	C₂³	1	2	yes	—
253	#13063256	C₂³	1	2	yes	—
254	#13063256	C₂³	1	2	yes	—
255	#13063256	C₂³	1	2	yes	—
256	#13063256	C₂³	1	2	yes	—
257	#13063256	C₂³	1	2	yes	—
258	Dic₄₃⋊C₈	C₂³	1	2	yes	—
259	Dic₄₃⋊C₈	C₂³	1	2	yes	—
260	#13063249	C₂³	1	2	yes	—
261	#13063247	C₂³	1	2	yes	—
262	#13063247	C₂³	1	2	yes	—
263	#13063247	C₂³	1	2	yes	—
264	#13063247	C₂³	1	2	yes	—
265	#13063246	C₂³	1	2	yes	—
266	#13063245	C₂³	1	2	yes	—
267	#13063245	C₂³	1	2	yes	—
268	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
269	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
270	#13063235	C₂³	1	2	yes	—
271	C₈×Dic₄₃	C₂³	1	2	yes	—
272	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
273	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
275	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
276	#123×C₄₃	—	2	1	no	—
277	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
278	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
279	#121×C₄₃	C₂³	1	1	yes	characteristic
280	#121×C₄₃	C₂³	1	1	yes	characteristic
281	#120×C₄₃	—	2	1	no	—
282	C₄×D₄×C₄₃	—	2	1	no	—
283	C₄×D₄×C₄₃	—	2	1	no	—
284	#117×C₄₃	—	2	1	no	—
285	#117×C₄₃	—	2	1	no	—
286	#117×C₄₃	C₂³	1	1	yes	characteristic
287	#117×C₄₃	C₂³	1	1	yes	characteristic
288	#117×C₄₃	C₂³	1	1	yes	characteristic
289	#117×C₄₃	C₂³	1	1	yes	characteristic
290	#117×C₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
294	C₂×C₄²×C₄₃	—	2	1	no	—
295	#107×C₄₃	C₂³	1	1	yes	characteristic
296	#107×C₄₃	C₂³	1	1	yes	characteristic
297	#107×C₄₃	C₂³	1	1	yes	characteristic
298	#107×C₄₃	C₂³	1	1	yes	characteristic
299	#106×C₄₃	C₂³	1	1	yes	characteristic
300	#106×C₄₃	C₂³	1	1	yes	characteristic
301	#106×C₄₃	C₂³	1	1	yes	characteristic
302	#106×C₄₃	C₂³	1	1	yes	characteristic
303	#103×C₄₃	C₂³	1	1	yes	characteristic
304	#103×C₄₃	C₂³	1	1	yes	characteristic
305	#103×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#102×C₄₃	C₂³	1	1	yes	characteristic
308	#102×C₄₃	C₂³	1	1	yes	characteristic
309	#102×C₄₃	C₂³	1	1	yes	characteristic
310	#102×C₄₃	C₂³	1	1	yes	characteristic
311	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
312	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
313	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
316	C₂³×D₄₃	—	2	1	no	—
317	#41×C₄₃	—	2	2	no	—
318	#41×C₄₃	—	2	2	no	—
319	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
320	C₂×D₄×C₄₃	—	2	1	no	—
321	C₂×D₄×C₄₃	—	2	1	no	—
322	C₂×D₄×C₄₃	—	2	1	no	—
323	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₄₃	—	2	2	no	—
325	C₂²×C₄×C₄₃	—	2	2	no	—
326	C₂²×C₄×C₄₃	—	2	1	no	—
327	C₂²×C₄×C₄₃	—	2	1	no	—
328	C₂²×C₄×C₄₃	—	2	1	no	—
329	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
330	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
331	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
335	C₂×C₂²⋊D₄₃	—	2	2	no	—
336	C₂×C₂²⋊D₄₃	—	2	2	no	—
337	C₂×C₂²⋊D₄₃	—	2	2	no	—
338	C₂×C₂²⋊D₄₃	—	8	2	no	—
339	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
340	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
341	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
342	C₂²×Dic₄₃	—	2	2	no	—
343	C₂²×Dic₄₃	—	2	1	no	—
344	C₂²×Dic₄₃	—	2	1	no	—
345	C₂²×Dic₄₃	—	2	1	no	—
346	#10621898	—	2	2	no	—
347	#10621898	—	2	2	no	—
348	#10621898	—	8	4	no	—
349	C₂×D₁₇₂	—	2	1	no	—
350	C₂×D₁₇₂	—	2	2	no	—
351	C₂×D₁₇₂	—	2	2	no	—
352	C₂×D₁₇₂	—	2	2	no	—
353	C₂×D₁₇₂	—	2	2	no	—
354	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
355	C₂×D₁₇₂	C₂⁴	1	2	yes	—
356	C₂×C₄×D₄₃	—	2	2	no	—
357	C₂×C₄×D₄₃	—	2	2	no	—
358	C₂×C₄×D₄₃	—	2	2	no	—
359	C₂×C₄×D₄₃	—	2	2	no	—
360	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
361	C₂×Dic₈₆	—	2	2	no	—
362	C₂×Dic₈₆	—	2	2	no	—
363	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
364	C₂×C₈×C₄₃	—	2	2	no	—
365	C₂×C₈×C₄₃	—	2	2	no	—
366	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₄₃	—	2	1	no	—
371	C₄⋊C₄×C₄₃	—	2	1	no	—
372	C₄⋊C₄×C₄₃	—	2	1	no	—
373	C₄⋊C₄×C₄₃	—	2	1	no	—
374	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂²⋊C₄×C₄₃	—	2	1	no	—
381	C₂²⋊C₄×C₄₃	—	2	1	no	—
382	C₂²⋊C₄×C₄₃	—	2	1	no	—
383	C₂²⋊C₄×C₄₃	—	2	1	no	—
384	C₂²⋊C₄×C₄₃	—	2	1	no	—
385	C₂²⋊C₄×C₄₃	—	2	1	no	—
386	C₂²⋊C₄×C₄₃	—	2	1	no	—
387	C₂²⋊C₄×C₄₃	—	2	1	no	—
388	C₂²⋊C₄×C₄₃	—	2	1	no	—
389	C₄²×C₄₃	—	2	1	no	—
390	C₄²×C₄₃	—	2	1	no	—
391	C₄²×C₄₃	—	2	1	no	—
392	C₄²×C₄₃	—	2	1	no	—
393	C₄²×C₄₃	—	2	1	no	—
394	C₂²⋊Dic₄₃	—	2	2	no	—
395	C₂²⋊Dic₄₃	—	2	2	no	—
396	C₂²⋊Dic₄₃	—	2	2	no	—
397	C₂²⋊Dic₄₃	—	2	2	no	—
398	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
399	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
400	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
401	#10621884	—	2	4	no	—
402	#10621882	—	2	4	no	—
403	(C₂×D₄₃)⋊C₄	—	2	2	no	—
404	(C₂×D₄₃)⋊C₄	—	2	2	no	—
405	(C₂×D₄₃)⋊C₄	—	2	2	no	—
406	(C₂×D₄₃)⋊C₄	—	2	2	no	—
407	(C₂×D₄₃)⋊C₄	—	2	2	no	—
408	(C₂×D₄₃)⋊C₄	—	2	2	no	—
409	(C₂×D₄₃)⋊C₄	—	2	2	no	—
410	(C₂×D₄₃)⋊C₄	—	2	2	no	—
411	(C₂×D₄₃)⋊C₄	—	2	2	no	—
412	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
413	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
414	C₄⋊Dic₄₃	—	2	1	no	—
415	C₄⋊Dic₄₃	—	2	1	no	—
416	C₄⋊Dic₄₃	—	2	1	no	—
417	C₄⋊Dic₄₃	—	2	2	no	—
418	C₄⋊Dic₄₃	—	2	2	no	—
419	C₄⋊Dic₄₃	—	2	2	no	—
420	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
421	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
422	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
423	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
424	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
425	Dic₄₃⋊C₄	—	2	2	no	—
426	Dic₄₃⋊C₄	—	2	2	no	—
427	Dic₄₃⋊C₄	—	2	2	no	—
428	Dic₄₃⋊C₄	—	2	2	no	—
429	Dic₄₃⋊C₄	—	2	2	no	—
430	Dic₄₃⋊C₄	—	2	2	no	—
431	Dic₄₃⋊C₄	—	2	2	no	—
432	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
433	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
434	C₄×Dic₄₃	—	2	2	no	—
435	C₄×Dic₄₃	—	2	2	no	—
436	C₄×Dic₄₃	—	2	2	no	—
437	C₄×Dic₄₃	—	2	2	no	—
438	C₄×Dic₄₃	—	2	2	no	—
439	C₄×Dic₄₃	C₂⁴	1	2	yes	—
440	#10621877	—	2	2	no	—
441	#10621877	—	2	4	no	—
442	#10621877	#41	1	4	yes	complemented
443	C₂×C₄₃⋊C₈	—	2	4	no	—
444	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
445	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
446	#10621872	—	2	4	no	—
447	C₈×D₄₃	—	2	4	no	—
448	C₂³×C₄₃	—	2	2	no	—
449	C₂³×C₄₃	—	2	1	no	—
450	C₂³×C₄₃	—	4	1	no	—
451	C₂³×C₄₃	—	4	1	no	—
452	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
453	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
454	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
455	C₂²×D₄₃	—	2	2	no	—
456	C₂²×D₄₃	—	4	2	no	—
457	C₂²×D₄₃	—	8	1	no	—
458	C₂²×D₄₃	—	8	1	no	—
459	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
460	Q₈×C₄₃	—	2	1	no	—
461	Q₈×C₄₃	—	2	1	no	—
462	D₄×C₄₃	—	2	1	no	—
463	D₄×C₄₃	—	2	1	no	—
464	D₄×C₄₃	—	4	2	no	—
465	D₄×C₄₃	—	8	1	no	—
466	D₄×C₄₃	—	8	1	no	—
467	C₂×C₄×C₄₃	—	2	2	no	—
468	C₂×C₄×C₄₃	—	2	2	no	—
469	C₂×C₄×C₄₃	—	2	2	no	—
470	C₂×C₄×C₄₃	—	2	1	no	—
471	C₂×C₄×C₄₃	—	2	1	no	—
472	C₂×C₄×C₄₃	—	2	1	no	—
473	C₂×C₄×C₄₃	—	2	1	no	—
474	C₂×C₄×C₄₃	—	2	1	no	—
475	C₂×C₄×C₄₃	—	2	1	no	—
476	C₂×C₄×C₄₃	—	2	1	no	—
477	C₂×C₄×C₄₃	—	2	1	no	—
478	C₂×C₄×C₄₃	—	2	1	no	—
479	C₂×C₄×C₄₃	—	2	1	no	—
480	C₂×C₄×C₄₃	—	2	1	no	—
481	C₂×C₄×C₄₃	—	4	2	no	—
482	C₂×C₄×C₄₃	—	4	2	no	—
483	C₂×C₄×C₄₃	—	8	1	no	—
484	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
485	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
487	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
488	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
489	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
490	C₂²⋊D₄₃	—	2	4	no	—
491	C₂²⋊D₄₃	—	4	2	no	—
492	C₂²⋊D₄₃	—	4	2	no	—
493	C₂²⋊D₄₃	—	4	4	no	—
494	C₂²⋊D₄₃	—	8	2	no	—
495	C₂²⋊D₄₃	—	8	2	no	—
496	C₂×Dic₄₃	—	2	2	no	—
497	C₂×Dic₄₃	—	2	2	no	—
498	C₂×Dic₄₃	—	2	2	no	—
499	C₂×Dic₄₃	—	8	2	no	—
500	C₂×Dic₄₃	—	8	1	no	—
501	C₂×Dic₄₃	—	8	1	no	—
502	C₂×Dic₄₃	—	8	1	no	—
503	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
504	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
505	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
506	D₁₇₂	—	2	2	no	—
507	D₁₇₂	—	2	2	no	—
508	D₁₇₂	—	2	2	no	—
509	D₁₇₂	—	4	2	no	—
510	D₁₇₂	—	8	2	no	—
511	D₁₇₂	—	8	2	no	—
512	C₄×D₄₃	—	2	2	no	—
513	C₄×D₄₃	—	2	2	no	—
514	C₄×D₄₃	—	8	2	no	—
515	C₄×D₄₃	—	8	2	no	—
516	C₄×D₄₃	—	8	2	no	—
517	C₄×D₄₃	—	8	2	no	—
518	Dic₈₆	—	2	2	no	—
519	Dic₈₆	—	8	2	no	—
520	Dic₈₆	—	8	2	no	—
521	C₈×C₄₃	—	2	1	no	—
522	C₈×C₄₃	—	2	1	no	—
523	C₈×C₄₃	—	2	1	no	—
524	C₈×C₄₃	—	2	1	no	—
525	C₄₃⋊C₈	—	2	2	no	—
526	C₄₃⋊C₈	C₂×#41	1	4	yes	—
527	#61274	—	43	1	no	maximal, Sylow
528	C₂²×C₄₃	—	2	1	no	—
529	C₂²×C₄₃	—	2	1	no	—
530	C₂²×C₄₃	—	2	1	no	—
531	C₂²×C₄₃	—	2	1	no	—
532	C₂²×C₄₃	—	2	1	no	—
533	C₂²×C₄₃	—	2	1	no	—
534	C₂²×C₄₃	—	2	1	no	—
535	C₂²×C₄₃	—	2	1	no	—
536	C₂²×C₄₃	—	4	1	no	—
537	C₂²×C₄₃	—	4	1	no	—
538	C₂²×C₄₃	—	4	1	no	—
539	C₂²×C₄₃	—	8	2	no	—
540	C₂²×C₄₃	#547	1	2	yes	—
541	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
542	C₂×D₄₃	—	2	2	no	—
543	C₂×D₄₃	—	2	2	no	—
544	C₂×D₄₃	—	2	2	no	—
545	C₂×D₄₃	—	4	2	no	—
546	C₂×D₄₃	—	4	2	no	—
547	C₂×D₄₃	—	4	2	no	—
548	C₂×D₄₃	—	16	2	no	—
549	C₄×C₄₃	—	2	1	no	—
550	C₄×C₄₃	—	2	1	no	—
551	C₄×C₄₃	—	4	1	no	—
552	C₄×C₄₃	—	4	1	no	—
553	C₄×C₄₃	—	4	1	no	—
554	C₄×C₄₃	—	4	1	no	—
555	C₄×C₄₃	—	4	1	no	—
556	C₄×C₄₃	—	4	1	no	—
557	C₄×C₄₃	—	4	1	no	—
558	C₄×C₄₃	#547	1	2	yes	—
559	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
560	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
561	Dic₄₃	—	2	2	no	—
562	Dic₄₃	—	2	2	no	—
563	Dic₄₃	—	2	2	no	—
564	Dic₄₃	—	4	2	no	—
565	Dic₄₃	—	4	2	no	—
566	Dic₄₃	—	4	2	no	—
567	#3494	—	43	1	no	—
568	#3493	—	43	1	no	—
569	#3355	—	43	2	no	—
570	#3353	—	43	2	no	—
571	#3350	—	43	2	no	—
572	#3348	—	43	2	no	—
573	#3347	—	43	2	no	—
574	#3345	—	43	2	no	—
575	#3341	—	43	2	no	—
576	#3337	—	43	2	no	—
577	#3164	—	43	1	no	—
578	#3098	—	43	1	no	—
579	#3096	—	43	1	no	—
580	#3091	D₄₃	1	1	yes	characteristic, complemented
581	C₂×#482	—	43	1	no	—
582	#3084	—	43	1	no	—
583	#3081	—	43	1	no	—
584	#3062	—	43	1	no	—
585	#3055	—	43	1	no	—
586	#2946	—	43	1	no	—
587	#2933	—	43	1	no	—
588	#2912	—	43	1	no	—
589	#2911	—	43	1	no	—
590	C₂×C₄₃	—	2	2	no	—
591	C₂×C₄₃	—	4	1	no	—
592	C₂×C₄₃	—	4	1	no	—
593	C₂×C₄₃	—	8	1	no	—
594	C₂×C₄₃	C₂×#547	1	1	yes	characteristic
595	C₂×C₄₃	#3584	1	1	yes	characteristic
596	C₂×C₄₃	#3585	1	1	yes	characteristic
597	D₄₃	—	4	2	no	—
598	D₄₃	—	8	2	no	—
599	C₂×AGL(1,ℤ/8)	—	43	1	no	—
600	C₂×#131	—	43	1	no	—
601	C₂²×M₁₆	—	43	1	no	—
602	#556	—	43	2	no	—
603	#556	—	86	1	no	—
604	#555	—	43	2	no	—
605	#555	—	43	2	no	—
606	#555	—	86	1	no	—
607	#553	—	43	2	no	—
608	#553	—	43	2	no	—
609	#553	—	43	2	no	—
610	#553	—	86	1	no	—
611	#552	—	43	2	no	—
612	#552	—	86	1	no	—
613	#551	—	86	2	no	—
614	#547	—	43	2	no	—
615	#546	—	86	2	no	—
616	#544	—	43	1	no	—
617	#544	—	43	1	no	—
618	#542	—	86	1	no	—
619	#540	—	86	1	no	—
620	#538	—	86	2	no	—
621	#537	—	43	1	no	—
622	#535	—	43	1	no	—
623	#532	—	86	1	no	—
624	#529	—	86	1	no	—
625	#529	—	86	2	no	—
626	#525	—	43	1	no	—
627	#525	C₂×D₄₃	1	1	yes	characteristic
628	C₂×#121	—	43	1	no	—
629	#520	—	43	1	no	—
630	#520	—	43	1	no	—
631	#520	—	43	1	no	—
632	#518	—	43	1	no	—
633	C₂×#117	—	43	1	no	—
634	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
635	#501	—	43	2	no	—
636	#501	—	43	2	no	—
637	#500	—	43	2	no	—
638	#499	—	43	2	no	—
639	#485	—	43	2	no	—
640	#485	C₂×D₄₃	1	1	yes	characteristic, complemented
641	#485	C₂×D₄₃	1	1	yes	characteristic, complemented
642	#484	—	43	2	no	—
643	#484	C₂×D₄₃	1	1	yes	characteristic, complemented
644	#483	C₂×D₄₃	1	1	yes	characteristic, complemented
645	#482	—	43	2	no	—
646	#482	—	43	2	no	—
647	#482	—	43	2	no	—
648	#482	—	43	2	no	—
649	#482	—	43	2	no	—
650	#482	—	43	2	no	—
651	#482	—	43	2	no	—
652	#482	C₂×D₄₃	1	1	yes	characteristic, complemented
653	#482	C₂×D₄₃	1	1	yes	characteristic, complemented
654	#481	—	43	2	no	—
655	#481	C₂×D₄₃	1	1	yes	characteristic, complemented
656	#480	—	43	2	no	—
657	#480	—	43	2	no	—
658	#480	C₂×D₄₃	1	1	yes	characteristic, complemented
659	#479	—	43	2	no	—
660	#478	—	43	2	no	—
661	#478	—	43	2	no	—
662	#478	—	43	2	no	—
663	#476	—	43	2	no	—
664	#476	—	43	2	no	—
665	#475	—	43	2	no	—
666	#474	—	43	2	no	—
667	#469	—	43	2	no	—
668	#469	—	43	2	no	—
669	#468	—	43	2	no	—
670	#468	—	43	2	no	—
671	#466	—	43	2	no	—
672	#466	—	43	2	no	—
673	#465	—	43	2	no	—
674	#465	—	43	2	no	—
675	#442	—	43	2	no	—
676	#440	—	43	2	no	—
677	C₄×SD₁₆	—	43	2	no	—
678	C₄×D₈	—	43	2	no	—
679	#436	—	43	2	no	—
680	#435	—	43	2	no	—
681	#435	—	43	2	no	—
682	C₈×D₄	—	43	2	no	—
683	#428	—	43	1	no	—
684	#428	—	43	1	no	—
685	#428	—	43	1	no	—
686	#428	—	43	1	no	—
687	#428	—	43	1	no	—
688	#428	—	43	2	no	—
689	#428	—	43	2	no	—
690	#428	—	43	2	no	—
691	#428	—	43	2	no	—
692	#427	—	43	2	no	—
693	#427	—	43	2	no	—
694	#427	—	43	2	no	—
695	#427	C₂×D₄₃	1	1	yes	characteristic
696	#427	C₂×D₄₃	1	1	yes	characteristic
697	C₂×#107	—	43	1	no	—
698	C₂×#106	—	43	1	no	—
699	C₂×#106	—	43	2	no	—
700	#424	—	43	1	no	—
701	#418	—	43	1	no	—
702	#417	—	43	1	no	—
703	#416	C₂×D₄₃	1	1	yes	characteristic
704	#416	C₂×D₄₃	1	1	yes	characteristic
705	C₂×#102	—	43	1	no	—
706	C₂×#102	—	43	1	no	—
707	#408	—	43	1	no	—
708	C₂×C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic
709	#405	—	43	1	no	—
710	C₄₃	#61274	1	1	yes	characteristic, complemented, Sylow
711	C₂×#41	—	43	1	no	—
712	C₂×#41	—	86	2	no	—
713	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
714	C₂²×D₄	—	43	1	no	—
715	C₂²×D₄	—	86	1	no	—
716	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
717	AGL(1,ℤ/8)	—	86	4	no	—
718	C₂×SD₁₆	—	43	2	no	—
719	C₂×D₈	—	43	2	no	—
720	#131	—	86	4	no	—
721	C₂×M₁₆	—	43	1	no	—
722	C₂×M₁₆	—	43	1	no	—
723	C₂×M₁₆	—	43	2	no	—
724	C₂×M₁₆	—	43	2	no	—
725	C₂×M₁₆	—	86	4	no	—
726	C₂²×C₈	—	43	2	no	—
727	C₂²×C₈	—	43	2	no	—
728	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
729	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
730	C₄⋊Q₈	—	43	2	no	—
731	C₄⋊Q₈	—	43	2	no	—
732	C₄⋊Q₈	—	86	1	no	—
733	C₄⋊Q₈	—	86	1	no	—
734	#127	—	86	1	no	—
735	#126	—	86	2	no	—
736	#126	—	86	2	no	—
737	#126	—	86	2	no	—
738	#126	—	86	2	no	—
739	#126	—	86	2	no	—
740	#126	—	86	2	no	—
741	#125	—	43	2	no	—
742	#125	—	43	2	no	—
743	#125	—	86	1	no	—
744	#125	—	86	1	no	—
745	#125	—	86	2	no	—
746	#124	—	86	2	no	—
747	#124	—	86	1	no	—
748	#124	—	86	2	no	—
749	#124	—	86	2	no	—
750	#124	—	86	2	no	—
751	#124	—	86	2	no	—
752	#123	—	2	1	no	—
753	#123	—	43	2	no	—
754	#123	—	86	2	no	—
755	#123	—	86	2	no	—
756	#123	—	86	2	no	—
757	#123	—	86	2	no	—
758	#123	—	86	2	no	—
759	#123	—	86	2	no	—
760	C₂²⋊Q₈	—	43	1	no	—
761	C₂²⋊Q₈	—	43	1	no	—
762	C₂²⋊Q₈	—	43	2	no	—
763	C₂²⋊Q₈	—	86	2	no	—
764	C₂²⋊Q₈	—	86	2	no	—
765	C₂²⋊Q₈	—	86	2	no	—
766	C₂²⋊Q₈	—	86	1	no	—
767	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
769	#121	—	43	1	no	—
770	#121	—	43	1	no	—
771	#121	—	43	2	no	—
772	#121	—	43	2	no	—
773	#121	—	43	2	no	—
774	#121	—	43	2	no	—
775	#121	—	43	2	no	—
776	#121	—	86	2	no	—
777	#121	—	86	2	no	—
778	#121	—	86	2	no	—
779	#121	—	86	1	no	—
780	#121	—	86	2	no	—
781	#121	—	86	2	no	—
782	#121	—	86	2	no	—
783	#121	—	86	1	no	—
784	#121	—	86	1	no	—
785	#121	C₂²×D₄₃	1	1	yes	characteristic
786	#121	C₂²×D₄₃	1	1	yes	characteristic
787	#120	—	2	1	no	—
788	#120	—	43	2	no	—
789	#120	—	86	2	no	—
790	C₄×Q₈	—	43	2	no	—
791	C₄×Q₈	—	86	1	no	—
792	C₄×Q₈	—	86	1	no	—
793	C₄×Q₈	—	86	2	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	43	2	no	—
797	C₄×D₄	—	43	2	no	—
798	C₄×D₄	—	43	2	no	—
799	C₄×D₄	—	43	2	no	—
800	C₄×D₄	—	43	2	no	—
801	C₄×D₄	—	86	2	no	—
802	C₄×D₄	—	86	1	no	—
803	C₄×D₄	—	86	1	no	—
804	C₄×D₄	—	86	1	no	—
805	C₄×D₄	—	86	1	no	—
806	C₄×D₄	—	86	2	no	—
807	C₄×D₄	—	86	2	no	—
808	C₄×D₄	—	86	2	no	—
809	C₄×D₄	—	86	2	no	—
810	C₄×D₄	—	86	2	no	—
811	#117	—	2	1	no	—
812	#117	—	2	1	no	—
813	#117	—	43	1	no	—
814	#117	—	43	2	no	—
815	#117	—	43	2	no	—
816	#117	—	43	2	no	—
817	#117	—	43	2	no	—
818	#117	—	86	2	no	—
819	#117	—	86	2	no	—
820	#117	—	86	2	no	—
821	#117	—	86	1	no	—
822	#117	—	86	1	no	—
823	#117	—	86	1	no	—
824	#117	C₂²×D₄₃	1	1	yes	characteristic
825	#117	C₂²×D₄₃	1	1	yes	characteristic
826	#117	C₂²×D₄₃	1	1	yes	characteristic
827	#117	C₂²×D₄₃	1	1	yes	characteristic
828	#117	C₂²×D₄₃	1	1	yes	characteristic
829	C₂×C₄⋊C₄	—	43	1	no	—
830	C₂×C₄⋊C₄	—	43	1	no	—
831	C₂×C₄⋊C₄	—	43	1	no	—
832	C₂×C₄⋊C₄	—	43	2	no	—
833	C₂×C₄⋊C₄	—	43	2	no	—
834	C₂×C₄⋊C₄	—	86	1	no	—
835	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
837	C₂×C₂²⋊C₄	—	2	1	no	—
838	C₂×C₂²⋊C₄	—	86	2	no	—
839	C₂×C₂²⋊C₄	—	86	1	no	—
840	C₂×C₂²⋊C₄	—	86	1	no	—
841	C₂×C₄²	—	2	1	no	—
842	C₂×C₄²	—	86	1	no	—
843	#107	—	43	2	no	—
844	#107	—	43	2	no	—
845	#107	—	43	2	no	—
846	#107	—	43	2	no	—
847	#107	—	43	2	no	—
848	#107	—	43	2	no	—
849	#107	—	43	2	no	—
850	#107	C₂²×D₄₃	1	1	yes	characteristic
851	#107	C₂²×D₄₃	1	1	yes	characteristic
852	#107	C₂²×D₄₃	1	1	yes	characteristic
853	#107	C₂²×D₄₃	1	1	yes	characteristic
854	#106	—	43	2	no	—
855	#106	—	43	2	no	—
856	#106	—	43	2	no	—
857	#106	—	43	2	no	—
858	#106	—	43	2	no	—
859	#106	—	43	2	no	—
860	#106	—	43	2	no	—
861	#106	C₂²×D₄₃	1	1	yes	characteristic
862	#106	C₂²×D₄₃	1	1	yes	characteristic
863	#106	C₂²×D₄₃	1	1	yes	characteristic
864	#106	C₂²×D₄₃	1	1	yes	characteristic
865	C₄⋊C₈	—	43	2	no	—
866	C₄⋊C₈	—	43	2	no	—
867	#103	—	43	2	no	—
868	#103	C₂²×D₄₃	1	1	yes	characteristic
869	#103	C₂²×D₄₃	1	1	yes	characteristic
870	#103	C₂²×D₄₃	1	1	yes	characteristic
871	#103	C₂²×D₄₃	1	1	yes	characteristic
872	#102	—	43	2	no	—
873	#102	—	43	2	no	—
874	#102	—	43	2	no	—
875	#102	—	43	2	no	—
876	#102	—	43	2	no	—
877	#102	—	43	2	no	—
878	#102	—	43	2	no	—
879	#102	C₂²×D₄₃	1	1	yes	characteristic
880	#102	C₂²×D₄₃	1	1	yes	characteristic
881	#102	C₂²×D₄₃	1	1	yes	characteristic
882	#102	C₂²×D₄₃	1	1	yes	characteristic
883	C₂²⋊C₈	—	43	2	no	—
884	C₂²⋊C₈	—	43	2	no	—
885	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
886	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
887	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
888	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
889	#97	—	43	2	no	—
890	C₄×C₈	—	43	2	no	—
891	C₂⁴	—	86	1	no	—
892	C₂⁴	D₄×D₄₃	1	1	yes	characteristic
893	#41	—	2	2	no	—
894	#41	—	2	2	no	—
895	#41	—	86	2	no	—
896	#41	—	86	2	no	—
897	#41	—	344	4	no	—
898	C₂×Q₈	—	43	1	no	—
899	C₂×Q₈	—	86	2	no	—
900	C₂×Q₈	—	86	2	no	—
901	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
902	C₂×D₄	—	2	1	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	43	2	no	—
906	C₂×D₄	—	43	2	no	—
907	C₂×D₄	—	43	2	no	—
908	C₂×D₄	—	43	1	no	—
909	C₂×D₄	—	43	2	no	—
910	C₂×D₄	—	86	2	no	—
911	C₂×D₄	—	86	2	no	—
912	C₂×D₄	—	86	2	no	—
913	C₂×D₄	—	86	2	no	—
914	C₂×D₄	—	86	2	no	—
915	C₂×D₄	—	86	1	no	—
916	C₂×D₄	—	86	2	no	—
917	C₂×D₄	—	86	2	no	—
918	C₂×D₄	—	344	2	no	—
919	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	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	1	no	—
932	C₂²×C₄	—	86	1	no	—
933	C₂²×C₄	—	86	1	no	—
934	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
935	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
936	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
937	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
938	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
939	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
940	SD₁₆	—	86	4	no	—
941	D₈	—	86	4	no	—
942	M₁₆	—	43	4	no	—
943	M₁₆	—	86	4	no	—
944	M₁₆	—	86	4	no	—
945	M₁₆	—	86	2	no	—
946	C₂×C₈	—	2	2	no	—
947	C₂×C₈	—	2	2	no	—
948	C₂×C₈	—	43	2	no	—
949	C₂×C₈	—	43	2	no	—
950	C₂×C₈	—	86	4	no	—
951	C₂×C₈	—	86	4	no	—
952	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
953	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
954	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
955	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	43	1	no	—
961	C₄⋊C₄	—	43	1	no	—
962	C₄⋊C₄	—	43	2	no	—
963	C₄⋊C₄	—	43	2	no	—
964	C₄⋊C₄	—	43	2	no	—
965	C₄⋊C₄	—	43	2	no	—
966	C₄⋊C₄	—	43	2	no	—
967	C₄⋊C₄	—	86	2	no	—
968	C₄⋊C₄	—	86	2	no	—
969	C₄⋊C₄	—	86	2	no	—
970	C₄⋊C₄	—	86	2	no	—
971	C₄⋊C₄	—	86	2	no	—
972	C₄⋊C₄	—	86	2	no	—
973	C₄⋊C₄	—	86	2	no	—
974	C₄⋊C₄	—	86	2	no	—
975	C₄⋊C₄	—	86	2	no	—
976	C₄⋊C₄	—	86	2	no	—
977	C₄⋊C₄	—	86	1	no	—
978	C₄⋊C₄	—	86	1	no	—
979	C₄⋊C₄	—	86	1	no	—
980	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
983	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
984	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	43	2	no	—
996	C₂²⋊C₄	—	43	2	no	—
997	C₂²⋊C₄	—	43	2	no	—
998	C₂²⋊C₄	—	43	2	no	—
999	C₂²⋊C₄	—	43	2	no	—
1000	C₂²⋊C₄	—	86	2	no	—
1001	C₂²⋊C₄	—	86	2	no	—
1002	C₂²⋊C₄	—	86	2	no	—
1003	C₂²⋊C₄	—	86	2	no	—
1004	C₂²⋊C₄	—	86	2	no	—
1005	C₂²⋊C₄	—	86	2	no	—
1006	C₂²⋊C₄	—	86	2	no	—
1007	C₂²⋊C₄	—	86	2	no	—
1008	C₂²⋊C₄	—	86	2	no	—
1009	C₂²⋊C₄	—	86	2	no	—
1010	C₂²⋊C₄	—	86	2	no	—
1011	C₂²⋊C₄	—	86	2	no	—
1012	C₂²⋊C₄	—	86	2	no	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	1	no	—
1016	C₄²	—	2	1	no	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	43	2	no	—
1019	C₄²	—	86	2	no	—
1020	C₄²	—	86	2	no	—
1021	C₄²	—	86	2	no	—
1022	C₄²	—	86	2	no	—
1023	C₄²	—	86	2	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	4	1	no	—
1027	C₂³	—	4	1	no	—
1028	C₂³	—	43	2	no	—
1029	C₂³	—	86	2	no	—
1030	C₂³	—	344	1	no	—
1031	C₂³	—	344	1	no	—
1032	C₂³	—	172	2	no	—
1033	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1034	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1035	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	86	2	no	—
1039	Q₈	—	344	2	no	—
1040	Q₈	—	344	2	no	—
1041	D₄	—	2	1	no	—
1042	D₄	—	2	1	no	—
1043	D₄	—	4	2	no	—
1044	D₄	—	8	1	no	—
1045	D₄	—	8	1	no	—
1046	D₄	—	86	4	no	—
1047	D₄	—	86	2	no	—
1048	D₄	—	86	2	no	—
1049	D₄	—	86	2	no	—
1050	D₄	—	344	2	no	—
1051	D₄	—	344	2	no	—
1052	D₄	—	344	2	no	—
1053	D₄	—	344	2	no	—
1054	D₄	—	172	2	no	—
1055	D₄	—	172	2	no	—
1056	D₄	—	172	4	no	—
1057	D₄	—	172	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	4	2	no	—
1073	C₂×C₄	—	4	2	no	—
1074	C₂×C₄	—	8	1	no	—
1075	C₂×C₄	—	43	2	no	—
1076	C₂×C₄	—	43	2	no	—
1077	C₂×C₄	—	43	2	no	—
1078	C₂×C₄	—	86	2	no	—
1079	C₂×C₄	—	86	2	no	—
1080	C₂×C₄	—	86	2	no	—
1081	C₂×C₄	—	86	2	no	—
1082	C₂×C₄	—	86	2	no	—
1083	C₂×C₄	—	344	2	no	—
1084	C₂×C₄	—	344	2	no	—
1085	C₂×C₄	—	344	2	no	—
1086	C₂×C₄	—	344	2	no	—
1087	C₂×C₄	—	344	2	no	—
1088	C₂×C₄	—	344	1	no	—
1089	C₂×C₄	—	344	1	no	—
1090	C₂×C₄	—	344	1	no	—
1091	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1092	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1093	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1094	C₂×C₄	#41×D₄₃	1	2	yes	—
1095	C₂×C₄	#13063372	1	2	yes	—
1096	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1097	C₈	—	2	1	no	—
1098	C₈	—	2	1	no	—
1099	C₈	—	2	1	no	—
1100	C₈	—	2	1	no	—
1101	C₈	—	43	4	no	—
1102	C₈	—	86	2	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	1	no	—
1105	C₂²	—	2	1	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	1	no	—
1108	C₂²	—	2	1	no	—
1109	C₂²	—	2	1	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	8	2	no	—
1115	C₂²	—	86	2	no	—
1116	C₂²	—	86	2	no	—
1117	C₂²	—	86	2	no	—
1118	C₂²	—	172	2	no	—
1119	C₂²	—	172	2	no	—
1120	C₂²	—	172	2	no	—
1121	C₂²	—	688	2	no	—
1122	C₂²	#14583547	1	2	yes	—
1123	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1124	C₄	—	2	1	no	—
1125	C₄	—	2	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	1	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	1	no	—
1131	C₄	—	4	1	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	86	2	no	—
1134	C₄	—	86	2	no	—
1135	C₄	—	86	2	no	—
1136	C₄	—	172	2	no	—
1137	C₄	—	172	2	no	—
1138	C₄	—	172	2	no	—
1139	C₄	#14583547	1	2	yes	—
1140	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1141	C₄	C₂×#13063372	1	1	yes	characteristic
1142	C₂	—	2	2	no	—
1143	C₂	—	4	1	no	—
1144	C₂	—	4	1	no	—
1145	C₂	—	8	1	no	—
1146	C₂	—	344	2	no	—
1147	C₂	—	172	2	no	—
1148	C₂	C₂×#14583547	1	1	yes	characteristic
1149	C₂	#19149364	1	1	yes	characteristic
1150	C₂	#19149372	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×#3091	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3091	D₄₃
hypocenter	C₄₃	#61274
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3091

Complements

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

N	H ≅ G/N	type
1. #19148330	C₂	semidirect
2. #19148312	C₂	semidirect
3. #19147201	C₂	semidirect
4. #19147172	C₂	semidirect
5. #19147143	C₂	semidirect
6. #19147114	C₂	semidirect
7. #19147093	C₂	semidirect
8. #19147058	C₂	semidirect
9. #19147012	C₂	semidirect
10. #19146977	C₂	semidirect
11. #19145135	C₂	semidirect
12. #19144571	C₂	semidirect
13. #19144556	C₂	semidirect
14. C₂×#14583224	C₂	semidirect
15. #19144455	C₂	semidirect
16. #19144429	C₂	semidirect
17. #19144278	C₂	semidirect
18. #19144216	C₂	semidirect
19. #19143430	C₂	semidirect
20. #19143316	C₂	semidirect
21. #19143187	C₂	semidirect
22. #19143184	C₂	semidirect
23. C₄₃×#3091	C₂	semidirect
27. #14583620	C₂²	semidirect
30. #14583613	C₂²	semidirect
33. #14583596	C₂²	semidirect
37. #14583583	C₂²	semidirect
58. #14583306	C₂²	semidirect
59. #14583306	C₂²	semidirect
60. #14583303	C₂²	semidirect
61. #14583300	C₂²	semidirect
62. #14583239	C₂²	semidirect
63. #14583233	C₂²	semidirect
64. #14583226	C₂²	semidirect
65. #14583225	C₂²	semidirect
70. #14583221	C₂²	semidirect
71. #14583219	C₂²	semidirect
72. #14583214	C₂²	semidirect
73. #14583211	C₂²	semidirect
74. #14583204	C₂²	semidirect
75. #14583202	C₂²	semidirect
76. #14583201	C₂²	semidirect
77. #14583198	C₂²	semidirect
78. #14583188	C₂²	semidirect
79. #14583187	C₂²	semidirect
80. #14583182	C₂²	semidirect
81. #14583178	C₂²	semidirect
82. #14583151	C₂²	semidirect
84. #14583148	C₂²	semidirect
86. #14583134	C₂²	semidirect
88. #14583131	C₂²	semidirect
90. #14583008	C₂²	semidirect
91. #14583002	C₂²	semidirect
92. #14582984	C₂²	semidirect
93. #14582979	C₂²	semidirect
94. #14582974	C₂²	semidirect
95. #14582973	C₂²	semidirect
96. #14582967	C₂²	semidirect
97. (C₂²⋊D₄₃)⋊C₈	C₂²	semidirect
103. #14582940	C₂²	semidirect
104. #14582940	C₂²	semidirect
105. #14582939	C₂²	semidirect
106. #14582939	C₂²	semidirect
107. #14582935	C₂²	semidirect
108. #14582935	C₂²	semidirect
109. #14582934	C₂²	semidirect
112. #106×D₄₃	C₂²	semidirect
122. C₄₃×#485	C₂²	semidirect
123. C₄₃×#485	C₂²	semidirect
124. C₄₃×#484	C₂²	semidirect
125. C₄₃×#483	C₂²	semidirect
126. C₄₃×#482	C₂²	semidirect
127. C₄₃×#482	C₂²	semidirect
128. C₄₃×#481	C₂²	semidirect
129. C₄₃×#480	C₂²	semidirect
442. #10621877	#41	semidirect
580. #3091	D₄₃	semidirect
640. #485	C₂×D₄₃	semidirect
641. #485	C₂×D₄₃	semidirect
643. #484	C₂×D₄₃	semidirect
644. #483	C₂×D₄₃	semidirect
652. #482	C₂×D₄₃	semidirect
653. #482	C₂×D₄₃	semidirect
655. #481	C₂×D₄₃	semidirect
658. #480	C₂×D₄₃	semidirect
710. C₄₃	#61274	semidirect

Maximal subgroups

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

subgroup	index
#19148330	2
#19148312	2
#19147201	2
#19147172	2
#19147143	2
#19147114	2
#19147093	2
#19147058	2
#19147012	2
#19146977	2
#19145135	2
#19144571	2
#19144556	2
C₂×#14583224	2
#19144455	2
#19144429	2
#19144278	2
#19144216	2
#19143430	2
#19143316	2
#19143187	2
#19143184	2
C₄₃×#3091	2
#61274	43