Subgroups — #25975870

Order 11008.

1764 conjugacy classes of subgroups.

The subgroup lattice has 1124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148347	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148312	C₂	1	1	yes	maximal, characteristic
3	#19147214	C₂	1	2	yes	maximal, complemented
4	#19147170	C₂	1	2	yes	maximal, complemented
5	#19147144	C₂	1	2	yes	maximal, complemented
6	#19147129	C₂	1	2	yes	maximal, complemented
7	#19147113	C₂	1	2	yes	maximal, complemented
8	#19147053	C₂	1	2	yes	maximal, complemented
9	#19147020	C₂	1	2	yes	maximal, complemented
10	#19146967	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	#19144567	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583241	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144455	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144440	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144289	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144227	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143441	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×#13063355	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	—
28	#14583619	—	2	1	no	—
29	#14583617	C₂²	1	2	yes	—
30	#14583614	—	2	1	no	—
31	#14583613	C₂²	1	2	yes	—
32	#14583604	C₂²	1	2	yes	—
33	#14583596	C₂²	1	2	yes	—
34	#14583595	—	2	1	no	—
35	#14583589	—	2	1	no	—
36	#14583588	C₂²	1	2	yes	—
37	#14583584	C₂²	1	2	yes	—
38	#14583583	C₂²	1	2	yes	—
39	#14583582	—	2	2	no	—
40	#14583575	—	2	2	no	—
41	#14583527	C₂²	1	1	yes	characteristic
42	#14583527	C₂²	1	1	yes	characteristic
43	#14583520	—	2	1	no	—
44	#14583511	—	2	1	no	—
45	#14583484	—	2	2	no	—
46	#14583477	C₂²	1	1	yes	characteristic
47	#14583475	C₂²	1	1	yes	characteristic
48	#14583456	—	2	1	no	—
49	#14583433	—	2	1	no	—
50	#14583426	—	2	2	no	—
51	#14583410	C₂²	1	1	yes	characteristic
52	C₂×#13063304	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	#14583376	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	#14583243	C₂²	1	2	yes	complemented
63	#14583242	C₂²	1	2	yes	complemented
64	#14583241	C₂²	1	2	yes	—
65	#14583241	C₂²	1	2	yes	—
66	#14583241	C₂²	1	2	yes	—
67	#14583241	C₂²	1	2	yes	—
68	#14583239	C₂²	1	2	yes	complemented
69	#14583236	C₂²	1	2	yes	complemented
70	#14583233	C₂²	1	2	yes	complemented
71	#14583231	C₂²	1	2	yes	complemented
72	#14583221	C₂²	1	2	yes	complemented
73	#14583211	C₂²	1	2	yes	complemented
74	#14583209	C₂²	1	2	yes	complemented
75	#14583205	C₂²	1	2	yes	complemented
76	#14583204	C₂²	1	2	yes	complemented
77	#14583201	C₂²	1	2	yes	complemented
78	#14583193	C₂²	1	2	yes	complemented
79	#14583187	C₂²	1	2	yes	complemented
80	#14583183	C₂²	1	2	yes	complemented
81	#14583182	C₂²	1	2	yes	complemented
82	#14583156	C₂²	1	2	yes	complemented
83	#14583155	C₂²	1	2	yes	—
84	#14583144	C₂²	1	2	yes	complemented
85	#14583143	C₂²	1	2	yes	—
86	#14583139	C₂²	1	2	yes	complemented
87	#14583138	C₂²	1	2	yes	—
88	#14583127	C₂²	1	2	yes	complemented
89	#14583126	C₂²	1	2	yes	—
90	#14583003	C₂²	1	2	yes	complemented
91	#14582996	C₂²	1	2	yes	complemented
92	#14582991	C₂²	1	2	yes	complemented
93	#14582990	C₂²	1	2	yes	complemented
94	#14582974	C₂²	1	2	yes	—
95	#14582973	C₂²	1	2	yes	—
96	#14582967	C₂²	1	2	yes	—
97	(C₂²⋊D₄₃)⋊C₈	C₂²	1	2	yes	—
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	—
106	#14582939	C₂²	1	2	yes	—
107	#14582935	C₂²	1	2	yes	—
108	#14582935	C₂²	1	2	yes	—
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	#14582907	C₂²	1	1	yes	characteristic
115	#14582900	C₂²	1	1	yes	characteristic
116	C₂×#13063250	C₂²	1	1	yes	characteristic
117	C₂×#13063250	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
123	C₄₃×#485	C₂²	1	1	yes	characteristic
124	C₄₃×#484	C₂²	1	1	yes	characteristic
125	C₄₃×#483	C₂²	1	1	yes	characteristic
126	C₄₃×#482	C₂²	1	1	yes	characteristic
127	C₄₃×#482	C₂²	1	1	yes	characteristic
128	C₄₃×#481	C₂²	1	1	yes	characteristic
129	C₄₃×#480	C₂²	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
136	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
137	#13063355	—	2	4	no	—
138	C₂×#10621885	C₂³	1	2	yes	—
139	C₂×#10621883	C₂³	1	2	yes	—
140	#13063331	—	2	4	no	—
141	C₂×#10621877	—	2	4	no	—
142	C₂×#10621877	C₂³	1	1	yes	characteristic
143	C₂×#10621877	C₂³	1	2	yes	—
144	C₂×#10621877	C₂³	1	1	yes	characteristic
145	C₂×#10621872	C₂³	1	2	yes	—
146	C₂²×C₄₃⋊C₈	C₂³	1	2	yes	—
147	C₂×C₈×D₄₃	C₂³	1	2	yes	—
148	#13063325	—	2	1	no	—
149	#13063325	—	2	1	no	—
150	#13063325	—	2	1	no	—
151	#13063324	C₂³	1	2	yes	—
152	#13063324	C₂³	1	2	yes	—
153	#13063320	—	2	2	no	—
154	#13063320	—	2	2	no	—
155	#13063319	—	2	2	no	—
156	#13063318	—	2	2	no	—
157	#13063318	—	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	#13063317	—	2	2	no	—
164	#13063316	C₂³	1	2	yes	—
165	#13063316	C₂³	1	2	yes	—
166	#13063315	—	2	2	no	—
167	#13063315	—	2	2	no	—
168	#13063315	—	2	2	no	—
169	#13063313	—	2	1	no	—
170	#13063312	—	2	2	no	—
171	#13063311	—	2	2	no	—
172	#13063311	—	2	2	no	—
173	#13063311	—	2	2	no	—
174	#13063309	—	2	2	no	—
175	#13063308	—	2	2	no	—
176	#13063308	D₄	1	2	yes	—
177	#13063307	—	2	2	no	—
178	#13063307	—	2	2	no	—
179	#13063306	—	2	2	no	—
180	#13063305	C₂³	1	2	yes	—
181	#13063305	C₂³	1	2	yes	—
182	#13063304	—	2	1	no	—
183	#13063304	—	2	1	no	—
184	#13063304	—	2	1	no	—
185	#13063304	—	2	2	no	—
186	#13063304	D₄	1	1	yes	characteristic
187	#13063304	D₄	1	1	yes	characteristic
188	#13063304	C₂³	1	2	yes	—
189	#13063304	C₂³	1	2	yes	—
190	#13063303	—	2	2	no	—
191	#13063302	—	2	2	no	—
192	#13063302	—	2	2	no	—
193	#13063301	C₂³	1	2	yes	—
194	#13063299	—	2	1	no	—
195	#13063299	D₄	1	1	yes	characteristic
196	#13063299	D₄	1	1	yes	characteristic
197	#13063297	—	2	2	no	—
198	#13063297	—	2	2	no	—
199	#13063296	—	2	2	no	—
200	#13063296	C₂³	1	2	yes	—
201	#13063294	D₄	1	2	yes	—
202	Q₈×Dic₄₃	C₂³	1	2	yes	—
203	C₄×Dic₈₆	—	2	1	no	—
204	C₄×Dic₈₆	—	2	1	no	—
205	C₄×Dic₈₆	—	2	1	no	—
206	C₄×Dic₈₆	—	2	1	no	—
207	C₄×Dic₈₆	—	2	2	no	—
208	#13063290	—	2	2	no	—
209	#13063290	C₂³	1	2	yes	—
210	#13063290	C₂³	1	2	yes	—
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	C₄×C₂²⋊D₄₃	—	2	2	no	—
216	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
217	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
218	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
219	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
221	#13063284	—	2	1	no	—
222	#13063284	—	2	1	no	—
223	#13063284	—	2	2	no	—
224	#13063284	—	2	1	no	—
225	#13063284	C₂³	1	2	yes	—
226	#13063284	C₂³	1	2	yes	—
227	#13063284	C₂³	1	1	yes	characteristic
228	#13063283	—	2	2	no	—
229	#13063283	C₂³	1	2	yes	—
230	#13063283	C₂³	1	2	yes	—
231	#13063282	—	2	2	no	—
232	#13063281	—	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	C₂×Dic₄₃⋊C₄	—	2	1	no	—
239	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
240	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
241	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
242	C₂×C₂²⋊Dic₄₃	—	2	1	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	#13063250	C₂³	1	2	yes	—
261	#13063250	C₂³	1	2	yes	—
262	#13063250	C₂³	1	2	yes	—
263	#13063250	C₂³	1	2	yes	—
264	#13063249	C₂³	1	2	yes	—
265	#13063248	C₂³	1	2	yes	—
266	#13063248	C₂³	1	2	yes	—
267	#13063246	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	#41×C₄₃	—	2	2	no	—
317	#41×C₄₃	—	2	2	no	—
318	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
319	C₂×D₄×C₄₃	—	2	1	no	—
320	C₂×D₄×C₄₃	—	2	1	no	—
321	C₂×D₄×C₄₃	—	2	1	no	—
322	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₄₃	—	2	2	no	—
324	C₂²×C₄×C₄₃	—	2	2	no	—
325	C₂²×C₄×C₄₃	—	2	1	no	—
326	C₂²×C₄×C₄₃	—	2	1	no	—
327	C₂²×C₄×C₄₃	—	2	1	no	—
328	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
329	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
330	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
331	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₃	—	2	2	no	—
335	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
336	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
337	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
338	C₂²×Dic₄₃	—	2	2	no	—
339	C₂²×Dic₄₃	—	2	1	no	—
340	C₂²×Dic₄₃	—	2	1	no	—
341	C₂²×Dic₄₃	—	2	1	no	—
342	C₂²×Dic₄₃	—	2	1	no	—
343	#10621898	—	2	2	no	—
344	#10621898	—	2	2	no	—
345	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
346	C₂×C₄×D₄₃	—	2	2	no	—
347	C₂×C₄×D₄₃	—	2	2	no	—
348	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
349	C₂×Dic₈₆	—	2	2	no	—
350	C₂×Dic₈₆	—	2	2	no	—
351	C₂×Dic₈₆	—	2	1	no	—
352	C₂×Dic₈₆	—	2	2	no	—
353	C₂×Dic₈₆	—	2	2	no	—
354	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
355	C₂×Dic₈₆	C₂⁴	1	2	yes	—
356	C₂×C₈×C₄₃	—	2	2	no	—
357	C₂×C₈×C₄₃	—	2	2	no	—
358	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
360	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₄⋊C₄×C₄₃	—	2	1	no	—
363	C₄⋊C₄×C₄₃	—	2	1	no	—
364	C₄⋊C₄×C₄₃	—	2	1	no	—
365	C₄⋊C₄×C₄₃	—	2	1	no	—
366	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
367	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
369	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂²⋊C₄×C₄₃	—	2	1	no	—
373	C₂²⋊C₄×C₄₃	—	2	1	no	—
374	C₂²⋊C₄×C₄₃	—	2	1	no	—
375	C₂²⋊C₄×C₄₃	—	2	1	no	—
376	C₂²⋊C₄×C₄₃	—	2	1	no	—
377	C₂²⋊C₄×C₄₃	—	2	1	no	—
378	C₂²⋊C₄×C₄₃	—	2	1	no	—
379	C₂²⋊C₄×C₄₃	—	2	1	no	—
380	C₂²⋊C₄×C₄₃	—	2	1	no	—
381	C₄²×C₄₃	—	2	1	no	—
382	C₄²×C₄₃	—	2	1	no	—
383	C₄²×C₄₃	—	2	1	no	—
384	C₄²×C₄₃	—	2	1	no	—
385	C₄²×C₄₃	—	2	1	no	—
386	C₂²⋊Dic₄₃	—	2	2	no	—
387	C₂²⋊Dic₄₃	—	2	2	no	—
388	C₂²⋊Dic₄₃	—	2	2	no	—
389	C₂²⋊Dic₄₃	—	2	2	no	—
390	C₂²⋊Dic₄₃	—	2	2	no	—
391	C₂²⋊Dic₄₃	—	2	2	no	—
392	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
393	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
394	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
395	#10621885	—	2	4	no	—
396	#10621883	—	2	4	no	—
397	(C₂×D₄₃)⋊C₄	—	2	2	no	—
398	(C₂×D₄₃)⋊C₄	—	2	2	no	—
399	(C₂×D₄₃)⋊C₄	—	2	2	no	—
400	(C₂×D₄₃)⋊C₄	—	2	2	no	—
401	(C₂×D₄₃)⋊C₄	—	2	2	no	—
402	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
403	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
404	C₄⋊Dic₄₃	—	2	1	no	—
405	C₄⋊Dic₄₃	—	2	1	no	—
406	C₄⋊Dic₄₃	—	2	1	no	—
407	C₄⋊Dic₄₃	—	2	2	no	—
408	C₄⋊Dic₄₃	—	2	2	no	—
409	C₄⋊Dic₄₃	—	2	2	no	—
410	C₄⋊Dic₄₃	—	2	2	no	—
411	C₄⋊Dic₄₃	—	2	2	no	—
412	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
413	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
414	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
415	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
416	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
417	Dic₄₃⋊C₄	—	2	2	no	—
418	Dic₄₃⋊C₄	—	2	2	no	—
419	Dic₄₃⋊C₄	—	2	2	no	—
420	Dic₄₃⋊C₄	—	2	2	no	—
421	Dic₄₃⋊C₄	—	2	2	no	—
422	Dic₄₃⋊C₄	—	2	2	no	—
423	Dic₄₃⋊C₄	—	2	2	no	—
424	Dic₄₃⋊C₄	—	2	2	no	—
425	Dic₄₃⋊C₄	—	2	2	no	—
426	Dic₄₃⋊C₄	—	2	2	no	—
427	Dic₄₃⋊C₄	—	2	2	no	—
428	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
429	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
430	C₄×Dic₄₃	—	2	2	no	—
431	C₄×Dic₄₃	—	2	2	no	—
432	C₄×Dic₄₃	—	2	2	no	—
433	C₄×Dic₄₃	—	2	2	no	—
434	C₄×Dic₄₃	—	2	2	no	—
435	C₄×Dic₄₃	—	2	2	no	—
436	C₄×Dic₄₃	—	2	2	no	—
437	C₄×Dic₄₃	C₂⁴	1	2	yes	—
438	#10621877	—	2	2	no	—
439	#10621877	—	2	4	no	—
440	#10621877	#41	1	4	yes	—
441	C₂×C₄₃⋊C₈	—	2	4	no	—
442	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
443	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
444	#10621872	—	2	4	no	—
445	C₈×D₄₃	—	2	4	no	—
446	C₂³×C₄₃	—	2	2	no	—
447	C₂³×C₄₃	—	2	1	no	—
448	C₂³×C₄₃	—	4	1	no	—
449	C₂³×C₄₃	—	4	1	no	—
450	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
451	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
452	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
453	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
454	Q₈×C₄₃	—	2	1	no	—
455	Q₈×C₄₃	—	2	1	no	—
456	D₄×C₄₃	—	2	1	no	—
457	D₄×C₄₃	—	2	1	no	—
458	D₄×C₄₃	—	4	2	no	—
459	D₄×C₄₃	—	8	1	no	—
460	D₄×C₄₃	—	8	1	no	—
461	C₂×C₄×C₄₃	—	2	2	no	—
462	C₂×C₄×C₄₃	—	2	2	no	—
463	C₂×C₄×C₄₃	—	2	2	no	—
464	C₂×C₄×C₄₃	—	2	1	no	—
465	C₂×C₄×C₄₃	—	2	1	no	—
466	C₂×C₄×C₄₃	—	2	1	no	—
467	C₂×C₄×C₄₃	—	2	1	no	—
468	C₂×C₄×C₄₃	—	2	1	no	—
469	C₂×C₄×C₄₃	—	2	1	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	—	4	2	no	—
476	C₂×C₄×C₄₃	—	4	2	no	—
477	C₂×C₄×C₄₃	—	8	1	no	—
478	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
479	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
480	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
481	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
482	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
483	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
484	C₂²⋊D₄₃	—	2	4	no	—
485	C₂²⋊D₄₃	—	4	2	no	—
486	C₂²⋊D₄₃	—	4	2	no	—
487	C₂²⋊D₄₃	—	8	2	no	—
488	C₂×Dic₄₃	—	2	2	no	—
489	C₂×Dic₄₃	—	2	2	no	—
490	C₂×Dic₄₃	—	2	2	no	—
491	C₂×Dic₄₃	—	2	2	no	—
492	C₂×Dic₄₃	—	4	2	no	—
493	C₂×Dic₄₃	—	8	2	no	—
494	C₂×Dic₄₃	—	8	1	no	—
495	C₂×Dic₄₃	—	8	1	no	—
496	C₂×Dic₄₃	—	8	1	no	—
497	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
498	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
499	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
500	D₁₇₂	—	2	2	no	—
501	C₄×D₄₃	—	2	2	no	—
502	C₄×D₄₃	—	2	2	no	—
503	C₄×D₄₃	—	8	2	no	—
504	C₄×D₄₃	—	8	2	no	—
505	Dic₈₆	—	2	2	no	—
506	Dic₈₆	—	2	2	no	—
507	Dic₈₆	—	2	2	no	—
508	Dic₈₆	—	4	2	no	—
509	Dic₈₆	—	8	2	no	—
510	Dic₈₆	—	8	2	no	—
511	C₈×C₄₃	—	2	1	no	—
512	C₈×C₄₃	—	2	1	no	—
513	C₈×C₄₃	—	2	1	no	—
514	C₈×C₄₃	—	2	1	no	—
515	C₄₃⋊C₈	—	2	2	no	—
516	C₄₃⋊C₈	C₂×#41	1	4	yes	—
517	#61277	—	43	1	no	maximal, Sylow
518	C₂²×C₄₃	—	2	1	no	—
519	C₂²×C₄₃	—	2	1	no	—
520	C₂²×C₄₃	—	2	1	no	—
521	C₂²×C₄₃	—	2	1	no	—
522	C₂²×C₄₃	—	2	1	no	—
523	C₂²×C₄₃	—	2	1	no	—
524	C₂²×C₄₃	—	2	1	no	—
525	C₂²×C₄₃	—	2	1	no	—
526	C₂²×C₄₃	—	4	1	no	—
527	C₂²×C₄₃	—	4	1	no	—
528	C₂²×C₄₃	—	4	1	no	—
529	C₂²×C₄₃	—	8	2	no	—
530	C₂²×C₄₃	#547	1	2	yes	—
531	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
532	C₂×D₄₃	—	2	2	no	—
533	C₂×D₄₃	—	2	2	no	—
534	C₂×D₄₃	—	2	2	no	—
535	C₄×C₄₃	—	2	1	no	—
536	C₄×C₄₃	—	2	1	no	—
537	C₄×C₄₃	—	4	1	no	—
538	C₄×C₄₃	—	4	1	no	—
539	C₄×C₄₃	—	4	1	no	—
540	C₄×C₄₃	—	4	1	no	—
541	C₄×C₄₃	—	4	1	no	—
542	C₄×C₄₃	—	4	1	no	—
543	C₄×C₄₃	—	4	1	no	—
544	C₄×C₄₃	#547	1	2	yes	—
545	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
546	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
547	Dic₄₃	—	2	2	no	—
548	Dic₄₃	—	2	2	no	—
549	Dic₄₃	—	2	2	no	—
550	Dic₄₃	—	4	2	no	—
551	Dic₄₃	—	4	2	no	—
552	Dic₄₃	—	4	2	no	—
553	Dic₄₃	—	4	2	no	—
554	#3495	—	43	1	no	—
555	#3493	—	43	1	no	—
556	#3357	—	43	2	no	—
557	#3352	—	43	2	no	—
558	#3350	—	43	2	no	—
559	#3349	—	43	2	no	—
560	#3348	—	43	2	no	—
561	#3344	—	43	2	no	—
562	#3342	—	43	2	no	—
563	#3337	—	43	2	no	—
564	#3164	—	43	1	no	—
565	#3098	—	43	1	no	—
566	#3097	—	43	1	no	—
567	#3091	D₄₃	1	1	yes	characteristic, complemented
568	C₂×#485	—	43	1	no	—
569	#3084	—	43	1	no	—
570	#3082	—	43	1	no	—
571	#3063	—	43	1	no	—
572	#3056	—	43	1	no	—
573	#2947	—	43	1	no	—
574	#2933	—	43	1	no	—
575	#2912	—	43	1	no	—
576	#2911	—	43	1	no	—
577	C₂×C₄₃	—	2	2	no	—
578	C₂×C₄₃	—	4	1	no	—
579	C₂×C₄₃	—	4	1	no	—
580	C₂×C₄₃	—	8	1	no	—
581	C₂×C₄₃	C₂×#547	1	1	yes	characteristic
582	C₂×C₄₃	#3584	1	1	yes	characteristic
583	C₂×C₄₃	#3586	1	1	yes	characteristic
584	D₄₃	—	4	2	no	—
585	C₂×#137	—	43	1	no	—
586	C₂×#131	—	43	1	no	—
587	C₂²×M₁₆	—	43	1	no	—
588	#556	—	43	2	no	—
589	#556	—	43	2	no	—
590	#556	—	86	1	no	—
591	#555	—	43	2	no	—
592	#555	—	86	1	no	—
593	#554	—	43	2	no	—
594	#553	—	43	2	no	—
595	#553	—	86	1	no	—
596	#552	—	43	2	no	—
597	#552	—	43	2	no	—
598	#552	—	43	2	no	—
599	#552	—	86	2	no	—
600	#552	—	86	1	no	—
601	#551	—	86	2	no	—
602	#544	—	43	1	no	—
603	#544	—	43	1	no	—
604	#542	—	86	1	no	—
605	#541	—	86	1	no	—
606	#538	—	86	2	no	—
607	#537	—	43	1	no	—
608	#536	—	43	1	no	—
609	#533	—	86	1	no	—
610	#529	—	86	1	no	—
611	#529	—	86	2	no	—
612	#525	—	43	1	no	—
613	#525	C₂×D₄₃	1	1	yes	characteristic
614	C₂×C₂²⋊Q₈	—	43	1	no	—
615	#520	—	43	1	no	—
616	#520	—	43	1	no	—
617	#520	—	43	1	no	—
618	#519	—	43	1	no	—
619	C₂×#117	—	43	1	no	—
620	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
621	#501	—	43	2	no	—
622	#501	—	43	2	no	—
623	#500	—	43	2	no	—
624	#499	—	43	2	no	—
625	#485	—	43	2	no	—
626	#485	—	43	2	no	—
627	#485	—	43	2	no	—
628	#485	—	43	2	no	—
629	#485	—	43	2	no	—
630	#485	—	43	2	no	—
631	#485	—	43	2	no	—
632	#485	C₂×D₄₃	1	1	yes	characteristic
633	#485	C₂×D₄₃	1	1	yes	characteristic
634	#484	—	43	2	no	—
635	#484	—	43	2	no	—
636	#484	C₂×D₄₃	1	1	yes	characteristic
637	#483	—	43	2	no	—
638	#483	C₂×D₄₃	1	1	yes	characteristic
639	#482	—	43	2	no	—
640	#482	C₂×D₄₃	1	1	yes	characteristic
641	#482	C₂×D₄₃	1	1	yes	characteristic
642	#481	C₂×D₄₃	1	1	yes	characteristic
643	#480	—	43	2	no	—
644	#480	C₂×D₄₃	1	1	yes	characteristic
645	#479	—	43	2	no	—
646	#479	—	43	2	no	—
647	#479	—	43	2	no	—
648	#478	—	43	2	no	—
649	#477	—	43	2	no	—
650	#476	—	43	2	no	—
651	#475	—	43	2	no	—
652	#475	—	43	2	no	—
653	#470	—	43	2	no	—
654	#470	—	43	2	no	—
655	#468	—	43	2	no	—
656	#468	—	43	2	no	—
657	#467	—	43	2	no	—
658	#467	—	43	2	no	—
659	#465	—	43	2	no	—
660	#465	—	43	2	no	—
661	#441	—	43	2	no	—
662	#440	—	43	2	no	—
663	C₄×Q₁₆	—	43	2	no	—
664	C₄×SD₁₆	—	43	2	no	—
665	#436	—	43	2	no	—
666	#435	—	43	2	no	—
667	#435	—	43	2	no	—
668	C₈×D₄	—	43	2	no	—
669	#428	—	43	1	no	—
670	#428	—	43	1	no	—
671	#428	—	43	1	no	—
672	#428	—	43	1	no	—
673	#428	—	43	1	no	—
674	#428	—	43	2	no	—
675	#428	—	43	2	no	—
676	#428	—	43	2	no	—
677	#428	—	43	2	no	—
678	#427	—	43	2	no	—
679	#427	—	43	2	no	—
680	#427	—	43	2	no	—
681	#427	C₂×D₄₃	1	1	yes	characteristic
682	#427	C₂×D₄₃	1	1	yes	characteristic
683	C₂×#107	—	43	1	no	—
684	C₂×#106	—	43	1	no	—
685	C₂×#106	—	43	2	no	—
686	#424	—	43	1	no	—
687	#419	—	43	1	no	—
688	#417	—	43	1	no	—
689	#416	C₂×D₄₃	1	1	yes	characteristic
690	#416	C₂×D₄₃	1	1	yes	characteristic
691	C₂×#103	—	43	1	no	—
692	C₂×#103	—	43	1	no	—
693	#408	—	43	1	no	—
694	C₂×C₂²⋊C₈	C₂×D₄₃	1	1	yes	characteristic
695	#405	—	43	1	no	—
696	C₄₃	#61277	1	1	yes	characteristic, complemented, Sylow
697	C₂×#41	—	43	1	no	—
698	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
699	C₂²×Q₈	—	43	1	no	—
700	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
701	#137	—	86	4	no	—
702	C₂×Q₁₆	—	43	2	no	—
703	C₂×SD₁₆	—	43	2	no	—
704	#131	—	86	4	no	—
705	C₂×M₁₆	—	43	1	no	—
706	C₂×M₁₆	—	43	1	no	—
707	C₂×M₁₆	—	43	2	no	—
708	C₂×M₁₆	—	43	2	no	—
709	C₂×M₁₆	—	86	4	no	—
710	C₂²×C₈	—	43	2	no	—
711	C₂²×C₈	—	43	2	no	—
712	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
713	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
714	C₄⋊Q₈	—	43	2	no	—
715	C₄⋊Q₈	—	43	2	no	—
716	C₄⋊Q₈	—	86	1	no	—
717	C₄⋊Q₈	—	86	1	no	—
718	C₄⋊Q₈	—	86	1	no	—
719	#126	—	86	2	no	—
720	#126	—	86	2	no	—
721	#126	—	86	2	no	—
722	#126	—	86	2	no	—
723	#126	—	86	2	no	—
724	#126	—	86	2	no	—
725	#126	—	86	2	no	—
726	#126	—	86	2	no	—
727	#125	—	43	2	no	—
728	#125	—	43	2	no	—
729	#125	—	86	1	no	—
730	#125	—	86	2	no	—
731	#125	—	86	1	no	—
732	#125	—	86	2	no	—
733	#125	—	86	2	no	—
734	#125	—	86	2	no	—
735	#124	—	86	1	no	—
736	#124	—	86	2	no	—
737	#124	—	86	2	no	—
738	#124	—	86	2	no	—
739	#124	—	86	2	no	—
740	#123	—	2	1	no	—
741	#123	—	43	2	no	—
742	#123	—	86	2	no	—
743	#123	—	86	2	no	—
744	#123	—	86	2	no	—
745	#123	—	86	2	no	—
746	#123	—	86	2	no	—
747	C₂²⋊Q₈	—	43	1	no	—
748	C₂²⋊Q₈	—	43	1	no	—
749	C₂²⋊Q₈	—	43	2	no	—
750	C₂²⋊Q₈	—	43	2	no	—
751	C₂²⋊Q₈	—	43	2	no	—
752	C₂²⋊Q₈	—	43	2	no	—
753	C₂²⋊Q₈	—	43	2	no	—
754	C₂²⋊Q₈	—	86	2	no	—
755	C₂²⋊Q₈	—	86	2	no	—
756	C₂²⋊Q₈	—	86	2	no	—
757	C₂²⋊Q₈	—	86	2	no	—
758	C₂²⋊Q₈	—	86	1	no	—
759	C₂²⋊Q₈	—	86	1	no	—
760	C₂²⋊Q₈	—	86	1	no	—
761	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
762	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
763	#121	—	43	1	no	—
764	#121	—	43	1	no	—
765	#121	—	43	2	no	—
766	#121	—	86	1	no	—
767	#121	—	86	2	no	—
768	#121	—	86	2	no	—
769	#121	—	86	2	no	—
770	#121	C₂²×D₄₃	1	1	yes	characteristic
771	#121	C₂²×D₄₃	1	1	yes	characteristic
772	#120	—	2	1	no	—
773	#120	—	43	2	no	—
774	C₄×Q₈	—	43	2	no	—
775	C₄×Q₈	—	43	2	no	—
776	C₄×Q₈	—	43	2	no	—
777	C₄×Q₈	—	86	1	no	—
778	C₄×Q₈	—	86	1	no	—
779	C₄×Q₈	—	86	2	no	—
780	C₄×Q₈	—	86	1	no	—
781	C₄×Q₈	—	86	1	no	—
782	C₄×Q₈	—	86	2	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	43	2	no	—
786	C₄×D₄	—	43	2	no	—
787	C₄×D₄	—	43	2	no	—
788	C₄×D₄	—	86	1	no	—
789	C₄×D₄	—	86	1	no	—
790	C₄×D₄	—	86	2	no	—
791	C₄×D₄	—	86	2	no	—
792	C₄×D₄	—	86	2	no	—
793	C₄×D₄	—	86	2	no	—
794	C₄×D₄	—	86	2	no	—
795	#117	—	2	1	no	—
796	#117	—	2	1	no	—
797	#117	—	43	1	no	—
798	#117	—	43	2	no	—
799	#117	—	43	2	no	—
800	#117	—	43	2	no	—
801	#117	—	43	2	no	—
802	#117	—	86	2	no	—
803	#117	—	86	2	no	—
804	#117	—	86	2	no	—
805	#117	—	86	2	no	—
806	#117	—	86	2	no	—
807	#117	—	86	1	no	—
808	#117	—	86	1	no	—
809	#117	—	86	1	no	—
810	#117	C₂²×D₄₃	1	1	yes	characteristic
811	#117	C₂²×D₄₃	1	1	yes	characteristic
812	#117	C₂²×D₄₃	1	1	yes	characteristic
813	#117	C₂²×D₄₃	1	1	yes	characteristic
814	#117	C₂²×D₄₃	1	1	yes	characteristic
815	C₂×C₄⋊C₄	—	43	1	no	—
816	C₂×C₄⋊C₄	—	43	1	no	—
817	C₂×C₄⋊C₄	—	43	1	no	—
818	C₂×C₄⋊C₄	—	43	2	no	—
819	C₂×C₄⋊C₄	—	43	2	no	—
820	C₂×C₄⋊C₄	—	86	1	no	—
821	C₂×C₄⋊C₄	—	86	1	no	—
822	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	—	2	1	no	—
825	C₂×C₂²⋊C₄	—	86	1	no	—
826	C₂×C₂²⋊C₄	—	86	1	no	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	—	86	1	no	—
829	#107	—	43	2	no	—
830	#107	—	43	2	no	—
831	#107	—	43	2	no	—
832	#107	—	43	2	no	—
833	#107	—	43	2	no	—
834	#107	—	43	2	no	—
835	#107	—	43	2	no	—
836	#107	C₂²×D₄₃	1	1	yes	characteristic
837	#107	C₂²×D₄₃	1	1	yes	characteristic
838	#107	C₂²×D₄₃	1	1	yes	characteristic
839	#107	C₂²×D₄₃	1	1	yes	characteristic
840	#106	—	43	2	no	—
841	#106	—	43	2	no	—
842	#106	—	43	2	no	—
843	#106	—	43	2	no	—
844	#106	—	43	2	no	—
845	#106	—	43	2	no	—
846	#106	—	43	2	no	—
847	#106	C₂²×D₄₃	1	1	yes	characteristic
848	#106	C₂²×D₄₃	1	1	yes	characteristic
849	#106	C₂²×D₄₃	1	1	yes	characteristic
850	#106	C₂²×D₄₃	1	1	yes	characteristic
851	C₄⋊C₈	—	43	2	no	—
852	C₄⋊C₈	—	43	2	no	—
853	#103	—	43	2	no	—
854	#103	—	43	2	no	—
855	#103	—	43	2	no	—
856	#103	—	43	2	no	—
857	#103	—	43	2	no	—
858	#103	—	43	2	no	—
859	#103	—	43	2	no	—
860	#103	C₂²×D₄₃	1	1	yes	characteristic
861	#103	C₂²×D₄₃	1	1	yes	characteristic
862	#103	C₂²×D₄₃	1	1	yes	characteristic
863	#103	C₂²×D₄₃	1	1	yes	characteristic
864	#102	—	43	2	no	—
865	#102	C₂²×D₄₃	1	1	yes	characteristic
866	#102	C₂²×D₄₃	1	1	yes	characteristic
867	#102	C₂²×D₄₃	1	1	yes	characteristic
868	#102	C₂²×D₄₃	1	1	yes	characteristic
869	C₂²⋊C₈	—	43	2	no	—
870	C₂²⋊C₈	—	43	2	no	—
871	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
872	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
873	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
874	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
875	#97	—	43	2	no	—
876	C₄×C₈	—	43	2	no	—
877	C₂⁴	D₄×D₄₃	1	1	yes	characteristic
878	#41	—	2	2	no	—
879	#41	—	2	2	no	—
880	#41	—	86	2	no	—
881	#41	—	86	2	no	—
882	C₂×Q₈	—	43	1	no	—
883	C₂×Q₈	—	43	2	no	—
884	C₂×Q₈	—	86	2	no	—
885	C₂×Q₈	—	86	2	no	—
886	C₂×Q₈	—	86	1	no	—
887	C₂×Q₈	—	86	2	no	—
888	C₂×Q₈	—	86	2	no	—
889	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
890	C₂×D₄	—	2	1	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	2	1	no	—
893	C₂×D₄	—	43	2	no	—
894	C₂×D₄	—	43	2	no	—
895	C₂×D₄	—	43	2	no	—
896	C₂×D₄	—	43	1	no	—
897	C₂×D₄	—	86	2	no	—
898	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	1	no	—
903	C₂²×C₄	—	2	1	no	—
904	C₂²×C₄	—	43	2	no	—
905	C₂²×C₄	—	86	2	no	—
906	C₂²×C₄	—	86	2	no	—
907	C₂²×C₄	—	86	2	no	—
908	C₂²×C₄	—	86	1	no	—
909	C₂²×C₄	—	86	1	no	—
910	C₂²×C₄	—	86	1	no	—
911	C₂²×C₄	—	86	1	no	—
912	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
913	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
914	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
915	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
916	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
917	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
918	Q₁₆	—	86	4	no	—
919	SD₁₆	—	86	4	no	—
920	M₁₆	—	43	4	no	—
921	M₁₆	—	86	4	no	—
922	M₁₆	—	86	4	no	—
923	M₁₆	—	86	2	no	—
924	C₂×C₈	—	2	2	no	—
925	C₂×C₈	—	2	2	no	—
926	C₂×C₈	—	43	2	no	—
927	C₂×C₈	—	43	2	no	—
928	C₂×C₈	—	86	4	no	—
929	C₂×C₈	—	86	4	no	—
930	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
931	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
932	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
933	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	43	1	no	—
939	C₄⋊C₄	—	43	1	no	—
940	C₄⋊C₄	—	43	2	no	—
941	C₄⋊C₄	—	43	2	no	—
942	C₄⋊C₄	—	43	2	no	—
943	C₄⋊C₄	—	43	2	no	—
944	C₄⋊C₄	—	43	2	no	—
945	C₄⋊C₄	—	86	2	no	—
946	C₄⋊C₄	—	86	2	no	—
947	C₄⋊C₄	—	86	2	no	—
948	C₄⋊C₄	—	86	2	no	—
949	C₄⋊C₄	—	86	2	no	—
950	C₄⋊C₄	—	86	2	no	—
951	C₄⋊C₄	—	86	2	no	—
952	C₄⋊C₄	—	86	2	no	—
953	C₄⋊C₄	—	86	2	no	—
954	C₄⋊C₄	—	86	2	no	—
955	C₄⋊C₄	—	86	2	no	—
956	C₄⋊C₄	—	86	2	no	—
957	C₄⋊C₄	—	86	2	no	—
958	C₄⋊C₄	—	86	2	no	—
959	C₄⋊C₄	—	86	1	no	—
960	C₄⋊C₄	—	86	1	no	—
961	C₄⋊C₄	—	86	1	no	—
962	C₄⋊C₄	—	86	2	no	—
963	C₄⋊C₄	—	86	2	no	—
964	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
966	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	1	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	1	no	—
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	43	2	no	—
980	C₂²⋊C₄	—	43	2	no	—
981	C₂²⋊C₄	—	43	2	no	—
982	C₂²⋊C₄	—	43	2	no	—
983	C₂²⋊C₄	—	43	2	no	—
984	C₂²⋊C₄	—	86	2	no	—
985	C₂²⋊C₄	—	86	2	no	—
986	C₂²⋊C₄	—	86	2	no	—
987	C₂²⋊C₄	—	86	2	no	—
988	C₂²⋊C₄	—	86	2	no	—
989	C₂²⋊C₄	—	86	2	no	—
990	C₂²⋊C₄	—	86	2	no	—
991	C₂²⋊C₄	—	86	2	no	—
992	C₂²⋊C₄	—	86	2	no	—
993	C₂²⋊C₄	—	86	2	no	—
994	C₂²⋊C₄	—	86	2	no	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	43	2	no	—
1001	C₄²	—	86	2	no	—
1002	C₄²	—	86	2	no	—
1003	C₄²	—	86	2	no	—
1004	C₄²	—	86	2	no	—
1005	C₄²	—	86	2	no	—
1006	C₄²	—	86	2	no	—
1007	C₄²	—	86	2	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	1	no	—
1010	C₂³	—	4	1	no	—
1011	C₂³	—	4	1	no	—
1012	C₂³	—	43	2	no	—
1013	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1014	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1015	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1016	Q₈	—	2	1	no	—
1017	Q₈	—	2	1	no	—
1018	Q₈	—	86	2	no	—
1019	Q₈	—	86	2	no	—
1020	Q₈	—	86	2	no	—
1021	Q₈	—	344	2	no	—
1022	Q₈	—	344	2	no	—
1023	Q₈	—	172	2	no	—
1024	D₄	—	2	1	no	—
1025	D₄	—	2	1	no	—
1026	D₄	—	4	2	no	—
1027	D₄	—	8	1	no	—
1028	D₄	—	8	1	no	—
1029	D₄	—	86	4	no	—
1030	D₄	—	86	2	no	—
1031	D₄	—	344	2	no	—
1032	D₄	—	172	2	no	—
1033	D₄	—	172	2	no	—
1034	C₂×C₄	—	2	2	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	4	2	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	8	1	no	—
1051	C₂×C₄	—	43	2	no	—
1052	C₂×C₄	—	43	2	no	—
1053	C₂×C₄	—	43	2	no	—
1054	C₂×C₄	—	86	2	no	—
1055	C₂×C₄	—	86	2	no	—
1056	C₂×C₄	—	86	2	no	—
1057	C₂×C₄	—	86	2	no	—
1058	C₂×C₄	—	86	2	no	—
1059	C₂×C₄	—	86	2	no	—
1060	C₂×C₄	—	344	2	no	—
1061	C₂×C₄	—	344	2	no	—
1062	C₂×C₄	—	344	2	no	—
1063	C₂×C₄	—	344	1	no	—
1064	C₂×C₄	—	344	1	no	—
1065	C₂×C₄	—	344	1	no	—
1066	C₂×C₄	—	172	2	no	—
1067	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1068	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1069	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1070	C₂×C₄	#41×D₄₃	1	2	yes	—
1071	C₂×C₄	#13063372	1	2	yes	—
1072	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1073	C₈	—	2	1	no	—
1074	C₈	—	2	1	no	—
1075	C₈	—	2	1	no	—
1076	C₈	—	2	1	no	—
1077	C₈	—	43	4	no	—
1078	C₈	—	86	2	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	2	1	no	—
1085	C₂²	—	2	1	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	4	1	no	—
1088	C₂²	—	4	1	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	8	2	no	—
1091	C₂²	—	86	2	no	—
1092	C₂²	—	86	2	no	—
1093	C₂²	—	86	2	no	—
1094	C₂²	#14583547	1	2	yes	—
1095	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1096	C₄	—	2	1	no	—
1097	C₄	—	2	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	86	2	no	—
1106	C₄	—	86	2	no	—
1107	C₄	—	86	2	no	—
1108	C₄	—	172	2	no	—
1109	C₄	—	172	2	no	—
1110	C₄	—	172	2	no	—
1111	C₄	—	172	2	no	—
1112	C₄	#14583547	1	2	yes	—
1113	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1114	C₄	C₂×#13063372	1	1	yes	characteristic
1115	C₂	—	2	2	no	—
1116	C₂	—	4	1	no	—
1117	C₂	—	4	1	no	—
1118	C₂	—	8	1	no	—
1119	C₂	—	172	2	no	—
1120	C₂	C₂×#14583547	1	1	yes	characteristic
1121	C₂	#19149364	1	1	yes	characteristic
1122	C₂	#19149379	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
prime radical	#19148312	C₂
hypercenter	#3091	D₄₃
hypocenter	C₄₃	#61277
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. #19148347	C₂	semidirect
3. #19147214	C₂	semidirect
4. #19147170	C₂	semidirect
5. #19147144	C₂	semidirect
6. #19147129	C₂	semidirect
7. #19147113	C₂	semidirect
8. #19147053	C₂	semidirect
9. #19147020	C₂	semidirect
10. #19146967	C₂	semidirect
11. #19145135	C₂	semidirect
12. #19144571	C₂	semidirect
13. #19144567	C₂	semidirect
14. C₂×#14583241	C₂	semidirect
15. #19144455	C₂	semidirect
16. #19144440	C₂	semidirect
17. #19144289	C₂	semidirect
18. #19144227	C₂	semidirect
19. #19143441	C₂	semidirect
20. #19143316	C₂	semidirect
21. #19143187	C₂	semidirect
22. #19143184	C₂	semidirect
23. C₄₃×#3091	C₂	semidirect
58. #14583306	C₂²	semidirect
59. #14583306	C₂²	semidirect
60. #14583303	C₂²	semidirect
61. #14583300	C₂²	semidirect
62. #14583243	C₂²	semidirect
63. #14583242	C₂²	semidirect
68. #14583239	C₂²	semidirect
69. #14583236	C₂²	semidirect
70. #14583233	C₂²	semidirect
71. #14583231	C₂²	semidirect
72. #14583221	C₂²	semidirect
73. #14583211	C₂²	semidirect
74. #14583209	C₂²	semidirect
75. #14583205	C₂²	semidirect
76. #14583204	C₂²	semidirect
77. #14583201	C₂²	semidirect
78. #14583193	C₂²	semidirect
79. #14583187	C₂²	semidirect
80. #14583183	C₂²	semidirect
81. #14583182	C₂²	semidirect
82. #14583156	C₂²	semidirect
84. #14583144	C₂²	semidirect
86. #14583139	C₂²	semidirect
88. #14583127	C₂²	semidirect
90. #14583003	C₂²	semidirect
91. #14582996	C₂²	semidirect
92. #14582991	C₂²	semidirect
93. #14582990	C₂²	semidirect
103. #14582940	C₂²	semidirect
104. #14582940	C₂²	semidirect
109. #14582934	C₂²	semidirect
112. #106×D₄₃	C₂²	semidirect
567. #3091	D₄₃	semidirect
696. C₄₃	#61277	semidirect

Maximal subgroups

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

subgroup	index
#19148347	2
#19148312	2
#19147214	2
#19147170	2
#19147144	2
#19147129	2
#19147113	2
#19147053	2
#19147020	2
#19146967	2
#19145135	2
#19144571	2
#19144567	2
C₂×#14583241	2
#19144455	2
#19144440	2
#19144289	2
#19144227	2
#19143441	2
#19143316	2
#19143187	2
#19143184	2
C₄₃×#3091	2
#61277	43