Subgroups — #25966445

Order 11008.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19147986	C₂	1	1	yes	maximal, characteristic, complemented
2	#19147979	C₂	1	1	yes	maximal, characteristic, complemented
3	#19145253	C₂	1	1	yes	maximal, characteristic, complemented
4	#19145248	C₂	1	1	yes	maximal, characteristic, complemented
5	#19145244	C₂	1	1	yes	maximal, characteristic, complemented
6	#19145239	C₂	1	1	yes	maximal, characteristic, complemented
7	#19145232	C₂	1	2	yes	maximal, complemented
8	#19145229	C₂	1	2	yes	maximal, complemented
9	#19145225	C₂	1	1	yes	maximal, characteristic, complemented
10	#19145223	C₂	1	1	yes	maximal, characteristic, complemented
11	#19145220	C₂	1	1	yes	maximal, characteristic, complemented
12	#19145208	C₂	1	2	yes	maximal, complemented
13	#19145205	C₂	1	2	yes	maximal, complemented
14	#19145108	C₂	1	1	yes	maximal, characteristic, complemented
15	#19145018	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144942	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144939	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144199	C₂	1	2	yes	maximal, complemented
19	#19144171	C₂	1	2	yes	maximal, complemented
20	#19143390	C₂	1	2	yes	maximal, complemented
21	C₄×#13063346	C₂	1	2	yes	maximal, complemented
22	#405×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3174	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063346	C₂²	1	2	yes	—
25	C₂×#13063346	C₂²	1	2	yes	—
26	C₂×M₁₆×D₄₃	C₂²	1	1	yes	characteristic
27	C₂²×C₈×D₄₃	C₂²	1	1	yes	characteristic
28	#14583522	C₂²	1	2	yes	—
29	#14583521	C₂²	1	2	yes	—
30	#14583516	C₂²	1	2	yes	—
31	#14583514	C₂²	1	2	yes	—
32	#14583512	C₂²	1	1	yes	characteristic
33	#14583511	C₂²	1	1	yes	characteristic
34	#14583510	C₂²	1	1	yes	characteristic
35	#14583505	C₂²	1	1	yes	characteristic
36	#14583504	C₂²	1	1	yes	characteristic
37	#14583503	C₂²	1	1	yes	characteristic
38	#14583497	—	2	2	no	—
39	#14583492	—	2	2	no	—
40	#14583488	—	2	2	no	—
41	#14583481	—	2	2	no	—
42	#14583455	C₂²	1	1	yes	characteristic
43	#14583455	C₂²	1	1	yes	characteristic
44	#14583450	C₂²	1	1	yes	characteristic
45	#14583447	C₂²	1	1	yes	characteristic
46	#14583434	—	2	2	no	—
47	#14583432	—	2	2	no	—
48	#14583430	—	2	2	no	—
49	#14583426	—	2	2	no	—
50	#14583412	C₂²	1	2	yes	—
51	#14583409	C₂²	1	2	yes	—
52	C₄×#10621902	C₂²	1	2	yes	—
53	C₄×#10621900	C₂²	1	2	yes	—
54	#117×D₄₃	C₂²	1	1	yes	characteristic
55	#14583303	C₂²	1	2	yes	complemented
56	#14583301	C₂²	1	1	yes	characteristic, complemented
57	#14583298	C₂²	1	1	yes	characteristic, complemented
58	#14583298	C₂²	1	1	yes	characteristic, complemented
59	#14583296	C₂²	1	2	yes	complemented
60	#14583280	C₂²	1	2	yes	complemented
61	#14583280	C₂²	1	2	yes	complemented
62	#14583278	C₂²	1	1	yes	characteristic, complemented
63	#14583275	C₂²	1	1	yes	characteristic, complemented
64	#14583272	C₂²	1	1	yes	characteristic, complemented
65	#14583269	C₂²	1	1	yes	characteristic, complemented
66	#14583268	C₂²	1	1	yes	characteristic, complemented
67	#14583267	C₂²	1	1	yes	characteristic, complemented
68	#14583265	C₂²	1	1	yes	characteristic, complemented
69	#14583264	C₂²	1	1	yes	characteristic, complemented
70	#14583263	C₂²	1	1	yes	characteristic, complemented
71	#14583260	C₂²	1	2	yes	complemented
72	#14583260	C₂²	1	2	yes	complemented
73	#14583257	C₂²	1	2	yes	complemented
74	#14583257	C₂²	1	2	yes	complemented
75	#14583156	C₂²	1	2	yes	—
76	#14583155	C₂²	1	2	yes	—
77	#14583151	C₂²	1	2	yes	—
78	#14583150	C₂²	1	2	yes	—
79	#14583146	C₂²	1	2	yes	—
80	#14583145	C₂²	1	2	yes	—
81	#14583142	C₂²	1	2	yes	—
82	#14583139	C₂²	1	2	yes	—
83	#14583138	C₂²	1	2	yes	—
84	#14583134	C₂²	1	2	yes	—
85	#14583133	C₂²	1	2	yes	—
86	#14583129	C₂²	1	2	yes	—
87	#14583128	C₂²	1	2	yes	—
88	#14583125	C₂²	1	2	yes	—
89	#14583009	C₂²	1	2	yes	complemented
90	#14583008	C₂²	1	2	yes	complemented
91	#14583004	C₂²	1	2	yes	complemented
92	#14583003	C₂²	1	2	yes	complemented
93	#14583001	C₂²	1	2	yes	complemented
94	#14583000	C₂²	1	2	yes	complemented
95	#14582998	C₂²	1	2	yes	complemented
96	C₄×#10621885	C₂²	1	2	yes	complemented
97	#14582991	C₂²	1	2	yes	complemented
98	C₄×#10621873	C₂²	1	2	yes	complemented
99	SD₁₆×Dic₄₃	C₂²	1	2	yes	complemented
100	#14582986	C₂²	1	2	yes	complemented
101	C₄×#10621882	C₂²	1	2	yes	complemented
102	#14582979	C₂²	1	2	yes	complemented
103	#14582936	C₂²	1	2	yes	—
104	#14582934	C₂²	1	2	yes	—
105	#14582894	C₂²	1	2	yes	—
106	#14582894	C₂²	1	2	yes	—
107	#14582892	C₂²	1	2	yes	—
108	#14582892	C₂²	1	2	yes	—
109	#14582857	C₂²	1	1	yes	characteristic
110	#14582856	C₂²	1	1	yes	characteristic
111	#14582856	C₂²	1	1	yes	characteristic
112	#14582855	C₂²	1	1	yes	characteristic
113	#14582854	C₂²	1	1	yes	characteristic
114	#14582853	C₂²	1	1	yes	characteristic
115	#14582853	C₂²	1	1	yes	characteristic
116	#97×D₄₃	C₂²	1	1	yes	characteristic
117	#97×D₄₃	C₂²	1	1	yes	characteristic
118	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
119	C₄×C₈×D₄₃	C₂²	1	1	yes	characteristic
120	C₄₃×#541	C₂²	1	1	yes	characteristic
121	C₄₃×#540	C₂²	1	1	yes	characteristic
122	C₄₃×#499	C₂²	1	1	yes	characteristic, complemented
123	C₄₃×#492	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#491	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#490	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#468	C₂²	1	2	yes	—
127	C₄₃×#465	C₂²	1	2	yes	—
128	C₄₃×#440	C₂²	1	2	yes	complemented
129	C₄×SD₁₆×C₄₃	C₂²	1	2	yes	complemented
130	C₄₃×#405	C₂²	1	1	yes	characteristic
131	C₂×#10621902	C₂³	1	2	yes	—
132	C₂×#10621900	C₂³	1	2	yes	—
133	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
134	#13063346	—	2	8	no	—
135	#13063346	—	2	8	no	—
136	C₂×#10621885	C₂³	1	2	yes	—
137	C₂×#10621885	C₂³	1	2	yes	—
138	C₂×#10621873	C₂³	1	2	yes	—
139	C₂×#10621873	C₂³	1	2	yes	—
140	C₂×#10621882	C₂³	1	2	yes	—
141	C₂×#10621882	C₂³	1	2	yes	—
142	C₂×#10621877	C₂³	1	1	yes	characteristic
143	C₂×#10621872	C₂³	1	1	yes	characteristic
144	C₂×#10621872	C₂³	1	1	yes	characteristic
145	M₁₆×D₄₃	—	2	4	no	—
146	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
147	C₂×C₈×D₄₃	—	2	4	no	—
148	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
149	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
150	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
151	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
152	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
153	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
154	#13063325	C₂³	1	1	yes	characteristic
155	#13063324	C₂³	1	2	yes	—
156	#13063324	C₂³	1	2	yes	—
157	#13063322	C₂³	1	1	yes	characteristic
158	#13063320	—	2	2	no	—
159	#13063320	—	2	2	no	—
160	#13063320	—	2	2	no	—
161	#13063319	—	2	2	no	—
162	#13063318	—	2	2	no	—
163	#13063318	—	2	2	no	—
164	#13063318	—	2	2	no	—
165	#13063317	C₂³	1	1	yes	characteristic
166	#13063317	C₂³	1	1	yes	characteristic
167	#13063316	—	2	2	no	—
168	#13063315	—	2	2	no	—
169	#13063315	—	2	2	no	—
170	#13063314	C₂³	1	2	yes	—
171	#13063313	—	2	2	no	—
172	#13063312	—	2	2	no	—
173	#13063312	C₂³	1	2	yes	—
174	#13063311	—	2	2	no	—
175	#13063311	—	2	2	no	—
176	#13063310	—	2	2	no	—
177	#13063310	—	2	2	no	—
178	#13063310	—	2	2	no	—
179	#13063310	—	2	2	no	—
180	#13063308	—	2	2	no	—
181	#13063307	—	2	2	no	—
182	#13063307	—	2	2	no	—
183	#13063306	—	2	2	no	—
184	#13063306	—	2	2	no	—
185	#13063305	—	2	2	no	—
186	#13063305	C₂³	1	2	yes	—
187	#13063304	—	2	2	no	—
188	#13063304	C₂³	1	2	yes	—
189	#13063303	—	2	2	no	—
190	#13063303	—	2	2	no	—
191	#13063303	—	2	2	no	—
192	#13063302	—	2	2	no	—
193	#13063301	C₂³	1	2	yes	—
194	#13063300	—	2	2	no	—
195	#13063300	—	2	2	no	—
196	#13063300	C₂³	1	2	yes	—
197	#13063299	C₂³	1	2	yes	—
198	#13063298	—	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	#13063293	—	2	2	no	—
204	Q₈×Dic₄₃	C₂³	1	2	yes	—
205	C₄×Dic₈₆	C₂³	1	2	yes	—
206	#13063290	—	2	2	no	—
207	#13063290	—	2	2	no	—
208	#13063290	C₂³	1	2	yes	—
209	C₄×D₁₇₂	—	2	2	no	—
210	C₄×D₁₇₂	C₂³	1	2	yes	—
211	D₄×Dic₄₃	—	2	2	no	—
212	D₄×Dic₄₃	—	2	2	no	—
213	D₄×Dic₄₃	C₂³	1	2	yes	—
214	#13063287	—	2	2	no	—
215	#13063287	—	2	2	no	—
216	#13063287	—	2	2	no	—
217	#13063287	C₂³	1	2	yes	—
218	C₄×C₂²⋊D₄₃	—	2	2	no	—
219	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
221	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
222	#13063284	C₂³	1	1	yes	characteristic
223	#13063283	—	2	2	no	—
224	#13063283	D₄	1	2	yes	—
225	#13063283	C₂³	1	2	yes	—
226	#13063283	C₂³	1	2	yes	—
227	#13063282	C₂³	1	1	yes	characteristic
228	#13063282	C₂³	1	1	yes	characteristic
229	#13063281	—	2	2	no	—
230	#13063281	D₄	1	2	yes	—
231	C₄⋊C₄×D₄₃	D₄	1	2	yes	—
232	C₂²⋊C₄×D₄₃	D₄	1	2	yes	—
233	C₂×C₄×Dic₄₃	—	2	2	no	—
234	C₄²×D₄₃	—	2	2	no	—
235	C₄²×D₄₃	C₂³	1	1	yes	characteristic
236	C₄²×D₄₃	C₂³	1	1	yes	characteristic
237	#13063259	C₂³	1	2	yes	—
238	#13063258	C₂³	1	2	yes	—
239	#13063258	C₂³	1	2	yes	—
240	#13063257	C₂³	1	2	yes	—
241	#13063256	C₂³	1	2	yes	—
242	#13063256	C₂³	1	2	yes	—
243	#13063250	C₂³	1	2	yes	—
244	#13063250	C₂³	1	2	yes	—
245	#13063249	C₂³	1	2	yes	—
246	#13063249	C₂³	1	2	yes	—
247	#13063248	C₂³	1	2	yes	—
248	#13063248	C₂³	1	2	yes	—
249	#13063247	C₂³	1	2	yes	—
250	#13063247	C₂³	1	2	yes	—
251	#13063246	C₂³	1	2	yes	—
252	#13063246	C₂³	1	2	yes	—
253	#13063245	C₂³	1	2	yes	—
254	#13063245	C₂³	1	2	yes	—
255	#13063236	C₂³	1	1	yes	characteristic
256	#13063236	C₂³	1	1	yes	characteristic
257	#13063235	C₂³	1	1	yes	characteristic
258	#13063235	C₂³	1	1	yes	characteristic
259	#13063235	C₂³	1	1	yes	characteristic
260	#13063235	C₂³	1	1	yes	characteristic
261	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
262	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
263	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
264	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
265	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
266	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
267	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	—
268	C₂×SD₁₆×C₄₃	C₂³	1	2	yes	—
269	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
270	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
271	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
272	#127×C₄₃	C₂³	1	1	yes	characteristic
273	#126×C₄₃	—	2	2	no	—
274	#125×C₄₃	—	2	2	no	—
275	#125×C₄₃	C₂³	1	1	yes	characteristic
276	#125×C₄₃	C₂³	1	1	yes	characteristic
277	#123×C₄₃	—	2	2	no	—
278	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
279	#121×C₄₃	—	2	2	no	—
280	#121×C₄₃	C₂³	1	2	yes	—
281	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
282	C₄×D₄×C₄₃	C₂³	1	2	yes	—
283	#117×C₄₃	C₂³	1	1	yes	characteristic
284	#107×C₄₃	C₂³	1	2	yes	—
285	#106×C₄₃	C₂³	1	2	yes	—
286	#103×C₄₃	C₂³	1	2	yes	—
287	#103×C₄₃	C₂³	1	2	yes	—
288	#102×C₄₃	C₂³	1	2	yes	—
289	#102×C₄₃	C₂³	1	2	yes	—
290	#97×C₄₃	C₂³	1	1	yes	characteristic
291	#97×C₄₃	C₂³	1	1	yes	characteristic
292	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
293	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
294	C₂³×D₄₃	C₂×D₄	1	1	yes	characteristic
295	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
296	C₂×D₄×C₄₃	—	2	2	no	—
297	C₂×D₄×C₄₃	—	2	2	no	—
298	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₄₃	—	2	2	no	—
300	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
301	C₂×C₂²⋊D₄₃	—	2	2	no	—
302	C₂×C₂²⋊D₄₃	—	2	2	no	—
303	C₂×C₂²⋊D₄₃	—	2	2	no	—
304	C₂²×Dic₄₃	—	2	2	no	—
305	C₂²×Dic₄₃	—	2	2	no	—
306	C₂²×Dic₄₃	C₂×D₄	1	1	yes	characteristic
307	#10621902	—	2	4	no	—
308	#10621902	—	2	4	no	—
309	#10621900	—	2	4	no	—
310	#10621900	—	2	4	no	—
311	C₂×D₁₇₂	—	2	2	no	—
312	C₂×D₁₇₂	—	2	2	no	—
313	C₂×D₁₇₂	—	2	2	no	—
314	C₂×D₁₇₂	C₂⁴	1	2	yes	—
315	C₂×C₄×D₄₃	—	2	2	no	—
316	C₂×C₄×D₄₃	—	2	2	no	—
317	C₂×C₄×D₄₃	—	2	2	no	—
318	C₂×C₄×D₄₃	—	2	2	no	—
319	C₂×C₄×D₄₃	—	2	2	no	—
320	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
321	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
322	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
323	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
324	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
325	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
326	C₂×Dic₈₆	—	2	2	no	—
327	C₂×Dic₈₆	—	2	2	no	—
328	C₂×Dic₈₆	C₂⁴	1	2	yes	—
329	SD₁₆×C₄₃	—	2	4	no	—
330	SD₁₆×C₄₃	—	2	4	no	—
331	M₁₆×C₄₃	—	2	2	no	—
332	C₂×C₈×C₄₃	—	2	2	no	—
333	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
334	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
335	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
336	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
337	C₄⋊C₄×C₄₃	—	2	2	no	—
338	C₄⋊C₄×C₄₃	—	2	2	no	—
339	C₄⋊C₄×C₄₃	—	2	2	no	—
340	C₄⋊C₄×C₄₃	—	2	2	no	—
341	C₄⋊C₄×C₄₃	—	2	2	no	—
342	C₄⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
343	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
344	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
345	C₂²⋊C₄×C₄₃	—	2	2	no	—
346	C₂²⋊C₄×C₄₃	—	2	2	no	—
347	C₂²⋊C₄×C₄₃	—	2	2	no	—
348	C₂²⋊C₄×C₄₃	C₂×D₄	1	2	yes	—
349	C₄²×C₄₃	—	2	2	no	—
350	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
351	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
352	C₂²⋊Dic₄₃	—	2	2	no	—
353	C₂²⋊Dic₄₃	—	2	2	no	—
354	C₂²⋊Dic₄₃	—	2	2	no	—
355	C₂²⋊Dic₄₃	—	2	2	no	—
356	C₂²⋊Dic₄₃	—	2	2	no	—
357	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
358	#10621885	—	2	4	no	—
359	#10621885	—	2	4	no	—
360	#10621882	—	2	4	no	—
361	#10621882	—	2	4	no	—
362	(C₂×D₄₃)⋊C₄	—	2	2	no	—
363	(C₂×D₄₃)⋊C₄	—	2	2	no	—
364	(C₂×D₄₃)⋊C₄	—	2	2	no	—
365	(C₂×D₄₃)⋊C₄	—	2	2	no	—
366	(C₂×D₄₃)⋊C₄	—	2	2	no	—
367	(C₂×D₄₃)⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
373	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
374	C₄⋊Dic₄₃	—	2	2	no	—
375	C₄⋊Dic₄₃	—	2	2	no	—
376	C₄⋊Dic₄₃	—	2	2	no	—
377	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
378	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
379	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
380	Dic₄₃⋊C₄	—	2	2	no	—
381	Dic₄₃⋊C₄	—	2	2	no	—
382	Dic₄₃⋊C₄	—	2	2	no	—
383	Dic₄₃⋊C₄	—	2	2	no	—
384	Dic₄₃⋊C₄	—	2	2	no	—
385	Dic₄₃⋊C₄	—	2	2	no	—
386	Dic₄₃⋊C₄	—	2	2	no	—
387	Dic₄₃⋊C₄	—	2	2	no	—
388	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
389	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
390	C₄×Dic₄₃	—	2	2	no	—
391	C₄×Dic₄₃	—	2	2	no	—
392	C₄×Dic₄₃	—	2	2	no	—
393	C₄×Dic₄₃	—	2	2	no	—
394	C₄×Dic₄₃	—	2	2	no	—
395	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
396	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
397	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
398	C₄×Dic₄₃	C₂⁴	1	1	yes	characteristic
399	#10621877	—	2	2	no	—
400	C₂×C₄₃⋊C₈	—	2	2	no	—
401	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
402	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
403	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
404	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
405	#10621873	—	2	4	no	—
406	#10621873	—	2	4	no	—
407	#10621872	—	2	2	no	—
408	#10621872	—	2	2	no	—
409	C₈×D₄₃	—	2	2	no	—
410	C₈×D₄₃	—	2	2	no	—
411	C₈×D₄₃	—	2	2	no	—
412	C₈×D₄₃	—	2	2	no	—
413	C₈×D₄₃	#41	1	4	yes	—
414	C₈×D₄₃	#41	1	4	yes	—
415	C₂³×C₄₃	—	2	2	no	—
416	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
417	C₂²×D₄₃	—	2	2	no	—
418	C₂²×D₄₃	—	2	2	no	—
419	C₂²×D₄₃	—	4	2	no	—
420	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
421	C₂²×D₄₃	C₂²×D₄	1	1	yes	characteristic
422	Q₈×C₄₃	—	2	2	no	—
423	Q₈×C₄₃	—	2	2	no	—
424	D₄×C₄₃	—	2	2	no	—
425	D₄×C₄₃	—	2	2	no	—
426	D₄×C₄₃	—	8	2	no	—
427	D₄×C₄₃	—	8	2	no	—
428	C₂×C₄×C₄₃	—	2	1	no	—
429	C₂×C₄×C₄₃	—	2	1	no	—
430	C₂×C₄×C₄₃	—	2	2	no	—
431	C₂×C₄×C₄₃	—	2	2	no	—
432	C₂×C₄×C₄₃	—	2	2	no	—
433	C₂×C₄×C₄₃	—	8	2	no	—
434	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
436	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
437	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
438	C₂²⋊D₄₃	—	4	4	no	—
439	C₂²⋊D₄₃	—	8	2	no	—
440	C₂²⋊D₄₃	—	8	2	no	—
441	C₂×Dic₄₃	—	2	2	no	—
442	C₂×Dic₄₃	—	2	2	no	—
443	C₂×Dic₄₃	—	2	2	no	—
444	C₂×Dic₄₃	—	2	2	no	—
445	C₂×Dic₄₃	—	4	4	no	—
446	C₂×Dic₄₃	—	8	2	no	—
447	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
448	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
449	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
450	C₂×Dic₄₃	C₂²×D₄	1	1	yes	characteristic
451	D₁₇₂	—	2	2	no	—
452	D₁₇₂	—	2	2	no	—
453	D₁₇₂	—	4	4	no	—
454	D₁₇₂	—	8	2	no	—
455	D₁₇₂	—	8	2	no	—
456	C₄×D₄₃	—	2	2	no	—
457	C₄×D₄₃	—	2	1	no	—
458	C₄×D₄₃	—	2	1	no	—
459	C₄×D₄₃	—	2	2	no	—
460	C₄×D₄₃	—	4	2	no	—
461	C₄×D₄₃	—	4	2	no	—
462	C₄×D₄₃	—	4	4	no	—
463	C₄×D₄₃	—	8	2	no	—
464	C₄×D₄₃	—	8	2	no	—
465	C₄×D₄₃	C₂×#41	1	2	yes	—
466	C₄×D₄₃	C₂×#41	1	2	yes	—
467	Dic₈₆	—	2	2	no	—
468	Dic₈₆	—	2	2	no	—
469	Dic₈₆	—	8	2	no	—
470	Dic₈₆	—	8	2	no	—
471	C₈×C₄₃	—	2	1	no	—
472	C₈×C₄₃	—	2	1	no	—
473	C₈×C₄₃	C₂×#41	1	2	yes	—
474	C₈×C₄₃	C₂×#41	1	2	yes	—
475	C₄₃⋊C₈	—	2	1	no	—
476	C₄₃⋊C₈	—	2	1	no	—
477	C₄₃⋊C₈	C₂×#41	1	2	yes	—
478	C₄₃⋊C₈	C₂×#41	1	2	yes	—
479	#60682	—	43	1	no	maximal, Sylow
480	C₂²×C₄₃	—	2	2	no	—
481	C₂²×C₄₃	—	2	1	no	—
482	C₂²×C₄₃	—	4	2	no	—
483	C₂²×C₄₃	—	4	2	no	—
484	C₂²×C₄₃	—	4	2	no	—
485	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
486	C₂×D₄₃	—	2	2	no	—
487	C₂×D₄₃	—	2	2	no	—
488	C₂×D₄₃	—	2	1	no	—
489	C₂×D₄₃	—	4	4	no	—
490	C₂×D₄₃	—	4	2	no	—
491	C₂×D₄₃	—	4	2	no	—
492	C₂×D₄₃	—	4	2	no	—
493	C₂×D₄₃	#532	1	2	yes	—
494	C₄×C₄₃	—	2	2	no	—
495	C₄×C₄₃	—	2	2	no	—
496	C₄×C₄₃	—	2	1	no	—
497	C₄×C₄₃	—	4	2	no	—
498	C₄×C₄₃	—	4	2	no	—
499	C₄×C₄₃	—	4	2	no	—
500	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
501	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
502	Dic₄₃	—	2	2	no	—
503	Dic₄₃	—	2	2	no	—
504	Dic₄₃	—	2	1	no	—
505	Dic₄₃	—	4	2	no	—
506	Dic₄₃	—	4	2	no	—
507	Dic₄₃	—	4	2	no	—
508	Dic₄₃	#532	1	2	yes	—
509	#3455	—	43	1	no	—
510	#3455	—	43	1	no	—
511	#3177	—	43	1	no	—
512	#3177	—	43	1	no	—
513	#3176	—	43	1	no	—
514	#3176	—	43	1	no	—
515	#3175	—	43	2	no	—
516	#3175	—	43	2	no	—
517	#3174	—	43	1	no	—
518	#3174	—	43	1	no	—
519	#3174	—	43	1	no	—
520	#3174	D₄₃	1	1	yes	characteristic, complemented
521	#3173	—	43	2	no	—
522	#3173	—	43	2	no	—
523	#3160	—	43	1	no	—
524	#3147	—	43	1	no	—
525	#3135	—	43	1	no	—
526	#3135	—	43	1	no	—
527	#3054	—	43	2	no	—
528	#3050	—	43	2	no	—
529	#2943	—	43	2	no	—
530	C₄×#135	—	43	2	no	—
531	C₂×#405	—	43	1	no	—
532	C₂×C₄₃	—	4	1	no	—
533	C₂×C₄₃	—	8	2	no	—
534	C₂×C₄₃	C₂×#532	1	1	yes	characteristic
535	C₂×C₄₃	#3584	1	2	yes	—
536	D₄₃	—	2	2	no	—
537	D₄₃	—	4	1	no	—
538	D₄₃	—	8	2	no	—
539	C₂×#135	—	43	2	no	—
540	C₂×#135	—	43	2	no	—
541	C₂²×M₁₆	—	43	1	no	—
542	C₂³×C₈	—	43	1	no	—
543	#542	—	43	2	no	—
544	#542	—	43	2	no	—
545	#542	—	43	2	no	—
546	#542	—	43	2	no	—
547	#541	—	43	1	no	—
548	#541	—	43	1	no	—
549	#541	—	43	1	no	—
550	#541	C₂×D₄₃	1	1	yes	characteristic
551	#540	—	43	1	no	—
552	#540	—	43	1	no	—
553	#540	—	43	1	no	—
554	#540	C₂×D₄₃	1	1	yes	characteristic
555	#539	—	86	2	no	—
556	#539	—	86	2	no	—
557	#538	—	86	2	no	—
558	#538	—	86	2	no	—
559	#533	—	43	1	no	—
560	#533	—	43	1	no	—
561	#532	—	43	1	no	—
562	#532	—	43	1	no	—
563	#529	—	86	2	no	—
564	#529	—	86	2	no	—
565	#529	—	86	2	no	—
566	#529	—	86	2	no	—
567	#525	—	43	2	no	—
568	#525	—	43	2	no	—
569	C₄×#41	—	43	2	no	—
570	C₄×#41	—	43	2	no	—
571	C₂×#117	—	43	1	no	—
572	#500	—	43	2	no	—
573	#499	—	43	1	no	—
574	#499	—	43	1	no	—
575	#499	—	43	1	no	—
576	#499	C₂×D₄₃	1	1	yes	characteristic, complemented
577	#498	—	43	2	no	—
578	#495	—	43	2	no	—
579	#495	—	43	2	no	—
580	#494	—	43	1	no	—
581	#493	—	43	1	no	—
582	#492	—	43	1	no	—
583	#492	C₂×D₄₃	1	1	yes	characteristic, complemented
584	#491	—	43	1	no	—
585	#491	—	43	1	no	—
586	#491	—	43	1	no	—
587	#491	C₂×D₄₃	1	1	yes	characteristic, complemented
588	#490	—	43	1	no	—
589	#490	—	43	1	no	—
590	#490	—	43	1	no	—
591	#490	C₂×D₄₃	1	1	yes	characteristic, complemented
592	#489	—	43	2	no	—
593	#489	—	43	2	no	—
594	#489	—	43	2	no	—
595	#489	—	43	2	no	—
596	#470	—	43	2	no	—
597	#470	—	43	2	no	—
598	#469	—	43	2	no	—
599	#469	—	43	2	no	—
600	#468	—	43	2	no	—
601	#468	—	43	2	no	—
602	#468	—	43	2	no	—
603	#468	C₂×D₄₃	1	2	yes	—
604	#467	—	43	2	no	—
605	#467	—	43	2	no	—
606	#466	—	43	2	no	—
607	#466	—	43	2	no	—
608	#465	—	43	2	no	—
609	#465	—	43	2	no	—
610	#465	—	43	2	no	—
611	#465	C₂×D₄₃	1	2	yes	—
612	#442	—	43	2	no	—
613	#442	—	43	2	no	—
614	#441	—	43	2	no	—
615	#441	—	43	2	no	—
616	#440	—	43	2	no	—
617	#440	—	43	2	no	—
618	#440	—	43	2	no	—
619	#440	C₂×D₄₃	1	2	yes	complemented
620	C₄×Q₁₆	—	43	2	no	—
621	C₄×Q₁₆	—	43	2	no	—
622	C₄×SD₁₆	—	43	2	no	—
623	C₄×SD₁₆	—	43	2	no	—
624	C₄×SD₁₆	—	43	2	no	—
625	C₄×SD₁₆	C₂×D₄₃	1	2	yes	complemented
626	C₄×D₈	—	43	2	no	—
627	C₄×D₈	—	43	2	no	—
628	#427	—	43	2	no	—
629	#427	—	43	2	no	—
630	#416	—	43	2	no	—
631	#416	—	43	2	no	—
632	#416	—	43	2	no	—
633	#416	—	43	2	no	—
634	#405	—	43	1	no	—
635	#405	—	43	1	no	—
636	#405	—	43	1	no	—
637	#405	—	43	1	no	—
638	#405	—	43	1	no	—
639	#405	—	43	1	no	—
640	#405	—	43	1	no	—
641	#405	C₂×D₄₃	1	1	yes	characteristic
642	C₂×#97	—	43	1	no	—
643	C₂×#97	—	43	1	no	—
644	C₂×C₄×C₈	—	43	1	no	—
645	C₂×C₄×C₈	—	43	1	no	—
646	C₄₃	#60682	1	1	yes	characteristic, complemented, Sylow
647	C₂×#41	—	43	2	no	—
648	C₂×#41	—	43	2	no	—
649	C₂³×C₄	—	43	1	no	—
650	#135	—	86	8	no	—
651	#135	—	86	8	no	—
652	C₂×Q₁₆	—	43	2	no	—
653	C₂×Q₁₆	—	43	2	no	—
654	C₂×SD₁₆	—	43	2	no	—
655	C₂×SD₁₆	—	43	2	no	—
656	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
657	C₂×SD₁₆	C₂²×D₄₃	1	2	yes	—
658	C₂×D₈	—	43	2	no	—
659	C₂×D₈	—	43	2	no	—
660	C₂×M₁₆	—	43	1	no	—
661	C₂×M₁₆	—	43	1	no	—
662	C₂×M₁₆	—	43	1	no	—
663	C₂×M₁₆	—	86	4	no	—
664	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
665	C₂²×C₈	—	43	1	no	—
666	C₂²×C₈	—	43	1	no	—
667	C₂²×C₈	—	43	1	no	—
668	C₂²×C₈	—	43	1	no	—
669	C₂²×C₈	—	43	1	no	—
670	C₂²×C₈	—	43	1	no	—
671	C₂²×C₈	—	43	1	no	—
672	C₂²×C₈	—	86	4	no	—
673	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
674	C₄⋊Q₈	—	43	2	no	—
675	C₄⋊Q₈	—	43	2	no	—
676	C₄⋊Q₈	—	43	1	no	—
677	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
678	#127	—	43	1	no	—
679	#127	C₂²×D₄₃	1	1	yes	characteristic
680	#126	—	2	2	no	—
681	#126	—	86	2	no	—
682	#126	—	86	2	no	—
683	#126	—	86	2	no	—
684	#126	—	86	2	no	—
685	#126	—	86	2	no	—
686	#126	—	86	2	no	—
687	#126	—	86	2	no	—
688	#125	—	2	2	no	—
689	#125	—	43	1	no	—
690	#125	—	43	1	no	—
691	#125	—	86	2	no	—
692	#125	—	86	2	no	—
693	#125	—	86	2	no	—
694	#125	C₂²×D₄₃	1	1	yes	characteristic
695	#125	C₂²×D₄₃	1	1	yes	characteristic
696	#124	—	43	2	no	—
697	#124	—	43	2	no	—
698	#124	—	86	2	no	—
699	#124	—	86	2	no	—
700	#124	—	86	2	no	—
701	#124	—	86	2	no	—
702	#123	—	2	2	no	—
703	#123	—	86	2	no	—
704	#123	—	86	2	no	—
705	#123	—	86	2	no	—
706	#123	—	86	2	no	—
707	#123	—	86	2	no	—
708	#123	—	86	2	no	—
709	#123	—	86	2	no	—
710	#123	—	86	2	no	—
711	#123	—	86	2	no	—
712	C₂²⋊Q₈	—	43	2	no	—
713	C₂²⋊Q₈	—	43	2	no	—
714	C₂²⋊Q₈	—	43	2	no	—
715	C₂²⋊Q₈	—	86	2	no	—
716	C₂²⋊Q₈	—	86	2	no	—
717	C₂²⋊Q₈	—	86	2	no	—
718	C₂²⋊Q₈	—	86	2	no	—
719	C₂²⋊Q₈	—	86	2	no	—
720	C₂²⋊Q₈	—	86	2	no	—
721	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
722	#121	—	2	2	no	—
723	#121	—	43	2	no	—
724	#121	—	43	2	no	—
725	#121	—	43	2	no	—
726	#121	—	86	2	no	—
727	#121	—	86	2	no	—
728	#121	—	86	2	no	—
729	#121	—	86	2	no	—
730	#121	—	86	2	no	—
731	#121	C₂²×D₄₃	1	2	yes	—
732	#120	—	86	2	no	—
733	#120	—	86	2	no	—
734	C₄×Q₈	—	43	2	no	—
735	C₄×Q₈	—	43	2	no	—
736	C₄×Q₈	—	43	2	no	—
737	C₄×Q₈	—	86	2	no	—
738	C₄×Q₈	—	86	2	no	—
739	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
740	C₄×D₄	—	43	2	no	—
741	C₄×D₄	—	43	2	no	—
742	C₄×D₄	—	43	2	no	—
743	C₄×D₄	—	86	2	no	—
744	C₄×D₄	—	86	2	no	—
745	C₄×D₄	—	86	2	no	—
746	C₄×D₄	—	86	2	no	—
747	C₄×D₄	—	86	2	no	—
748	C₄×D₄	—	86	2	no	—
749	C₄×D₄	—	86	2	no	—
750	C₄×D₄	—	86	2	no	—
751	C₄×D₄	—	86	2	no	—
752	C₄×D₄	—	86	2	no	—
753	C₄×D₄	C₂²×D₄₃	1	2	yes	—
754	#117	—	43	1	no	—
755	#117	—	43	2	no	—
756	#117	—	43	2	no	—
757	#117	—	43	1	no	—
758	#117	—	43	1	no	—
759	#117	—	43	2	no	—
760	#117	—	43	2	no	—
761	#117	—	86	2	no	—
762	#117	—	86	2	no	—
763	#117	C₂²×D₄₃	1	1	yes	characteristic
764	C₂×C₄⋊C₄	—	43	2	no	—
765	C₂×C₂²⋊C₄	—	43	2	no	—
766	C₂×C₄²	—	43	1	no	—
767	C₂×C₄²	—	43	1	no	—
768	C₂×C₄²	—	86	2	no	—
769	C₂×C₄²	—	86	2	no	—
770	#107	—	43	2	no	—
771	#107	—	43	2	no	—
772	#107	—	43	2	no	—
773	#107	C₂²×D₄₃	1	2	yes	—
774	#106	—	43	2	no	—
775	#106	—	43	2	no	—
776	#106	—	43	2	no	—
777	#106	C₂²×D₄₃	1	2	yes	—
778	#103	—	43	2	no	—
779	#103	—	43	2	no	—
780	#103	—	43	2	no	—
781	#103	—	43	2	no	—
782	#103	—	43	2	no	—
783	#103	—	43	2	no	—
784	#103	C₂²×D₄₃	1	2	yes	—
785	#103	C₂²×D₄₃	1	2	yes	—
786	#102	—	43	2	no	—
787	#102	—	43	2	no	—
788	#102	—	43	2	no	—
789	#102	—	43	2	no	—
790	#102	—	43	2	no	—
791	#102	—	43	2	no	—
792	#102	C₂²×D₄₃	1	2	yes	—
793	#102	C₂²×D₄₃	1	2	yes	—
794	#97	—	43	1	no	—
795	#97	—	43	1	no	—
796	#97	—	43	1	no	—
797	#97	—	43	1	no	—
798	#97	—	43	1	no	—
799	#97	—	43	1	no	—
800	#97	C₂²×D₄₃	1	1	yes	characteristic
801	#97	C₂²×D₄₃	1	1	yes	characteristic
802	C₄×C₈	—	43	1	no	—
803	C₄×C₈	—	43	1	no	—
804	C₄×C₈	—	43	1	no	—
805	C₄×C₈	—	43	1	no	—
806	C₄×C₈	—	43	1	no	—
807	C₄×C₈	—	43	1	no	—
808	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
809	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
810	C₂⁴	—	43	1	no	—
811	#41	—	86	4	no	—
812	#41	—	86	4	no	—
813	#41	—	86	4	no	—
814	#41	—	86	4	no	—
815	C₂×Q₈	—	43	2	no	—
816	C₂×Q₈	—	86	2	no	—
817	C₂×Q₈	—	86	2	no	—
818	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	43	2	no	—
822	C₂×D₄	—	86	2	no	—
823	C₂×D₄	—	86	2	no	—
824	C₂×D₄	—	86	2	no	—
825	C₂×D₄	—	86	2	no	—
826	C₂×D₄	—	86	2	no	—
827	C₂×D₄	—	86	2	no	—
828	C₂×D₄	C₂³×D₄₃	1	2	yes	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	43	1	no	—
831	C₂²×C₄	—	43	1	no	—
832	C₂²×C₄	—	43	1	no	—
833	C₂²×C₄	—	43	1	no	—
834	C₂²×C₄	—	43	1	no	—
835	C₂²×C₄	—	43	2	no	—
836	C₂²×C₄	—	43	2	no	—
837	C₂²×C₄	—	86	2	no	—
838	C₂²×C₄	—	86	2	no	—
839	C₂²×C₄	—	86	2	no	—
840	C₂²×C₄	—	86	2	no	—
841	C₂²×C₄	—	86	2	no	—
842	C₂²×C₄	—	86	2	no	—
843	C₂²×C₄	—	86	2	no	—
844	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
845	Q₁₆	—	86	4	no	—
846	Q₁₆	—	86	4	no	—
847	SD₁₆	—	2	4	no	—
848	SD₁₆	—	2	4	no	—
849	SD₁₆	—	86	4	no	—
850	SD₁₆	—	86	4	no	—
851	D₈	—	86	4	no	—
852	D₈	—	86	4	no	—
853	M₁₆	—	2	2	no	—
854	M₁₆	—	86	2	no	—
855	M₁₆	—	86	2	no	—
856	M₁₆	—	86	2	no	—
857	C₂×C₈	—	2	2	no	—
858	C₂×C₈	—	43	1	no	—
859	C₂×C₈	—	43	1	no	—
860	C₂×C₈	—	43	4	no	—
861	C₂×C₈	—	43	4	no	—
862	C₂×C₈	—	43	1	no	—
863	C₂×C₈	—	43	1	no	—
864	C₂×C₈	—	86	2	no	—
865	C₂×C₈	—	86	2	no	—
866	C₂×C₈	—	86	2	no	—
867	C₂×C₈	—	86	2	no	—
868	C₂×C₈	—	86	2	no	—
869	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
870	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
871	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
872	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	43	2	no	—
879	C₄⋊C₄	—	43	2	no	—
880	C₄⋊C₄	—	43	2	no	—
881	C₄⋊C₄	—	43	2	no	—
882	C₄⋊C₄	—	43	2	no	—
883	C₄⋊C₄	—	86	2	no	—
884	C₄⋊C₄	—	86	2	no	—
885	C₄⋊C₄	—	86	2	no	—
886	C₄⋊C₄	—	86	2	no	—
887	C₄⋊C₄	—	86	2	no	—
888	C₄⋊C₄	—	86	2	no	—
889	C₄⋊C₄	—	86	2	no	—
890	C₄⋊C₄	—	86	2	no	—
891	C₄⋊C₄	—	86	2	no	—
892	C₄⋊C₄	—	86	2	no	—
893	C₄⋊C₄	—	86	2	no	—
894	C₄⋊C₄	D₄×D₄₃	1	2	yes	—
895	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
896	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	43	2	no	—
901	C₂²⋊C₄	—	43	2	no	—
902	C₂²⋊C₄	—	43	2	no	—
903	C₂²⋊C₄	—	86	2	no	—
904	C₂²⋊C₄	—	86	2	no	—
905	C₂²⋊C₄	—	86	2	no	—
906	C₂²⋊C₄	—	86	2	no	—
907	C₂²⋊C₄	—	86	2	no	—
908	C₂²⋊C₄	—	86	2	no	—
909	C₂²⋊C₄	—	86	2	no	—
910	C₂²⋊C₄	—	86	2	no	—
911	C₂²⋊C₄	—	86	2	no	—
912	C₂²⋊C₄	—	86	2	no	—
913	C₂²⋊C₄	—	86	2	no	—
914	C₂²⋊C₄	—	86	2	no	—
915	C₂²⋊C₄	—	86	2	no	—
916	C₂²⋊C₄	—	86	2	no	—
917	C₂²⋊C₄	—	86	2	no	—
918	C₂²⋊C₄	D₄×D₄₃	1	2	yes	—
919	C₄²	—	2	2	no	—
920	C₄²	—	43	2	no	—
921	C₄²	—	43	2	no	—
922	C₄²	—	43	1	no	—
923	C₄²	—	43	1	no	—
924	C₄²	—	86	2	no	—
925	C₄²	—	86	2	no	—
926	C₄²	—	86	2	no	—
927	C₄²	—	86	2	no	—
928	C₄²	—	86	2	no	—
929	C₄²	C₂³×D₄₃	1	1	yes	characteristic
930	C₄²	C₂³×D₄₃	1	1	yes	characteristic
931	C₂³	—	2	2	no	—
932	C₂³	—	43	1	no	—
933	C₂³	—	43	1	no	—
934	C₂³	—	86	2	no	—
935	C₂³	—	86	2	no	—
936	C₂³	—	172	2	no	—
937	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
938	Q₈	—	2	2	no	—
939	Q₈	—	2	2	no	—
940	Q₈	—	86	2	no	—
941	Q₈	—	86	2	no	—
942	Q₈	—	344	2	no	—
943	Q₈	—	344	2	no	—
944	D₄	—	2	2	no	—
945	D₄	—	2	2	no	—
946	D₄	—	8	2	no	—
947	D₄	—	8	2	no	—
948	D₄	—	86	2	no	—
949	D₄	—	86	2	no	—
950	D₄	—	344	2	no	—
951	D₄	—	344	2	no	—
952	D₄	—	344	2	no	—
953	D₄	—	344	2	no	—
954	D₄	—	172	4	no	—
955	D₄	—	172	4	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	2	no	—
960	C₂×C₄	—	2	2	no	—
961	C₂×C₄	—	8	2	no	—
962	C₂×C₄	—	43	1	no	—
963	C₂×C₄	—	43	2	no	—
964	C₂×C₄	—	43	2	no	—
965	C₂×C₄	—	43	2	no	—
966	C₂×C₄	—	43	2	no	—
967	C₂×C₄	—	43	1	no	—
968	C₂×C₄	—	86	2	no	—
969	C₂×C₄	—	86	2	no	—
970	C₂×C₄	—	86	2	no	—
971	C₂×C₄	—	86	1	no	—
972	C₂×C₄	—	86	1	no	—
973	C₂×C₄	—	86	2	no	—
974	C₂×C₄	—	86	2	no	—
975	C₂×C₄	—	86	2	no	—
976	C₂×C₄	—	344	2	no	—
977	C₂×C₄	—	344	2	no	—
978	C₂×C₄	—	344	2	no	—
979	C₂×C₄	—	172	2	no	—
980	C₂×C₄	—	172	2	no	—
981	C₂×C₄	—	172	4	no	—
982	C₂×C₄	—	172	4	no	—
983	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
984	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
985	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
986	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
987	C₈	—	2	1	no	—
988	C₈	—	2	1	no	—
989	C₈	—	43	2	no	—
990	C₈	—	43	2	no	—
991	C₈	—	86	1	no	—
992	C₈	—	86	1	no	—
993	C₈	#41×D₄₃	1	2	yes	—
994	C₈	#41×D₄₃	1	2	yes	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	1	no	—
997	C₂²	—	4	2	no	—
998	C₂²	—	4	2	no	—
999	C₂²	—	4	2	no	—
1000	C₂²	—	43	2	no	—
1001	C₂²	—	86	2	no	—
1002	C₂²	—	86	2	no	—
1003	C₂²	—	86	1	no	—
1004	C₂²	—	172	4	no	—
1005	C₂²	—	172	2	no	—
1006	C₂²	—	172	2	no	—
1007	C₂²	—	172	2	no	—
1008	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1009	C₄	—	2	2	no	—
1010	C₄	—	2	2	no	—
1011	C₄	—	2	1	no	—
1012	C₄	—	4	2	no	—
1013	C₄	—	4	2	no	—
1014	C₄	—	4	2	no	—
1015	C₄	—	43	2	no	—
1016	C₄	—	86	2	no	—
1017	C₄	—	86	2	no	—
1018	C₄	—	86	1	no	—
1019	C₄	—	172	2	no	—
1020	C₄	—	172	2	no	—
1021	C₄	—	172	2	no	—
1022	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1023	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1024	C₂	—	4	1	no	—
1025	C₂	—	8	2	no	—
1026	C₂	—	86	2	no	—
1027	C₂	—	344	2	no	—
1028	C₂	—	172	1	no	—
1029	C₂	#532×D₄₃	1	1	yes	characteristic
1030	C₂	#19149367	1	2	yes	—

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3174	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3174	D₄₃
hypocenter	C₄₃	#60682
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3174

Complements

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

N	H ≅ G/N	type
1. #19147986	C₂	semidirect
2. #19147979	C₂	semidirect
3. #19145253	C₂	semidirect
4. #19145248	C₂	semidirect
5. #19145244	C₂	semidirect
6. #19145239	C₂	semidirect
7. #19145232	C₂	semidirect
8. #19145229	C₂	semidirect
9. #19145225	C₂	semidirect
10. #19145223	C₂	semidirect
11. #19145220	C₂	semidirect
12. #19145208	C₂	semidirect
13. #19145205	C₂	semidirect
14. #19145108	C₂	semidirect
15. #19145018	C₂	semidirect
16. #19144942	C₂	semidirect
17. #19144939	C₂	semidirect
18. #19144199	C₂	semidirect
19. #19144171	C₂	semidirect
20. #19143390	C₂	semidirect
21. C₄×#13063346	C₂	semidirect
22. #405×D₄₃	C₂	semidirect
23. C₄₃×#3174	C₂	semidirect
55. #14583303	C₂²	semidirect
56. #14583301	C₂²	semidirect
57. #14583298	C₂²	semidirect
58. #14583298	C₂²	semidirect
59. #14583296	C₂²	semidirect
60. #14583280	C₂²	semidirect
61. #14583280	C₂²	semidirect
62. #14583278	C₂²	semidirect
63. #14583275	C₂²	semidirect
64. #14583272	C₂²	semidirect
65. #14583269	C₂²	semidirect
66. #14583268	C₂²	semidirect
67. #14583267	C₂²	semidirect
68. #14583265	C₂²	semidirect
69. #14583264	C₂²	semidirect
70. #14583263	C₂²	semidirect
71. #14583260	C₂²	semidirect
72. #14583260	C₂²	semidirect
73. #14583257	C₂²	semidirect
74. #14583257	C₂²	semidirect
89. #14583009	C₂²	semidirect
90. #14583008	C₂²	semidirect
91. #14583004	C₂²	semidirect
92. #14583003	C₂²	semidirect
93. #14583001	C₂²	semidirect
94. #14583000	C₂²	semidirect
95. #14582998	C₂²	semidirect
96. C₄×#10621885	C₂²	semidirect
97. #14582991	C₂²	semidirect
98. C₄×#10621873	C₂²	semidirect
99. SD₁₆×Dic₄₃	C₂²	semidirect
100. #14582986	C₂²	semidirect
101. C₄×#10621882	C₂²	semidirect
102. #14582979	C₂²	semidirect
122. C₄₃×#499	C₂²	semidirect
123. C₄₃×#492	C₂²	semidirect
124. C₄₃×#491	C₂²	semidirect
125. C₄₃×#490	C₂²	semidirect
128. C₄₃×#440	C₂²	semidirect
129. C₄×SD₁₆×C₄₃	C₂²	semidirect
520. #3174	D₄₃	semidirect
576. #499	C₂×D₄₃	semidirect
583. #492	C₂×D₄₃	semidirect
587. #491	C₂×D₄₃	semidirect
591. #490	C₂×D₄₃	semidirect
619. #440	C₂×D₄₃	semidirect
625. C₄×SD₁₆	C₂×D₄₃	semidirect
646. C₄₃	#60682	semidirect

Maximal subgroups

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

subgroup	index
#19147986	2
#19147979	2
#19145253	2
#19145248	2
#19145244	2
#19145239	2
#19145232	2
#19145229	2
#19145225	2
#19145223	2
#19145220	2
#19145208	2
#19145205	2
#19145108	2
#19145018	2
#19144942	2
#19144939	2
#19144199	2
#19144171	2
#19143390	2
C₄×#13063346	2
#405×D₄₃	2
C₄₃×#3174	2
#60682	43