Subgroups — #25975359

Order 11008.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1132 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148162	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148159	C₂	1	1	yes	maximal, characteristic, complemented
3	#19147224	C₂	1	1	yes	maximal, characteristic, complemented
4	#19147218	C₂	1	1	yes	maximal, characteristic, complemented
5	#19147213	C₂	1	1	yes	maximal, characteristic, complemented
6	#19147207	C₂	1	1	yes	maximal, characteristic, complemented
7	#19147198	C₂	1	2	yes	maximal, complemented
8	#19147193	C₂	1	1	yes	maximal, characteristic, complemented
9	#19147187	C₂	1	1	yes	maximal, characteristic, complemented
10	#19147182	C₂	1	1	yes	maximal, characteristic, complemented
11	#19147176	C₂	1	1	yes	maximal, characteristic, complemented
12	#19147167	C₂	1	2	yes	maximal, complemented
13	#19147162	C₂	1	2	yes	maximal, complemented
14	#19147152	C₂	1	2	yes	maximal, complemented
15	#19145105	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144512	C₂	1	2	yes	maximal, complemented
17	#19144506	C₂	1	2	yes	maximal, complemented
18	#19144385	C₂	1	1	yes	maximal, characteristic, complemented
19	#19144203	C₂	1	2	yes	maximal, complemented
20	C₄×#13063345	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#14582976	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143183	C₂	1	2	yes	maximal, complemented
23	C₄₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063345	C₂²	1	1	yes	characteristic
25	C₂²×#10621872	C₂²	1	2	yes	—
26	#14583623	C₂²	1	1	yes	characteristic
27	#14583622	C₂²	1	1	yes	characteristic
28	#14583615	C₂²	1	1	yes	characteristic
29	#14583614	C₂²	1	1	yes	characteristic
30	#14583610	C₂²	1	1	yes	characteristic
31	#14583609	C₂²	1	1	yes	characteristic
32	#14583602	C₂²	1	2	yes	—
33	#14583599	C₂²	1	2	yes	—
34	#14583591	—	2	1	no	—
35	#14583590	C₂²	1	2	yes	—
36	#14583589	—	2	1	no	—
37	#14583587	C₂²	1	2	yes	—
38	#14583578	—	2	2	no	—
39	#14583576	—	2	2	no	—
40	#14583554	C₂²	1	1	yes	characteristic
41	#14583552	C₂²	1	1	yes	characteristic
42	#14583545	—	2	1	no	—
43	#14583540	—	2	1	no	—
44	#14583456	C₂²	1	1	yes	characteristic
45	#14583436	—	2	1	no	—
46	#14583436	—	2	2	no	—
47	#14583433	—	2	1	no	—
48	#14583427	—	2	2	no	—
49	#14583411	C₂²	1	2	yes	—
50	#14583406	C₂²	1	2	yes	—
51	C₄×#10621902	—	2	1	no	—
52	C₄×#10621898	—	2	1	no	—
53	C₄×#10621898	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
55	#117×D₄₃	C₂²	1	2	yes	—
56	#117×D₄₃	C₂²	1	2	yes	—
57	#14583302	C₂²	1	1	yes	characteristic, complemented
58	#14583302	C₂²	1	1	yes	characteristic, complemented
59	#14583298	C₂²	1	2	yes	complemented
60	#14583298	C₂²	1	2	yes	complemented
61	#14583295	C₂²	1	1	yes	characteristic, complemented
62	#14583295	C₂²	1	1	yes	characteristic, complemented
63	#14583243	C₂²	1	2	yes	complemented
64	#14583242	C₂²	1	2	yes	complemented
65	#14583239	C₂²	1	2	yes	complemented
66	#14583238	C₂²	1	2	yes	complemented
67	#14583236	C₂²	1	2	yes	complemented
68	#14583233	C₂²	1	2	yes	complemented
69	#14583231	C₂²	1	2	yes	complemented
70	#14583228	C₂²	1	2	yes	complemented
71	#14583226	C₂²	1	2	yes	complemented
72	#14583225	C₂²	1	2	yes	complemented
73	#14583222	C₂²	1	2	yes	complemented
74	#14583221	C₂²	1	2	yes	complemented
75	#14583219	C₂²	1	2	yes	complemented
76	#14583216	C₂²	1	2	yes	complemented
77	#14583214	C₂²	1	2	yes	complemented
78	#14583211	C₂²	1	2	yes	complemented
79	#14583207	C₂²	1	2	yes	complemented
80	#14583200	C₂²	1	2	yes	complemented
81	#14583195	C₂²	1	1	yes	characteristic, complemented
82	#14583190	C₂²	1	1	yes	characteristic, complemented
83	#14583185	C₂²	1	1	yes	characteristic, complemented
84	#14583180	C₂²	1	1	yes	characteristic, complemented
85	#14583156	C₂²	1	2	yes	complemented
86	#14583156	C₂²	1	2	yes	complemented
87	#14583151	C₂²	1	2	yes	complemented
88	#14583151	C₂²	1	2	yes	complemented
89	#14583148	C₂²	1	2	yes	complemented
90	#14583148	C₂²	1	2	yes	complemented
91	#14583144	C₂²	1	2	yes	complemented
92	#14583144	C₂²	1	2	yes	complemented
93	C₄×#10621885	C₂²	1	1	yes	characteristic, complemented
94	C₄×#10621885	C₂²	1	1	yes	characteristic, complemented
95	C₄×#10621884	C₂²	1	1	yes	characteristic, complemented
96	C₄×#10621884	C₂²	1	1	yes	characteristic, complemented
97	C₄×#10621883	C₂²	1	1	yes	characteristic, complemented
98	C₄×#10621883	C₂²	1	1	yes	characteristic, complemented
99	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
100	C₄×#10621882	C₂²	1	1	yes	characteristic, complemented
101	#14582976	C₂²	1	2	yes	—
102	#14582976	C₂²	1	2	yes	—
103	#14582976	C₂²	1	1	yes	characteristic
104	#14582976	C₂²	1	1	yes	characteristic
105	#14582976	C₂²	1	1	yes	characteristic
106	#14582976	C₂²	1	1	yes	characteristic
107	#14582940	C₂²	1	2	yes	complemented
108	#14582940	C₂²	1	2	yes	complemented
109	#14582940	C₂²	1	2	yes	complemented
110	#14582940	C₂²	1	2	yes	complemented
111	#14582938	C₂²	1	2	yes	complemented
112	#14582938	C₂²	1	2	yes	complemented
113	#14582938	C₂²	1	2	yes	complemented
114	#14582938	C₂²	1	2	yes	complemented
115	#14582937	C₂²	1	2	yes	—
116	#14582935	C₂²	1	2	yes	—
117	#14582935	C₂²	1	1	yes	characteristic
118	#14582935	C₂²	1	2	yes	—
119	#14582896	C₂²	1	2	yes	—
120	#14582895	C₂²	1	1	yes	characteristic
121	#14582893	C₂²	1	1	yes	characteristic
122	C₂×(C₂×D₄₃)⋊C₈	C₂²	1	2	yes	—
123	C₂×C₄×C₄₃⋊C₈	C₂²	1	1	yes	characteristic
124	C₄₃×#533	C₂²	1	1	yes	characteristic
125	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
126	C₄₃×#479	C₂²	1	2	yes	complemented
127	C₄₃×#478	C₂²	1	2	yes	complemented
128	C₄₃×#477	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#476	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#475	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#474	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#427	C₂²	1	2	yes	—
133	C₂×C₄⋊C₈×C₄₃	C₂²	1	1	yes	characteristic
134	C₄₃×#416	C₂²	1	2	yes	—
135	C₂×#10621902	—	2	1	no	—
136	C₂×#10621898	—	2	1	no	—
137	C₂×#10621898	C₂³	1	1	yes	characteristic
138	C₂²×D₁₇₂	D₄	1	1	yes	characteristic
139	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
140	#13063345	—	2	4	no	—
141	C₂×#10621885	C₂³	1	1	yes	characteristic
142	C₂×#10621883	C₂³	1	1	yes	characteristic
143	C₂×#10621884	C₂³	1	1	yes	characteristic
144	C₂×#10621882	C₂³	1	1	yes	characteristic
145	C₂×#10621872	—	2	8	no	—
146	C₂×#10621872	C₂³	1	2	yes	—
147	C₂×#10621872	C₂³	1	2	yes	—
148	C₂×#10621872	C₂³	1	2	yes	—
149	C₂×#10621872	C₂³	1	2	yes	—
150	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
151	C₂²×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
152	#13063325	C₂³	1	1	yes	characteristic
153	#13063325	C₂³	1	1	yes	characteristic
154	#13063320	—	2	2	no	—
155	#13063320	—	2	2	no	—
156	#13063320	—	2	2	no	—
157	#13063320	—	2	2	no	—
158	#13063319	—	2	2	no	—
159	#13063318	—	2	2	no	—
160	#13063317	—	2	1	no	—
161	#13063317	C₂³	1	2	yes	—
162	#13063316	—	2	2	no	—
163	#13063316	—	2	1	no	—
164	#13063315	—	2	2	no	—
165	#13063314	—	2	1	no	—
166	#13063314	—	2	2	no	—
167	#13063313	—	2	1	no	—
168	#13063311	—	2	2	no	—
169	#13063310	—	2	2	no	—
170	#13063310	—	2	2	no	—
171	#13063310	—	2	2	no	—
172	#13063310	—	2	2	no	—
173	#13063309	—	2	2	no	—
174	#13063308	—	2	2	no	—
175	#13063307	—	2	2	no	—
176	#13063306	—	2	2	no	—
177	#13063305	C₂³	1	2	yes	—
178	#13063305	C₂³	1	2	yes	—
179	#13063304	—	2	1	no	—
180	#13063304	—	2	1	no	—
181	#13063304	—	2	1	no	—
182	#13063303	—	2	2	no	—
183	#13063301	—	2	2	no	—
184	#13063301	—	2	1	no	—
185	#13063301	C₂³	1	2	yes	—
186	#13063301	C₂³	1	2	yes	—
187	#13063300	—	2	2	no	—
188	#13063300	—	2	1	no	—
189	#13063300	C₂³	1	2	yes	—
190	#13063300	C₂³	1	2	yes	—
191	#13063299	—	2	1	no	—
192	#13063298	—	2	2	no	—
193	#13063296	C₂³	1	2	yes	—
194	#13063296	C₂³	1	2	yes	—
195	#13063295	—	2	2	no	—
196	#13063293	—	2	2	no	—
197	Q₈×Dic₄₃	—	2	1	no	—
198	C₄×Dic₈₆	—	2	1	no	—
199	C₄×Dic₈₆	—	2	1	no	—
200	C₄×Dic₈₆	—	2	1	no	—
201	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
202	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
203	C₄×D₁₇₂	—	2	1	no	—
204	C₄×D₁₇₂	—	2	2	no	—
205	C₄×D₁₇₂	—	2	2	no	—
206	C₄×D₁₇₂	D₄	1	1	yes	characteristic
207	C₄×D₁₇₂	D₄	1	1	yes	characteristic
208	C₄×D₁₇₂	D₄	1	2	yes	—
209	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
210	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
211	C₄×D₁₇₂	C₂³	1	2	yes	—
212	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
213	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
214	#13063287	—	2	1	no	—
215	#13063287	—	2	2	no	—
216	C₄×C₂²⋊D₄₃	—	2	1	no	—
217	C₄×C₂²⋊D₄₃	—	2	1	no	—
218	C₄×C₂²⋊D₄₃	—	2	2	no	—
219	C₄×C₂²⋊D₄₃	—	2	2	no	—
220	C₄×C₂²⋊D₄₃	—	2	2	no	—
221	#13063284	—	2	1	no	—
222	#13063284	C₂³	1	1	yes	characteristic
223	#13063284	C₂³	1	2	yes	—
224	#13063283	—	2	2	no	—
225	#13063283	—	2	1	no	—
226	#13063283	C₂³	1	2	yes	—
227	#13063283	C₂³	1	2	yes	—
228	#13063283	C₂³	1	2	yes	—
229	#13063283	C₂³	1	2	yes	—
230	#13063282	—	2	2	no	—
231	#13063282	—	2	2	no	—
232	#13063282	—	2	1	no	—
233	#13063282	—	2	2	no	—
234	#13063281	—	2	2	no	—
235	#13063281	—	2	2	no	—
236	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
237	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
238	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
239	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
240	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
241	C₂×(C₂×D₄₃)⋊C₄	D₄	1	2	yes	—
242	C₂²⋊C₄×D₄₃	—	2	2	no	—
243	C₂²⋊C₄×D₄₃	—	2	2	no	—
244	C₄²×D₄₃	—	2	2	no	—
245	C₄²×D₄₃	—	2	2	no	—
246	C₄²×D₄₃	—	2	1	no	—
247	#13063259	C₂³	1	2	yes	—
248	#13063259	C₂³	1	2	yes	—
249	#13063258	C₂³	1	2	yes	—
250	#13063258	C₂³	1	2	yes	—
251	#13063258	C₂³	1	2	yes	—
252	#13063258	C₂³	1	2	yes	—
253	#13063258	C₂³	1	1	yes	characteristic
254	#13063258	C₂³	1	1	yes	characteristic
255	#13063257	C₂³	1	2	yes	—
256	#13063257	C₂³	1	2	yes	—
257	#13063256	C₂³	1	2	yes	—
258	#13063256	C₂³	1	2	yes	—
259	#13063256	C₂³	1	2	yes	—
260	#13063256	C₂³	1	2	yes	—
261	#13063256	C₂³	1	1	yes	characteristic
262	#13063256	C₂³	1	1	yes	characteristic
263	#13063250	C₂³	1	2	yes	—
264	#13063250	C₂³	1	2	yes	—
265	#13063249	C₂³	1	1	yes	characteristic
266	#13063249	C₂³	1	1	yes	characteristic
267	#13063248	C₂³	1	1	yes	characteristic
268	#13063248	C₂³	1	1	yes	characteristic
269	#13063247	C₂³	1	2	yes	—
270	#13063247	C₂³	1	2	yes	—
271	#13063246	C₂³	1	1	yes	characteristic
272	#13063246	C₂³	1	1	yes	characteristic
273	#13063245	C₂³	1	1	yes	characteristic
274	#13063245	C₂³	1	1	yes	characteristic
275	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
276	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
277	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
278	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
279	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
280	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
281	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
282	C₄×C₄₃⋊C₈	C₂³	1	1	yes	characteristic
283	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
284	C₂²×C₈×C₄₃	C₂³	1	2	yes	—
285	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
286	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
287	#125×C₄₃	C₂³	1	2	yes	—
288	C₂²⋊Q₈×C₄₃	—	2	1	no	—
289	C₂²⋊Q₈×C₄₃	—	2	1	no	—
290	C₄×Q₈×C₄₃	—	2	1	no	—
291	C₄×Q₈×C₄₃	—	2	1	no	—
292	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
293	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₃	—	2	1	no	—
295	C₄×D₄×C₄₃	—	2	1	no	—
296	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
297	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
298	#117×C₄₃	—	2	1	no	—
299	#117×C₄₃	C₂³	1	1	yes	characteristic
300	#117×C₄₃	C₂³	1	2	yes	—
301	C₂×C₄²×C₄₃	—	2	1	no	—
302	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
303	#107×C₄₃	C₂³	1	2	yes	—
304	#107×C₄₃	C₂³	1	2	yes	—
305	#106×C₄₃	C₂³	1	2	yes	—
306	#106×C₄₃	C₂³	1	2	yes	—
307	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
308	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
309	C₄⋊C₈×C₄₃	C₂³	1	2	yes	—
310	#103×C₄₃	C₂³	1	2	yes	—
311	#103×C₄₃	C₂³	1	2	yes	—
312	#102×C₄₃	C₂³	1	2	yes	—
313	#102×C₄₃	C₂³	1	2	yes	—
314	C₂³×D₄₃	C₂×D₄	1	2	yes	—
315	#41×C₄₃	—	2	2	no	—
316	#41×C₄₃	—	2	2	no	—
317	C₂×Q₈×C₄₃	—	2	1	no	—
318	C₂×Q₈×C₄₃	—	2	1	no	—
319	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
320	C₂×D₄×C₄₃	—	2	1	no	—
321	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₄₃	—	2	1	no	—
323	C₂²×C₄×C₄₃	—	2	1	no	—
324	C₂²×C₄×C₄₃	—	2	1	no	—
325	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂×C₂²⋊D₄₃	—	2	1	no	—
329	C₂×C₂²⋊D₄₃	—	2	2	no	—
330	C₂×C₂²⋊D₄₃	—	2	2	no	—
331	C₂²×Dic₄₃	C₂×D₄	1	2	yes	—
332	#10621902	—	4	4	no	—
333	#10621898	—	2	2	no	—
334	#10621898	—	2	2	no	—
335	#10621898	—	4	4	no	—
336	C₂×D₁₇₂	—	2	2	no	—
337	C₂×D₁₇₂	—	2	2	no	—
338	C₂×D₁₇₂	—	4	2	no	—
339	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
340	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
341	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
342	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
343	C₂×C₄×D₄₃	—	2	4	no	—
344	C₂×C₄×D₄₃	—	2	4	no	—
345	C₂×C₄×D₄₃	—	2	1	no	—
346	C₂×C₄×D₄₃	—	2	1	no	—
347	C₂×C₄×D₄₃	—	2	1	no	—
348	C₂×C₄×D₄₃	—	2	2	no	—
349	C₂×C₄×D₄₃	—	2	2	no	—
350	C₂×C₄×D₄₃	—	2	2	no	—
351	C₂×C₄×D₄₃	—	2	2	no	—
352	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
353	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
354	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
355	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
356	C₂×Dic₈₆	—	2	1	no	—
357	C₂×Dic₈₆	—	2	1	no	—
358	C₂×Dic₈₆	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₄₃	—	2	4	no	—
360	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
361	C₂×C₈×C₄₃	C₂⁴	1	2	yes	—
362	C₄⋊C₄×C₄₃	—	2	1	no	—
363	C₄⋊C₄×C₄₃	—	2	1	no	—
364	C₄⋊C₄×C₄₃	—	2	2	no	—
365	C₄⋊C₄×C₄₃	—	2	2	no	—
366	C₄⋊C₄×C₄₃	—	2	1	no	—
367	C₄⋊C₄×C₄₃	—	2	1	no	—
368	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
369	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
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	2	no	—
376	C₄²×C₄₃	—	2	1	no	—
377	C₄²×C₄₃	—	2	1	no	—
378	C₄²×C₄₃	—	2	1	no	—
379	C₄²×C₄₃	—	2	2	no	—
380	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
381	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
382	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
383	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂²⋊Dic₄₃	—	2	2	no	—
385	C₂²⋊Dic₄₃	—	2	2	no	—
386	C₂²⋊Dic₄₃	—	2	1	no	—
387	C₂²⋊Dic₄₃	—	2	2	no	—
388	#10621885	—	2	2	no	—
389	#10621884	—	2	2	no	—
390	#10621883	—	2	2	no	—
391	#10621882	—	2	2	no	—
392	(C₂×D₄₃)⋊C₄	—	2	1	no	—
393	(C₂×D₄₃)⋊C₄	—	2	1	no	—
394	(C₂×D₄₃)⋊C₄	—	2	2	no	—
395	(C₂×D₄₃)⋊C₄	—	2	2	no	—
396	(C₂×D₄₃)⋊C₄	—	2	2	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	—	2	2	no	—
403	(C₂×D₄₃)⋊C₄	—	2	2	no	—
404	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
405	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
406	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
407	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
408	C₄⋊Dic₄₃	—	2	1	no	—
409	C₄⋊Dic₄₃	—	2	1	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	C₂×D₄	1	2	yes	—
415	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
416	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
417	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
418	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
419	Dic₄₃⋊C₄	—	2	2	no	—
420	Dic₄₃⋊C₄	—	2	1	no	—
421	Dic₄₃⋊C₄	—	2	1	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	—	2	2	no	—
429	C₄×Dic₄₃	—	2	1	no	—
430	C₄×Dic₄₃	—	2	2	no	—
431	C₄×Dic₄₃	—	2	1	no	—
432	C₄×Dic₄₃	—	2	1	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	C₂×C₄₃⋊C₈	—	2	2	no	—
438	C₂×C₄₃⋊C₈	#41	1	4	yes	complemented
439	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
440	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
441	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
442	C₂×C₄₃⋊C₈	C₂⁴	1	1	yes	characteristic
443	#10621872	—	2	4	no	—
444	#10621872	—	2	4	no	—
445	#10621872	—	2	4	no	—
446	#10621872	—	2	4	no	—
447	C₂³×C₄₃	—	2	1	no	—
448	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
449	C₂²×D₄₃	—	2	4	no	—
450	C₂²×D₄₃	—	2	1	no	—
451	C₂²×D₄₃	—	4	2	no	—
452	C₂²×D₄₃	—	4	2	no	—
453	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
454	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
455	Q₈×C₄₃	—	2	1	no	—
456	Q₈×C₄₃	—	2	1	no	—
457	Q₈×C₄₃	—	4	2	no	—
458	Q₈×C₄₃	—	8	1	no	—
459	D₄×C₄₃	—	2	1	no	—
460	D₄×C₄₃	—	2	1	no	—
461	D₄×C₄₃	—	4	2	no	—
462	C₂×C₄×C₄₃	—	2	2	no	—
463	C₂×C₄×C₄₃	—	2	1	no	—
464	C₂×C₄×C₄₃	—	2	1	no	—
465	C₂×C₄×C₄₃	—	2	2	no	—
466	C₂×C₄×C₄₃	—	2	2	no	—
467	C₂×C₄×C₄₃	—	2	1	no	—
468	C₂×C₄×C₄₃	—	4	1	no	—
469	C₂×C₄×C₄₃	—	4	2	no	—
470	C₂×C₄×C₄₃	—	4	2	no	—
471	C₂×C₄×C₄₃	—	8	1	no	—
472	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
473	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
474	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
476	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
478	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
479	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
480	C₂²⋊D₄₃	—	4	4	no	—
481	C₂²⋊D₄₃	—	4	2	no	—
482	C₂²⋊D₄₃	—	8	2	no	—
483	C₂×Dic₄₃	—	2	4	no	—
484	C₂×Dic₄₃	—	2	1	no	—
485	C₂×Dic₄₃	—	2	1	no	—
486	C₂×Dic₄₃	—	2	2	no	—
487	C₂×Dic₄₃	—	2	2	no	—
488	C₂×Dic₄₃	—	2	1	no	—
489	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
490	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
491	D₁₇₂	—	2	2	no	—
492	D₁₇₂	—	2	2	no	—
493	D₁₇₂	—	2	1	no	—
494	D₁₇₂	—	2	1	no	—
495	D₁₇₂	—	4	2	no	—
496	D₁₇₂	—	4	4	no	—
497	D₁₇₂	—	8	2	no	—
498	C₄×D₄₃	—	2	4	no	—
499	C₄×D₄₃	—	2	4	no	—
500	C₄×D₄₃	—	2	2	no	—
501	C₄×D₄₃	—	2	2	no	—
502	C₄×D₄₃	—	2	2	no	—
503	C₄×D₄₃	—	2	2	no	—
504	C₄×D₄₃	—	4	4	no	—
505	C₄×D₄₃	—	4	4	no	—
506	C₄×D₄₃	—	4	2	no	—
507	C₄×D₄₃	—	4	2	no	—
508	C₄×D₄₃	—	8	1	no	—
509	C₄×D₄₃	—	8	2	no	—
510	C₄×D₄₃	—	8	2	no	—
511	Dic₈₆	—	2	1	no	—
512	Dic₈₆	—	2	1	no	—
513	Dic₈₆	—	4	2	no	—
514	Dic₈₆	—	8	1	no	—
515	C₈×C₄₃	—	2	2	no	—
516	C₈×C₄₃	—	2	2	no	—
517	C₄₃⋊C₈	—	2	1	no	—
518	C₄₃⋊C₈	—	2	1	no	—
519	C₄₃⋊C₈	C₂×#41	1	2	yes	—
520	C₄₃⋊C₈	C₂×#41	1	2	yes	—
521	#61251	—	43	1	no	maximal, Sylow
522	C₂²×C₄₃	—	2	1	no	—
523	C₂²×C₄₃	—	2	1	no	—
524	C₂²×C₄₃	—	4	1	no	—
525	C₂²×C₄₃	—	4	1	no	—
526	C₂²×C₄₃	—	4	1	no	—
527	C₂²×C₄₃	#547	1	2	yes	—
528	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
529	C₂×D₄₃	—	2	2	no	—
530	C₂×D₄₃	—	2	2	no	—
531	C₂×D₄₃	—	2	2	no	—
532	C₂×D₄₃	—	2	2	no	—
533	C₂×D₄₃	—	2	2	no	—
534	C₂×D₄₃	—	2	2	no	—
535	C₂×D₄₃	—	4	1	no	—
536	C₂×D₄₃	—	4	1	no	—
537	C₂×D₄₃	—	4	1	no	—
538	C₂×D₄₃	—	8	4	no	—
539	C₄×C₄₃	—	2	1	no	—
540	C₄×C₄₃	—	2	1	no	—
541	C₄×C₄₃	—	2	1	no	—
542	C₄×C₄₃	—	4	1	no	—
543	C₄×C₄₃	—	4	2	no	—
544	C₄×C₄₃	—	4	1	no	—
545	C₄×C₄₃	—	4	1	no	—
546	C₄×C₄₃	—	4	2	no	—
547	C₄×C₄₃	#547	1	2	yes	—
548	C₄×C₄₃	#575	1	2	yes	—
549	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
550	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
551	Dic₄₃	—	2	2	no	—
552	Dic₄₃	—	2	2	no	—
553	Dic₄₃	—	4	2	no	—
554	Dic₄₃	—	4	1	no	—
555	Dic₄₃	—	4	1	no	—
556	Dic₄₃	—	4	2	no	—
557	Dic₄₃	—	4	1	no	—
558	#3475	—	43	1	no	—
559	#3475	—	43	1	no	—
560	#3357	—	43	1	no	—
561	#3357	—	43	1	no	—
562	#3356	—	43	1	no	—
563	#3356	—	43	1	no	—
564	#3355	—	43	2	no	—
565	#3354	—	43	1	no	—
566	#3354	—	43	1	no	—
567	#3353	—	43	1	no	—
568	#3353	—	43	1	no	—
569	#3352	—	43	2	no	—
570	#3351	—	43	2	no	—
571	#3351	—	43	2	no	—
572	#3160	—	43	1	no	—
573	#3091	—	43	2	no	—
574	#3091	—	43	2	no	—
575	#3076	—	43	1	no	—
576	#3076	D₄₃	1	1	yes	characteristic, complemented
577	#3054	—	43	2	no	—
578	C₄×#135	—	43	1	no	—
579	C₂×#436	—	43	1	no	—
580	#2911	—	43	2	no	—
581	C₂×C₄₃	—	2	2	no	—
582	C₂×C₄₃	—	8	1	no	—
583	C₂×C₄₃	C₂×#547	1	1	yes	characteristic
584	C₂×C₄₃	C₂×#575	1	1	yes	characteristic
585	C₂×C₄₃	#3584	1	1	yes	characteristic
586	D₄₃	—	4	2	no	—
587	D₄₃	—	4	2	no	—
588	D₄₃	—	8	1	no	—
589	C₂×#135	—	43	1	no	—
590	C₂²×M₁₆	—	43	2	no	—
591	#556	—	43	1	no	—
592	#556	—	43	1	no	—
593	#555	—	43	1	no	—
594	#555	—	43	1	no	—
595	#554	—	43	1	no	—
596	#554	—	43	1	no	—
597	#553	—	43	2	no	—
598	#553	—	43	2	no	—
599	#552	—	43	2	no	—
600	#552	—	43	2	no	—
601	#552	—	86	1	no	—
602	#552	—	86	1	no	—
603	#551	—	86	2	no	—
604	#551	—	86	2	no	—
605	#547	—	43	1	no	—
606	#547	—	43	1	no	—
607	#546	—	86	1	no	—
608	#546	—	86	1	no	—
609	#533	—	43	1	no	—
610	#533	C₂×D₄₃	1	1	yes	characteristic
611	#529	—	86	1	no	—
612	#529	—	86	2	no	—
613	#529	—	86	2	no	—
614	#529	—	86	1	no	—
615	#525	—	43	2	no	—
616	#525	—	43	2	no	—
617	C₄×#41	—	43	1	no	—
618	C₄×#41	—	86	1	no	—
619	C₄×#41	—	86	1	no	—
620	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
621	C₂×C₄×D₄	—	43	1	no	—
622	C₂×#117	—	43	2	no	—
623	C₂×#117	—	43	2	no	—
624	#500	—	43	1	no	—
625	#500	—	43	1	no	—
626	#499	—	43	2	no	—
627	#499	—	43	2	no	—
628	#498	—	43	1	no	—
629	#498	—	43	1	no	—
630	#485	—	43	2	no	—
631	#485	—	43	2	no	—
632	#485	—	43	2	no	—
633	#485	—	43	2	no	—
634	#484	—	43	2	no	—
635	#484	—	43	2	no	—
636	#483	—	43	2	no	—
637	#483	—	43	2	no	—
638	#482	—	43	2	no	—
639	#482	—	43	2	no	—
640	#482	—	43	2	no	—
641	#482	—	43	2	no	—
642	#481	—	43	2	no	—
643	#481	—	43	2	no	—
644	#480	—	43	2	no	—
645	#480	—	43	2	no	—
646	#479	—	43	2	no	—
647	#479	C₂×D₄₃	1	2	yes	complemented
648	#478	—	43	2	no	—
649	#478	C₂×D₄₃	1	2	yes	complemented
650	#477	—	43	1	no	—
651	#477	C₂×D₄₃	1	1	yes	characteristic, complemented
652	#476	—	43	1	no	—
653	#476	C₂×D₄₃	1	1	yes	characteristic, complemented
654	#475	—	43	1	no	—
655	#475	C₂×D₄₃	1	1	yes	characteristic, complemented
656	#474	—	43	1	no	—
657	#474	C₂×D₄₃	1	1	yes	characteristic, complemented
658	#470	—	43	2	no	—
659	#470	—	43	2	no	—
660	#469	—	43	2	no	—
661	#469	—	43	2	no	—
662	#468	—	43	2	no	—
663	#468	—	43	2	no	—
664	#468	—	43	2	no	—
665	#468	—	43	2	no	—
666	C₄×Q₁₆	—	43	1	no	—
667	C₄×Q₁₆	—	43	1	no	—
668	C₄×SD₁₆	—	43	1	no	—
669	C₄×SD₁₆	—	43	1	no	—
670	C₄×SD₁₆	—	43	1	no	—
671	C₄×SD₁₆	—	43	1	no	—
672	C₄×D₈	—	43	1	no	—
673	C₄×D₈	—	43	1	no	—
674	#436	—	43	2	no	—
675	#436	—	43	2	no	—
676	#436	—	43	1	no	—
677	#436	—	43	1	no	—
678	#436	—	43	1	no	—
679	#436	—	43	1	no	—
680	#428	—	43	2	no	—
681	#428	—	43	2	no	—
682	#428	—	43	2	no	—
683	#428	—	43	2	no	—
684	#428	—	43	2	no	—
685	#428	—	43	2	no	—
686	#428	—	43	2	no	—
687	#428	—	43	2	no	—
688	#427	—	43	2	no	—
689	#427	—	43	2	no	—
690	#427	—	43	2	no	—
691	#427	—	43	1	no	—
692	#427	C₂×D₄₃	1	2	yes	—
693	C₂×C₄⋊C₈	C₂×D₄₃	1	1	yes	characteristic
694	#416	—	43	1	no	—
695	#416	—	43	2	no	—
696	#416	—	43	1	no	—
697	#416	C₂×D₄₃	1	2	yes	—
698	C₂×C₂²⋊C₈	—	43	2	no	—
699	C₂×C₄×C₈	—	43	1	no	—
700	C₄₃	#61251	1	1	yes	characteristic, complemented, Sylow
701	C₂×#41	—	43	1	no	—
702	C₂×#41	—	86	1	no	—
703	C₂×#41	—	86	1	no	—
704	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
705	C₂²×D₄	—	43	1	no	—
706	C₂³×C₄	—	43	2	no	—
707	#135	—	86	4	no	—
708	C₂×Q₁₆	—	43	1	no	—
709	C₂×SD₁₆	—	43	1	no	—
710	C₂×SD₁₆	—	43	1	no	—
711	C₂×D₈	—	43	1	no	—
712	C₂×M₁₆	—	43	2	no	—
713	C₂×M₁₆	—	43	2	no	—
714	C₂×M₁₆	—	43	2	no	—
715	C₂×M₁₆	—	43	2	no	—
716	C₂×M₁₆	—	86	8	no	—
717	C₂²×C₈	—	43	1	no	—
718	C₂²×C₈	—	43	1	no	—
719	C₂²×C₈	C₂²×D₄₃	1	2	yes	—
720	C₄⋊Q₈	—	43	1	no	—
721	C₄⋊Q₈	—	43	1	no	—
722	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
724	#126	—	86	2	no	—
725	#126	—	86	2	no	—
726	#126	—	86	2	no	—
727	#126	—	86	2	no	—
728	#126	—	86	2	no	—
729	#126	—	86	2	no	—
730	#125	—	43	2	no	—
731	#125	—	86	1	no	—
732	#125	—	86	2	no	—
733	#125	—	86	2	no	—
734	#125	—	86	1	no	—
735	#125	C₂²×D₄₃	1	2	yes	—
736	#124	—	86	1	no	—
737	#124	—	86	2	no	—
738	#124	—	86	2	no	—
739	#124	—	86	1	no	—
740	#123	—	86	2	no	—
741	#123	—	86	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	#123	—	86	2	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	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	1	no	—
757	C₂²⋊Q₈	—	86	1	no	—
758	C₂²⋊Q₈	—	86	1	no	—
759	C₂²⋊Q₈	—	86	1	no	—
760	#121	—	43	2	no	—
761	#121	—	43	2	no	—
762	#121	—	43	2	no	—
763	#121	—	43	2	no	—
764	#121	—	86	2	no	—
765	#121	—	86	2	no	—
766	#121	—	86	1	no	—
767	#121	—	86	1	no	—
768	#120	—	86	2	no	—
769	#120	—	86	2	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	43	1	no	—
773	C₄×Q₈	—	43	1	no	—
774	C₄×Q₈	—	86	1	no	—
775	C₄×Q₈	—	86	1	no	—
776	C₄×Q₈	—	86	1	no	—
777	C₄×Q₈	—	86	1	no	—
778	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
779	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	43	1	no	—
783	C₄×D₄	—	43	1	no	—
784	C₄×D₄	—	43	2	no	—
785	C₄×D₄	—	43	1	no	—
786	C₄×D₄	—	43	1	no	—
787	C₄×D₄	—	43	2	no	—
788	C₄×D₄	—	43	1	no	—
789	C₄×D₄	—	43	1	no	—
790	C₄×D₄	—	86	2	no	—
791	C₄×D₄	—	86	2	no	—
792	C₄×D₄	—	86	1	no	—
793	C₄×D₄	—	86	2	no	—
794	C₄×D₄	—	86	2	no	—
795	C₄×D₄	—	86	1	no	—
796	C₄×D₄	—	86	2	no	—
797	C₄×D₄	—	86	2	no	—
798	C₄×D₄	—	86	1	no	—
799	C₄×D₄	—	86	1	no	—
800	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
801	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
802	#117	—	2	1	no	—
803	#117	—	43	1	no	—
804	#117	—	43	2	no	—
805	#117	—	43	2	no	—
806	#117	—	43	2	no	—
807	#117	—	43	2	no	—
808	#117	—	43	2	no	—
809	#117	—	86	2	no	—
810	#117	—	86	2	no	—
811	#117	—	86	2	no	—
812	#117	—	86	2	no	—
813	#117	—	86	2	no	—
814	#117	—	86	2	no	—
815	#117	—	86	1	no	—
816	#117	—	86	1	no	—
817	#117	—	86	1	no	—
818	#117	C₂²×D₄₃	1	1	yes	characteristic
819	#117	C₂²×D₄₃	1	2	yes	—
820	C₂×C₄⋊C₄	—	43	1	no	—
821	C₂×C₄⋊C₄	—	43	2	no	—
822	C₂×C₄⋊C₄	—	43	2	no	—
823	C₂×C₄⋊C₄	—	43	2	no	—
824	C₂×C₄⋊C₄	—	43	2	no	—
825	C₂×C₂²⋊C₄	—	43	2	no	—
826	C₂×C₂²⋊C₄	—	86	2	no	—
827	C₂×C₂²⋊C₄	—	86	2	no	—
828	C₂×C₄²	—	2	1	no	—
829	C₂×C₄²	—	86	2	no	—
830	C₂×C₄²	—	86	2	no	—
831	C₂×C₄²	—	86	1	no	—
832	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
833	#107	—	43	2	no	—
834	#107	—	43	2	no	—
835	#107	—	43	1	no	—
836	#107	—	43	1	no	—
837	#107	—	43	2	no	—
838	#107	—	43	2	no	—
839	#107	—	43	2	no	—
840	#107	—	43	2	no	—
841	#107	C₂²×D₄₃	1	2	yes	—
842	#107	C₂²×D₄₃	1	2	yes	—
843	#106	—	43	2	no	—
844	#106	—	43	2	no	—
845	#106	—	43	1	no	—
846	#106	—	43	1	no	—
847	#106	—	43	2	no	—
848	#106	—	43	2	no	—
849	#106	—	43	2	no	—
850	#106	—	43	2	no	—
851	#106	C₂²×D₄₃	1	2	yes	—
852	#106	C₂²×D₄₃	1	2	yes	—
853	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
854	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
855	C₄⋊C₈	C₂²×D₄₃	1	2	yes	—
856	#103	—	43	1	no	—
857	#103	—	43	1	no	—
858	#103	—	43	2	no	—
859	#103	—	43	2	no	—
860	#103	—	43	1	no	—
861	#103	—	43	1	no	—
862	#103	C₂²×D₄₃	1	2	yes	—
863	#103	C₂²×D₄₃	1	2	yes	—
864	#102	—	43	1	no	—
865	#102	—	43	1	no	—
866	#102	—	43	2	no	—
867	#102	—	43	2	no	—
868	#102	—	43	1	no	—
869	#102	—	43	1	no	—
870	#102	C₂²×D₄₃	1	2	yes	—
871	#102	C₂²×D₄₃	1	2	yes	—
872	C₂²⋊C₈	—	43	2	no	—
873	C₂²⋊C₈	—	43	2	no	—
874	C₂²⋊C₈	—	43	2	no	—
875	C₂²⋊C₈	—	43	2	no	—
876	C₄×C₈	—	43	1	no	—
877	C₄×C₈	—	43	1	no	—
878	C₄×C₈	—	43	1	no	—
879	C₄×C₈	—	43	1	no	—
880	C₂⁴	—	43	2	no	—
881	#41	—	2	2	no	—
882	#41	—	2	2	no	—
883	#41	—	86	2	no	—
884	#41	—	86	2	no	—
885	#41	—	172	4	no	—
886	#41	—	172	4	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	1	no	—
889	C₂×Q₈	—	43	1	no	—
890	C₂×Q₈	—	86	1	no	—
891	C₂×Q₈	—	86	1	no	—
892	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
893	C₂×D₄	—	2	1	no	—
894	C₂×D₄	—	43	1	no	—
895	C₂×D₄	—	43	1	no	—
896	C₂×D₄	—	43	2	no	—
897	C₂×D₄	—	43	1	no	—
898	C₂×D₄	—	86	2	no	—
899	C₂×D₄	—	86	2	no	—
900	C₂×D₄	—	86	2	no	—
901	C₂×D₄	—	86	2	no	—
902	C₂×D₄	—	86	1	no	—
903	C₂×D₄	—	172	2	no	—
904	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	43	2	no	—
909	C₂²×C₄	—	43	2	no	—
910	C₂²×C₄	—	43	2	no	—
911	C₂²×C₄	—	43	2	no	—
912	C₂²×C₄	—	43	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	4	no	—
918	C₂²×C₄	—	86	4	no	—
919	C₂²×C₄	—	86	1	no	—
920	C₂²×C₄	—	86	1	no	—
921	C₂²×C₄	—	86	1	no	—
922	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
923	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
924	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
925	Q₁₆	—	86	2	no	—
926	SD₁₆	—	86	2	no	—
927	SD₁₆	—	86	2	no	—
928	D₈	—	86	2	no	—
929	M₁₆	—	86	4	no	—
930	M₁₆	—	86	4	no	—
931	M₁₆	—	86	4	no	—
932	M₁₆	—	86	4	no	—
933	C₂×C₈	—	2	4	no	—
934	C₂×C₈	—	43	4	no	—
935	C₂×C₈	—	43	1	no	—
936	C₂×C₈	—	43	1	no	—
937	C₂×C₈	—	43	1	no	—
938	C₂×C₈	—	43	1	no	—
939	C₂×C₈	—	86	2	no	—
940	C₂×C₈	C₂³×D₄₃	1	2	yes	—
941	C₂×C₈	C₂³×D₄₃	1	2	yes	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	no	—
948	C₄⋊C₄	—	43	1	no	—
949	C₄⋊C₄	—	43	1	no	—
950	C₄⋊C₄	—	43	2	no	—
951	C₄⋊C₄	—	43	1	no	—
952	C₄⋊C₄	—	43	1	no	—
953	C₄⋊C₄	—	43	2	no	—
954	C₄⋊C₄	—	43	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	2	no	—
960	C₄⋊C₄	—	86	2	no	—
961	C₄⋊C₄	—	86	2	no	—
962	C₄⋊C₄	—	86	2	no	—
963	C₄⋊C₄	—	86	1	no	—
964	C₄⋊C₄	—	86	1	no	—
965	C₄⋊C₄	—	86	1	no	—
966	C₄⋊C₄	—	86	2	no	—
967	C₄⋊C₄	—	86	2	no	—
968	C₄⋊C₄	—	86	1	no	—
969	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
970	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
972	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	1	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	43	2	no	—
978	C₂²⋊C₄	—	43	2	no	—
979	C₂²⋊C₄	—	43	2	no	—
980	C₂²⋊C₄	—	43	2	no	—
981	C₂²⋊C₄	—	86	2	no	—
982	C₂²⋊C₄	—	86	2	no	—
983	C₂²⋊C₄	—	86	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	1	no	—
994	C₂²⋊C₄	—	86	2	no	—
995	C₂²⋊C₄	—	86	1	no	—
996	C₂²⋊C₄	—	86	1	no	—
997	C₄²	—	2	1	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	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	1	no	—
1006	C₄²	—	86	1	no	—
1007	C₄²	—	86	1	no	—
1008	C₄²	—	86	2	no	—
1009	C₄²	D₄×D₄₃	1	1	yes	characteristic
1010	C₄²	D₄×D₄₃	1	1	yes	characteristic
1011	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1012	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1013	C₂³	—	2	1	no	—
1014	C₂³	—	43	2	no	—
1015	C₂³	—	43	2	no	—
1016	C₂³	—	86	4	no	—
1017	C₂³	—	86	1	no	—
1018	C₂³	—	172	2	no	—
1019	C₂³	—	172	2	no	—
1020	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1021	Q₈	—	2	1	no	—
1022	Q₈	—	2	1	no	—
1023	Q₈	—	4	2	no	—
1024	Q₈	—	8	1	no	—
1025	Q₈	—	86	1	no	—
1026	Q₈	—	86	1	no	—
1027	Q₈	—	344	1	no	—
1028	Q₈	—	172	2	no	—
1029	D₄	—	2	1	no	—
1030	D₄	—	2	1	no	—
1031	D₄	—	4	2	no	—
1032	D₄	—	86	2	no	—
1033	D₄	—	86	2	no	—
1034	D₄	—	86	1	no	—
1035	D₄	—	86	1	no	—
1036	D₄	—	344	2	no	—
1037	D₄	—	344	2	no	—
1038	D₄	—	172	2	no	—
1039	D₄	—	172	4	no	—
1040	D₄	—	172	4	no	—
1041	D₄	—	172	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	4	1	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	2	no	—
1051	C₂×C₄	—	8	1	no	—
1052	C₂×C₄	—	43	2	no	—
1053	C₂×C₄	—	43	2	no	—
1054	C₂×C₄	—	86	4	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	4	no	—
1060	C₂×C₄	—	86	4	no	—
1061	C₂×C₄	—	86	1	no	—
1062	C₂×C₄	—	86	1	no	—
1063	C₂×C₄	—	86	2	no	—
1064	C₂×C₄	—	86	2	no	—
1065	C₂×C₄	—	86	1	no	—
1066	C₂×C₄	—	344	1	no	—
1067	C₂×C₄	—	344	2	no	—
1068	C₂×C₄	—	344	2	no	—
1069	C₂×C₄	—	172	4	no	—
1070	C₂×C₄	—	172	4	no	—
1071	C₂×C₄	—	172	2	no	—
1072	C₂×C₄	—	172	2	no	—
1073	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1074	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1075	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1076	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1077	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1078	C₂×C₄	#41×D₄₃	1	2	yes	—
1079	C₂×C₄	#13063373	1	2	yes	—
1080	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1081	C₈	—	2	2	no	—
1082	C₈	—	2	2	no	—
1083	C₈	—	43	2	no	—
1084	C₈	—	43	2	no	—
1085	C₈	—	86	1	no	—
1086	C₈	—	86	1	no	—
1087	C₂²	—	2	1	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	4	1	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	86	2	no	—
1093	C₂²	—	86	2	no	—
1094	C₂²	—	86	2	no	—
1095	C₂²	—	86	2	no	—
1096	C₂²	—	86	2	no	—
1097	C₂²	—	86	2	no	—
1098	C₂²	—	344	4	no	—
1099	C₂²	—	172	1	no	—
1100	C₂²	—	172	1	no	—
1101	C₂²	—	172	1	no	—
1102	C₂²	#14583551	1	2	yes	—
1103	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	2	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	2	no	—
1112	C₄	—	86	2	no	—
1113	C₄	—	86	2	no	—
1114	C₄	—	172	1	no	—
1115	C₄	—	172	1	no	—
1116	C₄	—	172	2	no	—
1117	C₄	—	172	1	no	—
1118	C₄	—	172	2	no	—
1119	C₄	#14583551	1	2	yes	—
1120	C₄	#14583696	1	2	yes	—
1121	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1122	C₄	C₂×#13063373	1	1	yes	characteristic
1123	C₂	—	2	2	no	—
1124	C₂	—	8	1	no	—
1125	C₂	—	344	1	no	—
1126	C₂	—	172	2	no	—
1127	C₂	—	172	2	no	—
1128	C₂	C₂×#14583551	1	1	yes	characteristic
1129	C₂	C₂×#14583696	1	1	yes	characteristic
1130	C₂	#19149368	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3076	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3076	D₄₃
hypocenter	C₄₃	#61251
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3076

Complements

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

N	H ≅ G/N	type
1. #19148162	C₂	semidirect
2. #19148159	C₂	semidirect
3. #19147224	C₂	semidirect
4. #19147218	C₂	semidirect
5. #19147213	C₂	semidirect
6. #19147207	C₂	semidirect
7. #19147198	C₂	semidirect
8. #19147193	C₂	semidirect
9. #19147187	C₂	semidirect
10. #19147182	C₂	semidirect
11. #19147176	C₂	semidirect
12. #19147167	C₂	semidirect
13. #19147162	C₂	semidirect
14. #19147152	C₂	semidirect
15. #19145105	C₂	semidirect
16. #19144512	C₂	semidirect
17. #19144506	C₂	semidirect
18. #19144385	C₂	semidirect
19. #19144203	C₂	semidirect
20. C₄×#13063345	C₂	semidirect
21. C₂×#14582976	C₂	semidirect
22. #19143183	C₂	semidirect
23. C₄₃×#3076	C₂	semidirect
57. #14583302	C₂²	semidirect
58. #14583302	C₂²	semidirect
59. #14583298	C₂²	semidirect
60. #14583298	C₂²	semidirect
61. #14583295	C₂²	semidirect
62. #14583295	C₂²	semidirect
63. #14583243	C₂²	semidirect
64. #14583242	C₂²	semidirect
65. #14583239	C₂²	semidirect
66. #14583238	C₂²	semidirect
67. #14583236	C₂²	semidirect
68. #14583233	C₂²	semidirect
69. #14583231	C₂²	semidirect
70. #14583228	C₂²	semidirect
71. #14583226	C₂²	semidirect
72. #14583225	C₂²	semidirect
73. #14583222	C₂²	semidirect
74. #14583221	C₂²	semidirect
75. #14583219	C₂²	semidirect
76. #14583216	C₂²	semidirect
77. #14583214	C₂²	semidirect
78. #14583211	C₂²	semidirect
79. #14583207	C₂²	semidirect
80. #14583200	C₂²	semidirect
81. #14583195	C₂²	semidirect
82. #14583190	C₂²	semidirect
83. #14583185	C₂²	semidirect
84. #14583180	C₂²	semidirect
85. #14583156	C₂²	semidirect
86. #14583156	C₂²	semidirect
87. #14583151	C₂²	semidirect
88. #14583151	C₂²	semidirect
89. #14583148	C₂²	semidirect
90. #14583148	C₂²	semidirect
91. #14583144	C₂²	semidirect
92. #14583144	C₂²	semidirect
93. C₄×#10621885	C₂²	semidirect
94. C₄×#10621885	C₂²	semidirect
95. C₄×#10621884	C₂²	semidirect
96. C₄×#10621884	C₂²	semidirect
97. C₄×#10621883	C₂²	semidirect
98. C₄×#10621883	C₂²	semidirect
99. C₄×#10621882	C₂²	semidirect
100. C₄×#10621882	C₂²	semidirect
107. #14582940	C₂²	semidirect
108. #14582940	C₂²	semidirect
109. #14582940	C₂²	semidirect
110. #14582940	C₂²	semidirect
111. #14582938	C₂²	semidirect
112. #14582938	C₂²	semidirect
113. #14582938	C₂²	semidirect
114. #14582938	C₂²	semidirect
126. C₄₃×#479	C₂²	semidirect
127. C₄₃×#478	C₂²	semidirect
128. C₄₃×#477	C₂²	semidirect
129. C₄₃×#476	C₂²	semidirect
130. C₄₃×#475	C₂²	semidirect
131. C₄₃×#474	C₂²	semidirect
438. C₂×C₄₃⋊C₈	#41	semidirect
576. #3076	D₄₃	semidirect
647. #479	C₂×D₄₃	semidirect
649. #478	C₂×D₄₃	semidirect
651. #477	C₂×D₄₃	semidirect
653. #476	C₂×D₄₃	semidirect
655. #475	C₂×D₄₃	semidirect
657. #474	C₂×D₄₃	semidirect
700. C₄₃	#61251	semidirect

Maximal subgroups

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

subgroup	index
#19148162	2
#19148159	2
#19147224	2
#19147218	2
#19147213	2
#19147207	2
#19147198	2
#19147193	2
#19147187	2
#19147182	2
#19147176	2
#19147167	2
#19147162	2
#19147152	2
#19145105	2
#19144512	2
#19144506	2
#19144385	2
#19144203	2
C₄×#13063345	2
C₂×#14582976	2
#19143183	2
C₄₃×#3076	2
#61251	43