Subgroups — #25979469

Order 11008.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148601	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148556	C₂	1	1	yes	maximal, characteristic, complemented
3	#19147635	C₂	1	1	yes	maximal, characteristic, complemented
4	#19147514	C₂	1	1	yes	maximal, characteristic, complemented
5	#19147289	C₂	1	1	yes	maximal, characteristic, complemented
6	#19147228	C₂	1	1	yes	maximal, characteristic, complemented
7	#19147181	C₂	1	1	yes	maximal, characteristic, complemented
8	#19147091	C₂	1	2	yes	maximal, complemented
9	#19146541	C₂	1	2	yes	maximal, complemented
10	#19146536	C₂	1	1	yes	maximal, characteristic, complemented
11	#19146446	C₂	1	2	yes	maximal, complemented
12	#19146410	C₂	1	1	yes	maximal, characteristic, complemented
13	#19146216	C₂	1	1	yes	maximal, characteristic, complemented
14	#19146135	C₂	1	2	yes	maximal, complemented
15	#19145274	C₂	1	2	yes	maximal, complemented
16	#19145174	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144863	C₂	1	2	yes	maximal, complemented
18	#19144835	C₂	1	2	yes	maximal, complemented
19	#19144746	C₂	1	1	yes	maximal, characteristic, complemented
20	#19144746	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143570	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143422	C₂	1	2	yes	maximal, complemented
23	C₄×#135×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063352	C₂²	1	2	yes	—
25	#14583634	C₂²	1	1	yes	characteristic
26	#14583628	C₂²	1	1	yes	characteristic, complemented
27	#14583622	C₂²	1	1	yes	characteristic
28	#14583612	C₂²	1	2	yes	—
29	#14583593	—	2	2	no	—
30	#14583593	C₂²	1	2	yes	complemented
31	#14583573	—	2	2	no	—
32	#14583571	C₂²	1	1	yes	characteristic
33	#14583570	—	2	1	no	—
34	#14583570	C₂²	1	1	yes	characteristic, complemented
35	#14583568	C₂²	1	2	yes	complemented
36	D₄×Dic₈₆	C₂²	1	1	yes	characteristic
37	#14583558	—	2	1	no	—
38	#14583554	—	2	1	no	—
39	#14583554	C₂²	1	1	yes	characteristic
40	#14583545	—	2	1	no	—
41	#14583537	C₂²	1	2	yes	—
42	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
43	#14583521	C₂²	1	2	yes	—
44	#14583500	—	2	2	no	—
45	#14583500	C₂²	1	2	yes	complemented
46	#14583482	—	2	2	no	—
47	#14583449	—	2	1	no	—
48	#14583449	C₂²	1	1	yes	characteristic
49	#14583449	C₂²	1	1	yes	characteristic, complemented
50	#14583433	—	2	1	no	—
51	#14583433	—	2	1	no	—
52	#14583433	C₂²	1	1	yes	characteristic
53	C₂×#13063313	—	2	1	no	—
54	#14583381	C₂²	1	2	yes	complemented
55	#14583371	C₂²	1	2	yes	—
56	#14583306	C₂²	1	2	yes	complemented
57	#14583304	C₂²	1	1	yes	characteristic, complemented
58	#14583285	C₂²	1	2	yes	complemented
59	#14583276	C₂²	1	1	yes	characteristic
60	#14583255	C₂²	1	2	yes	complemented
61	#14583246	C₂²	1	1	yes	characteristic
62	#14583246	C₂²	1	1	yes	characteristic, complemented
63	#14583244	C₂²	1	2	yes	complemented
64	#14583233	C₂²	1	2	yes	complemented
65	#14583226	C₂²	1	2	yes	complemented
66	#14583223	C₂²	1	2	yes	complemented
67	#14583223	C₂²	1	2	yes	complemented
68	#14583221	C₂²	1	2	yes	complemented
69	#14583214	C₂²	1	2	yes	—
70	#14583202	C₂²	1	2	yes	complemented
71	#14583197	C₂²	1	2	yes	—
72	#14583192	C₂²	1	2	yes	complemented
73	#14583184	C₂²	1	1	yes	characteristic, complemented
74	#14583184	C₂²	1	1	yes	characteristic, complemented
75	#14583179	C₂²	1	1	yes	characteristic
76	#14583179	C₂²	1	1	yes	characteristic, complemented
77	#14583178	C₂²	1	2	yes	complemented
78	#14583153	C₂²	1	2	yes	—
79	#14583142	C₂²	1	2	yes	complemented
80	#14583135	C₂²	1	2	yes	complemented
81	#14583135	C₂²	1	2	yes	complemented
82	#14583134	C₂²	1	2	yes	—
83	#14583131	C₂²	1	2	yes	complemented
84	#14583123	C₂²	1	2	yes	complemented
85	#14583117	C₂²	1	2	yes	complemented
86	#14583099	C₂²	1	1	yes	characteristic
87	#14583099	C₂²	1	1	yes	characteristic, complemented
88	#14583094	C₂²	1	1	yes	characteristic
89	#14583094	C₂²	1	1	yes	characteristic
90	#14583093	C₂²	1	2	yes	complemented
91	#14583092	C₂²	1	2	yes	—
92	#14583060	C₂²	1	2	yes	complemented
93	#14583047	C₂²	1	2	yes	—
94	#14583044	C₂²	1	2	yes	—
95	#14583044	C₂²	1	2	yes	complemented
96	#14583034	C₂²	1	2	yes	—
97	#14583031	C₂²	1	2	yes	—
98	#14583029	C₂²	1	1	yes	characteristic, complemented
99	C₈×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
100	#14583010	C₂²	1	2	yes	complemented
101	#14583009	C₂²	1	2	yes	—
102	#14583009	C₂²	1	2	yes	complemented
103	#14583000	C₂²	1	2	yes	—
104	#14582997	C₂²	1	2	yes	complemented
105	#14582997	C₂²	1	2	yes	complemented
106	#14582984	C₂²	1	2	yes	complemented
107	C₄×D₃₄₄	C₂²	1	2	yes	complemented
108	C₄×D₃₄₄	C₂²	1	2	yes	complemented
109	#14582979	C₂²	1	2	yes	—
110	#14582978	C₂²	1	1	yes	characteristic
111	#14582970	C₂²	1	2	yes	complemented
112	C₈×D₁₇₂	C₂²	1	1	yes	characteristic
113	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
114	#14582958	C₂²	1	2	yes	complemented
115	#14582956	C₂²	1	1	yes	characteristic, complemented
116	#14582938	C₂²	1	2	yes	complemented
117	#14582894	C₂²	1	2	yes	complemented
118	#102×D₄₃	C₂²	1	2	yes	—
119	#14582853	C₂²	1	2	yes	complemented
120	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic
121	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
122	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
123	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
125	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
126	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
127	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
128	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
129	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
130	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
131	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#416	C₂²	1	1	yes	characteristic
133	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10621902	C₂³	1	2	yes	—
136	C₂×#10621898	—	2	1	no	—
137	C₂×#10621898	—	2	1	no	—
138	C₂×#10621898	—	2	1	no	—
139	C₂×#10621898	—	2	1	no	—
140	C₂²×Dic₈₆	—	2	1	no	—
141	C₂²×D₁₇₂	—	2	1	no	—
142	C₂×D₄×D₄₃	C₂³	1	2	yes	—
143	#13063352	—	2	8	no	—
144	C₂×#10621884	C₂³	1	2	yes	—
145	C₂×#10621884	C₂³	1	2	yes	—
146	C₂×D₃₄₄	C₂³	1	2	yes	—
147	C₂×D₃₄₄	C₂³	1	2	yes	—
148	C₂×#10621882	C₂³	1	2	yes	—
149	C₂×#10621882	C₂³	1	2	yes	—
150	C₂×#10621872	C₂³	1	2	yes	—
151	C₂×C₈×D₄₃	C₂³	1	2	yes	—
152	#13063325	—	2	1	no	—
153	#13063325	C₂³	1	1	yes	characteristic
154	#13063325	C₂³	1	1	yes	characteristic
155	#13063324	C₂³	1	2	yes	—
156	#13063322	—	2	1	no	—
157	#13063322	C₂³	1	1	yes	characteristic
158	#13063322	C₂³	1	1	yes	characteristic
159	#13063321	—	2	2	no	—
160	#13063321	C₂³	1	2	yes	—
161	#13063320	—	2	2	no	—
162	#13063319	—	2	2	no	—
163	#13063319	—	2	2	no	—
164	#13063319	D₄	1	2	yes	—
165	#13063317	D₄	1	1	yes	characteristic
166	#13063316	—	2	2	no	—
167	#13063316	C₂³	1	2	yes	—
168	#13063314	C₂³	1	2	yes	—
169	#13063313	—	2	1	no	—
170	#13063313	—	2	1	no	—
171	#13063313	—	2	1	no	—
172	#13063313	—	2	1	no	—
173	#13063313	—	2	2	no	—
174	#13063313	—	2	2	no	—
175	#13063313	D₄	1	1	yes	characteristic
176	#13063311	—	2	2	no	—
177	#13063310	—	2	2	no	—
178	#13063310	—	2	2	no	—
179	#13063308	—	2	2	no	—
180	#13063308	—	2	2	no	—
181	#13063308	D₄	1	2	yes	—
182	#13063307	—	2	2	no	—
183	#13063307	—	2	2	no	—
184	#13063307	—	2	2	no	—
185	#13063304	—	2	1	no	—
186	#13063304	—	2	1	no	—
187	#13063304	D₄	1	1	yes	characteristic
188	#13063303	—	2	2	no	—
189	#13063302	—	2	2	no	—
190	#13063301	C₂³	1	2	yes	—
191	#13063300	—	2	2	no	—
192	#13063300	C₂³	1	2	yes	—
193	#13063300	C₂³	1	2	yes	—
194	#13063299	—	2	1	no	—
195	#13063299	—	2	1	no	—
196	#13063299	—	2	2	no	—
197	#13063299	—	2	2	no	—
198	#13063299	—	2	1	no	—
199	#13063299	—	2	1	no	—
200	#13063299	D₄	1	1	yes	characteristic
201	#13063299	C₂³	1	2	yes	—
202	#13063299	C₂³	1	2	yes	—
203	#13063298	—	2	2	no	—
204	#13063298	—	2	2	no	—
205	#13063298	—	2	2	no	—
206	#13063298	—	2	2	no	—
207	#13063297	—	2	2	no	—
208	#13063296	—	2	2	no	—
209	#13063296	C₂³	1	2	yes	—
210	#13063295	—	2	2	no	—
211	#13063293	—	2	2	no	—
212	Q₈×Dic₄₃	C₂³	1	2	yes	—
213	C₄×Dic₈₆	—	2	1	no	—
214	C₄×Dic₈₆	—	2	1	no	—
215	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
216	C₄×D₁₇₂	—	2	1	no	—
217	C₄×D₁₇₂	—	2	1	no	—
218	C₄×D₁₇₂	—	2	2	no	—
219	C₄×D₁₇₂	—	2	2	no	—
220	C₄×D₁₇₂	—	2	1	no	—
221	C₄×D₁₇₂	—	2	1	no	—
222	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
223	C₄×D₁₇₂	C₂³	1	2	yes	—
224	C₄×D₁₇₂	C₂³	1	2	yes	—
225	D₄×Dic₄₃	C₂³	1	2	yes	—
226	#13063287	—	2	2	no	—
227	#13063287	C₂³	1	2	yes	—
228	#13063287	C₂³	1	2	yes	—
229	C₄×C₂²⋊D₄₃	—	2	2	no	—
230	C₄×C₂²⋊D₄₃	—	2	2	no	—
231	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
232	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
233	#13063283	C₂³	1	2	yes	—
234	#13063282	—	2	2	no	—
235	#13063282	—	2	2	no	—
236	#13063282	C₂³	1	2	yes	—
237	C₄⋊C₄×D₄₃	—	2	2	no	—
238	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
239	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
240	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
241	C₂²⋊C₄×D₄₃	—	2	2	no	—
242	#13063259	C₂³	1	2	yes	—
243	#13063259	C₂³	1	2	yes	—
244	#13063258	C₂³	1	2	yes	—
245	#13063258	C₂³	1	2	yes	—
246	#13063256	C₂³	1	2	yes	—
247	#13063256	C₂³	1	2	yes	—
248	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
249	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
250	Dic₄₃⋊C₈	C₂³	1	2	yes	—
251	Dic₄₃⋊C₈	C₂³	1	2	yes	—
252	#13063249	C₂³	1	2	yes	—
253	#13063249	C₂³	1	2	yes	—
254	#13063247	C₂³	1	2	yes	—
255	#13063247	C₂³	1	2	yes	—
256	#13063247	C₂³	1	2	yes	—
257	#13063247	C₂³	1	2	yes	—
258	#13063246	C₂³	1	2	yes	—
259	#13063246	C₂³	1	2	yes	—
260	#13063245	C₂³	1	2	yes	—
261	#13063245	C₂³	1	2	yes	—
262	#13063245	C₂³	1	2	yes	—
263	#13063245	C₂³	1	2	yes	—
264	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
265	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
267	#13063236	C₂³	1	2	yes	—
268	#13063235	C₂³	1	2	yes	—
269	C₈×Dic₄₃	C₂³	1	2	yes	—
270	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
271	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
272	#135×C₄₃	—	2	4	no	—
273	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
274	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
275	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
276	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
278	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
279	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
280	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
281	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
282	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₄₃	—	2	1	no	—
284	C₄×D₄×C₄₃	—	2	1	no	—
285	C₄×D₄×C₄₃	—	2	1	no	—
286	C₄×D₄×C₄₃	—	2	1	no	—
287	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
289	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
291	#117×C₄₃	—	2	1	no	—
292	#117×C₄₃	—	2	1	no	—
293	#117×C₄₃	C₂³	1	1	yes	characteristic
294	#117×C₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₄₃	—	2	1	no	—
296	C₂×C₄²×C₄₃	—	2	1	no	—
297	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
298	#107×C₄₃	C₂³	1	1	yes	characteristic
299	#107×C₄₃	C₂³	1	1	yes	characteristic
300	#106×C₄₃	C₂³	1	1	yes	characteristic
301	#106×C₄₃	C₂³	1	1	yes	characteristic
302	#103×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	#102×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	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
314	C₂³×D₄₃	—	2	2	no	—
315	#41×C₄₃	—	2	2	no	—
316	#41×C₄₃	—	2	2	no	—
317	#41×C₄₃	—	4	1	no	—
318	#41×C₄₃	—	4	1	no	—
319	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
320	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
321	C₂×D₄×C₄₃	—	2	1	no	—
322	C₂×D₄×C₄₃	—	2	1	no	—
323	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
324	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
329	C₂²×C₄×C₄₃	—	2	1	no	—
330	C₂²×C₄×C₄₃	—	2	1	no	—
331	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
332	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
333	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
334	C₂×C₂²⋊D₄₃	—	2	2	no	—
335	C₂×C₂²⋊D₄₃	—	2	2	no	—
336	C₂×C₂²⋊D₄₃	—	2	2	no	—
337	C₂×C₂²⋊D₄₃	—	2	2	no	—
338	C₂×C₂²⋊D₄₃	—	2	2	no	—
339	C₂×C₂²⋊D₄₃	—	2	2	no	—
340	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
341	C₂²×Dic₄₃	—	2	2	no	—
342	#10621902	—	2	4	no	—
343	#10621902	—	4	2	no	—
344	D₄×D₄₃	—	2	4	no	—
345	D₄×D₄₃	—	4	2	no	—
346	#10621898	—	8	2	no	—
347	#10621898	—	8	2	no	—
348	#10621898	—	8	2	no	—
349	#10621898	—	8	2	no	—
350	C₂×D₁₇₂	—	2	1	no	—
351	C₂×D₁₇₂	—	2	1	no	—
352	C₂×D₁₇₂	—	2	1	no	—
353	C₂×D₁₇₂	—	2	1	no	—
354	C₂×D₁₇₂	—	2	2	no	—
355	C₂×D₁₇₂	—	2	2	no	—
356	C₂×D₁₇₂	—	2	2	no	—
357	C₂×D₁₇₂	—	8	2	no	—
358	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
359	C₂×D₁₇₂	C₂⁴	1	2	yes	—
360	C₂×D₁₇₂	C₂⁴	1	2	yes	—
361	C₂×C₄×D₄₃	—	2	2	no	—
362	C₂×C₄×D₄₃	—	2	2	no	—
363	C₂×C₄×D₄₃	—	2	2	no	—
364	C₂×C₄×D₄₃	—	2	2	no	—
365	C₂×C₄×D₄₃	—	2	2	no	—
366	C₂×C₄×D₄₃	—	2	2	no	—
367	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
368	C₂×Dic₈₆	—	2	1	no	—
369	C₂×Dic₈₆	—	2	1	no	—
370	C₂×Dic₈₆	—	2	2	no	—
371	C₂×Dic₈₆	—	8	2	no	—
372	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
373	Q₁₆×C₄₃	—	2	2	no	—
374	SD₁₆×C₄₃	—	2	2	no	—
375	SD₁₆×C₄₃	#41	1	4	yes	complemented
376	D₈×C₄₃	—	2	2	no	—
377	C₂×C₈×C₄₃	—	2	2	no	—
378	C₂×C₈×C₄₃	—	4	1	no	—
379	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
383	C₄⋊C₄×C₄₃	—	2	1	no	—
384	C₄⋊C₄×C₄₃	—	2	1	no	—
385	C₄⋊C₄×C₄₃	—	2	1	no	—
386	C₄⋊C₄×C₄₃	—	2	1	no	—
387	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
389	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
391	C₂²⋊C₄×C₄₃	—	2	1	no	—
392	C₂²⋊C₄×C₄₃	—	2	1	no	—
393	C₂²⋊C₄×C₄₃	—	2	1	no	—
394	C₂²⋊C₄×C₄₃	—	2	1	no	—
395	C₂²⋊C₄×C₄₃	—	2	1	no	—
396	C₂²⋊C₄×C₄₃	—	2	1	no	—
397	C₄²×C₄₃	—	2	1	no	—
398	C₄²×C₄₃	—	2	1	no	—
399	C₄²×C₄₃	—	2	1	no	—
400	C₄²×C₄₃	—	2	1	no	—
401	C₄²×C₄₃	—	2	1	no	—
402	C₄²×C₄₃	—	2	1	no	—
403	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
404	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
405	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²⋊Dic₄₃	—	2	2	no	—
408	C₂²⋊Dic₄₃	—	2	2	no	—
409	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
410	#10621884	—	2	4	no	—
411	#10621884	—	4	2	no	—
412	#10621882	—	2	4	no	—
413	#10621882	—	4	2	no	—
414	(C₂×D₄₃)⋊C₄	—	2	2	no	—
415	(C₂×D₄₃)⋊C₄	—	2	2	no	—
416	(C₂×D₄₃)⋊C₄	—	2	2	no	—
417	(C₂×D₄₃)⋊C₄	—	2	2	no	—
418	(C₂×D₄₃)⋊C₄	—	2	2	no	—
419	(C₂×D₄₃)⋊C₄	—	2	2	no	—
420	(C₂×D₄₃)⋊C₄	—	2	2	no	—
421	(C₂×D₄₃)⋊C₄	—	2	2	no	—
422	(C₂×D₄₃)⋊C₄	—	2	2	no	—
423	(C₂×D₄₃)⋊C₄	—	2	2	no	—
424	(C₂×D₄₃)⋊C₄	—	2	2	no	—
425	(C₂×D₄₃)⋊C₄	—	2	2	no	—
426	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
427	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
428	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
429	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
430	C₄⋊Dic₄₃	—	2	1	no	—
431	C₄⋊Dic₄₃	—	2	1	no	—
432	C₄⋊Dic₄₃	—	2	2	no	—
433	C₄⋊Dic₄₃	—	2	2	no	—
434	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
435	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
436	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
437	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
438	Dic₄₃⋊C₄	—	2	2	no	—
439	Dic₄₃⋊C₄	—	2	2	no	—
440	Dic₄₃⋊C₄	—	2	2	no	—
441	Dic₄₃⋊C₄	—	2	2	no	—
442	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
443	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
444	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
445	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
446	C₄×Dic₄₃	—	2	2	no	—
447	C₄×Dic₄₃	—	2	2	no	—
448	C₄×Dic₄₃	C₂⁴	1	2	yes	—
449	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
450	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
451	D₃₄₄	—	2	4	no	—
452	D₃₄₄	—	4	2	no	—
453	#10621872	—	2	4	no	—
454	C₈×D₄₃	—	4	2	no	—
455	C₂³×C₄₃	—	2	1	no	—
456	C₂³×C₄₃	—	2	1	no	—
457	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
458	C₂²×D₄₃	—	2	2	no	—
459	C₂²×D₄₃	—	2	2	no	—
460	C₂²×D₄₃	—	4	4	no	—
461	C₂²×D₄₃	—	8	2	no	—
462	C₂²×D₄₃	—	8	2	no	—
463	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
464	Q₈×C₄₃	—	2	1	no	—
465	Q₈×C₄₃	—	2	1	no	—
466	Q₈×C₄₃	—	2	1	no	—
467	Q₈×C₄₃	C₂×#41	1	2	yes	—
468	D₄×C₄₃	—	2	1	no	—
469	D₄×C₄₃	—	2	1	no	—
470	D₄×C₄₃	—	2	1	no	—
471	D₄×C₄₃	—	4	2	no	—
472	D₄×C₄₃	—	4	2	no	—
473	D₄×C₄₃	C₂×#41	1	2	yes	—
474	C₂×C₄×C₄₃	—	2	1	no	—
475	C₂×C₄×C₄₃	—	2	2	no	—
476	C₂×C₄×C₄₃	—	2	1	no	—
477	C₂×C₄×C₄₃	—	2	1	no	—
478	C₂×C₄×C₄₃	—	2	1	no	—
479	C₂×C₄×C₄₃	—	2	1	no	—
480	C₂×C₄×C₄₃	—	2	1	no	—
481	C₂×C₄×C₄₃	—	2	1	no	—
482	C₂×C₄×C₄₃	—	2	1	no	—
483	C₂×C₄×C₄₃	—	4	1	no	—
484	C₂×C₄×C₄₃	—	4	2	no	—
485	C₂×C₄×C₄₃	—	4	2	no	—
486	C₂×C₄×C₄₃	—	4	2	no	—
487	C₂×C₄×C₄₃	—	4	2	no	—
488	C₂×C₄×C₄₃	—	8	1	no	—
489	C₂×C₄×C₄₃	—	8	1	no	—
490	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
491	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
492	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
493	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
494	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
495	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
496	C₂²⋊D₄₃	—	4	2	no	—
497	C₂²⋊D₄₃	—	4	4	no	—
498	C₂²⋊D₄₃	—	8	2	no	—
499	C₂²⋊D₄₃	—	8	2	no	—
500	C₂²⋊D₄₃	—	8	2	no	—
501	C₂²⋊D₄₃	—	8	2	no	—
502	C₂²⋊D₄₃	—	8	2	no	—
503	C₂×Dic₄₃	—	2	2	no	—
504	C₂×Dic₄₃	—	2	2	no	—
505	C₂×Dic₄₃	—	8	2	no	—
506	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
507	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
508	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
509	D₁₇₂	—	2	2	no	—
510	D₁₇₂	—	2	2	no	—
511	D₁₇₂	—	2	2	no	—
512	D₁₇₂	—	2	2	no	—
513	D₁₇₂	—	2	2	no	—
514	D₁₇₂	—	4	4	no	—
515	D₁₇₂	—	4	2	no	—
516	D₁₇₂	—	4	2	no	—
517	D₁₇₂	—	8	1	no	—
518	D₁₇₂	—	8	1	no	—
519	D₁₇₂	—	8	2	no	—
520	D₁₇₂	—	8	2	no	—
521	C₄×D₄₃	—	2	2	no	—
522	C₄×D₄₃	—	2	2	no	—
523	C₄×D₄₃	—	4	4	no	—
524	C₄×D₄₃	—	8	2	no	—
525	C₄×D₄₃	—	8	2	no	—
526	C₄×D₄₃	—	8	2	no	—
527	C₄×D₄₃	—	8	2	no	—
528	C₄×D₄₃	—	8	2	no	—
529	Dic₈₆	—	2	2	no	—
530	Dic₈₆	—	4	2	no	—
531	Dic₈₆	—	4	2	no	—
532	Dic₈₆	—	8	2	no	—
533	C₈×C₄₃	—	2	1	no	—
534	C₈×C₄₃	—	2	1	no	—
535	C₈×C₄₃	—	2	1	no	—
536	C₈×C₄₃	C₂×#41	1	2	yes	—
537	C₄₃⋊C₈	—	2	2	no	—
538	C₄₃⋊C₈	—	2	2	no	—
539	#61494	—	43	1	no	maximal, Sylow
540	C₂²×C₄₃	—	2	1	no	—
541	C₂²×C₄₃	—	2	2	no	—
542	C₂²×C₄₃	—	2	1	no	—
543	C₂²×C₄₃	—	2	1	no	—
544	C₂²×C₄₃	—	4	1	no	—
545	C₂²×C₄₃	—	4	1	no	—
546	C₂²×C₄₃	—	4	1	no	—
547	C₂²×C₄₃	—	4	1	no	—
548	C₂²×C₄₃	—	4	1	no	—
549	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
550	C₂×D₄₃	—	2	2	no	—
551	C₂×D₄₃	—	2	2	no	—
552	C₂×D₄₃	—	2	2	no	—
553	C₂×D₄₃	—	4	2	no	—
554	C₂×D₄₃	—	4	2	no	—
555	C₂×D₄₃	—	4	2	no	—
556	C₂×D₄₃	—	4	2	no	—
557	C₂×D₄₃	—	4	2	no	—
558	C₂×D₄₃	—	4	2	no	—
559	C₂×D₄₃	—	16	4	no	—
560	C₄×C₄₃	—	2	1	no	—
561	C₄×C₄₃	—	2	1	no	—
562	C₄×C₄₃	—	2	2	no	—
563	C₄×C₄₃	—	2	1	no	—
564	C₄×C₄₃	—	2	1	no	—
565	C₄×C₄₃	—	4	1	no	—
566	C₄×C₄₃	—	4	1	no	—
567	C₄×C₄₃	—	4	1	no	—
568	C₄×C₄₃	—	4	1	no	—
569	C₄×C₄₃	—	4	1	no	—
570	C₄×C₄₃	#576	1	2	yes	—
571	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
572	C₄×C₄₃	#585	1	1	yes	characteristic
573	Dic₄₃	—	2	2	no	—
574	Dic₄₃	—	2	2	no	—
575	Dic₄₃	—	2	2	no	—
576	Dic₄₃	—	4	2	no	—
577	Dic₄₃	—	4	2	no	—
578	#3517	—	43	1	no	—
579	#3514	—	43	1	no	—
580	#3399	—	43	1	no	—
581	#3386	—	43	1	no	—
582	#3365	—	43	1	no	—
583	#3358	—	43	1	no	—
584	#3353	—	43	1	no	—
585	#3347	—	43	2	no	—
586	#3305	—	43	2	no	—
587	#3304	—	43	1	no	—
588	#3297	—	43	2	no	—
589	#3294	—	43	1	no	—
590	#3274	—	43	1	no	—
591	#3268	—	43	2	no	—
592	#3179	—	43	2	no	—
593	#3169	—	43	1	no	—
594	#3124	—	43	2	no	—
595	#3122	—	43	2	no	—
596	#3115	—	43	1	no	—
597	#3115	—	43	1	no	—
598	#2966	—	43	1	no	—
599	#2946	—	43	2	no	—
600	C₄×#135	D₄₃	1	1	yes	characteristic, complemented
601	C₂×C₄₃	—	4	2	no	—
602	C₂×C₄₃	—	4	1	no	—
603	C₂×C₄₃	—	8	1	no	—
604	C₂×C₄₃	D₄×#41	1	1	yes	characteristic
605	C₂×C₄₃	C₂×#576	1	1	yes	characteristic
606	C₂×C₄₃	#3584	1	1	yes	characteristic
607	D₄₃	—	4	2	no	—
608	D₄₃	—	8	2	no	—
609	D₄₃	—	8	2	no	—
610	C₂×AGL(1,ℤ/8)	—	43	2	no	—
611	C₂×#135	C₂×D₄₃	1	1	yes	characteristic
612	#559	—	43	1	no	—
613	#557	—	43	1	no	—
614	#556	—	43	1	no	—
615	#555	—	43	2	no	—
616	#553	—	43	2	no	—
617	#553	—	86	2	no	—
618	#551	—	86	2	no	—
619	#550	—	43	1	no	—
620	#550	—	43	2	no	—
621	#550	—	43	1	no	—
622	#550	—	86	1	no	—
623	D₄×Q₈	—	43	1	no	—
624	#548	—	86	1	no	—
625	#547	—	43	1	no	—
626	#547	—	86	1	no	—
627	#546	—	43	2	no	—
628	#546	—	86	1	no	—
629	D₄²	—	43	1	no	—
630	#542	—	43	2	no	—
631	#540	—	43	2	no	—
632	#540	—	86	2	no	—
633	#538	—	86	2	no	—
634	#532	—	43	1	no	—
635	#532	—	43	1	no	—
636	#532	—	86	1	no	—
637	#529	—	43	1	no	—
638	#529	—	86	1	no	—
639	#529	—	86	1	no	—
640	C₂×#124	—	86	1	no	—
641	#520	—	43	2	no	—
642	#518	—	43	2	no	—
643	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
644	C₄×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
645	#501	—	43	2	no	—
646	#500	—	43	1	no	—
647	#496	—	43	2	no	—
648	#493	—	43	1	no	—
649	#488	—	43	2	no	—
650	#486	—	43	2	no	—
651	#486	—	43	1	no	—
652	#486	—	43	1	no	—
653	#484	—	43	2	no	—
654	#482	—	43	2	no	—
655	#482	—	43	2	no	—
656	#482	—	43	2	no	—
657	#482	—	43	2	no	—
658	#480	—	43	2	no	—
659	#478	—	43	2	no	—
660	#478	—	43	2	no	—
661	#477	—	43	2	no	—
662	#475	—	43	1	no	—
663	#475	—	43	1	no	—
664	#474	—	43	1	no	—
665	#474	—	43	1	no	—
666	#474	—	43	2	no	—
667	#469	—	43	2	no	—
668	#468	—	43	2	no	—
669	#466	—	43	2	no	—
670	#466	—	43	2	no	—
671	#466	—	43	2	no	—
672	#465	—	43	2	no	—
673	#464	—	43	2	no	—
674	#463	—	43	2	no	—
675	#460	—	43	1	no	—
676	#460	—	43	1	no	—
677	#459	—	43	2	no	—
678	#459	—	43	1	no	—
679	#459	—	43	1	no	—
680	#459	—	43	2	no	—
681	#452	—	43	2	no	—
682	#449	—	43	2	no	—
683	#449	—	43	2	no	—
684	#449	—	43	2	no	—
685	#447	—	43	2	no	—
686	#447	—	43	2	no	—
687	#446	—	43	1	no	—
688	C₈×Q₈	—	43	1	no	—
689	#442	—	43	2	no	—
690	#442	—	43	2	no	—
691	#442	—	43	2	no	—
692	#440	—	43	2	no	—
693	#440	—	43	2	no	—
694	#440	—	43	2	no	—
695	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
696	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
697	C₄×SD₁₆	—	43	2	no	—
698	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
699	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
700	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
701	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
702	C₄×D₈	—	43	2	no	—
703	C₄×D₈	—	43	2	no	—
704	C₄×D₈	—	43	2	no	—
705	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
706	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
707	#436	—	43	1	no	—
708	#435	—	43	2	no	—
709	C₈×D₄	—	43	2	no	—
710	C₈×D₄	—	43	1	no	—
711	#433	—	43	2	no	—
712	#432	—	43	1	no	—
713	#428	—	43	2	no	—
714	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
715	#416	—	43	2	no	—
716	#416	C₂×D₄₃	1	1	yes	characteristic
717	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
718	C₂×#102	—	43	2	no	—
719	#405	—	43	2	no	—
720	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic, complemented
721	C₄₃	#61494	1	1	yes	characteristic, complemented, Sylow
722	C₂×#41	—	43	2	no	—
723	C₂×#41	—	86	1	no	—
724	C₂×#41	—	86	1	no	—
725	C₂×#41	—	86	1	no	—
726	C₂×#41	—	86	1	no	—
727	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
728	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
729	C₂²×Q₈	—	86	1	no	—
730	C₂²×D₄	—	43	2	no	—
731	C₂²×D₄	—	86	1	no	—
732	AGL(1,ℤ/8)	—	86	8	no	—
733	#135	—	2	4	no	—
734	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
735	C₂×SD₁₆	—	43	2	no	—
736	C₂×SD₁₆	—	43	2	no	—
737	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
738	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
739	C₂×D₈	—	43	2	no	—
740	C₂×D₈	—	43	2	no	—
741	C₂×D₈	—	43	2	no	—
742	C₂×D₈	—	43	2	no	—
743	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
744	C₂×M₁₆	—	43	2	no	—
745	C₂²×C₈	—	43	2	no	—
746	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
747	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
748	C₄⋊Q₈	—	43	2	no	—
749	C₄⋊Q₈	—	43	1	no	—
750	C₄⋊Q₈	—	43	1	no	—
751	C₄⋊Q₈	—	86	1	no	—
752	#127	—	43	2	no	—
753	#127	—	43	1	no	—
754	#127	—	43	1	no	—
755	#127	—	86	1	no	—
756	#127	—	86	2	no	—
757	#126	—	43	2	no	—
758	#126	—	86	2	no	—
759	#126	—	86	2	no	—
760	#126	—	86	2	no	—
761	#125	—	43	2	no	—
762	#125	—	43	1	no	—
763	#125	—	86	2	no	—
764	#124	—	43	2	no	—
765	#124	—	43	1	no	—
766	#124	—	86	2	no	—
767	#124	—	86	2	no	—
768	#124	—	86	1	no	—
769	#124	—	86	1	no	—
770	#124	—	86	2	no	—
771	#124	—	86	1	no	—
772	#124	—	86	1	no	—
773	#123	—	43	2	no	—
774	#123	—	86	2	no	—
775	#123	—	86	2	no	—
776	#123	—	86	2	no	—
777	#123	—	86	2	no	—
778	#123	—	86	2	no	—
779	#123	—	86	2	no	—
780	#123	—	86	2	no	—
781	C₂²⋊Q₈	—	43	1	no	—
782	C₂²⋊Q₈	—	43	2	no	—
783	C₂²⋊Q₈	—	86	2	no	—
784	C₂²⋊Q₈	—	86	2	no	—
785	C₂²⋊Q₈	—	86	1	no	—
786	C₂²⋊Q₈	—	86	1	no	—
787	#121	—	43	1	no	—
788	#121	—	43	2	no	—
789	#121	—	43	2	no	—
790	#121	—	43	2	no	—
791	#121	—	43	2	no	—
792	#121	—	43	2	no	—
793	#121	—	86	2	no	—
794	#121	—	86	2	no	—
795	#121	—	86	2	no	—
796	#121	—	86	2	no	—
797	#121	—	86	2	no	—
798	#121	—	86	2	no	—
799	#121	—	86	2	no	—
800	#121	—	86	2	no	—
801	#121	—	86	2	no	—
802	#121	—	86	1	no	—
803	#121	—	86	1	no	—
804	#121	—	86	1	no	—
805	#121	—	86	1	no	—
806	#120	—	86	2	no	—
807	#120	—	86	2	no	—
808	C₄×Q₈	—	43	1	no	—
809	C₄×Q₈	—	43	2	no	—
810	C₄×Q₈	—	86	1	no	—
811	C₄×Q₈	—	86	1	no	—
812	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
813	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
814	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
815	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	43	2	no	—
821	C₄×D₄	—	43	2	no	—
822	C₄×D₄	—	43	2	no	—
823	C₄×D₄	—	43	2	no	—
824	C₄×D₄	—	43	1	no	—
825	C₄×D₄	—	43	2	no	—
826	C₄×D₄	—	43	2	no	—
827	C₄×D₄	—	86	2	no	—
828	C₄×D₄	—	86	2	no	—
829	C₄×D₄	—	86	1	no	—
830	C₄×D₄	—	86	1	no	—
831	C₄×D₄	—	86	2	no	—
832	C₄×D₄	—	86	2	no	—
833	C₄×D₄	—	86	2	no	—
834	C₄×D₄	—	86	2	no	—
835	C₄×D₄	—	86	1	no	—
836	C₄×D₄	—	86	1	no	—
837	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
838	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
839	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
840	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
841	#117	—	2	1	no	—
842	#117	—	2	1	no	—
843	#117	—	43	2	no	—
844	#117	—	43	2	no	—
845	#117	—	86	2	no	—
846	#117	—	86	2	no	—
847	#117	C₂²×D₄₃	1	1	yes	characteristic
848	#117	C₂²×D₄₃	1	1	yes	characteristic
849	C₂×C₄⋊C₄	—	43	2	no	—
850	C₂×C₄⋊C₄	—	86	2	no	—
851	C₂×C₂²⋊C₄	—	86	2	no	—
852	C₂×C₂²⋊C₄	—	86	2	no	—
853	C₂×C₂²⋊C₄	—	86	2	no	—
854	C₂×C₄²	—	2	1	no	—
855	C₂×C₄²	—	2	1	no	—
856	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
857	#107	—	43	2	no	—
858	#107	—	43	2	no	—
859	#107	—	43	2	no	—
860	#107	—	43	2	no	—
861	#107	C₂²×D₄₃	1	1	yes	characteristic
862	#107	C₂²×D₄₃	1	1	yes	characteristic
863	#106	—	43	2	no	—
864	#106	—	43	2	no	—
865	#106	C₂²×D₄₃	1	1	yes	characteristic
866	#106	C₂²×D₄₃	1	1	yes	characteristic
867	C₄⋊C₈	—	43	2	no	—
868	C₄⋊C₈	—	43	2	no	—
869	C₄⋊C₈	—	43	1	no	—
870	C₄⋊C₈	—	43	1	no	—
871	#103	—	43	2	no	—
872	#103	—	43	2	no	—
873	#103	C₂²×D₄₃	1	1	yes	characteristic
874	#103	C₂²×D₄₃	1	1	yes	characteristic
875	#103	C₂²×D₄₃	1	1	yes	characteristic
876	#103	C₂²×D₄₃	1	1	yes	characteristic
877	#102	—	43	2	no	—
878	#102	—	43	2	no	—
879	#102	—	43	2	no	—
880	#102	—	43	2	no	—
881	#102	—	43	2	no	—
882	#102	—	43	2	no	—
883	#102	—	43	2	no	—
884	#102	—	43	2	no	—
885	#102	—	43	2	no	—
886	#102	—	43	2	no	—
887	#102	C₂²×D₄₃	1	1	yes	characteristic
888	#102	C₂²×D₄₃	1	1	yes	characteristic
889	#102	C₂²×D₄₃	1	1	yes	characteristic
890	#102	C₂²×D₄₃	1	1	yes	characteristic
891	C₂²⋊C₈	—	43	2	no	—
892	C₂²⋊C₈	—	43	2	no	—
893	C₂²⋊C₈	—	43	2	no	—
894	#97	—	43	2	no	—
895	#97	—	43	2	no	—
896	C₄×C₈	—	43	2	no	—
897	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
898	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
899	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
900	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
901	C₂⁴	—	86	2	no	—
902	#41	—	2	2	no	—
903	#41	—	2	2	no	—
904	#41	—	4	1	no	—
905	#41	—	4	1	no	—
906	#41	—	86	4	no	—
907	#41	—	344	2	no	—
908	#41	—	344	2	no	—
909	#41	—	344	2	no	—
910	#41	—	344	2	no	—
911	#41	—	172	2	no	—
912	C₂×Q₈	—	43	1	no	—
913	C₂×Q₈	—	86	2	no	—
914	C₂×Q₈	—	86	1	no	—
915	C₂×Q₈	—	86	1	no	—
916	C₂×Q₈	—	344	2	no	—
917	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
918	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	43	2	no	—
922	C₂×D₄	—	43	1	no	—
923	C₂×D₄	—	43	2	no	—
924	C₂×D₄	—	43	2	no	—
925	C₂×D₄	—	86	2	no	—
926	C₂×D₄	—	86	2	no	—
927	C₂×D₄	—	86	2	no	—
928	C₂×D₄	—	86	2	no	—
929	C₂×D₄	—	86	2	no	—
930	C₂×D₄	—	86	2	no	—
931	C₂×D₄	—	86	4	no	—
932	C₂×D₄	—	86	2	no	—
933	C₂×D₄	—	86	2	no	—
934	C₂×D₄	—	86	2	no	—
935	C₂×D₄	—	86	1	no	—
936	C₂×D₄	—	86	1	no	—
937	C₂×D₄	—	86	1	no	—
938	C₂×D₄	—	86	1	no	—
939	C₂×D₄	—	344	2	no	—
940	C₂×D₄	—	172	2	no	—
941	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
942	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	1	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	43	2	no	—
950	C₂²×C₄	—	86	2	no	—
951	C₂²×C₄	—	86	2	no	—
952	C₂²×C₄	—	86	2	no	—
953	C₂²×C₄	—	86	2	no	—
954	C₂²×C₄	—	86	2	no	—
955	C₂²×C₄	—	86	2	no	—
956	C₂²×C₄	—	86	2	no	—
957	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
958	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
959	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
960	Q₁₆	—	2	2	no	—
961	SD₁₆	—	2	2	no	—
962	SD₁₆	—	86	4	no	—
963	SD₁₆	—	172	2	no	—
964	SD₁₆	#10621898	1	4	yes	complemented
965	D₈	—	2	2	no	—
966	D₈	—	86	4	no	—
967	D₈	—	86	4	no	—
968	D₈	—	172	2	no	—
969	D₈	—	172	2	no	—
970	M₁₆	—	86	4	no	—
971	C₂×C₈	—	2	2	no	—
972	C₂×C₈	—	4	1	no	—
973	C₂×C₈	—	43	2	no	—
974	C₂×C₈	—	43	2	no	—
975	C₂×C₈	—	172	2	no	—
976	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
977	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
978	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
979	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	43	2	no	—
985	C₄⋊C₄	—	43	2	no	—
986	C₄⋊C₄	—	43	2	no	—
987	C₄⋊C₄	—	43	1	no	—
988	C₄⋊C₄	—	43	1	no	—
989	C₄⋊C₄	—	43	2	no	—
990	C₄⋊C₄	—	43	2	no	—
991	C₄⋊C₄	—	43	2	no	—
992	C₄⋊C₄	—	86	2	no	—
993	C₄⋊C₄	—	86	2	no	—
994	C₄⋊C₄	—	86	2	no	—
995	C₄⋊C₄	—	86	2	no	—
996	C₄⋊C₄	—	86	2	no	—
997	C₄⋊C₄	—	86	2	no	—
998	C₄⋊C₄	—	86	1	no	—
999	C₄⋊C₄	—	86	1	no	—
1000	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1001	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1002	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1003	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	43	2	no	—
1011	C₂²⋊C₄	—	43	2	no	—
1012	C₂²⋊C₄	—	43	2	no	—
1013	C₂²⋊C₄	—	43	2	no	—
1014	C₂²⋊C₄	—	43	2	no	—
1015	C₂²⋊C₄	—	86	2	no	—
1016	C₂²⋊C₄	—	86	2	no	—
1017	C₂²⋊C₄	—	86	2	no	—
1018	C₂²⋊C₄	—	86	2	no	—
1019	C₂²⋊C₄	—	86	2	no	—
1020	C₂²⋊C₄	—	86	2	no	—
1021	C₂²⋊C₄	—	86	2	no	—
1022	C₂²⋊C₄	—	86	2	no	—
1023	C₂²⋊C₄	—	86	2	no	—
1024	C₂²⋊C₄	—	86	2	no	—
1025	C₂²⋊C₄	—	86	2	no	—
1026	C₂²⋊C₄	—	86	2	no	—
1027	C₂²⋊C₄	—	86	2	no	—
1028	C₂²⋊C₄	—	86	2	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	—	43	2	no	—
1036	C₄²	—	86	2	no	—
1037	C₄²	—	86	2	no	—
1038	C₄²	D₄×D₄₃	1	1	yes	characteristic
1039	C₄²	D₄×D₄₃	1	1	yes	characteristic
1040	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1041	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	—	43	2	no	—
1045	C₂³	—	86	2	no	—
1046	C₂³	—	86	2	no	—
1047	C₂³	—	344	2	no	—
1048	C₂³	—	344	2	no	—
1049	C₂³	—	172	4	no	—
1050	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1051	Q₈	—	2	1	no	—
1052	Q₈	—	2	1	no	—
1053	Q₈	—	2	1	no	—
1054	Q₈	—	86	2	no	—
1055	Q₈	—	344	2	no	—
1056	Q₈	—	172	2	no	—
1057	Q₈	—	172	2	no	—
1058	Q₈	C₂×#10621898	1	2	yes	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	1	no	—
1061	D₄	—	2	1	no	—
1062	D₄	—	4	2	no	—
1063	D₄	—	4	2	no	—
1064	D₄	—	86	2	no	—
1065	D₄	—	86	2	no	—
1066	D₄	—	86	2	no	—
1067	D₄	—	86	2	no	—
1068	D₄	—	86	2	no	—
1069	D₄	—	344	1	no	—
1070	D₄	—	344	1	no	—
1071	D₄	—	344	2	no	—
1072	D₄	—	344	2	no	—
1073	D₄	—	344	2	no	—
1074	D₄	—	344	2	no	—
1075	D₄	—	344	2	no	—
1076	D₄	—	344	2	no	—
1077	D₄	—	344	2	no	—
1078	D₄	—	172	4	no	—
1079	D₄	—	172	2	no	—
1080	D₄	—	172	4	no	—
1081	D₄	—	172	2	no	—
1082	D₄	—	172	2	no	—
1083	D₄	C₂×#10621898	1	2	yes	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	4	1	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	8	1	no	—
1099	C₂×C₄	—	8	1	no	—
1100	C₂×C₄	—	43	2	no	—
1101	C₂×C₄	—	43	2	no	—
1102	C₂×C₄	—	43	2	no	—
1103	C₂×C₄	—	86	2	no	—
1104	C₂×C₄	—	86	2	no	—
1105	C₂×C₄	—	86	2	no	—
1106	C₂×C₄	—	86	2	no	—
1107	C₂×C₄	—	344	2	no	—
1108	C₂×C₄	—	344	2	no	—
1109	C₂×C₄	—	344	2	no	—
1110	C₂×C₄	—	344	2	no	—
1111	C₂×C₄	—	344	2	no	—
1112	C₂×C₄	—	344	2	no	—
1113	C₂×C₄	—	172	4	no	—
1114	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1115	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1116	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1117	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1118	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1119	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1120	C₈	—	2	1	no	—
1121	C₈	—	2	1	no	—
1122	C₈	—	2	1	no	—
1123	C₈	—	86	2	no	—
1124	C₈	—	86	2	no	—
1125	C₈	C₂×#10621898	1	2	yes	—
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	2	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	1	no	—
1132	C₂²	—	4	1	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	86	2	no	—
1136	C₂²	—	86	2	no	—
1137	C₂²	—	86	2	no	—
1138	C₂²	—	172	2	no	—
1139	C₂²	—	172	2	no	—
1140	C₂²	—	172	2	no	—
1141	C₂²	—	172	2	no	—
1142	C₂²	—	172	2	no	—
1143	C₂²	—	172	2	no	—
1144	C₂²	—	688	4	no	—
1145	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1146	C₄	—	2	1	no	—
1147	C₄	—	2	1	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	2	1	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	1	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	1	no	—
1156	C₄	—	86	2	no	—
1157	C₄	—	86	2	no	—
1158	C₄	—	86	2	no	—
1159	C₄	—	172	2	no	—
1160	C₄	—	172	2	no	—
1161	C₄	#14583701	1	2	yes	—
1162	C₄	C₂²×#10621898	1	1	yes	characteristic
1163	C₄	#14583735	1	1	yes	characteristic
1164	C₂	—	4	1	no	—
1165	C₂	—	4	2	no	—
1166	C₂	—	8	1	no	—
1167	C₂	—	344	2	no	—
1168	C₂	—	344	2	no	—
1169	C₂	—	172	2	no	—
1170	C₂	D₄×#10621898	1	1	yes	characteristic
1171	C₂	C₂×#14583701	1	1	yes	characteristic
1172	C₂	#19149364	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄×#135×C₄₃	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	C₄×#135	D₄₃
hypocenter	C₄₃	#61494
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₄×#135

Complements

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

N	H ≅ G/N	type
1. #19148601	C₂	semidirect
2. #19148556	C₂	semidirect
3. #19147635	C₂	semidirect
4. #19147514	C₂	semidirect
5. #19147289	C₂	semidirect
6. #19147228	C₂	semidirect
7. #19147181	C₂	semidirect
8. #19147091	C₂	semidirect
9. #19146541	C₂	semidirect
10. #19146536	C₂	semidirect
11. #19146446	C₂	semidirect
12. #19146410	C₂	semidirect
13. #19146216	C₂	semidirect
14. #19146135	C₂	semidirect
15. #19145274	C₂	semidirect
16. #19145174	C₂	semidirect
17. #19144863	C₂	semidirect
18. #19144835	C₂	semidirect
19. #19144746	C₂	semidirect
20. #19144746	C₂	semidirect
21. #19143570	C₂	semidirect
22. #19143422	C₂	semidirect
23. C₄×#135×C₄₃	C₂	semidirect
26. #14583628	C₂²	semidirect
30. #14583593	C₂²	semidirect
34. #14583570	C₂²	semidirect
35. #14583568	C₂²	semidirect
45. #14583500	C₂²	semidirect
49. #14583449	C₂²	semidirect
54. #14583381	C₂²	semidirect
56. #14583306	C₂²	semidirect
57. #14583304	C₂²	semidirect
58. #14583285	C₂²	semidirect
60. #14583255	C₂²	semidirect
62. #14583246	C₂²	semidirect
63. #14583244	C₂²	semidirect
64. #14583233	C₂²	semidirect
65. #14583226	C₂²	semidirect
66. #14583223	C₂²	semidirect
67. #14583223	C₂²	semidirect
68. #14583221	C₂²	semidirect
70. #14583202	C₂²	semidirect
72. #14583192	C₂²	semidirect
73. #14583184	C₂²	semidirect
74. #14583184	C₂²	semidirect
76. #14583179	C₂²	semidirect
77. #14583178	C₂²	semidirect
79. #14583142	C₂²	semidirect
80. #14583135	C₂²	semidirect
81. #14583135	C₂²	semidirect
83. #14583131	C₂²	semidirect
84. #14583123	C₂²	semidirect
85. #14583117	C₂²	semidirect
87. #14583099	C₂²	semidirect
90. #14583093	C₂²	semidirect
92. #14583060	C₂²	semidirect
95. #14583044	C₂²	semidirect
98. #14583029	C₂²	semidirect
99. C₈×Dic₈₆	C₂²	semidirect
100. #14583010	C₂²	semidirect
102. #14583009	C₂²	semidirect
104. #14582997	C₂²	semidirect
105. #14582997	C₂²	semidirect
106. #14582984	C₂²	semidirect
107. C₄×D₃₄₄	C₂²	semidirect
108. C₄×D₃₄₄	C₂²	semidirect
111. #14582970	C₂²	semidirect
113. C₈×C₂²⋊D₄₃	C₂²	semidirect
114. #14582958	C₂²	semidirect
115. #14582956	C₂²	semidirect
116. #14582938	C₂²	semidirect
117. #14582894	C₂²	semidirect
119. #14582853	C₂²	semidirect
122. C₄×#41×C₄₃	C₂²	semidirect
123. C₄×Q₁₆×C₄₃	C₂²	semidirect
124. C₄×Q₁₆×C₄₃	C₂²	semidirect
127. C₄×SD₁₆×C₄₃	C₂²	semidirect
128. C₄×SD₁₆×C₄₃	C₂²	semidirect
131. C₄₃×#427	C₂²	semidirect
133. C₄₃×#416	C₂²	semidirect
134. C₂×C₄×C₈×C₄₃	C₂²	semidirect
375. SD₁₆×C₄₃	#41	semidirect
600. C₄×#135	D₄₃	semidirect
644. C₄×#41	C₂×D₄₃	semidirect
695. C₄×Q₁₆	C₂×D₄₃	semidirect
696. C₄×Q₁₆	C₂×D₄₃	semidirect
700. C₄×SD₁₆	C₂×D₄₃	semidirect
701. C₄×SD₁₆	C₂×D₄₃	semidirect
714. #427	C₂×D₄₃	semidirect
717. #416	C₂×D₄₃	semidirect
720. C₂×C₄×C₈	C₂×D₄₃	semidirect
721. C₄₃	#61494	semidirect
964. SD₁₆	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148601	2
#19148556	2
#19147635	2
#19147514	2
#19147289	2
#19147228	2
#19147181	2
#19147091	2
#19146541	2
#19146536	2
#19146446	2
#19146410	2
#19146216	2
#19146135	2
#19145274	2
#19145174	2
#19144863	2
#19144835	2
#19144746	2
#19143570	2
#19143422	2
C₄×#135×C₄₃	2
#61494	43