Subgroups — #25987137

Order 11008.

1650 conjugacy classes of subgroups.

The subgroup lattice has 1074 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149085	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148414	C₂	1	1	yes	maximal, characteristic, complemented
3	#19147537	C₂	1	2	yes	maximal, complemented
4	#19147530	C₂	1	2	yes	maximal, complemented
5	#19147525	C₂	1	1	yes	maximal, characteristic, complemented
6	#19147492	C₂	1	1	yes	maximal, characteristic, complemented
7	#19147468	C₂	1	1	yes	maximal, characteristic, complemented
8	SD₁₆×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
9	#19147419	C₂	1	2	yes	maximal, complemented
10	#19147396	C₂	1	1	yes	maximal, characteristic, complemented
11	#19147330	C₂	1	2	yes	maximal, complemented
12	#19147311	C₂	1	1	yes	maximal, characteristic, complemented
13	#19147278	C₂	1	1	yes	maximal, characteristic, complemented
14	#19147235	C₂	1	1	yes	maximal, characteristic, complemented
15	#19145891	C₂	1	2	yes	maximal, complemented
16	#19145869	C₂	1	2	yes	maximal, complemented
17	#19145822	C₂	1	1	yes	maximal, characteristic, complemented
18	#19145741	C₂	1	1	yes	maximal, characteristic, complemented
19	#19144873	C₂	1	2	yes	maximal
20	#19144802	C₂	1	2	yes	maximal, complemented
21	#19144757	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143689	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3102	C₂	1	1	yes	maximal, characteristic
24	#14583652	—	2	2	no	—
25	Q₈×Dic₈₆	C₂²	1	1	yes	characteristic
26	Q₈×Dic₈₆	C₂²	1	2	yes	—
27	#14583628	C₂²	1	1	yes	characteristic
28	#14583628	C₂²	1	1	yes	characteristic
29	#14583627	C₂²	1	1	yes	characteristic
30	#14583626	C₂²	1	2	yes	—
31	#14583619	—	2	1	no	—
32	#14583619	C₂²	1	1	yes	characteristic
33	#14583618	C₂²	1	2	yes	—
34	#14583606	—	2	2	no	—
35	#14583606	C₂²	1	2	yes	—
36	#14583606	C₂²	1	1	yes	characteristic
37	#14583589	—	2	1	no	—
38	D₄×Dic₈₆	—	2	1	no	—
39	D₄×Dic₈₆	—	2	1	no	—
40	D₄×Dic₈₆	C₂²	1	1	yes	characteristic
41	D₄×Dic₈₆	C₂²	1	1	yes	characteristic
42	#14583527	—	2	1	no	—
43	#14583527	—	2	2	no	—
44	#14583527	C₂²	1	2	yes	—
45	#14583516	C₂²	1	2	yes	—
46	#14583511	—	2	1	no	—
47	#14583509	C₂²	1	2	yes	—
48	#14583506	—	2	2	no	—
49	#14583456	—	2	1	no	—
50	#14583456	C₂²	1	1	yes	characteristic
51	#14583456	C₂²	1	1	yes	characteristic
52	C₂×#13063325	—	2	1	no	—
53	C₂×#13063325	C₂²	1	1	yes	characteristic
54	#14583382	C₂²	1	2	yes	—
55	#14583309	C₂²	1	2	yes	—
56	#14583307	C₂²	1	2	yes	—
57	#14583307	C₂²	1	2	yes	—
58	#14583299	C₂²	1	2	yes	—
59	#14583297	C₂²	1	1	yes	characteristic
60	#14583297	C₂²	1	1	yes	characteristic
61	#14583296	C₂²	1	2	yes	—
62	#14583266	C₂²	1	2	yes	—
63	#14583258	C₂²	1	2	yes	—
64	#14583257	C₂²	1	2	yes	—
65	#14583252	C₂²	1	2	yes	—
66	#14583250	C₂²	1	1	yes	characteristic
67	#14583250	C₂²	1	1	yes	characteristic
68	#14583248	C₂²	1	2	yes	—
69	#14583240	C₂²	1	2	yes	—
70	#14583232	C₂²	1	2	yes	—
71	#14583230	C₂²	1	2	yes	—
72	#14583230	C₂²	1	2	yes	—
73	#14583215	C₂²	1	2	yes	—
74	#14583209	C₂²	1	2	yes	—
75	#14583205	C₂²	1	2	yes	—
76	#14583204	C₂²	1	2	yes	—
77	#14583204	C₂²	1	2	yes	—
78	#14583201	C₂²	1	2	yes	—
79	#14583201	C₂²	1	2	yes	—
80	#14583194	C₂²	1	1	yes	characteristic
81	#14583193	C₂²	1	2	yes	—
82	#14583189	C₂²	1	1	yes	characteristic
83	#14583187	C₂²	1	2	yes	—
84	#14583187	C₂²	1	2	yes	—
85	#14583185	C₂²	1	2	yes	—
86	#14583185	C₂²	1	2	yes	—
87	#14583184	C₂²	1	1	yes	characteristic
88	#14583184	C₂²	1	1	yes	characteristic
89	#14583183	C₂²	1	2	yes	—
90	#14583182	C₂²	1	2	yes	—
91	#14583182	C₂²	1	2	yes	—
92	#14583179	C₂²	1	1	yes	characteristic
93	#14583179	C₂²	1	1	yes	characteristic
94	#14583119	C₂²	1	2	yes	—
95	#14583112	C₂²	1	2	yes	—
96	#14583109	C₂²	1	1	yes	characteristic
97	#14583107	C₂²	1	2	yes	—
98	#14583104	C₂²	1	1	yes	characteristic
99	#14583102	C₂²	1	2	yes	—
100	#14583061	C₂²	1	2	yes	—
101	#14583029	C₂²	1	1	yes	characteristic
102	#14583029	C₂²	1	1	yes	characteristic
103	#14583028	C₂²	1	2	yes	—
104	#14583028	C₂²	1	2	yes	—
105	C₈×Dic₈₆	C₂²	1	1	yes	characteristic
106	C₈×Dic₈₆	C₂²	1	1	yes	characteristic
107	#14583011	C₂²	1	2	yes	—
108	#14583006	C₂²	1	2	yes	—
109	#14583004	C₂²	1	2	yes	—
110	#14583003	C₂²	1	2	yes	—
111	#14582999	C₂²	1	2	yes	—
112	#14582996	C₂²	1	2	yes	—
113	#14582991	C₂²	1	2	yes	—
114	#14582990	C₂²	1	2	yes	—
115	SD₁₆×Dic₄₃	C₂²	1	2	yes	—
116	SD₁₆×Dic₄₃	C₂²	1	2	yes	—
117	#14582957	C₂²	1	2	yes	—
118	#14582957	C₂²	1	2	yes	—
119	#14582956	C₂²	1	1	yes	characteristic
120	C₄₃×#529	C₂²	1	1	yes	characteristic
121	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
122	C₄₃×#485	C₂²	1	1	yes	characteristic
123	C₄₃×#482	C₂²	1	1	yes	characteristic
124	C₄₃×#479	C₂²	1	1	yes	characteristic
125	C₄₃×#478	C₂²	1	1	yes	characteristic
126	C₄₃×#464	C₂²	1	1	yes	characteristic
127	C₄₃×#463	C₂²	1	1	yes	characteristic
128	C₄₃×#452	C₂²	1	1	yes	characteristic
129	C₄₃×#449	C₂²	1	1	yes	characteristic
130	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic
131	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
132	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
133	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic
134	C₄₃×#431	C₂²	1	1	yes	characteristic
135	C₂²×Dic₈₆	—	2	1	no	—
136	C₂²×Dic₈₆	—	2	1	no	—
137	C₂²×Dic₈₆	—	2	1	no	—
138	C₂×#10621885	C₂³	1	2	yes	—
139	C₂×#10621883	C₂³	1	2	yes	—
140	#13063325	—	2	1	no	—
141	#13063325	—	2	1	no	—
142	#13063325	—	2	1	no	—
143	#13063325	—	2	1	no	—
144	#13063325	—	2	2	no	—
145	#13063325	—	2	1	no	—
146	#13063325	—	2	2	no	—
147	#13063325	D₄	1	1	yes	characteristic
148	#13063325	D₄	1	1	yes	characteristic
149	#13063325	C₂³	1	1	yes	characteristic
150	#13063325	C₂³	1	1	yes	characteristic
151	#13063325	C₂³	1	1	yes	characteristic
152	#13063325	C₂³	1	1	yes	characteristic
153	#13063325	C₂³	1	2	yes	—
154	#13063324	—	2	2	no	—
155	#13063324	—	2	2	no	—
156	#13063324	—	2	2	no	—
157	#13063324	—	2	2	no	—
158	#13063324	C₂³	1	2	yes	—
159	#13063324	C₂³	1	2	yes	—
160	#13063324	C₂³	1	2	yes	—
161	#13063323	C₂³	1	2	yes	—
162	#13063318	—	2	2	no	—
163	#13063318	—	2	2	no	—
164	#13063318	—	2	2	no	—
165	#13063318	—	2	2	no	—
166	#13063318	—	2	2	no	—
167	#13063318	—	2	2	no	—
168	#13063317	—	2	1	no	—
169	#13063317	—	2	1	no	—
170	#13063317	—	2	2	no	—
171	#13063317	D₄	1	2	yes	—
172	#13063316	—	2	2	no	—
173	#13063316	—	2	2	no	—
174	#13063316	—	2	2	no	—
175	#13063316	C₂³	1	2	yes	—
176	#13063316	C₂³	1	2	yes	—
177	#13063316	C₂³	1	2	yes	—
178	#13063315	—	2	2	no	—
179	#13063315	—	2	2	no	—
180	#13063315	—	2	2	no	—
181	#13063315	—	2	2	no	—
182	#13063312	—	2	2	no	—
183	#13063312	C₂³	1	2	yes	—
184	#13063306	—	2	2	no	—
185	#13063304	—	2	1	no	—
186	#13063304	—	2	1	no	—
187	#13063304	—	2	2	no	—
188	#13063304	—	2	1	no	—
189	#13063304	—	2	1	no	—
190	#13063304	—	2	1	no	—
191	#13063304	D₄	1	1	yes	characteristic
192	#13063304	D₄	1	1	yes	characteristic
193	#13063304	D₄	1	2	yes	—
194	#13063304	C₂³	1	2	yes	—
195	#13063302	—	2	2	no	—
196	#13063302	—	2	2	no	—
197	#13063302	—	2	2	no	—
198	#13063302	—	2	2	no	—
199	#13063302	—	2	2	no	—
200	#13063302	—	2	2	no	—
201	#13063302	—	2	2	no	—
202	#13063302	—	2	2	no	—
203	#13063302	—	2	2	no	—
204	Q₈×Dic₄₃	C₂³	1	2	yes	—
205	Q₈×Dic₄₃	C₂³	1	2	yes	—
206	Q₈×Dic₄₃	C₂³	1	2	yes	—
207	C₄×Dic₈₆	—	2	1	no	—
208	C₄×Dic₈₆	—	2	2	no	—
209	C₄×Dic₈₆	—	2	1	no	—
210	C₄×Dic₈₆	—	2	1	no	—
211	C₄×Dic₈₆	—	2	1	no	—
212	C₄×Dic₈₆	—	2	1	no	—
213	C₄×Dic₈₆	C₂³	1	2	yes	—
214	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
215	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
216	C₄×Dic₈₆	C₂³	1	2	yes	—
217	#13063290	—	2	2	no	—
218	#13063290	C₂³	1	2	yes	—
219	#13063290	C₂³	1	2	yes	—
220	D₄×Dic₄₃	—	2	2	no	—
221	D₄×Dic₄₃	—	2	2	no	—
222	D₄×Dic₄₃	C₂³	1	2	yes	—
223	D₄×Dic₄₃	C₂³	1	2	yes	—
224	D₄×Dic₄₃	C₂³	1	2	yes	—
225	#13063284	—	2	1	no	—
226	#13063284	—	2	1	no	—
227	#13063284	—	2	2	no	—
228	#13063284	C₂³	1	2	yes	—
229	#13063281	—	2	2	no	—
230	C₂×C₄⋊Dic₄₃	—	2	1	no	—
231	C₂×C₄⋊Dic₄₃	—	2	1	no	—
232	C₂×C₄⋊Dic₄₃	—	2	2	no	—
233	C₂×C₄⋊Dic₄₃	—	2	2	no	—
234	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
235	#13063258	C₂³	1	2	yes	—
236	#13063258	C₂³	1	2	yes	—
237	#13063258	C₂³	1	2	yes	—
238	#13063257	C₂³	1	2	yes	—
239	#13063257	C₂³	1	2	yes	—
240	#13063257	C₂³	1	2	yes	—
241	#13063257	C₂³	1	2	yes	—
242	#13063256	C₂³	1	2	yes	—
243	#13063256	C₂³	1	2	yes	—
244	#13063256	C₂³	1	2	yes	—
245	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
246	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
247	Dic₄₃⋊C₈	C₂³	1	2	yes	—
248	Dic₄₃⋊C₈	C₂³	1	2	yes	—
249	Dic₄₃⋊C₈	C₂³	1	2	yes	—
250	Dic₄₃⋊C₈	C₂³	1	2	yes	—
251	#13063250	C₂³	1	2	yes	—
252	#13063250	C₂³	1	2	yes	—
253	#13063250	C₂³	1	2	yes	—
254	#13063250	C₂³	1	2	yes	—
255	#13063249	C₂³	1	2	yes	—
256	#13063249	C₂³	1	2	yes	—
257	#13063249	C₂³	1	2	yes	—
258	#13063248	C₂³	1	2	yes	—
259	#13063248	C₂³	1	2	yes	—
260	#13063246	C₂³	1	2	yes	—
261	#13063246	C₂³	1	2	yes	—
262	#13063246	C₂³	1	2	yes	—
263	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
264	#13063236	C₂³	1	2	yes	—
265	#13063235	C₂³	1	2	yes	—
266	#13063235	C₂³	1	2	yes	—
267	C₈×Dic₄₃	C₂³	1	2	yes	—
268	C₈×Dic₄₃	C₂³	1	2	yes	—
269	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
270	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
271	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
272	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
273	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
274	#126×C₄₃	—	2	1	no	—
275	#125×C₄₃	C₂³	1	1	yes	characteristic
276	#124×C₄₃	C₂³	1	1	yes	characteristic
277	#123×C₄₃	—	2	1	no	—
278	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
279	#121×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	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
289	#117×C₄₃	—	2	1	no	—
290	#117×C₄₃	—	2	1	no	—
291	#117×C₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₄₃	—	2	1	no	—
293	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
294	#107×C₄₃	C₂³	1	1	yes	characteristic
295	#107×C₄₃	C₂³	1	1	yes	characteristic
296	#106×C₄₃	C₂³	1	1	yes	characteristic
297	#106×C₄₃	C₂³	1	1	yes	characteristic
298	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
299	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
300	#103×C₄₃	C₂³	1	1	yes	characteristic
301	#103×C₄₃	C₂³	1	1	yes	characteristic
302	#103×C₄₃	C₂³	1	1	yes	characteristic
303	#103×C₄₃	C₂³	1	1	yes	characteristic
304	#102×C₄₃	C₂³	1	1	yes	characteristic
305	#102×C₄₃	C₂³	1	1	yes	characteristic
306	#102×C₄₃	C₂³	1	1	yes	characteristic
307	#102×C₄₃	C₂³	1	1	yes	characteristic
308	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
309	C₂²⋊C₈×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	#41×C₄₃	—	2	2	no	—
313	#41×C₄₃	—	2	2	no	—
314	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
315	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
316	C₂×D₄×C₄₃	—	2	1	no	—
317	C₂×D₄×C₄₃	—	2	1	no	—
318	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
319	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₄₃	—	2	1	no	—
321	C₂²×C₄×C₄₃	—	2	1	no	—
322	C₂²×C₄×C₄₃	—	2	1	no	—
323	C₂²×C₄×C₄₃	—	2	1	no	—
324	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
327	C₂²×Dic₄₃	—	2	2	no	—
328	C₂²×Dic₄₃	—	2	2	no	—
329	C₂²×Dic₄₃	—	2	2	no	—
330	C₂²×Dic₄₃	—	2	2	no	—
331	C₂×Dic₈₆	—	2	1	no	—
332	C₂×Dic₈₆	—	2	1	no	—
333	C₂×Dic₈₆	—	2	1	no	—
334	C₂×Dic₈₆	—	2	2	no	—
335	C₂×Dic₈₆	—	2	2	no	—
336	C₂×Dic₈₆	—	2	2	no	—
337	C₂×Dic₈₆	—	2	2	no	—
338	C₂×Dic₈₆	—	8	2	no	—
339	C₂×Dic₈₆	—	8	2	no	—
340	C₂×Dic₈₆	—	8	2	no	—
341	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
342	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
343	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
344	C₂×Dic₈₆	C₂⁴	1	2	yes	—
345	Q₁₆×C₄₃	—	2	2	no	—
346	SD₁₆×C₄₃	—	2	2	no	—
347	SD₁₆×C₄₃	—	2	2	no	—
348	D₈×C₄₃	—	2	2	no	—
349	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
350	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
351	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
352	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
353	C₄⋊C₄×C₄₃	—	2	1	no	—
354	C₄⋊C₄×C₄₃	—	2	1	no	—
355	C₄⋊C₄×C₄₃	—	2	1	no	—
356	C₄⋊C₄×C₄₃	—	2	1	no	—
357	C₄⋊C₄×C₄₃	—	2	1	no	—
358	C₄⋊C₄×C₄₃	—	2	1	no	—
359	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
360	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
361	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
362	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
363	C₂²⋊C₄×C₄₃	—	2	1	no	—
364	C₂²⋊C₄×C₄₃	—	2	1	no	—
365	C₂²⋊C₄×C₄₃	—	2	1	no	—
366	C₂²⋊C₄×C₄₃	—	2	1	no	—
367	C₂²⋊C₄×C₄₃	—	2	1	no	—
368	C₂²⋊C₄×C₄₃	—	2	1	no	—
369	C₂²⋊C₄×C₄₃	—	2	1	no	—
370	C₂²⋊C₄×C₄₃	—	2	1	no	—
371	C₄²×C₄₃	—	2	1	no	—
372	C₄²×C₄₃	—	2	1	no	—
373	C₄²×C₄₃	—	2	1	no	—
374	C₄²×C₄₃	—	2	1	no	—
375	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
376	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
377	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₂²⋊Dic₄₃	—	2	2	no	—
380	C₂²⋊Dic₄₃	—	2	2	no	—
381	C₂²⋊Dic₄₃	—	2	2	no	—
382	C₂²⋊Dic₄₃	—	2	2	no	—
383	C₂²⋊Dic₄₃	—	2	2	no	—
384	C₂²⋊Dic₄₃	—	2	2	no	—
385	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
386	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
387	#10621885	—	2	4	no	—
388	#10621883	—	2	4	no	—
389	C₄⋊Dic₄₃	—	2	2	no	—
390	C₄⋊Dic₄₃	—	2	2	no	—
391	C₄⋊Dic₄₃	—	2	1	no	—
392	C₄⋊Dic₄₃	—	2	1	no	—
393	C₄⋊Dic₄₃	—	2	1	no	—
394	C₄⋊Dic₄₃	—	2	1	no	—
395	C₄⋊Dic₄₃	—	2	1	no	—
396	C₄⋊Dic₄₃	—	2	2	no	—
397	C₄⋊Dic₄₃	—	2	2	no	—
398	C₄⋊Dic₄₃	—	2	2	no	—
399	C₄⋊Dic₄₃	—	2	2	no	—
400	C₄⋊Dic₄₃	—	2	2	no	—
401	C₄⋊Dic₄₃	—	2	2	no	—
402	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
403	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
404	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
405	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
406	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
407	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
408	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
409	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
410	Dic₄₃⋊C₄	—	2	2	no	—
411	Dic₄₃⋊C₄	—	2	2	no	—
412	Dic₄₃⋊C₄	—	2	2	no	—
413	Dic₄₃⋊C₄	—	2	2	no	—
414	Dic₄₃⋊C₄	—	2	2	no	—
415	Dic₄₃⋊C₄	—	2	2	no	—
416	Dic₄₃⋊C₄	—	2	2	no	—
417	Dic₄₃⋊C₄	—	2	2	no	—
418	Dic₄₃⋊C₄	—	2	2	no	—
419	Dic₄₃⋊C₄	—	2	2	no	—
420	Dic₄₃⋊C₄	—	2	2	no	—
421	Dic₄₃⋊C₄	—	2	2	no	—
422	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
423	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
424	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
425	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
426	C₄×Dic₄₃	—	2	2	no	—
427	C₄×Dic₄₃	—	2	2	no	—
428	C₄×Dic₄₃	—	2	2	no	—
429	C₄×Dic₄₃	—	2	2	no	—
430	C₄×Dic₄₃	—	2	2	no	—
431	C₄×Dic₄₃	—	2	2	no	—
432	C₄×Dic₄₃	C₂⁴	1	2	yes	—
433	C₄×Dic₄₃	C₂⁴	1	2	yes	—
434	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
435	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
436	C₂³×C₄₃	—	2	1	no	—
437	C₂³×C₄₃	—	2	1	no	—
438	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
439	Q₈×C₄₃	—	2	1	no	—
440	Q₈×C₄₃	—	2	1	no	—
441	Q₈×C₄₃	—	2	1	no	—
442	Q₈×C₄₃	2₋¹⁺⁴	1	2	yes	—
443	D₄×C₄₃	—	2	4	no	—
444	D₄×C₄₃	—	2	1	no	—
445	D₄×C₄₃	—	2	1	no	—
446	D₄×C₄₃	—	2	1	no	—
447	D₄×C₄₃	—	8	1	no	—
448	D₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
449	C₂×C₄×C₄₃	—	2	4	no	—
450	C₂×C₄×C₄₃	—	2	1	no	—
451	C₂×C₄×C₄₃	—	2	2	no	—
452	C₂×C₄×C₄₃	—	2	1	no	—
453	C₂×C₄×C₄₃	—	2	1	no	—
454	C₂×C₄×C₄₃	—	2	1	no	—
455	C₂×C₄×C₄₃	—	2	1	no	—
456	C₂×C₄×C₄₃	—	2	1	no	—
457	C₂×C₄×C₄₃	—	2	1	no	—
458	C₂×C₄×C₄₃	—	2	1	no	—
459	C₂×C₄×C₄₃	—	4	1	no	—
460	C₂×C₄×C₄₃	—	4	2	no	—
461	C₂×C₄×C₄₃	—	4	2	no	—
462	C₂×C₄×C₄₃	—	4	2	no	—
463	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
464	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
465	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
466	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
467	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
468	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
469	C₂×Dic₄₃	—	2	2	no	—
470	C₂×Dic₄₃	—	2	2	no	—
471	C₂×Dic₄₃	—	2	2	no	—
472	C₂×Dic₄₃	—	2	2	no	—
473	C₂×Dic₄₃	—	8	2	no	—
474	C₂×Dic₄₃	—	8	2	no	—
475	C₂×Dic₄₃	—	8	2	no	—
476	C₂×Dic₄₃	—	8	2	no	—
477	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
478	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
479	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
480	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
481	Dic₈₆	—	2	2	no	—
482	Dic₈₆	—	2	2	no	—
483	Dic₈₆	—	2	2	no	—
484	Dic₈₆	—	2	2	no	—
485	Dic₈₆	—	4	2	no	—
486	Dic₈₆	—	4	2	no	—
487	Dic₈₆	—	4	2	no	—
488	Dic₈₆	—	8	2	no	—
489	Dic₈₆	—	8	2	no	—
490	Dic₈₆	—	8	2	no	—
491	Dic₈₆	—	8	1	no	—
492	Dic₈₆	—	8	2	no	—
493	C₈×C₄₃	—	2	1	no	—
494	C₈×C₄₃	—	2	1	no	—
495	C₈×C₄₃	—	2	1	no	—
496	C₈×C₄₃	—	2	1	no	—
497	C₄₃⋊C₈	—	2	2	no	—
498	C₄₃⋊C₈	—	2	2	no	—
499	#61858	—	43	1	no	maximal, Sylow
500	C₂²×C₄₃	—	2	1	no	—
501	C₂²×C₄₃	—	2	2	no	—
502	C₂²×C₄₃	—	2	1	no	—
503	C₂²×C₄₃	—	2	1	no	—
504	C₂²×C₄₃	—	4	1	no	—
505	C₂²×C₄₃	—	4	1	no	—
506	C₂²×C₄₃	—	4	1	no	—
507	C₂²×C₄₃	—	4	1	no	—
508	C₂²×C₄₃	—	4	1	no	—
509	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
510	C₄×C₄₃	—	2	1	no	—
511	C₄×C₄₃	—	2	1	no	—
512	C₄×C₄₃	—	2	1	no	—
513	C₄×C₄₃	—	2	2	no	—
514	C₄×C₄₃	—	2	1	no	—
515	C₄×C₄₃	—	4	1	no	—
516	C₄×C₄₃	—	4	1	no	—
517	C₄×C₄₃	—	4	1	no	—
518	C₄×C₄₃	—	4	1	no	—
519	C₄×C₄₃	—	4	1	no	—
520	C₄×C₄₃	#577	1	2	yes	—
521	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
522	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
523	Dic₄₃	—	2	2	no	—
524	Dic₄₃	—	2	2	no	—
525	Dic₄₃	—	2	2	no	—
526	Dic₄₃	—	2	2	no	—
527	Dic₄₃	—	4	2	no	—
528	Dic₄₃	—	4	2	no	—
529	Dic₄₃	—	4	2	no	—
530	Dic₄₃	—	4	2	no	—
531	#3555	—	43	1	no	—
532	#3503	—	43	1	no	—
533	#3388	—	43	2	no	—
534	#3387	—	43	2	no	—
535	#3387	—	43	1	no	—
536	#3384	—	43	1	no	—
537	#3381	—	43	1	no	—
538	Q₈×SD₁₆	—	43	1	no	—
539	#3376	—	43	2	no	—
540	#3374	—	43	1	no	—
541	#3369	—	43	2	no	—
542	#3367	—	43	1	no	—
543	#3364	—	43	1	no	—
544	#3359	—	43	1	no	—
545	#3244	—	43	2	no	—
546	#3242	—	43	2	no	—
547	#3239	—	43	1	no	—
548	#3229	—	43	1	no	—
549	#3125	—	43	2	no	—
550	#3120	—	43	2	no	—
551	#3116	—	43	1	no	—
552	#3102	D₄₃	1	1	yes	characteristic
553	#2985	—	43	1	no	—
554	C₂×C₄₃	—	4	1	no	—
555	C₂×C₄₃	—	4	2	no	—
556	C₂×C₄₃	—	8	1	no	—
557	C₂×C₄₃	#3486	1	1	yes	characteristic
558	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
559	C₂×C₄₃	#3586	1	1	yes	characteristic
560	#563	—	86	2	no	—
561	Q₈²	—	43	2	no	—
562	Q₈²	—	43	1	no	—
563	#557	—	43	2	no	—
564	#557	—	43	1	no	—
565	#557	—	43	1	no	—
566	#557	—	43	1	no	—
567	#556	—	43	2	no	—
568	#556	—	43	1	no	—
569	#556	—	86	1	no	—
570	#554	—	43	2	no	—
571	#554	—	43	1	no	—
572	#554	—	86	2	no	—
573	#552	—	86	1	no	—
574	D₄×Q₈	—	43	1	no	—
575	D₄×Q₈	—	43	1	no	—
576	D₄×Q₈	—	86	1	no	—
577	D₄×Q₈	—	86	1	no	—
578	#544	—	43	2	no	—
579	#544	—	86	2	no	—
580	#544	—	86	1	no	—
581	#542	—	43	2	no	—
582	#541	—	43	2	no	—
583	#541	—	86	1	no	—
584	#541	—	86	2	no	—
585	#533	—	43	1	no	—
586	#533	—	43	1	no	—
587	#533	—	86	1	no	—
588	C₂×C₄⋊Q₈	—	43	1	no	—
589	C₂×C₄⋊Q₈	—	86	1	no	—
590	#529	C₂×D₄₃	1	1	yes	characteristic
591	#520	—	43	2	no	—
592	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
593	#501	—	43	2	no	—
594	#501	—	43	2	no	—
595	#501	—	43	2	no	—
596	#499	—	43	2	no	—
597	#498	—	43	2	no	—
598	#498	—	43	1	no	—
599	#498	—	43	1	no	—
600	#491	—	43	2	no	—
601	#489	—	43	2	no	—
602	#489	—	43	2	no	—
603	#488	—	43	2	no	—
604	#487	—	43	2	no	—
605	#487	—	43	1	no	—
606	#487	—	43	1	no	—
607	#485	—	43	2	no	—
608	#485	C₂×D₄₃	1	1	yes	characteristic
609	#484	—	43	2	no	—
610	#483	—	43	2	no	—
611	#483	—	43	2	no	—
612	#482	C₂×D₄₃	1	1	yes	characteristic
613	#481	—	43	2	no	—
614	#479	—	43	2	no	—
615	#479	—	43	2	no	—
616	#479	—	43	2	no	—
617	#479	—	43	2	no	—
618	#479	C₂×D₄₃	1	1	yes	characteristic
619	#478	—	43	2	no	—
620	#478	—	43	2	no	—
621	#478	C₂×D₄₃	1	1	yes	characteristic
622	#477	—	43	1	no	—
623	#477	—	43	2	no	—
624	#476	—	43	1	no	—
625	#476	—	43	2	no	—
626	#476	—	43	2	no	—
627	#475	—	43	1	no	—
628	#475	—	43	1	no	—
629	#475	—	43	2	no	—
630	#475	—	43	2	no	—
631	#475	—	43	2	no	—
632	#475	—	43	2	no	—
633	#475	—	43	2	no	—
634	#474	—	43	1	no	—
635	#474	—	43	1	no	—
636	#464	—	43	2	no	—
637	#464	C₂×D₄₃	1	1	yes	characteristic
638	#463	—	43	2	no	—
639	#463	C₂×D₄₃	1	1	yes	characteristic
640	#462	—	43	2	no	—
641	#462	—	43	1	no	—
642	#461	—	43	2	no	—
643	#461	—	43	1	no	—
644	#452	—	43	2	no	—
645	#452	C₂×D₄₃	1	1	yes	characteristic
646	#449	C₂×D₄₃	1	1	yes	characteristic
647	#446	—	43	2	no	—
648	#446	—	43	2	no	—
649	#446	—	43	1	no	—
650	#446	—	43	1	no	—
651	C₈×Q₈	—	43	1	no	—
652	C₈×Q₈	—	43	1	no	—
653	#442	—	43	2	no	—
654	#441	—	43	2	no	—
655	#441	—	43	2	no	—
656	#441	—	43	2	no	—
657	#440	—	43	2	no	—
658	#440	—	43	2	no	—
659	C₄×Q₁₆	—	43	2	no	—
660	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic
661	C₄×SD₁₆	—	43	2	no	—
662	C₄×SD₁₆	—	43	2	no	—
663	C₄×SD₁₆	—	43	2	no	—
664	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
665	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
666	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic
667	#433	—	43	2	no	—
668	#433	—	43	2	no	—
669	#432	—	43	1	no	—
670	#431	C₂×D₄₃	1	1	yes	characteristic
671	C₄₃	#61858	1	1	yes	characteristic, complemented, Sylow
672	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
673	C₂²×Q₈	—	86	1	no	—
674	C₂²×Q₈	—	86	1	no	—
675	C₂²×Q₈	—	86	1	no	—
676	C₂×Q₁₆	—	43	2	no	—
677	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
678	C₂×SD₁₆	—	43	2	no	—
679	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
680	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
681	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
682	C₄⋊Q₈	—	43	2	no	—
683	C₄⋊Q₈	—	43	2	no	—
684	C₄⋊Q₈	—	43	2	no	—
685	C₄⋊Q₈	—	43	2	no	—
686	C₄⋊Q₈	—	43	1	no	—
687	C₄⋊Q₈	—	43	1	no	—
688	C₄⋊Q₈	—	43	1	no	—
689	C₄⋊Q₈	—	43	1	no	—
690	C₄⋊Q₈	—	43	2	no	—
691	C₄⋊Q₈	—	43	1	no	—
692	C₄⋊Q₈	—	43	1	no	—
693	C₄⋊Q₈	—	86	2	no	—
694	C₄⋊Q₈	—	86	2	no	—
695	C₄⋊Q₈	—	86	1	no	—
696	C₄⋊Q₈	—	86	1	no	—
697	C₄⋊Q₈	—	86	1	no	—
698	C₄⋊Q₈	—	86	2	no	—
699	C₄⋊Q₈	—	86	2	no	—
700	C₄⋊Q₈	—	86	2	no	—
701	C₄⋊Q₈	—	86	2	no	—
702	C₄⋊Q₈	—	86	1	no	—
703	C₄⋊Q₈	—	86	1	no	—
704	#126	—	2	1	no	—
705	#126	—	86	2	no	—
706	#126	—	86	2	no	—
707	#126	—	86	2	no	—
708	#126	—	86	2	no	—
709	#126	—	86	2	no	—
710	#126	—	86	2	no	—
711	#125	—	43	2	no	—
712	#125	—	43	2	no	—
713	#125	—	43	2	no	—
714	#125	—	43	2	no	—
715	#125	—	86	2	no	—
716	#125	—	86	1	no	—
717	#125	—	86	2	no	—
718	#125	—	86	2	no	—
719	#125	—	86	2	no	—
720	#125	—	86	2	no	—
721	#125	—	86	2	no	—
722	#125	—	86	2	no	—
723	#125	—	86	2	no	—
724	#125	—	86	1	no	—
725	#125	C₂²×D₄₃	1	1	yes	characteristic
726	#124	—	43	2	no	—
727	#124	—	86	2	no	—
728	#124	C₂²×D₄₃	1	1	yes	characteristic
729	#123	—	2	1	no	—
730	#123	—	86	2	no	—
731	C₂²⋊Q₈	—	43	1	no	—
732	C₂²⋊Q₈	—	43	1	no	—
733	C₂²⋊Q₈	—	43	2	no	—
734	C₂²⋊Q₈	—	43	2	no	—
735	C₂²⋊Q₈	—	86	2	no	—
736	C₂²⋊Q₈	—	86	2	no	—
737	C₂²⋊Q₈	—	86	2	no	—
738	C₂²⋊Q₈	—	86	2	no	—
739	C₂²⋊Q₈	—	86	2	no	—
740	C₂²⋊Q₈	—	86	2	no	—
741	C₂²⋊Q₈	—	86	2	no	—
742	C₂²⋊Q₈	—	86	2	no	—
743	C₂²⋊Q₈	—	86	2	no	—
744	C₂²⋊Q₈	—	86	1	no	—
745	C₂²⋊Q₈	—	86	1	no	—
746	C₂²⋊Q₈	—	86	2	no	—
747	C₂²⋊Q₈	—	86	1	no	—
748	C₂²⋊Q₈	—	86	1	no	—
749	C₂²⋊Q₈	—	86	1	no	—
750	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
751	#121	C₂²×D₄₃	1	1	yes	characteristic
752	C₄×Q₈	—	43	1	no	—
753	C₄×Q₈	—	43	1	no	—
754	C₄×Q₈	—	43	2	no	—
755	C₄×Q₈	—	43	2	no	—
756	C₄×Q₈	—	43	2	no	—
757	C₄×Q₈	—	43	2	no	—
758	C₄×Q₈	—	43	2	no	—
759	C₄×Q₈	—	43	2	no	—
760	C₄×Q₈	—	43	2	no	—
761	C₄×Q₈	—	86	1	no	—
762	C₄×Q₈	—	86	1	no	—
763	C₄×Q₈	—	86	2	no	—
764	C₄×Q₈	—	86	1	no	—
765	C₄×Q₈	—	86	1	no	—
766	C₄×Q₈	—	86	2	no	—
767	C₄×Q₈	—	86	1	no	—
768	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
769	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
770	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
771	C₄×D₄	—	2	1	no	—
772	C₄×D₄	—	2	1	no	—
773	C₄×D₄	—	2	1	no	—
774	C₄×D₄	—	43	2	no	—
775	C₄×D₄	—	43	2	no	—
776	C₄×D₄	—	43	2	no	—
777	C₄×D₄	—	86	2	no	—
778	C₄×D₄	—	86	2	no	—
779	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
780	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
781	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
782	#117	—	2	1	no	—
783	#117	—	2	1	no	—
784	#117	—	43	2	no	—
785	#117	—	86	2	no	—
786	#117	—	86	2	no	—
787	#117	—	86	1	no	—
788	#117	—	86	1	no	—
789	#117	C₂²×D₄₃	1	1	yes	characteristic
790	C₂×C₄⋊C₄	—	43	2	no	—
791	C₂×C₄⋊C₄	—	86	2	no	—
792	C₂×C₄⋊C₄	—	86	2	no	—
793	C₂×C₄⋊C₄	—	86	1	no	—
794	C₂×C₄⋊C₄	—	86	1	no	—
795	C₂×C₄²	—	2	1	no	—
796	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
797	#107	—	43	2	no	—
798	#107	—	43	2	no	—
799	#107	—	43	2	no	—
800	#107	C₂²×D₄₃	1	1	yes	characteristic
801	#107	C₂²×D₄₃	1	1	yes	characteristic
802	#106	—	43	2	no	—
803	#106	—	43	2	no	—
804	#106	—	43	2	no	—
805	#106	—	43	2	no	—
806	#106	—	43	2	no	—
807	#106	—	43	2	no	—
808	#106	—	43	2	no	—
809	#106	C₂²×D₄₃	1	1	yes	characteristic
810	#106	C₂²×D₄₃	1	1	yes	characteristic
811	C₄⋊C₈	—	43	2	no	—
812	C₄⋊C₈	—	43	2	no	—
813	C₄⋊C₈	—	43	2	no	—
814	C₄⋊C₈	—	43	2	no	—
815	C₄⋊C₈	—	43	1	no	—
816	C₄⋊C₈	—	43	1	no	—
817	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
818	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
819	#103	—	43	2	no	—
820	#103	—	43	2	no	—
821	#103	—	43	2	no	—
822	#103	—	43	2	no	—
823	#103	—	43	2	no	—
824	#103	—	43	2	no	—
825	#103	—	43	2	no	—
826	#103	—	43	2	no	—
827	#103	—	43	2	no	—
828	#103	C₂²×D₄₃	1	1	yes	characteristic
829	#103	C₂²×D₄₃	1	1	yes	characteristic
830	#103	C₂²×D₄₃	1	1	yes	characteristic
831	#103	C₂²×D₄₃	1	1	yes	characteristic
832	#102	—	43	2	no	—
833	#102	—	43	2	no	—
834	#102	—	43	2	no	—
835	#102	C₂²×D₄₃	1	1	yes	characteristic
836	#102	C₂²×D₄₃	1	1	yes	characteristic
837	#102	C₂²×D₄₃	1	1	yes	characteristic
838	#102	C₂²×D₄₃	1	1	yes	characteristic
839	C₂²⋊C₈	—	43	2	no	—
840	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
841	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
842	#97	—	43	2	no	—
843	#97	—	43	2	no	—
844	#97	—	43	2	no	—
845	C₄×C₈	—	43	2	no	—
846	C₄×C₈	—	43	2	no	—
847	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
848	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
849	#41	—	2	2	no	—
850	#41	—	2	2	no	—
851	C₂×Q₈	—	43	1	no	—
852	C₂×Q₈	—	43	1	no	—
853	C₂×Q₈	—	43	2	no	—
854	C₂×Q₈	—	43	2	no	—
855	C₂×Q₈	—	86	2	no	—
856	C₂×Q₈	—	86	2	no	—
857	C₂×Q₈	—	86	2	no	—
858	C₂×Q₈	—	86	1	no	—
859	C₂×Q₈	—	86	2	no	—
860	C₂×Q₈	—	86	1	no	—
861	C₂×Q₈	—	86	1	no	—
862	C₂×Q₈	—	344	2	no	—
863	C₂×Q₈	—	344	2	no	—
864	C₂×Q₈	—	344	2	no	—
865	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
866	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
867	C₂×D₄	—	2	1	no	—
868	C₂×D₄	—	2	1	no	—
869	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
870	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
871	C₂²×C₄	—	2	1	no	—
872	C₂²×C₄	—	2	1	no	—
873	C₂²×C₄	—	2	1	no	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	86	2	no	—
876	C₂²×C₄	—	86	2	no	—
877	C₂²×C₄	—	86	2	no	—
878	C₂²×C₄	—	86	2	no	—
879	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
880	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
881	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
882	Q₁₆	—	2	2	no	—
883	Q₁₆	—	86	4	no	—
884	SD₁₆	—	2	2	no	—
885	SD₁₆	—	2	2	no	—
886	SD₁₆	—	86	4	no	—
887	D₈	—	2	2	no	—
888	C₂×C₈	—	43	2	no	—
889	C₂×C₈	—	43	2	no	—
890	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
891	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
892	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
893	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
894	C₄⋊C₄	—	2	1	no	—
895	C₄⋊C₄	—	2	1	no	—
896	C₄⋊C₄	—	2	1	no	—
897	C₄⋊C₄	—	2	1	no	—
898	C₄⋊C₄	—	2	1	no	—
899	C₄⋊C₄	—	2	1	no	—
900	C₄⋊C₄	—	43	2	no	—
901	C₄⋊C₄	—	43	1	no	—
902	C₄⋊C₄	—	43	2	no	—
903	C₄⋊C₄	—	43	2	no	—
904	C₄⋊C₄	—	43	1	no	—
905	C₄⋊C₄	—	43	2	no	—
906	C₄⋊C₄	—	43	2	no	—
907	C₄⋊C₄	—	43	2	no	—
908	C₄⋊C₄	—	43	2	no	—
909	C₄⋊C₄	—	43	2	no	—
910	C₄⋊C₄	—	43	2	no	—
911	C₄⋊C₄	—	43	2	no	—
912	C₄⋊C₄	—	86	2	no	—
913	C₄⋊C₄	—	86	2	no	—
914	C₄⋊C₄	—	86	2	no	—
915	C₄⋊C₄	—	86	2	no	—
916	C₄⋊C₄	—	86	2	no	—
917	C₄⋊C₄	—	86	2	no	—
918	C₄⋊C₄	—	86	2	no	—
919	C₄⋊C₄	—	86	2	no	—
920	C₄⋊C₄	—	86	2	no	—
921	C₄⋊C₄	—	86	2	no	—
922	C₄⋊C₄	—	86	2	no	—
923	C₄⋊C₄	—	86	2	no	—
924	C₄⋊C₄	—	86	2	no	—
925	C₄⋊C₄	—	86	2	no	—
926	C₄⋊C₄	—	86	2	no	—
927	C₄⋊C₄	—	86	2	no	—
928	C₄⋊C₄	—	86	2	no	—
929	C₄⋊C₄	—	86	2	no	—
930	C₄⋊C₄	—	86	1	no	—
931	C₄⋊C₄	—	86	1	no	—
932	C₄⋊C₄	—	86	1	no	—
933	C₄⋊C₄	—	86	1	no	—
934	C₄⋊C₄	—	86	2	no	—
935	C₄⋊C₄	—	86	2	no	—
936	C₄⋊C₄	—	86	1	no	—
937	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
938	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
939	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
940	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
941	C₂²⋊C₄	—	2	1	no	—
942	C₂²⋊C₄	—	2	1	no	—
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	—	43	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	C₄²	—	2	1	no	—
958	C₄²	—	2	1	no	—
959	C₄²	—	2	1	no	—
960	C₄²	—	2	1	no	—
961	C₄²	—	43	2	no	—
962	C₄²	—	43	2	no	—
963	C₄²	—	86	2	no	—
964	C₄²	—	86	2	no	—
965	C₄²	—	86	2	no	—
966	C₄²	—	86	2	no	—
967	C₄²	—	86	2	no	—
968	C₄²	—	86	2	no	—
969	C₄²	D₄×D₄₃	1	1	yes	characteristic
970	C₄²	D₄×D₄₃	1	1	yes	characteristic
971	C₄²	C₂³×D₄₃	1	1	yes	characteristic
972	C₄²	C₂³×D₄₃	1	1	yes	characteristic
973	C₂³	—	2	1	no	—
974	C₂³	—	2	1	no	—
975	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
976	Q₈	—	2	1	no	—
977	Q₈	—	2	1	no	—
978	Q₈	—	2	1	no	—
979	Q₈	—	86	2	no	—
980	Q₈	—	86	2	no	—
981	Q₈	—	86	2	no	—
982	Q₈	—	86	2	no	—
983	Q₈	—	344	2	no	—
984	Q₈	—	344	1	no	—
985	Q₈	—	344	2	no	—
986	Q₈	—	344	2	no	—
987	Q₈	—	344	2	no	—
988	Q₈	—	172	2	no	—
989	Q₈	—	172	2	no	—
990	Q₈	—	172	2	no	—
991	Q₈	#13063372	1	2	yes	—
992	D₄	—	2	4	no	—
993	D₄	—	2	1	no	—
994	D₄	—	2	1	no	—
995	D₄	—	2	1	no	—
996	D₄	—	8	1	no	—
997	D₄	#13063372	1	2	yes	—
998	C₂×C₄	—	2	4	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	4	1	no	—
1009	C₂×C₄	—	4	2	no	—
1010	C₂×C₄	—	4	2	no	—
1011	C₂×C₄	—	4	2	no	—
1012	C₂×C₄	—	43	2	no	—
1013	C₂×C₄	—	43	2	no	—
1014	C₂×C₄	—	43	2	no	—
1015	C₂×C₄	—	43	2	no	—
1016	C₂×C₄	—	86	2	no	—
1017	C₂×C₄	—	86	2	no	—
1018	C₂×C₄	—	86	2	no	—
1019	C₂×C₄	—	86	2	no	—
1020	C₂×C₄	—	344	2	no	—
1021	C₂×C₄	—	344	2	no	—
1022	C₂×C₄	—	344	2	no	—
1023	C₂×C₄	—	344	2	no	—
1024	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1025	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1026	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1027	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1028	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1029	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1030	C₈	—	2	1	no	—
1031	C₈	—	2	1	no	—
1032	C₈	—	2	1	no	—
1033	C₈	—	2	1	no	—
1034	C₈	—	86	2	no	—
1035	C₈	—	86	2	no	—
1036	C₂²	—	2	1	no	—
1037	C₂²	—	2	1	no	—
1038	C₂²	—	2	1	no	—
1039	C₂²	—	2	2	no	—
1040	C₂²	—	4	1	no	—
1041	C₂²	—	4	1	no	—
1042	C₂²	—	4	1	no	—
1043	C₂²	—	4	1	no	—
1044	C₂²	—	4	1	no	—
1045	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1046	C₄	—	2	1	no	—
1047	C₄	—	2	1	no	—
1048	C₄	—	2	1	no	—
1049	C₄	—	2	1	no	—
1050	C₄	—	2	2	no	—
1051	C₄	—	4	1	no	—
1052	C₄	—	4	1	no	—
1053	C₄	—	4	1	no	—
1054	C₄	—	4	1	no	—
1055	C₄	—	4	1	no	—
1056	C₄	—	86	2	no	—
1057	C₄	—	86	2	no	—
1058	C₄	—	86	2	no	—
1059	C₄	—	86	2	no	—
1060	C₄	—	172	2	no	—
1061	C₄	—	172	2	no	—
1062	C₄	—	172	2	no	—
1063	C₄	—	172	2	no	—
1064	C₄	#14583706	1	2	yes	—
1065	C₄	C₂×#13063372	1	1	yes	characteristic
1066	C₄	C₂×#13063372	1	1	yes	characteristic
1067	C₂	—	4	1	no	—
1068	C₂	—	4	2	no	—
1069	C₂	—	8	1	no	—
1070	C₂	#19148242	1	1	yes	characteristic
1071	C₂	C₂×#14583706	1	1	yes	characteristic
1072	C₂	#19149379	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3102	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	C₄₃×#449	C₂²
hypercenter	#3102	D₄₃
hypocenter	C₄₃	#61858
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3102

Complements

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

N	H ≅ G/N	type
1. #19149085	C₂	semidirect
2. #19148414	C₂	semidirect
3. #19147537	C₂	semidirect
4. #19147530	C₂	semidirect
5. #19147525	C₂	semidirect
6. #19147492	C₂	semidirect
7. #19147468	C₂	semidirect
8. SD₁₆×Dic₈₆	C₂	semidirect
9. #19147419	C₂	semidirect
10. #19147396	C₂	semidirect
11. #19147330	C₂	semidirect
12. #19147311	C₂	semidirect
13. #19147278	C₂	semidirect
14. #19147235	C₂	semidirect
15. #19145891	C₂	semidirect
16. #19145869	C₂	semidirect
17. #19145822	C₂	semidirect
18. #19145741	C₂	semidirect
20. #19144802	C₂	semidirect
21. #19144757	C₂	semidirect
22. #19143689	C₂	semidirect
671. C₄₃	#61858	semidirect

Maximal subgroups

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

subgroup	index
#19149085	2
#19148414	2
#19147537	2
#19147530	2
#19147525	2
#19147492	2
#19147468	2
SD₁₆×Dic₈₆	2
#19147419	2
#19147396	2
#19147330	2
#19147311	2
#19147278	2
#19147235	2
#19145891	2
#19145869	2
#19145822	2
#19145741	2
#19144873	2
#19144802	2
#19144757	2
#19143689	2
C₄₃×#3102	2
#61858	43