Finite Group Databasebeta

← #16744977

Subgroups — #16744977

Order 3328.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128446C211yesmaximal, characteristic, complemented
2#13128429C211yesmaximal, characteristic, complemented
3#13127926C211yesmaximal, characteristic, complemented
4#13127783C211yesmaximal, characteristic, complemented
5#13127606C211yesmaximal, characteristic, complemented
6#13127591C211yesmaximal, characteristic, complemented
7#13127383C211yesmaximal, characteristic, complemented
8#13127323C211yesmaximal, characteristic, complemented
9#13127239C211yesmaximal, characteristic, complemented
10#13126979C211yesmaximal, characteristic, complemented
11#13126949C211yesmaximal, characteristic, complemented
12#13126874C211yesmaximal, characteristic, complemented
13#13126844C211yesmaximal, characteristic, complemented
14#13126740C211yesmaximal, characteristic, complemented
15#13126688C211yesmaximal, characteristic, complemented
16#13126548C211yesmaximal, characteristic, complemented
17#13126381C211yesmaximal, characteristic, complemented
18#13126336C211yesmaximal, characteristic, complemented
19#13125565C211yesmaximal, characteristic, complemented
20#13125534C211yesmaximal, characteristic, complemented
21#13125534C211yesmaximal, characteristic, complemented
22#13125009C211yesmaximal, characteristic, complemented
23#13124988C211yesmaximal, characteristic, complemented
24#13124976C211yesmaximal, characteristic, complemented
25#13124947C211yesmaximal, characteristic, complemented
26#13124947C211yesmaximal, characteristic, complemented
27#13124928C211yesmaximal, characteristic, complemented
28C4×#88162C211yesmaximal, characteristic, complemented
29#13123638C211yesmaximal, characteristic, complemented
30C2×#11718371C211yesmaximal, characteristic, complemented
31C13×#2970C211yesmaximal, characteristic, complemented
32C4×C13×#41C2211yescharacteristic
33#11719537—21no—
34#11719534—21no—
35C2×#88162C2211yescharacteristic
36C2×#88158C2211yescharacteristic
37C22×#6095C2211yescharacteristic
38#11719290C2211yescharacteristic
39#11719290C2211yescharacteristic, complemented
40#11719285—21no—
41#11719284C2211yescharacteristic
42#11719273—21no—
43#11719272C2211yescharacteristic, complemented
44#11719270C2211yescharacteristic
45#11719270C2211yescharacteristic
46#11719270C2211yescharacteristic
47#11719270C2211yescharacteristic, complemented
48#11719264—21no—
49#11719258C2211yescharacteristic, complemented
50#11719257C2211yescharacteristic
51#11719257C2211yescharacteristic, complemented
52#11719255C2211yescharacteristic
53#11719255C2211yescharacteristic
54D4×D52C2211yescharacteristic
55#11719252—21no—
56#11719252—21no—
57C4×D4×D13—21no—
58#11719248C2211yescharacteristic
59#11719247C2211yescharacteristic, complemented
60#11719245—21no—
61#11719245—21no—
62#11719235—21no—
63#11719233—21no—
64#11719233—21no—
65#11719232—21no—
66#11719232—21no—
67#11719227—21no—
68#11719184C2211yescharacteristic
69#11719184C2211yescharacteristic
70#11719184C2211yescharacteristic, complemented
71#11719184C2211yescharacteristic, complemented
72#11719182C2211yescharacteristic
73#11719182C2211yescharacteristic, complemented
74C4×#6127C2211yescharacteristic
75C4×#6127C2211yescharacteristic, complemented
76C4×#6127C2211yescharacteristic, complemented
77C2×C4×D52C2211yescharacteristic
78C2×C4×D52C2211yescharacteristic
79C2×C4×Dic26C2211yescharacteristic, complemented
80C13×#446C2211yescharacteristic, complemented
81C13×#446C2211yescharacteristic, complemented
82C13×#435C2211yescharacteristic
83C13×#435C2211yescharacteristic
84C13×#435C2211yescharacteristic, complemented
85C13×#435C2211yescharacteristic, complemented
86C8×D4×C13C2211yescharacteristic, complemented
87C8×D4×C13C2211yescharacteristic, complemented
88C13×#432C2211yescharacteristic, complemented
89C13×#432C2211yescharacteristic, complemented
90C13×#432C2211yescharacteristic, complemented
91C4×C13×M16C2211yescharacteristic, complemented
92C2×C13×#97C2211yescharacteristic, complemented
93C2×C13×#97C2211yescharacteristic, complemented
94#11718798C2211yescharacteristic, complemented
95#11718796C2211yescharacteristic
96#11718795C2211yescharacteristic
97#11718795C2211yescharacteristic, complemented
98#11718794C2211yescharacteristic, complemented
99#11718792C2211yescharacteristic
100#11718782C2211yescharacteristic, complemented
101#11718776C2211yescharacteristic
102#11718776C2211yescharacteristic
103#11718776C2211yescharacteristic, complemented
104#11718776C2211yescharacteristic, complemented
105#11718775C2211yescharacteristic, complemented
106#11718775C2211yescharacteristic, complemented
107#11718775C2211yescharacteristic, complemented
108#11718775C2211yescharacteristic, complemented
109#11718774C2211yescharacteristic
110#11718774C2211yescharacteristic, complemented
111C2×#88061C2211yescharacteristic
112#11718767C2211yescharacteristic, complemented
113C2×#88058C2211yescharacteristic, complemented
114C2×#88056C2211yescharacteristic, complemented
115#11718512C2211yescharacteristic, complemented
116#11718509C2211yescharacteristic
117#11718508C2211yescharacteristic
118#11718508C2211yescharacteristic
119#11718508C2211yescharacteristic, complemented
120#11718508C2211yescharacteristic, complemented
121#11718507C2211yescharacteristic, complemented
122#11718506C2211yescharacteristic, complemented
123#11718506C2211yescharacteristic, complemented
124#11718506C2211yescharacteristic, complemented
125#11718506C2211yescharacteristic, complemented
126#11718505C2211yescharacteristic
127#11718505C2211yescharacteristic
128#11718505C2211yescharacteristic, complemented
129#11718505C2211yescharacteristic, complemented
130#11718504C2211yescharacteristic
131#11718504C2211yescharacteristic
132#11718504C2211yescharacteristic, complemented
133#11718503C2211yescharacteristic
134#11718503C2211yescharacteristic, complemented
135#11718490C2211yescharacteristic, complemented
136#11718490C2211yescharacteristic, complemented
137#11718490C2211yescharacteristic, complemented
138#11718490C2211yescharacteristic, complemented
139#11718400C2211yescharacteristic, complemented
140#11718399C2211yescharacteristic
141#11718398C2211yescharacteristic
142#11718398C2211yescharacteristic, complemented
143#11718398C2211yescharacteristic, complemented
144#11718398C2211yescharacteristic, complemented
145#11718397C2211yescharacteristic, complemented
146#11718396C2211yescharacteristic
147#11718396C2211yescharacteristic, complemented
148#11718396C2211yescharacteristic, complemented
149#11718395C2211yescharacteristic
150#11718395C2211yescharacteristic
151#11718395C2211yescharacteristic, complemented
152#11718395C2211yescharacteristic, complemented
153#11718394C2211yescharacteristic
154#11718394C2211yescharacteristic, complemented
155#11718393C2211yescharacteristic
156#11718393C2211yescharacteristic
157#11718393C2211yescharacteristic
158#11718392C2211yescharacteristic
159#11718384C2211yescharacteristic, complemented
160#11718384C2211yescharacteristic, complemented
161#11718383C2211yescharacteristic, complemented
162#11718382C2211yescharacteristic, complemented
163#11718377C2211yescharacteristic, complemented
164#11718377C2211yescharacteristic, complemented
165#11718377C2211yescharacteristic, complemented
166#11718375C2211yescharacteristic, complemented
167#11718375C2211yescharacteristic, complemented
168#11718374C2211yescharacteristic
169#11718374C2211yescharacteristic, complemented
170#11718373C2211yescharacteristic
171#11718373C2211yescharacteristic, complemented
172#11718372C2211yescharacteristic
173#11718372C2211yescharacteristic
174#11718372C2211yescharacteristic
175#11718372C2211yescharacteristic, complemented
176#11718372C2211yescharacteristic, complemented
177#11718372C2211yescharacteristic, complemented
178#11718372C2211yescharacteristic, complemented
179#11718371C2211yescharacteristic
180#11718371C2211yescharacteristic
181#11718371C2211yescharacteristic
182#11718371C2211yescharacteristic
183#11718371C2211yescharacteristic
184#11718371C2211yescharacteristic, complemented
185#11718371C2211yescharacteristic, complemented
186#11718371C2211yescharacteristic, complemented
187#11718371C2211yescharacteristic, complemented
188#11718371C2211yescharacteristic, complemented
189#11718371C2211yescharacteristic, complemented
190#11718371C2211yescharacteristic, complemented
191#11718371C2211yescharacteristic, complemented
192#11718371C2211yescharacteristic, complemented
193#11718363C2211yescharacteristic, complemented
194#11718363C2211yescharacteristic, complemented
195#11718358C2211yescharacteristic, complemented
196#11718358C2211yescharacteristic, complemented
197#11718357C2211yescharacteristic, complemented
198C4×D104C2211yescharacteristic
199C4×D104C2211yescharacteristic, complemented
200C4×#6095C2211yescharacteristic
201C4×#6095C2211yescharacteristic, complemented
202#11718344C2211yescharacteristic, complemented
203C2×C13×#41D411yescharacteristic
204C2×D4×D13—21no—
205C2×#6127—21no—
206C2×#6127—21no—
207C2×#6127C2311yescharacteristic
208C2×#6127C2311yescharacteristic
209C2×#6127C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×D52C2311yescharacteristic
212C22×C4×D13—21no—
213C22×C4×D13—21no—
214C22×Dic26C2311yescharacteristic
215C2×C13×M16C2311yescharacteristic
216C2×C13×M16C2311yescharacteristic
217C22×C8×C13C2311yescharacteristic
218C22×C8×C13C2311yescharacteristic
219C22×C8×C13C2311yescharacteristic
220C22×C8×C13C2311yescharacteristic
221C4×Q8×C13D411yescharacteristic
222C4×Q8×C13C2311yescharacteristic
223C4×D4×C13D411yescharacteristic
224C4×D4×C13D411yescharacteristic
225C4×D4×C13D411yescharacteristic
226C4×D4×C13C2311yescharacteristic
227C4×D4×C13C2311yescharacteristic
228C4×D4×C13C2311yescharacteristic
229C13×#117D411yescharacteristic
230C13×#117D411yescharacteristic
231C13×#117D411yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235#88201—21no—
236#88201—21no—
237#88200—21no—
238#88198—21no—
239#88194—21no—
240#88193—21no—
241#88193—21no—
242#88193—21no—
243#88193—21no—
244#88193—21no—
245#88193—21no—
246#88191—21no—
247#88191—21no—
248#88190—21no—
249D4×Dic13—21no—
250#88184—21no—
251#88184—21no—
252#88184C2311yescharacteristic
253#88184C2311yescharacteristic
254#88184C2311yescharacteristic
255#88184C2311yescharacteristic
256#88184C2311yescharacteristic
257#88184C2311yescharacteristic
258#88184C2311yescharacteristic
259#88184C2311yescharacteristic
260#88183—21no—
261#88183—21no—
262#88183—21no—
263#88183—21no—
264C4×C22⋊D13—21no—
265C4×C22⋊D13—21no—
266C4×C22⋊D13—21no—
267C4×C22⋊D13—21no—
268C4×C22⋊D13—21no—
269C4×C22⋊D13—21no—
270C4×C22⋊D13—21no—
271C4×C22⋊D13—21no—
272C4×C22⋊D13—21no—
273C4×C22⋊D13—21no—
274C2×#6103—21no—
275C2×#6103—21no—
276#88180C2311yescharacteristic
277#88180C2311yescharacteristic
278#88180C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282#88178C2311yescharacteristic
283#88178C2311yescharacteristic
284#88178C2311yescharacteristic
285#88178C2311yescharacteristic
286C2×#6101—21no—
287C2×C4×Dic13—21no—
288#88162—24no—
289C2×Dic52C2311yescharacteristic
290C2×Dic52C2311yescharacteristic
291#88158—24no—
292C2×D104C2311yescharacteristic
293C2×D104C2311yescharacteristic
294C2×D104C2311yescharacteristic
295C2×D104C2311yescharacteristic
296C2×D104C2311yescharacteristic
297C2×D104C2311yescharacteristic
298C2×#6095—24no—
299C2×#6095C2311yescharacteristic
300C2×#6095C2311yescharacteristic
301C2×#6095C2311yescharacteristic
302C2×#6095C2311yescharacteristic
303C2×#6095C2311yescharacteristic
304C2×#6095C2311yescharacteristic
305C2×#6095C2311yescharacteristic
306C2×#6095C2311yescharacteristic
307#88152—21no—
308#88152—21no—
309#88152—21no—
310#88152—21no—
311#88150—21no—
312#88150—21no—
313#88150—21no—
314#88150—21no—
315#88149—21no—
316#88148—21no—
317#88148—21no—
318#88148—21no—
319#88148—21no—
320#88148—21no—
321#88148—21no—
322#88147—21no—
323#88147—21no—
324#88147—21no—
325C4⋊C4×D13—21no—
326#88144—21no—
327#88143—21no—
328#88143—21no—
329#88141—21no—
330#88141—21no—
331#88139—21no—
332#88139—21no—
333#88138—21no—
334#88138—21no—
335#88138—21no—
336#88138—21no—
337#88137—21no—
338#88137—21no—
339#88137—21no—
340#88137—21no—
341#88136—21no—
342#88136—21no—
343#88135—21no—
344#88135—21no—
345#88135—21no—
346#88135—21no—
347#88135—21no—
348#88135—21no—
349C22⋊C4×D13—21no—
350C22⋊C4×D13—21no—
351#88133—21no—
352#88133—21no—
353#88132—21no—
354#88132—21no—
355#88130—21no—
356#88130—21no—
357#88130—21no—
358#88130—21no—
359#88129—21no—
360#88129—21no—
361#88129C2311yescharacteristic
362#88129C2311yescharacteristic
363#88129C2311yescharacteristic
364#88129C2311yescharacteristic
365#88128C2311yescharacteristic
366#88128C2311yescharacteristic
367C4×D52—21no—
368C4×D52—21no—
369C4×D52—21no—
370C4×D52—21no—
371C4×D52—21no—
372C4×D52—21no—
373C4×D52C2311yescharacteristic
374C4×D52C2311yescharacteristic
375C4×D52C2311yescharacteristic
376C4×D52C2311yescharacteristic
377C4×D52C2311yescharacteristic
378C4×D52C2311yescharacteristic
379C4×D52C2311yescharacteristic
380C4×D52C2311yescharacteristic
381C4×D52C2311yescharacteristic
382C4×D52C2311yescharacteristic
383C4×D52C2311yescharacteristic
384C4×D52C2311yescharacteristic
385#88126—21no—
386#88126—21no—
387#88126—21no—
388#88126—21no—
389#88126—21no—
390#88126—21no—
391#88126—21no—
392C42×D13—21no—
393C42×D13—21no—
394C42×D13—21no—
395#88124C2311yescharacteristic
396#88124C2311yescharacteristic
397#88124C2311yescharacteristic
398#88124C2311yescharacteristic
399#88123C2311yescharacteristic
400#88123C2311yescharacteristic
401C4×Dic26—21no—
402C4×Dic26—21no—
403C4×Dic26C2311yescharacteristic
404C4×Dic26C2311yescharacteristic
405C4×Dic26C2311yescharacteristic
406C4×Dic26C2311yescharacteristic
407C4×Dic26C2311yescharacteristic
408C4×Dic26C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×C4⋊C8C2311yescharacteristic
412C13×C4⋊C8C2311yescharacteristic
413C13×C4⋊C8C2311yescharacteristic
414C13×C4⋊C8C2311yescharacteristic
415C13×C4⋊C8C2311yescharacteristic
416C13×C4⋊C8C2311yescharacteristic
417C13×C22⋊C8C2311yescharacteristic
418C13×C22⋊C8C2311yescharacteristic
419C13×C22⋊C8C2311yescharacteristic
420C13×C22⋊C8C2311yescharacteristic
421C13×C22⋊C8C2311yescharacteristic
422C13×C22⋊C8C2311yescharacteristic
423C13×#97C2311yescharacteristic
424C13×#97C2311yescharacteristic
425C13×#97C2311yescharacteristic
426C13×#97C2311yescharacteristic
427C13×#97C2311yescharacteristic
428C13×#97C2311yescharacteristic
429C13×#97C2311yescharacteristic
430C13×#97C2311yescharacteristic
431C4×C8×C13C2311yescharacteristic
432C4×C8×C13C2311yescharacteristic
433#88061C2311yescharacteristic
434#88061C2311yescharacteristic
435#88061C2311yescharacteristic
436#88061C2311yescharacteristic
437#88061C2311yescharacteristic
438#88061C2311yescharacteristic
439#88061C2311yescharacteristic
440#88061C2311yescharacteristic
441#88061C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88061C2311yescharacteristic
445#88061C2311yescharacteristic
446#88061C2311yescharacteristic
447#88061C2311yescharacteristic
448#88061C2311yescharacteristic
449#88061C2311yescharacteristic
450#88061C2311yescharacteristic
451#88061C2311yescharacteristic
452#88061C2311yescharacteristic
453#88058C2311yescharacteristic
454#88058C2311yescharacteristic
455#88058C2311yescharacteristic
456#88058C2311yescharacteristic
457#88058C2311yescharacteristic
458#88058C2311yescharacteristic
459#88058C2311yescharacteristic
460#88058C2311yescharacteristic
461#88057C2311yescharacteristic
462#88057C2311yescharacteristic
463#88057C2311yescharacteristic
464#88057C2311yescharacteristic
465#88057C2311yescharacteristic
466#88057C2311yescharacteristic
467#88057C2311yescharacteristic
468#88057C2311yescharacteristic
469#88056C2311yescharacteristic
470#88056C2311yescharacteristic
471#88056C2311yescharacteristic
472#88056C2311yescharacteristic
473#88056C2311yescharacteristic
474#88056C2311yescharacteristic
475#88056C2311yescharacteristic
476#88056C2311yescharacteristic
477#88056C2311yescharacteristic
478#88056C2311yescharacteristic
479#88056C2311yescharacteristic
480#88056C2311yescharacteristic
481#61456—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13—21no—
484C13×#41—42no—
485C2×Q8×C13C2×D411yescharacteristic
486C2×D4×C13C2×D411yescharacteristic
487C2×D4×C13C2×D411yescharacteristic
488C2×D4×C13C2×D411yescharacteristic
489C22×C4×C13C2×D411yescharacteristic
490C22×C4×C13C2×D411yescharacteristic
491C22×C4×C13C2×D411yescharacteristic
492C22×C4×C13C2×D411yescharacteristic
493C22×C4×C13C2×D411yescharacteristic
494C22×C4×C13C2×D411yescharacteristic
495C22×C4×C13C2411yescharacteristic
496C22×C4×C13C2411yescharacteristic
497C22×C4×C13C2411yescharacteristic
498C2×C22⋊D13—21no—
499C2×C22⋊D13—21no—
500C2×C22⋊D13—21no—
501C2×C22⋊D13—21no—
502C2×C22⋊D13—21no—
503C2×C22⋊D13—21no—
504C2×C22⋊D13—21no—
505C2×C22⋊D13—21no—
506C2×C22⋊D13—21no—
507C2×C22⋊D13—21no—
508C2×C22⋊D13—21no—
509C22×Dic13—21no—
510C22×Dic13—21no—
511C22×Dic13—21no—
512C22×Dic13—21no—
513D4×D13—44no—
514#6127—22no—
515#6127—22no—
516#6127—22no—
517#6127—41no—
518#6127—41no—
519#6127—41no—
520#6127—44no—
521#6127—82no—
522C2×D52—22no—
523C2×D52—22no—
524C2×D52—21no—
525C2×D52—21no—
526C2×D52—21no—
527C2×D52—21no—
528C2×D52—21no—
529C2×D52—21no—
530C2×D52—41no—
531C2×D52—41no—
532C2×D52C2411yescharacteristic
533C2×D52C2411yescharacteristic
534C2×D52C2411yescharacteristic
535C2×D52C2411yescharacteristic
536C2×D52C2411yescharacteristic
537C2×C4×D13—21no—
538C2×C4×D13—21no—
539C2×C4×D13—21no—
540C2×C4×D13—21no—
541C2×C4×D13—21no—
542C2×C4×D13—21no—
543C2×C4×D13—21no—
544C2×C4×D13—21no—
545C2×C4×D13—21no—
546C2×C4×D13—21no—
547C2×C4×D13—21no—
548C2×C4×D13—21no—
549C2×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—21no—
552C2×C4×D13—82no—
553C2×C4×D13—82no—
554C2×Dic26—22no—
555C2×Dic26—21no—
556C2×Dic26—21no—
557C2×Dic26—21no—
558C2×Dic26—41no—
559C2×Dic26C2411yescharacteristic
560C2×Dic26C2411yescharacteristic
561C2×Dic26C2411yescharacteristic
562C13×M16—22no—
563C13×M16—41no—
564C2×C8×C13—22no—
565C2×C8×C13—22no—
566C2×C8×C13—41no—
567C2×C8×C13—41no—
568C2×C8×C13C2411yescharacteristic
569C2×C8×C13C2411yescharacteristic
570C2×C8×C13C2411yescharacteristic
571C2×C8×C13C2411yescharacteristic
572C2×C8×C13C2411yescharacteristic
573C2×C8×C13C2411yescharacteristic
574C2×C8×C13C2411yescharacteristic
575C2×C8×C13C2411yescharacteristic
576C13×C4⋊C4C2×D411yescharacteristic
577C13×C4⋊C4C2×D411yescharacteristic
578C13×C4⋊C4C2×D411yescharacteristic
579C13×C4⋊C4C2×D411yescharacteristic
580C13×C4⋊C4C2×D411yescharacteristic
581C13×C4⋊C4C2×D411yescharacteristic
582C13×C22⋊C4C2×D411yescharacteristic
583C13×C22⋊C4C2×D411yescharacteristic
584C13×C22⋊C4C2×D411yescharacteristic
585C13×C22⋊C4C2×D411yescharacteristic
586C13×C22⋊C4C2×D411yescharacteristic
587C13×C22⋊C4C2×D411yescharacteristic
588C42×C13C2×D411yescharacteristic
589C42×C13C2×D411yescharacteristic
590C42×C13C2×D411yescharacteristic
591C42×C13C2×D411yescharacteristic
592C42×C13C2×D411yescharacteristic
593C42×C13C2×D411yescharacteristic
594C42×C13C2411yescharacteristic
595C42×C13C2411yescharacteristic
596C42×C13C2411yescharacteristic
597C42×C13C2411yescharacteristic
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—21no—
605#6103—21no—
606#6103—21no—
607#6103—21no—
608#6103—21no—
609#6103—21no—
610#6103—21no—
611#6103—21no—
612#6103—21no—
613#6103—21no—
614#6103—21no—
615#6103—21no—
616#6103—21no—
617#6103—21no—
618#6103—21no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103—21no—
629#6103—21no—
630#6103—21no—
631#6103—21no—
632#6103—21no—
633C4⋊Dic13—21no—
634C4⋊Dic13—21no—
635C4⋊Dic13—21no—
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13C2411yescharacteristic
639C4⋊Dic13C2411yescharacteristic
640C4⋊Dic13C2411yescharacteristic
641C4⋊Dic13C2411yescharacteristic
642C4⋊Dic13C2411yescharacteristic
643C4⋊Dic13C2411yescharacteristic
644C4⋊Dic13C2411yescharacteristic
645C4⋊Dic13C2411yescharacteristic
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101—21no—
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676C4×Dic13—21no—
677Dic52—22no—
678Dic52—41no—
679D104—22no—
680D104—22no—
681D104—22no—
682D104—41no—
683D104—41no—
684D104—41no—
685#6095—22no—
686#6095—22no—
687#6095—22no—
688#6095—22no—
689#6095—22no—
690#6095—41no—
691#6095—41no—
692#6095#4114yescomplemented
693#3481—131no—
694#3480—131no—
695#3403—131no—
696#3388—131no—
697#3371—131no—
698#3370—131no—
699#3350—131no—
700#3346—131no—
701#3339—131no—
702#3318—131no—
703#3316—131no—
704#3311—131no—
705#3309—131no—
706#3301—131no—
707#3297—131no—
708#3282—131no—
709#3268—131no—
710#3265—131no—
711#3183—131no—
712#3180—131no—
713#3180—131no—
714#3117—131no—
715#3115—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3109—131no—
720#2970D1311yescharacteristic, complemented
721C4×AGL(1,ℤ/8)—131no—
722#2943—131no—
723C2×#440—131no—
724C23×C13C22×D411yescharacteristic
725C23×C13C22×D411yescharacteristic
726C23×C13C22×D411yescharacteristic
727C22×D13—21no—
728C22×D13—21no—
729C22×D13—21no—
730C22×D13—21no—
731C22×D13—21no—
732C22×D13—42no—
733C22×D13—42no—
734C22×D13—42no—
735C22×D13—42no—
736C22×D13—81no—
737C22×D13—81no—
738Q8×C13—41no—
739D4×C13—22no—
740D4×C13—22no—
741D4×C13—41no—
742C2×C4×C13—22no—
743C2×C4×C13—21no—
744C2×C4×C13—21no—
745C2×C4×C13—21no—
746C2×C4×C13—21no—
747C2×C4×C13—21no—
748C2×C4×C13—21no—
749C2×C4×C13—41no—
750C2×C4×C13—41no—
751C2×C4×C13—41no—
752C2×C4×C13—41no—
753C2×C4×C13—41no—
754C2×C4×C13C22×D411yescharacteristic
755C2×C4×C13C22×D411yescharacteristic
756C2×C4×C13C22×D411yescharacteristic
757C2×C4×C13C22×D411yescharacteristic
758C2×C4×C13C22×D411yescharacteristic
759C2×C4×C13C22×D411yescharacteristic
760C2×C4×C13C22×D411yescharacteristic
761C2×C4×C13C22×D411yescharacteristic
762C2×C4×C13C22×D411yescharacteristic
763C2×C4×C13C22×D411yescharacteristic
764C2×C4×C13C22×D411yescharacteristic
765C2×C4×C13C2511yescharacteristic
766C22⋊D13—42no—
767C22⋊D13—42no—
768C22⋊D13—42no—
769C22⋊D13—42no—
770C22⋊D13—42no—
771C22⋊D13—42no—
772C22⋊D13—42no—
773C22⋊D13—81no—
774C22⋊D13—81no—
775C22⋊D13—81no—
776C22⋊D13—81no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—21no—
783C2×Dic13—21no—
784C2×Dic13—21no—
785C2×Dic13—21no—
786C2×Dic13—21no—
787C2×Dic13—21no—
788C2×Dic13—42no—
789C2×Dic13—81no—
790C2×Dic13—81no—
791C2×Dic13—81no—
792D52—21no—
793D52—21no—
794D52—21no—
795D52—21no—
796D52—21no—
797D52—21no—
798D52—21no—
799D52—21no—
800D52—21no—
801D52—42no—
802D52—42no—
803D52—42no—
804D52—42no—
805D52—81no—
806D52—81no—
807D52C2×#4112yes—
808C4×D13—42no—
809C4×D13—42no—
810C4×D13—42no—
811C4×D13—42no—
812C4×D13—42no—
813C4×D13—42no—
814C4×D13—42no—
815C4×D13—42no—
816C4×D13—42no—
817C4×D13—81no—
818C4×D13—81no—
819C4×D13—81no—
820C4×D13—81no—
821C4×D13—81no—
822C4×D13—81no—
823Dic26—21no—
824Dic26—21no—
825Dic26—21no—
826Dic26—21no—
827Dic26—21no—
828Dic26—42no—
829Dic26—42no—
830Dic26—81no—
831Dic26C2×#4112yes—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13—21no—
836C8×C13—21no—
837C8×C13—21no—
838C8×C13—21no—
839C8×C13C2×#4112yes—
840C2×AGL(1,ℤ/8)—131no—
841C2×#135—131no—
842C22×SD16—131no—
843#559—131no—
844#559—131no—
845#559—261no—
846#557—131no—
847#556—131no—
848#556—261no—
849#554—131no—
850#554—131no—
851#553—131no—
852#553—131no—
853#553—131no—
854#553—131no—
855#553—261no—
856#553—261no—
857#553—261no—
858#551—261no—
859#551—261no—
860#550—131no—
861#548—131no—
862#548—131no—
863#546—131no—
864#546—131no—
865#546—261no—
866D42—131no—
867#532—131no—
868#532—131no—
869#532—261no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—131no—
874#529—261no—
875#529—261no—
876#529—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41—261no—
883C4×#41C2×D1311yescharacteristic
884C2×C4×Q8—131no—
885C2×C4×D4—131no—
886C2×C4×D4—131no—
887C2×C4×D4—261no—
888#501—131no—
889#501—131no—
890#499—131no—
891#496—131no—
892#496—131no—
893#495—131no—
894#490—131no—
895#490—131no—
896#489—131no—
897#489—131no—
898#488—131no—
899#488—131no—
900#485—131no—
901#485—131no—
902#484—131no—
903#483—131no—
904#482—131no—
905#482—131no—
906#482—131no—
907#482—131no—
908#481—131no—
909#481—131no—
910#481—131no—
911#480—131no—
912#479—131no—
913#479—131no—
914#479—131no—
915#479—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#476—131no—
921#476—131no—
922#475—131no—
923#474—131no—
924#470—131no—
925#469—131no—
926#468—131no—
927#468—131no—
928#466—131no—
929#466—131no—
930#466—131no—
931#466—131no—
932#465—131no—
933#465—131no—
934#465—131no—
935#465—131no—
936#464—131no—
937#464—131no—
938#464—131no—
939#464—131no—
940#463—131no—
941#463—131no—
942#463—131no—
943#463—131no—
944#460—131no—
945#459—131no—
946#459—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#451—131no—
951#450—131no—
952#449—131no—
953#449—131no—
954#449—131no—
955#449—131no—
956#448—131no—
957#447—131no—
958#447—131no—
959#447—131no—
960#446C2×D1311yescharacteristic, complemented
961#446C2×D1311yescharacteristic, complemented
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#442—131no—
969#441—131no—
970#441—131no—
971#441—131no—
972#440—131no—
973#440—131no—
974#440—131no—
975#440—131no—
976#440—131no—
977#440—131no—
978#440—131no—
979#440—131no—
980#440—131no—
981#440—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440—131no—
986C4×SD16—131no—
987C4×SD16—131no—
988C4×D8—131no—
989C4×D8—131no—
990#435C2×D1311yescharacteristic
991#435C2×D1311yescharacteristic
992#435C2×D1311yescharacteristic, complemented
993#435C2×D1311yescharacteristic, complemented
994C8×D4C2×D1311yescharacteristic, complemented
995C8×D4C2×D1311yescharacteristic, complemented
996#432C2×D1311yescharacteristic, complemented
997#432C2×D1311yescharacteristic, complemented
998#432C2×D1311yescharacteristic, complemented
999#428—131no—
1000#427—131no—
1001C2×#107—131no—
1002#418—131no—
1003#417—131no—
1004#416—131no—
1005#416—131no—
1006C2×#103—131no—
1007C2×#102—131no—
1008C4×M16C2×D1311yescharacteristic, complemented
1009C2×#97C2×D1311yescharacteristic, complemented
1010C2×#97C2×D1311yescharacteristic, complemented
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—21no—
1019C22×C13#57512yes—
1020C22×C13C23×D411yescharacteristic
1021C2×D13—22no—
1022C2×D13—41no—
1023C2×D13—41no—
1024C2×D13—41no—
1025C2×D13—41no—
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C2×D13—41no—
1030C2×D13—41no—
1031C2×D13—41no—
1032C2×D13—41no—
1033C2×D13—41no—
1034C2×D13—41no—
1035C2×D13—41no—
1036C2×D13—84no—
1037C2×D13—84no—
1038C4×C13—21no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—21no—
1044C4×C13—21no—
1045C4×C13—21no—
1046C4×C13—21no—
1047C4×C13—21no—
1048C4×C13—21no—
1049C4×C13C22×#4111yescharacteristic
1050C4×C13#58511yescharacteristic
1051Dic13—22no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055Dic13—41no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062C2×#41—131no—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—261no—
1066C2×#41—261no—
1067C2×#41D5211yescharacteristic
1068C22×Q8—131no—
1069C22×D4—131no—
1070C22×D4—131no—
1071C22×D4—261no—
1072C23×C4—261no—
1073C23×C4—261no—
1074AGL(1,ℤ/8)—264no—
1075#135—264no—
1076C2×Q16—131no—
1077C2×Q16—131no—
1078C2×SD16—131no—
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16—131no—
1086C2×SD16—264no—
1087C2×D8—131no—
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8—131no—
1091C2×D8—131no—
1092C2×D8—131no—
1093C2×M16C22×D1311yescharacteristic
1094C2×M16C22×D1311yescharacteristic
1095C22×C8C22×D1311yescharacteristic
1096C22×C8C22×D1311yescharacteristic
1097C22×C8C22×D1311yescharacteristic
1098C22×C8C22×D1311yescharacteristic
1099C4⋊Q8—131no—
1100C4⋊Q8—131no—
1101C4⋊Q8—261no—
1102#127—131no—
1103#127—131no—
1104#127—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#126—261no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—131no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—131no—
1123#124—131no—
1124#124—131no—
1125#124—131no—
1126#124—261no—
1127#124—261no—
1128#124—261no—
1129#124—261no—
1130#124—261no—
1131#124—261no—
1132#124—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146#123—261no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—131no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158#121—131no—
1159#121—131no—
1160#121—131no—
1161#121—131no—
1162#121—131no—
1163#121—131no—
1164#121—131no—
1165#121—131no—
1166#121—261no—
1167#121—261no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121—261no—
1177#121—261no—
1178#121—261no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183C4×Q8—131no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—131no—
1191C4×Q8—261no—
1192C4×Q8—261no—
1193C4×Q8—261no—
1194C4×Q8—261no—
1195C4×Q8D5211yescharacteristic
1196C4×Q8C22×D1311yescharacteristic
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—261no—
1210C4×D4—261no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4—261no—
1231C4×D4—261no—
1232C4×D4—261no—
1233C4×D4—261no—
1234C4×D4—261no—
1235C4×D4D5211yescharacteristic
1236C4×D4D5211yescharacteristic
1237C4×D4D5211yescharacteristic
1238C4×D4C22×D1311yescharacteristic
1239C4×D4C22×D1311yescharacteristic
1240C4×D4C22×D1311yescharacteristic
1241#117—131no—
1242#117—131no—
1243#117—131no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117—261no—
1251#117D5211yescharacteristic
1252#117D5211yescharacteristic
1253#117D5211yescharacteristic
1254C2×C4⋊C4—131no—
1255C2×C4⋊C4—131no—
1256C2×C4⋊C4—131no—
1257C2×C4⋊C4—261no—
1258C2×C4⋊C4—261no—
1259C2×C22⋊C4—261no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C42—261no—
1264C2×C42—261no—
1265C2×C42—261no—
1266C2×C42—261no—
1267C2×C42C22×D1311yescharacteristic
1268C2×C42C22×D1311yescharacteristic
1269C2×C42C22×D1311yescharacteristic
1270#107—131no—
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107—131no—
1278#106—131no—
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106—131no—
1286C4⋊C8C22×D1311yescharacteristic
1287C4⋊C8C22×D1311yescharacteristic
1288C4⋊C8C22×D1311yescharacteristic
1289C4⋊C8C22×D1311yescharacteristic
1290C4⋊C8C22×D1311yescharacteristic
1291C4⋊C8C22×D1311yescharacteristic
1292#103—131no—
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103—131no—
1302#103—131no—
1303#103—131no—
1304#102—131no—
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102—131no—
1320#102—131no—
1321#102—131no—
1322#102—131no—
1323#102—131no—
1324C22⋊C8C22×D1311yescharacteristic
1325C22⋊C8C22×D1311yescharacteristic
1326C22⋊C8C22×D1311yescharacteristic
1327C22⋊C8C22×D1311yescharacteristic
1328C22⋊C8C22×D1311yescharacteristic
1329C22⋊C8C22×D1311yescharacteristic
1330#97C22×D1311yescharacteristic
1331#97C22×D1311yescharacteristic
1332#97C22×D1311yescharacteristic
1333#97C22×D1311yescharacteristic
1334#97C22×D1311yescharacteristic
1335#97C22×D1311yescharacteristic
1336#97C22×D1311yescharacteristic
1337#97C22×D1311yescharacteristic
1338C4×C8C22×D1311yescharacteristic
1339C4×C8C22×D1311yescharacteristic
1340C2×C13—22no—
1341C2×C13—41no—
1342C2×C13—41no—
1343C2×C13D4×#4111yescharacteristic
1344C2×C13C2×#57511yescharacteristic
1345C2×C13#358511yescharacteristic
1346D13—42no—
1347D13—81no—
1348D13—81no—
1349D13—81no—
1350D13—81no—
1351C24—261no—
1352C24—261no—
1353#41—42no—
1354#41—262no—
1355#41—262no—
1356#41—262no—
1357#41—521no—
1358#41—521no—
1359#41—521no—
1360#41—524no—
1361#41—1042no—
1362C2×Q8—131no—
1363C2×Q8—131no—
1364C2×Q8—131no—
1365C2×Q8—262no—
1366C2×Q8—261no—
1367C2×Q8—261no—
1368C2×Q8—261no—
1369C2×Q8—521no—
1370C2×Q8C2×D5211yescharacteristic
1371C2×D4—131no—
1372C2×D4—131no—
1373C2×D4—131no—
1374C2×D4—131no—
1375C2×D4—131no—
1376C2×D4—262no—
1377C2×D4—262no—
1378C2×D4—261no—
1379C2×D4—261no—
1380C2×D4—261no—
1381C2×D4—261no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—261no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—261no—
1392C2×D4—261no—
1393C2×D4—261no—
1394C2×D4—261no—
1395C2×D4—521no—
1396C2×D4—521no—
1397C2×D4—524no—
1398C2×D4C2×D5211yescharacteristic
1399C2×D4C2×D5211yescharacteristic
1400C2×D4C2×D5211yescharacteristic
1401C22×C4—261no—
1402C22×C4—261no—
1403C22×C4—261no—
1404C22×C4—261no—
1405C22×C4—261no—
1406C22×C4—261no—
1407C22×C4—261no—
1408C22×C4—261no—
1409C22×C4—261no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—1042no—
1421C22×C4—1042no—
1422C22×C4C2×D5211yescharacteristic
1423C22×C4C2×D5211yescharacteristic
1424C22×C4C2×D5211yescharacteristic
1425C22×C4C2×D5211yescharacteristic
1426C22×C4C2×D5211yescharacteristic
1427C22×C4C2×D5211yescharacteristic
1428C22×C4C23×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430C22×C4C23×D1311yescharacteristic
1431Q16—262no—
1432Q16—521no—
1433SD16—134no—
1434SD16—262no—
1435SD16—262no—
1436SD16—262no—
1437SD16—262no—
1438SD16—262no—
1439SD16—521no—
1440SD16—521no—
1441D8—262no—
1442D8—262no—
1443D8—262no—
1444D8—521no—
1445D8—521no—
1446D8—521no—
1447M16—22no—
1448M16—41no—
1449C2×C8—22no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—41no—
1453C2×C8C23×D1311yescharacteristic
1454C2×C8C23×D1311yescharacteristic
1455C2×C8C23×D1311yescharacteristic
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C2×C8C23×D1311yescharacteristic
1461C4⋊C4—131no—
1462C4⋊C4—131no—
1463C4⋊C4—131no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—261no—
1470C4⋊C4—261no—
1471C4⋊C4—261no—
1472C4⋊C4—261no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4C2×D5211yescharacteristic
1495C4⋊C4C2×D5211yescharacteristic
1496C4⋊C4C2×D5211yescharacteristic
1497C4⋊C4C2×D5211yescharacteristic
1498C4⋊C4C2×D5211yescharacteristic
1499C4⋊C4C2×D5211yescharacteristic
1500C22⋊C4—261no—
1501C22⋊C4—261no—
1502C22⋊C4—261no—
1503C22⋊C4—261no—
1504C22⋊C4—261no—
1505C22⋊C4—261no—
1506C22⋊C4—261no—
1507C22⋊C4—261no—
1508C22⋊C4—261no—
1509C22⋊C4—261no—
1510C22⋊C4—261no—
1511C22⋊C4—261no—
1512C22⋊C4—261no—
1513C22⋊C4—261no—
1514C22⋊C4—261no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4C2×D5211yescharacteristic
1536C22⋊C4C2×D5211yescharacteristic
1537C22⋊C4C2×D5211yescharacteristic
1538C22⋊C4C2×D5211yescharacteristic
1539C22⋊C4C2×D5211yescharacteristic
1540C22⋊C4C2×D5211yescharacteristic
1541C42—261no—
1542C42—261no—
1543C42—261no—
1544C42—261no—
1545C42—261no—
1546C42—261no—
1547C42—261no—
1548C42—261no—
1549C42—261no—
1550C42—261no—
1551C42—261no—
1552C42C2×D5211yescharacteristic
1553C42C2×D5211yescharacteristic
1554C42C2×D5211yescharacteristic
1555C42C2×D5211yescharacteristic
1556C42C2×D5211yescharacteristic
1557C42C2×D5211yescharacteristic
1558C42C23×D1311yescharacteristic
1559C42C23×D1311yescharacteristic
1560C42C23×D1311yescharacteristic
1561C42C23×D1311yescharacteristic
1562C13#6145611yescharacteristic, complemented, Sylow
1563C23—261no—
1564C23—261no—
1565C23—261no—
1566C23—261no—
1567C23—261no—
1568C23—522no—
1569C23—522no—
1570C23—522no—
1571C23—522no—
1572C23—1041no—
1573C23—1041no—
1574C23C22×D5211yescharacteristic
1575C23C22×D5211yescharacteristic
1576C23C22×D5211yescharacteristic
1577Q8—41no—
1578Q8—132no—
1579Q8—261no—
1580Q8—261no—
1581Q8—261no—
1582Q8—261no—
1583Q8—261no—
1584Q8—522no—
1585Q8—522no—
1586Q8—1041no—
1587D4—22no—
1588D4—22no—
1589D4—41no—
1590D4—132no—
1591D4—261no—
1592D4—261no—
1593D4—261no—
1594D4—261no—
1595D4—261no—
1596D4—261no—
1597D4—261no—
1598D4—261no—
1599D4—261no—
1600D4—522no—
1601D4—522no—
1602D4—522no—
1603D4—522no—
1604D4—522no—
1605D4—522no—
1606D4—522no—
1607D4—522no—
1608D4—522no—
1609D4—522no—
1610D4—522no—
1611D4—1041no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4—1041no—
1616D4—1041no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—261no—
1630C2×C4—261no—
1631C2×C4—261no—
1632C2×C4—261no—
1633C2×C4—261no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—522no—
1641C2×C4—522no—
1642C2×C4—522no—
1643C2×C4—522no—
1644C2×C4—522no—
1645C2×C4—522no—
1646C2×C4—522no—
1647C2×C4—522no—
1648C2×C4—522no—
1649C2×C4—522no—
1650C2×C4—1041no—
1651C2×C4—1041no—
1652C2×C4—1041no—
1653C2×C4—1041no—
1654C2×C4—1041no—
1655C2×C4—1041no—
1656C2×C4—1041no—
1657C2×C4—1041no—
1658C2×C4—1041no—
1659C2×C4C22×D5211yescharacteristic
1660C2×C4C22×D5211yescharacteristic
1661C2×C4C22×D5211yescharacteristic
1662C2×C4C22×D5211yescharacteristic
1663C2×C4C22×D5211yescharacteristic
1664C2×C4C22×D5211yescharacteristic
1665C2×C4C22×D5211yescharacteristic
1666C2×C4C22×D5211yescharacteristic
1667C2×C4C22×D5211yescharacteristic
1668C2×C4C22×D5211yescharacteristic
1669C2×C4C22×D5211yescharacteristic
1670C2×C4C24×D1311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—21no—
1676C8—21no—
1677C8—21no—
1678C8#41×D1312yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—262no—
1688C22—521no—
1689C22—521no—
1690C22—521no—
1691C22—521no—
1692C22—521no—
1693C22—521no—
1694C22—521no—
1695C22—521no—
1696C22—521no—
1697C22—521no—
1698C22—521no—
1699C22—521no—
1700C22—521no—
1701C22—521no—
1702C22—1044no—
1703C22—1044no—
1704C22#1171945312yes—
1705C22C23×D5211yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—262no—
1718C4—521no—
1719C4—521no—
1720C4—521no—
1721C4—521no—
1722C4—521no—
1723C4—521no—
1724C4—521no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4C2×#41×D1311yescharacteristic
1729C4#1171964811yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—522no—
1734C2—1041no—
1735C2—1041no—
1736C2—1041no—
1737C2—1041no—
1738C2#41×D5211yescharacteristic
1739C2C2×#1171945311yescharacteristic
1740C2#1312961711yescharacteristic
subgroupG/H
centerC22C23×D52
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#2970C2
socleC22×C13C23×D4
hypercenter#2970D13
hypocenterC13#61456
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2970

Complements

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

NH ≅ G/Ntype
1. #13128446C2semidirect
2. #13128429C2semidirect
3. #13127926C2semidirect
4. #13127783C2semidirect
5. #13127606C2semidirect
6. #13127591C2semidirect
7. #13127383C2semidirect
8. #13127323C2semidirect
9. #13127239C2semidirect
10. #13126979C2semidirect
11. #13126949C2semidirect
12. #13126874C2semidirect
13. #13126844C2semidirect
14. #13126740C2semidirect
15. #13126688C2semidirect
16. #13126548C2semidirect
17. #13126381C2semidirect
18. #13126336C2semidirect
19. #13125565C2semidirect
20. #13125534C2semidirect
21. #13125534C2semidirect
22. #13125009C2semidirect
23. #13124988C2semidirect
24. #13124976C2semidirect
25. #13124947C2semidirect
26. #13124947C2semidirect
27. #13124928C2semidirect
28. C4×#88162C2semidirect
29. #13123638C2semidirect
30. C2×#11718371C2semidirect
31. C13×#2970C2semidirect
39. #11719290C22semidirect
43. #11719272C22semidirect
47. #11719270C22semidirect
49. #11719258C22semidirect
51. #11719257C22semidirect
59. #11719247C22semidirect
70. #11719184C22semidirect
71. #11719184C22semidirect
73. #11719182C22semidirect
75. C4×#6127C22semidirect
76. C4×#6127C22semidirect
79. C2×C4×Dic26C22semidirect
80. C13×#446C22semidirect
81. C13×#446C22semidirect
84. C13×#435C22semidirect
85. C13×#435C22semidirect
86. C8×D4×C13C22semidirect
87. C8×D4×C13C22semidirect
88. C13×#432C22semidirect
89. C13×#432C22semidirect
90. C13×#432C22semidirect
91. C4×C13×M16C22semidirect
92. C2×C13×#97C22semidirect
93. C2×C13×#97C22semidirect
94. #11718798C22semidirect
97. #11718795C22semidirect
98. #11718794C22semidirect
100. #11718782C22semidirect
103. #11718776C22semidirect
104. #11718776C22semidirect
105. #11718775C22semidirect
106. #11718775C22semidirect
107. #11718775C22semidirect
108. #11718775C22semidirect
110. #11718774C22semidirect
112. #11718767C22semidirect
113. C2×#88058C22semidirect
114. C2×#88056C22semidirect
115. #11718512C22semidirect
119. #11718508C22semidirect
120. #11718508C22semidirect
121. #11718507C22semidirect
122. #11718506C22semidirect
123. #11718506C22semidirect
124. #11718506C22semidirect
125. #11718506C22semidirect
128. #11718505C22semidirect
129. #11718505C22semidirect
132. #11718504C22semidirect
134. #11718503C22semidirect
135. #11718490C22semidirect
136. #11718490C22semidirect
137. #11718490C22semidirect
138. #11718490C22semidirect
139. #11718400C22semidirect
142. #11718398C22semidirect
143. #11718398C22semidirect
144. #11718398C22semidirect
145. #11718397C22semidirect
147. #11718396C22semidirect
148. #11718396C22semidirect
151. #11718395C22semidirect
152. #11718395C22semidirect
154. #11718394C22semidirect
159. #11718384C22semidirect
160. #11718384C22semidirect
161. #11718383C22semidirect
162. #11718382C22semidirect
163. #11718377C22semidirect
164. #11718377C22semidirect
165. #11718377C22semidirect
166. #11718375C22semidirect
167. #11718375C22semidirect
169. #11718374C22semidirect
171. #11718373C22semidirect
175. #11718372C22semidirect
176. #11718372C22semidirect
177. #11718372C22semidirect
178. #11718372C22semidirect
184. #11718371C22semidirect
185. #11718371C22semidirect
186. #11718371C22semidirect
187. #11718371C22semidirect
188. #11718371C22semidirect
189. #11718371C22semidirect
190. #11718371C22semidirect
191. #11718371C22semidirect
192. #11718371C22semidirect
193. #11718363C22semidirect
194. #11718363C22semidirect
195. #11718358C22semidirect
196. #11718358C22semidirect
197. #11718357C22semidirect
199. C4×D104C22semidirect
201. C4×#6095C22semidirect
202. #11718344C22semidirect
692. #6095#41semidirect
720. #2970D13semidirect
960. #446C2×D13semidirect
961. #446C2×D13semidirect
992. #435C2×D13semidirect
993. #435C2×D13semidirect
994. C8×D4C2×D13semidirect
995. C8×D4C2×D13semidirect
996. #432C2×D13semidirect
997. #432C2×D13semidirect
998. #432C2×D13semidirect
1008. C4×M16C2×D13semidirect
1009. C2×#97C2×D13semidirect
1010. C2×#97C2×D13semidirect
1562. C13#61456semidirect

Maximal subgroups

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

subgroupindex
#131284462
#131284292
#131279262
#131277832
#131276062
#131275912
#131273832
#131273232
#131272392
#131269792
#131269492
#131268742
#131268442
#131267402
#131266882
#131265482
#131263812
#131263362
#131255652
#131255342
#131250092
#131249882
#131249762
#131249472
#131249282
C4×#881622
#131236382
C2×#117183712
C13×#29702
#6145613