Finite Group Databasebeta

← #16758101

Subgroups — #16758101

Order 3328.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129281C211yesmaximal, characteristic, complemented
2#13127911C211yesmaximal, characteristic, complemented
3#13127867C211yesmaximal, characteristic, complemented
4#13127663C211yesmaximal, characteristic, complemented
5#13127617C211yesmaximal, characteristic, complemented
6#13127113C211yesmaximal, characteristic, complemented
7#13127083C211yesmaximal, characteristic, complemented
8#13127001C211yesmaximal, characteristic, complemented
9#13126926C211yesmaximal, characteristic, complemented
10#13126896C211yesmaximal, characteristic, complemented
11#13126881C211yesmaximal, characteristic, complemented
12#13126478C211yesmaximal, characteristic, complemented
13#13126463C211yesmaximal, characteristic, complemented
14#13126387C211yesmaximal, characteristic, complemented
15#13126357C211yesmaximal, characteristic, complemented
16#13126342C211yesmaximal, characteristic, complemented
17#13126342C211yesmaximal, characteristic, complemented
18#13126286C211yesmaximal, characteristic, complemented
19#13126262C211yesmaximal, characteristic, complemented
20#13126232C211yesmaximal, characteristic, complemented
21#13125939C211yesmaximal, characteristic, complemented
22#13125913C211yesmaximal, characteristic, complemented
23#13125860C211yesmaximal, characteristic, complemented
24#13125088C211yesmaximal, characteristic, complemented
25#13125050C211yesmaximal, characteristic, complemented
26#13124945C211yesmaximal, characteristic, complemented
27#13124386C211yesmaximal, characteristic, complemented
28#13124348C211yesmaximal, characteristic, complemented
29#13124323C211yesmaximal, characteristic, complemented
30#13124006C211yesmaximal, characteristic, complemented
31C13×#3521C211yesmaximal, characteristic, complemented
32C13×#556C2211yescharacteristic
33C13×#556C2211yescharacteristic
34C13×#554C2211yescharacteristic
35C13×#553—21no—
36C13×#553C2211yescharacteristic
37C13×#552—21no—
38C13×#552C2211yescharacteristic
39C13×#551—21no—
40C13×#551—21no—
41C13×#547C2211yescharacteristic
42C13×#546C2211yescharacteristic
43C13×#546C2211yescharacteristic
44C13×#542C2211yescharacteristic
45C13×#541C2211yescharacteristic
46C13×#539—21no—
47C13×#538—21no—
48C13×#529—21no—
49C13×#529C2211yescharacteristic
50C13×#529C2211yescharacteristic
51C2×C13×#126—21no—
52C13×#520C2211yescharacteristic
53C13×#518C2211yescharacteristic
54C4×C13×#41C2211yescharacteristic
55C2×#88205C2211yescharacteristic
56C2×#88205C2211yescharacteristic
57C2×#88205C2211yescharacteristic
58C2×#88204C2211yescharacteristic
59C22×#6105C2211yescharacteristic
60C2×#88186C2211yescharacteristic
61#11719417—21no—
62#11719417—21no—
63#11719394—21no—
64#11719387—21no—
65#11719370—21no—
66#11719370—21no—
67#11719340—21no—
68#11719323—21no—
69#11719289C2211yescharacteristic, complemented
70#11719275C2211yescharacteristic, complemented
71#11719257C2211yescharacteristic
72#11719257C2211yescharacteristic, complemented
73#11719256C2211yescharacteristic
74D4×Dic26C2211yescharacteristic
75D4×Dic26C2211yescharacteristic
76D4×Dic26C2211yescharacteristic, complemented
77#11719231C2211yescharacteristic
78#11719231C2211yescharacteristic, complemented
79#11719223C2211yescharacteristic
80#11719223C2211yescharacteristic, complemented
81#11719184C2211yescharacteristic, complemented
82C2×#88123C2211yescharacteristic, complemented
83#11718900C2211yescharacteristic
84#11718900C2211yescharacteristic
85#11718900C2211yescharacteristic
86#11718899C2211yescharacteristic
87#11718879C2211yescharacteristic
88#11718879C2211yescharacteristic
89#11718755C2211yescharacteristic, complemented
90#11718754C2211yescharacteristic, complemented
91#11718753C2211yescharacteristic, complemented
92#11718752C2211yescharacteristic, complemented
93#11718751C2211yescharacteristic, complemented
94#11718751C2211yescharacteristic, complemented
95#11718750C2211yescharacteristic, complemented
96#11718747C2211yescharacteristic, complemented
97#11718730C2211yescharacteristic, complemented
98#11718730C2211yescharacteristic, complemented
99#11718730C2211yescharacteristic, complemented
100#11718729C2211yescharacteristic, complemented
101#11718727C2211yescharacteristic, complemented
102#11718724C2211yescharacteristic, complemented
103#11718724C2211yescharacteristic, complemented
104#11718724C2211yescharacteristic, complemented
105#11718721C2211yescharacteristic
106#11718721C2211yescharacteristic
107#11718721C2211yescharacteristic
108#11718720C2211yescharacteristic
109#11718718C2211yescharacteristic
110#11718715C2211yescharacteristic
111#11718715C2211yescharacteristic
112#11718715C2211yescharacteristic
113#11718713C2211yescharacteristic
114#11718713C2211yescharacteristic
115#11718713C2211yescharacteristic, complemented
116#11718713C2211yescharacteristic, complemented
117#11718712C2211yescharacteristic
118#11718712C2211yescharacteristic
119#11718712C2211yescharacteristic, complemented
120#11718711C2211yescharacteristic
121#11718711C2211yescharacteristic
122#11718711C2211yescharacteristic, complemented
123#11718711C2211yescharacteristic, complemented
124#11718711C2211yescharacteristic, complemented
125#11718710C2211yescharacteristic, complemented
126#11718708C2211yescharacteristic
127#11718708C2211yescharacteristic
128#11718708C2211yescharacteristic, complemented
129#11718703C2211yescharacteristic
130#11718703C2211yescharacteristic
131#11718702C2211yescharacteristic
132#11718701C2211yescharacteristic
133#11718701C2211yescharacteristic
134#11718701C2211yescharacteristic
135#11718700C2211yescharacteristic
136#11718698C2211yescharacteristic
137#11718692C2211yescharacteristic, complemented
138#11718692C2211yescharacteristic, complemented
139#11718692C2211yescharacteristic, complemented
140#11718692C2211yescharacteristic, complemented
141#11718692C2211yescharacteristic, complemented
142#11718692C2211yescharacteristic, complemented
143#11718692C2211yescharacteristic, complemented
144#11718691C2211yescharacteristic, complemented
145#11718691C2211yescharacteristic, complemented
146C4×#6107C2211yescharacteristic, complemented
147#11718689C2211yescharacteristic, complemented
148#11718689C2211yescharacteristic, complemented
149#11718689C2211yescharacteristic, complemented
150#11718687C2211yescharacteristic, complemented
151#11718685C2211yescharacteristic, complemented
152#11718685C2211yescharacteristic, complemented
153#11718683C2211yescharacteristic, complemented
154#11718683C2211yescharacteristic, complemented
155#11718680C2211yescharacteristic
156#11718680C2211yescharacteristic
157#11718680C2211yescharacteristic
158#11718680C2211yescharacteristic
159#11718680C2211yescharacteristic
160#11718680C2211yescharacteristic
161#11718680C2211yescharacteristic
162#11718680C2211yescharacteristic
163#11718680C2211yescharacteristic
164#11718679C2211yescharacteristic
165#11718679C2211yescharacteristic
166#11718679C2211yescharacteristic
167#11718679C2211yescharacteristic
168C4×#6105C2211yescharacteristic
169C4×#6105C2211yescharacteristic
170C4×#6105C2211yescharacteristic
171#11718677C2211yescharacteristic
172#11718677C2211yescharacteristic
173#11718677C2211yescharacteristic
174#11718677C2211yescharacteristic
175#11718677C2211yescharacteristic
176#11718675C2211yescharacteristic
177#11718673C2211yescharacteristic
178#11718673C2211yescharacteristic, complemented
179#11718672C2211yescharacteristic
180#11718672C2211yescharacteristic
181#11718672C2211yescharacteristic
182#11718672C2211yescharacteristic, complemented
183#11718670C2211yescharacteristic
184#11718670C2211yescharacteristic
185#11718665C2211yescharacteristic
186#11718665C2211yescharacteristic, complemented
187#11718665C2211yescharacteristic, complemented
188#11718664C2211yescharacteristic, complemented
189#11718663C2211yescharacteristic
190#11718661C2211yescharacteristic
191#11718661C2211yescharacteristic, complemented
192#11718660C2211yescharacteristic
193#11718660C2211yescharacteristic, complemented
194#11718657C2211yescharacteristic
195#11718657C2211yescharacteristic
196#11718657C2211yescharacteristic, complemented
197#11718632C2211yescharacteristic, complemented
198#11718631C2211yescharacteristic, complemented
199C2×#88050C2211yescharacteristic, complemented
200#11718627C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202#11718585C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C2×#6127C2311yescharacteristic
207C2×#6127C2311yescharacteristic
208C22×Dic26C2311yescharacteristic
209C22×Dic26C2311yescharacteristic
210C22×Dic26C2311yescharacteristic
211C22×Dic26C2311yescharacteristic
212C13×C4⋊Q8C2311yescharacteristic
213C13×C4⋊Q8C2311yescharacteristic
214C13×#126—21no—
215C13×#126—21no—
216C13×#126—21no—
217C13×#126—21no—
218C13×#126—21no—
219C13×#126—21no—
220C13×#126—21no—
221C13×#126—21no—
222C13×#126—21no—
223C13×#126—21no—
224C13×#126D411yescharacteristic
225C13×#126D411yescharacteristic
226C13×#125—21no—
227C13×#125—21no—
228C13×#125—21no—
229C13×#125D411yescharacteristic
230C13×#125C2311yescharacteristic
231C13×#125C2311yescharacteristic
232C13×#124—21no—
233C13×#124—21no—
234C13×#124D411yescharacteristic
235C13×#124C2311yescharacteristic
236C13×#124C2311yescharacteristic
237C13×#123—21no—
238C13×#123—21no—
239C13×#123—21no—
240C13×#123—21no—
241C13×#123—21no—
242C13×#123—21no—
243C13×#123—21no—
244C13×#123—21no—
245C13×#123D411yescharacteristic
246C13×#123D411yescharacteristic
247C13×C22⋊Q8—21no—
248C13×C22⋊Q8—21no—
249C13×C22⋊Q8—21no—
250C13×C22⋊Q8—21no—
251C13×C22⋊Q8—21no—
252C13×C22⋊Q8D411yescharacteristic
253C13×C22⋊Q8C2311yescharacteristic
254C13×C22⋊Q8C2311yescharacteristic
255C13×C22⋊Q8C2311yescharacteristic
256C13×C22⋊Q8C2311yescharacteristic
257C13×#121—21no—
258C13×#121—21no—
259C13×#121—21no—
260C13×#121—21no—
261C13×#121D411yescharacteristic
262C13×#121C2311yescharacteristic
263C13×#121C2311yescharacteristic
264C13×#120—21no—
265C13×#120—21no—
266C4×Q8×C13—21no—
267C4×Q8×C13C2311yescharacteristic
268C4×Q8×C13C2311yescharacteristic
269C4×Q8×C13C2311yescharacteristic
270C4×Q8×C13C2311yescharacteristic
271C4×Q8×C13C2311yescharacteristic
272C4×D4×C13—21no—
273C4×D4×C13—21no—
274C4×D4×C13—21no—
275C4×D4×C13—21no—
276C4×D4×C13—21no—
277C4×D4×C13—21no—
278C4×D4×C13—21no—
279C4×D4×C13—21no—
280C4×D4×C13C2311yescharacteristic
281C4×D4×C13C2311yescharacteristic
282C4×D4×C13C2311yescharacteristic
283C4×D4×C13C2311yescharacteristic
284C4×D4×C13C2311yescharacteristic
285C4×D4×C13C2311yescharacteristic
286C4×D4×C13C2311yescharacteristic
287C4×D4×C13C2311yescharacteristic
288C4×D4×C13C2311yescharacteristic
289C13×#117—21no—
290C13×#117—21no—
291C13×#117—21no—
292C13×#117—21no—
293C13×#117—21no—
294C13×#117C2311yescharacteristic
295C13×#117C2311yescharacteristic
296C13×#117C2311yescharacteristic
297C13×#117C2311yescharacteristic
298C2×C13×C4⋊C4—21no—
299C2×C13×C4⋊C4—21no—
300C2×C13×C4⋊C4—21no—
301C2×C13×C4⋊C4C2311yescharacteristic
302C2×C13×C22⋊C4—21no—
303C2×C13×C22⋊C4—21no—
304C2×C13×C22⋊C4—21no—
305C2×C13×C22⋊C4—21no—
306C2×C42×C13—21no—
307C2×C42×C13C2311yescharacteristic
308#88205—42no—
309#88205—42no—
310#88205—42no—
311#88204—42no—
312#88200—21no—
313Q8×Dic13—21no—
314C2×#6107C2311yescharacteristic
315C2×#6107C2311yescharacteristic
316C2×#6107C2311yescharacteristic
317C2×#6107C2311yescharacteristic
318C2×#6107C2311yescharacteristic
319C2×#6107C2311yescharacteristic
320C2×#6107C2311yescharacteristic
321C2×#6107C2311yescharacteristic
322C2×#6107C2311yescharacteristic
323C2×#6107C2311yescharacteristic
324C2×#6106C2311yescharacteristic
325C2×#6106C2311yescharacteristic
326#88193—21no—
327#88193—21no—
328#88192—21no—
329D4×Dic13—21no—
330D4×Dic13—21no—
331D4×Dic13—21no—
332C2×#6105—42no—
333C2×#6105C2311yescharacteristic
334C2×#6105C2311yescharacteristic
335C2×#6105C2311yescharacteristic
336C2×#6105C2311yescharacteristic
337C2×#6105C2311yescharacteristic
338C2×#6105C2311yescharacteristic
339C2×#6105C2311yescharacteristic
340C2×#6105C2311yescharacteristic
341C2×#6105C2311yescharacteristic
342C2×#6105C2311yescharacteristic
343#88186—42no—
344C2×#6104C2311yescharacteristic
345C2×#6104C2311yescharacteristic
346#88184C2311yescharacteristic
347#88183—21no—
348C4×C22⋊D13—21no—
349C2×C4⋊Dic13—21no—
350C2×C4⋊Dic13—21no—
351#88178C2311yescharacteristic
352#88178C2311yescharacteristic
353#88178C2311yescharacteristic
354#88178C2311yescharacteristic
355#88178C2311yescharacteristic
356C2×#6099C2311yescharacteristic
357C2×#6099C2311yescharacteristic
358C2×#6099C2311yescharacteristic
359C2×#6099C2311yescharacteristic
360C22×#1055C2311yescharacteristic
361C22×#1055C2311yescharacteristic
362#88152—21no—
363#88152—21no—
364#88151—21no—
365#88151—21no—
366#88151—21no—
367#88151—21no—
368#88150—21no—
369#88150—21no—
370#88146—21no—
371C4⋊C4×D13—21no—
372#88144—21no—
373#88144—21no—
374#88144—21no—
375#88143—21no—
376#88143—21no—
377#88143—21no—
378#88143—21no—
379#88142—21no—
380#88142—21no—
381#88142—21no—
382#88140—21no—
383#88140—21no—
384#88140—21no—
385#88140—21no—
386#88139—21no—
387#88139—21no—
388#88137—21no—
389#88137—21no—
390#88135—21no—
391#88135—21no—
392#88133—21no—
393#88133—21no—
394#88133—21no—
395#88133—21no—
396#88132—21no—
397#88132—21no—
398#88132—21no—
399#88132—21no—
400#88132—21no—
401#88132—21no—
402#88130—21no—
403#88129C2311yescharacteristic
404#88129C2311yescharacteristic
405#88129C2311yescharacteristic
406C4×D52C2311yescharacteristic
407#88126—21no—
408#88124C2311yescharacteristic
409#88123—21no—
410#88123—21no—
411#88123C2311yescharacteristic
412#88123C2311yescharacteristic
413#88123C2311yescharacteristic
414#88123C2311yescharacteristic
415#88123C2311yescharacteristic
416#88123C2311yescharacteristic
417C4×Dic26C2311yescharacteristic
418C4×Dic26C2311yescharacteristic
419C4×Dic26C2311yescharacteristic
420C4×Dic26C2311yescharacteristic
421C4×Dic26C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88072C2311yescharacteristic
427#88072C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433C22⋊#1055C2311yescharacteristic
434C22⋊#1055C2311yescharacteristic
435C22⋊#1055C2311yescharacteristic
436#88050C2311yescharacteristic
437#88050C2311yescharacteristic
438#88050C2311yescharacteristic
439#88050C2311yescharacteristic
440#88050C2311yescharacteristic
441#88050C2311yescharacteristic
442#88050C2311yescharacteristic
443#88050C2311yescharacteristic
444#88050C2311yescharacteristic
445#88050C2311yescharacteristic
446#88050C2311yescharacteristic
447#88050C2311yescharacteristic
448#88050C2311yescharacteristic
449#88050C2311yescharacteristic
450#88050C2311yescharacteristic
451#88050C2311yescharacteristic
452#88050C2311yescharacteristic
453#88050C2311yescharacteristic
454#88050C2311yescharacteristic
455#88050C2311yescharacteristic
456#88049C2311yescharacteristic
457#88049C2311yescharacteristic
458#88049C2311yescharacteristic
459#88049C2311yescharacteristic
460#88048C2311yescharacteristic
461#88048C2311yescharacteristic
462#88048C2311yescharacteristic
463#88048C2311yescharacteristic
464#88047C2311yescharacteristic
465#88047C2311yescharacteristic
466#88047C2311yescharacteristic
467#88047C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471C4⋊#1055C2311yescharacteristic
472C4⋊#1055C2311yescharacteristic
473C4⋊#1055C2311yescharacteristic
474C4⋊#1055C2311yescharacteristic
475C4⋊#1055C2311yescharacteristic
476C4⋊#1055C2311yescharacteristic
477C4⋊#1055C2311yescharacteristic
478#88043C2311yescharacteristic
479#88043C2311yescharacteristic
480#88043C2311yescharacteristic
481#88043C2311yescharacteristic
482C4×#1055C2311yescharacteristic
483C4×#1055C2311yescharacteristic
484#62080—131nomaximal, Sylow
485C24×C13—21no—
486C13×#41—22no—
487C13×#41—22no—
488C13×#41—41no—
489C13×#41—41no—
490C2×Q8×C13—21no—
491C2×Q8×C13C2×D411yescharacteristic
492C2×Q8×C13C2411yescharacteristic
493C2×Q8×C13C2411yescharacteristic
494C2×D4×C13—22no—
495C2×D4×C13—21no—
496C2×D4×C13—21no—
497C2×D4×C13—21no—
498C2×D4×C13—21no—
499C2×D4×C13—21no—
500C2×D4×C13—41no—
501C2×D4×C13C2×D411yescharacteristic
502C2×D4×C13C2×D411yescharacteristic
503C2×D4×C13C2×D411yescharacteristic
504C2×D4×C13C2411yescharacteristic
505C2×D4×C13C2411yescharacteristic
506C22×C4×C13—21no—
507C22×C4×C13—21no—
508C22×C4×C13—21no—
509C22×C4×C13—21no—
510C22×C4×C13—21no—
511C22×C4×C13—21no—
512C22×C4×C13—21no—
513C22×C4×C13—21no—
514C22×C4×C13—21no—
515C22×C4×C13C2×D411yescharacteristic
516C22×C4×C13C2×D411yescharacteristic
517C22×C4×C13C2411yescharacteristic
518C22×C4×C13C2411yescharacteristic
519C22×C4×C13C2411yescharacteristic
520C2×C22⋊D13—21no—
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
523C22×Dic13—21no—
524C22×Dic13—21no—
525C22×Dic13—21no—
526C22×Dic13—21no—
527#6127—41no—
528#6127—41no—
529#6127—41no—
530#6127—41no—
531C2×D52C2411yescharacteristic
532C2×C4×D13—21no—
533C2×C4×D13—21no—
534C2×C4×D13—21no—
535C2×Dic26—21no—
536C2×Dic26—21no—
537C2×Dic26—21no—
538C2×Dic26—21no—
539C2×Dic26—41no—
540C2×Dic26—41no—
541C2×Dic26—41no—
542C2×Dic26—41no—
543C2×Dic26—41no—
544C2×Dic26—41no—
545C2×Dic26—41no—
546C2×Dic26—41no—
547C2×Dic26C2411yescharacteristic
548C2×Dic26C2411yescharacteristic
549C2×Dic26C2411yescharacteristic
550C2×Dic26C2411yescharacteristic
551C2×Dic26C2411yescharacteristic
552C13×C4⋊C4—21no—
553C13×C4⋊C4—21no—
554C13×C4⋊C4—21no—
555C13×C4⋊C4—21no—
556C13×C4⋊C4—21no—
557C13×C4⋊C4—21no—
558C13×C4⋊C4—21no—
559C13×C4⋊C4—21no—
560C13×C4⋊C4—21no—
561C13×C4⋊C4—21no—
562C13×C4⋊C4—21no—
563C13×C4⋊C4—21no—
564C13×C4⋊C4—21no—
565C13×C4⋊C4—21no—
566C13×C4⋊C4—21no—
567C13×C4⋊C4—21no—
568C13×C4⋊C4C2×D411yescharacteristic
569C13×C4⋊C4C2×D411yescharacteristic
570C13×C4⋊C4C2×D411yescharacteristic
571C13×C4⋊C4C2×D411yescharacteristic
572C13×C4⋊C4C2×D411yescharacteristic
573C13×C4⋊C4C2×D411yescharacteristic
574C13×C4⋊C4C2×D411yescharacteristic
575C13×C4⋊C4C2×D411yescharacteristic
576C13×C4⋊C4C2×D411yescharacteristic
577C13×C4⋊C4C2×D411yescharacteristic
578C13×C4⋊C4C2411yescharacteristic
579C13×C4⋊C4C2411yescharacteristic
580C13×C4⋊C4C2411yescharacteristic
581C13×C4⋊C4C2411yescharacteristic
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4—21no—
587C13×C22⋊C4—21no—
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
590C13×C22⋊C4—21no—
591C13×C22⋊C4—21no—
592C13×C22⋊C4—21no—
593C13×C22⋊C4—21no—
594C13×C22⋊C4—21no—
595C13×C22⋊C4—21no—
596C13×C22⋊C4—21no—
597C13×C22⋊C4—21no—
598C13×C22⋊C4—21no—
599C13×C22⋊C4—21no—
600C13×C22⋊C4C2×D411yescharacteristic
601C13×C22⋊C4C2×D411yescharacteristic
602C13×C22⋊C4C2×D411yescharacteristic
603C13×C22⋊C4C2×D411yescharacteristic
604C13×C22⋊C4C2×D411yescharacteristic
605C13×C22⋊C4C2×D411yescharacteristic
606C13×C22⋊C4C2×D411yescharacteristic
607C13×C22⋊C4C2×D411yescharacteristic
608C13×C22⋊C4C2×D411yescharacteristic
609C13×C22⋊C4C2×D411yescharacteristic
610C42×C13—21no—
611C42×C13—21no—
612C42×C13—21no—
613C42×C13—21no—
614C42×C13—21no—
615C42×C13—21no—
616C42×C13C2×D411yescharacteristic
617C42×C13C2×D411yescharacteristic
618C42×C13C2411yescharacteristic
619C42×C13C2411yescharacteristic
620C42×C13C2411yescharacteristic
621C42×C13C2411yescharacteristic
622C22⋊Dic13—21no—
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626C22⋊Dic13—21no—
627#6107—41no—
628#6107—41no—
629#6107—41no—
630#6107—41no—
631#6107—41no—
632#6107—41no—
633#6107—41no—
634#6107—41no—
635#6107—41no—
636#6107—41no—
637#6106—41no—
638#6106—41no—
639#6105—22no—
640#6105—22no—
641#6105—22no—
642#6105—22no—
643#6105—22no—
644#6105—41no—
645#6105—41no—
646#6105—41no—
647#6105—41no—
648#6105—41no—
649#6104—22no—
650#6104—41no—
651#6103—21no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103—21no—
656#6103—21no—
657#6103—21no—
658#6103—21no—
659C4⋊Dic13—21no—
660C4⋊Dic13—21no—
661C4⋊Dic13—21no—
662C4⋊Dic13—21no—
663C4⋊Dic13—21no—
664C4⋊Dic13—21no—
665C4⋊Dic13—21no—
666C4⋊Dic13—21no—
667C4⋊Dic13—21no—
668C4⋊Dic13—21no—
669C4⋊Dic13—21no—
670C4⋊Dic13—21no—
671C4⋊Dic13C2411yescharacteristic
672C4⋊Dic13C2411yescharacteristic
673#6101—21no—
674#6101—21no—
675#6101—21no—
676#6101—21no—
677#6101—21no—
678#6101—21no—
679#6101—21no—
680#6101—21no—
681#6101—21no—
682#6101—21no—
683#6101—21no—
684#6101—21no—
685C4×Dic13—21no—
686C4×Dic13—21no—
687C4×Dic13—21no—
688C4×Dic13—21no—
689C4×Dic13—21no—
690#6099—41no—
691#6099—41no—
692#6099—41no—
693#6099—41no—
694C2×#1055—41no—
695C2×#1055—41no—
696C2×#1055C2411yescharacteristic
697C2×#1055C2411yescharacteristic
698C2×#1055C2411yescharacteristic
699C2×#1055C2411yescharacteristic
700C2×#1055C2411yescharacteristic
701C2×#1055C2411yescharacteristic
702C2×#1055C2411yescharacteristic
703C2×#1055C2411yescharacteristic
704#3552—131no—
705#3521D1311yescharacteristic, complemented
706#3402—131no—
707#3398—131no—
708#3376—131no—
709#3372—131no—
710#3328—131no—
711#3326—131no—
712#3320—131no—
713#3315—131no—
714#3313—131no—
715#3312—131no—
716#3276—131no—
717#3275—131no—
718#3269—131no—
719#3267—131no—
720#3266—131no—
721#3266—131no—
722#3261—131no—
723#3258—131no—
724#3256—131no—
725#3225—131no—
726#3223—131no—
727#3218—131no—
728#3123—131no—
729#3120—131no—
730#3111—131no—
731#3046—131no—
732#3042—131no—
733#3039—131no—
734#2995—131no—
735C23×C13—21no—
736C23×C13—21no—
737C23×C13—42no—
738C23×C13—81no—
739C23×C13—81no—
740C23×C13C22×D411yescharacteristic
741C23×C13C22×D411yescharacteristic
742C23×C13C22×D411yescharacteristic
743C22×D13—21no—
744Q8×C13—21no—
745Q8×C13—21no—
746Q8×C13—21no—
747Q8×C13—21no—
748Q8×C13—41no—
749Q8×C13—81no—
750D4×C13—21no—
751D4×C13—21no—
752D4×C13—21no—
753D4×C13—41no—
754D4×C13—41no—
755D4×C13—41no—
756D4×C13—42no—
757D4×C13—42no—
758D4×C13—42no—
759D4×C13—81no—
760D4×C13—81no—
761D4×C13H(5,𝔽2)12yes—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—21no—
769C2×C4×C13—21no—
770C2×C4×C13—21no—
771C2×C4×C13—21no—
772C2×C4×C13—21no—
773C2×C4×C13—21no—
774C2×C4×C13—41no—
775C2×C4×C13—41no—
776C2×C4×C13—42no—
777C2×C4×C13—42no—
778C2×C4×C13—81no—
779C2×C4×C13—81no—
780C2×C4×C13—81no—
781C2×C4×C13—81no—
782C2×C4×C13—81no—
783C2×C4×C13—81no—
784C2×C4×C13—81no—
785C2×C4×C13C22×D411yescharacteristic
786C2×C4×C13C22×D411yescharacteristic
787C2×C4×C13C22×D411yescharacteristic
788C2×C4×C13C22×D411yescharacteristic
789C2×C4×C13C22×D411yescharacteristic
790C2×C4×C13C22×D411yescharacteristic
791C2×C4×C13C22×D411yescharacteristic
792C2×C4×C13C22×D411yescharacteristic
793C2×C4×C13C22×D411yescharacteristic
794C2×C4×C13C22×D411yescharacteristic
795C2×C4×C13C22×D411yescharacteristic
796C2×C4×C13C2511yescharacteristic
797C22⋊D13—42no—
798C22⋊D13—81no—
799C22⋊D13—81no—
800C2×Dic13—21no—
801C2×Dic13—21no—
802C2×Dic13—21no—
803C2×Dic13—21no—
804C2×Dic13—21no—
805C2×Dic13—21no—
806C2×Dic13—21no—
807C2×Dic13—81no—
808C2×Dic13—81no—
809C2×Dic13—81no—
810C2×Dic13—81no—
811D52—21no—
812D52—21no—
813C4×D13—42no—
814C4×D13—81no—
815C4×D13—81no—
816Dic26—21no—
817Dic26—21no—
818Dic26—21no—
819Dic26—21no—
820Dic26—21no—
821Dic26—21no—
822Dic26—21no—
823Dic26—21no—
824Dic26—21no—
825Dic26—21no—
826Dic26—81no—
827Dic26—81no—
828Dic26—81no—
829Dic26—81no—
830#1055—21no—
831#1055—21no—
832#1055—21no—
833#1055—21no—
834#1055—21no—
835#1055—21no—
836#1055—21no—
837#1055—21no—
838C2×#137—131no—
839C2×#137—131no—
840C2×#137—131no—
841C2×AGL(1,ℤ/8)—131no—
842C2×#135—131no—
843C22×SD16—131no—
844#563—261no—
845#563—261no—
846#557—131no—
847#556—131no—
848#556C2×D1311yescharacteristic
849#556C2×D1311yescharacteristic
850#554—261no—
851#554C2×D1311yescharacteristic
852#553—21no—
853#553—261no—
854#553C2×D1311yescharacteristic
855#552—21no—
856#552C2×D1311yescharacteristic
857#551—21no—
858#551—21no—
859D4×Q8—131no—
860D4×Q8—131no—
861D4×Q8—131no—
862#548—131no—
863#548—131no—
864#547—131no—
865#547C2×D1311yescharacteristic
866#546C2×D1311yescharacteristic
867#546C2×D1311yescharacteristic
868#544—261no—
869#542—261no—
870#542C2×D1311yescharacteristic
871#541—131no—
872#541—131no—
873#541C2×D1311yescharacteristic
874#539—21no—
875#539—261no—
876#539—261no—
877#538—21no—
878#536—131no—
879#536—131no—
880C2×C4⋊Q8—131no—
881#529—21no—
882#529—131no—
883#529C2×D1311yescharacteristic
884#529C2×D1311yescharacteristic
885C2×#126—21no—
886#520C2×D1311yescharacteristic
887#518C2×D1311yescharacteristic
888C4×#41C2×D1311yescharacteristic
889#497—131no—
890#497—131no—
891#497—131no—
892#497—131no—
893#495—131no—
894#494—131no—
895#491—131no—
896#491—131no—
897#491—131no—
898#489—131no—
899#488—131no—
900#487—131no—
901#485—131no—
902#485—131no—
903#485—131no—
904#484—131no—
905#483—131no—
906#482—131no—
907#479—131no—
908#479—131no—
909#479—131no—
910#479—131no—
911#479—131no—
912#478—131no—
913#478—131no—
914#478—131no—
915#477—131no—
916#475—131no—
917#470—131no—
918#470—131no—
919#470—131no—
920#470—131no—
921#469—131no—
922#468—131no—
923#468—131no—
924#468—131no—
925#467—131no—
926#467—131no—
927#467—131no—
928#465—131no—
929#464—131no—
930#464—131no—
931#464—131no—
932#464—131no—
933#464—131no—
934#464—131no—
935#463—131no—
936#463—131no—
937#463—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#462—131no—
942#462—131no—
943#462—131no—
944#462—131no—
945#462—131no—
946#462—131no—
947#462—131no—
948#462—131no—
949#462—131no—
950#461—131no—
951#461—131no—
952#461—131no—
953#461—131no—
954#461—131no—
955#461—131no—
956#461—131no—
957#461—131no—
958#461—131no—
959#452—131no—
960#452—131no—
961#452—131no—
962#452—131no—
963#452—131no—
964#452—131no—
965#451—131no—
966#451—131no—
967#451—131no—
968#451—131no—
969#451—131no—
970#450—131no—
971#450—131no—
972#449—131no—
973#449—131no—
974#448—131no—
975#448—131no—
976#448—131no—
977#446—131no—
978#446—131no—
979#442—131no—
980#441—131no—
981#441—131no—
982#440—131no—
983#440—131no—
984#440—131no—
985#440—131no—
986#440—131no—
987C4×Q16—131no—
988C4×SD16—131no—
989C4×SD16—131no—
990C4×SD16—131no—
991#436—131no—
992#436—131no—
993#435—131no—
994#435—131no—
995#435—131no—
996#435—131no—
997#433—131no—
998#433—131no—
999#432—131no—
1000#424—131no—
1001#424—131no—
1002#423—131no—
1003#419—131no—
1004#419—131no—
1005#419—131no—
1006#417—131no—
1007#416—131no—
1008C2×#103—131no—
1009C22×C13—21no—
1010C22×C13—21no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—21no—
1014C22×C13—21no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—22no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—41no—
1024C22×C13—162no—
1025C22×C13C23×D411yescharacteristic
1026C2×D13—41no—
1027C2×D13—41no—
1028C2×D13—41no—
1029C4×C13—21no—
1030C4×C13—21no—
1031C4×C13—21no—
1032C4×C13—21no—
1033C4×C13—21no—
1034C4×C13—21no—
1035C4×C13—21no—
1036C4×C13—21no—
1037C4×C13—21no—
1038C4×C13—21no—
1039C4×C13—21no—
1040C4×C13—41no—
1041C4×C13—41no—
1042C4×C13—41no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13C2×H(5,𝔽2)11yescharacteristic
1047C4×C13#58511yescharacteristic
1048Dic13—41no—
1049Dic13—41no—
1050Dic13—41no—
1051Dic13—41no—
1052Dic13—41no—
1053Dic13—41no—
1054Dic13—41no—
1055C2×#41—131no—
1056C2×#41—131no—
1057C2×#41C22×D1311yescharacteristic
1058C2×#41C22×D1311yescharacteristic
1059C22×Q8—131no—
1060C22×Q8—131no—
1061C22×Q8—131no—
1062C22×Q8—131no—
1063C22×D4C22×D1311yescharacteristic
1064#137—522no—
1065#137—522no—
1066#137—522no—
1067AGL(1,ℤ/8)—522no—
1068#135—522no—
1069C2×Q16—131no—
1070C2×Q16—131no—
1071C2×Q16—131no—
1072C2×Q16—131no—
1073C2×Q16—131no—
1074C2×Q16—131no—
1075C2×Q16—131no—
1076C2×Q16—131no—
1077C2×Q16—131no—
1078C2×Q16—131no—
1079C2×SD16—131no—
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16—131no—
1085C2×SD16—131no—
1086C2×SD16—131no—
1087C2×SD16—131no—
1088C2×SD16—131no—
1089C2×SD16—131no—
1090C2×SD16—131no—
1091C2×SD16—522no—
1092C2×D8—131no—
1093C2×D8—131no—
1094C2×M16—131no—
1095C2×M16—131no—
1096C2×M16—131no—
1097C2×M16—131no—
1098C22×C8—131no—
1099C22×C8—131no—
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8—131no—
1103C4⋊Q8—131no—
1104C4⋊Q8—131no—
1105C4⋊Q8—131no—
1106C4⋊Q8—261no—
1107C4⋊Q8—261no—
1108C4⋊Q8—261no—
1109C4⋊Q8—261no—
1110C4⋊Q8—261no—
1111C4⋊Q8C22×D1311yescharacteristic
1112C4⋊Q8C22×D1311yescharacteristic
1113#126—21no—
1114#126—21no—
1115#126—21no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—261no—
1124#126—261no—
1125#126—261no—
1126#126—261no—
1127#126—261no—
1128#126—261no—
1129#126—261no—
1130#126C22⋊D1311yescharacteristic
1131#126C22⋊D1311yescharacteristic
1132#125—21no—
1133#125—21no—
1134#125—21no—
1135#125—131no—
1136#125—261no—
1137#125—261no—
1138#125—261no—
1139#125—261no—
1140#125—261no—
1141#125—261no—
1142#125—261no—
1143#125C22⋊D1311yescharacteristic
1144#125C22×D1311yescharacteristic
1145#125C22×D1311yescharacteristic
1146#124—21no—
1147#124—21no—
1148#124—131no—
1149#124—131no—
1150#124—131no—
1151#124—261no—
1152#124—261no—
1153#124C22⋊D1311yescharacteristic
1154#124C22×D1311yescharacteristic
1155#124C22×D1311yescharacteristic
1156#123—21no—
1157#123—21no—
1158#123—21no—
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—21no—
1163#123—21no—
1164#123—261no—
1165#123—261no—
1166#123—261no—
1167#123—261no—
1168#123—261no—
1169#123—261no—
1170#123—261no—
1171#123C22⋊D1311yescharacteristic
1172#123C22⋊D1311yescharacteristic
1173C22⋊Q8—21no—
1174C22⋊Q8—21no—
1175C22⋊Q8—21no—
1176C22⋊Q8—21no—
1177C22⋊Q8—21no—
1178C22⋊Q8—131no—
1179C22⋊Q8—131no—
1180C22⋊Q8—131no—
1181C22⋊Q8—131no—
1182C22⋊Q8—131no—
1183C22⋊Q8—261no—
1184C22⋊Q8—261no—
1185C22⋊Q8—261no—
1186C22⋊Q8—261no—
1187C22⋊Q8—261no—
1188C22⋊Q8—261no—
1189C22⋊Q8—261no—
1190C22⋊Q8—261no—
1191C22⋊Q8—261no—
1192C22⋊Q8—261no—
1193C22⋊Q8—261no—
1194C22⋊Q8—261no—
1195C22⋊Q8—261no—
1196C22⋊Q8C22⋊D1311yescharacteristic
1197C22⋊Q8C22×D1311yescharacteristic
1198C22⋊Q8C22×D1311yescharacteristic
1199C22⋊Q8C22×D1311yescharacteristic
1200C22⋊Q8C22×D1311yescharacteristic
1201#121—21no—
1202#121—21no—
1203#121—21no—
1204#121—21no—
1205#121—131no—
1206#121—261no—
1207#121—261no—
1208#121—261no—
1209#121C22⋊D1311yescharacteristic
1210#121C22×D1311yescharacteristic
1211#121C22×D1311yescharacteristic
1212#120—21no—
1213#120—21no—
1214C4×Q8—21no—
1215C4×Q8—131no—
1216C4×Q8—131no—
1217C4×Q8—131no—
1218C4×Q8—131no—
1219C4×Q8—131no—
1220C4×Q8—261no—
1221C4×Q8C22×D1311yescharacteristic
1222C4×Q8C22×D1311yescharacteristic
1223C4×Q8C22×D1311yescharacteristic
1224C4×Q8C22×D1311yescharacteristic
1225C4×Q8C22×D1311yescharacteristic
1226C4×D4—21no—
1227C4×D4—21no—
1228C4×D4—21no—
1229C4×D4—21no—
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—131no—
1235C4×D4—261no—
1236C4×D4—261no—
1237C4×D4—261no—
1238C4×D4—261no—
1239C4×D4—261no—
1240C4×D4—261no—
1241C4×D4C22×D1311yescharacteristic
1242C4×D4C22×D1311yescharacteristic
1243C4×D4C22×D1311yescharacteristic
1244C4×D4C22×D1311yescharacteristic
1245C4×D4C22×D1311yescharacteristic
1246C4×D4C22×D1311yescharacteristic
1247C4×D4C22×D1311yescharacteristic
1248C4×D4C22×D1311yescharacteristic
1249C4×D4C22×D1311yescharacteristic
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—261no—
1256#117—261no—
1257#117C22×D1311yescharacteristic
1258#117C22×D1311yescharacteristic
1259#117C22×D1311yescharacteristic
1260#117C22×D1311yescharacteristic
1261C2×C4⋊C4—21no—
1262C2×C4⋊C4—21no—
1263C2×C4⋊C4—21no—
1264C2×C4⋊C4—261no—
1265C2×C4⋊C4—261no—
1266C2×C4⋊C4—261no—
1267C2×C4⋊C4C22×D1311yescharacteristic
1268C2×C22⋊C4—21no—
1269C2×C22⋊C4—21no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C42—21no—
1273C2×C42C22×D1311yescharacteristic
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107—131no—
1278#106—131no—
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282C4⋊C8—131no—
1283C4⋊C8—131no—
1284C4⋊C8—131no—
1285C4⋊C8—131no—
1286C4⋊C8—131no—
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
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#103—131no—
1305#103—131no—
1306#103—131no—
1307#103—131no—
1308#103—131no—
1309#103—131no—
1310#103—131no—
1311#103—131no—
1312#103—131no—
1313#103—131no—
1314#103—131no—
1315#103—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⋊C8—131no—
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8—131no—
1330#97—131no—
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334C4×C8—131no—
1335C4×C8—131no—
1336C2×C13—41no—
1337C2×C13—41no—
1338C2×C13—41no—
1339C2×C13—42no—
1340C2×C13—81no—
1341C2×C13#348811yescharacteristic
1342C2×C13#358611yescharacteristic
1343C2×C13#358611yescharacteristic
1344D13—81no—
1345C24—21no—
1346#41—22no—
1347#41—22no—
1348#41—41no—
1349#41—41no—
1350#41—521no—
1351#41—521no—
1352#41—521no—
1353#41—521no—
1354C2×Q8—21no—
1355C2×Q8—131no—
1356C2×Q8—131no—
1357C2×Q8—131no—
1358C2×Q8—131no—
1359C2×Q8—131no—
1360C2×Q8—261no—
1361C2×Q8—261no—
1362C2×Q8—261no—
1363C2×Q8—261no—
1364C2×Q8—521no—
1365C2×Q8—521no—
1366C2×Q8—521no—
1367C2×Q8—521no—
1368C2×Q8—521no—
1369C2×Q8—521no—
1370C2×Q8—521no—
1371C2×Q8—521no—
1372C2×Q8C2×C22⋊D1311yescharacteristic
1373C2×Q8C23×D1311yescharacteristic
1374C2×Q8C23×D1311yescharacteristic
1375C2×D4—22no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—41no—
1382C2×D4—131no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—261no—
1386C2×D4C2×C22⋊D1311yescharacteristic
1387C2×D4C2×C22⋊D1311yescharacteristic
1388C2×D4C2×C22⋊D1311yescharacteristic
1389C2×D4C23×D1311yescharacteristic
1390C2×D4C23×D1311yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—261no—
1401C22×C4—261no—
1402C22×C4—261no—
1403C22×C4—261no—
1404C22×C4—261no—
1405C22×C4—261no—
1406C22×C4—261no—
1407C22×C4C2×C22⋊D1311yescharacteristic
1408C22×C4C2×C22⋊D1311yescharacteristic
1409C22×C4C23×D1311yescharacteristic
1410C22×C4C23×D1311yescharacteristic
1411C22×C4C23×D1311yescharacteristic
1412Q16—521no—
1413Q16—521no—
1414Q16—521no—
1415Q16—521no—
1416Q16—521no—
1417Q16—521no—
1418Q16—521no—
1419Q16—521no—
1420Q16—521no—
1421Q16—521no—
1422SD16—262no—
1423SD16—262no—
1424SD16—262no—
1425SD16—262no—
1426SD16—262no—
1427SD16—521no—
1428SD16—521no—
1429SD16—521no—
1430SD16—521no—
1431SD16—521no—
1432SD16—521no—
1433SD16—521no—
1434D8—262no—
1435D8—521no—
1436M16—521no—
1437M16—521no—
1438M16—521no—
1439M16—521no—
1440C2×C8—131no—
1441C2×C8—131no—
1442C2×C8—131no—
1443C2×C8—131no—
1444C2×C8—131no—
1445C2×C8—131no—
1446C2×C8—131no—
1447C2×C8—131no—
1448C2×C8—521no—
1449C2×C8—521no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—261no—
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⋊C4C2×C22⋊D1311yescharacteristic
1493C4⋊C4C2×C22⋊D1311yescharacteristic
1494C4⋊C4C2×C22⋊D1311yescharacteristic
1495C4⋊C4C2×C22⋊D1311yescharacteristic
1496C4⋊C4C2×C22⋊D1311yescharacteristic
1497C4⋊C4C2×C22⋊D1311yescharacteristic
1498C4⋊C4C2×C22⋊D1311yescharacteristic
1499C4⋊C4C2×C22⋊D1311yescharacteristic
1500C4⋊C4C2×C22⋊D1311yescharacteristic
1501C4⋊C4C2×C22⋊D1311yescharacteristic
1502C4⋊C4C23×D1311yescharacteristic
1503C4⋊C4C23×D1311yescharacteristic
1504C4⋊C4C23×D1311yescharacteristic
1505C4⋊C4C23×D1311yescharacteristic
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
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⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4C2×C22⋊D1311yescharacteristic
1538C22⋊C4C2×C22⋊D1311yescharacteristic
1539C22⋊C4C2×C22⋊D1311yescharacteristic
1540C22⋊C4C2×C22⋊D1311yescharacteristic
1541C22⋊C4C2×C22⋊D1311yescharacteristic
1542C22⋊C4C2×C22⋊D1311yescharacteristic
1543C22⋊C4C2×C22⋊D1311yescharacteristic
1544C22⋊C4C2×C22⋊D1311yescharacteristic
1545C22⋊C4C2×C22⋊D1311yescharacteristic
1546C22⋊C4C2×C22⋊D1311yescharacteristic
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—21no—
1552C42—21no—
1553C42—261no—
1554C42—261no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42C2×C22⋊D1311yescharacteristic
1559C42C2×C22⋊D1311yescharacteristic
1560C42C23×D1311yescharacteristic
1561C42C23×D1311yescharacteristic
1562C42C23×D1311yescharacteristic
1563C42C23×D1311yescharacteristic
1564C13#6208011yescharacteristic, complemented, Sylow
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—81no—
1569C23—81no—
1570C23—261no—
1571C23C22×C22⋊D1311yescharacteristic
1572C23C22×C22⋊D1311yescharacteristic
1573C23C22×C22⋊D1311yescharacteristic
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—41no—
1579Q8—81no—
1580Q8—261no—
1581Q8—261no—
1582Q8—261no—
1583Q8—261no—
1584Q8—261no—
1585Q8—261no—
1586Q8—261no—
1587Q8—261no—
1588Q8—261no—
1589Q8—261no—
1590Q8—1041no—
1591Q8—1041no—
1592Q8—1041no—
1593Q8—1041no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—41no—
1598D4—41no—
1599D4—41no—
1600D4—42no—
1601D4—42no—
1602D4—42no—
1603D4—81no—
1604D4—81no—
1605D4—261no—
1606D4—261no—
1607D4—522no—
1608D4—1041no—
1609D4—1041no—
1610D4#8825612yes—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—261no—
1635C2×C4—261no—
1636C2×C4—261no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—522no—
1642C2×C4—1041no—
1643C2×C4—1041no—
1644C2×C4—1041no—
1645C2×C4—1041no—
1646C2×C4—1041no—
1647C2×C4—1041no—
1648C2×C4C22×C22⋊D1311yescharacteristic
1649C2×C4C22×C22⋊D1311yescharacteristic
1650C2×C4C22×C22⋊D1311yescharacteristic
1651C2×C4C22×C22⋊D1311yescharacteristic
1652C2×C4C22×C22⋊D1311yescharacteristic
1653C2×C4C22×C22⋊D1311yescharacteristic
1654C2×C4C22×C22⋊D1311yescharacteristic
1655C2×C4C22×C22⋊D1311yescharacteristic
1656C2×C4C22×C22⋊D1311yescharacteristic
1657C2×C4C22×C22⋊D1311yescharacteristic
1658C2×C4C22×C22⋊D1311yescharacteristic
1659C2×C4C24×D1311yescharacteristic
1660C8—261no—
1661C8—261no—
1662C8—261no—
1663C8—261no—
1664C8—261no—
1665C8—261no—
1666C8—261no—
1667C8—261no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—22no—
1672C22—21no—
1673C22—21no—
1674C22—21no—
1675C22—21no—
1676C22—21no—
1677C22—21no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—162no—
1684C22—521no—
1685C22—521no—
1686C22—521no—
1687C22C23×C22⋊D1311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C4—521no—
1711C4—521no—
1712C4C2×#8825611yescharacteristic
1713C4#1171964811yescharacteristic
1714C2—41no—
1715C2—41no—
1716C2—41no—
1717C2—42no—
1718C2—81no—
1719C2—1041no—
1720C2#1312850511yescharacteristic
1721C2#1312962211yescharacteristic
1722C2#1312962211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3521C2
socleC22×C13C23×D4
hypercenter#3521D13
hypocenterC13#62080
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3521

Complements

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

NH ≅ G/Ntype
1. #13129281C2semidirect
2. #13127911C2semidirect
3. #13127867C2semidirect
4. #13127663C2semidirect
5. #13127617C2semidirect
6. #13127113C2semidirect
7. #13127083C2semidirect
8. #13127001C2semidirect
9. #13126926C2semidirect
10. #13126896C2semidirect
11. #13126881C2semidirect
12. #13126478C2semidirect
13. #13126463C2semidirect
14. #13126387C2semidirect
15. #13126357C2semidirect
16. #13126342C2semidirect
17. #13126342C2semidirect
18. #13126286C2semidirect
19. #13126262C2semidirect
20. #13126232C2semidirect
21. #13125939C2semidirect
22. #13125913C2semidirect
23. #13125860C2semidirect
24. #13125088C2semidirect
25. #13125050C2semidirect
26. #13124945C2semidirect
27. #13124386C2semidirect
28. #13124348C2semidirect
29. #13124323C2semidirect
30. #13124006C2semidirect
31. C13×#3521C2semidirect
69. #11719289C22semidirect
70. #11719275C22semidirect
72. #11719257C22semidirect
76. D4×Dic26C22semidirect
78. #11719231C22semidirect
80. #11719223C22semidirect
81. #11719184C22semidirect
82. C2×#88123C22semidirect
89. #11718755C22semidirect
90. #11718754C22semidirect
91. #11718753C22semidirect
92. #11718752C22semidirect
93. #11718751C22semidirect
94. #11718751C22semidirect
95. #11718750C22semidirect
96. #11718747C22semidirect
97. #11718730C22semidirect
98. #11718730C22semidirect
99. #11718730C22semidirect
100. #11718729C22semidirect
101. #11718727C22semidirect
102. #11718724C22semidirect
103. #11718724C22semidirect
104. #11718724C22semidirect
115. #11718713C22semidirect
116. #11718713C22semidirect
119. #11718712C22semidirect
122. #11718711C22semidirect
123. #11718711C22semidirect
124. #11718711C22semidirect
125. #11718710C22semidirect
128. #11718708C22semidirect
137. #11718692C22semidirect
138. #11718692C22semidirect
139. #11718692C22semidirect
140. #11718692C22semidirect
141. #11718692C22semidirect
142. #11718692C22semidirect
143. #11718692C22semidirect
144. #11718691C22semidirect
145. #11718691C22semidirect
146. C4×#6107C22semidirect
147. #11718689C22semidirect
148. #11718689C22semidirect
149. #11718689C22semidirect
150. #11718687C22semidirect
151. #11718685C22semidirect
152. #11718685C22semidirect
153. #11718683C22semidirect
154. #11718683C22semidirect
178. #11718673C22semidirect
182. #11718672C22semidirect
186. #11718665C22semidirect
187. #11718665C22semidirect
188. #11718664C22semidirect
191. #11718661C22semidirect
193. #11718660C22semidirect
196. #11718657C22semidirect
197. #11718632C22semidirect
198. #11718631C22semidirect
199. C2×#88050C22semidirect
200. #11718627C22semidirect
201. #11718587C22semidirect
202. #11718585C22semidirect
705. #3521D13semidirect
1564. C13#62080semidirect

Maximal subgroups

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

subgroupindex
#131292812
#131279112
#131278672
#131276632
#131276172
#131271132
#131270832
#131270012
#131269262
#131268962
#131268812
#131264782
#131264632
#131263872
#131263572
#131263422
#131262862
#131262622
#131262322
#131259392
#131259132
#131258602
#131250882
#131250502
#131249452
#131243862
#131243482
#131243232
#131240062
C13×#35212
#6208013