Finite Group Databasebeta

← #16744930

Subgroups — #16744930

Order 3328.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128400C211yesmaximal, characteristic, complemented
2#13127911C211yesmaximal, characteristic, complemented
3#13127775C211yesmaximal, characteristic, complemented
4#13127678C211yesmaximal, characteristic, complemented
5#13127657C211yesmaximal, characteristic, complemented
6#13127345C211yesmaximal, characteristic, complemented
7#13127270C211yesmaximal, characteristic, complemented
8#13127198C211yesmaximal, characteristic, complemented
9#13127022C211yesmaximal, characteristic, complemented
10#13126926C211yesmaximal, characteristic, complemented
11#13126887C211yesmaximal, characteristic, complemented
12#13126791C211yesmaximal, characteristic, complemented
13#13126723C211yesmaximal, characteristic, complemented
14#13126665C211yesmaximal, characteristic, complemented
15#13126544C211yesmaximal, characteristic, complemented
16#13126392C211yesmaximal, characteristic, complemented
17#13126347C211yesmaximal, characteristic, complemented
18#13125559C211yesmaximal, characteristic, complemented
19#13125546C211yesmaximal, characteristic, complemented
20#13125539C211yesmaximal, characteristic, complemented
21#13125007C211yesmaximal, characteristic, complemented
22#13124992C211yesmaximal, characteristic, complemented
23#13124970C211yesmaximal, characteristic, complemented
24#13124966C211yesmaximal, characteristic, complemented
25#13124945C211yesmaximal, characteristic, complemented
26#13124939C211yesmaximal, characteristic, complemented
27#13123850C211yesmaximal, characteristic, complemented
28C4×#88196C211yesmaximal, characteristic, complemented
29#13123634C211yesmaximal, characteristic, complemented
30C2×#11718687C211yesmaximal, characteristic, complemented
31C13×#3482C211yesmaximal, characteristic, complemented
32C13×#557C2211yescharacteristic, complemented
33C13×#556—21no—
34C13×#556C2211yescharacteristic, complemented
35C13×#552—21no—
36C13×#552—21no—
37C13×#552C2211yescharacteristic
38C13×#552C2211yescharacteristic, complemented
39D4×Q8×C13C2211yescharacteristic
40C13×#548C2211yescharacteristic
41C13×#548C2211yescharacteristic, complemented
42C13×#547—21no—
43C13×#547C2211yescharacteristic
44C13×#533—21no—
45C13×#533C2211yescharacteristic, complemented
46C13×#529—21no—
47C13×#529—21no—
48C13×#529C2211yescharacteristic
49C13×#529C2211yescharacteristic, complemented
50C4×C13×#41—21no—
51C4×C13×#41C2211yescharacteristic
52C4×C13×#41C2211yescharacteristic, complemented
53C2×C4×Q8×C13C2211yescharacteristic
54C2×C4×Q8×C13C2211yescharacteristic, complemented
55#11719533—21no—
56C2×#88204C2211yescharacteristic
57C2×#88196C2211yescharacteristic
58C22×#6106C2211yescharacteristic
59#11719289C2211yescharacteristic
60#11719286—21no—
61#11719284C2211yescharacteristic
62#11719268C2211yescharacteristic
63#11719263—21no—
64#11719261—21no—
65#11719261—21no—
66#11719256C2211yescharacteristic
67#11719255C2211yescharacteristic
68#11719255C2211yescharacteristic
69#11719246C2211yescharacteristic
70#11719246C2211yescharacteristic
71#11719233—21no—
72#11719233—21no—
73D13×#117—21no—
74#11719184C2211yescharacteristic
75#11719184C2211yescharacteristic
76C4×#6127C2211yescharacteristic
77C4×#6127C2211yescharacteristic
78C2×C4×D52C2211yescharacteristic
79#11719175C2211yescharacteristic
80#11718900C2211yescharacteristic, complemented
81#11718899C2211yescharacteristic
82#11718894C2211yescharacteristic, complemented
83#11718889C2211yescharacteristic
84#11718889C2211yescharacteristic
85#11718889C2211yescharacteristic, complemented
86#11718888C2211yescharacteristic
87#11718886C2211yescharacteristic, complemented
88C2×#88075C2211yescharacteristic
89#11718752C2211yescharacteristic, complemented
90#11718751C2211yescharacteristic, complemented
91#11718750C2211yescharacteristic
92#11718747C2211yescharacteristic
93#11718745C2211yescharacteristic
94#11718744C2211yescharacteristic
95#11718743C2211yescharacteristic, complemented
96#11718741C2211yescharacteristic, complemented
97#11718730C2211yescharacteristic, complemented
98#11718729C2211yescharacteristic
99#11718727C2211yescharacteristic
100#11718727C2211yescharacteristic
101#11718727C2211yescharacteristic
102#11718726C2211yescharacteristic, complemented
103#11718725C2211yescharacteristic, complemented
104#11718724C2211yescharacteristic, complemented
105#11718721C2211yescharacteristic, complemented
106#11718720C2211yescharacteristic
107#11718718C2211yescharacteristic
108#11718718C2211yescharacteristic
109#11718718C2211yescharacteristic
110#11718717C2211yescharacteristic, complemented
111#11718716C2211yescharacteristic, complemented
112#11718715C2211yescharacteristic, complemented
113#11718713C2211yescharacteristic, complemented
114#11718712C2211yescharacteristic
115#11718712C2211yescharacteristic
116#11718712C2211yescharacteristic, complemented
117#11718712C2211yescharacteristic, complemented
118#11718710C2211yescharacteristic
119#11718709C2211yescharacteristic
120#11718709C2211yescharacteristic
121#11718708C2211yescharacteristic
122#11718708C2211yescharacteristic
123#11718708C2211yescharacteristic
124#11718707C2211yescharacteristic
125#11718706C2211yescharacteristic, complemented
126#11718706C2211yescharacteristic, complemented
127#11718706C2211yescharacteristic, complemented
128#11718704C2211yescharacteristic
129#11718703C2211yescharacteristic, complemented
130#11718702C2211yescharacteristic
131#11718702C2211yescharacteristic
132#11718700C2211yescharacteristic
133#11718698C2211yescharacteristic
134#11718697C2211yescharacteristic
135#11718696C2211yescharacteristic, complemented
136#11718694C2211yescharacteristic
137#11718692C2211yescharacteristic, complemented
138#11718692C2211yescharacteristic, complemented
139#11718691C2211yescharacteristic, complemented
140#11718691C2211yescharacteristic, complemented
141#11718691C2211yescharacteristic, complemented
142#11718691C2211yescharacteristic, complemented
143#11718691C2211yescharacteristic, complemented
144#11718691C2211yescharacteristic, complemented
145#11718691C2211yescharacteristic, complemented
146C4×#6107C2211yescharacteristic, complemented
147C4×#6107C2211yescharacteristic, complemented
148#11718689C2211yescharacteristic
149#11718689C2211yescharacteristic
150#11718689C2211yescharacteristic
151#11718687C2211yescharacteristic
152#11718687C2211yescharacteristic
153#11718687C2211yescharacteristic
154#11718687C2211yescharacteristic
155#11718687C2211yescharacteristic
156#11718687C2211yescharacteristic
157#11718687C2211yescharacteristic
158#11718687C2211yescharacteristic
159#11718687C2211yescharacteristic
160#11718687C2211yescharacteristic
161#11718687C2211yescharacteristic
162C4×#6106C2211yescharacteristic
163C4×#6106C2211yescharacteristic
164#11718685C2211yescharacteristic, complemented
165#11718685C2211yescharacteristic, complemented
166#11718683C2211yescharacteristic, complemented
167#11718683C2211yescharacteristic, complemented
168#11718683C2211yescharacteristic, complemented
169#11718681C2211yescharacteristic, complemented
170#11718681C2211yescharacteristic, complemented
171#11718679C2211yescharacteristic, complemented
172#11718679C2211yescharacteristic, complemented
173#11718679C2211yescharacteristic, complemented
174#11718677C2211yescharacteristic
175#11718675C2211yescharacteristic
176#11718675C2211yescharacteristic
177#11718675C2211yescharacteristic
178#11718672C2211yescharacteristic
179#11718672C2211yescharacteristic
180#11718672C2211yescharacteristic, complemented
181#11718672C2211yescharacteristic, complemented
182D4×#1055C2211yescharacteristic
183D4×#1055C2211yescharacteristic
184#11718670C2211yescharacteristic, complemented
185#11718664C2211yescharacteristic
186#11718663C2211yescharacteristic
187#11718659C2211yescharacteristic, complemented
188#11718657C2211yescharacteristic, complemented
189#11718632C2211yescharacteristic
190#11718632C2211yescharacteristic
191#11718631C2211yescharacteristic, complemented
192#11718629C2211yescharacteristic
193#11718627C2211yescharacteristic
194C2×#88049C2211yescharacteristic
195#11718625C2211yescharacteristic, complemented
196C2×#88047C2211yescharacteristic
197#11718587C2211yescharacteristic
198#11718587C2211yescharacteristic, complemented
199#11718587C2211yescharacteristic, complemented
200C4×#6099C2211yescharacteristic, complemented
201C2×#88043C2211yescharacteristic
202C2×#88043C2211yescharacteristic, complemented
203C2×C13×#41—21no—
204C2×C13×#41D411yescharacteristic
205C2×C13×#41C2311yescharacteristic
206C22×Q8×C13C2311yescharacteristic
207C22×Q8×C13C2311yescharacteristic
208C2×#6127C2311yescharacteristic
209C2×#6127C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×C4×D13—21no—
212C13×C4⋊Q8—21no—
213C13×C4⋊Q8—21no—
214C13×C4⋊Q8C2311yescharacteristic
215C13×C4⋊Q8C2311yescharacteristic
216C13×#126—21no—
217C13×#126—21no—
218C13×#126—21no—
219C13×#126—21no—
220C13×#126—21no—
221C13×#126—21no—
222C13×#125—21no—
223C13×#125—21no—
224C13×#125—21no—
225C13×#125—21no—
226C13×#125—21no—
227C13×#125C2311yescharacteristic
228C13×#125C2311yescharacteristic
229C13×#124—21no—
230C13×#124—21no—
231C13×#124C2311yescharacteristic
232C13×#124C2311yescharacteristic
233C13×#123—21no—
234C13×#123—21no—
235C13×#123—21no—
236C13×#123—21no—
237C13×#123—21no—
238C13×#123—21no—
239C13×C22⋊Q8—21no—
240C13×C22⋊Q8—21no—
241C13×C22⋊Q8—21no—
242C13×C22⋊Q8—21no—
243C13×C22⋊Q8—21no—
244C13×C22⋊Q8—21no—
245C13×C22⋊Q8—21no—
246C13×C22⋊Q8C2311yescharacteristic
247C13×C22⋊Q8C2311yescharacteristic
248C13×C22⋊Q8C2311yescharacteristic
249C13×C22⋊Q8C2311yescharacteristic
250C13×#121—21no—
251C13×#121—21no—
252C13×#121C2311yescharacteristic
253C13×#121C2311yescharacteristic
254C4×Q8×C13—21no—
255C4×Q8×C13—21no—
256C4×Q8×C13—21no—
257C4×Q8×C13—21no—
258C4×Q8×C13—21no—
259C4×Q8×C13—21no—
260C4×Q8×C13D411yescharacteristic
261C4×Q8×C13C2311yescharacteristic
262C4×Q8×C13C2311yescharacteristic
263C4×Q8×C13C2311yescharacteristic
264C4×Q8×C13C2311yescharacteristic
265C4×Q8×C13C2311yescharacteristic
266C4×Q8×C13C2311yescharacteristic
267C4×Q8×C13C2311yescharacteristic
268C4×Q8×C13C2311yescharacteristic
269C4×Q8×C13C2311yescharacteristic
270C4×D4×C13—21no—
271C4×D4×C13—21no—
272C4×D4×C13—21no—
273C4×D4×C13—21no—
274C4×D4×C13—21no—
275C4×D4×C13—21no—
276C4×D4×C13—21no—
277C4×D4×C13D411yescharacteristic
278C4×D4×C13D411yescharacteristic
279C4×D4×C13D411yescharacteristic
280C4×D4×C13C2311yescharacteristic
281C4×D4×C13C2311yescharacteristic
282C4×D4×C13C2311yescharacteristic
283C4×D4×C13C2311yescharacteristic
284C4×D4×C13C2311yescharacteristic
285C13×#117—21no—
286C13×#117—21no—
287C13×#117—21no—
288C13×#117—21no—
289C13×#117—21no—
290C13×#117—21no—
291C13×#117—21no—
292C13×#117D411yescharacteristic
293C13×#117D411yescharacteristic
294C13×#117D411yescharacteristic
295C13×#117C2311yescharacteristic
296C2×C13×C4⋊C4—21no—
297C2×C13×C4⋊C4—21no—
298C2×C13×C4⋊C4C2311yescharacteristic
299C2×C13×C4⋊C4C2311yescharacteristic
300C2×C42×C13—21no—
301C2×C42×C13—21no—
302C2×C42×C13—21no—
303C2×C42×C13C2311yescharacteristic
304C2×C42×C13C2311yescharacteristic
305C2×C42×C13C2311yescharacteristic
306#88204—24no—
307#88200—21no—
308#88200—21no—
309C2×#6107C2311yescharacteristic
310C2×#6107C2311yescharacteristic
311C2×#6107C2311yescharacteristic
312C2×#6107C2311yescharacteristic
313C2×#6107C2311yescharacteristic
314C2×#6107C2311yescharacteristic
315#88196—24no—
316C2×#6106—24no—
317C2×#6106C2311yescharacteristic
318C2×#6106C2311yescharacteristic
319C2×#6106C2311yescharacteristic
320C2×#6106C2311yescharacteristic
321C2×#6106C2311yescharacteristic
322C2×#6106C2311yescharacteristic
323#88192—21no—
324#88192—21no—
325#88191—21no—
326#88191—21no—
327#88189—21no—
328#88189—21no—
329C2×#6105C2311yescharacteristic
330C2×#6105C2311yescharacteristic
331C2×#6104C2311yescharacteristic
332C2×#6104C2311yescharacteristic
333#88184C2311yescharacteristic
334#88184C2311yescharacteristic
335#88183—21no—
336#88183—21no—
337C4×C22⋊D13—21no—
338C4×C22⋊D13—21no—
339C4×C22⋊D13—21no—
340C4×C22⋊D13—21no—
341C4×C22⋊D13—21no—
342C4×C22⋊D13—21no—
343C2×#6103—21no—
344#88180—21no—
345#88180C2311yescharacteristic
346#88180C2311yescharacteristic
347C2×C4⋊Dic13C2311yescharacteristic
348#88178—21no—
349#88178C2311yescharacteristic
350#88178C2311yescharacteristic
351#88178C2311yescharacteristic
352#88178C2311yescharacteristic
353C2×#6099C2311yescharacteristic
354C2×#6099C2311yescharacteristic
355C22×#1055C2311yescharacteristic
356C22×#1055C2311yescharacteristic
357C22×#1055C2311yescharacteristic
358C22×#1055C2311yescharacteristic
359#88152—21no—
360#88152—21no—
361#88150—21no—
362#88150—21no—
363#88148—21no—
364#88148—21no—
365#88146—21no—
366#88146—21no—
367C4⋊C4×D13—21no—
368C4⋊C4×D13—21no—
369#88143—21no—
370#88143—21no—
371#88139—21no—
372#88139—21no—
373#88138—21no—
374#88138—21no—
375#88137—21no—
376#88137—21no—
377C22⋊C4×D13—21no—
378C22⋊C4×D13—21no—
379#88133—21no—
380#88133—21no—
381#88131—21no—
382#88131—21no—
383#88130—21no—
384#88130—21no—
385#88129C2311yescharacteristic
386#88129C2311yescharacteristic
387C4×D52—21no—
388C4×D52—21no—
389C4×D52C2311yescharacteristic
390C4×D52C2311yescharacteristic
391C4×D52C2311yescharacteristic
392C4×D52C2311yescharacteristic
393C4×D52C2311yescharacteristic
394C4×D52C2311yescharacteristic
395#88126—21no—
396#88126—21no—
397#88126—21no—
398#88126—21no—
399C42×D13—21no—
400C42×D13—21no—
401#88124—21no—
402#88124C2311yescharacteristic
403#88124C2311yescharacteristic
404#88123C2311yescharacteristic
405#88123C2311yescharacteristic
406C4×Dic26—21no—
407C4×Dic26C2311yescharacteristic
408C4×Dic26C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411#88075C2311yescharacteristic
412#88075C2311yescharacteristic
413#88075C2311yescharacteristic
414#88075C2311yescharacteristic
415#88075C2311yescharacteristic
416#88075C2311yescharacteristic
417#88075C2311yescharacteristic
418#88075C2311yescharacteristic
419#88075C2311yescharacteristic
420#88075C2311yescharacteristic
421#88075C2311yescharacteristic
422#88075C2311yescharacteristic
423#88072C2311yescharacteristic
424#88072C2311yescharacteristic
425#88072C2311yescharacteristic
426#88072C2311yescharacteristic
427C22⋊#1055C2311yescharacteristic
428C22⋊#1055C2311yescharacteristic
429C22⋊#1055C2311yescharacteristic
430C22⋊#1055C2311yescharacteristic
431C22⋊#1055C2311yescharacteristic
432C22⋊#1055C2311yescharacteristic
433#88050C2311yescharacteristic
434#88050C2311yescharacteristic
435#88050C2311yescharacteristic
436#88050C2311yescharacteristic
437#88050C2311yescharacteristic
438#88050C2311yescharacteristic
439#88050C2311yescharacteristic
440#88050C2311yescharacteristic
441#88049C2311yescharacteristic
442#88049C2311yescharacteristic
443#88049C2311yescharacteristic
444#88049C2311yescharacteristic
445#88049C2311yescharacteristic
446#88049C2311yescharacteristic
447#88049C2311yescharacteristic
448#88049C2311yescharacteristic
449#88048C2311yescharacteristic
450#88048C2311yescharacteristic
451#88048C2311yescharacteristic
452#88048C2311yescharacteristic
453#88048C2311yescharacteristic
454#88048C2311yescharacteristic
455#88048C2311yescharacteristic
456#88048C2311yescharacteristic
457#88047C2311yescharacteristic
458#88047C2311yescharacteristic
459#88047C2311yescharacteristic
460#88047C2311yescharacteristic
461#88047C2311yescharacteristic
462#88047C2311yescharacteristic
463#88047C2311yescharacteristic
464#88047C2311yescharacteristic
465C4⋊#1055C2311yescharacteristic
466C4⋊#1055C2311yescharacteristic
467C4⋊#1055C2311yescharacteristic
468C4⋊#1055C2311yescharacteristic
469C4⋊#1055C2311yescharacteristic
470C4⋊#1055C2311yescharacteristic
471#88043C2311yescharacteristic
472#88043C2311yescharacteristic
473#88043C2311yescharacteristic
474#88043C2311yescharacteristic
475#88043C2311yescharacteristic
476#88043C2311yescharacteristic
477#88043C2311yescharacteristic
478#88043C2311yescharacteristic
479C4×#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481#61455—131nomaximal, Sylow
482C23×D13—21no—
483C13×#41—22no—
484C13×#41—42no—
485C13×#41—41no—
486C13×#41—44no—
487C2×Q8×C13—21no—
488C2×Q8×C13—21no—
489C2×Q8×C13—21no—
490C2×Q8×C13—22no—
491C2×Q8×C13—22no—
492C2×Q8×C13—41no—
493C2×Q8×C13—41no—
494C2×Q8×C13C2×D411yescharacteristic
495C2×Q8×C13C2411yescharacteristic
496C2×Q8×C13C2411yescharacteristic
497C2×Q8×C13C2411yescharacteristic
498C2×D4×C13—21no—
499C2×D4×C13—21no—
500C2×D4×C13—21no—
501C2×D4×C13C2×D411yescharacteristic
502C2×D4×C13C2×D411yescharacteristic
503C2×D4×C13C2×D411yescharacteristic
504C2×D4×C13C2411yescharacteristic
505C22×C4×C13—21no—
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×C13C2×D411yescharacteristic
513C22×C4×C13C2×D411yescharacteristic
514C22×C4×C13C2×D411yescharacteristic
515C22×C4×C13C2×D411yescharacteristic
516C22×C4×C13C2×D411yescharacteristic
517C22×C4×C13C2×D411yescharacteristic
518C22×C4×C13C2411yescharacteristic
519C22×C4×C13C2411yescharacteristic
520C22×C4×C13C2411yescharacteristic
521C2×C22⋊D13—21no—
522C2×C22⋊D13—21no—
523C2×C22⋊D13—21no—
524C2×C22⋊D13—21no—
525C22×Dic13—21no—
526#6127—22no—
527#6127—22no—
528#6127—41no—
529#6127—41no—
530C2×D52—22no—
531C2×D52—21no—
532C2×D52—41no—
533C2×D52C2411yescharacteristic
534C2×D52C2411yescharacteristic
535C2×C4×D13—21no—
536C2×C4×D13—21no—
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—44no—
544C2×Dic26—21no—
545C2×Dic26C2411yescharacteristic
546C2×Dic26C2411yescharacteristic
547C13×C4⋊C4—21no—
548C13×C4⋊C4—21no—
549C13×C4⋊C4—21no—
550C13×C4⋊C4—21no—
551C13×C4⋊C4—21no—
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⋊C4C2411yescharacteristic
575C13×C4⋊C4C2411yescharacteristic
576C13×C4⋊C4C2411yescharacteristic
577C13×C4⋊C4C2411yescharacteristic
578C13×C22⋊C4—21no—
579C13×C22⋊C4—21no—
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
592C13×C22⋊C4C2×D411yescharacteristic
593C13×C22⋊C4C2×D411yescharacteristic
594C13×C22⋊C4C2×D411yescharacteristic
595C13×C22⋊C4C2×D411yescharacteristic
596C13×C22⋊C4C2×D411yescharacteristic
597C42×C13—21no—
598C42×C13—21no—
599C42×C13—21no—
600C42×C13—21no—
601C42×C13—21no—
602C42×C13—21no—
603C42×C13—21no—
604C42×C13—21no—
605C42×C13—21no—
606C42×C13C2×D411yescharacteristic
607C42×C13C2×D411yescharacteristic
608C42×C13C2×D411yescharacteristic
609C42×C13C2×D411yescharacteristic
610C42×C13C2×D411yescharacteristic
611C42×C13C2×D411yescharacteristic
612C42×C13C2411yescharacteristic
613C42×C13C2411yescharacteristic
614C42×C13C2411yescharacteristic
615C42×C13C2411yescharacteristic
616C22⋊Dic13—21no—
617C22⋊Dic13—21no—
618C22⋊Dic13—21no—
619C22⋊Dic13—21no—
620C22⋊Dic13—21no—
621C22⋊Dic13—21no—
622#6107—22no—
623#6107—22no—
624#6107—22no—
625#6107—41no—
626#6107—41no—
627#6107—41no—
628#6106—22no—
629#6106—22no—
630#6106—22no—
631#6106—22no—
632#6106—41no—
633#6106#4114yescomplemented
634#6105—22no—
635#6105—41no—
636#6104—22no—
637#6104—41no—
638#6103—21no—
639#6103—21no—
640#6103—21no—
641#6103—21no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650C4⋊Dic13—21no—
651C4⋊Dic13—21no—
652C4⋊Dic13—21no—
653C4⋊Dic13—21no—
654C4⋊Dic13C2411yescharacteristic
655C4⋊Dic13C2411yescharacteristic
656C4⋊Dic13C2411yescharacteristic
657C4⋊Dic13C2411yescharacteristic
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101—21no—
663#6101—21no—
664#6101—21no—
665#6101—21no—
666#6101—21no—
667#6101—21no—
668#6101—21no—
669#6101—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676#6099—22no—
677#6099—41no—
678C2×#1055—22no—
679C2×#1055—22no—
680C2×#1055—41no—
681C2×#1055—41no—
682C2×#1055C2411yescharacteristic
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688C2×#1055C2411yescharacteristic
689C2×#1055C2411yescharacteristic
690#3482D1311yescharacteristic, complemented
691#3475—131no—
692#3402—131no—
693#3388—131no—
694#3377—131no—
695#3376—131no—
696#3348—131no—
697#3343—131no—
698#3336—131no—
699#3321—131no—
700#3315—131no—
701#3312—131no—
702#3306—131no—
703#3300—131no—
704#3296—131no—
705#3282—131no—
706#3269—131no—
707#3266—131no—
708#3183—131no—
709#3181—131no—
710#3181—131no—
711#3117—131no—
712#3116—131no—
713#3114—131no—
714#3113—131no—
715#3111—131no—
716#3111—131no—
717#2970—131no—
718C4×#137—131no—
719#2943—131no—
720C2×#440—131no—
721C23×C13—21no—
722C23×C13C22×D411yescharacteristic
723C23×C13C22×D411yescharacteristic
724C23×C13C22×D411yescharacteristic
725C22×D13—21no—
726C22×D13—21no—
727C22×D13—42no—
728C22×D13—42no—
729C22×D13—81no—
730Q8×C13—21no—
731Q8×C13—21no—
732Q8×C13—21no—
733Q8×C13—21no—
734Q8×C13—21no—
735Q8×C13—41no—
736Q8×C13—42no—
737Q8×C13—42no—
738Q8×C13—42no—
739Q8×C13C2×#4112yes—
740D4×C13—22no—
741D4×C13—22no—
742D4×C13—21no—
743D4×C13—21no—
744D4×C13—41no—
745D4×C13—42no—
746D4×C13—42no—
747D4×C13—42no—
748C2×C4×C13—22no—
749C2×C4×C13—21no—
750C2×C4×C13—21no—
751C2×C4×C13—21no—
752C2×C4×C13—21no—
753C2×C4×C13—21no—
754C2×C4×C13—21no—
755C2×C4×C13—21no—
756C2×C4×C13—21no—
757C2×C4×C13—21no—
758C2×C4×C13—21no—
759C2×C4×C13—21no—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—41no—
763C2×C4×C13—41no—
764C2×C4×C13—41no—
765C2×C4×C13—41no—
766C2×C4×C13—41no—
767C2×C4×C13—42no—
768C2×C4×C13—42no—
769C2×C4×C13—42no—
770C2×C4×C13—42no—
771C2×C4×C13—42no—
772C2×C4×C13—42no—
773C2×C4×C13—42no—
774C2×C4×C13C22×D411yescharacteristic
775C2×C4×C13C22×D411yescharacteristic
776C2×C4×C13C22×D411yescharacteristic
777C2×C4×C13C22×D411yescharacteristic
778C2×C4×C13C22×D411yescharacteristic
779C2×C4×C13C22×D411yescharacteristic
780C2×C4×C13C22×D411yescharacteristic
781C2×C4×C13C22×D411yescharacteristic
782C2×C4×C13C22×D411yescharacteristic
783C2×C4×C13C22×D411yescharacteristic
784C2×C4×C13C22×D411yescharacteristic
785C2×C4×C13C2511yescharacteristic
786C22⋊D13—42no—
787C22⋊D13—42no—
788C22⋊D13—81no—
789C22⋊D13—81no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—42no—
797D52—21no—
798D52—21no—
799D52—21no—
800D52—42no—
801D52C2×#4112yes—
802C4×D13—42no—
803C4×D13—42no—
804C4×D13—42no—
805C4×D13—42no—
806C4×D13—42no—
807C4×D13—42no—
808C4×D13—81no—
809C4×D13—81no—
810Dic26—21no—
811Dic26—21no—
812Dic26—21no—
813Dic26—21no—
814Dic26—81no—
815#1055—21no—
816#1055—21no—
817#1055—21no—
818#1055—21no—
819#1055—21no—
820#1055—21no—
821#1055—21no—
822#1055C2×#4112yes—
823C2×#137—131no—
824C2×#135—131no—
825C22×SD16—131no—
826#557C2×D1311yescharacteristic, complemented
827#556—21no—
828#556—131no—
829#556C2×D1311yescharacteristic, complemented
830#555—131no—
831#554—131no—
832#553—261no—
833#552—21no—
834#552—21no—
835#552—131no—
836#552—131no—
837#552—261no—
838#552C2×D1311yescharacteristic
839#552C2×D1311yescharacteristic, complemented
840#551—261no—
841#551—261no—
842D4×Q8C2×D1311yescharacteristic
843#548C2×D1311yescharacteristic
844#548C2×D1311yescharacteristic, complemented
845#547—21no—
846#547—131no—
847#547C2×D1311yescharacteristic
848#546—131no—
849#546—131no—
850#533—21no—
851#533—131no—
852#533C2×D1311yescharacteristic, complemented
853#529—21no—
854#529—21no—
855#529—131no—
856#529—131no—
857#529—261no—
858#529—261no—
859#529C2×D1311yescharacteristic
860#529C2×D1311yescharacteristic, complemented
861#525—261no—
862C4×#41—21no—
863C4×#41—131no—
864C4×#41—131no—
865C4×#41C2×D1311yescharacteristic
866C4×#41C2×D1311yescharacteristic, complemented
867C2×C4×Q8C2×D1311yescharacteristic
868C2×C4×Q8C2×D1311yescharacteristic, complemented
869C2×C4×D4—131no—
870C2×#117—261no—
871#501—131no—
872#501—131no—
873#499—131no—
874#497—131no—
875#497—131no—
876#495—131no—
877#491—131no—
878#491—131no—
879#489—131no—
880#489—131no—
881#488—131no—
882#488—131no—
883#485—131no—
884#485—131no—
885#485—131no—
886#485—131no—
887#484—131no—
888#483—131no—
889#483—131no—
890#483—131no—
891#482—131no—
892#482—131no—
893#481—131no—
894#480—131no—
895#479—131no—
896#479—131no—
897#479—131no—
898#479—131no—
899#478—131no—
900#478—131no—
901#478—131no—
902#478—131no—
903#477—131no—
904#476—131no—
905#475—131no—
906#475—131no—
907#470—131no—
908#469—131no—
909#468—131no—
910#468—131no—
911#467—131no—
912#467—131no—
913#467—131no—
914#467—131no—
915#465—131no—
916#465—131no—
917#465—131no—
918#465—131no—
919#464—131no—
920#464—131no—
921#464—131no—
922#464—131no—
923#463—131no—
924#463—131no—
925#463—131no—
926#463—131no—
927#462—131no—
928#462—131no—
929#462—131no—
930#461—131no—
931#452—131no—
932#452—131no—
933#452—131no—
934#452—131no—
935#451—131no—
936#451—131no—
937#451—131no—
938#450—131no—
939#449—131no—
940#449—131no—
941#448—131no—
942#447—131no—
943#446—131no—
944#446—131no—
945#442—131no—
946#442—131no—
947#442—131no—
948#441—131no—
949#441—131no—
950#441—131no—
951#441—131no—
952#441—131no—
953#441—131no—
954#441—131no—
955#440—131no—
956#440—131no—
957#440—131no—
958#440—131no—
959#440—131no—
960#440—131no—
961#440—131no—
962#440—131no—
963#440—131no—
964#440—131no—
965#440—131no—
966#440—131no—
967#440—131no—
968#440—131no—
969C4×Q16—131no—
970C4×Q16—131no—
971C4×SD16—131no—
972C4×SD16—131no—
973#435—131no—
974#435—131no—
975#435—131no—
976#435—131no—
977C8×D4—131no—
978C8×D4—131no—
979#432—131no—
980#432—131no—
981#432—131no—
982#428—131no—
983#427—131no—
984C2×#107—131no—
985#419—131no—
986#417—131no—
987#416—131no—
988#416—131no—
989C2×#103—131no—
990C2×#102—131no—
991C4×M16—131no—
992C2×#97—131no—
993C2×#97—131no—
994C22×C13—21no—
995C22×C13—21no—
996C22×C13—21no—
997C22×C13—21no—
998C22×C13—21no—
999C22×C13—21no—
1000C22×C13—21no—
1001C22×C13—21no—
1002C22×C13—41no—
1003C22×C13—41no—
1004C22×C13—41no—
1005C22×C13#57512yes—
1006C22×C13C23×D411yescharacteristic
1007C2×D13—22no—
1008C2×D13—41no—
1009C2×D13—41no—
1010C2×D13—41no—
1011C2×D13—41no—
1012C2×D13—41no—
1013C2×D13—84no—
1014C4×C13—21no—
1015C4×C13—21no—
1016C4×C13—21no—
1017C4×C13—21no—
1018C4×C13—21no—
1019C4×C13—21no—
1020C4×C13—21no—
1021C4×C13—22no—
1022C4×C13—21no—
1023C4×C13—21no—
1024C4×C13—21no—
1025C4×C13—21no—
1026C4×C13—41no—
1027C4×C13—41no—
1028C4×C13—41no—
1029C4×C13—41no—
1030C4×C13—41no—
1031C4×C13—41no—
1032C4×C13C22×#4111yescharacteristic
1033C4×C13#58511yescharacteristic
1034Dic13—41no—
1035Dic13—41no—
1036Dic13—41no—
1037Dic13—41no—
1038Dic13—41no—
1039Dic13—41no—
1040C2×#41—21no—
1041C2×#41—131no—
1042C2×#41—131no—
1043C2×#41C22⋊D1311yescharacteristic
1044C2×#41C22×D1311yescharacteristic
1045C22×Q8C22×D1311yescharacteristic
1046C22×Q8C22×D1311yescharacteristic
1047C22×D4—131no—
1048C23×C4—261no—
1049#137—264no—
1050#135—264no—
1051C2×Q16—131no—
1052C2×Q16—131no—
1053C2×Q16—131no—
1054C2×Q16—131no—
1055C2×Q16—131no—
1056C2×Q16—131no—
1057C2×SD16—131no—
1058C2×SD16—131no—
1059C2×SD16—131no—
1060C2×SD16—131no—
1061C2×SD16—131no—
1062C2×SD16—131no—
1063C2×SD16—131no—
1064C2×SD16—131no—
1065C2×SD16—264no—
1066C2×D8—131no—
1067C2×D8—131no—
1068C2×M16—131no—
1069C2×M16—131no—
1070C22×C8—131no—
1071C22×C8—131no—
1072C22×C8—131no—
1073C22×C8—131no—
1074C4⋊Q8—21no—
1075C4⋊Q8—21no—
1076C4⋊Q8—131no—
1077C4⋊Q8—131no—
1078C4⋊Q8C22×D1311yescharacteristic
1079C4⋊Q8C22×D1311yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—261no—
1087#126—261no—
1088#126—261no—
1089#126—261no—
1090#126—261no—
1091#126—261no—
1092#125—21no—
1093#125—21no—
1094#125—21no—
1095#125—21no—
1096#125—21no—
1097#125—131no—
1098#125—131no—
1099#125—261no—
1100#125—261no—
1101#125—261no—
1102#125C22×D1311yescharacteristic
1103#125C22×D1311yescharacteristic
1104#124—21no—
1105#124—21no—
1106#124—131no—
1107#124—131no—
1108#124—261no—
1109#124—261no—
1110#124C22×D1311yescharacteristic
1111#124C22×D1311yescharacteristic
1112#123—21no—
1113#123—21no—
1114#123—21no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—261no—
1119#123—261no—
1120#123—261no—
1121#123—261no—
1122#123—261no—
1123#123—261no—
1124#123—261no—
1125#123—261no—
1126C22⋊Q8—21no—
1127C22⋊Q8—21no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—131no—
1134C22⋊Q8—131no—
1135C22⋊Q8—131no—
1136C22⋊Q8—131no—
1137C22⋊Q8—261no—
1138C22⋊Q8—261no—
1139C22⋊Q8—261no—
1140C22⋊Q8—261no—
1141C22⋊Q8—261no—
1142C22⋊Q8C22×D1311yescharacteristic
1143C22⋊Q8C22×D1311yescharacteristic
1144C22⋊Q8C22×D1311yescharacteristic
1145C22⋊Q8C22×D1311yescharacteristic
1146#121—21no—
1147#121—21no—
1148#121—131no—
1149#121—131no—
1150#121—261no—
1151#121—261no—
1152#121—261no—
1153#121—261no—
1154#121C22×D1311yescharacteristic
1155#121C22×D1311yescharacteristic
1156#120—261no—
1157#120—261no—
1158C4×Q8—21no—
1159C4×Q8—21no—
1160C4×Q8—21no—
1161C4×Q8—21no—
1162C4×Q8—21no—
1163C4×Q8—21no—
1164C4×Q8—131no—
1165C4×Q8—131no—
1166C4×Q8—131no—
1167C4×Q8—131no—
1168C4×Q8—261no—
1169C4×Q8C22⋊D1311yescharacteristic
1170C4×Q8C22×D1311yescharacteristic
1171C4×Q8C22×D1311yescharacteristic
1172C4×Q8C22×D1311yescharacteristic
1173C4×Q8C22×D1311yescharacteristic
1174C4×Q8C22×D1311yescharacteristic
1175C4×Q8C22×D1311yescharacteristic
1176C4×Q8C22×D1311yescharacteristic
1177C4×Q8C22×D1311yescharacteristic
1178C4×Q8C22×D1311yescharacteristic
1179C4×D4—21no—
1180C4×D4—21no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—131no—
1187C4×D4—131no—
1188C4×D4—131no—
1189C4×D4—131no—
1190C4×D4—131no—
1191C4×D4—131no—
1192C4×D4—261no—
1193C4×D4—261no—
1194C4×D4—261no—
1195C4×D4—261no—
1196C4×D4—261no—
1197C4×D4—261no—
1198C4×D4—261no—
1199C4×D4—261no—
1200C4×D4C22⋊D1311yescharacteristic
1201C4×D4C22⋊D1311yescharacteristic
1202C4×D4C22⋊D1311yescharacteristic
1203C4×D4C22×D1311yescharacteristic
1204C4×D4C22×D1311yescharacteristic
1205C4×D4C22×D1311yescharacteristic
1206C4×D4C22×D1311yescharacteristic
1207C4×D4C22×D1311yescharacteristic
1208#117—21no—
1209#117—21no—
1210#117—21no—
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—131no—
1216#117—131no—
1217#117—261no—
1218#117—261no—
1219#117—261no—
1220#117—261no—
1221#117—261no—
1222#117—261no—
1223#117—261no—
1224#117—261no—
1225#117—261no—
1226#117C22⋊D1311yescharacteristic
1227#117C22⋊D1311yescharacteristic
1228#117C22⋊D1311yescharacteristic
1229#117C22×D1311yescharacteristic
1230C2×C4⋊C4—21no—
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—131no—
1233C2×C4⋊C4—261no—
1234C2×C4⋊C4—261no—
1235C2×C4⋊C4C22×D1311yescharacteristic
1236C2×C4⋊C4C22×D1311yescharacteristic
1237C2×C22⋊C4—261no—
1238C2×C22⋊C4—261no—
1239C2×C22⋊C4—261no—
1240C2×C42—21no—
1241C2×C42—21no—
1242C2×C42—21no—
1243C2×C42—261no—
1244C2×C42—261no—
1245C2×C42C22×D1311yescharacteristic
1246C2×C42C22×D1311yescharacteristic
1247C2×C42C22×D1311yescharacteristic
1248#107—131no—
1249#107—131no—
1250#107—131no—
1251#107—131no—
1252#107—131no—
1253#107—131no—
1254#107—131no—
1255#107—131no—
1256#106—131no—
1257#106—131no—
1258#106—131no—
1259#106—131no—
1260#106—131no—
1261#106—131no—
1262#106—131no—
1263#106—131no—
1264C4⋊C8—131no—
1265C4⋊C8—131no—
1266C4⋊C8—131no—
1267C4⋊C8—131no—
1268C4⋊C8—131no—
1269C4⋊C8—131no—
1270#103—131no—
1271#103—131no—
1272#103—131no—
1273#103—131no—
1274#103—131no—
1275#103—131no—
1276#103—131no—
1277#103—131no—
1278#103—131no—
1279#103—131no—
1280#103—131no—
1281#103—131no—
1282#103—131no—
1283#103—131no—
1284#103—131no—
1285#103—131no—
1286#103—131no—
1287#103—131no—
1288#103—131no—
1289#103—131no—
1290#102—131no—
1291#102—131no—
1292#102—131no—
1293#102—131no—
1294#102—131no—
1295#102—131no—
1296#102—131no—
1297#102—131no—
1298#102—131no—
1299#102—131no—
1300#102—131no—
1301#102—131no—
1302C22⋊C8—131no—
1303C22⋊C8—131no—
1304C22⋊C8—131no—
1305C22⋊C8—131no—
1306C22⋊C8—131no—
1307C22⋊C8—131no—
1308#97—131no—
1309#97—131no—
1310#97—131no—
1311#97—131no—
1312#97—131no—
1313#97—131no—
1314#97—131no—
1315#97—131no—
1316C4×C8—131no—
1317C4×C8—131no—
1318C2×C13—22no—
1319C2×C13—41no—
1320C2×C13—41no—
1321C2×C13—81no—
1322C2×C13D4×#4111yescharacteristic
1323C2×C13C2×#57511yescharacteristic
1324C2×C13#358611yescharacteristic
1325D13—42no—
1326D13—81no—
1327C24—261no—
1328#41—22no—
1329#41—42no—
1330#41—41no—
1331#41—44no—
1332#41—262no—
1333#41—262no—
1334#41—521no—
1335#41—521no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—41no—
1342C2×Q8—41no—
1343C2×Q8—131no—
1344C2×Q8—131no—
1345C2×Q8—261no—
1346C2×Q8C2×C22⋊D1311yescharacteristic
1347C2×Q8C23×D1311yescharacteristic
1348C2×Q8C23×D1311yescharacteristic
1349C2×Q8C23×D1311yescharacteristic
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—131no—
1354C2×D4—131no—
1355C2×D4—262no—
1356C2×D4—261no—
1357C2×D4—261no—
1358C2×D4—261no—
1359C2×D4—261no—
1360C2×D4—261no—
1361C2×D4—521no—
1362C2×D4C2×C22⋊D1311yescharacteristic
1363C2×D4C2×C22⋊D1311yescharacteristic
1364C2×D4C2×C22⋊D1311yescharacteristic
1365C2×D4C23×D1311yescharacteristic
1366C22×C4—21no—
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—261no—
1374C22×C4—261no—
1375C22×C4—261no—
1376C22×C4—261no—
1377C22×C4—261no—
1378C22×C4—261no—
1379C22×C4—261no—
1380C22×C4—261no—
1381C22×C4—261no—
1382C22×C4—524no—
1383C22×C4C2×C22⋊D1311yescharacteristic
1384C22×C4C2×C22⋊D1311yescharacteristic
1385C22×C4C2×C22⋊D1311yescharacteristic
1386C22×C4C2×C22⋊D1311yescharacteristic
1387C22×C4C2×C22⋊D1311yescharacteristic
1388C22×C4C2×C22⋊D1311yescharacteristic
1389C22×C4C23×D1311yescharacteristic
1390C22×C4C23×D1311yescharacteristic
1391C22×C4C23×D1311yescharacteristic
1392Q16—262no—
1393Q16—262no—
1394Q16—262no—
1395Q16—521no—
1396Q16—521no—
1397Q16—521no—
1398SD16—134no—
1399SD16—262no—
1400SD16—262no—
1401SD16—262no—
1402SD16—262no—
1403SD16—262no—
1404SD16—521no—
1405SD16—521no—
1406D8—262no—
1407D8—521no—
1408M16—262no—
1409M16—521no—
1410C2×C8—131no—
1411C2×C8—131no—
1412C2×C8—131no—
1413C2×C8—131no—
1414C2×C8—131no—
1415C2×C8—131no—
1416C2×C8—131no—
1417C2×C8—131no—
1418C2×C8—262no—
1419C2×C8—262no—
1420C2×C8—521no—
1421C2×C8—521no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—131no—
1444C4⋊C4—131no—
1445C4⋊C4—131no—
1446C4⋊C4—131no—
1447C4⋊C4—261no—
1448C4⋊C4—261no—
1449C4⋊C4—261no—
1450C4⋊C4—261no—
1451C4⋊C4—261no—
1452C4⋊C4—261no—
1453C4⋊C4—261no—
1454C4⋊C4—261no—
1455C4⋊C4—261no—
1456C4⋊C4—261no—
1457C4⋊C4—261no—
1458C4⋊C4—261no—
1459C4⋊C4—261no—
1460C4⋊C4—261no—
1461C4⋊C4—261no—
1462C4⋊C4—261no—
1463C4⋊C4C2×C22⋊D1311yescharacteristic
1464C4⋊C4C2×C22⋊D1311yescharacteristic
1465C4⋊C4C2×C22⋊D1311yescharacteristic
1466C4⋊C4C2×C22⋊D1311yescharacteristic
1467C4⋊C4C2×C22⋊D1311yescharacteristic
1468C4⋊C4C2×C22⋊D1311yescharacteristic
1469C4⋊C4C23×D1311yescharacteristic
1470C4⋊C4C23×D1311yescharacteristic
1471C4⋊C4C23×D1311yescharacteristic
1472C4⋊C4C23×D1311yescharacteristic
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—261no—
1487C22⋊C4—261no—
1488C22⋊C4—261no—
1489C22⋊C4—261no—
1490C22⋊C4—261no—
1491C22⋊C4—261no—
1492C22⋊C4—261no—
1493C22⋊C4—261no—
1494C22⋊C4—261no—
1495C22⋊C4—261no—
1496C22⋊C4—261no—
1497C22⋊C4—261no—
1498C22⋊C4—261no—
1499C22⋊C4—261no—
1500C22⋊C4—261no—
1501C22⋊C4—261no—
1502C22⋊C4—261no—
1503C22⋊C4—261no—
1504C22⋊C4C2×C22⋊D1311yescharacteristic
1505C22⋊C4C2×C22⋊D1311yescharacteristic
1506C22⋊C4C2×C22⋊D1311yescharacteristic
1507C22⋊C4C2×C22⋊D1311yescharacteristic
1508C22⋊C4C2×C22⋊D1311yescharacteristic
1509C22⋊C4C2×C22⋊D1311yescharacteristic
1510C42—21no—
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—261no—
1520C42—261no—
1521C42—261no—
1522C42—261no—
1523C42—261no—
1524C42—261no—
1525C42C2×C22⋊D1311yescharacteristic
1526C42C2×C22⋊D1311yescharacteristic
1527C42C2×C22⋊D1311yescharacteristic
1528C42C2×C22⋊D1311yescharacteristic
1529C42C2×C22⋊D1311yescharacteristic
1530C42C2×C22⋊D1311yescharacteristic
1531C42C23×D1311yescharacteristic
1532C42C23×D1311yescharacteristic
1533C42C23×D1311yescharacteristic
1534C42C23×D1311yescharacteristic
1535C13#6145511yescharacteristic, complemented, Sylow
1536C23—21no—
1537C23—261no—
1538C23—261no—
1539C23—522no—
1540C23—522no—
1541C23—1041no—
1542C23C22×C22⋊D1311yescharacteristic
1543C23C22×C22⋊D1311yescharacteristic
1544C23C22×C22⋊D1311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—41no—
1551Q8—42no—
1552Q8—42no—
1553Q8—42no—
1554Q8—261no—
1555Q8—261no—
1556Q8—261no—
1557Q8—261no—
1558Q8—1041no—
1559Q8#41×D1312yes—
1560D4—22no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—41no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—132no—
1569D4—261no—
1570D4—261no—
1571D4—261no—
1572D4—522no—
1573D4—522no—
1574D4—522no—
1575D4—1041no—
1576D4—1041no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—522no—
1610C2×C4—522no—
1611C2×C4—522no—
1612C2×C4—522no—
1613C2×C4—522no—
1614C2×C4—522no—
1615C2×C4—522no—
1616C2×C4—1041no—
1617C2×C4—1041no—
1618C2×C4C22×C22⋊D1311yescharacteristic
1619C2×C4C22×C22⋊D1311yescharacteristic
1620C2×C4C22×C22⋊D1311yescharacteristic
1621C2×C4C22×C22⋊D1311yescharacteristic
1622C2×C4C22×C22⋊D1311yescharacteristic
1623C2×C4C22×C22⋊D1311yescharacteristic
1624C2×C4C22×C22⋊D1311yescharacteristic
1625C2×C4C22×C22⋊D1311yescharacteristic
1626C2×C4C22×C22⋊D1311yescharacteristic
1627C2×C4C22×C22⋊D1311yescharacteristic
1628C2×C4C22×C22⋊D1311yescharacteristic
1629C2×C4C24×D1311yescharacteristic
1630C8—132no—
1631C8—261no—
1632C8—261no—
1633C8—261no—
1634C8—261no—
1635C8—261no—
1636C8—261no—
1637C8—261no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—262no—
1650C22—521no—
1651C22—521no—
1652C22—521no—
1653C22—521no—
1654C22—521no—
1655C22—1044no—
1656C22#1171952712yes—
1657C22C23×C22⋊D1311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—22no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—521no—
1677C4—521no—
1678C4—521no—
1679C4—521no—
1680C4—521no—
1681C4—521no—
1682C4C2×#41×D1311yescharacteristic
1683C4#1171964811yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—81no—
1688C2—522no—
1689C2—1041no—
1690C2#41×C22⋊D1311yescharacteristic
1691C2C2×#1171952711yescharacteristic
1692C2#1312962311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3482C2
socleC22×C13C23×D4
hypercenter#3482D13
hypocenterC13#61455
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #13128400C2semidirect
2. #13127911C2semidirect
3. #13127775C2semidirect
4. #13127678C2semidirect
5. #13127657C2semidirect
6. #13127345C2semidirect
7. #13127270C2semidirect
8. #13127198C2semidirect
9. #13127022C2semidirect
10. #13126926C2semidirect
11. #13126887C2semidirect
12. #13126791C2semidirect
13. #13126723C2semidirect
14. #13126665C2semidirect
15. #13126544C2semidirect
16. #13126392C2semidirect
17. #13126347C2semidirect
18. #13125559C2semidirect
19. #13125546C2semidirect
20. #13125539C2semidirect
21. #13125007C2semidirect
22. #13124992C2semidirect
23. #13124970C2semidirect
24. #13124966C2semidirect
25. #13124945C2semidirect
26. #13124939C2semidirect
27. #13123850C2semidirect
28. C4×#88196C2semidirect
29. #13123634C2semidirect
30. C2×#11718687C2semidirect
31. C13×#3482C2semidirect
32. C13×#557C22semidirect
34. C13×#556C22semidirect
38. C13×#552C22semidirect
41. C13×#548C22semidirect
45. C13×#533C22semidirect
49. C13×#529C22semidirect
52. C4×C13×#41C22semidirect
54. C2×C4×Q8×C13C22semidirect
80. #11718900C22semidirect
82. #11718894C22semidirect
85. #11718889C22semidirect
87. #11718886C22semidirect
89. #11718752C22semidirect
90. #11718751C22semidirect
95. #11718743C22semidirect
96. #11718741C22semidirect
97. #11718730C22semidirect
102. #11718726C22semidirect
103. #11718725C22semidirect
104. #11718724C22semidirect
105. #11718721C22semidirect
110. #11718717C22semidirect
111. #11718716C22semidirect
112. #11718715C22semidirect
113. #11718713C22semidirect
116. #11718712C22semidirect
117. #11718712C22semidirect
125. #11718706C22semidirect
126. #11718706C22semidirect
127. #11718706C22semidirect
129. #11718703C22semidirect
135. #11718696C22semidirect
137. #11718692C22semidirect
138. #11718692C22semidirect
139. #11718691C22semidirect
140. #11718691C22semidirect
141. #11718691C22semidirect
142. #11718691C22semidirect
143. #11718691C22semidirect
144. #11718691C22semidirect
145. #11718691C22semidirect
146. C4×#6107C22semidirect
147. C4×#6107C22semidirect
164. #11718685C22semidirect
165. #11718685C22semidirect
166. #11718683C22semidirect
167. #11718683C22semidirect
168. #11718683C22semidirect
169. #11718681C22semidirect
170. #11718681C22semidirect
171. #11718679C22semidirect
172. #11718679C22semidirect
173. #11718679C22semidirect
180. #11718672C22semidirect
181. #11718672C22semidirect
184. #11718670C22semidirect
187. #11718659C22semidirect
188. #11718657C22semidirect
191. #11718631C22semidirect
195. #11718625C22semidirect
198. #11718587C22semidirect
199. #11718587C22semidirect
200. C4×#6099C22semidirect
202. C2×#88043C22semidirect
633. #6106#41semidirect
690. #3482D13semidirect
826. #557C2×D13semidirect
829. #556C2×D13semidirect
839. #552C2×D13semidirect
844. #548C2×D13semidirect
852. #533C2×D13semidirect
860. #529C2×D13semidirect
866. C4×#41C2×D13semidirect
868. C2×C4×Q8C2×D13semidirect
1535. C13#61455semidirect

Maximal subgroups

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

subgroupindex
#131284002
#131279112
#131277752
#131276782
#131276572
#131273452
#131272702
#131271982
#131270222
#131269262
#131268872
#131267912
#131267232
#131266652
#131265442
#131263922
#131263472
#131255592
#131255462
#131255392
#131250072
#131249922
#131249702
#131249662
#131249452
#131249392
#131238502
C4×#881962
#131236342
C2×#117186872
C13×#34822
#6145513