Finite Group Databasebeta

← #16745994

Subgroups — #16745994

Order 3328.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128780C211yesmaximal, characteristic, complemented
2#13127902C211yesmaximal, characteristic, complemented
3#13127742C211yesmaximal, characteristic, complemented
4#13127657C211yesmaximal, characteristic, complemented
5#13127650C211yesmaximal, characteristic, complemented
6#13127414C211yesmaximal, characteristic, complemented
7#13127360C211yesmaximal, characteristic, complemented
8#13127336C211yesmaximal, characteristic, complemented
9#13127104C211yesmaximal, characteristic, complemented
10#13127061C211yesmaximal, characteristic, complemented
11#13127007C211yesmaximal, characteristic, complemented
12#13126986C211yesmaximal, characteristic, complemented
13#13126866C211yesmaximal, characteristic, complemented
14#13126827C211yesmaximal, characteristic, complemented
15#13126468C211yesmaximal, characteristic, complemented
16#13126347C211yesmaximal, characteristic, complemented
17#13126332C211yesmaximal, characteristic, complemented
18#13125513C211yesmaximal, characteristic, complemented
19#13125469C211yesmaximal, characteristic, complemented
20#13125436C211yesmaximal, characteristic, complemented
21#13125127C211yesmaximal, characteristic, complemented
22#13125092C211yesmaximal, characteristic, complemented
23#13125065C211yesmaximal, characteristic, complemented
24#13125014C211yesmaximal, characteristic, complemented
25#13124945C211yesmaximal, characteristic, complemented
26#13124931C211yesmaximal, characteristic, complemented
27#13123823C211yesmaximal, characteristic, complemented
28#13123695C211yesmaximal, characteristic, complemented
29#13123679C211yesmaximal, characteristic, complemented
30C4×#88203C211yesmaximal, characteristic, complemented
31C13×#3518C211yesmaximal, characteristic, complemented
32Q82×C13C2211yescharacteristic, complemented
33C13×#556—21no—
34C13×#556—21no—
35C13×#556—21no—
36C13×#556C2211yescharacteristic
37C13×#556C2211yescharacteristic, complemented
38C13×#556C2211yescharacteristic, complemented
39C13×#555—21no—
40C13×#555C2211yescharacteristic, complemented
41D4×Q8×C13C2211yescharacteristic, complemented
42C13×#548C2211yescharacteristic
43C13×#548C2211yescharacteristic, complemented
44C13×#542—21no—
45C13×#542—21no—
46C13×#542C2211yescharacteristic, complemented
47C13×#542C2211yescharacteristic, complemented
48C13×#533—21no—
49C13×#533C2211yescharacteristic, complemented
50C13×#529—21no—
51C13×#529C2211yescharacteristic
52C13×#519C2211yescharacteristic, complemented
53C13×#519C2211yescharacteristic, complemented
54C4×C13×#41C2211yescharacteristic, complemented
55C2×#88203C2211yescharacteristic
56C2×#88196C2211yescharacteristic
57C22×#6106C2211yescharacteristic
58#11719414—21no—
59#11719410—21no—
60#11719397—21no—
61#11719383—21no—
62#11719361—21no—
63D13×#123—21no—
64#11719342—21no—
65#11719315—21no—
66#11719290C2211yescharacteristic
67#11719284C2211yescharacteristic
68#11719270C2211yescharacteristic
69#11719260C2211yescharacteristic
70#11719255C2211yescharacteristic
71#11719255C2211yescharacteristic
72D4×D52C2211yescharacteristic
73#11719246C2211yescharacteristic
74#11719240C2211yescharacteristic
75#11719239C2211yescharacteristic
76#11719228C2211yescharacteristic
77#11719226C2211yescharacteristic
78#11719184C2211yescharacteristic
79C2×C4×D52C2211yescharacteristic
80#11718900C2211yescharacteristic, complemented
81#11718899C2211yescharacteristic
82#11718893C2211yescharacteristic, complemented
83#11718889C2211yescharacteristic, complemented
84#11718888C2211yescharacteristic
85#11718888C2211yescharacteristic, complemented
86#11718888C2211yescharacteristic, complemented
87#11718886C2211yescharacteristic, complemented
88C2×#88075C2211yescharacteristic, complemented
89#11718752C2211yescharacteristic, complemented
90#11718750C2211yescharacteristic, complemented
91#11718750C2211yescharacteristic, complemented
92#11718749C2211yescharacteristic
93#11718748C2211yescharacteristic
94#11718748C2211yescharacteristic
95#11718748C2211yescharacteristic, complemented
96#11718748C2211yescharacteristic, complemented
97#11718747C2211yescharacteristic, complemented
98#11718745C2211yescharacteristic
99#11718744C2211yescharacteristic
100#11718744C2211yescharacteristic, complemented
101#11718743C2211yescharacteristic, complemented
102#11718741C2211yescharacteristic, complemented
103#11718741C2211yescharacteristic, complemented
104#11718739C2211yescharacteristic, complemented
105#11718720C2211yescharacteristic, complemented
106#11718719C2211yescharacteristic
107#11718718C2211yescharacteristic
108#11718718C2211yescharacteristic
109#11718718C2211yescharacteristic, complemented
110#11718717C2211yescharacteristic, complemented
111#11718716C2211yescharacteristic, complemented
112#11718715C2211yescharacteristic, complemented
113#11718713C2211yescharacteristic, complemented
114#11718713C2211yescharacteristic, complemented
115#11718712C2211yescharacteristic, complemented
116#11718710C2211yescharacteristic
117#11718710C2211yescharacteristic
118#11718710C2211yescharacteristic
119#11718710C2211yescharacteristic, complemented
120#11718709C2211yescharacteristic, complemented
121#11718708C2211yescharacteristic
122#11718707C2211yescharacteristic
123#11718707C2211yescharacteristic
124#11718707C2211yescharacteristic
125#11718706C2211yescharacteristic, complemented
126#11718705C2211yescharacteristic, complemented
127#11718705C2211yescharacteristic, complemented
128#11718705C2211yescharacteristic, complemented
129#11718703C2211yescharacteristic, complemented
130#11718700C2211yescharacteristic, complemented
131#11718699C2211yescharacteristic
132#11718699C2211yescharacteristic, complemented
133#11718698C2211yescharacteristic
134#11718697C2211yescharacteristic
135#11718696C2211yescharacteristic, complemented
136#11718694C2211yescharacteristic, complemented
137#11718691C2211yescharacteristic, complemented
138#11718691C2211yescharacteristic, complemented
139C4×#6107C2211yescharacteristic, complemented
140C4×#6107C2211yescharacteristic, complemented
141C4×#6107C2211yescharacteristic, complemented
142#11718689C2211yescharacteristic, complemented
143#11718689C2211yescharacteristic, complemented
144#11718689C2211yescharacteristic, complemented
145#11718688C2211yescharacteristic
146#11718688C2211yescharacteristic
147#11718687C2211yescharacteristic
148#11718687C2211yescharacteristic
149#11718687C2211yescharacteristic
150#11718687C2211yescharacteristic
151#11718687C2211yescharacteristic
152#11718687C2211yescharacteristic, complemented
153#11718687C2211yescharacteristic, complemented
154#11718687C2211yescharacteristic, complemented
155#11718687C2211yescharacteristic, complemented
156#11718687C2211yescharacteristic, complemented
157C4×#6106C2211yescharacteristic
158C4×#6106C2211yescharacteristic
159C4×#6106C2211yescharacteristic
160C4×#6106C2211yescharacteristic, complemented
161C4×#6106C2211yescharacteristic, complemented
162C4×#6106C2211yescharacteristic, complemented
163C4×#6106C2211yescharacteristic, complemented
164#11718685C2211yescharacteristic, complemented
165#11718685C2211yescharacteristic, complemented
166#11718683C2211yescharacteristic, complemented
167#11718683C2211yescharacteristic, complemented
168#11718683C2211yescharacteristic, complemented
169#11718682C2211yescharacteristic, complemented
170#11718681C2211yescharacteristic, complemented
171#11718679C2211yescharacteristic, complemented
172#11718677C2211yescharacteristic, complemented
173#11718675C2211yescharacteristic
174#11718675C2211yescharacteristic, complemented
175#11718675C2211yescharacteristic, complemented
176C4×#6104C2211yescharacteristic
177C4×#6104C2211yescharacteristic, complemented
178#11718673C2211yescharacteristic
179#11718673C2211yescharacteristic, complemented
180#11718672C2211yescharacteristic
181#11718672C2211yescharacteristic, complemented
182#11718672C2211yescharacteristic, complemented
183#11718672C2211yescharacteristic, complemented
184#11718670C2211yescharacteristic, complemented
185#11718664C2211yescharacteristic
186#11718664C2211yescharacteristic
187#11718664C2211yescharacteristic, complemented
188#11718664C2211yescharacteristic, complemented
189#11718663C2211yescharacteristic
190#11718662C2211yescharacteristic
191#11718662C2211yescharacteristic
192#11718661C2211yescharacteristic, complemented
193#11718661C2211yescharacteristic, complemented
194#11718659C2211yescharacteristic, complemented
195#11718658C2211yescharacteristic, complemented
196#11718658C2211yescharacteristic, complemented
197#11718657C2211yescharacteristic, complemented
198#11718657C2211yescharacteristic, complemented
199#11718656C2211yescharacteristic, complemented
200#11718656C2211yescharacteristic, complemented
201#11718587C2211yescharacteristic, complemented
202C4×#6099C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C22×Q8×C13C2311yescharacteristic
205C22×Q8×C13C2311yescharacteristic
206C2×#6129—21no—
207C2×D4×D13—21no—
208C2×#6127C2311yescharacteristic
209C22×D52C2311yescharacteristic
210C22×D52C2311yescharacteristic
211C22×C4×D13—21no—
212C13×C4⋊Q8—21no—
213C13×C4⋊Q8—21no—
214C13×C4⋊Q8—21no—
215C13×C4⋊Q8—21no—
216C13×C4⋊Q8C2311yescharacteristic
217C13×C4⋊Q8C2311yescharacteristic
218C13×C4⋊Q8C2311yescharacteristic
219C13×C4⋊Q8C2311yescharacteristic
220C13×#126—21no—
221C13×#126—21no—
222C13×#126—21no—
223C13×#126—21no—
224C13×#126—21no—
225C13×#126—21no—
226C13×#126—21no—
227C13×#126—21no—
228C13×#126D411yescharacteristic
229C13×#126D411yescharacteristic
230C13×#125—21no—
231C13×#125D411yescharacteristic
232C13×#124—21no—
233C13×#124—21no—
234C13×#124—21no—
235C13×#124—21no—
236C13×#124—21no—
237C13×#124—21no—
238C13×#124—21no—
239C13×#124—21no—
240C13×#124D411yescharacteristic
241C13×#124C2311yescharacteristic
242C13×#124C2311yescharacteristic
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⋊Q8—21no—
253C13×C22⋊Q8—21no—
254C13×C22⋊Q8—21no—
255C13×C22⋊Q8D411yescharacteristic
256C13×C22⋊Q8C2311yescharacteristic
257C13×C22⋊Q8C2311yescharacteristic
258C13×C22⋊Q8C2311yescharacteristic
259C13×C22⋊Q8C2311yescharacteristic
260C13×#121—21no—
261C13×#121—21no—
262C13×#121—21no—
263C13×#121D411yescharacteristic
264C13×#121C2311yescharacteristic
265C13×#121C2311yescharacteristic
266C4×Q8×C13—21no—
267C4×Q8×C13—21no—
268C4×Q8×C13—21no—
269C4×Q8×C13—21no—
270C4×Q8×C13—21no—
271C4×Q8×C13—21no—
272C4×Q8×C13—21no—
273C4×Q8×C13—21no—
274C4×Q8×C13C2311yescharacteristic
275C4×Q8×C13C2311yescharacteristic
276C4×Q8×C13C2311yescharacteristic
277C4×Q8×C13C2311yescharacteristic
278C4×Q8×C13C2311yescharacteristic
279C4×Q8×C13C2311yescharacteristic
280C4×Q8×C13C2311yescharacteristic
281C4×Q8×C13C2311yescharacteristic
282C4×Q8×C13C2311yescharacteristic
283C4×D4×C13—21no—
284C4×D4×C13—21no—
285C4×D4×C13—21no—
286C4×D4×C13—21no—
287C4×D4×C13—21no—
288C4×D4×C13C2311yescharacteristic
289C4×D4×C13C2311yescharacteristic
290C4×D4×C13C2311yescharacteristic
291C4×D4×C13C2311yescharacteristic
292C4×D4×C13C2311yescharacteristic
293C13×#117—21no—
294C13×#117—21no—
295C13×#117—21no—
296C13×#117—21no—
297C13×#117—21no—
298C13×#117—21no—
299C13×#117—21no—
300C13×#117—21no—
301C13×#117C2311yescharacteristic
302C13×#117C2311yescharacteristic
303C13×#117C2311yescharacteristic
304C13×#117C2311yescharacteristic
305C13×#117C2311yescharacteristic
306C2×C42×C13—21no—
307C2×C42×C13C2311yescharacteristic
308#88203—24no—
309#88201—21no—
310#88200—21no—
311C2×#6107C2311yescharacteristic
312C2×#6107C2311yescharacteristic
313C2×#6107C2311yescharacteristic
314#88196—24no—
315C2×#6106—24no—
316C2×#6106C2311yescharacteristic
317C2×#6106C2311yescharacteristic
318C2×#6106C2311yescharacteristic
319C2×#6106C2311yescharacteristic
320C2×#6106C2311yescharacteristic
321C2×#6106C2311yescharacteristic
322C2×#6106C2311yescharacteristic
323C2×#6106C2311yescharacteristic
324C2×#6106C2311yescharacteristic
325#88193—21no—
326#88191—21no—
327#88191—21no—
328#88189—21no—
329C2×#6105C2311yescharacteristic
330C2×#6104C2311yescharacteristic
331C2×#6104C2311yescharacteristic
332C2×#6104C2311yescharacteristic
333#88184C2311yescharacteristic
334#88184C2311yescharacteristic
335#88184C2311yescharacteristic
336#88184C2311yescharacteristic
337#88183—21no—
338C4×C22⋊D13—21no—
339C2×#6103—21no—
340#88180C2311yescharacteristic
341C2×C4⋊Dic13C2311yescharacteristic
342C2×C4⋊Dic13C2311yescharacteristic
343#88178C2311yescharacteristic
344#88178C2311yescharacteristic
345C2×#6099C2311yescharacteristic
346C2×#6099C2311yescharacteristic
347C2×#6099C2311yescharacteristic
348C2×#6099C2311yescharacteristic
349C22×#1055C2311yescharacteristic
350C22×#1055C2311yescharacteristic
351#88152—21no—
352#88152—21no—
353#88151—21no—
354#88150—21no—
355#88150—21no—
356#88150—21no—
357#88149—21no—
358#88148—21no—
359#88148—21no—
360#88148—21no—
361#88148—21no—
362#88148—21no—
363#88148—21no—
364#88147—21no—
365#88147—21no—
366#88147—21no—
367#88146—21no—
368C4⋊C4×D13—21no—
369C4⋊C4×D13—21no—
370#88143—21no—
371#88140—21no—
372#88140—21no—
373#88139—21no—
374#88138—21no—
375#88138—21no—
376#88138—21no—
377#88138—21no—
378#88137—21no—
379#88137—21no—
380#88136—21no—
381#88136—21no—
382#88135—21no—
383#88135—21no—
384#88135—21no—
385C22⋊C4×D13—21no—
386C22⋊C4×D13—21no—
387C22⋊C4×D13—21no—
388C22⋊C4×D13—21no—
389#88133—21no—
390#88131—21no—
391#88130—21no—
392#88129C2311yescharacteristic
393#88129C2311yescharacteristic
394#88128C2311yescharacteristic
395C4×D52—21no—
396C4×D52—21no—
397C4×D52C2311yescharacteristic
398C4×D52C2311yescharacteristic
399C4×D52C2311yescharacteristic
400C4×D52C2311yescharacteristic
401C4×D52C2311yescharacteristic
402C4×D52C2311yescharacteristic
403C4×D52C2311yescharacteristic
404C4×D52C2311yescharacteristic
405#88126—21no—
406#88124C2311yescharacteristic
407#88124C2311yescharacteristic
408#88123C2311yescharacteristic
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#88049C2311yescharacteristic
438#88049C2311yescharacteristic
439#88049C2311yescharacteristic
440#88049C2311yescharacteristic
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#88047C2311yescharacteristic
456#88047C2311yescharacteristic
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
477C4×#1055C2311yescharacteristic
478C4×#1055C2311yescharacteristic
479C4×#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481#61503—131nomaximal, Sylow
482C23×D13—21no—
483C23×D13—21no—
484C13×#41—22no—
485C13×#41—41no—
486C2×Q8×C13—21no—
487C2×Q8×C13—21no—
488C2×Q8×C13—21no—
489C2×Q8×C13—21no—
490C2×Q8×C13—21no—
491C2×Q8×C13—22no—
492C2×Q8×C13—22no—
493C2×Q8×C13—41no—
494C2×Q8×C13—41no—
495C2×Q8×C13C2×D411yescharacteristic
496C2×Q8×C13C2411yescharacteristic
497C2×Q8×C13C2411yescharacteristic
498C2×Q8×C13C2411yescharacteristic
499C2×D4×C13—21no—
500C2×D4×C13—21no—
501C2×D4×C13—21no—
502C2×D4×C13C2×D411yescharacteristic
503C2×D4×C13C2×D411yescharacteristic
504C2×D4×C13C2×D411yescharacteristic
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×C13C2×D411yescharacteristic
512C22×C4×C13C2×D411yescharacteristic
513C22×C4×C13C2411yescharacteristic
514C22×C4×C13C2411yescharacteristic
515C22×C4×C13C2411yescharacteristic
516C2×C22⋊D13—21no—
517C2×C22⋊D13—21no—
518C2×C22⋊D13—21no—
519C2×C22⋊D13—21no—
520C2×C22⋊D13—21no—
521C22×Dic13—21no—
522C22×Dic13—21no—
523#6129—82no—
524D4×D13—82no—
525#6127—22no—
526#6127—41no—
527C2×D52—22no—
528C2×D52—22no—
529C2×D52—21no—
530C2×D52—21no—
531C2×D52—21no—
532C2×D52—21no—
533C2×D52—41no—
534C2×D52—41no—
535C2×D52C2411yescharacteristic
536C2×D52C2411yescharacteristic
537C2×D52C2411yescharacteristic
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—82no—
548C2×Dic26—21no—
549C2×Dic26C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
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⋊C4C2411yescharacteristic
578C13×C4⋊C4C2411yescharacteristic
579C13×C4⋊C4C2411yescharacteristic
580C13×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
592C13×C22⋊C4—21no—
593C13×C22⋊C4—21no—
594C13×C22⋊C4—21no—
595C13×C22⋊C4—21no—
596C13×C22⋊C4C2×D411yescharacteristic
597C13×C22⋊C4C2×D411yescharacteristic
598C13×C22⋊C4C2×D411yescharacteristic
599C13×C22⋊C4C2×D411yescharacteristic
600C13×C22⋊C4C2×D411yescharacteristic
601C13×C22⋊C4C2×D411yescharacteristic
602C13×C22⋊C4C2×D411yescharacteristic
603C13×C22⋊C4C2×D411yescharacteristic
604C13×C22⋊C4C2×D411yescharacteristic
605C13×C22⋊C4C2×D411yescharacteristic
606C42×C13—21no—
607C42×C13—21no—
608C42×C13—21no—
609C42×C13—21no—
610C42×C13—21no—
611C42×C13—21no—
612C42×C13—21no—
613C42×C13—21no—
614C42×C13—21no—
615C42×C13—21no—
616C42×C13—21no—
617C42×C13C2×D411yescharacteristic
618C42×C13C2×D411yescharacteristic
619C42×C13C2411yescharacteristic
620C42×C13C2411yescharacteristic
621C42×C13C2411yescharacteristic
622C42×C13C2411yescharacteristic
623C22⋊Dic13—21no—
624C22⋊Dic13—21no—
625C22⋊Dic13—21no—
626#6107—22no—
627#6107—22no—
628#6107—41no—
629#6106—22no—
630#6106—22no—
631#6106—22no—
632#6106—22no—
633#6106—22no—
634#6106—41no—
635#6106—41no—
636#6106—41no—
637#6106#4114yescomplemented
638#6105—41no—
639#6104—22no—
640#6104—22no—
641#6104—41no—
642#6103—21no—
643#6103—21no—
644#6103—21no—
645#6103—21no—
646#6103—21no—
647#6103—21no—
648#6103—21no—
649#6103—21no—
650#6103—21no—
651#6103—21no—
652#6103—21no—
653#6103—21no—
654#6103—21no—
655#6103—21no—
656#6103—21no—
657#6103—21no—
658C4⋊Dic13—21no—
659C4⋊Dic13—21no—
660C4⋊Dic13—21no—
661C4⋊Dic13C2411yescharacteristic
662C4⋊Dic13C2411yescharacteristic
663C4⋊Dic13C2411yescharacteristic
664C4⋊Dic13C2411yescharacteristic
665#6101—21no—
666#6101—21no—
667#6101—21no—
668#6101—21no—
669#6101—21no—
670#6101—21no—
671#6101—21no—
672#6101—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13—21no—
676#6099—22no—
677#6099—22no—
678#6099—41no—
679#6099—41no—
680C2×#1055—22no—
681C2×#1055—41no—
682C2×#1055C2411yescharacteristic
683C2×#1055C2411yescharacteristic
684C2×#1055C2411yescharacteristic
685C2×#1055C2411yescharacteristic
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688C2×#1055C2411yescharacteristic
689C2×#1055C2411yescharacteristic
690#3518D1311yescharacteristic, complemented
691#3513—131no—
692#3401—131no—
693#3385—131no—
694#3376—131no—
695#3375—131no—
696#3353—131no—
697#3349—131no—
698#3347—131no—
699#3327—131no—
700#3324—131no—
701#3320—131no—
702#3319—131no—
703#3311—131no—
704#3308—131no—
705#3275—131no—
706#3266—131no—
707#3265—131no—
708#3179—131no—
709#3175—131no—
710#3172—131no—
711#3126—131no—
712#3124—131no—
713#3121—131no—
714#3118—131no—
715#3111—131no—
716#3110—131no—
717#2967—131no—
718#2949—131no—
719#2947—131no—
720C4×AGL(1,ℤ/8)—131no—
721C23×C13—21no—
722C23×C13C22×D411yescharacteristic
723C23×C13C22×D411yescharacteristic
724C23×C13C22×D411yescharacteristic
725C22×D13—21no—
726C22×D13—21no—
727C22×D13—21no—
728C22×D13—42no—
729C22×D13—42no—
730C22×D13—42no—
731C22×D13—81no—
732C22×D13—81no—
733C22×D13—81no—
734Q8×C13—21no—
735Q8×C13—21no—
736Q8×C13—21no—
737Q8×C13—21no—
738Q8×C13—21no—
739Q8×C13—41no—
740Q8×C13—42no—
741Q8×C13—42no—
742Q8×C13—81no—
743Q8×C13—81no—
744Q8×C13—81no—
745Q8×C13C2×#4112yes—
746D4×C13—21no—
747D4×C13—21no—
748D4×C13—41no—
749D4×C13—41no—
750D4×C13—41no—
751D4×C13—42no—
752D4×C13—81no—
753D4×C13—81no—
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—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—41no—
768C2×C4×C13—41no—
769C2×C4×C13—42no—
770C2×C4×C13—42no—
771C2×C4×C13—42no—
772C2×C4×C13—42no—
773C2×C4×C13—81no—
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—
790C22⋊D13—81no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—21no—
796C2×Dic13—42no—
797C2×Dic13—81no—
798D52—21no—
799D52—21no—
800D52—21no—
801D52—21no—
802D52—21no—
803D52—42no—
804D52—42no—
805D52—81no—
806D52—81no—
807D52C2×#4112yes—
808C4×D13—42no—
809C4×D13—81no—
810C4×D13—81no—
811C4×D13—81no—
812C4×D13—81no—
813C4×D13—81no—
814C4×D13—81no—
815C4×D13—81no—
816C4×D13—81no—
817Dic26—21no—
818Dic26—21no—
819Dic26—81no—
820#1055—21no—
821#1055—21no—
822#1055—21no—
823#1055—21no—
824#1055—21no—
825#1055—21no—
826#1055—21no—
827#1055C2×#4112yes—
828C2×#137—131no—
829C2×AGL(1,ℤ/8)—131no—
830C22×SD16—131no—
831#559—131no—
832Q82C2×D1311yescharacteristic, complemented
833#556—21no—
834#556—21no—
835#556—21no—
836#556C2×D1311yescharacteristic
837#556C2×D1311yescharacteristic, complemented
838#556C2×D1311yescharacteristic, complemented
839#555—21no—
840#555C2×D1311yescharacteristic, complemented
841#554—131no—
842#553—131no—
843#553—261no—
844#552—131no—
845#551—261no—
846#551—261no—
847D4×Q8C2×D1311yescharacteristic, complemented
848#548C2×D1311yescharacteristic
849#548C2×D1311yescharacteristic, complemented
850#547—131no—
851#546—131no—
852#546—131no—
853#546—261no—
854D42—131no—
855#542—21no—
856#542—21no—
857#542—131no—
858#542C2×D1311yescharacteristic, complemented
859#542C2×D1311yescharacteristic, complemented
860#540—131no—
861#539—261no—
862#538—261no—
863#533—21no—
864#533C2×D1311yescharacteristic, complemented
865#529—21no—
866#529—131no—
867#529C2×D1311yescharacteristic
868#525—261no—
869C2×#123—261no—
870#520—131no—
871#519C2×D1311yescharacteristic, complemented
872#519C2×D1311yescharacteristic, complemented
873#518—131no—
874C4×#41C2×D1311yescharacteristic, complemented
875C2×C4×D4—131no—
876#501—131no—
877#501—131no—
878#500—131no—
879#497—131no—
880#496—131no—
881#495—131no—
882#491—131no—
883#489—131no—
884#489—131no—
885#489—131no—
886#488—131no—
887#486—131no—
888#485—131no—
889#485—131no—
890#485—131no—
891#484—131no—
892#484—131no—
893#484—131no—
894#482—131no—
895#482—131no—
896#482—131no—
897#482—131no—
898#482—131no—
899#480—131no—
900#479—131no—
901#479—131no—
902#479—131no—
903#478—131no—
904#477—131no—
905#477—131no—
906#476—131no—
907#475—131no—
908#474—131no—
909#474—131no—
910#474—131no—
911#474—131no—
912#470—131no—
913#470—131no—
914#469—131no—
915#468—131no—
916#468—131no—
917#468—131no—
918#468—131no—
919#468—131no—
920#467—131no—
921#466—131no—
922#466—131no—
923#465—131no—
924#464—131no—
925#464—131no—
926#464—131no—
927#464—131no—
928#463—131no—
929#463—131no—
930#463—131no—
931#463—131no—
932#461—131no—
933#461—131no—
934#460—131no—
935#460—131no—
936#452—131no—
937#452—131no—
938#451—131no—
939#450—131no—
940#450—131no—
941#450—131no—
942#449—131no—
943#449—131no—
944#448—131no—
945#448—131no—
946#448—131no—
947#447—131no—
948#446—131no—
949#446—131no—
950#442—131no—
951#442—131no—
952#442—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—
966C4×Q16—131no—
967C4×Q16—131no—
968C4×Q16—131no—
969C4×SD16—131no—
970C4×SD16—131no—
971C4×SD16—131no—
972C4×SD16—131no—
973C4×SD16—131no—
974C4×SD16—131no—
975C4×SD16—131no—
976C4×D8—131no—
977C4×D8—131no—
978#436—131no—
979#436—131no—
980#435—131no—
981#435—131no—
982#435—131no—
983#435—131no—
984#433—131no—
985#433—131no—
986#432—131no—
987#428—131no—
988#428—131no—
989#427—131no—
990#419—131no—
991#418—131no—
992#418—131no—
993#417—131no—
994#416—131no—
995C2×#103—131no—
996#405—131no—
997#405—131no—
998C4×M16—131no—
999C22×C13—21no—
1000C22×C13—21no—
1001C22×C13—21no—
1002C22×C13—21no—
1003C22×C13—21no—
1004C22×C13—21no—
1005C22×C13—21no—
1006C22×C13—21no—
1007C22×C13—21no—
1008C22×C13—41no—
1009C22×C13—41no—
1010C22×C13—41no—
1011C22×C13C23×D411yescharacteristic
1012C2×D13—22no—
1013C2×D13—41no—
1014C2×D13—41no—
1015C2×D13—41no—
1016C2×D13—41no—
1017C2×D13—41no—
1018C2×D13—41no—
1019C2×D13—41no—
1020C2×D13—41no—
1021C2×D13—84no—
1022C2×D13—162no—
1023C4×C13—21no—
1024C4×C13—21no—
1025C4×C13—21no—
1026C4×C13—21no—
1027C4×C13—21no—
1028C4×C13—21no—
1029C4×C13—21no—
1030C4×C13—21no—
1031C4×C13—21no—
1032C4×C13—21no—
1033C4×C13—21no—
1034C4×C13—22no—
1035C4×C13—41no—
1036C4×C13—41no—
1037C4×C13—41no—
1038C4×C13—41no—
1039C4×C13—41no—
1040C4×C13—41no—
1041C4×C13C22×#4111yescharacteristic
1042C4×C13#58511yescharacteristic
1043Dic13—41no—
1044Dic13—41no—
1045Dic13—41no—
1046Dic13—41no—
1047Dic13—41no—
1048C2×#41—131no—
1049C2×#41—261no—
1050C2×#41C22×D1311yescharacteristic
1051C22×Q8C22×D1311yescharacteristic
1052C22×Q8C22×D1311yescharacteristic
1053C22×D4—131no—
1054C22×D4—131no—
1055C22×D4—261no—
1056C23×C4—261no—
1057#137—264no—
1058AGL(1,ℤ/8)—264no—
1059C2×Q16—131no—
1060C2×Q16—131no—
1061C2×Q16—131no—
1062C2×SD16—131no—
1063C2×SD16—131no—
1064C2×SD16—131no—
1065C2×SD16—131no—
1066C2×SD16—131no—
1067C2×SD16—131no—
1068C2×SD16—131no—
1069C2×SD16—131no—
1070C2×SD16—131no—
1071C2×SD16—131no—
1072C2×SD16—264no—
1073C2×D8—131no—
1074C2×D8—131no—
1075C2×D8—131no—
1076C2×M16—131no—
1077C2×M16—131no—
1078C2×M16—131no—
1079C2×M16—131no—
1080C22×C8—131no—
1081C22×C8—131no—
1082C4⋊Q8—21no—
1083C4⋊Q8—21no—
1084C4⋊Q8—21no—
1085C4⋊Q8—21no—
1086C4⋊Q8—131no—
1087C4⋊Q8C22×D1311yescharacteristic
1088C4⋊Q8C22×D1311yescharacteristic
1089C4⋊Q8C22×D1311yescharacteristic
1090C4⋊Q8C22×D1311yescharacteristic
1091#127—131no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—261no—
1101#126—261no—
1102#126—261no—
1103#126—261no—
1104#126C22⋊D1311yescharacteristic
1105#126C22⋊D1311yescharacteristic
1106#125—21no—
1107#125—131no—
1108#125—131no—
1109#125—261no—
1110#125C22⋊D1311yescharacteristic
1111#124—21no—
1112#124—21no—
1113#124—21no—
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—131no—
1120#124—131no—
1121#124—261no—
1122#124—261no—
1123#124C22⋊D1311yescharacteristic
1124#124C22×D1311yescharacteristic
1125#124C22×D1311yescharacteristic
1126#123—21no—
1127#123—21no—
1128#123—261no—
1129#123—261no—
1130#123—261no—
1131#123—261no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123C22⋊D1311yescharacteristic
1141#123C22⋊D1311yescharacteristic
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—131no—
1151C22⋊Q8—131no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8C22⋊D1311yescharacteristic
1158C22⋊Q8C22×D1311yescharacteristic
1159C22⋊Q8C22×D1311yescharacteristic
1160C22⋊Q8C22×D1311yescharacteristic
1161C22⋊Q8C22×D1311yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—131no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121C22⋊D1311yescharacteristic
1176#121C22×D1311yescharacteristic
1177#121C22×D1311yescharacteristic
1178#120—261no—
1179#120—261no—
1180#120—261no—
1181#120—261no—
1182C4×Q8—21no—
1183C4×Q8—21no—
1184C4×Q8—21no—
1185C4×Q8—21no—
1186C4×Q8—21no—
1187C4×Q8—21no—
1188C4×Q8—21no—
1189C4×Q8—21no—
1190C4×Q8—131no—
1191C4×Q8—131no—
1192C4×Q8C22×D1311yescharacteristic
1193C4×Q8C22×D1311yescharacteristic
1194C4×Q8C22×D1311yescharacteristic
1195C4×Q8C22×D1311yescharacteristic
1196C4×Q8C22×D1311yescharacteristic
1197C4×Q8C22×D1311yescharacteristic
1198C4×Q8C22×D1311yescharacteristic
1199C4×Q8C22×D1311yescharacteristic
1200C4×Q8C22×D1311yescharacteristic
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—131no—
1211C4×D4—131no—
1212C4×D4—131no—
1213C4×D4—131no—
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×D4C22×D1311yescharacteristic
1224C4×D4C22×D1311yescharacteristic
1225C4×D4C22×D1311yescharacteristic
1226C4×D4C22×D1311yescharacteristic
1227C4×D4C22×D1311yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—131no—
1237#117—261no—
1238#117—261no—
1239#117—261no—
1240#117C22×D1311yescharacteristic
1241#117C22×D1311yescharacteristic
1242#117C22×D1311yescharacteristic
1243#117C22×D1311yescharacteristic
1244#117C22×D1311yescharacteristic
1245C2×C4⋊C4—131no—
1246C2×C4⋊C4—131no—
1247C2×C4⋊C4—261no—
1248C2×C4⋊C4—261no—
1249C2×C22⋊C4—261no—
1250C2×C22⋊C4—261no—
1251C2×C22⋊C4—261no—
1252C2×C22⋊C4—261no—
1253C2×C22⋊C4—261no—
1254C2×C42—21no—
1255C2×C42C22×D1311yescharacteristic
1256#107—131no—
1257#107—131no—
1258#107—131no—
1259#107—131no—
1260#107—131no—
1261#107—131no—
1262#107—131no—
1263#107—131no—
1264#107—131no—
1265#107—131no—
1266#106—131no—
1267#106—131no—
1268#106—131no—
1269#106—131no—
1270#106—131no—
1271#106—131no—
1272C4⋊C8—131no—
1273C4⋊C8—131no—
1274C4⋊C8—131no—
1275C4⋊C8—131no—
1276C4⋊C8—131no—
1277C4⋊C8—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#103—131no—
1291#103—131no—
1292#103—131no—
1293#103—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—
1302#102—131no—
1303#102—131no—
1304#102—131no—
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310C22⋊C8—131no—
1311C22⋊C8—131no—
1312C22⋊C8—131no—
1313C22⋊C8—131no—
1314C22⋊C8—131no—
1315C22⋊C8—131no—
1316#97—131no—
1317#97—131no—
1318#97—131no—
1319#97—131no—
1320#97—131no—
1321#97—131no—
1322C4×C8—131no—
1323C4×C8—131no—
1324C4×C8—131no—
1325C4×C8—131no—
1326C2×C13—41no—
1327C2×C13—41no—
1328C2×C13—41no—
1329C2×C13—81no—
1330C2×C13D4×#4111yescharacteristic
1331C2×C13#358511yescharacteristic
1332C2×C13#358611yescharacteristic
1333D13—42no—
1334D13—81no—
1335D13—81no—
1336C24—261no—
1337C24—261no—
1338#41—22no—
1339#41—41no—
1340#41—262no—
1341#41—521no—
1342#41—1042no—
1343C2×Q8—21no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—21no—
1347C2×Q8—21no—
1348C2×Q8—22no—
1349C2×Q8—22no—
1350C2×Q8—41no—
1351C2×Q8—41no—
1352C2×Q8—131no—
1353C2×Q8—261no—
1354C2×Q8C2×C22⋊D1311yescharacteristic
1355C2×Q8C23×D1311yescharacteristic
1356C2×Q8C23×D1311yescharacteristic
1357C2×Q8C23×D1311yescharacteristic
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—131no—
1362C2×D4—131no—
1363C2×D4—131no—
1364C2×D4—262no—
1365C2×D4—262no—
1366C2×D4—261no—
1367C2×D4—261no—
1368C2×D4—261no—
1369C2×D4—261no—
1370C2×D4—261no—
1371C2×D4—261no—
1372C2×D4—261no—
1373C2×D4—261no—
1374C2×D4—261no—
1375C2×D4—521no—
1376C2×D4—521no—
1377C2×D4—1042no—
1378C2×D4C2×C22⋊D1311yescharacteristic
1379C2×D4C2×C22⋊D1311yescharacteristic
1380C2×D4C2×C22⋊D1311yescharacteristic
1381C2×D4C23×D1311yescharacteristic
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—261no—
1388C22×C4—261no—
1389C22×C4—261no—
1390C22×C4—261no—
1391C22×C4—261no—
1392C22×C4—261no—
1393C22×C4—261no—
1394C22×C4—261no—
1395C22×C4—261no—
1396C22×C4—261no—
1397C22×C4—261no—
1398C22×C4—1042no—
1399C22×C4C2×C22⋊D1311yescharacteristic
1400C22×C4C2×C22⋊D1311yescharacteristic
1401C22×C4C23×D1311yescharacteristic
1402C22×C4C23×D1311yescharacteristic
1403C22×C4C23×D1311yescharacteristic
1404Q16—262no—
1405Q16—262no—
1406Q16—521no—
1407SD16—134no—
1408SD16—262no—
1409SD16—262no—
1410SD16—262no—
1411SD16—262no—
1412SD16—262no—
1413SD16—521no—
1414SD16—521no—
1415SD16—521no—
1416SD16—521no—
1417D8—262no—
1418D8—262no—
1419D8—521no—
1420M16—262no—
1421M16—262no—
1422M16—521no—
1423M16—521no—
1424C2×C8—131no—
1425C2×C8—131no—
1426C2×C8—131no—
1427C2×C8—131no—
1428C2×C8—131no—
1429C2×C8—131no—
1430C2×C8—131no—
1431C2×C8—131no—
1432C2×C8—262no—
1433C2×C8—521no—
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—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—131no—
1452C4⋊C4—131no—
1453C4⋊C4—131no—
1454C4⋊C4—131no—
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⋊C4—261no—
1464C4⋊C4—261no—
1465C4⋊C4—261no—
1466C4⋊C4C2×C22⋊D1311yescharacteristic
1467C4⋊C4C2×C22⋊D1311yescharacteristic
1468C4⋊C4C2×C22⋊D1311yescharacteristic
1469C4⋊C4C2×C22⋊D1311yescharacteristic
1470C4⋊C4C2×C22⋊D1311yescharacteristic
1471C4⋊C4C2×C22⋊D1311yescharacteristic
1472C4⋊C4C2×C22⋊D1311yescharacteristic
1473C4⋊C4C2×C22⋊D1311yescharacteristic
1474C4⋊C4C2×C22⋊D1311yescharacteristic
1475C4⋊C4C2×C22⋊D1311yescharacteristic
1476C4⋊C4C23×D1311yescharacteristic
1477C4⋊C4C23×D1311yescharacteristic
1478C4⋊C4C23×D1311yescharacteristic
1479C4⋊C4C23×D1311yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
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⋊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⋊C4C2×C22⋊D1311yescharacteristic
1515C22⋊C4C2×C22⋊D1311yescharacteristic
1516C22⋊C4C2×C22⋊D1311yescharacteristic
1517C22⋊C4C2×C22⋊D1311yescharacteristic
1518C22⋊C4C2×C22⋊D1311yescharacteristic
1519C22⋊C4C2×C22⋊D1311yescharacteristic
1520C22⋊C4C2×C22⋊D1311yescharacteristic
1521C22⋊C4C2×C22⋊D1311yescharacteristic
1522C22⋊C4C2×C22⋊D1311yescharacteristic
1523C22⋊C4C2×C22⋊D1311yescharacteristic
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—21no—
1531C42—21no—
1532C42—21no—
1533C42—21no—
1534C42—21no—
1535C42—261no—
1536C42—261no—
1537C42—261no—
1538C42C2×C22⋊D1311yescharacteristic
1539C42C2×C22⋊D1311yescharacteristic
1540C42C23×D1311yescharacteristic
1541C42C23×D1311yescharacteristic
1542C42C23×D1311yescharacteristic
1543C42C23×D1311yescharacteristic
1544C13#6150311yescharacteristic, complemented, Sylow
1545C23—21no—
1546C23—261no—
1547C23—261no—
1548C23—261no—
1549C23—522no—
1550C23—522no—
1551C23—522no—
1552C23—1041no—
1553C23—1041no—
1554C23—1041no—
1555C23C22×C22⋊D1311yescharacteristic
1556C23C22×C22⋊D1311yescharacteristic
1557C23C22×C22⋊D1311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—41no—
1564Q8—42no—
1565Q8—42no—
1566Q8—81no—
1567Q8—81no—
1568Q8—81no—
1569Q8—261no—
1570Q8—261no—
1571Q8—1041no—
1572Q8#41×D1312yes—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—41no—
1577D4—41no—
1578D4—42no—
1579D4—81no—
1580D4—81no—
1581D4—132no—
1582D4—261no—
1583D4—261no—
1584D4—261no—
1585D4—261no—
1586D4—261no—
1587D4—522no—
1588D4—522no—
1589D4—522no—
1590D4—522no—
1591D4—1041no—
1592D4—1041no—
1593D4—1041no—
1594D4—1041no—
1595D4—1041no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—261no—
1621C2×C4—522no—
1622C2×C4—522no—
1623C2×C4—1041no—
1624C2×C4—1041no—
1625C2×C4—1041no—
1626C2×C4—1041no—
1627C2×C4—1041no—
1628C2×C4—1041no—
1629C2×C4—1041no—
1630C2×C4—1041no—
1631C2×C4—1041no—
1632C2×C4C22×C22⋊D1311yescharacteristic
1633C2×C4C22×C22⋊D1311yescharacteristic
1634C2×C4C22×C22⋊D1311yescharacteristic
1635C2×C4C22×C22⋊D1311yescharacteristic
1636C2×C4C22×C22⋊D1311yescharacteristic
1637C2×C4C22×C22⋊D1311yescharacteristic
1638C2×C4C22×C22⋊D1311yescharacteristic
1639C2×C4C22×C22⋊D1311yescharacteristic
1640C2×C4C22×C22⋊D1311yescharacteristic
1641C2×C4C22×C22⋊D1311yescharacteristic
1642C2×C4C22×C22⋊D1311yescharacteristic
1643C2×C4C24×D1311yescharacteristic
1644C8—132no—
1645C8—261no—
1646C8—261no—
1647C8—261no—
1648C8—261no—
1649C8—261no—
1650C8—261no—
1651C8—261no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—262no—
1665C22—521no—
1666C22—521no—
1667C22—521no—
1668C22—521no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—1044no—
1674C22—2082no—
1675C22C23×C22⋊D1311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—22no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—21no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—521no—
1695C4—521no—
1696C4—521no—
1697C4—521no—
1698C4—521no—
1699C4C2×#41×D1311yescharacteristic
1700C4#1171964811yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—81no—
1705C2—522no—
1706C2—1041no—
1707C2—1041no—
1708C2#41×C22⋊D1311yescharacteristic
1709C2#1312961511yescharacteristic
1710C2#1312962311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3518C2
socleC22×C13C23×D4
hypercenter#3518D13
hypocenterC13#61503
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #529 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #13128780C2semidirect
2. #13127902C2semidirect
3. #13127742C2semidirect
4. #13127657C2semidirect
5. #13127650C2semidirect
6. #13127414C2semidirect
7. #13127360C2semidirect
8. #13127336C2semidirect
9. #13127104C2semidirect
10. #13127061C2semidirect
11. #13127007C2semidirect
12. #13126986C2semidirect
13. #13126866C2semidirect
14. #13126827C2semidirect
15. #13126468C2semidirect
16. #13126347C2semidirect
17. #13126332C2semidirect
18. #13125513C2semidirect
19. #13125469C2semidirect
20. #13125436C2semidirect
21. #13125127C2semidirect
22. #13125092C2semidirect
23. #13125065C2semidirect
24. #13125014C2semidirect
25. #13124945C2semidirect
26. #13124931C2semidirect
27. #13123823C2semidirect
28. #13123695C2semidirect
29. #13123679C2semidirect
30. C4×#88203C2semidirect
31. C13×#3518C2semidirect
32. Q82×C13C22semidirect
37. C13×#556C22semidirect
38. C13×#556C22semidirect
40. C13×#555C22semidirect
41. D4×Q8×C13C22semidirect
43. C13×#548C22semidirect
46. C13×#542C22semidirect
47. C13×#542C22semidirect
49. C13×#533C22semidirect
52. C13×#519C22semidirect
53. C13×#519C22semidirect
54. C4×C13×#41C22semidirect
80. #11718900C22semidirect
82. #11718893C22semidirect
83. #11718889C22semidirect
85. #11718888C22semidirect
86. #11718888C22semidirect
87. #11718886C22semidirect
88. C2×#88075C22semidirect
89. #11718752C22semidirect
90. #11718750C22semidirect
91. #11718750C22semidirect
95. #11718748C22semidirect
96. #11718748C22semidirect
97. #11718747C22semidirect
100. #11718744C22semidirect
101. #11718743C22semidirect
102. #11718741C22semidirect
103. #11718741C22semidirect
104. #11718739C22semidirect
105. #11718720C22semidirect
109. #11718718C22semidirect
110. #11718717C22semidirect
111. #11718716C22semidirect
112. #11718715C22semidirect
113. #11718713C22semidirect
114. #11718713C22semidirect
115. #11718712C22semidirect
119. #11718710C22semidirect
120. #11718709C22semidirect
125. #11718706C22semidirect
126. #11718705C22semidirect
127. #11718705C22semidirect
128. #11718705C22semidirect
129. #11718703C22semidirect
130. #11718700C22semidirect
132. #11718699C22semidirect
135. #11718696C22semidirect
136. #11718694C22semidirect
137. #11718691C22semidirect
138. #11718691C22semidirect
139. C4×#6107C22semidirect
140. C4×#6107C22semidirect
141. C4×#6107C22semidirect
142. #11718689C22semidirect
143. #11718689C22semidirect
144. #11718689C22semidirect
152. #11718687C22semidirect
153. #11718687C22semidirect
154. #11718687C22semidirect
155. #11718687C22semidirect
156. #11718687C22semidirect
160. C4×#6106C22semidirect
161. C4×#6106C22semidirect
162. C4×#6106C22semidirect
163. C4×#6106C22semidirect
164. #11718685C22semidirect
165. #11718685C22semidirect
166. #11718683C22semidirect
167. #11718683C22semidirect
168. #11718683C22semidirect
169. #11718682C22semidirect
170. #11718681C22semidirect
171. #11718679C22semidirect
172. #11718677C22semidirect
174. #11718675C22semidirect
175. #11718675C22semidirect
177. C4×#6104C22semidirect
179. #11718673C22semidirect
181. #11718672C22semidirect
182. #11718672C22semidirect
183. #11718672C22semidirect
184. #11718670C22semidirect
187. #11718664C22semidirect
188. #11718664C22semidirect
192. #11718661C22semidirect
193. #11718661C22semidirect
194. #11718659C22semidirect
195. #11718658C22semidirect
196. #11718658C22semidirect
197. #11718657C22semidirect
198. #11718657C22semidirect
199. #11718656C22semidirect
200. #11718656C22semidirect
201. #11718587C22semidirect
202. C4×#6099C22semidirect
637. #6106#41semidirect
690. #3518D13semidirect
832. Q82C2×D13semidirect
837. #556C2×D13semidirect
838. #556C2×D13semidirect
840. #555C2×D13semidirect
847. D4×Q8C2×D13semidirect
849. #548C2×D13semidirect
858. #542C2×D13semidirect
859. #542C2×D13semidirect
864. #533C2×D13semidirect
871. #519C2×D13semidirect
872. #519C2×D13semidirect
874. C4×#41C2×D13semidirect
1544. C13#61503semidirect

Maximal subgroups

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

subgroupindex
#131287802
#131279022
#131277422
#131276572
#131276502
#131274142
#131273602
#131273362
#131271042
#131270612
#131270072
#131269862
#131268662
#131268272
#131264682
#131263472
#131263322
#131255132
#131254692
#131254362
#131251272
#131250922
#131250652
#131250142
#131249452
#131249312
#131238232
#131236952
#131236792
C4×#882032
C13×#35182
#6150313