Finite Group Databasebeta

← D13×#3557 #16770361

Subgroups — D13×#3557 #16770361

Order 3328.

6554 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129344C211yesmaximal, characteristic, complemented
2#13129343C212yesmaximal, complemented
3#13129342C211yesmaximal, characteristic, complemented
4#13129341C211yesmaximal, characteristic, complemented
5#13129340C214yesmaximal, complemented
6#13129339C212yesmaximal, complemented
7#13129338C212yesmaximal, complemented
8#13129337C212yesmaximal, complemented
9#13129336C214yesmaximal, complemented
10#13129335C212yesmaximal, complemented
11#13129334C214yesmaximal, complemented
12#13129333C212yesmaximal, complemented
13#13129332C214yesmaximal, complemented
14D13×#563C214yesmaximal, complemented
15D13×#559C212yesmaximal, complemented
16D13×#557C212yesmaximal, complemented
17D13×#556C212yesmaximal, complemented
18D13×#554C212yesmaximal, complemented
19D13×#552C214yesmaximal, complemented
20D13×#542C214yesmaximal, complemented
21D13×#542C212yesmaximal, complemented
22D13×#541C211yesmaximal, characteristic, complemented
23D13×#540C211yesmaximal, characteristic
24D13×#539C214yesmaximal, complemented
25D13×#533C211yesmaximal, characteristic, complemented
26D13×#529C212yesmaximal, complemented
27C13×#3557C211yesmaximal, characteristic, complemented
28C13×#563C2214yescomplemented
29C13×#559C2212yescomplemented
30C13×#557C2212yescomplemented
31C13×#556C2212yescomplemented
32C13×#554C2212yescomplemented
33C13×#552C2214yescomplemented
34C13×#542C2214yescomplemented
35C13×#542C2212yescomplemented
36C13×#541C2211yescharacteristic, complemented
37C13×#540C2211yescharacteristic
38C13×#539C2214yescomplemented
39C13×#533C2211yescharacteristic, complemented
40C13×#529C2212yescomplemented
41#11719440C2214yescomplemented
42#11719440C2214yescomplemented
43#11719438C2214yescomplemented
44#11719438C2212yescomplemented
45#11719437C2212yescomplemented
46#11719436C2211yescharacteristic, complemented
47#11719435C2212yescomplemented
48#11719433C2212yescomplemented
49D13×C4⋊Q8C2212yes—
50D13×C4⋊Q8C2214yes—
51D13×C4⋊Q8C2211yescharacteristic
52D13×C4⋊Q8C2212yes—
53#11719426C2214yescomplemented
54#11719426C2212yescomplemented
55#11719424C2211yescharacteristic
56D13×#127C2211yescharacteristic
57#11719418C2212yescomplemented
58#11719417C2214yescomplemented
59#11719417C2214yescomplemented
60#11719417C2214yescomplemented
61#11719417C2214yescomplemented
62#11719415C2214yescomplemented
63#11719415C2214yescomplemented
64#11719415C2214yescomplemented
65#11719413C2214yescomplemented
66#11719413C2214yescomplemented
67#11719412C2214yescomplemented
68#11719412C2214yescomplemented
69#11719411C2214yescomplemented
70D13×#126C2214yes—
71D13×#126C2214yes—
72D13×#126C2214yes—
73D13×#126C2214yes—
74D13×#126C2214yes—
75#11719407C2214yescomplemented
76#11719407C2214yescomplemented
77#11719406C2214yescomplemented
78#11719404C2214yescomplemented
79#11719404C2214yescomplemented
80#11719403C2211yescharacteristic
81#11719402C2211yescharacteristic, complemented
82#11719401C2214yescomplemented
83#11719399C2214yescomplemented
84#11719398C2214yescomplemented
85#11719398C2214yescomplemented
86#11719397C2214yescomplemented
87#11719397C2214yescomplemented
88#11719396C2212yescomplemented
89#11719395C2212yescomplemented
90#11719395C2212yescomplemented
91#11719393C2212yescomplemented
92D13×#125C2214yes—
93D13×#125C2214yes—
94D13×#125C2211yescharacteristic
95D13×#125C2212yes—
96D13×#125C2214yes—
97D13×#125C2212yes—
98D13×#125C2211yescharacteristic
99#11719390C2214yescomplemented
100#11719390C2214yescomplemented
101#11719390C2212yescomplemented
102#11719390C2212yescomplemented
103#11719387C2212yescomplemented
104#11719387C2214yescomplemented
105#11719386C2214yescomplemented
106#11719386C2212yescomplemented
107#11719386C2212yescomplemented
108#11719385C2212yescomplemented
109D13×#124C2214yes—
110D13×#124C2214yes—
111D13×#124C2212yes—
112D13×#124C2212yes—
113#11719377C2214yescomplemented
114#11719376C2212yescomplemented
115#11719376C2212yescomplemented
116#11719374C2214yescomplemented
117#11719374C2214yescomplemented
118#11719374C2214yescomplemented
119#11719370C2214yescomplemented
120#11719370C2214yescomplemented
121#11719369C2214yescomplemented
122#11719369C2214yescomplemented
123#11719368C2214yes—
124#11719367C2214yescomplemented
125#11719367C2214yescomplemented
126#11719367C2214yescomplemented
127#11719365C2214yescomplemented
128#11719365C2214yescomplemented
129D13×#123C2214yes—
130D13×#123C2214yes—
131D13×#123C2214yes—
132D13×#123C2214yes—
133D13×#123C2214yes—
134#11719356C2214yescomplemented
135#11719356C2214yescomplemented
136#11719355C2214yescomplemented
137#11719355C2214yescomplemented
138#11719354C2214yescomplemented
139#11719351C2214yescomplemented
140#11719351C2214yescomplemented
141#11719351C2214yescomplemented
142#11719351C2214yescomplemented
143#11719350C2214yescomplemented
144#11719348C2214yescomplemented
145#11719348C2212yescomplemented
146#11719347C2214yescomplemented
147#11719346C2214yescomplemented
148#11719345C2214yescomplemented
149#11719345C2214yescomplemented
150#11719345C2214yescomplemented
151#11719344C2214yescomplemented
152#11719343C2214yescomplemented
153#11719343C2214yescomplemented
154#11719341C2214yescomplemented
155#11719341C2214yescomplemented
156#11719340C2214yescomplemented
157D13×C22⋊Q8C2214yes—
158D13×C22⋊Q8C2214yes—
159D13×C22⋊Q8C2214yes—
160D13×C22⋊Q8C2214yes—
161D13×C22⋊Q8C2212yes—
162D13×C22⋊Q8C2212yes—
163D13×C22⋊Q8C2214yes—
164D13×C22⋊Q8C2212yes—
165#11719330C2212yescomplemented
166#11719329C2212yescomplemented
167#11719327C2212yescomplemented
168#11719327C2212yescomplemented
169#11719324C2212yes—
170#11719320C2214yes—
171D13×#121C2212yes—
172D13×#121C2214yes—
173#11719308C2212yescomplemented
174#11719308C2214yescomplemented
175#11719307C2214yescomplemented
176#11719305C2212yescomplemented
177#11719290C2212yescomplemented
178#11719290C2212yescomplemented
179#11719289C2212yescomplemented
180#11719288C2212yescomplemented
181#11719287C2214yescomplemented
182#11719287C2212yescomplemented
183#11719286C2214yescomplemented
184#11719285C2212yescomplemented
185#11719284C2212yescomplemented
186#11719283C2212yescomplemented
187#11719283C2212yescomplemented
188C4×Q8×D13C2212yes—
189C4×Q8×D13C2214yes—
190C4×Q8×D13C2212yes—
191C4×Q8×D13C2212yes—
192C4×Q8×D13C2212yes—
193C4×Q8×D13C2212yes—
194#11719275C2212yescomplemented
195#11719274C2212yescomplemented
196#11719274C2212yescomplemented
197#11719273C2212yescomplemented
198#11719273C2212yescomplemented
199#11719272C2214yescomplemented
200#11719272C2212yescomplemented
201#11719269C2214yescomplemented
202#11719269C2214yescomplemented
203#11719267C2212yes—
204#11719266C2212yescomplemented
205#11719266C2214yescomplemented
206#11719264C2214yescomplemented
207#11719264C2212yescomplemented
208#11719264C2212yescomplemented
209#11719262C2212yescomplemented
210C4×D4×D13C2214yes—
211C4×D4×D13C2212yes—
212C4×D4×D13C2214yes—
213C4×D4×D13C2212yes—
214C4×D4×D13C2212yes—
215#11719248C2212yescomplemented
216#11719247C2212yescomplemented
217#11719246C2214yescomplemented
218#11719244C2212yescomplemented
219#11719244C2212yescomplemented
220#11719243C2214yescomplemented
221#11719240C2211yescharacteristic
222#11719239C2214yescomplemented
223#11719239C2212yescomplemented
224#11719238C2214yescomplemented
225#11719236C2214yescomplemented
226#11719236C2214yescomplemented
227#11719234C2214yescomplemented
228#11719233C2214yescomplemented
229D13×#117C2211yescharacteristic
230D13×#117C2211yescharacteristic
231D13×#117C2214yes—
232D13×#117C2214yes—
233#11719223C2211yescharacteristic, complemented
234#11719222C2211yescharacteristic, complemented
235#11719222C2211yescharacteristic, complemented
236#11719220C2214yescomplemented
237#11719218C2214yescomplemented
238#11719216C2214yescomplemented
239C2×C4⋊C4×D13C2214yes—
240#11719184C2212yescomplemented
241C2×C42×D13C2211yescharacteristic
242#11719175C2211yescharacteristic, complemented
243C2×Q8×D13C2312yes—
244C2×Q8×D13C2312yes—
245C2×Q8×D13C2314yes—
246C2×Q8×D13C2312yes—
247C2×D4×D13C2312yes—
248C2×D4×D13C2314yes—
249C2×D4×D13C2314yes—
250C22×C4×D13C2311yescharacteristic
251C22×C4×D13C2312yes—
252C22×C4×D13C2314yes—
253C22×C4×D13C2314yes—
254C22×C4×D13C2314yes—
255C13×C4⋊Q8C2312yes—
256C13×C4⋊Q8C2314yes—
257C13×C4⋊Q8C2312yes—
258C13×C4⋊Q8C2311yescharacteristic
259C13×#127C2311yescharacteristic
260C13×#126C2314yes—
261C13×#126C2314yes—
262C13×#126C2314yes—
263C13×#126C2314yes—
264C13×#126C2314yes—
265C13×#125C2312yes—
266C13×#125C2312yes—
267C13×#125C2314yes—
268C13×#125C2314yes—
269C13×#125C2311yescharacteristic
270C13×#125C2314yes—
271C13×#125C2311yescharacteristic
272C13×#124C2312yes—
273C13×#124C2314yes—
274C13×#124C2312yes—
275C13×#124C2314yes—
276C13×#123C2314yes—
277C13×#123C2314yes—
278C13×#123C2314yes—
279C13×#123C2314yes—
280C13×#123C2314yes—
281C13×C22⋊Q8C2312yes—
282C13×C22⋊Q8C2312yes—
283C13×C22⋊Q8C2312yes—
284C13×C22⋊Q8C2314yes—
285C13×C22⋊Q8C2314yes—
286C13×C22⋊Q8C2314yes—
287C13×C22⋊Q8C2314yes—
288C13×C22⋊Q8C2314yes—
289C13×#121C2312yes—
290C13×#121C2314yes—
291C4×Q8×C13C2312yes—
292C4×Q8×C13C2314yes—
293C4×Q8×C13C2312yes—
294C4×Q8×C13C2312yes—
295C4×Q8×C13C2312yes—
296C4×Q8×C13C2312yes—
297C4×D4×C13C2314yes—
298C4×D4×C13C2312yes—
299C4×D4×C13C2312yes—
300C4×D4×C13C2314yes—
301C4×D4×C13C2312yes—
302C13×#117C2311yescharacteristic
303C13×#117C2311yescharacteristic
304C13×#117C2314yes—
305C13×#117C2314yes—
306C2×C13×C4⋊C4C2314yes—
307C2×C42×C13C2311yescharacteristic
308#88201C2312yes—
309#88201C2312yes—
310#88201C2314yes—
311#88201C2314yes—
312#88200C2312yes—
313#88200C2312yes—
314#88200C2314yes—
315#88200C2314yes—
316#88200C2312yes—
317#88200C2314yes—
318#88200C2314yes—
319#88200C2314yes—
320Q8×Dic13C2312yes—
321Q8×Dic13C2314yes—
322Q8×Dic13C2312yes—
323Q8×Dic13C2312yes—
324Q8×Dic13C2312yes—
325Q8×Dic13C2312yes—
326#88198C2314yes—
327#88198C2314yes—
328#88198C2314yes—
329#88198C2312yes—
330#88198C2312yes—
331#88198C2312yes—
332#88194C2312yes—
333#88194C2314yes—
334#88193C2314yes—
335#88193C2314yes—
336#88193C2314yes—
337#88192C2312yes—
338#88192C2314yes—
339#88190C2312yes—
340#88190C2312yes—
341#88190C2314yes—
342#88190C2314yes—
343#88189C2314yes—
344#88189C2314yes—
345#88189C2314yes—
346#88189C2314yes—
347#88189C2314yes—
348D4×Dic13C2312yes—
349D4×Dic13C2312yes—
350D4×Dic13C2312yes—
351D4×Dic13C2314yes—
352D4×Dic13C2314yes—
353#88184C2312yes—
354#88184C2314yes—
355#88183C2314yes—
356#88183C2314yes—
357#88183C2314yes—
358#88183C2314yes—
359#88183C2314yes—
360C4×C22⋊D13C2314yes—
361C4×C22⋊D13C2314yes—
362C4×C22⋊D13C2314yes—
363C4×C22⋊D13C2314yes—
364C4×C22⋊D13C2314yes—
365C4×C22⋊D13C2314yes—
366C4×C22⋊D13C2314yes—
367#88180C2311yescharacteristic
368#88180C2311yescharacteristic
369#88180C2314yes—
370#88180C2314yes—
371C2×C4⋊Dic13C2314yes—
372#88178C2312yes—
373#88178C2312yes—
374#88178C2312yes—
375#88178C2314yes—
376#88178C2314yes—
377#88178C2314yes—
378#88178C2314yes—
379#88178C2314yes—
380C2×#6101C2314yes—
381C2×#6101C2314yes—
382C2×C4×Dic13C2311yescharacteristic
383C2×C4×Dic13C2312yes—
384#88152C2314yes—
385#88152C2314yes—
386#88152C2314yes—
387#88152C2314yes—
388#88152C2314yes—
389#88152C2314yes—
390#88152C2314yes—
391#88152C2314yes—
392#88152C2314yes—
393#88152C2314yes—
394#88152C2314yes—
395#88152C2314yes—
396#88152C2314yes—
397#88152C2314yes—
398#88152C2314yes—
399#88151C2312yes—
400#88151C2312yes—
401#88151C2314yes—
402#88151C2314yes—
403#88151C2312yes—
404#88151C2314yes—
405#88151C2314yes—
406#88151C2314yes—
407#88150C2314yes—
408#88150C2314yes—
409#88150C2314yes—
410#88150C2314yes—
411#88150C2314yes—
412#88150C2314yes—
413#88150C2312yes—
414#88150C2314yes—
415#88150C2314yes—
416#88150C2314yes—
417#88150C2312yes—
418#88150C2312yes—
419#88150C2314yes—
420#88150C2312yes—
421#88150C2314yes—
422#88149C2312yes—
423#88149C2314yes—
424#88148C2314yes—
425#88148C2314yes—
426#88148C2314yes—
427#88148C2314yes—
428#88148C2314yes—
429#88148C2314yes—
430#88148C2314yes—
431#88148C2314yes—
432#88148C2314yes—
433#88148C2314yes—
434#88147C2312yes—
435#88147C2312yes—
436#88147C2312yes—
437#88147C2314yes—
438#88147C2314yes—
439#88146C2312yes—
440#88146C2312yes—
441#88146C2314yes—
442#88146C2314yes—
443#88146C2314yes—
444#88146C2314yes—
445C4⋊C4×D13C2314yes—
446C4⋊C4×D13C2312yes—
447C4⋊C4×D13C2314yes—
448C4⋊C4×D13C2312yes—
449C4⋊C4×D13C2312yes—
450C4⋊C4×D13C2312yes—
451C4⋊C4×D13C2314yes—
452C4⋊C4×D13C2314yes—
453C4⋊C4×D13C2312yes—
454C4⋊C4×D13C2312yes—
455C4⋊C4×D13C2314yes—
456C4⋊C4×D13C2314yes—
457C4⋊C4×D13C2314yes—
458C4⋊C4×D13C2312yes—
459C4⋊C4×D13C2314yes—
460C4⋊C4×D13C2314yes—
461C4⋊C4×D13C2314yes—
462C4⋊C4×D13C2314yes—
463C4⋊C4×D13C2314yes—
464C4⋊C4×D13C2312yes—
465C4⋊C4×D13C2314yes—
466C4⋊C4×D13C2312yes—
467C4⋊C4×D13C2312yes—
468C4⋊C4×D13C2314yes—
469#88144C2312yes—
470#88144C2312yes—
471#88144C2314yes—
472#88144C2314yes—
473#88144C2312yes—
474#88144C2312yes—
475#88144C2312yes—
476#88144C2312yes—
477#88144C2314yes—
478#88144C2314yes—
479#88144C2314yes—
480#88144C2314yes—
481#88143C2314yes—
482#88143C2314yes—
483#88143C2314yes—
484#88143C2314yes—
485#88143C2314yes—
486#88143C2314yes—
487#88143C2314yes—
488#88143C2314yes—
489#88143C2314yes—
490#88143C2314yes—
491#88143C2314yes—
492#88143C2314yes—
493#88143C2314yes—
494#88143C2312yes—
495#88143C2314yes—
496#88143C2312yes—
497#88143C2314yes—
498#88143C2312yes—
499#88143C2314yes—
500#88143C2312yes—
501#88142C2314yes—
502#88142C2312yes—
503#88142C2312yes—
504#88142C2314yes—
505#88142C2312yes—
506#88142C2312yes—
507#88142C2314yes—
508#88142C2314yes—
509#88142C2314yes—
510#88142C2312yes—
511#88142C2312yes—
512#88142C2314yes—
513#88141C2312yes—
514#88141C2312yes—
515#88141C2314yes—
516#88141C2314yes—
517#88141C2312yes—
518#88141C2312yes—
519#88141C2312yes—
520#88141C2314yes—
521#88141C2312yes—
522#88141C2314yes—
523#88141C2312yes—
524#88141C2312yes—
525#88141C2312yes—
526#88141C2314yes—
527#88141C2314yes—
528#88140C2314yes—
529#88140C2314yes—
530#88140C2314yes—
531#88140C2314yes—
532#88140C2314yes—
533#88139C2314yes—
534#88139C2314yes—
535#88139C2314yes—
536#88139C2314yes—
537#88139C2314yes—
538#88139C2314yes—
539#88139C2314yes—
540#88139C2314yes—
541#88139C2314yes—
542#88139C2314yes—
543#88139C2314yes—
544#88139C2314yes—
545#88138C2314yes—
546#88138C2314yes—
547#88138C2314yes—
548#88137C2314yes—
549#88137C2314yes—
550#88137C2314yes—
551#88137C2314yes—
552#88137C2314yes—
553#88137C2314yes—
554#88137C2314yes—
555#88137C2314yes—
556#88137C2314yes—
557#88137C2314yes—
558#88135C2314yes—
559#88135C2314yes—
560#88135C2314yes—
561#88135C2314yes—
562#88135C2314yes—
563#88135C2314yes—
564#88135C2314yes—
565C22⋊C4×D13C2314yes—
566C22⋊C4×D13C2312yes—
567C22⋊C4×D13C2314yes—
568C22⋊C4×D13C2311yescharacteristic
569C22⋊C4×D13C2311yescharacteristic
570C22⋊C4×D13C2314yes—
571C22⋊C4×D13C2314yes—
572C22⋊C4×D13C2314yes—
573C22⋊C4×D13C2314yes—
574C22⋊C4×D13C2314yes—
575C22⋊C4×D13C2314yes—
576C22⋊C4×D13C2314yes—
577#88133C2314yes—
578#88133C2314yes—
579#88133C2314yes—
580#88133C2314yes—
581#88133C2314yes—
582#88133C2314yes—
583#88133C2314yes—
584#88133C2314yes—
585#88133C2314yes—
586#88133C2314yes—
587#88133C2314yes—
588#88133C2314yes—
589#88133C2314yes—
590#88133C2314yes—
591#88133C2314yes—
592#88132C2312yes—
593#88132C2312yes—
594#88132C2312yes—
595#88132C2312yes—
596#88132C2314yes—
597#88132C2314yes—
598#88132C2314yes—
599#88132C2314yes—
600#88132C2314yes—
601#88132C2314yes—
602#88132C2314yes—
603#88132C2314yes—
604#88132C2314yes—
605#88132C2314yes—
606#88132C2314yes—
607#88131C2314yes—
608#88131C2314yes—
609#88131C2314yes—
610#88131C2312yes—
611#88131C2311yescharacteristic
612#88131C2311yescharacteristic
613#88131C2314yes—
614#88130C2314yes—
615#88130C2314yes—
616#88130C2314yes—
617#88130C2314yes—
618#88130C2314yes—
619#88129C2312yes—
620#88129C2314yes—
621#88129C2312yes—
622#88129C2314yes—
623#88128C2311yescharacteristic
624C4×D52C2312yes—
625C4×D52C2312yes—
626C4×D52C2312yes—
627C4×D52C2314yes—
628C4×D52C2314yes—
629#88126C2311yescharacteristic
630#88126C2311yescharacteristic
631#88126C2312yes—
632#88126C2314yes—
633#88126C2314yes—
634#88126C2314yes—
635#88126C2314yes—
636C42×D13C2311yescharacteristic
637C42×D13C2311yescharacteristic
638C42×D13C2312yes—
639C42×D13C2314yes—
640C42×D13C2311yescharacteristic
641C42×D13C2311yescharacteristic
642C42×D13C2311yescharacteristic
643C42×D13C2312yes—
644C42×D13C2312yes—
645C42×D13C2314yes—
646C42×D13C2311yescharacteristic
647C42×D13C2314yes—
648#88124C2311yescharacteristic
649#88124C2312yes—
650#88124C2311yescharacteristic
651#88124C2312yes—
652#88124C2314yes—
653#88124C2314yes—
654#88124C2314yes—
655#88123C2312yes—
656#88123C2311yescharacteristic
657#88123C2312yes—
658#88123C2314yes—
659C4×Dic26C2312yes—
660C4×Dic26C2314yes—
661C4×Dic26C2314yes—
662C4×Dic26C2312yes—
663C4×Dic26C2312yes—
664C4×Dic26C2312yes—
665C4×Dic26C2312yes—
666C4×Dic26C2312yes—
667C4×Dic26C2312yes—
668C4×Dic26C2312yes—
669C4×Dic26C2312yes—
670C4×Dic26C2314yes—
671C4×Dic26C2314yes—
672C4×Dic26C2314yes—
673C4×Dic26C2314yes—
674C2×#3557—131nomaximal, Sylow
675C23×D13C2411yescharacteristic
676C23×D13C2414yes—
677C2×Q8×C13C2412yes—
678C2×Q8×C13C2412yes—
679C2×Q8×C13C2414yes—
680C2×Q8×C13C2412yes—
681C2×D4×C13C2412yes—
682C2×D4×C13C2414yes—
683C2×D4×C13C2414yes—
684C22×C4×C13C2411yescharacteristic
685C22×C4×C13C2412yes—
686C22×C4×C13C2414yes—
687C22×C4×C13C2414yes—
688C22×C4×C13C2414yes—
689C2×C22⋊D13C2414yes—
690C2×C22⋊D13C2414yes—
691C2×C22⋊D13C2414yes—
692C2×C22⋊D13C2414yes—
693C2×C22⋊D13C2414yes—
694C22×Dic13C2411yescharacteristic
695C22×Dic13C2414yes—
696C22×Dic13C2414yes—
697C22×Dic13C2412yes—
698C22×Dic13C2414yes—
699Q8×D13—28no—
700Q8×D13—44no—
701Q8×D13—48no—
702Q8×D13—44no—
703D4×D13—28no—
704D4×D13—48no—
705D4×D13—48no—
706C2×D52C2412yes—
707C2×D52C2414yes—
708C2×D52C2414yes—
709C2×C4×D13—24no—
710C2×C4×D13—48no—
711C2×C4×D13—44no—
712C2×C4×D13—48no—
713C2×C4×D13—48no—
714C2×C4×D13C2412yes—
715C2×C4×D13C2414yes—
716C2×C4×D13C2412yes—
717C2×C4×D13C2412yes—
718C2×C4×D13C2411yescharacteristic
719C2×C4×D13C2411yescharacteristic
720C2×C4×D13C2412yes—
721C2×C4×D13C2414yes—
722C2×C4×D13C2411yescharacteristic
723C2×C4×D13C2412yes—
724C2×C4×D13C2412yes—
725C2×C4×D13C2414yes—
726C2×C4×D13C2412yes—
727C2×C4×D13C2412yes—
728C2×C4×D13C2414yes—
729C2×C4×D13C2414yes—
730C2×C4×D13C2414yes—
731C2×C4×D13C2414yes—
732C2×C4×D13C2414yes—
733C2×C4×D13C2414yes—
734C2×C4×D13C2411yescharacteristic
735C2×Dic26C2412yes—
736C2×Dic26C2414yes—
737C2×Dic26C2414yes—
738C2×Dic26C2412yes—
739C2×Dic26C2412yes—
740C2×Dic26C2412yes—
741C2×Dic26C2412yes—
742C2×Dic26C2414yes—
743C2×Dic26C2412yes—
744C2×Dic26C2412yes—
745C2×Dic26C2414yes—
746C13×C4⋊C4C2412yes—
747C13×C4⋊C4C2412yes—
748C13×C4⋊C4C2414yes—
749C13×C4⋊C4C2412yes—
750C13×C4⋊C4C2414yes—
751C13×C4⋊C4C2412yes—
752C13×C4⋊C4C2414yes—
753C13×C4⋊C4C2412yes—
754C13×C4⋊C4C2412yes—
755C13×C4⋊C4C2414yes—
756C13×C4⋊C4C2412yes—
757C13×C4⋊C4C2412yes—
758C13×C4⋊C4C2414yes—
759C13×C4⋊C4C2412yes—
760C13×C4⋊C4C2414yes—
761C13×C4⋊C4C2414yes—
762C13×C4⋊C4C2414yes—
763C13×C4⋊C4C2412yes—
764C13×C4⋊C4C2414yes—
765C13×C4⋊C4C2414yes—
766C13×C22⋊C4C2414yes—
767C13×C22⋊C4C2412yes—
768C13×C22⋊C4C2411yescharacteristic
769C13×C22⋊C4C2411yescharacteristic
770C13×C22⋊C4C2414yes—
771C13×C22⋊C4C2414yes—
772C13×C22⋊C4C2414yes—
773C13×C22⋊C4C2414yes—
774C13×C22⋊C4C2414yes—
775C13×C22⋊C4C2414yes—
776C13×C22⋊C4C2414yes—
777C13×C22⋊C4C2414yes—
778C42×C13C2411yescharacteristic
779C42×C13C2412yes—
780C42×C13C2412yes—
781C42×C13C2411yescharacteristic
782C42×C13C2414yes—
783C42×C13C2414yes—
784C42×C13C2414yes—
785C42×C13C2411yescharacteristic
786C42×C13C2411yescharacteristic
787C22⋊Dic13C2414yes—
788C22⋊Dic13C2412yes—
789C22⋊Dic13C2411yescharacteristic
790C22⋊Dic13C2411yescharacteristic
791C22⋊Dic13C2414yes—
792C22⋊Dic13C2414yes—
793C22⋊Dic13C2414yes—
794C22⋊Dic13C2414yes—
795C22⋊Dic13C2414yes—
796C22⋊Dic13C2414yes—
797C22⋊Dic13C2414yes—
798C22⋊Dic13C2414yes—
799#6103C2414yes—
800#6103C2414yes—
801#6103C2414yes—
802#6103C2412yes—
803#6103C2414yes—
804#6103C2412yes—
805#6103C2414yes—
806#6103C2414yes—
807#6103C2412yes—
808#6103C2412yes—
809#6103C2414yes—
810#6103C2414yes—
811#6103C2414yes—
812#6103C2414yes—
813#6103C2414yes—
814#6103C2414yes—
815#6103C2414yes—
816#6103C2414yes—
817#6103C2414yes—
818#6103C2414yes—
819#6103C2414yes—
820#6103C2414yes—
821C4⋊Dic13C2412yes—
822C4⋊Dic13C2412yes—
823C4⋊Dic13C2412yes—
824C4⋊Dic13C2414yes—
825C4⋊Dic13C2414yes—
826C4⋊Dic13C2412yes—
827C4⋊Dic13C2412yes—
828C4⋊Dic13C2414yes—
829C4⋊Dic13C2414yes—
830C4⋊Dic13C2412yes—
831C4⋊Dic13C2412yes—
832C4⋊Dic13C2412yes—
833C4⋊Dic13C2414yes—
834C4⋊Dic13C2412yes—
835C4⋊Dic13C2412yes—
836C4⋊Dic13C2414yes—
837C4⋊Dic13C2414yes—
838C4⋊Dic13C2414yes—
839C4⋊Dic13C2414yes—
840C4⋊Dic13C2414yes—
841#6101C2412yes—
842#6101C2412yes—
843#6101C2414yes—
844#6101C2412yes—
845#6101C2414yes—
846#6101C2412yes—
847#6101C2414yes—
848#6101C2412yes—
849#6101C2412yes—
850#6101C2414yes—
851#6101C2414yes—
852#6101C2412yes—
853#6101C2414yes—
854#6101C2412yes—
855#6101C2414yes—
856#6101C2414yes—
857#6101C2414yes—
858#6101C2412yes—
859#6101C2412yes—
860#6101C2414yes—
861#6101C2414yes—
862#6101C2412yes—
863#6101C2412yes—
864#6101C2414yes—
865#6101C2412yes—
866#6101C2414yes—
867#6101C2414yes—
868#6101C2414yes—
869#6101C2414yes—
870#6101C2414yes—
871#6101C2414yes—
872#6101C2414yes—
873#6101C2412yes—
874#6101C2414yes—
875#6101C2414yes—
876#6101C2412yes—
877#6101C2412yes—
878#6101C2414yes—
879C4×Dic13C2412yes—
880C4×Dic13C2411yescharacteristic
881C4×Dic13C2412yes—
882C4×Dic13C2411yescharacteristic
883C4×Dic13C2412yes—
884C4×Dic13C2414yes—
885C4×Dic13C2414yes—
886C4×Dic13C2414yes—
887C4×Dic13C2414yes—
888C4×Dic13C2412yes—
889C4×Dic13C2412yes—
890C4×Dic13C2414yes—
891C4×Dic13C2414yes—
892C4×Dic13C2412yes—
893C4×Dic13C2411yescharacteristic
894C4×Dic13C2411yescharacteristic
895C4×Dic13C2412yes—
896C4×Dic13C2412yes—
897C4×Dic13C2414yes—
898C4×Dic13C2414yes—
899C4×Dic13C2412yes—
900C4×Dic13C2412yes—
901C4×Dic13C2414yes—
902#3557—134no—
903#3557—132no—
904#3557—132no—
905#3557—132no—
906#3557—132no—
907#3557—134no—
908#3557—134no—
909#3557—132no—
910#3557—131no—
911#3557—131no—
912#3557—134no—
913#3557—131no—
914#3557—132no—
915#3557D1311yescharacteristic, direct product factor
916C2×#563—134no—
917C2×#559—132no—
918C2×#557—132no—
919C2×#556—132no—
920C2×#554—132no—
921C2×#552—134no—
922C2×#542—132no—
923C2×#542—134no—
924C2×#541—131no—
925C2×#540—131no—
926C2×#539—134no—
927C2×#533—131no—
928C2×#529—132no—
929C23×C13C2511yescharacteristic
930C23×C13C2514yes—
931C22×D13—22no—
932C22×D13—28no—
933C22×D13—28no—
934C22×D13—24no—
935C22×D13—28no—
936C22×D13C2511yescharacteristic
937C22×D13C2514yes—
938C22×D13C2511yescharacteristic
939Q8×C13—24no—
940Q8×C13—42no—
941Q8×C13—44no—
942Q8×C13—42no—
943D4×C13—24no—
944D4×C13—44no—
945D4×C13—44no—
946C2×C4×C13—22no—
947C2×C4×C13—42no—
948C2×C4×C13—44no—
949C2×C4×C13—44no—
950C2×C4×C13—44no—
951C2×C4×C13C2512yes—
952C2×C4×C13C2512yes—
953C2×C4×C13C2514yes—
954C2×C4×C13C2512yes—
955C2×C4×C13C2514yes—
956C2×C4×C13C2511yescharacteristic
957C2×C4×C13C2512yes—
958C2×C4×C13C2512yes—
959C2×C4×C13C2512yes—
960C2×C4×C13C2514yes—
961C2×C4×C13C2511yescharacteristic
962C22⋊D13—28no—
963C22⋊D13—44no—
964C22⋊D13—44no—
965C22⋊D13—44no—
966C22⋊D13—44no—
967C2×Dic13—22no—
968C2×Dic13—42no—
969C2×Dic13—44no—
970C2×Dic13—44no—
971C2×Dic13—44no—
972C2×Dic13C2512yes—
973C2×Dic13C2512yes—
974C2×Dic13C2514yes—
975C2×Dic13C2512yes—
976C2×Dic13C2511yescharacteristic
977C2×Dic13C2514yes—
978C2×Dic13C2512yes—
979C2×Dic13C2512yes—
980C2×Dic13C2512yes—
981C2×Dic13C2514yes—
982C2×Dic13C2511yescharacteristic
983D52—24no—
984D52—44no—
985D52—44no—
986C4×D13—22no—
987C4×D13—28no—
988C4×D13—24no—
989C4×D13—28no—
990C4×D13—24no—
991C4×D13—24no—
992C4×D13—28no—
993C4×D13—24no—
994C4×D13—24no—
995C4×D13—24no—
996C4×D13—22no—
997C4×D13—22no—
998C4×D13—42no—
999C4×D13—44no—
1000C4×D13—44no—
1001C4×D13—44no—
1002C4×D13—44no—
1003C4×D13—44no—
1004C4×D13—42no—
1005C4×D13—44no—
1006C4×D132−1+414yes—
1007Dic26—24no—
1008Dic26—28no—
1009Dic26—42no—
1010Dic26—44no—
1011Dic26—44no—
1012Dic26—42no—
1013Dic26—42no—
1014Dic26—42no—
1015Dic26—42no—
1016Dic26—42no—
1017Dic26—44no—
1018#563—134no—
1019#563—134no—
1020#563—134no—
1021#563—134no—
1022#563—134no—
1023#563—134no—
1024#563—134no—
1025#563—134no—
1026#563—134no—
1027#563—134no—
1028#563—134no—
1029#563—134no—
1030#563—134no—
1031#563—134no—
1032#563—134no—
1033#563C2×D1314yescomplemented
1034#559—132no—
1035#559—132no—
1036#559—134no—
1037#559—132no—
1038#559—134no—
1039#559—134no—
1040#559—132no—
1041#559—132no—
1042#559—134no—
1043#559—132no—
1044#559—132no—
1045#559C2×D1312yescomplemented
1046#557—134no—
1047#557—132no—
1048#557—134no—
1049#557—132no—
1050#557—134no—
1051#557—132no—
1052#557—134no—
1053#557—132no—
1054#557—132no—
1055#557—132no—
1056#557—132no—
1057#557C2×D1312yescomplemented
1058#556—132no—
1059#556—134no—
1060#556—134no—
1061#556—132no—
1062#556—132no—
1063#556—134no—
1064#556—132no—
1065#556—132no—
1066#556—132no—
1067#556—132no—
1068#556—134no—
1069#556C2×D1312yescomplemented
1070#554—132no—
1071#554—132no—
1072#554—132no—
1073#554—134no—
1074#554—134no—
1075#554—134no—
1076#554—132no—
1077#554—132no—
1078#554—132no—
1079#554—132no—
1080#554—134no—
1081#554C2×D1312yescomplemented
1082#552—134no—
1083#552—134no—
1084#552—134no—
1085#552—134no—
1086#552—134no—
1087#552—134no—
1088#552—134no—
1089#552—134no—
1090#552—134no—
1091#552—134no—
1092#552—134no—
1093#552—134no—
1094#552—134no—
1095#552—134no—
1096#552—134no—
1097#552C2×D1314yescomplemented
1098#542—132no—
1099#542—134no—
1100#542—134no—
1101#542—134no—
1102#542—134no—
1103#542—134no—
1104#542—134no—
1105#542—134no—
1106#542—132no—
1107#542—134no—
1108#542—134no—
1109#542—134no—
1110#542—134no—
1111#542—134no—
1112#542—134no—
1113#542—134no—
1114#542—132no—
1115#542—134no—
1116#542—132no—
1117#542—134no—
1118#542—132no—
1119#542—134no—
1120#542—132no—
1121#542—134no—
1122#542—132no—
1123#542—134no—
1124#542C2×D1312yescomplemented
1125#542C2×D1314yescomplemented
1126#541—131no—
1127#541—134no—
1128#541—134no—
1129#541—131no—
1130#541—132no—
1131#541—132no—
1132#541—131no—
1133#541C2×D1311yescharacteristic, complemented
1134#540—131no—
1135#540—131no—
1136#540—134no—
1137#540—134no—
1138#540—132no—
1139#540—132no—
1140#540—131no—
1141#540C2×D1311yescharacteristic
1142#539—134no—
1143#539—134no—
1144#539—134no—
1145#539—134no—
1146#539—134no—
1147#539—134no—
1148#539—134no—
1149#539—134no—
1150#539—134no—
1151#539—134no—
1152#539—134no—
1153#539—134no—
1154#539—134no—
1155#539—134no—
1156#539—134no—
1157#539C2×D1314yescomplemented
1158#533—132no—
1159#533—132no—
1160#533—132no—
1161#533—132no—
1162#533—132no—
1163#533—132no—
1164#533—131no—
1165#533—131no—
1166#533—131no—
1167#533C2×D1311yescharacteristic, complemented
1168C2×C4⋊Q8—132no—
1169C2×C4⋊Q8—131no—
1170C2×C4⋊Q8—132no—
1171C2×C4⋊Q8—134no—
1172C2×#127—131no—
1173#529—134no—
1174#529—132no—
1175#529—132no—
1176#529—134no—
1177#529—132no—
1178#529—132no—
1179#529—132no—
1180#529—134no—
1181#529—132no—
1182#529—134no—
1183#529—132no—
1184#529C2×D1312yescomplemented
1185C2×#126—134no—
1186C2×#126—134no—
1187C2×#126—134no—
1188C2×#126—134no—
1189C2×#126—134no—
1190C2×#125—132no—
1191C2×#125—132no—
1192C2×#125—134no—
1193C2×#125—134no—
1194C2×#125—131no—
1195C2×#125—134no—
1196C2×#125—131no—
1197C2×#124—132no—
1198C2×#124—134no—
1199C2×#124—132no—
1200C2×#124—134no—
1201C2×#123—134no—
1202C2×#123—134no—
1203C2×#123—134no—
1204C2×#123—134no—
1205C2×#123—134no—
1206C2×C22⋊Q8—132no—
1207C2×C22⋊Q8—132no—
1208C2×C22⋊Q8—132no—
1209C2×C22⋊Q8—134no—
1210C2×C22⋊Q8—134no—
1211C2×C22⋊Q8—134no—
1212C2×C22⋊Q8—134no—
1213C2×C22⋊Q8—134no—
1214C2×#121—132no—
1215C2×#121—134no—
1216C2×C4×Q8—132no—
1217C2×C4×Q8—132no—
1218C2×C4×Q8—132no—
1219C2×C4×Q8—132no—
1220C2×C4×Q8—134no—
1221C2×C4×Q8—132no—
1222C2×C4×D4—134no—
1223C2×C4×D4—132no—
1224C2×C4×D4—134no—
1225C2×C4×D4—132no—
1226C2×C4×D4—132no—
1227C2×#117—134no—
1228C2×#117—131no—
1229C2×#117—131no—
1230C2×#117—134no—
1231C22×C4⋊C4—134no—
1232C22×C42—131no—
1233C22×C13—21no—
1234C22×C13—24no—
1235C22×C13—24no—
1236C22×C13—22no—
1237C22×C13—24no—
1238C22×C13C2611yescharacteristic
1239C2×D13—21no—
1240C2×D13—24no—
1241C2×D13—24no—
1242C2×D13—22no—
1243C2×D13—24no—
1244C2×D13—44no—
1245C2×D13—416no—
1246C2×D13C2×2−1+412yes—
1247C2×D13#58514yes—
1248C4×C13—24no—
1249C4×C13—21no—
1250C4×C13—22no—
1251C4×C13—22no—
1252C4×C13—24no—
1253C4×C13—22no—
1254C4×C13—22no—
1255C4×C13—24no—
1256C4×C13—22no—
1257C4×C13—22no—
1258C4×C13C2×2−1+412yes—
1259Dic13—24no—
1260Dic13—21no—
1261Dic13—22no—
1262Dic13—22no—
1263Dic13—24no—
1264Dic13—22no—
1265Dic13—22no—
1266Dic13—24no—
1267Dic13—22no—
1268Dic13—22no—
1269Dic13C2×2−1+412yes—
1270C22×Q8—132no—
1271C22×Q8—132no—
1272C22×Q8—134no—
1273C22×Q8—132no—
1274C22×D4—132no—
1275C22×D4—134no—
1276C22×D4—134no—
1277C23×C4—131no—
1278C23×C4—134no—
1279C23×C4—134no—
1280C23×C4—134no—
1281C23×C4—132no—
1282C4⋊Q8—132no—
1283C4⋊Q8—132no—
1284C4⋊Q8—132no—
1285C4⋊Q8—134no—
1286C4⋊Q8—134no—
1287C4⋊Q8—134no—
1288C4⋊Q8—132no—
1289C4⋊Q8—132no—
1290C4⋊Q8—132no—
1291C4⋊Q8—132no—
1292C4⋊Q8—134no—
1293C4⋊Q8—132no—
1294C4⋊Q8—132no—
1295C4⋊Q8—134no—
1296C4⋊Q8—134no—
1297C4⋊Q8—134no—
1298C4⋊Q8—134no—
1299C4⋊Q8—134no—
1300C4⋊Q8—132no—
1301C4⋊Q8—131no—
1302C4⋊Q8—132no—
1303C4⋊Q8—134no—
1304C4⋊Q8C22×D1312yes—
1305C4⋊Q8C22×D1311yescharacteristic
1306C4⋊Q8C22×D1312yes—
1307C4⋊Q8C22×D1314yes—
1308#127—134no—
1309#127—132no—
1310#127—131no—
1311#127C22×D1311yescharacteristic
1312#126—134no—
1313#126—134no—
1314#126—134no—
1315#126—134no—
1316#126—134no—
1317#126—134no—
1318#126—134no—
1319#126—134no—
1320#126—134no—
1321#126—134no—
1322#126—134no—
1323#126—134no—
1324#126—134no—
1325#126—134no—
1326#126—134no—
1327#126—134no—
1328#126—134no—
1329#126—134no—
1330#126—134no—
1331#126—134no—
1332#126—134no—
1333#126—134no—
1334#126—134no—
1335#126—134no—
1336#126—134no—
1337#126—134no—
1338#126—134no—
1339#126—134no—
1340#126—134no—
1341#126—134no—
1342#126—134no—
1343#126—134no—
1344#126—134no—
1345#126—134no—
1346#126—134no—
1347#126C22×D1314yes—
1348#126C22×D1314yes—
1349#126C22×D1314yes—
1350#126C22×D1314yes—
1351#126C22×D1314yes—
1352#125—134no—
1353#125—134no—
1354#125—132no—
1355#125—132no—
1356#125—132no—
1357#125—132no—
1358#125—132no—
1359#125—132no—
1360#125—132no—
1361#125—132no—
1362#125—134no—
1363#125—134no—
1364#125—134no—
1365#125—134no—
1366#125—134no—
1367#125—134no—
1368#125—134no—
1369#125—134no—
1370#125—134no—
1371#125—134no—
1372#125—134no—
1373#125—134no—
1374#125—134no—
1375#125—132no—
1376#125—134no—
1377#125—134no—
1378#125—134no—
1379#125—134no—
1380#125—134no—
1381#125—134no—
1382#125—134no—
1383#125—132no—
1384#125—132no—
1385#125—132no—
1386#125—134no—
1387#125—134no—
1388#125—131no—
1389#125—134no—
1390#125—131no—
1391#125C22×D1312yes—
1392#125C22×D1312yes—
1393#125C22×D1314yes—
1394#125C22×D1314yes—
1395#125C22×D1311yescharacteristic
1396#125C22×D1314yes—
1397#125C22×D1311yescharacteristic
1398#124—132no—
1399#124—134no—
1400#124—132no—
1401#124—134no—
1402#124—132no—
1403#124—134no—
1404#124—132no—
1405#124—134no—
1406#124—134no—
1407#124—134no—
1408#124—134no—
1409#124—134no—
1410#124—134no—
1411#124—134no—
1412#124—134no—
1413#124—134no—
1414#124—134no—
1415#124—134no—
1416#124—134no—
1417#124—134no—
1418#124—132no—
1419#124—134no—
1420#124—132no—
1421#124—134no—
1422#124C22×D1312yes—
1423#124C22×D1314yes—
1424#124C22×D1312yes—
1425#124C22×D1314yes—
1426#123—134no—
1427#123—134no—
1428#123—134no—
1429#123—134no—
1430#123—134no—
1431#123—134no—
1432#123—134no—
1433#123—134no—
1434#123—134no—
1435#123—134no—
1436#123—134no—
1437#123—134no—
1438#123—134no—
1439#123—134no—
1440#123—134no—
1441#123—134no—
1442#123—134no—
1443#123—134no—
1444#123—134no—
1445#123—134no—
1446#123—134no—
1447#123—134no—
1448#123—134no—
1449#123—134no—
1450#123—134no—
1451#123—134no—
1452#123—134no—
1453#123—134no—
1454#123—134no—
1455#123—134no—
1456#123—134no—
1457#123—134no—
1458#123—134no—
1459#123—134no—
1460#123—134no—
1461#123C22×D1314yes—
1462#123C22×D1314yes—
1463#123C22×D1314yes—
1464#123C22×D1314yes—
1465#123C22×D1314yes—
1466C22⋊Q8—132no—
1467C22⋊Q8—132no—
1468C22⋊Q8—132no—
1469C22⋊Q8—134no—
1470C22⋊Q8—134no—
1471C22⋊Q8—134no—
1472C22⋊Q8—134no—
1473C22⋊Q8—134no—
1474C22⋊Q8—132no—
1475C22⋊Q8—132no—
1476C22⋊Q8—132no—
1477C22⋊Q8—134no—
1478C22⋊Q8—134no—
1479C22⋊Q8—134no—
1480C22⋊Q8—134no—
1481C22⋊Q8—134no—
1482C22⋊Q8—134no—
1483C22⋊Q8—132no—
1484C22⋊Q8—132no—
1485C22⋊Q8—132no—
1486C22⋊Q8—132no—
1487C22⋊Q8—132no—
1488C22⋊Q8—132no—
1489C22⋊Q8—132no—
1490C22⋊Q8—134no—
1491C22⋊Q8—134no—
1492C22⋊Q8—134no—
1493C22⋊Q8—134no—
1494C22⋊Q8—134no—
1495C22⋊Q8—134no—
1496C22⋊Q8—134no—
1497C22⋊Q8—134no—
1498C22⋊Q8—134no—
1499C22⋊Q8—134no—
1500C22⋊Q8—134no—
1501C22⋊Q8—134no—
1502C22⋊Q8—134no—
1503C22⋊Q8—134no—
1504C22⋊Q8—134no—
1505C22⋊Q8—134no—
1506C22⋊Q8—132no—
1507C22⋊Q8—132no—
1508C22⋊Q8—132no—
1509C22⋊Q8—132no—
1510C22⋊Q8—134no—
1511C22⋊Q8—134no—
1512C22⋊Q8—134no—
1513C22⋊Q8—134no—
1514C22⋊Q8—134no—
1515C22⋊Q8—134no—
1516C22⋊Q8—134no—
1517C22⋊Q8—134no—
1518C22⋊Q8—134no—
1519C22⋊Q8—134no—
1520C22⋊Q8C22×D1312yes—
1521C22⋊Q8C22×D1312yes—
1522C22⋊Q8C22×D1312yes—
1523C22⋊Q8C22×D1314yes—
1524C22⋊Q8C22×D1314yes—
1525C22⋊Q8C22×D1314yes—
1526C22⋊Q8C22×D1314yes—
1527C22⋊Q8C22×D1314yes—
1528#121—132no—
1529#121—134no—
1530#121—134no—
1531#121—134no—
1532#121—134no—
1533#121—132no—
1534#121—134no—
1535#121—132no—
1536#121—134no—
1537#121—134no—
1538#121—134no—
1539#121—134no—
1540#121C22×D1312yes—
1541#121C22×D1314yes—
1542C4×Q8—132no—
1543C4×Q8—132no—
1544C4×Q8—132no—
1545C4×Q8—132no—
1546C4×Q8—134no—
1547C4×Q8—132no—
1548C4×Q8—134no—
1549C4×Q8—132no—
1550C4×Q8—132no—
1551C4×Q8—132no—
1552C4×Q8—132no—
1553C4×Q8—132no—
1554C4×Q8—132no—
1555C4×Q8—132no—
1556C4×Q8—134no—
1557C4×Q8—132no—
1558C4×Q8—134no—
1559C4×Q8—134no—
1560C4×Q8—134no—
1561C4×Q8—134no—
1562C4×Q8—132no—
1563C4×Q8—134no—
1564C4×Q8—132no—
1565C4×Q8—132no—
1566C4×Q8—132no—
1567C4×Q8—132no—
1568C4×Q8—132no—
1569C4×Q8—132no—
1570C4×Q8—132no—
1571C4×Q8—134no—
1572C4×Q8—132no—
1573C4×Q8—134no—
1574C4×Q8—134no—
1575C4×Q8—134no—
1576C4×Q8—134no—
1577C4×Q8—132no—
1578C4×Q8C22×D1312yes—
1579C4×Q8C22×D1312yes—
1580C4×Q8C22×D1312yes—
1581C4×Q8C22×D1312yes—
1582C4×Q8C22×D1314yes—
1583C4×Q8C22×D1312yes—
1584C4×D4—134no—
1585C4×D4—132no—
1586C4×D4—134no—
1587C4×D4—132no—
1588C4×D4—132no—
1589C4×D4—134no—
1590C4×D4—134no—
1591C4×D4—134no—
1592C4×D4—134no—
1593C4×D4—134no—
1594C4×D4—134no—
1595C4×D4—134no—
1596C4×D4—134no—
1597C4×D4—132no—
1598C4×D4—134no—
1599C4×D4—132no—
1600C4×D4—132no—
1601C4×D4—134no—
1602C4×D4—134no—
1603C4×D4—134no—
1604C4×D4—134no—
1605C4×D4—134no—
1606C4×D4—134no—
1607C4×D4—134no—
1608C4×D4—134no—
1609C4×D4—132no—
1610C4×D4—134no—
1611C4×D4—132no—
1612C4×D4—132no—
1613C4×D4C22×D1314yes—
1614C4×D4C22×D1312yes—
1615C4×D4C22×D1314yes—
1616C4×D4C22×D1312yes—
1617C4×D4C22×D1312yes—
1618#117—134no—
1619#117—131no—
1620#117—131no—
1621#117—134no—
1622#117—134no—
1623#117—134no—
1624#117—132no—
1625#117—132no—
1626#117—134no—
1627#117—134no—
1628#117—134no—
1629#117—134no—
1630#117—132no—
1631#117—131no—
1632#117—131no—
1633#117—134no—
1634#117—134no—
1635#117—134no—
1636#117—134no—
1637#117—131no—
1638#117—131no—
1639#117—132no—
1640#117—134no—
1641#117—134no—
1642#117C22×D1314yes—
1643#117C22×D1311yescharacteristic
1644#117C22×D1311yescharacteristic
1645#117C22×D1314yes—
1646C2×C4⋊C4—134no—
1647C2×C4⋊C4—134no—
1648C2×C4⋊C4—134no—
1649C2×C4⋊C4—132no—
1650C2×C4⋊C4—134no—
1651C2×C4⋊C4—134no—
1652C2×C4⋊C4—134no—
1653C2×C4⋊C4—134no—
1654C2×C4⋊C4—134no—
1655C2×C4⋊C4—134no—
1656C2×C4⋊C4—134no—
1657C2×C4⋊C4—132no—
1658C2×C4⋊C4—134no—
1659C2×C4⋊C4—132no—
1660C2×C4⋊C4—134no—
1661C2×C4⋊C4—132no—
1662C2×C4⋊C4—132no—
1663C2×C4⋊C4—132no—
1664C2×C4⋊C4—132no—
1665C2×C4⋊C4—134no—
1666C2×C4⋊C4—132no—
1667C2×C4⋊C4—134no—
1668C2×C4⋊C4—132no—
1669C2×C4⋊C4—134no—
1670C2×C4⋊C4—132no—
1671C2×C4⋊C4—134no—
1672C2×C4⋊C4—134no—
1673C2×C4⋊C4C22×D1314yes—
1674C2×C22⋊C4—134no—
1675C2×C22⋊C4—132no—
1676C2×C22⋊C4—134no—
1677C2×C22⋊C4—131no—
1678C2×C22⋊C4—131no—
1679C2×C22⋊C4—134no—
1680C2×C22⋊C4—134no—
1681C2×C22⋊C4—134no—
1682C2×C22⋊C4—134no—
1683C2×C22⋊C4—134no—
1684C2×C22⋊C4—134no—
1685C2×C22⋊C4—134no—
1686C2×C42—132no—
1687C2×C42—131no—
1688C2×C42—131no—
1689C2×C42—134no—
1690C2×C42—131no—
1691C2×C42—132no—
1692C2×C42—131no—
1693C2×C42—134no—
1694C2×C42—132no—
1695C2×C42—134no—
1696C2×C42—131no—
1697C2×C42—131no—
1698C2×C42—132no—
1699C2×C42—131no—
1700C2×C42C22×D1311yescharacteristic
1701C2×C13—41no—
1702C2×C13—44no—
1703C2×C13C22×2−1+411yescharacteristic
1704C2×C13C2×#58512yes—
1705D13—41no—
1706D13—44no—
1707D13#355714yesdirect product factor
1708C24—131no—
1709C24—134no—
1710C2×Q8—134no—
1711C2×Q8—132no—
1712C2×Q8—132no—
1713C2×Q8—132no—
1714C2×Q8—132no—
1715C2×Q8—134no—
1716C2×Q8—134no—
1717C2×Q8—134no—
1718C2×Q8—132no—
1719C2×Q8—132no—
1720C2×Q8—132no—
1721C2×Q8—268no—
1722C2×Q8—524no—
1723C2×Q8—528no—
1724C2×Q8—524no—
1725C2×Q8C23×D1312yes—
1726C2×Q8C23×D1312yes—
1727C2×Q8C23×D1314yes—
1728C2×Q8C23×D1312yes—
1729C2×D4—134no—
1730C2×D4—134no—
1731C2×D4—134no—
1732C2×D4—134no—
1733C2×D4—134no—
1734C2×D4—132no—
1735C2×D4—134no—
1736C2×D4—134no—
1737C2×D4—268no—
1738C2×D4—528no—
1739C2×D4—528no—
1740C2×D4C23×D1312yes—
1741C2×D4C23×D1314yes—
1742C2×D4C23×D1314yes—
1743C22×C4—131no—
1744C22×C4—131no—
1745C22×C4—132no—
1746C22×C4—134no—
1747C22×C4—134no—
1748C22×C4—134no—
1749C22×C4—132no—
1750C22×C4—134no—
1751C22×C4—132no—
1752C22×C4—132no—
1753C22×C4—131no—
1754C22×C4—132no—
1755C22×C4—134no—
1756C22×C4—131no—
1757C22×C4—131no—
1758C22×C4—132no—
1759C22×C4—132no—
1760C22×C4—134no—
1761C22×C4—132no—
1762C22×C4—132no—
1763C22×C4—134no—
1764C22×C4—134no—
1765C22×C4—134no—
1766C22×C4—134no—
1767C22×C4—134no—
1768C22×C4—134no—
1769C22×C4—264no—
1770C22×C4—528no—
1771C22×C4—524no—
1772C22×C4—528no—
1773C22×C4—528no—
1774C22×C4C23×D1311yescharacteristic
1775C22×C4C23×D1312yes—
1776C22×C4C23×D1314yes—
1777C22×C4C23×D1314yes—
1778C22×C4C23×D1314yes—
1779C4⋊C4—132no—
1780C4⋊C4—132no—
1781C4⋊C4—132no—
1782C4⋊C4—134no—
1783C4⋊C4—134no—
1784C4⋊C4—134no—
1785C4⋊C4—134no—
1786C4⋊C4—134no—
1787C4⋊C4—134no—
1788C4⋊C4—134no—
1789C4⋊C4—134no—
1790C4⋊C4—134no—
1791C4⋊C4—132no—
1792C4⋊C4—132no—
1793C4⋊C4—132no—
1794C4⋊C4—134no—
1795C4⋊C4—134no—
1796C4⋊C4—134no—
1797C4⋊C4—132no—
1798C4⋊C4—132no—
1799C4⋊C4—132no—
1800C4⋊C4—134no—
1801C4⋊C4—134no—
1802C4⋊C4—134no—
1803C4⋊C4—132no—
1804C4⋊C4—132no—
1805C4⋊C4—132no—
1806C4⋊C4—132no—
1807C4⋊C4—132no—
1808C4⋊C4—132no—
1809C4⋊C4—134no—
1810C4⋊C4—132no—
1811C4⋊C4—134no—
1812C4⋊C4—132no—
1813C4⋊C4—134no—
1814C4⋊C4—134no—
1815C4⋊C4—134no—
1816C4⋊C4—132no—
1817C4⋊C4—132no—
1818C4⋊C4—132no—
1819C4⋊C4—134no—
1820C4⋊C4—134no—
1821C4⋊C4—134no—
1822C4⋊C4—132no—
1823C4⋊C4—132no—
1824C4⋊C4—132no—
1825C4⋊C4—134no—
1826C4⋊C4—134no—
1827C4⋊C4—134no—
1828C4⋊C4—132no—
1829C4⋊C4—132no—
1830C4⋊C4—132no—
1831C4⋊C4—134no—
1832C4⋊C4—134no—
1833C4⋊C4—134no—
1834C4⋊C4—134no—
1835C4⋊C4—134no—
1836C4⋊C4—134no—
1837C4⋊C4C23×D1312yes—
1838C4⋊C4C23×D1314yes—
1839C4⋊C4C23×D1314yes—
1840C4⋊C4C23×D1314yes—
1841C4⋊C4C23×D1312yes—
1842C4⋊C4C23×D1314yes—
1843C4⋊C4C23×D1312yes—
1844C4⋊C4C23×D1314yes—
1845C4⋊C4C23×D1312yes—
1846C4⋊C4C23×D1312yes—
1847C4⋊C4C23×D1312yes—
1848C4⋊C4C23×D1312yes—
1849C4⋊C4C23×D1314yes—
1850C4⋊C4C23×D1312yes—
1851C4⋊C4C23×D1314yes—
1852C4⋊C4C23×D1312yes—
1853C4⋊C4C23×D1314yes—
1854C4⋊C4C23×D1312yes—
1855C4⋊C4C23×D1314yes—
1856C4⋊C4C23×D1314yes—
1857C22⋊C4—134no—
1858C22⋊C4—132no—
1859C22⋊C4—134no—
1860C22⋊C4—131no—
1861C22⋊C4—131no—
1862C22⋊C4—134no—
1863C22⋊C4—134no—
1864C22⋊C4—134no—
1865C22⋊C4—134no—
1866C22⋊C4—134no—
1867C22⋊C4—134no—
1868C22⋊C4—134no—
1869C22⋊C4—134no—
1870C22⋊C4—134no—
1871C22⋊C4—132no—
1872C22⋊C4—132no—
1873C22⋊C4—134no—
1874C22⋊C4—134no—
1875C22⋊C4—132no—
1876C22⋊C4—132no—
1877C22⋊C4—134no—
1878C22⋊C4—134no—
1879C22⋊C4—134no—
1880C22⋊C4—134no—
1881C22⋊C4—134no—
1882C22⋊C4—134no—
1883C22⋊C4—134no—
1884C22⋊C4—134no—
1885C22⋊C4—134no—
1886C22⋊C4—134no—
1887C22⋊C4—134no—
1888C22⋊C4—134no—
1889C22⋊C4—134no—
1890C22⋊C4—134no—
1891C22⋊C4C23×D1314yes—
1892C22⋊C4C23×D1312yes—
1893C22⋊C4C23×D1314yes—
1894C22⋊C4C23×D1311yescharacteristic
1895C22⋊C4C23×D1311yescharacteristic
1896C22⋊C4C23×D1314yes—
1897C22⋊C4C23×D1314yes—
1898C22⋊C4C23×D1314yes—
1899C22⋊C4C23×D1314yes—
1900C22⋊C4C23×D1314yes—
1901C22⋊C4C23×D1314yes—
1902C22⋊C4C23×D1314yes—
1903C42—131no—
1904C42—132no—
1905C42—132no—
1906C42—132no—
1907C42—132no—
1908C42—132no—
1909C42—131no—
1910C42—134no—
1911C42—134no—
1912C42—134no—
1913C42—132no—
1914C42—131no—
1915C42—132no—
1916C42—132no—
1917C42—132no—
1918C42—132no—
1919C42—131no—
1920C42—134no—
1921C42—134no—
1922C42—134no—
1923C42—134no—
1924C42—134no—
1925C42—134no—
1926C42C23×D1311yescharacteristic
1927C42C23×D1312yes—
1928C42C23×D1311yescharacteristic
1929C42C23×D1314yes—
1930C42C23×D1311yescharacteristic
1931C42C23×D1312yes—
1932C42C23×D1311yescharacteristic
1933C42C23×D1314yes—
1934C42C23×D1314yes—
1935C13C2×#355711yescharacteristic, complemented, Sylow
1936C23—131no—
1937C23—131no—
1938C23—134no—
1939C23—262no—
1940C23—268no—
1941C23—264no—
1942C23—268no—
1943C23—268no—
1944C23C24×D1311yescharacteristic
1945C23C24×D1314yes—
1946Q8—24no—
1947Q8—42no—
1948Q8—44no—
1949Q8—42no—
1950Q8—268no—
1951Q8—264no—
1952Q8—522no—
1953Q8—522no—
1954Q8—524no—
1955Q8—524no—
1956Q8—522no—
1957Q8—522no—
1958Q8—522no—
1959Q8—524no—
1960Q8—522no—
1961D4—24no—
1962D4—44no—
1963D4—44no—
1964D4—268no—
1965D4—264no—
1966D4—524no—
1967D4—524no—
1968D4—524no—
1969D4—524no—
1970D4—524no—
1971D4—524no—
1972C2×C4—22no—
1973C2×C4—44no—
1974C2×C4—42no—
1975C2×C4—44no—
1976C2×C4—44no—
1977C2×C4—131no—
1978C2×C4—134no—
1979C2×C4—132no—
1980C2×C4—134no—
1981C2×C4—132no—
1982C2×C4—132no—
1983C2×C4—131no—
1984C2×C4—132no—
1985C2×C4—134no—
1986C2×C4—132no—
1987C2×C4—132no—
1988C2×C4—134no—
1989C2×C4—262no—
1990C2×C4—262no—
1991C2×C4—264no—
1992C2×C4—264no—
1993C2×C4—264no—
1994C2×C4—268no—
1995C2×C4—268no—
1996C2×C4—264no—
1997C2×C4—264no—
1998C2×C4—268no—
1999C2×C4—264no—
2000C2×C4—262no—
2001C2×C4—262no—
2002C2×C4—524no—
2003C2×C4—522no—
2004C2×C4—524no—
2005C2×C4—524no—
2006C2×C4—524no—
2007C2×C4—524no—
2008C2×C4—524no—
2009C2×C4—522no—
2010C2×C4—524no—
2011C2×C4—522no—
2012C2×C4—524no—
2013C2×C4—524no—
2014C2×C4C24×D1312yes—
2015C2×C4C24×D1314yes—
2016C2×C4C24×D1312yes—
2017C2×C4C24×D1312yes—
2018C2×C4C24×D1311yescharacteristic
2019C2×C4C24×D1312yes—
2020C2×C4C24×D1314yes—
2021C2×C4C24×D1312yes—
2022C2×C4C24×D1312yes—
2023C2×C4C24×D1314yes—
2024C2×C4C24×D1311yescharacteristic
2025C22—21no—
2026C22—24no—
2027C22—24no—
2028C22—22no—
2029C22—24no—
2030C22—132no—
2031C22—134no—
2032C22—261no—
2033C22—264no—
2034C22—264no—
2035C22—262no—
2036C22—264no—
2037C22—524no—
2038C22—5216no—
2039C22C25×D1311yescharacteristic
2040C4—21no—
2041C4—24no—
2042C4—22no—
2043C4—24no—
2044C4—22no—
2045C4—22no—
2046C4—24no—
2047C4—22no—
2048C4—22no—
2049C4—22no—
2050C4—132no—
2051C4—261no—
2052C4—264no—
2053C4—262no—
2054C4—262no—
2055C4—262no—
2056C4—264no—
2057C4—264no—
2058C4—262no—
2059C4—262no—
2060C4—262no—
2061C4D13×2−1+412yes—
2062C2—41no—
2063C2—44no—
2064C2—134no—
2065C2—521no—
2066C2—524no—
2067C2C2×D13×2−1+411yescharacteristic
2068C2D13×#58512yes—
subgroupG/H
center, FrattiniC22C25×D13
commutator, socle, cosocleC22×C13C26
FittingC13×#3557C2
prime radicalD13×#540C2
hypercenter#3557D13
hypocenterC13C2×#3557
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #13129344C2semidirect
2. #13129343C2semidirect
3. #13129342C2semidirect
4. #13129341C2semidirect
5. #13129340C2semidirect
6. #13129339C2semidirect
7. #13129338C2semidirect
8. #13129337C2semidirect
9. #13129336C2semidirect
10. #13129335C2semidirect
11. #13129334C2semidirect
12. #13129333C2semidirect
13. #13129332C2semidirect
14. D13×#563C2semidirect
15. D13×#559C2semidirect
16. D13×#557C2semidirect
17. D13×#556C2semidirect
18. D13×#554C2semidirect
19. D13×#552C2semidirect
20. D13×#542C2semidirect
21. D13×#542C2semidirect
22. D13×#541C2semidirect
24. D13×#539C2semidirect
25. D13×#533C2semidirect
26. D13×#529C2semidirect
27. C13×#3557C2semidirect
28. C13×#563C22semidirect
29. C13×#559C22semidirect
30. C13×#557C22semidirect
31. C13×#556C22semidirect
32. C13×#554C22semidirect
33. C13×#552C22semidirect
34. C13×#542C22semidirect
35. C13×#542C22semidirect
36. C13×#541C22semidirect
38. C13×#539C22semidirect
39. C13×#533C22semidirect
40. C13×#529C22semidirect
41. #11719440C22semidirect
42. #11719440C22semidirect
43. #11719438C22semidirect
44. #11719438C22semidirect
45. #11719437C22semidirect
46. #11719436C22semidirect
47. #11719435C22semidirect
48. #11719433C22semidirect
53. #11719426C22semidirect
54. #11719426C22semidirect
57. #11719418C22semidirect
58. #11719417C22semidirect
59. #11719417C22semidirect
60. #11719417C22semidirect
61. #11719417C22semidirect
62. #11719415C22semidirect
63. #11719415C22semidirect
64. #11719415C22semidirect
65. #11719413C22semidirect
66. #11719413C22semidirect
67. #11719412C22semidirect
68. #11719412C22semidirect
69. #11719411C22semidirect
75. #11719407C22semidirect
76. #11719407C22semidirect
77. #11719406C22semidirect
78. #11719404C22semidirect
79. #11719404C22semidirect
81. #11719402C22semidirect
82. #11719401C22semidirect
83. #11719399C22semidirect
84. #11719398C22semidirect
85. #11719398C22semidirect
86. #11719397C22semidirect
87. #11719397C22semidirect
88. #11719396C22semidirect
89. #11719395C22semidirect
90. #11719395C22semidirect
91. #11719393C22semidirect
99. #11719390C22semidirect
100. #11719390C22semidirect
101. #11719390C22semidirect
102. #11719390C22semidirect
103. #11719387C22semidirect
104. #11719387C22semidirect
105. #11719386C22semidirect
106. #11719386C22semidirect
107. #11719386C22semidirect
108. #11719385C22semidirect
113. #11719377C22semidirect
114. #11719376C22semidirect
115. #11719376C22semidirect
116. #11719374C22semidirect
117. #11719374C22semidirect
118. #11719374C22semidirect
119. #11719370C22semidirect
120. #11719370C22semidirect
121. #11719369C22semidirect
122. #11719369C22semidirect
124. #11719367C22semidirect
125. #11719367C22semidirect
126. #11719367C22semidirect
127. #11719365C22semidirect
128. #11719365C22semidirect
134. #11719356C22semidirect
135. #11719356C22semidirect
136. #11719355C22semidirect
137. #11719355C22semidirect
138. #11719354C22semidirect
139. #11719351C22semidirect
140. #11719351C22semidirect
141. #11719351C22semidirect
142. #11719351C22semidirect
143. #11719350C22semidirect
144. #11719348C22semidirect
145. #11719348C22semidirect
146. #11719347C22semidirect
147. #11719346C22semidirect
148. #11719345C22semidirect
149. #11719345C22semidirect
150. #11719345C22semidirect
151. #11719344C22semidirect
152. #11719343C22semidirect
153. #11719343C22semidirect
154. #11719341C22semidirect
155. #11719341C22semidirect
156. #11719340C22semidirect
165. #11719330C22semidirect
166. #11719329C22semidirect
167. #11719327C22semidirect
168. #11719327C22semidirect
173. #11719308C22semidirect
174. #11719308C22semidirect
175. #11719307C22semidirect
176. #11719305C22semidirect
177. #11719290C22semidirect
178. #11719290C22semidirect
179. #11719289C22semidirect
180. #11719288C22semidirect
181. #11719287C22semidirect
182. #11719287C22semidirect
183. #11719286C22semidirect
184. #11719285C22semidirect
185. #11719284C22semidirect
186. #11719283C22semidirect
187. #11719283C22semidirect
194. #11719275C22semidirect
195. #11719274C22semidirect
196. #11719274C22semidirect
197. #11719273C22semidirect
198. #11719273C22semidirect
199. #11719272C22semidirect
200. #11719272C22semidirect
201. #11719269C22semidirect
202. #11719269C22semidirect
204. #11719266C22semidirect
205. #11719266C22semidirect
206. #11719264C22semidirect
207. #11719264C22semidirect
208. #11719264C22semidirect
209. #11719262C22semidirect
215. #11719248C22semidirect
216. #11719247C22semidirect
217. #11719246C22semidirect
218. #11719244C22semidirect
219. #11719244C22semidirect
220. #11719243C22semidirect
222. #11719239C22semidirect
223. #11719239C22semidirect
224. #11719238C22semidirect
225. #11719236C22semidirect
226. #11719236C22semidirect
227. #11719234C22semidirect
228. #11719233C22semidirect
233. #11719223C22semidirect
234. #11719222C22semidirect
235. #11719222C22semidirect
236. #11719220C22semidirect
237. #11719218C22semidirect
238. #11719216C22semidirect
240. #11719184C22semidirect
242. #11719175C22semidirect
915. #3557D13direct (N × H)
1033. #563C2×D13semidirect
1045. #559C2×D13semidirect
1057. #557C2×D13semidirect
1069. #556C2×D13semidirect
1081. #554C2×D13semidirect
1097. #552C2×D13semidirect
1124. #542C2×D13semidirect
1125. #542C2×D13semidirect
1133. #541C2×D13semidirect
1157. #539C2×D13semidirect
1167. #533C2×D13semidirect
1184. #529C2×D13semidirect
1707. D13#3557direct (N × H)
1935. C13C2×#3557semidirect

Maximal subgroups

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

subgroupindex
#131293442
#131293432
#131293422
#131293412
#131293402
#131293392
#131293382
#131293372
#131293362
#131293352
#131293342
#131293332
#131293322
D13×#5632
D13×#5592
D13×#5572
D13×#5562
D13×#5542
D13×#5522
D13×#5422
D13×#5412
D13×#5402
D13×#5392
D13×#5332
D13×#5292
C13×#35572
C2×#355713