Finite Group Databasebeta

← #16771296

Subgroups — #16771296

Order 3328.

7856 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128912C212yesmaximal, complemented
2#13128855C216yesmaximal, complemented
3#13128833C212yesmaximal, complemented
4#13128784C216yesmaximal, complemented
5#13128745C213yesmaximal, complemented
6#13128711C213yesmaximal, complemented
7#13128649C211yesmaximal, characteristic, complemented
8#13128610C211yesmaximal, characteristic, complemented
9#13128573C213yesmaximal, complemented
10#13128565C213yesmaximal, complemented
11#13128505C211yesmaximal, characteristic, complemented
12#13128459C212yesmaximal, complemented
13#13128441C216yesmaximal, complemented
14#13128426C212yesmaximal, complemented
15D4×#6129C216yesmaximal, complemented
16#13128253C213yesmaximal, complemented
17#13128249C213yesmaximal, complemented
18#13128128C213yesmaximal, complemented
19C2×#11719301C213yesmaximal, complemented
20H(5,𝔽2)×Dic13C211yesmaximal, characteristic, complemented
21#13128042C211yesmaximal, characteristic, complemented
22C2×#41×Dic13C211yesmaximal, characteristic, complemented
23C13×#3488C211yesmaximal, characteristic, complemented
24C2×C13×H(5,𝔽2)C2211yescharacteristic
25C22×C13×#41C2211yescharacteristic
26C2×#88256C2211yescharacteristic
27C22×#6129C2216yescomplemented
28C13×#550C2212yescomplemented
29C13×#548C2212yescomplemented
30C13×#546C2216yescomplemented
31D42×C13C2216yescomplemented
32C13×#537C2213yescomplemented
33C13×#535C2213yescomplemented
34C13×#525C2213yescomplemented
35C2×C13×#121C2213yescomplemented
36C13×#520C2211yescharacteristic
37#11719539C2212yescomplemented
38#11719539C2212yescomplemented
39#11719539C2212yescomplemented
40#11719538C2213yescomplemented
41#11719537C2213yescomplemented
42#11719535C2213yescomplemented
43#11719535C2213yescomplemented
44#11719534C2216yescomplemented
45#11719532C2211yescharacteristic
46#11719532C2213yescomplemented
47#11719532C2212yescomplemented
48#41×Dic13C2211yescharacteristic
49#41×Dic13C2211yescharacteristic
50#41×Dic13C2213yescomplemented
51#41×Dic13C2211yescharacteristic, complemented
52#41×Dic13C2212yescomplemented
53#41×Dic13C2213yescomplemented
54#41×Dic13C2213yescomplemented
55#41×Dic13C2213yescomplemented
56#41×Dic13C2211yescharacteristic, complemented
57#41×Dic13C2213yescomplemented
58#11719522C2212yescomplemented
59C2×Q8×Dic13C2211yescharacteristic, complemented
60C2×Q8×Dic13C2211yescharacteristic, complemented
61#11719511C22112yescomplemented
62#11719510C2213yescomplemented
63C2×#88194C2213yescomplemented
64C2×#88193C2216yescomplemented
65D4×C22⋊D13C2216yescomplemented
66D4×C22⋊D13C2216yescomplemented
67D4×C22⋊D13C2216yescomplemented
68#11719503C2213yescomplemented
69#11719503C2216yescomplemented
70C2×D4×Dic13C2213yescomplemented
71C2×D4×Dic13C2213yescomplemented
72C2×D4×Dic13C2213yescomplemented
73C2×D4×Dic13C2216yescomplemented
74#11719496C2213yescomplemented
75C2×#88184C2213yescomplemented
76C2×#88180C2213yescomplemented
77C22×C4×Dic13C2213yescomplemented
78#11719424C2216yescomplemented
79#11719423C2216yescomplemented
80#11719423C2216yescomplemented
81#11719421C2216yescomplemented
82#11719387C2216yescomplemented
83#11719386C2216yescomplemented
84#11719386C2216yescomplemented
85#11719385C2216yescomplemented
86#11719363C22112yescomplemented
87#11719354C2216yescomplemented
88#11719354C2216yescomplemented
89#11719348C2216yescomplemented
90#11719348C2216yescomplemented
91#11719346C2216yescomplemented
92#11719340C2216yescomplemented
93#11719329C2213yescomplemented
94#11719329C2216yescomplemented
95#11719329C2213yescomplemented
96#11719327C2213yescomplemented
97#11719327C2211yescharacteristic, complemented
98#11719324C2216yescomplemented
99#11719324C2216yescomplemented
100#11719324C2216yescomplemented
101#11719323C2216yescomplemented
102#11719322C22112yescomplemented
103#11719321C2216yescomplemented
104#11719321C2216yescomplemented
105#11719319C2216yescomplemented
106#11719316C2216yescomplemented
107#11719316C2216yescomplemented
108#11719311C22112yescomplemented
109#11719308C2216yescomplemented
110#11719306C22112yescomplemented
111#11719305C2213yescomplemented
112#11719305C2213yescomplemented
113#11719303C22112yescomplemented
114#11719301C2213yescomplemented
115#11719301C2216yescomplemented
116#11719301C2216yescomplemented
117#11719301C2216yescomplemented
118#11719301C2216yescomplemented
119#11719301C2216yescomplemented
120#11719301C2216yescomplemented
121#11719301C2216yescomplemented
122#11719301C2216yescomplemented
123#11719301C2213yescomplemented
124#11719298C22112yescomplemented
125#11719296C22112yescomplemented
126#11719296C22112yescomplemented
127#11719296C22112yescomplemented
128#11719291C22112yescomplemented
129#11719291C2216yescomplemented
130#11719291C2216yescomplemented
131#11719279C2212yescomplemented
132C4×#6131C2212yescomplemented
133#11719274C2212yescomplemented
134Q8×Dic26C2212yescomplemented
135#11719270C2216yescomplemented
136#11719270C2216yescomplemented
137#11719268C2216yescomplemented
138#11719260C2216yescomplemented
139#11719250C2216yescomplemented
140C4×D4×D13C2216yescomplemented
141#11719244C2216yescomplemented
142#11719243C2216yescomplemented
143#11719243C2216yescomplemented
144D4×Dic26C2216yescomplemented
145C4×#6129C2216yescomplemented
146C4×#6129C2216yescomplemented
147#11719227C2213yescomplemented
148#11719226C2213yescomplemented
149#11719224C2213yescomplemented
150#11719222C2213yescomplemented
151#11719209C2213yescomplemented
152C2×#88147C2213yescomplemented
153#11719205C2213yescomplemented
154C2×#88142C2213yescomplemented
155#11719200C22112yescomplemented
156C2×#88139C2216yescomplemented
157C2×#88135C2216yescomplemented
158C13×H(5,𝔽2)—28no—
159C2×C13×#41—28no—
160C2×C13×#41C2313yes—
161C2×C13×#41C2313yes—
162C2×C13×#41C2311yescharacteristic
163C2×C13×#41C2313yes—
164C2×C13×#41C2312yes—
165C2×C13×#41C2311yescharacteristic
166C22×Q8×C13C2311yescharacteristic
167C22×D4×C13C2313yes—
168C22×D4×C13C2316yes—
169C22×D4×C13C2313yes—
170C22×D4×C13C2316yes—
171C23×C4×C13C2313yes—
172C22×C22⋊D13C2316yes—
173C22×C22⋊D13C2316yes—
174C22×C22⋊D13C2316yes—
175C23×Dic13C2313yes—
176C23×Dic13C2316yes—
177C23×Dic13C2313yes—
178#88256—28no—
179C2×#6131C2312yes—
180C2×#6129—424no—
181C2×#6129C2316yes—
182C2×#6129C2316yes—
183C2×#6129C23112yes—
184C2×#6129C23112yes—
185C2×#6129C23112yes—
186C2×D4×D13C2316yes—
187C2×#6127C2313yes—
188C22×D52C2313yes—
189C22×C4×D13C2316yes—
190C22×Dic26C2316yes—
191C13×#127C2316yes—
192C13×#124C2316yes—
193C13×#123C2316yes—
194C13×C22⋊Q8C2311yescharacteristic
195C13×C22⋊Q8C2313yes—
196C13×C22⋊Q8C2316yes—
197C13×#121C2313yes—
198C13×#121C2316yes—
199C13×#121C2316yes—
200C13×#121C2316yes—
201C13×#121C2313yes—
202C13×#121C2316yes—
203C13×#121C23112yes—
204C13×#120C2316yes—
205C13×#120C23112yes—
206C4×Q8×C13C2312yes—
207C4×D4×C13C2316yes—
208C4×D4×C13C2316yes—
209C4×D4×C13C2316yes—
210C13×#117C2313yes—
211C2×C13×C4⋊C4C2313yes—
212C2×C13×C22⋊C4C2316yes—
213#88207C23112yes—
214#88207C2316yes—
215C2×C22⋊Dic13C2316yes—
216C2×C22⋊Dic13C23112yes—
217C2×C22⋊Dic13C2316yes—
218#88201C2316yes—
219#88201C2313yes—
220#88200C2316yes—
221Q8×Dic13C2311yescharacteristic
222Q8×Dic13C2311yescharacteristic
223Q8×Dic13C2311yescharacteristic
224Q8×Dic13C2311yescharacteristic
225Q8×Dic13C2313yes—
226Q8×Dic13C2313yes—
227Q8×Dic13C2313yes—
228Q8×Dic13C2313yes—
229Q8×Dic13C2312yes—
230Q8×Dic13C2311yescharacteristic
231Q8×Dic13C2313yes—
232#88198C2311yescharacteristic
233#88194C2316yes—
234#88194C2316yes—
235#88194C2316yes—
236#88194C2313yes—
237#88194C2316yes—
238#88193C23112yes—
239#88193C23112yes—
240#88193C2316yes—
241#88193C2316yes—
242#88193C2316yes—
243#88193C2316yes—
244#88193C23112yes—
245#88193C23112yes—
246#88193C23112yes—
247#88193C23112yes—
248#88192C2316yes—
249#88192C2316yes—
250#88192C2316yes—
251#88192C23112yes—
252#88192C23112yes—
253#88191C23112yes—
254#88191C23112yes—
255#88190C2313yes—
256#88190C23112yes—
257#88189C2316yes—
258#88189C23112yes—
259#88189C2316yes—
260D4×Dic13C2313yes—
261D4×Dic13C2316yes—
262D4×Dic13C2316yes—
263D4×Dic13C2316yes—
264D4×Dic13C2313yes—
265D4×Dic13C2316yes—
266D4×Dic13C2313yes—
267D4×Dic13C2313yes—
268D4×Dic13C2316yes—
269D4×Dic13C2313yes—
270D4×Dic13C2316yes—
271D4×Dic13C2313yes—
272D4×Dic13C23112yes—
273D4×Dic13C2316yes—
274D4×Dic13C2316yes—
275D4×Dic13C2316yes—
276D4×Dic13C2316yes—
277D4×Dic13C2316yes—
278D4×Dic13C2316yes—
279D4×Dic13C2313yes—
280D4×Dic13C2313yes—
281D4×Dic13C2313yes—
282D4×Dic13C2316yes—
283D4×Dic13C2313yes—
284D4×Dic13C2316yes—
285#88184C2313yes—
286#88184C2316yes—
287#88184C2316yes—
288#88184C2316yes—
289#88184C2313yes—
290#88184C2316yes—
291#88184C2316yes—
292#88183C2316yes—
293C4×C22⋊D13C23112yes—
294C4×C22⋊D13C2316yes—
295C4×C22⋊D13C2316yes—
296C4×C22⋊D13C2316yes—
297C4×C22⋊D13C2316yes—
298C2×#6103C2316yes—
299C2×#6103C2316yes—
300#88180C2316yes—
301#88180C2313yes—
302#88180C2313yes—
303#88180C2313yes—
304#88180C2313yes—
305#88180C2313yes—
306#88180C2316yes—
307#88180C2316yes—
308#88180C2316yes—
309C2×C4⋊Dic13C2313yes—
310C2×C4⋊Dic13C2313yes—
311C2×C4⋊Dic13C2313yes—
312C2×C4⋊Dic13C2316yes—
313#88178C23112yes—
314#88178C2311yescharacteristic
315#88178C2313yes—
316C2×#6101C2316yes—
317C2×C4×Dic13C2313yes—
318C2×C4×Dic13C2313yes—
319C2×C4×Dic13C2313yes—
320C2×C4×Dic13C2313yes—
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2313yes—
323C2×C4×Dic13C2313yes—
324C2×C4×Dic13C2313yes—
325C2×C4×Dic13C2313yes—
326C2×C4×Dic13C2313yes—
327C2×C4×Dic13C2313yes—
328C2×C4×Dic13C2313yes—
329C2×C4×Dic13C2316yes—
330#88152C2316yes—
331#88152C2316yes—
332#88152C23112yes—
333#88151C23112yes—
334#88147C2313yes—
335#88147C2316yes—
336#88147C2316yes—
337#88147C2316yes—
338#88147C2313yes—
339#88146C2316yes—
340#88146C2316yes—
341#88146C2316yes—
342C4⋊C4×D13C2316yes—
343#88144C2313yes—
344#88144C2316yes—
345#88144C2313yes—
346#88143C2312yes—
347#88143C2316yes—
348#88142C2313yes—
349#88142C2316yes—
350#88142C2316yes—
351#88142C2316yes—
352#88142C2316yes—
353#88142C2311yescharacteristic
354#88141C2313yes—
355#88141C2311yescharacteristic
356#88141C2312yes—
357#88141C2316yes—
358#88140C23112yes—
359#88140C2316yes—
360#88140C2316yes—
361#88140C23112yes—
362#88139C2316yes—
363#88139C23112yes—
364#88139C23112yes—
365#88139C23112yes—
366#88139C2316yes—
367#88139C23112yes—
368#88137C23112yes—
369#88137C23112yes—
370#88137C23112yes—
371#88135C2316yes—
372#88135C23112yes—
373#88135C23112yes—
374#88135C23112yes—
375#88135C2316yes—
376#88135C2316yes—
377#88135C2316yes—
378#88135C2316yes—
379#88135C2316yes—
380C22⋊C4×D13C23112yes—
381#88133C2316yes—
382#88133C23112yes—
383#88133C2316yes—
384#88132C23112yes—
385#88132C2316yes—
386#88132C2316yes—
387#88132C23112yes—
388#88132C2312yes—
389#88132C2316yes—
390#88131C2316yes—
391#88131C2312yes—
392#88131C2316yes—
393#88131C2316yes—
394C4×D52C2316yes—
395C4×D52C2316yes—
396#88126C2316yes—
397C42×D13C2316yes—
398#88124C2316yes—
399#88123C2316yes—
400C4×Dic26C2316yes—
401C4×Dic26C2316yes—
402#62800—131nomaximal, Sylow
403C24×C13C2413yes—
404C24×C13C2416yes—
405C23×D13C2416yes—
406C13×#41—24no—
407C13×#41—28no—
408C13×#41—212no—
409C13×#41—212no—
410C13×#41—212no—
411C13×#41#4118yescomplemented
412C2×Q8×C13—24no—
413C2×Q8×C13C2411yescharacteristic
414C2×Q8×C13C2413yes—
415C2×Q8×C13C2411yescharacteristic
416C2×D4×C13—212no—
417C2×D4×C13—224no—
418C2×D4×C13—212no—
419C2×D4×C13—412no—
420C2×D4×C13C2413yes—
421C2×D4×C13C2416yes—
422C2×D4×C13C2416yes—
423C2×D4×C13C2416yes—
424C2×D4×C13C2413yes—
425C2×D4×C13C2416yes—
426C2×D4×C13C2416yes—
427C2×D4×C13C24112yes—
428C2×D4×C13C2413yes—
429C22×C4×C13—212no—
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2413yes—
432C22×C4×C13C2413yes—
433C22×C4×C13C2413yes—
434C22×C4×C13C2413yes—
435C22×C4×C13C2416yes—
436C22×C4×C13C2416yes—
437C22×C4×C13C2413yes—
438C2×C22⋊D13—412no—
439C2×C22⋊D13—412no—
440C2×C22⋊D13—412no—
441C2×C22⋊D13C2416yes—
442C2×C22⋊D13C2416yes—
443C2×C22⋊D13C2416yes—
444C2×C22⋊D13C2416yes—
445C2×C22⋊D13C24112yes—
446C2×C22⋊D13C2416yes—
447C2×C22⋊D13C24112yes—
448C2×C22⋊D13C24112yes—
449C22×Dic13—212no—
450C22×Dic13—412no—
451C22×Dic13—46no—
452C22×Dic13C2413yes—
453C22×Dic13C2416yes—
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2413yes—
456C22×Dic13C2413yes—
457C22×Dic13C2413yes—
458C22×Dic13C2413yes—
459C22×Dic13C2413yes—
460C22×Dic13C2413yes—
461C22×Dic13C2416yes—
462C22×Dic13C2416yes—
463C22×Dic13C24112yes—
464C22×Dic13C2413yes—
465C22×Dic13C2413yes—
466C22×Dic13C2413yes—
467C22×Dic13C2411yescharacteristic
468#6131—28no—
469#6129—224no—
470#6129—424no—
471#6129—412no—
472#6129—424no—
473#6129—424no—
474D4×D13—224no—
475#6127—212no—
476C2×D52—212no—
477C2×D52C2416yes—
478C2×D52C2413yes—
479C2×C4×D13—412no—
480C2×C4×D13C2416yes—
481C2×C4×D13C2416yes—
482C2×C4×D13C2416yes—
483C2×C4×D13C24112yes—
484C2×Dic26—412no—
485C2×Dic26C2412yes—
486C2×Dic26C2416yes—
487C2×Dic26C2411yescharacteristic
488C2×Dic26C24112yes—
489C13×C4⋊C4C2413yes—
490C13×C4⋊C4C2411yescharacteristic
491C13×C4⋊C4C2412yes—
492C13×C4⋊C4C2416yes—
493C13×C4⋊C4C2416yes—
494C13×C22⋊C4C2412yes—
495C13×C22⋊C4C2416yes—
496C13×C22⋊C4C2416yes—
497C13×C22⋊C4C2416yes—
498C13×C22⋊C4C2416yes—
499C13×C22⋊C4C24112yes—
500C42×C13C2416yes—
501C22⋊Dic13C2416yes—
502C22⋊Dic13C2412yes—
503C22⋊Dic13C2416yes—
504C22⋊Dic13C2416yes—
505C22⋊Dic13C2416yes—
506C22⋊Dic13C2416yes—
507C22⋊Dic13C2416yes—
508C22⋊Dic13C24112yes—
509C22⋊Dic13C2416yes—
510C22⋊Dic13C2416yes—
511C22⋊Dic13C2416yes—
512C22⋊Dic13C2416yes—
513#6103C2416yes—
514#6103C2416yes—
515#6103C24112yes—
516#6103C2416yes—
517#6103C24112yes—
518#6103C2416yes—
519#6103C2416yes—
520#6103C2416yes—
521C4⋊Dic13C2416yes—
522C4⋊Dic13C2416yes—
523C4⋊Dic13C2413yes—
524C4⋊Dic13C2416yes—
525C4⋊Dic13C2413yes—
526C4⋊Dic13C2413yes—
527C4⋊Dic13C2413yes—
528C4⋊Dic13C2416yes—
529C4⋊Dic13C2416yes—
530C4⋊Dic13C2412yes—
531C4⋊Dic13C2416yes—
532C4⋊Dic13C2413yes—
533C4⋊Dic13C2411yescharacteristic
534#6101C2412yes—
535#6101C2416yes—
536#6101C2416yes—
537#6101C2416yes—
538#6101C24112yes—
539#6101C2412yes—
540#6101C2416yes—
541#6101C2412yes—
542#6101C2412yes—
543#6101C2412yes—
544#6101C2416yes—
545C4×Dic13C2413yes—
546C4×Dic13C2413yes—
547C4×Dic13C2416yes—
548C4×Dic13C2412yes—
549C4×Dic13C2413yes—
550C4×Dic13C2416yes—
551C4×Dic13C2413yes—
552C4×Dic13C2413yes—
553C4×Dic13C2413yes—
554C4×Dic13C2412yes—
555C4×Dic13C2416yes—
556C4×Dic13C2413yes—
557C4×Dic13C2413yes—
558C4×Dic13C2411yescharacteristic
559C4×Dic13C2413yes—
560C4×Dic13C2413yes—
561C4×Dic13C2411yescharacteristic
562C4×Dic13C2411yescharacteristic
563C4×Dic13C2413yes—
564C4×Dic13C2411yescharacteristic
565C4×Dic13C2413yes—
566#3522—132no—
567#3519—136no—
568#3517—132no—
569#3514—136no—
570#3511—133no—
571#3508—133no—
572#3503—131no—
573#3498—131no—
574#3494—133no—
575#3494—133no—
576#3488—131no—
577#3488D1311yescharacteristic, complemented
578#3483—132no—
579#3481—136no—
580#3480—132no—
581D4×#41—136no—
582#3460—133no—
583#3460—133no—
584#3444—133no—
585C2×#532—133no—
586C4×H(5,𝔽2)—131no—
587C4×H(5,𝔽2)—131no—
588C2×C4×#41—131no—
589C23×C13—26no—
590C23×C13—26no—
591C23×C13—212no—
592C23×C13—43no—
593C23×C13—46no—
594C23×C13—46no—
595C23×C13C2516yes—
596C23×C13C2513yes—
597C23×C13C2513yes—
598C23×C13C2511yescharacteristic
599C22×D13—212no—
600C22×D13—46no—
601C22×D13—46no—
602C22×D13C2516yes—
603Q8×C13—26no—
604Q8×C13—22no—
605Q8×C13C2×#4114yescomplemented
606D4×C13—212no—
607D4×C13—212no—
608D4×C13—212no—
609D4×C13—26no—
610D4×C13—212no—
611D4×C13—26no—
612D4×C13—412no—
613D4×C13—46no—
614D4×C13C2×#41112yescomplemented
615C2×C4×C13—26no—
616C2×C4×C13—22no—
617C2×C4×C13—26no—
618C2×C4×C13—26no—
619C2×C4×C13—26no—
620C2×C4×C13—212no—
621C2×C4×C13—46no—
622C2×C4×C13C2×#41112yescomplemented
623C2×C4×C13C2511yescharacteristic
624C2×C4×C13C2513yes—
625C2×C4×C13C2512yes—
626C2×C4×C13C2512yes—
627C2×C4×C13C2516yes—
628C2×C4×C13C2511yescharacteristic
629C2×C4×C13C2513yes—
630C22⋊D13—212no—
631C22⋊D13—212no—
632C22⋊D13—212no—
633C22⋊D13—212no—
634C22⋊D13—412no—
635C22⋊D13—412no—
636C22⋊D13—46no—
637C22⋊D13—412no—
638C2×Dic13—26no—
639C2×Dic13—26no—
640C2×Dic13—26no—
641C2×Dic13—212no—
642C2×Dic13—26no—
643C2×Dic13—26no—
644C2×Dic13—26no—
645C2×Dic13—22no—
646C2×Dic13—26no—
647C2×Dic13—46no—
648C2×Dic13—412no—
649C2×Dic13—46no—
650C2×Dic13—43no—
651C2×Dic13—43no—
652C2×Dic13—43no—
653C2×Dic13H(5,𝔽2)14yescomplemented
654C2×Dic13C2511yescharacteristic
655C2×Dic13C2513yes—
656C2×Dic13C2512yes—
657C2×Dic13C2513yes—
658C2×Dic13C2512yes—
659C2×Dic13C2513yes—
660C2×Dic13C2513yes—
661C2×Dic13C2516yes—
662C2×Dic13C2511yescharacteristic
663C2×Dic13C2511yescharacteristic
664C2×Dic13C2511yescharacteristic
665D52—26no—
666D52—212no—
667C4×D13—212no—
668C4×D13—212no—
669C4×D13—412no—
670C4×D13—46no—
671Dic26—22no—
672Dic26—212no—
673Dic26—24no—
674Dic26—412no—
675C2×H(5,𝔽2)—131no—
676C2×H(5,𝔽2)C2×D1311yescharacteristic
677C22×#41—136no—
678C22×#41C2×D1311yescharacteristic
679#559—136no—
680#559—136no—
681Q82—132no—
682#557—132no—
683#556—136no—
684#555—136no—
685#555—136no—
686#555—136no—
687#554—136no—
688#554—136no—
689#553—1312no—
690#553—136no—
691#553—136no—
692#553—136no—
693#553—136no—
694#551—1312no—
695#551—1312no—
696#550—132no—
697#550—132no—
698#550—132no—
699#550—136no—
700#550—136no—
701#550C2×D1312yescomplemented
702D4×Q8—136no—
703#548—132no—
704#548—1312no—
705#548C2×D1312yescomplemented
706#547—136no—
707#547—136no—
708#547—136no—
709#546—136no—
710#546—1312no—
711#546—1312no—
712#546—1312no—
713#546—1312no—
714#546C2×D1316yescomplemented
715D42—136no—
716D42—136no—
717D42—136no—
718D42C2×D1316yescomplemented
719#544—133no—
720#544—133no—
721#542—136no—
722#542—136no—
723#542—136no—
724#542—136no—
725#540—136no—
726#540—136no—
727#540—136no—
728#540—136no—
729#538—1312no—
730#538—1312no—
731#537—133no—
732#537C2×D1313yescomplemented
733#535—133no—
734#535—133no—
735#535—133no—
736#535C2×D1313yescomplemented
737#533—131no—
738#533—133no—
739#533—133no—
740#532—133no—
741#532—136no—
742#532—133no—
743#532—136no—
744#532—136no—
745#532—136no—
746#532—136no—
747#532—136no—
748#532—136no—
749#532—136no—
750#532—133no—
751#532—136no—
752C2×C4⋊Q8—133no—
753C2×#127—133no—
754#529—136no—
755#529—136no—
756#529—136no—
757#529—133no—
758#529—133no—
759#529—136no—
760#529—133no—
761#529—133no—
762#529—136no—
763#529—136no—
764C2×#124—136no—
765#525—133no—
766#525—1312no—
767#525—136no—
768#525—136no—
769#525—1312no—
770#525C2×D1313yescomplemented
771C2×#121—136no—
772C2×#121—133no—
773C2×#121C2×D1313yescomplemented
774#520—131no—
775#520—133no—
776#520—132no—
777#520—132no—
778#520—133no—
779#520C2×D1311yescharacteristic
780#518—133no—
781#518—136no—
782#518—136no—
783#518—133no—
784C4×#41—131no—
785C4×#41—131no—
786C4×#41—133no—
787C4×#41—133no—
788C4×#41—131no—
789C4×#41—133no—
790C4×#41—133no—
791C4×#41—131no—
792C4×#41—133no—
793C4×#41—132no—
794C4×#41—132no—
795C4×#41—136no—
796C4×#41—136no—
797C4×#41—133no—
798C2×C4×Q8—131no—
799C2×C4×Q8—131no—
800C2×C4×D4—133no—
801C2×C4×D4—133no—
802C2×C4×D4—133no—
803C2×C4×D4—136no—
804C2×C4×D4—136no—
805C2×C4×D4—133no—
806C2×C4×D4—136no—
807C2×#117—133no—
808C22×C42—133no—
809C22×C13—21no—
810C22×C13—23no—
811C22×C13—21no—
812C22×C13—23no—
813C22×C13—23no—
814C22×C13—26no—
815C22×C13—23no—
816C22×C13—26no—
817C22×C13—23no—
818C22×C13—26no—
819C22×C13—412no—
820C22×C13—812no—
821C22×C13C22×#4116yes—
822C22×C13C2×H(5,𝔽2)12yes—
823C22×C13C2611yescharacteristic
824C2×D13—26no—
825C2×D13—26no—
826C2×D13—26no—
827C2×D13—812no—
828C4×C13—21no—
829C4×C13—22no—
830C4×C13—23no—
831C4×C13—26no—
832C4×C13—22no—
833C4×C13C22×#4112yes—
834C4×C13C22×#4116yes—
835Dic13—22no—
836Dic13—26no—
837Dic13—23no—
838Dic13—23no—
839Dic13—22no—
840Dic13—23no—
841Dic13—21no—
842Dic13—23no—
843Dic13C2×H(5,𝔽2)12yes—
844Dic13C2×H(5,𝔽2)12yes—
845Dic13#58512yes—
846H(5,𝔽2)—28no—
847H(5,𝔽2)—268no—
848C2×#41—28no—
849C2×#41—132no—
850C2×#41—136no—
851C2×#41—136no—
852C2×#41—1312no—
853C2×#41—1312no—
854C2×#41—1312no—
855C2×#41—133no—
856C2×#41—5224no—
857C2×#41C22×D1313yes—
858C2×#41C22×D1313yes—
859C2×#41C22×D1311yescharacteristic
860C2×#41C22×D1313yes—
861C2×#41C22×D1312yes—
862C2×#41C22×D1311yescharacteristic
863C22×Q8—136no—
864C22×Q8C22×D1311yescharacteristic
865C22×D4—136no—
866C22×D4—136no—
867C22×D4—136no—
868C22×D4—136no—
869C22×D4—133no—
870C22×D4C22×D1313yes—
871C22×D4C22×D1313yes—
872C22×D4C22×D1316yes—
873C22×D4C22×D1316yes—
874C23×C4—133no—
875C23×C4—136no—
876C23×C4—133no—
877C23×C4—136no—
878C23×C4C22×D1313yes—
879C4⋊Q8—131no—
880C4⋊Q8—133no—
881C4⋊Q8—136no—
882C4⋊Q8—136no—
883C4⋊Q8—136no—
884C4⋊Q8—131no—
885C4⋊Q8—136no—
886C4⋊Q8—136no—
887#127—133no—
888#127—136no—
889#127—136no—
890#127—136no—
891#127—136no—
892#127C22×D1316yes—
893#126—136no—
894#126—136no—
895#126—1312no—
896#126—136no—
897#126—136no—
898#126—1312no—
899#125—132no—
900#125—133no—
901#125—133no—
902#125—136no—
903#125—136no—
904#125—136no—
905#124—133no—
906#124—136no—
907#124—133no—
908#124—1312no—
909#124—136no—
910#124—1312no—
911#124—1312no—
912#124—1312no—
913#124—136no—
914#124—1312no—
915#124C22×D1316yes—
916#123—136no—
917#123—136no—
918#123—1312no—
919#123—136no—
920#123—136no—
921#123—136no—
922#123—1312no—
923#123—1312no—
924#123—1312no—
925#123—1312no—
926#123—1312no—
927#123C22×D1316yes—
928C22⋊Q8—136no—
929C22⋊Q8—131no—
930C22⋊Q8—133no—
931C22⋊Q8—1312no—
932C22⋊Q8—1312no—
933C22⋊Q8—132no—
934C22⋊Q8—136no—
935C22⋊Q8—136no—
936C22⋊Q8—136no—
937C22⋊Q8—1312no—
938C22⋊Q8—1312no—
939C22⋊Q8C22×D1311yescharacteristic
940C22⋊Q8C22×D1313yes—
941C22⋊Q8C22×D1316yes—
942#121—136no—
943#121—1312no—
944#121—1312no—
945#121—1312no—
946#121—136no—
947#121—136no—
948#121—136no—
949#121—1312no—
950#121—1312no—
951#121—1312no—
952#121—136no—
953#121—136no—
954#121—136no—
955#121—1312no—
956#121—1312no—
957#121—133no—
958#121—136no—
959#121—136no—
960#121—136no—
961#121—133no—
962#121—136no—
963#121—136no—
964#121C22×D1313yes—
965#121C22×D1316yes—
966#121C22×D1316yes—
967#121C22×D1316yes—
968#121C22×D13112yes—
969#121C22×D1313yes—
970#121C22×D1316yes—
971#120—136no—
972#120—1312no—
973#120—1312no—
974#120—1312no—
975#120C22×D1316yes—
976#120C22×D13112yes—
977C4×Q8—131no—
978C4×Q8—131no—
979C4×Q8—133no—
980C4×Q8—133no—
981C4×Q8—131no—
982C4×Q8—131no—
983C4×Q8—133no—
984C4×Q8—133no—
985C4×Q8—131no—
986C4×Q8—133no—
987C4×Q8—132no—
988C4×Q8—132no—
989C4×Q8—131no—
990C4×Q8—133no—
991C4×Q8—136no—
992C4×Q8—136no—
993C4×Q8—136no—
994C4×Q8C22×D1312yes—
995C4×D4—133no—
996C4×D4—136no—
997C4×D4—136no—
998C4×D4—133no—
999C4×D4—133no—
1000C4×D4—136no—
1001C4×D4—133no—
1002C4×D4—136no—
1003C4×D4—133no—
1004C4×D4—133no—
1005C4×D4—133no—
1006C4×D4—136no—
1007C4×D4—136no—
1008C4×D4—133no—
1009C4×D4—133no—
1010C4×D4—136no—
1011C4×D4—136no—
1012C4×D4—136no—
1013C4×D4—1312no—
1014C4×D4—136no—
1015C4×D4—136no—
1016C4×D4—133no—
1017C4×D4—136no—
1018C4×D4—136no—
1019C4×D4—136no—
1020C4×D4—1312no—
1021C4×D4—136no—
1022C4×D4—136no—
1023C4×D4—136no—
1024C4×D4—136no—
1025C4×D4—136no—
1026C4×D4—133no—
1027C4×D4—136no—
1028C4×D4—136no—
1029C4×D4—133no—
1030C4×D4—136no—
1031C4×D4—136no—
1032C4×D4—1312no—
1033C4×D4—1312no—
1034C4×D4—1312no—
1035C4×D4—136no—
1036C4×D4—136no—
1037C4×D4—136no—
1038C4×D4—136no—
1039C4×D4—136no—
1040C4×D4—136no—
1041C4×D4C22×D1316yes—
1042C4×D4C22×D1316yes—
1043C4×D4C22×D1316yes—
1044#117—133no—
1045#117—133no—
1046#117—136no—
1047#117—136no—
1048#117—133no—
1049#117—133no—
1050#117—133no—
1051#117—136no—
1052#117—136no—
1053#117—136no—
1054#117—136no—
1055#117—136no—
1056#117—132no—
1057#117—136no—
1058#117—136no—
1059#117—136no—
1060#117—136no—
1061#117C22×D1313yes—
1062C2×C4⋊C4—133no—
1063C2×C4⋊C4—133no—
1064C2×C4⋊C4—133no—
1065C2×C4⋊C4—136no—
1066C2×C4⋊C4—136no—
1067C2×C4⋊C4—136no—
1068C2×C4⋊C4C22×D1313yes—
1069C2×C22⋊C4—136no—
1070C2×C22⋊C4—136no—
1071C2×C22⋊C4—1312no—
1072C2×C22⋊C4—136no—
1073C2×C22⋊C4—136no—
1074C2×C22⋊C4—1312no—
1075C2×C22⋊C4C22×D1316yes—
1076C2×C42—133no—
1077C2×C42—133no—
1078C2×C42—133no—
1079C2×C42—133no—
1080C2×C42—133no—
1081C2×C42—136no—
1082C2×C42—133no—
1083C2×C42—133no—
1084C2×C42—133no—
1085C2×C42—133no—
1086C2×C42—133no—
1087C2×C42—133no—
1088C2×C42—131no—
1089C2×C42—136no—
1090C2×C13—26no—
1091C2×C13—22no—
1092C2×C13—43no—
1093C2×C13—46no—
1094C2×C13C23×#4111yescharacteristic
1095C2×C13C22×H(5,𝔽2)11yescharacteristic
1096C2×C13C2×#58511yescharacteristic
1097D13—46no—
1098C24—136no—
1099C24C23×D1313yes—
1100C24C23×D1316yes—
1101#41—24no—
1102#41—28no—
1103#41—212no—
1104#41—212no—
1105#41—212no—
1106#41—2624no—
1107#41—268no—
1108#41—2612no—
1109#41—5224no—
1110#41—5224no—
1111#41—5224no—
1112#41—5212no—
1113#41#612918yescomplemented
1114C2×Q8—24no—
1115C2×Q8—132no—
1116C2×Q8—131no—
1117C2×Q8—136no—
1118C2×Q8—1312no—
1119C2×Q8—5212no—
1120C2×Q8C23×D1313yes—
1121C2×Q8C23×D1311yescharacteristic
1122C2×Q8C23×D1311yescharacteristic
1123C2×D4—212no—
1124C2×D4—224no—
1125C2×D4—212no—
1126C2×D4—412no—
1127C2×D4—136no—
1128C2×D4—136no—
1129C2×D4—136no—
1130C2×D4—136no—
1131C2×D4—136no—
1132C2×D4—1312no—
1133C2×D4—1312no—
1134C2×D4—1312no—
1135C2×D4—133no—
1136C2×D4—136no—
1137C2×D4—2624no—
1138C2×D4—2612no—
1139C2×D4—5212no—
1140C2×D4—5212no—
1141C2×D4—5212no—
1142C2×D4C23×D1316yes—
1143C2×D4C23×D1316yes—
1144C2×D4C23×D1316yes—
1145C2×D4C23×D1313yes—
1146C2×D4C23×D1313yes—
1147C2×D4C23×D1316yes—
1148C2×D4C23×D1316yes—
1149C2×D4C23×D13112yes—
1150C2×D4C23×D1313yes—
1151C22×C4—212no—
1152C22×C4—131no—
1153C22×C4—131no—
1154C22×C4—133no—
1155C22×C4—133no—
1156C22×C4—133no—
1157C22×C4—133no—
1158C22×C4—133no—
1159C22×C4—133no—
1160C22×C4—133no—
1161C22×C4—136no—
1162C22×C4—133no—
1163C22×C4—133no—
1164C22×C4—133no—
1165C22×C4—136no—
1166C22×C4—136no—
1167C22×C4—1312no—
1168C22×C4—136no—
1169C22×C4—136no—
1170C22×C4—136no—
1171C22×C4—1312no—
1172C22×C4—2612no—
1173C22×C4—5212no—
1174C22×C4—5212no—
1175C22×C4—526no—
1176C22×C4C23×D1311yescharacteristic
1177C22×C4C23×D1313yes—
1178C22×C4C23×D1313yes—
1179C22×C4C23×D1313yes—
1180C22×C4C23×D1313yes—
1181C22×C4C23×D1316yes—
1182C22×C4C23×D1316yes—
1183C22×C4C23×D1313yes—
1184C4⋊C4—133no—
1185C4⋊C4—136no—
1186C4⋊C4—133no—
1187C4⋊C4—136no—
1188C4⋊C4—136no—
1189C4⋊C4—136no—
1190C4⋊C4—133no—
1191C4⋊C4—133no—
1192C4⋊C4—133no—
1193C4⋊C4—136no—
1194C4⋊C4—136no—
1195C4⋊C4—1312no—
1196C4⋊C4—132no—
1197C4⋊C4—131no—
1198C4⋊C4—132no—
1199C4⋊C4—132no—
1200C4⋊C4—132no—
1201C4⋊C4—132no—
1202C4⋊C4—132no—
1203C4⋊C4—136no—
1204C4⋊C4—136no—
1205C4⋊C4—136no—
1206C4⋊C4—136no—
1207C4⋊C4—136no—
1208C4⋊C4C23×D1316yes—
1209C4⋊C4C23×D1313yes—
1210C4⋊C4C23×D1312yes—
1211C4⋊C4C23×D1316yes—
1212C4⋊C4C23×D1311yescharacteristic
1213C22⋊C4—136no—
1214C22⋊C4—136no—
1215C22⋊C4—136no—
1216C22⋊C4—136no—
1217C22⋊C4—1312no—
1218C22⋊C4—136no—
1219C22⋊C4—136no—
1220C22⋊C4—136no—
1221C22⋊C4—132no—
1222C22⋊C4—136no—
1223C22⋊C4—136no—
1224C22⋊C4—136no—
1225C22⋊C4—136no—
1226C22⋊C4—136no—
1227C22⋊C4—1312no—
1228C22⋊C4—136no—
1229C22⋊C4—1312no—
1230C22⋊C4—136no—
1231C22⋊C4—136no—
1232C22⋊C4—136no—
1233C22⋊C4C23×D1316yes—
1234C22⋊C4C23×D1316yes—
1235C22⋊C4C23×D13112yes—
1236C22⋊C4C23×D1312yes—
1237C22⋊C4C23×D1316yes—
1238C22⋊C4C23×D1316yes—
1239C42—131no—
1240C42—131no—
1241C42—133no—
1242C42—131no—
1243C42—131no—
1244C42—133no—
1245C42—132no—
1246C42—132no—
1247C42—133no—
1248C42—133no—
1249C42—133no—
1250C42—133no—
1251C42—133no—
1252C42—133no—
1253C42—133no—
1254C42—133no—
1255C42—133no—
1256C42—133no—
1257C42—136no—
1258C42—136no—
1259C42—136no—
1260C42C23×D1316yes—
1261C13#6280011yescharacteristic, complemented, Sylow
1262C23—26no—
1263C23—26no—
1264C23—212no—
1265C23—43no—
1266C23—46no—
1267C23—46no—
1268C23—136no—
1269C23—2612no—
1270C23—526no—
1271C23—526no—
1272C23C24×D1316yes—
1273C23C24×D1313yes—
1274C23C24×D1313yes—
1275C23C24×D1311yescharacteristic
1276Q8—26no—
1277Q8—22no—
1278Q8—2612no—
1279Q8—264no—
1280Q8—262no—
1281Q8—5212no—
1282Q8C2×#612914yescomplemented
1283D4—212no—
1284D4—212no—
1285D4—212no—
1286D4—212no—
1287D4—26no—
1288D4—26no—
1289D4—412no—
1290D4—46no—
1291D4—2612no—
1292D4—2612no—
1293D4—2612no—
1294D4—2612no—
1295D4—2612no—
1296D4—266no—
1297D4—5212no—
1298D4—5212no—
1299D4—5212no—
1300D4—526no—
1301D4C2×#6129112yescomplemented
1302C2×C4—26no—
1303C2×C4—22no—
1304C2×C4—26no—
1305C2×C4—26no—
1306C2×C4—26no—
1307C2×C4—212no—
1308C2×C4—46no—
1309C2×C4—134no—
1310C2×C4—131no—
1311C2×C4—131no—
1312C2×C4—131no—
1313C2×C4—131no—
1314C2×C4—133no—
1315C2×C4—132no—
1316C2×C4—132no—
1317C2×C4—133no—
1318C2×C4—133no—
1319C2×C4—133no—
1320C2×C4—136no—
1321C2×C4—2612no—
1322C2×C4—266no—
1323C2×C4—266no—
1324C2×C4—266no—
1325C2×C4—266no—
1326C2×C4—262no—
1327C2×C4—2612no—
1328C2×C4—266no—
1329C2×C4—266no—
1330C2×C4—266no—
1331C2×C4—2612no—
1332C2×C4—5212no—
1333C2×C4—526no—
1334C2×C4—523no—
1335C2×C4—523no—
1336C2×C4—523no—
1337C2×C4—526no—
1338C2×C4—5212no—
1339C2×C4—526no—
1340C2×C4C2×#6129112yescomplemented
1341C2×C4C24×D1311yescharacteristic
1342C2×C4C24×D1313yes—
1343C2×C4C24×D1312yes—
1344C2×C4C24×D1312yes—
1345C2×C4C24×D1316yes—
1346C2×C4C24×D1311yescharacteristic
1347C2×C4C24×D1313yes—
1348C22—21no—
1349C22—23no—
1350C22—21no—
1351C22—23no—
1352C22—23no—
1353C22—26no—
1354C22—23no—
1355C22—26no—
1356C22—23no—
1357C22—26no—
1358C22—412no—
1359C22—812no—
1360C22—266no—
1361C22—266no—
1362C22—266no—
1363C22—10412no—
1364C22C22×#612916yes—
1365C22D13×H(5,𝔽2)12yes—
1366C22C25×D1311yescharacteristic
1367C4—21no—
1368C4—22no—
1369C4—23no—
1370C4—26no—
1371C4—22no—
1372C4—132no—
1373C4—132no—
1374C4—132no—
1375C4—262no—
1376C4—263no—
1377C4—263no—
1378C4—266no—
1379C4—263no—
1380C4—261no—
1381C4—263no—
1382C4—262no—
1383C4C22×#612916yes—
1384C4C22×#612912yes—
1385C2—22no—
1386C2—26no—
1387C2—43no—
1388C2—46no—
1389C2—526no—
1390C2C23×#612911yescharacteristic
1391C2C2×D13×H(5,𝔽2)11yescharacteristic
1392C2D13×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D13
commutator, socle, cosocleC22×C13C26
FittingC13×#3488C2
hypercenter#3488D13
hypocenterC13#62800
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #13128912C2semidirect
2. #13128855C2semidirect
3. #13128833C2semidirect
4. #13128784C2semidirect
5. #13128745C2semidirect
6. #13128711C2semidirect
7. #13128649C2semidirect
8. #13128610C2semidirect
9. #13128573C2semidirect
10. #13128565C2semidirect
11. #13128505C2semidirect
12. #13128459C2semidirect
13. #13128441C2semidirect
14. #13128426C2semidirect
15. D4×#6129C2semidirect
16. #13128253C2semidirect
17. #13128249C2semidirect
18. #13128128C2semidirect
19. C2×#11719301C2semidirect
20. H(5,𝔽2)×Dic13C2semidirect
21. #13128042C2semidirect
22. C2×#41×Dic13C2semidirect
23. C13×#3488C2semidirect
27. C22×#6129C22semidirect
28. C13×#550C22semidirect
29. C13×#548C22semidirect
30. C13×#546C22semidirect
31. D42×C13C22semidirect
32. C13×#537C22semidirect
33. C13×#535C22semidirect
34. C13×#525C22semidirect
35. C2×C13×#121C22semidirect
37. #11719539C22semidirect
38. #11719539C22semidirect
39. #11719539C22semidirect
40. #11719538C22semidirect
41. #11719537C22semidirect
42. #11719535C22semidirect
43. #11719535C22semidirect
44. #11719534C22semidirect
46. #11719532C22semidirect
47. #11719532C22semidirect
50. #41×Dic13C22semidirect
51. #41×Dic13C22semidirect
52. #41×Dic13C22semidirect
53. #41×Dic13C22semidirect
54. #41×Dic13C22semidirect
55. #41×Dic13C22semidirect
56. #41×Dic13C22semidirect
57. #41×Dic13C22semidirect
58. #11719522C22semidirect
59. C2×Q8×Dic13C22semidirect
60. C2×Q8×Dic13C22semidirect
61. #11719511C22semidirect
62. #11719510C22semidirect
63. C2×#88194C22semidirect
64. C2×#88193C22semidirect
65. D4×C22⋊D13C22semidirect
66. D4×C22⋊D13C22semidirect
67. D4×C22⋊D13C22semidirect
68. #11719503C22semidirect
69. #11719503C22semidirect
70. C2×D4×Dic13C22semidirect
71. C2×D4×Dic13C22semidirect
72. C2×D4×Dic13C22semidirect
73. C2×D4×Dic13C22semidirect
74. #11719496C22semidirect
75. C2×#88184C22semidirect
76. C2×#88180C22semidirect
77. C22×C4×Dic13C22semidirect
78. #11719424C22semidirect
79. #11719423C22semidirect
80. #11719423C22semidirect
81. #11719421C22semidirect
82. #11719387C22semidirect
83. #11719386C22semidirect
84. #11719386C22semidirect
85. #11719385C22semidirect
86. #11719363C22semidirect
87. #11719354C22semidirect
88. #11719354C22semidirect
89. #11719348C22semidirect
90. #11719348C22semidirect
91. #11719346C22semidirect
92. #11719340C22semidirect
93. #11719329C22semidirect
94. #11719329C22semidirect
95. #11719329C22semidirect
96. #11719327C22semidirect
97. #11719327C22semidirect
98. #11719324C22semidirect
99. #11719324C22semidirect
100. #11719324C22semidirect
101. #11719323C22semidirect
102. #11719322C22semidirect
103. #11719321C22semidirect
104. #11719321C22semidirect
105. #11719319C22semidirect
106. #11719316C22semidirect
107. #11719316C22semidirect
108. #11719311C22semidirect
109. #11719308C22semidirect
110. #11719306C22semidirect
111. #11719305C22semidirect
112. #11719305C22semidirect
113. #11719303C22semidirect
114. #11719301C22semidirect
115. #11719301C22semidirect
116. #11719301C22semidirect
117. #11719301C22semidirect
118. #11719301C22semidirect
119. #11719301C22semidirect
120. #11719301C22semidirect
121. #11719301C22semidirect
122. #11719301C22semidirect
123. #11719301C22semidirect
124. #11719298C22semidirect
125. #11719296C22semidirect
126. #11719296C22semidirect
127. #11719296C22semidirect
128. #11719291C22semidirect
129. #11719291C22semidirect
130. #11719291C22semidirect
131. #11719279C22semidirect
132. C4×#6131C22semidirect
133. #11719274C22semidirect
134. Q8×Dic26C22semidirect
135. #11719270C22semidirect
136. #11719270C22semidirect
137. #11719268C22semidirect
138. #11719260C22semidirect
139. #11719250C22semidirect
140. C4×D4×D13C22semidirect
141. #11719244C22semidirect
142. #11719243C22semidirect
143. #11719243C22semidirect
144. D4×Dic26C22semidirect
145. C4×#6129C22semidirect
146. C4×#6129C22semidirect
147. #11719227C22semidirect
148. #11719226C22semidirect
149. #11719224C22semidirect
150. #11719222C22semidirect
151. #11719209C22semidirect
152. C2×#88147C22semidirect
153. #11719205C22semidirect
154. C2×#88142C22semidirect
155. #11719200C22semidirect
156. C2×#88139C22semidirect
157. C2×#88135C22semidirect
411. C13×#41#41semidirect
577. #3488D13semidirect
605. Q8×C13C2×#41semidirect
614. D4×C13C2×#41semidirect
622. C2×C4×C13C2×#41semidirect
653. C2×Dic13H(5,𝔽2)semidirect
701. #550C2×D13semidirect
705. #548C2×D13semidirect
714. #546C2×D13semidirect
718. D42C2×D13semidirect
732. #537C2×D13semidirect
736. #535C2×D13semidirect
770. #525C2×D13semidirect
773. C2×#121C2×D13semidirect
1113. #41#6129semidirect
1261. C13#62800semidirect
1282. Q8C2×#6129semidirect
1301. D4C2×#6129semidirect
1340. C2×C4C2×#6129semidirect

Maximal subgroups

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

subgroupindex
#131289122
#131288552
#131288332
#131287842
#131287452
#131287112
#131286492
#131286102
#131285732
#131285652
#131285052
#131284592
#131284412
#131284262
D4×#61292
#131282532
#131282492
#131281282
C2×#117193012
H(5,𝔽2)×Dic132
#131280422
C2×#41×Dic132
C13×#34882
#6280013