Finite Group Databasebeta

← #16808329

Subgroups — #16808329

Order 3328.

2814 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#88240C211yesmaximal, characteristic, complemented
2C2×D13⋊#131C211yesmaximal, characteristic, complemented
3#13131581C213yesmaximal, complemented
4#13131575C213yesmaximal, complemented
5#13131571C213yesmaximal, complemented
6#13131566C213yesmaximal, complemented
7#13131560C213yesmaximal, complemented
8#13131552C213yesmaximal, complemented
9#13131550C213yesmaximal, complemented
10D4×D13⋊C8C213yesmaximal, complemented
11#13131484C211yesmaximal, characteristic, complemented
12#13131427C211yesmaximal, characteristic, complemented
13#13131425C211yesmaximal, characteristic, complemented
14C4×#88240C211yesmaximal, characteristic, complemented
15#13128325C211yesmaximal, characteristic
16C2×#41×D13C2211yescharacteristic
17C22×#6131C2211yescharacteristic
18D13⋊#131—28no—
19C2×#88240—28no—
20C2×#88240C2211yescharacteristic
21C2×#88240C2211yescharacteristic
22C2×#88240C2211yescharacteristic
23C2×#88240C2211yescharacteristic
24C2×#88240C2213yescomplemented
25C2×#88240C2213yescomplemented
26C2×#88238C2213yescomplemented
27C2×#88238C2213yescomplemented
28C2×D13⋊M16C2213yescomplemented
29C22×#6118C2213yescomplemented
30C22×D13⋊C8C2213yescomplemented
31C22×D13⋊C8C2213yescomplemented
32C13×#548C411yescharacteristic
33#11719539C411yescharacteristic
34Q8×C22⋊D13C411yescharacteristic
35#11719381C413yes—
36#11719373C2213yes—
37#11719336C413yes—
38#11719332C2213yes—
39#11719314C413yes—
40#11719311C2213yes—
41#11719281C411yescharacteristic
42C4×#6131C2211yescharacteristic
43#11719255C413yes—
44C4×D4×D13C2213yes—
45#11719159C2213yescomplemented
46#11719159C2213yescomplemented
47#11719147C2213yescomplemented
48#11719147C2213yescomplemented
49#11719144C2216yescomplemented
50D4×#1057C2213yescomplemented
51D4×#1057C2213yescomplemented
52#11719127C2213yescomplemented
53#11719127C2213yescomplemented
54D13⋊(C22⋊C8)C2213yescomplemented
55D13⋊(C22⋊C8)C2213yescomplemented
56#11719079C2213yescomplemented
57#11719079C2213yescomplemented
58#11719075C2216yescomplemented
59#11719073C2213yescomplemented
60#11719073C2213yescomplemented
61#11719072C2213yescomplemented
62#11719072C2213yescomplemented
63#11719066C2216yescomplemented
64#11719066C2216yescomplemented
65#11719065C2216yescomplemented
66#11719064C2216yescomplemented
67#11719063C2211yescharacteristic
68#11719063C2213yes—
69#11719063C2213yescomplemented
70#11719063C2213yescomplemented
71#11719063C2216yescomplemented
72#11719053C2213yescomplemented
73D13⋊(C4⋊C8)C2213yescomplemented
74C4×#6118C2213yescomplemented
75C4×D13⋊C8C2213yescomplemented
76C2×C13×#41C2×C411yescharacteristic
77C22×Q8×C13C2×C411yescharacteristic
78#41×D13—24no—
79#41×D13—24no—
80C2×#6131—24no—
81C2×#6131—24no—
82C2×#6131C2×C411yescharacteristic
83C2×#6131C2×C413yes—
84C2×#6131C2313yes—
85C2×#6131C2311yescharacteristic
86C2×Q8×D13C2×C411yescharacteristic
87C2×#6129C2313yes—
88C2×D4×D13C2×C413yes—
89C2×D4×D13C2×C413yes—
90C2×#6127C2×C413yes—
91C22×D52C2×C413yes—
92C22×C4×D13C2313yes—
93C22×C4×D13C2313yes—
94C2×#6122C2316yes—
95C22×#1057C2311yescharacteristic
96C22×#1057C2313yes—
97C22×#1057C2313yes—
98C22×#1057C2313yes—
99#88240—24no—
100#88240—24no—
101#88240—24no—
102#88240—212no—
103#88240—212no—
104#88240D418yescomplemented
105#88238—212no—
106#88238—212no—
107D13⋊M16—212no—
108C2×#6118—212no—
109C2×#6118C2313yes—
110C2×#6118C2313yes—
111C2×#6118C2313yes—
112C2×#6118C2316yes—
113C2×#6118C2313yes—
114C2×D13⋊C8—212no—
115C2×D13⋊C8—212no—
116C2×D13⋊C8C2313yes—
117C2×D13⋊C8C2313yes—
118C2×D13⋊C8C2313yes—
119C2×D13⋊C8C2311yescharacteristic
120C2×D13⋊C8C2313yes—
121C2×D13⋊C8C2313yes—
122C2×D13⋊C8C2313yes—
123C2×D13⋊C8C2313yes—
124C13×#124C2×C413yes—
125C13×C22⋊Q8C2×C413yes—
126C13×#121C2×C413yes—
127C4×Q8×C13C2×C411yescharacteristic
128C4×D4×C13C2×C413yes—
129#88200C2×C413yes—
130Q8×Dic13C2×C411yescharacteristic
131#88198C2×C413yes—
132#88194C2×C413yes—
133#88192C2×C413yes—
134#88191C2×C416yes—
135D4×Dic13C2313yes—
136#88184C2×C413yes—
137C4×C22⋊D13C2×C413yes—
138C4×C22⋊D13C2×C413yes—
139#88178C2×C413yes—
140#88151C2×C413yes—
141#88149C2×C413yes—
142#88148C2×C416yes—
143#88147C2×C413yes—
144#88147C2313yes—
145#88146C2313yes—
146C4⋊C4×D13C2×C413yes—
147#88138C2×C416yes—
148#88138C2×C416yes—
149#88137C2×C416yes—
150#88136C2×C416yes—
151#88135C2311yescharacteristic
152#88135C2313yes—
153#88135C2316yes—
154C22⋊C4×D13C2×C413yes—
155C22⋊C4×D13C2×C413yes—
156#88129C2×C413yes—
157C4×D52C2×C413yes—
158C4×D52C2×C413yes—
159C42×D13C2313yes—
160C22⋊#1057C2311yescharacteristic
161C22⋊#1057C2313yes—
162C22⋊#1057C2316yes—
163C22⋊#1057C2313yes—
164C22⋊#1057C2313yes—
165#88112C2311yescharacteristic
166#88112C2313yes—
167#88112C2316yes—
168#88111C2311yescharacteristic
169#88111C2313yes—
170#88111C2313yes—
171#88111C2316yes—
172#88111C2313yes—
173#88110C2316yes—
174C4⋊#1057C2313yes—
175C4⋊#1057C2313yes—
176C4×#1057C2311yescharacteristic
177C4×#1057C2313yes—
178C4×#1057C2313yes—
179C4×#1057C2313yes—
180D4×#131—131nomaximal, Sylow
181C23×D13C22×C413yes—
182C23×D13C22×C413yes—
183C13×#41—24no—
184C2×Q8×C13—24no—
185C2×Q8×C13C22×C413yes—
186C2×Q8×C13C22×C411yescharacteristic
187C2×D4×C13C22×C413yes—
188C2×D4×C13C22×C413yes—
189C22×C4×C13C22×C413yes—
190C22×C4×C13C22×C413yes—
191C2×C22⋊D13C22×C413yes—
192C2×C22⋊D13C22×C416yes—
193C2×C22⋊D13C22×C416yes—
194C2×C22⋊D13C22×C411yescharacteristic
195C22×Dic13C2413yes—
196C22×Dic13C2411yescharacteristic
197#6131—24no—
198#6131—212no—
199#6131—26no—
200#6131—26no—
201#6131C2×D414yes—
202#6131#4114yes—
203Q8×D13—24no—
204#6129—26no—
205#6129—26no—
206D4×D13—212no—
207D4×D13—212no—
208#6127—212no—
209C2×D52—212no—
210C2×D52C22×C413yes—
211C2×D52C22×C413yes—
212C2×D52C22×C416yes—
213C2×D52C22×C413yes—
214C2×C4×D13—26no—
215C2×C4×D13—26no—
216C2×C4×D13—26no—
217C2×C4×D13—26no—
218C2×C4×D13C22×C413yes—
219C2×C4×D13C22×C413yes—
220C2×C4×D13C22×C413yes—
221C2×C4×D13C22×C413yes—
222C2×C4×D13C22×C413yes—
223C2×C4×D13C22×C413yes—
224C2×C4×D13C2413yes—
225C2×C4×D13C2411yescharacteristic
226C2×C4×D13C2413yes—
227C2×Dic26C22×C413yes—
228#6122—212no—
229C2×#1057—22no—
230C2×#1057—26no—
231C2×#1057—26no—
232C2×#1057—26no—
233C2×#1057C2411yescharacteristic
234C2×#1057C2413yes—
235C2×#1057C2411yescharacteristic
236C2×#1057C2411yescharacteristic
237C2×#1057C2413yes—
238C2×#1057C2413yes—
239C2×#1057C2411yescharacteristic
240C2×#1057C2413yes—
241#6118—26no—
242#6118—26no—
243#6118—26no—
244#6118—212no—
245#6118C2×D4112yescomplemented
246D13⋊C8—26no—
247D13⋊C8—26no—
248D13⋊C8—26no—
249D13⋊C8—22no—
250D13⋊C8—26no—
251D13⋊C8—26no—
252D13⋊C8—26no—
253D13⋊C8C2×D4112yescomplemented
254C13×C4⋊C4C22×C413yes—
255C13×C4⋊C4C22×C413yes—
256C13×C22⋊C4C22×C411yescharacteristic
257C13×C22⋊C4C22×C413yes—
258C13×C22⋊C4C22×C416yes—
259C42×C13C22×C413yes—
260C22⋊Dic13C22×C413yes—
261C22⋊Dic13C22×C413yes—
262#6103C22×C411yescharacteristic
263#6103C22×C413yes—
264#6103C22×C416yes—
265#6103C22×C416yes—
266#6103C22×C413yes—
267#6103C22×C413yes—
268C4⋊Dic13C22×C413yes—
269C4⋊Dic13C22×C413yes—
270#6101C22×C416yes—
271#6101C22×C413yes—
272#6101C22×C411yescharacteristic
273C4×Dic13C22×C413yes—
274C4×Dic13C2411yescharacteristic
275C4×Dic13C2413yes—
276C22×#131—131no—
277C22×#131—131no—
278D4×#41—131no—
279#2935—133no—
280D4×M16—133no—
281#2933—133no—
282#2933—133no—
283#2931—133no—
284#2929—133no—
285#2929—133no—
286C2×C8×D4—133no—
287#2906—131no—
288#2880—131no—
289#2880—131no—
290C4×#131—131no—
291C23×C13C23×C413yes—
292C23×C13C23×C411yescharacteristic
293C22×D13—26no—
294C22×D13—26no—
295C22×D13—26no—
296C22×D13—26no—
297C22×D13—43no—
298C22×D13—43no—
299C22×D13C23×C413yes—
300C22×D13C23×C413yes—
301C22×D13C23×C411yescharacteristic
302Q8×C13—26no—
303Q8×C13C4×D414yes—
304D4×C13—26no—
305D4×C13—26no—
306C2×C4×C13—26no—
307C2×C4×C13—26no—
308C2×C4×C13C23×C413yes—
309C2×C4×C13C23×C411yescharacteristic
310C2×C4×C13C23×C413yes—
311C2×C4×C13C23×C411yescharacteristic
312C2×C4×C13C23×C413yes—
313C22⋊D13—212no—
314C22⋊D13—26no—
315C22⋊D13—46no—
316C22⋊D13#13114yescomplemented
317C2×Dic13—21no—
318C2×Dic13—23no—
319C2×Dic13—21no—
320C2×Dic13—23no—
321C2×Dic13C23×C413yes—
322C2×Dic13C23×C413yes—
323C2×Dic13C23×C411yescharacteristic
324C2×Dic13C23×C411yescharacteristic
325C2×Dic13C2511yescharacteristic
326D52—212no—
327D52—26no—
328D52—26no—
329D52C4×D4112yes—
330C4×D13—26no—
331C4×D13—26no—
332C4×D13—26no—
333C4×D13—26no—
334C4×D13—26no—
335C4×D13—21no—
336C4×D13—23no—
337C4×D13—21no—
338C4×D13—23no—
339C4×D13—43no—
340C4×D13C22×D416yes—
341C4×D13C2×#4116yes—
342Dic26—26no—
343#1057—21no—
344#1057—21no—
345#1057—23no—
346#1057—23no—
347#1057—21no—
348#1057—23no—
349#1057C22×D412yes—
350#1057C22×D416yes—
351C22×#41—131no—
352C22×#41—131no—
353C2×#131—131no—
354C2×#131—131no—
355C2×#131—131no—
356C2×#131—131no—
357C2×#131—133no—
358C2×#131—133no—
359C2×#131—133no—
360C2×#131—133no—
361C2×#131—268no—
362C2×#131—268no—
363C22×M16—133no—
364C22×M16—133no—
365C23×C8—133no—
366C23×C8—133no—
367#550—131no—
368D4×Q8—131no—
369#548—131no—
370#548#26111yescharacteristic
371#547—133no—
372#546—133no—
373#546—133no—
374D42—133no—
375#532—133no—
376#525—133no—
377#525—133no—
378C4×#41—131no—
379C2×C4×D4—133no—
380#436—136no—
381#436—136no—
382#435—136no—
383#435—136no—
384#435—136no—
385#435—136no—
386C8×D4—131no—
387C8×D4—133no—
388C8×D4—133no—
389C8×D4—133no—
390C8×D4—133no—
391C8×D4—133no—
392C8×D4—133no—
393C8×D4—133no—
394C8×D4—136no—
395#424—133no—
396#424—133no—
397#423—133no—
398C2×C4⋊C8—133no—
399#408—133no—
400#408—133no—
401#408—133no—
402#408—133no—
403#407—133no—
404#407—133no—
405C2×C22⋊C8—133no—
406C2×C22⋊C8—133no—
407#405—133no—
408#405—133no—
409C4×M16—133no—
410C2×C4×C8—133no—
411C22×C13—21no—
412C22×C13—21no—
413C22×C13—23no—
414C22×C13—23no—
415C22×C13—23no—
416C22×C13C2×#13112yescomplemented
417C22×C13C24×C411yescharacteristic
418C2×D13—21no—
419C2×D13—23no—
420C2×D13—23no—
421C2×D13—21no—
422C2×D13—23no—
423C2×D13—23no—
424C2×D13—23no—
425C2×D13—412no—
426C2×D13—412no—
427C2×D13C2×C4×D416yes—
428C2×D13C2×#13112yescomplemented
429C4×C13—21no—
430C4×C13—23no—
431C4×C13—23no—
432C4×C13—21no—
433C4×C13C2×C4×D416yes—
434Dic13—23no—
435Dic13—21no—
436Dic13—23no—
437Dic13C2×#13112yescomplemented
438Dic13C23×D411yescharacteristic
439Dic13C22×#4111yescharacteristic
440C2×#41—131no—
441C2×#41—133no—
442C2×#41—133no—
443C2×#41—131no—
444C2×#41—133no—
445C2×#41—133no—
446C2×#41—264no—
447C2×#41—264no—
448C2×#41—264no—
449C2×#41—264no—
450C2×#41C2×#26111yescharacteristic
451C22×Q8—131no—
452C22×Q8C2×#26111yescharacteristic
453C22×D4—133no—
454C22×D4—133no—
455C22×D4—133no—
456C23×C4—133no—
457C23×C4—133no—
458#131—138no—
459#131—2612no—
460#131—2612no—
461#131—2612no—
462#131—2612no—
463#131—264no—
464#131—264no—
465#131—264no—
466C2×M16—133no—
467C2×M16—133no—
468C2×M16—133no—
469C2×M16—136no—
470C2×M16—136no—
471C2×M16—133no—
472C2×M16—2612no—
473C2×M16—2612no—
474C22×C8—133no—
475C22×C8—131no—
476C22×C8—131no—
477C22×C8—133no—
478C22×C8—133no—
479C22×C8—133no—
480C22×C8—133no—
481C22×C8—133no—
482C22×C8—133no—
483C22×C8—133no—
484C22×C8—133no—
485C22×C8—133no—
486C22×C8—2612no—
487C22×C8—2612no—
488C4⋊Q8—133no—
489#127—133no—
490#124—133no—
491#124C2×#26113yes—
492#123—136no—
493#123—136no—
494C22⋊Q8—133no—
495C22⋊Q8—133no—
496C22⋊Q8—133no—
497C22⋊Q8C2×#26113yes—
498#121—133no—
499#121—133no—
500#121—133no—
501#121—136no—
502#121—136no—
503#121C2×#26113yes—
504#120—136no—
505#120—136no—
506C4×Q8—131no—
507C4×Q8C2×#26111yescharacteristic
508C4×D4—133no—
509C4×D4—133no—
510C4×D4—133no—
511C4×D4—133no—
512C4×D4—133no—
513C4×D4—131no—
514C4×D4—133no—
515C4×D4—136no—
516C4×D4—133no—
517C4×D4—133no—
518C4×D4C2×#26113yes—
519#117—133no—
520C2×C4⋊C4—133no—
521C2×C22⋊C4—133no—
522C2×C22⋊C4—133no—
523C2×C42—133no—
524C4⋊C8—133no—
525C4⋊C8—133no—
526C4⋊C8—131no—
527C4⋊C8—133no—
528C4⋊C8—136no—
529C22⋊C8—131no—
530C22⋊C8—133no—
531C22⋊C8—133no—
532C22⋊C8—133no—
533C22⋊C8—136no—
534C22⋊C8—131no—
535C22⋊C8—133no—
536C22⋊C8—133no—
537C22⋊C8—133no—
538C22⋊C8—136no—
539#97—136no—
540C4×C8—131no—
541C4×C8—133no—
542C4×C8—133no—
543C4×C8—133no—
544C2×C13—22no—
545C2×C13—43no—
546C2×C13C22×C4×D411yescharacteristic
547C2×C13C22×#13111yescharacteristic
548C2×C13#357311yescharacteristic
549D13—22no—
550D13—26no—
551D13—43no—
552C24—133no—
553C24—133no—
554#41—24no—
555#41—134no—
556#41—134no—
557#41—2612no—
558#41—266no—
559#41—266no—
560#41—266no—
561#41—266no—
562#41—2612no—
563#41—264no—
564C2×Q8—24no—
565C2×Q8—133no—
566C2×Q8—264no—
567C2×Q8C22×#26113yes—
568C2×Q8C22×#26111yescharacteristic
569C2×D4—131no—
570C2×D4—133no—
571C2×D4—136no—
572C2×D4—136no—
573C2×D4—133no—
574C2×D4—133no—
575C2×D4—136no—
576C2×D4—133no—
577C2×D4—2612no—
578C2×D4—2612no—
579C2×D4—2612no—
580C2×D4C22×#26113yes—
581C2×D4C22×#26113yes—
582C22×C4—133no—
583C22×C4—131no—
584C22×C4—133no—
585C22×C4—131no—
586C22×C4—133no—
587C22×C4—133no—
588C22×C4—133no—
589C22×C4—133no—
590C22×C4—133no—
591C22×C4—133no—
592C22×C4—133no—
593C22×C4—266no—
594C22×C4—266no—
595C22×C4—266no—
596C22×C4—266no—
597C22×C4C22×#26113yes—
598C22×C4C22×#26113yes—
599M16—1312no—
600M16—2612no—
601M16—2612no—
602M16—266no—
603M16—266no—
604M16—266no—
605C2×C8—131no—
606C2×C8—133no—
607C2×C8—1312no—
608C2×C8—131no—
609C2×C8—133no—
610C2×C8—131no—
611C2×C8—131no—
612C2×C8—133no—
613C2×C8—133no—
614C2×C8—262no—
615C2×C8—262no—
616C2×C8—266no—
617C2×C8—266no—
618C2×C8—266no—
619C2×C8—266no—
620C2×C8—266no—
621C2×C8—266no—
622C2×C8—266no—
623C2×C8—266no—
624C2×C8—266no—
625C4⋊C4—131no—
626C4⋊C4—133no—
627C4⋊C4—133no—
628C4⋊C4—133no—
629C4⋊C4—136no—
630C4⋊C4C22×#26113yes—
631C4⋊C4C22×#26113yes—
632C22⋊C4—133no—
633C22⋊C4—133no—
634C22⋊C4—131no—
635C22⋊C4—133no—
636C22⋊C4—133no—
637C22⋊C4—133no—
638C22⋊C4—136no—
639C22⋊C4—136no—
640C22⋊C4C22×#26111yescharacteristic
641C22⋊C4C22×#26113yes—
642C22⋊C4C22×#26116yes—
643C42—131no—
644C42—133no—
645C42—133no—
646C42C22×#26113yes—
647C13D4×#13111yescharacteristic, complemented, Sylow
648C23—131no—
649C23—133no—
650C23—133no—
651C23—266no—
652C23—266no—
653C23—266no—
654C23—266no—
655C23—523no—
656C23—523no—
657C23C23×#26113yes—
658C23C23×#26111yescharacteristic
659Q8—26no—
660Q8—266no—
661Q8D4×#26114yes—
662D4—26no—
663D4—26no—
664D4—134no—
665D4—1312no—
666D4—266no—
667D4—2612no—
668D4—266no—
669D4—2612no—
670D4—266no—
671D4—526no—
672C2×C4—26no—
673C2×C4—26no—
674C2×C4—131no—
675C2×C4—131no—
676C2×C4—136no—
677C2×C4—136no—
678C2×C4—133no—
679C2×C4—131no—
680C2×C4—133no—
681C2×C4—261no—
682C2×C4—263no—
683C2×C4—261no—
684C2×C4—263no—
685C2×C4—266no—
686C2×C4—266no—
687C2×C4—266no—
688C2×C4—261no—
689C2×C4—263no—
690C2×C4—261no—
691C2×C4—263no—
692C2×C4—266no—
693C2×C4—266no—
694C2×C4—523no—
695C2×C4C23×#26111yescharacteristic
696C2×C4C23×#26113yes—
697C2×C4C23×#26111yescharacteristic
698C2×C4C23×#26113yes—
699C2×C4C23×#26113yes—
700C8—132no—
701C8—136no—
702C8—261no—
703C8—261no—
704C8—261no—
705C8—263no—
706C8—263no—
707C8—263no—
708C22—21no—
709C22—21no—
710C22—23no—
711C22—23no—
712C22—23no—
713C22—136no—
714C22—132no—
715C22—261no—
716C22—263no—
717C22—263no—
718C22—261no—
719C22—263no—
720C22—263no—
721C22—263no—
722C22—5212no—
723C22—5212no—
724C22D13⋊#13112yescomplemented
725C22C24×#26111yescharacteristic
726C4—21no—
727C4—23no—
728C4—23no—
729C4—21no—
730C4—131no—
731C4—131no—
732C4—132no—
733C4—261no—
734C4—263no—
735C4—263no—
736C4C2×D4×#26116yes—
737C2—22no—
738C2—43no—
739C2—262no—
740C2—266no—
741C2—523no—
742C2C22×D4×#26111yescharacteristic
743C2C2×D13⋊#13111yescharacteristic
744C2#1313183211yescharacteristic
subgroupG/H
center, FrattiniC22C24×#261
commutator, socleC22×C13C24×C4
FittingC13×#548C4
prime radical#13128325C2
cosocleC2×Dic13C25
hypercenter#548#261
hypocenterC13D4×#131
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #548

Complements

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

NH ≅ G/Ntype
1. C22×#88240C2semidirect
2. C2×D13⋊#131C2semidirect
3. #13131581C2semidirect
4. #13131575C2semidirect
5. #13131571C2semidirect
6. #13131566C2semidirect
7. #13131560C2semidirect
8. #13131552C2semidirect
9. #13131550C2semidirect
10. D4×D13⋊C8C2semidirect
11. #13131484C2semidirect
12. #13131427C2semidirect
13. #13131425C2semidirect
14. C4×#88240C2semidirect
24. C2×#88240C22semidirect
25. C2×#88240C22semidirect
26. C2×#88238C22semidirect
27. C2×#88238C22semidirect
28. C2×D13⋊M16C22semidirect
29. C22×#6118C22semidirect
30. C22×D13⋊C8C22semidirect
31. C22×D13⋊C8C22semidirect
45. #11719159C22semidirect
46. #11719159C22semidirect
47. #11719147C22semidirect
48. #11719147C22semidirect
49. #11719144C22semidirect
50. D4×#1057C22semidirect
51. D4×#1057C22semidirect
52. #11719127C22semidirect
53. #11719127C22semidirect
54. D13⋊(C22⋊C8)C22semidirect
55. D13⋊(C22⋊C8)C22semidirect
56. #11719079C22semidirect
57. #11719079C22semidirect
58. #11719075C22semidirect
59. #11719073C22semidirect
60. #11719073C22semidirect
61. #11719072C22semidirect
62. #11719072C22semidirect
63. #11719066C22semidirect
64. #11719066C22semidirect
65. #11719065C22semidirect
66. #11719064C22semidirect
69. #11719063C22semidirect
70. #11719063C22semidirect
71. #11719063C22semidirect
72. #11719053C22semidirect
73. D13⋊(C4⋊C8)C22semidirect
74. C4×#6118C22semidirect
75. C4×D13⋊C8C22semidirect
104. #88240D4semidirect
245. #6118C2×D4semidirect
253. D13⋊C8C2×D4semidirect
316. C22⋊D13#131semidirect
416. C22×C13C2×#131semidirect
428. C2×D13C2×#131semidirect
437. Dic13C2×#131semidirect
647. C13D4×#131semidirect
724. C22D13⋊#131semidirect

Maximal subgroups

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

subgroupindex
C22×#882402
C2×D13⋊#1312
#131315812
#131315752
#131315712
#131315662
#131315602
#131315522
#131315502
D4×D13⋊C82
#131314842
#131314272
#131314252
C4×#882402
#131283252
D4×#13113