Finite Group Databasebeta

← #15879402

Subgroups — #15879402

Order 3328.

1262 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128394C211yesmaximal, characteristic
2D4×#6099C211yesmaximal, characteristic, complemented
3#13115813C211yesmaximal, characteristic, complemented
4#13115779C211yesmaximal, characteristic, complemented
5#13115279C212yesmaximal, complemented
6#13115136C212yesmaximal, complemented
7#13114936C212yesmaximal, complemented
8#13114857C211yesmaximal, characteristic, complemented
9C4×#88045C211yesmaximal, characteristic, complemented
10C2×#11718115C212yesmaximal, complemented
11C42×D4×C13C211yesmaximal, characteristic, complemented
12C2×C4×D4×C13—21no—
13C2×C4×D4×C13C2211yescharacteristic
14C22×C42×C13C2212yes—
15#11719511—21no—
16#11719496C2212yes—
17C2×#88180C2212yes—
18C22×#6099C2212yes—
19#11719270C412yescomplemented
20#11719268C411yescharacteristic, complemented
21#11719262—21no—
22#11719260C411yescharacteristic, complemented
23#11719248C411yescharacteristic, complemented
24#11719247C411yescharacteristic, complemented
25#11719246C412yescomplemented
26#11719243—22no—
27C4×#6129—21no—
28#11719218—21no—
29#11719200—22no—
30C4×#6127C2211yescharacteristic
31#11719175C2211yescharacteristic
32C4×C13×C4⋊C4—21no—
33C4×C13×C4⋊C4C2211yescharacteristic
34C4×C13×C22⋊C4—22no—
35C4×C13×C22⋊C4C2212yes—
36C43×C13C2211yescharacteristic
37#11718868C2212yes—
38#11718673—21no—
39#11718672—22no—
40D4×#1055—21no—
41C2×#88045C2211yescharacteristic
42C2×#88045C2211yescharacteristic
43C2×#88045C2212yes—
44#11718585C2211yescharacteristic
45C4×#6099C2211yescharacteristic
46#11718115C2212yes—
47#11718115C2212yes—
48#11718115C2211yescharacteristic
49#11718115C2211yescharacteristic
50#11718115C2212yes—
51#11718115C2212yes—
52#11718115C2212yes—
53C22×D4×C13D411yescharacteristic
54C23×C4×C13—22no—
55C23×C4×C13C2312yes—
56C2×#6129—21no—
57C2×#6127C2311yescharacteristic
58C4×D4×C13—28no—
59C4×D4×C13C2×C412yes—
60C4×D4×C13C2×C411yescharacteristic
61C4×D4×C13C2×C411yescharacteristic
62C4×D4×C13D411yescharacteristic
63C4×D4×C13D412yes—
64C4×D4×C13D411yescharacteristic
65C2×C13×C4⋊C4—21no—
66C2×C13×C4⋊C4D411yescharacteristic
67C2×C13×C22⋊C4—22no—
68C2×C13×C22⋊C4D412yes—
69C2×C42×C13—21no—
70C2×C42×C13—24no—
71C2×C42×C13—21no—
72C2×C42×C13—22no—
73C2×C42×C13—42no—
74C2×C42×C13C2311yescharacteristic
75C2×C42×C13C2312yes—
76C2×C42×C13C2311yescharacteristic
77C2×C42×C13C2311yescharacteristic
78#88207—22no—
79C2×C22⋊Dic13—22no—
80#88193—22no—
81#88192—21no—
82#88190—21no—
83#88189—22no—
84D4×Dic13—21no—
85#88184C2×C412yescomplemented
86#88184C2×C412yescomplemented
87#88183—22no—
88C4×C22⋊D13—21no—
89C4×C22⋊D13—21no—
90C4×C22⋊D13—22no—
91C4×C22⋊D13—22no—
92#88180—22no—
93#88180—22no—
94#88180C2×C412yescomplemented
95#88180C2×C412yescomplemented
96#88180C2312yes—
97#88180C2311yescharacteristic
98C2×C4⋊Dic13C2×C412yescomplemented
99C2×C4⋊Dic13C2×C412yescomplemented
100#88178—21no—
101#88178—21no—
102#88178C2×C412yescomplemented
103#88178C2×C412yescomplemented
104C2×C4×Dic13—22no—
105C2×#6099—22no—
106C2×#6099—24no—
107C2×#6099—42no—
108C2×#6099C2312yes—
109C2×#6099C2311yescharacteristic
110C2×#6099C2311yescharacteristic
111C22×#1055—22no—
112#88152—22no—
113#88151—21no—
114#88146—21no—
115#88144—21no—
116#88143—22no—
117#88141—21no—
118#88140—22no—
119#88139—22no—
120#88137—22no—
121#88135—22no—
122#88133—22no—
123#88133—22no—
124#88132—22no—
125#88131—22no—
126C4×D52C2×C411yescharacteristic, complemented
127C4×D52C2×C411yescharacteristic, complemented
128#88126—21no—
129C42×D13—21no—
130#88124C2×C412yescomplemented
131#88123C2×C411yescharacteristic, complemented
132#88123C2×C411yescharacteristic, complemented
133C4×Dic26—21no—
134C4×Dic26—21no—
135C4×Dic26C2×C411yescharacteristic, complemented
136C4×Dic26C2×C411yescharacteristic, complemented
137C13×#95—21no—
138C13×#95—22no—
139C22⋊#1055—22no—
140C22⋊#1055—22no—
141#88045—22no—
142#88045—22no—
143#88045—42no—
144C4⋊#1055—21no—
145C4⋊#1055—21no—
146#88043—21no—
147C4×#1055—21no—
148#22505—131nomaximal, Sylow
149C24×C13C2×D412yes—
150C2×D4×C13—24no—
151C2×D4×C13C22⋊C412yes—
152C2×D4×C13C22⋊C411yescharacteristic
153C2×D4×C13C22⋊C411yescharacteristic
154C22×C4×C13—21no—
155C22×C4×C13—22no—
156C22×C4×C13—22no—
157C22×C4×C13—22no—
158C22×C4×C13—22no—
159C22×C4×C13—28no—
160C22×C4×C13—21no—
161C22×C4×C13—22no—
162C22×C4×C13—44no—
163C22×C4×C13—44no—
164C22×C4×C13C22×C412yes—
165C22×C4×C13C22×C412yes—
166C22×C4×C13C2×D412yes—
167C22×C4×C13C2×D412yes—
168C22×C4×C13C2×D412yes—
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13C2×D411yescharacteristic
171C22×C4×C13C2411yescharacteristic
172C2×C22⋊D13—22no—
173C2×C22⋊D13—21no—
174C2×C22⋊D13—22no—
175C22×Dic13—22no—
176C22×Dic13—22no—
177#6129—44no—
178#6127—21no—
179#6127—21no—
180#6127—21no—
181#6127—21no—
182C2×D52C22×C411yescharacteristic
183C2×C4×D13—21no—
184C2×C4×D13—21no—
185C2×C4×D13—21no—
186C2×Dic26—21no—
187C2×Dic26—21no—
188C2×Dic26C22×C411yescharacteristic
189C13×C4⋊C4—24no—
190C13×C4⋊C4C22⋊C411yescharacteristic
191C13×C4⋊C4C22⋊C412yes—
192C13×C4⋊C4C22⋊C411yescharacteristic
193C13×C22⋊C4—28no—
194C13×C22⋊C4C22⋊C412yes—
195C13×C22⋊C4C22⋊C412yes—
196C13×C22⋊C4C22⋊C412yes—
197C13×C22⋊C4C22⋊C412yes—
198C42×C13—24no—
199C42×C13—21no—
200C42×C13—22no—
201C42×C13—21no—
202C42×C13—22no—
203C42×C13—21no—
204C42×C13—44no—
205C42×C13—42no—
206C42×C13C22×C411yescharacteristic
207C42×C13C22×C411yescharacteristic
208C42×C13C2×D411yescharacteristic
209C42×C13C2×D411yescharacteristic
210C42×C13#4112yescomplemented
211C22⋊Dic13—22no—
212C22⋊Dic13—22no—
213C22⋊Dic13—22no—
214C22⋊Dic13—22no—
215C22⋊Dic13—22no—
216C22⋊Dic13—21no—
217#6103—21no—
218#6103—21no—
219#6103—22no—
220#6103—22no—
221C4⋊Dic13—21no—
222C4⋊Dic13—21no—
223C4⋊Dic13—22no—
224C4⋊Dic13—22no—
225C4⋊Dic13C22×C411yescharacteristic
226C4⋊Dic13C22×C411yescharacteristic
227C4⋊Dic13C22×C412yes—
228C4⋊Dic13C22×C412yes—
229#6101—22no—
230#6101—22no—
231#6101—21no—
232#6101—21no—
233#6101—22no—
234#6101—22no—
235C4×Dic13—21no—
236C4×Dic13—21no—
237C4×Dic13—22no—
238C4×Dic13—22no—
239C4×Dic13—22no—
240C4×Dic13—21no—
241#6099—21no—
242#6099—22no—
243#6099—21no—
244#6099—22no—
245#6099—21no—
246#6099—44no—
247#6099#4112yescomplemented
248C2×#1055—21no—
249C2×#1055—21no—
250C2×#1055—22no—
251C2×#1055—44no—
252#3475—131no—
253D4×M16—131no—
254C42×D4D1311yescharacteristic, complemented
255#1994—131no—
256#1986—131no—
257#1896—132no—
258#1871—132no—
259#1826—132no—
260#1806—131no—
261C4×#104—131no—
262C2×#339—132no—
263C23×C13—22no—
264C23×C13—22no—
265C23×C13—24no—
266C23×C13—42no—
267C23×C13C2×C22⋊C412yes—
268C23×C13C2×C22⋊C412yes—
269C23×C13C22×D411yescharacteristic
270C22×D13—21no—
271D4×C13—24no—
272D4×C13—22no—
273D4×C13#10414yescomplemented
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—22no—
282C2×C4×C13—22no—
283C2×C4×C13—22no—
284C2×C4×C13—22no—
285C2×C4×C13—22no—
286C2×C4×C13—22no—
287C2×C4×C13—22no—
288C2×C4×C13—22no—
289C2×C4×C13—24no—
290C2×C4×C13—41no—
291C2×C4×C13—416no—
292C2×C4×C13—41no—
293C2×C4×C13—42no—
294C2×C4×C13—42no—
295C2×C4×C13—41no—
296C2×C4×C13C2×C22⋊C412yes—
297C2×C4×C13C2×C22⋊C411yescharacteristic
298C2×C4×C13C2×C22⋊C411yescharacteristic
299C2×C4×C13C2×C22⋊C412yes—
300C2×C4×C13C2×C22⋊C411yescharacteristic
301C2×C4×C13C2×C22⋊C411yescharacteristic
302C2×C4×C13C23×C411yescharacteristic
303C2×C4×C13C22×D411yescharacteristic
304C2×C4×C13C2×#4111yescharacteristic
305C2×C4×C13C2×#4111yescharacteristic
306C2×C4×C13H(5,𝔽2)11yescharacteristic
307C2×C4×C132−1+411yescharacteristic
308C22⋊D13—41no—
309C22⋊D13—41no—
310C22⋊D13—44no—
311C22⋊D13—82no—
312C2×Dic13—21no—
313C2×Dic13—21no—
314C2×Dic13—21no—
315C2×Dic13—22no—
316C2×Dic13—22no—
317C2×Dic13—44no—
318C2×Dic13—82no—
319D52—21no—
320D52—21no—
321C4×D13—41no—
322C4×D13—41no—
323C4×D13—42no—
324C4×D13—81no—
325Dic26—21no—
326Dic26—21no—
327Dic26—42no—
328Dic26—81no—
329#1055—22no—
330#1055—42no—
331#1055—41no—
332C22×M16—132no—
333#556—131no—
334#555—131no—
335#554—131no—
336#553—132no—
337#552—132no—
338#552—261no—
339#551—262no—
340#547—131no—
341#546—261no—
342#533—131no—
343#529—262no—
344#529—261no—
345#525—132no—
346C4×#41—131no—
347C4×#41—261no—
348C2×C4×D4—21no—
349C2×C4×D4C2×D1311yescharacteristic
350C2×#117—132no—
351C22×C42C2×D1312yes—
352#436—261no—
353#435—262no—
354C8×D4—261no—
355#423—131no—
356C2×#104—131no—
357C2×#104—131no—
358C2×#104—132no—
359#407—132no—
360C4×M16—131no—
361C4×C4⋊C4—21no—
362C4×C4⋊C4C2×D1311yescharacteristic
363C4×C22⋊C4—22no—
364C4×C22⋊C4C2×D1312yes—
365C43C2×D1311yescharacteristic
366#339—132no—
367#339—131no—
368#339—132no—
369#339—132no—
370#339—132no—
371#339—132no—
372#339—131no—
373C22×C13—22no—
374C22×C13—21no—
375C22×C13—22no—
376C22×C13—21no—
377C22×C13—22no—
378C22×C13—22no—
379C22×C13—22no—
380C22×C13—44no—
381C22×C13—44no—
382C22×C13C2×#10414yes—
383C22×C13C22×C22⋊C411yescharacteristic
384C22×C13#54611yescharacteristic
385C22×C13#54711yescharacteristic
386C2×D13—41no—
387C2×D13—41no—
388C2×D13—41no—
389C4×C13—24no—
390C4×C13—22no—
391C4×C13—22no—
392C4×C13—21no—
393C4×C13—21no—
394C4×C13—21no—
395C4×C13—42no—
396C4×C13—44no—
397C4×C13C2×#10412yes—
398C4×C13C4×#4111yescharacteristic
399C4×C13#52011yescharacteristic
400C4×C13#54611yescharacteristic
401C4×C13#54711yescharacteristic
402Dic13—41no—
403Dic13—42no—
404Dic13—41no—
405Dic13—42no—
406Dic13—41no—
407C2×#41—131no—
408C2×#41—261no—
409C22×D4C22⋊D1311yescharacteristic
410C23×C4—22no—
411C23×C4C22×D1312yes—
412C2×M16—131no—
413C2×M16—132no—
414C2×M16—131no—
415C2×M16—262no—
416C2×M16—264no—
417C2×M16—522no—
418C22×C8—262no—
419C4⋊Q8—131no—
420C4⋊Q8—131no—
421#126—262no—
422#126—262no—
423#126—262no—
424#125—132no—
425#125—262no—
426#125—261no—
427#124—261no—
428#124—262no—
429#123—262no—
430#123—262no—
431#123—262no—
432#123—262no—
433C22⋊Q8—132no—
434C22⋊Q8—132no—
435C22⋊Q8—261no—
436C22⋊Q8—261no—
437C22⋊Q8—261no—
438C22⋊Q8—262no—
439#121—132no—
440#121—132no—
441#121—262no—
442#121—261no—
443#120—262no—
444C4×Q8—131no—
445C4×Q8—131no—
446C4×Q8—261no—
447C4×Q8—261no—
448C4×Q8—261no—
449C4×D4—28no—
450C4×D4—131no—
451C4×D4—131no—
452C4×D4—261no—
453C4×D4—262no—
454C4×D4—262no—
455C4×D4—261no—
456C4×D4—261no—
457C4×D4—262no—
458C4×D4C4×D1311yescharacteristic
459C4×D4C4×D1312yes—
460C4×D4C4×D1311yescharacteristic
461C4×D4D5211yescharacteristic
462C4×D4D5212yes—
463C4×D4D5211yescharacteristic
464#117—132no—
465#117—132no—
466#117—131no—
467#117—132no—
468#117—262no—
469#117—262no—
470#117—261no—
471#117—262no—
472#117—261no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—132no—
475C2×C4⋊C4—132no—
476C2×C4⋊C4C22⋊D1311yescharacteristic
477C2×C22⋊C4—22no—
478C2×C22⋊C4—262no—
479C2×C22⋊C4C22⋊D1312yes—
480C2×C42—21no—
481C2×C42—24no—
482C2×C42—21no—
483C2×C42—22no—
484C2×C42—42no—
485C2×C42—262no—
486C2×C42—261no—
487C2×C42C22×D1311yescharacteristic
488C2×C42C22×D1312yes—
489C2×C42C22×D1311yescharacteristic
490C2×C42C22×D1311yescharacteristic
491C4⋊C8—261no—
492C4⋊C8—261no—
493#104—262no—
494#104—262no—
495#104—522no—
496C22⋊C8—262no—
497C22⋊C8—262no—
498#97—261no—
499C4×C8—261no—
500#95—21no—
501#95—22no—
502C2×C13—21no—
503C2×C13—21no—
504C2×C13—24no—
505C2×C13—42no—
506C2×C13#233911yescharacteristic
507C2×C13C22×#10411yescharacteristic
508C2×C13#290111yescharacteristic
509D13—81no—
510C24C2×C22⋊D1312yes—
511#41—261no—
512#41—261no—
513#41—261no—
514#41—261no—
515#41—524no—
516C2×Q8—131no—
517C2×Q8—261no—
518C2×Q8—261no—
519C2×D4—24no—
520C2×D4—131no—
521C2×D4—262no—
522C2×D4—261no—
523C2×D4—262no—
524C2×D4#610312yes—
525C2×D4#610311yescharacteristic
526C2×D4#610311yescharacteristic
527C22×C4—21no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—28no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—262no—
538C22×C4—262no—
539C22×C4—261no—
540C22×C4—261no—
541C22×C4—261no—
542C22×C4C2×C4×D1312yes—
543C22×C4C2×C4×D1312yes—
544C22×C4C2×D5212yes—
545C22×C4C2×D5212yes—
546C22×C4C2×C22⋊D1312yes—
547C22×C4C2×C22⋊D1311yescharacteristic
548C22×C4C2×C22⋊D1311yescharacteristic
549C22×C4C23×D1311yescharacteristic
550M16—132no—
551M16—261no—
552M16—261no—
553M16—262no—
554M16—262no—
555M16—261no—
556M16—524no—
557C2×C8—261no—
558C2×C8—261no—
559C2×C8—262no—
560C2×C8—524no—
561C4⋊C4—24no—
562C4⋊C4—131no—
563C4⋊C4—131no—
564C4⋊C4—132no—
565C4⋊C4—132no—
566C4⋊C4—262no—
567C4⋊C4—262no—
568C4⋊C4—261no—
569C4⋊C4—261no—
570C4⋊C4—261no—
571C4⋊C4—262no—
572C4⋊C4—262no—
573C4⋊C4—262no—
574C4⋊C4—262no—
575C4⋊C4—261no—
576C4⋊C4#610311yescharacteristic
577C4⋊C4#610311yescharacteristic
578C4⋊C4#610312yes—
579C22⋊C4—28no—
580C22⋊C4—262no—
581C22⋊C4—262no—
582C22⋊C4—262no—
583C22⋊C4—262no—
584C22⋊C4—261no—
585C22⋊C4—262no—
586C22⋊C4—261no—
587C22⋊C4—261no—
588C22⋊C4—262no—
589C22⋊C4—262no—
590C22⋊C4#610312yes—
591C22⋊C4#610312yes—
592C22⋊C4#610312yes—
593C22⋊C4#610312yes—
594C42—24no—
595C42—21no—
596C42—22no—
597C42—22no—
598C42—21no—
599C42—21no—
600C42—44no—
601C42—42no—
602C42—262no—
603C42—262no—
604C42—261no—
605C42—261no—
606C42—261no—
607C42—262no—
608C42C2×C4×D1311yescharacteristic
609C42C2×C4×D1311yescharacteristic
610C42C2×D5211yescharacteristic
611C42C2×D5211yescharacteristic
612C42#612912yescomplemented
613C13#2250511yescharacteristic, complemented, Sylow
614C23—22no—
615C23—22no—
616C23—24no—
617C23—42no—
618C23—261no—
619C23C2×#610312yes—
620C23C2×#610312yes—
621C23C22×C22⋊D1311yescharacteristic
622Q8—261no—
623Q8—261no—
624Q8—522no—
625Q8—1041no—
626D4—24no—
627D4—22no—
628D4—261no—
629D4—261no—
630D4—521no—
631D4—521no—
632D4—524no—
633D4—1042no—
634D4#8804514yescomplemented
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—41no—
652C2×C4—416no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—261no—
658C2×C4—261no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—261no—
662C2×C4—524no—
663C2×C4—521no—
664C2×C4—521no—
665C2×C4—522no—
666C2×C4—1041no—
667C2×C4—1042no—
668C2×C4C2×#610312yes—
669C2×C4C2×#610311yescharacteristic
670C2×C4C2×#610311yescharacteristic
671C2×C4C2×#610311yescharacteristic
672C2×C4C2×#610312yes—
673C2×C4C2×#610311yescharacteristic
674C2×C4C22×C4×D1311yescharacteristic
675C2×C4C22×D5211yescharacteristic
676C2×C4C2×#612911yescharacteristic
677C2×C4#8825111yescharacteristic
678C2×C4#41×D1311yescharacteristic
679C2×C4#8825711yescharacteristic
680C8—262no—
681C8—522no—
682C8—521no—
683C22—21no—
684C22—21no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—44no—
691C22—44no—
692C22—521no—
693C22—521no—
694C22—521no—
695C22C2×#8804514yes—
696C22C22×#610311yescharacteristic
697C22#1171951111yescharacteristic
698C22#1171952911yescharacteristic
699C4—24no—
700C4—21no—
701C4—21no—
702C4—21no—
703C4—22no—
704C4—22no—
705C4—42no—
706C4—44no—
707C4—521no—
708C4—522no—
709C4—521no—
710C4—522no—
711C4—521no—
712C4C2×#8804512yes—
713C4C4×#612911yescharacteristic
714C4#1171925111yescharacteristic
715C4#1171925911yescharacteristic
716C4#1171926011yescharacteristic
717C2—21no—
718C2—21no—
719C2—24no—
720C2—42no—
721C2—1041no—
722C2#1311766111yescharacteristic
723C2C22×#8804511yescharacteristic
724C2#1312338411yescharacteristic
subgroupG/H
centerC2×C4C22×D52
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC42×D4×C13C2
socleC22×C13C22×C22⋊C4
prime radical#13128394C2
cosocleC22×C4×C13C24
hypercenterC42×D4D13
hypocenterC13#22505
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ C42×D4

Complements

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

NH ≅ G/Ntype
2. D4×#6099C2semidirect
3. #13115813C2semidirect
4. #13115779C2semidirect
5. #13115279C2semidirect
6. #13115136C2semidirect
7. #13114936C2semidirect
8. #13114857C2semidirect
9. C4×#88045C2semidirect
10. C2×#11718115C2semidirect
11. C42×D4×C13C2semidirect
19. #11719270C4semidirect
20. #11719268C4semidirect
22. #11719260C4semidirect
23. #11719248C4semidirect
24. #11719247C4semidirect
25. #11719246C4semidirect
85. #88184C2×C4semidirect
86. #88184C2×C4semidirect
94. #88180C2×C4semidirect
95. #88180C2×C4semidirect
98. C2×C4⋊Dic13C2×C4semidirect
99. C2×C4⋊Dic13C2×C4semidirect
102. #88178C2×C4semidirect
103. #88178C2×C4semidirect
126. C4×D52C2×C4semidirect
127. C4×D52C2×C4semidirect
130. #88124C2×C4semidirect
131. #88123C2×C4semidirect
132. #88123C2×C4semidirect
135. C4×Dic26C2×C4semidirect
136. C4×Dic26C2×C4semidirect
210. C42×C13#41semidirect
247. #6099#41semidirect
254. C42×D4D13semidirect
273. D4×C13#104semidirect
612. C42#6129semidirect
613. C13#22505semidirect
634. D4#88045semidirect

Maximal subgroups

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

subgroupindex
#131283942
D4×#60992
#131158132
#131157792
#131152792
#131151362
#131149362
#131148572
C4×#880452
C2×#117181152
C42×D4×C132
#2250513