Finite Group Databasebeta

← #16807882

Subgroups — #16807882

Order 3328.

1974 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13131383C214yesmaximal
2#13131373C214yesmaximal
3#13131370C212yesmaximal, complemented
4#13131365C212yesmaximal, complemented
5#13131356C212yesmaximal, complemented
6Q8×C4⋊#261C212yesmaximal, complemented
7#13131336C214yesmaximal, complemented
8#13131330C214yesmaximal, complemented
9#13131323C212yesmaximal
10#13131314C211yesmaximal, characteristic
11C22⋊Q8×#261C212yesmaximal
12#13131296C211yesmaximal, characteristic
13D13×#541C211yesmaximal, characteristic
14C2×Q8×#261C2212yes—
15C2×Q8×#261C2212yes—
16C2×#88237C2211yescharacteristic
17C22×C4×#261C2211yescharacteristic
18C13×#541C411yescharacteristic, complemented
19#11719436C411yescharacteristic, complemented
20D13×C4⋊Q8C2211yescharacteristic
21D13×#126C2214yes—
22#11719406C414yescomplemented
23#11719402C411yescharacteristic, complemented
24#11719401C414yescomplemented
25D13×#125C2214yes—
26D13×#125C2211yescharacteristic
27D13×C22⋊Q8C2212yes—
28#11719330C412yescomplemented
29#11719288C412yescomplemented
30C4×Q8×D13C2212yes—
31D13×#117C2211yescharacteristic
32#11719223C411yescharacteristic, complemented
33(C2×#261)⋊Q8C2212yes—
34(C2×#261)⋊Q8C2212yes—
35#11719136C2212yes—
36#11719083C2212yes—
37#11719083C2212yes—
38#11719083C2212yes—
39#11719083C2214yes—
40#11719083C2212yes—
41#11719083C2214yes—
42#11719083C2214yes—
43#11719083C2214yes—
44#11719083C2214yes—
45#11719082C2214yes—
46#11719082C2214yes—
47#11719082C2214yes—
48#11719082C2214yes—
49#11719082C2214yes—
50#11719082C2214yes—
51#11719082C2214yes—
52#11719082C2214yes—
53#11719082C2214yes—
54C4⋊C4×#261C2214yes—
55C4⋊C4×#261C2212yes—
56C4⋊C4×#261C2212yes—
57C4⋊C4×#261C2214yes—
58C4⋊C4×#261C2214yes—
59#11719071C2214yes—
60#11719071C2214yes—
61#11719071C2214yes—
62#11719070C2212yes—
63#11719070C2212yes—
64#11719070C2214yes—
65C22⋊C4×#261C2214yes—
66#11719061C2214yes—
67#11719060C2211yescharacteristic
68#11719059C2211yescharacteristic
69#11719059C2214yes—
70C4×C4⋊#261C2212yes—
71C4×C4⋊#261C2212yes—
72C4×C4⋊#261C2212yes—
73C4×C4⋊#261C2214yes—
74#11719057C2214yes—
75C23×#261C2311yescharacteristic
76C23×#261C2311yescharacteristic
77C2×Q8×D13C2312yes—
78C22×C4×D13C2311yescharacteristic
79C2×C22⋊#261C2314yes—
80C2×C22⋊#261C2312yes—
81Q8×#261—44no—
82Q8×#261—44no—
83#88237—42no—
84C2×C4⋊#261C2312yes—
85C2×C4⋊#261C2312yes—
86C2×C4⋊#261C2312yes—
87C2×C4⋊#261C2312yes—
88C2×C4⋊#261C2312yes—
89C2×C4⋊#261C2314yes—
90C2×C4⋊#261C2312yes—
91C2×C4⋊#261C2314yes—
92C2×C4⋊#261C2314yes—
93C2×C4⋊#261C2314yes—
94C2×C4⋊#261C2314yes—
95C2×C4⋊#261C2311yescharacteristic
96C2×C4⋊#261C2311yescharacteristic
97C2×C4×#261—42no—
98C2×C4×#261C2314yes—
99C2×C4×#261C2312yes—
100C2×C4×#261C2312yes—
101C2×C4×#261C2314yes—
102C2×C4×#261C2314yes—
103C2×C4×#261C2314yes—
104C2×C4×#261C2314yes—
105C2×C4×#261C2312yes—
106C13×C4⋊Q8C2×C411yescharacteristic, complemented
107C13×#126C2×C414yes—
108C13×#125C2×C414yescomplemented
109C13×#125C2×C411yescharacteristic, complemented
110C13×C22⋊Q8C2×C412yes—
111C4×Q8×C13C2×C412yescomplemented
112C13×#117C2×C411yescharacteristic
113#88200C2×C412yes—
114Q8×Dic13C2×C412yescomplemented
115#88198C2×C412yescomplemented
116#88180C2×C411yescharacteristic
117#88178C2×C412yes—
118#88152C2×C414yes—
119#88152C2×C414yes—
120#88152C2×C414yes—
121#88151C2×C412yes—
122#88150C2×C414yes—
123#88146C2×C412yes—
124C4⋊C4×D13C2314yes—
125C4⋊C4×D13C2312yes—
126C4⋊C4×D13C2312yes—
127C4⋊C4×D13C2314yes—
128C4⋊C4×D13C2314yes—
129C4⋊C4×D13C2314yes—
130#88144C2×C412yescomplemented
131#88144C2×C414yescomplemented
132#88144C2×C414yescomplemented
133#88143C2×C414yescomplemented
134#88143C2×C414yescomplemented
135#88143C2×C414yescomplemented
136#88143C2×C414yescomplemented
137#88143C2×C414yescomplemented
138#88142C2×C414yescomplemented
139#88141C2×C412yescomplemented
140#88141C2×C414yescomplemented
141C22⋊C4×D13C2312yes—
142C22⋊C4×D13C2314yes—
143#88133C2×C414yes—
144#88133C2×C414yes—
145#88133C2×C414yes—
146#88132C2×C414yes—
147#88131C2×C412yes—
148#88130C2×C414yes—
149#88126C2×C411yescharacteristic
150#88126C2×C411yescharacteristic
151C42×D13C2311yescharacteristic
152C42×D13C2311yescharacteristic
153C42×D13C2314yes—
154#88124C2×C411yescharacteristic, complemented
155#88124C2×C414yescomplemented
156#88123C2×C411yescharacteristic, complemented
157C4×Dic26C2×C412yescomplemented
158C4×Dic26C2×C414yescomplemented
159(C2×#261)⋊C4C2312yes—
160(C2×#261)⋊C4C2314yes—
161(C2×#261)⋊C4C2314yes—
162(C2×#261)⋊C4C2314yes—
163(C2×#261)⋊C4C2312yes—
164(C2×#261)⋊C4C2314yes—
165(C2×#261)⋊C4C2312yes—
166(C2×#261)⋊C4C2312yes—
167(C2×#261)⋊C4C2314yes—
168(C2×#261)⋊C4C2314yes—
169(C2×#261)⋊C4C2314yes—
170(C2×#261)⋊C4C2314yes—
171(C2×#261)⋊C4C2314yes—
172(C2×#261)⋊C4C2314yes—
173(C2×#261)⋊C4C2314yes—
174#34420—131nomaximal, Sylow
175C23×D13C2411yescharacteristic
176C22×#261—24no—
177C22×#261—41no—
178C22×#261—41no—
179C22×#261—42no—
180C22×#261C2414yes—
181C22×#261C2412yes—
182C22×#261C2412yes—
183C22×#261C2412yes—
184C22×#261C2414yes—
185C22×#261C2412yes—
186C2×Q8×C13C22×C412yes—
187C22×C4×C13C22×C411yescharacteristic
188C22×Dic13C22×C411yescharacteristic
189Q8×D13—24no—
190Q8×D13—24no—
191C2×C4×D13—22no—
192C2×C4×D13—22no—
193C2×C4×D13C22×C411yescharacteristic
194C2×C4×D13C22×C411yescharacteristic
195C2×C4×D13C2412yes—
196C2×C4×D13C2414yes—
197C2×C4×D13C2412yes—
198C2×C4×D13C2414yes—
199C2×C4×D13C2411yescharacteristic
200C2×C4×D13C2411yescharacteristic
201C2×Dic26C22×C412yes—
202C2×Dic26C22×C414yes—
203C22⋊#261—42no—
204C22⋊#261—44no—
205C4⋊#261—24no—
206C4⋊#261—24no—
207C4⋊#261—24no—
208C4⋊#261—24no—
209C4⋊#261—42no—
210C4⋊#261—44no—
211C4⋊#261—44no—
212C4⋊#261—42no—
213C4⋊#261—44no—
214C4⋊#261—41no—
215C4⋊#261—41no—
216C4⋊#261—44no—
217C4⋊#261—44no—
218C4×#261—28no—
219C4×#261—24no—
220C4×#261—24no—
221C4×#261—42no—
222C4×#261—44no—
223C4×#261—44no—
224C4×#261—44no—
225C4×#261—44no—
226C13×C4⋊C4C22×C414yes—
227C13×C4⋊C4C22×C412yes—
228C13×C4⋊C4C22×C414yes—
229C13×C4⋊C4C22×C412yes—
230C13×C4⋊C4C22×C414yes—
231C13×C4⋊C4C22×C414yes—
232C13×C22⋊C4C22×C412yes—
233C13×C22⋊C4C22×C414yes—
234C42×C13C22×C411yescharacteristic
235C42×C13C22×C414yes—
236C42×C13C22×C411yescharacteristic
237C22⋊Dic13C22×C412yes—
238C22⋊Dic13C22×C414yes—
239#6103C22×C412yes—
240#6103C22×C412yes—
241#6103C22×C414yes—
242#6103C22×C414yes—
243C4⋊Dic13C22×C412yes—
244C4⋊Dic13C22×C414yes—
245C4⋊Dic13C22×C414yes—
246C4⋊Dic13C22×C414yes—
247C4⋊Dic13C22×C414yes—
248C4⋊Dic13C22×C412yes—
249#6101C22×C414yes—
250#6101C22×C414yes—
251#6101C22×C414yes—
252#6101C22×C412yes—
253#6101C22×C414yes—
254#6101C22×C414yes—
255#6101C22×C414yes—
256#6101C22×C412yes—
257#6101C22×C414yes—
258#6101C22×C414yes—
259#6101C22×C414yes—
260C4×Dic13C22×C412yes—
261C4×Dic13C22×C414yes—
262C4×Dic13C22×C411yescharacteristic
263C4×Dic13C22×C411yescharacteristic
264C4×Dic13C22×C412yes—
265C4×Dic13C22×C414yes—
266C4×Dic13C22×C414yes—
267C2×#541—131no—
268#2383—134no—
269#2373—134no—
270#2370—132no—
271#2365—132no—
272#2356—132no—
273Q8×C4⋊C4—132no—
274#2336—134no—
275#2330—134no—
276#2323—132no—
277#2314—131no—
278C4×C22⋊Q8—132no—
279#2296—131no—
280C23×C13C23×C411yescharacteristic
281C22×D13—21no—
282C22×D13—21no—
283C22×D13—22no—
284C22×D13—22no—
285C22×D13C23×C411yescharacteristic
286C22×D13C2511yescharacteristic
287C2×#261—22no—
288C2×#261—22no—
289C2×#261—22no—
290C2×#261—22no—
291C2×#261—22no—
292C2×#261—24no—
293C2×#261—24no—
294C2×#261—22no—
295C2×#261—22no—
296C2×#261—24no—
297C2×#261—22no—
298C2×#261—24no—
299C2×#261—24no—
300C2×#261—22no—
301C2×#261—24no—
302C2×#261—22no—
303C2×#261—22no—
304C2×#261—44no—
305C2×#261—44no—
306C2×#2612−1+414yes—
307Q8×C13—24no—
308C2×C4×C13—22no—
309C2×C4×C13C23×C412yes—
310C2×C4×C13C23×C412yes—
311C2×C4×C13C23×C414yes—
312C2×C4×C13C23×C414yes—
313C2×C4×C13C23×C411yescharacteristic
314C2×C4×C13C23×C411yescharacteristic
315C2×Dic13—22no—
316C2×Dic13C23×C412yes—
317C2×Dic13C23×C414yes—
318C2×Dic13C23×C412yes—
319C2×Dic13C23×C414yes—
320C2×Dic13C23×C411yescharacteristic
321C2×Dic13C23×C411yescharacteristic
322C4×D13—21no—
323C4×D13—24no—
324C4×D13—24no—
325C4×D13—22no—
326C4×D13—22no—
327C4×D13—21no—
328C4×D13—24no—
329C4×D13—22no—
330C4×D13—24no—
331C4×D13—22no—
332C4×D13—22no—
333C4×D13—22no—
334C4×D13H(5,𝔽2)12yes—
335C4×D132−1+412yes—
336Dic26—24no—
337Dic26—28no—
338#541—131no—
339#541—134no—
340#541—134no—
341#541—131no—
342#541—132no—
343#541—132no—
344#541—131no—
345#541#26111yescharacteristic, complemented
346C2×C4⋊Q8—131no—
347C2×#126—134no—
348C2×#125—134no—
349C2×#125—131no—
350C2×C22⋊Q8—132no—
351C2×C4×Q8—132no—
352C2×C4×Q8—132no—
353C2×C4×Q8—132no—
354C2×#117—131no—
355C2×#117—131no—
356C22×C42—131no—
357#391—132no—
358#391—132no—
359#389—134no—
360#389—132no—
361#389—132no—
362#389—134no—
363#389—134no—
364#389—134no—
365#389—132no—
366#389—134no—
367#389—132no—
368#388—134no—
369#388—134no—
370#388—134no—
371#387—134no—
372#387—134no—
373#387—134no—
374#387—134no—
375#387—134no—
376#387—134no—
377#387—134no—
378#387—134no—
379#387—134no—
380#385—132no—
381#385—132no—
382#385—134no—
383#384—131no—
384#384—134no—
385#383—134no—
386#382—131no—
387#380—132no—
388C4×C4⋊C4—132no—
389C4×C4⋊C4—132no—
390C4×C4⋊C4—134no—
391C4×C4⋊C4—134no—
392C4×C4⋊C4—134no—
393C4×C4⋊C4—134no—
394C4×C4⋊C4—132no—
395C4×C4⋊C4—132no—
396C4×C4⋊C4—132no—
397C4×C22⋊C4—134no—
398#376—134no—
399C22×C13—21no—
400C22×C13—22no—
401C22×C13C24×C411yescharacteristic
402C2×D13—21no—
403C2×D13—22no—
404C2×D13—41no—
405C2×D13—41no—
406C2×D13—42no—
407C2×D13C2×H(5,𝔽2)11yescharacteristic
408C2×D13C2×2−1+412yes—
409C2×D13C2×2−1+411yescharacteristic
410C2×D13#58512yes—
411#261—24no—
412#261—42no—
413#261—42no—
414#261—44no—
415#261—42no—
416#261—44no—
417C4×C13—24no—
418C4×C13—21no—
419C4×C13—24no—
420C4×C13—22no—
421C4×C13—22no—
422C4×C13#52012yes—
423Dic13—24no—
424Dic13—21no—
425Dic13—24no—
426Dic13—22no—
427Dic13—22no—
428Dic13#52012yes—
429C22×Q8—132no—
430C23×C4—131no—
431C23×C4—131no—
432C23×C4—131no—
433C4⋊Q8—132no—
434C4⋊Q8—134no—
435C4⋊Q8—131no—
436C4⋊Q8C2×#26111yescharacteristic, complemented
437#126—134no—
438#126—134no—
439#126—134no—
440#126—134no—
441#126—134no—
442#126—134no—
443#126—134no—
444#126C2×#26114yes—
445#125—134no—
446#125—134no—
447#125—134no—
448#125—134no—
449#125—134no—
450#125—132no—
451#125—134no—
452#125—134no—
453#125—131no—
454#125—134no—
455#125C2×#26111yescharacteristic, complemented
456#125C2×#26114yescomplemented
457C22⋊Q8—132no—
458C22⋊Q8—132no—
459C22⋊Q8—134no—
460C22⋊Q8—132no—
461C22⋊Q8—134no—
462C22⋊Q8C2×#26112yes—
463C4×Q8—132no—
464C4×Q8—134no—
465C4×Q8—132no—
466C4×Q8—134no—
467C4×Q8—132no—
468C4×Q8—524no—
469C4×Q8—524no—
470C4×Q8C2×#26112yescomplemented
471#117—131no—
472#117—132no—
473#117—132no—
474#117—131no—
475#117—131no—
476#117—522no—
477#117C2×#26111yescharacteristic
478C2×C4⋊C4—132no—
479C2×C4⋊C4—132no—
480C2×C4⋊C4—134no—
481C2×C4⋊C4—134no—
482C2×C4⋊C4—134no—
483C2×C4⋊C4—134no—
484C2×C4⋊C4—132no—
485C2×C4⋊C4—132no—
486C2×C4⋊C4—132no—
487C2×C4⋊C4—132no—
488C2×C4⋊C4—131no—
489C2×C4⋊C4—131no—
490C2×C4⋊C4—134no—
491C2×C4⋊C4—134no—
492C2×C4⋊C4—132no—
493C2×C4⋊C4—134no—
494C2×C4⋊C4—134no—
495C2×C4⋊C4—134no—
496C2×C4⋊C4—132no—
497C2×C22⋊C4—132no—
498C2×C22⋊C4—134no—
499C2×C22⋊C4—132no—
500C2×C22⋊C4—134no—
501C2×C42—131no—
502C2×C42—131no—
503C2×C42—134no—
504C2×C42—132no—
505C2×C42—132no—
506C2×C42—134no—
507C2×C42—134no—
508C2×C42—134no—
509C2×C42—134no—
510C2×C42—134no—
511C2×C42—132no—
512C2×C42—522no—
513#95—132no—
514#95—134no—
515#95—134no—
516#95—134no—
517#95—134no—
518#95—132no—
519#95—134no—
520#95—132no—
521#95—134no—
522#95—134no—
523#95—134no—
524#95—134no—
525#95—132no—
526#95—134no—
527#95—134no—
528C2×C13—41no—
529C2×C13C2×#52011yescharacteristic
530C2×C13C4×2−1+412yes—
531D13—41no—
532D13#353811yescharacteristic
533D13#353911yescharacteristic
534D13#355512yes—
535C24—131no—
536C2×Q8—134no—
537C2×Q8—132no—
538C2×Q8—264no—
539C2×Q8—264no—
540C2×Q8C22×#26112yes—
541C22×C4—131no—
542C22×C4—132no—
543C22×C4—131no—
544C22×C4—132no—
545C22×C4—134no—
546C22×C4—132no—
547C22×C4—134no—
548C22×C4—131no—
549C22×C4—131no—
550C22×C4—131no—
551C22×C4—134no—
552C22×C4—132no—
553C22×C4—132no—
554C22×C4—132no—
555C22×C4—134no—
556C22×C4—262no—
557C22×C4—262no—
558C22×C4—264no—
559C22×C4—521no—
560C22×C4—521no—
561C22×C4—522no—
562C22×C4C22×#26111yescharacteristic
563C4⋊C4—132no—
564C4⋊C4—132no—
565C4⋊C4—132no—
566C4⋊C4—134no—
567C4⋊C4—132no—
568C4⋊C4—134no—
569C4⋊C4—134no—
570C4⋊C4—134no—
571C4⋊C4—134no—
572C4⋊C4—134no—
573C4⋊C4—134no—
574C4⋊C4—134no—
575C4⋊C4—134no—
576C4⋊C4—134no—
577C4⋊C4—134no—
578C4⋊C4—134no—
579C4⋊C4—134no—
580C4⋊C4—264no—
581C4⋊C4—264no—
582C4⋊C4—264no—
583C4⋊C4—264no—
584C4⋊C4—521no—
585C4⋊C4—521no—
586C4⋊C4—524no—
587C4⋊C4—524no—
588C4⋊C4—522no—
589C4⋊C4—524no—
590C4⋊C4—524no—
591C4⋊C4—522no—
592C4⋊C4—524no—
593C4⋊C4C22×#26112yes—
594C4⋊C4C22×#26112yes—
595C4⋊C4C22×#26114yes—
596C4⋊C4C22×#26114yes—
597C4⋊C4C22×#26114yes—
598C4⋊C4C22×#26114yes—
599C22⋊C4—132no—
600C22⋊C4—134no—
601C22⋊C4—132no—
602C22⋊C4—132no—
603C22⋊C4—134no—
604C22⋊C4—134no—
605C22⋊C4—522no—
606C22⋊C4—524no—
607C22⋊C4C22×#26112yes—
608C22⋊C4C22×#26114yes—
609C42—132no—
610C42—131no—
611C42—132no—
612C42—131no—
613C42—134no—
614C42—134no—
615C42—134no—
616C42—264no—
617C42—264no—
618C42—268no—
619C42—522no—
620C42—524no—
621C42—524no—
622C42—524no—
623C42—524no—
624C42C22×#26111yescharacteristic
625C42C22×#26111yescharacteristic
626C42C22×#26114yes—
627C13#3442011yescharacteristic, complemented, Sylow
628C23—131no—
629C23—131no—
630C23—261no—
631C23—262no—
632C23—261no—
633C23—262no—
634C23C23×#26111yescharacteristic
635Q8—24no—
636Q8—268no—
637Q8—264no—
638C2×C4—22no—
639C2×C4—131no—
640C2×C4—132no—
641C2×C4—132no—
642C2×C4—134no—
643C2×C4—132no—
644C2×C4—132no—
645C2×C4—134no—
646C2×C4—134no—
647C2×C4—131no—
648C2×C4—262no—
649C2×C4—264no—
650C2×C4—261no—
651C2×C4—264no—
652C2×C4—262no—
653C2×C4—264no—
654C2×C4—262no—
655C2×C4—262no—
656C2×C4—262no—
657C2×C4—261no—
658C2×C4—264no—
659C2×C4—262no—
660C2×C4—262no—
661C2×C4—262no—
662C2×C4—262no—
663C2×C4—262no—
664C2×C4—262no—
665C2×C4—262no—
666C2×C4—264no—
667C2×C4—264no—
668C2×C4—264no—
669C2×C4—262no—
670C2×C4—264no—
671C2×C4—264no—
672C2×C4—264no—
673C2×C4—262no—
674C2×C4—262no—
675C2×C4—262no—
676C2×C4—262no—
677C2×C4—262no—
678C2×C4—524no—
679C2×C4—524no—
680C2×C4C23×#26112yes—
681C2×C4C23×#26112yes—
682C2×C4C23×#26114yes—
683C2×C4C23×#26114yes—
684C2×C4C23×#26111yescharacteristic
685C2×C4C23×#26111yescharacteristic
686C22—21no—
687C22—22no—
688C22—131no—
689C22—131no—
690C22—132no—
691C22—132no—
692C22—261no—
693C22—262no—
694C22—521no—
695C22—521no—
696C22—522no—
697C22C24×#26111yescharacteristic
698C4—21no—
699C4—24no—
700C4—24no—
701C4—22no—
702C4—22no—
703C4—132no—
704C4—264no—
705C4—261no—
706C4—264no—
707C4—262no—
708C4—264no—
709C4—262no—
710C4—522no—
711C4—522no—
712C4—524no—
713C4—524no—
714C4—522no—
715C4#1171963112yes—
716C2—41no—
717C2—131no—
718C2—131no—
719C2—132no—
720C2—521no—
721C2C2×#1171963111yescharacteristic
722C22−1+4×#26112yes—
subgroupG/H
center, FrattiniC22C24×#261
commutator, socleC22×C13C24×C4
FittingC13×#541C4
prime radicalC23×D13C24
cosocleC22×D13C25
hypercenter#541#261
hypocenterC13#34420
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ #541

Complements

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

NH ≅ G/Ntype
3. #13131370C2semidirect
4. #13131365C2semidirect
5. #13131356C2semidirect
6. Q8×C4⋊#261C2semidirect
7. #13131336C2semidirect
8. #13131330C2semidirect
18. C13×#541C4semidirect
19. #11719436C4semidirect
22. #11719406C4semidirect
23. #11719402C4semidirect
24. #11719401C4semidirect
28. #11719330C4semidirect
29. #11719288C4semidirect
32. #11719223C4semidirect
106. C13×C4⋊Q8C2×C4semidirect
108. C13×#125C2×C4semidirect
109. C13×#125C2×C4semidirect
111. C4×Q8×C13C2×C4semidirect
114. Q8×Dic13C2×C4semidirect
115. #88198C2×C4semidirect
130. #88144C2×C4semidirect
131. #88144C2×C4semidirect
132. #88144C2×C4semidirect
133. #88143C2×C4semidirect
134. #88143C2×C4semidirect
135. #88143C2×C4semidirect
136. #88143C2×C4semidirect
137. #88143C2×C4semidirect
138. #88142C2×C4semidirect
139. #88141C2×C4semidirect
140. #88141C2×C4semidirect
154. #88124C2×C4semidirect
155. #88124C2×C4semidirect
156. #88123C2×C4semidirect
157. C4×Dic26C2×C4semidirect
158. C4×Dic26C2×C4semidirect
345. #541#261semidirect
436. C4⋊Q8C2×#261semidirect
455. #125C2×#261semidirect
456. #125C2×#261semidirect
470. C4×Q8C2×#261semidirect
627. C13#34420semidirect

Maximal subgroups

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

subgroupindex
#131313832
#131313732
#131313702
#131313652
#131313562
Q8×C4⋊#2612
#131313362
#131313302
#131313232
#131313142
C22⋊Q8×#2612
#131312962
D13×#5412
#3442013