Finite Group Databasebeta

← D13⋊#2977 #16808653

Subgroups — D13⋊#2977 #16808653

Order 3328.

2362 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#13131711C214yesmaximal, complemented
2#13131710C214yesmaximal, complemented
3#13131709C214yesmaximal, complemented
4#13131708C214yesmaximal, complemented
5D13⋊#435C214yesmaximal, complemented
6D4×D13⋊C8C214yesmaximal, complemented
7D13⋊#433C212yesmaximal, complemented
8D13⋊#408C212yesmaximal, complemented
9C2×D13⋊(C22⋊C8)C212yesmaximal, complemented
10D13×#525C211yesmaximal, characteristic
11C2×#41×D13C2211yescharacteristic
12C23×C4×D13C2211yescharacteristic
13C2×D13⋊M16C2212yescomplemented
14C22×D13⋊C8C2214yes—
15C22×D13⋊C8C2212yescomplemented
16C13×#525C411yescharacteristic
17#11719533C411yescharacteristic
18#11719496C411yescharacteristic
19#11719361C2212yes—
20D13×#123C412yes—
21#11719332C2212yes—
22D13×C22⋊Q8C412yes—
23#11719311C2212yes—
24D13×#121C412yes—
25D13×#120C412yes—
26#11719291C2212yes—
27#11719252C414yes—
28C4×D4×D13C2214yes—
29#11719229C411yescharacteristic
30D13×#117C2211yescharacteristic
31C2×C22⋊#1057C2214yescomplemented
32#11719159C2214yescomplemented
33#11719147C2214yescomplemented
34#11719146C2214yescomplemented
35#11719146C2214yescomplemented
36#11719144C2218yescomplemented
37D4×#1057C2218yescomplemented
38D13⋊(C22⋊C8)C2212yes—
39D13⋊(C22⋊C8)C2212yes—
40D13⋊(C22⋊C8)C2214yes—
41D13⋊(C22⋊C8)C2214yescomplemented
42D13⋊(C22⋊C8)C2214yescomplemented
43D13⋊(C22⋊C8)C2214yescomplemented
44C2×#88111C2214yescomplemented
45#11719077C2218yescomplemented
46#11719075C2218yescomplemented
47#11719073C2218yescomplemented
48#11719068C2218yescomplemented
49#11719065C2218yescomplemented
50#11719064C2218yescomplemented
51#11719063C2218yescomplemented
52#11719063C2218yescomplemented
53D13⋊(C4⋊C8)C2214yescomplemented
54#11719047C2212yescomplemented
55C4×D13⋊C8C2212yescomplemented
56C24×D13C2×C411yescharacteristic
57C2×C13×#41C2×C411yescharacteristic
58C23×C4×C13C2×C411yescharacteristic
59C23×Dic13C2311yescharacteristic
60#41×D13—44no—
61C2×#6131C2311yescharacteristic
62C2×Q8×D13C2×C411yescharacteristic
63C2×#6129C2312yes—
64C2×#6129C2311yescharacteristic
65C2×D4×D13C2×C414yes—
66C2×D4×D13C2×C412yes—
67C2×D4×D13C2×C411yescharacteristic
68C2×#6127C2×C411yescharacteristic
69C2×#6127C2×C412yes—
70C22×C4×D13—44no—
71C22×C4×D13C2×C411yescharacteristic
72C22×C4×D13C2×C412yes—
73C22×C4×D13C2×C412yes—
74C22×C4×D13C2×C411yescharacteristic
75C22×C4×D13C2311yescharacteristic
76C22×C4×D13C2312yes—
77C22×C4×D13C2312yes—
78C22×C4×D13C2312yes—
79C22×C4×D13C2311yescharacteristic
80C2×#6122C2314yescomplemented
81C22×#1057C2318yes—
82C22×#1057C2314yescomplemented
83D13⋊M16—44no—
84C2×#6118C2314yescomplemented
85C2×D13⋊C8—48no—
86C2×D13⋊C8—44no—
87C2×D13⋊C8C2314yes—
88C2×D13⋊C8C2314yes—
89C2×D13⋊C8C2318yes—
90C2×D13⋊C8C2314yescomplemented
91C13×#123C2×C412yes—
92C13×C22⋊Q8C2×C412yes—
93C13×#121C2×C412yes—
94C13×#120C2×C412yes—
95C4×D4×C13C2×C414yes—
96C13×#117C2×C411yescharacteristic
97#88207C2×C412yes—
98#88200C2×C412yes—
99#88193C2×C414yes—
100#88192C2×C412yes—
101#88191C2×C414yes—
102#88191C2×C412yes—
103#88189C2×C412yes—
104D4×Dic13C2314yes—
105#88184C2×C412yes—
106#88183C2×C412yes—
107C4×C22⋊D13C2×C414yes—
108C4×C22⋊D13C2×C414yes—
109#88180C2×C411yescharacteristic
110#88178C2×C412yes—
111#88151C2×C412yes—
112#88150C2×C414yes—
113#88149C2×C412yes—
114#88148C2×C414yes—
115#88147C2314yes—
116#88146C2312yes—
117C4⋊C4×D13C2×C412yes—
118C4⋊C4×D13C2×C414yes—
119#88140C2×C412yes—
120#88138C2×C414yes—
121#88137C2×C414yes—
122#88136C2×C412yes—
123#88136C2×C414yes—
124#88135C2314yes—
125#88135C2314yes—
126C22⋊C4×D13C2×C412yes—
127C22⋊C4×D13C2×C414yes—
128C22⋊C4×D13C2×C414yes—
129#88132C2×C414yes—
130#88131C2312yes—
131C4×D52C2×C414yes—
132#88126C2×C412yes—
133C42×D13C2312yes—
134C22⋊#1057C2314yes—
135C22⋊#1057C2314yes—
136C22⋊#1057C2318yes—
137C22⋊#1057C2318yescomplemented
138#88112C2318yescomplemented
139#88111C2314yes—
140#88111C2314yes—
141#88111C2318yes—
142#88111C2318yescomplemented
143#88110C2318yescomplemented
144C4⋊#1057C2318yescomplemented
145C4×#1057C2318yescomplemented
146C2×#2977—131nomaximal, Sylow
147C24×C13C22×C411yescharacteristic
148C23×D13—28no—
149C23×D13—42no—
150C23×D13C22×C411yescharacteristic
151C23×D13C22×C412yes—
152C23×D13C22×C412yes—
153C23×D13C22×C411yescharacteristic
154C23×D13C22×C412yes—
155C13×#41—42no—
156C2×Q8×C13C22×C411yescharacteristic
157C2×D4×C13C22×C414yes—
158C2×D4×C13C22×C412yes—
159C2×D4×C13C22×C411yescharacteristic
160C22×C4×C13—42no—
161C22×C4×C13C22×C411yescharacteristic
162C22×C4×C13C22×C412yes—
163C22×C4×C13C22×C412yes—
164C22×C4×C13C22×C412yes—
165C22×C4×C13C22×C411yescharacteristic
166C2×C22⋊D13C22×C414yes—
167C2×C22⋊D13C22×C414yes—
168C2×C22⋊D13C22×C412yes—
169C2×C22⋊D13C22×C412yes—
170C2×C22⋊D13C22×C412yes—
171C22×Dic13—42no—
172C22×Dic13C22×C412yes—
173C22×Dic13C22×C411yescharacteristic
174C22×Dic13C2411yescharacteristic
175C22×Dic13C2412yes—
176C22×Dic13C2412yes—
177#6131—42no—
178Q8×D13—42no—
179#6129—42no—
180#6129—42no—
181#6129—42no—
182D4×D13—216no—
183D4×D13—42no—
184D4×D13—44no—
185#6127—44no—
186#6127—42no—
187C2×D52C22×C414yes—
188C2×D52C22×C412yes—
189C2×D52C22×C411yescharacteristic
190C2×C4×D13—28no—
191C2×C4×D13—24no—
192C2×C4×D13—24no—
193C2×C4×D13—24no—
194C2×C4×D13—42no—
195C2×C4×D13—44no—
196C2×C4×D13—42no—
197C2×C4×D13—44no—
198C2×C4×D13—42no—
199C2×C4×D13—44no—
200C2×C4×D13C22×C414yes—
201C2×C4×D13C22×C411yescharacteristic
202C2×C4×D13C22×C412yes—
203C2×C4×D13C22×C412yes—
204C2×C4×D13C22×C412yes—
205C2×C4×D13C22×C412yes—
206C2×C4×D13C22×C411yescharacteristic
207C2×C4×D13C22×C412yes—
208C2×C4×D13C22×C412yes—
209C2×C4×D13C22×C412yes—
210C2×C4×D13C2411yescharacteristic
211C2×C4×D13C2412yes—
212C2×C4×D13C2412yes—
213C2×C4×D13C2411yescharacteristic
214C2×Dic26C22×C412yes—
215C2×Dic26C22×C411yescharacteristic
216#6122—44no—
217C2×#1057—48no—
218C2×#1057—44no—
219C2×#1057C2418yes—
220C2×#1057C2418yes—
221#6118—44no—
222D13⋊C8—28no—
223D13⋊C8—28no—
224D13⋊C8—48no—
225D13⋊C8—44no—
226C13×C4⋊C4C22×C412yes—
227C13×C4⋊C4C22×C414yes—
228C13×C22⋊C4C22×C412yes—
229C13×C22⋊C4C22×C414yes—
230C13×C22⋊C4C22×C414yes—
231C42×C13C22×C412yes—
232C22⋊Dic13C22×C412yes—
233C22⋊Dic13C22×C414yes—
234C22⋊Dic13C22×C414yes—
235#6103C22×C414yes—
236#6103C22×C414yes—
237#6103C22×C414yes—
238#6103C22×C414yes—
239#6103C22×C414yes—
240C4⋊Dic13C22×C414yes—
241C4⋊Dic13C22×C412yes—
242#6101C22×C414yes—
243#6101C22×C414yes—
244#6101C22×C414yes—
245C4×Dic13C22×C412yes—
246C4×Dic13C2414yes—
247C2×#525—131no—
248#2977—134no—
249#2977—134no—
250#2977—134no—
251#2977—134no—
252C2×#435—134no—
253C2×C8×D4—134no—
254C2×#433—132no—
255C2×#408—132no—
256C22×C22⋊C8—132no—
257C23×C13—24no—
258C23×C13—41no—
259C23×C13C23×C411yescharacteristic
260C23×C13C23×C412yes—
261C23×C13C23×C412yes—
262C22×D13—24no—
263C22×D13—24no—
264C22×D13—24no—
265C22×D13—22no—
266C22×D13—24no—
267C22×D13—28no—
268C22×D13—24no—
269C22×D13—24no—
270C22×D13—24no—
271C22×D13—41no—
272C22×D13—42no—
273C22×D13—416no—
274C22×D13#13118yes—
275C22×D13C23×C411yescharacteristic
276C22×D13C23×C412yes—
277C22×D13C23×C412yes—
278C22×D13C23×C411yescharacteristic
279Q8×C13—41no—
280D4×C13—28no—
281D4×C13—41no—
282D4×C13—42no—
283C2×C4×C13—22no—
284C2×C4×C13—24no—
285C2×C4×C13—24no—
286C2×C4×C13—42no—
287C2×C4×C13—41no—
288C2×C4×C13C23×C414yes—
289C2×C4×C13C23×C412yes—
290C2×C4×C13C23×C412yes—
291C2×C4×C13C23×C411yescharacteristic
292C2×C4×C13C23×C411yescharacteristic
293C22⋊D13—28no—
294C22⋊D13—28no—
295C22⋊D13—42no—
296C22⋊D13—42no—
297C22⋊D13—42no—
298C2×Dic13—24no—
299C2×Dic13—22no—
300C2×Dic13—22no—
301C2×Dic13—22no—
302C2×Dic13—42no—
303C2×Dic13—41no—
304C2×Dic13C23×C414yes—
305C2×Dic13C23×C411yescharacteristic
306C2×Dic13C23×C412yes—
307C2×Dic13C23×C412yes—
308C2×Dic13C2511yescharacteristic
309D52—28no—
310D52—41no—
311D52—42no—
312C4×D13—24no—
313C4×D13—22no—
314C4×D13—24no—
315C4×D13—28no—
316C4×D13—24no—
317C4×D13—22no—
318C4×D13—24no—
319C4×D13—24no—
320C4×D13—22no—
321C4×D13—22no—
322C4×D13—22no—
323C4×D13—42no—
324C4×D13—42no—
325C4×D13—42no—
326C4×D13H(5,𝔽2)14yes—
327Dic26—42no—
328Dic26—41no—
329#1057—28no—
330#1057—28no—
331C22×#41—131no—
332C24×C4—131no—
333C22×M16—132no—
334C23×C8—134no—
335C23×C8—132no—
336#525—131no—
337#525—131no—
338#525—132no—
339#525—132no—
340#525—132no—
341#525—132no—
342#525—134no—
343#525—131no—
344#525#26111yescharacteristic
345C2×#123—132no—
346C2×C22⋊Q8—132no—
347C2×#121—132no—
348C2×#120—132no—
349C2×C4×D4—134no—
350C2×#117—131no—
351#435—138no—
352#435—138no—
353#435—138no—
354#435—138no—
355C8×D4—138no—
356C8×D4—138no—
357C8×D4—138no—
358C8×D4—138no—
359#433—138no—
360#433—138no—
361C2×C4⋊C8—134no—
362#408—134no—
363#408—134no—
364#408—134no—
365#408—134no—
366C2×C22⋊C8—134no—
367C2×C22⋊C8—134no—
368C2×C22⋊C8—132no—
369C2×C22⋊C8—132no—
370C2×C22⋊C8—134no—
371C2×C22⋊C8—134no—
372C2×C22⋊C8—134no—
373C2×C22⋊C8—134no—
374C2×#97—132no—
375C2×C4×C8—132no—
376C22×C13—22no—
377C22×C13—22no—
378C22×C13—21no—
379C22×C13—22no—
380C22×C13—24no—
381C22×C13—22no—
382C22×C13—44no—
383C22×C13C2×#13114yes—
384C22×C13C24×C411yescharacteristic
385C2×D13—22no—
386C2×D13—22no—
387C2×D13—216no—
388C2×D13—21no—
389C2×D13—22no—
390C2×D13—24no—
391C2×D13—22no—
392C2×D13—44no—
393C2×D13—48no—
394C2×D13—48no—
395C2×D13—44no—
396C2×D13#51812yes—
397C2×D13C2×#13114yes—
398C2×D13C2×#13114yes—
399C4×C13—21no—
400C4×C13—22no—
401C4×C13—22no—
402C4×C13—24no—
403C4×C13#51812yes—
404Dic13—21no—
405Dic13—22no—
406Dic13—22no—
407Dic13—24no—
408Dic13C2×H(5,𝔽2)12yes—
409C25—131no—
410C2×#41—131no—
411C2×#41—132no—
412C2×#41—131no—
413C2×#41—132no—
414C2×#41—131no—
415C2×#41—524no—
416C2×#41C2×#26111yescharacteristic
417C22×Q8—131no—
418C22×D4—134no—
419C22×D4—132no—
420C22×D4—131no—
421C23×C4—131no—
422C23×C4—131no—
423C23×C4—132no—
424C23×C4—132no—
425C23×C4—132no—
426C23×C4—131no—
427C23×C4—131no—
428C23×C4—132no—
429C23×C4—132no—
430C23×C4—131no—
431C23×C4—524no—
432C23×C4C2×#26111yescharacteristic
433C2×M16—134no—
434C2×M16—134no—
435C2×M16—524no—
436C22×C8—134no—
437C22×C8—134no—
438C22×C8—138no—
439C22×C8—138no—
440C22×C8—134no—
441C22×C8—134no—
442C22×C8—524no—
443C22×C8—528no—
444#123—132no—
445#123—132no—
446#123—134no—
447#123—134no—
448#123—132no—
449#123C2×#26112yes—
450C22⋊Q8—132no—
451C22⋊Q8—132no—
452C22⋊Q8—134no—
453C22⋊Q8—132no—
454C22⋊Q8—134no—
455C22⋊Q8C2×#26112yes—
456#121—132no—
457#121—134no—
458#121—132no—
459#121—132no—
460#121—134no—
461#121C2×#26112yes—
462#120—132no—
463#120—132no—
464#120—134no—
465#120—134no—
466#120—132no—
467#120C2×#26112yes—
468C4×D4—134no—
469C4×D4—134no—
470C4×D4—134no—
471C4×D4—134no—
472C4×D4—134no—
473C4×D4—134no—
474C4×D4—134no—
475C4×D4C2×#26114yes—
476#117—131no—
477#117—132no—
478#117—132no—
479#117—132no—
480#117C2×#26111yescharacteristic
481C2×C4⋊C4—132no—
482C2×C4⋊C4—134no—
483C2×C22⋊C4—132no—
484C2×C22⋊C4—134no—
485C2×C22⋊C4—134no—
486C2×C42—132no—
487C4⋊C8—138no—
488C4⋊C8—138no—
489C22⋊C8—138no—
490C22⋊C8—134no—
491C22⋊C8—134no—
492C22⋊C8—138no—
493C22⋊C8—138no—
494C22⋊C8—134no—
495C22⋊C8—134no—
496C22⋊C8—138no—
497#97—138no—
498C4×C8—138no—
499C2×C13—24no—
500C2×C13—41no—
501C2×C13—42no—
502C2×C13C2×#51811yescharacteristic
503C2×C13C22×#13112yes—
504D13—24no—
505D13—42no—
506D13—41no—
507D13#297714yescomplemented
508C24—132no—
509C24—131no—
510C24—132no—
511C24—131no—
512C24—132no—
513C24—268no—
514C24—522no—
515C24C22×#26111yescharacteristic
516#41—42no—
517#41—522no—
518#41—524no—
519#41—522no—
520#41—522no—
521#41—522no—
522#41—522no—
523C2×Q8—131no—
524C2×Q8—132no—
525C2×Q8—522no—
526C2×Q8C22×#26111yescharacteristic
527C2×D4—134no—
528C2×D4—134no—
529C2×D4—132no—
530C2×D4—132no—
531C2×D4—132no—
532C2×D4—134no—
533C2×D4—132no—
534C2×D4—131no—
535C2×D4—2616no—
536C2×D4—522no—
537C2×D4—524no—
538C2×D4C22×#26114yes—
539C2×D4C22×#26112yes—
540C2×D4C22×#26111yescharacteristic
541C22×C4—42no—
542C22×C4—131no—
543C22×C4—131no—
544C22×C4—132no—
545C22×C4—132no—
546C22×C4—132no—
547C22×C4—131no—
548C22×C4—131no—
549C22×C4—132no—
550C22×C4—132no—
551C22×C4—134no—
552C22×C4—132no—
553C22×C4—132no—
554C22×C4—131no—
555C22×C4—131no—
556C22×C4—132no—
557C22×C4—132no—
558C22×C4—132no—
559C22×C4—132no—
560C22×C4—132no—
561C22×C4—268no—
562C22×C4—264no—
563C22×C4—264no—
564C22×C4—264no—
565C22×C4—524no—
566C22×C4—522no—
567C22×C4—522no—
568C22×C4—524no—
569C22×C4—522no—
570C22×C4—524no—
571C22×C4—522no—
572C22×C4C22×#26111yescharacteristic
573C22×C4C22×#26112yes—
574C22×C4C22×#26112yes—
575C22×C4C22×#26112yes—
576C22×C4C22×#26111yescharacteristic
577M16—524no—
578M16—524no—
579C2×C8—138no—
580C2×C8—138no—
581C2×C8—268no—
582C2×C8—268no—
583C2×C8—524no—
584C2×C8—528no—
585C2×C8—524no—
586C2×C8—528no—
587C4⋊C4—134no—
588C4⋊C4—132no—
589C4⋊C4—134no—
590C4⋊C4—134no—
591C4⋊C4—134no—
592C4⋊C4C22×#26112yes—
593C4⋊C4C22×#26114yes—
594C22⋊C4—132no—
595C22⋊C4—134no—
596C22⋊C4—134no—
597C22⋊C4—134no—
598C22⋊C4—134no—
599C22⋊C4—134no—
600C22⋊C4—134no—
601C22⋊C4—134no—
602C22⋊C4C22×#26112yes—
603C22⋊C4C22×#26114yes—
604C22⋊C4C22×#26114yes—
605C42—134no—
606C42—132no—
607C42C22×#26112yes—
608C13C2×#297711yescharacteristic, complemented, Sylow
609C23—24no—
610C23—41no—
611C23—131no—
612C23—138no—
613C23—132no—
614C23—131no—
615C23—132no—
616C23—264no—
617C23—264no—
618C23—262no—
619C23—264no—
620C23—268no—
621C23—264no—
622C23—264no—
623C23—264no—
624C23—264no—
625C23—522no—
626C23—521no—
627C23—5216no—
628C23C23×#26111yescharacteristic
629C23C23×#26112yes—
630C23C23×#26112yes—
631Q8—41no—
632Q8—521no—
633Q8—522no—
634D4—28no—
635D4—41no—
636D4—42no—
637D4—268no—
638D4—268no—
639D4—268no—
640D4—521no—
641D4—522no—
642D4—522no—
643D4—522no—
644D4—522no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—131no—
651C2×C4—134no—
652C2×C4—134no—
653C2×C4—132no—
654C2×C4—132no—
655C2×C4—131no—
656C2×C4—264no—
657C2×C4—262no—
658C2×C4—262no—
659C2×C4—262no—
660C2×C4—264no—
661C2×C4—262no—
662C2×C4—264no—
663C2×C4—268no—
664C2×C4—264no—
665C2×C4—262no—
666C2×C4—262no—
667C2×C4—262no—
668C2×C4—264no—
669C2×C4—262no—
670C2×C4—264no—
671C2×C4—522no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—521no—
675C2×C4—522no—
676C2×C4C23×#26114yes—
677C2×C4C23×#26112yes—
678C2×C4C23×#26112yes—
679C2×C4C23×#26111yescharacteristic
680C2×C4C23×#26111yescharacteristic
681C8—268no—
682C8—268no—
683C22—22no—
684C22—22no—
685C22—21no—
686C22—22no—
687C22—24no—
688C22—22no—
689C22—44no—
690C22—132no—
691C22—134no—
692C22—134no—
693C22—2616no—
694C22—262no—
695C22—262no—
696C22—261no—
697C22—262no—
698C22—264no—
699C22—262no—
700C22—528no—
701C22—528no—
702C22—524no—
703C22—524no—
704C22D13⋊#13114yes—
705C22C24×#26111yescharacteristic
706C4—22no—
707C4—21no—
708C4—22no—
709C4—24no—
710C4—132no—
711C4—262no—
712C4—261no—
713C4—262no—
714C4—264no—
715C4#1171962312yes—
716C2—24no—
717C2—41no—
718C2—42no—
719C2—134no—
720C2—264no—
721C2—521no—
722C2—522no—
723C2C2×#1171962311yescharacteristic
724C2C2×D13⋊#13112yes—
subgroupG/H
centerC2×C4C23×#261
commutator, socleC22×C13C24×C4
FrattiniC22C24×#261
FittingC13×#525C4
prime radicalD13×#525C2
cosocleC2×Dic13C25
hypercenter#525#261
hypocenterC13C2×#2977
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #525

Complements

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

NH ≅ G/Ntype
1. #13131711C2semidirect
2. #13131710C2semidirect
3. #13131709C2semidirect
4. #13131708C2semidirect
5. D13⋊#435C2semidirect
6. D4×D13⋊C8C2semidirect
7. D13⋊#433C2semidirect
8. D13⋊#408C2semidirect
9. C2×D13⋊(C22⋊C8)C2semidirect
13. C2×D13⋊M16C22semidirect
15. C22×D13⋊C8C22semidirect
31. C2×C22⋊#1057C22semidirect
32. #11719159C22semidirect
33. #11719147C22semidirect
34. #11719146C22semidirect
35. #11719146C22semidirect
36. #11719144C22semidirect
37. D4×#1057C22semidirect
41. D13⋊(C22⋊C8)C22semidirect
42. D13⋊(C22⋊C8)C22semidirect
43. D13⋊(C22⋊C8)C22semidirect
44. C2×#88111C22semidirect
45. #11719077C22semidirect
46. #11719075C22semidirect
47. #11719073C22semidirect
48. #11719068C22semidirect
49. #11719065C22semidirect
50. #11719064C22semidirect
51. #11719063C22semidirect
52. #11719063C22semidirect
53. D13⋊(C4⋊C8)C22semidirect
54. #11719047C22semidirect
55. C4×D13⋊C8C22semidirect
80. C2×#6122C23semidirect
82. C22×#1057C23semidirect
84. C2×#6118C23semidirect
90. C2×D13⋊C8C23semidirect
137. C22⋊#1057C23semidirect
138. #88112C23semidirect
142. #88111C23semidirect
143. #88110C23semidirect
144. C4⋊#1057C23semidirect
145. C4×#1057C23semidirect
507. D13#2977semidirect
608. C13C2×#2977semidirect

Maximal subgroups

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

subgroupindex
#131317112
#131317102
#131317092
#131317082
D13⋊#4352
D4×D13⋊C82
D13⋊#4332
D13⋊#4082
C2×D13⋊(C22⋊C8)2
D13×#5252
C2×#297713