Finite Group Databasebeta

← C13×#18347 #15704686

Subgroups — C13×#18347 #15704686

Order 3328.

1072 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3490C211yesmaximal, characteristic
2C13×#3196C212yesmaximal, complemented
3C13×#2626C211yesmaximal, characteristic, complemented
4C13×#1618C212yesmaximal, complemented
5C13×#1614C211yesmaximal, characteristic, complemented
6C13×#1613C211yesmaximal, characteristic, complemented
7C13×#1606C212yesmaximal, complemented
8C13×#1602C211yesmaximal, characteristic, complemented
9C13×#1601C211yesmaximal, characteristic, complemented
10C13×#1513C212yesmaximal, complemented
11C13×#1462C211yesmaximal, characteristic, complemented
12C13×#551—22no—
13C13×#551—22no—
14C13×#546—22no—
15C13×#546—22no—
16C13×#543C2211yescharacteristic
17C13×#538—21no—
18C13×#538C2212yes—
19C13×#534C2211yescharacteristic
20C13×#525—21no—
21C13×#525C2212yes—
22C2×C13×C22⋊Q8C2211yescharacteristic, complemented
23C2×C13×#120—21no—
24C13×#518—21no—
25C22×C13×C22⋊C4C2211yescharacteristic
26C13×#485—22no—
27C13×#484C2212yescomplemented
28C13×#481C2212yescomplemented
29C13×#470—22no—
30C13×#468—22no—
31C13×#452—22no—
32C13×#451C2212yescomplemented
33C13×#448C2212yescomplemented
34C13×#407C2212yescomplemented
35C13×#399C2211yescharacteristic
36C13×#399C2211yescharacteristic, complemented
37C13×#396—21no—
38C13×#396—21no—
39C13×#393C2211yescharacteristic
40C13×#393C2211yescharacteristic, complemented
41C13×#385—21no—
42C13×#380C2211yescharacteristic, complemented
43C13×#379—21no—
44C13×#328C2212yescomplemented
45C13×#328C2212yescomplemented
46C13×#327C2212yescomplemented
47C13×#327C2212yescomplemented
48C13×#323C2211yescharacteristic
49C13×#323C2211yescharacteristic
50C13×#323C2212yescomplemented
51C25×C13D411yescharacteristic
52C2×C13×#41—21no—
53C2×C13×#41D412yes—
54C22×Q8×C13C2311yescharacteristic
55C22×D4×C13—21no—
56C22×D4×C13—21no—
57C22×D4×C13—21no—
58C23×C4×C13D411yescharacteristic
59C23×C4×C13C2311yescharacteristic
60C2×C13×Q16—22no—
61C2×C13×SD16—22no—
62C2×C13×M16—22no—
63C13×#126—22no—
64C13×#126—22no—
65C13×#124—22no—
66C13×#124—22no—
67C13×#123—22no—
68C13×#123—22no—
69C13×#123—22no—
70C13×#123—22no—
71C13×#123—22no—
72C13×C22⋊Q8—21no—
73C13×C22⋊Q8—22no—
74C13×C22⋊Q8—21no—
75C13×C22⋊Q8—22no—
76C13×C22⋊Q8—22no—
77C13×C22⋊Q8—22no—
78C13×C22⋊Q8D412yes—
79C13×C22⋊Q8C2312yes—
80C13×#121—21no—
81C13×#121—22no—
82C13×#121—22no—
83C13×#121—21no—
84C13×#121D412yes—
85C13×#121C2312yes—
86C13×#120—22no—
87C13×#120—22no—
88C13×#120—22no—
89C13×#120—22no—
90C13×#120—22no—
91C4×D4×C13—22no—
92C4×D4×C13—22no—
93C4×D4×C13—22no—
94C4×D4×C13—22no—
95C4×D4×C13—22no—
96C4×D4×C13—22no—
97C13×#117—22no—
98C13×#117—21no—
99C13×#117D412yes—
100C2×C13×C4⋊C4—21no—
101C2×C13×C4⋊C4—21no—
102C2×C13×C4⋊C4—21no—
103C2×C13×C4⋊C4—21no—
104C2×C13×C4⋊C4C2311yescharacteristic
105C2×C13×C22⋊C4—22no—
106C2×C13×C22⋊C4—21no—
107C2×C13×C22⋊C4—21no—
108C2×C13×C22⋊C4—21no—
109C2×C13×C22⋊C4—22no—
110C2×C13×C22⋊C4—22no—
111C2×C13×C22⋊C4—21no—
112C2×C13×C22⋊C4—21no—
113C2×C13×C22⋊C4—21no—
114C2×C13×C22⋊C4—21no—
115C2×C13×C22⋊C4—21no—
116C2×C13×C22⋊C4—21no—
117C2×C13×C22⋊C4D411yescharacteristic
118C2×C13×C22⋊C4D411yescharacteristic
119C2×C13×C22⋊C4C2311yescharacteristic
120C2×C13×C22⋊C4C2311yescharacteristic
121C13×#107—22no—
122C13×#106—22no—
123C13×#103—22no—
124C13×#103—22no—
125C13×#103—22no—
126C13×#102—22no—
127C13×C22⋊C8—22no—
128C13×C22⋊C8C2312yes—
129C13×C22⋊C8C2312yes—
130C13×#95—21no—
131C13×#95—21no—
132C13×#95C2311yescharacteristic
133C13×#95C2311yescharacteristic
134#18347C1311yesmaximal, characteristic, direct product factor, Sylow
135C24×C13—21no—
136C24×C13—21no—
137C24×C13—21no—
138C24×C13—22no—
139C24×C13—41no—
140C24×C13—81no—
141C24×C13—81no—
142C24×C13C2×D411yescharacteristic
143C24×C13C2×D411yescharacteristic
144C24×C13C2×D411yescharacteristic
145C13×#41—82no—
146C13×#41—82no—
147C2×Q8×C13—21no—
148C2×Q8×C13—22no—
149C2×Q8×C13—81no—
150C2×Q8×C13C2×D412yes—
151C2×D4×C13—22no—
152C2×D4×C13—22no—
153C2×D4×C13—22no—
154C2×D4×C13—22no—
155C2×D4×C13—21no—
156C2×D4×C13—22no—
157C2×D4×C13—22no—
158C2×D4×C13—42no—
159C2×D4×C13—42no—
160C2×D4×C13—82no—
161C2×D4×C13—82no—
162C2×D4×C13C2×D412yes—
163C22×C4×C13—21no—
164C22×C4×C13—21no—
165C22×C4×C13—21no—
166C22×C4×C13—21no—
167C22×C4×C13—22no—
168C22×C4×C13—21no—
169C22×C4×C13—22no—
170C22×C4×C13—21no—
171C22×C4×C13—21no—
172C22×C4×C13—21no—
173C22×C4×C13—21no—
174C22×C4×C13—81no—
175C22×C4×C13—81no—
176C22×C4×C13C2×D411yescharacteristic
177C22×C4×C13C2×D411yescharacteristic
178C22×C4×C13C2×D411yescharacteristic
179C22×C4×C13C2×D412yes—
180C22×C4×C13C2×D412yes—
181C22×C4×C13C2411yescharacteristic
182C13×Q16—82no—
183C13×SD16—82no—
184C13×M16—82no—
185C2×C8×C13—22no—
186C2×C8×C13—22no—
187C13×C4⋊C4—22no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—22no—
191C13×C4⋊C4—22no—
192C13×C4⋊C4—22no—
193C13×C4⋊C4—22no—
194C13×C4⋊C4—42no—
195C13×C4⋊C4—81no—
196C13×C4⋊C4—81no—
197C13×C4⋊C4—81no—
198C13×C4⋊C4C2×D412yes—
199C13×C4⋊C4C2×D412yes—
200C13×C22⋊C4—22no—
201C13×C22⋊C4—22no—
202C13×C22⋊C4—22no—
203C13×C22⋊C4—22no—
204C13×C22⋊C4—22no—
205C13×C22⋊C4—22no—
206C13×C22⋊C4—22no—
207C13×C22⋊C4—22no—
208C13×C22⋊C4—22no—
209C13×C22⋊C4—22no—
210C13×C22⋊C4—22no—
211C13×C22⋊C4—22no—
212C13×C22⋊C4—22no—
213C13×C22⋊C4—22no—
214C13×C22⋊C4—42no—
215C13×C22⋊C4—41no—
216C13×C22⋊C4—41no—
217C13×C22⋊C4—81no—
218C13×C22⋊C4—81no—
219C13×C22⋊C4—81no—
220C13×C22⋊C4—81no—
221C42×C13—22no—
222C42×C13—22no—
223#3490C2×C1311yescharacteristic
224#3196C2×C1312yescomplemented
225#2626C2×C1311yescharacteristic, complemented
226#1618C2×C1312yescomplemented
227#1614C2×C1311yescharacteristic, complemented
228#1613C2×C1311yescharacteristic, complemented
229#1606C2×C1312yescomplemented
230#1602C2×C1311yescharacteristic, complemented
231#1601C2×C1311yescharacteristic, complemented
232#1513C2×C1312yescomplemented
233#1462C2×C1311yescharacteristic, complemented
234C23×C13—21no—
235C23×C13—21no—
236C23×C13—21no—
237C23×C13—21no—
238C23×C13—21no—
239C23×C13—22no—
240C23×C13—21no—
241C23×C13—21no—
242C23×C13—41no—
243C23×C13—41no—
244C23×C13—42no—
245C23×C13—42no—
246C23×C13—41no—
247C23×C13—41no—
248C23×C13—41no—
249C23×C13—41no—
250C23×C13—42no—
251C23×C13—42no—
252C23×C13—42no—
253C23×C13—81no—
254C23×C13—81no—
255C23×C13—84no—
256C23×C13—81no—
257C23×C13—81no—
258C23×C13—84no—
259C23×C13#12011yescharacteristic
260C23×C13#12011yescharacteristic
261C23×C13#13712yes—
262C23×C13C22×D411yescharacteristic
263Q8×C13—42no—
264Q8×C13—42no—
265Q8×C13—42no—
266Q8×C13—81no—
267D4×C13—42no—
268D4×C13—44no—
269D4×C13—44no—
270D4×C13—44no—
271D4×C13—42no—
272D4×C13—42no—
273D4×C13—82no—
274D4×C13—82no—
275D4×C13—81no—
276C2×C4×C13—22no—
277C2×C4×C13—21no—
278C2×C4×C13—22no—
279C2×C4×C13—22no—
280C2×C4×C13—21no—
281C2×C4×C13—41no—
282C2×C4×C13—42no—
283C2×C4×C13—42no—
284C2×C4×C13—41no—
285C2×C4×C13—42no—
286C2×C4×C13—42no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13—41no—
292C2×C4×C13—41no—
293C2×C4×C13—41no—
294C2×C4×C13—41no—
295C2×C4×C13—41no—
296C2×C4×C13—41no—
297C2×C4×C13—41no—
298C2×C4×C13—41no—
299C2×C4×C13—41no—
300C2×C4×C13—41no—
301C2×C4×C13—82no—
302C2×C4×C13—81no—
303C2×C4×C13—81no—
304C2×C4×C13—81no—
305C2×C4×C13—82no—
306C2×C4×C13#12012yes—
307C2×C4×C13C22×D412yes—
308C8×C13—42no—
309C8×C13—42no—
310#551—22no—
311#551—22no—
312#546—22no—
313#546—22no—
314#543C22×C1311yescharacteristic
315#538—21no—
316#538C22×C1312yes—
317#534C22×C1311yescharacteristic
318#525—21no—
319#525C22×C1312yes—
320C2×C22⋊Q8C22×C1311yescharacteristic, complemented
321C2×#120—21no—
322#518—21no—
323C22×C22⋊C4C22×C1311yescharacteristic
324#485—22no—
325#484C22×C1312yescomplemented
326#481C22×C1312yescomplemented
327#470—22no—
328#468—22no—
329#452—22no—
330#451C22×C1312yescomplemented
331#448C22×C1312yescomplemented
332#407C22×C1312yescomplemented
333#399C22×C1311yescharacteristic
334#399C22×C1311yescharacteristic, complemented
335#396—21no—
336#396—21no—
337#393C22×C1311yescharacteristic
338#393C22×C1311yescharacteristic, complemented
339#385—21no—
340#380C22×C1311yescharacteristic, complemented
341#379—21no—
342#328C22×C1312yescomplemented
343#328C22×C1312yescomplemented
344#327C22×C1312yescomplemented
345#327C22×C1312yescomplemented
346#323C22×C1311yescharacteristic
347#323C22×C1311yescharacteristic
348#323C22×C1312yescomplemented
349C22×C13—21no—
350C22×C13—21no—
351C22×C13—22no—
352C22×C13—21no—
353C22×C13—21no—
354C22×C13—21no—
355C22×C13—21no—
356C22×C13—21no—
357C22×C13—21no—
358C22×C13—42no—
359C22×C13—42no—
360C22×C13—42no—
361C22×C13—42no—
362C22×C13—41no—
363C22×C13—41no—
364C22×C13—42no—
365C22×C13—41no—
366C22×C13—42no—
367C22×C13—41no—
368C22×C13—42no—
369C22×C13—41no—
370C22×C13—81no—
371C22×C13—81no—
372C22×C13—84no—
373C22×C13—84no—
374C22×C13—162no—
375C22×C13C2×#12011yescharacteristic
376C22×C13C2×#13711yescharacteristic
377C22×C13#57511yescharacteristic
378C4×C13—22no—
379C4×C13—22no—
380C4×C13—42no—
381C4×C13—41no—
382C4×C13—41no—
383C4×C13—42no—
384C4×C13—42no—
385C4×C13—81no—
386C4×C13—81no—
387C4×C13—81no—
388C4×C13—81no—
389C25D4×C1311yescharacteristic
390C2×#41—21no—
391C2×#41D4×C1312yes—
392C22×Q8C23×C1311yescharacteristic
393C22×D4—21no—
394C22×D4—21no—
395C22×D4—21no—
396C23×C4D4×C1311yescharacteristic
397C23×C4C23×C1311yescharacteristic
398C2×Q16—22no—
399C2×SD16—22no—
400C2×M16—22no—
401#126—22no—
402#126—22no—
403#124—22no—
404#124—22no—
405#123—22no—
406#123—22no—
407#123—22no—
408#123—22no—
409#123—22no—
410C22⋊Q8—21no—
411C22⋊Q8—22no—
412C22⋊Q8—21no—
413C22⋊Q8—22no—
414C22⋊Q8—22no—
415C22⋊Q8—22no—
416C22⋊Q8D4×C1312yes—
417C22⋊Q8C23×C1312yes—
418#121—21no—
419#121—22no—
420#121—22no—
421#121—21no—
422#121D4×C1312yes—
423#121C23×C1312yes—
424#120—22no—
425#120—22no—
426#120—22no—
427#120—22no—
428#120—22no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4—22no—
434C4×D4—22no—
435#117—22no—
436#117—21no—
437#117D4×C1312yes—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—21no—
442C2×C4⋊C4C23×C1311yescharacteristic
443C2×C22⋊C4—22no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—22no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4D4×C1311yescharacteristic
456C2×C22⋊C4D4×C1311yescharacteristic
457C2×C22⋊C4C23×C1311yescharacteristic
458C2×C22⋊C4C23×C1311yescharacteristic
459#107—22no—
460#106—22no—
461#103—22no—
462#103—22no—
463#103—22no—
464#102—22no—
465C22⋊C8—22no—
466C22⋊C8C23×C1312yes—
467C22⋊C8C23×C1312yes—
468#95—21no—
469#95—21no—
470#95C23×C1311yescharacteristic
471#95C23×C1311yescharacteristic
472C2×C13—21no—
473C2×C13—21no—
474C2×C13—41no—
475C2×C13—41no—
476C2×C13—42no—
477C2×C13—81no—
478C2×C13—82no—
479C2×C13#300711yescharacteristic
480C2×C13#301911yescharacteristic
481C2×C13#302611yescharacteristic
482C24—21no—
483C24—21no—
484C24—21no—
485C24—22no—
486C24—41no—
487C24—81no—
488C24—81no—
489C24C2×D4×C1311yescharacteristic
490C24C2×D4×C1311yescharacteristic
491C24C2×D4×C1311yescharacteristic
492#41—82no—
493#41—82no—
494C2×Q8—21no—
495C2×Q8—22no—
496C2×Q8—81no—
497C2×Q8C2×D4×C1312yes—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—82no—
508C2×D4—82no—
509C2×D4C2×D4×C1312yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4C2×D4×C1311yescharacteristic
524C22×C4C2×D4×C1311yescharacteristic
525C22×C4C2×D4×C1311yescharacteristic
526C22×C4C2×D4×C1312yes—
527C22×C4C2×D4×C1312yes—
528C22×C4C24×C1311yescharacteristic
529Q16—82no—
530SD16—82no—
531M16—82no—
532C2×C8—22no—
533C2×C8—22no—
534C4⋊C4—22no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—42no—
542C4⋊C4—81no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4C2×D4×C1312yes—
546C4⋊C4C2×D4×C1312yes—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—42no—
562C22⋊C4—41no—
563C22⋊C4—41no—
564C22⋊C4—81no—
565C22⋊C4—81no—
566C22⋊C4—81no—
567C22⋊C4—81no—
568C42—22no—
569C42—22no—
570C13#1834711yescharacteristic, direct product factor, Sylow
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—21no—
578C23—21no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—42no—
588C23—42no—
589C23—42no—
590C23—81no—
591C23—81no—
592C23—84no—
593C23—81no—
594C23—81no—
595C23—84no—
596C23C13×#12011yescharacteristic
597C23C13×#12011yescharacteristic
598C23C13×#13712yes—
599C23C22×D4×C1311yescharacteristic
600Q8—42no—
601Q8—42no—
602Q8—42no—
603Q8—81no—
604D4—42no—
605D4—44no—
606D4—44no—
607D4—44no—
608D4—42no—
609D4—42no—
610D4—82no—
611D4—82no—
612D4—81no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—82no—
639C2×C4—81no—
640C2×C4—81no—
641C2×C4—81no—
642C2×C4—82no—
643C2×C4C13×#12012yes—
644C2×C4C22×D4×C1312yes—
645C8—42no—
646C8—42no—
647C22—21no—
648C22—21no—
649C22—22no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—41no—
661C22—41no—
662C22—42no—
663C22—41no—
664C22—42no—
665C22—41no—
666C22—42no—
667C22—41no—
668C22—81no—
669C22—81no—
670C22—84no—
671C22—84no—
672C22—162no—
673C22C2×C13×#12011yescharacteristic
674C22C2×C13×#13711yescharacteristic
675C22C13×#57511yescharacteristic
676C4—22no—
677C4—22no—
678C4—42no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—42no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4—81no—
687C2—21no—
688C2—21no—
689C2—41no—
690C2—41no—
691C2—42no—
692C2—81no—
693C2—82no—
694C2C13×#300711yescharacteristic
695C2C13×#301911yescharacteristic
696C2C13×#302611yescharacteristic
subgroupG/H
center, socleC22×C13C2×#120
commutator, Frattini, cosocleC22×C4C24×C13
prime radicalC13×#3490C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C13 ◁ C23×C4×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C13×#3196C2semidirect
3. C13×#2626C2semidirect
4. C13×#1618C2semidirect
5. C13×#1614C2semidirect
6. C13×#1613C2semidirect
7. C13×#1606C2semidirect
8. C13×#1602C2semidirect
9. C13×#1601C2semidirect
10. C13×#1513C2semidirect
11. C13×#1462C2semidirect
22. C2×C13×C22⋊Q8C22semidirect
27. C13×#484C22semidirect
28. C13×#481C22semidirect
32. C13×#451C22semidirect
33. C13×#448C22semidirect
34. C13×#407C22semidirect
36. C13×#399C22semidirect
40. C13×#393C22semidirect
42. C13×#380C22semidirect
44. C13×#328C22semidirect
45. C13×#328C22semidirect
46. C13×#327C22semidirect
47. C13×#327C22semidirect
50. C13×#323C22semidirect
134. #18347C13direct (N × H)
224. #3196C2×C13semidirect
225. #2626C2×C13semidirect
226. #1618C2×C13semidirect
227. #1614C2×C13semidirect
228. #1613C2×C13semidirect
229. #1606C2×C13semidirect
230. #1602C2×C13semidirect
231. #1601C2×C13semidirect
232. #1513C2×C13semidirect
233. #1462C2×C13semidirect
320. C2×C22⋊Q8C22×C13semidirect
325. #484C22×C13semidirect
326. #481C22×C13semidirect
330. #451C22×C13semidirect
331. #448C22×C13semidirect
332. #407C22×C13semidirect
334. #399C22×C13semidirect
338. #393C22×C13semidirect
340. #380C22×C13semidirect
342. #328C22×C13semidirect
343. #328C22×C13semidirect
344. #327C22×C13semidirect
345. #327C22×C13semidirect
348. #323C22×C13semidirect
570. C13#18347direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#34902
C13×#31962
C13×#26262
C13×#16182
C13×#16142
C13×#16132
C13×#16062
C13×#16022
C13×#16012
C13×#15132
C13×#14622
#1834713