Finite Group Databasebeta

← C13×#19009 #15705348

Subgroups — C13×#19009 #15705348

Order 3328.

832 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3531C211yesmaximal, characteristic
2C13×#3238C211yesmaximal, characteristic, complemented
3C13×#3218C211yesmaximal, characteristic, complemented
4C13×#3165C211yesmaximal, characteristic, complemented
5C13×#1664C212yesmaximal, complemented
6C13×#1663C212yesmaximal, complemented
7C13×#1661C212yesmaximal, complemented
8C13×#1660C212yesmaximal, complemented
9C13×#1537C211yesmaximal, characteristic, complemented
10C13×#1529C211yesmaximal, characteristic, complemented
11C13×#1529C211yesmaximal, characteristic, complemented
12C13×#564C2211yescharacteristic
13C13×#563—21no—
14C13×#563—21no—
15C13×#563—21no—
16C13×#563—21no—
17C13×#563C2211yescharacteristic
18C13×#563C2211yescharacteristic
19C13×#562—21no—
20C13×#562—21no—
21C13×#562C2211yescharacteristic
22C13×#533—21no—
23C13×#533—21no—
24C13×#533C2211yescharacteristic
25C2×C13×C4⋊Q8C2211yescharacteristic
26C13×#529—21no—
27C13×#529—21no—
28C13×#529—21no—
29C13×#529—21no—
30C13×#529C2211yescharacteristic
31C13×#529C2211yescharacteristic
32C13×#501C2212yes—
33C13×#501C2212yes—
34C13×#501C2212yes—
35C13×#500—21no—
36C13×#498—21no—
37C13×#497C2212yes—
38C13×#491C2212yes—
39C13×#489C2212yes—
40C13×#483—21no—
41C13×#480—21no—
42C13×#477—21no—
43C13×#476—21no—
44C13×#462—21no—
45C13×#461—21no—
46C13×#451—21no—
47C13×#448—21no—
48C13×#432C2211yescharacteristic
49C13×#432C2211yescharacteristic
50C13×#428—21no—
51C13×#428—21no—
52C4×C13×M16C2211yescharacteristic
53C13×#330C2212yes—
54C13×#330C2212yes—
55C13×#330C2212yes—
56C13×#330C2212yes—
57C13×#329C2212yes—
58C13×#329C2212yes—
59C22×Q8×C13—21no—
60C2×C13×Q16—22no—
61C2×C13×SD16—22no—
62C2×C13×M16—21no—
63C13×C4⋊Q8—21no—
64C13×C4⋊Q8—21no—
65C13×C4⋊Q8—21no—
66C13×C4⋊Q8—21no—
67C13×C4⋊Q8—21no—
68C13×C4⋊Q8—21no—
69C13×C4⋊Q8—21no—
70C13×C4⋊Q8D411yescharacteristic
71C13×C4⋊Q8D411yescharacteristic
72C13×C4⋊Q8C2312yes—
73C13×#126—21no—
74C13×#126—21no—
75C13×#126—21no—
76C13×#126—21no—
77C13×#126—21no—
78C13×#126—21no—
79C13×#126—21no—
80C13×#126—21no—
81C13×#126—21no—
82C13×#126—21no—
83C13×#125—21no—
84C13×#125—21no—
85C13×#125—21no—
86C13×#125—21no—
87C13×#125—21no—
88C13×#125—21no—
89C13×#125—21no—
90C13×#125—21no—
91C13×#125C2311yescharacteristic
92C13×#125C2311yescharacteristic
93C13×#125C2311yescharacteristic
94C13×#125C2311yescharacteristic
95C13×#124—21no—
96C13×#124—21no—
97C13×#124—21no—
98C13×#124—21no—
99C13×#124C2311yescharacteristic
100C13×#124C2311yescharacteristic
101C13×#123—21no—
102C13×#123—21no—
103C13×#123—21no—
104C13×#123—21no—
105C13×#123—21no—
106C13×#123—21no—
107C13×#123—21no—
108C13×#123—21no—
109C13×#123—21no—
110C13×#123—21no—
111C13×C22⋊Q8—21no—
112C13×C22⋊Q8—21no—
113C13×C22⋊Q8—21no—
114C13×C22⋊Q8—21no—
115C13×C22⋊Q8—21no—
116C13×C22⋊Q8—21no—
117C13×C22⋊Q8—21no—
118C13×C22⋊Q8—21no—
119C13×C22⋊Q8—21no—
120C13×C22⋊Q8—21no—
121C13×C22⋊Q8—21no—
122C13×C22⋊Q8—21no—
123C13×C22⋊Q8—21no—
124C13×C22⋊Q8—21no—
125C13×C22⋊Q8D411yescharacteristic
126C13×C22⋊Q8D411yescharacteristic
127C13×#121—21no—
128C13×#121—21no—
129C13×#121—21no—
130C13×#121—21no—
131C13×#121D411yescharacteristic
132C13×#121D411yescharacteristic
133C4×Q8×C13—21no—
134C4×Q8×C13—21no—
135C4×Q8×C13—21no—
136C4×Q8×C13—21no—
137C4×Q8×C13D411yescharacteristic
138C4×Q8×C13D411yescharacteristic
139C4×D4×C13—21no—
140C4×D4×C13—21no—
141C4×D4×C13—21no—
142C4×D4×C13—21no—
143C4×D4×C13D411yescharacteristic
144C4×D4×C13D411yescharacteristic
145C13×#117—21no—
146C13×#117—21no—
147C13×#117—21no—
148C13×#117—21no—
149C13×#117D411yescharacteristic
150C13×#117D411yescharacteristic
151C2×C13×C4⋊C4—21no—
152C2×C13×C4⋊C4—21no—
153C2×C42×C13—21no—
154C2×C42×C13—21no—
155C2×C42×C13C2311yescharacteristic
156C13×#107—22no—
157C13×#107—22no—
158C13×#107—22no—
159C13×#106—22no—
160C13×#106—22no—
161C13×#106—22no—
162C13×C4⋊C8—21no—
163C13×C4⋊C8—21no—
164C13×#103—22no—
165C13×#103—22no—
166C13×#103—22no—
167C13×#102—22no—
168C13×C22⋊C8—21no—
169C13×C22⋊C8—21no—
170C13×#97C2312yes—
171C13×#97C2312yes—
172C13×#97C2312yes—
173C4×C8×C13—21no—
174#19009C1311yesmaximal, characteristic, direct product factor, Sylow
175C2×Q8×C13—21no—
176C2×Q8×C13—21no—
177C2×Q8×C13—21no—
178C2×Q8×C13—21no—
179C2×Q8×C13—22no—
180C2×Q8×C13—41no—
181C2×Q8×C13—82no—
182C2×Q8×C13C2×D411yescharacteristic
183C2×Q8×C13C2×D411yescharacteristic
184C2×D4×C13—21no—
185C2×D4×C13—21no—
186C2×D4×C13—21no—
187C2×D4×C13—21no—
188C2×D4×C13C2×D411yescharacteristic
189C2×D4×C13C2×D411yescharacteristic
190C22×C4×C13—21no—
191C22×C4×C13—21no—
192C22×C4×C13—21no—
193C22×C4×C13—21no—
194C22×C4×C13—21no—
195C22×C4×C13—21no—
196C22×C4×C13—41no—
197C22×C4×C13C2×D411yescharacteristic
198C22×C4×C13C2×D411yescharacteristic
199C22×C4×C13C2×D411yescharacteristic
200C13×Q16—82no—
201C13×SD16—82no—
202C13×M16—24no—
203C2×C8×C13—22no—
204C2×C8×C13—22no—
205C2×C8×C13—22no—
206C13×C4⋊C4—21no—
207C13×C4⋊C4—21no—
208C13×C4⋊C4—21no—
209C13×C4⋊C4—21no—
210C13×C4⋊C4—21no—
211C13×C4⋊C4—21no—
212C13×C4⋊C4—21no—
213C13×C4⋊C4—21no—
214C13×C4⋊C4—21no—
215C13×C4⋊C4—21no—
216C13×C4⋊C4—21no—
217C13×C4⋊C4—21no—
218C13×C4⋊C4—21no—
219C13×C4⋊C4—21no—
220C13×C4⋊C4—21no—
221C13×C4⋊C4—21no—
222C13×C4⋊C4—21no—
223C13×C4⋊C4—21no—
224C13×C4⋊C4—21no—
225C13×C4⋊C4—21no—
226C13×C4⋊C4—21no—
227C13×C4⋊C4—21no—
228C13×C4⋊C4—21no—
229C13×C4⋊C4—21no—
230C13×C4⋊C4—21no—
231C13×C4⋊C4—21no—
232C13×C4⋊C4—22no—
233C13×C4⋊C4—22no—
234C13×C4⋊C4—41no—
235C13×C4⋊C4—41no—
236C13×C4⋊C4C2×D411yescharacteristic
237C13×C4⋊C4C2×D411yescharacteristic
238C13×C4⋊C4C2×D411yescharacteristic
239C13×C4⋊C4C2×D411yescharacteristic
240C13×C4⋊C4C2×D411yescharacteristic
241C13×C4⋊C4C2×D411yescharacteristic
242C13×C4⋊C4C2×D411yescharacteristic
243C13×C4⋊C4C2×D411yescharacteristic
244C13×C22⋊C4—21no—
245C13×C22⋊C4—21no—
246C13×C22⋊C4—21no—
247C13×C22⋊C4—21no—
248C13×C22⋊C4—21no—
249C13×C22⋊C4—21no—
250C13×C22⋊C4—21no—
251C13×C22⋊C4—21no—
252C13×C22⋊C4—21no—
253C13×C22⋊C4—21no—
254C13×C22⋊C4—21no—
255C13×C22⋊C4—21no—
256C13×C22⋊C4—21no—
257C13×C22⋊C4—21no—
258C13×C22⋊C4—21no—
259C13×C22⋊C4—21no—
260C13×C22⋊C4—21no—
261C13×C22⋊C4—21no—
262C13×C22⋊C4—21no—
263C13×C22⋊C4—21no—
264C42×C13—21no—
265C42×C13—21no—
266C42×C13—21no—
267C42×C13—21no—
268C42×C13—21no—
269C42×C13—21no—
270C42×C13—21no—
271C42×C13—21no—
272C42×C13C2×D411yescharacteristic
273C42×C13C2×D411yescharacteristic
274C42×C13C2×D411yescharacteristic
275C42×C13C2411yescharacteristic
276#3531C2×C1311yescharacteristic
277#3238C2×C1311yescharacteristic, complemented
278#3218C2×C1311yescharacteristic, complemented
279#3165C2×C1311yescharacteristic, complemented
280#1664C2×C1312yescomplemented
281#1663C2×C1312yescomplemented
282#1661C2×C1312yescomplemented
283#1660C2×C1312yescomplemented
284#1537C2×C1311yescharacteristic, complemented
285#1529C2×C1311yescharacteristic, complemented
286#1529C2×C1311yescharacteristic, complemented
287C23×C13—21no—
288C23×C13—21no—
289C23×C13#12011yescharacteristic
290Q8×C13—41no—
291Q8×C13—41no—
292Q8×C13—42no—
293Q8×C13—42no—
294Q8×C13—81no—
295Q8×C13—81no—
296Q8×C13—82no—
297Q8×C13—81no—
298Q8×C13—81no—
299D4×C13—41no—
300D4×C13—41no—
301D4×C13—81no—
302D4×C13—81no—
303D4×C13—81no—
304D4×C13—81no—
305C2×C4×C13—22no—
306C2×C4×C13—21no—
307C2×C4×C13—21no—
308C2×C4×C13—21no—
309C2×C4×C13—21no—
310C2×C4×C13—21no—
311C2×C4×C13—21no—
312C2×C4×C13—21no—
313C2×C4×C13—21no—
314C2×C4×C13—21no—
315C2×C4×C13—21no—
316C2×C4×C13—41no—
317C2×C4×C13—41no—
318C2×C4×C13—42no—
319C2×C4×C13—42no—
320C2×C4×C13—42no—
321C2×C4×C13—81no—
322C2×C4×C13—81no—
323C2×C4×C13—81no—
324C2×C4×C13—81no—
325C2×C4×C13—82no—
326C2×C4×C13#12011yescharacteristic
327C2×C4×C13#12011yescharacteristic
328C2×C4×C13#12011yescharacteristic
329C2×C4×C13C22×D411yescharacteristic
330C2×C4×C13C22×D411yescharacteristic
331C2×C4×C13C22×D411yescharacteristic
332C8×C13—24no—
333C8×C13—42no—
334C8×C13—42no—
335#564C22×C1311yescharacteristic
336#563—21no—
337#563—21no—
338#563—21no—
339#563—21no—
340#563C22×C1311yescharacteristic
341#563C22×C1311yescharacteristic
342#562—21no—
343#562—21no—
344#562C22×C1311yescharacteristic
345#533—21no—
346#533—21no—
347#533C22×C1311yescharacteristic
348C2×C4⋊Q8C22×C1311yescharacteristic
349#529—21no—
350#529—21no—
351#529—21no—
352#529—21no—
353#529C22×C1311yescharacteristic
354#529C22×C1311yescharacteristic
355#501C22×C1312yes—
356#501C22×C1312yes—
357#501C22×C1312yes—
358#500—21no—
359#498—21no—
360#497C22×C1312yes—
361#491C22×C1312yes—
362#489C22×C1312yes—
363#483—21no—
364#480—21no—
365#477—21no—
366#476—21no—
367#462—21no—
368#461—21no—
369#451—21no—
370#448—21no—
371#432C22×C1311yescharacteristic
372#432C22×C1311yescharacteristic
373#428—21no—
374#428—21no—
375C4×M16C22×C1311yescharacteristic
376#330C22×C1312yes—
377#330C22×C1312yes—
378#330C22×C1312yes—
379#330C22×C1312yes—
380#329C22×C1312yes—
381#329C22×C1312yes—
382C22×C13—21no—
383C22×C13—21no—
384C22×C13—21no—
385C22×C13—41no—
386C22×C13—41no—
387C22×C13—41no—
388C22×C13—41no—
389C22×C13—41no—
390C22×C13—41no—
391C22×C13C2×#12011yescharacteristic
392C4×C13—21no—
393C4×C13—21no—
394C4×C13—21no—
395C4×C13—21no—
396C4×C13—21no—
397C4×C13—41no—
398C4×C13—41no—
399C4×C13—41no—
400C4×C13—41no—
401C4×C13—41no—
402C4×C13—41no—
403C4×C13—41no—
404C4×C13—41no—
405C4×C13—41no—
406C4×C13—41no—
407C4×C13—82no—
408C4×C13#45612yes—
409C22×Q8—21no—
410C2×Q16—22no—
411C2×SD16—22no—
412C2×M16—21no—
413C4⋊Q8—21no—
414C4⋊Q8—21no—
415C4⋊Q8—21no—
416C4⋊Q8—21no—
417C4⋊Q8—21no—
418C4⋊Q8—21no—
419C4⋊Q8—21no—
420C4⋊Q8D4×C1311yescharacteristic
421C4⋊Q8D4×C1311yescharacteristic
422C4⋊Q8C23×C1312yes—
423#126—21no—
424#126—21no—
425#126—21no—
426#126—21no—
427#126—21no—
428#126—21no—
429#126—21no—
430#126—21no—
431#126—21no—
432#126—21no—
433#125—21no—
434#125—21no—
435#125—21no—
436#125—21no—
437#125—21no—
438#125—21no—
439#125—21no—
440#125—21no—
441#125C23×C1311yescharacteristic
442#125C23×C1311yescharacteristic
443#125C23×C1311yescharacteristic
444#125C23×C1311yescharacteristic
445#124—21no—
446#124—21no—
447#124—21no—
448#124—21no—
449#124C23×C1311yescharacteristic
450#124C23×C1311yescharacteristic
451#123—21no—
452#123—21no—
453#123—21no—
454#123—21no—
455#123—21no—
456#123—21no—
457#123—21no—
458#123—21no—
459#123—21no—
460#123—21no—
461C22⋊Q8—21no—
462C22⋊Q8—21no—
463C22⋊Q8—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8D4×C1311yescharacteristic
476C22⋊Q8D4×C1311yescharacteristic
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121D4×C1311yescharacteristic
482#121D4×C1311yescharacteristic
483C4×Q8—21no—
484C4×Q8—21no—
485C4×Q8—21no—
486C4×Q8—21no—
487C4×Q8D4×C1311yescharacteristic
488C4×Q8D4×C1311yescharacteristic
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—21no—
493C4×D4D4×C1311yescharacteristic
494C4×D4D4×C1311yescharacteristic
495#117—21no—
496#117—21no—
497#117—21no—
498#117—21no—
499#117D4×C1311yescharacteristic
500#117D4×C1311yescharacteristic
501C2×C4⋊C4—21no—
502C2×C4⋊C4—21no—
503C2×C42—21no—
504C2×C42—21no—
505C2×C42C23×C1311yescharacteristic
506#107—22no—
507#107—22no—
508#107—22no—
509#106—22no—
510#106—22no—
511#106—22no—
512C4⋊C8—21no—
513C4⋊C8—21no—
514#103—22no—
515#103—22no—
516#103—22no—
517#102—22no—
518C22⋊C8—21no—
519C22⋊C8—21no—
520#97C23×C1312yes—
521#97C23×C1312yes—
522#97C23×C1312yes—
523C4×C8—21no—
524C2×C13—41no—
525C2×C13—81no—
526C2×C13—81no—
527C2×C13C2×#45611yescharacteristic
528C2×C13#302111yescharacteristic
529C2×C13#302211yescharacteristic
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—22no—
535C2×Q8—41no—
536C2×Q8—82no—
537C2×Q8C2×D4×C1311yescharacteristic
538C2×Q8C2×D4×C1311yescharacteristic
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4C2×D4×C1311yescharacteristic
544C2×D4C2×D4×C1311yescharacteristic
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—41no—
552C22×C4C2×D4×C1311yescharacteristic
553C22×C4C2×D4×C1311yescharacteristic
554C22×C4C2×D4×C1311yescharacteristic
555Q16—82no—
556SD16—82no—
557M16—24no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—41no—
590C4⋊C4—41no—
591C4⋊C4C2×D4×C1311yescharacteristic
592C4⋊C4C2×D4×C1311yescharacteristic
593C4⋊C4C2×D4×C1311yescharacteristic
594C4⋊C4C2×D4×C1311yescharacteristic
595C4⋊C4C2×D4×C1311yescharacteristic
596C4⋊C4C2×D4×C1311yescharacteristic
597C4⋊C4C2×D4×C1311yescharacteristic
598C4⋊C4C2×D4×C1311yescharacteristic
599C22⋊C4—21no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C42—21no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—21no—
625C42—21no—
626C42—21no—
627C42C2×D4×C1311yescharacteristic
628C42C2×D4×C1311yescharacteristic
629C42C2×D4×C1311yescharacteristic
630C42C24×C1311yescharacteristic
631C13#1900911yescharacteristic, direct product factor, Sylow
632C23—21no—
633C23—21no—
634C23C13×#12011yescharacteristic
635Q8—41no—
636Q8—41no—
637Q8—42no—
638Q8—42no—
639Q8—81no—
640Q8—81no—
641Q8—82no—
642Q8—81no—
643Q8—81no—
644D4—41no—
645D4—41no—
646D4—81no—
647D4—81no—
648D4—81no—
649D4—81no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—82no—
671C2×C4C13×#12011yescharacteristic
672C2×C4C13×#12011yescharacteristic
673C2×C4C13×#12011yescharacteristic
674C2×C4C22×D4×C1311yescharacteristic
675C2×C4C22×D4×C1311yescharacteristic
676C2×C4C22×D4×C1311yescharacteristic
677C8—24no—
678C8—42no—
679C8—42no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22C2×C13×#12011yescharacteristic
690C4—21no—
691C4—21no—
692C4—21no—
693C4—21no—
694C4—21no—
695C4—41no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—82no—
706C4C13×#45612yes—
707C2—41no—
708C2—81no—
709C2—81no—
710C2C2×C13×#45611yescharacteristic
711C2C13×#302111yescharacteristic
712C2C13×#302211yescharacteristic
subgroupG/H
center, socleC22×C13C2×#120
commutator, Frattini, cosocleC42C24×C13
prime radicalC13×#3531C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C13 ◁ C2×C42×C13 ◁ G

Complements

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

NH ≅ G/Ntype
2. C13×#3238C2semidirect
3. C13×#3218C2semidirect
4. C13×#3165C2semidirect
5. C13×#1664C2semidirect
6. C13×#1663C2semidirect
7. C13×#1661C2semidirect
8. C13×#1660C2semidirect
9. C13×#1537C2semidirect
10. C13×#1529C2semidirect
11. C13×#1529C2semidirect
174. #19009C13direct (N × H)
277. #3238C2×C13semidirect
278. #3218C2×C13semidirect
279. #3165C2×C13semidirect
280. #1664C2×C13semidirect
281. #1663C2×C13semidirect
282. #1661C2×C13semidirect
283. #1660C2×C13semidirect
284. #1537C2×C13semidirect
285. #1529C2×C13semidirect
286. #1529C2×C13semidirect
631. C13#19009direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35312
C13×#32382
C13×#32182
C13×#31652
C13×#16642
C13×#16632
C13×#16612
C13×#16602
C13×#15372
C13×#15292
#1900913