Finite Group Databasebeta

← C13×#33572 #15719911

Subgroups — C13×#33572 #15719911

Order 3328.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3551C211yesmaximal, characteristic, complemented
2C13×#3022C211yesmaximal, characteristic, complemented
3C13×#3021C211yesmaximal, characteristic, complemented
4C13×#3018C211yesmaximal, characteristic, complemented
5C13×#2204C214yesmaximal, complemented
6C13×#2203C214yesmaximal, complemented
7C13×#2135C211yesmaximal, characteristic, complemented
8C13×#2134C211yesmaximal, characteristic, complemented
9C13×#2132C211yesmaximal, characteristic, complemented
10C13×#585C2211yescharacteristic
11C13×#575—21no—
12C2×C13×#137—21no—
13C2×C13×AGL(1,ℤ/8)—21no—
14C13×#563C2212yescomplemented
15C13×#560—21no—
16C13×#555C2212yescomplemented
17C13×#553—21no—
18C13×#552—21no—
19C13×#551—21no—
20C13×#548—21no—
21C13×#546—21no—
22C13×#540—22no—
23C13×#538—22no—
24C13×#537—21no—
25C13×#536C2211yescharacteristic
26C13×#535C2211yescharacteristic
27C13×#532C2211yescharacteristic
28C13×#529—21no—
29C13×#456C2212yescomplemented
30C13×#456C2214yescomplemented
31C13×#455—21no—
32C13×#455—22no—
33C13×#454C2214yes—
34C13×#454C2212yescomplemented
35C13×#453—21no—
36C13×#453—22no—
37C13×#421—21no—
38C13×#421—21no—
39C2×C13×#104—21no—
40C13×#413C2211yescharacteristic
41C13×#413C2211yescharacteristic
42C13×#413C2211yescharacteristic
43C13×#356C2212yescomplemented
44C13×#356C2214yescomplemented
45C13×#355C2212yescomplemented
46C13×#355C2214yescomplemented
47C13×2−1+4—41no—
48C13×2−1+4C2312yes—
49C13×H(5,𝔽2)—21no—
50C13×H(5,𝔽2)—21no—
51C13×H(5,𝔽2)—21no—
52C13×H(5,𝔽2)—41no—
53C2×C13×#41—21no—
54C2×C13×#41—21no—
55C2×C13×#41—21no—
56C2×C13×#41—21no—
57C2×C13×#41—42no—
58C2×C13×#41D411yescharacteristic
59C2×C13×#41C2311yescharacteristic
60C22×Q8×C13D411yescharacteristic
61C22×D4×C13D411yescharacteristic
62C13×#137—24no—
63C13×#137—22no—
64C13×#137—41no—
65C13×#137—42no—
66C13×AGL(1,ℤ/8)—24no—
67C13×AGL(1,ℤ/8)—22no—
68C13×AGL(1,ℤ/8)—41no—
69C13×AGL(1,ℤ/8)—42no—
70C13×#135—42no—
71C2×C13×Q16—41no—
72C2×C13×SD16—41no—
73C2×C13×SD16—41no—
74C2×C13×D8—41no—
75C2×C13×M16—21no—
76C2×C13×M16—21no—
77C2×C13×M16—21no—
78C13×C4⋊Q8C2311yescharacteristic
79C13×C4⋊Q8C2312yes—
80C13×#127D411yescharacteristic
81C13×#127D412yes—
82C13×#126—22no—
83C13×#126—22no—
84C13×#126—22no—
85C13×#125—21no—
86C13×#125—22no—
87C13×#124—21no—
88C13×#124—22no—
89C13×#124D411yescharacteristic
90C13×#124D412yes—
91C13×#124C2312yes—
92C13×#124C2311yescharacteristic
93C13×#123—22no—
94C13×#123—22no—
95C13×#123—22no—
96C13×#123—21no—
97C13×#123—21no—
98C13×#123—22no—
99C13×C22⋊Q8—21no—
100C13×C22⋊Q8—22no—
101C13×C22⋊Q8—22no—
102C13×C22⋊Q8—21no—
103C13×C22⋊Q8—21no—
104C13×#121—22no—
105C13×#121—22no—
106C13×#121—21no—
107C13×#121—22no—
108C13×#121—22no—
109C13×#121—21no—
110C13×#121—21no—
111C13×#121—22no—
112C13×#121—22no—
113C13×#121—21no—
114C13×#121—21no—
115C13×#120—22no—
116C13×#120—21no—
117C13×#120—21no—
118C4×Q8×C13—21no—
119C4×D4×C13—22no—
120C4×D4×C13—21no—
121C4×D4×C13—22no—
122C4×D4×C13—21no—
123C4×D4×C13—21no—
124C4×D4×C13—22no—
125C13×#117—22no—
126C13×#117—22no—
127C13×#117D411yescharacteristic
128C13×#117D411yescharacteristic
129C2×C13×C4⋊C4—21no—
130C2×C13×C22⋊C4—22no—
131C2×C42×C13D411yescharacteristic
132C13×#104—22no—
133C13×#104—22no—
134C13×#104—24no—
135C13×#104—24no—
136C13×#101C2312yes—
137C13×#101C2312yes—
138C13×#101C2312yes—
139C13×#100—21no—
140C13×#100—21no—
141C13×#100—21no—
142#33572C1311yesmaximal, characteristic, direct product factor, Sylow
143C24×C13—21no—
144C13×#41—22no—
145C13×#41—22no—
146C13×#41—22no—
147C13×#41—22no—
148C13×#41—22no—
149C13×#41—22no—
150C13×#41—41no—
151C13×#41—41no—
152C13×#41—41no—
153C13×#41—41no—
154C13×#41—41no—
155C13×#41—41no—
156C13×#41—41no—
157C13×#41—42no—
158C13×#41—42no—
159C13×#41—42no—
160C13×#41—42no—
161C13×#41—41no—
162C13×#41—81no—
163C13×#41—81no—
164C2×Q8×C13—21no—
165C2×Q8×C13—21no—
166C2×Q8×C13—21no—
167C2×Q8×C13—21no—
168C2×Q8×C13—41no—
169C2×Q8×C13—41no—
170C2×Q8×C13—42no—
171C2×Q8×C13C2×D411yescharacteristic
172C2×Q8×C13C2×D412yes—
173C2×Q8×C13C2411yescharacteristic
174C2×D4×C13—21no—
175C2×D4×C13—21no—
176C2×D4×C13—21no—
177C2×D4×C13—22no—
178C2×D4×C13—22no—
179C2×D4×C13—21no—
180C2×D4×C13—22no—
181C2×D4×C13—22no—
182C2×D4×C13—21no—
183C2×D4×C13—21no—
184C2×D4×C13—21no—
185C2×D4×C13—41no—
186C2×D4×C13—41no—
187C2×D4×C13—42no—
188C2×D4×C13—42no—
189C2×D4×C13—42no—
190C2×D4×C13—41no—
191C2×D4×C13—41no—
192C2×D4×C13—41no—
193C2×D4×C13C2×D411yescharacteristic
194C2×D4×C13C2×D412yes—
195C2×D4×C13C2×D411yescharacteristic
196C2×D4×C13C2×D411yescharacteristic
197C2×D4×C13C2×D411yescharacteristic
198C22×C4×C13—22no—
199C22×C4×C13—22no—
200C22×C4×C13—22no—
201C22×C4×C13—21no—
202C22×C4×C13—21no—
203C22×C4×C13—21no—
204C22×C4×C13—41no—
205C22×C4×C13—41no—
206C22×C4×C13—41no—
207C22×C4×C13C2×D411yescharacteristic
208C22×C4×C13C2×D411yescharacteristic
209C22×C4×C13C2×D411yescharacteristic
210C13×Q16—44no—
211C13×Q16—42no—
212C13×SD16—44no—
213C13×SD16—42no—
214C13×SD16—44no—
215C13×SD16—42no—
216C13×D8—44no—
217C13×D8—42no—
218C13×M16—22no—
219C13×M16—22no—
220C13×M16—22no—
221C13×M16—41no—
222C13×M16—41no—
223C13×M16—41no—
224C2×C8×C13—41no—
225C2×C8×C13—41no—
226C2×C8×C13—41no—
227C13×C4⋊C4—22no—
228C13×C4⋊C4—22no—
229C13×C4⋊C4—22no—
230C13×C4⋊C4—22no—
231C13×C4⋊C4—22no—
232C13×C4⋊C4—21no—
233C13×C4⋊C4—21no—
234C13×C4⋊C4—22no—
235C13×C4⋊C4—22no—
236C13×C4⋊C4—21no—
237C13×C4⋊C4—21no—
238C13×C22⋊C4—22no—
239C13×C22⋊C4—22no—
240C13×C22⋊C4—22no—
241C13×C22⋊C4—22no—
242C13×C22⋊C4—22no—
243C13×C22⋊C4—21no—
244C13×C22⋊C4—22no—
245C13×C22⋊C4—21no—
246C13×C22⋊C4—21no—
247C13×C22⋊C4—21no—
248C13×C22⋊C4—22no—
249C13×C22⋊C4—21no—
250C13×C22⋊C4—22no—
251C13×C22⋊C4—21no—
252C13×C22⋊C4—22no—
253C42×C13—22no—
254C42×C13—21no—
255C42×C13C2×D411yescharacteristic
256C42×C13C2×D411yescharacteristic
257C42×C13C2×D412yes—
258C42×C13C2×D412yes—
259#3551C2×C1311yescharacteristic, complemented
260#3022C2×C1311yescharacteristic, complemented
261#3021C2×C1311yescharacteristic, complemented
262#3018C2×C1311yescharacteristic, complemented
263#2204C2×C1314yescomplemented
264#2203C2×C1314yescomplemented
265#2135C2×C1311yescharacteristic, complemented
266#2134C2×C1311yescharacteristic, complemented
267#2132C2×C1311yescharacteristic, complemented
268C23×C13—22no—
269C23×C13—21no—
270C23×C13—41no—
271C23×C13—41no—
272C23×C13—41no—
273C23×C13—81no—
274C23×C13—82no—
275C23×C13#12011yescharacteristic
276C23×C13#12011yescharacteristic
277C23×C13#12011yescharacteristic
278Q8×C13—22no—
279Q8×C13—22no—
280Q8×C13—22no—
281Q8×C13—41no—
282Q8×C13—42no—
283Q8×C13—41no—
284Q8×C13—41no—
285Q8×C13—41no—
286Q8×C13—41no—
287D4×C13—22no—
288D4×C13—22no—
289D4×C13—22no—
290D4×C13—41no—
291D4×C13—41no—
292D4×C13—41no—
293D4×C13—42no—
294D4×C13—41no—
295D4×C13—42no—
296D4×C13—42no—
297D4×C13—42no—
298D4×C13—42no—
299D4×C13—41no—
300D4×C13—41no—
301D4×C13—41no—
302D4×C13—81no—
303D4×C13—82no—
304D4×C13—82no—
305D4×C13—82no—
306D4×C13—81no—
307D4×C13—81no—
308D4×C13—82no—
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—22no—
317C2×C4×C13—21no—
318C2×C4×C13—22no—
319C2×C4×C13—22no—
320C2×C4×C13—21no—
321C2×C4×C13—42no—
322C2×C4×C13—42no—
323C2×C4×C13—42no—
324C2×C4×C13—41no—
325C2×C4×C13—41no—
326C2×C4×C13—41no—
327C2×C4×C13—41no—
328C2×C4×C13—41no—
329C2×C4×C13—42no—
330C2×C4×C13—81no—
331C2×C4×C13—82no—
332C2×C4×C13—81no—
333C2×C4×C13—82no—
334C2×C4×C13—82no—
335C2×C4×C13#12011yescharacteristic
336C2×C4×C13C22×D411yescharacteristic
337C2×C4×C13C22×D411yescharacteristic
338C2×C4×C13C22×D411yescharacteristic
339C8×C13—42no—
340C8×C13—42no—
341C8×C13—42no—
342#585C22×C1311yescharacteristic
343#575—21no—
344C2×#137—21no—
345C2×AGL(1,ℤ/8)—21no—
346#563C22×C1312yescomplemented
347#560—21no—
348#555C22×C1312yescomplemented
349#553—21no—
350#552—21no—
351#551—21no—
352#548—21no—
353#546—21no—
354#540—22no—
355#538—22no—
356#537—21no—
357#536C22×C1311yescharacteristic
358#535C22×C1311yescharacteristic
359#532C22×C1311yescharacteristic
360#529—21no—
361#456C22×C1312yescomplemented
362#456C22×C1314yescomplemented
363#455—21no—
364#455—22no—
365#454C22×C1314yes—
366#454C22×C1312yescomplemented
367#453—21no—
368#453—22no—
369#421—21no—
370#421—21no—
371C2×#104—21no—
372#413C22×C1311yescharacteristic
373#413C22×C1311yescharacteristic
374#413C22×C1311yescharacteristic
375#356C22×C1312yescomplemented
376#356C22×C1314yescomplemented
377#355C22×C1312yescomplemented
378#355C22×C1314yescomplemented
379C22×C13—21no—
380C22×C13—21no—
381C22×C13—21no—
382C22×C13—41no—
383C22×C13—41no—
384C22×C13—41no—
385C22×C13—41no—
386C22×C13—42no—
387C22×C13—41no—
388C22×C13—42no—
389C22×C13—42no—
390C22×C13—41no—
391C22×C13—42no—
392C22×C13—161no—
393C22×C13—161no—
394C22×C13—161no—
395C22×C13—162no—
396C22×C13C2×#12011yescharacteristic
397C4×C13—21no—
398C4×C13—21no—
399C4×C13—21no—
400C4×C13—41no—
401C4×C13—42no—
402C4×C13—42no—
403C4×C13—41no—
404C4×C13—41no—
405C4×C13—42no—
406C4×C13—42no—
407C4×C13B(4,𝔽2)11yescharacteristic
408C4×C13B(4,𝔽2)11yescharacteristic
4092−1+4—41no—
4102−1+4C23×C1312yes—
411H(5,𝔽2)—21no—
412H(5,𝔽2)—21no—
413H(5,𝔽2)—21no—
414H(5,𝔽2)—41no—
415C2×#41—21no—
416C2×#41—21no—
417C2×#41—21no—
418C2×#41—21no—
419C2×#41—42no—
420C2×#41D4×C1311yescharacteristic
421C2×#41C23×C1311yescharacteristic
422C22×Q8D4×C1311yescharacteristic
423C22×D4D4×C1311yescharacteristic
424#137—24no—
425#137—22no—
426#137—41no—
427#137—42no—
428AGL(1,ℤ/8)—24no—
429AGL(1,ℤ/8)—22no—
430AGL(1,ℤ/8)—41no—
431AGL(1,ℤ/8)—42no—
432#135—42no—
433C2×Q16—41no—
434C2×SD16—41no—
435C2×SD16—41no—
436C2×D8—41no—
437C2×M16—21no—
438C2×M16—21no—
439C2×M16—21no—
440C4⋊Q8C23×C1311yescharacteristic
441C4⋊Q8C23×C1312yes—
442#127D4×C1311yescharacteristic
443#127D4×C1312yes—
444#126—22no—
445#126—22no—
446#126—22no—
447#125—21no—
448#125—22no—
449#124—21no—
450#124—22no—
451#124D4×C1311yescharacteristic
452#124D4×C1312yes—
453#124C23×C1311yescharacteristic
454#124C23×C1312yes—
455#123—22no—
456#123—22no—
457#123—22no—
458#123—21no—
459#123—21no—
460#123—22no—
461C22⋊Q8—21no—
462C22⋊Q8—22no—
463C22⋊Q8—22no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466#121—22no—
467#121—22no—
468#121—21no—
469#121—22no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—22no—
474#121—22no—
475#121—21no—
476#121—21no—
477#120—22no—
478#120—21no—
479#120—21no—
480C4×Q8—21no—
481C4×D4—22no—
482C4×D4—21no—
483C4×D4—22no—
484C4×D4—21no—
485C4×D4—21no—
486C4×D4—22no—
487#117—22no—
488#117—22no—
489#117D4×C1311yescharacteristic
490#117D4×C1311yescharacteristic
491C2×C4⋊C4—21no—
492C2×C22⋊C4—22no—
493C2×C42D4×C1311yescharacteristic
494#104—22no—
495#104—22no—
496#104—24no—
497#104—24no—
498#101C23×C1312yes—
499#101C23×C1312yes—
500#101C23×C1312yes—
501#100—21no—
502#100—21no—
503#100—21no—
504C2×C13—21no—
505C2×C13—41no—
506C2×C13—41no—
507C2×C13—41no—
508C2×C13—81no—
509C2×C13—82no—
510C2×C13—82no—
511C2×C13C2×B(4,𝔽2)11yescharacteristic
512C24—21no—
513#41—22no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—41no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—42no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—41no—
531#41—81no—
532#41—81no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—41no—
538C2×Q8—41no—
539C2×Q8—42no—
540C2×Q8C2×D4×C1311yescharacteristic
541C2×Q8C2×D4×C1312yes—
542C2×Q8C24×C1311yescharacteristic
543C2×D4—21no—
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—41no—
555C2×D4—41no—
556C2×D4—42no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—41no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4C2×D4×C1311yescharacteristic
563C2×D4C2×D4×C1312yes—
564C2×D4C2×D4×C1311yescharacteristic
565C2×D4C2×D4×C1311yescharacteristic
566C2×D4C2×D4×C1311yescharacteristic
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—41no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4C2×D4×C1311yescharacteristic
577C22×C4C2×D4×C1311yescharacteristic
578C22×C4C2×D4×C1311yescharacteristic
579Q16—44no—
580Q16—42no—
581SD16—44no—
582SD16—42no—
583SD16—44no—
584SD16—42no—
585D8—44no—
586D8—42no—
587M16—22no—
588M16—22no—
589M16—22no—
590M16—41no—
591M16—41no—
592M16—41no—
593C2×C8—41no—
594C2×C8—41no—
595C2×C8—41no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—22no—
604C4⋊C4—22no—
605C4⋊C4—21no—
606C4⋊C4—21no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—21no—
613C22⋊C4—22no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—22no—
618C22⋊C4—21no—
619C22⋊C4—22no—
620C22⋊C4—21no—
621C22⋊C4—22no—
622C42—22no—
623C42—21no—
624C42C2×D4×C1311yescharacteristic
625C42C2×D4×C1311yescharacteristic
626C42C2×D4×C1312yes—
627C42C2×D4×C1312yes—
628C13#3357211yescharacteristic, direct product factor, Sylow
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23C13×#12011yescharacteristic
637C23C13×#12011yescharacteristic
638C23C13×#12011yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—81no—
668D4—81no—
669D4—82no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—81no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4C13×#12011yescharacteristic
697C2×C4C22×D4×C1311yescharacteristic
698C2×C4C22×D4×C1311yescharacteristic
699C2×C4C22×D4×C1311yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×C13×#12011yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C13×B(4,𝔽2)11yescharacteristic
732C4C13×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C13×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C13C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C13
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C13 ◁ C2×C4×C13 ◁ C2×C13×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C13×#3551C2semidirect
2. C13×#3022C2semidirect
3. C13×#3021C2semidirect
4. C13×#3018C2semidirect
5. C13×#2204C2semidirect
6. C13×#2203C2semidirect
7. C13×#2135C2semidirect
8. C13×#2134C2semidirect
9. C13×#2132C2semidirect
14. C13×#563C22semidirect
16. C13×#555C22semidirect
29. C13×#456C22semidirect
30. C13×#456C22semidirect
34. C13×#454C22semidirect
43. C13×#356C22semidirect
44. C13×#356C22semidirect
45. C13×#355C22semidirect
46. C13×#355C22semidirect
142. #33572C13direct (N × H)
259. #3551C2×C13semidirect
260. #3022C2×C13semidirect
261. #3021C2×C13semidirect
262. #3018C2×C13semidirect
263. #2204C2×C13semidirect
264. #2203C2×C13semidirect
265. #2135C2×C13semidirect
266. #2134C2×C13semidirect
267. #2132C2×C13semidirect
346. #563C22×C13semidirect
348. #555C22×C13semidirect
361. #456C22×C13semidirect
362. #456C22×C13semidirect
366. #454C22×C13semidirect
375. #356C22×C13semidirect
376. #356C22×C13semidirect
377. #355C22×C13semidirect
378. #355C22×C13semidirect
628. C13#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35512
C13×#30222
C13×#30212
C13×#30182
C13×#22042
C13×#22032
C13×#21352
C13×#21342
C13×#21322
#3357213