Finite Group Databasebeta

← C13×#18425 #15704764

Subgroups — C13×#18425 #15704764

Order 3328.

994 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C13×#3536C211yesmaximal, characteristic
2C13×#3193C211yesmaximal, characteristic, complemented
3C13×#3190C211yesmaximal, characteristic, complemented
4C13×#2659C211yesmaximal, characteristic, complemented
5C13×#1610C212yesmaximal, complemented
6C13×#1609C212yesmaximal, complemented
7C13×#1604C212yesmaximal, complemented
8C13×#1603C212yesmaximal, complemented
9C13×#1504C211yesmaximal, characteristic, complemented
10C2×C13×#327C211yesmaximal, characteristic, complemented
11C13×#1472C211yesmaximal, characteristic, complemented
12C13×#562—22no—
13C13×#554—21no—
14C13×#548—21no—
15C13×#547—21no—
16C13×#546—21no—
17C13×#546—22no—
18C13×#543—21no—
19C13×#542—21no—
20C13×#539C2212yes—
21C13×#538—21no—
22C13×#537—21no—
23C13×#537C2212yes—
24C13×#525C2211yescharacteristic
25C2×C13×C22⋊Q8C2211yescharacteristic
26C2×C13×C22⋊Q8C2211yescharacteristic
27C2×C13×#121C2211yescharacteristic
28C13×#485—21no—
29C13×#484—21no—
30C13×#483C2211yescharacteristic, complemented
31C13×#480C2212yes—
32C13×#480C2211yescharacteristic, complemented
33C13×#468—22no—
34C13×#467—21no—
35C13×#465—21no—
36C13×#452—21no—
37C13×#451C2211yescharacteristic, complemented
38C13×#450—21no—
39C13×#448C2212yes—
40C13×#448C2211yescharacteristic, complemented
41C13×#407C2211yescharacteristic
42C2×C13×C22⋊C8C2211yescharacteristic
43C13×#398—21no—
44C13×#398C2212yescomplemented
45C13×#395—21no—
46C13×#395C2212yescomplemented
47C13×#380—22no—
48C2×C13×#95C2211yescharacteristic
49C13×#328C2212yescomplemented
50C13×#327C2212yes—
51C13×#327C2212yes—
52C13×#327C2212yescomplemented
53C13×#324C2212yescomplemented
54C13×#324C2212yescomplemented
55C2×C13×#41—21no—
56C2×C13×#41—22no—
57C2×C13×#41D411yescharacteristic
58C22×Q8×C13D411yescharacteristic
59C22×Q8×C13C2311yescharacteristic
60C22×D4×C13—21no—
61C22×D4×C13D411yescharacteristic
62C23×C4×C13—21no—
63C23×C4×C13C2311yescharacteristic
64C2×C13×Q16—21no—
65C2×C13×SD16—22no—
66C2×C13×SD16—21no—
67C2×C13×M16—21no—
68C22×C8×C13—21no—
69C13×C4⋊Q8—21no—
70C13×#126—22no—
71C13×#125—22no—
72C13×#124—22no—
73C13×#124—21no—
74C13×#124—22no—
75C13×#123—22no—
76C13×#123—22no—
77C13×#123—22no—
78C13×#123—21no—
79C13×#123—22no—
80C13×C22⋊Q8—21no—
81C13×C22⋊Q8—22no—
82C13×C22⋊Q8—22no—
83C13×C22⋊Q8—22no—
84C13×C22⋊Q8—22no—
85C13×C22⋊Q8—21no—
86C13×C22⋊Q8—21no—
87C13×C22⋊Q8—21no—
88C13×C22⋊Q8—21no—
89C13×C22⋊Q8—22no—
90C13×C22⋊Q8—22no—
91C13×C22⋊Q8—21no—
92C13×C22⋊Q8—21no—
93C13×C22⋊Q8—21no—
94C13×C22⋊Q8—21no—
95C13×C22⋊Q8D411yescharacteristic
96C13×C22⋊Q8C2311yescharacteristic
97C13×#121—21no—
98C13×#121—22no—
99C13×#121—22no—
100C13×#121—22no—
101C13×#121—22no—
102C13×#121—21no—
103C13×#121—21no—
104C13×#121—22no—
105C13×#121D411yescharacteristic
106C13×#121D412yes—
107C13×#121C2312yes—
108C13×#121C2311yescharacteristic
109C13×#120—22no—
110C13×#120—21no—
111C4×Q8×C13—21no—
112C4×D4×C13—22no—
113C4×D4×C13—21no—
114C4×D4×C13—21no—
115C4×D4×C13—21no—
116C4×D4×C13—22no—
117C13×#117D411yescharacteristic
118C2×C13×C4⋊C4—21no—
119C2×C13×C4⋊C4—21no—
120C2×C13×C4⋊C4—22no—
121C2×C13×C4⋊C4—22no—
122C2×C13×C4⋊C4D411yescharacteristic
123C2×C13×C4⋊C4D411yescharacteristic
124C2×C13×C4⋊C4C2311yescharacteristic
125C2×C13×C4⋊C4C2312yes—
126C2×C13×C22⋊C4—22no—
127C2×C13×C22⋊C4—21no—
128C2×C13×C22⋊C4—21no—
129C2×C13×C22⋊C4D412yes—
130C13×#107—21no—
131C13×#107—22no—
132C13×#106—21no—
133C13×#103—21no—
134C13×#103—22no—
135C13×#103—21no—
136C13×#103—21no—
137C13×#102—22no—
138C13×#102—21no—
139C13×C22⋊C8—21no—
140C13×C22⋊C8—21no—
141C13×C22⋊C8C2311yescharacteristic
142C13×C22⋊C8C2311yescharacteristic
143C13×C22⋊C8C2312yes—
144C13×#95—22no—
145C13×#95—22no—
146C13×#95—21no—
147C13×#95C2312yes—
148#18425C1311yesmaximal, characteristic, direct product factor, Sylow
149C24×C13—21no—
150C24×C13C2×D411yescharacteristic
151C13×#41—82no—
152C13×#41—82no—
153C13×#41—81no—
154C13×#41—82no—
155C2×Q8×C13—22no—
156C2×Q8×C13—21no—
157C2×Q8×C13—21no—
158C2×Q8×C13—21no—
159C2×Q8×C13—21no—
160C2×Q8×C13—81no—
161C2×Q8×C13—81no—
162C2×Q8×C13C2×D411yescharacteristic
163C2×D4×C13—21no—
164C2×D4×C13—21no—
165C2×D4×C13—22no—
166C2×D4×C13—22no—
167C2×D4×C13—22no—
168C2×D4×C13—21no—
169C2×D4×C13—22no—
170C2×D4×C13—21no—
171C2×D4×C13—81no—
172C2×D4×C13—81no—
173C2×D4×C13—81no—
174C2×D4×C13C2×D411yescharacteristic
175C2×D4×C13C2×D412yes—
176C22×C4×C13—22no—
177C22×C4×C13—22no—
178C22×C4×C13—22no—
179C22×C4×C13—22no—
180C22×C4×C13—24no—
181C22×C4×C13—21no—
182C22×C4×C13—21no—
183C22×C4×C13—21no—
184C22×C4×C13—21no—
185C22×C4×C13—81no—
186C22×C4×C13—81no—
187C22×C4×C13—81no—
188C22×C4×C13C2×D412yes—
189C22×C4×C13C2×D412yes—
190C22×C4×C13C2×D411yescharacteristic
191C22×C4×C13C2×D411yescharacteristic
192C22×C4×C13C2×D411yescharacteristic
193C22×C4×C13C2×D411yescharacteristic
194C22×C4×C13C2×D411yescharacteristic
195C22×C4×C13C2411yescharacteristic
196C13×Q16—81no—
197C13×SD16—81no—
198C13×SD16—82no—
199C13×M16—81no—
200C2×C8×C13—21no—
201C2×C8×C13—22no—
202C2×C8×C13—21no—
203C2×C8×C13—81no—
204C13×C4⋊C4—22no—
205C13×C4⋊C4—22no—
206C13×C4⋊C4—22no—
207C13×C4⋊C4—22no—
208C13×C4⋊C4—21no—
209C13×C4⋊C4—21no—
210C13×C4⋊C4—21no—
211C13×C4⋊C4—21no—
212C13×C4⋊C4—22no—
213C13×C4⋊C4—22no—
214C13×C4⋊C4—21no—
215C13×C4⋊C4—21no—
216C13×C4⋊C4—21no—
217C13×C4⋊C4—41no—
218C13×C4⋊C4—41no—
219C13×C4⋊C4—82no—
220C13×C4⋊C4—82no—
221C13×C4⋊C4C2×D411yescharacteristic
222C13×C4⋊C4C2×D412yes—
223C13×C4⋊C4C2×D411yescharacteristic
224C13×C22⋊C4—22no—
225C13×C22⋊C4—22no—
226C13×C22⋊C4—22no—
227C13×C22⋊C4—22no—
228C13×C22⋊C4—22no—
229C13×C22⋊C4—21no—
230C13×C22⋊C4—22no—
231C13×C22⋊C4—22no—
232C13×C22⋊C4—21no—
233C13×C22⋊C4—21no—
234C13×C22⋊C4—22no—
235C13×C22⋊C4—21no—
236C13×C22⋊C4—22no—
237C13×C22⋊C4—21no—
238C13×C22⋊C4—41no—
239C13×C22⋊C4—41no—
240C42×C13—22no—
241C42×C13—21no—
242#3536C2×C1311yescharacteristic
243#3193C2×C1311yescharacteristic, complemented
244#3190C2×C1311yescharacteristic, complemented
245#2659C2×C1311yescharacteristic, complemented
246#1610C2×C1312yescomplemented
247#1609C2×C1312yescomplemented
248#1604C2×C1312yescomplemented
249#1603C2×C1312yescomplemented
250#1504C2×C1311yescharacteristic, complemented
251C2×#327C2×C1311yescharacteristic, complemented
252#1472C2×C1311yescharacteristic, complemented
253C23×C13—21no—
254C23×C13—21no—
255C23×C13—22no—
256C23×C13—22no—
257C23×C13—21no—
258C23×C13—41no—
259C23×C13—42no—
260C23×C13—81no—
261C23×C13—81no—
262C23×C13#12011yescharacteristic
263C23×C13#12011yescharacteristic
264C23×C13C22×D411yescharacteristic
265Q8×C13—42no—
266Q8×C13—41no—
267Q8×C13—42no—
268Q8×C13—41no—
269Q8×C13—41no—
270Q8×C13—81no—
271Q8×C13—82no—
272D4×C13—42no—
273D4×C13—42no—
274D4×C13—41no—
275D4×C13—42no—
276D4×C13—41no—
277D4×C13—42no—
278D4×C13—41no—
279D4×C13—42no—
280D4×C13—82no—
281D4×C13—81no—
282D4×C13—82no—
283D4×C13—82no—
284C2×C4×C13—24no—
285C2×C4×C13—21no—
286C2×C4×C13—22no—
287C2×C4×C13—21no—
288C2×C4×C13—22no—
289C2×C4×C13—21no—
290C2×C4×C13—22no—
291C2×C4×C13—22no—
292C2×C4×C13—22no—
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—42no—
300C2×C4×C13—42no—
301C2×C4×C13—42no—
302C2×C4×C13—42no—
303C2×C4×C13—42no—
304C2×C4×C13—41no—
305C2×C4×C13—41no—
306C2×C4×C13—41no—
307C2×C4×C13—41no—
308C2×C4×C13—81no—
309C2×C4×C13—84no—
310C2×C4×C13—82no—
311C2×C4×C13—82no—
312C2×C4×C13—82no—
313C2×C4×C13#12011yescharacteristic
314C2×C4×C13#12011yescharacteristic
315C2×C4×C13C22×D411yescharacteristic
316C2×C4×C13C22×D411yescharacteristic
317C8×C13—41no—
318C8×C13—41no—
319C8×C13—42no—
320#562—22no—
321#554—21no—
322#548—21no—
323#547—21no—
324#546—21no—
325#546—22no—
326#543—21no—
327#542—21no—
328#539C22×C1312yes—
329#538—21no—
330#537—21no—
331#537C22×C1312yes—
332#525C22×C1311yescharacteristic
333C2×C22⋊Q8C22×C1311yescharacteristic
334C2×C22⋊Q8C22×C1311yescharacteristic
335C2×#121C22×C1311yescharacteristic
336#485—21no—
337#484—21no—
338#483C22×C1311yescharacteristic, complemented
339#480C22×C1312yes—
340#480C22×C1311yescharacteristic, complemented
341#468—22no—
342#467—21no—
343#465—21no—
344#452—21no—
345#451C22×C1311yescharacteristic, complemented
346#450—21no—
347#448C22×C1312yes—
348#448C22×C1311yescharacteristic, complemented
349#407C22×C1311yescharacteristic
350C2×C22⋊C8C22×C1311yescharacteristic
351#398—21no—
352#398C22×C1312yescomplemented
353#395—21no—
354#395C22×C1312yescomplemented
355#380—22no—
356C2×#95C22×C1311yescharacteristic
357#328C22×C1312yescomplemented
358#327C22×C1312yes—
359#327C22×C1312yes—
360#327C22×C1312yescomplemented
361#324C22×C1312yescomplemented
362#324C22×C1312yescomplemented
363C22×C13—21no—
364C22×C13—21no—
365C22×C13—21no—
366C22×C13—21no—
367C22×C13—21no—
368C22×C13—21no—
369C22×C13—21no—
370C22×C13—42no—
371C22×C13—42no—
372C22×C13—41no—
373C22×C13—42no—
374C22×C13—41no—
375C22×C13—42no—
376C22×C13—41no—
377C22×C13—42no—
378C22×C13—162no—
379C22×C13#45612yes—
380C22×C13C2×#12011yescharacteristic
381C22×C13#57611yescharacteristic
382C22×C13#57711yescharacteristic
383C4×C13—21no—
384C4×C13—21no—
385C4×C13—21no—
386C4×C13—21no—
387C4×C13—44no—
388C4×C13—42no—
389C4×C13—42no—
390C4×C13—41no—
391C4×C13—41no—
392C4×C13—41no—
393C4×C13—42no—
394C4×C13—81no—
395C4×C13—81no—
396C2×#41—21no—
397C2×#41—22no—
398C2×#41D4×C1311yescharacteristic
399C22×Q8D4×C1311yescharacteristic
400C22×Q8C23×C1311yescharacteristic
401C22×D4—21no—
402C22×D4D4×C1311yescharacteristic
403C23×C4—21no—
404C23×C4C23×C1311yescharacteristic
405C2×Q16—21no—
406C2×SD16—22no—
407C2×SD16—21no—
408C2×M16—21no—
409C22×C8—21no—
410C4⋊Q8—21no—
411#126—22no—
412#125—22no—
413#124—22no—
414#124—21no—
415#124—22no—
416#123—22no—
417#123—22no—
418#123—22no—
419#123—21no—
420#123—22no—
421C22⋊Q8—21no—
422C22⋊Q8—22no—
423C22⋊Q8—22no—
424C22⋊Q8—22no—
425C22⋊Q8—22no—
426C22⋊Q8—21no—
427C22⋊Q8—21no—
428C22⋊Q8—21no—
429C22⋊Q8—21no—
430C22⋊Q8—22no—
431C22⋊Q8—22no—
432C22⋊Q8—21no—
433C22⋊Q8—21no—
434C22⋊Q8—21no—
435C22⋊Q8—21no—
436C22⋊Q8D4×C1311yescharacteristic
437C22⋊Q8C23×C1311yescharacteristic
438#121—21no—
439#121—22no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—21no—
444#121—21no—
445#121—22no—
446#121D4×C1312yes—
447#121D4×C1311yescharacteristic
448#121C23×C1312yes—
449#121C23×C1311yescharacteristic
450#120—22no—
451#120—21no—
452C4×Q8—21no—
453C4×D4—22no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—21no—
457C4×D4—22no—
458#117D4×C1311yescharacteristic
459C2×C4⋊C4—21no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—22no—
462C2×C4⋊C4—22no—
463C2×C4⋊C4D4×C1311yescharacteristic
464C2×C4⋊C4D4×C1311yescharacteristic
465C2×C4⋊C4C23×C1311yescharacteristic
466C2×C4⋊C4C23×C1312yes—
467C2×C22⋊C4—22no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4D4×C1312yes—
471#107—21no—
472#107—22no—
473#106—21no—
474#103—21no—
475#103—22no—
476#103—21no—
477#103—21no—
478#102—22no—
479#102—21no—
480C22⋊C8—21no—
481C22⋊C8—21no—
482C22⋊C8C23×C1311yescharacteristic
483C22⋊C8C23×C1311yescharacteristic
484C22⋊C8C23×C1312yes—
485#95—21no—
486#95—22no—
487#95—22no—
488#95C23×C1312yes—
489C2×C13—21no—
490C2×C13—22no—
491C2×C13—21no—
492C2×C13—41no—
493C2×C13—81no—
494C2×C13—82no—
495C2×C13#301211yescharacteristic
496C2×C13C2×#45611yescharacteristic
497C2×C13#302611yescharacteristic
498C24—21no—
499C24C2×D4×C1311yescharacteristic
500#41—82no—
501#41—82no—
502#41—81no—
503#41—82no—
504C2×Q8—22no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—81no—
510C2×Q8—81no—
511C2×Q8C2×D4×C1311yescharacteristic
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—21no—
518C2×D4—22no—
519C2×D4—21no—
520C2×D4—81no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4C2×D4×C1311yescharacteristic
524C2×D4C2×D4×C1312yes—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—81no—
535C22×C4—81no—
536C22×C4—81no—
537C22×C4C2×D4×C1312yes—
538C22×C4C2×D4×C1312yes—
539C22×C4C2×D4×C1311yescharacteristic
540C22×C4C2×D4×C1311yescharacteristic
541C22×C4C2×D4×C1311yescharacteristic
542C22×C4C2×D4×C1311yescharacteristic
543C22×C4C2×D4×C1311yescharacteristic
544C22×C4C24×C1311yescharacteristic
545Q16—81no—
546SD16—81no—
547SD16—82no—
548M16—81no—
549C2×C8—21no—
550C2×C8—22no—
551C2×C8—21no—
552C2×C8—81no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—41no—
567C4⋊C4—41no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4C2×D4×C1311yescharacteristic
571C4⋊C4C2×D4×C1312yes—
572C4⋊C4C2×D4×C1311yescharacteristic
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—21no—
585C22⋊C4—22no—
586C22⋊C4—21no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C42—22no—
590C42—21no—
591C13#1842511yescharacteristic, direct product factor, Sylow
592C23—22no—
593C23—21no—
594C23—21no—
595C23—22no—
596C23—21no—
597C23—41no—
598C23—42no—
599C23—81no—
600C23—81no—
601C23C13×#12011yescharacteristic
602C23C13×#12011yescharacteristic
603C23C22×D4×C1311yescharacteristic
604Q8—41no—
605Q8—42no—
606Q8—42no—
607Q8—41no—
608Q8—41no—
609Q8—81no—
610Q8—82no—
611D4—42no—
612D4—41no—
613D4—42no—
614D4—42no—
615D4—42no—
616D4—41no—
617D4—42no—
618D4—41no—
619D4—82no—
620D4—81no—
621D4—82no—
622D4—82no—
623C2×C4—24no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—81no—
648C2×C4—84no—
649C2×C4—82no—
650C2×C4—82no—
651C2×C4—82no—
652C2×C4C13×#12011yescharacteristic
653C2×C4C13×#12011yescharacteristic
654C2×C4C22×D4×C1311yescharacteristic
655C2×C4C22×D4×C1311yescharacteristic
656C8—41no—
657C8—41no—
658C8—42no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—42no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—41no—
671C22—42no—
672C22—41no—
673C22—42no—
674C22—162no—
675C22C13×#45612yes—
676C22C2×C13×#12011yescharacteristic
677C22C13×#57611yescharacteristic
678C22C13×#57711yescharacteristic
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—44no—
684C4—42no—
685C4—42no—
686C4—41no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—81no—
691C4—81no—
692C2—21no—
693C2—22no—
694C2—21no—
695C2—41no—
696C2—82no—
697C2—81no—
698C2C13×#301211yescharacteristic
699C2C2×C13×#45611yescharacteristic
700C2C13×#302611yescharacteristic
subgroupG/H
center, socleC22×C13C2×#120
commutator, Frattini, cosocleC22×C4C24×C13
prime radicalC13×#3536C2
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×#3193C2semidirect
3. C13×#3190C2semidirect
4. C13×#2659C2semidirect
5. C13×#1610C2semidirect
6. C13×#1609C2semidirect
7. C13×#1604C2semidirect
8. C13×#1603C2semidirect
9. C13×#1504C2semidirect
10. C2×C13×#327C2semidirect
11. C13×#1472C2semidirect
30. C13×#483C22semidirect
32. C13×#480C22semidirect
37. C13×#451C22semidirect
40. C13×#448C22semidirect
44. C13×#398C22semidirect
46. C13×#395C22semidirect
49. C13×#328C22semidirect
52. C13×#327C22semidirect
53. C13×#324C22semidirect
54. C13×#324C22semidirect
148. #18425C13direct (N × H)
243. #3193C2×C13semidirect
244. #3190C2×C13semidirect
245. #2659C2×C13semidirect
246. #1610C2×C13semidirect
247. #1609C2×C13semidirect
248. #1604C2×C13semidirect
249. #1603C2×C13semidirect
250. #1504C2×C13semidirect
251. C2×#327C2×C13semidirect
252. #1472C2×C13semidirect
338. #483C22×C13semidirect
340. #480C22×C13semidirect
345. #451C22×C13semidirect
348. #448C22×C13semidirect
352. #398C22×C13semidirect
354. #395C22×C13semidirect
357. #328C22×C13semidirect
360. #327C22×C13semidirect
361. #324C22×C13semidirect
362. #324C22×C13semidirect
591. C13#18425direct (N × H)

Maximal subgroups

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

subgroupindex
C13×#35362
C13×#31932
C13×#31902
C13×#26592
C13×#16102
C13×#16092
C13×#16042
C13×#16032
C13×#15042
C2×C13×#3272
C13×#14722
#1842513