Finite Group Databasebeta

← #72259239

Subgroups — #72259239

Order 4992.

740 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#72229130C211yesmaximal, characteristic, complemented
2#72229120C211yesmaximal, characteristic, complemented
3#72229106C211yesmaximal, characteristic, complemented
4#72229103C211yesmaximal, characteristic, complemented
5AGL(1,ℤ/8)×D13⋊C3C211yesmaximal, characteristic
6#72229075C211yesmaximal, characteristic, complemented
7#72229055C211yesmaximal, characteristic, complemented
8#13130836C311yesmaximal, characteristic, complemented, Hall
9#41×D13⋊C3C2211yescharacteristic
10C2×D4×D13⋊C3C2211yescharacteristic
11C2×(C22⋊#261)⋊C3—22no—
12Q8×AGL(1,𝔽13)—21no—
13D4×AGL(1,𝔽13)—22no—
14D4×AGL(1,𝔽13)—21no—
15#88237⋊C3—21no—
16#88237⋊C3C2211yescharacteristic
17C2×C4⋊AGL(1,𝔽13)—21no—
18C2×C4⋊AGL(1,𝔽13)C2211yescharacteristic
19C2×C4×AGL(1,𝔽13)C2211yescharacteristic
20(D13⋊C3)⋊M16C2211yescharacteristic
21AGL(1,ℤ/8)×C13⋊C3C411yescharacteristic, complemented
22#88203⋊C3C411yescharacteristic, complemented
23#88186⋊C3C411yescharacteristic, complemented
24#88168⋊C3—21no—
25SD16×D13⋊C3—21no—
26#88165⋊C3—21no—
27D8×D13⋊C3—21no—
28#88162⋊C3C411yescharacteristic, complemented
29M16×D13⋊C3C2211yescharacteristic
30#88118⋊C3—21no—
31#88115⋊C3—21no—
32#88115⋊C3—21no—
33#88116⋊C3—21no—
34#11719631C2×C311yescharacteristic, complemented
35D13×AGL(1,ℤ/8)C2×C311yescharacteristic
36D13⋊#104C2×C311yescharacteristic, complemented
37#11719151C2×C311yescharacteristic, complemented
38#11719138C2×C311yescharacteristic, complemented
39#11718272C2×C311yescharacteristic, complemented
40#11718271C2×C311yescharacteristic, complemented
41C23×D13⋊C3—21no—
42C22×AGL(1,𝔽13)—21no—
43C22×AGL(1,𝔽13)—22no—
44C22×AGL(1,𝔽13)D412yes—
45#41×C13⋊C3C2×C411yescharacteristic
46C2×D4×C13⋊C3C2×C411yescharacteristic, complemented
47C2×(C22⋊D13)⋊C3—21no—
48#10597707D411yescharacteristic
49Q8×D13⋊C3D411yescharacteristic
50#6129⋊C3—21no—
51#6129⋊C3D411yescharacteristic
52D4×D13⋊C3—21no—
53D4×D13⋊C3—21no—
54D4×D13⋊C3—21no—
55D4×D13⋊C3—21no—
56D4×D13⋊C3—21no—
57D4×D13⋊C3D411yescharacteristic
58#6127⋊C3—21no—
59#6127⋊C3C2×C411yescharacteristic
60C2×C4⋊(D13⋊C3)C2×C411yescharacteristic, complemented
61C2×C4×D13⋊C3—21no—
62C2×C4×D13⋊C3C2311yescharacteristic
63(C22⋊#261)⋊C3—22no—
64(C22⋊#261)⋊C3—21no—
65(C22⋊#261)⋊C3—44no—
66#6122⋊C3—21no—
67C4⋊AGL(1,𝔽13)—22no—
68C4⋊AGL(1,𝔽13)—21no—
69C4⋊AGL(1,𝔽13)—21no—
70C4⋊AGL(1,𝔽13)D411yescharacteristic
71C4⋊AGL(1,𝔽13)D411yescharacteristic
72C4×AGL(1,𝔽13)—22no—
73C4×AGL(1,𝔽13)—21no—
74C4×AGL(1,𝔽13)—21no—
75C4×AGL(1,𝔽13)—21no—
76#6118⋊C3—21no—
77(D13⋊C3)⋊C8—21no—
78SD16×C13⋊C3—21no—
79D8×C13⋊C3—21no—
80M16×C13⋊C3C2×C411yescharacteristic, complemented
81#6106⋊C3—21no—
82#6105⋊C3—21no—
83#6104⋊C3—21no—
84#6104⋊C3—21no—
85#6099⋊C3C2×C411yescharacteristic, complemented
86D104⋊C3—21no—
87#6095⋊C3—21no—
88#6094⋊C3—21no—
89C8×D13⋊C3—21no—
90#41×D13C22×C311yescharacteristic
91C2×D4×D13C22×C311yescharacteristic
92C2×C22⋊#261—22no—
93Q8×#261—21no—
94D4×#261—22no—
95D4×#261—21no—
96#88237—21no—
97#88237C22×C311yescharacteristic
98C2×C4⋊#261—21no—
99C2×C4⋊#261C22×C311yescharacteristic
100C2×C4×#261C22×C311yescharacteristic
101D13⋊M16C22×C311yescharacteristic
102C13×AGL(1,ℤ/8)C3×C411yescharacteristic, complemented
103#88203C3×C411yescharacteristic, complemented
104#88186C3×C411yescharacteristic, complemented
105#88168—21no—
106SD16×D13—21no—
107#88165—21no—
108D8×D13—21no—
109#88162C3×C411yescharacteristic, complemented
110M16×D13C22×C311yescharacteristic
111#88118—21no—
112#88116—21no—
113#88115—21no—
114#88115—21no—
115C3×#1883—131nomaximal, Hall
116C23×C13⋊C3—21no—
117C22×D13⋊C3—21no—
118C22×D13⋊C3—21no—
119C22×D13⋊C3—42no—
120C22×D13⋊C3—42no—
121C22×D13⋊C3—41no—
122C22×D13⋊C3—41no—
123C22×D13⋊C3C2×D411yescharacteristic
124C2×AGL(1,𝔽13)—22no—
125C2×AGL(1,𝔽13)—21no—
126C2×AGL(1,𝔽13)—22no—
127C2×AGL(1,𝔽13)—21no—
128C2×AGL(1,𝔽13)—41no—
129C2×AGL(1,𝔽13)—41no—
130C2×AGL(1,𝔽13)—42no—
131C2×AGL(1,𝔽13)—82no—
132Q8×C13⋊C3C22⋊C411yescharacteristic, complemented
133D4×C13⋊C3—21no—
134D4×C13⋊C3—21no—
135D4×C13⋊C3—21no—
136D4×C13⋊C3C22⋊C411yescharacteristic, complemented
137C2×C4×C13⋊C3—21no—
138C2×C4×C13⋊C3C22×C411yescharacteristic
139(C22⋊D13)⋊C3—21no—
140(C22⋊D13)⋊C3—21no—
141(C22⋊D13)⋊C3—21no—
142(C22⋊D13)⋊C3—41no—
143(C22⋊D13)⋊C3—41no—
144C2×Dic13⋊C3—21no—
145C2×Dic13⋊C3#4111yescharacteristic
146C4⋊(D13⋊C3)—21no—
147C4⋊(D13⋊C3)—21no—
148C4⋊(D13⋊C3)—21no—
149C4⋊(D13⋊C3)C22⋊C411yescharacteristic, complemented
150C4×D13⋊C3—21no—
151C4×D13⋊C3—21no—
152C4×D13⋊C3—21no—
153C4×D13⋊C3C2×D411yescharacteristic
154C4×D13⋊C3C2×D411yescharacteristic
155C4×D13⋊C3C2×D411yescharacteristic
156C4×D13⋊C3#4111yescharacteristic
157(C13⋊C3)⋊Q8—21no—
158(C13⋊C3)⋊Q8C22⋊C411yescharacteristic, complemented
159#1057⋊C3—41no—
160C8×C13⋊C3—21no—
161#1055⋊C3—21no—
162C23×D13—21no—
163C22×#261—21no—
164C22×#261—22no—
165C22×#261C3×D412yes—
166C13×#41C2×C3×C411yescharacteristic
167C2×D4×C13C2×C3×C411yescharacteristic, complemented
168C2×C22⋊D13—21no—
169#6131C3×D411yescharacteristic
170Q8×D13C3×D411yescharacteristic
171#6129—21no—
172#6129C3×D411yescharacteristic
173D4×D13—21no—
174D4×D13—21no—
175D4×D13—21no—
176D4×D13—21no—
177D4×D13—21no—
178D4×D13C3×D411yescharacteristic
179#6127—21no—
180#6127C2×C3×C411yescharacteristic
181C2×D52C2×C3×C411yescharacteristic, complemented
182C2×C4×D13—21no—
183C2×C4×D13C23×C311yescharacteristic
184C22⋊#261—22no—
185C22⋊#261—21no—
186C22⋊#261—44no—
187#6122—21no—
188C4⋊#261—22no—
189C4⋊#261—21no—
190C4⋊#261—21no—
191C4⋊#261C3×D411yescharacteristic
192C4⋊#261C3×D411yescharacteristic
193C4×#261—22no—
194C4×#261—21no—
195C4×#261—21no—
196C4×#261—21no—
197#6118—21no—
198D13⋊C8—21no—
199C13×SD16—21no—
200C13×D8—21no—
201C13×M16C2×C3×C411yescharacteristic, complemented
202#6106—21no—
203#6105—21no—
204#6104—21no—
205#6104—21no—
206#6099C2×C3×C411yescharacteristic, complemented
207D104—21no—
208#6095—21no—
209#6094—21no—
210C8×D13—21no—
211C2×C3×AGL(1,ℤ/8)—131no—
212C3×#520—131no—
213C2×C3×#104—131no—
214C3×#418—131no—
215C3×#390—131no—
216C3×#343—131no—
217C3×#339—131no—
218C22×C13⋊C3—21no—
219C22×C13⋊C3—42no—
220C22×C13⋊C3—41no—
221C22×C13⋊C3C4×D411yescharacteristic
222C2×D13⋊C3—21no—
223C2×D13⋊C3—21no—
224C2×D13⋊C3—21no—
225C2×D13⋊C3—41no—
226C2×D13⋊C3—41no—
227C2×D13⋊C3—42no—
228C2×D13⋊C3—41no—
229C2×D13⋊C3—82no—
230C2×D13⋊C3—81no—
231C2×D13⋊C3—81no—
232C2×D13⋊C3#12011yescharacteristic
233C2×D13⋊C3#12111yescharacteristic
234AGL(1,𝔽13)—42no—
235AGL(1,𝔽13)—42no—
236AGL(1,𝔽13)—41no—
237AGL(1,𝔽13)—41no—
238C4×C13⋊C3—21no—
239C4×C13⋊C3C2×C22⋊C411yescharacteristic
240C4×C13⋊C3C4×D411yescharacteristic
241Dic13⋊C3—21no—
242Dic13⋊C3#12111yescharacteristic
243Dic13⋊C3#12311yescharacteristic
244#1883—131noSylow
245C23×C13—21no—
246C22×D13—21no—
247C22×D13—21no—
248C22×D13—42no—
249C22×D13—42no—
250C22×D13—41no—
251C22×D13—41no—
252C22×D13C2×C3×D411yescharacteristic
253C2×#261—22no—
254C2×#261—21no—
255C2×#261—22no—
256C2×#261—21no—
257C2×#261—41no—
258C2×#261—41no—
259C2×#261—42no—
260C2×#261—82no—
261Q8×C13C3×C22⋊C411yescharacteristic, complemented
262D4×C13—21no—
263D4×C13—21no—
264D4×C13—21no—
265D4×C13C3×C22⋊C411yescharacteristic, complemented
266C2×C4×C13—21no—
267C2×C4×C13C22×C3×C411yescharacteristic
268C22⋊D13—21no—
269C22⋊D13—21no—
270C22⋊D13—21no—
271C22⋊D13—41no—
272C22⋊D13—41no—
273C2×Dic13—21no—
274C2×Dic13C3×#4111yescharacteristic
275D52—21no—
276D52—21no—
277D52—21no—
278D52C3×C22⋊C411yescharacteristic, complemented
279C4×D13—21no—
280C4×D13—21no—
281C4×D13—21no—
282C4×D13C2×C3×D411yescharacteristic
283C4×D13C2×C3×D411yescharacteristic
284C4×D13C2×C3×D411yescharacteristic
285C4×D13C3×#4111yescharacteristic
286Dic26—21no—
287Dic26C3×C22⋊C411yescharacteristic, complemented
288#1057—41no—
289C8×C13—21no—
290#1055—21no—
291C2×C3×#41—131no—
292C22×C3×D4—131no—
293C3×AGL(1,ℤ/8)—131no—
294C3×AGL(1,ℤ/8)—131no—
295C3×AGL(1,ℤ/8)—131no—
296C3×AGL(1,ℤ/8)—131no—
297C3×AGL(1,ℤ/8)—261no—
298C3×AGL(1,ℤ/8)—261no—
299C2×C3×SD16—261no—
300C2×C3×D8—261no—
301C2×C3×M16—131no—
302C2×C3×M16—131no—
303C3×C4×Q8—261no—
304C3×C4×D4—262no—
305C3×C4×D4—261no—
306C3×#117—131no—
307C3×#117—261no—
308C2×C3×C4⋊C4—131no—
309C2×C3×C4⋊C4—261no—
310C2×C3×C22⋊C4—262no—
311C2×C3×C42—131no—
312C3×#104—261no—
313C3×#104—261no—
314C3×#102—261no—
315C3×#102—261no—
316C2×C13⋊C3—21no—
317C2×C13⋊C3—41no—
318C2×C13⋊C3—81no—
319C2×C13⋊C3#38611yescharacteristic
320D13⋊C3—21no—
321D13⋊C3—41no—
322D13⋊C3—81no—
323D13⋊C3#45311yescharacteristic
324D13⋊C3#45411yescharacteristic
325C2×AGL(1,ℤ/8)—131no—
326#520—131no—
327C2×#104—131no—
328#418—131no—
329#390—131no—
330#343—131no—
331#339—131no—
332C22×C13—21no—
333C22×C13—42no—
334C22×C13—41no—
335C22×C13C3×C4×D411yescharacteristic
336C2×D13—21no—
337C2×D13—21no—
338C2×D13—21no—
339C2×D13—41no—
340C2×D13—41no—
341C2×D13—42no—
342C2×D13—41no—
343C2×D13—82no—
344C2×D13—81no—
345C2×D13—81no—
346C2×D13C3×#12011yescharacteristic
347C2×D13C3×#12111yescharacteristic
348#261—42no—
349#261—42no—
350#261—41no—
351#261—41no—
352C4×C13—21no—
353C4×C13C2×C3×C22⋊C411yescharacteristic
354C4×C13C3×C4×D411yescharacteristic
355Dic13—21no—
356Dic13C3×#12111yescharacteristic
357Dic13C3×#12311yescharacteristic
358C24×C3—261no—
359C3×#41—131no—
360C3×#41—131no—
361C3×#41—131no—
362C3×#41—131no—
363C3×#41—261no—
364C3×#41—261no—
365C2×C3×Q8—131no—
366C2×C3×D4—131no—
367C2×C3×D4—131no—
368C2×C3×D4—131no—
369C2×C3×D4—261no—
370C2×C3×D4—261no—
371C2×C3×D4—261no—
372C2×C3×D4—261no—
373C2×C3×D4—261no—
374C2×C3×D4—261no—
375C22×C3×C4—131no—
376C22×C3×C4—132no—
377C22×C3×C4—261no—
378C22×C3×C4—261no—
379C22×C3×C4—262no—
380C3×SD16—261no—
381C3×SD16—261no—
382C3×SD16—261no—
383C3×SD16—261no—
384C3×D8—261no—
385C3×D8—261no—
386C3×D8—261no—
387C3×D8—261no—
388C3×M16—131no—
389C3×M16—131no—
390C3×M16—261no—
391C3×M16—261no—
392C3×M16—261no—
393C2×C3×C8—261no—
394C2×C3×C8—261no—
395C3×C4⋊C4—131no—
396C3×C4⋊C4—131no—
397C3×C4⋊C4—261no—
398C3×C4⋊C4—261no—
399C3×C4⋊C4—262no—
400C3×C22⋊C4—261no—
401C3×C22⋊C4—262no—
402C3×C22⋊C4—524no—
403C3×C42—261no—
404C3×C42—261no—
405C3×C42—261no—
406C3×C42—262no—
407C13⋊C3#188311yescharacteristic, complemented, Hall
408C2×#41—131no—
409C22×D4—131no—
410AGL(1,ℤ/8)—131no—
411AGL(1,ℤ/8)—131no—
412AGL(1,ℤ/8)—131no—
413AGL(1,ℤ/8)—261no—
414AGL(1,ℤ/8)—261no—
415AGL(1,ℤ/8)AGL(1,𝔽13)11yescharacteristic, complemented
416C2×SD16—261no—
417C2×D8—261no—
418C2×M16—131no—
419C2×M16—131no—
420C4×Q8—261no—
421C4×D4—262no—
422C4×D4—261no—
423#117—131no—
424#117—261no—
425C2×C4⋊C4—131no—
426C2×C4⋊C4—261no—
427C2×C22⋊C4—262no—
428C2×C42—131no—
429#104—261no—
430#104—261no—
431#102—261no—
432#102—261no—
433C2×C13—21no—
434C2×C13—41no—
435C2×C13—81no—
436C2×C13C3×#38611yescharacteristic
437D13—21no—
438D13—41no—
439D13—81no—
440D13C3×#45311yescharacteristic
441D13C3×#45411yescharacteristic
442C23×C3—131no—
443C23×C3—261no—
444C23×C3—261no—
445C23×C3—261no—
446C23×C3—521no—
447C23×C3—521no—
448C23×C3—522no—
449C23×C3—522no—
450C3×Q8—131no—
451C3×Q8—131no—
452C3×Q8—261no—
453C3×D4—131no—
454C3×D4—131no—
455C3×D4—261no—
456C3×D4—261no—
457C3×D4—261no—
458C3×D4—261no—
459C3×D4—261no—
460C3×D4—261no—
461C3×D4—261no—
462C3×D4—261no—
463C3×D4—261no—
464C3×D4—521no—
465C3×D4—521no—
466C2×C3×C4—131no—
467C2×C3×C4—131no—
468C2×C3×C4—131no—
469C2×C3×C4—131no—
470C2×C3×C4—131no—
471C2×C3×C4—131no—
472C2×C3×C4—261no—
473C2×C3×C4—261no—
474C2×C3×C4—261no—
475C2×C3×C4—261no—
476C2×C3×C4—261no—
477C2×C3×C4—261no—
478C2×C3×C4—261no—
479C2×C3×C4—262no—
480C2×C3×C4—262no—
481C2×C3×C4—521no—
482C2×C3×C4—521no—
483C2×C3×C4—522no—
484C2×C3×C4—1042no—
485C3×C8—261no—
486C3×C8—261no—
487C3×C8—521no—
488C24—261no—
489#41—131no—
490#41—131no—
491#41—131no—
492#41—261no—
493#41—261no—
494#41C2×AGL(1,𝔽13)11yescharacteristic
495C2×Q8—131no—
496C2×D4—131no—
497C2×D4—131no—
498C2×D4—261no—
499C2×D4—261no—
500C2×D4—261no—
501C2×D4—261no—
502C2×D4—261no—
503C2×D4—261no—
504C2×D4C2×AGL(1,𝔽13)11yescharacteristic, complemented
505C22×C4—131no—
506C22×C4—132no—
507C22×C4—261no—
508C22×C4—261no—
509C22×C4—262no—
510SD16—21no—
511SD16—261no—
512SD16—261no—
513SD16—261no—
514D8—21no—
515D8—261no—
516D8—261no—
517D8—261no—
518M16—131no—
519M16—261no—
520M16—261no—
521M16—261no—
522M16C2×AGL(1,𝔽13)11yescharacteristic, complemented
523C2×C8—261no—
524C2×C8—261no—
525C4⋊C4—131no—
526C4⋊C4—131no—
527C4⋊C4—261no—
528C4⋊C4—261no—
529C4⋊C4—262no—
530C22⋊C4—261no—
531C22⋊C4—262no—
532C22⋊C4—524no—
533C42—261no—
534C42—261no—
535C42—261no—
536C42—262no—
537C13C3×#188311yescharacteristic, complemented, Sylow
538C22×C3—131no—
539C22×C3—131no—
540C22×C3—131no—
541C22×C3—261no—
542C22×C3—261no—
543C22×C3—261no—
544C22×C3—261no—
545C22×C3—521no—
546C22×C3—522no—
547C22×C3—521no—
548C22×C3—521no—
549C22×C3—521no—
550C22×C3—522no—
551C22×C3—1041no—
552C22×C3—1041no—
553C22×C3—1042no—
554C3×C4—131no—
555C3×C4—131no—
556C3×C4—131no—
557C3×C4—131no—
558C3×C4—261no—
559C3×C4—261no—
560C3×C4—522no—
561C3×C4—521no—
562C3×C4—521no—
563C3×C4—522no—
564C23—21no—
565C23—131no—
566C23—261no—
567C23—261no—
568C23—521no—
569C23—521no—
570C23—522no—
571C23—522no—
572Q8—131no—
573Q8—261no—
574Q8(C22⋊#261)⋊C311yescharacteristic, complemented
575D4—21no—
576D4—21no—
577D4—21no—
578D4—131no—
579D4—261no—
580D4—261no—
581D4—261no—
582D4—261no—
583D4—261no—
584D4—261no—
585D4—521no—
586D4—521no—
587D4(C22⋊#261)⋊C311yescharacteristic, complemented
588C2×C4—21no—
589C2×C4—131no—
590C2×C4—131no—
591C2×C4—131no—
592C2×C4—131no—
593C2×C4—131no—
594C2×C4—261no—
595C2×C4—261no—
596C2×C4—261no—
597C2×C4—261no—
598C2×C4—261no—
599C2×C4—261no—
600C2×C4—262no—
601C2×C4—262no—
602C2×C4—521no—
603C2×C4—521no—
604C2×C4—522no—
605C2×C4—1042no—
606C2×C4C22×AGL(1,𝔽13)11yescharacteristic
607C8—21no—
608C8—261no—
609C8—521no—
610C2×C3—131no—
611C2×C3—131no—
612C2×C3—131no—
613C2×C3—261no—
614C2×C3—261no—
615C2×C3—521no—
616C2×C3—521no—
617C2×C3—1041no—
618C2×C3—1041no—
619C22—21no—
620C22—42no—
621C22—41no—
622C22—131no—
623C22—131no—
624C22—261no—
625C22—261no—
626C22—261no—
627C22—522no—
628C22—521no—
629C22—521no—
630C22—521no—
631C22—1041no—
632C22—1041no—
633C22—1042no—
634C22D4×AGL(1,𝔽13)11yescharacteristic
635C4—21no—
636C4—131no—
637C4—131no—
638C4—261no—
639C4—522no—
640C4—521no—
641C4—521no—
642C4—522no—
643C4D4×AGL(1,𝔽13)11yescharacteristic
644C4C2×(C22⋊#261)⋊C311yescharacteristic
645C3—131noSylow
646C2—21no—
647C2—41no—
648C2—81no—
649C2—131no—
650C2—131no—
651C2—261no—
652C2—521no—
653C2—1041no—
654C2#7222901011yescharacteristic
subgroupG/H
centerC2#72229010
commutatorC2×C4×C13C22×C3×C4
FrattiniC2×C4C22×AGL(1,𝔽13)
FittingC13×AGL(1,ℤ/8)C3×C4
socleC2×C13C3×#386
prime radicalAGL(1,ℤ/8)×D13⋊C3C2
cosocleC2×C4×D13C23×C3
hypercenterAGL(1,ℤ/8)AGL(1,𝔽13)
hypocenterC13C3×#1883
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2 ◁ C2×C4 ◁ AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #72229130C2semidirect
2. #72229120C2semidirect
3. #72229106C2semidirect
4. #72229103C2semidirect
6. #72229075C2semidirect
7. #72229055C2semidirect
8. #13130836C3semidirect
21. AGL(1,ℤ/8)×C13⋊C3C4semidirect
22. #88203⋊C3C4semidirect
23. #88186⋊C3C4semidirect
28. #88162⋊C3C4semidirect
34. #11719631C2×C3semidirect
36. D13⋊#104C2×C3semidirect
37. #11719151C2×C3semidirect
38. #11719138C2×C3semidirect
39. #11718272C2×C3semidirect
40. #11718271C2×C3semidirect
46. C2×D4×C13⋊C3C2×C4semidirect
60. C2×C4⋊(D13⋊C3)C2×C4semidirect
80. M16×C13⋊C3C2×C4semidirect
85. #6099⋊C3C2×C4semidirect
102. C13×AGL(1,ℤ/8)C3×C4semidirect
103. #88203C3×C4semidirect
104. #88186C3×C4semidirect
109. #88162C3×C4semidirect
132. Q8×C13⋊C3C22⋊C4semidirect
136. D4×C13⋊C3C22⋊C4semidirect
149. C4⋊(D13⋊C3)C22⋊C4semidirect
158. (C13⋊C3)⋊Q8C22⋊C4semidirect
167. C2×D4×C13C2×C3×C4semidirect
181. C2×D52C2×C3×C4semidirect
201. C13×M16C2×C3×C4semidirect
206. #6099C2×C3×C4semidirect
261. Q8×C13C3×C22⋊C4semidirect
265. D4×C13C3×C22⋊C4semidirect
278. D52C3×C22⋊C4semidirect
287. Dic26C3×C22⋊C4semidirect
407. C13⋊C3#1883semidirect
415. AGL(1,ℤ/8)AGL(1,𝔽13)semidirect
504. C2×D4C2×AGL(1,𝔽13)semidirect
522. M16C2×AGL(1,𝔽13)semidirect
537. C13C3×#1883semidirect
574. Q8(C22⋊#261)⋊C3semidirect
587. D4(C22⋊#261)⋊C3semidirect

Maximal subgroups

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

subgroupindex
#722291302
#722291202
#722291062
#722291032
AGL(1,ℤ/8)×D13⋊C32
#722290752
#722290552
#131308363
C3×#188313