Finite Group Databasebeta

← #15830697

Subgroups — #15830697

Order 3328.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123865C211yesmaximal, characteristic, complemented
2#13117746C211yesmaximal, characteristic, complemented
3#13113408C211yesmaximal, characteristic, complemented
4#13113404C211yesmaximal, characteristic, complemented
5#13113379C212yesmaximal, complemented
6#13113374C212yesmaximal, complemented
7#13113361C212yesmaximal, complemented
8#13113340C212yesmaximal, complemented
9C2×#11718130C211yesmaximal, characteristic, complemented
10C2×#11718129C211yesmaximal, characteristic, complemented
11C13×#3505C211yesmaximal, characteristic
12C13×#553—22no—
13C13×#553C412yescomplemented
14C13×#552C412yescomplemented
15C13×#551—22no—
16C13×#548C412yescomplemented
17C13×#546C412yescomplemented
18C13×#539—21no—
19C13×#538—21no—
20C13×#534—21no—
21C13×#529C2212yes—
22C13×#525C2212yes—
23C2×C13×C22⋊Q8C2211yescharacteristic
24C2×C13×#121C2211yescharacteristic
25C13×#518—21no—
26C2×C4×D4×C13C2211yescharacteristic
27C2×D4×Dic13—21no—
28#11718873C2211yescharacteristic
29#11718873C2211yescharacteristic, complemented
30C2×#88071C2211yescharacteristic
31C2×#88071C2211yescharacteristic, complemented
32#11718868C2212yescomplemented
33C2×C22⋊#1055C2211yescharacteristic
34C2×C22⋊#1055C2211yescharacteristic
35#11718672—22no—
36#11718672—22no—
37#11718646—21no—
38#11718611—21no—
39#11718611—21no—
40#11718597C2211yescharacteristic, complemented
41C4×C4⋊Dic13C2211yescharacteristic, complemented
42#11718587C2212yescomplemented
43#11718130C2212yescomplemented
44#11718130C2212yescomplemented
45#11718130C2212yescomplemented
46#11718130C2212yescomplemented
47#11718129C2212yes—
48#11718129C2212yes—
49#11718129C2212yes—
50#11718129C2212yes—
51C2×C13×#41C2×C412yescomplemented
52C22×Q8×C13C2×C411yescharacteristic, complemented
53C22×D4×C13—21no—
54C22×D4×C13C2×C411yescharacteristic, complemented
55C22×D4×C13D411yescharacteristic
56C23×C4×C13C2311yescharacteristic
57C23×C4×C13C2311yescharacteristic
58C23×Dic13—21no—
59C23×Dic13—21no—
60C13×#126—22no—
61C13×#126—22no—
62C13×#126—22no—
63C13×#125—22no—
64C13×#125C2×C412yescomplemented
65C13×#124—22no—
66C13×#124C2×C412yescomplemented
67C13×#123—22no—
68C13×#123—22no—
69C13×#123—22no—
70C13×#123—22no—
71C13×#123—22no—
72C13×C22⋊Q8—21no—
73C13×C22⋊Q8—21no—
74C13×C22⋊Q8—22no—
75C13×C22⋊Q8C2×C412yescomplemented
76C13×C22⋊Q8C2×C412yescomplemented
77C13×C22⋊Q8C2312yes—
78C13×#121—22no—
79C13×#121—22no—
80C13×#121—21no—
81C13×#121—21no—
82C13×#121—22no—
83C13×#121C2×C412yescomplemented
84C13×#121C2×C412yescomplemented
85C13×#121C2312yes—
86C13×#120—22no—
87C13×#120—22no—
88C4×Q8×C13C2×C412yescomplemented
89C4×D4×C13—22no—
90C4×D4×C13—22no—
91C4×D4×C13—22no—
92C4×D4×C13—22no—
93C4×D4×C13—22no—
94C4×D4×C13C2×C412yes—
95C4×D4×C13C2×C412yes—
96C4×D4×C13C2×C412yescomplemented
97C4×D4×C13D412yes—
98C4×D4×C13D412yes—
99C13×#117—22no—
100C13×#117—22no—
101C13×#117C2×C412yescomplemented
102C2×C13×C4⋊C4—21no—
103C2×C13×C4⋊C4C2×C411yescharacteristic, complemented
104C2×C13×C4⋊C4C2×C411yescharacteristic, complemented
105C2×C13×C4⋊C4D411yescharacteristic
106C2×C13×C22⋊C4—21no—
107C2×C13×C22⋊C4—21no—
108C2×C13×C22⋊C4—22no—
109C2×C13×C22⋊C4D411yescharacteristic
110C2×C13×C22⋊C4D411yescharacteristic
111C2×C42×C13C2311yescharacteristic
112C2×C22⋊Dic13—21no—
113C2×C22⋊Dic13—21no—
114D4×Dic13—44no—
115C2×C4⋊Dic13—21no—
116C2×C4⋊Dic13—21no—
117C2×C4⋊Dic13—21no—
118C2×C4⋊Dic13—21no—
119C2×C4×Dic13—21no—
120C2×#6099—22no—
121C22×#1055—21no—
122C22×#1055—21no—
123#88071—21no—
124#88071—21no—
125#88071—21no—
126#88071C2311yescharacteristic
127#88071C2311yescharacteristic
128#88071C2311yescharacteristic
129#88071C2311yescharacteristic
130C22⋊#1055—21no—
131C22⋊#1055—21no—
132C22⋊#1055—22no—
133C22⋊#1055C2312yes—
134C22⋊#1055C2312yes—
135C4⋊#1055—22no—
136#88043—22no—
137#17622—131nomaximal, Sylow
138C24×C13—21no—
139C24×C13C2×D411yescharacteristic
140C24×C13C2×D411yescharacteristic
141C13×#41—82no—
142C2×Q8×C13—21no—
143C2×Q8×C13—81no—
144C2×Q8×C13C22×C412yes—
145C2×D4×C13—22no—
146C2×D4×C13—22no—
147C2×D4×C13—22no—
148C2×D4×C13—22no—
149C2×D4×C13—22no—
150C2×D4×C13—22no—
151C2×D4×C13—21no—
152C2×D4×C13—42no—
153C2×D4×C13—42no—
154C2×D4×C13—81no—
155C2×D4×C13C22⋊C412yes—
156C2×D4×C13C22⋊C412yes—
157C2×D4×C13C22×C412yes—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—22no—
162C22×C4×C13—22no—
163C22×C4×C13—81no—
164C22×C4×C13—81no—
165C22×C4×C13C22×C411yescharacteristic
166C22×C4×C13C22×C411yescharacteristic
167C22×C4×C13C22×C412yes—
168C22×C4×C13C2×D411yescharacteristic
169C22×C4×C13C2×D411yescharacteristic
170C22×C4×C13C2×D411yescharacteristic
171C22×C4×C13C2×D411yescharacteristic
172C22×C4×C13C2×D411yescharacteristic
173C22×C4×C13C2×D411yescharacteristic
174C22×C4×C13C2×D412yes—
175C22×C4×C13C2411yescharacteristic
176C22×Dic13—21no—
177C22×Dic13—21no—
178C22×Dic13—21no—
179C22×Dic13—21no—
180C22×Dic13—42no—
181C22×Dic13—42no—
182C22×Dic13—42no—
183C22×Dic13—42no—
184C22×Dic13—81no—
185C22×Dic13—81no—
186C13×C4⋊C4—22no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—22no—
190C13×C4⋊C4—22no—
191C13×C4⋊C4—22no—
192C13×C4⋊C4—22no—
193C13×C4⋊C4—22no—
194C13×C4⋊C4C22⋊C412yes—
195C13×C4⋊C4C22⋊C412yes—
196C13×C4⋊C4C22×C412yes—
197C13×C4⋊C4C22×C412yes—
198C13×C22⋊C4—22no—
199C13×C22⋊C4—22no—
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⋊C4C22⋊C412yes—
209C13×C22⋊C4C22⋊C412yes—
210C13×C22⋊C4C22⋊C412yes—
211C13×C22⋊C4C22⋊C412yes—
212C42×C13—22no—
213C42×C13—22no—
214C42×C13C22×C412yes—
215C42×C13C2×D412yes—
216C22⋊Dic13—42no—
217C22⋊Dic13—42no—
218C4⋊Dic13—42no—
219C4⋊Dic13—42no—
220C4⋊Dic13—81no—
221C4⋊Dic13—81no—
222C4×Dic13—42no—
223#6099—82no—
224C2×#1055—22no—
225C2×#1055—22no—
226C2×#1055—81no—
227C2×#1055—81no—
228#3505D1311yescharacteristic
229#2973—131no—
230#2349—131no—
231#1520—131no—
232#1519—131no—
233#1513—132no—
234#1512—132no—
235#1509—132no—
236#1504—132no—
237C2×#328—131no—
238C2×#327—131no—
239C23×C13—21no—
240C23×C13—21no—
241C23×C13—22no—
242C23×C13—41no—
243C23×C13—41no—
244C23×C13—41no—
245C23×C13—41no—
246C23×C13—42no—
247C23×C13—81no—
248C23×C13—81no—
249C23×C13C2×C22⋊C412yes—
250C23×C13C2×C22⋊C411yescharacteristic
251C23×C13C2×C22⋊C411yescharacteristic
252C23×C13AGL(1,ℤ/8)12yes—
253C23×C13#13712yes—
254C23×C13C22×D411yescharacteristic
255Q8×C13—42no—
256Q8×C13—81no—
257D4×C13—24no—
258D4×C13—24no—
259D4×C13—42no—
260D4×C13—42no—
261D4×C13—42no—
262D4×C13—44no—
263D4×C13—81no—
264D4×C13—82no—
265D4×C13—82no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—22no—
269C2×C4×C13—22no—
270C2×C4×C13—22no—
271C2×C4×C13—41no—
272C2×C4×C13—41no—
273C2×C4×C13—42no—
274C2×C4×C13—41no—
275C2×C4×C13—41no—
276C2×C4×C13—41no—
277C2×C4×C13—41no—
278C2×C4×C13—41no—
279C2×C4×C13—41no—
280C2×C4×C13—42no—
281C2×C4×C13—42no—
282C2×C4×C13—82no—
283C2×C4×C13—82no—
284C2×C4×C13—81no—
285C2×C4×C13—81no—
286C2×C4×C13C2×C22⋊C412yes—
287C2×C4×C13C2×C22⋊C412yes—
288C2×C4×C13C2×C22⋊C412yes—
289C2×C4×C13C2×C22⋊C411yescharacteristic
290C2×C4×C13C2×C22⋊C411yescharacteristic
291C2×C4×C13C23×C411yescharacteristic
292C2×C4×C13C22×D411yescharacteristic
293C2×Dic13—22no—
294C2×Dic13—41no—
295C2×Dic13—41no—
296C2×Dic13—41no—
297C2×Dic13—41no—
298C2×Dic13—41no—
299C2×Dic13—41no—
300C2×Dic13—41no—
301C2×Dic13—41no—
302C2×Dic13—41no—
303C2×Dic13—41no—
304C2×Dic13—41no—
305C2×Dic13—84no—
306C2×Dic13—84no—
307#1055—42no—
308#1055—42no—
309#553—22no—
310#553Dic1312yescomplemented
311#552Dic1312yescomplemented
312#551—22no—
313#548Dic1312yescomplemented
314#546Dic1312yescomplemented
315#539—21no—
316#538—21no—
317#534—21no—
318#529C2×D1312yes—
319#525C2×D1312yes—
320C2×C22⋊Q8C2×D1311yescharacteristic
321C2×#121C2×D1311yescharacteristic
322#518—21no—
323C2×C4×D4—261no—
324C2×C4×D4C2×D1311yescharacteristic
325#435—262no—
326#435—262no—
327#432—132no—
328#407—132no—
329C2×C22⋊C8—131no—
330C2×C22⋊C8—131no—
331#389—261no—
332#385—261no—
333#385—261no—
334#382—131no—
335#380—131no—
336#380—131no—
337C4×C4⋊C4—131no—
338C2×#95—131no—
339C2×#95—131no—
340#328—132no—
341#328—132no—
342#328—132no—
343#328—132no—
344#327—132no—
345#327—132no—
346#327—132no—
347#327—132no—
348C22×C13—21no—
349C22×C13—21no—
350C22×C13—21no—
351C22×C13—21no—
352C22×C13—21no—
353C22×C13—21no—
354C22×C13—22no—
355C22×C13—22no—
356C22×C13—22no—
357C22×C13—42no—
358C22×C13—42no—
359C22×C13—42no—
360C22×C13—42no—
361C22×C13—42no—
362C22×C13—42no—
363C22×C13—42no—
364C22×C13—162no—
365C22×C13#41712yes—
366C22×C13#41712yes—
367C22×C13C22×C22⋊C411yescharacteristic
368C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
369C22×C13C2×#13711yescharacteristic
370C4×C13—21no—
371C4×C13—21no—
372C4×C13—22no—
373C4×C13—21no—
374C4×C13—21no—
375C4×C13—22no—
376C4×C13—22no—
377C4×C13—42no—
378C4×C13—42no—
379C4×C13—42no—
380Dic13—42no—
381Dic13—81no—
382Dic13—81no—
383Dic13—81no—
384C2×#41C2×Dic1312yescomplemented
385C22×Q8C2×Dic1311yescharacteristic, complemented
386C22×D4—21no—
387C22×D4C2×Dic1311yescharacteristic, complemented
388C22×D4C22⋊D1311yescharacteristic
389C23×C4—261no—
390C23×C4—261no—
391C23×C4C22×D1311yescharacteristic
392C23×C4C22×D1311yescharacteristic
393C2×M16—262no—
394C22×C8—261no—
395C22×C8—261no—
396#126—22no—
397#126—22no—
398#126—22no—
399#125—22no—
400#125C2×Dic1312yescomplemented
401#124—22no—
402#124C2×Dic1312yescomplemented
403#123—22no—
404#123—22no—
405#123—22no—
406#123—22no—
407#123—22no—
408C22⋊Q8—21no—
409C22⋊Q8—21no—
410C22⋊Q8—22no—
411C22⋊Q8C2×Dic1312yescomplemented
412C22⋊Q8C2×Dic1312yescomplemented
413C22⋊Q8C22×D1312yes—
414#121—22no—
415#121—22no—
416#121—21no—
417#121—21no—
418#121—22no—
419#121C2×Dic1312yescomplemented
420#121C2×Dic1312yescomplemented
421#121C22×D1312yes—
422#120—22no—
423#120—22no—
424C4×Q8C2×Dic1312yescomplemented
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—524no—
431C4×D4C2×Dic1312yes—
432C4×D4C2×Dic1312yes—
433C4×D4C2×Dic1312yescomplemented
434C4×D4C22⋊D1312yes—
435C4×D4C22⋊D1312yes—
436#117—22no—
437#117—22no—
438#117C2×Dic1312yescomplemented
439C2×C4⋊C4—21no—
440C2×C4⋊C4—261no—
441C2×C4⋊C4—261no—
442C2×C4⋊C4—261no—
443C2×C4⋊C4—261no—
444C2×C4⋊C4C2×Dic1311yescharacteristic, complemented
445C2×C4⋊C4C2×Dic1311yescharacteristic, complemented
446C2×C4⋊C4C22⋊D1311yescharacteristic
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—22no—
450C2×C22⋊C4—261no—
451C2×C22⋊C4—261no—
452C2×C22⋊C4C22⋊D1311yescharacteristic
453C2×C22⋊C4C22⋊D1311yescharacteristic
454C2×C42—261no—
455C2×C42C22×D1311yescharacteristic
456C4⋊C8—262no—
457C22⋊C8—132no—
458C22⋊C8—132no—
459C22⋊C8—261no—
460C22⋊C8—261no—
461C22⋊C8—262no—
462#97—262no—
463#95—131no—
464#95—131no—
465#95—131no—
466#95—131no—
467#95—261no—
468#95—261no—
469#95—261no—
470C2×C13—21no—
471C2×C13—21no—
472C2×C13—22no—
473C2×C13—22no—
474C2×C13—42no—
475C2×C13—82no—
476C2×C13#288311yescharacteristic
477C2×C13C2×#41711yescharacteristic
478C2×C13#290111yescharacteristic
479C24—21no—
480C24C2×C22⋊D1311yescharacteristic
481C24C2×C22⋊D1311yescharacteristic
482#41—82no—
483C2×Q8—21no—
484C2×Q8—81no—
485C2×Q8C22×Dic1312yes—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—21no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—81no—
496C2×D4C22⋊Dic1312yes—
497C2×D4C22⋊Dic1312yes—
498C2×D4C22×Dic1312yes—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—261no—
507C22×C4—261no—
508C22×C4—261no—
509C22×C4—261no—
510C22×C4—522no—
511C22×C4—522no—
512C22×C4—522no—
513C22×C4—522no—
514C22×C4—1041no—
515C22×C4—1041no—
516C22×C4C22×Dic1311yescharacteristic
517C22×C4C22×Dic1311yescharacteristic
518C22×C4C22×Dic1312yes—
519C22×C4C2×C22⋊D1311yescharacteristic
520C22×C4C2×C22⋊D1311yescharacteristic
521C22×C4C2×C22⋊D1311yescharacteristic
522C22×C4C2×C22⋊D1311yescharacteristic
523C22×C4C2×C22⋊D1311yescharacteristic
524C22×C4C2×C22⋊D1311yescharacteristic
525C22×C4C2×C22⋊D1312yes—
526C22×C4C23×D1311yescharacteristic
527M16—1042no—
528C2×C8—262no—
529C2×C8—262no—
530C2×C8—1041no—
531C2×C8—1041no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—522no—
541C4⋊C4—522no—
542C4⋊C4—1041no—
543C4⋊C4—1041no—
544C4⋊C4C22⋊Dic1312yes—
545C4⋊C4C22⋊Dic1312yes—
546C4⋊C4C22×Dic1312yes—
547C4⋊C4C22×Dic1312yes—
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—522no—
559C22⋊C4—522no—
560C22⋊C4C22⋊Dic1312yes—
561C22⋊C4C22⋊Dic1312yes—
562C22⋊C4C22⋊Dic1312yes—
563C22⋊C4C22⋊Dic1312yes—
564C42—22no—
565C42—22no—
566C42—522no—
567C42C22×Dic1312yes—
568C42C2×C22⋊D1312yes—
569C13#1762211yescharacteristic, complemented, Sylow
570C23—21no—
571C23—21no—
572C23—22no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—42no—
578C23—81no—
579C23—81no—
580C23#8820312yes—
581C23#8820512yes—
582C23C2×C22⋊Dic1312yes—
583C23C2×C22⋊Dic1311yescharacteristic
584C23C2×C22⋊Dic1311yescharacteristic
585C23C22×C22⋊D1311yescharacteristic
586Q8—42no—
587Q8—81no—
588D4—24no—
589D4—24no—
590D4—42no—
591D4—42no—
592D4—42no—
593D4—44no—
594D4—81no—
595D4—82no—
596D4—82no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—82no—
614C2×C4—82no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—262no—
618C2×C4—521no—
619C2×C4—521no—
620C2×C4—521no—
621C2×C4—521no—
622C2×C4—521no—
623C2×C4—521no—
624C2×C4—521no—
625C2×C4—521no—
626C2×C4—521no—
627C2×C4—521no—
628C2×C4—521no—
629C2×C4—1044no—
630C2×C4—1044no—
631C2×C4C2×C22⋊Dic1312yes—
632C2×C4C2×C22⋊Dic1312yes—
633C2×C4C2×C22⋊Dic1312yes—
634C2×C4C2×C22⋊Dic1311yescharacteristic
635C2×C4C2×C22⋊Dic1311yescharacteristic
636C2×C4C23×Dic1311yescharacteristic
637C2×C4C22×C22⋊D1311yescharacteristic
638C8—522no—
639C8—522no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—162no—
657C22#1171889312yes—
658C22#1171889312yes—
659C22C2×#8820311yescharacteristic
660C22C2×#8820511yescharacteristic
661C22C22×C22⋊Dic1311yescharacteristic
662C4—22no—
663C4—22no—
664C4—21no—
665C4—21no—
666C4—22no—
667C4—21no—
668C4—21no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—522no—
673C4—1041no—
674C4—1041no—
675C4—1041no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—82no—
682C2#1312329711yescharacteristic
683C2C2×#1171889311yescharacteristic
684C2#1312338311yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
Fitting, prime radicalC13×#3505C2
socleC22×C13C22×C22⋊C4
cosocleC22×C4×C13C24
hypercenter#3505D13
hypocenterC13#17622
LCSG ▷ C2×C4×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #13123865C2semidirect
2. #13117746C2semidirect
3. #13113408C2semidirect
4. #13113404C2semidirect
5. #13113379C2semidirect
6. #13113374C2semidirect
7. #13113361C2semidirect
8. #13113340C2semidirect
9. C2×#11718130C2semidirect
10. C2×#11718129C2semidirect
13. C13×#553C4semidirect
14. C13×#552C4semidirect
16. C13×#548C4semidirect
17. C13×#546C4semidirect
29. #11718873C22semidirect
31. C2×#88071C22semidirect
32. #11718868C22semidirect
40. #11718597C22semidirect
41. C4×C4⋊Dic13C22semidirect
42. #11718587C22semidirect
43. #11718130C22semidirect
44. #11718130C22semidirect
45. #11718130C22semidirect
46. #11718130C22semidirect
51. C2×C13×#41C2×C4semidirect
52. C22×Q8×C13C2×C4semidirect
54. C22×D4×C13C2×C4semidirect
64. C13×#125C2×C4semidirect
66. C13×#124C2×C4semidirect
75. C13×C22⋊Q8C2×C4semidirect
76. C13×C22⋊Q8C2×C4semidirect
83. C13×#121C2×C4semidirect
84. C13×#121C2×C4semidirect
88. C4×Q8×C13C2×C4semidirect
96. C4×D4×C13C2×C4semidirect
101. C13×#117C2×C4semidirect
103. C2×C13×C4⋊C4C2×C4semidirect
104. C2×C13×C4⋊C4C2×C4semidirect
310. #553Dic13semidirect
311. #552Dic13semidirect
313. #548Dic13semidirect
314. #546Dic13semidirect
384. C2×#41C2×Dic13semidirect
385. C22×Q8C2×Dic13semidirect
387. C22×D4C2×Dic13semidirect
400. #125C2×Dic13semidirect
402. #124C2×Dic13semidirect
411. C22⋊Q8C2×Dic13semidirect
412. C22⋊Q8C2×Dic13semidirect
419. #121C2×Dic13semidirect
420. #121C2×Dic13semidirect
424. C4×Q8C2×Dic13semidirect
433. C4×D4C2×Dic13semidirect
438. #117C2×Dic13semidirect
444. C2×C4⋊C4C2×Dic13semidirect
445. C2×C4⋊C4C2×Dic13semidirect
569. C13#17622semidirect

Maximal subgroups

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

subgroupindex
#131238652
#131177462
#131134082
#131134042
#131133792
#131133742
#131133612
#131133402
C2×#117181302
C2×#117181292
C13×#35052
#1762213