Finite Group Databasebeta

← #15869497

Subgroups — #15869497

Order 3328.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718825C211yesmaximal, characteristic, complemented
2C22×#88055C211yesmaximal, characteristic, complemented
3C22⋊Q8×Dic13C211yesmaximal, characteristic, complemented
4#121×Dic13C211yesmaximal, characteristic
5#13115719C211yesmaximal, characteristic, complemented
6#13115580C211yesmaximal, characteristic, complemented
7#13115535C211yesmaximal, characteristic, complemented
8#13115528C211yesmaximal, characteristic, complemented
9#13115265C211yesmaximal, characteristic
10#13115260C211yesmaximal, characteristic, complemented
11#13114865C211yesmaximal, characteristic, complemented
12#13114736C211yesmaximal, characteristic, complemented
13#13114668C211yesmaximal, characteristic, complemented
14#13114663C211yesmaximal, characteristic, complemented
15C2×C13×#465C211yesmaximal, characteristic
16C22×C13×SD16C2211yescharacteristic
17C23×C8×C13C2211yescharacteristic
18C2×C13×C22⋊Q8C2211yescharacteristic
19C2×C13×#121C2211yescharacteristic
20C2×Q8×Dic13C2211yescharacteristic
21C2×D4×Dic13—21no—
22C2×D4×Dic13C2211yescharacteristic
23C22×C4×Dic13C2211yescharacteristic
24C23×#1055C2211yescharacteristic
25C13×#465C418yescomplemented
26C2×C13×#106C2211yescharacteristic
27C2×C13×#103C2211yescharacteristic
28C2×C13×#102C2211yescharacteristic
29#11718891C2211yescharacteristic
30C2×#88075C2211yescharacteristic
31C2×#88075C2211yescharacteristic
32#11718882C2211yescharacteristic
33#11718881—21no—
34C2×#88072C2211yescharacteristic
35C2×#88072C2211yescharacteristic
36#11718873C2211yescharacteristic
37#11718873C2211yescharacteristic
38#11718825—24no—
39C2×#88058C2211yescharacteristic
40C2×#88058C2211yescharacteristic
41C2×#88055—24no—
42C2×#88055C2211yescharacteristic
43C2×#88055C2211yescharacteristic
44C2×#88055C2211yescharacteristic
45C2×#88055C2211yescharacteristic
46#11718646C2211yescharacteristic
47#11718646C2211yescharacteristic
48#11718642—21no—
49C4⋊C4×Dic13—21no—
50C4⋊C4×Dic13C2211yescharacteristic
51C4⋊C4×Dic13C2211yescharacteristic
52#11718612—21no—
53#11718611—21no—
54C22⋊C4×Dic13—21no—
55C22⋊C4×Dic13—21no—
56#11718143C2211yescharacteristic
57#11718143C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×Q8×C13C2311yescharacteristic
63C22×D4×C13—21no—
64C22×D4×C13C2311yescharacteristic
65C23×C4×C13C2311yescharacteristic
66C23×Dic13—21no—
67C23×Dic13D411yescharacteristic
68C23×Dic13D411yescharacteristic
69C2×C13×SD16—22no—
70C2×C13×SD16—22no—
71C2×C13×SD16C2×C414yescomplemented
72C22×C8×C13—22no—
73C22×C8×C13—22no—
74C22×C8×C13C2×C414yescomplemented
75C22×C8×C13C2311yescharacteristic
76C22×C8×C13C2311yescharacteristic
77C13×C22⋊Q8—22no—
78C13×C22⋊Q8C2×C414yescomplemented
79C13×#121—22no—
80C13×#121C2×C414yes—
81C2×C13×C4⋊C4—21no—
82C2×C13×C4⋊C4C2311yescharacteristic
83C2×C13×C4⋊C4C2311yescharacteristic
84C2×C13×C22⋊C4—21no—
85C2×C13×C22⋊C4—21no—
86C2×C22⋊Dic13—21no—
87C2×C22⋊Dic13—21no—
88C2×C22⋊Dic13—21no—
89C2×C22⋊Dic13—21no—
90C2×C22⋊Dic13—21no—
91Q8×Dic13—22no—
92Q8×Dic13—22no—
93D4×Dic13—22no—
94D4×Dic13—22no—
95D4×Dic13—44no—
96C2×C4⋊Dic13—21no—
97C2×C4⋊Dic13—21no—
98C2×C4⋊Dic13—21no—
99C2×C4⋊Dic13C2311yescharacteristic
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×C4×Dic13—22no—
104C2×C4×Dic13—22no—
105C2×C4×Dic13—21no—
106C2×C4×Dic13—21no—
107C2×C4×Dic13—21no—
108C2×C4×Dic13D411yescharacteristic
109C2×C4×Dic13D411yescharacteristic
110C2×C4×Dic13C2311yescharacteristic
111C2×C4×Dic13C2311yescharacteristic
112C22×#1055—22no—
113C22×#1055—22no—
114C22×#1055—22no—
115C22×#1055C2311yescharacteristic
116C22×#1055C2311yescharacteristic
117C13×#106C2×C414yescomplemented
118C13×#103C2×C414yescomplemented
119C13×#102C2×C414yescomplemented
120#88075—22no—
121#88075—22no—
122#88072—22no—
123#88072—22no—
124#88071—21no—
125#88071—21no—
126#88071—21no—
127#88071—21no—
128#88071—21no—
129#88071—21no—
130#88071—21no—
131#88071—21no—
132#88058—22no—
133#88058—22no—
134#88055—22no—
135#88055—22no—
136#88055—22no—
137#88055D414yescomplemented
138#21528—131nomaximal, Sylow
139C24×C13—21no—
140C24×C13C2×D411yescharacteristic
141C2×Q8×C13—21no—
142C2×Q8×C13—21no—
143C2×Q8×C13—21no—
144C2×Q8×C13—21no—
145C2×Q8×C13—21no—
146C2×Q8×C13C22×C412yes—
147C2×D4×C13—24no—
148C2×D4×C13—21no—
149C2×D4×C13—21no—
150C2×D4×C13—21no—
151C2×D4×C13—21no—
152C2×D4×C13—21no—
153C2×D4×C13—42no—
154C2×D4×C13—42no—
155C2×D4×C13C22×C412yes—
156C22×C4×C13—21no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13—21no—
161C22×C4×C13—21no—
162C22×C4×C13—21no—
163C22×C4×C13C22×C412yes—
164C22×C4×C13C2×D411yescharacteristic
165C22×C4×C13#4112yes—
166C22×C4×C13C2411yescharacteristic
167C22×Dic13—22no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—21no—
172C22×Dic13—21no—
173C22×Dic13—21no—
174C22×Dic13—21no—
175C22×Dic13—41no—
176C22×Dic13—41no—
177C22×Dic13—42no—
178C22×Dic13—42no—
179C22×Dic13—42no—
180C22×Dic13C2×D411yescharacteristic
181C22×Dic13C2×D411yescharacteristic
182C22×Dic13C2×D411yescharacteristic
183C22×Dic13C2×D411yescharacteristic
184C13×SD16—28no—
185C2×C8×C13—21no—
186C2×C8×C13—21no—
187C2×C8×C13—28no—
188C2×C8×C13C22×C412yes—
189C2×C8×C13C22×C412yes—
190C2×C8×C13C2×D412yes—
191C2×C8×C13#4112yes—
192C13×C4⋊C4—24no—
193C13×C4⋊C4—21no—
194C13×C4⋊C4—21no—
195C13×C4⋊C4C22×C412yes—
196C13×C4⋊C4C22×C412yes—
197C13×C22⋊C4—24no—
198C13×C22⋊C4—24no—
199C22⋊Dic13—42no—
200C22⋊Dic13—42no—
201C22⋊Dic13—42no—
202C22⋊Dic13—42no—
203C22⋊Dic13—42no—
204C4⋊Dic13—21no—
205C4⋊Dic13—21no—
206C4⋊Dic13—21no—
207C4⋊Dic13—21no—
208C4⋊Dic13—21no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—42no—
213C4⋊Dic13—42no—
214C4⋊Dic13—42no—
215C4×Dic13—21no—
216C4×Dic13—21no—
217C4×Dic13—22no—
218C4×Dic13—22no—
219C4×Dic13—42no—
220C4×Dic13—42no—
221C4×Dic13—42no—
222C4×Dic13C2×D412yes—
223C4×Dic13#4112yes—
224C2×#1055—28no—
225C2×#1055—21no—
226C2×#1055—21no—
227C2×#1055—21no—
228C2×#1055—21no—
229C2×#1055C2×D412yes—
230C2×#1055#4112yes—
231C2×#465D1311yescharacteristic
232C2×#440—131no—
233C22×#97—131no—
234C4×C22⋊Q8—131no—
235C4×#121—131no—
236#1973—131no—
237#1944—131no—
238#1936—131no—
239#1935—131no—
240#1893—131no—
241#1892—131no—
242#1808—131no—
243#1776—131no—
244#1763—131no—
245#1762—131no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13—22no—
251C23×C13—41no—
252C23×C13—41no—
253C23×C13—41no—
254C23×C13—41no—
255C23×C13—41no—
256C23×C13—41no—
257C23×C13C4×D412yes—
258C23×C13AGL(1,ℤ/8)12yes—
259C23×C13#13712yes—
260C23×C13C22×D411yescharacteristic
261Q8×C13—22no—
262Q8×C13—22no—
263Q8×C13—41no—
264Q8×C13—41no—
265D4×C13—22no—
266D4×C13—22no—
267D4×C13—48no—
268D4×C13—41no—
269D4×C13—41no—
270C2×C4×C13—21no—
271C2×C4×C13—21no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—41no—
280C2×C4×C13—41no—
281C2×C4×C13—41no—
282C2×C4×C13—41no—
283C2×C4×C13—41no—
284C2×C4×C13—41no—
285C2×C4×C13C4×D412yes—
286C2×C4×C13C23×C411yescharacteristic
287C2×C4×C13C22×D411yescharacteristic
288C2×C4×C13C2×#4111yescharacteristic
289C2×C4×C13C2×#4111yescharacteristic
290C2×C4×C13C2×#4111yescharacteristic
291C2×C4×C13C2×#4111yescharacteristic
292C2×Dic13—21no—
293C2×Dic13—21no—
294C2×Dic13—21no—
295C2×Dic13—21no—
296C2×Dic13—21no—
297C2×Dic13—21no—
298C2×Dic13—21no—
299C2×Dic13—21no—
300C2×Dic13—21no—
301C2×Dic13—21no—
302C2×Dic13—44no—
303C2×Dic13—44no—
304C2×Dic13—41no—
305C2×Dic13—41no—
306C2×Dic13—41no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314C2×Dic13—41no—
315C2×Dic13—41no—
316C2×Dic13—84no—
317C2×Dic13#12112yes—
318C2×Dic13#12112yes—
319C8×C13—22no—
320C8×C13C4×D414yescomplemented
321#1055—22no—
322#1055—22no—
323C22×SD16C2×D1311yescharacteristic
324C23×C8—131no—
325C23×C8C2×D1311yescharacteristic
326C2×C22⋊Q8C2×D1311yescharacteristic
327C2×#121C2×D1311yescharacteristic
328C2×C4×Q8—131no—
329C2×C4×D4—131no—
330C2×C4×D4—261no—
331C22×C42—131no—
332#465Dic1318yescomplemented
333#440—264no—
334C2×#107—131no—
335C2×#107—131no—
336C2×#106C2×D1311yescharacteristic
337C2×#103—131no—
338C2×#103—131no—
339C2×#103C2×D1311yescharacteristic
340C2×#102—131no—
341C2×#102—131no—
342C2×#102C2×D1311yescharacteristic
343C2×#97—131no—
344C2×#97—131no—
345C2×#97—131no—
346C2×#97—131no—
347C2×#97—264no—
348#391—131no—
349#390—131no—
350#389—131no—
351#389—131no—
352#388—261no—
353#387—261no—
354#386—261no—
355#385—261no—
356#380—131no—
357#380—131no—
358C4×C4⋊C4—131no—
359C4×C4⋊C4—131no—
360C4×C4⋊C4—261no—
361C4×C22⋊C4—261no—
362C4×C22⋊C4—261no—
363#340—131no—
364#340—131no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369C22×C13—22no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—22no—
375C22×C13—42no—
376C22×C13—42no—
377C22×C13—42no—
378C22×C13—81no—
379C22×C13—81no—
380C22×C13—81no—
381C22×C13—81no—
382C22×C13#44014yescomplemented
383C22×C13C2×C4×D411yescharacteristic
384C22×C13C2×#12111yescharacteristic
385C22×C13#53211yescharacteristic
386C22×C13C2×AGL(1,ℤ/8)11yescharacteristic
387C22×C13C2×#13711yescharacteristic
388C22×C13#57511yescharacteristic
389C22×C13#57511yescharacteristic
390C4×C13—22no—
391C4×C13—42no—
392C4×C13—42no—
393C4×C13—42no—
394C4×C13C2×C4×D411yescharacteristic
395C4×C13C4×#4111yescharacteristic
396C4×C13#52511yescharacteristic
397C4×C13#52911yescharacteristic
398Dic13—22no—
399Dic13—22no—
400Dic13—41no—
401Dic13—41no—
402Dic13—81no—
403Dic13—81no—
404Dic13—81no—
405Dic13—81no—
406C22×Q8C22×D1311yescharacteristic
407C22×D4—21no—
408C22×D4C22×D1311yescharacteristic
409C23×C4—131no—
410C23×C4—131no—
411C23×C4—261no—
412C23×C4C22×D1311yescharacteristic
413C2×SD16—22no—
414C2×SD16—22no—
415C2×SD16C2×Dic1314yescomplemented
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—131no—
419C22×C8—131no—
420C22×C8—262no—
421C22×C8—262no—
422C22×C8—262no—
423C22×C8C2×Dic1314yescomplemented
424C22×C8C22×D1311yescharacteristic
425C22×C8C22×D1311yescharacteristic
426C22⋊Q8—22no—
427C22⋊Q8C2×Dic1314yescomplemented
428#121—22no—
429#121C2×Dic1314yes—
430C4×Q8—262no—
431C4×Q8—262no—
432C4×D4—262no—
433C4×D4—262no—
434C4×D4—524no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—131no—
437C2×C4⋊C4—131no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—131no—
440C2×C4⋊C4—261no—
441C2×C4⋊C4—261no—
442C2×C4⋊C4—261no—
443C2×C4⋊C4C22×D1311yescharacteristic
444C2×C4⋊C4C22×D1311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—261no—
448C2×C22⋊C4—261no—
449C2×C22⋊C4—261no—
450C2×C22⋊C4—261no—
451C2×C22⋊C4—261no—
452C2×C42—131no—
453C2×C42—131no—
454C2×C42—131no—
455C2×C42—131no—
456C2×C42—262no—
457C2×C42—262no—
458C2×C42—261no—
459C2×C42—261no—
460C2×C42—261no—
461#107—262no—
462#107—262no—
463#106C2×Dic1314yescomplemented
464#103—262no—
465#103—262no—
466#103C2×Dic1314yescomplemented
467#102—262no—
468#102—262no—
469#102C2×Dic1314yescomplemented
470#97—134no—
471#97—262no—
472#97—262no—
473#97—262no—
474#95—261no—
475#95—261no—
476#95—261no—
477#95—261no—
478#95—261no—
479#95—261no—
480#95—261no—
481#95—261no—
482C2×C13—24no—
483C2×C13—82no—
484C2×C13C4×#12111yescharacteristic
485C2×C13C2×#44011yescharacteristic
486C2×C13#294311yescharacteristic
487C2×C13#305511yescharacteristic
488C2×C13#305611yescharacteristic
489C2×C13#318011yescharacteristic
490C2×C13#318111yescharacteristic
491C24—21no—
492C24D4×D1311yescharacteristic
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8C22×Dic1312yes—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C22×Dic1312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—131no—
516C22×C4—131no—
517C22×C4—131no—
518C22×C4—131no—
519C22×C4—262no—
520C22×C4—262no—
521C22×C4—262no—
522C22×C4—262no—
523C22×C4—261no—
524C22×C4—261no—
525C22×C4—261no—
526C22×C4—261no—
527C22×C4—522no—
528C22×C4—521no—
529C22×C4—521no—
530C22×C4—522no—
531C22×C4—522no—
532C22×C4D4×D1311yescharacteristic
533C22×C4#612912yes—
534C22×C4C22×Dic1312yes—
535C22×C4C23×D1311yescharacteristic
536SD16—28no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—28no—
540C2×C8—132no—
541C2×C8—132no—
542C2×C8—268no—
543C2×C8—261no—
544C2×C8—261no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8D4×D1312yes—
548C2×C8#612912yes—
549C2×C8C22×Dic1312yes—
550C2×C8C22×Dic1312yes—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—261no—
555C4⋊C4—261no—
556C4⋊C4—261no—
557C4⋊C4—261no—
558C4⋊C4—261no—
559C4⋊C4—261no—
560C4⋊C4—261no—
561C4⋊C4—261no—
562C4⋊C4—522no—
563C4⋊C4—522no—
564C4⋊C4—522no—
565C4⋊C4C22×Dic1312yes—
566C4⋊C4C22×Dic1312yes—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—522no—
570C22⋊C4—522no—
571C22⋊C4—522no—
572C22⋊C4—522no—
573C22⋊C4—522no—
574C42—132no—
575C42—132no—
576C42—262no—
577C42—262no—
578C42—261no—
579C42—261no—
580C42—522no—
581C42—522no—
582C42—522no—
583C13#2152811yescharacteristic, complemented, Sylow
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—22no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23#8816812yes—
596C23#8816912yes—
597C23D4×Dic1312yes—
598C23C2×D4×D1311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—48no—
606D4—41no—
607D4—41no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—132no—
624C2×C4—132no—
625C2×C4—261no—
626C2×C4—261no—
627C2×C4—261no—
628C2×C4—261no—
629C2×C4—261no—
630C2×C4—261no—
631C2×C4—261no—
632C2×C4—261no—
633C2×C4—261no—
634C2×C4—261no—
635C2×C4—524no—
636C2×C4—524no—
637C2×C4—521no—
638C2×C4—521no—
639C2×C4—521no—
640C2×C4—521no—
641C2×C4—521no—
642C2×C4—521no—
643C2×C4—521no—
644C2×C4—521no—
645C2×C4—521no—
646C2×C4—521no—
647C2×C4—521no—
648C2×C4—521no—
649C2×C4—1044no—
650C2×C4D4×Dic1312yes—
651C2×C4C2×D4×D1311yescharacteristic
652C2×C4C2×#612911yescharacteristic
653C2×C4C2×#612911yescharacteristic
654C2×C4#41×D1311yescharacteristic
655C2×C4#41×D1311yescharacteristic
656C2×C4C23×Dic1311yescharacteristic
657C8—22no—
658C8—262no—
659C8—262no—
660C8D4×Dic1314yescomplemented
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22#1171882514yescomplemented
675C22#1171930111yescharacteristic
676C22D13×#12111yescharacteristic
677C22C2×#8816811yescharacteristic
678C22C2×#8816911yescharacteristic
679C22#1171947311yescharacteristic
680C22#1171947311yescharacteristic
681C22C2×D4×Dic1311yescharacteristic
682C4—22no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—262no—
687C4—262no—
688C4—521no—
689C4—521no—
690C4—1041no—
691C4—1041no—
692C4—1041no—
693C4—1041no—
694C4#1171930511yescharacteristic
695C4#1171931111yescharacteristic
696C4C2×D4×Dic1311yescharacteristic
697C4#41×Dic1311yescharacteristic
698C2—24no—
699C2—82no—
700C2#121×Dic1311yescharacteristic
701C2C2×#1171882511yescharacteristic
702C2#1312363711yescharacteristic
703C2#1312444811yescharacteristic
704C2#1312445911yescharacteristic
705C2#1312552711yescharacteristic
706C2#1312553811yescharacteristic
subgroupG/H
centerC23C2×D4×D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC2×C13×#465C2
socleC23×C13C22×D4
prime radicalC2×C13×#121C22
cosocleC22×C4×C13C24
hypercenterC2×#465D13
hypocenterC13#21528
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#465

Complements

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

NH ≅ G/Ntype
1. C2×#11718825C2semidirect
2. C22×#88055C2semidirect
3. C22⋊Q8×Dic13C2semidirect
5. #13115719C2semidirect
6. #13115580C2semidirect
7. #13115535C2semidirect
8. #13115528C2semidirect
10. #13115260C2semidirect
11. #13114865C2semidirect
12. #13114736C2semidirect
13. #13114668C2semidirect
14. #13114663C2semidirect
25. C13×#465C4semidirect
71. C2×C13×SD16C2×C4semidirect
74. C22×C8×C13C2×C4semidirect
78. C13×C22⋊Q8C2×C4semidirect
117. C13×#106C2×C4semidirect
118. C13×#103C2×C4semidirect
119. C13×#102C2×C4semidirect
137. #88055D4semidirect
320. C8×C13C4×D4semidirect
332. #465Dic13semidirect
382. C22×C13#440semidirect
415. C2×SD16C2×Dic13semidirect
423. C22×C8C2×Dic13semidirect
427. C22⋊Q8C2×Dic13semidirect
463. #106C2×Dic13semidirect
466. #103C2×Dic13semidirect
469. #102C2×Dic13semidirect
583. C13#21528semidirect
660. C8D4×Dic13semidirect
674. C22#11718825semidirect

Maximal subgroups

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

subgroupindex
C2×#117188252
C22×#880552
C22⋊Q8×Dic132
#121×Dic132
#131157192
#131155802
#131155352
#131155282
#131152652
#131152602
#131148652
#131147362
#131146682
#131146632
C2×C13×#4652
#2152813