Finite Group Databasebeta

← #16028183

Subgroups — #16028183

Order 3328.

2244 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13118002C214yesmaximal, complemented
2#13117926C212yesmaximal, complemented
3#13117896C211yesmaximal, characteristic, complemented
4#13117867C212yesmaximal, complemented
5#13117809C212yesmaximal
6#13117793C211yesmaximal, characteristic, complemented
7#13117785C211yesmaximal, characteristic
8Q8×C22⋊Dic13C212yesmaximal, complemented
9#13117594C214yesmaximal, complemented
10#13117585C212yesmaximal, complemented
11#13117520C212yesmaximal, complemented
12#13117479C212yesmaximal
13#13117422C212yesmaximal, complemented
14C4⋊Q8×Dic13C211yesmaximal, characteristic, complemented
15#13117314C211yesmaximal, characteristic, complemented
16#13117301C211yesmaximal, characteristic
17C2×D4×Q8×C13C211yesmaximal, characteristic
18C23×Q8×C13C2212yes—
19D4×Q8×C13C4116yescomplemented
20C2×C13×C4⋊Q8C2212yes—
21C2×C13×C4⋊Q8C2211yescharacteristic
22C2×C13×C22⋊Q8C2214yes—
23C2×C13×C22⋊Q8C2212yes—
24C2×C4×Q8×C13C2211yescharacteristic
25C2×C4×D4×C13C2212yes—
26C2×C4×D4×C13C2211yescharacteristic
27C2×Q8×Dic13C2212yes—
28C2×Q8×Dic13C2212yes—
29C2×#88180C2212yes—
30C2×#88180C2212yes—
31#11718891C2214yes—
32#11718891C2214yes—
33#11718891C2212yes—
34#11718891C2212yes—
35#11718891C2211yescharacteristic
36#11718891C2211yescharacteristic
37#11718891C2214yes—
38#11718891C2214yes—
39#11718891C2212yes—
40#11718882C2211yescharacteristic
41#11718882C2212yes—
42#11718882C2211yescharacteristic
43#11718873C2214yes—
44#11718873C2212yes—
45#11718872C2214yes—
46#11718872C2214yes—
47C4×C22⋊Dic13C2214yes—
48C4×C22⋊Dic13C2212yes—
49#11718646C2212yes—
50#11718646C2212yes—
51#11718646C2212yes—
52#11718646C2214yes—
53#11718646C2211yescharacteristic
54#11718646C2211yescharacteristic
55#11718646C2211yescharacteristic
56#11718646C2211yescharacteristic
57#11718642C2212yes—
58#11718642C2214yes—
59#11718642C2214yes—
60#11718642C2214yes—
61#11718642C2214yes—
62#11718642C2212yes—
63C4⋊C4×Dic13C2212yes—
64C4⋊C4×Dic13C2212yes—
65C4⋊C4×Dic13C2212yes—
66C4⋊C4×Dic13C2212yes—
67C4⋊C4×Dic13C2212yes—
68C4⋊C4×Dic13C2214yes—
69#11718612C2214yes—
70#11718612C2214yes—
71#11718612C2212yes—
72#11718612C2214yes—
73#11718612C2214yes—
74#11718612C2214yes—
75#11718612C2212yes—
76#11718597C2212yes—
77#11718596C2211yescharacteristic
78C4×C4⋊Dic13C2212yes—
79C4×C4⋊Dic13C2211yescharacteristic
80C4×C4⋊Dic13C2211yescharacteristic
81C4×C4⋊Dic13C2212yes—
82#11718593C2212yes—
83C42×Dic13C2211yescharacteristic
84C22×Q8×C13—44no—
85C22×Q8×C13—44no—
86C22×Q8×C13C2×C4116yes—
87C22×Q8×C13C2312yes—
88C22×Q8×C13C2311yescharacteristic
89C22×Q8×C13C2314yes—
90C22×D4×C13C2311yescharacteristic
91C23×C4×C13C2312yes—
92C23×C4×C13C2314yes—
93C13×C4⋊Q8C2×C418yes—
94C13×C4⋊Q8C2×C4116yes—
95C13×C22⋊Q8C2×C4116yes—
96C13×C22⋊Q8C2×C4132yes—
97C4×Q8×C13C2×C418yes—
98C4×D4×C13C2×C418yes—
99C4×D4×C13C2×C4116yes—
100C2×C13×C4⋊C4C2312yes—
101C2×C13×C4⋊C4C2311yescharacteristic
102C2×C13×C4⋊C4C2311yescharacteristic
103C2×C13×C4⋊C4C2312yes—
104C2×C13×C4⋊C4C2312yes—
105C2×C13×C4⋊C4C2314yes—
106C2×C13×C22⋊C4C2314yes—
107C2×C13×C22⋊C4C2312yes—
108C2×C42×C13C2311yescharacteristic
109C2×C42×C13C2312yes—
110C2×C22⋊Dic13C2312yes—
111C2×C22⋊Dic13C2312yes—
112C2×C22⋊Dic13C2312yes—
113C2×C22⋊Dic13C2314yes—
114C2×C22⋊Dic13C2312yes—
115C2×C22⋊Dic13C2314yes—
116Q8×Dic13—44no—
117Q8×Dic13—44no—
118#88180—44no—
119#88180—44no—
120C2×C4⋊Dic13C2311yescharacteristic
121C2×C4⋊Dic13C2312yes—
122C2×C4⋊Dic13C2311yescharacteristic
123C2×C4⋊Dic13C2311yescharacteristic
124C2×C4⋊Dic13C2312yes—
125C2×C4⋊Dic13C2311yescharacteristic
126C2×C4⋊Dic13C2312yes—
127C2×C4⋊Dic13C2312yes—
128C2×C4⋊Dic13C2312yes—
129C2×C4⋊Dic13C2314yes—
130C2×C4⋊Dic13C2314yes—
131C2×C4⋊Dic13C2312yes—
132C2×C4⋊Dic13C2312yes—
133C2×C4×Dic13C2311yescharacteristic
134C2×C4×Dic13C2312yes—
135C2×C4×Dic13C2311yescharacteristic
136C2×C4×Dic13C2311yescharacteristic
137C2×C4×Dic13C2311yescharacteristic
138C2×C4×Dic13C2311yescharacteristic
139C2×C4×Dic13C2312yes—
140C2×C4×Dic13C2314yes—
141C2×C4×Dic13C2314yes—
142C2×C4×Dic13C2314yes—
143C2×C4×Dic13C2311yescharacteristic
144C2×C4×Dic13C2314yes—
145#88071C2312yes—
146#88071C2312yes—
147#88071C2312yes—
148#88071C2312yes—
149#88071C2312yes—
150#88071C2312yes—
151#88071C2312yes—
152#88071C2312yes—
153#88071C2314yes—
154#88071C2314yes—
155#88071C2314yes—
156#88071C2312yes—
157#88071C2312yes—
158#88071C2314yes—
159#88071C2314yes—
160#88071C2314yes—
161#88071C2314yes—
162#88071C2314yes—
163#34487—131nomaximal, Sylow
164C24×C13C2412yes—
165C2×Q8×C13—24no—
166C2×Q8×C13—24no—
167C2×Q8×C13—22no—
168C2×Q8×C13—22no—
169C2×Q8×C13—44no—
170C2×Q8×C13—44no—
171C2×Q8×C13—432no—
172C2×Q8×C13C22×C414yes—
173C2×Q8×C13C22×C418yes—
174C2×Q8×C13C22×C4116yes—
175C2×D4×C13—22no—
176C2×D4×C13—22no—
177C2×D4×C13C22×C414yes—
178C22×C4×C13—24no—
179C22×C4×C13—24no—
180C22×C4×C13—44no—
181C22×C4×C13—44no—
182C22×C4×C13C22×C418yes—
183C22×C4×C13C22×C4116yes—
184C22×C4×C13C2412yes—
185C22×C4×C13C2411yescharacteristic
186C22×C4×C13C2412yes—
187C22×C4×C13C2412yes—
188C22×C4×C13C2414yes—
189C22×C4×C13C2411yescharacteristic
190C22×C4×C13C2411yescharacteristic
191C22×Dic13C2412yes—
192C22×Dic13C2411yescharacteristic
193C22×Dic13C2412yes—
194C22×Dic13C2411yescharacteristic
195C22×Dic13C2412yes—
196C22×Dic13C2411yescharacteristic
197C22×Dic13C2412yes—
198C22×Dic13C2414yes—
199C22×Dic13C2411yescharacteristic
200C13×C4⋊C4C22×C414yes—
201C13×C4⋊C4C22×C418yes—
202C13×C4⋊C4C22×C418yes—
203C13×C4⋊C4C22×C414yes—
204C13×C4⋊C4C22×C4116yes—
205C13×C4⋊C4C22×C418yes—
206C13×C22⋊C4C22×C418yes—
207C13×C22⋊C4C22×C4116yes—
208C42×C13C22×C418yes—
209C42×C13C22×C414yes—
210C22⋊Dic13—24no—
211C22⋊Dic13—42no—
212C22⋊Dic13—42no—
213C22⋊Dic13—44no—
214C22⋊Dic13—42no—
215C22⋊Dic13—44no—
216C4⋊Dic13—22no—
217C4⋊Dic13—24no—
218C4⋊Dic13—22no—
219C4⋊Dic13—22no—
220C4⋊Dic13—24no—
221C4⋊Dic13—22no—
222C4⋊Dic13—24no—
223C4⋊Dic13—42no—
224C4⋊Dic13—42no—
225C4⋊Dic13—42no—
226C4⋊Dic13—42no—
227C4⋊Dic13—44no—
228C4⋊Dic13—44no—
229C4×Dic13—22no—
230C4×Dic13—24no—
231C4×Dic13—22no—
232C4×Dic13—22no—
233C4×Dic13—24no—
234C4×Dic13—22no—
235C4×Dic13—22no—
236C4×Dic13—44no—
237C4×Dic13—41no—
238C4×Dic13—44no—
239C4×Dic13—44no—
240C4×Dic13—44no—
241C2×D4×Q8D1311yescharacteristic
242#2378—134no—
243#2369—132no—
244#2365—131no—
245#2362—132no—
246#2357—132no—
247#2355—131no—
248#2354—131no—
249Q8×C22⋊C4—132no—
250#2332—134no—
251#2331—132no—
252#2323—132no—
253#2319—132no—
254#2310—132no—
255C4×C4⋊Q8—131no—
256#2295—131no—
257#2293—131no—
258C23×C13—22no—
259C23×C13—22no—
260C23×C13—22no—
261C23×C13—22no—
262C23×C13—22no—
263C23×C13—22no—
264C23×C13C23×C414yes—
265C23×C13C2511yescharacteristic
266Q8×C13—28no—
267Q8×C13—216no—
268Q8×C13—416no—
269D4×C13—28no—
270C2×C4×C13—22no—
271C2×C4×C13—24no—
272C2×C4×C13—24no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—21no—
277C2×C4×C13—22no—
278C2×C4×C13—22no—
279C2×C4×C13—21no—
280C2×C4×C13—216no—
281C2×C4×C13—416no—
282C2×C4×C13C23×C412yes—
283C2×C4×C13C23×C414yes—
284C2×C4×C13C23×C414yes—
285C2×C4×C13C23×C414yes—
286C2×C4×C13C23×C418yes—
287C2×C4×C13C23×C412yes—
288C2×C4×C13C23×C412yes—
289C2×C4×C13H(5,𝔽2)12yes—
290C2×C4×C13H(5,𝔽2)12yes—
291C2×C4×C132−1+412yes—
292C2×C4×C132−1+412yes—
293C2×Dic13—21no—
294C2×Dic13—21no—
295C2×Dic13—22no—
296C2×Dic13—21no—
297C2×Dic13—22no—
298C2×Dic13—21no—
299C2×Dic13—21no—
300C2×Dic13—22no—
301C2×Dic13—24no—
302C2×Dic13—22no—
303C2×Dic13—21no—
304C2×Dic13—22no—
305C2×Dic13—21no—
306C2×Dic13—21no—
307C2×Dic13—22no—
308C2×Dic13—21no—
309C2×Dic13—22no—
310C2×Dic13—22no—
311C2×Dic13—22no—
312C2×Dic13—24no—
313C2×Dic13—22no—
314C2×Dic13—22no—
315C2×Dic13—21no—
316C2×Dic13—24no—
317C2×Dic13—21no—
318C2×Dic13—22no—
319C2×Dic132−1+412yes—
320C23×Q8C2×D1312yes—
321D4×Q8Dic13116yescomplemented
322C2×C4⋊Q8C2×D1311yescharacteristic
323C2×C4⋊Q8C2×D1312yes—
324C2×C22⋊Q8C2×D1312yes—
325C2×C22⋊Q8C2×D1314yes—
326C2×C4×Q8—132no—
327C2×C4×Q8—132no—
328C2×C4×Q8C2×D1311yescharacteristic
329C2×C4×D4C2×D1312yes—
330C2×C4×D4C2×D1311yescharacteristic
331C2×#117—132no—
332C2×#117—132no—
333#391—132no—
334#391—131no—
335#391—134no—
336#391—132no—
337#391—132no—
338#391—134no—
339#391—134no—
340#391—134no—
341#391—131no—
342#390—131no—
343#390—132no—
344#390—131no—
345#389—132no—
346#389—132no—
347#389—132no—
348#389—131no—
349#389—134no—
350#389—131no—
351#389—131no—
352#389—131no—
353#388—134no—
354#388—134no—
355#388—134no—
356#388—132no—
357#388—134no—
358#388—134no—
359#388—132no—
360#387—134no—
361#387—134no—
362#387—132no—
363#387—134no—
364#387—134no—
365#387—132no—
366#384—131no—
367#382—132no—
368#381—134no—
369#381—134no—
370#380—134no—
371#380—132no—
372C4×C4⋊C4—132no—
373C4×C4⋊C4—132no—
374C4×C4⋊C4—132no—
375C4×C4⋊C4—132no—
376C4×C4⋊C4—132no—
377C4×C4⋊C4—134no—
378C4×C4⋊C4—132no—
379C4×C4⋊C4—131no—
380C4×C4⋊C4—131no—
381C4×C4⋊C4—132no—
382C4×C22⋊C4—134no—
383C4×C22⋊C4—132no—
384#376—132no—
385C43—131no—
386C22×C13—24no—
387C22×C13—24no—
388C22×C13—24no—
389C22×C13—42no—
390C22×C13—42no—
391C22×C13—42no—
392C22×C13—42no—
393C22×C13C24×C411yescharacteristic
394C22×C13C2×H(5,𝔽2)11yescharacteristic
395C22×C13C2×H(5,𝔽2)11yescharacteristic
396C22×C13C2×2−1+411yescharacteristic
397C22×C13C2×2−1+411yescharacteristic
398C22×C13C2×2−1+411yescharacteristic
399C22×C13#58511yescharacteristic
400C4×C13—24no—
401C4×C13—24no—
402C4×C13—28no—
403C4×C13—22no—
404C4×C13—24no—
405C4×C13#51814yes—
406C4×C13#51914yes—
407Dic13—22no—
408Dic13—42no—
409Dic13—41no—
410Dic13—42no—
411Dic13—42no—
412Dic13—41no—
413Dic13—42no—
414Dic13—41no—
415Dic13—44no—
416C22×Q8—44no—
417C22×Q8—44no—
418C22×Q8C2×Dic13116yes—
419C22×Q8C22×D1312yes—
420C22×Q8C22×D1311yescharacteristic
421C22×Q8C22×D1314yes—
422C22×D4C22×D1311yescharacteristic
423C23×C4C22×D1312yes—
424C23×C4C22×D1314yes—
425C4⋊Q8C2×Dic1318yes—
426C4⋊Q8C2×Dic13116yes—
427C22⋊Q8C2×Dic13116yes—
428C22⋊Q8C2×Dic13132yes—
429C4×Q8—524no—
430C4×Q8—524no—
431C4×Q8C2×Dic1318yes—
432C4×D4C2×Dic1318yes—
433C4×D4C2×Dic13116yes—
434#117—524no—
435#117—524no—
436C2×C4⋊C4—131no—
437C2×C4⋊C4—132no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—131no—
440C2×C4⋊C4—132no—
441C2×C4⋊C4—132no—
442C2×C4⋊C4—131no—
443C2×C4⋊C4—132no—
444C2×C4⋊C4—132no—
445C2×C4⋊C4—134no—
446C2×C4⋊C4—134no—
447C2×C4⋊C4—132no—
448C2×C4⋊C4—132no—
449C2×C4⋊C4C22×D1312yes—
450C2×C4⋊C4C22×D1311yescharacteristic
451C2×C4⋊C4C22×D1311yescharacteristic
452C2×C4⋊C4C22×D1312yes—
453C2×C4⋊C4C22×D1314yes—
454C2×C4⋊C4C22×D1312yes—
455C2×C22⋊C4—132no—
456C2×C22⋊C4—132no—
457C2×C22⋊C4—132no—
458C2×C22⋊C4—134no—
459C2×C22⋊C4—134no—
460C2×C22⋊C4—132no—
461C2×C22⋊C4C22×D1314yes—
462C2×C22⋊C4C22×D1312yes—
463C2×C42—131no—
464C2×C42—132no—
465C2×C42—131no—
466C2×C42—131no—
467C2×C42—131no—
468C2×C42—131no—
469C2×C42—132no—
470C2×C42—134no—
471C2×C42—134no—
472C2×C42—134no—
473C2×C42—131no—
474C2×C42—134no—
475C2×C42C22×D1311yescharacteristic
476C2×C42C22×D1312yes—
477#95—132no—
478#95—132no—
479#95—132no—
480#95—132no—
481#95—132no—
482#95—132no—
483#95—134no—
484#95—132no—
485#95—134no—
486#95—134no—
487#95—132no—
488#95—134no—
489#95—134no—
490#95—134no—
491#95—134no—
492#95—134no—
493#95—132no—
494#95—132no—
495C2×C13—44no—
496C2×C13C2×#51811yescharacteristic
497C2×C13C2×#51911yescharacteristic
498C2×C13C4×2−1+411yescharacteristic
499C2×C13#354711yescharacteristic
500C2×C13#355011yescharacteristic
501C2×C13#355211yescharacteristic
502C2×C13#355411yescharacteristic
503C24C23×D1312yes—
504C2×Q8—24no—
505C2×Q8—24no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—44no—
509C2×Q8—44no—
510C2×Q8—432no—
511C2×Q8C22×Dic1314yes—
512C2×Q8C22×Dic1318yes—
513C2×Q8C22×Dic13116yes—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4C22×Dic1314yes—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—131no—
522C22×C4—132no—
523C22×C4—131no—
524C22×C4—132no—
525C22×C4—131no—
526C22×C4—132no—
527C22×C4—131no—
528C22×C4—134no—
529C22×C4—132no—
530C22×C4C22×Dic1318yes—
531C22×C4C22×Dic13116yes—
532C22×C4C23×D1312yes—
533C22×C4C23×D1311yescharacteristic
534C22×C4C23×D1312yes—
535C22×C4C23×D1312yes—
536C22×C4C23×D1314yes—
537C22×C4C23×D1311yescharacteristic
538C22×C4C23×D1311yescharacteristic
539C4⋊C4—264no—
540C4⋊C4—262no—
541C4⋊C4—264no—
542C4⋊C4—262no—
543C4⋊C4—262no—
544C4⋊C4—262no—
545C4⋊C4—264no—
546C4⋊C4—522no—
547C4⋊C4—522no—
548C4⋊C4—524no—
549C4⋊C4—524no—
550C4⋊C4—522no—
551C4⋊C4—522no—
552C4⋊C4C22×Dic1314yes—
553C4⋊C4C22×Dic1318yes—
554C4⋊C4C22×Dic1318yes—
555C4⋊C4C22×Dic1314yes—
556C4⋊C4C22×Dic13116yes—
557C4⋊C4C22×Dic1318yes—
558C22⋊C4—264no—
559C22⋊C4—522no—
560C22⋊C4—522no—
561C22⋊C4—524no—
562C22⋊C4—522no—
563C22⋊C4—524no—
564C22⋊C4C22×Dic1318yes—
565C22⋊C4C22×Dic13116yes—
566C42—262no—
567C42—262no—
568C42—264no—
569C42—262no—
570C42—262no—
571C42—264no—
572C42—262no—
573C42—524no—
574C42—524no—
575C42—524no—
576C42—524no—
577C42—521no—
578C42C22×Dic1318yes—
579C42C22×Dic1314yes—
580C13#3448711yescharacteristic, complemented, Sylow
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23C23×Dic1314yes—
588C23C24×D1311yescharacteristic
589Q8—28no—
590Q8—216no—
591Q8—416no—
592D4—28no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—216no—
604C2×C4—416no—
605C2×C4—132no—
606C2×C4—261no—
607C2×C4—261no—
608C2×C4—262no—
609C2×C4—261no—
610C2×C4—261no—
611C2×C4—262no—
612C2×C4—261no—
613C2×C4—262no—
614C2×C4—264no—
615C2×C4—262no—
616C2×C4—261no—
617C2×C4—262no—
618C2×C4—261no—
619C2×C4—262no—
620C2×C4—261no—
621C2×C4—262no—
622C2×C4—262no—
623C2×C4—264no—
624C2×C4—261no—
625C2×C4—262no—
626C2×C4—262no—
627C2×C4—262no—
628C2×C4—261no—
629C2×C4—264no—
630C2×C4—261no—
631C2×C4—262no—
632C2×C4#8825112yes—
633C2×C4#8825112yes—
634C2×C4#8825412yes—
635C2×C4#8825412yes—
636C2×C4C23×Dic1312yes—
637C2×C4C23×Dic1314yes—
638C2×C4C23×Dic1314yes—
639C2×C4C23×Dic1314yes—
640C2×C4C23×Dic1318yes—
641C2×C4C23×Dic1312yes—
642C2×C4C23×Dic1312yes—
643C22—24no—
644C22—24no—
645C22—24no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22C2×#8825111yescharacteristic
651C22C2×#8825111yescharacteristic
652C22C2×#8825411yescharacteristic
653C22C2×#8825411yescharacteristic
654C22D13×2−1+411yescharacteristic
655C22#1171965211yescharacteristic
656C22C24×Dic1311yescharacteristic
657C4—24no—
658C4—24no—
659C4—28no—
660C4—22no—
661C4—24no—
662C4—262no—
663C4—521no—
664C4—522no—
665C4—522no—
666C4—522no—
667C4—521no—
668C4—522no—
669C4—521no—
670C4—524no—
671C4#1171950314yes—
672C4#1171951714yes—
673C2—44no—
674C2C2×#1171950311yescharacteristic
675C2C2×#1171951711yescharacteristic
676C22−1+4×Dic1311yescharacteristic
677C2#1312922111yescharacteristic
678C2#1312924311yescharacteristic
679C2#1312927811yescharacteristic
680C2#1312930811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC2×D4×Q8×C13C2
socle, cosocleC23×C13C25
prime radicalC22×D4×C13C23
hypercenterC2×D4×Q8D13
hypocenterC13#34487
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×D4×Q8

Complements

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

NH ≅ G/Ntype
1. #13118002C2semidirect
2. #13117926C2semidirect
3. #13117896C2semidirect
4. #13117867C2semidirect
6. #13117793C2semidirect
8. Q8×C22⋊Dic13C2semidirect
9. #13117594C2semidirect
10. #13117585C2semidirect
11. #13117520C2semidirect
13. #13117422C2semidirect
14. C4⋊Q8×Dic13C2semidirect
15. #13117314C2semidirect
19. D4×Q8×C13C4semidirect
321. D4×Q8Dic13semidirect
580. C13#34487semidirect

Maximal subgroups

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

subgroupindex
#131180022
#131179262
#131178962
#131178672
#131178092
#131177932
#131177852
Q8×C22⋊Dic132
#131175942
#131175852
#131175202
#131174792
#131174222
C4⋊Q8×Dic132
#131173142
#131173012
C2×D4×Q8×C132
#3448713