Finite Group Databasebeta

← #15786646

Subgroups — #15786646

Order 3328.

1530 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718634C211yesmaximal, characteristic
2C2×#11718634C211yesmaximal, characteristic
3C2×C4×#6101C211yesmaximal, characteristic
4C2×C4×C4⋊Dic13C211yesmaximal, characteristic
5#13113099C212yesmaximal
6#13113086C212yesmaximal
7#13113071C212yesmaximal
8#13113065C211yesmaximal, characteristic
9#13113065C211yesmaximal, characteristic
10#13113064C212yesmaximal
11C2×C13×#389C211yesmaximal, characteristic
12C22×C13×C4⋊C4C2211yescharacteristic
13C22×C13×C4⋊C4C2211yescharacteristic
14C22×C13×C4⋊C4C2212yes—
15C22×C42×C13C2211yescharacteristic
16C22×C4⋊Dic13C2211yescharacteristic
17C22×C4⋊Dic13C2211yescharacteristic
18C22×#6101C2211yescharacteristic
19C22×#6101C2212yes—
20C22×#6101C2211yescharacteristic
21C22×#6101C2212yes—
22C22×C4×Dic13C2211yescharacteristic
23C22×C4×Dic13C2212yes—
24C22×C4×Dic13C2211yescharacteristic
25C13×#389—24no—
26C2×C13×#95C2212yes—
27C2×#88071C2212yes—
28C2×#88071C2212yes—
29C2×#88071C2212yes—
30C2×#88071C2211yescharacteristic
31C2×#88071C2211yescharacteristic
32C2×#88071C2212yes—
33C2×#88071C2212yes—
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36#11718634—24no—
37#11718634C418yescomplemented
38C4×C4⋊Dic13—24no—
39C4×#6101—24no—
40C23×C4×C13C2312yes—
41C23×C4×C13C2312yes—
42C23×C4×C13C2311yescharacteristic
43C23×C4×C13C2311yescharacteristic
44C23×C4×C13C2311yescharacteristic
45C23×Dic13C2311yescharacteristic
46C23×Dic13C2311yescharacteristic
47C23×Dic13C2312yes—
48C23×Dic13C2311yescharacteristic
49C23×Dic13C2312yes—
50C23×Dic13C2311yescharacteristic
51C2×C13×C4⋊C4—22no—
52C2×C13×C4⋊C4—22no—
53C2×C13×C4⋊C4—24no—
54C2×C13×C4⋊C4—22no—
55C2×C13×C4⋊C4—22no—
56C2×C13×C4⋊C4—22no—
57C2×C13×C4⋊C4—42no—
58C2×C13×C4⋊C4—42no—
59C2×C13×C4⋊C4C2×C414yes—
60C2×C42×C13—22no—
61C2×C42×C13—22no—
62C2×C42×C13D414yes—
63C2×C4⋊Dic13—22no—
64C2×C4⋊Dic13—22no—
65C2×C4⋊Dic13C2×C414yes—
66C2×C4⋊Dic13D414yes—
67C2×C4⋊Dic13Q814yes—
68C2×C4⋊Dic13Q814yes—
69C2×#6101—22no—
70C2×#6101—22no—
71C2×#6101—22no—
72C2×#6101—22no—
73C2×#6101—22no—
74C2×#6101—24no—
75C2×#6101—24no—
76C2×#6101—42no—
77C2×#6101—42no—
78C2×#6101—42no—
79C2×#6101C2×C418yes—
80C2×#6101Q814yes—
81C2×C4×Dic13—22no—
82C2×C4×Dic13—22no—
83C2×C4×Dic13—22no—
84C2×C4×Dic13—22no—
85C2×C4×Dic13—22no—
86C2×C4×Dic13—24no—
87C2×C4×Dic13—24no—
88C2×C4×Dic13—42no—
89C2×C4×Dic13C2×C414yes—
90C13×#95—24no—
91#88071—22no—
92#88071—22no—
93#88071—24no—
94#88071—24no—
95#88071—24no—
96#88071—42no—
97#88071—42no—
98#88071—42no—
99#88071C2×C418yes—
100#14045—131nomaximal, Sylow
101C24×C13C2411yescharacteristic
102C22×C4×C13—21no—
103C22×C4×C13—21no—
104C22×C4×C13—21no—
105C22×C4×C13—21no—
106C22×C4×C13—21no—
107C22×C4×C13—22no—
108C22×C4×C13—21no—
109C22×C4×C13—21no—
110C22×C4×C13—21no—
111C22×C4×C13—22no—
112C22×C4×C13—22no—
113C22×C4×C13—22no—
114C22×C4×C13—22no—
115C22×C4×C13—21no—
116C22×C4×C13—21no—
117C22×C4×C13—22no—
118C22×C4×C13—22no—
119C22×C4×C13—22no—
120C22×C4×C13—22no—
121C22×C4×C13—22no—
122C22×C4×C13—22no—
123C22×C4×C13—22no—
124C22×C4×C13—22no—
125C22×C4×C13C22×C414yes—
126C22×C4×C13C22×C412yes—
127C22×C4×C13C2×D412yes—
128C22×C4×C13C2×D412yes—
129C22×C4×C13C2×D412yes—
130C22×C4×C13C2×D412yes—
131C22×C4×C13C2×Q812yes—
132C22×C4×C13C2×Q812yes—
133C22×C4×C13C2×Q812yes—
134C22×C4×C13#4112yes—
135C22×C4×C13#4112yes—
136C22×C4×C13#4112yes—
137C22×Dic13—21no—
138C22×Dic13—21no—
139C22×Dic13—22no—
140C22×Dic13—21no—
141C22×Dic13—21no—
142C22×Dic13—22no—
143C22×Dic13—22no—
144C22×Dic13—22no—
145C22×Dic13—21no—
146C22×Dic13—21no—
147C22×Dic13—21no—
148C22×Dic13—21no—
149C22×Dic13—22no—
150C22×Dic13—21no—
151C22×Dic13—22no—
152C22×Dic13—21no—
153C22×Dic13—21no—
154C22×Dic13—21no—
155C22×Dic13—22no—
156C22×Dic13—21no—
157C22×Dic13—21no—
158C22×Dic13—22no—
159C22×Dic13—21no—
160C22×Dic13—21no—
161C22×Dic13—21no—
162C22×Dic13—22no—
163C22×Dic13—22no—
164C22×Dic13—21no—
165C22×Dic13—21no—
166C22×Dic13—21no—
167C22×Dic13—21no—
168C22×Dic13—21no—
169C22×Dic13C22×C412yes—
170C22×Dic13C22×C414yes—
171C22×Dic13C22×C412yes—
172C22×Dic13C2×D414yes—
173C22×Dic13C2×Q812yes—
174C22×Dic13C2×Q814yes—
175C22×Dic13C2×Q814yes—
176C22×Dic13C2×Q812yes—
177C22×Dic13#4112yes—
178C22×Dic13#4112yes—
179C13×C4⋊C4—28no—
180C13×C4⋊C4—48no—
181C13×C4⋊C4—44no—
182C42×C13—28no—
183C4⋊Dic13—28no—
184C4⋊Dic13C4⋊C4116yescomplemented
185#6101—28no—
186#6101—28no—
187#6101—48no—
188#6101—48no—
189C4×Dic13—28no—
190C4×Dic13—48no—
191C4×Dic13—44no—
192C2×#389—131no—
193C2×#389—131no—
194C2×#389D1311yescharacteristic
195C2×C4×C4⋊C4—131no—
196C2×C4×C4⋊C4—131no—
197#1444—132no—
198#1441—132no—
199#1436—132no—
200C4⋊#95—132no—
201C4⋊#95—131no—
202C4⋊#95—131no—
203C23×C13C23×C411yescharacteristic
204C23×C13C22×D411yescharacteristic
205C23×C13C22×D411yescharacteristic
206C23×C13C22×Q811yescharacteristic
207C23×C13C22×Q811yescharacteristic
208C23×C13C22×Q811yescharacteristic
209C23×C13C2×#4111yescharacteristic
210C23×C13C2×#4111yescharacteristic
211C23×C13C2×#4111yescharacteristic
212C23×C13C2×#4111yescharacteristic
213C23×C13C2×#4111yescharacteristic
214C23×C13H(5,𝔽2)11yescharacteristic
215C23×C13H(5,𝔽2)11yescharacteristic
216C23×C13H(5,𝔽2)11yescharacteristic
217C23×C132−1+411yescharacteristic
218C2×C4×C13—22no—
219C2×C4×C13—22no—
220C2×C4×C13—22no—
221C2×C4×C13—22no—
222C2×C4×C13—22no—
223C2×C4×C13—22no—
224C2×C4×C13—24no—
225C2×C4×C13—24no—
226C2×C4×C13—24no—
227C2×C4×C13—22no—
228C2×C4×C13—22no—
229C2×C4×C13—22no—
230C2×C4×C13—42no—
231C2×C4×C13—42no—
232C2×C4×C13—42no—
233C2×C4×C13—42no—
234C2×C4×C13—41no—
235C2×C4×C13—41no—
236C2×C4×C13—41no—
237C2×C4×C13—41no—
238C2×C4×C13—42no—
239C2×C4×C13—42no—
240C2×C4×C13—42no—
241C2×C4×C13—42no—
242C2×C4×C13—42no—
243C2×C4×C13—42no—
244C2×C4×C13—42no—
245C2×C4×C13C2×C4⋊C414yes—
246C2×C4×C13C4×D414yes—
247C2×C4×C13C4×Q814yes—
248C2×C4×C13#12114yes—
249C2×C4×C13C22⋊Q814yes—
250C2×C4×C13C22⋊Q814yes—
251C2×C4×C13#12514yes—
252C2×C4×C13C4⋊Q814yes—
253C2×Dic13—22no—
254C2×Dic13—24no—
255C2×Dic13—22no—
256C2×Dic13—24no—
257C2×Dic13—22no—
258C2×Dic13—22no—
259C2×Dic13—22no—
260C2×Dic13—22no—
261C2×Dic13—24no—
262C2×Dic13—24no—
263C2×Dic13—24no—
264C2×Dic13—24no—
265C2×Dic13—22no—
266C2×Dic13—22no—
267C2×Dic13—22no—
268C2×Dic13—22no—
269C2×Dic13—24no—
270C2×Dic13—22no—
271C2×Dic13—22no—
272C2×Dic13—22no—
273C2×Dic13—22no—
274C2×Dic13—22no—
275C2×Dic13—24no—
276C2×Dic13—24no—
277C2×Dic13—41no—
278C2×Dic13—41no—
279C2×Dic13—42no—
280C2×Dic13—41no—
281C2×Dic13—41no—
282C2×Dic13—41no—
283C2×Dic13—41no—
284C2×Dic13—41no—
285C2×Dic13—42no—
286C2×Dic13—41no—
287C2×Dic13—42no—
288C2×Dic13—41no—
289C2×Dic13—41no—
290C2×Dic13—42no—
291C2×Dic13—41no—
292C2×Dic13—41no—
293C2×Dic13C2×C4⋊C418yes—
294C2×Dic13C4×Q814yes—
295C22×C4⋊C4—131no—
296C22×C4⋊C4—131no—
297C22×C4⋊C4—131no—
298C22×C4⋊C4—132no—
299C22×C4⋊C4—131no—
300C22×C4⋊C4—132no—
301C22×C4⋊C4C2×D1311yescharacteristic
302C22×C4⋊C4C2×D1311yescharacteristic
303C22×C4⋊C4C2×D1312yes—
304C22×C42—131no—
305C22×C42—131no—
306C22×C42—132no—
307C22×C42C2×D1311yescharacteristic
308#389—24no—
309#389—138no—
310#389—264no—
311C4×C4⋊C4—264no—
312C4×C4⋊C4—264no—
313C2×#95—132no—
314C2×#95—131no—
315C2×#95—132no—
316C2×#95—132no—
317C2×#95—131no—
318C2×#95—132no—
319C2×#95—132no—
320C2×#95—132no—
321C2×#95—132no—
322C2×#95C2×D1312yes—
323C22×C13C22×C4⋊C411yescharacteristic
324C22×C13C2×C4×D411yescharacteristic
325C22×C13C2×C4×Q811yescharacteristic
326C22×C13C2×C4×Q811yescharacteristic
327C22×C13C4×#4111yescharacteristic
328C22×C13#51811yescharacteristic
329C22×C13#52011yescharacteristic
330C22×C13C2×#12111yescharacteristic
331C22×C13C2×C22⋊Q811yescharacteristic
332C22×C13C2×C22⋊Q811yescharacteristic
333C22×C13#52511yescharacteristic
334C22×C13C2×#12511yescharacteristic
335C22×C13#52911yescharacteristic
336C22×C13C2×C4⋊Q811yescharacteristic
337C22×C13#53311yescharacteristic
338C22×C13#53511yescharacteristic
339C22×C13#53711yescharacteristic
340C22×C13#54011yescharacteristic
341C22×C13#54211yescharacteristic
342C22×C13#54611yescharacteristic
343C22×C13#54611yescharacteristic
344C22×C13D4×Q811yescharacteristic
345C22×C13#55011yescharacteristic
346C22×C13#55211yescharacteristic
347C22×C13#55311yescharacteristic
348C22×C13#55411yescharacteristic
349C22×C13#55411yescharacteristic
350C22×C13#55411yescharacteristic
351C22×C13#55411yescharacteristic
352C22×C13#55411yescharacteristic
353C22×C13#55511yescharacteristic
354C22×C13#55711yescharacteristic
355C22×C13#55711yescharacteristic
356C22×C13Q8211yescharacteristic
357C22×C13Q8211yescharacteristic
358C4×C13—24no—
359C4×C13—44no—
360C4×C13—42no—
361C4×C13—82no—
362C4×C13#38918yes—
363Dic13—28no—
364Dic13—24no—
365Dic13—42no—
366Dic13—42no—
367Dic13—42no—
368Dic13—44no—
369C23×C4—132no—
370C23×C4—131no—
371C23×C4—131no—
372C23×C4—131no—
373C23×C4—132no—
374C23×C4—131no—
375C23×C4C22×D1312yes—
376C23×C4C22×D1312yes—
377C23×C4C22×D1311yescharacteristic
378C23×C4C22×D1311yescharacteristic
379C23×C4C22×D1311yescharacteristic
380C2×C4⋊C4—22no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—24no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—42no—
387C2×C4⋊C4—42no—
388C2×C4⋊C4—134no—
389C2×C4⋊C4—134no—
390C2×C4⋊C4—134no—
391C2×C4⋊C4—134no—
392C2×C4⋊C4—134no—
393C2×C4⋊C4—138no—
394C2×C4⋊C4—262no—
395C2×C4⋊C4—262no—
396C2×C4⋊C4—262no—
397C2×C4⋊C4—262no—
398C2×C4⋊C4—262no—
399C2×C4⋊C4—262no—
400C2×C4⋊C4—262no—
401C2×C4⋊C4—264no—
402C2×C4⋊C4—264no—
403C2×C4⋊C4—522no—
404C2×C4⋊C4—522no—
405C2×C4⋊C4—522no—
406C2×C4⋊C4C4×D1314yes—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—134no—
410C2×C42—262no—
411C2×C42—262no—
412C2×C42—264no—
413C2×C42—262no—
414C2×C42—262no—
415C2×C42—264no—
416C2×C42—262no—
417C2×C42—522no—
418C2×C42C22⋊D1314yes—
419#95—24no—
420#95—138no—
421#95—264no—
422#95—264no—
423#95—264no—
424#95—262no—
425#95—262no—
426#95—522no—
427#95—522no—
428#95—522no—
429C2×C13C2×#38911yescharacteristic
430C2×C13C4×C22⋊Q811yescharacteristic
431C2×C13#232411yescharacteristic
432C2×C13#234911yescharacteristic
433C2×C13Q8×C4⋊C411yescharacteristic
434C2×C13#236911yescharacteristic
435C2×C13#237011yescharacteristic
436C2×C13#241411yescharacteristic
437C2×C13#241711yescharacteristic
438C2×C13#245111yescharacteristic
439C2×C13#245411yescharacteristic
440C2×C13#250711yescharacteristic
441C2×C13#250811yescharacteristic
442C2×C13#256711yescharacteristic
443C2×C13#258411yescharacteristic
444C24C23×D1311yescharacteristic
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—132no—
469C22×C4—134no—
470C22×C4—134no—
471C22×C4—134no—
472C22×C4—132no—
473C22×C4—132no—
474C22×C4—132no—
475C22×C4—134no—
476C22×C4—132no—
477C22×C4—132no—
478C22×C4—261no—
479C22×C4—262no—
480C22×C4—262no—
481C22×C4—261no—
482C22×C4—261no—
483C22×C4—262no—
484C22×C4—262no—
485C22×C4—261no—
486C22×C4—261no—
487C22×C4—262no—
488C22×C4—261no—
489C22×C4—262no—
490C22×C4—261no—
491C22×C4—261no—
492C22×C4—261no—
493C22×C4—262no—
494C22×C4—261no—
495C22×C4—261no—
496C22×C4—261no—
497C22×C4—261no—
498C22×C4—262no—
499C22×C4—261no—
500C22×C4—262no—
501C22×C4—261no—
502C22×C4—261no—
503C22×C4—262no—
504C22×C4—261no—
505C22×C4—261no—
506C22×C4—261no—
507C22×C4—261no—
508C22×C4—261no—
509C22×C4—261no—
510C22×C4C2×C4×D1314yes—
511C22×C4C2×C4×D1312yes—
512C22×C4#612712yes—
513C22×C4D4×D1312yes—
514C22×C4#612912yes—
515C22×C4Q8×D1312yes—
516C22×C4Q8×D1312yes—
517C22×C4Q8×D1312yes—
518C22×C4#613112yes—
519C22×C4C2×C22⋊D1312yes—
520C22×C4C2×C22⋊D1312yes—
521C22×C4C2×C22⋊D1312yes—
522C4⋊C4—28no—
523C4⋊C4—48no—
524C4⋊C4—44no—
525C4⋊C4—1316no—
526C4⋊C4—268no—
527C4⋊C4—268no—
528C4⋊C4—268no—
529C4⋊C4—528no—
530C4⋊C4—528no—
531C42—28no—
532C42—268no—
533C42—528no—
534C42—524no—
535C13#1404511yescharacteristic, complemented, Sylow
536C23C22×C4×D1311yescharacteristic
537C23C2×#612711yescharacteristic
538C23C2×D4×D1311yescharacteristic
539C23C2×#612911yescharacteristic
540C23#8825111yescharacteristic
541C23#8825111yescharacteristic
542C23C2×Q8×D1311yescharacteristic
543C23C2×Q8×D1311yescharacteristic
544C23C2×Q8×D1311yescharacteristic
545C23C2×#613111yescharacteristic
546C23#41×D1311yescharacteristic
547C23#41×D1311yescharacteristic
548C23#8825611yescharacteristic
549C23#8825711yescharacteristic
550C23C22×C22⋊D1311yescharacteristic
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—24no—
558C2×C4—24no—
559C2×C4—24no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—42no—
564C2×C4—42no—
565C2×C4—42no—
566C2×C4—42no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—138no—
579C2×C4—134no—
580C2×C4—264no—
581C2×C4—262no—
582C2×C4—264no—
583C2×C4—262no—
584C2×C4—262no—
585C2×C4—264no—
586C2×C4—262no—
587C2×C4—262no—
588C2×C4—262no—
589C2×C4—264no—
590C2×C4—264no—
591C2×C4—264no—
592C2×C4—264no—
593C2×C4—264no—
594C2×C4—262no—
595C2×C4—262no—
596C2×C4—262no—
597C2×C4—262no—
598C2×C4—262no—
599C2×C4—262no—
600C2×C4—262no—
601C2×C4—262no—
602C2×C4—262no—
603C2×C4—264no—
604C2×C4—521no—
605C2×C4—521no—
606C2×C4—521no—
607C2×C4—521no—
608C2×C4—521no—
609C2×C4—521no—
610C2×C4—522no—
611C2×C4—521no—
612C2×C4—521no—
613C2×C4—522no—
614C2×C4—521no—
615C2×C4—522no—
616C2×C4—521no—
617C2×C4—522no—
618C2×C4—521no—
619C2×C4—521no—
620C2×C4#8814114yes—
621C2×C4#8814314yes—
622C2×C4C4⋊C4×D1314yes—
623C2×C4#8815014yes—
624C2×C4C4×C22⋊D1314yes—
625C2×C4#8819314yes—
626C2×C4#8819814yes—
627C2×C4#8820014yes—
628C22C2×#8814111yescharacteristic
629C22C2×#8814311yescharacteristic
630C22C2×C4⋊C4×D1311yescharacteristic
631C22C2×#8815011yescharacteristic
632C22#1171925011yescharacteristic
633C22#1171925111yescharacteristic
634C22#1171926611yescharacteristic
635C22#1171926711yescharacteristic
636C22C4×Q8×D1311yescharacteristic
637C22C4×#613111yescharacteristic
638C22#1171928311yescharacteristic
639C22#1171928511yescharacteristic
640C22#1171930411yescharacteristic
641C22#1171931711yescharacteristic
642C22#1171931911yescharacteristic
643C22#1171932111yescharacteristic
644C22#1171933511yescharacteristic
645C22#1171933711yescharacteristic
646C22#1171934011yescharacteristic
647C22#1171934711yescharacteristic
648C22#1171939011yescharacteristic
649C22#1171939011yescharacteristic
650C22#1171939511yescharacteristic
651C22#1171939511yescharacteristic
652C22#1171942711yescharacteristic
653C22#1171942711yescharacteristic
654C22#1171943511yescharacteristic
655C22#1171943511yescharacteristic
656C22C2×C4×C22⋊D1311yescharacteristic
657C22C2×#8819311yescharacteristic
658C22#1171951011yescharacteristic
659C22C2×#8819811yescharacteristic
660C22C2×#8820011yescharacteristic
661C22#1171953311yescharacteristic
662C22#1171953811yescharacteristic
663C4—24no—
664C4—42no—
665C4—44no—
666C4—82no—
667C4—268no—
668C4—264no—
669C4—522no—
670C4—522no—
671C4—522no—
672C4—524no—
673C4#1171863318yes—
674C2C2×#1171863311yescharacteristic
675C2C4×#8820011yescharacteristic
676C2#1311752311yescharacteristic
677C2#1311774511yescharacteristic
678C2#1311775011yescharacteristic
679C2#1311792211yescharacteristic
680C2#1311793711yescharacteristic
681C2#1311825511yescharacteristic
682C2#1311828811yescharacteristic
683C2#1311867611yescharacteristic
684C2#1311870911yescharacteristic
685C2#1311936411yescharacteristic
686C2#1311937511yescharacteristic
687C2#1312004511yescharacteristic
688C2#1312022511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC2×C13×#389C2
socle, prime radical, cosocleC24×C13C24
hypercenterC2×#389D13
hypocenterC13#14045
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
37. #11718634C4semidirect
184. C4⋊Dic13C4⋊C4semidirect
535. C13#14045semidirect

Maximal subgroups

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

subgroupindex
C2×#117186342
C2×C4×#61012
C2×C4×C4⋊Dic132
#131130992
#131130862
#131130712
#131130652
#131130642
C2×C13×#3892
#1404513