Finite Group Databasebeta

← #15792090

Subgroups — #15792090

Order 3328.

2070 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718882C211yesmaximal, characteristic
2C2×#11718881C211yesmaximal, characteristic
3#13113089C212yesmaximal, complemented
4#13113085C212yesmaximal, complemented
5#13113085C212yesmaximal, complemented
6#13113068C212yesmaximal, complemented
7#13113059C212yesmaximal, complemented
8#13113058C212yesmaximal, complemented
9C22×C13×#123C211yesmaximal, characteristic
10C23×D4×C13C2211yescharacteristic
11C24×C4×C13C2211yescharacteristic
12C24×Dic13C2211yescharacteristic
13C2×C13×#123—24no—
14C2×C13×#123—24no—
15C2×C13×#123C418yescomplemented
16C22×C13×C4⋊C4C2212yes—
17C22×C13×C22⋊C4C2212yes—
18C22×C13×C22⋊C4C2211yescharacteristic
19C22×C22⋊Dic13C2212yes—
20C22×C22⋊Dic13C2212yes—
21C22×C22⋊Dic13C2212yes—
22C22×C22⋊Dic13C2211yescharacteristic
23C22×C4⋊Dic13C2211yescharacteristic
24C22×C4×Dic13C2211yescharacteristic
25#11718882—24no—
26#11718881—24no—
27C2×#88071C2212yes—
28C2×#88071C2212yes—
29C2×#88071C2212yes—
30C2×#88071C2212yes—
31C2×#88071C2212yes—
32C2×#88071C2212yes—
33C2×#88071C2212yes—
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36C25×C13C2311yescharacteristic
37C25×C13C2311yescharacteristic
38C22×D4×C13—41no—
39C22×D4×C13—41no—
40C22×D4×C13—41no—
41C22×D4×C13—41no—
42C22×D4×C13C2×C414yes—
43C22×D4×C13D414yes—
44C22×D4×C13D414yes—
45C23×C4×C13—22no—
46C23×C4×C13—22no—
47C23×C4×C13—41no—
48C23×C4×C13—41no—
49C23×C4×C13—41no—
50C23×C4×C13—41no—
51C23×C4×C13C2×C414yescomplemented
52C23×C4×C13C2312yes—
53C23×C4×C13C2312yes—
54C23×C4×C13C2311yescharacteristic
55C23×Dic13—22no—
56C23×Dic13—24no—
57C23×Dic13—41no—
58C23×Dic13—41no—
59C23×Dic13—42no—
60C23×Dic13C2312yes—
61C23×Dic13C2312yes—
62C23×Dic13C2312yes—
63C23×Dic13C2312yes—
64C13×#123—232no—
65C2×C13×C4⋊C4—24no—
66C2×C13×C4⋊C4—24no—
67C2×C13×C4⋊C4C2×C418yescomplemented
68C2×C13×C22⋊C4—24no—
69C2×C13×C22⋊C4—24no—
70C2×C13×C22⋊C4—22no—
71C2×C13×C22⋊C4—22no—
72C2×C13×C22⋊C4C2×C418yes—
73C2×C13×C22⋊C4C2×C414yescomplemented
74C2×C22⋊Dic13—24no—
75C2×C22⋊Dic13—22no—
76C2×C22⋊Dic13—24no—
77C2×C22⋊Dic13—24no—
78C2×C22⋊Dic13—24no—
79C2×C22⋊Dic13—24no—
80C2×C22⋊Dic13—24no—
81C2×C22⋊Dic13—42no—
82C2×C22⋊Dic13—42no—
83C2×C22⋊Dic13—42no—
84C2×C22⋊Dic13—41no—
85C2×C22⋊Dic13—41no—
86C2×C4⋊Dic13—22no—
87C2×C4⋊Dic13—41no—
88C2×C4⋊Dic13—41no—
89C2×C4×Dic13—22no—
90C2×C4×Dic13—41no—
91C2×C4×Dic13—41no—
92#88071—24no—
93#88071—24no—
94#88071—24no—
95#88071—42no—
96#88071—42no—
97#88071—42no—
98#88071—42no—
99#88071—42no—
100#88071—42no—
101#14505—131nomaximal, Sylow
102C24×C13—22no—
103C24×C13—22no—
104C24×C13—22no—
105C24×C13—22no—
106C24×C13—22no—
107C24×C13—22no—
108C24×C13—21no—
109C24×C13—21no—
110C24×C13—21no—
111C24×C13—21no—
112C24×C13—21no—
113C24×C13—21no—
114C24×C13—21no—
115C24×C13—21no—
116C24×C13—22no—
117C24×C13—22no—
118C24×C13C22×C412yes—
119C24×C13C22×C412yes—
120C24×C13C2×D412yes—
121C24×C13C2×D412yes—
122C24×C13C2×D412yes—
123C24×C13C2×D412yes—
124C24×C13C2411yescharacteristic
125C2×D4×C13—44no—
126C2×D4×C13—44no—
127C2×D4×C13—44no—
128C2×D4×C13—44no—
129C2×D4×C13—44no—
130C2×D4×C13—44no—
131C2×D4×C13C22⋊C4116yes—
132C22×C4×C13—21no—
133C22×C4×C13—21no—
134C22×C4×C13—21no—
135C22×C4×C13—21no—
136C22×C4×C13—28no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—22no—
140C22×C4×C13—22no—
141C22×C4×C13—22no—
142C22×C4×C13—22no—
143C22×C4×C13—22no—
144C22×C4×C13—22no—
145C22×C4×C13—22no—
146C22×C4×C13—22no—
147C22×C4×C13—22no—
148C22×C4×C13—22no—
149C22×C4×C13—44no—
150C22×C4×C13—44no—
151C22×C4×C13—44no—
152C22×C4×C13—44no—
153C22×C4×C13—44no—
154C22×C4×C13—44no—
155C22×C4×C13C22×C414yes—
156C22×C4×C13C22×C414yes—
157C22×C4×C13C22×C412yes—
158C22×C4×C13C2×D412yes—
159C22×C4×C13C2×D412yes—
160C22×Dic13—22no—
161C22×Dic13—22no—
162C22×Dic13—22no—
163C22×Dic13—22no—
164C22×Dic13—22no—
165C22×Dic13—22no—
166C22×Dic13—22no—
167C22×Dic13—22no—
168C22×Dic13—22no—
169C22×Dic13—22no—
170C22×Dic13—22no—
171C22×Dic13—22no—
172C22×Dic13—22no—
173C22×Dic13—22no—
174C22×Dic13—22no—
175C22×Dic13—22no—
176C22×Dic13—22no—
177C22×Dic13—22no—
178C22×Dic13—22no—
179C22×Dic13—22no—
180C22×Dic13—22no—
181C22×Dic13—22no—
182C22×Dic13—22no—
183C22×Dic13—22no—
184C22×Dic13—22no—
185C22×Dic13—22no—
186C22×Dic13—44no—
187C22×Dic13—48no—
188C22×Dic13—48no—
189C22×Dic13—44no—
190C22×Dic13—44no—
191C22×Dic13#4114yes—
192C22×Dic13#4114yes—
193C13×C4⋊C4—216no—
194C13×C22⋊C4—216no—
195C13×C22⋊C4—28no—
196C22⋊Dic13—48no—
197C22⋊Dic13—48no—
198C22⋊Dic13—48no—
199C22⋊Dic13—44no—
200C4⋊Dic13—44no—
201C4×Dic13—44no—
202C22×#123D1311yescharacteristic
203C2×#390—131no—
204C2×#386—131no—
205#1441—132no—
206#1440—132no—
207#1440—132no—
208#1436—132no—
209C22⋊#95—132no—
210C22⋊#95—132no—
211C23×C13—24no—
212C23×C13—24no—
213C23×C13—22no—
214C23×C13—22no—
215C23×C13—22no—
216C23×C13—22no—
217C23×C13—24no—
218C23×C13—24no—
219C23×C13—22no—
220C23×C13—22no—
221C23×C13—22no—
222C23×C13—22no—
223C23×C13—22no—
224C23×C13—22no—
225C23×C13—22no—
226C23×C13—22no—
227C23×C13—24no—
228C23×C13—24no—
229C23×C13—24no—
230C23×C13—24no—
231C23×C13—24no—
232C23×C13—24no—
233C23×C13—24no—
234C23×C13—24no—
235C23×C13—42no—
236C23×C13—42no—
237C23×C13—42no—
238C23×C13—42no—
239C23×C13—42no—
240C23×C13—42no—
241C23×C13—42no—
242C23×C13—42no—
243C23×C13—41no—
244C23×C13—41no—
245C23×C13—42no—
246C23×C13—42no—
247C23×C13—41no—
248C23×C13—41no—
249C23×C13—41no—
250C23×C13—41no—
251C23×C13—42no—
252C23×C13—42no—
253C23×C13—41no—
254C23×C13—41no—
255C23×C13C2×C22⋊C414yes—
256C23×C13C2×C22⋊C414yes—
257C23×C13C23×C411yescharacteristic
258C23×C13C22×D411yescharacteristic
259C23×C13C22×D411yescharacteristic
260C23×C13C2×#4112yes—
261C23×C13C2×#4112yes—
262C23×C13H(5,𝔽2)11yescharacteristic
263C23×C13H(5,𝔽2)11yescharacteristic
264C23×C13H(5,𝔽2)11yescharacteristic
265C23×C13H(5,𝔽2)11yescharacteristic
266C23×C13H(5,𝔽2)12yes—
267C23×C132−1+412yes—
268D4×C13—416no—
269C2×C4×C13—22no—
270C2×C4×C13—22no—
271C2×C4×C13—22no—
272C2×C4×C13—22no—
273C2×C4×C13—22no—
274C2×C4×C13—22no—
275C2×C4×C13—24no—
276C2×C4×C13—24no—
277C2×C4×C13—24no—
278C2×C4×C13—24no—
279C2×C4×C13—24no—
280C2×C4×C13—24no—
281C2×C4×C13—416no—
282C2×C4×C13—42no—
283C2×C4×C13—42no—
284C2×C4×C13—42no—
285C2×C4×C13—42no—
286C2×C4×C13—42no—
287C2×C4×C13—42no—
288C2×C4×C13—42no—
289C2×C4×C13—42no—
290C2×C4×C13C2×C22⋊C414yes—
291C2×Dic13—24no—
292C2×Dic13—24no—
293C2×Dic13—24no—
294C2×Dic13—24no—
295C2×Dic13—24no—
296C2×Dic13—24no—
297C2×Dic13—416no—
298C2×Dic13—42no—
299C2×Dic13—42no—
300C2×Dic13—42no—
301C2×Dic13—42no—
302C2×Dic13—42no—
303C2×Dic13—42no—
304C2×Dic13—42no—
305C2×Dic13—42no—
306C2×Dic13—42no—
307C2×Dic13—42no—
308C2×Dic13—42no—
309C2×Dic13—42no—
310C2×Dic13—42no—
311C2×Dic13—42no—
312C2×Dic13—42no—
313C2×Dic13—42no—
314C2×Dic13—42no—
315C2×Dic13—42no—
316C2×Dic13—42no—
317C2×Dic13—42no—
318C2×Dic13—42no—
319C2×Dic13—42no—
320C23×D4C2×D1311yescharacteristic
321C24×C4—131no—
322C24×C4C2×D1311yescharacteristic
323C2×#123—24no—
324C2×#123—24no—
325C2×#123Dic1318yescomplemented
326C22×C4⋊C4—131no—
327C22×C4⋊C4C2×D1312yes—
328C22×C22⋊C4—132no—
329C22×C22⋊C4—132no—
330C22×C22⋊C4—132no—
331C22×C22⋊C4—131no—
332C22×C22⋊C4C2×D1312yes—
333C22×C22⋊C4C2×D1311yescharacteristic
334C22×C42—131no—
335#390—264no—
336#386—264no—
337C2×#95—132no—
338C2×#95—132no—
339C2×#95—132no—
340C2×#95—132no—
341C2×#95—132no—
342C2×#95—132no—
343C2×#95—132no—
344C2×#95—132no—
345C2×#95—132no—
346C22×C13—24no—
347C22×C13—24no—
348C22×C13—28no—
349C22×C13—28no—
350C22×C13—44no—
351C22×C13—44no—
352C22×C13—42no—
353C22×C13—42no—
354C22×C13—42no—
355C22×C13—42no—
356C22×C13—42no—
357C22×C13—42no—
358C22×C13—44no—
359C22×C13—44no—
360C22×C13—44no—
361C22×C13—44no—
362C22×C13—42no—
363C22×C13—42no—
364C22×C13—42no—
365C22×C13—42no—
366C22×C13—42no—
367C22×C13—42no—
368C22×C13C22×C22⋊C411yescharacteristic
369C22×C13C4×#4112yes—
370C22×C13#51811yescharacteristic
371C22×C13#51811yescharacteristic
372C22×C13#52012yes—
373C22×C13#53411yescharacteristic
374C22×C13#53411yescharacteristic
375C22×C13#53411yescharacteristic
376C22×C13#53411yescharacteristic
377C22×C13#53812yes—
378C22×C13#53912yes—
379C22×C13#54012yes—
380C22×C13#54212yes—
381C22×C13#54612yes—
382C22×C13#54612yes—
383C22×C13#54712yes—
384C22×C13#54712yes—
385C22×C13#55111yescharacteristic
386C22×C13#55312yes—
387C22×C13#55911yescharacteristic
388C22×C13#56011yescharacteristic
389C22×C13#56212yes—
390C22×C13#56311yescharacteristic
391C4×C13—24no—
392C4×C13—44no—
393C4×C13—44no—
394Dic13—44no—
395Dic13—44no—
396Dic13—82no—
397Dic13—82no—
398C25C22×D1311yescharacteristic
399C25C22×D1311yescharacteristic
400C22×D4—41no—
401C22×D4—41no—
402C22×D4—41no—
403C22×D4—41no—
404C22×D4C2×Dic1314yes—
405C22×D4C22⋊D1314yes—
406C22×D4C22⋊D1314yes—
407C23×C4—22no—
408C23×C4—22no—
409C23×C4—41no—
410C23×C4—41no—
411C23×C4—41no—
412C23×C4—41no—
413C23×C4—132no—
414C23×C4—132no—
415C23×C4—132no—
416C23×C4—132no—
417C23×C4—264no—
418C23×C4—262no—
419C23×C4—521no—
420C23×C4—521no—
421C23×C4—522no—
422C23×C4C2×Dic1314yescomplemented
423C23×C4C22×D1312yes—
424C23×C4C22×D1312yes—
425C23×C4C22×D1311yescharacteristic
426#123—232no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—24no—
429C2×C4⋊C4—262no—
430C2×C4⋊C4—521no—
431C2×C4⋊C4—521no—
432C2×C4⋊C4C2×Dic1318yescomplemented
433C2×C22⋊C4—24no—
434C2×C22⋊C4—24no—
435C2×C22⋊C4—22no—
436C2×C22⋊C4—22no—
437C2×C22⋊C4—264no—
438C2×C22⋊C4—264no—
439C2×C22⋊C4—264no—
440C2×C22⋊C4—264no—
441C2×C22⋊C4—262no—
442C2×C22⋊C4—264no—
443C2×C22⋊C4—264no—
444C2×C22⋊C4—522no—
445C2×C22⋊C4—522no—
446C2×C22⋊C4—522no—
447C2×C22⋊C4—521no—
448C2×C22⋊C4—521no—
449C2×C22⋊C4C2×Dic1318yes—
450C2×C22⋊C4C2×Dic1314yescomplemented
451C2×C42—262no—
452C2×C42—521no—
453C2×C42—521no—
454#95—264no—
455#95—264no—
456#95—264no—
457#95—522no—
458#95—522no—
459#95—522no—
460#95—522no—
461#95—522no—
462#95—522no—
463C2×C13—44no—
464C2×C13—44no—
465C2×C13#230811yescharacteristic
466C2×C13#233512yes—
467C2×C13#233912yes—
468C2×C13#237411yescharacteristic
469C2×C13#237611yescharacteristic
470C2×C13#269711yescharacteristic
471C2×C13#270112yes—
472C2×C13#270812yes—
473C2×C13#270911yescharacteristic
474C2×C13#271711yescharacteristic
475C2×C13#272411yescharacteristic
476C24—21no—
477C24—21no—
478C24—21no—
479C24—21no—
480C24—21no—
481C24—21no—
482C24—21no—
483C24—21no—
484C24—22no—
485C24—22no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24C22×Dic1312yes—
493C24C22×Dic1312yes—
494C24C2×C22⋊D1312yes—
495C24C2×C22⋊D1312yes—
496C24C2×C22⋊D1312yes—
497C24C2×C22⋊D1312yes—
498C24C23×D1311yescharacteristic
499C2×D4—44no—
500C2×D4—44no—
501C2×D4—44no—
502C2×D4—44no—
503C2×D4—44no—
504C2×D4—44no—
505C2×D4C22⋊Dic13116yes—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—28no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—134no—
530C22×C4—134no—
531C22×C4—262no—
532C22×C4—262no—
533C22×C4—262no—
534C22×C4—262no—
535C22×C4—262no—
536C22×C4—262no—
537C22×C4—262no—
538C22×C4—262no—
539C22×C4—262no—
540C22×C4—262no—
541C22×C4—262no—
542C22×C4—262no—
543C22×C4—262no—
544C22×C4—262no—
545C22×C4—262no—
546C22×C4—262no—
547C22×C4—262no—
548C22×C4—262no—
549C22×C4—262no—
550C22×C4—262no—
551C22×C4—262no—
552C22×C4—262no—
553C22×C4—262no—
554C22×C4—262no—
555C22×C4—262no—
556C22×C4—262no—
557C22×C4—524no—
558C22×C4—528no—
559C22×C4—528no—
560C22×C4—524no—
561C22×C4—524no—
562C22×C4C22×Dic1314yes—
563C22×C4C22×Dic1314yes—
564C22×C4C22×Dic1312yes—
565C22×C4C2×C22⋊D1312yes—
566C22×C4C2×C22⋊D1312yes—
567C4⋊C4—216no—
568C4⋊C4—524no—
569C22⋊C4—216no—
570C22⋊C4—28no—
571C22⋊C4—528no—
572C22⋊C4—528no—
573C22⋊C4—528no—
574C22⋊C4—524no—
575C42—524no—
576C13#1450511yescharacteristic, complemented, Sylow
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—24no—
594C23—24no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—24no—
599C23—24no—
600C23—24no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—42no—
605C23—41no—
606C23—41no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—42no—
620C23—42no—
621C23C2×C22⋊Dic1314yes—
622C23C2×C22⋊Dic1314yes—
623C23#8825111yescharacteristic
624C23#8825111yescharacteristic
625C23#8825111yescharacteristic
626C23#8825111yescharacteristic
627C23#41×D1312yes—
628C23#41×D1312yes—
629C23#8825612yes—
630C23#8825712yes—
631C23C23×Dic1311yescharacteristic
632C23C22×C22⋊D1311yescharacteristic
633C23C22×C22⋊D1311yescharacteristic
634D4—416no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—416no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—264no—
657C2×C4—264no—
658C2×C4—264no—
659C2×C4—264no—
660C2×C4—264no—
661C2×C4—264no—
662C2×C4—5216no—
663C2×C4—522no—
664C2×C4—522no—
665C2×C4—522no—
666C2×C4—522no—
667C2×C4—522no—
668C2×C4—522no—
669C2×C4—522no—
670C2×C4—522no—
671C2×C4—522no—
672C2×C4—522no—
673C2×C4—522no—
674C2×C4—522no—
675C2×C4—522no—
676C2×C4—522no—
677C2×C4—522no—
678C2×C4—522no—
679C2×C4—522no—
680C2×C4—522no—
681C2×C4—522no—
682C2×C4—522no—
683C2×C4—522no—
684C2×C4—522no—
685C2×C4C2×C22⋊Dic1314yes—
686C22—28no—
687C22—28no—
688C22—24no—
689C22—24no—
690C22—44no—
691C22—44no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—44no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—42no—
707C22—42no—
708C22#1171935611yescharacteristic
709C22#1171936212yes—
710C22#1171936411yescharacteristic
711C22#1171936512yes—
712C22#1171936612yes—
713C22#1171936712yes—
714C22#1171936812yes—
715C22#1171936911yescharacteristic
716C22#1171937111yescharacteristic
717C22#1171937212yes—
718C22#1171950311yescharacteristic
719C22#1171950311yescharacteristic
720C22#1171950911yescharacteristic
721C22#1171950911yescharacteristic
722C22#1171950911yescharacteristic
723C22#1171950911yescharacteristic
724C22#1171952912yes—
725C22#1171952912yes—
726C22#41×Dic1312yes—
727C22#1171953212yes—
728C22#1171953412yes—
729C22#1171953412yes—
730C22C22×C22⋊Dic1311yescharacteristic
731C4—24no—
732C4—44no—
733C4—44no—
734C4—524no—
735C4—524no—
736C4—1042no—
737C4—1042no—
738C2—44no—
739C2—44no—
740C2#1311741411yescharacteristic
741C2#1311763012yes—
742C2#1311766612yes—
743C2#1311797211yescharacteristic
744C2#1311798411yescharacteristic
745C2#1312139511yescharacteristic
746C2#1312144312yes—
747C2#1312155012yes—
748C2#1312156511yescharacteristic
749C2#1312167311yescharacteristic
750C2#1312176411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC22×C13×#123C2
socle, cosocleC24×C13C24
prime radicalC23×D4×C13C22
hypercenterC22×#123D13
hypocenterC13#14505
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C22×#123

Complements

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

NH ≅ G/Ntype
3. #13113089C2semidirect
4. #13113085C2semidirect
5. #13113085C2semidirect
6. #13113068C2semidirect
7. #13113059C2semidirect
8. #13113058C2semidirect
15. C2×C13×#123C4semidirect
51. C23×C4×C13C2×C4semidirect
67. C2×C13×C4⋊C4C2×C4semidirect
73. C2×C13×C22⋊C4C2×C4semidirect
325. C2×#123Dic13semidirect
422. C23×C4C2×Dic13semidirect
432. C2×C4⋊C4C2×Dic13semidirect
450. C2×C22⋊C4C2×Dic13semidirect
576. C13#14505semidirect

Maximal subgroups

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

subgroupindex
C2×#117188822
C2×#117188812
#131130892
#131130852
#131130682
#131130592
#131130582
C22×C13×#1232
#1450513