Finite Group Databasebeta

← #16791590

Subgroups — #16791590

Order 3328.

1406 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719082C212yesmaximal
2#13130016C212yesmaximal
3#13130015C212yesmaximal
4#13130014C211yesmaximal, characteristic
5#13130012C211yesmaximal, characteristic
6#13130012C211yesmaximal, characteristic
7#13130012C211yesmaximal, characteristic
8#13130011C212yesmaximal
9C4×(C2×#261)⋊C4C211yesmaximal, characteristic
10C4×(C2×#261)⋊C4C211yesmaximal, characteristic
11C4×C4⋊C4×D13C211yesmaximal, characteristic
12C22×C4⋊#261C2212yes—
13C22×C4×#261C2212yes—
14C22×C4×#261C2212yes—
15C2×C4⋊C4×D13C2211yescharacteristic
16C2×C4⋊C4×D13C2211yescharacteristic
17C2×C42×D13C2211yescharacteristic
18C2×C42×D13C2211yescharacteristic
19C2×C42×D13C2211yescharacteristic
20C2×(C2×#261)⋊C4C2211yescharacteristic
21C2×(C2×#261)⋊C4C2211yescharacteristic
22C2×(C2×#261)⋊C4C2211yescharacteristic
23C2×(C2×#261)⋊C4C2211yescharacteristic
24C2×(C2×#261)⋊C4C2212yes—
25C2×(C2×#261)⋊C4C2212yes—
26C2×(C2×#261)⋊C4C2212yes—
27C2×(C2×#261)⋊C4C2212yes—
28C2×(C2×#261)⋊C4C2212yes—
29C2×(C2×#261)⋊C4C2212yes—
30C2×(C2×#261)⋊C4C2212yes—
31C2×(C2×#261)⋊C4C2212yes—
32C2×(C2×#261)⋊C4C2212yes—
33#11719082C4116yescomplemented
34C4×C13×C4⋊C4C411yescharacteristic, complemented
35C4⋊C4×Dic13C411yescharacteristic, complemented
36C4⋊C4×Dic13C411yescharacteristic, complemented
37C4×C4⋊Dic13C411yescharacteristic, complemented
38C4×#6101C411yescharacteristic, complemented
39C4×#6101C411yescharacteristic, complemented
40D13×#95C2211yescharacteristic
41D13×#95C2211yescharacteristic
42#11718310C411yescharacteristic, complemented
43#11718310C411yescharacteristic, complemented
44C23×#261C2312yes—
45C23×#261C2312yes—
46C23×#261C2312yes—
47C23×#261C2312yes—
48C22×C4×D13C2311yescharacteristic
49C22×C4×D13C2311yescharacteristic
50C22×C4×D13C2311yescharacteristic
51C22×C4×D13C2311yescharacteristic
52C22×C4×D13C2311yescharacteristic
53C22×C4×D13C2311yescharacteristic
54C22×C4×D13C2311yescharacteristic
55C2×C4⋊#261—42no—
56C2×C4⋊#261—42no—
57C2×C4⋊#261C2×C418yes—
58C2×C4×#261—24no—
59C2×C4×#261—42no—
60C2×C4×#261—42no—
61C2×C4×#261—42no—
62C2×C4×#261—42no—
63C2×C4×#261C2×C418yes—
64C2×C13×C4⋊C4C2×C411yescharacteristic
65C2×C13×C4⋊C4C2×C411yescharacteristic
66C2×C42×C13C2×C411yescharacteristic
67C2×C42×C13C2×C411yescharacteristic
68C2×C42×C13C2×C411yescharacteristic
69C2×C4⋊Dic13C2×C411yescharacteristic
70C2×C4⋊Dic13C2×C411yescharacteristic
71C2×#6101C2×C411yescharacteristic
72C2×#6101C2×C411yescharacteristic
73C2×#6101C2×C411yescharacteristic
74C2×#6101C2×C411yescharacteristic
75C2×C4×Dic13C2×C411yescharacteristic
76C2×C4×Dic13C2×C411yescharacteristic
77C2×C4×Dic13C2×C411yescharacteristic
78C2×C4×Dic13C2×C411yescharacteristic
79C2×C4×Dic13C2×C411yescharacteristic
80C2×C4×Dic13C2×C411yescharacteristic
81C2×C4×Dic13C2×C411yescharacteristic
82C2×C4×Dic13C2×C411yescharacteristic
83C2×C4×Dic13C2×C411yescharacteristic
84C4⋊C4×D13—24no—
85C4⋊C4×D13C2×C418yes—
86C42×D13—22no—
87C42×D13—22no—
88C42×D13—42no—
89C42×D13—42no—
90(C2×#261)⋊C4—22no—
91(C2×#261)⋊C4—22no—
92(C2×#261)⋊C4—22no—
93(C2×#261)⋊C4—22no—
94(C2×#261)⋊C4—24no—
95(C2×#261)⋊C4—42no—
96(C2×#261)⋊C4—42no—
97(C2×#261)⋊C4—42no—
98(C2×#261)⋊C4—42no—
99(C2×#261)⋊C4C2×C418yes—
100(C2×#261)⋊C4C2×C418yes—
101(C2×#261)⋊C4C2×C418yes—
102(C2×#261)⋊C4C2×C418yes—
103C13×#95C2×C411yescharacteristic
104C13×#95C2×C411yescharacteristic
105#88071C2×C411yescharacteristic
106#88071C2×C411yescharacteristic
107#88071C2×C411yescharacteristic
108#88071C2×C411yescharacteristic
109#88071C2×C411yescharacteristic
110#88071C2×C411yescharacteristic
111#13787—131nomaximal, Sylow
112C23×D13C2411yescharacteristic
113C22×#261—22no—
114C22×#261—22no—
115C22×#261—22no—
116C22×#261—22no—
117C22×#261—22no—
118C22×#261—22no—
119C22×#261—22no—
120C22×#261—22no—
121C22×#261—22no—
122C22×#261—22no—
123C22×#261—22no—
124C22×#261—22no—
125C22×#261—22no—
126C22×#261—22no—
127C22×#261—22no—
128C22×#261—22no—
129C22×#261—22no—
130C22×#261—22no—
131C22×#261—22no—
132C22×#261—22no—
133C22×#261—22no—
134C22×#261—22no—
135C22×#261—22no—
136C22×#261—22no—
137C22×#261C22×C414yes—
138C22×#261C22×C414yes—
139C22×#261C22×C414yes—
140C22×#261C22×C414yes—
141C22×C4×C13C22×C411yescharacteristic
142C22×C4×C13C22×C411yescharacteristic
143C22×C4×C13C22×C411yescharacteristic
144C22×C4×C13C22×C411yescharacteristic
145C22×C4×C13C22×C411yescharacteristic
146C22×C4×C13C22×C411yescharacteristic
147C22×C4×C13C22×C411yescharacteristic
148C22×Dic13C22×C411yescharacteristic
149C22×Dic13C22×C411yescharacteristic
150C22×Dic13C22×C411yescharacteristic
151C22×Dic13C22×C411yescharacteristic
152C22×Dic13C22×C411yescharacteristic
153C22×Dic13C22×C411yescharacteristic
154C22×Dic13C22×C411yescharacteristic
155C2×C4×D13—21no—
156C2×C4×D13—21no—
157C2×C4×D13—22no—
158C2×C4×D13—22no—
159C2×C4×D13—22no—
160C2×C4×D13—22no—
161C2×C4×D13—22no—
162C2×C4×D13—21no—
163C2×C4×D13—21no—
164C2×C4×D13—21no—
165C2×C4×D13—21no—
166C2×C4×D13—21no—
167C2×C4×D13—22no—
168C2×C4×D13—21no—
169C2×C4×D13—21no—
170C2×C4×D13—21no—
171C2×C4×D13—22no—
172C2×C4×D13—21no—
173C2×C4×D13—21no—
174C2×C4×D13—21no—
175C2×C4×D13—22no—
176C2×C4×D13—21no—
177C2×C4×D13—21no—
178C2×C4×D13—21no—
179C2×C4×D13C22×C414yes—
180C2×C4×D13C22×C414yes—
181C2×C4×D13C22×C414yes—
182C2×C4×D13#4112yes—
183C2×C4×D13#4112yes—
184C2×C4×D13#4114yes—
185C4⋊#261—48no—
186C4×#261—48no—
187C4×#261—48no—
188C13×C4⋊C4—22no—
189C13×C4⋊C4C4214yescomplemented
190C42×C13—22no—
191C42×C13—41no—
192C42×C13—41no—
193C4⋊Dic13—22no—
194C4⋊Dic13C4214yescomplemented
195#6101—22no—
196#6101—22no—
197#6101C4214yescomplemented
198#6101C4214yescomplemented
199C4×Dic13—22no—
200C4×Dic13—22no—
201C4×Dic13—22no—
202C4×Dic13—41no—
203C4×Dic13—41no—
204C4×Dic13—41no—
205C4×Dic13—41no—
206C4×Dic13—41no—
207C4×Dic13—41no—
208C2×#387—132no—
209C2×C4×C4⋊C4—131no—
210#1436—132no—
211#1436—132no—
212C4⋊#95—131no—
213#1434—132no—
214#1434—131no—
215#1434—131no—
216#1434—131no—
217C4×#95—131no—
218C4×#95—131no—
219C23×C13C23×C411yescharacteristic
220C22×D13C23×C412yes—
221C22×D13C2×#4112yes—
222C22×D13C2×#4111yescharacteristic
223C22×D13C2×#4111yescharacteristic
224C22×D13H(5,𝔽2)11yescharacteristic
225C22×D13H(5,𝔽2)12yes—
226C22×D13H(5,𝔽2)11yescharacteristic
227C22×D132−1+411yescharacteristic
228C22×D132−1+412yes—
229C22×D132−1+411yescharacteristic
230C2×#261—24no—
231C2×#261—24no—
232C2×#261—24no—
233C2×#261—24no—
234C2×#261—24no—
235C2×#261—24no—
236C2×#261—24no—
237C2×#261—24no—
238C2×#261—24no—
239C2×#261—24no—
240C2×#261—24no—
241C2×#261—24no—
242C2×#261—42no—
243C2×#261—42no—
244C2×#261—42no—
245C2×#261—42no—
246C2×#261—42no—
247C2×#261—42no—
248C2×#261—42no—
249C2×#261—42no—
250C2×#261—42no—
251C2×#261—42no—
252C2×#261—42no—
253C2×#261—42no—
254C2×#261—42no—
255C2×#261—42no—
256C2×#261—42no—
257C2×#261—42no—
258C2×C4×C13—21no—
259C2×C4×C13—21no—
260C2×C4×C13—21no—
261C2×C4×C13—21no—
262C2×C4×C13—21no—
263C2×C4×C13—21no—
264C2×C4×C13—21no—
265C2×C4×C13—21no—
266C2×C4×C13—21no—
267C2×C4×C13—21no—
268C2×C4×C13—21no—
269C2×C4×C13—21no—
270C2×C4×C13—21no—
271C2×C4×C13—21no—
272C2×C4×C13—21no—
273C2×C4×C13—21no—
274C2×C4×C13C2×C4212yes—
275C2×C4×C13C2×C4212yes—
276C2×C4×C13C2×C4212yes—
277C2×C4×C13#11712yes—
278C2×C4×C13#11712yes—
279C2×Dic13—21no—
280C2×Dic13—21no—
281C2×Dic13—21no—
282C2×Dic13—21no—
283C2×Dic13—21no—
284C2×Dic13—21no—
285C2×Dic13—21no—
286C2×Dic13—21no—
287C2×Dic13—21no—
288C2×Dic13—21no—
289C2×Dic13—21no—
290C2×Dic13—21no—
291C2×Dic13—21no—
292C2×Dic13—21no—
293C2×Dic13—21no—
294C2×Dic13—21no—
295C2×Dic13C2×C4212yes—
296C2×Dic13C2×C4212yes—
297C2×Dic13C2×C4212yes—
298C2×Dic13#11712yes—
299C2×Dic13#11712yes—
300C4×D13—24no—
301C4×D13—24no—
302C4×D13—24no—
303C4×D13—24no—
304C4×D13—24no—
305C4×D13—24no—
306C4×D13—24no—
307C4×D13—24no—
308C4×D13—24no—
309C4×D13—24no—
310C4×D13—42no—
311C4×D13—42no—
312C4×D13—41no—
313C4×D13—41no—
314C4×D13—41no—
315C4×D13—41no—
316C22×C4⋊C4—131no—
317C22×C4⋊C4—132no—
318C22×C4⋊C4—131no—
319C22×C42—132no—
320C22×C42—131no—
321C22×C42—131no—
322C22×C42—131no—
323C22×C42—132no—
324#387—1316no—
325C4×C4⋊C4—131no—
326C4×C4⋊C4—131no—
327C4×C4⋊C4—131no—
328C4×C4⋊C4—131no—
329C4×C4⋊C4—131no—
330C4×C4⋊C4—131no—
331C4×C4⋊C4—131no—
332C4×C4⋊C4#26111yescharacteristic, complemented
333C2×#95—132no—
334C2×#95—132no—
335C2×#95—132no—
336C2×#95—132no—
337C2×#95—131no—
338C2×#95—131no—
339C2×#95—131no—
340C2×#95—131no—
341C2×#95—131no—
342C2×#95—131no—
343C2×#95—132no—
344C2×#95—132no—
345C2×#95—132no—
346C2×#95—132no—
347C2×#95—132no—
348C22×C13C22×C4211yescharacteristic
349C22×C13C2×#11711yescharacteristic
350C22×C13C2×#11711yescharacteristic
351C22×C13#51811yescharacteristic
352C22×C13#51911yescharacteristic
353C22×C13#52011yescharacteristic
354C22×C13#52011yescharacteristic
355C2×D13C4×#4112yes—
356C2×D13C4×#4112yes—
357C2×D13#51812yes—
358C2×D13#51912yes—
359C2×D13#52012yes—
360C2×D13#52012yes—
361C2×D13#53812yes—
362C2×D13#53912yes—
363C2×D13#53912yes—
364C2×D13#53912yes—
365C2×D13#54011yescharacteristic
366C2×D13#54112yes—
367C2×D13#54111yescharacteristic
368C2×D13#54211yescharacteristic
369C2×D13#54212yes—
370C2×D13#54211yescharacteristic
371#261—44no—
372#261—44no—
373#261—44no—
374#261—44no—
375C4×C13—22no—
376C4×C13—22no—
377C4×C13—22no—
378C4×C13—22no—
379C4×C13—22no—
380C4×C13—41no—
381C4×C13—41no—
382Dic13—22no—
383Dic13—22no—
384Dic13—22no—
385Dic13—22no—
386Dic13—22no—
387Dic13—41no—
388Dic13—41no—
389C23×C4—131no—
390C23×C4—131no—
391C23×C4—131no—
392C23×C4—131no—
393C23×C4—131no—
394C23×C4—132no—
395C23×C4—132no—
396C23×C4—132no—
397C23×C4—132no—
398C23×C4—131no—
399C23×C4—131no—
400C2×C4⋊C4—131no—
401C2×C4⋊C4—131no—
402C2×C4⋊C4—131no—
403C2×C4⋊C4—138no—
404C2×C4⋊C4—131no—
405C2×C4⋊C4—131no—
406C2×C4⋊C4—131no—
407C2×C4⋊C4—138no—
408C2×C4⋊C4—264no—
409C2×C4⋊C4—522no—
410C2×C4⋊C4—522no—
411C2×C4⋊C4C2×#26111yescharacteristic
412C2×C4⋊C4C2×#26111yescharacteristic
413C2×C42—131no—
414C2×C42—131no—
415C2×C42—131no—
416C2×C42—138no—
417C2×C42—131no—
418C2×C42—131no—
419C2×C42—131no—
420C2×C42—131no—
421C2×C42—131no—
422C2×C42—131no—
423C2×C42—262no—
424C2×C42—262no—
425C2×C42—264no—
426C2×C42—522no—
427C2×C42—522no—
428C2×C42—522no—
429C2×C42—522no—
430C2×C42—522no—
431C2×C42—522no—
432C2×C42C2×#26111yescharacteristic
433C2×C42C2×#26111yescharacteristic
434C2×C42C2×#26111yescharacteristic
435#95—138no—
436#95—138no—
437#95—138no—
438#95—138no—
439#95—131no—
440#95—131no—
441#95—131no—
442#95—131no—
443#95—131no—
444#95—131no—
445#95—262no—
446#95—262no—
447#95—262no—
448#95—262no—
449#95—264no—
450#95—522no—
451#95—522no—
452#95—522no—
453#95—522no—
454#95C2×#26111yescharacteristic
455#95C2×#26111yescharacteristic
456C2×C13C4×#11711yescharacteristic
457C2×C13#227511yescharacteristic
458C2×C13#227611yescharacteristic
459C2×C13#231311yescharacteristic
460C2×C13#231411yescharacteristic
461C2×C13#231811yescharacteristic
462C2×C13#232011yescharacteristic
463D13#233212yes—
464D13#233412yes—
465D13#233512yes—
466D13#233612yes—
467C24—131no—
468C22×C4—131no—
469C22×C4—131no—
470C22×C4—131no—
471C22×C4—131no—
472C22×C4—131no—
473C22×C4—134no—
474C22×C4—134no—
475C22×C4—134no—
476C22×C4—132no—
477C22×C4—132no—
478C22×C4—134no—
479C22×C4—134no—
480C22×C4—134no—
481C22×C4—134no—
482C22×C4—134no—
483C22×C4—131no—
484C22×C4—131no—
485C22×C4—261no—
486C22×C4—261no—
487C22×C4—262no—
488C22×C4—262no—
489C22×C4—262no—
490C22×C4—261no—
491C22×C4—261no—
492C22×C4—262no—
493C22×C4—262no—
494C22×C4—261no—
495C22×C4—262no—
496C22×C4—261no—
497C22×C4—261no—
498C22×C4—261no—
499C22×C4—261no—
500C22×C4—261no—
501C22×C4—261no—
502C22×C4—262no—
503C22×C4—261no—
504C22×C4—261no—
505C22×C4—262no—
506C22×C4—261no—
507C22×C4—261no—
508C22×C4—261no—
509C22×C4—262no—
510C22×C4—262no—
511C22×C4—262no—
512C22×C4—262no—
513C22×C4—262no—
514C22×C4—262no—
515C22×C4—262no—
516C22×C4—262no—
517C22×C4—262no—
518C22×C4—262no—
519C22×C4—262no—
520C22×C4—262no—
521C22×C4—262no—
522C22×C4—262no—
523C22×C4—262no—
524C22×C4—262no—
525C22×C4—262no—
526C22×C4—262no—
527C22×C4—262no—
528C22×C4—262no—
529C22×C4—262no—
530C22×C4—262no—
531C22×C4—262no—
532C22×C4—262no—
533C22×C4C22×#26111yescharacteristic
534C22×C4C22×#26111yescharacteristic
535C22×C4C22×#26111yescharacteristic
536C22×C4C22×#26111yescharacteristic
537C22×C4C22×#26111yescharacteristic
538C22×C4C22×#26111yescharacteristic
539C22×C4C22×#26111yescharacteristic
540C4⋊C4—22no—
541C4⋊C4—134no—
542C4⋊C4—134no—
543C4⋊C4—134no—
544C4⋊C4—262no—
545C4⋊C4—262no—
546C4⋊C4—262no—
547C4⋊C4—528no—
548C4⋊C4C4×#26114yescomplemented
549C42—22no—
550C42—41no—
551C42—41no—
552C42—262no—
553C42—262no—
554C42—262no—
555C42—521no—
556C42—521no—
557C42—521no—
558C42—521no—
559C42—521no—
560C42—521no—
561C42—528no—
562C42—528no—
563C13#1378711yescharacteristic, complemented, Sylow
564C23—132no—
565C23—131no—
566C23—131no—
567C23—132no—
568C23—132no—
569C23—132no—
570C23—131no—
571C23—131no—
572C23—131no—
573C23—131no—
574C23C23×#26111yescharacteristic
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—132no—
592C2×C4—132no—
593C2×C4—132no—
594C2×C4—132no—
595C2×C4—132no—
596C2×C4—264no—
597C2×C4—264no—
598C2×C4—264no—
599C2×C4—264no—
600C2×C4—264no—
601C2×C4—264no—
602C2×C4—264no—
603C2×C4—264no—
604C2×C4—264no—
605C2×C4—264no—
606C2×C4—261no—
607C2×C4—261no—
608C2×C4—261no—
609C2×C4—261no—
610C2×C4—261no—
611C2×C4—261no—
612C2×C4—261no—
613C2×C4—261no—
614C2×C4—261no—
615C2×C4—261no—
616C2×C4—264no—
617C2×C4—264no—
618C2×C4—264no—
619C2×C4—264no—
620C2×C4—264no—
621C2×C4—264no—
622C2×C4—264no—
623C2×C4—264no—
624C2×C4—264no—
625C2×C4—264no—
626C2×C4—264no—
627C2×C4—264no—
628C2×C4—261no—
629C2×C4—261no—
630C2×C4—261no—
631C2×C4—261no—
632C2×C4—261no—
633C2×C4—261no—
634C2×C4—521no—
635C2×C4—521no—
636C2×C4—521no—
637C2×C4—521no—
638C2×C4—522no—
639C2×C4—522no—
640C2×C4—522no—
641C2×C4—522no—
642C2×C4—522no—
643C2×C4—522no—
644C2×C4—522no—
645C2×C4—522no—
646C2×C4—522no—
647C2×C4—522no—
648C2×C4—522no—
649C2×C4—522no—
650C2×C4—522no—
651C2×C4—522no—
652C2×C4—522no—
653C2×C4—522no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4C2×C4×#26112yes—
657C2×C4C2×C4×#26112yes—
658C2×C4C2×C4×#26112yes—
659C2×C4#8823712yes—
660C2×C4#8823712yes—
661C22—132no—
662C22—132no—
663C22—132no—
664C22—132no—
665C22—132no—
666C22—132no—
667C22—132no—
668C22—132no—
669C22—131no—
670C22—131no—
671C22—131no—
672C22—131no—
673C22—132no—
674C22—132no—
675C22—132no—
676C22—132no—
677C22C22×C4×#26111yescharacteristic
678C22C2×#8823711yescharacteristic
679C22C2×#8823711yescharacteristic
680C22#1171962311yescharacteristic
681C22#1171962711yescharacteristic
682C22#1171963111yescharacteristic
683C22#1171963111yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—41no—
690C4—41no—
691C4—262no—
692C4—262no—
693C4—262no—
694C4—262no—
695C4—262no—
696C4—524no—
697C4—524no—
698C4—524no—
699C4—524no—
700C4—521no—
701C4—521no—
702C2—132no—
703C2—132no—
704C2—132no—
705C2—132no—
706C2C4×#8823711yescharacteristic
707C2#1313127511yescharacteristic
708C2#1313127611yescharacteristic
709C2#1313131311yescharacteristic
710C2#1313131411yescharacteristic
711C2#1313131811yescharacteristic
712C2#1313132011yescharacteristic
subgroupG/H
center, FrattiniC23C23×#261
commutatorC22×C13C22×C42
FittingC4×C13×C4⋊C4C4
socleC23×C13C23×C4
prime radical, cosocleC23×D13C24
hypercenterC4×C4⋊C4#261
hypocenterC13#13787
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
33. #11719082C4semidirect
34. C4×C13×C4⋊C4C4semidirect
35. C4⋊C4×Dic13C4semidirect
36. C4⋊C4×Dic13C4semidirect
37. C4×C4⋊Dic13C4semidirect
38. C4×#6101C4semidirect
39. C4×#6101C4semidirect
42. #11718310C4semidirect
43. #11718310C4semidirect
189. C13×C4⋊C4C42semidirect
194. C4⋊Dic13C42semidirect
197. #6101C42semidirect
198. #6101C42semidirect
332. C4×C4⋊C4#261semidirect
548. C4⋊C4C4×#261semidirect
563. C13#13787semidirect

Maximal subgroups

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

subgroupindex
C2×#117190822
#131300162
#131300152
#131300142
#131300122
#131300112
C4×(C2×#261)⋊C42
C4×C4⋊C4×D132
#1378713