Finite Group Databasebeta

← #16791692

Subgroups — #16791692

Order 3328.

1422 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊#261C211yesmaximal, characteristic
2C2×#11719057C211yesmaximal, characteristic
3#13130025C212yesmaximal
4#13130023C212yesmaximal
5#13130022C212yesmaximal
6#13130021C212yesmaximal
7C4×(C2×#261)⋊C4C211yesmaximal, characteristic
8C4×(C2×#261)⋊C4C211yesmaximal, characteristic
9C4×(C2×#261)⋊C4C211yesmaximal, characteristic
10C4×(C2×#261)⋊C4C211yesmaximal, characteristic
11C4×C4⋊C4×D13C211yesmaximal, characteristic
12C22×C4⋊#261C2212yes—
13C22×C4×#261C2211yescharacteristic
14C22×C4×#261C2211yescharacteristic
15C22×C4×#261C2211yescharacteristic
16C22×C4×#261C2211yescharacteristic
17C2×C4⋊C4×D13C2211yescharacteristic
18C2×C4⋊C4×D13C2211yescharacteristic
19C2×C42×D13C2211yescharacteristic
20C2×C42×D13C2211yescharacteristic
21C2×C42×D13C2211yescharacteristic
22C2×(C2×#261)⋊C4C2212yes—
23C2×(C2×#261)⋊C4C2212yes—
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—
33C4×C4⋊#261—24no—
34#11719057—24no—
35C4×C13×C4⋊C4C411yescharacteristic, complemented
36C4⋊C4×Dic13C411yescharacteristic, complemented
37C4⋊C4×Dic13C411yescharacteristic, complemented
38C4×C4⋊Dic13C411yescharacteristic, complemented
39C4×#6101C411yescharacteristic, complemented
40C4×#6101C411yescharacteristic, complemented
41D13×#95C2211yescharacteristic
42D13×#95C2211yescharacteristic
43#11718310C411yescharacteristic, complemented
44#11718310C411yescharacteristic, complemented
45C23×#261C2312yes—
46C23×#261C2312yes—
47C23×#261C2312yes—
48C23×#261C2312yes—
49C22×C4×D13C2311yescharacteristic
50C22×C4×D13C2311yescharacteristic
51C22×C4×D13C2311yescharacteristic
52C22×C4×D13C2311yescharacteristic
53C22×C4×D13C2311yescharacteristic
54C22×C4×D13C2311yescharacteristic
55C22×C4×D13C2311yescharacteristic
56C2×C4⋊#261—24no—
57C2×C4⋊#261—24no—
58C2×C4⋊#261—24no—
59C2×C4×#261—22no—
60C2×C4×#261—22no—
61C2×C4×#261—22no—
62C2×C4×#261—22no—
63C2×C4×#261—22no—
64C2×C4×#261—22no—
65C2×C4×#261—22no—
66C2×C4×#261—22no—
67C2×C4×#261—22no—
68C2×C4×#261—22no—
69C2×C4×#261D414yes—
70C2×C4×#261Q814yes—
71C2×C13×C4⋊C4C2×C411yescharacteristic
72C2×C13×C4⋊C4C2×C411yescharacteristic
73C2×C42×C13C2×C411yescharacteristic
74C2×C42×C13C2×C411yescharacteristic
75C2×C42×C13C2×C411yescharacteristic
76C2×C4⋊Dic13C2×C411yescharacteristic
77C2×C4⋊Dic13C2×C411yescharacteristic
78C2×#6101C2×C411yescharacteristic
79C2×#6101C2×C411yescharacteristic
80C2×#6101C2×C411yescharacteristic
81C2×#6101C2×C411yescharacteristic
82C2×C4×Dic13C2×C411yescharacteristic
83C2×C4×Dic13C2×C411yescharacteristic
84C2×C4×Dic13C2×C411yescharacteristic
85C2×C4×Dic13C2×C411yescharacteristic
86C2×C4×Dic13C2×C411yescharacteristic
87C2×C4×Dic13C2×C411yescharacteristic
88C2×C4×Dic13C2×C411yescharacteristic
89C2×C4×Dic13C2×C411yescharacteristic
90C2×C4×Dic13C2×C411yescharacteristic
91C4⋊C4×D13—24no—
92C4⋊C4×D13—24no—
93C42×D13—22no—
94C42×D13—22no—
95C42×D13—22no—
96C42×D13—22no—
97C42×D13—22no—
98C42×D13—22no—
99(C2×#261)⋊C4—24no—
100(C2×#261)⋊C4—24no—
101(C2×#261)⋊C4—24no—
102(C2×#261)⋊C4—24no—
103(C2×#261)⋊C4—24no—
104(C2×#261)⋊C4—24no—
105(C2×#261)⋊C4—24no—
106(C2×#261)⋊C4—24no—
107(C2×#261)⋊C4—24no—
108(C2×#261)⋊C4—24no—
109(C2×#261)⋊C4—24no—
110C13×#95C2×C411yescharacteristic
111C13×#95C2×C411yescharacteristic
112#88071C2×C411yescharacteristic
113#88071C2×C411yescharacteristic
114#88071C2×C411yescharacteristic
115#88071C2×C411yescharacteristic
116#88071C2×C411yescharacteristic
117#88071C2×C411yescharacteristic
118#13846—131nomaximal, Sylow
119C23×D13C2411yescharacteristic
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×#261—22no—
138C22×#261—22no—
139C22×#261—22no—
140C22×#261—22no—
141C22×#261—22no—
142C22×#261—22no—
143C22×#261—22no—
144C22×#261C2×D414yes—
145C22×#261C2×Q814yes—
146C22×#261#4114yes—
147C22×#261#4114yes—
148C22×C4×C13C22×C411yescharacteristic
149C22×C4×C13C22×C411yescharacteristic
150C22×C4×C13C22×C411yescharacteristic
151C22×C4×C13C22×C411yescharacteristic
152C22×C4×C13C22×C411yescharacteristic
153C22×C4×C13C22×C411yescharacteristic
154C22×C4×C13C22×C411yescharacteristic
155C22×Dic13C22×C411yescharacteristic
156C22×Dic13C22×C411yescharacteristic
157C22×Dic13C22×C411yescharacteristic
158C22×Dic13C22×C411yescharacteristic
159C22×Dic13C22×C411yescharacteristic
160C22×Dic13C22×C411yescharacteristic
161C22×Dic13C22×C411yescharacteristic
162C2×C4×D13—21no—
163C2×C4×D13—21no—
164C2×C4×D13—21no—
165C2×C4×D13—21no—
166C2×C4×D13—22no—
167C2×C4×D13—22no—
168C2×C4×D13—21no—
169C2×C4×D13—21no—
170C2×C4×D13—21no—
171C2×C4×D13—22no—
172C2×C4×D13—22no—
173C2×C4×D13—22no—
174C2×C4×D13—22no—
175C2×C4×D13—22no—
176C2×C4×D13—21no—
177C2×C4×D13—21no—
178C2×C4×D13—21no—
179C2×C4×D13—21no—
180C2×C4×D13—21no—
181C2×C4×D13—22no—
182C2×C4×D13—22no—
183C2×C4×D13—22no—
184C2×C4×D13C2×D412yes—
185C2×C4×D13C2×Q812yes—
186C2×C4×D13#4114yes—
187C2×C4×D13#4114yes—
188C2×C4×D13#4112yes—
189C2×C4×D13#4112yes—
190C2×C4×D13#4112yes—
191C2×C4×D13#4112yes—
192C4⋊#261—216no—
193C4×#261—28no—
194C4×#261—28no—
195C4×#261—44no—
196C4×#261—44no—
197C13×C4⋊C4—22no—
198C13×C4⋊C4—22no—
199C42×C13—22no—
200C42×C13—22no—
201C42×C13—22no—
202C4⋊Dic13—22no—
203C4⋊Dic13—22no—
204#6101—22no—
205#6101—22no—
206#6101—22no—
207#6101—22no—
208C4×Dic13—22no—
209C4×Dic13—22no—
210C4×Dic13—22no—
211C4×Dic13—22no—
212C4×Dic13—22no—
213C4×Dic13—22no—
214C4×Dic13—22no—
215C4×Dic13—22no—
216C4×Dic13—22no—
217C2×C4×C4⋊C4—131no—
218C2×C4×C4⋊C4—131no—
219C2×#376—131no—
220#1445—132no—
221#1443—132no—
222#1442—132no—
223#1441—132no—
224C4×#95—131no—
225C4×#95—131no—
226C4×#95—131no—
227C4×#95—131no—
228C23×C13C23×C411yescharacteristic
229C22×D13C22×D411yescharacteristic
230C22×D13C22×Q811yescharacteristic
231C22×D13C2×#4111yescharacteristic
232C22×D13C2×#4111yescharacteristic
233C22×D13C2×#4111yescharacteristic
234C22×D13C2×#4112yes—
235C22×D13C2×#4112yes—
236C22×D13C2×#4111yescharacteristic
237C22×D13C2×#4112yes—
238C22×D13C2×#4112yes—
239C2×#261—24no—
240C2×#261—24no—
241C2×#261—24no—
242C2×#261—24no—
243C2×#261—24no—
244C2×#261—24no—
245C2×#261—24no—
246C2×#261—24no—
247C2×#261—24no—
248C2×#261—24no—
249C2×#261—24no—
250C2×#261—24no—
251C2×#261—42no—
252C2×#261—42no—
253C2×#261—42no—
254C2×#261—42no—
255C2×#261—42no—
256C2×#261—42no—
257C2×#261—42no—
258C2×#261—42no—
259C2×#261—42no—
260C2×#261—42no—
261C2×#261—42no—
262C2×#261—42no—
263C2×#261—42no—
264C2×#261—42no—
265C2×#261—42no—
266C2×#261—42no—
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×C13—21no—
275C2×C4×C13—21no—
276C2×C4×C13—21no—
277C2×C4×C13—21no—
278C2×C4×C13—21no—
279C2×C4×C13—21no—
280C2×C4×C13—21no—
281C2×C4×C13—21no—
282C2×C4×C13—21no—
283C2×C4×C13#11712yes—
284C2×C4×C13#11712yes—
285C2×C4×C13#11712yes—
286C2×C4×C13C4×D412yes—
287C2×C4×C13C4×Q812yes—
288C2×Dic13—21no—
289C2×Dic13—21no—
290C2×Dic13—21no—
291C2×Dic13—21no—
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—21no—
303C2×Dic13—21no—
304C2×Dic13#11712yes—
305C2×Dic13#11712yes—
306C2×Dic13#11712yes—
307C2×Dic13C4×D412yes—
308C2×Dic13C4×Q812yes—
309C4×D13—24no—
310C4×D13—24no—
311C4×D13—24no—
312C4×D13—24no—
313C4×D13—42no—
314C4×D13—42no—
315C4×D13—42no—
316C4×D13—42no—
317C4×D13—42no—
318C4×D13—42no—
319C4×D13—42no—
320C4×D13—42no—
321C4×D13C22⋊Q814yes—
322C4×D13#12314yes—
323C4×D13#12514yes—
324C4×D13#12614yes—
325C22×C4⋊C4—131no—
326C22×C4⋊C4—131no—
327C22×C4⋊C4—132no—
328C22×C42—131no—
329C22×C42—131no—
330C22×C42—131no—
331C22×C42—131no—
332C22×C42—131no—
333C22×C42—131no—
334C22×C42—131no—
335C4×C4⋊C4—131no—
336C4×C4⋊C4—131no—
337C4×C4⋊C4—131no—
338C4×C4⋊C4—131no—
339C4×C4⋊C4—131no—
340C4×C4⋊C4—131no—
341C4×C4⋊C4—131no—
342C4×C4⋊C4—264no—
343C4×C4⋊C4#26111yescharacteristic, complemented
344#376—264no—
345C2×#95—131no—
346C2×#95—131no—
347C2×#95—132no—
348C2×#95—132no—
349C2×#95—132no—
350C2×#95—132no—
351C2×#95—132no—
352C2×#95—132no—
353C2×#95—132no—
354C2×#95—132no—
355C2×#95—132no—
356C2×#95—132no—
357C2×#95—132no—
358C22×C13C2×#11711yescharacteristic
359C22×C13C2×#11711yescharacteristic
360C22×C13C2×#11711yescharacteristic
361C22×C13C2×C4×D411yescharacteristic
362C22×C13C2×C4×Q811yescharacteristic
363C22×C13C4×#4111yescharacteristic
364C22×C13C4×#4111yescharacteristic
365C2×D13C2×C22⋊Q811yescharacteristic
366C2×D13C2×#12311yescharacteristic
367C2×D13#52512yes—
368C2×D13C2×#12511yescharacteristic
369C2×D13C2×#12611yescharacteristic
370C2×D13#52912yes—
371C2×D13#52912yes—
372C2×D13#52912yes—
373C2×D13#52912yes—
374C2×D13#52912yes—
375C2×D13#52912yes—
376C2×D13#52912yes—
377C2×D13#52912yes—
378C2×D13#53212yes—
379C2×D13#53312yes—
380C2×D13#53312yes—
381#261—44no—
382#261—44no—
383#261—44no—
384#261—44no—
385C4×C13—22no—
386C4×C13—22no—
387C4×C13—41no—
388C4×C13—41no—
389C4×C13—41no—
390C4×C13—41no—
391C4×C13#38714yes—
392Dic13—22no—
393Dic13—22no—
394Dic13—41no—
395Dic13—41no—
396Dic13—41no—
397Dic13—41no—
398Dic13#38714yes—
399C23×C4—131no—
400C23×C4—131no—
401C23×C4—131no—
402C23×C4—132no—
403C23×C4—132no—
404C23×C4—132no—
405C23×C4—132no—
406C23×C4—131no—
407C23×C4—131no—
408C23×C4—131no—
409C23×C4—131no—
410C2×C4⋊C4—131no—
411C2×C4⋊C4—131no—
412C2×C4⋊C4—131no—
413C2×C4⋊C4—131no—
414C2×C4⋊C4—131no—
415C2×C4⋊C4—131no—
416C2×C4⋊C4—264no—
417C2×C4⋊C4—264no—
418C2×C4⋊C4—264no—
419C2×C4⋊C4—264no—
420C2×C4⋊C4—264no—
421C2×C4⋊C4C2×#26111yescharacteristic
422C2×C4⋊C4C2×#26111yescharacteristic
423C2×C42—134no—
424C2×C42—134no—
425C2×C42—131no—
426C2×C42—131no—
427C2×C42—131no—
428C2×C42—131no—
429C2×C42—131no—
430C2×C42—131no—
431C2×C42—131no—
432C2×C42—131no—
433C2×C42—131no—
434C2×C42—262no—
435C2×C42—262no—
436C2×C42—262no—
437C2×C42—262no—
438C2×C42—262no—
439C2×C42—262no—
440C2×C42—262no—
441C2×C42—262no—
442C2×C42—262no—
443C2×C42—262no—
444C2×C42—262no—
445C2×C42—262no—
446C2×C42—262no—
447C2×C42—262no—
448C2×C42—262no—
449C2×C42—262no—
450C2×C42C2×#26111yescharacteristic
451C2×C42C2×#26111yescharacteristic
452C2×C42C2×#26111yescharacteristic
453#95—131no—
454#95—131no—
455#95—131no—
456#95—131no—
457#95—131no—
458#95—131no—
459#95—264no—
460#95—264no—
461#95—264no—
462#95—264no—
463#95—264no—
464#95—264no—
465#95—264no—
466#95—264no—
467#95—264no—
468#95—264no—
469#95—264no—
470#95C2×#26111yescharacteristic
471#95C2×#26111yescharacteristic
472C2×C13#228311yescharacteristic
473C2×C13C2×#38711yescharacteristic
474C2×C13#229011yescharacteristic
475C2×C13#229311yescharacteristic
476C2×C13#229511yescharacteristic
477C2×C13#229511yescharacteristic
478C2×C13#229811yescharacteristic
479D13#239512yes—
480D13#239612yes—
481D13#240112yes—
482D13#240212yes—
483C24—131no—
484C22×C4—131no—
485C22×C4—132no—
486C22×C4—132no—
487C22×C4—132no—
488C22×C4—132no—
489C22×C4—132no—
490C22×C4—132no—
491C22×C4—131no—
492C22×C4—131no—
493C22×C4—134no—
494C22×C4—134no—
495C22×C4—134no—
496C22×C4—134no—
497C22×C4—134no—
498C22×C4—134no—
499C22×C4—131no—
500C22×C4—131no—
501C22×C4—131no—
502C22×C4—131no—
503C22×C4—261no—
504C22×C4—261no—
505C22×C4—261no—
506C22×C4—261no—
507C22×C4—262no—
508C22×C4—262no—
509C22×C4—261no—
510C22×C4—261no—
511C22×C4—261no—
512C22×C4—262no—
513C22×C4—262no—
514C22×C4—262no—
515C22×C4—262no—
516C22×C4—262no—
517C22×C4—261no—
518C22×C4—261no—
519C22×C4—261no—
520C22×C4—261no—
521C22×C4—261no—
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×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×C4C22×#26111yescharacteristic
550C22×C4C22×#26111yescharacteristic
551C22×C4C22×#26111yescharacteristic
552C22×C4C22×#26111yescharacteristic
553C22×C4C22×#26111yescharacteristic
554C22×C4C22×#26111yescharacteristic
555C22×C4C22×#26111yescharacteristic
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—262no—
559C4⋊C4—262no—
560C4⋊C4—262no—
561C4⋊C4—262no—
562C4⋊C4—2616no—
563C4⋊C4—262no—
564C4⋊C4—262no—
565C42—22no—
566C42—22no—
567C42—22no—
568C42—262no—
569C42—262no—
570C42—262no—
571C42—262no—
572C42—262no—
573C42—262no—
574C42—268no—
575C42—268no—
576C42—262no—
577C42—262no—
578C42—262no—
579C42—524no—
580C42—524no—
581C13#1384611yescharacteristic, complemented, Sylow
582C23—131no—
583C23—131no—
584C23—132no—
585C23—132no—
586C23—131no—
587C23—131no—
588C23—131no—
589C23—131no—
590C23—132no—
591C23—132no—
592C23C23×#26111yescharacteristic
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—132no—
610C2×C4—132no—
611C2×C4—132no—
612C2×C4—134no—
613C2×C4—134no—
614C2×C4—134no—
615C2×C4—134no—
616C2×C4—132no—
617C2×C4—132no—
618C2×C4—264no—
619C2×C4—264no—
620C2×C4—264no—
621C2×C4—264no—
622C2×C4—261no—
623C2×C4—261no—
624C2×C4—261no—
625C2×C4—261no—
626C2×C4—264no—
627C2×C4—264no—
628C2×C4—264no—
629C2×C4—264no—
630C2×C4—264no—
631C2×C4—264no—
632C2×C4—264no—
633C2×C4—264no—
634C2×C4—264no—
635C2×C4—264no—
636C2×C4—264no—
637C2×C4—264no—
638C2×C4—261no—
639C2×C4—261no—
640C2×C4—261no—
641C2×C4—261no—
642C2×C4—261no—
643C2×C4—261no—
644C2×C4—261no—
645C2×C4—261no—
646C2×C4—261no—
647C2×C4—261no—
648C2×C4—261no—
649C2×C4—261no—
650C2×C4—522no—
651C2×C4—522no—
652C2×C4—522no—
653C2×C4—522no—
654C2×C4—522no—
655C2×C4—522no—
656C2×C4—522no—
657C2×C4—522no—
658C2×C4—522no—
659C2×C4—522no—
660C2×C4—522no—
661C2×C4—522no—
662C2×C4—522no—
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#8823712yes—
675C2×C4#8823712yes—
676C2×C4#8823712yes—
677C2×C4D4×#26112yes—
678C2×C4Q8×#26112yes—
679C22—132no—
680C22—132no—
681C22—131no—
682C22—131no—
683C22—131no—
684C22—131no—
685C22—132no—
686C22—132no—
687C22—132no—
688C22—132no—
689C22—132no—
690C22—132no—
691C22—132no—
692C22—132no—
693C22—132no—
694C22—132no—
695C22C2×#8823711yescharacteristic
696C22C2×#8823711yescharacteristic
697C22C2×#8823711yescharacteristic
698C22C2×D4×#26111yescharacteristic
699C22C2×Q8×#26111yescharacteristic
700C22#41×#26111yescharacteristic
701C22#41×#26111yescharacteristic
702C4—22no—
703C4—22no—
704C4—41no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—134no—
709C4—262no—
710C4—262no—
711C4—524no—
712C4—524no—
713C4—524no—
714C4—524no—
715C4—521no—
716C4—521no—
717C4—521no—
718C4—521no—
719C4#1171908214yes—
720C2—132no—
721C2—132no—
722C2—132no—
723C2—132no—
724C2#1313128311yescharacteristic
725C2C2×#1171908211yescharacteristic
726C2#1313129011yescharacteristic
727C2#1313129311yescharacteristic
728C2#1313129511yescharacteristic
729C2#1313129511yescharacteristic
730C2#1313129811yescharacteristic
subgroupG/H
centerC22×C4C22×#261
commutator, socleC23×C13C23×C4
FrattiniC23C23×#261
FittingC4×C13×C4⋊C4C4
prime radical, cosocleC23×D13C24
hypercenterC4×C4⋊C4#261
hypocenterC13#13846
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
35. C4×C13×C4⋊C4C4semidirect
36. C4⋊C4×Dic13C4semidirect
37. C4⋊C4×Dic13C4semidirect
38. C4×C4⋊Dic13C4semidirect
39. C4×#6101C4semidirect
40. C4×#6101C4semidirect
43. #11718310C4semidirect
44. #11718310C4semidirect
343. C4×C4⋊C4#261semidirect
581. C13#13846semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊#2612
C2×#117190572
#131300252
#131300232
#131300222
#131300212
C4×(C2×#261)⋊C42
C4×C4⋊C4×D132
#1384613