Finite Group Databasebeta

← #15784920

Subgroups — #15784920

Order 3328.

2222 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718642C212yesmaximal, complemented
2C2×#11718873C211yesmaximal, characteristic
3C2×C4×C22⋊Dic13C211yesmaximal, characteristic
4#13113104C212yesmaximal, complemented
5#13113089C212yesmaximal, complemented
6#13113068C212yesmaximal, complemented
7#13113059C211yesmaximal, characteristic
8#13113059C211yesmaximal, characteristic
9#13113059C211yesmaximal, characteristic
10#13113059C211yesmaximal, characteristic
11C23×C13×C4⋊C4C211yesmaximal, characteristic
12C24×C4×C13C2211yescharacteristic
13C24×C4×C13C2211yescharacteristic
14C24×C4×C13C2211yescharacteristic
15C22×C13×C4⋊C4—28no—
16C22×C13×C4⋊C4C418yescomplemented
17C22×C13×C4⋊C4C2211yescharacteristic
18C22×C13×C4⋊C4C2211yescharacteristic
19C22×C13×C4⋊C4C2211yescharacteristic
20C22×C13×C4⋊C4C2211yescharacteristic
21C22×C22⋊Dic13C2211yescharacteristic
22C22×C22⋊Dic13C2211yescharacteristic
23C22×C22⋊Dic13C2211yescharacteristic
24C22×C22⋊Dic13C2211yescharacteristic
25C22×C4⋊Dic13C2212yes—
26C22×C4×Dic13C2212yes—
27#11718873—24no—
28C4×C22⋊Dic13—24no—
29C2×#88071C2212yes—
30C2×#88071C2212yes—
31C2×#88071C2212yes—
32C2×#88071C2212yes—
33C2×#88071C2212yes—
34C2×#88071C2212yes—
35C2×#88071C2212yes—
36C2×#88071C2212yes—
37C2×#88071C2212yes—
38C2×#88071C2212yes—
39#11718642—28no—
40C25×C13C2311yescharacteristic
41C23×C4×C13—22no—
42C23×C4×C13—22no—
43C23×C4×C13—24no—
44C23×C4×C13—24no—
45C23×C4×C13—22no—
46C23×C4×C13—22no—
47C23×C4×C13—22no—
48C23×C4×C13—22no—
49C23×C4×C13—24no—
50C23×C4×C13—24no—
51C23×C4×C13—42no—
52C23×C4×C13—42no—
53C23×C4×C13C2×C414yes—
54C23×C4×C13C2×C414yes—
55C23×C4×C13C2×C414yes—
56C23×C4×C13C2311yescharacteristic
57C23×C4×C13C2311yescharacteristic
58C23×C4×C13C2311yescharacteristic
59C23×C4×C13C2311yescharacteristic
60C23×C4×C13C2311yescharacteristic
61C23×C4×C13C2311yescharacteristic
62C23×Dic13C2312yes—
63C23×Dic13C2312yes—
64C23×Dic13C2312yes—
65C23×Dic13C2312yes—
66C2×C13×C4⋊C4—24no—
67C2×C13×C4⋊C4—24no—
68C2×C13×C4⋊C4—24no—
69C2×C13×C4⋊C4—232no—
70C2×C13×C4⋊C4C2×C414yes—
71C2×C13×C4⋊C4C2×C414yes—
72C2×C13×C4⋊C4C2×C414yes—
73C2×C13×C4⋊C4C2×C414yes—
74C2×C13×C4⋊C4D418yes—
75C2×C22⋊Dic13—22no—
76C2×C22⋊Dic13—22no—
77C2×C22⋊Dic13—22no—
78C2×C22⋊Dic13—22no—
79C2×C22⋊Dic13—22no—
80C2×C22⋊Dic13—22no—
81C2×C22⋊Dic13—22no—
82C2×C22⋊Dic13—22no—
83C2×C22⋊Dic13—22no—
84C2×C22⋊Dic13—22no—
85C2×C22⋊Dic13D414yes—
86C2×C22⋊Dic13Q814yes—
87C2×C4⋊Dic13—24no—
88C2×C4⋊Dic13—24no—
89C2×C4⋊Dic13—42no—
90C2×C4×Dic13—24no—
91C2×C4×Dic13—24no—
92C2×C4×Dic13—42no—
93#88071—24no—
94#88071—24no—
95#88071—24no—
96#88071—24no—
97#88071—24no—
98#88071—24no—
99#88071—24no—
100#88071—24no—
101#88071—42no—
102#88071—42no—
103#13882—131nomaximal, Sylow
104C24×C13—22no—
105C24×C13—22no—
106C24×C13—22no—
107C24×C13—22no—
108C24×C13C22×C412yes—
109C24×C13C2×D412yes—
110C24×C13C2×Q812yes—
111C24×C13#4112yes—
112C24×C13#4112yes—
113C24×C13#4112yes—
114C24×C13#4112yes—
115C24×C13C2411yescharacteristic
116C22×C4×C13—216no—
117C22×C4×C13—216no—
118C22×C4×C13—28no—
119C22×C4×C13—21no—
120C22×C4×C13—21no—
121C22×C4×C13—22no—
122C22×C4×C13—21no—
123C22×C4×C13—21no—
124C22×C4×C13—22no—
125C22×C4×C13—21no—
126C22×C4×C13—21no—
127C22×C4×C13—21no—
128C22×C4×C13—21no—
129C22×C4×C13—22no—
130C22×C4×C13—22no—
131C22×C4×C13—28no—
132C22×C4×C13—28no—
133C22×C4×C13—28no—
134C22×C4×C13—28no—
135C22×C4×C13—21no—
136C22×C4×C13—21no—
137C22×C4×C13—22no—
138C22×C4×C13—22no—
139C22×C4×C13—21no—
140C22×C4×C13—21no—
141C22×C4×C13—22no—
142C22×C4×C13—22no—
143C22×C4×C13—28no—
144C22×C4×C13—28no—
145C22×C4×C13—44no—
146C22×C4×C13—44no—
147C22×C4×C13—48no—
148C22×C4×C13—48no—
149C22×C4×C13—48no—
150C22×C4×C13—48no—
151C22×C4×C13C22×C412yes—
152C22×C4×C13C22×C412yes—
153C22×C4×C13C22×C412yes—
154C22×C4×C13C22×C412yes—
155C22×C4×C13C22×C412yes—
156C22×C4×C13C22×C412yes—
157C22×C4×C13C2×D414yes—
158C22×C4×C13C2×D414yes—
159C22×C4×C13C2×D414yes—
160C22×C4×C13#4114yes—
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—22no—
187C22×Dic13C2×D414yes—
188C22×Dic13C2×Q814yes—
189C13×C4⋊C4—28no—
190C13×C4⋊C4—28no—
191C13×C4⋊C4—28no—
192C13×C4⋊C4C22⋊C4116yescomplemented
193C22⋊Dic13—28no—
194C22⋊Dic13—28no—
195C22⋊Dic13—44no—
196C22⋊Dic13—44no—
197C4⋊Dic13—48no—
198C4×Dic13—48no—
199C23×C4⋊C4D1311yescharacteristic
200C2×#387—132no—
201C2×#380—131no—
202C2×C4×C22⋊C4—131no—
203#1445—132no—
204#1441—132no—
205#1436—132no—
206C22⋊#95—131no—
207C22⋊#95—131no—
208C22⋊#95—131no—
209C22⋊#95—131no—
210C23×C13—22no—
211C23×C13—22no—
212C23×C13—22no—
213C23×C13—22no—
214C23×C13—24no—
215C23×C13—24no—
216C23×C13—24no—
217C23×C13—24no—
218C23×C13—24no—
219C23×C13—24no—
220C23×C13—24no—
221C23×C13—24no—
222C23×C13—24no—
223C23×C13—24no—
224C23×C13—24no—
225C23×C13—24no—
226C23×C13#11714yes—
227C23×C13C4×D414yes—
228C23×C13C4×Q814yes—
229C23×C13C22⋊Q814yes—
230C23×C13#12314yes—
231C23×C13#12514yes—
232C23×C13#12614yes—
233C23×C13C23×C411yescharacteristic
234C23×C13C22×D412yes—
235C23×C13C22×D411yescharacteristic
236C23×C13C22×Q811yescharacteristic
237C23×C13C2×#4111yescharacteristic
238C23×C13C2×#4111yescharacteristic
239C23×C13C2×#4112yes—
240C23×C13C2×#4111yescharacteristic
241C23×C13C2×#4111yescharacteristic
242C23×C13H(5,𝔽2)12yes—
243C23×C132−1+412yes—
244C2×C4×C13—232no—
245C2×C4×C13—22no—
246C2×C4×C13—22no—
247C2×C4×C13—22no—
248C2×C4×C13—22no—
249C2×C4×C13—22no—
250C2×C4×C13—22no—
251C2×C4×C13—22no—
252C2×C4×C13—22no—
253C2×C4×C13—24no—
254C2×C4×C13—24no—
255C2×C4×C13—24no—
256C2×C4×C13—24no—
257C2×C4×C13—24no—
258C2×C4×C13—24no—
259C2×C4×C13—24no—
260C2×C4×C13—24no—
261C2×C4×C13—22no—
262C2×C4×C13—22no—
263C2×C4×C13—22no—
264C2×C4×C13—22no—
265C2×C4×C13—22no—
266C2×C4×C13—22no—
267C2×C4×C13—416no—
268C2×C4×C13—416no—
269C2×C4×C13—42no—
270C2×C4×C13—42no—
271C2×C4×C13—42no—
272C2×C4×C13—42no—
273C2×C4×C13C2×C22⋊C414yes—
274C2×C4×C13C2×C22⋊C414yes—
275C2×C4×C13C2×C22⋊C414yes—
276C2×C4×C13#11714yes—
277C2×Dic13—24no—
278C2×Dic13—24no—
279C2×Dic13—24no—
280C2×Dic13—24no—
281C2×Dic13—24no—
282C2×Dic13—24no—
283C2×Dic13—42no—
284C2×Dic13—42no—
285C2×Dic13—42no—
286C2×Dic13—42no—
287C2×Dic13—42no—
288C2×Dic13—42no—
289C2×Dic13—42no—
290C2×Dic13—42no—
291C2×Dic13—42no—
292C2×Dic13—42no—
293C2×Dic13—42no—
294C2×Dic13—42no—
295C2×Dic13—42no—
296C2×Dic13—42no—
297C2×Dic13—42no—
298C2×Dic13—42no—
299C2×Dic13—42no—
300C2×Dic13—42no—
301C2×Dic13—42no—
302C2×Dic13—42no—
303C2×Dic13—42no—
304C2×Dic13—42no—
305C24×C4C2×D1311yescharacteristic
306C24×C4C2×D1311yescharacteristic
307C24×C4C2×D1311yescharacteristic
308C22×C4⋊C4—28no—
309C22×C4⋊C4—132no—
310C22×C4⋊C4Dic1318yescomplemented
311C22×C4⋊C4C2×D1311yescharacteristic
312C22×C4⋊C4C2×D1311yescharacteristic
313C22×C4⋊C4C2×D1311yescharacteristic
314C22×C4⋊C4C2×D1311yescharacteristic
315C22×C22⋊C4—131no—
316C22×C22⋊C4—131no—
317C22×C22⋊C4—131no—
318C22×C22⋊C4—131no—
319C22×C42—132no—
320#387—268no—
321#380—264no—
322C4×C22⋊C4—264no—
323C2×#95—132no—
324C2×#95—132no—
325C2×#95—132no—
326C2×#95—132no—
327C2×#95—132no—
328C2×#95—132no—
329C2×#95—132no—
330C2×#95—132no—
331C2×#95—132no—
332C2×#95—132no—
333C22×C13—24no—
334C22×C13—24no—
335C22×C13—24no—
336C22×C13—24no—
337C22×C13—24no—
338C22×C13—28no—
339C22×C13—28no—
340C22×C13—28no—
341C22×C13—28no—
342C22×C13—24no—
343C22×C13#38718yescomplemented
344C22×C13C22×C22⋊C411yescharacteristic
345C22×C13C2×#11711yescharacteristic
346C22×C13C2×#11711yescharacteristic
347C22×C13C2×C4×D411yescharacteristic
348C22×C13C2×C4×Q811yescharacteristic
349C22×C13#51811yescharacteristic
350C22×C13#51911yescharacteristic
351C22×C13C2×C22⋊Q811yescharacteristic
352C22×C13C2×#12311yescharacteristic
353C22×C13#52512yes—
354C22×C13#52512yes—
355C22×C13C2×#12511yescharacteristic
356C22×C13C2×#12611yescharacteristic
357C22×C13#53912yes—
358C22×C13#53912yes—
359C22×C13D4212yes—
360C22×C13#54612yes—
361C22×C13#54712yes—
362C22×C13#54812yes—
363C22×C13D4×Q812yes—
364C22×C13#55212yes—
365C22×C13#55312yes—
366C22×C13#55412yes—
367C4×C13—24no—
368C4×C13—24no—
369C4×C13—24no—
370C4×C13—24no—
371C4×C13—42no—
372C4×C13—42no—
373Dic13—44no—
374Dic13—44no—
375Dic13—82no—
376Dic13—82no—
377C25C22×D1311yescharacteristic
378C23×C4—22no—
379C23×C4—22no—
380C23×C4—24no—
381C23×C4—24no—
382C23×C4—22no—
383C23×C4—22no—
384C23×C4—22no—
385C23×C4—22no—
386C23×C4—24no—
387C23×C4—24no—
388C23×C4—42no—
389C23×C4—42no—
390C23×C4—132no—
391C23×C4—132no—
392C23×C4—132no—
393C23×C4—132no—
394C23×C4C2×Dic1314yes—
395C23×C4C2×Dic1314yes—
396C23×C4C2×Dic1314yes—
397C23×C4C22×D1311yescharacteristic
398C23×C4C22×D1311yescharacteristic
399C23×C4C22×D1311yescharacteristic
400C23×C4C22×D1311yescharacteristic
401C23×C4C22×D1311yescharacteristic
402C23×C4C22×D1311yescharacteristic
403C2×C4⋊C4—24no—
404C2×C4⋊C4—24no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4—232no—
407C2×C4⋊C4—264no—
408C2×C4⋊C4—264no—
409C2×C4⋊C4—522no—
410C2×C4⋊C4C2×Dic1314yes—
411C2×C4⋊C4C2×Dic1314yes—
412C2×C4⋊C4C2×Dic1314yes—
413C2×C4⋊C4C2×Dic1314yes—
414C2×C4⋊C4C22⋊D1318yes—
415C2×C22⋊C4—134no—
416C2×C22⋊C4—134no—
417C2×C22⋊C4—262no—
418C2×C22⋊C4—262no—
419C2×C22⋊C4—262no—
420C2×C22⋊C4—262no—
421C2×C22⋊C4—262no—
422C2×C22⋊C4—262no—
423C2×C22⋊C4—262no—
424C2×C22⋊C4—262no—
425C2×C22⋊C4—262no—
426C2×C22⋊C4—262no—
427C2×C42—264no—
428C2×C42—264no—
429C2×C42—522no—
430#95—264no—
431#95—264no—
432#95—264no—
433#95—264no—
434#95—264no—
435#95—264no—
436#95—264no—
437#95—264no—
438#95—522no—
439#95—522no—
440C2×C13—28no—
441C2×C13#228011yescharacteristic
442C2×C13C2×#38711yescharacteristic
443C2×C13#231311yescharacteristic
444C2×C13D4×C22⋊C411yescharacteristic
445C2×C13Q8×C22⋊C411yescharacteristic
446C2×C13#234411yescharacteristic
447C2×C13#234511yescharacteristic
448C2×C13#244312yes—
449C2×C13#244912yes—
450C2×C13#247312yes—
451C2×C13#248112yes—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24#612712yes—
457C24#612712yes—
458C24D4×D1312yes—
459C24#612912yes—
460C24Q8×D1312yes—
461C24#613112yes—
462C24C22×Dic1312yes—
463C24C23×D1311yescharacteristic
464C22×C4—216no—
465C22×C4—216no—
466C22×C4—28no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—28no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—28no—
492C22×C4—28no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—48no—
499C22×C4—134no—
500C22×C4—134no—
501C22×C4—262no—
502C22×C4—262no—
503C22×C4—262no—
504C22×C4—262no—
505C22×C4—262no—
506C22×C4—262no—
507C22×C4—262no—
508C22×C4—262no—
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#612714yes—
528C22×C4C22×Dic1312yes—
529C22×C4C22×Dic1312yes—
530C22×C4C22×Dic1312yes—
531C22×C4C22×Dic1312yes—
532C22×C4C22×Dic1312yes—
533C22×C4C22×Dic1312yes—
534C22×C4C2×C22⋊D1314yes—
535C22×C4C2×C22⋊D1314yes—
536C22×C4C2×C22⋊D1314yes—
537C4⋊C4—28no—
538C4⋊C4—28no—
539C4⋊C4—28no—
540C4⋊C4—528no—
541C4⋊C4C22⋊Dic13116yescomplemented
542C22⋊C4—268no—
543C22⋊C4—268no—
544C22⋊C4—524no—
545C22⋊C4—524no—
546C42—528no—
547C13#1388211yescharacteristic, complemented, Sylow
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—22no—
555C23—24no—
556C23—24no—
557C23—22no—
558C23—24no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—22no—
564C23#8814314yes—
565C23#8814814yes—
566C23#8815014yes—
567C23#8815214yes—
568C23#8818014yes—
569C23D4×Dic1314yes—
570C23Q8×Dic1314yes—
571C23C2×#612711yescharacteristic
572C23C2×#612712yes—
573C23C2×#612711yescharacteristic
574C23C2×D4×D1311yescharacteristic
575C23C2×#612911yescharacteristic
576C23#8825112yes—
577C23C2×Q8×D1311yescharacteristic
578C23C2×#613111yescharacteristic
579C23#8825412yes—
580C23C23×Dic1311yescharacteristic
581C23C22×C22⋊D1312yes—
582C2×C4—232no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—24no—
587C2×C4—24no—
588C2×C4—24no—
589C2×C4—24no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—416no—
606C2×C4—416no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—264no—
612C2×C4—264no—
613C2×C4—264no—
614C2×C4—264no—
615C2×C4—264no—
616C2×C4—264no—
617C2×C4—522no—
618C2×C4—522no—
619C2×C4—522no—
620C2×C4—522no—
621C2×C4—522no—
622C2×C4—522no—
623C2×C4—522no—
624C2×C4—522no—
625C2×C4—522no—
626C2×C4—522no—
627C2×C4—522no—
628C2×C4—522no—
629C2×C4—522no—
630C2×C4—522no—
631C2×C4—522no—
632C2×C4—522no—
633C2×C4—522no—
634C2×C4—522no—
635C2×C4—522no—
636C2×C4—522no—
637C2×C4—522no—
638C2×C4—522no—
639C2×C4#8818014yes—
640C2×C4C2×C22⋊Dic1314yes—
641C2×C4C2×C22⋊Dic1314yes—
642C2×C4C2×C22⋊Dic1314yes—
643C22—24no—
644C22—24no—
645C22—24no—
646C22—28no—
647C22—28no—
648C22—28no—
649C22—24no—
650C22—24no—
651C22—28no—
652C22—24no—
653C22#1171864218yescomplemented
654C22C2×#8814311yescharacteristic
655C22C2×#8814811yescharacteristic
656C22#1171921212yes—
657C22C2×#8815011yescharacteristic
658C22#1171921612yes—
659C22C2×#8815211yescharacteristic
660C22#1171921812yes—
661C22#1171921912yes—
662C22#1171922012yes—
663C22#1171922012yes—
664C22C2×#8818011yescharacteristic
665C22C2×#8818011yescharacteristic
666C22#1171949612yes—
667C22#1171949612yes—
668C22C2×D4×Dic1311yescharacteristic
669C22#1171950311yescharacteristic
670C22D4×C22⋊D1312yes—
671C22#1171951112yes—
672C22C2×Q8×Dic1311yescharacteristic
673C22#1171951711yescharacteristic
674C22Q8×C22⋊D1312yes—
675C22#1171952212yes—
676C22C22×C22⋊Dic1311yescharacteristic
677C4—24no—
678C4—24no—
679C4—24no—
680C4—24no—
681C4—42no—
682C4—42no—
683C4—524no—
684C4—524no—
685C4—1042no—
686C4—1042no—
687C2—28no—
688C2#1311721911yescharacteristic
689C2C2×#1171864211yescharacteristic
690C2#1311743911yescharacteristic
691C2D4×C22⋊Dic1311yescharacteristic
692C2Q8×C22⋊Dic1311yescharacteristic
693C2#1311770511yescharacteristic
694C2#1311771311yescharacteristic
695C2#1311857112yes—
696C2#1311864512yes—
697C2#1311897112yes—
698C2#1311909112yes—
subgroupG/H
center, FrattiniC24C23×D13
commutatorC23×C13C23×C4
FittingC23×C13×C4⋊C4C2
socle, cosocleC24×C13C24
prime radicalC25×C13C23
hypercenterC23×C4⋊C4D13
hypocenterC13#13882
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×#11718642C2semidirect
4. #13113104C2semidirect
5. #13113089C2semidirect
6. #13113068C2semidirect
16. C22×C13×C4⋊C4C4semidirect
192. C13×C4⋊C4C22⋊C4semidirect
310. C22×C4⋊C4Dic13semidirect
343. C22×C13#387semidirect
541. C4⋊C4C22⋊Dic13semidirect
547. C13#13882semidirect
653. C22#11718642semidirect

Maximal subgroups

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

subgroupindex
C2×#117186422
C2×#117188732
C2×C4×C22⋊Dic132
#131131042
#131130892
#131130682
#131130592
C23×C13×C4⋊C42
#1388213