Finite Group Databasebeta

← C4×#11718709 #15869404

Subgroups — C4×#11718709 #15869404

Order 3328.

1138 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11718709C211yesmaximal, characteristic
2C2×C4×#6106C211yesmaximal, characteristic, complemented
3C22×C4×#1055C211yesmaximal, characteristic, complemented
4C4×#88184C211yesmaximal, characteristic
5#13115693C211yesmaximal, characteristic, complemented
6#13115561C211yesmaximal, characteristic, complemented
7#13115518C211yesmaximal, characteristic, complemented
8#13115515C211yesmaximal, characteristic, complemented
9#13115262C211yesmaximal, characteristic
10#13115260C211yesmaximal, characteristic, complemented
11#13114859C211yesmaximal, characteristic, complemented
12C4×#88048C211yesmaximal, characteristic, complemented
13C4×#88075C211yesmaximal, characteristic, complemented
14C4×#88049C211yesmaximal, characteristic, complemented
15C4×C13×C22⋊Q8C211yesmaximal, characteristic, complemented
16C2×C13×C22⋊Q8C2211yescharacteristic
17C2×C4×Q8×C13C2211yescharacteristic
18C22×C42×C13C2211yescharacteristic
19C22×#6106C2211yescharacteristic
20C2×#88184C2211yescharacteristic
21C2×C4×C22⋊D13—21no—
22C23×#1055C2211yescharacteristic
23C23×#1055C2211yescharacteristic
24C2×C4×D52C2211yescharacteristic
25C13×#391C2211yescharacteristic
26C13×#389C2211yescharacteristic
27C13×#387—21no—
28C13×#385—21no—
29C13×#380C2211yescharacteristic
30C4×C13×C4⋊C4—21no—
31C4×C13×C4⋊C4C2211yescharacteristic
32C4×C13×C22⋊C4—21no—
33C2×#88075C2211yescharacteristic
34C2×#88075C2211yescharacteristic
35C2×#88075C2211yescharacteristic
36#11718874—21no—
37#11718873C2211yescharacteristic
38#11718709C418yesdirect product factor
39C4×#6106—24no—
40C2×#88049C2211yescharacteristic
41C2×#88049C2211yescharacteristic
42C2×#88049C2211yescharacteristic
43C2×#88048C2211yescharacteristic
44C2×#88048C2211yescharacteristic
45C2×#88048C2211yescharacteristic
46#11718601—21no—
47#11718600C2211yescharacteristic
48C4×#6103—21no—
49C4×C4⋊Dic13C2211yescharacteristic
50#11718589C2211yescharacteristic
51C2×C4×#1055—24no—
52C2×C4×#1055C2211yescharacteristic
53C2×C4×#1055C2211yescharacteristic
54C2×C4×#1055C2211yescharacteristic
55C2×C4×#1055C2211yescharacteristic
56#11718121C2211yescharacteristic
57#11718121C2211yescharacteristic
58#11718121C2211yescharacteristic
59#11718121C2211yescharacteristic
60#11718121C2211yescharacteristic
61#11718121C2211yescharacteristic
62C22×Q8×C13C2311yescharacteristic
63C23×C4×C13D411yescharacteristic
64C23×C4×C13D411yescharacteristic
65C23×C4×C13C2311yescharacteristic
66C22×C22⋊D13—21no—
67C22×D52C2311yescharacteristic
68C22×C4×D13—21no—
69C13×C22⋊Q8—22no—
70C13×C22⋊Q8C2×C414yescomplemented
71C4×Q8×C13—22no—
72C4×Q8×C13—22no—
73C2×C13×C4⋊C4—21no—
74C2×C13×C4⋊C4—21no—
75C2×C13×C4⋊C4—21no—
76C2×C13×C4⋊C4C2311yescharacteristic
77C2×C13×C4⋊C4C2311yescharacteristic
78C2×C13×C4⋊C4C2311yescharacteristic
79C2×C13×C22⋊C4—21no—
80C2×C13×C22⋊C4—21no—
81C2×C42×C13—22no—
82C2×C42×C13—22no—
83C2×C42×C13—21no—
84C2×C42×C13—21no—
85C2×C42×C13D411yescharacteristic
86C2×C42×C13D411yescharacteristic
87C2×C42×C13C2311yescharacteristic
88C2×C42×C13C2311yescharacteristic
89C2×C22⋊Dic13—21no—
90C2×#6106—22no—
91C2×#6106—22no—
92C2×#6106C2×C414yescomplemented
93#88184—22no—
94#88184C2×C414yes—
95C4×C22⋊D13—44no—
96C2×#6103—21no—
97C2×#6103—21no—
98C2×#6103—21no—
99C2×#6103—21no—
100C2×C4⋊Dic13C2311yescharacteristic
101C2×C4⋊Dic13C2311yescharacteristic
102C2×C4⋊Dic13C2311yescharacteristic
103C2×#6101—21no—
104C2×C4×Dic13—21no—
105C22×#1055—22no—
106C22×#1055—22no—
107C22×#1055—22no—
108C22×#1055—22no—
109C22×#1055—22no—
110C22×#1055C2×C414yescomplemented
111C22×#1055C2311yescharacteristic
112C22×#1055C2311yescharacteristic
113C22×#1055C2311yescharacteristic
114C22×#1055C2311yescharacteristic
115C4×D52—22no—
116C4×D52—22no—
117C13×#95—21no—
118C13×#95—21no—
119C13×#95—21no—
120C13×#95—21no—
121C13×#95—21no—
122#88075—22no—
123#88075—22no—
124#88075C2×C414yescomplemented
125#88071—21no—
126#88071—21no—
127#88071—21no—
128#88049—22no—
129#88049—22no—
130#88049C2×C414yescomplemented
131#88048—22no—
132#88048—22no—
133#88048C2×C414yescomplemented
134C4×#1055—22no—
135C4×#1055—22no—
136C4×#1055—22no—
137C4×#1055D414yescomplemented
138C4×#465—131nomaximal, Sylow
139C24×C13C2×D411yescharacteristic
140C23×D13—21no—
141C2×Q8×C13—21no—
142C2×Q8×C13—21no—
143C2×Q8×C13—21no—
144C2×Q8×C13—21no—
145C2×Q8×C13—21no—
146C2×Q8×C13C22×C412yes—
147C22×C4×C13—22no—
148C22×C4×C13—22no—
149C22×C4×C13—22no—
150C22×C4×C13—22no—
151C22×C4×C13—22no—
152C22×C4×C13—21no—
153C22×C4×C13—21no—
154C22×C4×C13—21no—
155C22×C4×C13—21no—
156C22×C4×C13—21no—
157C22×C4×C13—21no—
158C22×C4×C13—21no—
159C22×C4×C13—21no—
160C22×C4×C13SD1614yescomplemented
161C22×C4×C13C22×C412yes—
162C22×C4×C13C2×D411yescharacteristic
163C22×C4×C13C2×D411yescharacteristic
164C22×C4×C13C2×D411yescharacteristic
165C22×C4×C13C2×D411yescharacteristic
166C22×C4×C13C2×D411yescharacteristic
167C22×C4×C13#4112yes—
168C22×C4×C13C2411yescharacteristic
169C2×C22⋊D13—24no—
170C2×C22⋊D13—42no—
171C2×C22⋊D13—42no—
172C22×Dic13—21no—
173C22×Dic13—21no—
174C22×Dic13—21no—
175C2×D52—21no—
176C2×D52—21no—
177C2×D52—21no—
178C2×D52—21no—
179C2×D52—21no—
180C2×D52C22×C412yes—
181C2×C4×D13—42no—
182C2×C4×D13—42no—
183C2×C4×D13—42no—
184C13×C4⋊C4—24no—
185C13×C4⋊C4—21no—
186C13×C4⋊C4—21no—
187C13×C4⋊C4—21no—
188C13×C4⋊C4—21no—
189C13×C4⋊C4—21no—
190C13×C4⋊C4—42no—
191C13×C4⋊C4—42no—
192C13×C4⋊C4C22×C412yes—
193C13×C22⋊C4—24no—
194C13×C22⋊C4—42no—
195C42×C13—22no—
196C42×C13—22no—
197C42×C13—21no—
198C42×C13—21no—
199C42×C13—42no—
200C42×C13—42no—
201C42×C13C2×D412yes—
202C42×C13#4112yes—
203C22⋊Dic13—42no—
204#6106—28no—
205#6103—24no—
206#6103—42no—
207#6103—42no—
208#6103—42no—
209C4⋊Dic13—21no—
210C4⋊Dic13—21no—
211C4⋊Dic13—21no—
212C4⋊Dic13—21no—
213C4⋊Dic13—21no—
214C4⋊Dic13C22×C412yes—
215#6101—42no—
216C4×Dic13—42no—
217C2×#1055—28no—
218C2×#1055—21no—
219C2×#1055—21no—
220C2×#1055—21no—
221C2×#1055—21no—
222C2×#1055—21no—
223C2×#1055—21no—
224C2×#1055—28no—
225C2×#1055C22×C412yes—
226C2×#1055C22×C412yes—
227C2×#1055C2×D412yes—
228C2×#1055C2×D412yes—
229C2×#1055#4112yes—
230C2×#1055#4112yes—
231C2×#465—131no—
232C2×C4×SD16—131no—
233C22×C4×C8—131no—
234C4×C22⋊Q8D1311yescharacteristic, complemented
235C4×#121—131no—
236#1968—131no—
237#1941—131no—
238#1934—131no—
239#1933—131no—
240#1893—131no—
241#1892—131no—
242#1807—131no—
243C4×#106—131no—
244C4×#103—131no—
245C4×#102—131no—
246C23×C13—21no—
247C23×C13—21no—
248C23×C13—21no—
249C23×C13—21no—
250C23×C13C4×D412yes—
251C23×C13C2×SD1612yes—
252C23×C13#13512yes—
253C23×C13C22×D411yescharacteristic
254C22×D13—22no—
255C22×D13—41no—
256C22×D13—41no—
257C22×D13—41no—
258C22×D13—41no—
259C22×D13—41no—
260C22×D13—41no—
261Q8×C13—22no—
262Q8×C13—22no—
263Q8×C13—41no—
264Q8×C13—41no—
265C2×C4×C13—28no—
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×C13—22no—
275C2×C4×C13—22no—
276C2×C4×C13—22no—
277C2×C4×C13—22no—
278C2×C4×C13—28no—
279C2×C4×C13—22no—
280C2×C4×C13—22no—
281C2×C4×C13—41no—
282C2×C4×C13—41no—
283C2×C4×C13—41no—
284C2×C4×C13—41no—
285C2×C4×C13—41no—
286C2×C4×C13—41no—
287C2×C4×C13—41no—
288C2×C4×C13—41no—
289C2×C4×C13—41no—
290C2×C4×C13—41no—
291C2×C4×C13C4×D412yes—
292C2×C4×C13#12112yes—
293C2×C4×C13#12112yes—
294C2×C4×C13C2×SD1612yes—
295C2×C4×C13C2×SD1612yes—
296C2×C4×C13#13512yes—
297C2×C4×C13#13512yes—
298C2×C4×C13C23×C411yescharacteristic
299C2×C4×C13C22×D411yescharacteristic
300C2×C4×C13C2×#4111yescharacteristic
301C2×C4×C13C2×#4111yescharacteristic
302C2×C4×C13C2×#4111yescharacteristic
303C2×C4×C13C2×#4111yescharacteristic
304C22⋊D13—48no—
305C2×Dic13—22no—
306C2×Dic13—41no—
307C2×Dic13—41no—
308C2×Dic13—41no—
309C2×Dic13—41no—
310C2×Dic13—41no—
311C2×Dic13—41no—
312C2×Dic13—41no—
313C2×Dic13—41no—
314D52—22no—
315D52—22no—
316D52—41no—
317D52—41no—
318C4×D13—84no—
319#1055—22no—
320#1055—22no—
321#1055—22no—
322#1055C4×D414yescomplemented
323C22×SD16—131no—
324C23×C8—131no—
325C23×C8—131no—
326C2×C22⋊Q8C2×D1311yescharacteristic
327C2×#121—131no—
328C2×C4×Q8C2×D1311yescharacteristic
329C2×C4×D4—131no—
330C2×C4×D4—261no—
331C22×C42C2×D1311yescharacteristic
332#465—138no—
333C4×SD16—264no—
334C2×#106—131no—
335C2×#106—131no—
336C2×#106—131no—
337C2×#103—131no—
338C2×#103—131no—
339C2×#103—131no—
340C2×#102—131no—
341C2×#102—131no—
342C2×#102—131no—
343C2×C4×C8—131no—
344C2×C4×C8—131no—
345C2×C4×C8—131no—
346C2×C4×C8—131no—
347C2×C4×C8—264no—
348#391C2×D1311yescharacteristic
349#390—131no—
350#389—131no—
351#389C2×D1311yescharacteristic
352#388—261no—
353#387—21no—
354#386—261no—
355#385—21no—
356#380—131no—
357#380C2×D1311yescharacteristic
358C4×C4⋊C4—21no—
359C4×C4⋊C4—131no—
360C4×C4⋊C4C2×D1311yescharacteristic
361C4×C22⋊C4—21no—
362C4×C22⋊C4—261no—
363#340—131no—
364#340—131no—
365#340—131no—
366#340—131no—
367#340—131no—
368#340—131no—
369C22×C13—22no—
370C22×C13—22no—
371C22×C13—22no—
372C22×C13—22no—
373C22×C13—22no—
374C22×C13—22no—
375C22×C13C4×SD1614yescomplemented
376C22×C13C2×C4×D411yescharacteristic
377C22×C13C2×#12111yescharacteristic
378C22×C13#53211yescharacteristic
379C22×C13C22×SD1611yescharacteristic
380C22×C13C2×#13511yescharacteristic
381C22×C13C2×#13511yescharacteristic
382C22×C13C2×#13511yescharacteristic
383C2×D13—42no—
384C2×D13—42no—
385C2×D13—42no—
386C2×D13—81no—
387C2×D13—81no—
388C2×D13—81no—
389C2×D13—81no—
390C4×C13—22no—
391C4×C13—22no—
392C4×C13—22no—
393C4×C13—22no—
394C4×C13—42no—
395C4×C13—42no—
396C4×C13—81no—
397C4×C13—81no—
398C4×C13#46514yescomplemented
399C4×C13C2×C4×D411yescharacteristic
400C4×C13C4×#4111yescharacteristic
401C4×C13#52511yescharacteristic
402C4×C13#52911yescharacteristic
403Dic13—42no—
404Dic13—81no—
405Dic13—81no—
406C22×Q8C22×D1311yescharacteristic
407C22×D4—131no—
408C22×D4—261no—
409C23×C4—261no—
410C23×C4C22⋊D1311yescharacteristic
411C23×C4C22⋊D1311yescharacteristic
412C23×C4C22×D1311yescharacteristic
413C2×SD16—134no—
414C2×SD16—262no—
415C2×SD16—262no—
416C22×C8—131no—
417C22×C8—134no—
418C22×C8—131no—
419C22×C8—131no—
420C22×C8—131no—
421C22×C8—262no—
422C22×C8—262no—
423C22×C8—262no—
424C22×C8—262no—
425C22×C8—262no—
426C22⋊Q8—22no—
427C22⋊Q8C4×D1314yescomplemented
428#121—134no—
429#121—262no—
430C4×Q8—22no—
431C4×Q8—22no—
432C4×D4—262no—
433C4×D4—262no—
434C4×D4—524no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—131no—
439C2×C4⋊C4—131no—
440C2×C4⋊C4—131no—
441C2×C4⋊C4—261no—
442C2×C4⋊C4C22×D1311yescharacteristic
443C2×C4⋊C4C22×D1311yescharacteristic
444C2×C4⋊C4C22×D1311yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—261no—
448C2×C22⋊C4—261no—
449C2×C22⋊C4—261no—
450C2×C22⋊C4—261no—
451C2×C22⋊C4—261no—
452C2×C42—22no—
453C2×C42—22no—
454C2×C42—21no—
455C2×C42—21no—
456C2×C42—261no—
457C2×C42C22⋊D1311yescharacteristic
458C2×C42C22⋊D1311yescharacteristic
459C2×C42C22×D1311yescharacteristic
460C2×C42C22×D1311yescharacteristic
461#106—134no—
462#106—262no—
463#106—262no—
464#103—134no—
465#103—262no—
466#103—262no—
467#102—134no—
468#102—262no—
469#102—262no—
470C4×C8—134no—
471C4×C8—262no—
472C4×C8—262no—
473C4×C8—262no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95—261no—
480#95—261no—
481#95—261no—
482C2×C13—24no—
483C2×C13C4×#12111yescharacteristic
484C2×C13C2×C4×SD1611yescharacteristic
485C2×C13C4×#13511yescharacteristic
486C2×C13C2×#46511yescharacteristic
487C2×C13#305011yescharacteristic
488C2×C13#316711yescharacteristic
489C2×C13#316811yescharacteristic
490D13—82no—
491C24—261no—
492C24C2×C22⋊D1311yescharacteristic
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8C2×C4×D1312yes—
499C2×D4—132no—
500C2×D4—264no—
501C2×D4—261no—
502C2×D4—261no—
503C2×D4—261no—
504C2×D4—261no—
505C2×D4—261no—
506C2×D4—522no—
507C2×D4—522no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—261no—
522C22×C4—261no—
523C22×C4—261no—
524C22×C4—522no—
525C22×C4—522no—
526C22×C4—522no—
527C22×C4#610614yescomplemented
528C22×C4C2×C4×D1312yes—
529C22×C4#612712yes—
530C22×C4C2×C22⋊D1311yescharacteristic
531C22×C4C2×C22⋊D1311yescharacteristic
532C22×C4C2×C22⋊D1311yescharacteristic
533C22×C4C2×C22⋊D1311yescharacteristic
534C22×C4C2×C22⋊D1311yescharacteristic
535C22×C4C23×D1311yescharacteristic
536SD16—268no—
537C2×C8—132no—
538C2×C8—132no—
539C2×C8—132no—
540C2×C8—132no—
541C2×C8—132no—
542C2×C8—132no—
543C2×C8—268no—
544C2×C8—268no—
545C2×C8—261no—
546C2×C8—261no—
547C2×C8—261no—
548C2×C8—261no—
549C2×C8—261no—
550C2×C8—261no—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—132no—
560C4⋊C4—261no—
561C4⋊C4—261no—
562C4⋊C4—261no—
563C4⋊C4—261no—
564C4⋊C4—261no—
565C4⋊C4—522no—
566C4⋊C4C2×C4×D1312yes—
567C22⋊C4—24no—
568C22⋊C4—42no—
569C22⋊C4—264no—
570C22⋊C4—522no—
571C22⋊C4—522no—
572C22⋊C4—522no—
573C22⋊C4—522no—
574C42—22no—
575C42—22no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—42no—
580C42—522no—
581C42D4×D1312yes—
582C42#612912yes—
583C13C4×#46511yescharacteristic, complemented, Sylow
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—262no—
589C23—521no—
590C23—521no—
591C23—521no—
592C23—521no—
593C23—521no—
594C23—521no—
595C23C4×C22⋊D1312yes—
596C23C2×#610612yes—
597C23#8820412yes—
598C23C22×C22⋊D1311yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—262no—
604D4—262no—
605D4—528no—
606D4—521no—
607D4—521no—
608C2×C4—28no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—28no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—262no—
635C2×C4—521no—
636C2×C4—521no—
637C2×C4—521no—
638C2×C4—521no—
639C2×C4—521no—
640C2×C4—521no—
641C2×C4—521no—
642C2×C4—521no—
643C2×C4—1044no—
644C2×C4C4×C22⋊D1312yes—
645C2×C4#8819312yes—
646C2×C4#8819312yes—
647C2×C4C2×#610612yes—
648C2×C4C2×#610612yes—
649C2×C4#8820412yes—
650C2×C4#8820412yes—
651C2×C4C22×C4×D1311yescharacteristic
652C2×C4C2×#612711yescharacteristic
653C2×C4C2×D4×D1311yescharacteristic
654C2×C4C2×#612911yescharacteristic
655C2×C4#41×D1311yescharacteristic
656C2×C4#41×D1311yescharacteristic
657C8—134no—
658C8—262no—
659C8—262no—
660C8—262no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—522no—
668C22—522no—
669C22—522no—
670C22—1041no—
671C22—1041no—
672C22—1041no—
673C22—1041no—
674C22C4×#610614yescomplemented
675C22C2×C4×C22⋊D1311yescharacteristic
676C22C2×#8819311yescharacteristic
677C22C22×#610611yescharacteristic
678C22C2×#8820411yescharacteristic
679C22C2×#8820411yescharacteristic
680C22C2×#8820411yescharacteristic
681C22#1171953711yescharacteristic
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—42no—
687C4—42no—
688C4—81no—
689C4—81no—
690C4—522no—
691C4—1041no—
692C4—1041no—
693C4#1171870914yesdirect product factor
694C4C4×#612911yescharacteristic
695C4#1171924311yescharacteristic
696C4C4×D4×D1311yescharacteristic
697C4#1171925211yescharacteristic
698C2—24no—
699C2—1042no—
700C2C4×#8819311yescharacteristic
701C2C2×C4×#610611yescharacteristic
702C2C4×#8820411yescharacteristic
703C2C2×#1171870911yescharacteristic
704C2#1312441411yescharacteristic
705C2#1312539611yescharacteristic
706C2#1312540011yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D13
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC4×C13×C22⋊Q8C2
socleC23×C13C22×D4
prime radicalC2×#88184C22
cosocleC22×C4×C13C24
hypercenterC4×C22⋊Q8D13
hypocenterC13C4×#465
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C4×C22⋊Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×#6106C2semidirect
3. C22×C4×#1055C2semidirect
5. #13115693C2semidirect
6. #13115561C2semidirect
7. #13115518C2semidirect
8. #13115515C2semidirect
10. #13115260C2semidirect
11. #13114859C2semidirect
12. C4×#88048C2semidirect
13. C4×#88075C2semidirect
14. C4×#88049C2semidirect
15. C4×C13×C22⋊Q8C2semidirect
38. #11718709C4direct (N × H)
70. C13×C22⋊Q8C2×C4semidirect
92. C2×#6106C2×C4semidirect
110. C22×#1055C2×C4semidirect
124. #88075C2×C4semidirect
130. #88049C2×C4semidirect
133. #88048C2×C4semidirect
137. C4×#1055D4semidirect
160. C22×C4×C13SD16semidirect
234. C4×C22⋊Q8D13semidirect
322. #1055C4×D4semidirect
375. C22×C13C4×SD16semidirect
398. C4×C13#465semidirect
427. C22⋊Q8C4×D13semidirect
527. C22×C4#6106semidirect
583. C13C4×#465semidirect
674. C22C4×#6106semidirect
693. C4#11718709direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117187092
C2×C4×#61062
C22×C4×#10552
C4×#881842
#131156932
#131155612
#131155182
#131155152
#131152622
#131152602
#131148592
C4×#880482
C4×#880752
C4×#880492
C4×C13×C22⋊Q82
C4×#46513