Finite Group Databasebeta

← #30620372

Subgroups — #30620372

Order 15616.

1262 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#11758213C211yesmaximal, characteristic, complemented
2C4×D4×#6923C211yesmaximal, characteristic, complemented
3#21462004C211yesmaximal, characteristic, complemented
4#21461994C211yesmaximal, characteristic, complemented
5#21461836C212yesmaximal, complemented
6#21461800C212yesmaximal, complemented
7#21461726C212yesmaximal, complemented
8#21461692C211yesmaximal, characteristic, complemented
9C4×#14519842C211yesmaximal, characteristic, complemented
10C2×#16840632C212yesmaximal, complemented
11#21459385C211yesmaximal, characteristic
12C22×#11758213C2212yes—
13C2×D4×#6923—21no—
14C22×C4×#6923C2212yes—
15#16840796—21no—
16#16840791—22no—
17D4×#92420—21no—
18#16840766C2211yescharacteristic
19C2×#14519842C2211yescharacteristic
20C2×#14519842C2211yescharacteristic
21C2×#14519842C2212yes—
22#16840733C2212yes—
23C4×#11758213C2211yescharacteristic
24C4⋊C4×#6923—21no—
25C4×C4⋊#6923C2211yescharacteristic
26C22⋊C4×#6923—22no—
27C4×C22⋊#6923C2212yes—
28C42×#6923C2211yescharacteristic
29#16840632C2212yes—
30#16840632C2212yes—
31#16840632C2211yescharacteristic
32#16840632C2211yescharacteristic
33#16840632C2212yes—
34#16840632C2212yes—
35#16840632C2212yes—
36#16840485C411yescharacteristic, complemented
37#16840478C411yescharacteristic, complemented
38#16840460C412yescomplemented
39#16840454C412yescomplemented
40#16840450—21no—
41#16840439—22no—
42#16840416C411yescharacteristic, complemented
43#16840407—21no—
44#16840317C2211yescharacteristic
45#16840298—22no—
46#16840297—21no—
47#16840275C2212yes—
48C4×#11758226C2211yescharacteristic
49C4×#11758224—21no—
50C4×D4×D61C2211yescharacteristic
51C2×#14519735C2212yes—
52C61×#554C411yescharacteristic, complemented
53C23×#6923—22no—
54C2×#11758213—24no—
55C2×#11758213—22no—
56C2×#11758213—42no—
57C2×#11758213C2311yescharacteristic
58C2×#11758213C2312yes—
59C2×#11758213C2311yescharacteristic
60C22×#92420—22no—
61D4×#6923—28no—
62C2×C4⋊#6923—21no—
63C2×C22⋊#6923—22no—
64C2×C4×#6923—21no—
65C2×C4×#6923—24no—
66C2×C4×#6923—22no—
67C2×C4×#6923—21no—
68C2×C4×#6923—42no—
69C2×C4×#6923C2312yes—
70C2×C4×#6923C2311yescharacteristic
71C2×C4×#6923C2311yescharacteristic
72C4⋊#92420—21no—
73C4⋊#92420—21no—
74#14519842—22no—
75#14519842—22no—
76#14519842—42no—
77#14519834—22no—
78C22⋊#92420—22no—
79#14519832—21no—
80C4×#92420—21no—
81(C2×#6923)⋊C4—22no—
82(C2×#6923)⋊C4—21no—
83C2×#11758226C2311yescharacteristic
84C2×#11758224—21no—
85C2×D4×D61D411yescharacteristic
86C22×C4×D61C2312yes—
87#14519777C2×C411yescharacteristic, complemented
88#14519772—22no—
89#14519772—22no—
90#14519772—22no—
91#14519768—22no—
92#14519768C2×C412yescomplemented
93#14519766—22no—
94#14519765—21no—
95#14519762—22no—
96#14519762—22no—
97#14519761—22no—
98#14519761—22no—
99#14519757—21no—
100#14519757—21no—
101#14519753—21no—
102#14519753C2×C412yescomplemented
103#14519752—21no—
104#14519752C2×C412yescomplemented
105#14519751—22no—
106#14519751C2×C412yescomplemented
107#14519747—22no—
108Q8×Dic61—21no—
109Q8×Dic61C2×C411yescharacteristic, complemented
110C4×Dic122—21no—
111#14519742—21no—
112C4×D244—21no—
113C4×D244C2×C411yescharacteristic
114C4×D244C2×C411yescharacteristic, complemented
115D4×Dic61D411yescharacteristic
116#14519739—21no—
117#14519739—22no—
118#14519739C2×C411yescharacteristic, complemented
119#14519739D411yescharacteristic
120C4×C22⋊D61—22no—
121C4×C22⋊D61C2×C412yes—
122#14519737—22no—
123#14519737D412yes—
124#14519735—22no—
125#14519735—22no—
126#14519735—21no—
127#14519735—21no—
128#14519735C2×C412yescomplemented
129#14519735C2×C412yescomplemented
130#14519735C2311yescharacteristic
131#14519735C2312yes—
132#14519733—22no—
133C2×C4⋊Dic61C2×C412yescomplemented
134C4⋊C4×D61D411yescharacteristic
135C2×#11758198—22no—
136C22⋊C4×D61D412yes—
137C2×C4×Dic61—22no—
138C42×D61—21no—
139C42×D61C2311yescharacteristic
140C4⋊Q8×C61C2×C411yescharacteristic, complemented
141#125×C61—21no—
142C22⋊Q8×C61—22no—
143C22⋊Q8×C61C2×C412yescomplemented
144C4×Q8×C61C2×C411yescharacteristic, complemented
145C4×D4×C61—21no—
146C4×D4×C61C2×C411yescharacteristic
147C2×C4⋊C4×C61C2×C412yescomplemented
148C23×D61C2×D412yes—
149C22×#6923—21no—
150C22×#6923—28no—
151C22×#6923—21no—
152C22×#6923—22no—
153C22×#6923—44no—
154C22×#6923—44no—
155C2×Q8×C61—21no—
156C2×Q8×C61C22×C411yescharacteristic
157C2×D4×C61C22⋊C411yescharacteristic
158C22×C4×C61—22no—
159C22×C4×C61C22×C412yes—
160C2×C22⋊D61—22no—
161C2×C22⋊D61C22⋊C412yes—
162C22×Dic61—22no—
163C22×Dic61C2×D412yes—
164#11758226—21no—
165#11758226—21no—
166#11758226—21no—
167#11758226—21no—
168#11758224—44no—
169D4×D61—24no—
170C2×D244—21no—
171C2×D244—22no—
172C2×D244C22⋊C411yescharacteristic
173C2×D244C22×C411yescharacteristic
174C2×C4×D61—22no—
175C2×C4×D61—22no—
176C2×C4×D61—22no—
177C2×C4×D61—22no—
178C2×C4×D61—21no—
179C2×C4×D61—21no—
180C2×C4×D61—21no—
181C2×C4×D61C22×C412yes—
182C2×C4×D61C2×D412yes—
183C2×C4×D61C2×D411yescharacteristic
184C2×C4×D61C2×D412yes—
185C2×C4×D61C2×D411yescharacteristic
186C2×C4×D61C2411yescharacteristic
187C2×Dic122—21no—
188C22⋊#6923—28no—
189C2×#92420—21no—
190C2×#92420—21no—
191C2×#92420—22no—
192C2×#92420—44no—
193C4⋊#6923—24no—
194C4×#6923—24no—
195C4×#6923—21no—
196C4×#6923—22no—
197C4×#6923—21no—
198C4×#6923—22no—
199C4×#6923—21no—
200C4×#6923—44no—
201C4×#6923—42no—
202C4×#6923#4112yescomplemented
203#11758213—21no—
204#11758213—21no—
205#11758213—22no—
206#11758213—22no—
207#11758213—21no—
208#11758213—44no—
209#11758213#4112yescomplemented
210C4⋊C4×C61—22no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61C22⋊C411yescharacteristic
215C4⋊C4×C61C22×C411yescharacteristic
216C4⋊C4×C61C22×C412yes—
217C22⋊C4×C61—22no—
218C22⋊C4×C61C22⋊C412yes—
219C42×C61—21no—
220C42×C61C22×C411yescharacteristic
221C22⋊Dic61C22⋊C412yes—
222#11758198—22no—
223#11758198—22no—
224#11758198—22no—
225#11758198—21no—
226#11758198—22no—
227#11758198—21no—
228#11758198—22no—
229#11758198—22no—
230#11758198—21no—
231#11758198C22⋊C412yes—
232#11758198C22⋊C412yes—
233C4⋊Dic61—22no—
234C4⋊Dic61—21no—
235C4⋊Dic61—21no—
236C4⋊Dic61—22no—
237C4⋊Dic61C22⋊C411yescharacteristic
238C4⋊Dic61C22×C411yescharacteristic
239C4⋊Dic61C22×C412yes—
240#11758196—22no—
241#11758196—22no—
242#11758196C22⋊C412yes—
243C4×Dic61—21no—
244C4×Dic61—22no—
245C4×Dic61—22no—
246C4×Dic61—21no—
247C4×Dic61—22no—
248C4×Dic61C22×C411yescharacteristic
249C4×Dic61C2×D411yescharacteristic
250C4×Dic61C2×D411yescharacteristic
251C23×C61C2×C22⋊C412yes—
252C22×D61—24no—
253C22×D61—22no—
254C22×D61—22no—
255C22×D61—21no—
256C22×D61—42no—
257C22×D61C2×C22⋊C412yes—
258C22×D61C22×D411yescharacteristic
259C2×#6923—22no—
260C2×#6923—22no—
261C2×#6923—22no—
262C2×#6923—22no—
263C2×#6923—24no—
264C2×#6923—416no—
265C2×#6923—41no—
266C2×#6923—42no—
267C2×#6923—42no—
268C2×#6923—41no—
269Q8×C61—21no—
270Q8×C61—21no—
271Q8×C61—81no—
272D4×C61#10414yescomplemented
273C2×C4×C61—22no—
274C2×C4×C61—22no—
275C2×C4×C61—21no—
276C2×C4×C61—22no—
277C2×C4×C61—21no—
278C2×C4×C61—82no—
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C2×C22⋊C412yes—
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C23×C411yescharacteristic
283C22⋊D61—24no—
284C22⋊D61—44no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—21no—
288C2×Dic61—22no—
289C2×Dic61—44no—
290C2×Dic61C2×C22⋊C412yes—
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C22×D411yescharacteristic
294D244—21no—
295D244—21no—
296D244—22no—
297D244—41no—
298D244—41no—
299D244—82no—
300C4×D61—22no—
301C4×D61—22no—
302C4×D61—22no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—41no—
308C4×D61—42no—
309C4×D61—41no—
310C4×D61—41no—
311C4×D61—81no—
312C4×D61C2×#4111yescharacteristic
313C4×D61C2×#4111yescharacteristic
314C4×D61H(5,𝔽2)11yescharacteristic
315C4×D612−1+411yescharacteristic
316Dic122—42no—
317#92420—22no—
318#92420—42no—
319#92420—41no—
320#22505—611nomaximal, Sylow
321C22×C61—22no—
322C22×C61—22no—
323C22×C61C2×#10414yes—
324C22×C61C22×C22⋊C411yescharacteristic
325C2×D61—21no—
326C2×D61—21no—
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—44no—
331C2×D61—44no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61#54611yescharacteristic
336C2×D61#54711yescharacteristic
337#6923—24no—
338#6923—42no—
339#6923—44no—
340C4×C61—22no—
341C4×C61—21no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—42no—
345C4×C61C2×#10412yes—
346C4×C61C4×#4111yescharacteristic
347C4×C61#52011yescharacteristic
348Dic61—22no—
349Dic61—21no—
350Dic61—21no—
351Dic61—42no—
352Dic61—41no—
353Dic61#54611yescharacteristic
354Dic61#54711yescharacteristic
355#3475—611no—
356D4×M16—611no—
357C42×D4—611no—
358#1994—611no—
359#1986—611no—
360#1896—612no—
361#1871—612no—
362#1826—612no—
363#1806—611no—
364C4×#104—611no—
365C2×#339—612no—
366C2×C61—24no—
367C2×C61#233911yescharacteristic
368C2×C61C22×#10411yescharacteristic
369C2×C61#290111yescharacteristic
370D61—21no—
371D61—21no—
372D61—42no—
373D61—81no—
374C22×M16—612no—
375#556—611no—
376#555—611no—
377#554#692311yescharacteristic, complemented
378#553—612no—
379#552—612no—
380#552—1221no—
381#551—1222no—
382#547—611no—
383#546—1221no—
384#533—611no—
385#529—1222no—
386#529—1221no—
387#525—612no—
388C4×#41—611no—
389C4×#41—1221no—
390C2×C4×D4—611no—
391C2×C4×D4—1221no—
392C2×#117—612no—
393C22×C42—612no—
394#436—1221no—
395#435—1222no—
396C8×D4—1221no—
397#423—611no—
398C2×#104—611no—
399C2×#104—611no—
400C2×#104—612no—
401#407—612no—
402C4×M16—611no—
403C4×C4⋊C4—611no—
404C4×C4⋊C4—1221no—
405C4×C22⋊C4—612no—
406C4×C22⋊C4—1222no—
407C43—611no—
408#339—612no—
409#339—611no—
410#339—612no—
411#339—612no—
412#339—612no—
413#339—612no—
414#339—611no—
415C61#2250511yescharacteristic, complemented, Sylow
416C2×#41—611no—
417C2×#41—1221no—
418C22×D4—611no—
419C23×C4—612no—
420C23×C4—1222no—
421C2×M16—611no—
422C2×M16—612no—
423C2×M16—611no—
424C2×M16—1222no—
425C2×M16—1224no—
426C2×M16—2442no—
427C22×C8—1222no—
428C4⋊Q8—611no—
429C4⋊Q8C2×#692311yescharacteristic, complemented
430#126—1222no—
431#126—1222no—
432#126—1222no—
433#125—21no—
434#125—612no—
435#125—1222no—
436#124—1221no—
437#124—1222no—
438#123—1222no—
439#123—1222no—
440#123—1222no—
441#123—1222no—
442C22⋊Q8—22no—
443C22⋊Q8—612no—
444C22⋊Q8—1221no—
445C22⋊Q8—1221no—
446C22⋊Q8—1221no—
447C22⋊Q8C2×#692312yescomplemented
448#121—612no—
449#121—612no—
450#121—1221no—
451#121—1222no—
452#120—1222no—
453C4×Q8—611no—
454C4×Q8—1221no—
455C4×Q8—1221no—
456C4×Q8—1221no—
457C4×Q8C2×#692311yescharacteristic, complemented
458C4×D4—21no—
459C4×D4—611no—
460C4×D4—612no—
461C4×D4—611no—
462C4×D4—612no—
463C4×D4—611no—
464C4×D4—611no—
465C4×D4—611no—
466C4×D4—1221no—
467C4×D4—1222no—
468C4×D4—1222no—
469C4×D4—1221no—
470C4×D4—1222no—
471C4×D4—1228no—
472C4×D4C2×#692311yescharacteristic
473#117—611no—
474#117—612no—
475#117—612no—
476#117—612no—
477#117—1221no—
478#117—1222no—
479#117—1221no—
480#117—1222no—
481#117—1222no—
482C2×C4⋊C4—611no—
483C2×C4⋊C4—612no—
484C2×C4⋊C4—1221no—
485C2×C4⋊C4C2×#692312yescomplemented
486C2×C22⋊C4—612no—
487C2×C22⋊C4—1222no—
488C2×C22⋊C4—1222no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—611no—
492C2×C42—612no—
493C2×C42—1221no—
494C2×C42—1224no—
495C2×C42—1222no—
496C2×C42—1221no—
497C2×C42—1221no—
498C2×C42—1222no—
499C2×C42—2442no—
500C4⋊C8—1221no—
501C4⋊C8—1221no—
502#104—1222no—
503#104—1222no—
504#104—2442no—
505C22⋊C8—1222no—
506C22⋊C8—1222no—
507#97—1221no—
508C4×C8—1221no—
509#95—1222no—
510#95—1221no—
511C24—612no—
512#41—1221no—
513#41—1221no—
514#41—1221no—
515#41—1221no—
516#41—2444no—
517C2×Q8—21no—
518C2×Q8—1221no—
519C2×Q8C22×#692311yescharacteristic
520C2×D4—612no—
521C2×D4—611no—
522C2×D4—611no—
523C2×D4—1222no—
524C2×D4—1221no—
525C2×D4—1224no—
526C2×D4—1222no—
527C2×D4C22⋊#692311yescharacteristic
528C22×C4—22no—
529C22×C4—611no—
530C22×C4—612no—
531C22×C4—612no—
532C22×C4—612no—
533C22×C4—611no—
534C22×C4—612no—
535C22×C4—611no—
536C22×C4—1222no—
537C22×C4—1222no—
538C22×C4—1222no—
539C22×C4—1222no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1222no—
545C22×C4—1228no—
546C22×C4—1222no—
547C22×C4—1221no—
548C22×C4—2444no—
549C22×C4—2444no—
550C22×C4C22×#692312yes—
551M16—612no—
552M16—1221no—
553M16—1221no—
554M16—1222no—
555M16—1222no—
556M16—1221no—
557M16—2444no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8—1222no—
561C2×C8—2444no—
562C4⋊C4—22no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—22no—
566C4⋊C4—612no—
567C4⋊C4—611no—
568C4⋊C4—611no—
569C4⋊C4—612no—
570C4⋊C4—1222no—
571C4⋊C4—1222no—
572C4⋊C4—1221no—
573C4⋊C4—1222no—
574C4⋊C4—1224no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4C22⋊#692311yescharacteristic
578C4⋊C4C22×#692311yescharacteristic
579C4⋊C4C22×#692312yes—
580C22⋊C4—22no—
581C22⋊C4—612no—
582C22⋊C4—612no—
583C22⋊C4—612no—
584C22⋊C4—1221no—
585C22⋊C4—1222no—
586C22⋊C4—1221no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1228no—
592C22⋊C4—1221no—
593C22⋊C4—1222no—
594C22⋊C4C22⋊#692312yes—
595C42—21no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—612no—
600C42—1221no—
601C42—1222no—
602C42—1222no—
603C42—1222no—
604C42—1221no—
605C42—1221no—
606C42—1221no—
607C42—1222no—
608C42—1222no—
609C42—1221no—
610C42—1224no—
611C42—2444no—
612C42—2442no—
613C42C22×#692311yescharacteristic
614C23—611no—
615C23—612no—
616C23—1222no—
617C23—1222no—
618C23—1224no—
619C23—1221no—
620C23—2442no—
621C23C2×C22⋊#692312yes—
622Q8—21no—
623Q8—21no—
624Q8—81no—
625Q8—2442no—
626D4—1224no—
627D4—1222no—
628D4—1221no—
629D4—1221no—
630D4—4882no—
631D4—2441no—
632D4—2441no—
633D4—2444no—
634D4#1451984214yescomplemented
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—82no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—611no—
645C2×C4—611no—
646C2×C4—611no—
647C2×C4—611no—
648C2×C4—612no—
649C2×C4—1222no—
650C2×C4—1222no—
651C2×C4—1222no—
652C2×C4—1222no—
653C2×C4—1222no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1222no—
660C2×C4—1222no—
661C2×C4—1222no—
662C2×C4—1224no—
663C2×C4—1221no—
664C2×C4—1222no—
665C2×C4—4881no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—24416no—
670C2×C4—2442no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2442no—
674C2×C4—2444no—
675C2×C4—2442no—
676C2×C4C2×C22⋊#692311yescharacteristic
677C2×C4C2×C22⋊#692312yes—
678C2×C4C2×C22⋊#692311yescharacteristic
679C2×C4C23×#692311yescharacteristic
680C8—1222no—
681C8—2442no—
682C8—2441no—
683C22—22no—
684C22—22no—
685C22—611no—
686C22—611no—
687C22—1221no—
688C22—1221no—
689C22—1222no—
690C22—1222no—
691C22—1222no—
692C22—2444no—
693C22—2444no—
694C22—2441no—
695C22—2441no—
696C22—2441no—
697C22C2×#1451984214yes—
698C22C22×C22⋊#692311yescharacteristic
699C4—22no—
700C4—21no—
701C4—41no—
702C4—41no—
703C4—42no—
704C4—611no—
705C4—611no—
706C4—1224no—
707C4—1222no—
708C4—1221no—
709C4—1221no—
710C4—2444no—
711C4—2442no—
712C4—2441no—
713C4—2442no—
714C4C2×#1451984212yes—
715C4#41×#692311yescharacteristic
716C4#1684083111yescharacteristic
717C2—24no—
718C2—1221no—
719C2—1221no—
720C2—4881no—
721C2—2442no—
722C2#2146232211yescharacteristic
723C2C22×#1451984211yescharacteristic
724C2#2146244911yescharacteristic
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#554C4
socleC22×C61C22×C22⋊C4
prime radical#21459385C2
cosocleC2×C4×D61C24
hypercenter#554#6923
hypocenterC61#22505
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #554

Complements

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

NH ≅ G/Ntype
1. D4×#11758213C2semidirect
2. C4×D4×#6923C2semidirect
3. #21462004C2semidirect
4. #21461994C2semidirect
5. #21461836C2semidirect
6. #21461800C2semidirect
7. #21461726C2semidirect
8. #21461692C2semidirect
9. C4×#14519842C2semidirect
10. C2×#16840632C2semidirect
36. #16840485C4semidirect
37. #16840478C4semidirect
38. #16840460C4semidirect
39. #16840454C4semidirect
42. #16840416C4semidirect
52. C61×#554C4semidirect
87. #14519777C2×C4semidirect
92. #14519768C2×C4semidirect
102. #14519753C2×C4semidirect
104. #14519752C2×C4semidirect
106. #14519751C2×C4semidirect
109. Q8×Dic61C2×C4semidirect
114. C4×D244C2×C4semidirect
118. #14519739C2×C4semidirect
128. #14519735C2×C4semidirect
129. #14519735C2×C4semidirect
133. C2×C4⋊Dic61C2×C4semidirect
140. C4⋊Q8×C61C2×C4semidirect
143. C22⋊Q8×C61C2×C4semidirect
144. C4×Q8×C61C2×C4semidirect
147. C2×C4⋊C4×C61C2×C4semidirect
202. C4×#6923#41semidirect
209. #11758213#41semidirect
272. D4×C61#104semidirect
377. #554#6923semidirect
415. C61#22505semidirect
429. C4⋊Q8C2×#6923semidirect
447. C22⋊Q8C2×#6923semidirect
457. C4×Q8C2×#6923semidirect
485. C2×C4⋊C4C2×#6923semidirect
634. D4#14519842semidirect

Maximal subgroups

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

subgroupindex
D4×#117582132
C4×D4×#69232
#214620042
#214619942
#214618362
#214618002
#214617262
#214616922
C4×#145198422
C2×#168406322
#214593852
#2250561