Finite Group Databasebeta

← SD16×Dic43⋊C4 #25114994

Subgroups — SD16×Dic43⋊C4 #25114994

Order 11008.

1030 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×SD16×Dic43C211yesmaximal, characteristic
2C2×SD16×Dic43C211yesmaximal, characteristic
3Q8×Dic43⋊C4C211yesmaximal, characteristic, complemented
4D4×Dic43⋊C4C211yesmaximal, characteristic
5#19135323C211yesmaximal, characteristic, complemented
6#19135321C211yesmaximal, characteristic, complemented
7#19134863C211yesmaximal, characteristic, complemented
8#19134861C211yesmaximal, characteristic, complemented
9#19134856C211yesmaximal, characteristic
10#19134854C211yesmaximal, characteristic
11#19134750C211yesmaximal, characteristic, complemented
12#19134598C211yesmaximal, characteristic, complemented
13#19134593C211yesmaximal, characteristic
14C8×Dic43⋊C4C211yesmaximal, characteristic, complemented
15C2×C4×SD16×C43C211yesmaximal, characteristic
16C2×Q8×Dic43C2211yescharacteristic
17C2×Q8×Dic43C2211yescharacteristic
18C2×D4×Dic43C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C22×Dic43⋊C4—21no—
21SD16×Dic43—24no—
22SD16×Dic43C418yescomplemented
23C2×#13063257C2211yescharacteristic
24C2×#13063257C2211yescharacteristic
25C2×#13063256C2211yescharacteristic
26C2×#13063256C2211yescharacteristic
27C2×Dic43⋊C8C2211yescharacteristic
28C2×#13063249C2211yescharacteristic
29C2×#13063249C2211yescharacteristic
30C2×#13063246C2211yescharacteristic
31C2×#13063246C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33C2×C8×Dic43C2211yescharacteristic
34#14582797—21no—
35#14582797C2211yescharacteristic
36#14582797C2211yescharacteristic
37#14582795—21no—
38#14582795C2211yescharacteristic
39#14582795C2211yescharacteristic
40#14582772—21no—
41#14582771—21no—
42#14582768—21no—
43#14582768C2211yescharacteristic
44#14582768C2211yescharacteristic
45#14582757—21no—
46C4×Dic43⋊C4—21no—
47C4×Dic43⋊C4C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582662C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582654C2211yescharacteristic
53#14582653C2211yescharacteristic
54C22×SD16×C43C2211yescharacteristic
55C2×C4×Q8×C43C2211yescharacteristic
56C2×C4×D4×C43C2211yescharacteristic
57C4×SD16×C43—24no—
58C2×#106×C43C2211yescharacteristic
59C2×#103×C43C2211yescharacteristic
60C2×#102×C43C2211yescharacteristic
61C2×C4×C8×C43C2211yescharacteristic
62C23×Dic43—21no—
63C23×Dic43—21no—
64C22×C43⋊C8C2311yescharacteristic
65C22×C43⋊C8C2311yescharacteristic
66Q8×Dic43—22no—
67Q8×Dic43—22no—
68Q8×Dic43—41no—
69Q8×Dic43C2×C414yescomplemented
70D4×Dic43—22no—
71D4×Dic43—22no—
72D4×Dic43—41no—
73D4×Dic43C2×C414yes—
74C2×C4⋊Dic43—21no—
75C2×C4⋊Dic43—21no—
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×Dic43⋊C4—21no—
87C2×Dic43⋊C4—21no—
88C2×Dic43⋊C4—44no—
89C2×Dic43⋊C4D411yescharacteristic
90C2×Dic43⋊C4D411yescharacteristic
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43—21no—
93C2×C4×Dic43—21no—
94C2×C4×Dic43—21no—
95C2×C4×Dic43C2311yescharacteristic
96C2×C4×Dic43C2311yescharacteristic
97#13063257—22no—
98#13063257C2×C414yescomplemented
99#13063256—41no—
100#13063256—41no—
101Dic43⋊C8—22no—
102#13063249—22no—
103#13063249C2×C414yescomplemented
104#13063246—22no—
105#13063246C2×C414yes—
106C8×Dic43—22no—
107C8×Dic43C2×C414yescomplemented
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95D411yescharacteristic
113C43⋊#95D411yescharacteristic
114C22×Q8×C43C2311yescharacteristic
115C22×D4×C43C2311yescharacteristic
116C23×C4×C43—21no—
117C2×SD16×C43C2×C414yes—
118C2×SD16×C43D414yes—
119C2×SD16×C43Q814yes—
120C22×C8×C43C2311yescharacteristic
121C22×C8×C43C2311yescharacteristic
122C4×Q8×C43—22no—
123C4×Q8×C43—41no—
124C4×D4×C43—22no—
125C4×D4×C43—41no—
126C2×C4⋊C4×C43—21no—
127C2×C4⋊C4×C43C2311yescharacteristic
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C22⋊C4×C43—21no—
130C2×C42×C43—21no—
131C2×C42×C43C2311yescharacteristic
132#106×C43—22no—
133#103×C43—22no—
134#102×C43—22no—
135C4×C8×C43—22no—
136C24×C43—21no—
137C2×Q8×C43—21no—
138C2×Q8×C43—21no—
139C2×Q8×C43—21no—
140C2×Q8×C43C22×C412yes—
141C2×Q8×C43C2×D412yes—
142C2×Q8×C43C2×Q812yes—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—21no—
146C2×D4×C43C22×C412yes—
147C2×D4×C43C2×D412yes—
148C2×D4×C43C2×Q812yes—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—42no—
153C22×C4×C43—42no—
154C22×C4×C43—81no—
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43C2411yescharacteristic
158C22×Dic43—24no—
159C22×Dic43—21no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—42no—
164C22×Dic43—42no—
165C22×Dic43—42no—
166C22×Dic43—42no—
167C22×Dic43—81no—
168C22×Dic43C2×D411yescharacteristic
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172SD16×C43C4⋊C4116yescomplemented
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C2×C8×C43C22×C412yes—
177C2×C8×C43C2×D412yes—
178C2×C8×C43C2×Q812yes—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—42no—
184C22⋊C4×C43—42no—
185C42×C43—21no—
186C42×C43—21no—
187C42×C43—42no—
188C22⋊Dic43—24no—
189C22⋊Dic43—42no—
190C4⋊Dic43—21no—
191C4⋊Dic43—21no—
192C4⋊Dic43—24no—
193C4⋊Dic43—21no—
194C4⋊Dic43—21no—
195C4⋊Dic43—21no—
196C4⋊Dic43—21no—
197C4⋊Dic43—42no—
198C4⋊Dic43C22×C412yes—
199C4⋊Dic43C22×C412yes—
200Dic43⋊C4—22no—
201Dic43⋊C4—42no—
202Dic43⋊C4—42no—
203Dic43⋊C4—42no—
204Dic43⋊C4—42no—
205Dic43⋊C4—81no—
206Dic43⋊C4—81no—
207Dic43⋊C4—81no—
208Dic43⋊C4—81no—
209Dic43⋊C4SD1614yesdirect product factor
210C4×Dic43—21no—
211C4×Dic43—21no—
212C4×Dic43—24no—
213C4×Dic43—42no—
214C4×Dic43C22×C412yes—
215C4×Dic43#4112yes—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8C22×C412yes—
222C23×C43—22no—
223C23×C43—22no—
224C23×C43—22no—
225C23×C43—41no—
226C23×C43—41no—
227C23×C43—41no—
228C23×C43—41no—
229C23×C43C22×D411yescharacteristic
230Q8×C43—22no—
231Q8×C43—22no—
232Q8×C43—22no—
233Q8×C43C2×C4⋊C414yescomplemented
234D4×C43—22no—
235D4×C43—22no—
236D4×C43—22no—
237D4×C43C2×C4⋊C414yes—
238C2×C4×C43—22no—
239C2×C4×C43—22no—
240C2×C4×C43—21no—
241C2×C4×C43—22no—
242C2×C4×C43—21no—
243C2×C4×C43—21no—
244C2×C4×C43—21no—
245C2×C4×C43—21no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—41no—
250C2×C4×C43—41no—
251C2×C4×C43—41no—
252C2×C4×C43—84no—
253C2×C4×C43C2×SD1612yes—
254C2×C4×C43C23×C411yescharacteristic
255C2×C4×C43C22×D411yescharacteristic
256C2×C4×C43C22×Q811yescharacteristic
257C2×C4×C43C2×#4111yescharacteristic
258C2×C4×C43H(5,𝔽2)11yescharacteristic
259C2×C4×C432−1+411yescharacteristic
260C2×Dic43—21no—
261C2×Dic43—21no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—22no—
265C2×Dic43—22no—
266C2×Dic43—21no—
267C2×Dic43—21no—
268C2×Dic43—21no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—48no—
274C2×Dic43—41no—
275C2×Dic43—41no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—84no—
281C2×Dic43C4×D412yes—
282C2×Dic43C4×D412yes—
283C2×Dic43C2×SD1612yes—
284C2×Dic43C2×SD1612yes—
285C2×Dic43#13512yes—
286C8×C43—41no—
287C8×C43C2×C4⋊C414yescomplemented
288C43⋊C8—22no—
289C43⋊C8—41no—
290C4⋊C4×SD16—431nomaximal, Sylow
291C22×C43—24no—
292C22×C43—42no—
293C22×C43—42no—
294C22×C43—42no—
295C22×C43—42no—
296C22×C43—42no—
297C22×C43—42no—
298C22×C43C2×C4×D411yescharacteristic
299C22×C43D4211yescharacteristic
300C22×C43D4×Q811yescharacteristic
301C22×C43C22×SD1611yescharacteristic
302C22×C43C2×#13511yescharacteristic
303C22×C43#57711yescharacteristic
304C22×C43#57711yescharacteristic
305C4×C43—24no—
306C4×C43—22no—
307C4×C43—41no—
308C4×C43—81no—
309C4×C43—81no—
310C4×C43C22×C4⋊C411yescharacteristic
311C4×C43#52011yescharacteristic
312C4×C43#54711yescharacteristic
313C4×C43#55411yescharacteristic
314Dic43—22no—
315Dic43—22no—
316Dic43—42no—
317Dic43—42no—
318Dic43—41no—
319Dic43—81no—
320Dic43—81no—
321Dic43C4×SD1614yescomplemented
322C2×C4×SD16—431no—
323C2×C4×SD16—431no—
324C2×C4×SD16D4311yescharacteristic
325Q8×C4⋊C4—431no—
326D4×C4⋊C4—431no—
327#1941—431no—
328#1941—431no—
329#1865—431no—
330#1865—431no—
331#1864—431no—
332#1864—431no—
333#1844—431no—
334#1803—431no—
335#1802—431no—
336C8×C4⋊C4—431no—
337C2×C43—44no—
338C2×C43D4×C4⋊C411yescharacteristic
339C2×C43C2×C4×SD1611yescharacteristic
340C2×C43#295211yescharacteristic
341C2×C43D4×SD1611yescharacteristic
342C2×C43#328411yescharacteristic
343C2×C43Q8×SD1611yescharacteristic
344C2×C43#338111yescharacteristic
345C22×SD16C2×D4311yescharacteristic
346C2×C4×Q8—431no—
347C2×C4×Q8—431no—
348C2×C4×Q8C2×D4311yescharacteristic
349C2×C4×D4—431no—
350C2×C4×D4—431no—
351C2×C4×D4C2×D4311yescharacteristic
352C22×C4⋊C4—861no—
353C4×SD16—24no—
354C4×SD16—438no—
355C4×SD16—864no—
356C2×#106—431no—
357C2×#106—431no—
358C2×#106—431no—
359C2×#106—431no—
360C2×#106C2×D4311yescharacteristic
361C2×C4⋊C8—431no—
362C2×#103—431no—
363C2×#103—431no—
364C2×#103C2×D4311yescharacteristic
365C2×#102—431no—
366C2×#102—431no—
367C2×#102C2×D4311yescharacteristic
368C2×C4×C8—431no—
369C2×C4×C8—431no—
370C2×C4×C8C2×D4311yescharacteristic
371#389—431no—
372#389—431no—
373#389—431no—
374#389—431no—
375#389—861no—
376#389—861no—
377#385—861no—
378#385—861no—
379#384—431no—
380#384—431no—
381#384—861no—
382#380—861no—
383C4×C4⋊C4—431no—
384C4×C4⋊C4—861no—
385#340—431no—
386#340—431no—
387#340—431no—
388#340—431no—
389#336—431no—
390#336—431no—
391C43C4⋊C4×SD1611yescharacteristic, complemented, Sylow
392C22×Q8C22×D4311yescharacteristic
393C22×D4C22×D4311yescharacteristic
394C23×C4—21no—
395C23×C4—861no—
396C23×C4—861no—
397C2×SD16Dic8614yes—
398C2×SD16C4×D4314yes—
399C2×SD16C22⋊D4314yes—
400C22×C8—431no—
401C22×C8—431no—
402C22×C8C22×D4311yescharacteristic
403C22×C8C22×D4311yescharacteristic
404C4×Q8—22no—
405C4×Q8—41no—
406C4×Q8—434no—
407C4×Q8—862no—
408C4×Q8—862no—
409C4×Q8—1721no—
410C4×D4—22no—
411C4×D4—41no—
412C4×D4—434no—
413C4×D4—862no—
414C4×D4—862no—
415C4×D4—1721no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—431no—
418C2×C4⋊C4—431no—
419C2×C4⋊C4—431no—
420C2×C4⋊C4—431no—
421C2×C4⋊C4—431no—
422C2×C4⋊C4—431no—
423C2×C4⋊C4—861no—
424C2×C4⋊C4—861no—
425C2×C4⋊C4—861no—
426C2×C4⋊C4—861no—
427C2×C4⋊C4—861no—
428C2×C4⋊C4—861no—
429C2×C4⋊C4—861no—
430C2×C4⋊C4—861no—
431C2×C4⋊C4—861no—
432C2×C4⋊C4—861no—
433C2×C4⋊C4—1724no—
434C2×C4⋊C4C22×D4311yescharacteristic
435C2×C4⋊C4C22×D4311yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—861no—
438C2×C22⋊C4—861no—
439C2×C42—21no—
440C2×C42—431no—
441C2×C42—431no—
442C2×C42—861no—
443C2×C42—861no—
444C2×C42C22×D4311yescharacteristic
445#106—22no—
446#106—434no—
447#106—862no—
448#106—1721no—
449#106—1721no—
450C4⋊C8—862no—
451#103—22no—
452#103—434no—
453#103—862no—
454#102—22no—
455#102—434no—
456#102—862no—
457C4×C8—22no—
458C4×C8—434no—
459C4×C8—862no—
460#95—431no—
461#95—431no—
462#95—861no—
463#95—861no—
464#95—861no—
465#95—861no—
466C24—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8C2×Dic8612yes—
471C2×Q8C2×C4×D4312yes—
472C2×Q8C2×C22⋊D4312yes—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4C2×Dic8612yes—
477C2×D4C2×C4×D4312yes—
478C2×D4C2×C22⋊D4312yes—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—81no—
485C22×C4—431no—
486C22×C4—431no—
487C22×C4—431no—
488C22×C4—431no—
489C22×C4—864no—
490C22×C4—861no—
491C22×C4—861no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—3441no—
495C22×C4—1722no—
496C22×C4—1722no—
497C22×C4—1722no—
498C22×C4—1722no—
499C22×C4D4×D4311yescharacteristic
500C22×C4D4×D4311yescharacteristic
501C22×C4C23×D4311yescharacteristic
502SD16Dic43⋊C4116yesdirect product factor
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—432no—
507C2×C8—861no—
508C2×C8—861no—
509C2×C8—861no—
510C2×C8—861no—
511C2×C8—861no—
512C2×C8C2×Dic8612yes—
513C2×C8C2×C4×D4312yes—
514C2×C8C2×C22⋊D4312yes—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—42no—
520C4⋊C4—434no—
521C4⋊C4—432no—
522C4⋊C4—432no—
523C4⋊C4—862no—
524C4⋊C4—864no—
525C4⋊C4—861no—
526C4⋊C4—861no—
527C4⋊C4—861no—
528C4⋊C4—861no—
529C4⋊C4—861no—
530C4⋊C4—861no—
531C4⋊C4—3441no—
532C4⋊C4—3441no—
533C4⋊C4—3441no—
534C4⋊C4—3441no—
535C4⋊C4—1722no—
536C4⋊C4—1722no—
537C4⋊C4—1722no—
538C4⋊C4—1722no—
539C4⋊C4—1722no—
540C22⋊C4—42no—
541C22⋊C4—864no—
542C22⋊C4—1722no—
543C42—21no—
544C42—21no—
545C42—42no—
546C42—432no—
547C42—432no—
548C42—864no—
549C42—861no—
550C42—861no—
551C42—1722no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23C2×D4×D4311yescharacteristic
560Q8—22no—
561Q8—22no—
562Q8—22no—
563Q8C2×Dic43⋊C414yescomplemented
564D4—22no—
565D4—22no—
566D4—22no—
567D4C2×Dic43⋊C414yes—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—84no—
583C2×C4—432no—
584C2×C4—432no—
585C2×C4—432no—
586C2×C4—432no—
587C2×C4—432no—
588C2×C4—861no—
589C2×C4—861no—
590C2×C4—861no—
591C2×C4—861no—
592C2×C4—862no—
593C2×C4—862no—
594C2×C4—861no—
595C2×C4—861no—
596C2×C4—861no—
597C2×C4—3444no—
598C2×C4—1728no—
599C2×C4—1721no—
600C2×C4—1721no—
601C2×C4—1721no—
602C2×C4—1721no—
603C2×C4—1721no—
604C2×C4—1721no—
605C2×C4—1721no—
606C2×C4—1721no—
607C2×C4—1721no—
608C2×C4—1721no—
609C2×C4SD16×D4312yes—
610C2×C4C22×C4×D4311yescharacteristic
611C2×C4C22×C22⋊D4311yescharacteristic
612C2×C4C22×Dic8611yescharacteristic
613C2×C4#41×D4311yescharacteristic
614C2×C4#1306337011yescharacteristic
615C2×C4#1306337211yescharacteristic
616C8—41no—
617C8—862no—
618C8—1721no—
619C8C2×Dic43⋊C414yescomplemented
620C22—24no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22C4×D4×D4311yescharacteristic
628C22D4×C22⋊D4311yescharacteristic
629C22D4×Dic8611yescharacteristic
630C22C2×SD16×D4311yescharacteristic
631C22#135×D4311yescharacteristic
632C22#1458370511yescharacteristic
633C22#1458370611yescharacteristic
634C4—22no—
635C4—24no—
636C4—41no—
637C4—81no—
638C4—81no—
639C4—434no—
640C4—862no—
641C4—862no—
642C4—3441no—
643C4—3441no—
644C4—1722no—
645C4—1721no—
646C4—1722no—
647C4C22×Dic43⋊C411yescharacteristic
648C4#1458337811yescharacteristic
649C4#1458354811yescharacteristic
650C4#1458360811yescharacteristic
651C2—44no—
652C2D4×Dic43⋊C411yescharacteristic
653C2C4×SD16×D4311yescharacteristic
654C2#1914347311yescharacteristic
655C2SD16×C22⋊D4311yescharacteristic
656C2#1914631911yescharacteristic
657C2SD16×Dic8611yescharacteristic
658C2#1914747111yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C4×SD16×C43C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
cosocleC22×C4×C43C24
hypercenterC2×C4×SD16D43
hypocenterC43C4⋊C4×SD16
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
3. Q8×Dic43⋊C4C2semidirect
5. #19135323C2semidirect
6. #19135321C2semidirect
7. #19134863C2semidirect
8. #19134861C2semidirect
11. #19134750C2semidirect
12. #19134598C2semidirect
14. C8×Dic43⋊C4C2semidirect
22. SD16×Dic43C4semidirect
69. Q8×Dic43C2×C4semidirect
98. #13063257C2×C4semidirect
103. #13063249C2×C4semidirect
107. C8×Dic43C2×C4semidirect
172. SD16×C43C4⋊C4semidirect
209. Dic43⋊C4SD16direct (N × H)
233. Q8×C43C2×C4⋊C4semidirect
287. C8×C43C2×C4⋊C4semidirect
321. Dic43C4×SD16semidirect
391. C43C4⋊C4×SD16semidirect
502. SD16Dic43⋊C4direct (N × H)
563. Q8C2×Dic43⋊C4semidirect
619. C8C2×Dic43⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×SD16×Dic432
Q8×Dic43⋊C42
D4×Dic43⋊C42
#191353232
#191353212
#191348632
#191348612
#191348562
#191348542
#191347502
#191345982
#191345932
C8×Dic43⋊C42
C2×C4×SD16×C432
C4⋊C4×SD1643