Finite Group Databasebeta

← #6591587

Subgroups — #6591587

Order 512.

2419 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3298C212yesmaximal, complemented
2#36179C211yesmaximal, characteristic
3C4×D4×Q8C211yesmaximal, characteristic, complemented
4#33196C211yesmaximal, characteristic, complemented
5#32903C212yesmaximal, complemented
6#28717C211yesmaximal, characteristic, complemented
7#28252C211yesmaximal, characteristic, complemented
8#27647C212yesmaximal, complemented
9#25320C212yesmaximal, complemented
10#25204C214yesmaximal, complemented
11#24813C212yesmaximal, complemented
12#24753C212yesmaximal, complemented
13#24528C214yesmaximal, complemented
14D4×C4⋊C8C211yesmaximal, characteristic, complemented
15#22485C212yesmaximal, complemented
16C4×#460C211yesmaximal, characteristic, complemented
17C2×#1803C212yesmaximal, complemented
18C2×D4×Q8C2211yescharacteristic
19C2×#547—21no—
20C2×#547—21no—
21C2×#547C2212yes—
22C22×C4×Q8C2212yes—
23#3298—216no—
24C2×#487C2212yes—
25C2×#483C2214yes—
26C2×#475C2212yes—
27C2×#465C2214yes—
28C2×#460C2211yescharacteristic
29C2×#460C2212yes—
30C2×#461C2212yes—
31C2×#448C2214yes—
32C2×C4×SD16C2212yes—
33C2×C8×D4C2212yes—
34C22×C4⋊C8C2212yes—
35C22×#103C2214yes—
36#2868C2211yescharacteristic
37#2856C2212yes—
38#2542—21no—
39#2542—21no—
40#2542C2212yes—
41#2501—22no—
42#2501—22no—
43#2501C2214yes—
44#2365—21no—
45#2365C2211yescharacteristic
46#2360—22no—
47#2360C2212yes—
48Q8×C4⋊C4C2211yescharacteristic
49D4×C4⋊C4—21no—
50D4×C4⋊C4C2211yescharacteristic
51Q8×C22⋊C4C2212yes—
52C4×C4⋊Q8—21no—
53C4×C4⋊Q8C2211yescharacteristic
54C4×#127C2211yescharacteristic
55C4×C22⋊Q8—22no—
56C4×C22⋊Q8C2212yes—
57C2×#384C2212yes—
58C42×Q8C2211yescharacteristic
59C42×D4—21no—
60C42×D4C2211yescharacteristic
61#2084C2214yes—
62#2072C2214yes—
63#2072C2214yes—
64#2065C2214yes—
65#2055C2214yes—
66#2055C2214yes—
67#1990C2212yes—
68#1988C2212yes—
69#1982C2211yescharacteristic
70#1948C2212yes—
71#1948C2212yes—
72#1948C2211yescharacteristic
73#1939C2212yes—
74#1926C2212yes—
75#1893C2214yes—
76#1880C2214yes—
77#1880C2214yes—
78#1880C2212yes—
79#1874C2214yes—
80#1850C2214yes—
81#1842C2211yescharacteristic
82#1823C2214yes—
83#1803C2212yes—
84#1803C2212yes—
85#1803C2212yes—
86#1803C2214yes—
87#1803C2212yes—
88#1803C2211yescharacteristic
89#1803C2214yes—
90#1803C2212yes—
91#1802C2212yes—
92#1797C2212yes—
93C4×C4⋊C8C2211yescharacteristic
94C4×#102C2212yes—
95C2×#340C2214yes—
96C22×#41—22no—
97C23×Q8C2312yes—
98C22×SD16C2312yes—
99C22×SD16C2314yes—
100C23×C8C2314yes—
101D4×Q8—24no—
102D4×Q8D418yescomplemented
103#547—28no—
104#547—28no—
105#547—48no—
106#547—48no—
107C2×C4⋊Q8—21no—
108C2×C4⋊Q8—21no—
109C2×C4⋊Q8—21no—
110C2×C4⋊Q8C2311yescharacteristic
111C2×C4⋊Q8C2312yes—
112C2×#127C2311yescharacteristic
113C2×#123—24no—
114C2×#123—24no—
115C2×#123—24no—
116C2×C22⋊Q8—22no—
117C2×C22⋊Q8—22no—
118C2×C22⋊Q8—22no—
119C2×C22⋊Q8—22no—
120C2×C22⋊Q8C2312yes—
121C2×#121—22no—
122C2×#121—22no—
123C2×#121C2314yes—
124C2×C4×Q8—22no—
125C2×C4×Q8—22no—
126C2×C4×Q8—28no—
127C2×C4×Q8—44no—
128C2×C4×Q8C2312yes—
129C2×C4×Q8C2311yescharacteristic
130C2×C4×Q8C2312yes—
131C2×C4×Q8C2312yes—
132C2×C4×Q8C2311yescharacteristic
133C2×C4×Q8C2311yescharacteristic
134C2×C4×D4—21no—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4D411yescharacteristic
139C2×C4×D4D411yescharacteristic
140C2×C4×D4C2312yes—
141C2×C4×D4C2311yescharacteristic
142C22×C4⋊C4—22no—
143C22×C4⋊C4—22no—
144C22×C4⋊C4—22no—
145C22×C4⋊C4C2314yes—
146C22×C4⋊C4C2312yes—
147C22×C42—22no—
148C22×C42C2312yes—
149#487—28no—
150#483—216no—
151#475—28no—
152#465—216no—
153#461—28no—
154#460—24no—
155#460—44no—
156#448—216no—
157C4×SD16—28no—
158C8×D4—28no—
159C2×#106C2314yes—
160C2×#106C2312yes—
161C2×C4⋊C8—44no—
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2311yescharacteristic
164C2×C4⋊C8C2312yes—
165C2×C4⋊C8C2311yescharacteristic
166C2×C4⋊C8C2312yes—
167C2×C4⋊C8C2314yes—
168C2×#103—216no—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2314yes—
172C2×#103C2312yes—
173C2×#103C2314yes—
174C2×#102C2312yes—
175C2×#102C2312yes—
176C2×#102C2312yes—
177C2×#102C2314yes—
178C2×C22⋊C8C2314yes—
179C2×C4×C8C2312yes—
180#399—24no—
181#399—24no—
182#399—24no—
183#391—22no—
184#391—22no—
185#391C2312yes—
186#391C2312yes—
187#390—21no—
188#390—21no—
189#390—22no—
190#390—22no—
191#390C2312yes—
192#390C2314yes—
193#389—21no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—22no—
198#389—22no—
199#389C2312yes—
200#387—22no—
201#387—22no—
202#387—22no—
203#385—22no—
204#385—22no—
205#385—22no—
206#384—21no—
207#384—21no—
208#384—21no—
209#384—22no—
210#384—22no—
211#384C2311yescharacteristic
212#384C2311yescharacteristic
213#384C2312yes—
214#384C2314yes—
215#384C2312yes—
216#380—22no—
217#380C2312yes—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—22no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4D411yescharacteristic
227C4×C4⋊C4D411yescharacteristic
228C4×C4⋊C4C2311yescharacteristic
229C4×C4⋊C4C2311yescharacteristic
230C4×C4⋊C4C2311yescharacteristic
231C4×C4⋊C4C2311yescharacteristic
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4D412yes—
236C4×C22⋊C4D412yes—
237C4×C22⋊C4C2312yes—
238C43—21no—
239C43C2311yescharacteristic
240#340C2314yes—
241#340C2314yes—
242#340C2312yes—
243#340C2314yes—
244#340C2314yes—
245#340C2314yes—
246#340C2312yes—
247#336C2314yes—
248#336C2312yes—
249C2×#41—48no—
250C2×#41—48no—
251C2×#41—48no—
252C22×Q8—22no—
253C22×Q8—22no—
254C22×Q8—24no—
255C22×Q8—24no—
256C22×Q8—24no—
257C22×Q8—42no—
258C22×Q8—42no—
259C22×Q8C2×D418yes—
260C22×Q8C2412yes—
261C22×Q8C2411yescharacteristic
262C22×D4—24no—
263C22×D4—21no—
264C22×D4—21no—
265C22×D4C2×D411yescharacteristic
266C22×D4C2412yes—
267C23×C4—22no—
268C23×C4—24no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2412yes—
274C2×SD16—24no—
275C2×SD16—24no—
276C2×SD16—24no—
277C2×SD16—28no—
278C2×SD16—44no—
279C2×SD16—44no—
280C22×C8—28no—
281C22×C8—44no—
282C22×C8—44no—
283C22×C8C2412yes—
284C22×C8C2414yes—
285C22×C8C2412yes—
286C4⋊Q8—28no—
287C4⋊Q8—24no—
288C4⋊Q8—22no—
289C4⋊Q8—24no—
290C4⋊Q8—44no—
291C4⋊Q8—44no—
292C4⋊Q8C2×D414yes—
293#127—22no—
294#127—22no—
295#123—416no—
296#123—416no—
297#123—416no—
298C22⋊Q8—24no—
299C22⋊Q8—216no—
300C22⋊Q8—48no—
301C22⋊Q8—48no—
302C22⋊Q8—48no—
303C22⋊Q8C2×D418yes—
304#121—28no—
305#121—28no—
306#121—48no—
307#121—48no—
308C4×Q8—22no—
309C4×Q8—22no—
310C4×Q8—24no—
311C4×Q8—22no—
312C4×Q8—24no—
313C4×Q8—24no—
314C4×Q8—24no—
315C4×Q8—48no—
316C4×Q8—42no—
317C4×Q8—42no—
318C4×Q8—41no—
319C4×Q8—48no—
320C4×Q8C2×D414yes—
321C4×Q8#4114yescomplemented
322C4×D4—28no—
323C4×D4—24no—
324C4×D4—24no—
325C4×D4—24no—
326C4×D4—44no—
327C4×D4—44no—
328C4×D4—44no—
329C4×D4SD1618yescomplemented
330C4×D4C2×D414yes—
331C4×D4#4114yes—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—28no—
338C2×C4⋊C4—28no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—24no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—24no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—42no—
359C2×C4⋊C4—48no—
360C2×C4⋊C4—48no—
361C2×C4⋊C4—48no—
362C2×C4⋊C4C2×D411yescharacteristic
363C2×C4⋊C4C2×D411yescharacteristic
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2414yes—
368C2×C4⋊C4C2411yescharacteristic
369C2×C4⋊C4C2411yescharacteristic
370C2×C4⋊C4C2411yescharacteristic
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—24no—
378C2×C22⋊C4—24no—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—21no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—48no—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D412yes—
396C2×C42C2×D412yes—
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2412yes—
401C2×C42C2411yescharacteristic
402C2×C42C2411yescharacteristic
403C2×C42C2411yescharacteristic
404#106—24no—
405#106—28no—
406C4⋊C8—24no—
407C4⋊C8—22no—
408C4⋊C8—22no—
409C4⋊C8—24no—
410C4⋊C8—44no—
411C4⋊C8—42no—
412#103—24no—
413#103—28no—
414#103—28no—
415#103—28no—
416#103—28no—
417#102—24no—
418#102—24no—
419#102—42no—
420#102—44no—
421C22⋊C8—28no—
422C4×C8—24no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95C2×D412yes—
433#95C2×D412yes—
434#95C2×D412yes—
435C24—22no—
436C24C22×D412yes—
437#41—832no—
438C2×Q8—28no—
439C2×Q8—21no—
440C2×Q8—22no—
441C2×Q8—21no—
442C2×Q8—21no—
443C2×Q8—216no—
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—44no—
449C2×Q8—44no—
450C2×Q8—48no—
451C2×Q8—48no—
452C2×Q8—48no—
453C2×Q8—44no—
454C2×Q8—44no—
455C2×Q8—44no—
456C2×Q8C22×D414yes—
457C2×Q8C22×D412yes—
458C2×Q8C2×#4112yes—
459C2×Q82−1+412yes—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—48no—
469C2×D4—48no—
470C2×D4—48no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4#12114yes—
476C2×D4C2×SD1614yes—
477C2×D4AGL(1,ℤ/8)14yes—
478C22×C4—21no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—28no—
486C22×C4—24no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—24no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—82no—
507C22×C4C2×SD1618yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D412yes—
512C22×C4C22×D414yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C2×#4114yes—
519C22×C4C2511yescharacteristic
520SD16—48no—
521SD16—88no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—88no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—28no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—48no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—44no—
561C4⋊C4—48no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—81no—
565C4⋊C4—82no—
566C4⋊C4#12114yes—
567C4⋊C4C2×SD1614yes—
568C4⋊C4C22×D412yes—
569C4⋊C4C2×#4112yes—
570C22⋊C4—28no—
571C22⋊C4—24no—
572C22⋊C4—44no—
573C22⋊C4—48no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—48no—
577C22⋊C4—44no—
578C22⋊C4—48no—
579C22⋊C4#12118yes—
580C22⋊C4C2×SD1618yes—
581C42—24no—
582C42—24no—
583C42—24no—
584C42—24no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—21no—
590C42—21no—
591C42—41no—
592C42—44no—
593C42—44no—
594C42—42no—
595C42—44no—
596C42—42no—
597C42—42no—
598C42—81no—
599C42C2×SD1614yes—
600C42C22×D412yes—
601C42C2×#4112yes—
602C42C2×#4112yes—
603C42H(5,𝔽2)12yes—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23C2×#12114yes—
616C23C22×SD1614yes—
617C23C2×AGL(1,ℤ/8)14yes—
618C23C23×D411yescharacteristic
619Q8—22no—
620Q8—22no—
621Q8—22no—
622Q8—24no—
623Q8—24no—
624Q8—416no—
625Q8—42no—
626Q8—42no—
627Q8—88no—
628Q8#54714yescomplemented
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—84no—
634D4—816no—
635D4—84no—
636D4#460116yescomplemented
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—24no—
651C2×C4—24no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—216no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—24no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—48no—
665C2×C4—416no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—88no—
685C2×C4—816no—
686C2×C4—88no—
687C2×C4C2×#12112yes—
688C2×C4C2×#12114yes—
689C2×C4C2×#12112yes—
690C2×C4#54612yes—
691C2×C4#54612yes—
692C2×C4C22×SD1612yes—
693C2×C4C22×SD1614yes—
694C2×C4C22×SD1612yes—
695C2×C4C22×SD1612yes—
696C2×C4C2×AGL(1,ℤ/8)12yes—
697C2×C4#57812yes—
698C2×C4C23×D411yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C2×H(5,𝔽2)11yescharacteristic
702C2×C4C2×2−1+411yescharacteristic
703C2×C4#58511yescharacteristic
704C8—42no—
705C8—42no—
706C8—44no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—82no—
714C22—82no—
715C22—82no—
716C22—82no—
717C22—82no—
718C22—82no—
719C22—82no—
720C22C2×#46018yes—
721C22C22×#12111yescharacteristic
722C22C2×#54611yescharacteristic
723C22#348911yescharacteristic
724C22C23×SD1611yescharacteristic
725C22C22×AGL(1,ℤ/8)11yescharacteristic
726C22C2×#57811yescharacteristic
727C22#358611yescharacteristic
728C4—22no—
729C4—24no—
730C4—24no—
731C4—22no—
732C4—24no—
733C4—22no—
734C4—42no—
735C4—44no—
736C4—41no—
737C4—42no—
738C4—42no—
739C4—81no—
740C4—82no—
741C4—82no—
742C4—84no—
743C4C2×#46014yes—
744C4#329814yescomplemented
745C4C2×#54711yescharacteristic
746C4#347511yescharacteristic
747C4#349611yescharacteristic
748C4#352011yescharacteristic
749C2—28no—
750C2—162no—
751C2#3615311yescharacteristic
752C2C22×#46011yescharacteristic
753C2#6043211yescharacteristic
754C2C2×#329811yescharacteristic
755C2#6116111yescharacteristic
756C2#6209911yescharacteristic
757C2#6213211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36179C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3298C2semidirect
3. C4×D4×Q8C2semidirect
4. #33196C2semidirect
5. #32903C2semidirect
6. #28717C2semidirect
7. #28252C2semidirect
8. #27647C2semidirect
9. #25320C2semidirect
10. #25204C2semidirect
11. #24813C2semidirect
12. #24753C2semidirect
13. #24528C2semidirect
14. D4×C4⋊C8C2semidirect
15. #22485C2semidirect
16. C4×#460C2semidirect
17. C2×#1803C2semidirect
102. D4×Q8D4semidirect
321. C4×Q8#41semidirect
329. C4×D4SD16semidirect
628. Q8#547semidirect
636. D4#460semidirect
744. C4#3298semidirect

Maximal subgroups

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

subgroupindex
C2×#32982
#361792
C4×D4×Q82
#331962
#329032
#287172
#282522
#276472
#253202
#252042
#248132
#247532
#245282
D4×C4⋊C82
#224852
C4×#4602
C2×#18032