Finite Group Databasebeta

← #6810329

Subgroups — #6810329

Order 512.

2227 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3211C212yesmaximal, complemented
2#36117C211yesmaximal, characteristic, complemented
3C2×#2547C211yesmaximal, characteristic, complemented
4#32902C211yesmaximal, characteristic
5#30883C214yesmaximal, complemented
6#30738C214yesmaximal, complemented
7#29623C212yesmaximal, complemented
8#28460C212yesmaximal, complemented
9#27768C212yesmaximal, complemented
10#25718C211yesmaximal, characteristic, complemented
11#25367C212yesmaximal, complemented
12#24729C212yesmaximal, complemented
13#24503C212yesmaximal, complemented
14#24212C211yesmaximal, characteristic, complemented
15#23937C212yesmaximal, complemented
16#22599C211yesmaximal, characteristic, complemented
17C4×#450C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C2×#529C2212yes—
20C22×#124C2212yes—
21C22×C4×D4C2211yescharacteristic
22#3211—216no—
23C2×#495C2214yes—
24C2×#492C2212yescomplemented
25C2×#488C2214yes—
26C2×#464C2214yes—
27C2×#462C2212yescomplemented
28C2×#463C2214yes—
29C2×#459C2212yes—
30C2×#451C2212yes—
31C2×#448C2212yes—
32C2×#448C2212yes—
33C2×#450C2211yescharacteristic
34C2×#447C2212yes—
35C2×C4×SD16C2212yes—
36C2×#431C2212yes—
37#2856C2211yescharacteristic
38#2854C2212yes—
39#2552C2211yescharacteristic, complemented
40#2548C2211yescharacteristic, complemented
41#2547—21no—
42#2547—22no—
43#2547—21no—
44#2547C2214yes—
45#2547C2212yes—
46#2547C2212yes—
47#2512—21no—
48#2501—21no—
49#2479—22no—
50#2454C2212yescomplemented
51#2448C2212yescomplemented
52#2425—22no—
53C2×#397—22no—
54#2366C2211yescharacteristic, complemented
55#2361—21no—
56#2354—21no—
57Q8×C4⋊C4C2211yescharacteristic, complemented
58C4×C22⋊Q8C2211yescharacteristic
59C2×#391C2212yes—
60C2×#380—21no—
61C2×#380—21no—
62C2×C4×C4⋊C4C2211yescharacteristic
63#2066C2214yescomplemented
64#2055C2214yescomplemented
65#2043C2212yescomplemented
66#2042C2214yes—
67#2042C2214yes—
68#2026C2214yescomplemented
69#2016C2212yescomplemented
70#2015C2214yescomplemented
71#2013C2214yescomplemented
72#2012C2214yes—
73#2012C2214yes—
74#1981C2212yescomplemented
75#1968C2214yescomplemented
76#1956C2212yescomplemented
77#1939C2212yescomplemented
78#1933C2214yescomplemented
79#1916C2214yescomplemented
80#1879C2214yes—
81#1878C2214yescomplemented
82#1877C2212yes—
83#1877C2214yescomplemented
84#1874C2212yes—
85#1872C2211yescharacteristic
86#1864C2212yes—
87#1853C2211yescharacteristic
88#1817C2212yes—
89#1802C2212yes—
90#1797C2211yescharacteristic
91#1787C2212yes—
92#1786C2211yescharacteristic
93C8×C4⋊C4C2212yescomplemented
94C4×#102C2212yes—
95C4×C22⋊C8C2211yescharacteristic
96C23×Q8C2312yes—
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C22×Q16C2314yes—
100C22×SD16C2314yes—
101C22×SD16C2314yes—
102C22×SD16C2312yes—
103C22×D8C2314yes—
104C2×C4⋊Q8—21no—
105C2×C4⋊Q8—21no—
106C2×C4⋊Q8—44no—
107C2×C4⋊Q8C2312yes—
108C2×C4⋊Q8C2312yes—
109C2×#127C2311yescharacteristic
110#529—28no—
111#529—44no—
112C2×#126—22no—
113C2×#125C2312yes—
114C2×#124—28no—
115C2×#124—22no—
116C2×#124—22no—
117C2×#124—44no—
118C2×#124C2314yes—
119C2×#124C2312yes—
120C2×#124C2314yes—
121C2×#123—22no—
122C2×#123—22no—
123C2×C22⋊Q8C2311yescharacteristic
124C2×#121—21no—
125C2×#121—21no—
126C2×#121C2312yes—
127C2×C4×Q8C2311yescharacteristic
128C2×C4×Q8C2312yes—
129C2×C4×D4—22no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—44no—
134C2×C4×D4C2312yes—
135C2×C4×D4C2312yes—
136C2×C4×D4C2312yes—
137C2×#117—22no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4D411yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C22⋊C4—21no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C42C2311yescharacteristic
147C22×C42C2312yes—
148#495—216no—
149#492—44no—
150#488—216no—
151#464—216no—
152#463—216no—
153#462—44no—
154#459—44no—
155#451—28no—
156#450D418yescomplemented
157#448—28no—
158#448—44no—
159#447—28no—
160C4×SD16—44no—
161#431—28no—
162C2×#106C2312yes—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2312yes—
170C2×#103C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2312yes—
174C2×#102C2312yes—
175C2×#102C2312yes—
176C2×C22⋊C8C2312yes—
177C2×C22⋊C8C2311yescharacteristic
178C2×C22⋊C8C2311yescharacteristic
179C2×C4×C8C2314yes—
180C2×C4×C8C2312yes—
181#399—22no—
182#399—22no—
183#398—22no—
184#397—24no—
185#397—24no—
186#397—24no—
187#397—24no—
188#397—22no—
189#396—22no—
190#394—22no—
191#391—22no—
192#391—22no—
193#391C2314yes—
194#391C2311yescharacteristic
195#391C2314yes—
196#390—21no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390C2312yes—
202#390C2312yes—
203#390C2312yes—
204#389—21no—
205#389—22no—
206#389C2312yes—
207#389C2312yes—
208#389C2311yescharacteristic
209#388—22no—
210#388—22no—
211#388—22no—
212#388—22no—
213#387—21no—
214#386—22no—
215#386—22no—
216#385—21no—
217#385—22no—
218#384—21no—
219#384—21no—
220#384C2311yescharacteristic
221#380—22no—
222#380—22no—
223#380—22no—
224#380—22no—
225#380—24no—
226#380—24no—
227#380—22no—
228#380C2311yescharacteristic
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4D411yescharacteristic
232C4×C4⋊C4D412yes—
233C4×C4⋊C4D411yescharacteristic
234C4×C4⋊C4C2311yescharacteristic
235C4×C4⋊C4C2311yescharacteristic
236C4×C4⋊C4C2312yes—
237C4×C4⋊C4C2311yescharacteristic
238C4×C22⋊C4—21no—
239C2×#95—22no—
240C2×#95—22no—
241C2×#95D412yes—
242#340C2312yes—
243#340C2314yes—
244#340C2312yes—
245#336C2312yes—
246#336C2314yes—
247#336C2314yes—
248#336C2312yes—
249C25—21no—
250C22×Q8—22no—
251C22×Q8—24no—
252C22×Q8—24no—
253C22×Q8—44no—
254C22×Q8—44no—
255C22×Q8C2414yes—
256C22×Q8C2411yescharacteristic
257C22×D4—22no—
258C22×D4—21no—
259C22×D4—21no—
260C22×D4—21no—
261C22×D4—22no—
262C22×D4—42no—
263C22×D4—42no—
264C22×D4C2×D414yes—
265C22×D4C2412yes—
266C22×D4C2412yes—
267C23×C4—22no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4—44no—
275C23×C4C2×D412yes—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2411yescharacteristic
280C2×Q16—28no—
281C2×Q16—44no—
282C2×Q16—44no—
283C2×SD16—28no—
284C2×SD16—42no—
285C2×SD16—42no—
286C2×SD16—44no—
287C2×SD16—44no—
288C2×SD16—44no—
289C2×SD16—44no—
290C2×SD16—44no—
291C2×SD16C2×D418yes—
292C2×D8—28no—
293C2×D8—44no—
294C2×D8—44no—
295C22×C8C2414yes—
296C22×C8C2412yes—
297C22×C8C2412yes—
298C4⋊Q8—24no—
299C4⋊Q8—24no—
300C4⋊Q8—44no—
301C4⋊Q8—44no—
302C4⋊Q8—44no—
303#127—24no—
304#126—48no—
305#125—24no—
306#125—42no—
307#124—24no—
308#124—28no—
309#124—28no—
310#124—44no—
311#124—44no—
312#124—42no—
313#124—48no—
314#124—48no—
315#123—48no—
316#123—84no—
317C22⋊Q8—22no—
318C22⋊Q8C2×D414yes—
319#121—24no—
320#121—24no—
321#121—44no—
322#121—82no—
323C4×Q8—24no—
324C4×Q8—24no—
325C4×Q8—42no—
326C4×D4—24no—
327C4×D4—24no—
328C4×D4—24no—
329C4×D4—42no—
330C4×D4—42no—
331C4×D4—42no—
332C4×D4—44no—
333C4×D4—44no—
334C4×D4—48no—
335C4×D4—44no—
336#117—48no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—42no—
354C2×C4⋊C4—42no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—44no—
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2×D412yes—
362C2×C4⋊C4C2×D412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2411yescharacteristic
367C2×C4⋊C4C2411yescharacteristic
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—24no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—48no—
387C2×C22⋊C4—48no—
388C2×C22⋊C4—44no—
389C2×C42—24no—
390C2×C42—24no—
391C2×C42—24no—
392C2×C42—22no—
393C2×C42—21no—
394C2×C42—21no—
395C2×C42C2×D412yes—
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D412yes—
399C2×C42C2411yescharacteristic
400C2×C42C2412yes—
401C2×C42C2412yes—
402C2×C42C2411yescharacteristic
403#106—42no—
404C4⋊C8—28no—
405C4⋊C8—24no—
406#103—28no—
407#103—28no—
408#103—44no—
409#103—42no—
410#103—44no—
411#103—44no—
412#102—28no—
413#102—42no—
414#102—42no—
415#102—44no—
416#102C2×D418yes—
417C22⋊C8—24no—
418C22⋊C8—22no—
419C22⋊C8C2×D414yes—
420C4×C8—28no—
421C4×C8—24no—
422#95—24no—
423#95—24no—
424#95—24no—
425#95—24no—
426#95—21no—
427#95—21no—
428#95—22no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95—22no—
433#95C2×D412yes—
434#95C2×D412yes—
435#95C2×D412yes—
436#95C2×D412yes—
437C24—24no—
438C24—22no—
439C24—22no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24C22×D411yescharacteristic
447C2×Q8—21no—
448C2×Q8—24no—
449C2×Q8—22no—
450C2×Q8—24no—
451C2×Q8—24no—
452C2×Q8—24no—
453C2×Q8—22no—
454C2×Q8—24no—
455C2×Q8—24no—
456C2×Q8—44no—
457C2×Q8—44no—
458C2×Q8—44no—
459C2×Q8—88no—
460C2×Q8—88no—
461C2×Q8C22×D412yes—
462C2×D4—24no—
463C2×D4—22no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—22no—
467C2×D4—24no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—24no—
472C2×D4—48no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—48no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—44no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—81no—
484C2×D4—81no—
485C2×D4C22×D414yes—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—41no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—44no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—82no—
521C22×C4—816no—
522C22×C4#13514yes—
523C22×C4C22×D412yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D412yes—
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4H(5,𝔽2)12yes—
534C22×C4C2511yescharacteristic
535Q16—88no—
536SD16—48no—
537SD16—88no—
538SD16—88no—
539D8—88no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—24no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—24no—
546C2×C8—22no—
547C2×C8—24no—
548C2×C8C22×D414yes—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—21no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—81no—
574C4⋊C4—81no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4C22×D412yes—
578C22⋊C4—24no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—48no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—42no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C42—22no—
597C42—22no—
598C42—24no—
599C42—24no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—44no—
606C42—42no—
607C42—42no—
608C42H(5,𝔽2)14yes—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—24no—
614C23—48no—
615C23—48no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—48no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23D4212yes—
635C23C2×#13512yes—
636C23#57712yes—
637C23C23×D411yescharacteristic
638Q8—24no—
639Q8—42no—
640Q8—44no—
641Q8—44no—
642Q8—44no—
643Q8—44no—
644Q8—88no—
645D4—24no—
646D4—24no—
647D4—48no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—44no—
652D4—88no—
653D4—84no—
654D4—162no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—28no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—44no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—48no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—41no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—88no—
703C2×C4—84no—
704C2×C4—88no—
705C2×C4—84no—
706C2×C4—88no—
707C2×C4—88no—
708C2×C4#53512yes—
709C2×C4#53512yes—
710C2×C4D4212yes—
711C2×C4C2×#13512yes—
712C2×C4C2×#13512yes—
713C2×C4#57512yes—
714C2×C4C23×D411yescharacteristic
715C2×C4C2×H(5,𝔽2)12yes—
716C2×C4C2×H(5,𝔽2)11yescharacteristic
717C2×C4#58512yes—
718C8—24no—
719C8—44no—
720C8—42no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—44no—
728C22—44no—
729C22—44no—
730C22—816no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22#328414yes—
743C22C2×#53511yescharacteristic
744C22C2×D4211yescharacteristic
745C22#348711yescharacteristic
746C22C22×#13511yescharacteristic
747C22C2×#57511yescharacteristic
748C22C2×#57711yescharacteristic
749C22#358611yescharacteristic
750C4—22no—
751C4—22no—
752C4—22no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—42no—
758C4—41no—
759C4—42no—
760C4—82no—
761C4—82no—
762C4—81no—
763C4—84no—
764C4—81no—
765C4#321114yescomplemented
766C4#349612yes—
767C4#354212yes—
768C2—24no—
769C2—84no—
770C2—162no—
771C2#3933911yescharacteristic
772C2C2×#321111yescharacteristic
773C2#6081311yescharacteristic
774C2C2×#328411yescharacteristic
775C2#6106711yescharacteristic
776C2#6188211yescharacteristic
777C2#6189911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#32902C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3211C2semidirect
2. #36117C2semidirect
3. C2×#2547C2semidirect
5. #30883C2semidirect
6. #30738C2semidirect
7. #29623C2semidirect
8. #28460C2semidirect
9. #27768C2semidirect
10. #25718C2semidirect
11. #25367C2semidirect
12. #24729C2semidirect
13. #24503C2semidirect
14. #24212C2semidirect
15. #23937C2semidirect
16. #22599C2semidirect
17. C4×#450C2semidirect
24. C2×#492C22semidirect
27. C2×#462C22semidirect
39. #2552C22semidirect
40. #2548C22semidirect
50. #2454C22semidirect
51. #2448C22semidirect
54. #2366C22semidirect
57. Q8×C4⋊C4C22semidirect
63. #2066C22semidirect
64. #2055C22semidirect
65. #2043C22semidirect
68. #2026C22semidirect
69. #2016C22semidirect
70. #2015C22semidirect
71. #2013C22semidirect
74. #1981C22semidirect
75. #1968C22semidirect
76. #1956C22semidirect
77. #1939C22semidirect
78. #1933C22semidirect
79. #1916C22semidirect
81. #1878C22semidirect
83. #1877C22semidirect
93. C8×C4⋊C4C22semidirect
156. #450D4semidirect
765. C4#3211semidirect

Maximal subgroups

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

subgroupindex
C2×#32112
#361172
C2×#25472
#329022
#308832
#307382
#296232
#284602
#277682
#257182
#253672
#247292
#245032
#242122
#239372
#225992
C4×#4502