Finite Group Databasebeta

← #6591604

Subgroups — #6591604

Order 512.

2455 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3324C212yesmaximal
2#36188C211yesmaximal, characteristic, complemented
3C4×D42C211yesmaximal, characteristic
4#33195C211yesmaximal, characteristic, complemented
5#32905C212yesmaximal, complemented
6#28716C211yesmaximal, characteristic, complemented
7#28252C211yesmaximal, characteristic, complemented
8#27646C212yesmaximal, complemented
9#25325C212yesmaximal, complemented
10#25230C214yesmaximal, complemented
11#24816C212yesmaximal, complemented
12#24759C212yesmaximal, complemented
13#24538C214yesmaximal, complemented
14#22650C211yesmaximal, characteristic, complemented
15#22504C212yesmaximal, complemented
16C4×#461C211yesmaximal, characteristic, complemented
17#20646C212yesmaximal, complemented
18C2×#556C2212yes—
19C2×D42C2211yescharacteristic
20C22×C4×D4—21no—
21C22×C4×D4C2212yes—
22#3324—216no—
23C2×#486C2212yes—
24C2×#482C2214yes—
25C2×#474C2212yes—
26C2×#468C2214yes—
27C2×#460C2212yes—
28C2×#461C2211yescharacteristic
29C2×#461C2212yescomplemented
30C2×#450C2214yes—
31C2×C4×SD16C2212yes—
32C2×#436C2212yes—
33C2×#423C2212yescomplemented
34C2×#418C2214yes—
35#2868C2211yescharacteristic, complemented
36#2857C2212yescomplemented
37#2568C2212yescomplemented
38#2547—21no—
39#2547—21no—
40#2499C2214yescomplemented
41#2496—22no—
42#2496—22no—
43#2366C2211yescharacteristic
44#2365—21no—
45#2365—21no—
46#2361—21no—
47#2361C2212yes—
48#2358—22no—
49D4×C4⋊C4C2211yescharacteristic
50D4×C4⋊C4C2211yescharacteristic
51D4×C22⋊C4—21no—
52D4×C22⋊C4C2212yes—
53C4×C4⋊Q8C2211yescharacteristic, complemented
54C4×#127C2211yescharacteristic
55C4×#121—21no—
56C4×#121C2212yes—
57C4×#120—22no—
58#2285C2212yescomplemented
59C42×D4C2211yescharacteristic
60C42×D4C2211yescharacteristic
61#2085C2214yescomplemented
62#2073C2214yescomplemented
63#2071C2214yescomplemented
64#2068C2214yescomplemented
65#2055C2214yescomplemented
66#2055C2214yescomplemented
67#1990C2212yescomplemented
68#1988C2212yescomplemented
69#1981C2211yescharacteristic, complemented
70#1948C2211yescharacteristic, complemented
71#1947C2212yescomplemented
72#1947C2212yescomplemented
73#1939C2212yescomplemented
74#1927C2212yescomplemented
75#1894C2214yescomplemented
76#1877C2214yes—
77#1877C2212yes—
78#1877C2214yescomplemented
79#1872C2214yescomplemented
80#1851C2214yescomplemented
81#1842C2211yescharacteristic, complemented
82#1825C2214yescomplemented
83#1804C2214yes—
84#1804C2214yescomplemented
85#1803C2212yescomplemented
86#1802C2212yes—
87#1802C2211yescharacteristic
88#1802C2212yes—
89#1802C2212yescomplemented
90#1802C2212yescomplemented
91#1802C2212yescomplemented
92#1797C2212yescomplemented
93C4×C4⋊C8C2211yescharacteristic, complemented
94C4×#103C2212yescomplemented
95#1736C2214yescomplemented
96C23×D4—21no—
97C23×D4C2312yes—
98C24×C4—22no—
99C22×SD16C2312yes—
100C22×SD16C2314yes—
101C22×M16C2314yes—
102#556—28no—
103#556—28no—
104D42—24no—
105D42D418yes—
106C2×C4⋊Q8—21no—
107C2×C4⋊Q8—21no—
108C2×C4⋊Q8C2311yescharacteristic
109C2×C4⋊Q8C2312yes—
110C2×#127C2311yescharacteristic
111C2×#126—24no—
112C2×#124—22no—
113C2×C22⋊Q8C2314yes—
114C2×#121—21no—
115C2×#121C2312yes—
116C2×#120—22no—
117C2×C4×Q8—22no—
118C2×C4×Q8C2312yes—
119C2×C4×D4—21no—
120C2×C4×D4—22no—
121C2×C4×D4—21no—
122C2×C4×D4—22no—
123C2×C4×D4—28no—
124C2×C4×D4—21no—
125C2×C4×D4—22no—
126C2×C4×D4—22no—
127C2×C4×D4—21no—
128C2×C4×D4—44no—
129C2×C4×D4—48no—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D411yescharacteristic
132C2×C4×D4C2312yes—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2312yes—
135C2×C4×D4C2312yes—
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2311yescharacteristic
138C2×C4×D4C2311yescharacteristic
139C2×#117C2314yes—
140C22×C4⋊C4—21no—
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C42—21no—
145C22×C42C2312yes—
146#486—28no—
147#482—216no—
148#474—28no—
149#468—216no—
150#461—24no—
151#461—44no—
152#460—28no—
153#450—216no—
154C4×SD16—28no—
155#436—28no—
156C2×#107C2314yes—
157C2×#106C2312yes—
158#423—44no—
159C2×C4⋊C8C2311yescharacteristic
160C2×C4⋊C8C2312yes—
161C2×C4⋊C8C2311yescharacteristic
162C2×C4⋊C8C2312yes—
163C2×C4⋊C8C2312yes—
164C2×C4⋊C8C2314yes—
165#418—216no—
166C2×#103C2312yes—
167C2×#103C2312yes—
168C2×#103C2312yes—
169C2×#103C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2314yes—
173C2×#102C2312yes—
174C2×#102C2314yes—
175C2×C22⋊C8C2314yes—
176C2×C4×C8C2312yes—
177#400—24no—
178#397—24no—
179#397—24no—
180#391—22no—
181#391—22no—
182#391C2312yes—
183#391C2314yes—
184#390—21no—
185#390—21no—
186#390—21no—
187#390C2312yes—
188#390C2312yes—
189#389—21no—
190#389—21no—
191#389—21no—
192#389—22no—
193#389—22no—
194#389C2312yes—
195#388—22no—
196#388—22no—
197#387—24no—
198#387—24no—
199#386—22no—
200#386—22no—
201#386—22no—
202#386—22no—
203#386—22no—
204#385—22no—
205#385—22no—
206#385—22no—
207#384—21no—
208#384—21no—
209#384C2311yescharacteristic
210#384C2311yescharacteristic
211#384C2312yes—
212#384C2312yes—
213#382C2314yes—
214#380—22no—
215#380—22no—
216#380—22no—
217#380—22no—
218#380—21no—
219#380C2312yes—
220#379—22no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—22no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4D411yescharacteristic
226C4×C4⋊C4D411yescharacteristic
227C4×C4⋊C4C2311yescharacteristic
228C4×C4⋊C4C2311yescharacteristic
229C4×C4⋊C4C2311yescharacteristic
230C4×C4⋊C4C2311yescharacteristic
231C4×C22⋊C4—21no—
232C4×C22⋊C4—21no—
233C4×C22⋊C4—21no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4D412yes—
236C4×C22⋊C4D412yes—
237C4×C22⋊C4C2312yes—
238C43C2311yescharacteristic
239#340C2314yes—
240#340C2314yes—
241#340C2312yes—
242#340C2314yes—
243#340C2314yes—
244#340C2314yes—
245#340C2312yes—
246#336C2314yes—
247#336C2312yes—
248C25—22no—
249C22×Q8—22no—
250C22×Q8C2412yes—
251C22×D4—24no—
252C22×D4—24no—
253C22×D4—22no—
254C22×D4—28no—
255C22×D4—22no—
256C22×D4—21no—
257C22×D4—21no—
258C22×D4—24no—
259C22×D4—42no—
260C22×D4—42no—
261C22×D4—44no—
262C22×D4—44no—
263C22×D4C2×D411yescharacteristic
264C22×D4C2×D418yes—
265C22×D4C2412yes—
266C22×D4C2411yescharacteristic
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4—48no—
275C23×C4—48no—
276C23×C4—84no—
277C23×C4C2×D412yes—
278C23×C4C2×D412yes—
279C23×C4C2412yes—
280C2×SD16—24no—
281C2×SD16—24no—
282C2×SD16—24no—
283C2×SD16—28no—
284C2×SD16—44no—
285C2×SD16—44no—
286C2×M16—28no—
287C2×M16—44no—
288C2×M16—44no—
289C22×C8C2412yes—
290C22×C8C2414yes—
291C22×C8C2412yes—
292C4⋊Q8—24no—
293C4⋊Q8—24no—
294C4⋊Q8—22no—
295C4⋊Q8—22no—
296C4⋊Q8—44no—
297C4⋊Q8—44no—
298#127—22no—
299#127C2×D414yes—
300#126—416no—
301#124—48no—
302C22⋊Q8—28no—
303C22⋊Q8—28no—
304#121—24no—
305#121—28no—
306#121C2×D418yes—
307#120—216no—
308C4×Q8—24no—
309C4×Q8—24no—
310C4×Q8—48no—
311C4×D4—24no—
312C4×D4—22no—
313C4×D4—24no—
314C4×D4—24no—
315C4×D4—22no—
316C4×D4—24no—
317C4×D4—22no—
318C4×D4—24no—
319C4×D4—48no—
320C4×D4—42no—
321C4×D4—42no—
322C4×D4—42no—
323C4×D4—41no—
324C4×D4—48no—
325C4×D4—48no—
326C4×D4—44no—
327C4×D4—48no—
328C4×D4—44no—
329C4×D4—44no—
330C4×D4—82no—
331C4×D4C2×D414yes—
332C4×D4C2×D414yes—
333C4×D4#4114yes—
334C4×D4#4114yes—
335#117—28no—
336#117—28no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—42no—
354C2×C4⋊C4—44no—
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2414yes—
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2411yescharacteristic
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—48no—
379C2×C22⋊C4—48no—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C22⋊C4C2×D412yes—
383C2×C42—24no—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—22no—
390C2×C42—44no—
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D412yes—
393C2×C42C2×D412yes—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2412yes—
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401#107—28no—
402#106—24no—
403C4⋊C8—24no—
404C4⋊C8—22no—
405C4⋊C8—22no—
406C4⋊C8—24no—
407C4⋊C8—42no—
408C4⋊C8—44no—
409#103—24no—
410#103—24no—
411#103—42no—
412#103—44no—
413#102—24no—
414#102—28no—
415#102—28no—
416#102—28no—
417#102—28no—
418C22⋊C8—28no—
419C4×C8—24no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—22no—
424#95—22no—
425#95—24no—
426#95—24no—
427#95—22no—
428#95—22no—
429#95—24no—
430#95—24no—
431#95C2×D412yes—
432#95C2×D412yes—
433#95C2×D412yes—
434C24—21no—
435C24—22no—
436C24—28no—
437C24—44no—
438C24—44no—
439C24—44no—
440C24—44no—
441C24—82no—
442C24—82no—
443C24C22×D412yes—
444C2×Q8—22no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—44no—
451C2×Q8—44no—
452C2×Q8—44no—
453C2×D4—216no—
454C2×D4—28no—
455C2×D4—28no—
456C2×D4—24no—
457C2×D4—24no—
458C2×D4—22no—
459C2×D4—22no—
460C2×D4—21no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—21no—
464C2×D4—22no—
465C2×D4—22no—
466C2×D4—21no—
467C2×D4—22no—
468C2×D4—48no—
469C2×D4—48no—
470C2×D4—48no—
471C2×D4—44no—
472C2×D4—44no—
473C2×D4—432no—
474C2×D4—44no—
475C2×D4—44no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—81no—
479C2×D4—81no—
480C2×D4#12114yes—
481C2×D4C22×D414yes—
482C2×D4C22×D412yes—
483C2×D4C2×#4112yes—
484C2×D42−1+412yes—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—81no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4—82no—
523C22×C4—832no—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D412yes—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D414yes—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C2×#4114yes—
535C22×C4C2511yescharacteristic
536SD16—48no—
537SD16—88no—
538M16—88no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—24no—
542C2×C8—22no—
543C2×C8—24no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—81no—
575C4⋊C4#12114yes—
576C4⋊C4C22×D412yes—
577C4⋊C4C2×#4112yes—
578C22⋊C4—24no—
579C22⋊C4—28no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—42no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—42no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—48no—
589C22⋊C4—48no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4#12118yes—
595C42—24no—
596C42—24no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—21no—
602C42—21no—
603C42—41no—
604C42—48no—
605C42—44no—
606C42—42no—
607C42—42no—
608C42—42no—
609C42AGL(1,ℤ/8)14yes—
610C42C22×D412yes—
611C42C2×#4112yes—
612C42C2×#4112yes—
613C42H(5,𝔽2)12yes—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—24no—
624C23—416no—
625C23—416no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—88no—
637C23—88no—
638C23—88no—
639C23—88no—
640C23—88no—
641C23C2×#12114yes—
642C23C23×D411yescharacteristic
643Q8—42no—
644Q8—42no—
645Q8—42no—
646Q8—42no—
647Q8—88no—
648D4—24no—
649D4—22no—
650D4—22no—
651D4—24no—
652D4—22no—
653D4—28no—
654D4—416no—
655D4—416no—
656D4—42no—
657D4—42no—
658D4—48no—
659D4—84no—
660D4#54714yes—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—48no—
689C2×C4—48no—
690C2×C4—48no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—88no—
709C2×C4—88no—
710C2×C4—88no—
711C2×C4—88no—
712C2×C4C2×#12114yes—
713C2×C4C2×#12112yes—
714C2×C4C2×#12112yes—
715C2×C4#54612yes—
716C2×C4#54612yes—
717C2×C4C2×AGL(1,ℤ/8)12yes—
718C2×C4C2×AGL(1,ℤ/8)12yes—
719C2×C4C2×AGL(1,ℤ/8)12yes—
720C2×C4#57512yes—
721C2×C4#57712yes—
722C2×C4C23×D411yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C22×#4111yescharacteristic
725C2×C4C2×H(5,𝔽2)11yescharacteristic
726C2×C4C2×2−1+411yescharacteristic
727C2×C4#58511yescharacteristic
728C8—42no—
729C8—42no—
730C8—44no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—832no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22C22×#12111yescharacteristic
754C22C2×#54611yescharacteristic
755C22#348911yescharacteristic
756C22C22×AGL(1,ℤ/8)11yescharacteristic
757C22C2×#57511yescharacteristic
758C22C2×#57711yescharacteristic
759C22#358611yescharacteristic
760C4—22no—
761C4—24no—
762C4—22no—
763C4—22no—
764C4—41no—
765C4—42no—
766C4—42no—
767C4—42no—
768C4—42no—
769C4—82no—
770C4—82no—
771C4—81no—
772C4—82no—
773C4—84no—
774C4#303614yes—
775C4#332414yescomplemented
776C4C2×#54711yescharacteristic
777C4#347511yescharacteristic
778C4#349611yescharacteristic
779C4#352011yescharacteristic
780C2—44no—
781C2—44no—
782C2—84no—
783C2#3615311yescharacteristic
784C2C2×#303611yescharacteristic
785C2#6042911yescharacteristic
786C2C2×#332411yescharacteristic
787C2#6116511yescharacteristic
788C2#6210911yescharacteristic
789C2#6214411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×D42C22
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
2. #36188C2semidirect
4. #33195C2semidirect
5. #32905C2semidirect
6. #28716C2semidirect
7. #28252C2semidirect
8. #27646C2semidirect
9. #25325C2semidirect
10. #25230C2semidirect
11. #24816C2semidirect
12. #24759C2semidirect
13. #24538C2semidirect
14. #22650C2semidirect
15. #22504C2semidirect
16. C4×#461C2semidirect
17. #20646C2semidirect
29. C2×#461C22semidirect
33. C2×#423C22semidirect
35. #2868C22semidirect
36. #2857C22semidirect
37. #2568C22semidirect
40. #2499C22semidirect
53. C4×C4⋊Q8C22semidirect
58. #2285C22semidirect
61. #2085C22semidirect
62. #2073C22semidirect
63. #2071C22semidirect
64. #2068C22semidirect
65. #2055C22semidirect
66. #2055C22semidirect
67. #1990C22semidirect
68. #1988C22semidirect
69. #1981C22semidirect
70. #1948C22semidirect
71. #1947C22semidirect
72. #1947C22semidirect
73. #1939C22semidirect
74. #1927C22semidirect
75. #1894C22semidirect
78. #1877C22semidirect
79. #1872C22semidirect
80. #1851C22semidirect
81. #1842C22semidirect
82. #1825C22semidirect
84. #1804C22semidirect
85. #1803C22semidirect
89. #1802C22semidirect
90. #1802C22semidirect
91. #1802C22semidirect
92. #1797C22semidirect
93. C4×C4⋊C8C22semidirect
94. C4×#103C22semidirect
95. #1736C22semidirect
775. C4#3324semidirect

Maximal subgroups

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

subgroupindex
C2×#33242
#361882
C4×D422
#331952
#329052
#287162
#282522
#276462
#253252
#252302
#248162
#247592
#245382
#226502
#225042
C4×#4612
#206462