Finite Group Databasebeta

← #6488994

Subgroups — #6488994

Order 512.

1938 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C211yesmaximal, characteristic, complemented
2C2×C4×#124C211yesmaximal, characteristic
3#32954C211yesmaximal, characteristic, complemented
4#32953C211yesmaximal, characteristic
5#32906C211yesmaximal, characteristic, complemented
6#32905C211yesmaximal, characteristic
7#30135C214yesmaximal, complemented
8#29122C212yesmaximal, complemented
9#28372C212yesmaximal, complemented
10#28281C212yesmaximal, complemented
11#28254C212yesmaximal, complemented
12#27686C212yesmaximal, complemented
13#24502C212yesmaximal, complemented
14#24501C212yesmaximal
15#24217C212yesmaximal
16#22150C214yesmaximal, complemented
17#20808C211yesmaximal, characteristic, complemented
18C22×#124C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#475C2212yescomplemented
22C2×#474C2212yes—
23C2×#464C2214yes—
24C2×#462C2212yescomplemented
25C2×#461C2212yes—
26C2×#451C2212yes—
27C2×#450C2212yes—
28C2×#431C2212yes—
29#2864—21no—
30#2863—21no—
31#2863C2212yescomplemented
32#2862C2211yescharacteristic, complemented
33#2859C2211yescharacteristic, complemented
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2855—21no—
37#2855C2212yes—
38#2851—21no—
39C4×C4⋊Q8C2211yescharacteristic, complemented
40C4×C4⋊Q8C2211yescharacteristic, complemented
41C4×#125—21no—
42C4×#124—21no—
43C4×#124—21no—
44C4×#124—21no—
45C4×#124—21no—
46C4×#124C2212yes—
47C4×#124C2212yes—
48C4×#124C2212yes—
49C4×#124C2212yes—
50C4×C22⋊Q8—21no—
51C4×C22⋊Q8C2212yes—
52#2295—21no—
53#2295C2212yescomplemented
54C2×#391C2211yescharacteristic
55C2×#390C2211yescharacteristic
56C2×#388—21no—
57C2×#388—21no—
58#2283—21no—
59C2×#382C2211yescharacteristic
60C2×C4×C22⋊C4—21no—
61C2×C4×C22⋊C4—21no—
62C2×C43C2211yescharacteristic
63#2101C2214yescomplemented
64#2097C2214yescomplemented
65#2068C2214yescomplemented
66#2065C2214yes—
67#2056C2214yescomplemented
68#2055C2214yes—
69#2042C2214yes—
70#2015C2214yes—
71#1983C2214yes—
72#1969C2214yescomplemented
73#1968C2214yes—
74#1949C2214yescomplemented
75#1934C2214yes—
76#1933C2214yescomplemented
77#1878C2214yescomplemented
78#1877C2214yes—
79#1872C2212yes—
80#1872C2212yes—
81#1865C2214yescomplemented
82#1862C2214yes—
83#1853C2212yes—
84#1852C2212yes—
85#1842C2212yescomplemented
86#1831C2212yescomplemented
87#1805C2214yescomplemented
88#1803C2212yescomplemented
89#1803C2212yescomplemented
90#1802C2212yes—
91#1802C2212yes—
92#1797C2212yes—
93#1797C2211yescharacteristic
94#1797C2211yescharacteristic
95#1787C2212yes—
96#1786C2212yes—
97C4×C4⋊C8C2212yescomplemented
98C4×C4⋊C8C2212yescomplemented
99C23×Q8C2311yescharacteristic
100C23×D4C2311yescharacteristic
101C24×C4—21no—
102C22×Q16C2314yes—
103C22×SD16C2314yes—
104C2×C4⋊Q8C2311yescharacteristic
105C2×C4⋊Q8C2311yescharacteristic
106C2×#125—21no—
107C2×#124—28no—
108C2×#124—21no—
109C2×#124—21no—
110C2×#124C2312yes—
111C2×#124C2312yes—
112C2×C22⋊Q8—21no—
113C2×C22⋊Q8C2312yes—
114C2×C4×Q8—21no—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—44no—
118C2×C4×Q8C2312yes—
119C2×C4×Q8C2312yes—
120C2×C4×Q8C2312yes—
121C2×C4×D4—21no—
122C2×C4×D4—21no—
123C2×C4×D4—44no—
124C2×C4×D4C2312yes—
125C2×C4×D4C2312yes—
126C22×C4⋊C4—21no—
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C42—21no—
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#475—44no—
143#474—44no—
144#464—216no—
145#462—44no—
146#461—44no—
147#451—44no—
148#450—44no—
149#431—44no—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2314yes—
155C2×C4⋊C8C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2312yes—
166C2×C4×C8C2314yes—
167#391—21no—
168#391—21no—
169#391—21no—
170#391—21no—
171#391—21no—
172#391—21no—
173#391C2312yes—
174#391C2312yes—
175#391C2312yes—
176#391C2312yes—
177#391C2312yes—
178#391C2312yes—
179#390—21no—
180#390—21no—
181#390C2312yes—
182#390C2312yes—
183#389—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389C2312yes—
192#389C2312yes—
193#389C2312yes—
194#389C2312yes—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#388—22no—
200#388—22no—
201#388—22no—
202#388—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#387—22no—
207#387—22no—
208#387—22no—
209#387—22no—
210#387—22no—
211#385—22no—
212#385—22no—
213#384C2311yescharacteristic
214#384C2311yescharacteristic
215#383—22no—
216#382—21no—
217#382—21no—
218#382—21no—
219#382—21no—
220#382—21no—
221#382C2312yes—
222#382C2312yes—
223#381—22no—
224#380—21no—
225#380—21no—
226#380—21no—
227#380C2312yes—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4C2312yes—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243#376—22no—
244C2×#95—21no—
245C2×#95—21no—
246C2×#95—21no—
247C2×#95—21no—
248C43D411yescharacteristic
249C43D411yescharacteristic
250C43D411yescharacteristic
251C43D411yescharacteristic
252C43C2311yescharacteristic
253C43C2311yescharacteristic
254C43C2311yescharacteristic
255C43C2311yescharacteristic
256#340C2314yes—
257#340C2314yes—
258#340C2314yes—
259#340C2314yes—
260#336C2314yes—
261#336C2312yes—
262#336C2312yes—
263C25—21no—
264C22×Q8—24no—
265C22×Q8—21no—
266C22×Q8—21no—
267C22×Q8—22no—
268C22×Q8—22no—
269C22×Q8—42no—
270C22×Q8C2412yes—
271C22×Q8C2412yes—
272C22×D4—24no—
273C22×D4—21no—
274C22×D4—22no—
275C22×D4—22no—
276C22×D4—42no—
277C22×D4C2412yes—
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—44no—
284C23×C4—44no—
285C23×C4—44no—
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2411yescharacteristic
293C2×Q16—28no—
294C2×Q16—44no—
295C2×Q16—44no—
296C2×SD16—28no—
297C2×SD16—44no—
298C2×SD16—44no—
299C22×C8C2414yes—
300C22×C8C2414yes—
301C4⋊Q8—24no—
302C4⋊Q8—24no—
303#125—44no—
304#124—28no—
305#124—28no—
306#124—24no—
307#124—24no—
308#124—24no—
309#124#4118yes—
310C22⋊Q8—24no—
311C22⋊Q8—24no—
312C22⋊Q8—44no—
313C4×Q8—28no—
314C4×Q8—24no—
315C4×Q8—24no—
316C4×Q8—42no—
317C4×Q8—42no—
318C4×Q8—44no—
319C4×Q8—44no—
320C4×Q8—44no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—42no—
324C4×D4—42no—
325C4×D4—44no—
326C4×D4—44no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—42no—
345C2×C4⋊C4—42no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—28no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C22⋊C4—44no—
369C2×C42—24no—
370C2×C42—24no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—42no—
380C2×C42—42no—
381C2×C42—44no—
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410#107—44no—
411#106—44no—
412C4⋊C8—28no—
413C4⋊C8—24no—
414C4⋊C8—24no—
415C4⋊C8—44no—
416#103—28no—
417#103—44no—
418#103—44no—
419#103—44no—
420#103—44no—
421#102—28no—
422#102—44no—
423#102—44no—
424C22⋊C8—24no—
425C22⋊C8—24no—
426C4×C8—44no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449C24—24no—
450C24—22no—
451C24—42no—
452C24—42no—
453C24—42no—
454C24—42no—
455C24—42no—
456C24—42no—
457C24C22×D411yescharacteristic
458C2×Q8—24no—
459C2×Q8—22no—
460C2×Q8—24no—
461C2×Q8—22no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—24no—
465C2×Q8—22no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—48no—
469C2×Q8—48no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8C2×#4114yes—
476C2×D4—24no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—48no—
483C2×D4—48no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4C2×#4114yes—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—816no—
528C22×C4#13514yes—
529C22×C4#13714yes—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4H(5,𝔽2)12yes—
544C22×C42−1+412yes—
545C22×C4C2511yescharacteristic
546Q16—88no—
547SD16—88no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—44no—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—21no—
611C42—21no—
612C42—22no—
613C42—21no—
614C42—21no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—44no—
620C42—44no—
621C42—44no—
622C42—44no—
623C42C2×#4114yes—
624C42H(5,𝔽2)14yes—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—24no—
630C23—48no—
631C23—48no—
632C23—48no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—84no—
640C23—84no—
641C23—84no—
642C23—84no—
643C23#53712yes—
644C23C2×#13512yes—
645C23C2×#13712yes—
646C23C23×D411yescharacteristic
647Q8—24no—
648Q8—24no—
649Q8—48no—
650Q8—42no—
651Q8—42no—
652Q8—44no—
653Q8—44no—
654Q8—84no—
655D4—24no—
656D4—24no—
657D4—48no—
658D4—42no—
659D4—42no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—28no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—28no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—24no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—48no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—88no—
719C2×C4—84no—
720C2×C4—84no—
721C2×C4—88no—
722C2×C4#52512yes—
723C2×C4#52512yes—
724C2×C4#53512yes—
725C2×C4#53512yes—
726C2×C4#53712yes—
727C2×C4C2×#13512yes—
728C2×C4C2×#13512yes—
729C2×C4C2×#13712yes—
730C2×C4C2×#13712yes—
731C2×C4#57512yes—
732C2×C4#57512yes—
733C2×C4C22×#4112yes—
734C2×C4C2×H(5,𝔽2)11yescharacteristic
735C2×C4C2×H(5,𝔽2)12yes—
736C2×C4C2×2−1+411yescharacteristic
737C8—44no—
738C8—44no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—44no—
746C22—44no—
747C22—44no—
748C22—816no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22#324814yes—
754C22C2×#52511yescharacteristic
755C22C2×#53511yescharacteristic
756C22C2×#53711yescharacteristic
757C22C22×#13511yescharacteristic
758C22C22×#13711yescharacteristic
759C22C2×#57511yescharacteristic
760C22C2×#57511yescharacteristic
761C4—22no—
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—22no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—44no—
773C4—41no—
774C4—82no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4#321114yes—
781C4#351912yes—
782C4#352012yes—
783C2—24no—
784C2—84no—
785C2#3523611yescharacteristic
786C2#6053611yescharacteristic
787C2#6056211yescharacteristic
788C2C2×#321111yescharacteristic
789C2#6080411yescharacteristic
790C2C2×#324811yescharacteristic
791C2#6091711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
3. #32954C2semidirect
5. #32906C2semidirect
7. #30135C2semidirect
8. #29122C2semidirect
9. #28372C2semidirect
10. #28281C2semidirect
11. #28254C2semidirect
12. #27686C2semidirect
13. #24502C2semidirect
16. #22150C2semidirect
17. #20808C2semidirect
21. C2×#475C22semidirect
24. C2×#462C22semidirect
31. #2863C22semidirect
32. #2862C22semidirect
33. #2859C22semidirect
39. C4×C4⋊Q8C22semidirect
40. C4×C4⋊Q8C22semidirect
53. #2295C22semidirect
63. #2101C22semidirect
64. #2097C22semidirect
65. #2068C22semidirect
67. #2056C22semidirect
72. #1969C22semidirect
74. #1949C22semidirect
76. #1933C22semidirect
77. #1878C22semidirect
81. #1865C22semidirect
85. #1842C22semidirect
86. #1831C22semidirect
87. #1805C22semidirect
88. #1803C22semidirect
89. #1803C22semidirect
97. C4×C4⋊C8C22semidirect
98. C4×C4⋊C8C22semidirect

Maximal subgroups

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

subgroupindex
#366352
C2×C4×#1242
#329542
#329532
#329062
#329052
#301352
#291222
#283722
#282812
#282542
#276862
#245022
#245012
#242172
#221502
#208082