Finite Group Databasebeta

← #6484386

Subgroups — #6484386

Order 512.

1866 conjugacy classes of subgroups.

The subgroup lattice has 781 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#32957C211yesmaximal, characteristic, complemented
4#32956C211yesmaximal, characteristic
5#32954C211yesmaximal, characteristic, complemented
6#32953C211yesmaximal, characteristic
7#29957C212yesmaximal, complemented
8#29956C212yesmaximal
9#29261C214yesmaximal, complemented
10#29194C214yesmaximal, complemented
11#29140C212yesmaximal, complemented
12#28510C212yesmaximal, complemented
13#28282C212yesmaximal, complemented
14#28281C212yesmaximal, complemented
15#21983C212yesmaximal, complemented
16#21806C212yesmaximal
17#20808C211yesmaximal, characteristic, complemented
18C22×#124C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#477C2212yescomplemented
22C2×#475C2212yescomplemented
23C2×#476C2212yes—
24C2×#474C2212yes—
25C2×#431C2212yes—
26#2864C2212yescomplemented
27#2863—21no—
28#2863—21no—
29#2862C2211yescharacteristic, complemented
30#2859C2211yescharacteristic, complemented
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2855—21no—
34#2855—21no—
35#2851C2212yes—
36C4×C4⋊Q8C2211yescharacteristic, complemented
37C4×C4⋊Q8C2211yescharacteristic, complemented
38C4×#125C2212yescomplemented
39C4×#124—21no—
40C4×#124—21no—
41C4×#124—21no—
42C4×#124—21no—
43C4×#124C2212yes—
44C4×#124C2212yes—
45C4×#124C2212yes—
46C4×#124C2212yes—
47C4×C22⋊Q8—21no—
48C4×C22⋊Q8—21no—
49#2295—21no—
50#2295—21no—
51C2×#391C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#388—21no—
54C2×#388—21no—
55#2283C2212yes—
56C2×#382C2211yescharacteristic
57C2×C4×C22⋊C4—21no—
58C2×C4×C22⋊C4—21no—
59C2×C43C2211yescharacteristic
60#2097C2214yescomplemented
61#2092C2214yes—
62#2068C2214yescomplemented
63#2067C2214yes—
64#2066C2214yescomplemented
65#2065C2214yes—
66#2026C2214yescomplemented
67#2025C2214yes—
68#1983C2214yes—
69#1983C2214yes—
70#1958C2214yes—
71#1958C2214yes—
72#1949C2214yescomplemented
73#1949C2214yescomplemented
74#1865C2214yescomplemented
75#1864C2214yes—
76#1863C2214yescomplemented
77#1862C2214yes—
78#1853C2212yes—
79#1853C2212yes—
80#1852C2212yes—
81#1852C2212yes—
82#1846C2214yescomplemented
83#1842C2212yescomplemented
84#1835C2214yescomplemented
85#1831C2212yescomplemented
86#1803C2212yescomplemented
87#1803C2212yescomplemented
88#1802C2212yes—
89#1802C2212yes—
90#1797C2212yes—
91#1797C2211yescharacteristic
92#1797C2211yescharacteristic
93#1787C2212yes—
94#1787C2212yes—
95#1786C2212yes—
96#1786C2212yes—
97C4×C4⋊C8C2212yescomplemented
98C4×C4⋊C8C2212yescomplemented
99C23×Q8C2311yescharacteristic
100C23×D4C2311yescharacteristic
101C24×C4—21no—
102C2×C4⋊Q8C2311yescharacteristic
103C2×C4⋊Q8C2311yescharacteristic
104C2×#125C2312yes—
105C2×#124—21no—
106C2×#124—21no—
107C2×#124—24no—
108C2×#124Q818yescomplemented
109C2×#124C2312yes—
110C2×#124C2312yes—
111C2×C22⋊Q8—21no—
112C2×C22⋊Q8—21no—
113C2×C4×Q8—21no—
114C2×C4×Q8—21no—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—44no—
118C2×C4×Q8C2312yes—
119C2×C4×Q8C2312yes—
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—44no—
123C2×C4×D4C2312yes—
124C2×C4×D4C2312yes—
125C22×C4⋊C4—21no—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C42—21no—
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141#477—44no—
142#476—44no—
143#475—44no—
144#474—44no—
145#431—28no—
146C2×#107C2314yes—
147C2×#107C2314yes—
148C2×#106C2314yes—
149C2×#106C2314yes—
150C2×C4⋊C8C2312yes—
151C2×C4⋊C8C2312yes—
152C2×C4⋊C8C2314yes—
153C2×C4⋊C8C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C2×C4×C8C2314yes—
165#391—21no—
166#391—21no—
167#391—21no—
168#391—21no—
169#391—21no—
170#391—21no—
171#391—21no—
172#391—21no—
173#391—21no—
174#391—21no—
175#391C2312yes—
176#391C2312yes—
177#390—21no—
178#390—21no—
179#390C2312yes—
180#390C2312yes—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389C2312yes—
190#389C2312yes—
191#389C2312yes—
192#389C2312yes—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#388—22no—
200#388—22no—
201#387—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#387—22no—
207#387—22no—
208#387—22no—
209#385—22no—
210#385—22no—
211#384C2311yescharacteristic
212#384C2311yescharacteristic
213#383—22no—
214#382—21no—
215#382—21no—
216#382C2312yes—
217#382C2312yes—
218#382C2312yes—
219#382C2312yes—
220#382C2312yes—
221#381—22no—
222#380—21no—
223#380—21no—
224#380C2312yes—
225#380C2312yes—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4C2312yes—
231C4×C4⋊C4C2312yes—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
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—
241#376—22no—
242C2×#95—21no—
243C2×#95—21no—
244C2×#95—21no—
245C2×#95—21no—
246C43D411yescharacteristic
247C43D411yescharacteristic
248C43D411yescharacteristic
249C43D411yescharacteristic
250C43C2311yescharacteristic
251C43C2311yescharacteristic
252C43C2311yescharacteristic
253C43C2311yescharacteristic
254#340C2314yes—
255#340C2314yes—
256#340C2314yes—
257#340C2314yes—
258#336C2314yes—
259#336C2312yes—
260#336C2312yes—
261C25—21no—
262C22×Q8—21no—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8—22no—
266C22×Q8—42no—
267C22×Q8—42no—
268C22×Q8C2×Q814yes—
269C22×Q8C2412yes—
270C22×D4—21no—
271C22×D4—22no—
272C22×D4—42no—
273C22×D4—42no—
274C22×D4C2×Q814yes—
275C22×D4C2412yes—
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—22no—
280C23×C4—22no—
281C23×C4—44no—
282C23×C4—44no—
283C23×C4—44no—
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2411yescharacteristic
291C22×C8C2414yes—
292C22×C8C2414yes—
293C4⋊Q8—24no—
294C4⋊Q8—24no—
295#125—44no—
296#124—28no—
297#124—28no—
298#124—24no—
299#124—24no—
300#124C2×Q818yes—
301#124C2×Q818yes—
302C22⋊Q8—44no—
303C22⋊Q8—44no—
304C4×Q8—24no—
305C4×Q8—24no—
306C4×Q8—42no—
307C4×Q8—42no—
308C4×Q8—44no—
309C4×Q8—44no—
310C4×Q8—44no—
311C4×Q8—44no—
312C4×D4—24no—
313C4×D4—24no—
314C4×D4—42no—
315C4×D4—42no—
316C4×D4—44no—
317C4×D4—44no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—42no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C22⋊C4—28no—
344C2×C22⋊C4—28no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—22no—
363C2×C42—22no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—42no—
367C2×C42—42no—
368C2×C42—42no—
369C2×C42—42no—
370C2×C42—44no—
371C2×C42C2×D411yescharacteristic
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
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×Q814yes—
394C2×C42#4114yes—
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401#107—44no—
402#107—44no—
403#106—44no—
404#106—44no—
405C4⋊C8—28no—
406C4⋊C8—24no—
407C4⋊C8—24no—
408C4⋊C8—44no—
409#103—44no—
410#103—44no—
411#103—44no—
412#103—44no—
413#102—44no—
414#102—44no—
415#102—44no—
416#102—44no—
417C22⋊C8—24no—
418C22⋊C8—24no—
419C4×C8—28no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
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—
442C24—24no—
443C24—22no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24—42no—
448C24—42no—
449C24—42no—
450C24C22×D411yescharacteristic
451C2×Q8—24no—
452C2×Q8—22no—
453C2×Q8—22no—
454C2×Q8—22no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—48no—
458C2×Q8—42no—
459C2×Q8—42no—
460C2×Q8—48no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—42no—
466C2×Q8—42no—
467C2×Q8C22×Q814yes—
468C2×D4—24no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—48no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—48no—
478C2×D4C22×Q814yes—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—24no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—816no—
519C22×C4C22⋊Q814yes—
520C22×C4C22⋊Q814yes—
521C22×C4#13514yes—
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×Q812yes—
536C22×C4C2×#4112yes—
537C22×C4C2511yescharacteristic
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C22⋊C4—28no—
569C22⋊C4—28no—
570C22⋊C4—28no—
571C22⋊C4—28no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—41no—
594C42—41no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—44no—
604C42—44no—
605C42—44no—
606C42—44no—
607C42C22⋊Q814yes—
608C42C22⋊Q814yes—
609C42C22×Q812yes—
610C42C22×Q812yes—
611C42C2×#4112yes—
612C42C2×#4112yes—
613C42H(5,𝔽2)14yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—24no—
619C23—48no—
620C23—48no—
621C23—48no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23C2×C22⋊Q812yes—
633C23C2×#13512yes—
634C23#57512yes—
635C23C23×D411yescharacteristic
636Q8—24no—
637Q8—24no—
638Q8—48no—
639Q8—42no—
640Q8—42no—
641Q8—84no—
642Q8—84no—
643D4—24no—
644D4—24no—
645D4—48no—
646D4—42no—
647D4—42no—
648C2×C4—28no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—28no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
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—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—48no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
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—88no—
707C2×C4—84no—
708C2×C4—84no—
709C2×C4—88no—
710C2×C4C2×C22⋊Q812yes—
711C2×C4C2×C22⋊Q812yes—
712C2×C4C2×C22⋊Q812yes—
713C2×C4C2×C22⋊Q812yes—
714C2×C4C2×C22⋊Q812yes—
715C2×C4#53512yes—
716C2×C4#53512yes—
717C2×C4C2×#13512yes—
718C2×C4C2×#13512yes—
719C2×C4#57512yes—
720C2×C4#57512yes—
721C2×C4C23×Q811yescharacteristic
722C2×C4C22×#4111yescharacteristic
723C2×C4C2×H(5,𝔽2)12yes—
724C2×C4#58512yes—
725C8—44no—
726C8—44no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—44no—
734C22—44no—
735C22—44no—
736C22—816no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22#307614yes—
742C22C22×C22⋊Q811yescharacteristic
743C22C2×#53511yescharacteristic
744C22#344911yescharacteristic
745C22C22×#13511yescharacteristic
746C22C2×#57511yescharacteristic
747C22C2×#57511yescharacteristic
748C22C2×#57511yescharacteristic
749C4—22no—
750C4—22no—
751C4—22no—
752C4—22no—
753C4—22no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—44no—
761C4—41no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4#321114yes—
769C4#350112yes—
770C4#350612yes—
771C2—24no—
772C2—84no—
773C2#3517211yescharacteristic
774C2C2×#307611yescharacteristic
775C2#6048411yescharacteristic
776C2C2×#321111yescharacteristic
777C2#6080511yescharacteristic
778C2#6094211yescharacteristic
779C2#6097011yescharacteristic
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. #32957C2semidirect
5. #32954C2semidirect
7. #29957C2semidirect
9. #29261C2semidirect
10. #29194C2semidirect
11. #29140C2semidirect
12. #28510C2semidirect
13. #28282C2semidirect
14. #28281C2semidirect
15. #21983C2semidirect
17. #20808C2semidirect
21. C2×#477C22semidirect
22. C2×#475C22semidirect
26. #2864C22semidirect
29. #2862C22semidirect
30. #2859C22semidirect
36. C4×C4⋊Q8C22semidirect
37. C4×C4⋊Q8C22semidirect
38. C4×#125C22semidirect
60. #2097C22semidirect
62. #2068C22semidirect
64. #2066C22semidirect
66. #2026C22semidirect
72. #1949C22semidirect
73. #1949C22semidirect
74. #1865C22semidirect
76. #1863C22semidirect
82. #1846C22semidirect
83. #1842C22semidirect
84. #1835C22semidirect
85. #1831C22semidirect
86. #1803C22semidirect
87. #1803C22semidirect
97. C4×C4⋊C8C22semidirect
98. C4×C4⋊C8C22semidirect
108. C2×#124Q8semidirect

Maximal subgroups

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

subgroupindex
#366352
C2×C4×#1242
#329572
#329562
#329542
#329532
#299572
#299562
#292612
#291942
#291402
#285102
#282822
#282812
#219832
#218062
#208082