Finite Group Databasebeta

← #6471411

Subgroups — #6471411

Order 512.

2580 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35005C211yesmaximal, characteristic, complemented
2C2×#2341C211yesmaximal, characteristic, complemented
3#32957C211yesmaximal, characteristic, complemented
4#32903C211yesmaximal, characteristic, complemented
5#32880C212yesmaximal, complemented
6#29952C211yesmaximal, characteristic, complemented
7#29891C212yesmaximal, complemented
8#29712C211yesmaximal, characteristic, complemented
9#27527C214yesmaximal, complemented
10#27231C214yesmaximal, complemented
11#25159C214yesmaximal, complemented
12#24896C214yesmaximal, complemented
13#22040C212yesmaximal, complemented
14#21902C211yesmaximal, characteristic, complemented
15C4×#448C212yesmaximal, complemented
16C23×#41C2211yescharacteristic
17C2×#538—21no—
18C22×C4×Q8C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C2×#477C2212yescomplemented
21C2×#460C2212yescomplemented
22C2×#449C2214yes—
23C2×#449C2214yes—
24C2×#448C2212yes—
25C2×#447C2212yes—
26C2×C4×SD16C2214yescomplemented
27#2857C2211yescharacteristic
28#2856C2211yescharacteristic
29#2847C2212yes—
30#2639—21no—
31#2617—21no—
32#2559—22no—
33#2557—22no—
34#2496C2212yescomplemented
35#2491C2212yescomplemented
36#2428C2212yescomplemented
37#2422C2212yescomplemented
38#2341—22no—
39#2341—22no—
40#2341C2214yes—
41#2341C2214yes—
42#2325—21no—
43C4×#121C2212yes—
44C2×#390—21no—
45C2×#390—21no—
46C2×#390C2211yescharacteristic
47C2×#390C2211yescharacteristic
48C2×#380—21no—
49C2×#380C2211yescharacteristic
50C2×C4×C22⋊C4—21no—
51C2×C4×C22⋊C4C2211yescharacteristic
52#2094C2212yescomplemented
53#2077C2214yescomplemented
54#2076C2214yescomplemented
55#2071C2212yescomplemented
56#2065C2214yescomplemented
57#2054C2214yescomplemented
58#2034C2214yescomplemented
59#2033C2214yescomplemented
60#2023C2212yescomplemented
61#2011C2212yescomplemented
62#1970C2214yescomplemented
63#1934C2214yescomplemented
64#1925C2214yescomplemented
65#1923C2214yescomplemented
66#1923C2214yescomplemented
67#1880C2214yescomplemented
68#1880C2214yescomplemented
69#1879C2214yescomplemented
70#1874C2212yes—
71#1874C2212yes—
72#1865C2214yescomplemented
73#1863C2214yescomplemented
74#1853C2212yes—
75#1852C2212yes—
76#1803C2212yescomplemented
77#1803C2212yescomplemented
78#1797C2211yescharacteristic
79#1797C2211yescharacteristic
80#1788C2214yes—
81#1788C2214yes—
82#1787C2212yes—
83#1786C2212yes—
84#1779C2212yes—
85C4×#103C2214yescomplemented
86C4×C22⋊C8C2212yes—
87C22×#41—24no—
88C22×#41—24no—
89C22×#41—22no—
90C22×#41—44no—
91C22×#41—44no—
92C22×#41C2314yes—
93C23×Q8C2311yescharacteristic
94C23×D4—21no—
95C23×D4C2311yescharacteristic
96C24×C4—21no—
97C24×C4C2311yescharacteristic
98C22×SD16C2314yes—
99C22×D8C2314yes—
100#538—48no—
101C2×C4⋊Q8C2311yescharacteristic
102C2×#127C2311yescharacteristic
103C2×#126—22no—
104C2×#124—22no—
105C2×#123—22no—
106C2×C22⋊Q8—21no—
107C2×#121—21no—
108C2×#121—21no—
109C2×#121—22no—
110C2×#121C2312yes—
111C2×#121C2312yes—
112C2×#121C2312yes—
113C2×#120—22no—
114C2×C4×Q8—22no—
115C2×C4×Q8—21no—
116C2×C4×Q8—21no—
117C2×C4×Q8—44no—
118C2×C4×Q8—44no—
119C2×C4×Q8C2312yes—
120C2×C4×Q8C2312yes—
121C2×C4×Q8C2314yes—
122C2×C4×D4—22no—
123C2×C4×D4C2312yes—
124C22×C4⋊C4—21no—
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×C22⋊C4D411yescharacteristic
134C22×C22⋊C4D411yescharacteristic
135C22×C42—21no—
136C22×C42—21no—
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139#477—44no—
140#460—44no—
141#449—48no—
142#449—48no—
143#448—28no—
144#447—28no—
145C4×SD16—48no—
146C2×#107C2314yes—
147C2×#106C2314yes—
148C2×C4⋊C8C2312yes—
149C2×C4⋊C8C2312yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#102C2314yes—
154C2×#102C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162C2×C4×C8C2314yes—
163#400—22no—
164#397—22no—
165#397—22no—
166#394—22no—
167#394—22no—
168#394—22no—
169#393—22no—
170#392—22no—
171#391—21no—
172#390—24no—
173#390—24no—
174#390—24no—
175#390—24no—
176#390—22no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390—21no—
181#390C2312yes—
182#390C2312yes—
183#390C2312yes—
184#390C2314yes—
185#390C2312yes—
186#389—21no—
187#389C2312yes—
188#389C2312yes—
189#388—22no—
190#388—22no—
191#387—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#385—22no—
198#384C2311yescharacteristic
199#384C2311yescharacteristic
200#380—21no—
201#380—22no—
202#380—24no—
203#380—24no—
204#380C2312yes—
205#380C2314yes—
206#380C2312yes—
207#380C2312yes—
208C4×C4⋊C4C2312yes—
209C4×C22⋊C4—22no—
210C4×C22⋊C4—24no—
211C4×C22⋊C4—24no—
212C4×C22⋊C4D412yes—
213C4×C22⋊C4D412yes—
214C4×C22⋊C4C2312yes—
215C4×C22⋊C4C2312yes—
216C2×#95—21no—
217C2×#95D411yescharacteristic
218C2×#95D411yescharacteristic
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#340C2314yes—
223#336C2312yes—
224#336C2312yes—
225#336C2314yes—
226C25—21no—
227C25C2×D411yescharacteristic
228C2×#41—216no—
229C2×#41—28no—
230C2×#41—28no—
231C2×#41—28no—
232C2×#41—28no—
233C2×#41—44no—
234C2×#41—44no—
235C2×#41—48no—
236C2×#41—48no—
237C2×#41—432no—
238C2×#41—432no—
239C22×Q8—24no—
240C22×Q8—24no—
241C22×Q8—21no—
242C22×Q8—21no—
243C22×Q8—22no—
244C22×Q8#4114yes—
245C22×Q8C2412yes—
246C22×D4—28no—
247C22×D4—24no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—21no—
252C22×D4—21no—
253C22×D4—21no—
254C22×D4—22no—
255C22×D4—42no—
256C22×D4—42no—
257C22×D4—44no—
258C22×D4—44no—
259C22×D4#4114yes—
260C22×D4C2412yes—
261C22×D4C2412yes—
262C23×C4—21no—
263C23×C4—28no—
264C23×C4—24no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—22no—
270C23×C4—42no—
271C23×C4—42no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D412yes—
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2412yes—
281C23×C4C2411yescharacteristic
282C2×SD16—28no—
283C2×SD16—28no—
284C2×SD16—28no—
285C2×D8—28no—
286C2×D8—44no—
287C2×D8—44no—
288C22×C8C2414yes—
289C22×C8C2414yes—
290C4⋊Q8—42no—
291#127—42no—
292#126—48no—
293#124—48no—
294#123—48no—
295C22⋊Q8—44no—
296#121—24no—
297#121—24no—
298#121—48no—
299#121—44no—
300#121—44no—
301#121—44no—
302#121—44no—
303#120—48no—
304C4×Q8—28no—
305C4×Q8—24no—
306C4×Q8—24no—
307C4×Q8—44no—
308C4×Q8—42no—
309C4×Q8—42no—
310C4×Q8—44no—
311C4×Q8—48no—
312C4×Q8—44no—
313C4×D4—44no—
314C4×D4—48no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4C2412yes—
332C2×C4⋊C4C2412yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
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—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—82no—
359C2×C22⋊C4—82no—
360C2×C22⋊C4—82no—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—24no—
369C2×C42—42no—
370C2×C42—42no—
371C2×C42—44no—
372C2×C42—44no—
373C2×C42C2×D412yes—
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2412yes—
377C2×C42C2411yescharacteristic
378C2×C42C2411yescharacteristic
379#107—44no—
380#106—44no—
381C4⋊C8—42no—
382C4⋊C8—42no—
383#103—28no—
384#103—28no—
385#103—28no—
386#102—28no—
387#102—44no—
388#102—44no—
389#102—44no—
390#102—44no—
391C22⋊C8—24no—
392C22⋊C8—24no—
393C22⋊C8—44no—
394C22⋊C8—44no—
395C4×C8—44no—
396#95—24no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95C2×D412yes—
404#95C2×D412yes—
405#95C2×D412yes—
406#95C2×D412yes—
407C24—22no—
408C24—24no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—41no—
414C24—41no—
415C24—41no—
416C24—41no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24C22×D412yes—
424C24C22×D411yescharacteristic
425#41—416no—
426#41—416no—
427#41—464no—
428#41—416no—
429#41—416no—
430C2×Q8—24no—
431C2×Q8—24no—
432C2×Q8—216no—
433C2×Q8—216no—
434C2×Q8—24no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8—22no—
438C2×Q8—42no—
439C2×Q8—81no—
440C2×Q8—81no—
441C2×Q8C2×#4114yes—
442C2×Q8H(5,𝔽2)14yes—
443C2×Q8H(5,𝔽2)14yes—
444C2×D4—216no—
445C2×D4—24no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—24no—
452C2×D4—24no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—48no—
456C2×D4—432no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—48no—
460C2×D4—42no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—42no—
467C2×D4—81no—
468C2×D4—81no—
469C2×D4—81no—
470C2×D4—81no—
471C2×D4—82no—
472C2×D4—82no—
473C2×D4—82no—
474C2×D4—82no—
475C2×D4C2×#4114yes—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—216no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—432no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—82no—
521C22×C4—82no—
522C22×C4#13514yes—
523C22×C4AGL(1,ℤ/8)14yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D412yes—
532C22×C4C2×#4112yes—
533C22×C4C2×#4112yes—
534C22×C4C2511yescharacteristic
535SD16—416no—
536D8—88no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—48no—
551C4⋊C4—44no—
552C4⋊C4—44no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—48no—
575C22⋊C4—44no—
576C22⋊C4—82no—
577C22⋊C4—84no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C22⋊C4—84no—
584C42—24no—
585C42—22no—
586C42—22no—
587C42—41no—
588C42—42no—
589C42—41no—
590C42—44no—
591C42—48no—
592C42—44no—
593C42—44no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—24no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—48no—
607C23—44no—
608C23—44no—
609C23—48no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—48no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—82no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23#52512yes—
634C23C2×#13512yes—
635C23C2×AGL(1,ℤ/8)12yes—
636C23C23×D411yescharacteristic
637Q8—216no—
638Q8—24no—
639Q8—24no—
640Q8—24no—
641Q8—162no—
642Q8#53818yescomplemented
643D4—28no—
644D4—432no—
645D4—48no—
646D4—44no—
647D4—44no—
648D4—44no—
649D4—88no—
650D4—162no—
651D4—162no—
652D4—164no—
653D4—164no—
654C2×C4—216no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—24no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—432no—
683C2×C4—48no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
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—82no—
703C2×C4—82no—
704C2×C4—84no—
705C2×C4—84no—
706C2×C4—164no—
707C2×C4#52512yes—
708C2×C4C2×#13512yes—
709C2×C4C2×#13512yes—
710C2×C4C2×AGL(1,ℤ/8)14yes—
711C2×C4C22×#4111yescharacteristic
712C2×C4C22×#4111yescharacteristic
713C2×C4C2×H(5,𝔽2)12yes—
714C2×C4C2×H(5,𝔽2)12yes—
715C8—44no—
716C8—44no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—42no—
724C22—44no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—44no—
731C22—44no—
732C22—42no—
733C22—88no—
734C22—816no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22#310614yes—
747C22C2×#52511yescharacteristic
748C22#348411yescharacteristic
749C22#348411yescharacteristic
750C22C22×#13511yescharacteristic
751C22C22×AGL(1,ℤ/8)11yescharacteristic
752C22#358511yescharacteristic
753C22#358611yescharacteristic
754C4—22no—
755C4—22no—
756C4—24no—
757C4—28no—
758C4—22no—
759C4—42no—
760C4—41no—
761C4—41no—
762C4—42no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4C2×#53812yes—
769C4#349012yes—
770C2—24no—
771C2—82no—
772C2—84no—
773C2—162no—
774C2#3498811yescharacteristic
775C2C2×#310611yescharacteristic
776C2#6056511yescharacteristic
777C2#6156411yescharacteristic
778C2#6156611yescharacteristic
779C2#6157211yescharacteristic
780C2#6158711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35005C2semidirect
2. C2×#2341C2semidirect
3. #32957C2semidirect
4. #32903C2semidirect
5. #32880C2semidirect
6. #29952C2semidirect
7. #29891C2semidirect
8. #29712C2semidirect
9. #27527C2semidirect
10. #27231C2semidirect
11. #25159C2semidirect
12. #24896C2semidirect
13. #22040C2semidirect
14. #21902C2semidirect
15. C4×#448C2semidirect
20. C2×#477C22semidirect
21. C2×#460C22semidirect
26. C2×C4×SD16C22semidirect
34. #2496C22semidirect
35. #2491C22semidirect
36. #2428C22semidirect
37. #2422C22semidirect
52. #2094C22semidirect
53. #2077C22semidirect
54. #2076C22semidirect
55. #2071C22semidirect
56. #2065C22semidirect
57. #2054C22semidirect
58. #2034C22semidirect
59. #2033C22semidirect
60. #2023C22semidirect
61. #2011C22semidirect
62. #1970C22semidirect
63. #1934C22semidirect
64. #1925C22semidirect
65. #1923C22semidirect
66. #1923C22semidirect
67. #1880C22semidirect
68. #1880C22semidirect
69. #1879C22semidirect
72. #1865C22semidirect
73. #1863C22semidirect
76. #1803C22semidirect
77. #1803C22semidirect
85. C4×#103C22semidirect
642. Q8#538semidirect

Maximal subgroups

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

subgroupindex
#350052
C2×#23412
#329572
#329032
#328802
#299522
#298912
#297122
#275272
#272312
#251592
#248962
#220402
#219022
C4×#4482