Finite Group Databasebeta

← #6476669

Subgroups — #6476669

Order 512.

2660 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2856C211yesmaximal, characteristic
2C2×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
3#33107C212yesmaximal, complemented
4#32903C212yesmaximal, complemented
5#30108C214yesmaximal, complemented
6#29328C212yesmaximal, complemented
7#28305C212yesmaximal, complemented
8#27680C212yesmaximal, complemented
9#24653C214yesmaximal, complemented
10#24211C212yesmaximal, complemented
11#24005C212yesmaximal, complemented
12#23919C212yesmaximal, complemented
13#22043C214yesmaximal, complemented
14#20714C211yesmaximal, characteristic, complemented
15C22×#127C2211yescharacteristic
16C22×C22⋊Q8C2211yescharacteristic
17C22×#121—21no—
18C22×#121—21no—
19C22×#121C2212yes—
20C22×C4×Q8C2211yescharacteristic, complemented
21C23×C42C2211yescharacteristic
22C2×#481C2214yescomplemented
23C2×#460C2214yescomplemented
24C2×#448C2214yescomplemented
25C2×#450C2214yes—
26C2×#431C2212yescomplemented
27#2856—21no—
28#2856—21no—
29#2856—21no—
30#2856—21no—
31#2856C2212yes—
32#2856C2212yes—
33#2856C2212yes—
34#2856C2212yes—
35C4×C22⋊Q8—21no—
36C4×C22⋊Q8—21no—
37C4×C22⋊Q8—21no—
38C4×C22⋊Q8—21no—
39C4×C22⋊Q8C2212yes—
40C4×C22⋊Q8C2212yes—
41C4×C22⋊Q8C2212yescomplemented
42C4×C22⋊Q8C2212yescomplemented
43C2×#391C2211yescharacteristic, complemented
44C2×#390—21no—
45C2×#390—21no—
46C2×#390C2212yes—
47C2×#389C2211yescharacteristic, complemented
48C2×#387—21no—
49C2×#385—21no—
50C2×#384C2211yescharacteristic
51C2×#380C2211yescharacteristic
52C2×C4×C4⋊C4—21no—
53C2×C4×C4⋊C4C2211yescharacteristic, complemented
54C2×C4×C22⋊C4—21no—
55#2099C2214yescomplemented
56#2096C2214yescomplemented
57#2041C2214yescomplemented
58#2034C2218yescomplemented
59#2014C2214yescomplemented
60#2000C2218yescomplemented
61#1982C2214yescomplemented
62#1968C2218yescomplemented
63#1948C2214yescomplemented
64#1934C2218yescomplemented
65#1926C2218yescomplemented
66#1880C2218yescomplemented
67#1874C2214yescomplemented
68#1874C2214yescomplemented
69#1872C2214yes—
70#1853C2214yes—
71#1817C2212yescomplemented
72#1803C2214yescomplemented
73#1797C2212yes—
74#1797C2212yescomplemented
75#1786C2214yes—
76#1779C2212yes—
77C4×C22⋊C8C2212yes—
78C4×C22⋊C8C2212yescomplemented
79C23×Q8C2311yescharacteristic
80C23×D4—22no—
81C23×D4—21no—
82C23×D4—21no—
83C23×D4C2312yes—
84C24×C4D411yescharacteristic
85C24×C4D411yescharacteristic
86C24×C4C2311yescharacteristic
87C22×SD16C2318yes—
88C2×#127—21no—
89C2×#127—21no—
90C2×#127—44no—
91C2×#127C2312yes—
92C2×#127C2312yes—
93C2×C22⋊Q8—21no—
94C2×C22⋊Q8—21no—
95C2×C22⋊Q8—28no—
96C2×C22⋊Q8C2312yes—
97C2×C22⋊Q8C2312yes—
98C2×#121—22no—
99C2×#121—22no—
100C2×#121—22no—
101C2×#121—22no—
102C2×#121—22no—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—22no—
106C2×#121—22no—
107C2×#121—22no—
108C2×#121—48no—
109C2×#121—48no—
110C2×#121—48no—
111C2×#121C2314yes—
112C2×#121C2314yes—
113C2×C4×Q8—21no—
114C2×C4×Q8—21no—
115C2×C4×Q8—44no—
116C2×C4×Q8C2312yes—
117C2×C4×Q8C2312yes—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—22no—
130C22×C22⋊C4—22no—
131C22×C22⋊C4—22no—
132C22×C42—21no—
133C22×C42—21no—
134C22×C42—44no—
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42D411yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147#481—48no—
148#460—48no—
149#450—216no—
150#448—48no—
151#431—44no—
152C2×#106C2318yes—
153C2×C4⋊C8C2314yes—
154C2×#103C2318yes—
155C2×#102C2318yes—
156C2×#102C2318yes—
157C2×#102C2318yes—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161C2×C4×C8C2314yes—
162#391—21no—
163#391—21no—
164#391C2312yes—
165#391C2312yes—
166#390—22no—
167#390—22no—
168#390—22no—
169#390—22no—
170#390—22no—
171#390—22no—
172#390—22no—
173#390—22no—
174#390—22no—
175#390—22no—
176#390C2314yes—
177#390C2314yes—
178#389—21no—
179#389—21no—
180#389C2312yes—
181#389C2312yes—
182#387—22no—
183#387—22no—
184#387—22no—
185#387—22no—
186#385—22no—
187#385—22no—
188#385—22no—
189#385—22no—
190#384—21no—
191#384—21no—
192#384C2312yes—
193#384C2312yes—
194#380—21no—
195#380—21no—
196#380C2312yes—
197#380C2312yes—
198C4×C4⋊C4—22no—
199C4×C4⋊C4—22no—
200C4×C4⋊C4—22no—
201C4×C4⋊C4—22no—
202C4×C4⋊C4—21no—
203C4×C4⋊C4—21no—
204C4×C4⋊C4C2312yes—
205C4×C4⋊C4C2312yes—
206C4×C22⋊C4—22no—
207C4×C22⋊C4—22no—
208C4×C22⋊C4—22no—
209C4×C22⋊C4—22no—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214C2×#95—21no—
215#340C2318yes—
216#340C2318yes—
217#336C2314yes—
218#336C2314yes—
219C25—22no—
220C25C2×D411yescharacteristic
221C22×Q8—24no—
222C22×Q8—21no—
223C22×Q8—24no—
224C22×Q8—42no—
225C22×Q8C2412yes—
226C22×D4—24no—
227C22×D4—24no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—22no—
233C22×D4—28no—
234C22×D4—44no—
235C22×D4—44no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—48no—
242C22×D4—48no—
243C22×D4—48no—
244C22×D4—44no—
245C22×D4C2414yes—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—24no—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—22no—
252C23×C4—21no—
253C23×C4—21no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4SD1618yescomplemented
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277C23×C4C2411yescharacteristic
278C2×SD16—216no—
279C2×SD16—48no—
280C2×SD16—48no—
281C22×C8C2418yes—
282#127—28no—
283#127—44no—
284#127—44no—
285#127—44no—
286C22⋊Q8—28no—
287C22⋊Q8—28no—
288C22⋊Q8—24no—
289C22⋊Q8—24no—
290C22⋊Q8—24no—
291C22⋊Q8#4118yes—
292#121—28no—
293#121—28no—
294#121—44no—
295#121—44no—
296#121—48no—
297#121—48no—
298#121—48no—
299#121—48no—
300#121—48no—
301#121—48no—
302#121—48no—
303#121—48no—
304#121—48no—
305#121—48no—
306C4×Q8—28no—
307C4×Q8—44no—
308C4×Q8—44no—
309C4×Q8—44no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2414yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C22⋊C4—28no—
338C2×C22⋊C4—22no—
339C2×C22⋊C4—22no—
340C2×C22⋊C4—22no—
341C2×C22⋊C4—22no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—24no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—48no—
349C2×C22⋊C4—48no—
350C2×C22⋊C4—44no—
351C2×C22⋊C4—48no—
352C2×C42—24no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—22no—
356C2×C42—22no—
357C2×C42—22no—
358C2×C42—22no—
359C2×C42—42no—
360C2×C42—42no—
361C2×C42—42no—
362C2×C42—42no—
363C2×C42—42no—
364C2×C42—42no—
365C2×C42—42no—
366C2×C42—42no—
367C2×C42—42no—
368C2×C42—44no—
369C2×C42—44no—
370C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
383C2×C42C2411yescharacteristic
384C2×C42C2411yescharacteristic
385C2×C42C2411yescharacteristic
386#106—48no—
387C4⋊C8—28no—
388#103—48no—
389#102—216no—
390#102—48no—
391#102—48no—
392C22⋊C8—28no—
393C22⋊C8—28no—
394C22⋊C8—44no—
395C4×C8—44no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406C24—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—24no—
411C24—41no—
412C24—41no—
413C24—44no—
414C24—44no—
415C24—44no—
416C24—44no—
417C24—44no—
418C24—44no—
419C24—44no—
420C24C2×SD1614yes—
421C24C22×D411yescharacteristic
422C24C22×D411yescharacteristic
423C24C22×D411yescharacteristic
424C2×Q8—24no—
425C2×Q8—22no—
426C2×Q8—24no—
427C2×Q8—24no—
428C2×Q8—416no—
429C2×Q8—42no—
430C2×Q8—42no—
431C2×Q8C2×#4114yes—
432C2×D4—28no—
433C2×D4—24no—
434C2×D4—28no—
435C2×D4—24no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—44no—
440C2×D4—44no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—48no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—48no—
449C2×D4—48no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—816no—
458C2×D4—816no—
459C2×D4—816no—
460C2×D4—832no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
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—24no—
497C22×C4—416no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—416no—
515C22×C4—416no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4C2×SD1614yes—
530C22×C4C2×SD1614yes—
531C22×C4C2×SD1614yes—
532C22×C4C2×SD1614yes—
533C22×C4C2×SD1614yes—
534C22×C4C2×SD1614yes—
535C22×C4AGL(1,ℤ/8)14yes—
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C2×#4114yes—
548C22×C4H(5,𝔽2)14yes—
549C22×C4C2511yescharacteristic
550SD16—816no—
551C2×C8—28no—
552C2×C8—28no—
553C2×C8—28no—
554C4⋊C4—24no—
555C4⋊C4—28no—
556C4⋊C4—28no—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4C2×#4114yes—
574C22⋊C4—28no—
575C22⋊C4—28no—
576C22⋊C4—48no—
577C22⋊C4—48no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—48no—
581C22⋊C4—48no—
582C22⋊C4—48no—
583C22⋊C4—48no—
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—44no—
600C42—44no—
601C42—44no—
602C42—44no—
603C42H(5,𝔽2)14yes—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—28no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—28no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—88no—
633C23—88no—
634C23—88no—
635C23—88no—
636C23—88no—
637C23—88no—
638C23—88no—
639C23#52512yes—
640C23#53512yes—
641C23C22×SD1612yes—
642C23C22×SD1612yes—
643C23C22×SD1612yes—
644C23C2×AGL(1,ℤ/8)12yes—
645C23#57512yes—
646C23C23×D411yescharacteristic
647Q8—28no—
648Q8—48no—
649Q8—44no—
650D4—48no—
651D4—48no—
652D4—88no—
653D4—88no—
654D4—88no—
655D4—88no—
656D4—816no—
657D4—816no—
658D4—88no—
659C2×C4—28no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
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—28no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—48no—
701C2×C4—48no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—42no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—84no—
717C2×C4—84no—
718C2×C4—88no—
719C2×C4#52512yes—
720C2×C4#53412yes—
721C2×C4#53412yes—
722C2×C4#53512yes—
723C2×C4C22×SD1612yes—
724C2×C4C22×SD1612yes—
725C2×C4C22×SD1612yes—
726C2×C4C22×SD1612yes—
727C2×C4C2×AGL(1,ℤ/8)12yes—
728C2×C4C2×AGL(1,ℤ/8)12yes—
729C2×C4#57512yes—
730C2×C4C22×#4112yes—
731C2×C4C2×H(5,𝔽2)12yes—
732C2×C4C2×H(5,𝔽2)12yes—
733C8—48no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—416no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—84no—
755C22—84no—
756C22—84no—
757C22—84no—
758C22—84no—
759C22—84no—
760C22—84no—
761C22—1616no—
762C22#310314yes—
763C22#320814yes—
764C22C2×#52511yescharacteristic
765C22C2×#53411yescharacteristic
766C22C2×#53511yescharacteristic
767C22C23×SD1611yescharacteristic
768C22C22×AGL(1,ℤ/8)11yescharacteristic
769C22C2×#57511yescharacteristic
770C22C2×#57511yescharacteristic
771C4—22no—
772C4—22no—
773C4—22no—
774C4—22no—
775C4—22no—
776C4—22no—
777C4—22no—
778C4—22no—
779C4—41no—
780C4—44no—
781C4—41no—
782C4—44no—
783C4—82no—
784C4—84no—
785C4—82no—
786C4#318714yes—
787C4#351914yes—
788C2—24no—
789C2—24no—
790C2—42no—
791C2—164no—
792C2#3507611yescharacteristic
793C2C2×#310311yescharacteristic
794C2#6056111yescharacteristic
795C2C2×#318711yescharacteristic
796C2#6075011yescharacteristic
797C2C2×#320811yescharacteristic
798C2#6080511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2856C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×C4×C22⋊Q8C2semidirect
3. #33107C2semidirect
4. #32903C2semidirect
5. #30108C2semidirect
6. #29328C2semidirect
7. #28305C2semidirect
8. #27680C2semidirect
9. #24653C2semidirect
10. #24211C2semidirect
11. #24005C2semidirect
12. #23919C2semidirect
13. #22043C2semidirect
14. #20714C2semidirect
20. C22×C4×Q8C22semidirect
22. C2×#481C22semidirect
23. C2×#460C22semidirect
24. C2×#448C22semidirect
26. C2×#431C22semidirect
41. C4×C22⋊Q8C22semidirect
42. C4×C22⋊Q8C22semidirect
43. C2×#391C22semidirect
47. C2×#389C22semidirect
53. C2×C4×C4⋊C4C22semidirect
55. #2099C22semidirect
56. #2096C22semidirect
57. #2041C22semidirect
58. #2034C22semidirect
59. #2014C22semidirect
60. #2000C22semidirect
61. #1982C22semidirect
62. #1968C22semidirect
63. #1948C22semidirect
64. #1934C22semidirect
65. #1926C22semidirect
66. #1880C22semidirect
67. #1874C22semidirect
68. #1874C22semidirect
71. #1817C22semidirect
72. #1803C22semidirect
74. #1797C22semidirect
78. C4×C22⋊C8C22semidirect
259. C23×C4SD16semidirect

Maximal subgroups

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

subgroupindex
C2×#28562
C2×C4×C22⋊Q82
#331072
#329032
#301082
#293282
#283052
#276802
#246532
#242112
#240052
#239192
#220432
#207142