Finite Group Databasebeta

← #6794841

Subgroups — #6794841

Order 512.

2277 conjugacy classes of subgroups.

The subgroup lattice has 795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36154C211yesmaximal, characteristic, complemented
2C2×#2537C211yesmaximal, characteristic
3#32956C211yesmaximal, characteristic, complemented
4#31996C214yesmaximal, complemented
5#30559C214yesmaximal, complemented
6#29893C212yesmaximal, complemented
7#28223C212yesmaximal, complemented
8#27948C211yesmaximal, characteristic, complemented
9#27680C211yesmaximal, characteristic, complemented
10#25339C212yesmaximal, complemented
11#25012C212yesmaximal, complemented
12#24379C212yesmaximal, complemented
13#24118C212yesmaximal, complemented
14#24005C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16#21938C212yesmaximal, complemented
17C4×#450C211yesmaximal, characteristic, complemented
18C2×#554C2211yescharacteristic, complemented
19C22×#121—21no—
20C22×#121C2212yes—
21C22×C4×D4C2211yescharacteristic
22C22×C4×D4C2211yescharacteristic
23C2×#481C2214yescomplemented
24C2×#476C2212yescomplemented
25C2×#465C2214yescomplemented
26C2×#450C2211yescharacteristic
27C2×C4×SD16C2212yescomplemented
28C2×C8×D4C2212yescomplemented
29C22×C22⋊C8C2212yes—
30#2857C2211yescharacteristic
31#2848C2212yes—
32#2563C2211yescharacteristic, complemented
33#2538C2211yescharacteristic, complemented
34#2537—21no—
35#2537—22no—
36#2537—21no—
37#2537C2212yes—
38#2537C2212yes—
39#2537C2214yes—
40#2487C2212yescomplemented
41#2454—21no—
42#2450—22no—
43#2442—21no—
44#2437—22no—
45#2417C2212yescomplemented
46C2×#394—22no—
47#2349—21no—
48D4×C4⋊C4C2211yescharacteristic, complemented
49D4×C22⋊C4—21no—
50C4×C22⋊Q8C2211yescharacteristic
51C2×#384C2211yescharacteristic
52C2×#380—21no—
53C2×#380C2212yes—
54C2×#380C2212yes—
55#2099C2212yescomplemented
56#2096C2212yescomplemented
57#2084C2214yescomplemented
58#2077C2214yescomplemented
59#2077C2214yescomplemented
60#2035C2214yescomplemented
61#2035C2214yescomplemented
62#2034C2214yescomplemented
63#2034C2214yescomplemented
64#2034C2214yescomplemented
65#2000C2214yescomplemented
66#1990C2212yescomplemented
67#1954C2212yescomplemented
68#1948C2212yescomplemented
69#1893C2214yescomplemented
70#1877C2212yescomplemented
71#1874C2214yescomplemented
72#1872C2212yes—
73#1872C2211yescharacteristic
74#1869C2214yescomplemented
75#1864C2214yescomplemented
76#1864C2212yescomplemented
77#1853C2212yes—
78#1853C2212yes—
79#1853C2212yes—
80#1853C2211yescharacteristic
81#1853C2212yes—
82#1853C2214yescomplemented
83#1853C2214yescomplemented
84#1844C2212yescomplemented
85#1807C2214yescomplemented
86#1807C2214yescomplemented
87#1803C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1786C2212yes—
91#1786C2211yescharacteristic
92#1779C2212yes—
93C4×#102C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×D4—22no—
96C23×D4D411yescharacteristic
97C23×D4C2311yescharacteristic
98C24×C4—21no—
99C24×C4C2312yes—
100C22×SD16C2312yes—
101C23×C8C2314yes—
102#554—44no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#125—21no—
105C2×C22⋊Q8—21no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8C2311yescharacteristic
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×#121—22no—
111C2×#121—22no—
112C2×#121—24no—
113C2×#121—22no—
114C2×#121—22no—
115C2×#121—48no—
116C2×#121—48no—
117C2×#121C2314yes—
118C2×#121C2314yes—
119C2×C4×Q8C2311yescharacteristic
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—44no—
125C2×C4×D4—44no—
126C2×C4×D4D411yescharacteristic
127C2×C4×D4D412yes—
128C2×C4×D4D411yescharacteristic
129C2×C4×D4C2312yes—
130C2×C4×D4C2312yes—
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2312yes—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2312yes—
141C22×C22⋊C4—22no—
142C22×C22⋊C4—21no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42C2311yescharacteristic
147#481—48no—
148#476—44no—
149#465—48no—
150#450—24no—
151C4×SD16—44no—
152C8×D4—44no—
153C2×#106C2312yes—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×#106C2314yes—
158C2×C4⋊C8C2312yes—
159C2×#103C2314yes—
160C2×#103C2312yes—
161C2×#102C2314yes—
162C2×#102C2312yes—
163C2×#102C2312yes—
164C2×#102C2312yes—
165C2×#102C2314yes—
166C2×C22⋊C8—28no—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2311yescharacteristic
170C2×C22⋊C8C2314yes—
171C2×C22⋊C8C2314yes—
172C2×C22⋊C8C2311yescharacteristic
173C2×C4×C8C2312yes—
174#400—22no—
175#399—22no—
176#398—22no—
177#396—22no—
178#396—22no—
179#394—24no—
180#394—24no—
181#394—24no—
182#394—24no—
183#393—22no—
184#391—21no—
185#391C2311yescharacteristic
186#390—21no—
187#390—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389C2312yes—
192#389C2311yescharacteristic
193#387—21no—
194#386—22no—
195#386—22no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—21no—
200#385—22no—
201#385—22no—
202#384—21no—
203#384—21no—
204#384C2311yescharacteristic
205#384C2312yes—
206#384C2312yes—
207#382—21no—
208#380—21no—
209#380—22no—
210#380—22no—
211#380—22no—
212#380—22no—
213#380—22no—
214#380—22no—
215#380—24no—
216#380—22no—
217#380C2312yes—
218#380C2312yes—
219#380C2314yes—
220#380C2312yes—
221#380C2312yes—
222#380C2314yes—
223#380C2312yes—
224#380C2311yescharacteristic
225#379—22no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4C2311yescharacteristic
228C4×C22⋊C4—21no—
229C2×#95—22no—
230C2×#95—22no—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2314yes—
238#336C2312yes—
239#336C2312yes—
240C25—21no—
241C25C2×D412yes—
242C22×Q8—21no—
243C22×Q8C2411yescharacteristic
244C22×D4—24no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—21no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—42no—
251C22×D4—42no—
252C22×D4—42no—
253C22×D4—48no—
254C22×D4—48no—
255C22×D4—84no—
256C22×D4SD1618yescomplemented
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D411yescharacteristic
259C22×D4C2×D412yes—
260C22×D4C2412yes—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—44no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4—44no—
273C23×C4—44no—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2×D412yes—
279C23×C4C2412yes—
280C23×C4C2412yes—
281C23×C4C2411yescharacteristic
282C2×SD16—24no—
283C2×SD16—24no—
284C2×SD16—42no—
285C22×C8—28no—
286C22×C8—44no—
287C22×C8—44no—
288C22×C8C2414yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C4⋊Q8—24no—
292#125—44no—
293C22⋊Q8—22no—
294C22⋊Q8—22no—
295C22⋊Q8—48no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298C22⋊Q8—82no—
299#121—28no—
300#121—28no—
301#121—44no—
302#121—44no—
303#121—48no—
304#121—48no—
305#121—48no—
306#121—48no—
307#121—416no—
308C4×Q8—24no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—24no—
312C4×D4—24no—
313C4×D4—44no—
314C4×D4—42no—
315C4×D4—42no—
316C4×D4—42no—
317C4×D4—42no—
318C4×D4—44no—
319C4×D4—44no—
320C4×D4—44no—
321C4×D4—44no—
322C4×D4—44no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—82no—
347C2×C4⋊C4C2×D411yescharacteristic
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D412yes—
350C2×C4⋊C4C2411yescharacteristic
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2414yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2411yescharacteristic
357C2×C22⋊C4—21no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4—44no—
374C2×C22⋊C4—48no—
375C2×C22⋊C4—48no—
376C2×C22⋊C4—84no—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C42—24no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2411yescharacteristic
387C2×C42C2411yescharacteristic
388#106—42no—
389#106—44no—
390#106—44no—
391#106—44no—
392#106—44no—
393C4⋊C8—24no—
394#103—42no—
395#103—44no—
396#102—28no—
397#102—24no—
398#102—24no—
399#102—42no—
400#102—44no—
401C22⋊C8—24no—
402C22⋊C8—22no—
403C22⋊C8—28no—
404C22⋊C8—44no—
405C22⋊C8—44no—
406C22⋊C8#4114yes—
407C4×C8—24no—
408#95—21no—
409#95—24no—
410#95—24no—
411#95—22no—
412#95—22no—
413#95—22no—
414#95—21no—
415#95—21no—
416#95—21no—
417#95—21no—
418#95—22no—
419#95—22no—
420#95—22no—
421C24—24no—
422C24—24no—
423C24—24no—
424C24—22no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24—42no—
429C24—42no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24—42no—
434C24—42no—
435C24C2×SD1618yes—
436C24C22×D412yes—
437C24C22×D412yes—
438C24C22×D411yescharacteristic
439C2×Q8—21no—
440C2×Q8—22no—
441C2×Q8—22no—
442C2×Q8—21no—
443C2×Q8—42no—
444C2×Q8—81no—
445C2×Q8—81no—
446C2×D4—24no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—416no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—48no—
465C2×D4—48no—
466C2×D4—42no—
467C2×D4—84no—
468C2×D4—84no—
469C2×D4—832no—
470C2×D4C2×SD1614yes—
471C2×D4C2×SD1614yes—
472C2×D4C2×SD1618yes—
473C2×D4H(5,𝔽2)14yes—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—24no—
499C22×C4—41no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—88no—
521C22×C4—88no—
522C22×C4—816no—
523C22×C4—82no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4—82no—
527C22×C4C2×SD1614yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C2×#4112yes—
536C22×C42−1+412yes—
537C22×C4C2511yescharacteristic
538SD16—48no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—24no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—22no—
547C2×C8—88no—
548C2×C8C2×#4114yes—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—24no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—81no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4—81no—
578C4⋊C4—82no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—48no—
584C22⋊C4—48no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—42no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—42no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—42no—
602C42—42no—
603C42H(5,𝔽2)14yes—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—216no—
621C23—24no—
622C23—48no—
623C23—48no—
624C23—48no—
625C23—48no—
626C23—48no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—84no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23#54712yes—
642C23C22×SD1614yes—
643C23C22×SD1614yes—
644C23C22×SD1612yes—
645C23#57712yes—
646C23C23×D411yescharacteristic
647Q8—42no—
648Q8—42no—
649Q8—162no—
650D4—28no—
651D4—28no—
652D4—24no—
653D4—24no—
654D4—48no—
655D4—48no—
656D4—42no—
657D4—42no—
658D4—816no—
659D4—816no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—28no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—21no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—44no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—44no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—84no—
708C2×C4—84no—
709C2×C4—88no—
710C2×C4—84no—
711C2×C4—84no—
712C2×C4—88no—
713C2×C4—88no—
714C2×C4—164no—
715C2×C4—164no—
716C2×C4#53412yes—
717C2×C4#53412yes—
718C2×C4#54712yes—
719C2×C4C22×SD1612yes—
720C2×C4C22×SD1612yes—
721C2×C4#57512yes—
722C2×C4C22×#4111yescharacteristic
723C2×C4C2×H(5,𝔽2)12yes—
724C2×C4C2×H(5,𝔽2)12yes—
725C2×C4C2×2−1+411yescharacteristic
726C8—24no—
727C8—44no—
728C8—42no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—24no—
739C22—24no—
740C22—24no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—44no—
750C22—44no—
751C22—44no—
752C22—816no—
753C22—816no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22#333514yes—
759C22C2×#53411yescharacteristic
760C22C2×#54711yescharacteristic
761C22#348411yescharacteristic
762C22C23×SD1611yescharacteristic
763C22C2×#57511yescharacteristic
764C22C2×#57711yescharacteristic
765C22#358511yescharacteristic
766C4—22no—
767C4—22no—
768C4—22no—
769C4—42no—
770C4—42no—
771C4—41no—
772C4—81no—
773C4—82no—
774C4—81no—
775C4—81no—
776C4—82no—
777C4—84no—
778C4—82no—
779C4—81no—
780C4#318714yes—
781C4#351912yes—
782C4#353612yes—
783C2—24no—
784C2—44no—
785C2—44no—
786C2—84no—
787C2#3891611yescharacteristic
788C2C2×#318711yescharacteristic
789C2#6076511yescharacteristic
790C2C2×#333511yescharacteristic
791C2#6125611yescharacteristic
792C2#6156011yescharacteristic
793C2#6160411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2537C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36154C2semidirect
3. #32956C2semidirect
4. #31996C2semidirect
5. #30559C2semidirect
6. #29893C2semidirect
7. #28223C2semidirect
8. #27948C2semidirect
9. #27680C2semidirect
10. #25339C2semidirect
11. #25012C2semidirect
12. #24379C2semidirect
13. #24118C2semidirect
14. #24005C2semidirect
15. D4×C22⋊C8C2semidirect
16. #21938C2semidirect
17. C4×#450C2semidirect
18. C2×#554C22semidirect
23. C2×#481C22semidirect
24. C2×#476C22semidirect
25. C2×#465C22semidirect
27. C2×C4×SD16C22semidirect
28. C2×C8×D4C22semidirect
32. #2563C22semidirect
33. #2538C22semidirect
40. #2487C22semidirect
45. #2417C22semidirect
48. D4×C4⋊C4C22semidirect
55. #2099C22semidirect
56. #2096C22semidirect
57. #2084C22semidirect
58. #2077C22semidirect
59. #2077C22semidirect
60. #2035C22semidirect
61. #2035C22semidirect
62. #2034C22semidirect
63. #2034C22semidirect
64. #2034C22semidirect
65. #2000C22semidirect
66. #1990C22semidirect
67. #1954C22semidirect
68. #1948C22semidirect
69. #1893C22semidirect
70. #1877C22semidirect
71. #1874C22semidirect
74. #1869C22semidirect
75. #1864C22semidirect
76. #1864C22semidirect
82. #1853C22semidirect
83. #1853C22semidirect
84. #1844C22semidirect
85. #1807C22semidirect
86. #1807C22semidirect
87. #1803C22semidirect
88. #1802C22semidirect
93. C4×#102C22semidirect
256. C22×D4SD16semidirect

Maximal subgroups

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

subgroupindex
#361542
C2×#25372
#329562
#319962
#305592
#298932
#282232
#279482
#276802
#253392
#250122
#243792
#241182
#240052
D4×C22⋊C82
#219382
C4×#4502