Finite Group Databasebeta

← #6605456

Subgroups — #6605456

Order 512.

2427 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36101C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#33106C211yesmaximal, characteristic, complemented
4#32979C212yesmaximal, complemented
5#27973C211yesmaximal, characteristic, complemented
6#27680C211yesmaximal, characteristic, complemented
7#26232C212yesmaximal, complemented
8#26218C214yesmaximal, complemented
9#24971C212yesmaximal, complemented
10#24881C214yesmaximal, complemented
11#24558C212yesmaximal, complemented
12#24004C212yesmaximal, complemented
13#22715C212yesmaximal, complemented
14#22432C212yesmaximal, complemented
15#22401C211yesmaximal, characteristic, complemented
16C4×#483C211yesmaximal, characteristic, complemented
17#20909C212yesmaximal, complemented
18C2×#550C2211yescharacteristic
19C2×#525C2212yes—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23C2×#481C2214yescomplemented
24C2×#483C2211yescharacteristic
25C2×#480C2212yes—
26C2×#436C2212yes—
27C2×#417C2214yescomplemented
28C2×#407C2212yes—
29#2856C2211yescharacteristic
30#2847C2212yes—
31#2541C2211yescharacteristic
32#2538C2211yescharacteristic
33#2456—22no—
34#2445—21no—
35#2433—21no—
36#2424—22no—
37#2414C2212yes—
38#2407C2212yes—
39#2366—21no—
40#2361—21no—
41#2354C2211yescharacteristic
42D4×C4⋊C4—21no—
43D4×C4⋊C4—21no—
44D4×C4⋊C4—22no—
45D4×C4⋊C4C2214yes—
46D4×C4⋊C4C2212yes—
47D4×C4⋊C4C2212yes—
48C4×C22⋊Q8C2211yescharacteristic
49C2×#389—21no—
50C2×#385—22no—
51C2×#384C2211yescharacteristic
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2099C2212yescomplemented
55#2096C2212yescomplemented
56#2076C2214yescomplemented
57#2071C2214yescomplemented
58#2036C2214yescomplemented
59#2034C2214yescomplemented
60#2034C2214yescomplemented
61#1982C2212yescomplemented
62#1957C2212yescomplemented
63#1954C2212yes—
64#1948C2212yescomplemented
65#1947C2212yescomplemented
66#1927C2212yescomplemented
67#1925C2214yescomplemented
68#1920C2212yescomplemented
69#1895C2214yescomplemented
70#1874C2212yes—
71#1874C2212yes—
72#1874C2212yes—
73#1874C2214yescomplemented
74#1874C2214yescomplemented
75#1872C2212yes—
76#1872C2211yescharacteristic
77#1872C2214yescomplemented
78#1870C2214yes—
79#1854C2214yescomplemented
80#1853C2212yes—
81#1853C2211yescharacteristic
82#1853C2214yescomplemented
83#1834C2212yescomplemented
84#1824C2214yescomplemented
85#1823C2211yescharacteristic
86#1809C2214yescomplemented
87#1803C2212yescomplemented
88#1797C2211yescharacteristic
89#1788C2214yescomplemented
90#1779C2212yes—
91C4×#106C2212yescomplemented
92C4×#103C2212yescomplemented
93C4×C22⋊C8C2211yescharacteristic
94#1736C2214yescomplemented
95C22×#41C2312yes—
96C23×D4D411yescharacteristic
97C24×C4—22no—
98C24×C4C2312yes—
99C22×M16C2314yes—
100#550—28no—
101C2×#127—21no—
102C2×#127—21no—
103C2×#127C2311yescharacteristic
104#525—28no—
105#525—44no—
106C2×#123—22no—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2311yescharacteristic
109C2×#121—21no—
110C2×#121—21no—
111C2×#121—22no—
112C2×#121C2312yes—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C2×#121C2312yes—
116C2×#120—22no—
117C2×#120—22no—
118C2×C4×Q8C2311yescharacteristic
119C2×C4×D4—28no—
120C2×C4×D4—24no—
121C2×C4×D4—22no—
122C2×C4×D4—22no—
123C2×C4×D4—22no—
124C2×C4×D4—22no—
125C2×C4×D4—21no—
126C2×C4×D4—48no—
127C2×C4×D4D411yescharacteristic
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D412yes—
130C2×C4×D4C2312yes—
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×#117C2312yes—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—22no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—48no—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2314yes—
144C22×C4⋊C4C2314yes—
145C22×C4⋊C4C2312yes—
146C22×C22⋊C4—22no—
147C22×C22⋊C4D412yes—
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150#483—24no—
151#481—48no—
152#480—44no—
153#436—28no—
154C2×#107C2314yes—
155C2×#106C2312yes—
156C2×#106C2312yes—
157C2×#106C2314yes—
158C2×C4⋊C8C2312yes—
159#417—48no—
160C2×#103C2312yes—
161C2×#103C2312yes—
162C2×#103C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167#407—44no—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2311yescharacteristic
170C2×C22⋊C8C2311yescharacteristic
171C2×C22⋊C8C2314yes—
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C4×C8C2312yes—
175#396—22no—
176#394—22no—
177#394—22no—
178#392—22no—
179#392—22no—
180#392—22no—
181#391C2311yescharacteristic
182#390—21no—
183#390—21no—
184#390—21no—
185#390—22no—
186#390—21no—
187#390—21no—
188#390C2312yes—
189#389—24no—
190#389—22no—
191#389—22no—
192#389—21no—
193#389C2311yescharacteristic
194#388—22no—
195#388—22no—
196#387—21no—
197#386—22no—
198#386—22no—
199#386—22no—
200#386—22no—
201#385—21no—
202#385—22no—
203#385—24no—
204#385—24no—
205#385—24no—
206#385—24no—
207#384—21no—
208#384—21no—
209#384C2312yes—
210#384C2312yes—
211#384C2311yescharacteristic
212#380—22no—
213#380—22no—
214#380C2312yes—
215#380C2314yes—
216#380C2312yes—
217#380C2314yes—
218#380C2311yescharacteristic
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2311yescharacteristic
226C4×C22⋊C4—21no—
227C2×#95—21no—
228C2×#95—22no—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#336C2312yes—
239#336C2312yes—
240C25C2×D412yes—
241C2×#41—24no—
242C2×#41—28no—
243C2×#41—42no—
244C2×#41—44no—
245C22×Q8C2411yescharacteristic
246C22×D4—24no—
247C22×D4—24no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—24no—
254C22×D4—21no—
255C22×D4—21no—
256C22×D4C2×D412yes—
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D411yescharacteristic
259C22×D4C2412yes—
260C23×C4—21no—
261C23×C4—28no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—21no—
265C23×C4—22no—
266C23×C4—24no—
267C23×C4—24no—
268C23×C4—22no—
269C23×C4—44no—
270C23×C4—48no—
271C23×C4—48no—
272C23×C4—84no—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2×D412yes—
277C23×C4C2×D411yescharacteristic
278C23×C4C2412yes—
279C23×C4C2412yes—
280C23×C4C2411yescharacteristic
281C2×M16—28no—
282C2×M16—44no—
283C2×M16—44no—
284C22×C8C2412yes—
285C22×C8C2414yes—
286C22×C8C2412yes—
287#127—24no—
288#127—44no—
289#127—44no—
290#123—48no—
291C22⋊Q8—22no—
292C22⋊Q8—24no—
293C22⋊Q8—42no—
294C22⋊Q8#4114yes—
295#121—24no—
296#121—28no—
297#121—24no—
298#121—24no—
299#121—42no—
300#121—44no—
301#121—48no—
302#121—44no—
303#121—82no—
304#120—48no—
305#120—84no—
306C4×Q8—24no—
307C4×D4—24no—
308C4×D4—28no—
309C4×D4—24no—
310C4×D4—28no—
311C4×D4—24no—
312C4×D4—48no—
313C4×D4—48no—
314C4×D4—416no—
315C4×D4—48no—
316C4×D4—48no—
317C4×D4—44no—
318C4×D4#4118yes—
319#117—24no—
320#117—42no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—28no—
328C2×C4⋊C4—28no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—44no—
345C2×C4⋊C4—48no—
346C2×C4⋊C4—48no—
347C2×C4⋊C4—48no—
348C2×C4⋊C4—44no—
349C2×C4⋊C4—82no—
350C2×C4⋊C4C2×D412yes—
351C2×C4⋊C4C2×D411yescharacteristic
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2414yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2411yescharacteristic
357C2×C4⋊C4C2411yescharacteristic
358C2×C4⋊C4C2411yescharacteristic
359C2×C4⋊C4C2412yes—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—28no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—48no—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C42—24no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—21no—
385C2×C42—21no—
386C2×C42—44no—
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—44no—
392#106—24no—
393#106—24no—
394#106—44no—
395C4⋊C8—24no—
396#103—24no—
397#103—24no—
398#103—44no—
399#102—28no—
400#102—44no—
401#102—44no—
402#102—44no—
403C22⋊C8—28no—
404C22⋊C8—22no—
405C22⋊C8—22no—
406C22⋊C8—24no—
407C22⋊C8—44no—
408C22⋊C8—44no—
409C4×C8—24no—
410#95—22no—
411#95—22no—
412#95—24no—
413#95—24no—
414#95—21no—
415#95—21no—
416#95—22no—
417#95—21no—
418#95—21no—
419#95—21no—
420#95—22no—
421C24—24no—
422C24—24no—
423C24—24no—
424C24—24no—
425C24—24no—
426C24—22no—
427C24—42no—
428C24—42no—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D411yescharacteristic
432#41—416no—
433#41—88no—
434C2×Q8—21no—
435C2×Q8—22no—
436C2×Q8—22no—
437C2×Q8C2×#4112yes—
438C2×D4—232no—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—22no—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—81no—
464C2×D4—81no—
465C2×D4—82no—
466C2×D4—82no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4—82no—
471C2×D4#12314yes—
472C2×D4#13714yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—41no—
505C22×C4—416no—
506C22×C4—416no—
507C22×C4—44no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—48no—
515C22×C4—48no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—44no—
519C22×C4—42no—
520C22×C4—44no—
521C22×C4—82no—
522C22×C4—84no—
523C22×C4—84no—
524C22×C4—832no—
525C22×C4AGL(1,ℤ/8)14yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4118yes—
534C22×C4C2×#4112yes—
535C22×C4H(5,𝔽2)12yes—
536C22×C4C2511yescharacteristic
537M16—88no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—24no—
542C2×C8—22no—
543C2×C8—24no—
544C2×C8—22no—
545C2×C8—24no—
546C2×C8—22no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—48no—
562C4⋊C4—48no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—81no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—81no—
574C4⋊C4#12314yes—
575C4⋊C4C2×#4112yes—
576C4⋊C4H(5,𝔽2)14yes—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—42no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4#12318yes—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—44no—
599C42—42no—
600C42—44no—
601C42—44no—
602C42—42no—
603C42C2×#4114yes—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—216no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—48no—
622C23—48no—
623C23—48no—
624C23—48no—
625C23—48no—
626C23—48no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23C2×#12314yes—
635C23#54612yes—
636C23C2×AGL(1,ℤ/8)12yes—
637C23C2×#13714yes—
638C23#57712yes—
639C23C23×D411yescharacteristic
640Q8—24no—
641Q8—42no—
642D4—216no—
643D4—28no—
644D4—28no—
645D4—44no—
646D4—44no—
647D4—88no—
648D4—88no—
649D4—88no—
650D4—84no—
651D4—162no—
652D4—164no—
653D4—164no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—28no—
663C2×C4—24no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—24no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—24no—
675C2×C4—21no—
676C2×C4—48no—
677C2×C4—44no—
678C2×C4—48no—
679C2×C4—48no—
680C2×C4—48no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—41no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—88no—
705C2×C4—816no—
706C2×C4—816no—
707C2×C4—88no—
708C2×C4—84no—
709C2×C4C2×#12312yes—
710C2×C4C2×#12314yes—
711C2×C4C2×#12312yes—
712C2×C4#54612yes—
713C2×C4C2×AGL(1,ℤ/8)12yes—
714C2×C4C2×AGL(1,ℤ/8)12yes—
715C2×C4C2×#13712yes—
716C2×C4C22×#4111yescharacteristic
717C2×C4C22×#4112yes—
718C2×C4C2×H(5,𝔽2)12yes—
719C2×C4C2×H(5,𝔽2)11yescharacteristic
720C8—42no—
721C8—44no—
722C8—42no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—432no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22—82no—
751C22#333214yes—
752C22C22×#12311yescharacteristic
753C22C2×#54611yescharacteristic
754C22#348411yescharacteristic
755C22C22×AGL(1,ℤ/8)11yescharacteristic
756C22C22×#13711yescharacteristic
757C22C2×#57711yescharacteristic
758C22#358511yescharacteristic
759C4—22no—
760C4—22no—
761C4—22no—
762C4—24no—
763C4—41no—
764C4—42no—
765C4—42no—
766C4—44no—
767C4—42no—
768C4—81no—
769C4—84no—
770C4—81no—
771C4—82no—
772C4—82no—
773C4#309214yes—
774C4#348112yes—
775C4#351912yes—
776C2—24no—
777C2—44no—
778C2—44no—
779C2—162no—
780C2#3623611yescharacteristic
781C2C2×#309211yescharacteristic
782C2#6052511yescharacteristic
783C2C2×#333211yescharacteristic
784C2#6116211yescharacteristic
785C2#6158211yescharacteristic
786C2#6159311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36101C2
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
2. C2×D4×C4⋊C4C2semidirect
3. #33106C2semidirect
4. #32979C2semidirect
5. #27973C2semidirect
6. #27680C2semidirect
7. #26232C2semidirect
8. #26218C2semidirect
9. #24971C2semidirect
10. #24881C2semidirect
11. #24558C2semidirect
12. #24004C2semidirect
13. #22715C2semidirect
14. #22432C2semidirect
15. #22401C2semidirect
16. C4×#483C2semidirect
17. #20909C2semidirect
23. C2×#481C22semidirect
27. C2×#417C22semidirect
54. #2099C22semidirect
55. #2096C22semidirect
56. #2076C22semidirect
57. #2071C22semidirect
58. #2036C22semidirect
59. #2034C22semidirect
60. #2034C22semidirect
61. #1982C22semidirect
62. #1957C22semidirect
64. #1948C22semidirect
65. #1947C22semidirect
66. #1927C22semidirect
67. #1925C22semidirect
68. #1920C22semidirect
69. #1895C22semidirect
73. #1874C22semidirect
74. #1874C22semidirect
77. #1872C22semidirect
79. #1854C22semidirect
82. #1853C22semidirect
83. #1834C22semidirect
84. #1824C22semidirect
86. #1809C22semidirect
87. #1803C22semidirect
89. #1788C22semidirect
91. C4×#106C22semidirect
92. C4×#103C22semidirect
94. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#361012
C2×D4×C4⋊C42
#331062
#329792
#279732
#276802
#262322
#262182
#249712
#248812
#245582
#240042
#227152
#224322
#224012
C4×#4832
#209092