Finite Group Databasebeta

← #6574890

Subgroups — #6574890

Order 512.

2351 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3091C212yesmaximal, complemented
2#36101C211yesmaximal, characteristic
3C2×#2354C211yesmaximal, characteristic, complemented
4#33107C211yesmaximal, characteristic, complemented
5#32980C212yesmaximal, complemented
6#27909C211yesmaximal, characteristic, complemented
7#27647C211yesmaximal, characteristic, complemented
8#26237C212yesmaximal, complemented
9#26137C214yesmaximal, complemented
10#25017C212yesmaximal, complemented
11#24872C214yesmaximal, complemented
12#24550C212yesmaximal, complemented
13#24004C212yesmaximal, complemented
14#22658C212yesmaximal, complemented
15#22418C212yesmaximal, complemented
16D4×C22⋊C8C211yesmaximal, characteristic, complemented
17C4×#484C211yesmaximal, characteristic, complemented
18C2×#550C2211yescharacteristic
19C2×#525C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×#117C2212yes—
22#3091—216no—
23C2×#484C2211yescharacteristic
24C2×#481C2212yes—
25C2×#485C2214yescomplemented
26C2×#482C2214yescomplemented
27C2×#483C2212yes—
28C2×#480C2212yes—
29C2×#480C2212yes—
30C2×C8×D4C2212yes—
31C2×#427C2214yescomplemented
32C2×#416C2214yescomplemented
33C22×C22⋊C8C2212yes—
34#2856C2211yescharacteristic
35#2847C2212yes—
36#2541C2211yescharacteristic
37#2538C2211yescharacteristic
38#2456—22no—
39#2445—21no—
40#2433—21no—
41#2424—22no—
42#2414C2212yes—
43#2407C2212yes—
44#2366—21no—
45#2361—21no—
46#2354—21no—
47#2354—21no—
48#2354—22no—
49#2354C2211yescharacteristic
50#2354C2214yes—
51#2354C2212yes—
52#2354C2212yes—
53C4×C22⋊Q8C2211yescharacteristic
54C2×#390—21no—
55C2×#388—22no—
56C2×#384C2211yescharacteristic
57C2×#380C2212yes—
58C2×C4×C4⋊C4—21no—
59C2×C4×C4⋊C4C2211yescharacteristic
60#2093C2214yescomplemented
61#2084C2212yescomplemented
62#2075C2214yescomplemented
63#2072C2212yescomplemented
64#2036C2214yescomplemented
65#2034C2214yescomplemented
66#2033C2214yescomplemented
67#1982C2212yescomplemented
68#1957C2212yescomplemented
69#1954C2212yes—
70#1948C2212yescomplemented
71#1948C2212yescomplemented
72#1928C2212yescomplemented
73#1926C2214yescomplemented
74#1921C2212yescomplemented
75#1893C2214yescomplemented
76#1875C2214yescomplemented
77#1875C2214yescomplemented
78#1874C2212yes—
79#1872C2211yescharacteristic
80#1869C2214yes—
81#1854C2214yescomplemented
82#1854C2214yescomplemented
83#1854C2214yescomplemented
84#1852C2211yescharacteristic
85#1845C2212yescomplemented
86#1824C2211yescharacteristic
87#1823C2212yes—
88#1808C2214yescomplemented
89#1803C2212yescomplemented
90#1797C2211yescharacteristic
91#1788C2214yescomplemented
92#1779C2212yes—
93C4×#107C2212yescomplemented
94C4×#103C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C22×#41C2312yes—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C23×C8C2314yes—
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—22no—
121C2×C4×D4—22no—
122C2×C4×D4—21no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D411yescharacteristic
125C2×C4×D4D412yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×#117—22no—
130C2×#117—22no—
131C2×#117—28no—
132C2×#117—44no—
133C2×#117C2314yes—
134C2×#117C2314yes—
135C2×#117C2312yes—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4D411yescharacteristic
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4D412yes—
145C22×C42—22no—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148#485—216no—
149#484D418yescomplemented
150#483—28no—
151#482—216no—
152#481—28no—
153#480—28no—
154#480—44no—
155C8×D4—28no—
156#427—216no—
157C2×#107C2314yes—
158C2×#107C2314yes—
159C2×#107C2312yes—
160C2×#107C2312yes—
161C2×#106C2314yes—
162C2×#106C2314yes—
163C2×C4⋊C8C2312yes—
164#416—216no—
165C2×#103C2314yes—
166C2×#103C2312yes—
167C2×#103C2312yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×C22⋊C8—28no—
173C2×C22⋊C8C2312yes—
174C2×C22⋊C8C2311yescharacteristic
175C2×C22⋊C8C2314yes—
176C2×C22⋊C8C2314yes—
177C2×C22⋊C8C2314yes—
178C2×C22⋊C8C2311yescharacteristic
179C2×C4×C8C2312yes—
180#396—22no—
181#394—22no—
182#394—22no—
183#392—22no—
184#392—22no—
185#392—22no—
186#391C2311yescharacteristic
187#390—22no—
188#390—24no—
189#390—22no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390—22no—
194#390—21no—
195#390—21no—
196#390C2312yes—
197#389—21no—
198#389C2311yescharacteristic
199#388—22no—
200#388—24no—
201#388—24no—
202#388—24no—
203#388—24no—
204#388—22no—
205#387—21no—
206#386—22no—
207#386—22no—
208#386—22no—
209#386—22no—
210#385—21no—
211#385—22no—
212#384—21no—
213#384—21no—
214#384C2312yes—
215#384C2312yes—
216#384C2311yescharacteristic
217#380—22no—
218#380—22no—
219#380C2312yes—
220#380C2314yes—
221#380C2312yes—
222#380C2314yes—
223#380C2311yescharacteristic
224C4×C4⋊C4—24no—
225C4×C4⋊C4—22no—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2311yescharacteristic
234C4×C22⋊C4—21no—
235C2×#95—22no—
236C2×#95—21no—
237#340C2314yes—
238#340C2314yes—
239#340C2314yes—
240#340C2312yes—
241#340C2312yes—
242#340C2312yes—
243#340C2312yes—
244#336C2312yes—
245#336C2312yes—
246C25C2×D412yes—
247C2×#41—24no—
248C2×#41—28no—
249C2×#41—42no—
250C2×#41—44no—
251C22×Q8C2411yescharacteristic
252C22×D4—24no—
253C22×D4—22no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—24no—
259C22×D4—21no—
260C22×D4—21no—
261C22×D4—42no—
262C22×D4C2×D411yescharacteristic
263C22×D4C2×D412yes—
264C22×D4C2×D411yescharacteristic
265C22×D4C2412yes—
266C23×C4—21no—
267C23×C4—24no—
268C23×C4—28no—
269C23×C4—24no—
270C23×C4—22no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—44no—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D412yes—
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2×D411yescharacteristic
279C23×C4C2412yes—
280C23×C4C2411yescharacteristic
281C23×C4C2412yes—
282C22×C8—28no—
283C22×C8—28no—
284C22×C8—44no—
285C22×C8C2414yes—
286C22×C8C2412yes—
287C22×C8C2412yes—
288#127—24no—
289#127—44no—
290#127—44no—
291#123—48no—
292C22⋊Q8—22no—
293C22⋊Q8—24no—
294C22⋊Q8—42no—
295C22⋊Q8C2×D414yes—
296#121—24no—
297#121—28no—
298#121—24no—
299#121—24no—
300#121—42no—
301#121—44no—
302#121—48no—
303#121—44no—
304#121—82no—
305#120—48no—
306#120—84no—
307C4×Q8—24no—
308C4×D4—24no—
309C4×D4—28no—
310C4×D4—24no—
311C4×D4—28no—
312C4×D4—24no—
313C4×D4—48no—
314C4×D4—48no—
315C4×D4—44no—
316C4×D4#4118yes—
317#117—28no—
318#117—28no—
319#117—24no—
320#117—44no—
321#117—44no—
322#117—42no—
323#117—48no—
324#117—48no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—22no—
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—42no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—82no—
345C2×C4⋊C4C2×D412yes—
346C2×C4⋊C4C2×D411yescharacteristic
347C2×C4⋊C4C2×D414yes—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2414yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2411yescharacteristic
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2411yescharacteristic
356C2×C22⋊C4—21no—
357C2×C22⋊C4—28no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—48no—
374C2×C22⋊C4—84no—
375C2×C22⋊C4C2×D412yes—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—22no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—48no—
388C2×C42—44no—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2411yescharacteristic
392C2×C42C2411yescharacteristic
393#107—28no—
394#107—42no—
395#107—44no—
396#107C2×D418yescomplemented
397#106—28no—
398#106—28no—
399C4⋊C8—24no—
400#103—28no—
401#103—42no—
402#103C2×D418yescomplemented
403#102—28no—
404#102—28no—
405#102—44no—
406#102—44no—
407C22⋊C8—24no—
408C22⋊C8—28no—
409C22⋊C8—22no—
410C22⋊C8—28no—
411C22⋊C8—44no—
412C22⋊C8C2×D414yes—
413C4×C8—24no—
414#95—24no—
415#95—24no—
416#95—22no—
417#95—22no—
418#95—21no—
419#95—21no—
420#95—22no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—22no—
425C24—24no—
426C24—24no—
427C24—24no—
428C24—24no—
429C24—22no—
430C24—42no—
431C24—42no—
432C24—42no—
433C24C22×D412yes—
434C24C22×D412yes—
435C24C22×D411yescharacteristic
436#41—416no—
437#41—88no—
438C2×Q8—21no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8C22×D412yes—
442C2×D4—24no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—24no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—416no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—42no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—81no—
469C2×D4—81no—
470C2×D4—82no—
471C2×D4—82no—
472C2×D4—82no—
473C2×D4—82no—
474C2×D4—82no—
475C2×D4—82no—
476C2×D4#12314yes—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
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—21no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—24no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—41no—
509C22×C4—416no—
510C22×C4—416no—
511C22×C4—44no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—42no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—82no—
522C22×C4#13514yes—
523C22×C4C22×D412yes—
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D412yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D412yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2×#4118yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4C2511yescharacteristic
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—24no—
537C2×C8—22no—
538C2×C8—24no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—24no—
542C2×C8—416no—
543C2×C8C22×D414yes—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—81no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4—81no—
569C4⋊C4#12314yes—
570C4⋊C4C22×D414yes—
571C4⋊C4C22×D412yes—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—44no—
577C22⋊C4—48no—
578C22⋊C4—48no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—42no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—84no—
588C22⋊C4—84no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4#12318yes—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—48no—
596C42—48no—
597C42—44no—
598C42—44no—
599C42—42no—
600C42—44no—
601C42—42no—
602C42C2×#4114yes—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—22no—
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—48no—
621C23—48no—
622C23—48no—
623C23—48no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23C2×#12314yes—
635C23D4212yes—
636C23C2×#13512yes—
637C23#57612yes—
638C23C23×D411yescharacteristic
639Q8—24no—
640Q8—42no—
641D4—28no—
642D4—48no—
643D4—44no—
644D4—44no—
645D4—44no—
646D4—88no—
647D4—88no—
648D4—88no—
649D4—84no—
650D4—162no—
651D4—164no—
652D4—164no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—28no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—48no—
676C2×C4—44no—
677C2×C4—48no—
678C2×C4—48no—
679C2×C4—48no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—88no—
704C2×C4—84no—
705C2×C4—88no—
706C2×C4C2×#12312yes—
707C2×C4C2×#12314yes—
708C2×C4C2×#12312yes—
709C2×C4D4212yes—
710C2×C4C2×#13512yes—
711C2×C4C2×#13512yes—
712C2×C4#57512yes—
713C2×C4C23×D411yescharacteristic
714C2×C4C22×#4112yes—
715C2×C4C2×H(5,𝔽2)11yescharacteristic
716C2×C4#58512yes—
717C8—24no—
718C8—44no—
719C8—42no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—816no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22—82no—
748C22#328714yes—
749C22C22×#12311yescharacteristic
750C22C2×D4211yescharacteristic
751C22#348511yescharacteristic
752C22C22×#13511yescharacteristic
753C22C2×#57511yescharacteristic
754C22C2×#57611yescharacteristic
755C22#358611yescharacteristic
756C4—22no—
757C4—22no—
758C4—22no—
759C4—24no—
760C4—41no—
761C4—44no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—82no—
766C4—81no—
767C4—81no—
768C4—84no—
769C4—82no—
770C4#309114yescomplemented
771C4D4×#4112yes—
772C4#351312yes—
773C2—24no—
774C2—44no—
775C2—82no—
776C2—162no—
777C2D4×#12311yescharacteristic
778C2C2×#309111yescharacteristic
779C2#6052111yescharacteristic
780C2C2×#328711yescharacteristic
781C2#6106711yescharacteristic
782C2#6170111yescharacteristic
783C2#6174011yescharacteristic
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
1. C2×#3091C2semidirect
3. C2×#2354C2semidirect
4. #33107C2semidirect
5. #32980C2semidirect
6. #27909C2semidirect
7. #27647C2semidirect
8. #26237C2semidirect
9. #26137C2semidirect
10. #25017C2semidirect
11. #24872C2semidirect
12. #24550C2semidirect
13. #24004C2semidirect
14. #22658C2semidirect
15. #22418C2semidirect
16. D4×C22⋊C8C2semidirect
17. C4×#484C2semidirect
25. C2×#485C22semidirect
26. C2×#482C22semidirect
31. C2×#427C22semidirect
32. C2×#416C22semidirect
60. #2093C22semidirect
61. #2084C22semidirect
62. #2075C22semidirect
63. #2072C22semidirect
64. #2036C22semidirect
65. #2034C22semidirect
66. #2033C22semidirect
67. #1982C22semidirect
68. #1957C22semidirect
70. #1948C22semidirect
71. #1948C22semidirect
72. #1928C22semidirect
73. #1926C22semidirect
74. #1921C22semidirect
75. #1893C22semidirect
76. #1875C22semidirect
77. #1875C22semidirect
81. #1854C22semidirect
82. #1854C22semidirect
83. #1854C22semidirect
85. #1845C22semidirect
88. #1808C22semidirect
89. #1803C22semidirect
91. #1788C22semidirect
93. C4×#107C22semidirect
94. C4×#103C22semidirect
149. #484D4semidirect
396. #107C2×D4semidirect
402. #103C2×D4semidirect
770. C4#3091semidirect

Maximal subgroups

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

subgroupindex
C2×#30912
#361012
C2×#23542
#331072
#329802
#279092
#276472
#262372
#261372
#250172
#248722
#245502
#240042
#226582
#224182
D4×C22⋊C82
C4×#4842