Finite Group Databasebeta

← #6468067

Subgroups — #6468067

Order 512.

2022 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
1#35275C211yesmaximal, characteristic, complemented
2C4×#535C211yesmaximal, characteristic
3#29152C214yesmaximal, complemented
4#29151C214yesmaximal, complemented
5#29149C212yesmaximal, complemented
6#29148C212yesmaximal, complemented
7#29140C212yesmaximal, complemented
8#29139C212yesmaximal, complemented
9#23458C212yesmaximal, complemented
10#23456C212yesmaximal, complemented
11#21206C212yesmaximal
12#20763C212yesmaximal, complemented
13#20648C211yesmaximal, characteristic, complemented
14#20646C211yesmaximal, characteristic, complemented
15#20645C211yesmaximal, characteristic, complemented
16C2×#1802C211yesmaximal, characteristic, complemented
17#20431C211yesmaximal, characteristic, complemented
18C2×#544C2212yes—
19C2×#535C2211yescharacteristic
20C2×C4×#41C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#423C2211yescharacteristic
23C22×C4⋊C8C2211yescharacteristic
24C2×#417C2212yes—
25C2×#418C2212yes—
26C2×#416C2212yes—
27C22×#102C2212yes—
28C2×#405C2212yes—
29#2868C2212yescomplemented
30#2859C2212yescomplemented
31#2660C2214yescomplemented
32#2552—21no—
33#2552—21no—
34#2551—21no—
35#2551—21no—
36#2440—22no—
37#2440—22no—
38#2328C2212yes—
39#2326C2212yes—
40#2324—21no—
41#2324—21no—
42#2321—22no—
43#2317C2211yescharacteristic
44#2317C2212yes—
45#2311C2211yescharacteristic
46#2309C2211yescharacteristic
47C4×#127C2212yes—
48C4×#124C2212yes—
49C4×#121—21no—
50C4×#121—21no—
51C4×#120—22no—
52#2285C2211yescharacteristic
53C2×#384C2211yescharacteristic
54C4×#117C2211yescharacteristic
55#2026C2214yescomplemented
56#2025C2214yes—
57#2025C2214yes—
58#2025C2214yescomplemented
59#2024C2214yescomplemented
60#2023C2214yes—
61#2023C2214yes—
62#2023C2214yescomplemented
63#1961C2214yes—
64#1959C2214yes—
65#1958C2214yes—
66#1957C2214yes—
67#1836C2214yescomplemented
68#1836C2214yescomplemented
69#1835C2214yescomplemented
70#1834C2214yescomplemented
71#1805C2212yescomplemented
72#1804C2214yes—
73#1804C2212yescomplemented
74#1803C2211yescharacteristic, complemented
75#1803C2211yescharacteristic, complemented
76#1803C2212yescomplemented
77#1803C2212yescomplemented
78#1802C2212yes—
79#1802C2212yes—
80#1802C2214yes—
81#1802C2212yes—
82#1802C2212yes—
83#1802C2211yescharacteristic, complemented
84#1802C2211yescharacteristic, complemented
85#1802C2212yescomplemented
86#1802C2212yescomplemented
87#1768C2214yescomplemented
88#1767C2212yescomplemented
89C4×C4⋊C8C2212yescomplemented
90#1736C2212yes—
91#1736C2212yes—
92#1735C2212yes—
93C2×#340C2212yes—
94#1729C2212yes—
95C22×#41C2311yescharacteristic
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C22×M16C2312yes—
99C23×C8C2312yes—
100#544—44no—
101#544—44no—
102#535—24no—
103#535Q818yescomplemented
104C2×C4⋊Q8—22no—
105C2×C4⋊Q8—22no—
106C2×C4⋊Q8—22no—
107C2×C4⋊Q8C2314yes—
108C2×#127C2312yes—
109C2×#125—22no—
110C2×#125C2314yes—
111C2×#124C2312yes—
112C2×C22⋊Q8—24no—
113C2×#121—21no—
114C2×#121—21no—
115C2×#120—22no—
116C4×#41—24no—
117C4×#41—24no—
118C2×C4×Q8C2311yescharacteristic
119C2×C4×Q8C2311yescharacteristic
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—21no—
123C2×C4×D4—21no—
124C2×C4×D4—22no—
125C2×C4×D4—22no—
126C2×C4×D4—24no—
127C2×C4×D4—24no—
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2312yes—
130C2×C4×D4C2312yes—
131C2×C4×D4C2311yescharacteristic
132C2×#117—21no—
133C2×#117C2311yescharacteristic
134C2×#117C2312yes—
135C2×#117C2311yescharacteristic
136C2×#117C2311yescharacteristic
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2312yes—
141C22×C22⋊C4—21no—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144#423—24no—
145C2×C4⋊C8—24no—
146C2×C4⋊C8C2311yescharacteristic
147C2×C4⋊C8C2311yescharacteristic
148C2×C4⋊C8C2312yes—
149C2×C4⋊C8C2312yes—
150C2×C4⋊C8C2312yes—
151#418—44no—
152#417—44no—
153#416—44no—
154C2×#103C2314yes—
155C2×#103C2312yes—
156C2×#103C2312yes—
157C2×#102—44no—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2312yes—
164C2×#102C2312yes—
165#405—28no—
166C2×#97C2314yes—
167C2×C4×C8C2314yes—
168#398—24no—
169#398—24no—
170#395—24no—
171#395—24no—
172#391C2312yes—
173#390—21no—
174#390—21no—
175#390—22no—
176#390—22no—
177#390C2312yes—
178#390C2312yes—
179#390C2312yes—
180#389—21no—
181#389—21no—
182#389—22no—
183#389—22no—
184#389—22no—
185#389—22no—
186#389—22no—
187#389—22no—
188#388—22no—
189#388—22no—
190#388—22no—
191#388—22no—
192#386—22no—
193#386—22no—
194#386—22no—
195#386—22no—
196#386—22no—
197#385—22no—
198#385—24no—
199#385—22no—
200#385—22no—
201#384—22no—
202#384—22no—
203#384—21no—
204#384—21no—
205#384C2312yes—
206#384C2311yescharacteristic
207#384C2312yes—
208#384C2311yescharacteristic
209#384C2312yes—
210#384C2314yes—
211#382C2312yes—
212#382C2312yes—
213#382C2314yes—
214#380—21no—
215#380—21no—
216#380—21no—
217#380—21no—
218#379—22no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4D411yescharacteristic
222C4×C4⋊C4D411yescharacteristic
223C4×C4⋊C4D411yescharacteristic
224C4×C4⋊C4D411yescharacteristic
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4D412yes—
228C4×C22⋊C4D412yes—
229#376C2312yes—
230C43C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#340C2312yes—
239#340C2312yes—
240#340C2312yes—
241#336C2314yes—
242#336C2314yes—
243C25—21no—
244C2×#41—22no—
245C2×#41—22no—
246C2×#41—22no—
247C2×#41—22no—
248C2×#41—22no—
249C2×#41C2×Q814yes—
250C22×Q8—24no—
251C22×Q8C2411yescharacteristic
252C22×D4—21no—
253C22×D4—21no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—22no—
259C22×D4—22no—
260C22×D4—22no—
261C22×D4C2×Q814yes—
262C22×D4C2412yes—
263C22×D4C2411yescharacteristic
264C23×C4—21no—
265C23×C4—21no—
266C23×C4—22no—
267C23×C4—21no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—21no—
271C23×C4—44no—
272C23×C4—82no—
273C23×C4—82no—
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2411yescharacteristic
277C2×M16—24no—
278C2×M16—24no—
279C2×M16—24no—
280C22×C8—24no—
281C22×C8—24no—
282C22×C8—24no—
283C22×C8C2412yes—
284C22×C8C2412yes—
285C22×C8C2414yes—
286C4⋊Q8—44no—
287C4⋊Q8—44no—
288C4⋊Q8—48no—
289C4⋊Q8—84no—
290C4⋊Q8—84no—
291#127—24no—
292#127C2×Q818yes—
293#125—44no—
294#125—44no—
295#125—48no—
296#124—24no—
297#124C2×Q818yes—
298C22⋊Q8—416no—
299#121—28no—
300#121—28no—
301#120—216no—
302C4×Q8—22no—
303C4×Q8—22no—
304C4×Q8—22no—
305C4×Q8—22no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—22no—
311C4×D4—22no—
312C4×D4—22no—
313C4×D4—22no—
314C4×D4—44no—
315C4×D4—44no—
316C4×D4—44no—
317C4×D4—44no—
318C4×D4—84no—
319C4×D4—84no—
320#117—22no—
321#117—22no—
322#117—22no—
323#117—22no—
324#117—24no—
325#117—24no—
326#117—44no—
327#117C2×Q814yes—
328#117#4114yes—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—24no—
340C2×C4⋊C4—24no—
341C2×C4⋊C4—24no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—24no—
351C2×C4⋊C4—24no—
352C2×C4⋊C4—82no—
353C2×C4⋊C4—82no—
354C2×C4⋊C4C2×D411yescharacteristic
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2×D411yescharacteristic
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
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—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—44no—
379C2×C22⋊C4C2×D412yes—
380C2×C22⋊C4C2×D412yes—
381C2×C42—21no—
382C2×C42—22no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—44no—
386C2×C42C2×D412yes—
387C2×C42C2×D412yes—
388C2×C42C2×D412yes—
389C2×C42C2×D412yes—
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42#4114yes—
393C2×C42#4114yes—
394C2×C42C2412yes—
395C2×C42C2412yes—
396C2×C42C2411yescharacteristic
397C2×C42C2411yescharacteristic
398C4⋊C8—22no—
399C4⋊C8—22no—
400C4⋊C8—24no—
401C4⋊C8—24no—
402C4⋊C8—24no—
403#103—42no—
404#103—42no—
405#103—44no—
406#102—44no—
407#102—44no—
408#102—42no—
409#102—42no—
410#102—44no—
411#102—44no—
412#102—44no—
413#97—28no—
414C4×C8—28no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—24no—
422#95—24no—
423#95C2×D412yes—
424#95C2×D412yes—
425#95C2×D412yes—
426#95C2×D412yes—
427C24—22no—
428C24—21no—
429C24—24no—
430C24—42no—
431C24—42no—
432C24—81no—
433C24—81no—
434C24—81no—
435C24—81no—
436C24C22×D411yescharacteristic
437#41—28no—
438#41—28no—
439#41—44no—
440#41—44no—
441C2×Q8—21no—
442C2×Q8—21no—
443C2×Q8—21no—
444C2×Q8—21no—
445C2×Q8—21no—
446C2×Q8—48no—
447C2×Q8—84no—
448C2×Q8—84no—
449C2×Q8C22×Q812yes—
450C2×D4—24no—
451C2×D4—24no—
452C2×D4—28no—
453C2×D4—28no—
454C2×D4—28no—
455C2×D4—28no—
456C2×D4—22no—
457C2×D4—22no—
458C2×D4—21no—
459C2×D4—21no—
460C2×D4—22no—
461C2×D4—21no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—82no—
473C2×D4—82no—
474C2×D4—82no—
475C2×D4—82no—
476C2×D4C22×Q814yes—
477C2×D4C22×Q812yes—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—21no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—21no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—44no—
500C22×C4—42no—
501C22×C4—44no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—816no—
507C22×C4—81no—
508C22×C4—81no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4#12414yes—
512C22×C4#12414yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×Q812yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4H(5,𝔽2)12yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C4C2511yescharacteristic
529M16—48no—
530C2×C8—22no—
531C2×C8—24no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—24no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—24no—
539C2×C8—48no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—48no—
557C4⋊C4—48no—
558C4⋊C4—48no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—82no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—84no—
572C4⋊C4—84no—
573C4⋊C4C22⋊Q814yes—
574C4⋊C4C22⋊Q814yes—
575C22⋊C4—24no—
576C22⋊C4—28no—
577C22⋊C4—28no—
578C22⋊C4—42no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4C22⋊Q818yes—
591C42—24no—
592C42—24no—
593C42—22no—
594C42—22no—
595C42—42no—
596C42—42no—
597C42—42no—
598C42—42no—
599C42—42no—
600C42—44no—
601C42#12414yes—
602C42#12414yes—
603C42C22×Q814yes—
604C42C2×#4114yes—
605C42C2×#4112yes—
606C42C2×#4112yes—
607C42C2×#4112yes—
608C42C2×#4112yes—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—24no—
614C23—22no—
615C23—42no—
616C23—41no—
617C23—42no—
618C23—41no—
619C23—48no—
620C23—41no—
621C23—42no—
622C23—41no—
623C23—42no—
624C23—41no—
625C23—42no—
626C23—41no—
627C23—42no—
628C23—84no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23C2×C22⋊Q812yes—
635C23C2×#12412yes—
636C23#53512yes—
637C23C23×D411yescharacteristic
638Q8—22no—
639Q8—22no—
640Q8—41no—
641Q8—41no—
642Q8—168no—
643D4—24no—
644D4—24no—
645D4—22no—
646D4—22no—
647D4—48no—
648D4—48no—
649D4—42no—
650D4—42no—
651D4—41no—
652D4—41no—
653D4—88no—
654D4—88no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—22no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—28no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—48no—
677C2×C4—41no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—84no—
696C2×C4—88no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4—88no—
700C2×C4—164no—
701C2×C4C2×C22⋊Q814yes—
702C2×C4C2×C22⋊Q814yes—
703C2×C4C2×C22⋊Q812yes—
704C2×C4C2×#12412yes—
705C2×C4C2×#12412yes—
706C2×C4C2×#12412yes—
707C2×C4C2×#12412yes—
708C2×C4C2×#12412yes—
709C2×C4#53512yes—
710C2×C4#55414yes—
711C2×C4#55414yes—
712C2×C4#55514yes—
713C2×C4#55514yes—
714C2×C4#57612yes—
715C2×C4#57712yes—
716C2×C4C23×Q811yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C2×C4C22×#4111yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C2×H(5,𝔽2)11yescharacteristic
721C2×C4C2×H(5,𝔽2)11yescharacteristic
722C8—42no—
723C8—42no—
724C8—44no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—42no—
732C22—44no—
733C22—42no—
734C22—44no—
735C22—42no—
736C22—44no—
737C22—816no—
738C22—81no—
739C22—82no—
740C22—81no—
741C22—82no—
742C22—82no—
743C22—81no—
744C22—81no—
745C22—82no—
746C22#256314yes—
747C22C22×C22⋊Q811yescharacteristic
748C22C22×#12411yescharacteristic
749C22C2×#53511yescharacteristic
750C22C2×#57611yescharacteristic
751C22C2×#57711yescharacteristic
752C22#358511yescharacteristic
753C22#358611yescharacteristic
754C4—24no—
755C4—24no—
756C4—22no—
757C4—22no—
758C4—22no—
759C4—42no—
760C4—42no—
761C4—42no—
762C4—84no—
763C4—82no—
764C4—82no—
765C4—81no—
766C4—82no—
767C4—81no—
768C4#256314yes—
769C4#313614yes—
770C4C2×#55411yescharacteristic
771C4C2×#55411yescharacteristic
772C4C2×#55511yescharacteristic
773C4C2×#55511yescharacteristic
774C2—24no—
775C2—82no—
776C2—84no—
777C2C2×#256311yescharacteristic
778C2#6049411yescharacteristic
779C2#6049511yescharacteristic
780C2C2×#313611yescharacteristic
781C2#6062111yescharacteristic
782C2#6083211yescharacteristic
783C2#6083611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#535C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35275C2semidirect
3. #29152C2semidirect
4. #29151C2semidirect
5. #29149C2semidirect
6. #29148C2semidirect
7. #29140C2semidirect
8. #29139C2semidirect
9. #23458C2semidirect
10. #23456C2semidirect
12. #20763C2semidirect
13. #20648C2semidirect
14. #20646C2semidirect
15. #20645C2semidirect
16. C2×#1802C2semidirect
17. #20431C2semidirect
29. #2868C22semidirect
30. #2859C22semidirect
31. #2660C22semidirect
55. #2026C22semidirect
58. #2025C22semidirect
59. #2024C22semidirect
62. #2023C22semidirect
67. #1836C22semidirect
68. #1836C22semidirect
69. #1835C22semidirect
70. #1834C22semidirect
71. #1805C22semidirect
73. #1804C22semidirect
74. #1803C22semidirect
75. #1803C22semidirect
76. #1803C22semidirect
77. #1803C22semidirect
83. #1802C22semidirect
84. #1802C22semidirect
85. #1802C22semidirect
86. #1802C22semidirect
87. #1768C22semidirect
88. #1767C22semidirect
89. C4×C4⋊C8C22semidirect
103. #535Q8semidirect

Maximal subgroups

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

subgroupindex
#352752
C4×#5352
#291522
#291512
#291492
#291482
#291402
#291392
#234582
#234562
#212062
#207632
#206482
#206462
#206452
C2×#18022
#204312