Finite Group Databasebeta

← #6345537

Subgroups — #6345537

Order 512.

1607 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60946C211yesmaximal, characteristic
2#60287C211yesmaximal, characteristic, complemented
3#60236C211yesmaximal, characteristic, complemented
4#18091C212yesmaximal, complemented
5#18089C212yesmaximal, complemented
6#18085C212yesmaximal, complemented
7#18084C212yesmaximal, complemented
8#18011C214yesmaximal, complemented
9#18007C214yesmaximal, complemented
10#17946C214yesmaximal, complemented
11#17918C214yesmaximal, complemented
12#17806C211yesmaximal, characteristic, complemented
13#17490C211yesmaximal, characteristic, complemented
14#17467C211yesmaximal, characteristic, complemented
15#17324C211yesmaximal, characteristic, complemented
16#3444C2211yescharacteristic
17C2×#532C2211yescharacteristic
18#3247C414yes—
19#3230C411yescharacteristic
20#3228C411yescharacteristic
21#3228C411yescharacteristic
22#3227C411yescharacteristic
23#3208C411yescharacteristic
24#3207C411yescharacteristic
25#3207C411yescharacteristic
26#3205C411yescharacteristic
27#3188C414yes—
28#3169C2211yescharacteristic
29#3169C2211yescharacteristic
30#3167C2211yescharacteristic
31#3167C2211yescharacteristic
32#3106C2214yes—
33#3105C2214yes—
34#2993—22no—
35#2993C2214yes—
36#2986C2212yescomplemented
37#2981—22no—
38#2979C2212yes—
39#2979C2212yes—
40#2979C2212yescomplemented
41#2978—22no—
42#2975C2212yes—
43#2974—21no—
44#2974—21no—
45#2972C2212yes—
46#2971—21no—
47#2971C2212yescomplemented
48#2970—21no—
49#2970C2212yescomplemented
50#2935C2214yes—
51#2931—22no—
52#2923—22no—
53#2920C2211yescharacteristic
54#2920C2211yescharacteristic
55#2920C2211yescharacteristic
56C2×#431C2211yescharacteristic
57C2×#431C2211yescharacteristic
58#2880—22no—
59#1594C2214yescomplemented
60#1592C2214yescomplemented
61#1590C2214yescomplemented
62#1589C2214yescomplemented
63#1588C2214yescomplemented
64#1586C2214yescomplemented
65#1586C2214yescomplemented
66#1585C2214yescomplemented
67#1583C2214yescomplemented
68#1582C2214yescomplemented
69#1581C2214yescomplemented
70#1581C2214yescomplemented
71#1580C2214yescomplemented
72SD16⋊C8C2214yescomplemented
73C8×SD16C2214yescomplemented
74C8×D8C2214yescomplemented
75#1574C2212yes—
76#1574C2212yes—
77#1573C2212yescomplemented
78#1573C2212yescomplemented
79#1564C2212yescomplemented
80#1564C2212yescomplemented
81#1496C2212yes—
82#1496C2212yes—
83#1486C2214yes—
84#1485C2212yescomplemented
85#1484C2212yes—
86#1484C2212yes—
87#1484C2212yescomplemented
88#1482C2212yes—
89#1482C2212yes—
90#1477C2214yescomplemented
91#1454C2214yes—
92#1453C2214yescomplemented
93#1451C2212yescomplemented
94C8×M16C2212yescomplemented
95C22×#41—21no—
96C2×#131—24no—
97#533C2×C411yescharacteristic
98#533C2×C411yescharacteristic
99#533C2311yescharacteristic
100#532—21no—
101#532—21no—
102#532—21no—
103#532—21no—
104#532C2×C411yescharacteristic
105#532C2×C411yescharacteristic
106#532C2×C411yescharacteristic
107#532C2×C412yes—
108#532C2×C411yescharacteristic
109#532C2312yes—
110#532C2311yescharacteristic
111#532C2311yescharacteristic
112#532C2311yescharacteristic
113C2×C4⋊Q8C2×C411yescharacteristic
114C2×#127C2×C411yescharacteristic
115#529—21no—
116#529—21no—
117#529—21no—
118#529—21no—
119#529C2×C412yes—
120#529C2312yes—
121C2×#124—21no—
122#525—21no—
123#525—21no—
124#525C2×C412yes—
125C2×#121—21no—
126C2×#121C2×C412yes—
127C4×#41—21no—
128C4×#41—21no—
129C4×#41C2312yes—
130C2×C4×D4—21no—
131C2×C4×D4C2312yes—
132C22×C42C2311yescharacteristic
133#500C2×C411yescharacteristic
134#500C2×C411yescharacteristic
135#498C2×C411yescharacteristic
136#498C2×C411yescharacteristic
137#493C2×C411yescharacteristic
138#493C2×C411yescharacteristic
139#492C2×C411yescharacteristic
140#492C2×C411yescharacteristic
141#487C2×C411yescharacteristic
142#487C2×C411yescharacteristic
143#486C2×C411yescharacteristic
144#486C2×C411yescharacteristic
145#486C2×C411yescharacteristic
146#486C2×C411yescharacteristic
147#486C2×C411yescharacteristic
148#486C2×C411yescharacteristic
149#484C2×C414yes—
150#482C2×C414yes—
151#482C2×C414yes—
152#481C2×C414yes—
153#478C2×C414yes—
154#478C2×C414yes—
155#477C2×C414yes—
156#476C2×C414yes—
157#466C2×C414yes—
158#466C2×C414yes—
159#465C2×C414yes—
160#465C2×C414yes—
161#463C2×C414yes—
162#463C2×C414yes—
163#460C2×C414yes—
164#459C2×C414yes—
165#450C2×C414yes—
166#449C2×C414yes—
167#449C2×C414yes—
168#447C2×C414yes—
169#446—22no—
170#446C2314yes—
171C8×Q8—22no—
172C8×Q8C2314yes—
173C4×SD16C2314yes—
174C4×SD16C2314yes—
175C4×D8C2314yes—
176C4×D8C2314yes—
177#436—24no—
178#436—22no—
179#436—22no—
180#436—24no—
181#436—22no—
182#436—24no—
183#436C2314yes—
184#436C2314yes—
185#436C2314yes—
186#435—24no—
187#435—24no—
188#435—24no—
189#435—24no—
190C8×D4—24no—
191C8×D4—22no—
192C8×D4—22no—
193C8×D4—22no—
194C8×D4C2314yes—
195C8×D4C2314yes—
196C8×D4C2314yes—
197#433—24no—
198#433—24no—
199#432—21no—
200#432—21no—
201#432—21no—
202#432—22no—
203#432—22no—
204#432D412yes—
205#432D411yescharacteristic
206#432D411yescharacteristic
207#432C2311yescharacteristic
208#432C2311yescharacteristic
209#431—21no—
210#431—21no—
211#431—21no—
212#431C2×C411yescharacteristic
213#431C2×C411yescharacteristic
214#431C2×C411yescharacteristic
215#431C2×C411yescharacteristic
216#431C2312yes—
217#431C2312yes—
218#431C2311yescharacteristic
219#431C2311yescharacteristic
220#431C2312yes—
221#431C2312yes—
222#431C2312yes—
223#431C2312yes—
224#431C2312yes—
225#431C2312yes—
226#424—24no—
227#423—21no—
228#423D412yes—
229#423C2312yes—
230C2×C4⋊C8C2×C412yes—
231C2×C4⋊C8C2312yes—
232#408—24no—
233#408—24no—
234#408—24no—
235#408—24no—
236#407—21no—
237#407—21no—
238#407—22no—
239#407—22no—
240#407D412yes—
241C2×C22⋊C8—21no—
242C2×C22⋊C8—22no—
243C2×C22⋊C8—22no—
244C2×C22⋊C8C2×C412yes—
245C4×M16—21no—
246C4×M16—22no—
247C4×M16C2312yes—
248C4×M16C2312yes—
249C2×#97—22no—
250C2×C4×C8—21no—
251C2×C4×C8C2311yescharacteristic
252C2×C4×C8C2311yescharacteristic
253#335C2312yes—
254#335C2312yes—
255#335C2312yes—
256#335C2312yes—
257#334C2312yes—
258#334C2312yes—
259#334C2312yes—
260#334C2312yes—
261Q8⋊C8C2314yes—
262Q8⋊C8C2314yes—
263D4⋊C8C2314yes—
264D4⋊C8C2314yes—
265D4⋊C8C2314yes—
266D4⋊C8C2314yes—
267D4⋊C8C2314yes—
268D4⋊C8C2314yes—
269#322C2314yes—
270#322C2314yes—
271#322C2314yes—
272C82C2314yes—
273C2×#41—21no—
274C2×#41—21no—
275C2×#41—21no—
276C2×#41—22no—
277C2×#41—22no—
278C2×#41—21no—
279C2×#41—21no—
280C2×#41—21no—
281C2×#41—84no—
282C2×#41C22×C412yes—
283C22×Q8—21no—
284C22×D4—22no—
285C22×D4—21no—
286C22×D4—21no—
287C22×D4C22×C412yes—
288C23×C4—22no—
289C23×C4C22×C411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4#4111yescharacteristic
292C2×SD16C22×C414yes—
293C2×SD16C22×C414yes—
294C2×D8C22×C414yes—
295C2×D8C22×C414yes—
296#131—88no—
297C2×M16—22no—
298C2×M16—22no—
299C2×M16—24no—
300C2×M16—24no—
301C2×M16—24no—
302C2×M16C2×D414yes—
303C22×C8—22no—
304C22×C8—24no—
305C22×C8—24no—
306C22×C8—24no—
307C22×C8C22×C412yes—
308C22×C8C22×C412yes—
309C4⋊Q8—21no—
310C4⋊Q8—21no—
311C4⋊Q8C22×C411yescharacteristic
312C4⋊Q8C22×C412yes—
313C4⋊Q8C22×C411yescharacteristic
314C4⋊Q8C22×C411yescharacteristic
315C4⋊Q8C22×C411yescharacteristic
316C4⋊Q8C22×C411yescharacteristic
317#127—21no—
318#127—21no—
319#127C22×C412yes—
320#127C22×C411yescharacteristic
321#127C22×C411yescharacteristic
322#127C22×C411yescharacteristic
323#126—22no—
324#126—22no—
325#125—21no—
326#125—21no—
327#125C22×C412yes—
328#124—21no—
329#124—21no—
330#124—22no—
331#124—21no—
332#124—21no—
333#124—21no—
334#124—22no—
335#124—21no—
336#124C22×C412yes—
337#123—22no—
338#123—22no—
339#123—22no—
340C22⋊Q8—21no—
341C22⋊Q8—21no—
342C22⋊Q8—21no—
343C22⋊Q8—21no—
344C22⋊Q8C22×C412yes—
345C22⋊Q8C22×C412yes—
346#121—21no—
347#121—21no—
348#121—22no—
349#121—22no—
350#121—22no—
351#121—21no—
352#121—21no—
353#121—21no—
354#121—21no—
355#121—21no—
356#121—22no—
357#121—21no—
358#121C22×C412yes—
359#121C22×C412yes—
360#121C22×C412yes—
361#121C22×C412yes—
362#121C22×C412yes—
363#121C22×C412yes—
364#120—22no—
365C4×Q8—21no—
366C4×Q8—21no—
367C4×Q8—21no—
368C4×Q8—21no—
369C4×Q8C22×C412yes—
370C4×Q8C2412yes—
371C4×D4—22no—
372C4×D4—22no—
373C4×D4—22no—
374C4×D4—22no—
375C4×D4—22no—
376C4×D4—22no—
377C4×D4—22no—
378C4×D4—21no—
379C4×D4—21no—
380C4×D4—21no—
381C4×D4—21no—
382C4×D4—21no—
383C4×D4—21no—
384C4×D4—21no—
385C4×D4—22no—
386C4×D4—22no—
387C4×D4—21no—
388C4×D4—22no—
389C4×D4C22×C412yes—
390C4×D4C22×C412yes—
391C4×D4C22×C412yes—
392C4×D4C2412yes—
393C4×D4C2412yes—
394C4×D4C2412yes—
395#117—21no—
396#117—21no—
397#117—22no—
398#117—22no—
399#117—22no—
400#117C22×C412yes—
401C2×C4⋊C4—21no—
402C2×C4⋊C4C22×C412yes—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—22no—
405C2×C42—22no—
406C2×C42C22×C411yescharacteristic
407C2×C42C22×C411yescharacteristic
408C2×C42C22×C411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42#4111yescharacteristic
413C2×C42#4111yescharacteristic
414C2×C42#4111yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418#107C22×C414yes—
419#107C22×C414yes—
420#106C22×C414yes—
421#106C22×C414yes—
422C4⋊C8—24no—
423C4⋊C8—24no—
424C4⋊C8—22no—
425C4⋊C8—22no—
426C4⋊C8—22no—
427C4⋊C8—22no—
428C4⋊C8C22×C412yes—
429C4⋊C8C22×C412yes—
430C4⋊C8C22×C412yes—
431C4⋊C8C22×C412yes—
432C4⋊C8C2×D414yes—
433C4⋊C8C2×D412yes—
434C4⋊C8C2×D412yes—
435C4⋊C8C2412yes—
436C4⋊C8C2412yes—
437C4⋊C8C2412yes—
438C4⋊C8C2412yes—
439#103C22×C414yes—
440#103C22×C414yes—
441#102C22×C414yes—
442#102C22×C414yes—
443#102C22×C414yes—
444#102C22×C414yes—
445#102C22×C414yes—
446#102C22×C414yes—
447C22⋊C8—21no—
448C22⋊C8—21no—
449C22⋊C8—22no—
450C22⋊C8—22no—
451C22⋊C8—21no—
452C22⋊C8—21no—
453C22⋊C8—22no—
454C22⋊C8—22no—
455C22⋊C8—24no—
456C22⋊C8—24no—
457C22⋊C8—24no—
458C22⋊C8—24no—
459C22⋊C8—24no—
460C22⋊C8—24no—
461C22⋊C8C22×C412yes—
462C22⋊C8C22×C412yes—
463C22⋊C8C22×C412yes—
464C22⋊C8C22×C412yes—
465C22⋊C8C2×D412yes—
466C22⋊C8C2×D412yes—
467C22⋊C8C2×D414yes—
468#97—24no—
469#97—21no—
470#97—21no—
471#97—22no—
472#97C2×D412yes—
473#97C2×D412yes—
474C4×C8—24no—
475C4×C8—21no—
476C4×C8—22no—
477C4×C8—21no—
478C4×C8—22no—
479C4×C8C22×C411yescharacteristic
480C4×C8C22×C411yescharacteristic
481C4×C8C22×C411yescharacteristic
482C4×C8C22×C411yescharacteristic
483C4×C8C2414yes—
484C4×C8C2412yes—
485C4×C8C2412yes—
486C4×C8C2414yes—
487C24—22no—
488C24C4×D411yescharacteristic
489#41—48no—
490#41—44no—
491#41—82no—
492#41—82no—
493#41—82no—
494#41—82no—
495#41—82no—
496#41—82no—
497#41—84no—
498C2×Q8—21no—
499C2×Q8—22no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—82no—
504C2×Q8C23×C412yes—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—21no—
513C2×D4—22no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—22no—
517C2×D4—21no—
518C2×D4—22no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—44no—
522C2×D4—82no—
523C2×D4—82no—
524C2×D4—84no—
525C2×D4C23×C412yes—
526C2×D4C23×C412yes—
527C2×D4C23×C412yes—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—84no—
540C22×C4C4×D411yescharacteristic
541C22×C4C4×D411yescharacteristic
542C22×C4C4×D411yescharacteristic
543C22×C4C4×D411yescharacteristic
544C22×C4C4×D411yescharacteristic
545C22×C4C4×D411yescharacteristic
546C22×C4C4×D411yescharacteristic
547C22×C4C4×D411yescharacteristic
548C22×C4C4×D411yescharacteristic
549C22×C4C23×C411yescharacteristic
550C22×C4C23×C411yescharacteristic
551C22×C4C23×C411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C2×#4111yescharacteristic
556C22×C4C2×#4111yescharacteristic
557C22×C4C2×#4111yescharacteristic
558SD16—44no—
559SD16—44no—
560D8—44no—
561D8—44no—
562M16—44no—
563M16—44no—
564M16—84no—
565M16—84no—
566M16—84no—
567M16—82no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—24no—
573C2×C8—42no—
574C2×C8—42no—
575C2×C8—44no—
576C2×C8—84no—
577C2×C8—84no—
578C2×C8—84no—
579C2×C8C23×C412yes—
580C2×C8C23×C412yes—
581C2×C8C23×C412yes—
582C2×C8C23×C412yes—
583C2×C8C22×D414yes—
584C2×C8C22×D414yes—
585C4⋊C4—22no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—22no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—22no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4C23×C412yes—
600C4⋊C4C23×C412yes—
601C4⋊C4C23×C412yes—
602C4⋊C4C23×C412yes—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—22no—
618C22⋊C4—22no—
619C22⋊C4—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42C4×D411yescharacteristic
624C42C4×D411yescharacteristic
625C42C4×D411yescharacteristic
626C42C4×D411yescharacteristic
627C42C4×D411yescharacteristic
628C42C4×D411yescharacteristic
629C42C23×C411yescharacteristic
630C42C23×C411yescharacteristic
631C42C23×C411yescharacteristic
632C42C22×D411yescharacteristic
633C42C22×D411yescharacteristic
634C42C22×D411yescharacteristic
635C42C2×#4111yescharacteristic
636C42C2×#4111yescharacteristic
637C42C2×#4111yescharacteristic
638C42C2511yescharacteristic
639C23—22no—
640C23—22no—
641C23—22no—
642C23—41no—
643C23—41no—
644C23—41no—
645C23—44no—
646C23—82no—
647C23—82no—
648C23C2×C4×D411yescharacteristic
649C23C2×C4×D411yescharacteristic
650C23C2×C4×D411yescharacteristic
651Q8—24no—
652Q8—44no—
653Q8—42no—
654Q8—81no—
655Q8—81no—
656Q8—81no—
657D4—24no—
658D4—24no—
659D4—24no—
660D4—44no—
661D4—44no—
662D4—44no—
663D4—44no—
664D4—42no—
665D4—42no—
666D4—42no—
667D4—82no—
668D4—81no—
669D4—81no—
670D4—81no—
671D4—82no—
672D4—82no—
673D4—82no—
674D4—82no—
675D4—82no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—82no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4—82no—
706C2×C4—82no—
707C2×C4C2×C4×D411yescharacteristic
708C2×C4C2×C4×D411yescharacteristic
709C2×C4C2×C4×D411yescharacteristic
710C2×C4C2×C4×D411yescharacteristic
711C2×C4C2×C4×D411yescharacteristic
712C2×C4C2×C4×D411yescharacteristic
713C2×C4C2×C4×D411yescharacteristic
714C2×C4C2×C4×D411yescharacteristic
715C2×C4C2×C4×D411yescharacteristic
716C2×C4C24×C411yescharacteristic
717C2×C4C23×D411yescharacteristic
718C2×C4C22×#4111yescharacteristic
719C8—24no—
720C8—24no—
721C8—22no—
722C8—22no—
723C8—22no—
724C8—22no—
725C8—44no—
726C8—42no—
727C8—42no—
728C8—42no—
729C8—42no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—82no—
749C22—164no—
750C22C22×C4×D411yescharacteristic
751C4—21no—
752C4—21no—
753C4—21no—
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—21no—
759C4—21no—
760C4—42no—
761C4—42no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4#295712yes—
766C4#357312yes—
767C4#358512yes—
768C2—41no—
769C2—41no—
770C2—41no—
771C2—82no—
772C2—82no—
773C2—82no—
774C2#6014211yescharacteristic
775C2#6016811yescharacteristic
776C2C2×#295711yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#60946C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ #2920 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60287C2semidirect
3. #60236C2semidirect
4. #18091C2semidirect
5. #18089C2semidirect
6. #18085C2semidirect
7. #18084C2semidirect
8. #18011C2semidirect
9. #18007C2semidirect
10. #17946C2semidirect
11. #17918C2semidirect
12. #17806C2semidirect
13. #17490C2semidirect
14. #17467C2semidirect
15. #17324C2semidirect
36. #2986C22semidirect
40. #2979C22semidirect
47. #2971C22semidirect
49. #2970C22semidirect
59. #1594C22semidirect
60. #1592C22semidirect
61. #1590C22semidirect
62. #1589C22semidirect
63. #1588C22semidirect
64. #1586C22semidirect
65. #1586C22semidirect
66. #1585C22semidirect
67. #1583C22semidirect
68. #1582C22semidirect
69. #1581C22semidirect
70. #1581C22semidirect
71. #1580C22semidirect
72. SD16⋊C8C22semidirect
73. C8×SD16C22semidirect
74. C8×D8C22semidirect
77. #1573C22semidirect
78. #1573C22semidirect
79. #1564C22semidirect
80. #1564C22semidirect
84. #1485C22semidirect
87. #1484C22semidirect
90. #1477C22semidirect
92. #1453C22semidirect
93. #1451C22semidirect
94. C8×M16C22semidirect

Maximal subgroups

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

subgroupindex
#609462
#602872
#602362
#180912
#180892
#180852
#180842
#180112
#180072
#179462
#179182
#178062
#174902
#174672
#173242