Finite Group Databasebeta

← #6344652

Subgroups — #6344652

Order 512.

1679 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60559C211yesmaximal, characteristic
2#60294C211yesmaximal, characteristic, complemented
3#60276C211yesmaximal, characteristic, complemented
4#17921C214yesmaximal, complemented
5#17920C214yesmaximal, complemented
6#17909C214yesmaximal, complemented
7#17904C214yesmaximal, complemented
8#17874C212yesmaximal, complemented
9#17873C212yesmaximal, complemented
10#17853C212yesmaximal, complemented
11#17852C212yesmaximal, complemented
12#17810C211yesmaximal, characteristic, complemented
13#17458C211yesmaximal, characteristic, complemented
14C2×#1488C211yesmaximal, characteristic, complemented
15#17326C211yesmaximal, characteristic, complemented
16#3444C2211yescharacteristic
17C2×C4×#41C2211yescharacteristic
18#3116C412yes—
19#3115C412yes—
20#3111C414yes—
21#3107C2212yes—
22#3106C2212yes—
23#3102C2214yes—
24#3093C412yes—
25#3078C411yescharacteristic
26#3077C411yescharacteristic
27#3037C411yescharacteristic
28#3036C411yescharacteristic
29#3005C412yes—
30#2990—22no—
31#2989C2212yes—
32#2988—22no—
33#2988C2214yes—
34#2988C2212yes—
35#2985C2212yescomplemented
36#2982C2211yescharacteristic
37#2982C2211yescharacteristic
38#2981C2212yescomplemented
39#2977—22no—
40#2972—22no—
41#2972C2211yescharacteristic
42#2972C2211yescharacteristic
43#2968—22no—
44#2966C2214yescomplemented
45C8×#41—22no—
46C8×#41C2214yes—
47C4×#137C2212yes—
48C4×AGL(1,ℤ/8)C2212yes—
49#2925—22no—
50#2920C2211yescharacteristic
51C2×#432C2211yescharacteristic
52C2×#431—22no—
53C2×#431C2211yescharacteristic
54C2×#431C2211yescharacteristic
55C2×#431C2211yescharacteristic
56#1588C2214yescomplemented
57#1587C2214yescomplemented
58#1586C2214yescomplemented
59#1585C2214yescomplemented
60#1584C2214yescomplemented
61#1583C2214yescomplemented
62#1582C2214yescomplemented
63#1581C2214yescomplemented
64#1580C2214yescomplemented
65#1579C2214yescomplemented
66SD16⋊C8C2214yescomplemented
67SD16⋊C8C2214yescomplemented
68C8×Q16C2214yescomplemented
69C8×SD16C2214yescomplemented
70C8×SD16C2214yescomplemented
71C8×D8C2214yescomplemented
72#1573C2214yescomplemented
73#1572C2214yescomplemented
74#1565C2212yes—
75#1565C2212yes—
76#1488C2214yes—
77#1488C2212yes—
78#1488C2212yes—
79#1482C2212yescomplemented
80#1482C2212yescomplemented
81#1481C2212yescomplemented
82#1480C2212yescomplemented
83#1476C2212yes—
84#1476C2212yes—
85C2×Q8⋊C8C2212yes—
86C2×D4⋊C8C2212yes—
87#1454C2214yescomplemented
88#1452C2212yescomplemented
89#1451C2212yes—
90#1450C2212yescomplemented
91C8×M16C2212yes—
92C22×#41C2×C411yescharacteristic
93C2×#137C2×C412yes—
94C2×AGL(1,ℤ/8)C2×C412yes—
95#533C2×C411yescharacteristic
96#533C2×C411yescharacteristic
97#533C2311yescharacteristic
98#532C2×C411yescharacteristic
99#532C2×C411yescharacteristic
100#532C2311yescharacteristic
101#529—21no—
102#529—21no—
103#529—21no—
104#529—21no—
105#529C2×C412yes—
106#529C2312yes—
107#525—21no—
108#525—21no—
109#525C2×C412yes—
110C4×#41—21no—
111C4×#41—21no—
112C4×#41—21no—
113C4×#41—21no—
114C4×#41—21no—
115C4×#41—21no—
116C4×#41C2×C412yes—
117C4×#41C2×C412yes—
118C4×#41C2312yes—
119C4×#41C2312yes—
120C4×#41C2312yes—
121C2×C4×Q8C2×C411yescharacteristic
122C2×C4×Q8C2311yescharacteristic
123C2×C4×D4—21no—
124C2×C4×D4—21no—
125C2×C4×D4C2×C411yescharacteristic
126C2×C4×D4C2311yescharacteristic
127C2×#117—21no—
128C2×#117C2×C411yescharacteristic
129C22×C42—21no—
130C22×C42C2311yescharacteristic
131#485C2×C414yes—
132#485C2×C414yes—
133#482C2×C414yes—
134#482C2×C414yes—
135#479C2×C414yes—
136#478C2×C414yes—
137#477C2×C412yes—
138#476C2×C412yes—
139#475C2×C412yes—
140#474C2×C412yes—
141#464C2×C414yes—
142#463C2×C414yes—
143#462C2×C412yes—
144#461C2×C412yes—
145#460C2×C412yes—
146#459C2×C412yes—
147#452C2×C414yes—
148#452C2×C414yes—
149#449C2×C414yes—
150#449C2×C414yes—
151#446—24no—
152#446C2314yes—
153C8×Q8—22no—
154C8×Q8—22no—
155C8×Q8C2314yes—
156C8×Q8C2314yes—
157C8×Q8C2314yes—
158#442C2×C414yes—
159#441C2×C414yes—
160#440C2×C414yes—
161#440C2×C414yes—
162C4×Q16C2314yes—
163C4×SD16C2314yes—
164C4×SD16C2314yes—
165C4×D8C2314yes—
166#436C2314yes—
167#435—24no—
168#435—24no—
169#435—24no—
170C8×D4—24no—
171C8×D4—24no—
172C8×D4—24no—
173C8×D4—22no—
174C8×D4—22no—
175C8×D4—24no—
176C8×D4—24no—
177C8×D4—24no—
178C8×D4C2314yes—
179C8×D4C2314yes—
180C8×D4C2314yes—
181#433—24no—
182#433—24no—
183#432—21no—
184#432—21no—
185#432—22no—
186#432C2×C412yes—
187#432C2×C412yes—
188#432C2312yes—
189#432C2312yes—
190#431—21no—
191#431—21no—
192#431—21no—
193#431—21no—
194#431—24no—
195#431—22no—
196#431—22no—
197#431—22no—
198#431—24no—
199#431D412yes—
200#431D412yes—
201#431C2311yescharacteristic
202#431C2311yescharacteristic
203#431C2312yes—
204#431C2311yescharacteristic
205#431C2311yescharacteristic
206#431C2312yes—
207#431C2312yes—
208#431C2312yes—
209#431C2311yescharacteristic
210#431C2311yescharacteristic
211#431C2312yes—
212#428C2×C412yes—
213#428C2×C412yes—
214#423—22no—
215#423C2×C411yescharacteristic
216#423C2×C411yescharacteristic
217C2×C4⋊C8—21no—
218C2×C4⋊C8—24no—
219C2×C4⋊C8—22no—
220C2×C4⋊C8D412yes—
221C2×C4⋊C8C2312yes—
222C2×C4⋊C8C2312yes—
223#419C2×C412yes—
224#418C2×C412yes—
225#417C2×C412yes—
226#417C2×C412yes—
227#408—24no—
228#407C2×C412yes—
229C2×C22⋊C8—21no—
230C2×C22⋊C8—21no—
231C2×C22⋊C8—21no—
232C2×C22⋊C8—22no—
233C2×C22⋊C8—22no—
234C2×C22⋊C8D412yes—
235#405—24no—
236C4×M16C2312yes—
237C2×#97—21no—
238C2×C4×C8—21no—
239C2×C4×C8—24no—
240C2×C4×C8C2312yes—
241C2×C4×C8C2312yes—
242#335C2314yes—
243#335C2314yes—
244#334C2314yes—
245#334C2314yes—
246Q8⋊C8C2312yes—
247Q8⋊C8C2314yes—
248Q8⋊C8C2312yes—
249Q8⋊C8C2312yes—
250Q8⋊C8C2314yes—
251Q8⋊C8C2312yes—
252D4⋊C8C2312yes—
253D4⋊C8C2314yes—
254D4⋊C8C2312yes—
255D4⋊C8C2312yes—
256D4⋊C8C2314yes—
257D4⋊C8C2312yes—
258#322C2314yes—
259#322C2314yes—
260#322C2314yes—
261C82C2314yes—
262C2×#41—24no—
263C2×#41—24no—
264C2×#41—21no—
265C2×#41—21no—
266C2×#41—21no—
267C2×#41—21no—
268C2×#41C22×C412yes—
269C2×#41C22×C412yes—
270C2×#41C22×C412yes—
271C22×Q8C22×C411yescharacteristic
272C22×D4—21no—
273C22×D4C22×C411yescharacteristic
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4C22×C411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4#4111yescharacteristic
280#137—28no—
281AGL(1,ℤ/8)—28no—
282C2×Q16C22×C414yes—
283C2×SD16C22×C414yes—
284C2×SD16C22×C414yes—
285C2×D8C22×C414yes—
286C2×M16—24no—
287C2×M16C22×C412yes—
288C2×M16C22×C412yes—
289C22×C8—22no—
290C22×C8—22no—
291C22×C8—22no—
292C22×C8—24no—
293C22×C8—24no—
294C22×C8—24no—
295C22×C8C2×D414yes—
296C4⋊Q8C22×C411yescharacteristic
297C4⋊Q8C22×C411yescharacteristic
298C4⋊Q8C22×C411yescharacteristic
299#127C22×C411yescharacteristic
300#126—22no—
301#126—22no—
302#125—21no—
303#125—21no—
304#125C22×C412yes—
305#124—21no—
306#124—21no—
307#124C22×C412yes—
308#123—22no—
309#123—22no—
310#123—22no—
311C22⋊Q8—21no—
312C22⋊Q8—21no—
313C22⋊Q8—21no—
314C22⋊Q8—21no—
315C22⋊Q8C22×C412yes—
316C22⋊Q8C22×C412yes—
317#121—21no—
318#121—21no—
319#121—21no—
320#121—21no—
321#121C22×C412yes—
322#121C22×C412yes—
323#120—22no—
324C4×Q8—21no—
325C4×Q8—21no—
326C4×Q8—21no—
327C4×Q8—21no—
328C4×Q8—21no—
329C4×Q8—21no—
330C4×Q8—21no—
331C4×Q8—21no—
332C4×Q8C22×C412yes—
333C4×Q8C22×C412yes—
334C4×Q8C22×C412yes—
335C4×Q8C22×C412yes—
336C4×Q8C2412yes—
337C4×Q8C2412yes—
338C4×D4—22no—
339C4×D4—22no—
340C4×D4—22no—
341C4×D4—22no—
342C4×D4—22no—
343C4×D4—22no—
344C4×D4—22no—
345C4×D4—22no—
346C4×D4—22no—
347C4×D4—22no—
348C4×D4—22no—
349C4×D4—22no—
350C4×D4—22no—
351C4×D4—22no—
352C4×D4—21no—
353C4×D4—21no—
354C4×D4—21no—
355C4×D4—21no—
356C4×D4—21no—
357C4×D4—21no—
358C4×D4—21no—
359C4×D4—21no—
360C4×D4C22×C412yes—
361C4×D4C22×C412yes—
362C4×D4C22×C412yes—
363C4×D4C22×C412yes—
364C4×D4C2412yes—
365C4×D4C2412yes—
366#117—21no—
367#117—21no—
368#117—21no—
369#117—21no—
370#117—22no—
371#117—22no—
372#117—22no—
373#117—22no—
374#117—22no—
375#117—22no—
376#117—22no—
377#117C22×C412yes—
378#117C22×C412yes—
379#117C22×C412yes—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4C22×C411yescharacteristic
383C2×C4⋊C4C22×C411yescharacteristic
384C2×C22⋊C4—21no—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42C22×C411yescharacteristic
396C2×C42C22×C411yescharacteristic
397C2×C42C22×C411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42#4111yescharacteristic
402C2×C42#4111yescharacteristic
403C2×C42#4111yescharacteristic
404C2×C42C2411yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407#107C22×C414yes—
408#107C22×C414yes—
409#106C22×C414yes—
410#106C22×C414yes—
411C4⋊C8—24no—
412C4⋊C8—24no—
413C4⋊C8—24no—
414C4⋊C8—24no—
415C4⋊C8—22no—
416C4⋊C8—22no—
417C4⋊C8—22no—
418C4⋊C8—21no—
419C4⋊C8—21no—
420C4⋊C8C22×C412yes—
421C4⋊C8C22×C412yes—
422C4⋊C8C22×C412yes—
423C4⋊C8C22×C412yes—
424C4⋊C8C2×D412yes—
425C4⋊C8C2×D414yes—
426C4⋊C8C2×D412yes—
427C4⋊C8C2412yes—
428C4⋊C8C2412yes—
429C4⋊C8C2414yes—
430#103C22×C414yes—
431#103C22×C414yes—
432#103C22×C414yes—
433#103C22×C414yes—
434#102C22×C414yes—
435#102C22×C414yes—
436#102C22×C414yes—
437#102C22×C414yes—
438C22⋊C8—21no—
439C22⋊C8—21no—
440C22⋊C8—22no—
441C22⋊C8—22no—
442C22⋊C8—22no—
443C22⋊C8—22no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—24no—
447C22⋊C8—24no—
448C22⋊C8—24no—
449C22⋊C8—24no—
450C22⋊C8C22×C414yes—
451C22⋊C8C22×C414yes—
452C22⋊C8C2×D412yes—
453C22⋊C8C2×D412yes—
454C22⋊C8C2×D414yes—
455#97—24no—
456#97—22no—
457#97—22no—
458#97C22×C414yes—
459C4×C8—24no—
460C4×C8—24no—
461C4×C8—24no—
462C4×C8—22no—
463C4×C8—21no—
464C4×C8—21no—
465C4×C8—22no—
466C4×C8C2×D414yes—
467C4×C8C2412yes—
468C4×C8C2412yes—
469C4×C8C2414yes—
470C4×C8C2412yes—
471C4×C8C2412yes—
472C24—21no—
473C24C4×D411yescharacteristic
474#41—28no—
475#41—28no—
476#41—24no—
477#41—24no—
478#41—24no—
479#41—24no—
480#41—24no—
481#41—24no—
482#41—82no—
483#41—82no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—22no—
488C2×Q8#13114yes—
489C2×Q8C23×C412yes—
490C2×Q8C23×C412yes—
491C2×D4—28no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—22no—
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—22no—
501C2×D4#13114yes—
502C2×D4C23×C412yes—
503C2×D4C23×C412yes—
504C22×C4—28no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—42no—
520C22×C4—82no—
521C22×C4—81no—
522C22×C4—82no—
523C22×C4C4×D411yescharacteristic
524C22×C4C4×D411yescharacteristic
525C22×C4C4×D411yescharacteristic
526C22×C4C4×D411yescharacteristic
527C22×C4C4×D411yescharacteristic
528C22×C4C4×D411yescharacteristic
529C22×C4C4×D411yescharacteristic
530C22×C4C4×D411yescharacteristic
531C22×C4C4×D411yescharacteristic
532C22×C4C23×C411yescharacteristic
533C22×C4C23×C411yescharacteristic
534C22×C4C23×C411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C2×#4111yescharacteristic
539C22×C4C2×#4111yescharacteristic
540C22×C4C2×#4111yescharacteristic
541Q16—28no—
542SD16—28no—
543SD16—28no—
544D8—28no—
545M16—24no—
546M16—24no—
547M16—84no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—24no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—44no—
554C2×C8—84no—
555C2×C8—84no—
556C2×C8—84no—
557C2×C8—82no—
558C2×C8—82no—
559C2×C8—82no—
560C2×C8C23×C414yes—
561C2×C8C23×C414yes—
562C2×C8C22×D414yes—
563C2×C8C22×D414yes—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4C23×C412yes—
581C4⋊C4C23×C412yes—
582C4⋊C4C23×C412yes—
583C4⋊C4C23×C412yes—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42C4×D411yescharacteristic
609C42C4×D411yescharacteristic
610C42C4×D411yescharacteristic
611C42C4×D411yescharacteristic
612C42C4×D411yescharacteristic
613C42C4×D411yescharacteristic
614C42C23×C411yescharacteristic
615C42C23×C411yescharacteristic
616C42C23×C411yescharacteristic
617C42C22×D411yescharacteristic
618C42C22×D411yescharacteristic
619C42C22×D411yescharacteristic
620C42C2×#4111yescharacteristic
621C42C2×#4111yescharacteristic
622C42C2×#4111yescharacteristic
623C42C2511yescharacteristic
624C23—22no—
625C23—22no—
626C23—24no—
627C23—22no—
628C23—41no—
629C23—41no—
630C23—81no—
631C23—81no—
632C23C2×C4×D411yescharacteristic
633C23C2×C4×D411yescharacteristic
634C23C2×C4×D411yescharacteristic
635Q8—24no—
636Q8—22no—
637Q8—22no—
638Q8—22no—
639Q8—81no—
640Q8—81no—
641Q8C2×#13114yes—
642D4—28no—
643D4—28no—
644D4—24no—
645D4—22no—
646D4—22no—
647D4—22no—
648D4—44no—
649D4—44no—
650D4—81no—
651D4—81no—
652D4—82no—
653D4C2×#13114yes—
654C2×C4—28no—
655C2×C4—28no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—24no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—82no—
688C2×C4—82no—
689C2×C4—82no—
690C2×C4—81no—
691C2×C4—81no—
692C2×C4C2×C4×D411yescharacteristic
693C2×C4C2×C4×D411yescharacteristic
694C2×C4C2×C4×D411yescharacteristic
695C2×C4C2×C4×D411yescharacteristic
696C2×C4C2×C4×D411yescharacteristic
697C2×C4C2×C4×D411yescharacteristic
698C2×C4C2×C4×D411yescharacteristic
699C2×C4C2×C4×D411yescharacteristic
700C2×C4C2×C4×D411yescharacteristic
701C2×C4C2×#13112yes—
702C2×C4C2×#13112yes—
703C2×C4C24×C411yescharacteristic
704C2×C4C23×D411yescharacteristic
705C2×C4C22×#4111yescharacteristic
706C8—24no—
707C8—24no—
708C8—24no—
709C8—24no—
710C8—42no—
711C8—42no—
712C8—42no—
713C8—42no—
714C8—44no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—21no—
723C22—24no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—82no—
730C22—84no—
731C22#292912yes—
732C22C22×C4×D411yescharacteristic
733C4—21no—
734C4—21no—
735C4—21no—
736C4—21no—
737C4—21no—
738C4—21no—
739C4—21no—
740C4—21no—
741C4—21no—
742C4—24no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—42no—
747C4—42no—
748C4#292912yes—
749C4C22×#13111yescharacteristic
750C4C22×#13111yescharacteristic
751C4#358412yes—
752C2—22no—
753C2—41no—
754C2—41no—
755C2—44no—
756C2—82no—
757C2C2×#292911yescharacteristic
758C2#6016111yescharacteristic
759C2#6018211yescharacteristic
subgroupG/H
centerC2×C4C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C22×C4×D4
prime radical#60559C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C2×#431 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60294C2semidirect
3. #60276C2semidirect
4. #17921C2semidirect
5. #17920C2semidirect
6. #17909C2semidirect
7. #17904C2semidirect
8. #17874C2semidirect
9. #17873C2semidirect
10. #17853C2semidirect
11. #17852C2semidirect
12. #17810C2semidirect
13. #17458C2semidirect
14. C2×#1488C2semidirect
15. #17326C2semidirect
35. #2985C22semidirect
38. #2981C22semidirect
44. #2966C22semidirect
56. #1588C22semidirect
57. #1587C22semidirect
58. #1586C22semidirect
59. #1585C22semidirect
60. #1584C22semidirect
61. #1583C22semidirect
62. #1582C22semidirect
63. #1581C22semidirect
64. #1580C22semidirect
65. #1579C22semidirect
66. SD16⋊C8C22semidirect
67. SD16⋊C8C22semidirect
68. C8×Q16C22semidirect
69. C8×SD16C22semidirect
70. C8×SD16C22semidirect
71. C8×D8C22semidirect
72. #1573C22semidirect
73. #1572C22semidirect
79. #1482C22semidirect
80. #1482C22semidirect
81. #1481C22semidirect
82. #1480C22semidirect
87. #1454C22semidirect
88. #1452C22semidirect
90. #1450C22semidirect

Maximal subgroups

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

subgroupindex
#605592
#602942
#602762
#179212
#179202
#179092
#179042
#178742
#178732
#178532
#178522
#178102
#174582
C2×#14882
#173262