Finite Group Databasebeta

← #10575331

Subgroups — #10575331

Order 512.

6822 conjugacy classes of subgroups.

The subgroup lattice has 713 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62814C212yesmaximal, complemented
2#60708C218yesmaximal, complemented
3#60707C218yesmaximal, complemented
4#60706C2116yesmaximal, complemented
5#60688C214yesmaximal, complemented
6#60685C214yesmaximal, complemented
7#60682C214yesmaximal, complemented
8#60673C214yesmaximal, complemented
9#60660C211yesmaximal, characteristic, complemented
10#60643C211yesmaximal, characteristic, complemented
11#60612C212yesmaximal, complemented
12#60444C212yesmaximal, complemented
13C2×#3050C212yesmaximal, complemented
14#60167C212yesmaximal, complemented
15#60161C212yesmaximal, complemented
16C22×#405C211yesmaximal, characteristic, complemented
17C2×#575C2212yes—
18C22×#135C2212yes—
19C23×M16C2211yescharacteristic
20C24×C8C2211yescharacteristic
21#3495C22116yescomplemented
22#3494C22116yescomplemented
23#3493—24no—
24#3492—24no—
25#3491—24no—
26#3490—24no—
27#3475—216no—
28#3458C2212yes—
29#3455C2218yescomplemented
30#3449C2212yes—
31#3444C2218yescomplemented
32C2×#525C2214yes—
33#3428C2214yes—
34C22×#117C2211yescharacteristic
35#3181C22132yescomplemented
36#3180C22132yescomplemented
37#3179C22132yescomplemented
38#3178C22132yescomplemented
39#3177C2218yescomplemented
40#3176C2218yescomplemented
41#3175C22116yescomplemented
42#3174C22116yescomplemented
43#3173C22116yescomplemented
44#3170C2218yescomplemented
45#3169C2218yescomplemented
46#3168C22116yescomplemented
47#3168C22116yescomplemented
48#3167C22116yescomplemented
49#3164C2218yescomplemented
50#3163C2218yescomplemented
51#3162C2214yescomplemented
52#3160C2214yescomplemented
53#3156C2214yescomplemented
54#3155C2214yescomplemented
55#3154C2218yescomplemented
56#3150C2214yescomplemented
57#3147C2214yescomplemented
58#3137C22116yescomplemented
59#3136C22116yescomplemented
60#3135C2218yescomplemented
61#3131C2218yescomplemented
62#3056C22116yescomplemented
63#3055C22116yescomplemented
64#3054C2218yescomplemented
65#3050C2218yes—
66#3050C2218yes—
67#3050C2214yescomplemented
68#3050C2218yescomplemented
69#3050C2214yescomplemented
70#3050C2214yescomplemented
71#3050C2214yescomplemented
72C2×#467C2214yescomplemented
73C2×#466C2214yescomplemented
74C2×#465C2218yescomplemented
75#2952C2218yescomplemented
76#2951C2218yescomplemented
77#2950C2214yescomplemented
78#2949C2218yescomplemented
79#2948C2214yescomplemented
80#2947C22116yescomplemented
81#2946C22116yescomplemented
82#2943C2218yescomplemented
83#2943C2218yescomplemented
84C4×#135C2218yescomplemented
85C4×#135C2218yescomplemented
86#2911C2212yes—
87C2×#427C2212yes—
88#2896C2214yes—
89C2×#416C2214yes—
90C2×#405C2211yescharacteristic
91C2×#405C2211yescharacteristic
92C2×#405C2211yescharacteristic
93C2×#405C2211yescharacteristic
94C2×#405C2212yescomplemented
95C2×#405C2212yescomplemented
96C2×#405C2218yescomplemented
97C2×#405C2218yescomplemented
98C22×#97C2212yescomplemented
99C22×C4×C8C2212yescomplemented
100C22×#41C2314yes—
101C24×C4C2311yescharacteristic
102#575—216no—
103C2×#137C2318yes—
104C2×AGL(1,ℤ/8)C2318yes—
105C2×#135—216no—
106C2×#135C2314yes—
107C2×#135C2318yes—
108C2×#135C2314yes—
109C2×#135C2314yes—
110C2×#135C2314yes—
111C22×Q16C2312yes—
112C22×SD16C2314yes—
113C22×D8C2312yes—
114C22×M16—28no—
115C22×M16C2311yescharacteristic
116C22×M16C2312yes—
117C22×M16C2318yes—
118C22×M16C2311yescharacteristic
119C23×C8—28no—
120C23×C8C2311yescharacteristic
121C23×C8C2312yes—
122C23×C8C2311yescharacteristic
123C23×C8C2311yescharacteristic
124C23×C8C2314yes—
125C23×C8C2314yes—
126C23×C8C2311yescharacteristic
127C23×C8C2311yescharacteristic
128C23×C8C2311yescharacteristic
129#556—216no—
130#555—216no—
131#554—216no—
132#553—216no—
133#553—216no—
134#552—232no—
135#552—216no—
136#552—216no—
137#551—232no—
138#551—232no—
139#547—216no—
140#546—232no—
141#544—24no—
142#544C23116yes—
143#543—24no—
144#542C23132yes—
145#541C23116yes—
146#540C23116yes—
147#539—216no—
148#538—216no—
149#537—24no—
150#536C2318yes—
151#535C2318yes—
152#534—24no—
153#533—28no—
154#533C23116yes—
155#533C2318yes—
156#532C2318yes—
157#532C23116yes—
158#529—232no—
159#529—216no—
160#529—216no—
161#529C23132yes—
162#525—28no—
163#525—24no—
164#525—24no—
165#525—216no—
166#525—28no—
167#525C2318yes—
168#525C2318yes—
169#525C23116yes—
170C2×#123—24no—
171C2×C22⋊Q8C2318yes—
172C2×#121C2318yes—
173C2×#120—24no—
174#520—28no—
175#520C23116yes—
176#519C2318yes—
177#518—28no—
178#518C2318yes—
179C4×#41—28no—
180C4×#41—216no—
181C4×#41C23116yes—
182C2×C4×D4—28no—
183C2×#117—28no—
184C2×#117D418yes—
185C2×#117D412yes—
186C2×#117D412yes—
187C2×#117C2314yes—
188C2×#117C2311yescharacteristic
189C2×#117C2311yescharacteristic
190C2×#117C2312yes—
191C2×#117C2318yes—
192C22×C4⋊C4D412yes—
193C22×C22⋊C4D412yes—
194C22×C42C2312yes—
195#501C23132yescomplemented
196#500C2318yescomplemented
197#499C2318yescomplemented
198#499C2318yescomplemented
199#498C2318yescomplemented
200#497C23116yescomplemented
201#496C23116yescomplemented
202#495C2318yescomplemented
203#495C2318yescomplemented
204#494C2314yescomplemented
205#493C2314yescomplemented
206#492C2318yescomplemented
207#491C23116yescomplemented
208#490C23116yescomplemented
209#489C23132yescomplemented
210#488C23132yescomplemented
211#487C23116yescomplemented
212#486C23116yescomplemented
213#470C23116yes—
214#469C23116yes—
215#468C23132yes—
216#467C2318yes—
217#467C23116yes—
218#467C2318yes—
219#467C2318yes—
220#467C2318yes—
221#466C2318yes—
222#466C23116yes—
223#466C2318yes—
224#466C2318yes—
225#466C2318yes—
226#465C23116yes—
227#465C23132yes—
228#465C23116yes—
229#465C23116yes—
230#465C23116yes—
231#442C23116yescomplemented
232#442C23116yescomplemented
233#441C23116yescomplemented
234#441C23116yescomplemented
235#440C23132yescomplemented
236#440C23132yescomplemented
237C4×Q16C23116yescomplemented
238C4×Q16C23116yescomplemented
239C4×SD16C23132yescomplemented
240C4×SD16C23132yescomplemented
241C4×D8C23116yescomplemented
242C4×D8C23116yescomplemented
243#428C23116yes—
244#427C2314yes—
245#427C2318yes—
246#427C2314yes—
247#427C2314yes—
248#427C2314yes—
249C2×#107C2314yes—
250C2×#106C2314yes—
251#419C2318yes—
252#418C2318yes—
253#417C23116yes—
254#416C2318yes—
255#416C23116yes—
256#416C2318yes—
257#416C23116yes—
258C2×#103C2318yes—
259C2×#102C2318yes—
260#405C2318yes—
261#405C2314yes—
262#405C2314yes—
263#405C2318yes—
264#405C2314yes—
265#405C2314yes—
266#405C2318yes—
267#405C2318yes—
268#405C23116yes—
269C2×#97C2312yes—
270C2×#97C2312yes—
271C2×#97C2312yes—
272C2×#97C2312yes—
273C2×#97C23116yes—
274C2×C4×C8C2312yes—
275C2×C4×C8C2312yes—
276C2×C4×C8C2312yes—
277C2×C4×C8C2312yes—
278C2×C4×C8C2318yes—
279C2×C4×C8C2318yes—
280C25C2×D411yescharacteristic
281C2×#41—24no—
282C2×#41—24no—
283C2×#41—216no—
284C2×#41—216no—
285C2×#41—216no—
286C2×#41C2418yes—
287C2×#41C2418yes—
288C22×Q8C2414yes—
289C22×D4—24no—
290C22×D4—28no—
291C22×D4C2414yes—
292C23×C4—24no—
293C23×C4—24no—
294C23×C4—24no—
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D414yes—
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D411yescharacteristic
299C23×C4C2×D414yes—
300C23×C4C2414yes—
301C23×C4C2411yescharacteristic
302C23×C4C2411yescharacteristic
303C23×C4C2411yescharacteristic
304#137—232no—
305AGL(1,ℤ/8)—232no—
306#135—216no—
307#135—216no—
308#135—216no—
309#135—216no—
310#135—232no—
311C2×Q16—28no—
312C2×Q16C2414yes—
313C2×Q16C2414yes—
314C2×Q16C2418yes—
315C2×SD16—216no—
316C2×SD16C2418yes—
317C2×SD16C2418yes—
318C2×SD16C24116yes—
319C2×D8—28no—
320C2×D8C2414yes—
321C2×D8C2414yes—
322C2×D8C2418yes—
323C2×M16—24no—
324C2×M16—232no—
325C2×M16—28no—
326C2×M16#4118yescomplemented
327C2×M16C2414yes—
328C2×M16C2418yes—
329C2×M16C2414yes—
330C22×C8—24no—
331C22×C8—216no—
332C22×C8—216no—
333C22×C8—24no—
334C22×C8—24no—
335C22×C8—24no—
336C22×C8—24no—
337C22×C8—28no—
338C22×C8#4118yescomplemented
339C22×C8C2411yescharacteristic
340C22×C8C2412yes—
341C22×C8C2412yes—
342C22×C8C2411yescharacteristic
343C22×C8C2414yes—
344C22×C8C2414yes—
345C22×C8C2412yes—
346C22×C8C2414yes—
347C22×C8C2412yes—
348C22×C8C2412yes—
349C22×C8C2418yes—
350C22×C8C2412yes—
351C22×C8C2412yes—
352C22×C8C2411yescharacteristic
353C22×C8C2411yescharacteristic
354C22×C8C2412yes—
355C4⋊Q8—216no—
356C4⋊Q8C2418yes—
357C4⋊Q8C24116yes—
358#127C2418yes—
359#126—232no—
360#126—232no—
361#126—232no—
362#125—232no—
363#125—216no—
364#125—216no—
365#125C24116yes—
366#124—232no—
367#124—216no—
368#124C24116yes—
369#123—28no—
370#123—28no—
371#123—216no—
372#123—232no—
373#123—232no—
374#123—216no—
375#123—232no—
376C22⋊Q8—28no—
377C22⋊Q8—28no—
378C22⋊Q8—216no—
379C22⋊Q8—216no—
380C22⋊Q8—216no—
381C22⋊Q8—232no—
382C22⋊Q8—232no—
383C22⋊Q8C24116yes—
384C22⋊Q8C24116yes—
385#121—28no—
386#121—28no—
387#121—216no—
388#121—216no—
389#121—216no—
390#121—232no—
391#121C24116yes—
392#121C24116yes—
393#120—28no—
394#120—28no—
395#120—216no—
396#120—216no—
397C4×Q8—216no—
398C4×Q8—216no—
399C4×Q8—216no—
400C4×Q8C24132yes—
401C4×D4—216no—
402C4×D4—216no—
403C4×D4—216no—
404C4×D4—216no—
405C4×D4—232no—
406C4×D4—232no—
407C4×D4—216no—
408C4×D4—232no—
409C4×D4—216no—
410C4×D4—216no—
411C4×D4C24132yes—
412#117—24no—
413#117—24no—
414#117—216no—
415#117—216no—
416#117—216no—
417#117—216no—
418#117—232no—
419#117C2×D414yes—
420#117C2×D414yes—
421#117C2×D418yes—
422#117C2×D4116yes—
423#117C2×D418yes—
424#117C2×D418yes—
425#117C2418yes—
426#117C2418yes—
427#117C2414yes—
428#117C2414yes—
429#117C2418yes—
430C2×C4⋊C4—28no—
431C2×C4⋊C4—216no—
432C2×C4⋊C4C2×D412yes—
433C2×C4⋊C4C2×D412yes—
434C2×C4⋊C4C2×D414yes—
435C2×C4⋊C4C2×D418yes—
436C2×C4⋊C4C2×D418yes—
437C2×C4⋊C4C2418yes—
438C2×C22⋊C4—24no—
439C2×C22⋊C4—28no—
440C2×C22⋊C4—28no—
441C2×C22⋊C4—216no—
442C2×C22⋊C4C2×D412yes—
443C2×C22⋊C4C2×D412yes—
444C2×C22⋊C4C2×D414yes—
445C2×C22⋊C4C2×D4116yes—
446C2×C42—24no—
447C2×C42—216no—
448C2×C42C2×D418yes—
449C2×C42C2×D414yes—
450C2×C42C2412yes—
451C2×C42C2418yes—
452C2×C42C2412yes—
453#107C2418yes—
454#107C2418yes—
455#107C24116yes—
456#106C2418yes—
457#106C2418yes—
458#106C24116yes—
459#103C24116yes—
460#103C24116yes—
461#103C24132yes—
462#102C24116yes—
463#102C24116yes—
464#102C24132yes—
465#97C2418yes—
466#97C2418yes—
467#97C2418yes—
468#97C2418yes—
469C4×C8C2414yes—
470C4×C8C2418yes—
471C4×C8C2414yes—
472C4×C8C2418yes—
473C4×C8C2414yes—
474C4×C8C2414yes—
475C24—24no—
476C24—24no—
477C24—44no—
478C24C22×D411yescharacteristic
479C24C22×D414yes—
480C24C22×D411yescharacteristic
481C24C22×D411yescharacteristic
482#41—216no—
483#41—216no—
484#41—216no—
485#41—216no—
486#41—416no—
487#41—416no—
488#41—832no—
489C2×Q8—24no—
490C2×Q8—216no—
491C2×Q8—28no—
492C2×Q8—28no—
493C2×Q8C2518yes—
494C2×D4—28no—
495C2×D4—28no—
496C2×D4—216no—
497C2×D4—216no—
498C2×D4—24no—
499C2×D4—216no—
500C2×D4—28no—
501C2×D4—28no—
502C2×D4—416no—
503C2×D4—816no—
504C2×D4C2518yes—
505C22×C4—24no—
506C22×C4—216no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—28no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—28no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—28no—
517C22×C4—28no—
518C22×C4—28no—
519C22×C4—232no—
520C22×C4—48no—
521C22×C4—416no—
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D418yes—
524C22×C4C22×D414yes—
525C22×C4C22×D414yes—
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D414yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D414yes—
531C22×C4C22×D418yes—
532C22×C4C22×D414yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D412yes—
535C22×C4C2×#4114yes—
536C22×C4C2×#4114yes—
537C22×C4C2512yes—
538C22×C4C2512yes—
539C22×C4C2512yes—
540C22×C4C2511yescharacteristic
541Q16—28no—
542Q16—28no—
543Q16—216no—
544SD16—216no—
545SD16—216no—
546SD16—232no—
547D8—28no—
548D8—28no—
549D8—216no—
550M16—28no—
551M16—216no—
552M16C2×#41116yes—
553C2×C8—28no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—24no—
557C2×C8—24no—
558C2×C8—24no—
559C2×C8—28no—
560C2×C8—28no—
561C2×C8—24no—
562C2×C8—24no—
563C2×C8—216no—
564C2×C8C2×#4118yes—
565C2×C8C2×#4118yes—
566C2×C8C2×#4114yes—
567C2×C8C2×#4114yes—
568C2×C8C2×#4118yes—
569C2×C8C2512yes—
570C2×C8C2514yes—
571C2×C8C2512yes—
572C2×C8C2511yescharacteristic
573C2×C8C2511yescharacteristic
574C2×C8C2514yes—
575C2×C8C2512yes—
576C4⋊C4—28no—
577C4⋊C4—216no—
578C4⋊C4—232no—
579C4⋊C4—216no—
580C4⋊C4—216no—
581C4⋊C4—216no—
582C4⋊C4—232no—
583C4⋊C4C22×D418yes—
584C4⋊C4C22×D418yes—
585C4⋊C4C22×D4116yes—
586C4⋊C4C25116yes—
587C22⋊C4—28no—
588C22⋊C4—216no—
589C22⋊C4—28no—
590C22⋊C4—216no—
591C22⋊C4—216no—
592C22⋊C4—232no—
593C22⋊C4—216no—
594C22⋊C4—232no—
595C22⋊C4C22×D418yes—
596C22⋊C4C22×D418yes—
597C22⋊C4C22×D4116yes—
598C42—232no—
599C42—28no—
600C42—28no—
601C42C22×D418yes—
602C42C22×D418yes—
603C42C22×D414yes—
604C42C22×D414yes—
605C42C2514yes—
606C42C2514yes—
607C23—24no—
608C23—22no—
609C23—28no—
610C23—28no—
611C23—22no—
612C23—28no—
613C23—42no—
614C23—44no—
615C23—42no—
616C23—416no—
617C23—48no—
618C23—88no—
619C23#53214yes—
620C23C23×D412yes—
621C23C23×D412yes—
622C23C23×D411yescharacteristic
623C23C23×D412yes—
624Q8—28no—
625Q8—28no—
626Q8—48no—
627Q8—816no—
628D4—28no—
629D4—28no—
630D4—432no—
631D4—416no—
632D4—416no—
633D4—48no—
634D4—816no—
635D4—816no—
636C2×C4—216no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—28no—
647C2×C4—28no—
648C2×C4—28no—
649C2×C4—216no—
650C2×C4—44no—
651C2×C4—48no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—416no—
655C2×C4—416no—
656C2×C4—832no—
657C2×C4—88no—
658C2×C4#53218yes—
659C2×C4#53214yes—
660C2×C4C23×D418yes—
661C2×C4C23×D412yes—
662C2×C4C23×D418yes—
663C2×C4C23×D412yes—
664C2×C4C23×D412yes—
665C2×C4C23×D411yescharacteristic
666C2×C4C22×#4114yes—
667C2×C4C22×#4112yes—
668C2×C4C22×#4112yes—
669C2×C4C22×#4114yes—
670C2×C4C2611yescharacteristic
671C8—22no—
672C8—22no—
673C8—24no—
674C8C22×#4112yes—
675C8C22×#4114yes—
676C8C22×#4112yes—
677C8C22×#4118yes—
678C22—28no—
679C22—22no—
680C22—22no—
681C22—24no—
682C22—22no—
683C22—24no—
684C22—22no—
685C22—44no—
686C22—416no—
687C22—44no—
688C22—416no—
689C22—48no—
690C22—168no—
691C22C2×#53214yes—
692C22C2×#53212yes—
693C22#358414yes—
694C22C24×D411yescharacteristic
695C4—28no—
696C4—28no—
697C4—22no—
698C4—22no—
699C4—416no—
700C4—48no—
701C4C2×#53212yes—
702C4C2×#53214yes—
703C4C23×#4111yescharacteristic
704C4C23×#4111yescharacteristic
705C2—24no—
706C2—22no—
707C2—24no—
708C2—42no—
709C2—88no—
710C2C22×#53211yescharacteristic
711C2C2×#358412yes—
subgroupG/H
centerC2×C4C23×D4
commutator, Frattini, cosocleC2×C4C26
socleC22C24×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C22×#117 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62814C2semidirect
2. #60708C2semidirect
3. #60707C2semidirect
4. #60706C2semidirect
5. #60688C2semidirect
6. #60685C2semidirect
7. #60682C2semidirect
8. #60673C2semidirect
9. #60660C2semidirect
10. #60643C2semidirect
11. #60612C2semidirect
12. #60444C2semidirect
13. C2×#3050C2semidirect
14. #60167C2semidirect
15. #60161C2semidirect
16. C22×#405C2semidirect
21. #3495C22semidirect
22. #3494C22semidirect
29. #3455C22semidirect
31. #3444C22semidirect
35. #3181C22semidirect
36. #3180C22semidirect
37. #3179C22semidirect
38. #3178C22semidirect
39. #3177C22semidirect
40. #3176C22semidirect
41. #3175C22semidirect
42. #3174C22semidirect
43. #3173C22semidirect
44. #3170C22semidirect
45. #3169C22semidirect
46. #3168C22semidirect
47. #3168C22semidirect
48. #3167C22semidirect
49. #3164C22semidirect
50. #3163C22semidirect
51. #3162C22semidirect
52. #3160C22semidirect
53. #3156C22semidirect
54. #3155C22semidirect
55. #3154C22semidirect
56. #3150C22semidirect
57. #3147C22semidirect
58. #3137C22semidirect
59. #3136C22semidirect
60. #3135C22semidirect
61. #3131C22semidirect
62. #3056C22semidirect
63. #3055C22semidirect
64. #3054C22semidirect
67. #3050C22semidirect
68. #3050C22semidirect
69. #3050C22semidirect
70. #3050C22semidirect
71. #3050C22semidirect
72. C2×#467C22semidirect
73. C2×#466C22semidirect
74. C2×#465C22semidirect
75. #2952C22semidirect
76. #2951C22semidirect
77. #2950C22semidirect
78. #2949C22semidirect
79. #2948C22semidirect
80. #2947C22semidirect
81. #2946C22semidirect
82. #2943C22semidirect
83. #2943C22semidirect
84. C4×#135C22semidirect
85. C4×#135C22semidirect
94. C2×#405C22semidirect
95. C2×#405C22semidirect
96. C2×#405C22semidirect
97. C2×#405C22semidirect
98. C22×#97C22semidirect
99. C22×C4×C8C22semidirect
195. #501C23semidirect
196. #500C23semidirect
197. #499C23semidirect
198. #499C23semidirect
199. #498C23semidirect
200. #497C23semidirect
201. #496C23semidirect
202. #495C23semidirect
203. #495C23semidirect
204. #494C23semidirect
205. #493C23semidirect
206. #492C23semidirect
207. #491C23semidirect
208. #490C23semidirect
209. #489C23semidirect
210. #488C23semidirect
211. #487C23semidirect
212. #486C23semidirect
231. #442C23semidirect
232. #442C23semidirect
233. #441C23semidirect
234. #441C23semidirect
235. #440C23semidirect
236. #440C23semidirect
237. C4×Q16C23semidirect
238. C4×Q16C23semidirect
239. C4×SD16C23semidirect
240. C4×SD16C23semidirect
241. C4×D8C23semidirect
242. C4×D8C23semidirect
326. C2×M16#41semidirect
338. C22×C8#41semidirect

Maximal subgroups

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

subgroupindex
#628142
#607082
#607072
#607062
#606882
#606852
#606822
#606732
#606602
#606432
#606122
#604442
C2×#30502
#601672
#601612
C22×#4052