Finite Group Databasebeta

← #6353927

Subgroups — #6353927

Order 512.

1938 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60673C211yesmaximal, characteristic, complemented
2#60558C212yesmaximal, complemented
3C22×#436C211yesmaximal, characteristic, complemented
4#19284C212yesmaximal, complemented
5#19283C212yesmaximal, complemented
6#19282C214yesmaximal, complemented
7#19281C212yesmaximal, complemented
8#19280C212yesmaximal, complemented
9#19279C214yesmaximal, complemented
10#19142C214yesmaximal, complemented
11#19137C212yesmaximal, complemented
12#19133C212yesmaximal, complemented
13#17793C211yesmaximal, characteristic, complemented
14#17719C212yesmaximal, complemented
15C23×M16—21no—
16#3444C2212yes—
17C22×C4×D4C2211yescharacteristic
18#3170C2211yescharacteristic, complemented
19#3170C2211yescharacteristic, complemented
20#3169C2211yescharacteristic, complemented
21#3169C2211yescharacteristic, complemented
22#3168—21no—
23#3168—21no—
24#3168—21no—
25#3168—21no—
26#3167C2212yescomplemented
27#3167C2212yescomplemented
28#3160C2211yescharacteristic, complemented
29#3147C2211yescharacteristic, complemented
30#3131C2212yescomplemented
31#3114—24no—
32#3110C2214yes—
33#3109C2214yes—
34#3105—24no—
35#3101C2214yes—
36#3100C2214yes—
37#3092—22no—
38#3077C2214yes—
39#3050—21no—
40#3050—21no—
41#3036C2214yes—
42#3003—22no—
43C4×AGL(1,ℤ/8)—24no—
44C4×#135—21no—
45C4×#135—21no—
46C2×#436—21no—
47C2×#436—21no—
48C2×#436—21no—
49C2×#436—21no—
50C2×#436—21no—
51C2×#436—21no—
52C2×#436C2212yes—
53C2×#436C2212yes—
54C2×#436C2212yes—
55C2×#436C2212yes—
56C2×#436C2212yes—
57C2×#436C2212yes—
58#2920C2212yes—
59C22×C4⋊C8C2211yescharacteristic
60C22×C22⋊C8—21no—
61C22×C4×C8C2211yescharacteristic
62#1703C2218yescomplemented
63#1701C2218yescomplemented
64#1699C2218yescomplemented
65#1697C2218yescomplemented
66#1695C2214yescomplemented
67#1693C2214yescomplemented
68#1691C2218yescomplemented
69#1689C2214yescomplemented
70#1687C2214yescomplemented
71#1685C2218yescomplemented
72#1568C2212yescomplemented
73#1568C2212yescomplemented
74#1567C2212yescomplemented
75#1566C2212yescomplemented
76#1564C2212yescomplemented
77#1564C2212yescomplemented
78#1552C2214yescomplemented
79#1551C2214yescomplemented
80#1550C2214yescomplemented
81#1547C2214yescomplemented
82#1542C2214yescomplemented
83#1540C2214yescomplemented
84C23×D4D411yescharacteristic
85C24×C4—21no—
86C2×AGL(1,ℤ/8)—24no—
87C2×#135—21no—
88C2×#135—21no—
89C22×M16—22no—
90C22×M16—22no—
91C22×M16—22no—
92C22×M16—22no—
93C22×M16—22no—
94C22×M16—22no—
95C22×M16—48no—
96C23×C8—21no—
97C23×C8D411yescharacteristic
98C23×C8D411yescharacteristic
99#533C2312yes—
100#533C2312yes—
101#533C2312yes—
102#532C2312yes—
103#532C2312yes—
104#532C2312yes—
105#529—22no—
106#529—22no—
107#529—22no—
108#529—22no—
109#529—22no—
110#529—22no—
111#525—22no—
112#525—22no—
113#525—22no—
114C4×#41—22no—
115C4×#41—22no—
116C4×#41—22no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—21no—
123C2×C4×D4D412yes—
124C2×C4×D4D412yes—
125C2×C4×D4D412yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2312yes—
128C2×C4×D4C2312yes—
129C22×C4⋊C4D411yescharacteristic
130C22×C22⋊C4—21no—
131C22×C42C2311yescharacteristic
132#500C2311yescharacteristic, complemented
133#500C2311yescharacteristic, complemented
134#499—21no—
135#499—21no—
136#498C2312yescomplemented
137#495—21no—
138#495—21no—
139#494C2311yescharacteristic, complemented
140#493C2311yescharacteristic, complemented
141#492C2312yescomplemented
142#488—22no—
143#488—22no—
144#487C2312yescomplemented
145#487C2312yescomplemented
146#486C2312yescomplemented
147#486C2312yescomplemented
148#484—24no—
149#483—24no—
150#481—24no—
151#480—24no—
152#478—28no—
153#476C2318yes—
154#474C2318yes—
155#467—21no—
156#467—21no—
157#467—21no—
158#467—21no—
159#466—21no—
160#466—21no—
161#466—21no—
162#466—21no—
163#465—22no—
164#465—22no—
165#465—22no—
166#465—22no—
167#463—28no—
168#461C2318yes—
169#459C2318yes—
170#450—24no—
171#450—24no—
172#447—24no—
173#447—24no—
174#442—28no—
175#440—28no—
176C4×Q16—21no—
177C4×Q16—21no—
178C4×Q16—21no—
179C4×Q16—21no—
180C4×SD16—28no—
181C4×SD16—22no—
182C4×SD16—22no—
183C4×SD16—22no—
184C4×SD16—22no—
185C4×D8—28no—
186C4×D8—21no—
187C4×D8—21no—
188C4×D8—21no—
189C4×D8—21no—
190#436—22no—
191#436—22no—
192#436—22no—
193#436—22no—
194#436—22no—
195#436—22no—
196#436—22no—
197#436—22no—
198#436—22no—
199#436—22no—
200#436—22no—
201#436—22no—
202#436C2314yes—
203#436C2314yes—
204#436C2314yes—
205#436C2314yes—
206#432—22no—
207#432C2314yes—
208#431—22no—
209#431C2314yes—
210#428—24no—
211#427—21no—
212#427—21no—
213#423C2314yes—
214C2×C4⋊C8—21no—
215C2×C4⋊C8—21no—
216C2×C4⋊C8—21no—
217C2×C4⋊C8C2312yes—
218C2×C4⋊C8C2312yes—
219C2×C4⋊C8C2312yes—
220#418—24no—
221#417—24no—
222#416—22no—
223#416—22no—
224#407—22no—
225C2×C22⋊C8—22no—
226C2×C22⋊C8—22no—
227C2×C22⋊C8—22no—
228C2×C22⋊C8—22no—
229C2×C22⋊C8—22no—
230C2×C22⋊C8—22no—
231C4×M16—22no—
232C2×C4×C8D411yescharacteristic
233C2×C4×C8D411yescharacteristic
234C2×C4×C8D411yescharacteristic
235C2×C4×C8D411yescharacteristic
236C2×C4×C8D411yescharacteristic
237C2×C4×C8D411yescharacteristic
238C2×C4×C8C2311yescharacteristic
239C2×C4×C8C2311yescharacteristic
240C2×C4×C8C2311yescharacteristic
241C2×C4×C8C2311yescharacteristic
242C2×C4×C8C2311yescharacteristic
243C2×C4×C8C2311yescharacteristic
244#335C2314yescomplemented
245#335C2314yescomplemented
246#334C2314yescomplemented
247#334C2314yescomplemented
248#333C2318yescomplemented
249#332C2318yescomplemented
250#332C2318yescomplemented
251#331C2318yescomplemented
252C25—21no—
253C2×#41—22no—
254C2×#41—22no—
255C2×#41—22no—
256C22×D4—21no—
257C22×D4—21no—
258C22×D4—21no—
259C22×D4—44no—
260C22×D4C2×D412yes—
261C22×D4C2×D412yes—
262C22×D4C2×D412yes—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—44no—
271C23×C4—44no—
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4#4111yescharacteristic
275AGL(1,ℤ/8)—416no—
276#135—44no—
277#135—44no—
278C2×Q16—21no—
279C2×Q16—21no—
280C2×SD16—28no—
281C2×SD16—22no—
282C2×SD16—22no—
283C2×D8—28no—
284C2×D8—21no—
285C2×D8—21no—
286C2×M16—24no—
287C2×M16—24no—
288C2×M16—24no—
289C2×M16—24no—
290C2×M16—24no—
291C2×M16—48no—
292C2×M16—48no—
293C2×M16—48no—
294C2×M16—48no—
295C2×M16—48no—
296C2×M16—48no—
297C22×C8—24no—
298C22×C8—22no—
299C22×C8—22no—
300C22×C8—22no—
301C22×C8—42no—
302C22×C8—44no—
303C22×C8C2×D411yescharacteristic
304C22×C8C2×D411yescharacteristic
305C22×C8C2×D411yescharacteristic
306C22×C8C2×D411yescharacteristic
307C22×C8C2×D411yescharacteristic
308C22×C8C2×D411yescharacteristic
309C22×C8C2×D411yescharacteristic
310C22×C8C2×D411yescharacteristic
311C22×C8C2×D411yescharacteristic
312C22×C8C2×D411yescharacteristic
313C22×C8C2×D411yescharacteristic
314C22×C8C2×D411yescharacteristic
315C4⋊Q8C2412yes—
316C4⋊Q8C2412yes—
317C4⋊Q8C2412yes—
318#127C2412yes—
319#126—42no—
320#126—42no—
321#125—22no—
322#125—22no—
323#125—22no—
324#124—22no—
325#124—22no—
326#124—22no—
327#123—42no—
328#123—42no—
329#123—42no—
330C22⋊Q8—22no—
331C22⋊Q8—22no—
332C22⋊Q8—22no—
333C22⋊Q8—22no—
334C22⋊Q8—22no—
335C22⋊Q8—22no—
336#121—22no—
337#121—22no—
338#121—22no—
339#121—22no—
340#121—22no—
341#121—22no—
342#120—42no—
343C4×Q8—22no—
344C4×Q8—22no—
345C4×Q8—22no—
346C4×Q8—22no—
347C4×Q8—22no—
348C4×Q8—22no—
349C4×D4—22no—
350C4×D4—22no—
351C4×D4—22no—
352C4×D4—22no—
353C4×D4—22no—
354C4×D4—22no—
355C4×D4—22no—
356C4×D4—22no—
357C4×D4—22no—
358C4×D4—22no—
359C4×D4—22no—
360C4×D4—22no—
361C4×D4—22no—
362C4×D4—22no—
363C4×D4—22no—
364C4×D4—22no—
365C4×D4—22no—
366C4×D4—22no—
367C4×D4—42no—
368C4×D4—42no—
369C4×D4—42no—
370C4×D4—42no—
371C4×D4—42no—
372C4×D4—42no—
373C4×D4C2×D414yes—
374C4×D4C2×D414yes—
375C4×D4C2×D414yes—
376C4×D4C2414yes—
377#117—22no—
378#117—22no—
379#117—22no—
380#117—42no—
381#117—42no—
382#117—42no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4C2×D412yes—
387C2×C4⋊C4C2×D412yes—
388C2×C4⋊C4C2×D412yes—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C42—42no—
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42#4111yescharacteristic
403C2×C42#4111yescharacteristic
404C2×C42#4111yescharacteristic
405C2×C42C2411yescharacteristic
406C2×C42C2411yescharacteristic
407C2×C42C2411yescharacteristic
408#107—21no—
409#107—21no—
410#107—21no—
411#107—21no—
412#107—28no—
413#106—22no—
414#106—22no—
415#106—28no—
416C4⋊C8—22no—
417C4⋊C8—22no—
418C4⋊C8—22no—
419C4⋊C8—24no—
420C4⋊C8C2414yes—
421C4⋊C8C2418yes—
422#103—22no—
423#103—22no—
424#103—22no—
425#103—22no—
426#103—28no—
427#102—28no—
428#102—28no—
429#102—22no—
430#102—22no—
431#102—22no—
432#102—22no—
433#102—28no—
434C22⋊C8—24no—
435C22⋊C8—24no—
436C22⋊C8—24no—
437C22⋊C8—24no—
438C22⋊C8—24no—
439C22⋊C8—24no—
440#97—24no—
441C4×C8—24no—
442C4×C8C2×D411yescharacteristic
443C4×C8C2×D411yescharacteristic
444C4×C8C2×D411yescharacteristic
445C4×C8C2×D411yescharacteristic
446C4×C8C2×D411yescharacteristic
447C4×C8C2×D411yescharacteristic
448C4×C8C2×D411yescharacteristic
449C4×C8C2×D411yescharacteristic
450C4×C8C2×D411yescharacteristic
451C4×C8C2×D411yescharacteristic
452C4×C8C2×D411yescharacteristic
453C4×C8C2×D411yescharacteristic
454C4×C8C2411yescharacteristic
455C4×C8C2411yescharacteristic
456C4×C8C2411yescharacteristic
457C4×C8C2411yescharacteristic
458C24—22no—
459C24—22no—
460C24—22no—
461C24—44no—
462C24—44no—
463C24—44no—
464C24#12111yescharacteristic
465#41—44no—
466#41—44no—
467#41—48no—
468#41—84no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×D4—22no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—28no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—44no—
480C2×D4—44no—
481C2×D4—44no—
482C2×D4—44no—
483C2×D4—44no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4C22×D414yes—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—42no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4#12111yescharacteristic
513C22×C4#12111yescharacteristic
514C22×C4#12111yescharacteristic
515C22×C4#12111yescharacteristic
516C22×C4#12111yescharacteristic
517C22×C4#12111yescharacteristic
518C22×C4#12111yescharacteristic
519C22×C4#12111yescharacteristic
520C22×C4#12111yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C2×#4111yescharacteristic
528C22×C4C2×#4111yescharacteristic
529C22×C4C2×#4111yescharacteristic
530Q16—42no—
531Q16—42no—
532SD16—44no—
533SD16—416no—
534SD16—44no—
535D8—42no—
536D8—416no—
537D8—42no—
538M16—48no—
539M16—48no—
540M16—48no—
541M16—48no—
542M16—48no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—28no—
551C2×C8—24no—
552C2×C8—41no—
553C2×C8—41no—
554C2×C8—41no—
555C2×C8—41no—
556C2×C8—44no—
557C2×C8—44no—
558C2×C8—44no—
559C2×C8AGL(1,ℤ/8)14yescomplemented
560C2×C8C22×D411yescharacteristic
561C2×C8C22×D411yescharacteristic
562C2×C8C22×D411yescharacteristic
563C2×C8C22×D411yescharacteristic
564C2×C8C22×D411yescharacteristic
565C2×C8C22×D411yescharacteristic
566C2×C8C22×D411yescharacteristic
567C2×C8C22×D411yescharacteristic
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4C22×D414yes—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—24no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—42no—
595C22⋊C4—42no—
596C22⋊C4—42no—
597C42—42no—
598C42—42no—
599C42—42no—
600C42#12111yescharacteristic
601C42#12111yescharacteristic
602C42#12111yescharacteristic
603C42#12111yescharacteristic
604C42#12111yescharacteristic
605C42#12111yescharacteristic
606C42C22×D411yescharacteristic
607C42C22×D411yescharacteristic
608C42C22×D411yescharacteristic
609C42C22×D411yescharacteristic
610C42C22×D411yescharacteristic
611C42C22×D411yescharacteristic
612C42C2×#4111yescharacteristic
613C42C2×#4111yescharacteristic
614C42C2×#4111yescharacteristic
615C42C2511yescharacteristic
616C23—22no—
617C23—22no—
618C23—22no—
619C23—24no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23—44no—
628C23—44no—
629C23—42no—
630C23—816no—
631C23C2×#12111yescharacteristic
632C23C2×#12111yescharacteristic
633C23C2×#12111yescharacteristic
634Q8—42no—
635Q8—44no—
636Q8—42no—
637Q8—82no—
638D4—28no—
639D4—44no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—82no—
646D4—84no—
647D4—84no—
648D4—84no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—24no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—48no—
669C2×C4—48no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—48no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4C2×#12111yescharacteristic
683C2×C4C2×#12111yescharacteristic
684C2×C4C2×#12111yescharacteristic
685C2×C4C2×#12111yescharacteristic
686C2×C4C2×#12111yescharacteristic
687C2×C4C2×#12111yescharacteristic
688C2×C4C2×#12111yescharacteristic
689C2×C4C2×#12111yescharacteristic
690C2×C4C2×#12111yescharacteristic
691C2×C4C2×AGL(1,ℤ/8)12yes—
692C2×C4#57512yes—
693C2×C4#57514yes—
694C2×C4C23×D411yescharacteristic
695C2×C4C23×D411yescharacteristic
696C2×C4C22×#4111yescharacteristic
697C8—21no—
698C8—21no—
699C8—21no—
700C8—21no—
701C8—21no—
702C8—21no—
703C8—44no—
704C8—48no—
705C8C2×AGL(1,ℤ/8)12yes—
706C8C2×AGL(1,ℤ/8)12yes—
707C22—28no—
708C22—21no—
709C22—21no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—44no—
715C22—44no—
716C22—44no—
717C22—88no—
718C22—88no—
719C22—88no—
720C22—82no—
721C22—82no—
722C22—82no—
723C22#303612yes—
724C22#305412yes—
725C22#306712yes—
726C22C22×#12111yescharacteristic
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—21no—
735C4—44no—
736C4—82no—
737C4—82no—
738C4—82no—
739C4#303612yes—
740C4#305412yes—
741C4C22×AGL(1,ℤ/8)11yescharacteristic
742C4C2×#57512yes—
743C4C2×#57511yescharacteristic
744C2—22no—
745C2—22no—
746C2—22no—
747C2—84no—
748C2—162no—
749C2C2×#303611yescharacteristic
750C2C2×#305411yescharacteristic
751C2C2×#306711yescharacteristic
subgroupG/H
centerC2×C4C2×#121
commutator, Frattini, cosocleC42C25
socleC22C22×#121
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #60673C2semidirect
2. #60558C2semidirect
3. C22×#436C2semidirect
4. #19284C2semidirect
5. #19283C2semidirect
6. #19282C2semidirect
7. #19281C2semidirect
8. #19280C2semidirect
9. #19279C2semidirect
10. #19142C2semidirect
11. #19137C2semidirect
12. #19133C2semidirect
13. #17793C2semidirect
14. #17719C2semidirect
18. #3170C22semidirect
19. #3170C22semidirect
20. #3169C22semidirect
21. #3169C22semidirect
26. #3167C22semidirect
27. #3167C22semidirect
28. #3160C22semidirect
29. #3147C22semidirect
30. #3131C22semidirect
62. #1703C22semidirect
63. #1701C22semidirect
64. #1699C22semidirect
65. #1697C22semidirect
66. #1695C22semidirect
67. #1693C22semidirect
68. #1691C22semidirect
69. #1689C22semidirect
70. #1687C22semidirect
71. #1685C22semidirect
72. #1568C22semidirect
73. #1568C22semidirect
74. #1567C22semidirect
75. #1566C22semidirect
76. #1564C22semidirect
77. #1564C22semidirect
78. #1552C22semidirect
79. #1551C22semidirect
80. #1550C22semidirect
81. #1547C22semidirect
82. #1542C22semidirect
83. #1540C22semidirect
132. #500C23semidirect
133. #500C23semidirect
136. #498C23semidirect
139. #494C23semidirect
140. #493C23semidirect
141. #492C23semidirect
144. #487C23semidirect
145. #487C23semidirect
146. #486C23semidirect
147. #486C23semidirect
244. #335C23semidirect
245. #335C23semidirect
246. #334C23semidirect
247. #334C23semidirect
248. #333C23semidirect
249. #332C23semidirect
250. #332C23semidirect
251. #331C23semidirect
559. C2×C8AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
#606732
#605582
C22×#4362
#192842
#192832
#192822
#192812
#192802
#192792
#191422
#191372
#191332
#177932
#177192