Finite Group Databasebeta

← #6494679

Subgroups — #6494679

Order 512.

1675 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35288C211yesmaximal, characteristic, complemented
2#35277C211yesmaximal, characteristic, complemented
3#33316C211yesmaximal, characteristic, complemented
4#33254C211yesmaximal, characteristic, complemented
5#33210C211yesmaximal, characteristic, complemented
6#33175C211yesmaximal, characteristic
7#30204C211yesmaximal, characteristic, complemented
8#30203C211yesmaximal, characteristic, complemented
9#29843C211yesmaximal, characteristic, complemented
10#29842C211yesmaximal, characteristic, complemented
11#28017C214yesmaximal, complemented
12#27794C214yesmaximal, complemented
13#26488C214yesmaximal, complemented
14#25038C214yesmaximal, complemented
15#22220C211yesmaximal, characteristic, complemented
16#22219C211yesmaximal, characteristic, complemented
17C4×#498C211yesmaximal, characteristic, complemented
18C4×#493C211yesmaximal, characteristic, complemented
19#20472C211yesmaximal, characteristic, complemented
20C2×#542—21no—
21C2×#501C2214yes—
22C2×#498C2211yescharacteristic
23C2×#493C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#469C2214yes—
27C2×C4×D8C2214yes—
28C2×#431C2211yescharacteristic
29C2×C4×M16C2211yescharacteristic
30#2868C2211yescharacteristic
31#2859C2211yescharacteristic
32#2858C2211yescharacteristic
33#2858C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2856C2211yescharacteristic
37#2856C2211yescharacteristic
38#2644—21no—
39#2640—21no—
40#2624—21no—
41#2620—21no—
42#2513C2212yes—
43#2512—21no—
44#2512C2212yes—
45#2491—21no—
46#2491C2212yes—
47#2490C2212yes—
48#2454C2212yes—
49#2452—21no—
50#2452C2212yes—
51#2448—21no—
52#2447—21no—
53#2427—21no—
54#2426—21no—
55#2422—21no—
56#2422C2212yes—
57#2420C2212yes—
58#2326—21no—
59#2324—21no—
60#2319—21no—
61C4×C4⋊Q8C2211yescharacteristic
62C4×C4⋊Q8C2211yescharacteristic
63C4×#127C2211yescharacteristic
64C4×#127C2211yescharacteristic
65C4×#117C2211yescharacteristic
66#2073C2214yes—
67#2071C2214yes—
68#2067C2214yes—
69#2065C2214yes—
70#2034C2214yes—
71#2033C2214yes—
72#2025C2214yes—
73#2023C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1972C2214yes—
79#1972C2214yes—
80#1972C2214yes—
81#1970C2214yes—
82#1957C2211yescharacteristic
83#1957C2211yescharacteristic
84#1957C2211yescharacteristic
85#1957C2211yescharacteristic
86#1943C2214yes—
87#1941C2214yes—
88#1926C2214yes—
89#1925C2214yes—
90#1864C2214yes—
91#1862C2214yes—
92#1847C2214yes—
93#1845C2211yescharacteristic
94#1845C2211yescharacteristic
95#1844C2211yescharacteristic
96#1844C2211yescharacteristic
97#1809C2214yes—
98C4×#106C2214yes—
99#1771C2212yes—
100#1771C2212yes—
101#1753C2212yes—
102#1753C2212yes—
103#1744C2211yescharacteristic
104#1744C2211yescharacteristic
105C4×#97C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×D8C2314yes—
108C22×M16C2312yes—
109#542—48no—
110C2×C4⋊Q8—21no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8C2311yescharacteristic
113C2×C4⋊Q8C2311yescharacteristic
114C2×C4⋊Q8C2312yes—
115C2×#127C2311yescharacteristic
116C2×#127C2311yescharacteristic
117C2×#126—22no—
118C2×#125C2312yes—
119C2×#124—22no—
120C2×#124—21no—
121C2×#124—21no—
122C2×#124—21no—
123C2×#124—21no—
124C2×#123—22no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—22no—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121C2312yes—
133C2×#121C2312yes—
134C2×C4×Q8—21no—
135C2×C4×Q8—21no—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4C2312yes—
141C2×C4×D4C2312yes—
142C2×#117D411yescharacteristic
143C2×#117D411yescharacteristic
144C22×C42C2311yescharacteristic
145#501—48no—
146#498—24no—
147#493—24no—
148#486—24no—
149#486—24no—
150#469—48no—
151C4×D8—48no—
152#431—24no—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#106C2314yes—
156C2×#106C2314yes—
157C2×#106C2314yes—
158C2×C4⋊C8C2312yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×C22⋊C8C2312yes—
166C4×M16—24no—
167C2×#97C2312yes—
168C2×#97C2312yes—
169C2×#97C2312yes—
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2312yes—
173C2×C4×C8C2312yes—
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176#399—22no—
177#397—22no—
178#397—22no—
179#397—22no—
180#397—22no—
181#397—22no—
182#397—22no—
183#396—22no—
184#396—22no—
185#396—22no—
186#394—22no—
187#394—22no—
188#394—22no—
189#394—22no—
190#393—22no—
191#393—22no—
192#391—21no—
193#391—21no—
194#391—21no—
195#391—21no—
196#390—22no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390—21no—
202#390—21no—
203#390—21no—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390—21no—
209#390C2312yes—
210#390C2312yes—
211#390C2312yes—
212#390C2312yes—
213#390C2312yes—
214#390C2312yes—
215#390C2312yes—
216#390C2312yes—
217#389—21no—
218#389—21no—
219#389—21no—
220#389—21no—
221#389—21no—
222#389—21no—
223#389—21no—
224#389—21no—
225#389C2312yes—
226#389C2312yes—
227#389C2312yes—
228#389C2312yes—
229#388—22no—
230#388—22no—
231#388—22no—
232#388—22no—
233#388—22no—
234#386—22no—
235#385—22no—
236#385—22no—
237#385—22no—
238#384—21no—
239#384—21no—
240#384C2311yescharacteristic
241#384C2311yescharacteristic
242#384C2311yescharacteristic
243#384C2311yescharacteristic
244#384C2312yes—
245#382C2312yes—
246#381—22no—
247#380—21no—
248#380—21no—
249#380—22no—
250#380C2312yes—
251#380C2312yes—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4D411yescharacteristic
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2311yescharacteristic
259C4×C4⋊C4C2311yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264#376D411yescharacteristic
265#376D411yescharacteristic
266C43C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276C22×Q8—21no—
277C22×Q8—21no—
278C22×Q8—22no—
279C22×D4—22no—
280C22×D4—22no—
281C22×D4—21no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4—21no—
285C22×D4C2412yes—
286C22×D4C2412yes—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C2×D8—28no—
293C2×D8—28no—
294C2×D8—28no—
295C2×M16—24no—
296C2×M16—24no—
297C2×M16—24no—
298C22×C8C2412yes—
299C22×C8C2412yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C4⋊Q8—22no—
303C4⋊Q8—22no—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306C4⋊Q8—44no—
307C4⋊Q8—44no—
308C4⋊Q8—82no—
309#127—22no—
310#127—22no—
311#127—22no—
312#127—22no—
313#126—48no—
314#125—44no—
315#124—44no—
316#124—44no—
317#124—48no—
318#124—82no—
319#124—82no—
320#123—48no—
321C22⋊Q8—48no—
322C22⋊Q8—44no—
323C22⋊Q8—82no—
324#121—44no—
325#121—44no—
326#121—44no—
327#121—44no—
328#121—82no—
329#121—82no—
330C4×Q8—44no—
331C4×Q8—82no—
332C4×D4—44no—
333C4×D4—44no—
334C4×D4—44no—
335C4×D4—44no—
336C4×D4—82no—
337C4×D4—82no—
338#117—24no—
339#117—42no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4C2×D411yescharacteristic
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2×D411yescharacteristic
362C2×C4⋊C4C2×D411yescharacteristic
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
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—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415#107—28no—
416#107—44no—
417#106—28no—
418#106—28no—
419#106—44no—
420C4⋊C8—24no—
421#102—28no—
422#102—28no—
423#102—44no—
424#102—44no—
425#102—44no—
426#102—44no—
427C22⋊C8—24no—
428#97—24no—
429#97—24no—
430#97—24no—
431C4×C8—24no—
432C4×C8—24no—
433C4×C8—22no—
434C4×C8—22no—
435C4×C8#4114yes—
436C4×C8#4114yes—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95C2×D411yescharacteristic
448#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454#95C2×D411yescharacteristic
455C24—22no—
456C24—22no—
457C24C22×D411yescharacteristic
458C2×Q8—44no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8—42no—
465C2×Q8—82no—
466C2×Q8—82no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—24no—
474C2×D4—24no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4—42no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—42no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—42no—
489C2×D4—82no—
490C2×D4—82no—
491C2×D4—82no—
492C2×D4—82no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C2511yescharacteristic
529D8—416no—
530M16—48no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8C2×#4114yes—
540C2×C8C2×#4114yes—
541C2×C8H(5,𝔽2)14yes—
542C2×C82−1+414yes—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—41no—
554C4⋊C4—41no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—82no—
569C4⋊C4—82no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—82no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C22⋊C4—82no—
592C22⋊C4—82no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—21no—
610C42—21no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—44no—
616C42—82no—
617C42AGL(1,ℤ/8)14yes—
618C42C2×#4112yes—
619C42C2×#4112yes—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23C23×D411yescharacteristic
642Q8—84no—
643Q8—84no—
644Q8—164no—
645D4—44no—
646D4—44no—
647D4—44no—
648D4—44no—
649D4—84no—
650D4—84no—
651D4—84no—
652D4—84no—
653D4—164no—
654D4—164no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—164no—
709C2×C4—164no—
710C2×C4#53212yes—
711C2×C4#53212yes—
712C2×C4C2×AGL(1,ℤ/8)12yes—
713C2×C4C2×AGL(1,ℤ/8)12yes—
714C2×C4C2×AGL(1,ℤ/8)12yes—
715C2×C4#57512yes—
716C2×C4#57612yes—
717C2×C4#57712yes—
718C2×C4C22×#4111yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C2×H(5,𝔽2)12yes—
721C2×C4C2×2−1+412yes—
722C8—24no—
723C8—42no—
724C8—42no—
725C8#54218yescomplemented
726C22—41no—
727C22—41no—
728C22—41no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—41no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22—82no—
746C22—82no—
747C22C2×#53211yescharacteristic
748C22#349811yescharacteristic
749C22#349911yescharacteristic
750C22C22×AGL(1,ℤ/8)11yescharacteristic
751C22C2×#57511yescharacteristic
752C22C2×#57611yescharacteristic
753C22C2×#57711yescharacteristic
754C4—22no—
755C4—22no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—41no—
764C4—41no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4—82no—
771C4#317114yes—
772C4#317914yes—
773C4C2×#54212yes—
774C4#351112yes—
775C2—81no—
776C2—162no—
777C2—162no—
778C2#3527711yescharacteristic
779C2C2×#317111yescharacteristic
780C2C2×#317911yescharacteristic
781C2#6242311yescharacteristic
782C2#6242711yescharacteristic
783C2#6247711yescharacteristic
784C2#6248111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#33175C2
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. #35288C2semidirect
2. #35277C2semidirect
3. #33316C2semidirect
4. #33254C2semidirect
5. #33210C2semidirect
7. #30204C2semidirect
8. #30203C2semidirect
9. #29843C2semidirect
10. #29842C2semidirect
11. #28017C2semidirect
12. #27794C2semidirect
13. #26488C2semidirect
14. #25038C2semidirect
15. #22220C2semidirect
16. #22219C2semidirect
17. C4×#498C2semidirect
18. C4×#493C2semidirect
19. #20472C2semidirect
725. C8#542semidirect

Maximal subgroups

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

subgroupindex
#352882
#352772
#333162
#332542
#332102
#331752
#302042
#302032
#298432
#298422
#280172
#277942
#264882
#250382
#222202
#222192
C4×#4982
C4×#4932
#204722