Finite Group Databasebeta

← #6594602

Subgroups — #6594602

Order 512.

1755 conjugacy classes of subgroups.

The subgroup lattice has 785 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36189C211yesmaximal, characteristic, complemented
2#36182C211yesmaximal, characteristic
3#33263C211yesmaximal, characteristic, complemented
4#33174C211yesmaximal, characteristic, complemented
5#33170C211yesmaximal, characteristic, complemented
6#29193C211yesmaximal, characteristic, complemented
7#29192C211yesmaximal, characteristic, complemented
8#28025C214yesmaximal, complemented
9#27973C211yesmaximal, characteristic, complemented
10#27972C211yesmaximal, characteristic, complemented
11#27892C211yesmaximal, characteristic, complemented
12#27891C211yesmaximal, characteristic, complemented
13#25045C214yesmaximal, complemented
14#24787C214yesmaximal, complemented
15#23032C214yesmaximal, complemented
16#21692C211yesmaximal, characteristic, complemented
17#20824C211yesmaximal, characteristic, complemented
18C2×#1845C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic, complemented
20C2×#553—21no—
21C2×#492C2211yescharacteristic
22C2×#468C2214yes—
23C2×#465C2214yes—
24C2×#440C2214yes—
25C2×#435C2212yes—
26C22×#107C2214yes—
27C2×C4×M16C2211yescharacteristic
28C22×C4×C8C2211yescharacteristic
29#2859C2211yescharacteristic
30#2859C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2856C2211yescharacteristic
34#2856C2211yescharacteristic
35#2570—21no—
36#2566—21no—
37#2512—21no—
38#2512C2212yes—
39#2511C2212yes—
40#2507—21no—
41#2504—21no—
42#2500—21no—
43#2497—21no—
44#2487—21no—
45#2442—21no—
46#2441—21no—
47#2423C2212yes—
48#2422—21no—
49#2422C2212yes—
50#2417C2212yes—
51#2416—21no—
52#2416C2212yes—
53#2361—21no—
54#2361C2212yes—
55#2360C2212yes—
56#2352—21no—
57#2345—21no—
58C4×C4⋊Q8C2211yescharacteristic
59C4×#127C2211yescharacteristic
60#2285C2211yescharacteristic
61#2285C2211yescharacteristic
62C2×#384C2211yescharacteristic
63C2×#384C2211yescharacteristic
64C42×D4C2211yescharacteristic
65#2072C2214yes—
66#2071C2214yes—
67#2068C2214yes—
68#2067C2214yes—
69#2036C2214yes—
70#2033C2214yes—
71#1973C2214yes—
72#1973C2214yes—
73#1968C2214yes—
74#1957C2211yescharacteristic
75#1957C2211yescharacteristic
76#1957C2211yescharacteristic
77#1956C2211yescharacteristic
78#1956C2211yescharacteristic
79#1956C2211yescharacteristic
80#1944C2214yes—
81#1943C2214yes—
82#1928C2214yes—
83#1925C2214yes—
84#1874C2214yes—
85#1872C2214yes—
86#1863C2214yes—
87#1862C2214yes—
88#1845C2211yescharacteristic
89#1845C2211yescharacteristic
90#1845C2211yescharacteristic
91#1845C2214yes—
92#1845C2211yescharacteristic
93#1844C2211yescharacteristic
94#1834C2211yescharacteristic
95#1834C2211yescharacteristic
96#1834C2211yescharacteristic
97#1834C2211yescharacteristic
98#1809C2214yes—
99#1776C2214yes—
100#1771C2212yes—
101C4×C4⋊C8C2211yescharacteristic
102#1753C2212yes—
103#1752C2212yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×SD16C2314yes—
108C22×M16C2312yes—
109C23×C8C2312yes—
110#553—48no—
111C2×C4⋊Q8C2311yescharacteristic
112C2×#127C2311yescharacteristic
113C2×#126—22no—
114C2×#125—21no—
115C2×#125—21no—
116C2×#123—22no—
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×#121—22no—
120C2×#121—21no—
121C2×#121—21no—
122C2×#121—21no—
123C2×#121—21no—
124C2×#121C2312yes—
125C2×#121C2312yes—
126C2×C4×Q8C2312yes—
127C2×C4×D4—22no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D411yescharacteristic
132C2×C4×D4C2312yes—
133C2×C4×D4C2311yescharacteristic
134C2×#117—21no—
135C2×#117—21no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2312yes—
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#492—24no—
145#468—48no—
146#465—216no—
147#440—48no—
148#435—28no—
149C2×#107—48no—
150C2×#107C2314yes—
151C2×#107C2314yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2312yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2312yes—
164C4×M16—24no—
165C2×#97C2312yes—
166C2×#97C2312yes—
167C2×#97C2312yes—
168C2×C4×C8—24no—
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2312yes—
173C2×C4×C8C2311yescharacteristic
174#400—22no—
175#400—22no—
176#399—22no—
177#398—22no—
178#398—22no—
179#397—22no—
180#397—22no—
181#396—22no—
182#396—22no—
183#396—22no—
184#394—22no—
185#394—22no—
186#391C2312yes—
187#391C2312yes—
188#391C2312yes—
189#390—21no—
190#390—21no—
191#390—21no—
192#390—21no—
193#390—21no—
194#390—21no—
195#390C2312yes—
196#390C2312yes—
197#390C2312yes—
198#389—21no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—22no—
209#389C2312yes—
210#389C2312yes—
211#389C2312yes—
212#389C2312yes—
213#388—22no—
214#388—22no—
215#388—22no—
216#387—22no—
217#387—22no—
218#387—22no—
219#387—22no—
220#386—22no—
221#386—22no—
222#386—22no—
223#385—22no—
224#385—22no—
225#385—22no—
226#384—21no—
227#384—21no—
228#384—21no—
229#384—21no—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2312yes—
233#384C2312yes—
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2311yescharacteristic
237#384C2311yescharacteristic
238#382—21no—
239#382—21no—
240#382—21no—
241#382—21no—
242#380—21no—
243#380—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—21no—
248#380—22no—
249#380C2312yes—
250#380C2312yes—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4C2312yes—
258C4×C4⋊C4C2312yes—
259C4×C4⋊C4C2311yescharacteristic
260C4×C22⋊C4—22no—
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4D411yescharacteristic
265C4×C22⋊C4C2311yescharacteristic
266C4×C22⋊C4C2311yescharacteristic
267C43C2311yescharacteristic
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275C22×Q8C2412yes—
276C22×D4—22no—
277C22×D4—22no—
278C22×D4—21no—
279C22×D4—21no—
280C22×D4C2×D411yescharacteristic
281C22×D4C2412yes—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4—22no—
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2411yescharacteristic
290C23×C4C2411yescharacteristic
291C2×SD16—28no—
292C2×SD16—28no—
293C2×SD16—28no—
294C2×M16—24no—
295C2×M16—24no—
296C2×M16—24no—
297C22×C8—24no—
298C22×C8—24no—
299C22×C8#4118yes—
300C22×C8C2412yes—
301C22×C8C2412yes—
302C22×C8C2412yes—
303C22×C8C2412yes—
304C4⋊Q8—22no—
305C4⋊Q8—22no—
306#127—22no—
307#127—22no—
308#126—48no—
309#125—44no—
310#125—82no—
311#123—48no—
312C22⋊Q8—28no—
313C22⋊Q8—44no—
314#121—28no—
315#121—44no—
316#121—48no—
317#121—44no—
318#121—44no—
319#121—44no—
320#121—82no—
321C4×Q8—44no—
322C4×D4—24no—
323C4×D4—24no—
324C4×D4—24no—
325C4×D4—44no—
326C4×D4—44no—
327C4×D4—48no—
328C4×D4—82no—
329#117—44no—
330#117—82no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—44no—
359C2×C4⋊C4—44no—
360C2×C4⋊C4—44no—
361C2×C4⋊C4—44no—
362C2×C4⋊C4—82no—
363C2×C4⋊C4—82no—
364C2×C4⋊C4C2×D411yescharacteristic
365C2×C4⋊C4C2×D411yescharacteristic
366C2×C4⋊C4C2×D411yescharacteristic
367C2×C4⋊C4C2412yes—
368C2×C4⋊C4C2412yes—
369C2×C4⋊C4C2412yes—
370C2×C4⋊C4C2412yes—
371C2×C4⋊C4C2412yes—
372C2×C4⋊C4C2412yes—
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⋊C4C2×D411yescharacteristic
387C2×C22⋊C4C2×D411yescharacteristic
388C2×C22⋊C4C2×D411yescharacteristic
389C2×C22⋊C4C2×D411yescharacteristic
390C2×C22⋊C4C2×D411yescharacteristic
391C2×C22⋊C4C2×D411yescharacteristic
392C2×C42—22no—
393C2×C42—22no—
394C2×C42—22no—
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×C42C2411yescharacteristic
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410C2×C42C2411yescharacteristic
411C2×C42C2411yescharacteristic
412#107—28no—
413#107—28no—
414#107—44no—
415#107—44no—
416#106—28no—
417C4⋊C8—24no—
418#103—28no—
419#103—44no—
420#103—44no—
421#102—28no—
422#102—44no—
423#102—44no—
424C22⋊C8—24no—
425C22⋊C8—24no—
426#97—24no—
427#97—24no—
428#97—24no—
429C4×C8—24no—
430C4×C8—22no—
431C4×C8—22no—
432C4×C8—22no—
433C4×C8#4114yes—
434#95—22no—
435#95—22no—
436#95—22no—
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#95—22no—
448#95C2×D411yescharacteristic
449#95C2×D411yescharacteristic
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452#95C2×D411yescharacteristic
453#95C2×D411yescharacteristic
454C24—22no—
455C24C22×D411yescharacteristic
456C24C22×D411yescharacteristic
457C2×Q8—24no—
458C2×Q8—22no—
459C2×Q8—24no—
460C2×Q8—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—22no—
464C2×D4—24no—
465C2×D4—22no—
466C2×D4—24no—
467C2×D4—22no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—44no—
471C2×D4—44no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4—42no—
478C2×D4—82no—
479C2×D4—82no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4—82no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4AGL(1,ℤ/8)14yes—
514C22×C4#13714yes—
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×C4C2×#4114yes—
528C22×C4C2511yescharacteristic
529SD16—416no—
530M16—48no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—216no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8C2×#4114yes—
541C2×C8C2×#4114yes—
542C2×C8C2×#4114yes—
543C2×C8H(5,𝔽2)14yes—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—82no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C4⋊C4—82no—
577C4⋊C4—82no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—82no—
594C22⋊C4—82no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—21no—
608C42—21no—
609C42—22no—
610C42—22no—
611C42—21no—
612C42—21no—
613C42—44no—
614C42—82no—
615C42—82no—
616C42C2×#4112yes—
617C422−1+412yes—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—42no—
630C23—42no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23#53212yes—
637C23C2×AGL(1,ℤ/8)12yes—
638C23C2×#13712yes—
639C23C23×D411yescharacteristic
640Q8—44no—
641Q8—44no—
642D4—44no—
643D4—44no—
644D4—44no—
645D4—88no—
646D4—84no—
647D4—84no—
648D4—164no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—24no—
658C2×C4—24no—
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—44no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
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—164no—
706C2×C4—164no—
707C2×C4—164no—
708C2×C4#53212yes—
709C2×C4#54712yes—
710C2×C4#54712yes—
711C2×C4C2×AGL(1,ℤ/8)12yes—
712C2×C4C2×AGL(1,ℤ/8)12yes—
713C2×C4C2×#13712yes—
714C2×C4C2×#13712yes—
715C2×C4#57612yes—
716C2×C4#57812yes—
717C2×C4C22×#4111yescharacteristic
718C2×C4C22×#4112yes—
719C2×C4C2×H(5,𝔽2)12yes—
720C2×C4C2×2−1+411yescharacteristic
721C8—24no—
722C8—42no—
723C8—42no—
724C8#55318yescomplemented
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—41no—
732C22—41no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22—82no—
745C22#318214yes—
746C22C2×#53211yescharacteristic
747C22C2×#54711yescharacteristic
748C22#349811yescharacteristic
749C22C22×AGL(1,ℤ/8)11yescharacteristic
750C22C22×#13711yescharacteristic
751C22C2×#57611yescharacteristic
752C22C2×#57811yescharacteristic
753C4—22no—
754C4—22no—
755C4—22no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—41no—
760C4—41no—
761C4—41no—
762C4—41no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4—82no—
768C4—82no—
769C4—82no—
770C4#334314yes—
771C4#334614yes—
772C4C2×#55312yes—
773C4#351112yes—
774C2—24no—
775C2—81no—
776C2—162no—
777C2#3618211yescharacteristic
778C2C2×#318211yescharacteristic
779C2#6071811yescharacteristic
780C2C2×#334311yescharacteristic
781C2C2×#334611yescharacteristic
782C2#6242311yescharacteristic
783C2#6242411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36182C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36189C2semidirect
3. #33263C2semidirect
4. #33174C2semidirect
5. #33170C2semidirect
6. #29193C2semidirect
7. #29192C2semidirect
8. #28025C2semidirect
9. #27973C2semidirect
10. #27972C2semidirect
11. #27892C2semidirect
12. #27891C2semidirect
13. #25045C2semidirect
14. #24787C2semidirect
15. #23032C2semidirect
16. #21692C2semidirect
17. #20824C2semidirect
18. C2×#1845C2semidirect
19. C4×#435C2semidirect
724. C8#553semidirect

Maximal subgroups

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

subgroupindex
#361892
#361822
#332632
#331742
#331702
#291932
#291922
#280252
#279732
#279722
#278922
#278912
#250452
#247872
#230322
#216922
#208242
C2×#18452
C4×#4352