Finite Group Databasebeta

← #6615425

Subgroups — #6615425

Order 512.

1717 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36194C211yesmaximal, characteristic, complemented
2#36149C211yesmaximal, characteristic
3#33293C211yesmaximal, characteristic, complemented
4#33210C211yesmaximal, characteristic, complemented
5#33209C211yesmaximal, characteristic, complemented
6#28858C214yesmaximal, complemented
7#28854C214yesmaximal, complemented
8#28688C211yesmaximal, characteristic, complemented
9#28508C211yesmaximal, characteristic, complemented
10#27878C211yesmaximal, characteristic, complemented
11#27877C211yesmaximal, characteristic, complemented
12#25673C211yesmaximal, characteristic, complemented
13#25671C211yesmaximal, characteristic, complemented
14#25350C214yesmaximal, complemented
15#22979C214yesmaximal, complemented
16#21646C211yesmaximal, characteristic, complemented
17#21410C211yesmaximal, characteristic, complemented
18#21401C211yesmaximal, characteristic, complemented
19C4×#435C211yesmaximal, characteristic, complemented
20C2×#532C2211yescharacteristic
21C2×#532C2211yescharacteristic
22C2×#500C2211yescharacteristic
23C2×#498C2211yescharacteristic
24C2×#486C2211yescharacteristic
25C2×#474C2214yes—
26C2×#435C2212yes—
27C2×C4×M16C2211yescharacteristic
28C22×C4×C8C2211yescharacteristic
29#2868C2211yescharacteristic
30#2862C2211yescharacteristic
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2571—21no—
36#2563C2212yes—
37#2538—21no—
38#2535C2212yes—
39#2497C2212yes—
40#2497C2212yes—
41#2492—21no—
42#2492—21no—
43#2447—21no—
44#2447—21no—
45#2439—21no—
46#2439—21no—
47#2427—21no—
48#2427—21no—
49#2420C2212yes—
50#2420C2212yes—
51#2407—21no—
52#2407—21no—
53#2369C2212yes—
54#2355—21no—
55#2354—21no—
56#2349C2212yes—
57#2339—21no—
58#2339—21no—
59C4×C4⋊Q8C2211yescharacteristic
60C4×#127C2211yescharacteristic
61#2285C2211yescharacteristic
62#2285C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2093C2214yes—
65#2085C2214yes—
66#2076C2214yes—
67#2075C2214yes—
68#2034C2214yes—
69#2033C2214yes—
70#1993C2214yes—
71#1990C2211yescharacteristic
72#1990C2211yescharacteristic
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1949C2214yes—
82#1943C2214yes—
83#1942C2214yes—
84#1936C2214yes—
85#1921C2214yes—
86#1918C2214yes—
87#1895C2214yes—
88#1893C2214yes—
89#1864C2214yes—
90#1862C2214yes—
91#1845C2211yescharacteristic
92#1845C2211yescharacteristic
93#1836C2214yes—
94#1834C2211yescharacteristic
95#1809C2214yes—
96#1808C2214yes—
97#1771C2212yes—
98C4×C4⋊C8C2211yescharacteristic
99#1762C2214yes—
100#1762C2214yes—
101C4×#102C2214yes—
102#1753C2212yes—
103#1752C2212yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106C4×#97C2211yescharacteristic
107C22×#41—21no—
108C22×#41—21no—
109C22×M16C2312yes—
110C23×C8C2312yes—
111#532—24no—
112#532—24no—
113#532—42no—
114#532—42no—
115C2×C4⋊Q8—21no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8C2311yescharacteristic
118C2×C4⋊Q8C2312yes—
119C2×C4⋊Q8C2311yescharacteristic
120C2×C4⋊Q8C2311yescharacteristic
121C2×#127C2311yescharacteristic
122C2×#124—21no—
123C2×#124—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—21no—
127C2×C22⋊Q8—21no—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121C2312yes—
131C2×#121C2312yes—
132C2×C4×Q8—21no—
133C2×C4×D4—21no—
134C2×C4×D4—21no—
135C2×C4×D4—21no—
136C2×C4×D4—21no—
137C2×C4×D4D411yescharacteristic
138C2×C4×D4D411yescharacteristic
139C2×C4×D4C2312yes—
140C2×C4×D4C2312yes—
141C2×C4×D4C2312yes—
142C2×C4×D4C2311yescharacteristic
143C2×#117—21no—
144C2×#117—21no—
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147#500—42no—
148#498—42no—
149#486—24no—
150#474—216no—
151#435—28no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2312yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2312yes—
163C4×M16—42no—
164C2×#97C2312yes—
165C2×#97C2312yes—
166C2×#97C2312yes—
167C2×C4×C8—42no—
168C2×C4×C8C2311yescharacteristic
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2312yes—
173#400—22no—
174#400—22no—
175#397—22no—
176#397—22no—
177#397—22no—
178#396—22no—
179#396—22no—
180#394—22no—
181#394—22no—
182#393—22no—
183#393—22no—
184#392—22no—
185#391—21no—
186#391—21no—
187#391—21no—
188#391—21no—
189#391—21no—
190#391—21no—
191#391—21no—
192#391—21no—
193#391—21no—
194#391—22no—
195#391—22no—
196#390—22no—
197#390—21no—
198#390—21no—
199#390C2312yes—
200#389—22no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—21no—
206#389C2312yes—
207#389C2312yes—
208#389C2312yes—
209#389C2312yes—
210#389C2312yes—
211#388—22no—
212#388—22no—
213#387—22no—
214#387—22no—
215#386—22no—
216#386—22no—
217#386—22no—
218#386—22no—
219#385—22no—
220#385—22no—
221#384—21no—
222#384—21no—
223#384C2311yescharacteristic
224#384C2311yescharacteristic
225#384C2311yescharacteristic
226#384C2311yescharacteristic
227#384C2312yes—
228#382—22no—
229#382—21no—
230#382—21no—
231#382C2312yes—
232#382C2312yes—
233#381—22no—
234#381—22no—
235#380—21no—
236#380—21no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—22no—
242#380C2312yes—
243#380C2312yes—
244#380C2312yes—
245#380C2312yes—
246#380C2312yes—
247#380C2312yes—
248C4×C4⋊C4—22no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4D411yescharacteristic
253C4×C4⋊C4D411yescharacteristic
254C4×C4⋊C4C2312yes—
255C4×C4⋊C4C2312yes—
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2311yescharacteristic
258C4×C22⋊C4D411yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264C2×#95—22no—
265C43C2311yescharacteristic
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277C2×#41—44no—
278C2×#41—44no—
279C2×#41—44no—
280C2×#41—44no—
281C2×#41—82no—
282C2×#41—82no—
283C22×Q8—21no—
284C22×Q8—21no—
285C22×Q8—21no—
286C22×Q8—22no—
287C22×D4—22no—
288C22×D4—22no—
289C22×D4—21no—
290C22×D4—21no—
291C22×D4C2×D411yescharacteristic
292C22×D4C2412yes—
293C23×C4—22no—
294C23×C4—22no—
295C23×C4—22no—
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D411yescharacteristic
299C23×C4C2×D411yescharacteristic
300C23×C4C2411yescharacteristic
301C23×C4C2411yescharacteristic
302C2×M16—24no—
303C2×M16—24no—
304C2×M16—42no—
305C22×C8—24no—
306C22×C8—24no—
307C22×C8—42no—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—28no—
315C4⋊Q8—22no—
316C4⋊Q8—22no—
317C4⋊Q8—22no—
318C4⋊Q8—22no—
319C4⋊Q8—82no—
320C4⋊Q8—82no—
321#127—22no—
322#127#4114yes—
323#124—44no—
324#124—44no—
325C22⋊Q8—82no—
326C22⋊Q8—82no—
327C22⋊Q8—82no—
328C22⋊Q8—82no—
329#121—24no—
330#121—24no—
331#121—42no—
332#121—42no—
333#121—44no—
334#121—44no—
335C4×Q8—44no—
336C4×D4—24no—
337C4×D4—24no—
338C4×D4—24no—
339C4×D4—24no—
340C4×D4—28no—
341C4×D4—42no—
342C4×D4—42no—
343C4×D4—42no—
344C4×D4—44no—
345C4×D4—44no—
346C4×D4—82no—
347C4×D4—82no—
348#117—82no—
349#117—82no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
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⋊C4—22no—
392C2×C22⋊C4C2×D411yescharacteristic
393C2×C22⋊C4C2×D411yescharacteristic
394C2×C22⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C42—22no—
399C2×C42—22no—
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418#107—28no—
419#107—28no—
420#107—44no—
421#106—44no—
422C4⋊C8#4118yescomplemented
423#102—28no—
424#102—28no—
425#102—28no—
426#102—28no—
427C22⋊C8—24no—
428C22⋊C8—24no—
429#97—24no—
430#97—24no—
431#97—42no—
432C4×C8—22no—
433C4×C8—22no—
434C4×C8—22no—
435C4×C8—22no—
436C4×C8—42no—
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#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461C24—22no—
462C24C22×D411yescharacteristic
463C24C22×D411yescharacteristic
464#41—816no—
465#41—816no—
466C2×Q8—44no—
467C2×Q8—42no—
468C2×Q8—42no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—42no—
473C2×Q8—42no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—82no—
477C2×Q8—82no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—24no—
483C2×D4—22no—
484C2×D4—24no—
485C2×D4—41no—
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—82no—
495C2×D4—82no—
496C2×D4C2×#4114yes—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
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—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—82no—
529C22×C4—82no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4#13714yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C2511yescharacteristic
546M16—48no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—48no—
557C2×C8C2×#4114yes—
558C2×C8C2×#4114yes—
559C2×C82−1+414yes—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—24no—
572C4⋊C4—41no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C4⋊C4—82no—
591C4⋊C4—82no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—41no—
597C22⋊C4—41no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4—82no—
609C22⋊C4—82no—
610C22⋊C4—82no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—21no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—22no—
624C42—44no—
625C42—82no—
626C42—82no—
627C42C2×#4114yes—
628C42C2×#4112yes—
629C42H(5,𝔽2)12yes—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—24no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23C2×#13712yes—
651C23C23×D411yescharacteristic
652Q8—84no—
653Q8—84no—
654Q8—84no—
655Q8—164no—
656D4—28no—
657D4—44no—
658D4—44no—
659D4—48no—
660D4—48no—
661D4—88no—
662D4—88no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—28no—
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—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
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—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—88no—
720C2×C4—88no—
721C2×C4—164no—
722C2×C4#53212yes—
723C2×C4#53212yes—
724C2×C4#54612yes—
725C2×C4#54612yes—
726C2×C4C2×#13712yes—
727C2×C4C2×#13712yes—
728C2×C4#57512yes—
729C2×C4#57612yes—
730C2×C4#57612yes—
731C2×C4C22×#4111yescharacteristic
732C2×C4C22×#4112yes—
733C2×C4C2×H(5,𝔽2)11yescharacteristic
734C2×C4C2×2−1+412yes—
735C8—24no—
736C8—24no—
737C8—24no—
738C8—42no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—44no—
752C22—41no—
753C22—44no—
754C22—41no—
755C22—44no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22C2×#53211yescharacteristic
761C22C2×#54611yescharacteristic
762C22#349911yescharacteristic
763C22C22×#13711yescharacteristic
764C22C2×#57511yescharacteristic
765C22C2×#57611yescharacteristic
766C22C2×#57611yescharacteristic
767C4—22no—
768C4—22no—
769C4—22no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—41no—
775C4—41no—
776C4—41no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4#331414yes—
785C4#331914yes—
786C4#348212yes—
787C4#352012yes—
788C2—42no—
789C2—81no—
790C2—84no—
791C2#3640611yescharacteristic
792C2#6070111yescharacteristic
793C2#6071411yescharacteristic
794C2C2×#331411yescharacteristic
795C2C2×#331911yescharacteristic
796C2#6248011yescharacteristic
797C2#6248111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36149C2
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. #36194C2semidirect
3. #33293C2semidirect
4. #33210C2semidirect
5. #33209C2semidirect
6. #28858C2semidirect
7. #28854C2semidirect
8. #28688C2semidirect
9. #28508C2semidirect
10. #27878C2semidirect
11. #27877C2semidirect
12. #25673C2semidirect
13. #25671C2semidirect
14. #25350C2semidirect
15. #22979C2semidirect
16. #21646C2semidirect
17. #21410C2semidirect
18. #21401C2semidirect
19. C4×#435C2semidirect
422. C4⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
#361942
#361492
#332932
#332102
#332092
#288582
#288542
#286882
#285082
#278782
#278772
#256732
#256712
#253502
#229792
#216462
#214102
#214012
C4×#4352