Finite Group Databasebeta

← #6574901

Subgroups — #6574901

Order 512.

2585 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3092C212yesmaximal, complemented
2#36101C211yesmaximal, characteristic
3C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#33107C211yesmaximal, characteristic, complemented
5#32979C212yesmaximal, complemented
6#27906C211yesmaximal, characteristic, complemented
7#27648C211yesmaximal, characteristic, complemented
8#26230C212yesmaximal, complemented
9#26142C214yesmaximal, complemented
10#25014C212yesmaximal, complemented
11#24879C214yesmaximal, complemented
12#24557C212yesmaximal, complemented
13#24007C212yesmaximal, complemented
14#22663C212yesmaximal, complemented
15#22432C212yesmaximal, complemented
16#22401C211yesmaximal, characteristic, complemented
17C4×#484C211yesmaximal, characteristic, complemented
18C2×#550C2211yescharacteristic
19C2×#525C2212yes—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23#3092—216no—
24C2×#484C2212yes—
25C2×#484C2211yescharacteristic
26C2×#481C2212yes—
27C2×#481C2212yes—
28C2×#481C2212yes—
29C2×#483C2214yescomplemented
30C2×#480C2214yescomplemented
31C2×#436C2212yes—
32C2×#428C2214yescomplemented
33C2×#417C2214yescomplemented
34C2×#407C2212yes—
35#2856C2211yescharacteristic
36#2847C2212yes—
37#2541C2211yescharacteristic
38#2538C2211yescharacteristic
39#2456—22no—
40#2445—21no—
41#2433—21no—
42#2424—22no—
43#2414C2212yes—
44#2407C2212yes—
45#2366—21no—
46#2361—21no—
47#2354C2211yescharacteristic
48D4×C4⋊C4—21no—
49D4×C4⋊C4—21no—
50D4×C4⋊C4—22no—
51D4×C4⋊C4C2214yes—
52D4×C4⋊C4C2212yes—
53D4×C4⋊C4C2212yes—
54C4×C22⋊Q8C2211yescharacteristic
55C2×#389—21no—
56C2×#385—22no—
57C2×#384C2211yescharacteristic
58C2×#380C2212yes—
59C2×C4×C4⋊C4C2211yescharacteristic
60#2094C2214yescomplemented
61#2083C2212yescomplemented
62#2077C2214yescomplemented
63#2072C2212yescomplemented
64#2035C2214yescomplemented
65#2033C2214yescomplemented
66#2033C2214yescomplemented
67#1982C2212yescomplemented
68#1957C2212yescomplemented
69#1954C2212yes—
70#1948C2212yescomplemented
71#1947C2212yescomplemented
72#1928C2212yescomplemented
73#1926C2214yescomplemented
74#1921C2212yescomplemented
75#1895C2214yescomplemented
76#1874C2212yes—
77#1874C2214yescomplemented
78#1874C2214yescomplemented
79#1872C2211yescharacteristic
80#1870C2214yes—
81#1854C2214yescomplemented
82#1853C2214yescomplemented
83#1853C2214yescomplemented
84#1852C2211yescharacteristic
85#1844C2212yescomplemented
86#1824C2212yes—
87#1824C2211yescharacteristic
88#1809C2214yescomplemented
89#1803C2212yescomplemented
90#1797C2211yescharacteristic
91#1788C2214yescomplemented
92#1779C2212yes—
93C4×#107C2212yescomplemented
94C4×#103C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C22×#41C2312yes—
97C23×D4D411yescharacteristic
98C24×C4—22no—
99C24×C4C2312yes—
100C22×M16C2314yes—
101#550—28no—
102C2×#127—21no—
103C2×#127—21no—
104C2×#127C2311yescharacteristic
105#525—28no—
106#525—44no—
107C2×#123—22no—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2311yescharacteristic
110C2×#121—21no—
111C2×#121—21no—
112C2×#121—22no—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C2×#121C2312yes—
116C2×#121C2312yes—
117C2×#120—22no—
118C2×#120—22no—
119C2×C4×Q8C2311yescharacteristic
120C2×C4×D4—28no—
121C2×C4×D4—24no—
122C2×C4×D4—22no—
123C2×C4×D4—22no—
124C2×C4×D4—22no—
125C2×C4×D4—22no—
126C2×C4×D4—21no—
127C2×C4×D4—48no—
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D411yescharacteristic
130C2×C4×D4D412yes—
131C2×C4×D4C2312yes—
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2311yescharacteristic
134C2×#117C2312yes—
135C22×C4⋊C4—28no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—22no—
138C22×C4⋊C4—22no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4—21no—
141C22×C4⋊C4—44no—
142C22×C4⋊C4D411yescharacteristic
143C22×C4⋊C4C2312yes—
144C22×C4⋊C4C2314yes—
145C22×C4⋊C4C2314yes—
146C22×C4⋊C4C2311yescharacteristic
147C22×C4⋊C4C2311yescharacteristic
148C22×C22⋊C4—22no—
149C22×C22⋊C4D412yes—
150C22×C42—21no—
151C22×C42C2311yescharacteristic
152#484—28no—
153#484D418yescomplemented
154#483—216no—
155#481—28no—
156#481—28no—
157#481—44no—
158#480—216no—
159#436—28no—
160#428—216no—
161C2×#107C2314yes—
162C2×#107C2312yes—
163C2×#107C2312yes—
164C2×#106C2314yes—
165C2×#106C2314yes—
166C2×#106C2314yes—
167C2×C4⋊C8C2312yes—
168#417—216no—
169C2×#103C2314yes—
170C2×#103C2312yes—
171C2×#103C2312yes—
172C2×#102C2314yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×#102C2314yes—
176#407—28no—
177C2×C22⋊C8C2312yes—
178C2×C22⋊C8C2314yes—
179C2×C22⋊C8C2311yescharacteristic
180C2×C22⋊C8C2314yes—
181C2×C22⋊C8C2314yes—
182C2×C22⋊C8C2311yescharacteristic
183C2×C4×C8C2312yes—
184#396—22no—
185#394—22no—
186#394—22no—
187#392—22no—
188#392—22no—
189#392—22no—
190#391C2311yescharacteristic
191#390—21no—
192#390—21no—
193#390—21no—
194#390—22no—
195#390—21no—
196#390—21no—
197#390C2312yes—
198#389—24no—
199#389—22no—
200#389—22no—
201#389—21no—
202#389C2311yescharacteristic
203#388—22no—
204#388—22no—
205#387—21no—
206#386—22no—
207#386—22no—
208#386—22no—
209#386—22no—
210#385—21no—
211#385—22no—
212#385—24no—
213#385—24no—
214#385—24no—
215#385—24no—
216#384—21no—
217#384—21no—
218#384C2312yes—
219#384C2312yes—
220#384C2311yescharacteristic
221#380—22no—
222#380—22no—
223#380C2312yes—
224#380C2314yes—
225#380C2312yes—
226#380C2314yes—
227#380C2311yescharacteristic
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2311yescharacteristic
235C4×C22⋊C4—21no—
236C2×#95—21no—
237C2×#95—22no—
238#340C2314yes—
239#340C2314yes—
240#340C2314yes—
241#340C2312yes—
242#340C2312yes—
243#340C2312yes—
244#340C2312yes—
245#336C2312yes—
246#336C2312yes—
247C25C2×D412yes—
248C2×#41—24no—
249C2×#41—28no—
250C2×#41—42no—
251C2×#41—44no—
252C22×Q8C2411yescharacteristic
253C22×D4—24no—
254C22×D4—24no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—22no—
259C22×D4—22no—
260C22×D4—24no—
261C22×D4—21no—
262C22×D4—21no—
263C22×D4C2×D412yes—
264C22×D4C2×D411yescharacteristic
265C22×D4C2×D411yescharacteristic
266C22×D4C2412yes—
267C23×C4—21no—
268C23×C4—24no—
269C23×C4—28no—
270C23×C4—24no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—24no—
274C23×C4—24no—
275C23×C4—22no—
276C23×C4—44no—
277C23×C4—48no—
278C23×C4—48no—
279C23×C4—84no—
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D412yes—
282C23×C4C2×D412yes—
283C23×C4C2×D412yes—
284C23×C4C2×D411yescharacteristic
285C23×C4C2412yes—
286C23×C4C2411yescharacteristic
287C23×C4C2412yes—
288C2×M16—28no—
289C2×M16—28no—
290C2×M16—44no—
291C22×C8C2414yes—
292C22×C8C2412yes—
293C22×C8C2412yes—
294#127—24no—
295#127—44no—
296#127—44no—
297#123—48no—
298C22⋊Q8—22no—
299C22⋊Q8—24no—
300C22⋊Q8—42no—
301C22⋊Q8C2×D414yes—
302#121—24no—
303#121—28no—
304#121—24no—
305#121—24no—
306#121—42no—
307#121—44no—
308#121—48no—
309#121—44no—
310#121—82no—
311#120—48no—
312#120—84no—
313C4×Q8—24no—
314C4×D4—24no—
315C4×D4—28no—
316C4×D4—24no—
317C4×D4—28no—
318C4×D4—24no—
319C4×D4—48no—
320C4×D4—48no—
321C4×D4—416no—
322C4×D4—48no—
323C4×D4—48no—
324C4×D4—44no—
325C4×D4#4118yes—
326#117—24no—
327#117—42no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—28no—
335C2×C4⋊C4—28no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—44no—
350C2×C4⋊C4—44no—
351C2×C4⋊C4—42no—
352C2×C4⋊C4—48no—
353C2×C4⋊C4—48no—
354C2×C4⋊C4—48no—
355C2×C4⋊C4—44no—
356C2×C4⋊C4—82no—
357C2×C4⋊C4C2×D412yes—
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2×D414yes—
360C2×C4⋊C4C2×D411yescharacteristic
361C2×C4⋊C4C2414yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2411yescharacteristic
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2412yes—
367C2×C4⋊C4C2411yescharacteristic
368C2×C22⋊C4—21no—
369C2×C22⋊C4—28no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—21no—
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—48no—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C22⋊C4C2×D412yes—
387C2×C22⋊C4C2×D412yes—
388C2×C42—24no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—22no—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42—44no—
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399#107—28no—
400#107—42no—
401#107C2×D418yescomplemented
402#106—28no—
403#106—28no—
404#106—44no—
405C4⋊C8—24no—
406#103—28no—
407#103—42no—
408#103C2×D418yescomplemented
409#102—28no—
410#102—28no—
411#102—44no—
412#102—44no—
413C22⋊C8—24no—
414C22⋊C8—28no—
415C22⋊C8—22no—
416C22⋊C8—28no—
417C22⋊C8—44no—
418C22⋊C8C2×D414yes—
419C4×C8—24no—
420#95—22no—
421#95—22no—
422#95—24no—
423#95—24no—
424#95—21no—
425#95—21no—
426#95—22no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95—22no—
431C24—24no—
432C24—24no—
433C24—24no—
434C24—24no—
435C24—24no—
436C24—22no—
437C24—42no—
438C24—42no—
439C24C22×D412yes—
440C24C22×D412yes—
441C24C22×D411yescharacteristic
442#41—416no—
443#41—88no—
444C2×Q8—21no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8C22×D412yes—
448C2×D4—232no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—22no—
457C2×D4—24no—
458C2×D4—22no—
459C2×D4—24no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—42no—
472C2×D4—42no—
473C2×D4—81no—
474C2×D4—81no—
475C2×D4—82no—
476C2×D4—82no—
477C2×D4—82no—
478C2×D4—82no—
479C2×D4—82no—
480C2×D4—82no—
481C2×D4#12314yes—
482C2×D4AGL(1,ℤ/8)14yes—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—22no—
503C22×C4—24no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—22no—
510C22×C4—24no—
511C22×C4—41no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—416no—
516C22×C4—416no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—48no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—44no—
524C22×C4—42no—
525C22×C4—44no—
526C22×C4—48no—
527C22×C4—44no—
528C22×C4—48no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4—82no—
532C22×C4—84no—
533C22×C4—84no—
534C22×C4—832no—
535C22×C4#13714yes—
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D412yes—
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C2×#4118yes—
545C22×C4H(5,𝔽2)12yes—
546C22×C4C2511yescharacteristic
547M16—416no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—24no—
551C2×C8—22no—
552C2×C8—24no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—24no—
556C2×C8C22×D414yes—
557C4⋊C4—24no—
558C4⋊C4—22no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—21no—
563C4⋊C4—24no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—24no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—48no—
572C4⋊C4—48no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—42no—
577C4⋊C4—44no—
578C4⋊C4—44no—
579C4⋊C4—42no—
580C4⋊C4—81no—
581C4⋊C4—82no—
582C4⋊C4—82no—
583C4⋊C4—81no—
584C4⋊C4#12314yes—
585C4⋊C4C22×D414yes—
586C4⋊C4C22×D412yes—
587C22⋊C4—24no—
588C22⋊C4—24no—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—48no—
595C22⋊C4—48no—
596C22⋊C4—42no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4#12318yes—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—44no—
609C42—44no—
610C42—42no—
611C42—44no—
612C42—42no—
613C42C2×#4114yes—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—216no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—48no—
632C23—48no—
633C23—48no—
634C23—48no—
635C23—48no—
636C23—48no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23C2×#12314yes—
645C23D4212yes—
646C23C2×AGL(1,ℤ/8)14yes—
647C23C2×#13712yes—
648C23#57712yes—
649C23C23×D411yescharacteristic
650Q8—24no—
651Q8—42no—
652D4—216no—
653D4—28no—
654D4—28no—
655D4—44no—
656D4—44no—
657D4—88no—
658D4—88no—
659D4—88no—
660D4—84no—
661D4—162no—
662D4—164no—
663D4—164no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—28no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—28no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—24no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—48no—
687C2×C4—44no—
688C2×C4—48no—
689C2×C4—48no—
690C2×C4—48no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—41no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—41no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—88no—
715C2×C4—816no—
716C2×C4—816no—
717C2×C4—84no—
718C2×C4—88no—
719C2×C4C2×#12312yes—
720C2×C4C2×#12314yes—
721C2×C4C2×#12312yes—
722C2×C4D4212yes—
723C2×C4C2×AGL(1,ℤ/8)12yes—
724C2×C4C2×#13712yes—
725C2×C4C2×#13712yes—
726C2×C4C23×D411yescharacteristic
727C2×C4C22×#4112yes—
728C2×C4C2×H(5,𝔽2)11yescharacteristic
729C2×C4#58512yes—
730C8—24no—
731C8—44no—
732C8—42no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—24no—
740C22—24no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—432no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22#327814yes—
762C22C22×#12311yescharacteristic
763C22C2×D4211yescharacteristic
764C22#348511yescharacteristic
765C22C22×AGL(1,ℤ/8)11yescharacteristic
766C22C22×#13711yescharacteristic
767C22C2×#57711yescharacteristic
768C22#358511yescharacteristic
769C4—22no—
770C4—22no—
771C4—22no—
772C4—24no—
773C4—41no—
774C4—44no—
775C4—42no—
776C4—42no—
777C4—42no—
778C4—82no—
779C4—81no—
780C4—81no—
781C4—82no—
782C4—84no—
783C4#309214yescomplemented
784C4D4×#4112yes—
785C4#351312yes—
786C2—24no—
787C2—44no—
788C2—44no—
789C2—162no—
790C2D4×#12311yescharacteristic
791C2C2×#309211yescharacteristic
792C2#6052511yescharacteristic
793C2C2×#327811yescharacteristic
794C2D4×AGL(1,ℤ/8)11yescharacteristic
795C2#6171911yescharacteristic
796C2#6172811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36101C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3092C2semidirect
3. C2×D4×C4⋊C4C2semidirect
4. #33107C2semidirect
5. #32979C2semidirect
6. #27906C2semidirect
7. #27648C2semidirect
8. #26230C2semidirect
9. #26142C2semidirect
10. #25014C2semidirect
11. #24879C2semidirect
12. #24557C2semidirect
13. #24007C2semidirect
14. #22663C2semidirect
15. #22432C2semidirect
16. #22401C2semidirect
17. C4×#484C2semidirect
29. C2×#483C22semidirect
30. C2×#480C22semidirect
32. C2×#428C22semidirect
33. C2×#417C22semidirect
60. #2094C22semidirect
61. #2083C22semidirect
62. #2077C22semidirect
63. #2072C22semidirect
64. #2035C22semidirect
65. #2033C22semidirect
66. #2033C22semidirect
67. #1982C22semidirect
68. #1957C22semidirect
70. #1948C22semidirect
71. #1947C22semidirect
72. #1928C22semidirect
73. #1926C22semidirect
74. #1921C22semidirect
75. #1895C22semidirect
77. #1874C22semidirect
78. #1874C22semidirect
81. #1854C22semidirect
82. #1853C22semidirect
83. #1853C22semidirect
85. #1844C22semidirect
88. #1809C22semidirect
89. #1803C22semidirect
91. #1788C22semidirect
93. C4×#107C22semidirect
94. C4×#103C22semidirect
153. #484D4semidirect
401. #107C2×D4semidirect
408. #103C2×D4semidirect
783. C4#3092semidirect

Maximal subgroups

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

subgroupindex
C2×#30922
#361012
C2×D4×C4⋊C42
#331072
#329792
#279062
#276482
#262302
#261422
#250142
#248792
#245572
#240072
#226632
#224322
#224012
C4×#4842