Finite Group Databasebeta

← #6574892

Subgroups — #6574892

Order 512.

2545 conjugacy classes of subgroups.

The subgroup lattice has 787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3092C212yesmaximal, complemented
2#36100C211yesmaximal, characteristic
3C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
4#33109C211yesmaximal, characteristic, complemented
5#32983C212yesmaximal, complemented
6#27910C211yesmaximal, characteristic, complemented
7#27645C211yesmaximal, characteristic, complemented
8#26234C212yesmaximal, complemented
9#26144C214yesmaximal, complemented
10#25010C212yesmaximal, complemented
11#24877C214yesmaximal, complemented
12#24556C212yesmaximal, complemented
13#24007C212yesmaximal, complemented
14#22665C212yesmaximal, complemented
15#22431C212yesmaximal, complemented
16#22401C211yesmaximal, characteristic, complemented
17C4×#481C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#525C2212yes—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23#3092—216no—
24C2×#484C2212yes—
25C2×#484C2212yes—
26C2×#484C2212yes—
27C2×#481C2212yes—
28C2×#481C2211yescharacteristic
29C2×#483C2214yescomplemented
30C2×#480C2214yescomplemented
31C2×#436C2212yes—
32C2×#428C2214yescomplemented
33C2×#417C2214yescomplemented
34C2×#407C2212yes—
35#2857C2211yescharacteristic
36#2848C2212yes—
37#2542C2211yescharacteristic
38#2537C2211yescharacteristic
39#2455—22no—
40#2422—21no—
41#2418—22no—
42#2415C2212yes—
43#2408—21no—
44#2407C2212yes—
45#2361—21no—
46#2354C2211yescharacteristic
47D4×C4⋊C4—21no—
48D4×C4⋊C4—21no—
49D4×C4⋊C4—22no—
50D4×C4⋊C4—21no—
51D4×C4⋊C4C2214yes—
52D4×C4⋊C4C2212yes—
53D4×C4⋊C4C2212yes—
54C4×#121C2211yescharacteristic
55C2×#389—21no—
56C2×#385—22no—
57C2×#384C2211yescharacteristic
58C2×#380C2212yes—
59C2×C4×C4⋊C4C2211yescharacteristic
60#2095C2214yescomplemented
61#2084C2212yescomplemented
62#2075C2214yescomplemented
63#2071C2212yescomplemented
64#2035C2214yescomplemented
65#2035C2214yescomplemented
66#2033C2214yescomplemented
67#1981C2212yescomplemented
68#1956C2212yescomplemented
69#1954C2212yes—
70#1948C2212yescomplemented
71#1947C2212yescomplemented
72#1928C2214yescomplemented
73#1926C2212yescomplemented
74#1919C2212yescomplemented
75#1894C2214yescomplemented
76#1874C2211yescharacteristic
77#1872C2212yes—
78#1872C2214yescomplemented
79#1872C2214yescomplemented
80#1870C2214yes—
81#1854C2214yescomplemented
82#1853C2211yescharacteristic
83#1852C2214yescomplemented
84#1852C2214yescomplemented
85#1845C2212yescomplemented
86#1824C2211yescharacteristic
87#1824C2212yes—
88#1809C2214yescomplemented
89#1802C2212yescomplemented
90#1797C2211yescharacteristic
91#1788C2214yescomplemented
92#1779C2212yes—
93C4×#106C2212yescomplemented
94C4×#102C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C22×#41C2312yes—
97C23×D4D411yescharacteristic
98C24×C4—22no—
99C24×C4C2312yes—
100C22×M16C2314yes—
101#547—28no—
102C2×C4⋊Q8C2311yescharacteristic
103#525—28no—
104#525—44no—
105C2×#123—22no—
106C2×#123—22no—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×#121—21no—
112C2×#121—21no—
113C2×#121C2312yes—
114C2×#121C2311yescharacteristic
115C2×#120—22no—
116C2×C4×D4—28no—
117C2×C4×D4—24no—
118C2×C4×D4—22no—
119C2×C4×D4—22no—
120C2×C4×D4—21no—
121C2×C4×D4—22no—
122C2×C4×D4—22no—
123C2×C4×D4—48no—
124C2×C4×D4D411yescharacteristic
125C2×C4×D4D411yescharacteristic
126C2×C4×D4D412yes—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2312yes—
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×#117C2312yes—
132C22×C4⋊C4—28no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—22no—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—44no—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2314yes—
143C22×C4⋊C4C2314yes—
144C22×C4⋊C4C2311yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C22⋊C4—22no—
147C22×C22⋊C4D412yes—
148C22×C42—21no—
149C22×C42C2311yescharacteristic
150#484—28no—
151#484—28no—
152#484—44no—
153#483—216no—
154#481—28no—
155#481D418yescomplemented
156#480—216no—
157#436—28no—
158#428—216no—
159C2×#107C2314yes—
160C2×#107C2314yes—
161C2×#107C2314yes—
162C2×#106C2314yes—
163C2×#106C2312yes—
164C2×#106C2312yes—
165C2×C4⋊C8C2312yes—
166#417—216no—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#102C2314yes—
172C2×#102C2312yes—
173C2×#102C2312yes—
174#407—28no—
175C2×C22⋊C8C2312yes—
176C2×C22⋊C8C2314yes—
177C2×C22⋊C8C2311yescharacteristic
178C2×C22⋊C8C2314yes—
179C2×C22⋊C8C2314yes—
180C2×C22⋊C8C2311yescharacteristic
181C2×C4×C8C2312yes—
182#399—22no—
183#397—22no—
184#394—22no—
185#394—22no—
186#394—22no—
187#392—22no—
188#391C2312yes—
189#390—21no—
190#390—21no—
191#390C2311yescharacteristic
192#389—22no—
193#389—24no—
194#389—22no—
195#389—22no—
196#389—21no—
197#389—21no—
198#389C2311yescharacteristic
199#388—22no—
200#388—22no—
201#388—21no—
202#386—21no—
203#386—22no—
204#385—22no—
205#385—22no—
206#385—22no—
207#385—22no—
208#385—24no—
209#385—24no—
210#385—24no—
211#385—24no—
212#384—21no—
213#384—21no—
214#384—21no—
215#384C2312yes—
216#384C2312yes—
217#384C2311yescharacteristic
218#380—21no—
219#380—21no—
220#380—22no—
221#380—22no—
222#380—21no—
223#380C2312yes—
224#380C2314yes—
225#380C2312yes—
226#380C2314yes—
227#380C2311yescharacteristic
228#379—22no—
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×Q8C2412yes—
253C22×D4—24no—
254C22×D4—24no—
255C22×D4—21no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—24no—
259C22×D4C2×D412yes—
260C22×D4C2×D411yescharacteristic
261C22×D4C2×D411yescharacteristic
262C22×D4C2411yescharacteristic
263C23×C4—21no—
264C23×C4—24no—
265C23×C4—28no—
266C23×C4—24no—
267C23×C4—21no—
268C23×C4—22no—
269C23×C4—24no—
270C23×C4—24no—
271C23×C4—21no—
272C23×C4—22no—
273C23×C4—44no—
274C23×C4—48no—
275C23×C4—48no—
276C23×C4—84no—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D412yes—
279C23×C4C2×D412yes—
280C23×C4C2×D412yes—
281C23×C4C2×D411yescharacteristic
282C23×C4C2412yes—
283C23×C4C2411yescharacteristic
284C23×C4C2412yes—
285C2×M16—28no—
286C2×M16—28no—
287C2×M16—44no—
288C22×C8C2414yes—
289C22×C8C2412yes—
290C22×C8C2412yes—
291C4⋊Q8—24no—
292#123—48no—
293#123—48no—
294C22⋊Q8—24no—
295C22⋊Q8—28no—
296C22⋊Q8—24no—
297C22⋊Q8—24no—
298C22⋊Q8—42no—
299C22⋊Q8—44no—
300#121—22no—
301#121—24no—
302#121—42no—
303#121—44no—
304#121—44no—
305#121C2×D414yes—
306#120—48no—
307C4×D4—24no—
308C4×D4—28no—
309C4×D4—24no—
310C4×D4—28no—
311C4×D4—24no—
312C4×D4—24no—
313C4×D4—48no—
314C4×D4—48no—
315C4×D4—416no—
316C4×D4—48no—
317C4×D4—48no—
318C4×D4—44no—
319C4×D4#4118yes—
320#117—24no—
321#117—42no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—28no—
328C2×C4⋊C4—28no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—48no—
350C2×C4⋊C4—48no—
351C2×C4⋊C4—48no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4—82no—
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D412yes—
357C2×C4⋊C4C2×D414yes—
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2411yescharacteristic
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2411yescharacteristic
366C2×C22⋊C4—21no—
367C2×C22⋊C4—28no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—21no—
382C2×C22⋊C4—48no—
383C2×C22⋊C4C2×D412yes—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C22⋊C4C2×D412yes—
387C2×C42—24no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—22no—
391C2×C42—21no—
392C2×C42—44no—
393C2×C42C2×D411yescharacteristic
394C2×C42C2×D411yescharacteristic
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397#107—28no—
398#107—28no—
399#107—44no—
400#106—28no—
401#106—42no—
402#106C2×D418yescomplemented
403C4⋊C8—24no—
404#103—28no—
405#103—28no—
406#103—44no—
407#103—44no—
408#102—28no—
409#102—42no—
410#102C2×D418yescomplemented
411C22⋊C8—24no—
412C22⋊C8—28no—
413C22⋊C8—22no—
414C22⋊C8—28no—
415C22⋊C8—44no—
416C22⋊C8C2×D414yes—
417C4×C8—24no—
418#95—22no—
419#95—22no—
420#95—24no—
421#95—24no—
422#95—21no—
423#95—21no—
424#95—22no—
425#95—21no—
426#95—22no—
427#95—22no—
428#95—22no—
429C24—24no—
430C24—24no—
431C24—24no—
432C24—24no—
433C24—24no—
434C24—21no—
435C24—42no—
436C24—42no—
437C24C22×D412yes—
438C24C22×D412yes—
439C24C22×D411yescharacteristic
440#41—416no—
441#41—88no—
442C2×Q8—22no—
443C2×Q8—24no—
444C2×Q8—22no—
445C2×Q8—24no—
446C2×D4—232no—
447C2×D4—24no—
448C2×D4—24no—
449C2×D4—24no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—22no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—21no—
457C2×D4—22no—
458C2×D4—42no—
459C2×D4—42no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—82no—
465C2×D4—82no—
466C2×D4#12314yes—
467C2×D4AGL(1,ℤ/8)14yes—
468C2×D4C22×D412yes—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—24no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—24no—
497C22×C4—41no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—416no—
502C22×C4—416no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—44no—
510C22×C4—42no—
511C22×C4—44no—
512C22×C4—48no—
513C22×C4—44no—
514C22×C4—48no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—44no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—82no—
521C22×C4—84no—
522C22×C4—84no—
523C22×C4—832no—
524C22×C4#13714yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D412yes—
527C22×C4C22×D412yes—
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D412yes—
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4118yes—
534C22×C4H(5,𝔽2)12yes—
535C22×C4C2511yescharacteristic
536M16—416no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—24no—
540C2×C8—22no—
541C2×C8—24no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—24no—
545C2×C8C22×D414yes—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—48no—
560C4⋊C4—48no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—81no—
573C4⋊C4—82no—
574C4⋊C4—82no—
575C4⋊C4—82no—
576C4⋊C4#12314yes—
577C4⋊C4C22×D414yes—
578C4⋊C4C22×D412yes—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—48no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—44no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C22⋊C4—42no—
594C22⋊C4—81no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4#12318yes—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—44no—
602C42—44no—
603C42—44no—
604C42—42no—
605C42C2×#4114yes—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—216no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—48no—
625C23—48no—
626C23—48no—
627C23—48no—
628C23—48no—
629C23—48no—
630C23—41no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23C2×#12314yes—
637C23D4212yes—
638C23C2×AGL(1,ℤ/8)14yes—
639C23C2×#13712yes—
640C23#57812yes—
641C23C23×D411yescharacteristic
642Q8—44no—
643Q8—44no—
644D4—216no—
645D4—28no—
646D4—28no—
647D4—24no—
648D4—48no—
649D4—42no—
650D4—88no—
651D4—88no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—28no—
661C2×C4—28no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—28no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—24no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—48no—
674C2×C4—44no—
675C2×C4—48no—
676C2×C4—48no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—41no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—42no—
702C2×C4—88no—
703C2×C4—816no—
704C2×C4—816no—
705C2×C4—84no—
706C2×C4—88no—
707C2×C4—84no—
708C2×C4C2×#12312yes—
709C2×C4C2×#12314yes—
710C2×C4C2×#12312yes—
711C2×C4D4212yes—
712C2×C4C2×AGL(1,ℤ/8)12yes—
713C2×C4C2×#13712yes—
714C2×C4C2×#13712yes—
715C2×C4C23×D411yescharacteristic
716C2×C4C22×#4112yes—
717C2×C4C2×H(5,𝔽2)11yescharacteristic
718C2×C4#58512yes—
719C8—24no—
720C8—44no—
721C8—42no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—24no—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—432no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—81no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22#327614yes—
751C22C22×#12311yescharacteristic
752C22C2×D4211yescharacteristic
753C22#348511yescharacteristic
754C22C22×AGL(1,ℤ/8)11yescharacteristic
755C22C22×#13711yescharacteristic
756C22C2×#57811yescharacteristic
757C22#358511yescharacteristic
758C4—22no—
759C4—22no—
760C4—22no—
761C4—24no—
762C4—42no—
763C4—41no—
764C4—44no—
765C4—42no—
766C4—81no—
767C4—82no—
768C4—81no—
769C4—84no—
770C4—82no—
771C4—82no—
772C4#309214yescomplemented
773C4D4×#4112yes—
774C4#351312yes—
775C2—24no—
776C2—44no—
777C2—44no—
778C2—82no—
779C2D4×#12311yescharacteristic
780C2C2×#309211yescharacteristic
781C2#6052611yescharacteristic
782C2C2×#327611yescharacteristic
783C2D4×AGL(1,ℤ/8)11yescharacteristic
784C2#6171911yescharacteristic
785C2#6173711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36100C2
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. #33109C2semidirect
5. #32983C2semidirect
6. #27910C2semidirect
7. #27645C2semidirect
8. #26234C2semidirect
9. #26144C2semidirect
10. #25010C2semidirect
11. #24877C2semidirect
12. #24556C2semidirect
13. #24007C2semidirect
14. #22665C2semidirect
15. #22431C2semidirect
16. #22401C2semidirect
17. C4×#481C2semidirect
29. C2×#483C22semidirect
30. C2×#480C22semidirect
32. C2×#428C22semidirect
33. C2×#417C22semidirect
60. #2095C22semidirect
61. #2084C22semidirect
62. #2075C22semidirect
63. #2071C22semidirect
64. #2035C22semidirect
65. #2035C22semidirect
66. #2033C22semidirect
67. #1981C22semidirect
68. #1956C22semidirect
70. #1948C22semidirect
71. #1947C22semidirect
72. #1928C22semidirect
73. #1926C22semidirect
74. #1919C22semidirect
75. #1894C22semidirect
78. #1872C22semidirect
79. #1872C22semidirect
81. #1854C22semidirect
83. #1852C22semidirect
84. #1852C22semidirect
85. #1845C22semidirect
88. #1809C22semidirect
89. #1802C22semidirect
91. #1788C22semidirect
93. C4×#106C22semidirect
94. C4×#102C22semidirect
155. #481D4semidirect
402. #106C2×D4semidirect
410. #102C2×D4semidirect
772. C4#3092semidirect

Maximal subgroups

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

subgroupindex
C2×#30922
#361002
C2×D4×C4⋊C42
#331092
#329832
#279102
#276452
#262342
#261442
#250102
#248772
#245562
#240072
#226652
#224312
#224012
C4×#4812