Finite Group Databasebeta

← #6605412

Subgroups — #6605412

Order 512.

2153 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36100C211yesmaximal, characteristic
2C2×#2354C211yesmaximal, characteristic, complemented
3#33108C211yesmaximal, characteristic, complemented
4#32985C212yesmaximal, complemented
5#27972C211yesmaximal, characteristic, complemented
6#27678C211yesmaximal, characteristic, complemented
7#26231C212yesmaximal, complemented
8#26211C214yesmaximal, complemented
9#24966C212yesmaximal, complemented
10#24876C214yesmaximal, complemented
11#24551C212yesmaximal, complemented
12#24004C212yesmaximal, complemented
13#22708C212yesmaximal, complemented
14#22417C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16C4×#480C211yesmaximal, characteristic, complemented
17#20908C212yesmaximal, complemented
18C2×#547C2211yescharacteristic
19C2×#525C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×#117C2212yes—
22C2×#485C2214yescomplemented
23C2×#483C2212yes—
24C2×#480C2211yescharacteristic
25C2×C8×D4C2212yes—
26C2×#416C2214yescomplemented
27C22×C22⋊C8C2212yes—
28#2857C2211yescharacteristic
29#2848C2212yes—
30#2542C2211yescharacteristic
31#2537C2211yescharacteristic
32#2455—22no—
33#2422—21no—
34#2418—22no—
35#2415C2212yes—
36#2408—21no—
37#2407C2212yes—
38#2361—21no—
39#2354—21no—
40#2354—21no—
41#2354—22no—
42#2354C2211yescharacteristic
43#2354C2214yes—
44#2354C2212yes—
45#2354C2212yes—
46D4×C4⋊C4—21no—
47C4×#121C2211yescharacteristic
48C2×#390—21no—
49C2×#388—22no—
50C2×#384C2211yescharacteristic
51C2×#380C2212yes—
52C2×C4×C4⋊C4—21no—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2100C2212yescomplemented
55#2094C2212yescomplemented
56#2077C2214yescomplemented
57#2072C2214yescomplemented
58#2036C2214yescomplemented
59#2035C2214yescomplemented
60#2034C2214yescomplemented
61#1981C2212yescomplemented
62#1956C2212yescomplemented
63#1954C2212yes—
64#1948C2212yescomplemented
65#1948C2212yescomplemented
66#1927C2214yescomplemented
67#1925C2212yescomplemented
68#1918C2212yescomplemented
69#1892C2214yescomplemented
70#1875C2214yescomplemented
71#1874C2212yes—
72#1874C2211yescharacteristic
73#1873C2214yescomplemented
74#1873C2214yescomplemented
75#1872C2212yes—
76#1872C2212yes—
77#1872C2212yes—
78#1869C2214yes—
79#1854C2214yescomplemented
80#1854C2214yescomplemented
81#1853C2212yes—
82#1852C2211yescharacteristic
83#1834C2212yescomplemented
84#1825C2214yescomplemented
85#1823C2211yescharacteristic
86#1807C2214yescomplemented
87#1802C2212yescomplemented
88#1797C2211yescharacteristic
89#1788C2214yescomplemented
90#1779C2212yes—
91C4×#107C2212yescomplemented
92C4×#102C2212yescomplemented
93C4×C22⋊C8C2211yescharacteristic
94#1735C2214yescomplemented
95C22×#41C2312yes—
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C23×C8C2314yes—
99#547—28no—
100C2×C4⋊Q8C2311yescharacteristic
101#525—28no—
102#525—44no—
103C2×#123—22no—
104C2×#123—22no—
105C2×C22⋊Q8C2312yes—
106C2×C22⋊Q8C2312yes—
107C2×C22⋊Q8C2312yes—
108C2×C22⋊Q8C2312yes—
109C2×#121—21no—
110C2×#121—21no—
111C2×#121C2312yes—
112C2×#121C2311yescharacteristic
113C2×#120—22no—
114C2×C4×D4—28no—
115C2×C4×D4—21no—
116C2×C4×D4—22no—
117C2×C4×D4—22no—
118C2×C4×D4D411yescharacteristic
119C2×C4×D4D411yescharacteristic
120C2×C4×D4D412yes—
121C2×C4×D4C2311yescharacteristic
122C2×C4×D4C2312yes—
123C2×C4×D4C2311yescharacteristic
124C2×C4×D4C2311yescharacteristic
125C2×#117—22no—
126C2×#117—22no—
127C2×#117—48no—
128C2×#117C2314yes—
129C2×#117C2314yes—
130C2×#117C2312yes—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2312yes—
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4D412yes—
141C22×C42—22no—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144#485—48no—
145#483—44no—
146#480—24no—
147C8×D4—28no—
148C2×#107C2312yes—
149C2×#107C2312yes—
150C2×#106C2314yes—
151C2×#106C2314yes—
152C2×C4⋊C8C2312yes—
153#416—48no—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#102C2312yes—
159C2×#102C2312yes—
160C2×#102C2314yes—
161C2×C22⋊C8—44no—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2311yescharacteristic
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2314yes—
168C2×C4×C8C2312yes—
169#399—22no—
170#397—22no—
171#394—22no—
172#394—22no—
173#394—22no—
174#392—22no—
175#391C2312yes—
176#390—22no—
177#390—24no—
178#390—22no—
179#390—21no—
180#390—21no—
181#390C2311yescharacteristic
182#389—22no—
183#389—21no—
184#389—21no—
185#389C2311yescharacteristic
186#388—24no—
187#388—24no—
188#388—24no—
189#388—24no—
190#388—22no—
191#388—22no—
192#388—21no—
193#386—21no—
194#386—22no—
195#385—22no—
196#385—22no—
197#385—22no—
198#385—22no—
199#384—21no—
200#384—21no—
201#384—21no—
202#384C2312yes—
203#384C2312yes—
204#384C2311yescharacteristic
205#380—21no—
206#380—21no—
207#380—22no—
208#380—22no—
209#380—21no—
210#380C2312yes—
211#380C2314yes—
212#380C2312yes—
213#380C2314yes—
214#380C2311yescharacteristic
215#379—22no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—22no—
218C4×C4⋊C4—24no—
219C4×C4⋊C4—22no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2311yescharacteristic
225C4×C22⋊C4—21no—
226C2×#95—22no—
227C2×#95—21no—
228#340C2314yes—
229#340C2312yes—
230#340C2314yes—
231#340C2314yes—
232#340C2312yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2312yes—
237#336C2312yes—
238#336C2312yes—
239C25C2×D412yes—
240C2×#41—24no—
241C2×#41—28no—
242C2×#41—42no—
243C2×#41—44no—
244C22×Q8C2412yes—
245C22×D4—21no—
246C22×D4—24no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—24no—
250C22×D4—42no—
251C22×D4C2×D411yescharacteristic
252C22×D4C2×D412yes—
253C22×D4C2×D411yescharacteristic
254C22×D4C2411yescharacteristic
255C23×C4—21no—
256C23×C4—28no—
257C23×C4—24no—
258C23×C4—24no—
259C23×C4—22no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—22no—
263C23×C4—44no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D412yes—
266C23×C4C2×D412yes—
267C23×C4C2×D412yes—
268C23×C4C2×D411yescharacteristic
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2411yescharacteristic
272C22×C8—28no—
273C22×C8—44no—
274C22×C8—44no—
275C22×C8C2412yes—
276C22×C8C2414yes—
277C22×C8C2412yes—
278C4⋊Q8—24no—
279#123—48no—
280#123—48no—
281C22⋊Q8—24no—
282C22⋊Q8—28no—
283C22⋊Q8—24no—
284C22⋊Q8—24no—
285C22⋊Q8—42no—
286C22⋊Q8—44no—
287#121—22no—
288#121—24no—
289#121—42no—
290#121—44no—
291#121—44no—
292#121#4114yes—
293#120—48no—
294C4×D4—24no—
295C4×D4—28no—
296C4×D4—24no—
297C4×D4—28no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—48no—
301C4×D4—48no—
302C4×D4—44no—
303C4×D4#4118yes—
304#117—24no—
305#117—28no—
306#117—28no—
307#117—44no—
308#117—44no—
309#117—42no—
310#117—48no—
311#117—48no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—82no—
336C2×C4⋊C4C2×D411yescharacteristic
337C2×C4⋊C4C2×D412yes—
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2414yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2411yescharacteristic
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2412yes—
346C2×C22⋊C4—21no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—48no—
365C2×C22⋊C4—84no—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—22no—
374C2×C42—21no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—48no—
378C2×C42—44no—
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2411yescharacteristic
382C2×C42C2411yescharacteristic
383#107—24no—
384#107—24no—
385#106—44no—
386#106—44no—
387C4⋊C8—24no—
388#103—28no—
389#103—44no—
390#103—44no—
391#103—44no—
392#102—24no—
393#102—24no—
394#102—44no—
395C22⋊C8—28no—
396C22⋊C8—22no—
397C22⋊C8—22no—
398C22⋊C8—24no—
399C22⋊C8—44no—
400C22⋊C8—44no—
401C4×C8—24no—
402#95—24no—
403#95—24no—
404#95—22no—
405#95—22no—
406#95—21no—
407#95—21no—
408#95—22no—
409#95—21no—
410#95—22no—
411#95—22no—
412#95—22no—
413C24—24no—
414C24—21no—
415C24—24no—
416C24—24no—
417C24—24no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24C22×D412yes—
422C24C22×D412yes—
423C24C22×D411yescharacteristic
424#41—416no—
425#41—88no—
426C2×Q8—22no—
427C2×Q8—24no—
428C2×Q8—24no—
429C2×Q8—22no—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—24no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—21no—
441C2×D4—416no—
442C2×D4—42no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—82no—
450C2×D4—82no—
451C2×D4#12314yes—
452C2×D4C2×#4112yes—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—41no—
485C22×C4—416no—
486C22×C4—416no—
487C22×C4—44no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—82no—
501C22×C4#13514yes—
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C2×#4118yes—
510C22×C4C2×#4112yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C4C2511yescharacteristic
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—24no—
517C2×C8—22no—
518C2×C8—24no—
519C2×C8—22no—
520C2×C8—24no—
521C2×C8—22no—
522C2×C8—88no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—22no—
526C4⋊C4—22no—
527C4⋊C4—21no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—44no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C4⋊C4—42no—
540C4⋊C4—44no—
541C4⋊C4—42no—
542C4⋊C4—42no—
543C4⋊C4—44no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—82no—
549C4⋊C4—82no—
550C4⋊C4—82no—
551C4⋊C4#12314yes—
552C4⋊C4C2×#4112yes—
553C4⋊C4H(5,𝔽2)14yes—
554C22⋊C4—24no—
555C22⋊C4—24no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—48no—
559C22⋊C4—48no—
560C22⋊C4—44no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—42no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—81no—
570C22⋊C4—82no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—82no—
574C22⋊C4#12318yes—
575C42—22no—
576C42—22no—
577C42—22no—
578C42—48no—
579C42—48no—
580C42—44no—
581C42—44no—
582C42—44no—
583C42—42no—
584C42C2×#4114yes—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—48no—
604C23—48no—
605C23—48no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—48no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23C2×#12314yes—
617C23#54612yes—
618C23C2×#13512yes—
619C23#57712yes—
620C23C23×D411yescharacteristic
621Q8—44no—
622Q8—44no—
623D4—28no—
624D4—24no—
625D4—48no—
626D4—48no—
627D4—44no—
628D4—42no—
629D4—88no—
630D4—88no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—28no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—28no—
643C2×C4—24no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—24no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—48no—
653C2×C4—44no—
654C2×C4—48no—
655C2×C4—48no—
656C2×C4—48no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—88no—
682C2×C4—88no—
683C2×C4—84no—
684C2×C4—84no—
685C2×C4C2×#12312yes—
686C2×C4C2×#12314yes—
687C2×C4C2×#12312yes—
688C2×C4#54612yes—
689C2×C4C2×#13512yes—
690C2×C4C2×#13512yes—
691C2×C4#57512yes—
692C2×C4C22×#4111yescharacteristic
693C2×C4C22×#4112yes—
694C2×C4C2×H(5,𝔽2)12yes—
695C2×C4C2×H(5,𝔽2)11yescharacteristic
696C8—42no—
697C8—44no—
698C8—42no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—24no—
706C22—24no—
707C22—24no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—816no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22#330314yes—
728C22C22×#12311yescharacteristic
729C22C2×#54611yescharacteristic
730C22#348411yescharacteristic
731C22C22×#13511yescharacteristic
732C22C2×#57511yescharacteristic
733C22C2×#57711yescharacteristic
734C22#358611yescharacteristic
735C4—22no—
736C4—22no—
737C4—22no—
738C4—24no—
739C4—41no—
740C4—44no—
741C4—42no—
742C4—42no—
743C4—81no—
744C4—81no—
745C4—82no—
746C4—84no—
747C4—82no—
748C4—82no—
749C4#309114yes—
750C4#348112yes—
751C4#351912yes—
752C2—24no—
753C2—44no—
754C2—82no—
755C2—82no—
756C2#3623611yescharacteristic
757C2C2×#309111yescharacteristic
758C2#6052211yescharacteristic
759C2C2×#330311yescharacteristic
760C2#6116511yescharacteristic
761C2#6156511yescharacteristic
762C2#6159611yescharacteristic
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
2. C2×#2354C2semidirect
3. #33108C2semidirect
4. #32985C2semidirect
5. #27972C2semidirect
6. #27678C2semidirect
7. #26231C2semidirect
8. #26211C2semidirect
9. #24966C2semidirect
10. #24876C2semidirect
11. #24551C2semidirect
12. #24004C2semidirect
13. #22708C2semidirect
14. #22417C2semidirect
15. D4×C22⋊C8C2semidirect
16. C4×#480C2semidirect
17. #20908C2semidirect
22. C2×#485C22semidirect
26. C2×#416C22semidirect
54. #2100C22semidirect
55. #2094C22semidirect
56. #2077C22semidirect
57. #2072C22semidirect
58. #2036C22semidirect
59. #2035C22semidirect
60. #2034C22semidirect
61. #1981C22semidirect
62. #1956C22semidirect
64. #1948C22semidirect
65. #1948C22semidirect
66. #1927C22semidirect
67. #1925C22semidirect
68. #1918C22semidirect
69. #1892C22semidirect
70. #1875C22semidirect
73. #1873C22semidirect
74. #1873C22semidirect
79. #1854C22semidirect
80. #1854C22semidirect
83. #1834C22semidirect
84. #1825C22semidirect
86. #1807C22semidirect
87. #1802C22semidirect
89. #1788C22semidirect
91. C4×#107C22semidirect
92. C4×#102C22semidirect
94. #1735C22semidirect

Maximal subgroups

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

subgroupindex
#361002
C2×#23542
#331082
#329852
#279722
#276782
#262312
#262112
#249662
#248762
#245512
#240042
#227082
#224172
D4×C22⋊C82
C4×#4802
#209082