Finite Group Databasebeta

← #6469844

Subgroups — #6469844

Order 512.

1730 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36645C211yesmaximal, characteristic, complemented
2C4×#529C211yesmaximal, characteristic
3#29574C212yesmaximal, complemented
4#29573C212yesmaximal, complemented
5#29225C211yesmaximal, characteristic, complemented
6#28726C211yesmaximal, characteristic, complemented
7#28694C211yesmaximal, characteristic, complemented
8#28520C211yesmaximal, characteristic, complemented
9#27883C212yesmaximal, complemented
10#25679C212yesmaximal
11#24703C212yesmaximal, complemented
12#24700C212yesmaximal
13#23762C212yesmaximal, complemented
14#23760C212yesmaximal
15#21731C212yesmaximal, complemented
16#21655C212yesmaximal, complemented
17#21615C212yesmaximal, complemented
18#21613C212yesmaximal, complemented
19#20463C211yesmaximal, characteristic, complemented
20C2×#533—21no—
21C2×#529C2211yescharacteristic
22C2×#501C2212yes—
23C2×#489C2212yes—
24C2×#475C2212yes—
25C2×#474C2212yes—
26C2×#431C2212yes—
27#2868C2211yescharacteristic
28#2868C2211yescharacteristic
29#2862—21no—
30#2859—21no—
31#2859C2212yes—
32#2857—21no—
33#2857—21no—
34#2857C2212yes—
35#2857C2212yes—
36C4×C4⋊Q8—21no—
37C4×C4⋊Q8—21no—
38C4×C4⋊Q8C2212yes—
39C4×C4⋊Q8C2212yes—
40C4×#125C2211yescharacteristic
41C4×#125C2211yescharacteristic
42C4×#126—21no—
43C4×#126—21no—
44C4×#124C2211yescharacteristic
45C4×#124C2211yescharacteristic
46C4×C22⋊Q8C2211yescharacteristic
47C4×C22⋊Q8C2211yescharacteristic
48C4×#123—21no—
49C4×#123—21no—
50C4×#121C2211yescharacteristic
51C4×#121C2211yescharacteristic
52#2298—21no—
53#2295C2211yescharacteristic
54#2293C2211yescharacteristic
55#2290—21no—
56#2285—21no—
57#2285C2212yes—
58#2283C2211yescharacteristic
59C42×Q8C2211yescharacteristic
60C42×D4—21no—
61C42×D4C2211yescharacteristic
62C4×#117—21no—
63C2×C43C2211yescharacteristic
64#2100C2212yes—
65#2100C2212yes—
66#2095C2212yes—
67#2094C2212yes—
68#2084C2212yes—
69#2083C2212yes—
70#2077C2214yes—
71#2075C2214yes—
72#2072C2212yes—
73#2071C2212yes—
74#2035C2214yes—
75#2033C2214yes—
76#1993C2212yes—
77#1993C2212yes—
78#1992C2212yes—
79#1988C2212yes—
80#1988C2212yes—
81#1959C2212yes—
82#1948C2212yes—
83#1947C2212yes—
84#1942C2214yes—
85#1941C2214yes—
86#1934C2214yes—
87#1933C2214yes—
88#1921C2214yes—
89#1920C2214yes—
90#1864C2214yes—
91#1863C2214yes—
92#1847C2212yes—
93#1836C2212yes—
94#1803C2212yes—
95#1802C2212yes—
96#1776C2214yes—
97#1776C2214yes—
98#1767C2211yescharacteristic
99#1767C2211yescharacteristic
100#1767C2212yes—
101#1763C2214yes—
102#1762C2214yes—
103#1749C2212yes—
104#1749C2212yes—
105#1744C2212yes—
106C4×#97C2212yes—
107#533—48no—
108C2×C4⋊Q8—21no—
109C2×C4⋊Q8—21no—
110C2×C4⋊Q8—21no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8C2312yes—
113C2×C4⋊Q8C2312yes—
114#529—24no—
115#529—24no—
116C2×#126—21no—
117C2×#125—22no—
118C2×#125C2311yescharacteristic
119C2×#124C2311yescharacteristic
120C2×#123—21no—
121C2×C22⋊Q8—22no—
122C2×C22⋊Q8—22no—
123C2×C22⋊Q8C2311yescharacteristic
124C2×#121C2311yescharacteristic
125C2×C4×Q8—22no—
126C2×C4×Q8—22no—
127C2×C4×Q8C2311yescharacteristic
128C2×C4×Q8C2311yescharacteristic
129C2×C4×Q8C2311yescharacteristic
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2311yescharacteristic
136C2×#117—22no—
137C2×#117—21no—
138C2×#117—21no—
139C22×C42—21no—
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42D411yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147#501—28no—
148#489—28no—
149#475—28no—
150#474—28no—
151#431—28no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#106C2314yes—
155C2×#106C2314yes—
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2312yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×C22⋊C8C2314yes—
163C2×#97C2312yes—
164C2×#97C2312yes—
165C2×#97C2314yes—
166C2×C4×C8C2314yes—
167#391—22no—
168#391—22no—
169#391—22no—
170#391—22no—
171#391C2311yescharacteristic
172#391C2311yescharacteristic
173#390C2311yescharacteristic
174#390C2311yescharacteristic
175#389—22no—
176#389—22no—
177#389—22no—
178#389—22no—
179#389—22no—
180#389—22no—
181#389C2311yescharacteristic
182#389C2311yescharacteristic
183#389C2311yescharacteristic
184#389C2311yescharacteristic
185#389C2314yes—
186#389C2314yes—
187#388—21no—
188#388—21no—
189#388—21no—
190#388—21no—
191#388—21no—
192#388—21no—
193#388—21no—
194#388—21no—
195#387—21no—
196#387—21no—
197#387—21no—
198#387—21no—
199#387—21no—
200#387—21no—
201#387—21no—
202#387—21no—
203#386—21no—
204#386—21no—
205#385—21no—
206#385—21no—
207#384—21no—
208#384—21no—
209#384—21no—
210#384—21no—
211#384C2312yes—
212#384C2312yes—
213#384C2312yes—
214#384C2312yes—
215#383—21no—
216#382—22no—
217#382—22no—
218#382C2311yescharacteristic
219#382C2311yescharacteristic
220#381—21no—
221#380—22no—
222#380—22no—
223#380—22no—
224#380C2311yescharacteristic
225#380C2314yes—
226#380C2311yescharacteristic
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—22no—
236C4×C4⋊C4—22no—
237C4×C4⋊C4—22no—
238C4×C4⋊C4—21no—
239C4×C4⋊C4—21no—
240C4×C4⋊C4C2311yescharacteristic
241C4×C4⋊C4C2311yescharacteristic
242C4×C4⋊C4C2311yescharacteristic
243C4×C4⋊C4C2311yescharacteristic
244C4×C4⋊C4C2314yes—
245C4×C4⋊C4C2311yescharacteristic
246C4×C4⋊C4C2311yescharacteristic
247C4×C22⋊C4—21no—
248C4×C22⋊C4—21no—
249C4×C22⋊C4—21no—
250C4×C22⋊C4—21no—
251C4×C22⋊C4—21no—
252C4×C22⋊C4—21no—
253C4×C22⋊C4—21no—
254C4×C22⋊C4—21no—
255C4×C22⋊C4—21no—
256C4×C22⋊C4—21no—
257C4×C22⋊C4—21no—
258C4×C22⋊C4—21no—
259C4×C22⋊C4—21no—
260#376—21no—
261#376—21no—
262C43—21no—
263C43D411yescharacteristic
264C43D411yescharacteristic
265C43D411yescharacteristic
266C43D411yescharacteristic
267C43C2311yescharacteristic
268C43C2311yescharacteristic
269C43C2311yescharacteristic
270C43C2311yescharacteristic
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#340C2314yes—
275#340C2314yes—
276#340C2314yes—
277#340C2314yes—
278#340C2314yes—
279#336C2312yes—
280#336C2312yes—
281#336C2314yes—
282C22×Q8—22no—
283C22×Q8—22no—
284C22×Q8C2411yescharacteristic
285C22×D4—21no—
286C22×D4C2411yescharacteristic
287C23×C4—21no—
288C23×C4—21no—
289C23×C4—21no—
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C22×C8C2414yes—
298C22×C8C2414yes—
299C4⋊Q8—24no—
300C4⋊Q8—24no—
301C4⋊Q8—24no—
302C4⋊Q8—24no—
303C4⋊Q8—44no—
304C4⋊Q8—44no—
305C4⋊Q8—44no—
306C4⋊Q8—44no—
307#126—28no—
308#125—22no—
309#125—48no—
310#125#4114yes—
311#124—22no—
312#124#4114yes—
313#123—28no—
314C22⋊Q8—22no—
315C22⋊Q8—22no—
316C22⋊Q8—48no—
317C22⋊Q8—48no—
318#121—22no—
319#121—22no—
320C4×Q8—22no—
321C4×Q8—22no—
322C4×Q8—24no—
323C4×Q8—24no—
324C4×Q8—48no—
325C4×Q8—48no—
326C4×D4—28no—
327C4×D4—22no—
328C4×D4—22no—
329C4×D4—24no—
330C4×D4—24no—
331C4×D4—44no—
332C4×D4—44no—
333#117—28no—
334#117—48no—
335#117—44no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
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⋊C4C2411yescharacteristic
359C2×C4⋊C4C2411yescharacteristic
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2414yes—
363C2×C4⋊C4C2414yes—
364C2×C4⋊C4C2411yescharacteristic
365C2×C4⋊C4C2411yescharacteristic
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C42—24no—
381C2×C42—21no—
382C2×C42—24no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—24no—
386C2×C42—24no—
387C2×C42—24no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—21no—
394C2×C42—21no—
395C2×C42—21no—
396C2×C42—42no—
397C2×C42—42no—
398C2×C42—44no—
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×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2×D411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C2×C42C2411yescharacteristic
427#107—28no—
428#107—28no—
429#106—28no—
430#106—28no—
431C4⋊C8—24no—
432C4⋊C8#4118yes—
433#103—28no—
434#103—28no—
435#102—28no—
436#102—28no—
437C22⋊C8—28no—
438#97—24no—
439#97—24no—
440#97—28no—
441C4×C8—28no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95—21no—
461#95—21no—
462#95—24no—
463#95—24no—
464#95—24no—
465#95—24no—
466C24—21no—
467C24C22×D411yescharacteristic
468C2×Q8—21no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—44no—
472C2×Q8—44no—
473C2×Q8—44no—
474C2×Q8—44no—
475C2×Q8—44no—
476C2×Q8—44no—
477C2×Q8C2×#4112yes—
478C2×D4—24no—
479C2×D4—22no—
480C2×D4—21no—
481C2×D4—22no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4C2×#4112yes—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—22no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4AGL(1,ℤ/8)14yes—
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C2511yescharacteristic
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8C2×#4118yes—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—24no—
554C4⋊C4—22no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—48no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—48no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—44no—
577C4⋊C4C2×#4112yes—
578C4⋊C4C2×#4112yes—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—42no—
585C22⋊C4—48no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C42—24no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—21no—
613C42—21no—
614C42—22no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—42no—
620C42—42no—
621C42—48no—
622C42—42no—
623C42—42no—
624C42—42no—
625C42—42no—
626C42—42no—
627C42—42no—
628C42#13714yes—
629C42C2×#4112yes—
630C42C2×#4112yes—
631C42C2×#4114yes—
632C422−1+414yes—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—22no—
640C23—41no—
641C23—41no—
642C23—41no—
643C23—41no—
644C23—41no—
645C23—41no—
646C23C2×AGL(1,ℤ/8)12yes—
647C23C23×D411yescharacteristic
648Q8—24no—
649Q8—42no—
650Q8—88no—
651Q8—88no—
652D4—24no—
653D4—48no—
654D4—42no—
655C2×C4—28no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
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—28no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—48no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—44no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—41no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—84no—
718C2×C4—84no—
719C2×C4#52512yes—
720C2×C4#52512yes—
721C2×C4#53212yes—
722C2×C4#53212yes—
723C2×C4#53612yes—
724C2×C4#53612yes—
725C2×C4C2×AGL(1,ℤ/8)12yes—
726C2×C4C2×AGL(1,ℤ/8)12yes—
727C2×C4C2×#13712yes—
728C2×C4C2×#13712yes—
729C2×C4C2×#13712yes—
730C2×C4#57512yes—
731C2×C4#57512yes—
732C2×C4C22×#4111yescharacteristic
733C2×C4C22×#4111yescharacteristic
734C2×C4C22×#4112yes—
735C2×C4C2×2−1+412yes—
736C8—28no—
737C8—44no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—81no—
749C22—81no—
750C22—81no—
751C22—81no—
752C22C2×#52511yescharacteristic
753C22C2×#53211yescharacteristic
754C22C2×#53611yescharacteristic
755C22C22×AGL(1,ℤ/8)11yescharacteristic
756C22C22×#13711yescharacteristic
757C22C2×#57511yescharacteristic
758C22C2×#57511yescharacteristic
759C4—22no—
760C4—22no—
761C4—22no—
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—22no—
769C4—41no—
770C4—42no—
771C4—42no—
772C4—41no—
773C4—42no—
774C4—81no—
775C4—84no—
776C4—81no—
777C4—84no—
778C4—81no—
779C4—81no—
780C4#318014yes—
781C4#348212yes—
782C4#348212yes—
783C2—42no—
784C2—82no—
785C2#3497911yescharacteristic
786C2#6056111yescharacteristic
787C2#6056211yescharacteristic
788C2C2×#318011yescharacteristic
789C2#6070111yescharacteristic
790C2#6086011yescharacteristic
791C2#6086611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#121C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36645C2semidirect
3. #29574C2semidirect
4. #29573C2semidirect
5. #29225C2semidirect
6. #28726C2semidirect
7. #28694C2semidirect
8. #28520C2semidirect
9. #27883C2semidirect
11. #24703C2semidirect
13. #23762C2semidirect
15. #21731C2semidirect
16. #21655C2semidirect
17. #21615C2semidirect
18. #21613C2semidirect
19. #20463C2semidirect

Maximal subgroups

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

subgroupindex
#366452
C4×#5292
#295742
#295732
#292252
#287262
#286942
#285202
#278832
#256792
#247032
#247002
#237622
#237602
#217312
#216552
#216152
#216132
#204632