Finite Group Databasebeta

← #6436240

Subgroups — #6436240

Order 512.

1634 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36645C211yesmaximal, characteristic, complemented
2C4×#529C211yesmaximal, characteristic
3#30168C212yesmaximal, complemented
4#30165C212yesmaximal
5#30098C212yesmaximal, complemented
6#30082C212yesmaximal, complemented
7#29984C211yesmaximal, characteristic, complemented
8#29981C211yesmaximal, characteristic, complemented
9#29942C212yesmaximal, complemented
10#29869C211yesmaximal, characteristic, complemented
11#29868C211yesmaximal, characteristic, complemented
12#29692C212yesmaximal
13#23841C212yesmaximal, complemented
14#23821C212yesmaximal, complemented
15#23762C212yesmaximal, complemented
16#23760C212yesmaximal
17#21616C212yesmaximal, complemented
18#21614C212yesmaximal, complemented
19#20778C211yesmaximal, characteristic, complemented
20C2×#533—21no—
21C2×#529C2211yescharacteristic
22C2×#477C2212yes—
23C2×#476C2212yes—
24#2868C2211yescharacteristic
25#2868C2211yescharacteristic
26#2862—21no—
27#2859—21no—
28#2859C2212yes—
29#2857—21no—
30#2857—21no—
31#2857C2212yes—
32#2857C2212yes—
33C4×C4⋊Q8—21no—
34C4×C4⋊Q8—21no—
35C4×C4⋊Q8C2212yes—
36C4×C4⋊Q8C2212yes—
37C4×#125C2211yescharacteristic
38C4×#125C2211yescharacteristic
39C4×#126—21no—
40C4×#126—21no—
41C4×#124C2211yescharacteristic
42C4×#124C2211yescharacteristic
43C4×C22⋊Q8C2211yescharacteristic
44C4×C22⋊Q8C2211yescharacteristic
45C4×#123—21no—
46C4×#123—21no—
47C4×#121C2211yescharacteristic
48C4×#121C2211yescharacteristic
49#2298—21no—
50#2295C2211yescharacteristic
51#2293C2211yescharacteristic
52#2290—21no—
53#2285—21no—
54#2285C2212yes—
55#2283C2211yescharacteristic
56C42×Q8C2211yescharacteristic
57C42×D4—21no—
58C42×D4C2211yescharacteristic
59C4×#117—21no—
60C2×C43C2211yescharacteristic
61#2101C2214yes—
62#2100C2212yes—
63#2100C2212yes—
64#2095C2212yes—
65#2094C2212yes—
66#2085C2214yes—
67#2084C2212yes—
68#2084C2212yes—
69#2083C2212yes—
70#2083C2212yes—
71#2077C2214yes—
72#2075C2214yes—
73#2072C2212yes—
74#2072C2212yes—
75#2071C2212yes—
76#2071C2212yes—
77#2059C2214yes—
78#2058C2212yes—
79#2057C2212yes—
80#2042C2214yes—
81#2035C2214yes—
82#2033C2214yes—
83#2024C2212yes—
84#2023C2212yes—
85#1987C2212yes—
86#1987C2212yes—
87#1948C2212yes—
88#1947C2212yes—
89#1919C2214yes—
90#1918C2214yes—
91#1865C2214yes—
92#1862C2214yes—
93#1839C2212yes—
94#1831C2211yescharacteristic
95#1831C2211yescharacteristic
96#1817C2212yes—
97#1803C2212yes—
98#1802C2212yes—
99#1797C2212yes—
100#1776C2214yes—
101#1776C2214yes—
102#1767C2212yes—
103#1763C2214yes—
104#1762C2214yes—
105#1749C2212yes—
106#1745C2212yes—
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#477—28no—
148#476—28no—
149C2×#107C2314yes—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2312yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×C22⋊C8C2314yes—
160C2×#97C2314yes—
161#391—22no—
162#391—22no—
163#391—22no—
164#391—22no—
165#391C2311yescharacteristic
166#391C2311yescharacteristic
167#390C2311yescharacteristic
168#390C2311yescharacteristic
169#389—22no—
170#389—22no—
171#389—22no—
172#389—22no—
173#389—22no—
174#389—22no—
175#389C2311yescharacteristic
176#389C2311yescharacteristic
177#389C2311yescharacteristic
178#389C2311yescharacteristic
179#389C2314yes—
180#389C2314yes—
181#388—21no—
182#388—21no—
183#388—21no—
184#388—21no—
185#388—21no—
186#388—21no—
187#388—21no—
188#388—21no—
189#387—21no—
190#387—21no—
191#387—21no—
192#387—21no—
193#387—21no—
194#387—21no—
195#387—21no—
196#387—21no—
197#386—21no—
198#386—21no—
199#385—21no—
200#385—21no—
201#384—21no—
202#384—21no—
203#384—21no—
204#384—21no—
205#384C2312yes—
206#384C2312yes—
207#384C2312yes—
208#384C2312yes—
209#383—21no—
210#382—22no—
211#382—22no—
212#382C2311yescharacteristic
213#382C2311yescharacteristic
214#381—21no—
215#380—22no—
216#380—22no—
217#380—22no—
218#380C2311yescharacteristic
219#380C2314yes—
220#380C2311yescharacteristic
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—22no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4C2311yescharacteristic
235C4×C4⋊C4C2311yescharacteristic
236C4×C4⋊C4C2311yescharacteristic
237C4×C4⋊C4C2311yescharacteristic
238C4×C4⋊C4C2314yes—
239C4×C4⋊C4C2311yescharacteristic
240C4×C4⋊C4C2311yescharacteristic
241C4×C22⋊C4—21no—
242C4×C22⋊C4—21no—
243C4×C22⋊C4—21no—
244C4×C22⋊C4—21no—
245C4×C22⋊C4—21no—
246C4×C22⋊C4—21no—
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—
254#376—21no—
255#376—21no—
256C43—21no—
257C43D411yescharacteristic
258C43D411yescharacteristic
259C43D411yescharacteristic
260C43D411yescharacteristic
261C43C2311yescharacteristic
262C43C2311yescharacteristic
263C43C2311yescharacteristic
264C43C2311yescharacteristic
265#340C2314yes—
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2314yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278#336C2314yes—
279C22×Q8—22no—
280C22×Q8—22no—
281C22×Q8C2411yescharacteristic
282C22×D4—21no—
283C22×D4C2411yescharacteristic
284C23×C4—21no—
285C23×C4—21no—
286C23×C4—21no—
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2411yescharacteristic
294C22×C8C2414yes—
295C22×C8C2414yes—
296C4⋊Q8—24no—
297C4⋊Q8—24no—
298C4⋊Q8—44no—
299C4⋊Q8—44no—
300C4⋊Q8—44no—
301C4⋊Q8—44no—
302C4⋊Q8—44no—
303#126—28no—
304#125—22no—
305#125—22no—
306#125—48no—
307#124—22no—
308#124—22no—
309#123—28no—
310C22⋊Q8—22no—
311C22⋊Q8—22no—
312C22⋊Q8—48no—
313C22⋊Q8—48no—
314#121—22no—
315#121—22no—
316C4×Q8—22no—
317C4×Q8—24no—
318C4×Q8—42no—
319C4×Q8—48no—
320C4×Q8—48no—
321C4×Q8#4114yes—
322C4×D4—28no—
323C4×D4—22no—
324C4×D4—24no—
325C4×D4—42no—
326C4×D4—44no—
327C4×D4—44no—
328C4×D4#4114yes—
329#117—28no—
330#117—48no—
331#117—44no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—24no—
343C2×C4⋊C4—24no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2411yescharacteristic
357C2×C4⋊C4C2411yescharacteristic
358C2×C4⋊C4C2414yes—
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2411yescharacteristic
361C2×C4⋊C4C2411yescharacteristic
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—24no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C42—24no—
377C2×C42—21no—
378C2×C42—24no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—24no—
382C2×C42—24no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—21no—
386C2×C42—21no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—21no—
391C2×C42—42no—
392C2×C42—42no—
393C2×C42—42no—
394C2×C42—44no—
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423#107—28no—
424#107—44no—
425#106—28no—
426#106—44no—
427C4⋊C8—24no—
428C4⋊C8—24no—
429#103—28no—
430#103—44no—
431#102—28no—
432#102—44no—
433C22⋊C8—44no—
434#97—28no—
435#95—21no—
436#95—21no—
437#95—21no—
438#95—21no—
439#95—21no—
440#95—21no—
441#95—21no—
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—24no—
456#95—24no—
457#95—24no—
458#95—24no—
459C24—21no—
460C24C22×D411yescharacteristic
461C2×Q8—21no—
462C2×Q8—22no—
463C2×Q8—22no—
464C2×Q8—44no—
465C2×Q8—44no—
466C2×Q8—44no—
467C2×Q8—44no—
468C2×Q8—44no—
469C2×Q8—44no—
470C2×Q8C2×#4112yes—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—22no—
474C2×D4—22no—
475C2×D4—42no—
476C2×D4—42no—
477C2×D4C2×#4112yes—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4AGL(1,ℤ/8)14yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C2511yescharacteristic
532C2×C8—24no—
533C2×C8—24no—
534C2×C8—24no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8—24no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—42no—
555C4⋊C4—48no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—48no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4C2×#4112yes—
571C4⋊C4C2×#4112yes—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—42no—
578C22⋊C4—42no—
579C22⋊C4—48no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C42—22no—
587C42—22no—
588C42—24no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—21no—
603C42—21no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—42no—
614C42—42no—
615C42—48no—
616C42—42no—
617C42—42no—
618C42—42no—
619C42—42no—
620C42—42no—
621C42—42no—
622C42#13714yes—
623C42C2×#4112yes—
624C42C2×#4112yes—
625C422−1+414yes—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—22no—
633C23—41no—
634C23—41no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23C2×AGL(1,ℤ/8)12yes—
640C23C23×D411yescharacteristic
641Q8—24no—
642Q8—42no—
643Q8—88no—
644Q8—88no—
645D4—24no—
646D4—48no—
647D4—42no—
648C2×C4—28no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
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—22no—
669C2×C4—22no—
670C2×C4—22no—
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—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—44no—
691C2×C4—48no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—44no—
700C2×C4—41no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—84no—
713C2×C4—84no—
714C2×C4#52512yes—
715C2×C4#52512yes—
716C2×C4#53612yes—
717C2×C4#53612yes—
718C2×C4C2×AGL(1,ℤ/8)12yes—
719C2×C4C2×AGL(1,ℤ/8)12yes—
720C2×C4C2×#13712yes—
721C2×C4C2×#13712yes—
722C2×C4C2×#13712yes—
723C2×C4#57512yes—
724C2×C4#57512yes—
725C2×C4C22×#4111yescharacteristic
726C2×C4C22×#4111yescharacteristic
727C2×C4C2×2−1+412yes—
728C2×C4#58512yes—
729C8—44no—
730C8—44no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22—81no—
745C22C2×#52511yescharacteristic
746C22C2×#53611yescharacteristic
747C22#344911yescharacteristic
748C22C22×AGL(1,ℤ/8)11yescharacteristic
749C22C22×#13711yescharacteristic
750C22C2×#57511yescharacteristic
751C22C2×#57511yescharacteristic
752C4—22no—
753C4—22no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—22no—
758C4—22no—
759C4—22no—
760C4—41no—
761C4—41no—
762C4—42no—
763C4—41no—
764C4—42no—
765C4—41no—
766C4—42no—
767C4—81no—
768C4—84no—
769C4—81no—
770C4—84no—
771C4—81no—
772C4—81no—
773C4#311614yes—
774C4#346112yes—
775C4#346112yes—
776C2—42no—
777C2—82no—
778C2#3462711yescharacteristic
779C2C2×#311611yescharacteristic
780C2#6056111yescharacteristic
781C2#6086011yescharacteristic
782C2#6086611yescharacteristic
783C2#6095811yescharacteristic
784C2#6096611yescharacteristic
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. #30168C2semidirect
5. #30098C2semidirect
6. #30082C2semidirect
7. #29984C2semidirect
8. #29981C2semidirect
9. #29942C2semidirect
10. #29869C2semidirect
11. #29868C2semidirect
13. #23841C2semidirect
14. #23821C2semidirect
15. #23762C2semidirect
17. #21616C2semidirect
18. #21614C2semidirect
19. #20778C2semidirect

Maximal subgroups

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

subgroupindex
#366452
C4×#5292
#301682
#301652
#300982
#300822
#299842
#299812
#299422
#298692
#298682
#296922
#238412
#238212
#237622
#237602
#216162
#216142
#207782