Finite Group Databasebeta

← #6763409

Subgroups — #6763409

Order 512.

1797 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36188C211yesmaximal, characteristic, complemented
2#36149C211yesmaximal, characteristic
3#33043C211yesmaximal, characteristic, complemented
4#31842C214yesmaximal, complemented
5#31649C214yesmaximal, complemented
6#30205C211yesmaximal, characteristic, complemented
7#29808C211yesmaximal, characteristic, complemented
8#29139C211yesmaximal, characteristic, complemented
9#28616C211yesmaximal, characteristic, complemented
10#27975C211yesmaximal, characteristic, complemented
11#27962C211yesmaximal, characteristic, complemented
12#25719C211yesmaximal, characteristic, complemented
13#25597C211yesmaximal, characteristic, complemented
14#24536C214yesmaximal, complemented
15#23968C214yesmaximal, complemented
16#22268C211yesmaximal, characteristic, complemented
17#21863C211yesmaximal, characteristic, complemented
18#21195C211yesmaximal, characteristic, complemented
19#21101C211yesmaximal, characteristic, complemented
20C2×#556C2212yes—
21C2×#532C2211yescharacteristic
22C2×#532C2211yescharacteristic
23C2×#494C2211yescharacteristic
24C2×#492C2211yescharacteristic
25C2×#487C2211yescharacteristic
26C2×#452C2214yes—
27C2×#431C2211yescharacteristic
28C2×#416C2214yes—
29C22×C4×C8C2211yescharacteristic
30#2868C2211yescharacteristic
31#2862C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2857C2211yescharacteristic
36#2568C2212yes—
37#2547—21no—
38#2547—21no—
39#2535—21no—
40#2499C2212yes—
41#2499C2212yes—
42#2496—21no—
43#2496—21no—
44#2496—21no—
45#2496—21no—
46#2447—21no—
47#2447C2212yes—
48#2427—21no—
49#2427C2212yes—
50#2420—21no—
51#2420—21no—
52#2407—21no—
53#2407C2212yes—
54#2365—21no—
55#2365—21no—
56#2349—21no—
57#2339—21no—
58#2339C2212yes—
59C4×C4⋊Q8C2211yescharacteristic
60C4×#127C2211yescharacteristic
61#2285C2211yescharacteristic
62#2285C2211yescharacteristic
63C42×D4C2211yescharacteristic
64#2101C2214yes—
65#2074C2214yes—
66#2072C2214yes—
67#2056C2214yes—
68#2056C2214yes—
69#2024C2214yes—
70#2023C2214yes—
71#2015C2214yes—
72#2001C2214yes—
73#2000C2214yes—
74#1990C2211yescharacteristic
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1958C2214yes—
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1956C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1933C2214yes—
86#1923C2212yes—
87#1916C2212yes—
88#1892C2214yes—
89#1880C2214yes—
90#1878C2214yes—
91#1877C2214yes—
92#1877C2214yes—
93#1875C2214yes—
94#1873C2214yes—
95#1869C2212yes—
96#1850C2212yes—
97#1834C2211yescharacteristic
98#1834C2211yescharacteristic
99#1834C2211yescharacteristic
100#1825C2214yes—
101#1804C2214yes—
102#1802C2214yes—
103C4×C4⋊C8C2211yescharacteristic
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106#1744C2211yescharacteristic
107C22×#41—21no—
108C22×#41C2312yes—
109C22×Q16C2314yes—
110C22×SD16C2314yes—
111C23×C8C2312yes—
112#556—48no—
113#532—24no—
114#532—24no—
115#532—42no—
116#532—42no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8—21no—
119C2×C4⋊Q8C2311yescharacteristic
120C2×C4⋊Q8C2311yescharacteristic
121C2×C4⋊Q8C2311yescharacteristic
122C2×C4⋊Q8C2312yes—
123C2×#127C2311yescharacteristic
124C2×#126—22no—
125C2×#126—22no—
126C2×#124—22no—
127C2×#124—21no—
128C2×#124C2312yes—
129C2×C22⋊Q8—21no—
130C2×C22⋊Q8C2312yes—
131C2×C22⋊Q8C2312yes—
132C2×C22⋊Q8C2312yes—
133C2×#121—21no—
134C2×#121—21no—
135C2×#121—21no—
136C2×#121C2312yes—
137C2×C4×Q8—22no—
138C2×C4×Q8C2312yes—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—21no—
143C2×C4×D4—21no—
144C2×C4×D4D411yescharacteristic
145C2×C4×D4D411yescharacteristic
146C2×C4×D4C2312yes—
147C2×C4×D4C2312yes—
148C2×C4×D4C2311yescharacteristic
149C2×#117C2312yes—
150C2×#117C2312yes—
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153#494—42no—
154#492—24no—
155#487—42no—
156#452—48no—
157#431—42no—
158C2×C4⋊C8C2312yes—
159C2×C4⋊C8C2312yes—
160#416—48no—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2312yes—
172C2×C4×C8—42no—
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2312yes—
178#400—22no—
179#400—22no—
180#397—22no—
181#397—22no—
182#397—22no—
183#397—22no—
184#397—22no—
185#397—22no—
186#397—22no—
187#394—22no—
188#394—22no—
189#392—22no—
190#391—22no—
191#391—22no—
192#391—21no—
193#391—21no—
194#391—21no—
195#391C2312yes—
196#391C2312yes—
197#391C2312yes—
198#391C2312yes—
199#391C2312yes—
200#391C2312yes—
201#390—21no—
202#390—21no—
203#390C2312yes—
204#389—21no—
205#389—21no—
206#389—21no—
207#389—21no—
208#389—21no—
209#389—21no—
210#389—21no—
211#389—21no—
212#389—21no—
213#389C2312yes—
214#387—22no—
215#387—22no—
216#387—22no—
217#387—22no—
218#386—22no—
219#386—22no—
220#386—22no—
221#386—22no—
222#385—22no—
223#385—22no—
224#384—21no—
225#384—21no—
226#384C2311yescharacteristic
227#384C2311yescharacteristic
228#384C2312yes—
229#384C2311yescharacteristic
230#384C2311yescharacteristic
231#382—21no—
232#382—21no—
233#382C2312yes—
234#382C2312yes—
235#381—22no—
236#381—22no—
237#380—21no—
238#380—21no—
239#380—21no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—21no—
244#380—21no—
245#380—21no—
246#380—21no—
247#380—21no—
248#380—22no—
249#380C2312yes—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4C2311yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4C2311yescharacteristic
264C4×C22⋊C4C2311yescharacteristic
265C2×#95—22no—
266C43C2311yescharacteristic
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278C2×#41—24no—
279C2×#41—28no—
280C2×#41—42no—
281C2×#41—44no—
282C2×#41—44no—
283C2×#41—44no—
284C2×#41—82no—
285C22×Q8—22no—
286C22×Q8—21no—
287C22×Q8C2412yes—
288C22×Q8C2412yes—
289C22×D4—22no—
290C22×D4—22no—
291C22×D4—21no—
292C22×D4—21no—
293C22×D4C2×D411yescharacteristic
294C22×D4C2412yes—
295C23×C4—22no—
296C23×C4—22no—
297C23×C4—22no—
298C23×C4C2×D411yescharacteristic
299C23×C4C2×D411yescharacteristic
300C23×C4C2×D411yescharacteristic
301C23×C4C2×D411yescharacteristic
302C23×C4C2411yescharacteristic
303C23×C4C2411yescharacteristic
304C2×Q16—44no—
305C2×Q16—44no—
306C2×Q16—44no—
307C2×SD16—28no—
308C2×SD16—44no—
309C2×SD16—44no—
310C22×C8—24no—
311C22×C8—42no—
312C22×C8—42no—
313C22×C8C2412yes—
314C22×C8C2412yes—
315C22×C8C2412yes—
316C22×C8C2412yes—
317C4⋊Q8—22no—
318C4⋊Q8—22no—
319C4⋊Q8—22no—
320C4⋊Q8—22no—
321C4⋊Q8—22no—
322C4⋊Q8—22no—
323C4⋊Q8—44no—
324C4⋊Q8—44no—
325C4⋊Q8—44no—
326#127—22no—
327#127#4114yes—
328#126—48no—
329#126—48no—
330#124—24no—
331#124—42no—
332#124—44no—
333#124—48no—
334C22⋊Q8—28no—
335C22⋊Q8—44no—
336C22⋊Q8—44no—
337C22⋊Q8—82no—
338#121—24no—
339#121—42no—
340#121—44no—
341#121—44no—
342#121—44no—
343C4×Q8—44no—
344C4×Q8—48no—
345C4×D4—24no—
346C4×D4—24no—
347C4×D4—24no—
348C4×D4—42no—
349C4×D4—42no—
350C4×D4—44no—
351C4×D4—44no—
352C4×D4—44no—
353C4×D4—44no—
354C4×D4—44no—
355C4×D4—82no—
356#117—28no—
357#117—44no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—21no—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—21no—
370C2×C4⋊C4—21no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—21no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4C2×D411yescharacteristic
380C2×C4⋊C4C2×D411yescharacteristic
381C2×C4⋊C4C2×D411yescharacteristic
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2412yes—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C22⋊C4C2×D411yescharacteristic
404C2×C22⋊C4C2×D411yescharacteristic
405C2×C22⋊C4C2×D411yescharacteristic
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
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
426C4⋊C8—42no—
427C4⋊C8—42no—
428#103—44no—
429#103—44no—
430#103—44no—
431#103—44no—
432#103—44no—
433#102—44no—
434#102—44no—
435#102—44no—
436C22⋊C8—24no—
437C22⋊C8—42no—
438C22⋊C8—42no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8—22no—
442C4×C8—22no—
443C4×C8—42no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95—22no—
455#95—22no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95—22no—
461#95—22no—
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464#95C2×D411yescharacteristic
465#95C2×D411yescharacteristic
466#95C2×D411yescharacteristic
467#95C2×D411yescharacteristic
468C24—22no—
469C24C22×D411yescharacteristic
470C24C22×D411yescharacteristic
471#41—416no—
472#41—88no—
473#41—816no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—24no—
477C2×Q8—22no—
478C2×Q8—24no—
479C2×Q8—22no—
480C2×Q8—24no—
481C2×Q8—24no—
482C2×Q8—44no—
483C2×Q8—44no—
484C2×Q8—42no—
485C2×Q8—44no—
486C2×Q8—42no—
487C2×Q8—42no—
488C2×D4—22no—
489C2×D4—24no—
490C2×D4—24no—
491C2×D4—22no—
492C2×D4—24no—
493C2×D4—22no—
494C2×D4—24no—
495C2×D4—41no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—44no—
499C2×D4—44no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—82no—
505C2×D4—82no—
506C2×D4C2×#4114yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—82no—
539C22×C4—82no—
540C22×C4—82no—
541C22×C4—82no—
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4H(5,𝔽2)14yes—
555C22×C4C2511yescharacteristic
556Q16—88no—
557SD16—88no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—48no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—22no—
578C4⋊C4—24no—
579C4⋊C4—41no—
580C4⋊C4—44no—
581C4⋊C4—44no—
582C4⋊C4—44no—
583C4⋊C4—44no—
584C4⋊C4—44no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—42no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—44no—
592C4⋊C4—42no—
593C4⋊C4—42no—
594C4⋊C4—42no—
595C4⋊C4—42no—
596C4⋊C4—42no—
597C4⋊C4—42no—
598C4⋊C4—42no—
599C4⋊C4—82no—
600C4⋊C4—82no—
601C22⋊C4—22no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—41no—
606C22⋊C4—41no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—44no—
612C22⋊C4—44no—
613C22⋊C4—44no—
614C22⋊C4—44no—
615C22⋊C4—44no—
616C22⋊C4—82no—
617C22⋊C4—82no—
618C22⋊C4—82no—
619C22⋊C4—82no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—22no—
624C42—22no—
625C42—22no—
626C42—22no—
627C42—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—22no—
632C42—22no—
633C42—44no—
634C42—44no—
635C42—44no—
636C42#13514yes—
637C42C2×#4112yes—
638C42H(5,𝔽2)12yes—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—21no—
643C23—21no—
644C23—21no—
645C23—21no—
646C23—24no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—21no—
651C23—21no—
652C23—21no—
653C23—42no—
654C23—42no—
655C23—42no—
656C23—42no—
657C23—42no—
658C23—42no—
659C23#53512yes—
660C23C23×D411yescharacteristic
661Q8—44no—
662Q8—44no—
663Q8—44no—
664Q8—44no—
665Q8—88no—
666Q8—84no—
667D4—28no—
668D4—44no—
669D4—44no—
670D4—48no—
671D4—48no—
672D4—88no—
673D4—88no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—88no—
731C2×C4—88no—
732C2×C4—164no—
733C2×C4#53512yes—
734C2×C4#54612yes—
735C2×C4#54612yes—
736C2×C4C2×#13512yes—
737C2×C4C2×#13512yes—
738C2×C4C2×#13512yes—
739C2×C4#57512yes—
740C2×C4#57712yes—
741C2×C4#57812yes—
742C2×C4C22×#4111yescharacteristic
743C2×C4C2×H(5,𝔽2)12yes—
744C2×C4C2×H(5,𝔽2)11yescharacteristic
745C2×C4#58512yes—
746C8—42no—
747C8—42no—
748C8—42no—
749C8—42no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—41no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—41no—
762C22—44no—
763C22—41no—
764C22—44no—
765C22—41no—
766C22—44no—
767C22—82no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22C2×#53511yescharacteristic
772C22C2×#54611yescharacteristic
773C22#350011yescharacteristic
774C22C22×#13511yescharacteristic
775C22C2×#57511yescharacteristic
776C22C2×#57711yescharacteristic
777C22C2×#57811yescharacteristic
778C4—22no—
779C4—22no—
780C4—22no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—41no—
786C4—41no—
787C4—41no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4—82no—
793C4—82no—
794C4—82no—
795C4#330214yes—
796C4#331114yes—
797C4#351312yes—
798C4#354212yes—
799C2—42no—
800C2—81no—
801C2—84no—
802C2#3808211yescharacteristic
803C2#6078211yescharacteristic
804C2#6082411yescharacteristic
805C2C2×#330211yescharacteristic
806C2C2×#331111yescharacteristic
807C2#6253111yescharacteristic
808C2#6254511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36149C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36188C2semidirect
3. #33043C2semidirect
4. #31842C2semidirect
5. #31649C2semidirect
6. #30205C2semidirect
7. #29808C2semidirect
8. #29139C2semidirect
9. #28616C2semidirect
10. #27975C2semidirect
11. #27962C2semidirect
12. #25719C2semidirect
13. #25597C2semidirect
14. #24536C2semidirect
15. #23968C2semidirect
16. #22268C2semidirect
17. #21863C2semidirect
18. #21195C2semidirect
19. #21101C2semidirect

Maximal subgroups

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

subgroupindex
#361882
#361492
#330432
#318422
#316492
#302052
#298082
#291392
#286162
#279752
#279622
#257192
#255972
#245362
#239682
#222682
#218632
#211952
#211012