Finite Group Databasebeta

← #6765298

Subgroups — #6765298

Order 512.

1669 conjugacy classes of subgroups.

The subgroup lattice has 797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36210C211yesmaximal, characteristic, complemented
2#36150C211yesmaximal, characteristic
3#33170C211yesmaximal, characteristic, complemented
4#30702C214yesmaximal, complemented
5#30590C214yesmaximal, complemented
6#30219C211yesmaximal, characteristic, complemented
7#29808C211yesmaximal, characteristic, complemented
8#29176C211yesmaximal, characteristic, complemented
9#28444C211yesmaximal, characteristic, complemented
10#27908C211yesmaximal, characteristic, complemented
11#27891C211yesmaximal, characteristic, complemented
12#27074C214yesmaximal, complemented
13#26936C214yesmaximal, complemented
14#25600C211yesmaximal, characteristic, complemented
15#25597C211yesmaximal, characteristic, complemented
16#22221C211yesmaximal, characteristic, complemented
17#21863C211yesmaximal, characteristic, complemented
18#21400C211yesmaximal, characteristic, complemented
19#21101C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C2×#532C2211yescharacteristic
22C2×#494C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#485C2214yes—
26C2×#465C2214yes—
27C2×#464C2214yes—
28C2×#431C2211yescharacteristic
29C22×C4×C8C2211yescharacteristic
30#2859C2211yescharacteristic
31#2858C2211yescharacteristic
32#2857C2211yescharacteristic
33#2857C2211yescharacteristic
34#2857C2211yescharacteristic
35#2856C2211yescharacteristic
36#2562—21no—
37#2540C2212yes—
38#2514C2212yes—
39#2509—21no—
40#2495—21no—
41#2494—21no—
42#2494—21no—
43#2490—21no—
44#2485—21no—
45#2454—21no—
46#2448—21no—
47#2427C2212yes—
48#2426—21no—
49#2426C2212yes—
50#2421C2212yes—
51#2415C2212yes—
52#2414—21no—
53#2407—21no—
54#2370—21no—
55#2367C2212yes—
56#2363—21no—
57#2362C2212yes—
58#2347—21no—
59#2341—21no—
60C4×C4⋊Q8C2211yescharacteristic
61C4×C4⋊Q8C2211yescharacteristic
62#2285C2211yescharacteristic
63#2285C2211yescharacteristic
64C42×D4C2211yescharacteristic
65#2097C2214yes—
66#2088C2214yes—
67#2056C2214yes—
68#2042C2214yes—
69#2042C2214yes—
70#2033C2214yes—
71#2015C2214yes—
72#2001C2214yes—
73#2001C2214yes—
74#2000C2214yes—
75#1990C2211yescharacteristic
76#1990C2211yescharacteristic
77#1990C2211yescharacteristic
78#1968C2214yes—
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1956C2211yescharacteristic
85#1956C2211yescharacteristic
86#1928C2214yes—
87#1925C2214yes—
88#1923C2212yes—
89#1920C2214yes—
90#1916C2212yes—
91#1892C2214yes—
92#1878C2214yes—
93#1877C2214yes—
94#1875C2214yes—
95#1869C2212yes—
96#1863C2214yes—
97#1850C2212yes—
98#1845C2211yescharacteristic
99#1844C2211yescharacteristic
100#1834C2211yescharacteristic
101#1804C2214yes—
102C4×C4⋊C8C2211yescharacteristic
103C4×#103C2214yes—
104C4×C22⋊C8C2211yescharacteristic
105C4×C22⋊C8C2211yescharacteristic
106#1744C2211yescharacteristic
107C22×#41—21no—
108C22×Q16C2314yes—
109C22×SD16C2314yes—
110C23×C8C2312yes—
111#533—24no—
112#533—42no—
113#532—24no—
114#532—42no—
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2311yescharacteristic
118C2×#127C2311yescharacteristic
119C2×#125—21no—
120C2×#125—21no—
121C2×#124—21no—
122C2×#124C2312yes—
123C2×#124C2312yes—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8C2312yes—
126C2×C22⋊Q8C2312yes—
127C2×C22⋊Q8C2312yes—
128C2×C22⋊Q8C2312yes—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121—21no—
132C2×#121C2312yes—
133C2×#121C2312yes—
134C2×C4×Q8—21no—
135C2×C4×Q8—21no—
136C2×C4×Q8C2312yes—
137C2×C4×Q8C2312yes—
138C2×C4×D4—21no—
139C2×C4×D4D411yescharacteristic
140C2×C4×D4D411yescharacteristic
141C2×C4×D4C2312yes—
142C2×C4×D4C2311yescharacteristic
143C2×#117—21no—
144C2×#117—21no—
145C2×#117C2312yes—
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148#494—42no—
149#492—42no—
150#487—24no—
151#485—48no—
152#465—48no—
153#464—48no—
154#431—42no—
155C2×#107C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2312yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×C22⋊C8C2312yes—
168C2×C22⋊C8C2312yes—
169C2×C22⋊C8C2312yes—
170C2×C4×C8—42no—
171C2×C4×C8C2311yescharacteristic
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2311yescharacteristic
175C2×C4×C8C2312yes—
176#401—22no—
177#400—22no—
178#400—22no—
179#399—22no—
180#397—22no—
181#397—22no—
182#397—22no—
183#396—22no—
184#394—22no—
185#394—22no—
186#394—22no—
187#392—22no—
188#391—21no—
189#391C2312yes—
190#391C2312yes—
191#391C2312yes—
192#391C2312yes—
193#390—22no—
194#390—22no—
195#390—22no—
196#390—21no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390—21no—
202#390C2312yes—
203#389—22no—
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#389—21no—
214#389—21no—
215#389C2312yes—
216#389C2312yes—
217#389C2312yes—
218#388—22no—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#388—22no—
225#387—22no—
226#387—22no—
227#387—22no—
228#386—22no—
229#385—22no—
230#384C2311yescharacteristic
231#384C2311yescharacteristic
232#384C2311yescharacteristic
233#384C2311yescharacteristic
234#383—22no—
235#382—21no—
236#382—21no—
237#382C2312yes—
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—22no—
248#380C2312yes—
249C4×C4⋊C4—21no—
250C4×C4⋊C4—21no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—22no—
256C4×C4⋊C4D411yescharacteristic
257C4×C4⋊C4D411yescharacteristic
258C4×C4⋊C4C2312yes—
259C4×C4⋊C4C2312yes—
260C4×C4⋊C4C2311yescharacteristic
261C4×C22⋊C4—22no—
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264C4×C22⋊C4D411yescharacteristic
265C4×C22⋊C4D411yescharacteristic
266C4×C22⋊C4C2311yescharacteristic
267C4×C22⋊C4C2311yescharacteristic
268C43C2311yescharacteristic
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277#336C2312yes—
278C2×#41—44no—
279C2×#41—44no—
280C2×#41—82no—
281C22×Q8—21no—
282C22×Q8C2412yes—
283C22×Q8C2412yes—
284C22×D4—22no—
285C22×D4—22no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4C2×D411yescharacteristic
289C22×D4C2412yes—
290C23×C4—22no—
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2411yescharacteristic
296C23×C4C2411yescharacteristic
297C2×Q16—44no—
298C2×Q16—44no—
299C2×Q16—44no—
300C2×SD16—28no—
301C2×SD16—44no—
302C2×SD16—44no—
303C22×C8—24no—
304C22×C8—42no—
305C22×C8—42no—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—22no—
313C4⋊Q8—22no—
314C4⋊Q8—22no—
315C4⋊Q8#4114yes—
316#127—22no—
317#127—22no—
318#125—44no—
319#125—44no—
320#124—44no—
321#124—44no—
322#124—44no—
323C22⋊Q8—24no—
324C22⋊Q8—44no—
325C22⋊Q8—42no—
326C22⋊Q8—44no—
327C22⋊Q8—44no—
328C22⋊Q8—44no—
329#121—24no—
330#121—42no—
331#121—44no—
332#121—44no—
333#121—44no—
334#121—82no—
335C4×Q8—24no—
336C4×Q8—42no—
337C4×Q8—44no—
338C4×Q8—44no—
339C4×Q8—82no—
340C4×D4—24no—
341C4×D4—24no—
342C4×D4—42no—
343C4×D4—44no—
344C4×D4—42no—
345C4×D4—42no—
346#117—44no—
347#117—44no—
348#117—44no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—21no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2×D411yescharacteristic
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2412yes—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
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⋊C4C2×D411yescharacteristic
395C2×C22⋊C4C2×D411yescharacteristic
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
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
422#107—44no—
423#106—28no—
424C4⋊C8—24no—
425C4⋊C8—42no—
426#103—28no—
427#103—28no—
428#103—44no—
429#103—44no—
430#103—44no—
431#102—44no—
432#102—44no—
433#102—44no—
434C22⋊C8—24no—
435C22⋊C8—42no—
436C22⋊C8—42no—
437C4×C8—22no—
438C4×C8—22no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8—42no—
442#95—22no—
443#95—22no—
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#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464C24—22no—
465C24C22×D411yescharacteristic
466C24C22×D411yescharacteristic
467#41—816no—
468C2×Q8—24no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—24no—
472C2×Q8—24no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—82no—
496C2×D4—82no—
497C2×D4—82no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—82no—
527C22×C4#13514yes—
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×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C2511yescharacteristic
541Q16—88no—
542SD16—88no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—48no—
555C2×C8H(5,𝔽2)14yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—82no—
583C4⋊C4—82no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4C2×#4114yes—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—21no—
617C42—21no—
618C42—21no—
619C42—22no—
620C42—21no—
621C42—22no—
622C42—44no—
623C42—44no—
624C42—82no—
625C42—82no—
626C42—82no—
627C42C2×#4112yes—
628C42H(5,𝔽2)12yes—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23C2×#13512yes—
650C23C23×D411yescharacteristic
651Q8—48no—
652Q8—44no—
653Q8—44no—
654Q8—44no—
655Q8—44no—
656D4—44no—
657D4—44no—
658D4—44no—
659D4—88no—
660D4—84no—
661D4—84no—
662D4—164no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—28no—
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—24no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
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—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
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—88no—
722C2×C4#54612yes—
723C2×C4#54612yes—
724C2×C4C2×#13512yes—
725C2×C4C2×#13512yes—
726C2×C4#57512yes—
727C2×C4#57712yes—
728C2×C4#57812yes—
729C2×C4C22×#4111yescharacteristic
730C2×C4C2×H(5,𝔽2)12yes—
731C2×C4C2×H(5,𝔽2)11yescharacteristic
732C2×C4#58512yes—
733C8—24no—
734C8—42no—
735C8—42no—
736C8—42no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22#344911yescharacteristic
759C22C2×#54611yescharacteristic
760C22#349811yescharacteristic
761C22C22×#13511yescharacteristic
762C22C2×#57511yescharacteristic
763C22C2×#57711yescharacteristic
764C22C2×#57811yescharacteristic
765C4—22no—
766C4—41no—
767C4—41no—
768C4—41no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—41no—
774C4—44no—
775C4—41no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4—82no—
782C4#330014yes—
783C4#331114yes—
784C4#351712yes—
785C4#354212yes—
786C2—42no—
787C2—81no—
788C2—162no—
789C2#3808911yescharacteristic
790C2#6094411yescharacteristic
791C2#6100811yescharacteristic
792C2C2×#330011yescharacteristic
793C2C2×#331111yescharacteristic
794C2#6241411yescharacteristic
795C2#6242511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36150C2
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. #36210C2semidirect
3. #33170C2semidirect
4. #30702C2semidirect
5. #30590C2semidirect
6. #30219C2semidirect
7. #29808C2semidirect
8. #29176C2semidirect
9. #28444C2semidirect
10. #27908C2semidirect
11. #27891C2semidirect
12. #27074C2semidirect
13. #26936C2semidirect
14. #25600C2semidirect
15. #25597C2semidirect
16. #22221C2semidirect
17. #21863C2semidirect
18. #21400C2semidirect
19. #21101C2semidirect

Maximal subgroups

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

subgroupindex
#362102
#361502
#331702
#307022
#305902
#302192
#298082
#291762
#284442
#279082
#278912
#270742
#269362
#256002
#255972
#222212
#218632
#214002
#211012