Finite Group Databasebeta

← #8926523

Subgroups — #8926523

Order 512.

4152 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58751C214yesmaximal, complemented
2#58589C214yesmaximal, complemented
3#58429C218yesmaximal, complemented
4#53920C218yesmaximal, complemented
5#46910C218yesmaximal, complemented
6#46882C214yesmaximal, complemented
7#46838C212yesmaximal, complemented
8#46838C212yesmaximal, complemented
9#46388C212yesmaximal
10#36970C212yesmaximal, complemented
11#36970C212yesmaximal, complemented
12#36881C218yesmaximal, complemented
13#36732C214yesmaximal, complemented
14#36720C211yesmaximal, characteristic
15#36720C211yesmaximal, characteristic
16#35452C212yesmaximal
17#35448C211yesmaximal, characteristic
18C2×#543C2211yescharacteristic
19C2×#543C2211yescharacteristic
20C22×#126C2212yes—
21C22×#123C2211yescharacteristic
22C2×#518C2211yescharacteristic
23#2855C2214yescomplemented
24#2855C2214yescomplemented
25#2848C2212yes—
26#2848C2212yes—
27#2845C2218yescomplemented
28#2843C2214yescomplemented
29#2842C2212yes—
30#2839C2218yescomplemented
31#2835C2214yescomplemented
32#2833C2214yescomplemented
33#2809C2214yescomplemented
34#2802C2218yescomplemented
35#2799C2214yescomplemented
36#2794C2214yescomplemented
37#2792C2214yescomplemented
38#2791C2218yescomplemented
39#2788C2218yescomplemented
40#2774C2218yescomplemented
41#2770C2218yescomplemented
42#2767C2218yescomplemented
43#2766C2218yescomplemented
44#2765C2218yes—
45#2763C2214yescomplemented
46#2762C2218yescomplemented
47#2747C2218yescomplemented
48#2746C2218yes—
49#2744C2218yes—
50#2744C2218yescomplemented
51#2744C2218yescomplemented
52#2739C2218yes—
53#2739C2218yescomplemented
54#2739C2218yescomplemented
55#2738C2218yescomplemented
56#2738C2218yescomplemented
57#2722C2214yescomplemented
58#2698C2218yes—
59#2698C2218yes—
60#2698C2218yescomplemented
61#2698C2218yescomplemented
62#2698C2218yescomplemented
63#2695C2218yes—
64#2689C2218yes—
65#2689C2218yes—
66#2689C2218yescomplemented
67#2689C2218yescomplemented
68#2689C2218yescomplemented
69#2687C2218yes—
70#2687C2218yes—
71#2680C2218yes—
72#2680C2218yes—
73#2666C2218yescomplemented
74#2659C2214yescomplemented
75#2655C2218yescomplemented
76#2646C2214yescomplemented
77#2627C2212yes—
78#2627C2212yes—
79#2627C2214yescomplemented
80#2627C2214yescomplemented
81#2586C2214yescomplemented
82#2583C2214yescomplemented
83#2583C2214yescomplemented
84#2579C2214yes—
85#2576C2218yes—
86#2575C2218yescomplemented
87#2575C2218yescomplemented
88#2574C2218yescomplemented
89#2573C2218yes—
90#2573C2218yescomplemented
91#2571C2214yescomplemented
92#2561C2212yes—
93#2561C2212yes—
94#2553C2218yes—
95#2523C2214yescomplemented
96#2520C2218yescomplemented
97#2515C2218yes—
98#2515C2218yescomplemented
99#2507C2218yescomplemented
100#2505C2218yescomplemented
101#2505C2218yescomplemented
102#2503C2214yescomplemented
103#2503C2214yescomplemented
104#2502C2212yes—
105#2502C2212yes—
106#2495C2218yescomplemented
107#2486C2214yes—
108#2484C2212yes—
109#2484C2212yes—
110#2483C2212yes—
111#2483C2212yes—
112#2483C2212yes—
113#2483C2212yes—
114#2483C2212yes—
115#2483C2212yes—
116#2483C2212yes—
117#2480C2218yes—
118#2480C2218yes—
119#2478C2218yes—
120#2468C2218yes—
121#2466C2218yes—
122#2419C2218yes—
123#2419C2218yes—
124#2405C2212yes—
125#2405C2212yes—
126#2334C2218yescomplemented
127#2329C2214yescomplemented
128#2329C2214yescomplemented
129#2322C2214yes—
130#2315C2212yes—
131#2312C2212yes—
132#2312C2212yes—
133#2312C2211yescharacteristic
134#2312C2211yescharacteristic
135#2312C2212yes—
136#2308C2211yescharacteristic
137C4×#123C2214yes—
138C2×#381C2212yes—
139C23×D4C2311yescharacteristic
140C24×C4C2311yescharacteristic
141#543—44no—
142#543—44no—
143C2×#126—48no—
144C2×#126C2318yes—
145C2×#126C2318yes—
146C2×#126C2318yes—
147C2×#123—44no—
148C2×#123C2314yes—
149C2×#123C2314yes—
150C2×#123C2318yes—
151C2×C22⋊Q8C2312yes—
152C2×C22⋊Q8C2312yes—
153C2×C22⋊Q8C2314yes—
154C2×C22⋊Q8C2314yes—
155C2×C22⋊Q8C2314yes—
156C2×C22⋊Q8C2314yes—
157C2×C22⋊Q8C2312yes—
158C2×C22⋊Q8C2312yes—
159C2×C22⋊Q8C2314yes—
160C2×C22⋊Q8C2314yes—
161#518—44no—
162C2×C4×D4C2314yes—
163C2×C4×D4C2314yes—
164C2×#117C2312yes—
165C22×C4⋊C4C2312yes—
166C22×C4⋊C4C2312yes—
167C22×C4⋊C4C2312yes—
168C22×C4⋊C4C2311yescharacteristic
169C22×C4⋊C4C2311yescharacteristic
170C22×C22⋊C4C2312yes—
171C22×C22⋊C4C2312yes—
172C22×C22⋊C4C2312yes—
173C22×C22⋊C4C2311yescharacteristic
174C22×C22⋊C4C2311yescharacteristic
175C22×C22⋊C4C2311yescharacteristic
176C22×C22⋊C4C2312yes—
177C22×C22⋊C4C2312yes—
178C22×C42C2312yes—
179#401C2318yes—
180#400C2314yes—
181#400C2318yes—
182#400C2314yes—
183#400C2318yes—
184#400C2318yes—
185#400C2318yes—
186#400C2318yes—
187#400C2318yes—
188#400C2318yes—
189#400C2318yes—
190#400C2318yes—
191#400C2314yes—
192#400C2318yes—
193#400C2318yes—
194#400C2318yes—
195#400C2318yes—
196#400C2318yes—
197#400C2314yes—
198#400C2318yes—
199#399C2318yes—
200#398C2318yes—
201#398C2318yes—
202#398C2314yes—
203#398C2318yes—
204#398C2318yes—
205#398C2318yes—
206#398C2318yes—
207#398C2318yes—
208#398C2318yes—
209#398C2314yes—
210#398C2318yes—
211#398C2318yes—
212#398C2318yes—
213#398C2318yes—
214#398C2318yes—
215#398C2318yes—
216#398C2318yes—
217#398C2318yes—
218#398C2318yes—
219#398C2318yes—
220#397C2314yes—
221#397C2314yes—
222#397C2318yes—
223#397C2318yes—
224#397C2318yes—
225#397C2318yes—
226#397C2318yes—
227#397C2318yes—
228#397C2318yes—
229#397C2318yes—
230#397C2318yes—
231#397C2318yes—
232#396C2318yes—
233#396C2318yes—
234#396C2318yes—
235#395C2318yes—
236#395C2318yes—
237#395C2318yes—
238#395C2314yes—
239#395C2314yes—
240#395C2318yes—
241#394C2318yes—
242#394C2318yes—
243#393C2314yes—
244#393C2314yes—
245#391C2318yes—
246#391C2314yes—
247#391C2318yes—
248#391C2318yes—
249#391C2314yes—
250#391C2318yes—
251#389C2318yes—
252#389C2318yes—
253#389C2318yes—
254#389C2318yes—
255#389C2318yes—
256#389C2318yes—
257#389C2318yes—
258#389C2318yes—
259#389C2318yes—
260#389C2318yes—
261#389C2318yes—
262#388C2318yes—
263#388C2318yes—
264#388C2318yes—
265#388C2318yes—
266#388C2318yes—
267#388C2318yes—
268#388C2318yes—
269#388C2318yes—
270#388C2318yes—
271#388C2318yes—
272#388C2318yes—
273#388C2318yes—
274#388C2318yes—
275#387C2318yes—
276#387C2318yes—
277#387C2318yes—
278#387C2318yes—
279#387C2318yes—
280#387C2318yes—
281#387C2318yes—
282#387C2318yes—
283#387C2318yes—
284#387C2318yes—
285#387C2318yes—
286#387C2318yes—
287#387C2318yes—
288#387C2318yes—
289#387C2318yes—
290#387C2318yes—
291#387C2318yes—
292#387C2318yes—
293#387C2318yes—
294#387C2318yes—
295#387C2318yes—
296#387C2318yes—
297#387C2318yes—
298#386C2318yes—
299#386C2314yes—
300#386C2314yes—
301#385C2314yes—
302#385C2314yes—
303#385C2314yes—
304#385C2314yes—
305#385C2314yes—
306#385C2318yes—
307#385C2314yes—
308#385C2314yes—
309#385C2318yes—
310#385C2318yes—
311#385C2314yes—
312#385C2314yes—
313#385C2314yes—
314#385C2314yes—
315#385C2314yes—
316#385C2314yes—
317#385C2314yes—
318#385C2318yes—
319#385C2318yes—
320#385C2318yes—
321#385C2314yes—
322#385C2314yes—
323#385C2314yes—
324#385C2314yes—
325#384C2314yes—
326#384C2314yes—
327#383C2318yes—
328#383C2318yes—
329#382C2318yes—
330#382C2318yes—
331#382C2318yes—
332#382C2318yes—
333#382C2318yes—
334#381C2314yes—
335#381C2314yes—
336#381C2312yes—
337#381C2314yes—
338#381C2314yes—
339#381C2314yes—
340#381C2314yes—
341#381C2314yes—
342#381C2314yes—
343#381C2314yes—
344#381C2314yes—
345#381C2314yes—
346#381C2318yes—
347#381C2314yes—
348#381C2314yes—
349#381C2314yes—
350#380C2314yes—
351#380C2312yes—
352#380C2312yes—
353#380C2314yes—
354#380C2314yes—
355#380C2318yes—
356#380C2314yes—
357#380C2314yes—
358#380C2318yes—
359#380C2318yes—
360#379C2314yes—
361#379C2314yes—
362#379C2312yes—
363#379C2312yes—
364#379C2312yes—
365C4×C4⋊C4C2318yes—
366C4×C4⋊C4C2318yes—
367C4×C4⋊C4C2318yes—
368C4×C22⋊C4C2312yes—
369C4×C22⋊C4C2312yes—
370C4×C22⋊C4C2314yes—
371C4×C22⋊C4C2314yes—
372C4×C22⋊C4C2314yes—
373C4×C22⋊C4C2318yes—
374C4×C22⋊C4C2318yes—
375C2×#95C2314yes—
376C2×#95C2314yes—
377C25C2411yescharacteristic
378C25C2411yescharacteristic
379C22×Q8C2412yes—
380C22×Q8C2412yes—
381C22×Q8C2412yes—
382C22×Q8C2412yes—
383C22×D4—24no—
384C22×D4—44no—
385C22×D4C2414yes—
386C23×C4—42no—
387C23×C4—44no—
388C23×C4C2411yescharacteristic
389C23×C4C2411yescharacteristic
390C23×C4C2412yes—
391C23×C4C2412yes—
392C23×C4C2412yes—
393C23×C4C2412yes—
394C23×C4C2412yes—
395C23×C4C2411yescharacteristic
396C23×C4C2411yescharacteristic
397C23×C4C2412yes—
398C23×C4C2411yescharacteristic
399C23×C4C2414yes—
400C23×C4C2412yes—
401C23×C4C2412yes—
402C23×C4C2414yes—
403#126—416no—
404#126—416no—
405#126—416no—
406#123—416no—
407#123—48no—
408#123—48no—
409C22⋊Q8—48no—
410C22⋊Q8—48no—
411C22⋊Q8—48no—
412C22⋊Q8—48no—
413C22⋊Q8—48no—
414C22⋊Q8—48no—
415C22⋊Q8—44no—
416C22⋊Q8—44no—
417C22⋊Q8—44no—
418C22⋊Q8—44no—
419C4×D4—48no—
420C4×D4—48no—
421#117—44no—
422C2×C4⋊C4—42no—
423C2×C4⋊C4—42no—
424C2×C4⋊C4—44no—
425C2×C4⋊C4—44no—
426C2×C4⋊C4—44no—
427C2×C4⋊C4C2414yes—
428C2×C4⋊C4C2414yes—
429C2×C4⋊C4C2418yes—
430C2×C4⋊C4C2418yes—
431C2×C4⋊C4C2418yes—
432C2×C4⋊C4C2412yes—
433C2×C4⋊C4C2412yes—
434C2×C4⋊C4C2412yes—
435C2×C4⋊C4C2412yes—
436C2×C4⋊C4C2414yes—
437C2×C4⋊C4C2414yes—
438C2×C4⋊C4C2412yes—
439C2×C4⋊C4C2412yes—
440C2×C4⋊C4C2414yes—
441C2×C4⋊C4C2414yes—
442C2×C4⋊C4C2414yes—
443C2×C4⋊C4C2414yes—
444C2×C4⋊C4C2418yes—
445C2×C4⋊C4C2418yes—
446C2×C4⋊C4C2418yes—
447C2×C4⋊C4C2418yes—
448C2×C4⋊C4C2418yes—
449C2×C4⋊C4C2418yes—
450C2×C4⋊C4C2418yes—
451C2×C4⋊C4C2418yes—
452C2×C4⋊C4C2418yes—
453C2×C4⋊C4C2418yes—
454C2×C4⋊C4C2418yes—
455C2×C4⋊C4C2418yes—
456C2×C4⋊C4C2418yes—
457C2×C4⋊C4C2418yes—
458C2×C4⋊C4C2418yes—
459C2×C22⋊C4—28no—
460C2×C22⋊C4—24no—
461C2×C22⋊C4—24no—
462C2×C22⋊C4—28no—
463C2×C22⋊C4—28no—
464C2×C22⋊C4—44no—
465C2×C22⋊C4—44no—
466C2×C22⋊C4—42no—
467C2×C22⋊C4C2414yes—
468C2×C22⋊C4C2414yes—
469C2×C22⋊C4C2414yes—
470C2×C22⋊C4C2414yes—
471C2×C22⋊C4C2414yes—
472C2×C22⋊C4C2414yes—
473C2×C22⋊C4C2414yes—
474C2×C22⋊C4C2414yes—
475C2×C22⋊C4C2414yes—
476C2×C22⋊C4C2418yes—
477C2×C22⋊C4C2418yes—
478C2×C22⋊C4C2414yes—
479C2×C22⋊C4C2414yes—
480C2×C22⋊C4C2414yes—
481C2×C22⋊C4C2414yes—
482C2×C22⋊C4C2414yes—
483C2×C22⋊C4C2414yes—
484C2×C22⋊C4C2414yes—
485C2×C22⋊C4C2414yes—
486C2×C22⋊C4C2414yes—
487C2×C22⋊C4C2414yes—
488C2×C22⋊C4C2414yes—
489C2×C22⋊C4C2418yes—
490C2×C22⋊C4C2418yes—
491C2×C42—44no—
492C2×C42C2414yes—
493C2×C42C2418yes—
494C2×C42C2418yes—
495C2×C42C2418yes—
496C2×C42C2418yes—
497C2×C42C2414yes—
498C2×C42C2414yes—
499#95C2418yes—
500#95C2418yes—
501#95C2418yes—
502#95C2418yes—
503#95C2418yes—
504#95C2418yes—
505#95C2418yes—
506#95C2418yes—
507#95C2414yes—
508#95C2418yes—
509#95C2418yes—
510#95C2418yes—
511#95C2414yes—
512#95C2418yes—
513#95C2418yes—
514#95C2418yes—
515#95C2418yes—
516#95C2418yes—
517#95C2418yes—
518#95C2418yes—
519#95C2418yes—
520#95C2418yes—
521#95C2418yes—
522#95C2418yes—
523#95C2414yes—
524#95C2418yes—
525#95C2414yes—
526#95C2418yes—
527#95C2418yes—
528#95C2418yes—
529#95C2414yes—
530#95C2418yes—
531#95C2418yes—
532#95C2418yes—
533#95C2414yes—
534#95C2418yes—
535C24—22no—
536C24—24no—
537C24—42no—
538C24—42no—
539C24—42no—
540C24—42no—
541C24—42no—
542C24H(5,𝔽2)14yes—
543C24C2511yescharacteristic
544C24C2512yes—
545C24C2512yes—
546C2×Q8—42no—
547C2×Q8—42no—
548C2×Q8—42no—
549C2×Q8—42no—
550C2×Q8—44no—
551C2×Q8—44no—
552C2×Q8—44no—
553C2×Q8—44no—
554C2×D4—28no—
555C2×D4—28no—
556C2×D4—44no—
557C2×D4—416no—
558C22×C4—22no—
559C22×C4—24no—
560C22×C4—24no—
561C22×C4—24no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—24no—
565C22×C4—24no—
566C22×C4—24no—
567C22×C4—22no—
568C22×C4—22no—
569C22×C4—28no—
570C22×C4—42no—
571C22×C4—44no—
572C22×C4—44no—
573C22×C4—44no—
574C22×C4—42no—
575C22×C4—42no—
576C22×C4—44no—
577C22×C4—44no—
578C22×C4—44no—
579C22×C4—42no—
580C22×C4—42no—
581C22×C4—44no—
582C22×C4—44no—
583C22×C4—42no—
584C22×C4—42no—
585C22×C4—44no—
586C22×C4—44no—
587C22×C4—44no—
588C22×C4—44no—
589C22×C4—44no—
590C22×C4—88no—
591C22×C4C2518yes—
592C22×C4C2514yes—
593C22×C4C2518yes—
594C22×C4C2518yes—
595C22×C4C2514yes—
596C22×C4C2512yes—
597C22×C4C2512yes—
598C22×C4C2514yes—
599C22×C4C2514yes—
600C22×C4C2512yes—
601C22×C4C2512yes—
602C22×C4C2512yes—
603C22×C4C2514yes—
604C22×C4C2514yes—
605C4⋊C4—44no—
606C4⋊C4—44no—
607C4⋊C4—48no—
608C4⋊C4—48no—
609C4⋊C4—48no—
610C4⋊C4—48no—
611C4⋊C4—48no—
612C4⋊C4—48no—
613C4⋊C4—48no—
614C4⋊C4—48no—
615C4⋊C4—48no—
616C4⋊C4—48no—
617C4⋊C4—48no—
618C4⋊C4—42no—
619C4⋊C4—42no—
620C4⋊C4—44no—
621C4⋊C4—48no—
622C4⋊C4—48no—
623C4⋊C4—44no—
624C4⋊C4—42no—
625C4⋊C4—42no—
626C4⋊C4—44no—
627C4⋊C4—44no—
628C4⋊C4—44no—
629C4⋊C4—44no—
630C4⋊C4—42no—
631C4⋊C4—42no—
632C4⋊C4—48no—
633C4⋊C4—48no—
634C4⋊C4—48no—
635C4⋊C4—48no—
636C4⋊C4—48no—
637C22⋊C4—28no—
638C22⋊C4—28no—
639C22⋊C4—28no—
640C22⋊C4—28no—
641C22⋊C4—28no—
642C22⋊C4—28no—
643C22⋊C4—28no—
644C22⋊C4—28no—
645C22⋊C4—28no—
646C22⋊C4—216no—
647C22⋊C4—216no—
648C22⋊C4—44no—
649C22⋊C4—44no—
650C22⋊C4—44no—
651C22⋊C4—44no—
652C22⋊C4—48no—
653C22⋊C4—44no—
654C22⋊C4—44no—
655C22⋊C4—48no—
656C22⋊C4—44no—
657C22⋊C4—44no—
658C22⋊C4—44no—
659C22⋊C4—44no—
660C22⋊C4—44no—
661C42—48no—
662C42—44no—
663C42—48no—
664C42—48no—
665C42—44no—
666C42—44no—
667C42—48no—
668C23—28no—
669C23—22no—
670C23—22no—
671C23—24no—
672C23—22no—
673C23—24no—
674C23—24no—
675C23—24no—
676C23—24no—
677C23—22no—
678C23—22no—
679C23—44no—
680C23—44no—
681C23—44no—
682C23—82no—
683C23—82no—
684C23—88no—
685C23—164no—
686C23C2×H(5,𝔽2)12yes—
687C23C2×H(5,𝔽2)14yes—
688C23#58514yes—
689C23C2611yescharacteristic
690Q8—162no—
691Q8—162no—
692Q8—162no—
693Q8—162no—
694D4—416no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—22no—
699C2×C4—24no—
700C2×C4—22no—
701C2×C4—22no—
702C2×C4—24no—
703C2×C4—24no—
704C2×C4—22no—
705C2×C4—22no—
706C2×C4—28no—
707C2×C4—28no—
708C2×C4—28no—
709C2×C4—28no—
710C2×C4—28no—
711C2×C4—24no—
712C2×C4—24no—
713C2×C4—24no—
714C2×C4—28no—
715C2×C4—28no—
716C2×C4—28no—
717C2×C4—28no—
718C2×C4—28no—
719C2×C4—28no—
720C2×C4—24no—
721C2×C4—24no—
722C2×C4—28no—
723C2×C4—28no—
724C2×C4—28no—
725C2×C4—28no—
726C2×C4—44no—
727C2×C4—84no—
728C2×C4—84no—
729C2×C4—84no—
730C2×C4—84no—
731C2×C4—84no—
732C2×C4—84no—
733C2×C4—82no—
734C2×C4—82no—
735C2×C4—82no—
736C2×C4—82no—
737C2×C4—88no—
738C2×C4—162no—
739C2×C4—162no—
740C2×C4—164no—
741C22—22no—
742C22—24no—
743C22—24no—
744C22—24no—
745C22—24no—
746C22—22no—
747C22—22no—
748C22—28no—
749C22—42no—
750C22—42no—
751C22—44no—
752C22—44no—
753C22—48no—
754C22—88no—
755C22—164no—
756C22C22×H(5,𝔽2)11yescharacteristic
757C22C2×#58512yes—
758C222−1+612yes—
759C222−1+612yes—
760C4—42no—
761C4—42no—
762C4—42no—
763C4—44no—
764C4—44no—
765C4—44no—
766C4—44no—
767C4—44no—
768C4—42no—
769C4—42no—
770C4—44no—
771C4—48no—
772C4—48no—
773C4—48no—
774C2—44no—
775C2—42no—
776C2—44no—
777C2#6282011yescharacteristic
778C2#6287111yescharacteristic
779C2#6287111yescharacteristic
780C2#6287314yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58751C2semidirect
2. #58589C2semidirect
3. #58429C2semidirect
4. #53920C2semidirect
5. #46910C2semidirect
6. #46882C2semidirect
7. #46838C2semidirect
8. #46838C2semidirect
10. #36970C2semidirect
11. #36970C2semidirect
12. #36881C2semidirect
13. #36732C2semidirect
23. #2855C22semidirect
24. #2855C22semidirect
27. #2845C22semidirect
28. #2843C22semidirect
30. #2839C22semidirect
31. #2835C22semidirect
32. #2833C22semidirect
33. #2809C22semidirect
34. #2802C22semidirect
35. #2799C22semidirect
36. #2794C22semidirect
37. #2792C22semidirect
38. #2791C22semidirect
39. #2788C22semidirect
40. #2774C22semidirect
41. #2770C22semidirect
42. #2767C22semidirect
43. #2766C22semidirect
45. #2763C22semidirect
46. #2762C22semidirect
47. #2747C22semidirect
50. #2744C22semidirect
51. #2744C22semidirect
53. #2739C22semidirect
54. #2739C22semidirect
55. #2738C22semidirect
56. #2738C22semidirect
57. #2722C22semidirect
60. #2698C22semidirect
61. #2698C22semidirect
62. #2698C22semidirect
66. #2689C22semidirect
67. #2689C22semidirect
68. #2689C22semidirect
73. #2666C22semidirect
74. #2659C22semidirect
75. #2655C22semidirect
76. #2646C22semidirect
79. #2627C22semidirect
80. #2627C22semidirect
81. #2586C22semidirect
82. #2583C22semidirect
83. #2583C22semidirect
86. #2575C22semidirect
87. #2575C22semidirect
88. #2574C22semidirect
90. #2573C22semidirect
91. #2571C22semidirect
95. #2523C22semidirect
96. #2520C22semidirect
98. #2515C22semidirect
99. #2507C22semidirect
100. #2505C22semidirect
101. #2505C22semidirect
102. #2503C22semidirect
103. #2503C22semidirect
106. #2495C22semidirect
126. #2334C22semidirect
127. #2329C22semidirect
128. #2329C22semidirect

Maximal subgroups

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

subgroupindex
#587512
#585892
#584292
#539202
#469102
#468822
#468382
#463882
#369702
#368812
#367322
#367202
#354522
#354482