Finite Group Databasebeta

← #8402444

Subgroups — #8402444

Order 512.

4505 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59243C214yesmaximal, complemented
2#55456C218yesmaximal, complemented
3#50847C218yesmaximal, complemented
4#48263C218yesmaximal, complemented
5#45642C214yesmaximal, complemented
6#45388C212yesmaximal, complemented
7#45350C212yesmaximal, complemented
8#44121C218yesmaximal, complemented
9#42878C212yesmaximal, complemented
10#40193C214yesmaximal, complemented
11#39937C214yesmaximal, complemented
12#37433C211yesmaximal, characteristic, complemented
13#36539C212yesmaximal, complemented
14#36185C212yesmaximal, complemented
15#36022C212yesmaximal, complemented
16#35624C211yesmaximal, characteristic, complemented
17#34967C211yesmaximal, characteristic, complemented
18C2×#556C2212yescomplemented
19C2×#555C2212yes—
20C2×#541C2211yescharacteristic
21C2×#518C2211yescharacteristic
22#2864C2211yescharacteristic, complemented
23#2862C2211yescharacteristic, complemented
24#2854C2214yes—
25#2850C2214yes—
26#2825C2218yes—
27#2820C2214yescomplemented
28#2803C2218yes—
29#2801C2218yes—
30#2789C2218yescomplemented
31#2786C2218yes—
32#2786C2218yescomplemented
33#2786C2218yescomplemented
34#2773C2218yescomplemented
35#2773C2218yescomplemented
36#2761C2218yescomplemented
37#2754C2218yes—
38#2746C2218yescomplemented
39#2735C2218yes—
40#2733C2218yescomplemented
41#2727C2218yes—
42#2725C2218yescomplemented
43#2714C2218yescomplemented
44#2707C2218yescomplemented
45#2706C2218yescomplemented
46#2706C2218yescomplemented
47#2705C2218yes—
48#2705C2218yescomplemented
49#2698C2218yescomplemented
50#2685C2218yes—
51#2678C2218yes—
52#2662C2214yes—
53#2651C2218yescomplemented
54#2648C2218yescomplemented
55#2637C2214yes—
56#2635C2214yes—
57#2628C2212yes—
58#2602C2218yescomplemented
59#2594C2218yes—
60#2594C2218yescomplemented
61#2594C2218yescomplemented
62#2594C2218yescomplemented
63#2584C2214yescomplemented
64#2576C2218yescomplemented
65#2567C2212yescomplemented
66#2566C2212yes—
67#2558C2218yescomplemented
68#2556C2218yescomplemented
69#2552C2214yescomplemented
70#2547C2212yes—
71#2542C2212yes—
72#2540C2214yes—
73#2539C2214yes—
74#2538C2214yes—
75#2536C2212yescomplemented
76#2535C2212yes—
77#2522C2218yescomplemented
78#2522C2214yescomplemented
79#2521C2218yescomplemented
80#2521C2218yescomplemented
81#2519C2218yescomplemented
82#2516C2214yes—
83#2513C2218yes—
84#2513C2218yescomplemented
85#2512C2214yes—
86#2508C2214yescomplemented
87#2500C2214yes—
88#2499C2212yes—
89#2499C2214yescomplemented
90#2494C2214yes—
91#2494C2214yescomplemented
92#2494C2218yescomplemented
93#2490C2218yes—
94#2482C2214yes—
95#2480C2218yes—
96#2479C2218yescomplemented
97#2472C2218yes—
98#2464C2214yes—
99#2461C2218yes—
100#2460C2218yes—
101#2457C2214yescomplemented
102#2448C2214yes—
103#2448C2218yescomplemented
104#2441C2214yescomplemented
105#2435C2212yes—
106#2429C2214yescomplemented
107#2427C2218yescomplemented
108#2426C2214yes—
109#2422C2214yes—
110#2415C2214yes—
111#2415C2214yescomplemented
112#2414C2214yes—
113#2408C2214yes—
114#2402C2211yescharacteristic, complemented
115#2397C2211yescharacteristic, complemented
116#2395C2214yes—
117#2392C2212yes—
118#2375C2218yes—
119#2374C2218yescomplemented
120#2370C2218yescomplemented
121#2363C2214yes—
122#2362C2218yescomplemented
123#2357C2212yes—
124#2355C2214yescomplemented
125#2354C2214yes—
126#2354C2214yescomplemented
127#2351C2212yescomplemented
128#2335C2218yescomplemented
129#2334C2218yescomplemented
130#2331C2212yescomplemented
131#2326C2212yes—
132C4×#124C2212yes—
133C4×C22⋊Q8C2214yescomplemented
134C4×#123C2214yescomplemented
135C4×#121C2214yes—
136#2298C2211yescharacteristic
137#2285C2214yescomplemented
138C42×D4C2212yescomplemented
139C23×D4C2311yescharacteristic
140#556—48no—
141#555—48no—
142#541—44no—
143C2×C4⋊Q8C2312yes—
144C2×C4⋊Q8C2311yescharacteristic
145C2×#126C2318yes—
146C2×#126C2314yes—
147C2×#126C2318yes—
148C2×#125C2314yes—
149C2×#125C2311yescharacteristic
150C2×#125C2318yes—
151C2×#124C2314yes—
152C2×#124C2312yes—
153C2×#124C2312yes—
154C2×#124C2318yes—
155C2×#123C2318yes—
156C2×#123C2318yes—
157C2×#123C2314yes—
158C2×C22⋊Q8C2314yes—
159C2×C22⋊Q8C2318yes—
160C2×C22⋊Q8C2312yes—
161C2×C22⋊Q8C2314yes—
162C2×#121C2314yes—
163C2×#121C2314yes—
164C2×#121C2314yes—
165C2×#121C2314yes—
166C2×#120C2318yes—
167#518—44no—
168C2×C4×Q8C2312yes—
169C2×C4×Q8C2314yes—
170C2×C4×Q8C2314yes—
171C2×C4×D4C2312yes—
172C2×C4×D4C2312yes—
173C2×C4×D4C2312yes—
174C2×C4×D4C2314yes—
175C2×C4×D4C2314yes—
176C2×C4×D4C2314yes—
177C2×C4×D4C2314yes—
178C2×#117C2311yescharacteristic
179C2×#117C2311yescharacteristic
180C2×#117C2314yes—
181C2×#117C2314yes—
182C2×#117C2314yes—
183C22×C22⋊C4C2314yes—
184C22×C42C2314yes—
185#401C2318yes—
186#401C2318yes—
187#400C2314yes—
188#400C2318yes—
189#400C2314yes—
190#399C2318yes—
191#399C2314yes—
192#399C2314yes—
193#399C2314yes—
194#399C2314yes—
195#399C2318yes—
196#399C2318yes—
197#398C2312yes—
198#398C2314yes—
199#398C2318yes—
200#398C2318yes—
201#398C2318yes—
202#398C2318yes—
203#398C2314yes—
204#397C2318yes—
205#397C2318yes—
206#397C2318yes—
207#397C2318yes—
208#397C2318yes—
209#397C2314yes—
210#397C2318yes—
211#397C2318yes—
212#397C2312yes—
213#397C2318yes—
214#397C2318yes—
215#397C2318yes—
216#397C2318yes—
217#396C2318yes—
218#396C2318yes—
219#396C2318yes—
220#396C2318yes—
221#396C2318yes—
222#396C2314yes—
223#396C2318yes—
224#396C2318yes—
225#395C2314yes—
226#395C2314yes—
227#395C2314yes—
228#394C2312yes—
229#394C2314yes—
230#394C2318yes—
231#394C2318yes—
232#394C2318yes—
233#394C2318yes—
234#394C2314yes—
235#394C2318yes—
236#394C2318yes—
237#394C2318yes—
238#394C2318yes—
239#394C2318yes—
240#393C2314yes—
241#392C2318yes—
242#392C2318yes—
243#392C2318yes—
244#392C2314yes—
245#392C2312yes—
246#392C2314yes—
247#391C2314yes—
248#391C2312yes—
249#391C2318yes—
250#391C2318yes—
251#391C2312yes—
252#390C2312yes—
253#390C2312yes—
254#390C2318yes—
255#390C2314yes—
256#390C2314yes—
257#390C2318yes—
258#390C2318yes—
259#390C2318yes—
260#390C2318yes—
261#390C2318yes—
262#390C2318yes—
263#390C2318yes—
264#390C2314yes—
265#389C2318yes—
266#389C2318yes—
267#389C2318yes—
268#389C2318yes—
269#389C2318yes—
270#389C2314yes—
271#389C2318yes—
272#389C2318yes—
273#389C2318yes—
274#389C2314yes—
275#389C2314yes—
276#389C2314yes—
277#389C2314yes—
278#388C2318yes—
279#388C2318yes—
280#388C2318yes—
281#388C2318yes—
282#388C2318yes—
283#388C2318yes—
284#388C2318yes—
285#388C2318yes—
286#388C2318yes—
287#388C2318yes—
288#388C2314yes—
289#388C2318yes—
290#388C2318yes—
291#388C2318yes—
292#388C2314yes—
293#388C2318yes—
294#388C2318yes—
295#388C2318yes—
296#388C2318yes—
297#388C2318yes—
298#388C2318yes—
299#388C2318yes—
300#388C2318yes—
301#388C2318yes—
302#388C2318yes—
303#388C2318yes—
304#388C2318yes—
305#388C2314yes—
306#388C2314yes—
307#388C2314yes—
308#387C2318yes—
309#387C2318yes—
310#387C2318yes—
311#387C2314yes—
312#387C2318yes—
313#387C2318yes—
314#387C2318yes—
315#387C2318yes—
316#387C2318yes—
317#387C2318yes—
318#387C2314yes—
319#387C2318yes—
320#387C2318yes—
321#387C2318yes—
322#387C2314yes—
323#386C2314yes—
324#386C2318yes—
325#386C2318yes—
326#386C2318yes—
327#386C2318yes—
328#386C2318yes—
329#386C2314yes—
330#386C2314yes—
331#385C2318yes—
332#385C2318yes—
333#385C2318yes—
334#385C2318yes—
335#385C2314yes—
336#384C2312yes—
337#384C2314yes—
338#384C2314yes—
339#382C2314yes—
340#382C2312yes—
341#382C2312yes—
342#382C2318yes—
343#382C2314yes—
344#382C2318yes—
345#381C2314yes—
346#381C2314yes—
347#380C2318yes—
348#380C2314yes—
349#380C2314yes—
350#380C2314yes—
351#380C2318yes—
352#380C2318yes—
353#380C2314yes—
354#379C2318yes—
355#379C2318yes—
356C4×C4⋊C4C2312yes—
357C4×C4⋊C4C2312yes—
358C4×C4⋊C4C2314yes—
359C4×C4⋊C4C2314yes—
360C4×C4⋊C4C2318yes—
361C4×C4⋊C4C2318yes—
362C4×C4⋊C4C2318yes—
363C4×C4⋊C4C2314yes—
364C4×C4⋊C4C2318yes—
365C4×C4⋊C4C2318yes—
366C4×C4⋊C4C2318yes—
367C4×C4⋊C4C2314yes—
368C4×C4⋊C4C2314yes—
369C4×C22⋊C4C2314yes—
370C4×C22⋊C4C2318yes—
371C4×C22⋊C4C2318yes—
372C4×C22⋊C4C2318yes—
373C4×C22⋊C4C2314yes—
374C4×C22⋊C4C2314yes—
375C4×C22⋊C4C2314yes—
376C4×C22⋊C4C2314yes—
377C4×C22⋊C4C2312yes—
378#376C2311yescharacteristic
379C43C2311yescharacteristic
380C25C2412yes—
381C22×Q8C2412yes—
382C22×Q8C2414yes—
383C22×D4—42no—
384C22×D4—44no—
385C22×D4C2412yes—
386C22×D4C2412yes—
387C22×D4C2414yes—
388C22×D4C2412yes—
389C22×D4C2414yes—
390C22×D4C2418yes—
391C22×D4C2418yes—
392C23×C4C2414yes—
393C23×C4C2411yescharacteristic
394C23×C4C2414yes—
395C23×C4C2414yes—
396C23×C4C2414yes—
397C23×C4C2414yes—
398C4⋊Q8—28no—
399C4⋊Q8—42no—
400#126—48no—
401#126—416no—
402#126—416no—
403#125—42no—
404#125—48no—
405#125—416no—
406#124—44no—
407#124—44no—
408#124—48no—
409#124—416no—
410#123—48no—
411#123—416no—
412#123—416no—
413C22⋊Q8—416no—
414C22⋊Q8—48no—
415C22⋊Q8—44no—
416C22⋊Q8—48no—
417#121—48no—
418#121—48no—
419#121—48no—
420#121—48no—
421#120—416no—
422C4×Q8—28no—
423C4×Q8—48no—
424C4×Q8—48no—
425C4×D4—28no—
426C4×D4—28no—
427C4×D4—44no—
428C4×D4—48no—
429C4×D4—48no—
430C4×D4—48no—
431C4×D4—48no—
432#117—24no—
433#117—42no—
434#117—48no—
435#117—48no—
436#117—48no—
437C2×C4⋊C4C2412yes—
438C2×C4⋊C4C2412yes—
439C2×C4⋊C4C2412yes—
440C2×C4⋊C4C2414yes—
441C2×C4⋊C4C2412yes—
442C2×C4⋊C4C2414yes—
443C2×C4⋊C4C2414yes—
444C2×C4⋊C4C2414yes—
445C2×C4⋊C4C2414yes—
446C2×C4⋊C4C2414yes—
447C2×C4⋊C4C2418yes—
448C2×C4⋊C4C2418yes—
449C2×C4⋊C4C2414yes—
450C2×C4⋊C4C2414yes—
451C2×C4⋊C4C2414yes—
452C2×C4⋊C4C2418yes—
453C2×C4⋊C4C2418yes—
454C2×C4⋊C4C2414yes—
455C2×C4⋊C4C2418yes—
456C2×C4⋊C4C2418yes—
457C2×C4⋊C4C2414yes—
458C2×C4⋊C4C2418yes—
459C2×C4⋊C4C2418yes—
460C2×C4⋊C4C2414yes—
461C2×C4⋊C4C2414yes—
462C2×C4⋊C4C2418yes—
463C2×C4⋊C4C2418yes—
464C2×C4⋊C4C2418yes—
465C2×C4⋊C4C2418yes—
466C2×C22⋊C4—48no—
467C2×C22⋊C4C2412yes—
468C2×C22⋊C4C2414yes—
469C2×C22⋊C4C2414yes—
470C2×C22⋊C4C2414yes—
471C2×C22⋊C4C2418yes—
472C2×C22⋊C4C2418yes—
473C2×C22⋊C4C2414yes—
474C2×C22⋊C4C2412yes—
475C2×C22⋊C4C2414yes—
476C2×C22⋊C4C2418yes—
477C2×C22⋊C4C2418yes—
478C2×C22⋊C4C2418yes—
479C2×C22⋊C4C2414yes—
480C2×C22⋊C4C2414yes—
481C2×C22⋊C4C2414yes—
482C2×C22⋊C4C2414yes—
483C2×C22⋊C4C2414yes—
484C2×C22⋊C4C2418yes—
485C2×C22⋊C4C2414yes—
486C2×C22⋊C4C2418yes—
487C2×C22⋊C4C2418yes—
488C2×C22⋊C4C2414yes—
489C2×C22⋊C4C2418yes—
490C2×C22⋊C4C2418yes—
491C2×C22⋊C4C2418yes—
492C2×C22⋊C4C2418yes—
493C2×C22⋊C4C2414yes—
494C2×C22⋊C4C2418yes—
495C2×C22⋊C4C2418yes—
496C2×C22⋊C4C2418yes—
497C2×C22⋊C4C2418yes—
498C2×C22⋊C4C2418yes—
499C2×C42—48no—
500C2×C42C2411yescharacteristic
501C2×C42C2412yes—
502C2×C42C2414yes—
503C2×C42C2414yes—
504C2×C42C2412yes—
505C2×C42C2418yes—
506C2×C42C2412yes—
507C2×C42C2418yes—
508C2×C42C2414yes—
509C2×C42C2418yes—
510C2×C42C2418yes—
511C2×C42C2418yes—
512C2×C42C2414yes—
513C2×C42C2414yes—
514C2×C42C2411yescharacteristic
515#95C2414yes—
516#95C2412yes—
517#95C2414yes—
518#95C2414yes—
519#95C2418yes—
520#95C2412yes—
521#95C2414yes—
522#95C2418yes—
523#95C2414yes—
524#95C2414yes—
525#95C2414yes—
526#95C2418yes—
527#95C2418yes—
528#95C2418yes—
529#95C2418yes—
530#95C2418yes—
531#95C2418yes—
532#95C2418yes—
533#95C2418yes—
534#95C2414yes—
535#95C2418yes—
536#95C2414yes—
537#95C2414yes—
538#95C2418yes—
539#95C2414yes—
540#95C2418yes—
541#95C2418yes—
542#95C2418yes—
543#95C2418yes—
544C24—42no—
545C24—44no—
546C24—48no—
547C24C2511yescharacteristic
548C24C2514yes—
549C24C2514yes—
550C2×Q8—24no—
551C2×Q8—28no—
552C2×Q8—24no—
553C2×Q8—24no—
554C2×Q8—48no—
555C2×D4—24no—
556C2×D4—24no—
557C2×D4—24no—
558C2×D4—24no—
559C2×D4—28no—
560C2×D4—42no—
561C2×D4—44no—
562C2×D4—44no—
563C2×D4—44no—
564C2×D4—44no—
565C2×D4—44no—
566C2×D4—44no—
567C2×D4—44no—
568C2×D4—48no—
569C2×D4—48no—
570C2×D4—48no—
571C2×D4—48no—
572C2×D4—48no—
573C2×D4—48no—
574C2×D4—416no—
575C22×C4—22no—
576C22×C4—28no—
577C22×C4—28no—
578C22×C4—28no—
579C22×C4—24no—
580C22×C4—28no—
581C22×C4—28no—
582C22×C4—44no—
583C22×C4—44no—
584C22×C4—44no—
585C22×C4—44no—
586C22×C4—48no—
587C22×C4—44no—
588C22×C4—44no—
589C22×C4—48no—
590C22×C4C2514yes—
591C22×C4C2514yes—
592C22×C4C2518yes—
593C22×C4C2514yes—
594C22×C4C2511yescharacteristic
595C22×C4C2514yes—
596C22×C4C2518yes—
597C22×C4C2512yes—
598C22×C4C2514yes—
599C22×C4C2514yes—
600C22×C4C2514yes—
601C22×C4C2512yes—
602C22×C4C2514yes—
603C22×C4C2511yescharacteristic
604C4⋊C4—24no—
605C4⋊C4—24no—
606C4⋊C4—24no—
607C4⋊C4—24no—
608C4⋊C4—28no—
609C4⋊C4—28no—
610C4⋊C4—28no—
611C4⋊C4—28no—
612C4⋊C4—28no—
613C4⋊C4—28no—
614C4⋊C4—216no—
615C4⋊C4—216no—
616C4⋊C4—28no—
617C4⋊C4—44no—
618C4⋊C4—44no—
619C4⋊C4—48no—
620C4⋊C4—48no—
621C4⋊C4—48no—
622C4⋊C4—48no—
623C4⋊C4—44no—
624C4⋊C4—44no—
625C4⋊C4—48no—
626C4⋊C4—48no—
627C4⋊C4—48no—
628C4⋊C4—48no—
629C4⋊C4—48no—
630C4⋊C4—44no—
631C4⋊C4—44no—
632C4⋊C4—48no—
633C22⋊C4—24no—
634C22⋊C4—28no—
635C22⋊C4—28no—
636C22⋊C4—28no—
637C22⋊C4—216no—
638C22⋊C4—216no—
639C22⋊C4—28no—
640C22⋊C4—42no—
641C22⋊C4—44no—
642C22⋊C4—48no—
643C22⋊C4—48no—
644C22⋊C4—48no—
645C22⋊C4—44no—
646C22⋊C4—44no—
647C22⋊C4—44no—
648C22⋊C4—44no—
649C22⋊C4—44no—
650C22⋊C4—48no—
651C22⋊C4—48no—
652C22⋊C4—44no—
653C22⋊C4—48no—
654C22⋊C4—48no—
655C22⋊C4—48no—
656C22⋊C4—44no—
657C22⋊C4—48no—
658C22⋊C4—48no—
659C22⋊C4—48no—
660C22⋊C4—44no—
661C22⋊C4—48no—
662C22⋊C4—48no—
663C22⋊C4—48no—
664C22⋊C4—48no—
665C42—22no—
666C42—28no—
667C42—24no—
668C42—28no—
669C42—24no—
670C42—44no—
671C42—44no—
672C42—48no—
673C42—42no—
674C42—48no—
675C42—44no—
676C42—48no—
677C42—48no—
678C42—48no—
679C42H(5,𝔽2)14yes—
680C23—21no—
681C23—24no—
682C23—24no—
683C23—28no—
684C23—24no—
685C23—24no—
686C23—28no—
687C23—24no—
688C23—24no—
689C23—24no—
690C23—24no—
691C23—22no—
692C23—24no—
693C23—24no—
694C23—24no—
695C23—48no—
696C23—168no—
697C23—164no—
698C23C2611yescharacteristic
699Q8—48no—
700Q8—88no—
701D4—48no—
702D4—48no—
703D4—48no—
704D4—88no—
705D4—88no—
706D4—168no—
707D4—168no—
708C2×C4—24no—
709C2×C4—24no—
710C2×C4—24no—
711C2×C4—24no—
712C2×C4—22no—
713C2×C4—24no—
714C2×C4—24no—
715C2×C4—24no—
716C2×C4—28no—
717C2×C4—21no—
718C2×C4—24no—
719C2×C4—24no—
720C2×C4—24no—
721C2×C4—24no—
722C2×C4—24no—
723C2×C4—24no—
724C2×C4—28no—
725C2×C4—24no—
726C2×C4—28no—
727C2×C4—28no—
728C2×C4—24no—
729C2×C4—28no—
730C2×C4—28no—
731C2×C4—24no—
732C2×C4—24no—
733C2×C4—28no—
734C2×C4—24no—
735C2×C4—24no—
736C2×C4—24no—
737C2×C4—22no—
738C2×C4—24no—
739C2×C4—28no—
740C2×C4—416no—
741C2×C4—44no—
742C2×C4—88no—
743C2×C4—88no—
744C2×C4—88no—
745C2×C4—164no—
746C2×C4C2×H(5,𝔽2)14yes—
747C2×C4C2×H(5,𝔽2)12yes—
748C2×C4#58518yes—
749C2×C4#58514yes—
750C22—44no—
751C22—41no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—48no—
758C22—44no—
759C22—48no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—44no—
764C22—42no—
765C22—168no—
766C22C22×H(5,𝔽2)11yescharacteristic
767C22C2×#58512yes—
768C22C2×#58514yes—
769C4—28no—
770C4—24no—
771C4—44no—
772C4—41no—
773C4—44no—
774C4—44no—
775C4—44no—
776C4—44no—
777C4—48no—
778C4—44no—
779C4—44no—
780C4—42no—
781C4—48no—
782C4#353914yes—
783C2—84no—
784C2—84no—
785C2—81no—
786C2C2×#353911yescharacteristic
787C2#6283612yes—
788C2#6302914yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59243C2semidirect
2. #55456C2semidirect
3. #50847C2semidirect
4. #48263C2semidirect
5. #45642C2semidirect
6. #45388C2semidirect
7. #45350C2semidirect
8. #44121C2semidirect
9. #42878C2semidirect
10. #40193C2semidirect
11. #39937C2semidirect
12. #37433C2semidirect
13. #36539C2semidirect
14. #36185C2semidirect
15. #36022C2semidirect
16. #35624C2semidirect
17. #34967C2semidirect
18. C2×#556C22semidirect
22. #2864C22semidirect
23. #2862C22semidirect
27. #2820C22semidirect
30. #2789C22semidirect
32. #2786C22semidirect
33. #2786C22semidirect
34. #2773C22semidirect
35. #2773C22semidirect
36. #2761C22semidirect
38. #2746C22semidirect
40. #2733C22semidirect
42. #2725C22semidirect
43. #2714C22semidirect
44. #2707C22semidirect
45. #2706C22semidirect
46. #2706C22semidirect
48. #2705C22semidirect
49. #2698C22semidirect
53. #2651C22semidirect
54. #2648C22semidirect
58. #2602C22semidirect
60. #2594C22semidirect
61. #2594C22semidirect
62. #2594C22semidirect
63. #2584C22semidirect
64. #2576C22semidirect
65. #2567C22semidirect
67. #2558C22semidirect
68. #2556C22semidirect
69. #2552C22semidirect
75. #2536C22semidirect
77. #2522C22semidirect
78. #2522C22semidirect
79. #2521C22semidirect
80. #2521C22semidirect
81. #2519C22semidirect
84. #2513C22semidirect
86. #2508C22semidirect
89. #2499C22semidirect
91. #2494C22semidirect
92. #2494C22semidirect
96. #2479C22semidirect
101. #2457C22semidirect
103. #2448C22semidirect
104. #2441C22semidirect
106. #2429C22semidirect
107. #2427C22semidirect
111. #2415C22semidirect
114. #2402C22semidirect
115. #2397C22semidirect
119. #2374C22semidirect
120. #2370C22semidirect
122. #2362C22semidirect
124. #2355C22semidirect
126. #2354C22semidirect
127. #2351C22semidirect
128. #2335C22semidirect
129. #2334C22semidirect
130. #2331C22semidirect
133. C4×C22⋊Q8C22semidirect
134. C4×#123C22semidirect
137. #2285C22semidirect
138. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#592432
#554562
#508472
#482632
#456422
#453882
#453502
#441212
#428782
#401932
#399372
#374332
#365392
#361852
#360222
#356242
#349672