Finite Group Databasebeta

← #8402268

Subgroups — #8402268

Order 512.

4605 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59309C214yesmaximal, complemented
2#55076C218yesmaximal, complemented
3#51812C218yesmaximal, complemented
4#48688C218yesmaximal, complemented
5#45701C214yesmaximal, complemented
6#45356C212yesmaximal, complemented
7#45318C212yesmaximal, complemented
8#43968C218yesmaximal, complemented
9#42790C212yesmaximal, complemented
10#39145C214yesmaximal, complemented
11#38998C214yesmaximal, complemented
12#37434C211yesmaximal, characteristic, complemented
13#36539C212yesmaximal, complemented
14#36164C212yesmaximal, complemented
15#35730C212yesmaximal, complemented
16#35624C211yesmaximal, characteristic, complemented
17#34967C211yesmaximal, characteristic, complemented
18C2×#554C2212yescomplemented
19C2×#547C2212yes—
20C2×#541C2211yescharacteristic
21C2×#518C2211yescharacteristic
22#2864C2211yescharacteristic, complemented
23#2862C2211yescharacteristic, complemented
24#2854C2214yes—
25#2850C2214yes—
26#2837C2218yes—
27#2822C2214yescomplemented
28#2798C2218yes—
29#2783C2218yescomplemented
30#2782C2218yescomplemented
31#2781C2218yescomplemented
32#2780C2218yescomplemented
33#2766C2218yescomplemented
34#2765C2218yescomplemented
35#2761C2218yes—
36#2758C2218yescomplemented
37#2756C2218yes—
38#2756C2218yes—
39#2754C2218yescomplemented
40#2749C2218yescomplemented
41#2740C2218yescomplemented
42#2738C2218yescomplemented
43#2738C2218yescomplemented
44#2735C2218yes—
45#2732C2218yescomplemented
46#2704C2218yescomplemented
47#2703C2218yes—
48#2702C2218yes—
49#2697C2218yes—
50#2694C2218yescomplemented
51#2668C2218yes—
52#2664C2214yes—
53#2654C2218yescomplemented
54#2643C2218yescomplemented
55#2638C2214yes—
56#2636C2214yes—
57#2628C2212yes—
58#2602C2218yescomplemented
59#2594C2218yescomplemented
60#2576C2218yescomplemented
61#2570C2214yescomplemented
62#2569C2218yescomplemented
63#2568C2212yescomplemented
64#2566C2212yes—
65#2563C2212yes—
66#2562C2214yescomplemented
67#2561C2214yes—
68#2547C2212yes—
69#2540C2214yes—
70#2536C2214yes—
71#2536C2212yescomplemented
72#2535C2212yes—
73#2532C2218yescomplemented
74#2530C2218yescomplemented
75#2529C2218yes—
76#2526C2218yescomplemented
77#2522C2214yescomplemented
78#2516C2214yes—
79#2515C2218yescomplemented
80#2513C2214yes—
81#2510C2218yes—
82#2509C2214yescomplemented
83#2504C2214yes—
84#2503C2214yescomplemented
85#2499C2212yes—
86#2495C2214yes—
87#2494C2214yescomplemented
88#2489C2218yescomplemented
89#2488C2218yescomplemented
90#2488C2218yescomplemented
91#2480C2218yes—
92#2464C2214yes—
93#2460C2218yes—
94#2457C2218yes—
95#2457C2218yescomplemented
96#2457C2214yescomplemented
97#2456C2218yescomplemented
98#2448C2214yes—
99#2444C2218yes—
100#2442C2214yescomplemented
101#2435C2212yes—
102#2429C2214yescomplemented
103#2426C2214yes—
104#2425C2218yescomplemented
105#2420C2214yes—
106#2419C2218yescomplemented
107#2418C2218yes—
108#2417C2214yes—
109#2417C2214yescomplemented
110#2416C2214yes—
111#2408C2214yes—
112#2407C2218yescomplemented
113#2404C2214yes—
114#2402C2211yescharacteristic, complemented
115#2397C2211yescharacteristic, complemented
116#2392C2212yes—
117#2388C2214yes—
118#2375C2218yes—
119#2374C2218yescomplemented
120#2361C2214yes—
121#2357C2212yes—
122#2356C2214yescomplemented
123#2353C2218yescomplemented
124#2352C2214yes—
125#2351C2212yescomplemented
126D4×C4⋊C4C2214yescomplemented
127#2339C2218yescomplemented
128#2331C2212yescomplemented
129#2326C2212yes—
130#2325C2218yescomplemented
131#2319C2218yescomplemented
132C4×#124C2212yes—
133C4×C22⋊Q8C2214yescomplemented
134C4×#123C2214yescomplemented
135C4×#121C2214yes—
136#2298C2211yescharacteristic
137C2×#382C2214yescomplemented
138C42×D4C2212yescomplemented
139C22×#41C2314yes—
140C23×D4C2311yescharacteristic
141#554—48no—
142#547—48no—
143#541—44no—
144C2×C4⋊Q8C2312yes—
145C2×C4⋊Q8C2311yescharacteristic
146C2×#126C2314yes—
147C2×#125C2314yes—
148C2×#125C2311yescharacteristic
149C2×#125C2314yes—
150C2×#124C2312yes—
151C2×#124C2312yes—
152C2×#123C2318yes—
153C2×#123C2318yes—
154C2×#123C2314yes—
155C2×C22⋊Q8C2314yes—
156C2×C22⋊Q8C2314yes—
157C2×C22⋊Q8C2318yes—
158C2×C22⋊Q8C2312yes—
159C2×C22⋊Q8C2314yes—
160C2×#121C2318yes—
161C2×#121C2314yes—
162C2×#121C2314yes—
163C2×#121C2314yes—
164C2×#120C2318yes—
165#518—44no—
166C2×C4×Q8C2312yes—
167C2×C4×Q8C2314yes—
168C2×C4×D4C2312yes—
169C2×C4×D4C2312yes—
170C2×C4×D4C2314yes—
171C2×C4×D4C2312yes—
172C2×C4×D4C2318yes—
173C2×C4×D4C2318yes—
174C2×C4×D4C2314yes—
175C2×C4×D4C2314yes—
176C2×C4×D4C2314yes—
177C2×C4×D4C2314yes—
178C2×#117C2311yescharacteristic
179C2×#117C2311yescharacteristic
180C22×C4⋊C4C2314yes—
181C22×C4⋊C4C2314yes—
182C22×C22⋊C4C2314yes—
183C22×C42C2314yes—
184#401C2318yes—
185#400C2314yes—
186#400C2314yes—
187#400C2314yes—
188#400C2318yes—
189#400C2318yes—
190#400C2318yes—
191#400C2318yes—
192#400C2318yes—
193#400C2318yes—
194#400C2318yes—
195#400C2314yes—
196#399C2318yes—
197#399C2318yes—
198#399C2314yes—
199#399C2314yes—
200#398C2312yes—
201#398C2318yes—
202#398C2318yes—
203#398C2314yes—
204#398C2318yes—
205#398C2318yes—
206#398C2318yes—
207#398C2314yes—
208#398C2318yes—
209#397C2312yes—
210#397C2314yes—
211#397C2318yes—
212#397C2318yes—
213#397C2318yes—
214#397C2318yes—
215#397C2318yes—
216#397C2318yes—
217#397C2318yes—
218#397C2318yes—
219#397C2318yes—
220#397C2318yes—
221#396C2318yes—
222#396C2318yes—
223#396C2318yes—
224#396C2318yes—
225#396C2314yes—
226#396C2318yes—
227#396C2318yes—
228#395C2314yes—
229#394C2312yes—
230#394C2314yes—
231#394C2318yes—
232#394C2318yes—
233#394C2318yes—
234#394C2318yes—
235#394C2318yes—
236#394C2314yes—
237#394C2318yes—
238#393C2314yes—
239#393C2314yes—
240#393C2314yes—
241#392C2314yes—
242#392C2312yes—
243#392C2318yes—
244#392C2314yes—
245#392C2318yes—
246#391C2314yes—
247#391C2318yes—
248#391C2312yes—
249#391C2318yes—
250#391C2318yes—
251#391C2312yes—
252#390C2314yes—
253#390C2312yes—
254#390C2312yes—
255#390C2318yes—
256#390C2318yes—
257#390C2314yes—
258#390C2314yes—
259#390C2318yes—
260#389C2314yes—
261#389C2314yes—
262#389C2318yes—
263#389C2318yes—
264#389C2314yes—
265#389C2318yes—
266#389C2314yes—
267#389C2318yes—
268#389C2314yes—
269#388C2318yes—
270#388C2318yes—
271#388C2318yes—
272#388C2318yes—
273#388C2314yes—
274#388C2318yes—
275#388C2318yes—
276#388C2318yes—
277#388C2318yes—
278#388C2318yes—
279#388C2318yes—
280#388C2318yes—
281#388C2318yes—
282#388C2318yes—
283#388C2318yes—
284#388C2318yes—
285#388C2318yes—
286#388C2318yes—
287#388C2318yes—
288#388C2318yes—
289#388C2318yes—
290#388C2314yes—
291#388C2314yes—
292#388C2314yes—
293#388C2314yes—
294#387C2318yes—
295#387C2318yes—
296#387C2318yes—
297#387C2318yes—
298#387C2318yes—
299#387C2318yes—
300#387C2318yes—
301#387C2318yes—
302#387C2318yes—
303#387C2318yes—
304#387C2318yes—
305#387C2314yes—
306#387C2314yes—
307#387C2314yes—
308#386C2318yes—
309#386C2318yes—
310#386C2314yes—
311#386C2318yes—
312#386C2318yes—
313#386C2318yes—
314#386C2318yes—
315#386C2318yes—
316#386C2318yes—
317#386C2314yes—
318#386C2318yes—
319#386C2318yes—
320#386C2318yes—
321#386C2318yes—
322#386C2314yes—
323#385C2318yes—
324#385C2318yes—
325#385C2318yes—
326#385C2318yes—
327#385C2318yes—
328#385C2318yes—
329#385C2318yes—
330#385C2314yes—
331#384C2312yes—
332#383C2318yes—
333#383C2318yes—
334#382C2314yes—
335#382C2312yes—
336#382C2314yes—
337#382C2314yes—
338#382C2312yes—
339#382C2314yes—
340#382C2318yes—
341#382C2318yes—
342#381C2318yes—
343#381C2318yes—
344#381C2314yes—
345#381C2318yes—
346#381C2314yes—
347#380C2318yes—
348#380C2318yes—
349#380C2318yes—
350#380C2314yes—
351#380C2318yes—
352#380C2318yes—
353#380C2314yes—
354#380C2314yes—
355#380C2314yes—
356#379C2318yes—
357#379C2318yes—
358C4×C4⋊C4C2314yes—
359C4×C4⋊C4C2312yes—
360C4×C4⋊C4C2312yes—
361C4×C4⋊C4C2314yes—
362C4×C4⋊C4C2314yes—
363C4×C4⋊C4C2318yes—
364C4×C4⋊C4C2314yes—
365C4×C4⋊C4C2314yes—
366C4×C22⋊C4C2314yes—
367C4×C22⋊C4C2318yes—
368C4×C22⋊C4C2314yes—
369C4×C22⋊C4C2318yes—
370C4×C22⋊C4C2318yes—
371C4×C22⋊C4C2314yes—
372C4×C22⋊C4C2314yes—
373C4×C22⋊C4C2314yes—
374C4×C22⋊C4C2312yes—
375#376C2318yes—
376#376C2311yescharacteristic
377C2×#95C2318yes—
378C2×#95C2318yes—
379C43C2311yescharacteristic
380C25C2412yes—
381C2×#41—416no—
382C2×#41—48no—
383C22×Q8C2412yes—
384C22×Q8C2414yes—
385C22×D4—42no—
386C22×D4—44no—
387C22×D4C2412yes—
388C22×D4C2412yes—
389C22×D4C2414yes—
390C22×D4C2414yes—
391C22×D4C2418yes—
392C22×D4C2418yes—
393C22×D4C2412yes—
394C23×C4C2414yes—
395C23×C4C2411yescharacteristic
396C23×C4C2414yes—
397C23×C4C2418yes—
398C23×C4C2414yes—
399C23×C4C2414yes—
400C23×C4C2418yes—
401C23×C4C2414yes—
402C4⋊Q8—28no—
403C4⋊Q8—42no—
404#126—48no—
405#125—42no—
406#125—48no—
407#125—48no—
408#124—44no—
409#124—44no—
410#123—416no—
411#123—48no—
412#123—416no—
413C22⋊Q8—416no—
414C22⋊Q8—48no—
415C22⋊Q8—44no—
416C22⋊Q8—48no—
417C22⋊Q8—48no—
418#121—48no—
419#121—416no—
420#121—48no—
421#121—48no—
422#120—416no—
423C4×Q8—28no—
424C4×Q8—48no—
425C4×D4—28no—
426C4×D4—28no—
427C4×D4—44no—
428C4×D4—48no—
429C4×D4—48no—
430C4×D4—48no—
431C4×D4—48no—
432C4×D4—416no—
433C4×D4—416no—
434C4×D4—48no—
435#117—24no—
436#117—42no—
437C2×C4⋊C4—48no—
438C2×C4⋊C4—48no—
439C2×C4⋊C4C2412yes—
440C2×C4⋊C4C2412yes—
441C2×C4⋊C4C2414yes—
442C2×C4⋊C4C2412yes—
443C2×C4⋊C4C2412yes—
444C2×C4⋊C4C2414yes—
445C2×C4⋊C4C2414yes—
446C2×C4⋊C4C2414yes—
447C2×C4⋊C4C2418yes—
448C2×C4⋊C4C2418yes—
449C2×C4⋊C4C2414yes—
450C2×C4⋊C4C2414yes—
451C2×C4⋊C4C2418yes—
452C2×C4⋊C4C2418yes—
453C2×C4⋊C4C2414yes—
454C2×C4⋊C4C2418yes—
455C2×C4⋊C4C2414yes—
456C2×C4⋊C4C2418yes—
457C2×C4⋊C4C2418yes—
458C2×C4⋊C4C2414yes—
459C2×C4⋊C4C2418yes—
460C2×C4⋊C4C2414yes—
461C2×C4⋊C4C2418yes—
462C2×C4⋊C4C2414yes—
463C2×C4⋊C4C2418yes—
464C2×C4⋊C4C2414yes—
465C2×C4⋊C4C2414yes—
466C2×C22⋊C4—48no—
467C2×C22⋊C4C2412yes—
468C2×C22⋊C4C2414yes—
469C2×C22⋊C4C2414yes—
470C2×C22⋊C4C2414yes—
471C2×C22⋊C4C2418yes—
472C2×C22⋊C4C2414yes—
473C2×C22⋊C4C2412yes—
474C2×C22⋊C4C2414yes—
475C2×C22⋊C4C2418yes—
476C2×C22⋊C4C2414yes—
477C2×C22⋊C4C2418yes—
478C2×C22⋊C4C2414yes—
479C2×C22⋊C4C2414yes—
480C2×C22⋊C4C2418yes—
481C2×C22⋊C4C2414yes—
482C2×C22⋊C4C2414yes—
483C2×C22⋊C4C2418yes—
484C2×C22⋊C4C2418yes—
485C2×C22⋊C4C2418yes—
486C2×C22⋊C4C2418yes—
487C2×C22⋊C4C2414yes—
488C2×C22⋊C4C2418yes—
489C2×C22⋊C4C2418yes—
490C2×C22⋊C4C2414yes—
491C2×C22⋊C4C2418yes—
492C2×C22⋊C4C2418yes—
493C2×C22⋊C4C2418yes—
494C2×C22⋊C4C2414yes—
495C2×C22⋊C4C2418yes—
496C2×C22⋊C4C2418yes—
497C2×C42—48no—
498C2×C42C2411yescharacteristic
499C2×C42C2412yes—
500C2×C42C2414yes—
501C2×C42C2414yes—
502C2×C42C2412yes—
503C2×C42C2412yes—
504C2×C42C2414yes—
505C2×C42C2418yes—
506C2×C42C2418yes—
507C2×C42C2418yes—
508C2×C42C2414yes—
509C2×C42C2414yes—
510C2×C42C2411yescharacteristic
511#95C2418yes—
512#95C2418yes—
513#95C2418yes—
514#95C2418yes—
515#95C2418yes—
516#95C2418yes—
517#95C2418yes—
518#95C2414yes—
519#95C2418yes—
520#95C2418yes—
521#95C2414yes—
522#95C2412yes—
523#95C2418yes—
524#95C2414yes—
525#95C2412yes—
526#95C2414yes—
527#95C2418yes—
528#95C2414yes—
529#95C2414yes—
530#95C2414yes—
531#95C2418yes—
532#95C2414yes—
533#95C2418yes—
534#95C2418yes—
535#95C2414yes—
536#95C2414yes—
537#95C2414yes—
538#95C2418yes—
539#95C2418yes—
540#95C2418yes—
541#95C2418yes—
542#95C2418yes—
543#95C2418yes—
544C24—42no—
545C24—44no—
546C24—48no—
547C24C2511yescharacteristic
548C24C2514yes—
549C24C2514yes—
550#41—832no—
551C2×Q8—24no—
552C2×Q8—28no—
553C2×Q8—24no—
554C2×Q8—24no—
555C2×Q8—48no—
556C2×D4—28no—
557C2×D4—28no—
558C2×D4—28no—
559C2×D4—216no—
560C2×D4—28no—
561C2×D4—216no—
562C2×D4—24no—
563C2×D4—24no—
564C2×D4—24no—
565C2×D4—24no—
566C2×D4—42no—
567C2×D4—44no—
568C2×D4—44no—
569C2×D4—44no—
570C2×D4—48no—
571C2×D4—48no—
572C2×D4—48no—
573C2×D4—44no—
574C2×D4—48no—
575C2×D4—416no—
576C22×C4—216no—
577C22×C4—28no—
578C22×C4—28no—
579C22×C4—22no—
580C22×C4—28no—
581C22×C4—28no—
582C22×C4—24no—
583C22×C4—28no—
584C22×C4—44no—
585C22×C4—44no—
586C22×C4—48no—
587C22×C4—44no—
588C22×C4—44no—
589C22×C4—44no—
590C22×C4—48no—
591C22×C4—48no—
592C22×C4—44no—
593C22×C4—48no—
594C22×C4—48no—
595C22×C4—48no—
596C22×C4—48no—
597C22×C4C2514yes—
598C22×C4C2514yes—
599C22×C4C2514yes—
600C22×C4C2518yes—
601C22×C4C2514yes—
602C22×C4C2514yes—
603C22×C4C2518yes—
604C22×C4C2511yescharacteristic
605C22×C4C2512yes—
606C22×C4C2514yes—
607C22×C4C2514yes—
608C22×C4C2514yes—
609C22×C4C2512yes—
610C22×C4C2511yescharacteristic
611C4⋊C4—24no—
612C4⋊C4—24no—
613C4⋊C4—28no—
614C4⋊C4—24no—
615C4⋊C4—24no—
616C4⋊C4—28no—
617C4⋊C4—28no—
618C4⋊C4—28no—
619C4⋊C4—48no—
620C4⋊C4—48no—
621C4⋊C4—44no—
622C4⋊C4—44no—
623C4⋊C4—44no—
624C4⋊C4—48no—
625C4⋊C4—48no—
626C4⋊C4—48no—
627C4⋊C4—44no—
628C4⋊C4—48no—
629C4⋊C4—48no—
630C4⋊C4—48no—
631C4⋊C4—44no—
632C4⋊C4—44no—
633C4⋊C4—48no—
634C4⋊C4—44no—
635C4⋊C4—48no—
636C4⋊C4—44no—
637C4⋊C4—44no—
638C22⋊C4—28no—
639C22⋊C4—216no—
640C22⋊C4—28no—
641C22⋊C4—24no—
642C22⋊C4—28no—
643C22⋊C4—28no—
644C22⋊C4—42no—
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—48no—
657C22⋊C4—48no—
658C22⋊C4—44no—
659C22⋊C4—48no—
660C22⋊C4—48no—
661C22⋊C4—48no—
662C22⋊C4—44no—
663C22⋊C4—48no—
664C22⋊C4—48no—
665C22⋊C4—44no—
666C22⋊C4—48no—
667C22⋊C4—48no—
668C42—22no—
669C42—28no—
670C42—24no—
671C42—28no—
672C42—24no—
673C42—44no—
674C42—44no—
675C42—42no—
676C42—44no—
677C42—48no—
678C42—48no—
679C42—48no—
680C42H(5,𝔽2)14yes—
681C23—24no—
682C23—24no—
683C23—24no—
684C23—24no—
685C23—24no—
686C23—24no—
687C23—21no—
688C23—24no—
689C23—28no—
690C23—24no—
691C23—24no—
692C23—22no—
693C23—28no—
694C23—24no—
695C23—48no—
696C23—168no—
697C23—164no—
698C23#58518yes—
699C23C2611yescharacteristic
700Q8—48no—
701Q8—88no—
702D4—216no—
703D4—416no—
704D4—48no—
705D4—48no—
706D4—88no—
707D4—816no—
708D4—816no—
709C2×C4—24no—
710C2×C4—22no—
711C2×C4—24no—
712C2×C4—24no—
713C2×C4—21no—
714C2×C4—24no—
715C2×C4—24no—
716C2×C4—28no—
717C2×C4—24no—
718C2×C4—24no—
719C2×C4—24no—
720C2×C4—24no—
721C2×C4—24no—
722C2×C4—24no—
723C2×C4—24no—
724C2×C4—24no—
725C2×C4—28no—
726C2×C4—24no—
727C2×C4—28no—
728C2×C4—28no—
729C2×C4—24no—
730C2×C4—28no—
731C2×C4—28no—
732C2×C4—28no—
733C2×C4—24no—
734C2×C4—24no—
735C2×C4—24no—
736C2×C4—24no—
737C2×C4—24no—
738C2×C4—24no—
739C2×C4—24no—
740C2×C4—22no—
741C2×C4—28no—
742C2×C4—416no—
743C2×C4—44no—
744C2×C4—88no—
745C2×C4—88no—
746C2×C4—816no—
747C2×C4—88no—
748C2×C4—164no—
749C2×C4—168no—
750C2×C4C2×H(5,𝔽2)14yes—
751C2×C4C2×H(5,𝔽2)12yes—
752C2×C4#58514yes—
753C22—28no—
754C22—28no—
755C22—28no—
756C22—44no—
757C22—44no—
758C22—44no—
759C22—44no—
760C22—41no—
761C22—44no—
762C22—48no—
763C22—44no—
764C22—48no—
765C22—44no—
766C22—44no—
767C22—42no—
768C22—168no—
769C22C22×H(5,𝔽2)11yescharacteristic
770C22C2×#58512yes—
771C22C2×#58514yes—
772C4—24no—
773C4—44no—
774C4—41no—
775C4—44no—
776C4—44no—
777C4—44no—
778C4—44no—
779C4—44no—
780C4—48no—
781C4—44no—
782C4—48no—
783C4—42no—
784C4—44no—
785C4#353914yes—
786C2—48no—
787C2—84no—
788C2—81no—
789C2C2×#353911yescharacteristic
790C2#6282412yes—
791C2#6302714yes—
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. #59309C2semidirect
2. #55076C2semidirect
3. #51812C2semidirect
4. #48688C2semidirect
5. #45701C2semidirect
6. #45356C2semidirect
7. #45318C2semidirect
8. #43968C2semidirect
9. #42790C2semidirect
10. #39145C2semidirect
11. #38998C2semidirect
12. #37434C2semidirect
13. #36539C2semidirect
14. #36164C2semidirect
15. #35730C2semidirect
16. #35624C2semidirect
17. #34967C2semidirect
18. C2×#554C22semidirect
22. #2864C22semidirect
23. #2862C22semidirect
27. #2822C22semidirect
29. #2783C22semidirect
30. #2782C22semidirect
31. #2781C22semidirect
32. #2780C22semidirect
33. #2766C22semidirect
34. #2765C22semidirect
36. #2758C22semidirect
39. #2754C22semidirect
40. #2749C22semidirect
41. #2740C22semidirect
42. #2738C22semidirect
43. #2738C22semidirect
45. #2732C22semidirect
46. #2704C22semidirect
50. #2694C22semidirect
53. #2654C22semidirect
54. #2643C22semidirect
58. #2602C22semidirect
59. #2594C22semidirect
60. #2576C22semidirect
61. #2570C22semidirect
62. #2569C22semidirect
63. #2568C22semidirect
66. #2562C22semidirect
71. #2536C22semidirect
73. #2532C22semidirect
74. #2530C22semidirect
76. #2526C22semidirect
77. #2522C22semidirect
79. #2515C22semidirect
82. #2509C22semidirect
84. #2503C22semidirect
87. #2494C22semidirect
88. #2489C22semidirect
89. #2488C22semidirect
90. #2488C22semidirect
95. #2457C22semidirect
96. #2457C22semidirect
97. #2456C22semidirect
100. #2442C22semidirect
102. #2429C22semidirect
104. #2425C22semidirect
106. #2419C22semidirect
109. #2417C22semidirect
112. #2407C22semidirect
114. #2402C22semidirect
115. #2397C22semidirect
119. #2374C22semidirect
122. #2356C22semidirect
123. #2353C22semidirect
125. #2351C22semidirect
126. D4×C4⋊C4C22semidirect
127. #2339C22semidirect
128. #2331C22semidirect
130. #2325C22semidirect
131. #2319C22semidirect
133. C4×C22⋊Q8C22semidirect
134. C4×#123C22semidirect
137. C2×#382C22semidirect
138. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#593092
#550762
#518122
#486882
#457012
#453562
#453182
#439682
#427902
#391452
#389982
#374342
#365392
#361642
#357302
#356242
#349672