Finite Group Databasebeta

← #8093069

Subgroups — #8093069

Order 512.

6209 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53065C212yesmaximal, complemented
2#53046C216yesmaximal, complemented
3#53015C211yesmaximal, characteristic, complemented
4#53005C213yesmaximal, complemented
5#52967C213yesmaximal, complemented
6#52958C211yesmaximal, characteristic, complemented
7#52925C212yesmaximal, complemented
8#52914C212yesmaximal, complemented
9#52367C216yesmaximal, complemented
10#52310C216yesmaximal, complemented
11#52307C212yesmaximal, complemented
12#52294C216yesmaximal, complemented
13#36694C216yesmaximal, complemented
14#36675C212yesmaximal, complemented
15#34946C213yesmaximal, complemented
16#34813C216yesmaximal, complemented
17#34736C213yesmaximal, complemented
18#34632C212yesmaximal, complemented
19C2×#2388C211yesmaximal, characteristic, complemented
20C23×#41C2211yescharacteristic
21C23×#41C2211yescharacteristic, complemented
22C2×#533C2213yescomplemented
23C2×#525C2216yes—
24C22×C4×D4C2213yes—
25#2844C2216yescomplemented
26#2840C2212yescomplemented
27#2835C2214yescomplemented
28#2835C2212yescomplemented
29#2832C22112yescomplemented
30#2832C22112yescomplemented
31#2832C2216yescomplemented
32#2832C2216yescomplemented
33#2828C22112yescomplemented
34#2828C22112yescomplemented
35#2828C22112yescomplemented
36#2824C2216yescomplemented
37#2824C22112yescomplemented
38#2819C2216yescomplemented
39#2819C22112yescomplemented
40#2812C2216yescomplemented
41#2811C2212yescomplemented
42#2785C2216yescomplemented
43#2785C2212yescomplemented
44#2785C2214yescomplemented
45#2763C2216yescomplemented
46#2763C22112yescomplemented
47#2753C22112yescomplemented
48#2753C22112yescomplemented
49#2753C22112yescomplemented
50#2736C2216yescomplemented
51#2733C22112yescomplemented
52#2733C2216yescomplemented
53#2712C22112yescomplemented
54#2712C2216yescomplemented
55#2670C2216yescomplemented
56#2670C22112yescomplemented
57#2616C2216yescomplemented
58#2616C2212yescomplemented
59#2615C2212yescomplemented
60#2615C2216yescomplemented
61#2614C2214yescomplemented
62#2613C22112yescomplemented
63#2563C2213yescomplemented
64#2563C2213yescomplemented
65#2562C2216yescomplemented
66#2562C2216yescomplemented
67#2561C2216yes—
68#2561C2216yescomplemented
69#2547C2213yescomplemented
70#2547C2213yescomplemented
71#2503C2216yescomplemented
72#2492C2216yescomplemented
73#2492C2216yescomplemented
74#2491C2216yescomplemented
75#2491C2216yescomplemented
76#2490C2216yescomplemented
77#2490C2216yescomplemented
78#2489C2216yescomplemented
79#2489C2216yescomplemented
80#2488C22112yescomplemented
81#2488C22112yescomplemented
82#2472C22112yescomplemented
83#2472C22112yescomplemented
84#2435C2216yes—
85#2409C2213yescomplemented
86#2409C2213yescomplemented
87#2408C2213yescomplemented
88#2408C2213yescomplemented
89#2407C2216yescomplemented
90#2407C2216yescomplemented
91#2406C2216yes—
92#2405C2216yes—
93#2404C2216yes—
94#2403C2216yes—
95#2398C2216yescomplemented
96#2398C22112yescomplemented
97#2398C22112yescomplemented
98#2398C2216yescomplemented
99#2388C2213yes—
100#2388C2211yescharacteristic
101#2388C2211yescharacteristic
102#2388C2213yes—
103#2388C2213yescomplemented
104#2388C2214yescomplemented
105#2388C22112yescomplemented
106#2388C2211yescharacteristic, complemented
107#2388C2211yescharacteristic, complemented
108#2388C2216yescomplemented
109#2388C2216yescomplemented
110#2388C2213yescomplemented
111C2×#395C2211yescharacteristic, complemented
112C2×#394C2213yescomplemented
113C2×#393C2211yescharacteristic
114C2×#392C2213yes—
115C4×#124C2216yescomplemented
116C4×#124C22112yescomplemented
117C4×#124C22112yescomplemented
118C4×#124C2216yescomplemented
119C4×#120C2216yescomplemented
120C4×#120C2216yescomplemented
121#2297C2216yes—
122#2280C2213yes—
123#2280C2216yescomplemented
124C4×#117C2213yescomplemented
125C2×C4×C22⋊C4C2213yescomplemented
126C22×#41—412no—
127C22×#41—412no—
128C22×#41C2312yes—
129C22×#41C2312yes—
130C22×#41C2312yes—
131C22×#41C2312yes—
132C22×#41C2311yescharacteristic
133C22×#41C2313yes—
134C22×#41C2311yescharacteristic
135C22×#41C2313yes—
136C23×Q8C2311yescharacteristic
137C23×Q8C2311yescharacteristic
138C23×D4C2312yes—
139C23×D4C2311yescharacteristic
140C23×D4C2313yes—
141C23×D4C2313yes—
142C24×C4C2311yescharacteristic
143C24×C4C2313yes—
144C24×C4C2312yes—
145#533—412no—
146C2×C4⋊Q8C2313yes—
147C2×C4⋊Q8C2313yes—
148C2×#125C2316yes—
149C2×#124C23112yes—
150C2×#124C2316yes—
151C2×#124C2316yes—
152C2×#124C23112yes—
153#525—424no—
154C2×#123C23112yes—
155C2×C22⋊Q8C2316yes—
156C2×C22⋊Q8C2316yes—
157C2×C22⋊Q8C2316yes—
158C2×C22⋊Q8C2316yes—
159C2×#121C2316yes—
160C2×#121C2316yes—
161C2×#120C23112yes—
162C2×#120C2316yes—
163C2×#120C2316yes—
164C2×C4×Q8C2316yes—
165C2×C4×Q8C2316yes—
166C2×C4×D4—412no—
167C2×C4×D4C2313yes—
168C2×C4×D4C2313yes—
169C2×C4×D4C2313yes—
170C2×C4×D4C2313yes—
171C2×C4×D4C2313yes—
172C2×C4×D4C2313yes—
173C2×C4×D4C2313yes—
174C2×C4×D4C2313yes—
175C2×C4×D4C23112yes—
176C2×C4×D4C23112yes—
177C2×#117C2316yes—
178C22×C4⋊C4C2313yes—
179C22×C22⋊C4C2313yes—
180C22×C22⋊C4C2313yes—
181C22×C22⋊C4C2316yes—
182C22×C42C2313yes—
183#400C23112yes—
184#400C23112yes—
185#400C23112yes—
186#400C23112yes—
187#400C23112yes—
188#400C23112yes—
189#397C2316yes—
190#397C2316yes—
191#397C2316yes—
192#397C2316yes—
193#397C23112yes—
194#397C23112yes—
195#397C23112yes—
196#397C23112yes—
197#395C2313yes—
198#395C2316yes—
199#395C23112yes—
200#395C2316yes—
201#395C2311yescharacteristic
202#395C2314yes—
203#395C2313yes—
204#395C2311yescharacteristic
205#394C23112yes—
206#394C23112yes—
207#394C2313yes—
208#394C23112yes—
209#394C23112yes—
210#394C23112yes—
211#394C23112yes—
212#394C2316yes—
213#394C2313yes—
214#394C23112yes—
215#394C23112yes—
216#394C2316yes—
217#394C2316yes—
218#394C23112yes—
219#394C23112yes—
220#394C23112yes—
221#394C23112yes—
222#394C2316yes—
223#394C2313yes—
224#394C2313yes—
225#393C2316yes—
226#393C2316yes—
227#393C2316yes—
228#393C2316yes—
229#393C23112yes—
230#393C23112yes—
231#393C23112yes—
232#393C23112yes—
233#393C2313yes—
234#393C2316yes—
235#393C23112yes—
236#393C2316yes—
237#393C2311yescharacteristic
238#393C2314yes—
239#393C2313yes—
240#393C2311yescharacteristic
241#392C2316yes—
242#392C2316yes—
243#392C23112yes—
244#392C23112yes—
245#392C23112yes—
246#392C23112yes—
247#392C2313yes—
248#392C23112yes—
249#392C2313yes—
250#392C23112yes—
251#392C2316yes—
252#392C2313yes—
253#392C2316yes—
254#392C2313yes—
255#391C23112yes—
256#391C2316yes—
257#391C2316yes—
258#391C2316yes—
259#391C2316yes—
260#391C23112yes—
261#390C2316yes—
262#390C2316yes—
263#390C23112yes—
264#390C2316yes—
265#390C2316yes—
266#390C23112yes—
267#388C23112yes—
268#388C23112yes—
269#388C23112yes—
270#388C23112yes—
271#388C23112yes—
272#388C23112yes—
273#388C23112yes—
274#388C23112yes—
275#388C23112yes—
276#388C23112yes—
277#388C23112yes—
278#388C23112yes—
279#386C2316yes—
280#386C23112yes—
281#386C23112yes—
282#386C2316yes—
283#386C23112yes—
284#386C23112yes—
285#385C2316yes—
286#385C23112yes—
287#385C2316yes—
288#385C23112yes—
289#382C2316yes—
290#382C2316yes—
291#382C23112yes—
292#382C23112yes—
293#381C23112yes—
294#381C2316yes—
295#380C2313yes—
296#380C2316yes—
297#380C2313yes—
298#380C2316yes—
299#380C2316yes—
300#380C2316yes—
301#380C2316yes—
302#379C2316yes—
303#379C23112yes—
304#379C2316yes—
305#379C2316yes—
306C4×C4⋊C4C2316yes—
307C4×C4⋊C4C2313yes—
308C4×C4⋊C4C2313yes—
309C4×C22⋊C4C2316yes—
310C4×C22⋊C4C2313yes—
311C4×C22⋊C4C2316yes—
312C4×C22⋊C4C2313yes—
313C4×C22⋊C4C2316yes—
314C4×C22⋊C4C2313yes—
315C4×C22⋊C4C2313yes—
316C4×C22⋊C4C2316yes—
317C4×C22⋊C4C23112yes—
318C4×C22⋊C4C23112yes—
319C4×C22⋊C4C23112yes—
320C4×C22⋊C4C23112yes—
321C4×C22⋊C4C2316yes—
322C4×C22⋊C4C2316yes—
323#376C2316yes—
324C2×#95C2313yes—
325C2×#95C2313yes—
326C43C2316yes—
327C25C2411yescharacteristic
328C25C2413yes—
329C25C2412yes—
330C2×#41—224no—
331C2×#41—46no—
332C2×#41—46no—
333C2×#41—412no—
334C2×#41—412no—
335C2×#41—46no—
336C2×#41—412no—
337C2×#41—46no—
338C2×#41—412no—
339C2×#41—412no—
340C2×#41—464no—
341C2×#41—464no—
342C22×Q8—46no—
343C22×Q8—46no—
344C22×Q8C2412yes—
345C22×Q8C2416yes—
346C22×Q8C2416yes—
347C22×Q8C2412yes—
348C22×Q8C2413yes—
349C22×Q8C2411yescharacteristic
350C22×D4—46no—
351C22×D4—46no—
352C22×D4—46no—
353C22×D4—46no—
354C22×D4—412no—
355C22×D4—46no—
356C22×D4—412no—
357C22×D4C2414yes—
358C22×D4C2412yes—
359C22×D4C2413yes—
360C22×D4C2413yes—
361C22×D4C2413yes—
362C22×D4C2413yes—
363C22×D4C24112yes—
364C22×D4C24112yes—
365C22×D4C2414yes—
366C22×D4C2412yes—
367C22×D4C2416yes—
368C22×D4C2413yes—
369C22×D4C2413yes—
370C23×C4—212no—
371C23×C4—212no—
372C23×C4—224no—
373C23×C4—412no—
374C23×C4C2411yescharacteristic
375C23×C4C2413yes—
376C23×C4C2411yescharacteristic
377C23×C4C2411yescharacteristic
378C23×C4C2413yes—
379C23×C4C2413yes—
380C23×C4C2411yescharacteristic
381C23×C4C2413yes—
382C23×C4C2413yes—
383C23×C4C2411yescharacteristic
384C23×C4C2414yes—
385C23×C4C2413yes—
386C23×C4C2413yes—
387C23×C4C2412yes—
388C23×C4C2414yes—
389C23×C4C2411yescharacteristic
390C4⋊Q8—46no—
391C4⋊Q8—46no—
392#125—412no—
393#124—424no—
394#124—412no—
395#124—412no—
396#124—424no—
397#123—424no—
398C22⋊Q8—412no—
399C22⋊Q8—412no—
400C22⋊Q8—412no—
401C22⋊Q8—412no—
402#121—412no—
403#121—412no—
404#120—412no—
405#120—412no—
406#120—424no—
407C4×Q8—412no—
408C4×Q8—412no—
409C4×D4—46no—
410C4×D4—46no—
411C4×D4—46no—
412C4×D4—46no—
413C4×D4—46no—
414C4×D4—46no—
415C4×D4—46no—
416C4×D4—46no—
417C4×D4—424no—
418C4×D4—424no—
419#117—224no—
420C2×C4⋊C4—46no—
421C2×C4⋊C4C2416yes—
422C2×C4⋊C4C2416yes—
423C2×C4⋊C4C2413yes—
424C2×C4⋊C4C2413yes—
425C2×C4⋊C4C2413yes—
426C2×C4⋊C4C2413yes—
427C2×C4⋊C4C24112yes—
428C2×C4⋊C4C24112yes—
429C2×C4⋊C4C24112yes—
430C2×C4⋊C4C24112yes—
431C2×C4⋊C4C2416yes—
432C2×C4⋊C4C2416yes—
433C2×C22⋊C4—412no—
434C2×C22⋊C4—46no—
435C2×C22⋊C4—46no—
436C2×C22⋊C4C2416yes—
437C2×C22⋊C4C2416yes—
438C2×C22⋊C4C24112yes—
439C2×C22⋊C4C2416yes—
440C2×C22⋊C4C24112yes—
441C2×C22⋊C4C2413yes—
442C2×C22⋊C4C2413yes—
443C2×C22⋊C4C2413yes—
444C2×C22⋊C4C2413yes—
445C2×C22⋊C4C2413yes—
446C2×C22⋊C4C2413yes—
447C2×C22⋊C4C2413yes—
448C2×C22⋊C4C2413yes—
449C2×C22⋊C4C2416yes—
450C2×C22⋊C4C2416yes—
451C2×C22⋊C4C24112yes—
452C2×C22⋊C4C24112yes—
453C2×C22⋊C4C24112yes—
454C2×C22⋊C4C24112yes—
455C2×C22⋊C4C2416yes—
456C2×C22⋊C4C24112yes—
457C2×C22⋊C4C24112yes—
458C2×C22⋊C4C24112yes—
459C2×C22⋊C4C24112yes—
460C2×C22⋊C4C24112yes—
461C2×C22⋊C4C24112yes—
462C2×C22⋊C4C24112yes—
463C2×C22⋊C4C24112yes—
464C2×C42—212no—
465C2×C42C2413yes—
466C2×C42C2413yes—
467C2×C42C2416yes—
468C2×C42C24112yes—
469C2×C42C2413yes—
470C2×C42C2413yes—
471C2×C42C24112yes—
472C2×C42C2416yes—
473#95C2413yes—
474#95C2416yes—
475#95C2413yes—
476#95C2416yes—
477#95C2413yes—
478#95C2413yes—
479#95C2416yes—
480#95C2416yes—
481#95C24112yes—
482#95C2416yes—
483#95C24112yes—
484#95C24112yes—
485#95C24112yes—
486#95C2416yes—
487#95C24112yes—
488#95C24112yes—
489#95C24112yes—
490#95C24112yes—
491#95C24112yes—
492#95C24112yes—
493C24—26no—
494C24—22no—
495C24—26no—
496C24—212no—
497C24—24no—
498C24—46no—
499C24—46no—
500C24—43no—
501C24—43no—
502C24—43no—
503C24—46no—
504C24C2513yes—
505C24C2513yes—
506C24C2511yescharacteristic
507C24C2514yes—
508C24C2511yescharacteristic
509C24C2511yescharacteristic
510#41—432no—
511#41—432no—
512#41—416no—
513#41—448no—
514#41—432no—
515#41—416no—
516#41—448no—
517#41—432no—
518C2×Q8—212no—
519C2×Q8—212no—
520C2×Q8—46no—
521C2×Q8—43no—
522C2×Q8—43no—
523C2×Q8—46no—
524C2×Q8—46no—
525C2×Q8—46no—
526C2×Q8—46no—
527C2×Q8—412no—
528C2×Q8—416no—
529C2×Q8—416no—
530C2×D4—224no—
531C2×D4—26no—
532C2×D4—26no—
533C2×D4—212no—
534C2×D4—26no—
535C2×D4—26no—
536C2×D4—43no—
537C2×D4—43no—
538C2×D4—43no—
539C2×D4—43no—
540C2×D4—43no—
541C2×D4—43no—
542C2×D4—43no—
543C2×D4—43no—
544C2×D4—43no—
545C2×D4—46no—
546C2×D4—43no—
547C2×D4—46no—
548C2×D4—46no—
549C2×D4—46no—
550C2×D4—46no—
551C2×D4—46no—
552C2×D4—412no—
553C2×D4—412no—
554C2×D4—412no—
555C2×D4—412no—
556C2×D4—412no—
557C2×D4—412no—
558C2×D4—412no—
559C2×D4—448no—
560C2×D4—432no—
561C2×D4—448no—
562C2×D4—416no—
563C22×C4—26no—
564C22×C4—26no—
565C22×C4—26no—
566C22×C4—212no—
567C22×C4—26no—
568C22×C4—26no—
569C22×C4—26no—
570C22×C4—26no—
571C22×C4—26no—
572C22×C4—26no—
573C22×C4—26no—
574C22×C4—212no—
575C22×C4—212no—
576C22×C4—26no—
577C22×C4—26no—
578C22×C4—224no—
579C22×C4—212no—
580C22×C4—212no—
581C22×C4—26no—
582C22×C4—46no—
583C22×C4—412no—
584C22×C4—43no—
585C22×C4—46no—
586C22×C4—432no—
587C22×C4—448no—
588C22×C4—416no—
589C22×C4H(5,𝔽2)112yes—
590C22×C4C2513yes—
591C22×C4C2513yes—
592C22×C4C2511yescharacteristic
593C22×C4C2513yes—
594C22×C4C2513yes—
595C22×C4C2511yescharacteristic
596C22×C4C2514yes—
597C22×C4C25112yes—
598C22×C4C25112yes—
599C22×C4C2513yes—
600C22×C4C2513yes—
601C22×C4C2511yescharacteristic
602C22×C4C2511yescharacteristic
603C4⋊C4—212no—
604C4⋊C4—212no—
605C4⋊C4—43no—
606C4⋊C4—43no—
607C4⋊C4—43no—
608C4⋊C4—43no—
609C4⋊C4—412no—
610C4⋊C4—412no—
611C4⋊C4—412no—
612C4⋊C4—412no—
613C4⋊C4—46no—
614C4⋊C4—46no—
615C22⋊C4—224no—
616C22⋊C4—212no—
617C22⋊C4—212no—
618C22⋊C4—212no—
619C22⋊C4—224no—
620C22⋊C4—46no—
621C22⋊C4—46no—
622C22⋊C4—43no—
623C22⋊C4—43no—
624C22⋊C4—43no—
625C22⋊C4—43no—
626C22⋊C4—43no—
627C22⋊C4—43no—
628C22⋊C4—43no—
629C22⋊C4—43no—
630C22⋊C4—412no—
631C22⋊C4—412no—
632C22⋊C4—412no—
633C22⋊C4—412no—
634C22⋊C4—46no—
635C22⋊C4—412no—
636C22⋊C4—412no—
637C22⋊C4—412no—
638C22⋊C4—412no—
639C22⋊C4—412no—
640C22⋊C4—412no—
641C22⋊C4—412no—
642C22⋊C4—412no—
643C42—26no—
644C42—26no—
645C42—26no—
646C42—26no—
647C42—224no—
648C42—212no—
649C42—46no—
650C42—412no—
651C23—23no—
652C23—21no—
653C23—23no—
654C23—23no—
655C23—23no—
656C23—23no—
657C23—23no—
658C23—26no—
659C23—26no—
660C23—212no—
661C23—26no—
662C23—26no—
663C23—212no—
664C23—23no—
665C23—23no—
666C23—23no—
667C23—24no—
668C23—23no—
669C23—23no—
670C23—21no—
671C23—412no—
672C23—412no—
673C23—412no—
674C23—48no—
675C23—44no—
676C23—412no—
677C23—812no—
678C23—86no—
679C23—812no—
680C23—812no—
681C23—812no—
682C23C2×H(5,𝔽2)16yes—
683C23#58512yes—
684C23C2611yescharacteristic
685Q8—412no—
686Q8—44no—
687Q8—48no—
688Q8—48no—
689Q8—812no—
690Q8—812no—
691D4—412no—
692D4—412no—
693D4—412no—
694D4—412no—
695D4—412no—
696D4—424no—
697D4—412no—
698D4—48no—
699D4—416no—
700D4—416no—
701D4—48no—
702D4—824no—
703D4—824no—
704C2×C4—23no—
705C2×C4—23no—
706C2×C4—23no—
707C2×C4—23no—
708C2×C4—23no—
709C2×C4—212no—
710C2×C4—212no—
711C2×C4—23no—
712C2×C4—23no—
713C2×C4—23no—
714C2×C4—23no—
715C2×C4—26no—
716C2×C4—26no—
717C2×C4—212no—
718C2×C4—212no—
719C2×C4—26no—
720C2×C4—212no—
721C2×C4—212no—
722C2×C4—212no—
723C2×C4—26no—
724C2×C4—23no—
725C2×C4—23no—
726C2×C4—412no—
727C2×C4—48no—
728C2×C4—416no—
729C2×C4—412no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—412no—
735C2×C4—412no—
736C2×C4—44no—
737C2×C4—416no—
738C2×C4—412no—
739C2×C4—412no—
740C2×C4—86no—
741C2×C4H(3,𝔽4)116yes—
742C2×C4C2×H(5,𝔽2)16yes—
743C2×C4C2×H(5,𝔽2)16yes—
744C2×C4#58516yes—
745C22—26no—
746C22—26no—
747C22—26no—
748C22—43no—
749C22—41no—
750C22—43no—
751C22—43no—
752C22—43no—
753C22—46no—
754C22—412no—
755C22—46no—
756C22—46no—
757C22—412no—
758C22—43no—
759C22—43no—
760C22—46no—
761C22—43no—
762C22—44no—
763C22—41no—
764C22—43no—
765C22—43no—
766C22—88no—
767C22—824no—
768C22—816no—
769C22C2×H(3,𝔽4)14yes—
770C22C22×H(5,𝔽2)13yes—
771C22C2×#58511yescharacteristic
772C22C2×#58513yes—
773C4—26no—
774C4—43no—
775C4—412no—
776C4—43no—
777C4—43no—
778C4—412no—
779C4—41no—
780C4—43no—
781C4—43no—
782C4—41no—
783C4—44no—
784C4C2×H(3,𝔽4)14yes—
785C4C2×H(3,𝔽4)14yes—
786C2—24no—
787C2—42no—
788C2—81no—
789C2—83no—
790C2—83no—
791C2—84no—
792C2C22×H(3,𝔽4)11yescharacteristic
793C2#6272913yes—
794C2#6275913yes—
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53065C2semidirect
2. #53046C2semidirect
3. #53015C2semidirect
4. #53005C2semidirect
5. #52967C2semidirect
6. #52958C2semidirect
7. #52925C2semidirect
8. #52914C2semidirect
9. #52367C2semidirect
10. #52310C2semidirect
11. #52307C2semidirect
12. #52294C2semidirect
13. #36694C2semidirect
14. #36675C2semidirect
15. #34946C2semidirect
16. #34813C2semidirect
17. #34736C2semidirect
18. #34632C2semidirect
19. C2×#2388C2semidirect
21. C23×#41C22semidirect
22. C2×#533C22semidirect
25. #2844C22semidirect
26. #2840C22semidirect
27. #2835C22semidirect
28. #2835C22semidirect
29. #2832C22semidirect
30. #2832C22semidirect
31. #2832C22semidirect
32. #2832C22semidirect
33. #2828C22semidirect
34. #2828C22semidirect
35. #2828C22semidirect
36. #2824C22semidirect
37. #2824C22semidirect
38. #2819C22semidirect
39. #2819C22semidirect
40. #2812C22semidirect
41. #2811C22semidirect
42. #2785C22semidirect
43. #2785C22semidirect
44. #2785C22semidirect
45. #2763C22semidirect
46. #2763C22semidirect
47. #2753C22semidirect
48. #2753C22semidirect
49. #2753C22semidirect
50. #2736C22semidirect
51. #2733C22semidirect
52. #2733C22semidirect
53. #2712C22semidirect
54. #2712C22semidirect
55. #2670C22semidirect
56. #2670C22semidirect
57. #2616C22semidirect
58. #2616C22semidirect
59. #2615C22semidirect
60. #2615C22semidirect
61. #2614C22semidirect
62. #2613C22semidirect
63. #2563C22semidirect
64. #2563C22semidirect
65. #2562C22semidirect
66. #2562C22semidirect
68. #2561C22semidirect
69. #2547C22semidirect
70. #2547C22semidirect
71. #2503C22semidirect
72. #2492C22semidirect
73. #2492C22semidirect
74. #2491C22semidirect
75. #2491C22semidirect
76. #2490C22semidirect
77. #2490C22semidirect
78. #2489C22semidirect
79. #2489C22semidirect
80. #2488C22semidirect
81. #2488C22semidirect
82. #2472C22semidirect
83. #2472C22semidirect
85. #2409C22semidirect
86. #2409C22semidirect
87. #2408C22semidirect
88. #2408C22semidirect
89. #2407C22semidirect
90. #2407C22semidirect
95. #2398C22semidirect
96. #2398C22semidirect
97. #2398C22semidirect
98. #2398C22semidirect
103. #2388C22semidirect
104. #2388C22semidirect
105. #2388C22semidirect
106. #2388C22semidirect
107. #2388C22semidirect
108. #2388C22semidirect
109. #2388C22semidirect
110. #2388C22semidirect
111. C2×#395C22semidirect
112. C2×#394C22semidirect
115. C4×#124C22semidirect
116. C4×#124C22semidirect
117. C4×#124C22semidirect
118. C4×#124C22semidirect
119. C4×#120C22semidirect
120. C4×#120C22semidirect
123. #2280C22semidirect
124. C4×#117C22semidirect
125. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#530652
#530462
#530152
#530052
#529672
#529582
#529252
#529142
#523672
#523102
#523072
#522942
#366942
#366752
#349462
#348132
#347362
#346322
C2×#23882