Finite Group Databasebeta

← #8751214

Subgroups — #8751214

Order 512.

5494 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58998C211yesmaximal, characteristic, complemented
2#58996C212yesmaximal, complemented
3#58140C214yesmaximal, complemented
4#57997C214yesmaximal, complemented
5#57614C214yesmaximal, complemented
6#57268C214yesmaximal, complemented
7#56658C212yesmaximal, complemented
8#53007C211yesmaximal, characteristic, complemented
9#52956C212yesmaximal, complemented
10#52401C214yesmaximal, complemented
11#52396C212yesmaximal, complemented
12#47004C212yesmaximal, complemented
13#45419C211yesmaximal, characteristic, complemented
14#45307C212yesmaximal, complemented
15#45268C212yesmaximal, complemented
16#45084C212yesmaximal, complemented
17#44992C212yesmaximal, complemented
18#42844C212yesmaximal, complemented
19#42829C212yesmaximal, complemented
20#42812C212yesmaximal, complemented
21#42680C211yesmaximal, characteristic, complemented
22#42552C212yesmaximal, complemented
23#41028C214yesmaximal, complemented
24#40608C212yesmaximal, complemented
25#39595C212yesmaximal, complemented
26#39466C211yesmaximal, characteristic, complemented
27#36675C211yesmaximal, characteristic, complemented
28#36078C211yesmaximal, characteristic, complemented
29#35687C212yesmaximal, complemented
30C22×2−1+4C2211yescharacteristic, complemented
31C2×#556C2212yescomplemented
32C2×#556C2211yescharacteristic, complemented
33C2×D4×Q8C2212yescomplemented
34C2×D4×Q8C2212yescomplemented
35C2×#548C2212yes—
36C2×#546C2212yes—
37C2×#546C2211yescharacteristic
38C22×C22⋊Q8C2212yes—
39C22×#121C2211yescharacteristic
40#2848C2211yescharacteristic
41#2841C2212yes—
42#2840C2211yescharacteristic
43#2838C2214yescomplemented
44#2837C2214yescomplemented
45#2835C2211yescharacteristic
46#2835C2212yescomplemented
47#2833C2214yescomplemented
48#2831C2214yescomplemented
49#2829C2214yescomplemented
50#2827C2214yescomplemented
51#2826C2214yescomplemented
52#2825C2214yescomplemented
53#2824C2212yes—
54#2824C2211yescharacteristic
55#2824C2212yescomplemented
56#2824C2212yescomplemented
57#2824C2212yescomplemented
58#2823C2212yescomplemented
59#2821C2214yescomplemented
60#2816C2212yescomplemented
61#2812C2212yes—
62#2812C2211yescharacteristic
63#2804C2214yescomplemented
64#2792C2212yescomplemented
65#2788C2214yescomplemented
66#2788C2214yescomplemented
67#2784C2214yescomplemented
68#2778C2214yescomplemented
69#2774C2214yescomplemented
70#2765C2214yescomplemented
71#2764C2212yes—
72#2755C2214yescomplemented
73#2752C2212yes—
74#2750C2214yes—
75#2750C2214yescomplemented
76#2749C2214yescomplemented
77#2745C2214yes—
78#2740C2214yescomplemented
79#2739C2214yescomplemented
80#2732C2214yes—
81#2732C2214yescomplemented
82#2729C2214yes—
83#2729C2214yescomplemented
84#2723C2214yescomplemented
85#2723C2214yescomplemented
86#2723C2214yescomplemented
87#2722C2212yescomplemented
88#2718C2214yescomplemented
89#2716C2214yescomplemented
90#2716C2214yescomplemented
91#2715C2214yescomplemented
92#2714C2214yescomplemented
93#2708C2214yes—
94#2708C2214yescomplemented
95#2705C2214yes—
96#2705C2214yescomplemented
97#2703C2214yescomplemented
98#2702C2214yescomplemented
99#2700C2214yescomplemented
100#2695C2214yescomplemented
101#2695C2214yescomplemented
102#2692C2214yescomplemented
103#2692C2214yescomplemented
104#2692C2214yescomplemented
105#2692C2214yescomplemented
106#2691C2214yescomplemented
107#2691C2214yescomplemented
108#2689C2214yescomplemented
109#2688C2214yes—
110#2685C2214yes—
111#2685C2214yes—
112#2683C2212yes—
113#2681C2214yes—
114#2681C2214yescomplemented
115#2677C2212yes—
116#2676C2214yes—
117#2665C2214yes—
118#2658C2211yescharacteristic, complemented
119#2653C2214yescomplemented
120#2653C2214yescomplemented
121#2652C2214yescomplemented
122#2646C2214yescomplemented
123#2645C2212yescomplemented
124#2636C2214yescomplemented
125#2636C2214yescomplemented
126#2628C2214yescomplemented
127#2626C2214yes—
128#2626C2212yes—
129#2624C2212yescomplemented
130#2616C2212yescomplemented
131#2616C2214yescomplemented
132#2615C2211yescharacteristic, complemented
133#2614C2212yescomplemented
134#2613C2212yes—
135#2607C2212yes—
136#2598C2214yescomplemented
137#2592C2211yescharacteristic, complemented
138#2583C2214yescomplemented
139#2582C2212yescomplemented
140#2581C2212yescomplemented
141#2579C2214yescomplemented
142#2576C2214yes—
143#2576C2214yescomplemented
144#2568C2212yescomplemented
145#2564C2214yescomplemented
146#2559C2214yescomplemented
147#2553C2214yes—
148#2542C2211yescharacteristic
149#2540C2212yes—
150#2538C2212yes—
151#2538C2212yescomplemented
152#2538C2212yescomplemented
153#2535C2212yes—
154#2523C2212yescomplemented
155#2503C2211yescharacteristic
156#2502C2212yescomplemented
157#2496C2212yescomplemented
158#2496C2212yescomplemented
159#2494C2212yescomplemented
160#2493C2214yescomplemented
161#2487C2212yescomplemented
162#2486C2211yescharacteristic
163#2483C2212yes—
164#2482C2212yes—
165#2480C2214yes—
166#2477C2214yescomplemented
167#2477C2214yescomplemented
168#2476C2214yescomplemented
169#2472C2214yes—
170#2470C2214yescomplemented
171#2467C2214yescomplemented
172#2467C2214yescomplemented
173#2467C2214yescomplemented
174#2466C2214yescomplemented
175#2450C2214yescomplemented
176#2450C2214yescomplemented
177#2449C2214yescomplemented
178#2443C2214yes—
179#2440C2214yescomplemented
180#2438C2214yescomplemented
181#2437C2214yes—
182#2437C2214yes—
183#2437C2212yes—
184#2436C2212yes—
185#2436C2212yescomplemented
186#2436C2211yescharacteristic, complemented
187#2435C2212yes—
188#2434C2214yescomplemented
189#2434C2212yescomplemented
190#2434C2212yescomplemented
191#2432C2212yescomplemented
192#2432C2214yescomplemented
193#2432C2212yescomplemented
194#2432C2214yescomplemented
195#2430C2214yescomplemented
196#2430C2212yescomplemented
197#2429C2212yes—
198#2429C2212yes—
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2427C2212yes—
202#2427C2212yes—
203#2427C2212yescomplemented
204#2426C2212yes—
205#2426C2212yescomplemented
206#2423C2212yes—
207#2423C2212yescomplemented
208#2423C2212yescomplemented
209#2422C2212yescomplemented
210#2421C2212yescomplemented
211#2420C2212yes—
212#2417C2212yes—
213#2417C2212yescomplemented
214#2416C2212yes—
215#2416C2214yes—
216#2412C2212yes—
217#2411C2214yes—
218#2410C2214yes—
219#2409C2212yes—
220#2409C2211yescharacteristic
221#2409C2214yescomplemented
222#2409C2212yescomplemented
223#2407C2212yes—
224#2407C2212yes—
225#2407C2214yescomplemented
226#2407C2214yescomplemented
227#2404C2214yes—
228#2404C2212yes—
229#2398C2212yes—
230#2398C2211yescharacteristic
231#2398C2212yescomplemented
232#2398C2212yescomplemented
233#2398C2212yescomplemented
234#2388C2211yescharacteristic
235#2388C2212yescomplemented
236#2388C2214yescomplemented
237C2×#393C2212yes—
238#2361C2212yes—
239#2360C2212yes—
240#2360C2212yescomplemented
241#2358C2212yes—
242#2341C2212yescomplemented
243Q8×C22⋊C4C2212yescomplemented
244Q8×C22⋊C4C2212yescomplemented
245Q8×C22⋊C4C2212yescomplemented
246#2339C2211yescharacteristic, complemented
247#2339C2212yescomplemented
248D4×C22⋊C4C2211yescharacteristic
249D4×C22⋊C4C2214yes—
250#2327C2212yescomplemented
251#2326C2212yescomplemented
252#2326C2212yescomplemented
253#2321C2214yes—
254#2320C2212yescomplemented
255#2319C2211yescharacteristic, complemented
256#2308C2212yes—
257C4×#120C2211yescharacteristic
258C4×#120C2212yes—
259C2×2−1+4—48no—
260C2×2−1+4—44no—
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2314yes—
265C22×#41C2312yes—
266C23×Q8C2311yescharacteristic
267C23×Q8C2312yes—
268C23×Q8C2312yes—
269C23×Q8C2312yes—
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C24×C4C2311yescharacteristic
273#556—44no—
274#556—48no—
275D4×Q8—48no—
276D4×Q8—48no—
277#548—48no—
278#546—44no—
279#546—48no—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2314yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2314yes—
285C2×#126C2314yes—
286C2×#126C2314yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2311yescharacteristic
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#123C2314yes—
296C2×#123C2312yes—
297C2×#123C2312yes—
298C2×#123C2314yes—
299C2×C22⋊Q8—48no—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×#121—44no—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#120C2312yes—
330C2×#120C2311yescharacteristic
331C2×#120C2312yes—
332C2×#120C2314yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2314yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2314yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×#117C2314yes—
353C2×#117C2312yes—
354C22×C4⋊C4C2314yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2314yes—
359C22×C22⋊C4C2314yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362#401C2314yes—
363#401C2314yes—
364#400C2314yes—
365#400C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2312yes—
370#400C2312yes—
371#400C2312yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#399C2312yes—
385#399C2312yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2312yes—
391#399C2314yes—
392#399C2312yes—
393#399C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2312yes—
411#397C2312yes—
412#397C2312yes—
413#397C2311yescharacteristic
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2311yescharacteristic
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2312yes—
451#395C2311yescharacteristic
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2311yescharacteristic
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2311yescharacteristic
490#393C2312yes—
491#393C2312yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2312yes—
496#393C2312yes—
497#393C2311yescharacteristic
498#393C2312yes—
499#393C2312yes—
500#393C2312yes—
501#393C2312yes—
502#393C2311yescharacteristic
503#393C2312yes—
504#393C2312yes—
505#393C2312yes—
506#393C2314yes—
507#393C2312yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#392C2312yes—
513#392C2311yescharacteristic
514#392C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2314yes—
535#391C2312yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2311yescharacteristic
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2311yescharacteristic
635#385C2312yes—
636#385C2312yes—
637#385C2312yes—
638#385C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#383C2314yes—
667#382C2314yes—
668#382C2314yes—
669#382C2312yes—
670#381C2312yes—
671#381C2312yes—
672#381C2312yes—
673#381C2312yes—
674#381C2314yes—
675#381C2312yes—
676#381C2314yes—
677#380C2312yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#379C2311yescharacteristic
696#379C2312yes—
697#379C2312yes—
698#379C2312yes—
699#379C2314yes—
700#379C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2311yescharacteristic
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719#376C2311yescharacteristic
720#376C2312yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2411yescharacteristic
7252−1+4—464no—
726C2×#41—28no—
727C2×#41—24no—
728C2×#41—28no—
729C2×#41—48no—
730C2×#41—44no—
731C2×#41—42no—
732C2×#41—44no—
733C2×#41—48no—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—48no—
737C2×#41—48no—
738C22×Q8—28no—
739C22×Q8—28no—
740C22×Q8—28no—
741C22×Q8—44no—
742C22×Q8—48no—
743C22×Q8—44no—
744C22×Q8—42no—
745C22×Q8—44no—
746C22×Q8—44no—
747C22×Q8—44no—
748C22×Q8C2412yes—
749C22×Q8C2411yescharacteristic
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×Q8C2414yes—
753C22×Q8C2414yes—
754C22×Q8C2412yes—
755C22×Q8C2411yescharacteristic
756C22×Q8C2411yescharacteristic
757C22×D4—28no—
758C22×D4—24no—
759C22×D4—44no—
760C22×D4—44no—
761C22×D4—82no—
762C22×D4C2411yescharacteristic
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2411yescharacteristic
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2411yescharacteristic
778C23×C4—42no—
779C23×C4—44no—
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C4⋊Q8—28no—
797C4⋊Q8—48no—
798C4⋊Q8—44no—
799C4⋊Q8—42no—
800C4⋊Q8—48no—
801#126—48no—
802#126—48no—
803#126—48no—
804#126—84no—
805#126—84no—
806#124—28no—
807#124—28no—
808#124—42no—
809#124—44no—
810#124—48no—
811#123—48no—
812#123—44no—
813#123—82no—
814#123—84no—
815C22⋊Q8—28no—
816C22⋊Q8—28no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—48no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—42no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—84no—
834#121—28no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—44no—
839#121—44no—
840#121—42no—
841#121—44no—
842#121—84no—
843#120—24no—
844#120—28no—
845#120—48no—
846#120—44no—
847C4×Q8—28no—
848C4×Q8—42no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×D4—24no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—42no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—48no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—84no—
866#117—48no—
867#117—44no—
868C2×C4⋊C4—42no—
869C2×C4⋊C4—44no—
870C2×C4⋊C4—48no—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2411yescharacteristic
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C22⋊C4—48no—
919C2×C22⋊C4—48no—
920C2×C22⋊C4—44no—
921C2×C22⋊C4—44no—
922C2×C22⋊C4—82no—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2411yescharacteristic
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2411yescharacteristic
938C2×C22⋊C4C2411yescharacteristic
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C42C2414yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2411yescharacteristic
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2412yes—
1001#95C2411yescharacteristic
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2411yescharacteristic
1009#95C2411yescharacteristic
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2414yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2411yescharacteristic
1026#95C2412yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2414yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062C24—24no—
1063C24—24no—
1064C24—42no—
1065C24—41no—
1066C24—41no—
1067C24—42no—
1068C24—42no—
1069C24—44no—
1070C24—44no—
1071C242−1+414yescomplemented
1072C24C2512yes—
1073C24C2511yescharacteristic
1074C24C2512yes—
1075C24C2512yes—
1076C24C2511yescharacteristic
1077C24C2512yes—
1078#41—432no—
1079#41—416no—
1080#41—464no—
1081#41—432no—
1082#41—416no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—22no—
1089C2×Q8—28no—
1090C2×Q8—28no—
1091C2×Q8—24no—
1092C2×Q8—28no—
1093C2×Q8—42no—
1094C2×Q8—44no—
1095C2×Q8—44no—
1096C2×Q8—41no—
1097C2×Q8—42no—
1098C2×Q8—41no—
1099C2×Q8—42no—
1100C2×Q8—44no—
1101C2×Q8—44no—
1102C2×Q8—42no—
1103C2×Q8—42no—
1104C2×Q8—42no—
1105C2×Q8—416no—
1106C2×Q8—432no—
1107C2×Q8—432no—
1108C2×Q8—816no—
1109C2×Q8H(5,𝔽2)18yes—
1110C2×D4—28no—
1111C2×D4—24no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—24no—
1117C2×D4—22no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—28no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—28no—
1124C2×D4—22no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—42no—
1132C2×D4—41no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—41no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—41no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—88no—
1152C2×D4—816no—
1153C2×D4H(5,𝔽2)14yes—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—28no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—22no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—28no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—28no—
1172C22×C4—42no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—41no—
1178C22×C4—44no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—88no—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—28no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—42no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—42no—
1238C4⋊C4—41no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—44no—
1242C4⋊C4—42no—
1243C4⋊C4—41no—
1244C4⋊C4—44no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—24no—
1270C22⋊C4—28no—
1271C22⋊C4—22no—
1272C22⋊C4—24no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—42no—
1281C22⋊C4—41no—
1282C22⋊C4—42no—
1283C22⋊C4—44no—
1284C22⋊C4—42no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—41no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—41no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C42—28no—
1334C42—22no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C42—44no—
1344C42—42no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—21no—
1349C23—22no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—21no—
1354C23—22no—
1355C23—22no—
1356C23—24no—
1357C23—22no—
1358C23—22no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—21no—
1366C23—21no—
1367C23—22no—
1368C23—22no—
1369C23—21no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—24no—
1376C23—44no—
1377C23—48no—
1378C23—48no—
1379C23—84no—
1380C23—84no—
1381C23—88no—
1382C23—82no—
1383C23—84no—
1384C23—82no—
1385C23—164no—
1386C23C2×H(5,𝔽2)14yes—
1387C23C2×2−1+412yes—
1388C23C2×2−1+414yes—
1389C23C2611yescharacteristic
1390Q8—216no—
1391Q8—48no—
1392Q8—416no—
1393Q8—44no—
1394Q8—44no—
1395Q8—48no—
1396Q8—88no—
1397Q8—84no—
1398Q8—82no—
1399D4—28no—
1400D4—416no—
1401D4—416no—
1402D4—48no—
1403D4—48no—
1404D4—48no—
1405D4—48no—
1406D4—44no—
1407D4—44no—
1408D4—84no—
1409D4—82no—
1410D4—84no—
1411D4—88no—
1412D4—84no—
1413D4—164no—
1414D4—162no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—48no—
1476C2×C4—416no—
1477C2×C4—416no—
1478C2×C4—48no—
1479C2×C4—44no—
1480C2×C4—48no—
1481C2×C4—44no—
1482C2×C4—48no—
1483C2×C4—88no—
1484C2×C4—84no—
1485C2×C4—84no—
1486C2×C4—88no—
1487C2×C4—88no—
1488C2×C4—84no—
1489C2×C4—82no—
1490C2×C4—164no—
1491C2×C4C2×H(5,𝔽2)18yes—
1492C2×C4C2×H(5,𝔽2)14yes—
1493C2×C4C2×H(5,𝔽2)12yes—
1494C22—24no—
1495C22—24no—
1496C22—24no—
1497C22—24no—
1498C22—22no—
1499C22—24no—
1500C22—24no—
1501C22—24no—
1502C22—42no—
1503C22—44no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—41no—
1508C22—44no—
1509C22—42no—
1510C22—41no—
1511C22—44no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—41no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—44no—
1522C22—42no—
1523C22—42no—
1524C22—41no—
1525C22—41no—
1526C22—42no—
1527C22—42no—
1528C22—88no—
1529C22—168no—
1530C22C22×H(5,𝔽2)12yes—
1531C22C22×H(5,𝔽2)11yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22H(7,𝔽2)11yescharacteristic
1534C222−1+612yes—
1535C4—28no—
1536C4—44no—
1537C4—44no—
1538C4—42no—
1539C4—44no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—42no—
1550C4—41no—
1551C4—42no—
1552C4—41no—
1553C4—42no—
1554C4—41no—
1555C4—42no—
1556C4—44no—
1557C4#353214yes—
1558C2—44no—
1559C2—42no—
1560C2—44no—
1561C2—82no—
1562C2—81no—
1563C2—82no—
1564C2C2×#353211yescharacteristic
1565C2#6289312yes—
1566C2#6289411yescharacteristic
1567C2#6305212yes—
1568C2#6306311yescharacteristic
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. #58998C2semidirect
2. #58996C2semidirect
3. #58140C2semidirect
4. #57997C2semidirect
5. #57614C2semidirect
6. #57268C2semidirect
7. #56658C2semidirect
8. #53007C2semidirect
9. #52956C2semidirect
10. #52401C2semidirect
11. #52396C2semidirect
12. #47004C2semidirect
13. #45419C2semidirect
14. #45307C2semidirect
15. #45268C2semidirect
16. #45084C2semidirect
17. #44992C2semidirect
18. #42844C2semidirect
19. #42829C2semidirect
20. #42812C2semidirect
21. #42680C2semidirect
22. #42552C2semidirect
23. #41028C2semidirect
24. #40608C2semidirect
25. #39595C2semidirect
26. #39466C2semidirect
27. #36675C2semidirect
28. #36078C2semidirect
29. #35687C2semidirect
30. C22×2−1+4C22semidirect
31. C2×#556C22semidirect
32. C2×#556C22semidirect
33. C2×D4×Q8C22semidirect
34. C2×D4×Q8C22semidirect
43. #2838C22semidirect
44. #2837C22semidirect
46. #2835C22semidirect
47. #2833C22semidirect
48. #2831C22semidirect
49. #2829C22semidirect
50. #2827C22semidirect
51. #2826C22semidirect
52. #2825C22semidirect
55. #2824C22semidirect
56. #2824C22semidirect
57. #2824C22semidirect
58. #2823C22semidirect
59. #2821C22semidirect
60. #2816C22semidirect
63. #2804C22semidirect
64. #2792C22semidirect
65. #2788C22semidirect
66. #2788C22semidirect
67. #2784C22semidirect
68. #2778C22semidirect
69. #2774C22semidirect
70. #2765C22semidirect
72. #2755C22semidirect
75. #2750C22semidirect
76. #2749C22semidirect
78. #2740C22semidirect
79. #2739C22semidirect
81. #2732C22semidirect
83. #2729C22semidirect
84. #2723C22semidirect
85. #2723C22semidirect
86. #2723C22semidirect
87. #2722C22semidirect
88. #2718C22semidirect
89. #2716C22semidirect
90. #2716C22semidirect
91. #2715C22semidirect
92. #2714C22semidirect
94. #2708C22semidirect
96. #2705C22semidirect
97. #2703C22semidirect
98. #2702C22semidirect
99. #2700C22semidirect
100. #2695C22semidirect
101. #2695C22semidirect
102. #2692C22semidirect
103. #2692C22semidirect
104. #2692C22semidirect
105. #2692C22semidirect
106. #2691C22semidirect
107. #2691C22semidirect
108. #2689C22semidirect
114. #2681C22semidirect
118. #2658C22semidirect
119. #2653C22semidirect
120. #2653C22semidirect
121. #2652C22semidirect
122. #2646C22semidirect
123. #2645C22semidirect
124. #2636C22semidirect
125. #2636C22semidirect
126. #2628C22semidirect
129. #2624C22semidirect
130. #2616C22semidirect
131. #2616C22semidirect
132. #2615C22semidirect
133. #2614C22semidirect
136. #2598C22semidirect
137. #2592C22semidirect
138. #2583C22semidirect
139. #2582C22semidirect
140. #2581C22semidirect
141. #2579C22semidirect
143. #2576C22semidirect
144. #2568C22semidirect
145. #2564C22semidirect
146. #2559C22semidirect
151. #2538C22semidirect
152. #2538C22semidirect
154. #2523C22semidirect
156. #2502C22semidirect
157. #2496C22semidirect
158. #2496C22semidirect
159. #2494C22semidirect
160. #2493C22semidirect
161. #2487C22semidirect
166. #2477C22semidirect
167. #2477C22semidirect
168. #2476C22semidirect
170. #2470C22semidirect
171. #2467C22semidirect
172. #2467C22semidirect
173. #2467C22semidirect
174. #2466C22semidirect
175. #2450C22semidirect
176. #2450C22semidirect
177. #2449C22semidirect
179. #2440C22semidirect
180. #2438C22semidirect
185. #2436C22semidirect
186. #2436C22semidirect
188. #2434C22semidirect
189. #2434C22semidirect
190. #2434C22semidirect
191. #2432C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
194. #2432C22semidirect
195. #2430C22semidirect
196. #2430C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
203. #2427C22semidirect
205. #2426C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2422C22semidirect
210. #2421C22semidirect
213. #2417C22semidirect
221. #2409C22semidirect
222. #2409C22semidirect
225. #2407C22semidirect
226. #2407C22semidirect
231. #2398C22semidirect
232. #2398C22semidirect
233. #2398C22semidirect
235. #2388C22semidirect
236. #2388C22semidirect
240. #2360C22semidirect
242. #2341C22semidirect
243. Q8×C22⋊C4C22semidirect
244. Q8×C22⋊C4C22semidirect
245. Q8×C22⋊C4C22semidirect
246. #2339C22semidirect
247. #2339C22semidirect
250. #2327C22semidirect
251. #2326C22semidirect
252. #2326C22semidirect
254. #2320C22semidirect
255. #2319C22semidirect
1071. C242−1+4semidirect

Maximal subgroups

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

subgroupindex
#589982
#589962
#581402
#579972
#576142
#572682
#566582
#530072
#529562
#524012
#523962
#470042
#454192
#453072
#452682
#450842
#449922
#428442
#428292
#428122
#426802
#425522
#410282
#406082
#395952
#394662
#366752
#360782
#356872