Finite Group Databasebeta

← #7732045

Subgroups — #7732045

Order 512.

4942 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48887C214yesmaximal, complemented
2#48885C214yesmaximal, complemented
3#47220C214yesmaximal, complemented
4#46850C214yesmaximal, complemented
5#43054C214yesmaximal, complemented
6#43024C214yesmaximal, complemented
7#39560C212yesmaximal, complemented
8#39079C212yesmaximal, complemented
9#38262C212yesmaximal, complemented
10#38110C212yesmaximal, complemented
11#37969C212yesmaximal, complemented
12#37958C212yesmaximal, complemented
13#37950C212yesmaximal, complemented
14#37884C212yesmaximal, complemented
15#37876C212yesmaximal, complemented
16#37866C212yesmaximal, complemented
17#37439C211yesmaximal, characteristic
18#37350C212yesmaximal, complemented
19#37339C212yesmaximal, complemented
20#36262C212yesmaximal, complemented
21#36189C212yesmaximal, complemented
22#35597C212yesmaximal, complemented
23#35589C212yesmaximal, complemented
24#35263C211yesmaximal, characteristic, complemented
25#35002C211yesmaximal, characteristic, complemented
26C2×#2500C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34180C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C2×#551C2214yes—
31C2×#543C2212yes—
32C2×#525C2211yescharacteristic
33C22×#121C2211yescharacteristic
34C22×#117C2211yescharacteristic
35#2860C2212yescomplemented
36#2859C2212yescomplemented
37#2857C2212yes—
38#2857C2212yes—
39#2857C2212yescomplemented
40#2855C2212yes—
41#2854C2212yes—
42#2854C2212yescomplemented
43#2813C2214yes—
44#2796C2214yescomplemented
45#2790C2214yescomplemented
46#2785C2214yescomplemented
47#2783C2214yescomplemented
48#2782C2214yescomplemented
49#2781C2214yescomplemented
50#2781C2214yescomplemented
51#2779C2214yescomplemented
52#2778C2214yescomplemented
53#2777C2214yescomplemented
54#2775C2214yescomplemented
55#2775C2214yescomplemented
56#2773C2214yescomplemented
57#2768C2214yescomplemented
58#2767C2214yescomplemented
59#2763C2214yescomplemented
60#2762C2214yescomplemented
61#2759C2214yescomplemented
62#2757C2214yescomplemented
63#2756C2214yescomplemented
64#2754C2214yescomplemented
65#2753C2214yescomplemented
66#2751C2214yescomplemented
67#2730C2214yescomplemented
68#2730C2214yescomplemented
69#2728C2214yescomplemented
70#2723C2214yescomplemented
71#2720C2214yescomplemented
72#2718C2214yescomplemented
73#2711C2214yescomplemented
74#2708C2214yescomplemented
75#2706C2214yescomplemented
76#2705C2214yescomplemented
77#2702C2214yescomplemented
78#2702C2214yescomplemented
79#2698C2214yescomplemented
80#2696C2214yescomplemented
81#2681C2214yescomplemented
82#2681C2214yescomplemented
83#2680C2214yescomplemented
84#2659C2212yes—
85#2659C2212yes—
86#2656C2212yes—
87#2647C2212yescomplemented
88#2644C2212yescomplemented
89#2639C2212yes—
90#2628C2212yescomplemented
91#2626C2212yes—
92#2625C2212yescomplemented
93#2624C2212yes—
94#2624C2212yescomplemented
95#2624C2212yescomplemented
96#2617C2212yes—
97#2615C2212yes—
98#2610C2214yescomplemented
99#2604C2214yescomplemented
100#2602C2214yescomplemented
101#2602C2214yescomplemented
102#2601C2214yescomplemented
103#2598C2214yescomplemented
104#2595C2214yescomplemented
105#2594C2214yescomplemented
106#2593C2214yescomplemented
107#2589C2214yescomplemented
108#2587C2214yescomplemented
109#2576C2214yescomplemented
110#2574C2214yescomplemented
111#2570C2214yescomplemented
112#2561C2214yes—
113#2560C2214yescomplemented
114#2560C2214yescomplemented
115#2559C2214yescomplemented
116#2557C2214yescomplemented
117#2556C2214yescomplemented
118#2549C2214yescomplemented
119#2549C2214yescomplemented
120#2536C2214yescomplemented
121#2534C2214yes—
122#2532C2214yescomplemented
123#2529C2214yescomplemented
124#2512C2212yescomplemented
125#2512C2212yescomplemented
126#2511C2214yescomplemented
127#2509C2212yescomplemented
128#2508C2212yescomplemented
129#2507C2212yescomplemented
130#2507C2212yescomplemented
131#2500C2214yes—
132#2500C2212yes—
133#2500C2212yes—
134#2500C2212yes—
135#2500C2212yes—
136#2500C2214yes—
137#2498C2214yes—
138#2498C2214yescomplemented
139#2497C2212yescomplemented
140#2497C2212yescomplemented
141#2495C2212yescomplemented
142#2494C2212yescomplemented
143#2493C2214yes—
144#2491C2212yescomplemented
145#2491C2212yescomplemented
146#2488C2214yes—
147#2487C2212yes—
148#2487C2212yes—
149#2486C2212yes—
150#2485C2212yescomplemented
151#2485C2212yescomplemented
152#2480C2214yes—
153#2478C2214yescomplemented
154#2477C2214yescomplemented
155#2476C2214yescomplemented
156#2474C2214yescomplemented
157#2474C2214yescomplemented
158#2472C2214yes—
159#2469C2214yescomplemented
160#2468C2214yescomplemented
161#2468C2214yescomplemented
162#2463C2214yescomplemented
163#2461C2214yescomplemented
164#2461C2214yescomplemented
165#2460C2214yescomplemented
166#2452C2212yescomplemented
167#2452C2212yescomplemented
168#2442C2214yes—
169#2441C2214yescomplemented
170#2440C2212yescomplemented
171#2440C2212yescomplemented
172#2440C2212yescomplemented
173#2440C2212yescomplemented
174#2438C2214yes—
175#2437C2214yes—
176#2427C2214yescomplemented
177#2426C2214yescomplemented
178#2423C2214yescomplemented
179#2422C2212yescomplemented
180#2422C2212yescomplemented
181#2417C2214yes—
182#2416C2212yes—
183#2416C2212yes—
184#2415C2214yescomplemented
185#2412C2214yes—
186#2412C2214yes—
187#2410C2214yes—
188#2408C2212yes—
189C2×#394C2212yes—
190C2×#394C2212yes—
191#2377C2214yes—
192#2361C2212yes—
193#2361C2212yes—
194#2360C2214yes—
195#2352C2214yes—
196#2347C2212yescomplemented
197#2346C2212yescomplemented
198#2345C2212yes—
199#2345C2212yes—
200#2344C2212yes—
201#2343C2214yescomplemented
202#2342C2214yes—
203#2342C2214yes—
204D4×C22⋊C4C2214yes—
205D4×C22⋊C4C2212yes—
206#2335C2212yescomplemented
207#2335C2212yescomplemented
208#2333C2212yescomplemented
209#2332C2212yescomplemented
210#2331C2212yescomplemented
211#2329C2211yescharacteristic
212#2329C2211yescharacteristic
213#2325C2212yes—
214#2325C2211yescharacteristic
215#2325C2211yescharacteristic
216#2325C2212yes—
217#2324C2212yes—
218#2324C2212yes—
219#2324C2212yescomplemented
220#2321C2212yes—
221#2321C2212yes—
222#2319C2212yescomplemented
223#2317C2211yescharacteristic, complemented
224#2317C2211yescharacteristic, complemented
225#2316C2211yescharacteristic, complemented
226#2316C2211yescharacteristic, complemented
227#2315C2212yes—
228#2315C2212yes—
229#2314C2212yescomplemented
230#2314C2212yescomplemented
231#2314C2212yescomplemented
232#2312C2212yes—
233#2311C2211yescharacteristic, complemented
234#2311C2211yescharacteristic, complemented
235C4×C4⋊Q8C2212yescomplemented
236C4×#121C2212yescomplemented
237#2298C2212yescomplemented
238#2297C2212yescomplemented
239#2293C2212yescomplemented
240#2293C2212yescomplemented
241C2×#390C2211yescharacteristic
242C2×#390C2211yescharacteristic
243#2290C2212yes—
244#2290C2212yescomplemented
245C2×#388C2212yes—
246C2×#388C2212yes—
247#2285C2212yes—
248#2285C2212yescomplemented
249C2×#384C2211yescharacteristic
250#2283C2212yes—
251C2×#382C2211yescharacteristic
252#2280C2211yescharacteristic
253C2×#380C2211yescharacteristic
254C2×#380C2211yescharacteristic
255#2274C2211yescharacteristic, complemented
256#2274C2211yescharacteristic, complemented
257C42×D4C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C24×C4C2311yescharacteristic
263#551—416no—
264#543—48no—
265C2×C4⋊Q8C2312yes—
266C2×C4⋊Q8C2312yes—
267C2×#126C2314yes—
268C2×#126C2314yes—
269C2×#126C2314yes—
270C2×#125C2314yes—
271C2×#124C2314yes—
272C2×#124C2314yes—
273#525—28no—
274C2×#123C2312yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×#123C2314yes—
278C2×#123C2314yes—
279C2×C22⋊Q8C2314yes—
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2314yes—
283C2×C22⋊Q8C2314yes—
284C2×C22⋊Q8C2314yes—
285C2×C22⋊Q8C2314yes—
286C2×C22⋊Q8C2314yes—
287C2×C22⋊Q8C2314yes—
288C2×C22⋊Q8C2314yes—
289C2×C22⋊Q8C2314yes—
290C2×#121—28no—
291C2×#121C2312yes—
292C2×#121C2311yescharacteristic
293C2×#121C2312yes—
294C2×#121C2311yescharacteristic
295C2×#121C2312yes—
296C2×#121C2312yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#120C2312yes—
302C2×#120C2314yes—
303C2×C4×Q8C2314yes—
304C2×C4×D4C2312yes—
305C2×C4×D4C2312yes—
306C2×C4×D4C2312yes—
307C2×C4×D4C2312yes—
308C2×C4×D4C2312yes—
309C2×C4×D4C2312yes—
310C2×C4×D4C2314yes—
311C2×C4×D4C2314yes—
312C2×C4×D4C2314yes—
313C2×#117—28no—
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C2×#117C2312yes—
317C2×#117C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C2×#117C2312yes—
320C2×#117C2311yescharacteristic
321C2×#117C2312yes—
322C2×#117C2311yescharacteristic
323C2×#117C2311yescharacteristic
324C2×#117C2314yes—
325C2×#117C2314yes—
326C2×#117C2314yes—
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2312yes—
335C22×C4⋊C4C2312yes—
336C22×C22⋊C4C2312yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2312yes—
341C22×C22⋊C4C2312yes—
342C22×C22⋊C4C2314yes—
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C42C2312yes—
348C22×C42C2312yes—
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351#401C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#399C2314yes—
364#399C2314yes—
365#399C2314yes—
366#399C2314yes—
367#399C2314yes—
368#398C2314yes—
369#398C2314yes—
370#398C2314yes—
371#398C2314yes—
372#398C2314yes—
373#398C2314yes—
374#398C2314yes—
375#398C2314yes—
376#398C2314yes—
377#398C2314yes—
378#398C2314yes—
379#398C2314yes—
380#397C2314yes—
381#397C2314yes—
382#397C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2314yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2314yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2314yes—
394#396C2314yes—
395#396C2314yes—
396#396C2314yes—
397#396C2314yes—
398#396C2314yes—
399#396C2314yes—
400#396C2314yes—
401#396C2314yes—
402#396C2314yes—
403#395C2314yes—
404#395C2314yes—
405#395C2314yes—
406#395C2314yes—
407#395C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2314yes—
417#394C2314yes—
418#394C2314yes—
419#394C2314yes—
420#394C2314yes—
421#394C2314yes—
422#394C2314yes—
423#394C2314yes—
424#394C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#393C2314yes—
430#393C2314yes—
431#393C2314yes—
432#393C2314yes—
433#393C2314yes—
434#393C2314yes—
435#392C2314yes—
436#392C2314yes—
437#392C2314yes—
438#392C2314yes—
439#391C2314yes—
440#391C2314yes—
441#391C2314yes—
442#391C2312yes—
443#391C2312yes—
444#391C2314yes—
445#391C2312yes—
446#391C2312yes—
447#391C2314yes—
448#391C2314yes—
449#390C2314yes—
450#390C2314yes—
451#390C2312yes—
452#390C2312yes—
453#390C2312yes—
454#390C2312yes—
455#390C2312yes—
456#390C2312yes—
457#390C2312yes—
458#390C2312yes—
459#390C2314yes—
460#390C2312yes—
461#390C2312yes—
462#390C2314yes—
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2314yes—
467#390C2312yes—
468#389C2312yes—
469#389C2314yes—
470#389C2312yes—
471#389C2314yes—
472#389C2314yes—
473#389C2312yes—
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2312yes—
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2314yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#388C2312yes—
500#388C2314yes—
501#388C2314yes—
502#388C2314yes—
503#388C2314yes—
504#388C2314yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2312yes—
522#388C2314yes—
523#388C2312yes—
524#388C2312yes—
525#388C2312yes—
526#388C2312yes—
527#388C2312yes—
528#388C2312yes—
529#388C2314yes—
530#388C2312yes—
531#388C2312yes—
532#388C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2312yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2312yes—
565#387C2312yes—
566#387C2314yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2314yes—
571#387C2312yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2312yes—
583#386C2312yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2312yes—
588#386C2314yes—
589#386C2314yes—
590#386C2312yes—
591#386C2312yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2312yes—
611#385C2312yes—
612#385C2314yes—
613#385C2312yes—
614#385C2312yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#384C2312yes—
622#384C2312yes—
623#384C2312yes—
624#384C2312yes—
625#384C2314yes—
626#384C2312yes—
627#384C2312yes—
628#383C2314yes—
629#383C2314yes—
630#382C2312yes—
631#382C2312yes—
632#382C2312yes—
633#382C2314yes—
634#382C2314yes—
635#382C2314yes—
636#382C2312yes—
637#382C2314yes—
638#382C2314yes—
639#381C2314yes—
640#381C2314yes—
641#381C2314yes—
642#381C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2312yes—
646#380C2312yes—
647#380C2311yescharacteristic
648#380C2312yes—
649#380C2311yescharacteristic
650#380C2311yescharacteristic
651#380C2312yes—
652#380C2312yes—
653#380C2311yescharacteristic
654#380C2314yes—
655#380C2314yes—
656#380C2314yes—
657#380C2314yes—
658#380C2314yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2314yes—
663#380C2312yes—
664#380C2314yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2314yes—
670#379C2314yes—
671#379C2314yes—
672#379C2312yes—
673C4×C4⋊C4C2312yes—
674C4×C4⋊C4C2314yes—
675C4×C4⋊C4C2312yes—
676C4×C4⋊C4C2314yes—
677C4×C4⋊C4C2312yes—
678C4×C4⋊C4C2312yes—
679C4×C4⋊C4C2312yes—
680C4×C4⋊C4C2312yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2312yes—
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2312yes—
693C4×C22⋊C4C2314yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2312yes—
707C4×C22⋊C4C2312yes—
708#376C2312yes—
709#376C2314yes—
710C2×#95C2312yes—
711C2×#95C2311yescharacteristic
712C2×#95C2311yescharacteristic
713C2×#95C2312yes—
714C2×#95C2312yes—
715C2×#95C2312yes—
716C43C2312yes—
717C25C2412yes—
718C25C2411yescharacteristic
719C2×#41—24no—
720C2×#41—42no—
721C2×#41—42no—
722C22×Q8C2414yes—
723C22×Q8C2411yescharacteristic
724C22×Q8C2414yes—
725C22×D4—28no—
726C22×D4—24no—
727C22×D4—42no—
728C22×D4—42no—
729C22×D4—82no—
730C22×D4—82no—
731C22×D4C2412yes—
732C22×D4C2412yes—
733C22×D4C2414yes—
734C22×D4C2412yes—
735C22×D4C2412yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2411yescharacteristic
739C22×D4C2414yes—
740C22×D4C2414yes—
741C23×C4—42no—
742C23×C4—42no—
743C23×C4#4118yes—
744C23×C4C2412yes—
745C23×C4C2412yes—
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2412yes—
753C23×C4C2412yes—
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2412yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C4⋊Q8—44no—
767C4⋊Q8—44no—
768#126—48no—
769#126—48no—
770#126—84no—
771#125—84no—
772#124—48no—
773#124—84no—
774#123—28no—
775#123—48no—
776#123—48no—
777#123—48no—
778#123—84no—
779C22⋊Q8—24no—
780C22⋊Q8—24no—
781C22⋊Q8—216no—
782C22⋊Q8—48no—
783C22⋊Q8—48no—
784C22⋊Q8—48no—
785C22⋊Q8—48no—
786C22⋊Q8—48no—
787C22⋊Q8—48no—
788C22⋊Q8—84no—
789C22⋊Q8—84no—
790#121—28no—
791#121—28no—
792#121—28no—
793#121—28no—
794#121—24no—
795#121—24no—
796#121—44no—
797#121—44no—
798#121—84no—
799#121—84no—
800#120—28no—
801#120—48no—
802C4×Q8—84no—
803C4×D4—28no—
804C4×D4—28no—
805C4×D4—28no—
806C4×D4—28no—
807C4×D4—44no—
808C4×D4—44no—
809C4×D4—48no—
810C4×D4—84no—
811C4×D4—84no—
812#117—24no—
813#117—24no—
814#117—24no—
815#117—24no—
816#117—28no—
817#117—28no—
818#117—24no—
819#117—42no—
820#117—44no—
821#117—42no—
822#117—48no—
823#117—48no—
824#117—84no—
825C2×C4⋊C4—24no—
826C2×C4⋊C4—24no—
827C2×C4⋊C4—24no—
828C2×C4⋊C4—42no—
829C2×C4⋊C4—42no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—42no—
832C2×C4⋊C4—82no—
833C2×C4⋊C4—82no—
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2412yes—
839C2×C4⋊C4C2412yes—
840C2×C4⋊C4C2412yes—
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2412yes—
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2412yes—
851C2×C4⋊C4C2412yes—
852C2×C4⋊C4C2412yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C22⋊C4—28no—
891C2×C22⋊C4—28no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—28no—
894C2×C22⋊C4—28no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—44no—
897C2×C22⋊C4—44no—
898C2×C22⋊C4—48no—
899C2×C22⋊C4—82no—
900C2×C22⋊C4—82no—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2412yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C42—28no—
959C2×C42—42no—
960C2×C42—44no—
961C2×C42—42no—
962C2×C42C2412yes—
963C2×C42C2412yes—
964C2×C42C2412yes—
965C2×C42C2412yes—
966C2×C42C2412yes—
967C2×C42C2412yes—
968C2×C42C2412yes—
969C2×C42C2412yes—
970C2×C42C2412yes—
971C2×C42C2412yes—
972C2×C42C2412yes—
973C2×C42C2414yes—
974C2×C42C2414yes—
975C2×C42C2414yes—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2412yes—
979C2×C42C2414yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985#95C2414yes—
986#95C2412yes—
987#95C2412yes—
988#95C2412yes—
989#95C2412yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2412yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2414yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041C24—22no—
1042C24—22no—
1043C24—24no—
1044C24—24no—
1045C24—24no—
1046C24—41no—
1047C24—41no—
1048C24—41no—
1049C24—41no—
1050C24—42no—
1051C24—42no—
1052C24—42no—
1053C24—42no—
1054C24C2×#4114yes—
1055C24C2514yes—
1056C24C2512yes—
1057C24C2511yescharacteristic
1058C24C2511yescharacteristic
1059C24C2511yescharacteristic
1060#41—88no—
1061C2×Q8—22no—
1062C2×Q8—28no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—41no—
1066C2×Q8—41no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×D4—24no—
1071C2×D4—28no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—28no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—22no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—88no—
1101C2×D4—816no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—24no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—24no—
1116C22×C4—24no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—416no—
1121C22×C4—41no—
1122C22×C4—42no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—42no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—42no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—44no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—42no—
1146C22×C4—44no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—44no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—44no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4C2×#4114yes—
1162C22×C4C2×#4114yes—
1163C22×C4C2×#4114yes—
1164C22×C4C2×#4114yes—
1165C22×C4C2×#4114yes—
1166C22×C4C2×#4114yes—
1167C22×C4H(5,𝔽2)14yes—
1168C22×C42−1+414yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2514yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2514yes—
1180C22×C4C2514yes—
1181C22×C4C2514yes—
1182C22×C4C2514yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C4⋊C4—24no—
1194C4⋊C4—24no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—24no—
1200C4⋊C4—24no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—24no—
1204C4⋊C4—24no—
1205C4⋊C4—28no—
1206C4⋊C4—24no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—42no—
1227C4⋊C4—42no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C22⋊C4—24no—
1250C22⋊C4—24no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—24no—
1256C22⋊C4—24no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—24no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—24no—
1263C22⋊C4—24no—
1264C22⋊C4—28no—
1265C22⋊C4—24no—
1266C22⋊C4—24no—
1267C22⋊C4—28no—
1268C22⋊C4—24no—
1269C22⋊C4—24no—
1270C22⋊C4—24no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—24no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C42—24no—
1307C42—24no—
1308C42—24no—
1309C42—24no—
1310C42—24no—
1311C42—24no—
1312C42—24no—
1313C42—24no—
1314C42—24no—
1315C42—24no—
1316C42—24no—
1317C42—42no—
1318C42—42no—
1319C42—42no—
1320C42—42no—
1321C42—44no—
1322C42—44no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—42no—
1327C42—44no—
1328C42—42no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—28no—
1346C23—22no—
1347C23—24no—
1348C23—24no—
1349C23—22no—
1350C23—24no—
1351C23—22no—
1352C23—22no—
1353C23—24no—
1354C23—24no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—24no—
1359C23—24no—
1360C23—44no—
1361C23—44no—
1362C23—48no—
1363C23—82no—
1364C23—82no—
1365C23—82no—
1366C23—82no—
1367C23—84no—
1368C23—84no—
1369C23—84no—
1370C23—84no—
1371C23—84no—
1372C23—84no—
1373C23C22×#4112yes—
1374C23C22×#4112yes—
1375C23C22×#4112yes—
1376C23C2×H(5,𝔽2)12yes—
1377C23C2×2−1+412yes—
1378C23C2611yescharacteristic
1379Q8—88no—
1380Q8—82no—
1381Q8—164no—
1382D4—416no—
1383D4—48no—
1384D4—48no—
1385D4—84no—
1386D4—82no—
1387D4—84no—
1388D4—88no—
1389D4—84no—
1390D4—88no—
1391D4—164no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—28no—
1403C2×C4—28no—
1404C2×C4—28no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—24no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—48no—
1465C2×C4—48no—
1466C2×C4—48no—
1467C2×C4—84no—
1468C2×C4—84no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—84no—
1472C2×C4—88no—
1473C2×C4—164no—
1474C2×C4—162no—
1475C2×C4—162no—
1476C2×C4—162no—
1477C2×C4—162no—
1478C2×C4C22×#4112yes—
1479C2×C4C22×#4112yes—
1480C2×C4C22×#4112yes—
1481C2×C4C22×#4112yes—
1482C2×C4C2×H(5,𝔽2)14yes—
1483C2×C4C2×2−1+414yes—
1484C2×C4#58512yes—
1485C2×C4#58512yes—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—42no—
1507C22—44no—
1508C22—42no—
1509C22—44no—
1510C22—44no—
1511C22—42no—
1512C22—42no—
1513C22—44no—
1514C22—42no—
1515C22—44no—
1516C22—42no—
1517C22—44no—
1518C22—44no—
1519C22—42no—
1520C22—88no—
1521C22—168no—
1522C22#351114yes—
1523C22C23×#4111yescharacteristic
1524C22C22×H(5,𝔽2)11yescharacteristic
1525C22C22×2−1+411yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22C2×#58511yescharacteristic
1528C22H(7,𝔽2)11yescharacteristic
1529C22H(7,𝔽2)11yescharacteristic
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—24no—
1534C4—24no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—44no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—44no—
1546C4—44no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—44no—
1553C4#349114yes—
1554C2—24no—
1555C2—42no—
1556C2—42no—
1557C2—82no—
1558C2—84no—
1559C2C2×#349111yescharacteristic
1560C2C2×#351111yescharacteristic
1561C2#6285511yescharacteristic
1562C2#6290211yescharacteristic
1563C2#6290511yescharacteristic
1564C2#6292911yescharacteristic
1565C2#6293011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37439C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48887C2semidirect
2. #48885C2semidirect
3. #47220C2semidirect
4. #46850C2semidirect
5. #43054C2semidirect
6. #43024C2semidirect
7. #39560C2semidirect
8. #39079C2semidirect
9. #38262C2semidirect
10. #38110C2semidirect
11. #37969C2semidirect
12. #37958C2semidirect
13. #37950C2semidirect
14. #37884C2semidirect
15. #37876C2semidirect
16. #37866C2semidirect
18. #37350C2semidirect
19. #37339C2semidirect
20. #36262C2semidirect
21. #36189C2semidirect
22. #35597C2semidirect
23. #35589C2semidirect
24. #35263C2semidirect
25. #35002C2semidirect
26. C2×#2500C2semidirect
27. #34379C2semidirect
28. #34180C2semidirect
29. #34082C2semidirect
35. #2860C22semidirect
36. #2859C22semidirect
39. #2857C22semidirect
42. #2854C22semidirect
44. #2796C22semidirect
45. #2790C22semidirect
46. #2785C22semidirect
47. #2783C22semidirect
48. #2782C22semidirect
49. #2781C22semidirect
50. #2781C22semidirect
51. #2779C22semidirect
52. #2778C22semidirect
53. #2777C22semidirect
54. #2775C22semidirect
55. #2775C22semidirect
56. #2773C22semidirect
57. #2768C22semidirect
58. #2767C22semidirect
59. #2763C22semidirect
60. #2762C22semidirect
61. #2759C22semidirect
62. #2757C22semidirect
63. #2756C22semidirect
64. #2754C22semidirect
65. #2753C22semidirect
66. #2751C22semidirect
67. #2730C22semidirect
68. #2730C22semidirect
69. #2728C22semidirect
70. #2723C22semidirect
71. #2720C22semidirect
72. #2718C22semidirect
73. #2711C22semidirect
74. #2708C22semidirect
75. #2706C22semidirect
76. #2705C22semidirect
77. #2702C22semidirect
78. #2702C22semidirect
79. #2698C22semidirect
80. #2696C22semidirect
81. #2681C22semidirect
82. #2681C22semidirect
83. #2680C22semidirect
87. #2647C22semidirect
88. #2644C22semidirect
90. #2628C22semidirect
92. #2625C22semidirect
94. #2624C22semidirect
95. #2624C22semidirect
98. #2610C22semidirect
99. #2604C22semidirect
100. #2602C22semidirect
101. #2602C22semidirect
102. #2601C22semidirect
103. #2598C22semidirect
104. #2595C22semidirect
105. #2594C22semidirect
106. #2593C22semidirect
107. #2589C22semidirect
108. #2587C22semidirect
109. #2576C22semidirect
110. #2574C22semidirect
111. #2570C22semidirect
113. #2560C22semidirect
114. #2560C22semidirect
115. #2559C22semidirect
116. #2557C22semidirect
117. #2556C22semidirect
118. #2549C22semidirect
119. #2549C22semidirect
120. #2536C22semidirect
122. #2532C22semidirect
123. #2529C22semidirect
124. #2512C22semidirect
125. #2512C22semidirect
126. #2511C22semidirect
127. #2509C22semidirect
128. #2508C22semidirect
129. #2507C22semidirect
130. #2507C22semidirect
138. #2498C22semidirect
139. #2497C22semidirect
140. #2497C22semidirect
141. #2495C22semidirect
142. #2494C22semidirect
144. #2491C22semidirect
145. #2491C22semidirect
150. #2485C22semidirect
151. #2485C22semidirect
153. #2478C22semidirect
154. #2477C22semidirect
155. #2476C22semidirect
156. #2474C22semidirect
157. #2474C22semidirect
159. #2469C22semidirect
160. #2468C22semidirect
161. #2468C22semidirect
162. #2463C22semidirect
163. #2461C22semidirect
164. #2461C22semidirect
165. #2460C22semidirect
166. #2452C22semidirect
167. #2452C22semidirect
169. #2441C22semidirect
170. #2440C22semidirect
171. #2440C22semidirect
172. #2440C22semidirect
173. #2440C22semidirect
176. #2427C22semidirect
177. #2426C22semidirect
178. #2423C22semidirect
179. #2422C22semidirect
180. #2422C22semidirect
184. #2415C22semidirect
196. #2347C22semidirect
197. #2346C22semidirect
201. #2343C22semidirect
206. #2335C22semidirect
207. #2335C22semidirect
208. #2333C22semidirect
209. #2332C22semidirect
210. #2331C22semidirect
219. #2324C22semidirect
222. #2319C22semidirect
223. #2317C22semidirect
224. #2317C22semidirect
225. #2316C22semidirect
226. #2316C22semidirect
229. #2314C22semidirect
230. #2314C22semidirect
231. #2314C22semidirect
233. #2311C22semidirect
234. #2311C22semidirect
235. C4×C4⋊Q8C22semidirect
236. C4×#121C22semidirect
237. #2298C22semidirect
238. #2297C22semidirect
239. #2293C22semidirect
240. #2293C22semidirect
244. #2290C22semidirect
248. #2285C22semidirect
255. #2274C22semidirect
256. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#488872
#488852
#472202
#468502
#430542
#430242
#395602
#390792
#382622
#381102
#379692
#379582
#379502
#378842
#378762
#378662
#374392
#373502
#373392
#362622
#361892
#355972
#355892
#352632
#350022
C2×#25002
#343792
#341802
#340822