Finite Group Databasebeta

← #8399462

Subgroups — #8399462

Order 512.

5106 conjugacy classes of subgroups.

The subgroup lattice has 1571 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59381C212yesmaximal, complemented
2#59018C212yesmaximal, complemented
3#56603C212yesmaximal, complemented
4#56413C212yesmaximal, complemented
5#55207C214yesmaximal, complemented
6#48766C214yesmaximal, complemented
7#48675C214yesmaximal, complemented
8#48252C214yesmaximal, complemented
9#48160C214yesmaximal, complemented
10#45670C212yesmaximal, complemented
11#45508C212yesmaximal, complemented
12#45404C212yesmaximal, complemented
13#45130C212yesmaximal, complemented
14#44109C214yesmaximal, complemented
15#43325C212yesmaximal, complemented
16#43220C212yesmaximal, complemented
17#42929C211yesmaximal, characteristic, complemented
18#42684C211yesmaximal, characteristic, complemented
19#40193C212yesmaximal, complemented
20#39934C212yesmaximal, complemented
21#39884C212yesmaximal, complemented
22#39529C212yesmaximal, complemented
23#37381C211yesmaximal, characteristic, complemented
24#36161C212yesmaximal, complemented
25#36096C212yesmaximal, complemented
26#36022C211yesmaximal, characteristic, complemented
27#36009C211yesmaximal, characteristic, complemented
28#35540C211yesmaximal, characteristic, complemented
29#34956C211yesmaximal, characteristic, complemented
30C2×#556C2212yescomplemented
31C2×#555C2211yescharacteristic, complemented
32C2×#547C2211yescharacteristic, complemented
33C2×#546C2212yescomplemented
34C2×#525C2212yescomplemented
35C22×#121C2211yescharacteristic
36C2×#518C2211yescharacteristic, complemented
37C22×C4×D4C2212yes—
38#2857C2212yescomplemented
39#2850C2212yescomplemented
40#2848C2212yes—
41#2848C2212yescomplemented
42#2847C2212yescomplemented
43#2837C2214yescomplemented
44#2826C2212yes—
45#2823C2212yescomplemented
46#2812C2214yescomplemented
47#2800C2214yescomplemented
48#2798C2214yescomplemented
49#2797C2214yes—
50#2797C2214yescomplemented
51#2796C2214yescomplemented
52#2793C2214yescomplemented
53#2789C2212yescomplemented
54#2788C2214yescomplemented
55#2786C2214yescomplemented
56#2785C2212yescomplemented
57#2783C2214yescomplemented
58#2781C2214yescomplemented
59#2778C2214yescomplemented
60#2773C2214yescomplemented
61#2771C2212yescomplemented
62#2770C2214yescomplemented
63#2764C2212yescomplemented
64#2761C2214yescomplemented
65#2761C2214yescomplemented
66#2757C2214yescomplemented
67#2757C2214yescomplemented
68#2751C2214yescomplemented
69#2749C2214yescomplemented
70#2749C2214yescomplemented
71#2746C2214yescomplemented
72#2745C2214yescomplemented
73#2740C2214yescomplemented
74#2739C2214yescomplemented
75#2736C2212yes—
76#2735C2212yes—
77#2730C2214yescomplemented
78#2728C2214yescomplemented
79#2724C2214yescomplemented
80#2722C2212yescomplemented
81#2715C2214yescomplemented
82#2714C2214yescomplemented
83#2712C2212yes—
84#2706C2214yescomplemented
85#2705C2214yescomplemented
86#2701C2214yescomplemented
87#2700C2214yescomplemented
88#2697C2214yescomplemented
89#2697C2214yescomplemented
90#2696C2214yescomplemented
91#2696C2214yescomplemented
92#2692C2214yescomplemented
93#2685C2214yescomplemented
94#2684C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2670C2214yes—
98#2670C2214yescomplemented
99#2653C2214yescomplemented
100#2648C2214yescomplemented
101#2648C2214yescomplemented
102#2637C2214yescomplemented
103#2635C2212yescomplemented
104#2630C2214yescomplemented
105#2630C2214yescomplemented
106#2628C2211yescharacteristic, complemented
107#2621C2211yescharacteristic, complemented
108#2617C2212yes—
109#2602C2214yescomplemented
110#2600C2211yescharacteristic
111#2600C2211yescharacteristic
112#2600C2212yes—
113#2595C2214yescomplemented
114#2595C2214yescomplemented
115#2595C2214yescomplemented
116#2590C2214yescomplemented
117#2582C2212yescomplemented
118#2579C2212yescomplemented
119#2579C2212yescomplemented
120#2579C2214yescomplemented
121#2577C2214yescomplemented
122#2576C2214yescomplemented
123#2570C2212yescomplemented
124#2557C2214yescomplemented
125#2557C2214yescomplemented
126#2557C2214yescomplemented
127#2547C2211yescharacteristic, complemented
128#2547C2212yescomplemented
129#2543C2212yescomplemented
130#2542C2211yescharacteristic, complemented
131#2540C2212yes—
132#2539C2212yes—
133#2538C2212yescomplemented
134#2536C2212yescomplemented
135#2535C2212yes—
136#2535C2211yescharacteristic, complemented
137#2535C2211yescharacteristic, complemented
138#2534C2212yescomplemented
139#2534C2212yescomplemented
140#2525C2214yescomplemented
141#2523C2214yescomplemented
142#2522C2214yescomplemented
143#2517C2212yescomplemented
144#2513C2214yescomplemented
145#2508C2212yescomplemented
146#2499C2212yescomplemented
147#2499C2212yescomplemented
148#2497C2212yescomplemented
149#2495C2212yescomplemented
150#2495C2212yescomplemented
151#2494C2212yescomplemented
152#2492C2212yescomplemented
153#2491C2212yescomplemented
154#2488C2214yescomplemented
155#2486C2212yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2485C2212yescomplemented
159#2483C2211yescharacteristic
160#2483C2212yescomplemented
161#2483C2212yescomplemented
162#2482C2212yescomplemented
163#2480C2214yes—
164#2480C2214yescomplemented
165#2480C2214yescomplemented
166#2472C2214yescomplemented
167#2472C2214yescomplemented
168#2470C2214yescomplemented
169#2466C2214yescomplemented
170#2466C2214yescomplemented
171#2464C2214yes—
172#2461C2214yescomplemented
173#2461C2214yescomplemented
174#2459C2214yescomplemented
175#2458C2214yescomplemented
176#2456C2214yes—
177#2452C2212yescomplemented
178#2451C2212yescomplemented
179#2448C2212yescomplemented
180#2447C2214yescomplemented
181#2447C2214yescomplemented
182#2444C2214yescomplemented
183#2443C2214yescomplemented
184#2439C2212yescomplemented
185#2439C2212yescomplemented
186#2435C2214yes—
187#2429C2212yescomplemented
188#2429C2212yescomplemented
189#2427C2212yescomplemented
190#2426C2212yescomplemented
191#2426C2214yescomplemented
192#2425C2214yescomplemented
193#2424C2214yescomplemented
194#2422C2212yescomplemented
195#2422C2214yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2421C2212yescomplemented
199#2420C2214yescomplemented
200#2420C2212yescomplemented
201#2420C2212yescomplemented
202#2419C2214yescomplemented
203#2418C2214yescomplemented
204#2417C2212yescomplemented
205#2415C2212yescomplemented
206#2415C2212yescomplemented
207#2415C2212yescomplemented
208#2414C2212yes—
209#2414C2212yescomplemented
210#2412C2214yescomplemented
211#2408C2212yescomplemented
212#2407C2212yes—
213#2407C2212yescomplemented
214#2405C2212yes—
215#2405C2212yes—
216#2405C2212yes—
217#2403C2214yes—
218#2403C2211yescharacteristic
219#2395C2212yescomplemented
220#2392C2212yes—
221#2392C2211yescharacteristic
222#2392C2211yescharacteristic
223C2×#397C2212yescomplemented
224#2378C2214yescomplemented
225#2375C2214yescomplemented
226#2368C2214yescomplemented
227#2367C2214yescomplemented
228#2363C2212yescomplemented
229#2363C2212yescomplemented
230#2360C2214yescomplemented
231#2359C2214yescomplemented
232#2358C2214yescomplemented
233#2357C2211yescharacteristic, complemented
234#2355C2212yescomplemented
235#2354C2212yescomplemented
236#2354C2212yescomplemented
237#2352C2212yescomplemented
238#2349C2211yescharacteristic, complemented
239#2341C2212yescomplemented
240#2339C2212yescomplemented
241D4×C22⋊C4C2214yes—
242#2337C2214yescomplemented
243#2335C2214yescomplemented
244#2323C2212yescomplemented
245#2322C2214yescomplemented
246#2318C2214yescomplemented
247#2317C2211yescharacteristic, complemented
248#2317C2211yescharacteristic, complemented
249#2309C2211yescharacteristic, complemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#123C2212yescomplemented
252C4×#123C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#120C2212yescomplemented
255C4×#120C2212yescomplemented
256#2280C2211yescharacteristic
257#2280C2211yescharacteristic
258#2280C2212yescomplemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2312yes—
263C24×C4C2311yescharacteristic
264C24×C4C2312yes—
265#556—48no—
266#555—44no—
267#547—44no—
268#546—48no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×#126C2314yes—
273C2×#126C2314yes—
274C2×#124C2314yes—
275C2×#124C2312yes—
276C2×#124C2314yes—
277C2×#124C2314yes—
278C2×#124C2314yes—
279#525—48no—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2312yes—
285C2×#123C2312yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×#121—44no—
298C2×#121C2312yes—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#120C2314yes—
308C2×#120C2314yes—
309C2×#120C2314yes—
310C2×#120C2314yes—
311C2×#120C2312yes—
312C2×#120C2312yes—
313#518—44no—
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2314yes—
316C2×C4×Q8C2312yes—
317C2×C4×D4—48no—
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2312yes—
327C2×C4×D4C2312yes—
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C2×#117C2312yes—
344C2×#117C2312yes—
345C2×#117C2312yes—
346C2×#117C2312yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2314yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C42C2312yes—
357#401C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2312yes—
365#400C2314yes—
366#399C2312yes—
367#399C2312yes—
368#399C2314yes—
369#399C2312yes—
370#399C2314yes—
371#398C2314yes—
372#398C2312yes—
373#398C2314yes—
374#398C2314yes—
375#398C2311yescharacteristic
376#398C2312yes—
377#398C2311yescharacteristic
378#398C2314yes—
379#398C2314yes—
380#398C2312yes—
381#398C2314yes—
382#398C2314yes—
383#397C2314yes—
384#397C2314yes—
385#397C2312yes—
386#397C2314yes—
387#397C2314yes—
388#397C2314yes—
389#397C2312yes—
390#397C2314yes—
391#397C2314yes—
392#397C2314yes—
393#397C2311yescharacteristic
394#397C2311yescharacteristic
395#397C2314yes—
396#397C2312yes—
397#397C2312yes—
398#397C2312yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2312yes—
404#397C2314yes—
405#397C2314yes—
406#397C2312yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2312yes—
422#396C2312yes—
423#396C2312yes—
424#396C2312yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#395C2312yes—
431#395C2314yes—
432#394C2311yescharacteristic
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2312yes—
441#394C2314yes—
442#394C2314yes—
443#394C2312yes—
444#394C2312yes—
445#394C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2311yescharacteristic
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#393C2312yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#392C2311yescharacteristic
466#392C2312yes—
467#392C2311yescharacteristic
468#392C2314yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2312yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2314yes—
490#390C2314yes—
491#390C2314yes—
492#390C2312yes—
493#390C2314yes—
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2312yes—
592#386C2312yes—
593#386C2312yes—
594#386C2312yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2312yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#385C2312yes—
615#385C2312yes—
616#385C2312yes—
617#385C2312yes—
618#385C2314yes—
619#385C2314yes—
620#385C2312yes—
621#385C2312yes—
622#385C2314yes—
623#385C2314yes—
624#385C2312yes—
625#385C2312yes—
626#385C2314yes—
627#385C2312yes—
628#385C2312yes—
629#385C2312yes—
630#385C2312yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#384C2312yes—
641#384C2312yes—
642#384C2312yes—
643#383C2314yes—
644#383C2314yes—
645#382C2312yes—
646#382C2312yes—
647#382C2312yes—
648#382C2314yes—
649#382C2314yes—
650#382C2311yescharacteristic
651#382C2311yescharacteristic
652#381C2312yes—
653#381C2314yes—
654#381C2314yes—
655#381C2311yescharacteristic
656#381C2311yescharacteristic
657#381C2312yes—
658#381C2314yes—
659#381C2312yes—
660#381C2314yes—
661#381C2312yes—
662#380C2314yes—
663#380C2314yes—
664#380C2312yes—
665#380C2314yes—
666#380C2312yes—
667#380C2312yes—
668#380C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#379C2312yes—
682#379C2312yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2312yes—
687#379C2311yescharacteristic
688#379C2311yescharacteristic
689#379C2312yes—
690#379C2312yes—
691#379C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2314yes—
695C4×C4⋊C4C2314yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C25C2411yescharacteristic
721C25C2412yes—
722C25C2412yes—
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—44no—
726C22×Q8C2412yes—
727C22×Q8C2414yes—
728C22×Q8C2412yes—
729C22×D4—24no—
730C22×D4—24no—
731C22×D4—42no—
732C22×D4—44no—
733C22×D4—44no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—48no—
737C22×D4C2411yescharacteristic
738C22×D4C2412yes—
739C22×D4C2414yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2411yescharacteristic
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2411yescharacteristic
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C23×C4—24no—
754C23×C4—44no—
755C23×C4—42no—
756C23×C4—44no—
757C23×C4—42no—
758C23×C4—44no—
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C4⋊Q8—42no—
778C4⋊Q8—44no—
779C4⋊Q8—42no—
780#126—48no—
781#126—48no—
782#124—44no—
783#124—48no—
784#124—48no—
785#124—48no—
786#124—48no—
787#123—48no—
788#123—48no—
789#123—48no—
790#123—48no—
791#123—44no—
792#123—48no—
793#123—44no—
794#123—48no—
795C22⋊Q8—28no—
796C22⋊Q8—48no—
797C22⋊Q8—48no—
798C22⋊Q8—44no—
799C22⋊Q8—48no—
800C22⋊Q8—44no—
801C22⋊Q8—44no—
802C22⋊Q8—44no—
803C22⋊Q8—44no—
804#121—28no—
805#121—28no—
806#121—48no—
807#121—48no—
808#121—44no—
809#121—44no—
810#121—44no—
811#121—44no—
812#121—44no—
813#120—48no—
814#120—44no—
815#120—48no—
816#120—44no—
817#120—48no—
818#120—48no—
819C4×Q8—48no—
820C4×Q8—44no—
821C4×Q8—44no—
822C4×D4—24no—
823C4×D4—24no—
824C4×D4—28no—
825C4×D4—28no—
826C4×D4—42no—
827C4×D4—42no—
828C4×D4—44no—
829C4×D4—44no—
830C4×D4—44no—
831C4×D4—44no—
832C4×D4—42no—
833C4×D4—42no—
834C4×D4—44no—
835C4×D4—44no—
836C4×D4—44no—
837C4×D4—44no—
838C4×D4—48no—
839C4×D4—44no—
840C4×D4—44no—
841C4×D4—48no—
842C4×D4—48no—
843#117—24no—
844#117—42no—
845#117—42no—
846#117—44no—
847#117—42no—
848#117—44no—
849#117—44no—
850#117—44no—
851C2×C4⋊C4—44no—
852C2×C4⋊C4—42no—
853C2×C4⋊C4—44no—
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2412yes—
867C2×C4⋊C4C2411yescharacteristic
868C2×C4⋊C4C2412yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2411yescharacteristic
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C22⋊C4—44no—
901C2×C22⋊C4—44no—
902C2×C22⋊C4—44no—
903C2×C22⋊C4—44no—
904C2×C22⋊C4—48no—
905C2×C22⋊C4—44no—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2412yes—
908C2×C22⋊C4C2412yes—
909C2×C22⋊C4C2412yes—
910C2×C22⋊C4C2412yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2412yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2411yescharacteristic
926C2×C22⋊C4C2411yescharacteristic
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2411yescharacteristic
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C42—44no—
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2414yes—
984C2×C42C2412yes—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994#95C2412yes—
995#95C2411yescharacteristic
996#95C2414yes—
997#95C2414yes—
998#95C2412yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2414yes—
1005#95C2411yescharacteristic
1006#95C2412yes—
1007#95C2412yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2414yes—
1013#95C2412yes—
1014#95C2414yes—
1015#95C2412yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2411yescharacteristic
1029#95C2414yes—
1030#95C2414yes—
1031#95C2411yescharacteristic
1032#95C2412yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050C24—22no—
1051C24—24no—
1052C24—24no—
1053C24—24no—
1054C24—24no—
1055C24—42no—
1056C24—41no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—41no—
1064C24—42no—
1065C24—44no—
1066C24—44no—
1067C24C2512yes—
1068C24C2512yes—
1069C24C2512yes—
1070C24C2511yescharacteristic
1071C24C2512yes—
1072C24C2512yes—
1073#41—816no—
1074C2×Q8—24no—
1075C2×Q8—24no—
1076C2×Q8—24no—
1077C2×Q8—28no—
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×Q8—42no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—24no—
1088C2×D4—24no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—24no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—24no—
1098C2×D4—24no—
1099C2×D4—22no—
1100C2×D4—416no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—44no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—42no—
1112C2×D4—44no—
1113C2×D4—42no—
1114C2×D4—44no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—432no—
1129C2×D4—816no—
1130C2×D4H(5,𝔽2)14yes—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—28no—
1136C22×C4—22no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—41no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—44no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—41no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—88no—
1180C22×C4—816no—
1181C22×C4H(5,𝔽2)14yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2514yes—
1186C22×C4C2514yes—
1187C22×C4C2512yes—
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—22no—
1210C4⋊C4—24no—
1211C4⋊C4—22no—
1212C4⋊C4—24no—
1213C4⋊C4—28no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—28no—
1218C4⋊C4—41no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—44no—
1224C4⋊C4—42no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—42no—
1229C4⋊C4—42no—
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—44no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C22⋊C4—24no—
1252C22⋊C4—24no—
1253C22⋊C4—24no—
1254C22⋊C4—24no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—24no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—24no—
1264C22⋊C4—24no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—24no—
1268C22⋊C4—24no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C42—24no—
1322C42—24no—
1323C42—24no—
1324C42—22no—
1325C42—22no—
1326C42—24no—
1327C42—42no—
1328C42—42no—
1329C42—44no—
1330C42—42no—
1331C42—44no—
1332C42—44no—
1333C42—44no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C42—44no—
1338C23—21no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—24no—
1343C23—22no—
1344C23—22no—
1345C23—21no—
1346C23—24no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—24no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—24no—
1370C23—22no—
1371C23—48no—
1372C23—44no—
1373C23—48no—
1374C23—48no—
1375C23—82no—
1376C23—84no—
1377C23—84no—
1378C23—84no—
1379C23—84no—
1380C23—84no—
1381C23—84no—
1382C23—88no—
1383C23—84no—
1384C23—82no—
1385C23—84no—
1386C23—84no—
1387C23—164no—
1388C23C2×H(5,𝔽2)12yes—
1389C23C2×H(5,𝔽2)14yes—
1390C23#58514yes—
1391C23C2611yescharacteristic
1392Q8—48no—
1393Q8—88no—
1394Q8—162no—
1395D4—28no—
1396D4—48no—
1397D4—48no—
1398D4—48no—
1399D4—416no—
1400D4—48no—
1401D4—48no—
1402D4—44no—
1403D4—88no—
1404D4—88no—
1405D4—88no—
1406D4—82no—
1407D4—82no—
1408D4—84no—
1409D4—164no—
1410D4—164no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—28no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—48no—
1471C2×C4—48no—
1472C2×C4—48no—
1473C2×C4—48no—
1474C2×C4—84no—
1475C2×C4—84no—
1476C2×C4—84no—
1477C2×C4—84no—
1478C2×C4—82no—
1479C2×C4—88no—
1480C2×C4—84no—
1481C2×C4—84no—
1482C2×C4—84no—
1483C2×C4—84no—
1484C2×C4—162no—
1485C2×C4—162no—
1486C2×C4—164no—
1487C2×C4C2×H(5,𝔽2)12yes—
1488C2×C4C2×H(5,𝔽2)12yes—
1489C2×C4C2×H(5,𝔽2)12yes—
1490C2×C4#58514yes—
1491C2×C4#58512yes—
1492C22—22no—
1493C22—24no—
1494C22—24no—
1495C22—24no—
1496C22—24no—
1497C22—24no—
1498C22—24no—
1499C22—24no—
1500C22—42no—
1501C22—41no—
1502C22—42no—
1503C22—41no—
1504C22—42no—
1505C22—42no—
1506C22—44no—
1507C22—42no—
1508C22—44no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—44no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—44no—
1527C22—42no—
1528C22—88no—
1529C22—816no—
1530C22—168no—
1531C22C22×H(5,𝔽2)11yescharacteristic
1532C22C22×H(5,𝔽2)11yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58512yes—
1535C22C2×#58512yes—
1536C4—22no—
1537C4—24no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—44no—
1542C4—41no—
1543C4—42no—
1544C4—44no—
1545C4—41no—
1546C4—41no—
1547C4—42no—
1548C4—41no—
1549C4—44no—
1550C4—42no—
1551C4—42no—
1552C4—44no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—44no—
1557C4—44no—
1558C4#353414yes—
1559C2—44no—
1560C2—42no—
1561C2—44no—
1562C2—82no—
1563C2—82no—
1564C2—82no—
1565C2C2×#353411yescharacteristic
1566C2#6282112yes—
1567C2#6301711yescharacteristic
1568C2#6302111yescharacteristic
1569C2#6302912yes—
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. #59381C2semidirect
2. #59018C2semidirect
3. #56603C2semidirect
4. #56413C2semidirect
5. #55207C2semidirect
6. #48766C2semidirect
7. #48675C2semidirect
8. #48252C2semidirect
9. #48160C2semidirect
10. #45670C2semidirect
11. #45508C2semidirect
12. #45404C2semidirect
13. #45130C2semidirect
14. #44109C2semidirect
15. #43325C2semidirect
16. #43220C2semidirect
17. #42929C2semidirect
18. #42684C2semidirect
19. #40193C2semidirect
20. #39934C2semidirect
21. #39884C2semidirect
22. #39529C2semidirect
23. #37381C2semidirect
24. #36161C2semidirect
25. #36096C2semidirect
26. #36022C2semidirect
27. #36009C2semidirect
28. #35540C2semidirect
29. #34956C2semidirect
30. C2×#556C22semidirect
31. C2×#555C22semidirect
32. C2×#547C22semidirect
33. C2×#546C22semidirect
34. C2×#525C22semidirect
36. C2×#518C22semidirect
38. #2857C22semidirect
39. #2850C22semidirect
41. #2848C22semidirect
42. #2847C22semidirect
43. #2837C22semidirect
45. #2823C22semidirect
46. #2812C22semidirect
47. #2800C22semidirect
48. #2798C22semidirect
50. #2797C22semidirect
51. #2796C22semidirect
52. #2793C22semidirect
53. #2789C22semidirect
54. #2788C22semidirect
55. #2786C22semidirect
56. #2785C22semidirect
57. #2783C22semidirect
58. #2781C22semidirect
59. #2778C22semidirect
60. #2773C22semidirect
61. #2771C22semidirect
62. #2770C22semidirect
63. #2764C22semidirect
64. #2761C22semidirect
65. #2761C22semidirect
66. #2757C22semidirect
67. #2757C22semidirect
68. #2751C22semidirect
69. #2749C22semidirect
70. #2749C22semidirect
71. #2746C22semidirect
72. #2745C22semidirect
73. #2740C22semidirect
74. #2739C22semidirect
77. #2730C22semidirect
78. #2728C22semidirect
79. #2724C22semidirect
80. #2722C22semidirect
81. #2715C22semidirect
82. #2714C22semidirect
84. #2706C22semidirect
85. #2705C22semidirect
86. #2701C22semidirect
87. #2700C22semidirect
88. #2697C22semidirect
89. #2697C22semidirect
90. #2696C22semidirect
91. #2696C22semidirect
92. #2692C22semidirect
93. #2685C22semidirect
94. #2684C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
98. #2670C22semidirect
99. #2653C22semidirect
100. #2648C22semidirect
101. #2648C22semidirect
102. #2637C22semidirect
103. #2635C22semidirect
104. #2630C22semidirect
105. #2630C22semidirect
106. #2628C22semidirect
107. #2621C22semidirect
109. #2602C22semidirect
113. #2595C22semidirect
114. #2595C22semidirect
115. #2595C22semidirect
116. #2590C22semidirect
117. #2582C22semidirect
118. #2579C22semidirect
119. #2579C22semidirect
120. #2579C22semidirect
121. #2577C22semidirect
122. #2576C22semidirect
123. #2570C22semidirect
124. #2557C22semidirect
125. #2557C22semidirect
126. #2557C22semidirect
127. #2547C22semidirect
128. #2547C22semidirect
129. #2543C22semidirect
130. #2542C22semidirect
133. #2538C22semidirect
134. #2536C22semidirect
136. #2535C22semidirect
137. #2535C22semidirect
138. #2534C22semidirect
139. #2534C22semidirect
140. #2525C22semidirect
141. #2523C22semidirect
142. #2522C22semidirect
143. #2517C22semidirect
144. #2513C22semidirect
145. #2508C22semidirect
146. #2499C22semidirect
147. #2499C22semidirect
148. #2497C22semidirect
149. #2495C22semidirect
150. #2495C22semidirect
151. #2494C22semidirect
152. #2492C22semidirect
153. #2491C22semidirect
154. #2488C22semidirect
155. #2486C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
158. #2485C22semidirect
160. #2483C22semidirect
161. #2483C22semidirect
162. #2482C22semidirect
164. #2480C22semidirect
165. #2480C22semidirect
166. #2472C22semidirect
167. #2472C22semidirect
168. #2470C22semidirect
169. #2466C22semidirect
170. #2466C22semidirect
172. #2461C22semidirect
173. #2461C22semidirect
174. #2459C22semidirect
175. #2458C22semidirect
177. #2452C22semidirect
178. #2451C22semidirect
179. #2448C22semidirect
180. #2447C22semidirect
181. #2447C22semidirect
182. #2444C22semidirect
183. #2443C22semidirect
184. #2439C22semidirect
185. #2439C22semidirect
187. #2429C22semidirect
188. #2429C22semidirect
189. #2427C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2425C22semidirect
193. #2424C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
198. #2421C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
201. #2420C22semidirect
202. #2419C22semidirect
203. #2418C22semidirect
204. #2417C22semidirect
205. #2415C22semidirect
206. #2415C22semidirect
207. #2415C22semidirect
209. #2414C22semidirect
210. #2412C22semidirect
211. #2408C22semidirect
213. #2407C22semidirect
219. #2395C22semidirect
223. C2×#397C22semidirect
224. #2378C22semidirect
225. #2375C22semidirect
226. #2368C22semidirect
227. #2367C22semidirect
228. #2363C22semidirect
229. #2363C22semidirect
230. #2360C22semidirect
231. #2359C22semidirect
232. #2358C22semidirect
233. #2357C22semidirect
234. #2355C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2352C22semidirect
238. #2349C22semidirect
239. #2341C22semidirect
240. #2339C22semidirect
242. #2337C22semidirect
243. #2335C22semidirect
244. #2323C22semidirect
245. #2322C22semidirect
246. #2318C22semidirect
247. #2317C22semidirect
248. #2317C22semidirect
249. #2309C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#123C22semidirect
252. C4×#123C22semidirect
253. C4×#121C22semidirect
254. C4×#120C22semidirect
255. C4×#120C22semidirect
258. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#593812
#590182
#566032
#564132
#552072
#487662
#486752
#482522
#481602
#456702
#455082
#454042
#451302
#441092
#433252
#432202
#429292
#426842
#401932
#399342
#398842
#395292
#373812
#361612
#360962
#360222
#360092
#355402
#349562