Finite Group Databasebeta

← #8159683

Subgroups — #8159683

Order 512.

4760 conjugacy classes of subgroups.

The subgroup lattice has 2314 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59825C212yesmaximal, complemented
2#59806C212yesmaximal, complemented
3#58640C212yesmaximal, complemented
4#58397C212yesmaximal, complemented
5#57549C212yesmaximal, complemented
6#57485C212yesmaximal, complemented
7#57371C212yesmaximal, complemented
8#57218C212yesmaximal, complemented
9#55642C212yesmaximal, complemented
10#55126C212yesmaximal, complemented
11#52918C212yesmaximal, complemented
12#52713C212yesmaximal, complemented
13#52451C212yesmaximal, complemented
14#52427C212yesmaximal, complemented
15#44837C212yesmaximal, complemented
16#43422C212yesmaximal, complemented
17#42378C212yesmaximal, complemented
18#42358C212yesmaximal, complemented
19#41372C212yesmaximal, complemented
20#41197C212yesmaximal, complemented
21#41050C212yesmaximal, complemented
22#40493C212yesmaximal, complemented
23#39743C211yesmaximal, characteristic, complemented
24#39738C211yesmaximal, characteristic, complemented
25#39738C211yesmaximal, characteristic, complemented
26#39670C211yesmaximal, characteristic, complemented
27#39668C211yesmaximal, characteristic, complemented
28#39627C211yesmaximal, characteristic, complemented
29#38361C212yesmaximal, complemented
30#38361C212yesmaximal, complemented
31#37465C211yesmaximal, characteristic, complemented
32#37465C211yesmaximal, characteristic, complemented
33#36761C211yesmaximal, characteristic, complemented
34#36761C211yesmaximal, characteristic, complemented
35#36596C211yesmaximal, characteristic, complemented
36#36570C211yesmaximal, characteristic, complemented
37#35006C211yesmaximal, characteristic, complemented
38C2×#2588C211yesmaximal, characteristic, complemented
39#34594C211yesmaximal, characteristic, complemented
40C2×#553C2212yes—
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#548C2212yes—
44C2×#539C2212yes—
45C2×#529C2212yes—
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2854C2212yes—
51#2851C2211yescharacteristic
52#2851C2211yescharacteristic
53#2841C2212yes—
54#2839C2212yes—
55#2837C2212yes—
56#2836C2212yes—
57#2836C2212yes—
58#2836C2212yes—
59#2836C2212yes—
60#2832C2212yes—
61#2831C2212yes—
62#2830C2212yes—
63#2829C2212yes—
64#2829C2212yes—
65#2829C2212yes—
66#2827C2212yes—
67#2827C2212yes—
68#2826C2212yes—
69#2824C2212yes—
70#2822C2212yes—
71#2820C2212yes—
72#2816C2212yes—
73#2814C2212yes—
74#2814C2212yes—
75#2813C2212yes—
76#2813C2212yes—
77#2802C2212yes—
78#2802C2212yes—
79#2800C2212yes—
80#2800C2212yes—
81#2798C2212yes—
82#2791C2212yes—
83#2791C2212yes—
84#2790C2212yes—
85#2788C2212yes—
86#2786C2212yes—
87#2786C2212yes—
88#2786C2212yes—
89#2780C2212yes—
90#2780C2212yes—
91#2780C2212yes—
92#2779C2212yes—
93#2774C2212yes—
94#2768C2212yes—
95#2763C2212yes—
96#2761C2212yes—
97#2761C2212yes—
98#2755C2212yes—
99#2751C2212yes—
100#2748C2212yes—
101#2747C2212yes—
102#2743C2212yes—
103#2742C2212yes—
104#2740C2212yes—
105#2740C2212yes—
106#2739C2212yes—
107#2733C2212yes—
108#2732C2212yes—
109#2730C2212yes—
110#2730C2212yes—
111#2729C2212yes—
112#2727C2212yes—
113#2726C2212yes—
114#2726C2212yes—
115#2726C2212yes—
116#2725C2212yes—
117#2725C2212yes—
118#2725C2212yes—
119#2725C2212yes—
120#2724C2212yes—
121#2722C2212yes—
122#2722C2212yes—
123#2721C2212yes—
124#2721C2212yes—
125#2715C2212yes—
126#2715C2212yes—
127#2715C2212yes—
128#2715C2212yes—
129#2714C2212yes—
130#2714C2212yes—
131#2710C2212yes—
132#2710C2212yes—
133#2709C2212yes—
134#2709C2212yes—
135#2708C2212yes—
136#2707C2212yes—
137#2707C2212yes—
138#2707C2212yes—
139#2707C2212yes—
140#2705C2212yes—
141#2705C2212yes—
142#2704C2212yes—
143#2704C2212yes—
144#2704C2212yes—
145#2702C2212yes—
146#2702C2212yes—
147#2701C2212yes—
148#2696C2212yes—
149#2695C2212yes—
150#2695C2212yes—
151#2694C2212yes—
152#2694C2212yes—
153#2693C2212yes—
154#2693C2212yes—
155#2692C2212yes—
156#2692C2212yes—
157#2691C2212yes—
158#2691C2212yes—
159#2689C2212yes—
160#2689C2212yes—
161#2687C2212yes—
162#2683C2212yes—
163#2683C2212yes—
164#2682C2212yes—
165#2681C2212yes—
166#2676C2212yes—
167#2676C2212yes—
168#2673C2212yes—
169#2673C2212yes—
170#2672C2212yes—
171#2672C2212yes—
172#2671C2212yes—
173#2667C2212yes—
174#2667C2212yes—
175#2664C2212yes—
176#2664C2212yes—
177#2664C2212yes—
178#2662C2212yes—
179#2662C2212yes—
180#2662C2212yes—
181#2659C2212yes—
182#2659C2211yescharacteristic
183#2656C2211yescharacteristic
184#2656C2211yescharacteristic
185#2656C2211yescharacteristic
186#2654C2212yes—
187#2654C2212yes—
188#2648C2212yes—
189#2648C2212yes—
190#2646C2211yescharacteristic
191#2646C2211yescharacteristic
192#2639C2212yes—
193#2639C2212yes—
194#2639C2212yes—
195#2637C2212yes—
196#2637C2212yes—
197#2637C2212yes—
198#2636C2212yes—
199#2630C2212yes—
200#2630C2212yes—
201#2630C2212yes—
202#2630C2212yes—
203#2625C2212yes—
204#2618C2212yes—
205#2618C2211yescharacteristic
206#2618C2211yescharacteristic
207#2618C2211yescharacteristic
208#2618C2211yescharacteristic
209#2616C2212yes—
210#2609C2212yes—
211#2609C2212yes—
212#2601C2212yes—
213#2601C2212yes—
214#2590C2212yes—
215#2589C2212yes—
216#2588C2212yes—
217#2588C2212yes—
218#2588C2212yes—
219#2588C2212yes—
220#2588C2212yes—
221#2588C2212yes—
222#2588C2212yes—
223#2588C2212yes—
224#2587C2212yes—
225#2586C2212yes—
226#2584C2212yes—
227#2579C2212yes—
228#2579C2212yes—
229#2574C2212yes—
230#2566C2211yescharacteristic
231#2564C2212yes—
232#2562C2212yes—
233#2560C2212yes—
234#2560C2212yes—
235#2558C2212yes—
236#2558C2212yes—
237#2556C2212yes—
238#2554C2212yes—
239#2554C2212yes—
240#2553C2212yes—
241#2553C2212yes—
242#2552C2211yescharacteristic
243#2550C2211yescharacteristic
244#2549C2212yes—
245#2543C2212yes—
246#2543C2212yes—
247#2543C2212yes—
248#2543C2212yes—
249#2543C2212yes—
250#2543C2212yes—
251#2543C2212yes—
252#2543C2212yes—
253#2541C2211yescharacteristic
254#2522C2212yes—
255#2522C2212yes—
256#2522C2212yes—
257#2522C2212yes—
258#2521C2212yes—
259#2521C2212yes—
260#2520C2212yes—
261#2519C2212yes—
262#2519C2212yes—
263#2512C2212yes—
264#2512C2211yescharacteristic
265#2512C2211yescharacteristic
266#2508C2211yescharacteristic
267#2507C2211yescharacteristic
268#2506C2212yes—
269#2505C2212yes—
270#2505C2212yes—
271#2498C2212yes—
272#2498C2212yes—
273#2498C2212yes—
274#2490C2212yes—
275#2489C2212yes—
276#2488C2212yes—
277#2488C2212yes—
278#2487C2212yes—
279#2485C2212yes—
280#2485C2212yes—
281#2479C2212yes—
282#2479C2212yes—
283#2478C2212yes—
284#2478C2212yes—
285#2471C2212yes—
286#2471C2212yes—
287#2467C2212yes—
288#2467C2212yes—
289#2457C2212yes—
290#2457C2212yes—
291#2456C2212yes—
292#2456C2212yes—
293#2455C2212yes—
294#2455C2212yes—
295#2454C2211yescharacteristic
296#2453C2212yes—
297#2452C2212yes—
298#2452C2211yescharacteristic
299#2450C2212yes—
300#2450C2212yes—
301#2450C2212yes—
302#2450C2212yes—
303#2450C2212yes—
304#2450C2212yes—
305#2449C2212yes—
306#2449C2212yes—
307#2449C2212yes—
308#2449C2212yes—
309#2448C2212yes—
310#2447C2212yes—
311#2445C2211yescharacteristic
312#2445C2212yes—
313#2445C2211yescharacteristic
314#2444C2212yes—
315#2444C2212yes—
316#2444C2212yes—
317#2444C2212yes—
318#2443C2212yes—
319#2443C2212yes—
320#2443C2212yes—
321#2443C2212yes—
322#2431C2212yes—
323#2430C2212yes—
324#2427C2212yes—
325#2425C2212yes—
326#2425C2212yes—
327#2425C2212yes—
328#2425C2212yes—
329#2425C2212yes—
330#2425C2212yes—
331#2425C2212yes—
332#2425C2212yes—
333#2425C2212yes—
334#2425C2212yes—
335#2423C2212yes—
336#2416C2212yes—
337#2416C2212yes—
338#2416C2212yes—
339#2416C2212yes—
340#2415C2212yes—
341#2409C2212yes—
342#2407C2212yes—
343#2407C2212yes—
344#2396C2212yes—
345#2396C2212yes—
346C2×#400C2211yescharacteristic
347C2×#400C2211yescharacteristic
348#2392C2212yes—
349#2392C2212yes—
350C2×#398C2211yescharacteristic
351C2×#395C2211yescharacteristic
352#2370C2211yescharacteristic
353#2368C2212yes—
354#2366C2211yescharacteristic
355#2363C2212yes—
356#2362C2212yes—
357#2359C2212yes—
358#2359C2212yes—
359#2354C2211yescharacteristic
360#2349C2212yes—
361#2349C2212yes—
362#2349C2211yescharacteristic
363#2349C2212yes—
364#2349C2212yes—
365#2339C2212yes—
366#2325C2211yescharacteristic
367#2325C2211yescharacteristic
368#2325C2211yescharacteristic
369#2325C2211yescharacteristic
370#2325C2211yescharacteristic
371#2325C2211yescharacteristic
372#2325C2212yes—
373#2325C2212yes—
374#2323C2212yes—
375#2323C2212yes—
376C4×#121C2211yescharacteristic
377C4×#121C2212yes—
378C4×#121C2211yescharacteristic
379C4×#121C2211yescharacteristic
380C4×#121C2211yescharacteristic
381C4×#121C2211yescharacteristic
382C4×#121C2211yescharacteristic
383C4×#121C2212yes—
384C2×#391C2211yescharacteristic
385C2×#391C2211yescharacteristic
386C2×#389C2211yescharacteristic
387C2×#387C2211yescharacteristic
388C2×#387C2211yescharacteristic
389C2×#387C2211yescharacteristic
390C2×#387C2211yescharacteristic
391C2×#387C2211yescharacteristic
392C2×#387C2211yescharacteristic
393C2×C4×C4⋊C4C2211yescharacteristic
394C2×C4×C4⋊C4C2211yescharacteristic
395C22×#41C2312yes—
396C23×Q8C2311yescharacteristic
397#553—48no—
398#553—48no—
399#553—48no—
400#548—48no—
401#539—48no—
402C2×C4⋊Q8C2311yescharacteristic
403C2×#127C2311yescharacteristic
404C2×#127C2311yescharacteristic
405C2×#127C2311yescharacteristic
406#529—48no—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2311yescharacteristic
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×#121C2311yescharacteristic
459C2×#121C2311yescharacteristic
460C2×#121C2311yescharacteristic
461C2×#121C2312yes—
462C2×#121C2311yescharacteristic
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2312yes—
471C2×#121C2312yes—
472C2×#121C2312yes—
473C2×#121C2312yes—
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×#121C2312yes—
480C2×#121C2312yes—
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2311yescharacteristic
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2311yescharacteristic
522C22×C4⋊C4C2311yescharacteristic
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526C22×C42C2311yescharacteristic
527C22×C42C2311yescharacteristic
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#399C2312yes—
555#399C2312yes—
556#399C2312yes—
557#399C2312yes—
558#399C2312yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#396C2312yes—
671#396C2312yes—
672#396C2312yes—
673#396C2312yes—
674#396C2312yes—
675#396C2312yes—
676#396C2312yes—
677#396C2312yes—
678#396C2312yes—
679#396C2312yes—
680#396C2312yes—
681#396C2312yes—
682#396C2312yes—
683#396C2312yes—
684#396C2312yes—
685#396C2312yes—
686#396C2312yes—
687#396C2312yes—
688#396C2312yes—
689#396C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#395C2312yes—
698#395C2312yes—
699#395C2312yes—
700#395C2312yes—
701#395C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#394C2312yes—
715#394C2312yes—
716#394C2312yes—
717#394C2312yes—
718#394C2312yes—
719#394C2312yes—
720#394C2312yes—
721#394C2312yes—
722#394C2312yes—
723#394C2312yes—
724#394C2312yes—
725#394C2312yes—
726#394C2312yes—
727#394C2312yes—
728#394C2312yes—
729#394C2312yes—
730#394C2312yes—
731#394C2312yes—
732#394C2312yes—
733#394C2312yes—
734#394C2312yes—
735#394C2312yes—
736#394C2312yes—
737#394C2312yes—
738#394C2312yes—
739#394C2312yes—
740#394C2312yes—
741#394C2312yes—
742#394C2312yes—
743#394C2312yes—
744#393C2312yes—
745#393C2312yes—
746#393C2312yes—
747#393C2312yes—
748#393C2312yes—
749#393C2312yes—
750#393C2312yes—
751#393C2312yes—
752#393C2312yes—
753#393C2312yes—
754#392C2312yes—
755#392C2312yes—
756#392C2312yes—
757#392C2312yes—
758#392C2312yes—
759#392C2312yes—
760#392C2312yes—
761#392C2312yes—
762#392C2312yes—
763#392C2312yes—
764#392C2312yes—
765#392C2312yes—
766#392C2312yes—
767#392C2312yes—
768#391C2312yes—
769#391C2312yes—
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#391C2312yes—
775#391C2312yes—
776#391C2312yes—
777#391C2312yes—
778#391C2312yes—
779#391C2312yes—
780#391C2312yes—
781#391C2312yes—
782#391C2312yes—
783#390C2311yescharacteristic
784#390C2311yescharacteristic
785#390C2311yescharacteristic
786#390C2311yescharacteristic
787#390C2311yescharacteristic
788#390C2312yes—
789#390C2312yes—
790#390C2312yes—
791#390C2312yes—
792#390C2311yescharacteristic
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2311yescharacteristic
797#390C2312yes—
798#390C2312yes—
799#390C2311yescharacteristic
800#390C2311yescharacteristic
801#390C2312yes—
802#390C2312yes—
803#390C2311yescharacteristic
804#390C2311yescharacteristic
805#390C2312yes—
806#390C2311yescharacteristic
807#390C2312yes—
808#390C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2311yescharacteristic
817#389C2312yes—
818#389C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2311yescharacteristic
832#389C2312yes—
833#389C2312yes—
834#389C2312yes—
835#389C2311yescharacteristic
836#389C2311yescharacteristic
837#389C2311yescharacteristic
838#389C2312yes—
839#389C2312yes—
840#389C2312yes—
841#389C2311yescharacteristic
842#389C2311yescharacteristic
843#389C2312yes—
844#389C2312yes—
845#389C2312yes—
846#389C2312yes—
847#389C2312yes—
848#389C2312yes—
849#389C2312yes—
850#389C2311yescharacteristic
851#389C2311yescharacteristic
852#389C2312yes—
853#389C2311yescharacteristic
854#389C2311yescharacteristic
855#389C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2312yes—
1048#385C2312yes—
1049#385C2312yes—
1050#384C2311yescharacteristic
1051#384C2311yescharacteristic
1052#384C2311yescharacteristic
1053#384C2311yescharacteristic
1054#382C2312yes—
1055#382C2311yescharacteristic
1056#382C2312yes—
1057#382C2312yes—
1058#382C2311yescharacteristic
1059#382C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#381C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2311yescharacteristic
1075#380C2311yescharacteristic
1076#380C2311yescharacteristic
1077#380C2312yes—
1078#380C2312yes—
1079#380C2312yes—
1080#380C2312yes—
1081#380C2312yes—
1082#380C2312yes—
1083#380C2312yes—
1084#380C2312yes—
1085#380C2312yes—
1086#380C2311yescharacteristic
1087#380C2312yes—
1088#380C2312yes—
1089#380C2312yes—
1090#380C2312yes—
1091#380C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C4⋊C4C2311yescharacteristic
1110C4×C4⋊C4C2311yescharacteristic
1111C4×C4⋊C4C2312yes—
1112C4×C4⋊C4C2311yescharacteristic
1113C4×C4⋊C4C2311yescharacteristic
1114C4×C4⋊C4C2311yescharacteristic
1115C4×C4⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C2×#95C2312yes—
1127C2×#95C2311yescharacteristic
1128C2×#95C2311yescharacteristic
1129C2×#95C2311yescharacteristic
1130C2×#95C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2311yescharacteristic
1133C2×#95C2311yescharacteristic
1134C2×#95C2311yescharacteristic
1135C2×#95C2311yescharacteristic
1136C2×#95C2312yes—
1137C2×#95C2311yescharacteristic
1138C2×#95C2311yescharacteristic
1139C2×#95C2311yescharacteristic
1140C2×#95C2311yescharacteristic
1141C2×#95C2311yescharacteristic
1142C2×#95C2311yescharacteristic
1143C2×#95C2311yescharacteristic
1144C2×#95C2311yescharacteristic
1145C2×#95C2311yescharacteristic
1146C2×#95C2311yescharacteristic
1147C2×#95C2311yescharacteristic
1148C2×#41—44no—
1149C2×#41—44no—
1150C2×#41—82no—
1151C22×Q8—24no—
1152C22×Q8—42no—
1153C22×Q8—81no—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2412yes—
1161C22×D4C2412yes—
1162C22×D4C2411yescharacteristic
1163C22×D4C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2411yescharacteristic
1167C22×D4C2411yescharacteristic
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C23×C4C2411yescharacteristic
1179C23×C4C2411yescharacteristic
1180C23×C4C2411yescharacteristic
1181C23×C4C2411yescharacteristic
1182C23×C4C2411yescharacteristic
1183C23×C4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2411yescharacteristic
1186C23×C4C2411yescharacteristic
1187C23×C4C2411yescharacteristic
1188C23×C4C2411yescharacteristic
1189C23×C4C2411yescharacteristic
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C23×C4C2412yes—
1201C23×C4C2412yes—
1202C23×C4C2411yescharacteristic
1203C23×C4C2411yescharacteristic
1204C23×C4C2411yescharacteristic
1205C4⋊Q8—81no—
1206#127—42no—
1207#127—81no—
1208#127—81no—
1209#126—44no—
1210#126—44no—
1211#126—44no—
1212#126—44no—
1213#126—44no—
1214#126—44no—
1215#126—44no—
1216#126—44no—
1217#126—44no—
1218#126—44no—
1219#125—42no—
1220#125—44no—
1221#125—44no—
1222#125—44no—
1223#125—44no—
1224#125—44no—
1225#125—44no—
1226#125—81no—
1227#124—44no—
1228#124—44no—
1229#124—44no—
1230#124—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236#123—44no—
1237#123—44no—
1238#123—44no—
1239#123—44no—
1240#123—44no—
1241#123—44no—
1242#123—44no—
1243#123—44no—
1244#123—44no—
1245#123—82no—
1246#123—82no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251C22⋊Q8—44no—
1252C22⋊Q8—44no—
1253C22⋊Q8—44no—
1254C22⋊Q8—44no—
1255C22⋊Q8—44no—
1256C22⋊Q8—44no—
1257C22⋊Q8—44no—
1258C22⋊Q8—82no—
1259C22⋊Q8—82no—
1260#121—28no—
1261#121—28no—
1262#121—24no—
1263#121—24no—
1264#121—24no—
1265#121—24no—
1266#121—44no—
1267#121—44no—
1268#121—44no—
1269#121—44no—
1270#121—44no—
1271#121—44no—
1272#121—44no—
1273#121—44no—
1274#121—44no—
1275#121—44no—
1276#121—44no—
1277#121—44no—
1278#121—44no—
1279#121—44no—
1280#121—44no—
1281#121—44no—
1282#121—82no—
1283C4×Q8—44no—
1284C4×Q8—44no—
1285C4×D4—28no—
1286C4×D4—28no—
1287C4×D4—28no—
1288C4×D4—28no—
1289C4×D4—42no—
1290C4×D4—44no—
1291C4×D4—42no—
1292C4×D4—44no—
1293C4×D4—44no—
1294C4×D4—44no—
1295C4×D4—44no—
1296C4×D4—44no—
1297C4×D4—44no—
1298C4×D4—44no—
1299C4×D4—44no—
1300C4×D4—44no—
1301C4×D4—44no—
1302C4×D4—44no—
1303C4×D4—81no—
1304C4×D4—81no—
1305C4×D4—81no—
1306C4×D4—82no—
1307C4×D4—82no—
1308C4×D4—81no—
1309#117—44no—
1310#117—44no—
1311#117—44no—
1312#117—44no—
1313#117—44no—
1314C2×C4⋊C4—24no—
1315C2×C4⋊C4—24no—
1316C2×C4⋊C4—24no—
1317C2×C4⋊C4—24no—
1318C2×C4⋊C4—24no—
1319C2×C4⋊C4—42no—
1320C2×C4⋊C4—42no—
1321C2×C4⋊C4—42no—
1322C2×C4⋊C4—42no—
1323C2×C4⋊C4—81no—
1324C2×C4⋊C4—81no—
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2411yescharacteristic
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2411yescharacteristic
1384C2×C4⋊C4C2411yescharacteristic
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2412yes—
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2412yes—
1407C2×C4⋊C4C2412yes—
1408C2×C4⋊C4C2412yes—
1409C2×C4⋊C4C2412yes—
1410C2×C4⋊C4C2412yes—
1411C2×C4⋊C4C2412yes—
1412C2×C4⋊C4C2411yescharacteristic
1413C2×C4⋊C4C2411yescharacteristic
1414C2×C4⋊C4C2411yescharacteristic
1415C2×C4⋊C4C2412yes—
1416C2×C4⋊C4C2412yes—
1417C2×C4⋊C4C2412yes—
1418C2×C4⋊C4C2412yes—
1419C2×C4⋊C4C2412yes—
1420C2×C4⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C22⋊C4C2412yes—
1496C2×C22⋊C4C2412yes—
1497C2×C22⋊C4C2412yes—
1498C2×C22⋊C4C2412yes—
1499C2×C22⋊C4C2412yes—
1500C2×C22⋊C4C2412yes—
1501C2×C22⋊C4C2412yes—
1502C2×C22⋊C4C2412yes—
1503C2×C22⋊C4C2412yes—
1504C2×C22⋊C4C2412yes—
1505C2×C42—24no—
1506C2×C42—42no—
1507C2×C42—81no—
1508C2×C42—81no—
1509C2×C42—81no—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2412yes—
1525C2×C42C2412yes—
1526C2×C42C2412yes—
1527C2×C42C2411yescharacteristic
1528C2×C42C2411yescharacteristic
1529C2×C42C2411yescharacteristic
1530C2×C42C2411yescharacteristic
1531C2×C42C2412yes—
1532C2×C42C2411yescharacteristic
1533C2×C42C2411yescharacteristic
1534C2×C42C2411yescharacteristic
1535C2×C42C2411yescharacteristic
1536C2×C42C2411yescharacteristic
1537C2×C42C2411yescharacteristic
1538#95C2411yescharacteristic
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2411yescharacteristic
1546#95C2411yescharacteristic
1547#95C2412yes—
1548#95C2411yescharacteristic
1549#95C2411yescharacteristic
1550#95C2411yescharacteristic
1551#95C2412yes—
1552#95C2411yescharacteristic
1553#95C2411yescharacteristic
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633#95C2412yes—
1634C24C2512yes—
1635C24C2512yes—
1636C24C2512yes—
1637C24C2512yes—
1638C24C2511yescharacteristic
1639#41—816no—
1640C2×Q8—24no—
1641C2×Q8—24no—
1642C2×Q8—24no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8—88no—
1653C2×D4—24no—
1654C2×D4—24no—
1655C2×D4—24no—
1656C2×D4—24no—
1657C2×D4—24no—
1658C2×D4—24no—
1659C2×D4—24no—
1660C2×D4—24no—
1661C2×D4—24no—
1662C2×D4—24no—
1663C2×D4—24no—
1664C2×D4—24no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—22no—
1668C2×D4—22no—
1669C2×D4—22no—
1670C2×D4—22no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—41no—
1674C2×D4—41no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—41no—
1681C2×D4—42no—
1682C2×D4—41no—
1683C2×D4—41no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—41no—
1693C2×D4—41no—
1694C2×D4—41no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C22×C4—22no—
1714C22×C4—22no—
1715C22×C4—22no—
1716C22×C4—22no—
1717C22×C4—22no—
1718C22×C4—22no—
1719C22×C4—22no—
1720C22×C4—22no—
1721C22×C4—22no—
1722C22×C4—22no—
1723C22×C4—22no—
1724C22×C4—22no—
1725C22×C4—22no—
1726C22×C4—22no—
1727C22×C4—22no—
1728C22×C4—22no—
1729C22×C4—24no—
1730C22×C4—24no—
1731C22×C4—24no—
1732C22×C4—24no—
1733C22×C4—24no—
1734C22×C4—24no—
1735C22×C4—41no—
1736C22×C4—41no—
1737C22×C4—41no—
1738C22×C4—41no—
1739C22×C4—41no—
1740C22×C4—41no—
1741C22×C4—41no—
1742C22×C4—41no—
1743C22×C4—41no—
1744C22×C4—41no—
1745C22×C4—41no—
1746C22×C4—41no—
1747C22×C4—41no—
1748C22×C4—41no—
1749C22×C4—41no—
1750C22×C4—41no—
1751C22×C4—41no—
1752C22×C4—41no—
1753C22×C4—41no—
1754C22×C4—41no—
1755C22×C4—41no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—42no—
1759C22×C4—42no—
1760C22×C4—42no—
1761C22×C4—42no—
1762C22×C4—42no—
1763C22×C4—42no—
1764C22×C4—42no—
1765C22×C4—42no—
1766C22×C4—42no—
1767C22×C4—42no—
1768C22×C4—42no—
1769C22×C4—42no—
1770C22×C4—42no—
1771C22×C4—42no—
1772C22×C4—41no—
1773C22×C4—41no—
1774C22×C4—41no—
1775C22×C4—41no—
1776C22×C4—41no—
1777C22×C4—42no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4—42no—
1781C22×C4—42no—
1782C22×C4—42no—
1783C22×C4—42no—
1784C22×C4—42no—
1785C22×C4—42no—
1786C22×C4—42no—
1787C22×C4—42no—
1788C22×C4—42no—
1789C22×C4—42no—
1790C22×C4—42no—
1791C22×C4H(5,𝔽2)14yes—
1792C22×C4H(5,𝔽2)14yes—
1793C22×C42−1+414yes—
1794C22×C4C2511yescharacteristic
1795C22×C4C2512yes—
1796C22×C4C2511yescharacteristic
1797C22×C4C2512yes—
1798C22×C4C2512yes—
1799C22×C4C2511yescharacteristic
1800C22×C4C2512yes—
1801C22×C4C2511yescharacteristic
1802C22×C4C2512yes—
1803C22×C4C2512yes—
1804C22×C4C2512yes—
1805C22×C4C2512yes—
1806C22×C4C2512yes—
1807C22×C4C2512yes—
1808C22×C4C2511yescharacteristic
1809C22×C4C2511yescharacteristic
1810C22×C4C2511yescharacteristic
1811C22×C4C2512yes—
1812C22×C4C2512yes—
1813C22×C4C2512yes—
1814C22×C4C2512yes—
1815C22×C4C2512yes—
1816C22×C4C2512yes—
1817C22×C4C2512yes—
1818C22×C4C2512yes—
1819C22×C4C2511yescharacteristic
1820C22×C4C2512yes—
1821C22×C4C2511yescharacteristic
1822C22×C4C2512yes—
1823C22×C4C2511yescharacteristic
1824C22×C4C2511yescharacteristic
1825C22×C4C2511yescharacteristic
1826C22×C4C2511yescharacteristic
1827C22×C4C2511yescharacteristic
1828C4⋊C4—22no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—22no—
1832C4⋊C4—24no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—24no—
1836C4⋊C4—22no—
1837C4⋊C4—22no—
1838C4⋊C4—24no—
1839C4⋊C4—24no—
1840C4⋊C4—24no—
1841C4⋊C4—24no—
1842C4⋊C4—24no—
1843C4⋊C4—24no—
1844C4⋊C4—24no—
1845C4⋊C4—24no—
1846C4⋊C4—22no—
1847C4⋊C4—22no—
1848C4⋊C4—22no—
1849C4⋊C4—22no—
1850C4⋊C4—22no—
1851C4⋊C4—24no—
1852C4⋊C4—24no—
1853C4⋊C4—22no—
1854C4⋊C4—24no—
1855C4⋊C4—24no—
1856C4⋊C4—24no—
1857C4⋊C4—41no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—41no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—41no—
1878C4⋊C4—41no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4—42no—
1887C4⋊C4—42no—
1888C4⋊C4—41no—
1889C4⋊C4—42no—
1890C4⋊C4—41no—
1891C4⋊C4—41no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—42no—
1895C4⋊C4—42no—
1896C4⋊C4—42no—
1897C4⋊C4—42no—
1898C4⋊C4—42no—
1899C4⋊C4—42no—
1900C4⋊C4—42no—
1901C4⋊C4—42no—
1902C4⋊C4—42no—
1903C4⋊C4—42no—
1904C4⋊C4—42no—
1905C4⋊C4—42no—
1906C4⋊C4—42no—
1907C4⋊C4—42no—
1908C4⋊C4—42no—
1909C4⋊C4—42no—
1910C4⋊C4—42no—
1911C4⋊C4—42no—
1912C4⋊C4—42no—
1913C4⋊C4—42no—
1914C4⋊C4—42no—
1915C4⋊C4—42no—
1916C4⋊C4—42no—
1917C4⋊C4—42no—
1918C4⋊C4—42no—
1919C4⋊C4—42no—
1920C4⋊C4—41no—
1921C4⋊C4—41no—
1922C4⋊C4—42no—
1923C4⋊C4—41no—
1924C22⋊C4—24no—
1925C22⋊C4—24no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—24no—
1929C22⋊C4—24no—
1930C22⋊C4—24no—
1931C22⋊C4—24no—
1932C22⋊C4—24no—
1933C22⋊C4—24no—
1934C22⋊C4—24no—
1935C22⋊C4—24no—
1936C22⋊C4—24no—
1937C22⋊C4—24no—
1938C22⋊C4—24no—
1939C22⋊C4—24no—
1940C22⋊C4—24no—
1941C22⋊C4—24no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—42no—
1987C22⋊C4—42no—
1988C22⋊C4—42no—
1989C22⋊C4—42no—
1990C22⋊C4—42no—
1991C22⋊C4—42no—
1992C22⋊C4—42no—
1993C22⋊C4—42no—
1994C22⋊C4—42no—
1995C22⋊C4—42no—
1996C22⋊C4—42no—
1997C22⋊C4—42no—
1998C22⋊C4—42no—
1999C22⋊C4—42no—
2000C22⋊C4—42no—
2001C22⋊C4—42no—
2002C22⋊C4—42no—
2003C22⋊C4—42no—
2004C22⋊C4—42no—
2005C22⋊C4—42no—
2006C22⋊C4—42no—
2007C22⋊C4—42no—
2008C42—24no—
2009C42—24no—
2010C42—24no—
2011C42—24no—
2012C42—24no—
2013C42—24no—
2014C42—22no—
2015C42—22no—
2016C42—41no—
2017C42—41no—
2018C42—41no—
2019C42—41no—
2020C42—42no—
2021C42—41no—
2022C42—41no—
2023C42—42no—
2024C42—41no—
2025C42—41no—
2026C42—41no—
2027C42—41no—
2028C42—42no—
2029C42—42no—
2030C42—42no—
2031C42—42no—
2032C42—42no—
2033C42—42no—
2034C42—42no—
2035C42—42no—
2036C23—21no—
2037C23—21no—
2038C23—21no—
2039C23—21no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23—22no—
2045C23—22no—
2046C23—22no—
2047C23—22no—
2048C23—22no—
2049C23—22no—
2050C23—22no—
2051C23—22no—
2052C23—22no—
2053C23—22no—
2054C23—22no—
2055C23—22no—
2056C23—22no—
2057C23—22no—
2058C23—22no—
2059C23—22no—
2060C23—22no—
2061C23—22no—
2062C23—22no—
2063C23—22no—
2064C23—22no—
2065C23—22no—
2066C23—22no—
2067C23—22no—
2068C23C2×H(5,𝔽2)12yes—
2069C23C2×H(5,𝔽2)12yes—
2070C23C2×2−1+412yes—
2071C23C2611yescharacteristic
2072Q8—48no—
2073Q8—84no—
2074Q8—84no—
2075Q8—162no—
2076D4—44no—
2077D4—48no—
2078D4—48no—
2079D4—48no—
2080D4—48no—
2081D4—48no—
2082D4—84no—
2083D4—84no—
2084D4—82no—
2085D4—82no—
2086D4—82no—
2087D4—84no—
2088D4—84no—
2089D4—84no—
2090D4—84no—
2091D4—162no—
2092D4—162no—
2093D4—162no—
2094D4—162no—
2095D4—162no—
2096C2×C4—21no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—21no—
2106C2×C4—22no—
2107C2×C4—21no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—21no—
2126C2×C4—21no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—21no—
2135C2×C4—21no—
2136C2×C4—22no—
2137C2×C4—21no—
2138C2×C4—21no—
2139C2×C4—21no—
2140C2×C4—21no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—21no—
2148C2×C4—21no—
2149C2×C4—21no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—21no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—21no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—21no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—21no—
2169C2×C4—22no—
2170C2×C4—21no—
2171C2×C4—21no—
2172C2×C4—21no—
2173C2×C4—21no—
2174C2×C4—21no—
2175C2×C4—22no—
2176C2×C4—22no—
2177C2×C4—22no—
2178C2×C4—22no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—21no—
2182C2×C4—21no—
2183C2×C4—22no—
2184C2×C4—22no—
2185C2×C4—22no—
2186C2×C4—22no—
2187C2×C4—22no—
2188C2×C4—22no—
2189C2×C4—21no—
2190C2×C4—21no—
2191C2×C4—44no—
2192C2×C4—44no—
2193C2×C4—44no—
2194C2×C4—44no—
2195C2×C4—44no—
2196C2×C4—44no—
2197C2×C4—44no—
2198C2×C4—84no—
2199C2×C4—84no—
2200C2×C4—84no—
2201C2×C4—84no—
2202C2×C4—84no—
2203C2×C4—84no—
2204C2×C4—82no—
2205C2×C4—82no—
2206C2×C4—82no—
2207C2×C4—82no—
2208C2×C4—82no—
2209C2×C4—82no—
2210C2×C4—82no—
2211C2×C4—82no—
2212C2×C4—84no—
2213C2×C4—84no—
2214C2×C4—162no—
2215C2×C4—162no—
2216C2×C4—162no—
2217C2×C4—162no—
2218C2×C4C2×H(5,𝔽2)12yes—
2219C2×C4C2×H(5,𝔽2)12yes—
2220C2×C4C2×H(5,𝔽2)14yes—
2221C2×C4C2×2−1+412yes—
2222C2×C4C2×2−1+412yes—
2223C2×C4#58512yes—
2224C2×C4#58512yes—
2225C22—22no—
2226C22—22no—
2227C22—22no—
2228C22—22no—
2229C22—22no—
2230C22—22no—
2231C22—42no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—42no—
2236C22—42no—
2237C22—42no—
2238C22—42no—
2239C22—42no—
2240C22—42no—
2241C22—42no—
2242C22—42no—
2243C22—42no—
2244C22—42no—
2245C22—42no—
2246C22—42no—
2247C22—42no—
2248C22—42no—
2249C22—42no—
2250C22—42no—
2251C22—42no—
2252C22—42no—
2253C22—42no—
2254C22—42no—
2255C22—42no—
2256C22—42no—
2257C22—42no—
2258C22—42no—
2259C22#354814yes—
2260C22C22×H(5,𝔽2)11yescharacteristic
2261C22C22×H(5,𝔽2)11yescharacteristic
2262C22C22×2−1+411yescharacteristic
2263C22C2×#58511yescharacteristic
2264C22C2×#58511yescharacteristic
2265C22H(7,𝔽2)11yescharacteristic
2266C222−1+611yescharacteristic
2267C4—22no—
2268C4—22no—
2269C4—22no—
2270C4—24no—
2271C4—22no—
2272C4—22no—
2273C4—22no—
2274C4—41no—
2275C4—42no—
2276C4—42no—
2277C4—42no—
2278C4—42no—
2279C4—42no—
2280C4—42no—
2281C4—42no—
2282C4—42no—
2283C4—42no—
2284C4—42no—
2285C4—42no—
2286C4—41no—
2287C4—42no—
2288C4—41no—
2289C4—41no—
2290C4—42no—
2291C4—42no—
2292C4—41no—
2293C4—42no—
2294C4—41no—
2295C4—42no—
2296C4—42no—
2297C4—41no—
2298C4—42no—
2299C4—41no—
2300C4—42no—
2301C2—24no—
2302C2—82no—
2303C2—82no—
2304C2—82no—
2305C2—82no—
2306C2#6274811yescharacteristic
2307C2C2×#354811yescharacteristic
2308C2#6286611yescharacteristic
2309C2#6290011yescharacteristic
2310C2#6290211yescharacteristic
2311C2#6293111yescharacteristic
2312C2#6295611yescharacteristic
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. #59825C2semidirect
2. #59806C2semidirect
3. #58640C2semidirect
4. #58397C2semidirect
5. #57549C2semidirect
6. #57485C2semidirect
7. #57371C2semidirect
8. #57218C2semidirect
9. #55642C2semidirect
10. #55126C2semidirect
11. #52918C2semidirect
12. #52713C2semidirect
13. #52451C2semidirect
14. #52427C2semidirect
15. #44837C2semidirect
16. #43422C2semidirect
17. #42378C2semidirect
18. #42358C2semidirect
19. #41372C2semidirect
20. #41197C2semidirect
21. #41050C2semidirect
22. #40493C2semidirect
23. #39743C2semidirect
24. #39738C2semidirect
25. #39738C2semidirect
26. #39670C2semidirect
27. #39668C2semidirect
28. #39627C2semidirect
29. #38361C2semidirect
30. #38361C2semidirect
31. #37465C2semidirect
32. #37465C2semidirect
33. #36761C2semidirect
34. #36761C2semidirect
35. #36596C2semidirect
36. #36570C2semidirect
37. #35006C2semidirect
38. C2×#2588C2semidirect
39. #34594C2semidirect

Maximal subgroups

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

subgroupindex
#598252
#598062
#586402
#583972
#575492
#574852
#573712
#572182
#556422
#551262
#529182
#527132
#524512
#524272
#448372
#434222
#423782
#423582
#413722
#411972
#410502
#404932
#397432
#397382
#396702
#396682
#396272
#383612
#374652
#367612
#365962
#365702
#350062
C2×#25882
#345942