Finite Group Databasebeta

← #7987595

Subgroups — #7987595

Order 512.

4469 conjugacy classes of subgroups.

The subgroup lattice has 1651 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59504C212yesmaximal, complemented
2#59429C211yesmaximal, characteristic, complemented
3#59289C212yesmaximal, complemented
4#59259C211yesmaximal, characteristic, complemented
5#59219C211yesmaximal, characteristic, complemented
6#50462C214yesmaximal, complemented
7#50382C214yesmaximal, complemented
8#46086C214yesmaximal, complemented
9#45401C212yesmaximal, complemented
10#45130C212yesmaximal, complemented
11#45053C212yesmaximal, complemented
12#44900C212yesmaximal, complemented
13#42993C212yesmaximal, complemented
14#42957C212yesmaximal, complemented
15#42783C212yesmaximal, complemented
16#42748C212yesmaximal, complemented
17#39498C211yesmaximal, characteristic, complemented
18#39470C211yesmaximal, characteristic, complemented
19#38978C211yesmaximal, characteristic, complemented
20#38931C211yesmaximal, characteristic, complemented
21#38591C214yesmaximal, complemented
22#38226C212yesmaximal, complemented
23#37968C212yesmaximal, complemented
24#36589C212yesmaximal, complemented
25#36459C211yesmaximal, characteristic, complemented
26#36451C212yesmaximal, complemented
27#36275C211yesmaximal, characteristic, complemented
28#36210C211yesmaximal, characteristic, complemented
29#35267C212yesmaximal, complemented
30#35221C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34715C211yesmaximal, characteristic
33#34484C211yesmaximal, characteristic, complemented
34#34367C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#532C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2214yes—
40#2863C2214yes—
41#2860C2214yes—
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2836C2214yes—
48#2829C2214yes—
49#2807C2214yes—
50#2800C2214yes—
51#2798C2214yes—
52#2797C2214yes—
53#2788C2214yes—
54#2788C2214yes—
55#2783C2214yes—
56#2781C2214yes—
57#2779C2214yes—
58#2777C2214yes—
59#2772C2214yes—
60#2772C2214yes—
61#2768C2214yes—
62#2766C2214yes—
63#2765C2214yes—
64#2762C2214yes—
65#2758C2214yes—
66#2756C2214yes—
67#2753C2214yes—
68#2752C2214yes—
69#2746C2214yes—
70#2743C2214yes—
71#2741C2214yes—
72#2738C2214yes—
73#2737C2214yes—
74#2737C2214yes—
75#2723C2214yes—
76#2706C2214yes—
77#2705C2214yes—
78#2700C2214yes—
79#2698C2214yes—
80#2687C2214yes—
81#2681C2214yes—
82#2666C2214yes—
83#2666C2214yes—
84#2663C2214yes—
85#2650C2214yes—
86#2647C2212yes—
87#2645C2214yes—
88#2644C2214yes—
89#2644C2212yes—
90#2628C2212yes—
91#2616C2212yes—
92#2601C2214yes—
93#2597C2214yes—
94#2596C2214yes—
95#2595C2214yes—
96#2593C2214yes—
97#2590C2214yes—
98#2588C2214yes—
99#2586C2214yes—
100#2585C2214yes—
101#2585C2214yes—
102#2584C2212yes—
103#2582C2211yescharacteristic
104#2581C2212yes—
105#2580C2212yes—
106#2577C2214yes—
107#2576C2214yes—
108#2575C2214yes—
109#2573C2214yes—
110#2573C2214yes—
111#2571C2211yescharacteristic
112#2570C2212yes—
113#2570C2212yes—
114#2567C2211yescharacteristic
115#2565C2212yes—
116#2563C2211yescharacteristic
117#2562C2212yes—
118#2560C2214yes—
119#2553C2214yes—
120#2552C2211yescharacteristic
121#2550C2212yes—
122#2538C2212yes—
123#2538C2211yescharacteristic
124#2536C2212yes—
125#2533C2212yes—
126#2532C2214yes—
127#2530C2214yes—
128#2528C2214yes—
129#2527C2212yes—
130#2525C2214yes—
131#2523C2212yes—
132#2516C2214yes—
133#2514C2211yescharacteristic
134#2514C2212yes—
135#2510C2214yes—
136#2510C2214yes—
137#2509C2212yes—
138#2509C2212yes—
139#2509C2212yes—
140#2509C2211yescharacteristic
141#2508C2212yes—
142#2508C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2499C2212yes—
146#2499C2211yescharacteristic
147#2498C2214yes—
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yes—
151#2496C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2496C2211yescharacteristic
155#2495C2212yes—
156#2495C2212yes—
157#2495C2212yes—
158#2495C2212yes—
159#2494C2212yes—
160#2494C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2493C2214yes—
164#2492C2211yescharacteristic
165#2490C2212yes—
166#2490C2212yes—
167#2489C2212yes—
168#2487C2212yes—
169#2486C2212yes—
170#2486C2212yes—
171#2485C2212yes—
172#2485C2211yescharacteristic
173#2485C2212yes—
174#2481C2214yes—
175#2481C2214yes—
176#2479C2214yes—
177#2477C2214yes—
178#2476C2212yes—
179#2474C2212yes—
180#2471C2214yes—
181#2470C2214yes—
182#2466C2212yes—
183#2465C2214yes—
184#2459C2212yes—
185#2456C2212yes—
186#2454C2212yes—
187#2453C2212yes—
188#2451C2211yescharacteristic
189#2449C2214yes—
190#2448C2212yes—
191#2445C2212yes—
192#2445C2211yescharacteristic
193#2442C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2440C2212yes—
199#2439C2211yescharacteristic
200#2439C2211yescharacteristic
201#2438C2214yes—
202#2431C2211yescharacteristic
203#2426C2211yescharacteristic
204#2423C2212yes—
205#2422C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2420C2212yes—
209#2420C2211yescharacteristic
210#2417C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2415C2211yescharacteristic
214#2414C2211yescharacteristic
215#2413C2214yes—
216#2407C2211yescharacteristic
217#2401C2212yes—
218#2398C2212yes—
219#2392C2212yes—
220#2388C2212yes—
221#2378C2214yes—
222#2377C2214yes—
223#2370C2212yes—
224#2370C2212yes—
225#2369C2211yescharacteristic
226#2367C2212yes—
227#2363C2212yes—
228#2363C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2362C2212yes—
232#2360C2212yes—
233#2357C2212yes—
234#2355C2212yes—
235#2354C2211yescharacteristic
236#2354C2211yescharacteristic
237#2354C2211yescharacteristic
238#2354C2212yes—
239#2354C2212yes—
240#2354C2212yes—
241#2354C2212yes—
242#2352C2212yes—
243#2352C2212yes—
244Q8×C4⋊C4C2211yescharacteristic
245Q8×C4⋊C4C2211yescharacteristic
246Q8×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2212yes—
250#2347C2212yes—
251#2347C2212yes—
252#2346C2214yes—
253#2346C2212yes—
254#2345C2212yes—
255#2344C2212yes—
256#2344C2214yes—
257#2341C2212yes—
258#2339C2212yes—
259#2337C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2328C2212yes—
263#2323C2214yes—
264#2323C2212yes—
265#2320C2212yes—
266#2320C2212yes—
267#2319C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2311C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2212yes—
276C4×#126C2214yes—
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284#2297C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2293C2214yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290C2×#389C2212yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#554—28no—
302#532—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#127C2311yescharacteristic
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#124C2312yes—
314C2×#124C2311yescharacteristic
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2314yes—
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C4×#41—28no—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2314yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2314yes—
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372#401C2312yes—
373#401C2314yes—
374#401C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#396C2312yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#393C2314yes—
466#393C2314yes—
467#393C2312yes—
468#393C2312yes—
469#393C2312yes—
470#392C2312yes—
471#392C2312yes—
472#392C2312yes—
473#392C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2314yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2312yes—
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#383C2312yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2312yes—
699#383C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#382C2314yes—
713#381C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—28no—
816C2×#41—44no—
817C2×#41—44no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—42no—
849#127—24no—
850#126—44no—
851#126—48no—
852#126—84no—
853#125—28no—
854#125—44no—
855#125—44no—
856#124—24no—
857#124—28no—
858#123—44no—
859#123—84no—
860#123—84no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—44no—
865C22⋊Q8—42no—
866C22⋊Q8—44no—
867C22⋊Q8—42no—
868C22⋊Q8—84no—
869C22⋊Q8—82no—
870#121—24no—
871#121—24no—
872#121—28no—
873#121—42no—
874C4×Q8—28no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—82no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—24no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4—42no—
893C4×D4—42no—
894C4×D4#4118yes—
895#117—24no—
896#117—28no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—42no—
901#117—44no—
902#117—42no—
903#117—44no—
904#117—84no—
905#117—82no—
906#117—84no—
907C2×C4⋊C4—28no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4—48no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C42—28no—
1033C2×C42—24no—
1034C2×C42—24no—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2411yescharacteristic
1093#95C2412yes—
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2511yescharacteristic
1151C24C2512yes—
1152C24C2511yescharacteristic
1153C24C2512yes—
1154#41—416no—
1155#41—816no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q82−1+414yes—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—24no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4C2×#4114yes—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—28no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—41no—
1231C22×C4—44no—
1232C22×C4—41no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4C2×#4118yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2514yes—
1255C22×C4C2514yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C4⋊C4—22no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4C2×#4114yes—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—22no—
1348C22⋊C4—24no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—44no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—44no—
1369C22⋊C4—41no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4C2×#4118yes—
1389C42—22no—
1390C42—22no—
1391C42—24no—
1392C42—22no—
1393C42—24no—
1394C42—22no—
1395C42—24no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—28no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42—42no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—41no—
1420C42—44no—
1421C42—44no—
1422C42—41no—
1423C42C2×#4114yes—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23C22×#4114yes—
1452C23C2611yescharacteristic
1453Q8—28no—
1454Q8—44no—
1455Q8—84no—
1456Q8—84no—
1457Q8—84no—
1458D4—28no—
1459D4—48no—
1460D4—44no—
1461D4—44no—
1462D4—84no—
1463D4—84no—
1464D4—84no—
1465D4—84no—
1466D4—84no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—216no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—44no—
1552C2×C4—48no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—48no—
1558C2×C4—44no—
1559C2×C4—82no—
1560C2×C4—88no—
1561C2×C4—88no—
1562C2×C4—164no—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4114yes—
1565C2×C4C22×#4112yes—
1566C2×C4C22×#4112yes—
1567C2×C4C2×2−1+414yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C2×C4#58512yes—
1572C2×C4#58512yes—
1573C22—24no—
1574C22—24no—
1575C22—24no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—41no—
1581C22—41no—
1582C22—42no—
1583C22—41no—
1584C22—41no—
1585C22—42no—
1586C22—41no—
1587C22—42no—
1588C22—41no—
1589C22—41no—
1590C22—42no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—42no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—42no—
1600C22—41no—
1601C22C23×#4111yescharacteristic
1602C22C22×2−1+411yescharacteristic
1603C22C2×#58511yescharacteristic
1604C22C2×#58511yescharacteristic
1605C22C2×#58511yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22H(7,𝔽2)11yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—24no—
1612C4—42no—
1613C4—42no—
1614C4—41no—
1615C4—44no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—41no—
1622C4—42no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—41no—
1629C4—44no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—44no—
1637C4#349514yes—
1638C4#352114yes—
1639C2—44no—
1640C2—81no—
1641C2—81no—
1642C2—82no—
1643C2#6276211yescharacteristic
1644C2C2×#352111yescharacteristic
1645C2C2×#349511yescharacteristic
1646C2#6293711yescharacteristic
1647C2#6295211yescharacteristic
1648C2#6300811yescharacteristic
1649C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34715C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59504C2semidirect
2. #59429C2semidirect
3. #59289C2semidirect
4. #59259C2semidirect
5. #59219C2semidirect
6. #50462C2semidirect
7. #50382C2semidirect
8. #46086C2semidirect
9. #45401C2semidirect
10. #45130C2semidirect
11. #45053C2semidirect
12. #44900C2semidirect
13. #42993C2semidirect
14. #42957C2semidirect
15. #42783C2semidirect
16. #42748C2semidirect
17. #39498C2semidirect
18. #39470C2semidirect
19. #38978C2semidirect
20. #38931C2semidirect
21. #38591C2semidirect
22. #38226C2semidirect
23. #37968C2semidirect
24. #36589C2semidirect
25. #36459C2semidirect
26. #36451C2semidirect
27. #36275C2semidirect
28. #36210C2semidirect
29. #35267C2semidirect
30. #35221C2semidirect
31. #34803C2semidirect
33. #34484C2semidirect
34. #34367C2semidirect
35. #34129C2semidirect

Maximal subgroups

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

subgroupindex
#595042
#594292
#592892
#592592
#592192
#504622
#503822
#460862
#454012
#451302
#450532
#449002
#429932
#429572
#427832
#427482
#394982
#394702
#389782
#389312
#385912
#382262
#379682
#365892
#364592
#364512
#362752
#362102
#352672
#352212
#348032
#347152
#344842
#343672
#341292