Finite Group Databasebeta

← #7986157

Subgroups — #7986157

Order 512.

4365 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59894C212yesmaximal, complemented
2#59639C211yesmaximal, characteristic, complemented
3#59256C212yesmaximal, complemented
4#59235C211yesmaximal, characteristic, complemented
5#59212C211yesmaximal, characteristic, complemented
6#50553C214yesmaximal, complemented
7#49511C214yesmaximal, complemented
8#45967C214yesmaximal, complemented
9#45397C212yesmaximal, complemented
10#45262C212yesmaximal, complemented
11#45167C212yesmaximal, complemented
12#45166C212yesmaximal, complemented
13#42906C212yesmaximal, complemented
14#42858C212yesmaximal, complemented
15#42692C212yesmaximal, complemented
16#42664C212yesmaximal, complemented
17#39754C211yesmaximal, characteristic, complemented
18#39727C211yesmaximal, characteristic, complemented
19#39194C211yesmaximal, characteristic, complemented
20#39156C211yesmaximal, characteristic, complemented
21#38479C214yesmaximal, complemented
22#38264C212yesmaximal, complemented
23#37953C212yesmaximal, complemented
24#36504C211yesmaximal, characteristic, complemented
25#36420C212yesmaximal, complemented
26#36418C212yesmaximal, complemented
27#36314C211yesmaximal, characteristic, complemented
28#36209C211yesmaximal, characteristic, complemented
29#35204C212yesmaximal, complemented
30#35163C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34720C211yesmaximal, characteristic, complemented
33#34481C211yesmaximal, characteristic, complemented
34#34373C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2864C2212yes—
42#2864C2214yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2850C2212yes—
47#2830C2214yes—
48#2828C2214yes—
49#2808C2214yes—
50#2803C2214yes—
51#2803C2214yes—
52#2803C2214yes—
53#2802C2214yes—
54#2801C2214yes—
55#2800C2214yes—
56#2800C2214yes—
57#2800C2214yes—
58#2798C2214yes—
59#2797C2214yes—
60#2795C2214yes—
61#2793C2214yes—
62#2784C2214yes—
63#2781C2214yes—
64#2778C2214yes—
65#2777C2214yes—
66#2775C2214yes—
67#2775C2214yes—
68#2774C2214yes—
69#2772C2214yes—
70#2770C2214yes—
71#2770C2214yes—
72#2761C2214yes—
73#2759C2214yes—
74#2756C2214yes—
75#2754C2214yes—
76#2753C2214yes—
77#2751C2214yes—
78#2744C2214yes—
79#2740C2214yes—
80#2725C2214yes—
81#2702C2214yes—
82#2660C2212yes—
83#2655C2214yes—
84#2654C2214yes—
85#2652C2214yes—
86#2651C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2644C2212yes—
90#2624C2212yes—
91#2620C2212yes—
92#2610C2214yes—
93#2609C2214yes—
94#2609C2214yes—
95#2597C2214yes—
96#2596C2214yes—
97#2596C2214yes—
98#2595C2214yes—
99#2595C2214yes—
100#2594C2214yes—
101#2594C2214yes—
102#2593C2214yes—
103#2592C2212yes—
104#2592C2212yes—
105#2590C2214yes—
106#2584C2212yes—
107#2582C2212yes—
108#2581C2212yes—
109#2578C2214yes—
110#2575C2214yes—
111#2571C2211yescharacteristic
112#2571C2212yes—
113#2570C2212yes—
114#2570C2214yes—
115#2568C2211yescharacteristic
116#2562C2212yes—
117#2552C2211yescharacteristic
118#2542C2211yescharacteristic
119#2540C2212yes—
120#2538C2211yescharacteristic
121#2538C2212yes—
122#2537C2211yescharacteristic
123#2536C2212yes—
124#2536C2212yes—
125#2536C2212yes—
126#2535C2212yes—
127#2533C2214yes—
128#2533C2214yes—
129#2532C2214yes—
130#2532C2212yes—
131#2531C2214yes—
132#2530C2214yes—
133#2530C2214yes—
134#2529C2214yes—
135#2529C2214yes—
136#2528C2214yes—
137#2528C2214yes—
138#2526C2212yes—
139#2520C2214yes—
140#2518C2212yes—
141#2518C2214yes—
142#2517C2214yes—
143#2516C2214yes—
144#2514C2214yes—
145#2513C2211yescharacteristic
146#2513C2214yes—
147#2513C2212yes—
148#2511C2212yes—
149#2511C2212yes—
150#2508C2212yes—
151#2508C2212yes—
152#2508C2212yes—
153#2508C2212yes—
154#2508C2211yescharacteristic
155#2504C2212yes—
156#2500C2212yes—
157#2500C2211yescharacteristic
158#2499C2212yes—
159#2499C2212yes—
160#2499C2214yes—
161#2499C2212yes—
162#2497C2212yes—
163#2497C2211yescharacteristic
164#2497C2212yes—
165#2495C2212yes—
166#2495C2212yes—
167#2495C2212yes—
168#2494C2212yes—
169#2494C2212yes—
170#2494C2212yes—
171#2494C2212yes—
172#2492C2212yes—
173#2491C2211yescharacteristic
174#2490C2212yes—
175#2490C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2485C2211yescharacteristic
183#2479C2214yes—
184#2477C2214yes—
185#2477C2212yes—
186#2475C2212yes—
187#2474C2214yes—
188#2467C2214yes—
189#2463C2212yes—
190#2460C2212yes—
191#2459C2212yes—
192#2453C2212yes—
193#2452C2211yescharacteristic
194#2446C2211yescharacteristic
195#2441C2212yes—
196#2439C2212yes—
197#2439C2211yescharacteristic
198#2439C2211yescharacteristic
199#2432C2211yescharacteristic
200#2429C2212yes—
201#2427C2211yescharacteristic
202#2426C2212yes—
203#2423C2212yes—
204#2421C2211yescharacteristic
205#2421C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2420C2212yes—
209#2417C2212yes—
210#2415C2212yes—
211#2415C2211yescharacteristic
212#2415C2212yes—
213#2414C2212yes—
214#2414C2211yescharacteristic
215#2407C2212yes—
216#2407C2211yescharacteristic
217#2398C2212yes—
218#2398C2212yes—
219#2392C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2378C2214yes—
223#2367C2212yes—
224#2365C2211yescharacteristic
225#2363C2212yes—
226#2363C2212yes—
227#2362C2212yes—
228#2362C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2360C2212yes—
232#2356C2212yes—
233#2356C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2355C2211yescharacteristic
238#2355C2212yes—
239#2354C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2212yes—
243#2354C2212yes—
244#2354C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2346C2212yes—
253#2346C2212yes—
254#2346C2214yes—
255#2346C2212yes—
256#2346C2214yes—
257#2344C2212yes—
258#2341C2212yes—
259#2336C2214yes—
260#2334C2214yes—
261#2331C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2327C2212yes—
265#2326C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2317C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#124C2211yescharacteristic
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2298C2214yes—
284#2298C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2293C2214yes—
289#2293C2212yes—
290#2290C2212yes—
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#556—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×#126C2314yes—
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#124C2312yes—
311C2×#124C2311yescharacteristic
312C2×#124C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C4×#41—28no—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2314yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C42C2312yes—
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370#401C2314yes—
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2312yes—
416#397C2312yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2312yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#395C2314yes—
440#395C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2312yes—
447#394C2314yes—
448#394C2314yes—
449#394C2312yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#393C2312yes—
463#393C2314yes—
464#393C2314yes—
465#393C2312yes—
466#393C2312yes—
467#393C2312yes—
468#392C2312yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2314yes—
499#390C2311yescharacteristic
500#390C2314yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
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#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
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#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2314yes—
694#384C2312yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2311yescharacteristic
699#383C2314yes—
700#383C2314yes—
701#383C2312yes—
702#383C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2314yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2311yescharacteristic
721#381C2314yes—
722#381C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C43C2311yescharacteristic
811C43C2314yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—42no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2414yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2414yes—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—42no—
844#126—216no—
845#125—28no—
846#125—44no—
847#125—44no—
848#124—28no—
849#124—44no—
850#124—42no—
851C22⋊Q8—24no—
852C22⋊Q8—28no—
853C22⋊Q8—24no—
854C22⋊Q8—28no—
855C22⋊Q8—44no—
856C22⋊Q8—42no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—44no—
863#121—42no—
864#121—42no—
865#121—44no—
866#121—42no—
867C4×Q8—24no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8#4118yes—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—44no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4—42no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—42no—
890#117—24no—
891#117—28no—
892#117—28no—
893#117—28no—
894#117—44no—
895#117—48no—
896#117—44no—
897#117—48no—
898#117—44no—
899#117—44no—
900#117—42no—
901#117—42no—
902#117—44no—
903C2×C4⋊C4—44no—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C42—24no—
1029C2×C42—28no—
1030C2×C42—24no—
1031C2×C42C2414yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148C24C2512yes—
1149C24C2511yescharacteristic
1150#41—416no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8C2×#4114yes—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—41no—
1221C22×C4—44no—
1222C22×C4—41no—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2514yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4C2×#4114yes—
1322C4⋊C4C2×#4118yes—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—22no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—41no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C42—22no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—28no—
1388C42—28no—
1389C42—22no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—22no—
1394C42—24no—
1395C42—24no—
1396C42—22no—
1397C42—22no—
1398C42—44no—
1399C42—42no—
1400C42—41no—
1401C42—44no—
1402C42—44no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—42no—
1407C42—41no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42C2×#4114yes—
1414C42C2×#4118yes—
1415C23—22no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—22no—
1426C23—21no—
1427C23—22no—
1428C23—22no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—22no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23C2611yescharacteristic
1444Q8—28no—
1445Q8—44no—
1446Q8—48no—
1447Q8—84no—
1448Q8—84no—
1449D4—48no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—84no—
1454D4—84no—
1455D4—84no—
1456D4—164no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—24no—
1512C2×C4—21no—
1513C2×C4—22no—
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—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—82no—
1550C2×C4—88no—
1551C2×C4C22×#4114yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4114yes—
1554C2×C4C22×#4112yes—
1555C2×C4C22×#4112yes—
1556C2×C4#58512yes—
1557C2×C4#58512yes—
1558C2×C4#58512yes—
1559C2×C4#58512yes—
1560C2×C4#58512yes—
1561C22—42no—
1562C22—41no—
1563C22—41no—
1564C22—42no—
1565C22—42no—
1566C22—41no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—42no—
1571C22—41no—
1572C22—42no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—41no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—41no—
1588C22—41no—
1589C22C23×#4111yescharacteristic
1590C22C2×#58511yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C222−1+611yescharacteristic
1596C4—22no—
1597C4—22no—
1598C4—24no—
1599C4—24no—
1600C4—41no—
1601C4—42no—
1602C4—42no—
1603C4—44no—
1604C4—42no—
1605C4—41no—
1606C4—44no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—42no—
1611C4—41no—
1612C4—41no—
1613C4—42no—
1614C4—41no—
1615C4—42no—
1616C4—41no—
1617C4—44no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—44no—
1625C4#349314yes—
1626C4#352414yes—
1627C2—81no—
1628C2—82no—
1629C2—81no—
1630C2—82no—
1631C2#6276211yescharacteristic
1632C2C2×#349311yescharacteristic
1633C2C2×#352411yescharacteristic
1634C2#6293611yescharacteristic
1635C2#6296811yescharacteristic
1636C2#6299311yescharacteristic
1637C2#6303111yescharacteristic
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. #59894C2semidirect
2. #59639C2semidirect
3. #59256C2semidirect
4. #59235C2semidirect
5. #59212C2semidirect
6. #50553C2semidirect
7. #49511C2semidirect
8. #45967C2semidirect
9. #45397C2semidirect
10. #45262C2semidirect
11. #45167C2semidirect
12. #45166C2semidirect
13. #42906C2semidirect
14. #42858C2semidirect
15. #42692C2semidirect
16. #42664C2semidirect
17. #39754C2semidirect
18. #39727C2semidirect
19. #39194C2semidirect
20. #39156C2semidirect
21. #38479C2semidirect
22. #38264C2semidirect
23. #37953C2semidirect
24. #36504C2semidirect
25. #36420C2semidirect
26. #36418C2semidirect
27. #36314C2semidirect
28. #36209C2semidirect
29. #35204C2semidirect
30. #35163C2semidirect
31. #34800C2semidirect
32. #34720C2semidirect
33. #34481C2semidirect
34. #34373C2semidirect
35. #34129C2semidirect

Maximal subgroups

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

subgroupindex
#598942
#596392
#592562
#592352
#592122
#505532
#495112
#459672
#453972
#452622
#451672
#451662
#429062
#428582
#426922
#426642
#397542
#397272
#391942
#391562
#384792
#382642
#379532
#365042
#364202
#364182
#363142
#362092
#352042
#351632
#348002
#347202
#344812
#343732
#341292