Finite Group Databasebeta

← #7986154

Subgroups — #7986154

Order 512.

4309 conjugacy classes of subgroups.

The subgroup lattice has 1601 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59766C212yesmaximal, complemented
2#59681C211yesmaximal, characteristic, complemented
3#59296C212yesmaximal, complemented
4#59262C211yesmaximal, characteristic, complemented
5#59245C211yesmaximal, characteristic, complemented
6#49423C214yesmaximal, complemented
7#49313C214yesmaximal, complemented
8#45573C214yesmaximal, complemented
9#45396C212yesmaximal, complemented
10#45348C212yesmaximal, complemented
11#45183C212yesmaximal, complemented
12#45127C212yesmaximal, complemented
13#42767C212yesmaximal
14#42715C212yesmaximal, complemented
15#42686C212yesmaximal, complemented
16#42655C212yesmaximal, complemented
17#39762C211yesmaximal, characteristic, complemented
18#39734C211yesmaximal, characteristic, complemented
19#38967C211yesmaximal, characteristic, complemented
20#38923C211yesmaximal, characteristic, complemented
21#38417C214yesmaximal, complemented
22#38287C212yesmaximal, complemented
23#37985C212yesmaximal, complemented
24#36405C211yesmaximal, characteristic, complemented
25#36288C211yesmaximal, characteristic, complemented
26#36209C211yesmaximal, characteristic, complemented
27#36178C212yesmaximal, complemented
28#36175C212yesmaximal, complemented
29#35203C212yesmaximal, complemented
30#35159C212yesmaximal, complemented
31#34793C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic
33#34481C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35#34127C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2862C2212yes—
40#2859C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2855C2212yes—
44#2853C2214yes—
45#2851C2214yes—
46#2851C2214yes—
47#2827C2214yes—
48#2824C2214yes—
49#2809C2214yes—
50#2802C2214yes—
51#2801C2214yes—
52#2798C2214yes—
53#2795C2214yes—
54#2794C2214yes—
55#2788C2214yes—
56#2788C2214yes—
57#2783C2214yes—
58#2779C2214yes—
59#2777C2214yes—
60#2777C2214yes—
61#2776C2214yes—
62#2776C2214yes—
63#2776C2214yes—
64#2776C2214yes—
65#2775C2214yes—
66#2775C2214yes—
67#2771C2214yes—
68#2769C2214yes—
69#2769C2214yes—
70#2766C2214yes—
71#2765C2214yes—
72#2764C2214yes—
73#2758C2214yes—
74#2756C2214yes—
75#2751C2214yes—
76#2747C2214yes—
77#2742C2214yes—
78#2741C2214yes—
79#2741C2214yes—
80#2722C2214yes—
81#2695C2214yes—
82#2653C2214yes—
83#2652C2214yes—
84#2649C2214yes—
85#2649C2214yes—
86#2646C2214yes—
87#2646C2214yes—
88#2642C2212yes—
89#2628C2212yes—
90#2625C2212yes—
91#2621C2212yes—
92#2612C2214yes—
93#2612C2214yes—
94#2611C2214yes—
95#2606C2214yes—
96#2596C2214yes—
97#2594C2214yes—
98#2590C2214yes—
99#2588C2214yes—
100#2582C2211yescharacteristic
101#2582C2211yescharacteristic
102#2575C2214yes—
103#2574C2214yes—
104#2571C2211yescharacteristic
105#2570C2212yes—
106#2570C2212yes—
107#2568C2212yes—
108#2563C2212yes—
109#2558C2214yes—
110#2551C2211yescharacteristic
111#2550C2212yes—
112#2547C2212yes—
113#2546C2211yescharacteristic
114#2546C2211yescharacteristic
115#2546C2212yes—
116#2536C2212yes—
117#2533C2214yes—
118#2533C2214yes—
119#2532C2214yes—
120#2531C2214yes—
121#2530C2212yes—
122#2530C2214yes—
123#2529C2214yes—
124#2528C2214yes—
125#2528C2212yes—
126#2527C2214yes—
127#2527C2214yes—
128#2525C2214yes—
129#2525C2214yes—
130#2524C2214yes—
131#2523C2214yes—
132#2523C2214yes—
133#2517C2212yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2514C2212yes—
138#2514C2212yes—
139#2514C2214yes—
140#2511C2212yes—
141#2511C2211yescharacteristic
142#2511C2212yes—
143#2510C2214yes—
144#2509C2214yes—
145#2509C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2509C2212yes—
149#2509C2212yes—
150#2508C2214yes—
151#2508C2212yes—
152#2508C2212yes—
153#2508C2212yes—
154#2507C2212yes—
155#2507C2214yes—
156#2507C2212yes—
157#2506C2214yes—
158#2506C2211yescharacteristic
159#2506C2212yes—
160#2506C2212yes—
161#2505C2214yes—
162#2499C2211yescharacteristic
163#2497C2212yes—
164#2495C2212yes—
165#2495C2212yes—
166#2495C2214yes—
167#2495C2212yes—
168#2495C2212yes—
169#2495C2212yes—
170#2494C2212yes—
171#2494C2214yes—
172#2494C2211yescharacteristic
173#2492C2212yes—
174#2492C2212yes—
175#2489C2211yescharacteristic
176#2489C2212yes—
177#2489C2212yes—
178#2485C2212yes—
179#2485C2212yes—
180#2485C2212yes—
181#2485C2212yes—
182#2485C2211yescharacteristic
183#2478C2214yes—
184#2478C2212yes—
185#2470C2212yes—
186#2468C2214yes—
187#2466C2212yes—
188#2460C2212yes—
189#2455C2212yes—
190#2454C2212yes—
191#2453C2212yes—
192#2453C2211yescharacteristic
193#2447C2212yes—
194#2447C2211yescharacteristic
195#2446C2212yes—
196#2446C2212yes—
197#2442C2212yes—
198#2441C2211yescharacteristic
199#2441C2211yescharacteristic
200#2439C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2432C2212yes—
204#2432C2211yescharacteristic
205#2429C2212yes—
206#2429C2212yes—
207#2429C2211yescharacteristic
208#2427C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2422C2211yescharacteristic
212#2417C2212yes—
213#2415C2211yescharacteristic
214#2415C2212yes—
215#2415C2211yescharacteristic
216#2407C2211yescharacteristic
217#2401C2212yes—
218#2395C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2376C2214yes—
223#2371C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2369C2212yes—
227#2369C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2365C2212yes—
231#2365C2212yes—
232#2365C2211yescharacteristic
233#2362C2212yes—
234#2362C2212yes—
235#2360C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2356C2212yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2347C2212yes—
254#2346C2212yes—
255#2346C2212yes—
256#2346C2212yes—
257#2343C2214yes—
258#2339C2212yes—
259#2334C2214yes—
260#2334C2214yes—
261#2330C2212yes—
262#2326C2212yes—
263#2324C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2320C2212yes—
268#2317C2212yes—
269#2317C2212yes—
270#2316C2212yes—
271#2316C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282#2298C2212yes—
283#2296C2212yes—
284#2296C2212yes—
285#2295C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2293C2211yescharacteristic
289#2290C2214yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2214yes—
294#2283C2212yes—
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300#556—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307#529—28no—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C4×#41—28no—
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C42C2312yes—
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2314yes—
365#401C2314yes—
366#401C2314yes—
367#401C2312yes—
368#401C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#395C2314yes—
450#395C2314yes—
451#394C2312yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#392C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2311yescharacteristic
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2314yes—
490#391C2314yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2314yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2314yes—
689#384C2312yes—
690#384C2311yescharacteristic
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C2×#41—24no—
814C2×#41—42no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C4⋊Q8—24no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—42no—
842#126—28no—
843#126—216no—
844#125—24no—
845#125—24no—
846#125—44no—
847#125—48no—
848#125—44no—
849#124—24no—
850#124—28no—
851#123—28no—
852#123—44no—
853C22⋊Q8—28no—
854C22⋊Q8—24no—
855C22⋊Q8—24no—
856C22⋊Q8—42no—
857C22⋊Q8—44no—
858C22⋊Q8—42no—
859C22⋊Q8—44no—
860C22⋊Q8—42no—
861#121—24no—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×D4—24no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—42no—
878C4×D4—42no—
879C4×D4—42no—
880C4×D4#4118yes—
881#117—28no—
882#117—28no—
883#117—24no—
884#117—24no—
885#117—28no—
886#117—44no—
887#117—44no—
888#117—44no—
889#117—42no—
890#117—44no—
891#117—44no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C42—28no—
1013C2×C42—24no—
1014C2×C42—24no—
1015C2×C42—48no—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2411yescharacteristic
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2511yescharacteristic
1142C24C2511yescharacteristic
1143C24C2512yes—
1144#41—416no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×D4—24no—
1161C2×D4—24no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4C2×#4114yes—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—28no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—41no—
1202C22×C4—44no—
1203C22×C4—41no—
1204C22×C4C2×#4118yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4C2×#4114yes—
1315C4⋊C42−1+414yes—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—22no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—44no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—44no—
1346C22⋊C4—41no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4C2×#4118yes—
1355C42—22no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—28no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—28no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—24no—
1377C42—22no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42—41no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—42no—
1386C42—41no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42C2×#4114yes—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23C22×#4114yes—
1413C23C2611yescharacteristic
1414Q8—44no—
1415Q8—48no—
1416Q8—44no—
1417Q8—44no—
1418Q8—164no—
1419D4—28no—
1420D4—48no—
1421D4—44no—
1422D4—84no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—216no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—48no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—82no—
1518C2×C4—88no—
1519C2×C4—88no—
1520C2×C4C22×#4114yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C22×#4112yes—
1524C2×C4C2×2−1+414yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4#58512yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22C23×#4111yescharacteristic
1552C22C22×2−1+411yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C222−1+611yescharacteristic
1558C4—22no—
1559C4—22no—
1560C4—24no—
1561C4—24no—
1562C4—42no—
1563C4—42no—
1564C4—41no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—42no—
1570C4—41no—
1571C4—41no—
1572C4—44no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—42no—
1577C4—44no—
1578C4—41no—
1579C4—41no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—44no—
1586C4—42no—
1587C4—42no—
1588C4#349314yes—
1589C4#351514yes—
1590C2—44no—
1591C2—81no—
1592C2—81no—
1593C2#6276211yescharacteristic
1594C2C2×#349311yescharacteristic
1595C2C2×#351511yescharacteristic
1596C2#6295311yescharacteristic
1597C2#6296811yescharacteristic
1598C2#6299311yescharacteristic
1599C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59766C2semidirect
2. #59681C2semidirect
3. #59296C2semidirect
4. #59262C2semidirect
5. #59245C2semidirect
6. #49423C2semidirect
7. #49313C2semidirect
8. #45573C2semidirect
9. #45396C2semidirect
10. #45348C2semidirect
11. #45183C2semidirect
12. #45127C2semidirect
14. #42715C2semidirect
15. #42686C2semidirect
16. #42655C2semidirect
17. #39762C2semidirect
18. #39734C2semidirect
19. #38967C2semidirect
20. #38923C2semidirect
21. #38417C2semidirect
22. #38287C2semidirect
23. #37985C2semidirect
24. #36405C2semidirect
25. #36288C2semidirect
26. #36209C2semidirect
27. #36178C2semidirect
28. #36175C2semidirect
29. #35203C2semidirect
30. #35159C2semidirect
31. #34793C2semidirect
33. #34481C2semidirect
34. #34383C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#597662
#596812
#592962
#592622
#592452
#494232
#493132
#455732
#453962
#453482
#451832
#451272
#427672
#427152
#426862
#426552
#397622
#397342
#389672
#389232
#384172
#382872
#379852
#364052
#362882
#362092
#361782
#361752
#352032
#351592
#347932
#347242
#344812
#343832
#341272