Finite Group Databasebeta

← #7987075

Subgroups — #7987075

Order 512.

4286 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59496C212yesmaximal, complemented
2#59464C211yesmaximal, characteristic, complemented
3#59257C211yesmaximal, characteristic, complemented
4#59240C212yesmaximal, complemented
5#59230C211yesmaximal, characteristic, complemented
6#49449C214yesmaximal, complemented
7#49065C214yesmaximal, complemented
8#46060C212yesmaximal, complemented
9#45664C212yesmaximal, complemented
10#45231C212yesmaximal, complemented
11#45096C212yesmaximal
12#43693C214yesmaximal, complemented
13#42765C212yesmaximal, complemented
14#42655C212yesmaximal, complemented
15#41813C214yesmaximal, complemented
16#40216C212yesmaximal, complemented
17#39931C212yesmaximal, complemented
18#39350C211yesmaximal, characteristic, complemented
19#39250C212yesmaximal, complemented
20#39146C211yesmaximal, characteristic, complemented
21#39035C212yesmaximal, complemented
22#38265C212yesmaximal, complemented
23#36497C211yesmaximal, characteristic, complemented
24#36450C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36177C211yesmaximal, characteristic, complemented
28#36175C212yesmaximal, complemented
29#35192C211yesmaximal, characteristic, complemented
30#35181C211yesmaximal, characteristic, complemented
31#35026C212yesmaximal, complemented
32#34945C211yesmaximal, characteristic, complemented
33#34898C211yesmaximal, characteristic, complemented
34#34428C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#553C2211yescharacteristic
37C2×#542C2212yes—
38#2864C2212yes—
39#2864C2212yes—
40#2863C2212yes—
41#2862C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2833C2214yes—
50#2827C2214yes—
51#2809C2214yes—
52#2798C2214yes—
53#2794C2214yes—
54#2786C2214yes—
55#2784C2214yes—
56#2777C2214yes—
57#2776C2214yes—
58#2774C2214yes—
59#2770C2214yes—
60#2766C2214yes—
61#2766C2214yes—
62#2764C2214yes—
63#2764C2214yes—
64#2762C2214yes—
65#2758C2214yes—
66#2758C2214yes—
67#2755C2214yes—
68#2754C2214yes—
69#2750C2214yes—
70#2747C2214yes—
71#2747C2214yes—
72#2747C2214yes—
73#2746C2214yes—
74#2745C2214yes—
75#2745C2214yes—
76#2739C2214yes—
77#2737C2214yes—
78#2718C2214yes—
79#2717C2214yes—
80#2701C2214yes—
81#2698C2214yes—
82#2698C2214yes—
83#2686C2214yes—
84#2665C2214yes—
85#2655C2214yes—
86#2655C2214yes—
87#2653C2214yes—
88#2653C2214yes—
89#2652C2214yes—
90#2646C2214yes—
91#2645C2212yes—
92#2625C2212yes—
93#2605C2214yes—
94#2604C2214yes—
95#2588C2214yes—
96#2585C2214yes—
97#2577C2212yes—
98#2577C2214yes—
99#2575C2212yes—
100#2574C2214yes—
101#2573C2214yes—
102#2573C2214yes—
103#2573C2214yes—
104#2571C2211yescharacteristic
105#2571C2211yescharacteristic
106#2571C2212yes—
107#2571C2211yescharacteristic
108#2570C2212yes—
109#2570C2211yescharacteristic
110#2570C2212yes—
111#2570C2214yes—
112#2570C2212yes—
113#2568C2212yes—
114#2568C2211yescharacteristic
115#2565C2211yescharacteristic
116#2563C2212yes—
117#2563C2212yes—
118#2562C2212yes—
119#2562C2211yescharacteristic
120#2562C2212yes—
121#2552C2212yes—
122#2552C2211yescharacteristic
123#2552C2211yescharacteristic
124#2551C2211yescharacteristic
125#2551C2211yescharacteristic
126#2550C2212yes—
127#2550C2212yes—
128#2547C2212yes—
129#2547C2211yescharacteristic
130#2538C2211yescharacteristic
131#2536C2211yescharacteristic
132#2533C2214yes—
133#2529C2214yes—
134#2528C2214yes—
135#2528C2214yes—
136#2527C2214yes—
137#2527C2214yes—
138#2527C2214yes—
139#2525C2214yes—
140#2524C2214yes—
141#2524C2212yes—
142#2523C2214yes—
143#2523C2214yes—
144#2520C2214yes—
145#2514C2214yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2212yes—
150#2514C2212yes—
151#2511C2214yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2508C2212yes—
158#2508C2212yes—
159#2507C2212yes—
160#2505C2214yes—
161#2503C2212yes—
162#2503C2212yes—
163#2499C2212yes—
164#2496C2212yes—
165#2496C2214yes—
166#2496C2211yescharacteristic
167#2495C2212yes—
168#2495C2211yescharacteristic
169#2495C2212yes—
170#2495C2212yes—
171#2494C2212yes—
172#2494C2212yes—
173#2494C2212yes—
174#2494C2212yes—
175#2494C2212yes—
176#2493C2214yes—
177#2493C2214yes—
178#2493C2214yes—
179#2492C2212yes—
180#2489C2212yes—
181#2488C2214yes—
182#2487C2212yes—
183#2486C2212yes—
184#2485C2212yes—
185#2481C2214yes—
186#2473C2214yes—
187#2468C2212yes—
188#2462C2214yes—
189#2453C2212yes—
190#2453C2212yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2212yes—
194#2447C2214yes—
195#2447C2212yes—
196#2447C2212yes—
197#2442C2212yes—
198#2442C2212yes—
199#2442C2212yes—
200#2440C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2439C2212yes—
206#2427C2212yes—
207#2423C2211yescharacteristic
208#2423C2212yes—
209#2421C2211yescharacteristic
210#2421C2212yes—
211#2421C2212yes—
212#2420C2212yes—
213#2419C2214yes—
214#2417C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2402C2212yes—
218#2401C2214yes—
219#2395C2212yes—
220#2379C2214yes—
221#2378C2214yes—
222#2374C2212yes—
223#2373C2212yes—
224#2370C2211yescharacteristic
225#2370C2212yes—
226#2370C2212yes—
227#2369C2212yes—
228#2367C2214yes—
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2212yes—
232#2364C2212yes—
233#2363C2212yes—
234#2363C2211yescharacteristic
235#2362C2212yes—
236#2362C2212yes—
237#2361C2211yescharacteristic
238#2360C2212yes—
239#2360C2214yes—
240#2357C2211yescharacteristic
241#2357C2212yes—
242#2356C2214yes—
243#2356C2212yes—
244#2355C2212yes—
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247#2353C2212yes—
248#2352C2212yes—
249#2352C2211yescharacteristic
250#2351C2212yes—
251#2349C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2212yes—
255#2347C2212yes—
256#2347C2211yescharacteristic
257#2345C2212yes—
258#2345C2211yescharacteristic
259#2335C2214yes—
260#2334C2214yes—
261#2334C2214yes—
262#2331C2212yes—
263#2331C2212yes—
264#2326C2212yes—
265#2322C2214yes—
266#2317C2212yes—
267#2317C2212yes—
268#2313C2214yes—
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×#124C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2212yes—
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2295C2212yes—
286C2×#389C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#553—28no—
300#542—216no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2312yes—
315C2×#124C2314yes—
316C2×#123C2314yes—
317C2×#123C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×#121C2311yescharacteristic
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2314yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2312yes—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×#117C2312yes—
347C2×#117C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2314yes—
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2312yes—
359C22×C42C2312yes—
360#401C2314yes—
361#401C2314yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2312yes—
399#398C2312yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#394C2314yes—
445#394C2312yes—
446#394C2314yes—
447#394C2312yes—
448#394C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#391C2312yes—
455#391C2314yes—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2314yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2312yes—
480#390C2311yescharacteristic
481#390C2314yes—
482#390C2312yes—
483#390C2311yescharacteristic
484#390C2312yes—
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2314yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2314yes—
542#388C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2312yes—
547#388C2312yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2312yes—
632#386C2314yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#384C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2314yes—
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#383C2312yes—
664#383C2312yes—
665#383C2314yes—
666#383C2314yes—
667#383C2314yes—
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#382C2314yes—
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2312yes—
698#381C2314yes—
699#381C2312yes—
700#381C2314yes—
701#380C2311yescharacteristic
702#380C2311yescharacteristic
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2311yescharacteristic
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2312yes—
806#376C2314yes—
807C2×#95C2314yes—
808C2×#95C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2414yes—
815C22×Q8C2414yes—
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838#126—216no—
839#126—28no—
840#126—44no—
841#125—24no—
842#125—44no—
843#125—44no—
844#125—42no—
845#125—44no—
846#124—28no—
847#124—216no—
848#123—216no—
849#123—28no—
850C22⋊Q8—28no—
851C22⋊Q8—216no—
852C22⋊Q8—42no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856#121—24no—
857#121—28no—
858#121#4118yes—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—48no—
862C4×Q8—42no—
863C4×Q8—44no—
864C4×Q8—42no—
865C4×Q8—44no—
866C4×D4—28no—
867C4×D4—28no—
868C4×D4—24no—
869C4×D4—24no—
870C4×D4—24no—
871C4×D4—42no—
872C4×D4—42no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—42no—
876C4×D4—44no—
877C4×D4—44no—
878#117—28no—
879#117—24no—
880#117—42no—
881#117—44no—
882#117—44no—
883C2×C4⋊C4—24no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—48no—
887C2×C4⋊C4—42no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C42—24no—
1000C2×C42—24no—
1001C2×C42—44no—
1002C2×C42—44no—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2414yes—
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134C24C2511yescharacteristic
1135C24C2512yes—
1136C24C2511yescharacteristic
1137C2×Q8—24no—
1138C2×Q8—28no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×D4—22no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4C2×#4114yes—
1160C2×D4C2×#4118yes—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—28no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4C2×#4114yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4C2×#4114yes—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—22no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—24no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4C2×#4118yes—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—22no—
1347C42—28no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—24no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—42no—
1368C42—41no—
1369C42—42no—
1370C42—42no—
1371C42—44no—
1372C42—44no—
1373C42—42no—
1374C42—42no—
1375C42—44no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42—42no—
1380C42—44no—
1381C422−1+414yes—
1382C23—22no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—21no—
1388C23—22no—
1389C23—21no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23C22×#4112yes—
1402C23C22×#4114yes—
1403C23C2611yescharacteristic
1404Q8—48no—
1405Q8—44no—
1406Q8—88no—
1407Q8—164no—
1408D4—28no—
1409D4—48no—
1410D4—44no—
1411D4—84no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—28no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—48no—
1502C2×C4—44no—
1503C2×C4—84no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—84no—
1507C2×C4—84no—
1508C2×C4—88no—
1509C2×C4—84no—
1510C2×C4—164no—
1511C2×C4C22×#4114yes—
1512C2×C4C22×#4112yes—
1513C2×C4C22×#4112yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4C2×2−1+412yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4#58512yes—
1518C2×C4#58512yes—
1519C2×C4#58512yes—
1520C2×C4#58512yes—
1521C22—22no—
1522C22—24no—
1523C22—22no—
1524C22—24no—
1525C22—24no—
1526C22—22no—
1527C22—42no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22C23×#4111yescharacteristic
1543C22C22×2−1+411yescharacteristic
1544C22C2×#58511yescharacteristic
1545C22C2×#58511yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C222−1+611yescharacteristic
1549C4—22no—
1550C4—22no—
1551C4—24no—
1552C4—22no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—41no—
1567C4—44no—
1568C4—42no—
1569C4—44no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—44no—
1577C4—42no—
1578C4—42no—
1579C4#351514yes—
1580C4#356514yes—
1581C2—42no—
1582C2—44no—
1583C2—81no—
1584C2C2×#356511yescharacteristic
1585C2C2×#351511yescharacteristic
1586C2#6278111yescharacteristic
1587C2#6295911yescharacteristic
1588C2#6296811yescharacteristic
1589C2#6299511yescharacteristic
1590C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59496C2semidirect
2. #59464C2semidirect
3. #59257C2semidirect
4. #59240C2semidirect
5. #59230C2semidirect
6. #49449C2semidirect
7. #49065C2semidirect
8. #46060C2semidirect
9. #45664C2semidirect
10. #45231C2semidirect
12. #43693C2semidirect
13. #42765C2semidirect
14. #42655C2semidirect
15. #41813C2semidirect
16. #40216C2semidirect
17. #39931C2semidirect
18. #39350C2semidirect
19. #39250C2semidirect
20. #39146C2semidirect
21. #39035C2semidirect
22. #38265C2semidirect
23. #36497C2semidirect
24. #36450C2semidirect
25. #36290C2semidirect
26. #36210C2semidirect
27. #36177C2semidirect
28. #36175C2semidirect
29. #35192C2semidirect
30. #35181C2semidirect
31. #35026C2semidirect
32. #34945C2semidirect
33. #34898C2semidirect
34. #34428C2semidirect

Maximal subgroups

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

subgroupindex
#594962
#594642
#592572
#592402
#592302
#494492
#490652
#460602
#456642
#452312
#450962
#436932
#427652
#426552
#418132
#402162
#399312
#393502
#392502
#391462
#390352
#382652
#364972
#364502
#362902
#362102
#361772
#361752
#351922
#351812
#350262
#349452
#348982
#344282
C4×#5532