Finite Group Databasebeta

← #7987594

Subgroups — #7987594

Order 512.

4404 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59507C212yesmaximal, complemented
3#59321C211yesmaximal, characteristic, complemented
4#59274C212yesmaximal, complemented
5#59249C211yesmaximal, characteristic, complemented
6#49288C214yesmaximal, complemented
7#49176C214yesmaximal, complemented
8#46198C214yesmaximal, complemented
9#45327C212yesmaximal, complemented
10#45230C212yesmaximal, complemented
11#44992C212yesmaximal
12#44977C212yesmaximal, complemented
13#42936C212yesmaximal, complemented
14#42924C212yesmaximal, complemented
15#42780C212yesmaximal, complemented
16#42743C212yesmaximal, complemented
17#38976C211yesmaximal, characteristic, complemented
18#38965C211yesmaximal, characteristic, complemented
19#38933C211yesmaximal, characteristic, complemented
20#38911C211yesmaximal, characteristic, complemented
21#38588C214yesmaximal, complemented
22#38224C212yesmaximal, complemented
23#37982C212yesmaximal, complemented
24#36554C212yesmaximal, complemented
25#36451C212yesmaximal, complemented
26#36450C211yesmaximal, characteristic, complemented
27#36274C211yesmaximal, characteristic, complemented
28#36189C211yesmaximal, characteristic, complemented
29#35313C212yesmaximal, complemented
30#35221C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic
33#34487C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2214yes—
40#2863C2212yes—
41#2863C2214yes—
42#2863C2214yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2838C2214yes—
48#2831C2214yes—
49#2805C2214yes—
50#2798C2214yes—
51#2791C2214yes—
52#2787C2214yes—
53#2786C2214yes—
54#2779C2214yes—
55#2768C2214yes—
56#2767C2214yes—
57#2767C2214yes—
58#2766C2214yes—
59#2766C2214yes—
60#2765C2214yes—
61#2763C2214yes—
62#2761C2214yes—
63#2757C2214yes—
64#2755C2214yes—
65#2754C2214yes—
66#2750C2214yes—
67#2749C2214yes—
68#2747C2214yes—
69#2744C2214yes—
70#2744C2214yes—
71#2740C2214yes—
72#2739C2214yes—
73#2738C2214yes—
74#2725C2214yes—
75#2723C2214yes—
76#2719C2214yes—
77#2719C2214yes—
78#2704C2214yes—
79#2690C2214yes—
80#2689C2214yes—
81#2687C2214yes—
82#2666C2214yes—
83#2666C2214yes—
84#2664C2214yes—
85#2653C2214yes—
86#2647C2212yes—
87#2645C2214yes—
88#2645C2212yes—
89#2645C2214yes—
90#2629C2212yes—
91#2625C2212yes—
92#2590C2214yes—
93#2590C2214yes—
94#2589C2214yes—
95#2588C2214yes—
96#2586C2214yes—
97#2585C2214yes—
98#2585C2214yes—
99#2584C2212yes—
100#2582C2211yescharacteristic
101#2582C2211yescharacteristic
102#2581C2212yes—
103#2581C2212yes—
104#2577C2214yes—
105#2576C2214yes—
106#2575C2214yes—
107#2575C2214yes—
108#2574C2214yes—
109#2573C2214yes—
110#2571C2212yes—
111#2570C2212yes—
112#2568C2211yescharacteristic
113#2568C2211yescharacteristic
114#2567C2212yes—
115#2565C2212yes—
116#2565C2212yes—
117#2564C2214yes—
118#2562C2214yes—
119#2553C2214yes—
120#2552C2211yescharacteristic
121#2552C2211yescharacteristic
122#2552C2212yes—
123#2550C2212yes—
124#2538C2212yes—
125#2533C2212yes—
126#2530C2214yes—
127#2528C2214yes—
128#2528C2214yes—
129#2527C2212yes—
130#2523C2212yes—
131#2522C2214yes—
132#2520C2214yes—
133#2516C2214yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2514C2211yescharacteristic
138#2511C2212yes—
139#2511C2212yes—
140#2511C2212yes—
141#2511C2212yes—
142#2511C2212yes—
143#2511C2212yes—
144#2509C2211yescharacteristic
145#2509C2212yes—
146#2509C2214yes—
147#2508C2212yes—
148#2507C2212yes—
149#2507C2212yes—
150#2506C2212yes—
151#2506C2212yes—
152#2506C2212yes—
153#2505C2214yes—
154#2502C2212yes—
155#2499C2211yescharacteristic
156#2499C2212yes—
157#2497C2212yes—
158#2496C2212yes—
159#2496C2211yescharacteristic
160#2496C2212yes—
161#2494C2212yes—
162#2494C2212yes—
163#2493C2214yes—
164#2493C2214yes—
165#2493C2214yes—
166#2493C2214yes—
167#2492C2211yescharacteristic
168#2492C2212yes—
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2487C2212yes—
173#2485C2211yescharacteristic
174#2478C2214yes—
175#2478C2212yes—
176#2475C2214yes—
177#2475C2214yes—
178#2473C2214yes—
179#2470C2212yes—
180#2467C2214yes—
181#2466C2212yes—
182#2466C2212yes—
183#2455C2212yes—
184#2454C2212yes—
185#2453C2211yescharacteristic
186#2451C2212yes—
187#2450C2214yes—
188#2447C2211yescharacteristic
189#2447C2212yes—
190#2446C2212yes—
191#2442C2212yes—
192#2442C2212yes—
193#2441C2212yes—
194#2441C2211yescharacteristic
195#2441C2212yes—
196#2440C2212yes—
197#2439C2212yes—
198#2439C2211yescharacteristic
199#2438C2214yes—
200#2438C2214yes—
201#2432C2211yescharacteristic
202#2429C2211yescharacteristic
203#2423C2212yes—
204#2423C2212yes—
205#2423C2212yes—
206#2422C2211yescharacteristic
207#2421C2212yes—
208#2420C2212yes—
209#2417C2212yes—
210#2417C2212yes—
211#2415C2212yes—
212#2415C2211yescharacteristic
213#2415C2211yescharacteristic
214#2409C2212yes—
215#2409C2212yes—
216#2407C2211yescharacteristic
217#2401C2212yes—
218#2398C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2378C2214yes—
223#2370C2212yes—
224#2369C2212yes—
225#2365C2211yescharacteristic
226#2365C2212yes—
227#2362C2212yes—
228#2362C2212yes—
229#2361C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2360C2212yes—
233#2359C2214yes—
234#2357C2212yes—
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2354C2212yes—
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249#2349C2212yes—
250D4×C4⋊C4C2211yescharacteristic
251D4×C4⋊C4C2212yes—
252#2346C2214yes—
253#2346C2212yes—
254#2345C2212yes—
255#2345C2212yes—
256#2341C2212yes—
257Q8×C22⋊C4C2212yes—
258#2339C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2330C2212yes—
262#2326C2212yes—
263#2323C2212yes—
264#2322C2214yes—
265#2320C2212yes—
266#2320C2212yes—
267#2319C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2314C2212yes—
271#2310C2212yes—
272#2310C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#126C2214yes—
278C4×#126C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284#2296C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287C2×#391C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2214yes—
291#2285C2211yescharacteristic
292#2285C2212yes—
293C2×#384C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301D4×Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306#529—28no—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×#123C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×#121C2311yescharacteristic
330C4×#41—28no—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2314yes—
351C2×C4×D4C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2314yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C42C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#401C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2312yes—
461#394C2312yes—
462#394C2312yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#393C2312yes—
467#393C2314yes—
468#393C2314yes—
469#393C2312yes—
470#392C2312yes—
471#391C2312yes—
472#391C2311yescharacteristic
473#391C2311yescharacteristic
474#391C2312yes—
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2314yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
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#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
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#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2312yes—
697#383C2314yes—
698#383C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2312yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#381C2314yes—
722#381C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2314yes—
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C4⋊Q8—24no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—42no—
845#126—28no—
846#126—28no—
847#126—84no—
848#125—24no—
849#125—44no—
850#125—44no—
851#125—84no—
852#125—82no—
853#125—84no—
854#124—24no—
855#123—28no—
856#123—28no—
857C22⋊Q8—24no—
858C22⋊Q8—28no—
859C22⋊Q8—24no—
860C22⋊Q8—216no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—42no—
864C22⋊Q8—42no—
865C22⋊Q8—42no—
866C22⋊Q8—84no—
867#121—24no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×D4—24no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—24no—
884C4×D4—44no—
885C4×D4—42no—
886C4×D4—42no—
887C4×D4—84no—
888C4×D4#4118yes—
889#117—28no—
890#117—24no—
891#117—28no—
892#117—44no—
893#117—44no—
894#117—42no—
895#117—44no—
896#117—42no—
897#117—84no—
898#117—82no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4—82no—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C42—28no—
1021C2×C42—24no—
1022C2×C42—24no—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147C24C2511yescharacteristic
1148C24C2512yes—
1149C24C2511yescharacteristic
1150#41—416no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—28no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—816no—
1169C2×Q82−1+414yes—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—22no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4C2×#4114yes—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—28no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4C2×#4118yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
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⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4C2×#4114yes—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4C2×#4118yes—
1366C22⋊C42−1+414yes—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—24no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—24no—
1378C42—22no—
1379C42—28no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—22no—
1384C42—24no—
1385C42—24no—
1386C42—22no—
1387C42—24no—
1388C42—22no—
1389C42—44no—
1390C42—44no—
1391C42—42no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—41no—
1401C42—44no—
1402C42C2×#4114yes—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—22no—
1407C23—21no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23C22×#4114yes—
1423C23C2×2−1+412yes—
1424C23C2611yescharacteristic
1425Q8—28no—
1426Q8—44no—
1427Q8—48no—
1428Q8—44no—
1429Q8—88no—
1430Q8—84no—
1431D4—28no—
1432D4—48no—
1433D4—48no—
1434D4—44no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—216no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—48no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—88no—
1530C2×C4—164no—
1531C2×C4—164no—
1532C2×C4C22×#4112yes—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4112yes—
1536C2×C4C2×2−1+414yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4C2×2−1+412yes—
1539C2×C4C2×2−1+412yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C22—22no—
1544C22—24no—
1545C22—22no—
1546C22—22no—
1547C22—24no—
1548C22—24no—
1549C22—42no—
1550C22—42no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22C23×#4111yescharacteristic
1565C22C22×2−1+411yescharacteristic
1566C22C22×2−1+411yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22H(7,𝔽2)11yescharacteristic
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—24no—
1575C4—24no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—42no—
1585C4—41no—
1586C4—41no—
1587C4—42no—
1588C4—44no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—41no—
1593C4—42no—
1594C4—44no—
1595C4—42no—
1596C4—44no—
1597C4—44no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4#349514yes—
1602C4#352114yes—
1603C2—42no—
1604C2—44no—
1605C2—81no—
1606C2#6276111yescharacteristic
1607C2C2×#352111yescharacteristic
1608C2C2×#349511yescharacteristic
1609C2#6295211yescharacteristic
1610C2#6296611yescharacteristic
1611C2#6300011yescharacteristic
1612C2#6303211yescharacteristic
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. #59870C2semidirect
2. #59507C2semidirect
3. #59321C2semidirect
4. #59274C2semidirect
5. #59249C2semidirect
6. #49288C2semidirect
7. #49176C2semidirect
8. #46198C2semidirect
9. #45327C2semidirect
10. #45230C2semidirect
12. #44977C2semidirect
13. #42936C2semidirect
14. #42924C2semidirect
15. #42780C2semidirect
16. #42743C2semidirect
17. #38976C2semidirect
18. #38965C2semidirect
19. #38933C2semidirect
20. #38911C2semidirect
21. #38588C2semidirect
22. #38224C2semidirect
23. #37982C2semidirect
24. #36554C2semidirect
25. #36451C2semidirect
26. #36450C2semidirect
27. #36274C2semidirect
28. #36189C2semidirect
29. #35313C2semidirect
30. #35221C2semidirect
31. #34803C2semidirect
33. #34487C2semidirect
34. #34384C2semidirect
35. #34129C2semidirect

Maximal subgroups

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

subgroupindex
#598702
#595072
#593212
#592742
#592492
#492882
#491762
#461982
#453272
#452302
#449922
#449772
#429362
#429242
#427802
#427432
#389762
#389652
#389332
#389112
#385882
#382242
#379822
#365542
#364512
#364502
#362742
#361892
#353132
#352212
#348032
#347242
#344872
#343842
#341292