Finite Group Databasebeta

← #7719998

Subgroups — #7719998

Order 512.

4555 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51129C214yesmaximal, complemented
2#51127C214yesmaximal, complemented
3#51123C214yesmaximal, complemented
4#51121C214yesmaximal, complemented
5#45080C212yesmaximal, complemented
6#45060C212yesmaximal, complemented
7#45012C212yesmaximal, complemented
8#44992C212yesmaximal, complemented
9#44983C212yesmaximal, complemented
10#44944C212yesmaximal, complemented
11#44924C212yesmaximal, complemented
12#44902C212yesmaximal, complemented
13#39754C211yesmaximal, characteristic, complemented
14#39744C211yesmaximal, characteristic, complemented
15#39149C212yesmaximal, complemented
16#39149C211yesmaximal, characteristic, complemented
17#39146C211yesmaximal, characteristic, complemented
18#39143C212yesmaximal, complemented
19#37774C212yesmaximal, complemented
20#37765C212yesmaximal, complemented
21#37417C212yesmaximal, complemented
22#37399C212yesmaximal, complemented
23#36504C211yesmaximal, characteristic
24#36445C211yesmaximal, characteristic, complemented
25#36134C211yesmaximal, characteristic, complemented
26#36114C211yesmaximal, characteristic, complemented
27#35326C212yesmaximal, complemented
28#35319C211yesmaximal, characteristic, complemented
29#35315C212yesmaximal, complemented
30#35196C211yesmaximal, characteristic, complemented
31#35176C211yesmaximal, characteristic, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34488C211yesmaximal, characteristic, complemented
34#34481C211yesmaximal, characteristic, complemented
35#34123C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#541C2212yes—
39C2×#533C2212yes—
40C2×#529C2212yes—
41C2×C4×#41C2211yescharacteristic
42#2868C2211yescharacteristic
43#2859C2211yescharacteristic
44#2857C2212yes—
45#2857C2212yes—
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2855C2212yes—
50#2855C2212yes—
51#2851C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2802C2214yes—
55#2800C2214yes—
56#2791C2214yes—
57#2791C2214yes—
58#2786C2214yes—
59#2783C2214yes—
60#2780C2214yes—
61#2780C2214yes—
62#2779C2214yes—
63#2777C2214yes—
64#2776C2214yes—
65#2776C2214yes—
66#2776C2214yes—
67#2774C2214yes—
68#2773C2214yes—
69#2773C2214yes—
70#2770C2214yes—
71#2768C2214yes—
72#2765C2214yes—
73#2761C2214yes—
74#2761C2214yes—
75#2753C2214yes—
76#2749C2214yes—
77#2746C2214yes—
78#2740C2214yes—
79#2739C2214yes—
80#2739C2214yes—
81#2739C2214yes—
82#2738C2214yes—
83#2738C2214yes—
84#2727C2214yes—
85#2723C2214yes—
86#2721C2214yes—
87#2721C2214yes—
88#2721C2214yes—
89#2721C2214yes—
90#2720C2214yes—
91#2719C2214yes—
92#2705C2214yes—
93#2694C2214yes—
94#2667C2214yes—
95#2660C2212yes—
96#2658C2212yes—
97#2654C2212yes—
98#2653C2212yes—
99#2650C2212yes—
100#2649C2212yes—
101#2649C2214yes—
102#2647C2211yescharacteristic
103#2645C2211yescharacteristic
104#2645C2212yes—
105#2645C2212yes—
106#2644C2211yescharacteristic
107#2642C2212yes—
108#2640C2211yescharacteristic
109#2628C2211yescharacteristic
110#2625C2211yescharacteristic
111#2624C2211yescharacteristic
112#2621C2212yes—
113#2620C2211yescharacteristic
114#2611C2214yes—
115#2611C2214yes—
116#2604C2214yes—
117#2604C2214yes—
118#2584C2212yes—
119#2581C2212yes—
120#2576C2214yes—
121#2571C2212yes—
122#2571C2211yescharacteristic
123#2570C2212yes—
124#2570C2214yes—
125#2570C2212yes—
126#2564C2214yes—
127#2564C2214yes—
128#2562C2212yes—
129#2552C2212yes—
130#2552C2211yescharacteristic
131#2547C2211yescharacteristic
132#2546C2212yes—
133#2546C2211yescharacteristic
134#2545C2212yes—
135#2542C2212yes—
136#2542C2211yescharacteristic
137#2542C2211yescharacteristic
138#2540C2212yes—
139#2538C2211yescharacteristic
140#2538C2212yes—
141#2538C2212yes—
142#2537C2211yescharacteristic
143#2536C2212yes—
144#2533C2214yes—
145#2533C2214yes—
146#2528C2214yes—
147#2528C2214yes—
148#2525C2214yes—
149#2522C2214yes—
150#2516C2214yes—
151#2516C2214yes—
152#2515C2214yes—
153#2509C2212yes—
154#2509C2214yes—
155#2508C2212yes—
156#2507C2212yes—
157#2506C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2506C2212yes—
161#2505C2214yes—
162#2505C2214yes—
163#2498C2214yes—
164#2498C2214yes—
165#2497C2212yes—
166#2497C2212yes—
167#2497C2214yes—
168#2496C2212yes—
169#2496C2212yes—
170#2496C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2494C2212yes—
174#2494C2212yes—
175#2494C2214yes—
176#2493C2214yes—
177#2493C2214yes—
178#2487C2212yes—
179#2479C2214yes—
180#2479C2214yes—
181#2479C2214yes—
182#2475C2214yes—
183#2470C2214yes—
184#2469C2214yes—
185#2467C2214yes—
186#2467C2214yes—
187#2466C2214yes—
188#2462C2214yes—
189#2454C2212yes—
190#2454C2212yes—
191#2454C2214yes—
192#2454C2214yes—
193#2453C2212yes—
194#2442C2212yes—
195#2441C2214yes—
196#2441C2214yes—
197#2441C2212yes—
198#2441C2212yes—
199#2441C2212yes—
200#2441C2214yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2423C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2423C2214yes—
211#2423C2212yes—
212#2423C2212yes—
213#2422C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2420C2212yes—
218#2420C2212yes—
219#2407C2212yes—
220#2401C2212yes—
221#2398C2212yes—
222#2396C2212yes—
223#2395C2212yes—
224#2383C2214yes—
225#2382C2214yes—
226#2370C2212yes—
227#2367C2212yes—
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2363C2212yes—
232#2361C2212yes—
233#2360C2212yes—
234#2356C2211yescharacteristic
235#2356C2211yescharacteristic
236#2355C2212yes—
237#2355C2211yescharacteristic
238#2354C2212yes—
239#2354C2212yes—
240#2353C2212yes—
241#2353C2212yes—
242#2351C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248#2349C2211yescharacteristic
249#2349C2211yescharacteristic
250D4×C4⋊C4C2211yescharacteristic
251#2347C2212yes—
252#2346C2211yescharacteristic
253#2346C2211yescharacteristic
254#2344C2212yes—
255#2343C2212yes—
256#2343C2212yes—
257#2341C2212yes—
258#2339C2211yescharacteristic
259#2339C2211yescharacteristic
260#2336C2214yes—
261#2334C2214yes—
262#2330C2212yes—
263#2330C2212yes—
264#2330C2212yes—
265#2327C2212yes—
266#2327C2212yes—
267#2327C2212yes—
268#2327C2212yes—
269#2326C2212yes—
270#2326C2212yes—
271#2324C2212yes—
272#2323C2212yes—
273#2320C2212yes—
274#2320C2212yes—
275#2320C2212yes—
276#2319C2212yes—
277#2317C2212yes—
278#2314C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#121C2211yescharacteristic
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2290C2212yes—
293#2283C2212yes—
294#2283C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300#557—28no—
301#556—28no—
302#541—48no—
303#533—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311#529—48no—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C4×#41—28no—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2314yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2314yes—
373C2×#117C2314yes—
374C2×#117C2311yescharacteristic
375C22×C4⋊C4C2312yes—
376C22×C42C2312yes—
377C22×C42C2312yes—
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380#401C2314yes—
381#401C2312yes—
382#401C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#399C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2312yes—
481#393C2312yes—
482#393C2312yes—
483#392C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2314yes—
573#389C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2314yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#383C2314yes—
703#383C2314yes—
704#383C2312yes—
705#383C2312yes—
706#383C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2311yescharacteristic
720#381C2314yes—
721#381C2312yes—
722#381C2312yes—
723#381C2314yes—
724#381C2314yes—
725#381C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—42no—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2414yes—
828C22×D4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C4⋊Q8—24no—
842C4⋊Q8—24no—
843C4⋊Q8—28no—
844C4⋊Q8—24no—
845C4⋊Q8—28no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848#126—216no—
849#126—48no—
850#126—48no—
851#126—48no—
852#125—28no—
853#125—216no—
854#125—28no—
855#125—44no—
856#125—48no—
857#125—48no—
858#125—48no—
859#124—28no—
860#124—24no—
861#124—44no—
862#123—48no—
863C22⋊Q8—28no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—42no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873#121—28no—
874#121—42no—
875#121—44no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8#4118yes—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—28no—
894C4×D4—24no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—48no—
902#117—24no—
903#117—28no—
904#117—28no—
905#117—24no—
906#117—42no—
907#117—44no—
908#117—48no—
909#117—48no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C42—24no—
1032C2×C42—28no—
1033C2×C42—28no—
1034C2×C42—44no—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156C24C2512yes—
1157C24C2511yescharacteristic
1158C24C2512yes—
1159#41—416no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—22no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8C2×#4114yes—
1175C2×D4—24no—
1176C2×D4—28no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D42−1+414yes—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—24no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—44no—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4C2×#4114yes—
1334C4⋊C4C2×#4118yes—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C42—22no—
1379C42—24no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—28no—
1384C42—28no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—24no—
1394C42—22no—
1395C42—24no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—42no—
1400C42—42no—
1401C42—41no—
1402C42—41no—
1403C42—44no—
1404C42—41no—
1405C42—41no—
1406C42—44no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42C2×#4114yes—
1413C42C2×#4118yes—
1414C42H(5,𝔽2)14yes—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—22no—
1433C23—21no—
1434C23—22no—
1435C23C2×2−1+414yes—
1436C23C2611yescharacteristic
1437Q8—28no—
1438Q8—48no—
1439Q8—48no—
1440Q8—44no—
1441Q8—48no—
1442D4—28no—
1443D4—48no—
1444D4—44no—
1445D4—88no—
1446D4—84no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—24no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—48no—
1533C2×C4—48no—
1534C2×C4—48no—
1535C2×C4—44no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—84no—
1539C2×C4—82no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—88no—
1543C2×C4—84no—
1544C2×C4C22×#4114yes—
1545C2×C4C22×#4114yes—
1546C2×C4C22×#4112yes—
1547C2×C4C22×#4112yes—
1548C2×C4C22×#4112yes—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C2×C4C2×H(5,𝔽2)12yes—
1551C2×C4C2×H(5,𝔽2)12yes—
1552C2×C4C2×2−1+412yes—
1553C2×C4#58512yes—
1554C2×C4#58512yes—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—41no—
1563C22—42no—
1564C22—41no—
1565C22—42no—
1566C22—41no—
1567C22—42no—
1568C22—42no—
1569C22—41no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—41no—
1576C22C23×#4111yescharacteristic
1577C22C22×H(5,𝔽2)11yescharacteristic
1578C22C22×2−1+411yescharacteristic
1579C22C2×#58511yescharacteristic
1580C22C2×#58511yescharacteristic
1581C222−1+611yescharacteristic
1582C222−1+611yescharacteristic
1583C4—24no—
1584C4—22no—
1585C4—24no—
1586C4—22no—
1587C4—22no—
1588C4—42no—
1589C4—41no—
1590C4—44no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—41no—
1595C4—42no—
1596C4—41no—
1597C4—41no—
1598C4—44no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—42no—
1605C4—41no—
1606C4—42no—
1607C4—41no—
1608C4—42no—
1609C4—44no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4#349514yes—
1614C4#351714yes—
1615C2—44no—
1616C2—81no—
1617C2—82no—
1618C2C2×#351711yescharacteristic
1619C2C2×#349511yescharacteristic
1620C2#6286111yescharacteristic
1621C2#6292511yescharacteristic
1622C2#6293611yescharacteristic
1623C2#6294211yescharacteristic
1624C2#6295011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36504C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #51129C2semidirect
2. #51127C2semidirect
3. #51123C2semidirect
4. #51121C2semidirect
5. #45080C2semidirect
6. #45060C2semidirect
7. #45012C2semidirect
8. #44992C2semidirect
9. #44983C2semidirect
10. #44944C2semidirect
11. #44924C2semidirect
12. #44902C2semidirect
13. #39754C2semidirect
14. #39744C2semidirect
15. #39149C2semidirect
16. #39149C2semidirect
17. #39146C2semidirect
18. #39143C2semidirect
19. #37774C2semidirect
20. #37765C2semidirect
21. #37417C2semidirect
22. #37399C2semidirect
24. #36445C2semidirect
25. #36134C2semidirect
26. #36114C2semidirect
27. #35326C2semidirect
28. #35319C2semidirect
29. #35315C2semidirect
30. #35196C2semidirect
31. #35176C2semidirect
32. #34619C2semidirect
33. #34488C2semidirect
34. #34481C2semidirect
35. #34123C2semidirect

Maximal subgroups

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

subgroupindex
#511292
#511272
#511232
#511212
#450802
#450602
#450122
#449922
#449832
#449442
#449242
#449022
#397542
#397442
#391492
#391462
#391432
#377742
#377652
#374172
#373992
#365042
#364452
#361342
#361142
#353262
#353192
#353152
#351962
#351762
#346192
#344882
#344812
#341232