Finite Group Databasebeta

← #8459266

Subgroups — #8459266

Order 512.

4448 conjugacy classes of subgroups.

The subgroup lattice has 1655 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59466C211yesmaximal, characteristic, complemented
2#59312C211yesmaximal, characteristic, complemented
3#59243C211yesmaximal, characteristic, complemented
4#58738C214yesmaximal, complemented
5#57747C214yesmaximal, complemented
6#55473C214yesmaximal, complemented
7#53089C212yesmaximal, complemented
8#52976C212yesmaximal, complemented
9#48191C214yesmaximal, complemented
10#46014C212yesmaximal, complemented
11#45711C212yesmaximal, complemented
12#45286C212yesmaximal, complemented
13#44906C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#42622C212yesmaximal, complemented
16#42576C212yesmaximal, complemented
17#42564C212yesmaximal, complemented
18#40027C212yesmaximal, complemented
19#39937C212yesmaximal, complemented
20#39736C211yesmaximal, characteristic, complemented
21#39735C211yesmaximal, characteristic, complemented
22#39182C211yesmaximal, characteristic, complemented
23#39147C211yesmaximal, characteristic, complemented
24#38274C212yesmaximal, complemented
25#37871C212yesmaximal, complemented
26#37624C211yesmaximal, characteristic, complemented
27#37370C212yesmaximal, complemented
28#37321C212yesmaximal, complemented
29#36273C211yesmaximal, characteristic, complemented
30#36192C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#35286C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34793C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#553C2212yes—
38C2×#552C2212yes—
39#2859C2211yescharacteristic
40#2859C2212yes—
41#2859C2212yes—
42#2858C2212yes—
43#2856C2211yescharacteristic
44#2856C2211yescharacteristic
45#2854C2212yes—
46#2851C2212yes—
47#2850C2212yes—
48#2841C2214yes—
49#2838C2214yes—
50#2837C2214yes—
51#2827C2214yes—
52#2827C2214yes—
53#2826C2214yes—
54#2820C2214yes—
55#2813C2214yes—
56#2805C2214yes—
57#2798C2214yes—
58#2796C2214yes—
59#2796C2214yes—
60#2787C2214yes—
61#2787C2214yes—
62#2786C2214yes—
63#2783C2214yes—
64#2781C2214yes—
65#2772C2214yes—
66#2765C2214yes—
67#2761C2214yes—
68#2757C2214yes—
69#2755C2214yes—
70#2753C2214yes—
71#2751C2214yes—
72#2748C2214yes—
73#2746C2214yes—
74#2746C2214yes—
75#2745C2214yes—
76#2743C2214yes—
77#2740C2214yes—
78#2739C2214yes—
79#2727C2214yes—
80#2725C2214yes—
81#2725C2214yes—
82#2724C2214yes—
83#2721C2214yes—
84#2715C2214yes—
85#2715C2214yes—
86#2715C2214yes—
87#2715C2214yes—
88#2710C2214yes—
89#2710C2214yes—
90#2708C2214yes—
91#2708C2214yes—
92#2707C2214yes—
93#2707C2214yes—
94#2707C2214yes—
95#2706C2214yes—
96#2706C2214yes—
97#2705C2214yes—
98#2705C2214yes—
99#2703C2214yes—
100#2701C2214yes—
101#2693C2214yes—
102#2691C2214yes—
103#2686C2214yes—
104#2682C2214yes—
105#2666C2214yes—
106#2660C2212yes—
107#2652C2214yes—
108#2651C2214yes—
109#2648C2214yes—
110#2647C2212yes—
111#2647C2214yes—
112#2647C2212yes—
113#2644C2212yes—
114#2630C2214yes—
115#2629C2212yes—
116#2628C2212yes—
117#2624C2214yes—
118#2623C2214yes—
119#2620C2212yes—
120#2619C2212yes—
121#2610C2214yes—
122#2594C2214yes—
123#2594C2214yes—
124#2579C2214yes—
125#2578C2212yes—
126#2576C2212yes—
127#2571C2211yescharacteristic
128#2571C2212yes—
129#2571C2212yes—
130#2571C2211yescharacteristic
131#2570C2212yes—
132#2570C2211yescharacteristic
133#2568C2212yes—
134#2566C2212yes—
135#2566C2212yes—
136#2566C2212yes—
137#2566C2212yes—
138#2566C2212yes—
139#2566C2211yescharacteristic
140#2562C2211yescharacteristic
141#2558C2214yes—
142#2555C2214yes—
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2552C2212yes—
148#2552C2211yescharacteristic
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2212yes—
152#2550C2212yes—
153#2548C2211yescharacteristic
154#2541C2211yescharacteristic
155#2538C2211yescharacteristic
156#2535C2212yes—
157#2535C2211yescharacteristic
158#2530C2212yes—
159#2528C2212yes—
160#2522C2214yes—
161#2522C2214yes—
162#2517C2212yes—
163#2515C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2511C2211yescharacteristic
174#2508C2212yes—
175#2506C2211yescharacteristic
176#2504C2212yes—
177#2501C2212yes—
178#2500C2212yes—
179#2500C2212yes—
180#2499C2212yes—
181#2499C2211yescharacteristic
182#2497C2211yescharacteristic
183#2494C2211yescharacteristic
184#2494C2212yes—
185#2494C2212yes—
186#2494C2211yescharacteristic
187#2491C2212yes—
188#2491C2212yes—
189#2490C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2489C2211yescharacteristic
193#2486C2212yes—
194#2485C2214yes—
195#2485C2211yescharacteristic
196#2478C2214yes—
197#2475C2214yes—
198#2475C2214yes—
199#2474C2214yes—
200#2474C2214yes—
201#2473C2214yes—
202#2460C2212yes—
203#2457C2214yes—
204#2457C2212yes—
205#2454C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2454C2212yes—
209#2454C2212yes—
210#2454C2212yes—
211#2453C2212yes—
212#2447C2212yes—
213#2447C2214yes—
214#2445C2212yes—
215#2445C2212yes—
216#2443C2214yes—
217#2442C2214yes—
218#2442C2212yes—
219#2442C2212yes—
220#2441C2212yes—
221#2441C2212yes—
222#2441C2212yes—
223#2441C2212yes—
224#2441C2211yescharacteristic
225#2439C2212yes—
226#2428C2212yes—
227#2427C2212yes—
228#2426C2212yes—
229#2423C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2422C2211yescharacteristic
235#2422C2212yes—
236#2420C2212yes—
237#2420C2211yescharacteristic
238#2420C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2415C2212yes—
242#2415C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2413C2214yes—
246#2413C2214yes—
247#2401C2212yes—
248#2401C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2379C2214yes—
252#2370C2212yes—
253#2370C2212yes—
254#2370C2212yes—
255#2366C2211yescharacteristic
256#2366C2211yescharacteristic
257#2363C2212yes—
258#2361C2212yes—
259#2361C2212yes—
260#2355C2211yescharacteristic
261#2354C2212yes—
262#2354C2211yescharacteristic
263#2354C2211yescharacteristic
264Q8×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2212yes—
267#2344C2212yes—
268#2334C2214yes—
269#2331C2212yes—
270#2328C2212yes—
271#2326C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2319C2212yes—
275#2317C2212yes—
276#2316C2212yes—
277C4×#127C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2298C2212yes—
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2290C2212yes—
290#2285C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#555—48no—
300#553—48no—
301#552—48no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#127C2311yescharacteristic
305C2×#127C2312yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2314yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2314yes—
342C2×#121C2311yescharacteristic
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379#401C2312yes—
380#401C2314yes—
381#401C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#393C2314yes—
499#393C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#391C2311yescharacteristic
506#391C2314yes—
507#391C2312yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2312yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#390C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#383C2312yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2314yes—
717#382C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#381C2314yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2314yes—
758#380C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2414yes—
815C22×D4C2412yes—
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2414yes—
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841#127—24no—
842#127—44no—
843#126—48no—
844#126—48no—
845#126—48no—
846#125—42no—
847#125—44no—
848#125—42no—
849#125—44no—
850#125—44no—
851#125—44no—
852#125—44no—
853#125—44no—
854#125—48no—
855#125—84no—
856#124—48no—
857#124—48no—
858#124—44no—
859#124—48no—
860#123—44no—
861#123—48no—
862#123—48no—
863#123—84no—
864#123—84no—
865#123—84no—
866#123—84no—
867C22⋊Q8—24no—
868C22⋊Q8—42no—
869C22⋊Q8—44no—
870#121—28no—
871#121—44no—
872#121—48no—
873#121—44no—
874#121—44no—
875#121—42no—
876#121—42no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—48no—
881#121—82no—
882C4×Q8—24no—
883C4×Q8—44no—
884C4×D4—28no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—42no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—42no—
898C4×D4—48no—
899C4×D4—82no—
900#117—24no—
901#117—44no—
902#117—44no—
903#117—48no—
904#117—48no—
905#117—42no—
906#117—44no—
907#117—44no—
908#117—44no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—44no—
911C2×C4⋊C4—84no—
912C2×C4⋊C4—82no—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C42—24no—
1046C2×C42—24no—
1047C2×C42—44no—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2512yes—
1154C24C2511yescharacteristic
1155C24C2514yes—
1156C24C2511yescharacteristic
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—28no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—41no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—41no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—41no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4H(5,𝔽2)14yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2514yes—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—41no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—28no—
1346C22⋊C4—22no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—22no—
1350C22⋊C4—28no—
1351C22⋊C4—24no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—42no—
1371C22⋊C4—41no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—22no—
1409C42—24no—
1410C42—24no—
1411C42—24no—
1412C42—24no—
1413C42—22no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—42no—
1418C42—42no—
1419C42—42no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—41no—
1425C42—41no—
1426C42—42no—
1427C42—44no—
1428C422−1+414yes—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—22no—
1436C23—21no—
1437C23—24no—
1438C23—22no—
1439C23—21no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—24no—
1450C23—22no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—24no—
1456C23C2×H(5,𝔽2)12yes—
1457C23C2611yescharacteristic
1458Q8—44no—
1459Q8—164no—
1460D4—44no—
1461D4—48no—
1462D4—44no—
1463D4—48no—
1464D4—84no—
1465D4—88no—
1466D4—84no—
1467D4—84no—
1468D4—164no—
1469D4—164no—
1470D4—164no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—28no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—82no—
1562C2×C4—88no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—164no—
1568C2×C4C2×H(5,𝔽2)12yes—
1569C2×C4C2×H(5,𝔽2)12yes—
1570C2×C4C2×2−1+412yes—
1571C2×C4C2×2−1+412yes—
1572C2×C4C2×2−1+412yes—
1573C2×C4#58512yes—
1574C2×C4#58512yes—
1575C2×C4#58512yes—
1576C2×C4#58512yes—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—42no—
1585C22—41no—
1586C22—44no—
1587C22—41no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—41no—
1592C22—44no—
1593C22—41no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—44no—
1598C22—41no—
1599C22—44no—
1600C22—42no—
1601C22—41no—
1602C22—41no—
1603C22—44no—
1604C22—42no—
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22H(7,𝔽2)11yescharacteristic
1612C4—22no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—42no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—44no—
1637C4—44no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4#355914yes—
1642C4#356514yes—
1643C2—42no—
1644C2—81no—
1645C2—82no—
1646C2—84no—
1647C2C2×#355911yescharacteristic
1648C2C2×#356511yescharacteristic
1649C2#6283611yescharacteristic
1650C2#6293811yescharacteristic
1651C2#6295511yescharacteristic
1652C2#6295811yescharacteristic
1653C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59466C2semidirect
2. #59312C2semidirect
3. #59243C2semidirect
4. #58738C2semidirect
5. #57747C2semidirect
6. #55473C2semidirect
7. #53089C2semidirect
8. #52976C2semidirect
9. #48191C2semidirect
10. #46014C2semidirect
11. #45711C2semidirect
12. #45286C2semidirect
13. #44906C2semidirect
14. #42674C2semidirect
15. #42622C2semidirect
16. #42576C2semidirect
17. #42564C2semidirect
18. #40027C2semidirect
19. #39937C2semidirect
20. #39736C2semidirect
21. #39735C2semidirect
22. #39182C2semidirect
23. #39147C2semidirect
24. #38274C2semidirect
25. #37871C2semidirect
26. #37624C2semidirect
27. #37370C2semidirect
28. #37321C2semidirect
29. #36273C2semidirect
30. #36192C2semidirect
31. #36182C2semidirect
32. #35286C2semidirect
33. #35197C2semidirect
34. #34917C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#594662
#593122
#592432
#587382
#577472
#554732
#530892
#529762
#481912
#460142
#457112
#452862
#449062
#426742
#426222
#425762
#425642
#400272
#399372
#397362
#397352
#391822
#391472
#382742
#378712
#376242
#373702
#373212
#362732
#361922
#361822
#352862
#351972
#349172
#347932