Finite Group Databasebeta

← #8467046

Subgroups — #8467046

Order 512.

4443 conjugacy classes of subgroups.

The subgroup lattice has 1639 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59680C211yesmaximal, characteristic
2#59646C211yesmaximal, characteristic, complemented
3#59640C211yesmaximal, characteristic, complemented
4#58674C214yesmaximal, complemented
5#56504C214yesmaximal, complemented
6#55357C214yesmaximal, complemented
7#53127C212yesmaximal, complemented
8#52995C212yesmaximal, complemented
9#50045C214yesmaximal, complemented
10#46345C212yesmaximal, complemented
11#45711C212yesmaximal, complemented
12#45379C212yesmaximal, complemented
13#45096C212yesmaximal, complemented
14#42757C212yesmaximal, complemented
15#42742C212yesmaximal, complemented
16#42734C212yesmaximal, complemented
17#42538C212yesmaximal, complemented
18#39866C212yesmaximal, complemented
19#39771C212yesmaximal, complemented
20#39763C211yesmaximal, characteristic, complemented
21#39182C211yesmaximal, characteristic, complemented
22#38977C211yesmaximal, characteristic, complemented
23#38964C211yesmaximal, characteristic, complemented
24#38237C212yesmaximal, complemented
25#37711C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37360C212yesmaximal, complemented
28#37336C212yesmaximal, complemented
29#36573C211yesmaximal, characteristic, complemented
30#36312C211yesmaximal, characteristic, complemented
31#36132C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34951C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#542C2212yes—
38C2×#533C2212yes—
39#2860C2212yes—
40#2860C2212yes—
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2858C2212yes—
45#2854C2212yes—
46#2851C2212yes—
47#2850C2212yes—
48#2836C2214yes—
49#2832C2214yes—
50#2830C2214yes—
51#2829C2214yes—
52#2827C2214yes—
53#2826C2214yes—
54#2824C2214yes—
55#2816C2214yes—
56#2805C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2800C2214yes—
60#2800C2214yes—
61#2798C2214yes—
62#2796C2214yes—
63#2796C2214yes—
64#2793C2214yes—
65#2788C2214yes—
66#2782C2214yes—
67#2781C2214yes—
68#2772C2214yes—
69#2765C2214yes—
70#2763C2214yes—
71#2761C2214yes—
72#2755C2214yes—
73#2754C2214yes—
74#2751C2214yes—
75#2751C2214yes—
76#2750C2214yes—
77#2745C2214yes—
78#2744C2214yes—
79#2743C2214yes—
80#2739C2214yes—
81#2731C2214yes—
82#2730C2214yes—
83#2728C2214yes—
84#2723C2214yes—
85#2723C2214yes—
86#2720C2214yes—
87#2718C2214yes—
88#2718C2214yes—
89#2714C2214yes—
90#2712C2214yes—
91#2710C2214yes—
92#2708C2214yes—
93#2705C2214yes—
94#2701C2214yes—
95#2701C2214yes—
96#2698C2214yes—
97#2696C2214yes—
98#2691C2214yes—
99#2687C2214yes—
100#2687C2214yes—
101#2686C2214yes—
102#2681C2214yes—
103#2680C2214yes—
104#2672C2214yes—
105#2662C2214yes—
106#2653C2214yes—
107#2652C2214yes—
108#2648C2214yes—
109#2647C2212yes—
110#2645C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2643C2214yes—
114#2641C2212yes—
115#2640C2212yes—
116#2640C2212yes—
117#2640C2214yes—
118#2638C2214yes—
119#2637C2214yes—
120#2628C2212yes—
121#2604C2214yes—
122#2602C2214yes—
123#2597C2212yes—
124#2595C2212yes—
125#2592C2211yescharacteristic
126#2592C2212yes—
127#2585C2212yes—
128#2585C2212yes—
129#2582C2211yescharacteristic
130#2582C2211yescharacteristic
131#2580C2211yescharacteristic
132#2580C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2580C2212yes—
136#2571C2212yes—
137#2571C2211yescharacteristic
138#2570C2211yescharacteristic
139#2568C2212yes—
140#2568C2211yescharacteristic
141#2567C2212yes—
142#2552C2211yescharacteristic
143#2551C2211yescharacteristic
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2550C2212yes—
147#2548C2212yes—
148#2548C2212yes—
149#2548C2211yescharacteristic
150#2548C2211yescharacteristic
151#2546C2211yescharacteristic
152#2544C2211yescharacteristic
153#2544C2212yes—
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2538C2211yescharacteristic
158#2538C2211yescharacteristic
159#2536C2214yes—
160#2535C2212yes—
161#2529C2214yes—
162#2527C2214yes—
163#2519C2214yes—
164#2516C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2513C2211yescharacteristic
169#2513C2212yes—
170#2512C2212yes—
171#2511C2211yescharacteristic
172#2511C2212yes—
173#2509C2211yescharacteristic
174#2509C2211yescharacteristic
175#2508C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2508C2212yes—
179#2503C2212yes—
180#2500C2212yes—
181#2500C2212yes—
182#2496C2212yes—
183#2496C2214yes—
184#2494C2212yes—
185#2491C2212yes—
186#2491C2212yes—
187#2490C2212yes—
188#2489C2212yes—
189#2488C2214yes—
190#2488C2214yes—
191#2485C2212yes—
192#2485C2212yes—
193#2469C2214yes—
194#2465C2214yes—
195#2465C2214yes—
196#2461C2214yes—
197#2459C2214yes—
198#2458C2214yes—
199#2458C2212yes—
200#2457C2214yes—
201#2456C2214yes—
202#2454C2212yes—
203#2454C2212yes—
204#2454C2212yes—
205#2454C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2453C2212yes—
209#2453C2211yescharacteristic
210#2453C2211yescharacteristic
211#2452C2212yes—
212#2452C2212yes—
213#2452C2212yes—
214#2452C2212yes—
215#2452C2212yes—
216#2452C2212yes—
217#2448C2212yes—
218#2448C2214yes—
219#2447C2212yes—
220#2447C2214yes—
221#2447C2212yes—
222#2447C2212yes—
223#2447C2211yescharacteristic
224#2446C2212yes—
225#2445C2212yes—
226#2445C2212yes—
227#2445C2212yes—
228#2445C2212yes—
229#2445C2211yescharacteristic
230#2442C2212yes—
231#2440C2212yes—
232#2439C2212yes—
233#2439C2212yes—
234#2439C2212yes—
235#2427C2212yes—
236#2426C2212yes—
237#2423C2212yes—
238#2422C2212yes—
239#2421C2214yes—
240#2420C2212yes—
241#2420C2212yes—
242#2419C2214yes—
243#2416C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2414C2212yes—
247#2402C2212yes—
248#2402C2212yes—
249#2398C2212yes—
250#2395C2212yes—
251#2379C2214yes—
252#2367C2212yes—
253#2366C2212yes—
254#2365C2212yes—
255#2365C2212yes—
256#2363C2212yes—
257#2363C2212yes—
258#2362C2212yes—
259#2357C2212yes—
260#2355C2211yescharacteristic
261#2354C2211yescharacteristic
262#2354C2211yescharacteristic
263#2354C2211yescharacteristic
264Q8×C4⋊C4C2211yescharacteristic
265#2349C2212yes—
266#2349C2212yes—
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269#2346C2212yes—
270#2331C2212yes—
271#2330C2212yes—
272#2328C2212yes—
273#2326C2214yes—
274#2324C2212yes—
275#2319C2212yes—
276#2319C2212yes—
277#2317C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#125C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×#123C2212yes—
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2212yes—
293#2295C2212yes—
294#2293C2211yescharacteristic
295#2290C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#553—48no—
300#542—48no—
301#533—48no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2311yescharacteristic
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2314yes—
321C2×#124C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2311yescharacteristic
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2314yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2314yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2312yes—
379#401C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2312yes—
407#399C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2314yes—
727#384C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2314yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2312yes—
741#382C2314yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2414yes—
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2414yes—
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C4⋊Q8—28no—
839C4⋊Q8—42no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844#127—24no—
845#127—44no—
846#127—44no—
847#127—42no—
848#126—48no—
849#126—48no—
850#126—84no—
851#125—24no—
852#125—24no—
853#125—44no—
854#125—44no—
855#125—82no—
856#124—48no—
857#124—42no—
858#124—42no—
859#124—44no—
860#124—44no—
861#124—48no—
862#124—48no—
863#123—44no—
864#123—48no—
865#123—48no—
866#123—84no—
867#123—84no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—84no—
874C22⋊Q8—84no—
875#121—28no—
876#121—48no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—84no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—24no—
884C4×Q8—42no—
885C4×Q8—42no—
886C4×Q8—44no—
887C4×Q8—48no—
888C4×Q8—42no—
889C4×Q8—42no—
890C4×Q8—44no—
891C4×Q8—48no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—44no—
903C4×D4—48no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—82no—
908C4×D4—82no—
909#117—28no—
910#117—44no—
911#117—44no—
912#117—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—44no—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
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#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
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—
1154C24C2514yes—
1155C24C2512yes—
1156C2×Q8—22no—
1157C2×Q8—28no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—41no—
1166C2×Q8—41no—
1167C2×Q8—44no—
1168C2×Q8—42no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×D4—24no—
1175C2×D4—28no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2514yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4H(5,𝔽2)14yes—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C42—22no—
1390C42—24no—
1391C42—28no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—22no—
1398C42—22no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—24no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—42no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—41no—
1416C42—41no—
1417C42—41no—
1418C42—41no—
1419C42—42no—
1420C42—44no—
1421C42—44no—
1422C42—41no—
1423C42—42no—
1424C422−1+414yes—
1425C23—22no—
1426C23—24no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—24no—
1431C23—22no—
1432C23—22no—
1433C23—24no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23C2611yescharacteristic
1447Q8—44no—
1448Q8—44no—
1449Q8—44no—
1450Q8—88no—
1451Q8—84no—
1452Q8—88no—
1453D4—48no—
1454D4—48no—
1455D4—44no—
1456D4—44no—
1457D4—48no—
1458D4—88no—
1459D4—84no—
1460D4—84no—
1461D4—164no—
1462D4—164no—
1463D4—164no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—48no—
1552C2×C4—48no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—164no—
1556C2×C4—164no—
1557C2×C4—164no—
1558C2×C4—164no—
1559C2×C4C2×H(5,𝔽2)14yes—
1560C2×C4C2×H(5,𝔽2)12yes—
1561C2×C4C2×2−1+412yes—
1562C2×C4C2×2−1+412yes—
1563C2×C4C2×2−1+412yes—
1564C2×C4#58512yes—
1565C2×C4#58512yes—
1566C2×C4#58512yes—
1567C2×C4#58512yes—
1568C22—42no—
1569C22—42no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—42no—
1575C22—44no—
1576C22—42no—
1577C22—42no—
1578C22—44no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—44no—
1583C22—44no—
1584C22—42no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22C22×H(5,𝔽2)11yescharacteristic
1590C22C22×2−1+411yescharacteristic
1591C22C2×#58511yescharacteristic
1592C22C2×#58511yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22H(7,𝔽2)11yescharacteristic
1596C4—24no—
1597C4—22no—
1598C4—22no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—42no—
1605C4—41no—
1606C4—44no—
1607C4—41no—
1608C4—42no—
1609C4—41no—
1610C4—41no—
1611C4—42no—
1612C4—41no—
1613C4—41no—
1614C4—42no—
1615C4—41no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—41no—
1622C4—44no—
1623C4—41no—
1624C4—41no—
1625C4—42no—
1626C4#355414yes—
1627C4#356514yes—
1628C2—82no—
1629C2—82no—
1630C2—84no—
1631C2C2×#356511yescharacteristic
1632C2C2×#355411yescharacteristic
1633C2#6282711yescharacteristic
1634C2#6292311yescharacteristic
1635C2#6292611yescharacteristic
1636C2#6296611yescharacteristic
1637C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59680C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59646C2semidirect
3. #59640C2semidirect
4. #58674C2semidirect
5. #56504C2semidirect
6. #55357C2semidirect
7. #53127C2semidirect
8. #52995C2semidirect
9. #50045C2semidirect
10. #46345C2semidirect
11. #45711C2semidirect
12. #45379C2semidirect
13. #45096C2semidirect
14. #42757C2semidirect
15. #42742C2semidirect
16. #42734C2semidirect
17. #42538C2semidirect
18. #39866C2semidirect
19. #39771C2semidirect
20. #39763C2semidirect
21. #39182C2semidirect
22. #38977C2semidirect
23. #38964C2semidirect
24. #38237C2semidirect
25. #37711C2semidirect
26. #37629C2semidirect
27. #37360C2semidirect
28. #37336C2semidirect
29. #36573C2semidirect
30. #36312C2semidirect
31. #36132C2semidirect
32. #35198C2semidirect
33. #35197C2semidirect
34. #34951C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#596802
#596462
#596402
#586742
#565042
#553572
#531272
#529952
#500452
#463452
#457112
#453792
#450962
#427572
#427422
#427342
#425382
#398662
#397712
#397632
#391822
#389772
#389642
#382372
#377112
#376292
#373602
#373362
#365732
#363122
#361322
#351982
#351972
#349512
#349182