Finite Group Databasebeta

← #8467117

Subgroups — #8467117

Order 512.

4299 conjugacy classes of subgroups.

The subgroup lattice has 1571 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59924C211yesmaximal, characteristic, complemented
2#59667C211yesmaximal, characteristic, complemented
3#59458C211yesmaximal, characteristic
4#58038C214yesmaximal, complemented
5#55326C214yesmaximal, complemented
6#54283C214yesmaximal, complemented
7#53118C212yesmaximal, complemented
8#53113C212yesmaximal, complemented
9#49706C214yesmaximal, complemented
10#46343C212yesmaximal, complemented
11#46343C212yesmaximal, complemented
12#45424C212yesmaximal, complemented
13#45008C212yesmaximal, complemented
14#42884C212yesmaximal, complemented
15#42700C212yesmaximal, complemented
16#42614C212yesmaximal, complemented
17#42582C212yesmaximal, complemented
18#39771C211yesmaximal, characteristic
19#39643C211yesmaximal, characteristic, complemented
20#39490C212yesmaximal, complemented
21#38986C211yesmaximal, characteristic, complemented
22#38985C211yesmaximal, characteristic
23#38964C212yesmaximal, complemented
24#38240C212yesmaximal, complemented
25#38236C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic
27#37352C212yesmaximal, complemented
28#37337C212yesmaximal, complemented
29#36609C211yesmaximal, characteristic
30#36300C211yesmaximal, characteristic
31#36271C211yesmaximal, characteristic
32#35208C211yesmaximal, characteristic, complemented
33#35199C211yesmaximal, characteristic, complemented
34#34951C211yesmaximal, characteristic, complemented
35#34950C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#556C2212yes—
38C2×#554C2212yes—
39#2863C2212yes—
40#2863C2212yes—
41#2862C2211yescharacteristic
42#2862C2212yes—
43#2860C2212yes—
44#2860C2212yes—
45#2859C2212yes—
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2838C2214yes—
49#2838C2214yes—
50#2838C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2830C2214yes—
54#2821C2214yes—
55#2817C2214yes—
56#2811C2214yes—
57#2799C2214yes—
58#2798C2214yes—
59#2796C2214yes—
60#2793C2214yes—
61#2789C2214yes—
62#2783C2214yes—
63#2777C2214yes—
64#2775C2214yes—
65#2772C2214yes—
66#2765C2214yes—
67#2764C2214yes—
68#2764C2214yes—
69#2763C2214yes—
70#2763C2214yes—
71#2759C2214yes—
72#2759C2214yes—
73#2759C2214yes—
74#2758C2214yes—
75#2755C2214yes—
76#2754C2214yes—
77#2751C2214yes—
78#2745C2214yes—
79#2729C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2721C2214yes—
83#2720C2214yes—
84#2720C2214yes—
85#2720C2214yes—
86#2716C2214yes—
87#2716C2214yes—
88#2716C2214yes—
89#2715C2214yes—
90#2713C2214yes—
91#2704C2214yes—
92#2704C2214yes—
93#2700C2214yes—
94#2698C2214yes—
95#2692C2214yes—
96#2690C2214yes—
97#2690C2214yes—
98#2690C2214yes—
99#2689C2214yes—
100#2689C2214yes—
101#2689C2214yes—
102#2689C2214yes—
103#2689C2214yes—
104#2677C2214yes—
105#2666C2214yes—
106#2666C2214yes—
107#2652C2214yes—
108#2650C2214yes—
109#2647C2212yes—
110#2645C2212yes—
111#2644C2212yes—
112#2644C2212yes—
113#2644C2212yes—
114#2640C2212yes—
115#2640C2212yes—
116#2640C2212yes—
117#2638C2214yes—
118#2637C2214yes—
119#2628C2214yes—
120#2621C2214yes—
121#2601C2214yes—
122#2599C2214yes—
123#2592C2212yes—
124#2592C2212yes—
125#2592C2212yes—
126#2592C2212yes—
127#2592C2212yes—
128#2586C2212yes—
129#2586C2212yes—
130#2585C2212yes—
131#2585C2212yes—
132#2582C2211yescharacteristic
133#2582C2212yes—
134#2582C2211yescharacteristic
135#2582C2211yescharacteristic
136#2581C2212yes—
137#2580C2212yes—
138#2580C2212yes—
139#2580C2212yes—
140#2577C2214yes—
141#2571C2212yes—
142#2570C2212yes—
143#2568C2212yes—
144#2568C2211yescharacteristic
145#2568C2211yescharacteristic
146#2567C2212yes—
147#2567C2212yes—
148#2567C2214yes—
149#2567C2212yes—
150#2567C2212yes—
151#2567C2211yescharacteristic
152#2567C2211yescharacteristic
153#2567C2211yescharacteristic
154#2567C2211yescharacteristic
155#2560C2214yes—
156#2552C2211yescharacteristic
157#2552C2211yescharacteristic
158#2551C2211yescharacteristic
159#2551C2212yes—
160#2551C2211yescharacteristic
161#2551C2212yes—
162#2551C2212yes—
163#2551C2211yescharacteristic
164#2548C2211yescharacteristic
165#2548C2211yescharacteristic
166#2546C2211yescharacteristic
167#2546C2211yescharacteristic
168#2545C2212yes—
169#2542C2212yes—
170#2538C2212yes—
171#2523C2214yes—
172#2521C2214yes—
173#2520C2214yes—
174#2515C2214yes—
175#2514C2212yes—
176#2514C2212yes—
177#2514C2212yes—
178#2513C2212yes—
179#2513C2212yes—
180#2513C2212yes—
181#2513C2212yes—
182#2512C2212yes—
183#2512C2212yes—
184#2512C2212yes—
185#2512C2212yes—
186#2511C2212yes—
187#2511C2212yes—
188#2511C2212yes—
189#2509C2211yescharacteristic
190#2509C2212yes—
191#2509C2211yescharacteristic
192#2508C2212yes—
193#2508C2212yes—
194#2507C2212yes—
195#2507C2212yes—
196#2507C2211yescharacteristic
197#2507C2211yescharacteristic
198#2506C2212yes—
199#2506C2212yes—
200#2506C2212yes—
201#2503C2214yes—
202#2499C2214yes—
203#2478C2214yes—
204#2474C2214yes—
205#2473C2214yes—
206#2465C2214yes—
207#2462C2214yes—
208#2462C2214yes—
209#2454C2212yes—
210#2454C2212yes—
211#2453C2212yes—
212#2453C2211yescharacteristic
213#2453C2212yes—
214#2453C2212yes—
215#2453C2211yescharacteristic
216#2452C2212yes—
217#2452C2212yes—
218#2452C2212yes—
219#2452C2212yes—
220#2452C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2451C2212yes—
224#2451C2212yes—
225#2451C2211yescharacteristic
226#2451C2212yes—
227#2451C2212yes—
228#2451C2211yescharacteristic
229#2449C2214yes—
230#2448C2212yes—
231#2448C2212yes—
232#2448C2212yes—
233#2448C2212yes—
234#2447C2212yes—
235#2447C2212yes—
236#2447C2212yes—
237#2447C2212yes—
238#2447C2212yes—
239#2447C2212yes—
240#2447C2212yes—
241#2446C2212yes—
242#2446C2212yes—
243#2446C2212yes—
244#2440C2214yes—
245#2439C2214yes—
246#2429C2214yes—
247#2402C2212yes—
248#2402C2212yes—
249#2399C2212yes—
250#2399C2212yes—
251#2383C2214yes—
252#2369C2211yescharacteristic
253#2369C2212yes—
254#2369C2212yes—
255#2369C2211yescharacteristic
256#2367C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2367C2212yes—
260#2366C2211yescharacteristic
261#2366C2211yescharacteristic
262#2365C2211yescharacteristic
263#2365C2211yescharacteristic
264#2365C2212yes—
265#2357C2212yes—
266#2354C2212yes—
267D4×C4⋊C4C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2330C2212yes—
271#2326C2212yes—
272#2320C2212yes—
273#2320C2212yes—
274#2320C2212yes—
275#2319C2212yes—
276#2317C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×#127C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2295C2212yes—
293#2295C2211yescharacteristic
294#2293C2212yes—
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×Q8C2211yescharacteristic
299#557—48no—
300#556—48no—
301#554—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×#127C2311yescharacteristic
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×#117C2314yes—
367C2×#117C2314yes—
368C22×C4⋊C4C2314yes—
369#401C2314yes—
370#401C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#395C2312yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2312yes—
471#395C2312yes—
472#395C2312yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2312yes—
479#395C2314yes—
480#395C2312yes—
481#395C2312yes—
482#395C2312yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2314yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2312yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#388C2314yes—
633#388C2314yes—
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#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#386C2314yes—
705#386C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2314yes—
728#384C2314yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#383C2314yes—
733#383C2314yes—
734#383C2314yes—
735#383C2314yes—
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2314yes—
740#382C2312yes—
741#382C2314yes—
742#382C2312yes—
743#382C2314yes—
744#382C2314yes—
745#382C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4C2412yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4C2414yes—
828C23×C4C2414yes—
829C23×C4C2414yes—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—48no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—84no—
845#127—24no—
846#126—48no—
847#126—48no—
848#126—48no—
849#126—84no—
850#125—24no—
851#125—28no—
852#125—24no—
853#125—48no—
854#125—48no—
855#125—84no—
856#124—28no—
857#124—44no—
858#124—44no—
859#124—44no—
860#124—44no—
861#124—82no—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—84no—
867C22⋊Q8—84no—
868C22⋊Q8—84no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—48no—
882C4×Q8—42no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—82no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—82no—
894#117—48no—
895#117—48no—
896C2×C4⋊C4—48no—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
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×C4⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2411yescharacteristic
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2514yes—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—41no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—44no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2514yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—24no—
1230C4⋊C4—28no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—41no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4H(5,𝔽2)14yes—
1320C4⋊C42−1+414yes—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C42—24no—
1347C42—28no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—24no—
1353C42—22no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—22no—
1366C42—24no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—24no—
1371C42—44no—
1372C42—41no—
1373C42—42no—
1374C42—41no—
1375C42—41no—
1376C42—44no—
1377C42—44no—
1378C42—41no—
1379C42—44no—
1380C42—41no—
1381C42—42no—
1382C42—44no—
1383C42—42no—
1384C42—42no—
1385C422−1+414yes—
1386C422−1+414yes—
1387C23—24no—
1388C23—24no—
1389C23—24no—
1390C23—24no—
1391C23—24no—
1392C23—24no—
1393C23—24no—
1394C23C2611yescharacteristic
1395Q8—44no—
1396Q8—48no—
1397Q8—44no—
1398Q8—44no—
1399Q8—84no—
1400Q8—84no—
1401Q8—84no—
1402Q8—84no—
1403Q8—84no—
1404Q8—88no—
1405Q8—164no—
1406D4—48no—
1407D4—48no—
1408D4—84no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—24no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—416no—
1500C2×C4—164no—
1501C2×C4—164no—
1502C2×C4C2×H(5,𝔽2)14yes—
1503C2×C4C2×H(5,𝔽2)12yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+414yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4#58512yes—
1513C2×C4#58512yes—
1514C22—44no—
1515C22—44no—
1516C22—44no—
1517C22—44no—
1518C22—44no—
1519C22—44no—
1520C22—44no—
1521C22C22×H(5,𝔽2)11yescharacteristic
1522C22C22×2−1+411yescharacteristic
1523C22C22×2−1+411yescharacteristic
1524C22C22×2−1+411yescharacteristic
1525C22C2×#58511yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22H(7,𝔽2)11yescharacteristic
1528C4—24no—
1529C4—24no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—41no—
1540C4—44no—
1541C4—42no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—41no—
1546C4—41no—
1547C4—42no—
1548C4—42no—
1549C4—44no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—41no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—42no—
1559C4—44no—
1560C4#355014yes—
1561C4#355514yes—
1562C2—84no—
1563C2C2×#355511yescharacteristic
1564C2C2×#355011yescharacteristic
1565C2#6283111yescharacteristic
1566C2#6292311yescharacteristic
1567C2#6294311yescharacteristic
1568C2#6296211yescharacteristic
1569C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59924C2semidirect
2. #59667C2semidirect
4. #58038C2semidirect
5. #55326C2semidirect
6. #54283C2semidirect
7. #53118C2semidirect
8. #53113C2semidirect
9. #49706C2semidirect
10. #46343C2semidirect
11. #46343C2semidirect
12. #45424C2semidirect
13. #45008C2semidirect
14. #42884C2semidirect
15. #42700C2semidirect
16. #42614C2semidirect
17. #42582C2semidirect
19. #39643C2semidirect
20. #39490C2semidirect
21. #38986C2semidirect
23. #38964C2semidirect
24. #38240C2semidirect
25. #38236C2semidirect
27. #37352C2semidirect
28. #37337C2semidirect
32. #35208C2semidirect
33. #35199C2semidirect
34. #34951C2semidirect
35. #34950C2semidirect

Maximal subgroups

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

subgroupindex
#599242
#596672
#594582
#580382
#553262
#542832
#531182
#531132
#497062
#463432
#454242
#450082
#428842
#427002
#426142
#425822
#397712
#396432
#394902
#389862
#389852
#389642
#382402
#382362
#376292
#373522
#373372
#366092
#363002
#362712
#352082
#351992
#349512
#349502