Finite Group Databasebeta

← #8464309

Subgroups — #8464309

Order 512.

4431 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#59457C211yesmaximal, characteristic, complemented
2#59258C211yesmaximal, characteristic, complemented
3#59211C211yesmaximal, characteristic, complemented
4#58312C214yesmaximal, complemented
5#57899C214yesmaximal, complemented
6#53904C214yesmaximal, complemented
7#53083C212yesmaximal, complemented
8#53061C212yesmaximal, complemented
9#51267C214yesmaximal, complemented
10#46049C212yesmaximal, complemented
11#46015C212yesmaximal, complemented
12#45239C212yesmaximal, complemented
13#45172C212yesmaximal, complemented
14#42798C212yesmaximal, complemented
15#42739C212yesmaximal, complemented
16#42718C212yesmaximal, complemented
17#42588C212yesmaximal, complemented
18#40131C212yesmaximal, complemented
19#39803C212yesmaximal, complemented
20#39374C212yesmaximal, complemented
21#39351C211yesmaximal, characteristic, complemented
22#39249C212yesmaximal, complemented
23#39148C211yesmaximal, characteristic, complemented
24#38964C211yesmaximal, characteristic, complemented
25#38942C211yesmaximal, characteristic, complemented
26#37624C211yesmaximal, characteristic, complemented
27#37355C212yesmaximal, complemented
28#37337C212yesmaximal, complemented
29#36460C211yesmaximal, characteristic, complemented
30#36447C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic, complemented
32#35198C211yesmaximal, characteristic, complemented
33#35192C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#542C2212yes—
38C2×#542C2212yes—
39#2864C2212yes—
40#2862C2212yes—
41#2860C2212yes—
42#2860C2212yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2858C2212yes—
46#2856C2211yescharacteristic
47#2856C2211yescharacteristic
48#2841C2214yes—
49#2831C2214yes—
50#2830C2214yes—
51#2829C2214yes—
52#2827C2214yes—
53#2826C2214yes—
54#2823C2214yes—
55#2819C2214yes—
56#2808C2214yes—
57#2798C2214yes—
58#2795C2214yes—
59#2795C2214yes—
60#2793C2214yes—
61#2786C2214yes—
62#2781C2214yes—
63#2780C2214yes—
64#2779C2214yes—
65#2775C2214yes—
66#2765C2214yes—
67#2764C2214yes—
68#2763C2214yes—
69#2756C2214yes—
70#2754C2214yes—
71#2751C2214yes—
72#2749C2214yes—
73#2746C2214yes—
74#2740C2214yes—
75#2737C2214yes—
76#2730C2214yes—
77#2728C2214yes—
78#2723C2214yes—
79#2723C2214yes—
80#2721C2214yes—
81#2721C2214yes—
82#2720C2214yes—
83#2715C2214yes—
84#2711C2214yes—
85#2711C2214yes—
86#2710C2214yes—
87#2710C2214yes—
88#2710C2214yes—
89#2707C2214yes—
90#2706C2214yes—
91#2704C2214yes—
92#2702C2214yes—
93#2700C2214yes—
94#2699C2214yes—
95#2698C2214yes—
96#2695C2214yes—
97#2691C2214yes—
98#2690C2214yes—
99#2689C2214yes—
100#2689C2214yes—
101#2688C2214yes—
102#2682C2214yes—
103#2681C2214yes—
104#2672C2214yes—
105#2666C2214yes—
106#2665C2214yes—
107#2662C2214yes—
108#2662C2214yes—
109#2660C2212yes—
110#2653C2214yes—
111#2649C2214yes—
112#2647C2212yes—
113#2644C2212yes—
114#2641C2212yes—
115#2639C2214yes—
116#2629C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2624C2212yes—
120#2620C2214yes—
121#2605C2214yes—
122#2601C2214yes—
123#2580C2212yes—
124#2580C2212yes—
125#2573C2212yes—
126#2573C2214yes—
127#2573C2212yes—
128#2571C2211yescharacteristic
129#2571C2211yescharacteristic
130#2571C2212yes—
131#2571C2211yescharacteristic
132#2571C2211yescharacteristic
133#2570C2212yes—
134#2570C2212yes—
135#2568C2211yescharacteristic
136#2567C2212yes—
137#2566C2212yes—
138#2566C2212yes—
139#2560C2214yes—
140#2559C2214yes—
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2551C2211yescharacteristic
145#2551C2211yescharacteristic
146#2550C2212yes—
147#2548C2211yescharacteristic
148#2547C2211yescharacteristic
149#2542C2212yes—
150#2541C2211yescharacteristic
151#2538C2211yescharacteristic
152#2538C2212yes—
153#2538C2211yescharacteristic
154#2537C2212yes—
155#2536C2212yes—
156#2535C2212yes—
157#2535C2212yes—
158#2531C2212yes—
159#2529C2212yes—
160#2526C2214yes—
161#2525C2214yes—
162#2521C2214yes—
163#2521C2214yes—
164#2518C2212yes—
165#2514C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2512C2212yes—
170#2512C2212yes—
171#2512C2211yescharacteristic
172#2512C2214yes—
173#2508C2212yes—
174#2508C2214yes—
175#2508C2212yes—
176#2507C2211yescharacteristic
177#2506C2214yes—
178#2506C2212yes—
179#2506C2212yes—
180#2504C2212yes—
181#2500C2212yes—
182#2500C2212yes—
183#2500C2212yes—
184#2500C2211yescharacteristic
185#2496C2212yes—
186#2495C2212yes—
187#2495C2211yescharacteristic
188#2494C2211yescharacteristic
189#2494C2211yescharacteristic
190#2493C2214yes—
191#2491C2212yes—
192#2491C2212yes—
193#2490C2212yes—
194#2490C2212yes—
195#2490C2211yescharacteristic
196#2490C2212yes—
197#2489C2214yes—
198#2488C2214yes—
199#2488C2214yes—
200#2485C2212yes—
201#2485C2212yes—
202#2485C2211yescharacteristic
203#2475C2214yes—
204#2474C2214yes—
205#2470C2214yes—
206#2467C2212yes—
207#2461C2214yes—
208#2454C2212yes—
209#2452C2212yes—
210#2452C2212yes—
211#2452C2212yes—
212#2452C2212yes—
213#2450C2214yes—
214#2448C2212yes—
215#2447C2212yes—
216#2445C2212yes—
217#2442C2212yes—
218#2441C2211yescharacteristic
219#2441C2212yes—
220#2440C2212yes—
221#2439C2212yes—
222#2439C2212yes—
223#2439C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2439C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2421C2212yes—
234#2421C2211yescharacteristic
235#2421C2211yescharacteristic
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2420C2212yes—
240#2420C2212yes—
241#2420C2212yes—
242#2416C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2211yescharacteristic
247#2401C2212yes—
248#2401C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2379C2214yes—
252#2366C2211yescharacteristic
253#2366C2211yescharacteristic
254#2363C2212yes—
255#2363C2212yes—
256#2363C2212yes—
257#2362C2212yes—
258#2357C2212yes—
259#2357C2212yes—
260#2354C2211yescharacteristic
261#2354C2212yes—
262#2351C2212yes—
263Q8×C4⋊C4C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266#2349C2212yes—
267#2349C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269#2347C2212yes—
270#2332C2214yes—
271#2331C2212yes—
272#2331C2212yes—
273#2328C2212yes—
274#2324C2212yes—
275#2319C2212yes—
276#2317C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#552—48no—
300#542—48no—
301#542—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379#401C2312yes—
380#401C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#399C2314yes—
400#399C2312yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#397C2314yes—
419#397C2312yes—
420#397C2314yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#392C2312yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2314yes—
697#384C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#383C2312yes—
706#383C2312yes—
707#383C2312yes—
708#383C2314yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2314yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#381C2312yes—
729#381C2314yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C4⋊Q8—42no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844#127—24no—
845#127—44no—
846#126—48no—
847#126—48no—
848#126—48no—
849#126—44no—
850#126—84no—
851#125—42no—
852#125—44no—
853#125—44no—
854#125—48no—
855#125—82no—
856#125—84no—
857#124—28no—
858#124—48no—
859#124—48no—
860#124—48no—
861#124—44no—
862#123—48no—
863#123—48no—
864#123—48no—
865C22⋊Q8—24no—
866C22⋊Q8—28no—
867C22⋊Q8—24no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—48no—
871C22⋊Q8—84no—
872C22⋊Q8—84no—
873#121—44no—
874#121—42no—
875#121—44no—
876#121—42no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—84no—
882#121—84no—
883#121—82no—
884#121—82no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—24no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—42no—
891C4×D4—24no—
892C4×D4—44no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—44no—
905#117—44no—
906#117—44no—
907#117—48no—
908#117—44no—
909#117—42no—
910#117—44no—
911#117—42no—
912#117—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2511yescharacteristic
1154C24C2511yescharacteristic
1155C24C2514yes—
1156C24C2512yes—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8H(5,𝔽2)14yes—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—44no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—44no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
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—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C42—22no—
1397C42—24no—
1398C42—24no—
1399C42—28no—
1400C42—24no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—22no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—24no—
1417C42—44no—
1418C42—42no—
1419C42—44no—
1420C42—42no—
1421C42—44no—
1422C42—42no—
1423C42—44no—
1424C42—41no—
1425C42—42no—
1426C42—42no—
1427C42—42no—
1428C422−1+414yes—
1429C23—21no—
1430C23—21no—
1431C23—24no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—24no—
1437C23—22no—
1438C23—24no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—22no—
1444C23—21no—
1445C23—24no—
1446C23—22no—
1447C23—24no—
1448C23—21no—
1449C23—24no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23C2611yescharacteristic
1458Q8—28no—
1459Q8—84no—
1460Q8—164no—
1461Q8—164no—
1462D4—44no—
1463D4—48no—
1464D4—44no—
1465D4—48no—
1466D4—84no—
1467D4—84no—
1468D4—84no—
1469D4—164no—
1470D4—164no—
1471D4—164no—
1472D4—164no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—24no—
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—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—48no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—82no—
1563C2×C4—82no—
1564C2×C4—88no—
1565C2×C4—164no—
1566C2×C4—164no—
1567C2×C4—164no—
1568C2×C4C2×H(5,𝔽2)14yes—
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—41no—
1578C22—41no—
1579C22—42no—
1580C22—44no—
1581C22—41no—
1582C22—41no—
1583C22—42no—
1584C22—44no—
1585C22—44no—
1586C22—42no—
1587C22—41no—
1588C22—41no—
1589C22—44no—
1590C22—41no—
1591C22—41no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—44no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—44no—
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22H(7,𝔽2)11yescharacteristic
1612C4—24no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—41no—
1617C4—42no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—41no—
1622C4—44no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—44no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—42no—
1639C4—44no—
1640C4—42no—
1641C4#355914yes—
1642C4#356514yes—
1643C2—81no—
1644C2—81no—
1645C2—82no—
1646C2—84no—
1647C2C2×#355911yescharacteristic
1648C2C2×#356511yescharacteristic
1649C2#6282711yescharacteristic
1650C2#6292311yescharacteristic
1651C2#6292911yescharacteristic
1652C2#6296611yescharacteristic
1653C2#6303511yescharacteristic
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. #59457C2semidirect
2. #59258C2semidirect
3. #59211C2semidirect
4. #58312C2semidirect
5. #57899C2semidirect
6. #53904C2semidirect
7. #53083C2semidirect
8. #53061C2semidirect
9. #51267C2semidirect
10. #46049C2semidirect
11. #46015C2semidirect
12. #45239C2semidirect
13. #45172C2semidirect
14. #42798C2semidirect
15. #42739C2semidirect
16. #42718C2semidirect
17. #42588C2semidirect
18. #40131C2semidirect
19. #39803C2semidirect
20. #39374C2semidirect
21. #39351C2semidirect
22. #39249C2semidirect
23. #39148C2semidirect
24. #38964C2semidirect
25. #38942C2semidirect
26. #37624C2semidirect
27. #37355C2semidirect
28. #37337C2semidirect
29. #36460C2semidirect
30. #36447C2semidirect
31. #36211C2semidirect
32. #35198C2semidirect
33. #35192C2semidirect
34. #34945C2semidirect
35. #34797C2semidirect

Maximal subgroups

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

subgroupindex
#594572
#592582
#592112
#583122
#578992
#539042
#530832
#530612
#512672
#460492
#460152
#452392
#451722
#427982
#427392
#427182
#425882
#401312
#398032
#393742
#393512
#392492
#391482
#389642
#389422
#376242
#373552
#373372
#364602
#364472
#362112
#351982
#351922
#349452
#347972