Finite Group Databasebeta

← #8425257

Subgroups — #8425257

Order 512.

4443 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#59717C212yesmaximal, complemented
2#59465C211yesmaximal, characteristic, complemented
3#59244C211yesmaximal, characteristic, complemented
4#59211C211yesmaximal, characteristic, complemented
5#59118C212yesmaximal, complemented
6#58432C214yesmaximal, complemented
7#57728C214yesmaximal, complemented
8#53084C212yesmaximal, complemented
9#53071C212yesmaximal, complemented
10#53062C212yesmaximal, complemented
11#52997C212yesmaximal, complemented
12#52391C214yesmaximal, complemented
13#42899C212yesmaximal, complemented
14#42882C212yesmaximal, complemented
15#42768C212yesmaximal, complemented
16#42530C212yesmaximal, complemented
17#40583C214yesmaximal, complemented
18#39735C211yesmaximal, characteristic, complemented
19#39533C212yesmaximal, complemented
20#39529C212yesmaximal, complemented
21#39351C211yesmaximal, characteristic, complemented
22#39147C211yesmaximal, characteristic, complemented
23#38942C211yesmaximal, characteristic, complemented
24#38272C212yesmaximal, complemented
25#37766C212yesmaximal, complemented
26#37624C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37591C212yesmaximal, complemented
29#37511C212yesmaximal, complemented
30#36447C211yesmaximal, characteristic, complemented
31#36407C211yesmaximal, characteristic, complemented
32#36211C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34898C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#542C2212yes—
38C2×#529C2212yes—
39#2859C2211yescharacteristic
40#2859C2212yes—
41#2857C2212yes—
42#2856C2211yescharacteristic
43#2856C2211yescharacteristic
44#2841C2214yes—
45#2841C2214yes—
46#2837C2214yes—
47#2837C2214yes—
48#2832C2214yes—
49#2831C2214yes—
50#2830C2214yes—
51#2829C2214yes—
52#2829C2214yes—
53#2827C2214yes—
54#2824C2214yes—
55#2819C2214yes—
56#2814C2214yes—
57#2813C2214yes—
58#2800C2214yes—
59#2796C2214yes—
60#2784C2214yes—
61#2781C2214yes—
62#2779C2214yes—
63#2771C2214yes—
64#2770C2214yes—
65#2759C2214yes—
66#2757C2214yes—
67#2757C2214yes—
68#2756C2214yes—
69#2753C2214yes—
70#2747C2214yes—
71#2744C2214yes—
72#2739C2214yes—
73#2728C2214yes—
74#2723C2214yes—
75#2722C2214yes—
76#2718C2214yes—
77#2718C2214yes—
78#2715C2214yes—
79#2711C2214yes—
80#2710C2214yes—
81#2707C2214yes—
82#2705C2214yes—
83#2705C2214yes—
84#2703C2214yes—
85#2702C2214yes—
86#2702C2214yes—
87#2701C2214yes—
88#2699C2214yes—
89#2696C2214yes—
90#2694C2214yes—
91#2690C2214yes—
92#2680C2214yes—
93#2672C2214yes—
94#2672C2214yes—
95#2666C2214yes—
96#2666C2214yes—
97#2662C2214yes—
98#2660C2212yes—
99#2660C2212yes—
100#2654C2214yes—
101#2651C2214yes—
102#2651C2214yes—
103#2650C2214yes—
104#2647C2212yes—
105#2647C2212yes—
106#2644C2212yes—
107#2641C2212yes—
108#2638C2214yes—
109#2637C2214yes—
110#2636C2214yes—
111#2630C2214yes—
112#2629C2212yes—
113#2629C2212yes—
114#2628C2212yes—
115#2628C2212yes—
116#2624C2212yes—
117#2619C2212yes—
118#2594C2214yes—
119#2592C2214yes—
120#2578C2212yes—
121#2577C2212yes—
122#2576C2212yes—
123#2575C2212yes—
124#2575C2214yes—
125#2574C2214yes—
126#2571C2212yes—
127#2571C2211yescharacteristic
128#2571C2211yescharacteristic
129#2570C2211yescharacteristic
130#2570C2212yes—
131#2570C2212yes—
132#2570C2211yescharacteristic
133#2570C2212yes—
134#2566C2211yescharacteristic
135#2566C2212yes—
136#2565C2211yescharacteristic
137#2564C2214yes—
138#2563C2212yes—
139#2563C2212yes—
140#2562C2211yescharacteristic
141#2562C2211yescharacteristic
142#2560C2214yes—
143#2556C2214yes—
144#2554C2214yes—
145#2552C2212yes—
146#2552C2211yescharacteristic
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2551C2211yescharacteristic
150#2551C2211yescharacteristic
151#2550C2212yes—
152#2550C2212yes—
153#2548C2211yescharacteristic
154#2542C2212yes—
155#2541C2211yescharacteristic
156#2538C2211yescharacteristic
157#2537C2212yes—
158#2536C2212yes—
159#2536C2211yescharacteristic
160#2535C2212yes—
161#2535C2211yescharacteristic
162#2535C2212yes—
163#2525C2214yes—
164#2524C2212yes—
165#2523C2214yes—
166#2515C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2512C2214yes—
175#2512C2212yes—
176#2508C2212yes—
177#2508C2214yes—
178#2506C2214yes—
179#2506C2212yes—
180#2500C2212yes—
181#2500C2212yes—
182#2500C2212yes—
183#2497C2211yescharacteristic
184#2496C2212yes—
185#2496C2211yescharacteristic
186#2495C2212yes—
187#2495C2211yescharacteristic
188#2494C2211yescharacteristic
189#2491C2212yes—
190#2491C2212yes—
191#2490C2212yes—
192#2490C2212yes—
193#2490C2212yes—
194#2490C2212yes—
195#2490C2212yes—
196#2488C2214yes—
197#2485C2212yes—
198#2485C2212yes—
199#2479C2214yes—
200#2474C2214yes—
201#2469C2214yes—
202#2469C2214yes—
203#2468C2212yes—
204#2468C2214yes—
205#2466C2214yes—
206#2461C2214yes—
207#2457C2212yes—
208#2454C2212yes—
209#2454C2212yes—
210#2454C2212yes—
211#2452C2212yes—
212#2452C2212yes—
213#2452C2212yes—
214#2452C2212yes—
215#2448C2212yes—
216#2445C2212yes—
217#2445C2212yes—
218#2441C2212yes—
219#2441C2212yes—
220#2441C2212yes—
221#2439C2212yes—
222#2439C2212yes—
223#2439C2212yes—
224#2439C2212yes—
225#2438C2214yes—
226#2428C2212yes—
227#2426C2212yes—
228#2426C2212yes—
229#2425C2214yes—
230#2423C2211yescharacteristic
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2422C2212yes—
235#2422C2211yescharacteristic
236#2421C2211yescharacteristic
237#2421C2212yes—
238#2420C2212yes—
239#2420C2211yescharacteristic
240#2420C2212yes—
241#2420C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2402C2212yes—
247#2401C2212yes—
248#2395C2212yes—
249#2392C2212yes—
250#2392C2214yes—
251#2370C2212yes—
252#2369C2212yes—
253#2366C2211yescharacteristic
254#2366C2211yescharacteristic
255#2365C2212yes—
256#2363C2212yes—
257#2363C2212yes—
258#2362C2214yes—
259#2362C2212yes—
260#2357C2212yes—
261#2354C2211yescharacteristic
262#2354C2211yescharacteristic
263#2351C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265Q8×C4⋊C4C2211yescharacteristic
266Q8×C4⋊C4C2212yes—
267#2349C2212yes—
268#2349C2212yes—
269#2347C2212yes—
270#2326C2212yes—
271#2324C2212yes—
272#2319C2212yes—
273#2318C2214yes—
274C4×#127C2211yescharacteristic
275C4×#127C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2211yescharacteristic
279C4×#126C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286#2298C2212yes—
287#2296C2212yes—
288#2293C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#556—48no—
300#542—48no—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×#127C2311yescharacteristic
306C2×#127C2312yes—
307#529—48no—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
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×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2314yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2312yes—
379#401C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2312yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#397C2314yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
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#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2314yes—
701#383C2312yes—
702#383C2312yes—
703#383C2312yes—
704#383C2314yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#382C2311yescharacteristic
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#381C2312yes—
723#381C2314yes—
724#381C2312yes—
725#381C2314yes—
726#381C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2414yes—
815C22×Q8C2414yes—
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2414yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843#127—24no—
844#127—44no—
845#126—44no—
846#126—48no—
847#126—48no—
848#126—48no—
849#126—48no—
850#125—44no—
851#125—42no—
852#125—42no—
853#125—44no—
854#125—44no—
855#125—82no—
856#125—84no—
857#124—28no—
858#124—48no—
859#124—48no—
860#123—48no—
861#123—48no—
862#123—44no—
863#123—84no—
864#123—84no—
865C22⋊Q8—28no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—48no—
869C22⋊Q8—48no—
870C22⋊Q8—84no—
871C22⋊Q8—84no—
872#121—44no—
873#121—44no—
874#121—42no—
875#121—44no—
876#121—44no—
877#121—42no—
878#121—44no—
879#121—44no—
880#121—84no—
881#121—82no—
882#121—82no—
883C4×Q8—24no—
884C4×Q8—28no—
885C4×Q8—24no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×D4—24no—
890C4×D4—42no—
891C4×D4—48no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—42no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—48no—
904C4×D4—42no—
905C4×D4—44no—
906#117—44no—
907#117—44no—
908#117—48no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—44no—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42—44no—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2411yescharacteristic
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
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—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8H(5,𝔽2)14yes—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—44no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
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×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—28no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—44no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
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—
1396C22⋊C4—42no—
1397C42—22no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—28no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—24no—
1416C42—22no—
1417C42—24no—
1418C42—42no—
1419C42—42no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—44no—
1425C42—42no—
1426C42—41no—
1427C42—42no—
1428C422−1+414yes—
1429C23—21no—
1430C23—21no—
1431C23—24no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—24no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—24no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—24no—
1446C23—24no—
1447C23—22no—
1448C23—24no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—22no—
1454C23—21no—
1455C23—24no—
1456C23—21no—
1457C23C2611yescharacteristic
1458Q8—28no—
1459Q8—88no—
1460Q8—164no—
1461D4—44no—
1462D4—48no—
1463D4—44no—
1464D4—48no—
1465D4—84no—
1466D4—88no—
1467D4—84no—
1468D4—88no—
1469D4—84no—
1470D4—164no—
1471D4—164no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—48no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—84no—
1562C2×C4—88no—
1563C2×C4—82no—
1564C2×C4—82no—
1565C2×C4—84no—
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—41no—
1586C22—41no—
1587C22—42no—
1588C22—44no—
1589C22—42no—
1590C22—44no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—44no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—44no—
1600C22—42no—
1601C22—44no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
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—42no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—44no—
1626C4—42no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—44no—
1634C4—42no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4#355914yes—
1642C4#356514yes—
1643C2—81no—
1644C2—81no—
1645C2—82no—
1646C2—84no—
1647C2C2×#355911yescharacteristic
1648C2C2×#356511yescharacteristic
1649C2#6276211yescharacteristic
1650C2#6292311yescharacteristic
1651C2#6292911yescharacteristic
1652C2#6296611yescharacteristic
1653C2#6301911yescharacteristic
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. #59717C2semidirect
2. #59465C2semidirect
3. #59244C2semidirect
4. #59211C2semidirect
5. #59118C2semidirect
6. #58432C2semidirect
7. #57728C2semidirect
8. #53084C2semidirect
9. #53071C2semidirect
10. #53062C2semidirect
11. #52997C2semidirect
12. #52391C2semidirect
13. #42899C2semidirect
14. #42882C2semidirect
15. #42768C2semidirect
16. #42530C2semidirect
17. #40583C2semidirect
18. #39735C2semidirect
19. #39533C2semidirect
20. #39529C2semidirect
21. #39351C2semidirect
22. #39147C2semidirect
23. #38942C2semidirect
24. #38272C2semidirect
25. #37766C2semidirect
26. #37624C2semidirect
27. #37624C2semidirect
28. #37591C2semidirect
29. #37511C2semidirect
30. #36447C2semidirect
31. #36407C2semidirect
32. #36211C2semidirect
33. #34934C2semidirect
34. #34917C2semidirect
35. #34898C2semidirect

Maximal subgroups

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

subgroupindex
#597172
#594652
#592442
#592112
#591182
#584322
#577282
#530842
#530712
#530622
#529972
#523912
#428992
#428822
#427682
#425302
#405832
#397352
#395332
#395292
#393512
#391472
#389422
#382722
#377662
#376242
#375912
#375112
#364472
#364072
#362112
#349342
#349172
#348982