Finite Group Databasebeta

← #7878788

Subgroups — #7878788

Order 512.

4864 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59856C212yesmaximal, complemented
2#59683C212yesmaximal, complemented
3#59678C211yesmaximal, characteristic, complemented
4#59312C211yesmaximal, characteristic, complemented
5#59219C211yesmaximal, characteristic, complemented
6#51461C214yesmaximal, complemented
7#48191C214yesmaximal, complemented
8#46564C214yesmaximal, complemented
9#45224C212yesmaximal, complemented
10#45069C212yesmaximal, complemented
11#44916C212yesmaximal, complemented
12#44916C212yesmaximal, complemented
13#44427C214yesmaximal, complemented
14#42993C212yesmaximal, complemented
15#42603C212yesmaximal, complemented
16#40011C212yesmaximal, complemented
17#39737C211yesmaximal, characteristic, complemented
18#39653C212yesmaximal, complemented
19#39468C211yesmaximal, characteristic, complemented
20#39468C211yesmaximal, characteristic, complemented
21#39463C212yesmaximal, complemented
22#39280C212yesmaximal, complemented
23#38975C211yesmaximal, characteristic, complemented
24#36449C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36189C211yesmaximal, characteristic, complemented
27#35880C212yesmaximal, complemented
28#35758C212yesmaximal, complemented
29#35593C212yesmaximal, complemented
30#35517C212yesmaximal, complemented
31#34925C211yesmaximal, characteristic
32#34793C211yesmaximal, characteristic, complemented
33#34368C211yesmaximal, characteristic, complemented
34#34324C211yesmaximal, characteristic, complemented
35#34207C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#552C2212yes—
38C2×#532C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#532C2212yes—
41C2×#520C2212yes—
42#2863C2212yes—
43#2859C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2829C2214yes—
48#2802C2214yes—
49#2796C2214yes—
50#2796C2214yes—
51#2787C2214yes—
52#2786C2214yes—
53#2786C2214yes—
54#2780C2214yes—
55#2779C2214yes—
56#2772C2214yes—
57#2765C2214yes—
58#2761C2214yes—
59#2757C2214yes—
60#2756C2214yes—
61#2755C2214yes—
62#2755C2214yes—
63#2753C2214yes—
64#2746C2214yes—
65#2746C2214yes—
66#2741C2214yes—
67#2741C2214yes—
68#2721C2214yes—
69#2715C2214yes—
70#2715C2214yes—
71#2713C2214yes—
72#2711C2214yes—
73#2711C2214yes—
74#2709C2214yes—
75#2708C2214yes—
76#2707C2214yes—
77#2706C2214yes—
78#2706C2214yes—
79#2691C2214yes—
80#2691C2214yes—
81#2666C2214yes—
82#2651C2214yes—
83#2650C2214yes—
84#2644C2212yes—
85#2630C2214yes—
86#2620C2212yes—
87#2616C2212yes—
88#2616C2212yes—
89#2602C2214yes—
90#2602C2214yes—
91#2602C2214yes—
92#2597C2214yes—
93#2596C2214yes—
94#2594C2214yes—
95#2593C2214yes—
96#2587C2214yes—
97#2579C2214yes—
98#2578C2214yes—
99#2571C2211yescharacteristic
100#2570C2212yes—
101#2569C2214yes—
102#2562C2212yes—
103#2562C2212yes—
104#2559C2214yes—
105#2555C2212yes—
106#2555C2212yes—
107#2552C2211yescharacteristic
108#2552C2212yes—
109#2551C2211yescharacteristic
110#2547C2211yescharacteristic
111#2547C2211yescharacteristic
112#2544C2212yes—
113#2544C2212yes—
114#2544C2212yes—
115#2541C2211yescharacteristic
116#2541C2211yescharacteristic
117#2538C2211yescharacteristic
118#2538C2211yescharacteristic
119#2537C2211yescharacteristic
120#2536C2212yes—
121#2530C2214yes—
122#2530C2212yes—
123#2528C2212yes—
124#2527C2214yes—
125#2527C2214yes—
126#2526C2214yes—
127#2526C2214yes—
128#2522C2214yes—
129#2521C2214yes—
130#2517C2212yes—
131#2512C2212yes—
132#2511C2212yes—
133#2511C2212yes—
134#2511C2212yes—
135#2511C2211yescharacteristic
136#2509C2212yes—
137#2507C2212yes—
138#2507C2212yes—
139#2507C2212yes—
140#2507C2212yes—
141#2506C2211yescharacteristic
142#2505C2214yes—
143#2501C2212yes—
144#2499C2211yescharacteristic
145#2497C2212yes—
146#2497C2212yes—
147#2495C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2494C2211yescharacteristic
151#2491C2212yes—
152#2491C2211yescharacteristic
153#2491C2211yescharacteristic
154#2489C2211yescharacteristic
155#2487C2214yes—
156#2487C2212yes—
157#2487C2212yes—
158#2486C2212yes—
159#2486C2212yes—
160#2486C2212yes—
161#2485C2212yes—
162#2485C2212yes—
163#2485C2212yes—
164#2485C2212yes—
165#2485C2212yes—
166#2485C2214yes—
167#2485C2212yes—
168#2485C2211yescharacteristic
169#2476C2214yes—
170#2474C2214yes—
171#2473C2214yes—
172#2470C2214yes—
173#2469C2214yes—
174#2467C2214yes—
175#2462C2214yes—
176#2460C2214yes—
177#2460C2212yes—
178#2457C2214yes—
179#2457C2214yes—
180#2451C2212yes—
181#2451C2212yes—
182#2448C2212yes—
183#2448C2214yes—
184#2448C2212yes—
185#2447C2214yes—
186#2446C2214yes—
187#2445C2212yes—
188#2445C2214yes—
189#2444C2214yes—
190#2444C2214yes—
191#2443C2214yes—
192#2443C2214yes—
193#2442C2212yes—
194#2442C2212yes—
195#2442C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2441C2211yescharacteristic
200#2428C2211yescharacteristic
201#2428C2211yescharacteristic
202#2428C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2422C2212yes—
211#2421C2212yes—
212#2417C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2415C2211yescharacteristic
217#2415C2212yes—
218#2413C2214yes—
219#2401C2212yes—
220#2395C2214yes—
221#2395C2212yes—
222#2388C2212yes—
223#2388C2212yes—
224#2379C2214yes—
225#2373C2214yes—
226#2369C2212yes—
227#2367C2212yes—
228#2367C2212yes—
229#2366C2212yes—
230#2365C2211yescharacteristic
231#2364C2214yes—
232#2362C2212yes—
233#2361C2212yes—
234#2361C2212yes—
235#2361C2214yes—
236#2360C2212yes—
237#2360C2212yes—
238#2357C2212yes—
239#2355C2212yes—
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yes—
245#2352C2212yes—
246#2352C2212yes—
247#2352C2212yes—
248Q8×C4⋊C4C2211yescharacteristic
249#2349C2212yes—
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254D4×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2212yes—
256D4×C4⋊C4C2212yes—
257#2346C2212yes—
258#2345C2212yes—
259#2345C2212yes—
260#2344C2212yes—
261#2336C2214yes—
262#2334C2214yes—
263#2326C2214yes—
264#2326C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2214yes—
268#2323C2212yes—
269#2319C2212yes—
270#2311C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274#2311C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2212yes—
279C4×#125C2211yescharacteristic
280C4×#125C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288#2298C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291C2×#389C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2276C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—28no—
302#552—48no—
303#532—28no—
304#532—28no—
305#532—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352#520—48no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2314yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402#401C2314yes—
403#401C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2312yes—
471#395C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#393C2312yes—
497#393C2312yes—
498#392C2312yes—
499#392C2312yes—
500#392C2312yes—
501#392C2312yes—
502#392C2312yes—
503#392C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2311yescharacteristic
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2311yescharacteristic
711#383C2314yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2314yes—
756#380C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862#127—24no—
863#127—24no—
864#127—42no—
865#127—44no—
866#126—216no—
867#126—48no—
868#125—28no—
869#125—42no—
870#125—44no—
871#125—48no—
872#125—82no—
873#124—28no—
874#124—28no—
875#124—28no—
876#124—44no—
877#124—44no—
878#124—44no—
879#124—44no—
880#123—48no—
881#123—84no—
882#123—84no—
883#123—84no—
884C22⋊Q8—28no—
885C22⋊Q8—24no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—42no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891#121—24no—
892#121—24no—
893#121—24no—
894#121—24no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—42no—
903#121—42no—
904C4×Q8—28no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—48no—
909C4×Q8—44no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—48no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—48no—
930C4×D4—84no—
931C4×D4—84no—
932C4×D4#4118yes—
933#117—28no—
934#117—24no—
935#117—44no—
936#117—48no—
937#117—42no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—82no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—84no—
949C2×C4⋊C4—82no—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180C24C2512yes—
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—432no—
1186#41—816no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—22no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—41no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4C2×#4114yes—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—28no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4C2×#4118yes—
1294C22×C4H(5,𝔽2)14yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2514yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—41no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4C2×#4114yes—
1393C4⋊C42−1+414yes—
1394C22⋊C4—28no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4C2×#4118yes—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—28no—
1459C42—24no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—42no—
1472C42—42no—
1473C42—42no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42—44no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—41no—
1483C42C2×#4114yes—
1484C23—21no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—22no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—22no—
1516C23—22no—
1517C23C22×#4114yes—
1518C23C2×H(5,𝔽2)12yes—
1519C23C2611yescharacteristic
1520Q8—48no—
1521Q8—48no—
1522Q8—44no—
1523Q8—84no—
1524D4—28no—
1525D4—48no—
1526D4—48no—
1527D4—44no—
1528D4—48no—
1529D4—48no—
1530D4—48no—
1531D4—44no—
1532D4—44no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—216no—
1553C2×C4—28no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—24no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—84no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—84no—
1631C2×C4—164no—
1632C2×C4—164no—
1633C2×C4—164no—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4114yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×2−1+412yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4C2×2−1+412yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C2×C4#58512yes—
1646C22—24no—
1647C22—22no—
1648C22—24no—
1649C22—24no—
1650C22—22no—
1651C22—22no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—42no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22C23×#4111yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×2−1+411yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22H(7,𝔽2)11yescharacteristic
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—24no—
1692C4—22no—
1693C4—22no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—41no—
1702C4—41no—
1703C4—44no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4—44no—
1713C4—44no—
1714C4—42no—
1715C4—42no—
1716C4#351214yes—
1717C4#351314yes—
1718C2—44no—
1719C2—42no—
1720C2—81no—
1721C2—82no—
1722C2—82no—
1723C2C2×#351311yescharacteristic
1724C2C2×#351211yescharacteristic
1725C2#6283511yescharacteristic
1726C2#6293811yescharacteristic
1727C2#6295511yescharacteristic
1728C2#6300011yescharacteristic
1729C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34925C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59856C2semidirect
2. #59683C2semidirect
3. #59678C2semidirect
4. #59312C2semidirect
5. #59219C2semidirect
6. #51461C2semidirect
7. #48191C2semidirect
8. #46564C2semidirect
9. #45224C2semidirect
10. #45069C2semidirect
11. #44916C2semidirect
12. #44916C2semidirect
13. #44427C2semidirect
14. #42993C2semidirect
15. #42603C2semidirect
16. #40011C2semidirect
17. #39737C2semidirect
18. #39653C2semidirect
19. #39468C2semidirect
20. #39468C2semidirect
21. #39463C2semidirect
22. #39280C2semidirect
23. #38975C2semidirect
24. #36449C2semidirect
25. #36290C2semidirect
26. #36189C2semidirect
27. #35880C2semidirect
28. #35758C2semidirect
29. #35593C2semidirect
30. #35517C2semidirect
32. #34793C2semidirect
33. #34368C2semidirect
34. #34324C2semidirect
35. #34207C2semidirect

Maximal subgroups

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

subgroupindex
#598562
#596832
#596782
#593122
#592192
#514612
#481912
#465642
#452242
#450692
#449162
#444272
#429932
#426032
#400112
#397372
#396532
#394682
#394632
#392802
#389752
#364492
#362902
#361892
#358802
#357582
#355932
#355172
#349252
#347932
#343682
#343242
#342072