Finite Group Databasebeta

← #7987111

Subgroups — #7987111

Order 512.

4552 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59717C212yesmaximal, complemented
2#59464C211yesmaximal, characteristic, complemented
3#59244C211yesmaximal, characteristic, complemented
4#59211C211yesmaximal, characteristic, complemented
5#59114C212yesmaximal, complemented
6#51624C214yesmaximal, complemented
7#51245C214yesmaximal, complemented
8#46051C212yesmaximal, complemented
9#45519C212yesmaximal, complemented
10#45280C212yesmaximal, complemented
11#45128C212yesmaximal, complemented
12#43301C214yesmaximal, complemented
13#42755C212yesmaximal, complemented
14#42437C212yesmaximal
15#40956C214yesmaximal, complemented
16#40201C212yesmaximal, complemented
17#40124C212yesmaximal, complemented
18#39788C212yesmaximal, complemented
19#39727C212yesmaximal, complemented
20#39481C211yesmaximal, characteristic, complemented
21#39156C211yesmaximal, characteristic, complemented
22#38262C212yesmaximal, complemented
23#36481C211yesmaximal, characteristic, complemented
24#36447C211yesmaximal, characteristic, complemented
25#36407C211yesmaximal, characteristic, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36151C212yesmaximal, complemented
28#36133C211yesmaximal, characteristic, complemented
29#35192C211yesmaximal, characteristic, complemented
30#35167C211yesmaximal, characteristic, complemented
31#35039C212yesmaximal, complemented
32#34929C211yesmaximal, characteristic, complemented
33#34898C211yesmaximal, characteristic, complemented
34#34434C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#553C2211yescharacteristic
38C2×#544C2212yes—
39C2×#533C2212yes—
40C2×#533C2212yes—
41#2864C2212yes—
42#2863C2212yes—
43#2862C2212yes—
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2857C2212yes—
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2855C2212yes—
52#2831C2214yes—
53#2816C2214yes—
54#2809C2214yes—
55#2802C2214yes—
56#2800C2214yes—
57#2799C2214yes—
58#2798C2214yes—
59#2791C2214yes—
60#2781C2214yes—
61#2779C2214yes—
62#2779C2214yes—
63#2777C2214yes—
64#2777C2214yes—
65#2776C2214yes—
66#2775C2214yes—
67#2775C2214yes—
68#2774C2214yes—
69#2773C2214yes—
70#2762C2214yes—
71#2759C2214yes—
72#2758C2214yes—
73#2754C2214yes—
74#2744C2214yes—
75#2741C2214yes—
76#2740C2214yes—
77#2725C2214yes—
78#2725C2214yes—
79#2721C2214yes—
80#2716C2214yes—
81#2715C2214yes—
82#2702C2214yes—
83#2702C2214yes—
84#2698C2214yes—
85#2694C2214yes—
86#2674C2214yes—
87#2665C2214yes—
88#2664C2214yes—
89#2659C2214yes—
90#2654C2214yes—
91#2652C2214yes—
92#2644C2212yes—
93#2638C2214yes—
94#2624C2212yes—
95#2620C2214yes—
96#2606C2214yes—
97#2605C2214yes—
98#2594C2214yes—
99#2592C2214yes—
100#2588C2214yes—
101#2588C2214yes—
102#2585C2214yes—
103#2582C2214yes—
104#2577C2214yes—
105#2577C2212yes—
106#2575C2212yes—
107#2574C2214yes—
108#2571C2212yes—
109#2571C2211yescharacteristic
110#2571C2211yescharacteristic
111#2570C2212yes—
112#2570C2211yescharacteristic
113#2568C2212yes—
114#2565C2211yescharacteristic
115#2562C2211yescharacteristic
116#2562C2212yes—
117#2560C2214yes—
118#2556C2214yes—
119#2556C2214yes—
120#2556C2214yes—
121#2552C2212yes—
122#2552C2211yescharacteristic
123#2552C2211yescharacteristic
124#2552C2212yes—
125#2551C2211yescharacteristic
126#2551C2211yescharacteristic
127#2551C2211yescharacteristic
128#2551C2212yes—
129#2550C2212yes—
130#2550C2214yes—
131#2550C2212yes—
132#2550C2212yes—
133#2546C2211yescharacteristic
134#2542C2211yescharacteristic
135#2538C2212yes—
136#2538C2211yescharacteristic
137#2536C2211yescharacteristic
138#2536C2212yes—
139#2536C2212yes—
140#2525C2214yes—
141#2524C2212yes—
142#2523C2214yes—
143#2522C2214yes—
144#2519C2214yes—
145#2514C2212yes—
146#2513C2212yes—
147#2513C2212yes—
148#2512C2212yes—
149#2509C2212yes—
150#2509C2212yes—
151#2508C2212yes—
152#2508C2214yes—
153#2508C2212yes—
154#2507C2212yes—
155#2507C2212yes—
156#2506C2212yes—
157#2506C2214yes—
158#2506C2212yes—
159#2506C2212yes—
160#2500C2212yes—
161#2499C2212yes—
162#2499C2212yes—
163#2497C2212yes—
164#2496C2212yes—
165#2496C2211yescharacteristic
166#2495C2212yes—
167#2495C2212yes—
168#2495C2211yescharacteristic
169#2494C2212yes—
170#2494C2212yes—
171#2492C2212yes—
172#2491C2212yes—
173#2490C2212yes—
174#2489C2214yes—
175#2489C2214yes—
176#2485C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2478C2214yes—
180#2474C2214yes—
181#2469C2214yes—
182#2469C2214yes—
183#2468C2212yes—
184#2462C2214yes—
185#2462C2214yes—
186#2460C2214yes—
187#2454C2212yes—
188#2453C2212yes—
189#2453C2214yes—
190#2453C2214yes—
191#2452C2212yes—
192#2452C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2446C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2440C2212yes—
199#2439C2212yes—
200#2439C2212yes—
201#2439C2212yes—
202#2439C2212yes—
203#2439C2212yes—
204#2439C2212yes—
205#2438C2214yes—
206#2429C2212yes—
207#2429C2212yes—
208#2423C2212yes—
209#2423C2211yescharacteristic
210#2423C2212yes—
211#2421C2212yes—
212#2421C2211yescharacteristic
213#2421C2212yes—
214#2421C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2214yes—
218#2415C2214yes—
219#2415C2212yes—
220#2402C2212yes—
221#2396C2214yes—
222#2395C2212yes—
223#2381C2214yes—
224#2378C2214yes—
225#2374C2212yes—
226#2373C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2211yescharacteristic
231#2369C2212yes—
232#2369C2212yes—
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2365C2214yes—
236#2365C2211yescharacteristic
237#2365C2212yes—
238#2364C2212yes—
239#2363C2211yescharacteristic
240#2362C2212yes—
241#2362C2214yes—
242#2362C2214yes—
243#2362C2212yes—
244#2361C2211yescharacteristic
245#2357C2211yescharacteristic
246#2354C2211yescharacteristic
247#2354C2211yescharacteristic
248#2353C2212yes—
249#2352C2211yescharacteristic
250#2351C2212yes—
251#2351C2212yes—
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255#2347C2212yes—
256#2347C2212yes—
257#2347C2211yescharacteristic
258#2347C2212yes—
259#2345C2211yescharacteristic
260#2344C2212yes—
261#2336C2214yes—
262#2336C2214yes—
263#2336C2214yes—
264#2332C2214yes—
265#2331C2212yes—
266#2331C2212yes—
267#2330C2212yes—
268#2323C2214yes—
269#2316C2212yes—
270#2314C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×#125C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×#126C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×#123C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2298C2212yes—
287#2296C2212yes—
288#2293C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#556—48no—
300#553—28no—
301#544—216no—
302#533—48no—
303#533—48no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#124C2314yes—
327C2×#123C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2312yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2314yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2312yes—
378C22×C42C2312yes—
379#401C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2314yes—
403#399C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2312yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#391C2314yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#390C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2314yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#385C2314yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2314yes—
685#384C2311yescharacteristic
686#384C2312yes—
687#383C2312yes—
688#383C2312yes—
689#383C2314yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2314yes—
708#381C2314yes—
709#381C2312yes—
710#381C2312yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C4⋊Q8—28no—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—216no—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844#126—28no—
845#126—44no—
846#126—48no—
847#126—48no—
848#125—28no—
849#125—28no—
850#125—216no—
851#125—24no—
852#125—42no—
853#125—44no—
854#125—48no—
855#125—48no—
856#125—48no—
857#124—48no—
858#123—28no—
859C22⋊Q8—24no—
860C22⋊Q8—28no—
861C22⋊Q8—24no—
862C22⋊Q8—216no—
863C22⋊Q8—216no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871#121—28no—
872#121—24no—
873#121—24no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—48no—
878C4×Q8—48no—
879C4×Q8—48no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—42no—
891C4×D4—44no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—44no—
895#117—28no—
896#117—28no—
897#117—24no—
898#117—24no—
899#117—48no—
900#117—48no—
901#117—44no—
902#117—44no—
903#117—44no—
904C2×C4⋊C4—24no—
905C2×C4⋊C4#4118yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—44no—
1029C2×C42—44no—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2411yescharacteristic
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2511yescharacteristic
1154C24C2512yes—
1155C24C2511yescharacteristic
1156C2×Q8—28no—
1157C2×Q8—28no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—28no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8H(5,𝔽2)14yes—
1171C2×D4—24no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—41no—
1178C2×D4—42no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—42no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4C2×#4114yes—
1215C22×C4C2×#4118yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2514yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—41no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
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—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4C2×#4114yes—
1326C4⋊C4C2×#4114yes—
1327C4⋊C4C2×#4118yes—
1328C4⋊C42−1+414yes—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—22no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—22no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C42—24no—
1369C42—28no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—28no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—24no—
1385C42—22no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—22no—
1390C42—22no—
1391C42—24no—
1392C42—42no—
1393C42—42no—
1394C42—42no—
1395C42—42no—
1396C42—41no—
1397C42—42no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—42no—
1405C42—44no—
1406C42—42no—
1407C42—44no—
1408C422−1+414yes—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—22no—
1416C23—21no—
1417C23—21no—
1418C23—22no—
1419C23—21no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23C22×#4112yes—
1430C23C2611yescharacteristic
1431Q8—28no—
1432Q8—48no—
1433Q8—88no—
1434Q8—88no—
1435Q8—88no—
1436D4—44no—
1437D4—48no—
1438D4—44no—
1439D4—84no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—28no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—48no—
1525C2×C4—48no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—48no—
1529C2×C4—44no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—82no—
1533C2×C4—82no—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4114yes—
1536C2×C4C22×#4114yes—
1537C2×C4C22×#4112yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4C2×2−1+414yes—
1542C2×C4C2×2−1+412yes—
1543C2×C4C2×2−1+412yes—
1544C2×C4C2×2−1+412yes—
1545C2×C4#58512yes—
1546C2×C4#58512yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—41no—
1563C22—42no—
1564C22—41no—
1565C22—42no—
1566C22—41no—
1567C22—42no—
1568C22C23×#4111yescharacteristic
1569C22C22×H(5,𝔽2)11yescharacteristic
1570C22C22×2−1+411yescharacteristic
1571C22C22×2−1+411yescharacteristic
1572C22C2×#58511yescharacteristic
1573C22C2×#58511yescharacteristic
1574C222−1+611yescharacteristic
1575C4—24no—
1576C4—24no—
1577C4—24no—
1578C4—22no—
1579C4—24no—
1580C4—22no—
1581C4—22no—
1582C4—41no—
1583C4—42no—
1584C4—42no—
1585C4—44no—
1586C4—41no—
1587C4—42no—
1588C4—41no—
1589C4—44no—
1590C4—42no—
1591C4—44no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4—42no—
1596C4—41no—
1597C4—42no—
1598C4—41no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—41no—
1605C4#350914yes—
1606C4#355914yes—
1607C2—42no—
1608C2—82no—
1609C2—81no—
1610C2C2×#355911yescharacteristic
1611C2#6279311yescharacteristic
1612C2C2×#350911yescharacteristic
1613C2#6295311yescharacteristic
1614C2#6295911yescharacteristic
1615C2#6298411yescharacteristic
1616C2#6301511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
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. #59464C2semidirect
3. #59244C2semidirect
4. #59211C2semidirect
5. #59114C2semidirect
6. #51624C2semidirect
7. #51245C2semidirect
8. #46051C2semidirect
9. #45519C2semidirect
10. #45280C2semidirect
11. #45128C2semidirect
12. #43301C2semidirect
13. #42755C2semidirect
15. #40956C2semidirect
16. #40201C2semidirect
17. #40124C2semidirect
18. #39788C2semidirect
19. #39727C2semidirect
20. #39481C2semidirect
21. #39156C2semidirect
22. #38262C2semidirect
23. #36481C2semidirect
24. #36447C2semidirect
25. #36407C2semidirect
26. #36210C2semidirect
27. #36151C2semidirect
28. #36133C2semidirect
29. #35192C2semidirect
30. #35167C2semidirect
31. #35039C2semidirect
32. #34929C2semidirect
33. #34898C2semidirect
34. #34434C2semidirect

Maximal subgroups

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

subgroupindex
#597172
#594642
#592442
#592112
#591142
#516242
#512452
#460512
#455192
#452802
#451282
#433012
#427552
#424372
#409562
#402012
#401242
#397882
#397272
#394812
#391562
#382622
#364812
#364472
#364072
#362102
#361512
#361332
#351922
#351672
#350392
#349292
#348982
#344342
C4×#5532