Finite Group Databasebeta

← #8425163

Subgroups — #8425163

Order 512.

4384 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59716C212yesmaximal, complemented
2#59672C211yesmaximal, characteristic, complemented
3#59228C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#59137C212yesmaximal, complemented
6#58494C214yesmaximal, complemented
7#57885C214yesmaximal, complemented
8#53094C212yesmaximal, complemented
9#53089C212yesmaximal, complemented
10#53072C212yesmaximal, complemented
11#52978C212yesmaximal, complemented
12#52671C214yesmaximal, complemented
13#42573C212yesmaximal, complemented
14#42458C212yesmaximal, complemented
15#42453C212yesmaximal, complemented
16#42437C212yesmaximal, complemented
17#41134C214yesmaximal, complemented
18#40227C212yesmaximal, complemented
19#40011C212yesmaximal, complemented
20#39544C212yesmaximal, complemented
21#39497C211yesmaximal, characteristic, complemented
22#39479C211yesmaximal, characteristic, complemented
23#39369C211yesmaximal, characteristic, complemented
24#39158C211yesmaximal, characteristic, complemented
25#37691C212yesmaximal, complemented
26#37636C211yesmaximal, characteristic, complemented
27#37627C212yesmaximal, complemented
28#37624C211yesmaximal, characteristic, complemented
29#37511C212yesmaximal, complemented
30#36551C211yesmaximal, characteristic, complemented
31#36301C211yesmaximal, characteristic, complemented
32#36194C211yesmaximal, characteristic, complemented
33#34938C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#544C2212yes—
38C2×#533C2212yes—
39#2868C2211yescharacteristic
40#2864C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2851C2212yes—
44#2841C2214yes—
45#2839C2214yes—
46#2838C2214yes—
47#2838C2214yes—
48#2837C2214yes—
49#2837C2214yes—
50#2833C2214yes—
51#2832C2214yes—
52#2832C2214yes—
53#2827C2214yes—
54#2827C2214yes—
55#2824C2214yes—
56#2820C2214yes—
57#2816C2214yes—
58#2809C2214yes—
59#2796C2214yes—
60#2790C2214yes—
61#2787C2214yes—
62#2776C2214yes—
63#2775C2214yes—
64#2773C2214yes—
65#2765C2214yes—
66#2759C2214yes—
67#2759C2214yes—
68#2758C2214yes—
69#2758C2214yes—
70#2757C2214yes—
71#2756C2214yes—
72#2754C2214yes—
73#2745C2214yes—
74#2744C2214yes—
75#2732C2214yes—
76#2729C2214yes—
77#2729C2214yes—
78#2725C2214yes—
79#2721C2214yes—
80#2720C2214yes—
81#2720C2214yes—
82#2716C2214yes—
83#2715C2214yes—
84#2711C2214yes—
85#2708C2214yes—
86#2702C2214yes—
87#2702C2214yes—
88#2700C2214yes—
89#2694C2214yes—
90#2692C2214yes—
91#2689C2214yes—
92#2677C2214yes—
93#2676C2214yes—
94#2674C2214yes—
95#2666C2214yes—
96#2666C2214yes—
97#2660C2212yes—
98#2651C2214yes—
99#2651C2214yes—
100#2650C2214yes—
101#2647C2212yes—
102#2644C2212yes—
103#2638C2214yes—
104#2638C2214yes—
105#2636C2214yes—
106#2632C2214yes—
107#2629C2212yes—
108#2629C2212yes—
109#2628C2212yes—
110#2628C2212yes—
111#2628C2212yes—
112#2628C2212yes—
113#2625C2214yes—
114#2624C2212yes—
115#2624C2212yes—
116#2624C2212yes—
117#2620C2214yes—
118#2596C2214yes—
119#2594C2214yes—
120#2593C2214yes—
121#2589C2214yes—
122#2575C2214yes—
123#2571C2211yescharacteristic
124#2571C2212yes—
125#2570C2212yes—
126#2566C2212yes—
127#2565C2214yes—
128#2563C2211yescharacteristic
129#2563C2211yescharacteristic
130#2563C2212yes—
131#2562C2212yes—
132#2562C2212yes—
133#2560C2214yes—
134#2552C2212yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2551C2211yescharacteristic
141#2551C2212yes—
142#2551C2211yescharacteristic
143#2550C2212yes—
144#2550C2212yes—
145#2550C2212yes—
146#2550C2212yes—
147#2549C2214yes—
148#2547C2212yes—
149#2542C2212yes—
150#2538C2212yes—
151#2537C2211yescharacteristic
152#2537C2212yes—
153#2531C2212yes—
154#2529C2212yes—
155#2527C2214yes—
156#2525C2212yes—
157#2518C2212yes—
158#2516C2212yes—
159#2513C2211yescharacteristic
160#2512C2212yes—
161#2512C2211yescharacteristic
162#2510C2212yes—
163#2509C2211yescharacteristic
164#2509C2212yes—
165#2509C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2507C2212yes—
169#2507C2211yescharacteristic
170#2506C2212yes—
171#2506C2212yes—
172#2506C2212yes—
173#2504C2211yescharacteristic
174#2500C2212yes—
175#2500C2211yescharacteristic
176#2497C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2496C2212yes—
180#2496C2212yes—
181#2495C2212yes—
182#2495C2212yes—
183#2495C2212yes—
184#2495C2211yescharacteristic
185#2494C2212yes—
186#2494C2212yes—
187#2494C2212yes—
188#2494C2211yescharacteristic
189#2494C2212yes—
190#2492C2212yes—
191#2492C2212yes—
192#2491C2212yes—
193#2491C2212yes—
194#2491C2212yes—
195#2490C2212yes—
196#2490C2211yescharacteristic
197#2490C2211yescharacteristic
198#2487C2212yes—
199#2487C2211yescharacteristic
200#2486C2212yes—
201#2485C2212yes—
202#2485C2211yescharacteristic
203#2485C2212yes—
204#2485C2212yes—
205#2485C2212yes—
206#2478C2214yes—
207#2477C2214yes—
208#2469C2214yes—
209#2468C2214yes—
210#2467C2212yes—
211#2465C2214yes—
212#2463C2214yes—
213#2462C2214yes—
214#2461C2214yes—
215#2458C2214yes—
216#2454C2212yes—
217#2452C2212yes—
218#2452C2212yes—
219#2450C2214yes—
220#2446C2214yes—
221#2444C2212yes—
222#2442C2212yes—
223#2442C2211yescharacteristic
224#2441C2212yes—
225#2441C2211yescharacteristic
226#2441C2212yes—
227#2441C2212yes—
228#2440C2212yes—
229#2440C2212yes—
230#2440C2212yes—
231#2440C2212yes—
232#2439C2212yes—
233#2439C2212yes—
234#2439C2212yes—
235#2439C2212yes—
236#2439C2212yes—
237#2426C2214yes—
238#2423C2214yes—
239#2420C2212yes—
240#2420C2212yes—
241#2416C2211yescharacteristic
242#2415C2214yes—
243#2414C2211yescharacteristic
244#2414C2212yes—
245#2414C2212yes—
246#2401C2212yes—
247#2399C2214yes—
248#2395C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2370C2212yes—
252#2370C2212yes—
253#2369C2211yescharacteristic
254#2369C2211yescharacteristic
255#2369C2212yes—
256#2367C2214yes—
257#2361C2212yes—
258#2355C2212yes—
259#2354C2212yes—
260#2354C2211yescharacteristic
261#2354C2212yes—
262#2354C2211yescharacteristic
263#2352C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2212yes—
267#2347C2212yes—
268#2345C2212yes—
269#2344C2212yes—
270#2336C2214yes—
271#2331C2212yes—
272#2317C2212yes—
273#2314C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2211yescharacteristic
279C4×#126C2212yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2296C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#553—48no—
300#544—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2314yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2314yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374#401C2314yes—
375#401C2314yes—
376#401C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2312yes—
406#399C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#396C2312yes—
453#396C2312yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#392C2314yes—
507#392C2312yes—
508#391C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2311yescharacteristic
537#390C2311yescharacteristic
538#390C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2314yes—
695#384C2312yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#383C2312yes—
705#383C2314yes—
706#383C2314yes—
707#383C2312yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2414yes—
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×D4C2411yescharacteristic
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—48no—
845C4⋊Q8—82no—
846#126—44no—
847#126—48no—
848#126—84no—
849#125—28no—
850#125—24no—
851#125—42no—
852#125—44no—
853#125—48no—
854#125—44no—
855#125—44no—
856#125—48no—
857#124—48no—
858#124—84no—
859#123—48no—
860C22⋊Q8—48no—
861C22⋊Q8—48no—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—82no—
865C22⋊Q8—84no—
866C22⋊Q8—84no—
867C22⋊Q8—82no—
868#121—24no—
869#121—24no—
870#121—44no—
871#121—42no—
872#121—42no—
873#121—44no—
874#121—48no—
875#121—44no—
876C4×Q8—44no—
877C4×Q8—48no—
878C4×Q8—48no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—44no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—42no—
889C4×D4—44no—
890C4×D4—48no—
891C4×D4—84no—
892#117—24no—
893#117—24no—
894#117—44no—
895#117—44no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—44no—
901#117—84no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—44no—
904C2×C4⋊C4—42no—
905C2×C4⋊C4—42no—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C42—24no—
1038C2×C42—24no—
1039C2×C42—44no—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2512yes—
1149C24C2511yescharacteristic
1150C24C2512yes—
1151C24C2511yescharacteristic
1152C2×Q8—28no—
1153C2×Q8—24no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—41no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—44no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—42no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—28no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—44no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4—44no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C42−1+414yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2514yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C22×C4C2511yescharacteristic
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4H(5,𝔽2)14yes—
1332C22⋊C4—24no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—22no—
1404C42—22no—
1405C42—28no—
1406C42—42no—
1407C42—42no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—42no—
1413C42—44no—
1414C42—44no—
1415C42—42no—
1416C42—41no—
1417C422−1+414yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23—21no—
1438C23—22no—
1439C23—22no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—22no—
1445C23C2×2−1+412yes—
1446C23C2611yescharacteristic
1447Q8—88no—
1448Q8—84no—
1449Q8—88no—
1450Q8—164no—
1451D4—44no—
1452D4—48no—
1453D4—44no—
1454D4—44no—
1455D4—84no—
1456D4—84no—
1457D4—84no—
1458D4—88no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—28no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—24no—
1543C2×C4—48no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—48no—
1548C2×C4—88no—
1549C2×C4—82no—
1550C2×C4—82no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—164no—
1554C2×C4C2×H(5,𝔽2)14yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×2−1+412yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+412yes—
1561C2×C4#58512yes—
1562C2×C4#58512yes—
1563C2×C4#58512yes—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—42no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—41no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—41no—
1583C22—42no—
1584C22—42no—
1585C22—41no—
1586C22—42no—
1587C22—41no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—42no—
1592C22C22×H(5,𝔽2)11yescharacteristic
1593C22C22×2−1+411yescharacteristic
1594C22C22×2−1+411yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22H(7,𝔽2)11yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—24no—
1602C4—22no—
1603C4—41no—
1604C4—41no—
1605C4—42no—
1606C4—41no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—41no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4—44no—
1618C4—42no—
1619C4—44no—
1620C4—41no—
1621C4—41no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—44no—
1628C4#355214yes—
1629C4#356514yes—
1630C2—42no—
1631C2—81no—
1632C2—82no—
1633C2—82no—
1634C2C2×#356511yescharacteristic
1635C2C2×#355211yescharacteristic
1636C2#6275211yescharacteristic
1637C2#6292011yescharacteristic
1638C2#6292611yescharacteristic
1639C2#6292911yescharacteristic
1640C2#6302211yescharacteristic
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. #59716C2semidirect
2. #59672C2semidirect
3. #59228C2semidirect
4. #59213C2semidirect
5. #59137C2semidirect
6. #58494C2semidirect
7. #57885C2semidirect
8. #53094C2semidirect
9. #53089C2semidirect
10. #53072C2semidirect
11. #52978C2semidirect
12. #52671C2semidirect
13. #42573C2semidirect
14. #42458C2semidirect
15. #42453C2semidirect
16. #42437C2semidirect
17. #41134C2semidirect
18. #40227C2semidirect
19. #40011C2semidirect
20. #39544C2semidirect
21. #39497C2semidirect
22. #39479C2semidirect
23. #39369C2semidirect
24. #39158C2semidirect
25. #37691C2semidirect
26. #37636C2semidirect
27. #37627C2semidirect
28. #37624C2semidirect
29. #37511C2semidirect
30. #36551C2semidirect
31. #36301C2semidirect
32. #36194C2semidirect
33. #34938C2semidirect
34. #34797C2semidirect
35. #34788C2semidirect

Maximal subgroups

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

subgroupindex
#597162
#596722
#592282
#592132
#591372
#584942
#578852
#530942
#530892
#530722
#529782
#526712
#425732
#424582
#424532
#424372
#411342
#402272
#400112
#395442
#394972
#394792
#393692
#391582
#376912
#376362
#376272
#376242
#375112
#365512
#363012
#361942
#349382
#347972
#347882