Finite Group Databasebeta

← #8174395

Subgroups — #8174395

Order 512.

4353 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59257C211yesmaximal, characteristic, complemented
2#59218C211yesmaximal, characteristic, complemented
3#59217C211yesmaximal, characteristic, complemented
4#59213C211yesmaximal, characteristic, complemented
5#57046C214yesmaximal, complemented
6#56986C214yesmaximal, complemented
7#56135C214yesmaximal, complemented
8#55198C214yesmaximal, complemented
9#53052C212yesmaximal, complemented
10#53023C212yesmaximal, complemented
11#53023C212yesmaximal, complemented
12#52970C212yesmaximal, complemented
13#45135C212yesmaximal, complemented
14#45096C212yesmaximal, complemented
15#42948C212yesmaximal, complemented
16#42728C212yesmaximal, complemented
17#42686C212yesmaximal, complemented
18#42630C212yesmaximal, complemented
19#42545C212yesmaximal, complemented
20#42440C212yesmaximal, complemented
21#39497C211yesmaximal, characteristic, complemented
22#39377C211yesmaximal, characteristic, complemented
23#39193C211yesmaximal, characteristic, complemented
24#39183C211yesmaximal, characteristic, complemented
25#39152C212yesmaximal, complemented
26#38975C211yesmaximal, characteristic, complemented
27#38966C211yesmaximal, characteristic, complemented
28#38068C212yesmaximal, complemented
29#37502C212yesmaximal, complemented
30#37373C212yesmaximal, complemented
31#36468C211yesmaximal, characteristic, complemented
32#36290C211yesmaximal, characteristic, complemented
33#35294C211yesmaximal, characteristic, complemented
34#34913C211yesmaximal, characteristic, complemented
35#34621C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yes—
38C2×#542C2212yes—
39#2868C2211yescharacteristic
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2854C2212yes—
44#2851C2212yes—
45#2843C2214yes—
46#2839C2214yes—
47#2839C2214yes—
48#2837C2214yes—
49#2837C2214yes—
50#2836C2214yes—
51#2836C2214yes—
52#2829C2214yes—
53#2826C2214yes—
54#2824C2214yes—
55#2814C2214yes—
56#2814C2214yes—
57#2802C2214yes—
58#2802C2214yes—
59#2800C2214yes—
60#2795C2214yes—
61#2794C2214yes—
62#2791C2214yes—
63#2790C2214yes—
64#2790C2214yes—
65#2786C2214yes—
66#2783C2214yes—
67#2783C2214yes—
68#2781C2214yes—
69#2779C2214yes—
70#2775C2214yes—
71#2775C2214yes—
72#2775C2214yes—
73#2772C2214yes—
74#2770C2214yes—
75#2768C2214yes—
76#2761C2214yes—
77#2757C2214yes—
78#2757C2214yes—
79#2750C2214yes—
80#2750C2214yes—
81#2747C2214yes—
82#2746C2214yes—
83#2738C2214yes—
84#2738C2214yes—
85#2729C2214yes—
86#2722C2214yes—
87#2722C2214yes—
88#2718C2214yes—
89#2718C2214yes—
90#2718C2214yes—
91#2718C2214yes—
92#2715C2214yes—
93#2708C2214yes—
94#2707C2214yes—
95#2705C2214yes—
96#2701C2214yes—
97#2701C2214yes—
98#2698C2214yes—
99#2698C2214yes—
100#2691C2214yes—
101#2686C2214yes—
102#2676C2214yes—
103#2674C2214yes—
104#2671C2214yes—
105#2667C2214yes—
106#2655C2214yes—
107#2652C2214yes—
108#2651C2212yes—
109#2651C2212yes—
110#2649C2214yes—
111#2649C2214yes—
112#2648C2212yes—
113#2648C2212yes—
114#2647C2212yes—
115#2647C2211yescharacteristic
116#2644C2211yescharacteristic
117#2644C2211yescharacteristic
118#2644C2212yes—
119#2641C2211yescharacteristic
120#2630C2214yes—
121#2629C2211yescharacteristic
122#2629C2212yes—
123#2629C2212yes—
124#2629C2212yes—
125#2628C2212yes—
126#2628C2212yes—
127#2625C2212yes—
128#2624C2211yescharacteristic
129#2624C2211yescharacteristic
130#2623C2214yes—
131#2619C2211yescharacteristic
132#2618C2214yes—
133#2602C2214yes—
134#2601C2214yes—
135#2578C2212yes—
136#2577C2212yes—
137#2576C2212yes—
138#2575C2212yes—
139#2573C2214yes—
140#2573C2214yes—
141#2571C2211yescharacteristic
142#2570C2212yes—
143#2570C2212yes—
144#2570C2212yes—
145#2566C2212yes—
146#2566C2212yes—
147#2565C2212yes—
148#2562C2212yes—
149#2562C2212yes—
150#2559C2214yes—
151#2552C2212yes—
152#2552C2212yes—
153#2552C2211yescharacteristic
154#2552C2211yescharacteristic
155#2552C2211yescharacteristic
156#2552C2212yes—
157#2550C2212yes—
158#2550C2212yes—
159#2550C2212yes—
160#2538C2211yescharacteristic
161#2538C2212yes—
162#2538C2211yescharacteristic
163#2537C2211yescharacteristic
164#2537C2212yes—
165#2537C2212yes—
166#2537C2211yescharacteristic
167#2535C2212yes—
168#2523C2214yes—
169#2514C2211yescharacteristic
170#2512C2212yes—
171#2509C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2508C2211yescharacteristic
175#2508C2212yes—
176#2507C2212yes—
177#2507C2212yes—
178#2507C2212yes—
179#2505C2214yes—
180#2504C2212yes—
181#2503C2212yes—
182#2501C2212yes—
183#2497C2212yes—
184#2497C2212yes—
185#2496C2212yes—
186#2496C2212yes—
187#2496C2214yes—
188#2496C2212yes—
189#2496C2212yes—
190#2495C2212yes—
191#2495C2212yes—
192#2495C2212yes—
193#2495C2212yes—
194#2495C2211yescharacteristic
195#2491C2212yes—
196#2490C2212yes—
197#2490C2212yes—
198#2490C2212yes—
199#2489C2211yescharacteristic
200#2488C2214yes—
201#2486C2212yes—
202#2486C2212yes—
203#2485C2212yes—
204#2485C2212yes—
205#2485C2212yes—
206#2485C2212yes—
207#2481C2214yes—
208#2476C2214yes—
209#2473C2214yes—
210#2468C2214yes—
211#2466C2214yes—
212#2454C2212yes—
213#2454C2211yescharacteristic
214#2453C2212yes—
215#2452C2212yes—
216#2447C2211yescharacteristic
217#2447C2214yes—
218#2445C2212yes—
219#2442C2212yes—
220#2442C2212yes—
221#2442C2212yes—
222#2442C2212yes—
223#2442C2212yes—
224#2441C2212yes—
225#2441C2212yes—
226#2441C2212yes—
227#2440C2212yes—
228#2440C2212yes—
229#2439C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2428C2212yes—
233#2427C2212yes—
234#2427C2211yescharacteristic
235#2425C2214yes—
236#2423C2212yes—
237#2422C2214yes—
238#2422C2212yes—
239#2420C2212yes—
240#2420C2211yescharacteristic
241#2420C2212yes—
242#2419C2214yes—
243#2419C2214yes—
244#2417C2212yes—
245#2417C2214yes—
246#2416C2212yes—
247#2415C2212yes—
248#2415C2212yes—
249#2401C2212yes—
250#2395C2212yes—
251#2395C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2370C2212yes—
256#2363C2212yes—
257#2362C2212yes—
258#2361C2212yes—
259#2357C2212yes—
260#2355C2211yescharacteristic
261#2354C2211yescharacteristic
262#2354C2211yescharacteristic
263#2352C2212yes—
264#2352C2212yes—
265Q8×C4⋊C4C2211yescharacteristic
266#2349C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic
271D4×C4⋊C4C2212yes—
272#2345C2212yes—
273#2331C2212yes—
274#2330C2212yes—
275#2330C2212yes—
276#2324C2212yes—
277#2319C2212yes—
278#2317C2212yes—
279#2317C2212yes—
280C4×#127C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2211yescharacteristic
292C2×#389C2212yes—
293#2290C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2283C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#553—48no—
300#553—48no—
301#542—48no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×#127C2311yescharacteristic
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2314yes—
371C22×C42C2311yescharacteristic
372C22×C42C2312yes—
373#401C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#399C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2312yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2314yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2314yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2314yes—
542#390C2311yescharacteristic
543#390C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
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#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2312yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2314yes—
704#384C2314yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#383C2312yes—
711#383C2314yes—
712#383C2312yes—
713#383C2314yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#381C2314yes—
729#381C2314yes—
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#381C2314yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810C2×#95C2314yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2414yes—
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2414yes—
820C22×D4C2414yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—82no—
840#127—42no—
841#126—48no—
842#126—48no—
843#126—48no—
844#126—84no—
845#125—44no—
846#125—42no—
847#125—44no—
848#125—42no—
849#125—44no—
850#125—44no—
851#125—44no—
852#125—82no—
853#124—24no—
854#124—48no—
855#123—48no—
856#123—48no—
857#123—48no—
858#123—84no—
859#123—84no—
860C22⋊Q8—48no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—44no—
864C22⋊Q8—84no—
865#121—28no—
866#121—24no—
867#121—28no—
868#121—48no—
869#121—48no—
870#121—42no—
871#121—44no—
872#121—42no—
873#121—44no—
874#121—84no—
875C4×Q8—24no—
876C4×Q8—44no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—42no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—48no—
892C4×D4—48no—
893#117—42no—
894#117—44no—
895#117—42no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—82no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4—44no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4—84no—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—24no—
1041C2×C42—44no—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
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—
1147C24C2511yescharacteristic
1148C24C2512yes—
1149C24C2512yes—
1150C24C2512yes—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×D4—28no—
1158C2×D4—28no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4H(5,𝔽2)14yes—
1187C22×C4—24no—
1188C22×C4—28no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C42—22no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—24no—
1404C42—42no—
1405C42—42no—
1406C42—41no—
1407C42—41no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—41no—
1415C42—41no—
1416C422−1+414yes—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23—22no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—21no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23C2×H(5,𝔽2)14yes—
1445C23C2611yescharacteristic
1446Q8—44no—
1447Q8—164no—
1448D4—28no—
1449D4—44no—
1450D4—44no—
1451D4—84no—
1452D4—88no—
1453D4—88no—
1454D4—84no—
1455D4—84no—
1456D4—84no—
1457D4—84no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—24no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—44no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—44no—
1550C2×C4—88no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—164no—
1554C2×C4—164no—
1555C2×C4—164no—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C2×C4C2×2−1+412yes—
1558C2×C4C2×2−1+412yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4#58512yes—
1561C2×C4#58512yes—
1562C2×C4#58512yes—
1563C22—24no—
1564C22—24no—
1565C22—24no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—42no—
1583C22—42no—
1584C22—41no—
1585C22—41no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—41no—
1591C22C22×H(5,𝔽2)11yescharacteristic
1592C22C22×2−1+411yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22H(7,𝔽2)11yescharacteristic
1597C222−1+611yescharacteristic
1598C4—22no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—42no—
1605C4—42no—
1606C4—41no—
1607C4—42no—
1608C4—44no—
1609C4—42no—
1610C4—41no—
1611C4—44no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—41no—
1619C4—42no—
1620C4—41no—
1621C4—44no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4#355914yes—
1628C4#356514yes—
1629C2—44no—
1630C2—81no—
1631C2—82no—
1632C2—82no—
1633C2C2×#355911yescharacteristic
1634C2C2×#356511yescharacteristic
1635C2#6287711yescharacteristic
1636C2#6292011yescharacteristic
1637C2#6292111yescharacteristic
1638C2#6293711yescharacteristic
1639C2#6293911yescharacteristic
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. #59257C2semidirect
2. #59218C2semidirect
3. #59217C2semidirect
4. #59213C2semidirect
5. #57046C2semidirect
6. #56986C2semidirect
7. #56135C2semidirect
8. #55198C2semidirect
9. #53052C2semidirect
10. #53023C2semidirect
11. #53023C2semidirect
12. #52970C2semidirect
13. #45135C2semidirect
14. #45096C2semidirect
15. #42948C2semidirect
16. #42728C2semidirect
17. #42686C2semidirect
18. #42630C2semidirect
19. #42545C2semidirect
20. #42440C2semidirect
21. #39497C2semidirect
22. #39377C2semidirect
23. #39193C2semidirect
24. #39183C2semidirect
25. #39152C2semidirect
26. #38975C2semidirect
27. #38966C2semidirect
28. #38068C2semidirect
29. #37502C2semidirect
30. #37373C2semidirect
31. #36468C2semidirect
32. #36290C2semidirect
33. #35294C2semidirect
34. #34913C2semidirect
35. #34621C2semidirect

Maximal subgroups

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

subgroupindex
#592572
#592182
#592172
#592132
#570462
#569862
#561352
#551982
#530522
#530232
#529702
#451352
#450962
#429482
#427282
#426862
#426302
#425452
#424402
#394972
#393772
#391932
#391832
#391522
#389752
#389662
#380682
#375022
#373732
#364682
#362902
#352942
#349132
#346212