Finite Group Databasebeta

← #8424386

Subgroups — #8424386

Order 512.

5293 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59680C211yesmaximal, characteristic, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59318C212yesmaximal, complemented
5#59039C212yesmaximal, complemented
6#56766C214yesmaximal, complemented
7#56267C214yesmaximal, complemented
8#53135C212yesmaximal, complemented
9#53106C212yesmaximal, complemented
10#53020C212yesmaximal, complemented
11#52972C212yesmaximal, complemented
12#52328C214yesmaximal, complemented
13#42952C212yesmaximal, complemented
14#42540C212yesmaximal, complemented
15#42476C212yesmaximal, complemented
16#42425C212yesmaximal, complemented
17#40914C214yesmaximal, complemented
18#40149C212yesmaximal, complemented
19#39852C212yesmaximal, complemented
20#39378C211yesmaximal, characteristic, complemented
21#39191C211yesmaximal, characteristic, complemented
22#38967C211yesmaximal, characteristic, complemented
23#38964C211yesmaximal, characteristic, complemented
24#38914C212yesmaximal, complemented
25#37792C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37626C211yesmaximal, characteristic, complemented
28#37554C212yesmaximal, complemented
29#37520C212yesmaximal, complemented
30#36573C211yesmaximal, characteristic, complemented
31#36468C211yesmaximal, characteristic, complemented
32#36165C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34893C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#550C2212yes—
40C2×#547C2212yes—
41C2×#540C2212yes—
42C2×#532C2212yes—
43C2×#532C2212yes—
44C2×#529C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2854C2212yes—
49#2851C2212yes—
50#2841C2214yes—
51#2837C2214yes—
52#2837C2214yes—
53#2831C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2827C2214yes—
57#2824C2214yes—
58#2823C2214yes—
59#2820C2214yes—
60#2819C2214yes—
61#2816C2214yes—
62#2813C2214yes—
63#2813C2214yes—
64#2788C2214yes—
65#2763C2214yes—
66#2753C2214yes—
67#2750C2214yes—
68#2743C2214yes—
69#2742C2214yes—
70#2740C2214yes—
71#2723C2214yes—
72#2721C2214yes—
73#2720C2214yes—
74#2715C2214yes—
75#2714C2214yes—
76#2714C2214yes—
77#2711C2214yes—
78#2710C2214yes—
79#2706C2214yes—
80#2705C2214yes—
81#2702C2214yes—
82#2701C2214yes—
83#2701C2214yes—
84#2698C2214yes—
85#2693C2214yes—
86#2691C2214yes—
87#2686C2214yes—
88#2686C2214yes—
89#2686C2214yes—
90#2682C2214yes—
91#2682C2214yes—
92#2681C2214yes—
93#2676C2214yes—
94#2675C2214yes—
95#2675C2214yes—
96#2672C2214yes—
97#2671C2214yes—
98#2671C2214yes—
99#2671C2214yes—
100#2671C2214yes—
101#2656C2214yes—
102#2639C2214yes—
103#2636C2214yes—
104#2636C2214yes—
105#2636C2214yes—
106#2636C2214yes—
107#2635C2214yes—
108#2635C2214yes—
109#2630C2214yes—
110#2630C2214yes—
111#2629C2212yes—
112#2628C2212yes—
113#2628C2212yes—
114#2624C2212yes—
115#2624C2212yes—
116#2624C2212yes—
117#2624C2212yes—
118#2624C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2619C2212yes—
122#2619C2212yes—
123#2615C2214yes—
124#2602C2214yes—
125#2589C2212yes—
126#2587C2212yes—
127#2584C2211yescharacteristic
128#2580C2212yes—
129#2580C2212yes—
130#2580C2212yes—
131#2580C2211yescharacteristic
132#2580C2212yes—
133#2571C2211yescharacteristic
134#2571C2211yescharacteristic
135#2567C2212yes—
136#2566C2211yescharacteristic
137#2563C2212yes—
138#2562C2212yes—
139#2559C2214yes—
140#2555C2214yes—
141#2554C2212yes—
142#2554C2212yes—
143#2553C2214yes—
144#2553C2214yes—
145#2552C2211yescharacteristic
146#2551C2211yescharacteristic
147#2550C2212yes—
148#2550C2211yescharacteristic
149#2548C2211yescharacteristic
150#2541C2211yescharacteristic
151#2541C2211yescharacteristic
152#2541C2212yes—
153#2541C2212yes—
154#2541C2211yescharacteristic
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2538C2212yes—
158#2538C2211yescharacteristic
159#2537C2211yescharacteristic
160#2537C2211yescharacteristic
161#2537C2211yescharacteristic
162#2537C2214yes—
163#2537C2212yes—
164#2535C2212yes—
165#2535C2212yes—
166#2535C2212yes—
167#2522C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2512C2211yescharacteristic
171#2512C2211yescharacteristic
172#2509C2212yes—
173#2509C2211yescharacteristic
174#2508C2212yes—
175#2508C2212yes—
176#2508C2212yes—
177#2507C2211yescharacteristic
178#2505C2214yes—
179#2505C2214yes—
180#2497C2212yes—
181#2496C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2490C2212yes—
185#2488C2214yes—
186#2487C2212yes—
187#2486C2212yes—
188#2486C2212yes—
189#2485C2212yes—
190#2466C2214yes—
191#2465C2212yes—
192#2456C2214yes—
193#2456C2214yes—
194#2455C2214yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2211yescharacteristic
198#2454C2212yes—
199#2454C2212yes—
200#2454C2212yes—
201#2454C2212yes—
202#2454C2212yes—
203#2452C2212yes—
204#2452C2211yescharacteristic
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2445C2211yescharacteristic
210#2445C2211yescharacteristic
211#2442C2212yes—
212#2442C2212yes—
213#2442C2212yes—
214#2440C2212yes—
215#2439C2212yes—
216#2439C2212yes—
217#2430C2214yes—
218#2430C2214yes—
219#2430C2214yes—
220#2430C2214yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2426C2212yes—
230#2425C2214yes—
231#2422C2214yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2419C2214yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2407C2214yes—
250#2407C2214yes—
251#2407C2214yes—
252#2396C2212yes—
253#2396C2212yes—
254#2392C2212yes—
255#2392C2212yes—
256#2388C2214yes—
257#2366C2212yes—
258#2366C2212yes—
259#2354C2211yescharacteristic
260#2354C2211yescharacteristic
261#2352C2212yes—
262#2349C2212yes—
263#2349C2212yes—
264#2349C2212yes—
265#2349C2212yes—
266#2349C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic
271#2339C2214yes—
272#2325C2214yes—
273#2324C2212yes—
274#2317C2212yes—
275#2316C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×#127C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#121C2212yes—
290#2296C2212yes—
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295C2×#382C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2314yes—
300C22×#41C2314yes—
301#553—48no—
302#553—48no—
303#553—48no—
304#550—48no—
305#547—48no—
306#540—48no—
307#532—48no—
308#532—48no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320#529—48no—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2312yes—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C42C2312yes—
426C22×C42C2312yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#396C2312yes—
490#396C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2312yes—
495#395C2314yes—
496#395C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2312yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2312yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2312yes—
560#392C2314yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2311yescharacteristic
574#390C2312yes—
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2311yescharacteristic
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2311yescharacteristic
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2314yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2314yes—
738#382C2311yescharacteristic
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#382C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2314yes—
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—48no—
820C2×#41—48no—
821C2×#41—48no—
822C2×#41—48no—
823C2×#41—48no—
824C2×#41—84no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870#127—28no—
871#127—24no—
872#127—24no—
873#127—24no—
874#127—44no—
875#127—42no—
876#127—44no—
877#127—44no—
878#126—44no—
879#126—44no—
880#126—48no—
881#126—48no—
882#126—48no—
883#125—24no—
884#125—24no—
885#125—44no—
886#125—44no—
887#125—44no—
888#125—82no—
889#124—48no—
890#124—44no—
891#124—48no—
892#123—48no—
893#123—48no—
894#123—44no—
895#123—44no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—48no—
901C22⋊Q8—44no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—84no—
905#121—28no—
906#121—28no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—44no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—48no—
931#121—48no—
932#121—84no—
933#121—84no—
934#121—84no—
935#121—84no—
936C4×Q8—24no—
937C4×Q8—42no—
938C4×Q8—44no—
939C4×Q8—42no—
940C4×D4—24no—
941C4×D4—28no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—24no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—48no—
969C4×D4—48no—
970C4×D4—82no—
971C4×D4—82no—
972#117—28no—
973#117—44no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—44no—
978C2×C4⋊C4—28no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C42—28no—
1121C2×C42—44no—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2512yes—
1208C24C2514yes—
1209C24C2512yes—
1210#41—832no—
1211#41—832no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—41no—
1216C2×Q8—41no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—28no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—22no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4H(5,𝔽2)14yes—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—28no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—28no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2514yes—
1347C22×C4C2514yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2514yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4H(5,𝔽2)14yes—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—28no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—22no—
1510C42—24no—
1511C42—28no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—42no—
1526C42—42no—
1527C42—44no—
1528C42—41no—
1529C42—41no—
1530C42—41no—
1531C42—41no—
1532C42—41no—
1533C42H(5,𝔽2)14yes—
1534C422−1+414yes—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—24no—
1545C23—22no—
1546C23—24no—
1547C23—22no—
1548C23—22no—
1549C23—24no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23C2×H(5,𝔽2)14yes—
1570C23C2611yescharacteristic
1571Q8—48no—
1572Q8—44no—
1573Q8—88no—
1574D4—28no—
1575D4—416no—
1576D4—48no—
1577D4—48no—
1578D4—44no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—44no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—88no—
1592D4—84no—
1593D4—88no—
1594D4—88no—
1595D4—164no—
1596D4—164no—
1597D4—164no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—24no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—48no—
1680C2×C4—48no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—88no—
1686C2×C4—88no—
1687C2×C4—88no—
1688C2×C4—88no—
1689C2×C4—164no—
1690C2×C4—164no—
1691C2×C4—164no—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×H(5,𝔽2)12yes—
1694C2×C4C2×H(5,𝔽2)14yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C2×C4C2×2−1+412yes—
1701C2×C4#58512yes—
1702C2×C4#58512yes—
1703C22—24no—
1704C22—24no—
1705C22—24no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—44no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—44no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—44no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22C22×H(5,𝔽2)11yescharacteristic
1739C22C22×H(5,𝔽2)11yescharacteristic
1740C22C22×H(5,𝔽2)11yescharacteristic
1741C22C22×2−1+411yescharacteristic
1742C22C2×#58511yescharacteristic
1743C22C2×#58511yescharacteristic
1744C22H(7,𝔽2)11yescharacteristic
1745C4—22no—
1746C4—24no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—44no—
1756C4—42no—
1757C4—41no—
1758C4—42no—
1759C4—42no—
1760C4—41no—
1761C4—41no—
1762C4—42no—
1763C4—42no—
1764C4—44no—
1765C4—42no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—44no—
1771C4—42no—
1772C4—41no—
1773C4#354814yes—
1774C4#355914yes—
1775C2—44no—
1776C2—82no—
1777C2—82no—
1778C2—82no—
1779C2—84no—
1780C2C2×#355911yescharacteristic
1781C2C2×#354811yescharacteristic
1782C2#6275911yescharacteristic
1783C2#6291211yescharacteristic
1784C2#6292311yescharacteristic
1785C2#6292611yescharacteristic
1786C2#6301211yescharacteristic
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. #59815C2semidirect
2. #59680C2semidirect
3. #59680C2semidirect
4. #59318C2semidirect
5. #59039C2semidirect
6. #56766C2semidirect
7. #56267C2semidirect
8. #53135C2semidirect
9. #53106C2semidirect
10. #53020C2semidirect
11. #52972C2semidirect
12. #52328C2semidirect
13. #42952C2semidirect
14. #42540C2semidirect
15. #42476C2semidirect
16. #42425C2semidirect
17. #40914C2semidirect
18. #40149C2semidirect
19. #39852C2semidirect
20. #39378C2semidirect
21. #39191C2semidirect
22. #38967C2semidirect
23. #38964C2semidirect
24. #38914C2semidirect
25. #37792C2semidirect
26. #37626C2semidirect
27. #37626C2semidirect
28. #37554C2semidirect
29. #37520C2semidirect
30. #36573C2semidirect
31. #36468C2semidirect
32. #36165C2semidirect
33. #34934C2semidirect
34. #34925C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#596802
#593182
#590392
#567662
#562672
#531352
#531062
#530202
#529722
#523282
#429522
#425402
#424762
#424252
#409142
#401492
#398522
#393782
#391912
#389672
#389642
#389142
#377922
#376262
#375542
#375202
#365732
#364682
#361652
#349342
#349252
#348932