Finite Group Databasebeta

← #8174448

Subgroups — #8174448

Order 512.

4917 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59056C211yesmaximal, characteristic, complemented
2#59052C211yesmaximal, characteristic, complemented
3#59039C211yesmaximal, characteristic, complemented
4#59034C211yesmaximal, characteristic, complemented
5#57384C214yesmaximal, complemented
6#57275C214yesmaximal, complemented
7#57004C214yesmaximal, complemented
8#55172C214yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#53076C212yesmaximal, complemented
11#53051C212yesmaximal, complemented
12#52973C212yesmaximal, complemented
13#45043C212yesmaximal, complemented
14#44942C212yesmaximal, complemented
15#42838C212yesmaximal, complemented
16#42709C212yesmaximal, complemented
17#42609C212yesmaximal, complemented
18#42588C212yesmaximal, complemented
19#42578C212yesmaximal, complemented
20#42464C212yesmaximal, complemented
21#39643C211yesmaximal, characteristic, complemented
22#39491C211yesmaximal, characteristic, complemented
23#39489C211yesmaximal, characteristic, complemented
24#39387C211yesmaximal, characteristic, complemented
25#39201C211yesmaximal, characteristic, complemented
26#39169C211yesmaximal, characteristic, complemented
27#37944C212yesmaximal, complemented
28#37699C212yesmaximal, complemented
29#37616C212yesmaximal, complemented
30#37280C212yesmaximal, complemented
31#36194C211yesmaximal, characteristic, complemented
32#36125C211yesmaximal, characteristic, complemented
33#35298C211yesmaximal, characteristic, complemented
34#34914C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#542C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2212yes—
43C2×#532C2211yescharacteristic
44C2×#529C2212yes—
45#2868C2211yescharacteristic
46#2862C2211yescharacteristic
47#2858C2211yescharacteristic
48#2858C2211yescharacteristic
49#2857C2212yes—
50#2850C2212yes—
51#2829C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2828C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2826C2214yes—
59#2813C2214yes—
60#2813C2214yes—
61#2813C2214yes—
62#2813C2214yes—
63#2799C2214yes—
64#2797C2214yes—
65#2796C2214yes—
66#2795C2214yes—
67#2790C2214yes—
68#2783C2214yes—
69#2782C2214yes—
70#2780C2214yes—
71#2779C2214yes—
72#2779C2214yes—
73#2771C2214yes—
74#2755C2214yes—
75#2753C2214yes—
76#2751C2214yes—
77#2748C2214yes—
78#2733C2214yes—
79#2732C2214yes—
80#2730C2214yes—
81#2727C2214yes—
82#2712C2214yes—
83#2712C2214yes—
84#2710C2214yes—
85#2710C2214yes—
86#2710C2214yes—
87#2710C2214yes—
88#2709C2214yes—
89#2708C2214yes—
90#2708C2214yes—
91#2705C2214yes—
92#2704C2214yes—
93#2703C2214yes—
94#2702C2214yes—
95#2696C2214yes—
96#2695C2214yes—
97#2693C2214yes—
98#2691C2214yes—
99#2686C2214yes—
100#2682C2214yes—
101#2681C2214yes—
102#2681C2214yes—
103#2676C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2674C2214yes—
107#2674C2214yes—
108#2673C2214yes—
109#2672C2214yes—
110#2671C2214yes—
111#2661C2214yes—
112#2654C2212yes—
113#2653C2212yes—
114#2653C2214yes—
115#2650C2212yes—
116#2649C2214yes—
117#2649C2212yes—
118#2647C2211yescharacteristic
119#2647C2212yes—
120#2645C2211yescharacteristic
121#2644C2211yescharacteristic
122#2643C2214yes—
123#2641C2212yes—
124#2640C2211yescharacteristic
125#2636C2214yes—
126#2636C2214yes—
127#2628C2211yescharacteristic
128#2625C2211yescharacteristic
129#2624C2212yes—
130#2624C2211yescharacteristic
131#2620C2212yes—
132#2620C2211yescharacteristic
133#2620C2212yes—
134#2620C2212yes—
135#2620C2214yes—
136#2620C2212yes—
137#2619C2212yes—
138#2619C2214yes—
139#2595C2214yes—
140#2587C2214yes—
141#2582C2212yes—
142#2580C2212yes—
143#2571C2212yes—
144#2568C2212yes—
145#2567C2211yescharacteristic
146#2566C2212yes—
147#2566C2214yes—
148#2566C2212yes—
149#2566C2212yes—
150#2563C2211yescharacteristic
151#2563C2211yescharacteristic
152#2563C2211yescharacteristic
153#2560C2212yes—
154#2559C2212yes—
155#2558C2212yes—
156#2557C2214yes—
157#2557C2212yes—
158#2552C2212yes—
159#2548C2212yes—
160#2548C2212yes—
161#2546C2211yescharacteristic
162#2545C2212yes—
163#2545C2212yes—
164#2544C2214yes—
165#2542C2212yes—
166#2542C2211yescharacteristic
167#2541C2212yes—
168#2541C2211yescharacteristic
169#2541C2211yescharacteristic
170#2541C2212yes—
171#2541C2212yes—
172#2538C2212yes—
173#2538C2212yes—
174#2537C2212yes—
175#2536C2212yes—
176#2513C2212yes—
177#2512C2212yes—
178#2512C2211yescharacteristic
179#2511C2212yes—
180#2509C2212yes—
181#2508C2212yes—
182#2506C2211yescharacteristic
183#2505C2214yes—
184#2504C2212yes—
185#2501C2212yes—
186#2500C2212yes—
187#2500C2212yes—
188#2500C2212yes—
189#2499C2212yes—
190#2497C2212yes—
191#2497C2212yes—
192#2496C2211yescharacteristic
193#2492C2214yes—
194#2491C2212yes—
195#2491C2211yescharacteristic
196#2490C2212yes—
197#2476C2214yes—
198#2470C2214yes—
199#2466C2214yes—
200#2464C2214yes—
201#2464C2214yes—
202#2459C2214yes—
203#2458C2214yes—
204#2454C2212yes—
205#2452C2211yescharacteristic
206#2450C2214yes—
207#2446C2212yes—
208#2445C2212yes—
209#2445C2212yes—
210#2445C2212yes—
211#2445C2211yescharacteristic
212#2442C2212yes—
213#2441C2212yes—
214#2441C2212yes—
215#2441C2212yes—
216#2439C2214yes—
217#2432C2212yes—
218#2432C2212yes—
219#2432C2212yes—
220#2431C2212yes—
221#2431C2214yes—
222#2430C2214yes—
223#2429C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2428C2211yescharacteristic
228#2428C2212yes—
229#2428C2212yes—
230#2427C2212yes—
231#2426C2212yes—
232#2425C2214yes—
233#2423C2214yes—
234#2422C2212yes—
235#2422C2212yes—
236#2422C2212yes—
237#2422C2212yes—
238#2422C2211yescharacteristic
239#2421C2212yes—
240#2420C2212yes—
241#2417C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2212yes—
254#2407C2212yes—
255#2401C2212yes—
256#2398C2212yes—
257#2398C2212yes—
258#2396C2212yes—
259#2395C2212yes—
260#2392C2212yes—
261#2369C2211yescharacteristic
262#2369C2211yescharacteristic
263#2366C2211yescharacteristic
264#2365C2211yescharacteristic
265#2363C2212yes—
266#2363C2212yes—
267#2363C2212yes—
268#2361C2212yes—
269#2361C2212yes—
270#2360C2212yes—
271#2355C2212yes—
272#2354C2212yes—
273#2352C2212yes—
274#2349C2212yes—
275#2341C2212yes—
276#2339C2212yes—
277#2331C2212yes—
278#2328C2212yes—
279#2326C2212yes—
280#2326C2212yes—
281#2324C2212yes—
282#2317C2212yes—
283#2317C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×#127C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2285C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#555—44no—
303#554—44no—
304#550—44no—
305#547—44no—
306#542—48no—
307#533—44no—
308#532—48no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2314yes—
324#529—48no—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C42C2312yes—
416C22×C42C2311yescharacteristic
417#401C2312yes—
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2314yes—
433#400C2312yes—
434#400C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#399C2312yes—
442#399C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2312yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#396C2312yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#395C2314yes—
495#395C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
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#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#393C2312yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2312yes—
543#393C2312yes—
544#393C2312yes—
545#393C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2312yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2314yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2312yes—
571#391C2311yescharacteristic
572#391C2314yes—
573#391C2312yes—
574#391C2312yes—
575#391C2314yes—
576#391C2314yes—
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2311yescharacteristic
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2312yes—
625#389C2312yes—
626#389C2314yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2311yescharacteristic
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2311yescharacteristic
743#384C2312yes—
744#384C2312yes—
745#384C2314yes—
746#384C2312yes—
747#384C2312yes—
748#384C2312yes—
749#384C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2314yes—
754#382C2312yes—
755#382C2312yes—
756#382C2314yes—
757#382C2311yescharacteristic
758#381C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2311yescharacteristic
814#376C2311yescharacteristic
815#376C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—82no—
827C2×#41—82no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—44no—
873C4⋊Q8—82no—
874C4⋊Q8—82no—
875#127—24no—
876#127—42no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—84no—
881#126—44no—
882#126—44no—
883#126—48no—
884#125—44no—
885#125—44no—
886#125—44no—
887#124—24no—
888#124—28no—
889#124—44no—
890#124—44no—
891#124—44no—
892#124—48no—
893#124—48no—
894#124—84no—
895#124—82no—
896#124—82no—
897#123—48no—
898#123—48no—
899#123—44no—
900#123—44no—
901#123—84no—
902#123—84no—
903#123—84no—
904#123—84no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—44no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—84no—
916#121—28no—
917#121—24no—
918#121—44no—
919#121—48no—
920#121—48no—
921#121—48no—
922#121—42no—
923#121—44no—
924#121—42no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—84no—
934#121—84no—
935#121—84no—
936#121—84no—
937C4×Q8—24no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×D4—24no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961#117—24no—
962#117—28no—
963#117—44no—
964#117—42no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—84no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C42—28no—
1106C2×C42—24no—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2514yes—
1200C24C2512yes—
1201C24C2512yes—
1202#41—816no—
1203#41—816no—
1204#41—816no—
1205C2×Q8—22no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—22no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—28no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—42no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2514yes—
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C42−1+414yes—
1416C22⋊C4—22no—
1417C22⋊C4—24no—
1418C22⋊C4—22no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—28no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C42—22no—
1487C42—24no—
1488C42—22no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—24no—
1493C42—22no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—22no—
1498C42—22no—
1499C42—24no—
1500C42—22no—
1501C42—22no—
1502C42—24no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—41no—
1509C42—41no—
1510C42—41no—
1511C42—41no—
1512C42H(5,𝔽2)14yes—
1513C42H(5,𝔽2)14yes—
1514C23—21no—
1515C23—22no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—21no—
1522C23—24no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—21no—
1529C23—21no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—21no—
1534C23—22no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—24no—
1544C23—24no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—21no—
1549C23C2611yescharacteristic
1550Q8—48no—
1551Q8—44no—
1552Q8—84no—
1553Q8—84no—
1554Q8—84no—
1555Q8—84no—
1556D4—48no—
1557D4—44no—
1558D4—44no—
1559D4—44no—
1560D4—48no—
1561D4—84no—
1562D4—88no—
1563D4—84no—
1564D4—88no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—164no—
1573D4—164no—
1574D4—164no—
1575D4—164no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—24no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—48no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—48no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4—88no—
1667C2×C4—164no—
1668C2×C4—164no—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×H(5,𝔽2)12yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×2−1+414yes—
1676C2×C4C2×2−1+412yes—
1677C2×C4#58512yes—
1678C2×C4#58512yes—
1679C22—42no—
1680C22—41no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—44no—
1689C22—41no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—44no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—44no—
1704C22—42no—
1705C22—41no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—42no—
1710C22—42no—
1711C22—44no—
1712C22—41no—
1713C22—42no—
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×H(5,𝔽2)11yescharacteristic
1716C22C22×2−1+411yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22C2×#58511yescharacteristic
1719C22H(7,𝔽2)11yescharacteristic
1720C22H(7,𝔽2)11yescharacteristic
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—24no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—44no—
1732C4—41no—
1733C4—44no—
1734C4—42no—
1735C4—44no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4#354614yes—
1750C4#355414yes—
1751C2—81no—
1752C2—82no—
1753C2—82no—
1754C2—82no—
1755C2—84no—
1756C2C2×#355411yescharacteristic
1757C2C2×#354611yescharacteristic
1758C2#6287611yescharacteristic
1759C2#6293011yescharacteristic
1760C2#6293711yescharacteristic
1761C2#6294411yescharacteristic
1762C2#6295211yescharacteristic
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. #59056C2semidirect
2. #59052C2semidirect
3. #59039C2semidirect
4. #59034C2semidirect
5. #57384C2semidirect
6. #57275C2semidirect
7. #57004C2semidirect
8. #55172C2semidirect
9. #53096C2semidirect
10. #53076C2semidirect
11. #53051C2semidirect
12. #52973C2semidirect
13. #45043C2semidirect
14. #44942C2semidirect
15. #42838C2semidirect
16. #42709C2semidirect
17. #42609C2semidirect
18. #42588C2semidirect
19. #42578C2semidirect
20. #42464C2semidirect
21. #39643C2semidirect
22. #39491C2semidirect
23. #39489C2semidirect
24. #39387C2semidirect
25. #39201C2semidirect
26. #39169C2semidirect
27. #37944C2semidirect
28. #37699C2semidirect
29. #37616C2semidirect
30. #37280C2semidirect
31. #36194C2semidirect
32. #36125C2semidirect
33. #35298C2semidirect
34. #34914C2semidirect
35. #34619C2semidirect

Maximal subgroups

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

subgroupindex
#590562
#590522
#590392
#590342
#573842
#572752
#570042
#551722
#530962
#530762
#530512
#529732
#450432
#449422
#428382
#427092
#426092
#425882
#425782
#424642
#396432
#394912
#394892
#393872
#392012
#391692
#379442
#376992
#376162
#372802
#361942
#361252
#352982
#349142
#346192