Finite Group Databasebeta

← #8174446

Subgroups — #8174446

Order 512.

4941 conjugacy classes of subgroups.

The subgroup lattice has 1737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59084C211yesmaximal, characteristic, complemented
2#59080C211yesmaximal, characteristic, complemented
3#59064C211yesmaximal, characteristic, complemented
4#59039C211yesmaximal, characteristic, complemented
5#58014C214yesmaximal, complemented
6#57275C214yesmaximal, complemented
7#56919C214yesmaximal, complemented
8#55171C214yesmaximal, complemented
9#53106C212yesmaximal, complemented
10#53080C212yesmaximal, complemented
11#52984C212yesmaximal, complemented
12#52964C212yesmaximal, complemented
13#45319C212yesmaximal, complemented
14#45146C212yesmaximal, complemented
15#42872C212yesmaximal, complemented
16#42797C212yesmaximal, complemented
17#42742C212yesmaximal, complemented
18#42612C212yesmaximal, complemented
19#42560C212yesmaximal, complemented
20#42547C212yesmaximal, complemented
21#39810C212yesmaximal, complemented
22#39771C211yesmaximal, characteristic, complemented
23#39745C211yesmaximal, characteristic, complemented
24#39643C211yesmaximal, characteristic, complemented
25#39628C212yesmaximal, complemented
26#39363C211yesmaximal, characteristic, complemented
27#39201C211yesmaximal, characteristic, complemented
28#39168C211yesmaximal, characteristic, complemented
29#37587C212yesmaximal, complemented
30#37322C212yesmaximal, complemented
31#36595C211yesmaximal, characteristic, complemented
32Q8×#124C211yesmaximal, characteristic, complemented
33#35293C211yesmaximal, characteristic, complemented
34#34916C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#559C2212yes—
38C2×Q82C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42C2×#536C2212yes—
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45#2867C2211yescharacteristic
46#2862C2212yes—
47#2862C2211yescharacteristic
48#2858C2211yescharacteristic
49#2858C2211yescharacteristic
50#2858C2212yes—
51#2837C2214yes—
52#2832C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2827C2214yes—
56#2826C2214yes—
57#2824C2214yes—
58#2824C2214yes—
59#2824C2214yes—
60#2819C2214yes—
61#2816C2214yes—
62#2813C2214yes—
63#2804C2214yes—
64#2804C2214yes—
65#2799C2214yes—
66#2797C2214yes—
67#2796C2214yes—
68#2782C2214yes—
69#2755C2214yes—
70#2752C2214yes—
71#2751C2214yes—
72#2751C2214yes—
73#2751C2214yes—
74#2750C2214yes—
75#2743C2214yes—
76#2732C2214yes—
77#2732C2214yes—
78#2731C2214yes—
79#2730C2214yes—
80#2730C2214yes—
81#2730C2214yes—
82#2728C2214yes—
83#2712C2214yes—
84#2712C2214yes—
85#2712C2214yes—
86#2712C2214yes—
87#2710C2214yes—
88#2710C2214yes—
89#2710C2214yes—
90#2708C2214yes—
91#2708C2214yes—
92#2706C2214yes—
93#2700C2214yes—
94#2700C2214yes—
95#2696C2214yes—
96#2693C2214yes—
97#2687C2214yes—
98#2687C2214yes—
99#2686C2214yes—
100#2686C2214yes—
101#2681C2214yes—
102#2681C2214yes—
103#2681C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2674C2214yes—
107#2674C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2671C2214yes—
111#2661C2214yes—
112#2657C2212yes—
113#2654C2212yes—
114#2653C2212yes—
115#2653C2214yes—
116#2650C2212yes—
117#2649C2212yes—
118#2648C2214yes—
119#2647C2211yescharacteristic
120#2647C2212yes—
121#2645C2211yescharacteristic
122#2644C2211yescharacteristic
123#2643C2214yes—
124#2640C2212yes—
125#2640C2211yescharacteristic
126#2640C2212yes—
127#2639C2214yes—
128#2635C2214yes—
129#2630C2214yes—
130#2630C2214yes—
131#2628C2211yescharacteristic
132#2625C2211yescharacteristic
133#2624C2212yes—
134#2624C2211yescharacteristic
135#2620C2212yes—
136#2620C2211yescharacteristic
137#2619C2212yes—
138#2619C2212yes—
139#2602C2214yes—
140#2592C2212yes—
141#2590C2212yes—
142#2589C2212yes—
143#2588C2212yes—
144#2587C2212yes—
145#2582C2212yes—
146#2580C2212yes—
147#2580C2212yes—
148#2568C2212yes—
149#2568C2211yescharacteristic
150#2568C2212yes—
151#2567C2211yescharacteristic
152#2563C2211yescharacteristic
153#2563C2212yes—
154#2557C2214yes—
155#2557C2214yes—
156#2548C2211yescharacteristic
157#2548C2212yes—
158#2548C2212yes—
159#2548C2211yescharacteristic
160#2548C2212yes—
161#2548C2211yescharacteristic
162#2547C2212yes—
163#2546C2211yescharacteristic
164#2545C2212yes—
165#2544C2212yes—
166#2544C2212yes—
167#2544C2212yes—
168#2544C2212yes—
169#2544C2212yes—
170#2544C2214yes—
171#2542C2212yes—
172#2541C2211yescharacteristic
173#2541C2212yes—
174#2537C2212yes—
175#2513C2212yes—
176#2513C2212yes—
177#2511C2212yes—
178#2511C2211yescharacteristic
179#2509C2212yes—
180#2508C2212yes—
181#2507C2211yescharacteristic
182#2497C2211yescharacteristic
183#2492C2212yes—
184#2492C2214yes—
185#2492C2211yescharacteristic
186#2492C2212yes—
187#2492C2214yes—
188#2491C2212yes—
189#2491C2212yes—
190#2491C2212yes—
191#2491C2212yes—
192#2488C2214yes—
193#2464C2214yes—
194#2463C2214yes—
195#2459C2214yes—
196#2457C2214yes—
197#2452C2212yes—
198#2452C2212yes—
199#2452C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2451C2211yescharacteristic
205#2450C2214yes—
206#2450C2214yes—
207#2450C2214yes—
208#2450C2214yes—
209#2448C2212yes—
210#2448C2212yes—
211#2448C2212yes—
212#2447C2212yes—
213#2447C2212yes—
214#2447C2212yes—
215#2447C2212yes—
216#2446C2212yes—
217#2446C2211yescharacteristic
218#2445C2212yes—
219#2445C2214yes—
220#2445C2212yes—
221#2445C2212yes—
222#2445C2212yes—
223#2445C2212yes—
224#2445C2212yes—
225#2436C2212yes—
226#2436C2212yes—
227#2432C2212yes—
228#2432C2212yes—
229#2432C2214yes—
230#2431C2212yes—
231#2431C2212yes—
232#2431C2212yes—
233#2431C2212yes—
234#2431C2212yes—
235#2431C2212yes—
236#2430C2214yes—
237#2429C2211yescharacteristic
238#2428C2212yes—
239#2428C2212yes—
240#2428C2212yes—
241#2428C2212yes—
242#2427C2212yes—
243#2426C2212yes—
244#2426C2212yes—
245#2426C2212yes—
246#2425C2214yes—
247#2423C2211yescharacteristic
248#2422C2212yes—
249#2422C2212yes—
250#2420C2212yes—
251#2420C2212yes—
252#2419C2214yes—
253#2407C2212yes—
254#2407C2212yes—
255#2402C2212yes—
256#2401C2212yes—
257#2398C2212yes—
258#2396C2212yes—
259#2396C2212yes—
260#2395C2212yes—
261#2369C2211yescharacteristic
262#2367C2212yes—
263#2367C2212yes—
264#2366C2211yescharacteristic
265#2366C2212yes—
266#2366C2211yescharacteristic
267#2366C2212yes—
268#2365C2211yescharacteristic
269#2349C2212yes—
270#2349C2212yes—
271Q8×C22⋊C4C2212yes—
272Q8×C22⋊C4C2212yes—
273#2339C2212yes—
274#2339C2212yes—
275#2331C2212yes—
276#2328C2212yes—
277#2328C2212yes—
278#2328C2212yes—
279#2326C2212yes—
280#2326C2212yes—
281#2324C2212yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×#127C2212yes—
286C4×#124C2211yescharacteristic
287C4×#124C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2298C2212yes—
293#2295C2211yescharacteristic
294#2295C2211yescharacteristic
295#2295C2212yes—
296#2293C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303#559—44no—
304#559—48no—
305Q82—44no—
306#550—44no—
307D4×Q8—44no—
308#548—48no—
309#536—48no—
310#532—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2314yes—
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
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×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C22×C42C2311yescharacteristic
411#401C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#395C2314yes—
487#395C2312yes—
488#395C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
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#394C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#393C2312yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2312yes—
538#393C2312yes—
539#393C2312yes—
540#393C2314yes—
541#393C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#391C2311yescharacteristic
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2314yes—
567#391C2312yes—
568#391C2314yes—
569#391C2312yes—
570#391C2314yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2314yes—
578#391C2314yes—
579#391C2312yes—
580#391C2312yes—
581#391C2314yes—
582#391C2314yes—
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2314yes—
587#391C2311yescharacteristic
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2314yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
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#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
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#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2314yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2314yes—
754#382C2311yescharacteristic
755#382C2312yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2311yescharacteristic
812#376C2311yescharacteristic
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2312yes—
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×Q8—28no—
829C22×Q8—44no—
830C22×Q8—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2414yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C4⋊Q8—24no—
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872C4⋊Q8—24no—
873C4⋊Q8—42no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—44no—
877C4⋊Q8—44no—
878C4⋊Q8—48no—
879#127—24no—
880#127—24no—
881#127—28no—
882#127—44no—
883#127—44no—
884#127—44no—
885#127—44no—
886#127—44no—
887#127—82no—
888#127—82no—
889#124—28no—
890#124—28no—
891#124—24no—
892#124—48no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—44no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—48no—
901#124—84no—
902#124—82no—
903#124—82no—
904#124—84no—
905#124—84no—
906#123—48no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—84no—
912#123—84no—
913C22⋊Q8—24no—
914C22⋊Q8—48no—
915C22⋊Q8—48no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—42no—
919C22⋊Q8—42no—
920C22⋊Q8—44no—
921C22⋊Q8—84no—
922C22⋊Q8—84no—
923C22⋊Q8—84no—
924#121—48no—
925#121—48no—
926#121—42no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—84no—
935#121—84no—
936#121—84no—
937C4×Q8—24no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—44no—
942C4×Q8—44no—
943C4×Q8—42no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×D4—24no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—44no—
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—
961C4×D4—44no—
962C4×D4—48no—
963C4×D4—84no—
964#117—24no—
965#117—42no—
966#117—44no—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C42—24no—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
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#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2514yes—
1194C24C2511yescharacteristic
1195C24C2514yes—
1196C24C2512yes—
1197#41—816no—
1198#41—816no—
1199#41—816no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—28no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—44no—
1226C2×Q8—816no—
1227C2×Q8H(5,𝔽2)14yes—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
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—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—28no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—24no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
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—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—28no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—24no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—44no—
1488C42—42no—
1489C42—42no—
1490C42—44no—
1491C42—42no—
1492C42—41no—
1493C42—41no—
1494C42—44no—
1495C42—41no—
1496C42—41no—
1497C42H(5,𝔽2)14yes—
1498C422−1+414yes—
1499C23—24no—
1500C23—21no—
1501C23—24no—
1502C23—22no—
1503C23—24no—
1504C23—22no—
1505C23—24no—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—24no—
1510C23—24no—
1511C23—21no—
1512C23—24no—
1513C23—21no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—24no—
1522C23—22no—
1523C23—24no—
1524C23—24no—
1525C23—24no—
1526C23—21no—
1527C23C2611yescharacteristic
1528Q8—28no—
1529Q8—44no—
1530Q8—48no—
1531Q8—44no—
1532Q8—84no—
1533Q8—88no—
1534Q8—84no—
1535Q8—84no—
1536Q8—164no—
1537D4—44no—
1538D4—48no—
1539D4—48no—
1540D4—48no—
1541D4—48no—
1542D4—84no—
1543D4—88no—
1544D4—88no—
1545D4—84no—
1546D4—84no—
1547D4—88no—
1548D4—88no—
1549D4—88no—
1550D4—88no—
1551D4—164no—
1552D4—164no—
1553D4—164no—
1554D4—164no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—21no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—48no—
1641C2×C4—44no—
1642C2×C4—88no—
1643C2×C4—88no—
1644C2×C4—88no—
1645C2×C4—88no—
1646C2×C4—164no—
1647C2×C4—164no—
1648C2×C4—164no—
1649C2×C4C2×H(5,𝔽2)12yes—
1650C2×C4C2×H(5,𝔽2)14yes—
1651C2×C4C2×H(5,𝔽2)12yes—
1652C2×C4C2×H(5,𝔽2)12yes—
1653C2×C4C2×H(5,𝔽2)12yes—
1654C2×C4C2×2−1+412yes—
1655C2×C4C2×2−1+412yes—
1656C2×C4C2×2−1+412yes—
1657C2×C4#58512yes—
1658C2×C4#58512yes—
1659C22—42no—
1660C22—41no—
1661C22—44no—
1662C22—44no—
1663C22—41no—
1664C22—42no—
1665C22—44no—
1666C22—44no—
1667C22—41no—
1668C22—44no—
1669C22—44no—
1670C22—42no—
1671C22—44no—
1672C22—44no—
1673C22—41no—
1674C22—42no—
1675C22—44no—
1676C22—44no—
1677C22—42no—
1678C22—41no—
1679C22—44no—
1680C22—44no—
1681C22—41no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—44no—
1686C22—41no—
1687C22C22×H(5,𝔽2)11yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×2−1+411yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22H(7,𝔽2)11yescharacteristic
1693C22H(7,𝔽2)11yescharacteristic
1694C4—24no—
1695C4—22no—
1696C4—22no—
1697C4—22no—
1698C4—41no—
1699C4—42no—
1700C4—42no—
1701C4—44no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—44no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—41no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—42no—
1722C4—41no—
1723C4#355414yes—
1724C4#355814yes—
1725C2—82no—
1726C2—81no—
1727C2—84no—
1728C2—84no—
1729C2C2×#355811yescharacteristic
1730C2C2×#355411yescharacteristic
1731C2#6287611yescharacteristic
1732C2#6291711yescharacteristic
1733C2#6292311yescharacteristic
1734C2#6296211yescharacteristic
1735C2#6296611yescharacteristic
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. #59084C2semidirect
2. #59080C2semidirect
3. #59064C2semidirect
4. #59039C2semidirect
5. #58014C2semidirect
6. #57275C2semidirect
7. #56919C2semidirect
8. #55171C2semidirect
9. #53106C2semidirect
10. #53080C2semidirect
11. #52984C2semidirect
12. #52964C2semidirect
13. #45319C2semidirect
14. #45146C2semidirect
15. #42872C2semidirect
16. #42797C2semidirect
17. #42742C2semidirect
18. #42612C2semidirect
19. #42560C2semidirect
20. #42547C2semidirect
21. #39810C2semidirect
22. #39771C2semidirect
23. #39745C2semidirect
24. #39643C2semidirect
25. #39628C2semidirect
26. #39363C2semidirect
27. #39201C2semidirect
28. #39168C2semidirect
29. #37587C2semidirect
30. #37322C2semidirect
31. #36595C2semidirect
32. Q8×#124C2semidirect
33. #35293C2semidirect
34. #34916C2semidirect
35. #34619C2semidirect

Maximal subgroups

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

subgroupindex
#590842
#590802
#590642
#590392
#580142
#572752
#569192
#551712
#531062
#530802
#529842
#529642
#453192
#451462
#428722
#427972
#427422
#426122
#425602
#425472
#398102
#397712
#397452
#396432
#396282
#393632
#392012
#391682
#375872
#373222
#365952
Q8×#1242
#352932
#349162
#346192