Finite Group Databasebeta

← #7657674

Subgroups — #7657674

Order 512.

4524 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42954C212yesmaximal
2#42931C212yesmaximal
3#42497C212yesmaximal, complemented
4#42494C212yesmaximal, complemented
5#42008C214yesmaximal, complemented
6#42007C214yesmaximal, complemented
7#42003C214yesmaximal, complemented
8#42001C214yesmaximal, complemented
9#39754C211yesmaximal, characteristic, complemented
10#39753C211yesmaximal, characteristic, complemented
11#39626C211yesmaximal, characteristic, complemented
12#39625C211yesmaximal, characteristic, complemented
13#37879C212yesmaximal, complemented
14#37878C212yesmaximal, complemented
15#37691C212yesmaximal, complemented
16#37690C212yesmaximal, complemented
17#37624C211yesmaximal, characteristic, complemented
18#37624C212yesmaximal, complemented
19#37623C211yesmaximal, characteristic, complemented
20#37567C212yesmaximal, complemented
21#36194C211yesmaximal, characteristic, complemented
22#36192C211yesmaximal, characteristic, complemented
23#36134C211yesmaximal, characteristic, complemented
24#36132C211yesmaximal, characteristic, complemented
25#35936C212yesmaximal, complemented
26#35867C212yesmaximal, complemented
27#35815C212yesmaximal, complemented
28#35747C212yesmaximal, complemented
29#35304C212yesmaximal, complemented
30#35275C211yesmaximal, characteristic, complemented
31#34642C212yesmaximal, complemented
32#34625C211yesmaximal, characteristic, complemented
33#34193C211yesmaximal, characteristic
34#34188C211yesmaximal, characteristic
35#34123C211yesmaximal, characteristic
36C2×#544C2212yes—
37C2×#533C2212yes—
38C2×#533C2212yes—
39C2×C4×#41C2211yescharacteristic
40#2868C2211yescharacteristic
41#2868C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2857C2212yes—
45#2857C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2843C2214yes—
49#2841C2214yes—
50#2841C2214yes—
51#2841C2214yes—
52#2841C2214yes—
53#2841C2214yes—
54#2806C2214yes—
55#2802C2214yes—
56#2792C2214yes—
57#2792C2214yes—
58#2791C2214yes—
59#2788C2214yes—
60#2784C2214yes—
61#2780C2214yes—
62#2774C2214yes—
63#2768C2214yes—
64#2748C2214yes—
65#2742C2214yes—
66#2734C2214yes—
67#2732C2214yes—
68#2729C2214yes—
69#2720C2214yes—
70#2713C2214yes—
71#2704C2214yes—
72#2704C2214yes—
73#2692C2214yes—
74#2692C2214yes—
75#2692C2214yes—
76#2683C2214yes—
77#2677C2214yes—
78#2667C2212yes—
79#2667C2214yes—
80#2666C2214yes—
81#2666C2214yes—
82#2666C2212yes—
83#2666C2214yes—
84#2666C2214yes—
85#2666C2212yes—
86#2666C2214yes—
87#2665C2212yes—
88#2665C2214yes—
89#2660C2212yes—
90#2660C2212yes—
91#2660C2212yes—
92#2660C2211yescharacteristic
93#2660C2211yescharacteristic
94#2660C2212yes—
95#2660C2212yes—
96#2660C2212yes—
97#2660C2212yes—
98#2660C2212yes—
99#2660C2212yes—
100#2659C2214yes—
101#2659C2214yes—
102#2659C2214yes—
103#2659C2214yes—
104#2647C2212yes—
105#2647C2211yescharacteristic
106#2647C2211yescharacteristic
107#2647C2212yes—
108#2647C2212yes—
109#2629C2214yes—
110#2629C2211yescharacteristic
111#2629C2211yescharacteristic
112#2629C2212yes—
113#2628C2214yes—
114#2628C2211yescharacteristic
115#2628C2211yescharacteristic
116#2628C2212yes—
117#2627C2214yes—
118#2612C2214yes—
119#2612C2214yes—
120#2606C2214yes—
121#2606C2214yes—
122#2605C2214yes—
123#2605C2214yes—
124#2590C2214yes—
125#2589C2214yes—
126#2588C2214yes—
127#2587C2214yes—
128#2586C2214yes—
129#2585C2214yes—
130#2584C2212yes—
131#2582C2212yes—
132#2581C2212yes—
133#2574C2214yes—
134#2571C2211yescharacteristic
135#2571C2211yescharacteristic
136#2571C2212yes—
137#2570C2212yes—
138#2570C2214yes—
139#2570C2212yes—
140#2570C2212yes—
141#2569C2214yes—
142#2567C2212yes—
143#2567C2212yes—
144#2565C2212yes—
145#2563C2212yes—
146#2556C2214yes—
147#2552C2212yes—
148#2552C2211yescharacteristic
149#2552C2211yescharacteristic
150#2552C2212yes—
151#2552C2211yescharacteristic
152#2552C2212yes—
153#2552C2211yescharacteristic
154#2552C2212yes—
155#2551C2212yes—
156#2551C2212yes—
157#2551C2212yes—
158#2551C2211yescharacteristic
159#2551C2211yescharacteristic
160#2551C2212yes—
161#2550C2212yes—
162#2550C2214yes—
163#2550C2212yes—
164#2550C2212yes—
165#2550C2212yes—
166#2549C2214yes—
167#2542C2212yes—
168#2538C2212yes—
169#2538C2212yes—
170#2522C2214yes—
171#2522C2214yes—
172#2508C2212yes—
173#2507C2212yes—
174#2507C2212yes—
175#2506C2212yes—
176#2497C2214yes—
177#2492C2214yes—
178#2465C2214yes—
179#2465C2214yes—
180#2465C2214yes—
181#2465C2214yes—
182#2462C2214yes—
183#2462C2214yes—
184#2454C2212yes—
185#2454C2212yes—
186#2453C2212yes—
187#2452C2212yes—
188#2452C2212yes—
189#2451C2214yes—
190#2451C2212yes—
191#2451C2212yes—
192#2451C2212yes—
193#2446C2214yes—
194#2442C2212yes—
195#2442C2212yes—
196#2441C2212yes—
197#2441C2212yes—
198#2441C2212yes—
199#2441C2212yes—
200#2441C2212yes—
201#2440C2212yes—
202#2440C2212yes—
203#2440C2212yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2439C2212yes—
208#2439C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2438C2214yes—
213#2438C2214yes—
214#2429C2214yes—
215#2429C2214yes—
216#2423C2214yes—
217#2423C2214yes—
218#2402C2212yes—
219#2399C2214yes—
220#2399C2214yes—
221#2399C2214yes—
222#2399C2214yes—
223#2399C2212yes—
224#2396C2212yes—
225#2396C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2212yes—
229#2365C2212yes—
230#2365C2212yes—
231#2365C2212yes—
232#2356C2211yescharacteristic
233#2356C2211yescharacteristic
234#2355C2212yes—
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2354C2212yes—
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2354C2212yes—
245#2353C2212yes—
246#2353C2212yes—
247#2352C2214yes—
248#2352C2212yes—
249#2352C2212yes—
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253#2349C2211yescharacteristic
254#2349C2211yescharacteristic
255#2347C2214yes—
256#2347C2212yes—
257#2346C2211yescharacteristic
258#2346C2211yescharacteristic
259#2343C2212yes—
260#2343C2212yes—
261#2341C2212yes—
262#2339C2211yescharacteristic
263#2339C2211yescharacteristic
264#2331C2212yes—
265#2331C2212yes—
266#2330C2212yes—
267#2330C2212yes—
268#2319C2212yes—
269#2319C2214yes—
270#2317C2212yes—
271#2314C2214yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277#2295C2211yescharacteristic
278#2295C2211yescharacteristic
279#2290C2212yes—
280#2290C2212yes—
281#2285C2211yescharacteristic
282#2285C2212yes—
283#2285C2212yes—
284#2285C2212yes—
285#2285C2212yes—
286#2285C2212yes—
287#2285C2211yescharacteristic
288C2×#384C2211yescharacteristic
289#2283C2211yescharacteristic
290#2283C2212yes—
291#2283C2211yescharacteristic
292#2283C2212yes—
293#2276C2212yes—
294#2274C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300#544—48no—
301#533—48no—
302#533—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C4×#41Q8116yescomplemented
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2314yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2314yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C42C2312yes—
370C22×C42C2312yes—
371C22×C42C2312yes—
372C22×C42C2311yescharacteristic
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2312yes—
396#399C2312yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2312yes—
456#396C2312yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2312yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2312yes—
475#395C2314yes—
476#395C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2312yes—
481#395C2312yes—
482#395C2312yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#393C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#384C2311yescharacteristic
656#384C2311yescharacteristic
657#384C2312yes—
658#384C2312yes—
659#384C2314yes—
660#384C2312yes—
661#384C2312yes—
662#384C2312yes—
663#384C2312yes—
664#384C2311yescharacteristic
665#384C2311yescharacteristic
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#383C2312yes—
680#383C2312yes—
681#383C2314yes—
682#383C2312yes—
683#383C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2314yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2312yes—
704#381C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797#376C2314yes—
798#376C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C2×#41—42no—
815C2×#41—42no—
816C2×#41C2×Q818yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—48no—
848C4⋊Q8—84no—
849C4⋊Q8—82no—
850C4⋊Q8—82no—
851#125—24no—
852#125—28no—
853#125—24no—
854#125—44no—
855#125—44no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—48no—
860#125—84no—
861C22⋊Q8—48no—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—84no—
868C22⋊Q8—84no—
869C22⋊Q8—84no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—48no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—48no—
877C4×Q8—48no—
878C4×Q8C2×Q818yes—
879C4×Q8C2×Q818yes—
880C4×D4—42no—
881C4×D4—42no—
882C4×D4—42no—
883C4×D4—42no—
884C4×D4C2×Q818yes—
885C4×D4C2×Q8116yes—
886C4×D4C2×Q818yes—
887C4×D4C2×Q8116yes—
888#117—24no—
889#117—24no—
890#117—44no—
891#117—44no—
892#117—44no—
893#117—44no—
894#117—44no—
895#117—44no—
896#117—84no—
897#117C2×Q818yes—
898#117C2×Q8116yes—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—82no—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C42—28no—
1022C2×C42—28no—
1023C2×C42C2×Q818yes—
1024C2×C42C2×Q8116yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2511yescharacteristic
1150C24C2512yes—
1151#41—416no—
1152C2×Q8—24no—
1153C2×Q8—28no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—44no—
1172C2×Q8C22×Q814yes—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4C22×Q814yes—
1178C2×D4C22×Q818yes—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—41no—
1190C22×C4—42no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4C22×Q814yes—
1207C22×C4C22×Q814yes—
1208C22×C4C22×Q818yes—
1209C22×C4C22×Q818yes—
1210C22×C4C22×Q814yes—
1211C22×C4C22×Q818yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4C22×Q818yes—
1335C4⋊C4C22×Q818yes—
1336C4⋊C4C22×Q814yes—
1337C4⋊C4C22×Q814yes—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4C22×Q818yes—
1362C22⋊C4C22×Q818yes—
1363C22⋊C4C22×Q818yes—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—24no—
1380C42—41no—
1381C42—41no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—41no—
1392C42—41no—
1393C42C22×Q814yes—
1394C42C22×Q818yes—
1395C42C22×Q814yes—
1396C42C22×Q818yes—
1397C42C22×Q814yes—
1398C42C22×Q818yes—
1399C42C22×Q814yes—
1400C42H(5,𝔽2)14yes—
1401C422−1+414yes—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23C23×Q812yes—
1415C23C23×Q814yes—
1416C23C2611yescharacteristic
1417Q8—28no—
1418Q8—48no—
1419Q8—84no—
1420Q8—88no—
1421Q8—88no—
1422Q8—88no—
1423Q8—164no—
1424D4—28no—
1425D4—48no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—28no—
1449C2×C4—216no—
1450C2×C4—28no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—44no—
1512C2×C4—48no—
1513C2×C4—48no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—84no—
1517C2×C4—84no—
1518C2×C4—164no—
1519C2×C4C23×Q812yes—
1520C2×C4C23×Q812yes—
1521C2×C4C23×Q814yes—
1522C2×C4C23×Q812yes—
1523C2×C4C23×Q814yes—
1524C2×C4C23×Q812yes—
1525C2×C4C23×Q814yes—
1526C2×C4C23×Q812yes—
1527C2×C4C23×Q812yes—
1528C2×C4C2×H(5,𝔽2)12yes—
1529C2×C4C2×H(5,𝔽2)12yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4#58512yes—
1535C2×C4#58512yes—
1536C22—22no—
1537C22—24no—
1538C22—24no—
1539C22—22no—
1540C22—22no—
1541C22—24no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—42no—
1549C22—41no—
1550C22C24×Q811yescharacteristic
1551C22C22×H(5,𝔽2)11yescharacteristic
1552C22C22×2−1+411yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22C2×#58511yescharacteristic
1555C22H(7,𝔽2)11yescharacteristic
1556C222−1+611yescharacteristic
1557C4—24no—
1558C4—22no—
1559C4—22no—
1560C4—24no—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—24no—
1566C4—22no—
1567C4—22no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—42no—
1574C4—41no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—44no—
1581C4—44no—
1582C4—42no—
1583C4—44no—
1584C4—41no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4#345814yes—
1589C4#350314yes—
1590C2—42no—
1591C2—44no—
1592C2C2×#345811yescharacteristic
1593C2C2×#350311yescharacteristic
1594C2#6285411yescharacteristic
1595C2#6292511yescharacteristic
1596C2#6292911yescharacteristic
1597C2#6295511yescharacteristic
1598C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. #42497C2semidirect
4. #42494C2semidirect
5. #42008C2semidirect
6. #42007C2semidirect
7. #42003C2semidirect
8. #42001C2semidirect
9. #39754C2semidirect
10. #39753C2semidirect
11. #39626C2semidirect
12. #39625C2semidirect
13. #37879C2semidirect
14. #37878C2semidirect
15. #37691C2semidirect
16. #37690C2semidirect
17. #37624C2semidirect
18. #37624C2semidirect
19. #37623C2semidirect
20. #37567C2semidirect
21. #36194C2semidirect
22. #36192C2semidirect
23. #36134C2semidirect
24. #36132C2semidirect
25. #35936C2semidirect
26. #35867C2semidirect
27. #35815C2semidirect
28. #35747C2semidirect
29. #35304C2semidirect
30. #35275C2semidirect
31. #34642C2semidirect
32. #34625C2semidirect
336. C4×#41Q8semidirect

Maximal subgroups

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

subgroupindex
#429542
#429312
#424972
#424942
#420082
#420072
#420032
#420012
#397542
#397532
#396262
#396252
#378792
#378782
#376912
#376902
#376242
#376232
#375672
#361942
#361922
#361342
#361322
#359362
#358672
#358152
#357472
#353042
#352752
#346422
#346252
#341932
#341882
#341232