Finite Group Databasebeta

← #7732078

Subgroups — #7732078

Order 512.

4392 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48850C214yesmaximal
2#47976C214yesmaximal
3#47731C214yesmaximal, complemented
4#47727C214yesmaximal, complemented
5#45273C212yesmaximal
6#45272C212yesmaximal
7#45099C212yesmaximal
8#44923C212yesmaximal
9#39753C211yesmaximal, characteristic, complemented
10#39749C212yesmaximal, complemented
11#39680C212yesmaximal, complemented
12#39673C212yesmaximal, complemented
13#39626C212yesmaximal, complemented
14#39625C211yesmaximal, characteristic, complemented
15#39625C212yesmaximal, complemented
16#39612C212yesmaximal, complemented
17#39183C211yesmaximal, characteristic, complemented
18#39183C211yesmaximal, characteristic, complemented
19#39180C212yesmaximal, complemented
20#39176C212yesmaximal, complemented
21#37623C211yesmaximal, characteristic
22#37313C212yesmaximal
23#37312C212yesmaximal
24#36593C211yesmaximal, characteristic, complemented
25#36563C211yesmaximal, characteristic, complemented
26#36535C211yesmaximal, characteristic, complemented
27#36466C211yesmaximal, characteristic, complemented
28#35579C212yesmaximal
29#35578C212yesmaximal
30#35275C211yesmaximal, characteristic
31#35202C211yesmaximal, characteristic
32#34912C211yesmaximal, characteristic
33#34373C211yesmaximal, characteristic
34#34214C211yesmaximal, characteristic
35#34085C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#557C2212yes—
38C2×#544C2212yes—
39C2×#533C2211yescharacteristic
40#2868C2211yescharacteristic
41#2868C2212yes—
42#2868C2211yescharacteristic
43#2864C2212yes—
44#2864C2212yes—
45#2859C2212yes—
46#2859C2211yescharacteristic
47#2859C2212yes—
48#2859C2211yescharacteristic
49#2859C2212yes—
50#2843C2214yes—
51#2809C2214yes—
52#2807C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2805C2214yes—
56#2802C2214yes—
57#2802C2214yes—
58#2802C2214yes—
59#2802C2214yes—
60#2799C2214yes—
61#2792C2214yes—
62#2792C2214yes—
63#2792C2214yes—
64#2792C2214yes—
65#2792C2214yes—
66#2791C2214yes—
67#2791C2214yes—
68#2791C2214yes—
69#2791C2214yes—
70#2790C2214yes—
71#2774C2214yes—
72#2768C2214yes—
73#2755C2214yes—
74#2755C2214yes—
75#2734C2214yes—
76#2734C2214yes—
77#2734C2214yes—
78#2734C2214yes—
79#2729C2214yes—
80#2726C2214yes—
81#2726C2214yes—
82#2726C2214yes—
83#2726C2214yes—
84#2720C2214yes—
85#2720C2214yes—
86#2713C2214yes—
87#2713C2214yes—
88#2713C2214yes—
89#2704C2214yes—
90#2677C2214yes—
91#2667C2214yes—
92#2660C2212yes—
93#2660C2212yes—
94#2660C2212yes—
95#2660C2212yes—
96#2660C2212yes—
97#2660C2212yes—
98#2647C2212yes—
99#2647C2212yes—
100#2647C2212yes—
101#2647C2212yes—
102#2627C2214yes—
103#2608C2212yes—
104#2607C2212yes—
105#2606C2212yes—
106#2606C2214yes—
107#2605C2212yes—
108#2590C2214yes—
109#2590C2214yes—
110#2590C2214yes—
111#2590C2214yes—
112#2589C2214yes—
113#2588C2214yes—
114#2588C2214yes—
115#2588C2214yes—
116#2587C2214yes—
117#2586C2214yes—
118#2585C2214yes—
119#2585C2214yes—
120#2584C2212yes—
121#2584C2214yes—
122#2584C2214yes—
123#2582C2214yes—
124#2582C2212yes—
125#2581C2212yes—
126#2571C2211yescharacteristic
127#2570C2211yescharacteristic
128#2570C2212yes—
129#2570C2212yes—
130#2570C2211yescharacteristic
131#2570C2212yes—
132#2570C2212yes—
133#2567C2212yes—
134#2567C2212yes—
135#2567C2214yes—
136#2565C2212yes—
137#2565C2212yes—
138#2565C2212yes—
139#2565C2212yes—
140#2556C2214yes—
141#2556C2214yes—
142#2552C2212yes—
143#2552C2212yes—
144#2552C2212yes—
145#2552C2212yes—
146#2552C2212yes—
147#2552C2212yes—
148#2552C2211yescharacteristic
149#2552C2211yescharacteristic
150#2552C2212yes—
151#2552C2212yes—
152#2552C2211yescharacteristic
153#2552C2211yescharacteristic
154#2552C2212yes—
155#2552C2211yescharacteristic
156#2552C2212yes—
157#2552C2214yes—
158#2552C2211yescharacteristic
159#2552C2212yes—
160#2551C2212yes—
161#2551C2212yes—
162#2551C2214yes—
163#2551C2212yes—
164#2551C2211yescharacteristic
165#2551C2212yes—
166#2551C2212yes—
167#2550C2212yes—
168#2550C2212yes—
169#2550C2211yescharacteristic
170#2550C2212yes—
171#2550C2212yes—
172#2550C2211yescharacteristic
173#2550C2214yes—
174#2550C2212yes—
175#2550C2212yes—
176#2546C2212yes—
177#2546C2214yes—
178#2522C2214yes—
179#2509C2212yes—
180#2509C2212yes—
181#2507C2212yes—
182#2507C2214yes—
183#2507C2214yes—
184#2507C2214yes—
185#2506C2212yes—
186#2506C2214yes—
187#2465C2214yes—
188#2462C2214yes—
189#2462C2214yes—
190#2462C2214yes—
191#2462C2214yes—
192#2462C2214yes—
193#2453C2214yes—
194#2453C2212yes—
195#2453C2212yes—
196#2451C2214yes—
197#2451C2212yes—
198#2451C2212yes—
199#2451C2214yes—
200#2451C2214yes—
201#2446C2214yes—
202#2442C2212yes—
203#2442C2212yes—
204#2441C2212yes—
205#2441C2211yescharacteristic
206#2441C2211yescharacteristic
207#2441C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2439C2211yescharacteristic
217#2439C2211yescharacteristic
218#2429C2214yes—
219#2423C2214yes—
220#2396C2212yes—
221#2396C2212yes—
222#2378C2214yes—
223#2370C2212yes—
224#2369C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2360C2212yes—
228#2360C2214yes—
229#2360C2212yes—
230#2355C2212yes—
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2212yes—
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2351C2212yes—
239Q8×C4⋊C4C2212yes—
240Q8×C4⋊C4C2211yescharacteristic
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2212yes—
246#2336C2212yes—
247#2336C2212yes—
248#2336C2214yes—
249#2332C2212yes—
250#2332C2212yes—
251#2331C2211yescharacteristic
252#2331C2212yes—
253#2331C2212yes—
254#2331C2211yescharacteristic
255#2330C2212yes—
256#2330C2212yes—
257#2330C2212yes—
258#2330C2212yes—
259#2330C2212yes—
260#2330C2214yes—
261#2327C2211yescharacteristic
262#2327C2211yescharacteristic
263#2327C2212yes—
264#2323C2211yescharacteristic
265#2323C2211yescharacteristic
266#2323C2211yescharacteristic
267#2323C2211yescharacteristic
268#2317C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2314C2212yes—
272C4×C4⋊Q8C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2212yes—
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282#2298C2212yes—
283#2298C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—48no—
300#557—48no—
301#544—48no—
302#533Q8116yescomplemented
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2314yes—
335C2×#125C2314yes—
336C2×#125C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C42C2311yescharacteristic
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#399C2314yes—
385#399C2312yes—
386#399C2312yes—
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2312yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
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#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#396C2312yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2312yes—
441#396C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2312yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#393C2312yes—
465#393C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2314yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2314yes—
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2314yes—
709#384C2312yes—
710#384C2312yes—
711#383C2312yes—
712#383C2312yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2314yes—
729#381C2312yes—
730#381C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2314yes—
737#380C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×Q8C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2414yes—
825C23×C4C2411yescharacteristic
826C4⋊Q8—24no—
827C4⋊Q8—28no—
828C4⋊Q8—44no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—42no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—48no—
835C4⋊Q8—48no—
836C4⋊Q8—48no—
837C4⋊Q8—84no—
838C4⋊Q8—82no—
839C4⋊Q8—82no—
840C4⋊Q8—84no—
841C4⋊Q8C2×Q818yes—
842C4⋊Q8C2×Q818yes—
843#125—24no—
844#125—28no—
845#125—28no—
846#125—44no—
847#125—44no—
848#125—42no—
849#125—44no—
850#125—44no—
851#125—44no—
852#125—48no—
853#125—44no—
854#125—48no—
855#125—48no—
856#125—48no—
857#125—48no—
858#125—84no—
859#125C2×Q8116yes—
860C22⋊Q8—48no—
861C22⋊Q8—48no—
862C22⋊Q8—84no—
863C22⋊Q8C2×Q818yes—
864C22⋊Q8C2×Q818yes—
865C22⋊Q8C2×Q8116yes—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—48no—
878C4×Q8—84no—
879C4×Q8—84no—
880C4×Q8C2×Q818yes—
881C4×Q8C2×Q818yes—
882C4×Q8C2×Q8116yes—
883#117—24no—
884#117—24no—
885#117—24no—
886#117—42no—
887#117—44no—
888#117C2×Q8116yes—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4—82no—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C42C2×Q818yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2412yes—
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2412yes—
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#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2511yescharacteristic
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—28no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—42no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×Q8C22×Q814yes—
1167C2×Q8C22×Q814yes—
1168C2×Q8C22×Q818yes—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4C22×Q814yes—
1179C22×C4C22×Q814yes—
1180C22×C4C22×Q814yes—
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C4⋊C4—24no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4C22×Q818yes—
1311C4⋊C4C22×Q818yes—
1312C4⋊C4C22×Q818yes—
1313C4⋊C4C22×Q818yes—
1314C4⋊C4C22×Q818yes—
1315C4⋊C4C22×Q818yes—
1316C4⋊C4C22×Q818yes—
1317C4⋊C4C22×Q814yes—
1318C4⋊C4C22×Q814yes—
1319C4⋊C42−1+414yes—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—24no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4C22×Q818yes—
1332C22⋊C4C22×Q818yes—
1333C42—22no—
1334C42—24no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—22no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—41no—
1351C42—42no—
1352C42—42no—
1353C42—44no—
1354C42—41no—
1355C42—42no—
1356C42—42no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—42no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—41no—
1369C42—41no—
1370C42C22×Q814yes—
1371C42C22×Q814yes—
1372C42C22×Q814yes—
1373C42C22×Q814yes—
1374C42C22×Q818yes—
1375C42C22×Q818yes—
1376C42H(5,𝔽2)14yes—
1377C422−1+414yes—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23C23×Q812yes—
1385C23C2611yescharacteristic
1386Q8—28no—
1387Q8—28no—
1388Q8—48no—
1389Q8—48no—
1390Q8—88no—
1391Q8—84no—
1392Q8—88no—
1393Q8—164no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—28no—
1421C2×C4—28no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—24no—
1431C2×C4—24no—
1432C2×C4—24no—
1433C2×C4—24no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—44no—
1480C2×C4—164no—
1481C2×C4C23×Q812yes—
1482C2×C4C23×Q812yes—
1483C2×C4C23×Q812yes—
1484C2×C4C23×Q812yes—
1485C2×C4C23×Q814yes—
1486C2×C4C23×Q814yes—
1487C2×C4C23×Q814yes—
1488C2×C4C23×Q814yes—
1489C2×C4C23×Q812yes—
1490C2×C4C23×Q812yes—
1491C2×C4C2×H(5,𝔽2)12yes—
1492C2×C4C2×H(5,𝔽2)12yes—
1493C2×C4C2×H(5,𝔽2)12yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+414yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4#58512yes—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22C24×Q811yescharacteristic
1508C22C22×H(5,𝔽2)11yescharacteristic
1509C22C22×2−1+411yescharacteristic
1510C22C22×2−1+411yescharacteristic
1511C22C2×#58511yescharacteristic
1512C22H(7,𝔽2)11yescharacteristic
1513C222−1+611yescharacteristic
1514C4—22no—
1515C4—22no—
1516C4—24no—
1517C4—24no—
1518C4—22no—
1519C4—22no—
1520C4—24no—
1521C4—24no—
1522C4—24no—
1523C4—22no—
1524C4—22no—
1525C4—22no—
1526C4—22no—
1527C4—41no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—41no—
1533C4—42no—
1534C4—44no—
1535C4—44no—
1536C4—44no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—44no—
1541C4—41no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4#350214yes—
1547C4#350314yes—
1548C2—42no—
1549C2C2×#350211yescharacteristic
1550C2C2×#350311yescharacteristic
1551C2#6285411yescharacteristic
1552C2#6294511yescharacteristic
1553C2#6294611yescharacteristic
1554C2#6295511yescharacteristic
1555C2#6295611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #47731C2semidirect
4. #47727C2semidirect
9. #39753C2semidirect
10. #39749C2semidirect
11. #39680C2semidirect
12. #39673C2semidirect
13. #39626C2semidirect
14. #39625C2semidirect
15. #39625C2semidirect
16. #39612C2semidirect
17. #39183C2semidirect
18. #39183C2semidirect
19. #39180C2semidirect
20. #39176C2semidirect
24. #36593C2semidirect
25. #36563C2semidirect
26. #36535C2semidirect
27. #36466C2semidirect
302. #533Q8semidirect

Maximal subgroups

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

subgroupindex
#488502
#479762
#477312
#477272
#452732
#452722
#450992
#449232
#397532
#397492
#396802
#396732
#396262
#396252
#396122
#391832
#391802
#391762
#376232
#373132
#373122
#365932
#365632
#365352
#364662
#355792
#355782
#352752
#352022
#349122
#343732
#342142
#340852