Finite Group Databasebeta

← #7652440

Subgroups — #7652440

Order 512.

4408 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42826C212yesmaximal, complemented
2#42825C212yesmaximal, complemented
3#42824C212yesmaximal, complemented
4#42823C212yesmaximal, complemented
5#42822C212yesmaximal, complemented
6#42821C212yesmaximal, complemented
7#42819C212yesmaximal, complemented
8#42819C212yesmaximal, complemented
9#42181C214yesmaximal
10#42000C214yesmaximal
11#39979C212yesmaximal, complemented
12#39979C212yesmaximal, complemented
13#39975C212yesmaximal, complemented
14#39974C212yesmaximal, complemented
15#39754C212yesmaximal, complemented
16#39183C212yesmaximal, complemented
17#39182C212yesmaximal, complemented
18#39180C212yesmaximal, complemented
19#38449C214yesmaximal
20#38447C214yesmaximal
21#35668C211yesmaximal, characteristic
22#35662C211yesmaximal, characteristic
23#35640C211yesmaximal, characteristic
24#35566C211yesmaximal, characteristic
25#35543C211yesmaximal, characteristic
26#35543C211yesmaximal, characteristic
27#35335C211yesmaximal, characteristic
28#35265C211yesmaximal, characteristic
29#35179C211yesmaximal, characteristic
30#34938C211yesmaximal, characteristic
31#34815C211yesmaximal, characteristic
32C2×#2453C211yesmaximal, characteristic
33#34254C211yesmaximal, characteristic
34#34254C211yesmaximal, characteristic
35#34249C211yesmaximal, characteristic
36C2×#544C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43#2864C2212yes—
44#2859C2212yes—
45#2859C2212yes—
46#2859C2212yes—
47#2855C2214yes—
48#2845C2214yes—
49#2844C2214yes—
50#2843C2214yes—
51#2843C2214yes—
52#2806C2214yes—
53#2805C2214yes—
54#2805C2214yes—
55#2805C2214yes—
56#2802C2214yes—
57#2802C2214yes—
58#2802C2214yes—
59#2802C2214yes—
60#2802C2214yes—
61#2802C2214yes—
62#2792C2214yes—
63#2792C2214yes—
64#2792C2214yes—
65#2792C2214yes—
66#2791C2214yes—
67#2791C2214yes—
68#2791C2214yes—
69#2791C2214yes—
70#2774C2214yes—
71#2774C2214yes—
72#2774C2214yes—
73#2774C2214yes—
74#2755C2214yes—
75#2755C2214yes—
76#2755C2214yes—
77#2755C2214yes—
78#2734C2214yes—
79#2726C2214yes—
80#2726C2214yes—
81#2726C2214yes—
82#2713C2214yes—
83#2713C2214yes—
84#2666C2214yes—
85#2666C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2666C2214yes—
89#2666C2214yes—
90#2666C2214yes—
91#2666C2214yes—
92#2660C2212yes—
93#2660C2212yes—
94#2660C2214yes—
95#2647C2214yes—
96#2647C2214yes—
97#2647C2214yes—
98#2647C2212yes—
99#2647C2212yes—
100#2627C2214yes—
101#2612C2214yes—
102#2612C2214yes—
103#2606C2214yes—
104#2606C2214yes—
105#2606C2214yes—
106#2605C2214yes—
107#2584C2212yes—
108#2584C2212yes—
109#2584C2212yes—
110#2584C2212yes—
111#2584C2212yes—
112#2584C2212yes—
113#2583C2214yes—
114#2583C2214yes—
115#2583C2214yes—
116#2582C2212yes—
117#2582C2212yes—
118#2582C2212yes—
119#2582C2212yes—
120#2581C2212yes—
121#2581C2212yes—
122#2581C2212yes—
123#2581C2212yes—
124#2571C2212yes—
125#2571C2214yes—
126#2571C2212yes—
127#2570C2214yes—
128#2570C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2570C2214yes—
133#2568C2212yes—
134#2568C2212yes—
135#2567C2212yes—
136#2567C2212yes—
137#2567C2212yes—
138#2565C2212yes—
139#2565C2212yes—
140#2565C2212yes—
141#2565C2212yes—
142#2552C2214yes—
143#2552C2212yes—
144#2552C2212yes—
145#2552C2211yescharacteristic
146#2552C2212yes—
147#2552C2212yes—
148#2552C2212yes—
149#2552C2211yescharacteristic
150#2552C2212yes—
151#2552C2212yes—
152#2551C2212yes—
153#2551C2211yescharacteristic
154#2551C2211yescharacteristic
155#2550C2214yes—
156#2550C2211yescharacteristic
157#2550C2212yes—
158#2550C2214yes—
159#2550C2212yes—
160#2550C2212yes—
161#2550C2211yescharacteristic
162#2550C2212yes—
163#2550C2212yes—
164#2550C2212yes—
165#2550C2211yescharacteristic
166#2550C2211yescharacteristic
167#2549C2214yes—
168#2549C2212yes—
169#2549C2212yes—
170#2546C2212yes—
171#2509C2212yes—
172#2509C2212yes—
173#2509C2211yescharacteristic
174#2509C2211yescharacteristic
175#2509C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2508C2212yes—
179#2508C2211yescharacteristic
180#2508C2211yescharacteristic
181#2507C2211yescharacteristic
182#2507C2212yes—
183#2507C2212yes—
184#2507C2211yescharacteristic
185#2507C2212yes—
186#2506C2211yescharacteristic
187#2506C2212yes—
188#2506C2212yes—
189#2506C2212yes—
190#2506C2211yescharacteristic
191#2505C2214yes—
192#2505C2212yes—
193#2505C2214yes—
194#2505C2214yes—
195#2505C2212yes—
196#2502C2214yes—
197#2473C2212yes—
198#2473C2214yes—
199#2473C2214yes—
200#2473C2212yes—
201#2473C2214yes—
202#2453C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2453C2212yes—
206#2453C2212yes—
207#2453C2212yes—
208#2453C2212yes—
209#2453C2212yes—
210#2453C2212yes—
211#2453C2212yes—
212#2453C2212yes—
213#2453C2212yes—
214#2451C2212yes—
215#2451C2212yes—
216#2451C2212yes—
217#2451C2212yes—
218#2440C2212yes—
219#2440C2212yes—
220#2440C2214yes—
221#2438C2214yes—
222#2438C2214yes—
223#2438C2214yes—
224#2438C2214yes—
225#2402C2212yes—
226#2402C2212yes—
227#2399C2212yes—
228#2399C2212yes—
229C2×#400C2212yes—
230C2×#398C2212yes—
231#2356C2212yes—
232#2356C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2355C2212yes—
239#2351C2212yes—
240#2351C2212yes—
241#2351C2212yes—
242#2351C2212yes—
243Q8×C4⋊C4C2212yes—
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2212yes—
246Q8×C4⋊C4C2212yes—
247#2343C2214yes—
248#2343C2214yes—
249#2343C2214yes—
250#2343C2214yes—
251#2331C2214yes—
252#2330C2214yes—
253#2330C2214yes—
254#2330C2214yes—
255#2320C2212yes—
256#2320C2212yes—
257#2320C2212yes—
258#2320C2212yes—
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2317C2214yes—
264#2317C2211yescharacteristic
265#2317C2211yescharacteristic
266#2317C2211yescharacteristic
267#2317C2211yescharacteristic
268#2316C2211yescharacteristic
269#2310C2211yescharacteristic
270#2310C2211yescharacteristic
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2212yes—
273C4×#125C2212yes—
274C4×#125C2212yes—
275#2296C2214yes—
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286C2×#391C2211yescharacteristic
287C2×#391C2211yescharacteristic
288C2×#389C2212yes—
289C2×#389C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#387C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#544—44no—
301#533—44no—
302#533—44no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×#125—44no—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333#519—44no—
334#519Q8116yescomplemented
335C2×C4×Q8—44no—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2314yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2314yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
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#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2312yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2312yes—
481#395C2312yes—
482#395C2312yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#395C2312yes—
487#395C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
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#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2314yes—
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2314yes—
705#384C2314yes—
706#384C2312yes—
707#384C2312yes—
708#384C2314yes—
709#384C2312yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2314yes—
713#383C2314yes—
714#383C2314yes—
715#383C2314yes—
716#383C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2314yes—
729#382C2314yes—
730#382C2314yes—
731#382C2311yescharacteristic
732#382C2314yes—
733#382C2314yes—
734#382C2314yes—
735#382C2314yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2314yes—
740#381C2314yes—
741#381C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2312yes—
814C2×#95C2311yescharacteristic
815C43C2312yes—
816C43C2312yes—
817C22×Q8—24no—
818C22×Q8—24no—
819C22×Q8C2×Q818yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C4⋊Q8—44no—
839C4⋊Q8—42no—
840C4⋊Q8—42no—
841C4⋊Q8—42no—
842C4⋊Q8—42no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8—48no—
846C4⋊Q8—44no—
847#125—44no—
848#125—44no—
849#125—44no—
850#125—44no—
851#125—48no—
852#125—42no—
853#125—42no—
854#125—42no—
855#125—42no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—48no—
860#125—44no—
861#125—48no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—44no—
866C22⋊Q8—48no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8C2×Q8116yes—
880C4×Q8C2×Q8116yes—
881C4×Q8C2×Q8116yes—
882C4×Q8C2×Q8116yes—
883#117—24no—
884#117—24no—
885#117—24no—
886#117—24no—
887#117—24no—
888#117—24no—
889#117—48no—
890#117C2×Q8132yes—
891#117C2×Q818yes—
892#117C2×Q818yes—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4—44no—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C42—24no—
1021C2×C42—24no—
1022C2×C42—24no—
1023C2×C42—44no—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
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#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152C24C2511yescharacteristic
1153C2×Q8—232no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—44no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8C22×Q818yes—
1174C2×Q8C22×Q818yes—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—42no—
1203C22×C4—41no—
1204C22×C4C22×Q818yes—
1205C22×C4C22×Q814yes—
1206C22×C4H(5,𝔽2)14yes—
1207C22×C42−1+414yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4C22×Q8116yes—
1346C4⋊C4C22×Q8116yes—
1347C4⋊C4C22×Q814yes—
1348C4⋊C4C22×Q814yes—
1349C4⋊C4C22×Q814yes—
1350C4⋊C4C22×Q814yes—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4C22×Q818yes—
1358C22⋊C4C22×Q818yes—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—42no—
1392C42—44no—
1393C42C22×Q8116yes—
1394C42C22×Q8116yes—
1395C42C22×Q818yes—
1396C42C22×Q818yes—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23C23×Q812yes—
1402C23C2×H(5,𝔽2)12yes—
1403C23C2×2−1+412yes—
1404C23C2611yescharacteristic
1405Q8—216no—
1406Q8—216no—
1407Q8—84no—
1408Q8—84no—
1409Q8—84no—
1410Q8—84no—
1411Q8—164no—
1412C2×C4—21no—
1413C2×C4—24no—
1414C2×C4—21no—
1415C2×C4—24no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—216no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
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—22no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—24no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—48no—
1505C2×C4—84no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—84no—
1511C2×C4#544116yes—
1512C2×C4C23×Q814yes—
1513C2×C4C23×Q814yes—
1514C2×C4C23×Q814yes—
1515C2×C4C23×Q814yes—
1516C2×C4C23×Q818yes—
1517C2×C4C23×Q812yes—
1518C2×C4C23×Q812yes—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×H(5,𝔽2)12yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4#58512yes—
1524C2×C4#58512yes—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22C2×#54414yes—
1532C22C24×Q811yescharacteristic
1533C22C22×H(5,𝔽2)11yescharacteristic
1534C22C22×2−1+411yescharacteristic
1535C22C2×#58511yescharacteristic
1536C22C2×#58511yescharacteristic
1537C222−1+611yescharacteristic
1538C222−1+611yescharacteristic
1539C4—24no—
1540C4—24no—
1541C4—24no—
1542C4—24no—
1543C4—22no—
1544C4—28no—
1545C4—22no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—44no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—44no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—44no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4C2×#54414yes—
1572C4C2×#54414yes—
1573C2—24no—
1574C2C22×#54411yescharacteristic
1575C2#6283111yescharacteristic
1576C2#6288911yescharacteristic
1577C2#6292511yescharacteristic
1578C2#6295411yescharacteristic
1579C2#6300411yescharacteristic
1580C2#6300411yescharacteristic
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
1. #42826C2semidirect
2. #42825C2semidirect
3. #42824C2semidirect
4. #42823C2semidirect
5. #42822C2semidirect
6. #42821C2semidirect
7. #42819C2semidirect
8. #42819C2semidirect
11. #39979C2semidirect
12. #39979C2semidirect
13. #39975C2semidirect
14. #39974C2semidirect
15. #39754C2semidirect
16. #39183C2semidirect
17. #39182C2semidirect
18. #39180C2semidirect
334. #519Q8semidirect

Maximal subgroups

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

subgroupindex
#428262
#428252
#428242
#428232
#428222
#428212
#428192
#421812
#420002
#399792
#399752
#399742
#397542
#391832
#391822
#391802
#384492
#384472
#356682
#356622
#356402
#355662
#355432
#353352
#352652
#351792
#349382
#348152
C2×#24532
#342542
#342492