Finite Group Databasebeta

← #7690619

Subgroups — #7690619

Order 512.

4539 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59925C212yesmaximal, complemented
2#59924C211yesmaximal, characteristic, complemented
3#59673C211yesmaximal, characteristic, complemented
4#59672C211yesmaximal, characteristic, complemented
5#59671C212yesmaximal, complemented
6#59669C212yesmaximal, complemented
7#59551C212yesmaximal, complemented
8#59324C214yesmaximal, complemented
9#45190C212yesmaximal, complemented
10#45099C212yesmaximal, complemented
11#43572C214yesmaximal, complemented
12#43569C214yesmaximal, complemented
13#39977C212yesmaximal
14#39973C212yesmaximal
15#39711C214yesmaximal, complemented
16#39689C212yesmaximal, complemented
17#39370C211yesmaximal, characteristic
18#38967C211yesmaximal, characteristic
19#36574C211yesmaximal, characteristic, complemented
20#36565C211yesmaximal, characteristic, complemented
21#36556C212yesmaximal, complemented
22#36535C211yesmaximal, characteristic, complemented
23#36497C211yesmaximal, characteristic, complemented
24#36479C212yesmaximal
25#36407C211yesmaximal, characteristic
26#36193C212yesmaximal, complemented
27#35843C212yesmaximal, complemented
28#35783C212yesmaximal, complemented
29#34941C212yesmaximal
30#34893C211yesmaximal, characteristic
31#34317C211yesmaximal, characteristic
32#34317C211yesmaximal, characteristic
33#34271C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#544C2212yes—
39#2864C2212yes—
40#2864C2212yes—
41#2862C2212yes—
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2857C2212yes—
46#2855C2214yes—
47#2811C2214yes—
48#2809C2214yes—
49#2805C2214yes—
50#2802C2214yes—
51#2799C2214yes—
52#2792C2214yes—
53#2790C2214yes—
54#2788C2214yes—
55#2788C2214yes—
56#2774C2214yes—
57#2763C2214yes—
58#2742C2214yes—
59#2742C2214yes—
60#2734C2214yes—
61#2729C2214yes—
62#2729C2214yes—
63#2729C2214yes—
64#2726C2214yes—
65#2720C2214yes—
66#2704C2214yes—
67#2704C2214yes—
68#2665C2214yes—
69#2665C2214yes—
70#2629C2212yes—
71#2628C2212yes—
72#2608C2214yes—
73#2607C2214yes—
74#2590C2214yes—
75#2590C2214yes—
76#2589C2212yes—
77#2588C2214yes—
78#2588C2214yes—
79#2588C2214yes—
80#2588C2214yes—
81#2588C2214yes—
82#2587C2212yes—
83#2586C2214yes—
84#2586C2214yes—
85#2586C2214yes—
86#2586C2214yes—
87#2586C2214yes—
88#2584C2212yes—
89#2584C2211yescharacteristic
90#2584C2212yes—
91#2581C2214yes—
92#2581C2212yes—
93#2581C2212yes—
94#2580C2211yescharacteristic
95#2574C2214yes—
96#2574C2214yes—
97#2574C2214yes—
98#2574C2214yes—
99#2571C2211yescharacteristic
100#2570C2212yes—
101#2570C2212yes—
102#2567C2212yes—
103#2567C2212yes—
104#2567C2214yes—
105#2567C2212yes—
106#2567C2212yes—
107#2566C2211yescharacteristic
108#2565C2212yes—
109#2565C2214yes—
110#2563C2212yes—
111#2556C2214yes—
112#2556C2214yes—
113#2552C2212yes—
114#2552C2212yes—
115#2552C2211yescharacteristic
116#2552C2211yescharacteristic
117#2551C2212yes—
118#2551C2212yes—
119#2551C2211yescharacteristic
120#2551C2211yescharacteristic
121#2551C2211yescharacteristic
122#2550C2214yes—
123#2550C2212yes—
124#2550C2212yes—
125#2550C2212yes—
126#2550C2212yes—
127#2550C2212yes—
128#2550C2211yescharacteristic
129#2550C2212yes—
130#2550C2212yes—
131#2546C2212yes—
132#2538C2212yes—
133#2522C2214yes—
134#2522C2212yes—
135#2520C2214yes—
136#2520C2214yes—
137#2520C2214yes—
138#2520C2214yes—
139#2520C2214yes—
140#2511C2214yes—
141#2511C2214yes—
142#2509C2212yes—
143#2509C2212yes—
144#2509C2212yes—
145#2509C2212yes—
146#2509C2211yescharacteristic
147#2509C2212yes—
148#2508C2212yes—
149#2508C2212yes—
150#2508C2212yes—
151#2508C2212yes—
152#2508C2212yes—
153#2508C2212yes—
154#2507C2211yescharacteristic
155#2507C2214yes—
156#2507C2214yes—
157#2506C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2506C2214yes—
161#2497C2214yes—
162#2465C2212yes—
163#2465C2214yes—
164#2462C2214yes—
165#2462C2214yes—
166#2454C2212yes—
167#2454C2212yes—
168#2454C2211yescharacteristic
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2452C2212yes—
173#2452C2212yes—
174#2452C2211yescharacteristic
175#2451C2212yes—
176#2451C2212yes—
177#2451C2212yes—
178#2446C2214yes—
179#2446C2214yes—
180#2442C2212yes—
181#2442C2212yes—
182#2441C2214yes—
183#2441C2212yes—
184#2439C2214yes—
185#2439C2212yes—
186#2439C2212yes—
187#2439C2212yes—
188#2438C2214yes—
189#2438C2214yes—
190#2423C2214yes—
191#2396C2212yes—
192#2396C2214yes—
193#2396C2214yes—
194#2396C2212yes—
195#2370C2212yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2212yes—
200#2370C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2211yescharacteristic
208#2370C2212yes—
209#2370C2212yes—
210#2370C2211yescharacteristic
211#2369C2212yes—
212#2369C2211yescharacteristic
213#2369C2211yescharacteristic
214#2369C2212yes—
215#2369C2211yescharacteristic
216#2369C2212yes—
217#2369C2212yes—
218#2369C2214yes—
219#2369C2212yes—
220#2368C2214yes—
221#2365C2212yes—
222#2365C2212yes—
223#2365C2212yes—
224#2365C2212yes—
225#2365C2214yes—
226#2365C2211yescharacteristic
227#2362C2212yes—
228#2362C2214yes—
229#2362C2214yes—
230#2362C2212yes—
231#2360C2212yes—
232#2357C2212yes—
233#2357C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2355C2214yes—
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic
243#2351C2211yescharacteristic
244#2351C2211yescharacteristic
245#2351C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247#2349C2212yes—
248D4×C4⋊C4C2211yescharacteristic
249#2345C2212yes—
250#2344C2212yes—
251#2344C2212yes—
252#2332C2214yes—
253#2332C2214yes—
254#2329C2214yes—
255#2329C2214yes—
256#2323C2212yes—
257#2323C2212yes—
258#2316C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×#125C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2214yes—
279C4×C22⋊Q8C2214yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2214yes—
282#2296C2212yes—
283#2296C2212yes—
284#2293C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2285C2214yes—
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299#557—28no—
300#554Q8116yescomplemented
301#544—216no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2314yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2314yes—
363C2×#117C2314yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C42C2314yes—
367C22×C42C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#399C2312yes—
385#399C2312yes—
386#399C2314yes—
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2314yes—
404#398C2312yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#396C2312yes—
413#396C2312yes—
414#396C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2312yes—
419#396C2312yes—
420#396C2314yes—
421#396C2314yes—
422#395C2314yes—
423#395C2314yes—
424#395C2314yes—
425#395C2314yes—
426#395C2314yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2312yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2312yes—
440#393C2314yes—
441#393C2314yes—
442#393C2312yes—
443#393C2314yes—
444#393C2312yes—
445#393C2314yes—
446#391C2314yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2312yes—
456#391C2314yes—
457#391C2312yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#390C2311yescharacteristic
480#390C2312yes—
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2311yescharacteristic
484#390C2312yes—
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
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#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2312yes—
675#384C2314yes—
676#384C2314yes—
677#384C2314yes—
678#382C2312yes—
679#382C2312yes—
680#382C2311yescharacteristic
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#381C2314yes—
696#381C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2314yes—
706#380C2314yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C4⋊Q8—216no—
828C4⋊Q8—28no—
829C4⋊Q8—28no—
830C4⋊Q8—24no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—84no—
837C4⋊Q8C2×Q818yes—
838C4⋊Q8#4118yes—
839#125—216no—
840#125—28no—
841#125—28no—
842#125—28no—
843#125—24no—
844#125—24no—
845#125—24no—
846#125—28no—
847#125—28no—
848#125—42no—
849#125—44no—
850#125—84no—
851#125—82no—
852#125C2×Q8116yes—
853C22⋊Q8—216no—
854C22⋊Q8—216no—
855C22⋊Q8—44no—
856C22⋊Q8—84no—
857C22⋊Q8C2×Q8132yes—
858C22⋊Q8C2×Q8116yes—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—44no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—48no—
870C4×Q8—42no—
871C4×Q8—42no—
872C4×Q8—42no—
873C4×Q8—42no—
874C4×Q8—84no—
875C4×Q8—82no—
876C4×Q8—82no—
877C4×Q8C2×Q818yes—
878C4×D4—24no—
879C4×D4—42no—
880C4×D4—44no—
881C4×D4C2×Q8116yes—
882C4×D4C2×Q818yes—
883#117—28no—
884#117—28no—
885#117—44no—
886#117—44no—
887#117—84no—
888#117—84no—
889C2×C4⋊C4—28no—
890C2×C4⋊C4C2×Q8116yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C42—48no—
1008C2×C42—44no—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2512yes—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—28no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—41no—
1152C2×Q8—41no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8C22×Q814yes—
1165C2×Q8C22×Q818yes—
1166C2×Q8C2×#4118yes—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4C22×Q814yes—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—28no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4C22×Q818yes—
1184C22×C4C22×Q8116yes—
1185C22×C4C2511yescharacteristic
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2514yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—28no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4C22×Q814yes—
1308C4⋊C4C22×Q8116yes—
1309C4⋊C4C22×Q818yes—
1310C4⋊C4C22×Q814yes—
1311C4⋊C4C22×Q818yes—
1312C4⋊C4C22×Q818yes—
1313C4⋊C4C22×Q8116yes—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4114yes—
1316C4⋊C4C2×#4118yes—
1317C4⋊C42−1+414yes—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4C22×Q8116yes—
1334C22⋊C4C22×Q818yes—
1335C42—28no—
1336C42—24no—
1337C42—24no—
1338C42—24no—
1339C42—22no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—24no—
1347C42—22no—
1348C42—28no—
1349C42—24no—
1350C42—22no—
1351C42—24no—
1352C42—22no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—42no—
1360C42—44no—
1361C42—44no—
1362C42—42no—
1363C42—44no—
1364C42—42no—
1365C42—42no—
1366C42—44no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—44no—
1372C42—44no—
1373C42—41no—
1374C42—41no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—41no—
1379C42—41no—
1380C42—44no—
1381C42—44no—
1382C42—41no—
1383C42C22×Q818yes—
1384C42C22×Q814yes—
1385C42C2×#4114yes—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23C23×Q814yes—
1393C23C2611yescharacteristic
1394Q8—28no—
1395Q8—48no—
1396Q8—48no—
1397Q8—44no—
1398Q8—84no—
1399Q8—88no—
1400Q8—88no—
1401Q8—164no—
1402D4—28no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—24no—
1410C2×C4—21no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—24no—
1425C2×C4—216no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—24no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—416no—
1490C2×C4—48no—
1491C2×C4—88no—
1492C2×C4—84no—
1493C2×C4C23×Q814yes—
1494C2×C4C23×Q812yes—
1495C2×C4C23×Q814yes—
1496C2×C4C23×Q814yes—
1497C2×C4C23×Q818yes—
1498C2×C4C23×Q812yes—
1499C2×C4C23×Q812yes—
1500C2×C4C22×#4114yes—
1501C2×C4C22×#4112yes—
1502C2×C4C22×#4114yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C2×2−1+414yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4#58512yes—
1508C2×C4#58512yes—
1509C2×C4#58512yes—
1510C22—24no—
1511C22—24no—
1512C22—24no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22C24×Q811yescharacteristic
1518C22C23×#4111yescharacteristic
1519C22C22×2−1+411yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22C2×#58511yescharacteristic
1522C22C2×#58511yescharacteristic
1523C22H(7,𝔽2)11yescharacteristic
1524C4—24no—
1525C4—28no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—24no—
1530C4—24no—
1531C4—22no—
1532C4—24no—
1533C4—24no—
1534C4—24no—
1535C4—41no—
1536C4—41no—
1537C4—42no—
1538C4—44no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—41no—
1544C4—44no—
1545C4—41no—
1546C4—41no—
1547C4—42no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—44no—
1555C4—42no—
1556C4Q8×#4114yes—
1557C4#350214yes—
1558C2—44no—
1559C2C2×Q8×#4111yescharacteristic
1560C2#6278111yescharacteristic
1561C2C2×#350211yescharacteristic
1562C2#6293811yescharacteristic
1563C2#6298911yescharacteristic
1564C2#6299911yescharacteristic
1565C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59925C2semidirect
2. #59924C2semidirect
3. #59673C2semidirect
4. #59672C2semidirect
5. #59671C2semidirect
6. #59669C2semidirect
7. #59551C2semidirect
8. #59324C2semidirect
9. #45190C2semidirect
10. #45099C2semidirect
11. #43572C2semidirect
12. #43569C2semidirect
15. #39711C2semidirect
16. #39689C2semidirect
19. #36574C2semidirect
20. #36565C2semidirect
21. #36556C2semidirect
22. #36535C2semidirect
23. #36497C2semidirect
26. #36193C2semidirect
27. #35843C2semidirect
28. #35783C2semidirect
33. #34271C2semidirect
34. C4×#557C2semidirect
300. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#599252
#599242
#596732
#596722
#596712
#596692
#595512
#593242
#451902
#450992
#435722
#435692
#399772
#399732
#397112
#396892
#393702
#389672
#365742
#365652
#365562
#365352
#364972
#364792
#364072
#361932
#358432
#357832
#349412
#348932
#343172
#342712
C4×#5572
C4×#5542