Finite Group Databasebeta

← #7693109

Subgroups — #7693109

Order 512.

4547 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#59673C211yesmaximal, characteristic, complemented
2#59668C211yesmaximal, characteristic, complemented
3#59668C211yesmaximal, characteristic, complemented
4#59587C212yesmaximal, complemented
5#59587C212yesmaximal, complemented
6#59551C214yesmaximal, complemented
7#59459C212yesmaximal, complemented
8#59152C212yesmaximal, complemented
9#45415C212yesmaximal, complemented
10#44997C212yesmaximal, complemented
11#43145C214yesmaximal, complemented
12#43141C214yesmaximal, complemented
13#39977C212yesmaximal
14#39972C212yesmaximal
15#39649C214yesmaximal, complemented
16#39603C212yesmaximal, complemented
17#38966C211yesmaximal, characteristic
18#38964C211yesmaximal, characteristic
19#36574C211yesmaximal, characteristic, complemented
20#36565C211yesmaximal, characteristic, complemented
21#36556C212yesmaximal, complemented
22#36535C211yesmaximal, characteristic, complemented
23#36497C211yesmaximal, characteristic, complemented
24#36479C212yesmaximal
25#36425C212yesmaximal, complemented
26#36132C211yesmaximal, characteristic
27#35843C212yesmaximal, complemented
28#35788C212yesmaximal, complemented
29#34941C211yesmaximal, characteristic
30#34893C212yesmaximal
31#34317C211yesmaximal, characteristic
32#34317C211yesmaximal, characteristic
33#34213C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2212yes—
39#2864C2212yes—
40#2864C2212yes—
41#2862C2212yes—
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2855C2214yes—
46#2851C2212yes—
47#2806C2214yes—
48#2806C2214yes—
49#2799C2214yes—
50#2792C2214yes—
51#2792C2214yes—
52#2791C2214yes—
53#2791C2214yes—
54#2790C2214yes—
55#2790C2214yes—
56#2788C2214yes—
57#2788C2214yes—
58#2768C2214yes—
59#2768C2214yes—
60#2763C2214yes—
61#2763C2214yes—
62#2755C2214yes—
63#2755C2214yes—
64#2729C2214yes—
65#2720C2214yes—
66#2704C2214yes—
67#2677C2214yes—
68#2667C2214yes—
69#2665C2214yes—
70#2629C2212yes—
71#2628C2212yes—
72#2608C2214yes—
73#2607C2214yes—
74#2590C2214yes—
75#2590C2214yes—
76#2590C2214yes—
77#2589C2214yes—
78#2588C2214yes—
79#2588C2214yes—
80#2588C2214yes—
81#2587C2214yes—
82#2586C2214yes—
83#2586C2214yes—
84#2586C2214yes—
85#2586C2214yes—
86#2585C2214yes—
87#2585C2214yes—
88#2584C2212yes—
89#2584C2212yes—
90#2584C2212yes—
91#2584C2212yes—
92#2581C2214yes—
93#2581C2212yes—
94#2581C2212yes—
95#2580C2212yes—
96#2574C2212yes—
97#2574C2212yes—
98#2574C2214yes—
99#2571C2211yescharacteristic
100#2570C2212yes—
101#2570C2212yes—
102#2567C2212yes—
103#2567C2211yescharacteristic
104#2567C2214yes—
105#2566C2212yes—
106#2565C2212yes—
107#2563C2211yescharacteristic
108#2556C2214yes—
109#2552C2211yescharacteristic
110#2552C2211yescharacteristic
111#2552C2212yes—
112#2552C2211yescharacteristic
113#2551C2212yes—
114#2551C2211yescharacteristic
115#2551C2212yes—
116#2551C2211yescharacteristic
117#2551C2211yescharacteristic
118#2550C2212yes—
119#2550C2212yes—
120#2550C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2550C2212yes—
124#2550C2212yes—
125#2550C2212yes—
126#2546C2212yes—
127#2546C2212yes—
128#2538C2211yescharacteristic
129#2522C2214yes—
130#2522C2214yes—
131#2520C2214yes—
132#2520C2214yes—
133#2520C2214yes—
134#2520C2214yes—
135#2520C2214yes—
136#2511C2214yes—
137#2509C2212yes—
138#2509C2212yes—
139#2509C2212yes—
140#2509C2212yes—
141#2508C2212yes—
142#2508C2212yes—
143#2508C2212yes—
144#2508C2212yes—
145#2508C2212yes—
146#2508C2214yes—
147#2508C2212yes—
148#2508C2211yescharacteristic
149#2508C2211yescharacteristic
150#2508C2214yes—
151#2507C2212yes—
152#2507C2212yes—
153#2507C2212yes—
154#2507C2212yes—
155#2497C2212yes—
156#2465C2214yes—
157#2465C2214yes—
158#2465C2214yes—
159#2465C2214yes—
160#2462C2214yes—
161#2462C2214yes—
162#2462C2214yes—
163#2454C2212yes—
164#2454C2211yescharacteristic
165#2454C2211yescharacteristic
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2452C2212yes—
170#2452C2212yes—
171#2452C2212yes—
172#2451C2214yes—
173#2451C2212yes—
174#2451C2212yes—
175#2451C2214yes—
176#2451C2214yes—
177#2451C2214yes—
178#2451C2212yes—
179#2446C2214yes—
180#2442C2212yes—
181#2441C2212yes—
182#2440C2212yes—
183#2439C2212yes—
184#2439C2212yes—
185#2439C2214yes—
186#2439C2212yes—
187#2439C2214yes—
188#2438C2214yes—
189#2438C2214yes—
190#2423C2212yes—
191#2396C2214yes—
192#2396C2212yes—
193#2396C2214yes—
194#2396C2212yes—
195#2370C2212yes—
196#2370C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2212yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2211yescharacteristic
204#2370C2211yescharacteristic
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2369C2212yes—
209#2369C2211yescharacteristic
210#2369C2211yescharacteristic
211#2369C2211yescharacteristic
212#2369C2212yes—
213#2369C2212yes—
214#2369C2212yes—
215#2368C2214yes—
216#2365C2211yescharacteristic
217#2365C2214yes—
218#2365C2212yes—
219#2365C2212yes—
220#2365C2212yes—
221#2365C2212yes—
222#2365C2212yes—
223#2365C2212yes—
224#2362C2212yes—
225#2362C2212yes—
226#2362C2214yes—
227#2362C2214yes—
228#2360C2212yes—
229#2357C2212yes—
230#2357C2212yes—
231#2355C2212yes—
232#2355C2211yescharacteristic
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2212yes—
237#2355C2214yes—
238#2355C2214yes—
239#2355C2214yes—
240#2354C2211yescharacteristic
241#2354C2211yescharacteristic
242#2351C2211yescharacteristic
243#2351C2211yescharacteristic
244#2351C2212yes—
245Q8×C4⋊C4C2214yes—
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#2317C2212yes—
259#2317C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×#125C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2214yes—
281C4×C22⋊Q8C2214yes—
282C4×C22⋊Q8C2214yes—
283#2296C2214yes—
284#2293C2212yes—
285#2293C2212yes—
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2285C2212yes—
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299#557—28no—
300#554Q8116yescomplemented
301#533—216no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2314yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2314yes—
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×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
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×C42C2312yes—
367C22×C42C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#399C2314yes—
382#399C2312yes—
383#399C2312yes—
384#399C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2312yes—
389#398C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2312yes—
396#398C2314yes—
397#398C2314yes—
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#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#396C2314yes—
414#396C2314yes—
415#396C2314yes—
416#396C2312yes—
417#396C2312yes—
418#396C2312yes—
419#396C2314yes—
420#396C2312yes—
421#396C2314yes—
422#396C2314yes—
423#395C2312yes—
424#395C2314yes—
425#395C2314yes—
426#395C2312yes—
427#395C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#393C2312yes—
441#393C2312yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#391C2314yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2314yes—
461#391C2314yes—
462#391C2314yes—
463#391C2314yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2312yes—
481#390C2311yescharacteristic
482#390C2312yes—
483#390C2311yescharacteristic
484#389C2311yescharacteristic
485#389C2311yescharacteristic
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2312yes—
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#387C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2312yes—
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#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#384C2312yes—
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2314yes—
674#384C2314yes—
675#384C2312yes—
676#384C2312yes—
677#382C2311yescharacteristic
678#382C2311yescharacteristic
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2314yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2314yes—
697#381C2314yes—
698#381C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2314yes—
707#380C2312yes—
708#380C2314yes—
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C2×#95C2314yes—
807C43C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2414yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2412yes—
825C23×C4C2414yes—
826C23×C4C2414yes—
827C4⋊Q8—28no—
828C4⋊Q8—28no—
829C4⋊Q8—28no—
830C4⋊Q8—24no—
831C4⋊Q8—28no—
832C4⋊Q8—44no—
833C4⋊Q8—42no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—48no—
837C4⋊Q8—84no—
838C4⋊Q8C2×Q818yes—
839#125—28no—
840#125—24no—
841#125—28no—
842#125—24no—
843#125—24no—
844#125—28no—
845#125—44no—
846#125—44no—
847#125—44no—
848#125—82no—
849#125C2×Q8116yes—
850#125#4118yes—
851C22⋊Q8—216no—
852C22⋊Q8—216no—
853C22⋊Q8—44no—
854C22⋊Q8—84no—
855C22⋊Q8C2×Q8132yes—
856C22⋊Q8C2×Q8116yes—
857C4×Q8—216no—
858C4×Q8—216no—
859C4×Q8—24no—
860C4×Q8—28no—
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—42no—
870C4×Q8—42no—
871C4×Q8—42no—
872C4×Q8—42no—
873C4×Q8—82no—
874C4×Q8—84no—
875C4×Q8—84no—
876C4×Q8—82no—
877C4×Q8C2×Q818yes—
878C4×D4—24no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4C2×Q8116yes—
882C4×D4C2×Q818yes—
883#117—28no—
884#117—28no—
885#117—44no—
886#117—44no—
887#117—48no—
888#117—84no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4C2×Q8116yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C42—28no—
1008C2×C42—84no—
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2411yescharacteristic
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#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
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#95C2412yes—
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2512yes—
1143C2×Q8—22no—
1144C2×Q8—28no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—28no—
1148C2×Q8—28no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—42no—
1153C2×Q8—41no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8C22×Q814yes—
1166C2×Q8C22×Q818yes—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4C22×Q814yes—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—42no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—42no—
1183C22×C4C22×Q818yes—
1184C22×C4C22×Q8116yes—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—41no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4C22×Q814yes—
1307C4⋊C4C22×Q8116yes—
1308C4⋊C4C22×Q818yes—
1309C4⋊C4C22×Q814yes—
1310C4⋊C4C22×Q818yes—
1311C4⋊C4C22×Q818yes—
1312C4⋊C4C22×Q8116yes—
1313C4⋊C4C2×#4114yes—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4118yes—
1316C4⋊C4C2×#4118yes—
1317C4⋊C42−1+414yes—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4C22×Q8116yes—
1334C22⋊C4C22×Q818yes—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—28no—
1339C42—28no—
1340C42—24no—
1341C42—24no—
1342C42—22no—
1343C42—24no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—42no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—42no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—41no—
1371C42—41no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—44no—
1376C42—42no—
1377C42—41no—
1378C42—44no—
1379C42—41no—
1380C42—44no—
1381C42—41no—
1382C42—44no—
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—416no—
1397Q8—44no—
1398Q8—48no—
1399Q8—88no—
1400Q8—84no—
1401Q8—164no—
1402D4—28no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—216no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—416no—
1490C2×C4—48no—
1491C2×C4—84no—
1492C2×C4—88no—
1493C2×C4C23×Q814yes—
1494C2×C4C23×Q812yes—
1495C2×C4C23×Q814yes—
1496C2×C4C23×Q814yes—
1497C2×C4C23×Q818yes—
1498C2×C4C23×Q812yes—
1499C2×C4C23×Q812yes—
1500C2×C4C22×#4112yes—
1501C2×C4C22×#4114yes—
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—24no—
1529C4—24no—
1530C4—22no—
1531C4—24no—
1532C4—22no—
1533C4—24no—
1534C4—24no—
1535C4—41no—
1536C4—41no—
1537C4—44no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—44no—
1548C4—41no—
1549C4—41no—
1550C4—42no—
1551C4—44no—
1552C4—42no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4Q8×#4114yes—
1557C4#350214yes—
1558C2—44no—
1559C2C2×Q8×#4111yescharacteristic
1560C2C2×#350211yescharacteristic
1561C2#6281611yescharacteristic
1562C2#6293811yescharacteristic
1563C2#6298911yescharacteristic
1564C2#6300011yescharacteristic
1565C2#6303411yescharacteristic
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. #59673C2semidirect
2. #59668C2semidirect
3. #59668C2semidirect
4. #59587C2semidirect
5. #59587C2semidirect
6. #59551C2semidirect
7. #59459C2semidirect
8. #59152C2semidirect
9. #45415C2semidirect
10. #44997C2semidirect
11. #43145C2semidirect
12. #43141C2semidirect
15. #39649C2semidirect
16. #39603C2semidirect
19. #36574C2semidirect
20. #36565C2semidirect
21. #36556C2semidirect
22. #36535C2semidirect
23. #36497C2semidirect
25. #36425C2semidirect
27. #35843C2semidirect
28. #35788C2semidirect
33. #34213C2semidirect
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
#596732
#596682
#595872
#595512
#594592
#591522
#454152
#449972
#431452
#431412
#399772
#399722
#396492
#396032
#389662
#389642
#365742
#365652
#365562
#365352
#364972
#364792
#364252
#361322
#358432
#357882
#349412
#348932
#343172
#342132
C4×#5572
C4×#5542