Finite Group Databasebeta

← #7683748

Subgroups — #7683748

Order 512.

4538 conjugacy classes of subgroups.

The subgroup lattice has 1597 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59876C212yesmaximal, complemented
2#59875C212yesmaximal, complemented
3#59718C212yesmaximal, complemented
4#59708C214yesmaximal, complemented
5#59583C212yesmaximal, complemented
6#59574C212yesmaximal, complemented
7#59557C212yesmaximal, complemented
8#59443C212yesmaximal, complemented
9#59426C212yesmaximal, complemented
10#59348C214yesmaximal, complemented
11#45431C212yesmaximal, complemented
12#45370C212yesmaximal, complemented
13#45295C212yesmaximal, complemented
14#45199C212yesmaximal, complemented
15#45174C212yesmaximal, complemented
16#45163C212yesmaximal, complemented
17#45152C212yesmaximal, complemented
18#45001C212yesmaximal, complemented
19#43691C214yesmaximal, complemented
20#43626C214yesmaximal, complemented
21#35668C211yesmaximal, characteristic, complemented
22#35630C211yesmaximal, characteristic, complemented
23#35628C211yesmaximal, characteristic
24#35628C211yesmaximal, characteristic
25#35620C211yesmaximal, characteristic
26#35545C211yesmaximal, characteristic
27#34938C211yesmaximal, characteristic, complemented
28#34816C211yesmaximal, characteristic
29C2×#2514C211yesmaximal, characteristic, complemented
30#34276C211yesmaximal, characteristic
31#34272C211yesmaximal, characteristic, complemented
32#34254C211yesmaximal, characteristic, complemented
33#34252C211yesmaximal, characteristic
34#34215C211yesmaximal, characteristic, complemented
35#34213C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#519C2211yescharacteristic
42#2810C2214yes—
43#2810C2214yes—
44#2793C2214yes—
45#2789C2214yes—
46#2789C2214yes—
47#2788C2214yes—
48#2787C2214yes—
49#2783C2214yes—
50#2776C2214yes—
51#2776C2214yes—
52#2775C2214yes—
53#2767C2214yes—
54#2767C2214yes—
55#2762C2214yes—
56#2762C2214yes—
57#2759C2214yes—
58#2759C2214yes—
59#2759C2214yes—
60#2759C2214yes—
61#2758C2214yes—
62#2758C2214yes—
63#2745C2214yes—
64#2745C2214yes—
65#2716C2214yes—
66#2605C2214yes—
67#2605C2214yes—
68#2599C2214yes—
69#2594C2214yes—
70#2594C2214yes—
71#2592C2212yes—
72#2592C2212yes—
73#2592C2212yes—
74#2592C2212yes—
75#2588C2214yes—
76#2588C2214yes—
77#2577C2214yes—
78#2577C2214yes—
79#2573C2214yes—
80#2570C2214yes—
81#2568C2212yes—
82#2568C2212yes—
83#2568C2212yes—
84#2568C2212yes—
85#2568C2212yes—
86#2568C2212yes—
87#2568C2214yes—
88#2567C2212yes—
89#2566C2212yes—
90#2565C2212yes—
91#2565C2212yes—
92#2565C2212yes—
93#2563C2212yes—
94#2552C2211yescharacteristic
95#2552C2211yescharacteristic
96#2551C2211yescharacteristic
97#2551C2211yescharacteristic
98#2550C2211yescharacteristic
99#2550C2211yescharacteristic
100#2550C2211yescharacteristic
101#2550C2211yescharacteristic
102#2549C2212yes—
103#2549C2212yes—
104#2533C2214yes—
105#2533C2214yes—
106#2532C2214yes—
107#2532C2214yes—
108#2528C2214yes—
109#2528C2214yes—
110#2527C2214yes—
111#2525C2214yes—
112#2524C2214yes—
113#2524C2214yes—
114#2523C2214yes—
115#2514C2211yescharacteristic
116#2514C2211yescharacteristic
117#2514C2212yes—
118#2514C2212yes—
119#2514C2212yes—
120#2514C2212yes—
121#2514C2212yes—
122#2514C2214yes—
123#2514C2212yes—
124#2514C2212yes—
125#2514C2212yes—
126#2514C2212yes—
127#2514C2214yes—
128#2514C2214yes—
129#2514C2212yes—
130#2514C2214yes—
131#2514C2214yes—
132#2514C2212yes—
133#2514C2212yes—
134#2514C2212yes—
135#2513C2211yescharacteristic
136#2513C2211yescharacteristic
137#2513C2212yes—
138#2512C2211yescharacteristic
139#2512C2211yescharacteristic
140#2512C2212yes—
141#2511C2211yescharacteristic
142#2511C2211yescharacteristic
143#2511C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2511C2212yes—
147#2511C2212yes—
148#2510C2212yes—
149#2510C2212yes—
150#2510C2214yes—
151#2497C2212yes—
152#2496C2214yes—
153#2496C2212yes—
154#2495C2212yes—
155#2494C2214yes—
156#2494C2212yes—
157#2493C2214yes—
158#2493C2214yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2492C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2488C2214yes—
168#2488C2214yes—
169#2488C2214yes—
170#2488C2214yes—
171#2481C2212yes—
172#2481C2212yes—
173#2481C2214yes—
174#2478C2214yes—
175#2469C2214yes—
176#2469C2214yes—
177#2469C2214yes—
178#2453C2212yes—
179#2453C2212yes—
180#2451C2212yes—
181#2451C2212yes—
182#2450C2214yes—
183#2450C2214yes—
184#2446C2214yes—
185#2442C2212yes—
186#2442C2212yes—
187#2440C2212yes—
188#2440C2212yes—
189#2439C2214yes—
190#2439C2212yes—
191#2439C2212yes—
192#2438C2214yes—
193#2438C2214yes—
194#2401C2212yes—
195#2401C2212yes—
196C2×#401C2212yes—
197#2399C2212yes—
198#2399C2212yes—
199C2×#400C2212yes—
200#2373C2214yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2212yes—
205#2369C2212yes—
206#2369C2212yes—
207#2368C2214yes—
208#2368C2214yes—
209#2368C2214yes—
210#2365C2212yes—
211#2365C2212yes—
212#2362C2212yes—
213#2362C2212yes—
214#2360C2214yes—
215#2360C2212yes—
216#2360C2212yes—
217#2359C2214yes—
218#2359C2214yes—
219#2357C2212yes—
220#2356C2212yes—
221#2356C2212yes—
222#2356C2214yes—
223#2356C2212yes—
224#2355C2212yes—
225#2355C2212yes—
226#2355C2212yes—
227#2355C2212yes—
228#2355C2212yes—
229#2355C2212yes—
230#2355C2214yes—
231#2355C2212yes—
232#2355C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2354C2212yes—
236Q8×C4⋊C4C2212yes—
237#2347C2214yes—
238#2347C2212yes—
239#2346C2212yes—
240#2345C2212yes—
241#2344C2212yes—
242#2343C2214yes—
243#2343C2214yes—
244#2331C2212yes—
245#2331C2212yes—
246#2331C2212yes—
247#2330C2212yes—
248#2329C2214yes—
249#2327C2212yes—
250#2326C2212yes—
251#2320C2212yes—
252#2320C2212yes—
253#2318C2214yes—
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260#2310C2211yescharacteristic
261#2310C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#126C2212yes—
270C4×#126C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2214yes—
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2296C2211yescharacteristic
277#2296C2211yescharacteristic
278#2296C2211yescharacteristic
279#2295C2212yes—
280#2295C2212yes—
281C2×#391C2211yescharacteristic
282C2×#391C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#389C2211yescharacteristic
285#2290C2214yes—
286C2×#387C2212yes—
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289C2×#383C2212yes—
290C2×#382C2211yescharacteristic
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301#544—28no—
302#536—28no—
303#533—28no—
304#533—28no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332#520—28no—
333#519—28no—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2314yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#401C2312yes—
373#401C2312yes—
374#401C2314yes—
375#401C2314yes—
376#401C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
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#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2312yes—
422#397C2312yes—
423#397C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#397C2312yes—
434#397C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#395C2314yes—
441#395C2314yes—
442#395C2312yes—
443#395C2312yes—
444#395C2312yes—
445#395C2312yes—
446#395C2312yes—
447#395C2312yes—
448#395C2312yes—
449#395C2312yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#391C2311yescharacteristic
457#391C2312yes—
458#391C2314yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#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#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2312yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#383C2312yes—
675#383C2312yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#382C2314yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797#376C2312yes—
798#376C2312yes—
799#376C2314yes—
800#376C2314yes—
801#376C2314yes—
802C2×#95C2312yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C43C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C22×Q8—24no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854#126—44no—
855#126—48no—
856#126—44no—
857#125—24no—
858#125—24no—
859#125—24no—
860#125—24no—
861#125—28no—
862#125—28no—
863#124—28no—
864#123—216no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—216no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—48no—
882C4×Q8—48no—
883C4×D4—216no—
884C4×D4—28no—
885#117—24no—
886#117—24no—
887#117—24no—
888#117—24no—
889#117—24no—
890#117—28no—
891#117—216no—
892#117—48no—
893#117#4118yes—
894#117#4118yes—
895C2×C4⋊C4—24no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—28no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—42no—
901C2×C4⋊C4—42no—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C42—24no—
1007C2×C42—24no—
1008C2×C42—24no—
1009C2×C42—44no—
1010C2×C42C2414yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2414yes—
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148#41—416no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—28no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—42no—
1173C2×Q8—416no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—28no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—41no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4C2×#4114yes—
1217C22×C4C2×#4114yes—
1218C22×C42−1+414yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—28no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4C2×#4114yes—
1327C4⋊C4C2×#4114yes—
1328C4⋊C4C2×#4114yes—
1329C4⋊C4C2×#4114yes—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4C2×#4118yes—
1355C22⋊C4C2×#4118yes—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—28no—
1365C42—24no—
1366C42—28no—
1367C42—28no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—28no—
1377C42—24no—
1378C42—44no—
1379C42—42no—
1380C42—44no—
1381C42—42no—
1382C42—42no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—42no—
1391C42—42no—
1392C42—44no—
1393C42—42no—
1394C42C2×#4118yes—
1395C42C2×#4118yes—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23C22×#4112yes—
1408C23C22×#4112yes—
1409C23C2×2−1+412yes—
1410C23C2611yescharacteristic
1411Q8—48no—
1412Q8—48no—
1413Q8—48no—
1414Q8—44no—
1415Q8—84no—
1416Q8—88no—
1417Q8—84no—
1418Q8—84no—
1419D4—48no—
1420D4—44no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—48no—
1511C2×C4—48no—
1512C2×C4—88no—
1513C2×C4—82no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—82no—
1517C2×C4—82no—
1518C2×C4—84no—
1519C2×C4—82no—
1520C2×C4#556116yes—
1521C2×C4C22×#4114yes—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4114yes—
1524C2×C4C22×#4114yes—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4C22×#4112yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22C2×#55614yes—
1547C22C23×#4111yescharacteristic
1548C22C23×#4111yescharacteristic
1549C22C22×2−1+411yescharacteristic
1550C22C2×#58511yescharacteristic
1551C22C2×#58511yescharacteristic
1552C222−1+611yescharacteristic
1553C222−1+611yescharacteristic
1554C4—22no—
1555C4—24no—
1556C4—24no—
1557C4—24no—
1558C4—24no—
1559C4—22no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—44no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—44no—
1580C4—42no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—44no—
1585C4C2×#55614yes—
1586C4C2×#55614yes—
1587C2—24no—
1588C2—82no—
1589C2C22×#55611yescharacteristic
1590C2#6283111yescharacteristic
1591C2#6288911yescharacteristic
1592C2#6299311yescharacteristic
1593C2#6299511yescharacteristic
1594C2#6299511yescharacteristic
1595C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59876C2semidirect
2. #59875C2semidirect
3. #59718C2semidirect
4. #59708C2semidirect
5. #59583C2semidirect
6. #59574C2semidirect
7. #59557C2semidirect
8. #59443C2semidirect
9. #59426C2semidirect
10. #59348C2semidirect
11. #45431C2semidirect
12. #45370C2semidirect
13. #45295C2semidirect
14. #45199C2semidirect
15. #45174C2semidirect
16. #45163C2semidirect
17. #45152C2semidirect
18. #45001C2semidirect
19. #43691C2semidirect
20. #43626C2semidirect
21. #35668C2semidirect
22. #35630C2semidirect
27. #34938C2semidirect
29. C2×#2514C2semidirect
31. #34272C2semidirect
32. #34254C2semidirect
34. #34215C2semidirect
35. #34213C2semidirect

Maximal subgroups

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

subgroupindex
#598762
#598752
#597182
#597082
#595832
#595742
#595572
#594432
#594262
#593482
#454312
#453702
#452952
#451992
#451742
#451632
#451522
#450012
#436912
#436262
#356682
#356302
#356282
#356202
#355452
#349382
#348162
C2×#25142
#342762
#342722
#342542
#342522
#342152
#342132