Finite Group Databasebeta

← #7987069

Subgroups — #7987069

Order 512.

4355 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59443C211yesmaximal, characteristic, complemented
2#59329C211yesmaximal, characteristic, complemented
3#59281C212yesmaximal
4#59253C212yesmaximal, complemented
5#59245C211yesmaximal, characteristic, complemented
6#49278C214yesmaximal, complemented
7#49162C214yesmaximal, complemented
8#46217C214yesmaximal, complemented
9#45371C212yesmaximal, complemented
10#45231C212yesmaximal, complemented
11#45191C212yesmaximal, complemented
12#45116C212yesmaximal, complemented
13#42958C212yesmaximal, complemented
14#42948C212yesmaximal, complemented
15#42782C212yesmaximal, complemented
16#42747C212yesmaximal, complemented
17#39762C211yesmaximal, characteristic, complemented
18#39159C211yesmaximal, characteristic, complemented
19#38967C211yesmaximal, characteristic, complemented
20#38911C211yesmaximal, characteristic, complemented
21#38632C214yesmaximal, complemented
22#38060C212yesmaximal, complemented
23#37985C212yesmaximal, complemented
24#36409C212yesmaximal, complemented
25#36409C212yesmaximal, complemented
26#36274C211yesmaximal, characteristic, complemented
27#36189C211yesmaximal, characteristic, complemented
28#36177C211yesmaximal, characteristic, complemented
29#35313C212yesmaximal, complemented
30#35213C212yesmaximal, complemented
31#34780C211yesmaximal, characteristic, complemented
32#34724C211yesmaximal, characteristic
33#34487C211yesmaximal, characteristic, complemented
34#34384C211yesmaximal, characteristic, complemented
35#34121C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2863C2214yes—
40#2863C2214yes—
41#2863C2214yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2855C2212yes—
47#2839C2214yes—
48#2833C2214yes—
49#2802C2214yes—
50#2799C2214yes—
51#2794C2214yes—
52#2788C2214yes—
53#2788C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2776C2214yes—
57#2776C2214yes—
58#2771C2214yes—
59#2770C2214yes—
60#2764C2214yes—
61#2764C2214yes—
62#2764C2214yes—
63#2760C2214yes—
64#2758C2214yes—
65#2758C2214yes—
66#2758C2214yes—
67#2758C2214yes—
68#2750C2214yes—
69#2750C2214yes—
70#2747C2214yes—
71#2747C2214yes—
72#2746C2214yes—
73#2745C2214yes—
74#2743C2214yes—
75#2743C2214yes—
76#2743C2214yes—
77#2742C2214yes—
78#2739C2214yes—
79#2739C2214yes—
80#2689C2214yes—
81#2687C2214yes—
82#2667C2214yes—
83#2665C2214yes—
84#2665C2214yes—
85#2655C2214yes—
86#2645C2214yes—
87#2645C2212yes—
88#2645C2214yes—
89#2642C2212yes—
90#2628C2212yes—
91#2625C2212yes—
92#2612C2214yes—
93#2612C2214yes—
94#2608C2214yes—
95#2607C2214yes—
96#2588C2214yes—
97#2582C2211yescharacteristic
98#2582C2211yescharacteristic
99#2575C2214yes—
100#2573C2214yes—
101#2573C2214yes—
102#2572C2214yes—
103#2572C2214yes—
104#2572C2214yes—
105#2571C2211yescharacteristic
106#2570C2212yes—
107#2570C2212yes—
108#2570C2212yes—
109#2570C2212yes—
110#2568C2211yescharacteristic
111#2568C2211yescharacteristic
112#2568C2212yes—
113#2568C2212yes—
114#2565C2212yes—
115#2563C2212yes—
116#2551C2211yescharacteristic
117#2550C2212yes—
118#2550C2212yes—
119#2533C2214yes—
120#2533C2214yes—
121#2533C2214yes—
122#2533C2214yes—
123#2527C2214yes—
124#2527C2214yes—
125#2527C2214yes—
126#2527C2214yes—
127#2527C2214yes—
128#2527C2214yes—
129#2524C2212yes—
130#2515C2212yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2212yes—
134#2514C2212yes—
135#2514C2212yes—
136#2514C2212yes—
137#2514C2212yes—
138#2514C2212yes—
139#2514C2212yes—
140#2514C2211yescharacteristic
141#2511C2212yes—
142#2511C2212yes—
143#2511C2212yes—
144#2511C2212yes—
145#2511C2212yes—
146#2509C2212yes—
147#2509C2212yes—
148#2509C2212yes—
149#2509C2212yes—
150#2509C2212yes—
151#2508C2211yescharacteristic
152#2507C2212yes—
153#2505C2214yes—
154#2503C2211yescharacteristic
155#2503C2212yes—
156#2503C2212yes—
157#2503C2212yes—
158#2497C2212yes—
159#2497C2212yes—
160#2495C2211yescharacteristic
161#2495C2212yes—
162#2493C2214yes—
163#2493C2214yes—
164#2493C2214yes—
165#2493C2212yes—
166#2493C2214yes—
167#2493C2214yes—
168#2493C2214yes—
169#2492C2212yes—
170#2492C2212yes—
171#2492C2212yes—
172#2492C2212yes—
173#2489C2211yescharacteristic
174#2487C2212yes—
175#2486C2211yescharacteristic
176#2485C2214yes—
177#2484C2214yes—
178#2478C2212yes—
179#2470C2214yes—
180#2470C2214yes—
181#2470C2212yes—
182#2466C2212yes—
183#2457C2214yes—
184#2455C2212yes—
185#2454C2212yes—
186#2453C2211yescharacteristic
187#2451C2212yes—
188#2450C2214yes—
189#2447C2211yescharacteristic
190#2447C2212yes—
191#2446C2212yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2211yescharacteristic
195#2441C2212yes—
196#2441C2211yescharacteristic
197#2439C2212yes—
198#2439C2212yes—
199#2439C2212yes—
200#2438C2214yes—
201#2432C2211yescharacteristic
202#2429C2211yescharacteristic
203#2423C2212yes—
204#2422C2211yescharacteristic
205#2421C2212yes—
206#2420C2212yes—
207#2419C2212yes—
208#2419C2214yes—
209#2417C2212yes—
210#2417C2212yes—
211#2417C2211yescharacteristic
212#2415C2211yescharacteristic
213#2415C2212yes—
214#2409C2212yes—
215#2409C2212yes—
216#2407C2211yescharacteristic
217#2402C2212yes—
218#2401C2212yes—
219#2395C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2378C2214yes—
223#2369C2212yes—
224#2369C2212yes—
225#2365C2211yescharacteristic
226#2362C2212yes—
227#2362C2212yes—
228#2361C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2357C2212yes—
233#2357C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2353C2214yes—
245#2353C2214yes—
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249#2352C2212yes—
250Q8×C4⋊C4C2211yescharacteristic
251#2349C2212yes—
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254#2345C2212yes—
255#2344C2212yes—
256#2344C2212yes—
257Q8×C22⋊C4C2212yes—
258#2339C2212yes—
259#2332C2214yes—
260#2331C2212yes—
261#2331C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2326C2212yes—
265#2323C2212yes—
266#2322C2214yes—
267#2319C2212yes—
268#2317C2212yes—
269#2316C2212yes—
270#2314C2212yes—
271#2310C2212yes—
272#2310C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#123C2212yes—
282#2298C2214yes—
283#2298C2214yes—
284#2297C2212yes—
285#2296C2212yes—
286#2295C2211yescharacteristic
287C2×#391C2212yes—
288#2293C2211yescharacteristic
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2283C2212yes—
294#2283C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301D4×Q8—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307#529—28no—
308C2×#126C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#124C2311yescharacteristic
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C4×#41—28no—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×#117C2312yes—
346C2×#117C2311yescharacteristic
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2314yes—
352C2×#117C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C42C2312yes—
360C22×C42C2312yes—
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#401C2314yes—
365#401C2314yes—
366#401C2312yes—
367#401C2314yes—
368#401C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
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#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#399C2314yes—
412#399C2312yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#394C2312yes—
453#394C2312yes—
454#394C2314yes—
455#394C2312yes—
456#394C2312yes—
457#394C2312yes—
458#393C2314yes—
459#393C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#392C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2311yescharacteristic
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2314yes—
586#387C2314yes—
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#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2312yes—
684#383C2314yes—
685#383C2312yes—
686#383C2314yes—
687#383C2314yes—
688#383C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#381C2314yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2312yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2314yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C43C2311yescharacteristic
812C43C2314yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—42no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C4⋊Q8—28no—
844C4⋊Q8—24no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—42no—
848#126—28no—
849#125—24no—
850#125—42no—
851#125—44no—
852#124—24no—
853#123—28no—
854#123—44no—
855#123—44no—
856C22⋊Q8—28no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—216no—
860C22⋊Q8—44no—
861C22⋊Q8—42no—
862C22⋊Q8—44no—
863C22⋊Q8—42no—
864C22⋊Q8—42no—
865#121—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×D4—24no—
874C4×D4—28no—
875C4×D4—28no—
876C4×D4—28no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4—48no—
882C4×D4—42no—
883C4×D4#4118yes—
884#117—28no—
885#117—24no—
886#117—28no—
887#117—44no—
888#117—48no—
889#117—44no—
890#117—44no—
891#117—44no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4—42no—
895C2×C4⋊C4—42no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C42—28no—
1008C2×C42—28no—
1009C2×C42—24no—
1010C2×C42—24no—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143C24C2511yescharacteristic
1144#41—416no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—28no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×Q8—816no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—22no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—41no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4C2×#4114yes—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—28no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4C2×#4118yes—
1217C22×C42−1+414yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2514yes—
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4C2×#4114yes—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—22no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—22no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—44no—
1350C22⋊C4—41no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4C2×#4118yes—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—22no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—24no—
1378C42—22no—
1379C42—22no—
1380C42—41no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—41no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42C2×#4114yes—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—22no—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—21no—
1411C23C22×#4114yes—
1412C23C2×2−1+412yes—
1413C23#58512yes—
1414C23C2611yescharacteristic
1415Q8—44no—
1416Q8—44no—
1417Q8—48no—
1418Q8—44no—
1419Q8—88no—
1420Q8—164no—
1421D4—28no—
1422D4—48no—
1423D4—44no—
1424D4—48no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—28no—
1432C2×C4—216no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—44no—
1515C2×C4—48no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—82no—
1520C2×C4—84no—
1521C2×C4—84no—
1522C2×C4—88no—
1523C2×C4—84no—
1524C2×C4—88no—
1525C2×C4—164no—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4114yes—
1528C2×C4C22×#4112yes—
1529C2×C4C22×#4112yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4#58512yes—
1533C2×C4#58512yes—
1534C2×C4#58512yes—
1535C22—22no—
1536C22—24no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—24no—
1541C22—22no—
1542C22—24no—
1543C22—22no—
1544C22—41no—
1545C22—42no—
1546C22—42no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—42no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22C23×#4111yescharacteristic
1557C22C22×2−1+411yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22C2×#58511yescharacteristic
1561C22C2×#58511yescharacteristic
1562C222−1+611yescharacteristic
1563C4—22no—
1564C4—24no—
1565C4—22no—
1566C4—42no—
1567C4—41no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—41no—
1576C4—44no—
1577C4—44no—
1578C4—42no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—44no—
1583C4—41no—
1584C4—42no—
1585C4—42no—
1586C4—41no—
1587C4—42no—
1588C4—42no—
1589C4—41no—
1590C4—44no—
1591C4—42no—
1592C4—42no—
1593C4#349514yes—
1594C4#352114yes—
1595C2—42no—
1596C2—44no—
1597C2—42no—
1598C2#6275211yescharacteristic
1599C2C2×#352111yescharacteristic
1600C2C2×#349511yescharacteristic
1601C2#6295911yescharacteristic
1602C2#6296811yescharacteristic
1603C2#6299311yescharacteristic
1604C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59443C2semidirect
2. #59329C2semidirect
4. #59253C2semidirect
5. #59245C2semidirect
6. #49278C2semidirect
7. #49162C2semidirect
8. #46217C2semidirect
9. #45371C2semidirect
10. #45231C2semidirect
11. #45191C2semidirect
12. #45116C2semidirect
13. #42958C2semidirect
14. #42948C2semidirect
15. #42782C2semidirect
16. #42747C2semidirect
17. #39762C2semidirect
18. #39159C2semidirect
19. #38967C2semidirect
20. #38911C2semidirect
21. #38632C2semidirect
22. #38060C2semidirect
23. #37985C2semidirect
24. #36409C2semidirect
25. #36409C2semidirect
26. #36274C2semidirect
27. #36189C2semidirect
28. #36177C2semidirect
29. #35313C2semidirect
30. #35213C2semidirect
31. #34780C2semidirect
33. #34487C2semidirect
34. #34384C2semidirect
35. #34121C2semidirect

Maximal subgroups

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

subgroupindex
#594432
#593292
#592812
#592532
#592452
#492782
#491622
#462172
#453712
#452312
#451912
#451162
#429582
#429482
#427822
#427472
#397622
#391592
#389672
#389112
#386322
#380602
#379852
#364092
#362742
#361892
#361772
#353132
#352132
#347802
#347242
#344872
#343842
#341212