Finite Group Databasebeta

← #7987463

Subgroups — #7987463

Order 512.

4353 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59895C212yesmaximal, complemented
2#59666C211yesmaximal, characteristic, complemented
3#59482C212yesmaximal, complemented
4#59078C211yesmaximal, characteristic, complemented
5#59071C211yesmaximal, characteristic, complemented
6#49119C214yesmaximal, complemented
7#49013C214yesmaximal, complemented
8#46128C214yesmaximal, complemented
9#45401C212yesmaximal, complemented
10#45294C212yesmaximal, complemented
11#45205C212yesmaximal, complemented
12#45173C212yesmaximal, complemented
13#42900C212yesmaximal, complemented
14#42899C212yesmaximal, complemented
15#42769C212yesmaximal, complemented
16#42729C212yesmaximal, complemented
17#39771C211yesmaximal, characteristic, complemented
18#39734C211yesmaximal, characteristic, complemented
19#38987C211yesmaximal, characteristic, complemented
20#38933C211yesmaximal, characteristic, complemented
21#38291C212yesmaximal, complemented
22#38225C212yesmaximal, complemented
23#38161C214yesmaximal, complemented
24#36585C212yesmaximal, complemented
25#36485C212yesmaximal, complemented
26#36460C211yesmaximal, characteristic, complemented
27#36302C211yesmaximal, characteristic, complemented
28#36150C211yesmaximal, characteristic
29#35216C212yesmaximal, complemented
30#35188C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34793C211yesmaximal, characteristic, complemented
33#34488C211yesmaximal, characteristic, complemented
34#34393C211yesmaximal, characteristic, complemented
35#34154C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#532C2211yescharacteristic
39#2866C2214yes—
40#2865C2214yes—
41#2861C2212yes—
42#2860C2214yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2857C2211yescharacteristic
46#2856C2211yescharacteristic
47#2837C2214yes—
48#2829C2214yes—
49#2808C2214yes—
50#2803C2214yes—
51#2802C2214yes—
52#2800C2214yes—
53#2796C2214yes—
54#2796C2214yes—
55#2787C2214yes—
56#2786C2214yes—
57#2786C2214yes—
58#2783C2214yes—
59#2781C2214yes—
60#2773C2214yes—
61#2771C2214yes—
62#2770C2214yes—
63#2768C2214yes—
64#2766C2214yes—
65#2766C2214yes—
66#2761C2214yes—
67#2757C2214yes—
68#2754C2214yes—
69#2753C2214yes—
70#2752C2214yes—
71#2751C2214yes—
72#2747C2214yes—
73#2744C2214yes—
74#2740C2214yes—
75#2740C2214yes—
76#2738C2214yes—
77#2738C2214yes—
78#2737C2214yes—
79#2737C2214yes—
80#2719C2214yes—
81#2711C2214yes—
82#2654C2214yes—
83#2654C2214yes—
84#2653C2214yes—
85#2651C2214yes—
86#2651C2214yes—
87#2650C2214yes—
88#2647C2212yes—
89#2644C2212yes—
90#2640C2212yes—
91#2621C2212yes—
92#2611C2214yes—
93#2595C2214yes—
94#2595C2214yes—
95#2594C2214yes—
96#2594C2214yes—
97#2592C2212yes—
98#2587C2214yes—
99#2587C2214yes—
100#2582C2212yes—
101#2581C2212yes—
102#2580C2212yes—
103#2577C2214yes—
104#2575C2214yes—
105#2575C2214yes—
106#2574C2214yes—
107#2573C2214yes—
108#2571C2211yescharacteristic
109#2570C2212yes—
110#2569C2214yes—
111#2568C2211yescharacteristic
112#2565C2212yes—
113#2565C2212yes—
114#2559C2214yes—
115#2552C2211yescharacteristic
116#2550C2212yes—
117#2548C2211yescharacteristic
118#2548C2211yescharacteristic
119#2547C2212yes—
120#2546C2211yescharacteristic
121#2545C2212yes—
122#2545C2212yes—
123#2540C2212yes—
124#2533C2212yes—
125#2532C2214yes—
126#2531C2214yes—
127#2531C2214yes—
128#2530C2212yes—
129#2528C2212yes—
130#2527C2212yes—
131#2526C2214yes—
132#2523C2212yes—
133#2520C2214yes—
134#2519C2214yes—
135#2517C2212yes—
136#2515C2214yes—
137#2515C2214yes—
138#2514C2212yes—
139#2514C2212yes—
140#2514C2211yescharacteristic
141#2513C2214yes—
142#2513C2214yes—
143#2513C2214yes—
144#2513C2212yes—
145#2513C2212yes—
146#2513C2212yes—
147#2513C2214yes—
148#2512C2212yes—
149#2511C2211yescharacteristic
150#2510C2214yes—
151#2509C2211yescharacteristic
152#2508C2212yes—
153#2507C2212yes—
154#2507C2212yes—
155#2506C2211yescharacteristic
156#2500C2212yes—
157#2500C2212yes—
158#2499C2211yescharacteristic
159#2499C2211yescharacteristic
160#2496C2211yescharacteristic
161#2495C2212yes—
162#2494C2214yes—
163#2494C2212yes—
164#2494C2212yes—
165#2494C2214yes—
166#2494C2214yes—
167#2494C2211yescharacteristic
168#2493C2214yes—
169#2492C2211yescharacteristic
170#2490C2212yes—
171#2490C2212yes—
172#2490C2212yes—
173#2489C2212yes—
174#2489C2211yescharacteristic
175#2489C2212yes—
176#2485C2211yescharacteristic
177#2485C2211yescharacteristic
178#2479C2214yes—
179#2478C2214yes—
180#2476C2214yes—
181#2475C2214yes—
182#2466C2212yes—
183#2460C2214yes—
184#2460C2212yes—
185#2454C2212yes—
186#2454C2212yes—
187#2454C2212yes—
188#2453C2212yes—
189#2448C2212yes—
190#2448C2212yes—
191#2448C2212yes—
192#2448C2212yes—
193#2447C2212yes—
194#2447C2212yes—
195#2447C2212yes—
196#2446C2212yes—
197#2446C2212yes—
198#2441C2211yescharacteristic
199#2439C2211yescharacteristic
200#2432C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2426C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2421C2212yes—
212#2420C2212yes—
213#2415C2211yescharacteristic
214#2415C2211yescharacteristic
215#2414C2212yes—
216#2407C2212yes—
217#2401C2212yes—
218#2401C2212yes—
219#2398C2212yes—
220#2395C2212yes—
221#2382C2214yes—
222#2377C2214yes—
223#2371C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2367C2212yes—
227#2367C2212yes—
228#2366C2211yescharacteristic
229#2366C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2211yescharacteristic
234#2365C2211yescharacteristic
235#2365C2212yes—
236#2365C2212yes—
237#2363C2212yes—
238#2363C2212yes—
239#2363C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2357C2212yes—
245#2357C2212yes—
246#2355C2212yes—
247#2355C2211yescharacteristic
248#2354C2212yes—
249#2351C2212yes—
250#2351C2212yes—
251#2351C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253#2349C2212yes—
254#2343C2214yes—
255#2341C2212yes—
256#2341C2212yes—
257#2341C2212yes—
258#2339C2212yes—
259#2336C2214yes—
260#2330C2212yes—
261#2327C2212yes—
262#2326C2212yes—
263#2326C2212yes—
264#2326C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2320C2212yes—
269#2320C2212yes—
270#2320C2212yes—
271#2319C2212yes—
272#2318C2214yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#125C2212yes—
277C4×#126C2214yes—
278C4×#126C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284#2298C2214yes—
285#2298C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#557—28no—
301#533—28no—
302#532—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366#401C2312yes—
367#401C2314yes—
368#401C2312yes—
369#401C2314yes—
370#400C2314yes—
371#400C2312yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2314yes—
432#397C2312yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2312yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2312yes—
466#393C2312yes—
467#392C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2311yescharacteristic
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
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#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
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#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#383C2312yes—
698#383C2314yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2314yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2314yes—
715#382C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C43C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2414yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—42no—
839C4⋊Q8—44no—
840C4⋊Q8#4118yes—
841#127—24no—
842#126—48no—
843#126—44no—
844#125—28no—
845#125—216no—
846#125—28no—
847#125—44no—
848#125—42no—
849#125—44no—
850#124—28no—
851#124—44no—
852#124—44no—
853#124—44no—
854#124—44no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—42no—
858C22⋊Q8—42no—
859C22⋊Q8—42no—
860C22⋊Q8—42no—
861C22⋊Q8—44no—
862#121—28no—
863#121—28no—
864#121—44no—
865#121—44no—
866#121—44no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—42no—
888C4×D4—42no—
889C4×D4—42no—
890#117—28no—
891#117—44no—
892#117—48no—
893#117—42no—
894#117—42no—
895#117—42no—
896#117—42no—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C42—24no—
1016C2×C42—24no—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2511yescharacteristic
1143C24C2514yes—
1144C24C2511yescharacteristic
1145#41—816no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—42no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8C2×#4118yes—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—28no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—28no—
1195C22×C4—41no—
1196C22×C4—44no—
1197C22×C4—41no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—41no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2514yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4C2×#4118yes—
1308C4⋊C4C2×#4118yes—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—22no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—44no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—28no—
1363C42—28no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—24no—
1378C42—42no—
1379C42—42no—
1380C42—41no—
1381C42—44no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—42no—
1386C42—41no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42C2×#4114yes—
1395C23—21no—
1396C23—24no—
1397C23—21no—
1398C23—21no—
1399C23—24no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—24no—
1405C23—24no—
1406C23—24no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—24no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—24no—
1416C23C2611yescharacteristic
1417Q8—216no—
1418Q8—44no—
1419Q8—44no—
1420Q8—48no—
1421Q8—84no—
1422D4—44no—
1423D4—48no—
1424D4—48no—
1425D4—84no—
1426D4—88no—
1427D4—164no—
1428C2×C4—21no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—82no—
1521C2×C4—88no—
1522C2×C4—88no—
1523C2×C4—164no—
1524C2×C4C22×#4112yes—
1525C2×C4C22×#4118yes—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4112yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C2×C4#58512yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—41no—
1534C22—41no—
1535C22—44no—
1536C22—44no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—44no—
1542C22—41no—
1543C22—44no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—44no—
1548C22—41no—
1549C22—41no—
1550C22—44no—
1551C22—44no—
1552C22—41no—
1553C22—41no—
1554C22C23×#4111yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C222−1+611yescharacteristic
1561C4—22no—
1562C4—22no—
1563C4—28no—
1564C4—42no—
1565C4—42no—
1566C4—41no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—42no—
1578C4—44no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—44no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4#352114yes—
1592C4#352414yes—
1593C2—81no—
1594C2—81no—
1595C2—84no—
1596C2#6276211yescharacteristic
1597C2C2×#352111yescharacteristic
1598C2C2×#352411yescharacteristic
1599C2#6296711yescharacteristic
1600C2#6296811yescharacteristic
1601C2#6300511yescharacteristic
1602C2#6303611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36150C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59895C2semidirect
2. #59666C2semidirect
3. #59482C2semidirect
4. #59078C2semidirect
5. #59071C2semidirect
6. #49119C2semidirect
7. #49013C2semidirect
8. #46128C2semidirect
9. #45401C2semidirect
10. #45294C2semidirect
11. #45205C2semidirect
12. #45173C2semidirect
13. #42900C2semidirect
14. #42899C2semidirect
15. #42769C2semidirect
16. #42729C2semidirect
17. #39771C2semidirect
18. #39734C2semidirect
19. #38987C2semidirect
20. #38933C2semidirect
21. #38291C2semidirect
22. #38225C2semidirect
23. #38161C2semidirect
24. #36585C2semidirect
25. #36485C2semidirect
26. #36460C2semidirect
27. #36302C2semidirect
29. #35216C2semidirect
30. #35188C2semidirect
31. #34803C2semidirect
32. #34793C2semidirect
33. #34488C2semidirect
34. #34393C2semidirect
35. #34154C2semidirect

Maximal subgroups

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

subgroupindex
#598952
#596662
#594822
#590782
#590712
#491192
#490132
#461282
#454012
#452942
#452052
#451732
#429002
#428992
#427692
#427292
#397712
#397342
#389872
#389332
#382912
#382252
#381612
#365852
#364852
#364602
#363022
#361502
#352162
#351882
#348032
#347932
#344882
#343932
#341542