Finite Group Databasebeta

← #7658061

Subgroups — #7658061

Order 512.

4249 conjugacy classes of subgroups.

The subgroup lattice has 1595 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42863C212yesmaximal, complemented
2#42861C212yesmaximal, complemented
3#42860C212yesmaximal, complemented
4#42858C212yesmaximal, complemented
5#41563C214yesmaximal, complemented
6#41558C214yesmaximal, complemented
7#41551C214yesmaximal, complemented
8#41546C214yesmaximal, complemented
9#39200C211yesmaximal, characteristic, complemented
10#39197C212yesmaximal, complemented
11#39193C211yesmaximal, characteristic, complemented
12#39186C212yesmaximal, complemented
13#38943C211yesmaximal, characteristic, complemented
14#38937C212yesmaximal, complemented
15#38930C211yesmaximal, characteristic, complemented
16#38927C212yesmaximal, complemented
17#37628C211yesmaximal, characteristic, complemented
18#37627C211yesmaximal, characteristic, complemented
19#37582C212yesmaximal, complemented
20#37579C212yesmaximal, complemented
21#36535C211yesmaximal, characteristic, complemented
22#36508C211yesmaximal, characteristic, complemented
23#36505C211yesmaximal, characteristic, complemented
24#36504C211yesmaximal, characteristic
25#36069C212yesmaximal, complemented
26#36058C212yesmaximal, complemented
27#36050C212yesmaximal, complemented
28#36037C212yesmaximal, complemented
29#35340C212yesmaximal, complemented
30#35291C211yesmaximal, characteristic, complemented
31#34629C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34322C211yesmaximal, characteristic, complemented
35#34125C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2864C2212yes—
40#2862C2211yescharacteristic
41#2861C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2851C2212yes—
46#2850C2212yes—
47#2839C2214yes—
48#2837C2214yes—
49#2836C2214yes—
50#2836C2214yes—
51#2830C2214yes—
52#2829C2214yes—
53#2803C2214yes—
54#2802C2214yes—
55#2802C2214yes—
56#2800C2214yes—
57#2800C2214yes—
58#2797C2214yes—
59#2784C2214yes—
60#2781C2214yes—
61#2779C2214yes—
62#2775C2214yes—
63#2773C2214yes—
64#2773C2214yes—
65#2771C2214yes—
66#2770C2214yes—
67#2769C2214yes—
68#2769C2214yes—
69#2768C2214yes—
70#2767C2214yes—
71#2757C2214yes—
72#2754C2214yes—
73#2744C2214yes—
74#2744C2214yes—
75#2743C2214yes—
76#2738C2214yes—
77#2667C2214yes—
78#2666C2214yes—
79#2655C2214yes—
80#2655C2214yes—
81#2654C2212yes—
82#2654C2214yes—
83#2654C2214yes—
84#2653C2212yes—
85#2652C2214yes—
86#2652C2214yes—
87#2651C2214yes—
88#2651C2214yes—
89#2651C2214yes—
90#2651C2214yes—
91#2650C2212yes—
92#2650C2214yes—
93#2649C2212yes—
94#2648C2214yes—
95#2647C2211yescharacteristic
96#2647C2212yes—
97#2647C2212yes—
98#2645C2212yes—
99#2645C2211yescharacteristic
100#2644C2211yescharacteristic
101#2644C2212yes—
102#2642C2212yes—
103#2640C2211yescharacteristic
104#2629C2212yes—
105#2628C2211yescharacteristic
106#2625C2212yes—
107#2625C2211yescharacteristic
108#2625C2212yes—
109#2625C2212yes—
110#2625C2212yes—
111#2625C2212yes—
112#2624C2212yes—
113#2624C2211yescharacteristic
114#2621C2212yes—
115#2620C2211yescharacteristic
116#2620C2212yes—
117#2597C2214yes—
118#2597C2214yes—
119#2596C2214yes—
120#2595C2214yes—
121#2594C2214yes—
122#2593C2214yes—
123#2592C2212yes—
124#2590C2214yes—
125#2588C2214yes—
126#2582C2212yes—
127#2581C2212yes—
128#2578C2214yes—
129#2577C2214yes—
130#2576C2214yes—
131#2575C2214yes—
132#2575C2214yes—
133#2572C2214yes—
134#2571C2211yescharacteristic
135#2571C2212yes—
136#2570C2212yes—
137#2565C2212yes—
138#2565C2212yes—
139#2562C2212yes—
140#2552C2211yescharacteristic
141#2550C2212yes—
142#2547C2211yescharacteristic
143#2546C2211yescharacteristic
144#2545C2212yes—
145#2542C2211yescharacteristic
146#2542C2211yescharacteristic
147#2540C2212yes—
148#2538C2211yescharacteristic
149#2537C2211yescharacteristic
150#2536C2212yes—
151#2536C2212yes—
152#2536C2212yes—
153#2532C2214yes—
154#2532C2214yes—
155#2531C2214yes—
156#2529C2214yes—
157#2529C2214yes—
158#2529C2214yes—
159#2526C2214yes—
160#2526C2214yes—
161#2525C2214yes—
162#2525C2214yes—
163#2524C2214yes—
164#2524C2214yes—
165#2519C2214yes—
166#2519C2214yes—
167#2516C2214yes—
168#2515C2214yes—
169#2514C2212yes—
170#2513C2214yes—
171#2513C2212yes—
172#2511C2212yes—
173#2509C2212yes—
174#2508C2212yes—
175#2508C2212yes—
176#2507C2212yes—
177#2504C2212yes—
178#2503C2212yes—
179#2497C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2495C2212yes—
183#2495C2214yes—
184#2495C2212yes—
185#2495C2212yes—
186#2495C2212yes—
187#2494C2212yes—
188#2492C2212yes—
189#2490C2212yes—
190#2490C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2479C2214yes—
194#2475C2214yes—
195#2467C2214yes—
196#2460C2214yes—
197#2453C2212yes—
198#2448C2212yes—
199#2446C2212yes—
200#2442C2212yes—
201#2432C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2427C2212yes—
207#2426C2212yes—
208#2423C2212yes—
209#2423C2212yes—
210#2423C2212yes—
211#2421C2212yes—
212#2421C2212yes—
213#2421C2212yes—
214#2420C2212yes—
215#2417C2212yes—
216#2407C2212yes—
217#2402C2214yes—
218#2402C2214yes—
219#2401C2212yes—
220#2401C2214yes—
221#2401C2214yes—
222#2398C2212yes—
223#2396C2212yes—
224#2395C2212yes—
225#2373C2214yes—
226#2371C2214yes—
227#2370C2212yes—
228#2370C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2365C2211yescharacteristic
232#2365C2211yescharacteristic
233#2365C2212yes—
234#2363C2212yes—
235#2362C2212yes—
236#2362C2212yes—
237#2362C2212yes—
238#2360C2212yes—
239#2357C2212yes—
240#2357C2212yes—
241#2357C2211yescharacteristic
242#2357C2211yescharacteristic
243#2356C2212yes—
244#2356C2212yes—
245#2355C2211yescharacteristic
246#2355C2211yescharacteristic
247#2355C2211yescharacteristic
248#2355C2212yes—
249#2354C2212yes—
250#2351C2212yes—
251#2351C2211yescharacteristic
252#2351C2211yescharacteristic
253D4×C4⋊C4C2211yescharacteristic
254#2347C2212yes—
255#2347C2212yes—
256#2347C2211yescharacteristic
257#2347C2211yescharacteristic
258#2346C2212yes—
259#2341C2211yescharacteristic
260#2341C2211yescharacteristic
261#2336C2214yes—
262#2334C2214yes—
263#2327C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2320C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2276C2212yes—
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#557—28no—
301#556—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#124C2311yescharacteristic
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2311yescharacteristic
327C4×#41—28no—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C22×C4⋊C4C2312yes—
359C22×C42C2312yes—
360C22×C42C2311yescharacteristic
361#401C2314yes—
362#401C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2312yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#395C2314yes—
462#395C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#394C2312yes—
476#393C2312yes—
477#393C2314yes—
478#393C2312yes—
479#393C2312yes—
480#392C2314yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2314yes—
509#390C2311yescharacteristic
510#390C2312yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2314yes—
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#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#384C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2312yes—
689#383C2312yes—
690#383C2312yes—
691#383C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#381C2312yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2311yescharacteristic
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—24no—
814C2×#41—42no—
815C2×#41—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—42no—
838C4⋊Q8—44no—
839#126—216no—
840#125—216no—
841#125—28no—
842#125—44no—
843#125—44no—
844#124—28no—
845#124—44no—
846#124—42no—
847C22⋊Q8—28no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—42no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—44no—
856#121—44no—
857#121—42no—
858#121—44no—
859C4×Q8—24no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—44no—
865C4×Q8—42no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—42no—
873C4×Q8#4118yes—
874C4×D4—24no—
875C4×D4—28no—
876C4×D4—24no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—44no—
880C4×D4—44no—
881#117—24no—
882#117—28no—
883#117—28no—
884#117—44no—
885#117—42no—
886#117—42no—
887#117—44no—
888#117—44no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C42—24no—
1011C2×C42—28no—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2412yes—
1065#95C2412yes—
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137C24C2512yes—
1138C24C2511yescharacteristic
1139C24C2512yes—
1140#41—416no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8C2×#4114yes—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4C2511yescharacteristic
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2514yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—41no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—42no—
1268C4⋊C4—41no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4C2×#4114yes—
1299C4⋊C4C2×#4118yes—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—41no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C42—22no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—28no—
1353C42—28no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—44no—
1372C42—44no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C42—42no—
1381C42—42no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42C2×#4114yes—
1387C42C2×#4118yes—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—22no—
1392C23—21no—
1393C23—22no—
1394C23—21no—
1395C23—22no—
1396C23—21no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—21no—
1404C23—22no—
1405C23—22no—
1406C23—21no—
1407C23—22no—
1408C23—22no—
1409C23C2611yescharacteristic
1410Q8—28no—
1411Q8—48no—
1412Q8—44no—
1413Q8—48no—
1414Q8—84no—
1415D4—48no—
1416D4—44no—
1417D4—44no—
1418D4—84no—
1419D4—164no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—48no—
1508C2×C4—48no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—84no—
1513C2×C4—82no—
1514C2×C4—164no—
1515C2×C4C22×#4114yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4114yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4#58512yes—
1521C2×C4#58512yes—
1522C2×C4#58512yes—
1523C2×C4#58512yes—
1524C22—41no—
1525C22—42no—
1526C22—42no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—41no—
1531C22—42no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—41no—
1543C22—42no—
1544C22—41no—
1545C22C23×#4111yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C222−1+611yescharacteristic
1551C222−1+611yescharacteristic
1552C4—24no—
1553C4—22no—
1554C4—24no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—41no—
1573C4—44no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—44no—
1582C4#345514yes—
1583C4#352414yes—
1584C2—81no—
1585C2—82no—
1586C2—82no—
1587C2C2×#345511yescharacteristic
1588C2C2×#352411yescharacteristic
1589C2#6286111yescharacteristic
1590C2#6293911yescharacteristic
1591C2#6293911yescharacteristic
1592C2#6296811yescharacteristic
1593C2#6296811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36504C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42863C2semidirect
2. #42861C2semidirect
3. #42860C2semidirect
4. #42858C2semidirect
5. #41563C2semidirect
6. #41558C2semidirect
7. #41551C2semidirect
8. #41546C2semidirect
9. #39200C2semidirect
10. #39197C2semidirect
11. #39193C2semidirect
12. #39186C2semidirect
13. #38943C2semidirect
14. #38937C2semidirect
15. #38930C2semidirect
16. #38927C2semidirect
17. #37628C2semidirect
18. #37627C2semidirect
19. #37582C2semidirect
20. #37579C2semidirect
21. #36535C2semidirect
22. #36508C2semidirect
23. #36505C2semidirect
25. #36069C2semidirect
26. #36058C2semidirect
27. #36050C2semidirect
28. #36037C2semidirect
29. #35340C2semidirect
30. #35291C2semidirect
31. #34629C2semidirect
32. #34619C2semidirect
33. #34328C2semidirect
34. #34322C2semidirect
35. #34125C2semidirect

Maximal subgroups

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

subgroupindex
#428632
#428612
#428602
#428582
#415632
#415582
#415512
#415462
#392002
#391972
#391932
#391862
#389432
#389372
#389302
#389272
#376282
#376272
#375822
#375792
#365352
#365082
#365052
#365042
#360692
#360582
#360502
#360372
#353402
#352912
#346292
#346192
#343282
#343222
#341252