Finite Group Databasebeta

← #7879707

Subgroups — #7879707

Order 512.

4270 conjugacy classes of subgroups.

The subgroup lattice has 1591 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59456C211yesmaximal, characteristic, complemented
2#59450C212yesmaximal, complemented
3#59390C212yesmaximal
4#59065C211yesmaximal, characteristic, complemented
5#59055C211yesmaximal, characteristic, complemented
6#51156C214yesmaximal, complemented
7#49308C214yesmaximal, complemented
8#46927C214yesmaximal, complemented
9#45293C212yesmaximal, complemented
10#45189C212yesmaximal, complemented
11#45170C212yesmaximal, complemented
12#44978C212yesmaximal, complemented
13#43730C214yesmaximal, complemented
14#42899C212yesmaximal, complemented
15#42771C212yesmaximal, complemented
16#40195C212yesmaximal, complemented
17#39643C211yesmaximal, characteristic, complemented
18#39216C212yesmaximal, complemented
19#39203C211yesmaximal, characteristic, complemented
20#39081C212yesmaximal, complemented
21#38931C211yesmaximal, characteristic, complemented
22#38930C211yesmaximal, characteristic, complemented
23#38927C212yesmaximal, complemented
24#36551C211yesmaximal, characteristic, complemented
25#36481C211yesmaximal, characteristic, complemented
26#36151C211yesmaximal, characteristic, complemented
27#36050C212yesmaximal, complemented
28#35971C212yesmaximal, complemented
29#35650C212yesmaximal, complemented
30#35586C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic
32#34780C211yesmaximal, characteristic, complemented
33#34481C211yesmaximal, characteristic, complemented
34#34235C211yesmaximal, characteristic, complemented
35#34231C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2863C2212yes—
40#2862C2211yescharacteristic
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2851C2212yes—
44#2837C2214yes—
45#2799C2214yes—
46#2798C2214yes—
47#2796C2214yes—
48#2794C2214yes—
49#2793C2214yes—
50#2783C2214yes—
51#2781C2214yes—
52#2775C2214yes—
53#2773C2214yes—
54#2773C2214yes—
55#2772C2214yes—
56#2771C2214yes—
57#2771C2214yes—
58#2770C2214yes—
59#2770C2214yes—
60#2769C2214yes—
61#2768C2214yes—
62#2767C2214yes—
63#2758C2214yes—
64#2758C2214yes—
65#2757C2214yes—
66#2755C2214yes—
67#2755C2214yes—
68#2754C2214yes—
69#2753C2214yes—
70#2744C2214yes—
71#2743C2214yes—
72#2738C2214yes—
73#2738C2214yes—
74#2723C2214yes—
75#2721C2214yes—
76#2718C2214yes—
77#2698C2214yes—
78#2654C2214yes—
79#2651C2214yes—
80#2649C2214yes—
81#2647C2212yes—
82#2647C2212yes—
83#2647C2212yes—
84#2647C2214yes—
85#2625C2212yes—
86#2606C2214yes—
87#2602C2214yes—
88#2596C2214yes—
89#2594C2214yes—
90#2593C2214yes—
91#2589C2214yes—
92#2585C2214yes—
93#2585C2214yes—
94#2584C2212yes—
95#2582C2212yes—
96#2575C2214yes—
97#2575C2214yes—
98#2575C2214yes—
99#2574C2214yes—
100#2571C2212yes—
101#2571C2211yescharacteristic
102#2571C2214yes—
103#2570C2212yes—
104#2570C2212yes—
105#2570C2214yes—
106#2568C2212yes—
107#2567C2211yescharacteristic
108#2565C2212yes—
109#2563C2211yescharacteristic
110#2552C2211yescharacteristic
111#2546C2211yescharacteristic
112#2542C2211yescharacteristic
113#2542C2212yes—
114#2536C2212yes—
115#2536C2212yes—
116#2532C2214yes—
117#2532C2212yes—
118#2532C2214yes—
119#2531C2214yes—
120#2529C2214yes—
121#2529C2214yes—
122#2528C2214yes—
123#2526C2212yes—
124#2525C2214yes—
125#2525C2214yes—
126#2524C2214yes—
127#2524C2214yes—
128#2524C2212yes—
129#2524C2214yes—
130#2522C2214yes—
131#2521C2214yes—
132#2518C2212yes—
133#2518C2214yes—
134#2515C2214yes—
135#2515C2212yes—
136#2515C2214yes—
137#2514C2211yescharacteristic
138#2513C2212yes—
139#2513C2212yes—
140#2513C2211yescharacteristic
141#2511C2214yes—
142#2511C2212yes—
143#2509C2212yes—
144#2509C2214yes—
145#2509C2212yes—
146#2508C2212yes—
147#2508C2212yes—
148#2508C2214yes—
149#2508C2214yes—
150#2508C2211yescharacteristic
151#2508C2212yes—
152#2508C2211yescharacteristic
153#2507C2212yes—
154#2507C2212yes—
155#2507C2214yes—
156#2503C2212yes—
157#2503C2211yescharacteristic
158#2500C2211yescharacteristic
159#2497C2212yes—
160#2497C2211yescharacteristic
161#2497C2212yes—
162#2496C2212yes—
163#2496C2212yes—
164#2495C2212yes—
165#2495C2214yes—
166#2495C2211yescharacteristic
167#2493C2212yes—
168#2491C2211yescharacteristic
169#2489C2212yes—
170#2489C2212yes—
171#2489C2212yes—
172#2489C2212yes—
173#2489C2211yescharacteristic
174#2487C2212yes—
175#2486C2211yescharacteristic
176#2485C2211yescharacteristic
177#2479C2214yes—
178#2469C2214yes—
179#2468C2214yes—
180#2459C2212yes—
181#2454C2212yes—
182#2453C2212yes—
183#2453C2212yes—
184#2453C2212yes—
185#2451C2212yes—
186#2450C2214yes—
187#2448C2212yes—
188#2448C2212yes—
189#2447C2214yes—
190#2446C2212yes—
191#2442C2211yescharacteristic
192#2441C2212yes—
193#2441C2212yes—
194#2439C2211yescharacteristic
195#2429C2212yes—
196#2429C2212yes—
197#2426C2212yes—
198#2426C2212yes—
199#2423C2212yes—
200#2423C2212yes—
201#2421C2212yes—
202#2421C2212yes—
203#2421C2212yes—
204#2421C2212yes—
205#2421C2212yes—
206#2421C2212yes—
207#2420C2212yes—
208#2419C2212yes—
209#2417C2212yes—
210#2417C2211yescharacteristic
211#2415C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2415C2212yes—
215#2414C2211yescharacteristic
216#2402C2212yes—
217#2402C2214yes—
218#2401C2212yes—
219#2398C2212yes—
220#2392C2212yes—
221#2383C2214yes—
222#2370C2212yes—
223#2369C2211yescharacteristic
224#2369C2211yescharacteristic
225#2367C2212yes—
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2362C2212yes—
232#2362C2212yes—
233#2362C2212yes—
234#2362C2212yes—
235#2362C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2357C2214yes—
240#2356C2212yes—
241#2356C2214yes—
242#2355C2212yes—
243#2354C2212yes—
244#2351C2212yes—
245#2351C2212yes—
246#2351C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yes—
253#2347C2212yes—
254#2347C2212yes—
255#2347C2212yes—
256#2346C2212yes—
257#2345C2212yes—
258#2343C2214yes—
259#2336C2214yes—
260#2334C2214yes—
261#2334C2214yes—
262#2332C2214yes—
263#2331C2212yes—
264#2326C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2320C2212yes—
268#2320C2212yes—
269#2320C2212yes—
270#2320C2212yes—
271#2319C2212yes—
272#2317C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#124C2212yes—
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288#2298C2212yes—
289#2295C2211yescharacteristic
290#2293C2211yescharacteristic
291#2283C2212yes—
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294#2276C2212yes—
295#2276C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#556—28no—
300#533—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#124C2312yes—
314C2×#124C2312yes—
315C2×#123C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2312yes—
363#401C2312yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2312yes—
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#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#393C2314yes—
462#393C2312yes—
463#393C2312yes—
464#392C2312yes—
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2311yescharacteristic
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2312yes—
489#391C2312yes—
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2311yescharacteristic
494#390C2314yes—
495#390C2312yes—
496#390C2314yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389C2312yes—
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2312yes—
513#389C2312yes—
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2311yescharacteristic
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2314yes—
678#384C2312yes—
679#384C2314yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2312yes—
685#383C2314yes—
686#383C2312yes—
687#383C2312yes—
688#383C2312yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2311yescharacteristic
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2314yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2311yescharacteristic
711#381C2314yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2412yes—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836C4⋊Q8#4118yes—
837#126—216no—
838#126—48no—
839#125—28no—
840#125—28no—
841#125—44no—
842#125—42no—
843#124—28no—
844#124—44no—
845#123—44no—
846C22⋊Q8—28no—
847C22⋊Q8—28no—
848C22⋊Q8—28no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—42no—
854C22⋊Q8—44no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857#121—24no—
858#121—42no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×D4—24no—
874C4×D4—44no—
875C4×D4—42no—
876C4×D4—42no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—48no—
880C4×D4—42no—
881#117—28no—
882#117—28no—
883#117—28no—
884#117—24no—
885#117—44no—
886#117—42no—
887C2×C4⋊C4—42no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—42no—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C42—24no—
1007C2×C42—24no—
1008C2×C42—44no—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2414yes—
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
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
1139C24C2511yescharacteristic
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×Q8—42no—
1154C2×Q8C2×#4118yes—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—42no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—41no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4C2511yescharacteristic
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—42no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4C2×#4118yes—
1303C4⋊C4C2×#4118yes—
1304C4⋊C42−1+414yes—
1305C22⋊C4—28no—
1306C22⋊C4—22no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—41no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—28no—
1352C42—28no—
1353C42—28no—
1354C42—24no—
1355C42—24no—
1356C42—28no—
1357C42—24no—
1358C42—22no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—42no—
1368C42—42no—
1369C42—41no—
1370C42—42no—
1371C42—42no—
1372C42—44no—
1373C42—41no—
1374C42—44no—
1375C42—44no—
1376C42—44no—
1377C42—44no—
1378C42—44no—
1379C42—44no—
1380C42—42no—
1381C42—44no—
1382C42C2×#4114yes—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—21no—
1403C23#58512yes—
1404C23C2611yescharacteristic
1405Q8—216no—
1406Q8—44no—
1407Q8—48no—
1408Q8—84no—
1409Q8—84no—
1410D4—48no—
1411D4—44no—
1412D4—44no—
1413D4—84no—
1414C2×C4—24no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—48no—
1507C2×C4—82no—
1508C2×C4—84no—
1509C2×C4—84no—
1510C2×C4—164no—
1511C2×C4C22×#4118yes—
1512C2×C4C22×#4112yes—
1513C2×C4C22×#4112yes—
1514C2×C4C22×#4112yes—
1515C2×C4C2×2−1+414yes—
1516C2×C4C2×2−1+412yes—
1517C2×C4#58512yes—
1518C2×C4#58512yes—
1519C2×C4#58512yes—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—42no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—42no—
1534C22—41no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—42no—
1541C22C23×#4111yescharacteristic
1542C22C22×2−1+411yescharacteristic
1543C22C2×#58511yescharacteristic
1544C22C2×#58511yescharacteristic
1545C22C2×#58511yescharacteristic
1546C22C2×#58511yescharacteristic
1547C222−1+611yescharacteristic
1548C4—22no—
1549C4—24no—
1550C4—28no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—44no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—44no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—41no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—41no—
1578C4#351514yes—
1579C4#352414yes—
1580C2—42no—
1581C2—81no—
1582C2—82no—
1583C2C2×#351511yescharacteristic
1584C2C2×#352411yescharacteristic
1585C2#6282711yescharacteristic
1586C2#6293611yescharacteristic
1587C2#6295311yescharacteristic
1588C2#6300511yescharacteristic
1589C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59456C2semidirect
2. #59450C2semidirect
4. #59065C2semidirect
5. #59055C2semidirect
6. #51156C2semidirect
7. #49308C2semidirect
8. #46927C2semidirect
9. #45293C2semidirect
10. #45189C2semidirect
11. #45170C2semidirect
12. #44978C2semidirect
13. #43730C2semidirect
14. #42899C2semidirect
15. #42771C2semidirect
16. #40195C2semidirect
17. #39643C2semidirect
18. #39216C2semidirect
19. #39203C2semidirect
20. #39081C2semidirect
21. #38931C2semidirect
22. #38930C2semidirect
23. #38927C2semidirect
24. #36551C2semidirect
25. #36481C2semidirect
26. #36151C2semidirect
27. #36050C2semidirect
28. #35971C2semidirect
29. #35650C2semidirect
30. #35586C2semidirect
32. #34780C2semidirect
33. #34481C2semidirect
34. #34235C2semidirect
35. #34231C2semidirect

Maximal subgroups

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

subgroupindex
#594562
#594502
#593902
#590652
#590552
#511562
#493082
#469272
#452932
#451892
#451702
#449782
#437302
#428992
#427712
#401952
#396432
#392162
#392032
#390812
#389312
#389302
#389272
#365512
#364812
#361512
#360502
#359712
#356502
#355862
#348002
#347802
#344812
#342352
#342312