Finite Group Databasebeta

← #7709354

Subgroups — #7709354

Order 512.

4372 conjugacy classes of subgroups.

The subgroup lattice has 1609 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59298C212yesmaximal, complemented
2#59259C211yesmaximal, characteristic, complemented
3#59244C211yesmaximal, characteristic, complemented
4#59227C211yesmaximal, characteristic, complemented
5#59212C211yesmaximal, characteristic
6#59118C212yesmaximal, complemented
7#45711C212yesmaximal, complemented
8#45709C212yesmaximal, complemented
9#45543C214yesmaximal, complemented
10#39251C212yesmaximal, complemented
11#39231C214yesmaximal, complemented
12#39226C212yesmaximal, complemented
13#39225C212yesmaximal, complemented
14#39194C211yesmaximal, characteristic, complemented
15#39182C211yesmaximal, characteristic, complemented
16#39011C212yesmaximal, complemented
17#38978C211yesmaximal, characteristic, complemented
18#38966C211yesmaximal, characteristic, complemented
19#38279C212yesmaximal, complemented
20#38264C212yesmaximal, complemented
21#38151C214yesmaximal, complemented
22#37508C212yesmaximal, complemented
23#37070C214yesmaximal, complemented
24#36640C211yesmaximal, characteristic, complemented
25#36638C211yesmaximal, characteristic, complemented
26#36464C211yesmaximal, characteristic, complemented
27#36450C212yesmaximal, complemented
28#36447C211yesmaximal, characteristic, complemented
29#36407C211yesmaximal, characteristic, complemented
30#36391C212yesmaximal, complemented
31#36299C211yesmaximal, characteristic, complemented
32#35107C212yesmaximal, complemented
33#35045C212yesmaximal, complemented
34#34463C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#529C2211yescharacteristic
38#2866C2212yes—
39#2865C2212yes—
40#2864C2211yescharacteristic
41#2864C2212yes—
42#2864C2212yes—
43#2863C2211yescharacteristic
44#2863C2212yes—
45#2861C2211yescharacteristic
46#2860C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2212yes—
52#2857C2212yes—
53#2855C2211yescharacteristic
54#2854C2211yescharacteristic
55#2854C2212yes—
56#2853C2212yes—
57#2852C2212yes—
58#2851C2211yescharacteristic
59#2851C2212yes—
60#2851C2212yes—
61#2851C2212yes—
62#2851C2212yes—
63#2850C2211yescharacteristic
64#2827C2214yes—
65#2826C2214yes—
66#2805C2214yes—
67#2801C2214yes—
68#2800C2214yes—
69#2798C2214yes—
70#2796C2214yes—
71#2794C2214yes—
72#2793C2214yes—
73#2793C2214yes—
74#2790C2214yes—
75#2783C2214yes—
76#2781C2214yes—
77#2781C2214yes—
78#2778C2214yes—
79#2777C2214yes—
80#2776C2214yes—
81#2773C2214yes—
82#2772C2214yes—
83#2772C2214yes—
84#2772C2214yes—
85#2768C2214yes—
86#2768C2214yes—
87#2766C2214yes—
88#2765C2214yes—
89#2762C2214yes—
90#2761C2214yes—
91#2755C2214yes—
92#2754C2214yes—
93#2751C2214yes—
94#2743C2214yes—
95#2718C2214yes—
96#2715C2214yes—
97#2710C2214yes—
98#2654C2214yes—
99#2652C2214yes—
100#2651C2214yes—
101#2650C2214yes—
102#2647C2212yes—
103#2644C2212yes—
104#2633C2214yes—
105#2630C2214yes—
106#2629C2212yes—
107#2624C2212yes—
108#2609C2214yes—
109#2595C2214yes—
110#2590C2214yes—
111#2585C2214yes—
112#2582C2211yescharacteristic
113#2577C2214yes—
114#2577C2214yes—
115#2575C2214yes—
116#2574C2214yes—
117#2571C2212yes—
118#2571C2211yescharacteristic
119#2571C2212yes—
120#2571C2212yes—
121#2568C2212yes—
122#2566C2212yes—
123#2565C2212yes—
124#2562C2212yes—
125#2558C2214yes—
126#2558C2214yes—
127#2556C2214yes—
128#2553C2214yes—
129#2552C2211yescharacteristic
130#2552C2211yescharacteristic
131#2552C2212yes—
132#2552C2212yes—
133#2551C2211yescharacteristic
134#2550C2212yes—
135#2550C2212yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2537C2211yescharacteristic
139#2535C2212yes—
140#2533C2214yes—
141#2529C2214yes—
142#2529C2214yes—
143#2528C2214yes—
144#2528C2214yes—
145#2525C2214yes—
146#2519C2214yes—
147#2518C2214yes—
148#2517C2214yes—
149#2515C2214yes—
150#2515C2214yes—
151#2514C2214yes—
152#2513C2212yes—
153#2512C2212yes—
154#2512C2214yes—
155#2509C2212yes—
156#2509C2212yes—
157#2508C2214yes—
158#2508C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2212yes—
162#2507C2212yes—
163#2506C2212yes—
164#2506C2214yes—
165#2504C2212yes—
166#2500C2212yes—
167#2500C2212yes—
168#2499C2212yes—
169#2499C2214yes—
170#2497C2212yes—
171#2497C2212yes—
172#2496C2212yes—
173#2495C2212yes—
174#2495C2212yes—
175#2495C2212yes—
176#2494C2212yes—
177#2494C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2491C2212yes—
181#2490C2212yes—
182#2489C2212yes—
183#2489C2212yes—
184#2485C2212yes—
185#2485C2212yes—
186#2479C2214yes—
187#2477C2214yes—
188#2475C2214yes—
189#2470C2214yes—
190#2469C2214yes—
191#2469C2214yes—
192#2466C2214yes—
193#2461C2214yes—
194#2454C2212yes—
195#2454C2212yes—
196#2453C2212yes—
197#2452C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2442C2212yes—
201#2441C2212yes—
202#2441C2212yes—
203#2441C2212yes—
204#2441C2212yes—
205#2441C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2426C2212yes—
209#2426C2212yes—
210#2423C2212yes—
211#2422C2212yes—
212#2421C2212yes—
213#2421C2212yes—
214#2415C2212yes—
215#2414C2212yes—
216#2383C2214yes—
217#2379C2214yes—
218#2373C2214yes—
219#2370C2212yes—
220#2369C2212yes—
221#2365C2212yes—
222#2363C2212yes—
223#2363C2212yes—
224#2362C2214yes—
225#2362C2212yes—
226#2360C2212yes—
227#2355C2211yescharacteristic
228#2355C2214yes—
229#2355C2212yes—
230#2354C2211yescharacteristic
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2352C2212yes—
234#2351C2212yes—
235Q8×C4⋊C4C2211yescharacteristic
236Q8×C4⋊C4C2211yescharacteristic
237Q8×C4⋊C4C2211yescharacteristic
238Q8×C4⋊C4C2212yes—
239D4×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2346C2214yes—
242#2346C2212yes—
243#2346C2212yes—
244#2344C2212yes—
245#2337C2214yes—
246#2336C2214yes—
247#2335C2214yes—
248#2334C2214yes—
249#2334C2214yes—
250#2331C2212yes—
251#2323C2212yes—
252#2320C2214yes—
253#2320C2212yes—
254#2317C2212yes—
255C4×#125C2212yes—
256C4×#125C2211yescharacteristic
257C4×#125C2211yescharacteristic
258C4×#125C2212yes—
259C4×#125C2212yes—
260C4×#125C2212yes—
261C4×#125C2212yes—
262C4×#125C2211yescharacteristic
263C4×#126C2212yes—
264C4×#126C2212yes—
265C4×#126C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×#123C2212yes—
274C4×#123C2212yes—
275C4×#123C2212yes—
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2298C2212yes—
280#2298C2212yes—
281#2296C2212yes—
282#2296C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#556—216no—
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302#529—28no—
303C2×#126C2312yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2312yes—
307C2×#125C2311yescharacteristic
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2314yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2312yes—
352C2×#117C2314yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365C22×C42C2311yescharacteristic
366#401C2314yes—
367#401C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#395C2314yes—
433#395C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#393C2314yes—
444#393C2314yes—
445#392C2314yes—
446#391C2311yescharacteristic
447#391C2312yes—
448#391C2311yescharacteristic
449#391C2314yes—
450#391C2312yes—
451#391C2314yes—
452#391C2314yes—
453#391C2311yescharacteristic
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2314yes—
461#390C2311yescharacteristic
462#390C2312yes—
463#390C2314yes—
464#390C2311yescharacteristic
465#390C2314yes—
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2314yes—
472#390C2311yescharacteristic
473#390C2312yes—
474#390C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2312yes—
477#389C2311yescharacteristic
478#389C2312yes—
479#389C2311yescharacteristic
480#389C2312yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2311yescharacteristic
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2314yes—
491#389C2314yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2314yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2314yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2314yes—
687#383C2312yes—
688#383C2312yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#382C2314yes—
713#381C2312yes—
714#381C2314yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2312yes—
802#376C2312yes—
803C43C2311yescharacteristic
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2414yes—
815C22×D4C2411yescharacteristic
816C22×D4C2411yescharacteristic
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2414yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2411yescharacteristic
832C4⋊Q8—28no—
833C4⋊Q8—44no—
834#126—28no—
835#126—216no—
836#126—216no—
837#126—44no—
838#125—24no—
839#125—42no—
840#125—44no—
841#125—44no—
842#125—44no—
843#125—44no—
844#125—44no—
845#125—44no—
846#125—48no—
847#124—24no—
848#124—216no—
849#124—42no—
850#123—28no—
851#123—44no—
852#123—48no—
853C22⋊Q8—28no—
854C22⋊Q8—48no—
855C22⋊Q8—42no—
856C22⋊Q8—44no—
857C22⋊Q8#4118yes—
858#121—24no—
859#121—44no—
860#121—44no—
861#121—42no—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—216no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—42no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×D4—28no—
871C4×D4—24no—
872C4×D4—28no—
873C4×D4—24no—
874C4×D4—24no—
875C4×D4—42no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879#117—28no—
880#117—28no—
881#117—28no—
882#117—44no—
883#117—44no—
884#117—48no—
885#117—44no—
886#117—44no—
887#117—44no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C42—24no—
1006C2×C42—24no—
1007C2×C42—44no—
1008C2×C42—42no—
1009C2×C42—42no—
1010C2×C42—42no—
1011C2×C42—42no—
1012C2×C42—42no—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24C2512yes—
1141C24C2512yes—
1142C24C2511yescharacteristic
1143C2×Q8—28no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—44no—
1150C2×Q8—44no—
1151C2×Q8C2×#4114yes—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—42no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4C2×#4114yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—28no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4C2×#4114yes—
1307C4⋊C4C2×#4118yes—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4C2×#4118yes—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—28no—
1357C42—28no—
1358C42—24no—
1359C42—28no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—24no—
1380C42—42no—
1381C42—41no—
1382C42—42no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C42—41no—
1387C42—41no—
1388C42—41no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—42no—
1397C42—44no—
1398C42—44no—
1399C422−1+414yes—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23C22×#4112yes—
1421C23C2611yescharacteristic
1422Q8—28no—
1423Q8—44no—
1424Q8—88no—
1425D4—48no—
1426D4—44no—
1427D4—44no—
1428D4—84no—
1429D4—164no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—28no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—48no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—48no—
1522C2×C4—44no—
1523C2×C4—48no—
1524C2×C4—84no—
1525C2×C4—88no—
1526C2×C4C22×#4112yes—
1527C2×C4C22×#4114yes—
1528C2×C4C22×#4114yes—
1529C2×C4C22×#4112yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4#58512yes—
1534C2×C4#58512yes—
1535C2×C4#58512yes—
1536C2×C4#58512yes—
1537C2×C4#58512yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22C23×#4111yescharacteristic
1560C22C22×2−1+411yescharacteristic
1561C22C2×#58511yescharacteristic
1562C22C2×#58511yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C4—22no—
1567C4—24no—
1568C4—22no—
1569C4—24no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—41no—
1577C4—41no—
1578C4—44no—
1579C4—42no—
1580C4—42no—
1581C4—44no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—42no—
1588C4—44no—
1589C4—42no—
1590C4—41no—
1591C4—42no—
1592C4—44no—
1593C4—42no—
1594C4—42no—
1595C4—41no—
1596C4#351514yes—
1597C4#356514yes—
1598C2—42no—
1599C2—82no—
1600C2—82no—
1601C2C2×#356511yescharacteristic
1602C2#6276211yescharacteristic
1603C2C2×#351511yescharacteristic
1604C2#6279311yescharacteristic
1605C2#6281611yescharacteristic
1606C2#6282711yescharacteristic
1607C2#6283811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59212C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59298C2semidirect
2. #59259C2semidirect
3. #59244C2semidirect
4. #59227C2semidirect
6. #59118C2semidirect
7. #45711C2semidirect
8. #45709C2semidirect
9. #45543C2semidirect
10. #39251C2semidirect
11. #39231C2semidirect
12. #39226C2semidirect
13. #39225C2semidirect
14. #39194C2semidirect
15. #39182C2semidirect
16. #39011C2semidirect
17. #38978C2semidirect
18. #38966C2semidirect
19. #38279C2semidirect
20. #38264C2semidirect
21. #38151C2semidirect
22. #37508C2semidirect
23. #37070C2semidirect
24. #36640C2semidirect
25. #36638C2semidirect
26. #36464C2semidirect
27. #36450C2semidirect
28. #36447C2semidirect
29. #36407C2semidirect
30. #36391C2semidirect
31. #36299C2semidirect
32. #35107C2semidirect
33. #35045C2semidirect
34. #34463C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#592982
#592592
#592442
#592272
#592122
#591182
#457112
#457092
#455432
#392512
#392312
#392262
#392252
#391942
#391822
#390112
#389782
#389662
#382792
#382642
#381512
#375082
#370702
#366402
#366382
#364642
#364502
#364472
#364072
#363912
#362992
#351072
#350452
#344632
C4×#5292