Finite Group Databasebeta

← #8424412

Subgroups — #8424412

Order 512.

4239 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59670C212yesmaximal, complemented
2#59459C211yesmaximal, characteristic, complemented
3#59244C211yesmaximal, characteristic, complemented
4#59218C211yesmaximal, characteristic, complemented
5#59114C212yesmaximal, complemented
6#58435C214yesmaximal, complemented
7#57733C214yesmaximal, complemented
8#53109C212yesmaximal, complemented
9#53091C212yesmaximal, complemented
10#53054C212yesmaximal, complemented
11#52983C212yesmaximal, complemented
12#52446C214yesmaximal, complemented
13#42901C212yesmaximal, complemented
14#42878C212yesmaximal, complemented
15#42663C212yesmaximal, complemented
16#42469C212yesmaximal, complemented
17#41123C214yesmaximal, complemented
18#40195C212yesmaximal, complemented
19#40027C212yesmaximal, complemented
20#39509C212yesmaximal, complemented
21#39481C211yesmaximal, characteristic, complemented
22#39481C211yesmaximal, characteristic, complemented
23#39353C211yesmaximal, characteristic, complemented
24#39149C211yesmaximal, characteristic, complemented
25#37765C212yesmaximal, complemented
26#37642C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37573C212yesmaximal
29#37509C212yesmaximal, complemented
30#36584C211yesmaximal, characteristic, complemented
31#36416C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic, complemented
33#34941C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#541C2212yes—
38C2×#533C2212yes—
39#2859C2211yescharacteristic
40#2859C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2851C2212yes—
44#2844C2214yes—
45#2841C2214yes—
46#2838C2214yes—
47#2838C2214yes—
48#2838C2214yes—
49#2835C2214yes—
50#2833C2214yes—
51#2832C2214yes—
52#2832C2214yes—
53#2831C2214yes—
54#2829C2214yes—
55#2827C2214yes—
56#2821C2214yes—
57#2820C2214yes—
58#2810C2214yes—
59#2808C2214yes—
60#2805C2214yes—
61#2798C2214yes—
62#2794C2214yes—
63#2792C2214yes—
64#2789C2214yes—
65#2783C2214yes—
66#2783C2214yes—
67#2783C2214yes—
68#2776C2214yes—
69#2776C2214yes—
70#2775C2214yes—
71#2773C2214yes—
72#2773C2214yes—
73#2772C2214yes—
74#2771C2214yes—
75#2755C2214yes—
76#2741C2214yes—
77#2741C2214yes—
78#2739C2214yes—
79#2727C2214yes—
80#2727C2214yes—
81#2725C2214yes—
82#2725C2214yes—
83#2725C2214yes—
84#2723C2214yes—
85#2722C2214yes—
86#2721C2214yes—
87#2720C2214yes—
88#2719C2214yes—
89#2719C2214yes—
90#2718C2214yes—
91#2715C2214yes—
92#2713C2214yes—
93#2698C2214yes—
94#2674C2214yes—
95#2666C2214yes—
96#2666C2214yes—
97#2662C2214yes—
98#2660C2212yes—
99#2655C2214yes—
100#2654C2214yes—
101#2653C2214yes—
102#2652C2214yes—
103#2650C2214yes—
104#2649C2214yes—
105#2647C2212yes—
106#2645C2212yes—
107#2637C2214yes—
108#2629C2212yes—
109#2628C2212yes—
110#2628C2214yes—
111#2628C2212yes—
112#2628C2212yes—
113#2628C2212yes—
114#2628C2212yes—
115#2625C2212yes—
116#2624C2212yes—
117#2624C2212yes—
118#2601C2214yes—
119#2596C2214yes—
120#2596C2214yes—
121#2590C2214yes—
122#2589C2214yes—
123#2588C2214yes—
124#2587C2214yes—
125#2586C2214yes—
126#2585C2214yes—
127#2584C2214yes—
128#2584C2212yes—
129#2580C2212yes—
130#2578C2212yes—
131#2576C2212yes—
132#2574C2212yes—
133#2574C2212yes—
134#2571C2212yes—
135#2571C2211yescharacteristic
136#2571C2211yescharacteristic
137#2571C2212yes—
138#2571C2211yescharacteristic
139#2571C2212yes—
140#2571C2212yes—
141#2570C2211yescharacteristic
142#2570C2212yes—
143#2570C2212yes—
144#2567C2212yes—
145#2567C2212yes—
146#2567C2211yescharacteristic
147#2566C2212yes—
148#2566C2211yescharacteristic
149#2563C2211yescharacteristic
150#2562C2211yescharacteristic
151#2562C2212yes—
152#2556C2214yes—
153#2552C2211yescharacteristic
154#2552C2211yescharacteristic
155#2552C2212yes—
156#2552C2211yescharacteristic
157#2551C2212yes—
158#2551C2211yescharacteristic
159#2551C2212yes—
160#2551C2211yescharacteristic
161#2550C2212yes—
162#2550C2212yes—
163#2546C2211yescharacteristic
164#2542C2211yescharacteristic
165#2538C2211yescharacteristic
166#2538C2212yes—
167#2538C2211yescharacteristic
168#2536C2212yes—
169#2536C2212yes—
170#2535C2211yescharacteristic
171#2519C2214yes—
172#2515C2212yes—
173#2514C2212yes—
174#2513C2212yes—
175#2513C2212yes—
176#2512C2212yes—
177#2512C2212yes—
178#2509C2212yes—
179#2509C2212yes—
180#2509C2212yes—
181#2509C2214yes—
182#2509C2212yes—
183#2509C2214yes—
184#2508C2212yes—
185#2507C2212yes—
186#2507C2212yes—
187#2506C2212yes—
188#2506C2212yes—
189#2499C2212yes—
190#2499C2212yes—
191#2497C2211yescharacteristic
192#2497C2212yes—
193#2497C2212yes—
194#2497C2211yescharacteristic
195#2497C2211yescharacteristic
196#2496C2212yes—
197#2496C2212yes—
198#2496C2212yes—
199#2496C2212yes—
200#2495C2212yes—
201#2494C2211yescharacteristic
202#2494C2212yes—
203#2494C2212yes—
204#2494C2212yes—
205#2492C2212yes—
206#2491C2212yes—
207#2490C2212yes—
208#2485C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2479C2214yes—
212#2478C2214yes—
213#2475C2214yes—
214#2474C2214yes—
215#2469C2214yes—
216#2469C2214yes—
217#2469C2214yes—
218#2462C2214yes—
219#2462C2214yes—
220#2457C2212yes—
221#2454C2212yes—
222#2453C2212yes—
223#2452C2212yes—
224#2451C2212yes—
225#2451C2212yes—
226#2446C2212yes—
227#2441C2212yes—
228#2441C2212yes—
229#2439C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2429C2212yes—
233#2429C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2423C2211yescharacteristic
237#2423C2211yescharacteristic
238#2422C2211yescharacteristic
239#2421C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2420C2211yescharacteristic
243#2415C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2401C2212yes—
247#2396C2214yes—
248#2396C2212yes—
249#2396C2212yes—
250#2392C2212yes—
251#2370C2212yes—
252#2370C2212yes—
253#2370C2212yes—
254#2370C2212yes—
255#2365C2212yes—
256#2365C2214yes—
257#2365C2211yescharacteristic
258#2365C2211yescharacteristic
259#2362C2212yes—
260#2362C2212yes—
261#2355C2212yes—
262#2354C2211yescharacteristic
263#2354C2211yescharacteristic
264#2351C2212yes—
265#2351C2212yes—
266Q8×C4⋊C4C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269#2347C2212yes—
270#2334C2214yes—
271#2327C2212yes—
272#2314C2212yes—
273#2314C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×#125C2212yes—
278C4×#125C2212yes—
279C4×#125C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2296C2212yes—
287#2293C2212yes—
288#2293C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#556—48no—
300#541—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2314yes—
324C2×#123C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2314yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2314yes—
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2312yes—
365#401C2312yes—
366#401C2314yes—
367#401C2314yes—
368#400C2314yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2312yes—
405#399C2312yes—
406#399C2314yes—
407#398C2312yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2312yes—
470#395C2312yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#393C2312yes—
491#393C2312yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#392C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2314yes—
503#391C2311yescharacteristic
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2312yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2314yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2314yes—
703#383C2312yes—
704#382C2311yescharacteristic
705#382C2312yes—
706#382C2314yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#381C2312yes—
724#381C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×Q8C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—48no—
836C4⋊Q8—42no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839#126—48no—
840#126—48no—
841#126—48no—
842#126—48no—
843#126—48no—
844#125—28no—
845#125—24no—
846#125—44no—
847#125—44no—
848#125—48no—
849#125—44no—
850#125—48no—
851#125—48no—
852#124—48no—
853#123—44no—
854C22⋊Q8—28no—
855C22⋊Q8—24no—
856C22⋊Q8—24no—
857C22⋊Q8—48no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—42no—
863#121—42no—
864C4×Q8—24no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—48no—
869C4×Q8—48no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—42no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×D4—24no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—42no—
879C4×D4—44no—
880C4×D4—42no—
881C4×D4—44no—
882C4×D4—42no—
883#117—44no—
884#117—44no—
885#117—44no—
886#117—44no—
887#117—48no—
888#117—44no—
889#117—44no—
890#117—44no—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C42—24no—
1020C2×C42—24no—
1021C2×C42—44no—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2511yescharacteristic
1140C24C2511yescharacteristic
1141C24C2512yes—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8H(5,𝔽2)14yes—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C22×C4—24no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—41no—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—22no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C22⋊C4—28no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—24no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—41no—
1343C22⋊C4—42no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—28no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—28no—
1372C42—24no—
1373C42—22no—
1374C42—22no—
1375C42—42no—
1376C42—42no—
1377C42—41no—
1378C42—42no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—41no—
1384C42—42no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—42no—
1389C422−1+414yes—
1390C422−1+414yes—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—21no—
1396C23—21no—
1397C23—22no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—21no—
1412C23C2611yescharacteristic
1413Q8—28no—
1414Q8—48no—
1415Q8—88no—
1416Q8—88no—
1417Q8—84no—
1418D4—44no—
1419D4—44no—
1420D4—84no—
1421D4—84no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—44no—
1508C2×C4—48no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—48no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—82no—
1515C2×C4—84no—
1516C2×C4C2×H(5,𝔽2)14yes—
1517C2×C4C2×H(5,𝔽2)12yes—
1518C2×C4C2×2−1+412yes—
1519C2×C4C2×2−1+412yes—
1520C2×C4C2×2−1+412yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4#58512yes—
1525C2×C4#58512yes—
1526C2×C4#58512yes—
1527C22—41no—
1528C22—41no—
1529C22—42no—
1530C22—41no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—41no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22C22×H(5,𝔽2)11yescharacteristic
1549C22C22×2−1+411yescharacteristic
1550C22C22×2−1+411yescharacteristic
1551C22C2×#58511yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C222−1+611yescharacteristic
1555C4—24no—
1556C4—22no—
1557C4—22no—
1558C4—22no—
1559C4—22no—
1560C4—41no—
1561C4—42no—
1562C4—41no—
1563C4—44no—
1564C4—41no—
1565C4—41no—
1566C4—42no—
1567C4—44no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—44no—
1575C4—42no—
1576C4—44no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—41no—
1585C4#355514yes—
1586C4#355914yes—
1587C2—81no—
1588C2—81no—
1589C2—82no—
1590C2C2×#355911yescharacteristic
1591C2C2×#355511yescharacteristic
1592C2#6276111yescharacteristic
1593C2#6291311yescharacteristic
1594C2#6292811yescharacteristic
1595C2#6293611yescharacteristic
1596C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59670C2semidirect
2. #59459C2semidirect
3. #59244C2semidirect
4. #59218C2semidirect
5. #59114C2semidirect
6. #58435C2semidirect
7. #57733C2semidirect
8. #53109C2semidirect
9. #53091C2semidirect
10. #53054C2semidirect
11. #52983C2semidirect
12. #52446C2semidirect
13. #42901C2semidirect
14. #42878C2semidirect
15. #42663C2semidirect
16. #42469C2semidirect
17. #41123C2semidirect
18. #40195C2semidirect
19. #40027C2semidirect
20. #39509C2semidirect
21. #39481C2semidirect
22. #39481C2semidirect
23. #39353C2semidirect
24. #39149C2semidirect
25. #37765C2semidirect
26. #37642C2semidirect
27. #37624C2semidirect
29. #37509C2semidirect
30. #36584C2semidirect
31. #36416C2semidirect
32. #36210C2semidirect
33. #34941C2semidirect
34. #34929C2semidirect

Maximal subgroups

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

subgroupindex
#596702
#594592
#592442
#592182
#591142
#584352
#577332
#531092
#530912
#530542
#529832
#524462
#429012
#428782
#426632
#424692
#411232
#401952
#400272
#395092
#394812
#393532
#391492
#377652
#376422
#376242
#375732
#375092
#365842
#364162
#362102
#349412
#349292
#349172