Finite Group Databasebeta

← #8174409

Subgroups — #8174409

Order 512.

4265 conjugacy classes of subgroups.

The subgroup lattice has 1605 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59257C211yesmaximal, characteristic, complemented
2#59244C211yesmaximal, characteristic, complemented
3#59219C211yesmaximal, characteristic, complemented
4#59218C211yesmaximal, characteristic, complemented
5#58229C214yesmaximal, complemented
6#56779C214yesmaximal, complemented
7#56686C214yesmaximal, complemented
8#55145C214yesmaximal, complemented
9#53109C212yesmaximal, complemented
10#53058C212yesmaximal, complemented
11#53054C212yesmaximal, complemented
12#52983C212yesmaximal, complemented
13#45333C212yesmaximal, complemented
14#45177C212yesmaximal, complemented
15#42896C212yesmaximal, complemented
16#42878C212yesmaximal, complemented
17#42755C212yesmaximal, complemented
18#42614C212yesmaximal, complemented
19#42501C212yesmaximal, complemented
20#42452C212yesmaximal, complemented
21#39763C211yesmaximal, characteristic, complemented
22#39756C212yesmaximal, complemented
23#39683C212yesmaximal, complemented
24#39625C211yesmaximal, characteristic, complemented
25#39498C211yesmaximal, characteristic, complemented
26#39379C211yesmaximal, characteristic, complemented
27#39192C211yesmaximal, characteristic, complemented
28#38964C211yesmaximal, characteristic, complemented
29#37591C212yesmaximal
30#37328C212yesmaximal, complemented
31#36584C211yesmaximal, characteristic, complemented
32#36559C211yesmaximal, characteristic, complemented
33#35294C211yesmaximal, characteristic, complemented
34#34916C211yesmaximal, characteristic, complemented
35#34621C211yesmaximal, characteristic
36C2×#556C2212yes—
37C2×#554C2212yes—
38C2×#541C2212yes—
39#2868C2211yescharacteristic
40#2859C2212yes—
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2838C2214yes—
46#2838C2214yes—
47#2835C2214yes—
48#2832C2214yes—
49#2832C2214yes—
50#2831C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2827C2214yes—
55#2821C2214yes—
56#2820C2214yes—
57#2808C2214yes—
58#2808C2214yes—
59#2807C2214yes—
60#2805C2214yes—
61#2802C2214yes—
62#2800C2214yes—
63#2800C2214yes—
64#2798C2214yes—
65#2792C2214yes—
66#2791C2214yes—
67#2788C2214yes—
68#2783C2214yes—
69#2783C2214yes—
70#2783C2214yes—
71#2776C2214yes—
72#2775C2214yes—
73#2774C2214yes—
74#2772C2214yes—
75#2772C2214yes—
76#2771C2214yes—
77#2766C2214yes—
78#2765C2214yes—
79#2763C2214yes—
80#2755C2214yes—
81#2750C2214yes—
82#2744C2214yes—
83#2734C2214yes—
84#2727C2214yes—
85#2727C2214yes—
86#2727C2214yes—
87#2725C2214yes—
88#2725C2214yes—
89#2725C2214yes—
90#2725C2214yes—
91#2725C2214yes—
92#2725C2214yes—
93#2723C2214yes—
94#2720C2214yes—
95#2720C2214yes—
96#2719C2214yes—
97#2718C2214yes—
98#2716C2214yes—
99#2715C2214yes—
100#2698C2214yes—
101#2698C2214yes—
102#2689C2214yes—
103#2689C2214yes—
104#2674C2214yes—
105#2662C2214yes—
106#2660C2212yes—
107#2654C2214yes—
108#2652C2214yes—
109#2652C2214yes—
110#2651C2212yes—
111#2651C2212yes—
112#2651C2214yes—
113#2648C2212yes—
114#2648C2212yes—
115#2647C2211yescharacteristic
116#2644C2211yescharacteristic
117#2644C2211yescharacteristic
118#2641C2211yescharacteristic
119#2641C2212yes—
120#2638C2214yes—
121#2637C2214yes—
122#2630C2214yes—
123#2629C2212yes—
124#2629C2211yescharacteristic
125#2629C2212yes—
126#2628C2212yes—
127#2628C2212yes—
128#2628C2212yes—
129#2625C2212yes—
130#2624C2211yescharacteristic
131#2624C2211yescharacteristic
132#2619C2211yescharacteristic
133#2601C2214yes—
134#2590C2212yes—
135#2589C2212yes—
136#2588C2214yes—
137#2588C2212yes—
138#2587C2212yes—
139#2584C2212yes—
140#2584C2214yes—
141#2580C2212yes—
142#2580C2212yes—
143#2573C2214yes—
144#2571C2212yes—
145#2571C2211yescharacteristic
146#2571C2211yescharacteristic
147#2571C2212yes—
148#2570C2212yes—
149#2570C2212yes—
150#2567C2212yes—
151#2567C2212yes—
152#2566C2214yes—
153#2563C2212yes—
154#2552C2211yescharacteristic
155#2551C2212yes—
156#2551C2211yescharacteristic
157#2551C2212yes—
158#2550C2212yes—
159#2550C2212yes—
160#2550C2212yes—
161#2538C2212yes—
162#2538C2211yescharacteristic
163#2538C2211yescharacteristic
164#2538C2211yescharacteristic
165#2538C2211yescharacteristic
166#2538C2212yes—
167#2536C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2512C2212yes—
176#2511C2211yescharacteristic
177#2509C2212yes—
178#2509C2212yes—
179#2509C2212yes—
180#2509C2212yes—
181#2509C2212yes—
182#2509C2214yes—
183#2509C2214yes—
184#2508C2212yes—
185#2507C2212yes—
186#2507C2212yes—
187#2507C2212yes—
188#2507C2211yescharacteristic
189#2506C2212yes—
190#2506C2214yes—
191#2506C2212yes—
192#2503C2212yes—
193#2497C2211yescharacteristic
194#2497C2212yes—
195#2496C2212yes—
196#2496C2212yes—
197#2496C2212yes—
198#2495C2212yes—
199#2495C2212yes—
200#2494C2212yes—
201#2494C2212yes—
202#2492C2211yescharacteristic
203#2491C2212yes—
204#2490C2212yes—
205#2489C2214yes—
206#2486C2212yes—
207#2485C2212yes—
208#2485C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2470C2214yes—
212#2469C2214yes—
213#2468C2214yes—
214#2466C2214yes—
215#2466C2214yes—
216#2466C2214yes—
217#2466C2214yes—
218#2462C2214yes—
219#2461C2214yes—
220#2454C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2452C2214yes—
224#2452C2212yes—
225#2451C2212yes—
226#2451C2211yescharacteristic
227#2446C2211yescharacteristic
228#2442C2212yes—
229#2441C2212yes—
230#2441C2212yes—
231#2441C2212yes—
232#2440C2212yes—
233#2439C2212yes—
234#2439C2212yes—
235#2439C2212yes—
236#2439C2212yes—
237#2429C2214yes—
238#2429C2212yes—
239#2429C2211yescharacteristic
240#2423C2211yescharacteristic
241#2422C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2421C2212yes—
245#2420C2212yes—
246#2415C2212yes—
247#2415C2212yes—
248#2415C2212yes—
249#2402C2212yes—
250#2396C2212yes—
251#2395C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2370C2212yes—
256#2365C2212yes—
257#2362C2212yes—
258#2360C2212yes—
259#2357C2212yes—
260#2357C2212yes—
261#2355C2211yescharacteristic
262#2354C2211yescharacteristic
263#2354C2211yescharacteristic
264#2352C2212yes—
265#2351C2212yes—
266#2351C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269Q8×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2211yescharacteristic
273#2331C2212yes—
274#2330C2212yes—
275#2330C2212yes—
276#2330C2212yes—
277#2323C2212yes—
278#2317C2212yes—
279#2317C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2212yes—
284C4×#125C2212yes—
285C4×#125C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290#2298C2212yes—
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#556—48no—
300#554—48no—
301#541—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#124C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C42C2311yescharacteristic
368#401C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2312yes—
401#399C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#395C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#392C2312yes—
511#392C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2314yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2314yes—
526#391C2311yescharacteristic
527#390C2314yes—
528#390C2312yes—
529#390C2311yescharacteristic
530#390C2311yescharacteristic
531#390C2312yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2314yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2312yes—
724#383C2314yes—
725#382C2311yescharacteristic
726#382C2314yes—
727#382C2314yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2314yes—
739#382C2312yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2311yescharacteristic
808#376C2312yes—
809#376C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2414yes—
831C4⋊Q8—24no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—84no—
838C4⋊Q8—82no—
839#127—24no—
840#126—48no—
841#126—48no—
842#126—48no—
843#126—48no—
844#126—84no—
845#126—84no—
846#125—28no—
847#125—24no—
848#125—44no—
849#125—44no—
850#125—48no—
851#125—48no—
852#125—48no—
853#125—82no—
854#124—48no—
855#123—84no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—24no—
859C22⋊Q8—48no—
860C22⋊Q8—48no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—44no—
864C22⋊Q8—84no—
865#121—42no—
866#121—42no—
867C4×Q8—28no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—48no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—84no—
886#117—24no—
887#117—44no—
888#117—42no—
889#117—44no—
890#117—44no—
891#117—44no—
892#117—44no—
893#117—82no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C42—24no—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
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—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142C24C2511yescharacteristic
1143C24C2512yes—
1144C24C2512yes—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—44no—
1151C2×Q8—42no—
1152C2×Q8—44no—
1153C2×Q8—42no—
1154C2×Q8—44no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8H(5,𝔽2)14yes—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—24no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—22no—
1368C42—28no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—24no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—24no—
1382C42—41no—
1383C42—42no—
1384C42—41no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—42no—
1391C42—44no—
1392C42—44no—
1393C42—41no—
1394C42—44no—
1395C42—41no—
1396C422−1+414yes—
1397C422−1+414yes—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—22no—
1404C23—21no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—21no—
1419C23C2611yescharacteristic
1420Q8—28no—
1421Q8—44no—
1422Q8—88no—
1423Q8—84no—
1424Q8—164no—
1425D4—48no—
1426D4—48no—
1427D4—44no—
1428D4—44no—
1429D4—84no—
1430D4—84no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—48no—
1520C2×C4—48no—
1521C2×C4—44no—
1522C2×C4—164no—
1523C2×C4—164no—
1524C2×C4C2×H(5,𝔽2)14yes—
1525C2×C4C2×H(5,𝔽2)12yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4#58512yes—
1533C2×C4#58512yes—
1534C22—41no—
1535C22—42no—
1536C22—42no—
1537C22—41no—
1538C22—42no—
1539C22—42no—
1540C22—41no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—41no—
1546C22—42no—
1547C22—42no—
1548C22—41no—
1549C22—42no—
1550C22—42no—
1551C22—41no—
1552C22—41no—
1553C22—42no—
1554C22—42no—
1555C22C22×H(5,𝔽2)11yescharacteristic
1556C22C22×2−1+411yescharacteristic
1557C22C22×2−1+411yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C22H(7,𝔽2)11yescharacteristic
1561C222−1+611yescharacteristic
1562C4—24no—
1563C4—22no—
1564C4—22no—
1565C4—22no—
1566C4—41no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—42no—
1573C4—41no—
1574C4—42no—
1575C4—44no—
1576C4—41no—
1577C4—41no—
1578C4—42no—
1579C4—44no—
1580C4—44no—
1581C4—42no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—44no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—41no—
1592C4#355514yes—
1593C4#355914yes—
1594C2—81no—
1595C2—82no—
1596C2—82no—
1597C2C2×#355911yescharacteristic
1598C2C2×#355511yescharacteristic
1599C2#6287711yescharacteristic
1600C2#6291311yescharacteristic
1601C2#6292311yescharacteristic
1602C2#6292611yescharacteristic
1603C2#6293611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2619C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59257C2semidirect
2. #59244C2semidirect
3. #59219C2semidirect
4. #59218C2semidirect
5. #58229C2semidirect
6. #56779C2semidirect
7. #56686C2semidirect
8. #55145C2semidirect
9. #53109C2semidirect
10. #53058C2semidirect
11. #53054C2semidirect
12. #52983C2semidirect
13. #45333C2semidirect
14. #45177C2semidirect
15. #42896C2semidirect
16. #42878C2semidirect
17. #42755C2semidirect
18. #42614C2semidirect
19. #42501C2semidirect
20. #42452C2semidirect
21. #39763C2semidirect
22. #39756C2semidirect
23. #39683C2semidirect
24. #39625C2semidirect
25. #39498C2semidirect
26. #39379C2semidirect
27. #39192C2semidirect
28. #38964C2semidirect
30. #37328C2semidirect
31. #36584C2semidirect
32. #36559C2semidirect
33. #35294C2semidirect
34. #34916C2semidirect

Maximal subgroups

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

subgroupindex
#592572
#592442
#592192
#592182
#582292
#567792
#566862
#551452
#531092
#530582
#530542
#529832
#453332
#451772
#428962
#428782
#427552
#426142
#425012
#424522
#397632
#397562
#396832
#396252
#394982
#393792
#391922
#389642
#375912
#373282
#365842
#365592
#352942
#349162
#346212