Finite Group Databasebeta

← #7657556

Subgroups — #7657556

Order 512.

4775 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42903C212yesmaximal, complemented
2#42900C212yesmaximal, complemented
3#42745C212yesmaximal, complemented
4#42730C212yesmaximal, complemented
5#42253C214yesmaximal, complemented
6#42116C214yesmaximal, complemented
7#41195C214yesmaximal, complemented
8#41154C214yesmaximal, complemented
9#39270C212yesmaximal, complemented
10#39260C212yesmaximal, complemented
11#39180C211yesmaximal, characteristic, complemented
12#39174C211yesmaximal, characteristic, complemented
13#39138C211yesmaximal, characteristic
14#39127C211yesmaximal, characteristic, complemented
15#38290C212yesmaximal, complemented
16#38274C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37625C212yesmaximal, complemented
19#37625C211yesmaximal, characteristic, complemented
20#37573C212yesmaximal, complemented
21#36469C211yesmaximal, characteristic, complemented
22#36453C211yesmaximal, characteristic, complemented
23#36302C211yesmaximal, characteristic, complemented
24#36272C211yesmaximal, characteristic, complemented
25#35884C212yesmaximal, complemented
26#35853C212yesmaximal, complemented
27#35802C212yesmaximal, complemented
28#35778C212yesmaximal, complemented
29#35300C212yesmaximal, complemented
30#35288C211yesmaximal, characteristic, complemented
31#34621C212yesmaximal, complemented
32#34619C211yesmaximal, characteristic, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34313C211yesmaximal, characteristic, complemented
35#34151C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#557C2211yescharacteristic
38C2×#552C2212yes—
39C2×#550C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#520C2212yes—
42#2861C2212yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2855C2212yes—
49#2854C2212yes—
50#2838C2214yes—
51#2837C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2808C2214yes—
57#2803C2214yes—
58#2803C2214yes—
59#2797C2214yes—
60#2796C2214yes—
61#2787C2214yes—
62#2786C2214yes—
63#2781C2214yes—
64#2770C2214yes—
65#2765C2214yes—
66#2756C2214yes—
67#2755C2214yes—
68#2750C2214yes—
69#2749C2214yes—
70#2737C2214yes—
71#2726C2214yes—
72#2725C2214yes—
73#2714C2214yes—
74#2711C2214yes—
75#2711C2214yes—
76#2709C2214yes—
77#2707C2214yes—
78#2707C2214yes—
79#2673C2214yes—
80#2662C2214yes—
81#2654C2214yes—
82#2654C2212yes—
83#2653C2212yes—
84#2653C2214yes—
85#2651C2214yes—
86#2651C2214yes—
87#2651C2214yes—
88#2650C2212yes—
89#2649C2212yes—
90#2649C2214yes—
91#2648C2214yes—
92#2648C2214yes—
93#2647C2212yes—
94#2647C2211yescharacteristic
95#2645C2211yescharacteristic
96#2644C2214yes—
97#2644C2212yes—
98#2644C2211yescharacteristic
99#2644C2212yes—
100#2641C2212yes—
101#2641C2212yes—
102#2641C2214yes—
103#2640C2211yescharacteristic
104#2630C2214yes—
105#2630C2214yes—
106#2630C2214yes—
107#2629C2212yes—
108#2629C2212yes—
109#2628C2211yescharacteristic
110#2625C2211yescharacteristic
111#2625C2212yes—
112#2624C2211yescharacteristic
113#2624C2212yes—
114#2624C2212yes—
115#2624C2212yes—
116#2620C2211yescharacteristic
117#2620C2212yes—
118#2620C2212yes—
119#2619C2212yes—
120#2611C2214yes—
121#2610C2214yes—
122#2603C2214yes—
123#2602C2214yes—
124#2602C2214yes—
125#2595C2214yes—
126#2594C2214yes—
127#2592C2212yes—
128#2587C2214yes—
129#2584C2212yes—
130#2582C2212yes—
131#2579C2214yes—
132#2576C2214yes—
133#2576C2214yes—
134#2566C2212yes—
135#2562C2212yes—
136#2558C2214yes—
137#2558C2214yes—
138#2557C2214yes—
139#2553C2214yes—
140#2552C2212yes—
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2550C2212yes—
144#2548C2212yes—
145#2548C2211yescharacteristic
146#2547C2211yescharacteristic
147#2545C2212yes—
148#2544C2212yes—
149#2542C2211yescharacteristic
150#2541C2212yes—
151#2541C2212yes—
152#2541C2211yescharacteristic
153#2538C2212yes—
154#2538C2211yescharacteristic
155#2537C2211yescharacteristic
156#2535C2212yes—
157#2531C2214yes—
158#2531C2214yes—
159#2530C2214yes—
160#2529C2214yes—
161#2526C2214yes—
162#2513C2212yes—
163#2513C2212yes—
164#2506C2212yes—
165#2500C2212yes—
166#2497C2212yes—
167#2496C2212yes—
168#2494C2212yes—
169#2494C2212yes—
170#2491C2212yes—
171#2490C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2490C2212yes—
175#2489C2212yes—
176#2485C2214yes—
177#2481C2214yes—
178#2479C2214yes—
179#2476C2214yes—
180#2475C2214yes—
181#2475C2214yes—
182#2474C2214yes—
183#2473C2214yes—
184#2470C2214yes—
185#2460C2214yes—
186#2459C2214yes—
187#2455C2214yes—
188#2454C2214yes—
189#2454C2212yes—
190#2454C2212yes—
191#2453C2212yes—
192#2453C2212yes—
193#2448C2212yes—
194#2447C2212yes—
195#2445C2214yes—
196#2445C2214yes—
197#2445C2212yes—
198#2432C2212yes—
199#2432C2212yes—
200#2431C2212yes—
201#2429C2212yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2426C2212yes—
210#2426C2212yes—
211#2423C2212yes—
212#2422C2212yes—
213#2422C2212yes—
214#2422C2212yes—
215#2420C2212yes—
216#2420C2212yes—
217#2415C2212yes—
218#2413C2214yes—
219#2407C2212yes—
220#2401C2212yes—
221#2398C2212yes—
222#2396C2212yes—
223#2395C2214yes—
224#2395C2214yes—
225#2395C2212yes—
226#2392C2214yes—
227#2392C2214yes—
228#2374C2212yes—
229#2374C2212yes—
230#2373C2212yes—
231#2373C2212yes—
232#2371C2214yes—
233#2370C2212yes—
234#2370C2211yescharacteristic
235#2370C2211yescharacteristic
236#2367C2212yes—
237#2367C2211yescharacteristic
238#2367C2211yescharacteristic
239#2366C2212yes—
240#2366C2211yescharacteristic
241#2365C2211yescharacteristic
242#2365C2212yes—
243#2363C2211yescharacteristic
244#2363C2212yes—
245#2363C2211yescharacteristic
246#2362C2211yescharacteristic
247#2362C2211yescharacteristic
248#2361C2212yes—
249#2361C2214yes—
250#2361C2212yes—
251#2360C2212yes—
252#2356C2212yes—
253#2356C2212yes—
254#2355C2211yescharacteristic
255#2355C2211yescharacteristic
256#2354C2212yes—
257Q8×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260#2345C2212yes—
261#2341C2212yes—
262#2336C2214yes—
263#2330C2212yes—
264#2327C2212yes—
265#2326C2212yes—
266#2324C2214yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2323C2212yes—
271#2319C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2212yes—
275C4×#127C2211yescharacteristic
276C4×#125C2212yes—
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2298C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2290C2212yes—
293#2276C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#559—48no—
301#557—28no—
302#552—48no—
303#550—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2314yes—
311#529—28no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×#121C2314yes—
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351#520—48no—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2314yes—
385C2×#117C2314yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2314yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2314yes—
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394#401C2312yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#399C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#395C2312yes—
471#395C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#393C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#390C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2314yes—
532#390C2314yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2314yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#383C2314yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2314yes—
726#382C2312yes—
727#381C2314yes—
728#381C2314yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2314yes—
811#376C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2414yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2412yes—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—42no—
850#127—24no—
851#127—28no—
852#127—44no—
853#127—84no—
854#126—28no—
855#126—48no—
856#125—24no—
857#125—216no—
858#125—28no—
859#125—44no—
860#125—48no—
861#125—44no—
862#125—82no—
863#125—84no—
864#124—24no—
865#124—48no—
866#124—44no—
867#124—42no—
868#124—44no—
869#124—44no—
870#124—44no—
871#123—28no—
872#123—48no—
873#123—48no—
874#123—48no—
875#123—84no—
876C22⋊Q8—24no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—42no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882#121—24no—
883#121—28no—
884#121—216no—
885#121—44no—
886#121—44no—
887#121—44no—
888#121—42no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—82no—
893C4×Q8—28no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—44no—
899C4×Q8—42no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8#4118yes—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—48no—
918C4×D4—84no—
919C4×D4—84no—
920C4×D4—82no—
921#117—24no—
922#117—28no—
923#117—42no—
924#117—44no—
925#117—42no—
926#117—44no—
927#117—48no—
928#117—48no—
929#117—42no—
930#117—84no—
931C2×C4⋊C4—28no—
932C2×C4⋊C4—48no—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24C2512yes—
1171C24C2511yescharacteristic
1172C24C2514yes—
1173C24C2512yes—
1174#41—432no—
1175C2×Q8—22no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8C2×#4114yes—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—28no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—24no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2514yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—24no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—28no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4C2×#4114yes—
1355C4⋊C4C2×#4118yes—
1356C4⋊C4H(5,𝔽2)14yes—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—24no—
1367C22⋊C4—44no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—28no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—28no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—42no—
1440C42—42no—
1441C42—41no—
1442C42—41no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—42no—
1448C42—44no—
1449C42—42no—
1450C42—41no—
1451C42—42no—
1452C42—44no—
1453C42—41no—
1454C42—44no—
1455C42C2×#4114yes—
1456C42C2×#4118yes—
1457C23—22no—
1458C23—21no—
1459C23—24no—
1460C23—22no—
1461C23—21no—
1462C23—22no—
1463C23—24no—
1464C23—22no—
1465C23—21no—
1466C23—24no—
1467C23—22no—
1468C23—22no—
1469C23—24no—
1470C23—24no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—24no—
1478C23—22no—
1479C23—22no—
1480C23—21no—
1481C23—22no—
1482C23—21no—
1483C23—24no—
1484C23—22no—
1485C23C2611yescharacteristic
1486Q8—28no—
1487Q8—48no—
1488Q8—44no—
1489Q8—84no—
1490D4—416no—
1491D4—44no—
1492D4—48no—
1493D4—44no—
1494D4—48no—
1495D4—84no—
1496D4—84no—
1497D4—88no—
1498D4—84no—
1499D4—88no—
1500D4—88no—
1501D4—164no—
1502D4—164no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—416no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—82no—
1592C2×C4—88no—
1593C2×C4—84no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4—164no—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4114yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C2×H(5,𝔽2)14yes—
1603C2×C4C2×H(5,𝔽2)12yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C22—42no—
1608C22—41no—
1609C22—42no—
1610C22—44no—
1611C22—41no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—44no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—44no—
1621C22—41no—
1622C22—42no—
1623C22—44no—
1624C22—42no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—44no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—44no—
1635C22C23×#4111yescharacteristic
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22H(7,𝔽2)11yescharacteristic
1641C222−1+611yescharacteristic
1642C4—22no—
1643C4—24no—
1644C4—24no—
1645C4—24no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—44no—
1654C4—41no—
1655C4—42no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—44no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—42no—
1670C4—44no—
1671C4#346014yes—
1672C4#352414yes—
1673C2—81no—
1674C2—82no—
1675C2—82no—
1676C2—84no—
1677C2C2×#346011yescharacteristic
1678C2C2×#352411yescharacteristic
1679C2#6285711yescharacteristic
1680C2#6292011yescharacteristic
1681C2#6292211yescharacteristic
1682C2#6296711yescharacteristic
1683C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39138C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42903C2semidirect
2. #42900C2semidirect
3. #42745C2semidirect
4. #42730C2semidirect
5. #42253C2semidirect
6. #42116C2semidirect
7. #41195C2semidirect
8. #41154C2semidirect
9. #39270C2semidirect
10. #39260C2semidirect
11. #39180C2semidirect
12. #39174C2semidirect
14. #39127C2semidirect
15. #38290C2semidirect
16. #38274C2semidirect
17. #37627C2semidirect
18. #37625C2semidirect
19. #37625C2semidirect
20. #37573C2semidirect
21. #36469C2semidirect
22. #36453C2semidirect
23. #36302C2semidirect
24. #36272C2semidirect
25. #35884C2semidirect
26. #35853C2semidirect
27. #35802C2semidirect
28. #35778C2semidirect
29. #35300C2semidirect
30. #35288C2semidirect
31. #34621C2semidirect
32. #34619C2semidirect
33. #34328C2semidirect
34. #34313C2semidirect
35. #34151C2semidirect

Maximal subgroups

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

subgroupindex
#429032
#429002
#427452
#427302
#422532
#421162
#411952
#411542
#392702
#392602
#391802
#391742
#391382
#391272
#382902
#382742
#376272
#376252
#375732
#364692
#364532
#363022
#362722
#358842
#358532
#358022
#357782
#353002
#352882
#346212
#346192
#343282
#343132
#341512