Finite Group Databasebeta

← #8424478

Subgroups — #8424478

Order 512.

4797 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic
2#59641C211yesmaximal, characteristic, complemented
3#59640C211yesmaximal, characteristic, complemented
4#59411C212yesmaximal, complemented
5#59031C212yesmaximal, complemented
6#58587C214yesmaximal, complemented
7#54727C214yesmaximal, complemented
8#53127C212yesmaximal, complemented
9#53112C212yesmaximal, complemented
10#53016C212yesmaximal, complemented
11#52994C212yesmaximal, complemented
12#52503C214yesmaximal, complemented
13#42678C212yesmaximal, complemented
14#42537C212yesmaximal, complemented
15#42479C212yesmaximal, complemented
16#42423C212yesmaximal, complemented
17#40919C214yesmaximal, complemented
18#40077C212yesmaximal, complemented
19#39972C212yesmaximal, complemented
20#39370C211yesmaximal, characteristic, complemented
21#39180C211yesmaximal, characteristic, complemented
22#38977C211yesmaximal, characteristic, complemented
23#38975C211yesmaximal, characteristic, complemented
24#38969C212yesmaximal, complemented
25#37758C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37572C212yesmaximal, complemented
29#37502C212yesmaximal, complemented
30#36573C211yesmaximal, characteristic, complemented
31#36555C211yesmaximal, characteristic, complemented
32#36261C211yesmaximal, characteristic, complemented
33#34950C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#554C2212yes—
38C2×#550C2212yes—
39C2×#547C2212yes—
40C2×#544C2212yes—
41C2×#529C2212yes—
42#2864C2212yes—
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2859C2211yescharacteristic
46#2857C2212yes—
47#2841C2214yes—
48#2838C2214yes—
49#2837C2214yes—
50#2837C2214yes—
51#2836C2214yes—
52#2836C2214yes—
53#2832C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2827C2214yes—
57#2820C2214yes—
58#2816C2214yes—
59#2814C2214yes—
60#2814C2214yes—
61#2803C2214yes—
62#2790C2214yes—
63#2788C2214yes—
64#2787C2214yes—
65#2768C2214yes—
66#2765C2214yes—
67#2761C2214yes—
68#2755C2214yes—
69#2751C2214yes—
70#2751C2214yes—
71#2739C2214yes—
72#2729C2214yes—
73#2726C2214yes—
74#2725C2214yes—
75#2723C2214yes—
76#2717C2214yes—
77#2710C2214yes—
78#2707C2214yes—
79#2707C2214yes—
80#2704C2214yes—
81#2701C2214yes—
82#2701C2214yes—
83#2695C2214yes—
84#2694C2214yes—
85#2694C2214yes—
86#2690C2214yes—
87#2689C2214yes—
88#2687C2214yes—
89#2687C2214yes—
90#2682C2214yes—
91#2681C2214yes—
92#2681C2214yes—
93#2677C2214yes—
94#2674C2214yes—
95#2674C2214yes—
96#2672C2214yes—
97#2672C2214yes—
98#2667C2214yes—
99#2663C2214yes—
100#2653C2214yes—
101#2653C2214yes—
102#2649C2214yes—
103#2647C2212yes—
104#2645C2212yes—
105#2644C2212yes—
106#2644C2212yes—
107#2644C2212yes—
108#2644C2212yes—
109#2641C2212yes—
110#2640C2212yes—
111#2640C2212yes—
112#2638C2214yes—
113#2638C2214yes—
114#2630C2214yes—
115#2629C2212yes—
116#2624C2212yes—
117#2623C2214yes—
118#2620C2212yes—
119#2618C2214yes—
120#2616C2214yes—
121#2597C2212yes—
122#2595C2212yes—
123#2592C2212yes—
124#2592C2211yescharacteristic
125#2587C2214yes—
126#2586C2212yes—
127#2586C2212yes—
128#2584C2212yes—
129#2584C2212yes—
130#2583C2214yes—
131#2582C2212yes—
132#2582C2211yescharacteristic
133#2582C2211yescharacteristic
134#2580C2212yes—
135#2580C2212yes—
136#2580C2211yescharacteristic
137#2580C2212yes—
138#2580C2212yes—
139#2570C2211yescharacteristic
140#2567C2211yescharacteristic
141#2567C2211yescharacteristic
142#2554C2214yes—
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2551C2211yescharacteristic
147#2551C2211yescharacteristic
148#2550C2212yes—
149#2550C2212yes—
150#2549C2214yes—
151#2548C2211yescharacteristic
152#2548C2212yes—
153#2548C2211yescharacteristic
154#2546C2212yes—
155#2544C2211yescharacteristic
156#2544C2212yes—
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2538C2212yes—
160#2538C2212yes—
161#2538C2211yescharacteristic
162#2538C2211yescharacteristic
163#2537C2212yes—
164#2522C2214yes—
165#2516C2212yes—
166#2513C2211yescharacteristic
167#2512C2212yes—
168#2511C2211yescharacteristic
169#2508C2212yes—
170#2507C2212yes—
171#2507C2211yescharacteristic
172#2507C2211yescharacteristic
173#2507C2212yes—
174#2506C2212yes—
175#2506C2212yes—
176#2503C2212yes—
177#2501C2212yes—
178#2500C2212yes—
179#2497C2212yes—
180#2494C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2490C2212yes—
184#2489C2212yes—
185#2486C2212yes—
186#2486C2214yes—
187#2485C2212yes—
188#2477C2214yes—
189#2470C2214yes—
190#2460C2214yes—
191#2460C2214yes—
192#2459C2214yes—
193#2458C2212yes—
194#2455C2214yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2454C2212yes—
200#2454C2212yes—
201#2454C2212yes—
202#2454C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2452C2212yes—
208#2451C2211yescharacteristic
209#2451C2211yescharacteristic
210#2451C2212yes—
211#2448C2212yes—
212#2447C2212yes—
213#2447C2212yes—
214#2447C2212yes—
215#2447C2211yescharacteristic
216#2445C2212yes—
217#2445C2212yes—
218#2445C2212yes—
219#2445C2212yes—
220#2445C2211yescharacteristic
221#2445C2212yes—
222#2445C2212yes—
223#2442C2212yes—
224#2442C2212yes—
225#2440C2212yes—
226#2440C2212yes—
227#2439C2214yes—
228#2439C2212yes—
229#2438C2214yes—
230#2432C2214yes—
231#2427C2214yes—
232#2427C2212yes—
233#2426C2212yes—
234#2425C2214yes—
235#2425C2214yes—
236#2423C2212yes—
237#2422C2214yes—
238#2422C2212yes—
239#2422C2212yes—
240#2420C2212yes—
241#2419C2214yes—
242#2419C2214yes—
243#2417C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2415C2212yes—
247#2407C2214yes—
248#2406C2214yes—
249#2399C2212yes—
250#2399C2212yes—
251#2398C2212yes—
252#2395C2212yes—
253#2392C2214yes—
254#2363C2212yes—
255#2361C2212yes—
256#2360C2212yes—
257#2357C2212yes—
258#2355C2211yescharacteristic
259#2354C2211yescharacteristic
260Q8×C4⋊C4C2211yescharacteristic
261#2349C2212yes—
262#2349C2212yes—
263#2349C2212yes—
264#2349C2212yes—
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268#2345C2212yes—
269#2339C2214yes—
270#2330C2212yes—
271#2329C2214yes—
272#2319C2212yes—
273#2319C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2212yes—
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2212yes—
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2293C2212yes—
293#2293C2211yescharacteristic
294C2×#389C2212yes—
295#2290C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2314yes—
300#559—48no—
301#554—48no—
302#550—48no—
303#547—48no—
304#544—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×#127C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316#529—48no—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2314yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C42C2312yes—
396#401C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#398C2312yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#395C2312yes—
482#395C2314yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2312yes—
490#395C2312yes—
491#395C2312yes—
492#395C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2312yes—
517#394C2312yes—
518#394C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2312yes—
523#393C2314yes—
524#393C2314yes—
525#393C2312yes—
526#393C2314yes—
527#393C2314yes—
528#392C2314yes—
529#392C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2311yescharacteristic
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2312yes—
541#391C2314yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2314yes—
547#391C2314yes—
548#391C2311yescharacteristic
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2311yescharacteristic
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#389C2314yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2314yes—
640#389C2311yescharacteristic
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2312yes—
735#384C2312yes—
736#382C2314yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—48no—
817C2×#41—48no—
818C2×#41—48no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—48no—
854#127—24no—
855#127—28no—
856#127—24no—
857#127—44no—
858#126—48no—
859#125—28no—
860#125—44no—
861#125—44no—
862#125—44no—
863#125—48no—
864#125—84no—
865#125—82no—
866#124—24no—
867#124—24no—
868#124—44no—
869#124—44no—
870#124—48no—
871#124—84no—
872#123—48no—
873#123—48no—
874#123—48no—
875#123—44no—
876#123—48no—
877#123—48no—
878#123—84no—
879#123—84no—
880#123—84no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—48no—
890#121—28no—
891#121—48no—
892#121—48no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—48no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—48no—
926C4×D4—84no—
927C4×D4—82no—
928C4×D4—82no—
929#117—44no—
930#117—48no—
931#117—44no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—48no—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C42—44no—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2514yes—
1173C24C2512yes—
1174C24C2512yes—
1175#41—832no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—41no—
1187C2×Q8—41no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—44no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—28no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4H(5,𝔽2)14yes—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4H(5,𝔽2)14yes—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
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—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C42—22no—
1424C42—24no—
1425C42—24no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—42no—
1443C42—42no—
1444C42—44no—
1445C42—44no—
1446C42—41no—
1447C42—41no—
1448C42—42no—
1449C42—42no—
1450C42—41no—
1451C42—41no—
1452C42—44no—
1453C42—41no—
1454C42—42no—
1455C422−1+414yes—
1456C422−1+414yes—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—24no—
1464C23—22no—
1465C23—24no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—24no—
1470C23—24no—
1471C23—22no—
1472C23—24no—
1473C23—24no—
1474C23—22no—
1475C23—22no—
1476C23—24no—
1477C23C2×H(5,𝔽2)14yes—
1478C23C2611yescharacteristic
1479Q8—48no—
1480Q8—44no—
1481Q8—44no—
1482Q8—44no—
1483Q8—84no—
1484Q8—84no—
1485Q8—164no—
1486D4—28no—
1487D4—416no—
1488D4—48no—
1489D4—48no—
1490D4—48no—
1491D4—44no—
1492D4—48no—
1493D4—88no—
1494D4—84no—
1495D4—88no—
1496D4—164no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—84no—
1585C2×C4—88no—
1586C2×C4—88no—
1587C2×C4—88no—
1588C2×C4—84no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4—164no—
1592C2×C4C2×H(5,𝔽2)14yes—
1593C2×C4C2×H(5,𝔽2)12yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×2−1+412yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4C2×2−1+412yes—
1599C2×C4C2×2−1+412yes—
1600C2×C4C2×2−1+412yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—44no—
1612C22—44no—
1613C22—42no—
1614C22—42no—
1615C22—44no—
1616C22—42no—
1617C22—44no—
1618C22—44no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—44no—
1623C22—42no—
1624C22C22×H(5,𝔽2)11yescharacteristic
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C22×2−1+411yescharacteristic
1627C22C22×2−1+411yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22H(7,𝔽2)11yescharacteristic
1631C4—22no—
1632C4—24no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—41no—
1641C4—44no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—42no—
1651C4—44no—
1652C4—42no—
1653C4—44no—
1654C4—41no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4#354414yes—
1662C4#355414yes—
1663C2—44no—
1664C2—82no—
1665C2—84no—
1666C2C2×#355411yescharacteristic
1667C2C2×#354411yescharacteristic
1668C2#6276111yescharacteristic
1669C2#6291711yescharacteristic
1670C2#6292011yescharacteristic
1671C2#6292611yescharacteristic
1672C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59815C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59641C2semidirect
3. #59640C2semidirect
4. #59411C2semidirect
5. #59031C2semidirect
6. #58587C2semidirect
7. #54727C2semidirect
8. #53127C2semidirect
9. #53112C2semidirect
10. #53016C2semidirect
11. #52994C2semidirect
12. #52503C2semidirect
13. #42678C2semidirect
14. #42537C2semidirect
15. #42479C2semidirect
16. #42423C2semidirect
17. #40919C2semidirect
18. #40077C2semidirect
19. #39972C2semidirect
20. #39370C2semidirect
21. #39180C2semidirect
22. #38977C2semidirect
23. #38975C2semidirect
24. #38969C2semidirect
25. #37758C2semidirect
26. #37629C2semidirect
27. #37625C2semidirect
28. #37572C2semidirect
29. #37502C2semidirect
30. #36573C2semidirect
31. #36555C2semidirect
32. #36261C2semidirect
33. #34950C2semidirect
34. #34934C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598152
#596412
#596402
#594112
#590312
#585872
#547272
#531272
#531122
#530162
#529942
#525032
#426782
#425372
#424792
#424232
#409192
#400772
#399722
#393702
#391802
#389772
#389752
#389692
#377582
#376292
#376252
#375722
#375022
#365732
#365552
#362612
#349502
#349342
#349182