Finite Group Databasebeta

← #8458908

Subgroups — #8458908

Order 512.

4251 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59832C211yesmaximal, characteristic, complemented
2#59322C211yesmaximal, characteristic, complemented
3#59248C211yesmaximal, characteristic, complemented
4#58910C214yesmaximal, complemented
5#58708C214yesmaximal, complemented
6#56461C214yesmaximal, complemented
7#53034C212yesmaximal, complemented
8#52987C212yesmaximal
9#51400C214yesmaximal
10#46001C212yesmaximal, complemented
11#45661C212yesmaximal, complemented
12#45341C212yesmaximal, complemented
13#44894C212yesmaximal, complemented
14#42695C212yesmaximal, complemented
15#42637C212yesmaximal
16#42610C212yesmaximal, complemented
17#42600C212yesmaximal, complemented
18#40051C212yesmaximal, complemented
19#39734C211yesmaximal, characteristic, complemented
20#39641C212yesmaximal, complemented
21#39597C212yesmaximal, complemented
22#39181C211yesmaximal, characteristic, complemented
23#39180C211yesmaximal, characteristic, complemented
24#38933C211yesmaximal, characteristic, complemented
25#37757C212yesmaximal
26#37630C211yesmaximal, characteristic, complemented
27#37359C212yesmaximal, complemented
28#37347C212yesmaximal
29#36450C211yesmaximal, characteristic, complemented
30#36189C211yesmaximal, characteristic
31#36133C211yesmaximal, characteristic, complemented
32#35275C211yesmaximal, characteristic, complemented
33#35239C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic
35#34772C211yesmaximal, characteristic
36C2×Q82C2212yes—
37C2×#544C2212yes—
38C2×#533C2212yes—
39#2868C2212yes—
40#2863C2212yes—
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2851C2212yes—
48#2843C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2834C2214yes—
52#2834C2214yes—
53#2833C2214yes—
54#2833C2214yes—
55#2833C2214yes—
56#2792C2214yes—
57#2791C2214yes—
58#2791C2214yes—
59#2791C2214yes—
60#2791C2214yes—
61#2791C2214yes—
62#2789C2214yes—
63#2789C2214yes—
64#2789C2214yes—
65#2789C2214yes—
66#2787C2214yes—
67#2776C2214yes—
68#2776C2214yes—
69#2776C2214yes—
70#2776C2214yes—
71#2774C2214yes—
72#2769C2214yes—
73#2766C2214yes—
74#2766C2214yes—
75#2766C2214yes—
76#2762C2214yes—
77#2762C2214yes—
78#2758C2214yes—
79#2755C2214yes—
80#2747C2214yes—
81#2746C2214yes—
82#2744C2214yes—
83#2738C2214yes—
84#2738C2214yes—
85#2734C2214yes—
86#2734C2214yes—
87#2729C2214yes—
88#2729C2214yes—
89#2728C2214yes—
90#2728C2214yes—
91#2726C2214yes—
92#2720C2214yes—
93#2719C2214yes—
94#2713C2214yes—
95#2713C2214yes—
96#2713C2214yes—
97#2713C2214yes—
98#2713C2214yes—
99#2690C2214yes—
100#2690C2214yes—
101#2689C2214yes—
102#2677C2214yes—
103#2677C2214yes—
104#2677C2214yes—
105#2666C2214yes—
106#2660C2214yes—
107#2655C2214yes—
108#2655C2214yes—
109#2652C2214yes—
110#2652C2214yes—
111#2647C2212yes—
112#2647C2212yes—
113#2647C2212yes—
114#2647C2212yes—
115#2645C2212yes—
116#2645C2212yes—
117#2642C2212yes—
118#2634C2214yes—
119#2628C2214yes—
120#2621C2212yes—
121#2599C2214yes—
122#2584C2212yes—
123#2583C2214yes—
124#2582C2212yes—
125#2582C2212yes—
126#2582C2211yescharacteristic
127#2581C2212yes—
128#2581C2214yes—
129#2577C2214yes—
130#2571C2211yescharacteristic
131#2570C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2570C2212yes—
135#2568C2211yescharacteristic
136#2567C2212yes—
137#2567C2212yes—
138#2565C2212yes—
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2552C2212yes—
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2551C2211yescharacteristic
145#2551C2212yes—
146#2551C2212yes—
147#2551C2211yescharacteristic
148#2551C2212yes—
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2212yes—
152#2546C2212yes—
153#2546C2214yes—
154#2546C2211yescharacteristic
155#2546C2214yes—
156#2546C2212yes—
157#2546C2212yes—
158#2533C2212yes—
159#2528C2214yes—
160#2527C2212yes—
161#2523C2214yes—
162#2523C2212yes—
163#2522C2212yes—
164#2520C2212yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2211yescharacteristic
168#2514C2212yes—
169#2514C2212yes—
170#2514C2212yes—
171#2511C2212yes—
172#2511C2212yes—
173#2511C2211yescharacteristic
174#2509C2212yes—
175#2509C2211yescharacteristic
176#2509C2212yes—
177#2507C2212yes—
178#2507C2212yes—
179#2507C2212yes—
180#2507C2212yes—
181#2507C2211yescharacteristic
182#2506C2212yes—
183#2506C2212yes—
184#2505C2212yes—
185#2502C2211yescharacteristic
186#2499C2212yes—
187#2499C2211yescharacteristic
188#2497C2212yes—
189#2497C2211yescharacteristic
190#2496C2211yescharacteristic
191#2495C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2494C2212yes—
197#2492C2211yescharacteristic
198#2492C2212yes—
199#2492C2212yes—
200#2492C2211yescharacteristic
201#2489C2212yes—
202#2489C2212yes—
203#2487C2212yes—
204#2487C2211yescharacteristic
205#2485C2211yescharacteristic
206#2477C2214yes—
207#2475C2214yes—
208#2466C2212yes—
209#2465C2214yes—
210#2462C2214yes—
211#2462C2214yes—
212#2453C2212yes—
213#2453C2212yes—
214#2451C2212yes—
215#2451C2212yes—
216#2451C2212yes—
217#2451C2212yes—
218#2451C2214yes—
219#2450C2212yes—
220#2446C2212yes—
221#2446C2212yes—
222#2446C2214yes—
223#2446C2214yes—
224#2446C2212yes—
225#2442C2212yes—
226#2442C2212yes—
227#2441C2212yes—
228#2440C2212yes—
229#2440C2212yes—
230#2440C2214yes—
231#2440C2212yes—
232#2440C2212yes—
233#2440C2212yes—
234#2440C2211yescharacteristic
235#2440C2212yes—
236#2439C2211yescharacteristic
237#2438C2214yes—
238#2438C2214yes—
239#2429C2214yes—
240#2423C2212yes—
241#2423C2212yes—
242#2423C2212yes—
243#2421C2214yes—
244#2417C2212yes—
245#2417C2211yescharacteristic
246#2415C2211yescharacteristic
247#2402C2212yes—
248#2401C2212yes—
249#2398C2212yes—
250#2396C2212yes—
251#2383C2214yes—
252#2365C2211yescharacteristic
253#2365C2212yes—
254#2365C2212yes—
255#2365C2211yescharacteristic
256#2365C2212yes—
257#2365C2212yes—
258#2362C2212yes—
259#2360C2212yes—
260#2360C2212yes—
261#2360C2212yes—
262#2355C2211yescharacteristic
263#2355C2211yescharacteristic
264#2355C2212yes—
265#2352C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268#2345C2212yes—
269#2344C2212yes—
270#2331C2212yes—
271#2331C2212yes—
272#2330C2212yes—
273#2330C2212yes—
274#2323C2212yes—
275#2323C2214yes—
276#2320C2212yes—
277#2317C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#125C2212yes—
282C4×#126C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299Q82—48no—
300#544—48no—
301#533—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×#126C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2314yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2314yes—
357C2×#117C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2312yes—
366#401C2314yes—
367#401C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
371#401C2314yes—
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#399C2312yes—
411#399C2314yes—
412#399C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#396C2312yes—
467#396C2312yes—
468#396C2312yes—
469#396C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#394C2312yes—
487#394C2312yes—
488#393C2314yes—
489#393C2312yes—
490#393C2312yes—
491#393C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2311yescharacteristic
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2314yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#384C2314yes—
709#384C2312yes—
710#384C2312yes—
711#384C2314yes—
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#383C2312yes—
715#383C2314yes—
716#383C2314yes—
717#383C2314yes—
718#383C2314yes—
719#383C2312yes—
720#382C2312yes—
721#382C2311yescharacteristic
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2314yes—
730#382C2314yes—
731#382C2314yes—
732#382C2312yes—
733#381C2314yes—
734#381C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C4⋊Q8—28no—
832C4⋊Q8—28no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—48no—
842C4⋊Q8—48no—
843C4⋊Q8—48no—
844C4⋊Q8—48no—
845C4⋊Q8—84no—
846C4⋊Q8—84no—
847#126—28no—
848#125—28no—
849#125—44no—
850#125—48no—
851#125—44no—
852#125—48no—
853#125—84no—
854#125—82no—
855C22⋊Q8—28no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—28no—
860C22⋊Q8—48no—
861C22⋊Q8—48no—
862C22⋊Q8—48no—
863C22⋊Q8—42no—
864C22⋊Q8—44no—
865C22⋊Q8—84no—
866C22⋊Q8—84no—
867C4×Q8—28no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—48no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—48no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—84no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—42no—
882#117—24no—
883#117—24no—
884#117—44no—
885#117—48no—
886#117—82no—
887C2×C4⋊C4—24no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—42no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4—82no—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C42—24no—
1007C2×C42—24no—
1008C2×C42—44no—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140C24C2511yescharacteristic
1141C24C2511yescharacteristic
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—28no—
1145C2×Q8—28no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—42no—
1162C2×Q8—44no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—44no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—41no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—24no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—42no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C42−1+414yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2514yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—41no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
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—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4H(5,𝔽2)14yes—
1319C4⋊C42−1+414yes—
1320C22⋊C4—24no—
1321C22⋊C4—22no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—24no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C42−1+414yes—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—42no—
1367C42—42no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—41no—
1376C42—42no—
1377C422−1+414yes—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23C2×2−1+412yes—
1391C23C2×2−1+412yes—
1392C23C2611yescharacteristic
1393Q8—48no—
1394Q8—48no—
1395Q8—44no—
1396Q8—44no—
1397Q8—88no—
1398Q8—88no—
1399Q8—84no—
1400Q8—164no—
1401D4—44no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—28no—
1415C2×C4—22no—
1416C2×C4—24no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—44no—
1491C2×C4—48no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—84no—
1497C2×C4—164no—
1498C2×C4C2×H(5,𝔽2)14yes—
1499C2×C4C2×H(5,𝔽2)12yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4C2×2−1+412yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4C2×2−1+414yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4C2×2−1+412yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4#58512yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22C22×H(5,𝔽2)11yescharacteristic
1525C22C22×2−1+411yescharacteristic
1526C22C22×2−1+411yescharacteristic
1527C22C22×2−1+411yescharacteristic
1528C22C22×2−1+411yescharacteristic
1529C22C2×#58511yescharacteristic
1530C22H(7,𝔽2)11yescharacteristic
1531C4—22no—
1532C4—24no—
1533C4—22no—
1534C4—24no—
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—44no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—42no—
1550C4—42no—
1551C4—44no—
1552C4—44no—
1553C4—42no—
1554C4—41no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4#355214yes—
1563C4#355514yes—
1564C2—42no—
1565C2—42no—
1566C2C2×#355211yescharacteristic
1567C2C2×#355511yescharacteristic
1568C2#6283711yescharacteristic
1569C2#6292011yescharacteristic
1570C2#6294311yescharacteristic
1571C2#6294511yescharacteristic
1572C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59832C2semidirect
2. #59322C2semidirect
3. #59248C2semidirect
4. #58910C2semidirect
5. #58708C2semidirect
6. #56461C2semidirect
7. #53034C2semidirect
10. #46001C2semidirect
11. #45661C2semidirect
12. #45341C2semidirect
13. #44894C2semidirect
14. #42695C2semidirect
16. #42610C2semidirect
17. #42600C2semidirect
18. #40051C2semidirect
19. #39734C2semidirect
20. #39641C2semidirect
21. #39597C2semidirect
22. #39181C2semidirect
23. #39180C2semidirect
24. #38933C2semidirect
26. #37630C2semidirect
27. #37359C2semidirect
29. #36450C2semidirect
31. #36133C2semidirect
32. #35275C2semidirect
33. #35239C2semidirect

Maximal subgroups

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

subgroupindex
#598322
#593222
#592482
#589102
#587082
#564612
#530342
#529872
#514002
#460012
#456612
#453412
#448942
#426952
#426372
#426102
#426002
#400512
#397342
#396412
#395972
#391812
#391802
#389332
#377572
#376302
#373592
#373472
#364502
#361892
#361332
#352752
#352392
#348032
#347722