Finite Group Databasebeta

← #8461544

Subgroups — #8461544

Order 512.

4339 conjugacy classes of subgroups.

The subgroup lattice has 1609 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59667C211yesmaximal, characteristic, complemented
2#59314C211yesmaximal, characteristic, complemented
3#59235C211yesmaximal, characteristic, complemented
4#57315C214yesmaximal, complemented
5#56084C214yesmaximal, complemented
6#54671C214yesmaximal, complemented
7#53131C212yesmaximal, complemented
8#53030C212yesmaximal, complemented
9#48342C214yesmaximal, complemented
10#45700C212yesmaximal, complemented
11#45502C212yesmaximal, complemented
12#45143C212yesmaximal, complemented
13#44999C212yesmaximal, complemented
14#42814C212yesmaximal, complemented
15#42637C212yesmaximal, complemented
16#42546C212yesmaximal, complemented
17#42497C212yesmaximal, complemented
18#40144C212yesmaximal
19#39614C212yesmaximal, complemented
20#39181C211yesmaximal, characteristic, complemented
21#39149C211yesmaximal, characteristic, complemented
22#38943C211yesmaximal, characteristic, complemented
23#38930C211yesmaximal, characteristic, complemented
24#38930C212yesmaximal, complemented
25#38069C212yesmaximal, complemented
26#37623C211yesmaximal, characteristic, complemented
27#37385C212yesmaximal, complemented
28#37291C212yesmaximal, complemented
29#36561C211yesmaximal, characteristic, complemented
30#36290C211yesmaximal, characteristic, complemented
31#36189C211yesmaximal, characteristic, complemented
32#35239C211yesmaximal, characteristic, complemented
33#35176C211yesmaximal, characteristic, complemented
34#34943C211yesmaximal, characteristic
35#34780C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#554C2212yes—
38C2×#554C2212yes—
39#2859C2211yescharacteristic
40#2857C2212yes—
41#2857C2211yescharacteristic
42#2857C2212yes—
43#2857C2211yescharacteristic
44#2857C2212yes—
45#2855C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2843C2214yes—
49#2841C2214yes—
50#2841C2214yes—
51#2839C2214yes—
52#2839C2214yes—
53#2839C2214yes—
54#2839C2214yes—
55#2822C2214yes—
56#2776C2214yes—
57#2774C2214yes—
58#2774C2214yes—
59#2774C2214yes—
60#2769C2214yes—
61#2768C2214yes—
62#2767C2214yes—
63#2767C2214yes—
64#2766C2214yes—
65#2766C2214yes—
66#2762C2214yes—
67#2758C2214yes—
68#2758C2214yes—
69#2750C2214yes—
70#2747C2214yes—
71#2747C2214yes—
72#2746C2214yes—
73#2745C2214yes—
74#2744C2214yes—
75#2744C2214yes—
76#2744C2214yes—
77#2743C2214yes—
78#2743C2214yes—
79#2743C2214yes—
80#2743C2214yes—
81#2742C2214yes—
82#2739C2214yes—
83#2739C2214yes—
84#2739C2214yes—
85#2738C2214yes—
86#2738C2214yes—
87#2738C2214yes—
88#2729C2214yes—
89#2729C2214yes—
90#2729C2214yes—
91#2726C2214yes—
92#2720C2214yes—
93#2719C2214yes—
94#2719C2214yes—
95#2713C2214yes—
96#2713C2214yes—
97#2708C2214yes—
98#2704C2214yes—
99#2704C2214yes—
100#2690C2214yes—
101#2690C2214yes—
102#2683C2214yes—
103#2677C2214yes—
104#2677C2214yes—
105#2667C2214yes—
106#2666C2214yes—
107#2660C2212yes—
108#2660C2212yes—
109#2659C2214yes—
110#2652C2214yes—
111#2647C2212yes—
112#2647C2212yes—
113#2647C2212yes—
114#2647C2212yes—
115#2645C2212yes—
116#2642C2212yes—
117#2634C2214yes—
118#2633C2214yes—
119#2628C2214yes—
120#2627C2214yes—
121#2609C2214yes—
122#2581C2212yes—
123#2581C2212yes—
124#2572C2212yes—
125#2572C2212yes—
126#2571C2211yescharacteristic
127#2571C2212yes—
128#2571C2211yescharacteristic
129#2571C2211yescharacteristic
130#2570C2212yes—
131#2570C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2564C2214yes—
135#2563C2211yescharacteristic
136#2563C2211yescharacteristic
137#2562C2212yes—
138#2556C2214yes—
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2551C2212yes—
143#2551C2212yes—
144#2551C2211yescharacteristic
145#2551C2211yescharacteristic
146#2550C2212yes—
147#2546C2212yes—
148#2546C2211yescharacteristic
149#2542C2212yes—
150#2542C2211yescharacteristic
151#2538C2211yescharacteristic
152#2537C2211yescharacteristic
153#2536C2214yes—
154#2536C2212yes—
155#2524C2212yes—
156#2522C2214yes—
157#2515C2212yes—
158#2514C2211yescharacteristic
159#2511C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2508C2211yescharacteristic
166#2507C2212yes—
167#2507C2212yes—
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2506C2212yes—
173#2505C2214yes—
174#2503C2212yes—
175#2503C2214yes—
176#2503C2211yescharacteristic
177#2497C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2497C2212yes—
181#2497C2212yes—
182#2495C2212yes—
183#2495C2212yes—
184#2495C2211yescharacteristic
185#2495C2211yescharacteristic
186#2495C2211yescharacteristic
187#2494C2212yes—
188#2493C2214yes—
189#2493C2212yes—
190#2492C2212yes—
191#2489C2212yes—
192#2489C2212yes—
193#2489C2211yescharacteristic
194#2487C2212yes—
195#2487C2212yes—
196#2486C2211yescharacteristic
197#2484C2214yes—
198#2477C2214yes—
199#2473C2214yes—
200#2462C2214yes—
201#2460C2214yes—
202#2460C2214yes—
203#2454C2212yes—
204#2453C2212yes—
205#2452C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2449C2214yes—
209#2442C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2442C2211yescharacteristic
213#2442C2212yes—
214#2442C2212yes—
215#2442C2212yes—
216#2441C2212yes—
217#2440C2212yes—
218#2440C2212yes—
219#2440C2212yes—
220#2440C2212yes—
221#2440C2212yes—
222#2438C2214yes—
223#2438C2214yes—
224#2429C2212yes—
225#2429C2212yes—
226#2429C2212yes—
227#2423C2212yes—
228#2423C2212yes—
229#2423C2212yes—
230#2421C2212yes—
231#2421C2214yes—
232#2421C2214yes—
233#2421C2212yes—
234#2420C2211yescharacteristic
235#2420C2212yes—
236#2420C2212yes—
237#2420C2211yescharacteristic
238#2420C2212yes—
239#2419C2212yes—
240#2417C2212yes—
241#2417C2214yes—
242#2417C2212yes—
243#2417C2212yes—
244#2417C2212yes—
245#2417C2211yescharacteristic
246#2417C2214yes—
247#2402C2212yes—
248#2401C2212yes—
249#2398C2212yes—
250#2398C2212yes—
251#2376C2214yes—
252#2365C2212yes—
253#2365C2211yescharacteristic
254#2365C2211yescharacteristic
255#2361C2212yes—
256#2360C2212yes—
257#2360C2212yes—
258#2355C2211yescharacteristic
259#2354C2212yes—
260#2352C2212yes—
261Q8×C4⋊C4C2211yescharacteristic
262#2349C2212yes—
263D4×C4⋊C4C2211yescharacteristic
264D4×C4⋊C4C2212yes—
265D4×C4⋊C4C2211yescharacteristic
266#2345C2212yes—
267#2344C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2330C2212yes—
271#2330C2212yes—
272#2327C2212yes—
273#2325C2214yes—
274#2320C2212yes—
275#2319C2212yes—
276#2319C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287#2295C2211yescharacteristic
288C2×#389C2212yes—
289#2285C2211yescharacteristic
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2283C2212yes—
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—48no—
300#554—48no—
301#554—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#123C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2314yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×#117C2314yes—
358C2×#117C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2314yes—
366C22×C4⋊C4C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2312yes—
371#401C2314yes—
372#401C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#393C2312yes—
493#393C2312yes—
494#393C2312yes—
495#393C2312yes—
496#393C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2314yes—
577#389C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
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#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#383C2312yes—
684#383C2312yes—
685#383C2312yes—
686#383C2312yes—
687#383C2314yes—
688#383C2312yes—
689#383C2312yes—
690#383C2312yes—
691#382C2311yescharacteristic
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2311yescharacteristic
709#382C2311yescharacteristic
710#382C2312yes—
711#382C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#381C2314yes—
718#381C2312yes—
719#381C2314yes—
720#381C2312yes—
721#381C2312yes—
722#381C2314yes—
723#381C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—42no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—48no—
844C4⋊Q8—84no—
845#125—24no—
846#125—44no—
847#125—44no—
848#125—48no—
849#125—48no—
850#125—44no—
851#125—48no—
852#125—48no—
853#125—82no—
854#123—28no—
855C22⋊Q8—24no—
856C22⋊Q8—48no—
857C22⋊Q8—48no—
858C22⋊Q8—48no—
859C22⋊Q8—42no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—48no—
866C22⋊Q8—84no—
867C22⋊Q8—84no—
868C22⋊Q8—84no—
869#121—24no—
870#121—24no—
871#121—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—48no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—28no—
882C4×D4—24no—
883C4×D4—44no—
884C4×D4—42no—
885C4×D4—42no—
886C4×D4—42no—
887C4×D4—48no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—48no—
891#117—82no—
892#117—84no—
893C2×C4⋊C4—28no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—44no—
897C2×C4⋊C4—42no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4—84no—
900C2×C4⋊C4—82no—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C42—24no—
1020C2×C42—24no—
1021C2×C42—44no—
1022C2×C42—44no—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145C24C2511yescharacteristic
1146C24C2512yes—
1147C24C2511yescharacteristic
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—28no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—44no—
1161C2×Q8—44no—
1162C2×Q8—44no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D42−1+414yes—
1174C2×D42−1+414yes—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—28no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2514yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4H(5,𝔽2)14yes—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—44no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—41no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C42—28no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—22no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—44no—
1395C42—41no—
1396C422−1+414yes—
1397C23—21no—
1398C23—22no—
1399C23—21no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23C2×2−1+412yes—
1416C23C2×2−1+414yes—
1417C23C2×2−1+412yes—
1418C23C2611yescharacteristic
1419Q8—48no—
1420Q8—44no—
1421Q8—88no—
1422Q8—84no—
1423Q8—164no—
1424D4—28no—
1425D4—44no—
1426D4—48no—
1427D4—48no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—48no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—84no—
1523C2×C4—88no—
1524C2×C4—84no—
1525C2×C4—84no—
1526C2×C4—84no—
1527C2×C4—88no—
1528C2×C4—164no—
1529C2×C4C2×H(5,𝔽2)14yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4#58512yes—
1537C2×C4#58512yes—
1538C22—24no—
1539C22—22no—
1540C22—24no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—24no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—42no—
1551C22—41no—
1552C22—42no—
1553C22—42no—
1554C22—41no—
1555C22—41no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22C22×H(5,𝔽2)11yescharacteristic
1560C22C22×2−1+411yescharacteristic
1561C22C22×2−1+411yescharacteristic
1562C22C22×2−1+411yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22H(7,𝔽2)11yescharacteristic
1566C4—22no—
1567C4—24no—
1568C4—22no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—42no—
1574C4—44no—
1575C4—42no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—44no—
1584C4—42no—
1585C4—44no—
1586C4—41no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—44no—
1594C4—41no—
1595C4—42no—
1596C4#354714yes—
1597C4#356314yes—
1598C2—44no—
1599C2—42no—
1600C2—42no—
1601C2C2×#356311yescharacteristic
1602C2C2×#354711yescharacteristic
1603C2#6282311yescharacteristic
1604C2#6292011yescharacteristic
1605C2#6294511yescharacteristic
1606C2#6295111yescharacteristic
1607C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59667C2semidirect
2. #59314C2semidirect
3. #59235C2semidirect
4. #57315C2semidirect
5. #56084C2semidirect
6. #54671C2semidirect
7. #53131C2semidirect
8. #53030C2semidirect
9. #48342C2semidirect
10. #45700C2semidirect
11. #45502C2semidirect
12. #45143C2semidirect
13. #44999C2semidirect
14. #42814C2semidirect
15. #42637C2semidirect
16. #42546C2semidirect
17. #42497C2semidirect
19. #39614C2semidirect
20. #39181C2semidirect
21. #39149C2semidirect
22. #38943C2semidirect
23. #38930C2semidirect
24. #38930C2semidirect
25. #38069C2semidirect
26. #37623C2semidirect
27. #37385C2semidirect
28. #37291C2semidirect
29. #36561C2semidirect
30. #36290C2semidirect
31. #36189C2semidirect
32. #35239C2semidirect
33. #35176C2semidirect
35. #34780C2semidirect

Maximal subgroups

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

subgroupindex
#596672
#593142
#592352
#573152
#560842
#546712
#531312
#530302
#483422
#457002
#455022
#451432
#449992
#428142
#426372
#425462
#424972
#401442
#396142
#391812
#391492
#389432
#389302
#380692
#376232
#373852
#372912
#365612
#362902
#361892
#352392
#351762
#349432
#347802