Finite Group Databasebeta

← #8108050

Subgroups — #8108050

Order 512.

3925 conjugacy classes of subgroups.

The subgroup lattice has 1665 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53143C212yesmaximal, complemented
2#53142C212yesmaximal
3#53139C212yesmaximal
4#53033C212yesmaximal, complemented
5#53028C212yesmaximal
6#53026C212yesmaximal
7#45414C212yesmaximal, complemented
8#45411C212yesmaximal, complemented
9#45304C212yesmaximal
10#45218C212yesmaximal
11#45124C212yesmaximal
12#45123C212yesmaximal
13#42861C212yesmaximal
14#42856C212yesmaximal
15#42821C212yesmaximal, complemented
16#42819C212yesmaximal, complemented
17#42782C212yesmaximal, complemented
18#42779C212yesmaximal
19#42774C212yesmaximal, complemented
20#42770C212yesmaximal
21#42765C212yesmaximal, complemented
22#42744C212yesmaximal, complemented
23#42689C212yesmaximal, complemented
24#42689C212yesmaximal, complemented
25#36608C211yesmaximal, characteristic, complemented
26#36608C211yesmaximal, characteristic, complemented
27#36598C211yesmaximal, characteristic, complemented
28#36598C211yesmaximal, characteristic, complemented
29#36574C211yesmaximal, characteristic, complemented
30#36574C211yesmaximal, characteristic, complemented
31#36563C211yesmaximal, characteristic, complemented
32#36563C211yesmaximal, characteristic, complemented
33#35291C211yesmaximal, characteristic
34#35291C211yesmaximal, characteristic
35#35291C211yesmaximal, characteristic
36#35291C211yesmaximal, characteristic
37#35284C211yesmaximal, characteristic
38#35283C211yesmaximal, characteristic
39#34552C211yesmaximal, characteristic
40#2868C2211yescharacteristic
41#2868C2211yescharacteristic
42#2862C2211yescharacteristic
43#2862C2211yescharacteristic
44#2862C2211yescharacteristic
45#2862C2211yescharacteristic
46#2862C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2211yescharacteristic
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2844C2214yes—
57#2843C2214yes—
58#2839C2214yes—
59#2839C2214yes—
60#2838C2214yes—
61#2838C2214yes—
62#2836C2214yes—
63#2833C2214yes—
64#2833C2214yes—
65#2833C2214yes—
66#2833C2214yes—
67#2831C2214yes—
68#2805C2214yes—
69#2802C2214yes—
70#2794C2214yes—
71#2793C2214yes—
72#2793C2214yes—
73#2792C2214yes—
74#2791C2214yes—
75#2789C2214yes—
76#2777C2214yes—
77#2777C2214yes—
78#2776C2214yes—
79#2776C2214yes—
80#2775C2214yes—
81#2775C2214yes—
82#2774C2214yes—
83#2774C2214yes—
84#2773C2214yes—
85#2769C2214yes—
86#2769C2214yes—
87#2769C2214yes—
88#2766C2214yes—
89#2766C2214yes—
90#2766C2214yes—
91#2766C2214yes—
92#2762C2214yes—
93#2762C2214yes—
94#2762C2214yes—
95#2762C2214yes—
96#2759C2214yes—
97#2758C2214yes—
98#2758C2214yes—
99#2755C2214yes—
100#2666C2214yes—
101#2666C2214yes—
102#2666C2214yes—
103#2655C2214yes—
104#2655C2214yes—
105#2655C2214yes—
106#2647C2214yes—
107#2647C2212yes—
108#2647C2212yes—
109#2645C2212yes—
110#2645C2212yes—
111#2645C2214yes—
112#2645C2212yes—
113#2645C2212yes—
114#2629C2212yes—
115#2628C2212yes—
116#2625C2212yes—
117#2625C2212yes—
118#2625C2212yes—
119#2625C2212yes—
120#2606C2214yes—
121#2596C2214yes—
122#2594C2214yes—
123#2584C2212yes—
124#2584C2212yes—
125#2584C2212yes—
126#2584C2212yes—
127#2582C2212yes—
128#2582C2212yes—
129#2582C2212yes—
130#2582C2212yes—
131#2581C2212yes—
132#2581C2212yes—
133#2581C2212yes—
134#2581C2212yes—
135#2581C2212yes—
136#2581C2212yes—
137#2581C2212yes—
138#2581C2212yes—
139#2571C2212yes—
140#2571C2212yes—
141#2570C2212yes—
142#2570C2212yes—
143#2570C2212yes—
144#2570C2212yes—
145#2570C2214yes—
146#2568C2212yes—
147#2568C2212yes—
148#2567C2212yes—
149#2567C2212yes—
150#2552C2212yes—
151#2552C2212yes—
152#2550C2212yes—
153#2550C2212yes—
154#2550C2212yes—
155#2550C2212yes—
156#2533C2214yes—
157#2533C2214yes—
158#2532C2214yes—
159#2529C2214yes—
160#2528C2214yes—
161#2524C2214yes—
162#2524C2214yes—
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2514C2212yes—
170#2514C2212yes—
171#2514C2212yes—
172#2514C2212yes—
173#2514C2212yes—
174#2514C2212yes—
175#2514C2214yes—
176#2514C2212yes—
177#2514C2212yes—
178#2514C2212yes—
179#2514C2212yes—
180#2511C2212yes—
181#2511C2212yes—
182#2511C2212yes—
183#2511C2212yes—
184#2511C2212yes—
185#2511C2212yes—
186#2509C2212yes—
187#2509C2212yes—
188#2509C2212yes—
189#2509C2212yes—
190#2509C2212yes—
191#2509C2212yes—
192#2509C2212yes—
193#2509C2212yes—
194#2508C2212yes—
195#2508C2212yes—
196#2508C2212yes—
197#2508C2212yes—
198#2508C2212yes—
199#2508C2212yes—
200#2508C2212yes—
201#2508C2212yes—
202#2507C2212yes—
203#2507C2212yes—
204#2507C2212yes—
205#2507C2212yes—
206#2507C2212yes—
207#2507C2212yes—
208#2497C2212yes—
209#2497C2212yes—
210#2495C2212yes—
211#2495C2212yes—
212#2495C2212yes—
213#2495C2212yes—
214#2494C2212yes—
215#2494C2212yes—
216#2494C2212yes—
217#2494C2212yes—
218#2492C2212yes—
219#2492C2212yes—
220#2489C2212yes—
221#2489C2212yes—
222#2489C2212yes—
223#2489C2212yes—
224#2453C2212yes—
225#2453C2212yes—
226#2453C2212yes—
227#2453C2212yes—
228#2453C2212yes—
229#2453C2212yes—
230#2453C2212yes—
231#2453C2212yes—
232#2451C2212yes—
233#2451C2212yes—
234#2451C2212yes—
235#2451C2212yes—
236#2451C2212yes—
237#2451C2212yes—
238#2446C2212yes—
239#2446C2212yes—
240#2446C2212yes—
241#2446C2212yes—
242#2446C2212yes—
243#2446C2212yes—
244#2429C2212yes—
245#2429C2212yes—
246#2423C2212yes—
247#2423C2212yes—
248#2421C2212yes—
249#2421C2212yes—
250#2421C2212yes—
251#2421C2212yes—
252#2402C2211yescharacteristic
253#2402C2211yescharacteristic
254#2402C2211yescharacteristic
255#2402C2211yescharacteristic
256#2402C2211yescharacteristic
257#2402C2211yescharacteristic
258#2399C2211yescharacteristic
259#2399C2211yescharacteristic
260#2399C2211yescharacteristic
261#2399C2211yescharacteristic
262#2399C2211yescharacteristic
263#2399C2211yescharacteristic
264#2396C2211yescharacteristic
265#2396C2211yescharacteristic
266#2396C2211yescharacteristic
267#2396C2211yescharacteristic
268#2396C2211yescharacteristic
269#2396C2211yescharacteristic
270#2396C2211yescharacteristic
271#2396C2211yescharacteristic
272#2396C2211yescharacteristic
273#2396C2211yescharacteristic
274#2396C2211yescharacteristic
275#2396C2211yescharacteristic
276#2370C2212yes—
277#2370C2212yes—
278#2370C2212yes—
279#2370C2212yes—
280#2369C2212yes—
281#2369C2212yes—
282#2365C2212yes—
283#2365C2212yes—
284#2356C2212yes—
285#2356C2212yes—
286#2356C2212yes—
287#2356C2212yes—
288#2356C2212yes—
289#2356C2212yes—
290#2355C2212yes—
291#2355C2212yes—
292#2355C2212yes—
293#2355C2212yes—
294#2355C2212yes—
295#2355C2212yes—
296#2351C2212yes—
297#2351C2212yes—
298Q8×C4⋊C4C2212yes—
299Q8×C4⋊C4C2212yes—
300#2331C2212yes—
301#2330C2212yes—
302#2323C2212yes—
303#2323C2212yes—
304#2323C2212yes—
305#2323C2212yes—
306#2320C2212yes—
307#2320C2212yes—
308#2320C2212yes—
309#2320C2212yes—
310#2314C2212yes—
311#2314C2212yes—
312C4×C4⋊Q8C2211yescharacteristic
313C4×C4⋊Q8C2211yescharacteristic
314C4×C4⋊Q8C2211yescharacteristic
315C4×C4⋊Q8C2211yescharacteristic
316C4×C4⋊Q8C2211yescharacteristic
317C4×C4⋊Q8C2211yescharacteristic
318C4×C4⋊Q8C2211yescharacteristic
319C4×C4⋊Q8C2211yescharacteristic
320C4×C4⋊Q8C2211yescharacteristic
321C4×C4⋊Q8C2211yescharacteristic
322C4×C4⋊Q8C2211yescharacteristic
323C4×C4⋊Q8C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×Q8C2211yescharacteristic
326C42×Q8C2211yescharacteristic
327C42×Q8C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×#125C2312yes—
341C2×#125C2312yes—
342C2×#125C2312yes—
343C2×#125C2312yes—
344C2×#125C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C22×C42C2311yescharacteristic
380#401C2314yes—
381#401C2314yes—
382#401C2314yes—
383#401C2314yes—
384#401C2314yes—
385#401C2314yes—
386#401C2314yes—
387#401C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2311yescharacteristic
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2311yescharacteristic
431#400C2311yescharacteristic
432#400C2311yescharacteristic
433#400C2311yescharacteristic
434#400C2311yescharacteristic
435#400C2311yescharacteristic
436#400C2311yescharacteristic
437#400C2311yescharacteristic
438#400C2311yescharacteristic
439#400C2311yescharacteristic
440#400C2311yescharacteristic
441#399C2314yes—
442#399C2311yescharacteristic
443#399C2311yescharacteristic
444#399C2311yescharacteristic
445#399C2311yescharacteristic
446#398C2311yescharacteristic
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2311yescharacteristic
455#398C2311yescharacteristic
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2311yescharacteristic
467#398C2311yescharacteristic
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2311yescharacteristic
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2311yescharacteristic
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2311yescharacteristic
480#398C2311yescharacteristic
481#398C2311yescharacteristic
482#398C2311yescharacteristic
483#398C2311yescharacteristic
484#398C2311yescharacteristic
485#398C2311yescharacteristic
486#398C2311yescharacteristic
487#398C2311yescharacteristic
488#398C2311yescharacteristic
489#398C2311yescharacteristic
490#398C2311yescharacteristic
491#398C2311yescharacteristic
492#398C2311yescharacteristic
493#398C2311yescharacteristic
494#398C2311yescharacteristic
495#398C2311yescharacteristic
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#396C2311yescharacteristic
505#396C2314yes—
506#396C2311yescharacteristic
507#396C2314yes—
508#396C2311yescharacteristic
509#396C2311yescharacteristic
510#396C2311yescharacteristic
511#396C2311yescharacteristic
512#396C2311yescharacteristic
513#396C2311yescharacteristic
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2311yescharacteristic
519#395C2311yescharacteristic
520#395C2314yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2311yescharacteristic
526#395C2311yescharacteristic
527#395C2311yescharacteristic
528#395C2311yescharacteristic
529#395C2311yescharacteristic
530#395C2311yescharacteristic
531#395C2311yescharacteristic
532#395C2311yescharacteristic
533#395C2311yescharacteristic
534#395C2311yescharacteristic
535#393C2314yes—
536#393C2311yescharacteristic
537#393C2311yescharacteristic
538#393C2311yescharacteristic
539#393C2311yescharacteristic
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2312yes—
559#391C2312yes—
560#391C2314yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2314yes—
570#391C2314yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2314yes—
584#391C2314yes—
585#391C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2314yes—
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2314yes—
654#389C2314yes—
655#389C2312yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2314yes—
733#384C2314yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#383C2314yes—
742#383C2314yes—
743#383C2314yes—
744#383C2314yes—
745#383C2314yes—
746#383C2314yes—
747#383C2314yes—
748#383C2314yes—
749#383C2314yes—
750#383C2314yes—
751#382C2314yes—
752#382C2314yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2312yes—
759#382C2314yes—
760#382C2314yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2314yes—
765#382C2314yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2314yes—
770#382C2312yes—
771#382C2312yes—
772#382C2312yes—
773#382C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊C4C2311yescharacteristic
847C4×C4⋊C4C2311yescharacteristic
848C4×C4⋊C4C2311yescharacteristic
849C4×C4⋊C4C2311yescharacteristic
850C4×C4⋊C4C2311yescharacteristic
851C4×C4⋊C4C2311yescharacteristic
852C4×C4⋊C4C2311yescharacteristic
853C4×C4⋊C4C2311yescharacteristic
854C4×C4⋊C4C2311yescharacteristic
855C4×C4⋊C4C2311yescharacteristic
856C4×C4⋊C4C2311yescharacteristic
857C4×C4⋊C4C2311yescharacteristic
858C4×C4⋊C4C2311yescharacteristic
859C4×C4⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872#376C2311yescharacteristic
873#376C2311yescharacteristic
874#376C2311yescharacteristic
875#376C2311yescharacteristic
876#376C2311yescharacteristic
877#376C2314yes—
878#376C2314yes—
879#376C2311yescharacteristic
880C43C2311yescharacteristic
881C43C2311yescharacteristic
882C43C2311yescharacteristic
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C22×Q8C2412yes—
887C22×Q8C2412yes—
888C22×Q8C2412yes—
889C22×Q8C2412yes—
890C22×Q8C2411yescharacteristic
891C22×Q8C2411yescharacteristic
892C22×Q8C2411yescharacteristic
893C22×Q8C2411yescharacteristic
894C22×Q8C2414yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2411yescharacteristic
898C4⋊Q8—24no—
899C4⋊Q8—24no—
900C4⋊Q8—24no—
901C4⋊Q8—24no—
902C4⋊Q8—44no—
903C4⋊Q8—44no—
904C4⋊Q8—44no—
905C4⋊Q8—44no—
906C4⋊Q8—44no—
907#125—44no—
908#125—44no—
909#125—44no—
910#125—44no—
911#125—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C4×Q8—28no—
917C4×Q8—28no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—42no—
923C4×Q8—42no—
924C4×Q8—42no—
925C4×Q8—42no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—44no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940#117—24no—
941#117—24no—
942#117—42no—
943#117—42no—
944#117—42no—
945#117—42no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C42—24no—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226C24C2511yescharacteristic
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—24no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—41no—
1244C2×Q8—41no—
1245C2×Q8—41no—
1246C2×Q8—41no—
1247C2×Q8—41no—
1248C2×Q8—41no—
1249C2×Q8—41no—
1250C2×Q8—41no—
1251C2×Q8—44no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4C2511yescharacteristic
1264C22×C4C2514yes—
1265C22×C4C2514yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2511yescharacteristic
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2514yes—
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2514yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—28no—
1426C42—28no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C422−1+414yes—
1468C422−1+414yes—
1469C422−1+414yes—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23C2611yescharacteristic
1478Q8—44no—
1479Q8—44no—
1480Q8—44no—
1481Q8—44no—
1482Q8—48no—
1483Q8—48no—
1484Q8—48no—
1485Q8—48no—
1486Q8—164no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—24no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—24no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4C2×2−1+412yes—
1592C2×C4C2×2−1+412yes—
1593C2×C4C2×2−1+412yes—
1594C2×C4C2×2−1+412yes—
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×C4#58512yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C2×C4#58512yes—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22C22×2−1+411yescharacteristic
1612C22C22×2−1+411yescharacteristic
1613C22C22×2−1+411yescharacteristic
1614C22C2×#58511yescharacteristic
1615C22C2×#58511yescharacteristic
1616C22C2×#58511yescharacteristic
1617C22C2×#58511yescharacteristic
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—41no—
1623C4—44no—
1624C4—44no—
1625C4—41no—
1626C4—41no—
1627C4—44no—
1628C4—44no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—44no—
1640C4—44no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—44no—
1651C4—44no—
1652C4—41no—
1653C4#355514yes—
1654C4#355514yes—
1655C4#355714yes—
1656C2—81no—
1657C2C2×#355711yescharacteristic
1658C2C2×#355511yescharacteristic
1659C2C2×#355511yescharacteristic
1660C2#6283711yescharacteristic
1661C2#6283811yescharacteristic
1662C2#6283811yescharacteristic
1663C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53143C2semidirect
4. #53033C2semidirect
7. #45414C2semidirect
8. #45411C2semidirect
15. #42821C2semidirect
16. #42819C2semidirect
17. #42782C2semidirect
19. #42774C2semidirect
21. #42765C2semidirect
22. #42744C2semidirect
23. #42689C2semidirect
24. #42689C2semidirect
25. #36608C2semidirect
26. #36608C2semidirect
27. #36598C2semidirect
28. #36598C2semidirect
29. #36574C2semidirect
30. #36574C2semidirect
31. #36563C2semidirect
32. #36563C2semidirect

Maximal subgroups

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

subgroupindex
#531432
#531422
#531392
#530332
#530282
#530262
#454142
#454112
#453042
#452182
#451242
#451232
#428612
#428562
#428212
#428192
#427822
#427792
#427742
#427702
#427652
#427442
#426892
#366082
#365982
#365742
#365632
#352912
#352842
#352832
#345522