Finite Group Databasebeta

← #7693230

Subgroups — #7693230

Order 512.

4557 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59951C212yesmaximal, complemented
2#59821C211yesmaximal, characteristic
3#59788C214yesmaximal, complemented
4#59653C211yesmaximal, characteristic, complemented
5#59653C211yesmaximal, characteristic, complemented
6#59593C212yesmaximal, complemented
7#59449C212yesmaximal, complemented
8#59293C212yesmaximal, complemented
9#45318C212yesmaximal, complemented
10#45154C212yesmaximal, complemented
11#44722C214yesmaximal, complemented
12#44269C214yesmaximal, complemented
13#40207C214yesmaximal, complemented
14#40083C212yesmaximal, complemented
15#40079C212yesmaximal, complemented
16#39763C211yesmaximal, characteristic
17#39761C211yesmaximal, characteristic, complemented
18#39164C212yesmaximal
19#36590C211yesmaximal, characteristic, complemented
20#36560C211yesmaximal, characteristic, complemented
21#36477C211yesmaximal, characteristic, complemented
22#36421C212yesmaximal, complemented
23#36382C212yesmaximal, complemented
24#36310C212yesmaximal, complemented
25#36285C211yesmaximal, characteristic, complemented
26#36194C211yesmaximal, characteristic, complemented
27#35974C212yesmaximal, complemented
28#35968C212yesmaximal
29#34951C211yesmaximal, characteristic, complemented
30#34793C212yesmaximal, complemented
31#34336C212yesmaximal, complemented
32#34328C211yesmaximal, characteristic, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#559C211yesmaximal, characteristic
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#557C2212yes—
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic
41#2868C2211yescharacteristic
42#2866C2214yes—
43#2863C2212yes—
44#2861C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2855C2212yes—
49#2800C2214yes—
50#2800C2214yes—
51#2794C2214yes—
52#2793C2214yes—
53#2791C2214yes—
54#2777C2214yes—
55#2772C2214yes—
56#2769C2214yes—
57#2767C2214yes—
58#2754C2214yes—
59#2754C2214yes—
60#2738C2214yes—
61#2738C2214yes—
62#2731C2214yes—
63#2731C2214yes—
64#2727C2214yes—
65#2725C2214yes—
66#2725C2214yes—
67#2716C2214yes—
68#2707C2214yes—
69#2707C2214yes—
70#2654C2214yes—
71#2651C2214yes—
72#2641C2212yes—
73#2640C2212yes—
74#2608C2214yes—
75#2606C2214yes—
76#2597C2214yes—
77#2596C2214yes—
78#2594C2214yes—
79#2593C2214yes—
80#2590C2214yes—
81#2589C2214yes—
82#2587C2214yes—
83#2585C2212yes—
84#2585C2214yes—
85#2585C2212yes—
86#2582C2211yescharacteristic
87#2582C2211yescharacteristic
88#2582C2211yescharacteristic
89#2577C2214yes—
90#2575C2214yes—
91#2573C2214yes—
92#2571C2212yes—
93#2570C2212yes—
94#2570C2212yes—
95#2568C2212yes—
96#2568C2211yescharacteristic
97#2566C2212yes—
98#2565C2212yes—
99#2565C2212yes—
100#2565C2212yes—
101#2563C2212yes—
102#2552C2211yescharacteristic
103#2548C2212yes—
104#2546C2212yes—
105#2546C2211yescharacteristic
106#2546C2212yes—
107#2545C2212yes—
108#2545C2212yes—
109#2542C2212yes—
110#2538C2211yescharacteristic
111#2538C2211yescharacteristic
112#2538C2211yescharacteristic
113#2538C2211yescharacteristic
114#2532C2214yes—
115#2532C2214yes—
116#2532C2214yes—
117#2532C2214yes—
118#2531C2214yes—
119#2530C2214yes—
120#2530C2214yes—
121#2529C2214yes—
122#2529C2214yes—
123#2528C2214yes—
124#2528C2214yes—
125#2527C2214yes—
126#2526C2214yes—
127#2525C2214yes—
128#2525C2214yes—
129#2525C2214yes—
130#2524C2214yes—
131#2522C2214yes—
132#2519C2214yes—
133#2519C2214yes—
134#2519C2214yes—
135#2517C2214yes—
136#2515C2214yes—
137#2514C2212yes—
138#2513C2212yes—
139#2513C2212yes—
140#2513C2212yes—
141#2512C2212yes—
142#2512C2214yes—
143#2511C2212yes—
144#2511C2211yescharacteristic
145#2511C2211yescharacteristic
146#2509C2212yes—
147#2507C2212yes—
148#2506C2212yes—
149#2506C2212yes—
150#2506C2212yes—
151#2506C2212yes—
152#2499C2212yes—
153#2497C2214yes—
154#2497C2212yes—
155#2496C2212yes—
156#2494C2212yes—
157#2492C2212yes—
158#2492C2212yes—
159#2492C2212yes—
160#2489C2212yes—
161#2489C2212yes—
162#2485C2212yes—
163#2485C2212yes—
164#2479C2214yes—
165#2475C2214yes—
166#2468C2214yes—
167#2460C2214yes—
168#2460C2214yes—
169#2458C2214yes—
170#2458C2214yes—
171#2453C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2448C2212yes—
175#2448C2212yes—
176#2446C2212yes—
177#2446C2212yes—
178#2446C2211yescharacteristic
179#2446C2211yescharacteristic
180#2446C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2439C2212yes—
184#2439C2214yes—
185#2429C2212yes—
186#2429C2212yes—
187#2429C2212yes—
188#2421C2212yes—
189#2415C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2402C2212yes—
194#2402C2212yes—
195#2401C2214yes—
196#2395C2214yes—
197#2374C2212yes—
198#2374C2212yes—
199#2373C2214yes—
200#2373C2214yes—
201#2373C2214yes—
202#2371C2214yes—
203#2370C2214yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2214yes—
208#2369C2214yes—
209#2369C2212yes—
210#2367C2212yes—
211#2367C2211yescharacteristic
212#2367C2212yes—
213#2367C2211yescharacteristic
214#2367C2212yes—
215#2366C2211yescharacteristic
216#2365C2211yescharacteristic
217#2365C2212yes—
218#2365C2212yes—
219#2365C2212yes—
220#2362C2212yes—
221#2362C2212yes—
222#2362C2212yes—
223#2362C2212yes—
224#2362C2212yes—
225#2357C2211yescharacteristic
226#2357C2212yes—
227#2357C2211yescharacteristic
228#2357C2212yes—
229#2356C2212yes—
230#2356C2212yes—
231#2356C2212yes—
232#2356C2212yes—
233#2355C2212yes—
234#2355C2211yescharacteristic
235#2355C2211yescharacteristic
236#2355C2211yescharacteristic
237#2355C2214yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2211yescharacteristic
243#2354C2212yes—
244#2351C2212yes—
245#2351C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2212yes—
248#2347C2212yes—
249#2347C2212yes—
250#2346C2212yes—
251#2336C2214yes—
252#2334C2214yes—
253#2331C2212yes—
254#2331C2214yes—
255#2330C2212yes—
256#2330C2214yes—
257#2327C2212yes—
258#2326C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#125C2214yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#126C2214yes—
271C4×#124C2211yescharacteristic
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2212yes—
279C4×#123C2212yes—
280#2298C2214yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2214yes—
287#2295C2212yes—
288#2285C2212yes—
289#2276C2212yes—
290#2276C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299#559—28no—
300#557—28no—
301#557—216no—
302#556—28no—
303#556—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2314yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C22×C42C2312yes—
374C22×C42C2312yes—
375#401C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2312yes—
418#398C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#393C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2311yescharacteristic
466#391C2314yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2314yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2312yes—
610#387C2312yes—
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#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
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#387C2312yes—
656#387C2314yes—
657#387C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#386C2312yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#384C2311yescharacteristic
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2312yes—
680#384C2312yes—
681#384C2314yes—
682#384C2312yes—
683#384C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2314yes—
700#382C2312yes—
701#381C2314yes—
702#381C2312yes—
703#381C2312yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C43C2314yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2411yescharacteristic
822C22×D4C2411yescharacteristic
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C4⋊Q8—28no—
833C4⋊Q8—216no—
834C4⋊Q8—28no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—42no—
838C4⋊Q8—42no—
839C4⋊Q8—42no—
840C4⋊Q8#4118yes—
841#127—24no—
842#126—216no—
843#126—216no—
844#126—48no—
845#125—216no—
846#125—28no—
847#125—216no—
848#125—216no—
849#125—28no—
850#125—28no—
851#125—44no—
852#124—28no—
853#124—28no—
854#124—28no—
855#124—24no—
856#124—24no—
857#123—28no—
858#123—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—216no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—42no—
881C4×Q8—42no—
882C4×Q8—42no—
883C4×Q8—44no—
884C4×Q8—42no—
885C4×Q8#4118yes—
886C4×D4—28no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—24no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896#117—28no—
897#117—28no—
898#117—44no—
899#117—44no—
900#117—48no—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C42—44no—
1016C2×C42—44no—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2512yes—
1150C24C2512yes—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—28no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—41no—
1167C2×Q8—41no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8C2×#4118yes—
1171C2×Q8C2×#4114yes—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2514yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4C2×#4118yes—
1310C4⋊C4C2×#4114yes—
1311C4⋊C4C2×#4114yes—
1312C4⋊C4C2×#4114yes—
1313C4⋊C4C2×#4118yes—
1314C4⋊C42−1+414yes—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C42—28no—
1350C42—28no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—28no—
1355C42—28no—
1356C42—28no—
1357C42—24no—
1358C42—28no—
1359C42—24no—
1360C42—22no—
1361C42—22no—
1362C42—28no—
1363C42—24no—
1364C42—22no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—42no—
1382C42—42no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C42—42no—
1389C42—44no—
1390C42—41no—
1391C42—41no—
1392C42—42no—
1393C42—42no—
1394C42—44no—
1395C42C2×#4114yes—
1396C42C2×#4114yes—
1397C42C2×#4114yes—
1398C42C2×#4114yes—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23C2611yescharacteristic
1414Q8—216no—
1415Q8—44no—
1416Q8—44no—
1417Q8—44no—
1418Q8—44no—
1419Q8—44no—
1420Q8—88no—
1421D4—48no—
1422D4—44no—
1423D4—44no—
1424D4—84no—
1425C2×C4—24no—
1426C2×C4—24no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—48no—
1509C2×C4—48no—
1510C2×C4—48no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4C22×#4112yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4118yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C22×#4112yes—
1524C2×C4C22×#4112yes—
1525C2×C4C2×2−1+414yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C2×C4#58512yes—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22C23×#4111yescharacteristic
1545C22C23×#4111yescharacteristic
1546C22C22×2−1+411yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22C2×#58511yescharacteristic
1549C22C2×#58511yescharacteristic
1550C222−1+611yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—24no—
1557C4—22no—
1558C4—22no—
1559C4—22no—
1560C4—28no—
1561C4—44no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—41no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—44no—
1576C4—44no—
1577C4—41no—
1578C4—42no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4#348214yes—
1583C4#352414yes—
1584C2—82no—
1585C2—82no—
1586C2C2×#348211yescharacteristic
1587C2C2×#352411yescharacteristic
1588C2#6281511yescharacteristic
1589C2#6295311yescharacteristic
1590C2#6299511yescharacteristic
1591C2#6300711yescharacteristic
1592C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59951C2semidirect
3. #59788C2semidirect
4. #59653C2semidirect
5. #59653C2semidirect
6. #59593C2semidirect
7. #59449C2semidirect
8. #59293C2semidirect
9. #45318C2semidirect
10. #45154C2semidirect
11. #44722C2semidirect
12. #44269C2semidirect
13. #40207C2semidirect
14. #40083C2semidirect
15. #40079C2semidirect
17. #39761C2semidirect
19. #36590C2semidirect
20. #36560C2semidirect
21. #36477C2semidirect
22. #36421C2semidirect
23. #36382C2semidirect
24. #36310C2semidirect
25. #36285C2semidirect
26. #36194C2semidirect
27. #35974C2semidirect
29. #34951C2semidirect
30. #34793C2semidirect
31. #34336C2semidirect
32. #34328C2semidirect
33. #34324C2semidirect
35. C4×#556C2semidirect

Maximal subgroups

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

subgroupindex
#599512
#598212
#597882
#596532
#595932
#594492
#592932
#453182
#451542
#447222
#442692
#402072
#400832
#400792
#397632
#397612
#391642
#365902
#365602
#364772
#364212
#363822
#363102
#362852
#361942
#359742
#359682
#349512
#347932
#343362
#343282
#343242
C4×#5592
C4×#5562