Finite Group Databasebeta

← #7679889

Subgroups — #7679889

Order 512.

4492 conjugacy classes of subgroups.

The subgroup lattice has 1588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59902C212yesmaximal
2#59876C212yesmaximal, complemented
3#59769C212yesmaximal
4#59666C212yesmaximal, complemented
5#59449C212yesmaximal, complemented
6#59447C212yesmaximal, complemented
7#59330C212yesmaximal, complemented
8#59242C212yesmaximal, complemented
9#44690C214yesmaximal, complemented
10#44610C214yesmaximal, complemented
11#43609C214yesmaximal, complemented
12#43603C214yesmaximal, complemented
13#39553C212yesmaximal, complemented
14#39515C211yesmaximal, characteristic, complemented
15#39427C212yesmaximal, complemented
16#39385C211yesmaximal, characteristic, complemented
17#39203C211yesmaximal, characteristic, complemented
18#39200C211yesmaximal, characteristic, complemented
19#38217C212yesmaximal, complemented
20#38215C212yesmaximal, complemented
21#36598C211yesmaximal, characteristic, complemented
22#36556C211yesmaximal, characteristic, complemented
23#36313C211yesmaximal, characteristic, complemented
24#36286C211yesmaximal, characteristic, complemented
25#35646C212yesmaximal, complemented
26#35645C212yesmaximal, complemented
27#35322C211yesmaximal, characteristic, complemented
28#35314C212yesmaximal, complemented
29#34979C211yesmaximal, characteristic
30#34947C211yesmaximal, characteristic
31#34281C212yesmaximal, complemented
32#34235C211yesmaximal, characteristic, complemented
33#34231C211yesmaximal, characteristic, complemented
34#34125C211yesmaximal, characteristic
35C4×#544C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#541C2212yes—
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2862C2212yes—
46#2862C2211yescharacteristic
47#2862C2211yescharacteristic
48#2862C2211yescharacteristic
49#2802C2214yes—
50#2802C2214yes—
51#2798C2214yes—
52#2798C2214yes—
53#2796C2214yes—
54#2793C2214yes—
55#2787C2214yes—
56#2787C2214yes—
57#2786C2214yes—
58#2777C2214yes—
59#2773C2214yes—
60#2772C2214yes—
61#2766C2214yes—
62#2759C2214yes—
63#2757C2214yes—
64#2754C2214yes—
65#2754C2214yes—
66#2747C2214yes—
67#2723C2214yes—
68#2721C2214yes—
69#2721C2214yes—
70#2719C2214yes—
71#2716C2214yes—
72#2690C2214yes—
73#2628C2212yes—
74#2625C2212yes—
75#2625C2212yes—
76#2621C2212yes—
77#2621C2212yes—
78#2621C2212yes—
79#2611C2214yes—
80#2606C2214yes—
81#2605C2214yes—
82#2597C2214yes—
83#2595C2214yes—
84#2594C2214yes—
85#2592C2212yes—
86#2592C2212yes—
87#2590C2214yes—
88#2588C2214yes—
89#2588C2214yes—
90#2582C2212yes—
91#2582C2212yes—
92#2581C2212yes—
93#2581C2212yes—
94#2577C2214yes—
95#2577C2214yes—
96#2575C2214yes—
97#2574C2214yes—
98#2573C2214yes—
99#2571C2212yes—
100#2571C2212yes—
101#2570C2212yes—
102#2570C2212yes—
103#2570C2214yes—
104#2568C2211yescharacteristic
105#2568C2211yescharacteristic
106#2567C2211yescharacteristic
107#2566C2212yes—
108#2565C2212yes—
109#2565C2212yes—
110#2565C2212yes—
111#2565C2212yes—
112#2565C2212yes—
113#2564C2214yes—
114#2563C2211yescharacteristic
115#2560C2214yes—
116#2552C2212yes—
117#2552C2212yes—
118#2550C2214yes—
119#2547C2211yescharacteristic
120#2546C2211yescharacteristic
121#2542C2211yescharacteristic
122#2542C2211yescharacteristic
123#2533C2214yes—
124#2531C2214yes—
125#2530C2214yes—
126#2530C2214yes—
127#2529C2214yes—
128#2528C2214yes—
129#2528C2214yes—
130#2527C2214yes—
131#2525C2214yes—
132#2524C2214yes—
133#2524C2214yes—
134#2524C2214yes—
135#2524C2214yes—
136#2524C2214yes—
137#2524C2214yes—
138#2523C2214yes—
139#2523C2214yes—
140#2522C2214yes—
141#2520C2214yes—
142#2520C2214yes—
143#2520C2214yes—
144#2520C2214yes—
145#2519C2214yes—
146#2517C2214yes—
147#2517C2214yes—
148#2515C2214yes—
149#2514C2212yes—
150#2514C2214yes—
151#2514C2212yes—
152#2514C2212yes—
153#2513C2212yes—
154#2513C2212yes—
155#2512C2212yes—
156#2512C2212yes—
157#2511C2212yes—
158#2511C2212yes—
159#2511C2214yes—
160#2511C2212yes—
161#2509C2212yes—
162#2508C2214yes—
163#2508C2212yes—
164#2507C2214yes—
165#2499C2212yes—
166#2499C2212yes—
167#2499C2212yes—
168#2499C2212yes—
169#2499C2212yes—
170#2495C2212yes—
171#2495C2214yes—
172#2494C2212yes—
173#2492C2212yes—
174#2489C2212yes—
175#2489C2214yes—
176#2453C2212yes—
177#2451C2212yes—
178#2448C2212yes—
179#2448C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2432C2212yes—
185#2429C2212yes—
186#2429C2212yes—
187#2423C2212yes—
188#2421C2212yes—
189#2417C2212yes—
190#2417C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2396C2214yes—
194#2395C2214yes—
195#2373C2214yes—
196#2373C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2371C2214yes—
200#2371C2214yes—
201#2370C2214yes—
202#2370C2214yes—
203#2369C2211yescharacteristic
204#2369C2211yescharacteristic
205#2365C2212yes—
206#2365C2212yes—
207#2365C2211yescharacteristic
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2362C2212yes—
214#2362C2212yes—
215#2360C2212yes—
216#2360C2212yes—
217#2357C2211yescharacteristic
218#2357C2212yes—
219#2357C2212yes—
220#2357C2211yescharacteristic
221#2356C2212yes—
222#2356C2212yes—
223#2356C2212yes—
224#2356C2214yes—
225#2355C2212yes—
226#2355C2212yes—
227#2355C2212yes—
228#2355C2212yes—
229#2351C2211yescharacteristic
230#2351C2212yes—
231#2351C2211yescharacteristic
232#2347C2212yes—
233#2347C2211yescharacteristic
234#2347C2212yes—
235#2347C2211yescharacteristic
236#2347C2212yes—
237#2346C2212yes—
238#2343C2214yes—
239#2341C2211yescharacteristic
240#2341C2211yescharacteristic
241#2336C2214yes—
242#2332C2214yes—
243#2331C2211yescharacteristic
244#2331C2212yes—
245#2331C2211yescharacteristic
246#2330C2211yescharacteristic
247#2330C2212yes—
248#2330C2211yescharacteristic
249#2329C2212yes—
250#2329C2212yes—
251#2327C2212yes—
252#2327C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2320C2212yes—
256#2320C2212yes—
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2316C2211yescharacteristic
260#2314C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281#2297C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2285C2212yes—
289#2283C2212yes—
290#2283C2211yescharacteristic
291#2276C2212yes—
292#2276C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yes—
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#544—28no—
301#541—216no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2311yescharacteristic
323C2×#124C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C4×#41—28no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2312yes—
371C22×C42C2311yescharacteristic
372#401C2314yes—
373#401C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
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#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#394C2314yes—
440#394C2314yes—
441#393C2314yes—
442#393C2314yes—
443#393C2314yes—
444#391C2314yes—
445#391C2312yes—
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#389C2312yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#387C2314yes—
579#387C2312yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
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#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#386C2314yes—
651#386C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2311yescharacteristic
665#384C2312yes—
666#384C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#383C2314yes—
673#383C2314yes—
674#383C2314yes—
675#383C2312yes—
676#383C2312yes—
677#383C2312yes—
678#383C2314yes—
679#383C2314yes—
680#383C2314yes—
681#382C2311yescharacteristic
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2314yes—
695#382C2314yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#381C2312yes—
704#381C2312yes—
705#381C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2311yescharacteristic
716#380C2311yescharacteristic
717#380C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801#376C2312yes—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C2×#95C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C4⋊Q8—28no—
836C4⋊Q8—28no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845#126—216no—
846#126—216no—
847#125—216no—
848#125—216no—
849#125—28no—
850#125—24no—
851#125—28no—
852#125—28no—
853#125#4118yescomplemented
854#124—44no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—42no—
882C4×Q8—42no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—24no—
886C4×D4—24no—
887#117—24no—
888#117—28no—
889#117—28no—
890#117—24no—
891#117—28no—
892#117—28no—
893#117—24no—
894#117—44no—
895#117—42no—
896#117—42no—
897C2×C4⋊C4—24no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C42—28no—
1009C2×C42—44no—
1010C2×C42#4118yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2512yes—
1149C24C2511yescharacteristic
1150#41—416no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q82−1+414yes—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—42no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4C2×#4114yes—
1200C22×C4C2×#4114yes—
1201C22×C4C2×#4114yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4C2×#4114yes—
1312C4⋊C4C2×#4114yes—
1313C4⋊C4C2×#4118yes—
1314C4⋊C4C2×#4118yes—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—22no—
1321C22⋊C4—24no—
1322C22⋊C4—22no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—28no—
1349C42—28no—
1350C42—24no—
1351C42—22no—
1352C42—28no—
1353C42—28no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—22no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—42no—
1368C42—42no—
1369C42—42no—
1370C42—41no—
1371C42—44no—
1372C42—42no—
1373C42—41no—
1374C42—42no—
1375C42—42no—
1376C42—41no—
1377C42—41no—
1378C42—44no—
1379C42—42no—
1380C42—42no—
1381C42—42no—
1382C42—44no—
1383C42—42no—
1384C42—42no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42C2×#4114yes—
1389C42C2×#4114yes—
1390C42C2×#4114yes—
1391C42C2×#4114yes—
1392C42C2×#4114yes—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23C22×#4112yes—
1407C23C2611yescharacteristic
1408Q8—28no—
1409Q8—48no—
1410Q8—48no—
1411Q8—48no—
1412Q8—84no—
1413Q8—84no—
1414Q8—84no—
1415D4—48no—
1416D4—44no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—28no—
1436C2×C4—28no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—44no—
1504C2×C4—48no—
1505C2×C4—48no—
1506C2×C4—84no—
1507C2×C4—84no—
1508C2×C4—84no—
1509C2×C4C22×#4112yes—
1510C2×C4C22×#4112yes—
1511C2×C4C22×#4114yes—
1512C2×C4C22×#4114yes—
1513C2×C4C22×#4112yes—
1514C2×C4C22×#4112yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C2×2−1+414yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4#58512yes—
1523C2×C4#58512yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22C23×#4111yescharacteristic
1539C22C23×#4111yescharacteristic
1540C22C22×2−1+411yescharacteristic
1541C22C2×#58511yescharacteristic
1542C22C2×#58511yescharacteristic
1543C222−1+611yescharacteristic
1544C222−1+611yescharacteristic
1545C4—24no—
1546C4—22no—
1547C4—22no—
1548C4—24no—
1549C4—22no—
1550C4—24no—
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—42no—
1559C4—41no—
1560C4—44no—
1561C4—42no—
1562C4—44no—
1563C4—41no—
1564C4—42no—
1565C4—41no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—41no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4—42no—
1574C4—44no—
1575C4—44no—
1576C4#348014yes—
1577C4#349514yes—
1578C2—42no—
1579C2—82no—
1580C2C2×#348011yescharacteristic
1581C2C2×#349511yescharacteristic
1582C2#6286011yescharacteristic
1583C2#6293911yescharacteristic
1584C2#6295311yescharacteristic
1585C2#6299511yescharacteristic
1586C2#6300111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59876C2semidirect
4. #59666C2semidirect
5. #59449C2semidirect
6. #59447C2semidirect
7. #59330C2semidirect
8. #59242C2semidirect
9. #44690C2semidirect
10. #44610C2semidirect
11. #43609C2semidirect
12. #43603C2semidirect
13. #39553C2semidirect
14. #39515C2semidirect
15. #39427C2semidirect
16. #39385C2semidirect
17. #39203C2semidirect
18. #39200C2semidirect
19. #38217C2semidirect
20. #38215C2semidirect
21. #36598C2semidirect
22. #36556C2semidirect
23. #36313C2semidirect
24. #36286C2semidirect
25. #35646C2semidirect
26. #35645C2semidirect
27. #35322C2semidirect
28. #35314C2semidirect
31. #34281C2semidirect
32. #34235C2semidirect
33. #34231C2semidirect
35. C4×#544C2semidirect
853. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599022
#598762
#597692
#596662
#594492
#594472
#593302
#592422
#446902
#446102
#436092
#436032
#395532
#395152
#394272
#393852
#392032
#392002
#382172
#382152
#365982
#365562
#363132
#362862
#356462
#356452
#353222
#353142
#349792
#349472
#342812
#342352
#342312
#341252
C4×#5442