Finite Group Databasebeta

← #7685959

Subgroups — #7685959

Order 512.

4475 conjugacy classes of subgroups.

The subgroup lattice has 1554 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59876C212yesmaximal
2#59725C214yesmaximal, complemented
3#59695C212yesmaximal, complemented
4#59639C211yesmaximal, characteristic
5#59451C211yesmaximal, characteristic
6#59449C212yesmaximal
7#59447C212yesmaximal, complemented
8#59445C211yesmaximal, characteristic, complemented
9#45343C212yesmaximal, complemented
10#45342C212yesmaximal, complemented
11#44560C214yesmaximal, complemented
12#43301C214yesmaximal, complemented
13#40027C212yesmaximal
14#40024C212yesmaximal, complemented
15#39385C211yesmaximal, characteristic
16#39307C214yesmaximal, complemented
17#39283C212yesmaximal, complemented
18#38986C211yesmaximal, characteristic, complemented
19#36600C212yesmaximal, complemented
20#36598C211yesmaximal, characteristic, complemented
21#36562C211yesmaximal, characteristic
22#36562C211yesmaximal, characteristic
23#36560C211yesmaximal, characteristic, complemented
24#36535C212yesmaximal, complemented
25#36408C212yesmaximal, complemented
26#36286C211yesmaximal, characteristic, complemented
27#35919C212yesmaximal, complemented
28#35789C212yesmaximal, complemented
29#34902C211yesmaximal, characteristic
30#34902C212yesmaximal
31#34328C211yesmaximal, characteristic, complemented
32#34317C211yesmaximal, characteristic
33#34286C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#557C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×#541C2212yes—
41#2868C2211yescharacteristic
42#2864C2214yes—
43#2863C2212yes—
44#2862C2211yescharacteristic
45#2862C2211yescharacteristic
46#2859C2212yes—
47#2859C2212yes—
48#2859C2212yes—
49#2802C2214yes—
50#2798C2214yes—
51#2793C2214yes—
52#2789C2214yes—
53#2783C2214yes—
54#2777C2214yes—
55#2776C2214yes—
56#2774C2214yes—
57#2773C2214yes—
58#2772C2214yes—
59#2772C2214yes—
60#2766C2214yes—
61#2766C2214yes—
62#2758C2214yes—
63#2725C2214yes—
64#2725C2214yes—
65#2721C2214yes—
66#2721C2214yes—
67#2719C2214yes—
68#2719C2214yes—
69#2716C2214yes—
70#2655C2214yes—
71#2652C2214yes—
72#2645C2212yes—
73#2621C2212yes—
74#2606C2214yes—
75#2605C2214yes—
76#2596C2214yes—
77#2596C2212yes—
78#2596C2214yes—
79#2596C2214yes—
80#2594C2214yes—
81#2594C2214yes—
82#2594C2212yes—
83#2592C2211yescharacteristic
84#2592C2212yes—
85#2590C2214yes—
86#2590C2214yes—
87#2590C2214yes—
88#2588C2214yes—
89#2588C2214yes—
90#2588C2214yes—
91#2585C2214yes—
92#2585C2214yes—
93#2585C2214yes—
94#2585C2214yes—
95#2582C2212yes—
96#2581C2211yescharacteristic
97#2581C2212yes—
98#2575C2214yes—
99#2573C2214yes—
100#2571C2212yes—
101#2571C2212yes—
102#2570C2214yes—
103#2570C2212yes—
104#2570C2212yes—
105#2570C2212yes—
106#2570C2212yes—
107#2570C2212yes—
108#2570C2211yescharacteristic
109#2570C2212yes—
110#2568C2212yes—
111#2568C2211yescharacteristic
112#2568C2211yescharacteristic
113#2567C2211yescharacteristic
114#2567C2211yescharacteristic
115#2566C2212yes—
116#2566C2212yes—
117#2565C2212yes—
118#2565C2212yes—
119#2565C2212yes—
120#2565C2212yes—
121#2556C2214yes—
122#2556C2214yes—
123#2556C2214yes—
124#2556C2214yes—
125#2552C2212yes—
126#2552C2212yes—
127#2552C2212yes—
128#2550C2214yes—
129#2546C2212yes—
130#2546C2212yes—
131#2545C2211yescharacteristic
132#2542C2211yescharacteristic
133#2542C2211yescharacteristic
134#2533C2214yes—
135#2529C2214yes—
136#2528C2214yes—
137#2528C2214yes—
138#2527C2214yes—
139#2525C2212yes—
140#2525C2214yes—
141#2525C2214yes—
142#2524C2214yes—
143#2524C2214yes—
144#2523C2214yes—
145#2519C2214yes—
146#2517C2214yes—
147#2515C2214yes—
148#2514C2212yes—
149#2514C2212yes—
150#2514C2212yes—
151#2514C2211yescharacteristic
152#2513C2212yes—
153#2513C2212yes—
154#2512C2212yes—
155#2512C2211yescharacteristic
156#2512C2212yes—
157#2511C2212yes—
158#2511C2212yes—
159#2511C2212yes—
160#2511C2212yes—
161#2511C2212yes—
162#2508C2212yes—
163#2506C2214yes—
164#2506C2214yes—
165#2506C2212yes—
166#2499C2212yes—
167#2499C2212yes—
168#2492C2212yes—
169#2489C2212yes—
170#2478C2214yes—
171#2475C2214yes—
172#2469C2214yes—
173#2469C2212yes—
174#2462C2214yes—
175#2453C2214yes—
176#2453C2212yes—
177#2453C2214yes—
178#2451C2212yes—
179#2448C2211yescharacteristic
180#2448C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2446C2211yescharacteristic
185#2429C2212yes—
186#2429C2212yes—
187#2429C2212yes—
188#2429C2212yes—
189#2429C2212yes—
190#2429C2212yes—
191#2423C2212yes—
192#2421C2212yes—
193#2401C2214yes—
194#2401C2212yes—
195#2396C2212yes—
196#2396C2214yes—
197#2373C2214yes—
198#2373C2214yes—
199#2371C2214yes—
200#2371C2214yes—
201#2370C2212yes—
202#2370C2214yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2214yes—
206#2370C2211yescharacteristic
207#2370C2212yes—
208#2370C2212yes—
209#2370C2212yes—
210#2370C2211yescharacteristic
211#2370C2214yes—
212#2369C2211yescharacteristic
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2212yes—
216#2365C2212yes—
217#2365C2212yes—
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2365C2212yes—
221#2365C2212yes—
222#2362C2212yes—
223#2362C2214yes—
224#2362C2212yes—
225#2362C2212yes—
226#2360C2212yes—
227#2360C2212yes—
228#2360C2212yes—
229#2360C2212yes—
230#2357C2212yes—
231#2356C2212yes—
232#2356C2212yes—
233#2356C2212yes—
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2355C2212yes—
238#2355C2212yes—
239#2355C2212yes—
240#2355C2212yes—
241#2355C2211yescharacteristic
242#2355C2212yes—
243#2355C2212yes—
244#2355C2212yes—
245#2354C2211yescharacteristic
246#2351C2211yescharacteristic
247#2351C2212yes—
248#2351C2211yescharacteristic
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2211yescharacteristic
251#2344C2212yes—
252#2336C2214yes—
253#2336C2214yes—
254#2334C2214yes—
255#2332C2214yes—
256#2327C2212yes—
257#2323C2212yes—
258#2320C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2211yescharacteristic
273C4×#125C2214yes—
274C4×#125C2214yes—
275C4×#125C2212yes—
276C4×#126C2212yes—
277C4×#126C2214yes—
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yes—
281C4×#124C2211yescharacteristic
282#2298C2214yes—
283#2298C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2276C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2212yes—
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×Q8C2212yes—
298C42×Q8C2211yescharacteristic
299#557—28no—
300#557—28no—
301#557—28no—
302#554—28no—
303#541—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2314yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370#401C2314yes—
371#401C2312yes—
372#401C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#397C2314yes—
423#397C2312yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2312yes—
431#397C2314yes—
432#397C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2314yes—
440#396C2312yes—
441#396C2312yes—
442#395C2314yes—
443#395C2314yes—
444#395C2312yes—
445#395C2314yes—
446#393C2312yes—
447#393C2314yes—
448#391C2311yescharacteristic
449#391C2311yescharacteristic
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2311yescharacteristic
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2314yes—
500#389C2312yes—
501#389C2314yes—
502#389C2314yes—
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#383C2314yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2314yes—
690#382C2314yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2311yescharacteristic
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#381C2314yes—
707#380C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807C43C2314yes—
808C43C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2414yes—
826C4⋊Q8—28no—
827C4⋊Q8—28no—
828C4⋊Q8—24no—
829C4⋊Q8—28no—
830C4⋊Q8—24no—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—44no—
836#126—216no—
837#126—216no—
838#126—44no—
839#125—216no—
840#125—216no—
841#125—28no—
842#125—24no—
843#125—28no—
844#125—216no—
845#125—216no—
846#125—28no—
847#125—28no—
848#125—28no—
849#125—48no—
850#125#4118yes—
851#124—24no—
852#124—24no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—216no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—42no—
883C4×Q8—42no—
884C4×Q8—42no—
885C4×Q8#4118yes—
886C4×D4—28no—
887C4×D4—24no—
888#117—28no—
889#117—48no—
890#117—44no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C42C2412yes—
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2414yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2411yescharacteristic
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—41no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8C2×#4114yes—
1168C2×Q82−1+414yes—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2511yescharacteristic
1181C22×C4C2511yescharacteristic
1182C22×C4C2512yes—
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2511yescharacteristic
1188C22×C4C2514yes—
1189C22×C4C2512yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2514yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2514yes—
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C4⋊C4—28no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—24no—
1218C4⋊C4—22no—
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—22no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—28no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4C2×#4114yes—
1297C4⋊C4C2×#4114yes—
1298C4⋊C4C2×#4114yes—
1299C4⋊C4C2×#4118yes—
1300C4⋊C4C2×#4118yes—
1301C4⋊C4C2×#4118yes—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C42—24no—
1323C42—24no—
1324C42—28no—
1325C42—24no—
1326C42—22no—
1327C42—28no—
1328C42—24no—
1329C42—24no—
1330C42—22no—
1331C42—24no—
1332C42—28no—
1333C42—28no—
1334C42—28no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—42no—
1351C42—41no—
1352C42—42no—
1353C42—42no—
1354C42—41no—
1355C42—42no—
1356C42—41no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—42no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—42no—
1365C42—42no—
1366C42—41no—
1367C42—41no—
1368C42—42no—
1369C42—44no—
1370C42—44no—
1371C42—42no—
1372C42C2×#4114yes—
1373C42C2×#4118yes—
1374C42C2×#4114yes—
1375C422−1+414yes—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23C2611yescharacteristic
1384Q8—28no—
1385Q8—28no—
1386Q8—44no—
1387Q8—48no—
1388Q8—48no—
1389Q8—48no—
1390Q8—44no—
1391Q8—84no—
1392D4—44no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—22no—
1408C2×C4—21no—
1409C2×C4—22no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—24no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—24no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—48no—
1479C2×C4—88no—
1480C2×C4C22×#4114yes—
1481C2×C4C22×#4114yes—
1482C2×C4C22×#4114yes—
1483C2×C4C22×#4112yes—
1484C2×C4C22×#4114yes—
1485C2×C4C22×#4112yes—
1486C2×C4C22×#4112yes—
1487C2×C4C22×#4112yes—
1488C2×C4C22×#4112yes—
1489C2×C4C22×#4112yes—
1490C2×C4C2×2−1+414yes—
1491C2×C4C2×2−1+412yes—
1492C2×C4C2×2−1+412yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4C2×2−1+412yes—
1495C2×C4#58512yes—
1496C2×C4#58512yes—
1497C22—42no—
1498C22—42no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22C23×#4111yescharacteristic
1505C22C23×#4111yescharacteristic
1506C22C22×2−1+411yescharacteristic
1507C22C22×2−1+411yescharacteristic
1508C22C2×#58511yescharacteristic
1509C22C2×#58511yescharacteristic
1510C222−1+611yescharacteristic
1511C4—24no—
1512C4—22no—
1513C4—24no—
1514C4—22no—
1515C4—22no—
1516C4—24no—
1517C4—22no—
1518C4—24no—
1519C4—22no—
1520C4—22no—
1521C4—24no—
1522C4—42no—
1523C4—42no—
1524C4—44no—
1525C4—42no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—44no—
1531C4—42no—
1532C4—42no—
1533C4—42no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—44no—
1542C4—44no—
1543C4#348014yes—
1544C4#352314yes—
1545C2—82no—
1546C2C2×#348011yescharacteristic
1547C2C2×#352311yescharacteristic
1548C2#6280511yescharacteristic
1549C2#6295611yescharacteristic
1550C2#6299511yescharacteristic
1551C2#6300111yescharacteristic
1552C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #59725C2semidirect
3. #59695C2semidirect
7. #59447C2semidirect
8. #59445C2semidirect
9. #45343C2semidirect
10. #45342C2semidirect
11. #44560C2semidirect
12. #43301C2semidirect
14. #40024C2semidirect
16. #39307C2semidirect
17. #39283C2semidirect
18. #38986C2semidirect
19. #36600C2semidirect
20. #36598C2semidirect
23. #36560C2semidirect
24. #36535C2semidirect
25. #36408C2semidirect
26. #36286C2semidirect
27. #35919C2semidirect
28. #35789C2semidirect
31. #34328C2semidirect
33. #34286C2semidirect
34. C4×#557C2semidirect
35. C4×#557C2semidirect

Maximal subgroups

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

subgroupindex
#598762
#597252
#596952
#596392
#594512
#594492
#594472
#594452
#453432
#453422
#445602
#433012
#400272
#400242
#393852
#393072
#392832
#389862
#366002
#365982
#365622
#365602
#365352
#364082
#362862
#359192
#357892
#349022
#343282
#343172
#342862
C4×#5572