Finite Group Databasebeta

← #7806387

Subgroups — #7806387

Order 512.

4291 conjugacy classes of subgroups.

The subgroup lattice has 1565 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59870C211yesmaximal, characteristic, complemented
2#59718C212yesmaximal, complemented
3#59709C212yesmaximal, complemented
4#59699C212yesmaximal
5#59653C211yesmaximal, characteristic, complemented
6#59564C212yesmaximal, complemented
7#59547C212yesmaximal, complemented
8#59496C212yesmaximal, complemented
9#59459C211yesmaximal, characteristic, complemented
10#59436C211yesmaximal, characteristic, complemented
11#59435C212yesmaximal, complemented
12#59435C212yesmaximal, complemented
13#59242C211yesmaximal, characteristic, complemented
14#59230C211yesmaximal, characteristic
15#59067C211yesmaximal, characteristic, complemented
16#59065C211yesmaximal, characteristic
17#47160C214yesmaximal, complemented
18#46981C214yesmaximal, complemented
19#42902C212yesmaximal, complemented
20#42901C212yesmaximal, complemented
21#42770C212yesmaximal, complemented
22#42707C212yesmaximal, complemented
23#42371C214yesmaximal, complemented
24#37637C211yesmaximal, characteristic, complemented
25#36069C212yesmaximal, complemented
26#36027C214yesmaximal, complemented
27#35971C212yesmaximal, complemented
28#35895C212yesmaximal
29#35708C212yesmaximal, complemented
30#34975C211yesmaximal, characteristic, complemented
31#34974C211yesmaximal, characteristic
32#34950C211yesmaximal, characteristic, complemented
33#34328C211yesmaximal, characteristic, complemented
34#34322C211yesmaximal, characteristic, complemented
35#34225C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2838C2214yes—
40#2838C2214yes—
41#2831C2214yes—
42#2810C2214yes—
43#2805C2214yes—
44#2800C2214yes—
45#2798C2214yes—
46#2793C2214yes—
47#2792C2214yes—
48#2789C2214yes—
49#2787C2214yes—
50#2787C2214yes—
51#2784C2214yes—
52#2783C2214yes—
53#2775C2214yes—
54#2775C2214yes—
55#2775C2214yes—
56#2775C2214yes—
57#2766C2214yes—
58#2762C2214yes—
59#2758C2214yes—
60#2754C2214yes—
61#2745C2214yes—
62#2744C2214yes—
63#2725C2214yes—
64#2723C2214yes—
65#2720C2214yes—
66#2667C2214yes—
67#2666C2214yes—
68#2654C2214yes—
69#2651C2214yes—
70#2650C2214yes—
71#2647C2212yes—
72#2647C2214yes—
73#2644C2212yes—
74#2637C2214yes—
75#2629C2212yes—
76#2625C2212yes—
77#2612C2214yes—
78#2608C2214yes—
79#2604C2214yes—
80#2604C2214yes—
81#2604C2214yes—
82#2599C2214yes—
83#2597C2214yes—
84#2594C2214yes—
85#2590C2214yes—
86#2586C2214yes—
87#2586C2214yes—
88#2585C2214yes—
89#2584C2212yes—
90#2582C2211yescharacteristic
91#2581C2214yes—
92#2577C2214yes—
93#2577C2214yes—
94#2574C2214yes—
95#2571C2212yes—
96#2571C2214yes—
97#2571C2212yes—
98#2570C2212yes—
99#2570C2214yes—
100#2568C2212yes—
101#2567C2211yescharacteristic
102#2567C2212yes—
103#2567C2212yes—
104#2567C2211yescharacteristic
105#2567C2211yescharacteristic
106#2563C2211yescharacteristic
107#2563C2212yes—
108#2563C2212yes—
109#2552C2211yescharacteristic
110#2552C2212yes—
111#2551C2211yescharacteristic
112#2550C2212yes—
113#2545C2212yes—
114#2538C2211yescharacteristic
115#2533C2212yes—
116#2532C2214yes—
117#2532C2212yes—
118#2531C2214yes—
119#2529C2214yes—
120#2529C2212yes—
121#2528C2214yes—
122#2528C2214yes—
123#2528C2212yes—
124#2526C2214yes—
125#2525C2214yes—
126#2525C2214yes—
127#2524C2214yes—
128#2524C2214yes—
129#2524C2214yes—
130#2519C2214yes—
131#2514C2212yes—
132#2514C2212yes—
133#2514C2211yescharacteristic
134#2514C2212yes—
135#2512C2212yes—
136#2512C2211yescharacteristic
137#2512C2214yes—
138#2511C2212yes—
139#2511C2212yes—
140#2509C2212yes—
141#2509C2214yes—
142#2509C2212yes—
143#2508C2212yes—
144#2508C2212yes—
145#2508C2211yescharacteristic
146#2508C2214yes—
147#2508C2214yes—
148#2507C2212yes—
149#2507C2214yes—
150#2507C2212yes—
151#2506C2211yescharacteristic
152#2499C2212yes—
153#2496C2212yes—
154#2496C2211yescharacteristic
155#2496C2214yes—
156#2495C2212yes—
157#2495C2212yes—
158#2495C2214yes—
159#2495C2211yescharacteristic
160#2494C2212yes—
161#2492C2212yes—
162#2491C2211yescharacteristic
163#2489C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2489C2212yes—
167#2489C2211yescharacteristic
168#2479C2212yes—
169#2478C2212yes—
170#2475C2212yes—
171#2474C2214yes—
172#2474C2212yes—
173#2469C2214yes—
174#2462C2214yes—
175#2462C2214yes—
176#2453C2212yes—
177#2453C2211yescharacteristic
178#2451C2212yes—
179#2451C2212yes—
180#2451C2212yes—
181#2451C2212yes—
182#2451C2211yescharacteristic
183#2448C2212yes—
184#2448C2214yes—
185#2448C2212yes—
186#2448C2211yescharacteristic
187#2447C2212yes—
188#2446C2212yes—
189#2446C2211yescharacteristic
190#2446C2212yes—
191#2442C2212yes—
192#2441C2212yes—
193#2441C2214yes—
194#2441C2212yes—
195#2441C2212yes—
196#2439C2212yes—
197#2429C2212yes—
198#2429C2212yes—
199#2429C2211yescharacteristic
200#2426C2211yescharacteristic
201#2426C2212yes—
202#2423C2212yes—
203#2423C2211yescharacteristic
204#2421C2212yes—
205#2421C2211yescharacteristic
206#2417C2212yes—
207#2415C2212yes—
208#2402C2212yes—
209#2402C2214yes—
210#2401C2212yes—
211#2399C2214yes—
212#2396C2212yes—
213#2396C2214yes—
214#2395C2212yes—
215#2373C2214yes—
216#2373C2214yes—
217#2371C2214yes—
218#2370C2212yes—
219#2370C2212yes—
220#2370C2212yes—
221#2370C2212yes—
222#2370C2212yes—
223#2367C2212yes—
224#2365C2211yescharacteristic
225#2365C2212yes—
226#2365C2211yescharacteristic
227#2365C2212yes—
228#2363C2212yes—
229#2362C2212yes—
230#2362C2212yes—
231#2362C2212yes—
232#2362C2212yes—
233#2360C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2356C2214yes—
238#2356C2214yes—
239#2355C2211yescharacteristic
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2212yes—
243#2354C2212yes—
244#2351C2212yes—
245#2351C2212yes—
246#2351C2212yes—
247#2351C2212yes—
248Q8×C4⋊C4C2212yes—
249Q8×C4⋊C4C2212yes—
250Q8×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2347C2212yes—
254#2346C2212yes—
255#2346C2212yes—
256#2346C2214yes—
257#2345C2212yes—
258#2344C2212yes—
259#2336C2214yes—
260#2334C2214yes—
261#2327C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2320C2212yes—
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×C4⋊Q8C2212yes—
271C4×C4⋊Q8C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×#126C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2212yes—
290#2295C2212yes—
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2276C2212yes—
294#2276C2212yes—
295#2274C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#557—28no—
300#556—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×#126C2314yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C42C2311yescharacteristic
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#399C2312yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2312yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2312yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2312yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2314yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
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#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#386C2314yes—
670#386C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2314yes—
685#384C2312yes—
686#384C2314yes—
687#383C2312yes—
688#383C2312yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2311yescharacteristic
703#382C2314yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#381C2314yes—
712#380C2311yescharacteristic
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801#376C2311yescharacteristic
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2311yescharacteristic
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2414yes—
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2414yes—
826C23×C4C2411yescharacteristic
827C4⋊Q8—28no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—42no—
833C4⋊Q8#4118yes—
834#126—216no—
835#126—44no—
836#126—44no—
837#126—48no—
838#125—28no—
839#125—216no—
840#125—28no—
841#125—24no—
842#125—44no—
843#125—44no—
844#124—28no—
845#124—42no—
846#124—44no—
847C22⋊Q8—28no—
848C22⋊Q8—28no—
849C22⋊Q8—28no—
850C22⋊Q8—24no—
851C22⋊Q8—42no—
852C22⋊Q8—42no—
853C22⋊Q8—44no—
854#121—24no—
855C4×Q8—28no—
856C4×Q8—28no—
857C4×Q8—28no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—24no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—48no—
870C4×Q8—42no—
871C4×Q8—48no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—42no—
875C4×Q8—44no—
876C4×D4—24no—
877C4×D4—44no—
878C4×D4—44no—
879#117—28no—
880#117—28no—
881#117—44no—
882#117—48no—
883#117—42no—
884#117—42no—
885#117—44no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2411yescharacteristic
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C42—24no—
1003C2×C42C2411yescharacteristic
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2414yes—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2414yes—
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137C24C2512yes—
1138C24C2511yescharacteristic
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—22no—
1147C2×Q8—24no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8C2×#4118yes—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—28no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4C2512yes—
1182C22×C4C2511yescharacteristic
1183C22×C4C2511yescharacteristic
1184C22×C4C2511yescharacteristic
1185C22×C4C2514yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2511yescharacteristic
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2514yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C4⋊C4—22no—
1215C4⋊C4—24no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4C2×#4118yes—
1294C4⋊C4C2×#4118yes—
1295C4⋊C42−1+414yes—
1296C4⋊C42−1+414yes—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—24no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—28no—
1333C42—28no—
1334C42—24no—
1335C42—28no—
1336C42—24no—
1337C42—24no—
1338C42—22no—
1339C42—22no—
1340C42—24no—
1341C42—24no—
1342C42—28no—
1343C42—24no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—28no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—24no—
1357C42—28no—
1358C42—22no—
1359C42—41no—
1360C42—41no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—42no—
1371C42—42no—
1372C42C2×#4114yes—
1373C23—22no—
1374C23—21no—
1375C23—21no—
1376C23—22no—
1377C23—22no—
1378C23—21no—
1379C23—22no—
1380C23—21no—
1381C23—22no—
1382C23—21no—
1383C23—21no—
1384C23—22no—
1385C23—21no—
1386C23—22no—
1387C23C2611yescharacteristic
1388Q8—216no—
1389Q8—48no—
1390Q8—48no—
1391Q8—44no—
1392Q8—44no—
1393Q8—44no—
1394Q8—88no—
1395D4—44no—
1396D4—84no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—24no—
1400C2×C4—21no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—21no—
1406C2×C4—24no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—24no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—24no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—48no—
1488C2×C4—88no—
1489C2×C4C22×#4118yes—
1490C2×C4C22×#4112yes—
1491C2×C4C22×#4112yes—
1492C2×C4C22×#4112yes—
1493C2×C4C2×2−1+414yes—
1494C2×C4C2×2−1+414yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4#58512yes—
1498C2×C4#58512yes—
1499C2×C4#58512yes—
1500C2×C4#58512yes—
1501C22—41no—
1502C22—42no—
1503C22—42no—
1504C22—41no—
1505C22—42no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—41no—
1510C22—42no—
1511C22—42no—
1512C22—41no—
1513C22—41no—
1514C22—42no—
1515C22C23×#4111yescharacteristic
1516C22C22×2−1+411yescharacteristic
1517C22C22×2−1+411yescharacteristic
1518C22C2×#58511yescharacteristic
1519C22C2×#58511yescharacteristic
1520C22C2×#58511yescharacteristic
1521C22C2×#58511yescharacteristic
1522C4—24no—
1523C4—22no—
1524C4—24no—
1525C4—28no—
1526C4—22no—
1527C4—22no—
1528C4—41no—
1529C4—42no—
1530C4—42no—
1531C4—41no—
1532C4—41no—
1533C4—44no—
1534C4—41no—
1535C4—41no—
1536C4—42no—
1537C4—44no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—42no—
1542C4—42no—
1543C4—41no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—41no—
1552C4—44no—
1553C4#351514yes—
1554C4#351814yes—
1555C2—81no—
1556C2—82no—
1557C2C2×#351511yescharacteristic
1558C2C2×#351811yescharacteristic
1559C2#6279311yescharacteristic
1560C2#6302311yescharacteristic
1561C2#6302511yescharacteristic
1562C2#6303111yescharacteristic
1563C2#6303811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59870C2semidirect
2. #59718C2semidirect
3. #59709C2semidirect
5. #59653C2semidirect
6. #59564C2semidirect
7. #59547C2semidirect
8. #59496C2semidirect
9. #59459C2semidirect
10. #59436C2semidirect
11. #59435C2semidirect
12. #59435C2semidirect
13. #59242C2semidirect
15. #59067C2semidirect
17. #47160C2semidirect
18. #46981C2semidirect
19. #42902C2semidirect
20. #42901C2semidirect
21. #42770C2semidirect
22. #42707C2semidirect
23. #42371C2semidirect
24. #37637C2semidirect
25. #36069C2semidirect
26. #36027C2semidirect
27. #35971C2semidirect
29. #35708C2semidirect
30. #34975C2semidirect
32. #34950C2semidirect
33. #34328C2semidirect
34. #34322C2semidirect
35. #34225C2semidirect

Maximal subgroups

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

subgroupindex
#598702
#597182
#597092
#596992
#596532
#595642
#595472
#594962
#594592
#594362
#594352
#592422
#592302
#590672
#590652
#471602
#469812
#429022
#429012
#427702
#427072
#423712
#376372
#360692
#360272
#359712
#358952
#357082
#349752
#349742
#349502
#343282
#343222
#342252