Finite Group Databasebeta

← #7987216

Subgroups — #7987216

Order 512.

4254 conjugacy classes of subgroups.

The subgroup lattice has 1571 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59443C211yesmaximal, characteristic, complemented
2#59325C212yesmaximal, complemented
3#59322C211yesmaximal, characteristic, complemented
4#59256C211yesmaximal, characteristic, complemented
5#59239C212yesmaximal
6#51302C214yesmaximal, complemented
7#51261C214yesmaximal, complemented
8#45587C214yesmaximal
9#45431C212yesmaximal, complemented
10#45347C212yesmaximal, complemented
11#45317C212yesmaximal, complemented
12#45304C212yesmaximal, complemented
13#42765C212yesmaximal, complemented
14#42717C212yesmaximal, complemented
15#42689C212yesmaximal, complemented
16#42672C212yesmaximal, complemented
17#39762C211yesmaximal, characteristic, complemented
18#39724C211yesmaximal, characteristic, complemented
19#39182C211yesmaximal, characteristic, complemented
20#39159C211yesmaximal, characteristic, complemented
21#38395C214yesmaximal, complemented
22#38057C212yesmaximal, complemented
23#37894C212yesmaximal
24#36577C211yesmaximal, characteristic, complemented
25#36189C211yesmaximal, characteristic
26#36178C212yesmaximal
27#36177C211yesmaximal, characteristic, complemented
28#36177C212yesmaximal, complemented
29#35235C212yesmaximal, complemented
30#35228C212yesmaximal
31#34780C211yesmaximal, characteristic
32#34691C211yesmaximal, characteristic
33#34488C211yesmaximal, characteristic, complemented
34#34373C211yesmaximal, characteristic, complemented
35C2×#2355C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C22×C4×Q8C2211yescharacteristic
39#2859C2211yescharacteristic
40#2857C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2855C2214yes—
44#2855C2212yes—
45#2855C2214yes—
46#2853C2214yes—
47#2838C2214yes—
48#2833C2214yes—
49#2805C2214yes—
50#2792C2214yes—
51#2777C2214yes—
52#2776C2214yes—
53#2776C2214yes—
54#2776C2214yes—
55#2774C2214yes—
56#2773C2214yes—
57#2773C2214yes—
58#2772C2214yes—
59#2772C2214yes—
60#2770C2214yes—
61#2769C2214yes—
62#2766C2214yes—
63#2766C2214yes—
64#2766C2214yes—
65#2766C2214yes—
66#2762C2214yes—
67#2762C2214yes—
68#2762C2214yes—
69#2762C2214yes—
70#2762C2214yes—
71#2762C2214yes—
72#2759C2214yes—
73#2758C2214yes—
74#2758C2214yes—
75#2758C2214yes—
76#2755C2214yes—
77#2755C2214yes—
78#2755C2214yes—
79#2745C2214yes—
80#2719C2214yes—
81#2690C2214yes—
82#2666C2214yes—
83#2666C2214yes—
84#2655C2214yes—
85#2655C2214yes—
86#2655C2214yes—
87#2650C2214yes—
88#2647C2212yes—
89#2645C2212yes—
90#2642C2212yes—
91#2621C2212yes—
92#2606C2214yes—
93#2605C2214yes—
94#2605C2214yes—
95#2583C2214yes—
96#2582C2211yescharacteristic
97#2582C2211yescharacteristic
98#2582C2212yes—
99#2581C2212yes—
100#2571C2211yescharacteristic
101#2571C2212yes—
102#2570C2212yes—
103#2570C2212yes—
104#2570C2212yes—
105#2569C2214yes—
106#2569C2214yes—
107#2568C2212yes—
108#2568C2211yescharacteristic
109#2568C2212yes—
110#2568C2211yescharacteristic
111#2568C2212yes—
112#2568C2212yes—
113#2567C2212yes—
114#2567C2212yes—
115#2565C2212yes—
116#2551C2211yescharacteristic
117#2550C2212yes—
118#2550C2212yes—
119#2550C2212yes—
120#2549C2214yes—
121#2533C2214yes—
122#2533C2214yes—
123#2533C2214yes—
124#2533C2214yes—
125#2533C2214yes—
126#2532C2214yes—
127#2529C2214yes—
128#2528C2214yes—
129#2528C2214yes—
130#2528C2214yes—
131#2525C2214yes—
132#2525C2214yes—
133#2524C2214yes—
134#2524C2212yes—
135#2520C2214yes—
136#2520C2214yes—
137#2515C2212yes—
138#2514C2212yes—
139#2514C2212yes—
140#2514C2212yes—
141#2514C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2211yescharacteristic
150#2511C2212yes—
151#2511C2212yes—
152#2510C2214yes—
153#2510C2214yes—
154#2509C2212yes—
155#2509C2214yes—
156#2509C2212yes—
157#2509C2212yes—
158#2508C2214yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2211yescharacteristic
162#2507C2212yes—
163#2507C2212yes—
164#2507C2212yes—
165#2505C2214yes—
166#2505C2214yes—
167#2503C2212yes—
168#2503C2211yescharacteristic
169#2499C2212yes—
170#2497C2212yes—
171#2495C2212yes—
172#2495C2211yescharacteristic
173#2494C2212yes—
174#2493C2214yes—
175#2493C2214yes—
176#2493C2214yes—
177#2493C2214yes—
178#2493C2212yes—
179#2492C2212yes—
180#2492C2212yes—
181#2489C2212yes—
182#2489C2211yescharacteristic
183#2488C2214yes—
184#2487C2212yes—
185#2486C2211yescharacteristic
186#2473C2212yes—
187#2465C2212yes—
188#2462C2212yes—
189#2453C2212yes—
190#2453C2212yes—
191#2453C2214yes—
192#2451C2211yescharacteristic
193#2449C2212yes—
194#2446C2211yescharacteristic
195#2446C2212yes—
196#2446C2212yes—
197#2442C2214yes—
198#2442C2212yes—
199#2442C2212yes—
200#2442C2211yescharacteristic
201#2441C2212yes—
202#2440C2212yes—
203#2440C2211yescharacteristic
204#2440C2212yes—
205#2434C2211yescharacteristic
206#2429C2211yescharacteristic
207#2423C2211yescharacteristic
208#2423C2212yes—
209#2421C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2419C2212yes—
213#2417C2211yescharacteristic
214#2417C2212yes—
215#2417C2211yescharacteristic
216#2409C2211yescharacteristic
217#2402C2212yes—
218#2401C2212yes—
219#2399C2212yes—
220#2396C2212yes—
221#2382C2214yes—
222#2378C2214yes—
223#2370C2212yes—
224#2368C2214yes—
225#2365C2212yes—
226#2365C2211yescharacteristic
227#2362C2212yes—
228#2362C2212yes—
229#2360C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2360C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2355C2212yes—
238#2355C2212yes—
239#2355C2211yescharacteristic
240#2355C2212yes—
241#2355C2211yescharacteristic
242#2355C2214yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2355C2212yes—
247#2355C2211yescharacteristic
248#2355C2212yes—
249#2355C2212yes—
250#2352C2212yes—
251#2351C2212yes—
252#2351C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256#2346C2212yes—
257#2345C2212yes—
258Q8×C22⋊C4C2212yes—
259#2336C2214yes—
260#2336C2214yes—
261#2331C2212yes—
262#2331C2212yes—
263#2331C2212yes—
264#2330C2212yes—
265#2330C2212yes—
266#2327C2212yes—
267#2327C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2320C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×#123C2212yes—
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285C2×#391C2212yes—
286#2290C2212yes—
287C2×#387C2214yes—
288#2285C2211yescharacteristic
289C2×#384C2211yescharacteristic
290#2283C2211yescharacteristic
291#2283C2214yes—
292#2283C2212yes—
293#2283C2212yes—
294C2×#382C2212yes—
295C42×D4C2211yescharacteristic
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C23×Q8C2311yescharacteristic
300#557—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#123C2312yes—
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C4×Q8—28no—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×#117C2312yes—
347C2×#117C2312yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C42C2312yes—
356C22×C42C2311yescharacteristic
357C22×C42C2312yes—
358C22×C42C2311yescharacteristic
359C22×C42C2314yes—
360#401C2314yes—
361#401C2314yes—
362#401C2314yes—
363#401C2314yes—
364#401C2314yes—
365#401C2312yes—
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
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#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#399C2314yes—
409#399C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2312yes—
448#396C2312yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2312yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2312yes—
457#395C2312yes—
458#395C2312yes—
459#395C2312yes—
460#393C2314yes—
461#393C2312yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2312yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2311yescharacteristic
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2314yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2311yescharacteristic
503#391C2311yescharacteristic
504#391C2312yes—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
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#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2314yes—
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#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2311yescharacteristic
678#384C2312yes—
679#383C2314yes—
680#383C2312yes—
681#383C2312yes—
682#383C2314yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#382C2311yescharacteristic
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#382C2314yes—
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C22×Q8—24no—
814C22×Q8—24no—
815C22×Q8—42no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—42no—
843#125—28no—
844#125—216no—
845#125—28no—
846#125—42no—
847#125—44no—
848#123—44no—
849C22⋊Q8—24no—
850C22⋊Q8—24no—
851C22⋊Q8—24no—
852C22⋊Q8—28no—
853C22⋊Q8—24no—
854C22⋊Q8—28no—
855C22⋊Q8—44no—
856C22⋊Q8—48no—
857C22⋊Q8—42no—
858C22⋊Q8—44no—
859C22⋊Q8—42no—
860C4×Q8—24no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8#4118yes—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—42no—
879#117—28no—
880#117—44no—
881C2×C4⋊C4—24no—
882C2×C4⋊C4—28no—
883C2×C4⋊C4—24no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C42—28no—
993C2×C42—24no—
994C2×C42—28no—
995C2×C42—24no—
996C2×C42—48no—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2412yes—
1002C2×C42C2414yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2511yescharacteristic
1137C24C2511yescharacteristic
1138C2×Q8—24no—
1139C2×Q8—22no—
1140C2×Q8—22no—
1141C2×Q8—22no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—22no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—22no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8—416no—
1162C2×Q8C2×#4114yes—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—24no—
1177C22×C4—28no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—41no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C42−1+414yes—
1198C22×C42−1+414yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4C2×#4118yes—
1314C4⋊C4C2×#4114yes—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—22no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—44no—
1330C22⋊C4—41no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C42—22no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—28no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C42—41no—
1363C42—44no—
1364C42—44no—
1365C42—41no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42C2×#4114yes—
1372C42C2×#4118yes—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23C2×2−1+412yes—
1385C23C2×2−1+412yes—
1386C23#58512yes—
1387C23C2611yescharacteristic
1388Q8—28no—
1389Q8—48no—
1390Q8—44no—
1391Q8—44no—
1392Q8—44no—
1393Q8—48no—
1394Q8—84no—
1395Q8—164no—
1396D4—44no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—28no—
1408C2×C4—28no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—44no—
1488C2×C4—48no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—82no—
1494C2×C4—88no—
1495C2×C4—84no—
1496C2×C4C22×#4114yes—
1497C2×C4C22×#4112yes—
1498C2×C4C22×#4114yes—
1499C2×C4C22×#4112yes—
1500C2×C4C22×#4112yes—
1501C2×C4C2×2−1+412yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4#58512yes—
1506C2×C4#58512yes—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22#355514yes—
1521C22C23×#4111yescharacteristic
1522C22C22×2−1+411yescharacteristic
1523C22C22×2−1+411yescharacteristic
1524C22C2×#58511yescharacteristic
1525C22C2×#58511yescharacteristic
1526C22C2×#58511yescharacteristic
1527C222−1+611yescharacteristic
1528C4—22no—
1529C4—24no—
1530C4—22no—
1531C4—22no—
1532C4—24no—
1533C4—42no—
1534C4—42no—
1535C4—41no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—41no—
1541C4—41no—
1542C4—44no—
1543C4—44no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—44no—
1548C4—42no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—41no—
1553C4—42no—
1554C4—44no—
1555C4—41no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4#349514yes—
1560C4#351614yes—
1561C2—24no—
1562C2—81no—
1563C2C2×#355511yescharacteristic
1564C2C2×#351611yescharacteristic
1565C2C2×#349511yescharacteristic
1566C2#6295611yescharacteristic
1567C2#6295911yescharacteristic
1568C2#6299311yescharacteristic
1569C2#6303011yescharacteristic
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
1. #59443C2semidirect
2. #59325C2semidirect
3. #59322C2semidirect
4. #59256C2semidirect
6. #51302C2semidirect
7. #51261C2semidirect
9. #45431C2semidirect
10. #45347C2semidirect
11. #45317C2semidirect
12. #45304C2semidirect
13. #42765C2semidirect
14. #42717C2semidirect
15. #42689C2semidirect
16. #42672C2semidirect
17. #39762C2semidirect
18. #39724C2semidirect
19. #39182C2semidirect
20. #39159C2semidirect
21. #38395C2semidirect
22. #38057C2semidirect
24. #36577C2semidirect
27. #36177C2semidirect
28. #36177C2semidirect
29. #35235C2semidirect
33. #34488C2semidirect
34. #34373C2semidirect
35. C2×#2355C2semidirect

Maximal subgroups

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

subgroupindex
#594432
#593252
#593222
#592562
#592392
#513022
#512612
#455872
#454312
#453472
#453172
#453042
#427652
#427172
#426892
#426722
#397622
#397242
#391822
#391592
#383952
#380572
#378942
#365772
#361892
#361782
#361772
#352352
#352282
#347802
#346912
#344882
#343732
C2×#23552