Finite Group Databasebeta

← #7690635

Subgroups — #7690635

Order 512.

4594 conjugacy classes of subgroups.

The subgroup lattice has 1616 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59673C211yesmaximal, characteristic, complemented
2#59557C212yesmaximal, complemented
3#59511C212yesmaximal, complemented
4#59395C212yesmaximal, complemented
5#59261C214yesmaximal, complemented
6#59231C212yesmaximal, complemented
7#59079C211yesmaximal, characteristic, complemented
8#59052C211yesmaximal, characteristic, complemented
9#45169C212yesmaximal, complemented
10#45096C212yesmaximal
11#43833C214yesmaximal, complemented
12#43781C214yesmaximal, complemented
13#40457C214yesmaximal, complemented
14#40223C212yesmaximal, complemented
15#40097C212yesmaximal, complemented
16#39350C211yesmaximal, characteristic, complemented
17#39081C212yesmaximal, complemented
18#38930C211yesmaximal, characteristic, complemented
19#36489C212yesmaximal, complemented
20#36454C211yesmaximal, characteristic, complemented
21#36454C212yesmaximal, complemented
22#36313C211yesmaximal, characteristic, complemented
23#36288C211yesmaximal, characteristic, complemented
24#36177C211yesmaximal, characteristic, complemented
25#36173C212yesmaximal, complemented
26#36151C211yesmaximal, characteristic, complemented
27#35972C212yesmaximal, complemented
28#35803C212yesmaximal, complemented
29#34898C211yesmaximal, characteristic, complemented
30#34780C212yesmaximal, complemented
31#34284C212yesmaximal, complemented
32#34231C211yesmaximal, characteristic, complemented
33#34213C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#542C2212yes—
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41#2863C2212yes—
42#2862C2211yescharacteristic
43#2862C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2855C2212yes—
48#2852C2214yes—
49#2799C2214yes—
50#2794C2214yes—
51#2793C2214yes—
52#2770C2214yes—
53#2767C2214yes—
54#2765C2214yes—
55#2765C2214yes—
56#2762C2214yes—
57#2744C2214yes—
58#2743C2214yes—
59#2738C2214yes—
60#2738C2214yes—
61#2738C2214yes—
62#2732C2214yes—
63#2728C2214yes—
64#2718C2214yes—
65#2717C2214yes—
66#2701C2214yes—
67#2698C2214yes—
68#2698C2214yes—
69#2686C2214yes—
70#2666C2214yes—
71#2649C2214yes—
72#2647C2212yes—
73#2625C2212yes—
74#2612C2214yes—
75#2612C2214yes—
76#2606C2214yes—
77#2596C2214yes—
78#2594C2214yes—
79#2594C2214yes—
80#2590C2214yes—
81#2588C2214yes—
82#2581C2214yes—
83#2577C2212yes—
84#2575C2214yes—
85#2575C2214yes—
86#2575C2212yes—
87#2575C2214yes—
88#2574C2214yes—
89#2571C2211yescharacteristic
90#2570C2214yes—
91#2570C2211yescharacteristic
92#2568C2211yescharacteristic
93#2565C2211yescharacteristic
94#2562C2211yescharacteristic
95#2552C2212yes—
96#2551C2211yescharacteristic
97#2550C2212yes—
98#2550C2212yes—
99#2547C2212yes—
100#2547C2211yescharacteristic
101#2546C2211yescharacteristic
102#2542C2211yescharacteristic
103#2542C2212yes—
104#2536C2212yes—
105#2536C2212yes—
106#2536C2211yescharacteristic
107#2533C2214yes—
108#2533C2214yes—
109#2533C2214yes—
110#2532C2214yes—
111#2531C2214yes—
112#2530C2214yes—
113#2528C2214yes—
114#2524C2214yes—
115#2524C2212yes—
116#2524C2214yes—
117#2524C2214yes—
118#2518C2214yes—
119#2518C2214yes—
120#2517C2214yes—
121#2517C2214yes—
122#2517C2214yes—
123#2516C2214yes—
124#2515C2214yes—
125#2515C2214yes—
126#2514C2212yes—
127#2514C2212yes—
128#2514C2212yes—
129#2514C2212yes—
130#2511C2214yes—
131#2511C2212yes—
132#2509C2212yes—
133#2509C2212yes—
134#2509C2212yes—
135#2508C2212yes—
136#2508C2212yes—
137#2508C2212yes—
138#2508C2214yes—
139#2507C2214yes—
140#2503C2212yes—
141#2503C2212yes—
142#2497C2212yes—
143#2496C2212yes—
144#2496C2214yes—
145#2496C2211yescharacteristic
146#2495C2211yescharacteristic
147#2495C2214yes—
148#2493C2214yes—
149#2493C2214yes—
150#2493C2214yes—
151#2492C2212yes—
152#2489C2212yes—
153#2489C2212yes—
154#2489C2212yes—
155#2489C2212yes—
156#2489C2212yes—
157#2488C2214yes—
158#2486C2212yes—
159#2469C2214yes—
160#2468C2212yes—
161#2454C2212yes—
162#2453C2212yes—
163#2453C2212yes—
164#2453C2212yes—
165#2453C2212yes—
166#2451C2212yes—
167#2447C2214yes—
168#2447C2212yes—
169#2447C2212yes—
170#2446C2212yes—
171#2442C2212yes—
172#2441C2212yes—
173#2440C2212yes—
174#2439C2212yes—
175#2429C2212yes—
176#2429C2212yes—
177#2427C2212yes—
178#2423C2211yescharacteristic
179#2423C2214yes—
180#2421C2212yes—
181#2421C2214yes—
182#2421C2212yes—
183#2421C2212yes—
184#2421C2212yes—
185#2421C2211yescharacteristic
186#2420C2212yes—
187#2419C2214yes—
188#2417C2212yes—
189#2417C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2402C2214yes—
194#2402C2212yes—
195#2401C2214yes—
196#2395C2212yes—
197#2374C2212yes—
198#2373C2214yes—
199#2373C2214yes—
200#2373C2212yes—
201#2372C2214yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2211yescharacteristic
205#2370C2212yes—
206#2369C2211yescharacteristic
207#2369C2211yescharacteristic
208#2369C2211yescharacteristic
209#2369C2212yes—
210#2368C2214yes—
211#2367C2214yes—
212#2367C2212yes—
213#2367C2212yes—
214#2365C2212yes—
215#2365C2211yescharacteristic
216#2365C2212yes—
217#2365C2212yes—
218#2365C2211yescharacteristic
219#2365C2211yescharacteristic
220#2365C2211yescharacteristic
221#2364C2212yes—
222#2363C2212yes—
223#2363C2211yescharacteristic
224#2362C2212yes—
225#2362C2212yes—
226#2362C2212yes—
227#2362C2212yes—
228#2361C2211yescharacteristic
229#2360C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2357C2211yescharacteristic
233#2356C2214yes—
234#2356C2212yes—
235#2356C2212yes—
236#2355C2214yes—
237#2355C2211yescharacteristic
238#2355C2214yes—
239#2355C2212yes—
240#2355C2212yes—
241#2353C2212yes—
242#2352C2212yes—
243#2352C2211yescharacteristic
244#2351C2212yes—
245Q8×C4⋊C4C2212yes—
246#2349C2212yes—
247D4×C4⋊C4C2211yescharacteristic
248#2347C2212yes—
249#2347C2211yescharacteristic
250#2346C2212yes—
251#2346C2212yes—
252#2345C2212yes—
253#2345C2211yescharacteristic
254#2335C2214yes—
255#2332C2214yes—
256#2332C2214yes—
257#2329C2214yes—
258#2320C2212yes—
259#2319C2212yes—
260#2317C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#125C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#126C2212yes—
268C4×#126C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2214yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2214yes—
277C4×#123C2212yes—
278C4×#123C2214yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2285C2211yescharacteristic
286#2283C2211yescharacteristic
287#2283C2214yes—
288#2283C2212yes—
289#2276C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299#554—28no—
300#553—28no—
301#542—216no—
302#533—28no—
303#533—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#124C2312yes—
319C2×#124C2314yes—
320C2×#123C2314yes—
321C2×#123C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2314yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377#401C2314yes—
378#401C2314yes—
379#400C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#394C2312yes—
450#394C2312yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#393C2314yes—
455#391C2312yes—
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#390C2311yescharacteristic
484#390C2312yes—
485#390C2314yes—
486#390C2311yescharacteristic
487#390C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2312yes—
499#389C2312yes—
500#389C2314yes—
501#389C2314yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2312yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2312yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2314yes—
588#387C2312yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2312yes—
636#386C2314yes—
637#386C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2312yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#384C2311yescharacteristic
653#384C2311yescharacteristic
654#384C2314yes—
655#384C2311yescharacteristic
656#384C2312yes—
657#384C2314yes—
658#383C2312yes—
659#383C2312yes—
660#383C2314yes—
661#383C2312yes—
662#383C2314yes—
663#383C2314yes—
664#383C2314yes—
665#383C2314yes—
666#382C2311yescharacteristic
667#382C2311yescharacteristic
668#382C2311yescharacteristic
669#382C2312yes—
670#382C2311yescharacteristic
671#382C2312yes—
672#382C2314yes—
673#382C2314yes—
674#382C2312yes—
675#382C2312yes—
676#382C2314yes—
677#382C2314yes—
678#382C2312yes—
679#382C2312yes—
680#382C2314yes—
681#382C2312yes—
682#382C2314yes—
683#382C2314yes—
684#382C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2314yes—
689#381C2312yes—
690#381C2314yes—
691#381C2314yes—
692#381C2314yes—
693#380C2311yescharacteristic
694#380C2311yescharacteristic
695#380C2311yescharacteristic
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2314yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2311yescharacteristic
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C23×C4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8#4118yes—
843#126—216no—
844#126—28no—
845#126—44no—
846#125—28no—
847#125—28no—
848#125—24no—
849#125—28no—
850#125—42no—
851#124—28no—
852#124—216no—
853#123—216no—
854#123—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—216no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—28no—
862C22⋊Q8—216no—
863C22⋊Q8—44no—
864C22⋊Q8—42no—
865C22⋊Q8—42no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868#121—24no—
869#121—28no—
870#121#4118yes—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—44no—
879C4×Q8—48no—
880C4×Q8—42no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—42no—
894C4×D4—44no—
895C4×D4—44no—
896#117—28no—
897#117—28no—
898#117—28no—
899#117—24no—
900#117—24no—
901C2×C4⋊C4—24no—
902C2×C4⋊C4—28no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—44no—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C42—24no—
1016C2×C42—24no—
1017C2×C42—44no—
1018C2×C42—44no—
1019C2×C42—48no—
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2414yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
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#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151C24C2511yescharacteristic
1152C24C2511yescharacteristic
1153C24C2512yes—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—28no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—24no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8C2×#4118yes—
1169C2×D4—22no—
1170C2×D4—24no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4C2×#4114yes—
1180C2×D4C2×#4118yes—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—28no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—28no—
1203C22×C4—24no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—42no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—44no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4C2×#4114yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2514yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2511yescharacteristic
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—28no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—28no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
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—42no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4C2×#4118yes—
1322C4⋊C4C2×#4118yes—
1323C4⋊C4C2×#4114yes—
1324C4⋊C42−1+414yes—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—22no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4C2×#4118yes—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—24no—
1369C42—24no—
1370C42—28no—
1371C42—28no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—28no—
1376C42—24no—
1377C42—22no—
1378C42—24no—
1379C42—28no—
1380C42—22no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—28no—
1385C42—22no—
1386C42—22no—
1387C42—24no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—44no—
1392C42—44no—
1393C42—42no—
1394C42—41no—
1395C42—42no—
1396C42—42no—
1397C42—42no—
1398C42—42no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C42—44no—
1403C42—42no—
1404C42C2×#4114yes—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—21no—
1409C23—21no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23C22×#4112yes—
1425C23C22×#4114yes—
1426C23C2611yescharacteristic
1427Q8—48no—
1428Q8—48no—
1429Q8—44no—
1430Q8—48no—
1431Q8—88no—
1432D4—28no—
1433D4—48no—
1434D4—44no—
1435D4—84no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—24no—
1448C2×C4—28no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—48no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—48no—
1525C2×C4—44no—
1526C2×C4—82no—
1527C2×C4—82no—
1528C2×C4—88no—
1529C2×C4—84no—
1530C2×C4—84no—
1531C2×C4—84no—
1532C2×C4—88no—
1533C2×C4C22×#4114yes—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4118yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C22×#4112yes—
1539C2×C4C22×#4112yes—
1540C2×C4C2×2−1+414yes—
1541C2×C4C2×2−1+412yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C2×C4#58512yes—
1545C22—22no—
1546C22—24no—
1547C22—24no—
1548C22—22no—
1549C22—22no—
1550C22—24no—
1551C22—42no—
1552C22—41no—
1553C22—42no—
1554C22—41no—
1555C22—41no—
1556C22—42no—
1557C22—42no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22C23×#4111yescharacteristic
1567C22C23×#4111yescharacteristic
1568C22C22×2−1+411yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C22C2×#58511yescharacteristic
1572C222−1+611yescharacteristic
1573C4—22no—
1574C4—28no—
1575C4—22no—
1576C4—24no—
1577C4—24no—
1578C4—22no—
1579C4—41no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—44no—
1591C4—41no—
1592C4—42no—
1593C4—41no—
1594C4—41no—
1595C4—42no—
1596C4—42no—
1597C4—44no—
1598C4—42no—
1599C4—41no—
1600C4—42no—
1601C4—41no—
1602C4—44no—
1603C4#348214yes—
1604C4#352414yes—
1605C2—42no—
1606C2—44no—
1607C2—81no—
1608C2C2×#348211yescharacteristic
1609C2#6278111yescharacteristic
1610C2C2×#352411yescharacteristic
1611C2#6295311yescharacteristic
1612C2#6299111yescharacteristic
1613C2#6299511yescharacteristic
1614C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59673C2semidirect
2. #59557C2semidirect
3. #59511C2semidirect
4. #59395C2semidirect
5. #59261C2semidirect
6. #59231C2semidirect
7. #59079C2semidirect
8. #59052C2semidirect
9. #45169C2semidirect
11. #43833C2semidirect
12. #43781C2semidirect
13. #40457C2semidirect
14. #40223C2semidirect
15. #40097C2semidirect
16. #39350C2semidirect
17. #39081C2semidirect
18. #38930C2semidirect
19. #36489C2semidirect
20. #36454C2semidirect
21. #36454C2semidirect
22. #36313C2semidirect
23. #36288C2semidirect
24. #36177C2semidirect
25. #36173C2semidirect
26. #36151C2semidirect
27. #35972C2semidirect
28. #35803C2semidirect
29. #34898C2semidirect
30. #34780C2semidirect
31. #34284C2semidirect
32. #34231C2semidirect
33. #34213C2semidirect
34. C4×#554C2semidirect

Maximal subgroups

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

subgroupindex
#596732
#595572
#595112
#593952
#592612
#592312
#590792
#590522
#451692
#450962
#438332
#437812
#404572
#402232
#400972
#393502
#390812
#389302
#364892
#364542
#363132
#362882
#361772
#361732
#361512
#359722
#358032
#348982
#347802
#342842
#342312
#342132
C4×#5542
C4×#5532