Finite Group Databasebeta

← #7654376

Subgroups — #7654376

Order 512.

4418 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42724C212yesmaximal, complemented
2#42531C212yesmaximal, complemented
3#41853C214yesmaximal, complemented
4#41846C214yesmaximal, complemented
5#40418C214yesmaximal, complemented
6#40106C212yesmaximal, complemented
7#39498C211yesmaximal, characteristic, complemented
8#39250C212yesmaximal, complemented
9#39081C212yesmaximal, complemented
10#39045C212yesmaximal, complemented
11#38955C211yesmaximal, characteristic, complemented
12#38921C211yesmaximal, characteristic, complemented
13#38908C211yesmaximal, characteristic
14#38253C212yesmaximal, complemented
15#38018C214yesmaximal, complemented
16#37947C212yesmaximal, complemented
17#37637C211yesmaximal, characteristic, complemented
18#37526C212yesmaximal, complemented
19#36599C211yesmaximal, characteristic, complemented
20#36590C211yesmaximal, characteristic, complemented
21#36526C212yesmaximal, complemented
22#36286C211yesmaximal, characteristic, complemented
23#36176C211yesmaximal, characteristic, complemented
24#36173C212yesmaximal, complemented
25#36039C212yesmaximal, complemented
26#35984C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35187C211yesmaximal, characteristic, complemented
29#35160C212yesmaximal, complemented
30#35036C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34780C212yesmaximal, complemented
33#34316C211yesmaximal, characteristic, complemented
34C4×#554C211yesmaximal, characteristic, complemented
35#34153C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2864C2212yes—
40#2863C2212yes—
41#2863C2212yes—
42#2862C2211yescharacteristic
43#2861C2212yes—
44#2859C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2212yes—
47#2857C2211yescharacteristic
48#2854C2212yes—
49#2852C2214yes—
50#2852C2214yes—
51#2835C2214yes—
52#2834C2214yes—
53#2831C2214yes—
54#2807C2214yes—
55#2796C2214yes—
56#2794C2214yes—
57#2788C2214yes—
58#2786C2214yes—
59#2776C2214yes—
60#2770C2214yes—
61#2767C2214yes—
62#2747C2214yes—
63#2747C2214yes—
64#2747C2214yes—
65#2746C2214yes—
66#2744C2214yes—
67#2739C2214yes—
68#2738C2214yes—
69#2737C2214yes—
70#2717C2214yes—
71#2706C2214yes—
72#2698C2214yes—
73#2695C2214yes—
74#2693C2214yes—
75#2687C2214yes—
76#2687C2214yes—
77#2680C2214yes—
78#2666C2214yes—
79#2666C2214yes—
80#2655C2214yes—
81#2655C2214yes—
82#2655C2214yes—
83#2649C2214yes—
84#2647C2212yes—
85#2645C2212yes—
86#2644C2212yes—
87#2643C2214yes—
88#2643C2214yes—
89#2637C2214yes—
90#2630C2214yes—
91#2629C2212yes—
92#2628C2212yes—
93#2625C2212yes—
94#2625C2212yes—
95#2625C2212yes—
96#2625C2212yes—
97#2621C2212yes—
98#2606C2214yes—
99#2605C2214yes—
100#2597C2214yes—
101#2594C2214yes—
102#2588C2214yes—
103#2587C2214yes—
104#2585C2214yes—
105#2584C2212yes—
106#2582C2211yescharacteristic
107#2581C2212yes—
108#2580C2212yes—
109#2578C2214yes—
110#2578C2214yes—
111#2578C2214yes—
112#2575C2214yes—
113#2574C2214yes—
114#2571C2211yescharacteristic
115#2570C2212yes—
116#2570C2214yes—
117#2569C2214yes—
118#2568C2211yescharacteristic
119#2567C2211yescharacteristic
120#2563C2211yescharacteristic
121#2557C2214yes—
122#2552C2211yescharacteristic
123#2552C2212yes—
124#2546C2211yescharacteristic
125#2538C2211yescharacteristic
126#2535C2212yes—
127#2532C2214yes—
128#2532C2212yes—
129#2531C2214yes—
130#2530C2214yes—
131#2530C2214yes—
132#2529C2212yes—
133#2525C2214yes—
134#2524C2214yes—
135#2524C2214yes—
136#2524C2214yes—
137#2523C2214yes—
138#2522C2214yes—
139#2522C2214yes—
140#2518C2214yes—
141#2517C2214yes—
142#2516C2214yes—
143#2515C2214yes—
144#2515C2214yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2513C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2512C2211yescharacteristic
153#2511C2212yes—
154#2511C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2509C2212yes—
158#2508C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2508C2212yes—
162#2508C2211yescharacteristic
163#2503C2212yes—
164#2497C2214yes—
165#2496C2212yes—
166#2496C2214yes—
167#2495C2212yes—
168#2495C2214yes—
169#2495C2211yescharacteristic
170#2495C2212yes—
171#2494C2212yes—
172#2494C2212yes—
173#2494C2214yes—
174#2493C2214yes—
175#2491C2211yescharacteristic
176#2489C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2488C2214yes—
180#2486C2212yes—
181#2486C2212yes—
182#2479C2212yes—
183#2474C2212yes—
184#2467C2214yes—
185#2454C2212yes—
186#2453C2212yes—
187#2451C2212yes—
188#2451C2211yescharacteristic
189#2448C2211yescharacteristic
190#2447C2212yes—
191#2446C2212yes—
192#2446C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yes—
198#2441C2212yes—
199#2432C2212yes—
200#2427C2212yes—
201#2426C2211yescharacteristic
202#2423C2211yescharacteristic
203#2422C2212yes—
204#2421C2212yes—
205#2421C2212yes—
206#2420C2212yes—
207#2420C2212yes—
208#2419C2214yes—
209#2417C2212yes—
210#2417C2212yes—
211#2415C2212yes—
212#2407C2212yes—
213#2402C2214yes—
214#2401C2214yes—
215#2396C2212yes—
216#2395C2212yes—
217#2374C2214yes—
218#2373C2212yes—
219#2373C2212yes—
220#2370C2212yes—
221#2370C2211yescharacteristic
222#2370C2211yescharacteristic
223#2370C2212yes—
224#2369C2211yescharacteristic
225#2368C2214yes—
226#2367C2211yescharacteristic
227#2367C2211yescharacteristic
228#2365C2211yescharacteristic
229#2363C2212yes—
230#2362C2212yes—
231#2362C2212yes—
232#2361C2211yescharacteristic
233#2361C2211yescharacteristic
234#2360C2212yes—
235#2360C2211yescharacteristic
236#2360C2211yescharacteristic
237#2359C2212yes—
238#2359C2212yes—
239#2356C2212yes—
240#2355C2211yescharacteristic
241#2355C2212yes—
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2352C2212yes—
245#2349C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247#2347C2212yes—
248#2346C2212yes—
249#2345C2212yes—
250#2345C2212yes—
251#2345C2212yes—
252#2341C2212yes—
253#2335C2214yes—
254#2335C2214yes—
255#2334C2214yes—
256#2327C2212yes—
257#2324C2212yes—
258#2323C2212yes—
259#2320C2212yes—
260#2320C2212yes—
261#2317C2212yes—
262#2317C2212yes—
263#2311C2212yes—
264#2311C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#126C2212yes—
271C4×#124C2211yescharacteristic
272C4×#124C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2214yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×#123C2214yes—
279C4×#121C2211yescharacteristic
280#2298C2212yes—
281#2297C2212yes—
282#2296C2212yes—
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2293C2211yescharacteristic
286#2293C2211yescharacteristic
287#2290C2212yes—
288#2283C2212yes—
289#2283C2214yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#554—28no—
301#547—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306#529—28no—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#124C2311yescharacteristic
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2312yes—
329C2×#121C2312yes—
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2312yes—
358C2×#117C2311yescharacteristic
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2314yes—
366C22×C42C2312yes—
367C22×C42C2312yes—
368#401C2314yes—
369#401C2314yes—
370#401C2314yes—
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#400C2312yes—
394#400C2312yes—
395#400C2314yes—
396#400C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2312yes—
400#399C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2312yes—
453#395C2314yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2312yes—
462#393C2314yes—
463#392C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2312yes—
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2311yescharacteristic
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
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#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2314yes—
678#384C2312yes—
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2311yescharacteristic
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2314yes—
713#380C2314yes—
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802#376C2311yescharacteristic
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806#376C2311yescharacteristic
807C2×#95C2312yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C2×#41—28no—
814C2×#41—44no—
815C2×#41—44no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2414yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—42no—
841C4⋊Q8—44no—
842#126—28no—
843#126—44no—
844#126—48no—
845#125—24no—
846#125—28no—
847#125—44no—
848#125—44no—
849#124—24no—
850#124—42no—
851#124—44no—
852#123—28no—
853#123—216no—
854#123—48no—
855#123—48no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—24no—
859C22⋊Q8—216no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—44no—
864#121—24no—
865#121—28no—
866#121—42no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—42no—
875C4×Q8—42no—
876C4×Q8—44no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—24no—
881C4×D4—42no—
882C4×D4—44no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4#4118yes—
887#117—28no—
888#117—28no—
889#117—44no—
890#117—44no—
891#117—42no—
892#117—42no—
893#117—44no—
894C2×C4⋊C4—28no—
895C2×C4⋊C4—28no—
896C2×C4⋊C4—24no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—42no—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C42—24no—
1016C2×C42—44no—
1017C2×C42—44no—
1018C2×C42—48no—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144C24C2512yes—
1145C24C2512yes—
1146C24C2511yescharacteristic
1147#41—816no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—28no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—42no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4C2×#4114yes—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—28no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—42no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—42no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4C2×#4118yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C22×C4C2511yescharacteristic
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
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—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4C2×#4114yes—
1318C4⋊C42−1+414yes—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—28no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—22no—
1333C22⋊C4—24no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—41no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4C2×#4118yes—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—28no—
1368C42—22no—
1369C42—22no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—24no—
1374C42—24no—
1375C42—28no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—24no—
1380C42—24no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—42no—
1385C42—42no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—42no—
1390C42—41no—
1391C42—44no—
1392C42—41no—
1393C42—41no—
1394C42—42no—
1395C42—42no—
1396C42—44no—
1397C42—42no—
1398C42—44no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42C2×#4114yes—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23C22×#4114yes—
1423C23#58512yes—
1424C23C2611yescharacteristic
1425Q8—44no—
1426Q8—44no—
1427Q8—48no—
1428Q8—84no—
1429Q8—84no—
1430D4—28no—
1431D4—48no—
1432D4—44no—
1433D4—84no—
1434D4—88no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—216no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—24no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—48no—
1526C2×C4—44no—
1527C2×C4—84no—
1528C2×C4—88no—
1529C2×C4—84no—
1530C2×C4—88no—
1531C2×C4—84no—
1532C2×C4—88no—
1533C2×C4C22×#4112yes—
1534C2×C4C22×#4114yes—
1535C2×C4C22×#4112yes—
1536C2×C4C22×#4112yes—
1537C2×C4C2×2−1+414yes—
1538C2×C4C2×2−1+412yes—
1539C2×C4#58512yes—
1540C2×C4#58512yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C22—22no—
1544C22—22no—
1545C22—24no—
1546C22—22no—
1547C22—24no—
1548C22—24no—
1549C22—42no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22—41no—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22C23×#4111yescharacteristic
1565C22C22×2−1+411yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22C2×#58511yescharacteristic
1569C22C2×#58511yescharacteristic
1570C22C2×#58511yescharacteristic
1571C4—22no—
1572C4—24no—
1573C4—24no—
1574C4—22no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—44no—
1587C4—42no—
1588C4—41no—
1589C4—41no—
1590C4—44no—
1591C4—41no—
1592C4—44no—
1593C4—42no—
1594C4—41no—
1595C4—42no—
1596C4—44no—
1597C4—42no—
1598C4—41no—
1599C4—42no—
1600C4—42no—
1601C4#346114yes—
1602C4#352114yes—
1603C2—42no—
1604C2—44no—
1605C2—82no—
1606C2C2×#346111yescharacteristic
1607C2C2×#352111yescharacteristic
1608C2#6281011yescharacteristic
1609C2#6302311yescharacteristic
1610C2#6302811yescharacteristic
1611C2#6303111yescharacteristic
1612C2#6303311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38908C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42724C2semidirect
2. #42531C2semidirect
3. #41853C2semidirect
4. #41846C2semidirect
5. #40418C2semidirect
6. #40106C2semidirect
7. #39498C2semidirect
8. #39250C2semidirect
9. #39081C2semidirect
10. #39045C2semidirect
11. #38955C2semidirect
12. #38921C2semidirect
14. #38253C2semidirect
15. #38018C2semidirect
16. #37947C2semidirect
17. #37637C2semidirect
18. #37526C2semidirect
19. #36599C2semidirect
20. #36590C2semidirect
21. #36526C2semidirect
22. #36286C2semidirect
23. #36176C2semidirect
24. #36173C2semidirect
25. #36039C2semidirect
26. #35984C2semidirect
27. #35291C2semidirect
28. #35187C2semidirect
29. #35160C2semidirect
30. #35036C2semidirect
31. #34974C2semidirect
32. #34780C2semidirect
33. #34316C2semidirect
34. C4×#554C2semidirect
35. #34153C2semidirect

Maximal subgroups

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

subgroupindex
#427242
#425312
#418532
#418462
#404182
#401062
#394982
#392502
#390812
#390452
#389552
#389212
#389082
#382532
#380182
#379472
#376372
#375262
#365992
#365902
#365262
#362862
#361762
#361732
#360392
#359842
#352912
#351872
#351602
#350362
#349742
#347802
#343162
C4×#5542
#341532