Finite Group Databasebeta

← #7657467

Subgroups — #7657467

Order 512.

4364 conjugacy classes of subgroups.

The subgroup lattice has 1593 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42833C212yesmaximal, complemented
2#42830C212yesmaximal, complemented
3#42582C212yesmaximal, complemented
4#42574C212yesmaximal, complemented
5#42268C214yesmaximal, complemented
6#42105C214yesmaximal, complemented
7#41309C214yesmaximal, complemented
8#41271C214yesmaximal, complemented
9#39820C212yesmaximal, complemented
10#39726C211yesmaximal, characteristic
11#39690C212yesmaximal, complemented
12#39597C211yesmaximal, characteristic, complemented
13#39182C211yesmaximal, characteristic, complemented
14#39168C211yesmaximal, characteristic, complemented
15#38241C212yesmaximal, complemented
16#38224C212yesmaximal, complemented
17#37638C211yesmaximal, characteristic, complemented
18#37629C211yesmaximal, characteristic, complemented
19#37628C212yesmaximal, complemented
20#37581C212yesmaximal, complemented
21#36587C211yesmaximal, characteristic
22#36564C211yesmaximal, characteristic, complemented
23#36300C211yesmaximal, characteristic, complemented
24#36285C211yesmaximal, characteristic, complemented
25#35974C212yesmaximal, complemented
26#35885C212yesmaximal, complemented
27#35884C212yesmaximal, complemented
28#35871C212yesmaximal, complemented
29#35299C212yesmaximal, complemented
30#35288C211yesmaximal, characteristic
31#34629C211yesmaximal, characteristic, complemented
32#34619C212yesmaximal, complemented
33#34335C211yesmaximal, characteristic, complemented
34#34331C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2863C2212yes—
40#2860C2212yes—
41#2859C2211yescharacteristic
42#2858C2211yescharacteristic
43#2857C2212yes—
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2850C2212yes—
47#2838C2214yes—
48#2836C2214yes—
49#2836C2214yes—
50#2833C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2807C2214yes—
54#2805C2214yes—
55#2787C2214yes—
56#2782C2214yes—
57#2772C2214yes—
58#2765C2214yes—
59#2765C2214yes—
60#2759C2214yes—
61#2757C2214yes—
62#2755C2214yes—
63#2747C2214yes—
64#2744C2214yes—
65#2732C2214yes—
66#2716C2214yes—
67#2713C2214yes—
68#2707C2214yes—
69#2704C2214yes—
70#2692C2214yes—
71#2690C2214yes—
72#2689C2214yes—
73#2681C2214yes—
74#2677C2214yes—
75#2674C2214yes—
76#2674C2214yes—
77#2665C2214yes—
78#2655C2212yes—
79#2655C2212yes—
80#2654C2214yes—
81#2654C2214yes—
82#2654C2214yes—
83#2654C2214yes—
84#2653C2214yes—
85#2652C2214yes—
86#2652C2212yes—
87#2652C2212yes—
88#2650C2214yes—
89#2650C2214yes—
90#2649C2214yes—
91#2647C2212yes—
92#2647C2212yes—
93#2647C2212yes—
94#2647C2211yescharacteristic
95#2645C2212yes—
96#2645C2212yes—
97#2645C2211yescharacteristic
98#2645C2211yescharacteristic
99#2644C2212yes—
100#2644C2212yes—
101#2644C2212yes—
102#2642C2211yescharacteristic
103#2640C2212yes—
104#2640C2212yes—
105#2640C2212yes—
106#2638C2214yes—
107#2634C2214yes—
108#2629C2211yescharacteristic
109#2628C2212yes—
110#2625C2214yes—
111#2625C2211yescharacteristic
112#2625C2211yescharacteristic
113#2624C2212yes—
114#2621C2211yescharacteristic
115#2621C2214yes—
116#2620C2212yes—
117#2606C2214yes—
118#2597C2214yes—
119#2596C2214yes—
120#2595C2214yes—
121#2594C2214yes—
122#2592C2212yes—
123#2590C2214yes—
124#2589C2214yes—
125#2589C2214yes—
126#2587C2214yes—
127#2586C2214yes—
128#2582C2211yescharacteristic
129#2582C2211yescharacteristic
130#2581C2212yes—
131#2578C2214yes—
132#2576C2214yes—
133#2573C2214yes—
134#2571C2211yescharacteristic
135#2571C2212yes—
136#2570C2212yes—
137#2568C2212yes—
138#2567C2211yescharacteristic
139#2567C2211yescharacteristic
140#2565C2212yes—
141#2560C2214yes—
142#2551C2211yescharacteristic
143#2551C2212yes—
144#2550C2212yes—
145#2550C2212yes—
146#2549C2214yes—
147#2549C2214yes—
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2546C2212yes—
151#2545C2212yes—
152#2545C2212yes—
153#2542C2212yes—
154#2538C2212yes—
155#2532C2214yes—
156#2532C2214yes—
157#2531C2214yes—
158#2530C2214yes—
159#2527C2214yes—
160#2527C2214yes—
161#2525C2214yes—
162#2521C2214yes—
163#2514C2212yes—
164#2514C2212yes—
165#2513C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2513C2212yes—
169#2512C2212yes—
170#2508C2212yes—
171#2507C2212yes—
172#2507C2212yes—
173#2507C2212yes—
174#2506C2212yes—
175#2506C2212yes—
176#2504C2212yes—
177#2493C2214yes—
178#2492C2214yes—
179#2492C2212yes—
180#2490C2212yes—
181#2478C2214yes—
182#2477C2214yes—
183#2475C2214yes—
184#2474C2214yes—
185#2454C2214yes—
186#2454C2212yes—
187#2454C2212yes—
188#2453C2212yes—
189#2452C2212yes—
190#2452C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2452C2212yes—
194#2451C2212yes—
195#2450C2214yes—
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2446C2212yes—
205#2446C2212yes—
206#2444C2214yes—
207#2440C2212yes—
208#2438C2214yes—
209#2429C2214yes—
210#2427C2212yes—
211#2427C2212yes—
212#2426C2212yes—
213#2426C2212yes—
214#2423C2212yes—
215#2421C2214yes—
216#2420C2212yes—
217#2402C2212yes—
218#2402C2212yes—
219#2401C2214yes—
220#2401C2212yes—
221#2401C2212yes—
222#2398C2214yes—
223#2396C2214yes—
224#2395C2214yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2212yes—
229#2369C2211yescharacteristic
230#2369C2211yescharacteristic
231#2369C2212yes—
232#2369C2211yescharacteristic
233#2368C2212yes—
234#2368C2212yes—
235#2367C2212yes—
236#2367C2212yes—
237#2367C2212yes—
238#2366C2211yescharacteristic
239#2365C2212yes—
240#2365C2214yes—
241#2365C2211yescharacteristic
242#2365C2211yescharacteristic
243#2361C2212yes—
244#2360C2211yescharacteristic
245#2360C2211yescharacteristic
246#2360C2211yescharacteristic
247#2360C2211yescharacteristic
248#2359C2214yes—
249#2357C2212yes—
250#2356C2212yes—
251#2355C2211yescharacteristic
252#2355C2212yes—
253#2355C2211yescharacteristic
254#2354C2212yes—
255#2354C2212yes—
256#2351C2212yes—
257Q8×C4⋊C4C2211yescharacteristic
258Q8×C4⋊C4C2211yescharacteristic
259#2349C2212yes—
260#2345C2212yes—
261#2335C2214yes—
262#2331C2212yes—
263#2331C2214yes—
264#2331C2212yes—
265#2326C2212yes—
266#2326C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2323C2212yes—
270#2319C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×#127C2211yescharacteristic
275C4×#125C2211yescharacteristic
276C4×#124C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×#121C2212yes—
281#2296C2212yes—
282#2295C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2295C2212yes—
288#2295C2212yes—
289#2295C2212yes—
290#2293C2212yes—
291#2293C2212yes—
292#2276C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#559—28no—
300Q82—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×#127C2311yescharacteristic
313C2×#126C2314yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×#117C2312yes—
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2314yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2312yes—
371#401C2314yes—
372#401C2314yes—
373#401C2312yes—
374#401C2312yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#391C2311yescharacteristic
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2312yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#383C2314yes—
709#383C2314yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#382C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2314yes—
726#380C2312yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2311yescharacteristic
807C2×#95C2314yes—
808C2×#95C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×D4C2412yes—
822C22×D4C2412yes—
823C22×D4C2414yes—
824C22×D4C2412yes—
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2414yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2414yes—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—28no—
836C4⋊Q8—216no—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—42no—
842C4⋊Q8—84no—
843#127—24no—
844#126—84no—
845#125—28no—
846#125—42no—
847#125—44no—
848#125—84no—
849#124—28no—
850#124—28no—
851#124—44no—
852#124—44no—
853#124—82no—
854#124—82no—
855#123—216no—
856C22⋊Q8—24no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—24no—
860C22⋊Q8—28no—
861C22⋊Q8—84no—
862C22⋊Q8—84no—
863C22⋊Q8—84no—
864C22⋊Q8—82no—
865C22⋊Q8—84no—
866C22⋊Q8—84no—
867#121—28no—
868#121—44no—
869#121—82no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—44no—
881C4×Q8—42no—
882C4×Q8—84no—
883C4×Q8—82no—
884C4×Q8#4118yes—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—44no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—82no—
892C4×D4—84no—
893#117—24no—
894#117—28no—
895#117—42no—
896#117—84no—
897#117—84no—
898C2×C4⋊C4—24no—
899C2×C4⋊C4—42no—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C42—24no—
1015C2×C42—44no—
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145C24C2514yes—
1146C24C2511yescharacteristic
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—28no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8C2×#4114yes—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—24no—
1179C2×D4—44no—
1180C2×D4—42no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—28no—
1190C22×C4—24no—
1191C22×C4—28no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—42no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C42−1+414yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—42no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4C2×#4114yes—
1317C4⋊C4C2×#4118yes—
1318C4⋊C42−1+414yes—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—24no—
1358C42—24no—
1359C42—28no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—24no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—42no—
1376C42—42no—
1377C42—42no—
1378C42—42no—
1379C42—44no—
1380C42—44no—
1381C42—41no—
1382C42—44no—
1383C42—44no—
1384C42—42no—
1385C42—44no—
1386C42—42no—
1387C42—42no—
1388C42—41no—
1389C42—44no—
1390C42—41no—
1391C42—41no—
1392C42—42no—
1393C42C2×#4114yes—
1394C42C2×#4118yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—24no—
1402C23—24no—
1403C23—24no—
1404C23—24no—
1405C23—24no—
1406C23—24no—
1407C23—24no—
1408C23C2×2−1+412yes—
1409C23C2611yescharacteristic
1410Q8—28no—
1411Q8—44no—
1412Q8—44no—
1413Q8—44no—
1414Q8—84no—
1415Q8—88no—
1416Q8—84no—
1417Q8—164no—
1418D4—48no—
1419D4—48no—
1420D4—84no—
1421D4—88no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—28no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
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—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—44no—
1512C2×C4—88no—
1513C2×C4—82no—
1514C2×C4—84no—
1515C2×C4—88no—
1516C2×C4—84no—
1517C2×C4—164no—
1518C2×C4C22×#4114yes—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4114yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C2×2−1+414yes—
1524C2×C4C2×2−1+412yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4#58512yes—
1528C2×C4#58512yes—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—44no—
1537C22—44no—
1538C22—44no—
1539C22—44no—
1540C22—44no—
1541C22—44no—
1542C22—44no—
1543C22C23×#4111yescharacteristic
1544C22C22×2−1+411yescharacteristic
1545C22C22×2−1+411yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22C2×#58511yescharacteristic
1548C22H(7,𝔽2)11yescharacteristic
1549C22H(7,𝔽2)11yescharacteristic
1550C4—22no—
1551C4—24no—
1552C4—22no—
1553C4—24no—
1554C4—24no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—44no—
1562C4—41no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—42no—
1567C4—41no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—42no—
1574C4—44no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—44no—
1580C4—42no—
1581C4#346114yes—
1582C4#351614yes—
1583C2—42no—
1584C2—84no—
1585C2C2×#346111yescharacteristic
1586C2C2×#351611yescharacteristic
1587C2#6285811yescharacteristic
1588C2#6294311yescharacteristic
1589C2#6295111yescharacteristic
1590C2#6296211yescharacteristic
1591C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2856C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42833C2semidirect
2. #42830C2semidirect
3. #42582C2semidirect
4. #42574C2semidirect
5. #42268C2semidirect
6. #42105C2semidirect
7. #41309C2semidirect
8. #41271C2semidirect
9. #39820C2semidirect
11. #39690C2semidirect
12. #39597C2semidirect
13. #39182C2semidirect
14. #39168C2semidirect
15. #38241C2semidirect
16. #38224C2semidirect
17. #37638C2semidirect
18. #37629C2semidirect
19. #37628C2semidirect
20. #37581C2semidirect
22. #36564C2semidirect
23. #36300C2semidirect
24. #36285C2semidirect
25. #35974C2semidirect
26. #35885C2semidirect
27. #35884C2semidirect
28. #35871C2semidirect
29. #35299C2semidirect
31. #34629C2semidirect
32. #34619C2semidirect
33. #34335C2semidirect
34. #34331C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#428332
#428302
#425822
#425742
#422682
#421052
#413092
#412712
#398202
#397262
#396902
#395972
#391822
#391682
#382412
#382242
#376382
#376292
#376282
#375812
#365872
#365642
#363002
#362852
#359742
#358852
#358842
#358712
#352992
#352882
#346292
#346192
#343352
#343312
#341452