Finite Group Databasebeta

← #7681165

Subgroups — #7681165

Order 512.

4525 conjugacy classes of subgroups.

The subgroup lattice has 1587 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59893C212yesmaximal, complemented
2#59749C212yesmaximal, complemented
3#59717C212yesmaximal
4#59710C212yesmaximal
5#59671C212yesmaximal, complemented
6#59666C212yesmaximal, complemented
7#59508C212yesmaximal, complemented
8#59496C212yesmaximal, complemented
9#44744C214yesmaximal, complemented
10#44690C214yesmaximal, complemented
11#43301C214yesmaximal, complemented
12#43293C214yesmaximal, complemented
13#39293C212yesmaximal, complemented
14#39283C212yesmaximal, complemented
15#39203C211yesmaximal, characteristic, complemented
16#39200C212yesmaximal, complemented
17#39192C211yesmaximal, characteristic, complemented
18#39186C212yesmaximal, complemented
19#39139C211yesmaximal, characteristic
20#39125C211yesmaximal, characteristic
21#36497C211yesmaximal, characteristic, complemented
22#36481C211yesmaximal, characteristic, complemented
23#36480C211yesmaximal, characteristic, complemented
24#36474C211yesmaximal, characteristic, complemented
25#35637C212yesmaximal, complemented
26#35604C212yesmaximal, complemented
27#35314C212yesmaximal, complemented
28#35291C211yesmaximal, characteristic, complemented
29#34941C211yesmaximal, characteristic, complemented
30#34929C211yesmaximal, characteristic, complemented
31#34335C211yesmaximal, characteristic, complemented
32#34328C211yesmaximal, characteristic, complemented
33#34225C212yesmaximal, complemented
34#34151C211yesmaximal, characteristic
35C4×#541C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#541C2211yescharacteristic
39C2×#533C2212yes—
40C2×#529C2211yescharacteristic
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2862C2212yes—
45#2862C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2805C2214yes—
50#2802C2214yes—
51#2802C2214yes—
52#2802C2214yes—
53#2800C2214yes—
54#2800C2214yes—
55#2798C2214yes—
56#2777C2214yes—
57#2777C2214yes—
58#2773C2214yes—
59#2773C2214yes—
60#2772C2214yes—
61#2772C2214yes—
62#2766C2214yes—
63#2759C2214yes—
64#2758C2214yes—
65#2754C2214yes—
66#2754C2214yes—
67#2754C2214yes—
68#2725C2214yes—
69#2721C2214yes—
70#2716C2214yes—
71#2694C2214yes—
72#2674C2214yes—
73#2645C2212yes—
74#2628C2212yes—
75#2625C2212yes—
76#2625C2212yes—
77#2625C2212yes—
78#2621C2212yes—
79#2611C2214yes—
80#2606C2214yes—
81#2605C2214yes—
82#2604C2214yes—
83#2604C2214yes—
84#2601C2214yes—
85#2596C2214yes—
86#2596C2214yes—
87#2594C2214yes—
88#2592C2214yes—
89#2590C2214yes—
90#2588C2214yes—
91#2585C2214yes—
92#2582C2214yes—
93#2581C2214yes—
94#2574C2214yes—
95#2571C2212yes—
96#2570C2212yes—
97#2570C2212yes—
98#2567C2212yes—
99#2567C2211yescharacteristic
100#2565C2214yes—
101#2563C2211yescharacteristic
102#2560C2214yes—
103#2556C2214yes—
104#2556C2214yes—
105#2552C2212yes—
106#2552C2211yescharacteristic
107#2551C2211yescharacteristic
108#2550C2212yes—
109#2550C2212yes—
110#2550C2212yes—
111#2550C2214yes—
112#2550C2214yes—
113#2550C2212yes—
114#2547C2212yes—
115#2546C2212yes—
116#2546C2211yescharacteristic
117#2542C2212yes—
118#2542C2211yescharacteristic
119#2538C2211yescharacteristic
120#2538C2211yescharacteristic
121#2536C2212yes—
122#2536C2212yes—
123#2530C2214yes—
124#2529C2214yes—
125#2529C2214yes—
126#2529C2214yes—
127#2528C2214yes—
128#2525C2214yes—
129#2525C2214yes—
130#2524C2214yes—
131#2524C2214yes—
132#2523C2214yes—
133#2523C2214yes—
134#2522C2214yes—
135#2521C2214yes—
136#2520C2214yes—
137#2520C2214yes—
138#2520C2214yes—
139#2520C2214yes—
140#2519C2214yes—
141#2517C2214yes—
142#2517C2214yes—
143#2514C2212yes—
144#2513C2212yes—
145#2513C2212yes—
146#2513C2212yes—
147#2512C2212yes—
148#2511C2214yes—
149#2509C2212yes—
150#2509C2212yes—
151#2509C2212yes—
152#2508C2212yes—
153#2508C2212yes—
154#2507C2212yes—
155#2507C2212yes—
156#2506C2214yes—
157#2506C2212yes—
158#2497C2212yes—
159#2497C2212yes—
160#2496C2212yes—
161#2495C2212yes—
162#2494C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2491C2212yes—
166#2490C2212yes—
167#2489C2212yes—
168#2489C2212yes—
169#2478C2214yes—
170#2474C2214yes—
171#2469C2214yes—
172#2465C2214yes—
173#2462C2214yes—
174#2454C2212yes—
175#2453C2212yes—
176#2453C2212yes—
177#2452C2212yes—
178#2451C2212yes—
179#2448C2214yes—
180#2448C2212yes—
181#2448C2212yes—
182#2441C2212yes—
183#2439C2212yes—
184#2429C2212yes—
185#2429C2212yes—
186#2429C2212yes—
187#2423C2212yes—
188#2423C2212yes—
189#2423C2212yes—
190#2421C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2396C2214yes—
194#2396C2214yes—
195#2374C2212yes—
196#2374C2212yes—
197#2373C2212yes—
198#2373C2212yes—
199#2371C2214yes—
200#2370C2211yescharacteristic
201#2370C2212yes—
202#2370C2211yescharacteristic
203#2370C2214yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2214yes—
207#2369C2212yes—
208#2369C2211yescharacteristic
209#2367C2211yescharacteristic
210#2367C2211yescharacteristic
211#2365C2212yes—
212#2365C2212yes—
213#2365C2212yes—
214#2365C2211yescharacteristic
215#2365C2214yes—
216#2365C2212yes—
217#2363C2211yescharacteristic
218#2363C2211yescharacteristic
219#2362C2214yes—
220#2362C2214yes—
221#2362C2211yescharacteristic
222#2362C2211yescharacteristic
223#2356C2212yes—
224#2356C2212yes—
225#2356C2214yes—
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2212yes—
229#2355C2211yescharacteristic
230#2351C2212yes—
231#2351C2214yes—
232#2351C2212yes—
233#2351C2212yes—
234Q8×C4⋊C4C2211yescharacteristic
235#2347C2212yes—
236#2347C2214yes—
237#2347C2212yes—
238#2346C2214yes—
239#2336C2214yes—
240#2336C2212yes—
241#2336C2212yes—
242#2334C2212yes—
243#2334C2212yes—
244#2331C2212yes—
245#2331C2214yes—
246#2330C2211yescharacteristic
247#2327C2212yes—
248#2327C2211yescharacteristic
249#2323C2211yescharacteristic
250#2323C2212yes—
251#2323C2212yes—
252#2323C2211yescharacteristic
253#2323C2212yes—
254#2323C2212yes—
255#2323C2212yes—
256#2320C2211yescharacteristic
257#2320C2211yescharacteristic
258#2320C2212yes—
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2212yes—
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2212yes—
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#125C2212yes—
273C4×#125C2211yescharacteristic
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280#2298C2212yes—
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2295C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yes—
288#2290C2212yes—
289#2285C2212yes—
290#2276C2212yes—
291#2276C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299Q82—28no—
300#557—28no—
301#541—28no—
302#533—216no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313#529—28no—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#123C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×#121C2311yescharacteristic
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2314yes—
374C22×C42C2311yescharacteristic
375C22×C42C2312yes—
376#401C2314yes—
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#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#394C2314yes—
443#394C2314yes—
444#393C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#391C2314yes—
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2312yes—
453#391C2311yescharacteristic
454#391C2312yes—
455#391C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2314yes—
459#391C2312yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2314yes—
466#391C2314yes—
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#390C2314yes—
481#390C2312yes—
482#390C2312yes—
483#390C2311yescharacteristic
484#390C2311yescharacteristic
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#389C2311yescharacteristic
490#389C2311yescharacteristic
491#389C2312yes—
492#389C2312yes—
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2314yes—
513#389C2314yes—
514#389C2314yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
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#388C2314yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2312yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#384C2312yes—
675#384C2312yes—
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2314yes—
682#383C2312yes—
683#383C2312yes—
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2314yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C4⋊Q8—28no—
831C4⋊Q8—24no—
832C4⋊Q8—28no—
833C4⋊Q8—28no—
834C4⋊Q8—216no—
835C4⋊Q8—28no—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840#126—28no—
841#126—28no—
842#126—28no—
843#126—84no—
844#125—24no—
845#125—216no—
846#125—24no—
847#125—28no—
848#125—28no—
849#125—216no—
850#125—28no—
851#125—28no—
852#125—82no—
853#124—24no—
854#124—84no—
855#123—28no—
856C22⋊Q8—24no—
857C22⋊Q8—28no—
858C22⋊Q8—24no—
859C22⋊Q8—28no—
860C22⋊Q8—216no—
861C22⋊Q8—24no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—44no—
865C22⋊Q8—82no—
866#121—24no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—216no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—28no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—44no—
881C4×Q8—42no—
882C4×Q8—82no—
883C4×Q8—84no—
884C4×Q8—84no—
885C4×Q8—84no—
886C4×Q8#4118yes—
887C4×Q8#4118yes—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—28no—
892#117—24no—
893#117—24no—
894#117—28no—
895#117—216no—
896#117—24no—
897#117—44no—
898#117—42no—
899#117—84no—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C42—24no—
1014C2×C42—28no—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2414yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2511yescharacteristic
1151C24C2512yes—
1152C2×Q8—22no—
1153C2×Q8—28no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—28no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—28no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—44no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8—42no—
1170C2×Q8—44no—
1171C2×Q8C2×#4114yes—
1172C2×Q8C2×#4114yes—
1173C2×D4—22no—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C22×C4—24no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2514yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2514yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4C2×#4114yes—
1307C4⋊C4C2×#4114yes—
1308C4⋊C4C2×#4118yes—
1309C4⋊C4C2×#4118yes—
1310C4⋊C42−1+414yes—
1311C4⋊C42−1+414yes—
1312C22⋊C4—24no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C42—22no—
1344C42—24no—
1345C42—22no—
1346C42—24no—
1347C42—22no—
1348C42—24no—
1349C42—28no—
1350C42—22no—
1351C42—28no—
1352C42—24no—
1353C42—28no—
1354C42—24no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—22no—
1369C42—41no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—41no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—44no—
1380C42—42no—
1381C42—41no—
1382C42—44no—
1383C42—44no—
1384C42—42no—
1385C42—42no—
1386C42—42no—
1387C42—44no—
1388C42—44no—
1389C42—41no—
1390C42C2×#4114yes—
1391C42C2×#4114yes—
1392C42C2×#4118yes—
1393C42C2×#4118yes—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—22no—
1402C23—21no—
1403C23—22no—
1404C23—22no—
1405C23—21no—
1406C23—22no—
1407C23—21no—
1408C23C2611yescharacteristic
1409Q8—28no—
1410Q8—28no—
1411Q8—416no—
1412Q8—48no—
1413Q8—44no—
1414Q8—84no—
1415Q8—88no—
1416D4—44no—
1417D4—84no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—24no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—48no—
1503C2×C4—48no—
1504C2×C4—44no—
1505C2×C4—48no—
1506C2×C4—44no—
1507C2×C4—82no—
1508C2×C4C22×#4112yes—
1509C2×C4C22×#4114yes—
1510C2×C4C22×#4112yes—
1511C2×C4C22×#4112yes—
1512C2×C4C22×#4114yes—
1513C2×C4C22×#4114yes—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C2×2−1+414yes—
1519C2×C4C2×2−1+414yes—
1520C2×C4C2×2−1+412yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4#58512yes—
1523C22—42no—
1524C22—41no—
1525C22—42no—
1526C22—41no—
1527C22—41no—
1528C22—42no—
1529C22—41no—
1530C22—42no—
1531C22—41no—
1532C22—42no—
1533C22—41no—
1534C22—42no—
1535C22—41no—
1536C22—42no—
1537C22C23×#4111yescharacteristic
1538C22C23×#4111yescharacteristic
1539C22C22×2−1+411yescharacteristic
1540C22C22×2−1+411yescharacteristic
1541C22C2×#58511yescharacteristic
1542C22H(7,𝔽2)11yescharacteristic
1543C222−1+611yescharacteristic
1544C4—22no—
1545C4—24no—
1546C4—22no—
1547C4—24no—
1548C4—24no—
1549C4—24no—
1550C4—22no—
1551C4—24no—
1552C4—24no—
1553C4—41no—
1554C4—42no—
1555C4—41no—
1556C4—44no—
1557C4—41no—
1558C4—42no—
1559C4—41no—
1560C4—44no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—42no—
1565C4—42no—
1566C4—44no—
1567C4—41no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4#348014yes—
1576C4#350914yes—
1577C2—82no—
1578C2—81no—
1579C2C2×#348011yescharacteristic
1580C2C2×#350911yescharacteristic
1581C2#6285711yescharacteristic
1582C2#6295211yescharacteristic
1583C2#6295311yescharacteristic
1584C2#6299811yescharacteristic
1585C2#6300011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59893C2semidirect
2. #59749C2semidirect
5. #59671C2semidirect
6. #59666C2semidirect
7. #59508C2semidirect
8. #59496C2semidirect
9. #44744C2semidirect
10. #44690C2semidirect
11. #43301C2semidirect
12. #43293C2semidirect
13. #39293C2semidirect
14. #39283C2semidirect
15. #39203C2semidirect
16. #39200C2semidirect
17. #39192C2semidirect
18. #39186C2semidirect
21. #36497C2semidirect
22. #36481C2semidirect
23. #36480C2semidirect
24. #36474C2semidirect
25. #35637C2semidirect
26. #35604C2semidirect
27. #35314C2semidirect
28. #35291C2semidirect
29. #34941C2semidirect
30. #34929C2semidirect
31. #34335C2semidirect
32. #34328C2semidirect
33. #34225C2semidirect
35. C4×#541C2semidirect

Maximal subgroups

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

subgroupindex
#598932
#597492
#597172
#597102
#596712
#596662
#595082
#594962
#447442
#446902
#433012
#432932
#392932
#392832
#392032
#392002
#391922
#391862
#391392
#391252
#364972
#364812
#364802
#364742
#356372
#356042
#353142
#352912
#349412
#349292
#343352
#343282
#342252
#341512
C4×#5412