Finite Group Databasebeta

← #7680468

Subgroups — #7680468

Order 512.

4571 conjugacy classes of subgroups.

The subgroup lattice has 1592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59583C212yesmaximal, complemented
2#59565C212yesmaximal, complemented
3#59547C212yesmaximal, complemented
4#59501C212yesmaximal, complemented
5#59482C212yesmaximal
6#59479C212yesmaximal
7#59461C212yesmaximal, complemented
8#59447C212yesmaximal, complemented
9#44754C214yesmaximal, complemented
10#44704C214yesmaximal, complemented
11#44395C214yesmaximal, complemented
12#44357C214yesmaximal, complemented
13#39753C211yesmaximal, characteristic, complemented
14#39619C211yesmaximal, characteristic, complemented
15#38933C211yesmaximal, characteristic, complemented
16#38933C212yesmaximal, complemented
17#38931C211yesmaximal, characteristic, complemented
18#38927C212yesmaximal, complemented
19#37962C212yesmaximal, complemented
20#37765C212yesmaximal, complemented
21#36505C211yesmaximal, characteristic
22#36456C211yesmaximal, characteristic
23#36175C211yesmaximal, characteristic, complemented
24#36134C211yesmaximal, characteristic, complemented
25#35655C212yesmaximal, complemented
26#35609C212yesmaximal, complemented
27#35304C212yesmaximal, complemented
28#35283C211yesmaximal, characteristic, complemented
29#34945C211yesmaximal, characteristic, complemented
30#34941C211yesmaximal, characteristic, complemented
31#34337C211yesmaximal, characteristic, complemented
32#34335C211yesmaximal, characteristic, complemented
33#34221C212yesmaximal, complemented
34#34123C211yesmaximal, characteristic
35C4×#541C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#541C2211yescharacteristic
39C2×#533C2212yes—
40C2×C4×#41C2211yescharacteristic
41#2868C2211yescharacteristic
42#2862C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2212yes—
45#2857C2211yescharacteristic
46#2857C2212yes—
47#2851C2212yes—
48#2851C2212yes—
49#2791C2214yes—
50#2770C2214yes—
51#2769C2214yes—
52#2768C2214yes—
53#2767C2214yes—
54#2766C2214yes—
55#2766C2214yes—
56#2766C2214yes—
57#2762C2214yes—
58#2759C2214yes—
59#2758C2214yes—
60#2745C2214yes—
61#2740C2214yes—
62#2738C2214yes—
63#2738C2214yes—
64#2738C2214yes—
65#2723C2214yes—
66#2721C2214yes—
67#2720C2214yes—
68#2719C2214yes—
69#2713C2214yes—
70#2713C2214yes—
71#2713C2214yes—
72#2698C2214yes—
73#2660C2212yes—
74#2660C2212yes—
75#2647C2212yes—
76#2647C2212yes—
77#2647C2212yes—
78#2628C2212yes—
79#2612C2214yes—
80#2612C2214yes—
81#2606C2214yes—
82#2605C2214yes—
83#2604C2214yes—
84#2595C2214yes—
85#2594C2214yes—
86#2590C2214yes—
87#2589C2214yes—
88#2575C2214yes—
89#2574C2214yes—
90#2573C2214yes—
91#2571C2211yescharacteristic
92#2570C2212yes—
93#2570C2212yes—
94#2569C2214yes—
95#2568C2212yes—
96#2568C2211yescharacteristic
97#2567C2211yescharacteristic
98#2565C2212yes—
99#2565C2212yes—
100#2565C2214yes—
101#2565C2212yes—
102#2563C2212yes—
103#2563C2211yescharacteristic
104#2562C2212yes—
105#2560C2214yes—
106#2552C2212yes—
107#2552C2211yescharacteristic
108#2552C2212yes—
109#2550C2212yes—
110#2549C2214yes—
111#2547C2211yescharacteristic
112#2542C2212yes—
113#2538C2212yes—
114#2538C2211yescharacteristic
115#2538C2211yescharacteristic
116#2536C2212yes—
117#2532C2214yes—
118#2532C2214yes—
119#2531C2214yes—
120#2528C2214yes—
121#2528C2214yes—
122#2528C2214yes—
123#2527C2214yes—
124#2527C2214yes—
125#2524C2214yes—
126#2524C2214yes—
127#2524C2214yes—
128#2523C2214yes—
129#2522C2214yes—
130#2519C2214yes—
131#2516C2214yes—
132#2515C2214yes—
133#2514C2212yes—
134#2514C2214yes—
135#2514C2212yes—
136#2514C2212yes—
137#2511C2212yes—
138#2511C2212yes—
139#2508C2212yes—
140#2508C2212yes—
141#2506C2212yes—
142#2497C2212yes—
143#2496C2212yes—
144#2496C2212yes—
145#2495C2212yes—
146#2495C2212yes—
147#2494C2212yes—
148#2494C2212yes—
149#2494C2212yes—
150#2492C2212yes—
151#2492C2212yes—
152#2489C2212yes—
153#2489C2214yes—
154#2479C2214yes—
155#2479C2214yes—
156#2475C2214yes—
157#2475C2214yes—
158#2475C2214yes—
159#2469C2214yes—
160#2465C2214yes—
161#2462C2214yes—
162#2460C2214yes—
163#2454C2212yes—
164#2452C2214yes—
165#2452C2212yes—
166#2451C2212yes—
167#2451C2212yes—
168#2451C2212yes—
169#2451C2212yes—
170#2451C2212yes—
171#2447C2212yes—
172#2447C2212yes—
173#2446C2212yes—
174#2446C2212yes—
175#2446C2212yes—
176#2441C2214yes—
177#2439C2214yes—
178#2439C2212yes—
179#2438C2214yes—
180#2438C2214yes—
181#2432C2212yes—
182#2429C2214yes—
183#2423C2212yes—
184#2423C2212yes—
185#2423C2212yes—
186#2423C2214yes—
187#2423C2212yes—
188#2423C2212yes—
189#2423C2212yes—
190#2423C2212yes—
191#2421C2212yes—
192#2421C2212yes—
193#2401C2214yes—
194#2396C2214yes—
195#2371C2214yes—
196#2371C2214yes—
197#2370C2212yes—
198#2370C2214yes—
199#2369C2211yescharacteristic
200#2369C2212yes—
201#2368C2214yes—
202#2368C2214yes—
203#2367C2212yes—
204#2367C2212yes—
205#2365C2212yes—
206#2365C2211yescharacteristic
207#2365C2214yes—
208#2365C2212yes—
209#2365C2212yes—
210#2362C2212yes—
211#2356C2211yescharacteristic
212#2356C2212yes—
213#2356C2211yescharacteristic
214#2356C2214yes—
215#2356C2214yes—
216#2355C2212yes—
217#2355C2211yescharacteristic
218#2354C2212yes—
219#2353C2212yes—
220#2353C2212yes—
221#2351C2212yes—
222#2351C2212yes—
223Q8×C4⋊C4C2211yescharacteristic
224Q8×C4⋊C4C2211yescharacteristic
225Q8×C4⋊C4C2212yes—
226Q8×C4⋊C4C2212yes—
227Q8×C4⋊C4C2211yescharacteristic
228#2349C2211yescharacteristic
229#2349C2211yescharacteristic
230#2346C2211yescharacteristic
231#2346C2211yescharacteristic
232#2343C2214yes—
233#2343C2212yes—
234#2343C2212yes—
235#2343C2214yes—
236#2341C2212yes—
237#2339C2211yescharacteristic
238#2339C2211yescharacteristic
239#2336C2212yes—
240#2336C2212yes—
241#2334C2212yes—
242#2334C2212yes—
243#2331C2212yes—
244#2331C2214yes—
245#2331C2212yes—
246#2331C2212yes—
247#2330C2212yes—
248#2330C2214yes—
249#2330C2211yescharacteristic
250#2327C2211yescharacteristic
251#2327C2212yes—
252#2323C2211yescharacteristic
253#2323C2211yescharacteristic
254#2320C2211yescharacteristic
255#2320C2212yes—
256#2320C2212yes—
257#2320C2211yescharacteristic
258#2314C2212yes—
259#2314C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×#125C2212yes—
266C4×#125C2212yes—
267C4×#125C2211yescharacteristic
268C4×#125C2212yes—
269C4×#126C2212yes—
270C4×#126C2212yes—
271C4×#124C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278#2295C2211yescharacteristic
279#2295C2212yes—
280#2295C2212yes—
281#2295C2211yescharacteristic
282#2295C2212yes—
283#2293C2212yes—
284#2290C2212yes—
285#2290C2212yes—
286#2285C2212yes—
287#2283C2212yes—
288#2283C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
291#2276C2212yes—
292#2276C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×#376C2212yes—
299C22×#41C2311yescharacteristic
300Q82—28no—
301#557—28no—
302#541—28no—
303#533—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C4×#41—28no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2314yes—
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C22×C42C2312yes—
371C22×C42C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374#401C2314yes—
375#401C2314yes—
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#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
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#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
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#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#394C2314yes—
441#394C2314yes—
442#393C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#391C2314yes—
447#391C2311yescharacteristic
448#391C2312yes—
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2314yes—
453#391C2311yescharacteristic
454#391C2312yes—
455#391C2312yes—
456#391C2314yes—
457#391C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2314yes—
462#391C2312yes—
463#391C2311yescharacteristic
464#391C2311yescharacteristic
465#391C2314yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2314yes—
471#391C2311yescharacteristic
472#391C2311yescharacteristic
473#391C2314yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#389C2312yes—
487#389C2311yescharacteristic
488#389C2311yescharacteristic
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2312yes—
496#389C2312yes—
497#389C2314yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2314yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2314yes—
570#387C2312yes—
571#387C2312yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#384C2312yes—
655#384C2311yescharacteristic
656#384C2312yes—
657#384C2311yescharacteristic
658#384C2311yescharacteristic
659#384C2312yes—
660#384C2314yes—
661#384C2312yes—
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2312yes—
666#383C2312yes—
667#383C2312yes—
668#383C2314yes—
669#383C2314yes—
670#383C2314yes—
671#383C2312yes—
672#383C2312yes—
673#383C2312yes—
674#383C2314yes—
675#383C2314yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2312yes—
680#382C2314yes—
681#382C2311yescharacteristic
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2314yes—
689#382C2314yes—
690#382C2314yes—
691#382C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#381C2314yes—
696#381C2312yes—
697#381C2312yes—
698#381C2314yes—
699#381C2312yes—
700#380C2311yescharacteristic
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C22⋊C4C2311yescharacteristic
776C4×C22⋊C4C2311yescharacteristic
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794#376C2312yes—
795#376C2311yescharacteristic
796#376C2311yescharacteristic
797#376C2312yes—
798#376C2312yes—
799#376C2314yes—
800#376C2314yes—
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2414yes—
823C22×Q8C2414yes—
824C22×Q8C2412yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C4⋊Q8—28no—
838C4⋊Q8—28no—
839C4⋊Q8—216no—
840C4⋊Q8—28no—
841C4⋊Q8—24no—
842C4⋊Q8—28no—
843C4⋊Q8—24no—
844C4⋊Q8—44no—
845C4⋊Q8—82no—
846C4⋊Q8#4118yescomplemented
847#126—28no—
848#126—28no—
849#126—84no—
850#125—216no—
851#125—28no—
852#125—28no—
853#125—216no—
854#125—24no—
855#125—28no—
856#125—44no—
857#125—84no—
858#124—28no—
859C22⋊Q8—28no—
860C22⋊Q8—28no—
861C22⋊Q8—24no—
862C22⋊Q8—24no—
863C22⋊Q8—216no—
864C22⋊Q8—44no—
865C22⋊Q8—84no—
866C22⋊Q8—84no—
867C22⋊Q8—82no—
868C4×Q8—24no—
869C4×Q8—28no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—216no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—24no—
878C4×Q8—28no—
879C4×Q8—24no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—44no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—82no—
886C4×Q8—84no—
887C4×Q8#4118yes—
888C4×D4—24no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—24no—
894C4×D4—42no—
895C4×D4—42no—
896#117—24no—
897#117—28no—
898#117—216no—
899#117—24no—
900#117—24no—
901#117—84no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C42—28no—
1008C2×C42—24no—
1009C2×C42—28no—
1010C2×C42—28no—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
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#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150C24C2511yescharacteristic
1151C24C2512yes—
1152#41—416no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—28no—
1157C2×Q8—28no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—22no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—42no—
1170C2×Q8—44no—
1171C2×Q8C2×#4114yes—
1172C2×Q8C2×#4114yes—
1173C2×Q8C2×#4114yes—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—42no—
1179C2×D42−1+414yes—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2514yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2514yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—24no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4C2×#4118yes—
1318C4⋊C4C2×#4114yes—
1319C4⋊C4C2×#4118yes—
1320C4⋊C4C2×#4118yes—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C42—22no—
1349C42—24no—
1350C42—22no—
1351C42—24no—
1352C42—22no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—28no—
1357C42—28no—
1358C42—22no—
1359C42—28no—
1360C42—24no—
1361C42—28no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—22no—
1369C42—22no—
1370C42—22no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—41no—
1378C42—42no—
1379C42—41no—
1380C42—42no—
1381C42—42no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—41no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—41no—
1391C42C2×#4114yes—
1392C42C2×#4118yes—
1393C42C2×#4114yes—
1394C422−1+414yes—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23C2×2−1+414yes—
1409C23C2611yescharacteristic
1410Q8—28no—
1411Q8—28no—
1412Q8—28no—
1413Q8—48no—
1414Q8—88no—
1415Q8—84no—
1416Q8—88no—
1417D4—28no—
1418D4—48no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—48no—
1504C2×C4—48no—
1505C2×C4—48no—
1506C2×C4—48no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—84no—
1510C2×C4—84no—
1511C2×C4—82no—
1512C2×C4—84no—
1513C2×C4C22×#4114yes—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4114yes—
1516C2×C4C22×#4114yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4112yes—
1521C2×C4C22×#4112yes—
1522C2×C4C22×#4112yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4C2×2−1+412yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4#58512yes—
1528C22—24no—
1529C22—24no—
1530C22—24no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22C23×#4111yescharacteristic
1543C22C23×#4111yescharacteristic
1544C22C22×2−1+411yescharacteristic
1545C22C22×2−1+411yescharacteristic
1546C22C2×#58511yescharacteristic
1547C22H(7,𝔽2)11yescharacteristic
1548C222−1+611yescharacteristic
1549C4—22no—
1550C4—22no—
1551C4—24no—
1552C4—22no—
1553C4—24no—
1554C4—22no—
1555C4—22no—
1556C4—24no—
1557C4—24no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—41no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—44no—
1566C4—41no—
1567C4—44no—
1568C4—42no—
1569C4—41no—
1570C4—44no—
1571C4—42no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—41no—
1580C4#348214yes—
1581C4#349514yes—
1582C2—44no—
1583C2—81no—
1584C2C2×#348211yescharacteristic
1585C2C2×#349511yescharacteristic
1586C2#6285711yescharacteristic
1587C2#6294511yescharacteristic
1588C2#6295911yescharacteristic
1589C2#6299811yescharacteristic
1590C2#6300611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59583C2semidirect
2. #59565C2semidirect
3. #59547C2semidirect
4. #59501C2semidirect
7. #59461C2semidirect
8. #59447C2semidirect
9. #44754C2semidirect
10. #44704C2semidirect
11. #44395C2semidirect
12. #44357C2semidirect
13. #39753C2semidirect
14. #39619C2semidirect
15. #38933C2semidirect
16. #38933C2semidirect
17. #38931C2semidirect
18. #38927C2semidirect
19. #37962C2semidirect
20. #37765C2semidirect
23. #36175C2semidirect
24. #36134C2semidirect
25. #35655C2semidirect
26. #35609C2semidirect
27. #35304C2semidirect
28. #35283C2semidirect
29. #34945C2semidirect
30. #34941C2semidirect
31. #34337C2semidirect
32. #34335C2semidirect
33. #34221C2semidirect
35. C4×#541C2semidirect
846. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#595832
#595652
#595472
#595012
#594822
#594792
#594612
#594472
#447542
#447042
#443952
#443572
#397532
#396192
#389332
#389312
#389272
#379622
#377652
#365052
#364562
#361752
#361342
#356552
#356092
#353042
#352832
#349452
#349412
#343372
#343352
#342212
#341232
C4×#5412