Finite Group Databasebeta

← #7681130

Subgroups — #7681130

Order 512.

4587 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59895C212yesmaximal, complemented
2#59709C212yesmaximal, complemented
3#59665C212yesmaximal, complemented
4#59587C212yesmaximal, complemented
5#59583C212yesmaximal, complemented
6#59565C212yesmaximal, complemented
7#59509C212yesmaximal
8#59497C212yesmaximal
9#44400C214yesmaximal, complemented
10#44366C214yesmaximal, complemented
11#43739C214yesmaximal, complemented
12#43731C214yesmaximal, complemented
13#38986C211yesmaximal, characteristic, complemented
14#38976C211yesmaximal, characteristic, complemented
15#38921C211yesmaximal, characteristic
16#38911C211yesmaximal, characteristic
17#38261C212yesmaximal, complemented
18#38251C212yesmaximal, complemented
19#38128C212yesmaximal, complemented
20#38111C212yesmaximal, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36288C211yesmaximal, characteristic, complemented
23#36287C211yesmaximal, characteristic, complemented
24#36276C211yesmaximal, characteristic, complemented
25#35671C212yesmaximal, complemented
26#35599C212yesmaximal, complemented
27#35291C211yesmaximal, characteristic, complemented
28#35291C212yesmaximal, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34950C211yesmaximal, characteristic, complemented
31#34317C211yesmaximal, characteristic, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34254C212yesmaximal, complemented
34#34151C211yesmaximal, characteristic
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#541C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×#519C2212yes—
41#2862C2211yescharacteristic
42#2862C2212yes—
43#2859C2211yescharacteristic
44#2859C2212yes—
45#2857C2211yescharacteristic
46#2857C2212yes—
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2799C2214yes—
50#2799C2214yes—
51#2798C2214yes—
52#2791C2214yes—
53#2789C2214yes—
54#2789C2214yes—
55#2787C2214yes—
56#2781C2214yes—
57#2779C2214yes—
58#2771C2214yes—
59#2770C2214yes—
60#2767C2214yes—
61#2766C2214yes—
62#2765C2214yes—
63#2759C2214yes—
64#2758C2214yes—
65#2755C2214yes—
66#2745C2214yes—
67#2744C2214yes—
68#2719C2214yes—
69#2698C2214yes—
70#2689C2214yes—
71#2687C2214yes—
72#2680C2214yes—
73#2645C2212yes—
74#2645C2212yes—
75#2645C2212yes—
76#2625C2212yes—
77#2625C2212yes—
78#2625C2212yes—
79#2612C2214yes—
80#2612C2214yes—
81#2611C2214yes—
82#2611C2214yes—
83#2605C2214yes—
84#2604C2214yes—
85#2601C2214yes—
86#2594C2214yes—
87#2594C2214yes—
88#2590C2214yes—
89#2586C2214yes—
90#2585C2214yes—
91#2585C2214yes—
92#2584C2214yes—
93#2582C2211yescharacteristic
94#2582C2211yescharacteristic
95#2574C2214yes—
96#2574C2214yes—
97#2573C2214yes—
98#2571C2212yes—
99#2570C2212yes—
100#2568C2211yescharacteristic
101#2567C2211yescharacteristic
102#2567C2211yescharacteristic
103#2558C2214yes—
104#2556C2214yes—
105#2556C2214yes—
106#2552C2212yes—
107#2552C2211yescharacteristic
108#2551C2211yescharacteristic
109#2550C2212yes—
110#2550C2212yes—
111#2550C2212yes—
112#2549C2214yes—
113#2549C2214yes—
114#2546C2211yescharacteristic
115#2532C2214yes—
116#2528C2214yes—
117#2527C2214yes—
118#2527C2214yes—
119#2525C2214yes—
120#2520C2214yes—
121#2515C2214yes—
122#2514C2212yes—
123#2514C2212yes—
124#2514C2212yes—
125#2514C2212yes—
126#2514C2214yes—
127#2514C2212yes—
128#2511C2212yes—
129#2511C2212yes—
130#2509C2212yes—
131#2509C2212yes—
132#2509C2214yes—
133#2509C2214yes—
134#2508C2212yes—
135#2508C2212yes—
136#2508C2212yes—
137#2508C2214yes—
138#2507C2212yes—
139#2507C2212yes—
140#2506C2212yes—
141#2506C2212yes—
142#2506C2214yes—
143#2506C2212yes—
144#2502C2212yes—
145#2498C2214yes—
146#2497C2212yes—
147#2495C2212yes—
148#2495C2214yes—
149#2494C2212yes—
150#2494C2214yes—
151#2493C2214yes—
152#2492C2212yes—
153#2492C2212yes—
154#2489C2212yes—
155#2489C2214yes—
156#2489C2212yes—
157#2488C2214yes—
158#2486C2212yes—
159#2479C2214yes—
160#2475C2214yes—
161#2475C2214yes—
162#2469C2214yes—
163#2462C2214yes—
164#2458C2214yes—
165#2454C2212yes—
166#2453C2214yes—
167#2453C2214yes—
168#2453C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2452C2212yes—
172#2451C2212yes—
173#2451C2212yes—
174#2447C2212yes—
175#2447C2212yes—
176#2446C2212yes—
177#2446C2212yes—
178#2441C2212yes—
179#2441C2212yes—
180#2439C2212yes—
181#2439C2212yes—
182#2438C2214yes—
183#2434C2212yes—
184#2429C2212yes—
185#2423C2212yes—
186#2422C2212yes—
187#2421C2214yes—
188#2421C2212yes—
189#2420C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2409C2212yes—
193#2402C2214yes—
194#2399C2214yes—
195#2374C2212yes—
196#2374C2212yes—
197#2373C2212yes—
198#2373C2212yes—
199#2370C2212yes—
200#2370C2211yescharacteristic
201#2370C2212yes—
202#2370C2211yescharacteristic
203#2370C2212yes—
204#2369C2211yescharacteristic
205#2369C2212yes—
206#2369C2212yes—
207#2367C2211yescharacteristic
208#2367C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2212yes—
211#2363C2211yescharacteristic
212#2363C2211yescharacteristic
213#2362C2212yes—
214#2362C2214yes—
215#2362C2214yes—
216#2362C2212yes—
217#2362C2211yescharacteristic
218#2362C2211yescharacteristic
219#2357C2212yes—
220#2356C2214yes—
221#2356C2214yes—
222#2355C2211yescharacteristic
223#2355C2214yes—
224#2355C2214yes—
225#2354C2211yescharacteristic
226#2354C2212yes—
227#2354C2211yescharacteristic
228Q8×C4⋊C4C2211yescharacteristic
229#2349C2212yes—
230#2349C2212yes—
231#2346C2212yes—
232#2346C2212yes—
233#2344C2212yes—
234#2343C2214yes—
235#2343C2214yes—
236#2343C2214yes—
237#2343C2214yes—
238Q8×C22⋊C4C2212yes—
239#2336C2212yes—
240#2336C2212yes—
241#2334C2212yes—
242#2334C2212yes—
243#2332C2214yes—
244#2330C2211yescharacteristic
245#2327C2211yescharacteristic
246#2323C2212yes—
247#2323C2214yes—
248#2323C2212yes—
249#2323C2212yes—
250#2323C2211yescharacteristic
251#2323C2211yescharacteristic
252#2320C2211yescharacteristic
253#2320C2211yescharacteristic
254#2320C2212yes—
255#2320C2212yes—
256#2320C2212yes—
257#2317C2212yes—
258#2314C2211yescharacteristic
259#2310C2212yes—
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276#2298C2212yes—
277#2296C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280#2295C2211yescharacteristic
281#2295C2212yes—
282#2295C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285C2×#391C2212yes—
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2290C2212yes—
291#2274C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C23×Q8C2312yes—
300#554—28no—
301D4×Q8—28no—
302#541—28no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2311yescharacteristic
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×#121C2311yescharacteristic
337#519—216no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117C2312yes—
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2314yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2311yescharacteristic
370C2×#117C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C42C2311yescharacteristic
373C22×C42C2312yes—
374#401C2314yes—
375#401C2314yes—
376#401C2314yes—
377#401C2314yes—
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#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#399C2314yes—
401#399C2314yes—
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#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#395C2314yes—
439#395C2314yes—
440#395C2314yes—
441#394C2314yes—
442#394C2314yes—
443#393C2314yes—
444#393C2314yes—
445#393C2314yes—
446#391C2312yes—
447#391C2311yescharacteristic
448#391C2311yescharacteristic
449#391C2312yes—
450#391C2312yes—
451#391C2314yes—
452#391C2314yes—
453#391C2312yes—
454#391C2314yes—
455#391C2311yescharacteristic
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2314yes—
465#391C2314yes—
466#391C2312yes—
467#391C2311yescharacteristic
468#391C2314yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2312yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2312yes—
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2312yes—
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2314yes—
512#389C2314yes—
513#389C2314yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
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#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2314yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2311yescharacteristic
677#384C2312yes—
678#384C2312yes—
679#384C2314yes—
680#383C2312yes—
681#383C2312yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#383C2314yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2314yes—
695#382C2312yes—
696#382C2314yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#382C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2314yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2311yescharacteristic
800#376C2312yes—
801#376C2311yescharacteristic
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2314yes—
806#376C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2312yes—
815C22×Q8—28no—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2414yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C4⋊Q8—24no—
836C4⋊Q8—28no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842#126—28no—
843#126—28no—
844#126—28no—
845#125—24no—
846#125—24no—
847#125—28no—
848#125—28no—
849#125—28no—
850#125—28no—
851#125—84no—
852#125—84no—
853#125—82no—
854#124—24no—
855#123—28no—
856#123—84no—
857C22⋊Q8—24no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—24no—
861C22⋊Q8—24no—
862C22⋊Q8—216no—
863C22⋊Q8—216no—
864C22⋊Q8—44no—
865C22⋊Q8—84no—
866C22⋊Q8—82no—
867#121—24no—
868C4×Q8—28no—
869C4×Q8—28no—
870C4×Q8—216no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—216no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—24no—
879C4×Q8—42no—
880C4×Q8—42no—
881C4×Q8—82no—
882C4×Q8—84no—
883C4×Q8#4118yes—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—24no—
888C4×D4—24no—
889C4×D4#4118yes—
890#117—28no—
891#117—28no—
892#117—216no—
893#117—24no—
894#117—24no—
895#117—28no—
896#117—216no—
897#117—24no—
898#117—42no—
899#117—44no—
900#117—84no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C42—24no—
1012C2×C42—44no—
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2411yescharacteristic
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
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—22no—
1158C2×Q8—28no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—22no—
1163C2×Q8—28no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—42no—
1170C2×Q8—44no—
1171C2×Q8—42no—
1172C2×Q8—432no—
1173C2×Q8C2×#4114yes—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4C2×#4114yes—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—28no—
1183C22×C4—28no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—28no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—41no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—41no—
1202C22×C4—44no—
1203C22×C4C2×#4118yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—22no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4C2×#4114yes—
1313C4⋊C4C2×#4118yes—
1314C4⋊C4C2×#4114yes—
1315C4⋊C42−1+414yes—
1316C4⋊C42−1+414yes—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4C2×#4118yes—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—28no—
1351C42—28no—
1352C42—24no—
1353C42—28no—
1354C42—28no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—24no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—22no—
1372C42—42no—
1373C42—42no—
1374C42—42no—
1375C42—41no—
1376C42—42no—
1377C42—42no—
1378C42—41no—
1379C42—42no—
1380C42—44no—
1381C42—44no—
1382C42—42no—
1383C42—44no—
1384C42—42no—
1385C42—42no—
1386C42—41no—
1387C42—42no—
1388C42—44no—
1389C42—42no—
1390C42—42no—
1391C42—41no—
1392C42C2×#4114yes—
1393C42C2×#4114yes—
1394C42C2×#4118yes—
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—
1408C23C22×#4114yes—
1409C23C2611yescharacteristic
1410Q8—28no—
1411Q8—416no—
1412Q8—44no—
1413Q8—48no—
1414Q8—44no—
1415Q8—84no—
1416Q8—88no—
1417D4—28no—
1418D4—84no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—216no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—24no—
1505C2×C4—416no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—82no—
1509C2×C4—84no—
1510C2×C4—84no—
1511C2×C4—88no—
1512C2×C4C22×#4112yes—
1513C2×C4C22×#4114yes—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4114yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4112yes—
1521C2×C4C2×2−1+414yes—
1522C2×C4C2×2−1+414yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4C2×2−1+412yes—
1525C2×C4#58512yes—
1526C22—24no—
1527C22—24no—
1528C22—24no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22C23×#4111yescharacteristic
1541C22C23×#4111yescharacteristic
1542C22C22×2−1+411yescharacteristic
1543C22C22×2−1+411yescharacteristic
1544C22C2×#58511yescharacteristic
1545C22H(7,𝔽2)11yescharacteristic
1546C222−1+611yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—24no—
1550C4—22no—
1551C4—24no—
1552C4—24no—
1553C4—24no—
1554C4—24no—
1555C4—42no—
1556C4—44no—
1557C4—41no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—41no—
1562C4—42no—
1563C4—42no—
1564C4—41no—
1565C4—42no—
1566C4—44no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—44no—
1574C4—42no—
1575C4—41no—
1576C4—44no—
1577C4—42no—
1578C4#347514yes—
1579C4#350914yes—
1580C2—44no—
1581C2—81no—
1582C2C2×#347511yescharacteristic
1583C2C2×#350911yescharacteristic
1584C2#6285711yescharacteristic
1585C2#6295011yescharacteristic
1586C2#6295111yescharacteristic
1587C2#6299911yescharacteristic
1588C2#6300111yescharacteristic
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. #59895C2semidirect
2. #59709C2semidirect
3. #59665C2semidirect
4. #59587C2semidirect
5. #59583C2semidirect
6. #59565C2semidirect
9. #44400C2semidirect
10. #44366C2semidirect
11. #43739C2semidirect
12. #43731C2semidirect
13. #38986C2semidirect
14. #38976C2semidirect
17. #38261C2semidirect
18. #38251C2semidirect
19. #38128C2semidirect
20. #38111C2semidirect
21. #36407C2semidirect
22. #36288C2semidirect
23. #36287C2semidirect
24. #36276C2semidirect
25. #35671C2semidirect
26. #35599C2semidirect
27. #35291C2semidirect
28. #35291C2semidirect
29. #34951C2semidirect
30. #34950C2semidirect
31. #34317C2semidirect
32. #34311C2semidirect
33. #34254C2semidirect
35. C4×#541C2semidirect

Maximal subgroups

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

subgroupindex
#598952
#597092
#596652
#595872
#595832
#595652
#595092
#594972
#444002
#443662
#437392
#437312
#389862
#389762
#389212
#389112
#382612
#382512
#381282
#381112
#364072
#362882
#362872
#362762
#356712
#355992
#352912
#349512
#349502
#343172
#343112
#342542
#341512
C4×#5412