Finite Group Databasebeta

← #7680427

Subgroups — #7680427

Order 512.

4563 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#59963C212yesmaximal, complemented
2#59960C212yesmaximal, complemented
3#59714C212yesmaximal, complemented
4#59508C212yesmaximal, complemented
5#59486C212yesmaximal
6#59479C212yesmaximal
7#59464C212yesmaximal, complemented
8#59450C212yesmaximal, complemented
9#43876C214yesmaximal, complemented
10#43849C214yesmaximal, complemented
11#43486C214yesmaximal, complemented
12#43445C214yesmaximal, complemented
13#39545C212yesmaximal, complemented
14#39490C211yesmaximal, characteristic, complemented
15#39427C212yesmaximal, complemented
16#39369C211yesmaximal, characteristic, complemented
17#39159C211yesmaximal, characteristic, complemented
18#39157C211yesmaximal, characteristic, complemented
19#38072C212yesmaximal, complemented
20#38069C212yesmaximal, complemented
21#36598C211yesmaximal, characteristic, complemented
22#36556C211yesmaximal, characteristic, complemented
23#36405C211yesmaximal, characteristic
24#36275C211yesmaximal, characteristic
25#35653C212yesmaximal, complemented
26#35596C212yesmaximal, complemented
27#35324C212yesmaximal, complemented
28#35283C211yesmaximal, characteristic, complemented
29#34951C211yesmaximal, characteristic, complemented
30#34950C211yesmaximal, characteristic, complemented
31#34322C211yesmaximal, characteristic, complemented
32#34317C211yesmaximal, characteristic, complemented
33#34272C212yesmaximal, complemented
34#34125C211yesmaximal, characteristic
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#544C2212yes—
39C2×#541C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2862C2212yes—
44#2862C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2855C2212yes—
48#2855C2212yes—
49#2774C2214yes—
50#2774C2214yes—
51#2773C2214yes—
52#2771C2214yes—
53#2771C2214yes—
54#2767C2214yes—
55#2766C2214yes—
56#2765C2214yes—
57#2762C2214yes—
58#2758C2214yes—
59#2758C2214yes—
60#2751C2214yes—
61#2745C2214yes—
62#2739C2214yes—
63#2738C2214yes—
64#2723C2214yes—
65#2720C2214yes—
66#2719C2214yes—
67#2716C2214yes—
68#2690C2214yes—
69#2689C2214yes—
70#2689C2214yes—
71#2689C2214yes—
72#2677C2214yes—
73#2647C2212yes—
74#2645C2212yes—
75#2645C2212yes—
76#2628C2212yes—
77#2628C2212yes—
78#2621C2212yes—
79#2604C2214yes—
80#2599C2214yes—
81#2597C2214yes—
82#2596C2214yes—
83#2596C2214yes—
84#2588C2214yes—
85#2588C2214yes—
86#2588C2214yes—
87#2588C2214yes—
88#2586C2214yes—
89#2585C2214yes—
90#2585C2214yes—
91#2582C2211yescharacteristic
92#2582C2211yescharacteristic
93#2575C2214yes—
94#2575C2214yes—
95#2575C2214yes—
96#2573C2214yes—
97#2571C2212yes—
98#2571C2212yes—
99#2570C2214yes—
100#2568C2212yes—
101#2568C2211yescharacteristic
102#2568C2212yes—
103#2567C2211yescharacteristic
104#2567C2211yescharacteristic
105#2560C2214yes—
106#2560C2214yes—
107#2552C2211yescharacteristic
108#2551C2212yes—
109#2551C2211yescharacteristic
110#2550C2214yes—
111#2546C2211yescharacteristic
112#2542C2212yes—
113#2533C2214yes—
114#2533C2214yes—
115#2533C2214yes—
116#2530C2214yes—
117#2529C2214yes—
118#2528C2214yes—
119#2528C2214yes—
120#2528C2214yes—
121#2527C2214yes—
122#2527C2214yes—
123#2526C2214yes—
124#2524C2214yes—
125#2520C2214yes—
126#2519C2214yes—
127#2516C2214yes—
128#2514C2212yes—
129#2511C2212yes—
130#2511C2212yes—
131#2511C2212yes—
132#2511C2212yes—
133#2511C2212yes—
134#2511C2212yes—
135#2509C2212yes—
136#2509C2214yes—
137#2509C2212yes—
138#2509C2212yes—
139#2508C2212yes—
140#2508C2214yes—
141#2507C2212yes—
142#2507C2212yes—
143#2506C2212yes—
144#2503C2214yes—
145#2503C2212yes—
146#2499C2212yes—
147#2496C2212yes—
148#2496C2212yes—
149#2495C2212yes—
150#2494C2212yes—
151#2493C2214yes—
152#2492C2212yes—
153#2492C2212yes—
154#2492C2212yes—
155#2492C2212yes—
156#2489C2214yes—
157#2489C2212yes—
158#2487C2212yes—
159#2485C2212yes—
160#2484C2214yes—
161#2479C2214yes—
162#2478C2214yes—
163#2469C2214yes—
164#2468C2214yes—
165#2453C2212yes—
166#2453C2212yes—
167#2453C2212yes—
168#2453C2212yes—
169#2452C2212yes—
170#2451C2212yes—
171#2451C2212yes—
172#2451C2212yes—
173#2451C2212yes—
174#2449C2214yes—
175#2447C2212yes—
176#2447C2212yes—
177#2447C2212yes—
178#2446C2212yes—
179#2446C2212yes—
180#2446C2214yes—
181#2441C2212yes—
182#2441C2212yes—
183#2440C2212yes—
184#2438C2214yes—
185#2438C2214yes—
186#2432C2212yes—
187#2423C2212yes—
188#2423C2212yes—
189#2421C2214yes—
190#2421C2212yes—
191#2417C2212yes—
192#2415C2212yes—
193#2402C2214yes—
194#2399C2214yes—
195#2373C2214yes—
196#2370C2212yes—
197#2370C2214yes—
198#2370C2214yes—
199#2369C2211yescharacteristic
200#2369C2214yes—
201#2368C2214yes—
202#2368C2214yes—
203#2367C2212yes—
204#2365C2211yescharacteristic
205#2365C2212yes—
206#2365C2212yes—
207#2365C2214yes—
208#2365C2212yes—
209#2362C2212yes—
210#2362C2214yes—
211#2362C2212yes—
212#2360C2212yes—
213#2360C2214yes—
214#2360C2214yes—
215#2357C2212yes—
216#2357C2211yescharacteristic
217#2357C2211yescharacteristic
218#2357C2212yes—
219#2357C2212yes—
220#2355C2211yescharacteristic
221#2355C2211yescharacteristic
222#2355C2212yes—
223#2355C2212yes—
224#2354C2211yescharacteristic
225#2351C2212yes—
226#2351C2211yescharacteristic
227#2351C2211yescharacteristic
228D4×C4⋊C4C2211yescharacteristic
229D4×C4⋊C4C2212yes—
230#2347C2211yescharacteristic
231#2347C2212yes—
232#2347C2211yescharacteristic
233#2347C2212yes—
234#2346C2212yes—
235#2344C2212yes—
236#2341C2211yescharacteristic
237#2341C2211yescharacteristic
238#2339C2212yes—
239#2336C2212yes—
240#2336C2212yes—
241#2334C2214yes—
242#2334C2212yes—
243#2334C2212yes—
244#2332C2214yes—
245#2331C2212yes—
246#2331C2212yes—
247#2330C2211yescharacteristic
248#2330C2212yes—
249#2327C2211yescharacteristic
250#2323C2211yescharacteristic
251#2323C2212yes—
252#2323C2212yes—
253#2323C2211yescharacteristic
254#2320C2211yescharacteristic
255#2320C2211yescharacteristic
256#2317C2212yes—
257#2314C2212yes—
258#2314C2211yescharacteristic
259C4×C4⋊Q8C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2212yes—
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×#125C2212yes—
270C4×#125C2211yescharacteristic
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×#124C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2211yescharacteristic
277#2296C2212yes—
278#2295C2212yes—
279#2295C2212yes—
280#2295C2212yes—
281#2295C2212yes—
282#2295C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2293C2211yescharacteristic
286#2293C2212yes—
287#2293C2211yescharacteristic
288C2×#389C2212yes—
289#2283C2212yes—
290#2283C2211yescharacteristic
291#2274C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300#556—28no—
301#554—28no—
302#544—216no—
303#541—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C4×#41—28no—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2314yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2314yes—
372C22×C42C2312yes—
373C22×C42C2311yescharacteristic
374#401C2314yes—
375#401C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
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#398C2314yes—
422#398C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
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#391C2314yes—
447#391C2314yes—
448#391C2312yes—
449#391C2312yes—
450#391C2314yes—
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#391C2312yes—
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2314yes—
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2312yes—
491#389C2311yescharacteristic
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2314yes—
510#389C2314yes—
511#389C2314yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2314yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2312yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2312yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2314yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
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#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#386C2314yes—
653#386C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#384C2311yescharacteristic
667#384C2312yes—
668#384C2312yes—
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#383C2312yes—
676#383C2312yes—
677#383C2314yes—
678#383C2312yes—
679#383C2312yes—
680#383C2312yes—
681#382C2312yes—
682#382C2312yes—
683#382C2311yescharacteristic
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2311yescharacteristic
688#382C2312yes—
689#382C2312yes—
690#382C2314yes—
691#382C2314yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2312yes—
697#382C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2312yes—
704#381C2312yes—
705#381C2312yes—
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2311yescharacteristic
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808C2×#95C2314yes—
809C43C2312yes—
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—42no—
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2411yescharacteristic
835C4⋊Q8—28no—
836C4⋊Q8—216no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—28no—
840C4⋊Q8—24no—
841C4⋊Q8—24no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—82no—
845#126—28no—
846#126—28no—
847#126—216no—
848#126—84no—
849#125—28no—
850#125—28no—
851#125—216no—
852#125—28no—
853#125—28no—
854#125#4118yescomplemented
855#124—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—24no—
859C22⋊Q8—24no—
860C22⋊Q8—216no—
861C22⋊Q8—216no—
862C22⋊Q8—216no—
863C22⋊Q8—44no—
864C22⋊Q8—84no—
865C22⋊Q8—82no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—28no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—42no—
880C4×Q8—42no—
881C4×Q8—84no—
882C4×Q8—84no—
883C4×Q8—82no—
884C4×D4—24no—
885C4×D4—28no—
886C4×D4—28no—
887C4×D4—28no—
888C4×D4—44no—
889C4×D4#4118yes—
890#117—28no—
891#117—24no—
892#117—28no—
893#117—28no—
894#117—24no—
895#117—28no—
896#117—28no—
897#117—24no—
898#117—84no—
899C2×C4⋊C4—28no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—84no—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C42—28no—
1012C2×C42—24no—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2414yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2414yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2412yes—
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
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#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
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—22no—
1156C2×Q8—22no—
1157C2×Q8—22no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—28no—
1161C2×Q8—28no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—24no—
1165C2×Q8—22no—
1166C2×Q8—24no—
1167C2×Q8—42no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×Q8—44no—
1171C2×Q8—44no—
1172C2×Q8—42no—
1173C2×Q82−1+414yes—
1174C2×D4—24no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—42no—
1179C2×D4C2×#4114yes—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—42no—
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×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2514yes—
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—22no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
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×#4114yes—
1314C4⋊C4C2×#4114yes—
1315C4⋊C4C2×#4118yes—
1316C4⋊C4C2×#4118yes—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
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—22no—
1332C22⋊C4—22no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4C2×#4118yes—
1346C42—22no—
1347C42—24no—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—28no—
1354C42—28no—
1355C42—24no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—22no—
1366C42—24no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—42no—
1373C42—41no—
1374C42—42no—
1375C42—41no—
1376C42—42no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C42—44no—
1381C42—42no—
1382C42—44no—
1383C42—44no—
1384C42—42no—
1385C42—41no—
1386C42—42no—
1387C42—44no—
1388C42—42no—
1389C42—42no—
1390C42—44no—
1391C42—41no—
1392C42C2×#4114yes—
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—
1408C23C22×#4114yes—
1409C23C2611yescharacteristic
1410Q8—28no—
1411Q8—44no—
1412Q8—44no—
1413Q8—48no—
1414Q8—88no—
1415Q8—88no—
1416Q8—84no—
1417D4—28no—
1418D4—48no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—216no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—21no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—21no—
1504C2×C4—48no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—88no—
1508C2×C4—82no—
1509C2×C4—84no—
1510C2×C4—88no—
1511C2×C4C22×#4114yes—
1512C2×C4C22×#4114yes—
1513C2×C4C22×#4112yes—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C2×2−1+412yes—
1521C2×C4C2×2−1+412yes—
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—24no—
1549C4—24no—
1550C4—22no—
1551C4—24no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—24no—
1556C4—41no—
1557C4—42no—
1558C4—41no—
1559C4—44no—
1560C4—42no—
1561C4—44no—
1562C4—41no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—41no—
1568C4—44no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4#348214yes—
1579C4#349514yes—
1580C2—44no—
1581C2—81no—
1582C2C2×#348211yescharacteristic
1583C2C2×#349511yescharacteristic
1584C2#6285711yescharacteristic
1585C2#6294311yescharacteristic
1586C2#6295611yescharacteristic
1587C2#6300111yescharacteristic
1588C2#6301011yescharacteristic
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. #59963C2semidirect
2. #59960C2semidirect
3. #59714C2semidirect
4. #59508C2semidirect
7. #59464C2semidirect
8. #59450C2semidirect
9. #43876C2semidirect
10. #43849C2semidirect
11. #43486C2semidirect
12. #43445C2semidirect
13. #39545C2semidirect
14. #39490C2semidirect
15. #39427C2semidirect
16. #39369C2semidirect
17. #39159C2semidirect
18. #39157C2semidirect
19. #38072C2semidirect
20. #38069C2semidirect
21. #36598C2semidirect
22. #36556C2semidirect
25. #35653C2semidirect
26. #35596C2semidirect
27. #35324C2semidirect
28. #35283C2semidirect
29. #34951C2semidirect
30. #34950C2semidirect
31. #34322C2semidirect
32. #34317C2semidirect
33. #34272C2semidirect
35. C4×#541C2semidirect
854. #125#41semidirect

Maximal subgroups

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

subgroupindex
#599632
#599602
#597142
#595082
#594862
#594792
#594642
#594502
#438762
#438492
#434862
#434452
#395452
#394902
#394272
#393692
#391592
#391572
#380722
#380692
#365982
#365562
#364052
#362752
#356532
#355962
#353242
#352832
#349512
#349502
#343222
#343172
#342722
#341252
C4×#5412