Finite Group Databasebeta

← #8399006

Subgroups — #8399006

Order 512.

5243 conjugacy classes of subgroups.

The subgroup lattice has 1589 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59693C212yesmaximal, complemented
2#59305C212yesmaximal, complemented
3#55292C214yesmaximal, complemented
4#53435C214yesmaximal, complemented
5#51173C214yesmaximal, complemented
6#49240C214yesmaximal, complemented
7#48508C214yesmaximal, complemented
8#47845C214yesmaximal, complemented
9#46108C212yesmaximal, complemented
10#45610C212yesmaximal, complemented
11#45430C211yesmaximal, characteristic, complemented
12#45271C211yesmaximal, characteristic, complemented
13#45271C211yesmaximal, characteristic, complemented
14#44947C211yesmaximal, characteristic, complemented
15#44082C214yesmaximal, complemented
16#43112C214yesmaximal, complemented
17#42651C211yesmaximal, characteristic, complemented
18#42424C211yesmaximal, characteristic, complemented
19#40053C212yesmaximal, complemented
20#40003C212yesmaximal, complemented
21#39732C212yesmaximal, complemented
22#39396C212yesmaximal, complemented
23#37320C211yesmaximal, characteristic, complemented
24#36559C211yesmaximal, characteristic, complemented
25#36498C211yesmaximal, characteristic, complemented
26#36370C211yesmaximal, characteristic, complemented
27#36179C211yesmaximal, characteristic, complemented
28#35836C211yesmaximal, characteristic, complemented
29#35730C211yesmaximal, characteristic, complemented
30#35537C211yesmaximal, characteristic, complemented
31#34968C211yesmaximal, characteristic, complemented
32C2×#554C2211yescharacteristic
33C2×#554C2211yescharacteristic, complemented
34C2×#553C2214yescomplemented
35C2×#547C2211yescharacteristic
36C2×#547C2214yescomplemented
37C2×#547C2211yescharacteristic, complemented
38C2×#540C2211yescharacteristic
39C2×#538C2214yes—
40C2×#518C2211yescharacteristic
41#2868C2211yescharacteristic, complemented
42#2864C2211yescharacteristic, complemented
43#2860C2212yes—
44#2859C2212yescomplemented
45#2856C2212yes—
46#2854C2212yescomplemented
47#2836C2214yescomplemented
48#2829C2214yescomplemented
49#2816C2212yes—
50#2814C2212yescomplemented
51#2798C2214yescomplemented
52#2797C2214yes—
53#2795C2214yes—
54#2794C2214yescomplemented
55#2793C2214yescomplemented
56#2790C2214yescomplemented
57#2790C2214yescomplemented
58#2790C2214yescomplemented
59#2773C2214yescomplemented
60#2771C2214yescomplemented
61#2748C2214yescomplemented
62#2740C2214yescomplemented
63#2738C2214yescomplemented
64#2730C2214yes—
65#2728C2214yescomplemented
66#2728C2214yescomplemented
67#2721C2214yes—
68#2721C2214yescomplemented
69#2718C2214yes—
70#2718C2214yescomplemented
71#2716C2214yes—
72#2713C2214yescomplemented
73#2711C2214yescomplemented
74#2710C2214yes—
75#2710C2214yescomplemented
76#2707C2214yescomplemented
77#2705C2214yes—
78#2703C2214yes—
79#2703C2214yescomplemented
80#2701C2214yescomplemented
81#2700C2214yescomplemented
82#2697C2214yes—
83#2696C2214yescomplemented
84#2696C2214yescomplemented
85#2695C2214yescomplemented
86#2693C2214yescomplemented
87#2692C2214yescomplemented
88#2688C2214yes—
89#2685C2214yes—
90#2682C2214yescomplemented
91#2681C2214yes—
92#2680C2214yescomplemented
93#2678C2214yes—
94#2678C2214yes—
95#2676C2214yescomplemented
96#2671C2214yes—
97#2671C2214yescomplemented
98#2671C2214yescomplemented
99#2663C2212yescomplemented
100#2649C2214yes—
101#2648C2214yes—
102#2639C2212yes—
103#2638C2212yes—
104#2636C2214yes—
105#2628C2211yescharacteristic
106#2628C2211yescharacteristic
107#2626C2212yes—
108#2623C2212yescomplemented
109#2618C2214yes—
110#2615C2212yes—
111#2598C2214yescomplemented
112#2597C2214yescomplemented
113#2580C2211yescharacteristic
114#2580C2211yescharacteristic, complemented
115#2580C2212yescomplemented
116#2579C2214yescomplemented
117#2579C2214yescomplemented
118#2570C2212yescomplemented
119#2566C2211yescharacteristic
120#2566C2212yes—
121#2566C2211yescharacteristic
122#2566C2212yescomplemented
123#2564C2212yes—
124#2564C2214yescomplemented
125#2563C2211yescharacteristic
126#2563C2211yescharacteristic, complemented
127#2561C2212yes—
128#2560C2214yescomplemented
129#2552C2212yescomplemented
130#2548C2212yes—
131#2542C2211yescharacteristic
132#2542C2214yescomplemented
133#2542C2211yescharacteristic, complemented
134#2541C2211yescharacteristic
135#2541C2211yescharacteristic
136#2538C2212yes—
137#2538C2214yescomplemented
138#2535C2212yes—
139#2535C2211yescharacteristic
140#2535C2211yescharacteristic, complemented
141#2525C2212yes—
142#2521C2212yes—
143#2521C2214yescomplemented
144#2520C2212yescomplemented
145#2515C2212yescomplemented
146#2513C2212yes—
147#2512C2212yescomplemented
148#2507C2212yescomplemented
149#2507C2212yescomplemented
150#2506C2212yescomplemented
151#2502C2214yescomplemented
152#2501C2212yes—
153#2501C2212yes—
154#2501C2212yescomplemented
155#2501C2214yescomplemented
156#2501C2214yescomplemented
157#2500C2211yescharacteristic
158#2500C2211yescharacteristic
159#2497C2212yes—
160#2497C2212yescomplemented
161#2497C2214yescomplemented
162#2496C2212yes—
163#2490C2212yes—
164#2490C2212yes—
165#2490C2212yescomplemented
166#2487C2212yes—
167#2481C2214yescomplemented
168#2479C2214yes—
169#2479C2214yescomplemented
170#2470C2214yescomplemented
171#2468C2214yescomplemented
172#2468C2212yescomplemented
173#2467C2214yescomplemented
174#2465C2212yescomplemented
175#2464C2214yescomplemented
176#2461C2212yes—
177#2458C2212yes—
178#2458C2214yescomplemented
179#2457C2214yes—
180#2457C2214yescomplemented
181#2456C2214yes—
182#2456C2214yes—
183#2456C2214yes—
184#2456C2214yes—
185#2456C2214yescomplemented
186#2456C2214yescomplemented
187#2454C2212yes—
188#2452C2214yescomplemented
189#2452C2214yescomplemented
190#2450C2214yescomplemented
191#2449C2214yes—
192#2445C2212yes—
193#2445C2212yescomplemented
194#2443C2214yes—
195#2443C2214yescomplemented
196#2443C2214yescomplemented
197#2443C2214yescomplemented
198#2442C2212yescomplemented
199#2442C2212yescomplemented
200#2442C2212yescomplemented
201#2441C2212yes—
202#2437C2214yes—
203#2433C2211yescharacteristic
204#2433C2211yescharacteristic
205#2430C2212yescomplemented
206#2428C2212yes—
207#2428C2212yes—
208#2428C2212yes—
209#2428C2212yescomplemented
210#2424C2214yes—
211#2424C2214yes—
212#2424C2214yes—
213#2422C2212yes—
214#2420C2212yes—
215#2418C2214yes—
216#2418C2214yes—
217#2417C2214yescomplemented
218#2416C2212yes—
219#2408C2212yes—
220#2407C2214yescomplemented
221#2407C2214yescomplemented
222#2404C2212yes—
223#2399C2211yescharacteristic, complemented
224#2398C2211yescharacteristic, complemented
225#2396C2211yescharacteristic
226C2×#399C2212yes—
227#2392C2211yescharacteristic
228#2388C2212yes—
229#2377C2214yescomplemented
230#2376C2214yescomplemented
231#2366C2212yes—
232#2364C2214yescomplemented
233#2361C2212yes—
234#2361C2212yes—
235#2361C2212yescomplemented
236#2359C2214yescomplemented
237#2357C2211yescharacteristic
238#2357C2211yescharacteristic, complemented
239#2355C2212yescomplemented
240#2352C2212yes—
241#2349C2211yescharacteristic
242#2349C2211yescharacteristic, complemented
243D4×C4⋊C4C2212yes—
244D4×C4⋊C4C2214yescomplemented
245D4×C4⋊C4C2214yescomplemented
246D4×C22⋊C4C2212yes—
247#2335C2214yescomplemented
248#2331C2211yescharacteristic, complemented
249#2331C2211yescharacteristic, complemented
250#2328C2211yescharacteristic
251#2328C2211yescharacteristic
252#2322C2214yescomplemented
253#2321C2214yes—
254C4×#127C2211yescharacteristic
255C4×#127C2212yes—
256C4×#127C2211yescharacteristic
257C4×#126C2212yescomplemented
258C4×#124C2212yes—
259C4×C22⋊Q8C2212yescomplemented
260C4×#123C2212yes—
261C4×#121C2212yes—
262#2298C2211yescharacteristic
263#2293C2212yescomplemented
264C2×#384C2212yescomplemented
265C42×Q8C2211yescharacteristic, complemented
266C42×D4C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2312yes—
269C23×D4C2311yescharacteristic
270#554—44no—
271#554—44no—
272#553—416no—
273#547—44no—
274#547—44no—
275#547—416no—
276#540—44no—
277#538—416no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2314yes—
281C2×#127C2311yescharacteristic
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#127C2311yescharacteristic
286C2×#126C2312yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#126C2314yes—
290C2×#125C2311yescharacteristic
291C2×#125C2312yes—
292C2×#125C2312yes—
293C2×#125C2314yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×#123C2312yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2311yescharacteristic
334C2×#121C2314yes—
335C2×#121C2311yescharacteristic
336C2×#120C2314yes—
337C2×#120C2314yes—
338C2×#120C2314yes—
339#518—44no—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C22×C4⋊C4C2314yes—
371C22×C4⋊C4C2314yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2314yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C42C2312yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2311yescharacteristic
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#399C2312yes—
394#399C2312yes—
395#399C2312yes—
396#399C2312yes—
397#399C2314yes—
398#399C2312yes—
399#399C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2312yes—
404#399C2311yescharacteristic
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2311yescharacteristic
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2314yes—
425#397C2311yescharacteristic
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#395C2311yescharacteristic
455#395C2312yes—
456#395C2312yes—
457#395C2312yes—
458#395C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2311yescharacteristic
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#393C2312yes—
482#393C2311yescharacteristic
483#393C2312yes—
484#393C2312yes—
485#393C2312yes—
486#393C2312yes—
487#393C2312yes—
488#393C2312yes—
489#393C2314yes—
490#393C2312yes—
491#393C2312yes—
492#392C2314yes—
493#392C2314yes—
494#392C2311yescharacteristic
495#392C2312yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2312yes—
509#391C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2314yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2312yes—
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2312yes—
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2314yes—
676#384C2314yes—
677#384C2314yes—
678#384C2314yes—
679#383C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2311yescharacteristic
685#382C2311yescharacteristic
686#382C2312yes—
687#381C2312yes—
688#381C2314yes—
689#381C2312yes—
690#381C2312yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2314yes—
704#380C2314yes—
705#380C2312yes—
706#379C2314yes—
707#379C2314yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2311yescharacteristic
737C4×C22⋊C4C2312yes—
738#376C2311yescharacteristic
739C2×#95C2312yes—
740C2×#95C2312yes—
741C43C2312yes—
742C43C2311yescharacteristic
743C25C2412yes—
744C2×#41—48no—
745C2×#41—48no—
746C2×#41—44no—
747C2×#41—44no—
748C22×Q8C2411yescharacteristic
749C22×Q8C2412yes—
750C22×Q8C2412yes—
751C22×Q8C2412yes—
752C22×D4—24no—
753C22×D4—42no—
754C22×D4—42no—
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2411yescharacteristic
762C22×D4C2412yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2412yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C4⋊Q8—24no—
791C4⋊Q8—24no—
792C4⋊Q8—48no—
793#127—24no—
794#127—24no—
795#127—42no—
796#127—42no—
797#127—42no—
798#126—28no—
799#126—48no—
800#126—48no—
801#126—48no—
802#125—42no—
803#125—44no—
804#125—44no—
805#125—48no—
806#124—28no—
807#124—48no—
808#123—216no—
809#123—216no—
810#123—48no—
811#123—48no—
812#123—48no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—44no—
818#123—44no—
819#123—44no—
820#123—48no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—48no—
825C22⋊Q8—44no—
826C22⋊Q8—48no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831#121—28no—
832#121—216no—
833#121—44no—
834#121—44no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—44no—
842#121—42no—
843#121—42no—
844#121—44no—
845#121—44no—
846#121—48no—
847#121—48no—
848#120—48no—
849#120—48no—
850#120—48no—
851C4×Q8—24no—
852C4×Q8—44no—
853C4×Q8—44no—
854C4×D4—28no—
855C4×D4—24no—
856C4×D4—24no—
857C4×D4—24no—
858C4×D4—24no—
859C4×D4—24no—
860C4×D4—48no—
861C4×D4—48no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4—42no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—48no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—48no—
875C4×D4—48no—
876C4×D4—48no—
877C4×D4—48no—
878#117—24no—
879#117—48no—
880#117—42no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4—48no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—48no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—48no—
948C2×C22⋊C4C2411yescharacteristic
949C2×C22⋊C4C2411yescharacteristic
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C42—44no—
1011C2×C42C2412yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033#95C2411yescharacteristic
1034#95C2411yescharacteristic
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2411yescharacteristic
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087C24—24no—
1088C24—42no—
1089C24—42no—
1090C24—44no—
1091C24—44no—
1092C24C2511yescharacteristic
1093C24C2512yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2512yes—
1098#41—816no—
1099#41—816no—
1100C2×Q8—22no—
1101C2×Q8—24no—
1102C2×Q8—24no—
1103C2×Q8—24no—
1104C2×Q8—42no—
1105C2×Q8—42no—
1106C2×Q8—44no—
1107C2×Q8—44no—
1108C2×Q8—42no—
1109C2×D4—24no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—28no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—28no—
1133C2×D4—42no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—416no—
1161C2×D42−1+414yes—
1162C22×C4—24no—
1163C22×C4—28no—
1164C22×C4—28no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—22no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—28no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—28no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—28no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—28no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C22⋊C4—24no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—24no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4H(5,𝔽2)18yes—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—42no—
1361C42—42no—
1362C42—42no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—42no—
1368C42—42no—
1369C42H(5,𝔽2)14yes—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—24no—
1374C23—22no—
1375C23—24no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—24no—
1382C23—21no—
1383C23—24no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—24no—
1388C23—21no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—24no—
1393C23—22no—
1394C23—24no—
1395C23—21no—
1396C23—22no—
1397C23—24no—
1398C23—22no—
1399C23—22no—
1400C23—48no—
1401C23—88no—
1402C23—164no—
1403C23—162no—
1404C23—162no—
1405C23C2×H(5,𝔽2)14yes—
1406C23C2×2−1+414yes—
1407C23C2611yescharacteristic
1408Q8—44no—
1409Q8—84no—
1410Q8—84no—
1411Q8—84no—
1412D4—28no—
1413D4—28no—
1414D4—416no—
1415D4—416no—
1416D4—48no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—84no—
1424D4—88no—
1425D4—88no—
1426D4—164no—
1427D4—162no—
1428D4—162no—
1429D4—162no—
1430D4—162no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—48no—
1493C2×C4—44no—
1494C2×C4—88no—
1495C2×C4—84no—
1496C2×C4—84no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—88no—
1500C2×C4—88no—
1501C2×C4—88no—
1502C2×C4—162no—
1503C2×C4—164no—
1504C2×C4—164no—
1505C2×C4—162no—
1506C2×C4C2×H(5,𝔽2)14yes—
1507C2×C4C2×H(5,𝔽2)12yes—
1508C2×C4C2×H(5,𝔽2)12yes—
1509C2×C4C2×H(5,𝔽2)14yes—
1510C2×C4C2×H(5,𝔽2)12yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4#58514yes—
1513C2×C4#58512yes—
1514C22—24no—
1515C22—28no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—44no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—41no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—44no—
1531C22—44no—
1532C22—44no—
1533C22—42no—
1534C22—44no—
1535C22—44no—
1536C22—44no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—41no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—41no—
1546C22—168no—
1547C22C22×H(5,𝔽2)11yescharacteristic
1548C22C22×H(5,𝔽2)12yes—
1549C22C22×2−1+411yescharacteristic
1550C22C2×#58511yescharacteristic
1551C22C2×#58512yes—
1552C4—24no—
1553C4—24no—
1554C4—24no—
1555C4—22no—
1556C4—22no—
1557C4—42no—
1558C4—41no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4—44no—
1569C4—44no—
1570C4—42no—
1571C4—41no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—42no—
1576C4#354114yes—
1577C2—44no—
1578C2—44no—
1579C2—82no—
1580C2—82no—
1581C2—82no—
1582C2—81no—
1583C2C2×#354111yescharacteristic
1584C2#6283211yescharacteristic
1585C2#6283611yescharacteristic
1586C2#6301312yes—
1587C2#6301812yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59693C2semidirect
2. #59305C2semidirect
3. #55292C2semidirect
4. #53435C2semidirect
5. #51173C2semidirect
6. #49240C2semidirect
7. #48508C2semidirect
8. #47845C2semidirect
9. #46108C2semidirect
10. #45610C2semidirect
11. #45430C2semidirect
12. #45271C2semidirect
13. #45271C2semidirect
14. #44947C2semidirect
15. #44082C2semidirect
16. #43112C2semidirect
17. #42651C2semidirect
18. #42424C2semidirect
19. #40053C2semidirect
20. #40003C2semidirect
21. #39732C2semidirect
22. #39396C2semidirect
23. #37320C2semidirect
24. #36559C2semidirect
25. #36498C2semidirect
26. #36370C2semidirect
27. #36179C2semidirect
28. #35836C2semidirect
29. #35730C2semidirect
30. #35537C2semidirect
31. #34968C2semidirect
33. C2×#554C22semidirect
34. C2×#553C22semidirect
36. C2×#547C22semidirect
37. C2×#547C22semidirect
41. #2868C22semidirect
42. #2864C22semidirect
44. #2859C22semidirect
46. #2854C22semidirect
47. #2836C22semidirect
48. #2829C22semidirect
50. #2814C22semidirect
51. #2798C22semidirect
54. #2794C22semidirect
55. #2793C22semidirect
56. #2790C22semidirect
57. #2790C22semidirect
58. #2790C22semidirect
59. #2773C22semidirect
60. #2771C22semidirect
61. #2748C22semidirect
62. #2740C22semidirect
63. #2738C22semidirect
65. #2728C22semidirect
66. #2728C22semidirect
68. #2721C22semidirect
70. #2718C22semidirect
72. #2713C22semidirect
73. #2711C22semidirect
75. #2710C22semidirect
76. #2707C22semidirect
79. #2703C22semidirect
80. #2701C22semidirect
81. #2700C22semidirect
83. #2696C22semidirect
84. #2696C22semidirect
85. #2695C22semidirect
86. #2693C22semidirect
87. #2692C22semidirect
90. #2682C22semidirect
92. #2680C22semidirect
95. #2676C22semidirect
97. #2671C22semidirect
98. #2671C22semidirect
99. #2663C22semidirect
108. #2623C22semidirect
111. #2598C22semidirect
112. #2597C22semidirect
114. #2580C22semidirect
115. #2580C22semidirect
116. #2579C22semidirect
117. #2579C22semidirect
118. #2570C22semidirect
122. #2566C22semidirect
124. #2564C22semidirect
126. #2563C22semidirect
128. #2560C22semidirect
129. #2552C22semidirect
132. #2542C22semidirect
133. #2542C22semidirect
137. #2538C22semidirect
140. #2535C22semidirect
143. #2521C22semidirect
144. #2520C22semidirect
145. #2515C22semidirect
147. #2512C22semidirect
148. #2507C22semidirect
149. #2507C22semidirect
150. #2506C22semidirect
151. #2502C22semidirect
154. #2501C22semidirect
155. #2501C22semidirect
156. #2501C22semidirect
160. #2497C22semidirect
161. #2497C22semidirect
165. #2490C22semidirect
167. #2481C22semidirect
169. #2479C22semidirect
170. #2470C22semidirect
171. #2468C22semidirect
172. #2468C22semidirect
173. #2467C22semidirect
174. #2465C22semidirect
175. #2464C22semidirect
178. #2458C22semidirect
180. #2457C22semidirect
185. #2456C22semidirect
186. #2456C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2450C22semidirect
193. #2445C22semidirect
195. #2443C22semidirect
196. #2443C22semidirect
197. #2443C22semidirect
198. #2442C22semidirect
199. #2442C22semidirect
200. #2442C22semidirect
205. #2430C22semidirect
209. #2428C22semidirect
217. #2417C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
223. #2399C22semidirect
224. #2398C22semidirect
229. #2377C22semidirect
230. #2376C22semidirect
232. #2364C22semidirect
235. #2361C22semidirect
236. #2359C22semidirect
238. #2357C22semidirect
239. #2355C22semidirect
242. #2349C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
247. #2335C22semidirect
248. #2331C22semidirect
249. #2331C22semidirect
252. #2322C22semidirect
257. C4×#126C22semidirect
259. C4×C22⋊Q8C22semidirect
263. #2293C22semidirect
264. C2×#384C22semidirect
265. C42×Q8C22semidirect
266. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596932
#593052
#552922
#534352
#511732
#492402
#485082
#478452
#461082
#456102
#454302
#452712
#449472
#440822
#431122
#426512
#424242
#400532
#400032
#397322
#393962
#373202
#365592
#364982
#363702
#361792
#358362
#357302
#355372
#349682