Finite Group Databasebeta

← #7764810

Subgroups — #7764810

Order 512.

5091 conjugacy classes of subgroups.

The subgroup lattice has 1633 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59632C211yesmaximal, characteristic, complemented
2#59299C212yesmaximal, complemented
3#59220C212yesmaximal, complemented
4#59199C211yesmaximal, characteristic, complemented
5#59117C212yesmaximal, complemented
6#49380C214yesmaximal, complemented
7#48058C212yesmaximal, complemented
8#47846C212yesmaximal, complemented
9#47436C214yesmaximal, complemented
10#47037C212yesmaximal, complemented
11#47004C212yesmaximal, complemented
12#45696C211yesmaximal, characteristic, complemented
13#45688C212yesmaximal, complemented
14#45478C211yesmaximal, characteristic, complemented
15#44655C214yesmaximal, complemented
16#41793C212yesmaximal, complemented
17#41627C212yesmaximal, complemented
18#40368C214yesmaximal, complemented
19#40168C212yesmaximal, complemented
20#39910C212yesmaximal, complemented
21#39902C212yesmaximal, complemented
22#39733C212yesmaximal, complemented
23#39246C212yesmaximal, complemented
24#37080C212yesmaximal, complemented
25#36438C212yesmaximal, complemented
26#36208C212yesmaximal, complemented
27#36157C212yesmaximal, complemented
28#35237C211yesmaximal, characteristic, complemented
29#34809C211yesmaximal, characteristic, complemented
30#34518C212yesmaximal, complemented
31C4×#534C211yesmaximal, characteristic, complemented
32C2×#560C2212yes—
33C2×#553C2212yes—
34C2×#534C2211yescharacteristic
35C2×#532C2211yescharacteristic, complemented
36C22×C4×D4C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38C22×#117C2211yescharacteristic, complemented
39#2854C2212yescomplemented
40#2852C2214yescomplemented
41#2851C2212yescomplemented
42#2851C2212yescomplemented
43#2847C2212yes—
44#2847C2212yescomplemented
45#2847C2212yescomplemented
46#2836C2214yescomplemented
47#2835C2212yescomplemented
48#2812C2212yescomplemented
49#2800C2214yescomplemented
50#2796C2214yescomplemented
51#2786C2214yescomplemented
52#2782C2214yescomplemented
53#2782C2214yescomplemented
54#2781C2214yescomplemented
55#2778C2214yescomplemented
56#2771C2214yescomplemented
57#2767C2214yescomplemented
58#2766C2214yescomplemented
59#2764C2212yescomplemented
60#2756C2214yes—
61#2752C2212yescomplemented
62#2750C2214yes—
63#2750C2214yescomplemented
64#2750C2214yescomplemented
65#2750C2214yescomplemented
66#2749C2214yes—
67#2748C2212yes—
68#2745C2214yescomplemented
69#2743C2214yescomplemented
70#2743C2214yescomplemented
71#2742C2212yescomplemented
72#2742C2214yescomplemented
73#2739C2214yescomplemented
74#2724C2212yes—
75#2723C2214yescomplemented
76#2709C2212yes—
77#2709C2212yes—
78#2709C2214yescomplemented
79#2708C2214yescomplemented
80#2706C2214yes—
81#2706C2214yescomplemented
82#2703C2214yescomplemented
83#2703C2214yescomplemented
84#2701C2214yescomplemented
85#2693C2212yescomplemented
86#2691C2214yes—
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2685C2214yescomplemented
90#2671C2214yes—
91#2671C2214yes—
92#2668C2214yes—
93#2650C2214yescomplemented
94#2649C2214yescomplemented
95#2648C2214yescomplemented
96#2636C2214yes—
97#2631C2212yes—
98#2631C2212yescomplemented
99#2617C2214yes—
100#2602C2214yescomplemented
101#2601C2214yescomplemented
102#2598C2214yescomplemented
103#2598C2214yescomplemented
104#2598C2214yescomplemented
105#2597C2214yescomplemented
106#2578C2214yescomplemented
107#2576C2214yescomplemented
108#2571C2212yescomplemented
109#2564C2214yescomplemented
110#2563C2211yescharacteristic
111#2563C2211yescharacteristic, complemented
112#2562C2212yescomplemented
113#2562C2212yescomplemented
114#2559C2214yescomplemented
115#2553C2214yes—
116#2550C2212yescomplemented
117#2541C2211yescharacteristic
118#2541C2211yescharacteristic, complemented
119#2537C2212yescomplemented
120#2535C2212yes—
121#2535C2214yes—
122#2535C2212yescomplemented
123#2535C2212yescomplemented
124#2533C2214yescomplemented
125#2524C2214yescomplemented
126#2521C2214yescomplemented
127#2518C2214yescomplemented
128#2517C2214yescomplemented
129#2516C2214yescomplemented
130#2515C2214yescomplemented
131#2510C2214yescomplemented
132#2510C2214yescomplemented
133#2509C2212yescomplemented
134#2508C2212yescomplemented
135#2505C2214yescomplemented
136#2504C2212yescomplemented
137#2500C2212yescomplemented
138#2497C2212yescomplemented
139#2496C2212yescomplemented
140#2496C2212yescomplemented
141#2495C2212yescomplemented
142#2495C2214yescomplemented
143#2495C2212yescomplemented
144#2495C2214yescomplemented
145#2494C2212yescomplemented
146#2490C2212yescomplemented
147#2490C2212yescomplemented
148#2487C2211yescharacteristic
149#2487C2212yescomplemented
150#2487C2212yescomplemented
151#2487C2211yescharacteristic, complemented
152#2487C2214yescomplemented
153#2486C2211yescharacteristic
154#2486C2211yescharacteristic, complemented
155#2485C2212yes—
156#2485C2212yes—
157#2485C2212yescomplemented
158#2484C2212yescomplemented
159#2483C2212yescomplemented
160#2482C2212yes—
161#2481C2214yescomplemented
162#2481C2214yescomplemented
163#2479C2214yescomplemented
164#2477C2214yescomplemented
165#2476C2214yes—
166#2470C2214yescomplemented
167#2468C2214yescomplemented
168#2467C2214yescomplemented
169#2461C2214yescomplemented
170#2457C2214yes—
171#2457C2214yescomplemented
172#2455C2212yescomplemented
173#2454C2212yescomplemented
174#2445C2212yescomplemented
175#2444C2214yes—
176#2444C2214yescomplemented
177#2442C2212yescomplemented
178#2442C2212yescomplemented
179#2441C2212yescomplemented
180#2441C2212yescomplemented
181#2440C2212yescomplemented
182#2437C2212yescomplemented
183#2433C2212yes—
184#2428C2214yes—
185#2428C2212yescomplemented
186#2424C2214yes—
187#2422C2212yescomplemented
188#2420C2212yescomplemented
189#2420C2212yescomplemented
190#2418C2214yes—
191#2418C2214yes—
192#2418C2214yescomplemented
193#2416C2212yescomplemented
194#2416C2212yescomplemented
195#2416C2212yescomplemented
196#2414C2212yes—
197#2414C2212yescomplemented
198#2411C2214yes—
199#2410C2214yes—
200#2407C2214yes—
201#2406C2214yescomplemented
202#2405C2212yes—
203#2404C2212yes—
204#2404C2212yescomplemented
205#2395C2212yes—
206#2395C2212yescomplemented
207#2377C2214yescomplemented
208#2376C2212yes—
209#2374C2214yescomplemented
210#2373C2214yescomplemented
211#2370C2212yescomplemented
212#2366C2212yes—
213#2364C2214yescomplemented
214#2363C2212yescomplemented
215#2363C2212yescomplemented
216#2361C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2214yescomplemented
219#2361C2214yescomplemented
220#2359C2214yescomplemented
221#2358C2212yes—
222#2358C2214yescomplemented
223#2352C2212yes—
224#2352C2212yescomplemented
225D4×C4⋊C4C2212yescomplemented
226D4×C4⋊C4C2212yescomplemented
227#2347C2212yescomplemented
228#2345C2212yescomplemented
229#2334C2214yescomplemented
230#2333C2214yescomplemented
231#2333C2214yescomplemented
232#2328C2212yes—
233#2328C2212yescomplemented
234#2325C2212yes—
235#2325C2212yes—
236#2322C2211yescharacteristic
237#2322C2212yes—
238#2322C2211yescharacteristic
239#2322C2214yescomplemented
240#2321C2211yescharacteristic
241#2321C2211yescharacteristic
242#2321C2212yes—
243#2321C2214yescomplemented
244#2315C2211yescharacteristic
245#2308C2211yescharacteristic
246#2308C2211yescharacteristic
247C4×#123C2211yescharacteristic
248C4×#123C2212yes—
249C4×#123C2211yescharacteristic
250C4×#123C2212yes—
251C4×#123C2212yescomplemented
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#121C2214yescomplemented
257C4×#120C2211yescharacteristic
258C4×#120C2211yescharacteristic
259C4×#120C2212yes—
260#2296C2212yescomplemented
261#2285C2212yescomplemented
262#2283C2211yescharacteristic, complemented
263#2280C2212yes—
264#2280C2211yescharacteristic, complemented
265C2×#380C2212yescomplemented
266C2×C4×C22⋊C4C2211yescharacteristic
267C22×#41C2312yes—
268C23×D4C2311yescharacteristic
269C23×D4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272C24×C4C2311yescharacteristic
273#560—216no—
274#553—48no—
275#534—28no—
276#532—44no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2311yescharacteristic
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2312yes—
285C2×#125C2312yes—
286C2×#124C2312yes—
287C2×#123C2312yes—
288C2×#123C2311yescharacteristic
289C2×#123C2311yescharacteristic
290C2×#123C2314yes—
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×C22⋊Q8C2314yes—
297C2×#121C2312yes—
298C2×#121C2312yes—
299C2×#121C2314yes—
300C2×#121C2314yes—
301C2×#121C2312yes—
302C2×#121C2314yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2312yes—
306C2×#121C2312yes—
307C2×#121C2312yes—
308C2×#121C2312yes—
309C2×#121C2314yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2314yes—
313C2×#120C2311yescharacteristic
314C2×#120C2312yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2311yescharacteristic
319C2×C4×D4—44no—
320C2×C4×D4—44no—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2312yes—
333C2×C4×D4C2314yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2314yes—
341C2×C4×D4C2314yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2314yes—
345C2×#117—44no—
346C2×#117C2312yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C2×#117C2314yes—
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2312yes—
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2312yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2314yes—
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2314yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2312yes—
371#401C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2312yes—
396#399C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#395C2314yes—
430#395C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#393C2312yes—
454#393C2312yes—
455#393C2312yes—
456#393C2312yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2312yes—
461#392C2314yes—
462#392C2312yes—
463#392C2312yes—
464#392C2312yes—
465#392C2314yes—
466#392C2314yes—
467#391C2314yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2312yes—
472#390C2314yes—
473#390C2314yes—
474#390C2312yes—
475#390C2312yes—
476#390C2314yes—
477#390C2314yes—
478#390C2312yes—
479#390C2312yes—
480#390C2314yes—
481#390C2312yes—
482#390C2314yes—
483#390C2312yes—
484#389C2314yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2314yes—
490#389C2314yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2312yes—
505#388C2314yes—
506#388C2314yes—
507#388C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2312yes—
512#388C2312yes—
513#388C2312yes—
514#388C2312yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#387C2314yes—
543#387C2314yes—
544#387C2314yes—
545#387C2312yes—
546#387C2312yes—
547#387C2312yes—
548#387C2312yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2314yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#386C2311yescharacteristic
568#386C2311yescharacteristic
569#386C2312yes—
570#386C2311yescharacteristic
571#386C2312yes—
572#386C2311yescharacteristic
573#386C2312yes—
574#386C2312yes—
575#386C2312yes—
576#386C2312yes—
577#386C2312yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2312yes—
582#386C2312yes—
583#386C2312yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#385C2312yes—
617#385C2314yes—
618#385C2311yescharacteristic
619#385C2311yescharacteristic
620#385C2312yes—
621#385C2311yescharacteristic
622#385C2312yes—
623#385C2311yescharacteristic
624#385C2314yes—
625#385C2314yes—
626#385C2312yes—
627#385C2312yes—
628#385C2312yes—
629#385C2312yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#384C2312yes—
648#384C2312yes—
649#383C2314yes—
650#383C2314yes—
651#383C2314yes—
652#383C2312yes—
653#382C2312yes—
654#382C2312yes—
655#382C2312yes—
656#382C2312yes—
657#382C2314yes—
658#382C2314yes—
659#382C2312yes—
660#382C2314yes—
661#381C2312yes—
662#381C2311yescharacteristic
663#381C2311yescharacteristic
664#381C2314yes—
665#381C2314yes—
666#381C2312yes—
667#381C2312yes—
668#381C2314yes—
669#381C2312yes—
670#381C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2312yes—
695#380C2312yes—
696#380C2311yescharacteristic
697#380C2311yescharacteristic
698#379C2311yescharacteristic
699#379C2312yes—
700#379C2311yescharacteristic
701#379C2314yes—
702#379C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2314yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2311yescharacteristic
719C4×C22⋊C4C2311yescharacteristic
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2311yescharacteristic
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2311yescharacteristic
738#376C2312yes—
739C2×#95C2314yes—
740C2×#95C2312yes—
741C25C2411yescharacteristic
742C25C2411yescharacteristic
743C25C2411yescharacteristic
744C2×#41—44no—
745C2×#41—84no—
746C22×Q8C2412yes—
747C22×D4—24no—
748C22×D4—24no—
749C22×D4—42no—
750C22×D4—42no—
751C22×D4—42no—
752C22×D4—42no—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2412yes—
770C22×D4C2411yescharacteristic
771C23×C4—24no—
772C23×C4—24no—
773C23×C4—44no—
774C23×C4—42no—
775C23×C4—44no—
776C23×C4—44no—
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2411yescharacteristic
793C23×C4C2411yescharacteristic
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2412yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2411yescharacteristic
801C23×C4C2414yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C4⋊Q8—42no—
805#127—28no—
806#127—42no—
807#127—44no—
808#126—216no—
809#126—48no—
810#126—84no—
811#125—44no—
812#125—44no—
813#124—44no—
814#123—24no—
815#123—28no—
816#123—28no—
817#123—24no—
818#123—216no—
819#123—44no—
820#123—48no—
821#123—48no—
822#123—84no—
823C22⋊Q8—84no—
824#121—28no—
825#121—216no—
826#121—216no—
827#121—28no—
828#121—28no—
829#121—216no—
830#121—48no—
831#121—48no—
832#121—44no—
833#121—44no—
834#121—44no—
835#121—44no—
836#121—44no—
837#121—44no—
838#121—44no—
839#121—84no—
840#120—24no—
841#120—216no—
842#120—28no—
843#120—84no—
844#120—84no—
845#120#4118yescomplemented
846C4×D4—28no—
847C4×D4—44no—
848C4×D4—48no—
849C4×D4—44no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—42no—
853C4×D4—42no—
854C4×D4—42no—
855C4×D4—42no—
856C4×D4—42no—
857C4×D4—42no—
858C4×D4—42no—
859C4×D4—42no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—84no—
866C4×D4—84no—
867C4×D4—84no—
868C4×D4—84no—
869C4×D4—84no—
870#117—28no—
871#117—44no—
872#117—44no—
873#117—44no—
874#117—44no—
875#117—84no—
876C2×C4⋊C4—44no—
877C2×C4⋊C4—42no—
878C2×C4⋊C4—42no—
879C2×C4⋊C4—42no—
880C2×C4⋊C4—44no—
881C2×C4⋊C4—42no—
882C2×C4⋊C4—84no—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C22⋊C4—24no—
928C2×C22⋊C4—42no—
929C2×C22⋊C4—44no—
930C2×C22⋊C4—42no—
931C2×C22⋊C4—42no—
932C2×C22⋊C4—42no—
933C2×C22⋊C4—42no—
934C2×C22⋊C4—84no—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2411yescharacteristic
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2411yescharacteristic
953C2×C22⋊C4C2411yescharacteristic
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2411yescharacteristic
956C2×C22⋊C4C2411yescharacteristic
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2411yescharacteristic
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2412yes—
1002C2×C42—24no—
1003C2×C42—44no—
1004C2×C42—42no—
1005C2×C42—44no—
1006C2×C42C2414yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—41no—
1087C24—42no—
1088C24—42no—
1089C24—42no—
1090C24—41no—
1091C24—41no—
1092C24—42no—
1093C24—42no—
1094C24—42no—
1095C24C2×#4114yes—
1096C24C2511yescharacteristic
1097C24C2514yes—
1098C24C2511yescharacteristic
1099C24C2512yes—
1100C24C2511yescharacteristic
1101C24C2511yescharacteristic
1102C24C2511yescharacteristic
1103#41—816no—
1104C2×Q8—44no—
1105C2×Q8—42no—
1106C2×D4—24no—
1107C2×D4—22no—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—24no—
1111C2×D4—24no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—22no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—41no—
1136C2×D4—44no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—416no—
1158C2×D4—416no—
1159C2×D4C2×#4118yes—
1160C2×D4C2×#4114yes—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—28no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—42no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—416no—
1227C22×C4—88no—
1228C22×C4—88no—
1229C22×C4H(5,𝔽2)14yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2514yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2514yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2514yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2514yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C22⋊C4—22no—
1299C22⋊C4—24no—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—28no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—41no—
1314C22⋊C4—42no—
1315C22⋊C4—41no—
1316C22⋊C4—44no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
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—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4C2×#4114yes—
1364C22⋊C4C2×#4118yes—
1365C42—24no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—28no—
1371C42—24no—
1372C42—24no—
1373C42—24no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—42no—
1384C23—28no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—22no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—21no—
1408C23—24no—
1409C23—24no—
1410C23—21no—
1411C23—24no—
1412C23—24no—
1413C23—24no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—24no—
1418C23—24no—
1419C23—44no—
1420C23—48no—
1421C23—44no—
1422C23—44no—
1423C23—82no—
1424C23—84no—
1425C23—84no—
1426C23—82no—
1427C23—82no—
1428C23—84no—
1429C23—82no—
1430C23—82no—
1431C23—84no—
1432C23—84no—
1433C23C22×#4112yes—
1434C23C22×#4114yes—
1435C23C22×#4112yes—
1436C23C2×H(5,𝔽2)12yes—
1437C23#58512yes—
1438C23C2611yescharacteristic
1439Q8—84no—
1440D4—44no—
1441D4—48no—
1442D4—44no—
1443D4—48no—
1444D4—44no—
1445D4—48no—
1446D4—44no—
1447D4—48no—
1448D4—84no—
1449D4—88no—
1450D4—84no—
1451D4—88no—
1452D4—88no—
1453D4—88no—
1454D4—88no—
1455D4—88no—
1456D4—84no—
1457D4—164no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—28no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—24no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—48no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—48no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—84no—
1531C2×C4—88no—
1532C2×C4—82no—
1533C2×C4—82no—
1534C2×C4—84no—
1535C2×C4—82no—
1536C2×C4—84no—
1537C2×C4—82no—
1538C2×C4—82no—
1539C2×C4—84no—
1540C2×C4—88no—
1541C2×C4—164no—
1542C2×C4—164no—
1543C2×C4—164no—
1544C2×C4C22×#4112yes—
1545C2×C4C22×#4114yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×H(5,𝔽2)12yes—
1548C2×C4#58514yes—
1549C22—22no—
1550C22—24no—
1551C22—24no—
1552C22—24no—
1553C22—24no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—24no—
1559C22—22no—
1560C22—24no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—41no—
1568C22—41no—
1569C22—42no—
1570C22—41no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—41no—
1577C22—44no—
1578C22—44no—
1579C22—44no—
1580C22—42no—
1581C22—41no—
1582C22—44no—
1583C22—44no—
1584C22—41no—
1585C22—44no—
1586C22—42no—
1587C22—44no—
1588C22—88no—
1589C22—88no—
1590C22—88no—
1591C22C23×#4111yescharacteristic
1592C22C22×H(5,𝔽2)11yescharacteristic
1593C22C2×#58512yes—
1594C22C2×#58511yescharacteristic
1595C22H(7,𝔽2)12yes—
1596C4—22no—
1597C4—24no—
1598C4—22no—
1599C4—41no—
1600C4—41no—
1601C4—42no—
1602C4—41no—
1603C4—41no—
1604C4—42no—
1605C4—44no—
1606C4—44no—
1607C4—41no—
1608C4—42no—
1609C4—44no—
1610C4—41no—
1611C4—41no—
1612C4—42no—
1613C4—44no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4—44no—
1618C4—44no—
1619C4#353314yes—
1620C2—42no—
1621C2—44no—
1622C2—42no—
1623C2—42no—
1624C2—42no—
1625C2—84no—
1626C2—81no—
1627C2C2×#353311yescharacteristic
1628C2#6277311yescharacteristic
1629C2#6287411yescharacteristic
1630C2#6290812yes—
1631C2#6299212yes—
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. #59632C2semidirect
2. #59299C2semidirect
3. #59220C2semidirect
4. #59199C2semidirect
5. #59117C2semidirect
6. #49380C2semidirect
7. #48058C2semidirect
8. #47846C2semidirect
9. #47436C2semidirect
10. #47037C2semidirect
11. #47004C2semidirect
12. #45696C2semidirect
13. #45688C2semidirect
14. #45478C2semidirect
15. #44655C2semidirect
16. #41793C2semidirect
17. #41627C2semidirect
18. #40368C2semidirect
19. #40168C2semidirect
20. #39910C2semidirect
21. #39902C2semidirect
22. #39733C2semidirect
23. #39246C2semidirect
24. #37080C2semidirect
25. #36438C2semidirect
26. #36208C2semidirect
27. #36157C2semidirect
28. #35237C2semidirect
29. #34809C2semidirect
30. #34518C2semidirect
31. C4×#534C2semidirect
35. C2×#532C22semidirect
38. C22×#117C22semidirect
39. #2854C22semidirect
40. #2852C22semidirect
41. #2851C22semidirect
42. #2851C22semidirect
44. #2847C22semidirect
45. #2847C22semidirect
46. #2836C22semidirect
47. #2835C22semidirect
48. #2812C22semidirect
49. #2800C22semidirect
50. #2796C22semidirect
51. #2786C22semidirect
52. #2782C22semidirect
53. #2782C22semidirect
54. #2781C22semidirect
55. #2778C22semidirect
56. #2771C22semidirect
57. #2767C22semidirect
58. #2766C22semidirect
59. #2764C22semidirect
61. #2752C22semidirect
63. #2750C22semidirect
64. #2750C22semidirect
65. #2750C22semidirect
68. #2745C22semidirect
69. #2743C22semidirect
70. #2743C22semidirect
71. #2742C22semidirect
72. #2742C22semidirect
73. #2739C22semidirect
75. #2723C22semidirect
78. #2709C22semidirect
79. #2708C22semidirect
81. #2706C22semidirect
82. #2703C22semidirect
83. #2703C22semidirect
84. #2701C22semidirect
85. #2693C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
89. #2685C22semidirect
93. #2650C22semidirect
94. #2649C22semidirect
95. #2648C22semidirect
98. #2631C22semidirect
100. #2602C22semidirect
101. #2601C22semidirect
102. #2598C22semidirect
103. #2598C22semidirect
104. #2598C22semidirect
105. #2597C22semidirect
106. #2578C22semidirect
107. #2576C22semidirect
108. #2571C22semidirect
109. #2564C22semidirect
111. #2563C22semidirect
112. #2562C22semidirect
113. #2562C22semidirect
114. #2559C22semidirect
116. #2550C22semidirect
118. #2541C22semidirect
119. #2537C22semidirect
122. #2535C22semidirect
123. #2535C22semidirect
124. #2533C22semidirect
125. #2524C22semidirect
126. #2521C22semidirect
127. #2518C22semidirect
128. #2517C22semidirect
129. #2516C22semidirect
130. #2515C22semidirect
131. #2510C22semidirect
132. #2510C22semidirect
133. #2509C22semidirect
134. #2508C22semidirect
135. #2505C22semidirect
136. #2504C22semidirect
137. #2500C22semidirect
138. #2497C22semidirect
139. #2496C22semidirect
140. #2496C22semidirect
141. #2495C22semidirect
142. #2495C22semidirect
143. #2495C22semidirect
144. #2495C22semidirect
145. #2494C22semidirect
146. #2490C22semidirect
147. #2490C22semidirect
149. #2487C22semidirect
150. #2487C22semidirect
151. #2487C22semidirect
152. #2487C22semidirect
154. #2486C22semidirect
157. #2485C22semidirect
158. #2484C22semidirect
159. #2483C22semidirect
161. #2481C22semidirect
162. #2481C22semidirect
163. #2479C22semidirect
164. #2477C22semidirect
166. #2470C22semidirect
167. #2468C22semidirect
168. #2467C22semidirect
169. #2461C22semidirect
171. #2457C22semidirect
172. #2455C22semidirect
173. #2454C22semidirect
174. #2445C22semidirect
176. #2444C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
179. #2441C22semidirect
180. #2441C22semidirect
181. #2440C22semidirect
182. #2437C22semidirect
185. #2428C22semidirect
187. #2422C22semidirect
188. #2420C22semidirect
189. #2420C22semidirect
192. #2418C22semidirect
193. #2416C22semidirect
194. #2416C22semidirect
195. #2416C22semidirect
197. #2414C22semidirect
201. #2406C22semidirect
204. #2404C22semidirect
206. #2395C22semidirect
207. #2377C22semidirect
209. #2374C22semidirect
210. #2373C22semidirect
211. #2370C22semidirect
213. #2364C22semidirect
214. #2363C22semidirect
215. #2363C22semidirect
216. #2361C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
220. #2359C22semidirect
222. #2358C22semidirect
224. #2352C22semidirect
225. D4×C4⋊C4C22semidirect
226. D4×C4⋊C4C22semidirect
227. #2347C22semidirect
228. #2345C22semidirect
229. #2334C22semidirect
230. #2333C22semidirect
231. #2333C22semidirect
233. #2328C22semidirect
239. #2322C22semidirect
243. #2321C22semidirect
251. C4×#123C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect
260. #2296C22semidirect
261. #2285C22semidirect
262. #2283C22semidirect
264. #2280C22semidirect
265. C2×#380C22semidirect
845. #120#41semidirect

Maximal subgroups

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

subgroupindex
#596322
#592992
#592202
#591992
#591172
#493802
#480582
#478462
#474362
#470372
#470042
#456962
#456882
#454782
#446552
#417932
#416272
#403682
#401682
#399102
#399022
#397332
#392462
#370802
#364382
#362082
#361572
#352372
#348092
#345182
C4×#5342