Finite Group Databasebeta

← #8157339

Subgroups — #8157339

Order 512.

5068 conjugacy classes of subgroups.

The subgroup lattice has 1593 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59224C212yesmaximal, complemented
2#59208C212yesmaximal, complemented
3#57258C214yesmaximal, complemented
4#56793C214yesmaximal, complemented
5#56307C214yesmaximal, complemented
6#54756C214yesmaximal, complemented
7#53057C212yesmaximal, complemented
8#52997C212yesmaximal, complemented
9#52319C214yesmaximal, complemented
10#45056C212yesmaximal, complemented
11#44873C212yesmaximal, complemented
12#42611C212yesmaximal, complemented
13#42590C212yesmaximal, complemented
14#42522C212yesmaximal, complemented
15#42439C212yesmaximal, complemented
16#40785C214yesmaximal, complemented
17#39503C211yesmaximal, characteristic, complemented
18#39367C211yesmaximal, characteristic, complemented
19#38100C212yesmaximal, complemented
20#37881C212yesmaximal, complemented
21#37752C212yesmaximal, complemented
22#37694C212yesmaximal, complemented
23#37452C212yesmaximal, complemented
24#36720C212yesmaximal, complemented
25#36154C211yesmaximal, characteristic, complemented
26#36100C211yesmaximal, characteristic, complemented
27#35104C211yesmaximal, characteristic, complemented
28C2×#2445C211yesmaximal, characteristic, complemented
29#34584C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#547C2211yescharacteristic, complemented
32C2×#543C2212yes—
33C2×#540C2212yes—
34C22×#127C2211yescharacteristic
35C2×#525C2212yes—
36C22×#123C2212yes—
37C22×C4×D4C2211yescharacteristic
38#2857C2211yescharacteristic
39#2857C2211yescharacteristic
40#2851C2212yes—
41#2848C2212yes—
42#2848C2212yes—
43#2837C2214yescomplemented
44#2837C2214yescomplemented
45#2832C2214yescomplemented
46#2829C2214yescomplemented
47#2829C2214yescomplemented
48#2827C2214yescomplemented
49#2826C2214yescomplemented
50#2824C2214yescomplemented
51#2816C2214yescomplemented
52#2814C2214yescomplemented
53#2814C2214yescomplemented
54#2813C2214yescomplemented
55#2808C2212yescomplemented
56#2803C2214yescomplemented
57#2795C2214yescomplemented
58#2791C2214yescomplemented
59#2790C2214yescomplemented
60#2788C2214yescomplemented
61#2781C2214yescomplemented
62#2781C2214yescomplemented
63#2779C2214yescomplemented
64#2757C2214yescomplemented
65#2756C2214yescomplemented
66#2755C2214yescomplemented
67#2750C2214yescomplemented
68#2749C2214yescomplemented
69#2741C2214yescomplemented
70#2741C2214yescomplemented
71#2741C2214yescomplemented
72#2737C2214yescomplemented
73#2733C2212yescomplemented
74#2732C2212yescomplemented
75#2730C2214yescomplemented
76#2728C2214yescomplemented
77#2718C2214yescomplemented
78#2712C2214yescomplemented
79#2709C2214yes—
80#2709C2214yes—
81#2708C2214yescomplemented
82#2706C2214yescomplemented
83#2702C2214yescomplemented
84#2701C2214yescomplemented
85#2696C2214yescomplemented
86#2692C2214yescomplemented
87#2691C2214yescomplemented
88#2687C2214yescomplemented
89#2687C2214yescomplemented
90#2687C2214yescomplemented
91#2687C2214yescomplemented
92#2687C2214yescomplemented
93#2687C2214yescomplemented
94#2686C2214yescomplemented
95#2683C2212yescomplemented
96#2681C2214yescomplemented
97#2680C2214yescomplemented
98#2680C2214yescomplemented
99#2680C2214yescomplemented
100#2680C2214yescomplemented
101#2676C2214yescomplemented
102#2673C2214yes—
103#2673C2214yes—
104#2672C2214yescomplemented
105#2655C2212yescomplemented
106#2654C2212yescomplemented
107#2653C2214yescomplemented
108#2653C2214yescomplemented
109#2651C2212yescomplemented
110#2650C2212yescomplemented
111#2647C2212yescomplemented
112#2646C2211yescharacteristic
113#2643C2212yes—
114#2641C2212yes—
115#2639C2211yescharacteristic
116#2630C2214yescomplemented
117#2630C2214yescomplemented
118#2630C2214yescomplemented
119#2629C2212yescomplemented
120#2627C2211yescharacteristic
121#2627C2212yes—
122#2627C2212yes—
123#2626C2212yes—
124#2623C2212yes—
125#2620C2214yescomplemented
126#2619C2212yes—
127#2618C2211yescharacteristic
128#2618C2214yescomplemented
129#2618C2214yescomplemented
130#2617C2212yes—
131#2610C2214yescomplemented
132#2606C2214yescomplemented
133#2605C2214yescomplemented
134#2603C2214yescomplemented
135#2579C2214yes—
136#2570C2212yescomplemented
137#2570C2212yescomplemented
138#2570C2212yescomplemented
139#2566C2212yescomplemented
140#2563C2212yescomplemented
141#2563C2211yescharacteristic, complemented
142#2561C2214yes—
143#2552C2212yescomplemented
144#2550C2212yescomplemented
145#2550C2212yescomplemented
146#2542C2212yescomplemented
147#2542C2211yescharacteristic, complemented
148#2538C2211yescharacteristic, complemented
149#2538C2212yescomplemented
150#2537C2211yescharacteristic, complemented
151#2534C2214yes—
152#2531C2214yescomplemented
153#2526C2214yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2513C2212yescomplemented
157#2513C2212yescomplemented
158#2512C2212yescomplemented
159#2505C2214yes—
160#2504C2212yescomplemented
161#2502C2214yes—
162#2500C2212yescomplemented
163#2500C2212yescomplemented
164#2498C2214yescomplemented
165#2498C2214yescomplemented
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2490C2212yescomplemented
169#2488C2214yescomplemented
170#2487C2212yescomplemented
171#2483C2214yes—
172#2481C2214yescomplemented
173#2480C2214yes—
174#2477C2214yescomplemented
175#2477C2214yescomplemented
176#2472C2214yes—
177#2472C2214yes—
178#2463C2214yescomplemented
179#2455C2214yescomplemented
180#2454C2212yescomplemented
181#2452C2212yescomplemented
182#2452C2212yescomplemented
183#2450C2214yes—
184#2450C2214yescomplemented
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yes—
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2214yes—
192#2445C2214yes—
193#2442C2212yes—
194#2442C2212yescomplemented
195#2440C2212yes—
196#2439C2212yescomplemented
197#2437C2214yes—
198#2437C2214yes—
199#2430C2214yescomplemented
200#2428C2212yes—
201#2428C2212yes—
202#2427C2214yescomplemented
203#2422C2212yescomplemented
204#2422C2214yescomplemented
205#2420C2212yescomplemented
206#2420C2212yescomplemented
207#2418C2214yes—
208#2417C2212yescomplemented
209#2415C2212yescomplemented
210#2414C2212yescomplemented
211#2413C2214yescomplemented
212#2412C2214yes—
213#2410C2214yes—
214#2410C2214yes—
215#2408C2212yes—
216#2408C2212yes—
217#2407C2212yescomplemented
218#2407C2214yescomplemented
219#2405C2214yes—
220#2405C2214yes—
221#2402C2212yescomplemented
222#2401C2212yescomplemented
223#2396C2212yescomplemented
224#2395C2212yescomplemented
225C2×#394C2212yes—
226C2×#394C2212yes—
227#2363C2212yescomplemented
228#2361C2212yescomplemented
229#2361C2212yescomplemented
230#2358C2214yes—
231#2357C2212yescomplemented
232#2354C2211yescharacteristic, complemented
233#2354C2212yescomplemented
234#2352C2212yes—
235#2349C2212yescomplemented
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2211yescharacteristic, complemented
238#2342C2214yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241#2331C2212yescomplemented
242#2329C2212yes—
243#2329C2212yes—
244#2328C2212yes—
245#2317C2212yescomplemented
246#2312C2212yes—
247C4×C22⋊Q8C2211yescharacteristic
248C4×#123C2212yes—
249C4×#121C2211yescharacteristic
250C2×#390C2211yescharacteristic
251C2×#390C2211yescharacteristic
252C2×#390C2211yescharacteristic
253C2×#389C2211yescharacteristic
254#2290C2212yes—
255C2×#386C2212yes—
256#2283C2212yes—
257C2×#380C2212yes—
258C2×C4×C4⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2312yes—
264C24×C4C2312yes—
265#554—44no—
266#547—44no—
267#543—48no—
268#540—48no—
269C2×C4⋊Q8C2312yes—
270C2×C4⋊Q8C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×#127—44no—
273C2×#127C2312yes—
274C2×#127C2312yes—
275C2×#127C2314yes—
276C2×#126C2314yes—
277C2×#125C2312yes—
278C2×#125C2312yes—
279C2×#124C2314yes—
280C2×#124C2314yes—
281#525—48no—
282C2×#123—48no—
283C2×#123C2312yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2314yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2314yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×#121C2311yescharacteristic
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2314yes—
318C2×#121C2314yes—
319C2×#120C2314yes—
320C2×#120C2314yes—
321C2×C4×Q8C2311yescharacteristic
322C2×C4×D4—44no—
323C2×C4×D4C2312yes—
324C2×C4×D4C2312yes—
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2312yes—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2314yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2314yes—
338C2×#117C2312yes—
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2314yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2312yes—
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2312yes—
352C22×C22⋊C4C2314yes—
353C22×C22⋊C4C2314yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2312yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2312yes—
373#400C2312yes—
374#400C2312yes—
375#400C2312yes—
376#400C2312yes—
377#400C2312yes—
378#400C2314yes—
379#399C2312yes—
380#399C2314yes—
381#399C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2312yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2312yes—
399#398C2312yes—
400#398C2312yes—
401#398C2312yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2312yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2312yes—
423#397C2312yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2312yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#393C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2312yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2314yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2312yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2312yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2312yes—
616#386C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2312yes—
645#385C2312yes—
646#385C2314yes—
647#384C2312yes—
648#384C2311yescharacteristic
649#384C2311yescharacteristic
650#384C2312yes—
651#384C2314yes—
652#384C2314yes—
653#383C2314yes—
654#382C2312yes—
655#382C2312yes—
656#382C2312yes—
657#382C2312yes—
658#382C2312yes—
659#382C2314yes—
660#381C2314yes—
661#381C2312yes—
662#381C2314yes—
663#381C2314yes—
664#381C2314yes—
665#380C2312yes—
666#380C2314yes—
667#380C2314yes—
668#380C2312yes—
669#380C2311yescharacteristic
670#380C2312yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2314yes—
682#380C2311yescharacteristic
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714#376C2312yes—
715#376C2314yes—
716C2×#95C2311yescharacteristic
717C2×#95C2311yescharacteristic
718C2×#95C2314yes—
719C2×#95C2312yes—
720C25C2412yes—
721C25C2412yes—
722C2×#41—44no—
723C2×#41—44no—
724C2×#41—82no—
725C22×Q8C2411yescharacteristic
726C22×Q8C2412yes—
727C22×Q8C2414yes—
728C22×Q8C2412yes—
729C22×D4—24no—
730C22×D4—24no—
731C22×D4—24no—
732C22×D4—42no—
733C22×D4—42no—
734C22×D4—42no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—82no—
740C22×D4—82no—
741C22×D4C2412yes—
742C22×D4C2411yescharacteristic
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2411yescharacteristic
746C22×D4C2411yescharacteristic
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2412yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C23×C4—28no—
757C23×C4—44no—
758C23×C4—82no—
759C23×C4C2411yescharacteristic
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2412yes—
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2412yes—
768C23×C4C2414yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2411yescharacteristic
778C4⋊Q8—44no—
779C4⋊Q8—42no—
780C4⋊Q8—42no—
781#127—28no—
782#127—44no—
783#127—48no—
784#126—84no—
785#125—44no—
786#125—44no—
787#124—84no—
788#124—84no—
789#123—48no—
790#123—48no—
791#123—48no—
792#123—48no—
793#123—48no—
794#123—48no—
795#123—48no—
796#123—44no—
797#123—48no—
798#123—84no—
799#123—84no—
800C22⋊Q8—28no—
801C22⋊Q8—24no—
802C22⋊Q8—44no—
803C22⋊Q8—48no—
804C22⋊Q8—44no—
805C22⋊Q8—48no—
806C22⋊Q8—44no—
807C22⋊Q8—48no—
808C22⋊Q8—48no—
809C22⋊Q8—48no—
810C22⋊Q8—48no—
811C22⋊Q8—44no—
812C22⋊Q8—84no—
813C22⋊Q8—82no—
814C22⋊Q8—82no—
815#121—28no—
816#121—24no—
817#121—48no—
818#121—44no—
819#121—44no—
820#121—44no—
821#121—44no—
822#121—48no—
823#121—84no—
824#121—84no—
825#120—48no—
826#120—48no—
827C4×Q8—42no—
828C4×D4—24no—
829C4×D4—24no—
830C4×D4—28no—
831C4×D4—28no—
832C4×D4—42no—
833C4×D4—42no—
834C4×D4—44no—
835C4×D4—44no—
836C4×D4—44no—
837C4×D4—42no—
838C4×D4—48no—
839C4×D4—44no—
840C4×D4—44no—
841C4×D4—48no—
842C4×D4—84no—
843#117—44no—
844#117—44no—
845#117—44no—
846#117—84no—
847C2×C4⋊C4—24no—
848C2×C4⋊C4—42no—
849C2×C4⋊C4—42no—
850C2×C4⋊C4—44no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4—44no—
853C2×C4⋊C4—44no—
854C2×C4⋊C4—82no—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2412yes—
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2412yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2412yes—
868C2×C4⋊C4C2411yescharacteristic
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2411yescharacteristic
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C22⋊C4—28no—
913C2×C22⋊C4—48no—
914C2×C22⋊C4—44no—
915C2×C22⋊C4—48no—
916C2×C22⋊C4—44no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4—82no—
919C2×C22⋊C4—82no—
920C2×C22⋊C4—82no—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C42—24no—
982C2×C42—42no—
983C2×C42—42no—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2414yes—
999C2×C42C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2412yes—
1015#95C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056C24—24no—
1057C24—24no—
1058C24—24no—
1059C24—24no—
1060C24—24no—
1061C24—24no—
1062C24—24no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24C2514yes—
1071C24C2512yes—
1072C24C2512yes—
1073C24C2512yes—
1074C24C2511yescharacteristic
1075#41—816no—
1076C2×Q8—22no—
1077C2×Q8—24no—
1078C2×Q8—41no—
1079C2×Q8—42no—
1080C2×Q8—41no—
1081C2×Q8—42no—
1082C2×Q8—44no—
1083C2×Q8—42no—
1084C2×Q8—42no—
1085C2×Q8—44no—
1086C2×Q8—42no—
1087C2×Q8—44no—
1088C2×D4—24no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—22no—
1096C2×D4—24no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—24no—
1100C2×D4—22no—
1101C2×D4—24no—
1102C2×D4—24no—
1103C2×D4—22no—
1104C2×D4—24no—
1105C2×D4—22no—
1106C2×D4—416no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—41no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—88no—
1134C2×D4—816no—
1135C2×D4—816no—
1136C2×D4H(5,𝔽2)14yes—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—28no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—24no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—42no—
1162C22×C4—41no—
1163C22×C4—42no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—42no—
1172C22×C4—41no—
1173C22×C4—42no—
1174C22×C4—44no—
1175C22×C4—42no—
1176C22×C4—44no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—42no—
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—816no—
1193C22×C4H(5,𝔽2)14yes—
1194C22×C42−1+414yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2514yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—41no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—41no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—41no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
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—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C42—24no—
1337C42—22no—
1338C42—22no—
1339C42—24no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—41no—
1345C42—41no—
1346C42—42no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—44no—
1351C42—44no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—24no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—24no—
1368C23—22no—
1369C23—22no—
1370C23—24no—
1371C23—22no—
1372C23—22no—
1373C23—24no—
1374C23—22no—
1375C23—22no—
1376C23—24no—
1377C23—22no—
1378C23—22no—
1379C23—24no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—48no—
1384C23—48no—
1385C23—48no—
1386C23—48no—
1387C23—48no—
1388C23—84no—
1389C23—84no—
1390C23—84no—
1391C23—84no—
1392C23—84no—
1393C23—84no—
1394C23—84no—
1395C23—84no—
1396C23—84no—
1397C23C2×H(5,𝔽2)14yes—
1398C23C2×H(5,𝔽2)12yes—
1399C23C2×2−1+412yes—
1400C23#58512yes—
1401C23C2611yescharacteristic
1402Q8—82no—
1403Q8—84no—
1404Q8—162no—
1405Q8—164no—
1406D4—28no—
1407D4—48no—
1408D4—44no—
1409D4—48no—
1410D4—44no—
1411D4—48no—
1412D4—84no—
1413D4—88no—
1414D4—88no—
1415D4—88no—
1416D4—88no—
1417D4—88no—
1418D4—88no—
1419D4—88no—
1420D4—164no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—28no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—44no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—48no—
1495C2×C4—84no—
1496C2×C4—84no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4—88no—
1500C2×C4—84no—
1501C2×C4—84no—
1502C2×C4—88no—
1503C2×C4—164no—
1504C2×C4—164no—
1505C2×C4—164no—
1506C2×C4C2×H(5,𝔽2)12yes—
1507C2×C4C2×H(5,𝔽2)12yes—
1508C2×C4C2×H(5,𝔽2)12yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4#58512yes—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—24no—
1519C22—24no—
1520C22—24no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—44no—
1528C22—42no—
1529C22—42no—
1530C22—44no—
1531C22—42no—
1532C22—42no—
1533C22—44no—
1534C22—42no—
1535C22—42no—
1536C22—44no—
1537C22—44no—
1538C22—42no—
1539C22—42no—
1540C22—44no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—44no—
1545C22—42no—
1546C22—816no—
1547C22—168no—
1548C22#354714yes—
1549C22C22×H(5,𝔽2)11yescharacteristic
1550C22C22×H(5,𝔽2)11yescharacteristic
1551C22C22×2−1+411yescharacteristic
1552C22C2×#58511yescharacteristic
1553C22C2×#58511yescharacteristic
1554C22H(7,𝔽2)11yescharacteristic
1555C22H(7,𝔽2)11yescharacteristic
1556C4—22no—
1557C4—22no—
1558C4—22no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—44no—
1568C4—42no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—41no—
1574C4—44no—
1575C4—42no—
1576C4—44no—
1577C4—42no—
1578C4—44no—
1579C4#353514yes—
1580C2—24no—
1581C2—44no—
1582C2—82no—
1583C2—82no—
1584C2—84no—
1585C2C2×#353511yescharacteristic
1586C2C2×#354711yescharacteristic
1587C2#6288111yescharacteristic
1588C2#6289211yescharacteristic
1589C2#6291811yescharacteristic
1590C2#6295511yescharacteristic
1591C2#6296511yescharacteristic
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. #59224C2semidirect
2. #59208C2semidirect
3. #57258C2semidirect
4. #56793C2semidirect
5. #56307C2semidirect
6. #54756C2semidirect
7. #53057C2semidirect
8. #52997C2semidirect
9. #52319C2semidirect
10. #45056C2semidirect
11. #44873C2semidirect
12. #42611C2semidirect
13. #42590C2semidirect
14. #42522C2semidirect
15. #42439C2semidirect
16. #40785C2semidirect
17. #39503C2semidirect
18. #39367C2semidirect
19. #38100C2semidirect
20. #37881C2semidirect
21. #37752C2semidirect
22. #37694C2semidirect
23. #37452C2semidirect
24. #36720C2semidirect
25. #36154C2semidirect
26. #36100C2semidirect
27. #35104C2semidirect
28. C2×#2445C2semidirect
29. #34584C2semidirect
30. C2×#554C22semidirect
31. C2×#547C22semidirect
43. #2837C22semidirect
44. #2837C22semidirect
45. #2832C22semidirect
46. #2829C22semidirect
47. #2829C22semidirect
48. #2827C22semidirect
49. #2826C22semidirect
50. #2824C22semidirect
51. #2816C22semidirect
52. #2814C22semidirect
53. #2814C22semidirect
54. #2813C22semidirect
55. #2808C22semidirect
56. #2803C22semidirect
57. #2795C22semidirect
58. #2791C22semidirect
59. #2790C22semidirect
60. #2788C22semidirect
61. #2781C22semidirect
62. #2781C22semidirect
63. #2779C22semidirect
64. #2757C22semidirect
65. #2756C22semidirect
66. #2755C22semidirect
67. #2750C22semidirect
68. #2749C22semidirect
69. #2741C22semidirect
70. #2741C22semidirect
71. #2741C22semidirect
72. #2737C22semidirect
73. #2733C22semidirect
74. #2732C22semidirect
75. #2730C22semidirect
76. #2728C22semidirect
77. #2718C22semidirect
78. #2712C22semidirect
81. #2708C22semidirect
82. #2706C22semidirect
83. #2702C22semidirect
84. #2701C22semidirect
85. #2696C22semidirect
86. #2692C22semidirect
87. #2691C22semidirect
88. #2687C22semidirect
89. #2687C22semidirect
90. #2687C22semidirect
91. #2687C22semidirect
92. #2687C22semidirect
93. #2687C22semidirect
94. #2686C22semidirect
95. #2683C22semidirect
96. #2681C22semidirect
97. #2680C22semidirect
98. #2680C22semidirect
99. #2680C22semidirect
100. #2680C22semidirect
101. #2676C22semidirect
104. #2672C22semidirect
105. #2655C22semidirect
106. #2654C22semidirect
107. #2653C22semidirect
108. #2653C22semidirect
109. #2651C22semidirect
110. #2650C22semidirect
111. #2647C22semidirect
116. #2630C22semidirect
117. #2630C22semidirect
118. #2630C22semidirect
119. #2629C22semidirect
125. #2620C22semidirect
128. #2618C22semidirect
129. #2618C22semidirect
131. #2610C22semidirect
132. #2606C22semidirect
133. #2605C22semidirect
134. #2603C22semidirect
136. #2570C22semidirect
137. #2570C22semidirect
138. #2570C22semidirect
139. #2566C22semidirect
140. #2563C22semidirect
141. #2563C22semidirect
143. #2552C22semidirect
144. #2550C22semidirect
145. #2550C22semidirect
146. #2542C22semidirect
147. #2542C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2537C22semidirect
152. #2531C22semidirect
153. #2526C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2513C22semidirect
157. #2513C22semidirect
158. #2512C22semidirect
160. #2504C22semidirect
162. #2500C22semidirect
163. #2500C22semidirect
164. #2498C22semidirect
165. #2498C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2490C22semidirect
169. #2488C22semidirect
170. #2487C22semidirect
172. #2481C22semidirect
174. #2477C22semidirect
175. #2477C22semidirect
178. #2463C22semidirect
179. #2455C22semidirect
180. #2454C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
184. #2450C22semidirect
194. #2442C22semidirect
196. #2439C22semidirect
199. #2430C22semidirect
202. #2427C22semidirect
203. #2422C22semidirect
204. #2422C22semidirect
205. #2420C22semidirect
206. #2420C22semidirect
208. #2417C22semidirect
209. #2415C22semidirect
210. #2414C22semidirect
211. #2413C22semidirect
217. #2407C22semidirect
218. #2407C22semidirect
221. #2402C22semidirect
222. #2401C22semidirect
223. #2396C22semidirect
224. #2395C22semidirect
227. #2363C22semidirect
228. #2361C22semidirect
229. #2361C22semidirect
231. #2357C22semidirect
232. #2354C22semidirect
233. #2354C22semidirect
235. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
241. #2331C22semidirect
245. #2317C22semidirect

Maximal subgroups

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

subgroupindex
#592242
#592082
#572582
#567932
#563072
#547562
#530572
#529972
#523192
#450562
#448732
#426112
#425902
#425222
#424392
#407852
#395032
#393672
#381002
#378812
#377522
#376942
#374522
#367202
#361542
#361002
#351042
C2×#24452
#345842