Finite Group Databasebeta

← #7709468

Subgroups — #7709468

Order 512.

5342 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59291C212yesmaximal, complemented
2#59288C212yesmaximal, complemented
3#59273C212yesmaximal, complemented
4#59272C212yesmaximal, complemented
5#45774C214yesmaximal, complemented
6#45773C214yesmaximal, complemented
7#39732C212yesmaximal, complemented
8#39348C212yesmaximal, complemented
9#37983C212yesmaximal, complemented
10#37980C212yesmaximal, complemented
11#37970C212yesmaximal, complemented
12#37969C212yesmaximal, complemented
13#37895C212yesmaximal, complemented
14#37885C212yesmaximal, complemented
15#37876C212yesmaximal, complemented
16#37866C212yesmaximal, complemented
17#37661C214yesmaximal, complemented
18#37477C211yesmaximal, characteristic, complemented
19#37439C211yesmaximal, characteristic
20#36976C212yesmaximal, complemented
21#36975C212yesmaximal, complemented
22#36626C211yesmaximal, characteristic, complemented
23C2×#2854C211yesmaximal, characteristic, complemented
24#36488C212yesmaximal, complemented
25#36257C212yesmaximal, complemented
26#36222C214yesmaximal, complemented
27#35042C212yesmaximal, complemented
28#35004C212yesmaximal, complemented
29#34379C211yesmaximal, characteristic, complemented
30#34360C211yesmaximal, characteristic, complemented
31C2×#2285C211yesmaximal, characteristic, complemented
32C2×#551C2214yes—
33C2×#539C2214yescomplemented
34C2×#525C2211yescharacteristic
35C22×#123C2212yes—
36C22×#121C2211yescharacteristic
37C22×#117C2212yes—
38C23×C42C2211yescharacteristic
39#2855C2211yescharacteristic
40#2855C2211yescharacteristic
41#2855C2211yescharacteristic, complemented
42#2855C2211yescharacteristic, complemented
43#2854C2211yescharacteristic
44#2854C2212yes—
45#2854C2212yes—
46#2854C2212yes—
47#2854C2212yes—
48#2854C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2854C2211yescharacteristic
53#2854C2211yescharacteristic, complemented
54#2854C2211yescharacteristic, complemented
55#2853C2212yescomplemented
56#2853C2212yescomplemented
57#2852C2214yescomplemented
58#2850C2214yescomplemented
59#2849C2212yes—
60#2849C2212yes—
61#2841C2214yescomplemented
62#2813C2214yes—
63#2795C2214yescomplemented
64#2793C2214yescomplemented
65#2790C2214yescomplemented
66#2774C2214yescomplemented
67#2773C2214yescomplemented
68#2773C2214yescomplemented
69#2772C2214yescomplemented
70#2768C2214yescomplemented
71#2768C2214yescomplemented
72#2767C2214yescomplemented
73#2763C2214yescomplemented
74#2761C2214yescomplemented
75#2754C2214yescomplemented
76#2753C2214yescomplemented
77#2753C2214yescomplemented
78#2723C2214yescomplemented
79#2721C2214yescomplemented
80#2720C2214yescomplemented
81#2718C2214yescomplemented
82#2718C2214yescomplemented
83#2707C2214yescomplemented
84#2706C2214yescomplemented
85#2706C2214yescomplemented
86#2706C2214yescomplemented
87#2705C2214yescomplemented
88#2698C2214yescomplemented
89#2696C2214yescomplemented
90#2695C2214yescomplemented
91#2694C2214yescomplemented
92#2693C2214yescomplemented
93#2687C2214yescomplemented
94#2680C2214yescomplemented
95#2659C2212yes—
96#2659C2212yescomplemented
97#2656C2212yes—
98#2646C2212yes—
99#2646C2212yescomplemented
100#2639C2212yes—
101#2629C2212yescomplemented
102#2628C2212yescomplemented
103#2626C2212yes—
104#2624C2212yes—
105#2623C2214yescomplemented
106#2618C2214yescomplemented
107#2617C2212yes—
108#2615C2212yes—
109#2610C2214yescomplemented
110#2609C2214yescomplemented
111#2601C2214yescomplemented
112#2598C2214yescomplemented
113#2597C2214yescomplemented
114#2596C2214yescomplemented
115#2595C2214yescomplemented
116#2593C2214yescomplemented
117#2590C2214yescomplemented
118#2589C2214yescomplemented
119#2587C2214yescomplemented
120#2574C2214yescomplemented
121#2570C2212yescomplemented
122#2566C2212yescomplemented
123#2556C2214yescomplemented
124#2556C2214yescomplemented
125#2554C2214yescomplemented
126#2554C2214yescomplemented
127#2552C2212yescomplemented
128#2542C2212yescomplemented
129#2533C2214yescomplemented
130#2532C2214yescomplemented
131#2529C2214yescomplemented
132#2525C2214yescomplemented
133#2519C2214yescomplemented
134#2519C2214yescomplemented
135#2513C2212yescomplemented
136#2512C2212yescomplemented
137#2512C2212yescomplemented
138#2512C2212yescomplemented
139#2508C2212yescomplemented
140#2507C2212yescomplemented
141#2507C2212yescomplemented
142#2506C2212yescomplemented
143#2501C2212yescomplemented
144#2500C2212yescomplemented
145#2498C2214yes—
146#2497C2212yescomplemented
147#2497C2212yescomplemented
148#2496C2212yescomplemented
149#2495C2212yescomplemented
150#2491C2212yescomplemented
151#2490C2212yescomplemented
152#2488C2214yescomplemented
153#2487C2212yes—
154#2482C2214yes—
155#2481C2214yes—
156#2481C2214yescomplemented
157#2480C2214yes—
158#2479C2214yescomplemented
159#2479C2214yescomplemented
160#2478C2214yescomplemented
161#2477C2214yescomplemented
162#2474C2214yescomplemented
163#2473C2214yes—
164#2471C2214yescomplemented
165#2471C2214yescomplemented
166#2468C2214yescomplemented
167#2461C2214yescomplemented
168#2461C2214yescomplemented
169#2449C2214yescomplemented
170#2443C2214yescomplemented
171#2443C2214yescomplemented
172#2442C2214yes—
173#2442C2212yes—
174#2442C2212yescomplemented
175#2441C2212yescomplemented
176#2440C2212yes—
177#2440C2212yescomplemented
178#2440C2212yescomplemented
179#2438C2214yes—
180#2437C2214yes—
181#2437C2214yes—
182#2425C2214yescomplemented
183#2425C2214yescomplemented
184#2422C2212yescomplemented
185#2422C2212yescomplemented
186#2419C2214yescomplemented
187#2418C2214yes—
188#2417C2214yes—
189#2416C2212yes—
190#2416C2212yes—
191#2412C2214yes—
192#2411C2214yes—
193#2410C2214yes—
194#2408C2212yes—
195#2377C2214yes—
196#2376C2214yescomplemented
197#2370C2212yescomplemented
198#2369C2212yescomplemented
199#2363C2212yescomplemented
200#2361C2212yes—
201#2361C2212yes—
202#2361C2212yescomplemented
203#2359C2214yes—
204#2358C2214yes—
205#2357C2212yescomplemented
206#2354C2212yescomplemented
207#2352C2212yes—
208#2352C2212yescomplemented
209D4×C4⋊C4C2212yes—
210D4×C4⋊C4C2212yescomplemented
211#2346C2212yescomplemented
212#2345C2212yes—
213#2345C2212yescomplemented
214#2343C2214yes—
215#2342C2214yes—
216D4×C22⋊C4C2214yes—
217D4×C22⋊C4C2212yes—
218#2329C2212yes—
219#2329C2212yescomplemented
220#2325C2212yes—
221#2325C2212yes—
222#2325C2212yes—
223#2325C2212yescomplemented
224#2324C2212yes—
225#2324C2212yes—
226#2322C2214yescomplemented
227#2315C2212yes—
228#2314C2212yescomplemented
229#2312C2212yes—
230#2311C2212yescomplemented
231C4×#123C2212yes—
232C4×#123C2212yes—
233C4×#123C2212yescomplemented
234C4×#123C2212yescomplemented
235C4×#121C2214yescomplemented
236#2297C2211yescharacteristic, complemented
237#2297C2211yescharacteristic, complemented
238#2296C2211yescharacteristic, complemented
239#2296C2211yescharacteristic, complemented
240C2×#390C2211yescharacteristic
241C2×#390C2211yescharacteristic
242C2×#389C2211yescharacteristic
243C2×#389C2211yescharacteristic
244#2290C2214yescomplemented
245C2×#388C2212yes—
246C2×#388C2212yes—
247C2×#386C2212yes—
248#2285C2212yes—
249#2285C2212yes—
250#2285C2212yes—
251#2285C2212yes—
252#2285C2212yescomplemented
253#2285C2212yescomplemented
254#2285C2212yescomplemented
255#2285C2212yescomplemented
256C2×#384C2211yescharacteristic, complemented
257C2×#384C2211yescharacteristic, complemented
258C2×#382C2212yescomplemented
259#2280C2211yescharacteristic
260C2×#380C2211yescharacteristic
261C2×#380C2212yes—
262C2×#380C2211yescharacteristic
263C2×#380C2211yescharacteristic
264C2×C4×C4⋊C4C2211yescharacteristic, complemented
265C2×C4×C4⋊C4C2211yescharacteristic, complemented
266C2×C4×C4⋊C4C2212yescomplemented
267C22×#41C2311yescharacteristic
268C23×D4C2311yescharacteristic
269C23×D4C2312yes—
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272C24×C4C2311yescharacteristic
273#551—416no—
274#539—416no—
275C2×C4⋊Q8C2312yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#126C2314yes—
279C2×#126C2314yes—
280C2×#125C2312yes—
281C2×#125C2314yes—
282C2×#125C2314yes—
283C2×#124C2314yes—
284#525—28no—
285C2×#123—48no—
286C2×#123C2314yes—
287C2×#123C2312yes—
288C2×#123C2312yes—
289C2×#123C2312yes—
290C2×#123C2312yes—
291C2×#123C2312yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2314yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×#121—28no—
307C2×#121C2312yes—
308C2×#121C2311yescharacteristic
309C2×#121C2312yes—
310C2×#121C2311yescharacteristic
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#120C2312yes—
318C2×#120C2314yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2314yes—
323C2×C4×D4C2312yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yes—
326C2×C4×D4C2314yes—
327C2×C4×D4C2314yes—
328C2×#117—48no—
329C2×#117C2311yescharacteristic
330C2×#117C2314yes—
331C2×#117C2312yes—
332C2×#117C2311yescharacteristic
333C2×#117C2311yescharacteristic
334C2×#117C2314yes—
335C2×#117C2314yes—
336C2×#117C2314yes—
337C2×#117C2314yes—
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2312yes—
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2314yes—
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C42—28no—
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370C22×C42C2311yescharacteristic
371C22×C42C2311yescharacteristic
372C22×C42C2311yescharacteristic
373C22×C42C2311yescharacteristic
374C22×C42C2312yes—
375C22×C42C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#395C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#393C2314yes—
450#393C2314yes—
451#393C2314yes—
452#392C2314yes—
453#392C2314yes—
454#392C2314yes—
455#392C2314yes—
456#391C2314yes—
457#391C2314yes—
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2314yes—
463#390C2312yes—
464#390C2312yes—
465#390C2314yes—
466#390C2314yes—
467#390C2314yes—
468#390C2312yes—
469#390C2312yes—
470#390C2314yes—
471#390C2314yes—
472#390C2312yes—
473#390C2312yes—
474#390C2312yes—
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2311yescharacteristic
483#390C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2314yes—
488#389C2312yes—
489#389C2312yes—
490#389C2314yes—
491#389C2314yes—
492#389C2314yes—
493#389C2314yes—
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2312yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2312yes—
540#388C2312yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2312yes—
545#388C2312yes—
546#388C2314yes—
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#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2312yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2312yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2312yes—
600#386C2312yes—
601#386C2312yes—
602#386C2312yes—
603#386C2312yes—
604#386C2312yes—
605#386C2312yes—
606#386C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2312yes—
629#385C2312yes—
630#385C2312yes—
631#385C2312yes—
632#385C2312yes—
633#385C2312yes—
634#385C2312yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#384C2312yes—
643#384C2312yes—
644#384C2312yes—
645#384C2312yes—
646#384C2312yes—
647#384C2312yes—
648#384C2312yes—
649#384C2312yes—
650#384C2312yes—
651#384C2312yes—
652#383C2314yes—
653#382C2312yes—
654#382C2312yes—
655#382C2314yes—
656#382C2314yes—
657#382C2314yes—
658#382C2314yes—
659#382C2314yes—
660#382C2314yes—
661#381C2312yes—
662#381C2312yes—
663#381C2312yes—
664#381C2312yes—
665#381C2312yes—
666#381C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2311yescharacteristic
672#380C2312yes—
673#380C2311yescharacteristic
674#380C2314yes—
675#380C2314yes—
676#380C2311yescharacteristic
677#380C2311yescharacteristic
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2314yes—
690#380C2312yes—
691#380C2312yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#380C2314yes—
696#379C2314yes—
697#379C2312yes—
698#379C2314yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2314yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2314yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2312yes—
733#376C2314yes—
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C2×#95C2312yes—
738C2×#95C2312yes—
739C2×#95C2312yes—
740C2×#95C2312yes—
741C25C2411yescharacteristic
742C25C2412yes—
743C2×#41—24no—
744C2×#41—42no—
745C2×#41—42no—
746C22×Q8C2411yescharacteristic
747C22×Q8C2414yes—
748C22×D4—28no—
749C22×D4—24no—
750C22×D4—42no—
751C22×D4—42no—
752C22×D4—44no—
753C22×D4—44no—
754C22×D4C2412yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C22×D4C2414yes—
763C22×D4C2414yes—
764C23×C4—24no—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—24no—
768C23×C4—24no—
769C23×C4—42no—
770C23×C4—42no—
771C23×C4—42no—
772C23×C4#4118yes—
773C23×C4C2411yescharacteristic
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C4⋊Q8—44no—
803#126—48no—
804#126—48no—
805#126—48no—
806#126—48no—
807#125—44no—
808#125—48no—
809#125—48no—
810#124—48no—
811#123—28no—
812#123—216no—
813#123—28no—
814#123—28no—
815#123—28no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—48no—
820#123—48no—
821#123—48no—
822#123—48no—
823#123—44no—
824C22⋊Q8—24no—
825C22⋊Q8—24no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831#121—28no—
832#121—28no—
833#121—28no—
834#121—28no—
835#121—24no—
836#121—24no—
837#121—44no—
838#121—44no—
839#121—48no—
840#121—48no—
841#120—28no—
842#120—48no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—48no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—48no—
849C4×D4—48no—
850C4×D4—48no—
851C4×D4—48no—
852#117—24no—
853#117—216no—
854#117—48no—
855#117—42no—
856#117—42no—
857#117—48no—
858#117—48no—
859#117—48no—
860#117—44no—
861C2×C4⋊C4—24no—
862C2×C4⋊C4—28no—
863C2×C4⋊C4—42no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—42no—
867C2×C4⋊C4—42no—
868C2×C4⋊C4—42no—
869C2×C4⋊C4—42no—
870C2×C4⋊C4—44no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—44no—
874C2×C4⋊C4—44no—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C22⋊C4—28no—
934C2×C22⋊C4—28no—
935C2×C22⋊C4—28no—
936C2×C22⋊C4—44no—
937C2×C22⋊C4—44no—
938C2×C22⋊C4—44no—
939C2×C22⋊C4—44no—
940C2×C22⋊C4—44no—
941C2×C22⋊C4—48no—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C42—24no—
995C2×C42—24no—
996C2×C42—24no—
997C2×C42—24no—
998C2×C42—24no—
999C2×C42—24no—
1000C2×C42—24no—
1001C2×C42—24no—
1002C2×C42—24no—
1003C2×C42—24no—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—44no—
1007C2×C42—44no—
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090C24—22no—
1091C24—22no—
1092C24—22no—
1093C24—22no—
1094C24—24no—
1095C24—24no—
1096C24—24no—
1097C24—41no—
1098C24—41no—
1099C24—42no—
1100C24—42no—
1101C24—42no—
1102C24—42no—
1103C24C2×#4114yes—
1104C24C2514yes—
1105C24C2512yes—
1106C24C2511yescharacteristic
1107C24C2511yescharacteristic
1108C24C2511yescharacteristic
1109#41—88no—
1110C2×Q8—22no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×Q8—44no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—28no—
1122C2×D4—24no—
1123C2×D4—28no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—28no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—22no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—88no—
1147C2×D4—816no—
1148C22×C4—232no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—416no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—416no—
1229C22×C4C2×#4114yes—
1230C22×C4C2×#4114yes—
1231C22×C4C2×#4114yes—
1232C22×C4C2×#4114yes—
1233C22×C4C2×#4114yes—
1234C22×C4C2×#4114yes—
1235C22×C4H(5,𝔽2)14yes—
1236C22×C4H(5,𝔽2)14yes—
1237C22×C42−1+414yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2512yes—
1243C22×C4C2514yes—
1244C22×C4C2514yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2514yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2514yes—
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—24no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—28no—
1392C42—28no—
1393C42—24no—
1394C42—24no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—44no—
1399C42—44no—
1400C42—44no—
1401C42—44no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—28no—
1417C23—28no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—24no—
1422C23—24no—
1423C23—22no—
1424C23—22no—
1425C23—24no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—24no—
1430C23—24no—
1431C23—22no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—48no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23C22×#4112yes—
1445C23C22×#4112yes—
1446C23C22×#4112yes—
1447C23C2×H(5,𝔽2)12yes—
1448C23C2×H(5,𝔽2)12yes—
1449C23C2×2−1+412yes—
1450C23#58512yes—
1451C23C2611yescharacteristic
1452Q8—82no—
1453Q8—164no—
1454D4—48no—
1455D4—48no—
1456D4—416no—
1457D4—48no—
1458D4—84no—
1459D4—82no—
1460D4—88no—
1461D4—84no—
1462D4—88no—
1463D4—164no—
1464C2×C4—28no—
1465C2×C4—28no—
1466C2×C4—28no—
1467C2×C4—28no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—28no—
1489C2×C4—28no—
1490C2×C4—28no—
1491C2×C4—28no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—24no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—44no—
1541C2×C4—44no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—44no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—84no—
1550C2×C4—84no—
1551C2×C4—84no—
1552C2×C4—84no—
1553C2×C4—84no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—88no—
1557C2×C4—164no—
1558C2×C4—164no—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C2×H(5,𝔽2)12yes—
1564C2×C4C2×H(5,𝔽2)12yes—
1565C2×C4C2×H(5,𝔽2)12yes—
1566C2×C4C2×H(5,𝔽2)12yes—
1567C2×C4C2×2−1+412yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—22no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—416no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—44no—
1597C22—42no—
1598C22—44no—
1599C22—44no—
1600C22—42no—
1601C22—42no—
1602C22—44no—
1603C22—42no—
1604C22—44no—
1605C22—168no—
1606C22#349214yes—
1607C22#349414yes—
1608C22C23×#4111yescharacteristic
1609C22C22×H(5,𝔽2)11yescharacteristic
1610C22C22×H(5,𝔽2)11yescharacteristic
1611C22C22×2−1+411yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22C2×#58511yescharacteristic
1614C22C2×#58511yescharacteristic
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—44no—
1625C4—42no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—41no—
1631C4—41no—
1632C4—44no—
1633C4—42no—
1634C4—44no—
1635C4—44no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—44no—
1640C4#349114yes—
1641C2—24no—
1642C2—24no—
1643C2—42no—
1644C2—82no—
1645C2—84no—
1646C2#6274811yescharacteristic
1647C2#6275211yescharacteristic
1648C2C2×#349211yescharacteristic
1649C2C2×#349111yescharacteristic
1650C2C2×#349411yescharacteristic
1651C2#6283411yescharacteristic
1652C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#37439C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59291C2semidirect
2. #59288C2semidirect
3. #59273C2semidirect
4. #59272C2semidirect
5. #45774C2semidirect
6. #45773C2semidirect
7. #39732C2semidirect
8. #39348C2semidirect
9. #37983C2semidirect
10. #37980C2semidirect
11. #37970C2semidirect
12. #37969C2semidirect
13. #37895C2semidirect
14. #37885C2semidirect
15. #37876C2semidirect
16. #37866C2semidirect
17. #37661C2semidirect
18. #37477C2semidirect
20. #36976C2semidirect
21. #36975C2semidirect
22. #36626C2semidirect
23. C2×#2854C2semidirect
24. #36488C2semidirect
25. #36257C2semidirect
26. #36222C2semidirect
27. #35042C2semidirect
28. #35004C2semidirect
29. #34379C2semidirect
30. #34360C2semidirect
31. C2×#2285C2semidirect
33. C2×#539C22semidirect
41. #2855C22semidirect
42. #2855C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2853C22semidirect
56. #2853C22semidirect
57. #2852C22semidirect
58. #2850C22semidirect
61. #2841C22semidirect
63. #2795C22semidirect
64. #2793C22semidirect
65. #2790C22semidirect
66. #2774C22semidirect
67. #2773C22semidirect
68. #2773C22semidirect
69. #2772C22semidirect
70. #2768C22semidirect
71. #2768C22semidirect
72. #2767C22semidirect
73. #2763C22semidirect
74. #2761C22semidirect
75. #2754C22semidirect
76. #2753C22semidirect
77. #2753C22semidirect
78. #2723C22semidirect
79. #2721C22semidirect
80. #2720C22semidirect
81. #2718C22semidirect
82. #2718C22semidirect
83. #2707C22semidirect
84. #2706C22semidirect
85. #2706C22semidirect
86. #2706C22semidirect
87. #2705C22semidirect
88. #2698C22semidirect
89. #2696C22semidirect
90. #2695C22semidirect
91. #2694C22semidirect
92. #2693C22semidirect
93. #2687C22semidirect
94. #2680C22semidirect
96. #2659C22semidirect
99. #2646C22semidirect
101. #2629C22semidirect
102. #2628C22semidirect
105. #2623C22semidirect
106. #2618C22semidirect
109. #2610C22semidirect
110. #2609C22semidirect
111. #2601C22semidirect
112. #2598C22semidirect
113. #2597C22semidirect
114. #2596C22semidirect
115. #2595C22semidirect
116. #2593C22semidirect
117. #2590C22semidirect
118. #2589C22semidirect
119. #2587C22semidirect
120. #2574C22semidirect
121. #2570C22semidirect
122. #2566C22semidirect
123. #2556C22semidirect
124. #2556C22semidirect
125. #2554C22semidirect
126. #2554C22semidirect
127. #2552C22semidirect
128. #2542C22semidirect
129. #2533C22semidirect
130. #2532C22semidirect
131. #2529C22semidirect
132. #2525C22semidirect
133. #2519C22semidirect
134. #2519C22semidirect
135. #2513C22semidirect
136. #2512C22semidirect
137. #2512C22semidirect
138. #2512C22semidirect
139. #2508C22semidirect
140. #2507C22semidirect
141. #2507C22semidirect
142. #2506C22semidirect
143. #2501C22semidirect
144. #2500C22semidirect
146. #2497C22semidirect
147. #2497C22semidirect
148. #2496C22semidirect
149. #2495C22semidirect
150. #2491C22semidirect
151. #2490C22semidirect
152. #2488C22semidirect
156. #2481C22semidirect
158. #2479C22semidirect
159. #2479C22semidirect
160. #2478C22semidirect
161. #2477C22semidirect
162. #2474C22semidirect
164. #2471C22semidirect
165. #2471C22semidirect
166. #2468C22semidirect
167. #2461C22semidirect
168. #2461C22semidirect
169. #2449C22semidirect
170. #2443C22semidirect
171. #2443C22semidirect
174. #2442C22semidirect
175. #2441C22semidirect
177. #2440C22semidirect
178. #2440C22semidirect
182. #2425C22semidirect
183. #2425C22semidirect
184. #2422C22semidirect
185. #2422C22semidirect
186. #2419C22semidirect
196. #2376C22semidirect
197. #2370C22semidirect
198. #2369C22semidirect
199. #2363C22semidirect
202. #2361C22semidirect
205. #2357C22semidirect
206. #2354C22semidirect
208. #2352C22semidirect
210. D4×C4⋊C4C22semidirect
211. #2346C22semidirect
213. #2345C22semidirect
219. #2329C22semidirect
223. #2325C22semidirect
226. #2322C22semidirect
228. #2314C22semidirect
230. #2311C22semidirect
233. C4×#123C22semidirect
234. C4×#123C22semidirect
235. C4×#121C22semidirect
236. #2297C22semidirect
237. #2297C22semidirect
238. #2296C22semidirect
239. #2296C22semidirect
244. #2290C22semidirect
252. #2285C22semidirect
253. #2285C22semidirect
254. #2285C22semidirect
255. #2285C22semidirect
256. C2×#384C22semidirect
257. C2×#384C22semidirect
258. C2×#382C22semidirect
264. C2×C4×C4⋊C4C22semidirect
265. C2×C4×C4⋊C4C22semidirect
266. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#592912
#592882
#592732
#592722
#457742
#457732
#397322
#393482
#379832
#379802
#379702
#379692
#378952
#378852
#378762
#378662
#376612
#374772
#374392
#369762
#369752
#366262
C2×#28542
#364882
#362572
#362222
#350422
#350042
#343792
#343602
C2×#22852