Finite Group Databasebeta

← #7725929

Subgroups — #7725929

Order 512.

6574 conjugacy classes of subgroups.

The subgroup lattice has 1594 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#47884C212yesmaximal, complemented
2#47883C212yesmaximal, complemented
3#47882C212yesmaximal, complemented
4#47881C212yesmaximal, complemented
5#47000C214yesmaximal, complemented
6#46391C214yesmaximal, complemented
7#43081C212yesmaximal, complemented
8#43080C212yesmaximal, complemented
9#43079C212yesmaximal, complemented
10#43078C212yesmaximal, complemented
11#39037C214yesmaximal, complemented
12#38052C214yesmaximal, complemented
13#37940C212yesmaximal, complemented
14#37932C212yesmaximal, complemented
15#37872C212yesmaximal, complemented
16#37860C212yesmaximal, complemented
17#37745C214yesmaximal, complemented
18#37478C211yesmaximal, characteristic, complemented
19#36791C214yesmaximal, complemented
20#36098C214yesmaximal, complemented
21#35353C214yesmaximal, complemented
22#35251C211yesmaximal, characteristic, complemented
23#35050C211yesmaximal, characteristic, complemented
24C2×#2404C211yesmaximal, characteristic, complemented
25#34386C211yesmaximal, characteristic, complemented
26#34175C211yesmaximal, characteristic, complemented
27C2×#2315C211yesmaximal, characteristic, complemented
28C23×#41C2211yescharacteristic
29C2×#546C2214yes—
30C2×#537C2212yescomplemented
31C2×#525C2211yescharacteristic
32C2×#525C2214yescomplemented
33C22×#120C2212yes—
34C2×#520C2212yescomplemented
35C23×C22⋊C4C2211yescharacteristic
36C23×C22⋊C4C2212yes—
37#2849C2212yes—
38#2849C2214yescomplemented
39#2848C2212yescomplemented
40#2847C2214yescomplemented
41#2847C2212yescomplemented
42#2846C2212yes—
43#2841C2214yescomplemented
44#2804C2214yescomplemented
45#2797C2214yescomplemented
46#2788C2214yescomplemented
47#2784C2214yescomplemented
48#2780C2214yescomplemented
49#2778C2214yescomplemented
50#2764C2214yescomplemented
51#2763C2214yescomplemented
52#2751C2214yescomplemented
53#2750C2214yescomplemented
54#2749C2214yescomplemented
55#2748C2214yescomplemented
56#2746C2214yescomplemented
57#2746C2214yescomplemented
58#2745C2214yescomplemented
59#2743C2214yescomplemented
60#2743C2214yescomplemented
61#2740C2214yescomplemented
62#2737C2214yescomplemented
63#2717C2214yescomplemented
64#2714C2214yescomplemented
65#2710C2214yescomplemented
66#2708C2214yescomplemented
67#2708C2214yescomplemented
68#2706C2214yescomplemented
69#2706C2214yescomplemented
70#2705C2214yescomplemented
71#2696C2214yescomplemented
72#2695C2214yescomplemented
73#2693C2214yescomplemented
74#2692C2214yescomplemented
75#2692C2214yescomplemented
76#2688C2214yescomplemented
77#2688C2214yescomplemented
78#2687C2214yescomplemented
79#2687C2214yescomplemented
80#2686C2214yescomplemented
81#2682C2214yescomplemented
82#2671C2214yescomplemented
83#2671C2214yescomplemented
84#2667C2212yescomplemented
85#2665C2212yescomplemented
86#2659C2212yescomplemented
87#2646C2212yescomplemented
88#2643C2214yescomplemented
89#2639C2214yescomplemented
90#2627C2214yescomplemented
91#2626C2211yescharacteristic
92#2626C2211yescharacteristic
93#2617C2211yescharacteristic
94#2617C2211yescharacteristic
95#2616C2211yescharacteristic, complemented
96#2616C2211yescharacteristic, complemented
97#2615C2211yescharacteristic, complemented
98#2615C2211yescharacteristic, complemented
99#2609C2214yescomplemented
100#2603C2214yescomplemented
101#2600C2214yescomplemented
102#2599C2214yescomplemented
103#2598C2214yescomplemented
104#2589C2214yescomplemented
105#2580C2214yescomplemented
106#2579C2214yescomplemented
107#2578C2214yescomplemented
108#2569C2212yescomplemented
109#2569C2214yescomplemented
110#2564C2214yescomplemented
111#2564C2214yescomplemented
112#2561C2212yescomplemented
113#2553C2214yescomplemented
114#2549C2212yescomplemented
115#2539C2214yescomplemented
116#2539C2212yescomplemented
117#2534C2214yescomplemented
118#2534C2214yescomplemented
119#2527C2214yescomplemented
120#2510C2214yescomplemented
121#2505C2214yescomplemented
122#2482C2212yescomplemented
123#2481C2214yescomplemented
124#2480C2214yescomplemented
125#2477C2214yescomplemented
126#2477C2214yescomplemented
127#2476C2214yescomplemented
128#2472C2214yescomplemented
129#2472C2214yescomplemented
130#2470C2214yescomplemented
131#2465C2214yescomplemented
132#2464C2214yescomplemented
133#2464C2214yescomplemented
134#2461C2214yescomplemented
135#2458C2214yescomplemented
136#2456C2214yescomplemented
137#2455C2214yescomplemented
138#2450C2214yescomplemented
139#2450C2214yescomplemented
140#2449C2214yescomplemented
141#2449C2214yescomplemented
142#2443C2214yescomplemented
143#2443C2214yescomplemented
144#2443C2214yescomplemented
145#2438C2214yescomplemented
146#2437C2214yes—
147#2437C2214yes—
148#2437C2214yescomplemented
149#2430C2212yescomplemented
150#2430C2212yescomplemented
151#2430C2214yescomplemented
152#2430C2214yescomplemented
153#2424C2214yescomplemented
154#2424C2214yescomplemented
155#2424C2214yescomplemented
156#2424C2214yescomplemented
157#2419C2214yescomplemented
158#2418C2214yescomplemented
159#2418C2214yescomplemented
160#2418C2214yescomplemented
161#2412C2214yes—
162#2412C2214yescomplemented
163#2411C2214yescomplemented
164#2411C2214yescomplemented
165#2410C2214yes—
166#2410C2214yes—
167#2409C2212yescomplemented
168#2408C2212yescomplemented
169#2407C2214yescomplemented
170#2407C2214yescomplemented
171#2406C2214yescomplemented
172#2405C2214yes—
173#2404C2212yes—
174#2404C2212yes—
175#2404C2212yes—
176#2404C2214yes—
177#2404C2214yes—
178#2404C2212yes—
179#2404C2214yescomplemented
180#2404C2212yescomplemented
181C2×#393C2211yescharacteristic
182C2×#393C2211yescharacteristic
183C2×#392C2211yescharacteristic
184C2×#392C2211yescharacteristic
185#2378C2212yescomplemented
186#2377C2212yescomplemented
187#2358C2214yes—
188#2358C2214yes—
189#2353C2212yescomplemented
190#2349C2212yescomplemented
191#2343C2212yescomplemented
192#2342C2214yes—
193#2341C2212yescomplemented
194Q8×C22⋊C4C2212yescomplemented
195#2339C2212yescomplemented
196#2339C2214yescomplemented
197#2339C2212yescomplemented
198D4×C22⋊C4C2214yes—
199D4×C22⋊C4C2214yes—
200D4×C22⋊C4C2212yescomplemented
201#2329C2212yescomplemented
202#2325C2214yescomplemented
203#2325C2212yescomplemented
204#2322C2214yescomplemented
205#2321C2212yes—
206#2321C2212yes—
207#2319C2212yescomplemented
208#2318C2214yescomplemented
209#2318C2212yescomplemented
210#2315C2212yes—
211#2315C2212yes—
212#2315C2212yes—
213#2315C2212yes—
214#2315C2212yescomplemented
215#2315C2212yescomplemented
216#2315C2212yescomplemented
217#2315C2212yescomplemented
218#2311C2212yescomplemented
219#2311C2212yescomplemented
220#2311C2212yescomplemented
221#2311C2212yescomplemented
222C4×#120C2214yescomplemented
223C2×#386C2212yes—
224C2×#386C2212yes—
225C2×#386C2212yes—
226C2×#385C2214yescomplemented
227C2×#385C2214yescomplemented
228#2280C2211yescharacteristic
229#2280C2212yescomplemented
230C2×#381C2211yescharacteristic
231C2×#380C2211yescharacteristic
232C2×#380C2211yescharacteristic
233C2×#380C2212yes—
234C2×#380C2212yescomplemented
235C26C2311yescharacteristic
236C22×#41—28no—
237C22×#41—48no—
238C22×#41C2311yescharacteristic
239C22×#41C2312yes—
240C22×#41C2312yes—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2311yescharacteristic
244C22×#41C2311yescharacteristic
245C22×#41C2314yes—
246C23×Q8C2311yescharacteristic
247C23×D4C2312yes—
248C23×D4C2311yescharacteristic
249C23×D4C2312yes—
250C23×D4C2312yes—
251C24×C4C2312yes—
252C24×C4C2311yescharacteristic
253C24×C4C2314yes—
254C24×C4C2311yescharacteristic
255#546—416no—
256#537—48no—
257C2×#126C2314yescomplemented
258C2×#124C2314yes—
259#525—28no—
260#525—416no—
261C2×#123C2312yes—
262C2×#123C2314yes—
263C2×#123C2314yes—
264C2×#123C2314yes—
265C2×#123C2314yes—
266C2×#123C2314yes—
267C2×#123C2314yes—
268C2×#123C2314yescomplemented
269C2×#123C2314yescomplemented
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2314yes—
273C2×C22⋊Q8C2314yes—
274C2×C22⋊Q8C2314yes—
275C2×C22⋊Q8C2312yescomplemented
276C2×C22⋊Q8C2312yescomplemented
277C2×C22⋊Q8C2314yescomplemented
278C2×C22⋊Q8C2314yescomplemented
279C2×#121C2311yescharacteristic
280C2×#121C2314yes—
281C2×#121C2311yescharacteristic
282C2×#121C2314yes—
283C2×#121C2314yes—
284C2×#121C2314yes—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2312yescomplemented
289C2×#121C2312yescomplemented
290C2×#121C2314yescomplemented
291C2×#120—48no—
292C2×#120C2312yes—
293C2×#120C2312yes—
294C2×#120C2312yes—
295C2×#120C2314yes—
296C2×#120C2314yes—
297C2×#120C2314yes—
298C2×#120C2314yes—
299C2×#120C2314yes—
300C2×#120C2314yes—
301C2×#120C2314yes—
302#520—48no—
303C2×C4×Q8C2314yescomplemented
304C2×C4×D4C2312yes—
305C2×C4×D4C2314yes—
306C2×C4×D4C2312yes—
307C2×C4×D4C2314yes—
308C2×C4×D4C2314yes—
309C2×C4×D4C2314yes—
310C2×C4×D4C2314yes—
311C2×C4×D4C2314yes—
312C2×C4×D4C2314yes—
313C2×C4×D4C2314yes—
314C2×C4×D4C2314yescomplemented
315C2×#117C2311yescharacteristic
316C2×#117C2312yes—
317C2×#117C2314yes—
318C2×#117C2312yescomplemented
319C2×#117C2312yescomplemented
320C22×C4⋊C4C2312yes—
321C22×C4⋊C4C2312yes—
322C22×C4⋊C4C2314yes—
323C22×C4⋊C4C2312yescomplemented
324C22×C4⋊C4C2312yescomplemented
325C22×C22⋊C4—28no—
326C22×C22⋊C4—48no—
327C22×C22⋊C4C2312yes—
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2314yes—
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2312yes—
334C22×C22⋊C4C2312yes—
335C22×C22⋊C4C2312yes—
336C22×C22⋊C4C2314yes—
337C22×C22⋊C4C2312yes—
338C22×C22⋊C4C2312yes—
339C22×C22⋊C4C2312yes—
340C22×C22⋊C4C2312yes—
341C22×C22⋊C4C2314yes—
342C22×C22⋊C4C2312yes—
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C22⋊C4C2314yes—
348C22×C22⋊C4C2312yes—
349C22×C22⋊C4C2312yes—
350#401C2314yescomplemented
351#400C2314yescomplemented
352#400C2314yescomplemented
353#400C2314yescomplemented
354#400C2314yescomplemented
355#400C2314yescomplemented
356#400C2314yescomplemented
357#400C2314yescomplemented
358#400C2314yescomplemented
359#400C2314yescomplemented
360#400C2314yescomplemented
361#399C2312yes—
362#399C2314yes—
363#399C2314yes—
364#399C2312yes—
365#399C2314yescomplemented
366#399C2314yescomplemented
367#399C2314yescomplemented
368#398C2314yescomplemented
369#398C2314yescomplemented
370#398C2314yescomplemented
371#398C2314yescomplemented
372#398C2314yescomplemented
373#398C2314yescomplemented
374#398C2314yescomplemented
375#398C2314yescomplemented
376#398C2314yescomplemented
377#397C2312yes—
378#397C2312yes—
379#397C2314yes—
380#397C2314yes—
381#397C2314yescomplemented
382#397C2314yescomplemented
383#397C2314yescomplemented
384#397C2314yescomplemented
385#397C2314yescomplemented
386#397C2314yescomplemented
387#397C2314yescomplemented
388#397C2314yescomplemented
389#396C2314yes—
390#396C2314yes—
391#396C2314yes—
392#396C2314yes—
393#396C2314yes—
394#396C2314yes—
395#396C2314yescomplemented
396#396C2314yescomplemented
397#396C2314yescomplemented
398#395C2314yescomplemented
399#395C2314yescomplemented
400#395C2314yescomplemented
401#395C2314yescomplemented
402#395C2312yescomplemented
403#395C2312yescomplemented
404#394C2314yes—
405#394C2314yes—
406#394C2314yes—
407#394C2314yes—
408#394C2314yes—
409#394C2314yes—
410#394C2314yes—
411#394C2314yes—
412#394C2314yes—
413#394C2314yes—
414#394C2314yes—
415#394C2314yes—
416#394C2312yescomplemented
417#394C2312yescomplemented
418#394C2314yescomplemented
419#394C2314yescomplemented
420#394C2314yescomplemented
421#394C2314yescomplemented
422#393C2312yes—
423#393C2312yes—
424#393C2314yes—
425#393C2312yes—
426#393C2314yes—
427#393C2314yes—
428#393C2312yes—
429#393C2314yes—
430#393C2312yes—
431#393C2312yes—
432#393C2314yescomplemented
433#393C2312yescomplemented
434#393C2312yescomplemented
435#393C2314yescomplemented
436#392C2314yes—
437#392C2312yes—
438#392C2314yes—
439#392C2314yes—
440#392C2314yes—
441#392C2312yes—
442#392C2312yes—
443#392C2312yes—
444#392C2314yes—
445#392C2312yes—
446#392C2312yes—
447#392C2314yes—
448#392C2312yescomplemented
449#392C2312yescomplemented
450#391C2314yescomplemented
451#391C2314yescomplemented
452#391C2314yescomplemented
453#391C2314yescomplemented
454#391C2314yescomplemented
455#391C2314yescomplemented
456#390C2314yes—
457#390C2314yes—
458#390C2314yes—
459#390C2314yes—
460#390C2314yes—
461#390C2314yes—
462#390C2314yes—
463#390C2314yes—
464#390C2314yescomplemented
465#390C2314yescomplemented
466#389C2314yescomplemented
467#389C2314yescomplemented
468#389C2314yescomplemented
469#389C2314yescomplemented
470#388C2314yes—
471#388C2314yes—
472#388C2314yes—
473#388C2314yes—
474#388C2314yes—
475#388C2314yes—
476#388C2314yes—
477#388C2314yes—
478#388C2314yes—
479#388C2314yes—
480#388C2314yes—
481#388C2314yes—
482#388C2314yescomplemented
483#388C2314yescomplemented
484#388C2314yescomplemented
485#388C2314yescomplemented
486#388C2314yescomplemented
487#388C2314yescomplemented
488#388C2314yescomplemented
489#388C2314yescomplemented
490#388C2314yescomplemented
491#387C2314yescomplemented
492#387C2314yescomplemented
493#387C2314yescomplemented
494#387C2314yescomplemented
495#387C2314yescomplemented
496#387C2314yescomplemented
497#387C2314yescomplemented
498#387C2314yescomplemented
499#387C2314yescomplemented
500#387C2314yescomplemented
501#387C2314yescomplemented
502#387C2314yescomplemented
503#387C2314yescomplemented
504#387C2314yescomplemented
505#387C2314yescomplemented
506#386C2312yes—
507#386C2314yes—
508#386C2314yes—
509#386C2314yes—
510#386C2314yes—
511#386C2314yes—
512#386C2314yes—
513#386C2314yes—
514#386C2314yes—
515#386C2314yes—
516#386C2314yes—
517#386C2314yes—
518#386C2312yes—
519#386C2314yes—
520#386C2314yes—
521#386C2314yes—
522#386C2314yes—
523#386C2314yes—
524#386C2314yes—
525#386C2314yes—
526#386C2314yes—
527#386C2314yes—
528#386C2314yes—
529#386C2314yes—
530#386C2314yes—
531#386C2314yes—
532#386C2314yes—
533#386C2314yes—
534#386C2314yes—
535#386C2314yes—
536#386C2314yes—
537#386C2314yes—
538#386C2314yes—
539#386C2314yes—
540#386C2314yes—
541#386C2314yes—
542#386C2314yes—
543#386C2314yes—
544#386C2314yescomplemented
545#386C2314yescomplemented
546#386C2314yescomplemented
547#386C2314yescomplemented
548#386C2314yescomplemented
549#386C2314yescomplemented
550#386C2314yescomplemented
551#385C2314yes—
552#385C2314yes—
553#385C2312yes—
554#385C2314yes—
555#385C2314yes—
556#385C2314yes—
557#385C2314yes—
558#385C2314yes—
559#385C2314yes—
560#385C2314yes—
561#385C2314yes—
562#385C2314yes—
563#385C2314yes—
564#385C2314yes—
565#385C2314yes—
566#385C2314yes—
567#385C2314yes—
568#385C2314yes—
569#385C2314yes—
570#385C2314yes—
571#385C2314yes—
572#385C2314yes—
573#385C2312yes—
574#385C2314yes—
575#385C2314yes—
576#385C2314yes—
577#385C2314yes—
578#385C2314yes—
579#385C2314yes—
580#385C2314yes—
581#385C2314yescomplemented
582#385C2314yescomplemented
583#385C2314yescomplemented
584#385C2314yescomplemented
585#385C2314yescomplemented
586#385C2314yescomplemented
587#385C2314yescomplemented
588#385C2314yescomplemented
589#385C2314yescomplemented
590#383C2314yescomplemented
591#383C2312yescomplemented
592#382C2314yescomplemented
593#382C2312yescomplemented
594#381C2314yes—
595#381C2312yes—
596#381C2312yes—
597#381C2314yes—
598#381C2314yes—
599#381C2312yes—
600#381C2312yes—
601#381C2312yes—
602#381C2314yescomplemented
603#381C2312yescomplemented
604#381C2314yescomplemented
605#380C2314yes—
606#380C2314yes—
607#380C2311yescharacteristic
608#380C2311yescharacteristic
609#380C2312yes—
610#380C2314yes—
611#380C2312yes—
612#380C2314yes—
613#380C2312yes—
614#380C2312yes—
615#380C2312yes—
616#380C2312yes—
617#380C2312yes—
618#380C2311yescharacteristic
619#380C2311yescharacteristic
620#380C2312yes—
621#380C2312yes—
622#380C2312yes—
623#380C2312yes—
624#380C2314yes—
625#380C2314yes—
626#380C2314yes—
627#380C2311yescharacteristic
628#380C2311yescharacteristic
629#380C2312yescomplemented
630#380C2314yescomplemented
631#380C2312yescomplemented
632#380C2312yescomplemented
633#380C2312yescomplemented
634#380C2312yescomplemented
635#380C2312yescomplemented
636#380C2312yescomplemented
637#380C2312yescomplemented
638#380C2312yescomplemented
639#380C2314yescomplemented
640#379C2314yes—
641#379C2312yes—
642#379C2312yes—
643#379C2312yes—
644#379C2314yes—
645#379C2314yes—
646#379C2314yes—
647C4×C4⋊C4C2312yescomplemented
648C4×C22⋊C4C2312yes—
649C4×C22⋊C4C2312yes—
650C4×C22⋊C4C2314yes—
651C4×C22⋊C4C2314yes—
652C4×C22⋊C4C2314yes—
653C4×C22⋊C4C2314yes—
654C4×C22⋊C4C2314yes—
655C4×C22⋊C4C2312yescomplemented
656C4×C22⋊C4C2314yescomplemented
657#376C2312yescomplemented
658C2×#95C2312yes—
659C2×#95C2311yescharacteristic
660C2×#95C2312yes—
661C2×#95C2314yes—
662C2×#95C2312yes—
663C2×#95C2312yes—
664C2×#95C2311yescharacteristic
665C2×#95C2312yes—
666C2×#95C2314yescomplemented
667C2×#95C2312yescomplemented
668C25—24no—
669C25—24no—
670C25—24no—
671C25—44no—
672C25—82no—
673C25C2412yes—
674C25C2412yes—
675C25C2411yescharacteristic
676C25C2412yes—
677C25C2411yescharacteristic
678C25C2411yescharacteristic
679C2×#41—28no—
680C2×#41—28no—
681C2×#41—24no—
682C2×#41—28no—
683C2×#41—28no—
684C2×#41—24no—
685C2×#41—24no—
686C2×#41—24no—
687C2×#41—24no—
688C2×#41—44no—
689C2×#41—44no—
690C2×#41—44no—
691C2×#41—44no—
692C2×#41—48no—
693C2×#41—44no—
694C2×#41—48no—
695C2×#41—44no—
696C2×#41—44no—
697C2×#41—464no—
698C2×#41—84no—
699C22×Q8—24no—
700C22×Q8—44no—
701C22×Q8C2411yescharacteristic
702C22×Q8C2412yes—
703C22×Q8C2411yescharacteristic
704C22×Q8C2411yescharacteristic
705C22×Q8C2414yes—
706C22×D4—28no—
707C22×D4—28no—
708C22×D4—28no—
709C22×D4—28no—
710C22×D4—24no—
711C22×D4—44no—
712C22×D4—44no—
713C22×D4—44no—
714C22×D4—44no—
715C22×D4—82no—
716C22×D4—82no—
717C22×D4C2412yes—
718C22×D4C2412yes—
719C22×D4C2411yescharacteristic
720C22×D4C2412yes—
721C22×D4C2414yes—
722C22×D4C2414yes—
723C22×D4C2412yes—
724C22×D4C2412yes—
725C22×D4C2412yes—
726C22×D4C2412yes—
727C22×D4C2414yes—
728C22×D4C2412yes—
729C22×D4C2414yes—
730C22×D4C2414yes—
731C22×D4C2414yes—
732C22×D4C2414yes—
733C22×D4C2411yescharacteristic
734C22×D4C2411yescharacteristic
735C22×D4C2414yes—
736C23×C4—24no—
737C23×C4—28no—
738C23×C4—44no—
739C23×C4—44no—
740C23×C4—44no—
741C23×C4—48no—
742C23×C4—48no—
743C23×C4—82no—
744C23×C4—84no—
745C23×C4#4118yescomplemented
746C23×C4C2412yes—
747C23×C4C2412yes—
748C23×C4C2412yes—
749C23×C4C2412yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2412yes—
755C23×C4C2412yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2412yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2412yes—
762C23×C4C2414yes—
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773#126—84no—
774#124—48no—
775#123—28no—
776#123—48no—
777#123—48no—
778#123—48no—
779#123—48no—
780#123—84no—
781#123—84no—
782#123—84no—
783#123—84no—
784C22⋊Q8—24no—
785C22⋊Q8—24no—
786C22⋊Q8—48no—
787C22⋊Q8—48no—
788C22⋊Q8—44no—
789C22⋊Q8—48no—
790C22⋊Q8—48no—
791C22⋊Q8—44no—
792C22⋊Q8—84no—
793#121—216no—
794#121—24no—
795#121—24no—
796#121—44no—
797#121—48no—
798#121—48no—
799#121—48no—
800#121—48no—
801#121—48no—
802#121—48no—
803#121—44no—
804#121—84no—
805#120—28no—
806#120—28no—
807#120—28no—
808#120—216no—
809#120—48no—
810#120—48no—
811#120—48no—
812#120—48no—
813#120—48no—
814#120—84no—
815C4×Q8—48no—
816C4×D4—216no—
817C4×D4—28no—
818C4×D4—28no—
819C4×D4—48no—
820C4×D4—48no—
821C4×D4—48no—
822C4×D4—48no—
823C4×D4—48no—
824C4×D4—48no—
825C4×D4—48no—
826C4×D4—84no—
827#117—24no—
828#117—44no—
829#117—48no—
830#117—44no—
831#117—44no—
832C2×C4⋊C4—44no—
833C2×C4⋊C4—44no—
834C2×C4⋊C4—44no—
835C2×C4⋊C4—44no—
836C2×C4⋊C4—84no—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2412yes—
842C2×C4⋊C4C2412yes—
843C2×C4⋊C4C2412yes—
844C2×C4⋊C4C2412yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2412yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2412yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C22⋊C4—216no—
872C2×C22⋊C4—28no—
873C2×C22⋊C4—28no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—28no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—24no—
879C2×C22⋊C4—28no—
880C2×C22⋊C4—44no—
881C2×C22⋊C4—44no—
882C2×C22⋊C4—44no—
883C2×C22⋊C4—48no—
884C2×C22⋊C4—44no—
885C2×C22⋊C4—44no—
886C2×C22⋊C4—48no—
887C2×C22⋊C4—44no—
888C2×C22⋊C4—44no—
889C2×C22⋊C4—48no—
890C2×C22⋊C4—44no—
891C2×C22⋊C4—44no—
892C2×C22⋊C4—82no—
893C2×C22⋊C4—82no—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2412yes—
899C2×C22⋊C4C2412yes—
900C2×C22⋊C4C2412yes—
901C2×C22⋊C4C2412yes—
902C2×C22⋊C4C2412yes—
903C2×C22⋊C4C2412yes—
904C2×C22⋊C4C2412yes—
905C2×C22⋊C4C2412yes—
906C2×C22⋊C4C2412yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2412yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2412yes—
914C2×C22⋊C4C2412yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C42C2414yes—
957C2×C42C2412yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963#95C2414yes—
964#95C2412yes—
965#95C2412yes—
966#95C2412yes—
967#95C2412yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2412yes—
974#95C2412yes—
975#95C2412yes—
976#95C2414yes—
977#95C2414yes—
978#95C2412yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2412yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2412yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010C24—232no—
1011C24—24no—
1012C24—22no—
1013C24—24no—
1014C24—24no—
1015C24—24no—
1016C24—22no—
1017C24—24no—
1018C24—22no—
1019C24—22no—
1020C24—24no—
1021C24—22no—
1022C24—24no—
1023C24—22no—
1024C24—28no—
1025C24—24no—
1026C24—24no—
1027C24—24no—
1028C24—24no—
1029C24—42no—
1030C24—44no—
1031C24—42no—
1032C24—42no—
1033C24—42no—
1034C24—42no—
1035C24—42no—
1036C24—42no—
1037C24—42no—
1038C24—44no—
1039C24—44no—
1040C24—88no—
1041C24—816no—
1042C24—816no—
1043C24—88no—
1044C24C2×#4114yes—
1045C24H(5,𝔽2)14yes—
1046C242−1+414yes—
1047C24C2512yes—
1048C24C2512yes—
1049C24C2511yescharacteristic
1050C24C2512yes—
1051C24C2512yes—
1052C24C2512yes—
1053C24C2511yescharacteristic
1054C24C2511yescharacteristic
1055#41—232no—
1056#41—432no—
1057#41—432no—
1058#41—416no—
1059#41—416no—
1060#41—416no—
1061#41—88no—
1062#41—832no—
1063C2×Q8—22no—
1064C2×Q8—24no—
1065C2×Q8—22no—
1066C2×Q8—22no—
1067C2×Q8—24no—
1068C2×Q8—24no—
1069C2×Q8—42no—
1070C2×Q8—42no—
1071C2×Q8—42no—
1072C2×Q8—44no—
1073C2×Q8—44no—
1074C2×Q8—44no—
1075C2×Q8—416no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—24no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—24no—
1084C2×D4—24no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
1089C2×D4—24no—
1090C2×D4—24no—
1091C2×D4—24no—
1092C2×D4—24no—
1093C2×D4—24no—
1094C2×D4—28no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—22no—
1102C2×D4—24no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—24no—
1106C2×D4—44no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
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—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—432no—
1128C2×D4—416no—
1129C2×D4—816no—
1130C2×D4—816no—
1131C2×D4H(5,𝔽2)18yes—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—28no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—28no—
1145C22×C4—28no—
1146C22×C4—28no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—42no—
1159C22×C4—416no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—44no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—432no—
1198C22×C4—88no—
1199C22×C4—832no—
1200C22×C4C2×#4114yes—
1201C22×C4C2×#4114yes—
1202C22×C4C2×#4114yes—
1203C22×C4C2×#4114yes—
1204C22×C4C2×#4114yes—
1205C22×C4C2×#4114yes—
1206C22×C4C2512yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2514yes—
1213C22×C4C2514yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2514yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C22⋊C4—24no—
1260C22⋊C4—24no—
1261C22⋊C4—24no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—24no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—24no—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—24no—
1277C22⋊C4—24no—
1278C22⋊C4—24no—
1279C22⋊C4—24no—
1280C22⋊C4—24no—
1281C22⋊C4—24no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—42no—
1288C22⋊C4—44no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—44no—
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—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C42—24no—
1322C42—28no—
1323C42—44no—
1324C42—44no—
1325C42—44no—
1326C42—44no—
1327C42—44no—
1328C23—22no—
1329C23—21no—
1330C23—21no—
1331C23—22no—
1332C23—22no—
1333C23—216no—
1334C23—216no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—24no—
1339C23—24no—
1340C23—21no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—21no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—24no—
1352C23—24no—
1353C23—28no—
1354C23—28no—
1355C23—28no—
1356C23—28no—
1357C23—22no—
1358C23—22no—
1359C23—24no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—24no—
1369C23—44no—
1370C23—48no—
1371C23—48no—
1372C23—416no—
1373C23—48no—
1374C23—48no—
1375C23—416no—
1376C23—48no—
1377C23—48no—
1378C23—48no—
1379C23—48no—
1380C23—48no—
1381C23—48no—
1382C23—84no—
1383C23—84no—
1384C23—84no—
1385C23—82no—
1386C23—82no—
1387C23—82no—
1388C23—82no—
1389C23—84no—
1390C23—84no—
1391C23—84no—
1392C23—84no—
1393C23—88no—
1394C23—88no—
1395C23—864no—
1396C23C22×#4112yes—
1397C23C22×#4112yes—
1398C23C22×#4112yes—
1399C23C2×H(5,𝔽2)14yes—
1400C23C2×H(5,𝔽2)14yes—
1401C23C2×H(5,𝔽2)14yes—
1402C23C2×H(5,𝔽2)12yes—
1403C23C2×2−1+414yes—
1404C23C2×2−1+412yes—
1405C23C2611yescharacteristic
1406Q8—28no—
1407Q8—48no—
1408Q8—44no—
1409Q8—82no—
1410Q8—88no—
1411D4—28no—
1412D4—216no—
1413D4—48no—
1414D4—48no—
1415D4—44no—
1416D4—48no—
1417D4—416no—
1418D4—416no—
1419D4—48no—
1420D4—48no—
1421D4—48no—
1422D4—82no—
1423D4—84no—
1424D4—88no—
1425D4—88no—
1426D4—88no—
1427D4—88no—
1428D4—88no—
1429D4—164no—
1430C2×C4—216no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—28no—
1438C2×C4—28no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—24no—
1454C2×C4—24no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—48no—
1482C2×C4—48no—
1483C2×C4—48no—
1484C2×C4—48no—
1485C2×C4—48no—
1486C2×C4—416no—
1487C2×C4—84no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—84no—
1491C2×C4—88no—
1492C2×C4—88no—
1493C2×C4—88no—
1494C2×C4—84no—
1495C2×C4—84no—
1496C2×C4—88no—
1497C2×C4—88no—
1498C2×C4—88no—
1499C2×C4—88no—
1500C2×C4—164no—
1501C2×C4C22×#4112yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C2×H(5,𝔽2)14yes—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—22no—
1510C22—24no—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—22no—
1516C22—22no—
1517C22—24no—
1518C22—24no—
1519C22—22no—
1520C22—28no—
1521C22—24no—
1522C22—24no—
1523C22—28no—
1524C22—416no—
1525C22—432no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—44no—
1533C22—42no—
1534C22—42no—
1535C22—44no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—44no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—44no—
1549C22—42no—
1550C22—88no—
1551C22—88no—
1552C22—816no—
1553C22—816no—
1554C22#349014yes—
1555C22#349214yes—
1556C22C23×#4111yescharacteristic
1557C22C22×H(5,𝔽2)12yes—
1558C22C22×H(5,𝔽2)11yescharacteristic
1559C22C22×2−1+411yescharacteristic
1560C22H(7,𝔽2)12yes—
1561C4—22no—
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—24no—
1566C4—42no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—44no—
1573C4—44no—
1574C4—44no—
1575C4—44no—
1576C4—44no—
1577C4—44no—
1578C4—44no—
1579C4—44no—
1580C2—24no—
1581C2—24no—
1582C2—42no—
1583C2—44no—
1584C2—44no—
1585C2—44no—
1586C2—82no—
1587C2—82no—
1588C2C2×#349011yescharacteristic
1589C2C2×#349211yescharacteristic
1590C2#6285511yescharacteristic
1591C2#6289212yes—
1592C2#6289412yes—
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. #47884C2semidirect
2. #47883C2semidirect
3. #47882C2semidirect
4. #47881C2semidirect
5. #47000C2semidirect
6. #46391C2semidirect
7. #43081C2semidirect
8. #43080C2semidirect
9. #43079C2semidirect
10. #43078C2semidirect
11. #39037C2semidirect
12. #38052C2semidirect
13. #37940C2semidirect
14. #37932C2semidirect
15. #37872C2semidirect
16. #37860C2semidirect
17. #37745C2semidirect
18. #37478C2semidirect
19. #36791C2semidirect
20. #36098C2semidirect
21. #35353C2semidirect
22. #35251C2semidirect
23. #35050C2semidirect
24. C2×#2404C2semidirect
25. #34386C2semidirect
26. #34175C2semidirect
27. C2×#2315C2semidirect
30. C2×#537C22semidirect
32. C2×#525C22semidirect
34. C2×#520C22semidirect
38. #2849C22semidirect
39. #2848C22semidirect
40. #2847C22semidirect
41. #2847C22semidirect
43. #2841C22semidirect
44. #2804C22semidirect
45. #2797C22semidirect
46. #2788C22semidirect
47. #2784C22semidirect
48. #2780C22semidirect
49. #2778C22semidirect
50. #2764C22semidirect
51. #2763C22semidirect
52. #2751C22semidirect
53. #2750C22semidirect
54. #2749C22semidirect
55. #2748C22semidirect
56. #2746C22semidirect
57. #2746C22semidirect
58. #2745C22semidirect
59. #2743C22semidirect
60. #2743C22semidirect
61. #2740C22semidirect
62. #2737C22semidirect
63. #2717C22semidirect
64. #2714C22semidirect
65. #2710C22semidirect
66. #2708C22semidirect
67. #2708C22semidirect
68. #2706C22semidirect
69. #2706C22semidirect
70. #2705C22semidirect
71. #2696C22semidirect
72. #2695C22semidirect
73. #2693C22semidirect
74. #2692C22semidirect
75. #2692C22semidirect
76. #2688C22semidirect
77. #2688C22semidirect
78. #2687C22semidirect
79. #2687C22semidirect
80. #2686C22semidirect
81. #2682C22semidirect
82. #2671C22semidirect
83. #2671C22semidirect
84. #2667C22semidirect
85. #2665C22semidirect
86. #2659C22semidirect
87. #2646C22semidirect
88. #2643C22semidirect
89. #2639C22semidirect
90. #2627C22semidirect
95. #2616C22semidirect
96. #2616C22semidirect
97. #2615C22semidirect
98. #2615C22semidirect
99. #2609C22semidirect
100. #2603C22semidirect
101. #2600C22semidirect
102. #2599C22semidirect
103. #2598C22semidirect
104. #2589C22semidirect
105. #2580C22semidirect
106. #2579C22semidirect
107. #2578C22semidirect
108. #2569C22semidirect
109. #2569C22semidirect
110. #2564C22semidirect
111. #2564C22semidirect
112. #2561C22semidirect
113. #2553C22semidirect
114. #2549C22semidirect
115. #2539C22semidirect
116. #2539C22semidirect
117. #2534C22semidirect
118. #2534C22semidirect
119. #2527C22semidirect
120. #2510C22semidirect
121. #2505C22semidirect
122. #2482C22semidirect
123. #2481C22semidirect
124. #2480C22semidirect
125. #2477C22semidirect
126. #2477C22semidirect
127. #2476C22semidirect
128. #2472C22semidirect
129. #2472C22semidirect
130. #2470C22semidirect
131. #2465C22semidirect
132. #2464C22semidirect
133. #2464C22semidirect
134. #2461C22semidirect
135. #2458C22semidirect
136. #2456C22semidirect
137. #2455C22semidirect
138. #2450C22semidirect
139. #2450C22semidirect
140. #2449C22semidirect
141. #2449C22semidirect
142. #2443C22semidirect
143. #2443C22semidirect
144. #2443C22semidirect
145. #2438C22semidirect
148. #2437C22semidirect
149. #2430C22semidirect
150. #2430C22semidirect
151. #2430C22semidirect
152. #2430C22semidirect
153. #2424C22semidirect
154. #2424C22semidirect
155. #2424C22semidirect
156. #2424C22semidirect
157. #2419C22semidirect
158. #2418C22semidirect
159. #2418C22semidirect
160. #2418C22semidirect
162. #2412C22semidirect
163. #2411C22semidirect
164. #2411C22semidirect
167. #2409C22semidirect
168. #2408C22semidirect
169. #2407C22semidirect
170. #2407C22semidirect
171. #2406C22semidirect
179. #2404C22semidirect
180. #2404C22semidirect
185. #2378C22semidirect
186. #2377C22semidirect
189. #2353C22semidirect
190. #2349C22semidirect
191. #2343C22semidirect
193. #2341C22semidirect
194. Q8×C22⋊C4C22semidirect
195. #2339C22semidirect
196. #2339C22semidirect
197. #2339C22semidirect
200. D4×C22⋊C4C22semidirect
201. #2329C22semidirect
202. #2325C22semidirect
203. #2325C22semidirect
204. #2322C22semidirect
207. #2319C22semidirect
208. #2318C22semidirect
209. #2318C22semidirect
214. #2315C22semidirect
215. #2315C22semidirect
216. #2315C22semidirect
217. #2315C22semidirect
218. #2311C22semidirect
219. #2311C22semidirect
220. #2311C22semidirect
221. #2311C22semidirect
222. C4×#120C22semidirect
226. C2×#385C22semidirect
227. C2×#385C22semidirect
229. #2280C22semidirect
234. C2×#380C22semidirect
257. C2×#126C23semidirect
268. C2×#123C23semidirect
269. C2×#123C23semidirect
275. C2×C22⋊Q8C23semidirect
276. C2×C22⋊Q8C23semidirect
277. C2×C22⋊Q8C23semidirect
278. C2×C22⋊Q8C23semidirect
288. C2×#121C23semidirect
289. C2×#121C23semidirect
290. C2×#121C23semidirect
303. C2×C4×Q8C23semidirect
314. C2×C4×D4C23semidirect
318. C2×#117C23semidirect
319. C2×#117C23semidirect
323. C22×C4⋊C4C23semidirect
324. C22×C4⋊C4C23semidirect
350. #401C23semidirect
351. #400C23semidirect
352. #400C23semidirect
353. #400C23semidirect
354. #400C23semidirect
355. #400C23semidirect
356. #400C23semidirect
357. #400C23semidirect
358. #400C23semidirect
359. #400C23semidirect
360. #400C23semidirect
365. #399C23semidirect
366. #399C23semidirect
367. #399C23semidirect
368. #398C23semidirect
369. #398C23semidirect
370. #398C23semidirect
371. #398C23semidirect
372. #398C23semidirect
373. #398C23semidirect
374. #398C23semidirect
375. #398C23semidirect
376. #398C23semidirect
381. #397C23semidirect
382. #397C23semidirect
383. #397C23semidirect
384. #397C23semidirect
385. #397C23semidirect
386. #397C23semidirect
387. #397C23semidirect
388. #397C23semidirect
395. #396C23semidirect
396. #396C23semidirect
397. #396C23semidirect
398. #395C23semidirect
399. #395C23semidirect
400. #395C23semidirect
401. #395C23semidirect
402. #395C23semidirect
403. #395C23semidirect
416. #394C23semidirect
417. #394C23semidirect
418. #394C23semidirect
419. #394C23semidirect
420. #394C23semidirect
421. #394C23semidirect
432. #393C23semidirect
433. #393C23semidirect
434. #393C23semidirect
435. #393C23semidirect
448. #392C23semidirect
449. #392C23semidirect
450. #391C23semidirect
451. #391C23semidirect
452. #391C23semidirect
453. #391C23semidirect
454. #391C23semidirect
455. #391C23semidirect
464. #390C23semidirect
465. #390C23semidirect
466. #389C23semidirect
467. #389C23semidirect
468. #389C23semidirect
469. #389C23semidirect
482. #388C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #388C23semidirect
487. #388C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #387C23semidirect
492. #387C23semidirect
493. #387C23semidirect
494. #387C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
500. #387C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
504. #387C23semidirect
505. #387C23semidirect
544. #386C23semidirect
545. #386C23semidirect
546. #386C23semidirect
547. #386C23semidirect
548. #386C23semidirect
549. #386C23semidirect
550. #386C23semidirect
581. #385C23semidirect
582. #385C23semidirect
583. #385C23semidirect
584. #385C23semidirect
585. #385C23semidirect
586. #385C23semidirect
587. #385C23semidirect
588. #385C23semidirect
589. #385C23semidirect
590. #383C23semidirect
591. #383C23semidirect
592. #382C23semidirect
593. #382C23semidirect
602. #381C23semidirect
603. #381C23semidirect
604. #381C23semidirect
629. #380C23semidirect
630. #380C23semidirect
631. #380C23semidirect
632. #380C23semidirect
633. #380C23semidirect
634. #380C23semidirect
635. #380C23semidirect
636. #380C23semidirect
637. #380C23semidirect
638. #380C23semidirect
639. #380C23semidirect
647. C4×C4⋊C4C23semidirect
655. C4×C22⋊C4C23semidirect
656. C4×C22⋊C4C23semidirect
657. #376C23semidirect
666. C2×#95C23semidirect
667. C2×#95C23semidirect
745. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#478842
#478832
#478822
#478812
#470002
#463912
#430812
#430802
#430792
#430782
#390372
#380522
#379402
#379322
#378722
#378602
#377452
#374782
#367912
#360982
#353532
#352512
#350502
C2×#24042
#343862
#341752
C2×#23152