Finite Group Databasebeta

← #7732577

Subgroups — #7732577

Order 512.

5744 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#51059C214yesmaximal, complemented
2#50680C214yesmaximal, complemented
3#47715C214yesmaximal, complemented
4#47713C214yesmaximal, complemented
5#43975C214yesmaximal, complemented
6#43887C214yesmaximal, complemented
7#39548C212yesmaximal, complemented
8#39548C212yesmaximal, complemented
9#39503C212yesmaximal, complemented
10#39486C212yesmaximal, complemented
11#39272C212yesmaximal, complemented
12#39268C212yesmaximal, complemented
13#37775C212yesmaximal, complemented
14#37772C212yesmaximal, complemented
15#37665C212yesmaximal, complemented
16#37662C212yesmaximal, complemented
17#37536C211yesmaximal, characteristic, complemented
18#37372C212yesmaximal, complemented
19#37348C212yesmaximal, complemented
20#36123C212yesmaximal, complemented
21#36108C212yesmaximal, complemented
22#35607C212yesmaximal, complemented
23#35570C212yesmaximal, complemented
24#35239C211yesmaximal, characteristic, complemented
25#35165C211yesmaximal, characteristic, complemented
26C2×#2540C211yesmaximal, characteristic, complemented
27#34377C211yesmaximal, characteristic, complemented
28#34236C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C2×#546C2214yes—
31C2×#542C2212yescomplemented
32C2×#540C2212yescomplemented
33C2×#535C2212yes—
34C2×#532C2211yescharacteristic
35C2×#532C2212yescomplemented
36C2×#529C2212yescomplemented
37C22×#124C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43#2857C2212yes—
44#2856C2212yescomplemented
45#2855C2212yescomplemented
46#2854C2212yescomplemented
47#2851C2212yes—
48#2850C2212yescomplemented
49#2847C2212yes—
50#2847C2212yes—
51#2819C2212yescomplemented
52#2819C2212yescomplemented
53#2808C2214yescomplemented
54#2803C2214yescomplemented
55#2803C2214yescomplemented
56#2798C2214yescomplemented
57#2796C2214yescomplemented
58#2796C2214yescomplemented
59#2754C2214yescomplemented
60#2753C2214yescomplemented
61#2753C2214yescomplemented
62#2748C2214yescomplemented
63#2743C2214yescomplemented
64#2741C2214yescomplemented
65#2740C2214yescomplemented
66#2733C2214yescomplemented
67#2730C2214yescomplemented
68#2724C2214yescomplemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2712C2214yescomplemented
72#2711C2214yescomplemented
73#2711C2214yescomplemented
74#2710C2214yescomplemented
75#2705C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2702C2214yescomplemented
79#2701C2214yescomplemented
80#2701C2214yescomplemented
81#2700C2214yescomplemented
82#2699C2214yescomplemented
83#2699C2214yescomplemented
84#2692C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2687C2214yescomplemented
88#2682C2214yescomplemented
89#2673C2214yescomplemented
90#2673C2214yescomplemented
91#2671C2214yescomplemented
92#2671C2214yescomplemented
93#2666C2214yescomplemented
94#2657C2212yescomplemented
95#2640C2212yescomplemented
96#2631C2214yescomplemented
97#2625C2212yescomplemented
98#2624C2212yescomplemented
99#2620C2212yescomplemented
100#2619C2212yescomplemented
101#2617C2212yes—
102#2617C2212yes—
103#2617C2212yes—
104#2617C2212yes—
105#2607C2214yescomplemented
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2597C2214yescomplemented
109#2597C2214yescomplemented
110#2589C2214yescomplemented
111#2571C2211yescharacteristic, complemented
112#2570C2212yescomplemented
113#2564C2214yescomplemented
114#2560C2214yescomplemented
115#2559C2214yescomplemented
116#2559C2214yescomplemented
117#2557C2214yescomplemented
118#2555C2214yescomplemented
119#2555C2214yescomplemented
120#2553C2214yescomplemented
121#2552C2211yescharacteristic, complemented
122#2552C2211yescharacteristic, complemented
123#2551C2211yescharacteristic, complemented
124#2550C2212yescomplemented
125#2547C2212yescomplemented
126#2544C2212yescomplemented
127#2544C2214yescomplemented
128#2544C2212yescomplemented
129#2543C2214yescomplemented
130#2543C2214yescomplemented
131#2541C2212yescomplemented
132#2540C2212yes—
133#2540C2214yes—
134#2540C2212yes—
135#2540C2212yes—
136#2540C2214yes—
137#2540C2212yes—
138#2537C2212yescomplemented
139#2537C2212yescomplemented
140#2535C2214yescomplemented
141#2521C2214yescomplemented
142#2513C2214yescomplemented
143#2500C2214yescomplemented
144#2498C2214yescomplemented
145#2492C2212yescomplemented
146#2491C2212yescomplemented
147#2491C2214yescomplemented
148#2490C2212yescomplemented
149#2489C2212yescomplemented
150#2488C2214yescomplemented
151#2481C2214yes—
152#2481C2214yes—
153#2477C2214yescomplemented
154#2472C2214yes—
155#2472C2214yes—
156#2471C2214yescomplemented
157#2467C2214yescomplemented
158#2464C2214yescomplemented
159#2464C2214yescomplemented
160#2459C2214yescomplemented
161#2456C2214yescomplemented
162#2456C2214yescomplemented
163#2450C2214yescomplemented
164#2447C2214yescomplemented
165#2442C2212yes—
166#2440C2212yes—
167#2438C2214yes—
168#2436C2212yes—
169#2433C2212yes—
170#2432C2214yescomplemented
171#2431C2214yescomplemented
172#2430C2214yescomplemented
173#2430C2214yescomplemented
174#2428C2212yescomplemented
175#2428C2212yescomplemented
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2428C2214yescomplemented
179#2427C2212yescomplemented
180#2427C2212yescomplemented
181#2426C2212yescomplemented
182#2426C2212yescomplemented
183#2423C2212yescomplemented
184#2422C2212yescomplemented
185#2422C2214yescomplemented
186#2421C2212yescomplemented
187#2420C2212yescomplemented
188#2418C2214yes—
189#2418C2214yes—
190#2417C2214yes—
191#2414C2214yescomplemented
192#2412C2214yes—
193#2412C2214yes—
194#2410C2214yes—
195#2410C2214yes—
196#2408C2214yes—
197#2407C2214yescomplemented
198#2404C2214yes—
199C2×#399C2212yes—
200C2×#392C2212yes—
201#2379C2212yescomplemented
202#2379C2212yescomplemented
203#2369C2211yescharacteristic, complemented
204#2369C2211yescharacteristic, complemented
205#2367C2212yescomplemented
206#2367C2212yescomplemented
207#2366C2211yescharacteristic, complemented
208#2366C2211yescharacteristic, complemented
209#2361C2212yes—
210#2361C2212yes—
211#2358C2214yes—
212#2358C2214yes—
213#2357C2212yescomplemented
214#2352C2214yes—
215#2349C2212yescomplemented
216#2342C2214yes—
217Q8×C22⋊C4C2212yes—
218#2339C2214yes—
219D4×C22⋊C4C2212yes—
220#2337C2214yescomplemented
221#2337C2214yescomplemented
222#2331C2212yescomplemented
223#2330C2212yescomplemented
224#2326C2212yescomplemented
225#2326C2212yescomplemented
226#2324C2212yescomplemented
227#2323C2212yescomplemented
228#2319C2212yescomplemented
229#2318C2212yescomplemented
230#2318C2212yescomplemented
231#2318C2212yescomplemented
232#2318C2212yescomplemented
233#2315C2211yescharacteristic
234#2315C2211yescharacteristic
235#2315C2212yes—
236#2313C2212yes—
237#2312C2211yescharacteristic
238#2312C2211yescharacteristic
239#2312C2212yes—
240#2311C2212yes—
241#2308C2212yes—
242C4×C22⋊Q8C2212yescomplemented
243C4×#121C2212yes—
244C4×#121C2212yes—
245C4×#121C2212yescomplemented
246C2×#390C2212yes—
247C2×#390C2212yes—
248#2290C2212yescomplemented
249#2290C2212yescomplemented
250#2290C2212yescomplemented
251#2290C2212yescomplemented
252#2285C2211yescharacteristic
253#2283C2211yescharacteristic
254#2283C2211yescharacteristic
255#2280C2212yes—
256#2275C2212yescomplemented
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C22⋊C4C2212yes—
259C22×#41C2312yes—
260C22×#41C2314yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2311yescharacteristic
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268#546—416no—
269#542—48no—
270#540—48no—
271#535—48no—
272#532—28no—
273#532—48no—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2312yes—
277C2×#127C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2312yes—
280C2×#127C2314yes—
281#529—48no—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2312yes—
285C2×#125C2312yes—
286C2×#124—28no—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#124C2314yes—
297C2×#124C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×C22⋊Q8—44no—
305C2×C22⋊Q8—44no—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2314yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×#121—44no—
315C2×#121—44no—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2314yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4—28no—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2312yes—
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C42C2312yes—
384C22×C42C2312yes—
385C22×C42C2312yes—
386C22×C42C2311yescharacteristic
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#395C2314yes—
424#395C2314yes—
425#394C2314yes—
426#394C2314yes—
427#394C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#393C2314yes—
452#393C2314yes—
453#393C2314yes—
454#393C2314yes—
455#393C2314yes—
456#393C2314yes—
457#392C2314yes—
458#392C2314yes—
459#392C2314yes—
460#392C2314yes—
461#392C2314yes—
462#392C2314yes—
463#392C2314yes—
464#392C2314yes—
465#392C2314yes—
466#392C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2314yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#390C2314yes—
488#390C2314yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2314yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2314yes—
507#390C2314yes—
508#390C2314yes—
509#390C2314yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2312yes—
529#388C2312yes—
530#388C2312yes—
531#388C2312yes—
532#388C2312yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
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#388C2314yes—
561#387C2314yes—
562#387C2312yes—
563#387C2314yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#386C2314yes—
580#386C2312yes—
581#386C2312yes—
582#386C2312yes—
583#386C2312yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2312yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2312yes—
620#385C2312yes—
621#385C2312yes—
622#385C2312yes—
623#385C2312yes—
624#385C2312yes—
625#385C2312yes—
626#385C2312yes—
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#384C2312yes—
640#384C2311yescharacteristic
641#384C2311yescharacteristic
642#384C2312yes—
643#383C2312yes—
644#383C2312yes—
645#382C2311yescharacteristic
646#382C2311yescharacteristic
647#382C2312yes—
648#382C2312yes—
649#382C2311yescharacteristic
650#382C2311yescharacteristic
651#382C2314yes—
652#382C2312yes—
653#381C2312yes—
654#381C2312yes—
655#381C2312yes—
656#381C2312yes—
657#381C2314yes—
658#381C2314yes—
659#381C2314yes—
660#380C2314yes—
661#380C2314yes—
662#380C2314yes—
663#380C2311yescharacteristic
664#380C2311yescharacteristic
665#380C2311yescharacteristic
666#380C2312yes—
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2314yes—
681#379C2312yes—
682#379C2312yes—
683#379C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2312yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2311yescharacteristic
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2311yescharacteristic
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2311yescharacteristic
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2311yescharacteristic
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719#376C2312yes—
720#376C2312yes—
721C2×#95C2314yes—
722C2×#95C2312yes—
723C2×#95C2312yes—
724C2×#95C2312yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C25C2411yescharacteristic
728C2×#41—28no—
729C2×#41—44no—
730C2×#41—48no—
731C2×#41—44no—
732C2×#41—48no—
733C2×#41—84no—
734C22×Q8—24no—
735C22×Q8—42no—
736C22×Q8—42no—
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×Q8C2414yes—
740C22×Q8C2412yes—
741C22×D4—24no—
742C22×D4—28no—
743C22×D4—24no—
744C22×D4—24no—
745C22×D4—42no—
746C22×D4—42no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—42no—
750C22×D4—44no—
751C22×D4—82no—
752C22×D4—82no—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2412yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2414yes—
764C22×D4C2412yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C23×C4—24no—
774C23×C4—24no—
775C23×C4—42no—
776C23×C4—42no—
777C23×C4—42no—
778C23×C4—42no—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2414yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2412yes—
799C23×C4C2411yescharacteristic
800C4⋊Q8—28no—
801C4⋊Q8—24no—
802C4⋊Q8—82no—
803#127—24no—
804#127—44no—
805#127—44no—
806#127—48no—
807#126—48no—
808#126—48no—
809#125—28no—
810#125—82no—
811#124—28no—
812#124—28no—
813#124—28no—
814#124—28no—
815#124—28no—
816#124—44no—
817#124—44no—
818#124—48no—
819#124—48no—
820#124—48no—
821#124—48no—
822#123—48no—
823#123—48no—
824#123—48no—
825#123—48no—
826#123—48no—
827#123—48no—
828C22⋊Q8—28no—
829C22⋊Q8—28no—
830C22⋊Q8—48no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835C22⋊Q8—48no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—48no—
841#121—48no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—48no—
853#121—44no—
854#121—44no—
855#121—48no—
856#121—84no—
857#121—84no—
858#121—84no—
859#120—216no—
860#120—48no—
861#120—48no—
862#120—48no—
863C4×Q8—44no—
864C4×Q8—44no—
865C4×D4—28no—
866C4×D4—28no—
867C4×D4—28no—
868C4×D4—28no—
869C4×D4—28no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—48no—
876C4×D4—48no—
877C4×D4—48no—
878C4×D4—48no—
879C4×D4—48no—
880C4×D4—82no—
881C4×D4—82no—
882#117—44no—
883#117—44no—
884#117—44no—
885#117—48no—
886C2×C4⋊C4—24no—
887C2×C4⋊C4—24no—
888C2×C4⋊C4—24no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—44no—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C22⋊C4—28no—
937C2×C22⋊C4—24no—
938C2×C22⋊C4—24no—
939C2×C22⋊C4—28no—
940C2×C22⋊C4—28no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—44no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4—44no—
946C2×C22⋊C4—48no—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2412yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C42—44no—
1011C2×C42—44no—
1012C2×C42—82no—
1013C2×C42#4118yescomplemented
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2414yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2414yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087C24—22no—
1088C24—22no—
1089C24—22no—
1090C24—24no—
1091C24—22no—
1092C24—24no—
1093C24—22no—
1094C24—24no—
1095C24—41no—
1096C24—41no—
1097C24—41no—
1098C24—41no—
1099C24—41no—
1100C24—41no—
1101C24—41no—
1102C24—41no—
1103C24—42no—
1104C24—42no—
1105C24—42no—
1106C24—42no—
1107C24H(5,𝔽2)14yes—
1108C24C2514yes—
1109C24C2512yes—
1110C24C2514yes—
1111C24C2512yes—
1112C24C2511yescharacteristic
1113#41—816no—
1114#41—832no—
1115C2×Q8—24no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—24no—
1119C2×Q8—24no—
1120C2×Q8—28no—
1121C2×Q8—42no—
1122C2×Q8—42no—
1123C2×Q8—44no—
1124C2×Q8—42no—
1125C2×Q8—44no—
1126C2×Q8—42no—
1127C2×Q8—88no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—42no—
1155C2×D4—416no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—88no—
1190C2×D4—816no—
1191C2×D4—816no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—42no—
1217C22×C4—41no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—41no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—88no—
1253C22×C4—88no—
1254C22×C4C2×#4114yes—
1255C22×C4C2×#4114yes—
1256C22×C4C2×#4114yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2514yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—22no—
1288C4⋊C4—22no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—41no—
1322C4⋊C4—42no—
1323C4⋊C4—41no—
1324C4⋊C4H(5,𝔽2)14yes—
1325C4⋊C4H(5,𝔽2)14yes—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C42—24no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—42no—
1394C42—42no—
1395C42—42no—
1396C42—42no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C42—42no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42C2×#4114yes—
1407C42C2×#4114yes—
1408C42C2×#4114yes—
1409C42C2×#4114yes—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—28no—
1421C23—24no—
1422C23—22no—
1423C23—24no—
1424C23—22no—
1425C23—24no—
1426C23—24no—
1427C23—24no—
1428C23—24no—
1429C23—24no—
1430C23—22no—
1431C23—22no—
1432C23—24no—
1433C23—24no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—22no—
1438C23—24no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—48no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—82no—
1453C23—82no—
1454C23—82no—
1455C23—82no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23C22×#4112yes—
1463C23C2×H(5,𝔽2)14yes—
1464C23C2×H(5,𝔽2)12yes—
1465C23#58512yes—
1466C23C2611yescharacteristic
1467Q8—48no—
1468Q8—84no—
1469Q8—84no—
1470Q8—88no—
1471D4—48no—
1472D4—48no—
1473D4—416no—
1474D4—48no—
1475D4—416no—
1476D4—48no—
1477D4—48no—
1478D4—84no—
1479D4—88no—
1480D4—84no—
1481D4—88no—
1482D4—88no—
1483D4—88no—
1484D4—88no—
1485D4—88no—
1486D4—88no—
1487D4—164no—
1488D4—164no—
1489D4—164no—
1490D4—164no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—28no—
1506C2×C4—28no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—44no—
1556C2×C4—48no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—48no—
1561C2×C4—88no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4—88no—
1565C2×C4—88no—
1566C2×C4—84no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4—84no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4—88no—
1573C2×C4—164no—
1574C2×C4C22×#4112yes—
1575C2×C4C22×#4112yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C2×H(5,𝔽2)14yes—
1581C2×C4C2×H(5,𝔽2)14yes—
1582C2×C4C2×H(5,𝔽2)12yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—44no—
1598C22—42no—
1599C22—44no—
1600C22—42no—
1601C22—44no—
1602C22—44no—
1603C22—44no—
1604C22—42no—
1605C22—44no—
1606C22—44no—
1607C22—44no—
1608C22—42no—
1609C22—44no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22—44no—
1616C22—44no—
1617C22—42no—
1618C22—88no—
1619C22—88no—
1620C22—168no—
1621C22#349414yes—
1622C22C23×#4111yescharacteristic
1623C22C22×H(5,𝔽2)11yescharacteristic
1624C22C22×H(5,𝔽2)11yescharacteristic
1625C22C22×H(5,𝔽2)11yescharacteristic
1626C22C2×#58511yescharacteristic
1627C22H(7,𝔽2)11yescharacteristic
1628C222−1+611yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—24no—
1635C4—24no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—44no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—44no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4#350814yes—
1653C2—24no—
1654C2—44no—
1655C2—84no—
1656C2—82no—
1657C2—84no—
1658C2C2×#349411yescharacteristic
1659C2C2×#350811yescharacteristic
1660C2#6285611yescharacteristic
1661C2#6289211yescharacteristic
1662C2#6289511yescharacteristic
1663C2#6289611yescharacteristic
1664C2#6289711yescharacteristic
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. #51059C2semidirect
2. #50680C2semidirect
3. #47715C2semidirect
4. #47713C2semidirect
5. #43975C2semidirect
6. #43887C2semidirect
7. #39548C2semidirect
8. #39548C2semidirect
9. #39503C2semidirect
10. #39486C2semidirect
11. #39272C2semidirect
12. #39268C2semidirect
13. #37775C2semidirect
14. #37772C2semidirect
15. #37665C2semidirect
16. #37662C2semidirect
17. #37536C2semidirect
18. #37372C2semidirect
19. #37348C2semidirect
20. #36123C2semidirect
21. #36108C2semidirect
22. #35607C2semidirect
23. #35570C2semidirect
24. #35239C2semidirect
25. #35165C2semidirect
26. C2×#2540C2semidirect
27. #34377C2semidirect
28. #34236C2semidirect
29. #34057C2semidirect
31. C2×#542C22semidirect
32. C2×#540C22semidirect
35. C2×#532C22semidirect
36. C2×#529C22semidirect
44. #2856C22semidirect
45. #2855C22semidirect
46. #2854C22semidirect
48. #2850C22semidirect
51. #2819C22semidirect
52. #2819C22semidirect
53. #2808C22semidirect
54. #2803C22semidirect
55. #2803C22semidirect
56. #2798C22semidirect
57. #2796C22semidirect
58. #2796C22semidirect
59. #2754C22semidirect
60. #2753C22semidirect
61. #2753C22semidirect
62. #2748C22semidirect
63. #2743C22semidirect
64. #2741C22semidirect
65. #2740C22semidirect
66. #2733C22semidirect
67. #2730C22semidirect
68. #2724C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
71. #2712C22semidirect
72. #2711C22semidirect
73. #2711C22semidirect
74. #2710C22semidirect
75. #2705C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2702C22semidirect
79. #2701C22semidirect
80. #2701C22semidirect
81. #2700C22semidirect
82. #2699C22semidirect
83. #2699C22semidirect
84. #2692C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2687C22semidirect
88. #2682C22semidirect
89. #2673C22semidirect
90. #2673C22semidirect
91. #2671C22semidirect
92. #2671C22semidirect
93. #2666C22semidirect
94. #2657C22semidirect
95. #2640C22semidirect
96. #2631C22semidirect
97. #2625C22semidirect
98. #2624C22semidirect
99. #2620C22semidirect
100. #2619C22semidirect
105. #2607C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2597C22semidirect
109. #2597C22semidirect
110. #2589C22semidirect
111. #2571C22semidirect
112. #2570C22semidirect
113. #2564C22semidirect
114. #2560C22semidirect
115. #2559C22semidirect
116. #2559C22semidirect
117. #2557C22semidirect
118. #2555C22semidirect
119. #2555C22semidirect
120. #2553C22semidirect
121. #2552C22semidirect
122. #2552C22semidirect
123. #2551C22semidirect
124. #2550C22semidirect
125. #2547C22semidirect
126. #2544C22semidirect
127. #2544C22semidirect
128. #2544C22semidirect
129. #2543C22semidirect
130. #2543C22semidirect
131. #2541C22semidirect
138. #2537C22semidirect
139. #2537C22semidirect
140. #2535C22semidirect
141. #2521C22semidirect
142. #2513C22semidirect
143. #2500C22semidirect
144. #2498C22semidirect
145. #2492C22semidirect
146. #2491C22semidirect
147. #2491C22semidirect
148. #2490C22semidirect
149. #2489C22semidirect
150. #2488C22semidirect
153. #2477C22semidirect
156. #2471C22semidirect
157. #2467C22semidirect
158. #2464C22semidirect
159. #2464C22semidirect
160. #2459C22semidirect
161. #2456C22semidirect
162. #2456C22semidirect
163. #2450C22semidirect
164. #2447C22semidirect
170. #2432C22semidirect
171. #2431C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2428C22semidirect
175. #2428C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2427C22semidirect
180. #2427C22semidirect
181. #2426C22semidirect
182. #2426C22semidirect
183. #2423C22semidirect
184. #2422C22semidirect
185. #2422C22semidirect
186. #2421C22semidirect
187. #2420C22semidirect
191. #2414C22semidirect
197. #2407C22semidirect
201. #2379C22semidirect
202. #2379C22semidirect
203. #2369C22semidirect
204. #2369C22semidirect
205. #2367C22semidirect
206. #2367C22semidirect
207. #2366C22semidirect
208. #2366C22semidirect
213. #2357C22semidirect
215. #2349C22semidirect
220. #2337C22semidirect
221. #2337C22semidirect
222. #2331C22semidirect
223. #2330C22semidirect
224. #2326C22semidirect
225. #2326C22semidirect
226. #2324C22semidirect
227. #2323C22semidirect
228. #2319C22semidirect
229. #2318C22semidirect
230. #2318C22semidirect
231. #2318C22semidirect
232. #2318C22semidirect
242. C4×C22⋊Q8C22semidirect
245. C4×#121C22semidirect
248. #2290C22semidirect
249. #2290C22semidirect
250. #2290C22semidirect
251. #2290C22semidirect
256. #2275C22semidirect
1013. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#510592
#506802
#477152
#477132
#439752
#438872
#395482
#395032
#394862
#392722
#392682
#377752
#377722
#376652
#376622
#375362
#373722
#373482
#361232
#361082
#356072
#355702
#352392
#351652
C2×#25402
#343772
#342362
#340572