Finite Group Databasebeta

← #7732526

Subgroups — #7732526

Order 512.

5648 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48910C214yesmaximal, complemented
2#48909C214yesmaximal, complemented
3#47236C214yesmaximal, complemented
4#46402C214yesmaximal, complemented
5#43491C214yesmaximal, complemented
6#43022C214yesmaximal, complemented
7#39806C212yesmaximal, complemented
8#39805C212yesmaximal, complemented
9#39742C212yesmaximal, complemented
10#39738C212yesmaximal, complemented
11#39434C212yesmaximal, complemented
12#39066C212yesmaximal, complemented
13#38260C212yesmaximal, complemented
14#38123C212yesmaximal, complemented
15#37970C212yesmaximal, complemented
16#37706C212yesmaximal, complemented
17#37439C211yesmaximal, characteristic, complemented
18#37335C212yesmaximal, complemented
19#37331C212yesmaximal, complemented
20#36263C212yesmaximal, complemented
21#36182C212yesmaximal, complemented
22#35591C212yesmaximal, complemented
23#35538C212yesmaximal, complemented
24#35252C211yesmaximal, characteristic, complemented
25#35001C211yesmaximal, characteristic, complemented
26C2×#2441C211yesmaximal, characteristic, complemented
27#34379C211yesmaximal, characteristic, complemented
28#34204C211yesmaximal, characteristic, complemented
29#34082C211yesmaximal, characteristic, complemented
30C2×#553C2214yescomplemented
31C2×#553C2214yescomplemented
32C2×#540C2212yescomplemented
33C2×#535C2211yescharacteristic, complemented
34C2×#534C2212yes—
35C2×#534C2212yes—
36C22×#125C2211yescharacteristic, complemented
37C2×#525C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#518C2211yescharacteristic, complemented
41C22×#117C2211yescharacteristic
42#2860C2212yescomplemented
43#2859C2212yescomplemented
44#2856C2212yes—
45#2856C2212yes—
46#2856C2212yescomplemented
47#2856C2212yescomplemented
48#2854C2212yescomplemented
49#2850C2212yescomplemented
50#2813C2214yes—
51#2807C2214yescomplemented
52#2803C2214yescomplemented
53#2803C2214yescomplemented
54#2800C2214yescomplemented
55#2797C2214yescomplemented
56#2780C2214yescomplemented
57#2773C2214yescomplemented
58#2773C2214yescomplemented
59#2754C2214yescomplemented
60#2752C2214yescomplemented
61#2727C2214yescomplemented
62#2721C2214yescomplemented
63#2714C2214yescomplemented
64#2711C2214yescomplemented
65#2711C2214yescomplemented
66#2710C2214yescomplemented
67#2707C2214yescomplemented
68#2707C2214yescomplemented
69#2707C2214yescomplemented
70#2706C2214yescomplemented
71#2706C2214yescomplemented
72#2705C2214yescomplemented
73#2705C2214yescomplemented
74#2705C2214yescomplemented
75#2701C2214yescomplemented
76#2697C2214yescomplemented
77#2695C2214yescomplemented
78#2694C2214yescomplemented
79#2694C2214yescomplemented
80#2694C2214yescomplemented
81#2693C2214yescomplemented
82#2685C2214yescomplemented
83#2685C2214yescomplemented
84#2685C2214yescomplemented
85#2682C2214yescomplemented
86#2678C2214yescomplemented
87#2678C2214yescomplemented
88#2673C2214yescomplemented
89#2668C2214yescomplemented
90#2668C2214yescomplemented
91#2656C2212yes—
92#2656C2212yes—
93#2656C2212yescomplemented
94#2644C2212yescomplemented
95#2641C2212yescomplemented
96#2639C2212yescomplemented
97#2629C2212yescomplemented
98#2626C2212yescomplemented
99#2624C2212yes—
100#2624C2212yescomplemented
101#2620C2212yes—
102#2619C2212yes—
103#2617C2212yescomplemented
104#2615C2212yes—
105#2602C2214yescomplemented
106#2602C2214yescomplemented
107#2602C2214yescomplemented
108#2601C2214yescomplemented
109#2596C2214yescomplemented
110#2591C2214yescomplemented
111#2589C2214yescomplemented
112#2575C2214yescomplemented
113#2566C2214yescomplemented
114#2559C2214yescomplemented
115#2558C2214yescomplemented
116#2558C2214yescomplemented
117#2557C2214yescomplemented
118#2554C2214yescomplemented
119#2553C2214yescomplemented
120#2553C2214yescomplemented
121#2543C2214yescomplemented
122#2543C2214yescomplemented
123#2539C2214yes—
124#2539C2214yes—
125#2539C2214yescomplemented
126#2539C2214yescomplemented
127#2534C2214yescomplemented
128#2517C2214yescomplemented
129#2512C2212yescomplemented
130#2512C2214yescomplemented
131#2512C2212yescomplemented
132#2507C2212yescomplemented
133#2506C2212yescomplemented
134#2504C2214yescomplemented
135#2501C2212yes—
136#2501C2212yes—
137#2500C2214yescomplemented
138#2497C2212yescomplemented
139#2496C2212yescomplemented
140#2490C2212yescomplemented
141#2490C2212yescomplemented
142#2487C2212yescomplemented
143#2479C2214yescomplemented
144#2471C2214yescomplemented
145#2471C2214yescomplemented
146#2471C2214yescomplemented
147#2470C2214yescomplemented
148#2467C2214yescomplemented
149#2457C2214yescomplemented
150#2456C2214yescomplemented
151#2455C2214yescomplemented
152#2454C2214yescomplemented
153#2454C2212yescomplemented
154#2454C2212yescomplemented
155#2445C2212yescomplemented
156#2445C2212yescomplemented
157#2444C2214yescomplemented
158#2443C2214yescomplemented
159#2443C2214yescomplemented
160#2443C2214yescomplemented
161#2441C2212yescomplemented
162#2441C2212yescomplemented
163#2441C2214yescomplemented
164#2441C2214yescomplemented
165#2441C2214yescomplemented
166#2441C2212yescomplemented
167#2441C2212yescomplemented
168#2433C2212yes—
169#2433C2212yes—
170#2428C2214yescomplemented
171#2428C2212yescomplemented
172#2428C2212yescomplemented
173#2424C2214yescomplemented
174#2424C2214yescomplemented
175#2422C2212yescomplemented
176#2422C2214yescomplemented
177#2422C2212yescomplemented
178#2418C2214yescomplemented
179#2418C2214yescomplemented
180#2416C2214yescomplemented
181#2416C2214yescomplemented
182#2416C2214yescomplemented
183#2416C2214yescomplemented
184#2416C2212yescomplemented
185#2416C2212yescomplemented
186#2416C2212yescomplemented
187#2416C2212yescomplemented
188#2414C2212yes—
189#2414C2212yes—
190#2414C2214yescomplemented
191#2411C2214yescomplemented
192#2411C2214yescomplemented
193#2410C2214yes—
194#2410C2214yes—
195#2408C2212yescomplemented
196C2×#399C2212yes—
197C2×#396C2212yes—
198#2377C2214yes—
199#2364C2214yescomplemented
200#2363C2212yes—
201#2363C2212yes—
202#2361C2214yescomplemented
203#2361C2212yescomplemented
204#2361C2212yescomplemented
205#2361C2212yescomplemented
206#2361C2212yescomplemented
207#2345C2212yescomplemented
208#2342C2214yescomplemented
209D4×C22⋊C4C2214yes—
210D4×C22⋊C4C2214yes—
211D4×C22⋊C4C2212yescomplemented
212#2335C2212yescomplemented
213#2335C2212yescomplemented
214#2333C2212yescomplemented
215#2332C2212yescomplemented
216#2330C2212yescomplemented
217#2329C2211yescharacteristic, complemented
218#2329C2211yescharacteristic, complemented
219#2325C2211yescharacteristic, complemented
220#2325C2211yescharacteristic, complemented
221#2325C2212yescomplemented
222#2325C2212yescomplemented
223#2324C2212yes—
224#2324C2212yes—
225#2324C2212yes—
226#2324C2212yes—
227#2324C2212yescomplemented
228#2321C2212yes—
229#2321C2212yes—
230#2319C2212yescomplemented
231#2317C2211yescharacteristic, complemented
232#2316C2211yescharacteristic, complemented
233#2315C2212yescomplemented
234#2312C2212yescomplemented
235#2311C2211yescharacteristic, complemented
236#2309C2211yescharacteristic, complemented
237#2309C2211yescharacteristic, complemented
238C4×#127C2212yescomplemented
239C4×#121C2212yescomplemented
240C4×#121C2212yescomplemented
241C4×#121C2212yescomplemented
242#2298C2212yescomplemented
243#2297C2212yescomplemented
244#2293C2212yescomplemented
245#2293C2212yescomplemented
246C2×#389C2212yescomplemented
247C2×#389C2211yescharacteristic, complemented
248C2×#389C2211yescharacteristic, complemented
249#2290C2212yescomplemented
250#2290C2212yescomplemented
251C2×#387C2212yescomplemented
252#2285C2212yescomplemented
253C2×#384C2211yescharacteristic, complemented
254#2280C2211yescharacteristic
255C2×#380C2211yescharacteristic
256#2274C2211yescharacteristic, complemented
257C42×D4C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2312yes—
264C24×C4C2311yescharacteristic
265#553—416no—
266#553—416no—
267#540—48no—
268#535—44no—
269#534—48no—
270#534—48no—
271C2×#127C2312yes—
272C2×#127C2312yes—
273C2×#127C2312yes—
274C2×#126C2314yes—
275C2×#126C2314yes—
276C2×#126C2314yes—
277C2×#126C2314yes—
278C2×#125—44no—
279C2×#125C2312yes—
280C2×#125C2314yes—
281C2×#125C2312yes—
282C2×#125C2314yes—
283C2×#125C2314yes—
284C2×#124C2312yes—
285#525—28no—
286C2×#123C2312yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×#121—28no—
301C2×#121—28no—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2314yes—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2314yes—
317C2×#121C2314yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2314yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#120C2312yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337#518—44no—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2314yes—
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2314yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×#117—44no—
356C2×#117C2311yescharacteristic
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2314yes—
367C2×#117C2314yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2314yes—
387C22×C22⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#393C2314yes—
468#392C2314yes—
469#392C2314yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#390C2312yes—
484#390C2314yes—
485#390C2312yes—
486#390C2314yes—
487#390C2312yes—
488#390C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2314yes—
520#390C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
560#388C2312yes—
561#388C2312yes—
562#388C2312yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#387C2312yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2312yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#386C2314yes—
607#386C2312yes—
608#386C2312yes—
609#386C2312yes—
610#386C2312yes—
611#386C2312yes—
612#386C2312yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2312yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#384C2312yes—
655#384C2314yes—
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#384C2312yes—
660#382C2314yes—
661#382C2312yes—
662#382C2314yes—
663#381C2314yes—
664#381C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2311yescharacteristic
668#380C2312yes—
669#380C2311yescharacteristic
670#380C2314yes—
671#380C2314yes—
672#380C2314yes—
673#380C2312yes—
674#380C2311yescharacteristic
675#380C2311yescharacteristic
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#379C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2312yes—
687#379C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C22⋊C4C2314yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2312yes—
704C4×C22⋊C4C2312yes—
705C4×C22⋊C4C2312yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717#376C2312yes—
718C2×#95C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2311yescharacteristic
721C2×#95C2312yes—
722C2×#95C2312yes—
723C43C2312yes—
724C25C2411yescharacteristic
725C25C2412yes—
726C25C2412yes—
727C2×#41—24no—
728C2×#41—42no—
729C2×#41—42no—
730C22×Q8C2411yescharacteristic
731C22×D4—28no—
732C22×D4—28no—
733C22×D4—24no—
734C22×D4—24no—
735C22×D4—42no—
736C22×D4—42no—
737C22×D4—42no—
738C22×D4—42no—
739C22×D4—44no—
740C22×D4—44no—
741C22×D4—44no—
742C22×D4—44no—
743C22×D4C2412yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2411yescharacteristic
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C23×C4—42no—
764C23×C4—42no—
765C23×C4#4118yes—
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2414yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789#127—44no—
790#127—44no—
791#127—44no—
792#126—48no—
793#126—48no—
794#126—48no—
795#126—48no—
796#125—28no—
797#125—44no—
798#125—48no—
799#125—48no—
800#125—48no—
801#124—44no—
802#123—28no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—48no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—48no—
811#123—48no—
812#123—48no—
813#123—84no—
814C22⋊Q8—24no—
815C22⋊Q8—24no—
816#121—28no—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—24no—
825#121—24no—
826#121—216no—
827#121—216no—
828#121—28no—
829#121—48no—
830#121—48no—
831#121—44no—
832#121—44no—
833#121—48no—
834#121—44no—
835#121—48no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—48no—
840#121—48no—
841#121—48no—
842#121—84no—
843#121—84no—
844#120—28no—
845#120—48no—
846#120—48no—
847#120—48no—
848#120—48no—
849#120—48no—
850#120—84no—
851C4×D4—28no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—28no—
856C4×D4—44no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—48no—
861C4×D4—44no—
862C4×D4—48no—
863C4×D4—48no—
864C4×D4—48no—
865C4×D4—48no—
866C4×D4—48no—
867C4×D4—84no—
868#117—24no—
869#117—24no—
870#117—24no—
871#117—42no—
872#117—42no—
873#117—44no—
874#117—44no—
875#117—44no—
876#117—48no—
877#117—42no—
878#117—42no—
879#117—48no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—24no—
882C2×C4⋊C4—28no—
883C2×C4⋊C4—28no—
884C2×C4⋊C4—24no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4—42no—
887C2×C4⋊C4—42no—
888C2×C4⋊C4—44no—
889C2×C4⋊C4—44no—
890C2×C4⋊C4—82no—
891C2×C4⋊C4—82no—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C22⋊C4—28no—
945C2×C22⋊C4—28no—
946C2×C22⋊C4—24no—
947C2×C22⋊C4—24no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—48no—
950C2×C22⋊C4—82no—
951C2×C22⋊C4—84no—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C42—44no—
1020C2×C42—42no—
1021C2×C42—42no—
1022C2×C42—44no—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086C24—22no—
1087C24—22no—
1088C24—24no—
1089C24—24no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24—41no—
1094C24—42no—
1095C24—42no—
1096C24—42no—
1097C24—42no—
1098C24—42no—
1099C24—42no—
1100C24—42no—
1101C24—42no—
1102C24—42no—
1103C24—42no—
1104C24—42no—
1105C24—42no—
1106C24C2×#4114yes—
1107C24C2514yes—
1108C24C2514yes—
1109C24C2512yes—
1110C24C2511yescharacteristic
1111C24C2511yescharacteristic
1112C24C2511yescharacteristic
1113#41—88no—
1114C2×Q8—22no—
1115C2×Q8—41no—
1116C2×Q8—41no—
1117C2×D4—24no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—22no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—416no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—41no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—42no—
1161C2×D4—41no—
1162C2×D4—42no—
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—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—88no—
1179C2×D4—816no—
1180C2×D4—816no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—28no—
1201C22×C4—24no—
1202C22×C4—416no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—42no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—41no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4C2×#4114yes—
1244C22×C4C2×#4114yes—
1245C22×C4C2×#4114yes—
1246C22×C4C2×#4114yes—
1247C22×C4C2×#4114yes—
1248C22×C4C2×#4114yes—
1249C22×C4H(5,𝔽2)14yes—
1250C22×C4H(5,𝔽2)14yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2514yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—22no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—44no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4H(5,𝔽2)14yes—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—44no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—44no—
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—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C42—24no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—42no—
1403C42—42no—
1404C42—42no—
1405C42—42no—
1406C42—42no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—42no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—28no—
1431C23—22no—
1432C23—24no—
1433C23—24no—
1434C23—22no—
1435C23—22no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—22no—
1450C23—24no—
1451C23—24no—
1452C23—44no—
1453C23—44no—
1454C23—48no—
1455C23—48no—
1456C23—82no—
1457C23—82no—
1458C23—82no—
1459C23—82no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23C22×#4112yes—
1473C23C22×#4112yes—
1474C23C22×#4112yes—
1475C23C2×H(5,𝔽2)12yes—
1476C23C2×H(5,𝔽2)12yes—
1477C23C2611yescharacteristic
1478Q8—82no—
1479D4—48no—
1480D4—48no—
1481D4—416no—
1482D4—416no—
1483D4—48no—
1484D4—48no—
1485D4—88no—
1486D4—88no—
1487D4—88no—
1488D4—84no—
1489D4—82no—
1490D4—84no—
1491D4—88no—
1492D4—88no—
1493D4—84no—
1494D4—164no—
1495D4—164no—
1496D4—164no—
1497D4—164no—
1498D4—164no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—28no—
1512C2×C4—28no—
1513C2×C4—28no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—24no—
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—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—48no—
1568C2×C4—48no—
1569C2×C4—48no—
1570C2×C4—84no—
1571C2×C4—88no—
1572C2×C4—84no—
1573C2×C4—82no—
1574C2×C4—84no—
1575C2×C4—84no—
1576C2×C4—82no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—164no—
1580C2×C4—164no—
1581C2×C4—164no—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C2×H(5,𝔽2)14yes—
1587C2×C4C2×H(5,𝔽2)14yes—
1588C2×C4C2×H(5,𝔽2)14yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4#58512yes—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—44no—
1613C22—44no—
1614C22—44no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—44no—
1619C22—44no—
1620C22—42no—
1621C22—44no—
1622C22—44no—
1623C22—42no—
1624C22—44no—
1625C22—44no—
1626C22—44no—
1627C22—42no—
1628C22—44no—
1629C22—44no—
1630C22—44no—
1631C22—42no—
1632C22—88no—
1633C22—168no—
1634C22—168no—
1635C22#350814yes—
1636C22C23×#4111yescharacteristic
1637C22C22×H(5,𝔽2)11yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×H(5,𝔽2)11yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C222−1+611yescharacteristic
1643C4—22no—
1644C4—22no—
1645C4—22no—
1646C4—24no—
1647C4—24no—
1648C4—24no—
1649C4—42no—
1650C4—44no—
1651C4—44no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4#350514yes—
1666C2—24no—
1667C2—42no—
1668C2—42no—
1669C2—82no—
1670C2—84no—
1671C2—84no—
1672C2C2×#350511yescharacteristic
1673C2C2×#350811yescharacteristic
1674C2#6285611yescharacteristic
1675C2#6290111yescharacteristic
1676C2#6290511yescharacteristic
1677C2#6291411yescharacteristic
1678C2#6291611yescharacteristic
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. #48910C2semidirect
2. #48909C2semidirect
3. #47236C2semidirect
4. #46402C2semidirect
5. #43491C2semidirect
6. #43022C2semidirect
7. #39806C2semidirect
8. #39805C2semidirect
9. #39742C2semidirect
10. #39738C2semidirect
11. #39434C2semidirect
12. #39066C2semidirect
13. #38260C2semidirect
14. #38123C2semidirect
15. #37970C2semidirect
16. #37706C2semidirect
17. #37439C2semidirect
18. #37335C2semidirect
19. #37331C2semidirect
20. #36263C2semidirect
21. #36182C2semidirect
22. #35591C2semidirect
23. #35538C2semidirect
24. #35252C2semidirect
25. #35001C2semidirect
26. C2×#2441C2semidirect
27. #34379C2semidirect
28. #34204C2semidirect
29. #34082C2semidirect
30. C2×#553C22semidirect
31. C2×#553C22semidirect
32. C2×#540C22semidirect
33. C2×#535C22semidirect
36. C22×#125C22semidirect
40. C2×#518C22semidirect
42. #2860C22semidirect
43. #2859C22semidirect
46. #2856C22semidirect
47. #2856C22semidirect
48. #2854C22semidirect
49. #2850C22semidirect
51. #2807C22semidirect
52. #2803C22semidirect
53. #2803C22semidirect
54. #2800C22semidirect
55. #2797C22semidirect
56. #2780C22semidirect
57. #2773C22semidirect
58. #2773C22semidirect
59. #2754C22semidirect
60. #2752C22semidirect
61. #2727C22semidirect
62. #2721C22semidirect
63. #2714C22semidirect
64. #2711C22semidirect
65. #2711C22semidirect
66. #2710C22semidirect
67. #2707C22semidirect
68. #2707C22semidirect
69. #2707C22semidirect
70. #2706C22semidirect
71. #2706C22semidirect
72. #2705C22semidirect
73. #2705C22semidirect
74. #2705C22semidirect
75. #2701C22semidirect
76. #2697C22semidirect
77. #2695C22semidirect
78. #2694C22semidirect
79. #2694C22semidirect
80. #2694C22semidirect
81. #2693C22semidirect
82. #2685C22semidirect
83. #2685C22semidirect
84. #2685C22semidirect
85. #2682C22semidirect
86. #2678C22semidirect
87. #2678C22semidirect
88. #2673C22semidirect
89. #2668C22semidirect
90. #2668C22semidirect
93. #2656C22semidirect
94. #2644C22semidirect
95. #2641C22semidirect
96. #2639C22semidirect
97. #2629C22semidirect
98. #2626C22semidirect
100. #2624C22semidirect
103. #2617C22semidirect
105. #2602C22semidirect
106. #2602C22semidirect
107. #2602C22semidirect
108. #2601C22semidirect
109. #2596C22semidirect
110. #2591C22semidirect
111. #2589C22semidirect
112. #2575C22semidirect
113. #2566C22semidirect
114. #2559C22semidirect
115. #2558C22semidirect
116. #2558C22semidirect
117. #2557C22semidirect
118. #2554C22semidirect
119. #2553C22semidirect
120. #2553C22semidirect
121. #2543C22semidirect
122. #2543C22semidirect
125. #2539C22semidirect
126. #2539C22semidirect
127. #2534C22semidirect
128. #2517C22semidirect
129. #2512C22semidirect
130. #2512C22semidirect
131. #2512C22semidirect
132. #2507C22semidirect
133. #2506C22semidirect
134. #2504C22semidirect
137. #2500C22semidirect
138. #2497C22semidirect
139. #2496C22semidirect
140. #2490C22semidirect
141. #2490C22semidirect
142. #2487C22semidirect
143. #2479C22semidirect
144. #2471C22semidirect
145. #2471C22semidirect
146. #2471C22semidirect
147. #2470C22semidirect
148. #2467C22semidirect
149. #2457C22semidirect
150. #2456C22semidirect
151. #2455C22semidirect
152. #2454C22semidirect
153. #2454C22semidirect
154. #2454C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2444C22semidirect
158. #2443C22semidirect
159. #2443C22semidirect
160. #2443C22semidirect
161. #2441C22semidirect
162. #2441C22semidirect
163. #2441C22semidirect
164. #2441C22semidirect
165. #2441C22semidirect
166. #2441C22semidirect
167. #2441C22semidirect
170. #2428C22semidirect
171. #2428C22semidirect
172. #2428C22semidirect
173. #2424C22semidirect
174. #2424C22semidirect
175. #2422C22semidirect
176. #2422C22semidirect
177. #2422C22semidirect
178. #2418C22semidirect
179. #2418C22semidirect
180. #2416C22semidirect
181. #2416C22semidirect
182. #2416C22semidirect
183. #2416C22semidirect
184. #2416C22semidirect
185. #2416C22semidirect
186. #2416C22semidirect
187. #2416C22semidirect
190. #2414C22semidirect
191. #2411C22semidirect
192. #2411C22semidirect
195. #2408C22semidirect
199. #2364C22semidirect
202. #2361C22semidirect
203. #2361C22semidirect
204. #2361C22semidirect
205. #2361C22semidirect
206. #2361C22semidirect
207. #2345C22semidirect
208. #2342C22semidirect
211. D4×C22⋊C4C22semidirect
212. #2335C22semidirect
213. #2335C22semidirect
214. #2333C22semidirect
215. #2332C22semidirect
216. #2330C22semidirect
217. #2329C22semidirect
218. #2329C22semidirect
219. #2325C22semidirect
220. #2325C22semidirect
221. #2325C22semidirect
222. #2325C22semidirect
227. #2324C22semidirect
230. #2319C22semidirect
231. #2317C22semidirect
232. #2316C22semidirect
233. #2315C22semidirect
234. #2312C22semidirect
235. #2311C22semidirect
236. #2309C22semidirect
237. #2309C22semidirect
238. C4×#127C22semidirect
239. C4×#121C22semidirect
240. C4×#121C22semidirect
241. C4×#121C22semidirect
242. #2298C22semidirect
243. #2297C22semidirect
244. #2293C22semidirect
245. #2293C22semidirect
246. C2×#389C22semidirect
247. C2×#389C22semidirect
248. C2×#389C22semidirect
249. #2290C22semidirect
250. #2290C22semidirect
251. C2×#387C22semidirect
252. #2285C22semidirect
253. C2×#384C22semidirect
256. #2274C22semidirect
257. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#489102
#489092
#472362
#464022
#434912
#430222
#398062
#398052
#397422
#397382
#394342
#390662
#382602
#381232
#379702
#377062
#374392
#373352
#373312
#362632
#361822
#355912
#355382
#352522
#350012
C2×#24412
#343792
#342042
#340822