Finite Group Databasebeta

← #7681057

Subgroups — #7681057

Order 512.

6756 conjugacy classes of subgroups.

The subgroup lattice has 1578 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C22×#541C211yesmaximal, characteristic, complemented
3#59170C214yesmaximal, complemented
4#59169C214yesmaximal, complemented
5#59161C214yesmaximal, complemented
6#59154C214yesmaximal, complemented
7#44849C214yesmaximal, complemented
8#44845C214yesmaximal, complemented
9#44773C214yesmaximal, complemented
10#44765C214yesmaximal, complemented
11#39435C212yesmaximal, complemented
12#39385C211yesmaximal, characteristic, complemented
13#39373C211yesmaximal, characteristic, complemented
14#37793C212yesmaximal, complemented
15#37709C211yesmaximal, characteristic, complemented
16#37705C211yesmaximal, characteristic, complemented
17#37695C211yesmaximal, characteristic, complemented
18#37695C211yesmaximal, characteristic, complemented
19#37651C212yesmaximal
20#36131C211yesmaximal, characteristic, complemented
21#36130C212yesmaximal, complemented
22D4×C4⋊Q8C211yesmaximal, characteristic, complemented
23#35671C212yesmaximal, complemented
24#35637C212yesmaximal, complemented
25#35319C211yesmaximal, characteristic, complemented
26#35310C211yesmaximal, characteristic, complemented
27#35309C211yesmaximal, characteristic, complemented
28#34691C212yesmaximal, complemented
29#34291C212yesmaximal, complemented
30#34281C211yesmaximal, characteristic, complemented
31#34136C211yesmaximal, characteristic
32#3509—216no—
33C2×#557C2214yescomplemented
34C2×#556C2214yes—
35C2×#552C2214yes—
36C2×#552C2214yescomplemented
37C2×D4×Q8C2212yes—
38C2×#541—216no—
39C2×#541C2212yes—
40C2×#541C2214yes—
41C2×#541C2214yes—
42C2×#541C2212yes—
43C2×#541C2211yescharacteristic
44C2×#541C2211yescharacteristic
45C2×#541C2211yescharacteristic
46C2×#541C2211yescharacteristic
47C2×#541C2211yescharacteristic
48C2×#541C2211yescharacteristic, complemented
49C2×#541C2211yescharacteristic, complemented
50C2×#536C2212yes—
51C2×#533C2212yes—
52C2×#533C2211yescharacteristic, complemented
53C2×#533C2212yescomplemented
54C22×C4⋊Q8C2211yescharacteristic
55C22×C4⋊Q8C2211yescharacteristic, complemented
56C22×#126C2214yes—
57C22×#125C2214yes—
58C22×#125C2211yescharacteristic
59C2×#525C2211yescharacteristic
60C22×C22⋊Q8C2212yes—
61C2×#519C2212yescomplemented
62C2×C4×#41C2211yescharacteristic
63C22×C4×Q8C2212yes—
64C22×#117C2211yescharacteristic
65#2868C2211yescharacteristic, complemented
66#2859C2211yescharacteristic, complemented
67#2857C2212yes—
68#2857C2211yescharacteristic
69#2857C2211yescharacteristic, complemented
70#2855C2212yes—
71#2851C2211yescharacteristic
72#2851C2211yescharacteristic, complemented
73#2848C2212yes—
74#2727C2214yes—
75#2726C2214yescomplemented
76#2726C2214yescomplemented
77#2725C2214yescomplemented
78#2721C2214yes—
79#2721C2214yescomplemented
80#2719C2214yescomplemented
81#2719C2214yescomplemented
82#2716C2214yes—
83#2716C2214yescomplemented
84#2715C2214yes—
85#2713C2214yescomplemented
86#2713C2214yescomplemented
87#2713C2214yescomplemented
88#2702C2214yes—
89#2698C2214yes—
90#2695C2214yes—
91#2694C2214yescomplemented
92#2690C2214yescomplemented
93#2689C2214yes—
94#2681C2214yes—
95#2680C2214yes—
96#2677C2214yes—
97#2674C2214yes—
98#2642C2211yescharacteristic, complemented
99#2642C2211yescharacteristic, complemented
100#2629C2211yescharacteristic
101#2629C2211yescharacteristic, complemented
102#2625C2212yes—
103#2621C2212yes—
104#2621C2211yescharacteristic
105#2621C2211yescharacteristic, complemented
106#2616C2212yes—
107#2611C2214yescomplemented
108#2611C2214yescomplemented
109#2604C2214yes—
110#2604C2214yes—
111#2601C2214yes—
112#2601C2214yes—
113#2584C2214yescomplemented
114#2565C2214yescomplemented
115#2560C2214yes—
116#2558C2214yescomplemented
117#2556C2214yes—
118#2556C2214yescomplemented
119#2556C2214yescomplemented
120#2553C2214yes—
121#2552C2214yescomplemented
122#2551C2214yescomplemented
123#2550C2214yescomplemented
124#2550C2212yescomplemented
125#2549C2214yes—
126#2546C2212yescomplemented
127#2542C2212yes—
128#2536C2212yes—
129#2521C2214yes—
130#2519C2214yes—
131#2519C2214yes—
132#2519C2214yescomplemented
133#2512C2214yes—
134#2506C2214yescomplemented
135#2506C2214yescomplemented
136#2506C2214yescomplemented
137#2496C2214yes—
138#2496C2214yes—
139#2492C2212yes—
140#2489C2212yescomplemented
141#2481C2214yes—
142#2481C2214yes—
143#2481C2214yes—
144#2480C2214yes—
145#2479C2214yes—
146#2478C2214yes—
147#2478C2214yes—
148#2478C2214yes—
149#2475C2214yes—
150#2475C2214yescomplemented
151#2473C2214yes—
152#2473C2214yes—
153#2473C2214yes—
154#2473C2214yes—
155#2473C2214yescomplemented
156#2472C2214yes—
157#2469C2214yes—
158#2469C2214yes—
159#2468C2214yes—
160#2466C2214yes—
161#2465C2214yes—
162#2465C2214yescomplemented
163#2462C2214yescomplemented
164#2462C2214yescomplemented
165#2462C2214yescomplemented
166#2462C2214yescomplemented
167#2462C2214yescomplemented
168#2460C2214yescomplemented
169#2453C2214yescomplemented
170#2453C2214yescomplemented
171#2453C2212yescomplemented
172#2451C2212yescomplemented
173#2449C2214yes—
174#2449C2214yes—
175#2446C2212yescomplemented
176#2446C2212yescomplemented
177#2443C2214yes—
178#2442C2214yes—
179#2441C2212yescomplemented
180#2440C2214yes—
181#2440C2214yes—
182#2440C2212yes—
183#2440C2214yescomplemented
184#2438C2214yes—
185#2437C2214yes—
186#2434C2212yes—
187#2434C2212yescomplemented
188#2429C2212yes—
189#2429C2212yes—
190#2429C2212yescomplemented
191#2429C2212yescomplemented
192#2423C2212yes—
193#2423C2212yescomplemented
194#2418C2214yes—
195#2417C2212yes—
196#2415C2212yes—
197#2409C2212yes—
198#2409C2212yes—
199#2399C2214yescomplemented
200#2396C2214yescomplemented
201#2373C2214yes—
202#2373C2214yes—
203#2371C2214yescomplemented
204#2370C2214yescomplemented
205#2365C2214yescomplemented
206#2365C2212yescomplemented
207#2363C2212yes—
208#2362C2212yes—
209#2362C2212yescomplemented
210#2362C2214yescomplemented
211#2361C2212yes—
212#2360C2212yes—
213#2360C2214yes—
214#2360C2214yes—
215#2360C2214yes—
216#2360C2212yes—
217#2359C2212yes—
218#2359C2212yes—
219#2358C2212yes—
220#2358C2212yes—
221#2352C2212yes—
222#2352C2214yes—
223#2351C2212yescomplemented
224D4×C4⋊C4C2214yes—
225#2342C2214yes—
226Q8×C22⋊C4C2212yes—
227Q8×C22⋊C4C2212yescomplemented
228#2330C2211yescharacteristic, complemented
229#2327C2214yescomplemented
230#2327C2212yescomplemented
231#2327C2211yescharacteristic, complemented
232#2323C2212yes—
233#2323C2212yes—
234#2323C2214yescomplemented
235#2323C2212yescomplemented
236#2314C2211yescharacteristic
237C4×C4⋊Q8C2211yescharacteristic, complemented
238C4×C4⋊Q8C2212yescomplemented
239C4×#125C2211yescharacteristic, complemented
240C4×C22⋊Q8C2212yes—
241C4×C22⋊Q8C2214yes—
242C4×C22⋊Q8C2214yes—
243C4×C22⋊Q8C2212yes—
244C4×C22⋊Q8C2212yescomplemented
245#2297C2211yescharacteristic
246#2296C2211yescharacteristic
247#2295C2212yescomplemented
248#2293C2211yescharacteristic
249#2293C2211yescharacteristic
250#2290C2214yes—
251#2290C2214yes—
252#2290C2211yescharacteristic
253#2290C2211yescharacteristic
254#2290C2211yescharacteristic
255#2290C2211yescharacteristic
256#2276C2212yescomplemented
257C42×D4C2211yescharacteristic
258C42×D4C2211yescharacteristic
259C4×#117C2211yescharacteristic
260C2×C4×C22⋊C4C2211yescharacteristic
261C22×#41C2311yescharacteristic
262C23×Q8C2312yes—
263C23×Q8C2312yes—
264C24×C4C2311yescharacteristic
265#557—232no—
266#556—232no—
267#552—232no—
268#552—232no—
269D4×Q8—216no—
270#541—28no—
271#541—28no—
272#541—232no—
273#541—232no—
274#541—28no—
275#541—28no—
276#541—216no—
277#541—216no—
278#541—28no—
279#541—28no—
280#541D4116yescomplemented
281#536—216no—
282#533—28no—
283#533—216no—
284#533—216no—
285C2×C4⋊Q8—28no—
286C2×C4⋊Q8—28no—
287C2×C4⋊Q8C2312yes—
288C2×C4⋊Q8C2314yes—
289C2×C4⋊Q8C2311yescharacteristic
290C2×C4⋊Q8C2311yescharacteristic
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2314yes—
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2314yes—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2314yes—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2311yescharacteristic
299C2×#126—232no—
300C2×#126C2314yes—
301C2×#126C2314yes—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125—28no—
312C2×#125—232no—
313C2×#125C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2314yes—
331C2×#124C2314yes—
332#525—28no—
333C2×#123C2311yescharacteristic
334C2×#123C2311yescharacteristic
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8—216no—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#120C2311yescharacteristic
362C2×#120C2311yescharacteristic
363#519—216no—
364C4×#41—28no—
365C2×C4×Q8—216no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2314yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2314yes—
377C2×C4×Q8C2314yes—
378C2×C4×Q8C2314yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2314yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×#117—28no—
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2314yes—
398C2×#117C2314yes—
399C2×#117C2314yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2314yes—
414C22×C4⋊C4C2314yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2314yes—
417C22×C22⋊C4C2312yes—
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2314yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2314yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#390C2314yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2312yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#386C2312yes—
625#386C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2312yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2312yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2314yes—
660#384C2314yes—
661#384C2314yes—
662#382C2311yescharacteristic
663#382C2314yes—
664#382C2312yes—
665#382C2314yes—
666#381C2314yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2312yes—
672#380C2314yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2312yes—
678#380C2314yes—
679#379C2314yes—
680C4×C4⋊C4C2314yes—
681C4×C4⋊C4C2312yes—
682C4×C4⋊C4C2314yes—
683C4×C4⋊C4C2314yes—
684C4×C4⋊C4C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2314yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2314yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2311yescharacteristic
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2314yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2311yescharacteristic
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2311yescharacteristic
707C4×C22⋊C4C2314yes—
708C4×C22⋊C4C2311yescharacteristic
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2311yescharacteristic
723C4×C22⋊C4C2311yescharacteristic
724C4×C22⋊C4C2311yescharacteristic
725C4×C22⋊C4C2311yescharacteristic
726C4×C22⋊C4C2311yescharacteristic
727C4×C22⋊C4C2311yescharacteristic
728#376C2311yescharacteristic
729#376C2311yescharacteristic
730#376C2314yes—
731#376C2314yes—
732C2×#95C2312yes—
733C43C2311yescharacteristic
734C43C2311yescharacteristic
735C25C2411yescharacteristic
736C2×#41—24no—
737C2×#41—24no—
738C2×#41—42no—
739C22×Q8—28no—
740C22×Q8—28no—
741C22×Q8—28no—
742C22×Q8—28no—
743C22×Q8—44no—
744C22×Q8—44no—
745C22×Q8C2412yes—
746C22×Q8C2412yes—
747C22×Q8C2414yes—
748C22×Q8C2414yes—
749C22×Q8C2411yescharacteristic
750C22×Q8C2414yes—
751C22×Q8C2412yes—
752C22×D4C2411yescharacteristic
753C22×D4C2411yescharacteristic
754C22×D4C2411yescharacteristic
755C22×D4C2411yescharacteristic
756C22×D4C2411yescharacteristic
757C22×D4C2411yescharacteristic
758C22×D4C2411yescharacteristic
759C23×C4—24no—
760C23×C4—24no—
761C23×C4—42no—
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2412yes—
765C23×C4C2414yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2414yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C4⋊Q8—28no—
780C4⋊Q8—28no—
781C4⋊Q8—216no—
782C4⋊Q8—216no—
783C4⋊Q8—28no—
784C4⋊Q8—216no—
785C4⋊Q8—216no—
786C4⋊Q8—24no—
787C4⋊Q8—24no—
788C4⋊Q8—28no—
789C4⋊Q8—44no—
790C4⋊Q8C2×D418yes—
791#126—216no—
792#126—216no—
793#126—216no—
794#126—216no—
795#126—216no—
796#126—216no—
797#126—216no—
798#126—216no—
799#126—216no—
800#126—216no—
801#126C2×D4132yes—
802#125—216no—
803#125—28no—
804#125—216no—
805#125—216no—
806#125—216no—
807#125—216no—
808#125—216no—
809#125—216no—
810#125—216no—
811#125—216no—
812#125—216no—
813#125—216no—
814#125—216no—
815#125—24no—
816#125—216no—
817#125—24no—
818#125C2×D418yes—
819#125C2×D4132yes—
820#124—216no—
821#123—216no—
822#123—24no—
823#123—216no—
824#123—24no—
825C22⋊Q8—28no—
826C22⋊Q8—28no—
827C22⋊Q8—28no—
828C22⋊Q8—28no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—216no—
832C22⋊Q8—28no—
833C22⋊Q8—28no—
834C22⋊Q8—216no—
835C22⋊Q8—216no—
836C22⋊Q8—24no—
837C22⋊Q8—216no—
838C22⋊Q8—216no—
839C22⋊Q8—24no—
840C22⋊Q8—216no—
841C22⋊Q8—216no—
842C22⋊Q8—216no—
843C22⋊Q8—44no—
844C22⋊Q8—44no—
845C22⋊Q8C2×D4116yes—
846#121—24no—
847#121—24no—
848#120—24no—
849#120—24no—
850C4×Q8—28no—
851C4×Q8—28no—
852C4×Q8—216no—
853C4×Q8—28no—
854C4×Q8—28no—
855C4×Q8—28no—
856C4×Q8—216no—
857C4×Q8—216no—
858C4×Q8—216no—
859C4×Q8—216no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—216no—
863C4×Q8—216no—
864C4×Q8—28no—
865C4×Q8—44no—
866C4×Q8C2×D4116yes—
867C4×D4—216no—
868C4×D4—24no—
869C4×D4—24no—
870C4×D4—28no—
871C4×D4—28no—
872C4×D4—28no—
873C4×D4—28no—
874C4×D4—28no—
875C4×D4—24no—
876C4×D4#4118yes—
877#117—24no—
878#117—28no—
879#117—28no—
880#117—216no—
881#117—28no—
882#117—216no—
883#117—24no—
884#117—24no—
885#117—24no—
886#117—24no—
887#117—216no—
888#117—216no—
889#117—24no—
890#117C2×D418yes—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—28no—
893C2×C4⋊C4—216no—
894C2×C4⋊C4—216no—
895C2×C4⋊C4—216no—
896C2×C4⋊C4—216no—
897C2×C4⋊C4—216no—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C22⋊C4—28no—
967C2×C22⋊C4—216no—
968C2×C22⋊C4—28no—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2411yescharacteristic
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2412yes—
1010C2×C42—24no—
1011C2×C42—24no—
1012C2×C42—24no—
1013C2×C42—216no—
1014C2×C42—24no—
1015C2×C42—24no—
1016C2×C42—42no—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2414yes—
1022C2×C42C2414yes—
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2414yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2411yescharacteristic
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103C24—22no—
1104C24—22no—
1105C24—24no—
1106C24—41no—
1107C24—42no—
1108C24C2511yescharacteristic
1109C24C2511yescharacteristic
1110C24C2511yescharacteristic
1111C24C2511yescharacteristic
1112C24C2511yescharacteristic
1113#41—416no—
1114C2×Q8—28no—
1115C2×Q8—28no—
1116C2×Q8—24no—
1117C2×Q8—24no—
1118C2×Q8—28no—
1119C2×Q8—22no—
1120C2×Q8—24no—
1121C2×Q8—22no—
1122C2×Q8—28no—
1123C2×Q8—28no—
1124C2×Q8—24no—
1125C2×Q8—24no—
1126C2×Q8—28no—
1127C2×Q8—24no—
1128C2×Q8—24no—
1129C2×Q8—24no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—41no—
1134C2×Q8—432no—
1135C2×Q8—432no—
1136C2×Q8C22×D418yes—
1137C2×D4—24no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—24no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4C2×#4114yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—28no—
1163C22×C4—28no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—28no—
1168C22×C4—24no—
1169C22×C4—28no—
1170C22×C4—24no—
1171C22×C4—28no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—28no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—416no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4C22×D414yes—
1204C22×C4C2×#4114yes—
1205C22×C4C2×#4114yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2514yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2512yes—
1223C22×C4C2514yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—28no—
1237C4⋊C4—28no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4C22×D4116yes—
1294C4⋊C4C22×D418yes—
1295C4⋊C4C22×D418yes—
1296C4⋊C4C22×D4116yes—
1297C4⋊C4C22×D4116yes—
1298C4⋊C4C22×D4116yes—
1299C4⋊C4C2×#4114yes—
1300C22⋊C4—24no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—28no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4C22×D418yes—
1337C22⋊C4C22×D4116yes—
1338C22⋊C4C2×#4114yes—
1339C22⋊C4C2×#4114yes—
1340C22⋊C42−1+418yes—
1341C42—22no—
1342C42—24no—
1343C42—22no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—24no—
1348C42—24no—
1349C42—24no—
1350C42—28no—
1351C42—28no—
1352C42—28no—
1353C42—28no—
1354C42—28no—
1355C42—28no—
1356C42—28no—
1357C42—22no—
1358C42—28no—
1359C42—24no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—42no—
1364C42—42no—
1365C42—44no—
1366C42—42no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42C22×D414yes—
1371C42C22×D414yes—
1372C42C22×D4116yes—
1373C42C2×#4114yes—
1374C23—21no—
1375C23—21no—
1376C23—22no—
1377C23—21no—
1378C23—21no—
1379C23—22no—
1380C23—22no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—22no—
1390C23—22no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—44no—
1396C23—48no—
1397C23—44no—
1398C23—82no—
1399C23—84no—
1400C23C23×D412yes—
1401C23C22×#4112yes—
1402C23C22×#4112yes—
1403C23C2×2−1+414yes—
1404C23C2611yescharacteristic
1405Q8—216no—
1406Q8—416no—
1407Q8—416no—
1408Q8—416no—
1409Q8—44no—
1410Q8—48no—
1411Q8—48no—
1412D4—28no—
1413D4—44no—
1414D4—44no—
1415D4—44no—
1416D4—44no—
1417D4—82no—
1418D4—82no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—24no—
1423C2×C4—21no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—28no—
1440C2×C4—28no—
1441C2×C4—28no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—22no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—48no—
1483C2×C4—48no—
1484C2×C4—44no—
1485C2×C4—48no—
1486C2×C4—48no—
1487C2×C4—48no—
1488C2×C4—416no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—416no—
1492C2×C4—416no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—84no—
1496C2×C4C23×D414yes—
1497C2×C4C23×D418yes—
1498C2×C4C23×D414yes—
1499C2×C4C23×D418yes—
1500C2×C4C23×D412yes—
1501C2×C4C23×D412yes—
1502C2×C4C22×#4112yes—
1503C2×C4C22×#4112yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C2×2−1+414yes—
1508C2×C4C2×2−1+414yes—
1509C2×C4#58512yes—
1510C22—24no—
1511C22—22no—
1512C22—24no—
1513C22—22no—
1514C22—24no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—42no—
1520C22—41no—
1521C22—41no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—42no—
1531C22—42no—
1532C22—41no—
1533C22—41no—
1534C22—88no—
1535C22#350914yescomplemented
1536C22C24×D411yescharacteristic
1537C22C23×#4111yescharacteristic
1538C22C22×2−1+412yes—
1539C22C2×#58511yescharacteristic
1540C222−1+612yes—
1541C4—24no—
1542C4—24no—
1543C4—24no—
1544C4—28no—
1545C4—22no—
1546C4—22no—
1547C4—24no—
1548C4—22no—
1549C4—22no—
1550C4—22no—
1551C4—28no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—44no—
1556C4—44no—
1557C4—41no—
1558C4—44no—
1559C4—41no—
1560C4—44no—
1561C4—42no—
1562C4—41no—
1563C4—41no—
1564C4—44no—
1565C4—44no—
1566C4D4×#4114yes—
1567C2—24no—
1568C2—42no—
1569C2—42no—
1570C2—81no—
1571C2—81no—
1572C2C2×D4×#4111yescharacteristic
1573C2C2×#350911yescharacteristic
1574C2#6286111yescharacteristic
1575C2#6295012yes—
1576C2D4×2−1+412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3509C2semidirect
2. C22×#541C2semidirect
3. #59170C2semidirect
4. #59169C2semidirect
5. #59161C2semidirect
6. #59154C2semidirect
7. #44849C2semidirect
8. #44845C2semidirect
9. #44773C2semidirect
10. #44765C2semidirect
11. #39435C2semidirect
12. #39385C2semidirect
13. #39373C2semidirect
14. #37793C2semidirect
15. #37709C2semidirect
16. #37705C2semidirect
17. #37695C2semidirect
18. #37695C2semidirect
20. #36131C2semidirect
21. #36130C2semidirect
22. D4×C4⋊Q8C2semidirect
23. #35671C2semidirect
24. #35637C2semidirect
25. #35319C2semidirect
26. #35310C2semidirect
27. #35309C2semidirect
28. #34691C2semidirect
29. #34291C2semidirect
30. #34281C2semidirect
33. C2×#557C22semidirect
36. C2×#552C22semidirect
48. C2×#541C22semidirect
49. C2×#541C22semidirect
52. C2×#533C22semidirect
53. C2×#533C22semidirect
55. C22×C4⋊Q8C22semidirect
61. C2×#519C22semidirect
65. #2868C22semidirect
66. #2859C22semidirect
69. #2857C22semidirect
72. #2851C22semidirect
75. #2726C22semidirect
76. #2726C22semidirect
77. #2725C22semidirect
79. #2721C22semidirect
80. #2719C22semidirect
81. #2719C22semidirect
83. #2716C22semidirect
85. #2713C22semidirect
86. #2713C22semidirect
87. #2713C22semidirect
91. #2694C22semidirect
92. #2690C22semidirect
98. #2642C22semidirect
99. #2642C22semidirect
101. #2629C22semidirect
105. #2621C22semidirect
107. #2611C22semidirect
108. #2611C22semidirect
113. #2584C22semidirect
114. #2565C22semidirect
116. #2558C22semidirect
118. #2556C22semidirect
119. #2556C22semidirect
121. #2552C22semidirect
122. #2551C22semidirect
123. #2550C22semidirect
124. #2550C22semidirect
126. #2546C22semidirect
132. #2519C22semidirect
134. #2506C22semidirect
135. #2506C22semidirect
136. #2506C22semidirect
140. #2489C22semidirect
150. #2475C22semidirect
155. #2473C22semidirect
162. #2465C22semidirect
163. #2462C22semidirect
164. #2462C22semidirect
165. #2462C22semidirect
166. #2462C22semidirect
167. #2462C22semidirect
168. #2460C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
171. #2453C22semidirect
172. #2451C22semidirect
175. #2446C22semidirect
176. #2446C22semidirect
179. #2441C22semidirect
183. #2440C22semidirect
187. #2434C22semidirect
190. #2429C22semidirect
191. #2429C22semidirect
193. #2423C22semidirect
199. #2399C22semidirect
200. #2396C22semidirect
203. #2371C22semidirect
204. #2370C22semidirect
205. #2365C22semidirect
206. #2365C22semidirect
209. #2362C22semidirect
210. #2362C22semidirect
223. #2351C22semidirect
227. Q8×C22⋊C4C22semidirect
228. #2330C22semidirect
229. #2327C22semidirect
230. #2327C22semidirect
231. #2327C22semidirect
234. #2323C22semidirect
235. #2323C22semidirect
237. C4×C4⋊Q8C22semidirect
238. C4×C4⋊Q8C22semidirect
239. C4×#125C22semidirect
244. C4×C22⋊Q8C22semidirect
247. #2295C22semidirect
256. #2276C22semidirect
280. #541D4semidirect
1535. C22#3509semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C22×#5412
#591702
#591692
#591612
#591542
#448492
#448452
#447732
#447652
#394352
#393852
#393732
#377932
#377092
#377052
#376952
#376512
#361312
#361302
D4×C4⋊Q82
#356712
#356372
#353192
#353102
#353092
#346912
#342912
#342812
#341362