Finite Group Databasebeta

← #7645038

Subgroups — #7645038

Order 512.

6970 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3492C211yesmaximal, characteristic, complemented
2C22×#539C211yesmaximal, characteristic, complemented
3#41379C214yesmaximal, complemented
4#41377C214yesmaximal, complemented
5#40499C214yesmaximal, complemented
6#40497C214yesmaximal, complemented
7#39717C212yesmaximal, complemented
8#39716C212yesmaximal, complemented
9#39589C212yesmaximal, complemented
10#39588C212yesmaximal, complemented
11#39129C212yesmaximal, complemented
12#39128C212yesmaximal, complemented
13#39117C212yesmaximal, complemented
14#39116C212yesmaximal, complemented
15#37452C212yesmaximal, complemented
16#37442C211yesmaximal, characteristic, complemented
17#37439C211yesmaximal, characteristic, complemented
18#37130C214yesmaximal, complemented
19#36742C212yesmaximal, complemented
20#36741C212yesmaximal, complemented
21#35366C214yesmaximal, complemented
22#35085C211yesmaximal, characteristic, complemented
23#35078C211yesmaximal, characteristic, complemented
24#35077C212yesmaximal, complemented
25#35064C212yesmaximal, complemented
26#35006C212yesmaximal, complemented
27#35004C212yesmaximal, complemented
28#34957C212yesmaximal, complemented
29C2×#2345C211yesmaximal, characteristic, complemented
30#3492—216no—
31C2×#554C2212yes—
32C2×#554C2212yes—
33C2×#553C2212yes—
34C2×#553C2212yes—
35C2×#552C2212yescomplemented
36C2×#552C2212yescomplemented
37C2×#547C2212yescomplemented
38C2×#547C2212yescomplemented
39C2×#544C2211yescharacteristic, complemented
40C2×#539—216no—
41C2×#539C2212yes—
42C2×#539C2212yes—
43C2×#539C2214yes—
44C2×#539C2214yes—
45C2×#539C2212yes—
46C2×#539C2212yes—
47C2×#539C2212yescomplemented
48C2×#539C2211yescharacteristic, complemented
49C2×#539C2211yescharacteristic, complemented
50C2×#537C2211yescharacteristic, complemented
51C22×#126C2212yes—
52C22×#125C2212yes—
53C2×#525C2212yes—
54C2×#525C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C2×#525C2212yes—
57C22×#123C2212yes—
58C22×#123C2212yes—
59C22×C22⋊Q8C2211yescharacteristic
60C22×C22⋊Q8C2212yes—
61C22×#121C2211yescharacteristic
62C2×#520C2212yescomplemented
63C22×C4×D4C2212yes—
64C23×C4⋊C4C2211yescharacteristic
65#2857C2212yescomplemented
66#2856C2212yes—
67#2855C2212yes—
68#2854C2212yes—
69#2854C2214yescomplemented
70#2854C2214yescomplemented
71#2850C2212yes—
72#2850C2212yescomplemented
73#2848C2212yes—
74#2847C2212yes—
75#2814C2214yescomplemented
76#2814C2214yescomplemented
77#2813C2214yes—
78#2813C2214yescomplemented
79#2727C2214yescomplemented
80#2726C2214yescomplemented
81#2725C2214yescomplemented
82#2725C2214yescomplemented
83#2723C2214yescomplemented
84#2721C2214yescomplemented
85#2720C2214yescomplemented
86#2719C2214yescomplemented
87#2716C2214yescomplemented
88#2714C2214yescomplemented
89#2713C2214yescomplemented
90#2711C2214yescomplemented
91#2707C2214yescomplemented
92#2707C2214yescomplemented
93#2705C2214yescomplemented
94#2705C2214yescomplemented
95#2704C2214yescomplemented
96#2704C2214yescomplemented
97#2702C2214yescomplemented
98#2702C2214yescomplemented
99#2696C2214yescomplemented
100#2694C2214yescomplemented
101#2692C2214yescomplemented
102#2690C2214yescomplemented
103#2683C2214yescomplemented
104#2682C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2677C2214yescomplemented
108#2676C2214yescomplemented
109#2674C2214yescomplemented
110#2673C2214yescomplemented
111#2663C2214yescomplemented
112#2663C2214yescomplemented
113#2661C2214yes—
114#2661C2214yescomplemented
115#2659C2212yescomplemented
116#2656C2212yes—
117#2639C2212yes—
118#2639C2212yescomplemented
119#2630C2214yescomplemented
120#2630C2214yescomplemented
121#2630C2214yescomplemented
122#2630C2214yescomplemented
123#2627C2212yes—
124#2627C2212yes—
125#2626C2212yes—
126#2626C2212yes—
127#2625C2212yescomplemented
128#2624C2212yes—
129#2618C2212yes—
130#2618C2212yes—
131#2618C2214yescomplemented
132#2618C2214yescomplemented
133#2617C2212yes—
134#2617C2212yes—
135#2616C2212yescomplemented
136#2615C2212yes—
137#2602C2214yescomplemented
138#2602C2214yescomplemented
139#2602C2214yescomplemented
140#2602C2214yescomplemented
141#2591C2212yes—
142#2591C2212yes—
143#2583C2212yes—
144#2583C2212yes—
145#2579C2212yes—
146#2579C2212yes—
147#2579C2212yes—
148#2579C2212yes—
149#2564C2214yescomplemented
150#2564C2214yescomplemented
151#2561C2212yes—
152#2561C2212yes—
153#2560C2214yescomplemented
154#2560C2214yescomplemented
155#2558C2214yescomplemented
156#2558C2214yescomplemented
157#2556C2214yescomplemented
158#2556C2214yescomplemented
159#2554C2214yescomplemented
160#2554C2214yescomplemented
161#2543C2214yes—
162#2543C2214yescomplemented
163#2539C2212yes—
164#2539C2212yes—
165#2534C2212yes—
166#2534C2212yes—
167#2534C2212yes—
168#2534C2212yes—
169#2519C2214yescomplemented
170#2519C2214yescomplemented
171#2512C2214yescomplemented
172#2506C2214yescomplemented
173#2504C2211yescharacteristic
174#2503C2211yescharacteristic
175#2502C2211yescharacteristic
176#2501C2211yescharacteristic
177#2500C2212yes—
178#2499C2212yescomplemented
179#2498C2214yescomplemented
180#2498C2214yescomplemented
181#2487C2212yes—
182#2486C2212yes—
183#2485C2214yescomplemented
184#2481C2214yescomplemented
185#2479C2214yescomplemented
186#2477C2214yescomplemented
187#2475C2214yescomplemented
188#2473C2214yescomplemented
189#2471C2214yescomplemented
190#2469C2214yescomplemented
191#2467C2214yescomplemented
192#2465C2214yescomplemented
193#2463C2214yescomplemented
194#2462C2214yescomplemented
195#2461C2214yescomplemented
196#2461C2214yescomplemented
197#2460C2214yescomplemented
198#2458C2214yescomplemented
199#2456C2214yescomplemented
200#2452C2214yescomplemented
201#2449C2214yescomplemented
202#2445C2214yescomplemented
203#2443C2214yescomplemented
204#2436C2211yescharacteristic
205#2435C2211yescharacteristic
206#2434C2211yescharacteristic
207#2433C2211yescharacteristic
208#2432C2212yescomplemented
209#2431C2212yes—
210#2430C2214yescomplemented
211#2430C2214yescomplemented
212#2417C2214yescomplemented
213#2417C2214yescomplemented
214#2416C2214yes—
215#2416C2214yescomplemented
216#2412C2212yes—
217#2412C2212yes—
218#2412C2212yes—
219#2412C2212yes—
220#2410C2212yes—
221#2410C2212yes—
222#2410C2212yes—
223#2410C2212yes—
224#2409C2212yes—
225#2408C2212yes—
226#2407C2214yescomplemented
227#2395C2214yescomplemented
228#2388C2214yescomplemented
229#2345C2212yes—
230#2345C2212yes—
231#2345C2212yes—
232#2345C2212yes—
233#2345C2214yescomplemented
234#2345C2214yescomplemented
235#2325C2214yescomplemented
236#2325C2214yescomplemented
237#2322C2212yes—
238#2322C2212yes—
239#2322C2212yes—
240#2322C2212yes—
241#2321C2212yes—
242#2321C2212yes—
243#2321C2212yes—
244#2321C2212yes—
245C4×#123C2212yes—
246C4×#123C2212yes—
247C4×#121C2214yescomplemented
248C4×#121C2214yescomplemented
249C4×#120C2212yes—
250C4×#120C2212yes—
251C2×#389C2212yescomplemented
252C2×#387C2212yescomplemented
253C2×#387C2212yescomplemented
254C2×#380C2211yescharacteristic
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic
257C2×C4×C4⋊C4C2212yescomplemented
258C2×C4×C22⋊C4C2211yescharacteristic
259C2×C4×C22⋊C4C2211yescharacteristic
260C2×C4×C22⋊C4C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2311yescharacteristic
264C22×#41C2312yes—
265C23×Q8C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2311yescharacteristic
268C24×C4C2312yes—
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272#554—216no—
273#554—216no—
274#553—216no—
275#553—216no—
276#552—216no—
277#552—216no—
278#547—216no—
279#547—216no—
280#544—28no—
281#539—216no—
282#539—216no—
283#539—216no—
284#539—216no—
285#539—232no—
286#539—232no—
287#539—216no—
288#539—28no—
289#539—28no—
290#537—28no—
291C2×C4⋊Q8C2312yes—
292C2×C4⋊Q8C2312yes—
293C2×C4⋊Q8C2312yes—
294C2×#127C2312yes—
295C2×#126—216no—
296C2×#126C2312yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#126C2314yes—
300C2×#126C2314yes—
301C2×#126C2312yes—
302C2×#126C2312yes—
303C2×#126C2312yes—
304C2×#125—216no—
305C2×#125C2314yes—
306C2×#125C2314yes—
307C2×#125C2314yes—
308C2×#125C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317#525—216no—
318#525—216no—
319#525—28no—
320#525—28no—
321C2×#123—216no—
322C2×#123—216no—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×C22⋊Q8—28no—
346C2×C22⋊Q8—216no—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2314yes—
371C2×#121—28no—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#120C2312yes—
393C2×#120C2312yes—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398#520—216no—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×D4—216no—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C22×C4⋊C4D4116yescomplemented
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C22⋊C4C2312yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C42C2312yes—
458C22×C42C2312yes—
459C22×C42C2312yes—
460C22×C42C2312yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2314yes—
562#391C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#385C2312yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#384C2312yes—
690#384C2312yes—
691#382C2312yes—
692#382C2312yes—
693#381C2312yes—
694#381C2312yes—
695#381C2312yes—
696#381C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2312yes—
704#380C2314yes—
705#380C2314yes—
706#380C2314yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#379C2312yes—
716#379C2312yes—
717#379C2312yes—
718#379C2312yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2311yescharacteristic
730C4×C22⋊C4C2311yescharacteristic
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2311yescharacteristic
733C4×C22⋊C4C2311yescharacteristic
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C2×#95C2312yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C25C2411yescharacteristic
748C25C2412yes—
749C2×#41—28no—
750C2×#41—28no—
751C2×#41—24no—
752C2×#41—24no—
753C2×#41—48no—
754C2×#41—84no—
755C2×#41—82no—
756C2×#41—82no—
757C22×Q8—24no—
758C22×Q8—82no—
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2412yes—
763C22×Q8C2411yescharacteristic
764C22×Q8C2411yescharacteristic
765C22×D4—28no—
766C22×D4—24no—
767C22×D4—48no—
768C22×D4—82no—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2411yescharacteristic
782C22×D4C2411yescharacteristic
783C22×D4C2412yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C23×C4—28no—
788C23×C4—44no—
789C23×C4—82no—
790C23×C4—82no—
791C23×C4—84no—
792C23×C4C2×D418yes—
793C23×C4C2×D418yes—
794C23×C4C2×D418yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2412yes—
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2414yes—
811C23×C4C2414yes—
812C23×C4C2412yes—
813C23×C4C2411yescharacteristic
814C23×C4C2412yes—
815C23×C4C2411yescharacteristic
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C4⋊Q8—28no—
825C4⋊Q8—28no—
826C4⋊Q8—82no—
827#127—82no—
828#126—216no—
829#126—216no—
830#126—216no—
831#126—216no—
832#126—28no—
833#126—28no—
834#126—28no—
835#126—28no—
836#125—216no—
837#125—216no—
838#125—216no—
839#125—216no—
840#125—28no—
841#125—28no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—28no—
846#124—82no—
847#124—82no—
848#123—216no—
849#123—216no—
850#123—216no—
851#123—216no—
852#123—28no—
853#123—28no—
854#123—28no—
855#123—28no—
856#123—28no—
857#123—28no—
858#123—216no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—28no—
863#123—28no—
864#123—28no—
865#123—28no—
866#123—28no—
867#123—44no—
868#123—44no—
869#123—44no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—24no—
881C22⋊Q8—24no—
882C22⋊Q8—216no—
883C22⋊Q8—216no—
884C22⋊Q8—216no—
885C22⋊Q8—216no—
886C22⋊Q8—28no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—84no—
893C22⋊Q8—84no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—28no—
902#121—28no—
903#121—24no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—84no—
913#121—84no—
914#120—28no—
915#120—28no—
916#120—28no—
917#120—44no—
918#120—44no—
919#120—44no—
920C4×Q8—28no—
921C4×Q8—28no—
922C4×D4—216no—
923C4×D4—216no—
924C4×D4—216no—
925C4×D4—216no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—84no—
941C4×D4—84no—
942#117—28no—
943#117—28no—
944#117—24no—
945#117—24no—
946#117—28no—
947#117—28no—
948C2×C4⋊C4—28no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—28no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—28no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—82no—
958C2×C4⋊C4—82no—
959C2×C4⋊C4C2×D418yes—
960C2×C4⋊C4C2×D4116yes—
961C2×C4⋊C4C2×D4116yes—
962C2×C4⋊C4C2×D418yes—
963C2×C4⋊C4C2×D418yes—
964C2×C4⋊C4C2×D418yes—
965C2×C4⋊C4C2×D4116yes—
966C2×C4⋊C4C2×D4116yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C22⋊C4—28no—
1026C2×C22⋊C4—28no—
1027C2×C22⋊C4—28no—
1028C2×C22⋊C4—28no—
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—42no—
1032C2×C22⋊C4—42no—
1033C2×C22⋊C4—42no—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C42—28no—
1097C2×C42—44no—
1098C2×C42—82no—
1099C2×C42—82no—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154C24—22no—
1155C24—22no—
1156C24—24no—
1157C24—24no—
1158C24—24no—
1159C24—24no—
1160C24—42no—
1161C24—44no—
1162C24—44no—
1163C24C22×D414yes—
1164C24C2514yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C24C2511yescharacteristic
1169C24C2511yescharacteristic
1170#41—432no—
1171#41—816no—
1172#41—88no—
1173#41—88no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—44no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—88no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—432no—
1234C2×D4—88no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—28no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—416no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—88no—
1288C22×C4—88no—
1289C22×C4—816no—
1290C22×C4C22×D414yes—
1291C22×C4C22×D414yes—
1292C22×C4C22×D418yes—
1293C22×C4C22×D418yes—
1294C22×C4C22×D414yes—
1295C22×C4C22×D414yes—
1296C22×C4C22×D418yes—
1297C22×C4C22×D414yes—
1298C22×C4C22×D414yes—
1299C22×C4C22×D414yes—
1300C22×C4C22×D414yes—
1301C22×C4C22×D414yes—
1302C22×C4C22×D418yes—
1303C22×C4C22×D414yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4C22×D418yes—
1378C4⋊C4C22×D418yes—
1379C4⋊C4C22×D418yes—
1380C4⋊C4C22×D418yes—
1381C4⋊C4C22×D418yes—
1382C4⋊C4C22×D418yes—
1383C4⋊C4C22×D418yes—
1384C4⋊C4C22×D418yes—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C42−1+414yes—
1447C42—28no—
1448C42—28no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—44no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C42—42no—
1460C42—42no—
1461C42—42no—
1462C42—42no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—22no—
1472C23—28no—
1473C23—28no—
1474C23—24no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—22no—
1480C23—22no—
1481C23—24no—
1482C23—24no—
1483C23—24no—
1484C23—22no—
1485C23—24no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—24no—
1490C23—24no—
1491C23—44no—
1492C23—48no—
1493C23—48no—
1494C23—48no—
1495C23—48no—
1496C23—48no—
1497C23—88no—
1498C23—88no—
1499C23C23×D412yes—
1500C23C23×D412yes—
1501C23C23×D412yes—
1502C23C2×2−1+412yes—
1503C23#58514yes—
1504C23#58512yes—
1505C23C2611yescharacteristic
1506Q8—48no—
1507Q8—84no—
1508Q8—84no—
1509Q8—84no—
1510Q8—82no—
1511Q8—82no—
1512D4—48no—
1513D4—416no—
1514D4—48no—
1515D4—48no—
1516D4—416no—
1517D4—48no—
1518D4—48no—
1519D4—48no—
1520D4—48no—
1521D4—88no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—82no—
1526D4—82no—
1527D4—88no—
1528D4—164no—
1529D4—164no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4C23×D414yes—
1608C2×C4C23×D412yes—
1609C2×C4C23×D414yes—
1610C2×C4C23×D414yes—
1611C2×C4C23×D412yes—
1612C2×C4C23×D414yes—
1613C2×C4C23×D412yes—
1614C2×C4C23×D412yes—
1615C2×C4C2×2−1+414yes—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—24no—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—416no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—44no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—42no—
1638C22—44no—
1639C22—44no—
1640C22—44no—
1641C22—44no—
1642C22—44no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—44no—
1647C22—816no—
1648C22#344914yes—
1649C22#349714yes—
1650C22C24×D411yescharacteristic
1651C22C22×2−1+411yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58512yes—
1654C22H(7,𝔽2)12yes—
1655C4—24no—
1656C4—22no—
1657C4—24no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—24no—
1662C4—24no—
1663C4—24no—
1664C4—44no—
1665C4—42no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—44no—
1676C4—44no—
1677C4—42no—
1678C2—24no—
1679C2—24no—
1680C2—42no—
1681C2—82no—
1682C2—82no—
1683C2—84no—
1684C2C2×#344911yescharacteristic
1685C2C2×#349711yescharacteristic
1686C2#6284211yescharacteristic
1687C2#6294812yes—
1688C2#6296312yes—
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. C2×#3492C2semidirect
2. C22×#539C2semidirect
3. #41379C2semidirect
4. #41377C2semidirect
5. #40499C2semidirect
6. #40497C2semidirect
7. #39717C2semidirect
8. #39716C2semidirect
9. #39589C2semidirect
10. #39588C2semidirect
11. #39129C2semidirect
12. #39128C2semidirect
13. #39117C2semidirect
14. #39116C2semidirect
15. #37452C2semidirect
16. #37442C2semidirect
17. #37439C2semidirect
18. #37130C2semidirect
19. #36742C2semidirect
20. #36741C2semidirect
21. #35366C2semidirect
22. #35085C2semidirect
23. #35078C2semidirect
24. #35077C2semidirect
25. #35064C2semidirect
26. #35006C2semidirect
27. #35004C2semidirect
28. #34957C2semidirect
29. C2×#2345C2semidirect
35. C2×#552C22semidirect
36. C2×#552C22semidirect
37. C2×#547C22semidirect
38. C2×#547C22semidirect
39. C2×#544C22semidirect
47. C2×#539C22semidirect
48. C2×#539C22semidirect
49. C2×#539C22semidirect
50. C2×#537C22semidirect
62. C2×#520C22semidirect
65. #2857C22semidirect
69. #2854C22semidirect
70. #2854C22semidirect
72. #2850C22semidirect
75. #2814C22semidirect
76. #2814C22semidirect
78. #2813C22semidirect
79. #2727C22semidirect
80. #2726C22semidirect
81. #2725C22semidirect
82. #2725C22semidirect
83. #2723C22semidirect
84. #2721C22semidirect
85. #2720C22semidirect
86. #2719C22semidirect
87. #2716C22semidirect
88. #2714C22semidirect
89. #2713C22semidirect
90. #2711C22semidirect
91. #2707C22semidirect
92. #2707C22semidirect
93. #2705C22semidirect
94. #2705C22semidirect
95. #2704C22semidirect
96. #2704C22semidirect
97. #2702C22semidirect
98. #2702C22semidirect
99. #2696C22semidirect
100. #2694C22semidirect
101. #2692C22semidirect
102. #2690C22semidirect
103. #2683C22semidirect
104. #2682C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2677C22semidirect
108. #2676C22semidirect
109. #2674C22semidirect
110. #2673C22semidirect
111. #2663C22semidirect
112. #2663C22semidirect
114. #2661C22semidirect
115. #2659C22semidirect
118. #2639C22semidirect
119. #2630C22semidirect
120. #2630C22semidirect
121. #2630C22semidirect
122. #2630C22semidirect
127. #2625C22semidirect
131. #2618C22semidirect
132. #2618C22semidirect
135. #2616C22semidirect
137. #2602C22semidirect
138. #2602C22semidirect
139. #2602C22semidirect
140. #2602C22semidirect
149. #2564C22semidirect
150. #2564C22semidirect
153. #2560C22semidirect
154. #2560C22semidirect
155. #2558C22semidirect
156. #2558C22semidirect
157. #2556C22semidirect
158. #2556C22semidirect
159. #2554C22semidirect
160. #2554C22semidirect
162. #2543C22semidirect
169. #2519C22semidirect
170. #2519C22semidirect
171. #2512C22semidirect
172. #2506C22semidirect
178. #2499C22semidirect
179. #2498C22semidirect
180. #2498C22semidirect
183. #2485C22semidirect
184. #2481C22semidirect
185. #2479C22semidirect
186. #2477C22semidirect
187. #2475C22semidirect
188. #2473C22semidirect
189. #2471C22semidirect
190. #2469C22semidirect
191. #2467C22semidirect
192. #2465C22semidirect
193. #2463C22semidirect
194. #2462C22semidirect
195. #2461C22semidirect
196. #2461C22semidirect
197. #2460C22semidirect
198. #2458C22semidirect
199. #2456C22semidirect
200. #2452C22semidirect
201. #2449C22semidirect
202. #2445C22semidirect
203. #2443C22semidirect
208. #2432C22semidirect
210. #2430C22semidirect
211. #2430C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
215. #2416C22semidirect
226. #2407C22semidirect
227. #2395C22semidirect
228. #2388C22semidirect
233. #2345C22semidirect
234. #2345C22semidirect
235. #2325C22semidirect
236. #2325C22semidirect
247. C4×#121C22semidirect
248. C4×#121C22semidirect
251. C2×#389C22semidirect
252. C2×#387C22semidirect
253. C2×#387C22semidirect
257. C2×C4×C4⋊C4C22semidirect
428. C22×C4⋊C4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34922
C22×#5392
#413792
#413772
#404992
#404972
#397172
#397162
#395892
#395882
#391292
#391282
#391172
#391162
#374522
#374422
#374392
#371302
#367422
#367412
#353662
#350852
#350782
#350772
#350642
#350062
#350042
#349572
C2×#23452