Finite Group Databasebeta

← #7678061

Subgroups — #7678061

Order 512.

6960 conjugacy classes of subgroups.

The subgroup lattice has 1621 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3515C212yesmaximal, complemented
2#59154C212yesmaximal, complemented
3#59153C212yesmaximal, complemented
4#59139C212yesmaximal, complemented
5#59138C212yesmaximal, complemented
6#59085C212yesmaximal, complemented
7#59083C212yesmaximal, complemented
8#59058C212yesmaximal, complemented
9#59054C212yesmaximal, complemented
10#44768C214yesmaximal, complemented
11#44765C214yesmaximal, complemented
12#44414C214yesmaximal, complemented
13#44248C214yesmaximal, complemented
14#39487C212yesmaximal, complemented
15#39487C211yesmaximal, characteristic, complemented
16#39359C211yesmaximal, characteristic, complemented
17#39359C212yesmaximal, complemented
18#39165C212yesmaximal, complemented
19#38087C214yesmaximal, complemented
20#36596C211yesmaximal, characteristic, complemented
21#36561C211yesmaximal, characteristic, complemented
22#36424C212yesmaximal, complemented
23#35366C214yesmaximal, complemented
24#35103C211yesmaximal, characteristic, complemented
25#35006C212yesmaximal, complemented
26#34964C212yesmaximal, complemented
27#34274C212yesmaximal, complemented
28C2×#2370C211yesmaximal, characteristic, complemented
29C4×#537C211yesmaximal, characteristic, complemented
30#3515—232no—
31C2×#557C2212yes—
32C2×#554C2212yes—
33C2×#554C2212yes—
34C2×#553C2212yes—
35C2×#553C2212yes—
36C2×#552C2212yes—
37C2×#552C2212yes—
38C2×#552C2214yes—
39C2×#552C2214yes—
40C2×#552C2214yes—
41C2×#547C2212yes—
42C2×#547C2214yes—
43C2×#541C2214yes—
44C2×#539C2214yes—
45C2×#539C2214yes—
46C2×#537C2211yescharacteristic
47C2×#537C2212yes—
48C2×#533C2212yes—
49C2×#529C2212yes—
50C2×#529C2212yes—
51C2×#529C2212yes—
52C22×#125C2212yes—
53C22×#125C2211yescharacteristic
54C2×#520C2214yes—
55C2×C4×#41C2212yes—
56#2857C2211yescharacteristic
57#2857C2212yes—
58#2856C2211yescharacteristic
59#2856C2212yes—
60#2854C2214yes—
61#2850C2212yes—
62#2727C2212yes—
63#2727C2214yes—
64#2726C2214yes—
65#2726C2212yes—
66#2725C2214yes—
67#2725C2214yes—
68#2725C2214yes—
69#2725C2214yes—
70#2716C2214yes—
71#2714C2214yes—
72#2713C2214yes—
73#2711C2214yes—
74#2707C2214yes—
75#2702C2214yes—
76#2696C2214yes—
77#2694C2214yes—
78#2692C2214yes—
79#2690C2214yes—
80#2683C2214yes—
81#2683C2212yes—
82#2682C2214yes—
83#2682C2212yes—
84#2681C2214yes—
85#2681C2214yes—
86#2681C2214yes—
87#2681C2214yes—
88#2639C2214yes—
89#2618C2212yes—
90#2618C2212yes—
91#2618C2212yes—
92#2618C2212yes—
93#2601C2214yes—
94#2601C2214yes—
95#2601C2214yes—
96#2601C2214yes—
97#2592C2212yes—
98#2584C2212yes—
99#2566C2212yes—
100#2565C2212yes—
101#2564C2214yes—
102#2562C2212yes—
103#2560C2214yes—
104#2560C2214yes—
105#2560C2214yes—
106#2558C2214yes—
107#2558C2214yes—
108#2558C2214yes—
109#2556C2214yes—
110#2556C2214yes—
111#2554C2214yes—
112#2554C2214yes—
113#2552C2211yescharacteristic
114#2551C2211yescharacteristic
115#2550C2212yes—
116#2545C2212yes—
117#2544C2212yes—
118#2543C2214yes—
119#2542C2211yescharacteristic
120#2541C2211yescharacteristic
121#2540C2212yes—
122#2540C2212yes—
123#2512C2214yes—
124#2512C2212yes—
125#2506C2214yes—
126#2506C2212yes—
127#2498C2214yes—
128#2498C2214yes—
129#2498C2214yes—
130#2492C2212yes—
131#2492C2212yes—
132#2490C2212yes—
133#2490C2212yes—
134#2481C2214yes—
135#2481C2214yes—
136#2479C2214yes—
137#2477C2214yes—
138#2477C2214yes—
139#2475C2214yes—
140#2473C2214yes—
141#2473C2214yes—
142#2471C2214yes—
143#2471C2214yes—
144#2469C2214yes—
145#2467C2214yes—
146#2467C2214yes—
147#2465C2214yes—
148#2465C2214yes—
149#2463C2214yes—
150#2462C2214yes—
151#2460C2214yes—
152#2460C2214yes—
153#2458C2214yes—
154#2458C2214yes—
155#2456C2214yes—
156#2453C2214yes—
157#2453C2212yes—
158#2453C2212yes—
159#2452C2214yes—
160#2452C2212yes—
161#2452C2212yes—
162#2452C2214yes—
163#2452C2212yes—
164#2449C2214yes—
165#2445C2212yes—
166#2445C2214yes—
167#2443C2214yes—
168#2442C2212yes—
169#2441C2212yes—
170#2441C2214yes—
171#2440C2212yes—
172#2440C2214yes—
173#2439C2212yes—
174#2430C2214yes—
175#2430C2214yes—
176#2430C2214yes—
177#2429C2214yes—
178#2429C2212yes—
179#2428C2214yes—
180#2428C2212yes—
181#2427C2212yes—
182#2426C2212yes—
183#2417C2214yes—
184#2417C2212yes—
185#2417C2212yes—
186#2416C2212yes—
187#2416C2212yes—
188#2416C2214yes—
189#2416C2214yes—
190#2416C2212yes—
191#2416C2212yes—
192#2415C2212yes—
193#2415C2212yes—
194#2415C2214yes—
195#2396C2214yes—
196#2392C2214yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2212yes—
200#2370C2212yes—
201#2370C2214yes—
202#2370C2214yes—
203#2367C2212yes—
204#2366C2211yescharacteristic
205#2365C2211yescharacteristic
206#2363C2212yes—
207#2363C2212yes—
208#2363C2214yes—
209#2363C2214yes—
210#2362C2214yes—
211#2362C2214yes—
212#2361C2214yes—
213#2361C2214yes—
214#2360C2214yes—
215#2360C2212yes—
216#2360C2214yes—
217#2360C2212yes—
218#2354C2211yescharacteristic
219#2352C2212yes—
220D4×C4⋊C4C2211yescharacteristic
221#2325C2212yes—
222#2325C2212yes—
223#2325C2212yes—
224#2325C2211yescharacteristic
225#2325C2211yescharacteristic
226#2325C2214yes—
227#2324C2212yes—
228#2324C2212yes—
229#2323C2212yes—
230#2323C2212yes—
231#2316C2211yescharacteristic
232#2316C2212yes—
233#2311C2212yes—
234C4×C22⋊Q8C2212yes—
235C4×C22⋊Q8C2212yes—
236C4×C22⋊Q8C2212yes—
237C4×C22⋊Q8C2212yes—
238C4×#121C2212yes—
239C4×#121C2212yes—
240C4×#121C2212yes—
241C4×#121C2212yes—
242C4×#121C2214yes—
243C4×#121C2214yes—
244C4×#121C2211yescharacteristic
245C4×#121C2212yes—
246C4×#121C2211yescharacteristic
247C4×#121C2212yes—
248C4×#121C2212yes—
249#2297C2214yes—
250C2×#389C2211yescharacteristic
251C2×#389C2212yes—
252C2×#389C2211yescharacteristic
253C2×#387C2212yes—
254C2×#387C2212yes—
255C2×C4×C4⋊C4C2211yescharacteristic
256C2×C4×C4⋊C4C2211yescharacteristic
257C2×C4×C4⋊C4C2211yescharacteristic
258C2×C4×C4⋊C4C2212yes—
259C2×C4×C4⋊C4C2211yescharacteristic
260C22×#41C2312yes—
261C22×#41C2314yes—
262#557—216no—
263#554—216no—
264#554—216no—
265#553—216no—
266#553—216no—
267#552—232no—
268#552—216no—
269#552—232no—
270#552—232no—
271#552—216no—
272#547—216no—
273#547—232no—
274#541—232no—
275#539—232no—
276#539—232no—
277#537—28no—
278#537—216no—
279#533—216no—
280C2×C4⋊Q8C2312yes—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2314yes—
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2312yes—
285C2×#127C2311yescharacteristic
286C2×#127C2312yes—
287#529—216no—
288#529—216no—
289#529—216no—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#126C2314yes—
294C2×#126C2314yes—
295C2×#126C2314yes—
296C2×#126C2314yes—
297C2×#125—216no—
298C2×#125D4116yescomplemented
299C2×#125C2312yes—
300C2×#125C2314yes—
301C2×#125C2312yes—
302C2×#125C2312yes—
303C2×#125C2314yes—
304C2×#125C2314yes—
305C2×#125C2314yes—
306C2×#125C2314yes—
307C2×#125C2314yes—
308C2×#125C2314yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313C2×#124C2312yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2314yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360#520—232no—
361C4×#41—216no—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2314yes—
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2314yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2312yes—
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2314yes—
400C2×#117C2314yes—
401C2×#117C2314yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2314yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2311yescharacteristic
417C22×C42C2312yes—
418C22×C42C2312yes—
419C22×C42C2311yescharacteristic
420C22×C42C2312yes—
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2312yes—
424C22×C42C2311yescharacteristic
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#392C2314yes—
494#392C2314yes—
495#392C2314yes—
496#392C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#390C2312yes—
508#390C2312yes—
509#390C2314yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2312yes—
635#386C2312yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2312yes—
672#382C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2311yescharacteristic
684#380C2312yes—
685#380C2311yescharacteristic
686#380C2312yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690C4×C4⋊C4C2314yes—
691C4×C4⋊C4C2314yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2312yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2314yes—
699C4×C4⋊C4C2311yescharacteristic
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2311yescharacteristic
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2311yescharacteristic
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2314yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722C4×C22⋊C4C2314yes—
723C4×C22⋊C4C2314yes—
724C4×C22⋊C4C2314yes—
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2314yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C2×#95C2312yes—
732C2×#95C2311yescharacteristic
733C2×#95C2311yescharacteristic
734C2×#95C2312yes—
735C2×#95C2312yes—
736C2×#95C2312yes—
737C2×#95C2312yes—
738C2×#41—28no—
739C2×#41—216no—
740C2×#41—28no—
741C2×#41—216no—
742C2×#41—48no—
743C2×#41—44no—
744C22×Q8C2412yes—
745C22×Q8C2412yes—
746C22×Q8C2414yes—
747C22×Q8C2414yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2411yescharacteristic
758C22×D4C2412yes—
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2414yes—
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2414yes—
773C23×C4C2411yescharacteristic
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C4⋊Q8—28no—
785C4⋊Q8—28no—
786C4⋊Q8—216no—
787C4⋊Q8—42no—
788C4⋊Q8—82no—
789#127—42no—
790#127—82no—
791#126—216no—
792#126—216no—
793#126—216no—
794#126—216no—
795#126—216no—
796#126—216no—
797#126—216no—
798#125—216no—
799#125—216no—
800#125—28no—
801#125—28no—
802#125—216no—
803#125—216no—
804#125—216no—
805#125—216no—
806#125—216no—
807#125—28no—
808#125C2×D4116yes—
809#125C2×D4116yes—
810#125C2×D4132yes—
811#124—28no—
812#124—44no—
813#123—216no—
814#123—216no—
815#123—216no—
816#123—216no—
817#123—216no—
818#123—216no—
819#123—216no—
820#123—216no—
821#123—216no—
822C22⋊Q8—28no—
823C22⋊Q8—216no—
824C22⋊Q8—28no—
825C22⋊Q8—28no—
826C22⋊Q8—216no—
827C22⋊Q8—216no—
828C22⋊Q8—216no—
829C22⋊Q8—216no—
830C22⋊Q8—216no—
831C22⋊Q8—216no—
832C22⋊Q8—216no—
833C22⋊Q8—28no—
834C22⋊Q8—216no—
835C22⋊Q8—28no—
836C22⋊Q8—28no—
837C22⋊Q8—216no—
838C22⋊Q8—44no—
839C22⋊Q8—84no—
840#121—28no—
841#121—216no—
842#121—28no—
843#121—216no—
844#121—28no—
845#121—216no—
846#121—28no—
847#121—24no—
848#121—28no—
849#121—28no—
850#121—216no—
851#121—28no—
852#121—28no—
853#121—216no—
854#121—44no—
855#121—48no—
856#121—44no—
857#121—84no—
858#121#4118yes—
859C4×Q8—216no—
860C4×Q8—216no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—216no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—28no—
867C4×D4—28no—
868C4×D4—28no—
869C4×D4—28no—
870C4×D4—28no—
871C4×D4—216no—
872C4×D4—216no—
873C4×D4—216no—
874C4×D4—216no—
875C4×D4—216no—
876C4×D4—216no—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—44no—
883C4×D4—42no—
884C4×D4—42no—
885C4×D4—82no—
886C4×D4—84no—
887C4×D4—82no—
888C4×D4—84no—
889#117—28no—
890#117—216no—
891#117—216no—
892#117—216no—
893#117—216no—
894#117—28no—
895#117—28no—
896#117—28no—
897#117—28no—
898#117—216no—
899C2×C4⋊C4—24no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4—216no—
902C2×C4⋊C4—216no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—216no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—42no—
908C2×C4⋊C4—42no—
909C2×C4⋊C4—82no—
910C2×C4⋊C4C2×D4116yes—
911C2×C4⋊C4C2×D418yes—
912C2×C4⋊C4C2×D4116yes—
913C2×C4⋊C4C2×D418yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C42—28no—
1031C2×C42—28no—
1032C2×C42—42no—
1033C2×C42—42no—
1034C2×C42—44no—
1035C2×C42—82no—
1036C2×C42—82no—
1037C2×C42C2×D418yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111C24C2514yes—
1112C24C2512yes—
1113C24C2512yes—
1114C24C2511yescharacteristic
1115#41—432no—
1116#41—464no—
1117C2×Q8—24no—
1118C2×Q8—24no—
1119C2×Q8—28no—
1120C2×Q8—28no—
1121C2×Q8—24no—
1122C2×Q8—28no—
1123C2×Q8—24no—
1124C2×Q8—24no—
1125C2×Q8—44no—
1126C2×Q8—42no—
1127C2×Q8—44no—
1128C2×Q8—44no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—28no—
1133C2×D4—24no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—24no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—22no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—24no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—44no—
1153C2×D4—42no—
1154C2×D4—41no—
1155C2×D4—42no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—42no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—42no—
1164C2×D4—41no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4C2×#4118yes—
1170C2×D4C2×#4114yes—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—28no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—41no—
1207C22×C4—42no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—41no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—41no—
1220C22×C4—44no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—41no—
1231C22×C4C22×D414yes—
1232C22×C4C22×D414yes—
1233C22×C4C22×D418yes—
1234C22×C4C22×D414yes—
1235C22×C4C22×D418yes—
1236C22×C4C2×#4114yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—24no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—42no—
1307C4⋊C4—41no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—41no—
1318C4⋊C4C22×D414yes—
1319C4⋊C4C22×D418yes—
1320C4⋊C4C22×D4116yes—
1321C4⋊C4C22×D4116yes—
1322C4⋊C4C22×D4116yes—
1323C4⋊C4C22×D414yes—
1324C4⋊C4C22×D4116yes—
1325C4⋊C4C22×D418yes—
1326C4⋊C4C22×D418yes—
1327C4⋊C4C2×#4114yes—
1328C4⋊C42−1+414yes—
1329C22⋊C4—24no—
1330C22⋊C4—28no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
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⋊C4C2×#4118yes—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—28no—
1385C42—28no—
1386C42—28no—
1387C42—28no—
1388C42—28no—
1389C42—24no—
1390C42—22no—
1391C42—22no—
1392C42—41no—
1393C42—41no—
1394C42—42no—
1395C42—44no—
1396C42—44no—
1397C42—42no—
1398C42—44no—
1399C42—42no—
1400C42—44no—
1401C42—42no—
1402C42—42no—
1403C42C22×D418yes—
1404C42C22×D418yes—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—24no—
1417C23—22no—
1418C23—24no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—24no—
1423C23—24no—
1424C23—22no—
1425C23—24no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23C23×D412yes—
1430C23C22×#4114yes—
1431C23C22×#4112yes—
1432C23#58512yes—
1433C23C2611yescharacteristic
1434Q8—416no—
1435Q8—48no—
1436Q8—48no—
1437Q8—88no—
1438D4—216no—
1439D4—44no—
1440D4—416no—
1441D4—48no—
1442D4—48no—
1443D4—416no—
1444D4—48no—
1445D4—82no—
1446D4—84no—
1447D4—88no—
1448D4—88no—
1449D4—84no—
1450D4—88no—
1451D4—162no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—216no—
1473C2×C4—28no—
1474C2×C4—28no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—44no—
1518C2×C4—48no—
1519C2×C4—44no—
1520C2×C4—48no—
1521C2×C4—416no—
1522C2×C4—48no—
1523C2×C4—48no—
1524C2×C4—416no—
1525C2×C4—44no—
1526C2×C4—48no—
1527C2×C4—48no—
1528C2×C4—84no—
1529C2×C4—88no—
1530C2×C4—84no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4—82no—
1534C2×C4—84no—
1535C2×C4—82no—
1536C2×C4C23×D414yes—
1537C2×C4C23×D414yes—
1538C2×C4C23×D414yes—
1539C2×C4C23×D418yes—
1540C2×C4C23×D414yes—
1541C2×C4C23×D412yes—
1542C2×C4C23×D412yes—
1543C2×C4C22×#4112yes—
1544C2×C4C22×#4114yes—
1545C2×C4C22×#4112yes—
1546C2×C4C2×2−1+414yes—
1547C2×C4C2×2−1+412yes—
1548C2×C4#58512yes—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—24no—
1556C22—24no—
1557C22—24no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—44no—
1564C22—44no—
1565C22—42no—
1566C22—42no—
1567C22—44no—
1568C22—44no—
1569C22—42no—
1570C22—44no—
1571C22—42no—
1572C22—42no—
1573C22—44no—
1574C22—42no—
1575C22—44no—
1576C22D4×#4114yes—
1577C22C24×D411yescharacteristic
1578C22C23×#4111yescharacteristic
1579C22C22×2−1+411yescharacteristic
1580C22C2×#58511yescharacteristic
1581C22C2×#58511yescharacteristic
1582C22H(7,𝔽2)11yescharacteristic
1583C222−1+611yescharacteristic
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—24no—
1588C4—24no—
1589C4—24no—
1590C4—24no—
1591C4—28no—
1592C4—24no—
1593C4—24no—
1594C4—42no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—44no—
1599C4—42no—
1600C4—44no—
1601C4—42no—
1602C4—42no—
1603C4—41no—
1604C4—41no—
1605C4—42no—
1606C4—42no—
1607C4—44no—
1608C4#349714yes—
1609C2—24no—
1610C2—44no—
1611C2—82no—
1612C2—84no—
1613C2C2×D4×#4111yescharacteristic
1614C2C2×#349711yescharacteristic
1615C2#6285311yescharacteristic
1616C2#6293411yescharacteristic
1617C2#6294811yescharacteristic
1618C2#6299211yescharacteristic
1619C2#6300111yescharacteristic
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×#3515C2semidirect
2. #59154C2semidirect
3. #59153C2semidirect
4. #59139C2semidirect
5. #59138C2semidirect
6. #59085C2semidirect
7. #59083C2semidirect
8. #59058C2semidirect
9. #59054C2semidirect
10. #44768C2semidirect
11. #44765C2semidirect
12. #44414C2semidirect
13. #44248C2semidirect
14. #39487C2semidirect
15. #39487C2semidirect
16. #39359C2semidirect
17. #39359C2semidirect
18. #39165C2semidirect
19. #38087C2semidirect
20. #36596C2semidirect
21. #36561C2semidirect
22. #36424C2semidirect
23. #35366C2semidirect
24. #35103C2semidirect
25. #35006C2semidirect
26. #34964C2semidirect
27. #34274C2semidirect
28. C2×#2370C2semidirect
29. C4×#537C2semidirect
298. C2×#125D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35152
#591542
#591532
#591392
#591382
#590852
#590832
#590582
#590542
#447682
#447652
#444142
#442482
#394872
#393592
#391652
#380872
#365962
#365612
#364242
#353662
#351032
#350062
#349642
#342742
C2×#23702
C4×#5372