Finite Group Databasebeta

← #7688622

Subgroups — #7688622

Order 512.

5036 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59718C212yesmaximal, complemented
2#59500C212yesmaximal, complemented
3#59467C211yesmaximal, characteristic, complemented
4#59304C211yesmaximal, characteristic, complemented
5#59304C212yesmaximal, complemented
6#59293C212yesmaximal, complemented
7#59217C211yesmaximal, characteristic, complemented
8#59140C212yesmaximal, complemented
9#59047C212yesmaximal, complemented
10#44410C214yesmaximal, complemented
11#43872C214yesmaximal, complemented
12#43578C214yesmaximal, complemented
13#40226C212yesmaximal, complemented
14#40216C212yesmaximal, complemented
15#40077C212yesmaximal, complemented
16#40075C212yesmaximal, complemented
17#39759C212yesmaximal, complemented
18#39165C212yesmaximal, complemented
19#36586C211yesmaximal, characteristic, complemented
20#36561C211yesmaximal, characteristic, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36315C211yesmaximal, characteristic, complemented
23#36290C211yesmaximal, characteristic, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36189C211yesmaximal, characteristic, complemented
26#36189C212yesmaximal, complemented
27#36112C212yesmaximal, complemented
28#35859C214yesmaximal, complemented
29#34978C211yesmaximal, characteristic, complemented
30#34932C211yesmaximal, characteristic, complemented
31C2×#2552C211yesmaximal, characteristic, complemented
32#34332C212yesmaximal, complemented
33#34323C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#553C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#552C2212yes—
41C2×#529C2212yes—
42C22×#125C2212yes—
43#2861C2212yes—
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2857C2212yes—
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2851C2212yes—
51#2850C2212yes—
52#2810C2214yes—
53#2798C2214yes—
54#2798C2214yes—
55#2791C2214yes—
56#2787C2214yes—
57#2781C2214yes—
58#2766C2214yes—
59#2764C2214yes—
60#2738C2214yes—
61#2727C2214yes—
62#2725C2214yes—
63#2721C2214yes—
64#2719C2214yes—
65#2718C2214yes—
66#2718C2214yes—
67#2718C2214yes—
68#2707C2214yes—
69#2707C2214yes—
70#2702C2214yes—
71#2687C2214yes—
72#2681C2214yes—
73#2654C2214yes—
74#2653C2214yes—
75#2639C2214yes—
76#2612C2214yes—
77#2611C2214yes—
78#2596C2214yes—
79#2590C2214yes—
80#2577C2214yes—
81#2574C2214yes—
82#2571C2211yescharacteristic
83#2570C2214yes—
84#2570C2212yes—
85#2565C2212yes—
86#2564C2214yes—
87#2562C2212yes—
88#2558C2214yes—
89#2556C2214yes—
90#2556C2214yes—
91#2553C2214yes—
92#2553C2214yes—
93#2552C2212yes—
94#2552C2211yescharacteristic
95#2552C2212yes—
96#2552C2211yescharacteristic
97#2552C2212yes—
98#2552C2211yescharacteristic
99#2552C2214yes—
100#2552C2212yes—
101#2552C2211yescharacteristic
102#2552C2212yes—
103#2552C2211yescharacteristic
104#2551C2211yescharacteristic
105#2547C2211yescharacteristic
106#2542C2211yescharacteristic
107#2537C2211yescharacteristic
108#2537C2212yes—
109#2531C2214yes—
110#2529C2214yes—
111#2528C2214yes—
112#2525C2214yes—
113#2524C2214yes—
114#2519C2214yes—
115#2519C2214yes—
116#2514C2212yes—
117#2511C2214yes—
118#2511C2212yes—
119#2510C2214yes—
120#2509C2212yes—
121#2509C2212yes—
122#2507C2212yes—
123#2507C2212yes—
124#2507C2212yes—
125#2506C2212yes—
126#2505C2214yes—
127#2501C2212yes—
128#2501C2214yes—
129#2497C2212yes—
130#2497C2212yes—
131#2497C2212yes—
132#2496C2212yes—
133#2496C2214yes—
134#2496C2212yes—
135#2496C2212yes—
136#2494C2212yes—
137#2492C2212yes—
138#2490C2212yes—
139#2489C2212yes—
140#2489C2212yes—
141#2489C2212yes—
142#2487C2212yes—
143#2487C2212yes—
144#2487C2212yes—
145#2485C2212yes—
146#2485C2212yes—
147#2481C2214yes—
148#2481C2214yes—
149#2479C2214yes—
150#2476C2214yes—
151#2475C2214yes—
152#2475C2214yes—
153#2473C2214yes—
154#2460C2214yes—
155#2458C2214yes—
156#2454C2212yes—
157#2453C2212yes—
158#2453C2212yes—
159#2452C2212yes—
160#2452C2212yes—
161#2448C2212yes—
162#2443C2214yes—
163#2443C2214yes—
164#2443C2214yes—
165#2442C2212yes—
166#2442C2214yes—
167#2442C2212yes—
168#2442C2212yes—
169#2441C2212yes—
170#2441C2212yes—
171#2441C2214yes—
172#2441C2212yes—
173#2441C2212yes—
174#2441C2212yes—
175#2439C2212yes—
176#2439C2212yes—
177#2439C2212yes—
178#2427C2212yes—
179#2426C2212yes—
180#2425C2214yes—
181#2423C2212yes—
182#2423C2214yes—
183#2422C2212yes—
184#2422C2212yes—
185#2422C2212yes—
186#2417C2212yes—
187#2417C2212yes—
188#2417C2214yes—
189#2416C2212yes—
190#2416C2214yes—
191#2416C2212yes—
192#2415C2212yes—
193#2413C2214yes—
194#2396C2214yes—
195#2395C2214yes—
196C2×#398C2214yes—
197#2374C2212yes—
198#2374C2212yes—
199#2373C2214yes—
200#2373C2212yes—
201#2373C2212yes—
202#2370C2212yes—
203#2370C2212yes—
204#2370C2214yes—
205#2370C2211yescharacteristic
206#2370C2211yescharacteristic
207#2369C2212yes—
208#2365C2211yescharacteristic
209#2365C2211yescharacteristic
210#2364C2212yes—
211#2364C2212yes—
212#2363C2212yes—
213#2363C2211yescharacteristic
214#2363C2211yescharacteristic
215#2361C2211yescharacteristic
216#2361C2214yes—
217#2361C2211yescharacteristic
218#2360C2212yes—
219#2360C2214yes—
220#2360C2212yes—
221#2360C2214yes—
222#2360C2212yes—
223#2359C2214yes—
224#2357C2211yescharacteristic
225#2357C2211yescharacteristic
226#2354C2211yescharacteristic
227#2354C2211yescharacteristic
228#2354C2212yes—
229#2353C2212yes—
230#2353C2212yes—
231#2352C2211yescharacteristic
232#2352C2214yes—
233#2352C2214yes—
234#2352C2212yes—
235#2352C2212yes—
236#2352C2211yescharacteristic
237Q8×C4⋊C4C2212yes—
238#2349C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2214yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2211yescharacteristic
244#2347C2211yescharacteristic
245#2347C2212yes—
246#2347C2211yescharacteristic
247#2346C2212yes—
248#2345C2212yes—
249#2345C2211yescharacteristic
250#2345C2212yes—
251#2345C2211yescharacteristic
252#2335C2214yes—
253#2334C2214yes—
254#2330C2214yes—
255#2329C2214yes—
256#2329C2214yes—
257#2325C2214yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×#125C2212yes—
262C4×#125C2212yes—
263C4×#125C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×#123C2212yes—
270C4×#123C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2296C2212yes—
280#2295C2212yes—
281#2293C2212yes—
282C2×#389C2212yes—
283C2×#389C2212yes—
284C2×#389C2212yes—
285#2285C2211yescharacteristic
286#2285C2212yes—
287C2×#384C2212yes—
288C2×#384C2211yescharacteristic
289#2275C2214yes—
290C42×D4C2212yes—
291C42×D4C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#554—216no—
300#553—216no—
301#553—28no—
302#553—28no—
303#552—48no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307#529—48no—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125—48no—
314C2×#125C2312yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2314yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2312yes—
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2314yes—
393C22×C4⋊C4C2314yes—
394C22×C4⋊C4C2314yes—
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401C22×C42C2312yes—
402C22×C42C2312yes—
403C22×C42C2312yes—
404#401C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
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#395C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#390C2314yes—
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2312yes—
489#390C2314yes—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2314yes—
507#389C2314yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2312yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#384C2312yes—
668#384C2312yes—
669#384C2311yescharacteristic
670#384C2312yes—
671#384C2314yes—
672#384C2311yescharacteristic
673#384C2314yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2314yes—
680#384C2312yes—
681#384C2312yes—
682#383C2312yes—
683#383C2312yes—
684#383C2314yes—
685#382C2311yescharacteristic
686#382C2312yes—
687#382C2312yes—
688#382C2311yescharacteristic
689#382C2312yes—
690#382C2314yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#381C2312yes—
695#381C2312yes—
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2312yes—
701#380C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2312yes—
706#380C2314yes—
707#380C2314yes—
708#380C2312yes—
709#380C2312yes—
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C23×C4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2414yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C4⋊Q8—28no—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849#126—28no—
850#126—28no—
851#126—216no—
852#126—48no—
853#126—48no—
854#125—28no—
855#125—24no—
856#125—24no—
857#125—216no—
858#125—28no—
859#125—28no—
860#125—44no—
861#125—44no—
862#125—48no—
863#125—48no—
864#125—48no—
865#125—82no—
866#124—44no—
867#123—28no—
868#123—216no—
869#123—28no—
870#123—48no—
871#123—48no—
872#123—84no—
873C22⋊Q8—216no—
874C22⋊Q8—28no—
875C22⋊Q8—216no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—44no—
879C22⋊Q8—84no—
880#121—28no—
881#121—24no—
882#121—216no—
883#121—28no—
884#121—28no—
885#121—24no—
886#121—24no—
887#121—44no—
888#121—84no—
889#121#4118yes—
890C4×Q8—28no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—84no—
894C4×D4—216no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—216no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916#117—28no—
917#117—24no—
918#117—24no—
919#117—24no—
920#117—48no—
921#117—44no—
922#117—42no—
923#117—48no—
924#117—82no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—42no—
930C2×C4⋊C4—44no—
931C2×C4⋊C4—48no—
932C2×C4⋊C4—48no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4—84no—
935C2×C4⋊C4—84no—
936C2×C4⋊C4—82no—
937C2×C4⋊C4#4118yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42—44no—
1065C2×C42—44no—
1066C2×C42—44no—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24C2511yescharacteristic
1179C24C2512yes—
1180C24C2512yes—
1181C24C2511yescharacteristic
1182C2×Q8—24no—
1183C2×Q8—28no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—44no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4C2×#4118yes—
1211C2×D4C2×#4114yes—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—28no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4C2×#4114yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2×#4118yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2514yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4C2×#4114yes—
1372C4⋊C4C2×#4114yes—
1373C4⋊C4C2×#4118yes—
1374C4⋊C4C2×#4114yes—
1375C4⋊C4H(5,𝔽2)14yes—
1376C22⋊C4—22no—
1377C22⋊C4—24no—
1378C22⋊C4—22no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—24no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—22no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4C2×#4118yes—
1422C22⋊C42−1+414yes—
1423C42—24no—
1424C42—24no—
1425C42—28no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—28no—
1430C42—24no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—24no—
1447C42—42no—
1448C42—42no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—44no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42—44no—
1460C42—42no—
1461C42—42no—
1462C42—41no—
1463C422−1+414yes—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—21no—
1478C23—21no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—22no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—21no—
1488C23C22×#4114yes—
1489C23C22×#4112yes—
1490C23C22×#4112yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—88no—
1495D4—216no—
1496D4—28no—
1497D4—48no—
1498D4—44no—
1499D4—44no—
1500D4—84no—
1501D4—88no—
1502D4—84no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—28no—
1522C2×C4—28no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—88no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—88no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—84no—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4114yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C2×H(5,𝔽2)14yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×2−1+412yes—
1610C2×C4C2×2−1+412yes—
1611C2×C4C2×2−1+412yes—
1612C2×C4C2×2−1+412yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—41no—
1642C22#348214yes—
1643C22C23×#4111yescharacteristic
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×2−1+411yescharacteristic
1647C22C22×2−1+411yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22H(7,𝔽2)11yescharacteristic
1650C4—24no—
1651C4—24no—
1652C4—22no—
1653C4—24no—
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—22no—
1658C4—24no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—44no—
1663C4—42no—
1664C4—44no—
1665C4—41no—
1666C4—44no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—41no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—44no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4#351114yes—
1680C4#351514yes—
1681C2—24no—
1682C2—44no—
1683C2—82no—
1684C2—81no—
1685C2C2×#348211yescharacteristic
1686C2C2×#351511yescharacteristic
1687C2C2×#351111yescharacteristic
1688C2#6294511yescharacteristic
1689C2#6298611yescharacteristic
1690C2#6299211yescharacteristic
1691C2#6301311yescharacteristic
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. #59718C2semidirect
2. #59500C2semidirect
3. #59467C2semidirect
4. #59304C2semidirect
5. #59304C2semidirect
6. #59293C2semidirect
7. #59217C2semidirect
8. #59140C2semidirect
9. #59047C2semidirect
10. #44410C2semidirect
11. #43872C2semidirect
12. #43578C2semidirect
13. #40226C2semidirect
14. #40216C2semidirect
15. #40077C2semidirect
16. #40075C2semidirect
17. #39759C2semidirect
18. #39165C2semidirect
19. #36586C2semidirect
20. #36561C2semidirect
21. #36407C2semidirect
22. #36315C2semidirect
23. #36290C2semidirect
24. #36272C2semidirect
25. #36189C2semidirect
26. #36189C2semidirect
27. #36112C2semidirect
28. #35859C2semidirect
29. #34978C2semidirect
30. #34932C2semidirect
31. C2×#2552C2semidirect
32. #34332C2semidirect
33. #34323C2semidirect
34. C4×#553C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#597182
#595002
#594672
#593042
#592932
#592172
#591402
#590472
#444102
#438722
#435782
#402262
#402162
#400772
#400752
#397592
#391652
#365862
#365612
#364072
#363152
#362902
#362722
#361892
#361122
#358592
#349782
#349322
C2×#25522
#343322
#343232
C4×#5532