Finite Group Databasebeta

← #7690127

Subgroups — #7690127

Order 512.

4812 conjugacy classes of subgroups.

The subgroup lattice has 1642 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59957C214yesmaximal, complemented
2#59934C212yesmaximal, complemented
3#59443C211yesmaximal, characteristic, complemented
4#59440C212yesmaximal, complemented
5#59329C211yesmaximal, characteristic, complemented
6#59271C212yesmaximal, complemented
7#59253C212yesmaximal, complemented
8#59249C211yesmaximal, characteristic, complemented
9#45293C212yesmaximal, complemented
10#44904C212yesmaximal, complemented
11#44512C214yesmaximal, complemented
12#43223C214yesmaximal, complemented
13#39478C211yesmaximal, characteristic, complemented
14#39476C212yesmaximal, complemented
15#38976C211yesmaximal, characteristic, complemented
16#38974C212yesmaximal, complemented
17#38265C212yesmaximal, complemented
18#38257C214yesmaximal, complemented
19#36314C211yesmaximal, characteristic, complemented
20#36290C211yesmaximal, characteristic, complemented
21#36274C211yesmaximal, characteristic, complemented
22#36274C211yesmaximal, characteristic, complemented
23#36256C212yesmaximal, complemented
24#36239C212yesmaximal, complemented
25#36199C212yesmaximal, complemented
26#36189C211yesmaximal, characteristic, complemented
27#36067C212yesmaximal
28#35888C212yesmaximal, complemented
29#34793C211yesmaximal, characteristic, complemented
30C2×#2511C212yesmaximal, complemented
31#34334C211yesmaximal, characteristic, complemented
32#34260C212yesmaximal, complemented
33#34183C211yesmaximal, characteristic, complemented
34C4×#547C211yesmaximal, characteristic
35#34127C211yesmaximal, characteristic, complemented
36C2×D4×Q8C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#520C2212yes—
39C2×C4×#41C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2864C2212yes—
42#2859C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2855C2212yes—
47#2851C2212yes—
48#2851C2214yes—
49#2794C2214yes—
50#2794C2214yes—
51#2793C2214yes—
52#2791C2214yes—
53#2776C2214yes—
54#2775C2214yes—
55#2774C2214yes—
56#2772C2214yes—
57#2767C2214yes—
58#2767C2214yes—
59#2766C2214yes—
60#2764C2214yes—
61#2762C2214yes—
62#2758C2214yes—
63#2754C2214yes—
64#2751C2214yes—
65#2747C2214yes—
66#2745C2214yes—
67#2739C2214yes—
68#2721C2214yes—
69#2719C2214yes—
70#2645C2212yes—
71#2643C2214yes—
72#2625C2212yes—
73#2623C2214yes—
74#2612C2214yes—
75#2601C2214yes—
76#2590C2214yes—
77#2585C2214yes—
78#2582C2211yescharacteristic
79#2582C2211yescharacteristic
80#2573C2214yes—
81#2571C2211yescharacteristic
82#2570C2212yes—
83#2570C2212yes—
84#2570C2212yes—
85#2570C2212yes—
86#2569C2214yes—
87#2569C2214yes—
88#2568C2211yescharacteristic
89#2568C2211yescharacteristic
90#2565C2212yes—
91#2565C2212yes—
92#2552C2211yescharacteristic
93#2533C2214yes—
94#2533C2214yes—
95#2532C2214yes—
96#2530C2214yes—
97#2530C2212yes—
98#2528C2214yes—
99#2528C2214yes—
100#2528C2212yes—
101#2527C2214yes—
102#2524C2214yes—
103#2524C2214yes—
104#2520C2214yes—
105#2517C2212yes—
106#2514C2212yes—
107#2514C2212yes—
108#2514C2212yes—
109#2511C2212yes—
110#2511C2212yes—
111#2511C2214yes—
112#2511C2212yes—
113#2511C2212yes—
114#2511C2212yes—
115#2511C2212yes—
116#2511C2214yes—
117#2511C2214yes—
118#2511C2212yes—
119#2511C2212yes—
120#2511C2212yes—
121#2511C2211yescharacteristic
122#2511C2214yes—
123#2510C2214yes—
124#2509C2212yes—
125#2509C2212yes—
126#2508C2212yes—
127#2508C2212yes—
128#2507C2212yes—
129#2507C2212yes—
130#2506C2212yes—
131#2506C2212yes—
132#2506C2211yescharacteristic
133#2505C2214yes—
134#2505C2214yes—
135#2505C2214yes—
136#2503C2212yes—
137#2503C2212yes—
138#2499C2212yes—
139#2499C2211yescharacteristic
140#2498C2214yes—
141#2497C2212yes—
142#2496C2212yes—
143#2496C2212yes—
144#2495C2212yes—
145#2494C2211yescharacteristic
146#2493C2214yes—
147#2493C2214yes—
148#2493C2214yes—
149#2489C2212yes—
150#2489C2212yes—
151#2489C2211yescharacteristic
152#2487C2212yes—
153#2485C2211yescharacteristic
154#2484C2214yes—
155#2484C2214yes—
156#2481C2214yes—
157#2481C2214yes—
158#2478C2214yes—
159#2475C2214yes—
160#2473C2214yes—
161#2473C2214yes—
162#2473C2214yes—
163#2460C2212yes—
164#2451C2212yes—
165#2451C2212yes—
166#2450C2214yes—
167#2450C2214yes—
168#2446C2212yes—
169#2446C2212yes—
170#2444C2214yes—
171#2444C2214yes—
172#2442C2212yes—
173#2442C2212yes—
174#2442C2212yes—
175#2441C2211yescharacteristic
176#2441C2212yes—
177#2439C2212yes—
178#2439C2212yes—
179#2438C2214yes—
180#2438C2214yes—
181#2423C2212yes—
182#2421C2212yes—
183#2421C2212yes—
184#2421C2212yes—
185#2419C2214yes—
186#2419C2214yes—
187#2417C2212yes—
188#2417C2212yes—
189#2417C2212yes—
190#2415C2211yescharacteristic
191#2409C2212yes—
192#2409C2212yes—
193#2401C2212yes—
194#2395C2212yes—
195C2×#400C2214yes—
196C2×#400C2214yes—
197#2371C2214yes—
198#2370C2212yes—
199#2369C2212yes—
200#2368C2214yes—
201#2365C2211yescharacteristic
202#2365C2211yescharacteristic
203#2362C2212yes—
204#2362C2211yescharacteristic
205#2362C2211yescharacteristic
206#2361C2212yes—
207#2360C2212yes—
208#2360C2212yes—
209#2359C2212yes—
210#2359C2212yes—
211#2356C2212yes—
212#2356C2212yes—
213#2356C2212yes—
214#2355C2211yescharacteristic
215#2355C2212yes—
216#2355C2211yescharacteristic
217#2355C2211yescharacteristic
218#2354C2211yescharacteristic
219#2353C2214yes—
220#2352C2212yes—
221#2352C2214yes—
222#2352C2212yes—
223#2352C2212yes—
224Q8×C4⋊C4C2212yes—
225Q8×C4⋊C4C2211yescharacteristic
226Q8×C4⋊C4C2211yescharacteristic
227#2349C2212yes—
228#2349C2212yes—
229#2349C2212yes—
230#2349C2212yes—
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2214yes—
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2345C2212yes—
242#2344C2212yes—
243#2344C2212yes—
244#2344C2212yes—
245#2343C2214yes—
246#2343C2214yes—
247#2343C2214yes—
248Q8×C22⋊C4C2212yes—
249#2339C2211yescharacteristic
250#2339C2212yes—
251#2339C2212yes—
252#2339C2211yescharacteristic
253#2339C2212yes—
254#2331C2212yes—
255#2329C2214yes—
256#2320C2212yes—
257#2318C2214yes—
258#2317C2212yes—
259#2317C2214yes—
260#2314C2212yes—
261#2313C2214yes—
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×#125C2212yes—
265C4×#125C2211yescharacteristic
266C4×C22⋊Q8C2212yes—
267C4×C22⋊Q8C2211yescharacteristic
268C4×C22⋊Q8C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×#123C2212yes—
272C4×#123C2212yes—
273C4×#121C2212yes—
274#2298C2212yes—
275#2295C2211yescharacteristic
276#2295C2212yes—
277#2295C2212yes—
278C2×#391C2212yes—
279C2×#391C2212yes—
280C2×#391C2212yes—
281C2×#389C2212yes—
282#2290C2214yes—
283#2290C2214yes—
284C2×#387C2214yes—
285C2×#387C2214yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2212yes—
289C2×#384C2212yes—
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2275C2212yes—
293C42×D4C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302D4×Q8—28no—
303#547—28no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#125C2312yes—
313C2×#123C2312yes—
314C2×#123C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×#121C2312yes—
324#520—216no—
325C4×#41—28no—
326C4×#41—28no—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×D4C2314yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2312yes—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2314yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2311yescharacteristic
357C2×#117C2314yes—
358C2×#117C2312yes—
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2314yes—
363C2×#117C2312yes—
364C22×C4⋊C4C2314yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2312yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2314yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2312yes—
380C22×C42C2314yes—
381#401C2314yes—
382#401C2314yes—
383#401C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2314yes—
418#399C2312yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#395C2314yes—
454#395C2314yes—
455#394C2312yes—
456#394C2312yes—
457#393C2314yes—
458#393C2314yes—
459#391C2311yescharacteristic
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2311yescharacteristic
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#390C2312yes—
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2311yescharacteristic
502#389C2311yescharacteristic
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2314yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#388C2314yes—
540#388C2314yes—
541#388C2312yes—
542#388C2312yes—
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2312yes—
548#388C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
560#387C2312yes—
561#387C2312yes—
562#387C2312yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2312yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2312yes—
636#386C2312yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#385C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#384C2311yescharacteristic
668#384C2312yes—
669#384C2312yes—
670#384C2312yes—
671#384C2312yes—
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2314yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2314yes—
678#384C2311yescharacteristic
679#383C2314yes—
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#382C2311yescharacteristic
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2314yes—
696#382C2312yes—
697#382C2314yes—
698#382C2314yes—
699#382C2314yes—
700#381C2312yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2314yes—
706#381C2312yes—
707#381C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2314yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2314yes—
802#376C2314yes—
803C2×#95C2314yes—
804C2×#95C2314yes—
805C2×#95C2314yes—
806C2×#95C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2312yes—
815C2×#41—24no—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41#4118yes—
821C22×Q8—28no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2414yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C4⋊Q8—24no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854#126—84no—
855#125—28no—
856#125—44no—
857#125—42no—
858#125—84no—
859#125—82no—
860#123—28no—
861#123—28no—
862C22⋊Q8—24no—
863C22⋊Q8—24no—
864C22⋊Q8—28no—
865C22⋊Q8—216no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—42no—
869C22⋊Q8—42no—
870#121—28no—
871C4×Q8—28no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—216no—
883C4×D4—216no—
884C4×D4—28no—
885C4×D4—28no—
886C4×D4—24no—
887C4×D4—28no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—28no—
892C4×D4—24no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—42no—
897C4×D4#4118yes—
898#117—216no—
899#117—28no—
900#117—24no—
901#117—24no—
902#117—28no—
903#117—28no—
904#117—42no—
905#117—42no—
906#117—82no—
907#117—84no—
908C2×C4⋊C4—216no—
909C2×C4⋊C4—28no—
910C2×C4⋊C4—28no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—82no—
917C2×C4⋊C4—84no—
918C2×C4⋊C4—84no—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2411yescharacteristic
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C42—28no—
1028C2×C42—28no—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—44no—
1032C2×C42—84no—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071#95C2412yes—
1072#95C2412yes—
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2414yes—
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161C24C2511yescharacteristic
1162C24C2511yescharacteristic
1163C24C2512yes—
1164#41—232no—
1165#41—416no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—28no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—44no—
1179C2×Q8—44no—
1180C2×Q8—816no—
1181C2×Q8C2×#4114yes—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—41no—
1190C2×D4C2×#4118yes—
1191C2×D4C2×#4114yes—
1192C2×D4C2×#4114yes—
1193C2×D42−1+414yes—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—24no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—24no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—24no—
1211C22×C4—28no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—41no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4C2×#4118yes—
1246C22×C4C2×#4118yes—
1247C22×C4C2×#4114yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—41no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4C2×#4114yes—
1355C4⋊C42−1+414yes—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4C2×#4118yes—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—22no—
1392C42—24no—
1393C42—22no—
1394C42—24no—
1395C42—22no—
1396C42—22no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—28no—
1401C42—28no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—24no—
1406C42—22no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—42no—
1414C42—42no—
1415C42—42no—
1416C42—44no—
1417C42—44no—
1418C42—44no—
1419C42—42no—
1420C42—42no—
1421C42—44no—
1422C42—44no—
1423C42—44no—
1424C42—41no—
1425C42C2×#4114yes—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23C22×#4112yes—
1444C23C22×#4114yes—
1445C23C22×#4114yes—
1446C23C2×2−1+414yes—
1447C23C2611yescharacteristic
1448Q8—28no—
1449Q8—44no—
1450Q8—48no—
1451Q8—44no—
1452Q8—88no—
1453D4—216no—
1454D4—44no—
1455D4—48no—
1456D4#552116yes—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—216no—
1472C2×C4—28no—
1473C2×C4—216no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—48no—
1546C2×C4—48no—
1547C2×C4—48no—
1548C2×C4—48no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—88no—
1555C2×C4—84no—
1556C2×C4—88no—
1557C2×C4—88no—
1558C2×C4C22×#4114yes—
1559C2×C4C22×#4114yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4C2×2−1+412yes—
1568C2×C4C2×2−1+412yes—
1569C2×C4#58512yes—
1570C2×C4#58512yes—
1571C22—24no—
1572C22—24no—
1573C22—24no—
1574C22—24no—
1575C22—24no—
1576C22—24no—
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22C2×#55218yes—
1592C22C23×#4111yescharacteristic
1593C22C23×#4111yescharacteristic
1594C22C22×2−1+411yescharacteristic
1595C22C22×2−1+411yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22C2×#58511yescharacteristic
1598C22H(7,𝔽2)11yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—24no—
1603C4—22no—
1604C4—22no—
1605C4—24no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—41no—
1610C4—42no—
1611C4—44no—
1612C4—44no—
1613C4—42no—
1614C4—41no—
1615C4—42no—
1616C4—41no—
1617C4—41no—
1618C4—42no—
1619C4—44no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—44no—
1625C4—41no—
1626C4—42no—
1627C4—41no—
1628C4—42no—
1629C4C2×#55214yes—
1630C4#352114yes—
1631C2—28no—
1632C2—42no—
1633C2—81no—
1634C2C22×#55211yescharacteristic
1635C2C2×#352111yescharacteristic
1636C2#6280511yescharacteristic
1637C2#6295111yescharacteristic
1638C2#6300011yescharacteristic
1639C2#6301011yescharacteristic
1640C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#547C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59957C2semidirect
2. #59934C2semidirect
3. #59443C2semidirect
4. #59440C2semidirect
5. #59329C2semidirect
6. #59271C2semidirect
7. #59253C2semidirect
8. #59249C2semidirect
9. #45293C2semidirect
10. #44904C2semidirect
11. #44512C2semidirect
12. #43223C2semidirect
13. #39478C2semidirect
14. #39476C2semidirect
15. #38976C2semidirect
16. #38974C2semidirect
17. #38265C2semidirect
18. #38257C2semidirect
19. #36314C2semidirect
20. #36290C2semidirect
21. #36274C2semidirect
22. #36274C2semidirect
23. #36256C2semidirect
24. #36239C2semidirect
25. #36199C2semidirect
26. #36189C2semidirect
28. #35888C2semidirect
29. #34793C2semidirect
30. C2×#2511C2semidirect
31. #34334C2semidirect
32. #34260C2semidirect
33. #34183C2semidirect
35. #34127C2semidirect

Maximal subgroups

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

subgroupindex
#599572
#599342
#594432
#594402
#593292
#592712
#592532
#592492
#452932
#449042
#445122
#432232
#394782
#394762
#389762
#389742
#382652
#382572
#363142
#362902
#362742
#362562
#362392
#361992
#361892
#360672
#358882
#347932
C2×#25112
#343342
#342602
#341832
C4×#5472
#341272