Finite Group Databasebeta

← #7690709

Subgroups — #7690709

Order 512.

4753 conjugacy classes of subgroups.

The subgroup lattice has 1583 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59756C212yesmaximal, complemented
2#59672C211yesmaximal, characteristic, complemented
3#59670C212yesmaximal, complemented
4#59669C212yesmaximal, complemented
5#59668C212yesmaximal, complemented
6#59668C211yesmaximal, characteristic, complemented
7#59668C211yesmaximal, characteristic, complemented
8#59152C214yesmaximal, complemented
9#45409C212yesmaximal, complemented
10#45272C212yesmaximal, complemented
11#43573C214yesmaximal, complemented
12#43568C214yesmaximal, complemented
13#39976C212yesmaximal
14#39972C212yesmaximal
15#39709C214yesmaximal, complemented
16#39691C212yesmaximal, complemented
17#39369C211yesmaximal, characteristic
18#38965C211yesmaximal, characteristic
19#36567C212yesmaximal, complemented
20#36563C211yesmaximal, characteristic, complemented
21#36560C211yesmaximal, characteristic, complemented
22#36497C211yesmaximal, characteristic, complemented
23#36497C211yesmaximal, characteristic, complemented
24#36479C212yesmaximal
25#36407C211yesmaximal, characteristic
26#36133C212yesmaximal, complemented
27#35788C212yesmaximal, complemented
28#35708C212yesmaximal, complemented
29#34929C212yesmaximal
30#34893C211yesmaximal, characteristic
31#34317C211yesmaximal, characteristic
32#34317C211yesmaximal, characteristic
33#34271C212yesmaximal, complemented
34C4×#557C211yesmaximal, characteristic, complemented
35C4×#554C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#557C2212yes—
38C2×#554C2211yescharacteristic
39C2×#544C2212yes—
40C2×#533C2214yes—
41#2868C2211yescharacteristic
42#2864C2212yes—
43#2864C2212yes—
44#2859C2212yes—
45#2859C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2855C2214yes—
49#2809C2214yes—
50#2807C2214yes—
51#2806C2214yes—
52#2806C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2790C2214yes—
56#2788C2214yes—
57#2774C2214yes—
58#2768C2214yes—
59#2768C2214yes—
60#2768C2214yes—
61#2755C2214yes—
62#2726C2214yes—
63#2720C2214yes—
64#2720C2214yes—
65#2713C2214yes—
66#2704C2214yes—
67#2704C2214yes—
68#2677C2214yes—
69#2677C2214yes—
70#2667C2214yes—
71#2667C2214yes—
72#2629C2212yes—
73#2628C2212yes—
74#2608C2214yes—
75#2607C2214yes—
76#2590C2214yes—
77#2590C2214yes—
78#2590C2214yes—
79#2589C2212yes—
80#2588C2214yes—
81#2588C2214yes—
82#2587C2212yes—
83#2585C2214yes—
84#2585C2214yes—
85#2585C2214yes—
86#2584C2214yes—
87#2584C2211yescharacteristic
88#2584C2212yes—
89#2584C2212yes—
90#2584C2212yes—
91#2582C2212yes—
92#2580C2211yescharacteristic
93#2574C2214yes—
94#2574C2214yes—
95#2570C2212yes—
96#2570C2212yes—
97#2568C2212yes—
98#2567C2212yes—
99#2566C2211yescharacteristic
100#2565C2214yes—
101#2565C2212yes—
102#2565C2212yes—
103#2556C2214yes—
104#2556C2214yes—
105#2556C2214yes—
106#2556C2214yes—
107#2552C2212yes—
108#2552C2211yescharacteristic
109#2552C2211yescharacteristic
110#2552C2211yescharacteristic
111#2552C2212yes—
112#2552C2211yescharacteristic
113#2551C2214yes—
114#2551C2212yes—
115#2551C2212yes—
116#2551C2212yes—
117#2551C2211yescharacteristic
118#2551C2211yescharacteristic
119#2550C2212yes—
120#2550C2214yes—
121#2550C2212yes—
122#2550C2212yes—
123#2550C2212yes—
124#2550C2211yescharacteristic
125#2550C2212yes—
126#2550C2212yes—
127#2546C2212yes—
128#2546C2212yes—
129#2546C2212yes—
130#2546C2212yes—
131#2542C2212yes—
132#2538C2212yes—
133#2522C2212yes—
134#2522C2214yes—
135#2520C2214yes—
136#2520C2214yes—
137#2520C2214yes—
138#2509C2211yescharacteristic
139#2508C2212yes—
140#2508C2212yes—
141#2507C2212yes—
142#2507C2212yes—
143#2507C2214yes—
144#2507C2212yes—
145#2507C2214yes—
146#2507C2212yes—
147#2507C2212yes—
148#2507C2214yes—
149#2507C2211yescharacteristic
150#2506C2212yes—
151#2506C2212yes—
152#2506C2212yes—
153#2506C2212yes—
154#2506C2212yes—
155#2506C2212yes—
156#2506C2212yes—
157#2492C2214yes—
158#2465C2214yes—
159#2465C2212yes—
160#2462C2214yes—
161#2462C2214yes—
162#2462C2214yes—
163#2462C2214yes—
164#2462C2214yes—
165#2462C2214yes—
166#2454C2212yes—
167#2454C2212yes—
168#2454C2211yescharacteristic
169#2453C2212yes—
170#2453C2212yes—
171#2452C2212yes—
172#2452C2212yes—
173#2452C2211yescharacteristic
174#2451C2212yes—
175#2451C2214yes—
176#2451C2214yes—
177#2451C2214yes—
178#2451C2214yes—
179#2451C2214yes—
180#2451C2212yes—
181#2446C2214yes—
182#2441C2214yes—
183#2441C2212yes—
184#2441C2212yes—
185#2441C2212yes—
186#2440C2212yes—
187#2440C2212yes—
188#2439C2214yes—
189#2439C2212yes—
190#2438C2214yes—
191#2438C2214yes—
192#2429C2214yes—
193#2396C2214yes—
194#2396C2214yes—
195#2396C2212yes—
196#2396C2212yes—
197#2370C2212yes—
198#2370C2212yes—
199#2370C2214yes—
200#2370C2212yes—
201#2370C2212yes—
202#2370C2212yes—
203#2370C2214yes—
204#2370C2212yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2370C2214yes—
209#2370C2212yes—
210#2370C2211yescharacteristic
211#2370C2211yescharacteristic
212#2370C2212yes—
213#2370C2212yes—
214#2369C2211yescharacteristic
215#2369C2211yescharacteristic
216#2369C2211yescharacteristic
217#2369C2212yes—
218#2369C2212yes—
219#2369C2214yes—
220#2369C2212yes—
221#2369C2212yes—
222#2368C2214yes—
223#2365C2212yes—
224#2365C2212yes—
225#2365C2214yes—
226#2365C2212yes—
227#2365C2211yescharacteristic
228#2365C2212yes—
229#2365C2212yes—
230#2362C2214yes—
231#2362C2214yes—
232#2362C2212yes—
233#2362C2212yes—
234#2360C2212yes—
235#2357C2212yes—
236#2357C2212yes—
237#2355C2211yescharacteristic
238#2355C2211yescharacteristic
239#2355C2212yes—
240#2355C2211yescharacteristic
241#2355C2211yescharacteristic
242#2354C2211yescharacteristic
243#2354C2211yescharacteristic
244#2351C2211yescharacteristic
245#2351C2211yescharacteristic
246Q8×C4⋊C4C2212yes—
247Q8×C4⋊C4C2211yescharacteristic
248#2349C2212yes—
249D4×C4⋊C4C2211yescharacteristic
250#2345C2212yes—
251#2344C2212yes—
252#2344C2212yes—
253#2332C2214yes—
254#2332C2214yes—
255#2329C2214yes—
256#2329C2214yes—
257#2323C2212yes—
258#2323C2212yes—
259#2316C2212yes—
260C4×C4⋊Q8C2211yescharacteristic
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×#125C2212yes—
274C4×#125C2212yes—
275C4×#125C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2214yes—
280C4×C22⋊Q8C2214yes—
281C4×C22⋊Q8C2214yes—
282C4×C22⋊Q8C2212yes—
283#2296C2212yes—
284#2296C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2274C2212yes—
290#2274C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299#557—28no—
300#557—48no—
301#554Q8116yescomplemented
302#544—216no—
303#533—416no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2314yes—
334C2×#125C2312yes—
335C2×#125C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2314yes—
359C2×C4×Q8C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C42C2314yes—
379C22×C42C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#399C2312yes—
390#399C2312yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#396C2312yes—
430#396C2312yes—
431#396C2312yes—
432#396C2314yes—
433#396C2312yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2312yes—
446#395C2314yes—
447#395C2314yes—
448#395C2312yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#393C2314yes—
455#393C2312yes—
456#393C2312yes—
457#393C2314yes—
458#391C2312yes—
459#391C2312yes—
460#391C2312yes—
461#391C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2314yes—
467#391C2314yes—
468#391C2314yes—
469#391C2314yes—
470#391C2312yes—
471#391C2312yes—
472#391C2314yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2312yes—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#389C2311yescharacteristic
509#389C2312yes—
510#389C2311yescharacteristic
511#389C2314yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2314yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2311yescharacteristic
585#389C2312yes—
586#389C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2312yes—
684#384C2312yes—
685#384C2314yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#382C2311yescharacteristic
690#382C2311yescharacteristic
691#382C2312yes—
692#382C2312yes—
693#382C2312yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#381C2314yes—
702#381C2314yes—
703#380C2314yes—
704#380C2314yes—
705#380C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2311yescharacteristic
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2311yescharacteristic
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
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⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2414yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×Q8C2412yes—
823C22×D4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2414yes—
829C4⋊Q8—216no—
830C4⋊Q8—28no—
831C4⋊Q8—28no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—28no—
835C4⋊Q8—28no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—48no—
841C4⋊Q8—48no—
842C4⋊Q8—48no—
843C4⋊Q8C2×Q818yes—
844#125—216no—
845#125—28no—
846#125—28no—
847#125—24no—
848#125—28no—
849#125—216no—
850#125—24no—
851#125—44no—
852#125—42no—
853#125—44no—
854#125—44no—
855#125—48no—
856#125—44no—
857#125—44no—
858#125—48no—
859#125C2×Q8116yes—
860#125#4118yes—
861C22⋊Q8—216no—
862C22⋊Q8—216no—
863C22⋊Q8—28no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8C2×Q8132yes—
868C22⋊Q8C2×Q8116yes—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—28no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—44no—
877C4×Q8—42no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—48no—
881C4×Q8—48no—
882C4×Q8—48no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×Q8—42no—
887C4×Q8—42no—
888C4×Q8—48no—
889C4×Q8C2×Q818yes—
890C4×D4—24no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4C2×Q8116yes—
894C4×D4C2×Q818yes—
895#117—28no—
896#117—28no—
897#117—44no—
898#117—48no—
899#117—48no—
900#117—44no—
901C2×C4⋊C4—28no—
902C2×C4⋊C4C2×Q8116yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C42—48no—
1024C2×C42—44no—
1025C2×C42C2412yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2411yescharacteristic
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154C24C2512yes—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—22no—
1158C2×Q8—28no—
1159C2×Q8—28no—
1160C2×Q8—24no—
1161C2×Q8—22no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—28no—
1165C2×Q8—22no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—41no—
1170C2×Q8—42no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8C22×Q814yes—
1178C2×Q8C22×Q818yes—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4C22×Q814yes—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—28no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4C22×Q818yes—
1196C22×C4C22×Q8116yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—28no—
1266C4⋊C4—22no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—41no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—41no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4C22×Q814yes—
1322C4⋊C4C22×Q8116yes—
1323C4⋊C4C22×Q818yes—
1324C4⋊C4C22×Q814yes—
1325C4⋊C4C22×Q818yes—
1326C4⋊C4C22×Q818yes—
1327C4⋊C4C22×Q8116yes—
1328C4⋊C4C2×#4114yes—
1329C4⋊C4C2×#4114yes—
1330C4⋊C4C2×#4118yes—
1331C4⋊C4C2×#4118yes—
1332C4⋊C4H(5,𝔽2)14yes—
1333C4⋊C42−1+414yes—
1334C22⋊C4—24no—
1335C22⋊C4—28no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4C22×Q8116yes—
1350C22⋊C4C22×Q818yes—
1351C42—28no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—22no—
1356C42—24no—
1357C42—22no—
1358C42—24no—
1359C42—28no—
1360C42—24no—
1361C42—24no—
1362C42—22no—
1363C42—22no—
1364C42—22no—
1365C42—22no—
1366C42—22no—
1367C42—22no—
1368C42—24no—
1369C42—22no—
1370C42—24no—
1371C42—22no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—22no—
1376C42—22no—
1377C42—24no—
1378C42—22no—
1379C42—42no—
1380C42—42no—
1381C42—44no—
1382C42—44no—
1383C42—42no—
1384C42—42no—
1385C42—41no—
1386C42—44no—
1387C42—42no—
1388C42—41no—
1389C42—41no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C42—42no—
1395C42—42no—
1396C42—42no—
1397C42—44no—
1398C42—44no—
1399C42C22×Q818yes—
1400C42C22×Q814yes—
1401C42C2×#4114yes—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23C23×Q814yes—
1409C23C2611yescharacteristic
1410Q8—28no—
1411Q8—48no—
1412Q8—48no—
1413Q8—48no—
1414Q8—44no—
1415Q8—88no—
1416Q8—88no—
1417Q8—88no—
1418D4—28no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—24no—
1445C2×C4—216no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—24no—
1454C2×C4—21no—
1455C2×C4—24no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
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—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—416no—
1504C2×C4—48no—
1505C2×C4—88no—
1506C2×C4—84no—
1507C2×C4C23×Q814yes—
1508C2×C4C23×Q812yes—
1509C2×C4C23×Q814yes—
1510C2×C4C23×Q814yes—
1511C2×C4C23×Q818yes—
1512C2×C4C23×Q812yes—
1513C2×C4C23×Q812yes—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4114yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4112yes—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×H(5,𝔽2)12yes—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×2−1+414yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4#58512yes—
1525C2×C4#58512yes—
1526C22—24no—
1527C22—24no—
1528C22—24no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22C24×Q811yescharacteristic
1534C22C23×#4111yescharacteristic
1535C22C22×H(5,𝔽2)11yescharacteristic
1536C22C22×2−1+411yescharacteristic
1537C22C2×#58511yescharacteristic
1538C22C2×#58511yescharacteristic
1539C222−1+611yescharacteristic
1540C4—24no—
1541C4—28no—
1542C4—22no—
1543C4—24no—
1544C4—22no—
1545C4—22no—
1546C4—24no—
1547C4—22no—
1548C4—24no—
1549C4—22no—
1550C4—22no—
1551C4—24no—
1552C4—24no—
1553C4—41no—
1554C4—42no—
1555C4—41no—
1556C4—41no—
1557C4—42no—
1558C4—44no—
1559C4—42no—
1560C4—44no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—44no—
1565C4—41no—
1566C4—42no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4Q8×#4114yes—
1573C4#350214yes—
1574C2—44no—
1575C2C2×Q8×#4111yescharacteristic
1576C2C2×#350211yescharacteristic
1577C2#6280011yescharacteristic
1578C2#6293911yescharacteristic
1579C2Q8×H(5,𝔽2)11yescharacteristic
1580C2#6300111yescharacteristic
1581C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59756C2semidirect
2. #59672C2semidirect
3. #59670C2semidirect
4. #59669C2semidirect
5. #59668C2semidirect
6. #59668C2semidirect
7. #59668C2semidirect
8. #59152C2semidirect
9. #45409C2semidirect
10. #45272C2semidirect
11. #43573C2semidirect
12. #43568C2semidirect
15. #39709C2semidirect
16. #39691C2semidirect
19. #36567C2semidirect
20. #36563C2semidirect
21. #36560C2semidirect
22. #36497C2semidirect
23. #36497C2semidirect
26. #36133C2semidirect
27. #35788C2semidirect
28. #35708C2semidirect
33. #34271C2semidirect
34. C4×#557C2semidirect
301. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#597562
#596722
#596702
#596692
#596682
#591522
#454092
#452722
#435732
#435682
#399762
#399722
#397092
#396912
#393692
#389652
#365672
#365632
#365602
#364972
#364792
#364072
#361332
#357882
#357082
#349292
#348932
#343172
#342712
C4×#5572
C4×#5542