Finite Group Databasebeta

← #7693198

Subgroups — #7693198

Order 512.

4905 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59935C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic
3#59642C211yesmaximal, characteristic, complemented
4#59527C214yesmaximal, complemented
5#59429C211yesmaximal, characteristic, complemented
6#59429C212yesmaximal, complemented
7#59393C212yesmaximal, complemented
8#59113C212yesmaximal, complemented
9#45362C212yesmaximal
10#44966C212yesmaximal, complemented
11#44277C214yesmaximal, complemented
12#43136C214yesmaximal, complemented
13#39966C214yesmaximal, complemented
14#39749C212yesmaximal, complemented
15#39659C212yesmaximal, complemented
16#39654C212yesmaximal, complemented
17#39618C211yesmaximal, characteristic
18#39616C211yesmaximal, characteristic, complemented
19#36598C211yesmaximal, characteristic, complemented
20#36562C211yesmaximal, characteristic, complemented
21#36547C212yesmaximal, complemented
22#36477C212yesmaximal, complemented
23#36476C211yesmaximal, characteristic, complemented
24#36286C211yesmaximal, characteristic, complemented
25#36278C212yesmaximal, complemented
26#36134C211yesmaximal, characteristic, complemented
27#35952C212yesmaximal, complemented
28#35936C212yesmaximal, complemented
29#34950C211yesmaximal, characteristic, complemented
30#34691C212yesmaximal, complemented
31#34337C211yesmaximal, characteristic, complemented
32#34332C211yesmaximal, characteristic, complemented
33#34329C212yesmaximal
34C4×#559C211yesmaximal, characteristic
35C4×D4×Q8C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#554C2212yes—
40C2×D4×Q8C2211yescharacteristic
41C2×#533C2212yes—
42C22×C4×Q8C2212yes—
43#2868C2211yescharacteristic
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2862C2211yescharacteristic
47#2859C2212yes—
48#2857C2212yes—
49#2855C2214yes—
50#2855C2212yes—
51#2809C2214yes—
52#2807C2214yes—
53#2806C2214yes—
54#2805C2214yes—
55#2790C2214yes—
56#2788C2214yes—
57#2788C2214yes—
58#2788C2214yes—
59#2788C2214yes—
60#2784C2214yes—
61#2784C2214yes—
62#2780C2214yes—
63#2780C2214yes—
64#2768C2214yes—
65#2732C2214yes—
66#2726C2214yes—
67#2720C2214yes—
68#2720C2214yes—
69#2720C2214yes—
70#2692C2214yes—
71#2692C2214yes—
72#2666C2214yes—
73#2665C2214yes—
74#2660C2212yes—
75#2660C2212yes—
76#2612C2214yes—
77#2608C2214yes—
78#2608C2214yes—
79#2607C2214yes—
80#2606C2214yes—
81#2605C2214yes—
82#2590C2214yes—
83#2590C2214yes—
84#2589C2214yes—
85#2589C2214yes—
86#2588C2214yes—
87#2587C2214yes—
88#2587C2214yes—
89#2587C2214yes—
90#2586C2212yes—
91#2586C2214yes—
92#2586C2212yes—
93#2585C2214yes—
94#2583C2214yes—
95#2582C2212yes—
96#2582C2211yescharacteristic
97#2582C2212yes—
98#2581C2212yes—
99#2581C2212yes—
100#2580C2212yes—
101#2580C2212yes—
102#2579C2214yes—
103#2579C2214yes—
104#2574C2214yes—
105#2574C2214yes—
106#2574C2214yes—
107#2571C2212yes—
108#2570C2212yes—
109#2570C2212yes—
110#2570C2212yes—
111#2570C2212yes—
112#2570C2212yes—
113#2570C2212yes—
114#2569C2214yes—
115#2568C2212yes—
116#2568C2211yescharacteristic
117#2567C2211yescharacteristic
118#2567C2212yes—
119#2567C2211yescharacteristic
120#2567C2211yescharacteristic
121#2566C2212yes—
122#2566C2212yes—
123#2566C2212yes—
124#2565C2212yes—
125#2563C2212yes—
126#2563C2211yescharacteristic
127#2556C2214yes—
128#2556C2214yes—
129#2552C2212yes—
130#2552C2212yes—
131#2551C2211yescharacteristic
132#2542C2211yescharacteristic
133#2542C2211yescharacteristic
134#2542C2211yescharacteristic
135#2538C2212yes—
136#2538C2212yes—
137#2538C2212yes—
138#2538C2212yes—
139#2538C2212yes—
140#2522C2214yes—
141#2511C2212yes—
142#2511C2212yes—
143#2511C2212yes—
144#2507C2211yescharacteristic
145#2507C2212yes—
146#2507C2211yescharacteristic
147#2502C2212yes—
148#2497C2214yes—
149#2497C2212yes—
150#2497C2214yes—
151#2497C2214yes—
152#2497C2212yes—
153#2492C2212yes—
154#2492C2212yes—
155#2473C2214yes—
156#2465C2214yes—
157#2465C2214yes—
158#2465C2214yes—
159#2465C2214yes—
160#2462C2214yes—
161#2462C2214yes—
162#2462C2214yes—
163#2462C2214yes—
164#2454C2214yes—
165#2451C2211yescharacteristic
166#2451C2211yescharacteristic
167#2451C2212yes—
168#2451C2212yes—
169#2449C2214yes—
170#2449C2214yes—
171#2446C2212yes—
172#2446C2212yes—
173#2441C2214yes—
174#2440C2212yes—
175#2440C2214yes—
176#2438C2214yes—
177#2434C2212yes—
178#2434C2212yes—
179#2429C2212yes—
180#2429C2212yes—
181#2429C2212yes—
182#2429C2214yes—
183#2429C2212yes—
184#2429C2212yes—
185#2429C2212yes—
186#2423C2212yes—
187#2423C2214yes—
188#2423C2212yes—
189#2417C2212yes—
190#2417C2212yes—
191#2417C2212yes—
192#2417C2212yes—
193#2409C2212yes—
194#2409C2212yes—
195#2399C2212yes—
196#2399C2214yes—
197#2399C2212yes—
198#2396C2214yes—
199#2374C2214yes—
200#2374C2212yes—
201#2374C2212yes—
202#2372C2214yes—
203#2370C2212yes—
204#2370C2212yes—
205#2370C2214yes—
206#2369C2211yescharacteristic
207#2367C2212yes—
208#2367C2212yes—
209#2367C2211yescharacteristic
210#2367C2211yescharacteristic
211#2367C2212yes—
212#2366C2212yes—
213#2366C2211yescharacteristic
214#2365C2212yes—
215#2365C2211yescharacteristic
216#2365C2212yes—
217#2365C2211yescharacteristic
218#2365C2212yes—
219#2360C2212yes—
220#2360C2214yes—
221#2360C2212yes—
222#2360C2212yes—
223#2360C2212yes—
224#2360C2214yes—
225#2360C2212yes—
226#2359C2214yes—
227#2357C2212yes—
228#2357C2212yes—
229#2357C2211yescharacteristic
230#2357C2211yescharacteristic
231#2356C2212yes—
232#2355C2212yes—
233#2355C2211yescharacteristic
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2354C2212yes—
239#2353C2214yes—
240Q8×C4⋊C4C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242Q8×C4⋊C4C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2212yes—
249#2345C2212yes—
250#2345C2212yes—
251#2345C2214yes—
252Q8×C22⋊C4C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2330C2212yes—
256#2330C2214yes—
257#2330C2212yes—
258#2329C2214yes—
259#2328C2212yes—
260#2326C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2212yes—
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2212yes—
266C4×C4⋊Q8C2212yes—
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×#127C2211yescharacteristic
271C4×#124C2212yes—
272C4×#124C2212yes—
273C4×#124C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2214yes—
279C4×C22⋊Q8C2214yes—
280C4×#123C2212yes—
281C4×#123C2214yes—
282C4×#123C2212yes—
283#2295C2212yes—
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288C2×#389C2212yes—
289#2290C2214yes—
290#2276C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C23×Q8C2312yes—
300#559Q8116yescomplemented
301#557—28no—
302#554—28no—
303#554—48no—
304D4×Q8—28no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#123C2312yes—
327C2×#123C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C4×Q8—48no—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2314yes—
363C2×C4×Q8C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×#117C2314yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2314yes—
387C22×C4⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2314yes—
390C22×C42C2312yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#395C2312yes—
448#395C2312yes—
449#395C2312yes—
450#395C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2312yes—
458#395C2312yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2312yes—
463#395C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#391C2312yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#387C2314yes—
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#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#383C2314yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2314yes—
811C2×#95C2314yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C22×Q8—28no—
818C22×Q8—44no—
819C22×Q8—44no—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2414yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C4⋊Q8—28no—
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855#127C2×Q818yes—
856#125—216no—
857#125—28no—
858#125—28no—
859#125—48no—
860#125—48no—
861#124C2×Q818yes—
862#124C2×Q818yescomplemented
863#124C2×Q8116yescomplemented
864#123C2×Q8116yescomplemented
865#123C2×Q8116yescomplemented
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8—216no—
870C22⋊Q8—28no—
871C22⋊Q8—48no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—48no—
880C4×Q8—28no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—42no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×Q8—48no—
890C4×Q8—48no—
891C4×Q8—44no—
892C4×Q8—42no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—48no—
900C4×Q8—44no—
901C4×Q8C2×Q818yescomplemented
902C4×Q8C2×Q818yescomplemented
903C4×Q8#4118yes—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916C4×D4C2×Q818yes—
917C4×D4C2×Q818yescomplemented
918C4×D4C2×Q8116yescomplemented
919#117—48no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—28no—
922C2×C4⋊C4—48no—
923C2×C4⋊C4—48no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C42—44no—
1043C2×C42—48no—
1044C2×C42—44no—
1045C2×C42C2414yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2414yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2411yescharacteristic
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24C2512yes—
1168C24C2512yes—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—28no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—44no—
1185C2×Q8—41no—
1186C2×Q8—41no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—432no—
1197C2×Q8C22×Q814yes—
1198C2×Q8C22×Q814yes—
1199C2×Q8C2×#4114yes—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4C22×Q814yes—
1209C2×D4C22×Q814yes—
1210C2×D4C22×Q818yes—
1211C2×D4C22×Q818yes—
1212C22×C4—24no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—24no—
1222C22×C4—42no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—42no—
1227C22×C4—44no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4C22×Q818yes—
1241C22×C4C22×Q818yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2514yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2514yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2514yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—28no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—42no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4C22×Q814yes—
1355C4⋊C4C22×Q814yes—
1356C4⋊C4C22×Q814yes—
1357C4⋊C4C22×Q818yes—
1358C4⋊C4C22×Q814yes—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4118yes—
1361C4⋊C4H(5,𝔽2)14yes—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4C22×Q818yes—
1387C22⋊C4C22×Q818yes—
1388C22⋊C4C22×Q818yes—
1389C22⋊C4C22×Q818yes—
1390C22⋊C4C22×Q818yes—
1391C22⋊C4C22×Q818yes—
1392C42—28no—
1393C42—24no—
1394C42—24no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—28no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—22no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—24no—
1408C42—22no—
1409C42—22no—
1410C42—44no—
1411C42—42no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42—42no—
1416C42—41no—
1417C42—42no—
1418C42—42no—
1419C42—44no—
1420C42—41no—
1421C42—41no—
1422C42—44no—
1423C42—42no—
1424C42—44no—
1425C42—44no—
1426C42—42no—
1427C42—41no—
1428C42—41no—
1429C42—42no—
1430C42—44no—
1431C42—42no—
1432C42C22×Q814yes—
1433C42C22×Q814yes—
1434C42C22×Q818yes—
1435C42C22×Q814yes—
1436C42C2×#4118yes—
1437C42C2×#4114yes—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23C23×Q814yes—
1451C23C23×Q814yes—
1452C23C2611yescharacteristic
1453Q8—28no—
1454Q8—28no—
1455Q8—44no—
1456Q8—48no—
1457Q8—416no—
1458Q8—48no—
1459Q8—48no—
1460Q8—84no—
1461Q8—84no—
1462Q8—84no—
1463D4—28no—
1464D4—28no—
1465D4—48no—
1466D4—48no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—21no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—48no—
1548C2×C4—48no—
1549C2×C4—416no—
1550C2×C4—48no—
1551C2×C4—48no—
1552C2×C4—88no—
1553C2×C4—88no—
1554C2×C4—84no—
1555C2×C4—84no—
1556C2×C4—164no—
1557C2×C4C23×Q812yes—
1558C2×C4C23×Q812yes—
1559C2×C4C23×Q812yes—
1560C2×C4C23×Q814yes—
1561C2×C4C23×Q812yes—
1562C2×C4C23×Q812yes—
1563C2×C4C23×Q814yes—
1564C2×C4C23×Q812yes—
1565C2×C4C23×Q812yes—
1566C2×C4C22×#4114yes—
1567C2×C4C22×#4112yes—
1568C2×C4C22×#4114yes—
1569C2×C4C22×#4112yes—
1570C2×C4C22×#4112yes—
1571C2×C4C2×H(5,𝔽2)14yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4#58512yes—
1574C2×C4#58512yes—
1575C2×C4#58512yes—
1576C22—24no—
1577C22—24no—
1578C22—24no—
1579C22—24no—
1580C22—24no—
1581C22—24no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22C24×Q811yescharacteristic
1591C22C23×#4111yescharacteristic
1592C22C22×H(5,𝔽2)11yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C222−1+611yescharacteristic
1597C4—22no—
1598C4—24no—
1599C4—22no—
1600C4—22no—
1601C4—24no—
1602C4—22no—
1603C4—24no—
1604C4—22no—
1605C4—24no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—24no—
1610C4—42no—
1611C4—44no—
1612C4—41no—
1613C4—42no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4—41no—
1618C4—42no—
1619C4—44no—
1620C4—42no—
1621C4—44no—
1622C4—41no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4Q8×#4114yes—
1629C4#350614yes—
1630C2—44no—
1631C2—44no—
1632C2C2×Q8×#4111yescharacteristic
1633C2C2×#350611yescharacteristic
1634C2#6281311yescharacteristic
1635C2#6293911yescharacteristic
1636C2Q8×H(5,𝔽2)11yescharacteristic
1637C2#6299511yescharacteristic
1638C2#6301811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59935C2semidirect
3. #59642C2semidirect
4. #59527C2semidirect
5. #59429C2semidirect
6. #59429C2semidirect
7. #59393C2semidirect
8. #59113C2semidirect
10. #44966C2semidirect
11. #44277C2semidirect
12. #43136C2semidirect
13. #39966C2semidirect
14. #39749C2semidirect
15. #39659C2semidirect
16. #39654C2semidirect
18. #39616C2semidirect
19. #36598C2semidirect
20. #36562C2semidirect
21. #36547C2semidirect
22. #36477C2semidirect
23. #36476C2semidirect
24. #36286C2semidirect
25. #36278C2semidirect
26. #36134C2semidirect
27. #35952C2semidirect
28. #35936C2semidirect
29. #34950C2semidirect
30. #34691C2semidirect
31. #34337C2semidirect
32. #34332C2semidirect
35. C4×D4×Q8C2semidirect
300. #559Q8semidirect
862. #124C2×Q8semidirect
863. #124C2×Q8semidirect
864. #123C2×Q8semidirect
865. #123C2×Q8semidirect
901. C4×Q8C2×Q8semidirect
902. C4×Q8C2×Q8semidirect
917. C4×D4C2×Q8semidirect
918. C4×D4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599352
#598232
#596422
#595272
#594292
#593932
#591132
#453622
#449662
#442772
#431362
#399662
#397492
#396592
#396542
#396182
#396162
#365982
#365622
#365472
#364772
#364762
#362862
#362782
#361342
#359522
#359362
#349502
#346912
#343372
#343322
#343292
C4×#5592
C4×D4×Q82