Finite Group Databasebeta

← #7986134

Subgroups — #7986134

Order 512.

4505 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59922C212yesmaximal, complemented
2#59828C211yesmaximal, characteristic, complemented
3#59668C212yesmaximal, complemented
4#59459C211yesmaximal, characteristic, complemented
5#59456C211yesmaximal, characteristic, complemented
6#48855C214yesmaximal, complemented
7#47975C214yesmaximal, complemented
8#45797C214yesmaximal, complemented
9#45363C212yesmaximal, complemented
10#45272C212yesmaximal, complemented
11#45190C212yesmaximal, complemented
12#44949C212yesmaximal, complemented
13#42816C212yesmaximal, complemented
14#42816C212yesmaximal, complemented
15#42496C212yesmaximal
16#42495C212yesmaximal
17#39697C214yesmaximal, complemented
18#39693C212yesmaximal, complemented
19#39637C212yesmaximal, complemented
20#39370C211yesmaximal, characteristic
21#39183C211yesmaximal, characteristic, complemented
22#39181C211yesmaximal, characteristic, complemented
23#38965C211yesmaximal, characteristic
24#36600C211yesmaximal, characteristic, complemented
25#36574C211yesmaximal, characteristic, complemented
26#36477C212yesmaximal
27#36435C212yesmaximal, complemented
28#36416C211yesmaximal, characteristic
29#35175C212yesmaximal
30#35154C212yesmaximal, complemented
31#34950C211yesmaximal, characteristic, complemented
32#34893C211yesmaximal, characteristic
33#34487C211yesmaximal, characteristic
34#34487C211yesmaximal, characteristic
35C4×D4×Q8C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×#544C2212yes—
39C22×C4×Q8C2212yes—
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2212yes—
44#2855C2214yes—
45#2855C2214yes—
46#2851C2212yes—
47#2851C2214yes—
48#2841C2214yes—
49#2841C2214yes—
50#2809C2214yes—
51#2809C2214yes—
52#2806C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2806C2214yes—
56#2805C2214yes—
57#2802C2214yes—
58#2802C2214yes—
59#2799C2214yes—
60#2799C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2791C2214yes—
64#2790C2214yes—
65#2790C2214yes—
66#2788C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2768C2214yes—
70#2768C2214yes—
71#2755C2214yes—
72#2742C2214yes—
73#2729C2214yes—
74#2729C2214yes—
75#2726C2214yes—
76#2726C2214yes—
77#2720C2214yes—
78#2713C2214yes—
79#2713C2214yes—
80#2704C2214yes—
81#2704C2214yes—
82#2677C2214yes—
83#2667C2214yes—
84#2667C2214yes—
85#2665C2214yes—
86#2665C2214yes—
87#2647C2212yes—
88#2647C2212yes—
89#2629C2212yes—
90#2629C2212yes—
91#2627C2214yes—
92#2627C2214yes—
93#2608C2214yes—
94#2608C2214yes—
95#2590C2214yes—
96#2589C2212yes—
97#2589C2214yes—
98#2589C2214yes—
99#2588C2214yes—
100#2587C2214yes—
101#2587C2214yes—
102#2587C2214yes—
103#2587C2214yes—
104#2587C2212yes—
105#2586C2212yes—
106#2586C2214yes—
107#2586C2212yes—
108#2585C2214yes—
109#2585C2214yes—
110#2585C2214yes—
111#2585C2214yes—
112#2585C2214yes—
113#2584C2212yes—
114#2584C2212yes—
115#2584C2212yes—
116#2584C2211yescharacteristic
117#2584C2212yes—
118#2584C2212yes—
119#2582C2212yes—
120#2582C2211yescharacteristic
121#2581C2212yes—
122#2581C2214yes—
123#2581C2212yes—
124#2580C2212yes—
125#2580C2211yescharacteristic
126#2574C2214yes—
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2567C2212yes—
133#2567C2211yescharacteristic
134#2567C2212yes—
135#2567C2211yescharacteristic
136#2566C2212yes—
137#2566C2211yescharacteristic
138#2565C2212yes—
139#2565C2212yes—
140#2565C2214yes—
141#2556C2214yes—
142#2552C2212yes—
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2552C2211yescharacteristic
146#2552C2211yescharacteristic
147#2552C2211yescharacteristic
148#2551C2212yes—
149#2551C2211yescharacteristic
150#2551C2214yes—
151#2551C2211yescharacteristic
152#2550C2211yescharacteristic
153#2550C2212yes—
154#2546C2212yes—
155#2546C2212yes—
156#2546C2212yes—
157#2538C2212yes—
158#2538C2212yes—
159#2522C2212yes—
160#2520C2214yes—
161#2509C2212yes—
162#2509C2212yes—
163#2509C2212yes—
164#2509C2211yescharacteristic
165#2509C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2508C2212yes—
169#2507C2212yes—
170#2507C2211yescharacteristic
171#2507C2214yes—
172#2507C2211yescharacteristic
173#2507C2214yes—
174#2507C2211yescharacteristic
175#2507C2212yes—
176#2507C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2497C2214yes—
181#2465C2212yes—
182#2462C2214yes—
183#2454C2212yes—
184#2454C2211yescharacteristic
185#2453C2212yes—
186#2453C2212yes—
187#2453C2212yes—
188#2453C2214yes—
189#2453C2212yes—
190#2453C2214yes—
191#2453C2212yes—
192#2453C2212yes—
193#2453C2212yes—
194#2453C2212yes—
195#2453C2214yes—
196#2452C2211yescharacteristic
197#2452C2212yes—
198#2451C2212yes—
199#2451C2214yes—
200#2451C2212yes—
201#2451C2214yes—
202#2451C2212yes—
203#2451C2212yes—
204#2451C2211yescharacteristic
205#2451C2214yes—
206#2451C2211yescharacteristic
207#2451C2212yes—
208#2446C2214yes—
209#2442C2212yes—
210#2442C2214yes—
211#2441C2212yes—
212#2441C2212yes—
213#2440C2214yes—
214#2440C2212yes—
215#2439C2212yes—
216#2439C2212yes—
217#2429C2214yes—
218#2399C2212yes—
219#2399C2212yes—
220#2396C2212yes—
221#2396C2212yes—
222#2378C2214yes—
223#2378C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2369C2214yes—
231#2369C2212yes—
232#2369C2212yes—
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2365C2211yescharacteristic
236#2365C2211yescharacteristic
237#2362C2212yes—
238#2362C2212yes—
239#2360C2214yes—
240#2360C2212yes—
241#2357C2212yes—
242#2357C2212yes—
243#2355C2211yescharacteristic
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2355C2212yes—
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249#2351C2212yes—
250#2351C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2212yes—
253Q8×C4⋊C4C2212yes—
254D4×C4⋊C4C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259#2332C2214yes—
260#2332C2214yes—
261#2331C2212yes—
262#2331C2212yes—
263#2331C2212yes—
264#2330C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2319C2212yes—
268#2319C2212yes—
269#2316C2212yes—
270#2310C2212yes—
271#2310C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2212yes—
283C4×#125C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2214yes—
286C4×C22⋊Q8C2214yes—
287C4×C22⋊Q8C2212yes—
288#2296C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2295C2212yes—
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C23×Q8C2312yes—
300#557—48no—
301D4×Q8Q8116yescomplemented
302#544—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C4×Q8—48no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2314yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2314yes—
365C22×C42C2314yes—
366C22×C42C2312yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#399C2314yes—
386#399C2312yes—
387#399C2314yes—
388#399C2312yes—
389#398C2312yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2312yes—
436#396C2312yes—
437#396C2312yes—
438#396C2312yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2312yes—
448#395C2312yes—
449#395C2312yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2312yes—
459#395C2314yes—
460#395C2312yes—
461#395C2312yes—
462#395C2314yes—
463#395C2312yes—
464#395C2312yes—
465#393C2312yes—
466#393C2314yes—
467#393C2314yes—
468#393C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2311yescharacteristic
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2314yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2314yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2312yes—
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#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2312yes—
710#384C2314yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C22×Q8—44no—
815C22×Q8—44no—
816C22×Q8C2×Q8116yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2414yes—
826C22×D4C2411yescharacteristic
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—42no—
835C4⋊Q8—42no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—48no—
840C4⋊Q8—48no—
841C4⋊Q8—48no—
842C4⋊Q8C2×Q818yes—
843C4⋊Q8C2×Q8116yes—
844#125—28no—
845#125—28no—
846#125—24no—
847#125—44no—
848#125—42no—
849#125—44no—
850#125—44no—
851#125—44no—
852#125—44no—
853#125—48no—
854#125—48no—
855#125—48no—
856C22⋊Q8—44no—
857C22⋊Q8—48no—
858C22⋊Q8—48no—
859C22⋊Q8—48no—
860C22⋊Q8C2×Q8116yes—
861C22⋊Q8C2×Q8132yes—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—42no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—48no—
871C4×Q8—48no—
872C4×Q8—42no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×Q8—42no—
878C4×Q8—48no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8C2×Q818yes—
882C4×D4—24no—
883C4×D4—42no—
884C4×D4—44no—
885C4×D4C2×Q818yes—
886C4×D4C2×Q8116yes—
887#117—44no—
888#117—44no—
889#117—44no—
890#117—44no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—48no—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2411yescharacteristic
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42—44no—
1015C2×C42—48no—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2414yes—
1048C2×C42C2414yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2412yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2512yes—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—24no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—24no—
1153C2×Q8—44no—
1154C2×Q8—41no—
1155C2×Q8—42no—
1156C2×Q8—41no—
1157C2×Q8—44no—
1158C2×Q8—42no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—44no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—432no—
1169C2×Q8C22×Q814yes—
1170C2×Q8C22×Q818yes—
1171C2×Q8C22×Q8116yes—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4C22×Q814yes—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—42no—
1180C22×C4—44no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4C22×Q818yes—
1189C22×C4C22×Q8116yes—
1190C22×C4C2511yescharacteristic
1191C22×C4C2511yescharacteristic
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2514yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2514yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C4⋊C4—28no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—28no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—41no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—41no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4C22×Q814yes—
1322C4⋊C4C22×Q818yes—
1323C4⋊C4C22×Q818yes—
1324C4⋊C4C22×Q814yes—
1325C4⋊C4C22×Q8116yes—
1326C4⋊C4C22×Q818yes—
1327C4⋊C4H(5,𝔽2)14yes—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—44no—
1343C22⋊C4C22×Q818yes—
1344C22⋊C4C22×Q8116yes—
1345C42—24no—
1346C42—22no—
1347C42—28no—
1348C42—24no—
1349C42—22no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—24no—
1361C42—22no—
1362C42—22no—
1363C42—24no—
1364C42—22no—
1365C42—44no—
1366C42—42no—
1367C42—44no—
1368C42—42no—
1369C42—42no—
1370C42—41no—
1371C42—44no—
1372C42—41no—
1373C42—41no—
1374C42—44no—
1375C42—44no—
1376C42—41no—
1377C42—41no—
1378C42—42no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—42no—
1384C42—44no—
1385C42C22×Q818yes—
1386C42C22×Q814yes—
1387C422−1+414yes—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23C23×Q814yes—
1395C23C2611yescharacteristic
1396Q8—28no—
1397Q8—216no—
1398Q8—416no—
1399Q8—48no—
1400Q8—44no—
1401Q8—84no—
1402Q8—84no—
1403Q8—84no—
1404Q8—164no—
1405D4—28no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—24no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—24no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—216no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—24no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—416no—
1495C2×C4—48no—
1496C2×C4—88no—
1497C2×C4—84no—
1498C2×C4C23×Q812yes—
1499C2×C4C23×Q814yes—
1500C2×C4C23×Q814yes—
1501C2×C4C23×Q814yes—
1502C2×C4C23×Q818yes—
1503C2×C4C23×Q812yes—
1504C2×C4C23×Q812yes—
1505C2×C4C2×H(5,𝔽2)14yes—
1506C2×C4C2×H(5,𝔽2)12yes—
1507C2×C4C2×2−1+412yes—
1508C2×C4C2×2−1+412yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4#58512yes—
1511C2×C4#58512yes—
1512C2×C4#58512yes—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22C24×Q811yescharacteristic
1521C22C22×H(5,𝔽2)11yescharacteristic
1522C22C22×2−1+411yescharacteristic
1523C22C2×#58511yescharacteristic
1524C22C2×#58511yescharacteristic
1525C22C2×#58511yescharacteristic
1526C222−1+611yescharacteristic
1527C4—22no—
1528C4—24no—
1529C4—22no—
1530C4—24no—
1531C4—22no—
1532C4—24no—
1533C4—24no—
1534C4—28no—
1535C4—22no—
1536C4—42no—
1537C4—44no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—42no—
1542C4—44no—
1543C4—42no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—41no—
1549C4—41no—
1550C4—44no—
1551C4—42no—
1552C4—41no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—41no—
1559C4#350114yes—
1560C4#350214yes—
1561C2—44no—
1562C2#6276111yescharacteristic
1563C2C2×#350111yescharacteristic
1564C2C2×#350211yescharacteristic
1565C2#6291311yescharacteristic
1566C2#6293911yescharacteristic
1567C2#6300411yescharacteristic
1568C2#6301811yescharacteristic
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. #59922C2semidirect
2. #59828C2semidirect
3. #59668C2semidirect
4. #59459C2semidirect
5. #59456C2semidirect
6. #48855C2semidirect
7. #47975C2semidirect
8. #45797C2semidirect
9. #45363C2semidirect
10. #45272C2semidirect
11. #45190C2semidirect
12. #44949C2semidirect
13. #42816C2semidirect
14. #42816C2semidirect
17. #39697C2semidirect
18. #39693C2semidirect
19. #39637C2semidirect
21. #39183C2semidirect
22. #39181C2semidirect
24. #36600C2semidirect
25. #36574C2semidirect
27. #36435C2semidirect
30. #35154C2semidirect
31. #34950C2semidirect
301. D4×Q8Q8semidirect

Maximal subgroups

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

subgroupindex
#599222
#598282
#596682
#594592
#594562
#488552
#479752
#457972
#453632
#452722
#451902
#449492
#428162
#424962
#424952
#396972
#396932
#396372
#393702
#391832
#391812
#389652
#366002
#365742
#364772
#364352
#364162
#351752
#351542
#349502
#348932
#344872
C4×D4×Q82