Finite Group Databasebeta

← #7986704

Subgroups — #7986704

Order 512.

4523 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59924C211yesmaximal, characteristic, complemented
2#59670C212yesmaximal, complemented
3#59668C211yesmaximal, characteristic, complemented
4#59665C211yesmaximal, characteristic, complemented
5#59152C212yesmaximal, complemented
6#51599C214yesmaximal, complemented
7#51595C214yesmaximal, complemented
8#45795C214yesmaximal, complemented
9#45409C212yesmaximal, complemented
10#45190C212yesmaximal, complemented
11#45044C212yesmaximal, complemented
12#44950C212yesmaximal, complemented
13#42497C212yesmaximal
14#42494C212yesmaximal
15#42492C212yesmaximal, complemented
16#42491C212yesmaximal, complemented
17#39691C214yesmaximal, complemented
18#39683C212yesmaximal, complemented
19#39626C211yesmaximal, characteristic, complemented
20#39591C212yesmaximal, complemented
21#39181C211yesmaximal, characteristic, complemented
22#38967C211yesmaximal, characteristic
23#38965C211yesmaximal, characteristic
24#36574C211yesmaximal, characteristic, complemented
25#36466C211yesmaximal, characteristic, complemented
26#36425C212yesmaximal, complemented
27#36407C212yesmaximal
28#36132C211yesmaximal, characteristic
29#35177C212yesmaximal
30#35173C212yesmaximal, complemented
31#34929C211yesmaximal, characteristic
32#34920C211yesmaximal, characteristic, complemented
33#34484C211yesmaximal, characteristic
34#34484C211yesmaximal, characteristic
35C4×#554C211yesmaximal, characteristic
36C2×#557C2212yes—
37C2×#554C2211yescharacteristic
38C2×#533C2212yes—
39C2×#533C2212yes—
40#2859C2212yes—
41#2859C2211yescharacteristic
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2857C2214yes—
45#2857C2214yes—
46#2855C2214yes—
47#2851C2212yes—
48#2841C2214yes—
49#2841C2214yes—
50#2811C2214yes—
51#2806C2214yes—
52#2806C2214yes—
53#2806C2214yes—
54#2806C2214yes—
55#2805C2214yes—
56#2805C2214yes—
57#2799C2214yes—
58#2792C2214yes—
59#2792C2214yes—
60#2791C2214yes—
61#2788C2214yes—
62#2788C2214yes—
63#2774C2214yes—
64#2774C2214yes—
65#2774C2214yes—
66#2768C2214yes—
67#2768C2214yes—
68#2755C2214yes—
69#2755C2214yes—
70#2742C2214yes—
71#2742C2214yes—
72#2734C2214yes—
73#2729C2214yes—
74#2720C2214yes—
75#2713C2214yes—
76#2713C2214yes—
77#2713C2214yes—
78#2713C2214yes—
79#2704C2214yes—
80#2704C2214yes—
81#2704C2214yes—
82#2677C2214yes—
83#2665C2214yes—
84#2665C2214yes—
85#2660C2212yes—
86#2659C2214yes—
87#2659C2214yes—
88#2647C2212yes—
89#2629C2214yes—
90#2629C2212yes—
91#2628C2214yes—
92#2628C2212yes—
93#2590C2212yes—
94#2590C2214yes—
95#2588C2214yes—
96#2588C2214yes—
97#2588C2212yes—
98#2586C2214yes—
99#2585C2214yes—
100#2585C2214yes—
101#2584C2214yes—
102#2584C2212yes—
103#2584C2214yes—
104#2584C2212yes—
105#2584C2212yes—
106#2584C2214yes—
107#2584C2212yes—
108#2584C2211yescharacteristic
109#2584C2212yes—
110#2584C2212yes—
111#2582C2212yes—
112#2581C2212yes—
113#2581C2211yescharacteristic
114#2581C2212yes—
115#2574C2214yes—
116#2574C2214yes—
117#2571C2211yescharacteristic
118#2570C2212yes—
119#2567C2212yes—
120#2567C2214yes—
121#2567C2212yes—
122#2567C2212yes—
123#2567C2212yes—
124#2567C2214yes—
125#2567C2212yes—
126#2565C2211yescharacteristic
127#2563C2212yes—
128#2556C2212yes—
129#2556C2214yes—
130#2556C2214yes—
131#2556C2212yes—
132#2552C2211yescharacteristic
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2552C2212yes—
136#2551C2212yes—
137#2551C2212yes—
138#2551C2211yescharacteristic
139#2551C2212yes—
140#2551C2212yes—
141#2551C2212yes—
142#2551C2211yescharacteristic
143#2551C2211yescharacteristic
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2550C2214yes—
147#2550C2212yes—
148#2550C2212yes—
149#2550C2212yes—
150#2550C2211yescharacteristic
151#2550C2214yes—
152#2550C2212yes—
153#2546C2212yes—
154#2546C2212yes—
155#2546C2214yes—
156#2546C2211yescharacteristic
157#2542C2211yescharacteristic
158#2538C2212yes—
159#2538C2211yescharacteristic
160#2520C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2509C2212yes—
164#2509C2212yes—
165#2509C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2508C2212yes—
169#2508C2211yescharacteristic
170#2507C2212yes—
171#2507C2214yes—
172#2507C2212yes—
173#2507C2212yes—
174#2507C2212yes—
175#2506C2211yescharacteristic
176#2506C2214yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2211yescharacteristic
180#2506C2211yescharacteristic
181#2497C2214yes—
182#2492C2214yes—
183#2492C2212yes—
184#2465C2214yes—
185#2465C2214yes—
186#2465C2214yes—
187#2465C2214yes—
188#2462C2214yes—
189#2462C2214yes—
190#2462C2214yes—
191#2462C2212yes—
192#2454C2212yes—
193#2454C2212yes—
194#2453C2214yes—
195#2453C2211yescharacteristic
196#2453C2212yes—
197#2453C2212yes—
198#2452C2212yes—
199#2452C2212yes—
200#2452C2211yescharacteristic
201#2452C2211yescharacteristic
202#2451C2214yes—
203#2451C2212yes—
204#2451C2212yes—
205#2451C2214yes—
206#2451C2211yescharacteristic
207#2442C2212yes—
208#2441C2212yes—
209#2441C2214yes—
210#2440C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2212yes—
214#2439C2214yes—
215#2438C2214yes—
216#2438C2214yes—
217#2429C2212yes—
218#2402C2212yes—
219#2399C2212yes—
220#2396C2212yes—
221#2396C2212yes—
222#2378C2214yes—
223#2378C2214yes—
224#2370C2212yes—
225#2370C2212yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2369C2211yescharacteristic
234#2369C2212yes—
235#2369C2212yes—
236#2369C2212yes—
237#2368C2214yes—
238#2365C2212yes—
239#2365C2214yes—
240#2365C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2360C2212yes—
244#2355C2211yescharacteristic
245#2355C2212yes—
246#2354C2212yes—
247#2354C2211yescharacteristic
248#2354C2211yescharacteristic
249#2354C2212yes—
250#2351C2212yes—
251#2351C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2211yescharacteristic
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256#2345C2212yes—
257#2344C2212yes—
258#2344C2212yes—
259#2331C2212yes—
260#2331C2212yes—
261#2330C2212yes—
262#2330C2212yes—
263#2323C2214yes—
264#2323C2214yes—
265#2323C2212yes—
266#2323C2212yes—
267#2319C2212yes—
268#2319C2212yes—
269#2316C2212yes—
270#2316C2212yes—
271#2316C2212yes—
272#2316C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2212yes—
281C4×#125C2212yes—
282C4×#125C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×C22⋊Q8C2214yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288#2296C2214yes—
289#2295C2212yes—
290#2295C2211yescharacteristic
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C4⋊C4C2212yes—
299#557—48no—
300#554Q8116yescomplemented
301#533—48no—
302#533—48no—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2314yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#125C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2314yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#399C2312yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#398C2312yes—
400#398C2312yes—
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#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#396C2312yes—
436#396C2314yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#395C2314yes—
446#395C2314yes—
447#395C2312yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#395C2312yes—
467#395C2314yes—
468#395C2312yes—
469#395C2312yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2314yes—
477#393C2314yes—
478#393C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2314yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2312yes—
562#389C2312yes—
563#389C2314yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2314yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2314yes—
609#389C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2314yes—
621#389C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2312yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2314yes—
707#384C2314yes—
708#384C2314yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#382C2314yes—
723#381C2314yes—
724#381C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807#376C2312yes—
808#376C2312yes—
809C2×#95C2314yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—28no—
834C4⋊Q8—48no—
835C4⋊Q8—42no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—48no—
844C4⋊Q8—84no—
845C4⋊Q8—84no—
846C4⋊Q8C2×Q818yes—
847#125—24no—
848#125—24no—
849#125—28no—
850#125—44no—
851#125—44no—
852#125—44no—
853#125—44no—
854#125—44no—
855#125—48no—
856#125—44no—
857#125—48no—
858#125—84no—
859#125—82no—
860#125C2×Q8116yes—
861C22⋊Q8—44no—
862C22⋊Q8—44no—
863C22⋊Q8—44no—
864C22⋊Q8—48no—
865C22⋊Q8—48no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—84no—
869C22⋊Q8C2×Q8132yes—
870C22⋊Q8C2×Q8116yes—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—44no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—44no—
880C4×Q8—42no—
881C4×Q8—48no—
882C4×Q8—48no—
883C4×Q8—48no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—82no—
887C4×Q8—82no—
888C4×Q8C2×Q818yes—
889C4×D4—24no—
890C4×D4—44no—
891C4×D4—42no—
892C4×D4C2×Q8116yes—
893C4×D4C2×Q818yes—
894#117—44no—
895#117—44no—
896#117—48no—
897#117—44no—
898#117—44no—
899#117—84no—
900C2×C4⋊C4—28no—
901C2×C4⋊C4C2×Q8116yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C42—28no—
1025C2×C42—84no—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2412yes—
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2412yes—
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151C24C2512yes—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—24no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—28no—
1160C2×Q8—42no—
1161C2×Q8—41no—
1162C2×Q8—41no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—42no—
1178C2×Q8—44no—
1179C2×Q8—42no—
1180C2×Q8C22×Q814yes—
1181C2×Q8C22×Q818yes—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4C22×Q814yes—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—28no—
1191C22×C4—42no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4C22×Q818yes—
1199C22×C4C22×Q8116yes—
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2512yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2514yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—28no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—41no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4C22×Q814yes—
1331C4⋊C4C22×Q8116yes—
1332C4⋊C4C22×Q818yes—
1333C4⋊C4C22×Q814yes—
1334C4⋊C4C22×Q818yes—
1335C4⋊C4C22×Q818yes—
1336C4⋊C4C22×Q8116yes—
1337C4⋊C42−1+414yes—
1338C4⋊C42−1+414yes—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4C22×Q8116yes—
1355C22⋊C4C22×Q818yes—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—24no—
1366C42—22no—
1367C42—22no—
1368C42—22no—
1369C42—22no—
1370C42—22no—
1371C42—24no—
1372C42—28no—
1373C42—24no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—24no—
1379C42—42no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—41no—
1389C42—41no—
1390C42—44no—
1391C42—44no—
1392C42—41no—
1393C42—41no—
1394C42—42no—
1395C42—41no—
1396C42C22×Q818yes—
1397C42C22×Q814yes—
1398C42H(5,𝔽2)14yes—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23C23×Q814yes—
1406C23C2611yescharacteristic
1407Q8—28no—
1408Q8—48no—
1409Q8—44no—
1410Q8—84no—
1411Q8—84no—
1412Q8—84no—
1413Q8—88no—
1414Q8—84no—
1415Q8—88no—
1416Q8—88no—
1417D4—28no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—24no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—24no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—216no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—416no—
1506C2×C4—48no—
1507C2×C4—84no—
1508C2×C4—88no—
1509C2×C4C23×Q814yes—
1510C2×C4C23×Q812yes—
1511C2×C4C23×Q814yes—
1512C2×C4C23×Q814yes—
1513C2×C4C23×Q818yes—
1514C2×C4C23×Q812yes—
1515C2×C4C23×Q812yes—
1516C2×C4C2×H(5,𝔽2)12yes—
1517C2×C4C2×H(5,𝔽2)12yes—
1518C2×C4C2×H(5,𝔽2)12yes—
1519C2×C4C2×2−1+414yes—
1520C2×C4C2×2−1+414yes—
1521C2×C4C2×2−1+412yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4#58512yes—
1524C2×C4#58512yes—
1525C22—24no—
1526C22—24no—
1527C22—24no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22C24×Q811yescharacteristic
1533C22C22×H(5,𝔽2)11yescharacteristic
1534C22C22×2−1+411yescharacteristic
1535C22C22×2−1+411yescharacteristic
1536C22C2×#58511yescharacteristic
1537C22C2×#58511yescharacteristic
1538C22H(7,𝔽2)11yescharacteristic
1539C4—24no—
1540C4—28no—
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—24no—
1545C4—24no—
1546C4—22no—
1547C4—24no—
1548C4—24no—
1549C4—42no—
1550C4—41no—
1551C4—41no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—44no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—44no—
1563C4—41no—
1564C4—41no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—44no—
1569C4—42no—
1570C4—41no—
1571C4#350214yes—
1572C4#350314yes—
1573C2—44no—
1574C2#6275911yescharacteristic
1575C2C2×#350211yescharacteristic
1576C2C2×#350311yescharacteristic
1577C2#6294411yescharacteristic
1578C2#6295111yescharacteristic
1579C2#6298911yescharacteristic
1580C2#6303811yescharacteristic
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. #59924C2semidirect
2. #59670C2semidirect
3. #59668C2semidirect
4. #59665C2semidirect
5. #59152C2semidirect
6. #51599C2semidirect
7. #51595C2semidirect
8. #45795C2semidirect
9. #45409C2semidirect
10. #45190C2semidirect
11. #45044C2semidirect
12. #44950C2semidirect
15. #42492C2semidirect
16. #42491C2semidirect
17. #39691C2semidirect
18. #39683C2semidirect
19. #39626C2semidirect
20. #39591C2semidirect
21. #39181C2semidirect
24. #36574C2semidirect
25. #36466C2semidirect
26. #36425C2semidirect
30. #35173C2semidirect
32. #34920C2semidirect
300. #554Q8semidirect

Maximal subgroups

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

subgroupindex
#599242
#596702
#596682
#596652
#591522
#515992
#515952
#457952
#454092
#451902
#450442
#449502
#424972
#424942
#424922
#424912
#396912
#396832
#396262
#395912
#391812
#389672
#389652
#365742
#364662
#364252
#364072
#361322
#351772
#351732
#349292
#349202
#344842
C4×#5542