Finite Group Databasebeta

← #7693194

Subgroups — #7693194

Order 512.

5063 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59921C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59569C212yesmaximal, complemented
4#59457C212yesmaximal, complemented
5#59457C211yesmaximal, characteristic, complemented
6#59457C211yesmaximal, characteristic, complemented
7#59453C214yesmaximal, complemented
8#59153C212yesmaximal, complemented
9#45362C212yesmaximal, complemented
10#44947C212yesmaximal, complemented
11#43570C214yesmaximal, complemented
12#43139C214yesmaximal, complemented
13#39985C212yesmaximal, complemented
14#39981C212yesmaximal, complemented
15#39754C211yesmaximal, characteristic, complemented
16#39753C211yesmaximal, characteristic, complemented
17#39648C214yesmaximal, complemented
18#39611C212yesmaximal, complemented
19#36600C211yesmaximal, characteristic, complemented
20#36570C212yesmaximal, complemented
21#36559C211yesmaximal, characteristic, complemented
22#36477C212yesmaximal, complemented
23#36416C211yesmaximal, characteristic, complemented
24#36416C211yesmaximal, characteristic, complemented
25#36219C212yesmaximal, complemented
26#36134C211yesmaximal, characteristic, complemented
27#35952C212yesmaximal, complemented
28#35934C212yesmaximal, complemented
29#34950C211yesmaximal, characteristic, complemented
30#34745C212yesmaximal, complemented
31#34333C212yesmaximal, complemented
32#34330C211yesmaximal, characteristic
33#34330C211yesmaximal, characteristic
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#554C2211yescharacteristic
38C2×#554C2212yes—
39C2×#550C2211yescharacteristic
40C2×#533C2212yes—
41C2×C4×#41C2212yes—
42#2868C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2857C2212yes—
47#2855C2214yes—
48#2851C2212yes—
49#2851C2212yes—
50#2802C2214yes—
51#2791C2214yes—
52#2784C2214yes—
53#2784C2214yes—
54#2780C2214yes—
55#2780C2214yes—
56#2780C2214yes—
57#2780C2214yes—
58#2780C2214yes—
59#2780C2214yes—
60#2774C2214yes—
61#2748C2214yes—
62#2748C2214yes—
63#2732C2214yes—
64#2732C2214yes—
65#2732C2214yes—
66#2713C2214yes—
67#2692C2214yes—
68#2692C2214yes—
69#2683C2214yes—
70#2683C2214yes—
71#2667C2214yes—
72#2665C2214yes—
73#2660C2212yes—
74#2660C2212yes—
75#2608C2214yes—
76#2608C2214yes—
77#2589C2214yes—
78#2589C2214yes—
79#2587C2214yes—
80#2587C2214yes—
81#2587C2214yes—
82#2587C2214yes—
83#2586C2212yes—
84#2586C2212yes—
85#2585C2214yes—
86#2585C2214yes—
87#2584C2212yes—
88#2582C2211yescharacteristic
89#2581C2212yes—
90#2580C2212yes—
91#2580C2212yes—
92#2580C2212yes—
93#2580C2212yes—
94#2579C2214yes—
95#2579C2214yes—
96#2574C2214yes—
97#2574C2214yes—
98#2571C2211yescharacteristic
99#2571C2211yescharacteristic
100#2571C2212yes—
101#2570C2212yes—
102#2570C2212yes—
103#2570C2212yes—
104#2570C2212yes—
105#2569C2214yes—
106#2567C2211yescharacteristic
107#2567C2211yescharacteristic
108#2566C2212yes—
109#2566C2214yes—
110#2566C2212yes—
111#2566C2212yes—
112#2566C2212yes—
113#2566C2212yes—
114#2566C2212yes—
115#2566C2212yes—
116#2566C2212yes—
117#2565C2212yes—
118#2564C2214yes—
119#2564C2214yes—
120#2563C2212yes—
121#2556C2214yes—
122#2556C2214yes—
123#2552C2211yescharacteristic
124#2552C2211yescharacteristic
125#2552C2211yescharacteristic
126#2552C2211yescharacteristic
127#2552C2212yes—
128#2551C2211yescharacteristic
129#2550C2212yes—
130#2549C2214yes—
131#2542C2212yes—
132#2542C2212yes—
133#2538C2212yes—
134#2538C2212yes—
135#2538C2212yes—
136#2538C2212yes—
137#2538C2212yes—
138#2538C2212yes—
139#2538C2212yes—
140#2538C2212yes—
141#2522C2214yes—
142#2522C2214yes—
143#2508C2212yes—
144#2507C2212yes—
145#2507C2211yescharacteristic
146#2507C2211yescharacteristic
147#2506C2212yes—
148#2497C2214yes—
149#2465C2214yes—
150#2465C2214yes—
151#2454C2212yes—
152#2454C2212yes—
153#2454C2212yes—
154#2454C2212yes—
155#2454C2214yes—
156#2453C2212yes—
157#2453C2212yes—
158#2453C2212yes—
159#2452C2212yes—
160#2452C2214yes—
161#2452C2212yes—
162#2452C2212yes—
163#2452C2212yes—
164#2452C2212yes—
165#2452C2212yes—
166#2451C2212yes—
167#2451C2212yes—
168#2451C2211yescharacteristic
169#2451C2211yescharacteristic
170#2450C2214yes—
171#2450C2214yes—
172#2450C2214yes—
173#2450C2214yes—
174#2450C2214yes—
175#2450C2214yes—
176#2449C2214yes—
177#2449C2214yes—
178#2449C2214yes—
179#2449C2214yes—
180#2449C2214yes—
181#2449C2214yes—
182#2441C2212yes—
183#2441C2212yes—
184#2441C2212yes—
185#2441C2212yes—
186#2439C2212yes—
187#2439C2212yes—
188#2438C2214yes—
189#2438C2214yes—
190#2429C2214yes—
191#2429C2214yes—
192#2423C2214yes—
193#2417C2214yes—
194#2399C2212yes—
195#2399C2212yes—
196#2396C2214yes—
197#2396C2214yes—
198#2370C2212yes—
199#2370C2212yes—
200#2370C2212yes—
201#2370C2211yescharacteristic
202#2370C2211yescharacteristic
203#2370C2212yes—
204#2369C2211yescharacteristic
205#2368C2214yes—
206#2368C2214yes—
207#2368C2212yes—
208#2368C2212yes—
209#2366C2212yes—
210#2366C2211yescharacteristic
211#2366C2212yes—
212#2366C2211yescharacteristic
213#2366C2212yes—
214#2366C2211yescharacteristic
215#2365C2212yes—
216#2364C2214yes—
217#2364C2214yes—
218#2363C2212yes—
219#2363C2212yes—
220#2363C2212yes—
221#2363C2214yes—
222#2360C2214yes—
223#2360C2212yes—
224#2357C2212yes—
225#2357C2212yes—
226#2355C2211yescharacteristic
227#2355C2211yescharacteristic
228#2355C2211yescharacteristic
229#2355C2212yes—
230#2355C2212yes—
231#2354C2211yescharacteristic
232#2354C2211yescharacteristic
233#2354C2211yescharacteristic
234#2354C2212yes—
235Q8×C4⋊C4C2212yes—
236Q8×C4⋊C4C2211yescharacteristic
237#2349C2212yes—
238#2349C2212yes—
239#2349C2212yes—
240#2349C2214yes—
241#2349C2211yescharacteristic
242#2349C2212yes—
243#2349C2211yescharacteristic
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247D4×C4⋊C4C2212yes—
248#2345C2214yes—
249#2345C2212yes—
250#2341C2212yes—
251#2339C2212yes—
252#2339C2212yes—
253#2333C2214yes—
254#2333C2214yes—
255#2331C2212yes—
256#2330C2212yes—
257#2329C2214yes—
258#2329C2214yes—
259#2328C2212yes—
260#2328C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2211yescharacteristic
264C4×C4⋊Q8C2212yes—
265C4×C4⋊Q8C2211yescharacteristic
266C4×#127C2211yescharacteristic
267C4×#127C2211yescharacteristic
268C4×#127C2212yes—
269C4×#127C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2211yescharacteristic
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2214yes—
276C4×C22⋊Q8C2214yes—
277C4×C22⋊Q8C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2214yes—
281C4×#121C2212yes—
282#2297C2212yes—
283#2297C2212yes—
284#2296C2212yes—
285#2296C2212yes—
286#2295C2211yescharacteristic
287#2295C2211yescharacteristic
288#2295C2212yes—
289C2×#387C2214yes—
290#2275C2212yes—
291#2275C2212yes—
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2312yes—
300#554—216no—
301#554—28no—
302#554—48no—
303#550Q8116yescomplemented
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#127C2312yes—
315C2×#125C2312yes—
316C2×#125C2311yescharacteristic
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C4×#41—48no—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C22×C4⋊C4C2314yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C42C2312yes—
392C22×C42C2312yes—
393C22×C42C2314yes—
394C22×C42C2312yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
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#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2312yes—
456#395C2312yes—
457#395C2312yes—
458#395C2312yes—
459#395C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2312yes—
465#395C2312yes—
466#395C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2312yes—
483#391C2311yescharacteristic
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2311yescharacteristic
489#391C2312yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2312yes—
494#391C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2311yescharacteristic
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2312yes—
596#387C2312yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
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#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
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#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2312yes—
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#381C2314yes—
712#381C2314yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C2×#95C2312yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—44no—
818C2×#41C2×Q8116yes—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2414yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—28no—
850C4⋊Q8—42no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—82no—
854#127C2×Q818yes—
855#127C2×Q8116yes—
856#125—28no—
857#125—28no—
858#125—24no—
859#125—28no—
860#125—24no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—84no—
865C22⋊Q8—28no—
866C22⋊Q8—216no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8—216no—
870C22⋊Q8—28no—
871C22⋊Q8—48no—
872C22⋊Q8—48no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—84no—
878C22⋊Q8—84no—
879C22⋊Q8—84no—
880#121C2×Q8116yes—
881#121C2×Q8132yes—
882C4×Q8—24no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—42no—
889C4×Q8—48no—
890C4×Q8—42no—
891C4×Q8—44no—
892C4×Q8—48no—
893C4×Q8C2×Q818yes—
894C4×Q8#4118yescomplemented
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—44no—
903C4×D4—48no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—48no—
916C4×D4—48no—
917C4×D4—82no—
918C4×D4—84no—
919C4×D4—82no—
920C4×D4—84no—
921C4×D4C2×Q818yes—
922C4×D4C2×Q8116yes—
923#117—28no—
924#117—48no—
925#117—44no—
926#117—44no—
927C2×C4⋊C4—216no—
928C2×C4⋊C4—28no—
929C2×C4⋊C4—44no—
930C2×C4⋊C4—48no—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C42—48no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42—44no—
1057C2×C42C2414yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24C2512yes—
1172C24C2514yes—
1173#41—432no—
1174C2×Q8—28no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—41no—
1182C2×Q8—42no—
1183C2×Q8—41no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—44no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8C22×Q814yes—
1194C2×Q8C2×#4114yes—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4C22×Q814yes—
1208C2×D4C22×Q818yes—
1209C2×D4C22×Q818yes—
1210C2×D4C22×Q8116yes—
1211C2×D4C22×Q818yes—
1212C2×D4C22×Q8116yes—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—28no—
1217C22×C4—24no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—24no—
1223C22×C4—44no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—44no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—44no—
1234C22×C4—42no—
1235C22×C4—44no—
1236C22×C4—42no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—44no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4C22×Q818yes—
1254C22×C4C22×Q8116yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2514yes—
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C4⋊C4—24no—
1289C4⋊C4—28no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4C22×Q814yes—
1372C4⋊C4C22×Q818yes—
1373C4⋊C4C22×Q814yes—
1374C4⋊C4C2×#4114yes—
1375C4⋊C4C2×#4114yes—
1376C4⋊C4C2×#4114yes—
1377C4⋊C4H(5,𝔽2)14yes—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4C22×Q818yes—
1409C22⋊C4C22×Q8116yes—
1410C42—24no—
1411C42—22no—
1412C42—22no—
1413C42—28no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—22no—
1420C42—22no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—42no—
1432C42—44no—
1433C42—42no—
1434C42—42no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—42no—
1439C42—41no—
1440C42—41no—
1441C42—44no—
1442C42—42no—
1443C42—41no—
1444C42—41no—
1445C42—42no—
1446C42—41no—
1447C42C22×Q818yes—
1448C42C22×Q814yes—
1449C42C2×#4114yes—
1450C42C2×#4114yes—
1451C42C2×#4114yes—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—24no—
1456C23—24no—
1457C23—22no—
1458C23—24no—
1459C23—22no—
1460C23—22no—
1461C23—24no—
1462C23—22no—
1463C23—24no—
1464C23C23×Q814yes—
1465C23C23×Q818yes—
1466C23C2611yescharacteristic
1467Q8—28no—
1468Q8—44no—
1469Q8—48no—
1470Q8—84no—
1471Q8—88no—
1472Q8—84no—
1473Q8—84no—
1474D4—28no—
1475D4—216no—
1476D4—216no—
1477D4—48no—
1478D4—416no—
1479D4—416no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—216no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—416no—
1563C2×C4—48no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—88no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—84no—
1570C2×C4—88no—
1571C2×C4—84no—
1572C2×C4—84no—
1573C2×C4—164no—
1574C2×C4—164no—
1575C2×C4C23×Q812yes—
1576C2×C4C23×Q814yes—
1577C2×C4C23×Q814yes—
1578C2×C4C23×Q814yes—
1579C2×C4C23×Q812yes—
1580C2×C4C23×Q812yes—
1581C2×C4C22×#4112yes—
1582C2×C4C22×#4112yes—
1583C2×C4C22×#4112yes—
1584C2×C4C22×#4112yes—
1585C2×C4C22×#4112yes—
1586C2×C4C22×#4112yes—
1587C2×C4C22×#4112yes—
1588C2×C4C2×H(5,𝔽2)14yes—
1589C2×C4C2×H(5,𝔽2)12yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C2×C4#58512yes—
1593C22—28no—
1594C22—24no—
1595C22—24no—
1596C22—28no—
1597C22—24no—
1598C22—28no—
1599C22—42no—
1600C22—44no—
1601C22—42no—
1602C22—44no—
1603C22—42no—
1604C22—44no—
1605C22—42no—
1606C22—44no—
1607C22C24×Q811yescharacteristic
1608C22C23×#4111yescharacteristic
1609C22C22×H(5,𝔽2)11yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22C2×#58511yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—24no—
1619C4—24no—
1620C4—22no—
1621C4—24no—
1622C4—24no—
1623C4—22no—
1624C4—22no—
1625C4—22no—
1626C4—42no—
1627C4—44no—
1628C4—42no—
1629C4—44no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—41no—
1636C4—42no—
1637C4—44no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4Q8×#4114yes—
1646C4#350114yes—
1647C2—44no—
1648C2—48no—
1649C2C2×Q8×#4111yescharacteristic
1650C2C2×#350111yescharacteristic
1651C2#6281511yescharacteristic
1652C2#6293711yescharacteristic
1653C2#6298611yescharacteristic
1654C2#6298911yescharacteristic
1655C2#6301811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#550C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59921C2semidirect
2. #59823C2semidirect
3. #59569C2semidirect
4. #59457C2semidirect
5. #59457C2semidirect
6. #59457C2semidirect
7. #59453C2semidirect
8. #59153C2semidirect
9. #45362C2semidirect
10. #44947C2semidirect
11. #43570C2semidirect
12. #43139C2semidirect
13. #39985C2semidirect
14. #39981C2semidirect
15. #39754C2semidirect
16. #39753C2semidirect
17. #39648C2semidirect
18. #39611C2semidirect
19. #36600C2semidirect
20. #36570C2semidirect
21. #36559C2semidirect
22. #36477C2semidirect
23. #36416C2semidirect
24. #36416C2semidirect
25. #36219C2semidirect
26. #36134C2semidirect
27. #35952C2semidirect
28. #35934C2semidirect
29. #34950C2semidirect
30. #34745C2semidirect
31. #34333C2semidirect
34. C4×#554C2semidirect
303. #550Q8semidirect
894. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#599212
#598232
#595692
#594572
#594532
#591532
#453622
#449472
#435702
#431392
#399852
#399812
#397542
#397532
#396482
#396112
#366002
#365702
#365592
#364772
#364162
#362192
#361342
#359522
#359342
#349502
#347452
#343332
#343302
C4×#5542
C4×#5502