Finite Group Databasebeta

← #7712482

Subgroups — #7712482

Order 512.

4748 conjugacy classes of subgroups.

The subgroup lattice has 1833 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59580C212yesmaximal, complemented
2#59507C212yesmaximal, complemented
3#59121C212yesmaximal, complemented
4#59120C212yesmaximal, complemented
5#46082C212yesmaximal, complemented
6#46072C212yesmaximal, complemented
7#45715C212yesmaximal, complemented
8#45688C212yesmaximal, complemented
9#40130C212yesmaximal, complemented
10#40058C212yesmaximal, complemented
11#40034C212yesmaximal, complemented
12#39962C212yesmaximal, complemented
13#39236C212yesmaximal, complemented
14#39226C212yesmaximal, complemented
15#39083C212yesmaximal, complemented
16#39080C212yesmaximal, complemented
17#39008C212yesmaximal, complemented
18#38996C212yesmaximal, complemented
19#38926C212yesmaximal, complemented
20#38914C212yesmaximal, complemented
21#37571C212yesmaximal, complemented
22#37370C212yesmaximal, complemented
23#37360C212yesmaximal, complemented
24#36640C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36574C211yesmaximal, characteristic, complemented
27#36573C211yesmaximal, characteristic, complemented
28#36211C211yesmaximal, characteristic, complemented
29#36210C211yesmaximal, characteristic, complemented
30#36189C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#36182C211yesmaximal, characteristic, complemented
33#36181C211yesmaximal, characteristic, complemented
34#35288C211yesmaximal, characteristic, complemented
35#35288C211yesmaximal, characteristic, complemented
36#35286C211yesmaximal, characteristic, complemented
37#35286C211yesmaximal, characteristic, complemented
38#34483C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#553C2212yes—
41C2×#553C2212yes—
42C2×#552C2212yes—
43C2×#529C2211yescharacteristic
44C2×#529C2212yes—
45#2864C2212yes—
46#2864C2212yes—
47#2861C2212yes—
48#2860C2212yes—
49#2860C2212yes—
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2211yescharacteristic
54#2859C2211yescharacteristic
55#2859C2211yescharacteristic
56#2859C2211yescharacteristic
57#2859C2211yescharacteristic
58#2859C2211yescharacteristic
59#2858C2211yescharacteristic
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2857C2211yescharacteristic
63#2856C2211yescharacteristic
64#2856C2211yescharacteristic
65#2856C2211yescharacteristic
66#2854C2212yes—
67#2854C2212yes—
68#2851C2212yes—
69#2851C2212yes—
70#2851C2212yes—
71#2851C2212yes—
72#2850C2212yes—
73#2836C2214yes—
74#2831C2214yes—
75#2796C2214yes—
76#2796C2214yes—
77#2793C2214yes—
78#2793C2214yes—
79#2787C2214yes—
80#2783C2214yes—
81#2782C2214yes—
82#2781C2214yes—
83#2773C2214yes—
84#2770C2214yes—
85#2765C2214yes—
86#2750C2214yes—
87#2750C2214yes—
88#2750C2214yes—
89#2746C2214yes—
90#2744C2214yes—
91#2744C2214yes—
92#2743C2214yes—
93#2741C2214yes—
94#2740C2214yes—
95#2738C2214yes—
96#2724C2214yes—
97#2723C2214yes—
98#2721C2214yes—
99#2718C2214yes—
100#2708C2214yes—
101#2706C2214yes—
102#2695C2214yes—
103#2693C2214yes—
104#2691C2214yes—
105#2686C2214yes—
106#2671C2214yes—
107#2664C2214yes—
108#2652C2214yes—
109#2652C2214yes—
110#2650C2214yes—
111#2647C2212yes—
112#2647C2212yes—
113#2647C2212yes—
114#2647C2212yes—
115#2644C2212yes—
116#2644C2212yes—
117#2624C2212yes—
118#2624C2212yes—
119#2601C2214yes—
120#2596C2214yes—
121#2584C2212yes—
122#2584C2212yes—
123#2581C2212yes—
124#2580C2212yes—
125#2580C2212yes—
126#2580C2212yes—
127#2577C2214yes—
128#2575C2214yes—
129#2571C2212yes—
130#2571C2212yes—
131#2571C2212yes—
132#2571C2212yes—
133#2570C2212yes—
134#2566C2212yes—
135#2566C2212yes—
136#2565C2212yes—
137#2562C2214yes—
138#2562C2212yes—
139#2553C2214yes—
140#2552C2212yes—
141#2552C2212yes—
142#2552C2212yes—
143#2552C2212yes—
144#2535C2212yes—
145#2519C2214yes—
146#2514C2212yes—
147#2513C2212yes—
148#2513C2212yes—
149#2513C2212yes—
150#2513C2212yes—
151#2512C2212yes—
152#2512C2212yes—
153#2512C2212yes—
154#2512C2212yes—
155#2511C2212yes—
156#2509C2212yes—
157#2509C2212yes—
158#2509C2212yes—
159#2508C2212yes—
160#2508C2212yes—
161#2507C2212yes—
162#2506C2212yes—
163#2506C2212yes—
164#2504C2212yes—
165#2504C2212yes—
166#2503C2212yes—
167#2500C2212yes—
168#2500C2212yes—
169#2499C2212yes—
170#2497C2212yes—
171#2496C2212yes—
172#2496C2212yes—
173#2496C2214yes—
174#2495C2212yes—
175#2494C2212yes—
176#2494C2212yes—
177#2493C2214yes—
178#2490C2212yes—
179#2490C2212yes—
180#2490C2212yes—
181#2490C2212yes—
182#2487C2212yes—
183#2486C2212yes—
184#2486C2212yes—
185#2485C2212yes—
186#2479C2214yes—
187#2478C2214yes—
188#2475C2214yes—
189#2468C2214yes—
190#2468C2214yes—
191#2466C2214yes—
192#2455C2214yes—
193#2454C2212yes—
194#2454C2212yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2454C2212yes—
200#2454C2212yes—
201#2453C2212yes—
202#2453C2212yes—
203#2448C2212yes—
204#2448C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2442C2212yes—
208#2442C2212yes—
209#2442C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2442C2212yes—
213#2442C2212yes—
214#2442C2212yes—
215#2442C2212yes—
216#2441C2212yes—
217#2427C2212yes—
218#2427C2212yes—
219#2426C2212yes—
220#2426C2212yes—
221#2423C2212yes—
222#2422C2214yes—
223#2422C2212yes—
224#2422C2212yes—
225#2422C2212yes—
226#2422C2212yes—
227#2421C2212yes—
228#2420C2212yes—
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2419C2214yes—
233#2417C2212yes—
234#2416C2212yes—
235#2416C2212yes—
236#2416C2212yes—
237#2416C2212yes—
238#2415C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2383C2214yes—
242#2377C2214yes—
243#2370C2212yes—
244#2370C2212yes—
245#2370C2212yes—
246#2363C2212yes—
247#2363C2212yes—
248#2362C2212yes—
249#2361C2212yes—
250#2361C2212yes—
251#2361C2212yes—
252#2361C2212yes—
253#2360C2212yes—
254#2359C2214yes—
255#2357C2212yes—
256#2354C2214yes—
257#2352C2212yes—
258#2351C2212yes—
259#2349C2212yes—
260#2349C2212yes—
261#2349C2212yes—
262#2347C2212yes—
263#2345C2212yes—
264#2344C2212yes—
265#2344C2212yes—
266#2335C2214yes—
267#2334C2214yes—
268#2324C2214yes—
269#2324C2212yes—
270#2324C2212yes—
271#2319C2212yes—
272#2319C2212yes—
273#2318C2214yes—
274#2317C2212yes—
275#2317C2212yes—
276#2316C2212yes—
277#2316C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#125C2212yes—
286C4×#125C2212yes—
287C4×#125C2212yes—
288C4×#125C2212yes—
289C4×#125C2211yescharacteristic
290C4×#126C2211yescharacteristic
291C4×#126C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#124C2212yes—
295C4×#124C2211yescharacteristic
296C4×#124C2211yescharacteristic
297C4×C22⋊Q8C2211yescharacteristic
298C4×C22⋊Q8C2211yescharacteristic
299C4×#123C2211yescharacteristic
300C4×#123C2211yescharacteristic
301C4×#123C2211yescharacteristic
302C4×#123C2211yescharacteristic
303C4×#121C2212yes—
304C4×#121C2212yes—
305C4×#121C2211yescharacteristic
306C4×#121C2211yescharacteristic
307#2298C2211yescharacteristic
308#2298C2211yescharacteristic
309#2296C2212yes—
310#2296C2212yes—
311#2295C2211yescharacteristic
312#2293C2212yes—
313#2293C2212yes—
314#2293C2211yescharacteristic
315#2290C2211yescharacteristic
316#2290C2211yescharacteristic
317#2285C2211yescharacteristic
318#2285C2211yescharacteristic
319#2285C2211yescharacteristic
320#2285C2211yescharacteristic
321C2×#384C2211yescharacteristic
322C2×#384C2211yescharacteristic
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331#553—216no—
332#553—48no—
333#552—48no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×#127C2311yescharacteristic
336#529—28no—
337#529—48no—
338C2×#126C2311yescharacteristic
339C2×#126C2311yescharacteristic
340C2×#126C2314yes—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2314yes—
344C2×#125C2311yescharacteristic
345C2×#125C2312yes—
346C2×#125C2312yes—
347C2×#125C2312yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2314yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#124C2311yescharacteristic
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#123C2314yes—
359C2×#123C2311yescharacteristic
360C2×#123C2311yescharacteristic
361C2×#123C2314yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2314yes—
415C2×#117C2314yes—
416C2×#117C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432#401C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#395C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#393C2314yes—
511#392C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#388C2311yescharacteristic
611#388C2311yescharacteristic
612#388C2311yescharacteristic
613#388C2311yescharacteristic
614#388C2311yescharacteristic
615#388C2311yescharacteristic
616#388C2311yescharacteristic
617#388C2311yescharacteristic
618#388C2311yescharacteristic
619#388C2311yescharacteristic
620#388C2311yescharacteristic
621#388C2311yescharacteristic
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2311yescharacteristic
650#388C2311yescharacteristic
651#388C2311yescharacteristic
652#388C2311yescharacteristic
653#387C2311yescharacteristic
654#387C2311yescharacteristic
655#387C2311yescharacteristic
656#387C2311yescharacteristic
657#387C2311yescharacteristic
658#387C2311yescharacteristic
659#387C2311yescharacteristic
660#387C2311yescharacteristic
661#387C2311yescharacteristic
662#387C2311yescharacteristic
663#387C2311yescharacteristic
664#387C2311yescharacteristic
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2311yescharacteristic
674#387C2311yescharacteristic
675#387C2311yescharacteristic
676#387C2311yescharacteristic
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2311yescharacteristic
704#386C2311yescharacteristic
705#386C2311yescharacteristic
706#386C2311yescharacteristic
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2311yescharacteristic
729#385C2311yescharacteristic
730#385C2311yescharacteristic
731#385C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2314yes—
745#384C2314yes—
746#383C2311yescharacteristic
747#383C2311yescharacteristic
748#383C2314yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2314yes—
759#382C2314yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2314yes—
766#382C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2314yes—
771#381C2314yes—
772#381C2311yescharacteristic
773#381C2311yescharacteristic
774#380C2314yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2314yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2311yescharacteristic
798#380C2312yes—
799#380C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2311yescharacteristic
842C4×C4⋊C4C2311yescharacteristic
843C4×C4⋊C4C2311yescharacteristic
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2311yescharacteristic
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876#376C2311yescharacteristic
877#376C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2311yescharacteristic
880C2×#95C2314yes—
881C43C2311yescharacteristic
882C43C2311yescharacteristic
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C22×Q8C2412yes—
892C22×Q8C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2411yescharacteristic
897C22×D4C2411yescharacteristic
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2411yescharacteristic
902C23×C4C2411yescharacteristic
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C23×C4C2411yescharacteristic
920C4⋊Q8—24no—
921#127—24no—
922#126—216no—
923#126—24no—
924#126—24no—
925#126—48no—
926#126—48no—
927#126—48no—
928#125—24no—
929#125—28no—
930#125—44no—
931#125—44no—
932#125—44no—
933#125—44no—
934#125—44no—
935#125—44no—
936#125—48no—
937#125—44no—
938#125—44no—
939#124—24no—
940#124—44no—
941#124—44no—
942#123—24no—
943#123—24no—
944#123—216no—
945#123—48no—
946#123—48no—
947#123—48no—
948C22⋊Q8—28no—
949C22⋊Q8—24no—
950C22⋊Q8—44no—
951C22⋊Q8—44no—
952#121—24no—
953#121—216no—
954#121—28no—
955#121—28no—
956#121—28no—
957#121—48no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964C4×Q8—24no—
965C4×Q8—42no—
966C4×Q8—42no—
967C4×Q8—44no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—216no—
975C4×D4—28no—
976C4×D4—48no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—48no—
990C4×D4#4118yes—
991#117—24no—
992#117—24no—
993#117—28no—
994#117—28no—
995#117—42no—
996#117—42no—
997#117—48no—
998#117—48no—
999#117—44no—
1000#117—44no—
1001C2×C4⋊C4—28no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42—24no—
1142C2×C42—24no—
1143C2×C42—42no—
1144C2×C42—42no—
1145C2×C42—42no—
1146C2×C42—42no—
1147C2×C42C2411yescharacteristic
1148C2×C42C2414yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2414yes—
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2411yescharacteristic
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2411yescharacteristic
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2411yescharacteristic
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24C2514yes—
1279C24C2511yescharacteristic
1280C24C2511yescharacteristic
1281C24C2511yescharacteristic
1282C2×Q8—22no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—41no—
1287C2×Q8—41no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—28no—
1293C2×D4—28no—
1294C2×D4—28no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—41no—
1305C2×D4—41no—
1306C2×D4—41no—
1307C2×D4—41no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4C2×#4114yes—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—28no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—28no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4C2×#4114yes—
1367C22×C4C2×#4114yes—
1368C22×C4H(5,𝔽2)14yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2511yescharacteristic
1380C22×C4C2514yes—
1381C22×C4C2514yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2514yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2514yes—
1387C22×C4C2514yes—
1388C22×C4C2514yes—
1389C22×C4C2514yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—41no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—41no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4C2×#4114yes—
1480C22⋊C4—28no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—28no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—28no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—28no—
1496C22⋊C4—22no—
1497C22⋊C4—28no—
1498C22⋊C4—22no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4C2×#4114yes—
1534C22⋊C4C2×#4114yes—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—28no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—28no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—41no—
1574C42—41no—
1575C42—41no—
1576C42—41no—
1577C42—41no—
1578C42—41no—
1579C42—41no—
1580C42—41no—
1581C42—44no—
1582C42—44no—
1583C42—44no—
1584C42—44no—
1585C42—44no—
1586C42C2×#4114yes—
1587C422−1+414yes—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—24no—
1607C23—24no—
1608C23—24no—
1609C23—24no—
1610C23—24no—
1611C23—24no—
1612C23—24no—
1613C23C22×#4112yes—
1614C23C22×#4112yes—
1615C23C2×H(5,𝔽2)12yes—
1616C23C2611yescharacteristic
1617Q8—44no—
1618Q8—48no—
1619D4—44no—
1620D4—44no—
1621D4—44no—
1622D4—48no—
1623D4—48no—
1624D4—48no—
1625D4—88no—
1626D4—88no—
1627D4—88no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—28no—
1639C2×C4—28no—
1640C2×C4—28no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—24no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—88no—
1733C2×C4—88no—
1734C2×C4—164no—
1735C2×C4—164no—
1736C2×C4—164no—
1737C2×C4C22×#4112yes—
1738C2×C4C22×#4112yes—
1739C2×C4C22×#4112yes—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4112yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×2−1+412yes—
1745C2×C4C2×2−1+412yes—
1746C2×C4C2×2−1+412yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C2×C4#58512yes—
1750C2×C4#58512yes—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—44no—
1773C22—44no—
1774C22—44no—
1775C22—44no—
1776C22—44no—
1777C22—44no—
1778C22—44no—
1779C22C23×#4111yescharacteristic
1780C22C22×H(5,𝔽2)11yescharacteristic
1781C22C22×2−1+411yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22C2×#58511yescharacteristic
1785C22C2×#58511yescharacteristic
1786C4—22no—
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—41no—
1792C4—41no—
1793C4—44no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—44no—
1800C4—44no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—44no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—44no—
1811C4—41no—
1812C4—44no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—44no—
1817C4—41no—
1818C4#351514yes—
1819C4#355914yes—
1820C4#356514yes—
1821C2—42no—
1822C2—42no—
1823C2—42no—
1824C2—84no—
1825C2C2×#355911yescharacteristic
1826C2C2×#356511yescharacteristic
1827C2C2×#351511yescharacteristic
1828C2#6280011yescharacteristic
1829C2#6281511yescharacteristic
1830C2#6283611yescharacteristic
1831C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59580C2semidirect
2. #59507C2semidirect
3. #59121C2semidirect
4. #59120C2semidirect
5. #46082C2semidirect
6. #46072C2semidirect
7. #45715C2semidirect
8. #45688C2semidirect
9. #40130C2semidirect
10. #40058C2semidirect
11. #40034C2semidirect
12. #39962C2semidirect
13. #39236C2semidirect
14. #39226C2semidirect
15. #39083C2semidirect
16. #39080C2semidirect
17. #39008C2semidirect
18. #38996C2semidirect
19. #38926C2semidirect
20. #38914C2semidirect
21. #37571C2semidirect
22. #37370C2semidirect
23. #37360C2semidirect
24. #36640C2semidirect
25. #36631C2semidirect
26. #36574C2semidirect
27. #36573C2semidirect
28. #36211C2semidirect
29. #36210C2semidirect
30. #36189C2semidirect
31. #36182C2semidirect
32. #36182C2semidirect
33. #36181C2semidirect
34. #35288C2semidirect
35. #35288C2semidirect
36. #35286C2semidirect
37. #35286C2semidirect
38. #34483C2semidirect
39. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#595802
#595072
#591212
#591202
#460822
#460722
#457152
#456882
#401302
#400582
#400342
#399622
#392362
#392262
#390832
#390802
#390082
#389962
#389262
#389142
#375712
#373702
#373602
#366402
#366312
#365742
#365732
#362112
#362102
#361892
#361822
#361812
#352882
#352862
#344832
C4×#5292