Finite Group Databasebeta

← #7712512

Subgroups — #7712512

Order 512.

4734 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#59717C212yesmaximal, complemented
2#59504C212yesmaximal, complemented
3#59119C212yesmaximal, complemented
4#59118C212yesmaximal, complemented
5#46083C212yesmaximal, complemented
6#46075C212yesmaximal, complemented
7#45720C212yesmaximal, complemented
8#45702C212yesmaximal, complemented
9#40131C212yesmaximal, complemented
10#40059C212yesmaximal, complemented
11#40035C212yesmaximal, complemented
12#39963C212yesmaximal, complemented
13#39298C212yesmaximal, complemented
14#39297C212yesmaximal, complemented
15#39249C212yesmaximal, complemented
16#39213C212yesmaximal, complemented
17#39152C212yesmaximal, complemented
18#39118C212yesmaximal, complemented
19#39035C212yesmaximal, complemented
20#39021C212yesmaximal, complemented
21#37573C212yesmaximal, complemented
22#37373C212yesmaximal, complemented
23#37363C212yesmaximal, complemented
24#36640C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36563C211yesmaximal, characteristic, complemented
27#36559C211yesmaximal, characteristic, complemented
28#36211C211yesmaximal, characteristic, complemented
29#36211C211yesmaximal, characteristic, complemented
30#36210C211yesmaximal, characteristic, complemented
31#36210C211yesmaximal, characteristic, complemented
32#36188C211yesmaximal, characteristic, complemented
33#36187C211yesmaximal, characteristic, complemented
34#35294C211yesmaximal, characteristic, complemented
35#35294C211yesmaximal, characteristic, complemented
36#35288C211yesmaximal, characteristic, complemented
37#35288C211yesmaximal, characteristic, complemented
38#34489C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#555C2212yes—
42C2×#554C2212yes—
43C2×#529C2211yescharacteristic
44C2×#529C2212yes—
45#2868C2211yescharacteristic
46#2868C2211yescharacteristic
47#2864C2212yes—
48#2864C2212yes—
49#2861C2212yes—
50#2860C2212yes—
51#2860C2212yes—
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#2838C2214yes—
74#2829C2214yes—
75#2808C2214yes—
76#2800C2214yes—
77#2800C2214yes—
78#2798C2214yes—
79#2795C2214yes—
80#2793C2214yes—
81#2787C2214yes—
82#2786C2214yes—
83#2786C2214yes—
84#2783C2214yes—
85#2775C2214yes—
86#2759C2214yes—
87#2759C2214yes—
88#2757C2214yes—
89#2747C2214yes—
90#2746C2214yes—
91#2745C2214yes—
92#2741C2214yes—
93#2740C2214yes—
94#2738C2214yes—
95#2737C2214yes—
96#2730C2214yes—
97#2728C2214yes—
98#2718C2214yes—
99#2717C2214yes—
100#2715C2214yes—
101#2712C2214yes—
102#2710C2214yes—
103#2701C2214yes—
104#2691C2214yes—
105#2690C2214yes—
106#2676C2214yes—
107#2662C2214yes—
108#2654C2214yes—
109#2653C2214yes—
110#2649C2214yes—
111#2644C2212yes—
112#2644C2212yes—
113#2629C2212yes—
114#2629C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2624C2212yes—
118#2624C2212yes—
119#2601C2214yes—
120#2594C2214yes—
121#2592C2214yes—
122#2582C2212yes—
123#2577C2214yes—
124#2573C2214yes—
125#2570C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2570C2212yes—
129#2568C2212yes—
130#2567C2212yes—
131#2566C2212yes—
132#2566C2212yes—
133#2563C2212yes—
134#2563C2212yes—
135#2562C2212yes—
136#2562C2212yes—
137#2560C2214yes—
138#2552C2212yes—
139#2550C2212yes—
140#2550C2212yes—
141#2550C2212yes—
142#2550C2212yes—
143#2550C2212yes—
144#2550C2212yes—
145#2547C2212yes—
146#2547C2212yes—
147#2538C2212yes—
148#2538C2212yes—
149#2537C2212yes—
150#2537C2212yes—
151#2535C2212yes—
152#2535C2212yes—
153#2523C2214yes—
154#2521C2214yes—
155#2514C2212yes—
156#2514C2212yes—
157#2513C2212yes—
158#2513C2212yes—
159#2513C2212yes—
160#2513C2212yes—
161#2513C2212yes—
162#2513C2212yes—
163#2512C2214yes—
164#2509C2212yes—
165#2509C2212yes—
166#2507C2212yes—
167#2507C2212yes—
168#2500C2212yes—
169#2500C2212yes—
170#2499C2212yes—
171#2499C2212yes—
172#2496C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2496C2212yes—
176#2495C2212yes—
177#2495C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2491C2212yes—
183#2491C2212yes—
184#2491C2212yes—
185#2491C2212yes—
186#2490C2212yes—
187#2490C2212yes—
188#2490C2212yes—
189#2490C2212yes—
190#2490C2212yes—
191#2490C2212yes—
192#2485C2212yes—
193#2485C2212yes—
194#2481C2214yes—
195#2479C2214yes—
196#2478C2214yes—
197#2474C2214yes—
198#2469C2214yes—
199#2466C2214yes—
200#2461C2214yes—
201#2454C2212yes—
202#2454C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2452C2212yes—
207#2451C2212yes—
208#2451C2212yes—
209#2448C2212yes—
210#2448C2212yes—
211#2447C2214yes—
212#2447C2212yes—
213#2447C2212yes—
214#2443C2214yes—
215#2441C2212yes—
216#2441C2212yes—
217#2441C2212yes—
218#2441C2212yes—
219#2439C2212yes—
220#2439C2212yes—
221#2439C2212yes—
222#2439C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2421C2212yes—
228#2421C2212yes—
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2415C2212yes—
236#2415C2212yes—
237#2414C2212yes—
238#2414C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2378C2214yes—
242#2378C2214yes—
243#2370C2212yes—
244#2370C2212yes—
245#2369C2212yes—
246#2365C2212yes—
247#2365C2212yes—
248#2363C2212yes—
249#2363C2212yes—
250#2363C2212yes—
251#2363C2212yes—
252#2362C2214yes—
253#2362C2212yes—
254#2362C2212yes—
255#2357C2212yes—
256#2357C2212yes—
257#2355C2212yes—
258#2354C2212yes—
259#2354C2212yes—
260Q8×C4⋊C4C2212yes—
261D4×C4⋊C4C2212yes—
262D4×C4⋊C4C2212yes—
263#2347C2212yes—
264#2347C2212yes—
265#2344C2214yes—
266#2332C2214yes—
267#2332C2214yes—
268#2331C2212yes—
269#2331C2212yes—
270#2330C2212yes—
271#2330C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2323C2214yes—
275#2319C2212yes—
276#2319C2212yes—
277#2313C2214yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2212yes—
285C4×#125C2212yes—
286C4×#125C2212yes—
287C4×#125C2212yes—
288C4×#125C2211yescharacteristic
289C4×#125C2211yescharacteristic
290C4×#126C2211yescharacteristic
291C4×#126C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#124C2211yescharacteristic
295C4×#124C2212yes—
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
321#2285C2211yescharacteristic
322#2285C2211yescharacteristic
323#2283C2211yescharacteristic
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331#556—48no—
332#555—48no—
333#554—216no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×#127C2311yescharacteristic
342#529—28no—
343#529—48no—
344C2×#126C2311yescharacteristic
345C2×#126C2311yescharacteristic
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#125C2311yescharacteristic
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2312yes—
356C2×#125C2312yes—
357C2×#124C2311yescharacteristic
358C2×#124C2314yes—
359C2×#124C2312yes—
360C2×#124C2312yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#123C2311yescharacteristic
364C2×#123C2311yescharacteristic
365C2×#123C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2314yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2314yes—
409C2×C4×D4C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2312yes—
413C2×#117C2314yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C22×C4⋊C4C2314yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432#401C2314yes—
433#401C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2314yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2314yes—
517#391C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2311yescharacteristic
525#391C2314yes—
526#391C2312yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2312yes—
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#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#388C2311yescharacteristic
613#388C2311yescharacteristic
614#388C2311yescharacteristic
615#388C2311yescharacteristic
616#388C2311yescharacteristic
617#388C2311yescharacteristic
618#388C2311yescharacteristic
619#388C2311yescharacteristic
620#388C2311yescharacteristic
621#388C2311yescharacteristic
622#388C2311yescharacteristic
623#388C2311yescharacteristic
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#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2311yescharacteristic
659#388C2311yescharacteristic
660#388C2311yescharacteristic
661#388C2311yescharacteristic
662#387C2311yescharacteristic
663#387C2311yescharacteristic
664#387C2311yescharacteristic
665#387C2311yescharacteristic
666#387C2311yescharacteristic
667#387C2311yescharacteristic
668#387C2311yescharacteristic
669#387C2311yescharacteristic
670#387C2311yescharacteristic
671#387C2311yescharacteristic
672#387C2311yescharacteristic
673#387C2311yescharacteristic
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2311yescharacteristic
683#387C2311yescharacteristic
684#387C2311yescharacteristic
685#387C2311yescharacteristic
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2311yescharacteristic
715#386C2311yescharacteristic
716#386C2311yescharacteristic
717#386C2311yescharacteristic
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#384C2314yes—
740#384C2312yes—
741#384C2312yes—
742#384C2312yes—
743#384C2312yes—
744#384C2312yes—
745#383C2311yescharacteristic
746#383C2311yescharacteristic
747#383C2314yes—
748#383C2314yes—
749#382C2312yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2311yescharacteristic
755#382C2312yes—
756#382C2312yes—
757#382C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#381C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#381C2311yescharacteristic
769#381C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
809C4×C4⋊C4C2314yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2311yescharacteristic
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2312yes—
843C4×C4⋊C4C2314yes—
844C4×C4⋊C4C2311yescharacteristic
845C4×C4⋊C4C2311yescharacteristic
846C4×C4⋊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⋊C4C2311yescharacteristic
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2314yes—
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
876C4×C22⋊C4C2311yescharacteristic
877#376C2311yescharacteristic
878#376C2311yescharacteristic
879#376C2311yescharacteristic
880#376C2311yescharacteristic
881C43C2311yescharacteristic
882C43C2311yescharacteristic
883C43C2311yescharacteristic
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C22×Q8C2412yes—
892C22×Q8C2414yes—
893C22×Q8C2414yes—
894C22×Q8C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2414yes—
915C23×C4C2414yes—
916C23×C4C2414yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C4⋊Q8—28no—
921C4⋊Q8—24no—
922C4⋊Q8—44no—
923C4⋊Q8—44no—
924C4⋊Q8—44no—
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927#127—24no—
928#126—24no—
929#126—24no—
930#126—48no—
931#126—48no—
932#126—48no—
933#125—24no—
934#125—28no—
935#125—28no—
936#125—44no—
937#125—44no—
938#125—44no—
939#125—44no—
940#125—44no—
941#124—24no—
942#124—48no—
943#124—44no—
944#124—44no—
945#124—48no—
946#124—48no—
947#123—24no—
948#123—24no—
949#123—48no—
950C22⋊Q8—24no—
951C22⋊Q8—216no—
952C22⋊Q8—28no—
953C22⋊Q8—216no—
954C22⋊Q8—216no—
955C22⋊Q8—44no—
956C22⋊Q8—44no—
957#121—28no—
958#121—24no—
959#121—48no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968C4×Q8—42no—
969C4×Q8—42no—
970C4×Q8—48no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×Q8#4118yes—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—28no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—42no—
993C4×D4—48no—
994#117—28no—
995#117—24no—
996#117—24no—
997#117—42no—
998#117—42no—
999#117—48no—
1000#117—48no—
1001#117—44no—
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—44no—
1006C2×C4⋊C4—216no—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2414yes—
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×C42—24no—
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42—42no—
1142C2×C42—42no—
1143C2×C42—42no—
1144C2×C42—42no—
1145C2×C42C2411yescharacteristic
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
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×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2414yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2411yescharacteristic
1194C2×C42C2411yescharacteristic
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
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#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
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—
1278C24C2511yescharacteristic
1279C24C2511yescharacteristic
1280C24C2514yes—
1281C24C2511yescharacteristic
1282C2×Q8—28no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—41no—
1287C2×Q8—41no—
1288C2×Q8—44no—
1289C2×Q8—44no—
1290C2×Q8—44no—
1291C2×Q8—44no—
1292C2×Q8—44no—
1293C2×Q8C2×#4114yes—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—28no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—24no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
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—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—28no—
1352C22×C4—28no—
1353C22×C4—28no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—41no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
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×C4C2511yescharacteristic
1381C22×C4C2514yes—
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
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—28no—
1405C4⋊C4—28no—
1406C4⋊C4—28no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—28no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
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—41no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—44no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
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⋊C4C2×#4114yes—
1474C4⋊C4C2×#4114yes—
1475C4⋊C4C2×#4114yes—
1476C22⋊C4—28no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—28no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—28no—
1485C22⋊C4—28no—
1486C22⋊C4—28no—
1487C22⋊C4—22no—
1488C22⋊C4—22no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—28no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
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—41no—
1513C22⋊C4—41no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
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—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—28no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
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—41no—
1569C42—41no—
1570C42—41no—
1571C42—41no—
1572C42—41no—
1573C42—41no—
1574C42—41no—
1575C42—41no—
1576C42—44no—
1577C42—44no—
1578C42—44no—
1579C42—44no—
1580C42—44no—
1581C42—44no—
1582C42—44no—
1583C42—44no—
1584C42C2×#4114yes—
1585C42C2×#4114yes—
1586C42C2×#4114yes—
1587C422−1+414yes—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—24no—
1597C23—21no—
1598C23—24no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—24no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—24no—
1607C23—24no—
1608C23—24no—
1609C23—24no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23C2×H(5,𝔽2)12yes—
1616C23C2611yescharacteristic
1617Q8—44no—
1618Q8—48no—
1619Q8—88no—
1620Q8—164no—
1621D4—44no—
1622D4—44no—
1623D4—44no—
1624D4—48no—
1625D4—48no—
1626D4—48no—
1627D4—88no—
1628D4—164no—
1629D4—164no—
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—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—28no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—24no—
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—24no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—44no—
1721C2×C4—44no—
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—88no—
1735C2×C4C22×#4112yes—
1736C2×C4C22×#4112yes—
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—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—44no—
1761C22—41no—
1762C22—41no—
1763C22—44no—
1764C22—41no—
1765C22—41no—
1766C22—44no—
1767C22—44no—
1768C22—41no—
1769C22—41no—
1770C22—44no—
1771C22—41no—
1772C22—41no—
1773C22—44no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—44no—
1778C22—41no—
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—22no—
1792C4—22no—
1793C4—41no—
1794C4—41no—
1795C4—44no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—44no—
1804C4—44no—
1805C4—41no—
1806C4—44no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—44no—
1811C4—44no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—44no—
1818C4#351814yes—
1819C4#355914yes—
1820C4#356514yes—
1821C2—42no—
1822C2—81no—
1823C2—81no—
1824C2—84no—
1825C2C2×#355911yescharacteristic
1826C2C2×#356511yescharacteristic
1827C2C2×#351811yescharacteristic
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. #59717C2semidirect
2. #59504C2semidirect
3. #59119C2semidirect
4. #59118C2semidirect
5. #46083C2semidirect
6. #46075C2semidirect
7. #45720C2semidirect
8. #45702C2semidirect
9. #40131C2semidirect
10. #40059C2semidirect
11. #40035C2semidirect
12. #39963C2semidirect
13. #39298C2semidirect
14. #39297C2semidirect
15. #39249C2semidirect
16. #39213C2semidirect
17. #39152C2semidirect
18. #39118C2semidirect
19. #39035C2semidirect
20. #39021C2semidirect
21. #37573C2semidirect
22. #37373C2semidirect
23. #37363C2semidirect
24. #36640C2semidirect
25. #36631C2semidirect
26. #36563C2semidirect
27. #36559C2semidirect
28. #36211C2semidirect
29. #36211C2semidirect
30. #36210C2semidirect
31. #36210C2semidirect
32. #36188C2semidirect
33. #36187C2semidirect
34. #35294C2semidirect
35. #35294C2semidirect
36. #35288C2semidirect
37. #35288C2semidirect
38. #34489C2semidirect
39. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#597172
#595042
#591192
#591182
#460832
#460752
#457202
#457022
#401312
#400592
#400352
#399632
#392982
#392972
#392492
#392132
#391522
#391182
#390352
#390212
#375732
#373732
#373632
#366402
#366312
#365632
#365592
#362112
#362102
#361882
#361872
#352942
#352882
#344892
C4×#5292