Finite Group Databasebeta

← #7710667

Subgroups — #7710667

Order 512.

4800 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59655C211yesmaximal, characteristic, complemented
2#59654C211yesmaximal, characteristic, complemented
3#59443C211yesmaximal, characteristic, complemented
4#59442C211yesmaximal, characteristic, complemented
5#59231C212yesmaximal, complemented
6#59037C212yesmaximal, complemented
7#46216C214yesmaximal, complemented
8#45626C212yesmaximal, complemented
9#45602C212yesmaximal, complemented
10#40094C212yesmaximal, complemented
11#40068C212yesmaximal, complemented
12#39224C212yesmaximal, complemented
13#39126C211yesmaximal, characteristic, complemented
14#39125C211yesmaximal, characteristic, complemented
15#39010C212yesmaximal, complemented
16#38911C211yesmaximal, characteristic, complemented
17#38908C211yesmaximal, characteristic, complemented
18#38621C214yesmaximal, complemented
19#38318C214yesmaximal, complemented
20#38203C212yesmaximal, complemented
21#38200C212yesmaximal, complemented
22#37582C212yesmaximal, complemented
23#36851C214yesmaximal, complemented
24#36635C211yesmaximal, characteristic, complemented
25#36631C211yesmaximal, characteristic, complemented
26#36555C211yesmaximal, characteristic, complemented
27Q8×#124C211yesmaximal, characteristic, complemented
28#36195C212yesmaximal, complemented
29#36174C211yesmaximal, characteristic, complemented
30#36172C212yesmaximal, complemented
31#36164C211yesmaximal, characteristic, complemented
32#35136C212yesmaximal, complemented
33#35132C212yesmaximal, complemented
34#34496C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#547C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C2×#529C2211yescharacteristic
44#2864C2212yes—
45#2864C2212yes—
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2862C2212yes—
50#2861C2211yescharacteristic
51#2861C2211yescharacteristic
52#2860C2212yes—
53#2860C2212yes—
54#2859C2211yescharacteristic
55#2859C2211yescharacteristic
56#2858C2211yescharacteristic
57#2857C2211yescharacteristic
58#2857C2211yescharacteristic
59#2857C2211yescharacteristic
60#2856C2211yescharacteristic
61#2855C2212yes—
62#2855C2212yes—
63#2854C2212yes—
64#2854C2212yes—
65#2851C2212yes—
66#2850C2211yescharacteristic
67#2850C2211yescharacteristic
68#2850C2212yes—
69#2850C2212yes—
70#2839C2214yes—
71#2830C2214yes—
72#2788C2214yes—
73#2779C2214yes—
74#2776C2214yes—
75#2770C2214yes—
76#2755C2214yes—
77#2754C2214yes—
78#2751C2214yes—
79#2751C2214yes—
80#2750C2214yes—
81#2746C2214yes—
82#2745C2214yes—
83#2744C2214yes—
84#2740C2214yes—
85#2739C2214yes—
86#2739C2214yes—
87#2737C2214yes—
88#2729C2214yes—
89#2716C2214yes—
90#2708C2214yes—
91#2702C2214yes—
92#2696C2214yes—
93#2695C2214yes—
94#2693C2214yes—
95#2689C2214yes—
96#2687C2214yes—
97#2687C2214yes—
98#2686C2214yes—
99#2681C2214yes—
100#2681C2214yes—
101#2676C2214yes—
102#2674C2214yes—
103#2671C2214yes—
104#2666C2214yes—
105#2666C2214yes—
106#2654C2214yes—
107#2651C2214yes—
108#2650C2214yes—
109#2648C2214yes—
110#2629C2212yes—
111#2628C2212yes—
112#2625C2212yes—
113#2625C2212yes—
114#2612C2214yes—
115#2612C2214yes—
116#2587C2214yes—
117#2582C2211yescharacteristic
118#2576C2214yes—
119#2572C2214yes—
120#2572C2214yes—
121#2570C2212yes—
122#2570C2212yes—
123#2568C2211yescharacteristic
124#2568C2211yescharacteristic
125#2568C2212yes—
126#2565C2212yes—
127#2563C2212yes—
128#2563C2211yescharacteristic
129#2563C2211yescharacteristic
130#2562C2212yes—
131#2562C2212yes—
132#2550C2212yes—
133#2550C2212yes—
134#2550C2212yes—
135#2547C2212yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2537C2211yescharacteristic
139#2537C2212yes—
140#2536C2212yes—
141#2536C2212yes—
142#2536C2212yes—
143#2535C2212yes—
144#2533C2214yes—
145#2532C2214yes—
146#2532C2214yes—
147#2532C2214yes—
148#2531C2214yes—
149#2529C2214yes—
150#2526C2214yes—
151#2526C2214yes—
152#2522C2214yes—
153#2521C2214yes—
154#2518C2214yes—
155#2518C2214yes—
156#2515C2214yes—
157#2514C2212yes—
158#2514C2212yes—
159#2513C2212yes—
160#2511C2212yes—
161#2510C2214yes—
162#2504C2212yes—
163#2503C2212yes—
164#2497C2212yes—
165#2495C2214yes—
166#2495C2212yes—
167#2492C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2492C2212yes—
171#2492C2214yes—
172#2492C2214yes—
173#2491C2212yes—
174#2491C2212yes—
175#2490C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2488C2214yes—
180#2488C2214yes—
181#2486C2212yes—
182#2485C2212yes—
183#2476C2214yes—
184#2471C2214yes—
185#2468C2214yes—
186#2461C2214yes—
187#2459C2214yes—
188#2459C2214yes—
189#2458C2214yes—
190#2454C2212yes—
191#2453C2212yes—
192#2453C2212yes—
193#2452C2212yes—
194#2448C2212yes—
195#2447C2212yes—
196#2446C2212yes—
197#2445C2212yes—
198#2444C2214yes—
199#2442C2212yes—
200#2442C2212yes—
201#2440C2212yes—
202#2440C2212yes—
203#2438C2214yes—
204#2438C2214yes—
205#2429C2212yes—
206#2429C2214yes—
207#2428C2212yes—
208#2427C2212yes—
209#2426C2212yes—
210#2423C2212yes—
211#2421C2212yes—
212#2420C2212yes—
213#2420C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2409C2212yes—
219#2409C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2378C2214yes—
223#2377C2214yes—
224#2372C2214yes—
225#2372C2214yes—
226#2367C2212yes—
227#2364C2214yes—
228#2363C2212yes—
229#2361C2212yes—
230#2360C2212yes—
231#2360C2212yes—
232#2357C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2355C2211yescharacteristic
236#2354C2211yescharacteristic
237#2353C2214yes—
238#2352C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240D4×C4⋊C4C2211yescharacteristic
241#2346C2212yes—
242#2345C2212yes—
243Q8×C22⋊C4C2212yes—
244Q8×C22⋊C4C2212yes—
245#2339C2212yes—
246#2339C2212yes—
247#2337C2214yes—
248#2335C2214yes—
249#2333C2214yes—
250#2329C2214yes—
251#2329C2214yes—
252#2324C2212yes—
253#2323C2212yes—
254#2319C2214yes—
255#2311C2212yes—
256#2310C2212yes—
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×#127C2211yescharacteristic
261C4×#125C2212yes—
262C4×#125C2211yescharacteristic
263C4×#125C2211yescharacteristic
264C4×#126C2212yes—
265C4×#126C2212yes—
266C4×#124C2211yescharacteristic
267C4×#124C2211yescharacteristic
268C4×#124C2211yescharacteristic
269C4×#124C2212yes—
270C4×#124C2212yes—
271C4×#124C2211yescharacteristic
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2212yes—
277C4×#123C2212yes—
278C4×#121C2212yes—
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2211yescharacteristic
282#2298C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2293C2212yes—
287#2293C2212yes—
288#2293C2211yescharacteristic
289#2290C2212yes—
290#2283C2212yes—
291#2283C2212yes—
292#2283C2211yescharacteristic
293C2×#382C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301Q82—44no—
302#554—44no—
303D4×Q8—44no—
304#548—216no—
305#547—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×#127C2311yescharacteristic
314#529—28no—
315#529—44no—
316#529—44no—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#124C2314yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2314yes—
331C2×#124C2311yescharacteristic
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403#401C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#392C2314yes—
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2314yes—
494#391C2314yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2314yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#383C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2311yescharacteristic
711#382C2311yescharacteristic
712#382C2312yes—
713#382C2312yes—
714#382C2314yes—
715#382C2314yes—
716#381C2314yes—
717#381C2314yes—
718#381C2314yes—
719#381C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802#376C2314yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—28no—
819C2×#41—44no—
820C2×#41—44no—
821C22×Q8—28no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—42no—
863C4⋊Q8—48no—
864#127—42no—
865#126—28no—
866#126—44no—
867#126—44no—
868#125—24no—
869#125—44no—
870#125—42no—
871#125—42no—
872#125—44no—
873#124—216no—
874#124—24no—
875#124—24no—
876#124—42no—
877#124—42no—
878#124—48no—
879#124#4118yes—
880#123—28no—
881#123—48no—
882#123—44no—
883#123—44no—
884#123—48no—
885C22⋊Q8—24no—
886C22⋊Q8—28no—
887C22⋊Q8—216no—
888C22⋊Q8—44no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—42no—
895C22⋊Q8—42no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899#121—24no—
900#121—28no—
901#121—216no—
902#121—48no—
903#121—44no—
904#121—44no—
905#121—42no—
906#121—42no—
907#121—44no—
908#121—44no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—24no—
912C4×Q8—24no—
913C4×Q8—24no—
914C4×Q8—44no—
915C4×Q8—42no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—216no—
922C4×D4—28no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—24no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935#117—28no—
936#117—44no—
937#117—44no—
938#117—44no—
939#117—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C42—24no—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—28no—
1062C2×C42—42no—
1063C2×C42—42no—
1064C2×C42—42no—
1065C2×C42—42no—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2512yes—
1182C24C2512yes—
1183C24C2512yes—
1184C24C2511yescharacteristic
1185#41—816no—
1186C2×Q8—24no—
1187C2×Q8—28no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—42no—
1200C2×Q8—44no—
1201C2×Q8—42no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—816no—
1207C2×Q8C2×#4114yes—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4C2×#4114yes—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—28no—
1266C22×C4—24no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2514yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4C2×#4118yes—
1431C22⋊C4C2×#4118yes—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—24no—
1436C42—28no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—24no—
1448C42—24no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—41no—
1457C42—41no—
1458C42—41no—
1459C42—41no—
1460C42—41no—
1461C42—41no—
1462C42—41no—
1463C42—41no—
1464C42—41no—
1465C42—41no—
1466C42—42no—
1467C42—44no—
1468C42—42no—
1469C42—44no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42C2×#4114yes—
1475C42H(5,𝔽2)14yes—
1476C422−1+414yes—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—21no—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23C22×#4114yes—
1504C23#58512yes—
1505C23C2611yescharacteristic
1506Q8—28no—
1507Q8—48no—
1508Q8—44no—
1509Q8—44no—
1510Q8—84no—
1511Q8—88no—
1512Q8—164no—
1513D4—28no—
1514D4—48no—
1515D4—44no—
1516D4—44no—
1517D4—84no—
1518D4—84no—
1519D4—88no—
1520D4—84no—
1521D4—84no—
1522D4—88no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—48no—
1614C2×C4—84no—
1615C2×C4—88no—
1616C2×C4—88no—
1617C2×C4—164no—
1618C2×C4—164no—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4112yes—
1621C2×C4C22×#4114yes—
1622C2×C4C22×#4112yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4C2×2−1+412yes—
1629C2×C4#58512yes—
1630C2×C4#58512yes—
1631C2×C4#58512yes—
1632C22—22no—
1633C22—24no—
1634C22—24no—
1635C22—22no—
1636C22—24no—
1637C22—22no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22C23×#4111yescharacteristic
1661C22C22×H(5,𝔽2)11yescharacteristic
1662C22C22×2−1+411yescharacteristic
1663C22C2×#58511yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22C2×#58511yescharacteristic
1666C22C2×#58511yescharacteristic
1667C4—22no—
1668C4—24no—
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—44no—
1688C4—41no—
1689C4—44no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4#351414yes—
1697C4#354714yes—
1698C2—42no—
1699C2—44no—
1700C2—82no—
1701C2—82no—
1702C2C2×#354711yescharacteristic
1703C2#6275211yescharacteristic
1704C2C2×#351411yescharacteristic
1705C2#6280511yescharacteristic
1706C2#6281611yescharacteristic
1707C2#6282711yescharacteristic
1708C2#6283011yescharacteristic
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. #59655C2semidirect
2. #59654C2semidirect
3. #59443C2semidirect
4. #59442C2semidirect
5. #59231C2semidirect
6. #59037C2semidirect
7. #46216C2semidirect
8. #45626C2semidirect
9. #45602C2semidirect
10. #40094C2semidirect
11. #40068C2semidirect
12. #39224C2semidirect
13. #39126C2semidirect
14. #39125C2semidirect
15. #39010C2semidirect
16. #38911C2semidirect
17. #38908C2semidirect
18. #38621C2semidirect
19. #38318C2semidirect
20. #38203C2semidirect
21. #38200C2semidirect
22. #37582C2semidirect
23. #36851C2semidirect
24. #36635C2semidirect
25. #36631C2semidirect
26. #36555C2semidirect
27. Q8×#124C2semidirect
28. #36195C2semidirect
29. #36174C2semidirect
30. #36172C2semidirect
31. #36164C2semidirect
32. #35136C2semidirect
33. #35132C2semidirect
34. #34496C2semidirect
35. C4×#529C2semidirect

Maximal subgroups

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

subgroupindex
#596552
#596542
#594432
#594422
#592312
#590372
#462162
#456262
#456022
#400942
#400682
#392242
#391262
#391252
#390102
#389112
#389082
#386212
#383182
#382032
#382002
#375822
#368512
#366352
#366312
#365552
Q8×#1242
#361952
#361742
#361722
#361642
#351362
#351322
#344962
C4×#5292