Finite Group Databasebeta

← #7653576

Subgroups — #7653576

Order 512.

4954 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42544C212yesmaximal, complemented
2#42536C212yesmaximal, complemented
3#40833C214yesmaximal, complemented
4#40821C214yesmaximal, complemented
5#40176C212yesmaximal, complemented
6#40163C214yesmaximal, complemented
7#39524C212yesmaximal, complemented
8#39517C214yesmaximal, complemented
9#39379C211yesmaximal, characteristic, complemented
10#39202C211yesmaximal, characteristic, complemented
11#39147C211yesmaximal, characteristic, complemented
12#38933C211yesmaximal, characteristic, complemented
13#38119C212yesmaximal, complemented
14#37899C212yesmaximal, complemented
15#37857C212yesmaximal, complemented
16#37671C212yesmaximal, complemented
17#37625C211yesmaximal, characteristic, complemented
18#37508C212yesmaximal, complemented
19#36527C212yesmaximal, complemented
20#36452C212yesmaximal, complemented
21#36419C211yesmaximal, characteristic, complemented
22#36192C211yesmaximal, characteristic, complemented
23#36161C211yesmaximal, characteristic, complemented
24#36101C211yesmaximal, characteristic
25#35968C212yesmaximal, complemented
26#35884C212yesmaximal, complemented
27#35288C211yesmaximal, characteristic, complemented
28#35205C212yesmaximal, complemented
29#35184C211yesmaximal, characteristic, complemented
30#35023C212yesmaximal, complemented
31#34975C211yesmaximal, characteristic, complemented
32#34742C212yesmaximal, complemented
33#34324C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#541C2212yescomplemented
39C2×#525C2212yes—
40C2×C4×#41C2212yescomplemented
41C22×C4×D4C2211yescharacteristic
42#2863C2212yescomplemented
43#2861C2212yes—
44#2859C2211yescharacteristic, complemented
45#2858C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2852C2214yescomplemented
49#2851C2214yescomplemented
50#2851C2212yescomplemented
51#2850C2212yescomplemented
52#2848C2212yes—
53#2847C2212yes—
54#2829C2214yescomplemented
55#2827C2214yescomplemented
56#2826C2214yes—
57#2797C2214yes—
58#2797C2214yescomplemented
59#2796C2214yescomplemented
60#2786C2214yescomplemented
61#2778C2214yes—
62#2766C2214yescomplemented
63#2757C2214yescomplemented
64#2757C2214yescomplemented
65#2756C2214yes—
66#2753C2214yes—
67#2752C2214yescomplemented
68#2750C2214yescomplemented
69#2746C2214yescomplemented
70#2740C2214yescomplemented
71#2738C2214yes—
72#2725C2214yescomplemented
73#2725C2214yescomplemented
74#2707C2214yescomplemented
75#2701C2214yes—
76#2697C2214yes—
77#2694C2214yescomplemented
78#2685C2214yes—
79#2685C2214yes—
80#2685C2214yes—
81#2654C2214yescomplemented
82#2654C2214yescomplemented
83#2651C2214yescomplemented
84#2647C2212yescomplemented
85#2644C2212yescomplemented
86#2644C2212yescomplemented
87#2644C2212yescomplemented
88#2643C2214yescomplemented
89#2641C2212yes—
90#2636C2214yes—
91#2633C2214yescomplemented
92#2633C2214yescomplemented
93#2630C2214yes—
94#2630C2214yescomplemented
95#2629C2212yescomplemented
96#2624C2212yes—
97#2624C2212yescomplemented
98#2624C2212yescomplemented
99#2622C2214yes—
100#2620C2212yescomplemented
101#2597C2214yescomplemented
102#2595C2214yes—
103#2595C2214yescomplemented
104#2594C2214yescomplemented
105#2593C2214yescomplemented
106#2578C2214yes—
107#2577C2214yescomplemented
108#2576C2214yescomplemented
109#2576C2214yescomplemented
110#2573C2214yescomplemented
111#2568C2211yescharacteristic, complemented
112#2566C2212yescomplemented
113#2565C2212yescomplemented
114#2559C2214yescomplemented
115#2559C2214yescomplemented
116#2558C2214yescomplemented
117#2553C2214yes—
118#2552C2211yescharacteristic, complemented
119#2552C2211yescharacteristic, complemented
120#2548C2212yes—
121#2548C2211yescharacteristic, complemented
122#2547C2211yescharacteristic
123#2544C2212yes—
124#2544C2212yes—
125#2544C2212yes—
126#2541C2211yescharacteristic
127#2538C2211yescharacteristic
128#2538C2211yescharacteristic
129#2533C2212yescomplemented
130#2531C2214yes—
131#2531C2214yescomplemented
132#2530C2214yescomplemented
133#2528C2212yescomplemented
134#2526C2214yescomplemented
135#2525C2214yescomplemented
136#2522C2214yescomplemented
137#2522C2214yescomplemented
138#2518C2214yescomplemented
139#2517C2214yescomplemented
140#2514C2211yescharacteristic, complemented
141#2514C2212yescomplemented
142#2513C2212yescomplemented
143#2513C2212yescomplemented
144#2512C2212yes—
145#2512C2212yes—
146#2506C2212yescomplemented
147#2506C2212yescomplemented
148#2506C2211yescharacteristic, complemented
149#2500C2212yescomplemented
150#2496C2211yescharacteristic
151#2495C2212yescomplemented
152#2494C2212yes—
153#2490C2212yes—
154#2490C2212yes—
155#2490C2212yescomplemented
156#2489C2212yes—
157#2489C2211yescharacteristic
158#2485C2212yes—
159#2480C2214yes—
160#2479C2214yescomplemented
161#2478C2212yes—
162#2475C2212yes—
163#2475C2214yescomplemented
164#2468C2214yescomplemented
165#2467C2214yes—
166#2466C2214yes—
167#2466C2214yescomplemented
168#2460C2214yes—
169#2460C2214yescomplemented
170#2456C2214yes—
171#2454C2214yes—
172#2454C2212yes—
173#2454C2212yes—
174#2454C2212yescomplemented
175#2454C2212yescomplemented
176#2453C2212yescomplemented
177#2453C2211yescharacteristic, complemented
178#2448C2212yes—
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2447C2212yes—
182#2447C2212yescomplemented
183#2447C2212yescomplemented
184#2446C2211yescharacteristic, complemented
185#2445C2212yes—
186#2445C2212yes—
187#2441C2212yescomplemented
188#2441C2212yescomplemented
189#2435C2212yes—
190#2433C2212yes—
191#2432C2212yescomplemented
192#2429C2211yescharacteristic
193#2427C2212yes—
194#2427C2212yescomplemented
195#2426C2212yes—
196#2426C2212yes—
197#2424C2214yes—
198#2423C2212yes—
199#2423C2212yes—
200#2423C2212yescomplemented
201#2422C2212yes—
202#2422C2212yes—
203#2422C2212yescomplemented
204#2421C2211yescharacteristic
205#2421C2212yescomplemented
206#2421C2212yescomplemented
207#2420C2212yes—
208#2420C2212yescomplemented
209#2419C2214yescomplemented
210#2419C2214yescomplemented
211#2418C2214yes—
212#2418C2214yes—
213#2415C2212yes—
214#2414C2212yes—
215#2407C2212yes—
216#2402C2212yescomplemented
217#2401C2212yes—
218#2395C2214yes—
219#2395C2214yescomplemented
220#2373C2214yescomplemented
221#2370C2212yescomplemented
222#2370C2212yescomplemented
223#2367C2212yes—
224#2367C2212yes—
225#2367C2212yescomplemented
226#2367C2212yescomplemented
227#2366C2212yes—
228#2366C2212yes—
229#2366C2211yescharacteristic, complemented
230#2365C2211yescharacteristic, complemented
231#2363C2212yescomplemented
232#2363C2214yescomplemented
233#2362C2212yescomplemented
234#2361C2212yes—
235#2360C2212yes—
236#2357C2211yescharacteristic
237#2357C2211yescharacteristic
238#2355C2212yescomplemented
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yescomplemented
242#2353C2212yes—
243#2353C2212yes—
244Q8×C4⋊C4C2211yescharacteristic, complemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246#2349C2211yescharacteristic
247#2349C2211yescharacteristic
248#2346C2212yescomplemented
249#2345C2211yescharacteristic
250#2345C2211yescharacteristic
251#2342C2212yes—
252#2342C2212yes—
253#2341C2212yescomplemented
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2211yescharacteristic
256#2334C2214yescomplemented
257#2326C2212yes—
258#2326C2212yescomplemented
259#2324C2212yes—
260#2324C2212yescomplemented
261#2323C2212yescomplemented
262#2321C2214yes—
263#2320C2212yescomplemented
264#2319C2212yescomplemented
265#2318C2214yescomplemented
266#2314C2212yescomplemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2212yes—
270C4×#127C2211yescharacteristic, complemented
271C4×#125C2211yescharacteristic, complemented
272C4×#125C2212yescomplemented
273C4×#126C2212yes—
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yescomplemented
277C4×#123C2214yes—
278C4×#123C2214yescomplemented
279C4×#121C2214yescomplemented
280C4×#121C2212yescomplemented
281#2297C2212yescomplemented
282#2296C2212yescomplemented
283#2295C2211yescharacteristic, complemented
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic
286#2290C2212yes—
287#2290C2212yes—
288#2285C2212yescomplemented
289#2283C2211yescharacteristic
290#2280C2212yes—
291#2280C2212yes—
292#2276C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#550—28no—
304#541—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×#127C2312yes—
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#126C2314yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#120C2314yes—
344C2×#120C2314yes—
345C4×#41—48no—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×D4—28no—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2314yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2314yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C22⋊C4C2312yes—
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2314yes—
392C22×C42C2312yes—
393#401C2314yes—
394#401C2312yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2311yescharacteristic
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2314yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2312yes—
691#385C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2314yes—
702#383C2312yes—
703#382C2312yes—
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#381C2314yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2314yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#379C2314yes—
739#379C2312yes—
740#379C2312yes—
741#379C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810#376C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—28no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×D4—24no—
824C22×D4—42no—
825C22×D4—42no—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4—28no—
838C23×C4—44no—
839C23×C4—44no—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857#127—28no—
858#127—24no—
859#127—44no—
860#126—216no—
861#126—48no—
862#126—44no—
863#126—48no—
864#125—42no—
865#125—44no—
866#125—44no—
867#125—44no—
868#125—48no—
869#125—44no—
870#125—48no—
871#124—28no—
872#124—44no—
873#124—44no—
874#124—44no—
875#124—44no—
876#123—48no—
877#123—48no—
878#123—48no—
879C22⋊Q8—24no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—44no—
885#121—28no—
886#121—216no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—44no—
892#120—48no—
893#120—48no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—42no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—44no—
918C4×D4—48no—
919C4×D4—44no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—48no—
923C4×D4#4118yes—
924#117—28no—
925#117—44no—
926#117—44no—
927#117—42no—
928#117—42no—
929#117—44no—
930#117—48no—
931#117—44no—
932C2×C4⋊C4—24no—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C22⋊C4—28no—
999C2×C22⋊C4—44no—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C42—24no—
1061C2×C42—44no—
1062C2×C42—48no—
1063C2×C42—44no—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173C24—24no—
1174C24—24no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24—42no—
1180C24C2512yes—
1181C24C2514yes—
1182C24C2512yes—
1183C24C2511yescharacteristic
1184#41—432no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8H(5,𝔽2)14yes—
1194C2×D4—24no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—416no—
1227C2×D4C2×#4114yes—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—41no—
1249C22×C4—44no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—44no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—816no—
1273C22×C4C2×#4118yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2514yes—
1296C22×C4C2514yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—28no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—28no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—28no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4C2×#4114yes—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—22no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—41no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
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⋊C4C2×#4118yes—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—28no—
1433C42—24no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—24no—
1438C42—28no—
1439C42—22no—
1440C42—22no—
1441C42—24no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—24no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—42no—
1455C42—44no—
1456C42—41no—
1457C42—41no—
1458C42—41no—
1459C42—44no—
1460C42—42no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—42no—
1465C42C2×#4114yes—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—22no—
1483C23—24no—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—48no—
1493C23—48no—
1494C23—84no—
1495C23—84no—
1496C23—84no—
1497C23—84no—
1498C23—84no—
1499C23C22×#4114yes—
1500C23#58512yes—
1501C23C2611yescharacteristic
1502Q8—28no—
1503Q8—48no—
1504Q8—44no—
1505D4—28no—
1506D4—416no—
1507D4—48no—
1508D4—48no—
1509D4—44no—
1510D4—48no—
1511D4—84no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—164no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—216no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—416no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—48no—
1604C2×C4—44no—
1605C2×C4—84no—
1606C2×C4—88no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4C22×#4114yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C2×H(5,𝔽2)14yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4#58512yes—
1621C2×C4#58512yes—
1622C2×C4#58512yes—
1623C2×C4#58512yes—
1624C22—22no—
1625C22—24no—
1626C22—22no—
1627C22—22no—
1628C22—24no—
1629C22—24no—
1630C22—42no—
1631C22—42no—
1632C22—41no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—41no—
1638C22—44no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—42no—
1645C22—44no—
1646C22—44no—
1647C22—42no—
1648C22—44no—
1649C22—42no—
1650C22—42no—
1651C22—44no—
1652C22—816no—
1653C22C23×#4111yescharacteristic
1654C22C22×H(5,𝔽2)11yescharacteristic
1655C22C2×#58511yescharacteristic
1656C22C2×#58511yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C4—22no—
1661C4—24no—
1662C4—24no—
1663C4—22no—
1664C4—41no—
1665C4—41no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—41no—
1679C4—42no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—41no—
1688C4—44no—
1689C4#345514yes—
1690C4#351314yes—
1691C2—44no—
1692C2—42no—
1693C2—84no—
1694C2—82no—
1695C2C2×#345511yescharacteristic
1696C2C2×#351311yescharacteristic
1697C2#6281011yescharacteristic
1698C2#6301911yescharacteristic
1699C2#6301911yescharacteristic
1700C2#6302911yescharacteristic
1701C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36101C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42544C2semidirect
2. #42536C2semidirect
3. #40833C2semidirect
4. #40821C2semidirect
5. #40176C2semidirect
6. #40163C2semidirect
7. #39524C2semidirect
8. #39517C2semidirect
9. #39379C2semidirect
10. #39202C2semidirect
11. #39147C2semidirect
12. #38933C2semidirect
13. #38119C2semidirect
14. #37899C2semidirect
15. #37857C2semidirect
16. #37671C2semidirect
17. #37625C2semidirect
18. #37508C2semidirect
19. #36527C2semidirect
20. #36452C2semidirect
21. #36419C2semidirect
22. #36192C2semidirect
23. #36161C2semidirect
25. #35968C2semidirect
26. #35884C2semidirect
27. #35288C2semidirect
28. #35205C2semidirect
29. #35184C2semidirect
30. #35023C2semidirect
31. #34975C2semidirect
32. #34742C2semidirect
33. #34324C2semidirect
34. C4×#550C2semidirect
35. #34126C2semidirect
38. C2×#541C22semidirect
40. C2×C4×#41C22semidirect
42. #2863C22semidirect
44. #2859C22semidirect
45. #2858C22semidirect
48. #2852C22semidirect
49. #2851C22semidirect
50. #2851C22semidirect
51. #2850C22semidirect
54. #2829C22semidirect
55. #2827C22semidirect
58. #2797C22semidirect
59. #2796C22semidirect
60. #2786C22semidirect
62. #2766C22semidirect
63. #2757C22semidirect
64. #2757C22semidirect
67. #2752C22semidirect
68. #2750C22semidirect
69. #2746C22semidirect
70. #2740C22semidirect
72. #2725C22semidirect
73. #2725C22semidirect
74. #2707C22semidirect
77. #2694C22semidirect
81. #2654C22semidirect
82. #2654C22semidirect
83. #2651C22semidirect
84. #2647C22semidirect
85. #2644C22semidirect
86. #2644C22semidirect
87. #2644C22semidirect
88. #2643C22semidirect
91. #2633C22semidirect
92. #2633C22semidirect
94. #2630C22semidirect
95. #2629C22semidirect
97. #2624C22semidirect
98. #2624C22semidirect
100. #2620C22semidirect
101. #2597C22semidirect
103. #2595C22semidirect
104. #2594C22semidirect
105. #2593C22semidirect
107. #2577C22semidirect
108. #2576C22semidirect
109. #2576C22semidirect
110. #2573C22semidirect
111. #2568C22semidirect
112. #2566C22semidirect
113. #2565C22semidirect
114. #2559C22semidirect
115. #2559C22semidirect
116. #2558C22semidirect
118. #2552C22semidirect
119. #2552C22semidirect
121. #2548C22semidirect
129. #2533C22semidirect
131. #2531C22semidirect
132. #2530C22semidirect
133. #2528C22semidirect
134. #2526C22semidirect
135. #2525C22semidirect
136. #2522C22semidirect
137. #2522C22semidirect
138. #2518C22semidirect
139. #2517C22semidirect
140. #2514C22semidirect
141. #2514C22semidirect
142. #2513C22semidirect
143. #2513C22semidirect
146. #2506C22semidirect
147. #2506C22semidirect
148. #2506C22semidirect
149. #2500C22semidirect
151. #2495C22semidirect
155. #2490C22semidirect
160. #2479C22semidirect
163. #2475C22semidirect
164. #2468C22semidirect
167. #2466C22semidirect
169. #2460C22semidirect
174. #2454C22semidirect
175. #2454C22semidirect
176. #2453C22semidirect
177. #2453C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
182. #2447C22semidirect
183. #2447C22semidirect
184. #2446C22semidirect
187. #2441C22semidirect
188. #2441C22semidirect
191. #2432C22semidirect
194. #2427C22semidirect
200. #2423C22semidirect
203. #2422C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
208. #2420C22semidirect
209. #2419C22semidirect
210. #2419C22semidirect
216. #2402C22semidirect
219. #2395C22semidirect
220. #2373C22semidirect
221. #2370C22semidirect
222. #2370C22semidirect
225. #2367C22semidirect
226. #2367C22semidirect
229. #2366C22semidirect
230. #2365C22semidirect
231. #2363C22semidirect
232. #2363C22semidirect
233. #2362C22semidirect
238. #2355C22semidirect
241. #2354C22semidirect
244. Q8×C4⋊C4C22semidirect
245. Q8×C4⋊C4C22semidirect
248. #2346C22semidirect
253. #2341C22semidirect
256. #2334C22semidirect
258. #2326C22semidirect
260. #2324C22semidirect
261. #2323C22semidirect
263. #2320C22semidirect
264. #2319C22semidirect
265. #2318C22semidirect
266. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
270. C4×#127C22semidirect
271. C4×#125C22semidirect
272. C4×#125C22semidirect
276. C4×C22⋊Q8C22semidirect
278. C4×#123C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. #2297C22semidirect
282. #2296C22semidirect
283. #2295C22semidirect
288. #2285C22semidirect
292. #2276C22semidirect
293. C42×Q8C22semidirect
296. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#425442
#425362
#408332
#408212
#401762
#401632
#395242
#395172
#393792
#392022
#391472
#389332
#381192
#378992
#378572
#376712
#376252
#375082
#365272
#364522
#364192
#361922
#361612
#361012
#359682
#358842
#352882
#352052
#351842
#350232
#349752
#347422
#343242
C4×#5502
#341262