Finite Group Databasebeta

← #7979701

Subgroups — #7979701

Order 512.

4663 conjugacy classes of subgroups.

The subgroup lattice has 1689 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59692C212yesmaximal, complemented
2#59566C212yesmaximal, complemented
3#59437C211yesmaximal, characteristic, complemented
4#59055C211yesmaximal, characteristic, complemented
5#59050C211yesmaximal, characteristic, complemented
6#51193C214yesmaximal, complemented
7#50946C214yesmaximal, complemented
8#45677C212yesmaximal, complemented
9#45669C212yesmaximal, complemented
10#45405C212yesmaximal, complemented
11#45382C212yesmaximal, complemented
12#44332C214yesmaximal, complemented
13#42725C212yesmaximal, complemented
14#42722C212yesmaximal, complemented
15#42028C214yesmaximal, complemented
16#39962C212yesmaximal, complemented
17#39914C212yesmaximal, complemented
18#39900C212yesmaximal, complemented
19#39791C212yesmaximal, complemented
20#38986C211yesmaximal, characteristic, complemented
21#38922C211yesmaximal, characteristic, complemented
22#38131C212yesmaximal, complemented
23#36579C211yesmaximal, characteristic, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36210C212yesmaximal, complemented
26#36193C211yesmaximal, characteristic, complemented
27#36185C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#35241C211yesmaximal, characteristic, complemented
30#35196C212yesmaximal, complemented
31#35176C211yesmaximal, characteristic, complemented
32#34953C211yesmaximal, characteristic, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34462C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#553C2211yescharacteristic
39C2×#552C2212yes—
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#529C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44#2862C2211yescharacteristic
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2212yes—
50#2855C2212yes—
51#2855C2212yes—
52#2850C2212yes—
53#2850C2212yes—
54#2850C2212yes—
55#2838C2214yes—
56#2838C2214yes—
57#2802C2214yes—
58#2801C2214yes—
59#2796C2214yes—
60#2792C2214yes—
61#2789C2214yes—
62#2787C2214yes—
63#2784C2214yes—
64#2783C2214yes—
65#2778C2214yes—
66#2773C2214yes—
67#2772C2214yes—
68#2768C2214yes—
69#2767C2214yes—
70#2758C2214yes—
71#2757C2214yes—
72#2753C2214yes—
73#2746C2214yes—
74#2746C2214yes—
75#2744C2214yes—
76#2742C2214yes—
77#2742C2214yes—
78#2741C2214yes—
79#2738C2214yes—
80#2737C2214yes—
81#2737C2214yes—
82#2730C2214yes—
83#2721C2214yes—
84#2715C2214yes—
85#2695C2214yes—
86#2693C2214yes—
87#2691C2214yes—
88#2672C2214yes—
89#2671C2214yes—
90#2667C2214yes—
91#2664C2214yes—
92#2664C2214yes—
93#2655C2214yes—
94#2651C2214yes—
95#2649C2214yes—
96#2649C2214yes—
97#2645C2212yes—
98#2624C2212yes—
99#2611C2214yes—
100#2601C2214yes—
101#2596C2214yes—
102#2594C2214yes—
103#2593C2214yes—
104#2592C2212yes—
105#2590C2214yes—
106#2585C2214yes—
107#2584C2212yes—
108#2584C2212yes—
109#2583C2214yes—
110#2581C2212yes—
111#2577C2214yes—
112#2577C2214yes—
113#2571C2212yes—
114#2570C2212yes—
115#2568C2211yescharacteristic
116#2567C2211yescharacteristic
117#2567C2211yescharacteristic
118#2565C2212yes—
119#2562C2214yes—
120#2553C2214yes—
121#2552C2211yescharacteristic
122#2547C2212yes—
123#2547C2211yescharacteristic
124#2546C2211yescharacteristic
125#2546C2211yescharacteristic
126#2545C2212yes—
127#2542C2211yescharacteristic
128#2542C2211yescharacteristic
129#2542C2212yes—
130#2540C2212yes—
131#2538C2211yescharacteristic
132#2537C2212yes—
133#2536C2212yes—
134#2522C2214yes—
135#2522C2214yes—
136#2521C2214yes—
137#2521C2214yes—
138#2520C2214yes—
139#2518C2214yes—
140#2516C2214yes—
141#2516C2214yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2511C2212yes—
147#2509C2214yes—
148#2508C2212yes—
149#2507C2212yes—
150#2507C2212yes—
151#2502C2212yes—
152#2500C2212yes—
153#2499C2212yes—
154#2498C2214yes—
155#2497C2214yes—
156#2496C2212yes—
157#2495C2214yes—
158#2495C2212yes—
159#2494C2214yes—
160#2494C2212yes—
161#2494C2214yes—
162#2490C2212yes—
163#2489C2212yes—
164#2489C2212yes—
165#2489C2212yes—
166#2485C2212yes—
167#2485C2214yes—
168#2481C2212yes—
169#2481C2214yes—
170#2479C2214yes—
171#2476C2214yes—
172#2476C2214yes—
173#2469C2212yes—
174#2469C2214yes—
175#2458C2212yes—
176#2454C2212yes—
177#2453C2212yes—
178#2453C2212yes—
179#2453C2212yes—
180#2453C2211yescharacteristic
181#2448C2214yes—
182#2448C2211yescharacteristic
183#2448C2212yes—
184#2446C2212yes—
185#2443C2212yes—
186#2442C2212yes—
187#2442C2212yes—
188#2442C2211yescharacteristic
189#2441C2212yes—
190#2441C2212yes—
191#2438C2214yes—
192#2436C2211yescharacteristic
193#2434C2212yes—
194#2429C2212yes—
195#2429C2212yes—
196#2427C2212yes—
197#2427C2212yes—
198#2427C2212yes—
199#2426C2212yes—
200#2426C2212yes—
201#2426C2211yescharacteristic
202#2423C2212yes—
203#2423C2212yes—
204#2422C2212yes—
205#2421C2212yes—
206#2421C2212yes—
207#2421C2212yes—
208#2421C2211yescharacteristic
209#2420C2214yes—
210#2417C2212yes—
211#2417C2212yes—
212#2416C2212yes—
213#2416C2211yescharacteristic
214#2415C2212yes—
215#2415C2212yes—
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2409C2212yes—
222#2409C2211yescharacteristic
223#2399C2214yes—
224#2398C2212yes—
225#2396C2212yes—
226#2383C2214yes—
227#2376C2214yes—
228#2374C2212yes—
229#2373C2212yes—
230#2370C2214yes—
231#2370C2211yescharacteristic
232#2370C2212yes—
233#2369C2211yescharacteristic
234#2367C2212yes—
235#2365C2211yescharacteristic
236#2364C2212yes—
237#2363C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2362C2212yes—
245#2361C2211yescharacteristic
246#2360C2212yes—
247#2357C2211yescharacteristic
248#2355C2211yescharacteristic
249#2354C2212yes—
250#2353C2212yes—
251#2352C2211yescharacteristic
252#2352C2212yes—
253#2351C2212yes—
254Q8×C4⋊C4C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256#2347C2214yes—
257#2347C2214yes—
258#2347C2211yescharacteristic
259#2345C2212yes—
260#2345C2211yescharacteristic
261#2344C2212yes—
262#2336C2214yes—
263#2335C2214yes—
264#2334C2214yes—
265#2330C2212yes—
266#2324C2214yes—
267#2323C2212yes—
268#2323C2212yes—
269#2320C2212yes—
270#2319C2212yes—
271#2316C2212yes—
272#2314C2214yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×#123C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2296C2212yes—
288#2296C2212yes—
289#2295C2211yescharacteristic
290#2293C2212yes—
291#2290C2212yes—
292#2285C2212yes—
293#2285C2212yes—
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#556—44no—
301#555—44no—
302#553—28no—
303#552—216no—
304#533—44no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311#529—44no—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2314yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2311yescharacteristic
326C2×#124C2314yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×C4×Q8—44no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×#117C2314yes—
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399C22×C42C2312yes—
400C22×C42C2312yes—
401#401C2314yes—
402#401C2314yes—
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#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2312yes—
428#399C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2312yes—
476#395C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#393C2312yes—
491#393C2314yes—
492#393C2312yes—
493#393C2312yes—
494#392C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#390C2314yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2314yes—
529#390C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2314yes—
546#389C2312yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2312yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2314yes—
577#389C2314yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
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#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2314yes—
706#384C2312yes—
707#384C2312yes—
708#383C2312yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2314yes—
719#382C2314yes—
720#382C2311yescharacteristic
721#382C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2312yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813#376C2312yes—
814#376C2312yes—
815C2×#95C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C22×Q8—42no—
819C22×Q8—42no—
820C22×Q8—42no—
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855#126—216no—
856#126—28no—
857#126—44no—
858#126—48no—
859#125—28no—
860#125—24no—
861#125—216no—
862#125—42no—
863#125—44no—
864#125—44no—
865#124—42no—
866#124—44no—
867#124—42no—
868#124—44no—
869#124—48no—
870#123—216no—
871#123—28no—
872#123—44no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879C22⋊Q8—42no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—24no—
888#121—24no—
889#121—28no—
890#121—44no—
891#121—48no—
892#121—42no—
893#121—42no—
894#121—44no—
895#121—44no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×Q8—42no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923#117—24no—
924#117—216no—
925#117—44no—
926#117—48no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117#4118yes—
933C2×C4⋊C4—28no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—24no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42—44no—
1065C2×C42—44no—
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2511yescharacteristic
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—416no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—42no—
1214C2×D4—41no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—28no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—41no—
1262C22×C4—44no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4C2×#4114yes—
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2514yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—28no—
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4C2×#4114yes—
1370C4⋊C4C2×#4114yes—
1371C4⋊C42−1+414yes—
1372C22⋊C4—22no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—22no—
1378C22⋊C4—24no—
1379C22⋊C4—28no—
1380C22⋊C4—22no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—41no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4C2×#4118yes—
1423C42—28no—
1424C42—22no—
1425C42—24no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—42no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—41no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—42no—
1456C42—41no—
1457C42—44no—
1458C42C2×#4118yes—
1459C42H(5,𝔽2)14yes—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23C22×#4112yes—
1487C23#58512yes—
1488C23C2611yescharacteristic
1489Q8—48no—
1490Q8—48no—
1491Q8—48no—
1492Q8—44no—
1493Q8—44no—
1494Q8—84no—
1495D4—48no—
1496D4—44no—
1497D4—44no—
1498D4—44no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—164no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—28no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—24no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—44no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—88no—
1598C2×C4—82no—
1599C2×C4—84no—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4114yes—
1603C2×C4C22×#4112yes—
1604C2×C4C2×H(5,𝔽2)12yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×H(5,𝔽2)12yes—
1607C2×C4C2×2−1+414yes—
1608C2×C4C2×2−1+412yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22C23×#4111yescharacteristic
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C22×2−1+411yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C22C2×#58511yescharacteristic
1645C222−1+611yescharacteristic
1646C4—24no—
1647C4—24no—
1648C4—22no—
1649C4—24no—
1650C4—22no—
1651C4—41no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—44no—
1666C4—41no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—41no—
1671C4—41no—
1672C4—42no—
1673C4—42no—
1674C4—44no—
1675C4#351114yes—
1676C4#353914yes—
1677C2—42no—
1678C2—42no—
1679C2—82no—
1680C2—82no—
1681C2C2×#353911yescharacteristic
1682C2C2×#351111yescharacteristic
1683C2#6281611yescharacteristic
1684C2#6295311yescharacteristic
1685C2#6295411yescharacteristic
1686C2#6299511yescharacteristic
1687C2#6302311yescharacteristic
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. #59692C2semidirect
2. #59566C2semidirect
3. #59437C2semidirect
4. #59055C2semidirect
5. #59050C2semidirect
6. #51193C2semidirect
7. #50946C2semidirect
8. #45677C2semidirect
9. #45669C2semidirect
10. #45405C2semidirect
11. #45382C2semidirect
12. #44332C2semidirect
13. #42725C2semidirect
14. #42722C2semidirect
15. #42028C2semidirect
16. #39962C2semidirect
17. #39914C2semidirect
18. #39900C2semidirect
19. #39791C2semidirect
20. #38986C2semidirect
21. #38922C2semidirect
22. #38131C2semidirect
23. #36579C2semidirect
24. #36272C2semidirect
25. #36210C2semidirect
26. #36193C2semidirect
27. #36185C2semidirect
28. #36151C2semidirect
29. #35241C2semidirect
30. #35196C2semidirect
31. #35176C2semidirect
32. #34953C2semidirect
33. #34708C2semidirect
34. #34462C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#596922
#595662
#594372
#590552
#590502
#511932
#509462
#456772
#456692
#454052
#453822
#443322
#427252
#427222
#420282
#399622
#399142
#399002
#397912
#389862
#389222
#381312
#365792
#362722
#362102
#361932
#361852
#361512
#352412
#351962
#351762
#349532
#347082
#344622
C4×#5532