Finite Group Databasebeta

← #8429458

Subgroups — #8429458

Order 512.

4304 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59869C211yesmaximal, characteristic, complemented
2#59629C212yesmaximal, complemented
3#59489C212yesmaximal, complemented
4#59144C211yesmaximal, characteristic, complemented
5#59071C211yesmaximal, characteristic, complemented
6#57412C214yesmaximal, complemented
7#54308C214yesmaximal, complemented
8#53148C212yesmaximal, complemented
9#53144C212yesmaximal
10#53085C212yesmaximal, complemented
11#53070C212yesmaximal, complemented
12#52608C214yesmaximal, complemented
13#42851C212yesmaximal, complemented
14#42785C212yesmaximal, complemented
15#42771C212yesmaximal, complemented
16#42763C212yesmaximal, complemented
17#40877C214yesmaximal, complemented
18#39811C212yesmaximal, complemented
19#39695C212yesmaximal, complemented
20#39663C212yesmaximal, complemented
21#39214C212yesmaximal, complemented
22#39200C211yesmaximal, characteristic, complemented
23#39170C211yesmaximal, characteristic, complemented
24#39159C211yesmaximal, characteristic, complemented
25#39139C211yesmaximal, characteristic, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37630C212yesmaximal, complemented
28#37617C211yesmaximal, characteristic, complemented
29#37526C212yesmaximal, complemented
30#36505C211yesmaximal, characteristic, complemented
31#36288C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33#34979C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2862C2211yescharacteristic
43#2862C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2839C2214yes—
48#2839C2214yes—
49#2838C2214yes—
50#2837C2214yes—
51#2837C2214yes—
52#2837C2214yes—
53#2835C2214yes—
54#2834C2214yes—
55#2832C2214yes—
56#2832C2214yes—
57#2831C2214yes—
58#2831C2214yes—
59#2824C2214yes—
60#2821C2214yes—
61#2809C2214yes—
62#2807C2214yes—
63#2807C2214yes—
64#2807C2214yes—
65#2806C2214yes—
66#2805C2214yes—
67#2804C2214yes—
68#2801C2214yes—
69#2798C2214yes—
70#2793C2214yes—
71#2788C2214yes—
72#2787C2214yes—
73#2782C2214yes—
74#2781C2214yes—
75#2774C2214yes—
76#2773C2214yes—
77#2773C2214yes—
78#2768C2214yes—
79#2767C2214yes—
80#2763C2214yes—
81#2759C2214yes—
82#2758C2214yes—
83#2755C2214yes—
84#2754C2214yes—
85#2754C2214yes—
86#2754C2214yes—
87#2754C2214yes—
88#2754C2214yes—
89#2753C2214yes—
90#2745C2214yes—
91#2741C2214yes—
92#2721C2214yes—
93#2719C2214yes—
94#2719C2214yes—
95#2719C2214yes—
96#2713C2214yes—
97#2694C2214yes—
98#2666C2214yes—
99#2666C2214yes—
100#2658C2212yes—
101#2655C2214yes—
102#2655C2214yes—
103#2655C2214yes—
104#2654C2214yes—
105#2650C2214yes—
106#2649C2214yes—
107#2647C2214yes—
108#2645C2214yes—
109#2645C2212yes—
110#2645C2212yes—
111#2642C2212yes—
112#2642C2212yes—
113#2640C2212yes—
114#2628C2212yes—
115#2628C2212yes—
116#2628C2212yes—
117#2625C2212yes—
118#2625C2212yes—
119#2623C2214yes—
120#2621C2212yes—
121#2612C2214yes—
122#2611C2214yes—
123#2607C2214yes—
124#2592C2212yes—
125#2589C2214yes—
126#2589C2214yes—
127#2589C2214yes—
128#2589C2214yes—
129#2586C2214yes—
130#2582C2212yes—
131#2575C2214yes—
132#2574C2214yes—
133#2571C2212yes—
134#2568C2211yescharacteristic
135#2568C2211yescharacteristic
136#2568C2212yes—
137#2568C2212yes—
138#2568C2212yes—
139#2565C2212yes—
140#2562C2212yes—
141#2553C2214yes—
142#2552C2212yes—
143#2551C2211yescharacteristic
144#2550C2212yes—
145#2550C2212yes—
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2546C2212yes—
149#2546C2211yescharacteristic
150#2546C2212yes—
151#2546C2211yescharacteristic
152#2546C2212yes—
153#2546C2211yescharacteristic
154#2542C2212yes—
155#2542C2211yescharacteristic
156#2538C2211yescharacteristic
157#2536C2212yes—
158#2536C2212yes—
159#2533C2212yes—
160#2532C2214yes—
161#2531C2214yes—
162#2527C2212yes—
163#2523C2214yes—
164#2523C2212yes—
165#2517C2214yes—
166#2514C2212yes—
167#2514C2211yescharacteristic
168#2511C2212yes—
169#2511C2214yes—
170#2511C2214yes—
171#2509C2211yescharacteristic
172#2509C2214yes—
173#2508C2212yes—
174#2508C2212yes—
175#2508C2214yes—
176#2508C2212yes—
177#2499C2212yes—
178#2499C2211yescharacteristic
179#2496C2211yescharacteristic
180#2495C2212yes—
181#2494C2212yes—
182#2492C2212yes—
183#2492C2212yes—
184#2492C2212yes—
185#2492C2212yes—
186#2492C2212yes—
187#2492C2212yes—
188#2492C2211yescharacteristic
189#2490C2212yes—
190#2489C2212yes—
191#2487C2212yes—
192#2487C2212yes—
193#2485C2211yescharacteristic
194#2478C2212yes—
195#2475C2214yes—
196#2475C2214yes—
197#2473C2214yes—
198#2470C2212yes—
199#2466C2212yes—
200#2466C2212yes—
201#2460C2214yes—
202#2455C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2453C2212yes—
206#2453C2211yescharacteristic
207#2451C2212yes—
208#2451C2212yes—
209#2451C2212yes—
210#2448C2212yes—
211#2448C2212yes—
212#2448C2212yes—
213#2447C2211yescharacteristic
214#2446C2212yes—
215#2446C2212yes—
216#2446C2212yes—
217#2446C2212yes—
218#2446C2212yes—
219#2446C2212yes—
220#2442C2212yes—
221#2442C2212yes—
222#2441C2211yescharacteristic
223#2439C2212yes—
224#2439C2211yescharacteristic
225#2439C2212yes—
226#2436C2212yes—
227#2434C2212yes—
228#2434C2212yes—
229#2432C2211yescharacteristic
230#2432C2212yes—
231#2432C2212yes—
232#2429C2212yes—
233#2429C2212yes—
234#2429C2212yes—
235#2429C2212yes—
236#2429C2211yescharacteristic
237#2423C2212yes—
238#2423C2212yes—
239#2422C2211yescharacteristic
240#2421C2212yes—
241#2421C2212yes—
242#2417C2212yes—
243#2415C2211yescharacteristic
244#2415C2212yes—
245#2415C2212yes—
246#2415C2211yescharacteristic
247#2409C2212yes—
248#2407C2211yescharacteristic
249#2401C2212yes—
250#2398C2212yes—
251#2395C2212yes—
252#2395C2214yes—
253#2392C2212yes—
254#2374C2214yes—
255#2369C2212yes—
256#2369C2212yes—
257#2367C2212yes—
258#2365C2211yescharacteristic
259#2365C2211yescharacteristic
260#2365C2212yes—
261#2362C2212yes—
262#2360C2212yes—
263#2360C2212yes—
264#2355C2212yes—
265#2355C2211yescharacteristic
266#2355C2211yescharacteristic
267#2352C2212yes—
268#2351C2212yes—
269#2346C2212yes—
270Q8×C22⋊C4C2212yes—
271Q8×C22⋊C4C2212yes—
272#2334C2214yes—
273#2331C2212yes—
274#2327C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2212yes—
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#123C2212yes—
291#2296C2212yes—
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2295C2212yes—
295#2293C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301#557—44no—
302#557—44no—
303#533—44no—
304C2×C4⋊Q8—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320#529—44no—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2311yescharacteristic
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C4×#41—44no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382#401C2312yes—
383#401C2314yes—
384#401C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2312yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2312yes—
478#397C2312yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2314yes—
513#393C2314yes—
514#393C2312yes—
515#392C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2314yes—
526#391C2314yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2314yes—
539#391C2314yes—
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#391C2312yes—
545#391C2314yes—
546#391C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2314yes—
551#391C2311yescharacteristic
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#390C2311yescharacteristic
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#385C2314yes—
701#385C2312yes—
702#385C2314yes—
703#385C2312yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2311yescharacteristic
723#384C2314yes—
724#383C2312yes—
725#383C2312yes—
726#383C2314yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2314yes—
733#382C2312yes—
734#382C2314yes—
735#382C2314yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2311yescharacteristic
741#381C2312yes—
742#381C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2414yes—
844C23×C4C2412yes—
845C4⋊Q8—24no—
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—42no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860#126—28no—
861#126—44no—
862#125—42no—
863#125—44no—
864#125—44no—
865#125—44no—
866#125—48no—
867#125—48no—
868#124—44no—
869#124—44no—
870#124—42no—
871#123—28no—
872#123—44no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—44no—
876C22⋊Q8—42no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—42no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885#121—42no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—24no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—42no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×D4—24no—
901C4×D4—24no—
902C4×D4—42no—
903C4×D4—42no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908#117—24no—
909#117—44no—
910#117—44no—
911#117—44no—
912#117—42no—
913#117—42no—
914#117—44no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C42—24no—
1036C2×C42—24no—
1037C2×C42—44no—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2411yescharacteristic
1090#95C2411yescharacteristic
1091#95C2412yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2414yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
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#95C2414yes—
1160C24C2512yes—
1161C24C2511yescharacteristic
1162C24C2511yescharacteristic
1163#41—416no—
1164C2×Q8—22no—
1165C2×Q8—22no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—816no—
1192C2×D4—22no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—42no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—42no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—44no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2514yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2514yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C42−1+414yes—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—22no—
1350C22⋊C4—24no—
1351C22⋊C4—28no—
1352C22⋊C4—24no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C42−1+414yes—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—24no—
1391C42—24no—
1392C42—24no—
1393C42—24no—
1394C42—22no—
1395C42—24no—
1396C42—22no—
1397C42—22no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—42no—
1405C42—42no—
1406C42—42no—
1407C42—44no—
1408C42—41no—
1409C42—44no—
1410C42—42no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42H(5,𝔽2)14yes—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—22no—
1425C23—21no—
1426C23—21no—
1427C23—22no—
1428C23—21no—
1429C23—22no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—22no—
1435C23—21no—
1436C23—21no—
1437C23—22no—
1438C23C2×2−1+412yes—
1439C23C2611yescharacteristic
1440Q8—44no—
1441Q8—48no—
1442Q8—48no—
1443Q8—44no—
1444Q8—44no—
1445Q8—48no—
1446Q8—84no—
1447Q8—88no—
1448Q8—164no—
1449D4—44no—
1450D4—48no—
1451D4—44no—
1452D4—84no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—48no—
1547C2×C4—84no—
1548C2×C4—88no—
1549C2×C4C2×H(5,𝔽2)12yes—
1550C2×C4C2×H(5,𝔽2)12yes—
1551C2×C4C2×H(5,𝔽2)12yes—
1552C2×C4C2×2−1+412yes—
1553C2×C4C2×2−1+414yes—
1554C2×C4C2×2−1+412yes—
1555C2×C4C2×2−1+412yes—
1556C2×C4#58512yes—
1557C2×C4#58512yes—
1558C2×C4#58512yes—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—42no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—41no—
1571C22—42no—
1572C22—41no—
1573C22—42no—
1574C22—41no—
1575C22—42no—
1576C22—42no—
1577C22—41no—
1578C22—42no—
1579C22—41no—
1580C22C22×H(5,𝔽2)11yescharacteristic
1581C22C22×2−1+411yescharacteristic
1582C22C22×2−1+411yescharacteristic
1583C22C2×#58511yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22C2×#58511yescharacteristic
1586C222−1+611yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—24no—
1591C4—41no—
1592C4—42no—
1593C4—41no—
1594C4—44no—
1595C4—44no—
1596C4—42no—
1597C4—41no—
1598C4—41no—
1599C4—42no—
1600C4—42no—
1601C4—44no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—41no—
1606C4—42no—
1607C4—42no—
1608C4—41no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—41no—
1613C4—41no—
1614C4—44no—
1615C4—42no—
1616C4—42no—
1617C4#354014yes—
1618C4#355414yes—
1619C2—42no—
1620C2—81no—
1621C2—82no—
1622C2C2×#354011yescharacteristic
1623C2C2×#355411yescharacteristic
1624C2#6276111yescharacteristic
1625C2#6294211yescharacteristic
1626C2#6295011yescharacteristic
1627C2#6296811yescharacteristic
1628C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59869C2semidirect
2. #59629C2semidirect
3. #59489C2semidirect
4. #59144C2semidirect
5. #59071C2semidirect
6. #57412C2semidirect
7. #54308C2semidirect
8. #53148C2semidirect
10. #53085C2semidirect
11. #53070C2semidirect
12. #52608C2semidirect
13. #42851C2semidirect
14. #42785C2semidirect
15. #42771C2semidirect
16. #42763C2semidirect
17. #40877C2semidirect
18. #39811C2semidirect
19. #39695C2semidirect
20. #39663C2semidirect
21. #39214C2semidirect
22. #39200C2semidirect
23. #39170C2semidirect
24. #39159C2semidirect
25. #39139C2semidirect
26. #37631C2semidirect
27. #37630C2semidirect
28. #37617C2semidirect
29. #37526C2semidirect
30. #36505C2semidirect
31. #36288C2semidirect
32. #36129C2semidirect
33. #34979C2semidirect
34. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#598692
#596292
#594892
#591442
#590712
#574122
#543082
#531482
#531442
#530852
#530702
#526082
#428512
#427852
#427712
#427632
#408772
#398112
#396952
#396632
#392142
#392002
#391702
#391592
#391392
#376312
#376302
#376172
#375262
#365052
#362882
#361292
#349792
#348032
#347242