Finite Group Databasebeta

← #8463241

Subgroups — #8463241

Order 512.

4702 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59444C211yesmaximal, characteristic, complemented
2#59127C211yesmaximal, characteristic, complemented
3#59052C211yesmaximal, characteristic, complemented
4#56457C214yesmaximal, complemented
5#54548C214yesmaximal, complemented
6#54130C214yesmaximal, complemented
7#53137C212yesmaximal, complemented
8#53091C212yesmaximal, complemented
9#51841C214yesmaximal, complemented
10#46113C212yesmaximal, complemented
11#45677C212yesmaximal, complemented
12#45416C212yesmaximal, complemented
13#45003C212yesmaximal, complemented
14#42831C212yesmaximal, complemented
15#42808C212yesmaximal, complemented
16#42590C212yesmaximal, complemented
17#42464C212yesmaximal, complemented
18#39618C211yesmaximal, characteristic, complemented
19#39487C212yesmaximal, complemented
20#39479C211yesmaximal, characteristic, complemented
21#38986C211yesmaximal, characteristic, complemented
22#38967C212yesmaximal, complemented
23#38911C211yesmaximal, characteristic, complemented
24#38252C212yesmaximal, complemented
25#38122C212yesmaximal, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37398C212yesmaximal, complemented
28#37313C212yesmaximal, complemented
29#36275C211yesmaximal, characteristic, complemented
30#36272C211yesmaximal, characteristic, complemented
31#36129C211yesmaximal, characteristic, complemented
32#35279C211yesmaximal, characteristic, complemented
33#35201C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#552C2212yes—
38C2×#552C2212yes—
39C2×D4×Q8C2212yes—
40C2×D4×Q8C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2862C2211yescharacteristic
46#2861C2212yes—
47#2859C2212yes—
48#2859C2212yes—
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2857C2212yes—
53#2855C2212yes—
54#2839C2214yes—
55#2838C2214yes—
56#2838C2214yes—
57#2838C2214yes—
58#2833C2214yes—
59#2826C2214yes—
60#2824C2214yes—
61#2821C2214yes—
62#2807C2214yes—
63#2805C2214yes—
64#2802C2214yes—
65#2796C2214yes—
66#2792C2214yes—
67#2789C2214yes—
68#2788C2214yes—
69#2788C2214yes—
70#2783C2214yes—
71#2778C2214yes—
72#2778C2214yes—
73#2778C2214yes—
74#2776C2214yes—
75#2775C2214yes—
76#2774C2214yes—
77#2771C2214yes—
78#2768C2214yes—
79#2765C2214yes—
80#2758C2214yes—
81#2754C2214yes—
82#2750C2214yes—
83#2746C2214yes—
84#2745C2214yes—
85#2743C2214yes—
86#2742C2214yes—
87#2742C2214yes—
88#2737C2214yes—
89#2732C2214yes—
90#2727C2214yes—
91#2726C2214yes—
92#2725C2214yes—
93#2725C2214yes—
94#2725C2214yes—
95#2720C2214yes—
96#2720C2214yes—
97#2713C2214yes—
98#2704C2214yes—
99#2702C2214yes—
100#2698C2214yes—
101#2696C2214yes—
102#2696C2214yes—
103#2694C2214yes—
104#2692C2214yes—
105#2692C2214yes—
106#2691C2214yes—
107#2689C2214yes—
108#2687C2214yes—
109#2687C2214yes—
110#2677C2214yes—
111#2663C2214yes—
112#2660C2212yes—
113#2655C2214yes—
114#2653C2214yes—
115#2649C2214yes—
116#2647C2212yes—
117#2645C2212yes—
118#2645C2212yes—
119#2645C2212yes—
120#2642C2212yes—
121#2636C2214yes—
122#2628C2214yes—
123#2628C2214yes—
124#2625C2212yes—
125#2624C2212yes—
126#2618C2214yes—
127#2611C2214yes—
128#2604C2214yes—
129#2598C2214yes—
130#2582C2211yescharacteristic
131#2578C2214yes—
132#2571C2212yes—
133#2570C2212yes—
134#2569C2214yes—
135#2568C2211yescharacteristic
136#2568C2211yescharacteristic
137#2567C2212yes—
138#2567C2211yescharacteristic
139#2566C2212yes—
140#2563C2212yes—
141#2563C2212yes—
142#2563C2211yescharacteristic
143#2562C2212yes—
144#2553C2214yes—
145#2552C2212yes—
146#2552C2212yes—
147#2552C2211yescharacteristic
148#2551C2212yes—
149#2550C2212yes—
150#2550C2212yes—
151#2546C2211yescharacteristic
152#2542C2211yescharacteristic
153#2542C2211yescharacteristic
154#2542C2212yes—
155#2542C2211yescharacteristic
156#2536C2212yes—
157#2530C2212yes—
158#2528C2212yes—
159#2517C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2514C2212yes—
163#2512C2212yes—
164#2512C2212yes—
165#2511C2211yescharacteristic
166#2511C2212yes—
167#2510C2214yes—
168#2509C2212yes—
169#2509C2212yes—
170#2506C2211yescharacteristic
171#2500C2212yes—
172#2499C2212yes—
173#2499C2211yescharacteristic
174#2498C2214yes—
175#2498C2214yes—
176#2496C2212yes—
177#2496C2212yes—
178#2494C2211yescharacteristic
179#2492C2212yes—
180#2492C2212yes—
181#2489C2212yes—
182#2489C2211yescharacteristic
183#2487C2212yes—
184#2487C2214yes—
185#2485C2212yes—
186#2485C2211yescharacteristic
187#2481C2214yes—
188#2479C2214yes—
189#2479C2212yes—
190#2477C2214yes—
191#2471C2212yes—
192#2467C2212yes—
193#2466C2214yes—
194#2460C2212yes—
195#2457C2214yes—
196#2456C2212yes—
197#2454C2211yescharacteristic
198#2454C2212yes—
199#2453C2212yes—
200#2453C2212yes—
201#2453C2212yes—
202#2452C2212yes—
203#2451C2212yes—
204#2449C2214yes—
205#2449C2214yes—
206#2448C2211yescharacteristic
207#2447C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2445C2212yes—
211#2442C2212yes—
212#2442C2214yes—
213#2441C2212yes—
214#2441C2211yescharacteristic
215#2441C2212yes—
216#2441C2211yescharacteristic
217#2441C2212yes—
218#2440C2212yes—
219#2439C2214yes—
220#2439C2212yes—
221#2438C2214yes—
222#2434C2212yes—
223#2431C2211yescharacteristic
224#2429C2212yes—
225#2429C2212yes—
226#2429C2212yes—
227#2428C2211yescharacteristic
228#2423C2211yescharacteristic
229#2423C2214yes—
230#2422C2212yes—
231#2420C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2417C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2415C2212yes—
239#2415C2211yescharacteristic
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2414C2211yescharacteristic
245#2409C2212yes—
246#2409C2212yes—
247#2409C2212yes—
248#2409C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2409C2212yes—
252#2407C2211yescharacteristic
253#2401C2212yes—
254#2397C2212yes—
255#2395C2212yes—
256#2392C2212yes—
257#2383C2214yes—
258#2369C2211yescharacteristic
259#2365C2211yescharacteristic
260#2363C2212yes—
261#2361C2212yes—
262#2360C2212yes—
263#2360C2212yes—
264#2360C2212yes—
265#2354C2212yes—
266#2354C2211yescharacteristic
267#2352C2212yes—
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270Q8×C22⋊C4C2212yes—
271#2339C2212yes—
272#2328C2212yes—
273#2323C2212yes—
274#2323C2212yes—
275#2320C2212yes—
276#2317C2212yes—
277#2316C2214yes—
278#2314C2212yes—
279#2311C2212yes—
280#2310C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#125C2212yes—
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290#2298C2212yes—
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2293C2212yes—
294C2×#389C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302#554—44no—
303#552—48no—
304#552—48no—
305D4×Q8—44no—
306D4×Q8—48no—
307#533—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319#529—44no—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2311yescharacteristic
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2314yes—
332C2×#124C2311yescharacteristic
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C4×#41—44no—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2314yes—
389C2×#117C2314yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2314yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402#401C2312yes—
403#401C2314yes—
404#401C2314yes—
405#401C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#399C2314yes—
442#399C2312yes—
443#399C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#392C2312yes—
524#392C2312yes—
525#392C2312yes—
526#392C2312yes—
527#392C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2314yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2314yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2314yes—
735#383C2314yes—
736#383C2314yes—
737#382C2312yes—
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2314yes—
745#382C2314yes—
746#382C2312yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813#376C2312yes—
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—42no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—48no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867#127—24no—
868#126—44no—
869#126—48no—
870#126—48no—
871#126—48no—
872#125—24no—
873#125—42no—
874#125—44no—
875#125—48no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—48no—
880#124—42no—
881#123—44no—
882#123—48no—
883#123—48no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—48no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—42no—
894C22⋊Q8—44no—
895C22⋊Q8—42no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903#121—24no—
904#121—24no—
905#121—44no—
906#121—42no—
907C4×Q8—28no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—42no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—24no—
918C4×D4—48no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—44no—
931#117—28no—
932#117—24no—
933#117—44no—
934#117—48no—
935#117—44no—
936#117—42no—
937#117—42no—
938#117—44no—
939#117—44no—
940#117—48no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—48no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C42—24no—
1074C2×C42—24no—
1075C2×C42—44no—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24C2511yescharacteristic
1183C24C2512yes—
1184C24C2511yescharacteristic
1185C24C2512yes—
1186#41—416no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—22no—
1196C2×Q8—22no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—24no—
1200C2×Q8—44no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—42no—
1204C2×Q8—44no—
1205C2×Q8—44no—
1206C2×Q8—44no—
1207C2×Q8—42no—
1208C2×Q8—816no—
1209C2×Q8—816no—
1210C2×D4—22no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D42−1+414yes—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C42−1+414yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2514yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2514yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C4⋊C4—24no—
1311C4⋊C4—28no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—41no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4H(5,𝔽2)14yes—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—22no—
1400C22⋊C4—24no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—24no—
1445C42—28no—
1446C42—24no—
1447C42—24no—
1448C42—22no—
1449C42—24no—
1450C42—24no—
1451C42—24no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—42no—
1456C42—42no—
1457C42—41no—
1458C42—42no—
1459C42—42no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—41no—
1464C42—42no—
1465C42—44no—
1466C42H(5,𝔽2)14yes—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—21no—
1474C23—22no—
1475C23—21no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—21no—
1480C23—22no—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—21no—
1490C23—22no—
1491C23—21no—
1492C23—22no—
1493C23C2×2−1+412yes—
1494C23C2×2−1+414yes—
1495C23C2611yescharacteristic
1496Q8—44no—
1497Q8—48no—
1498Q8—44no—
1499Q8—48no—
1500Q8—84no—
1501Q8—88no—
1502Q8—88no—
1503D4—28no—
1504D4—48no—
1505D4—44no—
1506D4—48no—
1507D4—44no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—28no—
1521C2×C4—22no—
1522C2×C4—21no—
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—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—24no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—44no—
1597C2×C4—416no—
1598C2×C4—48no—
1599C2×C4—44no—
1600C2×C4—48no—
1601C2×C4—44no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—84no—
1605C2×C4—82no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—164no—
1609C2×C4C2×H(5,𝔽2)14yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C22—22no—
1620C22—24no—
1621C22—24no—
1622C22—22no—
1623C22—22no—
1624C22—24no—
1625C22—41no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—42no—
1636C22—41no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—41no—
1646C22—42no—
1647C22C22×H(5,𝔽2)11yescharacteristic
1648C22C22×H(5,𝔽2)11yescharacteristic
1649C22C22×2−1+411yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C222−1+611yescharacteristic
1654C4—22no—
1655C4—24no—
1656C4—22no—
1657C4—22no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—44no—
1666C4—44no—
1667C4—44no—
1668C4—42no—
1669C4—41no—
1670C4—42no—
1671C4—42no—
1672C4—41no—
1673C4—41no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—41no—
1680C4—42no—
1681C4—42no—
1682C4—44no—
1683C4#353814yes—
1684C4#354614yes—
1685C2—42no—
1686C2—44no—
1687C2—81no—
1688C2—82no—
1689C2C2×#353811yescharacteristic
1690C2C2×#354611yescharacteristic
1691C2#6283811yescharacteristic
1692C2#6291311yescharacteristic
1693C2#6295011yescharacteristic
1694C2#6295411yescharacteristic
1695C2#6301311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34727C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59444C2semidirect
2. #59127C2semidirect
3. #59052C2semidirect
4. #56457C2semidirect
5. #54548C2semidirect
6. #54130C2semidirect
7. #53137C2semidirect
8. #53091C2semidirect
9. #51841C2semidirect
10. #46113C2semidirect
11. #45677C2semidirect
12. #45416C2semidirect
13. #45003C2semidirect
14. #42831C2semidirect
15. #42808C2semidirect
16. #42590C2semidirect
17. #42464C2semidirect
18. #39618C2semidirect
19. #39487C2semidirect
20. #39479C2semidirect
21. #38986C2semidirect
22. #38967C2semidirect
23. #38911C2semidirect
24. #38252C2semidirect
25. #38122C2semidirect
26. #37630C2semidirect
27. #37398C2semidirect
28. #37313C2semidirect
29. #36275C2semidirect
30. #36272C2semidirect
31. #36129C2semidirect
32. #35279C2semidirect
33. #35201C2semidirect
34. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#594442
#591272
#590522
#564572
#545482
#541302
#531372
#530912
#518412
#461132
#456772
#454162
#450032
#428312
#428082
#425902
#424642
#396182
#394872
#394792
#389862
#389672
#389112
#382522
#381222
#376302
#373982
#373132
#362752
#362722
#361292
#352792
#352012
#347932
#347272