Finite Group Databasebeta

← #8424600

Subgroups — #8424600

Order 512.

5140 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59410C212yesmaximal, complemented
2#59410C211yesmaximal, characteristic, complemented
3#59313C211yesmaximal, characteristic, complemented
4#59244C211yesmaximal, characteristic, complemented
5#59040C212yesmaximal, complemented
6#58630C214yesmaximal, complemented
7#58600C214yesmaximal, complemented
8#53066C212yesmaximal, complemented
9#53062C212yesmaximal, complemented
10#53007C212yesmaximal, complemented
11#52982C212yesmaximal, complemented
12#52459C214yesmaximal, complemented
13#42928C212yesmaximal, complemented
14#42534C212yesmaximal, complemented
15#42476C212yesmaximal, complemented
16#42421C212yesmaximal, complemented
17#40921C214yesmaximal, complemented
18#40221C212yesmaximal, complemented
19#39996C212yesmaximal, complemented
20#39340C211yesmaximal, characteristic, complemented
21#39136C211yesmaximal, characteristic, complemented
22#38960C212yesmaximal, complemented
23#38923C211yesmaximal, characteristic, complemented
24#38920C211yesmaximal, characteristic, complemented
25#37781C212yesmaximal, complemented
26#37621C211yesmaximal, characteristic, complemented
27#37620C211yesmaximal, characteristic, complemented
28#37570C212yesmaximal, complemented
29#37512C212yesmaximal, complemented
30#36555C211yesmaximal, characteristic, complemented
31#36468C211yesmaximal, characteristic, complemented
32#36189C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34929C211yesmaximal, characteristic, complemented
35#34889C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#553C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#547C2212yes—
42C2×#537C2212yes—
43C2×#533C2212yes—
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×#529C2211yescharacteristic
48#2864C2212yes—
49#2859C2211yescharacteristic
50#2857C2211yescharacteristic
51#2857C2211yescharacteristic
52#2854C2212yes—
53#2841C2214yes—
54#2839C2214yes—
55#2837C2214yes—
56#2837C2214yes—
57#2831C2214yes—
58#2829C2214yes—
59#2829C2214yes—
60#2828C2214yes—
61#2827C2214yes—
62#2823C2214yes—
63#2823C2214yes—
64#2813C2214yes—
65#2813C2214yes—
66#2813C2214yes—
67#2800C2214yes—
68#2797C2214yes—
69#2793C2214yes—
70#2792C2214yes—
71#2780C2214yes—
72#2755C2214yes—
73#2752C2214yes—
74#2750C2214yes—
75#2747C2214yes—
76#2727C2214yes—
77#2722C2214yes—
78#2718C2214yes—
79#2715C2214yes—
80#2711C2214yes—
81#2706C2214yes—
82#2705C2214yes—
83#2705C2214yes—
84#2705C2214yes—
85#2705C2214yes—
86#2705C2214yes—
87#2704C2214yes—
88#2702C2214yes—
89#2696C2214yes—
90#2695C2214yes—
91#2695C2214yes—
92#2694C2214yes—
93#2694C2214yes—
94#2692C2214yes—
95#2691C2214yes—
96#2682C2214yes—
97#2681C2214yes—
98#2680C2214yes—
99#2676C2214yes—
100#2673C2214yes—
101#2672C2214yes—
102#2672C2214yes—
103#2671C2214yes—
104#2662C2214yes—
105#2661C2214yes—
106#2649C2214yes—
107#2648C2214yes—
108#2648C2214yes—
109#2648C2214yes—
110#2637C2214yes—
111#2636C2214yes—
112#2630C2214yes—
113#2629C2212yes—
114#2629C2212yes—
115#2628C2212yes—
116#2625C2212yes—
117#2624C2212yes—
118#2620C2212yes—
119#2620C2212yes—
120#2620C2212yes—
121#2619C2212yes—
122#2618C2214yes—
123#2616C2212yes—
124#2616C2212yes—
125#2615C2212yes—
126#2615C2214yes—
127#2602C2214yes—
128#2587C2214yes—
129#2587C2214yes—
130#2582C2211yescharacteristic
131#2574C2214yes—
132#2570C2212yes—
133#2562C2212yes—
134#2562C2212yes—
135#2559C2212yes—
136#2559C2214yes—
137#2557C2212yes—
138#2556C2214yes—
139#2554C2214yes—
140#2554C2214yes—
141#2554C2214yes—
142#2554C2212yes—
143#2554C2212yes—
144#2552C2211yescharacteristic
145#2551C2211yescharacteristic
146#2550C2211yescharacteristic
147#2548C2211yescharacteristic
148#2547C2212yes—
149#2546C2211yescharacteristic
150#2544C2211yescharacteristic
151#2542C2212yes—
152#2542C2211yescharacteristic
153#2541C2211yescharacteristic
154#2540C2211yescharacteristic
155#2540C2212yes—
156#2540C2212yes—
157#2540C2212yes—
158#2538C2214yes—
159#2538C2211yescharacteristic
160#2538C2211yescharacteristic
161#2538C2212yes—
162#2538C2211yescharacteristic
163#2538C2212yes—
164#2538C2211yescharacteristic
165#2537C2212yes—
166#2537C2211yescharacteristic
167#2537C2211yescharacteristic
168#2537C2211yescharacteristic
169#2535C2211yescharacteristic
170#2535C2212yes—
171#2522C2214yes—
172#2521C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2511C2212yes—
176#2507C2212yes—
177#2506C2212yes—
178#2497C2212yes—
179#2497C2212yes—
180#2496C2212yes—
181#2496C2212yes—
182#2492C2212yes—
183#2492C2211yescharacteristic
184#2491C2212yes—
185#2490C2211yescharacteristic
186#2490C2211yescharacteristic
187#2490C2211yescharacteristic
188#2489C2212yes—
189#2487C2212yes—
190#2487C2212yes—
191#2486C2212yes—
192#2486C2212yes—
193#2485C2212yes—
194#2485C2212yes—
195#2476C2214yes—
196#2476C2214yes—
197#2471C2214yes—
198#2471C2214yes—
199#2469C2214yes—
200#2465C2214yes—
201#2464C2212yes—
202#2454C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2452C2212yes—
206#2445C2212yes—
207#2442C2212yes—
208#2441C2212yes—
209#2441C2212yes—
210#2440C2212yes—
211#2440C2212yes—
212#2440C2212yes—
213#2439C2212yes—
214#2432C2212yes—
215#2431C2212yes—
216#2431C2214yes—
217#2429C2212yes—
218#2429C2212yes—
219#2428C2211yescharacteristic
220#2428C2212yes—
221#2428C2212yes—
222#2427C2212yes—
223#2427C2211yescharacteristic
224#2426C2212yes—
225#2426C2214yes—
226#2426C2211yescharacteristic
227#2426C2211yescharacteristic
228#2426C2212yes—
229#2423C2214yes—
230#2423C2212yes—
231#2423C2212yes—
232#2423C2214yes—
233#2423C2212yes—
234#2422C2212yes—
235#2422C2212yes—
236#2421C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2417C2212yes—
241#2417C2212yes—
242#2417C2212yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2414C2212yes—
250#2414C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2214yes—
254#2406C2214yes—
255#2396C2214yes—
256#2395C2212yes—
257#2392C2212yes—
258#2392C2212yes—
259#2388C2212yes—
260#2365C2212yes—
261#2360C2212yes—
262#2360C2212yes—
263#2354C2211yescharacteristic
264#2352C2212yes—
265#2352C2212yes—
266#2352C2212yes—
267Q8×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2211yescharacteristic
270#2345C2212yes—
271#2345C2212yes—
272#2341C2212yes—
273#2341C2214yes—
274#2333C2214yes—
275#2323C2212yes—
276#2317C2212yes—
277#2316C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2211yescharacteristic
280C4×#127C2212yes—
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2293C2212yes—
293#2293C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2314yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#556—48no—
303#556—44no—
304#553—48no—
305#547—48no—
306#547—48no—
307#547—44no—
308#537—48no—
309#533—48no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×#127C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319#529—44no—
320#529—44no—
321#529—44no—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#125C2311yescharacteristic
333C2×#125C2314yes—
334C2×#124C2311yescharacteristic
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#121C2311yescharacteristic
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2314yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2314yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2314yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2312yes—
452#399C2314yes—
453#399C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2314yes—
470#398C2312yes—
471#398C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#396C2312yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2312yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2312yes—
514#395C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#393C2314yes—
551#393C2312yes—
552#393C2314yes—
553#393C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2312yes—
567#392C2312yes—
568#392C2312yes—
569#391C2312yes—
570#391C2314yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2314yes—
578#391C2311yescharacteristic
579#391C2312yes—
580#391C2311yescharacteristic
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2314yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2314yes—
635#389C2314yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2312yes—
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2314yes—
738#384C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2312yes—
742#384C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2314yes—
746#382C2311yescharacteristic
747#381C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2312yes—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—48no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—48no—
829C2×#41—48no—
830C2×#41—44no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×Q8C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2414yes—
873C4⋊Q8—28no—
874C4⋊Q8—28no—
875C4⋊Q8—24no—
876C4⋊Q8—42no—
877C4⋊Q8—44no—
878#127—42no—
879#127—42no—
880#127—44no—
881#126—44no—
882#126—44no—
883#126—44no—
884#126—48no—
885#126—48no—
886#126—48no—
887#126—48no—
888#125—42no—
889#125—42no—
890#125—42no—
891#125—44no—
892#125—48no—
893#124—24no—
894#124—44no—
895#124—42no—
896#124—42no—
897#124—42no—
898#124—44no—
899#124—48no—
900#123—48no—
901#123—44no—
902#123—44no—
903#123—44no—
904#123—48no—
905#123—48no—
906#123—48no—
907#123—48no—
908#123—48no—
909C22⋊Q8—28no—
910C22⋊Q8—24no—
911C22⋊Q8—48no—
912C22⋊Q8—48no—
913C22⋊Q8—48no—
914C22⋊Q8—48no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—42no—
919C22⋊Q8—42no—
920C22⋊Q8—42no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926#121—24no—
927#121—24no—
928#121—24no—
929#121—44no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—42no—
936#121—42no—
937#121—42no—
938#121—42no—
939#121—42no—
940#121—44no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—48no—
948C4×Q8—24no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—42no—
952C4×Q8—44no—
953C4×Q8—48no—
954C4×Q8—48no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×D4—24no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—24no—
961C4×D4—24no—
962C4×D4—24no—
963C4×D4—24no—
964C4×D4—28no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—42no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—48no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—42no—
978#117—28no—
979#117—44no—
980#117—44no—
981#117—44no—
982#117—48no—
983#117—44no—
984#117—44no—
985C2×C4⋊C4—28no—
986C2×C4⋊C4—28no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C42—24no—
1133C2×C42—24no—
1134C2×C42—44no—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163#95C2414yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2411yescharacteristic
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24C2511yescharacteristic
1216C24C2512yes—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2512yes—
1220C24C2511yescharacteristic
1221#41—816no—
1222#41—816no—
1223#41—832no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—28no—
1230C2×Q8—28no—
1231C2×Q8—24no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—24no—
1235C2×Q8—44no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—41no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C22×C4—22no—
1303C22×C4—28no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—28no—
1332C22×C4—28no—
1333C22×C4—24no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—41no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—41no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—41no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2514yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—28no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—28no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—44no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4H(5,𝔽2)14yes—
1447C4⋊C4H(5,𝔽2)14yes—
1448C22⋊C4—22no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C42—22no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—24no—
1528C42—28no—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—22no—
1533C42—24no—
1534C42—22no—
1535C42—42no—
1536C42—42no—
1537C42—41no—
1538C42—42no—
1539C42—44no—
1540C42—44no—
1541C42—44no—
1542C42—41no—
1543C42—42no—
1544C42—44no—
1545C42—42no—
1546C42H(5,𝔽2)14yes—
1547C422−1+414yes—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—22no—
1588C23—22no—
1589C23#58512yes—
1590C23C2611yescharacteristic
1591Q8—416no—
1592Q8—44no—
1593Q8—48no—
1594Q8—44no—
1595Q8—84no—
1596D4—44no—
1597D4—48no—
1598D4—48no—
1599D4—44no—
1600D4—44no—
1601D4—44no—
1602D4—44no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—84no—
1607D4—88no—
1608D4—84no—
1609D4—84no—
1610D4—84no—
1611D4—84no—
1612D4—84no—
1613D4—84no—
1614D4—88no—
1615D4—88no—
1616D4—164no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—44no—
1694C2×C4—48no—
1695C2×C4—44no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—44no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—48no—
1702C2×C4—48no—
1703C2×C4—84no—
1704C2×C4—82no—
1705C2×C4—88no—
1706C2×C4—88no—
1707C2×C4—88no—
1708C2×C4—88no—
1709C2×C4C2×H(5,𝔽2)12yes—
1710C2×C4C2×H(5,𝔽2)14yes—
1711C2×C4C2×H(5,𝔽2)14yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×2−1+412yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4#58512yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—41no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—41no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C22×2−1+411yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C222−1+611yescharacteristic
1769C4—22no—
1770C4—24no—
1771C4—24no—
1772C4—22no—
1773C4—22no—
1774C4—41no—
1775C4—42no—
1776C4—41no—
1777C4—42no—
1778C4—44no—
1779C4—42no—
1780C4—41no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—41no—
1786C4—44no—
1787C4—44no—
1788C4—42no—
1789C4—42no—
1790C4—44no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—42no—
1795C4—42no—
1796C4#354614yes—
1797C4#354814yes—
1798C2—42no—
1799C2—81no—
1800C2—82no—
1801C2—82no—
1802C2—82no—
1803C2—82no—
1804C2C2×#354611yescharacteristic
1805C2#6275211yescharacteristic
1806C2C2×#354811yescharacteristic
1807C2#6291311yescharacteristic
1808C2#6292211yescharacteristic
1809C2#6292711yescharacteristic
1810C2#6301211yescharacteristic
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. #59410C2semidirect
2. #59410C2semidirect
3. #59313C2semidirect
4. #59244C2semidirect
5. #59040C2semidirect
6. #58630C2semidirect
7. #58600C2semidirect
8. #53066C2semidirect
9. #53062C2semidirect
10. #53007C2semidirect
11. #52982C2semidirect
12. #52459C2semidirect
13. #42928C2semidirect
14. #42534C2semidirect
15. #42476C2semidirect
16. #42421C2semidirect
17. #40921C2semidirect
18. #40221C2semidirect
19. #39996C2semidirect
20. #39340C2semidirect
21. #39136C2semidirect
22. #38960C2semidirect
23. #38923C2semidirect
24. #38920C2semidirect
25. #37781C2semidirect
26. #37621C2semidirect
27. #37620C2semidirect
28. #37570C2semidirect
29. #37512C2semidirect
30. #36555C2semidirect
31. #36468C2semidirect
32. #36189C2semidirect
33. #34934C2semidirect
34. #34929C2semidirect
35. #34889C2semidirect

Maximal subgroups

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

subgroupindex
#594102
#593132
#592442
#590402
#586302
#586002
#530662
#530622
#530072
#529822
#524592
#429282
#425342
#424762
#424212
#409212
#402212
#399962
#393402
#391362
#389602
#389232
#389202
#377812
#376212
#376202
#375702
#375122
#365552
#364682
#361892
#349342
#349292
#348892