Finite Group Databasebeta

← #8464301

Subgroups — #8464301

Order 512.

4573 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59443C211yesmaximal, characteristic, complemented
2#59079C211yesmaximal, characteristic, complemented
3#59033C211yesmaximal, characteristic, complemented
4#58091C214yesmaximal, complemented
5#54015C214yesmaximal, complemented
6#53897C214yesmaximal, complemented
7#53069C212yesmaximal, complemented
8#53051C212yesmaximal, complemented
9#48948C214yesmaximal, complemented
10#46108C212yesmaximal, complemented
11#45716C212yesmaximal, complemented
12#45234C212yesmaximal, complemented
13#45129C212yesmaximal, complemented
14#42892C212yesmaximal, complemented
15#42730C212yesmaximal, complemented
16#42730C212yesmaximal, complemented
17#42468C212yesmaximal, complemented
18#39730C212yesmaximal, complemented
19#39537C212yesmaximal, complemented
20#39502C212yesmaximal, complemented
21#39480C211yesmaximal, characteristic, complemented
22#39138C211yesmaximal, characteristic, complemented
23#39126C211yesmaximal, characteristic, complemented
24#39009C212yesmaximal, complemented
25#38952C211yesmaximal, characteristic, complemented
26#37616C211yesmaximal, characteristic, complemented
27#37356C212yesmaximal, complemented
28#37288C212yesmaximal, complemented
29#36463C211yesmaximal, characteristic, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35201C211yesmaximal, characteristic, complemented
33#35196C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42#2861C2212yes—
43#2860C2212yes—
44#2859C2212yes—
45#2858C2211yescharacteristic
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2855C2212yes—
49#2854C2212yes—
50#2850C2212yes—
51#2836C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2827C2214yes—
58#2813C2214yes—
59#2803C2214yes—
60#2803C2214yes—
61#2797C2214yes—
62#2796C2214yes—
63#2795C2214yes—
64#2790C2214yes—
65#2783C2214yes—
66#2783C2214yes—
67#2779C2214yes—
68#2778C2214yes—
69#2778C2214yes—
70#2778C2214yes—
71#2778C2214yes—
72#2776C2214yes—
73#2771C2214yes—
74#2762C2214yes—
75#2761C2214yes—
76#2756C2214yes—
77#2756C2214yes—
78#2756C2214yes—
79#2756C2214yes—
80#2752C2214yes—
81#2749C2214yes—
82#2749C2214yes—
83#2744C2214yes—
84#2743C2214yes—
85#2740C2214yes—
86#2740C2214yes—
87#2738C2214yes—
88#2728C2214yes—
89#2721C2214yes—
90#2718C2214yes—
91#2714C2214yes—
92#2714C2214yes—
93#2709C2214yes—
94#2709C2214yes—
95#2707C2214yes—
96#2707C2214yes—
97#2703C2214yes—
98#2702C2214yes—
99#2695C2214yes—
100#2695C2214yes—
101#2690C2214yes—
102#2688C2214yes—
103#2681C2214yes—
104#2673C2214yes—
105#2673C2214yes—
106#2672C2214yes—
107#2672C2214yes—
108#2663C2214yes—
109#2661C2214yes—
110#2649C2214yes—
111#2648C2214yes—
112#2648C2214yes—
113#2641C2214yes—
114#2636C2214yes—
115#2635C2214yes—
116#2629C2212yes—
117#2625C2212yes—
118#2620C2212yes—
119#2620C2212yes—
120#2620C2212yes—
121#2620C2212yes—
122#2619C2212yes—
123#2619C2212yes—
124#2604C2214yes—
125#2578C2214yes—
126#2576C2214yes—
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2570C2212yes—
130#2568C2211yescharacteristic
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2566C2212yes—
134#2565C2212yes—
135#2563C2211yescharacteristic
136#2562C2212yes—
137#2559C2214yes—
138#2557C2214yes—
139#2553C2212yes—
140#2553C2212yes—
141#2552C2211yescharacteristic
142#2548C2211yescharacteristic
143#2547C2211yescharacteristic
144#2547C2211yescharacteristic
145#2544C2212yes—
146#2544C2212yes—
147#2542C2211yescharacteristic
148#2542C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2212yes—
151#2541C2212yes—
152#2540C2212yes—
153#2537C2211yescharacteristic
154#2537C2211yescharacteristic
155#2537C2212yes—
156#2536C2212yes—
157#2535C2212yes—
158#2535C2212yes—
159#2533C2214yes—
160#2531C2212yes—
161#2529C2212yes—
162#2526C2214yes—
163#2526C2214yes—
164#2526C2214yes—
165#2526C2214yes—
166#2518C2214yes—
167#2518C2214yes—
168#2518C2212yes—
169#2516C2214yes—
170#2514C2212yes—
171#2514C2212yes—
172#2514C2212yes—
173#2513C2212yes—
174#2512C2211yescharacteristic
175#2512C2212yes—
176#2511C2212yes—
177#2510C2214yes—
178#2510C2214yes—
179#2507C2211yescharacteristic
180#2506C2212yes—
181#2506C2212yes—
182#2501C2212yes—
183#2500C2212yes—
184#2500C2212yes—
185#2500C2211yescharacteristic
186#2499C2212yes—
187#2497C2212yes—
188#2496C2212yes—
189#2495C2212yes—
190#2495C2211yescharacteristic
191#2494C2212yes—
192#2493C2214yes—
193#2490C2212yes—
194#2490C2212yes—
195#2490C2212yes—
196#2490C2211yescharacteristic
197#2489C2211yescharacteristic
198#2489C2212yes—
199#2489C2211yescharacteristic
200#2489C2212yes—
201#2485C2211yescharacteristic
202#2467C2214yes—
203#2467C2212yes—
204#2459C2214yes—
205#2457C2214yes—
206#2454C2212yes—
207#2454C2212yes—
208#2454C2212yes—
209#2453C2212yes—
210#2448C2212yes—
211#2447C2212yes—
212#2446C2212yes—
213#2445C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2444C2214yes—
217#2442C2212yes—
218#2442C2212yes—
219#2441C2211yescharacteristic
220#2432C2212yes—
221#2431C2212yes—
222#2431C2212yes—
223#2427C2212yes—
224#2427C2211yescharacteristic
225#2427C2211yescharacteristic
226#2427C2212yes—
227#2426C2212yes—
228#2426C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2422C2212yes—
233#2421C2214yes—
234#2421C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2416C2212yes—
240#2415C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2414C2212yes—
244#2414C2211yescharacteristic
245#2407C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2395C2212yes—
251#2395C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2376C2214yes—
255#2369C2211yescharacteristic
256#2367C2212yes—
257#2367C2212yes—
258#2366C2212yes—
259#2366C2211yescharacteristic
260#2363C2212yes—
261#2363C2212yes—
262#2357C2212yes—
263#2357C2212yes—
264#2356C2212yes—
265#2356C2212yes—
266#2355C2211yescharacteristic
267#2352C2212yes—
268Q8×C4⋊C4C2211yescharacteristic
269#2341C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2324C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277#2318C2214yes—
278#2314C2212yes—
279#2314C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#126C2212yes—
285C4×#124C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2212yes—
294#2285C2212yes—
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301#554—44no—
302#550—44no—
303#533—44no—
304#532—44no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2312yes—
310C2×#127C2312yes—
311C2×#127C2314yes—
312#529—44no—
313#529—44no—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C22×C4⋊C4C2312yes—
396C22×C42C2311yescharacteristic
397C22×C42C2311yescharacteristic
398C22×C42C2312yes—
399#401C2314yes—
400#401C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#399C2312yes—
418#399C2312yes—
419#399C2312yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#395C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2312yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#393C2314yes—
513#392C2312yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2311yescharacteristic
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2314yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2311yescharacteristic
587#389C2314yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
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#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
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#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#384C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#383C2312yes—
721#383C2314yes—
722#383C2314yes—
723#383C2314yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—44no—
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—42no—
860#127—24no—
861#127—44no—
862#127—44no—
863#127—84no—
864#126—44no—
865#126—44no—
866#126—44no—
867#126—84no—
868#125—42no—
869#125—42no—
870#125—42no—
871#125—44no—
872#125—44no—
873#125—84no—
874#124—44no—
875#124—44no—
876#124—44no—
877#124—42no—
878#124—42no—
879#124—44no—
880#124—82no—
881#123—48no—
882#123—44no—
883#123—44no—
884#123—84no—
885#123—84no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892C22⋊Q8—42no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—44no—
896C22⋊Q8—82no—
897#121—48no—
898#121—42no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—44no—
904#121—42no—
905#121—44no—
906#121—44no—
907#121—42no—
908#121—42no—
909#121—44no—
910#121—44no—
911#121—44no—
912#121—84no—
913#121—82no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—42no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—48no—
938#117—44no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—42no—
943#117—42no—
944#117—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C42—24no—
1079C2×C42—24no—
1080C2×C42—44no—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2514yes—
1181C24C2511yescharacteristic
1182#41—816no—
1183#41—816no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—42no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2514yes—
1297C22×C4C2514yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—41no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—41no—
1402C22⋊C4—44no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—42no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—41no—
1477C42—44no—
1478C42—42no—
1479C42—42no—
1480C42H(5,𝔽2)14yes—
1481C23—22no—
1482C23—22no—
1483C23—21no—
1484C23—24no—
1485C23—21no—
1486C23—22no—
1487C23—24no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—24no—
1512C23—21no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23C2611yescharacteristic
1517Q8—44no—
1518Q8—44no—
1519Q8—48no—
1520Q8—84no—
1521D4—44no—
1522D4—44no—
1523D4—48no—
1524D4—44no—
1525D4—48no—
1526D4—84no—
1527D4—88no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—88no—
1533D4—88no—
1534D4—164no—
1535D4—164no—
1536D4—164no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—84no—
1627C2×C4—82no—
1628C2×C4—82no—
1629C2×C4—84no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—164no—
1633C2×C4—164no—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4#58512yes—
1638C2×C4#58512yes—
1639C2×C4#58512yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—44no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—44no—
1651C22—42no—
1652C22—42no—
1653C22—44no—
1654C22—42no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—44no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—42no—
1665C22—44no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—42no—
1670C22—42no—
1671C22—44no—
1672C22—41no—
1673C22—42no—
1674C22—41no—
1675C22—42no—
1676C22—44no—
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22C2×#58511yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22H(7,𝔽2)11yescharacteristic
1684C4—22no—
1685C4—22no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—42no—
1693C4—41no—
1694C4—44no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—44no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4#355114yes—
1713C4#356214yes—
1714C2—82no—
1715C2—81no—
1716C2—81no—
1717C2—84no—
1718C2—82no—
1719C2C2×#355111yescharacteristic
1720C2C2×#356211yescharacteristic
1721C2#6282711yescharacteristic
1722C2#6293711yescharacteristic
1723C2#6295511yescharacteristic
1724C2#6296611yescharacteristic
1725C2#6303111yescharacteristic
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. #59443C2semidirect
2. #59079C2semidirect
3. #59033C2semidirect
4. #58091C2semidirect
5. #54015C2semidirect
6. #53897C2semidirect
7. #53069C2semidirect
8. #53051C2semidirect
9. #48948C2semidirect
10. #46108C2semidirect
11. #45716C2semidirect
12. #45234C2semidirect
13. #45129C2semidirect
14. #42892C2semidirect
15. #42730C2semidirect
16. #42730C2semidirect
17. #42468C2semidirect
18. #39730C2semidirect
19. #39537C2semidirect
20. #39502C2semidirect
21. #39480C2semidirect
22. #39138C2semidirect
23. #39126C2semidirect
24. #39009C2semidirect
25. #38952C2semidirect
26. #37616C2semidirect
27. #37356C2semidirect
28. #37288C2semidirect
29. #36463C2semidirect
30. #36460C2semidirect
31. #36150C2semidirect
32. #35201C2semidirect
33. #35196C2semidirect
34. #34932C2semidirect
35. #34797C2semidirect

Maximal subgroups

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

subgroupindex
#594432
#590792
#590332
#580912
#540152
#538972
#530692
#530512
#489482
#461082
#457162
#452342
#451292
#428922
#427302
#424682
#397302
#395372
#395022
#394802
#391382
#391262
#390092
#389522
#376162
#373562
#372882
#364632
#364602
#361502
#352012
#351962
#349322
#347972