Finite Group Databasebeta

← #8429540

Subgroups — #8429540

Order 512.

4467 conjugacy classes of subgroups.

The subgroup lattice has 1681 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59567C212yesmaximal, complemented
2#59475C212yesmaximal, complemented
3#59427C211yesmaximal, characteristic, complemented
4#59071C211yesmaximal, characteristic, complemented
5#59033C211yesmaximal, characteristic, complemented
6#57420C214yesmaximal, complemented
7#54434C214yesmaximal, complemented
8#53087C212yesmaximal, complemented
9#53079C212yesmaximal, complemented
10#53074C212yesmaximal, complemented
11#53053C212yesmaximal, complemented
12#52531C214yesmaximal, complemented
13#42781C212yesmaximal, complemented
14#42778C212yesmaximal, complemented
15#42709C212yesmaximal, complemented
16#42709C212yesmaximal, complemented
17#40709C214yesmaximal, complemented
18#39809C212yesmaximal, complemented
19#39794C212yesmaximal, complemented
20#39771C211yesmaximal, characteristic, complemented
21#39724C211yesmaximal, characteristic, complemented
22#39259C212yesmaximal, complemented
23#39227C212yesmaximal, complemented
24#39174C211yesmaximal, characteristic, complemented
25#39156C211yesmaximal, characteristic, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37619C211yesmaximal, characteristic, complemented
28#37572C212yesmaximal, complemented
29#37499C212yesmaximal, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36302C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34979C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2861C2212yes—
43#2858C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2854C2212yes—
47#2839C2214yes—
48#2837C2214yes—
49#2832C2214yes—
50#2830C2214yes—
51#2829C2214yes—
52#2829C2214yes—
53#2828C2214yes—
54#2828C2214yes—
55#2827C2214yes—
56#2826C2214yes—
57#2826C2214yes—
58#2824C2214yes—
59#2824C2214yes—
60#2816C2214yes—
61#2807C2214yes—
62#2803C2214yes—
63#2803C2214yes—
64#2798C2214yes—
65#2796C2214yes—
66#2796C2214yes—
67#2786C2214yes—
68#2783C2214yes—
69#2782C2214yes—
70#2782C2214yes—
71#2780C2214yes—
72#2779C2214yes—
73#2779C2214yes—
74#2777C2214yes—
75#2775C2214yes—
76#2773C2214yes—
77#2772C2214yes—
78#2771C2214yes—
79#2771C2214yes—
80#2757C2214yes—
81#2757C2214yes—
82#2753C2214yes—
83#2753C2214yes—
84#2753C2214yes—
85#2752C2214yes—
86#2751C2214yes—
87#2751C2214yes—
88#2751C2214yes—
89#2746C2214yes—
90#2740C2214yes—
91#2739C2214yes—
92#2719C2214yes—
93#2719C2214yes—
94#2711C2214yes—
95#2711C2214yes—
96#2690C2214yes—
97#2688C2214yes—
98#2663C2214yes—
99#2658C2212yes—
100#2655C2214yes—
101#2653C2214yes—
102#2653C2214yes—
103#2653C2214yes—
104#2652C2214yes—
105#2649C2214yes—
106#2648C2214yes—
107#2647C2212yes—
108#2645C2212yes—
109#2645C2212yes—
110#2644C2214yes—
111#2644C2212yes—
112#2643C2214yes—
113#2642C2212yes—
114#2641C2212yes—
115#2640C2212yes—
116#2640C2212yes—
117#2633C2214yes—
118#2624C2212yes—
119#2624C2212yes—
120#2621C2212yes—
121#2611C2214yes—
122#2601C2214yes—
123#2596C2214yes—
124#2596C2214yes—
125#2595C2214yes—
126#2592C2212yes—
127#2592C2212yes—
128#2589C2214yes—
129#2582C2211yescharacteristic
130#2581C2212yes—
131#2580C2212yes—
132#2580C2212yes—
133#2580C2212yes—
134#2578C2214yes—
135#2575C2214yes—
136#2573C2214yes—
137#2568C2212yes—
138#2568C2211yescharacteristic
139#2568C2212yes—
140#2568C2211yescharacteristic
141#2566C2212yes—
142#2554C2214yes—
143#2552C2211yescharacteristic
144#2550C2212yes—
145#2548C2212yes—
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2547C2211yescharacteristic
149#2546C2211yescharacteristic
150#2546C2211yescharacteristic
151#2545C2212yes—
152#2544C2212yes—
153#2542C2211yescharacteristic
154#2540C2212yes—
155#2538C2212yes—
156#2535C2212yes—
157#2533C2212yes—
158#2532C2214yes—
159#2531C2214yes—
160#2527C2214yes—
161#2527C2212yes—
162#2526C2214yes—
163#2523C2212yes—
164#2514C2211yescharacteristic
165#2513C2212yes—
166#2513C2212yes—
167#2511C2212yes—
168#2509C2212yes—
169#2509C2211yescharacteristic
170#2505C2214yes—
171#2505C2214yes—
172#2500C2212yes—
173#2499C2212yes—
174#2499C2212yes—
175#2499C2211yescharacteristic
176#2497C2212yes—
177#2497C2212yes—
178#2496C2211yescharacteristic
179#2495C2212yes—
180#2492C2211yescharacteristic
181#2490C2212yes—
182#2490C2212yes—
183#2490C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2485C2211yescharacteristic
187#2477C2214yes—
188#2477C2212yes—
189#2476C2214yes—
190#2476C2214yes—
191#2475C2214yes—
192#2475C2212yes—
193#2470C2214yes—
194#2466C2212yes—
195#2464C2214yes—
196#2463C2212yes—
197#2460C2212yes—
198#2454C2212yes—
199#2453C2212yes—
200#2453C2212yes—
201#2452C2211yescharacteristic
202#2448C2212yes—
203#2448C2212yes—
204#2447C2212yes—
205#2447C2212yes—
206#2447C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2446C2211yescharacteristic
211#2445C2212yes—
212#2444C2214yes—
213#2439C2211yescharacteristic
214#2439C2212yes—
215#2439C2211yescharacteristic
216#2432C2212yes—
217#2432C2212yes—
218#2432C2212yes—
219#2432C2212yes—
220#2432C2212yes—
221#2432C2211yescharacteristic
222#2431C2212yes—
223#2431C2212yes—
224#2429C2212yes—
225#2429C2212yes—
226#2427C2212yes—
227#2427C2211yescharacteristic
228#2427C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2426C2212yes—
232#2426C2212yes—
233#2421C2212yes—
234#2421C2212yes—
235#2421C2211yescharacteristic
236#2421C2212yes—
237#2420C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2211yescharacteristic
241#2415C2212yes—
242#2415C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2401C2212yes—
250#2398C2212yes—
251#2398C2212yes—
252#2395C2214yes—
253#2392C2212yes—
254#2367C2212yes—
255#2367C2212yes—
256#2366C2211yescharacteristic
257#2365C2212yes—
258#2365C2211yescharacteristic
259#2363C2212yes—
260#2363C2212yes—
261#2363C2212yes—
262#2356C2212yes—
263#2355C2211yescharacteristic
264#2354C2211yescharacteristic
265#2354C2212yes—
266#2351C2212yes—
267#2346C2212yes—
268#2343C2214yes—
269#2341C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2335C2214yes—
273#2330C2212yes—
274#2326C2212yes—
275#2326C2212yes—
276#2323C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×#126C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2293C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#557—44no—
303#550—44no—
304#533—44no—
305#533—44no—
306#532—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#126C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#123C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2311yescharacteristic
350C2×#121C2314yes—
351C4×#41—44no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2312yes—
388#401C2314yes—
389#401C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#395C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2312yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2312yes—
512#393C2312yes—
513#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2312yes—
550#391C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2314yes—
600#389C2312yes—
601#389C2314yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
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#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2312yes—
733#383C2312yes—
734#383C2314yes—
735#383C2312yes—
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2312yes—
739#382C2314yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2314yes—
745#381C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—42no—
858C4⋊Q8—42no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—42no—
862C4⋊Q8—44no—
863#127—24no—
864#127—44no—
865#126—44no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—48no—
871#124—44no—
872#124—44no—
873#124—42no—
874#124—44no—
875#124—44no—
876#124—44no—
877#124—44no—
878#123—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—42no—
888C22⋊Q8—44no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891#121—44no—
892#121—48no—
893#121—44no—
894#121—44no—
895#121—42no—
896#121—44no—
897#121—44no—
898#121—44no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—24no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—44no—
924#117—44no—
925#117—48no—
926#117—44no—
927#117—44no—
928#117—42no—
929#117—42no—
930#117—42no—
931#117—44no—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C42—24no—
1056C2×C42—24no—
1057C2×C42—44no—
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2411yescharacteristic
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168C24C2512yes—
1169C24C2511yescharacteristic
1170C24C2511yescharacteristic
1171C24C2514yes—
1172#41—416no—
1173#41—816no—
1174#41—816no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—42no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—42no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—41no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—42no—
1260C22×C4—41no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—22no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—22no—
1436C42—24no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—41no—
1441C42—44no—
1442C42—42no—
1443C42—44no—
1444C42—42no—
1445C42—44no—
1446C42—41no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42H(5,𝔽2)14yes—
1451C23—22no—
1452C23—21no—
1453C23—21no—
1454C23—24no—
1455C23—21no—
1456C23—24no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—22no—
1464C23—21no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—24no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—24no—
1477C23—21no—
1478C23—22no—
1479C23C2611yescharacteristic
1480Q8—44no—
1481Q8—44no—
1482Q8—48no—
1483Q8—48no—
1484Q8—44no—
1485Q8—84no—
1486Q8—84no—
1487D4—44no—
1488D4—48no—
1489D4—44no—
1490D4—48no—
1491D4—48no—
1492D4—84no—
1493D4—84no—
1494D4—88no—
1495D4—88no—
1496D4—164no—
1497D4—164no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—44no—
1584C2×C4—48no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—84no—
1591C2×C4—82no—
1592C2×C4—88no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×H(5,𝔽2)12yes—
1597C2×C4C2×H(5,𝔽2)12yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C2×C4#58512yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C22—42no—
1604C22—41no—
1605C22—41no—
1606C22—44no—
1607C22—42no—
1608C22—41no—
1609C22—41no—
1610C22—44no—
1611C22—44no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—44no—
1617C22—41no—
1618C22—42no—
1619C22—41no—
1620C22—42no—
1621C22—41no—
1622C22—44no—
1623C22—41no—
1624C22—42no—
1625C22—41no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—44no—
1630C22—44no—
1631C22C22×H(5,𝔽2)11yescharacteristic
1632C22C2×#58511yescharacteristic
1633C22C2×#58511yescharacteristic
1634C22C2×#58511yescharacteristic
1635C22C2×#58511yescharacteristic
1636C22C2×#58511yescharacteristic
1637C222−1+611yescharacteristic
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—41no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—44no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—41no—
1655C4—42no—
1656C4—44no—
1657C4—42no—
1658C4—41no—
1659C4—42no—
1660C4—42no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—41no—
1667C4#354014yes—
1668C4#356214yes—
1669C2—82no—
1670C2—81no—
1671C2—81no—
1672C2—84no—
1673C2C2×#354011yescharacteristic
1674C2C2×#356211yescharacteristic
1675C2#6276211yescharacteristic
1676C2#6295411yescharacteristic
1677C2#6296711yescharacteristic
1678C2#6296711yescharacteristic
1679C2#6303611yescharacteristic
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. #59567C2semidirect
2. #59475C2semidirect
3. #59427C2semidirect
4. #59071C2semidirect
5. #59033C2semidirect
6. #57420C2semidirect
7. #54434C2semidirect
8. #53087C2semidirect
9. #53079C2semidirect
10. #53074C2semidirect
11. #53053C2semidirect
12. #52531C2semidirect
13. #42781C2semidirect
14. #42778C2semidirect
15. #42709C2semidirect
16. #42709C2semidirect
17. #40709C2semidirect
18. #39809C2semidirect
19. #39794C2semidirect
20. #39771C2semidirect
21. #39724C2semidirect
22. #39259C2semidirect
23. #39227C2semidirect
24. #39174C2semidirect
25. #39156C2semidirect
26. #37630C2semidirect
27. #37619C2semidirect
28. #37572C2semidirect
29. #37499C2semidirect
30. #36410C2semidirect
31. #36302C2semidirect
32. #36150C2semidirect
33. #34979C2semidirect
34. #34803C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#595672
#594752
#594272
#590712
#590332
#574202
#544342
#530872
#530792
#530742
#530532
#525312
#427812
#427782
#427092
#407092
#398092
#397942
#397712
#397242
#392592
#392272
#391742
#391562
#376302
#376192
#375722
#374992
#364102
#363022
#361502
#349792
#348032
#347202