Finite Group Databasebeta

← #8429398

Subgroups — #8429398

Order 512.

5003 conjugacy classes of subgroups.

The subgroup lattice has 1797 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59693C212yesmaximal, complemented
2#59647C211yesmaximal, characteristic, complemented
3#59392C212yesmaximal, complemented
4#59057C211yesmaximal, characteristic, complemented
5#59056C211yesmaximal, characteristic, complemented
6#57019C214yesmaximal, complemented
7#53934C214yesmaximal, complemented
8#53062C212yesmaximal, complemented
9#53060C212yesmaximal, complemented
10#53059C212yesmaximal, complemented
11#53055C212yesmaximal, complemented
12#52409C214yesmaximal, complemented
13#42471C212yesmaximal, complemented
14#42468C212yesmaximal, complemented
15#42465C212yesmaximal, complemented
16#42462C212yesmaximal, complemented
17#40598C214yesmaximal, complemented
18#39567C212yesmaximal, complemented
19#39552C212yesmaximal, complemented
20#39514C211yesmaximal, characteristic, complemented
21#39489C211yesmaximal, characteristic, complemented
22#39480C211yesmaximal, characteristic, complemented
23#39469C211yesmaximal, characteristic, complemented
24#39035C212yesmaximal, complemented
25#39021C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37626C211yesmaximal, characteristic, complemented
28#37570C212yesmaximal, complemented
29#37515C212yesmaximal, complemented
30#36492C211yesmaximal, characteristic, complemented
31#36301C211yesmaximal, characteristic, complemented
32#36127C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#553C2214yes—
39C2×#547C2212yes—
40C2×#532C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44#2868C2211yescharacteristic
45#2864C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2851C2212yes—
49#2837C2214yes—
50#2829C2214yes—
51#2829C2214yes—
52#2828C2214yes—
53#2828C2214yes—
54#2828C2214yes—
55#2825C2214yes—
56#2825C2214yes—
57#2825C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2818C2214yes—
61#2815C2214yes—
62#2813C2214yes—
63#2808C2214yes—
64#2803C2214yes—
65#2800C2214yes—
66#2798C2214yes—
67#2797C2214yes—
68#2797C2214yes—
69#2797C2214yes—
70#2787C2214yes—
71#2786C2214yes—
72#2762C2214yes—
73#2752C2214yes—
74#2749C2214yes—
75#2747C2214yes—
76#2746C2214yes—
77#2745C2214yes—
78#2740C2214yes—
79#2737C2214yes—
80#2733C2214yes—
81#2730C2214yes—
82#2716C2214yes—
83#2716C2214yes—
84#2714C2214yes—
85#2714C2214yes—
86#2712C2214yes—
87#2711C2214yes—
88#2709C2214yes—
89#2703C2214yes—
90#2694C2214yes—
91#2691C2214yes—
92#2691C2214yes—
93#2690C2214yes—
94#2688C2214yes—
95#2676C2214yes—
96#2674C2214yes—
97#2674C2214yes—
98#2673C2214yes—
99#2673C2214yes—
100#2661C2214yes—
101#2661C2214yes—
102#2653C2214yes—
103#2653C2214yes—
104#2649C2214yes—
105#2648C2214yes—
106#2648C2214yes—
107#2635C2214yes—
108#2635C2214yes—
109#2630C2214yes—
110#2629C2212yes—
111#2625C2212yes—
112#2624C2212yes—
113#2624C2212yes—
114#2620C2212yes—
115#2619C2212yes—
116#2619C2212yes—
117#2619C2212yes—
118#2619C2212yes—
119#2615C2212yes—
120#2615C2212yes—
121#2615C2214yes—
122#2615C2212yes—
123#2610C2214yes—
124#2602C2214yes—
125#2600C2214yes—
126#2600C2214yes—
127#2598C2214yes—
128#2571C2211yescharacteristic
129#2570C2212yes—
130#2570C2212yes—
131#2570C2212yes—
132#2567C2211yescharacteristic
133#2563C2211yescharacteristic
134#2563C2211yescharacteristic
135#2563C2212yes—
136#2563C2211yescharacteristic
137#2562C2212yes—
138#2548C2211yescharacteristic
139#2547C2212yes—
140#2544C2212yes—
141#2541C2212yes—
142#2541C2211yescharacteristic
143#2541C2211yescharacteristic
144#2541C2212yes—
145#2541C2212yes—
146#2541C2211yescharacteristic
147#2540C2212yes—
148#2537C2212yes—
149#2537C2212yes—
150#2537C2212yes—
151#2537C2212yes—
152#2537C2211yescharacteristic
153#2535C2212yes—
154#2535C2212yes—
155#2531C2212yes—
156#2529C2212yes—
157#2527C2214yes—
158#2523C2214yes—
159#2518C2212yes—
160#2514C2212yes—
161#2513C2212yes—
162#2512C2211yescharacteristic
163#2512C2212yes—
164#2512C2212yes—
165#2507C2211yescharacteristic
166#2506C2212yes—
167#2506C2212yes—
168#2504C2212yes—
169#2501C2212yes—
170#2500C2212yes—
171#2500C2211yescharacteristic
172#2499C2212yes—
173#2496C2212yes—
174#2496C2212yes—
175#2495C2212yes—
176#2495C2211yescharacteristic
177#2494C2212yes—
178#2494C2212yes—
179#2494C2212yes—
180#2490C2212yes—
181#2490C2211yescharacteristic
182#2490C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2211yescharacteristic
186#2481C2214yes—
187#2477C2214yes—
188#2477C2214yes—
189#2476C2214yes—
190#2476C2212yes—
191#2474C2212yes—
192#2471C2214yes—
193#2467C2214yes—
194#2467C2212yes—
195#2466C2214yes—
196#2464C2214yes—
197#2463C2214yes—
198#2460C2214yes—
199#2459C2212yes—
200#2457C2214yes—
201#2456C2214yes—
202#2456C2214yes—
203#2456C2212yes—
204#2454C2212yes—
205#2451C2211yescharacteristic
206#2447C2212yes—
207#2445C2211yescharacteristic
208#2443C2214yes—
209#2441C2212yes—
210#2441C2212yes—
211#2441C2211yescharacteristic
212#2439C2212yes—
213#2439C2211yescharacteristic
214#2432C2212yes—
215#2432C2212yes—
216#2431C2211yescharacteristic
217#2431C2212yes—
218#2431C2214yes—
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2427C2212yes—
226#2426C2211yescharacteristic
227#2422C2212yes—
228#2422C2212yes—
229#2422C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2421C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2211yescharacteristic
239#2416C2212yes—
240#2416C2212yes—
241#2414C2212yes—
242#2414C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2414C2212yes—
246#2414C2211yescharacteristic
247#2414C2212yes—
248#2407C2212yes—
249#2407C2211yescharacteristic
250#2407C2214yes—
251#2395C2212yes—
252#2392C2212yes—
253#2392C2212yes—
254#2388C2212yes—
255#2388C2214yes—
256#2369C2211yescharacteristic
257#2369C2211yescharacteristic
258#2366C2212yes—
259#2366C2212yes—
260#2363C2212yes—
261#2363C2212yes—
262#2361C2212yes—
263#2361C2212yes—
264#2361C2212yes—
265#2355C2211yescharacteristic
266#2352C2212yes—
267#2352C2212yes—
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271#2344C2212yes—
272#2317C2212yes—
273#2314C2212yes—
274#2314C2212yes—
275#2313C2214yes—
276#2311C2212yes—
277C4×#127C2211yescharacteristic
278C4×#127C2212yes—
279C4×#125C2211yescharacteristic
280C4×#126C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2293C2212yes—
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2212yes—
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303#555—44no—
304#554—44no—
305#553—416no—
306#547—48no—
307#532—44no—
308#532—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C4×#41—44no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C22×C4⋊C4C2314yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416#401C2314yes—
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2314yes—
461#397C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2312yes—
472#395C2314yes—
473#395C2312yes—
474#394C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2312yes—
521#393C2314yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2312yes—
547#392C2312yes—
548#392C2312yes—
549#392C2312yes—
550#391C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2311yescharacteristic
560#391C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2311yescharacteristic
735#383C2312yes—
736#383C2314yes—
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2311yescharacteristic
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C2×#41—44no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—82no—
829C2×#41—82no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2411yescharacteristic
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2412yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2412yes—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877C4⋊Q8—42no—
878C4⋊Q8—44no—
879C4⋊Q8—82no—
880#127—24no—
881#127—44no—
882#127—44no—
883#127—44no—
884#127—42no—
885#127—84no—
886#126—28no—
887#126—48no—
888#126—84no—
889#125—42no—
890#125—44no—
891#125—48no—
892#124—44no—
893#124—42no—
894#124—44no—
895#124—44no—
896#124—44no—
897#124—48no—
898#123—28no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—84no—
903C22⋊Q8—48no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908#121—44no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—42no—
916#121—44no—
917#121—44no—
918#121—42no—
919#121—44no—
920#121—42no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—42no—
925#121—42no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—48no—
931#121—44no—
932#121—44no—
933#121—84no—
934#121—84no—
935C4×Q8—24no—
936C4×Q8—42no—
937C4×D4—24no—
938C4×D4—24no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—44no—
960C4×D4—48no—
961C4×D4—48no—
962C4×D4—48no—
963C4×D4—84no—
964#117—44no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—48no—
969#117—42no—
970#117—42no—
971#117—42no—
972#117—44no—
973#117—44no—
974C2×C4⋊C4—216no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C42—24no—
1108C2×C42—24no—
1109C2×C42—44no—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2512yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202C24C2511yescharacteristic
1203C24C2514yes—
1204#41—416no—
1205#41—816no—
1206#41—816no—
1207#41—816no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—42no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—28no—
1323C22×C4—24no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—42no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4H(5,𝔽2)14yes—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—41no—
1453C22⋊C4—44no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—44no—
1457C22⋊C4—41no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—24no—
1509C42—24no—
1510C42—22no—
1511C42—22no—
1512C42—22no—
1513C42—24no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—24no—
1519C42—42no—
1520C42—42no—
1521C42—42no—
1522C42—42no—
1523C42—44no—
1524C42—44no—
1525C42—44no—
1526C42—42no—
1527C42—44no—
1528C42—41no—
1529C42H(5,𝔽2)14yes—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—21no—
1540C23—24no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—24no—
1545C23—21no—
1546C23—22no—
1547C23—21no—
1548C23—22no—
1549C23—24no—
1550C23—22no—
1551C23—21no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—24no—
1556C23—21no—
1557C23—22no—
1558C23—21no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—21no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—24no—
1570C23—22no—
1571C23—21no—
1572C23C2611yescharacteristic
1573Q8—44no—
1574Q8—84no—
1575Q8—84no—
1576Q8—84no—
1577D4—44no—
1578D4—48no—
1579D4—48no—
1580D4—44no—
1581D4—48no—
1582D4—44no—
1583D4—44no—
1584D4—48no—
1585D4—84no—
1586D4—88no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—84no—
1591D4—84no—
1592D4—88no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—88no—
1598D4—88no—
1599D4—164no—
1600D4—164no—
1601D4—164no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—44no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—48no—
1687C2×C4—48no—
1688C2×C4—44no—
1689C2×C4—88no—
1690C2×C4—84no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4—88no—
1694C2×C4—164no—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4#58512yes—
1702C2×C4#58512yes—
1703C2×C4#58512yes—
1704C2×C4#58512yes—
1705C22—42no—
1706C22—41no—
1707C22—42no—
1708C22—41no—
1709C22—42no—
1710C22—44no—
1711C22—41no—
1712C22—42no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—44no—
1717C22—42no—
1718C22—44no—
1719C22—41no—
1720C22—41no—
1721C22—42no—
1722C22—42no—
1723C22—44no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—41no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—41no—
1747C22C22×H(5,𝔽2)11yescharacteristic
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22C2×#58511yescharacteristic
1750C22C2×#58511yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22C2×#58511yescharacteristic
1753C22H(7,𝔽2)11yescharacteristic
1754C4—22no—
1755C4—22no—
1756C4—22no—
1757C4—22no—
1758C4—41no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—41no—
1763C4—41no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—44no—
1768C4—41no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—44no—
1775C4—41no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4#353914yes—
1782C4#356214yes—
1783C2—82no—
1784C2—81no—
1785C2—81no—
1786C2—82no—
1787C2—82no—
1788C2—84no—
1789C2C2×#353911yescharacteristic
1790C2C2×#356211yescharacteristic
1791C2#6275911yescharacteristic
1792C2#6291211yescharacteristic
1793C2#6293711yescharacteristic
1794C2#6293811yescharacteristic
1795C2#6302211yescharacteristic
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. #59693C2semidirect
2. #59647C2semidirect
3. #59392C2semidirect
4. #59057C2semidirect
5. #59056C2semidirect
6. #57019C2semidirect
7. #53934C2semidirect
8. #53062C2semidirect
9. #53060C2semidirect
10. #53059C2semidirect
11. #53055C2semidirect
12. #52409C2semidirect
13. #42471C2semidirect
14. #42468C2semidirect
15. #42465C2semidirect
16. #42462C2semidirect
17. #40598C2semidirect
18. #39567C2semidirect
19. #39552C2semidirect
20. #39514C2semidirect
21. #39489C2semidirect
22. #39480C2semidirect
23. #39469C2semidirect
24. #39035C2semidirect
25. #39021C2semidirect
26. #37639C2semidirect
27. #37626C2semidirect
28. #37570C2semidirect
29. #37515C2semidirect
30. #36492C2semidirect
31. #36301C2semidirect
32. #36127C2semidirect
33. #34977C2semidirect
34. #34797C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#596932
#596472
#593922
#590572
#590562
#570192
#539342
#530622
#530602
#530592
#530552
#524092
#424712
#424682
#424652
#424622
#405982
#395672
#395522
#395142
#394892
#394802
#394692
#390352
#390212
#376392
#376262
#375702
#375152
#364922
#363012
#361272
#349772
#347972
#347152