Finite Group Databasebeta

← #8429371

Subgroups — #8429371

Order 512.

5033 conjugacy classes of subgroups.

The subgroup lattice has 1803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59417C212yesmaximal, complemented
3#59401C212yesmaximal, complemented
4#59080C211yesmaximal, characteristic, complemented
5#59056C211yesmaximal, characteristic, complemented
6#56263C214yesmaximal, complemented
7#56242C214yesmaximal, complemented
8#53079C212yesmaximal, complemented
9#53063C212yesmaximal, complemented
10#53061C212yesmaximal, complemented
11#53055C212yesmaximal, complemented
12#52337C214yesmaximal, complemented
13#42890C212yesmaximal, complemented
14#42883C212yesmaximal, complemented
15#42468C212yesmaximal, complemented
16#42463C212yesmaximal, complemented
17#40549C214yesmaximal, complemented
18#39562C212yesmaximal, complemented
19#39529C212yesmaximal, complemented
20#39525C212yesmaximal, complemented
21#39515C211yesmaximal, characteristic, complemented
22#39469C211yesmaximal, characteristic, complemented
23#39071C212yesmaximal, complemented
24#38958C211yesmaximal, characteristic, complemented
25#38931C211yesmaximal, characteristic, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37618C211yesmaximal, characteristic, complemented
28#37587C212yesmaximal, complemented
29#37513C212yesmaximal, complemented
30#36449C211yesmaximal, characteristic, complemented
31#36444C211yesmaximal, characteristic, complemented
32#36149C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#555C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×#548C2212yes—
40C2×#548C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2832C2214yes—
51#2830C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2828C2214yes—
57#2826C2214yes—
58#2825C2214yes—
59#2824C2214yes—
60#2819C2214yes—
61#2818C2214yes—
62#2815C2214yes—
63#2815C2214yes—
64#2798C2214yes—
65#2798C2214yes—
66#2797C2214yes—
67#2786C2214yes—
68#2778C2214yes—
69#2759C2214yes—
70#2759C2214yes—
71#2758C2214yes—
72#2757C2214yes—
73#2754C2214yes—
74#2752C2214yes—
75#2751C2214yes—
76#2751C2214yes—
77#2740C2214yes—
78#2739C2214yes—
79#2737C2214yes—
80#2733C2214yes—
81#2733C2214yes—
82#2730C2214yes—
83#2730C2214yes—
84#2728C2214yes—
85#2714C2214yes—
86#2712C2214yes—
87#2710C2214yes—
88#2709C2214yes—
89#2705C2214yes—
90#2703C2214yes—
91#2700C2214yes—
92#2700C2214yes—
93#2700C2214yes—
94#2698C2214yes—
95#2696C2214yes—
96#2696C2214yes—
97#2676C2214yes—
98#2676C2214yes—
99#2673C2214yes—
100#2673C2214yes—
101#2661C2214yes—
102#2657C2212yes—
103#2648C2214yes—
104#2647C2212yes—
105#2640C2212yes—
106#2635C2214yes—
107#2635C2214yes—
108#2635C2214yes—
109#2635C2214yes—
110#2631C2214yes—
111#2631C2214yes—
112#2631C2214yes—
113#2631C2214yes—
114#2630C2214yes—
115#2628C2212yes—
116#2624C2212yes—
117#2624C2212yes—
118#2620C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2615C2212yes—
122#2615C2212yes—
123#2615C2212yes—
124#2610C2214yes—
125#2607C2214yes—
126#2600C2214yes—
127#2592C2212yes—
128#2581C2212yes—
129#2580C2212yes—
130#2578C2214yes—
131#2576C2214yes—
132#2572C2214yes—
133#2571C2211yescharacteristic
134#2570C2212yes—
135#2567C2211yescharacteristic
136#2563C2211yescharacteristic
137#2557C2214yes—
138#2555C2214yes—
139#2548C2211yescharacteristic
140#2547C2211yescharacteristic
141#2547C2212yes—
142#2547C2211yescharacteristic
143#2541C2212yes—
144#2541C2212yes—
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2541C2211yescharacteristic
148#2537C2211yescharacteristic
149#2537C2212yes—
150#2535C2212yes—
151#2535C2214yes—
152#2535C2212yes—
153#2535C2212yes—
154#2535C2212yes—
155#2532C2212yes—
156#2530C2214yes—
157#2526C2212yes—
158#2523C2214yes—
159#2518C2212yes—
160#2514C2212yes—
161#2513C2211yescharacteristic
162#2508C2212yes—
163#2508C2211yescharacteristic
164#2501C2212yes—
165#2500C2212yes—
166#2500C2211yescharacteristic
167#2499C2212yes—
168#2497C2211yescharacteristic
169#2496C2212yes—
170#2496C2212yes—
171#2495C2212yes—
172#2495C2212yes—
173#2495C2212yes—
174#2494C2212yes—
175#2491C2212yes—
176#2491C2211yescharacteristic
177#2491C2212yes—
178#2488C2214yes—
179#2485C2212yes—
180#2485C2212yes—
181#2485C2211yescharacteristic
182#2476C2212yes—
183#2474C2212yes—
184#2467C2214yes—
185#2464C2214yes—
186#2463C2214yes—
187#2459C2214yes—
188#2459C2212yes—
189#2459C2212yes—
190#2457C2214yes—
191#2457C2214yes—
192#2456C2212yes—
193#2455C2214yes—
194#2452C2212yes—
195#2451C2211yescharacteristic
196#2448C2212yes—
197#2448C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2445C2212yes—
201#2445C2211yescharacteristic
202#2444C2214yes—
203#2439C2212yes—
204#2439C2212yes—
205#2439C2212yes—
206#2439C2211yescharacteristic
207#2439C2211yescharacteristic
208#2436C2212yes—
209#2436C2212yes—
210#2431C2212yes—
211#2431C2212yes—
212#2431C2214yes—
213#2431C2212yes—
214#2431C2211yescharacteristic
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2427C2214yes—
226#2426C2211yescharacteristic
227#2426C2212yes—
228#2422C2212yes—
229#2421C2212yes—
230#2421C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2420C2211yescharacteristic
237#2420C2212yes—
238#2416C2212yes—
239#2415C2212yes—
240#2415C2214yes—
241#2414C2212yes—
242#2414C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2414C2211yescharacteristic
246#2414C2212yes—
247#2414C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2211yescharacteristic
252#2398C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2388C2214yes—
257#2369C2211yescharacteristic
258#2366C2212yes—
259#2365C2211yescharacteristic
260#2364C2214yes—
261#2363C2212yes—
262#2363C2212yes—
263#2361C2212yes—
264#2352C2212yes—
265Q8×C4⋊C4C2211yescharacteristic
266#2349C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268#2345C2212yes—
269Q8×C22⋊C4C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2320C2212yes—
273#2318C2214yes—
274#2314C2212yes—
275#2311C2212yes—
276#2310C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2212yes—
280C4×#124C2212yes—
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#123C2212yes—
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2298C2212yes—
293#2297C2212yes—
294#2293C2211yescharacteristic
295#2293C2211yescharacteristic
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#559—48no—
305#555—44no—
306D4×Q8—44no—
307#548—48no—
308#548—48no—
309#532—44no—
310#532—44no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2314yes—
323C2×#126C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×#121C2311yescharacteristic
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C4×#41—44no—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
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#397C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2312yes—
469#395C2314yes—
470#395C2314yes—
471#395C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2312yes—
519#393C2314yes—
520#393C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
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#392C2314yes—
547#392C2312yes—
548#392C2314yes—
549#392C2314yes—
550#392C2312yes—
551#391C2312yes—
552#391C2311yescharacteristic
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2312yes—
557#391C2314yes—
558#391C2314yes—
559#391C2312yes—
560#391C2311yescharacteristic
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2312yes—
571#391C2314yes—
572#391C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2312yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2314yes—
583#390C2314yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2311yescharacteristic
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2314yes—
618#389C2314yes—
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2311yescharacteristic
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
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#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
726#385C2314yes—
727#385C2312yes—
728#384C2312yes—
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#383C2314yes—
733#383C2314yes—
734#383C2314yes—
735#383C2312yes—
736#382C2312yes—
737#382C2314yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2312yes—
745#382C2311yescharacteristic
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2312yes—
750#381C2314yes—
751#381C2314yes—
752#381C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2312yes—
816C2×#95C2314yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—24no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—82no—
831C22×Q8—28no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8C2412yes—
835C22×Q8C2411yescharacteristic
836C22×Q8C2414yes—
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2412yes—
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2411yescharacteristic
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C4⋊Q8—24no—
882C4⋊Q8—24no—
883C4⋊Q8—42no—
884C4⋊Q8—42no—
885C4⋊Q8—44no—
886#127—24no—
887#127—44no—
888#127—44no—
889#127—42no—
890#127—44no—
891#127—84no—
892#126—84no—
893#124—28no—
894#124—24no—
895#124—44no—
896#124—44no—
897#124—48no—
898#124—44no—
899#124—44no—
900#124—44no—
901#124—48no—
902#124—44no—
903#124—48no—
904#124—48no—
905#123—48no—
906#123—48no—
907#123—44no—
908#123—84no—
909C22⋊Q8—24no—
910C22⋊Q8—48no—
911C22⋊Q8—48no—
912C22⋊Q8—44no—
913C22⋊Q8—48no—
914C22⋊Q8—44no—
915C22⋊Q8—82no—
916#121—48no—
917#121—44no—
918#121—48no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—42no—
923#121—44no—
924#121—42no—
925#121—44no—
926#121—42no—
927#121—44no—
928#121—42no—
929#121—42no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—44no—
934#121—44no—
935#121—48no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—84no—
940#121—84no—
941C4×Q8—28no—
942C4×Q8—24no—
943C4×Q8—44no—
944C4×Q8—42no—
945C4×Q8—44no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—48no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—42no—
960C4×D4—44no—
961C4×D4—42no—
962C4×D4—48no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—48no—
971C4×D4—84no—
972C4×D4—82no—
973#117—44no—
974#117—44no—
975#117—44no—
976#117—42no—
977#117—42no—
978#117—42no—
979#117—44no—
980#117—44no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—44no—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2414yes—
1136C2×C42C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2511yescharacteristic
1202C24C2512yes—
1203C24C2514yes—
1204C24C2512yes—
1205C24C2512yes—
1206C24C2511yescharacteristic
1207#41—416no—
1208#41—816no—
1209#41—816no—
1210#41—816no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—28no—
1215C2×Q8—24no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—44no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—816no—
1229C2×Q8H(5,𝔽2)14yes—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—42no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—28no—
1331C22×C4—24no—
1332C22×C4—28no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—41no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—41no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2514yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2514yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2514yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—24no—
1386C4⋊C4—22no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—28no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—22no—
1512C42—24no—
1513C42—28no—
1514C42—24no—
1515C42—22no—
1516C42—24no—
1517C42—22no—
1518C42—22no—
1519C42—24no—
1520C42—24no—
1521C42—22no—
1522C42—24no—
1523C42—42no—
1524C42—42no—
1525C42—42no—
1526C42—42no—
1527C42—44no—
1528C42—41no—
1529C42—44no—
1530C42—42no—
1531C42—41no—
1532C42—44no—
1533C42H(5,𝔽2)14yes—
1534C23—21no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—21no—
1541C23—22no—
1542C23—24no—
1543C23—21no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—22no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—24no—
1558C23—21no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—24no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—21no—
1576C23C2611yescharacteristic
1577Q8—28no—
1578Q8—48no—
1579Q8—88no—
1580Q8—84no—
1581Q8—84no—
1582Q8—84no—
1583D4—48no—
1584D4—48no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—48no—
1589D4—44no—
1590D4—48no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—84no—
1595D4—88no—
1596D4—84no—
1597D4—84no—
1598D4—88no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—88no—
1604D4—88no—
1605D4—164no—
1606D4—164no—
1607D4—164no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—24no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—24no—
1685C2×C4—21no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—48no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—48no—
1693C2×C4—48no—
1694C2×C4—44no—
1695C2×C4—84no—
1696C2×C4—82no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4—164no—
1701C2×C4—164no—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)14yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×H(5,𝔽2)12yes—
1707C2×C4#58512yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C2×C4#58512yes—
1711C22—41no—
1712C22—42no—
1713C22—42no—
1714C22—41no—
1715C22—42no—
1716C22—44no—
1717C22—41no—
1718C22—41no—
1719C22—42no—
1720C22—44no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—41no—
1725C22—42no—
1726C22—44no—
1727C22—41no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—41no—
1733C22—42no—
1734C22—41no—
1735C22—41no—
1736C22—44no—
1737C22—42no—
1738C22—41no—
1739C22—42no—
1740C22—42no—
1741C22—41no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—42no—
1746C22—41no—
1747C22—42no—
1748C22—42no—
1749C22—41no—
1750C22—41no—
1751C22—44no—
1752C22—42no—
1753C22C22×H(5,𝔽2)11yescharacteristic
1754C22C22×H(5,𝔽2)11yescharacteristic
1755C22C2×#58511yescharacteristic
1756C22C2×#58511yescharacteristic
1757C22C2×#58511yescharacteristic
1758C22C2×#58511yescharacteristic
1759C22H(7,𝔽2)11yescharacteristic
1760C4—22no—
1761C4—22no—
1762C4—24no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—42no—
1767C4—41no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—41no—
1773C4—42no—
1774C4—41no—
1775C4—44no—
1776C4—42no—
1777C4—42no—
1778C4—41no—
1779C4—44no—
1780C4—41no—
1781C4—42no—
1782C4—42no—
1783C4—41no—
1784C4—41no—
1785C4—42no—
1786C4—44no—
1787C4#354214yes—
1788C4#356214yes—
1789C2—81no—
1790C2—82no—
1791C2—82no—
1792C2—81no—
1793C2—84no—
1794C2—82no—
1795C2C2×#354211yescharacteristic
1796C2C2×#356211yescharacteristic
1797C2#6276211yescharacteristic
1798C2#6292311yescharacteristic
1799C2#6292411yescharacteristic
1800C2#6293811yescharacteristic
1801C2#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. #59641C2semidirect
2. #59417C2semidirect
3. #59401C2semidirect
4. #59080C2semidirect
5. #59056C2semidirect
6. #56263C2semidirect
7. #56242C2semidirect
8. #53079C2semidirect
9. #53063C2semidirect
10. #53061C2semidirect
11. #53055C2semidirect
12. #52337C2semidirect
13. #42890C2semidirect
14. #42883C2semidirect
15. #42468C2semidirect
16. #42463C2semidirect
17. #40549C2semidirect
18. #39562C2semidirect
19. #39529C2semidirect
20. #39525C2semidirect
21. #39515C2semidirect
22. #39469C2semidirect
23. #39071C2semidirect
24. #38958C2semidirect
25. #38931C2semidirect
26. #37626C2semidirect
27. #37618C2semidirect
28. #37587C2semidirect
29. #37513C2semidirect
30. #36449C2semidirect
31. #36444C2semidirect
32. #36149C2semidirect
33. #34977C2semidirect
34. #34800C2semidirect
35. #34715C2semidirect

Maximal subgroups

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

subgroupindex
#596412
#594172
#594012
#590802
#590562
#562632
#562422
#530792
#530632
#530612
#530552
#523372
#428902
#428832
#424682
#424632
#405492
#395622
#395292
#395252
#395152
#394692
#390712
#389582
#389312
#376262
#376182
#375872
#375132
#364492
#364442
#361492
#349772
#348002
#347152