Finite Group Databasebeta

← #7987582

Subgroups — #7987582

Order 512.

4845 conjugacy classes of subgroups.

The subgroup lattice has 1721 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59483C212yesmaximal, complemented
2#59434C211yesmaximal, characteristic, complemented
3#59291C212yesmaximal, complemented
4#59219C211yesmaximal, characteristic, complemented
5#59217C211yesmaximal, characteristic, complemented
6#50458C214yesmaximal, complemented
7#50378C214yesmaximal, complemented
8#46197C214yesmaximal, complemented
9#45243C212yesmaximal, complemented
10#45126C212yesmaximal, complemented
11#44987C212yesmaximal, complemented
12#44974C212yesmaximal, complemented
13#42935C212yesmaximal, complemented
14#42923C212yesmaximal, complemented
15#42785C212yesmaximal, complemented
16#42746C212yesmaximal, complemented
17#39497C211yesmaximal, characteristic, complemented
18#39471C211yesmaximal, characteristic, complemented
19#39377C211yesmaximal, characteristic, complemented
20#39353C211yesmaximal, characteristic, complemented
21#38590C214yesmaximal, complemented
22#38200C212yesmaximal, complemented
23#37970C212yesmaximal, complemented
24#36554C212yesmaximal, complemented
25#36461C212yesmaximal, complemented
26#36449C211yesmaximal, characteristic, complemented
27#36259C211yesmaximal, characteristic, complemented
28#36194C211yesmaximal, characteristic, complemented
29#35267C212yesmaximal, complemented
30#35220C212yesmaximal, complemented
31#34797C211yesmaximal, characteristic, complemented
32#34715C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34368C211yesmaximal, characteristic, complemented
35#34129C211yesmaximal, characteristic, complemented
36C2×#547C2211yescharacteristic
37C2×#547C2212yes—
38C2×#542C2212yes—
39C2×#541C2212yes—
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2868C2211yescharacteristic
43#2863C2212yes—
44#2863C2214yes—
45#2861C2214yes—
46#2860C2214yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2854C2212yes—
50#2837C2214yes—
51#2832C2214yes—
52#2801C2214yes—
53#2797C2214yes—
54#2790C2214yes—
55#2781C2214yes—
56#2777C2214yes—
57#2774C2214yes—
58#2768C2214yes—
59#2765C2214yes—
60#2759C2214yes—
61#2754C2214yes—
62#2753C2214yes—
63#2746C2214yes—
64#2740C2214yes—
65#2739C2214yes—
66#2737C2214yes—
67#2729C2214yes—
68#2722C2214yes—
69#2719C2214yes—
70#2718C2214yes—
71#2714C2214yes—
72#2711C2214yes—
73#2710C2214yes—
74#2707C2214yes—
75#2706C2214yes—
76#2705C2214yes—
77#2705C2214yes—
78#2703C2214yes—
79#2701C2214yes—
80#2696C2214yes—
81#2696C2214yes—
82#2693C2214yes—
83#2676C2214yes—
84#2674C2214yes—
85#2664C2214yes—
86#2662C2214yes—
87#2661C2214yes—
88#2654C2214yes—
89#2645C2214yes—
90#2644C2214yes—
91#2629C2212yes—
92#2628C2212yes—
93#2625C2212yes—
94#2615C2212yes—
95#2602C2214yes—
96#2594C2214yes—
97#2590C2214yes—
98#2589C2214yes—
99#2585C2214yes—
100#2578C2214yes—
101#2576C2214yes—
102#2574C2214yes—
103#2572C2214yes—
104#2571C2212yes—
105#2571C2211yescharacteristic
106#2566C2212yes—
107#2563C2212yes—
108#2562C2212yes—
109#2560C2214yes—
110#2558C2214yes—
111#2558C2214yes—
112#2557C2214yes—
113#2556C2214yes—
114#2554C2214yes—
115#2554C2214yes—
116#2554C2214yes—
117#2552C2211yescharacteristic
118#2552C2212yes—
119#2550C2212yes—
120#2547C2211yescharacteristic
121#2546C2211yescharacteristic
122#2545C2212yes—
123#2540C2212yes—
124#2538C2211yescharacteristic
125#2538C2212yes—
126#2537C2211yescharacteristic
127#2537C2212yes—
128#2536C2212yes—
129#2532C2214yes—
130#2531C2212yes—
131#2530C2214yes—
132#2529C2212yes—
133#2526C2214yes—
134#2522C2214yes—
135#2520C2214yes—
136#2518C2212yes—
137#2514C2212yes—
138#2512C2211yescharacteristic
139#2510C2214yes—
140#2510C2214yes—
141#2507C2212yes—
142#2507C2212yes—
143#2507C2211yescharacteristic
144#2506C2212yes—
145#2501C2212yes—
146#2500C2211yescharacteristic
147#2497C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yes—
151#2496C2212yes—
152#2496C2212yes—
153#2496C2212yes—
154#2495C2212yes—
155#2495C2211yescharacteristic
156#2494C2212yes—
157#2494C2212yes—
158#2494C2212yes—
159#2492C2212yes—
160#2492C2212yes—
161#2492C2212yes—
162#2491C2212yes—
163#2490C2212yes—
164#2490C2211yescharacteristic
165#2487C2212yes—
166#2486C2212yes—
167#2486C2212yes—
168#2485C2211yescharacteristic
169#2485C2212yes—
170#2485C2212yes—
171#2481C2214yes—
172#2481C2214yes—
173#2476C2214yes—
174#2476C2212yes—
175#2474C2212yes—
176#2473C2214yes—
177#2471C2214yes—
178#2471C2214yes—
179#2470C2214yes—
180#2467C2212yes—
181#2464C2214yes—
182#2459C2212yes—
183#2456C2212yes—
184#2453C2212yes—
185#2452C2212yes—
186#2451C2211yescharacteristic
187#2448C2212yes—
188#2446C2212yes—
189#2445C2211yescharacteristic
190#2441C2212yes—
191#2441C2211yescharacteristic
192#2440C2212yes—
193#2440C2212yes—
194#2439C2211yescharacteristic
195#2439C2212yes—
196#2439C2212yes—
197#2439C2212yes—
198#2438C2214yes—
199#2431C2212yes—
200#2431C2211yescharacteristic
201#2429C2212yes—
202#2427C2212yes—
203#2426C2211yescharacteristic
204#2425C2214yes—
205#2423C2212yes—
206#2422C2212yes—
207#2422C2212yes—
208#2421C2212yes—
209#2420C2211yescharacteristic
210#2417C2214yes—
211#2416C2212yes—
212#2416C2212yes—
213#2415C2212yes—
214#2414C2212yes—
215#2414C2211yescharacteristic
216#2414C2211yescharacteristic
217#2413C2214yes—
218#2407C2212yes—
219#2407C2211yescharacteristic
220#2395C2212yes—
221#2392C2212yes—
222#2392C2212yes—
223#2388C2212yes—
224#2379C2214yes—
225#2376C2214yes—
226#2369C2212yes—
227#2369C2212yes—
228#2366C2212yes—
229#2365C2212yes—
230#2365C2211yescharacteristic
231#2363C2212yes—
232#2363C2212yes—
233#2360C2212yes—
234#2360C2212yes—
235#2359C2214yes—
236#2357C2212yes—
237#2355C2212yes—
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2212yes—
243#2354C2212yes—
244#2354C2212yes—
245#2352C2212yes—
246Q8×C4⋊C4C2211yescharacteristic
247Q8×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252#2347C2212yes—
253#2346C2214yes—
254#2346C2212yes—
255#2345C2212yes—
256#2345C2212yes—
257#2345C2212yes—
258#2341C2212yes—
259#2341C2212yes—
260#2339C2212yes—
261#2335C2214yes—
262#2324C2212yes—
263#2324C2212yes—
264#2324C2214yes—
265#2324C2212yes—
266#2323C2212yes—
267#2317C2212yes—
268#2316C2212yes—
269#2311C2212yes—
270#2311C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#126C2212yes—
276C4×#126C2214yes—
277C4×#124C2211yescharacteristic
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2297C2212yes—
285#2293C2212yes—
286#2293C2212yes—
287#2293C2211yescharacteristic
288#2293C2214yes—
289#2293C2211yescharacteristic
290C2×#389C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2212yes—
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302#547—28no—
303#547—48no—
304#542—48no—
305#541—48no—
306#532—28no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#127C2311yescharacteristic
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2312yes—
346C2×#121C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C4×#41—28no—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2314yes—
393C22×C42C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396#401C2314yes—
397#401C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#395C2312yes—
461#395C2314yes—
462#395C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2312yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#393C2314yes—
484#393C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2312yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#392C2314yes—
493#392C2312yes—
494#392C2312yes—
495#392C2312yes—
496#392C2312yes—
497#392C2312yes—
498#391C2314yes—
499#391C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2312yes—
503#391C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2311yescharacteristic
519#390C2314yes—
520#390C2314yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2314yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2311yescharacteristic
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2312yes—
638#387C2314yes—
639#387C2314yes—
640#387C2312yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2312yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2312yes—
701#384C2312yes—
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2312yes—
706#384C2312yes—
707#384C2311yescharacteristic
708#383C2314yes—
709#383C2312yes—
710#383C2314yes—
711#382C2311yescharacteristic
712#382C2314yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2314yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#381C2312yes—
721#381C2314yes—
722#381C2314yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2314yes—
811#376C2312yes—
812C2×#95C2314yes—
813C43C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—28no—
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—42no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C4⋊Q8—28no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—82no—
864#127—24no—
865#126—28no—
866#126—48no—
867#126—48no—
868#126—48no—
869#125—42no—
870#125—44no—
871#125—48no—
872#125—48no—
873#124—24no—
874#124—28no—
875#124—48no—
876#124—44no—
877#123—28no—
878#123—216no—
879#123—48no—
880#123—48no—
881#123—48no—
882#123—84no—
883#123—84no—
884C22⋊Q8—24no—
885C22⋊Q8—28no—
886C22⋊Q8—28no—
887C22⋊Q8—48no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—84no—
891#121—24no—
892#121—28no—
893#121—24no—
894#121—28no—
895#121—48no—
896#121—42no—
897#121—42no—
898#121—42no—
899#121—44no—
900#121—44no—
901#121—84no—
902C4×Q8—28no—
903C4×Q8—24no—
904C4×Q8—24no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—24no—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—42no—
922C4×D4—44no—
923C4×D4—84no—
924C4×D4#4118yes—
925#117—24no—
926#117—28no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—42no—
931#117—44no—
932#117—42no—
933#117—44no—
934#117—44no—
935#117—84no—
936#117—82no—
937#117—82no—
938C2×C4⋊C4—28no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—48no—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2411yescharacteristic
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C42—28no—
1075C2×C42—24no—
1076C2×C42—24no—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176C24C2512yes—
1177C24C2511yescharacteristic
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2512yes—
1181#41—416no—
1182#41—816no—
1183#41—816no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8H(5,𝔽2)14yes—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4C2×#4114yes—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—41no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4C2×#4118yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2511yescharacteristic
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4C2×#4114yes—
1380C4⋊C42−1+414yes—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4C2×#4118yes—
1444C42—22no—
1445C42—22no—
1446C42—24no—
1447C42—22no—
1448C42—24no—
1449C42—22no—
1450C42—24no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—22no—
1455C42—24no—
1456C42—28no—
1457C42—22no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—22no—
1464C42—44no—
1465C42—44no—
1466C42—42no—
1467C42—42no—
1468C42—44no—
1469C42—44no—
1470C42—42no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42C2×#4114yes—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—22no—
1486C23—21no—
1487C23—21no—
1488C23—22no—
1489C23—22no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—21no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23C22×#4114yes—
1512C23C2611yescharacteristic
1513Q8—28no—
1514Q8—48no—
1515Q8—84no—
1516Q8—164no—
1517D4—28no—
1518D4—48no—
1519D4—48no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—88no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—164no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—216no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—48no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—48no—
1617C2×C4—44no—
1618C2×C4—48no—
1619C2×C4—44no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—164no—
1623C2×C4—164no—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4114yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C2×H(5,𝔽2)14yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×2−1+412yes—
1631C2×C4C2×2−1+412yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4#58512yes—
1634C2×C4#58512yes—
1635C2×C4#58512yes—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—41no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22C23×#4111yescharacteristic
1672C22C22×H(5,𝔽2)11yescharacteristic
1673C22C22×2−1+411yescharacteristic
1674C22C2×#58511yescharacteristic
1675C22C2×#58511yescharacteristic
1676C22C2×#58511yescharacteristic
1677C22H(7,𝔽2)11yescharacteristic
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—24no—
1683C4—24no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—44no—
1697C4—42no—
1698C4—44no—
1699C4—42no—
1700C4—44no—
1701C4—41no—
1702C4—41no—
1703C4—44no—
1704C4—42no—
1705C4—42no—
1706C4#349414yes—
1707C4#352114yes—
1708C2—44no—
1709C2—81no—
1710C2—81no—
1711C2—82no—
1712C2—82no—
1713C2#6276111yescharacteristic
1714C2C2×#352111yescharacteristic
1715C2C2×#349411yescharacteristic
1716C2#6292311yescharacteristic
1717C2#6293711yescharacteristic
1718C2#6300011yescharacteristic
1719C2#6303911yescharacteristic
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. #59483C2semidirect
2. #59434C2semidirect
3. #59291C2semidirect
4. #59219C2semidirect
5. #59217C2semidirect
6. #50458C2semidirect
7. #50378C2semidirect
8. #46197C2semidirect
9. #45243C2semidirect
10. #45126C2semidirect
11. #44987C2semidirect
12. #44974C2semidirect
13. #42935C2semidirect
14. #42923C2semidirect
15. #42785C2semidirect
16. #42746C2semidirect
17. #39497C2semidirect
18. #39471C2semidirect
19. #39377C2semidirect
20. #39353C2semidirect
21. #38590C2semidirect
22. #38200C2semidirect
23. #37970C2semidirect
24. #36554C2semidirect
25. #36461C2semidirect
26. #36449C2semidirect
27. #36259C2semidirect
28. #36194C2semidirect
29. #35267C2semidirect
30. #35220C2semidirect
31. #34797C2semidirect
32. #34715C2semidirect
33. #34480C2semidirect
34. #34368C2semidirect
35. #34129C2semidirect

Maximal subgroups

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

subgroupindex
#594832
#594342
#592912
#592192
#592172
#504582
#503782
#461972
#452432
#451262
#449872
#449742
#429352
#429232
#427852
#427462
#394972
#394712
#393772
#393532
#385902
#382002
#379702
#365542
#364612
#364492
#362592
#361942
#352672
#352202
#347972
#347152
#344802
#343682
#341292