Finite Group Databasebeta

← #7987500

Subgroups — #7987500

Order 512.

4838 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59824C212yesmaximal, complemented
2#59700C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59302C211yesmaximal, characteristic, complemented
5#59257C211yesmaximal, characteristic, complemented
6#50796C214yesmaximal, complemented
7#50792C214yesmaximal, complemented
8#46076C214yesmaximal, complemented
9#45312C212yesmaximal, complemented
10#45216C212yesmaximal, complemented
11#45160C212yesmaximal, complemented
12#45160C212yesmaximal, complemented
13#42723C212yesmaximal, complemented
14#42664C212yesmaximal, complemented
15#42617C212yesmaximal, complemented
16#42454C212yesmaximal, complemented
17#40417C214yesmaximal, complemented
18#39735C211yesmaximal, characteristic, complemented
19#39485C212yesmaximal, complemented
20#39287C212yesmaximal, complemented
21#39148C211yesmaximal, characteristic, complemented
22#39137C211yesmaximal, characteristic, complemented
23#39137C211yesmaximal, characteristic, complemented
24#36584C211yesmaximal, characteristic, complemented
25#36495C212yesmaximal, complemented
26#36468C212yesmaximal, complemented
27#36270C211yesmaximal, characteristic, complemented
28#36182C211yesmaximal, characteristic, complemented
29#35218C212yesmaximal, complemented
30#35215C212yesmaximal, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34898C211yesmaximal, characteristic, complemented
33#34384C211yesmaximal, characteristic, complemented
34#34383C211yesmaximal, characteristic, complemented
35C4×#559C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#553C2212yes—
38C2×#553C2212yes—
39C2×#552C2212yes—
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42#2860C2212yes—
43#2859C2212yes—
44#2859C2211yescharacteristic
45#2856C2211yescharacteristic
46#2856C2211yescharacteristic
47#2854C2214yes—
48#2853C2214yes—
49#2852C2214yes—
50#2836C2214yes—
51#2828C2214yes—
52#2803C2214yes—
53#2800C2214yes—
54#2800C2214yes—
55#2800C2214yes—
56#2793C2214yes—
57#2780C2214yes—
58#2761C2214yes—
59#2761C2214yes—
60#2753C2214yes—
61#2753C2214yes—
62#2753C2214yes—
63#2753C2214yes—
64#2753C2214yes—
65#2750C2214yes—
66#2749C2214yes—
67#2739C2214yes—
68#2739C2214yes—
69#2725C2214yes—
70#2725C2214yes—
71#2721C2214yes—
72#2714C2214yes—
73#2705C2214yes—
74#2705C2214yes—
75#2703C2214yes—
76#2701C2214yes—
77#2701C2214yes—
78#2701C2214yes—
79#2688C2214yes—
80#2688C2214yes—
81#2688C2214yes—
82#2682C2214yes—
83#2682C2214yes—
84#2673C2214yes—
85#2654C2214yes—
86#2652C2214yes—
87#2649C2214yes—
88#2648C2214yes—
89#2648C2214yes—
90#2644C2212yes—
91#2635C2214yes—
92#2620C2212yes—
93#2620C2212yes—
94#2619C2212yes—
95#2602C2214yes—
96#2602C2214yes—
97#2601C2214yes—
98#2597C2214yes—
99#2595C2214yes—
100#2578C2214yes—
101#2578C2214yes—
102#2577C2212yes—
103#2575C2212yes—
104#2573C2214yes—
105#2573C2214yes—
106#2571C2211yescharacteristic
107#2571C2212yes—
108#2571C2212yes—
109#2571C2211yescharacteristic
110#2570C2211yescharacteristic
111#2570C2212yes—
112#2566C2212yes—
113#2565C2211yescharacteristic
114#2562C2211yescharacteristic
115#2562C2212yes—
116#2559C2214yes—
117#2559C2214yes—
118#2559C2214yes—
119#2559C2214yes—
120#2559C2214yes—
121#2559C2214yes—
122#2558C2214yes—
123#2554C2214yes—
124#2554C2214yes—
125#2554C2212yes—
126#2554C2212yes—
127#2554C2214yes—
128#2552C2211yescharacteristic
129#2548C2211yescharacteristic
130#2548C2212yes—
131#2548C2212yes—
132#2541C2212yes—
133#2541C2211yescharacteristic
134#2541C2211yescharacteristic
135#2541C2211yescharacteristic
136#2540C2212yes—
137#2540C2212yes—
138#2538C2211yescharacteristic
139#2538C2211yescharacteristic
140#2538C2211yescharacteristic
141#2537C2212yes—
142#2537C2212yes—
143#2536C2211yescharacteristic
144#2536C2212yes—
145#2535C2212yes—
146#2535C2212yes—
147#2535C2212yes—
148#2524C2212yes—
149#2518C2214yes—
150#2518C2214yes—
151#2516C2214yes—
152#2513C2212yes—
153#2512C2212yes—
154#2512C2212yes—
155#2512C2212yes—
156#2512C2212yes—
157#2512C2212yes—
158#2509C2212yes—
159#2509C2214yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2214yes—
163#2506C2212yes—
164#2504C2212yes—
165#2504C2212yes—
166#2504C2212yes—
167#2503C2212yes—
168#2500C2212yes—
169#2500C2212yes—
170#2499C2212yes—
171#2496C2211yescharacteristic
172#2496C2212yes—
173#2496C2214yes—
174#2495C2211yescharacteristic
175#2495C2212yes—
176#2495C2212yes—
177#2490C2214yes—
178#2490C2211yescharacteristic
179#2490C2211yescharacteristic
180#2481C2214yes—
181#2471C2214yes—
182#2470C2214yes—
183#2470C2214yes—
184#2468C2212yes—
185#2467C2214yes—
186#2466C2214yes—
187#2466C2214yes—
188#2457C2214yes—
189#2456C2214yes—
190#2454C2212yes—
191#2454C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2428C2212yes—
197#2428C2214yes—
198#2428C2212yes—
199#2428C2212yes—
200#2426C2211yescharacteristic
201#2426C2212yes—
202#2426C2211yescharacteristic
203#2426C2212yes—
204#2423C2211yescharacteristic
205#2422C2212yes—
206#2422C2212yes—
207#2422C2212yes—
208#2421C2211yescharacteristic
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2417C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yes—
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2402C2212yes—
221#2395C2212yes—
222#2392C2212yes—
223#2392C2212yes—
224#2383C2214yes—
225#2376C2214yes—
226#2374C2214yes—
227#2370C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2366C2212yes—
232#2366C2211yescharacteristic
233#2363C2214yes—
234#2361C2212yes—
235#2361C2212yes—
236#2361C2212yes—
237#2360C2212yes—
238#2357C2212yes—
239#2357C2212yes—
240#2357C2212yes—
241#2355C2211yescharacteristic
242#2355C2211yescharacteristic
243#2354C2211yescharacteristic
244#2354C2211yescharacteristic
245#2354C2212yes—
246#2352C2212yes—
247#2352C2212yes—
248#2352C2212yes—
249#2352C2212yes—
250#2352C2212yes—
251#2351C2212yes—
252#2351C2212yes—
253Q8×C4⋊C4C2211yescharacteristic
254Q8×C4⋊C4C2211yescharacteristic
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258#2345C2212yes—
259#2334C2214yes—
260#2330C2212yes—
261#2328C2212yes—
262#2326C2212yes—
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2323C2212yes—
268#2322C2214yes—
269#2317C2212yes—
270#2317C2212yes—
271#2314C2212yes—
272#2314C2212yes—
273C4×#127C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2212yes—
276C4×#125C2211yescharacteristic
277C4×#125C2212yes—
278C4×#126C2212yes—
279C4×#124C2212yes—
280C4×#124C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×#123C2214yes—
284C4×#121C2211yescharacteristic
285C4×#121C2214yes—
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2293C2212yes—
289#2293C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C42×D4C2212yes—
299#559—28no—
300#553—48no—
301#553—48no—
302#552—48no—
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305C2×#127C2311yescharacteristic
306C2×#127C2312yes—
307C2×#127C2312yes—
308#529—28no—
309#529—28no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#124C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#123C2312yes—
327C2×#123C2314yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2311yescharacteristic
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2314yes—
396C2×#117C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#397C2312yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2312yes—
464#396C2312yes—
465#396C2312yes—
466#396C2314yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2312yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#392C2312yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2312yes—
503#392C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2311yescharacteristic
703#384C2311yescharacteristic
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2311yescharacteristic
711#384C2312yes—
712#383C2312yes—
713#383C2314yes—
714#383C2312yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#381C2314yes—
730#381C2314yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2314yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2314yes—
812#376C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2414yes—
848C23×C4C2414yes—
849C23×C4C2414yes—
850#127—24no—
851#127—44no—
852#127—42no—
853#127—44no—
854#127—44no—
855#126—28no—
856#126—28no—
857#126—48no—
858#126—44no—
859#126—48no—
860#126—48no—
861#126—84no—
862#125—24no—
863#125—24no—
864#125—28no—
865#125—24no—
866#125—48no—
867#124—24no—
868#124—24no—
869#124—28no—
870#124—28no—
871#123—28no—
872#123—28no—
873#123—216no—
874#123—48no—
875#123—48no—
876#123—48no—
877#123—84no—
878C22⋊Q8—24no—
879C22⋊Q8—24no—
880C22⋊Q8—42no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884#121—24no—
885#121—24no—
886#121—48no—
887#121—48no—
888#121—48no—
889#121—48no—
890#121—44no—
891#121—44no—
892#121—42no—
893#121—42no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—44no—
900#121—44no—
901#121—84no—
902#121—84no—
903#121—82no—
904C4×Q8—24no—
905C4×Q8—24no—
906C4×Q8—44no—
907C4×Q8—42no—
908C4×Q8—42no—
909C4×Q8—44no—
910C4×Q8—42no—
911C4×Q8#4118yes—
912C4×D4—28no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—24no—
920C4×D4—28no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—42no—
930C4×D4—48no—
931C4×D4—48no—
932C4×D4—42no—
933C4×D4—84no—
934C4×D4—82no—
935#117—28no—
936#117—28no—
937#117—44no—
938#117—48no—
939#117—44no—
940#117—44no—
941#117—44no—
942C2×C4⋊C4—44no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—82no—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C42—24no—
1081C2×C42—24no—
1082C2×C42—84no—
1083C2×C42C2412yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2414yes—
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2514yes—
1182C24C2511yescharacteristic
1183C24C2511yescharacteristic
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—22no—
1189C2×Q8C2×#4114yes—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
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—44no—
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—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—41no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—41no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—41no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2514yes—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4C2×#4114yes—
1382C4⋊C4C2×#4118yes—
1383C22⋊C4—22no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—22no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C42—22no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—42no—
1465C42—42no—
1466C42—44no—
1467C42—44no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—41no—
1472C42—41no—
1473C42—42no—
1474C42—42no—
1475C42—44no—
1476C42—44no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42C2×#4114yes—
1481C42C2×#4118yes—
1482C42H(5,𝔽2)14yes—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—24no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—24no—
1497C23—21no—
1498C23—21no—
1499C23—22no—
1500C23—24no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—21no—
1517C23#58512yes—
1518C23C2611yescharacteristic
1519Q8—28no—
1520Q8—44no—
1521D4—44no—
1522D4—48no—
1523D4—44no—
1524D4—44no—
1525D4—48no—
1526D4—48no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—88no—
1531D4—84no—
1532D4—88no—
1533D4—84no—
1534D4—84no—
1535D4—164no—
1536D4—164no—
1537D4—164no—
1538D4—164no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—82no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—164no—
1631C2×C4—164no—
1632C2×C4C22×#4112yes—
1633C2×C4C22×#4114yes—
1634C2×C4C22×#4114yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—44no—
1654C22—41no—
1655C22—44no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—42no—
1660C22—42no—
1661C22—44no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—44no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22—44no—
1671C22—42no—
1672C22—42no—
1673C22—41no—
1674C22—44no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22C23×#4111yescharacteristic
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—24no—
1688C4—24no—
1689C4—22no—
1690C4—42no—
1691C4—44no—
1692C4—42no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—42no—
1710C4—44no—
1711C4—42no—
1712C4—44no—
1713C4#351214yes—
1714C4#351714yes—
1715C2—42no—
1716C2—82no—
1717C2—81no—
1718C2—82no—
1719C2—84no—
1720C2#6274811yescharacteristic
1721C2C2×#351711yescharacteristic
1722C2C2×#351211yescharacteristic
1723C2#6293811yescharacteristic
1724C2#6296111yescharacteristic
1725C2#6300811yescharacteristic
1726C2#6302911yescharacteristic
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. #59824C2semidirect
2. #59700C2semidirect
3. #59680C2semidirect
4. #59302C2semidirect
5. #59257C2semidirect
6. #50796C2semidirect
7. #50792C2semidirect
8. #46076C2semidirect
9. #45312C2semidirect
10. #45216C2semidirect
11. #45160C2semidirect
12. #45160C2semidirect
13. #42723C2semidirect
14. #42664C2semidirect
15. #42617C2semidirect
16. #42454C2semidirect
17. #40417C2semidirect
18. #39735C2semidirect
19. #39485C2semidirect
20. #39287C2semidirect
21. #39148C2semidirect
22. #39137C2semidirect
23. #39137C2semidirect
24. #36584C2semidirect
25. #36495C2semidirect
26. #36468C2semidirect
27. #36270C2semidirect
28. #36182C2semidirect
29. #35218C2semidirect
30. #35215C2semidirect
31. #34934C2semidirect
32. #34898C2semidirect
33. #34384C2semidirect
34. #34383C2semidirect
35. C4×#559C2semidirect

Maximal subgroups

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

subgroupindex
#598242
#597002
#596802
#593022
#592572
#507962
#507922
#460762
#453122
#452162
#451602
#427232
#426642
#426172
#424542
#404172
#397352
#394852
#392872
#391482
#391372
#365842
#364952
#364682
#362702
#361822
#352182
#352152
#349342
#348982
#343842
#343832
C4×#5592