Finite Group Databasebeta

← #7987160

Subgroups — #7987160

Order 512.

4997 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59507C212yesmaximal, complemented
2#59465C211yesmaximal, characteristic, complemented
3#59314C211yesmaximal, characteristic, complemented
4#59219C211yesmaximal, characteristic, complemented
5#59076C212yesmaximal, complemented
6#51704C214yesmaximal, complemented
7#50392C214yesmaximal, complemented
8#46068C212yesmaximal, complemented
9#45688C212yesmaximal, complemented
10#45211C212yesmaximal, complemented
11#45106C212yesmaximal, complemented
12#43036C214yesmaximal, complemented
13#42946C212yesmaximal, complemented
14#42638C212yesmaximal, complemented
15#41344C214yesmaximal, complemented
16#40144C212yesmaximal, complemented
17#40099C212yesmaximal, complemented
18#39404C212yesmaximal, complemented
19#39352C211yesmaximal, characteristic, complemented
20#39148C211yesmaximal, characteristic, complemented
21#39126C212yesmaximal, complemented
22#38262C212yesmaximal, complemented
23#36460C211yesmaximal, characteristic, complemented
24#36447C211yesmaximal, characteristic, complemented
25#36290C211yesmaximal, characteristic, complemented
26#36182C211yesmaximal, characteristic, complemented
27#36135C212yesmaximal, complemented
28#36117C211yesmaximal, characteristic, complemented
29#35286C211yesmaximal, characteristic, complemented
30#35239C211yesmaximal, characteristic, complemented
31#35008C212yesmaximal, complemented
32#34934C211yesmaximal, characteristic, complemented
33#34898C211yesmaximal, characteristic, complemented
34#34431C212yesmaximal, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#553C2211yescharacteristic
38C2×#553C2212yes—
39C2×#540C2212yes—
40C2×#539C2214yes—
41C2×#529C2212yes—
42C2×#529C2212yes—
43#2860C2212yes—
44#2859C2212yes—
45#2859C2211yescharacteristic
46#2859C2212yes—
47#2859C2212yes—
48#2857C2212yes—
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yes—
52#2851C2212yes—
53#2851C2212yes—
54#2838C2214yes—
55#2836C2214yes—
56#2787C2214yes—
57#2784C2214yes—
58#2781C2214yes—
59#2777C2214yes—
60#2775C2214yes—
61#2765C2214yes—
62#2750C2214yes—
63#2749C2214yes—
64#2747C2214yes—
65#2746C2214yes—
66#2743C2214yes—
67#2743C2214yes—
68#2725C2214yes—
69#2723C2214yes—
70#2723C2214yes—
71#2722C2214yes—
72#2721C2214yes—
73#2720C2214yes—
74#2718C2214yes—
75#2708C2214yes—
76#2708C2214yes—
77#2706C2214yes—
78#2706C2214yes—
79#2702C2214yes—
80#2702C2214yes—
81#2702C2214yes—
82#2695C2214yes—
83#2694C2214yes—
84#2688C2214yes—
85#2681C2214yes—
86#2681C2214yes—
87#2671C2214yes—
88#2671C2214yes—
89#2667C2214yes—
90#2666C2214yes—
91#2664C2214yes—
92#2663C2214yes—
93#2647C2214yes—
94#2644C2212yes—
95#2633C2214yes—
96#2629C2214yes—
97#2624C2212yes—
98#2577C2212yes—
99#2575C2212yes—
100#2575C2214yes—
101#2571C2211yescharacteristic
102#2571C2212yes—
103#2571C2211yescharacteristic
104#2571C2211yescharacteristic
105#2571C2212yes—
106#2570C2211yescharacteristic
107#2570C2212yes—
108#2566C2212yes—
109#2565C2211yescharacteristic
110#2564C2214yes—
111#2563C2212yes—
112#2563C2212yes—
113#2562C2211yescharacteristic
114#2562C2214yes—
115#2559C2214yes—
116#2556C2214yes—
117#2554C2214yes—
118#2553C2214yes—
119#2553C2214yes—
120#2553C2214yes—
121#2553C2214yes—
122#2552C2211yescharacteristic
123#2552C2212yes—
124#2552C2211yescharacteristic
125#2552C2211yescharacteristic
126#2552C2212yes—
127#2551C2211yescharacteristic
128#2550C2212yes—
129#2548C2211yescharacteristic
130#2542C2212yes—
131#2541C2211yescharacteristic
132#2538C2211yescharacteristic
133#2537C2214yes—
134#2537C2212yes—
135#2536C2212yes—
136#2536C2211yescharacteristic
137#2535C2212yes—
138#2526C2214yes—
139#2524C2212yes—
140#2512C2212yes—
141#2512C2212yes—
142#2512C2212yes—
143#2512C2212yes—
144#2512C2212yes—
145#2509C2212yes—
146#2508C2212yes—
147#2508C2214yes—
148#2507C2212yes—
149#2507C2212yes—
150#2506C2214yes—
151#2506C2212yes—
152#2506C2212yes—
153#2505C2214yes—
154#2504C2212yes—
155#2504C2212yes—
156#2501C2212yes—
157#2501C2212yes—
158#2500C2212yes—
159#2500C2212yes—
160#2496C2211yescharacteristic
161#2495C2211yescharacteristic
162#2494C2212yes—
163#2494C2212yes—
164#2493C2214yes—
165#2490C2212yes—
166#2488C2214yes—
167#2488C2214yes—
168#2487C2212yes—
169#2486C2212yes—
170#2479C2214yes—
171#2478C2214yes—
172#2478C2214yes—
173#2475C2214yes—
174#2473C2214yes—
175#2470C2214yes—
176#2468C2212yes—
177#2460C2214yes—
178#2455C2214yes—
179#2455C2214yes—
180#2454C2212yes—
181#2454C2212yes—
182#2454C2212yes—
183#2454C2212yes—
184#2452C2212yes—
185#2452C2212yes—
186#2449C2214yes—
187#2449C2214yes—
188#2448C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2442C2214yes—
192#2442C2212yes—
193#2442C2212yes—
194#2442C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2440C2212yes—
198#2440C2212yes—
199#2440C2212yes—
200#2438C2214yes—
201#2428C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2425C2214yes—
205#2425C2214yes—
206#2425C2214yes—
207#2423C2211yescharacteristic
208#2423C2212yes—
209#2422C2212yes—
210#2422C2212yes—
211#2422C2212yes—
212#2422C2212yes—
213#2421C2211yescharacteristic
214#2420C2212yes—
215#2420C2212yes—
216#2420C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2416C2212yes—
220#2416C2212yes—
221#2415C2214yes—
222#2402C2212yes—
223#2395C2212yes—
224#2392C2214yes—
225#2377C2214yes—
226#2376C2214yes—
227#2374C2212yes—
228#2373C2212yes—
229#2370C2211yescharacteristic
230#2366C2211yescharacteristic
231#2366C2211yescharacteristic
232#2364C2212yes—
233#2363C2212yes—
234#2363C2211yescharacteristic
235#2361C2212yes—
236#2361C2214yes—
237#2361C2212yes—
238#2361C2212yes—
239#2361C2212yes—
240#2361C2211yescharacteristic
241#2360C2212yes—
242#2359C2214yes—
243#2359C2214yes—
244#2357C2212yes—
245#2357C2212yes—
246#2357C2211yescharacteristic
247#2354C2212yes—
248#2353C2212yes—
249#2352C2211yescharacteristic
250#2351C2212yes—
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2212yes—
254#2349C2212yes—
255#2349C2212yes—
256#2349C2212yes—
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2211yescharacteristic
260#2347C2211yescharacteristic
261#2345C2211yescharacteristic
262#2335C2214yes—
263#2331C2212yes—
264#2330C2212yes—
265#2328C2212yes—
266#2325C2214yes—
267#2324C2214yes—
268#2322C2214yes—
269#2317C2212yes—
270#2316C2212yes—
271C4×#127C2211yescharacteristic
272C4×#127C2212yes—
273C4×#125C2211yescharacteristic
274C4×#125C2211yescharacteristic
275C4×#125C2212yes—
276C4×#126C2212yes—
277C4×#126C2212yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×#123C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286#2298C2212yes—
287#2293C2212yes—
288C2×#389C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291C2×#384C2211yescharacteristic
292#2283C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#554—48no—
300#553—28no—
301#553—48no—
302#540—216no—
303#539—416no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×#127C2312yes—
307C2×#127C2311yescharacteristic
308#529—48no—
309#529—48no—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2314yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2311yescharacteristic
390C2×#117C2314yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C42C2311yescharacteristic
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2312yes—
405#401C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#398C2312yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2314yes—
497#392C2314yes—
498#392C2314yes—
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2314yes—
502#391C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#383C2312yes—
699#383C2312yes—
700#383C2312yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2311yescharacteristic
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2312yes—
715#382C2314yes—
716#382C2312yes—
717#381C2314yes—
718#381C2312yes—
719#381C2314yes—
720#381C2312yes—
721#381C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2314yes—
727#380C2314yes—
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2414yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849#127—28no—
850#127—24no—
851#126—28no—
852#126—28no—
853#126—48no—
854#126—48no—
855#126—48no—
856#126—48no—
857#125—28no—
858#125—24no—
859#125—42no—
860#125—44no—
861#125—44no—
862#125—48no—
863#125—48no—
864#125—44no—
865#125—48no—
866#124—28no—
867#123—28no—
868#123—216no—
869#123—216no—
870#123—216no—
871#123—48no—
872#123—48no—
873#123—48no—
874#123—48no—
875#123—48no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—24no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884#121—216no—
885#121—216no—
886#121—28no—
887#121—24no—
888#121—28no—
889#121—44no—
890#121—48no—
891#121—48no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121#4118yes—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—28no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—48no—
913C4×D4—48no—
914C4×D4—48no—
915C4×D4—42no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—48no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—48no—
928#117—28no—
929#117—24no—
930#117—48no—
931#117—48no—
932#117—44no—
933#117—42no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—42no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2411yescharacteristic
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—44no—
1073C2×C42—44no—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
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#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24C2514yes—
1180C24C2511yescharacteristic
1181C24C2512yes—
1182C24C2511yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—44no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8H(5,𝔽2)14yes—
1189C2×D4—22no—
1190C2×D4—24no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4C2×#4114yes—
1221C2×D4C2×#4118yes—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—28no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—28no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4C2×#4114yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2514yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—41no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4C2×#4114yes—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—22no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—28no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4C2×#4118yes—
1431C22⋊C4H(5,𝔽2)14yes—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—28no—
1441C42—22no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—22no—
1452C42—24no—
1453C42—24no—
1454C42—22no—
1455C42—42no—
1456C42—42no—
1457C42—42no—
1458C42—42no—
1459C42—42no—
1460C42—41no—
1461C42—42no—
1462C42—42no—
1463C42—44no—
1464C42—42no—
1465C42—44no—
1466C422−1+414yes—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—22no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—24no—
1486C23—24no—
1487C23—24no—
1488C23—24no—
1489C23—24no—
1490C23—24no—
1491C23—24no—
1492C23C22×#4112yes—
1493C23C22×#4114yes—
1494C23C2×H(5,𝔽2)12yes—
1495C23C2611yescharacteristic
1496Q8—28no—
1497Q8—164no—
1498D4—28no—
1499D4—48no—
1500D4—48no—
1501D4—44no—
1502D4—48no—
1503D4—48no—
1504D4—84no—
1505D4—88no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—28no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—24no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—44no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—84no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—88no—
1604C2×C4—164no—
1605C2×C4—164no—
1606C2×C4—164no—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C2×H(5,𝔽2)14yes—
1611C2×C4C2×H(5,𝔽2)12yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×H(5,𝔽2)12yes—
1614C2×C4C2×2−1+412yes—
1615C2×C4C2×2−1+412yes—
1616C2×C4C2×2−1+412yes—
1617C2×C4#58512yes—
1618C2×C4#58512yes—
1619C22—24no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—24no—
1624C22—24no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—42no—
1639C22—41no—
1640C22—44no—
1641C22—44no—
1642C22—44no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—44no—
1647C22C23×#4111yescharacteristic
1648C22C22×H(5,𝔽2)11yescharacteristic
1649C22C22×H(5,𝔽2)11yescharacteristic
1650C22C22×2−1+411yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C222−1+611yescharacteristic
1654C4—24no—
1655C4—24no—
1656C4—22no—
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—42no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—44no—
1675C4—41no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—42no—
1683C4#351514yes—
1684C4#355914yes—
1685C2—44no—
1686C2—42no—
1687C2—42no—
1688C2—84no—
1689C2C2×#355911yescharacteristic
1690C2C2×#351511yescharacteristic
1691C2#6280011yescharacteristic
1692C2#6291511yescharacteristic
1693C2#6296811yescharacteristic
1694C2#6298411yescharacteristic
1695C2#6301411yescharacteristic
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. #59507C2semidirect
2. #59465C2semidirect
3. #59314C2semidirect
4. #59219C2semidirect
5. #59076C2semidirect
6. #51704C2semidirect
7. #50392C2semidirect
8. #46068C2semidirect
9. #45688C2semidirect
10. #45211C2semidirect
11. #45106C2semidirect
12. #43036C2semidirect
13. #42946C2semidirect
14. #42638C2semidirect
15. #41344C2semidirect
16. #40144C2semidirect
17. #40099C2semidirect
18. #39404C2semidirect
19. #39352C2semidirect
20. #39148C2semidirect
21. #39126C2semidirect
22. #38262C2semidirect
23. #36460C2semidirect
24. #36447C2semidirect
25. #36290C2semidirect
26. #36182C2semidirect
27. #36135C2semidirect
28. #36117C2semidirect
29. #35286C2semidirect
30. #35239C2semidirect
31. #35008C2semidirect
32. #34934C2semidirect
33. #34898C2semidirect
34. #34431C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#595072
#594652
#593142
#592192
#590762
#517042
#503922
#460682
#456882
#452112
#451062
#430362
#429462
#426382
#413442
#401442
#400992
#394042
#393522
#391482
#391262
#382622
#364602
#364472
#362902
#361822
#361352
#361172
#352862
#352392
#350082
#349342
#348982
#344312
C4×#5532