Finite Group Databasebeta

← #7986745

Subgroups — #7986745

Order 512.

5709 conjugacy classes of subgroups.

The subgroup lattice has 1834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59419C211yesmaximal, characteristic, complemented
2#59411C211yesmaximal, characteristic, complemented
3#59410C211yesmaximal, characteristic, complemented
4#59145C212yesmaximal, complemented
5#59097C212yesmaximal, complemented
6#50677C214yesmaximal, complemented
7#49992C214yesmaximal, complemented
8#46050C212yesmaximal, complemented
9#46010C212yesmaximal, complemented
10#45043C212yesmaximal, complemented
11#44891C212yesmaximal, complemented
12#44260C214yesmaximal, complemented
13#42889C212yesmaximal, complemented
14#42578C212yesmaximal, complemented
15#42065C214yesmaximal, complemented
16#40146C212yesmaximal, complemented
17#40122C212yesmaximal, complemented
18#39853C212yesmaximal, complemented
19#39745C211yesmaximal, characteristic, complemented
20#39532C212yesmaximal, complemented
21#38956C211yesmaximal, characteristic, complemented
22#37772C212yesmaximal, complemented
23#36597C211yesmaximal, characteristic, complemented
24#36595C211yesmaximal, characteristic, complemented
25#36592C211yesmaximal, characteristic, complemented
26#36502C212yesmaximal, complemented
27#36419C211yesmaximal, characteristic, complemented
28#36125C211yesmaximal, characteristic, complemented
29#35293C212yesmaximal, complemented
30#35199C211yesmaximal, characteristic, complemented
31#35198C211yesmaximal, characteristic, complemented
32#34925C211yesmaximal, characteristic, complemented
33#34918C211yesmaximal, characteristic, complemented
34#34477C212yesmaximal, complemented
35C4×#556C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#556C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#550C2212yes—
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×#550C2212yes—
45C2×#547C2211yescharacteristic
46C2×#542C2212yes—
47C2×#532C2212yes—
48C2×#532C2212yes—
49C2×#532C2212yes—
50#2867C2211yescharacteristic
51#2867C2212yes—
52#2863C2212yes—
53#2862C2212yes—
54#2860C2212yes—
55#2858C2211yescharacteristic
56#2858C2211yescharacteristic
57#2858C2212yes—
58#2858C2212yes—
59#2850C2212yes—
60#2850C2212yes—
61#2828C2214yes—
62#2818C2214yes—
63#2797C2214yes—
64#2761C2214yes—
65#2756C2214yes—
66#2753C2214yes—
67#2751C2214yes—
68#2749C2214yes—
69#2733C2214yes—
70#2730C2214yes—
71#2714C2214yes—
72#2714C2214yes—
73#2714C2214yes—
74#2712C2214yes—
75#2709C2214yes—
76#2709C2214yes—
77#2709C2214yes—
78#2705C2214yes—
79#2703C2214yes—
80#2703C2214yes—
81#2703C2214yes—
82#2701C2214yes—
83#2699C2214yes—
84#2699C2214yes—
85#2691C2214yes—
86#2686C2214yes—
87#2676C2214yes—
88#2676C2214yes—
89#2673C2214yes—
90#2673C2214yes—
91#2673C2214yes—
92#2673C2214yes—
93#2673C2214yes—
94#2672C2214yes—
95#2671C2214yes—
96#2666C2214yes—
97#2662C2214yes—
98#2661C2214yes—
99#2657C2212yes—
100#2636C2214yes—
101#2630C2214yes—
102#2619C2212yes—
103#2619C2214yes—
104#2619C2214yes—
105#2598C2214yes—
106#2597C2212yes—
107#2595C2212yes—
108#2595C2214yes—
109#2592C2211yescharacteristic
110#2582C2211yescharacteristic
111#2580C2211yescharacteristic
112#2570C2211yescharacteristic
113#2568C2211yescharacteristic
114#2559C2214yes—
115#2559C2214yes—
116#2557C2214yes—
117#2555C2214yes—
118#2555C2214yes—
119#2554C2214yes—
120#2554C2214yes—
121#2554C2214yes—
122#2551C2211yescharacteristic
123#2548C2211yescharacteristic
124#2548C2212yes—
125#2548C2212yes—
126#2548C2212yes—
127#2546C2211yescharacteristic
128#2545C2212yes—
129#2544C2212yes—
130#2544C2212yes—
131#2544C2212yes—
132#2544C2212yes—
133#2544C2214yes—
134#2544C2211yescharacteristic
135#2544C2212yes—
136#2544C2212yes—
137#2544C2212yes—
138#2544C2214yes—
139#2543C2214yes—
140#2541C2212yes—
141#2541C2211yescharacteristic
142#2541C2211yescharacteristic
143#2541C2212yes—
144#2541C2214yes—
145#2541C2214yes—
146#2541C2212yes—
147#2541C2211yescharacteristic
148#2541C2212yes—
149#2541C2212yes—
150#2540C2212yes—
151#2538C2211yescharacteristic
152#2537C2211yescharacteristic
153#2531C2214yes—
154#2520C2214yes—
155#2516C2212yes—
156#2513C2211yescharacteristic
157#2511C2211yescharacteristic
158#2508C2212yes—
159#2504C2212yes—
160#2500C2212yes—
161#2491C2212yes—
162#2491C2212yes—
163#2491C2212yes—
164#2476C2214yes—
165#2468C2214yes—
166#2467C2214yes—
167#2464C2214yes—
168#2464C2214yes—
169#2464C2214yes—
170#2461C2214yes—
171#2459C2214yes—
172#2459C2214yes—
173#2458C2212yes—
174#2457C2214yes—
175#2456C2214yes—
176#2452C2212yes—
177#2451C2212yes—
178#2451C2212yes—
179#2450C2214yes—
180#2447C2212yes—
181#2447C2211yescharacteristic
182#2446C2212yes—
183#2445C2212yes—
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2445C2211yescharacteristic
188#2445C2212yes—
189#2445C2212yes—
190#2432C2212yes—
191#2432C2212yes—
192#2432C2212yes—
193#2431C2212yes—
194#2431C2212yes—
195#2431C2212yes—
196#2431C2212yes—
197#2431C2212yes—
198#2431C2212yes—
199#2431C2212yes—
200#2431C2212yes—
201#2431C2212yes—
202#2431C2214yes—
203#2431C2214yes—
204#2430C2214yes—
205#2428C2212yes—
206#2428C2212yes—
207#2428C2212yes—
208#2428C2212yes—
209#2428C2212yes—
210#2428C2212yes—
211#2428C2212yes—
212#2428C2212yes—
213#2427C2212yes—
214#2427C2212yes—
215#2427C2212yes—
216#2426C2212yes—
217#2426C2212yes—
218#2426C2212yes—
219#2426C2212yes—
220#2425C2214yes—
221#2425C2214yes—
222#2423C2212yes—
223#2422C2212yes—
224#2420C2212yes—
225#2420C2212yes—
226#2417C2212yes—
227#2414C2212yes—
228#2407C2214yes—
229#2398C2212yes—
230#2395C2212yes—
231#2388C2214yes—
232#2380C2214yes—
233#2377C2214yes—
234#2373C2212yes—
235#2373C2212yes—
236#2367C2212yes—
237#2367C2212yes—
238#2367C2211yescharacteristic
239#2367C2211yescharacteristic
240#2366C2212yes—
241#2366C2212yes—
242#2365C2211yescharacteristic
243#2364C2214yes—
244#2364C2214yes—
245#2363C2212yes—
246#2363C2212yes—
247#2362C2212yes—
248#2361C2212yes—
249#2361C2212yes—
250#2356C2211yescharacteristic
251#2356C2211yescharacteristic
252#2355C2211yescharacteristic
253#2354C2211yescharacteristic
254#2353C2214yes—
255#2352C2212yes—
256#2349C2212yes—
257#2347C2212yes—
258#2341C2212yes—
259#2339C2212yes—
260#2339C2212yes—
261#2339C2212yes—
262#2333C2214yes—
263#2331C2212yes—
264#2328C2212yes—
265#2328C2214yes—
266#2328C2214yes—
267#2325C2214yes—
268#2324C2212yes—
269#2320C2212yes—
270#2318C2214yes—
271#2311C2212yes—
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2211yescharacteristic
274C4×#127C2211yescharacteristic
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#127C2212yes—
278C4×#126C2212yes—
279C4×#126C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289#2297C2212yes—
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2290C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304#559—48no—
305#559—44no—
306#556—28no—
307#556—44no—
308#550—216no—
309#550—44no—
310#550—44no—
311#550—44no—
312#550—48no—
313#547—44no—
314#542—48no—
315#532—48no—
316#532—48no—
317#532—48no—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2314yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2311yescharacteristic
329C2×#127C2314yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2314yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2314yes—
342C2×#126C2312yes—
343C2×#126C2312yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#124C2311yescharacteristic
347C2×#124C2312yes—
348C2×#124C2311yescharacteristic
349C2×#124C2311yescharacteristic
350C2×#124C2312yes—
351C2×#124C2312yes—
352C2×#124C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2314yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2314yes—
360C2×#124C2314yes—
361C2×#124C2314yes—
362C2×#124C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2312yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2311yescharacteristic
412C2×C4×Q8C2311yescharacteristic
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×C4×D4C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C42C2312yes—
446C22×C42C2312yes—
447#400C2314yes—
448#400C2312yes—
449#400C2314yes—
450#400C2312yes—
451#400C2312yes—
452#399C2312yes—
453#399C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#395C2314yes—
476#395C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#393C2312yes—
513#393C2312yes—
514#393C2314yes—
515#393C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2314yes—
551#391C2314yes—
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#391C2312yes—
555#391C2311yescharacteristic
556#391C2314yes—
557#391C2312yes—
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#390C2314yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#383C2312yes—
738#383C2312yes—
739#383C2314yes—
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2311yescharacteristic
743#382C2314yes—
744#382C2311yescharacteristic
745#382C2314yes—
746#382C2311yescharacteristic
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2312yes—
816#376C2312yes—
817C2×#95C2314yes—
818C2×#95C2314yes—
819C43C2312yes—
820C43C2312yes—
821C43C2311yescharacteristic
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—48no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—48no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—84no—
839C22×Q8C2411yescharacteristic
840C22×Q8C2412yes—
841C22×Q8C2411yescharacteristic
842C22×Q8C2411yescharacteristic
843C22×Q8C2411yescharacteristic
844C22×Q8C2414yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C4⋊Q8—24no—
889C4⋊Q8—28no—
890C4⋊Q8—24no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893#127—216no—
894#127—28no—
895#127—24no—
896#127—24no—
897#127—48no—
898#127—44no—
899#127—42no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—44no—
905#127—44no—
906#127—44no—
907#127—44no—
908#127—48no—
909#127—44no—
910#127—82no—
911#127—84no—
912#126—28no—
913#126—28no—
914#126—48no—
915#126—48no—
916#124—24no—
917#124—24no—
918#124—24no—
919#124—28no—
920#124—48no—
921#124—44no—
922#124—42no—
923#124—44no—
924#124—44no—
925#124—48no—
926#124—44no—
927#124—44no—
928#124—44no—
929#124—44no—
930#124—48no—
931#124—48no—
932#124—84no—
933#123—48no—
934#123—48no—
935#123—48no—
936#123—44no—
937#123—48no—
938#123—48no—
939#123—84no—
940C22⋊Q8—28no—
941C22⋊Q8—48no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945#121—28no—
946#121—28no—
947#121—216no—
948#121—216no—
949#121—28no—
950#121—28no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—48no—
956#121—48no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—48no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—84no—
970#121—84no—
971C4×Q8—24no—
972C4×Q8—24no—
973C4×Q8—24no—
974C4×Q8—24no—
975C4×Q8—24no—
976C4×Q8—24no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×Q8—42no—
980C4×Q8—44no—
981C4×Q8—44no—
982C4×Q8#4118yescomplemented
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—216no—
986C4×D4—28no—
987C4×D4—24no—
988C4×D4—28no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—48no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—42no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—48no—
1005C4×D4—44no—
1006C4×D4—48no—
1007C4×D4—48no—
1008C4×D4—82no—
1009C4×D4—82no—
1010#117—28no—
1011#117—44no—
1012#117—44no—
1013#117—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C42—28no—
1134C2×C42—44no—
1135C2×C42C2411yescharacteristic
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2412yes—
1220#95C2412yes—
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231C24C2512yes—
1232C24C2514yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2514yes—
1236#41—832no—
1237#41—816no—
1238#41—816no—
1239#41—816no—
1240#41—816no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—24no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—28no—
1253C2×Q8—24no—
1254C2×Q8—22no—
1255C2×Q8—41no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8C2×#4114yes—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—28no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—28no—
1268C2×D4—28no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—28no—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—28no—
1362C22×C4—28no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2514yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—41no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4C2×#4114yes—
1466C4⋊C4C2×#4118yes—
1467C4⋊C4H(5,𝔽2)14yes—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C42—24no—
1537C42—22no—
1538C42—22no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—22no—
1543C42—24no—
1544C42—22no—
1545C42—22no—
1546C42—24no—
1547C42—24no—
1548C42—22no—
1549C42—24no—
1550C42—24no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—22no—
1555C42—22no—
1556C42—22no—
1557C42—22no—
1558C42—42no—
1559C42—42no—
1560C42—42no—
1561C42—44no—
1562C42—44no—
1563C42—41no—
1564C42—41no—
1565C42—41no—
1566C42—41no—
1567C42—42no—
1568C42—41no—
1569C42—42no—
1570C42C2×#4118yes—
1571C42C2×#4114yes—
1572C42H(5,𝔽2)14yes—
1573C42H(5,𝔽2)14yes—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—24no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—24no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—24no—
1597C23—24no—
1598C23—22no—
1599C23—22no—
1600C23—24no—
1601C23—22no—
1602C23—22no—
1603C23—24no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—24no—
1608C23—22no—
1609C23C2611yescharacteristic
1610Q8—28no—
1611Q8—44no—
1612Q8—44no—
1613Q8—48no—
1614Q8—44no—
1615Q8—88no—
1616D4—44no—
1617D4—48no—
1618D4—48no—
1619D4—44no—
1620D4—48no—
1621D4—48no—
1622D4—44no—
1623D4—84no—
1624D4—88no—
1625D4—84no—
1626D4—88no—
1627D4—88no—
1628D4—88no—
1629D4—88no—
1630D4—88no—
1631D4—84no—
1632D4—84no—
1633D4—88no—
1634D4—88no—
1635D4—88no—
1636D4—88no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640D4—88no—
1641D4—164no—
1642D4—164no—
1643D4—164no—
1644D4—164no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—48no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—88no—
1727C2×C4—88no—
1728C2×C4—88no—
1729C2×C4—84no—
1730C2×C4—88no—
1731C2×C4—88no—
1732C2×C4—164no—
1733C2×C4—164no—
1734C2×C4C22×#4114yes—
1735C2×C4C22×#4112yes—
1736C2×C4C22×#4112yes—
1737C2×C4C22×#4114yes—
1738C2×C4C22×#4112yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)14yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—42no—
1753C22—44no—
1754C22—42no—
1755C22—44no—
1756C22—44no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—44no—
1761C22—42no—
1762C22—44no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—44no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—44no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—44no—
1777C22—44no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22C23×#4111yescharacteristic
1785C22C22×H(5,𝔽2)11yescharacteristic
1786C22C22×H(5,𝔽2)11yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C2×#58511yescharacteristic
1789C22C2×#58511yescharacteristic
1790C22H(7,𝔽2)11yescharacteristic
1791C4—22no—
1792C4—22no—
1793C4—24no—
1794C4—22no—
1795C4—24no—
1796C4—22no—
1797C4—22no—
1798C4—24no—
1799C4—22no—
1800C4—42no—
1801C4—42no—
1802C4—44no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—44no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4#350814yes—
1820C4#354614yes—
1821C2—82no—
1822C2—82no—
1823C2—84no—
1824C2—82no—
1825C2—84no—
1826C2C2×#354611yescharacteristic
1827C2C2×#350811yescharacteristic
1828C2#6280011yescharacteristic
1829C2#6291211yescharacteristic
1830C2#6296111yescharacteristic
1831C2#6300611yescharacteristic
1832C2#6301911yescharacteristic
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. #59419C2semidirect
2. #59411C2semidirect
3. #59410C2semidirect
4. #59145C2semidirect
5. #59097C2semidirect
6. #50677C2semidirect
7. #49992C2semidirect
8. #46050C2semidirect
9. #46010C2semidirect
10. #45043C2semidirect
11. #44891C2semidirect
12. #44260C2semidirect
13. #42889C2semidirect
14. #42578C2semidirect
15. #42065C2semidirect
16. #40146C2semidirect
17. #40122C2semidirect
18. #39853C2semidirect
19. #39745C2semidirect
20. #39532C2semidirect
21. #38956C2semidirect
22. #37772C2semidirect
23. #36597C2semidirect
24. #36595C2semidirect
25. #36592C2semidirect
26. #36502C2semidirect
27. #36419C2semidirect
28. #36125C2semidirect
29. #35293C2semidirect
30. #35199C2semidirect
31. #35198C2semidirect
32. #34925C2semidirect
33. #34918C2semidirect
34. #34477C2semidirect
35. C4×#556C2semidirect
982. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#594192
#594112
#594102
#591452
#590972
#506772
#499922
#460502
#460102
#450432
#448912
#442602
#428892
#425782
#420652
#401462
#401222
#398532
#397452
#395322
#389562
#377722
#365972
#365952
#365922
#365022
#364192
#361252
#352932
#351992
#351982
#349252
#349182
#344772
C4×#5562