Finite Group Databasebeta

← #7986126

Subgroups — #7986126

Order 512.

5224 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59832C211yesmaximal, characteristic, complemented
2#59765C212yesmaximal, complemented
3#59115C212yesmaximal, complemented
4#59051C211yesmaximal, characteristic, complemented
5#59034C211yesmaximal, characteristic, complemented
6#50278C214yesmaximal, complemented
7#48930C214yesmaximal, complemented
8#45826C214yesmaximal, complemented
9#45048C212yesmaximal, complemented
10#44945C212yesmaximal, complemented
11#44937C212yesmaximal, complemented
12#44930C212yesmaximal, complemented
13#42839C212yesmaximal, complemented
14#42838C212yesmaximal, complemented
15#42758C212yesmaximal, complemented
16#42751C212yesmaximal, complemented
17#39608C211yesmaximal, characteristic, complemented
18#39201C211yesmaximal, characteristic, complemented
19#39201C211yesmaximal, characteristic, complemented
20#39158C211yesmaximal, characteristic, complemented
21#38301C214yesmaximal, complemented
22#38249C212yesmaximal, complemented
23#38050C212yesmaximal, complemented
24#36494C212yesmaximal, complemented
25#36457C212yesmaximal, complemented
26#36273C211yesmaximal, characteristic, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36126C211yesmaximal, characteristic, complemented
29#35194C212yesmaximal, complemented
30#35191C212yesmaximal, complemented
31#34800C211yesmaximal, characteristic, complemented
32#34763C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34393C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×Q82C2212yes—
37C2×#555C2212yes—
38C2×#550C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2212yes—
44C2×#529C2212yes—
45#2865C2214yes—
46#2861C2214yes—
47#2858C2214yes—
48#2858C2211yescharacteristic
49#2858C2212yes—
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yes—
53#2830C2214yes—
54#2829C2214yes—
55#2803C2214yes—
56#2797C2214yes—
57#2796C2214yes—
58#2780C2214yes—
59#2768C2214yes—
60#2763C2214yes—
61#2759C2214yes—
62#2748C2214yes—
63#2746C2214yes—
64#2734C2214yes—
65#2730C2214yes—
66#2729C2214yes—
67#2729C2214yes—
68#2717C2214yes—
69#2712C2214yes—
70#2712C2214yes—
71#2710C2214yes—
72#2710C2214yes—
73#2710C2214yes—
74#2710C2214yes—
75#2709C2214yes—
76#2708C2214yes—
77#2701C2214yes—
78#2700C2214yes—
79#2696C2214yes—
80#2692C2214yes—
81#2686C2214yes—
82#2682C2214yes—
83#2674C2214yes—
84#2674C2214yes—
85#2673C2214yes—
86#2672C2214yes—
87#2671C2214yes—
88#2661C2214yes—
89#2661C2214yes—
90#2653C2214yes—
91#2651C2214yes—
92#2650C2214yes—
93#2649C2214yes—
94#2644C2212yes—
95#2628C2212yes—
96#2624C2212yes—
97#2624C2212yes—
98#2610C2214yes—
99#2603C2214yes—
100#2603C2214yes—
101#2597C2214yes—
102#2589C2214yes—
103#2582C2212yes—
104#2580C2212yes—
105#2580C2212yes—
106#2576C2214yes—
107#2563C2211yescharacteristic
108#2563C2211yescharacteristic
109#2563C2214yes—
110#2563C2212yes—
111#2557C2214yes—
112#2557C2214yes—
113#2555C2214yes—
114#2551C2212yes—
115#2551C2211yescharacteristic
116#2551C2211yescharacteristic
117#2548C2212yes—
118#2548C2212yes—
119#2548C2214yes—
120#2547C2212yes—
121#2546C2212yes—
122#2546C2212yes—
123#2541C2211yescharacteristic
124#2541C2211yescharacteristic
125#2541C2212yes—
126#2540C2212yes—
127#2536C2212yes—
128#2532C2212yes—
129#2531C2214yes—
130#2527C2214yes—
131#2526C2212yes—
132#2521C2212yes—
133#2521C2214yes—
134#2519C2212yes—
135#2518C2212yes—
136#2513C2212yes—
137#2513C2212yes—
138#2513C2211yescharacteristic
139#2512C2211yescharacteristic
140#2508C2212yes—
141#2508C2211yescharacteristic
142#2506C2211yescharacteristic
143#2505C2214yes—
144#2501C2211yescharacteristic
145#2500C2211yescharacteristic
146#2497C2211yescharacteristic
147#2497C2212yes—
148#2496C2211yescharacteristic
149#2494C2212yes—
150#2494C2212yes—
151#2491C2214yes—
152#2491C2214yes—
153#2491C2212yes—
154#2491C2212yes—
155#2491C2212yes—
156#2491C2212yes—
157#2491C2214yes—
158#2491C2212yes—
159#2491C2211yescharacteristic
160#2491C2212yes—
161#2491C2214yes—
162#2491C2211yescharacteristic
163#2490C2212yes—
164#2490C2212yes—
165#2488C2212yes—
166#2487C2212yes—
167#2486C2211yescharacteristic
168#2485C2211yescharacteristic
169#2485C2212yes—
170#2479C2214yes—
171#2475C2214yes—
172#2474C2214yes—
173#2461C2214yes—
174#2461C2214yes—
175#2459C2212yes—
176#2458C2214yes—
177#2458C2214yes—
178#2458C2214yes—
179#2457C2214yes—
180#2456C2214yes—
181#2454C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2451C2212yes—
185#2451C2214yes—
186#2451C2212yes—
187#2450C2214yes—
188#2448C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2442C2212yes—
193#2440C2212yes—
194#2440C2211yescharacteristic
195#2439C2211yescharacteristic
196#2439C2212yes—
197#2432C2214yes—
198#2432C2214yes—
199#2431C2212yes—
200#2431C2214yes—
201#2430C2214yes—
202#2430C2214yes—
203#2428C2212yes—
204#2428C2212yes—
205#2427C2212yes—
206#2426C2212yes—
207#2426C2212yes—
208#2426C2212yes—
209#2425C2212yes—
210#2422C2212yes—
211#2422C2212yes—
212#2421C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2211yescharacteristic
216#2414C2212yes—
217#2414C2211yescharacteristic
218#2414C2212yes—
219#2414C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2398C2212yes—
224#2396C2212yes—
225#2395C2212yes—
226#2392C2212yes—
227#2377C2214yes—
228#2376C2214yes—
229#2370C2212yes—
230#2370C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2368C2214yes—
234#2367C2212yes—
235#2366C2211yescharacteristic
236#2366C2211yescharacteristic
237#2365C2211yescharacteristic
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2212yes—
241#2363C2212yes—
242#2363C2212yes—
243#2363C2212yes—
244#2361C2212yes—
245#2361C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2359C2214yes—
250#2357C2212yes—
251#2354C2211yescharacteristic
252#2352C2212yes—
253#2349C2212yes—
254D4×C4⋊C4C2211yescharacteristic
255#2345C2212yes—
256#2341C2212yes—
257#2341C2212yes—
258#2341C2212yes—
259#2341C2212yes—
260#2339C2212yes—
261#2335C2214yes—
262#2331C2212yes—
263#2326C2212yes—
264#2326C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yes—
269#2324C2212yes—
270#2324C2212yes—
271#2323C2212yes—
272#2318C2214yes—
273#2316C2212yes—
274#2311C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#124C2212yes—
279C4×#124C2214yes—
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285#2298C2212yes—
286#2296C2212yes—
287#2295C2214yes—
288#2295C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302Q82—48no—
303#555—48no—
304#550—48no—
305#547—28no—
306#547—48no—
307#533—28no—
308#532—28no—
309#532—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2314yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2314yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2314yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325#529—48no—
326C2×#126C2312yes—
327C2×#126C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×#117C2312yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2311yescharacteristic
415C22×C42C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418#401C2314yes—
419#400C2314yes—
420#400C2312yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2312yes—
425#400C2314yes—
426#399C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2312yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2312yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2312yes—
472#395C2314yes—
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#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2312yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#390C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2311yescharacteristic
541#390C2312yes—
542#390C2314yes—
543#390C2314yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2314yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2311yescharacteristic
571#390C2314yes—
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2311yescharacteristic
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#383C2312yes—
723#382C2314yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#381C2314yes—
731#381C2312yes—
732#381C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2314yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2311yescharacteristic
817C43C2314yes—
818C43C2312yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—48no—
822C2×#41—48no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—84no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2411yescharacteristic
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C4⋊Q8—28no—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—24no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873C4⋊Q8—48no—
874C4⋊Q8—48no—
875C4⋊Q8—48no—
876C4⋊Q8#4118yescomplemented
877#127—24no—
878#127—44no—
879#127—44no—
880#127—48no—
881#126—44no—
882#126—44no—
883#125—28no—
884#125—44no—
885#124—28no—
886#124—44no—
887#124—44no—
888#124—48no—
889#124—48no—
890#124—48no—
891#124—44no—
892#124—48no—
893#124—84no—
894#124—84no—
895#124—84no—
896#124—82no—
897#123—216no—
898#123—44no—
899#123—48no—
900#123—48no—
901#123—44no—
902#123—44no—
903#123—48no—
904#123—84no—
905C22⋊Q8—28no—
906C22⋊Q8—28no—
907C22⋊Q8—28no—
908C22⋊Q8—44no—
909C22⋊Q8—48no—
910C22⋊Q8—84no—
911C22⋊Q8—82no—
912#121—24no—
913#121—28no—
914#121—28no—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—24no—
919#121—24no—
920#121—28no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—44no—
925#121—42no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—48no—
930#121—82no—
931C4×Q8—28no—
932C4×Q8—28no—
933C4×Q8—28no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—48no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×D4—24no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—42no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958#117—24no—
959#117—28no—
960#117—24no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—48no—
965#117—44no—
966C2×C4⋊C4—28no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—42no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2411yescharacteristic
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C42—28no—
1101C2×C42—24no—
1102C2×C42—24no—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2414yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198C24C2512yes—
1199C24C2514yes—
1200C24C2512yes—
1201C24C2511yescharacteristic
1202C24C2511yescharacteristic
1203#41—816no—
1204#41—816no—
1205#41—832no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—28no—
1209C2×Q8—24no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—44no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8C2×#4118yes—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—28no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—42no—
1300C22×C4—44no—
1301C22×C4—42no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—44no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4H(5,𝔽2)14yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2511yescharacteristic
1330C22×C4C2512yes—
1331C22×C4C2514yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C4⋊C4—22no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—28no—
1367C4⋊C4—24no—
1368C4⋊C4—22no—
1369C4⋊C4—28no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—24no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4C2×#4118yes—
1410C4⋊C4C2×#4118yes—
1411C4⋊C4H(5,𝔽2)14yes—
1412C4⋊C42−1+414yes—
1413C22⋊C4—24no—
1414C22⋊C4—22no—
1415C22⋊C4—24no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—22no—
1432C22⋊C4—22no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—28no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—28no—
1496C42—24no—
1497C42—22no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—24no—
1502C42—22no—
1503C42—44no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—44no—
1508C42—42no—
1509C42—44no—
1510C42—41no—
1511C42—42no—
1512C42C2×#4114yes—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—22no—
1520C23—24no—
1521C23—22no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—24no—
1532C23—22no—
1533C23—22no—
1534C23—21no—
1535C23—22no—
1536C23—22no—
1537C23—21no—
1538C23—24no—
1539C23—22no—
1540C23—24no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—22no—
1545C23—22no—
1546C23—24no—
1547C23C2×H(5,𝔽2)12yes—
1548C23C2611yescharacteristic
1549Q8—216no—
1550Q8—48no—
1551Q8—84no—
1552Q8—84no—
1553Q8—88no—
1554Q8—164no—
1555D4—44no—
1556D4—48no—
1557D4—48no—
1558D4—44no—
1559D4—44no—
1560D4—48no—
1561D4—84no—
1562D4—88no—
1563D4—84no—
1564D4—84no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—88no—
1571D4—164no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—24no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—28no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—48no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—48no—
1657C2×C4—82no—
1658C2×C4—82no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—88no—
1664C2×C4—88no—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4118yes—
1667C2×C4C22×#4112yes—
1668C2×C4C22×#4112yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)14yes—
1671C2×C4C2×H(5,𝔽2)12yes—
1672C2×C4C2×H(5,𝔽2)12yes—
1673C2×C4C2×2−1+414yes—
1674C2×C4C2×2−1+412yes—
1675C2×C4#58512yes—
1676C2×C4#58512yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—44no—
1686C22—42no—
1687C22—42no—
1688C22—44no—
1689C22—41no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—41no—
1694C22—44no—
1695C22—42no—
1696C22—41no—
1697C22—42no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—41no—
1702C22—42no—
1703C22—44no—
1704C22—42no—
1705C22—44no—
1706C22—41no—
1707C22—42no—
1708C22—42no—
1709C22—44no—
1710C22—41no—
1711C22—42no—
1712C22C23×#4111yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×2−1+411yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)11yescharacteristic
1719C4—22no—
1720C4—24no—
1721C4—22no—
1722C4—28no—
1723C4—22no—
1724C4—24no—
1725C4—41no—
1726C4—41no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—41no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—41no—
1737C4—41no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—44no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—42no—
1746C4—41no—
1747C4#351414yes—
1748C4#352214yes—
1749C2—42no—
1750C2—81no—
1751C2—84no—
1752C2—82no—
1753C2—82no—
1754C2#6275911yescharacteristic
1755C2C2×#351411yescharacteristic
1756C2C2×#352211yescharacteristic
1757C2#6291211yescharacteristic
1758C2#6295211yescharacteristic
1759C2#6300611yescharacteristic
1760C2#6301511yescharacteristic
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. #59832C2semidirect
2. #59765C2semidirect
3. #59115C2semidirect
4. #59051C2semidirect
5. #59034C2semidirect
6. #50278C2semidirect
7. #48930C2semidirect
8. #45826C2semidirect
9. #45048C2semidirect
10. #44945C2semidirect
11. #44937C2semidirect
12. #44930C2semidirect
13. #42839C2semidirect
14. #42838C2semidirect
15. #42758C2semidirect
16. #42751C2semidirect
17. #39608C2semidirect
18. #39201C2semidirect
19. #39201C2semidirect
20. #39158C2semidirect
21. #38301C2semidirect
22. #38249C2semidirect
23. #38050C2semidirect
24. #36494C2semidirect
25. #36457C2semidirect
26. #36273C2semidirect
27. #36150C2semidirect
28. #36126C2semidirect
29. #35194C2semidirect
30. #35191C2semidirect
31. #34800C2semidirect
32. #34763C2semidirect
33. #34480C2semidirect
34. #34393C2semidirect
35. #34145C2semidirect
876. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598322
#597652
#591152
#590512
#590342
#502782
#489302
#458262
#450482
#449452
#449372
#449302
#428392
#428382
#427582
#427512
#396082
#392012
#391582
#383012
#382492
#380502
#364942
#364572
#362732
#361502
#361262
#351942
#351912
#348002
#347632
#344802
#343932
#341452