Finite Group Databasebeta

← #7710235

Subgroups — #7710235

Order 512.

5246 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59865C212yesmaximal, complemented
2#59824C212yesmaximal, complemented
3#59678C211yesmaximal, characteristic, complemented
4#59652C211yesmaximal, characteristic, complemented
5#59442C211yesmaximal, characteristic, complemented
6#59410C211yesmaximal, characteristic, complemented
7#46012C214yesmaximal, complemented
8#46011C212yesmaximal, complemented
9#46010C212yesmaximal, complemented
10#39998C212yesmaximal, complemented
11#39996C212yesmaximal, complemented
12#39841C214yesmaximal, complemented
13#39786C212yesmaximal, complemented
14#39785C212yesmaximal, complemented
15#39471C211yesmaximal, characteristic, complemented
16#39470C211yesmaximal, characteristic, complemented
17#39469C211yesmaximal, characteristic, complemented
18#39468C211yesmaximal, characteristic, complemented
19#39463C212yesmaximal, complemented
20#39462C212yesmaximal, complemented
21#38497C214yesmaximal, complemented
22#37550C212yesmaximal, complemented
23#36771C214yesmaximal, complemented
24#36644C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36534C211yesmaximal, characteristic, complemented
27#36468C211yesmaximal, characteristic, complemented
28#36415C211yesmaximal, characteristic, complemented
29#36399C212yesmaximal, complemented
30#36373C212yesmaximal, complemented
31#36270C211yesmaximal, characteristic, complemented
32#35109C212yesmaximal, complemented
33#35038C212yesmaximal, complemented
34#34369C212yesmaximal, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#553C2212yes—
40C2×#552C2212yes—
41C2×#547C2211yescharacteristic
42C2×#532C2212yes—
43C2×#532C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47#2868C2211yescharacteristic
48#2867C2211yescharacteristic
49#2864C2212yes—
50#2863C2212yes—
51#2863C2212yes—
52#2862C2211yescharacteristic
53#2861C2212yes—
54#2860C2212yes—
55#2859C2211yescharacteristic
56#2858C2211yescharacteristic
57#2858C2211yescharacteristic
58#2858C2212yes—
59#2858C2212yes—
60#2857C2211yescharacteristic
61#2857C2211yescharacteristic
62#2856C2211yescharacteristic
63#2856C2211yescharacteristic
64#2856C2211yescharacteristic
65#2856C2212yes—
66#2856C2212yes—
67#2856C2211yescharacteristic
68#2855C2212yes—
69#2855C2212yes—
70#2854C2212yes—
71#2851C2212yes—
72#2850C2212yes—
73#2821C2214yes—
74#2818C2214yes—
75#2797C2214yes—
76#2796C2214yes—
77#2794C2214yes—
78#2793C2214yes—
79#2791C2214yes—
80#2786C2214yes—
81#2752C2214yes—
82#2751C2214yes—
83#2740C2214yes—
84#2730C2214yes—
85#2721C2214yes—
86#2716C2214yes—
87#2715C2214yes—
88#2714C2214yes—
89#2713C2214yes—
90#2712C2214yes—
91#2711C2214yes—
92#2710C2214yes—
93#2709C2214yes—
94#2709C2214yes—
95#2709C2214yes—
96#2708C2214yes—
97#2705C2214yes—
98#2703C2214yes—
99#2700C2214yes—
100#2691C2214yes—
101#2688C2214yes—
102#2681C2214yes—
103#2676C2214yes—
104#2673C2214yes—
105#2673C2214yes—
106#2673C2214yes—
107#2661C2214yes—
108#2661C2214yes—
109#2651C2214yes—
110#2648C2214yes—
111#2635C2214yes—
112#2635C2214yes—
113#2616C2212yes—
114#2616C2212yes—
115#2615C2212yes—
116#2615C2212yes—
117#2610C2214yes—
118#2610C2214yes—
119#2602C2214yes—
120#2601C2214yes—
121#2597C2214yes—
122#2595C2214yes—
123#2595C2214yes—
124#2593C2214yes—
125#2570C2212yes—
126#2565C2212yes—
127#2563C2211yescharacteristic
128#2563C2211yescharacteristic
129#2562C2212yes—
130#2562C2212yes—
131#2562C2212yes—
132#2562C2212yes—
133#2560C2214yes—
134#2560C2214yes—
135#2559C2214yes—
136#2559C2214yes—
137#2558C2214yes—
138#2557C2214yes—
139#2557C2214yes—
140#2557C2214yes—
141#2554C2214yes—
142#2554C2214yes—
143#2554C2214yes—
144#2550C2212yes—
145#2547C2211yescharacteristic
146#2547C2211yescharacteristic
147#2544C2212yes—
148#2544C2212yes—
149#2544C2212yes—
150#2540C2212yes—
151#2540C2212yes—
152#2540C2212yes—
153#2538C2211yescharacteristic
154#2538C2211yescharacteristic
155#2537C2211yescharacteristic
156#2537C2211yescharacteristic
157#2536C2212yes—
158#2536C2212yes—
159#2536C2212yes—
160#2535C2212yes—
161#2535C2212yes—
162#2535C2212yes—
163#2535C2212yes—
164#2531C2214yes—
165#2526C2214yes—
166#2521C2214yes—
167#2516C2214yes—
168#2516C2214yes—
169#2513C2212yes—
170#2511C2212yes—
171#2506C2212yes—
172#2499C2212yes—
173#2496C2212yes—
174#2492C2212yes—
175#2490C2212yes—
176#2490C2212yes—
177#2490C2214yes—
178#2487C2212yes—
179#2487C2212yes—
180#2486C2212yes—
181#2486C2212yes—
182#2485C2212yes—
183#2485C2212yes—
184#2485C2212yes—
185#2485C2212yes—
186#2476C2214yes—
187#2476C2214yes—
188#2474C2214yes—
189#2471C2214yes—
190#2471C2214yes—
191#2467C2214yes—
192#2464C2214yes—
193#2459C2214yes—
194#2458C2214yes—
195#2456C2214yes—
196#2451C2212yes—
197#2448C2212yes—
198#2445C2212yes—
199#2445C2212yes—
200#2445C2212yes—
201#2441C2212yes—
202#2439C2212yes—
203#2431C2212yes—
204#2431C2212yes—
205#2431C2212yes—
206#2428C2212yes—
207#2428C2212yes—
208#2428C2212yes—
209#2427C2212yes—
210#2426C2214yes—
211#2426C2212yes—
212#2426C2212yes—
213#2423C2212yes—
214#2420C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2414C2212yes—
222#2414C2212yes—
223#2414C2212yes—
224#2407C2212yes—
225#2381C2214yes—
226#2380C2214yes—
227#2374C2214yes—
228#2372C2214yes—
229#2372C2214yes—
230#2367C2212yes—
231#2363C2212yes—
232#2363C2214yes—
233#2357C2212yes—
234#2354C2211yescharacteristic
235#2354C2211yescharacteristic
236#2352C2212yes—
237#2352C2212yes—
238#2352C2212yes—
239#2352C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yes—
246D4×C4⋊C4C2211yescharacteristic
247D4×C4⋊C4C2211yescharacteristic
248#2341C2212yes—
249#2335C2214yes—
250#2333C2214yes—
251#2333C2214yes—
252#2333C2214yes—
253#2333C2214yes—
254#2333C2214yes—
255#2311C2212yes—
256#2311C2212yes—
257#2311C2212yes—
258#2311C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2211yescharacteristic
261C4×#127C2211yescharacteristic
262C4×#127C2211yescharacteristic
263C4×#127C2212yes—
264C4×#127C2211yescharacteristic
265C4×#127C2211yescharacteristic
266C4×#127C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2211yescharacteristic
270C4×#126C2212yes—
271C4×#126C2212yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×#124C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×#123C2212yes—
280C4×#123C2212yes—
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284#2298C2212yes—
285#2297C2212yes—
286#2295C2212yes—
287#2295C2212yes—
288#2295C2211yescharacteristic
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2283C2212yes—
293#2283C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302#556—44no—
303#555—44no—
304#554—44no—
305#553—48no—
306#552—48no—
307#547—44no—
308#532—216no—
309#532—44no—
310#532—48no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328#529—28no—
329C2×#126C2312yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#125C2311yescharacteristic
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2312yes—
348C2×#123C2312yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2314yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2312yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2314yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2311yescharacteristic
533#391C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2311yescharacteristic
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2314yes—
609#388C2314yes—
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#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2314yes—
675#386C2314yes—
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#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#383C2312yes—
723#383C2314yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2311yescharacteristic
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2312yes—
731#381C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809#376C2314yes—
810#376C2312yes—
811#376C2312yes—
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2312yes—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2414yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C4⋊Q8—28no—
880C4⋊Q8—24no—
881C4⋊Q8—24no—
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884C4⋊Q8—44no—
885#127—28no—
886#127—42no—
887#127—42no—
888#127—42no—
889#127—42no—
890#127—44no—
891#127—44no—
892#127—42no—
893#127—42no—
894#127—44no—
895#126—28no—
896#126—48no—
897#126—48no—
898#126—48no—
899#125—24no—
900#125—28no—
901#125—44no—
902#125—48no—
903#124—24no—
904#124—28no—
905#124—28no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—48no—
914#123—28no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920C22⋊Q8—24no—
921C22⋊Q8—48no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929#121—24no—
930#121—28no—
931#121—28no—
932#121—28no—
933#121—28no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954C4×Q8—24no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—44no—
958C4×Q8—44no—
959C4×Q8—44no—
960C4×D4—28no—
961C4×D4—24no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—28no—
966C4×D4—24no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—24no—
973C4×D4—24no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984#117—28no—
985#117—44no—
986#117—48no—
987#117—44no—
988#117—44no—
989#117—44no—
990#117—44no—
991#117—44no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C42—24no—
1118C2×C42—24no—
1119C2×C42—44no—
1120C2×C42—42no—
1121C2×C42—42no—
1122C2×C42—42no—
1123C2×C42—42no—
1124C2×C42#4118yescomplemented
1125C2×C42C2412yes—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218C24C2512yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2512yes—
1223C24C2511yescharacteristic
1224#41—816no—
1225#41—816no—
1226#41—816no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—24no—
1233C2×Q8—24no—
1234C2×Q8—24no—
1235C2×Q8—24no—
1236C2×Q8—42no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—42no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—42no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4C2×#4114yes—
1372C22×C4C2×#4114yes—
1373C22×C4C2×#4114yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2514yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2514yes—
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
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—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
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—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C42—24no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—24no—
1532C42—24no—
1533C42—22no—
1534C42—22no—
1535C42—24no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—24no—
1543C42—41no—
1544C42—41no—
1545C42—41no—
1546C42—41no—
1547C42—41no—
1548C42—42no—
1549C42—42no—
1550C42—41no—
1551C42—41no—
1552C42—41no—
1553C42—42no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—44no—
1558C42—42no—
1559C42—44no—
1560C42—44no—
1561C42C2×#4114yes—
1562C42C2×#4114yes—
1563C42C2×#4114yes—
1564C42C2×#4114yes—
1565C42H(5,𝔽2)14yes—
1566C42H(5,𝔽2)14yes—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23C22×#4112yes—
1609C23C2611yescharacteristic
1610Q8—44no—
1611Q8—48no—
1612Q8—84no—
1613Q8—84no—
1614Q8—84no—
1615D4—48no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—44no—
1620D4—44no—
1621D4—84no—
1622D4—84no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—84no—
1634D4—84no—
1635D4—84no—
1636D4—84no—
1637D4—88no—
1638D4—88no—
1639D4—164no—
1640D4—164no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—28no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—24no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—48no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—84no—
1726C2×C4—88no—
1727C2×C4—88no—
1728C2×C4—164no—
1729C2×C4—164no—
1730C2×C4C22×#4112yes—
1731C2×C4C22×#4112yes—
1732C2×C4C22×#4112yes—
1733C2×C4C22×#4112yes—
1734C2×C4C22×#4112yes—
1735C2×C4C22×#4112yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4#58512yes—
1743C2×C4#58512yes—
1744C2×C4#58512yes—
1745C2×C4#58512yes—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22C23×#4111yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C22×H(5,𝔽2)11yescharacteristic
1791C22C2×#58511yescharacteristic
1792C22C2×#58511yescharacteristic
1793C22C2×#58511yescharacteristic
1794C22C2×#58511yescharacteristic
1795C4—22no—
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—22no—
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—22no—
1805C4—41no—
1806C4—42no—
1807C4—44no—
1808C4—41no—
1809C4—42no—
1810C4—44no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—44no—
1821C4—44no—
1822C4#350814yes—
1823C4#355114yes—
1824C2—42no—
1825C2—82no—
1826C2—82no—
1827C2—82no—
1828C2—82no—
1829C2—82no—
1830C2C2×#355111yescharacteristic
1831C2#6275911yescharacteristic
1832C2C2×#350811yescharacteristic
1833C2#6281511yescharacteristic
1834C2#6281511yescharacteristic
1835C2#6283011yescharacteristic
1836C2#6283011yescharacteristic
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. #59865C2semidirect
2. #59824C2semidirect
3. #59678C2semidirect
4. #59652C2semidirect
5. #59442C2semidirect
6. #59410C2semidirect
7. #46012C2semidirect
8. #46011C2semidirect
9. #46010C2semidirect
10. #39998C2semidirect
11. #39996C2semidirect
12. #39841C2semidirect
13. #39786C2semidirect
14. #39785C2semidirect
15. #39471C2semidirect
16. #39470C2semidirect
17. #39469C2semidirect
18. #39468C2semidirect
19. #39463C2semidirect
20. #39462C2semidirect
21. #38497C2semidirect
22. #37550C2semidirect
23. #36771C2semidirect
24. #36644C2semidirect
25. #36635C2semidirect
26. #36534C2semidirect
27. #36468C2semidirect
28. #36415C2semidirect
29. #36399C2semidirect
30. #36373C2semidirect
31. #36270C2semidirect
32. #35109C2semidirect
33. #35038C2semidirect
34. #34369C2semidirect
35. C4×#529C2semidirect
1124. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#598652
#598242
#596782
#596522
#594422
#594102
#460122
#460112
#460102
#399982
#399962
#398412
#397862
#397852
#394712
#394702
#394692
#394682
#394632
#394622
#384972
#375502
#367712
#366442
#366352
#365342
#364682
#364152
#363992
#363732
#362702
#351092
#350382
#343692
C4×#5292