Finite Group Databasebeta

← #7987584

Subgroups — #7987584

Order 512.

5205 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59683C212yesmaximal, complemented
2#59677C212yesmaximal, complemented
3#59640C211yesmaximal, characteristic, complemented
4#59249C211yesmaximal, characteristic, complemented
5#59244C211yesmaximal, characteristic, complemented
6#49830C214yesmaximal, complemented
7#48322C214yesmaximal, complemented
8#46214C214yesmaximal, complemented
9#45258C212yesmaximal, complemented
10#45111C212yesmaximal, complemented
11#45034C212yesmaximal, complemented
12#44920C212yesmaximal, complemented
13#42925C212yesmaximal, complemented
14#42923C212yesmaximal, complemented
15#42621C212yesmaximal, complemented
16#42571C212yesmaximal, complemented
17#40422C214yesmaximal, complemented
18#39562C212yesmaximal, complemented
19#39352C211yesmaximal, characteristic, complemented
20#39351C211yesmaximal, characteristic, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39185C212yesmaximal, complemented
23#38909C211yesmaximal, characteristic, complemented
24#36555C211yesmaximal, characteristic, complemented
25#36504C212yesmaximal, complemented
26#36479C212yesmaximal, complemented
27#36261C211yesmaximal, characteristic, complemented
28#36211C211yesmaximal, characteristic, complemented
29#35255C212yesmaximal, complemented
30#35169C212yesmaximal, complemented
31#34941C211yesmaximal, characteristic, complemented
32#34889C211yesmaximal, characteristic, complemented
33#34383C211yesmaximal, characteristic, complemented
34#34368C211yesmaximal, characteristic, complemented
35C4×#550C211yesmaximal, characteristic, complemented
36C2×#556C2212yes—
37C2×#554C2212yes—
38C2×#550C2211yescharacteristic
39C2×#542C2212yes—
40C2×#540C2212yes—
41C2×#537C2212yes—
42C2×#532C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×C4×#41C2212yes—
45#2864C2212yes—
46#2859C2211yescharacteristic
47#2857C2212yes—
48#2856C2211yescharacteristic
49#2856C2211yescharacteristic
50#2855C2214yes—
51#2854C2214yes—
52#2850C2214yes—
53#2837C2214yes—
54#2832C2214yes—
55#2803C2214yes—
56#2800C2214yes—
57#2798C2214yes—
58#2796C2214yes—
59#2796C2214yes—
60#2779C2214yes—
61#2767C2214yes—
62#2753C2214yes—
63#2742C2214yes—
64#2730C2214yes—
65#2728C2214yes—
66#2723C2214yes—
67#2723C2214yes—
68#2717C2214yes—
69#2715C2214yes—
70#2714C2214yes—
71#2714C2214yes—
72#2711C2214yes—
73#2706C2214yes—
74#2705C2214yes—
75#2702C2214yes—
76#2696C2214yes—
77#2696C2214yes—
78#2691C2214yes—
79#2691C2214yes—
80#2681C2214yes—
81#2676C2214yes—
82#2676C2214yes—
83#2676C2214yes—
84#2675C2214yes—
85#2672C2214yes—
86#2671C2214yes—
87#2671C2214yes—
88#2663C2214yes—
89#2662C2214yes—
90#2661C2214yes—
91#2654C2214yes—
92#2625C2214yes—
93#2624C2212yes—
94#2624C2212yes—
95#2624C2214yes—
96#2624C2212yes—
97#2615C2212yes—
98#2608C2214yes—
99#2607C2214yes—
100#2602C2214yes—
101#2592C2212yes—
102#2587C2214yes—
103#2584C2212yes—
104#2583C2214yes—
105#2582C2211yescharacteristic
106#2574C2212yes—
107#2574C2212yes—
108#2574C2214yes—
109#2567C2211yescharacteristic
110#2563C2211yescharacteristic
111#2559C2214yes—
112#2559C2214yes—
113#2559C2212yes—
114#2557C2212yes—
115#2557C2214yes—
116#2556C2214yes—
117#2555C2214yes—
118#2553C2214yes—
119#2552C2211yescharacteristic
120#2552C2211yescharacteristic
121#2551C2211yescharacteristic
122#2550C2211yescharacteristic
123#2550C2212yes—
124#2549C2214yes—
125#2548C2212yes—
126#2548C2211yescharacteristic
127#2544C2211yescharacteristic
128#2544C2212yes—
129#2544C2212yes—
130#2542C2212yes—
131#2541C2212yes—
132#2541C2211yescharacteristic
133#2540C2211yescharacteristic
134#2540C2214yes—
135#2538C2211yescharacteristic
136#2538C2211yescharacteristic
137#2537C2212yes—
138#2536C2214yes—
139#2535C2211yescharacteristic
140#2535C2212yes—
141#2522C2214yes—
142#2522C2214yes—
143#2521C2212yes—
144#2513C2212yes—
145#2513C2212yes—
146#2512C2212yes—
147#2512C2212yes—
148#2511C2212yes—
149#2509C2212yes—
150#2508C2212yes—
151#2501C2212yes—
152#2500C2212yes—
153#2497C2211yescharacteristic
154#2497C2211yescharacteristic
155#2497C2212yes—
156#2496C2212yes—
157#2496C2212yes—
158#2496C2212yes—
159#2492C2211yescharacteristic
160#2491C2212yes—
161#2491C2212yes—
162#2491C2212yes—
163#2490C2212yes—
164#2490C2211yescharacteristic
165#2490C2212yes—
166#2489C2212yes—
167#2485C2212yes—
168#2481C2214yes—
169#2479C2214yes—
170#2479C2214yes—
171#2478C2214yes—
172#2469C2214yes—
173#2467C2214yes—
174#2467C2214yes—
175#2467C2214yes—
176#2465C2214yes—
177#2464C2212yes—
178#2461C2214yes—
179#2459C2214yes—
180#2457C2214yes—
181#2454C2212yes—
182#2454C2212yes—
183#2454C2212yes—
184#2454C2212yes—
185#2453C2212yes—
186#2452C2212yes—
187#2452C2212yes—
188#2448C2212yes—
189#2445C2212yes—
190#2444C2214yes—
191#2444C2214yes—
192#2444C2214yes—
193#2443C2214yes—
194#2443C2214yes—
195#2440C2212yes—
196#2440C2212yes—
197#2439C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2211yescharacteristic
201#2428C2212yes—
202#2427C2211yescharacteristic
203#2427C2212yes—
204#2426C2214yes—
205#2423C2211yescharacteristic
206#2423C2211yescharacteristic
207#2423C2212yes—
208#2422C2212yes—
209#2422C2212yes—
210#2421C2212yes—
211#2421C2212yes—
212#2420C2212yes—
213#2420C2212yes—
214#2420C2212yes—
215#2416C2214yes—
216#2416C2212yes—
217#2416C2212yes—
218#2416C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2407C2212yes—
222#2407C2212yes—
223#2396C2212yes—
224#2396C2212yes—
225#2395C2212yes—
226#2388C2212yes—
227#2379C2214yes—
228#2376C2214yes—
229#2370C2212yes—
230#2370C2212yes—
231#2369C2212yes—
232#2367C2212yes—
233#2366C2212yes—
234#2366C2212yes—
235#2366C2211yescharacteristic
236#2365C2212yes—
237#2364C2214yes—
238#2363C2212yes—
239#2363C2214yes—
240#2363C2212yes—
241#2363C2212yes—
242#2363C2212yes—
243#2360C2212yes—
244#2357C2212yes—
245#2357C2212yes—
246#2355C2211yescharacteristic
247#2355C2212yes—
248#2354C2211yescharacteristic
249#2354C2211yescharacteristic
250#2354C2212yes—
251#2354C2212yes—
252#2354C2212yes—
253#2352C2212yes—
254Q8×C4⋊C4C2211yescharacteristic
255Q8×C4⋊C4C2211yescharacteristic
256#2349C2212yes—
257D4×C4⋊C4C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2211yescharacteristic
261#2345C2212yes—
262#2341C2212yes—
263#2334C2214yes—
264#2324C2212yes—
265#2324C2212yes—
266#2324C2212yes—
267#2324C2214yes—
268#2323C2212yes—
269#2317C2212yes—
270#2314C2212yes—
271#2311C2212yes—
272#2311C2212yes—
273#2311C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#127C2212yes—
276C4×#127C2211yescharacteristic
277C4×#125C2212yes—
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2214yes—
284C4×#121C2212yes—
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2214yes—
288#2297C2212yes—
289#2293C2212yes—
290C2×#389C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2212yes—
299C22×#41C2312yes—
300C22×#41C2312yes—
301#556—48no—
302#554—48no—
303#550—28no—
304#542—48no—
305#540—48no—
306#537—48no—
307#532—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316#529—28no—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C4×#41—48no—
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2314yes—
411C2×#117C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2314yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2314yes—
419C22×C42C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2312yes—
437#399C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2312yes—
474#395C2312yes—
475#395C2312yes—
476#395C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2312yes—
506#393C2312yes—
507#393C2314yes—
508#393C2312yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2314yes—
525#391C2312yes—
526#391C2314yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2314yes—
532#391C2312yes—
533#391C2314yes—
534#391C2312yes—
535#391C2311yescharacteristic
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2314yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2314yes—
579#389C2312yes—
580#389C2312yes—
581#389C2314yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
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#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
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#387C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2312yes—
688#386C2314yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#381C2314yes—
732#381C2314yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C2×#95C2314yes—
817C43C2312yes—
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C4⋊Q8—24no—
865C4⋊Q8—28no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868#127—24no—
869#127—28no—
870#127—24no—
871#127—44no—
872#126—28no—
873#126—48no—
874#126—48no—
875#126—48no—
876#126—84no—
877#125—24no—
878#125—28no—
879#125—44no—
880#125—44no—
881#124—24no—
882#124—28no—
883#124—24no—
884#124—48no—
885#124—44no—
886#124—48no—
887#124—84no—
888#123—28no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—84no—
893C22⋊Q8—24no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—24no—
897C22⋊Q8—24no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—48no—
904#121—24no—
905#121—24no—
906#121—28no—
907#121—24no—
908#121—24no—
909#121—28no—
910#121—216no—
911#121—44no—
912#121—48no—
913#121—44no—
914#121—48no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—48no—
923#121—44no—
924#121—44no—
925#121—84no—
926#121—82no—
927C4×Q8—24no—
928C4×Q8—28no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—44no—
932C4×Q8—48no—
933C4×Q8—42no—
934C4×Q8—44no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—84no—
955C4×D4—84no—
956C4×D4—82no—
957C4×D4#4118yes—
958#117—28no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—48no—
963#117—44no—
964#117—44no—
965#117—82no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—44no—
968C2×C4⋊C4—44no—
969C2×C4⋊C4—48no—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2411yescharacteristic
1051C2×C22⋊C4C2411yescharacteristic
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C42—24no—
1103C2×C42—24no—
1104C2×C42—44no—
1105C2×C42—48no—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2414yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2412yes—
1152#95C2414yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198C24C2511yescharacteristic
1199C24C2512yes—
1200C24C2514yes—
1201C24C2511yescharacteristic
1202C24C2512yes—
1203#41—432no—
1204#41—816no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—28no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—42no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8H(5,𝔽2)14yes—
1220C2×D4—24no—
1221C2×D4—28no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—28no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4C2×#4114yes—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—24no—
1282C22×C4—28no—
1283C22×C4—28no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—24no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—28no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—41no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—44no—
1312C22×C4—42no—
1313C22×C4—41no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4C2×#4118yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2512yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2514yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2514yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2511yescharacteristic
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—22no—
1362C4⋊C4—24no—
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—28no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—41no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—44no—
1407C4⋊C4—42no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4C2×#4114yes—
1419C4⋊C4H(5,𝔽2)14yes—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—22no—
1442C22⋊C4—28no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4C2×#4118yes—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—22no—
1494C42—24no—
1495C42—28no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—22no—
1500C42—22no—
1501C42—42no—
1502C42—44no—
1503C42—42no—
1504C42—44no—
1505C42—44no—
1506C42—44no—
1507C42—41no—
1508C42—41no—
1509C42—42no—
1510C42—42no—
1511C42—44no—
1512C42—44no—
1513C42—42no—
1514C42C2×#4114yes—
1515C422−1+414yes—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—21no—
1523C23—22no—
1524C23—24no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—21no—
1530C23—24no—
1531C23—22no—
1532C23—24no—
1533C23—21no—
1534C23—22no—
1535C23—21no—
1536C23—21no—
1537C23—24no—
1538C23—24no—
1539C23—21no—
1540C23—22no—
1541C23—24no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—22no—
1546C23—21no—
1547C23—22no—
1548C23—24no—
1549C23—21no—
1550C23C22×#4114yes—
1551C23C2611yescharacteristic
1552Q8—28no—
1553Q8—44no—
1554Q8—88no—
1555Q8—84no—
1556Q8—84no—
1557D4—28no—
1558D4—48no—
1559D4—416no—
1560D4—44no—
1561D4—44no—
1562D4—48no—
1563D4—48no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—88no—
1569D4—84no—
1570D4—84no—
1571D4—164no—
1572D4—164no—
1573D4—164no—
1574D4—164no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—216no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
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—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—24no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—44no—
1654C2×C4—416no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—48no—
1659C2×C4—44no—
1660C2×C4—82no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—88no—
1666C2×C4—164no—
1667C2×C4—164no—
1668C2×C4C22×#4112yes—
1669C2×C4C22×#4114yes—
1670C2×C4C22×#4112yes—
1671C2×C4C22×#4112yes—
1672C2×C4C2×H(5,𝔽2)14yes—
1673C2×C4C2×H(5,𝔽2)14yes—
1674C2×C4C2×H(5,𝔽2)12yes—
1675C2×C4C2×H(5,𝔽2)12yes—
1676C2×C4C2×2−1+412yes—
1677C2×C4C2×2−1+412yes—
1678C2×C4C2×2−1+412yes—
1679C2×C4#58512yes—
1680C2×C4#58512yes—
1681C22—24no—
1682C22—24no—
1683C22—24no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—41no—
1689C22—41no—
1690C22—42no—
1691C22—44no—
1692C22—44no—
1693C22—41no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—44no—
1700C22—44no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—44no—
1708C22—44no—
1709C22—41no—
1710C22—42no—
1711C22—41no—
1712C22—42no—
1713C22—41no—
1714C22—44no—
1715C22—41no—
1716C22C23×#4111yescharacteristic
1717C22C22×H(5,𝔽2)11yescharacteristic
1718C22C22×H(5,𝔽2)11yescharacteristic
1719C22C22×2−1+411yescharacteristic
1720C22C2×#58511yescharacteristic
1721C22C2×#58511yescharacteristic
1722C22H(7,𝔽2)11yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—24no—
1726C4—22no—
1727C4—24no—
1728C4—24no—
1729C4—22no—
1730C4—41no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—42no—
1736C4—44no—
1737C4—42no—
1738C4—41no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—44no—
1745C4—42no—
1746C4—42no—
1747C4—44no—
1748C4—42no—
1749C4—42no—
1750C4—41no—
1751C4#351114yes—
1752C4#351314yes—
1753C2—44no—
1754C2—81no—
1755C2—81no—
1756C2—82no—
1757C2—84no—
1758C2#6276111yescharacteristic
1759C2C2×#351311yescharacteristic
1760C2C2×#351111yescharacteristic
1761C2#6291711yescharacteristic
1762C2#6292311yescharacteristic
1763C2#6300811yescharacteristic
1764C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59683C2semidirect
2. #59677C2semidirect
3. #59640C2semidirect
4. #59249C2semidirect
5. #59244C2semidirect
6. #49830C2semidirect
7. #48322C2semidirect
8. #46214C2semidirect
9. #45258C2semidirect
10. #45111C2semidirect
11. #45034C2semidirect
12. #44920C2semidirect
13. #42925C2semidirect
14. #42923C2semidirect
15. #42621C2semidirect
16. #42571C2semidirect
17. #40422C2semidirect
18. #39562C2semidirect
19. #39352C2semidirect
20. #39351C2semidirect
21. #39341C2semidirect
22. #39185C2semidirect
23. #38909C2semidirect
24. #36555C2semidirect
25. #36504C2semidirect
26. #36479C2semidirect
27. #36261C2semidirect
28. #36211C2semidirect
29. #35255C2semidirect
30. #35169C2semidirect
31. #34941C2semidirect
32. #34889C2semidirect
33. #34383C2semidirect
34. #34368C2semidirect
35. C4×#550C2semidirect

Maximal subgroups

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

subgroupindex
#596832
#596772
#596402
#592492
#592442
#498302
#483222
#462142
#452582
#451112
#450342
#449202
#429252
#429232
#426212
#425712
#404222
#395622
#393522
#393512
#393412
#391852
#389092
#365552
#365042
#364792
#362612
#362112
#352552
#351692
#349412
#348892
#343832
#343682
C4×#5502