Finite Group Databasebeta

← #8157200

Subgroups — #8157200

Order 512.

5914 conjugacy classes of subgroups.

The subgroup lattice has 1723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59897C212yesmaximal, complemented
2#59124C212yesmaximal, complemented
3#57184C214yesmaximal, complemented
4#54884C214yesmaximal, complemented
5#53995C214yesmaximal, complemented
6#53507C214yesmaximal, complemented
7#53106C212yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#52394C214yesmaximal, complemented
10#45034C212yesmaximal, complemented
11#44880C212yesmaximal, complemented
12#42571C212yesmaximal, complemented
13#42540C212yesmaximal, complemented
14#42425C212yesmaximal, complemented
15#42425C212yesmaximal, complemented
16#40488C214yesmaximal, complemented
17#39495C211yesmaximal, characteristic, complemented
18#39383C211yesmaximal, characteristic, complemented
19#37860C212yesmaximal, complemented
20#37761C212yesmaximal, complemented
21#37662C212yesmaximal, complemented
22#37662C212yesmaximal, complemented
23#37439C212yesmaximal, complemented
24#36706C212yesmaximal, complemented
25#36154C211yesmaximal, characteristic, complemented
26#36101C211yesmaximal, characteristic, complemented
27#35005C211yesmaximal, characteristic, complemented
28C2×#2428C211yesmaximal, characteristic, complemented
29#34578C211yesmaximal, characteristic, complemented
30C2×#554C2211yescharacteristic, complemented
31C2×#550C2211yescharacteristic, complemented
32C2×#550C2212yescomplemented
33C2×#546C2214yes—
34C2×#540C2212yescomplemented
35C2×#540C2212yescomplemented
36C2×#538C2212yes—
37C2×#538C2212yes—
38C22×#127C2211yescharacteristic
39C2×#525C2212yes—
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2212yes—
43C22×C4×D4C2211yescharacteristic
44#2857C2211yescharacteristic
45#2856C2211yescharacteristic
46#2848C2212yes—
47#2847C2212yes—
48#2847C2212yes—
49#2837C2214yescomplemented
50#2829C2214yescomplemented
51#2827C2214yescomplemented
52#2826C2214yescomplemented
53#2824C2214yescomplemented
54#2819C2214yescomplemented
55#2816C2214yescomplemented
56#2813C2214yescomplemented
57#2813C2214yescomplemented
58#2813C2214yescomplemented
59#2813C2214yescomplemented
60#2813C2214yescomplemented
61#2807C2214yescomplemented
62#2804C2212yescomplemented
63#2788C2214yescomplemented
64#2780C2214yescomplemented
65#2779C2214yescomplemented
66#2743C2214yescomplemented
67#2733C2212yescomplemented
68#2732C2212yescomplemented
69#2723C2214yescomplemented
70#2717C2214yescomplemented
71#2714C2214yescomplemented
72#2708C2214yescomplemented
73#2708C2214yescomplemented
74#2706C2214yescomplemented
75#2705C2214yescomplemented
76#2705C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2701C2214yescomplemented
80#2699C2214yescomplemented
81#2699C2214yescomplemented
82#2696C2214yescomplemented
83#2691C2214yescomplemented
84#2691C2214yescomplemented
85#2688C2214yescomplemented
86#2688C2214yescomplemented
87#2686C2214yescomplemented
88#2682C2212yescomplemented
89#2682C2214yescomplemented
90#2682C2214yescomplemented
91#2681C2214yescomplemented
92#2676C2214yescomplemented
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2676C2214yescomplemented
96#2675C2214yescomplemented
97#2675C2214yescomplemented
98#2675C2214yescomplemented
99#2675C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2671C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2667C2212yescomplemented
112#2667C2212yescomplemented
113#2665C2212yescomplemented
114#2665C2212yescomplemented
115#2662C2214yescomplemented
116#2659C2211yescharacteristic
117#2659C2211yescharacteristic
118#2656C2214yescomplemented
119#2656C2214yescomplemented
120#2646C2212yes—
121#2639C2212yes—
122#2639C2214yescomplemented
123#2636C2214yescomplemented
124#2626C2212yes—
125#2626C2211yescharacteristic
126#2626C2211yescharacteristic
127#2626C2212yes—
128#2624C2212yescomplemented
129#2624C2212yescomplemented
130#2624C2214yescomplemented
131#2619C2212yescomplemented
132#2619C2212yescomplemented
133#2617C2212yes—
134#2617C2212yes—
135#2615C2214yescomplemented
136#2615C2214yescomplemented
137#2584C2212yescomplemented
138#2580C2212yescomplemented
139#2580C2212yescomplemented
140#2579C2214yes—
141#2566C2212yescomplemented
142#2564C2214yes—
143#2563C2211yescharacteristic, complemented
144#2559C2214yescomplemented
145#2557C2214yescomplemented
146#2548C2212yescomplemented
147#2548C2212yescomplemented
148#2541C2211yescharacteristic, complemented
149#2541C2212yescomplemented
150#2541C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2540C2214yescomplemented
154#2538C2211yescharacteristic, complemented
155#2538C2211yescharacteristic, complemented
156#2522C2214yescomplemented
157#2512C2212yescomplemented
158#2509C2212yescomplemented
159#2508C2212yescomplemented
160#2505C2214yescomplemented
161#2496C2212yescomplemented
162#2491C2212yescomplemented
163#2490C2212yescomplemented
164#2490C2212yescomplemented
165#2487C2214yes—
166#2487C2212yescomplemented
167#2479C2214yescomplemented
168#2461C2214yescomplemented
169#2456C2214yescomplemented
170#2454C2212yescomplemented
171#2454C2212yescomplemented
172#2454C2212yescomplemented
173#2454C2212yescomplemented
174#2452C2212yescomplemented
175#2450C2214yescomplemented
176#2445C2212yescomplemented
177#2445C2212yescomplemented
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2443C2214yescomplemented
181#2442C2212yes—
182#2442C2212yes—
183#2437C2214yes—
184#2437C2214yes—
185#2433C2212yes—
186#2433C2212yes—
187#2431C2214yescomplemented
188#2430C2214yescomplemented
189#2430C2214yescomplemented
190#2430C2214yescomplemented
191#2428C2214yes—
192#2428C2212yes—
193#2428C2212yes—
194#2428C2212yes—
195#2428C2214yes—
196#2428C2212yes—
197#2428C2214yescomplemented
198#2428C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2425C2214yescomplemented
204#2424C2214yes—
205#2424C2214yes—
206#2422C2212yescomplemented
207#2420C2212yescomplemented
208#2420C2212yescomplemented
209#2419C2214yescomplemented
210#2418C2214yes—
211#2418C2214yes—
212#2417C2212yescomplemented
213#2416C2214yescomplemented
214#2416C2214yescomplemented
215#2414C2212yescomplemented
216#2412C2214yes—
217#2412C2214yes—
218#2410C2214yes—
219#2410C2214yes—
220#2410C2214yes—
221#2410C2214yes—
222#2408C2214yes—
223#2408C2214yes—
224#2408C2214yes—
225#2407C2212yescomplemented
226#2406C2214yescomplemented
227#2396C2212yescomplemented
228#2396C2212yescomplemented
229#2396C2212yescomplemented
230#2396C2212yescomplemented
231C2×#394C2212yes—
232C2×#392C2212yes—
233#2370C2212yescomplemented
234#2366C2212yescomplemented
235#2366C2212yescomplemented
236#2361C2212yes—
237#2361C2212yes—
238#2354C2211yescharacteristic, complemented
239#2349C2214yes—
240#2349C2212yescomplemented
241#2349C2212yescomplemented
242D4×C4⋊C4C2211yescharacteristic, complemented
243D4×C22⋊C4C2212yes—
244D4×C22⋊C4C2212yes—
245#2325C2212yes—
246#2324C2212yescomplemented
247#2324C2212yescomplemented
248#2315C2212yes—
249C4×C22⋊Q8C2211yescharacteristic
250C4×C22⋊Q8C2211yescharacteristic
251C4×C22⋊Q8C2212yes—
252C4×#121C2212yes—
253C2×#390C2211yescharacteristic
254C2×#389C2211yescharacteristic
255C2×#386C2212yes—
256#2280C2212yes—
257C2×#380C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2314yes—
261C23×D4C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C23×D4C2312yes—
267C24×C4C2311yescharacteristic
268C24×C4C2312yes—
269#554—44no—
270#550—44no—
271#550—48no—
272#546—416no—
273#540—48no—
274#540—48no—
275#538—48no—
276#538—48no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127—44no—
279C2×#127C2312yes—
280C2×#127C2312yes—
281C2×#127C2311yescharacteristic
282C2×#127C2312yes—
283C2×#127C2312yes—
284C2×#127C2314yes—
285C2×#127C2312yes—
286C2×#127C2312yes—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#125C2312yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294#525—48no—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×#121—48no—
314C2×#121—44no—
315C2×#121—44no—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×D4—44no—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C22⋊C4C2312yes—
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2314yes—
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2312yes—
398C22×C22⋊C4C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2314yes—
420#399C2312yes—
421#399C2312yes—
422#399C2312yes—
423#398C2312yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#396C2312yes—
455#396C2312yes—
456#396C2312yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2312yes—
465#395C2312yes—
466#395C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
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#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#394C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2312yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2312yes—
510#393C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2312yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#384C2311yescharacteristic
664#384C2311yescharacteristic
665#382C2312yes—
666#382C2314yes—
667#382C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2312yes—
671#381C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2314yes—
675#380C2314yes—
676#380C2311yescharacteristic
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2314yes—
687#380C2314yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2311yescharacteristic
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#379C2314yes—
698#379C2314yes—
699#379C2312yes—
700#379C2312yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2312yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C2×#95C2312yes—
722C2×#95C2311yescharacteristic
723C2×#95C2314yes—
724C2×#95C2314yes—
725C2×#95C2311yescharacteristic
726C25C2412yes—
727C25C2412yes—
728C25C2411yescharacteristic
729C2×#41—44no—
730C2×#41—48no—
731C2×#41—44no—
732C2×#41—48no—
733C2×#41—82no—
734C2×#41—84no—
735C22×Q8C2411yescharacteristic
736C22×Q8C2411yescharacteristic
737C22×Q8C2412yes—
738C22×Q8C2412yes—
739C22×D4—24no—
740C22×D4—28no—
741C22×D4—24no—
742C22×D4—24no—
743C22×D4—42no—
744C22×D4—42no—
745C22×D4—44no—
746C22×D4—42no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—44no—
752C22×D4—44no—
753C22×D4—82no—
754C22×D4—82no—
755C22×D4—82no—
756C22×D4—82no—
757C22×D4C2414yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2414yes—
763C22×D4C2411yescharacteristic
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2414yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C23×C4—28no—
785C23×C4—24no—
786C23×C4—44no—
787C23×C4—42no—
788C23×C4—42no—
789C23×C4—82no—
790C23×C4C2412yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2412yes—
802C23×C4C2414yes—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C23×C4C2414yes—
808C23×C4C2414yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C4⋊Q8—42no—
812#127—28no—
813#127—28no—
814#127—44no—
815#127—44no—
816#127—42no—
817#127—44no—
818#127—44no—
819#127—48no—
820#126—48no—
821#126—48no—
822#125—28no—
823#125—44no—
824#124—48no—
825#124—48no—
826#124—48no—
827#123—48no—
828#123—48no—
829#123—48no—
830#123—48no—
831#123—48no—
832#123—48no—
833#123—48no—
834#123—48no—
835#123—48no—
836C22⋊Q8—24no—
837C22⋊Q8—24no—
838C22⋊Q8—28no—
839C22⋊Q8—44no—
840C22⋊Q8—48no—
841C22⋊Q8—44no—
842C22⋊Q8—44no—
843C22⋊Q8—84no—
844C22⋊Q8—82no—
845#121—28no—
846#121—28no—
847#121—28no—
848#121—28no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—48no—
854#121—48no—
855#121—44no—
856#121—48no—
857#121—48no—
858#121—48no—
859#121—48no—
860#121—48no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—44no—
866#121—44no—
867#121—44no—
868#121—48no—
869#121—44no—
870#121—44no—
871#121—48no—
872#121—44no—
873#121—48no—
874#121—48no—
875#121—84no—
876#121—84no—
877#121—82no—
878#121—84no—
879#121—84no—
880#121—84no—
881#121—84no—
882#121—84no—
883#121—84no—
884#120—48no—
885#120—48no—
886#120—48no—
887#120—48no—
888#120—48no—
889C4×Q8—42no—
890C4×Q8—44no—
891C4×Q8—42no—
892C4×D4—28no—
893C4×D4—216no—
894C4×D4—24no—
895C4×D4—24no—
896C4×D4—28no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—48no—
902C4×D4—44no—
903C4×D4—44no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—48no—
908C4×D4—48no—
909C4×D4—48no—
910#117—44no—
911#117—44no—
912#117—44no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—42no—
915C2×C4⋊C4—44no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—82no—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C22⋊C4—24no—
971C2×C22⋊C4—28no—
972C2×C22⋊C4—24no—
973C2×C22⋊C4—44no—
974C2×C22⋊C4—44no—
975C2×C22⋊C4—44no—
976C2×C22⋊C4—48no—
977C2×C22⋊C4—48no—
978C2×C22⋊C4—82no—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C42—42no—
1045C2×C42—42no—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2414yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103C24—22no—
1104C24—24no—
1105C24—24no—
1106C24—24no—
1107C24—24no—
1108C24—22no—
1109C24—24no—
1110C24—24no—
1111C24—22no—
1112C24—24no—
1113C24—42no—
1114C24—41no—
1115C24—41no—
1116C24—42no—
1117C24—42no—
1118C24—41no—
1119C24—41no—
1120C24—42no—
1121C24—42no—
1122C24—42no—
1123C24—42no—
1124C24C2512yes—
1125C24C2514yes—
1126C24C2512yes—
1127C24C2514yes—
1128C24C2512yes—
1129C24C2511yescharacteristic
1130#41—816no—
1131#41—832no—
1132C2×Q8—22no—
1133C2×Q8—24no—
1134C2×Q8—22no—
1135C2×Q8—41no—
1136C2×Q8—42no—
1137C2×Q8—41no—
1138C2×Q8—42no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—42no—
1142C2×Q8—42no—
1143C2×Q8—42no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—24no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—28no—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—28no—
1164C2×D4—22no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—22no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—416no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—42no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—88no—
1226C2×D4—816no—
1227C2×D4—816no—
1228C2×D4—816no—
1229C2×D4—816no—
1230C2×D4H(5,𝔽2)14yes—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—28no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—42no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—88no—
1292C22×C4—816no—
1293C22×C4H(5,𝔽2)14yes—
1294C22×C4H(5,𝔽2)14yes—
1295C22×C42−1+414yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2514yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—22no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—41no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—41no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4H(5,𝔽2)14yes—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—28no—
1444C42—41no—
1445C42—41no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—24no—
1461C23—22no—
1462C23—24no—
1463C23—24no—
1464C23—22no—
1465C23—24no—
1466C23—24no—
1467C23—22no—
1468C23—24no—
1469C23—24no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—24no—
1475C23—24no—
1476C23—22no—
1477C23—22no—
1478C23—24no—
1479C23—24no—
1480C23—22no—
1481C23—24no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—24no—
1486C23—24no—
1487C23—48no—
1488C23—48no—
1489C23—48no—
1490C23—44no—
1491C23—44no—
1492C23—48no—
1493C23—44no—
1494C23—48no—
1495C23—82no—
1496C23—84no—
1497C23—84no—
1498C23—82no—
1499C23—82no—
1500C23—84no—
1501C23—82no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—84no—
1508C23C2×H(5,𝔽2)14yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23C2×H(5,𝔽2)12yes—
1511C23C2×2−1+412yes—
1512C23C2611yescharacteristic
1513Q8—44no—
1514Q8—48no—
1515Q8—82no—
1516Q8—162no—
1517D4—28no—
1518D4—48no—
1519D4—416no—
1520D4—416no—
1521D4—48no—
1522D4—44no—
1523D4—48no—
1524D4—84no—
1525D4—88no—
1526D4—88no—
1527D4—84no—
1528D4—88no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
1536D4—88no—
1537D4—164no—
1538D4—164no—
1539D4—164no—
1540D4—162no—
1541D4—164no—
1542D4—164no—
1543D4—164no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—28no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—48no—
1610C2×C4—48no—
1611C2×C4—44no—
1612C2×C4—48no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—88no—
1617C2×C4—88no—
1618C2×C4—82no—
1619C2×C4—82no—
1620C2×C4—84no—
1621C2×C4—88no—
1622C2×C4—88no—
1623C2×C4—164no—
1624C2×C4—164no—
1625C2×C4—164no—
1626C2×C4C2×H(5,𝔽2)14yes—
1627C2×C4C2×H(5,𝔽2)12yes—
1628C2×C4C2×H(5,𝔽2)14yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—24no—
1641C22—24no—
1642C22—24no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—44no—
1651C22—44no—
1652C22—42no—
1653C22—42no—
1654C22—44no—
1655C22—44no—
1656C22—42no—
1657C22—42no—
1658C22—44no—
1659C22—42no—
1660C22—44no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—44no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—42no—
1669C22—42no—
1670C22—44no—
1671C22—44no—
1672C22—44no—
1673C22—42no—
1674C22—42no—
1675C22—816no—
1676C22—88no—
1677C22—168no—
1678C22#354814yes—
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×2−1+411yescharacteristic
1684C22H(7,𝔽2)11yescharacteristic
1685C22H(7,𝔽2)11yescharacteristic
1686C4—22no—
1687C4—24no—
1688C4—22no—
1689C4—22no—
1690C4—24no—
1691C4—42no—
1692C4—44no—
1693C4—42no—
1694C4—44no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—44no—
1708C4#353614yes—
1709C2—24no—
1710C2—44no—
1711C2—84no—
1712C2—82no—
1713C2—82no—
1714C2—84no—
1715C2C2×#353611yescharacteristic
1716C2C2×#354811yescharacteristic
1717C2#6288111yescharacteristic
1718C2#6289211yescharacteristic
1719C2#6289211yescharacteristic
1720C2#6291211yescharacteristic
1721C2#6291611yescharacteristic
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. #59897C2semidirect
2. #59124C2semidirect
3. #57184C2semidirect
4. #54884C2semidirect
5. #53995C2semidirect
6. #53507C2semidirect
7. #53106C2semidirect
8. #52973C2semidirect
9. #52394C2semidirect
10. #45034C2semidirect
11. #44880C2semidirect
12. #42571C2semidirect
13. #42540C2semidirect
14. #42425C2semidirect
15. #42425C2semidirect
16. #40488C2semidirect
17. #39495C2semidirect
18. #39383C2semidirect
19. #37860C2semidirect
20. #37761C2semidirect
21. #37662C2semidirect
22. #37662C2semidirect
23. #37439C2semidirect
24. #36706C2semidirect
25. #36154C2semidirect
26. #36101C2semidirect
27. #35005C2semidirect
28. C2×#2428C2semidirect
29. #34578C2semidirect
30. C2×#554C22semidirect
31. C2×#550C22semidirect
32. C2×#550C22semidirect
34. C2×#540C22semidirect
35. C2×#540C22semidirect
49. #2837C22semidirect
50. #2829C22semidirect
51. #2827C22semidirect
52. #2826C22semidirect
53. #2824C22semidirect
54. #2819C22semidirect
55. #2816C22semidirect
56. #2813C22semidirect
57. #2813C22semidirect
58. #2813C22semidirect
59. #2813C22semidirect
60. #2813C22semidirect
61. #2807C22semidirect
62. #2804C22semidirect
63. #2788C22semidirect
64. #2780C22semidirect
65. #2779C22semidirect
66. #2743C22semidirect
67. #2733C22semidirect
68. #2732C22semidirect
69. #2723C22semidirect
70. #2717C22semidirect
71. #2714C22semidirect
72. #2708C22semidirect
73. #2708C22semidirect
74. #2706C22semidirect
75. #2705C22semidirect
76. #2705C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2701C22semidirect
80. #2699C22semidirect
81. #2699C22semidirect
82. #2696C22semidirect
83. #2691C22semidirect
84. #2691C22semidirect
85. #2688C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
88. #2682C22semidirect
89. #2682C22semidirect
90. #2682C22semidirect
91. #2681C22semidirect
92. #2676C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
95. #2676C22semidirect
96. #2675C22semidirect
97. #2675C22semidirect
98. #2675C22semidirect
99. #2675C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2671C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2667C22semidirect
112. #2667C22semidirect
113. #2665C22semidirect
114. #2665C22semidirect
115. #2662C22semidirect
118. #2656C22semidirect
119. #2656C22semidirect
122. #2639C22semidirect
123. #2636C22semidirect
128. #2624C22semidirect
129. #2624C22semidirect
130. #2624C22semidirect
131. #2619C22semidirect
132. #2619C22semidirect
135. #2615C22semidirect
136. #2615C22semidirect
137. #2584C22semidirect
138. #2580C22semidirect
139. #2580C22semidirect
141. #2566C22semidirect
143. #2563C22semidirect
144. #2559C22semidirect
145. #2557C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2540C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
156. #2522C22semidirect
157. #2512C22semidirect
158. #2509C22semidirect
159. #2508C22semidirect
160. #2505C22semidirect
161. #2496C22semidirect
162. #2491C22semidirect
163. #2490C22semidirect
164. #2490C22semidirect
166. #2487C22semidirect
167. #2479C22semidirect
168. #2461C22semidirect
169. #2456C22semidirect
170. #2454C22semidirect
171. #2454C22semidirect
172. #2454C22semidirect
173. #2454C22semidirect
174. #2452C22semidirect
175. #2450C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
180. #2443C22semidirect
187. #2431C22semidirect
188. #2430C22semidirect
189. #2430C22semidirect
190. #2430C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2425C22semidirect
206. #2422C22semidirect
207. #2420C22semidirect
208. #2420C22semidirect
209. #2419C22semidirect
212. #2417C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2414C22semidirect
225. #2407C22semidirect
226. #2406C22semidirect
227. #2396C22semidirect
228. #2396C22semidirect
229. #2396C22semidirect
230. #2396C22semidirect
233. #2370C22semidirect
234. #2366C22semidirect
235. #2366C22semidirect
238. #2354C22semidirect
240. #2349C22semidirect
241. #2349C22semidirect
242. D4×C4⋊C4C22semidirect
246. #2324C22semidirect
247. #2324C22semidirect

Maximal subgroups

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

subgroupindex
#598972
#591242
#571842
#548842
#539952
#535072
#531062
#529732
#523942
#450342
#448802
#425712
#425402
#424252
#404882
#394952
#393832
#378602
#377612
#376622
#374392
#367062
#361542
#361012
#350052
C2×#24282
#345782