Finite Group Databasebeta

← #8699046

Subgroups — #8699046

Order 512.

6797 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59698C212yesmaximal, complemented
3#58997C211yesmaximal, characteristic, complemented
4#58997C212yesmaximal, complemented
5#58997C212yesmaximal, complemented
6#57209C214yesmaximal, complemented
7#54923C214yesmaximal, complemented
8#53613C214yesmaximal, complemented
9#52293C211yesmaximal, characteristic, complemented
10#52031C212yesmaximal, complemented
11#48091C214yesmaximal, complemented
12#47932C212yesmaximal, complemented
13#47838C214yesmaximal, complemented
14#45608C212yesmaximal, complemented
15#45487C211yesmaximal, characteristic, complemented
16#45046C212yesmaximal, complemented
17#44927C212yesmaximal, complemented
18#44877C212yesmaximal, complemented
19#42608C212yesmaximal, complemented
20#42606C212yesmaximal, complemented
21#42422C212yesmaximal, complemented
22#39405C212yesmaximal, complemented
23#39169C211yesmaximal, characteristic, complemented
24#39120C211yesmaximal, characteristic, complemented
25#38916C212yesmaximal, complemented
26#36902C212yesmaximal, complemented
27#36706C214yesmaximal, complemented
28#36528C211yesmaximal, characteristic, complemented
29D4×#121C212yesmaximal, complemented
30C2×#560C2212yescomplemented
31C2×#554C2211yescharacteristic, complemented
32C2×#550C2211yescharacteristic, complemented
33C2×#546C2212yescomplemented
34C2×D42C2212yescomplemented
35C2×D42C2212yescomplemented
36C2×D42C2212yescomplemented
37C2×D42C2212yescomplemented
38C2×D42C2214yescomplemented
39C2×D42C2212yescomplemented
40C2×D42C2212yescomplemented
41C2×#538C2214yescomplemented
42C2×#535C2212yescomplemented
43C22×#121C2212yescomplemented
44C22×#121C2214yescomplemented
45C22×#121C2211yescharacteristic, complemented
46C22×C4×D4C2211yescharacteristic, complemented
47#2858C2211yescharacteristic, complemented
48#2856C2212yescomplemented
49#2855C2211yescharacteristic, complemented
50#2848C2211yescharacteristic, complemented
51#2848C2212yescomplemented
52#2847C2214yescomplemented
53#2829C2214yescomplemented
54#2829C2214yescomplemented
55#2824C2214yescomplemented
56#2815C2212yescomplemented
57#2812C2214yescomplemented
58#2797C2212yescomplemented
59#2797C2214yescomplemented
60#2790C2212yescomplemented
61#2781C2214yescomplemented
62#2780C2214yescomplemented
63#2780C2214yescomplemented
64#2779C2214yescomplemented
65#2757C2214yescomplemented
66#2757C2212yescomplemented
67#2749C2212yescomplemented
68#2748C2211yescharacteristic, complemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2714C2214yescomplemented
72#2711C2214yescomplemented
73#2709C2211yescharacteristic, complemented
74#2709C2214yescomplemented
75#2708C2214yescomplemented
76#2708C2214yescomplemented
77#2708C2214yescomplemented
78#2699C2214yescomplemented
79#2697C2211yescharacteristic, complemented
80#2691C2214yescomplemented
81#2691C2214yescomplemented
82#2691C2212yescomplemented
83#2691C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2212yescomplemented
88#2684C2214yescomplemented
89#2679C2212yescomplemented
90#2679C2214yescomplemented
91#2679C2212yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2676C2214yescomplemented
100#2676C2214yescomplemented
101#2675C2214yescomplemented
102#2675C2212yescomplemented
103#2675C2214yescomplemented
104#2675C2214yescomplemented
105#2675C2212yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2670C2214yescomplemented
113#2669C2211yescharacteristic
114#2669C2212yescomplemented
115#2669C2212yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2669C2214yescomplemented
119#2668C2214yescomplemented
120#2668C2214yescomplemented
121#2668C2214yescomplemented
122#2648C2214yescomplemented
123#2641C2212yescomplemented
124#2636C2214yescomplemented
125#2631C2214yescomplemented
126#2630C2214yescomplemented
127#2626C2214yescomplemented
128#2626C2212yescomplemented
129#2624C2212yescomplemented
130#2622C2214yescomplemented
131#2617C2214yescomplemented
132#2613C2214yescomplemented
133#2603C2214yescomplemented
134#2600C2214yescomplemented
135#2579C2214yescomplemented
136#2579C2214yescomplemented
137#2566C2212yescomplemented
138#2563C2211yescharacteristic, complemented
139#2561C2212yescomplemented
140#2544C2212yescomplemented
141#2541C2212yescomplemented
142#2541C2211yescharacteristic, complemented
143#2541C2212yescomplemented
144#2541C2212yescomplemented
145#2541C2212yescomplemented
146#2540C2212yescomplemented
147#2537C2212yescomplemented
148#2537C2212yescomplemented
149#2537C2212yescomplemented
150#2537C2212yescomplemented
151#2534C2212yescomplemented
152#2531C2214yescomplemented
153#2512C2212yescomplemented
154#2512C2212yescomplemented
155#2507C2212yescomplemented
156#2502C2212yescomplemented
157#2497C2212yescomplemented
158#2491C2212yescomplemented
159#2487C2212yescomplemented
160#2468C2214yescomplemented
161#2467C2214yescomplemented
162#2464C2214yescomplemented
163#2464C2214yescomplemented
164#2463C2214yescomplemented
165#2460C2214yescomplemented
166#2456C2214yescomplemented
167#2452C2212yescomplemented
168#2447C2212yescomplemented
169#2445C2212yescomplemented
170#2435C2211yescharacteristic, complemented
171#2435C2211yescharacteristic, complemented
172#2435C2212yescomplemented
173#2433C2212yescomplemented
174#2433C2214yescomplemented
175#2433C2212yescomplemented
176#2433C2212yescomplemented
177#2431C2212yescomplemented
178#2428C2212yes—
179#2428C2212yescomplemented
180#2428C2212yescomplemented
181#2428C2214yescomplemented
182#2428C2212yescomplemented
183#2428C2212yescomplemented
184#2427C2212yescomplemented
185#2427C2212yescomplemented
186#2426C2212yescomplemented
187#2424C2214yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2422C2212yescomplemented
197#2422C2212yescomplemented
198#2416C2212yescomplemented
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2214yescomplemented
203#2416C2214yescomplemented
204#2416C2212yescomplemented
205#2410C2214yescomplemented
206#2410C2214yescomplemented
207#2410C2214yescomplemented
208#2410C2214yescomplemented
209#2410C2214yescomplemented
210#2410C2214yescomplemented
211#2410C2214yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2408C2211yescharacteristic
215#2408C2214yescomplemented
216#2408C2212yescomplemented
217#2408C2212yescomplemented
218#2408C2214yescomplemented
219#2408C2214yescomplemented
220#2408C2212yescomplemented
221#2408C2214yescomplemented
222#2408C2211yescharacteristic, complemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2405C2214yescomplemented
227#2403C2214yescomplemented
228#2403C2214yescomplemented
229#2403C2212yescomplemented
230#2395C2212yescomplemented
231#2392C2212yescomplemented
232#2392C2212yescomplemented
233#2377C2214yescomplemented
234#2367C2212yescomplemented
235#2366C2212yescomplemented
236#2361C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2214yescomplemented
239#2361C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241#2345C2211yescharacteristic, complemented
242#2345C2211yescharacteristic, complemented
243D4×C22⋊C4C2212yescomplemented
244D4×C22⋊C4C2212yescomplemented
245#2328C2212yescomplemented
246#2324C2212yescomplemented
247#2324C2212yescomplemented
248#2321C2212yescomplemented
249#2315C2214yescomplemented
250C4×#127C2211yescharacteristic, complemented
251C4×#127C2212yescomplemented
252C4×#126C2212yescomplemented
253C4×#123C2211yescharacteristic, complemented
254C4×#121C2212yescomplemented
255C4×#120C2212yescomplemented
256C4×#120C2212yescomplemented
257C4×#120C2211yescharacteristic, complemented
258#2295C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2312yes—
263C23×D4C2314yes—
264C23×D4C2314yes—
265C23×D4C2312yes—
266C23×D4C2314yes—
267C23×D4C2314yes—
268C23×D4C2314yes—
269C23×D4C2311yescharacteristic
270C24×C4C2312yes—
271C24×C4C2311yescharacteristic
272#560—48no—
273#554—44no—
274#550—44no—
275#546—48no—
276D42—48no—
277D42—48no—
278D42—48no—
279D42—416no—
280D42—48no—
281D42—48no—
282D42—48no—
283#538—416no—
284#535—48no—
285C2×C4⋊Q8C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2312yes—
288C2×#127C2312yes—
289C2×#127C2312yes—
290C2×#127C2312yes—
291C2×#127C2311yescharacteristic
292C2×#127C2312yes—
293C2×#127C2314yes—
294C2×#127C2312yes—
295C2×#126C2312yes—
296C2×#126C2314yes—
297C2×#126C2314yes—
298C2×#125C2312yes—
299C2×#124C2312yes—
300C2×#124C2314yes—
301C2×#124C2314yes—
302C2×#124C2312yes—
303C2×#123C2311yescharacteristic
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2312yes—
314C2×#121—416no—
315C2×#121—44no—
316C2×#121—48no—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#120C2312yes—
360C2×#120C2312yes—
361C2×#120C2311yescharacteristic
362C2×#120C2312yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×C4×Q8C2311yescharacteristic
383C2×C4×D4—44no—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2314yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×#117C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2314yes—
410C22×C4⋊C4C2312yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2314yes—
414C22×C22⋊C4C2314yes—
415C22×C22⋊C4C2312yes—
416C22×C22⋊C4C2314yes—
417C22×C42C2311yescharacteristic
418#400C2314yes—
419#400C2314yes—
420#400C2312yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#396C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
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#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
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#392C2312yes—
524#392C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2312yes—
528#392C2314yes—
529#392C2314yes—
530#392C2312yes—
531#392C2314yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2312yes—
540#391C2312yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2312yes—
544#390C2311yescharacteristic
545#390C2314yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2312yes—
596#388C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2312yes—
607#386C2314yes—
608#386C2314yes—
609#386C2311yescharacteristic
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#386C2312yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2311yescharacteristic
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2311yescharacteristic
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2311yescharacteristic
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#384C2311yescharacteristic
675#384C2312yes—
676#384C2312yes—
677#383C2312yes—
678#382C2312yes—
679#381C2311yescharacteristic
680#381C2312yes—
681#381C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2312yes—
692#380C2311yescharacteristic
693#380C2312yes—
694#380C2311yescharacteristic
695#380C2312yes—
696#380C2314yes—
697#379C2312yes—
698#379C2312yes—
699#379C2312yes—
700#379C2312yes—
701#379C2312yes—
702#379C2314yes—
703#379C2314yes—
704#379C2314yes—
705#379C2312yes—
706#379C2314yes—
707#379C2312yes—
708#379C2312yes—
709#379C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2311yescharacteristic
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2311yescharacteristic
724C4×C22⋊C4C2311yescharacteristic
725C4×C22⋊C4C2314yes—
726C4×C22⋊C4C2312yes—
727#376C2312yes—
728C43C2311yescharacteristic
729C25C2412yes—
730C25C2411yescharacteristic
731C25C2414yes—
732C25C2412yes—
733C25C2414yes—
734C2×#41—44no—
735C2×#41—44no—
736C2×#41—44no—
737C22×Q8C2411yescharacteristic
738C22×Q8C2412yes—
739C22×D4—28no—
740C22×D4—28no—
741C22×D4—28no—
742C22×D4—42no—
743C22×D4—42no—
744C22×D4—48no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—44no—
752C22×D4—48no—
753C22×D4—48no—
754C22×D4—48no—
755C22×D4—48no—
756C22×D4—48no—
757C22×D4—48no—
758C22×D4—48no—
759C22×D4—48no—
760C22×D4—48no—
761C22×D4—48no—
762C22×D4—48no—
763C22×D4—48no—
764C22×D4—48no—
765C22×D4—48no—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2412yes—
772C22×D4C2412yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2412yes—
780C22×D4C2414yes—
781C22×D4C2411yescharacteristic
782C22×D4C2412yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C22×D4C2414yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2412yes—
799C22×D4C2412yes—
800C22×D4C2414yes—
801C22×D4C2411yescharacteristic
802C23×C4—44no—
803C23×C4—42no—
804C23×C4—44no—
805C23×C4—48no—
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2414yes—
811C23×C4C2411yescharacteristic
812C23×C4C2414yes—
813C23×C4C2411yescharacteristic
814C23×C4C2414yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2414yes—
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2414yes—
823C23×C4C2414yes—
824C4⋊Q8—42no—
825#127—28no—
826#127—24no—
827#127—28no—
828#127—28no—
829#127—44no—
830#127—44no—
831#127—44no—
832#127—42no—
833#127—48no—
834#126—28no—
835#126—48no—
836#126—48no—
837#125—44no—
838#124—28no—
839#124—48no—
840#124—44no—
841#124—48no—
842#123—24no—
843#123—48no—
844#123—48no—
845#123—48no—
846#123—48no—
847C22⋊Q8—48no—
848C22⋊Q8—44no—
849C22⋊Q8—44no—
850C22⋊Q8—44no—
851C22⋊Q8—42no—
852C22⋊Q8—42no—
853#121—28no—
854#121—28no—
855#121—28no—
856#121—28no—
857#121—28no—
858#121—28no—
859#121—216no—
860#121—216no—
861#121—48no—
862#121—48no—
863#121—48no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—48no—
873#121—48no—
874#121—48no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—48no—
880#121—48no—
881#121—48no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—48no—
886#121—48no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—48no—
891#121—44no—
892#121—44no—
893#121—44no—
894#121—48no—
895#120—28no—
896#120—24no—
897#120—28no—
898#120—28no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—48no—
906#120—48no—
907#120—48no—
908#120—48no—
909#120—48no—
910#120—48no—
911#120—48no—
912#120—48no—
913#120—48no—
914#120—48no—
915#120—48no—
916#120—48no—
917#120—48no—
918C4×Q8—24no—
919C4×D4—28no—
920C4×D4—48no—
921C4×D4—48no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—42no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—48no—
940C4×D4—48no—
941#117—44no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—48no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4—216no—
986C2×C22⋊C4—44no—
987C2×C22⋊C4—48no—
988C2×C22⋊C4—44no—
989C2×C22⋊C4—48no—
990C2×C22⋊C4—48no—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C42—42no—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121C24—22no—
1122C24—24no—
1123C24—24no—
1124C24—28no—
1125C24—28no—
1126C24—28no—
1127C24—24no—
1128C24—28no—
1129C24—42no—
1130C24—41no—
1131C24—42no—
1132C24—44no—
1133C24—44no—
1134C24—42no—
1135C24—44no—
1136C24—42no—
1137C24—41no—
1138C24—44no—
1139C24—44no—
1140C24—44no—
1141C24—44no—
1142C24—44no—
1143C24—44no—
1144C24—44no—
1145C24—44no—
1146C24—44no—
1147C24—44no—
1148C24—42no—
1149C24—44no—
1150C24C2514yes—
1151C24C2512yes—
1152C24C2514yes—
1153C24C2514yes—
1154C24C2511yescharacteristic
1155C24C2512yes—
1156C24C2511yescharacteristic
1157#41—816no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×D4—28no—
1163C2×D4—24no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—24no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—28no—
1183C2×D4—28no—
1184C2×D4—28no—
1185C2×D4—28no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—24no—
1195C2×D4—24no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—41no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—41no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—41no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—416no—
1266C2×D4—816no—
1267C2×D4—816no—
1268C2×D4—832no—
1269C2×D4—88no—
1270C2×D4—832no—
1271C2×D4—816no—
1272C2×D4—832no—
1273C2×D4—832no—
1274C2×D4—832no—
1275C2×D4H(5,𝔽2)18yes—
1276C2×D4H(5,𝔽2)14yes—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—28no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—24no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—28no—
1296C22×C4—41no—
1297C22×C4—44no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—44no—
1321C22×C4—41no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—816no—
1326C22×C4—88no—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2514yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2511yescharacteristic
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2514yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—41no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—41no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4H(5,𝔽2)14yes—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—22no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—22no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—41no—
1424C22⋊C4—42no—
1425C22⋊C4—41no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4H(5,𝔽2)18yes—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—24no—
1472C42—24no—
1473C42—22no—
1474C42—24no—
1475C42—24no—
1476C42—42no—
1477C42—41no—
1478C42—44no—
1479C42—44no—
1480C23—24no—
1481C23—24no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—21no—
1486C23—21no—
1487C23—22no—
1488C23—24no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—24no—
1495C23—22no—
1496C23—21no—
1497C23—21no—
1498C23—22no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23—22no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—24no—
1507C23—24no—
1508C23—22no—
1509C23—24no—
1510C23—24no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—22no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—24no—
1520C23—24no—
1521C23—48no—
1522C23—44no—
1523C23—48no—
1524C23—416no—
1525C23—416no—
1526C23—84no—
1527C23—82no—
1528C23—88no—
1529C23—84no—
1530C23—88no—
1531C23—88no—
1532C23—88no—
1533C23—88no—
1534C23—88no—
1535C23—88no—
1536C23—88no—
1537C23—84no—
1538C23—88no—
1539C23—82no—
1540C23—84no—
1541C23—84no—
1542C23—88no—
1543C23—84no—
1544C23—88no—
1545C23—164no—
1546C23—164no—
1547C23—164no—
1548C23—164no—
1549C23—164no—
1550C23C2×H(5,𝔽2)18yes—
1551C23C2×H(5,𝔽2)12yes—
1552C23C2×H(5,𝔽2)14yes—
1553C23C2×H(5,𝔽2)12yes—
1554C23C2611yescharacteristic
1555Q8—44no—
1556Q8—162no—
1557D4—216no—
1558D4—44no—
1559D4—48no—
1560D4—416no—
1561D4—48no—
1562D4—416no—
1563D4—48no—
1564D4—48no—
1565D4—416no—
1566D4—416no—
1567D4—48no—
1568D4—48no—
1569D4—48no—
1570D4—84no—
1571D4—82no—
1572D4—88no—
1573D4—88no—
1574D4—88no—
1575D4—88no—
1576D4—84no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—88no—
1581D4—88no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—84no—
1587D4—88no—
1588D4—88no—
1589D4—164no—
1590D4—162no—
1591D4—164no—
1592D4—164no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—24no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—44no—
1646C2×C4—416no—
1647C2×C4—44no—
1648C2×C4—48no—
1649C2×C4—44no—
1650C2×C4—48no—
1651C2×C4—88no—
1652C2×C4—84no—
1653C2×C4—84no—
1654C2×C4—88no—
1655C2×C4—88no—
1656C2×C4—82no—
1657C2×C4—84no—
1658C2×C4—82no—
1659C2×C4—88no—
1660C2×C4—88no—
1661C2×C4—88no—
1662C2×C4—164no—
1663C2×C4C2×H(5,𝔽2)12yes—
1664C2×C4C2×H(5,𝔽2)14yes—
1665C2×C4C2×H(5,𝔽2)14yes—
1666C2×C4C2×H(5,𝔽2)14yes—
1667C2×C4C2×H(5,𝔽2)14yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C22—28no—
1670C22—24no—
1671C22—28no—
1672C22—24no—
1673C22—24no—
1674C22—24no—
1675C22—22no—
1676C22—22no—
1677C22—28no—
1678C22—24no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—44no—
1684C22—41no—
1685C22—44no—
1686C22—42no—
1687C22—44no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—44no—
1693C22—42no—
1694C22—44no—
1695C22—44no—
1696C22—44no—
1697C22—44no—
1698C22—42no—
1699C22—44no—
1700C22—42no—
1701C22—44no—
1702C22—42no—
1703C22—44no—
1704C22—44no—
1705C22—44no—
1706C22—42no—
1707C22—44no—
1708C22—44no—
1709C22—44no—
1710C22—42no—
1711C22—44no—
1712C22—44no—
1713C22—42no—
1714C22—816no—
1715C22—88no—
1716C22—1616no—
1717C22—1616no—
1718C22—168no—
1719C22C22×H(5,𝔽2)11yescharacteristic
1720C22C22×H(5,𝔽2)12yes—
1721C22C22×H(5,𝔽2)11yescharacteristic
1722C22C22×H(5,𝔽2)12yes—
1723C222−1+611yescharacteristic
1724C4—24no—
1725C4—24no—
1726C4—24no—
1727C4—22no—
1728C4—41no—
1729C4—42no—
1730C4—42no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—44no—
1736C4—44no—
1737C4—44no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4#353714yes—
1746C2—42no—
1747C2—48no—
1748C2—42no—
1749C2—44no—
1750C2—84no—
1751C2—82no—
1752C2—84no—
1753C2C2×#353711yescharacteristic
1754C2#6289511yescharacteristic
1755C2#6291412yes—
1756C2#6301111yescharacteristic
1757C2#6301112yes—
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. #59816C2semidirect
2. #59698C2semidirect
3. #58997C2semidirect
4. #58997C2semidirect
5. #58997C2semidirect
6. #57209C2semidirect
7. #54923C2semidirect
8. #53613C2semidirect
9. #52293C2semidirect
10. #52031C2semidirect
11. #48091C2semidirect
12. #47932C2semidirect
13. #47838C2semidirect
14. #45608C2semidirect
15. #45487C2semidirect
16. #45046C2semidirect
17. #44927C2semidirect
18. #44877C2semidirect
19. #42608C2semidirect
20. #42606C2semidirect
21. #42422C2semidirect
22. #39405C2semidirect
23. #39169C2semidirect
24. #39120C2semidirect
25. #38916C2semidirect
26. #36902C2semidirect
27. #36706C2semidirect
28. #36528C2semidirect
29. D4×#121C2semidirect
30. C2×#560C22semidirect
31. C2×#554C22semidirect
32. C2×#550C22semidirect
33. C2×#546C22semidirect
34. C2×D42C22semidirect
35. C2×D42C22semidirect
36. C2×D42C22semidirect
37. C2×D42C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
40. C2×D42C22semidirect
41. C2×#538C22semidirect
42. C2×#535C22semidirect
43. C22×#121C22semidirect
44. C22×#121C22semidirect
45. C22×#121C22semidirect
46. C22×C4×D4C22semidirect
47. #2858C22semidirect
48. #2856C22semidirect
49. #2855C22semidirect
50. #2848C22semidirect
51. #2848C22semidirect
52. #2847C22semidirect
53. #2829C22semidirect
54. #2829C22semidirect
55. #2824C22semidirect
56. #2815C22semidirect
57. #2812C22semidirect
58. #2797C22semidirect
59. #2797C22semidirect
60. #2790C22semidirect
61. #2781C22semidirect
62. #2780C22semidirect
63. #2780C22semidirect
64. #2779C22semidirect
65. #2757C22semidirect
66. #2757C22semidirect
67. #2749C22semidirect
68. #2748C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2711C22semidirect
73. #2709C22semidirect
74. #2709C22semidirect
75. #2708C22semidirect
76. #2708C22semidirect
77. #2708C22semidirect
78. #2699C22semidirect
79. #2697C22semidirect
80. #2691C22semidirect
81. #2691C22semidirect
82. #2691C22semidirect
83. #2691C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2684C22semidirect
89. #2679C22semidirect
90. #2679C22semidirect
91. #2679C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2676C22semidirect
100. #2676C22semidirect
101. #2675C22semidirect
102. #2675C22semidirect
103. #2675C22semidirect
104. #2675C22semidirect
105. #2675C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
112. #2670C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2668C22semidirect
120. #2668C22semidirect
121. #2668C22semidirect
122. #2648C22semidirect
123. #2641C22semidirect
124. #2636C22semidirect
125. #2631C22semidirect
126. #2630C22semidirect
127. #2626C22semidirect
128. #2626C22semidirect
129. #2624C22semidirect
130. #2622C22semidirect
131. #2617C22semidirect
132. #2613C22semidirect
133. #2603C22semidirect
134. #2600C22semidirect
135. #2579C22semidirect
136. #2579C22semidirect
137. #2566C22semidirect
138. #2563C22semidirect
139. #2561C22semidirect
140. #2544C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2541C22semidirect
145. #2541C22semidirect
146. #2540C22semidirect
147. #2537C22semidirect
148. #2537C22semidirect
149. #2537C22semidirect
150. #2537C22semidirect
151. #2534C22semidirect
152. #2531C22semidirect
153. #2512C22semidirect
154. #2512C22semidirect
155. #2507C22semidirect
156. #2502C22semidirect
157. #2497C22semidirect
158. #2491C22semidirect
159. #2487C22semidirect
160. #2468C22semidirect
161. #2467C22semidirect
162. #2464C22semidirect
163. #2464C22semidirect
164. #2463C22semidirect
165. #2460C22semidirect
166. #2456C22semidirect
167. #2452C22semidirect
168. #2447C22semidirect
169. #2445C22semidirect
170. #2435C22semidirect
171. #2435C22semidirect
172. #2435C22semidirect
173. #2433C22semidirect
174. #2433C22semidirect
175. #2433C22semidirect
176. #2433C22semidirect
177. #2431C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2426C22semidirect
187. #2424C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2422C22semidirect
197. #2422C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2410C22semidirect
206. #2410C22semidirect
207. #2410C22semidirect
208. #2410C22semidirect
209. #2410C22semidirect
210. #2410C22semidirect
211. #2410C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
215. #2408C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2405C22semidirect
227. #2403C22semidirect
228. #2403C22semidirect
229. #2403C22semidirect
230. #2395C22semidirect
231. #2392C22semidirect
232. #2392C22semidirect
233. #2377C22semidirect
234. #2367C22semidirect
235. #2366C22semidirect
236. #2361C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2361C22semidirect
240. D4×C4⋊C4C22semidirect
241. #2345C22semidirect
242. #2345C22semidirect
243. D4×C22⋊C4C22semidirect
244. D4×C22⋊C4C22semidirect
245. #2328C22semidirect
246. #2324C22semidirect
247. #2324C22semidirect
248. #2321C22semidirect
249. #2315C22semidirect
250. C4×#127C22semidirect
251. C4×#127C22semidirect
252. C4×#126C22semidirect
253. C4×#123C22semidirect
254. C4×#121C22semidirect
255. C4×#120C22semidirect
256. C4×#120C22semidirect
257. C4×#120C22semidirect
258. #2295C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#596982
#589972
#572092
#549232
#536132
#522932
#520312
#480912
#479322
#478382
#456082
#454872
#450462
#449272
#448772
#426082
#426062
#424222
#394052
#391692
#391202
#389162
#369022
#367062
#365282
D4×#1212