Finite Group Databasebeta

← #8726555

Subgroups — #8726555

Order 512.

5884 conjugacy classes of subgroups.

The subgroup lattice has 1679 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59770C212yesmaximal, complemented
2#59104C212yesmaximal, complemented
3#59053C212yesmaximal, complemented
4#58997C211yesmaximal, characteristic, complemented
5#58996C212yesmaximal, complemented
6#57222C214yesmaximal, complemented
7#57213C212yesmaximal, complemented
8#56375C214yesmaximal, complemented
9#53737C214yesmaximal, complemented
10#53103C211yesmaximal, characteristic, complemented
11#53000C212yesmaximal, complemented
12#52292C211yesmaximal, characteristic, complemented
13#47457C212yesmaximal, complemented
14#46447C214yesmaximal, complemented
15#45315C211yesmaximal, characteristic, complemented
16#44927C212yesmaximal, complemented
17#44872C214yesmaximal, complemented
18#43361C212yesmaximal, complemented
19#42979C211yesmaximal, characteristic, complemented
20#42752C212yesmaximal, complemented
21#41341C212yesmaximal, complemented
22#41293C214yesmaximal, complemented
23#39957C212yesmaximal, complemented
24#39402C212yesmaximal, complemented
25#39133C211yesmaximal, characteristic, complemented
26#39132C212yesmaximal, complemented
27#38910C212yesmaximal, complemented
28#36066C211yesmaximal, characteristic, complemented
29#35884C212yesmaximal, complemented
30C2×#553C2212yescomplemented
31C2×#550C2211yescharacteristic, complemented
32C2×#550C2212yescomplemented
33C2×#548C2212yescomplemented
34C2×#548C2211yescharacteristic, complemented
35C2×#546C2212yescomplemented
36C2×D42C2212yes—
37C2×D42C2212yes—
38C2×#540C2214yescomplemented
39C2×#535C2211yescharacteristic, complemented
40C2×#529C2212yescomplemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×#121C2212yes—
43#2856C2212yescomplemented
44#2847C2211yescharacteristic, complemented
45#2829C2214yescomplemented
46#2829C2214yescomplemented
47#2828C2214yescomplemented
48#2825C2214yescomplemented
49#2816C2212yescomplemented
50#2815C2212yescomplemented
51#2813C2214yescomplemented
52#2812C2214yescomplemented
53#2812C2212yescomplemented
54#2807C2211yescharacteristic, complemented
55#2797C2214yescomplemented
56#2796C2212yescomplemented
57#2786C2214yescomplemented
58#2780C2212yescomplemented
59#2778C2212yescomplemented
60#2752C2212yescomplemented
61#2752C2212yescomplemented
62#2748C2214yescomplemented
63#2746C2212yescomplemented
64#2735C2211yescharacteristic, complemented
65#2735C2212yescomplemented
66#2732C2214yescomplemented
67#2730C2214yescomplemented
68#2724C2212yescomplemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2711C2214yescomplemented
72#2710C2214yescomplemented
73#2709C2214yescomplemented
74#2707C2214yescomplemented
75#2705C2214yescomplemented
76#2703C2214yescomplemented
77#2703C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2693C2211yescharacteristic, complemented
81#2688C2212yescomplemented
82#2688C2214yescomplemented
83#2685C2214yescomplemented
84#2685C2214yescomplemented
85#2684C2214yescomplemented
86#2681C2214yescomplemented
87#2678C2212yes—
88#2678C2214yescomplemented
89#2678C2214yescomplemented
90#2678C2214yescomplemented
91#2678C2214yescomplemented
92#2678C2214yescomplemented
93#2678C2214yescomplemented
94#2676C2214yescomplemented
95#2675C2212yes—
96#2675C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2673C2214yescomplemented
101#2673C2214yescomplemented
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2669C2212yes—
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2668C2214yescomplemented
109#2668C2214yescomplemented
110#2668C2211yescharacteristic, complemented
111#2668C2214yescomplemented
112#2661C2214yescomplemented
113#2657C2211yescharacteristic, complemented
114#2657C2212yescomplemented
115#2654C2214yescomplemented
116#2654C2214yescomplemented
117#2648C2214yescomplemented
118#2644C2212yescomplemented
119#2639C2212yescomplemented
120#2635C2214yescomplemented
121#2635C2212yescomplemented
122#2625C2211yescharacteristic, complemented
123#2624C2214yescomplemented
124#2618C2212yescomplemented
125#2617C2214yescomplemented
126#2602C2214yescomplemented
127#2600C2212yescomplemented
128#2595C2214yescomplemented
129#2594C2214yescomplemented
130#2593C2212yescomplemented
131#2560C2214yescomplemented
132#2559C2214yescomplemented
133#2554C2214yescomplemented
134#2548C2212yescomplemented
135#2544C2212yescomplemented
136#2543C2212yescomplemented
137#2541C2211yescharacteristic
138#2541C2212yes—
139#2541C2212yescomplemented
140#2541C2214yescomplemented
141#2541C2212yescomplemented
142#2541C2212yescomplemented
143#2540C2212yes—
144#2540C2212yescomplemented
145#2540C2214yescomplemented
146#2540C2212yescomplemented
147#2540C2211yescharacteristic, complemented
148#2539C2212yes—
149#2539C2214yescomplemented
150#2538C2212yescomplemented
151#2534C2212yescomplemented
152#2531C2214yescomplemented
153#2530C2214yescomplemented
154#2506C2212yescomplemented
155#2501C2211yescharacteristic, complemented
156#2490C2212yes—
157#2490C2214yescomplemented
158#2490C2212yescomplemented
159#2490C2212yescomplemented
160#2486C2211yescharacteristic, complemented
161#2485C2212yescomplemented
162#2479C2214yescomplemented
163#2477C2214yescomplemented
164#2475C2214yescomplemented
165#2472C2214yescomplemented
166#2471C2214yescomplemented
167#2467C2214yescomplemented
168#2467C2214yescomplemented
169#2466C2214yescomplemented
170#2464C2214yescomplemented
171#2464C2214yescomplemented
172#2464C2214yescomplemented
173#2464C2214yescomplemented
174#2459C2214yescomplemented
175#2456C2214yescomplemented
176#2454C2214yescomplemented
177#2453C2212yescomplemented
178#2448C2212yescomplemented
179#2448C2212yescomplemented
180#2445C2212yescomplemented
181#2445C2214yescomplemented
182#2445C2212yescomplemented
183#2443C2214yescomplemented
184#2437C2214yescomplemented
185#2436C2212yescomplemented
186#2435C2212yescomplemented
187#2435C2211yescharacteristic, complemented
188#2433C2212yes—
189#2433C2212yescomplemented
190#2433C2214yescomplemented
191#2433C2214yescomplemented
192#2431C2212yescomplemented
193#2428C2212yes—
194#2428C2212yescomplemented
195#2428C2214yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2426C2212yes—
200#2426C2212yescomplemented
201#2425C2214yescomplemented
202#2424C2214yes—
203#2424C2214yescomplemented
204#2423C2212yescomplemented
205#2422C2212yescomplemented
206#2417C2212yescomplemented
207#2416C2212yes—
208#2416C2214yescomplemented
209#2416C2212yescomplemented
210#2414C2212yescomplemented
211#2414C2212yescomplemented
212#2414C2214yescomplemented
213#2414C2214yescomplemented
214#2414C2212yescomplemented
215#2410C2214yes—
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2408C2211yescharacteristic
219#2408C2212yescomplemented
220#2408C2214yescomplemented
221#2408C2214yescomplemented
222#2408C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2403C2212yes—
226#2401C2212yescomplemented
227#2397C2211yescharacteristic, complemented
228#2397C2212yescomplemented
229#2395C2211yescharacteristic, complemented
230#2395C2214yescomplemented
231#2392C2212yescomplemented
232#2370C2212yescomplemented
233#2367C2212yescomplemented
234#2366C2214yescomplemented
235#2364C2214yescomplemented
236#2363C2214yescomplemented
237#2362C2212yescomplemented
238#2361C2212yes—
239#2361C2212yescomplemented
240#2360C2212yescomplemented
241#2354C2212yescomplemented
242#2345C2212yescomplemented
243Q8×C22⋊C4C2211yescharacteristic, complemented
244#2339C2211yescharacteristic, complemented
245D4×C22⋊C4C2214yescomplemented
246#2324C2212yescomplemented
247#2322C2212yescomplemented
248#2321C2214yescomplemented
249#2321C2214yescomplemented
250#2309C2214yescomplemented
251C4×#123C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#120C2211yescharacteristic
256C4×#120C2212yescomplemented
257#2297C2212yescomplemented
258#2276C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C23×Q8C2311yescharacteristic
262C23×D4C2314yes—
263C23×D4C2314yes—
264C23×D4C2311yescharacteristic
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267#553—48no—
268#550—48no—
269#550—44no—
270#548—48no—
271#548—44no—
272#546—48no—
273D42—48no—
274D42—48no—
275#540—416no—
276#535—44no—
277C2×#127C2312yes—
278C2×#127C2314yes—
279C2×#127C2312yes—
280C2×#127C2314yes—
281C2×#127C2312yes—
282C2×#127C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2314yes—
285C2×#127C2312yes—
286#529—48no—
287C2×#126C2314yes—
288C2×#126C2314yes—
289C2×#125C2312yes—
290C2×#125C2314yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2311yescharacteristic
294C2×#124C2312yes—
295C2×#124C2312yes—
296C2×#124C2312yes—
297C2×#123C2312yes—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2312yes—
305C2×#123C2312yes—
306C2×#123C2314yes—
307C2×C22⋊Q8—44no—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2314yes—
315C2×#121—48no—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2311yescharacteristic
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2312yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2314yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#120C2311yescharacteristic
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2312yes—
356C2×#120C2314yes—
357C2×#120C2312yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2312yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×#117C2314yes—
388C2×#117C2314yes—
389C2×#117C2311yescharacteristic
390C2×#117C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C22⋊C4C2314yes—
395C22×C22⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398#401C2312yes—
399#400C2312yes—
400#400C2311yescharacteristic
401#400C2314yes—
402#400C2312yes—
403#400C2314yes—
404#400C2312yes—
405#400C2312yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2311yescharacteristic
412#399C2314yes—
413#399C2314yes—
414#399C2311yescharacteristic
415#399C2312yes—
416#399C2311yescharacteristic
417#398C2314yes—
418#398C2311yescharacteristic
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2311yescharacteristic
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2312yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2312yes—
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#394C2312yes—
482#394C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2312yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#392C2312yes—
505#392C2314yes—
506#392C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2311yescharacteristic
513#392C2314yes—
514#392C2311yescharacteristic
515#392C2312yes—
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
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#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#390C2314yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2314yes—
540#390C2314yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#389C2314yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2314yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#387C2312yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#386C2311yescharacteristic
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#385C2312yes—
660#385C2314yes—
661#385C2311yescharacteristic
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#384C2312yes—
674#381C2312yes—
675#381C2312yes—
676#381C2312yes—
677#380C2312yes—
678#380C2311yescharacteristic
679#380C2312yes—
680#380C2314yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2314yes—
684#380C2314yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2312yes—
694#379C2314yes—
695#379C2311yescharacteristic
696#379C2312yes—
697C4×C4⋊C4C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2311yescharacteristic
713C4×C22⋊C4C2311yescharacteristic
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2314yes—
721C4×C22⋊C4C2314yes—
722#376C2311yescharacteristic
723#376C2312yes—
724C2×#95C2312yes—
725C25C2411yescharacteristic
726C25C2414yes—
727C25C2412yes—
728C2×#41—24no—
729C2×#41—28no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C22×Q8—24no—
734C22×Q8—44no—
735C22×Q8C2411yescharacteristic
736C22×Q8C2411yescharacteristic
737C22×Q8C2412yes—
738C22×D4—44no—
739C22×D4—48no—
740C22×D4—42no—
741C22×D4—48no—
742C22×D4—48no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—48no—
747C22×D4—48no—
748C22×D4—48no—
749C22×D4C2411yescharacteristic
750C22×D4C2412yes—
751C22×D4C2412yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2411yescharacteristic
758C22×D4C2412yes—
759C22×D4C2412yes—
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2411yescharacteristic
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C23×C4—44no—
783C23×C4—42no—
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2411yescharacteristic
788C23×C4C2414yes—
789C23×C4C2412yes—
790C23×C4C2412yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2411yescharacteristic
798C23×C4C2414yes—
799C23×C4C2412yes—
800#127—44no—
801#127—44no—
802#127—44no—
803#127—42no—
804#127—48no—
805#127—44no—
806#127—48no—
807#127—48no—
808#127—44no—
809#126—48no—
810#126—48no—
811#125—28no—
812#125—48no—
813#124—28no—
814#124—48no—
815#124—44no—
816#124—44no—
817#124—42no—
818#124—44no—
819#123—28no—
820#123—28no—
821#123—48no—
822#123—48no—
823#123—48no—
824#123—48no—
825#123—48no—
826#123—82no—
827#123—84no—
828#123—82no—
829C22⋊Q8—28no—
830C22⋊Q8—28no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—44no—
834C22⋊Q8—42no—
835C22⋊Q8—44no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—216no—
841#121—44no—
842#121—44no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—48no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—44no—
854#121—44no—
855#121—48no—
856#121—48no—
857#121—44no—
858#121—44no—
859#121—44no—
860#121—48no—
861#121—44no—
862#121—42no—
863#121—44no—
864#121—44no—
865#121—48no—
866#121—48no—
867#121—44no—
868#121—48no—
869#121—84no—
870#121—84no—
871#120—24no—
872#120—48no—
873#120—48no—
874#120—48no—
875#120—48no—
876#120—48no—
877#120—44no—
878#120—48no—
879#120—48no—
880#120—44no—
881#120—82no—
882#120—84no—
883#120—84no—
884#120—84no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—44no—
888C4×D4—28no—
889C4×D4—48no—
890C4×D4—44no—
891C4×D4—48no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—48no—
903C4×D4—48no—
904C4×D4—48no—
905C4×D4—48no—
906C4×D4—48no—
907#117—42no—
908#117—48no—
909#117—48no—
910#117—44no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—42no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C22⋊C4—48no—
954C2×C22⋊C4—44no—
955C2×C22⋊C4—48no—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C42—44no—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049#95C2411yescharacteristic
1050#95C2414yes—
1051#95C2412yes—
1052#95C2411yescharacteristic
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2411yescharacteristic
1057#95C2414yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2411yescharacteristic
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092C24—22no—
1093C24—24no—
1094C24—28no—
1095C24—41no—
1096C24—42no—
1097C24—44no—
1098C24—41no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—42no—
1104C24—44no—
1105C24—42no—
1106C24—44no—
1107C24—44no—
1108C24—42no—
1109C24C2514yes—
1110C24C2511yescharacteristic
1111C24C2514yes—
1112C24C2512yes—
1113C24C2512yes—
1114C24C2511yescharacteristic
1115C24C2512yes—
1116#41—88no—
1117#41—816no—
1118C2×Q8—24no—
1119C2×Q8—24no—
1120C2×Q8—22no—
1121C2×Q8—24no—
1122C2×Q8—44no—
1123C2×Q8—88no—
1124C2×Q8H(5,𝔽2)14yes—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—22no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—28no—
1138C2×D4—24no—
1139C2×D4—24no—
1140C2×D4—24no—
1141C2×D4—28no—
1142C2×D4—24no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—24no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—41no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—41no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—42no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—832no—
1220C2×D4—816no—
1221C2×D4—88no—
1222C2×D4—832no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—22no—
1227C22×C4—28no—
1228C22×C4—24no—
1229C22×C4—28no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—24no—
1238C22×C4—28no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—88no—
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—28no—
1293C4⋊C4—24no—
1294C4⋊C4—28no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—41no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—44no—
1327C4⋊C4H(5,𝔽2)18yes—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—24no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—41no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—41no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—41no—
1404C22⋊C4H(5,𝔽2)14yes—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—28no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—42no—
1413C42—42no—
1414C42—44no—
1415C42—44no—
1416C42—44no—
1417C42—44no—
1418C42—42no—
1419C42—44no—
1420C23—22no—
1421C23—22no—
1422C23—21no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—21no—
1429C23—22no—
1430C23—22no—
1431C23—24no—
1432C23—22no—
1433C23—24no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—24no—
1438C23—24no—
1439C23—24no—
1440C23—21no—
1441C23—22no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—22no—
1446C23—22no—
1447C23—21no—
1448C23—24no—
1449C23—24no—
1450C23—22no—
1451C23—24no—
1452C23—22no—
1453C23—24no—
1454C23—22no—
1455C23—24no—
1456C23—21no—
1457C23—24no—
1458C23—24no—
1459C23—22no—
1460C23—22no—
1461C23—48no—
1462C23—44no—
1463C23—84no—
1464C23—82no—
1465C23—88no—
1466C23—88no—
1467C23—88no—
1468C23—82no—
1469C23—88no—
1470C23—88no—
1471C23—84no—
1472C23—88no—
1473C23—164no—
1474C23—164no—
1475C23—162no—
1476C23—164no—
1477C23—162no—
1478C23C2×H(5,𝔽2)12yes—
1479C23#58514yes—
1480C23C2611yescharacteristic
1481Q8—28no—
1482Q8—44no—
1483Q8—84no—
1484D4—416no—
1485D4—48no—
1486D4—416no—
1487D4—48no—
1488D4—48no—
1489D4—44no—
1490D4—88no—
1491D4—88no—
1492D4—88no—
1493D4—88no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—88no—
1499D4—84no—
1500D4—82no—
1501D4—88no—
1502D4—88no—
1503D4—82no—
1504D4—84no—
1505D4—88no—
1506D4—88no—
1507D4—84no—
1508D4—88no—
1509D4—84no—
1510D4—164no—
1511D4—164no—
1512D4—164no—
1513D4—164no—
1514D4—164no—
1515D4—162no—
1516D4—164no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—416no—
1573C2×C4—48no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—84no—
1578C2×C4—88no—
1579C2×C4—84no—
1580C2×C4—88no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—82no—
1585C2×C4—84no—
1586C2×C4—164no—
1587C2×C4—164no—
1588C2×C4C2×H(5,𝔽2)18yes—
1589C2×C4C2×H(5,𝔽2)14yes—
1590C2×C4C2×H(5,𝔽2)14yes—
1591C2×C4C2×H(5,𝔽2)12yes—
1592C2×C4C2×H(5,𝔽2)14yes—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—22no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—41no—
1607C22—44no—
1608C22—42no—
1609C22—44no—
1610C22—44no—
1611C22—42no—
1612C22—44no—
1613C22—42no—
1614C22—44no—
1615C22—44no—
1616C22—44no—
1617C22—42no—
1618C22—42no—
1619C22—44no—
1620C22—42no—
1621C22—44no—
1622C22—41no—
1623C22—42no—
1624C22—44no—
1625C22—42no—
1626C22—44no—
1627C22—44no—
1628C22—42no—
1629C22—44no—
1630C22—44no—
1631C22—44no—
1632C22—42no—
1633C22—41no—
1634C22—42no—
1635C22—44no—
1636C22—88no—
1637C22—1616no—
1638C22—168no—
1639C22C22×H(5,𝔽2)12yes—
1640C22C22×H(5,𝔽2)11yescharacteristic
1641C22C22×H(5,𝔽2)11yescharacteristic
1642C22C2×#58512yes—
1643C22H(7,𝔽2)11yescharacteristic
1644C4—24no—
1645C4—24no—
1646C4—28no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—44no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4#354314yes—
1666C2—42no—
1667C2—44no—
1668C2—82no—
1669C2—82no—
1670C2—84no—
1671C2—81no—
1672C2—84no—
1673C2C2×#354311yescharacteristic
1674C2#6289912yes—
1675C2#6291611yescharacteristic
1676C2#6301212yes—
1677C2#6302011yescharacteristic
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. #59770C2semidirect
2. #59104C2semidirect
3. #59053C2semidirect
4. #58997C2semidirect
5. #58996C2semidirect
6. #57222C2semidirect
7. #57213C2semidirect
8. #56375C2semidirect
9. #53737C2semidirect
10. #53103C2semidirect
11. #53000C2semidirect
12. #52292C2semidirect
13. #47457C2semidirect
14. #46447C2semidirect
15. #45315C2semidirect
16. #44927C2semidirect
17. #44872C2semidirect
18. #43361C2semidirect
19. #42979C2semidirect
20. #42752C2semidirect
21. #41341C2semidirect
22. #41293C2semidirect
23. #39957C2semidirect
24. #39402C2semidirect
25. #39133C2semidirect
26. #39132C2semidirect
27. #38910C2semidirect
28. #36066C2semidirect
29. #35884C2semidirect
30. C2×#553C22semidirect
31. C2×#550C22semidirect
32. C2×#550C22semidirect
33. C2×#548C22semidirect
34. C2×#548C22semidirect
35. C2×#546C22semidirect
38. C2×#540C22semidirect
39. C2×#535C22semidirect
40. C2×#529C22semidirect
41. C22×C22⋊Q8C22semidirect
43. #2856C22semidirect
44. #2847C22semidirect
45. #2829C22semidirect
46. #2829C22semidirect
47. #2828C22semidirect
48. #2825C22semidirect
49. #2816C22semidirect
50. #2815C22semidirect
51. #2813C22semidirect
52. #2812C22semidirect
53. #2812C22semidirect
54. #2807C22semidirect
55. #2797C22semidirect
56. #2796C22semidirect
57. #2786C22semidirect
58. #2780C22semidirect
59. #2778C22semidirect
60. #2752C22semidirect
61. #2752C22semidirect
62. #2748C22semidirect
63. #2746C22semidirect
64. #2735C22semidirect
65. #2735C22semidirect
66. #2732C22semidirect
67. #2730C22semidirect
68. #2724C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
71. #2711C22semidirect
72. #2710C22semidirect
73. #2709C22semidirect
74. #2707C22semidirect
75. #2705C22semidirect
76. #2703C22semidirect
77. #2703C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2693C22semidirect
81. #2688C22semidirect
82. #2688C22semidirect
83. #2685C22semidirect
84. #2685C22semidirect
85. #2684C22semidirect
86. #2681C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2678C22semidirect
94. #2676C22semidirect
96. #2675C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2673C22semidirect
101. #2673C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2668C22semidirect
109. #2668C22semidirect
110. #2668C22semidirect
111. #2668C22semidirect
112. #2661C22semidirect
113. #2657C22semidirect
114. #2657C22semidirect
115. #2654C22semidirect
116. #2654C22semidirect
117. #2648C22semidirect
118. #2644C22semidirect
119. #2639C22semidirect
120. #2635C22semidirect
121. #2635C22semidirect
122. #2625C22semidirect
123. #2624C22semidirect
124. #2618C22semidirect
125. #2617C22semidirect
126. #2602C22semidirect
127. #2600C22semidirect
128. #2595C22semidirect
129. #2594C22semidirect
130. #2593C22semidirect
131. #2560C22semidirect
132. #2559C22semidirect
133. #2554C22semidirect
134. #2548C22semidirect
135. #2544C22semidirect
136. #2543C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
144. #2540C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
149. #2539C22semidirect
150. #2538C22semidirect
151. #2534C22semidirect
152. #2531C22semidirect
153. #2530C22semidirect
154. #2506C22semidirect
155. #2501C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2490C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
162. #2479C22semidirect
163. #2477C22semidirect
164. #2475C22semidirect
165. #2472C22semidirect
166. #2471C22semidirect
167. #2467C22semidirect
168. #2467C22semidirect
169. #2466C22semidirect
170. #2464C22semidirect
171. #2464C22semidirect
172. #2464C22semidirect
173. #2464C22semidirect
174. #2459C22semidirect
175. #2456C22semidirect
176. #2454C22semidirect
177. #2453C22semidirect
178. #2448C22semidirect
179. #2448C22semidirect
180. #2445C22semidirect
181. #2445C22semidirect
182. #2445C22semidirect
183. #2443C22semidirect
184. #2437C22semidirect
185. #2436C22semidirect
186. #2435C22semidirect
187. #2435C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2431C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
200. #2426C22semidirect
201. #2425C22semidirect
203. #2424C22semidirect
204. #2423C22semidirect
205. #2422C22semidirect
206. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
226. #2401C22semidirect
227. #2397C22semidirect
228. #2397C22semidirect
229. #2395C22semidirect
230. #2395C22semidirect
231. #2392C22semidirect
232. #2370C22semidirect
233. #2367C22semidirect
234. #2366C22semidirect
235. #2364C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
239. #2361C22semidirect
240. #2360C22semidirect
241. #2354C22semidirect
242. #2345C22semidirect
243. Q8×C22⋊C4C22semidirect
244. #2339C22semidirect
245. D4×C22⋊C4C22semidirect
246. #2324C22semidirect
247. #2322C22semidirect
248. #2321C22semidirect
249. #2321C22semidirect
250. #2309C22semidirect
251. C4×#123C22semidirect
252. C4×#121C22semidirect
253. C4×#121C22semidirect
254. C4×#121C22semidirect
256. C4×#120C22semidirect
257. #2297C22semidirect
258. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#597702
#591042
#590532
#589972
#589962
#572222
#572132
#563752
#537372
#531032
#530002
#522922
#474572
#464472
#453152
#449272
#448722
#433612
#429792
#427522
#413412
#412932
#399572
#394022
#391332
#391322
#389102
#360662
#358842