Finite Group Databasebeta

← #8418354

Subgroups — #8418354

Order 512.

5734 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58260C212yesmaximal, complemented
2#57971C212yesmaximal, complemented
3#57336C214yesmaximal, complemented
4#57157C214yesmaximal, complemented
5#55040C214yesmaximal, complemented
6#54921C214yesmaximal, complemented
7#53696C214yesmaximal, complemented
8#53064C212yesmaximal, complemented
9#52986C212yesmaximal, complemented
10#52977C212yesmaximal, complemented
11#52943C212yesmaximal, complemented
12#52313C214yesmaximal, complemented
13#45398C212yesmaximal, complemented
14#45045C212yesmaximal, complemented
15#44877C212yesmaximal, complemented
16#44870C212yesmaximal, complemented
17#42987C212yesmaximal, complemented
18#42975C211yesmaximal, characteristic, complemented
19#42730C212yesmaximal, complemented
20#42532C212yesmaximal, complemented
21#42475C211yesmaximal, characteristic, complemented
22#42420C212yesmaximal, complemented
23#37658C212yesmaximal, complemented
24#37650C212yesmaximal, complemented
25#37284C211yesmaximal, characteristic, complemented
26#36652C211yesmaximal, characteristic, complemented
27#36019C211yesmaximal, characteristic, complemented
28#35728C211yesmaximal, characteristic, complemented
29#35563C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#546C2212yescomplemented
32C2×D42C2212yescomplemented
33C2×D42C2211yescharacteristic, complemented
34C2×D42C2212yescomplemented
35C2×#535C2211yescharacteristic
36C2×#535C2212yescomplemented
37C2×#535C2212yescomplemented
38C2×#525C2212yescomplemented
39C2×#525C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic, complemented
41C2×#520C2211yescharacteristic, complemented
42#2847C2212yescomplemented
43#2838C2214yescomplemented
44#2829C2214yescomplemented
45#2829C2214yescomplemented
46#2828C2214yescomplemented
47#2828C2214yescomplemented
48#2828C2212yescomplemented
49#2828C2214yescomplemented
50#2826C2214yescomplemented
51#2825C2214yescomplemented
52#2824C2214yescomplemented
53#2818C2214yescomplemented
54#2817C2211yescharacteristic, complemented
55#2816C2212yescomplemented
56#2815C2211yescharacteristic
57#2814C2212yescomplemented
58#2814C2212yescomplemented
59#2813C2212yescomplemented
60#2813C2212yescomplemented
61#2812C2212yescomplemented
62#2812C2211yescharacteristic, complemented
63#2812C2211yescharacteristic, complemented
64#2812C2214yescomplemented
65#2812C2214yescomplemented
66#2812C2212yescomplemented
67#2803C2214yescomplemented
68#2803C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2760C2212yescomplemented
72#2757C2214yescomplemented
73#2756C2214yescomplemented
74#2756C2214yescomplemented
75#2756C2214yescomplemented
76#2756C2214yescomplemented
77#2752C2214yescomplemented
78#2752C2212yescomplemented
79#2749C2214yescomplemented
80#2749C2214yescomplemented
81#2737C2214yescomplemented
82#2736C2212yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2711C2214yescomplemented
86#2709C2214yescomplemented
87#2707C2214yescomplemented
88#2703C2214yescomplemented
89#2703C2214yescomplemented
90#2699C2212yescomplemented
91#2697C2214yescomplemented
92#2686C2214yescomplemented
93#2686C2214yescomplemented
94#2685C2214yescomplemented
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2685C2214yescomplemented
98#2684C2214yescomplemented
99#2684C2214yescomplemented
100#2679C2214yescomplemented
101#2679C2212yescomplemented
102#2679C2214yescomplemented
103#2679C2214yescomplemented
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2678C2214yescomplemented
109#2676C2214yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2672C2214yescomplemented
113#2671C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2214yescomplemented
116#2670C2214yescomplemented
117#2670C2214yescomplemented
118#2670C2212yescomplemented
119#2670C2212yescomplemented
120#2669C2214yescomplemented
121#2669C2214yescomplemented
122#2669C2214yescomplemented
123#2669C2214yescomplemented
124#2669C2214yescomplemented
125#2668C2212yescomplemented
126#2668C2214yescomplemented
127#2662C2214yescomplemented
128#2662C2214yescomplemented
129#2648C2214yescomplemented
130#2641C2214yescomplemented
131#2632C2214yescomplemented
132#2631C2214yescomplemented
133#2631C2212yescomplemented
134#2628C2211yescharacteristic, complemented
135#2620C2212yescomplemented
136#2619C2211yescharacteristic
137#2619C2212yescomplemented
138#2618C2212yescomplemented
139#2617C2214yescomplemented
140#2617C2214yescomplemented
141#2616C2212yescomplemented
142#2615C2212yescomplemented
143#2613C2214yescomplemented
144#2613C2214yescomplemented
145#2610C2212yescomplemented
146#2599C2212yescomplemented
147#2593C2212yescomplemented
148#2578C2214yescomplemented
149#2563C2211yescharacteristic, complemented
150#2558C2214yescomplemented
151#2555C2214yescomplemented
152#2548C2211yescharacteristic, complemented
153#2548C2214yescomplemented
154#2544C2212yescomplemented
155#2543C2214yescomplemented
156#2543C2212yescomplemented
157#2541C2212yes—
158#2540C2212yescomplemented
159#2540C2212yescomplemented
160#2537C2212yescomplemented
161#2536C2211yescharacteristic, complemented
162#2535C2212yescomplemented
163#2535C2211yescharacteristic, complemented
164#2534C2212yescomplemented
165#2534C2212yescomplemented
166#2526C2214yescomplemented
167#2525C2214yescomplemented
168#2513C2212yescomplemented
169#2512C2212yescomplemented
170#2510C2214yescomplemented
171#2506C2212yescomplemented
172#2500C2212yescomplemented
173#2495C2212yescomplemented
174#2494C2212yescomplemented
175#2491C2212yescomplemented
176#2491C2212yescomplemented
177#2490C2214yescomplemented
178#2490C2214yescomplemented
179#2485C2212yescomplemented
180#2481C2214yescomplemented
181#2472C2214yescomplemented
182#2468C2214yescomplemented
183#2467C2214yescomplemented
184#2461C2214yescomplemented
185#2445C2214yescomplemented
186#2445C2212yescomplemented
187#2435C2212yescomplemented
188#2433C2214yescomplemented
189#2433C2214yescomplemented
190#2433C2212yescomplemented
191#2433C2214yescomplemented
192#2433C2212yescomplemented
193#2428C2212yescomplemented
194#2428C2212yescomplemented
195#2428C2212yescomplemented
196#2428C2212yescomplemented
197#2427C2212yescomplemented
198#2426C2212yescomplemented
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2422C2212yescomplemented
205#2421C2212yescomplemented
206#2420C2212yescomplemented
207#2420C2212yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2416C2212yescomplemented
211#2416C2214yescomplemented
212#2415C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2214yescomplemented
216#2414C2212yescomplemented
217#2414C2212yescomplemented
218#2411C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2410C2214yescomplemented
222#2408C2212yescomplemented
223#2408C2212yescomplemented
224#2408C2212yescomplemented
225#2408C2212yescomplemented
226#2408C2214yescomplemented
227#2408C2212yescomplemented
228#2408C2212yescomplemented
229#2408C2212yescomplemented
230#2407C2212yescomplemented
231#2403C2214yescomplemented
232#2403C2214yescomplemented
233#2403C2214yescomplemented
234#2403C2212yescomplemented
235#2398C2212yescomplemented
236#2395C2212yescomplemented
237#2395C2212yescomplemented
238#2392C2212yescomplemented
239#2392C2211yescharacteristic, complemented
240#2392C2211yescharacteristic, complemented
241#2388C2212yescomplemented
242#2388C2212yescomplemented
243C2×#394C2212yescomplemented
244#2366C2212yescomplemented
245#2363C2212yescomplemented
246#2363C2212yescomplemented
247#2356C2211yescharacteristic, complemented
248#2354C2212yescomplemented
249#2352C2212yescomplemented
250#2349C2211yescharacteristic, complemented
251#2347C2212yescomplemented
252D4×C22⋊C4C2212yescomplemented
253#2324C2212yescomplemented
254#2324C2212yescomplemented
255#2324C2212yescomplemented
256#2316C2211yescharacteristic, complemented
257#2309C2211yescharacteristic, complemented
258#2280C2211yescharacteristic, complemented
259C22×#41C2311yescharacteristic
260C22×#41C2312yes—
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2314yes—
266C23×D4C2312yes—
267C23×D4C2312yes—
268C24×C4C2311yescharacteristic
269#556—44no—
270#546—48no—
271D42—44no—
272D42—48no—
273D42—48no—
274#535—48no—
275#535—48no—
276#535—44no—
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127C2312yes—
279C2×#127C2314yes—
280C2×#127C2311yescharacteristic
281C2×#127C2312yes—
282C2×#127C2314yes—
283C2×#127C2314yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#125C2314yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2314yes—
290C2×#124C2314yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294#525—48no—
295#525—44no—
296C2×#123C2314yes—
297C2×#123C2312yes—
298C2×#123C2312yes—
299C2×#123C2312yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2312yes—
307C2×#121—44no—
308C2×#121C2312yes—
309C2×#121C2312yes—
310C2×#121C2312yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#121C2314yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2312yes—
338C2×#120C2312yes—
339C2×#120C2314yes—
340C2×#120C2314yes—
341C2×#120C2314yes—
342C2×#120C2312yes—
343C2×#120C2312yes—
344C2×#120C2314yes—
345C2×#120C2314yes—
346C2×#120C2314yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358#520—44no—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C4⋊C4C2312yes—
387C22×C22⋊C4C2314yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390#401C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2314yes—
397#399C2312yes—
398#399C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#398C2312yes—
403#398C2312yes—
404#398C2314yes—
405#398C2312yes—
406#398C2311yescharacteristic
407#398C2311yescharacteristic
408#398C2312yes—
409#397C2312yes—
410#397C2311yescharacteristic
411#397C2311yescharacteristic
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2312yes—
427#397C2312yes—
428#397C2312yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2312yes—
440#396C2312yes—
441#396C2312yes—
442#396C2312yes—
443#395C2312yes—
444#395C2312yes—
445#395C2314yes—
446#395C2312yes—
447#394C2312yes—
448#394C2312yes—
449#394C2312yes—
450#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2311yescharacteristic
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#394C2311yescharacteristic
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2312yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2312yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#393C2312yes—
512#393C2312yes—
513#393C2312yes—
514#393C2312yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2312yes—
519#392C2312yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2312yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2312yes—
543#392C2312yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2312yes—
548#392C2311yescharacteristic
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2312yes—
554#392C2312yes—
555#392C2311yescharacteristic
556#392C2314yes—
557#392C2314yes—
558#391C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#384C2312yes—
669#383C2314yes—
670#383C2312yes—
671#383C2314yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2311yescharacteristic
675#381C2311yescharacteristic
676#381C2311yescharacteristic
677#381C2314yes—
678#381C2314yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2312yes—
685#380C2312yes—
686#380C2312yes—
687#380C2312yes—
688#380C2312yes—
689#380C2312yes—
690#380C2314yes—
691#380C2314yes—
692#380C2312yes—
693#380C2312yes—
694#379C2312yes—
695#379C2312yes—
696#379C2314yes—
697#379C2314yes—
698#379C2314yes—
699#379C2314yes—
700#379C2314yes—
701#379C2314yes—
702#379C2311yescharacteristic
703#379C2311yescharacteristic
704#379C2314yes—
705C4×C4⋊C4C2311yescharacteristic
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2314yes—
711C4×C4⋊C4C2311yescharacteristic
712C4×C4⋊C4C2312yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2314yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2314yes—
720C4×C22⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722#376C2312yes—
723C2×#95C2312yes—
724C25C2414yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C25C2414yes—
728C2×#41—24no—
729C2×#41—24no—
730C2×#41—44no—
731C2×#41—44no—
732C2×#41—44no—
733C2×#41—42no—
734C22×Q8C2411yescharacteristic
735C22×Q8C2412yes—
736C22×Q8C2412yes—
737C22×D4—28no—
738C22×D4—24no—
739C22×D4—42no—
740C22×D4—44no—
741C22×D4—42no—
742C22×D4—44no—
743C22×D4—44no—
744C22×D4—44no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—48no—
749C22×D4—48no—
750C22×D4—84no—
751C22×D4—84no—
752C22×D4—84no—
753C22×D4—84no—
754C22×D4—84no—
755C22×D4—84no—
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2411yescharacteristic
760C22×D4C2412yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2412yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C22×D4C2414yes—
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2411yescharacteristic
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2411yescharacteristic
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2414yes—
790C22×D4C2414yes—
791C23×C4—24no—
792C23×C4—42no—
793C23×C4—42no—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2412yes—
801C23×C4C2412yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2414yes—
805C23×C4C2414yes—
806C23×C4C2414yes—
807C4⋊Q8—42no—
808#127—28no—
809#127—48no—
810#127—44no—
811#127—42no—
812#127—48no—
813#127—84no—
814#126—48no—
815#126—84no—
816#125—84no—
817#124—48no—
818#124—44no—
819#124—44no—
820#124—44no—
821#124—48no—
822#124—84no—
823#124—84no—
824#123—44no—
825#123—44no—
826#123—44no—
827#123—48no—
828#123—84no—
829#123—84no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8—44no—
834C22⋊Q8—44no—
835#121—28no—
836#121—28no—
837#121—28no—
838#121—28no—
839#121—28no—
840#121—44no—
841#121—44no—
842#121—48no—
843#121—48no—
844#121—48no—
845#121—48no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—44no—
854#121—48no—
855#121—84no—
856#121—84no—
857#121—84no—
858#121—84no—
859#121—84no—
860#121—84no—
861#120—48no—
862#120—48no—
863#120—48no—
864#120—48no—
865#120—44no—
866#120—44no—
867#120—48no—
868#120—48no—
869#120—48no—
870#120—48no—
871#120—44no—
872#120—44no—
873#120—44no—
874#120—48no—
875#120—48no—
876#120—84no—
877#120—84no—
878#120—84no—
879#120—84no—
880#120—84no—
881#120—84no—
882#120—84no—
883#120—84no—
884#120—84no—
885C4×Q8—24no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—42no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—42no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—44no—
902C4×D4—48no—
903C4×D4—84no—
904#117—28no—
905#117—42no—
906#117—44no—
907#117—42no—
908#117—44no—
909#117—42no—
910#117—44no—
911C2×C4⋊C4—24no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C22⋊C4—44no—
951C2×C22⋊C4—48no—
952C2×C22⋊C4—84no—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2411yescharacteristic
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2414yes—
1045C2×C42C2414yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048#95C2411yescharacteristic
1049#95C2412yes—
1050#95C2414yes—
1051#95C2411yescharacteristic
1052#95C2412yes—
1053#95C2414yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2411yescharacteristic
1072#95C2414yes—
1073#95C2414yes—
1074#95C2411yescharacteristic
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2412yes—
1090C24—22no—
1091C24—28no—
1092C24—24no—
1093C24—41no—
1094C24—42no—
1095C24—42no—
1096C24—44no—
1097C24—41no—
1098C24—42no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—44no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—42no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24C2512yes—
1115C24C2512yes—
1116C24C2514yes—
1117C24C2514yes—
1118C24C2512yes—
1119C24C2511yescharacteristic
1120C24C2512yes—
1121#41—416no—
1122#41—816no—
1123C2×Q8—22no—
1124C2×Q8—22no—
1125C2×Q8—22no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—42no—
1129C2×Q8—42no—
1130C2×Q8—44no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—22no—
1142C2×D4—22no—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—24no—
1147C2×D4—24no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—28no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—41no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—41no—
1163C2×D4—44no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—44no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—42no—
1199C2×D4—44no—
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—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
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—88no—
1232C2×D4—816no—
1233C2×D4—816no—
1234C2×D4—816no—
1235C2×D4—832no—
1236C2×D4—832no—
1237C2×D4—816no—
1238C2×D4H(5,𝔽2)14yes—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—42no—
1257C22×C4—41no—
1258C22×C4—42no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—41no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—42no—
1273C22×C4—44no—
1274C22×C4—88no—
1275C22×C4H(5,𝔽2)14yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—41no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—41no—
1314C4⋊C4—42no—
1315C4⋊C4—41no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4H(5,𝔽2)14yes—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—28no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—41no—
1354C22⋊C4—42no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
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—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C42—28no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—22no—
1422C42—24no—
1423C42—24no—
1424C42—42no—
1425C42—42no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C42—44no—
1430C23—22no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—24no—
1435C23—22no—
1436C23—24no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—24no—
1442C23—22no—
1443C23—24no—
1444C23—22no—
1445C23—22no—
1446C23—24no—
1447C23—24no—
1448C23—22no—
1449C23—24no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—24no—
1457C23—24no—
1458C23—22no—
1459C23—24no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—24no—
1464C23—24no—
1465C23—24no—
1466C23—24no—
1467C23—24no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—44no—
1474C23—82no—
1475C23—84no—
1476C23—84no—
1477C23—88no—
1478C23—88no—
1479C23—88no—
1480C23—88no—
1481C23—84no—
1482C23—82no—
1483C23—84no—
1484C23—88no—
1485C23—88no—
1486C23—88no—
1487C23—88no—
1488C23—84no—
1489C23—88no—
1490C23—164no—
1491C23—164no—
1492C23—164no—
1493C23—164no—
1494C23—164no—
1495C23—164no—
1496C23—164no—
1497C23C2×H(5,𝔽2)12yes—
1498C23C2×H(5,𝔽2)14yes—
1499C23C2611yescharacteristic
1500Q8—44no—
1501Q8—84no—
1502Q8—84no—
1503D4—28no—
1504D4—48no—
1505D4—48no—
1506D4—48no—
1507D4—44no—
1508D4—48no—
1509D4—48no—
1510D4—84no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—84no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—82no—
1521D4—84no—
1522D4—84no—
1523D4—88no—
1524D4—88no—
1525D4—84no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—164no—
1533D4—164no—
1534D4—162no—
1535D4—164no—
1536D4—164no—
1537D4—164no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—24no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—24no—
1593C2×C4—22no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—84no—
1601C2×C4—82no—
1602C2×C4—88no—
1603C2×C4—88no—
1604C2×C4—162no—
1605C2×C4—164no—
1606C2×C4C2×H(5,𝔽2)14yes—
1607C2×C4C2×H(5,𝔽2)12yes—
1608C2×C4C2×H(5,𝔽2)12yes—
1609C2×C4C2×H(5,𝔽2)12yes—
1610C2×C4C2×H(5,𝔽2)12yes—
1611C22—22no—
1612C22—24no—
1613C22—28no—
1614C22—24no—
1615C22—42no—
1616C22—41no—
1617C22—42no—
1618C22—41no—
1619C22—42no—
1620C22—44no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—44no—
1625C22—44no—
1626C22—44no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—44no—
1631C22—44no—
1632C22—42no—
1633C22—42no—
1634C22—44no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—44no—
1639C22—44no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—44no—
1644C22—42no—
1645C22—44no—
1646C22—44no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—44no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—44no—
1655C22—42no—
1656C22—88no—
1657C22—168no—
1658C22—1616no—
1659C22—1616no—
1660C22C22×H(5,𝔽2)11yescharacteristic
1661C22C22×H(5,𝔽2)11yescharacteristic
1662C22C22×H(5,𝔽2)11yescharacteristic
1663C22H(7,𝔽2)12yes—
1664C22H(7,𝔽2)12yes—
1665C4—22no—
1666C4—24no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—44no—
1673C4—42no—
1674C4—44no—
1675C4—41no—
1676C4—42no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—44no—
1681C4—42no—
1682C4—44no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4#353714yes—
1687C2—42no—
1688C2—44no—
1689C2—82no—
1690C2—82no—
1691C2—82no—
1692C2—84no—
1693C2—84no—
1694C2C2×#353711yescharacteristic
1695C2#6287412yes—
1696C2#6304112yes—
1697C2#6304511yescharacteristic
1698C2#6306611yescharacteristic
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. #58260C2semidirect
2. #57971C2semidirect
3. #57336C2semidirect
4. #57157C2semidirect
5. #55040C2semidirect
6. #54921C2semidirect
7. #53696C2semidirect
8. #53064C2semidirect
9. #52986C2semidirect
10. #52977C2semidirect
11. #52943C2semidirect
12. #52313C2semidirect
13. #45398C2semidirect
14. #45045C2semidirect
15. #44877C2semidirect
16. #44870C2semidirect
17. #42987C2semidirect
18. #42975C2semidirect
19. #42730C2semidirect
20. #42532C2semidirect
21. #42475C2semidirect
22. #42420C2semidirect
23. #37658C2semidirect
24. #37650C2semidirect
25. #37284C2semidirect
26. #36652C2semidirect
27. #36019C2semidirect
28. #35728C2semidirect
29. #35563C2semidirect
30. C2×#556C22semidirect
31. C2×#546C22semidirect
32. C2×D42C22semidirect
33. C2×D42C22semidirect
34. C2×D42C22semidirect
36. C2×#535C22semidirect
37. C2×#535C22semidirect
38. C2×#525C22semidirect
39. C2×#525C22semidirect
40. C22×#121C22semidirect
41. C2×#520C22semidirect
42. #2847C22semidirect
43. #2838C22semidirect
44. #2829C22semidirect
45. #2829C22semidirect
46. #2828C22semidirect
47. #2828C22semidirect
48. #2828C22semidirect
49. #2828C22semidirect
50. #2826C22semidirect
51. #2825C22semidirect
52. #2824C22semidirect
53. #2818C22semidirect
54. #2817C22semidirect
55. #2816C22semidirect
57. #2814C22semidirect
58. #2814C22semidirect
59. #2813C22semidirect
60. #2813C22semidirect
61. #2812C22semidirect
62. #2812C22semidirect
63. #2812C22semidirect
64. #2812C22semidirect
65. #2812C22semidirect
66. #2812C22semidirect
67. #2803C22semidirect
68. #2803C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2760C22semidirect
72. #2757C22semidirect
73. #2756C22semidirect
74. #2756C22semidirect
75. #2756C22semidirect
76. #2756C22semidirect
77. #2752C22semidirect
78. #2752C22semidirect
79. #2749C22semidirect
80. #2749C22semidirect
81. #2737C22semidirect
82. #2736C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2711C22semidirect
86. #2709C22semidirect
87. #2707C22semidirect
88. #2703C22semidirect
89. #2703C22semidirect
90. #2699C22semidirect
91. #2697C22semidirect
92. #2686C22semidirect
93. #2686C22semidirect
94. #2685C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2685C22semidirect
98. #2684C22semidirect
99. #2684C22semidirect
100. #2679C22semidirect
101. #2679C22semidirect
102. #2679C22semidirect
103. #2679C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2678C22semidirect
109. #2676C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
112. #2672C22semidirect
113. #2671C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2670C22semidirect
118. #2670C22semidirect
119. #2670C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2669C22semidirect
123. #2669C22semidirect
124. #2669C22semidirect
125. #2668C22semidirect
126. #2668C22semidirect
127. #2662C22semidirect
128. #2662C22semidirect
129. #2648C22semidirect
130. #2641C22semidirect
131. #2632C22semidirect
132. #2631C22semidirect
133. #2631C22semidirect
134. #2628C22semidirect
135. #2620C22semidirect
137. #2619C22semidirect
138. #2618C22semidirect
139. #2617C22semidirect
140. #2617C22semidirect
141. #2616C22semidirect
142. #2615C22semidirect
143. #2613C22semidirect
144. #2613C22semidirect
145. #2610C22semidirect
146. #2599C22semidirect
147. #2593C22semidirect
148. #2578C22semidirect
149. #2563C22semidirect
150. #2558C22semidirect
151. #2555C22semidirect
152. #2548C22semidirect
153. #2548C22semidirect
154. #2544C22semidirect
155. #2543C22semidirect
156. #2543C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2537C22semidirect
161. #2536C22semidirect
162. #2535C22semidirect
163. #2535C22semidirect
164. #2534C22semidirect
165. #2534C22semidirect
166. #2526C22semidirect
167. #2525C22semidirect
168. #2513C22semidirect
169. #2512C22semidirect
170. #2510C22semidirect
171. #2506C22semidirect
172. #2500C22semidirect
173. #2495C22semidirect
174. #2494C22semidirect
175. #2491C22semidirect
176. #2491C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
179. #2485C22semidirect
180. #2481C22semidirect
181. #2472C22semidirect
182. #2468C22semidirect
183. #2467C22semidirect
184. #2461C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2435C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2433C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2427C22semidirect
198. #2426C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2422C22semidirect
205. #2421C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2415C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2414C22semidirect
217. #2414C22semidirect
218. #2411C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
221. #2410C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2408C22semidirect
227. #2408C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2407C22semidirect
231. #2403C22semidirect
232. #2403C22semidirect
233. #2403C22semidirect
234. #2403C22semidirect
235. #2398C22semidirect
236. #2395C22semidirect
237. #2395C22semidirect
238. #2392C22semidirect
239. #2392C22semidirect
240. #2392C22semidirect
241. #2388C22semidirect
242. #2388C22semidirect
243. C2×#394C22semidirect
244. #2366C22semidirect
245. #2363C22semidirect
246. #2363C22semidirect
247. #2356C22semidirect
248. #2354C22semidirect
249. #2352C22semidirect
250. #2349C22semidirect
251. #2347C22semidirect
252. D4×C22⋊C4C22semidirect
253. #2324C22semidirect
254. #2324C22semidirect
255. #2324C22semidirect
256. #2316C22semidirect
257. #2309C22semidirect
258. #2280C22semidirect

Maximal subgroups

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

subgroupindex
#582602
#579712
#573362
#571572
#550402
#549212
#536962
#530642
#529862
#529772
#529432
#523132
#453982
#450452
#448772
#448702
#429872
#429752
#427302
#425322
#424752
#424202
#376582
#376502
#372842
#366522
#360192
#357282
#355632