Finite Group Databasebeta

← #8157399

Subgroups — #8157399

Order 512.

5334 conjugacy classes of subgroups.

The subgroup lattice has 1607 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59047C212yesmaximal, complemented
2#59030C212yesmaximal, complemented
3#57281C214yesmaximal, complemented
4#56671C214yesmaximal, complemented
5#56301C214yesmaximal, complemented
6#54081C214yesmaximal, complemented
7#53049C212yesmaximal, complemented
8#52995C212yesmaximal, complemented
9#52347C214yesmaximal, complemented
10#45059C212yesmaximal, complemented
11#44874C212yesmaximal, complemented
12#42799C212yesmaximal, complemented
13#42634C212yesmaximal, complemented
14#42588C212yesmaximal, complemented
15#42490C212yesmaximal, complemented
16#40893C214yesmaximal, complemented
17#39487C211yesmaximal, characteristic, complemented
18#39384C211yesmaximal, characteristic, complemented
19#38084C212yesmaximal, complemented
20#37941C212yesmaximal, complemented
21#37704C212yesmaximal, complemented
22#37692C212yesmaximal, complemented
23#37451C212yesmaximal, complemented
24#36719C212yesmaximal, complemented
25#36161C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic
27#35103C211yesmaximal, characteristic, complemented
28C2×#2452C211yesmaximal, characteristic, complemented
29#34584C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#552C2212yescomplemented
32C2×D42C2211yescharacteristic
33C2×D42C2212yes—
34C2×#542C2212yescomplemented
35C2×#539C2212yescomplemented
36C22×C4⋊Q8C2211yescharacteristic, complemented
37C2×#529C2212yescomplemented
38C22×C22⋊Q8C2212yescomplemented
39C22×#121C2212yes—
40C22×C4×D4C2211yescharacteristic
41#2857C2211yescharacteristic, complemented
42#2856C2211yescharacteristic
43#2850C2212yescomplemented
44#2848C2212yescomplemented
45#2847C2212yes—
46#2842C2214yescomplemented
47#2837C2214yescomplemented
48#2837C2214yescomplemented
49#2830C2214yescomplemented
50#2829C2214yescomplemented
51#2829C2214yescomplemented
52#2827C2214yescomplemented
53#2826C2214yescomplemented
54#2824C2214yescomplemented
55#2823C2214yescomplemented
56#2816C2214yescomplemented
57#2816C2214yescomplemented
58#2808C2214yescomplemented
59#2795C2214yescomplemented
60#2790C2214yescomplemented
61#2790C2214yescomplemented
62#2788C2214yescomplemented
63#2784C2214yescomplemented
64#2780C2214yescomplemented
65#2780C2214yescomplemented
66#2779C2214yescomplemented
67#2739C2214yescomplemented
68#2736C2214yescomplemented
69#2735C2214yescomplemented
70#2732C2212yescomplemented
71#2731C2214yescomplemented
72#2729C2214yescomplemented
73#2727C2212yescomplemented
74#2727C2212yescomplemented
75#2727C2214yescomplemented
76#2726C2212yescomplemented
77#2725C2214yescomplemented
78#2721C2214yescomplemented
79#2716C2214yescomplemented
80#2711C2214yescomplemented
81#2711C2214yescomplemented
82#2711C2214yescomplemented
83#2710C2214yescomplemented
84#2708C2214yescomplemented
85#2705C2214yescomplemented
86#2704C2214yescomplemented
87#2704C2214yescomplemented
88#2702C2214yescomplemented
89#2702C2214yescomplemented
90#2702C2214yescomplemented
91#2701C2214yescomplemented
92#2697C2214yescomplemented
93#2696C2214yescomplemented
94#2694C2214yescomplemented
95#2691C2214yescomplemented
96#2691C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2684C2214yescomplemented
102#2683C2214yescomplemented
103#2683C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2674C2214yescomplemented
108#2662C2214yescomplemented
109#2655C2212yescomplemented
110#2654C2212yescomplemented
111#2653C2214yescomplemented
112#2653C2214yescomplemented
113#2651C2212yescomplemented
114#2650C2212yescomplemented
115#2646C2211yescharacteristic, complemented
116#2643C2212yescomplemented
117#2641C2212yescomplemented
118#2640C2212yescomplemented
119#2639C2211yescharacteristic
120#2628C2212yescomplemented
121#2627C2211yescharacteristic, complemented
122#2626C2214yescomplemented
123#2626C2214yescomplemented
124#2626C2214yescomplemented
125#2623C2212yescomplemented
126#2620C2212yescomplemented
127#2620C2214yescomplemented
128#2620C2214yescomplemented
129#2618C2211yescharacteristic
130#2618C2212yes—
131#2618C2212yescomplemented
132#2618C2212yescomplemented
133#2618C2212yescomplemented
134#2601C2214yescomplemented
135#2601C2214yescomplemented
136#2601C2214yescomplemented
137#2589C2214yescomplemented
138#2566C2212yes—
139#2566C2212yescomplemented
140#2565C2212yescomplemented
141#2559C2214yescomplemented
142#2552C2212yescomplemented
143#2552C2212yescomplemented
144#2548C2212yescomplemented
145#2547C2211yescharacteristic
146#2545C2212yescomplemented
147#2544C2212yescomplemented
148#2544C2212yescomplemented
149#2541C2211yescharacteristic
150#2538C2211yescharacteristic
151#2538C2212yescomplemented
152#2537C2211yescharacteristic
153#2534C2214yescomplemented
154#2522C2214yescomplemented
155#2512C2212yescomplemented
156#2502C2214yescomplemented
157#2501C2214yescomplemented
158#2501C2212yescomplemented
159#2500C2212yescomplemented
160#2498C2214yescomplemented
161#2492C2212yescomplemented
162#2491C2212yescomplemented
163#2490C2212yescomplemented
164#2485C2212yescomplemented
165#2481C2214yescomplemented
166#2480C2214yescomplemented
167#2480C2214yescomplemented
168#2479C2214yescomplemented
169#2476C2214yescomplemented
170#2473C2214yescomplemented
171#2472C2214yescomplemented
172#2470C2214yescomplemented
173#2466C2214yescomplemented
174#2454C2212yes—
175#2454C2212yescomplemented
176#2453C2212yescomplemented
177#2452C2212yes—
178#2452C2212yes—
179#2452C2212yescomplemented
180#2452C2212yescomplemented
181#2452C2212yescomplemented
182#2452C2214yescomplemented
183#2452C2214yescomplemented
184#2451C2212yescomplemented
185#2448C2212yescomplemented
186#2447C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2443C2214yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2441C2214yescomplemented
193#2437C2214yescomplemented
194#2436C2214yescomplemented
195#2435C2212yes—
196#2435C2212yes—
197#2435C2212yes—
198#2435C2214yescomplemented
199#2429C2212yescomplemented
200#2428C2212yes—
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2424C2214yes—
206#2423C2212yescomplemented
207#2418C2214yescomplemented
208#2417C2212yescomplemented
209#2416C2212yes—
210#2416C2212yes—
211#2415C2212yescomplemented
212#2415C2212yescomplemented
213#2413C2214yescomplemented
214#2411C2214yescomplemented
215#2411C2214yescomplemented
216#2411C2214yescomplemented
217#2410C2214yes—
218#2409C2214yescomplemented
219#2408C2212yes—
220#2405C2214yescomplemented
221#2405C2214yescomplemented
222#2405C2214yescomplemented
223#2405C2214yescomplemented
224#2402C2212yescomplemented
225#2401C2212yescomplemented
226#2396C2212yescomplemented
227#2395C2212yescomplemented
228C2×#396C2212yescomplemented
229C2×#393C2212yescomplemented
230#2367C2212yes—
231#2367C2212yes—
232#2363C2212yescomplemented
233#2361C2212yescomplemented
234#2360C2212yescomplemented
235#2359C2214yescomplemented
236#2354C2211yescharacteristic, complemented
237Q8×C4⋊C4C2212yescomplemented
238D4×C4⋊C4C2211yescharacteristic
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2214yescomplemented
242#2331C2212yescomplemented
243#2326C2212yes—
244#2325C2212yescomplemented
245#2325C2212yescomplemented
246#2316C2212yescomplemented
247#2309C2212yes—
248C4×C22⋊Q8C2211yescharacteristic, complemented
249C4×#123C2212yescomplemented
250C4×#121C2211yescharacteristic
251C2×#390C2211yescharacteristic
252C2×#390C2211yescharacteristic
253C2×#389C2211yescharacteristic, complemented
254C2×#389C2211yescharacteristic, complemented
255#2290C2212yescomplemented
256C2×#385C2212yescomplemented
257#2280C2212yescomplemented
258C2×C4×C4⋊C4C2211yescharacteristic, complemented
259C23×Q8C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2312yes—
264C24×C4C2312yes—
265#556—44no—
266#552—48no—
267D42—44no—
268D42—48no—
269#542—48no—
270#539—48no—
271C2×C4⋊Q8—44no—
272C2×C4⋊Q8C2312yes—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2314yes—
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278#529—48no—
279C2×#126C2314yes—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2312yes—
285C2×#125C2312yes—
286C2×#125C2314yes—
287C2×#125C2314yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2314yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2314yes—
294C2×#123C2314yes—
295C2×#123C2312yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8—48no—
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2314yes—
310C2×C22⋊Q8C2314yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×#121—48no—
317C2×#121C2312yes—
318C2×#121C2312yes—
319C2×#121C2311yescharacteristic
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2314yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2312yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×D4—44no—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×#117C2312yes—
352C2×#117C2312yes—
353C2×#117C2314yes—
354C2×#117C2312yes—
355C2×#117C2314yes—
356C2×#117C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C22⋊C4C2314yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2312yes—
373C22×C42C2311yescharacteristic
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376#401C2312yes—
377#400C2312yes—
378#400C2314yes—
379#400C2312yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2312yes—
397#399C2314yes—
398#399C2314yes—
399#399C2314yes—
400#398C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2312yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#393C2314yes—
509#393C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2314yes—
515#391C2314yes—
516#391C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2314yes—
525#390C2314yes—
526#390C2312yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2314yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2314yes—
541#390C2311yescharacteristic
542#390C2314yes—
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
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#386C2312yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#384C2311yescharacteristic
662#384C2312yes—
663#384C2311yescharacteristic
664#384C2314yes—
665#384C2312yes—
666#384C2314yes—
667#382C2312yes—
668#381C2314yes—
669#381C2312yes—
670#380C2311yescharacteristic
671#380C2312yes—
672#380C2314yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2312yes—
680#380C2314yes—
681#380C2311yescharacteristic
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2314yes—
686#379C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2314yes—
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718#376C2312yes—
719C2×#95C2311yescharacteristic
720C2×#95C2311yescharacteristic
721C2×#95C2312yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2414yes—
725C22×Q8—44no—
726C22×Q8—44no—
727C22×Q8—82no—
728C22×Q8C2412yes—
729C22×Q8C2411yescharacteristic
730C22×Q8C2414yes—
731C22×Q8C2414yes—
732C22×D4—24no—
733C22×D4—28no—
734C22×D4—24no—
735C22×D4—42no—
736C22×D4—44no—
737C22×D4—44no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—48no—
741C22×D4—48no—
742C22×D4—48no—
743C22×D4—82no—
744C22×D4C2414yes—
745C22×D4C2411yescharacteristic
746C22×D4C2412yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2411yescharacteristic
750C22×D4C2411yescharacteristic
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C23×C4—28no—
759C23×C4—44no—
760C23×C4—82no—
761C23×C4C2411yescharacteristic
762C23×C4C2412yes—
763C23×C4C2412yes—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2411yescharacteristic
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2411yescharacteristic
779C4⋊Q8—28no—
780C4⋊Q8—44no—
781C4⋊Q8—42no—
782C4⋊Q8—48no—
783#127—42no—
784#127—44no—
785#126—48no—
786#126—48no—
787#126—48no—
788#126—48no—
789#126—48no—
790#125—44no—
791#125—44no—
792#125—48no—
793#125—48no—
794#124—28no—
795#124—44no—
796#124—44no—
797#124—48no—
798#124—44no—
799#124—84no—
800#123—48no—
801#123—44no—
802#123—48no—
803#123—48no—
804#123—48no—
805#123—48no—
806#123—48no—
807#123—84no—
808C22⋊Q8—28no—
809C22⋊Q8—24no—
810C22⋊Q8—48no—
811C22⋊Q8—48no—
812C22⋊Q8—48no—
813C22⋊Q8—48no—
814C22⋊Q8—48no—
815C22⋊Q8—48no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—82no—
820C22⋊Q8—84no—
821#121—24no—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—48no—
826#121—44no—
827#121—48no—
828#121—44no—
829#121—44no—
830#121—44no—
831#121—48no—
832#121—44no—
833#121—82no—
834#120—48no—
835#120—48no—
836#120—48no—
837C4×Q8—28no—
838C4×Q8—42no—
839C4×Q8—44no—
840C4×Q8—44no—
841C4×D4—28no—
842C4×D4—24no—
843C4×D4—24no—
844C4×D4—42no—
845C4×D4—42no—
846C4×D4—44no—
847C4×D4—44no—
848C4×D4—44no—
849C4×D4—42no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—48no—
853C4×D4—48no—
854#117—44no—
855#117—44no—
856#117—48no—
857#117—48no—
858#117—44no—
859#117—82no—
860C2×C4⋊C4—24no—
861C2×C4⋊C4—28no—
862C2×C4⋊C4—24no—
863C2×C4⋊C4—24no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—42no—
866C2×C4⋊C4—44no—
867C2×C4⋊C4—42no—
868C2×C4⋊C4—44no—
869C2×C4⋊C4C2411yescharacteristic
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C22⋊C4—44no—
931C2×C22⋊C4—48no—
932C2×C22⋊C4—44no—
933C2×C22⋊C4—44no—
934C2×C22⋊C4—44no—
935C2×C22⋊C4—84no—
936C2×C22⋊C4—82no—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C42—24no—
1001C2×C42—42no—
1002C2×C42—42no—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2414yes—
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2411yescharacteristic
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2414yes—
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2414yes—
1019C2×C42C2412yes—
1020#95C2414yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2414yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070C24—24no—
1071C24—24no—
1072C24—24no—
1073C24—24no—
1074C24—28no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24C2512yes—
1085C24C2512yes—
1086C24C2514yes—
1087C24C2512yes—
1088C24C2511yescharacteristic
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—22no—
1092C2×Q8—28no—
1093C2×Q8—24no—
1094C2×Q8—41no—
1095C2×Q8—44no—
1096C2×Q8—44no—
1097C2×Q8—41no—
1098C2×Q8—44no—
1099C2×Q8—44no—
1100C2×Q8—44no—
1101C2×Q8—816no—
1102C2×D4—24no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—28no—
1108C2×D4—24no—
1109C2×D4—28no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—28no—
1119C2×D4—24no—
1120C2×D4—22no—
1121C2×D4—24no—
1122C2×D4—416no—
1123C2×D4—42no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—42no—
1144C2×D4—816no—
1145C2×D4—816no—
1146C2×D4—832no—
1147C2×D42−1+414yes—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—22no—
1157C22×C4—24no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—42no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—44no—
1183C22×C4—41no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—44no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—816no—
1201C22×C4H(5,𝔽2)14yes—
1202C22×C4H(5,𝔽2)14yes—
1203C22×C4C2511yescharacteristic
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2514yes—
1216C22×C4C2514yes—
1217C22×C4C2514yes—
1218C22×C4C2514yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—28no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—42no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—41no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—41no—
1265C4⋊C4—42no—
1266C4⋊C4—41no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4H(5,𝔽2)14yes—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—24no—
1300C22⋊C4—28no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C42—24no—
1352C42—24no—
1353C42—24no—
1354C42—22no—
1355C42—22no—
1356C42—24no—
1357C42—28no—
1358C42—24no—
1359C42—24no—
1360C42—41no—
1361C42—41no—
1362C42—42no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—24no—
1381C23—24no—
1382C23—24no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—24no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—24no—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—48no—
1400C23—48no—
1401C23—48no—
1402C23—48no—
1403C23—84no—
1404C23—84no—
1405C23—84no—
1406C23—88no—
1407C23—88no—
1408C23—88no—
1409C23—88no—
1410C23—88no—
1411C23—164no—
1412C23—164no—
1413C23C2×H(5,𝔽2)12yes—
1414C23C2×H(5,𝔽2)12yes—
1415C23C2×2−1+414yes—
1416C23#58512yes—
1417C23C2611yescharacteristic
1418Q8—48no—
1419Q8—82no—
1420Q8—88no—
1421Q8—88no—
1422D4—28no—
1423D4—48no—
1424D4—44no—
1425D4—416no—
1426D4—48no—
1427D4—44no—
1428D4—48no—
1429D4—84no—
1430D4—88no—
1431D4—88no—
1432D4—88no—
1433D4—88no—
1434D4—164no—
1435D4—162no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—28no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—44no—
1503C2×C4—48no—
1504C2×C4—48no—
1505C2×C4—48no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—48no—
1510C2×C4—48no—
1511C2×C4—84no—
1512C2×C4—84no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4—84no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—164no—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×H(5,𝔽2)14yes—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×H(5,𝔽2)12yes—
1523C2×C4C2×H(5,𝔽2)12yes—
1524C2×C4C2×H(5,𝔽2)12yes—
1525C2×C4C2×2−1+412yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—44no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—42no—
1551C22—44no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—44no—
1556C22—42no—
1557C22—42no—
1558C22—44no—
1559C22—42no—
1560C22—816no—
1561C22—1616no—
1562C22#354614yes—
1563C22C22×H(5,𝔽2)11yescharacteristic
1564C22C22×H(5,𝔽2)11yescharacteristic
1565C22C22×H(5,𝔽2)11yescharacteristic
1566C22C22×2−1+411yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22H(7,𝔽2)11yescharacteristic
1569C222−1+611yescharacteristic
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—24no—
1574C4—42no—
1575C4—44no—
1576C4—42no—
1577C4—44no—
1578C4—42no—
1579C4—44no—
1580C4—44no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—44no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—41no—
1590C4—41no—
1591C4—42no—
1592C4—42no—
1593C4#353614yes—
1594C2—24no—
1595C2—44no—
1596C2—82no—
1597C2—84no—
1598C2—82no—
1599C2C2×#353611yescharacteristic
1600C2C2×#354611yescharacteristic
1601C2#6287811yescharacteristic
1602C2#6289211yescharacteristic
1603C2#6291911yescharacteristic
1604C2#6294211yescharacteristic
1605C2#6294811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalD4×#121C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59047C2semidirect
2. #59030C2semidirect
3. #57281C2semidirect
4. #56671C2semidirect
5. #56301C2semidirect
6. #54081C2semidirect
7. #53049C2semidirect
8. #52995C2semidirect
9. #52347C2semidirect
10. #45059C2semidirect
11. #44874C2semidirect
12. #42799C2semidirect
13. #42634C2semidirect
14. #42588C2semidirect
15. #42490C2semidirect
16. #40893C2semidirect
17. #39487C2semidirect
18. #39384C2semidirect
19. #38084C2semidirect
20. #37941C2semidirect
21. #37704C2semidirect
22. #37692C2semidirect
23. #37451C2semidirect
24. #36719C2semidirect
25. #36161C2semidirect
27. #35103C2semidirect
28. C2×#2452C2semidirect
29. #34584C2semidirect
30. C2×#556C22semidirect
31. C2×#552C22semidirect
34. C2×#542C22semidirect
35. C2×#539C22semidirect
36. C22×C4⋊Q8C22semidirect
37. C2×#529C22semidirect
38. C22×C22⋊Q8C22semidirect
41. #2857C22semidirect
43. #2850C22semidirect
44. #2848C22semidirect
46. #2842C22semidirect
47. #2837C22semidirect
48. #2837C22semidirect
49. #2830C22semidirect
50. #2829C22semidirect
51. #2829C22semidirect
52. #2827C22semidirect
53. #2826C22semidirect
54. #2824C22semidirect
55. #2823C22semidirect
56. #2816C22semidirect
57. #2816C22semidirect
58. #2808C22semidirect
59. #2795C22semidirect
60. #2790C22semidirect
61. #2790C22semidirect
62. #2788C22semidirect
63. #2784C22semidirect
64. #2780C22semidirect
65. #2780C22semidirect
66. #2779C22semidirect
67. #2739C22semidirect
68. #2736C22semidirect
69. #2735C22semidirect
70. #2732C22semidirect
71. #2731C22semidirect
72. #2729C22semidirect
73. #2727C22semidirect
74. #2727C22semidirect
75. #2727C22semidirect
76. #2726C22semidirect
77. #2725C22semidirect
78. #2721C22semidirect
79. #2716C22semidirect
80. #2711C22semidirect
81. #2711C22semidirect
82. #2711C22semidirect
83. #2710C22semidirect
84. #2708C22semidirect
85. #2705C22semidirect
86. #2704C22semidirect
87. #2704C22semidirect
88. #2702C22semidirect
89. #2702C22semidirect
90. #2702C22semidirect
91. #2701C22semidirect
92. #2697C22semidirect
93. #2696C22semidirect
94. #2694C22semidirect
95. #2691C22semidirect
96. #2691C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2684C22semidirect
102. #2683C22semidirect
103. #2683C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2674C22semidirect
108. #2662C22semidirect
109. #2655C22semidirect
110. #2654C22semidirect
111. #2653C22semidirect
112. #2653C22semidirect
113. #2651C22semidirect
114. #2650C22semidirect
115. #2646C22semidirect
116. #2643C22semidirect
117. #2641C22semidirect
118. #2640C22semidirect
120. #2628C22semidirect
121. #2627C22semidirect
122. #2626C22semidirect
123. #2626C22semidirect
124. #2626C22semidirect
125. #2623C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
128. #2620C22semidirect
131. #2618C22semidirect
132. #2618C22semidirect
133. #2618C22semidirect
134. #2601C22semidirect
135. #2601C22semidirect
136. #2601C22semidirect
137. #2589C22semidirect
139. #2566C22semidirect
140. #2565C22semidirect
141. #2559C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
144. #2548C22semidirect
146. #2545C22semidirect
147. #2544C22semidirect
148. #2544C22semidirect
151. #2538C22semidirect
153. #2534C22semidirect
154. #2522C22semidirect
155. #2512C22semidirect
156. #2502C22semidirect
157. #2501C22semidirect
158. #2501C22semidirect
159. #2500C22semidirect
160. #2498C22semidirect
161. #2492C22semidirect
162. #2491C22semidirect
163. #2490C22semidirect
164. #2485C22semidirect
165. #2481C22semidirect
166. #2480C22semidirect
167. #2480C22semidirect
168. #2479C22semidirect
169. #2476C22semidirect
170. #2473C22semidirect
171. #2472C22semidirect
172. #2470C22semidirect
173. #2466C22semidirect
175. #2454C22semidirect
176. #2453C22semidirect
179. #2452C22semidirect
180. #2452C22semidirect
181. #2452C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2451C22semidirect
185. #2448C22semidirect
186. #2447C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2443C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2437C22semidirect
194. #2436C22semidirect
198. #2435C22semidirect
199. #2429C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
206. #2423C22semidirect
207. #2418C22semidirect
208. #2417C22semidirect
211. #2415C22semidirect
212. #2415C22semidirect
213. #2413C22semidirect
214. #2411C22semidirect
215. #2411C22semidirect
216. #2411C22semidirect
218. #2409C22semidirect
220. #2405C22semidirect
221. #2405C22semidirect
222. #2405C22semidirect
223. #2405C22semidirect
224. #2402C22semidirect
225. #2401C22semidirect
226. #2396C22semidirect
227. #2395C22semidirect
228. C2×#396C22semidirect
229. C2×#393C22semidirect
232. #2363C22semidirect
233. #2361C22semidirect
234. #2360C22semidirect
235. #2359C22semidirect
236. #2354C22semidirect
237. Q8×C4⋊C4C22semidirect
241. D4×C22⋊C4C22semidirect
242. #2331C22semidirect
244. #2325C22semidirect
245. #2325C22semidirect
246. #2316C22semidirect
248. C4×C22⋊Q8C22semidirect
249. C4×#123C22semidirect
253. C2×#389C22semidirect
254. C2×#389C22semidirect
255. #2290C22semidirect
256. C2×#385C22semidirect
257. #2280C22semidirect
258. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#590472
#590302
#572812
#566712
#563012
#540812
#530492
#529952
#523472
#450592
#448742
#427992
#426342
#425882
#424902
#408932
#394872
#393842
#380842
#379412
#377042
#376922
#374512
#367192
#361612
D4×#1212
#351032
C2×#24522
#345842