Finite Group Databasebeta

← #8157199

Subgroups — #8157199

Order 512.

5422 conjugacy classes of subgroups.

The subgroup lattice has 1643 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59918C212yesmaximal, complemented
2#59143C212yesmaximal, complemented
3#58006C214yesmaximal, complemented
4#54882C214yesmaximal, complemented
5#54265C214yesmaximal, complemented
6#53575C214yesmaximal, complemented
7#53108C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#52411C214yesmaximal, complemented
10#45051C212yesmaximal, complemented
11#44883C212yesmaximal, complemented
12#42799C212yesmaximal, complemented
13#42585C212yesmaximal, complemented
14#42556C212yesmaximal, complemented
15#42441C212yesmaximal, complemented
16#40542C214yesmaximal, complemented
17#39511C211yesmaximal, characteristic, complemented
18#39367C211yesmaximal, characteristic, complemented
19#37957C212yesmaximal, complemented
20#37684C212yesmaximal, complemented
21#37664C212yesmaximal, complemented
22#37664C212yesmaximal, complemented
23#37451C212yesmaximal, complemented
24#36718C212yesmaximal, complemented
25#36161C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35014C211yesmaximal, characteristic, complemented
28C2×#2428C211yesmaximal, characteristic
29#34578C211yesmaximal, characteristic, complemented
30C2×#559C2212yescomplemented
31C2×#556C2211yescharacteristic, complemented
32C2×D4×Q8C2211yescharacteristic, complemented
33C2×#543C2212yes—
34C2×#542C2212yescomplemented
35C2×#542C2212yescomplemented
36C22×#127C2211yescharacteristic
37C22×C22⋊Q8C2212yes—
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2848C2212yes—
45#2848C2212yes—
46#2848C2212yes—
47#2837C2214yescomplemented
48#2837C2214yescomplemented
49#2832C2214yescomplemented
50#2829C2214yescomplemented
51#2829C2214yescomplemented
52#2827C2214yescomplemented
53#2827C2214yescomplemented
54#2823C2214yescomplemented
55#2816C2214yescomplemented
56#2816C2214yescomplemented
57#2814C2214yescomplemented
58#2814C2214yescomplemented
59#2808C2212yescomplemented
60#2806C2214yescomplemented
61#2800C2214yescomplemented
62#2792C2214yescomplemented
63#2786C2214yescomplemented
64#2740C2214yescomplemented
65#2732C2214yescomplemented
66#2732C2212yescomplemented
67#2730C2214yescomplemented
68#2730C2214yescomplemented
69#2728C2214yescomplemented
70#2727C2212yescomplemented
71#2718C2214yescomplemented
72#2718C2214yescomplemented
73#2715C2214yescomplemented
74#2712C2214yescomplemented
75#2712C2214yescomplemented
76#2710C2214yescomplemented
77#2710C2214yescomplemented
78#2709C2214yescomplemented
79#2709C2214yescomplemented
80#2705C2214yescomplemented
81#2705C2214yescomplemented
82#2702C2214yescomplemented
83#2702C2214yescomplemented
84#2701C2214yescomplemented
85#2701C2214yescomplemented
86#2700C2214yescomplemented
87#2695C2214yescomplemented
88#2695C2214yescomplemented
89#2692C2214yescomplemented
90#2692C2214yescomplemented
91#2692C2214yescomplemented
92#2691C2214yescomplemented
93#2691C2214yescomplemented
94#2686C2214yescomplemented
95#2686C2214yescomplemented
96#2683C2214yescomplemented
97#2683C2212yescomplemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2681C2214yescomplemented
101#2681C2214yescomplemented
102#2680C2214yescomplemented
103#2672C2214yescomplemented
104#2672C2214yescomplemented
105#2672C2214yescomplemented
106#2672C2214yescomplemented
107#2672C2214yescomplemented
108#2672C2214yescomplemented
109#2667C2212yescomplemented
110#2667C2212yescomplemented
111#2665C2212yescomplemented
112#2665C2212yescomplemented
113#2662C2214yescomplemented
114#2662C2214yescomplemented
115#2659C2211yescharacteristic
116#2659C2211yescharacteristic
117#2646C2212yes—
118#2646C2212yes—
119#2630C2214yescomplemented
120#2630C2214yescomplemented
121#2626C2211yescharacteristic
122#2626C2212yes—
123#2626C2211yescharacteristic
124#2626C2212yes—
125#2626C2212yes—
126#2626C2212yes—
127#2624C2212yescomplemented
128#2624C2212yescomplemented
129#2620C2212yescomplemented
130#2620C2212yescomplemented
131#2620C2214yescomplemented
132#2620C2214yescomplemented
133#2618C2214yescomplemented
134#2618C2214yescomplemented
135#2601C2214yescomplemented
136#2592C2212yescomplemented
137#2589C2214yescomplemented
138#2587C2214yescomplemented
139#2586C2214yescomplemented
140#2583C2214yes—
141#2582C2212yescomplemented
142#2567C2212yescomplemented
143#2560C2214yescomplemented
144#2549C2214yes—
145#2548C2212yescomplemented
146#2548C2212yescomplemented
147#2547C2211yescharacteristic, complemented
148#2545C2212yescomplemented
149#2544C2212yescomplemented
150#2544C2214yescomplemented
151#2544C2212yescomplemented
152#2542C2212yescomplemented
153#2542C2211yescharacteristic, complemented
154#2538C2212yescomplemented
155#2538C2211yescharacteristic, complemented
156#2538C2211yescharacteristic, complemented
157#2521C2214yescomplemented
158#2512C2212yescomplemented
159#2507C2212yescomplemented
160#2507C2212yescomplemented
161#2507C2214yescomplemented
162#2502C2214yes—
163#2501C2214yescomplemented
164#2497C2212yescomplemented
165#2492C2212yescomplemented
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2485C2212yescomplemented
169#2480C2214yes—
170#2480C2214yes—
171#2480C2214yes—
172#2480C2214yes—
173#2474C2214yescomplemented
174#2466C2214yescomplemented
175#2461C2214yescomplemented
176#2461C2214yescomplemented
177#2452C2212yescomplemented
178#2452C2212yescomplemented
179#2452C2212yescomplemented
180#2451C2212yescomplemented
181#2451C2212yescomplemented
182#2449C2214yescomplemented
183#2449C2214yescomplemented
184#2449C2214yescomplemented
185#2448C2212yescomplemented
186#2447C2212yescomplemented
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2445C2214yescomplemented
190#2440C2212yes—
191#2440C2212yes—
192#2437C2214yes—
193#2437C2214yes—
194#2437C2214yes—
195#2437C2214yes—
196#2436C2214yescomplemented
197#2435C2212yes—
198#2435C2212yes—
199#2435C2214yes—
200#2435C2214yes—
201#2435C2214yes—
202#2429C2212yescomplemented
203#2428C2212yes—
204#2428C2212yes—
205#2428C2214yes—
206#2428C2212yes—
207#2428C2212yes—
208#2428C2214yes—
209#2427C2212yescomplemented
210#2427C2212yescomplemented
211#2426C2212yescomplemented
212#2426C2212yescomplemented
213#2423C2212yescomplemented
214#2422C2212yescomplemented
215#2422C2212yescomplemented
216#2417C2214yescomplemented
217#2417C2212yescomplemented
218#2415C2212yescomplemented
219#2409C2214yescomplemented
220#2409C2212yescomplemented
221#2405C2214yes—
222#2405C2214yes—
223#2405C2214yes—
224#2405C2214yes—
225#2396C2212yescomplemented
226#2396C2212yescomplemented
227#2396C2212yescomplemented
228#2396C2212yescomplemented
229C2×#394C2212yes—
230C2×#392C2212yes—
231#2369C2212yescomplemented
232#2368C2214yes—
233#2367C2212yescomplemented
234#2366C2212yescomplemented
235#2360C2212yes—
236#2360C2212yes—
237#2354C2211yescharacteristic, complemented
238Q8×C4⋊C4C2212yescomplemented
239D4×C4⋊C4C2212yescomplemented
240D4×C4⋊C4C2211yescharacteristic, complemented
241D4×C22⋊C4C2212yes—
242D4×C22⋊C4C2212yes—
243D4×C22⋊C4C2214yes—
244#2329C2212yes—
245#2324C2212yescomplemented
246#2324C2212yescomplemented
247#2312C2212yes—
248#2312C2212yes—
249C4×C22⋊Q8C2212yes—
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2211yescharacteristic
252C4×C22⋊Q8C2211yescharacteristic
253C2×#390C2211yescharacteristic
254C2×#389C2211yescharacteristic
255C2×#386C2212yes—
256#2280C2212yes—
257#2280C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C23×Q8C2312yes—
260C23×D4C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2312yes—
265C23×D4C2312yes—
266C24×C4C2311yescharacteristic
267C24×C4C2312yes—
268#559—48no—
269#556—44no—
270D4×Q8—44no—
271#543—48no—
272#542—48no—
273#542—48no—
274C2×C4⋊Q8C2312yes—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2311yescharacteristic
277C2×C4⋊Q8C2311yescharacteristic
278C2×#127—44no—
279C2×#127C2312yes—
280C2×#127C2314yes—
281C2×#127C2312yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#126C2314yes—
285C2×#126C2314yes—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2314yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#124C2314yes—
294C2×#124C2314yes—
295C2×#124C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×C22⋊Q8—48no—
305C2×C22⋊Q8C2312yes—
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×#121—48no—
330C2×#121—44no—
331C2×#121—44no—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2314yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4—44no—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2312yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2314yes—
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#399C2312yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2312yes—
396#399C2312yes—
397#399C2312yes—
398#398C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2312yes—
439#396C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2312yes—
448#396C2312yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2312yes—
454#396C2312yes—
455#396C2312yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2312yes—
462#395C2312yes—
463#395C2312yes—
464#395C2312yes—
465#395C2314yes—
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#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2312yes—
511#393C2312yes—
512#393C2312yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2314yes—
518#391C2314yes—
519#391C2314yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2312yes—
532#390C2314yes—
533#390C2314yes—
534#390C2314yes—
535#390C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
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#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2312yes—
637#385C2314yes—
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#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#384C2314yes—
656#384C2314yes—
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2312yes—
661#381C2314yes—
662#381C2312yes—
663#381C2312yes—
664#380C2311yescharacteristic
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2312yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#380C2311yescharacteristic
680#380C2314yes—
681#380C2312yes—
682#380C2312yes—
683#380C2314yes—
684#380C2312yes—
685#380C2312yes—
686#380C2314yes—
687#379C2314yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2312yes—
694#379C2312yes—
695#379C2314yes—
696C4×C4⋊C4C2314yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2314yes—
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2311yescharacteristic
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2312yes—
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719C4×C22⋊C4C2312yes—
720C4×C22⋊C4C2312yes—
721C2×#95C2311yescharacteristic
722C2×#95C2312yes—
723C2×#95C2311yescharacteristic
724C25C2412yes—
725C25C2412yes—
726C25C2411yescharacteristic
727C22×Q8—44no—
728C22×Q8—44no—
729C22×Q8—82no—
730C22×Q8C2412yes—
731C22×Q8C2411yescharacteristic
732C22×Q8C2411yescharacteristic
733C22×Q8C2412yes—
734C22×Q8C2412yes—
735C22×Q8C2414yes—
736C22×Q8C2414yes—
737C22×D4—24no—
738C22×D4—24no—
739C22×D4—24no—
740C22×D4—28no—
741C22×D4—42no—
742C22×D4—42no—
743C22×D4—44no—
744C22×D4—42no—
745C22×D4—44no—
746C22×D4—44no—
747C22×D4—44no—
748C22×D4—44no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4—82no—
752C22×D4—82no—
753C22×D4—82no—
754C22×D4—82no—
755C22×D4C2411yescharacteristic
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2414yes—
759C22×D4C2411yescharacteristic
760C22×D4C2414yes—
761C22×D4C2414yes—
762C22×D4C2414yes—
763C22×D4C2412yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2414yes—
767C22×D4C2414yes—
768C23×C4—28no—
769C23×C4—24no—
770C23×C4—44no—
771C23×C4—42no—
772C23×C4—42no—
773C23×C4—82no—
774C23×C4C2412yes—
775C23×C4C2412yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2411yescharacteristic
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C4⋊Q8—28no—
793C4⋊Q8—44no—
794C4⋊Q8—42no—
795C4⋊Q8—42no—
796#127—28no—
797#127—44no—
798#127—48no—
799#126—48no—
800#126—48no—
801#126—48no—
802#126—84no—
803#124—28no—
804#124—44no—
805#124—48no—
806#124—44no—
807#124—44no—
808#124—48no—
809#124—48no—
810#124—84no—
811#124—84no—
812#124—84no—
813#123—48no—
814#123—48no—
815#123—48no—
816#123—48no—
817#123—84no—
818#123—84no—
819#123—84no—
820#123—84no—
821C22⋊Q8—24no—
822C22⋊Q8—28no—
823C22⋊Q8—24no—
824C22⋊Q8—28no—
825C22⋊Q8—28no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—48no—
831C22⋊Q8—48no—
832C22⋊Q8—48no—
833C22⋊Q8—48no—
834C22⋊Q8—48no—
835C22⋊Q8—48no—
836C22⋊Q8—44no—
837C22⋊Q8—44no—
838C22⋊Q8—44no—
839C22⋊Q8—44no—
840C22⋊Q8—44no—
841C22⋊Q8—44no—
842C22⋊Q8—84no—
843C22⋊Q8—82no—
844C22⋊Q8—82no—
845#121—28no—
846#121—28no—
847#121—48no—
848#121—48no—
849#121—48no—
850#121—48no—
851#121—48no—
852#121—48no—
853#121—44no—
854#121—44no—
855C4×Q8—28no—
856C4×Q8—42no—
857C4×Q8—42no—
858C4×Q8—44no—
859C4×Q8—44no—
860C4×Q8—44no—
861C4×D4—28no—
862C4×D4—24no—
863C4×D4—24no—
864C4×D4—42no—
865C4×D4—42no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—48no—
872C4×D4—84no—
873#117—44no—
874#117—44no—
875#117—44no—
876#117—82no—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—42no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—48no—
881C2×C4⋊C4—44no—
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C22⋊C4—24no—
945C2×C22⋊C4—28no—
946C2×C22⋊C4—24no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—48no—
951C2×C22⋊C4—48no—
952C2×C22⋊C4—82no—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C42—42no—
1016C2×C42—42no—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2414yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2414yes—
1081C24—22no—
1082C24—24no—
1083C24—24no—
1084C24—24no—
1085C24—24no—
1086C24—24no—
1087C24—22no—
1088C24—22no—
1089C24—24no—
1090C24—24no—
1091C24—42no—
1092C24—41no—
1093C24—41no—
1094C24—42no—
1095C24—42no—
1096C24—41no—
1097C24—41no—
1098C24—42no—
1099C24—42no—
1100C24—42no—
1101C24—42no—
1102C24C2514yes—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2511yescharacteristic
1107C2×Q8—24no—
1108C2×Q8—24no—
1109C2×Q8—22no—
1110C2×Q8—22no—
1111C2×Q8—24no—
1112C2×Q8—28no—
1113C2×Q8—24no—
1114C2×Q8—24no—
1115C2×Q8—41no—
1116C2×Q8—41no—
1117C2×Q8—41no—
1118C2×Q8—42no—
1119C2×Q8—44no—
1120C2×Q8—42no—
1121C2×Q8—41no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—44no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—816no—
1129C2×D4—28no—
1130C2×D4—24no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—22no—
1138C2×D4—28no—
1139C2×D4—22no—
1140C2×D4—28no—
1141C2×D4—24no—
1142C2×D4—22no—
1143C2×D4—24no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—416no—
1147C2×D4—42no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—42no—
1167C2×D4—44no—
1168C2×D4—88no—
1169C2×D4—816no—
1170C2×D4—816no—
1171C2×D4—816no—
1172C2×D4—816no—
1173C2×D4H(5,𝔽2)14yes—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—24no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—42no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—44no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—41no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—88no—
1226C22×C4—816no—
1227C22×C4H(5,𝔽2)14yes—
1228C22×C42−1+414yes—
1229C22×C42−1+414yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2512yes—
1246C22×C4C2514yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2511yescharacteristic
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—28no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—42no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—41no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4H(5,𝔽2)14yes—
1316C22⋊C4—24no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
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—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—24no—
1385C42—28no—
1386C42—41no—
1387C42—41no—
1388C42—42no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—24no—
1405C23—22no—
1406C23—22no—
1407C23—24no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—24no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—24no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—48no—
1426C23—48no—
1427C23—48no—
1428C23—44no—
1429C23—44no—
1430C23—48no—
1431C23—44no—
1432C23—48no—
1433C23—82no—
1434C23—84no—
1435C23—84no—
1436C23—82no—
1437C23—82no—
1438C23—84no—
1439C23—82no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23C2×H(5,𝔽2)14yes—
1447C23C2×H(5,𝔽2)12yes—
1448C23C2×2−1+412yes—
1449C23C2×2−1+412yes—
1450C23C2611yescharacteristic
1451Q8—44no—
1452Q8—48no—
1453Q8—82no—
1454Q8—84no—
1455Q8—84no—
1456Q8—88no—
1457Q8—164no—
1458D4—28no—
1459D4—48no—
1460D4—416no—
1461D4—44no—
1462D4—48no—
1463D4—84no—
1464D4—88no—
1465D4—88no—
1466D4—88no—
1467D4—88no—
1468D4—88no—
1469D4—88no—
1470D4—88no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—28no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—48no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—44no—
1542C2×C4—48no—
1543C2×C4—84no—
1544C2×C4—84no—
1545C2×C4—84no—
1546C2×C4—88no—
1547C2×C4—82no—
1548C2×C4—82no—
1549C2×C4—84no—
1550C2×C4—88no—
1551C2×C4—164no—
1552C2×C4—164no—
1553C2×C4C2×H(5,𝔽2)14yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×H(5,𝔽2)12yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×2−1+414yes—
1559C2×C4C2×2−1+412yes—
1560C2×C4C2×2−1+412yes—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—24no—
1568C22—24no—
1569C22—24no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—44no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—42no—
1581C22—42no—
1582C22—44no—
1583C22—42no—
1584C22—44no—
1585C22—42no—
1586C22—44no—
1587C22—42no—
1588C22—42no—
1589C22—44no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—816no—
1596C22—88no—
1597C22—168no—
1598C22#355014yes—
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×H(5,𝔽2)11yescharacteristic
1601C22C22×H(5,𝔽2)11yescharacteristic
1602C22C22×2−1+411yescharacteristic
1603C22C22×2−1+411yescharacteristic
1604C22H(7,𝔽2)11yescharacteristic
1605C22H(7,𝔽2)11yescharacteristic
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—24no—
1610C4—24no—
1611C4—42no—
1612C4—44no—
1613C4—44no—
1614C4—42no—
1615C4—42no—
1616C4—44no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—44no—
1623C4—44no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—41no—
1628C4—41no—
1629C4#353614yes—
1630C2—24no—
1631C2—44no—
1632C2—82no—
1633C2—82no—
1634C2—84no—
1635C2C2×#353611yescharacteristic
1636C2C2×#355011yescharacteristic
1637C2#6288111yescharacteristic
1638C2#6289211yescharacteristic
1639C2#6289411yescharacteristic
1640C2#6291211yescharacteristic
1641C2#6291711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#2428C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59918C2semidirect
2. #59143C2semidirect
3. #58006C2semidirect
4. #54882C2semidirect
5. #54265C2semidirect
6. #53575C2semidirect
7. #53108C2semidirect
8. #52964C2semidirect
9. #52411C2semidirect
10. #45051C2semidirect
11. #44883C2semidirect
12. #42799C2semidirect
13. #42585C2semidirect
14. #42556C2semidirect
15. #42441C2semidirect
16. #40542C2semidirect
17. #39511C2semidirect
18. #39367C2semidirect
19. #37957C2semidirect
20. #37684C2semidirect
21. #37664C2semidirect
22. #37664C2semidirect
23. #37451C2semidirect
24. #36718C2semidirect
25. #36161C2semidirect
26. D4×C22⋊Q8C2semidirect
27. #35014C2semidirect
29. #34578C2semidirect
30. C2×#559C22semidirect
31. C2×#556C22semidirect
32. C2×D4×Q8C22semidirect
34. C2×#542C22semidirect
35. C2×#542C22semidirect
47. #2837C22semidirect
48. #2837C22semidirect
49. #2832C22semidirect
50. #2829C22semidirect
51. #2829C22semidirect
52. #2827C22semidirect
53. #2827C22semidirect
54. #2823C22semidirect
55. #2816C22semidirect
56. #2816C22semidirect
57. #2814C22semidirect
58. #2814C22semidirect
59. #2808C22semidirect
60. #2806C22semidirect
61. #2800C22semidirect
62. #2792C22semidirect
63. #2786C22semidirect
64. #2740C22semidirect
65. #2732C22semidirect
66. #2732C22semidirect
67. #2730C22semidirect
68. #2730C22semidirect
69. #2728C22semidirect
70. #2727C22semidirect
71. #2718C22semidirect
72. #2718C22semidirect
73. #2715C22semidirect
74. #2712C22semidirect
75. #2712C22semidirect
76. #2710C22semidirect
77. #2710C22semidirect
78. #2709C22semidirect
79. #2709C22semidirect
80. #2705C22semidirect
81. #2705C22semidirect
82. #2702C22semidirect
83. #2702C22semidirect
84. #2701C22semidirect
85. #2701C22semidirect
86. #2700C22semidirect
87. #2695C22semidirect
88. #2695C22semidirect
89. #2692C22semidirect
90. #2692C22semidirect
91. #2692C22semidirect
92. #2691C22semidirect
93. #2691C22semidirect
94. #2686C22semidirect
95. #2686C22semidirect
96. #2683C22semidirect
97. #2683C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
100. #2681C22semidirect
101. #2681C22semidirect
102. #2680C22semidirect
103. #2672C22semidirect
104. #2672C22semidirect
105. #2672C22semidirect
106. #2672C22semidirect
107. #2672C22semidirect
108. #2672C22semidirect
109. #2667C22semidirect
110. #2667C22semidirect
111. #2665C22semidirect
112. #2665C22semidirect
113. #2662C22semidirect
114. #2662C22semidirect
119. #2630C22semidirect
120. #2630C22semidirect
127. #2624C22semidirect
128. #2624C22semidirect
129. #2620C22semidirect
130. #2620C22semidirect
131. #2620C22semidirect
132. #2620C22semidirect
133. #2618C22semidirect
134. #2618C22semidirect
135. #2601C22semidirect
136. #2592C22semidirect
137. #2589C22semidirect
138. #2587C22semidirect
139. #2586C22semidirect
141. #2582C22semidirect
142. #2567C22semidirect
143. #2560C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2547C22semidirect
148. #2545C22semidirect
149. #2544C22semidirect
150. #2544C22semidirect
151. #2544C22semidirect
152. #2542C22semidirect
153. #2542C22semidirect
154. #2538C22semidirect
155. #2538C22semidirect
156. #2538C22semidirect
157. #2521C22semidirect
158. #2512C22semidirect
159. #2507C22semidirect
160. #2507C22semidirect
161. #2507C22semidirect
163. #2501C22semidirect
164. #2497C22semidirect
165. #2492C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
168. #2485C22semidirect
173. #2474C22semidirect
174. #2466C22semidirect
175. #2461C22semidirect
176. #2461C22semidirect
177. #2452C22semidirect
178. #2452C22semidirect
179. #2452C22semidirect
180. #2451C22semidirect
181. #2451C22semidirect
182. #2449C22semidirect
183. #2449C22semidirect
184. #2449C22semidirect
185. #2448C22semidirect
186. #2447C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2445C22semidirect
196. #2436C22semidirect
202. #2429C22semidirect
209. #2427C22semidirect
210. #2427C22semidirect
211. #2426C22semidirect
212. #2426C22semidirect
213. #2423C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
218. #2415C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
225. #2396C22semidirect
226. #2396C22semidirect
227. #2396C22semidirect
228. #2396C22semidirect
231. #2369C22semidirect
233. #2367C22semidirect
234. #2366C22semidirect
237. #2354C22semidirect
238. Q8×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
245. #2324C22semidirect
246. #2324C22semidirect

Maximal subgroups

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

subgroupindex
#599182
#591432
#580062
#548822
#542652
#535752
#531082
#529642
#524112
#450512
#448832
#427992
#425852
#425562
#424412
#405422
#395112
#393672
#379572
#376842
#376642
#374512
#367182
#361612
D4×C22⋊Q82
#350142
C2×#24282
#345782