Finite Group Databasebeta

← #8157405

Subgroups — #8157405

Order 512.

5270 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58998C212yesmaximal, complemented
2#58996C212yesmaximal, complemented
3#58012C214yesmaximal, complemented
4#55056C214yesmaximal, complemented
5#54275C214yesmaximal, complemented
6#53624C214yesmaximal, complemented
7#53041C212yesmaximal, complemented
8#52962C212yesmaximal, complemented
9#52470C214yesmaximal, complemented
10#45332C212yesmaximal, complemented
11#45220C212yesmaximal, complemented
12#42912C212yesmaximal, complemented
13#42812C212yesmaximal, complemented
14#42641C212yesmaximal, complemented
15#42552C212yesmaximal, complemented
16#40539C214yesmaximal, complemented
17#39640C211yesmaximal, characteristic, complemented
18#39615C211yesmaximal, characteristic, complemented
19#38122C212yesmaximal, complemented
20#37940C212yesmaximal, complemented
21#37872C212yesmaximal, complemented
22#37676C212yesmaximal, complemented
23#37477C212yesmaximal, complemented
24#36729C212yesmaximal, complemented
25#36161C211yesmaximal, characteristic, complemented
26#36153C211yesmaximal, characteristic, complemented
27#35011C211yesmaximal, characteristic, complemented
28C2×#2427C211yesmaximal, characteristic, complemented
29#34570C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×D4×Q8C2212yes—
32C2×D4×Q8C2212yescomplemented
33C2×#548C2212yes—
34C2×#547C2211yescharacteristic, complemented
35C2×#546C2212yes—
36C2×#536C2212yescomplemented
37C22×#124C2211yescharacteristic
38C22×C22⋊Q8C2212yes—
39C22×C22⋊Q8C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2857C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2848C2212yes—
46#2847C2212yes—
47#2841C2214yescomplemented
48#2841C2214yescomplemented
49#2838C2214yescomplemented
50#2838C2214yescomplemented
51#2837C2214yescomplemented
52#2830C2214yescomplemented
53#2827C2214yescomplemented
54#2827C2214yescomplemented
55#2827C2214yescomplemented
56#2824C2214yescomplemented
57#2821C2214yescomplemented
58#2817C2214yescomplemented
59#2806C2212yescomplemented
60#2805C2212yescomplemented
61#2802C2214yescomplemented
62#2796C2214yescomplemented
63#2793C2214yescomplemented
64#2787C2214yescomplemented
65#2784C2214yescomplemented
66#2783C2214yescomplemented
67#2782C2214yescomplemented
68#2780C2214yescomplemented
69#2778C2214yescomplemented
70#2776C2214yescomplemented
71#2774C2214yescomplemented
72#2770C2214yescomplemented
73#2765C2214yescomplemented
74#2750C2214yescomplemented
75#2748C2214yescomplemented
76#2747C2214yescomplemented
77#2746C2214yescomplemented
78#2742C2214yescomplemented
79#2741C2214yescomplemented
80#2734C2212yescomplemented
81#2732C2212yescomplemented
82#2729C2214yescomplemented
83#2725C2214yescomplemented
84#2723C2214yescomplemented
85#2723C2214yescomplemented
86#2717C2214yescomplemented
87#2717C2214yescomplemented
88#2711C2214yescomplemented
89#2708C2214yescomplemented
90#2708C2214yescomplemented
91#2702C2214yescomplemented
92#2692C2214yescomplemented
93#2692C2214yescomplemented
94#2691C2214yescomplemented
95#2691C2214yescomplemented
96#2688C2214yescomplemented
97#2683C2214yescomplemented
98#2681C2214yes—
99#2681C2214yescomplemented
100#2680C2214yescomplemented
101#2677C2214yescomplemented
102#2676C2214yes—
103#2674C2214yescomplemented
104#2674C2214yescomplemented
105#2674C2214yescomplemented
106#2672C2214yescomplemented
107#2672C2214yescomplemented
108#2672C2214yescomplemented
109#2659C2212yes—
110#2659C2212yes—
111#2659C2212yes—
112#2659C2214yescomplemented
113#2658C2212yescomplemented
114#2653C2212yescomplemented
115#2652C2212yescomplemented
116#2649C2212yescomplemented
117#2649C2214yescomplemented
118#2648C2212yescomplemented
119#2646C2211yescharacteristic
120#2646C2212yes—
121#2646C2214yescomplemented
122#2645C2212yescomplemented
123#2643C2212yes—
124#2639C2211yescharacteristic
125#2638C2214yescomplemented
126#2636C2214yescomplemented
127#2636C2214yescomplemented
128#2629C2214yescomplemented
129#2628C2214yescomplemented
130#2626C2211yescharacteristic
131#2625C2212yescomplemented
132#2622C2212yes—
133#2620C2212yescomplemented
134#2617C2211yescharacteristic
135#2598C2214yescomplemented
136#2583C2214yescomplemented
137#2583C2214yescomplemented
138#2579C2214yescomplemented
139#2578C2214yescomplemented
140#2569C2214yes—
141#2568C2212yescomplemented
142#2564C2214yes—
143#2564C2214yescomplemented
144#2547C2212yescomplemented
145#2547C2211yescharacteristic, complemented
146#2547C2211yescharacteristic, complemented
147#2546C2212yescomplemented
148#2545C2212yescomplemented
149#2542C2212yescomplemented
150#2540C2212yes—
151#2538C2211yescharacteristic, complemented
152#2537C2211yescharacteristic, complemented
153#2511C2212yescomplemented
154#2510C2214yes—
155#2506C2212yescomplemented
156#2505C2214yes—
157#2502C2212yescomplemented
158#2502C2212yescomplemented
159#2496C2212yescomplemented
160#2486C2212yescomplemented
161#2485C2212yescomplemented
162#2481C2214yes—
163#2480C2214yes—
164#2476C2214yescomplemented
165#2472C2214yes—
166#2466C2214yescomplemented
167#2464C2214yescomplemented
168#2460C2214yescomplemented
169#2455C2214yescomplemented
170#2450C2214yescomplemented
171#2449C2214yes—
172#2449C2214yescomplemented
173#2449C2214yescomplemented
174#2447C2212yescomplemented
175#2446C2212yescomplemented
176#2446C2212yescomplemented
177#2446C2212yescomplemented
178#2443C2214yes—
179#2442C2214yes—
180#2442C2214yescomplemented
181#2440C2214yes—
182#2440C2214yescomplemented
183#2440C2214yescomplemented
184#2437C2214yes—
185#2437C2214yes—
186#2437C2214yes—
187#2437C2214yes—
188#2436C2212yes—
189#2436C2212yescomplemented
190#2435C2212yes—
191#2434C2212yes—
192#2434C2212yescomplemented
193#2434C2212yescomplemented
194#2434C2212yescomplemented
195#2434C2212yescomplemented
196#2432C2212yescomplemented
197#2429C2212yescomplemented
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2427C2214yes—
201#2427C2214yes—
202#2427C2212yes—
203#2427C2212yes—
204#2427C2212yes—
205#2427C2212yes—
206#2427C2212yes—
207#2427C2212yescomplemented
208#2426C2212yes—
209#2425C2214yescomplemented
210#2423C2212yescomplemented
211#2418C2214yes—
212#2418C2214yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yescomplemented
216#2416C2214yes—
217#2416C2212yes—
218#2416C2212yescomplemented
219#2415C2212yescomplemented
220#2412C2214yes—
221#2410C2214yes—
222#2409C2212yescomplemented
223#2409C2212yescomplemented
224#2407C2212yes—
225#2401C2212yescomplemented
226#2398C2212yescomplemented
227#2395C2212yescomplemented
228#2392C2212yescomplemented
229C2×#397C2212yes—
230C2×#394C2212yes—
231#2367C2212yescomplemented
232#2361C2212yes—
233#2360C2212yes—
234#2360C2212yes—
235#2360C2212yescomplemented
236#2358C2214yes—
237#2354C2211yescharacteristic, complemented
238D4×C4⋊C4C2211yescharacteristic, complemented
239#2339C2212yescomplemented
240D4×C22⋊C4C2214yes—
241#2329C2212yes—
242#2326C2212yescomplemented
243#2325C2212yes—
244#2323C2212yescomplemented
245#2320C2212yescomplemented
246#2315C2212yes—
247#2315C2212yes—
248C4×C22⋊Q8C2211yescharacteristic
249C4×#121C2211yescharacteristic
250C4×#120C2212yes—
251C2×#391C2211yescharacteristic
252C2×#389C2211yescharacteristic
253#2290C2212yes—
254C2×#386C2212yes—
255#2280C2212yes—
256C2×#380C2212yes—
257C2×#380C2212yes—
258C2×C4×C22⋊C4C2211yescharacteristic
259C22×#41C2312yes—
260C23×Q8C2311yescharacteristic
261C23×Q8C2312yes—
262C23×Q8C2312yes—
263C23×D4C2311yescharacteristic
264C23×D4C2312yes—
265C24×C4C2311yescharacteristic
266C24×C4C2312yes—
267#556—44no—
268D4×Q8—48no—
269D4×Q8—48no—
270#548—48no—
271#547—44no—
272#546—48no—
273#536—48no—
274C2×C4⋊Q8C2314yes—
275C2×C4⋊Q8C2312yes—
276C2×C4⋊Q8C2312yes—
277C2×C4⋊Q8C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2314yes—
281C2×C4⋊Q8C2312yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2314yes—
285C2×#124—44no—
286C2×#124C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2314yes—
292C2×#124C2314yes—
293C2×#123C2314yes—
294C2×#123C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×C22⋊Q8—44no—
298C2×C22⋊Q8—48no—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2314yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×C22⋊Q8C2314yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2314yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×#121—44no—
322C2×#121C2311yescharacteristic
323C2×#121C2312yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2312yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2312yes—
331C2×#121C2314yes—
332C2×#120C2312yes—
333C2×#120C2314yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×D4—44no—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2312yes—
342C2×C4×D4C2314yes—
343C2×C4×D4C2314yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2314yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2314yes—
354C2×#117C2312yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2314yes—
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2314yes—
368C22×C22⋊C4C2314yes—
369C22×C22⋊C4C2312yes—
370C22×C22⋊C4C2312yes—
371C22×C22⋊C4C2312yes—
372C22×C22⋊C4C2312yes—
373C22×C22⋊C4C2312yes—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376#401C2312yes—
377#401C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2312yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#399C2314yes—
398#399C2312yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2312yes—
491#394C2312yes—
492#394C2312yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2312yes—
508#393C2312yes—
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#391C2312yes—
513#391C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#390C2314yes—
529#390C2312yes—
530#390C2314yes—
531#390C2314yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#386C2312yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2312yes—
617#386C2312yes—
618#386C2314yes—
619#386C2312yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2312yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
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#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#384C2312yes—
658#384C2311yescharacteristic
659#384C2311yescharacteristic
660#384C2314yes—
661#383C2314yes—
662#382C2314yes—
663#382C2314yes—
664#381C2314yes—
665#381C2314yes—
666#380C2312yes—
667#380C2314yes—
668#380C2312yes—
669#380C2314yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2312yes—
674#380C2312yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2312yes—
679#380C2314yes—
680#380C2312yes—
681#380C2312yes—
682#380C2312yes—
683#380C2312yes—
684#380C2311yescharacteristic
685#380C2311yescharacteristic
686#380C2314yes—
687#380C2314yes—
688#380C2312yes—
689#380C2314yes—
690#380C2312yes—
691#380C2314yes—
692#380C2314yes—
693#380C2314yes—
694#380C2314yes—
695#379C2314yes—
696#379C2312yes—
697#379C2314yes—
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2312yes—
717#376C2312yes—
718C2×#95C2312yes—
719C2×#95C2314yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C2×#95C2311yescharacteristic
723C2×#95C2311yescharacteristic
724C25C2412yes—
725C25C2411yescharacteristic
726C2×#41—28no—
727C2×#41—44no—
728C2×#41—44no—
729C22×Q8—24no—
730C22×Q8—42no—
731C22×Q8—44no—
732C22×Q8—42no—
733C22×Q8—44no—
734C22×Q8—44no—
735C22×Q8—44no—
736C22×Q8—44no—
737C22×Q8—44no—
738C22×Q8C2412yes—
739C22×Q8C2412yes—
740C22×Q8C2412yes—
741C22×Q8C2411yescharacteristic
742C22×Q8C2412yes—
743C22×Q8C2414yes—
744C22×Q8C2414yes—
745C22×D4—28no—
746C22×D4—24no—
747C22×D4—24no—
748C22×D4—42no—
749C22×D4—44no—
750C22×D4—82no—
751C22×D4C2412yes—
752C22×D4C2411yescharacteristic
753C22×D4C2412yes—
754C22×D4C2414yes—
755C22×D4C2411yescharacteristic
756C22×D4C2412yes—
757C22×D4C2412yes—
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2414yes—
762C23×C4—24no—
763C23×C4—28no—
764C23×C4—44no—
765C23×C4—42no—
766C23×C4—42no—
767C23×C4—82no—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2412yes—
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2412yes—
780C23×C4C2414yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2411yescharacteristic
789C4⋊Q8—48no—
790C4⋊Q8—44no—
791C4⋊Q8—44no—
792C4⋊Q8—42no—
793C4⋊Q8—44no—
794C4⋊Q8—44no—
795C4⋊Q8—42no—
796C4⋊Q8—48no—
797#126—48no—
798#126—84no—
799#125—84no—
800#124—28no—
801#124—28no—
802#124—44no—
803#124—44no—
804#124—44no—
805#124—48no—
806#124—48no—
807#123—48no—
808#123—48no—
809#123—48no—
810#123—48no—
811C22⋊Q8—28no—
812C22⋊Q8—28no—
813C22⋊Q8—24no—
814C22⋊Q8—28no—
815C22⋊Q8—28no—
816C22⋊Q8—48no—
817C22⋊Q8—48no—
818C22⋊Q8—48no—
819C22⋊Q8—48no—
820C22⋊Q8—48no—
821C22⋊Q8—48no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—48no—
825C22⋊Q8—48no—
826C22⋊Q8—44no—
827C22⋊Q8—44no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—82no—
833#121—28no—
834#121—24no—
835#121—44no—
836#121—48no—
837#121—48no—
838#121—48no—
839#121—44no—
840#121—44no—
841#121—84no—
842#121—82no—
843#120—28no—
844#120—48no—
845C4×Q8—28no—
846C4×Q8—42no—
847C4×Q8—44no—
848C4×Q8—44no—
849C4×D4—28no—
850C4×D4—24no—
851C4×D4—24no—
852C4×D4—48no—
853C4×D4—42no—
854C4×D4—42no—
855C4×D4—44no—
856C4×D4—42no—
857C4×D4—44no—
858C4×D4—44no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—48no—
862C4×D4—48no—
863C4×D4—84no—
864#117—44no—
865#117—44no—
866#117—82no—
867C2×C4⋊C4—24no—
868C2×C4⋊C4—42no—
869C2×C4⋊C4—44no—
870C2×C4⋊C4—48no—
871C2×C4⋊C4—44no—
872C2×C4⋊C4—44no—
873C2×C4⋊C4—82no—
874C2×C4⋊C4—82no—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C22⋊C4—24no—
936C2×C22⋊C4—24no—
937C2×C22⋊C4—44no—
938C2×C22⋊C4—44no—
939C2×C22⋊C4—44no—
940C2×C22⋊C4—48no—
941C2×C22⋊C4—44no—
942C2×C22⋊C4—44no—
943C2×C22⋊C4—48no—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C42—42no—
1001C2×C42—42no—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2411yescharacteristic
1006C2×C42C2412yes—
1007C2×C42C2411yescharacteristic
1008C2×C42C2412yes—
1009C2×C42C2414yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2414yes—
1014C2×C42C2414yes—
1015C2×C42C2412yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074C24—22no—
1075C24—22no—
1076C24—24no—
1077C24—24no—
1078C24—24no—
1079C24—24no—
1080C24—41no—
1081C24—42no—
1082C24—41no—
1083C24—42no—
1084C24—41no—
1085C24—42no—
1086C24—41no—
1087C242−1+414yes—
1088C24C2512yes—
1089C24C2512yes—
1090C24C2512yes—
1091C24C2512yes—
1092C24C2511yescharacteristic
1093#41—816no—
1094C2×Q8—24no—
1095C2×Q8—24no—
1096C2×Q8—24no—
1097C2×Q8—24no—
1098C2×Q8—24no—
1099C2×Q8—24no—
1100C2×Q8—24no—
1101C2×Q8—24no—
1102C2×Q8—24no—
1103C2×Q8—24no—
1104C2×Q8—22no—
1105C2×Q8—41no—
1106C2×Q8—42no—
1107C2×Q8—44no—
1108C2×Q8—44no—
1109C2×Q8—44no—
1110C2×Q8—44no—
1111C2×Q8—44no—
1112C2×Q8—44no—
1113C2×Q8—41no—
1114C2×Q8—42no—
1115C2×Q8—88no—
1116C2×Q8—816no—
1117C2×Q8—816no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—24no—
1127C2×D4—28no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—24no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—416no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—44no—
1139C2×D4—42no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—41no—
1146C2×D4—42no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—816no—
1152C2×D4H(5,𝔽2)14yes—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—24no—
1156C22×C4—24no—
1157C22×C4—28no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
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—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—24no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—42no—
1187C22×C4—44no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—42no—
1191C22×C4—44no—
1192C22×C4—41no—
1193C22×C4—44no—
1194C22×C4—41no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—44no—
1208C22×C4—41no—
1209C22×C4—44no—
1210C22×C4—41no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—88no—
1215C22×C4—816no—
1216C22×C4H(5,𝔽2)14yes—
1217C22×C42−1+414yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2514yes—
1232C22×C4C2514yes—
1233C22×C4C2514yes—
1234C22×C4C2514yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—24no—
1256C4⋊C4—41no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—41no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—41no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4H(5,𝔽2)14yes—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C42—24no—
1359C42—22no—
1360C42—22no—
1361C42—28no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—41no—
1366C42—41no—
1367C42—42no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—28no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—44no—
1404C23—44no—
1405C23—48no—
1406C23—48no—
1407C23—48no—
1408C23—48no—
1409C23—82no—
1410C23—84no—
1411C23—82no—
1412C23—84no—
1413C23—84no—
1414C23—82no—
1415C23—82no—
1416C23C2×H(5,𝔽2)14yes—
1417C23C2×H(5,𝔽2)12yes—
1418C23C2×2−1+414yes—
1419C23C2×2−1+412yes—
1420C23C2×2−1+412yes—
1421C23C2611yescharacteristic
1422Q8—48no—
1423Q8—48no—
1424Q8—48no—
1425Q8—82no—
1426Q8—84no—
1427Q8—88no—
1428Q8—88no—
1429D4—28no—
1430D4—48no—
1431D4—416no—
1432D4—48no—
1433D4—48no—
1434D4—44no—
1435D4—82no—
1436D4—84no—
1437D4—88no—
1438D4—88no—
1439D4—164no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—28no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—22no—
1465C2×C4—24no—
1466C2×C4—24no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—24no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—44no—
1507C2×C4—48no—
1508C2×C4—48no—
1509C2×C4—48no—
1510C2×C4—48no—
1511C2×C4—48no—
1512C2×C4—84no—
1513C2×C4—84no—
1514C2×C4—84no—
1515C2×C4—82no—
1516C2×C4—82no—
1517C2×C4—82no—
1518C2×C4—82no—
1519C2×C4—84no—
1520C2×C4—84no—
1521C2×C4—88no—
1522C2×C4—88no—
1523C2×C4—88no—
1524C2×C4—88no—
1525C2×C4—164no—
1526C2×C4C2×H(5,𝔽2)14yes—
1527C2×C4C2×H(5,𝔽2)12yes—
1528C2×C4C2×H(5,𝔽2)12yes—
1529C2×C4C2×H(5,𝔽2)12yes—
1530C2×C4C2×H(5,𝔽2)12yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—24no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—88no—
1568C22—816no—
1569C22#355214yes—
1570C22C22×H(5,𝔽2)11yescharacteristic
1571C22C22×H(5,𝔽2)11yescharacteristic
1572C22C22×H(5,𝔽2)11yescharacteristic
1573C22C22×2−1+411yescharacteristic
1574C22C22×2−1+411yescharacteristic
1575C22H(7,𝔽2)11yescharacteristic
1576C222−1+611yescharacteristic
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—24no—
1581C4—42no—
1582C4—42no—
1583C4—44no—
1584C4—44no—
1585C4—44no—
1586C4—42no—
1587C4—44no—
1588C4—44no—
1589C4—42no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—44no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4#353714yes—
1601C2—24no—
1602C2—44no—
1603C2—44no—
1604C2—82no—
1605C2—82no—
1606C2C2×#353711yescharacteristic
1607C2C2×#355211yescharacteristic
1608C2#6287811yescharacteristic
1609C2#6289311yescharacteristic
1610C2#6289411yescharacteristic
1611C2#6289411yescharacteristic
1612C2#6291511yescharacteristic
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. #58998C2semidirect
2. #58996C2semidirect
3. #58012C2semidirect
4. #55056C2semidirect
5. #54275C2semidirect
6. #53624C2semidirect
7. #53041C2semidirect
8. #52962C2semidirect
9. #52470C2semidirect
10. #45332C2semidirect
11. #45220C2semidirect
12. #42912C2semidirect
13. #42812C2semidirect
14. #42641C2semidirect
15. #42552C2semidirect
16. #40539C2semidirect
17. #39640C2semidirect
18. #39615C2semidirect
19. #38122C2semidirect
20. #37940C2semidirect
21. #37872C2semidirect
22. #37676C2semidirect
23. #37477C2semidirect
24. #36729C2semidirect
25. #36161C2semidirect
26. #36153C2semidirect
27. #35011C2semidirect
28. C2×#2427C2semidirect
29. #34570C2semidirect
30. C2×#556C22semidirect
32. C2×D4×Q8C22semidirect
34. C2×#547C22semidirect
36. C2×#536C22semidirect
47. #2841C22semidirect
48. #2841C22semidirect
49. #2838C22semidirect
50. #2838C22semidirect
51. #2837C22semidirect
52. #2830C22semidirect
53. #2827C22semidirect
54. #2827C22semidirect
55. #2827C22semidirect
56. #2824C22semidirect
57. #2821C22semidirect
58. #2817C22semidirect
59. #2806C22semidirect
60. #2805C22semidirect
61. #2802C22semidirect
62. #2796C22semidirect
63. #2793C22semidirect
64. #2787C22semidirect
65. #2784C22semidirect
66. #2783C22semidirect
67. #2782C22semidirect
68. #2780C22semidirect
69. #2778C22semidirect
70. #2776C22semidirect
71. #2774C22semidirect
72. #2770C22semidirect
73. #2765C22semidirect
74. #2750C22semidirect
75. #2748C22semidirect
76. #2747C22semidirect
77. #2746C22semidirect
78. #2742C22semidirect
79. #2741C22semidirect
80. #2734C22semidirect
81. #2732C22semidirect
82. #2729C22semidirect
83. #2725C22semidirect
84. #2723C22semidirect
85. #2723C22semidirect
86. #2717C22semidirect
87. #2717C22semidirect
88. #2711C22semidirect
89. #2708C22semidirect
90. #2708C22semidirect
91. #2702C22semidirect
92. #2692C22semidirect
93. #2692C22semidirect
94. #2691C22semidirect
95. #2691C22semidirect
96. #2688C22semidirect
97. #2683C22semidirect
99. #2681C22semidirect
100. #2680C22semidirect
101. #2677C22semidirect
103. #2674C22semidirect
104. #2674C22semidirect
105. #2674C22semidirect
106. #2672C22semidirect
107. #2672C22semidirect
108. #2672C22semidirect
112. #2659C22semidirect
113. #2658C22semidirect
114. #2653C22semidirect
115. #2652C22semidirect
116. #2649C22semidirect
117. #2649C22semidirect
118. #2648C22semidirect
121. #2646C22semidirect
122. #2645C22semidirect
125. #2638C22semidirect
126. #2636C22semidirect
127. #2636C22semidirect
128. #2629C22semidirect
129. #2628C22semidirect
131. #2625C22semidirect
133. #2620C22semidirect
135. #2598C22semidirect
136. #2583C22semidirect
137. #2583C22semidirect
138. #2579C22semidirect
139. #2578C22semidirect
141. #2568C22semidirect
143. #2564C22semidirect
144. #2547C22semidirect
145. #2547C22semidirect
146. #2547C22semidirect
147. #2546C22semidirect
148. #2545C22semidirect
149. #2542C22semidirect
151. #2538C22semidirect
152. #2537C22semidirect
153. #2511C22semidirect
155. #2506C22semidirect
157. #2502C22semidirect
158. #2502C22semidirect
159. #2496C22semidirect
160. #2486C22semidirect
161. #2485C22semidirect
164. #2476C22semidirect
166. #2466C22semidirect
167. #2464C22semidirect
168. #2460C22semidirect
169. #2455C22semidirect
170. #2450C22semidirect
172. #2449C22semidirect
173. #2449C22semidirect
174. #2447C22semidirect
175. #2446C22semidirect
176. #2446C22semidirect
177. #2446C22semidirect
180. #2442C22semidirect
182. #2440C22semidirect
183. #2440C22semidirect
189. #2436C22semidirect
192. #2434C22semidirect
193. #2434C22semidirect
194. #2434C22semidirect
195. #2434C22semidirect
196. #2432C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
207. #2427C22semidirect
209. #2425C22semidirect
210. #2423C22semidirect
215. #2417C22semidirect
218. #2416C22semidirect
219. #2415C22semidirect
222. #2409C22semidirect
223. #2409C22semidirect
225. #2401C22semidirect
226. #2398C22semidirect
227. #2395C22semidirect
228. #2392C22semidirect
231. #2367C22semidirect
235. #2360C22semidirect
237. #2354C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2339C22semidirect
242. #2326C22semidirect
244. #2323C22semidirect
245. #2320C22semidirect

Maximal subgroups

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

subgroupindex
#589982
#589962
#580122
#550562
#542752
#536242
#530412
#529622
#524702
#453322
#452202
#429122
#428122
#426412
#425522
#405392
#396402
#396152
#381222
#379402
#378722
#376762
#374772
#367292
#361612
#361532
#350112
C2×#24272
#345702