Finite Group Databasebeta

← #7655953

Subgroups — #7655953

Order 512.

5700 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42767C212yesmaximal, complemented
2#42715C212yesmaximal, complemented
3#42591C212yesmaximal, complemented
4#42552C212yesmaximal, complemented
5#41532C214yesmaximal, complemented
6#41470C214yesmaximal, complemented
7#40845C214yesmaximal, complemented
8#40701C214yesmaximal, complemented
9#39640C211yesmaximal, characteristic, complemented
10#39632C211yesmaximal, characteristic, complemented
11#38928C212yesmaximal, complemented
12#38065C214yesmaximal, complemented
13#37891C212yesmaximal, complemented
14#37881C212yesmaximal, complemented
15#37495C212yesmaximal, complemented
16#37482C214yesmaximal, complemented
17#36213C212yesmaximal, complemented
18#36154C211yesmaximal, characteristic, complemented
19#36153C211yesmaximal, characteristic, complemented
20#36042C212yesmaximal, complemented
21#36020C212yesmaximal, complemented
22#35998C212yesmaximal, complemented
23#35888C212yesmaximal, complemented
24#35014C211yesmaximal, characteristic, complemented
25#34997C212yesmaximal, complemented
26#34570C211yesmaximal, characteristic, complemented
27C2×#2646C212yesmaximal, complemented
28#34288C212yesmaximal, complemented
29C2×#2339C211yesmaximal, characteristic, complemented
30C23×#41C2211yescharacteristic
31C2×#554C2211yescharacteristic, complemented
32C2×#547C2212yes—
33C2×#547C2212yes—
34C2×#547C2211yescharacteristic, complemented
35C2×#546C2212yes—
36C2×#520C2212yescomplemented
37C22×C4×D4C2211yescharacteristic
38C22×C4×D4C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2849C2214yes—
42#2848C2212yes—
43#2848C2212yes—
44#2847C2212yes—
45#2833C2214yescomplemented
46#2831C2214yescomplemented
47#2827C2214yescomplemented
48#2827C2214yescomplemented
49#2826C2214yescomplemented
50#2824C2214yescomplemented
51#2806C2212yescomplemented
52#2806C2212yescomplemented
53#2805C2212yescomplemented
54#2804C2212yescomplemented
55#2788C2214yescomplemented
56#2781C2214yescomplemented
57#2779C2214yescomplemented
58#2778C2214yescomplemented
59#2774C2214yescomplemented
60#2771C2214yescomplemented
61#2770C2214yescomplemented
62#2768C2214yescomplemented
63#2765C2214yescomplemented
64#2765C2214yescomplemented
65#2764C2214yescomplemented
66#2761C2214yescomplemented
67#2756C2214yescomplemented
68#2751C2214yescomplemented
69#2750C2214yescomplemented
70#2750C2214yescomplemented
71#2743C2214yescomplemented
72#2741C2214yescomplemented
73#2741C2214yescomplemented
74#2703C2214yescomplemented
75#2702C2214yescomplemented
76#2695C2214yescomplemented
77#2666C2214yescomplemented
78#2653C2212yescomplemented
79#2653C2214yescomplemented
80#2652C2212yescomplemented
81#2650C2214yescomplemented
82#2649C2212yescomplemented
83#2649C2214yescomplemented
84#2648C2212yescomplemented
85#2646C2212yes—
86#2646C2211yescharacteristic
87#2646C2214yes—
88#2646C2214yes—
89#2646C2212yes—
90#2646C2212yes—
91#2646C2214yescomplemented
92#2646C2214yescomplemented
93#2646C2214yescomplemented
94#2646C2214yescomplemented
95#2645C2212yescomplemented
96#2643C2212yes—
97#2643C2214yes—
98#2643C2214yescomplemented
99#2642C2212yescomplemented
100#2639C2211yescharacteristic
101#2639C2214yescomplemented
102#2636C2214yescomplemented
103#2630C2214yescomplemented
104#2626C2211yescharacteristic
105#2626C2212yes—
106#2625C2212yescomplemented
107#2623C2214yescomplemented
108#2622C2212yes—
109#2621C2212yescomplemented
110#2618C2214yescomplemented
111#2617C2211yescharacteristic
112#2591C2214yescomplemented
113#2589C2214yescomplemented
114#2587C2214yescomplemented
115#2568C2212yescomplemented
116#2563C2211yescharacteristic, complemented
117#2562C2212yescomplemented
118#2547C2211yescharacteristic, complemented
119#2546C2212yescomplemented
120#2543C2214yescomplemented
121#2538C2211yescharacteristic, complemented
122#2537C2211yescharacteristic, complemented
123#2536C2212yescomplemented
124#2514C2212yescomplemented
125#2511C2212yescomplemented
126#2511C2212yescomplemented
127#2510C2214yes—
128#2510C2214yescomplemented
129#2510C2214yescomplemented
130#2505C2214yes—
131#2505C2214yes—
132#2505C2214yescomplemented
133#2503C2214yescomplemented
134#2502C2212yescomplemented
135#2498C2214yescomplemented
136#2497C2212yescomplemented
137#2496C2212yescomplemented
138#2495C2212yescomplemented
139#2493C2214yescomplemented
140#2493C2214yescomplemented
141#2493C2214yescomplemented
142#2492C2212yescomplemented
143#2492C2212yescomplemented
144#2489C2212yescomplemented
145#2489C2212yescomplemented
146#2488C2214yescomplemented
147#2488C2214yescomplemented
148#2488C2214yescomplemented
149#2488C2214yescomplemented
150#2487C2212yescomplemented
151#2486C2212yescomplemented
152#2486C2212yescomplemented
153#2486C2214yescomplemented
154#2484C2214yescomplemented
155#2481C2214yescomplemented
156#2481C2214yescomplemented
157#2480C2214yes—
158#2454C2212yescomplemented
159#2450C2214yes—
160#2450C2214yescomplemented
161#2450C2214yescomplemented
162#2446C2212yescomplemented
163#2446C2212yescomplemented
164#2444C2214yescomplemented
165#2443C2214yescomplemented
166#2443C2214yescomplemented
167#2442C2212yes—
168#2437C2214yes—
169#2434C2212yes—
170#2432C2212yes—
171#2432C2212yes—
172#2430C2214yes—
173#2430C2214yes—
174#2429C2212yescomplemented
175#2429C2212yescomplemented
176#2427C2212yescomplemented
177#2425C2214yescomplemented
178#2425C2214yescomplemented
179#2425C2214yescomplemented
180#2423C2212yescomplemented
181#2423C2212yescomplemented
182#2419C2214yescomplemented
183#2419C2214yescomplemented
184#2418C2214yes—
185#2417C2212yes—
186#2417C2212yescomplemented
187#2417C2212yescomplemented
188#2417C2212yescomplemented
189#2416C2212yescomplemented
190#2413C2214yescomplemented
191#2413C2214yescomplemented
192#2412C2214yes—
193#2410C2214yes—
194#2409C2212yes—
195#2407C2212yes—
196#2407C2212yes—
197#2406C2214yes—
198#2406C2214yes—
199#2405C2214yes—
200#2401C2212yescomplemented
201#2398C2212yescomplemented
202#2395C2212yescomplemented
203C2×#400C2214yescomplemented
204C2×#400C2214yescomplemented
205#2392C2212yescomplemented
206C2×#398C2214yescomplemented
207C2×#398C2214yescomplemented
208#2367C2212yescomplemented
209#2361C2212yescomplemented
210#2361C2214yescomplemented
211#2360C2212yes—
212#2359C2214yescomplemented
213#2358C2214yes—
214#2349C2212yescomplemented
215D4×C4⋊C4C2212yes—
216D4×C4⋊C4C2211yescharacteristic, complemented
217D4×C4⋊C4C2212yescomplemented
218D4×C4⋊C4C2211yescharacteristic, complemented
219#2342C2214yes—
220#2339C2212yes—
221#2339C2212yes—
222#2339C2212yes—
223#2339C2212yes—
224#2339C2214yes—
225#2339C2212yes—
226#2339C2214yes—
227#2339C2212yes—
228#2339C2212yescomplemented
229#2339C2212yescomplemented
230D4×C22⋊C4C2212yes—
231#2329C2212yes—
232#2329C2212yes—
233#2326C2212yescomplemented
234#2325C2212yes—
235#2325C2214yescomplemented
236#2324C2212yescomplemented
237#2322C2214yescomplemented
238#2318C2214yes—
239#2312C2212yes—
240C4×C22⋊Q8C2211yescharacteristic
241C4×C22⋊Q8C2212yes—
242C4×#121C2211yescharacteristic
243C4×#120C2212yes—
244C4×#120C2214yes—
245C2×#391C2211yescharacteristic
246C2×#391C2211yescharacteristic
247#2290C2212yes—
248C2×#386C2212yes—
249C2×#386C2212yes—
250C2×#385C2214yes—
251C2×#385C2214yes—
252C2×#381C2212yes—
253C2×#380C2212yes—
254C2×#380C2212yes—
255C2×#380C2211yescharacteristic
256#2275C2212yescomplemented
257C2×C4×C22⋊C4C2211yescharacteristic
258C22×#95C2212yes—
259C22×#41—28no—
260C22×#41—44no—
261C22×#41—44no—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C22×#41C2314yes—
265C22×#41C2312yes—
266C23×Q8C2311yescharacteristic
267C23×D4C2311yescharacteristic
268C23×D4C2312yes—
269C24×C4C2311yescharacteristic
270C24×C4C2312yes—
271C24×C4C2312yes—
272C24×C4C2312yes—
273#554—44no—
274#547—48no—
275#547—48no—
276#547—44no—
277#546—216no—
278C2×C4⋊Q8C2311yescharacteristic
279C2×C4⋊Q8C2312yes—
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2312yes—
282C2×#126C2314yes—
283C2×#125C2312yes—
284C2×#124C2312yes—
285C2×#123C2314yes—
286C2×#123C2314yes—
287C2×#123C2314yes—
288C2×#123C2314yes—
289C2×#123C2314yes—
290C2×#123C2314yes—
291C2×#123C2314yes—
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2312yes—
294C2×C22⋊Q8C2312yes—
295C2×C22⋊Q8C2312yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2312yes—
298C2×C22⋊Q8C2312yes—
299C2×C22⋊Q8C2312yes—
300C2×C22⋊Q8C2312yes—
301C2×C22⋊Q8C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×#121C2312yes—
304C2×#121C2311yescharacteristic
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#120C2314yes—
311C2×#120C2312yes—
312#520—48no—
313C2×C4×Q8C2311yescharacteristic
314C2×C4×Q8C2312yes—
315C2×C4×Q8C2312yes—
316C2×C4×D4—44no—
317C2×C4×D4—44no—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2312yes—
325C2×C4×D4C2312yes—
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2314yes—
328C2×C4×D4C2314yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2314yes—
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2314yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×#117C2312yes—
339C2×#117C2314yes—
340C22×C4⋊C4C2314yes—
341C22×C4⋊C4C2312yes—
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C4⋊C4C2314yes—
345C22×C4⋊C4C2312yes—
346C22×C4⋊C4C2314yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2314yes—
349C22×C4⋊C4C2312yes—
350C22×C4⋊C4C2312yes—
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2314yes—
353C22×C22⋊C4C2314yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360#401C2314yes—
361#401C2314yes—
362#401C2312yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2312yes—
383#400C2314yes—
384#400C2312yes—
385#400C2312yes—
386#400C2312yes—
387#400C2312yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2314yes—
398#399C2312yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2312yes—
411#398C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2312yes—
449#396C2312yes—
450#396C2312yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#394C2314yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2312yes—
477#392C2314yes—
478#392C2314yes—
479#392C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2314yes—
500#390C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2314yes—
519#389C2311yescharacteristic
520#389C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2312yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2312yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2312yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#387C2314yes—
545#387C2314yes—
546#387C2314yes—
547#387C2312yes—
548#387C2312yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2314yes—
553#387C2314yes—
554#387C2314yes—
555#387C2314yes—
556#387C2312yes—
557#387C2314yes—
558#387C2314yes—
559#387C2314yes—
560#387C2314yes—
561#387C2314yes—
562#386C2314yes—
563#386C2314yes—
564#386C2314yes—
565#386C2312yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yes—
587#386C2314yes—
588#386C2314yes—
589#386C2312yes—
590#386C2312yes—
591#386C2312yes—
592#386C2314yes—
593#386C2312yes—
594#386C2312yes—
595#385C2314yes—
596#385C2314yes—
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yes—
611#385C2314yes—
612#385C2312yes—
613#385C2314yes—
614#385C2314yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2312yes—
620#385C2312yes—
621#385C2314yes—
622#385C2314yes—
623#385C2312yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2312yes—
631#385C2312yes—
632#384C2312yes—
633#384C2311yescharacteristic
634#384C2311yescharacteristic
635#383C2314yes—
636#383C2314yes—
637#382C2312yes—
638#382C2314yes—
639#382C2314yes—
640#382C2314yes—
641#381C2314yes—
642#381C2314yes—
643#381C2314yes—
644#381C2314yes—
645#381C2314yes—
646#381C2314yes—
647#381C2314yes—
648#381C2314yes—
649#381C2314yes—
650#380C2312yes—
651#380C2312yes—
652#380C2312yes—
653#380C2312yes—
654#380C2312yes—
655#380C2312yes—
656#380C2312yes—
657#380C2312yes—
658#380C2314yes—
659#380C2314yes—
660#380C2312yes—
661#380C2312yes—
662#380C2312yes—
663#380C2312yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2314yes—
668#380C2314yes—
669#380C2311yescharacteristic
670#380C2311yescharacteristic
671#380C2314yes—
672#380C2314yes—
673#380C2314yes—
674#380C2312yes—
675#380C2314yes—
676#380C2314yes—
677#380C2312yes—
678#380C2312yes—
679#379C2314yes—
680#379C2314yes—
681#379C2312yes—
682C4×C4⋊C4C2312yes—
683C4×C4⋊C4C2311yescharacteristic
684C4×C4⋊C4C2312yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2312yes—
688C4×C4⋊C4C2311yescharacteristic
689C4×C4⋊C4C2312yes—
690C4×C22⋊C4C2314yes—
691C4×C22⋊C4C2314yes—
692C4×C22⋊C4C2314yes—
693C4×C22⋊C4C2312yes—
694C4×C22⋊C4C2312yes—
695C4×C22⋊C4C2314yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2312yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2312yes—
701C4×C22⋊C4C2312yes—
702C4×C22⋊C4C2312yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705#376C2312yes—
706C2×#95C2312yes—
707C2×#95C2312yes—
708C2×#95C2314yes—
709C2×#95C2311yescharacteristic
710C2×#95C2314yes—
711C2×#95C2314yes—
712C2×#95C2314yes—
713C2×#95C2314yes—
714C2×#95C2314yes—
715C2×#95C2314yes—
716C2×#95C2314yes—
717C2×#95C2314yes—
718C2×#95C2314yes—
719C2×#95C2311yescharacteristic
720C2×#95C2312yes—
721C2×#95C2312yes—
722C2×#95C2312yes—
723C25C2412yes—
724C25C2411yescharacteristic
725C2×#41—28no—
726C2×#41—216no—
727C2×#41—28no—
728C2×#41—28no—
729C2×#41—28no—
730C2×#41—28no—
731C2×#41—28no—
732C2×#41—28no—
733C2×#41—48no—
734C2×#41—48no—
735C2×#41—44no—
736C2×#41—44no—
737C2×#41—464no—
738C22×Q8—24no—
739C22×Q8—42no—
740C22×Q8—42no—
741C22×Q8C2412yes—
742C22×Q8C2412yes—
743C22×Q8C2411yescharacteristic
744C22×Q8C2412yes—
745C22×Q8C2412yes—
746C22×D4—24no—
747C22×D4—24no—
748C22×D4—28no—
749C22×D4—44no—
750C22×D4—44no—
751C22×D4#4118yes—
752C22×D4C2412yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2412yes—
756C22×D4C2411yescharacteristic
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C22×D4C2414yes—
760C22×D4C2412yes—
761C22×D4C2412yes—
762C22×D4C2411yescharacteristic
763C23×C4—28no—
764C23×C4—24no—
765C23×C4—28no—
766C23×C4—42no—
767C23×C4—42no—
768C23×C4—44no—
769C23×C4—44no—
770C23×C4—44no—
771C23×C4—44no—
772C23×C4—44no—
773C23×C4—82no—
774C23×C4—82no—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2412yes—
780C23×C4C2412yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2411yescharacteristic
790C23×C4C2414yes—
791C23×C4C2412yes—
792C23×C4C2412yes—
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2414yes—
796C23×C4C2412yes—
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2411yescharacteristic
800C4⋊Q8—42no—
801C4⋊Q8—42no—
802C4⋊Q8—44no—
803C4⋊Q8—44no—
804#126—84no—
805#125—44no—
806#124—28no—
807#123—216no—
808#123—48no—
809#123—48no—
810#123—48no—
811#123—48no—
812#123—48no—
813#123—84no—
814C22⋊Q8—28no—
815C22⋊Q8—24no—
816C22⋊Q8—44no—
817C22⋊Q8—48no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—44no—
821C22⋊Q8—44no—
822C22⋊Q8—44no—
823C22⋊Q8—44no—
824C22⋊Q8—82no—
825#121—28no—
826#121—216no—
827#121—24no—
828#121—44no—
829#121—48no—
830#121—48no—
831#121—82no—
832#120—216no—
833#120—44no—
834C4×Q8—42no—
835C4×Q8—44no—
836C4×Q8—44no—
837C4×D4—28no—
838C4×D4—28no—
839C4×D4—24no—
840C4×D4—24no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—44no—
845C4×D4—42no—
846C4×D4—42no—
847C4×D4—42no—
848C4×D4—44no—
849C4×D4—44no—
850C4×D4—48no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—48no—
854C4×D4—48no—
855C4×D4—48no—
856C4×D4—84no—
857#117—44no—
858#117—48no—
859C2×C4⋊C4—42no—
860C2×C4⋊C4—42no—
861C2×C4⋊C4—44no—
862C2×C4⋊C4—48no—
863C2×C4⋊C4—48no—
864C2×C4⋊C4—44no—
865C2×C4⋊C4—48no—
866C2×C4⋊C4—44no—
867C2×C4⋊C4—84no—
868C2×C4⋊C4—82no—
869C2×C4⋊C4—82no—
870C2×C4⋊C4C2412yes—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2411yescharacteristic
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2412yes—
881C2×C4⋊C4C2412yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C22⋊C4—216no—
925C2×C22⋊C4—24no—
926C2×C22⋊C4—48no—
927C2×C22⋊C4—44no—
928C2×C22⋊C4—44no—
929C2×C22⋊C4—42no—
930C2×C22⋊C4—82no—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C42—42no—
984C2×C42—42no—
985C2×C42C2412yes—
986C2×C42C2412yes—
987C2×C42C2411yescharacteristic
988C2×C42C2412yes—
989C2×C42C2411yescharacteristic
990C2×C42C2412yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2412yes—
994C2×C42C2411yescharacteristic
995C2×C42C2411yescharacteristic
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2412yes—
1008#95C2412yes—
1009#95C2412yes—
1010#95C2412yes—
1011#95C2412yes—
1012#95C2412yes—
1013#95C2412yes—
1014#95C2412yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065C24—24no—
1066C24—24no—
1067C24—24no—
1068C24—24no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—42no—
1073C24—42no—
1074C24—41no—
1075C24—41no—
1076C24—41no—
1077C24—41no—
1078C24C2×#4118yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2511yescharacteristic
1084#41—464no—
1085#41—432no—
1086#41—432no—
1087#41—432no—
1088C2×Q8—24no—
1089C2×Q8—24no—
1090C2×Q8—24no—
1091C2×Q8—24no—
1092C2×Q8—24no—
1093C2×Q8—24no—
1094C2×Q8—24no—
1095C2×Q8—22no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—42no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—416no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—232no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—28no—
1118C2×D4—22no—
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—41no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—44no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—41no—
1130C2×D4—42no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—432no—
1134C2×D4C2×#4118yes—
1135C2×D4C2×#4114yes—
1136C2×D4C2×#4114yes—
1137C2×D4H(5,𝔽2)14yes—
1138C2×D4H(5,𝔽2)14yes—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—28no—
1142C22×C4—22no—
1143C22×C4—24no—
1144C22×C4—28no—
1145C22×C4—28no—
1146C22×C4—28no—
1147C22×C4—28no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—22no—
1153C22×C4—28no—
1154C22×C4—28no—
1155C22×C4—28no—
1156C22×C4—28no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—24no—
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—42no—
1175C22×C4—42no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—41no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—41no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—416no—
1213C22×C4—432no—
1214C22×C4—816no—
1215C22×C4—816no—
1216C22×C4C2×#4114yes—
1217C22×C42−1+414yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2514yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2514yes—
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2512yes—
1235C22×C4C2514yes—
1236C22×C4C2514yes—
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—42no—
1254C4⋊C4—44no—
1255C4⋊C4—41no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—41no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—42no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C22⋊C4—24no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—44no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C42—24no—
1349C42—24no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—41no—
1355C42—41no—
1356C42—42no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42—44no—
1362C23—21no—
1363C23—21no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—21no—
1368C23—22no—
1369C23—21no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—216no—
1377C23—216no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—48no—
1393C23—48no—
1394C23—48no—
1395C23—48no—
1396C23—48no—
1397C23—44no—
1398C23—44no—
1399C23—44no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23C22×#4114yes—
1405C23C22×#4114yes—
1406C23C22×#4112yes—
1407C23C2×H(5,𝔽2)14yes—
1408C23C2×H(5,𝔽2)14yes—
1409C23C2×2−1+412yes—
1410C23#58512yes—
1411C23C2611yescharacteristic
1412Q8—48no—
1413Q8—48no—
1414Q8—48no—
1415Q8—82no—
1416Q8—162no—
1417D4—216no—
1418D4—28no—
1419D4—416no—
1420D4—416no—
1421D4—416no—
1422D4—48no—
1423D4—82no—
1424D4—88no—
1425D4—84no—
1426D4—84no—
1427D4#538116yes—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—28no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—22no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—24no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—44no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—44no—
1500C2×C4—48no—
1501C2×C4—416no—
1502C2×C4—44no—
1503C2×C4—416no—
1504C2×C4—416no—
1505C2×C4—48no—
1506C2×C4—48no—
1507C2×C4—84no—
1508C2×C4—84no—
1509C2×C4—88no—
1510C2×C4—88no—
1511C2×C4—82no—
1512C2×C4—88no—
1513C2×C4—82no—
1514C2×C4—84no—
1515C2×C4—88no—
1516C2×C4—84no—
1517C2×C4—88no—
1518C2×C4—164no—
1519C2×C4C22×#4112yes—
1520C2×C4C22×#4112yes—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×H(5,𝔽2)12yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4C2×2−1+412yes—
1525C22—24no—
1526C22—24no—
1527C22—22no—
1528C22—24no—
1529C22—22no—
1530C22—22no—
1531C22—24no—
1532C22—24no—
1533C22—22no—
1534C22—22no—
1535C22—24no—
1536C22—22no—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—432no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
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—88no—
1560C22C2×#53818yes—
1561C22#351514yes—
1562C22C23×#4111yescharacteristic
1563C22C22×H(5,𝔽2)11yescharacteristic
1564C22C22×H(5,𝔽2)11yescharacteristic
1565C22C22×2−1+411yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22H(7,𝔽2)11yescharacteristic
1568C222−1+611yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—42no—
1573C4—42no—
1574C4—44no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—44no—
1582C4—41no—
1583C4—42no—
1584C4—44no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—44no—
1591C4—44no—
1592C4C2×#53814yes—
1593C2—24no—
1594C2—28no—
1595C2—44no—
1596C2—82no—
1597C2—82no—
1598C2C22×#53811yescharacteristic
1599C2C2×#351511yescharacteristic
1600C2#6284711yescharacteristic
1601C2#6289411yescharacteristic
1602C2#6289611yescharacteristic
1603C2#6289811yescharacteristic
1604C2#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. #42767C2semidirect
2. #42715C2semidirect
3. #42591C2semidirect
4. #42552C2semidirect
5. #41532C2semidirect
6. #41470C2semidirect
7. #40845C2semidirect
8. #40701C2semidirect
9. #39640C2semidirect
10. #39632C2semidirect
11. #38928C2semidirect
12. #38065C2semidirect
13. #37891C2semidirect
14. #37881C2semidirect
15. #37495C2semidirect
16. #37482C2semidirect
17. #36213C2semidirect
18. #36154C2semidirect
19. #36153C2semidirect
20. #36042C2semidirect
21. #36020C2semidirect
22. #35998C2semidirect
23. #35888C2semidirect
24. #35014C2semidirect
25. #34997C2semidirect
26. #34570C2semidirect
27. C2×#2646C2semidirect
28. #34288C2semidirect
29. C2×#2339C2semidirect
31. C2×#554C22semidirect
34. C2×#547C22semidirect
36. C2×#520C22semidirect
45. #2833C22semidirect
46. #2831C22semidirect
47. #2827C22semidirect
48. #2827C22semidirect
49. #2826C22semidirect
50. #2824C22semidirect
51. #2806C22semidirect
52. #2806C22semidirect
53. #2805C22semidirect
54. #2804C22semidirect
55. #2788C22semidirect
56. #2781C22semidirect
57. #2779C22semidirect
58. #2778C22semidirect
59. #2774C22semidirect
60. #2771C22semidirect
61. #2770C22semidirect
62. #2768C22semidirect
63. #2765C22semidirect
64. #2765C22semidirect
65. #2764C22semidirect
66. #2761C22semidirect
67. #2756C22semidirect
68. #2751C22semidirect
69. #2750C22semidirect
70. #2750C22semidirect
71. #2743C22semidirect
72. #2741C22semidirect
73. #2741C22semidirect
74. #2703C22semidirect
75. #2702C22semidirect
76. #2695C22semidirect
77. #2666C22semidirect
78. #2653C22semidirect
79. #2653C22semidirect
80. #2652C22semidirect
81. #2650C22semidirect
82. #2649C22semidirect
83. #2649C22semidirect
84. #2648C22semidirect
91. #2646C22semidirect
92. #2646C22semidirect
93. #2646C22semidirect
94. #2646C22semidirect
95. #2645C22semidirect
98. #2643C22semidirect
99. #2642C22semidirect
101. #2639C22semidirect
102. #2636C22semidirect
103. #2630C22semidirect
106. #2625C22semidirect
107. #2623C22semidirect
109. #2621C22semidirect
110. #2618C22semidirect
112. #2591C22semidirect
113. #2589C22semidirect
114. #2587C22semidirect
115. #2568C22semidirect
116. #2563C22semidirect
117. #2562C22semidirect
118. #2547C22semidirect
119. #2546C22semidirect
120. #2543C22semidirect
121. #2538C22semidirect
122. #2537C22semidirect
123. #2536C22semidirect
124. #2514C22semidirect
125. #2511C22semidirect
126. #2511C22semidirect
128. #2510C22semidirect
129. #2510C22semidirect
132. #2505C22semidirect
133. #2503C22semidirect
134. #2502C22semidirect
135. #2498C22semidirect
136. #2497C22semidirect
137. #2496C22semidirect
138. #2495C22semidirect
139. #2493C22semidirect
140. #2493C22semidirect
141. #2493C22semidirect
142. #2492C22semidirect
143. #2492C22semidirect
144. #2489C22semidirect
145. #2489C22semidirect
146. #2488C22semidirect
147. #2488C22semidirect
148. #2488C22semidirect
149. #2488C22semidirect
150. #2487C22semidirect
151. #2486C22semidirect
152. #2486C22semidirect
153. #2486C22semidirect
154. #2484C22semidirect
155. #2481C22semidirect
156. #2481C22semidirect
158. #2454C22semidirect
160. #2450C22semidirect
161. #2450C22semidirect
162. #2446C22semidirect
163. #2446C22semidirect
164. #2444C22semidirect
165. #2443C22semidirect
166. #2443C22semidirect
174. #2429C22semidirect
175. #2429C22semidirect
176. #2427C22semidirect
177. #2425C22semidirect
178. #2425C22semidirect
179. #2425C22semidirect
180. #2423C22semidirect
181. #2423C22semidirect
182. #2419C22semidirect
183. #2419C22semidirect
186. #2417C22semidirect
187. #2417C22semidirect
188. #2417C22semidirect
189. #2416C22semidirect
190. #2413C22semidirect
191. #2413C22semidirect
200. #2401C22semidirect
201. #2398C22semidirect
202. #2395C22semidirect
203. C2×#400C22semidirect
204. C2×#400C22semidirect
205. #2392C22semidirect
206. C2×#398C22semidirect
207. C2×#398C22semidirect
208. #2367C22semidirect
209. #2361C22semidirect
210. #2361C22semidirect
212. #2359C22semidirect
214. #2349C22semidirect
216. D4×C4⋊C4C22semidirect
217. D4×C4⋊C4C22semidirect
218. D4×C4⋊C4C22semidirect
228. #2339C22semidirect
229. #2339C22semidirect
233. #2326C22semidirect
235. #2325C22semidirect
236. #2324C22semidirect
237. #2322C22semidirect
256. #2275C22semidirect

Maximal subgroups

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

subgroupindex
#427672
#427152
#425912
#425522
#415322
#414702
#408452
#407012
#396402
#396322
#389282
#380652
#378912
#378812
#374952
#374822
#362132
#361542
#361532
#360422
#360202
#359982
#358882
#350142
#349972
#345702
C2×#26462
#342882
C2×#23392