Finite Group Databasebeta

← #7801165

Subgroups — #7801165

Order 512.

5374 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59277C212yesmaximal, complemented
2#59273C212yesmaximal, complemented
3#49677C214yesmaximal, complemented
4#49663C214yesmaximal, complemented
5#48547C214yesmaximal, complemented
6#48539C214yesmaximal, complemented
7#45350C211yesmaximal, characteristic, complemented
8#45271C211yesmaximal, characteristic, complemented
9#45056C211yesmaximal, characteristic, complemented
10#44937C211yesmaximal, characteristic, complemented
11#43994C214yesmaximal, complemented
12#43976C214yesmaximal, complemented
13#43106C214yesmaximal, complemented
14#43009C214yesmaximal, complemented
15#40099C212yesmaximal, complemented
16#39756C211yesmaximal, characteristic, complemented
17#39617C211yesmaximal, characteristic, complemented
18#39404C212yesmaximal, complemented
19#37874C212yesmaximal, complemented
20#37751C212yesmaximal, complemented
21#37292C212yesmaximal, complemented
22#36179C211yesmaximal, characteristic, complemented
23#36135C211yesmaximal, characteristic, complemented
24#35836C211yesmaximal, characteristic, complemented
25#35748C211yesmaximal, characteristic, complemented
26#35730C211yesmaximal, characteristic, complemented
27#35693C211yesmaximal, characteristic, complemented
28#35294C211yesmaximal, characteristic, complemented
29#34879C211yesmaximal, characteristic, complemented
30#34384C212yesmaximal, complemented
31#34275C211yesmaximal, characteristic, complemented
32C2×Q82C2211yescharacteristic, complemented
33C2×#554C2211yescharacteristic
34C2×#551C2214yes—
35C2×#547C2211yescharacteristic
36C2×#547C2214yescomplemented
37C2×#547C2211yescharacteristic, complemented
38C2×#539C2214yescomplemented
39C2×#535C2211yescharacteristic
40C2×#529C2212yes—
41C2×#520C2211yescharacteristic
42C2×#518C2211yescharacteristic
43#2868C2211yescharacteristic, complemented
44#2859C2211yescharacteristic, complemented
45#2859C2212yescomplemented
46#2856C2212yes—
47#2851C2212yescomplemented
48#2808C2214yescomplemented
49#2792C2214yescomplemented
50#2791C2214yescomplemented
51#2790C2214yes—
52#2777C2214yescomplemented
53#2773C2214yescomplemented
54#2761C2214yescomplemented
55#2757C2214yescomplemented
56#2741C2214yescomplemented
57#2740C2214yes—
58#2737C2214yescomplemented
59#2729C2214yescomplemented
60#2728C2214yescomplemented
61#2727C2214yescomplemented
62#2723C2214yes—
63#2723C2214yescomplemented
64#2723C2214yescomplemented
65#2721C2214yescomplemented
66#2720C2214yes—
67#2718C2214yescomplemented
68#2706C2214yes—
69#2706C2214yes—
70#2706C2214yescomplemented
71#2701C2214yescomplemented
72#2698C2214yescomplemented
73#2696C2214yescomplemented
74#2694C2214yescomplemented
75#2694C2214yescomplemented
76#2691C2214yes—
77#2691C2214yescomplemented
78#2687C2214yescomplemented
79#2686C2214yescomplemented
80#2685C2214yes—
81#2681C2214yescomplemented
82#2678C2214yes—
83#2677C2214yescomplemented
84#2677C2214yescomplemented
85#2674C2214yescomplemented
86#2672C2214yescomplemented
87#2671C2214yes—
88#2667C2214yescomplemented
89#2660C2212yescomplemented
90#2641C2212yes—
91#2638C2212yes—
92#2638C2212yes—
93#2633C2214yescomplemented
94#2629C2212yes—
95#2628C2211yescharacteristic
96#2628C2211yescharacteristic
97#2628C2212yescomplemented
98#2626C2212yes—
99#2583C2214yescomplemented
100#2583C2212yescomplemented
101#2580C2211yescharacteristic
102#2580C2212yes—
103#2580C2211yescharacteristic, complemented
104#2579C2214yes—
105#2575C2214yescomplemented
106#2574C2212yescomplemented
107#2573C2212yescomplemented
108#2572C2212yes—
109#2570C2212yescomplemented
110#2570C2214yescomplemented
111#2567C2211yescharacteristic, complemented
112#2565C2212yescomplemented
113#2564C2212yes—
114#2563C2211yescharacteristic
115#2561C2212yes—
116#2556C2214yescomplemented
117#2553C2212yes—
118#2553C2214yescomplemented
119#2553C2214yescomplemented
120#2553C2214yescomplemented
121#2552C2212yescomplemented
122#2550C2214yescomplemented
123#2542C2211yescharacteristic
124#2542C2212yes—
125#2542C2212yes—
126#2542C2211yescharacteristic, complemented
127#2542C2214yescomplemented
128#2536C2211yescharacteristic, complemented
129#2535C2211yescharacteristic
130#2524C2212yescomplemented
131#2522C2214yescomplemented
132#2519C2214yescomplemented
133#2517C2214yescomplemented
134#2515C2212yes—
135#2513C2212yescomplemented
136#2512C2212yes—
137#2512C2212yes—
138#2512C2212yescomplemented
139#2501C2212yes—
140#2501C2212yescomplemented
141#2501C2214yescomplemented
142#2501C2214yescomplemented
143#2498C2214yescomplemented
144#2491C2212yes—
145#2490C2212yescomplemented
146#2487C2212yes—
147#2482C2214yes—
148#2479C2214yes—
149#2479C2214yes—
150#2478C2214yescomplemented
151#2477C2214yescomplemented
152#2476C2214yes—
153#2473C2214yescomplemented
154#2471C2214yes—
155#2470C2214yescomplemented
156#2468C2212yescomplemented
157#2466C2214yescomplemented
158#2466C2214yescomplemented
159#2464C2214yes—
160#2461C2214yes—
161#2458C2214yescomplemented
162#2457C2212yes—
163#2457C2214yes—
164#2455C2214yes—
165#2455C2214yescomplemented
166#2455C2214yescomplemented
167#2454C2212yes—
168#2452C2214yes—
169#2452C2212yescomplemented
170#2449C2214yes—
171#2449C2214yes—
172#2449C2214yescomplemented
173#2448C2212yes—
174#2445C2212yes—
175#2443C2214yescomplemented
176#2442C2212yescomplemented
177#2441C2212yes—
178#2441C2214yes—
179#2440C2212yes—
180#2440C2214yescomplemented
181#2440C2212yescomplemented
182#2440C2214yescomplemented
183#2439C2214yes—
184#2437C2214yes—
185#2437C2214yes—
186#2432C2214yescomplemented
187#2428C2212yes—
188#2426C2212yes—
189#2424C2214yes—
190#2423C2212yescomplemented
191#2423C2214yescomplemented
192#2422C2212yes—
193#2422C2212yescomplemented
194#2420C2212yes—
195#2418C2214yes—
196#2418C2214yes—
197#2411C2214yes—
198#2408C2212yes—
199#2407C2212yes—
200#2407C2214yescomplemented
201#2406C2212yescomplemented
202#2404C2212yes—
203#2402C2211yescharacteristic, complemented
204#2398C2211yescharacteristic, complemented
205#2396C2211yescharacteristic
206#2396C2212yescomplemented
207C2×#399C2212yes—
208#2392C2211yescharacteristic
209#2388C2212yes—
210#2388C2212yes—
211#2383C2214yescomplemented
212#2383C2214yescomplemented
213#2374C2214yescomplemented
214#2363C2214yes—
215#2361C2214yes—
216#2361C2212yes—
217#2361C2212yes—
218#2360C2212yescomplemented
219#2360C2212yescomplemented
220#2359C2214yescomplemented
221#2358C2214yes—
222#2358C2214yes—
223#2357C2211yescharacteristic
224#2357C2211yescharacteristic, complemented
225#2355C2212yescomplemented
226#2354C2212yes—
227#2352C2212yes—
228#2352C2214yescomplemented
229#2351C2211yescharacteristic, complemented
230Q8×C4⋊C4C2212yescomplemented
231#2349C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2214yescomplemented
235#2341C2212yes—
236D4×C22⋊C4C2212yes—
237#2335C2214yescomplemented
238#2331C2211yescharacteristic, complemented
239#2331C2211yescharacteristic, complemented
240#2330C2212yescomplemented
241#2330C2212yescomplemented
242#2328C2211yescharacteristic
243#2328C2211yescharacteristic
244#2326C2211yescharacteristic
245#2326C2211yescharacteristic
246#2326C2212yes—
247#2322C2214yescomplemented
248#2322C2214yescomplemented
249#2317C2211yescharacteristic
250#2317C2214yescomplemented
251#2314C2214yescomplemented
252C4×#127C2211yescharacteristic
253C4×#127C2211yescharacteristic
254C4×#126C2212yescomplemented
255C4×#124C2211yescharacteristic
256C4×#124C2211yescharacteristic
257C4×#123C2212yes—
258#2297C2211yescharacteristic
259#2295C2211yescharacteristic, complemented
260C2×#390C2211yescharacteristic
261#2290C2212yes—
262#2285C2212yes—
263C2×#384C2212yescomplemented
264#2283C2212yescomplemented
265C42×D4C2211yescharacteristic, complemented
266C4×#117C2211yescharacteristic
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C23×D4C2311yescharacteristic
271Q82—44no—
272#554—44no—
273#551—416no—
274#547—44no—
275#547—44no—
276#547—416no—
277#539—416no—
278#535—28no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×C4⋊Q8C2311yescharacteristic
281C2×C4⋊Q8C2314yes—
282C2×C4⋊Q8C2312yes—
283C2×C4⋊Q8C2312yes—
284C2×C4⋊Q8C2314yes—
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287#529—216no—
288C2×#126C2312yes—
289C2×#126C2314yes—
290C2×#126C2314yes—
291C2×#126C2314yes—
292C2×#126C2314yes—
293C2×#125C2312yes—
294C2×#125C2312yes—
295C2×#125C2314yes—
296C2×#125C2314yes—
297C2×#124C2311yescharacteristic
298C2×#124C2314yes—
299C2×#124C2311yescharacteristic
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2312yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2314yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2314yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2314yes—
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332#520—44no—
333#518—44no—
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2312yes—
344C2×C4×D4C2312yes—
345C2×C4×D4C2314yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2314yes—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2314yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×#117C2314yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2314yes—
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2314yes—
370C22×C4⋊C4C2314yes—
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2314yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C42C2312yes—
381C22×C42C2311yescharacteristic
382#400C2312yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2311yescharacteristic
387#400C2314yes—
388#400C2312yes—
389#400C2312yes—
390#399C2312yes—
391#399C2314yes—
392#399C2312yes—
393#399C2312yes—
394#399C2312yes—
395#399C2312yes—
396#399C2312yes—
397#399C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2311yescharacteristic
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2312yes—
415#398C2314yes—
416#398C2314yes—
417#398C2311yescharacteristic
418#398C2312yes—
419#398C2314yes—
420#398C2312yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#397C2311yescharacteristic
428#397C2312yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#396C2312yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2311yescharacteristic
452#395C2312yes—
453#395C2312yes—
454#395C2312yes—
455#395C2314yes—
456#395C2314yes—
457#395C2312yes—
458#395C2314yes—
459#395C2314yes—
460#394C2312yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2311yescharacteristic
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#393C2312yes—
480#393C2312yes—
481#393C2312yes—
482#393C2312yes—
483#393C2311yescharacteristic
484#393C2312yes—
485#393C2312yes—
486#393C2312yes—
487#393C2314yes—
488#393C2314yes—
489#392C2311yescharacteristic
490#392C2312yes—
491#392C2314yes—
492#392C2314yes—
493#392C2314yes—
494#391C2311yescharacteristic
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2314yes—
499#391C2314yes—
500#390C2311yescharacteristic
501#390C2314yes—
502#390C2314yes—
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2314yes—
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2314yes—
525#389C2312yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
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#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2312yes—
608#387C2312yes—
609#386C2314yes—
610#386C2312yes—
611#386C2312yes—
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#386C2312yes—
626#386C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2312yes—
634#385C2312yes—
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#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2312yes—
656#384C2311yescharacteristic
657#384C2311yescharacteristic
658#384C2312yes—
659#384C2312yes—
660#384C2314yes—
661#384C2312yes—
662#384C2314yes—
663#384C2314yes—
664#384C2312yes—
665#384C2312yes—
666#384C2312yes—
667#384C2314yes—
668#383C2312yes—
669#383C2312yes—
670#383C2312yes—
671#382C2312yes—
672#382C2312yes—
673#382C2311yescharacteristic
674#382C2314yes—
675#382C2314yes—
676#382C2311yescharacteristic
677#382C2312yes—
678#382C2314yes—
679#382C2311yescharacteristic
680#382C2312yes—
681#382C2311yescharacteristic
682#381C2314yes—
683#381C2312yes—
684#381C2312yes—
685#381C2312yes—
686#381C2312yes—
687#381C2312yes—
688#380C2314yes—
689#380C2314yes—
690#380C2314yes—
691#380C2312yes—
692#380C2314yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2312yes—
699#380C2312yes—
700#380C2314yes—
701#380C2314yes—
702#379C2314yes—
703#379C2314yes—
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2312yes—
706C4×C4⋊C4C2312yes—
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2314yes—
709C4×C4⋊C4C2314yes—
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2312yes—
712C4×C4⋊C4C2314yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C22⋊C4C2312yes—
722C4×C22⋊C4C2312yes—
723C4×C22⋊C4C2312yes—
724C4×C22⋊C4C2312yes—
725C4×C22⋊C4C2312yes—
726C4×C22⋊C4C2312yes—
727C4×C22⋊C4C2312yes—
728C4×C22⋊C4C2314yes—
729C4×C22⋊C4C2314yes—
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2312yes—
733C4×C22⋊C4C2312yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739#376C2311yescharacteristic
740#376C2311yescharacteristic
741#376C2312yes—
742C2×#95C2312yes—
743C43C2311yescharacteristic
744C43C2311yescharacteristic
745C25C2412yes—
746C2×#41—24no—
747C2×#41—24no—
748C2×#41—48no—
749C2×#41—48no—
750C2×#41—42no—
751C2×#41—44no—
752C2×#41—44no—
753C22×Q8C2411yescharacteristic
754C22×Q8C2411yescharacteristic
755C22×Q8C2412yes—
756C22×Q8C2412yes—
757C22×Q8C2414yes—
758C22×D4—24no—
759C22×D4—24no—
760C22×D4—42no—
761C22×D4C2411yescharacteristic
762C22×D4C2411yescharacteristic
763C22×D4C2411yescharacteristic
764C22×D4C2412yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C22×D4C2414yes—
770C22×D4C2414yes—
771C22×D4C2414yes—
772C22×D4C2414yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2414yes—
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2414yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C4⋊Q8—24no—
791C4⋊Q8—24no—
792C4⋊Q8—48no—
793C4⋊Q8—44no—
794C4⋊Q8—44no—
795C4⋊Q8—48no—
796#127—24no—
797#127—24no—
798#126—216no—
799#126—28no—
800#126—48no—
801#126—48no—
802#126—48no—
803#125—28no—
804#125—48no—
805#125—44no—
806#125—48no—
807#124—24no—
808#124—48no—
809#124#4118yescomplemented
810#123—216no—
811#123—216no—
812#123—216no—
813#123—216no—
814#123—28no—
815#123—48no—
816#123—48no—
817#123—48no—
818#123—48no—
819#123—48no—
820#123—48no—
821C22⋊Q8—28no—
822C22⋊Q8—48no—
823C22⋊Q8—48no—
824C22⋊Q8—48no—
825C22⋊Q8—48no—
826C22⋊Q8—48no—
827C22⋊Q8—48no—
828C22⋊Q8—48no—
829C22⋊Q8—48no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833#121—28no—
834#121—216no—
835#121—48no—
836#121—48no—
837#121—44no—
838#121—44no—
839#121—48no—
840#120—216no—
841#120—48no—
842C4×Q8—28no—
843C4×Q8—24no—
844C4×Q8—24no—
845C4×Q8—42no—
846C4×Q8—44no—
847C4×Q8—44no—
848C4×D4—28no—
849C4×D4—28no—
850C4×D4—216no—
851C4×D4—28no—
852C4×D4—24no—
853C4×D4—24no—
854C4×D4—24no—
855C4×D4—24no—
856C4×D4—44no—
857C4×D4—48no—
858C4×D4—48no—
859C4×D4—42no—
860C4×D4—42no—
861C4×D4—42no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—48no—
867C4×D4—48no—
868C4×D4—48no—
869#117—216no—
870#117—24no—
871#117—24no—
872#117—44no—
873#117—42no—
874#117—48no—
875#117—48no—
876C2×C4⋊C4—42no—
877C2×C4⋊C4—44no—
878C2×C4⋊C4—48no—
879C2×C4⋊C4—44no—
880C2×C4⋊C4—44no—
881C2×C4⋊C4—48no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2414yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C22⋊C4—44no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—48no—
949C2×C22⋊C4—48no—
950C2×C22⋊C4C2411yescharacteristic
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C42—24no—
1006C2×C42—28no—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2414yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032#95C2411yescharacteristic
1033#95C2412yes—
1034#95C2414yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2414yes—
1045#95C2411yescharacteristic
1046#95C2414yes—
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2412yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2412yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090C24—24no—
1091C24—24no—
1092C24—42no—
1093C24—44no—
1094C24—44no—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2512yes—
1098C24C2512yes—
1099C24C2511yescharacteristic
1100#41—416no—
1101#41—816no—
1102#41—816no—
1103C2×Q8—22no—
1104C2×Q8—22no—
1105C2×Q8—24no—
1106C2×Q8—24no—
1107C2×Q8—22no—
1108C2×Q8—42no—
1109C2×Q8—44no—
1110C2×Q8—44no—
1111C2×Q8—44no—
1112C2×Q8—44no—
1113C2×Q8—44no—
1114C2×Q8C2×#4114yes—
1115C2×D4—24no—
1116C2×D4—28no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—24no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—28no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—24no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—416no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4C2×#4114yes—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—28no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—28no—
1157C22×C4—28no—
1158C22×C4—24no—
1159C22×C4—24no—
1160C22×C4—24no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—28no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—24no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C42−1+414yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2514yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C4⋊C4—24no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—28no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—28no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—22no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—28no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—42no—
1256C4⋊C4—44no—
1257C4⋊C4—42no—
1258C4⋊C4—44no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—24no—
1286C22⋊C4—24no—
1287C22⋊C4—28no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
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—44no—
1336C22⋊C4C2×#41116yes—
1337C22⋊C4H(5,𝔽2)18yes—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—28no—
1342C42—22no—
1343C42—22no—
1344C42—24no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—24no—
1350C42—22no—
1351C42—24no—
1352C42—42no—
1353C42—42no—
1354C42—44no—
1355C42—42no—
1356C42—42no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C42C2×#4114yes—
1362C42H(5,𝔽2)14yes—
1363C23—22no—
1364C23—21no—
1365C23—21no—
1366C23—22no—
1367C23—24no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—24no—
1377C23—22no—
1378C23—22no—
1379C23—24no—
1380C23—24no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—24no—
1386C23—24no—
1387C23—48no—
1388C23—88no—
1389C23—88no—
1390C23—162no—
1391C23—162no—
1392C23C22×#4114yes—
1393C23C2×H(5,𝔽2)14yes—
1394C23C2×2−1+412yes—
1395C23C2611yescharacteristic
1396Q8—28no—
1397Q8—44no—
1398Q8—84no—
1399Q8—84no—
1400Q8—164no—
1401D4—28no—
1402D4—28no—
1403D4—48no—
1404D4—48no—
1405D4—416no—
1406D4—48no—
1407D4—44no—
1408D4—44no—
1409D4—88no—
1410D4—88no—
1411D4—88no—
1412D4—88no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—28no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—24no—
1430C2×C4—24no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—22no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—48no—
1475C2×C4—48no—
1476C2×C4—416no—
1477C2×C4—48no—
1478C2×C4—48no—
1479C2×C4—48no—
1480C2×C4—84no—
1481C2×C4—84no—
1482C2×C4—84no—
1483C2×C4—88no—
1484C2×C4—88no—
1485C2×C4—162no—
1486C2×C4—162no—
1487C2×C4—164no—
1488C2×C4—162no—
1489C2×C4—162no—
1490C2×C4C22×#4114yes—
1491C2×C4C22×#4114yes—
1492C2×C4C22×#4112yes—
1493C2×C4C2×H(5,𝔽2)12yes—
1494C2×C4C2×H(5,𝔽2)14yes—
1495C2×C4C2×H(5,𝔽2)12yes—
1496C2×C4C2×H(5,𝔽2)14yes—
1497C2×C4C2×H(5,𝔽2)12yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C22—24no—
1501C22—28no—
1502C22—22no—
1503C22—24no—
1504C22—24no—
1505C22—24no—
1506C22—24no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—41no—
1512C22—42no—
1513C22—42no—
1514C22—41no—
1515C22—42no—
1516C22—44no—
1517C22—44no—
1518C22—44no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—44no—
1526C22—44no—
1527C22—168no—
1528C22C23×#4111yescharacteristic
1529C22C22×H(5,𝔽2)12yes—
1530C22C22×H(5,𝔽2)11yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C222−1+612yes—
1533C4—24no—
1534C4—24no—
1535C4—22no—
1536C4—24no—
1537C4—22no—
1538C4—22no—
1539C4—24no—
1540C4—42no—
1541C4—44no—
1542C4—44no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—44no—
1548C4—44no—
1549C4—41no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4#352014yes—
1559C2—44no—
1560C2—44no—
1561C2—42no—
1562C2—82no—
1563C2—82no—
1564C2C2×#352011yescharacteristic
1565C2#6283211yescharacteristic
1566C2#6288711yescharacteristic
1567C2#6291512yes—
1568C2#6298512yes—
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. #59277C2semidirect
2. #59273C2semidirect
3. #49677C2semidirect
4. #49663C2semidirect
5. #48547C2semidirect
6. #48539C2semidirect
7. #45350C2semidirect
8. #45271C2semidirect
9. #45056C2semidirect
10. #44937C2semidirect
11. #43994C2semidirect
12. #43976C2semidirect
13. #43106C2semidirect
14. #43009C2semidirect
15. #40099C2semidirect
16. #39756C2semidirect
17. #39617C2semidirect
18. #39404C2semidirect
19. #37874C2semidirect
20. #37751C2semidirect
21. #37292C2semidirect
22. #36179C2semidirect
23. #36135C2semidirect
24. #35836C2semidirect
25. #35748C2semidirect
26. #35730C2semidirect
27. #35693C2semidirect
28. #35294C2semidirect
29. #34879C2semidirect
30. #34384C2semidirect
31. #34275C2semidirect
32. C2×Q82C22semidirect
36. C2×#547C22semidirect
37. C2×#547C22semidirect
38. C2×#539C22semidirect
43. #2868C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
47. #2851C22semidirect
48. #2808C22semidirect
49. #2792C22semidirect
50. #2791C22semidirect
52. #2777C22semidirect
53. #2773C22semidirect
54. #2761C22semidirect
55. #2757C22semidirect
56. #2741C22semidirect
58. #2737C22semidirect
59. #2729C22semidirect
60. #2728C22semidirect
61. #2727C22semidirect
63. #2723C22semidirect
64. #2723C22semidirect
65. #2721C22semidirect
67. #2718C22semidirect
70. #2706C22semidirect
71. #2701C22semidirect
72. #2698C22semidirect
73. #2696C22semidirect
74. #2694C22semidirect
75. #2694C22semidirect
77. #2691C22semidirect
78. #2687C22semidirect
79. #2686C22semidirect
81. #2681C22semidirect
83. #2677C22semidirect
84. #2677C22semidirect
85. #2674C22semidirect
86. #2672C22semidirect
88. #2667C22semidirect
89. #2660C22semidirect
93. #2633C22semidirect
97. #2628C22semidirect
99. #2583C22semidirect
100. #2583C22semidirect
103. #2580C22semidirect
105. #2575C22semidirect
106. #2574C22semidirect
107. #2573C22semidirect
109. #2570C22semidirect
110. #2570C22semidirect
111. #2567C22semidirect
112. #2565C22semidirect
116. #2556C22semidirect
118. #2553C22semidirect
119. #2553C22semidirect
120. #2553C22semidirect
121. #2552C22semidirect
122. #2550C22semidirect
126. #2542C22semidirect
127. #2542C22semidirect
128. #2536C22semidirect
130. #2524C22semidirect
131. #2522C22semidirect
132. #2519C22semidirect
133. #2517C22semidirect
135. #2513C22semidirect
138. #2512C22semidirect
140. #2501C22semidirect
141. #2501C22semidirect
142. #2501C22semidirect
143. #2498C22semidirect
145. #2490C22semidirect
150. #2478C22semidirect
151. #2477C22semidirect
153. #2473C22semidirect
155. #2470C22semidirect
156. #2468C22semidirect
157. #2466C22semidirect
158. #2466C22semidirect
161. #2458C22semidirect
165. #2455C22semidirect
166. #2455C22semidirect
169. #2452C22semidirect
172. #2449C22semidirect
175. #2443C22semidirect
176. #2442C22semidirect
180. #2440C22semidirect
181. #2440C22semidirect
182. #2440C22semidirect
186. #2432C22semidirect
190. #2423C22semidirect
191. #2423C22semidirect
193. #2422C22semidirect
200. #2407C22semidirect
201. #2406C22semidirect
203. #2402C22semidirect
204. #2398C22semidirect
206. #2396C22semidirect
211. #2383C22semidirect
212. #2383C22semidirect
213. #2374C22semidirect
218. #2360C22semidirect
219. #2360C22semidirect
220. #2359C22semidirect
224. #2357C22semidirect
225. #2355C22semidirect
228. #2352C22semidirect
229. #2351C22semidirect
230. Q8×C4⋊C4C22semidirect
234. D4×C4⋊C4C22semidirect
237. #2335C22semidirect
238. #2331C22semidirect
239. #2331C22semidirect
240. #2330C22semidirect
241. #2330C22semidirect
247. #2322C22semidirect
248. #2322C22semidirect
250. #2317C22semidirect
251. #2314C22semidirect
254. C4×#126C22semidirect
259. #2295C22semidirect
263. C2×#384C22semidirect
264. #2283C22semidirect
265. C42×D4C22semidirect
809. #124#41semidirect

Maximal subgroups

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

subgroupindex
#592772
#592732
#496772
#496632
#485472
#485392
#453502
#452712
#450562
#449372
#439942
#439762
#431062
#430092
#400992
#397562
#396172
#394042
#378742
#377512
#372922
#361792
#361352
#358362
#357482
#357302
#356932
#352942
#348792
#343842
#342752