Finite Group Databasebeta

← #7900956

Subgroups — #7900956

Order 512.

5789 conjugacy classes of subgroups.

The subgroup lattice has 1641 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59650C212yesmaximal, complemented
3#52160C211yesmaximal, characteristic, complemented
4#49934C214yesmaximal, complemented
5#48591C214yesmaximal, complemented
6#48580C214yesmaximal, complemented
7#46505C214yesmaximal, complemented
8#45947C212yesmaximal, complemented
9#45404C212yesmaximal, complemented
10#45035C212yesmaximal, complemented
11#44932C212yesmaximal, complemented
12#42998C214yesmaximal, complemented
13#42606C212yesmaximal, complemented
14#42508C212yesmaximal, complemented
15#40688C214yesmaximal, complemented
16#39628C211yesmaximal, characteristic, complemented
17#39500C211yesmaximal, characteristic, complemented
18#39444C212yesmaximal, complemented
19#39408C212yesmaximal, complemented
20#39261C212yesmaximal, complemented
21#38768C212yesmaximal, complemented
22#38026C212yesmaximal, complemented
23#37249C212yesmaximal, complemented
24#36534C211yesmaximal, characteristic, complemented
25#35728C212yesmaximal, complemented
26#35520C212yesmaximal, complemented
27#35186C211yesmaximal, characteristic, complemented
28#34471C212yesmaximal, complemented
29#34313C211yesmaximal, characteristic, complemented
30C2×#556C2211yescharacteristic, complemented
31C2×#554C2211yescharacteristic, complemented
32C2×#550C2211yescharacteristic
33C2×#546C2212yescomplemented
34C2×#546C2212yescomplemented
35C2×D42C2212yes—
36C2×D42C2212yes—
37C2×D42C2212yes—
38C2×#538C2214yescomplemented
39C2×#529C2212yescomplemented
40C2×#520C2212yescomplemented
41#2862C2211yescharacteristic, complemented
42#2861C2212yescomplemented
43#2861C2212yescomplemented
44#2860C2212yescomplemented
45#2854C2212yescomplemented
46#2837C2214yescomplemented
47#2824C2214yescomplemented
48#2808C2212yescomplemented
49#2808C2212yescomplemented
50#2804C2212yescomplemented
51#2804C2212yescomplemented
52#2795C2214yescomplemented
53#2781C2214yescomplemented
54#2779C2214yescomplemented
55#2748C2214yescomplemented
56#2743C2214yescomplemented
57#2741C2214yescomplemented
58#2739C2214yescomplemented
59#2733C2212yescomplemented
60#2733C2212yescomplemented
61#2733C2211yescharacteristic, complemented
62#2732C2212yescomplemented
63#2732C2212yescomplemented
64#2732C2211yescharacteristic, complemented
65#2730C2212yescomplemented
66#2727C2211yescharacteristic, complemented
67#2721C2212yescomplemented
68#2718C2214yescomplemented
69#2714C2214yescomplemented
70#2714C2214yescomplemented
71#2714C2212yescomplemented
72#2711C2214yescomplemented
73#2711C2214yescomplemented
74#2711C2214yescomplemented
75#2705C2212yescomplemented
76#2705C2214yescomplemented
77#2702C2214yescomplemented
78#2701C2214yescomplemented
79#2697C2214yescomplemented
80#2696C2214yescomplemented
81#2694C2212yescomplemented
82#2691C2214yescomplemented
83#2688C2214yescomplemented
84#2688C2214yescomplemented
85#2685C2214yescomplemented
86#2685C2214yescomplemented
87#2685C2214yescomplemented
88#2684C2214yescomplemented
89#2684C2214yescomplemented
90#2682C2211yescharacteristic, complemented
91#2679C2212yes—
92#2679C2212yes—
93#2676C2214yescomplemented
94#2673C2212yes—
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2651C2214yescomplemented
103#2649C2214yescomplemented
104#2647C2212yescomplemented
105#2636C2214yescomplemented
106#2635C2214yescomplemented
107#2630C2214yescomplemented
108#2626C2214yescomplemented
109#2624C2212yescomplemented
110#2619C2212yes—
111#2618C2214yescomplemented
112#2595C2214yescomplemented
113#2593C2214yescomplemented
114#2582C2211yescharacteristic, complemented
115#2580C2212yescomplemented
116#2569C2214yescomplemented
117#2565C2212yescomplemented
118#2563C2211yescharacteristic, complemented
119#2560C2214yescomplemented
120#2560C2214yescomplemented
121#2559C2214yescomplemented
122#2559C2214yescomplemented
123#2558C2214yescomplemented
124#2552C2211yescharacteristic, complemented
125#2548C2211yescharacteristic
126#2548C2211yescharacteristic
127#2547C2211yescharacteristic, complemented
128#2544C2212yes—
129#2543C2214yescomplemented
130#2543C2214yescomplemented
131#2540C2214yescomplemented
132#2539C2214yescomplemented
133#2537C2212yes—
134#2537C2212yes—
135#2537C2212yes—
136#2537C2212yescomplemented
137#2537C2212yescomplemented
138#2536C2212yescomplemented
139#2536C2212yescomplemented
140#2535C2212yescomplemented
141#2522C2214yescomplemented
142#2512C2212yescomplemented
143#2497C2212yescomplemented
144#2496C2212yescomplemented
145#2491C2212yescomplemented
146#2491C2212yescomplemented
147#2487C2212yescomplemented
148#2487C2212yescomplemented
149#2486C2212yescomplemented
150#2485C2212yescomplemented
151#2480C2214yescomplemented
152#2480C2214yescomplemented
153#2479C2214yescomplemented
154#2477C2214yescomplemented
155#2473C2214yescomplemented
156#2472C2214yescomplemented
157#2472C2214yescomplemented
158#2472C2214yescomplemented
159#2468C2214yescomplemented
160#2468C2214yescomplemented
161#2464C2214yescomplemented
162#2464C2214yescomplemented
163#2460C2214yescomplemented
164#2459C2214yescomplemented
165#2459C2214yescomplemented
166#2459C2214yescomplemented
167#2459C2214yescomplemented
168#2458C2214yescomplemented
169#2455C2214yescomplemented
170#2454C2212yescomplemented
171#2452C2212yescomplemented
172#2452C2212yescomplemented
173#2450C2214yescomplemented
174#2450C2214yescomplemented
175#2448C2212yescomplemented
176#2447C2212yescomplemented
177#2443C2214yescomplemented
178#2437C2214yescomplemented
179#2426C2212yescomplemented
180#2426C2214yescomplemented
181#2426C2212yescomplemented
182#2424C2214yescomplemented
183#2424C2214yescomplemented
184#2424C2214yescomplemented
185#2424C2214yescomplemented
186#2418C2214yescomplemented
187#2418C2214yescomplemented
188#2416C2212yescomplemented
189#2416C2212yescomplemented
190#2416C2212yescomplemented
191#2414C2212yescomplemented
192#2411C2214yescomplemented
193#2411C2214yescomplemented
194#2410C2214yescomplemented
195#2410C2214yescomplemented
196#2410C2214yescomplemented
197#2408C2212yes—
198#2408C2214yes—
199#2408C2212yes—
200#2408C2214yes—
201#2408C2212yescomplemented
202#2408C2212yescomplemented
203#2408C2214yescomplemented
204#2407C2212yescomplemented
205#2407C2212yescomplemented
206#2405C2214yescomplemented
207#2397C2212yescomplemented
208#2392C2212yescomplemented
209#2392C2212yescomplemented
210C2×#394C2214yescomplemented
211#2377C2214yescomplemented
212#2375C2214yescomplemented
213#2366C2211yescharacteristic
214#2366C2212yescomplemented
215#2363C2212yescomplemented
216#2361C2212yescomplemented
217#2361C2212yescomplemented
218#2361C2214yescomplemented
219#2358C2214yescomplemented
220#2358C2214yescomplemented
221#2357C2212yescomplemented
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224Q8×C4⋊C4C2211yescharacteristic, complemented
225#2349C2212yescomplemented
226D4×C4⋊C4C2211yescharacteristic, complemented
227D4×C4⋊C4C2212yescomplemented
228#2341C2212yescomplemented
229D4×C22⋊C4C2214yescomplemented
230D4×C22⋊C4C2212yescomplemented
231D4×C22⋊C4C2212yescomplemented
232#2333C2214yescomplemented
233#2328C2212yes—
234#2326C2212yescomplemented
235#2324C2214yescomplemented
236#2324C2212yescomplemented
237#2324C2212yescomplemented
238#2323C2212yescomplemented
239#2321C2214yescomplemented
240#2321C2214yescomplemented
241#2319C2212yescomplemented
242#2314C2212yescomplemented
243#2309C2212yescomplemented
244#2308C2214yescomplemented
245C4×#127C2211yescharacteristic
246C4×#127C2211yescharacteristic
247C4×#127C2211yescharacteristic
248C4×#127C2212yescomplemented
249C4×#124C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253#2295C2211yescharacteristic, complemented
254#2293C2211yescharacteristic, complemented
255#2293C2212yescomplemented
256C2×#390C2212yescomplemented
257#2290C2212yescomplemented
258C42×Q8C2211yescharacteristic, complemented
259C22×#41C2312yes—
260C23×D4C2312yes—
261C23×D4C2312yes—
262C23×D4C2314yes—
263C23×D4C2314yes—
264#556—44no—
265#554—44no—
266#550—28no—
267#546—48no—
268#546—48no—
269D42—216no—
270D42—48no—
271D42—48no—
272#538—416no—
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278C2×#127C2311yescharacteristic
279#529—48no—
280C2×#126C2314yes—
281C2×#126C2314yes—
282C2×#126C2312yes—
283C2×#126C2312yes—
284C2×#126C2314yes—
285C2×#125C2312yes—
286C2×#125C2312yes—
287C2×#125C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2314yes—
293C2×#124C2312yes—
294C2×#124C2314yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2312yes—
299C2×#123C2314yes—
300C2×#123C2312yes—
301C2×C22⋊Q8C2312yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2314yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2314yes—
307C2×#121C2312yes—
308C2×#121C2314yes—
309C2×#121C2312yes—
310C2×#121C2314yes—
311C2×#121C2312yes—
312C2×#121C2312yes—
313C2×#121C2312yes—
314C2×#121C2314yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2314yes—
320C2×#121C2314yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323C2×#121C2314yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#120C2314yes—
329C2×#120C2314yes—
330C2×#120C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×#120C2314yes—
337C2×#120C2314yes—
338#520—48no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2314yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C22⋊C4C2314yes—
380C22×C22⋊C4C2314yes—
381C22×C22⋊C4C2314yes—
382C22×C22⋊C4C2314yes—
383C22×C22⋊C4C2314yes—
384C22×C22⋊C4C2314yes—
385C22×C42C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2312yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#399C2312yes—
398#399C2314yes—
399#399C2312yes—
400#399C2312yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#397C2314yes—
411#397C2312yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2312yes—
418#397C2314yes—
419#397C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2312yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yes—
429#396C2312yes—
430#396C2314yes—
431#396C2312yes—
432#396C2312yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2312yes—
458#394C2312yes—
459#394C2312yes—
460#394C2312yes—
461#394C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2312yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2312yes—
485#392C2312yes—
486#392C2312yes—
487#392C2312yes—
488#392C2312yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2312yes—
500#391C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2314yes—
513#390C2314yes—
514#390C2312yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2314yes—
538#390C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#386C2314yes—
610#386C2314yes—
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#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2314yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2312yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#384C2311yescharacteristic
661#384C2311yescharacteristic
662#384C2311yescharacteristic
663#384C2312yes—
664#384C2312yes—
665#382C2312yes—
666#382C2312yes—
667#382C2312yes—
668#381C2314yes—
669#381C2314yes—
670#381C2314yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#380C2312yes—
680#380C2312yes—
681#380C2314yes—
682#380C2312yes—
683#380C2312yes—
684#380C2314yes—
685#380C2312yes—
686#380C2314yes—
687#380C2312yes—
688#379C2314yes—
689#379C2314yes—
690#379C2314yes—
691#379C2314yes—
692#379C2314yes—
693#379C2314yes—
694#379C2314yes—
695#379C2314yes—
696C4×C4⋊C4C2312yes—
697C4×C4⋊C4C2312yes—
698C4×C4⋊C4C2311yescharacteristic
699C4×C4⋊C4C2312yes—
700C4×C4⋊C4C2312yes—
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C4⋊C4C2311yescharacteristic
704C4×C4⋊C4C2312yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2311yescharacteristic
707C4×C4⋊C4C2311yescharacteristic
708C4×C4⋊C4C2312yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2314yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2314yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2312yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2314yes—
718C4×C22⋊C4C2312yes—
719#376C2312yes—
720C2×#95C2314yes—
721C43C2311yescharacteristic
722C43C2312yes—
723C25C2414yes—
724C25C2414yes—
725C2×#41—28no—
726C2×#41—28no—
727C2×#41—44no—
728C22×Q8C2411yescharacteristic
729C22×Q8C2412yes—
730C22×Q8C2411yescharacteristic
731C22×Q8C2412yes—
732C22×D4—28no—
733C22×D4—28no—
734C22×D4—216no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—48no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4—48no—
741C22×D4—48no—
742C22×D4—84no—
743C22×D4—84no—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2412yes—
748C22×D4C2412yes—
749C22×D4C2412yes—
750C22×D4C2411yescharacteristic
751C22×D4C2411yescharacteristic
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2412yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C22×D4C2412yes—
762C22×D4C2412yes—
763C22×D4C2414yes—
764C22×D4C2414yes—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2411yescharacteristic
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2412yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2412yes—
781C23×C4C2414yes—
782C4⋊Q8—42no—
783C4⋊Q8—42no—
784#127—28no—
785#127—24no—
786#127—24no—
787#127#4118yes—
788#126—48no—
789#126—48no—
790#126—44no—
791#126—44no—
792#126—48no—
793#125—44no—
794#125—44no—
795#125—82no—
796#124—28no—
797#124—28no—
798#124—44no—
799#124—44no—
800#124—48no—
801#124—84no—
802#124—82no—
803#123—44no—
804#123—48no—
805#123—48no—
806#123—48no—
807#123—48no—
808#123—44no—
809C22⋊Q8—28no—
810C22⋊Q8—28no—
811C22⋊Q8—48no—
812C22⋊Q8—44no—
813C22⋊Q8—48no—
814C22⋊Q8—84no—
815#121—28no—
816#121—28no—
817#121—216no—
818#121—28no—
819#121—216no—
820#121—28no—
821#121—44no—
822#121—48no—
823#121—48no—
824#121—48no—
825#121—48no—
826#121—48no—
827#121—48no—
828#121—44no—
829#121—44no—
830#121—48no—
831#121—44no—
832#121—44no—
833#121—84no—
834#121—84no—
835#121—84no—
836#120—216no—
837#120—216no—
838#120—216no—
839#120—48no—
840#120—48no—
841#120—48no—
842#120—48no—
843#120—48no—
844#120—48no—
845#120—84no—
846C4×Q8—24no—
847C4×Q8—24no—
848C4×Q8—24no—
849C4×Q8—24no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×D4—28no—
853C4×D4—28no—
854C4×D4—28no—
855C4×D4—24no—
856C4×D4—28no—
857C4×D4—28no—
858C4×D4—48no—
859C4×D4—48no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—44no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—42no—
871C4×D4—42no—
872C4×D4—48no—
873C4×D4—48no—
874C4×D4—82no—
875C4×D4—82no—
876C4×D4—82no—
877C4×D4—82no—
878C4×D4—84no—
879#117—28no—
880#117—44no—
881#117—48no—
882#117—44no—
883C2×C4⋊C4—48no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2414yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2414yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C22⋊C4—48no—
938C2×C22⋊C4—48no—
939C2×C22⋊C4—48no—
940C2×C22⋊C4—84no—
941C2×C22⋊C4—84no—
942C2×C22⋊C4—84no—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2412yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2412yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C42—44no—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037#95C2412yes—
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#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078C24—28no—
1079C24—28no—
1080C24—28no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—44no—
1092C24C2512yes—
1093C24C2514yes—
1094C24C2512yes—
1095C24C2514yes—
1096C24C2512yes—
1097#41—432no—
1098C2×Q8—22no—
1099C2×Q8—22no—
1100C2×Q8—22no—
1101C2×Q8—24no—
1102C2×Q8—42no—
1103C2×Q8—41no—
1104C2×Q8—41no—
1105C2×Q8—42no—
1106C2×Q8—42no—
1107C2×Q8—42no—
1108C2×Q8—42no—
1109C2×Q8H(5,𝔽2)14yes—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—28no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—22no—
1133C2×D4—24no—
1134C2×D4—41no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—41no—
1140C2×D4—44no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—41no—
1154C2×D4—42no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—42no—
1172C2×D4—41no—
1173C2×D4—42no—
1174C2×D4—42no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—816no—
1182C2×D4—816no—
1183C2×D4—832no—
1184C2×D4—832no—
1185C2×D4C2×#4118yes—
1186C2×D4C2×#4118yes—
1187C2×D4C2×#4118yes—
1188C2×D4H(5,𝔽2)14yes—
1189C22×C4—28no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—24no—
1200C22×C4—24no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—44no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—42no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4C2512yes—
1229C22×C4C2514yes—
1230C22×C4C2514yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2514yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2511yescharacteristic
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2511yescharacteristic
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—28no—
1270C4⋊C4—24no—
1271C4⋊C4—28no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—41no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—41no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—24no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—28no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—28no—
1324C22⋊C4—24no—
1325C22⋊C4—28no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C42—24no—
1375C42—24no—
1376C42—24no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—22no—
1381C42—24no—
1382C42—24no—
1383C42—42no—
1384C42—42no—
1385C42—41no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—41no—
1390C42—42no—
1391C42—41no—
1392C42—44no—
1393C42—42no—
1394C42C2×#4114yes—
1395C42H(5,𝔽2)14yes—
1396C23—22no—
1397C23—22no—
1398C23—24no—
1399C23—22no—
1400C23—24no—
1401C23—24no—
1402C23—24no—
1403C23—24no—
1404C23—22no—
1405C23—22no—
1406C23—24no—
1407C23—22no—
1408C23—22no—
1409C23—24no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—24no—
1414C23—22no—
1415C23—24no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—24no—
1428C23—22no—
1429C23—416no—
1430C23—88no—
1431C23—88no—
1432C23—88no—
1433C23—88no—
1434C23—88no—
1435C23—88no—
1436C23—88no—
1437C23—88no—
1438C23—88no—
1439C23—164no—
1440C23—164no—
1441C23—164no—
1442C23—164no—
1443C23C22×#4118yes—
1444C23C2×H(5,𝔽2)14yes—
1445C23C2611yescharacteristic
1446Q8—28no—
1447Q8—82no—
1448Q8—84no—
1449Q8—162no—
1450D4—216no—
1451D4—48no—
1452D4—48no—
1453D4—44no—
1454D4—48no—
1455D4—48no—
1456D4—416no—
1457D4—44no—
1458D4—48no—
1459D4—416no—
1460D4—48no—
1461D4—84no—
1462D4—82no—
1463D4—88no—
1464D4—84no—
1465D4—84no—
1466D4—88no—
1467D4—88no—
1468D4—88no—
1469D4—88no—
1470D4—84no—
1471D4—84no—
1472D4—88no—
1473D4—164no—
1474D4—164no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—416no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—84no—
1545C2×C4—84no—
1546C2×C4—164no—
1547C2×C4—164no—
1548C2×C4—164no—
1549C2×C4—164no—
1550C2×C4—164no—
1551C2×C4C22×#4112yes—
1552C2×C4C22×#4112yes—
1553C2×C4C22×#4112yes—
1554C2×C4C2×H(5,𝔽2)12yes—
1555C2×C4C2×H(5,𝔽2)12yes—
1556C2×C4C2×H(5,𝔽2)14yes—
1557C2×C4C2×H(5,𝔽2)12yes—
1558C2×C4C2×H(5,𝔽2)12yes—
1559C2×C4C2×H(5,𝔽2)12yes—
1560C22—24no—
1561C22—28no—
1562C22—28no—
1563C22—28no—
1564C22—24no—
1565C22—24no—
1566C22—42no—
1567C22—42no—
1568C22—44no—
1569C22—42no—
1570C22—42no—
1571C22—44no—
1572C22—44no—
1573C22—44no—
1574C22—44no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—44no—
1580C22—42no—
1581C22—42no—
1582C22—44no—
1583C22—42no—
1584C22—44no—
1585C22—42no—
1586C22—42no—
1587C22—44no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—44no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—1616no—
1596C22—1616no—
1597C22C23×#4111yescharacteristic
1598C22C22×H(5,𝔽2)11yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×H(5,𝔽2)11yescharacteristic
1601C22H(7,𝔽2)11yescharacteristic
1602C22H(7,𝔽2)11yescharacteristic
1603C222−1+611yescharacteristic
1604C4—22no—
1605C4—24no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—44no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—44no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—44no—
1623C4—42no—
1624C4—44no—
1625C4—42no—
1626C4—42no—
1627C4#351914yes—
1628C2—44no—
1629C2—48no—
1630C2—82no—
1631C2—84no—
1632C2—82no—
1633C2C2×#351911yescharacteristic
1634C2#6284711yescharacteristic
1635C2#6287811yescharacteristic
1636C2#6289511yescharacteristic
1637C2#6291211yescharacteristic
1638C2#6298311yescharacteristic
1639C2#6306611yescharacteristic
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. #59816C2semidirect
2. #59650C2semidirect
3. #52160C2semidirect
4. #49934C2semidirect
5. #48591C2semidirect
6. #48580C2semidirect
7. #46505C2semidirect
8. #45947C2semidirect
9. #45404C2semidirect
10. #45035C2semidirect
11. #44932C2semidirect
12. #42998C2semidirect
13. #42606C2semidirect
14. #42508C2semidirect
15. #40688C2semidirect
16. #39628C2semidirect
17. #39500C2semidirect
18. #39444C2semidirect
19. #39408C2semidirect
20. #39261C2semidirect
21. #38768C2semidirect
22. #38026C2semidirect
23. #37249C2semidirect
24. #36534C2semidirect
25. #35728C2semidirect
26. #35520C2semidirect
27. #35186C2semidirect
28. #34471C2semidirect
29. #34313C2semidirect
30. C2×#556C22semidirect
31. C2×#554C22semidirect
33. C2×#546C22semidirect
34. C2×#546C22semidirect
38. C2×#538C22semidirect
39. C2×#529C22semidirect
40. C2×#520C22semidirect
41. #2862C22semidirect
42. #2861C22semidirect
43. #2861C22semidirect
44. #2860C22semidirect
45. #2854C22semidirect
46. #2837C22semidirect
47. #2824C22semidirect
48. #2808C22semidirect
49. #2808C22semidirect
50. #2804C22semidirect
51. #2804C22semidirect
52. #2795C22semidirect
53. #2781C22semidirect
54. #2779C22semidirect
55. #2748C22semidirect
56. #2743C22semidirect
57. #2741C22semidirect
58. #2739C22semidirect
59. #2733C22semidirect
60. #2733C22semidirect
61. #2733C22semidirect
62. #2732C22semidirect
63. #2732C22semidirect
64. #2732C22semidirect
65. #2730C22semidirect
66. #2727C22semidirect
67. #2721C22semidirect
68. #2718C22semidirect
69. #2714C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2711C22semidirect
73. #2711C22semidirect
74. #2711C22semidirect
75. #2705C22semidirect
76. #2705C22semidirect
77. #2702C22semidirect
78. #2701C22semidirect
79. #2697C22semidirect
80. #2696C22semidirect
81. #2694C22semidirect
82. #2691C22semidirect
83. #2688C22semidirect
84. #2688C22semidirect
85. #2685C22semidirect
86. #2685C22semidirect
87. #2685C22semidirect
88. #2684C22semidirect
89. #2684C22semidirect
90. #2682C22semidirect
93. #2676C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2651C22semidirect
103. #2649C22semidirect
104. #2647C22semidirect
105. #2636C22semidirect
106. #2635C22semidirect
107. #2630C22semidirect
108. #2626C22semidirect
109. #2624C22semidirect
111. #2618C22semidirect
112. #2595C22semidirect
113. #2593C22semidirect
114. #2582C22semidirect
115. #2580C22semidirect
116. #2569C22semidirect
117. #2565C22semidirect
118. #2563C22semidirect
119. #2560C22semidirect
120. #2560C22semidirect
121. #2559C22semidirect
122. #2559C22semidirect
123. #2558C22semidirect
124. #2552C22semidirect
127. #2547C22semidirect
129. #2543C22semidirect
130. #2543C22semidirect
131. #2540C22semidirect
132. #2539C22semidirect
136. #2537C22semidirect
137. #2537C22semidirect
138. #2536C22semidirect
139. #2536C22semidirect
140. #2535C22semidirect
141. #2522C22semidirect
142. #2512C22semidirect
143. #2497C22semidirect
144. #2496C22semidirect
145. #2491C22semidirect
146. #2491C22semidirect
147. #2487C22semidirect
148. #2487C22semidirect
149. #2486C22semidirect
150. #2485C22semidirect
151. #2480C22semidirect
152. #2480C22semidirect
153. #2479C22semidirect
154. #2477C22semidirect
155. #2473C22semidirect
156. #2472C22semidirect
157. #2472C22semidirect
158. #2472C22semidirect
159. #2468C22semidirect
160. #2468C22semidirect
161. #2464C22semidirect
162. #2464C22semidirect
163. #2460C22semidirect
164. #2459C22semidirect
165. #2459C22semidirect
166. #2459C22semidirect
167. #2459C22semidirect
168. #2458C22semidirect
169. #2455C22semidirect
170. #2454C22semidirect
171. #2452C22semidirect
172. #2452C22semidirect
173. #2450C22semidirect
174. #2450C22semidirect
175. #2448C22semidirect
176. #2447C22semidirect
177. #2443C22semidirect
178. #2437C22semidirect
179. #2426C22semidirect
180. #2426C22semidirect
181. #2426C22semidirect
182. #2424C22semidirect
183. #2424C22semidirect
184. #2424C22semidirect
185. #2424C22semidirect
186. #2418C22semidirect
187. #2418C22semidirect
188. #2416C22semidirect
189. #2416C22semidirect
190. #2416C22semidirect
191. #2414C22semidirect
192. #2411C22semidirect
193. #2411C22semidirect
194. #2410C22semidirect
195. #2410C22semidirect
196. #2410C22semidirect
201. #2408C22semidirect
202. #2408C22semidirect
203. #2408C22semidirect
204. #2407C22semidirect
205. #2407C22semidirect
206. #2405C22semidirect
207. #2397C22semidirect
208. #2392C22semidirect
209. #2392C22semidirect
210. C2×#394C22semidirect
211. #2377C22semidirect
212. #2375C22semidirect
214. #2366C22semidirect
215. #2363C22semidirect
216. #2361C22semidirect
217. #2361C22semidirect
218. #2361C22semidirect
219. #2358C22semidirect
220. #2358C22semidirect
221. #2357C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. Q8×C4⋊C4C22semidirect
225. #2349C22semidirect
226. D4×C4⋊C4C22semidirect
227. D4×C4⋊C4C22semidirect
228. #2341C22semidirect
229. D4×C22⋊C4C22semidirect
230. D4×C22⋊C4C22semidirect
231. D4×C22⋊C4C22semidirect
232. #2333C22semidirect
234. #2326C22semidirect
235. #2324C22semidirect
236. #2324C22semidirect
237. #2324C22semidirect
238. #2323C22semidirect
239. #2321C22semidirect
240. #2321C22semidirect
241. #2319C22semidirect
242. #2314C22semidirect
243. #2309C22semidirect
244. #2308C22semidirect
248. C4×#127C22semidirect
249. C4×#124C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. #2295C22semidirect
254. #2293C22semidirect
255. #2293C22semidirect
256. C2×#390C22semidirect
257. #2290C22semidirect
258. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598162
#596502
#521602
#499342
#485912
#485802
#465052
#459472
#454042
#450352
#449322
#429982
#426062
#425082
#406882
#396282
#395002
#394442
#394082
#392612
#387682
#380262
#372492
#365342
#357282
#355202
#351862
#344712
#343132