Finite Group Databasebeta

← #7900948

Subgroups — #7900948

Order 512.

5347 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59864C211yesmaximal, characteristic, complemented
2#59408C212yesmaximal, complemented
3#52160C211yesmaximal, characteristic, complemented
4#50853C214yesmaximal, complemented
5#49786C214yesmaximal, complemented
6#47884C214yesmaximal, complemented
7#47393C214yesmaximal, complemented
8#45808C212yesmaximal, complemented
9#45412C212yesmaximal, complemented
10#45079C212yesmaximal, complemented
11#44980C212yesmaximal, complemented
12#43476C214yesmaximal, complemented
13#42608C212yesmaximal, complemented
14#42478C212yesmaximal, complemented
15#42072C214yesmaximal, complemented
16#39765C211yesmaximal, characteristic, complemented
17#39664C212yesmaximal, complemented
18#39495C212yesmaximal, complemented
19#39381C211yesmaximal, characteristic, complemented
20#39273C212yesmaximal, complemented
21#38466C212yesmaximal, complemented
22#38024C212yesmaximal, complemented
23#37316C212yesmaximal, complemented
24#36260C211yesmaximal, characteristic, complemented
25#35736C212yesmaximal, complemented
26#35568C212yesmaximal, complemented
27#35176C211yesmaximal, characteristic, complemented
28#34476C212yesmaximal, complemented
29#34316C211yesmaximal, characteristic, complemented
30C2×#553C2212yes—
31C2×#552C2212yescomplemented
32C2×#547C2211yescharacteristic
33C2×#547C2211yescharacteristic
34C2×#546C2212yes—
35C2×#546C2212yes—
36C2×D42C2211yescharacteristic
37C2×#542C2212yescomplemented
38C2×#529C2212yescomplemented
39#2858C2211yescharacteristic
40#2857C2212yescomplemented
41#2856C2212yes—
42#2855C2212yescomplemented
43#2855C2212yescomplemented
44#2829C2214yescomplemented
45#2816C2214yescomplemented
46#2808C2212yescomplemented
47#2808C2212yescomplemented
48#2808C2214yescomplemented
49#2804C2212yes—
50#2804C2212yescomplemented
51#2804C2212yescomplemented
52#2791C2214yescomplemented
53#2780C2214yes—
54#2780C2214yescomplemented
55#2773C2214yescomplemented
56#2752C2214yescomplemented
57#2751C2214yescomplemented
58#2748C2214yescomplemented
59#2748C2214yescomplemented
60#2733C2212yescomplemented
61#2733C2211yescharacteristic, complemented
62#2732C2211yescharacteristic
63#2732C2212yescomplemented
64#2730C2212yescomplemented
65#2727C2214yescomplemented
66#2727C2212yescomplemented
67#2727C2211yescharacteristic, complemented
68#2724C2212yescomplemented
69#2721C2212yescomplemented
70#2714C2212yescomplemented
71#2714C2214yescomplemented
72#2709C2214yescomplemented
73#2707C2214yescomplemented
74#2706C2214yescomplemented
75#2706C2214yescomplemented
76#2706C2214yescomplemented
77#2706C2214yescomplemented
78#2705C2214yescomplemented
79#2705C2214yescomplemented
80#2705C2212yescomplemented
81#2703C2214yes—
82#2703C2214yescomplemented
83#2694C2212yescomplemented
84#2694C2214yescomplemented
85#2694C2214yescomplemented
86#2691C2214yescomplemented
87#2685C2214yes—
88#2685C2214yescomplemented
89#2682C2211yescharacteristic
90#2682C2212yescomplemented
91#2682C2214yescomplemented
92#2681C2214yescomplemented
93#2678C2214yescomplemented
94#2678C2214yescomplemented
95#2676C2214yescomplemented
96#2676C2214yescomplemented
97#2673C2212yes—
98#2671C2214yescomplemented
99#2671C2214yescomplemented
100#2667C2214yescomplemented
101#2667C2214yescomplemented
102#2664C2214yescomplemented
103#2648C2214yescomplemented
104#2640C2212yescomplemented
105#2630C2214yescomplemented
106#2626C2214yescomplemented
107#2624C2212yescomplemented
108#2620C2212yescomplemented
109#2615C2214yescomplemented
110#2602C2214yescomplemented
111#2601C2214yescomplemented
112#2597C2214yescomplemented
113#2592C2212yescomplemented
114#2580C2214yescomplemented
115#2580C2214yescomplemented
116#2580C2214yescomplemented
117#2571C2212yescomplemented
118#2566C2214yescomplemented
119#2563C2212yescomplemented
120#2563C2212yescomplemented
121#2560C2214yescomplemented
122#2559C2214yes—
123#2559C2214yescomplemented
124#2557C2214yescomplemented
125#2554C2214yescomplemented
126#2554C2214yescomplemented
127#2553C2214yescomplemented
128#2553C2214yescomplemented
129#2553C2214yescomplemented
130#2552C2211yescharacteristic, complemented
131#2546C2211yescharacteristic, complemented
132#2542C2211yescharacteristic
133#2542C2211yescharacteristic
134#2541C2211yescharacteristic
135#2540C2212yes—
136#2540C2212yes—
137#2540C2212yescomplemented
138#2539C2214yes—
139#2539C2214yes—
140#2539C2214yes—
141#2539C2214yescomplemented
142#2538C2211yescharacteristic
143#2538C2212yescomplemented
144#2537C2212yescomplemented
145#2534C2214yescomplemented
146#2522C2214yescomplemented
147#2522C2214yescomplemented
148#2519C2214yescomplemented
149#2517C2214yescomplemented
150#2507C2212yescomplemented
151#2501C2212yes—
152#2497C2214yescomplemented
153#2491C2214yescomplemented
154#2490C2212yes—
155#2489C2212yescomplemented
156#2487C2212yes—
157#2487C2212yescomplemented
158#2481C2214yescomplemented
159#2479C2214yescomplemented
160#2476C2214yescomplemented
161#2472C2214yescomplemented
162#2470C2214yescomplemented
163#2464C2214yescomplemented
164#2464C2214yescomplemented
165#2458C2214yescomplemented
166#2458C2214yescomplemented
167#2456C2214yescomplemented
168#2454C2212yes—
169#2454C2214yescomplemented
170#2452C2214yescomplemented
171#2446C2212yescomplemented
172#2445C2212yes—
173#2442C2214yescomplemented
174#2437C2214yescomplemented
175#2437C2214yescomplemented
176#2433C2212yes—
177#2429C2212yescomplemented
178#2429C2212yescomplemented
179#2428C2212yes—
180#2428C2214yescomplemented
181#2426C2214yescomplemented
182#2424C2214yes—
183#2424C2214yescomplemented
184#2423C2212yescomplemented
185#2423C2212yescomplemented
186#2422C2212yescomplemented
187#2422C2214yescomplemented
188#2418C2214yes—
189#2417C2212yescomplemented
190#2417C2212yescomplemented
191#2417C2212yescomplemented
192#2416C2212yescomplemented
193#2416C2212yescomplemented
194#2416C2212yescomplemented
195#2415C2212yescomplemented
196#2414C2212yes—
197#2414C2214yescomplemented
198#2412C2214yescomplemented
199#2410C2214yes—
200#2408C2212yes—
201#2408C2212yes—
202#2407C2212yes—
203#2407C2212yes—
204#2404C2214yescomplemented
205#2397C2212yescomplemented
206#2392C2212yescomplemented
207#2392C2214yescomplemented
208#2392C2212yescomplemented
209#2377C2214yescomplemented
210#2376C2214yescomplemented
211#2374C2214yescomplemented
212#2367C2212yescomplemented
213#2367C2212yescomplemented
214#2366C2212yes—
215#2365C2211yescharacteristic, complemented
216#2363C2212yes—
217#2362C2212yescomplemented
218#2361C2212yescomplemented
219#2360C2212yescomplemented
220#2358C2214yescomplemented
221#2354C2211yescharacteristic
222#2354C2211yescharacteristic, complemented
223D4×C4⋊C4C2212yescomplemented
224D4×C4⋊C4C2212yescomplemented
225#2345C2212yescomplemented
226#2342C2214yescomplemented
227#2341C2212yes—
228#2341C2212yescomplemented
229D4×C22⋊C4C2212yes—
230D4×C22⋊C4C2214yes—
231#2335C2214yescomplemented
232#2335C2214yescomplemented
233#2333C2214yes—
234#2330C2212yescomplemented
235#2326C2212yescomplemented
236#2324C2212yes—
237#2324C2214yescomplemented
238#2324C2212yescomplemented
239#2323C2212yescomplemented
240#2321C2214yescomplemented
241#2319C2212yes—
242#2315C2214yescomplemented
243#2311C2212yes—
244C4×C4⋊Q8C2211yescharacteristic, complemented
245C4×C4⋊Q8C2211yescharacteristic, complemented
246C4×#127C2211yescharacteristic
247C4×C22⋊Q8C2212yescomplemented
248C4×C22⋊Q8C2212yescomplemented
249C4×#121C2212yes—
250C4×#121C2212yes—
251#2297C2212yescomplemented
252#2295C2211yescharacteristic, complemented
253#2293C2211yescharacteristic, complemented
254C2×#390C2212yes—
255C2×#390C2212yes—
256#2290C2212yescomplemented
257#2274C2212yescomplemented
258C42×D4C2211yescharacteristic
259C22×#41C2312yes—
260C22×#41C2312yes—
261C23×D4C2312yes—
262C23×D4C2312yes—
263#553—48no—
264#552—48no—
265#547—28no—
266#547—44no—
267#546—216no—
268#546—48no—
269D42—44no—
270#542—48no—
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2312yes—
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#127C2312yes—
278#529—48no—
279C2×#126C2312yes—
280C2×#126C2314yes—
281C2×#126C2312yes—
282C2×#126C2314yes—
283C2×#126C2314yes—
284C2×#125C2312yes—
285C2×#125C2314yes—
286C2×#125C2312yes—
287C2×#124C2312yes—
288C2×#124C2312yes—
289C2×#124C2312yes—
290C2×#124C2314yes—
291C2×#123C2314yes—
292C2×#123C2314yes—
293C2×#123C2312yes—
294C2×#123C2312yes—
295C2×#123C2314yes—
296C2×#123C2314yes—
297C2×#123C2314yes—
298C2×#123C2314yes—
299C2×#123C2314yes—
300C2×#123C2314yes—
301C2×#123C2314yes—
302C2×C22⋊Q8C2312yes—
303C2×C22⋊Q8C2312yes—
304C2×C22⋊Q8C2312yes—
305C2×C22⋊Q8C2314yes—
306C2×C22⋊Q8C2312yes—
307C2×C22⋊Q8C2312yes—
308C2×C22⋊Q8C2312yes—
309C2×C22⋊Q8C2312yes—
310C2×C22⋊Q8C2312yes—
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×#121C2314yes—
314C2×#121C2312yes—
315C2×#121C2312yes—
316C2×#121C2312yes—
317C2×#121C2312yes—
318C2×#121C2314yes—
319C2×#121C2312yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2312yes—
326C2×#121C2314yes—
327C2×#121C2314yes—
328C2×#121C2314yes—
329C2×#121C2314yes—
330C2×#121C2314yes—
331C2×#120C2314yes—
332C2×#120C2314yes—
333C2×#120C2314yes—
334C2×#120C2314yes—
335C2×#120C2314yes—
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2312yes—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2314yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2314yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2314yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2311yescharacteristic
361C2×#117C2312yes—
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2314yes—
365C2×#117C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2312yes—
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C22⋊C4C2314yes—
371C22×C22⋊C4C2314yes—
372C22×C22⋊C4C2314yes—
373C22×C22⋊C4C2314yes—
374C22×C22⋊C4C2314yes—
375C22×C42C2312yes—
376C22×C42C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#399C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yes—
387#399C2312yes—
388#399C2312yes—
389#399C2312yes—
390#399C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2314yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2312yes—
415#397C2314yes—
416#397C2314yes—
417#396C2312yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2312yes—
424#396C2314yes—
425#396C2314yes—
426#396C2312yes—
427#396C2312yes—
428#396C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
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#394C2312yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#392C2314yes—
468#392C2314yes—
469#392C2312yes—
470#392C2314yes—
471#392C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2312yes—
476#392C2312yes—
477#392C2314yes—
478#392C2314yes—
479#392C2312yes—
480#392C2312yes—
481#392C2312yes—
482#392C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#390C2314yes—
494#390C2312yes—
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2314yes—
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2312yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2311yescharacteristic
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2314yes—
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2314yes—
609#386C2312yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2312yes—
619#386C2314yes—
620#386C2314yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2312yes—
636#385C2314yes—
637#385C2314yes—
638#385C2314yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#384C2311yescharacteristic
654#384C2311yescharacteristic
655#384C2311yescharacteristic
656#384C2312yes—
657#384C2312yes—
658#384C2312yes—
659#382C2314yes—
660#382C2314yes—
661#382C2314yes—
662#381C2314yes—
663#381C2314yes—
664#380C2312yes—
665#380C2312yes—
666#380C2312yes—
667#380C2312yes—
668#380C2312yes—
669#380C2312yes—
670#380C2314yes—
671#380C2314yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2312yes—
676#380C2314yes—
677#380C2314yes—
678#380C2312yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2312yes—
683#380C2314yes—
684#379C2314yes—
685#379C2314yes—
686#379C2314yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2314yes—
694C4×C4⋊C4C2312yes—
695C4×C4⋊C4C2311yescharacteristic
696C4×C4⋊C4C2311yescharacteristic
697C4×C4⋊C4C2311yescharacteristic
698C4×C4⋊C4C2312yes—
699C4×C4⋊C4C2314yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2312yes—
702C4×C4⋊C4C2311yescharacteristic
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2314yes—
709C4×C22⋊C4C2314yes—
710C4×C22⋊C4C2314yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2314yes—
713C4×C22⋊C4C2312yes—
714C4×C22⋊C4C2312yes—
715C4×C22⋊C4C2314yes—
716C4×C22⋊C4C2314yes—
717C4×C22⋊C4C2312yes—
718C4×C22⋊C4C2312yes—
719#376C2312yes—
720C43C2311yescharacteristic
721C25C2414yes—
722C2×#41—28no—
723C2×#41—28no—
724C2×#41—44no—
725C2×#41—44no—
726C2×#41—82no—
727C2×#41—82no—
728C22×Q8C2412yes—
729C22×Q8C2412yes—
730C22×Q8C2411yescharacteristic
731C22×Q8C2412yes—
732C22×D4—28no—
733C22×D4—28no—
734C22×D4—44no—
735C22×D4—44no—
736C22×D4—44no—
737C22×D4—82no—
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2414yes—
742C22×D4C2411yescharacteristic
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2411yescharacteristic
747C22×D4C2411yescharacteristic
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2412yes—
752C22×D4C2412yes—
753C22×D4C2412yes—
754C22×D4C2412yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2411yescharacteristic
759C23×C4C2412yes—
760C23×C4C2412yes—
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2414yes—
764C23×C4C2412yes—
765C23×C4C2412yes—
766C23×C4C2414yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2412yes—
773C4⋊Q8—24no—
774C4⋊Q8—24no—
775C4⋊Q8—42no—
776C4⋊Q8—82no—
777#127—24no—
778#127—42no—
779#127—82no—
780#126—48no—
781#126—44no—
782#126—44no—
783#126—48no—
784#126—48no—
785#125—28no—
786#125—48no—
787#125—44no—
788#124—28no—
789#124—28no—
790#124—44no—
791#124—48no—
792#123—216no—
793#123—216no—
794#123—44no—
795#123—48no—
796#123—48no—
797#123—48no—
798#123—48no—
799#123—48no—
800#123—44no—
801#123—84no—
802#123—84no—
803C22⋊Q8—28no—
804C22⋊Q8—28no—
805C22⋊Q8—28no—
806C22⋊Q8—44no—
807C22⋊Q8—48no—
808C22⋊Q8—44no—
809C22⋊Q8—44no—
810C22⋊Q8—44no—
811C22⋊Q8—82no—
812C22⋊Q8—82no—
813C22⋊Q8—82no—
814#121—28no—
815#121—28no—
816#121—216no—
817#121—28no—
818#121—28no—
819#121—44no—
820#121—48no—
821#121—44no—
822#121—44no—
823#121—48no—
824#121—44no—
825#121—44no—
826#121—44no—
827#121—84no—
828#121—84no—
829#121—84no—
830#121—84no—
831#121—84no—
832#120—216no—
833#120—48no—
834#120—48no—
835#120—84no—
836#120—84no—
837C4×Q8—24no—
838C4×Q8—44no—
839C4×Q8—44no—
840C4×Q8—82no—
841C4×Q8—82no—
842C4×Q8—82no—
843C4×D4—24no—
844C4×D4—28no—
845C4×D4—24no—
846C4×D4—28no—
847C4×D4—24no—
848C4×D4—44no—
849C4×D4—48no—
850C4×D4—44no—
851C4×D4—44no—
852C4×D4—44no—
853C4×D4—42no—
854C4×D4—42no—
855C4×D4—44no—
856C4×D4—44no—
857C4×D4—84no—
858C4×D4—84no—
859C4×D4—84no—
860C4×D4—84no—
861C4×D4#4118yes—
862#117—28no—
863#117—28no—
864#117—44no—
865#117—48no—
866#117—82no—
867C2×C4⋊C4—28no—
868C2×C4⋊C4—44no—
869C2×C4⋊C4—44no—
870C2×C4⋊C4—44no—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2412yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C22⋊C4—216no—
929C2×C22⋊C4—48no—
930C2×C22⋊C4—84no—
931C2×C22⋊C4—84no—
932C2×C22⋊C4—84no—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2412yes—
946C2×C22⋊C4C2412yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C42—44no—
1001C2×C42—82no—
1002C2×C42C2412yes—
1003C2×C42C2414yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2411yescharacteristic
1008C2×C42C2414yes—
1009C2×C42C2414yes—
1010C2×C42C2414yes—
1011C2×C42C2414yes—
1012C2×C42C2414yes—
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2414yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2412yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024#95C2412yes—
1025#95C2412yes—
1026#95C2412yes—
1027#95C2412yes—
1028#95C2412yes—
1029#95C2412yes—
1030#95C2412yes—
1031#95C2412yes—
1032#95C2414yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2414yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2412yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067C24—28no—
1068C24—28no—
1069C24—44no—
1070C24—44no—
1071C24—44no—
1072C24—44no—
1073C24—44no—
1074C24C2514yes—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2512yes—
1078C24C2512yes—
1079#41—816no—
1080#41—816no—
1081C2×Q8—24no—
1082C2×Q8—24no—
1083C2×Q8—24no—
1084C2×Q8—24no—
1085C2×Q8—22no—
1086C2×Q8—24no—
1087C2×Q8—42no—
1088C2×Q8—42no—
1089C2×Q8—42no—
1090C2×Q8—41no—
1091C2×Q8—42no—
1092C2×Q8—41no—
1093C2×D4—24no—
1094C2×D4—24no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—24no—
1100C2×D4—24no—
1101C2×D4—24no—
1102C2×D4—22no—
1103C2×D4—24no—
1104C2×D4—28no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—24no—
1108C2×D4—28no—
1109C2×D4—24no—
1110C2×D4—24no—
1111C2×D4—22no—
1112C2×D4—24no—
1113C2×D4—41no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—44no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—44no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—42no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—42no—
1153C2×D4—44no—
1154C2×D4—816no—
1155C2×D4—816no—
1156C2×D4C2×#4114yes—
1157C2×D42−1+414yes—
1158C22×C4—28no—
1159C22×C4—24no—
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—28no—
1172C22×C4—24no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—42no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4C2×#4118yes—
1200C22×C4C2512yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2514yes—
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2512yes—
1208C22×C4C2514yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—22no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—28no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—41no—
1245C4⋊C4—42no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—41no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—44no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—41no—
1265C4⋊C4—44no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4C2×#4114yes—
1280C4⋊C4H(5,𝔽2)14yes—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—28no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—24no—
1297C22⋊C4—24no—
1298C22⋊C4—24no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—24no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—42no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4C2×#4118yes—
1348C42—24no—
1349C42—24no—
1350C42—28no—
1351C42—22no—
1352C42—24no—
1353C42—22no—
1354C42—42no—
1355C42—42no—
1356C42—41no—
1357C42—42no—
1358C42—42no—
1359C42—42no—
1360C42—44no—
1361C42—44no—
1362C42—44no—
1363C42—44no—
1364C42—44no—
1365C42—44no—
1366C42—41no—
1367C42—41no—
1368C42C2×#4114yes—
1369C42H(5,𝔽2)14yes—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—24no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—24no—
1388C23—22no—
1389C23—22no—
1390C23—24no—
1391C23—22no—
1392C23—22no—
1393C23—24no—
1394C23—24no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—24no—
1400C23—24no—
1401C23—22no—
1402C23—22no—
1403C23—416no—
1404C23—88no—
1405C23—88no—
1406C23—88no—
1407C23—88no—
1408C23—164no—
1409C23—164no—
1410C23C22×#4114yes—
1411C23C2×2−1+414yes—
1412C23C2611yescharacteristic
1413Q8—48no—
1414Q8—48no—
1415Q8—82no—
1416Q8—84no—
1417D4—28no—
1418D4—44no—
1419D4—48no—
1420D4—48no—
1421D4—416no—
1422D4—44no—
1423D4—48no—
1424D4—88no—
1425D4—82no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—88no—
1430D4—88no—
1431D4—88no—
1432D4—84no—
1433D4—84no—
1434D4—164no—
1435D4—162no—
1436D4—164no—
1437D4—164no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—24no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—21no—
1487C2×C4—24no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—48no—
1501C2×C4—48no—
1502C2×C4—48no—
1503C2×C4—48no—
1504C2×C4—48no—
1505C2×C4—84no—
1506C2×C4—88no—
1507C2×C4—84no—
1508C2×C4—88no—
1509C2×C4—88no—
1510C2×C4—84no—
1511C2×C4—164no—
1512C2×C4—164no—
1513C2×C4—164no—
1514C2×C4C22×#4112yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4114yes—
1517C2×C4C22×#4112yes—
1518C2×C4C2×H(5,𝔽2)14yes—
1519C2×C4C2×H(5,𝔽2)12yes—
1520C2×C4C2×H(5,𝔽2)12yes—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×H(5,𝔽2)12yes—
1523C2×C4C2×2−1+412yes—
1524C22—24no—
1525C22—24no—
1526C22—24no—
1527C22—24no—
1528C22—24no—
1529C22—24no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—44no—
1541C22—42no—
1542C22—42no—
1543C22—44no—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—44no—
1550C22—44no—
1551C22—42no—
1552C22—42no—
1553C22—44no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—44no—
1559C22—1616no—
1560C22C23×#4111yescharacteristic
1561C22C22×H(5,𝔽2)11yescharacteristic
1562C22C22×H(5,𝔽2)11yescharacteristic
1563C22C22×2−1+411yescharacteristic
1564C22H(7,𝔽2)11yescharacteristic
1565C22H(7,𝔽2)11yescharacteristic
1566C22H(7,𝔽2)11yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—24no—
1570C4—22no—
1571C4—22no—
1572C4—24no—
1573C4—22no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—44no—
1578C4—44no—
1579C4—44no—
1580C4—42no—
1581C4—41no—
1582C4—44no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—44no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4#350814yes—
1591C2—44no—
1592C2—44no—
1593C2—82no—
1594C2—82no—
1595C2—84no—
1596C2C2×#350811yescharacteristic
1597C2#6284611yescharacteristic
1598C2#6288011yescharacteristic
1599C2#6289411yescharacteristic
1600C2#6294411yescharacteristic
1601C2#6300011yescharacteristic
1602C2#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. #59864C2semidirect
2. #59408C2semidirect
3. #52160C2semidirect
4. #50853C2semidirect
5. #49786C2semidirect
6. #47884C2semidirect
7. #47393C2semidirect
8. #45808C2semidirect
9. #45412C2semidirect
10. #45079C2semidirect
11. #44980C2semidirect
12. #43476C2semidirect
13. #42608C2semidirect
14. #42478C2semidirect
15. #42072C2semidirect
16. #39765C2semidirect
17. #39664C2semidirect
18. #39495C2semidirect
19. #39381C2semidirect
20. #39273C2semidirect
21. #38466C2semidirect
22. #38024C2semidirect
23. #37316C2semidirect
24. #36260C2semidirect
25. #35736C2semidirect
26. #35568C2semidirect
27. #35176C2semidirect
28. #34476C2semidirect
29. #34316C2semidirect
31. C2×#552C22semidirect
37. C2×#542C22semidirect
38. C2×#529C22semidirect
40. #2857C22semidirect
42. #2855C22semidirect
43. #2855C22semidirect
44. #2829C22semidirect
45. #2816C22semidirect
46. #2808C22semidirect
47. #2808C22semidirect
48. #2808C22semidirect
50. #2804C22semidirect
51. #2804C22semidirect
52. #2791C22semidirect
54. #2780C22semidirect
55. #2773C22semidirect
56. #2752C22semidirect
57. #2751C22semidirect
58. #2748C22semidirect
59. #2748C22semidirect
60. #2733C22semidirect
61. #2733C22semidirect
63. #2732C22semidirect
64. #2730C22semidirect
65. #2727C22semidirect
66. #2727C22semidirect
67. #2727C22semidirect
68. #2724C22semidirect
69. #2721C22semidirect
70. #2714C22semidirect
71. #2714C22semidirect
72. #2709C22semidirect
73. #2707C22semidirect
74. #2706C22semidirect
75. #2706C22semidirect
76. #2706C22semidirect
77. #2706C22semidirect
78. #2705C22semidirect
79. #2705C22semidirect
80. #2705C22semidirect
82. #2703C22semidirect
83. #2694C22semidirect
84. #2694C22semidirect
85. #2694C22semidirect
86. #2691C22semidirect
88. #2685C22semidirect
90. #2682C22semidirect
91. #2682C22semidirect
92. #2681C22semidirect
93. #2678C22semidirect
94. #2678C22semidirect
95. #2676C22semidirect
96. #2676C22semidirect
98. #2671C22semidirect
99. #2671C22semidirect
100. #2667C22semidirect
101. #2667C22semidirect
102. #2664C22semidirect
103. #2648C22semidirect
104. #2640C22semidirect
105. #2630C22semidirect
106. #2626C22semidirect
107. #2624C22semidirect
108. #2620C22semidirect
109. #2615C22semidirect
110. #2602C22semidirect
111. #2601C22semidirect
112. #2597C22semidirect
113. #2592C22semidirect
114. #2580C22semidirect
115. #2580C22semidirect
116. #2580C22semidirect
117. #2571C22semidirect
118. #2566C22semidirect
119. #2563C22semidirect
120. #2563C22semidirect
121. #2560C22semidirect
123. #2559C22semidirect
124. #2557C22semidirect
125. #2554C22semidirect
126. #2554C22semidirect
127. #2553C22semidirect
128. #2553C22semidirect
129. #2553C22semidirect
130. #2552C22semidirect
131. #2546C22semidirect
137. #2540C22semidirect
141. #2539C22semidirect
143. #2538C22semidirect
144. #2537C22semidirect
145. #2534C22semidirect
146. #2522C22semidirect
147. #2522C22semidirect
148. #2519C22semidirect
149. #2517C22semidirect
150. #2507C22semidirect
152. #2497C22semidirect
153. #2491C22semidirect
155. #2489C22semidirect
157. #2487C22semidirect
158. #2481C22semidirect
159. #2479C22semidirect
160. #2476C22semidirect
161. #2472C22semidirect
162. #2470C22semidirect
163. #2464C22semidirect
164. #2464C22semidirect
165. #2458C22semidirect
166. #2458C22semidirect
167. #2456C22semidirect
169. #2454C22semidirect
170. #2452C22semidirect
171. #2446C22semidirect
173. #2442C22semidirect
174. #2437C22semidirect
175. #2437C22semidirect
177. #2429C22semidirect
178. #2429C22semidirect
180. #2428C22semidirect
181. #2426C22semidirect
183. #2424C22semidirect
184. #2423C22semidirect
185. #2423C22semidirect
186. #2422C22semidirect
187. #2422C22semidirect
189. #2417C22semidirect
190. #2417C22semidirect
191. #2417C22semidirect
192. #2416C22semidirect
193. #2416C22semidirect
194. #2416C22semidirect
195. #2415C22semidirect
197. #2414C22semidirect
198. #2412C22semidirect
204. #2404C22semidirect
205. #2397C22semidirect
206. #2392C22semidirect
207. #2392C22semidirect
208. #2392C22semidirect
209. #2377C22semidirect
210. #2376C22semidirect
211. #2374C22semidirect
212. #2367C22semidirect
213. #2367C22semidirect
215. #2365C22semidirect
217. #2362C22semidirect
218. #2361C22semidirect
219. #2360C22semidirect
220. #2358C22semidirect
222. #2354C22semidirect
223. D4×C4⋊C4C22semidirect
224. D4×C4⋊C4C22semidirect
225. #2345C22semidirect
226. #2342C22semidirect
228. #2341C22semidirect
231. #2335C22semidirect
232. #2335C22semidirect
234. #2330C22semidirect
235. #2326C22semidirect
237. #2324C22semidirect
238. #2324C22semidirect
239. #2323C22semidirect
240. #2321C22semidirect
242. #2315C22semidirect
244. C4×C4⋊Q8C22semidirect
245. C4×C4⋊Q8C22semidirect
247. C4×C22⋊Q8C22semidirect
248. C4×C22⋊Q8C22semidirect
251. #2297C22semidirect
252. #2295C22semidirect
253. #2293C22semidirect
256. #2290C22semidirect
257. #2274C22semidirect

Maximal subgroups

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

subgroupindex
#598642
#594082
#521602
#508532
#497862
#478842
#473932
#458082
#454122
#450792
#449802
#434762
#426082
#424782
#420722
#397652
#396642
#394952
#393812
#392732
#384662
#380242
#373162
#362602
#357362
#355682
#351762
#344762
#343162