Finite Group Databasebeta

← #8093869

Subgroups — #8093869

Order 512.

6310 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52741C214yesmaximal, complemented
2#52718C214yesmaximal, complemented
3#52397C214yesmaximal, complemented
4#52375C214yesmaximal, complemented
5#52345C214yesmaximal, complemented
6#52320C214yesmaximal, complemented
7#46335C214yesmaximal, complemented
8#46334C214yesmaximal, complemented
9#45732C214yesmaximal, complemented
10#45563C214yesmaximal, complemented
11#45556C214yesmaximal, complemented
12#45465C214yesmaximal, complemented
13#35447C211yesmaximal, characteristic, complemented
14#35446C211yesmaximal, characteristic, complemented
15#35351C211yesmaximal, characteristic, complemented
16#35348C211yesmaximal, characteristic, complemented
17#35347C211yesmaximal, characteristic, complemented
18#35346C211yesmaximal, characteristic, complemented
19#35097C211yesmaximal, characteristic, complemented
20#35089C211yesmaximal, characteristic, complemented
21#34995C211yesmaximal, characteristic, complemented
22#34995C211yesmaximal, characteristic, complemented
23#34992C211yesmaximal, characteristic, complemented
24#34981C211yesmaximal, characteristic, complemented
25C2×#2539C211yesmaximal, characteristic, complemented
26C2×#2411C211yesmaximal, characteristic, complemented
27C2×#2412C211yesmaximal, characteristic, complemented
28C22×H(5,𝔽2)C2211yescharacteristic
29C2×#534C2211yescharacteristic
30C2×#534C2211yescharacteristic
31C22×#123C2211yescharacteristic
32C22×#123C2211yescharacteristic
33C22×#123C2211yescharacteristic
34C22×#123C2211yescharacteristic, complemented
35C22×#121C2211yescharacteristic
36C22×#120C2211yescharacteristic
37C22×#120C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic, complemented
40C2×#518C2211yescharacteristic, complemented
41C22×#117C2211yescharacteristic, complemented
42C23×C22⋊C4C2211yescharacteristic, complemented
43C23×C22⋊C4C2211yescharacteristic, complemented
44#2854C2214yescomplemented
45#2853C2214yescomplemented
46#2852C2214yescomplemented
47#2852C2214yescomplemented
48#2849C2214yescomplemented
49#2847C2214yescomplemented
50#2841C2214yescomplemented
51#2838C2214yescomplemented
52#2838C2214yescomplemented
53#2830C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2828C2214yescomplemented
61#2827C2214yescomplemented
62#2827C2214yescomplemented
63#2826C2214yescomplemented
64#2826C2214yescomplemented
65#2825C2214yescomplemented
66#2825C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2812C2214yescomplemented
70#2803C2214yescomplemented
71#2803C2214yescomplemented
72#2797C2214yescomplemented
73#2797C2214yescomplemented
74#2796C2214yescomplemented
75#2796C2214yescomplemented
76#2784C2214yescomplemented
77#2780C2214yescomplemented
78#2780C2214yescomplemented
79#2778C2214yescomplemented
80#2778C2214yescomplemented
81#2757C2214yescomplemented
82#2757C2214yescomplemented
83#2756C2214yescomplemented
84#2756C2214yescomplemented
85#2752C2214yescomplemented
86#2749C2214yescomplemented
87#2749C2214yescomplemented
88#2748C2214yescomplemented
89#2746C2214yescomplemented
90#2746C2214yescomplemented
91#2742C2214yescomplemented
92#2737C2214yescomplemented
93#2737C2214yescomplemented
94#2714C2214yescomplemented
95#2714C2214yescomplemented
96#2705C2214yescomplemented
97#2705C2214yescomplemented
98#2703C2214yescomplemented
99#2703C2214yescomplemented
100#2699C2214yescomplemented
101#2697C2214yescomplemented
102#2693C2214yescomplemented
103#2691C2214yescomplemented
104#2691C2214yescomplemented
105#2685C2214yescomplemented
106#2685C2214yescomplemented
107#2678C2214yescomplemented
108#2678C2214yescomplemented
109#2668C2214yescomplemented
110#2643C2214yescomplemented
111#2643C2214yescomplemented
112#2623C2214yescomplemented
113#2622C2214yescomplemented
114#2618C2214yescomplemented
115#2617C2214yescomplemented
116#2539C2214yescomplemented
117#2539C2214yescomplemented
118#2539C2214yescomplemented
119#2539C2214yescomplemented
120#2534C2212yescomplemented
121#2534C2212yescomplemented
122#2534C2212yescomplemented
123#2534C2212yescomplemented
124#2510C2214yescomplemented
125#2510C2214yescomplemented
126#2498C2214yescomplemented
127#2498C2214yescomplemented
128#2493C2214yescomplemented
129#2493C2214yescomplemented
130#2486C2212yescomplemented
131#2486C2212yescomplemented
132#2484C2212yescomplemented
133#2484C2214yescomplemented
134#2483C2214yescomplemented
135#2483C2212yescomplemented
136#2482C2212yescomplemented
137#2482C2214yescomplemented
138#2481C2214yescomplemented
139#2481C2214yescomplemented
140#2480C2214yescomplemented
141#2480C2214yescomplemented
142#2444C2214yescomplemented
143#2444C2214yescomplemented
144#2443C2214yescomplemented
145#2443C2214yescomplemented
146#2430C2214yescomplemented
147#2430C2214yescomplemented
148#2425C2214yescomplemented
149#2425C2214yescomplemented
150#2424C2214yescomplemented
151#2424C2214yescomplemented
152#2413C2214yescomplemented
153#2413C2214yescomplemented
154#2413C2214yescomplemented
155#2412C2214yescomplemented
156#2412C2214yescomplemented
157#2412C2214yescomplemented
158#2412C2214yescomplemented
159#2412C2214yescomplemented
160#2412C2214yescomplemented
161#2412C2214yescomplemented
162#2412C2214yescomplemented
163#2412C2214yescomplemented
164#2411C2214yescomplemented
165#2411C2214yescomplemented
166#2411C2214yescomplemented
167#2411C2214yescomplemented
168#2411C2214yescomplemented
169#2411C2214yescomplemented
170#2411C2214yescomplemented
171#2410C2214yescomplemented
172#2410C2214yescomplemented
173#2410C2214yescomplemented
174#2410C2214yescomplemented
175#2410C2214yescomplemented
176#2408C2212yescomplemented
177#2408C2212yescomplemented
178#2406C2212yescomplemented
179#2406C2214yescomplemented
180#2406C2212yescomplemented
181#2406C2214yescomplemented
182#2406C2212yescomplemented
183#2405C2214yescomplemented
184#2405C2212yescomplemented
185#2405C2212yescomplemented
186#2405C2214yescomplemented
187#2405C2212yescomplemented
188#2405C2214yescomplemented
189#2405C2212yescomplemented
190#2404C2214yes—
191#2404C2214yescomplemented
192#2404C2212yescomplemented
193#2404C2212yescomplemented
194#2404C2212yescomplemented
195#2403C2214yes—
196#2403C2214yescomplemented
197#2403C2212yescomplemented
198#2403C2212yescomplemented
199#2403C2212yescomplemented
200C2×#399C2212yescomplemented
201C2×#397C2212yescomplemented
202C2×#396C2212yescomplemented
203C2×#394C2212yescomplemented
204C2×#394C2212yescomplemented
205C2×#392C2212yescomplemented
206#2377C2214yescomplemented
207#2377C2214yescomplemented
208#2376C2214yescomplemented
209#2375C2214yescomplemented
210#2315C2211yescharacteristic, complemented
211#2315C2211yescharacteristic, complemented
212#2315C2211yescharacteristic, complemented
213#2315C2211yescharacteristic, complemented
214#2308C2211yescharacteristic
215#2308C2211yescharacteristic
216#2308C2211yescharacteristic
217#2308C2211yescharacteristic
218#2308C2211yescharacteristic
219#2308C2211yescharacteristic
220#2308C2211yescharacteristic
221#2308C2211yescharacteristic, complemented
222C2×#390C2212yescomplemented
223C2×#390C2212yescomplemented
224C2×#390C2212yescomplemented
225C2×#388C2212yescomplemented
226C2×#386C2211yescharacteristic
227C2×#386C2211yescharacteristic
228C2×#386C2212yescomplemented
229C2×#385C2211yescharacteristic, complemented
230C2×#385C2211yescharacteristic, complemented
231C2×#381C2211yescharacteristic, complemented
232C2×#380C2212yescomplemented
233C2×#379C2211yescharacteristic, complemented
234C2×C4×C22⋊C4C2211yescharacteristic, complemented
235C26C2311yescharacteristic
236C2×H(5,𝔽2)—44no—
237C2×H(5,𝔽2)—44no—
238C2×H(5,𝔽2)—44no—
239C22×#41C2312yes—
240C22×#41C2312yes—
241C22×#41C2312yes—
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2312yes—
247C23×D4C2312yes—
248C23×D4C2312yes—
249C23×D4C2311yescharacteristic
250C23×D4C2312yes—
251C23×D4C2312yes—
252C23×D4C2312yes—
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2312yes—
258#534—44no—
259#534—44no—
260C2×#126C2314yescomplemented
261C2×#126C2314yescomplemented
262C2×#123—44no—
263C2×#123—44no—
264C2×#123—44no—
265C2×#123—44no—
266C2×#123C2314yes—
267C2×#123C2312yes—
268C2×#123C2312yes—
269C2×#123C2312yes—
270C2×#123C2312yes—
271C2×#123C2312yes—
272C2×#123C2312yes—
273C2×#123C2314yes—
274C2×#123C2314yes—
275C2×#123C2314yes—
276C2×#123C2314yes—
277C2×#123C2312yes—
278C2×#123C2312yes—
279C2×#123C2314yes—
280C2×#123C2312yes—
281C2×#123C2312yes—
282C2×#123C2314yes—
283C2×#123C2314yescomplemented
284C2×#121—44no—
285C2×#121C2314yes—
286C2×#121C2314yes—
287C2×#121C2314yes—
288C2×#121C2314yes—
289C2×#121C2314yes—
290C2×#121C2314yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#120—44no—
294C2×#120—44no—
295C2×#120—44no—
296C2×#120—44no—
297C2×#120C2312yes—
298C2×#120C2312yes—
299C2×#120C2312yes—
300C2×#120C2312yes—
301C2×#120C2312yes—
302C2×#120C2312yes—
303C2×#120C2314yes—
304C2×#120C2314yes—
305C2×#120C2314yes—
306C2×#120C2314yes—
307C2×#120C2314yes—
308C2×#120C2312yes—
309C2×#120C2312yes—
310C2×#120C2314yes—
311C2×#120C2312yes—
312C2×#120C2312yes—
313C2×#120C2314yes—
314C2×#120C2314yescomplemented
315#518—44no—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2312yes—
319C2×C4×D4C2312yes—
320C2×#117—44no—
321C2×#117C2314yes—
322C2×#117C2314yes—
323C2×#117C2312yes—
324C22×C4⋊C4C2312yes—
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2312yes—
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2312yes—
329C22×C4⋊C4C2312yes—
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C22⋊C4—44no—
334C22×C22⋊C4—44no—
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2312yes—
344C22×C22⋊C4C2312yes—
345C22×C22⋊C4C2312yes—
346C22×C22⋊C4C2312yes—
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2312yes—
349C22×C22⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2314yes—
357C22×C22⋊C4C2314yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2312yes—
368C22×C22⋊C4C2312yes—
369C22×C42C2312yes—
370C22×C42C2312yes—
371#401C2314yescomplemented
372#401C2314yescomplemented
373#400C2314yescomplemented
374#400C2314yescomplemented
375#400C2314yescomplemented
376#400C2314yescomplemented
377#400C2314yescomplemented
378#400C2314yescomplemented
379#400C2314yescomplemented
380#400C2314yescomplemented
381#400C2314yescomplemented
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2314yescomplemented
387#399C2314yescomplemented
388#399C2314yescomplemented
389#398C2314yescomplemented
390#398C2314yescomplemented
391#398C2314yescomplemented
392#398C2314yescomplemented
393#398C2314yescomplemented
394#398C2314yescomplemented
395#398C2314yescomplemented
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yescomplemented
407#397C2314yescomplemented
408#397C2314yescomplemented
409#397C2314yescomplemented
410#397C2314yescomplemented
411#397C2314yescomplemented
412#397C2314yescomplemented
413#397C2314yescomplemented
414#397C2314yescomplemented
415#397C2314yescomplemented
416#397C2314yescomplemented
417#397C2314yescomplemented
418#397C2314yescomplemented
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yescomplemented
426#396C2314yescomplemented
427#396C2314yescomplemented
428#396C2314yescomplemented
429#396C2314yescomplemented
430#396C2314yescomplemented
431#396C2314yescomplemented
432#396C2314yescomplemented
433#395C2314yescomplemented
434#395C2314yescomplemented
435#395C2314yescomplemented
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#394C2314yes—
455#394C2314yes—
456#394C2314yescomplemented
457#394C2314yescomplemented
458#394C2314yescomplemented
459#394C2314yescomplemented
460#394C2314yescomplemented
461#394C2314yescomplemented
462#394C2314yescomplemented
463#394C2314yescomplemented
464#394C2314yescomplemented
465#394C2314yescomplemented
466#394C2314yescomplemented
467#394C2314yescomplemented
468#394C2314yescomplemented
469#394C2314yescomplemented
470#394C2314yescomplemented
471#393C2314yes—
472#393C2314yes—
473#393C2314yescomplemented
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yescomplemented
489#392C2314yescomplemented
490#392C2314yescomplemented
491#390C2314yes—
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2314yescomplemented
506#390C2314yescomplemented
507#389C2314yescomplemented
508#389C2314yescomplemented
509#389C2314yescomplemented
510#389C2314yescomplemented
511#388C2314yes—
512#388C2314yes—
513#388C2314yes—
514#388C2314yes—
515#388C2314yes—
516#388C2314yes—
517#388C2314yescomplemented
518#388C2314yescomplemented
519#388C2314yescomplemented
520#388C2314yescomplemented
521#388C2314yescomplemented
522#388C2314yescomplemented
523#388C2314yescomplemented
524#388C2314yescomplemented
525#388C2314yescomplemented
526#388C2314yescomplemented
527#388C2314yescomplemented
528#388C2314yescomplemented
529#388C2314yescomplemented
530#388C2314yescomplemented
531#388C2314yescomplemented
532#388C2314yescomplemented
533#388C2314yescomplemented
534#388C2314yescomplemented
535#387C2314yescomplemented
536#387C2314yescomplemented
537#387C2314yescomplemented
538#387C2314yescomplemented
539#387C2314yescomplemented
540#387C2314yescomplemented
541#387C2314yescomplemented
542#387C2314yescomplemented
543#387C2314yescomplemented
544#387C2314yescomplemented
545#387C2314yescomplemented
546#387C2314yescomplemented
547#386C2314yes—
548#386C2314yes—
549#386C2314yes—
550#386C2314yes—
551#386C2314yes—
552#386C2314yes—
553#386C2314yes—
554#386C2314yes—
555#386C2314yes—
556#386C2314yes—
557#386C2312yes—
558#386C2312yes—
559#386C2312yes—
560#386C2312yes—
561#386C2312yes—
562#386C2312yes—
563#386C2312yes—
564#386C2312yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2314yes—
570#386C2314yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2314yes—
575#386C2314yes—
576#386C2314yes—
577#386C2314yes—
578#386C2312yes—
579#386C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2312yes—
586#386C2312yes—
587#386C2314yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yescomplemented
592#386C2314yescomplemented
593#386C2314yescomplemented
594#386C2314yescomplemented
595#386C2314yescomplemented
596#386C2314yescomplemented
597#385C2314yes—
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2312yes—
608#385C2312yes—
609#385C2312yes—
610#385C2312yes—
611#385C2314yes—
612#385C2314yes—
613#385C2314yescomplemented
614#385C2314yescomplemented
615#385C2314yescomplemented
616#385C2314yescomplemented
617#385C2314yescomplemented
618#385C2314yescomplemented
619#385C2314yescomplemented
620#385C2314yescomplemented
621#385C2314yescomplemented
622#385C2314yescomplemented
623#383C2314yescomplemented
624#383C2314yescomplemented
625#381C2312yes—
626#381C2312yes—
627#381C2312yes—
628#381C2312yes—
629#381C2312yes—
630#381C2312yes—
631#381C2312yes—
632#381C2312yes—
633#381C2314yes—
634#381C2314yes—
635#381C2312yes—
636#381C2312yes—
637#381C2314yes—
638#381C2314yescomplemented
639#380C2314yes—
640#380C2314yes—
641#380C2312yes—
642#380C2312yes—
643#380C2312yes—
644#380C2312yes—
645#380C2314yes—
646#380C2314yes—
647#380C2314yes—
648#380C2314yes—
649#380C2314yes—
650#380C2314yes—
651#380C2314yescomplemented
652#380C2314yescomplemented
653#379C2312yes—
654#379C2312yes—
655#379C2312yes—
656#379C2312yes—
657#379C2312yes—
658#379C2312yes—
659#379C2312yes—
660#379C2312yes—
661#379C2312yes—
662#379C2312yes—
663#379C2314yes—
664#379C2314yescomplemented
665#379C2314yescomplemented
666#379C2314yescomplemented
667C4×C22⋊C4C2314yes—
668C4×C22⋊C4C2314yes—
669C2×#95C2312yes—
670C2×#95C2312yes—
671C2×#95C2312yes—
672C2×#95C2312yes—
673C2×#95C2312yes—
674C2×#95C2312yes—
675C2×#95C2312yes—
676C25—24no—
677C25—24no—
678C25—24no—
679C25—44no—
680C25—82no—
681C25C2411yescharacteristic
682C25C2412yes—
683C25C2412yes—
684C25C2411yescharacteristic
685C25C2411yescharacteristic
686C25C2411yescharacteristic
687C25C2411yescharacteristic
688C25C2411yescharacteristic
689C25C2412yes—
690C25C2411yescharacteristic
691H(5,𝔽2)—464no—
692C2×#41—44no—
693C2×#41—44no—
694C2×#41—44no—
695C2×#41—44no—
696C2×#41—44no—
697C2×#41—44no—
698C2×#41—44no—
699C2×#41—44no—
700C2×#41—44no—
701C22×Q8C2412yes—
702C22×D4—24no—
703C22×D4—24no—
704C22×D4—24no—
705C22×D4—24no—
706C22×D4—24no—
707C22×D4—24no—
708C22×D4—24no—
709C22×D4—24no—
710C22×D4—24no—
711C22×D4—24no—
712C22×D4—24no—
713C22×D4—24no—
714C22×D4—44no—
715C22×D4—44no—
716C22×D4—44no—
717C22×D4—42no—
718C22×D4—42no—
719C22×D4—42no—
720C22×D4—44no—
721C22×D4—44no—
722C22×D4—44no—
723C22×D4—44no—
724C22×D4—44no—
725C22×D4—44no—
726C22×D4—44no—
727C22×D4—44no—
728C22×D4—44no—
729C22×D4—44no—
730C22×D4—44no—
731C22×D4—44no—
732C22×D4—44no—
733C22×D4—82no—
734C22×D4—82no—
735C22×D4—82no—
736C22×D4—82no—
737C22×D4—82no—
738C22×D4C2412yes—
739C22×D4C2412yes—
740C22×D4C2412yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2412yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2412yes—
758C22×D4C2412yes—
759C22×D4C2412yes—
760C23×C4—24no—
761C23×C4—24no—
762C23×C4—24no—
763C23×C4—24no—
764C23×C4—44no—
765C23×C4—44no—
766C23×C4—82no—
767C23×C4—82no—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2412yes—
781C23×C4C2412yes—
782C23×C4C2412yes—
783C23×C4C2412yes—
784C23×C4C2412yes—
785C23×C4C2412yes—
786C23×C4C2411yescharacteristic
787C23×C4C2412yes—
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2412yes—
793C23×C4C2412yes—
794C23×C4C2412yes—
795C23×C4C2412yes—
796C23×C4C2412yes—
797#126—84no—
798#126—84no—
799#123—48no—
800#123—44no—
801#123—44no—
802#123—48no—
803#123—48no—
804#123—44no—
805#123—48no—
806#123—44no—
807#123—48no—
808#123—44no—
809#123—44no—
810#123—48no—
811#123—44no—
812#123—44no—
813#123—44no—
814#123—44no—
815#123—84no—
816#123—84no—
817#121—48no—
818#121—48no—
819#121—48no—
820#121—48no—
821#121—48no—
822#121—48no—
823#121—84no—
824#121—84no—
825#120—48no—
826#120—44no—
827#120—48no—
828#120—44no—
829#120—48no—
830#120—44no—
831#120—44no—
832#120—48no—
833#120—44no—
834#120—48no—
835#120—44no—
836#120—44no—
837#120—44no—
838#120—44no—
839#120—44no—
840#120—48no—
841#120—84no—
842#120—84no—
843C4×D4—44no—
844C4×D4—44no—
845C4×D4—44no—
846C4×D4—44no—
847#117—48no—
848#117—48no—
849#117—44no—
850C2×C4⋊C4—44no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4—44no—
853C2×C4⋊C4—44no—
854C2×C4⋊C4—44no—
855C2×C4⋊C4—42no—
856C2×C4⋊C4—42no—
857C2×C4⋊C4—82no—
858C2×C4⋊C4—82no—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—48no—
895C2×C22⋊C4—48no—
896C2×C22⋊C4—44no—
897C2×C22⋊C4—44no—
898C2×C22⋊C4—44no—
899C2×C22⋊C4—44no—
900C2×C22⋊C4—44no—
901C2×C22⋊C4—44no—
902C2×C22⋊C4—44no—
903C2×C22⋊C4—44no—
904C2×C22⋊C4—44no—
905C2×C22⋊C4—44no—
906C2×C22⋊C4—44no—
907C2×C22⋊C4—44no—
908C2×C22⋊C4—42no—
909C2×C22⋊C4—42no—
910C2×C22⋊C4—42no—
911C2×C22⋊C4—42no—
912C2×C22⋊C4—44no—
913C2×C22⋊C4—44no—
914C2×C22⋊C4—44no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—42no—
917C2×C22⋊C4—82no—
918C2×C22⋊C4—82no—
919C2×C22⋊C4—82no—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2412yes—
922C2×C22⋊C4C2412yes—
923C2×C22⋊C4C2412yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2412yes—
930C2×C22⋊C4C2412yes—
931C2×C22⋊C4C2412yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2412yes—
934C2×C22⋊C4C2412yes—
935C2×C22⋊C4C2412yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2412yes—
940C2×C22⋊C4C2412yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2412yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
994C2×C42—44no—
995C2×C42—82no—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2412yes—
999C2×C42C2412yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040C24—22no—
1041C24—24no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—24no—
1046C24—24no—
1047C24—24no—
1048C24—24no—
1049C24—24no—
1050C24—24no—
1051C24—24no—
1052C24—24no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—42no—
1088C24—42no—
1089C24—44no—
1090C24—44no—
1091C24—416no—
1092C24—416no—
1093C24—816no—
1094C24—816no—
1095C24—88no—
1096C24H(5,𝔽2)14yes—
1097C24H(5,𝔽2)14yes—
1098C24H(5,𝔽2)14yes—
1099C24C2512yes—
1100C24C2512yes—
1101C24C2512yes—
1102C24C2512yes—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2511yescharacteristic
1106C24C2511yescharacteristic
1107C24C2511yescharacteristic
1108#41—432no—
1109#41—432no—
1110#41—432no—
1111C2×Q8—42no—
1112C2×Q8—42no—
1113C2×Q8—42no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—24no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—24no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—24no—
1132C2×D4—24no—
1133C2×D4—24no—
1134C2×D4—24no—
1135C2×D4—24no—
1136C2×D4—24no—
1137C2×D4—24no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—432no—
1181C2×D4—432no—
1182C2×D4—432no—
1183C2×D4—416no—
1184C2×D4—416no—
1185C2×D4—416no—
1186C2×D4—416no—
1187C2×D4—816no—
1188C2×D4—816no—
1189C2×D4—816no—
1190C2×D4—88no—
1191C2×D4—88no—
1192C2×D4—88no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—416no—
1273C22×C4—88no—
1274C22×C4—816no—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—28no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
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—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—44no—
1398C42—42no—
1399C42—42no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—28no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—24no—
1429C23—24no—
1430C23—24no—
1431C23—22no—
1432C23—24no—
1433C23—22no—
1434C23—24no—
1435C23—24no—
1436C23—24no—
1437C23—22no—
1438C23—24no—
1439C23—22no—
1440C23—44no—
1441C23—44no—
1442C23—48no—
1443C23—48no—
1444C23—48no—
1445C23—48no—
1446C23—48no—
1447C23—48no—
1448C23—48no—
1449C23—48no—
1450C23—48no—
1451C23—48no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—48no—
1457C23—48no—
1458C23—48no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—84no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23—82no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—82no—
1480C23—82no—
1481C23—82no—
1482C23—82no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—864no—
1489C23—162no—
1490C23—162no—
1491C23—164no—
1492C23—164no—
1493C23#560116yes—
1494C23C2×H(5,𝔽2)12yes—
1495C23C2×H(5,𝔽2)12yes—
1496C23C2×H(5,𝔽2)12yes—
1497C23C2×H(5,𝔽2)12yes—
1498C23C2×H(5,𝔽2)12yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23C2×H(5,𝔽2)12yes—
1501C23C2×H(5,𝔽2)12yes—
1502C23C2×H(5,𝔽2)12yes—
1503C23#58514yes—
1504C23C2611yescharacteristic
1505Q8—48no—
1506D4—48no—
1507D4—48no—
1508D4—48no—
1509D4—48no—
1510D4—48no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—48no—
1515D4—48no—
1516D4—48no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521D4—88no—
1522D4—88no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—164no—
1527D4—164no—
1528C2×C4—22no—
1529C2×C4—24no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—44no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—48no—
1585C2×C4—48no—
1586C2×C4—48no—
1587C2×C4—48no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—82no—
1596C2×C4—82no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—88no—
1601C2×C4—84no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—88no—
1605C2×C4—162no—
1606C2×C4—162no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—24no—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—24no—
1622C22—416no—
1623C22—416no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—44no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—44no—
1643C22—44no—
1644C22—44no—
1645C22—44no—
1646C22—44no—
1647C22—42no—
1648C22—44no—
1649C22—44no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—816no—
1656C22—816no—
1657C22—88no—
1658C22—164no—
1659C22—164no—
1660C22—164no—
1661C22—164no—
1662C22—168no—
1663C22C2×#56014yes—
1664C22C2×#56014yes—
1665C22C2×#56014yes—
1666C22C22×H(5,𝔽2)11yescharacteristic
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×H(5,𝔽2)11yescharacteristic
1669C22C2×#58512yes—
1670C22H(7,𝔽2)12yes—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—44no—
1678C4—44no—
1679C4—44no—
1680C4—44no—
1681C4—44no—
1682C4—44no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C2—24no—
1690C2—24no—
1691C2—24no—
1692C2—44no—
1693C2—82no—
1694C2—82no—
1695C2—82no—
1696C2—82no—
1697C2—82no—
1698C2C22×#56011yescharacteristic
1699C2#6282011yescharacteristic
1700C2#6286211yescharacteristic
1701C2#6290012yes—
1702C2#6290012yes—
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. #52741C2semidirect
2. #52718C2semidirect
3. #52397C2semidirect
4. #52375C2semidirect
5. #52345C2semidirect
6. #52320C2semidirect
7. #46335C2semidirect
8. #46334C2semidirect
9. #45732C2semidirect
10. #45563C2semidirect
11. #45556C2semidirect
12. #45465C2semidirect
13. #35447C2semidirect
14. #35446C2semidirect
15. #35351C2semidirect
16. #35348C2semidirect
17. #35347C2semidirect
18. #35346C2semidirect
19. #35097C2semidirect
20. #35089C2semidirect
21. #34995C2semidirect
22. #34995C2semidirect
23. #34992C2semidirect
24. #34981C2semidirect
25. C2×#2539C2semidirect
26. C2×#2411C2semidirect
27. C2×#2412C2semidirect
34. C22×#123C22semidirect
39. C22×#120C22semidirect
40. C2×#518C22semidirect
41. C22×#117C22semidirect
42. C23×C22⋊C4C22semidirect
43. C23×C22⋊C4C22semidirect
44. #2854C22semidirect
45. #2853C22semidirect
46. #2852C22semidirect
47. #2852C22semidirect
48. #2849C22semidirect
49. #2847C22semidirect
50. #2841C22semidirect
51. #2838C22semidirect
52. #2838C22semidirect
53. #2830C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2828C22semidirect
61. #2827C22semidirect
62. #2827C22semidirect
63. #2826C22semidirect
64. #2826C22semidirect
65. #2825C22semidirect
66. #2825C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2812C22semidirect
70. #2803C22semidirect
71. #2803C22semidirect
72. #2797C22semidirect
73. #2797C22semidirect
74. #2796C22semidirect
75. #2796C22semidirect
76. #2784C22semidirect
77. #2780C22semidirect
78. #2780C22semidirect
79. #2778C22semidirect
80. #2778C22semidirect
81. #2757C22semidirect
82. #2757C22semidirect
83. #2756C22semidirect
84. #2756C22semidirect
85. #2752C22semidirect
86. #2749C22semidirect
87. #2749C22semidirect
88. #2748C22semidirect
89. #2746C22semidirect
90. #2746C22semidirect
91. #2742C22semidirect
92. #2737C22semidirect
93. #2737C22semidirect
94. #2714C22semidirect
95. #2714C22semidirect
96. #2705C22semidirect
97. #2705C22semidirect
98. #2703C22semidirect
99. #2703C22semidirect
100. #2699C22semidirect
101. #2697C22semidirect
102. #2693C22semidirect
103. #2691C22semidirect
104. #2691C22semidirect
105. #2685C22semidirect
106. #2685C22semidirect
107. #2678C22semidirect
108. #2678C22semidirect
109. #2668C22semidirect
110. #2643C22semidirect
111. #2643C22semidirect
112. #2623C22semidirect
113. #2622C22semidirect
114. #2618C22semidirect
115. #2617C22semidirect
116. #2539C22semidirect
117. #2539C22semidirect
118. #2539C22semidirect
119. #2539C22semidirect
120. #2534C22semidirect
121. #2534C22semidirect
122. #2534C22semidirect
123. #2534C22semidirect
124. #2510C22semidirect
125. #2510C22semidirect
126. #2498C22semidirect
127. #2498C22semidirect
128. #2493C22semidirect
129. #2493C22semidirect
130. #2486C22semidirect
131. #2486C22semidirect
132. #2484C22semidirect
133. #2484C22semidirect
134. #2483C22semidirect
135. #2483C22semidirect
136. #2482C22semidirect
137. #2482C22semidirect
138. #2481C22semidirect
139. #2481C22semidirect
140. #2480C22semidirect
141. #2480C22semidirect
142. #2444C22semidirect
143. #2444C22semidirect
144. #2443C22semidirect
145. #2443C22semidirect
146. #2430C22semidirect
147. #2430C22semidirect
148. #2425C22semidirect
149. #2425C22semidirect
150. #2424C22semidirect
151. #2424C22semidirect
152. #2413C22semidirect
153. #2413C22semidirect
154. #2413C22semidirect
155. #2412C22semidirect
156. #2412C22semidirect
157. #2412C22semidirect
158. #2412C22semidirect
159. #2412C22semidirect
160. #2412C22semidirect
161. #2412C22semidirect
162. #2412C22semidirect
163. #2412C22semidirect
164. #2411C22semidirect
165. #2411C22semidirect
166. #2411C22semidirect
167. #2411C22semidirect
168. #2411C22semidirect
169. #2411C22semidirect
170. #2411C22semidirect
171. #2410C22semidirect
172. #2410C22semidirect
173. #2410C22semidirect
174. #2410C22semidirect
175. #2410C22semidirect
176. #2408C22semidirect
177. #2408C22semidirect
178. #2406C22semidirect
179. #2406C22semidirect
180. #2406C22semidirect
181. #2406C22semidirect
182. #2406C22semidirect
183. #2405C22semidirect
184. #2405C22semidirect
185. #2405C22semidirect
186. #2405C22semidirect
187. #2405C22semidirect
188. #2405C22semidirect
189. #2405C22semidirect
191. #2404C22semidirect
192. #2404C22semidirect
193. #2404C22semidirect
194. #2404C22semidirect
196. #2403C22semidirect
197. #2403C22semidirect
198. #2403C22semidirect
199. #2403C22semidirect
200. C2×#399C22semidirect
201. C2×#397C22semidirect
202. C2×#396C22semidirect
203. C2×#394C22semidirect
204. C2×#394C22semidirect
205. C2×#392C22semidirect
206. #2377C22semidirect
207. #2377C22semidirect
208. #2376C22semidirect
209. #2375C22semidirect
210. #2315C22semidirect
211. #2315C22semidirect
212. #2315C22semidirect
213. #2315C22semidirect
221. #2308C22semidirect
222. C2×#390C22semidirect
223. C2×#390C22semidirect
224. C2×#390C22semidirect
225. C2×#388C22semidirect
228. C2×#386C22semidirect
229. C2×#385C22semidirect
230. C2×#385C22semidirect
231. C2×#381C22semidirect
232. C2×#380C22semidirect
233. C2×#379C22semidirect
234. C2×C4×C22⋊C4C22semidirect
260. C2×#126C23semidirect
261. C2×#126C23semidirect
283. C2×#123C23semidirect
314. C2×#120C23semidirect
371. #401C23semidirect
372. #401C23semidirect
373. #400C23semidirect
374. #400C23semidirect
375. #400C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
379. #400C23semidirect
380. #400C23semidirect
381. #400C23semidirect
386. #399C23semidirect
387. #399C23semidirect
388. #399C23semidirect
389. #398C23semidirect
390. #398C23semidirect
391. #398C23semidirect
392. #398C23semidirect
393. #398C23semidirect
394. #398C23semidirect
395. #398C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
410. #397C23semidirect
411. #397C23semidirect
412. #397C23semidirect
413. #397C23semidirect
414. #397C23semidirect
415. #397C23semidirect
416. #397C23semidirect
417. #397C23semidirect
418. #397C23semidirect
425. #396C23semidirect
426. #396C23semidirect
427. #396C23semidirect
428. #396C23semidirect
429. #396C23semidirect
430. #396C23semidirect
431. #396C23semidirect
432. #396C23semidirect
433. #395C23semidirect
434. #395C23semidirect
435. #395C23semidirect
456. #394C23semidirect
457. #394C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
464. #394C23semidirect
465. #394C23semidirect
466. #394C23semidirect
467. #394C23semidirect
468. #394C23semidirect
469. #394C23semidirect
470. #394C23semidirect
473. #393C23semidirect
488. #392C23semidirect
489. #392C23semidirect
490. #392C23semidirect
505. #390C23semidirect
506. #390C23semidirect
507. #389C23semidirect
508. #389C23semidirect
509. #389C23semidirect
510. #389C23semidirect
517. #388C23semidirect
518. #388C23semidirect
519. #388C23semidirect
520. #388C23semidirect
521. #388C23semidirect
522. #388C23semidirect
523. #388C23semidirect
524. #388C23semidirect
525. #388C23semidirect
526. #388C23semidirect
527. #388C23semidirect
528. #388C23semidirect
529. #388C23semidirect
530. #388C23semidirect
531. #388C23semidirect
532. #388C23semidirect
533. #388C23semidirect
534. #388C23semidirect
535. #387C23semidirect
536. #387C23semidirect
537. #387C23semidirect
538. #387C23semidirect
539. #387C23semidirect
540. #387C23semidirect
541. #387C23semidirect
542. #387C23semidirect
543. #387C23semidirect
544. #387C23semidirect
545. #387C23semidirect
546. #387C23semidirect
591. #386C23semidirect
592. #386C23semidirect
593. #386C23semidirect
594. #386C23semidirect
595. #386C23semidirect
596. #386C23semidirect
613. #385C23semidirect
614. #385C23semidirect
615. #385C23semidirect
616. #385C23semidirect
617. #385C23semidirect
618. #385C23semidirect
619. #385C23semidirect
620. #385C23semidirect
621. #385C23semidirect
622. #385C23semidirect
623. #383C23semidirect
624. #383C23semidirect
638. #381C23semidirect
651. #380C23semidirect
652. #380C23semidirect
664. #379C23semidirect
665. #379C23semidirect
666. #379C23semidirect

Maximal subgroups

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

subgroupindex
#527412
#527182
#523972
#523752
#523452
#523202
#463352
#463342
#457322
#455632
#455562
#454652
#354472
#354462
#353512
#353482
#353472
#353462
#350972
#350892
#349952
#349922
#349812
C2×#25392
C2×#24112
C2×#24122