Finite Group Databasebeta

← #8093833

Subgroups — #8093833

Order 512.

6410 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52347C214yesmaximal, complemented
2#52347C214yesmaximal, complemented
3#52345C214yesmaximal, complemented
4#52340C214yesmaximal, complemented
5#52339C214yesmaximal, complemented
6#52320C214yesmaximal, complemented
7#45732C214yesmaximal, complemented
8#45588C214yesmaximal, complemented
9#45588C214yesmaximal, complemented
10#45563C214yesmaximal, complemented
11#45538C214yesmaximal, complemented
12#45457C214yesmaximal, complemented
13#35463C211yesmaximal, characteristic, complemented
14#35447C211yesmaximal, characteristic, complemented
15#35370C211yesmaximal, characteristic, complemented
16#35369C211yesmaximal, characteristic, complemented
17#35360C211yesmaximal, characteristic, complemented
18#35348C211yesmaximal, characteristic, complemented
19#35097C211yesmaximal, characteristic, complemented
20#35089C211yesmaximal, characteristic, complemented
21#34984C211yesmaximal, characteristic, complemented
22#34983C211yesmaximal, characteristic, complemented
23#34980C211yesmaximal, characteristic, complemented
24#34980C211yesmaximal, characteristic, complemented
25C2×#2534C211yesmaximal, characteristic, complemented
26C2×#2411C211yesmaximal, characteristic, complemented
27C2×#2405C211yesmaximal, characteristic, complemented
28C24×D4C2211yescharacteristic
29C2×#534C2211yescharacteristic
30C2×#534C2211yescharacteristic
31C2×#534C2211yescharacteristic
32C2×#534C2211yescharacteristic
33C2×#534C2211yescharacteristic, complemented
34C22×#123C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic, complemented
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C2×#518C2211yescharacteristic, complemented
41C22×C4×D4C2211yescharacteristic, complemented
42C22×#117C2211yescharacteristic, complemented
43C23×C22⋊C4C2211yescharacteristic
44#2854C2214yescomplemented
45#2854C2212yescomplemented
46#2853C2212yescomplemented
47#2853C2214yescomplemented
48#2849C2212yescomplemented
49#2849C2212yescomplemented
50#2849C2212yescomplemented
51#2847C2212yescomplemented
52#2846C2212yescomplemented
53#2846C2212yescomplemented
54#2842C2214yescomplemented
55#2837C2214yescomplemented
56#2837C2214yescomplemented
57#2837C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2829C2214yescomplemented
62#2829C2214yescomplemented
63#2829C2214yescomplemented
64#2828C2214yescomplemented
65#2828C2214yescomplemented
66#2827C2214yescomplemented
67#2827C2214yescomplemented
68#2826C2214yescomplemented
69#2826C2214yescomplemented
70#2825C2214yescomplemented
71#2823C2214yescomplemented
72#2813C2214yescomplemented
73#2812C2214yescomplemented
74#2803C2214yescomplemented
75#2803C2214yescomplemented
76#2801C2214yescomplemented
77#2797C2214yescomplemented
78#2796C2214yescomplemented
79#2796C2214yescomplemented
80#2795C2214yescomplemented
81#2795C2214yescomplemented
82#2795C2214yescomplemented
83#2790C2214yescomplemented
84#2790C2214yescomplemented
85#2790C2214yescomplemented
86#2780C2214yescomplemented
87#2780C2214yescomplemented
88#2756C2214yescomplemented
89#2756C2214yescomplemented
90#2752C2214yescomplemented
91#2752C2214yescomplemented
92#2749C2214yescomplemented
93#2746C2214yescomplemented
94#2746C2214yescomplemented
95#2735C2214yescomplemented
96#2735C2214yescomplemented
97#2735C2214yescomplemented
98#2714C2214yescomplemented
99#2714C2214yescomplemented
100#2705C2214yescomplemented
101#2705C2214yescomplemented
102#2703C2214yescomplemented
103#2699C2214yescomplemented
104#2697C2214yescomplemented
105#2697C2214yescomplemented
106#2691C2214yescomplemented
107#2685C2214yescomplemented
108#2685C2214yescomplemented
109#2685C2214yescomplemented
110#2685C2214yescomplemented
111#2678C2214yescomplemented
112#2678C2214yescomplemented
113#2668C2214yescomplemented
114#2623C2214yescomplemented
115#2623C2212yescomplemented
116#2622C2212yescomplemented
117#2618C2214yescomplemented
118#2618C2212yescomplemented
119#2617C2212yescomplemented
120#2613C2212yescomplemented
121#2613C2212yescomplemented
122#2613C2212yescomplemented
123#2613C2212yescomplemented
124#2539C2214yescomplemented
125#2539C2212yescomplemented
126#2539C2214yescomplemented
127#2539C2212yescomplemented
128#2534C2214yescomplemented
129#2534C2214yescomplemented
130#2534C2214yescomplemented
131#2534C2214yescomplemented
132#2534C2214yescomplemented
133#2534C2214yescomplemented
134#2510C2214yescomplemented
135#2510C2214yescomplemented
136#2501C2214yescomplemented
137#2501C2212yescomplemented
138#2501C2214yescomplemented
139#2501C2212yescomplemented
140#2498C2214yescomplemented
141#2498C2214yescomplemented
142#2498C2214yescomplemented
143#2493C2214yescomplemented
144#2486C2214yescomplemented
145#2484C2214yescomplemented
146#2482C2214yescomplemented
147#2481C2214yescomplemented
148#2481C2214yescomplemented
149#2480C2214yescomplemented
150#2480C2214yescomplemented
151#2480C2214yescomplemented
152#2480C2214yescomplemented
153#2480C2214yescomplemented
154#2480C2214yescomplemented
155#2480C2214yescomplemented
156#2444C2214yescomplemented
157#2444C2214yescomplemented
158#2443C2214yescomplemented
159#2443C2214yescomplemented
160#2425C2214yescomplemented
161#2425C2214yescomplemented
162#2425C2214yescomplemented
163#2425C2214yescomplemented
164#2424C2214yes—
165#2424C2214yescomplemented
166#2424C2214yescomplemented
167#2424C2214yescomplemented
168#2419C2214yescomplemented
169#2419C2214yescomplemented
170#2418C2214yescomplemented
171#2418C2214yescomplemented
172#2413C2214yescomplemented
173#2413C2214yescomplemented
174#2413C2212yescomplemented
175#2413C2212yescomplemented
176#2412C2212yescomplemented
177#2412C2212yescomplemented
178#2412C2214yescomplemented
179#2411C2214yescomplemented
180#2411C2214yescomplemented
181#2411C2214yescomplemented
182#2411C2214yescomplemented
183#2411C2214yescomplemented
184#2411C2214yescomplemented
185#2411C2214yescomplemented
186#2410C2214yes—
187#2410C2214yes—
188#2410C2214yes—
189#2410C2214yes—
190#2410C2214yescomplemented
191#2408C2214yescomplemented
192#2405C2214yescomplemented
193#2405C2214yescomplemented
194#2405C2214yescomplemented
195#2405C2214yescomplemented
196#2405C2214yescomplemented
197#2405C2214yescomplemented
198#2403C2214yescomplemented
199#2403C2214yescomplemented
200C2×#396C2212yescomplemented
201C2×#396C2212yescomplemented
202C2×#394C2212yescomplemented
203C2×#394C2212yescomplemented
204C2×#394C2212yescomplemented
205C2×#394C2212yescomplemented
206#2383C2214yescomplemented
207#2377C2214yescomplemented
208#2375C2214yescomplemented
209#2375C2214yescomplemented
210#2315C2211yescharacteristic, complemented
211#2315C2211yescharacteristic, complemented
212#2315C2211yescharacteristic, complemented
213#2315C2211yescharacteristic, complemented
214#2308C2211yescharacteristic
215#2308C2211yescharacteristic
216#2308C2211yescharacteristic
217#2308C2211yescharacteristic
218#2308C2211yescharacteristic, complemented
219C2×#390C2212yescomplemented
220C2×#388C2212yescomplemented
221C2×#388C2212yescomplemented
222C2×#386C2211yescharacteristic
223C2×#386C2211yescharacteristic
224C2×#386C2212yescomplemented
225C2×#386C2211yescharacteristic, complemented
226C2×#385C2212yescomplemented
227C2×#385C2211yescharacteristic, complemented
228C2×#381C2211yescharacteristic, complemented
229C2×#380C2211yescharacteristic, complemented
230C2×#379C2211yescharacteristic
231C2×#379C2211yescharacteristic
232C2×#379C2211yescharacteristic
233C2×#379C2212yescomplemented
234#2273C2211yescharacteristic, complemented
235C26C2311yescharacteristic
236C26C2311yescharacteristic
237C23×D4—44no—
238C23×D4—44no—
239C23×D4—44no—
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2314yes—
247C23×D4C2314yes—
248C23×D4C2312yes—
249C23×D4C2312yes—
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic, complemented
254#534—44no—
255#534—44no—
256#534—44no—
257#534—44no—
258#534—44no—
259C2×#126C2314yes—
260C2×#126C2314yescomplemented
261C2×#126C2314yescomplemented
262C2×#123—44no—
263C2×#123—44no—
264C2×#123—44no—
265C2×#123—44no—
266C2×#123C2312yes—
267C2×#123C2312yes—
268C2×#123C2312yes—
269C2×#123C2312yes—
270C2×#123C2312yes—
271C2×#123C2312yes—
272C2×#123C2312yes—
273C2×#123C2312yes—
274C2×#123C2312yes—
275C2×#123C2312yes—
276C2×#123C2314yes—
277C2×#123C2314yes—
278C2×#123C2312yes—
279C2×#123C2312yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2312yescomplemented
283C2×#123C2312yescomplemented
284C2×#123C2312yescomplemented
285C2×#123C2314yescomplemented
286C2×#123C2312yescomplemented
287C2×#123C2314yescomplemented
288C2×#123C2314yescomplemented
289C2×#121C2312yes—
290C2×#121C2312yes—
291C2×#121C2314yes—
292C2×#121C2314yes—
293C2×#121C2312yes—
294C2×#121C2314yes—
295C2×#121C2312yes—
296C2×#121C2314yes—
297C2×#121C2314yescomplemented
298C2×#121C2314yescomplemented
299C2×#120—44no—
300C2×#120—44no—
301C2×#120C2312yes—
302C2×#120C2312yes—
303C2×#120C2312yes—
304C2×#120C2312yes—
305C2×#120C2312yes—
306C2×#120C2312yes—
307C2×#120C2314yes—
308C2×#120C2314yes—
309C2×#120C2312yes—
310C2×#120C2312yes—
311C2×#120C2312yes—
312C2×#120C2312yes—
313C2×#120C2312yes—
314C2×#120C2312yes—
315C2×#120C2314yes—
316C2×#120C2314yes—
317C2×#120C2314yes—
318C2×#120C2314yes—
319C2×#120C2312yescomplemented
320C2×#120C2312yescomplemented
321#518—44no—
322C2×C4×D4—44no—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×C4×D4C2314yescomplemented
326C2×C4×D4C2314yescomplemented
327C2×#117—44no—
328C2×#117C2314yes—
329C2×#117C2314yescomplemented
330C2×#117C2312yescomplemented
331C22×C4⋊C4C2312yes—
332C22×C4⋊C4C2312yes—
333C22×C4⋊C4C2312yescomplemented
334C22×C4⋊C4C2311yescharacteristic, complemented
335C22×C4⋊C4C2311yescharacteristic, complemented
336C22×C4⋊C4C2312yescomplemented
337C22×C4⋊C4C2311yescharacteristic, complemented
338C22×C4⋊C4C2312yescomplemented
339C22×C4⋊C4C2312yescomplemented
340C22×C22⋊C4—44no—
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2312yes—
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2312yes—
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2312yes—
359C22×C22⋊C4C2312yes—
360C22×C22⋊C4C2312yes—
361C22×C22⋊C4C2312yes—
362C22×C22⋊C4C2312yes—
363C22×C22⋊C4C2312yes—
364C22×C22⋊C4C2312yes—
365C22×C22⋊C4C2312yes—
366C22×C22⋊C4C2312yes—
367C22×C22⋊C4C2311yescharacteristic, complemented
368C22×C22⋊C4C2311yescharacteristic, complemented
369C22×C22⋊C4C2312yescomplemented
370C22×C22⋊C4C2312yescomplemented
371C22×C22⋊C4C2311yescharacteristic, complemented
372C22×C22⋊C4C2312yescomplemented
373C22×C42C2312yescomplemented
374C22×C42C2311yescharacteristic, complemented
375#401C2314yescomplemented
376#400C2314yescomplemented
377#400C2314yescomplemented
378#400C2314yescomplemented
379#400C2314yescomplemented
380#400C2314yescomplemented
381#400C2314yescomplemented
382#400C2314yescomplemented
383#399C2314yescomplemented
384#399C2314yescomplemented
385#399C2314yescomplemented
386#399C2314yescomplemented
387#399C2314yescomplemented
388#399C2314yescomplemented
389#399C2314yescomplemented
390#399C2314yescomplemented
391#399C2314yescomplemented
392#399C2314yescomplemented
393#398C2314yescomplemented
394#398C2314yescomplemented
395#398C2314yescomplemented
396#398C2314yescomplemented
397#398C2314yescomplemented
398#398C2314yescomplemented
399#398C2314yescomplemented
400#398C2314yescomplemented
401#398C2314yescomplemented
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yescomplemented
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#397C2314yescomplemented
420#397C2314yescomplemented
421#397C2314yescomplemented
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#396C2314yes—
427#396C2314yes—
428#396C2314yescomplemented
429#396C2314yescomplemented
430#396C2314yescomplemented
431#396C2314yescomplemented
432#396C2314yescomplemented
433#396C2314yescomplemented
434#396C2314yescomplemented
435#396C2314yescomplemented
436#396C2314yescomplemented
437#396C2314yescomplemented
438#396C2314yescomplemented
439#396C2314yescomplemented
440#396C2314yescomplemented
441#396C2314yescomplemented
442#396C2314yescomplemented
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#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yescomplemented
466#394C2314yescomplemented
467#394C2314yescomplemented
468#394C2314yescomplemented
469#394C2314yescomplemented
470#394C2314yescomplemented
471#394C2314yescomplemented
472#394C2314yescomplemented
473#394C2314yescomplemented
474#394C2314yescomplemented
475#394C2314yescomplemented
476#394C2314yescomplemented
477#394C2314yescomplemented
478#394C2314yescomplemented
479#394C2314yescomplemented
480#394C2314yescomplemented
481#394C2314yescomplemented
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#392C2314yescomplemented
492#392C2314yescomplemented
493#392C2314yescomplemented
494#392C2314yescomplemented
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2314yescomplemented
499#390C2314yescomplemented
500#390C2314yescomplemented
501#390C2314yescomplemented
502#390C2314yescomplemented
503#390C2314yescomplemented
504#390C2314yescomplemented
505#390C2314yescomplemented
506#390C2314yescomplemented
507#390C2314yescomplemented
508#390C2314yescomplemented
509#390C2314yescomplemented
510#389C2314yescomplemented
511#389C2314yescomplemented
512#389C2314yescomplemented
513#389C2314yescomplemented
514#389C2314yescomplemented
515#388C2314yes—
516#388C2314yes—
517#388C2314yes—
518#388C2314yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
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#388C2314yescomplemented
536#388C2314yescomplemented
537#388C2314yescomplemented
538#388C2314yescomplemented
539#388C2314yescomplemented
540#388C2314yescomplemented
541#388C2314yescomplemented
542#388C2314yescomplemented
543#388C2314yescomplemented
544#388C2314yescomplemented
545#388C2314yescomplemented
546#388C2314yescomplemented
547#388C2314yescomplemented
548#388C2314yescomplemented
549#388C2314yescomplemented
550#387C2314yescomplemented
551#387C2314yescomplemented
552#387C2314yescomplemented
553#387C2314yescomplemented
554#387C2314yescomplemented
555#387C2314yescomplemented
556#387C2314yescomplemented
557#387C2314yescomplemented
558#387C2314yescomplemented
559#387C2314yescomplemented
560#387C2314yescomplemented
561#386C2312yes—
562#386C2312yes—
563#386C2314yes—
564#386C2314yes—
565#386C2314yes—
566#386C2314yes—
567#386C2314yes—
568#386C2314yes—
569#386C2312yes—
570#386C2312yes—
571#386C2314yes—
572#386C2314yes—
573#386C2314yes—
574#386C2312yes—
575#386C2312yes—
576#386C2314yes—
577#386C2314yes—
578#386C2312yes—
579#386C2312yes—
580#386C2314yes—
581#386C2314yes—
582#386C2314yes—
583#386C2314yes—
584#386C2314yes—
585#386C2314yes—
586#386C2314yescomplemented
587#386C2314yescomplemented
588#386C2314yescomplemented
589#386C2314yescomplemented
590#386C2314yescomplemented
591#386C2314yescomplemented
592#386C2314yescomplemented
593#386C2312yescomplemented
594#386C2312yescomplemented
595#386C2314yescomplemented
596#386C2314yescomplemented
597#386C2314yescomplemented
598#385C2314yes—
599#385C2314yes—
600#385C2314yes—
601#385C2314yes—
602#385C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2314yes—
608#385C2314yes—
609#385C2314yes—
610#385C2314yescomplemented
611#385C2314yescomplemented
612#385C2312yescomplemented
613#385C2312yescomplemented
614#385C2314yescomplemented
615#385C2314yescomplemented
616#385C2314yescomplemented
617#385C2312yescomplemented
618#385C2312yescomplemented
619#385C2312yescomplemented
620#385C2312yescomplemented
621#384C2314yescomplemented
622#384C2314yescomplemented
623#383C2314yescomplemented
624#381C2312yes—
625#381C2312yes—
626#381C2312yes—
627#381C2312yes—
628#381C2314yes—
629#381C2312yescomplemented
630#381C2314yescomplemented
631#381C2312yescomplemented
632#381C2312yescomplemented
633#381C2314yescomplemented
634#380C2314yes—
635#380C2314yes—
636#380C2312yescomplemented
637#380C2312yescomplemented
638#380C2314yescomplemented
639#380C2314yescomplemented
640#380C2314yescomplemented
641#380C2314yescomplemented
642#380C2314yescomplemented
643#380C2314yescomplemented
644#379C2312yes—
645#379C2312yes—
646#379C2312yes—
647#379C2312yes—
648#379C2314yes—
649#379C2314yes—
650#379C2314yes—
651#379C2312yes—
652#379C2312yes—
653#379C2314yes—
654#379C2314yes—
655#379C2312yes—
656#379C2312yes—
657#379C2314yes—
658#379C2314yes—
659#379C2314yes—
660#379C2314yes—
661#379C2314yes—
662#379C2314yes—
663#379C2314yes—
664#379C2312yescomplemented
665C4×C22⋊C4C2314yes—
666C4×C22⋊C4C2312yescomplemented
667C4×C22⋊C4C2314yescomplemented
668C4×C22⋊C4C2312yescomplemented
669C2×#95C2312yes—
670C2×#95C2312yes—
671C2×#95C2312yescomplemented
672C2×#95C2312yescomplemented
673C2×#95C2312yescomplemented
674C2×#95C2312yescomplemented
675C2×#95C2312yescomplemented
676C25—24no—
677C25—24no—
678C25—24no—
679C25—42no—
680C25—42no—
681C25—42no—
682C25—44no—
683C25—44no—
684C25—82no—
685C25—82no—
686C25C2411yescharacteristic
687C25C2412yes—
688C25C2412yes—
689C25C2411yescharacteristic
690C25C2411yescharacteristic
691C25C2411yescharacteristic
692C25C2411yescharacteristic
693C25C2411yescharacteristic
694C25C2414yes—
695C25C2411yescharacteristic
696C22×D4—24no—
697C22×D4—24no—
698C22×D4—24no—
699C22×D4—24no—
700C22×D4—24no—
701C22×D4—24no—
702C22×D4—24no—
703C22×D4—24no—
704C22×D4—24no—
705C22×D4—24no—
706C22×D4—24no—
707C22×D4—24no—
708C22×D4—42no—
709C22×D4—42no—
710C22×D4—42no—
711C22×D4—42no—
712C22×D4—42no—
713C22×D4—42no—
714C22×D4—44no—
715C22×D4—44no—
716C22×D4—48no—
717C22×D4—48no—
718C22×D4—48no—
719C22×D4—48no—
720C22×D4—48no—
721C22×D4—48no—
722C22×D4—44no—
723C22×D4—44no—
724C22×D4—464no—
725C22×D4—82no—
726C22×D4—82no—
727C22×D4C2412yes—
728C22×D4C2412yes—
729C22×D4C2412yes—
730C22×D4C2412yes—
731C22×D4C2412yes—
732C22×D4C2412yes—
733C22×D4C2412yes—
734C22×D4C2412yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2412yes—
738C22×D4C2414yes—
739C22×D4C2412yes—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C23×C4—24no—
749C23×C4—24no—
750C23×C4—24no—
751C23×C4—24no—
752C23×C4—42no—
753C23×C4—42no—
754C23×C4—42no—
755C23×C4—42no—
756C23×C4—82no—
757C23×C4—82no—
758C23×C4C2412yes—
759C23×C4C2411yescharacteristic
760C23×C4C2412yes—
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2412yes—
767C23×C4C2412yes—
768C23×C4C2412yes—
769C23×C4C2411yescharacteristic
770C23×C4C2412yes—
771C23×C4C2411yescharacteristic
772C23×C4C2412yes—
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2412yes—
777C23×C4C2412yes—
778C23×C4C2412yes—
779C23×C4C2411yescharacteristic
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783#126—48no—
784#126—84no—
785#126—84no—
786#123—44no—
787#123—44no—
788#123—48no—
789#123—44no—
790#123—48no—
791#123—48no—
792#123—44no—
793#123—48no—
794#123—48no—
795#123—44no—
796#123—44no—
797#123—44no—
798#123—44no—
799#123—44no—
800#123—44no—
801#123—44no—
802#123—44no—
803#123—44no—
804#123—44no—
805#123—44no—
806#123—44no—
807#123—84no—
808#123—84no—
809#121—48no—
810#121—44no—
811#121—48no—
812#121—44no—
813#121—48no—
814#121—44no—
815#121—48no—
816#121—44no—
817#121—84no—
818#121—84no—
819#120—48no—
820#120—48no—
821#120—44no—
822#120—44no—
823#120—44no—
824#120—44no—
825#120—48no—
826#120—48no—
827#120—44no—
828#120—44no—
829#120—44no—
830#120—44no—
831#120—44no—
832#120—44no—
833#120—44no—
834#120—44no—
835#120—44no—
836#120—44no—
837#120—84no—
838#120—84no—
839C4×D4—48no—
840C4×D4—48no—
841C4×D4—48no—
842C4×D4—48no—
843#117—48no—
844#117—48no—
845#117—44no—
846C2×C4⋊C4—44no—
847C2×C4⋊C4—44no—
848C2×C4⋊C4—44no—
849C2×C4⋊C4—42no—
850C2×C4⋊C4—42no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4—44no—
853C2×C4⋊C4—82no—
854C2×C4⋊C4—82no—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2412yes—
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—44no—
895C2×C22⋊C4—44no—
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—44no—
912C2×C22⋊C4—82no—
913C2×C22⋊C4—82no—
914C2×C22⋊C4—82no—
915C2×C22⋊C4—82no—
916C2×C22⋊C4—82no—
917C2×C22⋊C4—82no—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C42—44no—
999C2×C42—42no—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
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—22no—
1046C24—22no—
1047C24—22no—
1048C24—24no—
1049C24—24no—
1050C24—24no—
1051C24—24no—
1052C24—24no—
1053C24—24no—
1054C24—24no—
1055C24—24no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—28no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—42no—
1081C24—42no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—42no—
1086C24—42no—
1087C24—42no—
1088C24—42no—
1089C24—44no—
1090C24—44no—
1091C24—42no—
1092C24—44no—
1093C24—416no—
1094C24—416no—
1095C24—416no—
1096C24—88no—
1097C24—816no—
1098C24—816no—
1099C24—88no—
1100C24—816no—
1101C24—816no—
1102C24—88no—
1103C24H(5,𝔽2)14yes—
1104C24H(5,𝔽2)14yes—
1105C24H(5,𝔽2)14yes—
1106C24C2512yes—
1107C24C2512yes—
1108C24C2512yes—
1109C24C2512yes—
1110C24C2512yes—
1111C24C2512yes—
1112C24C2511yescharacteristic
1113C24C2511yescharacteristic
1114C24C2511yescharacteristic
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—24no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—42no—
1158C2×D4—44no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—42no—
1162C2×D4—44no—
1163C2×D4—42no—
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—464no—
1175C2×D4—464no—
1176C2×D4—416no—
1177C2×D4—416no—
1178C2×D4—416no—
1179C2×D4—416no—
1180C2×D4—416no—
1181C2×D4—416no—
1182C2×D4—816no—
1183C2×D4—816no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—22no—
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—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
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—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—416no—
1254C22×C4—416no—
1255C22×C4—88no—
1256C22×C4—88no—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2514yes—
1266C22×C4C2514yes—
1267C22×C4C2514yes—
1268C22×C4C2514yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C22⋊C4—24no—
1307C22⋊C4—24no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—24no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
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—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
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—42no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—28no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
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—24no—
1421C23—24no—
1422C23—22no—
1423C23—22no—
1424C23—24no—
1425C23—24no—
1426C23—22no—
1427C23—24no—
1428C23—24no—
1429C23—24no—
1430C23—22no—
1431C23—24no—
1432C23—44no—
1433C23—44no—
1434C23—48no—
1435C23—48no—
1436C23—48no—
1437C23—48no—
1438C23—48no—
1439C23—48no—
1440C23—48no—
1441C23—48no—
1442C23—48no—
1443C23—48no—
1444C23—44no—
1445C23—48no—
1446C23—44no—
1447C23—44no—
1448C23—48no—
1449C23—48no—
1450C23—44no—
1451C23—416no—
1452C23—48no—
1453C23—48no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—82no—
1460C23—82no—
1461C23—84no—
1462C23—82no—
1463C23—82no—
1464C23—84no—
1465C23—84no—
1466C23—82no—
1467C23—82no—
1468C23—84no—
1469C23—84no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—84no—
1480C23—82no—
1481C23—82no—
1482C23—84no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—864no—
1487C23—864no—
1488C23#560116yes—
1489C23C2×H(5,𝔽2)12yes—
1490C23C2×H(5,𝔽2)12yes—
1491C23C2×H(5,𝔽2)12yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23C2×H(5,𝔽2)12yes—
1494C23C2×H(5,𝔽2)12yes—
1495C23C2×H(5,𝔽2)12yes—
1496C23C2×H(5,𝔽2)12yes—
1497C23C2×H(5,𝔽2)12yes—
1498C23#58514yes—
1499C23C2611yescharacteristic
1500D4—416no—
1501D4—416no—
1502D4—48no—
1503D4—48no—
1504D4—48no—
1505D4—48no—
1506D4—48no—
1507D4—48no—
1508D4—48no—
1509D4—48no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—162no—
1515D4—162no—
1516D4—162no—
1517D4—162no—
1518D4—164no—
1519D4—164no—
1520D4—164no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
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—24no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—48no—
1574C2×C4—416no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—82no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—82no—
1593C2×C4—84no—
1594C2×C4—88no—
1595C2×C4—164no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—416no—
1612C22—416no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—44no—
1628C22—44no—
1629C22—44no—
1630C22—42no—
1631C22—42no—
1632C22—44no—
1633C22—44no—
1634C22—44no—
1635C22—44no—
1636C22—44no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—816no—
1645C22—816no—
1646C22—88no—
1647C22—88no—
1648C22—88no—
1649C22—88no—
1650C22—832no—
1651C22—164no—
1652C22C2×#56014yes—
1653C22C2×#56014yes—
1654C22C2×#56014yes—
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×H(5,𝔽2)11yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C2×#58512yes—
1659C22H(7,𝔽2)12yes—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—44no—
1667C4—44no—
1668C4—44no—
1669C4—44no—
1670C4—44no—
1671C4—44no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C2—24no—
1679C2—24no—
1680C2—24no—
1681C2—44no—
1682C2—82no—
1683C2—82no—
1684C2—82no—
1685C2—82no—
1686C2—82no—
1687C2C22×#56011yescharacteristic
1688C2#6282011yescharacteristic
1689C2#6286211yescharacteristic
1690C2#6290012yes—
1691C2#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. #52347C2semidirect
2. #52347C2semidirect
3. #52345C2semidirect
4. #52340C2semidirect
5. #52339C2semidirect
6. #52320C2semidirect
7. #45732C2semidirect
8. #45588C2semidirect
9. #45588C2semidirect
10. #45563C2semidirect
11. #45538C2semidirect
12. #45457C2semidirect
13. #35463C2semidirect
14. #35447C2semidirect
15. #35370C2semidirect
16. #35369C2semidirect
17. #35360C2semidirect
18. #35348C2semidirect
19. #35097C2semidirect
20. #35089C2semidirect
21. #34984C2semidirect
22. #34983C2semidirect
23. #34980C2semidirect
24. #34980C2semidirect
25. C2×#2534C2semidirect
26. C2×#2411C2semidirect
27. C2×#2405C2semidirect
33. C2×#534C22semidirect
36. C22×#123C22semidirect
37. C22×#123C22semidirect
40. C2×#518C22semidirect
41. C22×C4×D4C22semidirect
42. C22×#117C22semidirect
44. #2854C22semidirect
45. #2854C22semidirect
46. #2853C22semidirect
47. #2853C22semidirect
48. #2849C22semidirect
49. #2849C22semidirect
50. #2849C22semidirect
51. #2847C22semidirect
52. #2846C22semidirect
53. #2846C22semidirect
54. #2842C22semidirect
55. #2837C22semidirect
56. #2837C22semidirect
57. #2837C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2829C22semidirect
63. #2829C22semidirect
64. #2828C22semidirect
65. #2828C22semidirect
66. #2827C22semidirect
67. #2827C22semidirect
68. #2826C22semidirect
69. #2826C22semidirect
70. #2825C22semidirect
71. #2823C22semidirect
72. #2813C22semidirect
73. #2812C22semidirect
74. #2803C22semidirect
75. #2803C22semidirect
76. #2801C22semidirect
77. #2797C22semidirect
78. #2796C22semidirect
79. #2796C22semidirect
80. #2795C22semidirect
81. #2795C22semidirect
82. #2795C22semidirect
83. #2790C22semidirect
84. #2790C22semidirect
85. #2790C22semidirect
86. #2780C22semidirect
87. #2780C22semidirect
88. #2756C22semidirect
89. #2756C22semidirect
90. #2752C22semidirect
91. #2752C22semidirect
92. #2749C22semidirect
93. #2746C22semidirect
94. #2746C22semidirect
95. #2735C22semidirect
96. #2735C22semidirect
97. #2735C22semidirect
98. #2714C22semidirect
99. #2714C22semidirect
100. #2705C22semidirect
101. #2705C22semidirect
102. #2703C22semidirect
103. #2699C22semidirect
104. #2697C22semidirect
105. #2697C22semidirect
106. #2691C22semidirect
107. #2685C22semidirect
108. #2685C22semidirect
109. #2685C22semidirect
110. #2685C22semidirect
111. #2678C22semidirect
112. #2678C22semidirect
113. #2668C22semidirect
114. #2623C22semidirect
115. #2623C22semidirect
116. #2622C22semidirect
117. #2618C22semidirect
118. #2618C22semidirect
119. #2617C22semidirect
120. #2613C22semidirect
121. #2613C22semidirect
122. #2613C22semidirect
123. #2613C22semidirect
124. #2539C22semidirect
125. #2539C22semidirect
126. #2539C22semidirect
127. #2539C22semidirect
128. #2534C22semidirect
129. #2534C22semidirect
130. #2534C22semidirect
131. #2534C22semidirect
132. #2534C22semidirect
133. #2534C22semidirect
134. #2510C22semidirect
135. #2510C22semidirect
136. #2501C22semidirect
137. #2501C22semidirect
138. #2501C22semidirect
139. #2501C22semidirect
140. #2498C22semidirect
141. #2498C22semidirect
142. #2498C22semidirect
143. #2493C22semidirect
144. #2486C22semidirect
145. #2484C22semidirect
146. #2482C22semidirect
147. #2481C22semidirect
148. #2481C22semidirect
149. #2480C22semidirect
150. #2480C22semidirect
151. #2480C22semidirect
152. #2480C22semidirect
153. #2480C22semidirect
154. #2480C22semidirect
155. #2480C22semidirect
156. #2444C22semidirect
157. #2444C22semidirect
158. #2443C22semidirect
159. #2443C22semidirect
160. #2425C22semidirect
161. #2425C22semidirect
162. #2425C22semidirect
163. #2425C22semidirect
165. #2424C22semidirect
166. #2424C22semidirect
167. #2424C22semidirect
168. #2419C22semidirect
169. #2419C22semidirect
170. #2418C22semidirect
171. #2418C22semidirect
172. #2413C22semidirect
173. #2413C22semidirect
174. #2413C22semidirect
175. #2413C22semidirect
176. #2412C22semidirect
177. #2412C22semidirect
178. #2412C22semidirect
179. #2411C22semidirect
180. #2411C22semidirect
181. #2411C22semidirect
182. #2411C22semidirect
183. #2411C22semidirect
184. #2411C22semidirect
185. #2411C22semidirect
190. #2410C22semidirect
191. #2408C22semidirect
192. #2405C22semidirect
193. #2405C22semidirect
194. #2405C22semidirect
195. #2405C22semidirect
196. #2405C22semidirect
197. #2405C22semidirect
198. #2403C22semidirect
199. #2403C22semidirect
200. C2×#396C22semidirect
201. C2×#396C22semidirect
202. C2×#394C22semidirect
203. C2×#394C22semidirect
204. C2×#394C22semidirect
205. C2×#394C22semidirect
206. #2383C22semidirect
207. #2377C22semidirect
208. #2375C22semidirect
209. #2375C22semidirect
210. #2315C22semidirect
211. #2315C22semidirect
212. #2315C22semidirect
213. #2315C22semidirect
218. #2308C22semidirect
219. C2×#390C22semidirect
220. C2×#388C22semidirect
221. C2×#388C22semidirect
224. C2×#386C22semidirect
225. C2×#386C22semidirect
226. C2×#385C22semidirect
227. C2×#385C22semidirect
228. C2×#381C22semidirect
229. C2×#380C22semidirect
233. C2×#379C22semidirect
234. #2273C22semidirect
253. C24×C4C23semidirect
260. C2×#126C23semidirect
261. C2×#126C23semidirect
282. C2×#123C23semidirect
283. C2×#123C23semidirect
284. C2×#123C23semidirect
285. C2×#123C23semidirect
286. C2×#123C23semidirect
287. C2×#123C23semidirect
288. C2×#123C23semidirect
297. C2×#121C23semidirect
298. C2×#121C23semidirect
319. C2×#120C23semidirect
320. C2×#120C23semidirect
325. C2×C4×D4C23semidirect
326. C2×C4×D4C23semidirect
329. C2×#117C23semidirect
330. C2×#117C23semidirect
333. C22×C4⋊C4C23semidirect
334. C22×C4⋊C4C23semidirect
335. C22×C4⋊C4C23semidirect
336. C22×C4⋊C4C23semidirect
337. C22×C4⋊C4C23semidirect
338. C22×C4⋊C4C23semidirect
339. C22×C4⋊C4C23semidirect
367. C22×C22⋊C4C23semidirect
368. C22×C22⋊C4C23semidirect
369. C22×C22⋊C4C23semidirect
370. C22×C22⋊C4C23semidirect
371. C22×C22⋊C4C23semidirect
372. C22×C22⋊C4C23semidirect
373. C22×C42C23semidirect
374. C22×C42C23semidirect
375. #401C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
379. #400C23semidirect
380. #400C23semidirect
381. #400C23semidirect
382. #400C23semidirect
383. #399C23semidirect
384. #399C23semidirect
385. #399C23semidirect
386. #399C23semidirect
387. #399C23semidirect
388. #399C23semidirect
389. #399C23semidirect
390. #399C23semidirect
391. #399C23semidirect
392. #399C23semidirect
393. #398C23semidirect
394. #398C23semidirect
395. #398C23semidirect
396. #398C23semidirect
397. #398C23semidirect
398. #398C23semidirect
399. #398C23semidirect
400. #398C23semidirect
401. #398C23semidirect
405. #397C23semidirect
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
419. #397C23semidirect
420. #397C23semidirect
421. #397C23semidirect
428. #396C23semidirect
429. #396C23semidirect
430. #396C23semidirect
431. #396C23semidirect
432. #396C23semidirect
433. #396C23semidirect
434. #396C23semidirect
435. #396C23semidirect
436. #396C23semidirect
437. #396C23semidirect
438. #396C23semidirect
439. #396C23semidirect
440. #396C23semidirect
441. #396C23semidirect
442. #396C23semidirect
465. #394C23semidirect
466. #394C23semidirect
467. #394C23semidirect
468. #394C23semidirect
469. #394C23semidirect
470. #394C23semidirect
471. #394C23semidirect
472. #394C23semidirect
473. #394C23semidirect
474. #394C23semidirect
475. #394C23semidirect
476. #394C23semidirect
477. #394C23semidirect
478. #394C23semidirect
479. #394C23semidirect
480. #394C23semidirect
481. #394C23semidirect
491. #392C23semidirect
492. #392C23semidirect
493. #392C23semidirect
494. #392C23semidirect
498. #390C23semidirect
499. #390C23semidirect
500. #390C23semidirect
501. #390C23semidirect
502. #390C23semidirect
503. #390C23semidirect
504. #390C23semidirect
505. #390C23semidirect
506. #390C23semidirect
507. #390C23semidirect
508. #390C23semidirect
509. #390C23semidirect
510. #389C23semidirect
511. #389C23semidirect
512. #389C23semidirect
513. #389C23semidirect
514. #389C23semidirect
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. #388C23semidirect
536. #388C23semidirect
537. #388C23semidirect
538. #388C23semidirect
539. #388C23semidirect
540. #388C23semidirect
541. #388C23semidirect
542. #388C23semidirect
543. #388C23semidirect
544. #388C23semidirect
545. #388C23semidirect
546. #388C23semidirect
547. #388C23semidirect
548. #388C23semidirect
549. #388C23semidirect
550. #387C23semidirect
551. #387C23semidirect
552. #387C23semidirect
553. #387C23semidirect
554. #387C23semidirect
555. #387C23semidirect
556. #387C23semidirect
557. #387C23semidirect
558. #387C23semidirect
559. #387C23semidirect
560. #387C23semidirect
586. #386C23semidirect
587. #386C23semidirect
588. #386C23semidirect
589. #386C23semidirect
590. #386C23semidirect
591. #386C23semidirect
592. #386C23semidirect
593. #386C23semidirect
594. #386C23semidirect
595. #386C23semidirect
596. #386C23semidirect
597. #386C23semidirect
610. #385C23semidirect
611. #385C23semidirect
612. #385C23semidirect
613. #385C23semidirect
614. #385C23semidirect
615. #385C23semidirect
616. #385C23semidirect
617. #385C23semidirect
618. #385C23semidirect
619. #385C23semidirect
620. #385C23semidirect
621. #384C23semidirect
622. #384C23semidirect
623. #383C23semidirect
629. #381C23semidirect
630. #381C23semidirect
631. #381C23semidirect
632. #381C23semidirect
633. #381C23semidirect
636. #380C23semidirect
637. #380C23semidirect
638. #380C23semidirect
639. #380C23semidirect
640. #380C23semidirect
641. #380C23semidirect
642. #380C23semidirect
643. #380C23semidirect
664. #379C23semidirect
666. C4×C22⋊C4C23semidirect
667. C4×C22⋊C4C23semidirect
668. C4×C22⋊C4C23semidirect
671. C2×#95C23semidirect
672. C2×#95C23semidirect
673. C2×#95C23semidirect
674. C2×#95C23semidirect
675. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
#523472
#523452
#523402
#523392
#523202
#457322
#455882
#455632
#455382
#454572
#354632
#354472
#353702
#353692
#353602
#353482
#350972
#350892
#349842
#349832
#349802
C2×#25342
C2×#24112
C2×#24052