Finite Group Databasebeta

← #7514234

Subgroups — #7514234

Order 512.

3354 conjugacy classes of subgroups.

The subgroup lattice has 1861 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3280C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3C2×#3013C211yesmaximal, characteristic, complemented
4C2×#3010C211yesmaximal, characteristic, complemented
5#44868C211yesmaximal, characteristic, complemented
6#36078C211yesmaximal, characteristic, complemented
7#31058C211yesmaximal, characteristic, complemented
8#30508C211yesmaximal, characteristic, complemented
9#30461C211yesmaximal, characteristic, complemented
10#30445C211yesmaximal, characteristic, complemented
11#25797C211yesmaximal, characteristic, complemented
12#25776C211yesmaximal, characteristic, complemented
13#25762C211yesmaximal, characteristic, complemented
14#25170C211yesmaximal, characteristic, complemented
15#25162C211yesmaximal, characteristic, complemented
16#25118C211yesmaximal, characteristic, complemented
17#25114C211yesmaximal, characteristic, complemented
18#25103C211yesmaximal, characteristic, complemented
19#25090C211yesmaximal, characteristic, complemented
20#24444C211yesmaximal, characteristic, complemented
21#24436C211yesmaximal, characteristic, complemented
22#24397C211yesmaximal, characteristic, complemented
23#24390C211yesmaximal, characteristic, complemented
24#24373C211yesmaximal, characteristic, complemented
25#24364C211yesmaximal, characteristic, complemented
26#23862C211yesmaximal, characteristic, complemented
27#23851C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#22872C211yesmaximal, characteristic, complemented
30#22866C211yesmaximal, characteristic, complemented
31#22847C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C23×SD16C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×D42C2211yescharacteristic
43C2×#537C2211yescharacteristic, complemented
44C2×#535C2211yescharacteristic, complemented
45#3280—28no—
46#3264—28no—
47C2×#496C2211yescharacteristic
48C2×#495C2211yescharacteristic
49C2×#495C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic
51C2×#469C2211yescharacteristic, complemented
52C2×#467C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic
57C2×#463C2211yescharacteristic
58C2×#463C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic
61#3013—28no—
62#3010—28no—
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#451C2211yescharacteristic, complemented
73C2×#451C2211yescharacteristic, complemented
74C2×#448C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic, complemented
76C2×#448C2211yescharacteristic, complemented
77C2×#448C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic, complemented
79C2×#448C2211yescharacteristic, complemented
80C2×#450C2211yescharacteristic
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#442C2211yescharacteristic
87C2×C4×D8C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic
89C2×C8×D4C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#419C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C22×#103C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2678—21no—
97#2672—21no—
98#2669—21no—
99#2668—21no—
100#2615C2211yescharacteristic, complemented
101#2614—21no—
102#2540C2211yescharacteristic
103#2472—21no—
104#2436C2211yescharacteristic, complemented
105#2436C2211yescharacteristic, complemented
106#2436C2211yescharacteristic, complemented
107#2435C2211yescharacteristic, complemented
108#2431C2211yescharacteristic, complemented
109#2430—21no—
110#2430—21no—
111#2430—21no—
112#2428—21no—
113#2428C2211yescharacteristic, complemented
114#2427C2211yescharacteristic, complemented
115#2416C2211yescharacteristic
116#2415C2211yescharacteristic
117#2410—21no—
118#2409C2211yescharacteristic
119#2409C2211yescharacteristic, complemented
120#2409C2211yescharacteristic, complemented
121#2408—21no—
122#2408C2211yescharacteristic
123#2404—21no—
124#2404—21no—
125#2404—21no—
126#2388C2211yescharacteristic
127C2×#393—21no—
128#2363C2211yescharacteristic, complemented
129#2361C2211yescharacteristic, complemented
130#2339C2211yescharacteristic, complemented
131#2339C2211yescharacteristic, complemented
132#2339C2211yescharacteristic, complemented
133#2068C2211yescharacteristic, complemented
134#2066C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2035C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2014C2211yescharacteristic, complemented
153#2014C2211yescharacteristic, complemented
154#2012C2211yescharacteristic
155#2012C2211yescharacteristic, complemented
156#2012C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2000C2211yescharacteristic
160#2000C2211yescharacteristic
161#2000C2211yescharacteristic, complemented
162#1999C2211yescharacteristic
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1971C2211yescharacteristic, complemented
167#1968C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1927C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1864C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1853C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C2×2−1+4—24no—
208C2×2−1+4—24no—
209C2×2−1+4—42no—
210C2×2−1+4—42no—
211C2×2−1+4—42no—
212C2×2−1+4—42no—
213C22×#41—21no—
214C22×#41—21no—
215C22×#41—21no—
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8—21no—
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×D4—21no—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C2×#137—24no—
230C2×#137—42no—
231C2×#137—42no—
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—24no—
234C2×AGL(1,ℤ/8)—42no—
235C2×#135—24no—
236C2×#135—24no—
237C2×#135—42no—
238C22×Q16C2311yescharacteristic
239C22×Q16C2311yescharacteristic
240C22×Q16C2311yescharacteristic
241C22×SD16—24no—
242C22×SD16—42no—
243C22×SD16—42no—
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×D8—24no—
256C22×D8—24no—
257C22×D8—42no—
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268C23×C8C2311yescharacteristic
269#546—24no—
270#546—24no—
271#546—24no—
272#546—42no—
273#546—42no—
274#546—42no—
275#546—42no—
276#546—42no—
277D42—24no—
278D42—42no—
279#537—24no—
280#537—42no—
281#535—24no—
282#535—42no—
283C2×#127—21no—
284C2×#127C2311yescharacteristic
285C2×#124—21no—
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290C2×#124C2311yescharacteristic
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#120—21no—
323C2×#120—21no—
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×C4×D4—21no—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C22⋊C4—21no—
343C22×C22⋊C4—21no—
344C22×C22⋊C4—21no—
345C22×C22⋊C4—21no—
346#496—24no—
347#495—24no—
348#495—42no—
349#469—24no—
350#469—42no—
351#467—24no—
352#466—24no—
353#465—24no—
354#465—42no—
355#463—24no—
356#463—24no—
357#463—24no—
358#463—42no—
359#459—24no—
360#452—24no—
361#452—24no—
362#451—24no—
363#451—24no—
364#450—24no—
365#450—24no—
366#450—24no—
367#450—42no—
368#449—24no—
369#449—24no—
370#449—24no—
371#449—24no—
372#449—24no—
373#449D418yescomplemented
374#449D418yescomplemented
375#448—24no—
376#448—24no—
377#448—24no—
378#448—24no—
379#448—24no—
380#448—24no—
381#447—24no—
382#447—24no—
383#442—24no—
384C4×D8—24no—
385#435—24no—
386C8×D4—24no—
387C2×#107C2311yescharacteristic
388C2×#106C2311yescharacteristic
389C2×#106C2311yescharacteristic
390C2×#106C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392C2×C4⋊C8C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394#419—24no—
395#417—24no—
396#416—24no—
397C2×#103—24no—
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430#408—24no—
431#408—24no—
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×#97C2311yescharacteristic
444C2×C4×C8C2311yescharacteristic
445C2×C4×C8C2311yescharacteristic
446#399—21no—
447#397—21no—
448#397—21no—
449#396—21no—
450#395—21no—
451#395—21no—
452#395—21no—
453#395D411yescharacteristic
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394D411yescharacteristic
462#394D411yescharacteristic
463#394D411yescharacteristic
464#393—21no—
465#393—21no—
466#393—21no—
467#393—21no—
468#393—21no—
469#393—21no—
470#393—21no—
471#393—21no—
472#393—21no—
473#393—21no—
474#393D411yescharacteristic
475#392—21no—
476#392—21no—
477#392—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392D411yescharacteristic
484#392D411yescharacteristic
485#392D411yescharacteristic
486#391C2311yescharacteristic
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#390—21no—
494#390—21no—
495#390—21no—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389—21no—
500#389C2311yescharacteristic
501#389C2311yescharacteristic
502#388—21no—
503#388—21no—
504#388—21no—
505#386—21no—
506#386—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#381—21no—
532#381—21no—
533#381—21no—
534#380—21no—
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379—21no—
541#379—21no—
542C4×C4⋊C4C2311yescharacteristic
543C4×C22⋊C4—21no—
544C4×C22⋊C4C2311yescharacteristic
545C4×C22⋊C4C2311yescharacteristic
546C4×C22⋊C4C2311yescharacteristic
547C2×#95—21no—
548C2×#95—21no—
549C2×#95—21no—
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25—21no—
5672−1+4—416no—
5682−1+4—416no—
5692−1+4—416no—
5702−1+4—416no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—22no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—44no—
598C2×#41—44no—
599C2×#41—44no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—44no—
603C2×#41—44no—
604C2×#41—44no—
605C2×#41—44no—
606C2×#41—44no—
607C2×#41—44no—
608C2×#41C2×D414yes—
609C2×#41C2×D414yescomplemented
610C22×Q8—21no—
611C22×Q8—21no—
612C22×Q8—21no—
613C22×Q8—22no—
614C22×Q8—22no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—22no—
621C22×Q8—22no—
622C22×Q8—22no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8—41no—
626C22×Q8—41no—
627C22×Q8—41no—
628C22×Q8—41no—
629C22×Q8—41no—
630C22×Q8—41no—
631C22×Q8—44no—
632C22×Q8—44no—
633C22×Q8—44no—
634C22×Q8C2×D411yescharacteristic
635C22×Q8C2411yescharacteristic
636C22×Q8C2411yescharacteristic
637C22×Q8C2411yescharacteristic
638C22×Q8C2411yescharacteristic
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—22no—
645C22×D4—22no—
646C22×D4—22no—
647C22×D4—22no—
648C22×D4—22no—
649C22×D4—22no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—22no—
660C22×D4—21no—
661C22×D4—21no—
662C22×D4—21no—
663C22×D4—21no—
664C22×D4—21no—
665C22×D4—22no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—41no—
670C22×D4—41no—
671C22×D4—41no—
672C22×D4—41no—
673C22×D4—41no—
674C22×D4—41no—
675C22×D4—41no—
676C22×D4—44no—
677C22×D4—82no—
678C22×D4—82no—
679C22×D4C2×D411yescharacteristic
680C22×D4C2×D411yescharacteristic
681C22×D4C2×D411yescharacteristic
682C22×D4C2×D411yescharacteristic
683C22×D4C2×D411yescharacteristic
684C22×D4C2×D411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C22×D4C2411yescharacteristic
688C22×D4C2411yescharacteristic
689C22×D4C2411yescharacteristic
690C23×C4—21no—
691C23×C4—21no—
692C23×C4—21no—
693C23×C4—21no—
694C23×C4—21no—
695C23×C4—21no—
696C23×C4—21no—
697C23×C4—21no—
698C23×C4—21no—
699C23×C4—21no—
700C23×C4—21no—
701C23×C4—21no—
702C23×C4—21no—
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707#137—416no—
708AGL(1,ℤ/8)—416no—
709#135—416no—
710C2×Q16—22no—
711C2×Q16—22no—
712C2×Q16—22no—
713C2×Q16—22no—
714C2×Q16—22no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×SD16—22no—
720C2×SD16—22no—
721C2×SD16—22no—
722C2×SD16—22no—
723C2×SD16—22no—
724C2×SD16—22no—
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—41no—
737C2×SD16—41no—
738C2×SD16—41no—
739C2×SD16—41no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—416no—
751C2×SD16C2×D414yes—
752C2×SD16C2×D414yes—
753C2×D8—22no—
754C2×D8—22no—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—22no—
764C2×D8—22no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—416no—
770C2×D8C2×D414yes—
771C2×D8C2×D414yes—
772C2×M16—22no—
773C2×M16—22no—
774C2×M16—22no—
775C2×M16—22no—
776C2×M16—41no—
777C2×M16—41no—
778C22×C8—22no—
779C22×C8—22no—
780C22×C8—22no—
781C22×C8—22no—
782C22×C8—22no—
783C22×C8—22no—
784C22×C8—41no—
785C22×C8—41no—
786C22×C8—41no—
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795#127—22no—
796#127—41no—
797#127—44no—
798#124—22no—
799#124—22no—
800#124—22no—
801#124—22no—
802#124—41no—
803#124—41no—
804#124—41no—
805#124—41no—
806#124—41no—
807#124—41no—
808#124—44no—
809#123—44no—
810#123—44no—
811#123—44no—
812#123—44no—
813C22⋊Q8—22no—
814C22⋊Q8—22no—
815C22⋊Q8—22no—
816C22⋊Q8—22no—
817C22⋊Q8—22no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—44no—
821C22⋊Q8—41no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826#121—22no—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—44no—
839#121—44no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—41no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—82no—
853#121—82no—
854#121C2×D414yes—
855#121C2×D414yes—
856#120—44no—
857#120—44no—
858#120—44no—
859#120—44no—
860#120—44no—
861#120—44no—
862#120—44no—
863#120—44no—
864#120—82no—
865C4×D4—22no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—22no—
871C4×D4—22no—
872C4×D4—22no—
873C4×D4—22no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4—41no—
879C4×D4—41no—
880C4×D4—41no—
881C4×D4—82no—
882#117—22no—
883#117—41no—
884C2×C4⋊C4—22no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—41no—
895C2×C4⋊C4C2×D411yescharacteristic
896C2×C4⋊C4C2×D411yescharacteristic
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—44no—
948C2×C22⋊C4—44no—
949C2×C22⋊C4—44no—
950C2×C22⋊C4—44no—
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C42—21no—
964C2×C42—21no—
965C2×C42C2411yescharacteristic
966C2×C42C2411yescharacteristic
967C2×C42C2411yescharacteristic
968#107—22no—
969#106—22no—
970#106—41no—
971#106—41no—
972C4⋊C8—22no—
973C4⋊C8—22no—
974C4⋊C8—41no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—41no—
987#103—41no—
988#103C2×D414yes—
989#103C2×D414yescomplemented
990#102—22no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—41no—
1000#102—41no—
1001#102—41no—
1002#102—41no—
1003#102—41no—
1004#102—41no—
1005#102C2×D414yes—
1006#102C2×D414yescomplemented
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—41no—
1016C22⋊C8C2×D414yes—
1017C22⋊C8C2×D414yescomplemented
1018#97—22no—
1019C4×C8—22no—
1020C4×C8—41no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95C2×D411yescharacteristic
1043#95C2×D411yescharacteristic
1044#95C2×D411yescharacteristic
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047#95C2×D411yescharacteristic
1048C24—21no—
1049C24—21no—
1050C24—21no—
1051C24—21no—
1052C24—21no—
1053C24—42no—
1054C24—42no—
1055C24—42no—
1056C24—42no—
1057C24—42no—
1058C24—42no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—81no—
1063C24—81no—
1064C24—81no—
1065C24—81no—
1066C24—81no—
1067C24—81no—
1068C24—81no—
1069C24—81no—
1070C24—81no—
1071C24—81no—
1072C24—81no—
1073C24—81no—
1074C24C22×D411yescharacteristic
1075C24C22×D411yescharacteristic
1076C24C22×D411yescharacteristic
1077C24C22×D411yescharacteristic
1078#41—28no—
1079#41—28no—
1080#41—44no—
1081#41—44no—
1082#41—44no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—44no—
1087#41—44no—
1088#41—44no—
1089#41—44no—
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—44no—
1094#41—44no—
1095#41—432no—
1096#41—432no—
1097#41—432no—
1098#41—44no—
1099#41—82no—
1100#41—82no—
1101C2×Q8—22no—
1102C2×Q8—22no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—28no—
1107C2×Q8—28no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—41no—
1127C2×Q8—42no—
1128C2×Q8—42no—
1129C2×Q8—42no—
1130C2×Q8—42no—
1131C2×Q8—42no—
1132C2×Q8—42no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—44no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—432no—
1144C2×Q8—44no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8C22×D412yes—
1148C2×Q8C22×D412yes—
1149C2×Q8H(5,𝔽2)12yes—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—24no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—21no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—82no—
1230C2×D4—82no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—82no—
1237C2×D4—82no—
1238C2×D4—82no—
1239C2×D4—82no—
1240C2×D4—82no—
1241C2×D4—82no—
1242C2×D4—81no—
1243C2×D4—81no—
1244C2×D4—81no—
1245C2×D4—81no—
1246C2×D4—81no—
1247C2×D4—81no—
1248C2×D4—81no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—816no—
1263C2×D4C22×D412yes—
1264C2×D4C22×D412yes—
1265C2×D4C22×D412yes—
1266C2×D4C22×D412yes—
1267C2×D4H(5,𝔽2)12yes—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—24no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—21no—
1285C22×C4—21no—
1286C22×C4—21no—
1287C22×C4—21no—
1288C22×C4—21no—
1289C22×C4—21no—
1290C22×C4—21no—
1291C22×C4—21no—
1292C22×C4—21no—
1293C22×C4—21no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—81no—
1327C22×C4—81no—
1328C22×C4—81no—
1329C22×C4—81no—
1330C22×C4—81no—
1331C22×C4—81no—
1332C22×C4—81no—
1333C22×C4—81no—
1334C22×C4—81no—
1335C22×C4—81no—
1336C22×C4—81no—
1337C22×C4—81no—
1338C22×C4C22×D411yescharacteristic
1339C22×C4C22×D411yescharacteristic
1340C22×C4C22×D411yescharacteristic
1341C22×C4C22×D411yescharacteristic
1342C22×C4C22×D411yescharacteristic
1343C22×C4C22×D411yescharacteristic
1344C22×C4C22×D411yescharacteristic
1345C22×C4C22×D411yescharacteristic
1346C22×C4C22×D411yescharacteristic
1347C22×C4C22×D411yescharacteristic
1348C22×C4C22×D412yes—
1349C22×C4C22×D412yes—
1350C22×C4H(5,𝔽2)12yes—
1351C22×C4H(5,𝔽2)12yes—
1352C22×C4C2511yescharacteristic
1353Q16—44no—
1354Q16—44no—
1355Q16—44no—
1356SD16—44no—
1357SD16—44no—
1358SD16—44no—
1359SD16—44no—
1360SD16—44no—
1361SD16—44no—
1362SD16—44no—
1363SD16—44no—
1364SD16—44no—
1365SD16—44no—
1366SD16—82no—
1367D8—28no—
1368D8—28no—
1369D8—44no—
1370D8—44no—
1371D8—44no—
1372D8—82no—
1373M16—44no—
1374M16—44no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8—21no—
1379C2×C8—21no—
1380C2×C8—21no—
1381C2×C8—21no—
1382C2×C8—21no—
1383C2×C8—21no—
1384C2×C8—21no—
1385C2×C8—21no—
1386C2×C8—21no—
1387C2×C8—21no—
1388C2×C8—21no—
1389C2×C8—21no—
1390C2×C8—21no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—44no—
1396C2×C8—44no—
1397C2×C8—44no—
1398C2×C8C22×D412yes—
1399C2×C8C22×D412yes—
1400C2×C8C22×D412yes—
1401C2×C8C22×D412yes—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—41no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—81no—
1426C4⋊C4C22×D412yes—
1427C4⋊C4C22×D412yes—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—41no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—41no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—81no—
1472C22⋊C4—81no—
1473C22⋊C4—81no—
1474C22⋊C4—81no—
1475C22⋊C4—81no—
1476C22⋊C4—81no—
1477C22⋊C4—81no—
1478C22⋊C4—81no—
1479C22⋊C4—81no—
1480C22⋊C4—81no—
1481C22⋊C4—81no—
1482C42—21no—
1483C42—21no—
1484C42—21no—
1485C42—21no—
1486C42—21no—
1487C42—21no—
1488C42—42no—
1489C42—81no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—84no—
1551C23—84no—
1552C23—84no—
1553C23—84no—
1554C23—84no—
1555C23—84no—
1556C23—84no—
1557C23—84no—
1558C23—84no—
1559C23—162no—
1560C23—162no—
1561C23—162no—
1562C23—162no—
1563C23—162no—
1564C23—162no—
1565C23—162no—
1566C23—162no—
1567C23—162no—
1568C23—162no—
1569C23—162no—
1570C23—162no—
1571C23D4212yes—
1572C23D4212yes—
1573C23#57712yes—
1574C23C23×D411yescharacteristic
1575Q8—22no—
1576Q8—22no—
1577Q8—22no—
1578Q8—22no—
1579Q8—22no—
1580Q8—22no—
1581Q8—44no—
1582Q8—48no—
1583Q8—48no—
1584Q8—48no—
1585Q8—41no—
1586Q8—41no—
1587Q8—41no—
1588Q8—41no—
1589Q8—41no—
1590Q8—41no—
1591Q8—41no—
1592Q8—41no—
1593Q8—41no—
1594Q8—41no—
1595D4—22no—
1596D4—22no—
1597D4—22no—
1598D4—22no—
1599D4—22no—
1600D4—22no—
1601D4—22no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—44no—
1606D4—44no—
1607D4—48no—
1608D4—48no—
1609D4—48no—
1610D4—41no—
1611D4—41no—
1612D4—41no—
1613D4—41no—
1614D4—41no—
1615D4—41no—
1616D4—41no—
1617D4—41no—
1618D4—41no—
1619D4—41no—
1620D4—41no—
1621D4—41no—
1622D4—84no—
1623D4—82no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—162no—
1632D4—162no—
1633D4—162no—
1634D4—162no—
1635D4—162no—
1636D4—162no—
1637D4—162no—
1638D4—162no—
1639D4D4214yes—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—48no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—48no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—41no—
1699C2×C4—41no—
1700C2×C4—41no—
1701C2×C4—41no—
1702C2×C4—41no—
1703C2×C4—41no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—41no—
1711C2×C4—41no—
1712C2×C4—41no—
1713C2×C4—41no—
1714C2×C4—41no—
1715C2×C4—41no—
1716C2×C4—41no—
1717C2×C4—41no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4—162no—
1726C2×C4—162no—
1727C2×C4—162no—
1728C2×C4—162no—
1729C2×C4—162no—
1730C2×C4D4212yes—
1731C2×C4D4212yes—
1732C2×C4C23×D411yescharacteristic
1733C2×C4C23×D411yescharacteristic
1734C2×C4C2×H(5,𝔽2)11yescharacteristic
1735C2×C4C2×H(5,𝔽2)11yescharacteristic
1736C2×C4C2×H(5,𝔽2)11yescharacteristic
1737C2×C4C2×H(5,𝔽2)11yescharacteristic
1738C8—22no—
1739C8—22no—
1740C8—22no—
1741C8—22no—
1742C8—41no—
1743C8—41no—
1744C8—41no—
1745C8—41no—
1746C22—22no—
1747C22—22no—
1748C22—24no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—42no—
1762C22—41no—
1763C22—41no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—42no—
1770C22—42no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—41no—
1781C22—42no—
1782C22—41no—
1783C22—42no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—81no—
1788C22—81no—
1789C22—81no—
1790C22—81no—
1791C22—81no—
1792C22—81no—
1793C22—81no—
1794C22—81no—
1795C22—81no—
1796C22—81no—
1797C22—81no—
1798C22—81no—
1799C22—81no—
1800C22—81no—
1801C22—81no—
1802C22—81no—
1803C22—81no—
1804C22—81no—
1805C22—81no—
1806C22—81no—
1807C22—81no—
1808C22—81no—
1809C22—168no—
1810C22—168no—
1811C22—168no—
1812C22C2×D4211yescharacteristic
1813C22C2×D4211yescharacteristic
1814C22#348411yescharacteristic
1815C22C2×#57711yescharacteristic
1816C22#358411yescharacteristic
1817C22#358411yescharacteristic
1818C22#358511yescharacteristic
1819C4—22no—
1820C4—22no—
1821C4—41no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4—41no—
1833C4—41no—
1834C4—81no—
1835C4—81no—
1836C4—81no—
1837C4—81no—
1838C4—81no—
1839C4—81no—
1840C4C2×D4211yescharacteristic
1841C4#348411yescharacteristic
1842C4#348411yescharacteristic
1843C4#353211yescharacteristic
1844C2—42no—
1845C2—42no—
1846C2—42no—
1847C2—44no—
1848C2—81no—
1849C2—82no—
1850C2—82no—
1851C2—161no—
1852C2—161no—
1853C2#5899011yescharacteristic
1854C2#6105511yescharacteristic
1855C2#6107111yescharacteristic
1856C2#6109011yescharacteristic
1857C2#6109211yescharacteristic
1858C2#6164111yescharacteristic
1859C2#6169011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3280C2semidirect
2. C2×#3264C2semidirect
3. C2×#3013C2semidirect
4. C2×#3010C2semidirect
5. #44868C2semidirect
6. #36078C2semidirect
7. #31058C2semidirect
8. #30508C2semidirect
9. #30461C2semidirect
10. #30445C2semidirect
11. #25797C2semidirect
12. #25776C2semidirect
13. #25762C2semidirect
14. #25170C2semidirect
15. #25162C2semidirect
16. #25118C2semidirect
17. #25114C2semidirect
18. #25103C2semidirect
19. #25090C2semidirect
20. #24444C2semidirect
21. #24436C2semidirect
22. #24397C2semidirect
23. #24390C2semidirect
24. #24373C2semidirect
25. #24364C2semidirect
26. #23862C2semidirect
27. #23851C2semidirect
28. #23849C2semidirect
29. #22872C2semidirect
30. #22866C2semidirect
31. #22847C2semidirect
32. C22×2−1+4C22semidirect
33. C22×#137C22semidirect
35. C22×#135C22semidirect
36. C23×SD16C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
43. C2×#537C22semidirect
44. C2×#535C22semidirect
49. C2×#495C22semidirect
51. C2×#469C22semidirect
52. C2×#467C22semidirect
55. C2×#465C22semidirect
58. C2×#463C22semidirect
59. C2×#463C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#451C22semidirect
73. C2×#451C22semidirect
74. C2×#448C22semidirect
75. C2×#448C22semidirect
76. C2×#448C22semidirect
77. C2×#448C22semidirect
78. C2×#448C22semidirect
79. C2×#448C22semidirect
83. C2×#450C22semidirect
87. C2×C4×D8C22semidirect
89. C2×C8×D4C22semidirect
90. C2×#417C22semidirect
91. C2×#419C22semidirect
92. C2×#416C22semidirect
93. C22×#103C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
100. #2615C22semidirect
104. #2436C22semidirect
105. #2436C22semidirect
106. #2436C22semidirect
107. #2435C22semidirect
108. #2431C22semidirect
113. #2428C22semidirect
114. #2427C22semidirect
119. #2409C22semidirect
120. #2409C22semidirect
128. #2363C22semidirect
129. #2361C22semidirect
130. #2339C22semidirect
131. #2339C22semidirect
132. #2339C22semidirect
133. #2068C22semidirect
134. #2066C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2042C22semidirect
140. #2042C22semidirect
141. #2035C22semidirect
142. #2035C22semidirect
143. #2035C22semidirect
144. #2034C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
152. #2014C22semidirect
153. #2014C22semidirect
155. #2012C22semidirect
156. #2012C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
161. #2000C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1971C22semidirect
167. #1968C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1935C22semidirect
172. #1933C22semidirect
173. #1928C22semidirect
174. #1927C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1877C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1875C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1864C22semidirect
197. #1854C22semidirect
198. #1853C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1788C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
373. #449D4semidirect
374. #449D4semidirect
609. C2×#41C2×D4semidirect
989. #103C2×D4semidirect
1006. #102C2×D4semidirect
1017. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32802
C2×#32642
C2×#30132
C2×#30102
#448682
#360782
#310582
#305082
#304612
#304452
#257972
#257762
#257622
#251702
#251622
#251182
#251142
#251032
#250902
#244442
#244362
#243972
#243902
#243732
#243642
#238622
#238512
#238492
#228722
#228662
#228472