Finite Group Databasebeta

← #7514244

Subgroups — #7514244

Order 512.

3464 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3282C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3C2×#3012C211yesmaximal, characteristic, complemented
4C2×#3012C211yesmaximal, characteristic, complemented
5#45244C211yesmaximal, characteristic, complemented
6#35680C211yesmaximal, characteristic, complemented
7#31061C211yesmaximal, characteristic, complemented
8#30505C211yesmaximal, characteristic, complemented
9#30475C211yesmaximal, characteristic, complemented
10#30458C211yesmaximal, characteristic, complemented
11#25794C211yesmaximal, characteristic, complemented
12#25777C211yesmaximal, characteristic, complemented
13#25757C211yesmaximal, characteristic, complemented
14#25164C211yesmaximal, characteristic, complemented
15#25152C211yesmaximal, characteristic, complemented
16#25123C211yesmaximal, characteristic, complemented
17#25108C211yesmaximal, characteristic, complemented
18#25102C211yesmaximal, characteristic, complemented
19#25080C211yesmaximal, characteristic, complemented
20#24444C211yesmaximal, characteristic, complemented
21#24424C211yesmaximal, characteristic, complemented
22#24397C211yesmaximal, characteristic, complemented
23#24391C211yesmaximal, characteristic, complemented
24#24366C211yesmaximal, characteristic, complemented
25#24364C211yesmaximal, characteristic, complemented
26#23866C211yesmaximal, characteristic, complemented
27#23854C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#22874C211yesmaximal, characteristic, complemented
30#22862C211yesmaximal, characteristic, complemented
31#22847C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic
36C22×#135C2211yescharacteristic, complemented
37C23×SD16C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic, complemented
39C2×#548C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic
41C2×D42C2211yescharacteristic
42C2×D42C2211yescharacteristic
43C2×#537C2211yescharacteristic, complemented
44C2×#537C2211yescharacteristic, complemented
45#3282—28no—
46#3265—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#493C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3012—28no—
62#3012—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#451C2211yescharacteristic, complemented
74C2×#448C2211yescharacteristic, complemented
75C2×#448C2211yescharacteristic, complemented
76C2×#450C2211yescharacteristic
77C2×#450C2211yescharacteristic
78C2×#450C2211yescharacteristic
79C2×#450C2211yescharacteristic, complemented
80C2×#447C2211yescharacteristic
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#440C2211yescharacteristic, complemented
87C2×C4×SD16C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×C8×D4C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic, complemented
92C22×#102C2211yescharacteristic
93C22×#102C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2683—21no—
97#2676—21no—
98#2676—21no—
99#2675—21no—
100#2615C2211yescharacteristic
101#2613—21no—
102#2555—21no—
103#2541C2211yescharacteristic, complemented
104#2463—21no—
105#2433C2211yescharacteristic
106#2431C2211yescharacteristic
107#2431C2211yescharacteristic
108#2431C2211yescharacteristic, complemented
109#2431C2211yescharacteristic, complemented
110#2430—21no—
111#2428—21no—
112#2428—21no—
113#2426C2211yescharacteristic, complemented
114#2426C2211yescharacteristic, complemented
115#2416C2211yescharacteristic, complemented
116#2416C2211yescharacteristic, complemented
117#2410—21no—
118#2410—21no—
119#2409C2211yescharacteristic, complemented
120#2408C2211yescharacteristic
121#2407C2211yescharacteristic
122#2407C2211yescharacteristic
123#2404—21no—
124#2403—21no—
125#2403—21no—
126#2388C2211yescharacteristic
127C2×#392—21no—
128#2360C2211yescharacteristic, complemented
129#2360C2211yescharacteristic, complemented
130#2339C2211yescharacteristic
131D4×C22⋊C4C2211yescharacteristic
132D4×C22⋊C4C2211yescharacteristic
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#1999C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1972C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1969C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1926C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1874C2211yescharacteristic, complemented
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1853C2211yescharacteristic, complemented
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C2×H(5,𝔽2)—24no—
208C2×H(5,𝔽2)—24no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C2×H(5,𝔽2)—42no—
212C2×H(5,𝔽2)—42no—
213C22×#41—21no—
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4—21no—
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4—21no—
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C2×AGL(1,ℤ/8)—24no—
231C2×AGL(1,ℤ/8)—24no—
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—42no—
234C2×AGL(1,ℤ/8)—42no—
235C2×AGL(1,ℤ/8)—42no—
236C2×#135—24no—
237C2×#135—24no—
238C2×#135—24no—
239C2×#135—42no—
240C2×#135—42no—
241C2×#135—42no—
242C22×Q16C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×SD16—24no—
245C22×SD16—24no—
246C22×SD16—42no—
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C23×C8C2311yescharacteristic
268C23×C8C2311yescharacteristic
269C23×C8C2311yescharacteristic
270#548—24no—
271#548—24no—
272#548—42no—
273#548—42no—
274#546—24no—
275#546—42no—
276D42—24no—
277D42—42no—
278D42—42no—
279D42—42no—
280#537—24no—
281#537—24no—
282#537—42no—
283#537—42no—
284C2×#127—21no—
285C2×#127C2311yescharacteristic
286C2×#127C2311yescharacteristic
287C2×#127C2311yescharacteristic
288C2×#124—21no—
289C2×#124—21no—
290C2×#124C2311yescharacteristic
291C2×#124C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#123—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×D4—21no—
338C2×C4×D4—21no—
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C22⋊C4—21no—
348C22×C22⋊C4—21no—
349C22×C22⋊C4—21no—
350#496—24no—
351#495—24no—
352#493—42no—
353#469—42no—
354#468—24no—
355#466—24no—
356#466—42no—
357#465—24no—
358#465—24no—
359#464—24no—
360#463—24no—
361#463—24no—
362#460—24no—
363#459—42no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452D418yescomplemented
368#451—24no—
369#450—24no—
370#450—24no—
371#450—24no—
372#450D418yescomplemented
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#448—24no—
380#448—42no—
381#447—24no—
382#447—24no—
383#447—24no—
384#447—24no—
385#447—24no—
386#447—24no—
387#440—24no—
388C4×SD16—24no—
389#435—24no—
390C8×D4—24no—
391C2×#107C2311yescharacteristic
392C2×#107C2311yescharacteristic
393C2×#106C2311yescharacteristic
394C2×#106C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398#417—24no—
399#417—24no—
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#102—24no—
411C2×#102—24no—
412C2×#102C2311yescharacteristic
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
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434#408—24no—
435#408—24no—
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×C22⋊C8C2311yescharacteristic
446C2×C22⋊C8C2311yescharacteristic
447C2×#97C2311yescharacteristic
448C2×C4×C8C2311yescharacteristic
449C2×C4×C8C2311yescharacteristic
450#396—21no—
451#396—21no—
452#396—21no—
453#396—21no—
454#395—21no—
455#395D411yescharacteristic
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394D411yescharacteristic
464#394D411yescharacteristic
465#394D411yescharacteristic
466#393—21no—
467#393—21no—
468#393D411yescharacteristic
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
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#392—21no—
484#392—21no—
485#392—21no—
486#392—21no—
487#392D411yescharacteristic
488#392D411yescharacteristic
489#392D411yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#390—21no—
495#390—21no—
496#390—21no—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#389—21no—
504#389—21no—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#388—21no—
508#388—21no—
509#387—21no—
510#387—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#386—21no—
528#386—21no—
529#386—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#381—21no—
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#379—21no—
541#379—21no—
542#379—21no—
543C4×C4⋊C4C2311yescharacteristic
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546C4×C22⋊C4C2311yescharacteristic
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
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—
567C25—21no—
568H(5,𝔽2)—416no—
569H(5,𝔽2)—416no—
570H(5,𝔽2)—416no—
571H(5,𝔽2)—416no—
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—22no—
589C2×#41—22no—
590C2×#41—22no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—41no—
603C2×#41—44no—
604C2×#41—41no—
605C2×#41—41no—
606C2×#41—41no—
607C2×#41—41no—
608C2×#41—44no—
609C2×#41—44no—
610C2×#41C2×D414yes—
611C22×Q8—21no—
612C22×Q8—22no—
613C22×Q8—22no—
614C22×Q8—41no—
615C22×Q8—41no—
616C22×Q8—41no—
617C22×Q8—41no—
618C22×Q8C2×D411yescharacteristic
619C22×Q8C2411yescharacteristic
620C22×Q8C2411yescharacteristic
621C22×Q8C2411yescharacteristic
622C22×D4—22no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—21no—
627C22×D4—22no—
628C22×D4—22no—
629C22×D4—22no—
630C22×D4—22no—
631C22×D4—22no—
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—22no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—22no—
661C22×D4—22no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—41no—
670C22×D4—41no—
671C22×D4—44no—
672C22×D4—44no—
673C22×D4—44no—
674C22×D4—44no—
675C22×D4—44no—
676C22×D4—44no—
677C22×D4—44no—
678C22×D4—44no—
679C22×D4—44no—
680C22×D4—44no—
681C22×D4—44no—
682C22×D4—82no—
683C22×D4—82no—
684C22×D4—82no—
685C22×D4—82no—
686C22×D4C2×D411yescharacteristic
687C22×D4C2×D411yescharacteristic
688C22×D4C2×D411yescharacteristic
689C22×D4C2×D411yescharacteristic
690C22×D4C2×D411yescharacteristic
691C22×D4C2×D411yescharacteristic
692C22×D4C2×D414yes—
693C22×D4C2411yescharacteristic
694C22×D4C2411yescharacteristic
695C22×D4C2411yescharacteristic
696C22×D4C2411yescharacteristic
697C22×D4C2411yescharacteristic
698C22×D4C2411yescharacteristic
699C23×C4—21no—
700C23×C4—21no—
701C23×C4—21no—
702C23×C4—21no—
703C23×C4—21no—
704C23×C4—21no—
705C23×C4—21no—
706C23×C4—21no—
707C23×C4—21no—
708C23×C4—21no—
709C23×C4—21no—
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714AGL(1,ℤ/8)—416no—
715AGL(1,ℤ/8)—416no—
716#135—416no—
717#135—416no—
718C2×Q16—22no—
719C2×Q16—22no—
720C2×Q16—41no—
721C2×Q16—41no—
722C2×Q16—41no—
723C2×Q16C2×D414yescomplemented
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—22no—
737C2×SD16—22no—
738C2×SD16—22no—
739C2×SD16—22no—
740C2×SD16—22no—
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—41no—
751C2×SD16—416no—
752C2×SD16C2×D414yes—
753C2×SD16C2×D414yes—
754C2×SD16C2×D414yescomplemented
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—22no—
766C2×D8—22no—
767C2×D8—22no—
768C2×D8—22no—
769C2×D8—22no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×D8—41no—
774C2×D8—41no—
775C2×D8—41no—
776C2×D8—41no—
777C2×D8—41no—
778C2×D8—41no—
779C2×M16—22no—
780C2×M16—22no—
781C2×M16—22no—
782C2×M16—22no—
783C2×M16—41no—
784C2×M16—41no—
785C22×C8—22no—
786C22×C8—22no—
787C22×C8—22no—
788C22×C8—22no—
789C22×C8—22no—
790C22×C8—22no—
791C22×C8—41no—
792C22×C8—41no—
793C22×C8—41no—
794C22×C8C2411yescharacteristic
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797C22×C8C2411yescharacteristic
798C22×C8C2411yescharacteristic
799C22×C8C2411yescharacteristic
800C22×C8C2411yescharacteristic
801C22×C8C2411yescharacteristic
802#127—22no—
803#127—22no—
804#127—41no—
805#127—41no—
806#127—41no—
807#127—41no—
808#127—82no—
809#124—22no—
810#124—22no—
811#124—22no—
812#124—41no—
813#124—41no—
814#124—41no—
815#124—44no—
816#124—44no—
817#123—44no—
818C22⋊Q8—22no—
819C22⋊Q8—22no—
820C22⋊Q8—22no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—44no—
829C22⋊Q8—44no—
830C22⋊Q8C2×D414yescomplemented
831C22⋊Q8C2×D414yescomplemented
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—22no—
845#121—22no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—41no—
857#121—41no—
858#121—41no—
859#121—41no—
860#121—41no—
861#121—44no—
862#121—44no—
863#121—44no—
864#121—44no—
865#121—82no—
866#121—82no—
867#120—44no—
868#120—44no—
869#120—44no—
870#120—44no—
871#120—44no—
872#120—82no—
873#120—82no—
874#120—82no—
875C4×Q8—22no—
876C4×Q8—22no—
877C4×Q8—41no—
878C4×Q8—41no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—41no—
890C4×D4—41no—
891C4×D4—44no—
892C4×D4—44no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—22no—
896C2×C4⋊C4—22no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—41no—
907C2×C4⋊C4—41no—
908C2×C4⋊C4C2×D411yescharacteristic
909C2×C4⋊C4C2×D411yescharacteristic
910C2×C4⋊C4C2×D411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
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—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—82no—
961C2×C22⋊C4—82no—
962C2×C22⋊C4C2×D411yescharacteristic
963C2×C22⋊C4C2×D411yescharacteristic
964C2×C22⋊C4C2×D411yescharacteristic
965C2×C22⋊C4C2×D411yescharacteristic
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C42—21no—
975C2×C42—21no—
976C2×C42—21no—
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979C2×C42C2411yescharacteristic
980#107—22no—
981#107—41no—
982#106—22no—
983#106—41no—
984C4⋊C8—22no—
985C4⋊C8—22no—
986C4⋊C8—41no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—22no—
994#103—41no—
995#103—41no—
996#103C2×D414yescomplemented
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—41no—
1011#102—41no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102—41no—
1016#102C2×D414yes—
1017#102C2×D414yes—
1018#102C2×D414yescomplemented
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—41no—
1028C22⋊C8C2×D414yescomplemented
1029C22⋊C8C2×D414yescomplemented
1030#97—22no—
1031C4×C8—22no—
1032C4×C8—41no—
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#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051#95C2×D411yescharacteristic
1052#95C2×D411yescharacteristic
1053#95C2×D411yescharacteristic
1054C24—21no—
1055C24—24no—
1056C24—21no—
1057C24—21no—
1058C24—24no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—81no—
1074C24—81no—
1075C24—81no—
1076C24—81no—
1077C24—81no—
1078C24—81no—
1079C24—81no—
1080C24—81no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24C22×D411yescharacteristic
1089C24C22×D411yescharacteristic
1090C24C22×D411yescharacteristic
1091C24C22×D411yescharacteristic
1092#41—28no—
1093#41—28no—
1094#41—44no—
1095#41—44no—
1096#41—44no—
1097#41—44no—
1098#41—44no—
1099#41—44no—
1100#41—44no—
1101#41—44no—
1102#41—44no—
1103#41—44no—
1104#41—44no—
1105#41—44no—
1106#41—44no—
1107#41—44no—
1108#41—44no—
1109#41—44no—
1110#41—44no—
1111#41—432no—
1112#41—44no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117C2×Q8—22no—
1118C2×Q8—22no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—41no—
1135C2×Q8—42no—
1136C2×Q8—42no—
1137C2×Q8—44no—
1138C2×Q8—81no—
1139C2×Q8—82no—
1140C2×Q8—82no—
1141C2×Q8—82no—
1142C2×Q8C22×D412yes—
1143C2×Q8C22×D412yes—
1144C2×Q8C22×D412yes—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—24no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
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—21no—
1192C2×D4—21no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
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—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—432no—
1236C2×D4—432no—
1237C2×D4—432no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—81no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—82no—
1269C2×D4—82no—
1270C2×D4—82no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—81no—
1286C2×D4—81no—
1287C2×D4—81no—
1288C2×D4—81no—
1289C2×D4—81no—
1290C2×D4—81no—
1291C2×D4—816no—
1292C2×D4—816no—
1293C2×D4C22×D412yes—
1294C2×D4C22×D412yes—
1295C2×D4C22×D412yes—
1296C2×D4H(5,𝔽2)12yes—
1297C2×D4H(5,𝔽2)12yes—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—21no—
1303C22×C4—21no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—24no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
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—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—81no—
1351C22×C4—81no—
1352C22×C4—81no—
1353C22×C4—81no—
1354C22×C4—81no—
1355C22×C4—81no—
1356C22×C4—81no—
1357C22×C4—81no—
1358C22×C4—81no—
1359C22×C4—81no—
1360C22×C4—81no—
1361C22×C4C22×D411yescharacteristic
1362C22×C4C22×D411yescharacteristic
1363C22×C4C22×D411yescharacteristic
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D411yescharacteristic
1367C22×C4C22×D411yescharacteristic
1368C22×C4C22×D411yescharacteristic
1369C22×C4C22×D411yescharacteristic
1370C22×C4C22×D412yes—
1371C22×C4C22×D412yes—
1372C22×C4C22×D411yescharacteristic
1373C22×C4H(5,𝔽2)12yes—
1374C22×C4H(5,𝔽2)12yes—
1375C22×C4C2511yescharacteristic
1376Q16—44no—
1377Q16—44no—
1378SD16—28no—
1379SD16—28no—
1380SD16—44no—
1381SD16—44no—
1382SD16—44no—
1383SD16—44no—
1384SD16—44no—
1385SD16—44no—
1386SD16—44no—
1387SD16—44no—
1388D8—44no—
1389D8—44no—
1390D8—44no—
1391D8—44no—
1392D8—44no—
1393D8—44no—
1394D8—82no—
1395D8—82no—
1396M16—44no—
1397M16—44no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—21no—
1407C2×C8—21no—
1408C2×C8—21no—
1409C2×C8—21no—
1410C2×C8—21no—
1411C2×C8—21no—
1412C2×C8—21no—
1413C2×C8—21no—
1414C2×C8—21no—
1415C2×C8—21no—
1416C2×C8—21no—
1417C2×C8—21no—
1418C2×C8—44no—
1419C2×C8—44no—
1420C2×C8—44no—
1421C2×C8C22×D412yes—
1422C2×C8C22×D412yes—
1423C2×C8C22×D412yes—
1424C2×C8C22×D412yes—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—41no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—81no—
1450C4⋊C4—81no—
1451C4⋊C4C22×D412yes—
1452C4⋊C4C22×D412yes—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—81no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C22⋊C4—81no—
1499C22⋊C4—81no—
1500C22⋊C4—81no—
1501C22⋊C4—81no—
1502C22⋊C4—81no—
1503C22⋊C4—81no—
1504C22⋊C4—81no—
1505C22⋊C4—81no—
1506C42—21no—
1507C42—21no—
1508C42—21no—
1509C42—21no—
1510C42—21no—
1511C42—21no—
1512C42—42no—
1513C42—42no—
1514C42—81no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—22no—
1541C23—21no—
1542C23—22no—
1543C23—21no—
1544C23—21no—
1545C23—48no—
1546C23—48no—
1547C23—48no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—162no—
1594C23—162no—
1595C23—162no—
1596C23—162no—
1597C23—162no—
1598C23—162no—
1599C23—162no—
1600C23—162no—
1601C23—162no—
1602C23—162no—
1603C23—162no—
1604C23—162no—
1605C23—162no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23D4212yes—
1611C23D4212yes—
1612C23#57612yes—
1613C23C23×D411yescharacteristic
1614Q8—22no—
1615Q8—22no—
1616Q8—22no—
1617Q8—22no—
1618Q8—22no—
1619Q8—22no—
1620Q8—44no—
1621Q8—41no—
1622Q8—41no—
1623Q8—41no—
1624Q8—41no—
1625Q8—41no—
1626Q8—41no—
1627Q8—84no—
1628D4—22no—
1629D4—22no—
1630D4—22no—
1631D4—22no—
1632D4—22no—
1633D4—22no—
1634D4—22no—
1635D4—44no—
1636D4—44no—
1637D4—48no—
1638D4—44no—
1639D4—48no—
1640D4—44no—
1641D4—44no—
1642D4—44no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—41no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—162no—
1675D4—162no—
1676D4—162no—
1677D4—162no—
1678D4—162no—
1679D4—162no—
1680D4—162no—
1681D4—162no—
1682D4—162no—
1683D4D4214yes—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—41no—
1728C2×C4—41no—
1729C2×C4—41no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—84no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—162no—
1766C2×C4—162no—
1767C2×C4—162no—
1768C2×C4D4212yes—
1769C2×C4D4212yes—
1770C2×C4#57712yes—
1771C2×C4C23×D411yescharacteristic
1772C2×C4C23×D411yescharacteristic
1773C2×C4C2×H(5,𝔽2)11yescharacteristic
1774C2×C4C2×H(5,𝔽2)11yescharacteristic
1775C2×C4C2×H(5,𝔽2)11yescharacteristic
1776C2×C4C2×H(5,𝔽2)11yescharacteristic
1777C8—22no—
1778C8—22no—
1779C8—22no—
1780C8—22no—
1781C8—41no—
1782C8—41no—
1783C8—41no—
1784C8—41no—
1785C22—22no—
1786C22—22no—
1787C22—24no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—41no—
1796C22—41no—
1797C22—42no—
1798C22—42no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—41no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—41no—
1826C22—81no—
1827C22—81no—
1828C22—81no—
1829C22—81no—
1830C22—81no—
1831C22—81no—
1832C22—81no—
1833C22—81no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—168no—
1856C22—168no—
1857C22—168no—
1858C22—168no—
1859C22C2×D4211yescharacteristic
1860C22C2×D4211yescharacteristic
1861C22#348411yescharacteristic
1862C22C2×#57611yescharacteristic
1863C22C2×#57711yescharacteristic
1864C22#358411yescharacteristic
1865C22#358511yescharacteristic
1866C4—22no—
1867C4—22no—
1868C4—22no—
1869C4—41no—
1870C4—41no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—41no—
1875C4—42no—
1876C4—41no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—81no—
1882C4—81no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4C2×D4211yescharacteristic
1887C4#348411yescharacteristic
1888C4#348411yescharacteristic
1889C4#353211yescharacteristic
1890C2—42no—
1891C2—42no—
1892C2—42no—
1893C2—44no—
1894C2—81no—
1895C2—82no—
1896C2—82no—
1897C2—161no—
1898C2—161no—
1899C2—161no—
1900C2#5899011yescharacteristic
1901C2#6105611yescharacteristic
1902C2#6107211yescharacteristic
1903C2#6108511yescharacteristic
1904C2#6109511yescharacteristic
1905C2#6162911yescharacteristic
1906C2#6167811yescharacteristic
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×#3282C2semidirect
2. C2×#3265C2semidirect
3. C2×#3012C2semidirect
4. C2×#3012C2semidirect
5. #45244C2semidirect
6. #35680C2semidirect
7. #31061C2semidirect
8. #30505C2semidirect
9. #30475C2semidirect
10. #30458C2semidirect
11. #25794C2semidirect
12. #25777C2semidirect
13. #25757C2semidirect
14. #25164C2semidirect
15. #25152C2semidirect
16. #25123C2semidirect
17. #25108C2semidirect
18. #25102C2semidirect
19. #25080C2semidirect
20. #24444C2semidirect
21. #24424C2semidirect
22. #24397C2semidirect
23. #24391C2semidirect
24. #24366C2semidirect
25. #24364C2semidirect
26. #23866C2semidirect
27. #23854C2semidirect
28. #23849C2semidirect
29. #22874C2semidirect
30. #22862C2semidirect
31. #22847C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
36. C22×#135C22semidirect
37. C23×SD16C22semidirect
38. C2×#548C22semidirect
39. C2×#548C22semidirect
43. C2×#537C22semidirect
44. C2×#537C22semidirect
47. C2×#496C22semidirect
48. C2×#495C22semidirect
49. C2×#493C22semidirect
50. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#466C22semidirect
53. C2×#466C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#460C22semidirect
58. C2×#463C22semidirect
59. C2×#463C22semidirect
60. C2×#459C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#451C22semidirect
74. C2×#448C22semidirect
75. C2×#448C22semidirect
79. C2×#450C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#440C22semidirect
87. C2×C4×SD16C22semidirect
88. C2×#435C22semidirect
89. C2×C8×D4C22semidirect
91. C2×#417C22semidirect
93. C22×#102C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
103. #2541C22semidirect
108. #2431C22semidirect
109. #2431C22semidirect
113. #2426C22semidirect
114. #2426C22semidirect
115. #2416C22semidirect
116. #2416C22semidirect
119. #2409C22semidirect
128. #2360C22semidirect
129. #2360C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2042C22semidirect
140. #2041C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
143. #2035C22semidirect
144. #2034C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2014C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #1999C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1972C22semidirect
167. #1970C22semidirect
168. #1969C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1935C22semidirect
172. #1934C22semidirect
173. #1928C22semidirect
174. #1926C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1878C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1874C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1853C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
367. #452D4semidirect
372. #450D4semidirect
723. C2×Q16C2×D4semidirect
754. C2×SD16C2×D4semidirect
830. C22⋊Q8C2×D4semidirect
831. C22⋊Q8C2×D4semidirect
996. #103C2×D4semidirect
1018. #102C2×D4semidirect
1028. C22⋊C8C2×D4semidirect
1029. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32822
C2×#32652
C2×#30122
#452442
#356802
#310612
#305052
#304752
#304582
#257942
#257772
#257572
#251642
#251522
#251232
#251082
#251022
#250802
#244442
#244242
#243972
#243912
#243662
#243642
#238662
#238542
#238492
#228742
#228622
#228472