Finite Group Databasebeta

← #7514122

Subgroups — #7514122

Order 512.

3430 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3273C211yesmaximal, characteristic, complemented
2C2×#3272C211yesmaximal, characteristic, complemented
3C2×#3012C211yesmaximal, characteristic, complemented
4C2×#3008C211yesmaximal, characteristic, complemented
5#44868C211yesmaximal, characteristic, complemented
6#35750C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#30513C211yesmaximal, characteristic, complemented
9#30455C211yesmaximal, characteristic, complemented
10#30454C211yesmaximal, characteristic, complemented
11#25781C211yesmaximal, characteristic, complemented
12#25775C211yesmaximal, characteristic, complemented
13#25762C211yesmaximal, characteristic, complemented
14#25160C211yesmaximal, characteristic, complemented
15#25148C211yesmaximal, characteristic, complemented
16#25139C211yesmaximal, characteristic, complemented
17#25136C211yesmaximal, characteristic, complemented
18#25101C211yesmaximal, characteristic, complemented
19#25094C211yesmaximal, characteristic, complemented
20#24434C211yesmaximal, characteristic, complemented
21#24430C211yesmaximal, characteristic, complemented
22#24394C211yesmaximal, characteristic, complemented
23#24393C211yesmaximal, characteristic, complemented
24#24373C211yesmaximal, characteristic, complemented
25#24366C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic, complemented
27#23850C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#22872C211yesmaximal, characteristic, complemented
30#22870C211yesmaximal, characteristic, complemented
31#22853C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C22×#135C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic
38C2×#547C2211yescharacteristic
39C2×#546C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×D42C2211yescharacteristic, complemented
43C2×#537C2211yescharacteristic
44C2×#535C2211yescharacteristic
45#3273—28no—
46#3272—28no—
47C2×#495C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#492C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#467C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#461C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3012—28no—
62#3008—28no—
63C2×#452C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#452C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic
69C2×#449C2211yescharacteristic
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#450C2211yescharacteristic, complemented
75C2×#450C2211yescharacteristic, complemented
76C2×#450C2211yescharacteristic, complemented
77C2×#450C2211yescharacteristic, complemented
78C2×#447C2211yescharacteristic
79C2×#447C2211yescharacteristic
80C2×#447C2211yescharacteristic
81C2×#447C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×C4×D8C2211yescharacteristic, complemented
87C2×C4×D8C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic, complemented
89C2×#436C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#418C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C22×#102C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2678—21no—
97#2672—21no—
98#2669—21no—
99#2668—21no—
100#2616C2211yescharacteristic, complemented
101#2613—21no—
102#2540C2211yescharacteristic, complemented
103#2472—21no—
104#2435C2211yescharacteristic, complemented
105#2435C2211yescharacteristic, complemented
106#2432C2211yescharacteristic, complemented
107#2432C2211yescharacteristic, complemented
108#2431C2211yescharacteristic, complemented
109#2430—21no—
110#2428—21no—
111#2428C2211yescharacteristic, complemented
112#2427C2211yescharacteristic, complemented
113#2416C2211yescharacteristic, complemented
114#2415C2211yescharacteristic, complemented
115#2410—21no—
116#2410—21no—
117#2410—21no—
118#2408—21no—
119#2408C2211yescharacteristic
120#2408C2211yescharacteristic, complemented
121#2407C2211yescharacteristic, complemented
122#2407C2211yescharacteristic, complemented
123#2406—21no—
124#2405—21no—
125#2405—21no—
126#2388C2211yescharacteristic
127C2×#394—21no—
128#2363C2211yescharacteristic, complemented
129#2361C2211yescharacteristic, complemented
130#2339C2211yescharacteristic, complemented
131D4×C22⋊C4C2211yescharacteristic, complemented
132D4×C22⋊C4C2211yescharacteristic, complemented
133#2067C2211yescharacteristic, complemented
134#2067C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2034C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1970C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1968C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1893C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1873C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1851C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C8×C22⋊C4C2211yescharacteristic, 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×D4—21no—
221C23×D4—21no—
222C23×D4—21no—
223C23×D4—21no—
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C2×AGL(1,ℤ/8)—24no—
230C2×AGL(1,ℤ/8)—24no—
231C2×AGL(1,ℤ/8)—24no—
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—24no—
234C2×AGL(1,ℤ/8)—24no—
235C2×AGL(1,ℤ/8)—42no—
236C2×AGL(1,ℤ/8)—42no—
237C2×AGL(1,ℤ/8)—42no—
238C2×#135—24no—
239C2×#135—42no—
240C2×#135—42no—
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×D8—24no—
253C22×D8—42no—
254C22×D8—42no—
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C23×C8C2311yescharacteristic
268C23×C8C2311yescharacteristic
269#547—24no—
270#547—42no—
271#546—24no—
272#546—24no—
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×C4⋊Q8C2311yescharacteristic
284C2×#127—21no—
285C2×#127C2311yescharacteristic
286C2×#124—21no—
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290C2×#124C2311yescharacteristic
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
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×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
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×#120—21no—
332C2×C4×D4—21no—
333C2×C4×D4C2311yescharacteristic
334C2×C4×D4C2311yescharacteristic
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C22×C4⋊C4—21no—
343C22×C4⋊C4C2311yescharacteristic
344C22×C22⋊C4—21no—
345C22×C22⋊C4—21no—
346C22×C22⋊C4—21no—
347C22×C22⋊C4—21no—
348C22×C22⋊C4—21no—
349#495—24no—
350#495—42no—
351#492—24no—
352#468—24no—
353#468—24no—
354#468—24no—
355#468—24no—
356#467—42no—
357#465—42no—
358#463—24no—
359#463—24no—
360#463—42no—
361#461—24no—
362#459—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452—24no—
367#450—24no—
368#450—24no—
369#450—24no—
370#450—24no—
371#449—24no—
372#449—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449D418yescomplemented
378#447—24no—
379#447—24no—
380#447—24no—
381#447—24no—
382#447—24no—
383#447—24no—
384#447—42no—
385#447D418yescomplemented
386C4×D8—24no—
387C4×D8—24no—
388#436—24no—
389#436—24no—
390C2×#107C2311yescharacteristic
391C2×#107C2311yescharacteristic
392C2×#107C2311yescharacteristic
393C2×#106C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397#418—24no—
398#417—24no—
399#416—24no—
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
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
433#408—24no—
434#408—24no—
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×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×C22⋊C8C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447C2×C4×C8C2311yescharacteristic
448C2×C4×C8C2311yescharacteristic
449#399—21no—
450#397—21no—
451#397—21no—
452#396—21no—
453#395—21no—
454#395D411yescharacteristic
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#394—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#394—21no—
472#394—21no—
473#394—21no—
474#394D411yescharacteristic
475#394D411yescharacteristic
476#394D411yescharacteristic
477#393D411yescharacteristic
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#392D411yescharacteristic
487#392D411yescharacteristic
488#392D411yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#390—21no—
493#390—21no—
494#390—21no—
495#390C2311yescharacteristic
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389—21no—
503#389C2311yescharacteristic
504#389C2311yescharacteristic
505#388—21no—
506#388—21no—
507#388—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#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#381—21no—
531#380—21no—
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#379—21no—
537#379—21no—
538#379—21no—
539#379—21no—
540#379—21no—
541#379—21no—
542#379—21no—
543#379—21no—
544C4×C4⋊C4C2311yescharacteristic
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—
568C25—21no—
569H(5,𝔽2)—416no—
570H(5,𝔽2)—416no—
571H(5,𝔽2)—416no—
572H(5,𝔽2)—416no—
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—22no—
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—41no—
604C2×#41—41no—
605C2×#41—41no—
606C2×#41—44no—
607C2×#41—41no—
608C2×#41—41no—
609C2×#41—44no—
610C2×#41—44no—
611C2×#41C2×D414yes—
612C22×Q8C2×D411yescharacteristic
613C22×Q8C2411yescharacteristic
614C22×Q8C2411yescharacteristic
615C22×Q8C2411yescharacteristic
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—22no—
627C22×D4—22no—
628C22×D4—22no—
629C22×D4—22no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—21no—
633C22×D4—21no—
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—22no—
644C22×D4—22no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—22no—
651C22×D4—22no—
652C22×D4—22no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—41no—
656C22×D4—41no—
657C22×D4—41no—
658C22×D4—41no—
659C22×D4—41no—
660C22×D4—41no—
661C22×D4—41no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—44no—
667C22×D4—44no—
668C22×D4—44no—
669C22×D4—44no—
670C22×D4—44no—
671C22×D4—44no—
672C22×D4—44no—
673C22×D4—44no—
674C22×D4—44no—
675C22×D4—44no—
676C22×D4—82no—
677C22×D4—82no—
678C22×D4C2×D411yescharacteristic
679C22×D4C2×D411yescharacteristic
680C22×D4C2×D411yescharacteristic
681C22×D4C2×D411yescharacteristic
682C22×D4C2×D411yescharacteristic
683C22×D4C2×D411yescharacteristic
684C22×D4C2×D414yescomplemented
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C22×D4C2411yescharacteristic
688C22×D4C2411yescharacteristic
689C22×D4C2411yescharacteristic
690C22×D4C2411yescharacteristic
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×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706AGL(1,ℤ/8)—416no—
707AGL(1,ℤ/8)—416no—
708AGL(1,ℤ/8)—416no—
709#135—416no—
710C2×Q16—22no—
711C2×Q16—22no—
712C2×Q16—41no—
713C2×Q16—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×SD16—22no—
717C2×SD16—22no—
718C2×SD16—22no—
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—41no—
733C2×SD16—41no—
734C2×SD16—41no—
735C2×SD16—41no—
736C2×SD16—41no—
737C2×SD16—41no—
738C2×SD16—41no—
739C2×SD16—41no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16C2×D414yes—
743C2×D8—22no—
744C2×D8—22no—
745C2×D8—22no—
746C2×D8—22no—
747C2×D8—22no—
748C2×D8—22no—
749C2×D8—22no—
750C2×D8—22no—
751C2×D8—22no—
752C2×D8—22no—
753C2×D8—22no—
754C2×D8—22no—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—41no—
760C2×D8—41no—
761C2×D8—41no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8—416no—
768C2×D8C2×D414yes—
769C2×D8C2×D414yes—
770C2×D8C2×D414yes—
771C2×M16—22no—
772C2×M16—22no—
773C2×M16—22no—
774C2×M16—22no—
775C2×M16—22no—
776C2×M16—22no—
777C2×M16—41no—
778C2×M16—41no—
779C2×M16—41no—
780C22×C8—22no—
781C22×C8—22no—
782C22×C8—22no—
783C22×C8—22no—
784C22×C8—41no—
785C22×C8—41no—
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C4⋊Q8—22no—
795C4⋊Q8—41no—
796#127—22no—
797#127—41no—
798#127—44no—
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—44no—
808#123—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—22no—
821C22⋊Q8—22no—
822C22⋊Q8—44no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
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—41no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121—41no—
848#121—44no—
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—82no—
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—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—41no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4C2×D411yescharacteristic
900C2×C4⋊C4C2×D411yescharacteristic
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
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—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—44no—
958C2×C22⋊C4—44no—
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×C42C2411yescharacteristic
977C2×C42C2411yescharacteristic
978C2×C42C2411yescharacteristic
979#107—22no—
980#107—22no—
981#107—41no—
982#106—41no—
983C4⋊C8—22no—
984C4⋊C8—22no—
985C4⋊C8—41no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—41no—
993#103—41no—
994#103—41no—
995#103—41no—
996#103C2×D414yes—
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—22no—
1011#102—41no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102C2×D414yes—
1016#102C2×D414yescomplemented
1017#102C2×D414yescomplemented
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—41no—
1027C22⋊C8C2×D414yes—
1028C22⋊C8C2×D414yescomplemented
1029C4×C8—22no—
1030C4×C8—22no—
1031C4×C8—41no—
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#95—21no—
1043#95—21no—
1044#95—21no—
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047#95C2×D411yescharacteristic
1048#95C2×D411yescharacteristic
1049#95C2×D411yescharacteristic
1050#95C2×D411yescharacteristic
1051C24—21no—
1052C24—24no—
1053C24—21no—
1054C24—21no—
1055C24—21no—
1056C24—21no—
1057C24—24no—
1058C24—21no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—81no—
1072C24—81no—
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—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24C22×D411yescharacteristic
1093C24C22×D411yescharacteristic
1094C24C22×D411yescharacteristic
1095C24C22×D411yescharacteristic
1096#41—28no—
1097#41—28no—
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—44no—
1112#41—44no—
1113#41—432no—
1114#41—44no—
1115#41—44no—
1116#41—82no—
1117#41—82no—
1118#41—82no—
1119#41—82no—
1120#41—82no—
1121C2×Q8—22no—
1122C2×Q8—22no—
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—21no—
1135C2×Q8—21no—
1136C2×Q8—21no—
1137C2×Q8—21no—
1138C2×Q8—21no—
1139C2×Q8—21no—
1140C2×Q8—41no—
1141C2×Q8C22×D412yes—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—24no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—24no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—22no—
1156C2×D4—24no—
1157C2×D4—22no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
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—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—432no—
1229C2×D4—432no—
1230C2×D4—432no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—82no—
1255C2×D4—82no—
1256C2×D4—82no—
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—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—816no—
1276C2×D4C22×D412yes—
1277C2×D4C22×D412yes—
1278C2×D4C22×D412yes—
1279C2×D4C22×D412yes—
1280C2×D4C22×D412yes—
1281C2×D4H(5,𝔽2)12yes—
1282C2×D4H(5,𝔽2)12yes—
1283C22×C4—21no—
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—24no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
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—21no—
1312C22×C4—21no—
1313C22×C4—21no—
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—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—81no—
1336C22×C4—81no—
1337C22×C4—81no—
1338C22×C4—81no—
1339C22×C4—81no—
1340C22×C4—81no—
1341C22×C4—81no—
1342C22×C4—81no—
1343C22×C4—81no—
1344C22×C4—81no—
1345C22×C4—81no—
1346C22×C4C22×D411yescharacteristic
1347C22×C4C22×D411yescharacteristic
1348C22×C4C22×D411yescharacteristic
1349C22×C4C22×D411yescharacteristic
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D412yes—
1356C22×C4C22×D412yes—
1357C22×C4C22×D411yescharacteristic
1358C22×C4H(5,𝔽2)12yes—
1359C22×C4H(5,𝔽2)12yes—
1360C22×C4C2511yescharacteristic
1361Q16—44no—
1362Q16—82no—
1363SD16—44no—
1364SD16—44no—
1365SD16—44no—
1366SD16—44no—
1367SD16—44no—
1368SD16—44no—
1369SD16—44no—
1370SD16—44no—
1371SD16—82no—
1372D8—28no—
1373D8—28no—
1374D8—44no—
1375D8—44no—
1376D8—44no—
1377D8—44no—
1378D8—44no—
1379D8—44no—
1380D8—44no—
1381M16—44no—
1382M16—44no—
1383M16—44no—
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—21no—
1396C2×C8—21no—
1397C2×C8—21no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—44no—
1405C2×C8—44no—
1406C2×C8C22×D412yes—
1407C2×C8C22×D412yes—
1408C2×C8C22×D412yes—
1409C2×C8C22×D412yes—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—41no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—81no—
1437C4⋊C4C22×D412yes—
1438C4⋊C4C22×D412yes—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
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—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—81no—
1483C22⋊C4—81no—
1484C22⋊C4—81no—
1485C22⋊C4—81no—
1486C22⋊C4—81no—
1487C22⋊C4—81no—
1488C22⋊C4—81no—
1489C22⋊C4—81no—
1490C22⋊C4—81no—
1491C22⋊C4—81no—
1492C22⋊C4—81no—
1493C22⋊C4—81no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C22⋊C4—81no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—42no—
1506C42—81no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23—22no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—21no—
1530C23—21no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—48no—
1541C23—48no—
1542C23—48no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
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—84no—
1579C23—84no—
1580C23—84no—
1581C23—84no—
1582C23—84no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23—162no—
1588C23—162no—
1589C23—162no—
1590C23—162no—
1591C23—162no—
1592C23—162no—
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—
1612C23C23×D411yescharacteristic
1613Q8—22no—
1614Q8—22no—
1615Q8—44no—
1616Q8—41no—
1617Q8—41no—
1618Q8—41no—
1619Q8—41no—
1620Q8—41no—
1621Q8—41no—
1622Q8—41no—
1623Q8—41no—
1624Q8—41no—
1625Q8—41no—
1626D4—22no—
1627D4—22no—
1628D4—22no—
1629D4—22no—
1630D4—22no—
1631D4—22no—
1632D4—22no—
1633D4—22no—
1634D4—22no—
1635D4—22no—
1636D4—22no—
1637D4—44no—
1638D4—48no—
1639D4—44no—
1640D4—44no—
1641D4—48no—
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—84no—
1660D4—84no—
1661D4—82no—
1662D4—84no—
1663D4—84no—
1664D4—82no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—162no—
1670D4—162no—
1671D4—162no—
1672D4—162no—
1673D4—162no—
1674D4—162no—
1675D4—162no—
1676D4D4214yes—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—48no—
1716C2×C4—48no—
1717C2×C4—48no—
1718C2×C4—41no—
1719C2×C4—41no—
1720C2×C4—41no—
1721C2×C4—41no—
1722C2×C4—41no—
1723C2×C4—41no—
1724C2×C4—41no—
1725C2×C4—41no—
1726C2×C4—41no—
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—84no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4—84no—
1757C2×C4—162no—
1758C2×C4—162no—
1759C2×C4—162no—
1760C2×C4—162no—
1761C2×C4D4212yes—
1762C2×C4D4212yes—
1763C2×C4#57612yes—
1764C2×C4C23×D411yescharacteristic
1765C2×C4C23×D411yescharacteristic
1766C2×C4C2×H(5,𝔽2)11yescharacteristic
1767C2×C4C2×H(5,𝔽2)11yescharacteristic
1768C2×C4C2×H(5,𝔽2)11yescharacteristic
1769C2×C4C2×H(5,𝔽2)11yescharacteristic
1770C8—22no—
1771C8—22no—
1772C8—22no—
1773C8—22no—
1774C8—41no—
1775C8—41no—
1776C8—41no—
1777C8—41no—
1778C22—22no—
1779C22—22no—
1780C22—24no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—42no—
1786C22—41no—
1787C22—41no—
1788C22—42no—
1789C22—42no—
1790C22—41no—
1791C22—41no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—42no—
1800C22—42no—
1801C22—41no—
1802C22—41no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—41no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—42no—
1822C22—41no—
1823C22—42no—
1824C22—41no—
1825C22—81no—
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—168no—
1849C22—168no—
1850C22—168no—
1851C22—168no—
1852C22—168no—
1853C22C2×D4211yescharacteristic
1854C22C2×D4211yescharacteristic
1855C22#348411yescharacteristic
1856C22C2×#57611yescharacteristic
1857C22#358411yescharacteristic
1858C22#358411yescharacteristic
1859C22#358511yescharacteristic
1860C4—22no—
1861C4—22no—
1862C4—22no—
1863C4—41no—
1864C4—41no—
1865C4—42no—
1866C4—42no—
1867C4—41no—
1868C4—41no—
1869C4—42no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—81no—
1874C4—81no—
1875C4—81no—
1876C4—81no—
1877C4—81no—
1878C4—81no—
1879C4—81no—
1880C4C2×D4211yescharacteristic
1881C4#348411yescharacteristic
1882C4#348411yescharacteristic
1883C4#353211yescharacteristic
1884C2—42no—
1885C2—42no—
1886C2—44no—
1887C2—81no—
1888C2—81no—
1889C2—82no—
1890C2—82no—
1891C2—82no—
1892C2—82no—
1893C2—161no—
1894C2#5899011yescharacteristic
1895C2#6107211yescharacteristic
1896C2#6107411yescharacteristic
1897C2#6108411yescharacteristic
1898C2#6108811yescharacteristic
1899C2#6161411yescharacteristic
1900C2#6165711yescharacteristic
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×#3273C2semidirect
2. C2×#3272C2semidirect
3. C2×#3012C2semidirect
4. C2×#3008C2semidirect
5. #44868C2semidirect
6. #35750C2semidirect
7. #31057C2semidirect
8. #30513C2semidirect
9. #30455C2semidirect
10. #30454C2semidirect
11. #25781C2semidirect
12. #25775C2semidirect
13. #25762C2semidirect
14. #25160C2semidirect
15. #25148C2semidirect
16. #25139C2semidirect
17. #25136C2semidirect
18. #25101C2semidirect
19. #25094C2semidirect
20. #24434C2semidirect
21. #24430C2semidirect
22. #24394C2semidirect
23. #24393C2semidirect
24. #24373C2semidirect
25. #24366C2semidirect
26. #23861C2semidirect
27. #23850C2semidirect
28. #23848C2semidirect
29. #22872C2semidirect
30. #22870C2semidirect
31. #22853C2semidirect
32. C22×H(5,𝔽2)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C22×#135C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×D42C22semidirect
47. C2×#495C22semidirect
48. C2×#495C22semidirect
49. C2×#492C22semidirect
50. C2×#468C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#467C22semidirect
55. C2×#465C22semidirect
56. C2×#463C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#461C22semidirect
60. C2×#459C22semidirect
63. C2×#452C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#450C22semidirect
75. C2×#450C22semidirect
76. C2×#450C22semidirect
77. C2×#450C22semidirect
81. C2×#447C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×C4×D8C22semidirect
87. C2×C4×D8C22semidirect
88. C2×#436C22semidirect
89. C2×#436C22semidirect
90. C2×#417C22semidirect
91. C2×#418C22semidirect
92. C2×#416C22semidirect
93. C22×#102C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
100. #2616C22semidirect
102. #2540C22semidirect
104. #2435C22semidirect
105. #2435C22semidirect
106. #2432C22semidirect
107. #2432C22semidirect
108. #2431C22semidirect
111. #2428C22semidirect
112. #2427C22semidirect
113. #2416C22semidirect
114. #2415C22semidirect
120. #2408C22semidirect
121. #2407C22semidirect
122. #2407C22semidirect
128. #2363C22semidirect
129. #2361C22semidirect
130. #2339C22semidirect
131. D4×C22⋊C4C22semidirect
132. D4×C22⋊C4C22semidirect
133. #2067C22semidirect
134. #2067C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2034C22semidirect
144. #2034C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2016C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #2000C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1983C22semidirect
166. #1970C22semidirect
167. #1970C22semidirect
168. #1968C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1934C22semidirect
172. #1933C22semidirect
173. #1928C22semidirect
174. #1925C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1893C22semidirect
181. #1893C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1873C22semidirect
191. #1872C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
200. #1851C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. C8×C22⋊C4C22semidirect
206. C8×C22⋊C4C22semidirect
377. #449D4semidirect
385. #447D4semidirect
684. C22×D4C2×D4semidirect
1016. #102C2×D4semidirect
1017. #102C2×D4semidirect
1028. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32732
C2×#32722
C2×#30122
C2×#30082
#448682
#357502
#310572
#305132
#304552
#304542
#257812
#257752
#257622
#251602
#251482
#251392
#251362
#251012
#250942
#244342
#244302
#243942
#243932
#243732
#243662
#238612
#238502
#238482
#228722
#228702
#228532