Finite Group Databasebeta

← #7514280

Subgroups — #7514280

Order 512.

3504 conjugacy classes of subgroups.

The subgroup lattice has 1909 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3273C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3C2×#3006C211yesmaximal, characteristic, complemented
4C2×#3002C211yesmaximal, characteristic, complemented
5#59003C211yesmaximal, characteristic, complemented
6#36212C211yesmaximal, characteristic, complemented
7#31061C211yesmaximal, characteristic, complemented
8#30516C211yesmaximal, characteristic, complemented
9#30461C211yesmaximal, characteristic, complemented
10#30457C211yesmaximal, characteristic, complemented
11#25794C211yesmaximal, characteristic, complemented
12#25777C211yesmaximal, characteristic, complemented
13#25757C211yesmaximal, characteristic, complemented
14#25164C211yesmaximal, characteristic, complemented
15#25148C211yesmaximal, characteristic, complemented
16#25139C211yesmaximal, characteristic, complemented
17#25131C211yesmaximal, characteristic, complemented
18#25102C211yesmaximal, characteristic, complemented
19#25087C211yesmaximal, characteristic, complemented
20#24444C211yesmaximal, characteristic, complemented
21#24428C211yesmaximal, characteristic, complemented
22#24388C211yesmaximal, characteristic, complemented
23#24378C211yesmaximal, characteristic, complemented
24#24372C211yesmaximal, characteristic, complemented
25#24364C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23857C211yesmaximal, characteristic, complemented
29#22872C211yesmaximal, characteristic, complemented
30#22862C211yesmaximal, characteristic, complemented
31#22848C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C22×#135C2211yescharacteristic, complemented
37C22×#135C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic, complemented
41C2×#546C2211yescharacteristic, complemented
42C2×D42C2211yescharacteristic, complemented
43C2×#525C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic, complemented
45#3273—28no—
46#3268—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#493C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3006—28no—
62#3002—28no—
63C2×#452C2211yescharacteristic
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×#449C2211yescharacteristic, complemented
75C2×#451C2211yescharacteristic, complemented
76C2×#448C2211yescharacteristic, complemented
77C2×#448C2211yescharacteristic, complemented
78C2×#448C2211yescharacteristic, complemented
79C2×#450C2211yescharacteristic, complemented
80C2×#447C2211yescharacteristic
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#440C2211yescharacteristic, complemented
87C2×C4×D8C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic, complemented
89C2×#435C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C2×#416C2211yescharacteristic, complemented
94C2×#407C2211yescharacteristic, complemented
95C22×C22⋊C8C2211yescharacteristic, complemented
96#2849—21no—
97#2847C2211yescharacteristic
98#2682—21no—
99#2673—21no—
100#2541C2211yescharacteristic
101#2456—21no—
102#2436C2211yescharacteristic, complemented
103#2433—21no—
104#2433C2211yescharacteristic, complemented
105#2431C2211yescharacteristic
106#2431C2211yescharacteristic, complemented
107#2431C2211yescharacteristic, complemented
108#2430—21no—
109#2430—21no—
110#2428—21no—
111#2428C2211yescharacteristic, complemented
112#2426C2211yescharacteristic, complemented
113#2424—21no—
114#2416C2211yescharacteristic, complemented
115#2414C2211yescharacteristic, complemented
116#2410—21no—
117#2410—21no—
118#2409C2211yescharacteristic, complemented
119#2407C2211yescharacteristic
120#2407C2211yescharacteristic
121#2407C2211yescharacteristic, complemented
122#2404—21no—
123#2404—21no—
124#2403—21no—
125#2363C2211yescharacteristic, complemented
126#2360C2211yescharacteristic, complemented
127#2358—21no—
128#2339C2211yescharacteristic
129#2339C2211yescharacteristic, complemented
130D4×C22⋊C4C2211yescharacteristic, complemented
131C4×#120C2211yescharacteristic
132C2×#386—21no—
133#2067C2211yescharacteristic, complemented
134#2067C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2035C2211yescharacteristic, complemented
143#2035C2211yescharacteristic, complemented
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2014C2211yescharacteristic, 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
161#1999C2211yescharacteristic
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#1933C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1928C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1893C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1852C2211yescharacteristic, 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
207C22×#41—21no—
208C22×#41—21no—
209C22×#41—24no—
210C22×#41—24no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41—42no—
214C22×#41—42no—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C24×C4—21no—
229C24×C4C2311yescharacteristic
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×AGL(1,ℤ/8)—42no—
239C2×#135—24no—
240C2×#135—24no—
241C2×#135—24no—
242C2×#135—42no—
243C2×#135—42no—
244C2×#135—42no—
245C22×Q16C2311yescharacteristic
246C22×Q16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C22×M16C2311yescharacteristic
268C23×C8C2311yescharacteristic
269C23×C8C2311yescharacteristic
270#550—24no—
271#550—42no—
272#546—24no—
273#546—24no—
274#546—24no—
275#546—42no—
276#546—42no—
277#546—42no—
278D42—42no—
279D42—42no—
280C2×#127—21no—
281C2×#127—21no—
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#124C2311yescharacteristic
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288#525—24no—
289#525—42no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×C22⋊Q8C2311yescharacteristic
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—24no—
309C2×#121—42no—
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
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×#120D411yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×D4—21no—
334C2×C4×D4—21no—
335C2×C4×D4—21no—
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×#117C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C22⋊C4—21no—
346C22×C22⋊C4—21no—
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#468—24no—
356#468—24no—
357#466—24no—
358#466—42no—
359#464—24no—
360#463—24no—
361#463—24no—
362#459—24no—
363#459—42no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452D418yescomplemented
368#451—24no—
369#450—24no—
370#449—24no—
371#449—24no—
372#449—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—42no—
377#449D418yescomplemented
378#448—24no—
379#448—24no—
380#448—24no—
381#447—24no—
382#447—24no—
383#447—24no—
384#447—24no—
385#447—24no—
386#447—24no—
387#440—24no—
388C4×D8—24no—
389#436—24no—
390#435—24no—
391C2×#107C2311yescharacteristic
392C2×#107C2311yescharacteristic
393C2×#107C2311yescharacteristic
394C2×#106C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396C2×C4⋊C8C2311yescharacteristic
397C2×C4⋊C8C2311yescharacteristic
398#417—24no—
399#417—24no—
400#416—24no—
401#416—24no—
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
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434#407—24no—
435C2×C22⋊C8—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#395—21no—
453#394—21no—
454#394—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#393—21no—
461#393—21no—
462#393—21no—
463#392—21no—
464#392—21no—
465#392—21no—
466#392—21no—
467#392—21no—
468#392—21no—
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#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#390—21no—
484#390—21no—
485#390—21no—
486#390—21no—
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#389—21no—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#388—21no—
496#388—21no—
497#388—21no—
498#387—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386—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#386D411yescharacteristic
524#386D411yescharacteristic
525#386D411yescharacteristic
526#385—21no—
527#385—21no—
528#385—21no—
529#385—21no—
530#385—21no—
531#385D411yescharacteristic
532#385D411yescharacteristic
533#385D411yescharacteristic
534#381—21no—
535#381—21no—
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#379—21no—
541#379D411yescharacteristic
542C4×C4⋊C4C2311yescharacteristic
543C4×C22⋊C4—21no—
544C4×C22⋊C4—21no—
545C4×C22⋊C4C2311yescharacteristic
546C4×C22⋊C4C2311yescharacteristic
547C4×C22⋊C4C2311yescharacteristic
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—
567C25C2×D411yescharacteristic
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
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—44no—
588C2×#41—44no—
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—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—44no—
601C2×#41—44no—
602C2×#41—41no—
603C2×#41—41no—
604C2×#41—41no—
605C2×#41—41no—
606C2×#41—44no—
607C2×#41—44no—
608C2×#41—416no—
609C2×#41—416no—
610C2×#41—416no—
611C2×#41—416no—
612C2×#41C2×D414yes—
613C2×#41C2×D414yes—
614C22×Q8—21no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—41no—
618C22×Q8—41no—
619C22×Q8—41no—
620C22×Q8—41no—
621C22×Q8C2411yescharacteristic
622C22×Q8C2411yescharacteristic
623C22×Q8C2411yescharacteristic
624C22×D4—21no—
625C22×D4—21no—
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—22no—
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—41no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—44no—
670C22×D4—44no—
671C22×D4—44no—
672C22×D4—44no—
673C22×D4—44no—
674C22×D4—44no—
675C22×D4—82no—
676C22×D4—82no—
677C22×D4—82no—
678C22×D4C2×D411yescharacteristic
679C22×D4C2×D411yescharacteristic
680C22×D4C2×D411yescharacteristic
681C22×D4C2411yescharacteristic
682C22×D4C2411yescharacteristic
683C22×D4C2411yescharacteristic
684C22×D4C2411yescharacteristic
685C22×D4C2411yescharacteristic
686C22×D4C2411yescharacteristic
687C23×C4—21no—
688C23×C4—21no—
689C23×C4—22no—
690C23×C4—22no—
691C23×C4—22no—
692C23×C4—22no—
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×C4—41no—
704C23×C4—41no—
705C23×C4—44no—
706C23×C4—44no—
707C23×C4—44no—
708C23×C4C2×D411yescharacteristic
709C23×C4C2×D411yescharacteristic
710C23×C4C2×D411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715AGL(1,ℤ/8)—416no—
716AGL(1,ℤ/8)—416no—
717AGL(1,ℤ/8)—416no—
718#135—416no—
719#135—416no—
720C2×Q16—22no—
721C2×Q16—22no—
722C2×Q16—41no—
723C2×Q16—41no—
724C2×Q16—41no—
725C2×Q16C2×D414yescomplemented
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—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—41no—
751C2×SD16C2×D414yescomplemented
752C2×SD16C2×D414yescomplemented
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—22no—
766C2×D8—22no—
767C2×D8—22no—
768C2×D8—22no—
769C2×D8—22no—
770C2×D8—22no—
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×D8C2×D414yes—
780C2×M16—22no—
781C2×M16—22no—
782C2×M16—22no—
783C2×M16—22no—
784C2×M16—22no—
785C2×M16—22no—
786C2×M16—41no—
787C2×M16—41no—
788C2×M16—41no—
789C22×C8—22no—
790C22×C8—22no—
791C22×C8—22no—
792C22×C8—22no—
793C22×C8—41no—
794C22×C8—41no—
795C22×C8C2411yescharacteristic
796C22×C8C2411yescharacteristic
797C22×C8C2411yescharacteristic
798C22×C8C2411yescharacteristic
799C22×C8C2411yescharacteristic
800C22×C8C2411yescharacteristic
801C22×C8C2411yescharacteristic
802C22×C8C2411yescharacteristic
803#127—22no—
804#127—22no—
805#127—41no—
806#127—41no—
807#127—41no—
808#127—41no—
809#127—44no—
810#127—82no—
811#124—22no—
812#124—22no—
813#124—22no—
814#124—41no—
815#124—41no—
816#124—41no—
817#123—44no—
818#123—44no—
819#123—44no—
820#123—44no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—22no—
824C22⋊Q8—22no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8C2×D414yescomplemented
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—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—41no—
857#121—41no—
858#121—44no—
859#121—44no—
860#121—82no—
861#121—82no—
862#121C2×D414yescomplemented
863#120—42no—
864#120—44no—
865#120—44no—
866#120—44no—
867#120—44no—
868#120—44no—
869#120—44no—
870#120—44no—
871#120—82no—
872#120—82no—
873C4×Q8—22no—
874C4×Q8—41no—
875C4×D4—22no—
876C4×D4—22no—
877C4×D4—22no—
878C4×D4—22no—
879C4×D4—22no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—41no—
884C4×D4—41no—
885C4×D4—41no—
886C4×D4—41no—
887C4×D4—41no—
888C4×D4—41no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892#117—22no—
893#117—41no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—22no—
896C2×C4⋊C4—21no—
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—41no—
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2×D411yescharacteristic
906C2×C4⋊C4C2×D411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
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—44no—
956C2×C22⋊C4—44no—
957C2×C22⋊C4—44no—
958C2×C22⋊C4—44no—
959C2×C22⋊C4—82no—
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
973C2×C42—21no—
974C2×C42—21no—
975C2×C42C2411yescharacteristic
976C2×C42C2411yescharacteristic
977C2×C42C2411yescharacteristic
978#107—22no—
979#107—22no—
980#107—41no—
981#106—41no—
982C4⋊C8—22no—
983C4⋊C8—22no—
984C4⋊C8—41no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—22no—
990#103—22no—
991#103—22no—
992#103—22no—
993#103—41no—
994#103C2×D414yescomplemented
995#103C2×D414yescomplemented
996#102—22no—
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—41no—
1009#102—41no—
1010#102—41no—
1011#102—41no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102C2×D414yes—
1016#102C2×D414yescomplemented
1017C22⋊C8—22no—
1018C22⋊C8—22no—
1019C22⋊C8—22no—
1020C22⋊C8—22no—
1021C22⋊C8—22no—
1022C22⋊C8—22no—
1023C22⋊C8—22no—
1024C22⋊C8—22no—
1025C22⋊C8—41no—
1026C22⋊C8C2×D414yescomplemented
1027C22⋊C8C2×D414yescomplemented
1028#97—22no—
1029C4×C8—22no—
1030C4×C8—41no—
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#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—22no—
1059C24—22no—
1060C24—22no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24—41no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—42no—
1080C24—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—28no—
1095#41—28no—
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—432no—
1111#41—432no—
1112#41—44no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117#41—82no—
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—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8—21no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—42no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—44no—
1137C2×Q8—44no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8C22×D412yes—
1141C2×Q8C22×D412yes—
1142C2×Q8C22×D412yes—
1143C2×D4—24no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—24no—
1150C2×D4—22no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
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—44no—
1183C2×D4—44no—
1184C2×D4—41no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
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—42no—
1207C2×D4—42no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—432no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
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—82no—
1243C2×D4—82no—
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—82no—
1257C2×D4—82no—
1258C2×D4—82no—
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—81no—
1276C2×D4—81no—
1277C2×D4—816no—
1278C2×D4—816no—
1279C2×D4C22×D412yes—
1280C2×D4C22×D412yes—
1281C2×D4C22×D412yes—
1282C2×D4H(5,𝔽2)12yes—
1283C2×D4H(5,𝔽2)12yes—
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—22no—
1293C22×C4—22no—
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—21no—
1297C22×C4—21no—
1298C22×C4—21no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
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—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
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—432no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—81no—
1355C22×C4—81no—
1356C22×C4—81no—
1357C22×C4—81no—
1358C22×C4—81no—
1359C22×C4—81no—
1360C22×C4—81no—
1361C22×C4—81no—
1362C22×C4—81no—
1363C22×C4—81no—
1364C22×C4C22×D411yescharacteristic
1365C22×C4C22×D411yescharacteristic
1366C22×C4C22×D411yescharacteristic
1367C22×C4C22×D411yescharacteristic
1368C22×C4C22×D411yescharacteristic
1369C22×C4C22×D411yescharacteristic
1370C22×C4C22×D411yescharacteristic
1371C22×C4C22×D411yescharacteristic
1372C22×C4C22×D411yescharacteristic
1373C22×C4C22×D412yes—
1374C22×C4C22×D412yes—
1375C22×C4C22×D411yescharacteristic
1376C22×C4H(5,𝔽2)12yes—
1377C22×C4H(5,𝔽2)12yes—
1378C22×C4C2511yescharacteristic
1379Q16—44no—
1380Q16—44no—
1381SD16—28no—
1382SD16—44no—
1383SD16—44no—
1384SD16—44no—
1385SD16—44no—
1386SD16—44no—
1387SD16—44no—
1388SD16—44no—
1389SD16—44no—
1390D8—28no—
1391D8—44no—
1392D8—44no—
1393D8—44no—
1394D8—44no—
1395D8—44no—
1396D8—44no—
1397D8—82no—
1398D8—82no—
1399M16—44no—
1400M16—44no—
1401M16—44no—
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—21no—
1419C2×C8—21no—
1420C2×C8—21no—
1421C2×C8—21no—
1422C2×C8—44no—
1423C2×C8—44no—
1424C2×C8C22×D412yes—
1425C2×C8C22×D412yes—
1426C2×C8C22×D412yes—
1427C2×C8C22×D412yes—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
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—21no—
1442C4⋊C4—21no—
1443C4⋊C4—41no—
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—22no—
1455C22⋊C4—22no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—22no—
1461C22⋊C4—22no—
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—42no—
1494C22⋊C4—42no—
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—44no—
1546C23—44no—
1547C23—44no—
1548C23—48no—
1549C23—48no—
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—41no—
1586C23—41no—
1587C23—82no—
1588C23—82no—
1589C23—82no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23—82no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
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—48no—
1621Q8—41no—
1622Q8—41no—
1623Q8—41no—
1624Q8—41no—
1625Q8—41no—
1626Q8—41no—
1627D4—22no—
1628D4—22no—
1629D4—22no—
1630D4—22no—
1631D4—22no—
1632D4—22no—
1633D4—22no—
1634D4—44no—
1635D4—48no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—48no—
1640D4—41no—
1641D4—41no—
1642D4—41no—
1643D4—41no—
1644D4—41no—
1645D4—41no—
1646D4—41no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—84no—
1657D4—84no—
1658D4—82no—
1659D4—82no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—162no—
1673D4—162no—
1674D4—162no—
1675D4—162no—
1676D4—162no—
1677D4—162no—
1678D4—162no—
1679D4—162no—
1680D4D4214yes—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—48no—
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—41no—
1761C2×C4—41no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—162no—
1767C2×C4—162no—
1768C2×C4—162no—
1769C2×C4D4212yes—
1770C2×C4D4212yes—
1771C2×C4#57512yes—
1772C2×C4C23×D411yescharacteristic
1773C2×C4C23×D411yescharacteristic
1774C2×C4C2×H(5,𝔽2)11yescharacteristic
1775C2×C4C2×H(5,𝔽2)11yescharacteristic
1776C2×C4C2×H(5,𝔽2)11yescharacteristic
1777C2×C4C2×H(5,𝔽2)11yescharacteristic
1778C8—22no—
1779C8—22no—
1780C8—22no—
1781C8—22no—
1782C8—41no—
1783C8—41no—
1784C8—41no—
1785C8—41no—
1786C22—22no—
1787C22—22no—
1788C22—24no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—42no—
1800C22—42no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—42no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—42no—
1817C22—41no—
1818C22—42no—
1819C22—41no—
1820C22—41no—
1821C22—42no—
1822C22—41no—
1823C22—41no—
1824C22—42no—
1825C22—42no—
1826C22—41no—
1827C22—88no—
1828C22—816no—
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—81no—
1856C22—81no—
1857C22—81no—
1858C22—168no—
1859C22—168no—
1860C22C2×D4211yescharacteristic
1861C22C2×D4211yescharacteristic
1862C22#348411yescharacteristic
1863C22C2×#57511yescharacteristic
1864C22C2×#57611yescharacteristic
1865C22#358411yescharacteristic
1866C22#358511yescharacteristic
1867C4—22no—
1868C4—22no—
1869C4—22no—
1870C4—41no—
1871C4—41no—
1872C4—42no—
1873C4—42no—
1874C4—42no—
1875C4—41no—
1876C4—41no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—42no—
1881C4—41no—
1882C4—81no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4—81no—
1887C4C2×D4211yescharacteristic
1888C4#348411yescharacteristic
1889C4#348411yescharacteristic
1890C4#353211yescharacteristic
1891C2—42no—
1892C2—42no—
1893C2—42no—
1894C2—44no—
1895C2—81no—
1896C2—82no—
1897C2—82no—
1898C2—161no—
1899C2—161no—
1900C2—161no—
1901C2#5899011yescharacteristic
1902C2#6103811yescharacteristic
1903C2#6105611yescharacteristic
1904C2#6107011yescharacteristic
1905C2#6107211yescharacteristic
1906C2#6159211yescharacteristic
1907C2#6161411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ 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×#3268C2semidirect
3. C2×#3006C2semidirect
4. C2×#3002C2semidirect
5. #59003C2semidirect
6. #36212C2semidirect
7. #31061C2semidirect
8. #30516C2semidirect
9. #30461C2semidirect
10. #30457C2semidirect
11. #25794C2semidirect
12. #25777C2semidirect
13. #25757C2semidirect
14. #25164C2semidirect
15. #25148C2semidirect
16. #25139C2semidirect
17. #25131C2semidirect
18. #25102C2semidirect
19. #25087C2semidirect
20. #24444C2semidirect
21. #24428C2semidirect
22. #24388C2semidirect
23. #24378C2semidirect
24. #24372C2semidirect
25. #24364C2semidirect
26. #23863C2semidirect
27. #23860C2semidirect
28. #23857C2semidirect
29. #22872C2semidirect
30. #22862C2semidirect
31. #22848C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C22×#135C22semidirect
37. C22×#135C22semidirect
38. C2×#550C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
42. C2×D42C22semidirect
43. C2×#525C22semidirect
44. C22×#121C22semidirect
47. C2×#496C22semidirect
48. C2×#495C22semidirect
49. C2×#493C22semidirect
50. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#466C22semidirect
55. C2×#466C22semidirect
56. C2×#464C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
66. C2×#452C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#451C22semidirect
76. C2×#448C22semidirect
77. C2×#448C22semidirect
78. C2×#448C22semidirect
79. C2×#450C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#440C22semidirect
87. C2×C4×D8C22semidirect
88. C2×#436C22semidirect
89. C2×#435C22semidirect
91. C2×#417C22semidirect
92. C2×#416C22semidirect
93. C2×#416C22semidirect
94. C2×#407C22semidirect
95. C22×C22⋊C8C22semidirect
102. #2436C22semidirect
104. #2433C22semidirect
106. #2431C22semidirect
107. #2431C22semidirect
111. #2428C22semidirect
112. #2426C22semidirect
114. #2416C22semidirect
115. #2414C22semidirect
118. #2409C22semidirect
121. #2407C22semidirect
125. #2363C22semidirect
126. #2360C22semidirect
129. #2339C22semidirect
130. D4×C22⋊C4C22semidirect
133. #2067C22semidirect
134. #2067C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2042C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2035C22semidirect
143. #2035C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2015C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2014C22semidirect
151. #2014C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1972C22semidirect
167. #1970C22semidirect
168. #1969C22semidirect
169. #1968C22semidirect
170. #1954C22semidirect
171. #1935C22semidirect
172. #1933C22semidirect
173. #1928C22semidirect
174. #1928C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1894C22semidirect
180. #1893C22semidirect
181. #1893C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1878C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1875C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
200. #1850C22semidirect
201. #1788C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
367. #452D4semidirect
377. #449D4semidirect
725. C2×Q16C2×D4semidirect
751. C2×SD16C2×D4semidirect
752. C2×SD16C2×D4semidirect
828. C22⋊Q8C2×D4semidirect
862. #121C2×D4semidirect
994. #103C2×D4semidirect
995. #103C2×D4semidirect
1016. #102C2×D4semidirect
1026. C22⋊C8C2×D4semidirect
1027. 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×#32682
C2×#30062
C2×#30022
#590032
#362122
#310612
#305162
#304612
#304572
#257942
#257772
#257572
#251642
#251482
#251392
#251312
#251022
#250872
#244442
#244282
#243882
#243782
#243722
#243642
#238632
#238602
#238572
#228722
#228622
#228482