Finite Group Databasebeta

← #6994055

Subgroups — #6994055

Order 512.

2677 conjugacy classes of subgroups.

The subgroup lattice has 1763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3194C211yesmaximal, characteristic, complemented
3#59003C211yesmaximal, characteristic, complemented
4#39338C211yesmaximal, characteristic, complemented
5#31020C211yesmaximal, characteristic, complemented
6#30985C211yesmaximal, characteristic, complemented
7#30857C211yesmaximal, characteristic, complemented
8#30615C211yesmaximal, characteristic, complemented
9#30584C211yesmaximal, characteristic, complemented
10#30509C211yesmaximal, characteristic, complemented
11#30462C211yesmaximal, characteristic, complemented
12#30417C211yesmaximal, characteristic, complemented
13#28329C211yesmaximal, characteristic, complemented
14#26984C211yesmaximal, characteristic, complemented
15#26939C211yesmaximal, characteristic, complemented
16#26564C211yesmaximal, characteristic, complemented
17#25416C211yesmaximal, characteristic, complemented
18#25392C211yesmaximal, characteristic, complemented
19#25250C211yesmaximal, characteristic, complemented
20#25204C211yesmaximal, characteristic, complemented
21#24424C211yesmaximal, characteristic, complemented
22#24384C211yesmaximal, characteristic, complemented
23#24382C211yesmaximal, characteristic, complemented
24#24354C211yesmaximal, characteristic, complemented
25#24277C211yesmaximal, characteristic, complemented
26#24238C211yesmaximal, characteristic, complemented
27#24038C211yesmaximal, characteristic, complemented
28#23869C211yesmaximal, characteristic, complemented
29C2×#1999C211yesmaximal, characteristic, complemented
30#22874C211yesmaximal, characteristic, complemented
31#22848C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34C2×#550C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#534—21no—
38C2×#525C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic, complemented
41#3264—28no—
42#3194—28no—
43C2×#496C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#483C2211yescharacteristic, complemented
47C2×#480C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic
56C2×#465C2211yescharacteristic
57C2×#463C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#442C2211yescharacteristic, complemented
71C2×C4×SD16C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic
74C22×#102C2211yescharacteristic
75C22×#102C2211yescharacteristic, complemented
76C2×#407C2211yescharacteristic, complemented
77C22×C22⋊C8C2211yescharacteristic, complemented
78#2847C2211yescharacteristic
79#2682—21no—
80#2673—21no—
81#2671—21no—
82#2671—21no—
83#2668—21no—
84#2668—21no—
85#2613—21no—
86#2541C2211yescharacteristic, complemented
87#2537C2211yescharacteristic, complemented
88#2537C2211yescharacteristic, complemented
89#2501C2211yescharacteristic
90#2486C2211yescharacteristic
91#2456—21no—
92#2433—21no—
93#2433C2211yescharacteristic, complemented
94#2431C2211yescharacteristic, complemented
95#2428—21no—
96#2428C2211yescharacteristic, complemented
97#2428C2211yescharacteristic, complemented
98#2428C2211yescharacteristic, complemented
99#2426C2211yescharacteristic, complemented
100#2424—21no—
101#2422C2211yescharacteristic, complemented
102#2422C2211yescharacteristic, complemented
103#2416C2211yescharacteristic
104#2414C2211yescharacteristic, complemented
105#2412—21no—
106#2410—21no—
107#2408C2211yescharacteristic, complemented
108#2408C2211yescharacteristic, complemented
109#2407C2211yescharacteristic, complemented
110#2405—21no—
111#2363C2211yescharacteristic, complemented
112#2360C2211yescharacteristic, complemented
113#2358—21no—
114D4×C22⋊C4C2211yescharacteristic
115C4×#120C2211yescharacteristic
116#2093C2211yescharacteristic, complemented
117#2093C2211yescharacteristic, complemented
118#2087C2211yescharacteristic, complemented
119#2084C2211yescharacteristic, complemented
120#2076C2211yescharacteristic, complemented
121#2072C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1970C2211yescharacteristic, complemented
157#1970C2211yescharacteristic, complemented
158#1968C2211yescharacteristic, complemented
159#1957C2211yescharacteristic, complemented
160#1957C2211yescharacteristic, complemented
161#1954C2211yescharacteristic, complemented
162#1948C2211yescharacteristic, complemented
163#1944C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1926C2211yescharacteristic, complemented
167#1926C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1892C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1875C2211yescharacteristic, complemented
182#1874C2211yescharacteristic
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic
186#1864C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1853C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1850C2211yescharacteristic, complemented
194#1809C2211yescharacteristic, complemented
195#1803C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8—24no—
221C22×D8—42no—
222C22×D8—42no—
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C23×C8C2311yescharacteristic
236C23×C8C2311yescharacteristic
237#550—42no—
238#550—42no—
239#546—24no—
240#546—42no—
241D42—24no—
242D42—42no—
243#534—48no—
244C2×#127—21no—
245C2×#127—21no—
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#124C2311yescharacteristic
250#525—24no—
251#525—42no—
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×#123—21no—
257C2×#123—21no—
258C2×#123—21no—
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—24no—
276C2×#121—42no—
277C2×#121—42no—
278C2×#121—42no—
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120D411yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×C4×D4—21no—
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C22⋊C4—21no—
320C22×C22⋊C4—21no—
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323#496—24no—
324#483—24no—
325#482—24no—
326#482—24no—
327#480—24no—
328#469—24no—
329#469—24no—
330#469—24no—
331#469—42no—
332#469—42no—
333#468—24no—
334#468—24no—
335#466—42no—
336#465—24no—
337#463—24no—
338#459—24no—
339#459—42no—
340#459—42no—
341#450D418yescomplemented
342#449—24no—
343#449—24no—
344#449—24no—
345#449—42no—
346#447—24no—
347#447—24no—
348#447—24no—
349#447—42no—
350#442—24no—
351C4×SD16—42no—
352#436—42no—
353#435—24no—
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#102—42no—
371C2×#102—42no—
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399#407—24no—
400C2×C22⋊C8—42no—
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×#97C2311yescharacteristic
413C2×C4×C8C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415#399—21no—
416#399—21no—
417#398—21no—
418#397—21no—
419#397—21no—
420#397—21no—
421#396—21no—
422#396—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#391C2311yescharacteristic
452#390—21no—
453#390—21no—
454#390—21no—
455#390—21no—
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#389—21no—
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#389C2311yescharacteristic
468#388—21no—
469#388—21no—
470#388—21no—
471#387—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386D411yescharacteristic
486#386D411yescharacteristic
487#386D411yescharacteristic
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385D411yescharacteristic
493#385D411yescharacteristic
494#385D411yescharacteristic
495#384C2311yescharacteristic
496#384C2311yescharacteristic
497#381—21no—
498#380—21no—
499#380—21no—
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#379—21no—
507#379—21no—
508#379—21no—
509#379D411yescharacteristic
510C4×C4⋊C4C2311yescharacteristic
511C4×C22⋊C4—21no—
512C4×C22⋊C4—21no—
513C4×C22⋊C4C2311yescharacteristic
514C4×C22⋊C4C2311yescharacteristic
515C4×C22⋊C4C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25C2×D411yescharacteristic
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C22×Q8C2411yescharacteristic
551C22×D4—21no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—22no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—22no—
582C22×D4—22no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—82no—
601C22×D4—82no—
602C22×D4—82no—
603C22×D4—82no—
604C22×D4C2×D411yescharacteristic
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D414yes—
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4—41no—
627C23×C4—41no—
628C23×C4C2×D411yescharacteristic
629C23×C4C2×D411yescharacteristic
630C23×C4C2×D411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635AGL(1,ℤ/8)—416no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16C2×D414yescomplemented
644C2×SD16C2×D414yescomplemented
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—416no—
673C2×M16—22no—
674C2×M16—22no—
675C2×M16—22no—
676C2×M16—22no—
677C2×M16—41no—
678C2×M16—41no—
679C2×M16—41no—
680C2×M16—41no—
681C2×M16—41no—
682C22×C8—22no—
683C22×C8—22no—
684C22×C8—22no—
685C22×C8—41no—
686C22×C8—41no—
687C22×C8—41no—
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696#127—22no—
697#127—22no—
698#127—41no—
699#127—41no—
700#127—41no—
701#127—41no—
702#127—44no—
703#127—82no—
704#124—22no—
705#124—41no—
706#123—44no—
707#123—44no—
708#123—44no—
709#123—44no—
710#123—44no—
711#123—44no—
712#123—82no—
713C22⋊Q8—22no—
714C22⋊Q8—22no—
715C22⋊Q8—41no—
716C22⋊Q8C2×D414yes—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—22no—
729#121—22no—
730#121—22no—
731#121—22no—
732#121—22no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—44no—
737#121—44no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—41no—
746#121—41no—
747#121—41no—
748#121—41no—
749#121—41no—
750#121—44no—
751#121—44no—
752#121—44no—
753#121—44no—
754#121—44no—
755#121—44no—
756#121—44no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—82no—
762#121—82no—
763#120—24no—
764#120—44no—
765#120—44no—
766#120—44no—
767#120—44no—
768#120—44no—
769#120—44no—
770#120—44no—
771#120—44no—
772#120—82no—
773C4×Q8—22no—
774C4×Q8—41no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—22no—
778C4×D4—22no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—41no—
784C4×D4—41no—
785C4×D4—41no—
786C4×D4—41no—
787C4×D4—41no—
788C4×D4—41no—
789C4×D4—44no—
790C4×D4—44no—
791C4×D4—44no—
792#117—22no—
793#117—41no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—22no—
796C2×C4⋊C4—22no—
797C2×C4⋊C4—22no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—41no—
811C2×C4⋊C4C2×D411yescharacteristic
812C2×C4⋊C4C2×D411yescharacteristic
813C2×C4⋊C4C2×D411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2411yescharacteristic
822C2×C4⋊C4C2411yescharacteristic
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—44no—
869C2×C22⋊C4—44no—
870C2×C22⋊C4—44no—
871C2×C22⋊C4—44no—
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C42—21no—
885C2×C42—21no—
886C2×C42—21no—
887C2×C42C2411yescharacteristic
888C2×C42C2411yescharacteristic
889C2×C42C2411yescharacteristic
890#107—22no—
891#107—22no—
892#107—41no—
893#106—22no—
894#106—22no—
895#106—22no—
896#106—22no—
897#106—41no—
898C4⋊C8—22no—
899C4⋊C8—22no—
900C4⋊C8—41no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—41no—
905#103—41no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102C2×D414yescomplemented
932#102C2×D414yescomplemented
933C22⋊C8—22no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—41no—
940C22⋊C8—41no—
941C22⋊C8—41no—
942C22⋊C8—41no—
943C22⋊C8C2×D414yes—
944#97—22no—
945C4×C8—41no—
946C4×C8—41no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964#95C2×D411yescharacteristic
965#95C2×D411yescharacteristic
966C24—22no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—24no—
971C24—22no—
972C24—22no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—41no—
977C24—41no—
978C24—41no—
979C24—41no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24C22×D411yescharacteristic
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003C24C22×D411yescharacteristic
1004#41—44no—
1005#41—82no—
1006#41—82no—
1007#41—82no—
1008#41—82no—
1009#41—82no—
1010#41—82no—
1011#41—82no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8C22×D412yes—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—24no—
1022C2×D4—24no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—44no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—82no—
1109C2×D4—82no—
1110C2×D4—82no—
1111C2×D4—82no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—816no—
1154C2×D4—816no—
1155C2×D4—816no—
1156C2×D4C22×D412yes—
1157C2×D4C22×D412yes—
1158C2×D4H(5,𝔽2)12yes—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—22no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—82no—
1215C22×C4—82no—
1216C22×C4—82no—
1217C22×C4—82no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D412yes—
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4H(5,𝔽2)12yes—
1240C22×C4C2511yescharacteristic
1241SD16—44no—
1242SD16—44no—
1243SD16—44no—
1244D8—28no—
1245D8—44no—
1246D8—44no—
1247D8—44no—
1248D8—44no—
1249D8—82no—
1250D8—82no—
1251D8—82no—
1252D8—82no—
1253M16—44no—
1254M16—82no—
1255M16—82no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—44no—
1278C2×C8—82no—
1279C2×C8C22×D412yes—
1280C2×C8C22×D412yes—
1281C2×C8H(5,𝔽2)12yes—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—81no—
1311C4⋊C4—81no—
1312C4⋊C4—81no—
1313C4⋊C4—81no—
1314C4⋊C4C22×D412yes—
1315C4⋊C4H(5,𝔽2)12yes—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
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—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4AGL(1,ℤ/8)14yescomplemented
1373C42—21no—
1374C42—21no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—42no—
1380C42—42no—
1381C42—81no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—21no—
1396C23—21no—
1397C23—22no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—44no—
1411C23—44no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—44no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—48no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—82no—
1454C23—82no—
1455C23—82no—
1456C23—82no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—84no—
1464C23—84no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23D4212yes—
1478C23C2×AGL(1,ℤ/8)12yes—
1479C23#57612yes—
1480C23C23×D411yescharacteristic
1481Q8—22no—
1482Q8—22no—
1483Q8—41no—
1484Q8—41no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—22no—
1491D4—44no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—82no—
1511D4—82no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—84no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534D4—162no—
1535D4—162no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—82no—
1613C2×C4—82no—
1614C2×C4—82no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—84no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—162no—
1621C2×C4—162no—
1622C2×C4—162no—
1623C2×C4D4212yes—
1624C2×C4C2×AGL(1,ℤ/8)12yes—
1625C2×C4C2×AGL(1,ℤ/8)12yes—
1626C2×C4C23×D411yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C2×C4C2×H(5,𝔽2)11yescharacteristic
1630C2×C4C2×H(5,𝔽2)11yescharacteristic
1631C2×C4#58511yescharacteristic
1632C8—22no—
1633C8—22no—
1634C8—22no—
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C8—41no—
1639C8—41no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—41no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—42no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—88no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—168no—
1711C22—168no—
1712C22—168no—
1713C22#327414yes—
1714C22C2×D4211yescharacteristic
1715C22#348411yescharacteristic
1716C22#349611yescharacteristic
1717C22C22×AGL(1,ℤ/8)11yescharacteristic
1718C22C2×#57611yescharacteristic
1719C22#358411yescharacteristic
1720C22#358511yescharacteristic
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—42no—
1728C4—41no—
1729C4—42no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4—81no—
1739C4—81no—
1740C4—81no—
1741C4#348411yescharacteristic
1742C4#349611yescharacteristic
1743C4#353411yescharacteristic
1744C4#354311yescharacteristic
1745C2—24no—
1746C2—81no—
1747C2—81no—
1748C2—81no—
1749C2—82no—
1750C2—82no—
1751C2—82no—
1752C2—161no—
1753C2—161no—
1754C2—161no—
1755C2#4299611yescharacteristic
1756C2C2×#327411yescharacteristic
1757C2#6107411yescharacteristic
1758C2#6159811yescharacteristic
1759C2#6160911yescharacteristic
1760C2#6227811yescharacteristic
1761C2#6229911yescharacteristic
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×#3264C2semidirect
2. C2×#3194C2semidirect
3. #59003C2semidirect
4. #39338C2semidirect
5. #31020C2semidirect
6. #30985C2semidirect
7. #30857C2semidirect
8. #30615C2semidirect
9. #30584C2semidirect
10. #30509C2semidirect
11. #30462C2semidirect
12. #30417C2semidirect
13. #28329C2semidirect
14. #26984C2semidirect
15. #26939C2semidirect
16. #26564C2semidirect
17. #25416C2semidirect
18. #25392C2semidirect
19. #25250C2semidirect
20. #25204C2semidirect
21. #24424C2semidirect
22. #24384C2semidirect
23. #24382C2semidirect
24. #24354C2semidirect
25. #24277C2semidirect
26. #24238C2semidirect
27. #24038C2semidirect
28. #23869C2semidirect
29. C2×#1999C2semidirect
30. #22874C2semidirect
31. #22848C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
34. C2×#550C22semidirect
38. C2×#525C22semidirect
40. C22×#121C22semidirect
43. C2×#496C22semidirect
44. C2×#482C22semidirect
45. C2×#482C22semidirect
46. C2×#483C22semidirect
47. C2×#480C22semidirect
48. C2×#469C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
51. C2×#469C22semidirect
52. C2×#469C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
57. C2×#463C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#442C22semidirect
71. C2×C4×SD16C22semidirect
72. C2×#436C22semidirect
75. C22×#102C22semidirect
76. C2×#407C22semidirect
77. C22×C22⋊C8C22semidirect
86. #2541C22semidirect
87. #2537C22semidirect
88. #2537C22semidirect
93. #2433C22semidirect
94. #2431C22semidirect
96. #2428C22semidirect
97. #2428C22semidirect
98. #2428C22semidirect
99. #2426C22semidirect
101. #2422C22semidirect
102. #2422C22semidirect
104. #2414C22semidirect
107. #2408C22semidirect
108. #2408C22semidirect
109. #2407C22semidirect
111. #2363C22semidirect
112. #2360C22semidirect
116. #2093C22semidirect
117. #2093C22semidirect
118. #2087C22semidirect
119. #2084C22semidirect
120. #2076C22semidirect
121. #2072C22semidirect
122. #2065C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2042C22semidirect
128. #2042C22semidirect
129. #2041C22semidirect
130. #2036C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2033C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2011C22semidirect
143. #2000C22semidirect
148. #1999C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1970C22semidirect
157. #1970C22semidirect
158. #1968C22semidirect
159. #1957C22semidirect
160. #1957C22semidirect
161. #1954C22semidirect
162. #1948C22semidirect
163. #1944C22semidirect
164. #1936C22semidirect
165. #1934C22semidirect
166. #1926C22semidirect
167. #1926C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1892C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1877C22semidirect
181. #1875C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
186. #1864C22semidirect
187. #1864C22semidirect
188. #1864C22semidirect
189. #1862C22semidirect
190. #1854C22semidirect
191. #1853C22semidirect
192. #1851C22semidirect
193. #1850C22semidirect
194. #1809C22semidirect
195. #1803C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. C2×#340C22semidirect
341. #450D4semidirect
643. C2×SD16C2×D4semidirect
644. C2×SD16C2×D4semidirect
931. #102C2×D4semidirect
932. #102C2×D4semidirect
1372. C22⋊C4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#32642
C2×#31942
#590032
#393382
#310202
#309852
#308572
#306152
#305842
#305092
#304622
#304172
#283292
#269842
#269392
#265642
#254162
#253922
#252502
#252042
#244242
#243842
#243822
#243542
#242772
#242382
#240382
#238692
C2×#19992
#228742
#228482