Finite Group Databasebeta

← #7054535

Subgroups — #7054535

Order 512.

2675 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3217C211yesmaximal, characteristic, complemented
3#59046C211yesmaximal, characteristic, complemented
4#39336C211yesmaximal, characteristic, complemented
5#31216C211yesmaximal, characteristic, complemented
6#30890C211yesmaximal, characteristic, complemented
7#30857C211yesmaximal, characteristic, complemented
8#30763C211yesmaximal, characteristic, complemented
9#30752C211yesmaximal, characteristic, complemented
10#30539C211yesmaximal, characteristic, complemented
11#30462C211yesmaximal, characteristic, complemented
12#30444C211yesmaximal, characteristic, complemented
13#28916C211yesmaximal, characteristic, complemented
14#28470C211yesmaximal, characteristic, complemented
15#26843C211yesmaximal, characteristic, complemented
16#26601C211yesmaximal, characteristic, complemented
17#25794C211yesmaximal, characteristic, complemented
18#25779C211yesmaximal, characteristic, complemented
19#25500C211yesmaximal, characteristic, complemented
20#25364C211yesmaximal, characteristic, complemented
21#25159C211yesmaximal, characteristic, complemented
22#25124C211yesmaximal, characteristic, complemented
23#25080C211yesmaximal, characteristic, complemented
24#24506C211yesmaximal, characteristic, complemented
25#24424C211yesmaximal, characteristic, complemented
26#24370C211yesmaximal, characteristic, complemented
27#24354C211yesmaximal, characteristic, complemented
28#23851C211yesmaximal, characteristic, complemented
29C2×#2011C211yesmaximal, characteristic, complemented
30#22910C211yesmaximal, characteristic, complemented
31#22874C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34C23×D8C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#534—21no—
38C22×#127C2211yescharacteristic
39C2×#529C2211yescharacteristic, complemented
40#3264—28no—
41#3217—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#496C2211yescharacteristic, complemented
44C2×#496C2211yescharacteristic, complemented
45C2×#493C2211yescharacteristic, complemented
46C2×#493C2211yescharacteristic, complemented
47C2×#490C2211yescharacteristic, complemented
48C2×#490C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#466C2211yescharacteristic
52C2×#465C2211yescharacteristic
53C2×#460C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#459C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#442C2211yescharacteristic, complemented
73C2×C4×SD16C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic
75C2×#432C2211yescharacteristic, complemented
76C22×#102C2211yescharacteristic
77C22×#102C2211yescharacteristic, complemented
78#2854C2211yescharacteristic
79#2714—21no—
80#2705—21no—
81#2673—21no—
82#2673—21no—
83#2669—21no—
84#2669—21no—
85#2613—21no—
86#2548C2211yescharacteristic, complemented
87#2541C2211yescharacteristic, complemented
88#2541C2211yescharacteristic, complemented
89#2539—21no—
90#2490C2211yescharacteristic, complemented
91#2471—21no—
92#2454C2211yescharacteristic, complemented
93#2448C2211yescharacteristic, complemented
94#2445C2211yescharacteristic, complemented
95#2445C2211yescharacteristic, complemented
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic, complemented
98#2433C2211yescharacteristic, complemented
99#2433C2211yescharacteristic, complemented
100#2431C2211yescharacteristic, complemented
101#2428C2211yescharacteristic, complemented
102#2428C2211yescharacteristic, complemented
103#2428C2211yescharacteristic, complemented
104#2424—21no—
105#2416C2211yescharacteristic
106#2414—21no—
107#2412—21no—
108#2410—21no—
109#2408C2211yescharacteristic
110#2403—21no—
111#2366C2211yescharacteristic, complemented
112#2360C2211yescharacteristic, complemented
113#2358—21no—
114#2341C2211yescharacteristic, complemented
115D4×C22⋊C4C2211yescharacteristic
116C4×#123C2211yescharacteristic
117C2×#390C2211yescharacteristic, complemented
118#2065C2211yescharacteristic, complemented
119#2065C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2011C2211yescharacteristic
140#2011C2211yescharacteristic
141#2011C2211yescharacteristic
142#2011C2211yescharacteristic
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1982C2211yescharacteristic, complemented
159#1972C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1968C2211yescharacteristic, complemented
165#1939C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1936C2211yescharacteristic, complemented
169#1934C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1917C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1892C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1874C2211yescharacteristic
190#1869C2211yescharacteristic
191#1864C2211yescharacteristic, complemented
192#1864C2211yescharacteristic, complemented
193#1863C2211yescharacteristic, complemented
194#1862C2211yescharacteristic, complemented
195#1853C2211yescharacteristic, complemented
196#1851C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1770C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×D8—24no—
222C22×D8—42no—
223C22×D8—42no—
224C22×D8—42no—
225C22×D8—42no—
226C22×D8—42no—
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C23×C8C2311yescharacteristic
244C23×C8C2311yescharacteristic
245#546—24no—
246#546—42no—
247D42—24no—
248D42—42no—
249#534—48no—
250C2×#127—24no—
251C2×#127—21no—
252C2×#127—21no—
253C2×#127—42no—
254C2×#127C2311yescharacteristic
255C2×#127C2311yescharacteristic
256C2×#127C2311yescharacteristic
257C2×#127C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263#529—24no—
264#529—42no—
265C2×#126—21no—
266C2×#125C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×#123—21no—
274C2×#123D411yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#120—21no—
294C2×#120—21no—
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×#120—21no—
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
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×#117—21no—
316C22×C4⋊C4C2311yescharacteristic
317C22×C22⋊C4—21no—
318C22×C22⋊C4—21no—
319C22×C22⋊C4—21no—
320C22×C22⋊C4—21no—
321C22×C42C2311yescharacteristic
322#496—24no—
323#496—24no—
324#496—24no—
325#493—42no—
326#493—42no—
327#490—24no—
328#490—24no—
329#469—24no—
330#469—42no—
331#466—42no—
332#465—24no—
333#463—24no—
334#460—24no—
335#460—24no—
336#460—42no—
337#459—24no—
338#459—24no—
339#459—24no—
340#459—42no—
341#459—42no—
342#450—24no—
343#450D418yescomplemented
344#449—24no—
345#449—42no—
346#449—42no—
347#447—24no—
348#447—24no—
349#447—24no—
350#447—24no—
351#447—42no—
352#442—24no—
353C4×SD16—42no—
354#435—24no—
355#432—24no—
356C2×#107C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#102—42no—
369C2×#102—42no—
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
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
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×#97C2311yescharacteristic
405C2×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#399—21no—
410#399—21no—
411#397—21no—
412#397—21no—
413#396—21no—
414#396—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#391C2311yescharacteristic
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390—21no—
453#390—21no—
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#389—21no—
470#389C2311yescharacteristic
471#389C2311yescharacteristic
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388D411yescharacteristic
480#388D411yescharacteristic
481#387—21no—
482#387D411yescharacteristic
483#387D411yescharacteristic
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386D411yescharacteristic
498#385—21no—
499#385—21no—
500#385D411yescharacteristic
501#381D411yescharacteristic
502#380—21no—
503#380—21no—
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#379—21no—
507#379—21no—
508C4×C4⋊C4C2311yescharacteristic
509C4×C4⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25—21no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C22×Q8C2411yescharacteristic
545C22×D4—22no—
546C22×D4—22no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—22no—
557C22×D4—22no—
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—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—41no—
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—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4—82no—
606C22×D4—82no—
607C22×D4C2×D411yescharacteristic
608C22×D4C2×D414yes—
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4C2×D411yescharacteristic
625C23×C4C2×D411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628AGL(1,ℤ/8)—416no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16C2×D414yes—
643C2×SD16C2×D414yes—
644C2×D8—22no—
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—22no—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—22no—
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—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—416no—
690C2×D8—416no—
691C2×M16—22no—
692C2×M16—22no—
693C2×M16—41no—
694C22×C8—22no—
695C22×C8—22no—
696C22×C8—22no—
697C22×C8—22no—
698C22×C8—41no—
699C22×C8—41no—
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708#127—22no—
709#127—22no—
710#127—22no—
711#127—22no—
712#127—22no—
713#127—22no—
714#127—41no—
715#127—41no—
716#127—41no—
717#127—41no—
718#127—41no—
719#127—41no—
720#127—41no—
721#127—41no—
722#127—41no—
723#127—41no—
724#127—41no—
725#127—41no—
726#127—44no—
727#127—44no—
728#126—44no—
729#125—22no—
730#125—41no—
731#124—22no—
732#124—22no—
733#124—41no—
734#124—41no—
735#123—24no—
736#123—44no—
737#123—44no—
738#123—44no—
739#123—44no—
740#123—44no—
741C22⋊Q8—22no—
742C22⋊Q8C2×D414yes—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—44no—
750#121—44no—
751#121—44no—
752#121—41no—
753#121—41no—
754#121—44no—
755#121—44no—
756#121—44no—
757#121—41no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—41no—
763#121—82no—
764#121—82no—
765#121—82no—
766#121—82no—
767#120—44no—
768#120—44no—
769#120—44no—
770#120—44no—
771#120—44no—
772#120—44no—
773#120—44no—
774#120—44no—
775#120—82no—
776#120—82no—
777#120—82no—
778#120—82no—
779C4×Q8—22no—
780C4×Q8—41no—
781C4×Q8—41no—
782C4×Q8—41no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—41no—
789C4×D4—41no—
790C4×D4—41no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—44no—
796C4×D4—82no—
797#117—44no—
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—41no—
809C2×C4⋊C4—41no—
810C2×C4⋊C4C2×D411yescharacteristic
811C2×C4⋊C4C2×D411yescharacteristic
812C2×C4⋊C4C2×D411yescharacteristic
813C2×C4⋊C4C2×D411yescharacteristic
814C2×C4⋊C4C2×D411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2411yescharacteristic
822C2×C22⋊C4—21no—
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—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—44no—
872C2×C22⋊C4—44no—
873C2×C22⋊C4—82no—
874C2×C22⋊C4—82no—
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×C42—22no—
884C2×C42—22no—
885C2×C42—21no—
886C2×C42—21no—
887C2×C42—21no—
888C2×C42C2×D411yescharacteristic
889C2×C42C2×D411yescharacteristic
890C2×C42C2411yescharacteristic
891C2×C42C2411yescharacteristic
892C2×C42C2411yescharacteristic
893C2×C42C2411yescharacteristic
894C2×C42C2411yescharacteristic
895#107—41no—
896#106—22no—
897#106—41no—
898#106—41no—
899C4⋊C8—22no—
900C4⋊C8—22no—
901C4⋊C8—22no—
902C4⋊C8—22no—
903C4⋊C8—41no—
904#103—22no—
905#103—22no—
906#103—41no—
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—22no—
919#102—22no—
920#102—22no—
921#102—22no—
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#102—41no—
932#102—41no—
933#102—41no—
934#102C2×D414yes—
935#102C2×D414yes—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—41no—
940C22⋊C8C2×D414yes—
941#97—22no—
942#97—22no—
943#97—22no—
944C4×C8—22no—
945C4×C8—41no—
946#95—21no—
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#95C2×D411yescharacteristic
956#95C2×D411yescharacteristic
957#95C2×D411yescharacteristic
958#95C2×D411yescharacteristic
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964#95C2×D411yescharacteristic
965C24—21no—
966C24—21no—
967C24—21no—
968C24—24no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003#41—44no—
1004#41—82no—
1005#41—82no—
1006#41—82no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8C22×D412yes—
1013C2×D4—22no—
1014C2×D4—22no—
1015C2×D4—22no—
1016C2×D4—24no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
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—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
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—42no—
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—44no—
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—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—82no—
1112C2×D4—82no—
1113C2×D4—82no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
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—81no—
1129C2×D4—81no—
1130C2×D4—81no—
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—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—816no—
1159C2×D4—816no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—816no—
1170C2×D4C22×D412yes—
1171C2×D4C22×D412yes—
1172C2×D4H(5,𝔽2)12yes—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—22no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—41no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D412yes—
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4H(5,𝔽2)12yes—
1232C22×C4C2511yescharacteristic
1233SD16—44no—
1234SD16—44no—
1235SD16—44no—
1236SD16—82no—
1237SD16—82no—
1238D8—28no—
1239D8—44no—
1240D8—44no—
1241D8—44no—
1242D8—44no—
1243D8—44no—
1244D8—44no—
1245D8—44no—
1246D8—44no—
1247D8—82no—
1248D8—82no—
1249D8—82no—
1250D8—82no—
1251D8—82no—
1252D8—82no—
1253M16—44no—
1254C2×C8—21no—
1255C2×C8—21no—
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—44no—
1275C2×C8—44no—
1276C2×C8C22×D412yes—
1277C2×C8C22×D412yes—
1278C2×C8H(5,𝔽2)12yes—
1279C2×C8H(5,𝔽2)12yes—
1280C4⋊C4—24no—
1281C4⋊C4—22no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
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—41no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—81no—
1305C4⋊C4—81no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C4⋊C4C22×D412yes—
1309C22⋊C4—24no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—22no—
1316C22⋊C4—41no—
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—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4AGL(1,ℤ/8)14yescomplemented
1366C42—22no—
1367C42—22no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—21no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—42no—
1379C42—81no—
1380C42—81no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—21no—
1390C23—22no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—48no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
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—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—84no—
1459C23—84no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23D4212yes—
1477C23C2×AGL(1,ℤ/8)12yes—
1478C23#57612yes—
1479C23C23×D411yescharacteristic
1480Q8—22no—
1481Q8—22no—
1482Q8—41no—
1483Q8—41no—
1484D4—22no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—44no—
1491D4—41no—
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—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
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—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—162no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—44no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—44no—
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—41no—
1613C2×C4—84no—
1614C2×C4—84no—
1615C2×C4—84no—
1616C2×C4—162no—
1617C2×C4—162no—
1618C2×C4—162no—
1619C2×C4—162no—
1620C2×C4D4212yes—
1621C2×C4C2×AGL(1,ℤ/8)12yes—
1622C2×C4C2×AGL(1,ℤ/8)12yes—
1623C2×C4#57612yes—
1624C2×C4C23×D411yescharacteristic
1625C2×C4C2×H(5,𝔽2)11yescharacteristic
1626C2×C4C2×H(5,𝔽2)11yescharacteristic
1627C2×C4C2×H(5,𝔽2)11yescharacteristic
1628C2×C4C2×H(5,𝔽2)11yescharacteristic
1629C2×C4#58511yescharacteristic
1630C8—22no—
1631C8—22no—
1632C8—22no—
1633C8—22no—
1634C8—41no—
1635C8—41no—
1636C8—41no—
1637C8—41no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
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—168no—
1708C22—168no—
1709C22—168no—
1710C22—168no—
1711C22#327414yes—
1712C22C2×D4211yescharacteristic
1713C22#348811yescharacteristic
1714C22#349811yescharacteristic
1715C22C22×AGL(1,ℤ/8)11yescharacteristic
1716C22C2×#57611yescharacteristic
1717C22C2×#57611yescharacteristic
1718C22#358511yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—41no—
1733C4—81no—
1734C4—81no—
1735C4—81no—
1736C4—81no—
1737C4—81no—
1738C4—81no—
1739C4#348411yescharacteristic
1740C4#349611yescharacteristic
1741C4#353211yescharacteristic
1742C4#354211yescharacteristic
1743C2—24no—
1744C2—81no—
1745C2—82no—
1746C2—82no—
1747C2—82no—
1748C2—161no—
1749C2—161no—
1750C2—161no—
1751C2—161no—
1752C2—161no—
1753C2#4388611yescharacteristic
1754C2C2×#327411yescharacteristic
1755C2#6107211yescharacteristic
1756C2#6197911yescharacteristic
1757C2#6200711yescharacteristic
1758C2#6243111yescharacteristic
1759C2#6244711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ 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×#3217C2semidirect
3. #59046C2semidirect
4. #39336C2semidirect
5. #31216C2semidirect
6. #30890C2semidirect
7. #30857C2semidirect
8. #30763C2semidirect
9. #30752C2semidirect
10. #30539C2semidirect
11. #30462C2semidirect
12. #30444C2semidirect
13. #28916C2semidirect
14. #28470C2semidirect
15. #26843C2semidirect
16. #26601C2semidirect
17. #25794C2semidirect
18. #25779C2semidirect
19. #25500C2semidirect
20. #25364C2semidirect
21. #25159C2semidirect
22. #25124C2semidirect
23. #25080C2semidirect
24. #24506C2semidirect
25. #24424C2semidirect
26. #24370C2semidirect
27. #24354C2semidirect
28. #23851C2semidirect
29. C2×#2011C2semidirect
30. #22910C2semidirect
31. #22874C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
34. C23×D8C22semidirect
39. C2×#529C22semidirect
42. C2×#496C22semidirect
43. C2×#496C22semidirect
44. C2×#496C22semidirect
45. C2×#493C22semidirect
46. C2×#493C22semidirect
47. C2×#490C22semidirect
48. C2×#490C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
53. C2×#460C22semidirect
54. C2×#460C22semidirect
55. C2×#460C22semidirect
56. C2×#463C22semidirect
57. C2×#459C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
61. C2×#459C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
66. C2×#450C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#442C22semidirect
73. C2×C4×SD16C22semidirect
75. C2×#432C22semidirect
77. C22×#102C22semidirect
86. #2548C22semidirect
87. #2541C22semidirect
88. #2541C22semidirect
90. #2490C22semidirect
92. #2454C22semidirect
93. #2448C22semidirect
94. #2445C22semidirect
95. #2445C22semidirect
97. #2433C22semidirect
98. #2433C22semidirect
99. #2433C22semidirect
100. #2431C22semidirect
101. #2428C22semidirect
102. #2428C22semidirect
103. #2428C22semidirect
111. #2366C22semidirect
112. #2360C22semidirect
114. #2341C22semidirect
117. C2×#390C22semidirect
118. #2065C22semidirect
119. #2065C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2042C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2034C22semidirect
133. #2033C22semidirect
134. #2025C22semidirect
135. #2014C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2012C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1982C22semidirect
159. #1972C22semidirect
160. #1972C22semidirect
161. #1972C22semidirect
162. #1970C22semidirect
163. #1970C22semidirect
164. #1968C22semidirect
165. #1939C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1936C22semidirect
169. #1934C22semidirect
170. #1926C22semidirect
171. #1926C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1917C22semidirect
175. #1917C22semidirect
176. #1895C22semidirect
177. #1893C22semidirect
178. #1892C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1877C22semidirect
191. #1864C22semidirect
192. #1864C22semidirect
193. #1863C22semidirect
194. #1862C22semidirect
195. #1853C22semidirect
196. #1851C22semidirect
197. #1850C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1770C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. C2×#336C22semidirect
343. #450D4semidirect
1365. 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×#32172
#590462
#393362
#312162
#308902
#308572
#307632
#307522
#305392
#304622
#304442
#289162
#284702
#268432
#266012
#257942
#257792
#255002
#253642
#251592
#251242
#250802
#245062
#244242
#243702
#243542
#238512
C2×#20112
#229102
#228742