Finite Group Databasebeta

← #7522306

Subgroups — #7522306

Order 512.

2866 conjugacy classes of subgroups.

The subgroup lattice has 1755 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic, complemented
2C22×#459C211yesmaximal, characteristic, complemented
3#59126C211yesmaximal, characteristic, complemented
4#36440C211yesmaximal, characteristic, complemented
5#31000C211yesmaximal, characteristic, complemented
6#30984C211yesmaximal, characteristic, complemented
7#30609C211yesmaximal, characteristic, complemented
8#30593C211yesmaximal, characteristic, complemented
9#28421C211yesmaximal, characteristic, complemented
10#26943C211yesmaximal, characteristic, complemented
11#26939C211yesmaximal, characteristic, complemented
12#25860C211yesmaximal, characteristic, complemented
13#25581C211yesmaximal, characteristic, complemented
14#25396C211yesmaximal, characteristic, complemented
15#25330C211yesmaximal, characteristic, complemented
16#25097C211yesmaximal, characteristic, complemented
17#25076C211yesmaximal, characteristic, complemented
18#24869C211yesmaximal, characteristic, complemented
19#24865C211yesmaximal, characteristic, complemented
20#24839C211yesmaximal, characteristic, complemented
21#24642C211yesmaximal, characteristic, complemented
22#24272C211yesmaximal, characteristic, complemented
23#24267C211yesmaximal, characteristic, complemented
24#24248C211yesmaximal, characteristic, complemented
25#23848C211yesmaximal, characteristic, complemented
26#23848C211yesmaximal, characteristic, complemented
27#23108C211yesmaximal, characteristic, complemented
28#22987C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30D4×#102C211yesmaximal, characteristic, complemented
31#21452C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic, complemented
34C2×#553C2211yescharacteristic, complemented
35C2×D42—21no—
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic, complemented
39C22×#127C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic, complemented
41#3318—28no—
42C2×#490C2211yescharacteristic, complemented
43C2×#490C2211yescharacteristic, complemented
44C2×#481C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#478C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic, complemented
50C2×#466C2211yescharacteristic, complemented
51C2×#459—28no—
52C2×#459C2211yescharacteristic
53C2×#459C2211yescharacteristic
54C2×#459C2211yescharacteristic, complemented
55C2×#459C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#447C2211yescharacteristic
61C2×#447C2211yescharacteristic, complemented
62C2×#447C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#442C2211yescharacteristic, complemented
66C2×#442C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×C8×D4C2211yescharacteristic, complemented
70C22×C4⋊C8C2211yescharacteristic, complemented
71C2×#418C2211yescharacteristic, complemented
72C22×#102C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75#2851C2211yescharacteristic, complemented
76#2849—21no—
77#2669—21no—
78#2669—21no—
79#2602—21no—
80#2600—21no—
81#2566C2211yescharacteristic, complemented
82#2541C2211yescharacteristic, complemented
83#2541C2211yescharacteristic, complemented
84#2535C2211yescharacteristic, complemented
85#2480—21no—
86#2466—21no—
87#2456—21no—
88#2433—21no—
89#2433C2211yescharacteristic, complemented
90#2433C2211yescharacteristic, complemented
91#2428—21no—
92#2428C2211yescharacteristic, complemented
93#2428C2211yescharacteristic, complemented
94#2424—21no—
95#2422C2211yescharacteristic, complemented
96#2420C2211yescharacteristic, complemented
97#2408—21no—
98#2408C2211yescharacteristic
99#2408C2211yescharacteristic
100#2408C2211yescharacteristic, complemented
101#2408C2211yescharacteristic, complemented
102#2403—21no—
103#2403—21no—
104#2366C2211yescharacteristic, complemented
105#2363C2211yescharacteristic, complemented
106#2361C2211yescharacteristic, complemented
107#2357C2211yescharacteristic, complemented
108#2352C2211yescharacteristic, complemented
109D4×C4⋊C4C2211yescharacteristic, complemented
110C4×#121C2211yescharacteristic
111C4×#121C2211yescharacteristic
112C4×#120—21no—
113#2094C2211yescharacteristic, complemented
114#2092C2211yescharacteristic, complemented
115#2088C2211yescharacteristic, complemented
116#2087C2211yescharacteristic, complemented
117#2073C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2054C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2011C2211yescharacteristic, complemented
134#2011C2211yescharacteristic, complemented
135#2011C2211yescharacteristic, complemented
136#2011C2211yescharacteristic, complemented
137#1999C2211yescharacteristic, complemented
138#1999C2211yescharacteristic, complemented
139#1999C2211yescharacteristic, complemented
140#1999C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1989C2211yescharacteristic, complemented
146#1982C2211yescharacteristic, complemented
147#1982C2211yescharacteristic, complemented
148#1972C2211yescharacteristic, complemented
149#1972C2211yescharacteristic, complemented
150#1970C2211yescharacteristic, complemented
151#1970C2211yescharacteristic, complemented
152#1961C2211yescharacteristic, complemented
153#1961C2211yescharacteristic, complemented
154#1961C2211yescharacteristic, complemented
155#1957C2211yescharacteristic, complemented
156#1955C2211yescharacteristic, complemented
157#1949C2211yescharacteristic, complemented
158#1940C2211yescharacteristic, complemented
159#1926C2211yescharacteristic, complemented
160#1926C2211yescharacteristic, complemented
161#1926C2211yescharacteristic, complemented
162#1925C2211yescharacteristic, complemented
163#1924C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1893C2211yescharacteristic
167#1893C2211yescharacteristic
168#1893C2211yescharacteristic, complemented
169#1879C2211yescharacteristic, complemented
170#1879C2211yescharacteristic, complemented
171#1879C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1869C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1864C2211yescharacteristic, complemented
183#1864C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1851C2211yescharacteristic, complemented
186#1850C2211yescharacteristic, complemented
187#1808C2211yescharacteristic, complemented
188#1807C2211yescharacteristic, complemented
189#1804C2211yescharacteristic, complemented
190#1804C2211yescharacteristic, complemented
191#1802C2211yescharacteristic, complemented
192#1786C2211yescharacteristic, complemented
193#1786C2211yescharacteristic, complemented
194#1786C2211yescharacteristic, complemented
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1771C2211yescharacteristic, complemented
200#1762C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4—21no—
216C22×D8—24no—
217C22×D8—24no—
218C22×D8—42no—
219C22×D8—42no—
220C22×D8—42no—
221C22×D8—42no—
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#553—24no—
237#553—42no—
238D42—24no—
239D42—24no—
240D42—24no—
241D42—42no—
242D42—42no—
243D42—42no—
244D42—48no—
245C2×#127—24no—
246C2×#127—21no—
247C2×#127—21no—
248C2×#127—21no—
249C2×#127—42no—
250C2×#127C2311yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#127C2311yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#127C2311yescharacteristic
256C2×#126—21no—
257C2×#125C2311yescharacteristic
258C2×#123—21no—
259C2×#123—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121D411yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4—24no—
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4—42no—
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×#117C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C22⋊C4—21no—
317C22×C42C2311yescharacteristic
318#490—24no—
319#490—42no—
320#482—24no—
321#481—24no—
322#478—24no—
323#469—24no—
324#469—42no—
325#466—24no—
326#466—42no—
327#459—24no—
328#459—24no—
329#459—24no—
330#459—24no—
331#459—24no—
332#459—24no—
333#459—24no—
334#459D418yescomplemented
335#447—24no—
336#447—24no—
337#447—24no—
338#447—42no—
339#447—42no—
340#442—24no—
341#442—42no—
342#435—24no—
343#435—42no—
344C8×D4—42no—
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×C4⋊C8—24no—
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358#418—24no—
359C2×#102—24no—
360C2×#102—24no—
361C2×#102—24no—
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×#97C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410#397—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#392—21no—
424#392—21no—
425#392—21no—
426#392—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#390—21no—
439#390—21no—
440#390—21no—
441#390D411yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#389—21no—
452#389D411yescharacteristic
453#389C2311yescharacteristic
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388D411yescharacteristic
463#388D411yescharacteristic
464#387—21no—
465#387—21no—
466#387—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386D411yescharacteristic
479#386D411yescharacteristic
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#384C2311yescharacteristic
489#382C2311yescharacteristic
490#382C2311yescharacteristic
491#381—21no—
492#381—21no—
493#380D411yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#379—21no—
500#379—21no—
501#379—21no—
502#379—21no—
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C4⋊C4C2311yescharacteristic
507C4×C22⋊C4—21no—
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4C2311yescharacteristic
512C4×C22⋊C4C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531C25—21no—
532C25—21no—
533C25—21no—
534C25—21no—
535C25—21no—
536C22×D4—22no—
537C22×D4—22no—
538C22×D4—21no—
539C22×D4—22no—
540C22×D4—22no—
541C22×D4—22no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—21no—
546C22×D4—21no—
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—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—22no—
574C22×D4—22no—
575C22×D4—22no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
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—44no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
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×D4—82no—
608C22×D4—82no—
609C22×D4C2×D411yescharacteristic
610C22×D4C2×D411yescharacteristic
611C22×D4C2×D411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C22×D4C2411yescharacteristic
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—44no—
629C23×C4—82no—
630C23×C4—82no—
631C23×C4C2×D411yescharacteristic
632C23×C4C2×D411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C2×D8—22no—
637C2×D8—22no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—416no—
665C2×D8—416no—
666C2×D8C2×D414yescomplemented
667C2×D8C2×D414yescomplemented
668C2×M16—22no—
669C2×M16—41no—
670C2×M16—41no—
671C22×C8—22no—
672C22×C8—22no—
673C22×C8—22no—
674C22×C8—22no—
675C22×C8—22no—
676C22×C8—41no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688#127—22no—
689#127—22no—
690#127—22no—
691#127—22no—
692#127—22no—
693#127—22no—
694#127—22no—
695#127—41no—
696#127—41no—
697#127—41no—
698#127—41no—
699#127—44no—
700#127—44no—
701#127—44no—
702#127C2×D414yes—
703#126—44no—
704#125—22no—
705#125—22no—
706#123—44no—
707#123—82no—
708#121—24no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—22no—
718#121—44no—
719#121—44no—
720#121—44no—
721#121—44no—
722#121—44no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—44no—
732#121—44no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—82no—
738#121#4114yes—
739#120—44no—
740#120—44no—
741#120—44no—
742#120—44no—
743#120—44no—
744#120—44no—
745#120—44no—
746#120—44no—
747#120—44no—
748#120—44no—
749#120—44no—
750#120—82no—
751#120—82no—
752#120—82no—
753C4×D4—22no—
754C4×D4—22no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—22no—
758C4×D4—22no—
759C4×D4—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—44no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—44no—
774C4×D4—44no—
775C4×D4—44no—
776C4×D4—44no—
777C4×D4—82no—
778C4×D4—82no—
779C4×D4C2×D414yescomplemented
780#117—22no—
781#117—41no—
782C2×C4⋊C4—22no—
783C2×C4⋊C4—22no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—41no—
794C2×C4⋊C4—41no—
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2×D411yescharacteristic
797C2×C4⋊C4C2×D411yescharacteristic
798C2×C4⋊C4C2×D411yescharacteristic
799C2×C4⋊C4C2×D411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
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—44no—
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C22⋊C4C2×D411yescharacteristic
859C2×C22⋊C4C2×D411yescharacteristic
860C2×C22⋊C4C2×D411yescharacteristic
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C42—22no—
863C2×C42—22no—
864C2×C42—21no—
865C2×C42—21no—
866C2×C42—21no—
867C2×C42—21no—
868C2×C42C2×D411yescharacteristic
869C2×C42C2×D411yescharacteristic
870C2×C42C2411yescharacteristic
871C2×C42C2411yescharacteristic
872C2×C42C2411yescharacteristic
873C2×C42C2411yescharacteristic
874#107—22no—
875#107—41no—
876#106—22no—
877#106—22no—
878#106—41no—
879#106—41no—
880C4⋊C8—22no—
881C4⋊C8—22no—
882C4⋊C8—22no—
883C4⋊C8—41no—
884C4⋊C8—41no—
885C4⋊C8C2×D414yescomplemented
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102—41no—
915#102—41no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102C2×D414yescomplemented
921#102C2×D414yescomplemented
922C22⋊C8—22no—
923C22⋊C8—22no—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—41no—
927C22⋊C8—41no—
928C22⋊C8—41no—
929C22⋊C8—41no—
930#97—22no—
931#97—22no—
932#97—41no—
933C4×C8—41no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95C2×D411yescharacteristic
950#95C2×D411yescharacteristic
951#95C2×D411yescharacteristic
952#95C2×D411yescharacteristic
953#95C2×D411yescharacteristic
954#95C2×D411yescharacteristic
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000C2×D4—22no—
1001C2×D4—22no—
1002C2×D4—28no—
1003C2×D4—22no—
1004C2×D4—24no—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—22no—
1008C2×D4—22no—
1009C2×D4—24no—
1010C2×D4—24no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
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—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—41no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—44no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
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—42no—
1080C2×D4—42no—
1081C2×D4—44no—
1082C2×D4—44no—
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—82no—
1108C2×D4—82no—
1109C2×D4—82no—
1110C2×D4—82no—
1111C2×D4—81no—
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—816no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—816no—
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—816no—
1152C2×D4—816no—
1153C2×D4—816no—
1154C2×D4AGL(1,ℤ/8)14yes—
1155C2×D4C22×D412yes—
1156C2×D4C22×D412yes—
1157C2×D4C22×D412yes—
1158C2×D4C2×#4112yes—
1159C2×D4H(5,𝔽2)12yes—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—22no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—22no—
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—24no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—41no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
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—816no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
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×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C2×#4112yes—
1231C22×C4H(5,𝔽2)12yes—
1232C22×C4C2511yescharacteristic
1233D8—44no—
1234D8—44no—
1235D8—44no—
1236D8—44no—
1237D8—44no—
1238D8—44no—
1239D8—44no—
1240D8—44no—
1241D8—44no—
1242D8—44no—
1243M16—82no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
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—44no—
1267C2×C8—44no—
1268C2×C8—82no—
1269C2×C8C22×D412yes—
1270C2×C8C22×D412yes—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—81no—
1299C4⋊C4—81no—
1300C4⋊C4—81no—
1301C4⋊C4C22×D412yes—
1302C4⋊C4C2×#4112yes—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—24no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—24no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
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—
1355C42—22no—
1356C42—22no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—42no—
1364C42—42no—
1365C42—81no—
1366C42—81no—
1367C42C22×D412yes—
1368C42H(5,𝔽2)12yes—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—22no—
1381C23—21no—
1382C23—22no—
1383C23—22no—
1384C23—21no—
1385C23—22no—
1386C23—22no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—48no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
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—41no—
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—84no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23—162no—
1470C23#54612yes—
1471C23C2×AGL(1,ℤ/8)12yes—
1472C23C2×AGL(1,ℤ/8)12yes—
1473C23#57612yes—
1474C23C23×D411yescharacteristic
1475D4—28no—
1476D4—22no—
1477D4—22no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—44no—
1487D4—48no—
1488D4—48no—
1489D4—44no—
1490D4—48no—
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—84no—
1510D4—84no—
1511D4—84no—
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—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534C2×C4—28no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
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—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—44no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
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—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—162no—
1612C2×C4D4212yes—
1613C2×C4D4212yes—
1614C2×C4#54612yes—
1615C2×C4C2×AGL(1,ℤ/8)12yes—
1616C2×C4#57612yes—
1617C2×C4C23×D411yescharacteristic
1618C2×C4C22×#4111yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C2×C4#58511yescharacteristic
1623C8—22no—
1624C8—22no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C8—41no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—42no—
1666C22—816no—
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—168no—
1702C22—168no—
1703C22—168no—
1704C22—168no—
1705C22#331814yescomplemented
1706C22C2×D4211yescharacteristic
1707C22C2×#54611yescharacteristic
1708C22#348811yescharacteristic
1709C22C22×AGL(1,ℤ/8)11yescharacteristic
1710C22C2×#57611yescharacteristic
1711C22C2×#57611yescharacteristic
1712C22#358511yescharacteristic
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—81no—
1727C4—81no—
1728C4—81no—
1729C4—81no—
1730C4—81no—
1731C4—81no—
1732C4—81no—
1733C4D4×#4111yescharacteristic
1734C4#348411yescharacteristic
1735C4#351911yescharacteristic
1736C4#354211yescharacteristic
1737C2—24no—
1738C2—42no—
1739C2—81no—
1740C2—82no—
1741C2—82no—
1742C2—82no—
1743C2—82no—
1744C2—82no—
1745C2—161no—
1746C2—161no—
1747C2#5900411yescharacteristic
1748C2#6104911yescharacteristic
1749C2D4×AGL(1,ℤ/8)11yescharacteristic
1750C2C2×#331811yescharacteristic
1751C2#6120511yescharacteristic
1752C2#6197911yescharacteristic
1753C2#6200711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3318C2semidirect
2. C22×#459C2semidirect
3. #59126C2semidirect
4. #36440C2semidirect
5. #31000C2semidirect
6. #30984C2semidirect
7. #30609C2semidirect
8. #30593C2semidirect
9. #28421C2semidirect
10. #26943C2semidirect
11. #26939C2semidirect
12. #25860C2semidirect
13. #25581C2semidirect
14. #25396C2semidirect
15. #25330C2semidirect
16. #25097C2semidirect
17. #25076C2semidirect
18. #24869C2semidirect
19. #24865C2semidirect
20. #24839C2semidirect
21. #24642C2semidirect
22. #24272C2semidirect
23. #24267C2semidirect
24. #24248C2semidirect
25. #23848C2semidirect
26. #23848C2semidirect
27. #23108C2semidirect
28. #22987C2semidirect
29. #22423C2semidirect
30. D4×#102C2semidirect
31. #21452C2semidirect
32. C23×D8C22semidirect
33. C23×D8C22semidirect
34. C2×#553C22semidirect
38. C2×D42C22semidirect
40. C22×C4×D4C22semidirect
42. C2×#490C22semidirect
43. C2×#490C22semidirect
44. C2×#481C22semidirect
45. C2×#482C22semidirect
46. C2×#478C22semidirect
47. C2×#469C22semidirect
48. C2×#469C22semidirect
49. C2×#466C22semidirect
50. C2×#466C22semidirect
54. C2×#459C22semidirect
55. C2×#459C22semidirect
56. C2×#459C22semidirect
57. C2×#459C22semidirect
58. C2×#459C22semidirect
59. C2×#459C22semidirect
61. C2×#447C22semidirect
62. C2×#447C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
65. C2×#442C22semidirect
66. C2×#442C22semidirect
67. C2×#435C22semidirect
68. C2×#435C22semidirect
69. C2×C8×D4C22semidirect
70. C22×C4⋊C8C22semidirect
71. C2×#418C22semidirect
72. C22×#102C22semidirect
73. C22×#102C22semidirect
74. C22×#102C22semidirect
75. #2851C22semidirect
81. #2566C22semidirect
82. #2541C22semidirect
83. #2541C22semidirect
84. #2535C22semidirect
89. #2433C22semidirect
90. #2433C22semidirect
92. #2428C22semidirect
93. #2428C22semidirect
95. #2422C22semidirect
96. #2420C22semidirect
100. #2408C22semidirect
101. #2408C22semidirect
104. #2366C22semidirect
105. #2363C22semidirect
106. #2361C22semidirect
107. #2357C22semidirect
108. #2352C22semidirect
109. D4×C4⋊C4C22semidirect
113. #2094C22semidirect
114. #2092C22semidirect
115. #2088C22semidirect
116. #2087C22semidirect
117. #2073C22semidirect
118. #2071C22semidirect
119. #2067C22semidirect
120. #2065C22semidirect
121. #2054C22semidirect
122. #2054C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2041C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2033C22semidirect
133. #2011C22semidirect
134. #2011C22semidirect
135. #2011C22semidirect
136. #2011C22semidirect
137. #1999C22semidirect
138. #1999C22semidirect
139. #1999C22semidirect
140. #1999C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
145. #1989C22semidirect
146. #1982C22semidirect
147. #1982C22semidirect
148. #1972C22semidirect
149. #1972C22semidirect
150. #1970C22semidirect
151. #1970C22semidirect
152. #1961C22semidirect
153. #1961C22semidirect
154. #1961C22semidirect
155. #1957C22semidirect
156. #1955C22semidirect
157. #1949C22semidirect
158. #1940C22semidirect
159. #1926C22semidirect
160. #1926C22semidirect
161. #1926C22semidirect
162. #1925C22semidirect
163. #1924C22semidirect
164. #1923C22semidirect
165. #1895C22semidirect
168. #1893C22semidirect
169. #1879C22semidirect
170. #1879C22semidirect
171. #1879C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
180. #1869C22semidirect
181. #1869C22semidirect
182. #1864C22semidirect
183. #1864C22semidirect
184. #1853C22semidirect
185. #1851C22semidirect
186. #1850C22semidirect
187. #1808C22semidirect
188. #1807C22semidirect
189. #1804C22semidirect
190. #1804C22semidirect
191. #1802C22semidirect
192. #1786C22semidirect
193. #1786C22semidirect
194. #1786C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1771C22semidirect
200. #1762C22semidirect
201. #1762C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1749C22semidirect
334. #459D4semidirect
666. C2×D8C2×D4semidirect
667. C2×D8C2×D4semidirect
779. C4×D4C2×D4semidirect
885. C4⋊C8C2×D4semidirect
920. #102C2×D4semidirect
921. #102C2×D4semidirect
1705. C22#3318semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C22×#4592
#591262
#364402
#310002
#309842
#306092
#305932
#284212
#269432
#269392
#258602
#255812
#253962
#253302
#250972
#250762
#248692
#248652
#248392
#246422
#242722
#242672
#242482
#238482
#231082
#229872
#224232
D4×#1022
#214522