Finite Group Databasebeta

← #7054336

Subgroups — #7054336

Order 512.

2710 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3186C211yesmaximal, characteristic, complemented
3#58997C211yesmaximal, characteristic, complemented
4#39467C211yesmaximal, characteristic, complemented
5#31198C211yesmaximal, characteristic, complemented
6#30919C211yesmaximal, characteristic, complemented
7#30851C211yesmaximal, characteristic, complemented
8#30725C211yesmaximal, characteristic, complemented
9#30714C211yesmaximal, characteristic, complemented
10#30539C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30472C211yesmaximal, characteristic, complemented
13#28930C211yesmaximal, characteristic, complemented
14#28493C211yesmaximal, characteristic, complemented
15#26802C211yesmaximal, characteristic, complemented
16#26640C211yesmaximal, characteristic, complemented
17#25788C211yesmaximal, characteristic, complemented
18#25763C211yesmaximal, characteristic, complemented
19#25539C211yesmaximal, characteristic, complemented
20#25422C211yesmaximal, characteristic, complemented
21#25124C211yesmaximal, characteristic, complemented
22#25116C211yesmaximal, characteristic, complemented
23#25088C211yesmaximal, characteristic, complemented
24#24476C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24379C211yesmaximal, characteristic, complemented
27#24379C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29C2×#1999C211yesmaximal, characteristic, complemented
30#22938C211yesmaximal, characteristic, complemented
31#22844C211yesmaximal, characteristic, complemented
32C23×D8C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic, complemented
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic, complemented
40#3310—28no—
41#3186—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#496C2211yescharacteristic, complemented
44C2×#490C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic
47C2×#480C2211yescharacteristic, complemented
48C2×#480C2211yescharacteristic, complemented
49C2×#480C2211yescharacteristic, complemented
50C2×#478C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic, complemented
59C2×#465C2211yescharacteristic, complemented
60C2×#465C2211yescharacteristic, complemented
61C2×#460C2211yescharacteristic, complemented
62C2×#463C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#440C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76C22×#102C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78C22×C22⋊C8C2211yescharacteristic, complemented
79C22×C22⋊C8C2211yescharacteristic, complemented
80#2848C2211yescharacteristic, complemented
81#2714—21no—
82#2714—21no—
83#2711—21no—
84#2711—21no—
85#2675—21no—
86#2669—21no—
87#2613—21no—
88#2541C2211yescharacteristic, complemented
89#2540C2211yescharacteristic, complemented
90#2540C2211yescharacteristic, complemented
91#2490C2211yescharacteristic, complemented
92#2490C2211yescharacteristic, complemented
93#2482—21no—
94#2435C2211yescharacteristic, complemented
95#2433C2211yescharacteristic
96#2433C2211yescharacteristic, complemented
97#2428C2211yescharacteristic, complemented
98#2428C2211yescharacteristic, complemented
99#2426C2211yescharacteristic, complemented
100#2426C2211yescharacteristic, complemented
101#2424—21no—
102#2424—21no—
103#2416C2211yescharacteristic
104#2416C2211yescharacteristic, complemented
105#2414C2211yescharacteristic, complemented
106#2414C2211yescharacteristic, complemented
107#2411—21no—
108#2410—21no—
109#2410—21no—
110#2408C2211yescharacteristic, complemented
111#2408C2211yescharacteristic, complemented
112#2403—21no—
113#2361C2211yescharacteristic
114#2361C2211yescharacteristic, complemented
115#2344C2211yescharacteristic, complemented
116#2309—21no—
117C4×#120C2211yescharacteristic
118#2067C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2012C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1972C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1943C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1921C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1893C2211yescharacteristic
178#1893C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1872C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1863C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1853C2211yescharacteristic, complemented
195#1853C2211yescharacteristic, complemented
196#1850C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
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×M16C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235#552—24no—
236#552—42no—
237D42—24no—
238D42—42no—
239D42—42no—
240D42—48no—
241D42—42no—
242C2×#127—21no—
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#127C2311yescharacteristic
246C2×#126—21no—
247C2×#125—21no—
248C2×#125C2311yescharacteristic
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#123—21no—
252C2×C22⋊Q8C2311yescharacteristic
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—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×#121—24no—
269C2×#121—24no—
270C2×#121—42no—
271C2×#121—42no—
272C2×#121—42no—
273C2×#121—42no—
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120D411yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×#117—21no—
310C2×#117—21no—
311C2×#117C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318#496—42no—
319#496—42no—
320#490—24no—
321#482—24no—
322#480—24no—
323#480—24no—
324#480—24no—
325#480D418yescomplemented
326#478—24no—
327#469—42no—
328#468—24no—
329#466—24no—
330#466—24no—
331#466—24no—
332#466—24no—
333#465—24no—
334#465—42no—
335#465—42no—
336#465—42no—
337#463—42no—
338#460—24no—
339#450—24no—
340#450—24no—
341#450—42no—
342#447—24no—
343#447—24no—
344#447—24no—
345#447—24no—
346#447—42no—
347#447—42no—
348#440—24no—
349#435—24no—
350#435—42no—
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#107C2311yescharacteristic
354C2×#107C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362#418—24no—
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#102—24no—
368C2×#102—42no—
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×C22⋊C8—24no—
398C2×C22⋊C8—42no—
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
411C2×#97C2311yescharacteristic
412C2×#97C2311yescharacteristic
413#399—21no—
414#399—21no—
415#397—21no—
416#397—21no—
417#396—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#394—21no—
422#394—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#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#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390—21no—
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#389C2311yescharacteristic
469#389C2311yescharacteristic
470#389C2311yescharacteristic
471#389C2311yescharacteristic
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#387—21no—
481#387—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386D411yescharacteristic
489#386D411yescharacteristic
490#386D411yescharacteristic
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385D411yescharacteristic
497#385D411yescharacteristic
498#385D411yescharacteristic
499#381—21no—
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#379—21no—
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379D411yescharacteristic
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
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—
537C25—21no—
538C25C2×D411yescharacteristic
539C22×Q8C2411yescharacteristic
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—22no—
543C22×D4—22no—
544C22×D4—22no—
545C22×D4—22no—
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—22no—
561C22×D4—22no—
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—41no—
575C22×D4—41no—
576C22×D4—41no—
577C22×D4—41no—
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—44no—
591C22×D4—44no—
592C22×D4—44no—
593C22×D4—44no—
594C22×D4—44no—
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×D4—82no—
605C22×D4C2×D411yescharacteristic
606C22×D4C2×D411yescharacteristic
607C22×D4C2×D411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C22×D4C2411yescharacteristic
611C22×D4C2411yescharacteristic
612C22×D4C2411yescharacteristic
613C22×D4C2411yescharacteristic
614C23×C4—21no—
615C23×C4—22no—
616C23×C4—22no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—41no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4C2×D411yescharacteristic
626C23×C4C2×D411yescharacteristic
627C23×C4C2×D411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
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—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—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—416no—
669C2×M16—22no—
670C2×M16—41no—
671C2×M16—41no—
672C22×C8—22no—
673C22×C8—22no—
674C22×C8—22no—
675C22×C8—22no—
676C22×C8—22no—
677C22×C8—41no—
678C22×C8—41no—
679C22×C8—41no—
680C22×C8—41no—
681C22×C8—41no—
682C22×C8—41no—
683C22×C8—41no—
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692#127—22no—
693#127—22no—
694#127—41no—
695#127—41no—
696#127—41no—
697#127—41no—
698#127—44no—
699#126—44no—
700#125—22no—
701#125—41no—
702#125—44no—
703#124—41no—
704#124—41no—
705#124—41no—
706#124—41no—
707#123—44no—
708C22⋊Q8—22no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716#121—22no—
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—44no—
732#121—44no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—44no—
737#121—41no—
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—44no—
750#121—44no—
751#121—44no—
752#121—44no—
753#121—44no—
754#121—44no—
755#121—41no—
756#121—41no—
757#121—41no—
758#121—41no—
759#121C2×D414yes—
760#120—24no—
761#120—44no—
762#120—44no—
763#120—44no—
764#120—44no—
765#120—44no—
766#120—44no—
767#120—44no—
768#120—82no—
769#120—82no—
770#120—82no—
771C4×Q8—22no—
772C4×Q8—41no—
773C4×D4—22no—
774C4×D4—22no—
775C4×D4—22no—
776C4×D4—22no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—41no—
783C4×D4—44no—
784C4×D4—44no—
785#117—22no—
786#117—44no—
787#117—41no—
788#117—82no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—22no—
791C2×C4⋊C4—22no—
792C2×C4⋊C4—22no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
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—41no—
807C2×C4⋊C4—41no—
808C2×C4⋊C4C2×D411yescharacteristic
809C2×C4⋊C4C2×D411yescharacteristic
810C2×C4⋊C4C2×D411yescharacteristic
811C2×C4⋊C4C2×D414yescomplemented
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2411yescharacteristic
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—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⋊C4C2×D411yescharacteristic
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×C42—21no—
884C2×C42—21no—
885C2×C42—21no—
886C2×C42—21no—
887C2×C42—21no—
888C2×C42C2411yescharacteristic
889C2×C42C2411yescharacteristic
890C2×C42C2411yescharacteristic
891#107—22no—
892#107—22no—
893#107C2×D414yescomplemented
894#107C2×D414yescomplemented
895#106—22no—
896#106—22no—
897#106—41no—
898#106—41no—
899C4⋊C8—22no—
900C4⋊C8—41no—
901C4⋊C8—41no—
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—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
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#102C2×D414yescomplemented
933#102C2×D414yescomplemented
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8—22no—
941C22⋊C8—41no—
942C22⋊C8—41no—
943C22⋊C8—41no—
944C22⋊C8C2×D414yescomplemented
945#97—22no—
946#97—22no—
947#97—41no—
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#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964#95C2×D411yescharacteristic
965C24—22no—
966C24—22no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—41no—
974C24—41no—
975C24—41no—
976C24—41no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—42no—
990C24—42no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24AGL(1,ℤ/8)14yes—
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×D4—24no—
1017C2×D4—22no—
1018C2×D4—24no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—22no—
1022C2×D4—22no—
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—44no—
1058C2×D4—44no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—41no—
1064C2×D4—41no—
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—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—44no—
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—42no—
1109C2×D4—42no—
1110C2×D4—82no—
1111C2×D4—82no—
1112C2×D4—82no—
1113C2×D4—82no—
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—81no—
1129C2×D4—81no—
1130C2×D4—82no—
1131C2×D4—82no—
1132C2×D4—82no—
1133C2×D4—82no—
1134C2×D4—82no—
1135C2×D4—82no—
1136C2×D4—82no—
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—816no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—816no—
1155C2×D4—816no—
1156C2×D4—816no—
1157C2×D4—816no—
1158C2×D4C22×D412yes—
1159C2×D4H(5,𝔽2)12yes—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—24no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—22no—
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—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
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—82no—
1213C22×C4—82no—
1214C22×C4—82no—
1215C22×C4—82no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
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×C4C22×D412yes—
1231C22×C4H(5,𝔽2)12yes—
1232C22×C4C2511yescharacteristic
1233SD16—44no—
1234SD16—82no—
1235SD16—82no—
1236SD16—82no—
1237D8—44no—
1238D8—44no—
1239D8—44no—
1240D8—44no—
1241D8—82no—
1242D8—82no—
1243D8—82no—
1244D8—82no—
1245M16—82no—
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—21no—
1267C2×C8—44no—
1268C2×C8—82no—
1269C2×C8—82no—
1270C2×C8—82no—
1271C2×C8C22×D412yes—
1272C2×C8C22×D412yes—
1273C2×C8H(5,𝔽2)12yes—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
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—41no—
1291C4⋊C4—41no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—81no—
1302C4⋊C4—81no—
1303C4⋊C4—81no—
1304C4⋊C4—81no—
1305C4⋊C4C22×D412yes—
1306C4⋊C4C22×D412yes—
1307C4⋊C4C22×D412yes—
1308C4⋊C4H(5,𝔽2)12yes—
1309C22⋊C4—24no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
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—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
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⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—21no—
1374C42—42no—
1375C42—42no—
1376C42—42no—
1377C42—81no—
1378C42—81no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—28no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—44no—
1406C23—44no—
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—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
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—
1477C23—162no—
1478C23—162no—
1479C23D4212yes—
1480C23C2×AGL(1,ℤ/8)12yes—
1481C23C2×AGL(1,ℤ/8)12yes—
1482C23C2×AGL(1,ℤ/8)12yes—
1483C23#57612yes—
1484C23C23×D411yescharacteristic
1485Q8—41no—
1486Q8—41no—
1487Q8—41no—
1488Q8—41no—
1489D4—22no—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—44no—
1494D4—48no—
1495D4—44no—
1496D4—48no—
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—82no—
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—84no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
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—41no—
1580C2×C4—48no—
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—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—82no—
1619C2×C4—82no—
1620C2×C4—82no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4D4212yes—
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—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—41no—
1664C22—41no—
1665C22—42no—
1666C22—42no—
1667C22—41no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—88no—
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—81no—
1708C22—81no—
1709C22—81no—
1710C22—168no—
1711C22—168no—
1712C22—168no—
1713C22—168no—
1714C22#326414yes—
1715C22C2×D4211yescharacteristic
1716C22#348411yescharacteristic
1717C22#349611yescharacteristic
1718C22C22×AGL(1,ℤ/8)11yescharacteristic
1719C22C2×#57611yescharacteristic
1720C22#358411yescharacteristic
1721C22#358511yescharacteristic
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—42no—
1734C4—41no—
1735C4—41no—
1736C4—81no—
1737C4—81no—
1738C4—81no—
1739C4—81no—
1740C4—81no—
1741C4—81no—
1742C4#348811yescharacteristic
1743C4#349811yescharacteristic
1744C4#353211yescharacteristic
1745C4#354211yescharacteristic
1746C2—24no—
1747C2—42no—
1748C2—42no—
1749C2—81no—
1750C2—82no—
1751C2—82no—
1752C2—161no—
1753C2—161no—
1754C2—161no—
1755C2—161no—
1756C2#4388611yescharacteristic
1757C2C2×#326411yescharacteristic
1758C2#6107711yescharacteristic
1759C2#6157111yescharacteristic
1760C2#6163911yescharacteristic
1761C2#6225311yescharacteristic
1762C2#6231511yescharacteristic
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×#3310C2semidirect
2. C2×#3186C2semidirect
3. #58997C2semidirect
4. #39467C2semidirect
5. #31198C2semidirect
6. #30919C2semidirect
7. #30851C2semidirect
8. #30725C2semidirect
9. #30714C2semidirect
10. #30539C2semidirect
11. #30501C2semidirect
12. #30472C2semidirect
13. #28930C2semidirect
14. #28493C2semidirect
15. #26802C2semidirect
16. #26640C2semidirect
17. #25788C2semidirect
18. #25763C2semidirect
19. #25539C2semidirect
20. #25422C2semidirect
21. #25124C2semidirect
22. #25116C2semidirect
23. #25088C2semidirect
24. #24476C2semidirect
25. #24440C2semidirect
26. #24379C2semidirect
27. #24379C2semidirect
28. #23848C2semidirect
29. C2×#1999C2semidirect
30. #22938C2semidirect
31. #22844C2semidirect
32. C23×D8C22semidirect
33. C2×#552C22semidirect
36. C2×D42C22semidirect
39. C22×#121C22semidirect
42. C2×#496C22semidirect
43. C2×#496C22semidirect
44. C2×#490C22semidirect
45. C2×#482C22semidirect
47. C2×#480C22semidirect
48. C2×#480C22semidirect
49. C2×#480C22semidirect
50. C2×#478C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#466C22semidirect
54. C2×#466C22semidirect
55. C2×#466C22semidirect
56. C2×#466C22semidirect
58. C2×#465C22semidirect
59. C2×#465C22semidirect
60. C2×#465C22semidirect
61. C2×#460C22semidirect
62. C2×#463C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#440C22semidirect
73. C2×#435C22semidirect
74. C2×#435C22semidirect
75. C2×#418C22semidirect
76. C22×#102C22semidirect
77. C22×#102C22semidirect
78. C22×C22⋊C8C22semidirect
79. C22×C22⋊C8C22semidirect
80. #2848C22semidirect
88. #2541C22semidirect
89. #2540C22semidirect
90. #2540C22semidirect
91. #2490C22semidirect
92. #2490C22semidirect
94. #2435C22semidirect
96. #2433C22semidirect
97. #2428C22semidirect
98. #2428C22semidirect
99. #2426C22semidirect
100. #2426C22semidirect
104. #2416C22semidirect
105. #2414C22semidirect
106. #2414C22semidirect
110. #2408C22semidirect
111. #2408C22semidirect
114. #2361C22semidirect
115. #2344C22semidirect
118. #2067C22semidirect
119. #2067C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2042C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2025C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2012C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1982C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1972C22semidirect
164. #1955C22semidirect
165. #1943C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1926C22semidirect
169. #1926C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1921C22semidirect
175. #1921C22semidirect
176. #1895C22semidirect
178. #1893C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1875C22semidirect
186. #1872C22semidirect
187. #1872C22semidirect
188. #1870C22semidirect
189. #1869C22semidirect
190. #1869C22semidirect
191. #1864C22semidirect
192. #1863C22semidirect
193. #1854C22semidirect
194. #1853C22semidirect
195. #1853C22semidirect
196. #1850C22semidirect
197. #1850C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1776C22semidirect
201. #1762C22semidirect
202. #1752C22semidirect
203. #1752C22semidirect
204. C2×#340C22semidirect
325. #480D4semidirect
811. C2×C4⋊C4C2×D4semidirect
893. #107C2×D4semidirect
894. #107C2×D4semidirect
932. #102C2×D4semidirect
933. #102C2×D4semidirect
944. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#31862
#589972
#394672
#311982
#309192
#308512
#307252
#307142
#305392
#305012
#304722
#289302
#284932
#268022
#266402
#257882
#257632
#255392
#254222
#251242
#251162
#250882
#244762
#244402
#243792
#238482
C2×#19992
#229382
#228442