Finite Group Databasebeta

← #6545157

Subgroups — #6545157

Order 512.

2559 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic, complemented
2C2×#2974C211yesmaximal, characteristic, complemented
3#36157C211yesmaximal, characteristic, complemented
4D4×#121C211yesmaximal, characteristic, complemented
5#29851C211yesmaximal, characteristic, complemented
6#29742C211yesmaximal, characteristic, complemented
7#29732C211yesmaximal, characteristic, complemented
8#28609C211yesmaximal, characteristic, complemented
9#28237C211yesmaximal, characteristic, complemented
10#28110C211yesmaximal, characteristic, complemented
11#28097C211yesmaximal, characteristic, complemented
12#25396C211yesmaximal, characteristic, complemented
13#25351C211yesmaximal, characteristic, complemented
14#25263C211yesmaximal, characteristic, complemented
15#25238C211yesmaximal, characteristic, complemented
16#25132C211yesmaximal, characteristic, complemented
17#25108C211yesmaximal, characteristic, complemented
18#24792C211yesmaximal, characteristic, complemented
19#24780C211yesmaximal, characteristic, complemented
20#24704C211yesmaximal, characteristic, complemented
21#24650C211yesmaximal, characteristic, complemented
22#24557C211yesmaximal, characteristic, complemented
23#24555C211yesmaximal, characteristic, complemented
24#24384C211yesmaximal, characteristic, complemented
25#24378C211yesmaximal, characteristic, complemented
26#23708C211yesmaximal, characteristic, complemented
27#23480C211yesmaximal, characteristic, complemented
28C2×#2033C211yesmaximal, characteristic, complemented
29#22661C211yesmaximal, characteristic, complemented
30#22493C211yesmaximal, characteristic, complemented
31#22423C211yesmaximal, characteristic, complemented
32C2×#553C2211yescharacteristic
33C2×D42—21no—
34C2×D42C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×C4×D4C2211yescharacteristic
38#3318—28no—
39C2×#490C2211yescharacteristic, complemented
40C2×#481C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic, complemented
42C2×#478C2211yescharacteristic, complemented
43C2×#469C2211yescharacteristic, complemented
44C2×#469C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic, complemented
46C2×#466C2211yescharacteristic, complemented
47C2×#466C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic, complemented
50C2×#447C2211yescharacteristic, complemented
51C2×#447C2211yescharacteristic, complemented
52#2974—28no—
53C2×#442C2211yescharacteristic, complemented
54C2×#436C2211yescharacteristic, complemented
55C2×#436C2211yescharacteristic, complemented
56C2×#435C2211yescharacteristic
57C2×#435C2211yescharacteristic
58C2×#435C2211yescharacteristic, complemented
59C2×#435C2211yescharacteristic, complemented
60C2×C8×D4C2211yescharacteristic, complemented
61C2×C8×D4C2211yescharacteristic, complemented
62C2×#432C2211yescharacteristic, complemented
63C2×#431C2211yescharacteristic, complemented
64C2×#428C2211yescharacteristic, complemented
65C22×#107C2211yescharacteristic, complemented
66C2×#418C2211yescharacteristic, complemented
67C2×#418C2211yescharacteristic, complemented
68C22×#102C2211yescharacteristic, complemented
69C22×#102C2211yescharacteristic, complemented
70C2×#407C2211yescharacteristic, complemented
71C2×#407C2211yescharacteristic, complemented
72C22×C22⋊C8C2211yescharacteristic, complemented
73C22×C22⋊C8C2211yescharacteristic, complemented
74#2856C2211yescharacteristic
75#2851C2211yescharacteristic, complemented
76#2847C2211yescharacteristic
77#2847C2211yescharacteristic
78#2847C2211yescharacteristic, complemented
79#2847C2211yescharacteristic, complemented
80#2562C2211yescharacteristic, complemented
81#2541C2211yescharacteristic
82#2537C2211yescharacteristic
83#2535C2211yescharacteristic, complemented
84#2487C2211yescharacteristic, complemented
85#2485C2211yescharacteristic, complemented
86#2481—21no—
87#2467—21no—
88#2457—21no—
89#2444—21no—
90#2428—21no—
91#2424—21no—
92#2424—21no—
93#2418—21no—
94#2416—21no—
95#2416C2211yescharacteristic
96#2416C2211yescharacteristic
97#2416C2211yescharacteristic, complemented
98#2414C2211yescharacteristic, complemented
99#2410—21no—
100#2410—21no—
101#2410—21no—
102#2408C2211yescharacteristic
103#2408C2211yescharacteristic
104#2364—21no—
105#2358—21no—
106#2352C2211yescharacteristic
107D4×C4⋊C4C2211yescharacteristic
108D4×C22⋊C4—21no—
109C4×#121C2211yescharacteristic
110C4×#121C2211yescharacteristic, complemented
111#2280C2211yescharacteristic, complemented
112C2×#380C2211yescharacteristic, complemented
113#2088C2211yescharacteristic, complemented
114#2077C2211yescharacteristic, complemented
115#2077C2211yescharacteristic, complemented
116#2077C2211yescharacteristic, complemented
117#2076C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2065C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2034C2211yescharacteristic
127#2034C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2033C2211yescharacteristic, complemented
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2033C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1992C2211yescharacteristic, complemented
154#1989C2211yescharacteristic, complemented
155#1982C2211yescharacteristic, complemented
156#1970C2211yescharacteristic, complemented
157#1970C2211yescharacteristic, complemented
158#1961C2211yescharacteristic, complemented
159#1949C2211yescharacteristic, complemented
160#1947C2211yescharacteristic, complemented
161#1942C2211yescharacteristic, complemented
162#1941C2211yescharacteristic, complemented
163#1934C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1934C2211yescharacteristic, complemented
167#1895C2211yescharacteristic, complemented
168#1895C2211yescharacteristic, complemented
169#1895C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1893C2211yescharacteristic, complemented
179#1875C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1874C2211yescharacteristic, complemented
182#1874C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1847C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1824C2211yescharacteristic, complemented
190#1809C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1808C2211yescharacteristic, complemented
194#1807C2211yescharacteristic, complemented
195#1807C2211yescharacteristic, complemented
196#1804C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C23×D4—21no—
206C23×D4—21no—
207C23×D4—21no—
208C23×D4D411yescharacteristic
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C22×M16C2311yescharacteristic
218C22×M16C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#553—24no—
225#553—24no—
226D42—24no—
227D42—24no—
228D42—48no—
229C2×#127—21no—
230C2×#127C2311yescharacteristic
231C2×#126—21no—
232C2×#125C2311yescharacteristic
233C2×#123—21no—
234C2×#121—21no—
235C2×#121—21no—
236C2×#121—21no—
237C2×#121—21no—
238C2×#121—21no—
239C2×#121—21no—
240C2×#121—21no—
241C2×#121—21no—
242C2×#121—21no—
243C2×#121—21no—
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—42no—
247C2×#121—42no—
248C2×#121—42no—
249C2×#121—42no—
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#120—21no—
267C2×#120—21no—
268C2×#120—21no—
269C2×#120—21no—
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—21no—
274C2×C4×D4—24no—
275C2×C4×D4—24no—
276C2×C4×D4—21no—
277C2×C4×D4—21no—
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4D411yescharacteristic
281C2×C4×D4D411yescharacteristic
282C2×C4×D4D411yescharacteristic
283C2×C4×D4D411yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290C2×#117C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C22×C4⋊C4D411yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C22⋊C4—21no—
298C22×C22⋊C4—21no—
299C22×C22⋊C4—21no—
300C22×C22⋊C4D411yescharacteristic
301C22×C22⋊C4D411yescharacteristic
302C22×C42C2311yescharacteristic
303#490—24no—
304#482—24no—
305#481—24no—
306#478—24no—
307#469—24no—
308#469—42no—
309#469—42no—
310#466—24no—
311#466—42no—
312#466—42no—
313#459—24no—
314#447—24no—
315#447—24no—
316#442—24no—
317#436—24no—
318#436—24no—
319#435—24no—
320#435—24no—
321#435—24no—
322#435D418yescomplemented
323C8×D4—24no—
324C8×D4—24no—
325#432—24no—
326#431—24no—
327#428—42no—
328C2×#107—42no—
329C2×#107C2311yescharacteristic
330C2×#107C2311yescharacteristic
331C2×#107C2311yescharacteristic
332C2×#107C2311yescharacteristic
333C2×#107C2311yescharacteristic
334C2×#107C2311yescharacteristic
335C2×#107C2311yescharacteristic
336C2×#106C2311yescharacteristic
337C2×#106C2311yescharacteristic
338C2×#106C2311yescharacteristic
339C2×#106C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×C4⋊C8C2311yescharacteristic
343C2×C4⋊C8C2311yescharacteristic
344C2×C4⋊C8C2311yescharacteristic
345C2×C4⋊C8C2311yescharacteristic
346#418—24no—
347#418—42no—
348C2×#102—24no—
349C2×#102—42no—
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×#102C2311yescharacteristic
357C2×#102C2311yescharacteristic
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
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
376#407—24no—
377#407—24no—
378C2×C22⋊C8—24no—
379C2×C22⋊C8—24no—
380C2×C22⋊C8C2311yescharacteristic
381C2×C22⋊C8C2311yescharacteristic
382C2×C22⋊C8C2311yescharacteristic
383C2×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395C2×C4×C8C2311yescharacteristic
396#400—21no—
397#400—21no—
398#399—21no—
399#397—21no—
400#397—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#394—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#392—21no—
415#392—21no—
416#392—21no—
417#392—21no—
418#392—21no—
419#392—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#389—21no—
429#389C2311yescharacteristic
430#389C2311yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#388—21no—
439#388—21no—
440#387—21no—
441#387—21no—
442#387—21no—
443#387—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#385—21no—
466#385—21no—
467#385—21no—
468#385—21no—
469#385—21no—
470#384C2311yescharacteristic
471#382C2311yescharacteristic
472#381—21no—
473#380—21no—
474#380—21no—
475#380—21no—
476#380C2311yescharacteristic
477#380C2311yescharacteristic
478#380C2311yescharacteristic
479#380C2311yescharacteristic
480#380C2311yescharacteristic
481#380C2311yescharacteristic
482#380C2311yescharacteristic
483#380C2311yescharacteristic
484#380C2311yescharacteristic
485#380C2311yescharacteristic
486#380C2311yescharacteristic
487#380C2311yescharacteristic
488#380C2311yescharacteristic
489#380C2311yescharacteristic
490#380C2311yescharacteristic
491#380C2311yescharacteristic
492#379—21no—
493#379—21no—
494#379—21no—
495C4×C4⋊C4C2311yescharacteristic
496C4×C4⋊C4C2311yescharacteristic
497C4×C22⋊C4—21no—
498C4×C22⋊C4—21no—
499C4×C22⋊C4—21no—
500C4×C22⋊C4—21no—
501C4×C22⋊C4—21no—
502C2×#95—21no—
503#340C2311yescharacteristic
504#340C2311yescharacteristic
505#340C2311yescharacteristic
506#340C2311yescharacteristic
507#340C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525C25—21no—
526C25—21no—
527C25C2×D411yescharacteristic
528C25C2×D411yescharacteristic
529C22×D4—21no—
530C22×D4—24no—
531C22×D4—24no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4—41no—
560C22×D4—41no—
561C22×D4—41no—
562C22×D4—41no—
563C22×D4—42no—
564C22×D4—44no—
565C22×D4—44no—
566C22×D4—44no—
567C22×D4—44no—
568C22×D4—44no—
569C22×D4—44no—
570C22×D4—44no—
571C22×D4—82no—
572C22×D4—82no—
573C22×D4C2×D411yescharacteristic
574C22×D4C2×D411yescharacteristic
575C22×D4C2×D411yescharacteristic
576C22×D4C2×D411yescharacteristic
577C22×D4C2411yescharacteristic
578C22×D4C2411yescharacteristic
579C22×D4C2411yescharacteristic
580C22×D4C2411yescharacteristic
581C23×C4—22no—
582C23×C4—22no—
583C23×C4—22no—
584C23×C4—22no—
585C23×C4—21no—
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—41no—
592C23×C4—41no—
593C23×C4—41no—
594C23×C4—41no—
595C23×C4—41no—
596C23×C4—41no—
597C23×C4—41no—
598C23×C4—41no—
599C23×C4C2×D411yescharacteristic
600C23×C4C2×D411yescharacteristic
601C23×C4C2×D411yescharacteristic
602C23×C4C2×D411yescharacteristic
603C23×C4C2×D411yescharacteristic
604C23×C4C2×D411yescharacteristic
605C23×C4C2×D411yescharacteristic
606C23×C4C2×D411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C2×D8—22no—
613C2×D8—22no—
614C2×D8—22no—
615C2×D8—22no—
616C2×D8—41no—
617C2×D8—41no—
618C2×D8—41no—
619C2×D8—41no—
620C2×D8—41no—
621C2×M16—22no—
622C2×M16—22no—
623C2×M16—22no—
624C2×M16—41no—
625C2×M16—41no—
626C2×M16—41no—
627C2×M16—41no—
628C2×M16—41no—
629C2×M16—41no—
630C2×M16—41no—
631C2×M16—41no—
632C2×M16C2×D414yescomplemented
633C22×C8—22no—
634C22×C8—22no—
635C22×C8—22no—
636C22×C8—41no—
637C22×C8—41no—
638C22×C8—41no—
639C22×C8—41no—
640C22×C8—41no—
641C22×C8—41no—
642C22×C8—41no—
643C22×C8—41no—
644C22×C8C2×D414yescomplemented
645C22×C8C2411yescharacteristic
646C22×C8C2411yescharacteristic
647C22×C8C2411yescharacteristic
648C22×C8C2411yescharacteristic
649C22×C8C2411yescharacteristic
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653#127—22no—
654#127—22no—
655#127—44no—
656#126—44no—
657#125—22no—
658#125—22no—
659#123—44no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—44no—
675#121—44no—
676#121—41no—
677#121—41no—
678#121—41no—
679#121—41no—
680#121—41no—
681#121—41no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—44no—
687#121—44no—
688#121—44no—
689#121—44no—
690#121—44no—
691#121—44no—
692#121—44no—
693#121—44no—
694#121—44no—
695#121—41no—
696#121—41no—
697#121—41no—
698#121—41no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—82no—
704#120—44no—
705#120—44no—
706#120—44no—
707#120—44no—
708#120—44no—
709#120—44no—
710#120—44no—
711#120—82no—
712C4×D4—24no—
713C4×D4—22no—
714C4×D4—22no—
715C4×D4—22no—
716C4×D4—22no—
717C4×D4—24no—
718C4×D4—24no—
719C4×D4—24no—
720C4×D4—22no—
721C4×D4—22no—
722C4×D4—22no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—44no—
727C4×D4—44no—
728C4×D4—44no—
729C4×D4—82no—
730C4×D4C2×D414yes—
731C4×D4#4114yes—
732#117—22no—
733#117—22no—
734#117—41no—
735#117—41no—
736C2×C4⋊C4—24no—
737C2×C4⋊C4—22no—
738C2×C4⋊C4—22no—
739C2×C4⋊C4—22no—
740C2×C4⋊C4—22no—
741C2×C4⋊C4—21no—
742C2×C4⋊C4—21no—
743C2×C4⋊C4—21no—
744C2×C4⋊C4—21no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—21no—
748C2×C4⋊C4—21no—
749C2×C4⋊C4—21no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—41no—
754C2×C4⋊C4—41no—
755C2×C4⋊C4—41no—
756C2×C4⋊C4—41no—
757C2×C4⋊C4C2×D411yescharacteristic
758C2×C4⋊C4C2×D411yescharacteristic
759C2×C4⋊C4C2×D411yescharacteristic
760C2×C4⋊C4C2×D411yescharacteristic
761C2×C4⋊C4C2411yescharacteristic
762C2×C4⋊C4C2411yescharacteristic
763C2×C4⋊C4C2411yescharacteristic
764C2×C4⋊C4C2411yescharacteristic
765C2×C4⋊C4C2411yescharacteristic
766C2×C4⋊C4C2411yescharacteristic
767C2×C4⋊C4C2411yescharacteristic
768C2×C4⋊C4C2411yescharacteristic
769C2×C4⋊C4C2411yescharacteristic
770C2×C4⋊C4C2411yescharacteristic
771C2×C4⋊C4C2411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C22⋊C4—21no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
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—44no—
820C2×C22⋊C4—44no—
821C2×C22⋊C4—82no—
822C2×C22⋊C4C2×D411yescharacteristic
823C2×C22⋊C4C2×D411yescharacteristic
824C2×C22⋊C4C2×D411yescharacteristic
825C2×C22⋊C4C2×D411yescharacteristic
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C42—22no—
831C2×C42—22no—
832C2×C42—21no—
833C2×C42—21no—
834C2×C42—21no—
835C2×C42—21no—
836C2×C42C2×D411yescharacteristic
837C2×C42C2×D411yescharacteristic
838C2×C42C2411yescharacteristic
839C2×C42C2411yescharacteristic
840#107—22no—
841#107—22no—
842#107—22no—
843#107—41no—
844#107—41no—
845#107—41no—
846#107—41no—
847#106—22no—
848#106—22no—
849#106—22no—
850#106—41no—
851#106—41no—
852#106—41no—
853C4⋊C8—22no—
854C4⋊C8—22no—
855C4⋊C8—22no—
856C4⋊C8C2×D414yescomplemented
857#102—22no—
858#102—22no—
859#102—22no—
860#102—22no—
861#102—22no—
862#102—22no—
863#102—22no—
864#102—22no—
865#102—22no—
866#102—22no—
867#102—22no—
868#102—22no—
869#102—22no—
870#102—22no—
871#102—41no—
872#102—41no—
873#102—41no—
874#102—41no—
875#102—41no—
876#102—41no—
877#102—41no—
878#102—41no—
879#102—41no—
880#102—41no—
881#102—41no—
882#102—41no—
883C22⋊C8—22no—
884C22⋊C8—22no—
885C22⋊C8—22no—
886C22⋊C8—22no—
887C22⋊C8—22no—
888C22⋊C8—22no—
889C22⋊C8—22no—
890C22⋊C8—22no—
891C22⋊C8—22no—
892C22⋊C8—22no—
893C22⋊C8C2×D414yescomplemented
894C22⋊C8C2×D414yescomplemented
895#97—22no—
896#97C2×D414yescomplemented
897C4×C8—22no—
898C4×C8—22no—
899#95—21no—
900#95—21no—
901#95—21no—
902#95—21no—
903#95—21no—
904#95—21no—
905#95—21no—
906#95—21no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923C24—22no—
924C24—21no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—41no—
935C24—41no—
936C24—41no—
937C24—41no—
938C24—41no—
939C24—41no—
940C24—41no—
941C24—42no—
942C24—42no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—42no—
948C24—42no—
949C24—81no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24C22×D411yescharacteristic
956C24C22×D411yescharacteristic
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959C24C22×D411yescharacteristic
960C2×D4—22no—
961C2×D4—22no—
962C2×D4—22no—
963C2×D4—22no—
964C2×D4—24no—
965C2×D4—22no—
966C2×D4—22no—
967C2×D4—22no—
968C2×D4—22no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—21no—
972C2×D4—21no—
973C2×D4—21no—
974C2×D4—21no—
975C2×D4—21no—
976C2×D4—21no—
977C2×D4—21no—
978C2×D4—21no—
979C2×D4—21no—
980C2×D4—21no—
981C2×D4—21no—
982C2×D4—21no—
983C2×D4—21no—
984C2×D4—21no—
985C2×D4—21no—
986C2×D4—21no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—41no—
997C2×D4—41no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—42no—
1001C2×D4—42no—
1002C2×D4—42no—
1003C2×D4—42no—
1004C2×D4—416no—
1005C2×D4—42no—
1006C2×D4—42no—
1007C2×D4—42no—
1008C2×D4—42no—
1009C2×D4—42no—
1010C2×D4—42no—
1011C2×D4—42no—
1012C2×D4—42no—
1013C2×D4—42no—
1014C2×D4—42no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—42no—
1018C2×D4—42no—
1019C2×D4—42no—
1020C2×D4—42no—
1021C2×D4—42no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—82no—
1041C2×D4—82no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4—81no—
1061C2×D4—81no—
1062C2×D4—816no—
1063C2×D4—816no—
1064C2×D4—816no—
1065C2×D4#12114yes—
1066C2×D4AGL(1,ℤ/8)14yes—
1067C2×D4H(5,𝔽2)12yes—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—22no—
1077C22×C4—21no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—42no—
1131C22×C4—42no—
1132C22×C4—42no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—42no—
1136C22×C4—42no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—82no—
1141C22×C4—82no—
1142C22×C4—82no—
1143C22×C4—82no—
1144C22×C4—82no—
1145C22×C4—82no—
1146C22×C4—82no—
1147C22×C4—82no—
1148C22×C4—81no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4—81no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4—81no—
1155C22×C4—81no—
1156C22×C4C22×D411yescharacteristic
1157C22×C4C22×D411yescharacteristic
1158C22×C4C22×D411yescharacteristic
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D412yes—
1165C22×C4C22×D412yes—
1166C22×C4C22×D411yescharacteristic
1167C22×C4C2×#4112yes—
1168C22×C4C2×#4112yes—
1169C22×C4C2511yescharacteristic
1170D8—44no—
1171D8—82no—
1172D8—82no—
1173M16—44no—
1174M16—82no—
1175M16—82no—
1176M16—82no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—44no—
1198C2×C8—82no—
1199C2×C8—82no—
1200C2×C8—82no—
1201C2×C8C22×D412yes—
1202C2×C8C22×D412yes—
1203C2×C8C22×D412yes—
1204C2×C8C22×D412yes—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—42no—
1232C4⋊C4—42no—
1233C4⋊C4—42no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—81no—
1240C4⋊C4—81no—
1241C4⋊C4—81no—
1242C4⋊C4—81no—
1243C4⋊C4#12114yes—
1244C4⋊C4H(5,𝔽2)12yes—
1245C22⋊C4—24no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4#12114yes—
1296C22⋊C4#12114yes—
1297C42—22no—
1298C42—22no—
1299C42—21no—
1300C42—21no—
1301C42—42no—
1302C42—42no—
1303C42—81no—
1304C42—81no—
1305C42C22×D412yes—
1306C42C2×#4112yes—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—22no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—44no—
1338C23—44no—
1339C23—44no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—44no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—82no—
1372C23—82no—
1373C23—82no—
1374C23—82no—
1375C23—82no—
1376C23—82no—
1377C23—84no—
1378C23—84no—
1379C23—84no—
1380C23—84no—
1381C23—84no—
1382C23—82no—
1383C23—84no—
1384C23—84no—
1385C23—84no—
1386C23—162no—
1387C23—162no—
1388C23—162no—
1389C23—162no—
1390C23—162no—
1391C23—162no—
1392C23C2×#12112yes—
1393C23C2×#12112yes—
1394C23C2×AGL(1,ℤ/8)12yes—
1395C23C2×AGL(1,ℤ/8)12yes—
1396C23#57512yes—
1397C23#57612yes—
1398C23C23×D411yescharacteristic
1399D4—28no—
1400D4—28no—
1401D4—22no—
1402D4—22no—
1403D4—44no—
1404D4—44no—
1405D4—48no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—41no—
1414D4—41no—
1415D4—41no—
1416D4—41no—
1417D4—41no—
1418D4—41no—
1419D4—41no—
1420D4—84no—
1421D4—84no—
1422D4—84no—
1423D4—84no—
1424D4—84no—
1425D4—84no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—84no—
1431D4—84no—
1432D4—84no—
1433D4—162no—
1434D4—162no—
1435D4—162no—
1436D4—162no—
1437D4—162no—
1438D4—162no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—82no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—84no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4—84no—
1527C2×C4—84no—
1528C2×C4—162no—
1529C2×C4—162no—
1530C2×C4—162no—
1531C2×C4C2×#12112yes—
1532C2×C4C2×#12112yes—
1533C2×C4C2×#12112yes—
1534C2×C4C2×#12112yes—
1535C2×C4C2×AGL(1,ℤ/8)12yes—
1536C2×C4C23×D411yescharacteristic
1537C2×C4C22×#4111yescharacteristic
1538C2×C4C2×H(5,𝔽2)11yescharacteristic
1539C2×C4C2×H(5,𝔽2)11yescharacteristic
1540C2×C4#58511yescharacteristic
1541C2×C4#58511yescharacteristic
1542C8—22no—
1543C8—22no—
1544C8—22no—
1545C8—22no—
1546C8—41no—
1547C8—41no—
1548C8—41no—
1549C8—41no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—41no—
1584C22—42no—
1585C22—41no—
1586C22—42no—
1587C22—88no—
1588C22—88no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—168no—
1615C22—168no—
1616C22#305514yes—
1617C22C22×#12111yescharacteristic
1618C22#348411yescharacteristic
1619C22#348511yescharacteristic
1620C22C22×AGL(1,ℤ/8)11yescharacteristic
1621C22C2×#57511yescharacteristic
1622C22C2×#57611yescharacteristic
1623C22#358411yescharacteristic
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—42no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—81no—
1635C4—81no—
1636C4—81no—
1637C4—81no—
1638C4—81no—
1639C4—81no—
1640C4—81no—
1641C4—81no—
1642C4—81no—
1643C4—81no—
1644C4—81no—
1645C4#348811yescharacteristic
1646C4#349611yescharacteristic
1647C4#351311yescharacteristic
1648C4#351411yescharacteristic
1649C2—24no—
1650C2—42no—
1651C2—42no—
1652C2—42no—
1653C2—81no—
1654C2—82no—
1655C2—161no—
1656C2—161no—
1657C2—161no—
1658C2#3576111yescharacteristic
1659C2C2×#305511yescharacteristic
1660C2#6045811yescharacteristic
1661C2#6159111yescharacteristic
1662C2#6160611yescharacteristic
1663C2#6172711yescharacteristic
1664C2#6173311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3318C2semidirect
2. C2×#2974C2semidirect
3. #36157C2semidirect
4. D4×#121C2semidirect
5. #29851C2semidirect
6. #29742C2semidirect
7. #29732C2semidirect
8. #28609C2semidirect
9. #28237C2semidirect
10. #28110C2semidirect
11. #28097C2semidirect
12. #25396C2semidirect
13. #25351C2semidirect
14. #25263C2semidirect
15. #25238C2semidirect
16. #25132C2semidirect
17. #25108C2semidirect
18. #24792C2semidirect
19. #24780C2semidirect
20. #24704C2semidirect
21. #24650C2semidirect
22. #24557C2semidirect
23. #24555C2semidirect
24. #24384C2semidirect
25. #24378C2semidirect
26. #23708C2semidirect
27. #23480C2semidirect
28. C2×#2033C2semidirect
29. #22661C2semidirect
30. #22493C2semidirect
31. #22423C2semidirect
39. C2×#490C22semidirect
40. C2×#481C22semidirect
41. C2×#482C22semidirect
42. C2×#478C22semidirect
43. C2×#469C22semidirect
44. C2×#469C22semidirect
45. C2×#469C22semidirect
46. C2×#466C22semidirect
47. C2×#466C22semidirect
48. C2×#466C22semidirect
49. C2×#459C22semidirect
50. C2×#447C22semidirect
51. C2×#447C22semidirect
53. C2×#442C22semidirect
54. C2×#436C22semidirect
55. C2×#436C22semidirect
58. C2×#435C22semidirect
59. C2×#435C22semidirect
60. C2×C8×D4C22semidirect
61. C2×C8×D4C22semidirect
62. C2×#432C22semidirect
63. C2×#431C22semidirect
64. C2×#428C22semidirect
65. C22×#107C22semidirect
66. C2×#418C22semidirect
67. C2×#418C22semidirect
68. C22×#102C22semidirect
69. C22×#102C22semidirect
70. C2×#407C22semidirect
71. C2×#407C22semidirect
72. C22×C22⋊C8C22semidirect
73. C22×C22⋊C8C22semidirect
75. #2851C22semidirect
78. #2847C22semidirect
79. #2847C22semidirect
80. #2562C22semidirect
83. #2535C22semidirect
84. #2487C22semidirect
85. #2485C22semidirect
97. #2416C22semidirect
98. #2414C22semidirect
110. C4×#121C22semidirect
111. #2280C22semidirect
112. C2×#380C22semidirect
113. #2088C22semidirect
114. #2077C22semidirect
115. #2077C22semidirect
116. #2077C22semidirect
117. #2076C22semidirect
118. #2076C22semidirect
119. #2067C22semidirect
120. #2067C22semidirect
121. #2067C22semidirect
122. #2065C22semidirect
123. #2065C22semidirect
124. #2065C22semidirect
125. #2054C22semidirect
127. #2034C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2033C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2033C22semidirect
149. #1999C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1992C22semidirect
154. #1989C22semidirect
155. #1982C22semidirect
156. #1970C22semidirect
157. #1970C22semidirect
158. #1961C22semidirect
159. #1949C22semidirect
160. #1947C22semidirect
161. #1942C22semidirect
162. #1941C22semidirect
163. #1934C22semidirect
164. #1934C22semidirect
165. #1934C22semidirect
166. #1934C22semidirect
167. #1895C22semidirect
168. #1895C22semidirect
169. #1895C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1893C22semidirect
176. #1893C22semidirect
177. #1893C22semidirect
178. #1893C22semidirect
179. #1875C22semidirect
180. #1874C22semidirect
181. #1874C22semidirect
182. #1874C22semidirect
183. #1854C22semidirect
184. #1853C22semidirect
185. #1852C22semidirect
186. #1852C22semidirect
187. #1847C22semidirect
188. #1825C22semidirect
189. #1824C22semidirect
190. #1809C22semidirect
191. #1809C22semidirect
192. #1809C22semidirect
193. #1808C22semidirect
194. #1807C22semidirect
195. #1807C22semidirect
196. #1804C22semidirect
197. #1802C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1776C22semidirect
201. #1762C22semidirect
202. #1762C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
322. #435D4semidirect
632. C2×M16C2×D4semidirect
644. C22×C8C2×D4semidirect
856. C4⋊C8C2×D4semidirect
893. C22⋊C8C2×D4semidirect
894. C22⋊C8C2×D4semidirect
896. #97C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C2×#29742
#361572
D4×#1212
#298512
#297422
#297322
#286092
#282372
#281102
#280972
#253962
#253512
#252632
#252382
#251322
#251082
#247922
#247802
#247042
#246502
#245572
#245552
#243842
#243782
#237082
#234802
C2×#20332
#226612
#224932
#224232