Finite Group Databasebeta

← #7054332

Subgroups — #7054332

Order 512.

2625 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3318C211yesmaximal, characteristic, complemented
2C2×#3187C211yesmaximal, characteristic, complemented
3#58997C211yesmaximal, characteristic, complemented
4#39722C211yesmaximal, characteristic, complemented
5#31199C211yesmaximal, characteristic, complemented
6#30911C211yesmaximal, characteristic, complemented
7#30847C211yesmaximal, characteristic, complemented
8#30729C211yesmaximal, characteristic, complemented
9#30716C211yesmaximal, characteristic, complemented
10#30547C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#28932C211yesmaximal, characteristic, complemented
14#28493C211yesmaximal, characteristic, complemented
15#26800C211yesmaximal, characteristic, complemented
16#26632C211yesmaximal, characteristic, complemented
17#25783C211yesmaximal, characteristic, complemented
18#25763C211yesmaximal, characteristic, complemented
19#25537C211yesmaximal, characteristic, complemented
20#25421C211yesmaximal, characteristic, complemented
21#25130C211yesmaximal, characteristic, complemented
22#25120C211yesmaximal, characteristic, complemented
23#25090C211yesmaximal, characteristic, complemented
24#24478C211yesmaximal, characteristic, complemented
25#24448C211yesmaximal, characteristic, complemented
26#24378C211yesmaximal, characteristic, complemented
27#24378C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29C2×#2000C211yesmaximal, characteristic, complemented
30#22936C211yesmaximal, characteristic, complemented
31#22844C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic, complemented
33C2×#553C2211yescharacteristic, complemented
34C2×D42—21no—
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic, complemented
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40#3318—28no—
41#3187—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#496C2211yescharacteristic, complemented
44C2×#490C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic
46C2×#481C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic, complemented
48C2×#483C2211yescharacteristic, complemented
49C2×#483C2211yescharacteristic, complemented
50C2×#478C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#466C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic, complemented
58C2×#465C2211yescharacteristic, complemented
59C2×#465C2211yescharacteristic, complemented
60C2×#465C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#459C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic
64C2×#448C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#442C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76C22×#103C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78C22×C22⋊C8C2211yescharacteristic, complemented
79C22×C22⋊C8C2211yescharacteristic, complemented
80#2847C2211yescharacteristic, complemented
81#2723—21no—
82#2723—21no—
83#2696—21no—
84#2696—21no—
85#2675—21no—
86#2669—21no—
87#2617—21no—
88#2541C2211yescharacteristic
89#2540C2211yescharacteristic, complemented
90#2540C2211yescharacteristic, complemented
91#2504—21no—
92#2489C2211yescharacteristic, complemented
93#2489C2211yescharacteristic, complemented
94#2487—21no—
95#2436C2211yescharacteristic, complemented
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic
98#2428C2211yescharacteristic
99#2428C2211yescharacteristic
100#2427C2211yescharacteristic, complemented
101#2427C2211yescharacteristic, complemented
102#2424—21no—
103#2424—21no—
104#2416C2211yescharacteristic
105#2416C2211yescharacteristic
106#2415C2211yescharacteristic, complemented
107#2415C2211yescharacteristic, complemented
108#2410—21no—
109#2410—21no—
110#2409C2211yescharacteristic, complemented
111#2408C2211yescharacteristic
112#2403—21no—
113#2361C2211yescharacteristic
114#2361C2211yescharacteristic
115#2345C2211yescharacteristic, complemented
116#2321—21no—
117C4×#120C2211yescharacteristic
118#2068C2211yescharacteristic, complemented
119#2068C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1973C2211yescharacteristic, complemented
163#1973C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1944C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1935C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1920C2211yescharacteristic, complemented
175#1919C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1893C2211yescharacteristic
178#1893C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1874C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1869C2211yescharacteristic, complemented
190#1869C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1852C2211yescharacteristic, complemented
195#1852C2211yescharacteristic, 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×Q8C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4C2311yescharacteristic
214C22×SD16—42no—
215C22×SD16—42no—
216C22×SD16—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234#553—24no—
235#553—42no—
236D42—24no—
237D42—42no—
238D42—42no—
239D42—48no—
240D42—42no—
241C2×#127—21no—
242C2×#127C2311yescharacteristic
243C2×#127C2311yescharacteristic
244C2×#127C2311yescharacteristic
245C2×#126—21no—
246C2×#125C2311yescharacteristic
247C2×#124C2311yescharacteristic
248C2×#124C2311yescharacteristic
249C2×#123—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8—24no—
253C2×C22⋊Q8—42no—
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
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—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—24no—
272C2×#121—42no—
273C2×#121—42no—
274C2×#121—42no—
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×#120—21no—
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×#120D411yescharacteristic
300C2×C4×D4—21no—
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4—21no—
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317#496—42no—
318#496—42no—
319#490—24no—
320#483—24no—
321#483—24no—
322#482—24no—
323#481—24no—
324#481D418yescomplemented
325#478—24no—
326#469—24no—
327#468—42no—
328#466—24no—
329#466—42no—
330#466—42no—
331#466—42no—
332#465—24no—
333#465—24no—
334#465—24no—
335#465—24no—
336#463—42no—
337#459—24no—
338#450—24no—
339#450—24no—
340#450—42no—
341#450—42no—
342#448—24no—
343#448—24no—
344#447—24no—
345#447—24no—
346#447—42no—
347#442—24no—
348#435—24no—
349#435—42no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#107C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×#106C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361#418—24no—
362C2×#103—42no—
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#102—24no—
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×C22⋊C8—24no—
397C2×C22⋊C8—42no—
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×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×#97C2311yescharacteristic
411C2×#97C2311yescharacteristic
412#400—21no—
413#400—21no—
414#399—21no—
415#399—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#397—21no—
420#397—21no—
421#397—21no—
422#396—21no—
423#396—21no—
424#395—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#393—21no—
435#393—21no—
436#393—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#391C2311yescharacteristic
449#391C2311yescharacteristic
450#391C2311yescharacteristic
451#391C2311yescharacteristic
452#390—21no—
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#389—21no—
462#389—21no—
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#387—21no—
474#387—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386D411yescharacteristic
490#386D411yescharacteristic
491#386D411yescharacteristic
492#385—21no—
493#385—21no—
494#385—21no—
495#385D411yescharacteristic
496#385D411yescharacteristic
497#385D411yescharacteristic
498#382—21no—
499#382—21no—
500#380—21no—
501#380—21no—
502#380—21no—
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#379—21no—
508#379D411yescharacteristic
509C4×C4⋊C4C2311yescharacteristic
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C22⋊C4—21no—
513C4×C22⋊C4C2311yescharacteristic
514C4×C22⋊C4C2311yescharacteristic
515C4×C22⋊C4C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25C2×D411yescharacteristic
538C22×Q8—21no—
539C22×Q8—22no—
540C22×Q8—22no—
541C22×Q8—41no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8—41no—
545C22×Q8C2411yescharacteristic
546C22×Q8C2411yescharacteristic
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
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—22no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—22no—
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—44no—
589C22×D4—44no—
590C22×D4—44no—
591C22×D4—44no—
592C22×D4—44no—
593C22×D4—44no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—82no—
597C22×D4—82no—
598C22×D4—82no—
599C22×D4—82no—
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C23×C4—21no—
609C23×C4—22no—
610C23×C4—22no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—41no—
618C23×C4—41no—
619C23×C4—41no—
620C23×C4—41no—
621C23×C4C2×D411yescharacteristic
622C23×C4C2×D411yescharacteristic
623C23×C4C2×D411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—416no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×M16—22no—
666C2×M16—41no—
667C2×M16—41no—
668C22×C8—22no—
669C22×C8—22no—
670C22×C8—22no—
671C22×C8—22no—
672C22×C8—22no—
673C22×C8—41no—
674C22×C8—41no—
675C22×C8—41no—
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—41no—
691#127—41no—
692#127—41no—
693#127—41no—
694#127—44no—
695#126—44no—
696#125—22no—
697#125—41no—
698#124—41no—
699#124—41no—
700#124—41no—
701#124—41no—
702#123—44no—
703C22⋊Q8—22no—
704C22⋊Q8—22no—
705C22⋊Q8—22no—
706C22⋊Q8—22no—
707C22⋊Q8—41no—
708C22⋊Q8—41no—
709C22⋊Q8—41no—
710C22⋊Q8—41no—
711C22⋊Q8—44no—
712C22⋊Q8—44no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
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—44no—
747#121—44no—
748#121—44no—
749#121—44no—
750#121—44no—
751#121—41no—
752#121—41no—
753#121—41no—
754#121—41no—
755#121C2×D414yes—
756#120—24no—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—44no—
763#120—44no—
764#120—44no—
765#120—82no—
766#120—82no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—41no—
773C4×D4—41no—
774C4×D4—41no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—44no—
780C4×D4—44no—
781C4×D4—44no—
782#117—22no—
783#117—41no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—22no—
786C2×C4⋊C4—22no—
787C2×C4⋊C4—22no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
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—41no—
803C2×C4⋊C4—41no—
804C2×C4⋊C4—44no—
805C2×C4⋊C4C2×D411yescharacteristic
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2×D414yescomplemented
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
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—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—44no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C42—21no—
874C2×C42—21no—
875C2×C42—21no—
876C2×C42—21no—
877C2×C42C2411yescharacteristic
878C2×C42C2411yescharacteristic
879C2×C42C2411yescharacteristic
880#107—22no—
881#107—22no—
882#107—41no—
883#107—41no—
884#106—22no—
885#106—22no—
886#106C2×D414yescomplemented
887#106C2×D414yescomplemented
888C4⋊C8—22no—
889C4⋊C8—41no—
890C4⋊C8—41no—
891#103—22no—
892#103—22no—
893#103—22no—
894#103—22no—
895#103—22no—
896#103—22no—
897#103—41no—
898#103—41no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
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#102—41no—
921#102C2×D414yescomplemented
922#102C2×D414yescomplemented
923C22⋊C8—22no—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8—22no—
930C22⋊C8—41no—
931C22⋊C8—41no—
932C22⋊C8—41no—
933C22⋊C8C2×D414yescomplemented
934#97—22no—
935#97—22no—
936#97—41no—
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#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95C2×D411yescharacteristic
957#95C2×D411yescharacteristic
958#95C2×D411yescharacteristic
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962C24—22no—
963C24—22no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—41no—
970C24—41no—
971C24—41no—
972C24—41no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24AGL(1,ℤ/8)14yes—
995C24C22×D411yescharacteristic
996C24C22×D411yescharacteristic
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C2×Q8—21no—
1000C2×Q8—21no—
1001C2×Q8—21no—
1002C2×Q8—21no—
1003C2×Q8—21no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—44no—
1012C2×Q8—44no—
1013C2×Q8—42no—
1014C2×Q8—81no—
1015C2×Q8—81no—
1016C2×Q8—82no—
1017C2×Q8—82no—
1018C2×D4—24no—
1019C2×D4—22no—
1020C2×D4—24no—
1021C2×D4—22no—
1022C2×D4—22no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
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—44no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—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—82no—
1102C2×D4—82no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—816no—
1137C2×D4—816no—
1138C2×D4—816no—
1139C2×D4—816no—
1140C2×D4C22×D412yes—
1141C2×D4H(5,𝔽2)12yes—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—24no—
1151C22×C4—22no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—42no—
1187C22×C4—42no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—42no—
1191C22×C4—42no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—82no—
1196C22×C4—82no—
1197C22×C4—82no—
1198C22×C4—82no—
1199C22×C4—81no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4C22×D411yescharacteristic
1210C22×C4C22×D411yescharacteristic
1211C22×C4C22×D411yescharacteristic
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D412yes—
1220C22×C4H(5,𝔽2)12yes—
1221C22×C4C2511yescharacteristic
1222SD16—44no—
1223SD16—44no—
1224SD16—44no—
1225SD16—44no—
1226SD16—82no—
1227SD16—82no—
1228SD16—82no—
1229SD16—82no—
1230D8—44no—
1231D8—82no—
1232D8—82no—
1233D8—82no—
1234M16—82no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
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—44no—
1257C2×C8—82no—
1258C2×C8—82no—
1259C2×C8—82no—
1260C2×C8C22×D412yes—
1261C2×C8C22×D412yes—
1262C2×C8H(5,𝔽2)12yes—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—81no—
1292C4⋊C4—81no—
1293C4⋊C4—81no—
1294C4⋊C4—81no—
1295C4⋊C4C22×D412yes—
1296C4⋊C4C22×D412yes—
1297C4⋊C4C22×D412yes—
1298C4⋊C4H(5,𝔽2)12yes—
1299C22⋊C4—24no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—24no—
1306C22⋊C4—22no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
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—81no—
1340C22⋊C4—81no—
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—
1351C42—21no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—42no—
1358C42—42no—
1359C42—81no—
1360C42—81no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—28no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—22no—
1382C23—22no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—44no—
1388C23—44no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
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—82no—
1423C23—82no—
1424C23—82no—
1425C23—82no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23—84no—
1430C23—84no—
1431C23—84no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—162no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23D4212yes—
1448C23C2×AGL(1,ℤ/8)12yes—
1449C23C2×AGL(1,ℤ/8)12yes—
1450C23C2×AGL(1,ℤ/8)12yes—
1451C23#57712yes—
1452C23C23×D411yescharacteristic
1453Q8—41no—
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—41no—
1458Q8—41no—
1459Q8—41no—
1460Q8—41no—
1461Q8—84no—
1462D4—22no—
1463D4—22no—
1464D4—22no—
1465D4—22no—
1466D4—44no—
1467D4—48no—
1468D4—44no—
1469D4—48no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—84no—
1487D4—82no—
1488D4—84no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—162no—
1502D4—162no—
1503D4—162no—
1504D4—162no—
1505D4—162no—
1506D4—162no—
1507D4—162no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
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—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
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—82no—
1587C2×C4—82no—
1588C2×C4—82no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—162no—
1596C2×C4D4212yes—
1597C2×C4C23×D411yescharacteristic
1598C2×C4C2×H(5,𝔽2)11yescharacteristic
1599C2×C4C2×H(5,𝔽2)11yescharacteristic
1600C2×C4C2×H(5,𝔽2)11yescharacteristic
1601C2×C4C2×H(5,𝔽2)11yescharacteristic
1602C2×C4#58511yescharacteristic
1603C8—22no—
1604C8—22no—
1605C8—22no—
1606C8—41no—
1607C8—41no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—88no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—168no—
1675C22—168no—
1676C22—168no—
1677C22#326514yes—
1678C22C2×D4211yescharacteristic
1679C22#348411yescharacteristic
1680C22#349611yescharacteristic
1681C22C22×AGL(1,ℤ/8)11yescharacteristic
1682C22C2×#57711yescharacteristic
1683C22#358411yescharacteristic
1684C22#358511yescharacteristic
1685C4—22no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—81no—
1700C4—81no—
1701C4—81no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4#348811yescharacteristic
1707C4#349811yescharacteristic
1708C4#353211yescharacteristic
1709C4#354211yescharacteristic
1710C2—24no—
1711C2—42no—
1712C2—42no—
1713C2—81no—
1714C2—82no—
1715C2—82no—
1716C2—161no—
1717C2—161no—
1718C2—161no—
1719C2#4388611yescharacteristic
1720C2C2×#326511yescharacteristic
1721C2#6107411yescharacteristic
1722C2#6157111yescharacteristic
1723C2#6164011yescharacteristic
1724C2#6225311yescharacteristic
1725C2#6230811yescharacteristic
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×#3318C2semidirect
2. C2×#3187C2semidirect
3. #58997C2semidirect
4. #39722C2semidirect
5. #31199C2semidirect
6. #30911C2semidirect
7. #30847C2semidirect
8. #30729C2semidirect
9. #30716C2semidirect
10. #30547C2semidirect
11. #30501C2semidirect
12. #30460C2semidirect
13. #28932C2semidirect
14. #28493C2semidirect
15. #26800C2semidirect
16. #26632C2semidirect
17. #25783C2semidirect
18. #25763C2semidirect
19. #25537C2semidirect
20. #25421C2semidirect
21. #25130C2semidirect
22. #25120C2semidirect
23. #25090C2semidirect
24. #24478C2semidirect
25. #24448C2semidirect
26. #24378C2semidirect
27. #24378C2semidirect
28. #23849C2semidirect
29. C2×#2000C2semidirect
30. #22936C2semidirect
31. #22844C2semidirect
32. C23×SD16C22semidirect
33. C2×#553C22semidirect
37. C22×C22⋊Q8C22semidirect
42. C2×#496C22semidirect
43. C2×#496C22semidirect
44. C2×#490C22semidirect
46. C2×#481C22semidirect
47. C2×#482C22semidirect
48. C2×#483C22semidirect
49. C2×#483C22semidirect
50. C2×#478C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
54. C2×#466C22semidirect
55. C2×#466C22semidirect
56. C2×#466C22semidirect
57. C2×#465C22semidirect
58. C2×#465C22semidirect
59. C2×#465C22semidirect
60. C2×#465C22semidirect
61. C2×#463C22semidirect
62. C2×#459C22semidirect
64. C2×#448C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#447C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#442C22semidirect
73. C2×#435C22semidirect
74. C2×#435C22semidirect
75. C2×#418C22semidirect
76. C22×#103C22semidirect
77. C22×#102C22semidirect
78. C22×C22⋊C8C22semidirect
79. C22×C22⋊C8C22semidirect
80. #2847C22semidirect
89. #2540C22semidirect
90. #2540C22semidirect
92. #2489C22semidirect
93. #2489C22semidirect
95. #2436C22semidirect
100. #2427C22semidirect
101. #2427C22semidirect
106. #2415C22semidirect
107. #2415C22semidirect
110. #2409C22semidirect
115. #2345C22semidirect
118. #2068C22semidirect
119. #2068C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2042C22semidirect
126. #2041C22semidirect
127. #2041C22semidirect
128. #2036C22semidirect
129. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2025C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1982C22semidirect
161. #1973C22semidirect
162. #1973C22semidirect
163. #1973C22semidirect
164. #1955C22semidirect
165. #1944C22semidirect
166. #1936C22semidirect
167. #1935C22semidirect
168. #1928C22semidirect
169. #1926C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1920C22semidirect
175. #1919C22semidirect
176. #1894C22semidirect
178. #1893C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1879C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1877C22semidirect
185. #1875C22semidirect
186. #1874C22semidirect
187. #1874C22semidirect
188. #1870C22semidirect
189. #1869C22semidirect
190. #1869C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1854C22semidirect
194. #1852C22semidirect
195. #1852C22semidirect
196. #1850C22semidirect
197. #1850C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1776C22semidirect
201. #1762C22semidirect
202. #1752C22semidirect
203. #1752C22semidirect
204. C2×#340C22semidirect
324. #481D4semidirect
808. C2×C4⋊C4C2×D4semidirect
886. #106C2×D4semidirect
887. #106C2×D4semidirect
921. #102C2×D4semidirect
922. #102C2×D4semidirect
933. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33182
C2×#31872
#589972
#397222
#311992
#309112
#308472
#307292
#307162
#305472
#305012
#304602
#289322
#284932
#268002
#266322
#257832
#257632
#255372
#254212
#251302
#251202
#250902
#244782
#244482
#243782
#238492
C2×#20002
#229362
#228442