Finite Group Databasebeta

← #6993996

Subgroups — #6993996

Order 512.

2664 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3188C211yesmaximal, characteristic, complemented
3#58997C211yesmaximal, characteristic, complemented
4#39884C211yesmaximal, characteristic, complemented
5#31026C211yesmaximal, characteristic, complemented
6#31000C211yesmaximal, characteristic, complemented
7#30848C211yesmaximal, characteristic, complemented
8#30589C211yesmaximal, characteristic, complemented
9#30579C211yesmaximal, characteristic, complemented
10#30505C211yesmaximal, characteristic, complemented
11#30456C211yesmaximal, characteristic, complemented
12#30408C211yesmaximal, characteristic, complemented
13#28365C211yesmaximal, characteristic, complemented
14#26961C211yesmaximal, characteristic, complemented
15#26945C211yesmaximal, characteristic, complemented
16#26547C211yesmaximal, characteristic, complemented
17#25410C211yesmaximal, characteristic, complemented
18#25402C211yesmaximal, characteristic, complemented
19#25257C211yesmaximal, characteristic, complemented
20#25216C211yesmaximal, characteristic, complemented
21#24454C211yesmaximal, characteristic, complemented
22#24385C211yesmaximal, characteristic, complemented
23#24379C211yesmaximal, characteristic, complemented
24#24370C211yesmaximal, characteristic, complemented
25#24275C211yesmaximal, characteristic, complemented
26#24240C211yesmaximal, characteristic, complemented
27#24044C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23391C211yesmaximal, characteristic, complemented
30#22883C211yesmaximal, characteristic, complemented
31#22848C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×#547C2211yescharacteristic, complemented
35C2×D42—21no—
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#525C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41#3272—28no—
42#3188—28no—
43C2×#492C2211yescharacteristic, complemented
44C2×#484C2211yescharacteristic, complemented
45C2×#481C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic
47C2×#482C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#466C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57C2×#460C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#461C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×C4×SD16C2211yescharacteristic, complemented
71C2×C4×D8C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#417C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76C2×#407C2211yescharacteristic, complemented
77C22×C22⋊C8C2211yescharacteristic, complemented
78#2848C2211yescharacteristic, complemented
79#2724—21no—
80#2701—21no—
81#2697—21no—
82#2678—21no—
83#2675—21no—
84#2669—21no—
85#2630—21no—
86#2602—21no—
87#2579—21no—
88#2541C2211yescharacteristic
89#2538C2211yescharacteristic, complemented
90#2536C2211yescharacteristic, complemented
91#2499C2211yescharacteristic, complemented
92#2485C2211yescharacteristic, complemented
93#2433C2211yescharacteristic
94#2433C2211yescharacteristic
95#2429C2211yescharacteristic, complemented
96#2429C2211yescharacteristic, complemented
97#2428C2211yescharacteristic
98#2428C2211yescharacteristic
99#2424—21no—
100#2424—21no—
101#2422C2211yescharacteristic, complemented
102#2420C2211yescharacteristic, complemented
103#2416C2211yescharacteristic
104#2416C2211yescharacteristic
105#2410—21no—
106#2410—21no—
107#2408C2211yescharacteristic
108#2407C2211yescharacteristic, complemented
109#2407C2211yescharacteristic, complemented
110#2403—21no—
111#2361C2211yescharacteristic
112#2361C2211yescharacteristic
113#2341C2211yescharacteristic, complemented
114#2322—21no—
115C4×#120C2211yescharacteristic
116#2093C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2086C2211yescharacteristic, complemented
119#2083C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2073C2211yescharacteristic, complemented
122#2066C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2043C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2034C2211yescharacteristic
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1968C2211yescharacteristic, complemented
159#1961C2211yescharacteristic, complemented
160#1957C2211yescharacteristic, complemented
161#1954C2211yescharacteristic, complemented
162#1949C2211yescharacteristic, complemented
163#1941C2211yescharacteristic, complemented
164#1934C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1928C2211yescharacteristic, complemented
167#1926C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1893C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1869C2211yescharacteristic, complemented
186#1865C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1852C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1850C2211yescharacteristic, complemented
194#1809C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1763C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203C8×C22⋊C4C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4C2311yescharacteristic
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C2×AGL(1,ℤ/8)—42no—
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C23×C8C2311yescharacteristic
237C23×C8C2311yescharacteristic
238#547—24no—
239#547—42no—
240D42—24no—
241D42—42no—
242D42—42no—
243D42—48no—
244D42—42no—
245C2×C4⋊Q8C2311yescharacteristic
246C2×#127—21no—
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250#525—24no—
251#525—42no—
252C2×#123—21no—
253C2×#123—21no—
254C2×#123—21no—
255C2×#123—21no—
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
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—21no—
272C2×#121—21no—
273C2×#121—24no—
274C2×#121—42no—
275C2×#121—42no—
276C2×#121—42no—
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×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×#117C2311yescharacteristic
313C22×C4⋊C4—21no—
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C22⋊C4—21no—
317C22×C22⋊C4—21no—
318#492—24no—
319#484—24no—
320#482—24no—
321#482—24no—
322#481—24no—
323#468—24no—
324#468—24no—
325#468—42no—
326#466—24no—
327#466—24no—
328#465—24no—
329#465—24no—
330#465—42no—
331#465—42no—
332#461—24no—
333#460—42no—
334#460—42no—
335#459—24no—
336#450—24no—
337#450—24no—
338#450—24no—
339#450—42no—
340#449—24no—
341#449—24no—
342#449—42no—
343#449D418yescomplemented
344#447—24no—
345C4×SD16—42no—
346C4×D8—24no—
347#436—24no—
348#435—42no—
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360#418—42no—
361#417—42no—
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
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
394#407—42no—
395C2×C22⋊C8—24no—
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409C2×C4×C8C2311yescharacteristic
410#398—21no—
411#398—21no—
412#398—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#396—21no—
419#396—21no—
420#396—21no—
421#396—21no—
422#396—21no—
423#396—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#391C2311yescharacteristic
447#391C2311yescharacteristic
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#389—21no—
459#389—21no—
460#389—21no—
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#387—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#386D411yescharacteristic
485#386D411yescharacteristic
486#386D411yescharacteristic
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385D411yescharacteristic
496#385D411yescharacteristic
497#385D411yescharacteristic
498#384C2311yescharacteristic
499#382C2311yescharacteristic
500#381—21no—
501#380—21no—
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#379—21no—
509#379—21no—
510#379D411yescharacteristic
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
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41C2×D414yescomplemented
550C22×Q8C2411yescharacteristic
551C22×Q8C2411yescharacteristic
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—22no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—22no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—44no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—44no—
599C22×D4—44no—
600C22×D4—44no—
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
613C23×C4—21no—
614C23×C4—22no—
615C23×C4—22no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—41no—
623C23×C4—41no—
624C23×C4—41no—
625C23×C4—41no—
626C23×C4C2×D411yescharacteristic
627C23×C4C2×D411yescharacteristic
628C23×C4C2×D411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633AGL(1,ℤ/8)—416no—
634AGL(1,ℤ/8)—416no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×SD16—41no—
649C2×SD16—41no—
650C2×SD16—41no—
651C2×SD16—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16C2×D414yescomplemented
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—22no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8C2×D414yescomplemented
671C2×M16—22no—
672C2×M16—22no—
673C2×M16—22no—
674C2×M16—22no—
675C2×M16—22no—
676C2×M16—41no—
677C2×M16—41no—
678C2×M16—41no—
679C2×M16—41no—
680C22×C8—22no—
681C22×C8—22no—
682C22×C8—41no—
683C22×C8—41no—
684C22×C8—41no—
685C22×C8—41no—
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C22×C8C2411yescharacteristic
692C22×C8C2411yescharacteristic
693C22×C8C2411yescharacteristic
694C4⋊Q8—22no—
695C4⋊Q8—41no—
696#127—22no—
697#127—22no—
698#127—41no—
699#127—41no—
700#127—41no—
701#127—41no—
702#127—44no—
703#123—44no—
704#123—44no—
705#123—44no—
706#123—44no—
707C22⋊Q8—22no—
708C22⋊Q8—22no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—22no—
712C22⋊Q8—41no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
717C22⋊Q8—41no—
718C22⋊Q8—41no—
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—22no—
732#121—44no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—41no—
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—44no—
752#121—44no—
753#121C2×D414yes—
754#120—24no—
755#120—44no—
756#120—44no—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—44no—
763#120—82no—
764#120—82no—
765C4×Q8—41no—
766C4×Q8—41no—
767C4×Q8—41no—
768C4×Q8—41no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—22no—
773C4×D4—22no—
774C4×D4—41no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—44no—
782C4×D4—44no—
783C4×D4—44no—
784C4×D4—44no—
785#117—22no—
786#117—22no—
787C2×C4⋊C4—22no—
788C2×C4⋊C4—22no—
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—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—41no—
808C2×C4⋊C4—41no—
809C2×C4⋊C4—44no—
810C2×C4⋊C4C2×D411yescharacteristic
811C2×C4⋊C4C2×D411yescharacteristic
812C2×C4⋊C4C2×D411yescharacteristic
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×C4⋊C4C2411yescharacteristic
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C42—21no—
877C2×C42—21no—
878C2×C42—21no—
879C2×C42—21no—
880C2×C42C2411yescharacteristic
881C2×C42C2411yescharacteristic
882C2×C42C2411yescharacteristic
883#107—22no—
884#107—22no—
885#107—22no—
886#107—41no—
887#106—22no—
888#106—22no—
889#106—22no—
890#106—41no—
891C4⋊C8—22no—
892C4⋊C8—22no—
893C4⋊C8—41no—
894#103—22no—
895#103—22no—
896#103—22no—
897#103—22no—
898#103—41no—
899#103—41no—
900#103—41no—
901#103C2×D414yescomplemented
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—22no—
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#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102C2×D414yescomplemented
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8—22no—
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—41no—
933C22⋊C8—41no—
934C22⋊C8—41no—
935C22⋊C8—41no—
936C22⋊C8C2×D414yescomplemented
937#97—41no—
938C4×C8—22no—
939C4×C8—41no—
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#95—21no—
957#95C2×D411yescharacteristic
958#95C2×D411yescharacteristic
959#95C2×D411yescharacteristic
960#95C2×D411yescharacteristic
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963C24—21no—
964C24—21no—
965C24—21no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—21no—
970C24—21no—
971C24—41no—
972C24—41no—
973C24—41no—
974C24—41no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24C22×D411yescharacteristic
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000#41—44no—
1001#41—44no—
1002#41—44no—
1003#41—82no—
1004#41—82no—
1005#41—82no—
1006#41—82no—
1007#41—82no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8C22×D412yes—
1020C2×D4—24no—
1021C2×D4—22no—
1022C2×D4—24no—
1023C2×D4—22no—
1024C2×D4—24no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—22no—
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—44no—
1056C2×D4—44no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
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—44no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—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—82no—
1103C2×D4—82no—
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—81no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—816no—
1138C2×D4—816no—
1139C2×D4—816no—
1140C2×D4—816no—
1141C2×D4C22×D412yes—
1142C2×D4C22×D412yes—
1143C2×D4H(5,𝔽2)12yes—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
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—24no—
1172C22×C4—22no—
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—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
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—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—82no—
1199C22×C4—82no—
1200C22×C4—82no—
1201C22×C4—82no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
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×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4H(5,𝔽2)12yes—
1223C22×C4C2511yescharacteristic
1224SD16—44no—
1225SD16—44no—
1226SD16—44no—
1227SD16—44no—
1228SD16—44no—
1229SD16—82no—
1230SD16—82no—
1231SD16—82no—
1232D8—28no—
1233D8—44no—
1234D8—44no—
1235D8—82no—
1236M16—44no—
1237M16—44no—
1238M16—82no—
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—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—82no—
1261C2×C8—82no—
1262C2×C8C22×D412yes—
1263C2×C8C22×D412yes—
1264C2×C8H(5,𝔽2)12yes—
1265C4⋊C4—22no—
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—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—81no—
1297C4⋊C4—81no—
1298C4⋊C4—81no—
1299C4⋊C4—81no—
1300C4⋊C4—81no—
1301C4⋊C4—81no—
1302C4⋊C4C22×D412yes—
1303C4⋊C4H(5,𝔽2)12yes—
1304C22⋊C4—24no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—24no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4AGL(1,ℤ/8)14yescomplemented
1356C42—21no—
1357C42—21no—
1358C42—21no—
1359C42—21no—
1360C42—21no—
1361C42—21no—
1362C42—42no—
1363C42—42no—
1364C42—81no—
1365C42—81no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—82no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—162no—
1445C23—162no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
1452C23—162no—
1453C23—162no—
1454C23D4212yes—
1455C23C2×AGL(1,ℤ/8)12yes—
1456C23#57712yes—
1457C23C23×D411yescharacteristic
1458Q8—22no—
1459Q8—22no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466D4—22no—
1467D4—22no—
1468D4—22no—
1469D4—22no—
1470D4—22no—
1471D4—22no—
1472D4—44no—
1473D4—44no—
1474D4—48no—
1475D4—48no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—82no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—162no—
1509D4—162no—
1510D4—162no—
1511D4—162no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
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—21no—
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—41no—
1587C2×C4—41no—
1588C2×C4—82no—
1589C2×C4—82no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—82no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—84no—
1598C2×C4D4212yes—
1599C2×C4C2×AGL(1,ℤ/8)12yes—
1600C2×C4C2×AGL(1,ℤ/8)12yes—
1601C2×C4C23×D411yescharacteristic
1602C2×C4C2×H(5,𝔽2)11yescharacteristic
1603C2×C4C2×H(5,𝔽2)11yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C2×C4C2×H(5,𝔽2)11yescharacteristic
1606C2×C4#58511yescharacteristic
1607C8—22no—
1608C8—22no—
1609C8—22no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—42no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—42no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—88no—
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—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—168no—
1680C22—168no—
1681C22—168no—
1682C22C2×D4211yescharacteristic
1683C22#348411yescharacteristic
1684C22#349611yescharacteristic
1685C22C22×AGL(1,ℤ/8)11yescharacteristic
1686C22C2×#57711yescharacteristic
1687C22#358411yescharacteristic
1688C22#358511yescharacteristic
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—81no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4#348411yescharacteristic
1711C4#349611yescharacteristic
1712C4#353411yescharacteristic
1713C4#354311yescharacteristic
1714C2—42no—
1715C2—42no—
1716C2—42no—
1717C2—81no—
1718C2—82no—
1719C2—82no—
1720C2—82no—
1721C2—161no—
1722C2—161no—
1723C2#4299611yescharacteristic
1724C2#6105511yescharacteristic
1725C2D4×AGL(1,ℤ/8)11yescharacteristic
1726C2#6160011yescharacteristic
1727C2#6162811yescharacteristic
1728C2#6225911yescharacteristic
1729C2#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×#3272C2semidirect
2. C2×#3188C2semidirect
3. #58997C2semidirect
4. #39884C2semidirect
5. #31026C2semidirect
6. #31000C2semidirect
7. #30848C2semidirect
8. #30589C2semidirect
9. #30579C2semidirect
10. #30505C2semidirect
11. #30456C2semidirect
12. #30408C2semidirect
13. #28365C2semidirect
14. #26961C2semidirect
15. #26945C2semidirect
16. #26547C2semidirect
17. #25410C2semidirect
18. #25402C2semidirect
19. #25257C2semidirect
20. #25216C2semidirect
21. #24454C2semidirect
22. #24385C2semidirect
23. #24379C2semidirect
24. #24370C2semidirect
25. #24275C2semidirect
26. #24240C2semidirect
27. #24044C2semidirect
28. #23860C2semidirect
29. #23391C2semidirect
30. #22883C2semidirect
31. #22848C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C2×#547C22semidirect
38. C2×#525C22semidirect
43. C2×#492C22semidirect
44. C2×#484C22semidirect
45. C2×#481C22semidirect
47. C2×#482C22semidirect
49. C2×#468C22semidirect
50. C2×#468C22semidirect
51. C2×#466C22semidirect
52. C2×#466C22semidirect
53. C2×#465C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
56. C2×#465C22semidirect
57. C2×#460C22semidirect
58. C2×#460C22semidirect
59. C2×#461C22semidirect
60. C2×#459C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#447C22semidirect
70. C2×C4×SD16C22semidirect
71. C2×C4×D8C22semidirect
72. C2×#436C22semidirect
73. C2×#435C22semidirect
74. C2×#417C22semidirect
75. C2×#418C22semidirect
76. C2×#407C22semidirect
77. C22×C22⋊C8C22semidirect
78. #2848C22semidirect
89. #2538C22semidirect
90. #2536C22semidirect
91. #2499C22semidirect
92. #2485C22semidirect
95. #2429C22semidirect
96. #2429C22semidirect
101. #2422C22semidirect
102. #2420C22semidirect
108. #2407C22semidirect
109. #2407C22semidirect
113. #2341C22semidirect
116. #2093C22semidirect
117. #2092C22semidirect
118. #2086C22semidirect
119. #2083C22semidirect
120. #2077C22semidirect
121. #2073C22semidirect
122. #2066C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2043C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2036C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2013C22semidirect
141. #2011C22semidirect
142. #2011C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1972C22semidirect
158. #1968C22semidirect
159. #1961C22semidirect
160. #1957C22semidirect
161. #1954C22semidirect
162. #1949C22semidirect
163. #1941C22semidirect
164. #1934C22semidirect
165. #1934C22semidirect
166. #1928C22semidirect
167. #1926C22semidirect
168. #1924C22semidirect
169. #1923C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1893C22semidirect
174. #1893C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1877C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1869C22semidirect
186. #1865C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1853C22semidirect
191. #1852C22semidirect
192. #1851C22semidirect
193. #1850C22semidirect
194. #1809C22semidirect
195. #1802C22semidirect
196. #1788C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1763C22semidirect
202. #1753C22semidirect
203. C8×C22⋊C4C22semidirect
204. #1736C22semidirect
343. #449D4semidirect
549. C2×#41C2×D4semidirect
658. C2×SD16C2×D4semidirect
670. C2×D8C2×D4semidirect
901. #103C2×D4semidirect
925. #102C2×D4semidirect
936. C22⋊C8C2×D4semidirect
1355. C22⋊C4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#32722
C2×#31882
#589972
#398842
#310262
#310002
#308482
#305892
#305792
#305052
#304562
#304082
#283652
#269612
#269452
#265472
#254102
#254022
#252572
#252162
#244542
#243852
#243792
#243702
#242752
#242402
#240442
#238602
#233912
#228832
#228482