Finite Group Databasebeta

← #6535649

Subgroups — #6535649

Order 512.

2591 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3275C211yesmaximal, characteristic, complemented
2C2×#2974C211yesmaximal, characteristic, complemented
3#36097C211yesmaximal, characteristic, complemented
4#36096C211yesmaximal, characteristic, complemented
5#29809C211yesmaximal, characteristic, complemented
6#29743C211yesmaximal, characteristic, complemented
7#29742C211yesmaximal, characteristic, complemented
8#28558C211yesmaximal, characteristic, complemented
9#28557C211yesmaximal, characteristic, complemented
10#28483C211yesmaximal, characteristic, complemented
11#28144C211yesmaximal, characteristic, complemented
12#25389C211yesmaximal, characteristic, complemented
13#25388C211yesmaximal, characteristic, complemented
14#25123C211yesmaximal, characteristic, complemented
15#25122C211yesmaximal, characteristic, complemented
16#25121C211yesmaximal, characteristic, complemented
17#25120C211yesmaximal, characteristic, complemented
18#24657C211yesmaximal, characteristic, complemented
19#24656C211yesmaximal, characteristic, complemented
20#24383C211yesmaximal, characteristic, complemented
21#24382C211yesmaximal, characteristic, complemented
22#24381C211yesmaximal, characteristic, complemented
23#24379C211yesmaximal, characteristic, complemented
24#24275C211yesmaximal, characteristic, complemented
25#24274C211yesmaximal, characteristic, complemented
26#23700C211yesmaximal, characteristic, complemented
27#23392C211yesmaximal, characteristic, complemented
28#23391C211yesmaximal, characteristic, complemented
29#22714C211yesmaximal, characteristic, complemented
30#22429C211yesmaximal, characteristic, complemented
31#22427C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×#548C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#525C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41#3275—28no—
42C2×#495C2211yescharacteristic, complemented
43C2×#470C2211yescharacteristic, complemented
44C2×#469C2211yescharacteristic, complemented
45C2×#467C2211yescharacteristic, complemented
46C2×#466C2211yescharacteristic, complemented
47C2×#465C2211yescharacteristic, complemented
48C2×#465C2211yescharacteristic, complemented
49C2×#465C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53C2×#464C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#452C2211yescharacteristic, complemented
56C2×#449C2211yescharacteristic, complemented
57C2×#448C2211yescharacteristic, complemented
58C2×#450C2211yescharacteristic, complemented
59#2974—28no—
60C2×C4×SD16C2211yescharacteristic, complemented
61C2×#436C2211yescharacteristic
62C2×#436C2211yescharacteristic
63C2×#435C2211yescharacteristic
64C2×#435C2211yescharacteristic
65C2×#435C2211yescharacteristic, complemented
66C2×#435C2211yescharacteristic, complemented
67C2×C8×D4C2211yescharacteristic, complemented
68C2×C8×D4C2211yescharacteristic, complemented
69C2×#432C2211yescharacteristic, complemented
70C2×#431C2211yescharacteristic, complemented
71C2×#417C2211yescharacteristic, complemented
72C2×#417C2211yescharacteristic, complemented
73C2×#419C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic, complemented
75C2×#407C2211yescharacteristic
76C2×#407C2211yescharacteristic, complemented
77C22×C22⋊C8C2211yescharacteristic
78C22×C22⋊C8C2211yescharacteristic, complemented
79#2850C2211yescharacteristic
80#2850C2211yescharacteristic, complemented
81#2848C2211yescharacteristic
82#2848C2211yescharacteristic
83#2847C2211yescharacteristic
84#2847C2211yescharacteristic, complemented
85#2540C2211yescharacteristic
86#2540C2211yescharacteristic, complemented
87#2536C2211yescharacteristic, complemented
88#2535C2211yescharacteristic
89#2472—21no—
90#2464—21no—
91#2463—21no—
92#2461—21no—
93#2456—21no—
94#2449—21no—
95#2443—21no—
96#2443—21no—
97#2424—21no—
98#2418—21no—
99#2417C2211yescharacteristic
100#2416C2211yescharacteristic, complemented
101#2415C2211yescharacteristic
102#2414C2211yescharacteristic
103#2410—21no—
104#2409C2211yescharacteristic, complemented
105#2408C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2403—21no—
109#2361—21no—
110#2358—21no—
111#2358—21no—
112#2352C2211yescharacteristic
113#2352C2211yescharacteristic
114D4×C22⋊C4—21no—
115C4×C22⋊Q8C2211yescharacteristic, complemented
116C4×#121C2211yescharacteristic
117#2088C2211yescharacteristic, complemented
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2001C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2001C2211yescharacteristic, complemented
142#2001C2211yescharacteristic, complemented
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1983C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1973C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1971C2211yescharacteristic, complemented
163#1958C2211yescharacteristic, complemented
164#1958C2211yescharacteristic, complemented
165#1949C2211yescharacteristic, complemented
166#1949C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1936C2211yescharacteristic, complemented
169#1935C2211yescharacteristic, complemented
170#1935C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1894C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1893C2211yescharacteristic, complemented
179#1892C2211yescharacteristic, complemented
180#1892C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1892C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1873C2211yescharacteristic, complemented
186#1872C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1835C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1805C2211yescharacteristic, complemented
195#1804C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200C4×#106C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4—21no—
209C23×D4D411yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C24×C4C2311yescharacteristic
213C2×#137—24no—
214C2×#137—42no—
215C2×#137—42no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C22×Q16C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C23×C8C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#548—24no—
237#548—24no—
238#546—24no—
239#546—24no—
240C2×#124—21no—
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243#525—42no—
244#525—42no—
245#525—42no—
246#525—42no—
247C2×#123—21no—
248C2×#123—21no—
249C2×#123—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8—42no—
254C2×C22⋊Q8—42no—
255C2×C22⋊Q8C2311yescharacteristic
256C2×C22⋊Q8C2311yescharacteristic
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—42no—
272C2×#121—42no—
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×C4×Q8C2311yescharacteristic
291C2×C4×D4—24no—
292C2×C4×D4—24no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4D411yescharacteristic
300C2×C4×D4D411yescharacteristic
301C2×C4×D4D411yescharacteristic
302C2×C4×D4D411yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4—21no—
311C22×C4⋊C4D411yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317C22×C22⋊C4D411yescharacteristic
318C22×C22⋊C4D411yescharacteristic
319C22×C42C2311yescharacteristic
320#495—24no—
321#470—24no—
322#469—24no—
323#467—42no—
324#466—42no—
325#465—42no—
326#465—42no—
327#465—42no—
328#465—42no—
329#465—42no—
330#465—42no—
331#464—24no—
332#463—24no—
333#452—24no—
334#450—24no—
335#449—24no—
336#448—24no—
337C4×SD16—24no—
338#436—24no—
339#436D418yescomplemented
340#435—24no—
341#435—24no—
342#435—24no—
343#435—24no—
344C8×D4—24no—
345C8×D4—24no—
346#432—24no—
347#431—24no—
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359#419—42no—
360#418—42no—
361#417—42no—
362#417—42no—
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
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
393#407—24no—
394#407—24no—
395C2×C22⋊C8—24no—
396C2×C22⋊C8—24no—
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×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×#97C2311yescharacteristic
411C2×C4×C8C2311yescharacteristic
412C2×C4×C8C2311yescharacteristic
413#399—21no—
414#399—21no—
415#398—21no—
416#398—21no—
417#397—21no—
418#397—21no—
419#396—21no—
420#396—21no—
421#395—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#393—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#391C2311yescharacteristic
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#389—21no—
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#388—21no—
452#388—21no—
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#387—21no—
463#387—21no—
464#387—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#385—21no—
486#385—21no—
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#382C2311yescharacteristic
496#382C2311yescharacteristic
497#380—21no—
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#379—21no—
509#379—21no—
510#379—21no—
511C4×C4⋊C4—21no—
512C4×C4⋊C4C2311yescharacteristic
513C4×C4⋊C4C2311yescharacteristic
514C4×C22⋊C4—21no—
515C4×C22⋊C4—21no—
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536C25—21no—
537C25C2×D411yescharacteristic
538C25C2×D411yescharacteristic
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C22×Q8—21no—
552C22×Q8—22no—
553C22×Q8—22no—
554C22×Q8—22no—
555C22×Q8—41no—
556C22×Q8—41no—
557C22×Q8—41no—
558C22×Q8C2411yescharacteristic
559C22×Q8C2411yescharacteristic
560C22×Q8C2411yescharacteristic
561C22×D4—21no—
562C22×D4—24no—
563C22×D4—22no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—22no—
577C22×D4—21no—
578C22×D4—22no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—42no—
583C22×D4—42no—
584C22×D4—44no—
585C22×D4—44no—
586C22×D4—82no—
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2×D411yescharacteristic
590C22×D4C2×D411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C22×D4C2411yescharacteristic
594C23×C4—22no—
595C23×C4—22no—
596C23×C4—22no—
597C23×C4—22no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—41no—
605C23×C4—41no—
606C23×C4—41no—
607C23×C4—41no—
608C23×C4—41no—
609C23×C4—41no—
610C23×C4—41no—
611C23×C4—41no—
612C23×C4C2×D411yescharacteristic
613C23×C4C2×D411yescharacteristic
614C23×C4C2×D411yescharacteristic
615C23×C4C2×D411yescharacteristic
616C23×C4C2×D411yescharacteristic
617C23×C4C2×D411yescharacteristic
618C23×C4C2×D411yescharacteristic
619C23×C4C2×D411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625#137—416no—
626AGL(1,ℤ/8)—416no—
627C2×Q16—22no—
628C2×Q16—22no—
629C2×Q16—22no—
630C2×Q16—41no—
631C2×Q16—41no—
632C2×Q16—41no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—41no—
647C2×SD16—41no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×M16—22no—
655C2×M16—22no—
656C2×M16—41no—
657C2×M16—41no—
658C2×M16—41no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16—41no—
662C2×M16—41no—
663C2×M16—41no—
664C2×M16C2×D414yes—
665C2×M16C2×D414yescomplemented
666C22×C8—22no—
667C22×C8—22no—
668C22×C8—22no—
669C22×C8—22no—
670C22×C8—41no—
671C22×C8—41no—
672C22×C8—41no—
673C22×C8—41no—
674C22×C8—41no—
675C22×C8—41no—
676C22×C8—41no—
677C22×C8—41no—
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686#124—22no—
687#124—22no—
688#124—22no—
689#124—22no—
690#124—44no—
691#123—44no—
692#123—44no—
693#123—44no—
694C22⋊Q8—22no—
695C22⋊Q8—22no—
696C22⋊Q8—22no—
697C22⋊Q8—22no—
698C22⋊Q8—22no—
699C22⋊Q8—22no—
700C22⋊Q8—22no—
701C22⋊Q8—22no—
702C22⋊Q8—22no—
703C22⋊Q8—22no—
704C22⋊Q8—44no—
705C22⋊Q8—41no—
706C22⋊Q8—41no—
707C22⋊Q8—41no—
708C22⋊Q8—41no—
709C22⋊Q8—41no—
710C22⋊Q8—41no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—44no—
714C22⋊Q8—44no—
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—44no—
730#121—41no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—41no—
738#121—44no—
739#121—44no—
740#121—44no—
741#121—44no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—41no—
746#120—44no—
747#120—44no—
748#120—44no—
749#120—44no—
750#120—44no—
751#120—82no—
752C4×Q8—22no—
753C4×Q8—22no—
754C4×D4—24no—
755C4×D4—22no—
756C4×D4—22no—
757C4×D4—22no—
758C4×D4—22no—
759C4×D4—24no—
760C4×D4—24no—
761C4×D4—24no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—44no—
767C4×D4—44no—
768C4×D4—44no—
769C4×D4—44no—
770C4×D4—44no—
771C4×D4—82no—
772C4×D4C2×D414yes—
773C4×D4#4114yes—
774#117—22no—
775#117—22no—
776#117—41no—
777#117—41no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—24no—
780C2×C4⋊C4—22no—
781C2×C4⋊C4—22no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—41no—
798C2×C4⋊C4—41no—
799C2×C4⋊C4—44no—
800C2×C4⋊C4C2×D411yescharacteristic
801C2×C4⋊C4C2×D411yescharacteristic
802C2×C4⋊C4C2×D411yescharacteristic
803C2×C4⋊C4C2×D411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
808C2×C4⋊C4C2411yescharacteristic
809C2×C4⋊C4C2411yescharacteristic
810C2×C4⋊C4C2411yescharacteristic
811C2×C4⋊C4C2411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—24no—
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—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—44no—
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×C42—22no—
873C2×C42—22no—
874C2×C42—21no—
875C2×C42—21no—
876C2×C42—21no—
877C2×C42—21no—
878C2×C42—21no—
879C2×C42C2×D411yescharacteristic
880C2×C42C2×D411yescharacteristic
881C2×C42C2411yescharacteristic
882C2×C42C2411yescharacteristic
883#107—41no—
884#107—41no—
885#106—22no—
886#106—22no—
887#106—22no—
888#106—41no—
889#106—41no—
890C4⋊C8—22no—
891C4⋊C8—22no—
892C4⋊C8—22no—
893C4⋊C8C2×D414yescomplemented
894#103—22no—
895#103—22no—
896#103—22no—
897#103—22no—
898#103—22no—
899#103—22no—
900#103—22no—
901#103—41no—
902#103—41no—
903#103—41no—
904#103—41no—
905#103—41no—
906#103—41no—
907#103—41no—
908#103—41no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—22no—
927C22⋊C8—22no—
928C22⋊C8—22no—
929C22⋊C8—22no—
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—22no—
933C22⋊C8—22no—
934C22⋊C8C2×D414yes—
935C22⋊C8C2×D414yescomplemented
936#97—22no—
937#97—22no—
938C4×C8—22no—
939C4×C8C2×D414yescomplemented
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#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964C24—21no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—21no—
972C24—21no—
973C24—41no—
974C24—41no—
975C24—41no—
976C24—41no—
977C24—41no—
978C24—41no—
979C24—41no—
980C24—41no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24C22×D411yescharacteristic
989C24C22×D411yescharacteristic
990C24C22×D411yescharacteristic
991C24C22×D411yescharacteristic
992C24C22×D411yescharacteristic
993#41—44no—
994#41—44no—
995#41—44no—
996#41—44no—
997#41—82no—
998#41—82no—
999#41—82no—
1000#41—82no—
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—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—42no—
1019C2×Q8—44no—
1020C2×Q8—44no—
1021C2×Q8—42no—
1022C2×Q8—81no—
1023C2×Q8—82no—
1024C2×Q8—82no—
1025C2×Q8H(5,𝔽2)12yes—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—24no—
1029C2×D4—22no—
1030C2×D4—22no—
1031C2×D4—22no—
1032C2×D4—22no—
1033C2×D4—22no—
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—44no—
1052C2×D4—44no—
1053C2×D4—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—416no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—82no—
1087C2×D4—82no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—816no—
1102C2×D4#12114yes—
1103C2×D4H(5,𝔽2)12yes—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—22no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
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—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—82no—
1179C22×C4—82no—
1180C22×C4—82no—
1181C22×C4—82no—
1182C22×C4—82no—
1183C22×C4—82no—
1184C22×C4—82no—
1185C22×C4—82no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4—81no—
1190C22×C4—81no—
1191C22×C4—81no—
1192C22×C4—81no—
1193C22×C4C22×D411yescharacteristic
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D411yescharacteristic
1202C22×C4C22×D412yes—
1203C22×C4C22×D412yes—
1204C22×C4C2×#4112yes—
1205C22×C4C2×#4112yes—
1206C22×C4C2511yescharacteristic
1207Q16—44no—
1208Q16—44no—
1209SD16—28no—
1210SD16—44no—
1211SD16—44no—
1212SD16—82no—
1213SD16—82no—
1214D8—44no—
1215D8—44no—
1216M16—44no—
1217M16—44no—
1218M16—82no—
1219M16—82no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—82no—
1241C2×C8—82no—
1242C2×C8—82no—
1243C2×C8—82no—
1244C2×C8C22×D412yes—
1245C2×C8C22×D412yes—
1246C2×C8C22×D412yes—
1247C2×C8C22×D412yes—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—81no—
1283C4⋊C4—81no—
1284C4⋊C4—81no—
1285C4⋊C4#12114yes—
1286C4⋊C4H(5,𝔽2)12yes—
1287C4⋊C4H(5,𝔽2)12yes—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
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—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4#12114yes—
1340C22⋊C4#12114yes—
1341C42—22no—
1342C42—22no—
1343C42—21no—
1344C42—21no—
1345C42—42no—
1346C42—42no—
1347C42—42no—
1348C42—81no—
1349C42—81no—
1350C42C22×D412yes—
1351C42C2×#4112yes—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
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—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—22no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
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—82no—
1410C23—82no—
1411C23—82no—
1412C23—82no—
1413C23—82no—
1414C23—82no—
1415C23—84no—
1416C23—84no—
1417C23—82no—
1418C23—82no—
1419C23—84no—
1420C23—84no—
1421C23—162no—
1422C23—162no—
1423C23—162no—
1424C23C2×#12112yes—
1425C23C2×#12112yes—
1426C23#57512yes—
1427C23#57512yes—
1428C23#57712yes—
1429C23C23×D411yescharacteristic
1430Q8—22no—
1431Q8—22no—
1432Q8—41no—
1433Q8—41no—
1434Q8—41no—
1435Q8—41no—
1436Q8—41no—
1437Q8—41no—
1438Q8—41no—
1439Q8—41no—
1440Q8—41no—
1441Q8—41no—
1442Q8—84no—
1443D4—28no—
1444D4—22no—
1445D4—22no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—48no—
1450D4—41no—
1451D4—41no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—41no—
1456D4—41no—
1457D4—41no—
1458D4—41no—
1459D4—41no—
1460D4—84no—
1461D4—84no—
1462D4—84no—
1463D4—84no—
1464D4—84no—
1465D4—84no—
1466D4—84no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470D4—162no—
1471D4—162no—
1472D4—162no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—44no—
1508C2×C4—44no—
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—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
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—82no—
1558C2×C4—82no—
1559C2×C4—82no—
1560C2×C4—82no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—82no—
1564C2×C4—82no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—162no—
1569C2×C4C2×#12112yes—
1570C2×C4C2×#12112yes—
1571C2×C4C2×#12112yes—
1572C2×C4C2×#12112yes—
1573C2×C4C23×D411yescharacteristic
1574C2×C4C22×#4111yescharacteristic
1575C2×C4C2×H(5,𝔽2)11yescharacteristic
1576C2×C4C2×H(5,𝔽2)11yescharacteristic
1577C2×C4C2×H(5,𝔽2)11yescharacteristic
1578C2×C4C2×H(5,𝔽2)11yescharacteristic
1579C8—22no—
1580C8—22no—
1581C8—22no—
1582C8—22no—
1583C8—41no—
1584C8—41no—
1585C8—41no—
1586C8—41no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—22no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—88no—
1626C22—88no—
1627C22—81no—
1628C22—81no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—168no—
1646C22C22×#12111yescharacteristic
1647C22#348411yescharacteristic
1648C22#348411yescharacteristic
1649C22C2×#57511yescharacteristic
1650C22C2×#57511yescharacteristic
1651C22C2×#57711yescharacteristic
1652C22#358411yescharacteristic
1653C4—22no—
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—81no—
1666C4—81no—
1667C4—81no—
1668C4—81no—
1669C4—81no—
1670C4—81no—
1671C4—81no—
1672C4—81no—
1673C4—81no—
1674C4—81no—
1675C4#348411yescharacteristic
1676C4#349811yescharacteristic
1677C4#351911yescharacteristic
1678C4#351911yescharacteristic
1679C2—42no—
1680C2—42no—
1681C2—42no—
1682C2—42no—
1683C2—42no—
1684C2—82no—
1685C2—161no—
1686C2—161no—
1687C2#3569111yescharacteristic
1688C2#6044411yescharacteristic
1689C2#6045711yescharacteristic
1690C2#6159411yescharacteristic
1691C2#6159711yescharacteristic
1692C2#6160111yescharacteristic
1693C2#6160611yescharacteristic
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×#3275C2semidirect
2. C2×#2974C2semidirect
3. #36097C2semidirect
4. #36096C2semidirect
5. #29809C2semidirect
6. #29743C2semidirect
7. #29742C2semidirect
8. #28558C2semidirect
9. #28557C2semidirect
10. #28483C2semidirect
11. #28144C2semidirect
12. #25389C2semidirect
13. #25388C2semidirect
14. #25123C2semidirect
15. #25122C2semidirect
16. #25121C2semidirect
17. #25120C2semidirect
18. #24657C2semidirect
19. #24656C2semidirect
20. #24383C2semidirect
21. #24382C2semidirect
22. #24381C2semidirect
23. #24379C2semidirect
24. #24275C2semidirect
25. #24274C2semidirect
26. #23700C2semidirect
27. #23392C2semidirect
28. #23391C2semidirect
29. #22714C2semidirect
30. #22429C2semidirect
31. #22427C2semidirect
32. C22×#137C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
38. C22×C22⋊Q8C22semidirect
42. C2×#495C22semidirect
43. C2×#470C22semidirect
44. C2×#469C22semidirect
45. C2×#467C22semidirect
46. C2×#466C22semidirect
47. C2×#465C22semidirect
48. C2×#465C22semidirect
49. C2×#465C22semidirect
50. C2×#465C22semidirect
51. C2×#465C22semidirect
52. C2×#465C22semidirect
53. C2×#464C22semidirect
54. C2×#463C22semidirect
55. C2×#452C22semidirect
56. C2×#449C22semidirect
57. C2×#448C22semidirect
58. C2×#450C22semidirect
60. C2×C4×SD16C22semidirect
65. C2×#435C22semidirect
66. C2×#435C22semidirect
67. C2×C8×D4C22semidirect
68. C2×C8×D4C22semidirect
69. C2×#432C22semidirect
70. C2×#431C22semidirect
71. C2×#417C22semidirect
72. C2×#417C22semidirect
73. C2×#419C22semidirect
74. C2×#418C22semidirect
76. C2×#407C22semidirect
78. C22×C22⋊C8C22semidirect
80. #2850C22semidirect
84. #2847C22semidirect
86. #2540C22semidirect
87. #2536C22semidirect
100. #2416C22semidirect
104. #2409C22semidirect
115. C4×C22⋊Q8C22semidirect
117. #2088C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2077C22semidirect
121. #2066C22semidirect
122. #2065C22semidirect
123. #2056C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2054C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
132. #2035C22semidirect
135. #2034C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2001C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
142. #2001C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1983C22semidirect
158. #1983C22semidirect
159. #1973C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1971C22semidirect
163. #1958C22semidirect
164. #1958C22semidirect
165. #1949C22semidirect
166. #1949C22semidirect
167. #1936C22semidirect
168. #1936C22semidirect
169. #1935C22semidirect
170. #1935C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1894C22semidirect
175. #1893C22semidirect
176. #1893C22semidirect
177. #1893C22semidirect
178. #1893C22semidirect
179. #1892C22semidirect
180. #1892C22semidirect
181. #1892C22semidirect
182. #1892C22semidirect
183. #1875C22semidirect
184. #1874C22semidirect
185. #1873C22semidirect
186. #1872C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1853C22semidirect
190. #1853C22semidirect
191. #1835C22semidirect
192. #1809C22semidirect
193. #1809C22semidirect
194. #1805C22semidirect
195. #1804C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. C4×#106C22semidirect
201. C4×#103C22semidirect
202. C4×#102C22semidirect
203. #1736C22semidirect
204. #1736C22semidirect
339. #436D4semidirect
665. C2×M16C2×D4semidirect
893. C4⋊C8C2×D4semidirect
935. C22⋊C8C2×D4semidirect
939. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32752
C2×#29742
#360972
#360962
#298092
#297432
#297422
#285582
#285572
#284832
#281442
#253892
#253882
#251232
#251222
#251212
#251202
#246572
#246562
#243832
#243822
#243812
#243792
#242752
#242742
#237002
#233922
#233912
#227142
#224292
#224272