Finite Group Databasebeta

← #6668047

Subgroups — #6668047

Order 512.

2896 conjugacy classes of subgroups.

The subgroup lattice has 1778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3198C211yesmaximal, characteristic, complemented
2C2×#3005C211yesmaximal, characteristic, complemented
3#37658C211yesmaximal, characteristic, complemented
4#35251C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31063C211yesmaximal, characteristic, complemented
7#31057C211yesmaximal, characteristic, complemented
8#31045C211yesmaximal, characteristic, complemented
9#31022C211yesmaximal, characteristic, complemented
10#30512C211yesmaximal, characteristic, complemented
11#30503C211yesmaximal, characteristic, complemented
12#30417C211yesmaximal, characteristic, complemented
13#30402C211yesmaximal, characteristic, complemented
14#29729C211yesmaximal, characteristic, complemented
15#29608C211yesmaximal, characteristic, complemented
16#28327C211yesmaximal, characteristic, complemented
17#28127C211yesmaximal, characteristic, complemented
18#25132C211yesmaximal, characteristic, complemented
19#25122C211yesmaximal, characteristic, complemented
20#24890C211yesmaximal, characteristic, complemented
21#24888C211yesmaximal, characteristic, complemented
22#24558C211yesmaximal, characteristic, complemented
23#24395C211yesmaximal, characteristic, complemented
24#24276C211yesmaximal, characteristic, complemented
25#24275C211yesmaximal, characteristic, complemented
26#24007C211yesmaximal, characteristic, complemented
27#23924C211yesmaximal, characteristic, complemented
28#23862C211yesmaximal, characteristic, complemented
29#23861C211yesmaximal, characteristic, complemented
30#22400C211yesmaximal, characteristic, complemented
31#22053C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic, complemented
39C2×#525C2211yescharacteristic
40C2×#525C2211yescharacteristic
41#3198—28no—
42C2×#484C2211yescharacteristic, complemented
43C2×#481C2211yescharacteristic, complemented
44C2×#485C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic, complemented
50C2×#466C2211yescharacteristic, complemented
51C2×#465C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53#3005—28no—
54C2×#452C2211yescharacteristic, complemented
55C2×#452C2211yescharacteristic, complemented
56C2×#452C2211yescharacteristic, complemented
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic
66C2×#448C2211yescharacteristic
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#419C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76C2×#408C2211yescharacteristic, complemented
77C2×#407C2211yescharacteristic, complemented
78#2848—21no—
79#2847—21no—
80#2847C2211yescharacteristic
81#2679—21no—
82#2678—21no—
83#2672—21no—
84#2669—21no—
85#2620C2211yescharacteristic, complemented
86#2616—21no—
87#2616C2211yescharacteristic, complemented
88#2615—21no—
89#2540C2211yescharacteristic, complemented
90#2537C2211yescharacteristic, complemented
91#2461—21no—
92#2445—21no—
93#2430—21no—
94#2430—21no—
95#2424—21no—
96#2418—21no—
97#2415C2211yescharacteristic, complemented
98#2414C2211yescharacteristic
99#2410—21no—
100#2410—21no—
101#2409C2211yescharacteristic
102#2409C2211yescharacteristic, complemented
103#2408C2211yescharacteristic
104#2408C2211yescharacteristic, complemented
105#2408C2211yescharacteristic, complemented
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2407C2211yescharacteristic, complemented
110#2407C2211yescharacteristic, complemented
111#2354C2211yescharacteristic
112#2324C2211yescharacteristic, complemented
113#2311C2211yescharacteristic, complemented
114#2311C2211yescharacteristic, complemented
115C2×#380C2211yescharacteristic, complemented
116#2095C2211yescharacteristic, complemented
117#2093C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2072C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2066C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2015C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1973C2211yescharacteristic, complemented
158#1972C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1969C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1935C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1927C2211yescharacteristic, complemented
167#1927C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic
172#1895C2211yescharacteristic, complemented
173#1892C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1875C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1823C2211yescharacteristic, complemented
191#1809C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1787C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1780C2211yescharacteristic, complemented
203#1779C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4—21no—
224C24×C4C2311yescharacteristic
225C2×#137—24no—
226C2×#137—42no—
227C2×#137—42no—
228C2×AGL(1,ℤ/8)—24no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×M16C2311yescharacteristic
244C22×M16C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C23×C8C2311yescharacteristic
247#546—42no—
248#546—42no—
249#537—24no—
250#537—42no—
251#537—42no—
252#537—42no—
253#535—24no—
254#535—42no—
255C2×#127—21no—
256C2×#124—21no—
257C2×#124C2311yescharacteristic
258#525—24no—
259#525—42no—
260#525—42no—
261#525—42no—
262C2×#123—21no—
263C2×#123—21no—
264C2×#123D411yescharacteristic
265C2×#123D411yescharacteristic
266C2×C22⋊Q8—21no—
267C2×C22⋊Q8—21no—
268C2×C22⋊Q8D411yescharacteristic
269C2×C22⋊Q8D411yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121D411yescharacteristic
287C2×#121D411yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120D411yescharacteristic
308C2×#120D411yescharacteristic
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C2×#117C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C22⋊C4—21no—
322C22×C22⋊C4—21no—
323#485—24no—
324#484—42no—
325#482—24no—
326#481—24no—
327#480—24no—
328#470—42no—
329#469—24no—
330#468—24no—
331#466—24no—
332#465—24no—
333#465—42no—
334#452—24no—
335#452—24no—
336#452—24no—
337#452—24no—
338#450—24no—
339#450—42no—
340#449—24no—
341#449—24no—
342#449—24no—
343#449—24no—
344#449—42no—
345#449—42no—
346#449—42no—
347#449D418yescomplemented
348#448—42no—
349#447—24no—
350#447—42no—
351#447—42no—
352#436—42no—
353#435—42no—
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364#419—24no—
365#418—24no—
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×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398#408—24no—
399#407—24no—
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×#97C2311yescharacteristic
417C2×C4×C8C2311yescharacteristic
418#399—21no—
419#397—21no—
420#396—21no—
421#396—21no—
422#395—21no—
423#395—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#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#393—21no—
443#393—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#389—21no—
471#389C2311yescharacteristic
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—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#386—21no—
490#386—21no—
491#386—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385—21no—
499#385—21no—
500#384C2311yescharacteristic
501#380—21no—
502#380—21no—
503#380—21no—
504#380—21no—
505#380—21no—
506#380—21no—
507#380—21no—
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#380C2311yescharacteristic
515#380C2311yescharacteristic
516#380C2311yescharacteristic
517#379—21no—
518#379—21no—
519#379—21no—
520C4×C4⋊C4—21no—
521C4×C4⋊C4C2311yescharacteristic
522C2×#95—21no—
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#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—44no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—44no—
577C2×#41—44no—
578C2×#41—44no—
579C2×#41—44no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—44no—
583C2×#41—416no—
584C2×#41—416no—
585C2×#41—416no—
586C2×#41—416no—
587C2×#41C2×D414yes—
588C22×Q8—21no—
589C22×Q8—22no—
590C22×Q8—22no—
591C22×Q8—22no—
592C22×Q8—22no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8C2×D411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×Q8C2411yescharacteristic
599C22×D4—22no—
600C22×D4—22no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—22no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—22no—
621C22×D4—22no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4—44no—
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2×D411yescharacteristic
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—22no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—22no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4—44no—
659C23×C4—44no—
660C23×C4—44no—
661C23×C4C2×D411yescharacteristic
662C23×C4C2×D411yescharacteristic
663C23×C4C2×D411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669#137—416no—
670AGL(1,ℤ/8)—416no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—22no—
674C2×Q16—41no—
675C2×Q16—41no—
676C2×Q16—41no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16C2×D414yes—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8C2×D414yes—
707C2×M16—22no—
708C2×M16—22no—
709C2×M16—22no—
710C2×M16—22no—
711C2×M16—22no—
712C2×M16—41no—
713C2×M16—41no—
714C2×M16—41no—
715C2×M16—41no—
716C22×C8—22no—
717C22×C8—41no—
718C22×C8—41no—
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727#127—44no—
728#124—41no—
729#124—41no—
730#124—44no—
731#123—42no—
732#123—42no—
733#123—44no—
734#123—44no—
735C22⋊Q8—22no—
736C22⋊Q8—22no—
737C22⋊Q8—22no—
738C22⋊Q8—22no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—42no—
743C22⋊Q8—42no—
744C22⋊Q8—41no—
745C22⋊Q8—41no—
746C22⋊Q8—41no—
747C22⋊Q8—41no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—44no—
752C22⋊Q8—44no—
753C22⋊Q8—41no—
754C22⋊Q8—41no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—42no—
768#121—44no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—42no—
777#121—44no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121—41no—
784#121—41no—
785#121—82no—
786#121C2×D414yes—
787#120—42no—
788#120—42no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—82no—
794#120—82no—
795#120—82no—
796#120—82no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—44no—
808C4×D4—44no—
809#117—22no—
810#117—22no—
811#117—41no—
812#117—41no—
813#117—41no—
814#117—41no—
815C2×C4⋊C4—22no—
816C2×C4⋊C4—22no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—41no—
831C2×C4⋊C4—41no—
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2×D411yescharacteristic
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4—82no—
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42C2411yescharacteristic
908C2×C42C2411yescharacteristic
909#107—22no—
910#107—22no—
911#107—41no—
912#107—41no—
913#106—22no—
914#106—22no—
915#106—41no—
916#106—41no—
917C4⋊C8—41no—
918C4⋊C8—41no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—22no—
923#103—22no—
924#103—41no—
925#103—41no—
926#103—41no—
927#103—41no—
928#103—41no—
929#103—41no—
930#103—41no—
931#103—41no—
932#103C2×D414yes—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102C2×D414yes—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8C2×D414yes—
967#97—41no—
968C4×C8—41no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990C24—21no—
991C24—21no—
992C24—21no—
993C24—22no—
994C24—22no—
995C24—21no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—41no—
1000C24—41no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24—81no—
1013C24—81no—
1014C24—81no—
1015C24C22×D411yescharacteristic
1016C24C22×D411yescharacteristic
1017C24C22×D411yescharacteristic
1018C24C22×D411yescharacteristic
1019C24C22×D411yescharacteristic
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—44no—
1034#41—44no—
1035#41—44no—
1036#41—432no—
1037#41—432no—
1038#41—44no—
1039#41—44no—
1040#41—82no—
1041#41—82no—
1042#41—82no—
1043#41—82no—
1044#41—82no—
1045#41—82no—
1046C2×Q8—22no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—28no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—41no—
1065C2×Q8—41no—
1066C2×Q8—42no—
1067C2×Q8—42no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—44no—
1071C2×Q8—42no—
1072C2×Q8C22×D412yes—
1073C2×Q8H(5,𝔽2)12yes—
1074C2×D4—28no—
1075C2×D4—24no—
1076C2×D4—24no—
1077C2×D4—22no—
1078C2×D4—22no—
1079C2×D4—24no—
1080C2×D4—22no—
1081C2×D4—22no—
1082C2×D4—22no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—44no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—432no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—81no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4C22×D412yes—
1180C2×D4C22×D412yes—
1181C2×D4H(5,𝔽2)12yes—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—432no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D412yes—
1271C22×C4H(5,𝔽2)12yes—
1272C22×C4H(5,𝔽2)12yes—
1273C22×C4H(5,𝔽2)12yes—
1274C22×C4C2511yescharacteristic
1275Q16—44no—
1276Q16—44no—
1277SD16—44no—
1278SD16—44no—
1279SD16—44no—
1280SD16—44no—
1281SD16—82no—
1282SD16—82no—
1283D8—44no—
1284D8—44no—
1285D8—82no—
1286D8—82no—
1287M16—44no—
1288M16—44no—
1289M16—82no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—82no—
1313C2×C8C22×D412yes—
1314C2×C8C22×D412yes—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—81no—
1348C4⋊C4—81no—
1349C4⋊C4—81no—
1350C4⋊C4—81no—
1351C4⋊C4C22×D412yes—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—24no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—21no—
1411C42—42no—
1412C42—42no—
1413C42—81no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—22no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—21no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—44no—
1451C23—48no—
1452C23—44no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—82no—
1479C23—82no—
1480C23—82no—
1481C23—84no—
1482C23—84no—
1483C23—82no—
1484C23—82no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23—84no—
1491C23—162no—
1492C23—162no—
1493C23—162no—
1494C23—162no—
1495C23—162no—
1496C23#53412yes—
1497C23D4212yes—
1498C23C23×D411yescharacteristic
1499Q8—22no—
1500Q8—22no—
1501Q8—22no—
1502Q8—22no—
1503Q8—48no—
1504Q8—41no—
1505Q8—41no—
1506Q8—41no—
1507Q8—41no—
1508Q8—41no—
1509Q8—41no—
1510Q8—41no—
1511Q8—41no—
1512Q8—82no—
1513D4—22no—
1514D4—22no—
1515D4—22no—
1516D4—22no—
1517D4—22no—
1518D4—22no—
1519D4—48no—
1520D4—48no—
1521D4—48no—
1522D4—48no—
1523D4—48no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—82no—
1535D4—82no—
1536D4—82no—
1537D4—82no—
1538D4—82no—
1539D4—84no—
1540D4—82no—
1541D4—82no—
1542D4—84no—
1543D4—84no—
1544D4—84no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4—162no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—84no—
1644C2×C4—162no—
1645C2×C4—162no—
1646C2×C4—162no—
1647C2×C4#53412yes—
1648C2×C4D4212yes—
1649C2×C4C23×D411yescharacteristic
1650C2×C4C2×H(5,𝔽2)11yescharacteristic
1651C2×C4C2×H(5,𝔽2)11yescharacteristic
1652C2×C4C2×H(5,𝔽2)11yescharacteristic
1653C2×C4C2×H(5,𝔽2)11yescharacteristic
1654C2×C4C2×H(5,𝔽2)11yescharacteristic
1655C8—22no—
1656C8—22no—
1657C8—41no—
1658C8—41no—
1659C8—41no—
1660C8—41no—
1661C8—41no—
1662C8—41no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—42no—
1691C22—41no—
1692C22—41no—
1693C22—42no—
1694C22—42no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—42no—
1699C22—41no—
1700C22—41no—
1701C22—42no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—88no—
1708C22—816no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—168no—
1729C22C2×#53411yescharacteristic
1730C22C2×D4211yescharacteristic
1731C22#348411yescharacteristic
1732C22#358411yescharacteristic
1733C22#358511yescharacteristic
1734C22#358511yescharacteristic
1735C22#358611yescharacteristic
1736C4—22no—
1737C4—22no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—42no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4—81no—
1754C4—81no—
1755C4—81no—
1756C4—81no—
1757C4#348411yescharacteristic
1758C4#348411yescharacteristic
1759C4#353211yescharacteristic
1760C4#353211yescharacteristic
1761C2—42no—
1762C2—42no—
1763C2—81no—
1764C2—81no—
1765C2—81no—
1766C2—82no—
1767C2—82no—
1768C2—82no—
1769C2—161no—
1770C2#3764411yescharacteristic
1771C2#6075511yescharacteristic
1772C2#6076011yescharacteristic
1773C2#6106311yescharacteristic
1774C2#6107311yescharacteristic
1775C2#6162511yescharacteristic
1776C2#6165611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3198C2semidirect
2. C2×#3005C2semidirect
3. #37658C2semidirect
4. #35251C2semidirect
5. #32880C2semidirect
6. #31063C2semidirect
7. #31057C2semidirect
8. #31045C2semidirect
9. #31022C2semidirect
10. #30512C2semidirect
11. #30503C2semidirect
12. #30417C2semidirect
13. #30402C2semidirect
14. #29729C2semidirect
15. #29608C2semidirect
16. #28327C2semidirect
17. #28127C2semidirect
18. #25132C2semidirect
19. #25122C2semidirect
20. #24890C2semidirect
21. #24888C2semidirect
22. #24558C2semidirect
23. #24395C2semidirect
24. #24276C2semidirect
25. #24275C2semidirect
26. #24007C2semidirect
27. #23924C2semidirect
28. #23862C2semidirect
29. #23861C2semidirect
30. #22400C2semidirect
31. #22053C2semidirect
32. C23×#41C22semidirect
38. C2×#535C22semidirect
42. C2×#484C22semidirect
43. C2×#481C22semidirect
44. C2×#485C22semidirect
45. C2×#482C22semidirect
46. C2×#480C22semidirect
47. C2×#470C22semidirect
48. C2×#469C22semidirect
49. C2×#468C22semidirect
50. C2×#466C22semidirect
51. C2×#465C22semidirect
52. C2×#465C22semidirect
54. C2×#452C22semidirect
55. C2×#452C22semidirect
56. C2×#452C22semidirect
57. C2×#452C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#436C22semidirect
73. C2×#435C22semidirect
74. C2×#419C22semidirect
75. C2×#418C22semidirect
76. C2×#408C22semidirect
77. C2×#407C22semidirect
85. #2620C22semidirect
87. #2616C22semidirect
89. #2540C22semidirect
90. #2537C22semidirect
97. #2415C22semidirect
102. #2409C22semidirect
104. #2408C22semidirect
105. #2408C22semidirect
109. #2407C22semidirect
110. #2407C22semidirect
112. #2324C22semidirect
113. #2311C22semidirect
114. #2311C22semidirect
115. C2×#380C22semidirect
116. #2095C22semidirect
117. #2093C22semidirect
118. #2076C22semidirect
119. #2076C22semidirect
120. #2072C22semidirect
121. #2071C22semidirect
122. #2066C22semidirect
123. #2065C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2035C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2015C22semidirect
143. #2015C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2001C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1973C22semidirect
158. #1972C22semidirect
159. #1970C22semidirect
160. #1969C22semidirect
161. #1968C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1935C22semidirect
165. #1934C22semidirect
166. #1927C22semidirect
167. #1927C22semidirect
168. #1926C22semidirect
169. #1926C22semidirect
172. #1895C22semidirect
173. #1892C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1873C22semidirect
182. #1872C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1853C22semidirect
190. #1823C22semidirect
191. #1809C22semidirect
192. #1809C22semidirect
193. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1787C22semidirect
201. #1786C22semidirect
202. #1780C22semidirect
203. #1779C22semidirect
204. #1750C22semidirect
347. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31982
C2×#30052
#376582
#352512
#328802
#310632
#310572
#310452
#310222
#305122
#305032
#304172
#304022
#297292
#296082
#283272
#281272
#251322
#251222
#248902
#248882
#245582
#243952
#242762
#242752
#240072
#239242
#238622
#238612
#224002
#220532