Finite Group Databasebeta

← #6617513

Subgroups — #6617513

Order 512.

3446 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3481C211yesmaximal, characteristic, complemented
2C2×#3401C211yesmaximal, characteristic, complemented
3C2×#3376C211yesmaximal, characteristic, complemented
4#36504C211yesmaximal, characteristic, complemented
5#32910C211yesmaximal, characteristic, complemented
6#32908C211yesmaximal, characteristic, complemented
7#32905C211yesmaximal, characteristic, complemented
8#25769C211yesmaximal, characteristic, complemented
9#25763C211yesmaximal, characteristic, complemented
10#25762C211yesmaximal, characteristic, complemented
11#25604C211yesmaximal, characteristic, complemented
12#25602C211yesmaximal, characteristic, complemented
13#25601C211yesmaximal, characteristic, complemented
14#25582C211yesmaximal, characteristic, complemented
15#25579C211yesmaximal, characteristic, complemented
16#25575C211yesmaximal, characteristic, complemented
17#24257C211yesmaximal, characteristic, complemented
18#24252C211yesmaximal, characteristic, complemented
19#24247C211yesmaximal, characteristic, complemented
20#24160C211yesmaximal, characteristic, complemented
21#24159C211yesmaximal, characteristic, complemented
22#24154C211yesmaximal, characteristic, complemented
23#24136C211yesmaximal, characteristic, complemented
24#24134C211yesmaximal, characteristic, complemented
25#24126C211yesmaximal, characteristic, complemented
26#22549C211yesmaximal, characteristic, complemented
27#22532C211yesmaximal, characteristic, complemented
28#22526C211yesmaximal, characteristic, complemented
29#21457C211yesmaximal, characteristic, complemented
30#21452C211yesmaximal, characteristic, complemented
31C4×#450C211yesmaximal, characteristic, complemented
32#3481—28no—
33#3481—28no—
34C2×#559C2211yescharacteristic
35C2×#556C2211yescharacteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#553—21no—
39C2×#553C2211yescharacteristic
40C2×#553C2211yescharacteristic
41C2×#551—21no—
42C2×#551—21no—
43C2×#546—21no—
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×#532C2211yescharacteristic
48C2×#529—21no—
49C2×#529C2211yescharacteristic
50C2×#529C2211yescharacteristic
51C2×#525—21no—
52C2×#525—21no—
53C2×C4×#41C2211yescharacteristic
54C2×C4×#41C2211yescharacteristic
55C22×C4×D4—21no—
56C22×C4×D4C2211yescharacteristic
57C22×C4×D4C2211yescharacteristic
58#3401—28no—
59#3376—28no—
60C2×#497C2211yescharacteristic, complemented
61C2×#496C2211yescharacteristic
62C2×#495C2211yescharacteristic, complemented
63C2×#491C2211yescharacteristic, complemented
64C2×#489C2211yescharacteristic, complemented
65C2×#488C2211yescharacteristic, complemented
66C2×#479C2211yescharacteristic, complemented
67C2×#475C2211yescharacteristic, complemented
68C2×#478C2211yescharacteristic, complemented
69C2×#464C2211yescharacteristic, complemented
70C2×#464C2211yescharacteristic, complemented
71C2×#460C2211yescharacteristic
72C2×#463C2211yescharacteristic
73C2×#463C2211yescharacteristic
74C2×#463C2211yescharacteristic, complemented
75C2×#463C2211yescharacteristic, complemented
76C2×#461C2211yescharacteristic
77C2×#461C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic
79C2×#452C2211yescharacteristic
80C2×#449C2211yescharacteristic
81C2×#450C2211yescharacteristic
82C2×#450C2211yescharacteristic
83C2×#450C2211yescharacteristic
84C2×#450C2211yescharacteristic
85C2×#447C2211yescharacteristic
86C2×#447C2211yescharacteristic
87C2×#446C2211yescharacteristic, complemented
88C2×#446C2211yescharacteristic, complemented
89C2×#442C2211yescharacteristic
90C2×#442C2211yescharacteristic, complemented
91C2×#441C2211yescharacteristic, complemented
92C2×#440C2211yescharacteristic
93C2×C4×SD16C2211yescharacteristic
94C2×C4×SD16C2211yescharacteristic, complemented
95#2857C2211yescharacteristic, complemented
96#2850C2211yescharacteristic, complemented
97#2850C2211yescharacteristic, complemented
98#2542C2211yescharacteristic, complemented
99#2540C2211yescharacteristic
100#2540C2211yescharacteristic, complemented
101#2537C2211yescharacteristic, complemented
102#2536C2211yescharacteristic
103#2536C2211yescharacteristic, complemented
104#2479—21no—
105#2479—21no—
106#2467—21no—
107#2467—21no—
108#2423—21no—
109#2407—21no—
110#2363—21no—
111#2355C2211yescharacteristic, complemented
112#2354—21no—
113C4×C22⋊Q8C2211yescharacteristic, complemented
114C4×C22⋊Q8C2211yescharacteristic, complemented
115C4×#121C2211yescharacteristic, complemented
116#2035C2211yescharacteristic, complemented
117#2035C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2034C2211yescharacteristic, complemented
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2001C2211yescharacteristic, complemented
123#2001C2211yescharacteristic, complemented
124#2001C2211yescharacteristic, complemented
125#2001C2211yescharacteristic, complemented
126#2000C2211yescharacteristic
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#2000C2211yescharacteristic, complemented
132#2000C2211yescharacteristic, complemented
133#2000C2211yescharacteristic, complemented
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic, complemented
139#1999C2211yescharacteristic, complemented
140#1993C2211yescharacteristic, complemented
141#1992C2211yescharacteristic, complemented
142#1991C2211yescharacteristic, complemented
143#1989C2211yescharacteristic, complemented
144#1989C2211yescharacteristic, complemented
145#1988C2211yescharacteristic, complemented
146#1983C2211yescharacteristic, complemented
147#1983C2211yescharacteristic, complemented
148#1982C2211yescharacteristic
149#1961C2211yescharacteristic
150#1959C2211yescharacteristic, complemented
151#1958C2211yescharacteristic, complemented
152#1955C2211yescharacteristic
153#1955C2211yescharacteristic
154#1955C2211yescharacteristic, complemented
155#1955C2211yescharacteristic, complemented
156#1954C2211yescharacteristic, complemented
157#1954C2211yescharacteristic, complemented
158#1880C2211yescharacteristic, complemented
159#1879C2211yescharacteristic
160#1879C2211yescharacteristic, complemented
161#1879C2211yescharacteristic, complemented
162#1878C2211yescharacteristic, complemented
163#1878C2211yescharacteristic, complemented
164#1877C2211yescharacteristic
165#1877C2211yescharacteristic
166#1877C2211yescharacteristic, complemented
167#1877C2211yescharacteristic, complemented
168#1877C2211yescharacteristic, complemented
169#1877C2211yescharacteristic, complemented
170#1875C2211yescharacteristic, complemented
171#1874C2211yescharacteristic, complemented
172#1874C2211yescharacteristic, complemented
173#1873C2211yescharacteristic, complemented
174#1873C2211yescharacteristic, complemented
175#1872C2211yescharacteristic, complemented
176#1872C2211yescharacteristic, complemented
177#1872C2211yescharacteristic, complemented
178#1872C2211yescharacteristic, complemented
179#1864C2211yescharacteristic
180#1864C2211yescharacteristic, complemented
181#1864C2211yescharacteristic, complemented
182#1863C2211yescharacteristic, complemented
183#1854C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1853C2211yescharacteristic, complemented
186#1805C2211yescharacteristic, complemented
187#1804C2211yescharacteristic
188#1804C2211yescharacteristic
189#1804C2211yescharacteristic, complemented
190#1802C2211yescharacteristic
191#1802C2211yescharacteristic, complemented
192#1797C2211yescharacteristic, complemented
193#1797C2211yescharacteristic, complemented
194#1797C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1763C2211yescharacteristic, complemented
199#1762C2211yescharacteristic
200#1762C2211yescharacteristic
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic
203C4×#102C2211yescharacteristic, complemented
204#1749C2211yescharacteristic, complemented
205#1749C2211yescharacteristic, complemented
206C4×C22⋊C8C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41D411yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C24×C4—21no—
214C24×C4—21no—
215C22×Q16C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227#559—24no—
228#559D418yescomplemented
229#556—24no—
230#556—24no—
231#554—24no—
232#554—24no—
233#554—24no—
234#554D418yescomplemented
235#553—216no—
236#553—24no—
237#553—24no—
238#553—24no—
239#553—24no—
240#551—216no—
241#551—216no—
242#546—216no—
243#546—24no—
244#546—24no—
245#546—24no—
246#546—24no—
247D42—24no—
248D42—24no—
249#532—24no—
250#532—24no—
251C2×C4⋊Q8C2311yescharacteristic
252C2×C4⋊Q8C2311yescharacteristic
253C2×#127C2311yescharacteristic
254#529—216no—
255#529—24no—
256#529—24no—
257#529—24no—
258#529—24no—
259C2×#126—21no—
260C2×#126—21no—
261C2×#126—21no—
262C2×#126—21no—
263C2×#126—21no—
264C2×#126—21no—
265C2×#125—21no—
266C2×#125C2311yescharacteristic
267C2×#125C2311yescharacteristic
268C2×#124—21no—
269C2×#124—21no—
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#124C2311yescharacteristic
274#525—216no—
275#525—216no—
276C2×#123—21no—
277C2×#123—21no—
278C2×#123—21no—
279C2×#123—21no—
280C2×#123—21no—
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×C22⋊Q8—21no—
285C2×C22⋊Q8—21no—
286C2×C22⋊Q8—21no—
287C2×C22⋊Q8—21no—
288C2×C22⋊Q8—21no—
289C2×C22⋊Q8—21no—
290C2×C22⋊Q8C2311yescharacteristic
291C2×C22⋊Q8C2311yescharacteristic
292C2×C22⋊Q8C2311yescharacteristic
293C2×C22⋊Q8C2311yescharacteristic
294C2×C22⋊Q8C2311yescharacteristic
295C2×C22⋊Q8C2311yescharacteristic
296C2×C22⋊Q8C2311yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×#121—21no—
299C2×#121—21no—
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121C2311yescharacteristic
306C2×#121C2311yescharacteristic
307C2×#121C2311yescharacteristic
308C2×#121C2311yescharacteristic
309C2×#121C2311yescharacteristic
310C2×#121C2311yescharacteristic
311C2×#121C2311yescharacteristic
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120—21no—
316C4×#41—24no—
317C4×#41—24no—
318C4×#41—24no—
319C4×#41—24no—
320C2×C4×Q8D411yescharacteristic
321C2×C4×Q8C2311yescharacteristic
322C2×C4×Q8C2311yescharacteristic
323C2×C4×Q8C2311yescharacteristic
324C2×C4×Q8C2311yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×D4—216no—
327C2×C4×D4—21no—
328C2×C4×D4—21no—
329C2×C4×D4—21no—
330C2×C4×D4—21no—
331C2×C4×D4—21no—
332C2×C4×D4—24no—
333C2×C4×D4—24no—
334C2×C4×D4—24no—
335C2×C4×D4—24no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4—21no—
339C2×C4×D4—21no—
340C2×C4×D4—21no—
341C2×C4×D4—21no—
342C2×C4×D4—21no—
343C2×C4×D4—21no—
344C2×C4×D4—21no—
345C2×C4×D4D411yescharacteristic
346C2×C4×D4D411yescharacteristic
347C2×C4×D4D411yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×#117—21no—
361C2×#117—21no—
362C2×#117—21no—
363C2×#117—21no—
364C2×#117D411yescharacteristic
365C2×#117D411yescharacteristic
366C2×#117D411yescharacteristic
367C2×#117C2311yescharacteristic
368C22×C4⋊C4—21no—
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C22⋊C4—21no—
372C22×C22⋊C4—21no—
373C22×C22⋊C4—21no—
374C22×C22⋊C4—21no—
375C22×C42—21no—
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379#497—24no—
380#496—24no—
381#495—24no—
382#491—24no—
383#489—24no—
384#488—24no—
385#479—24no—
386#478—24no—
387#475—24no—
388#464—24no—
389#464—24no—
390#463—24no—
391#463—24no—
392#463—24no—
393#463—24no—
394#461—24no—
395#461—24no—
396#460—24no—
397#452—24no—
398#452—42no—
399#450—24no—
400#450—42no—
401#450—42no—
402#450—42no—
403#449—42no—
404#447—24no—
405#447—42no—
406#446—24no—
407#446—24no—
408#442—24no—
409#442—24no—
410#441—24no—
411#440—24no—
412C4×SD16—24no—
413C4×SD16—24no—
414C2×#107C2311yescharacteristic
415C2×#106C2311yescharacteristic
416C2×#106C2311yescharacteristic
417C2×#106C2311yescharacteristic
418C2×C4⋊C8C2311yescharacteristic
419C2×C4⋊C8C2311yescharacteristic
420C2×C4⋊C8C2311yescharacteristic
421C2×C4⋊C8C2311yescharacteristic
422C2×C4⋊C8C2311yescharacteristic
423C2×C4⋊C8C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#103C2311yescharacteristic
426C2×#103C2311yescharacteristic
427C2×#103C2311yescharacteristic
428C2×#103C2311yescharacteristic
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×#102C2311yescharacteristic
450C2×#102C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×C22⋊C8C2311yescharacteristic
457C2×C22⋊C8C2311yescharacteristic
458C2×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×C22⋊C8C2311yescharacteristic
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×#97C2311yescharacteristic
469C2×#97C2311yescharacteristic
470C2×#97C2311yescharacteristic
471C2×#97C2311yescharacteristic
472C2×C4×C8C2311yescharacteristic
473C2×C4×C8C2311yescharacteristic
474#399—21no—
475#399—21no—
476#399—21no—
477#399—21no—
478#398—21no—
479#398—21no—
480#394—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#392—21no—
485#392—21no—
486#391—21no—
487#391C2311yescharacteristic
488#391C2311yescharacteristic
489#390—21no—
490#390—21no—
491#390—21no—
492#390—21no—
493#390—21no—
494#390C2311yescharacteristic
495#389—21no—
496#389—21no—
497#389C2311yescharacteristic
498#388—21no—
499#388—21no—
500#388—21no—
501#388—21no—
502#388—21no—
503#388—21no—
504#388—21no—
505#388—21no—
506#388—21no—
507#387—21no—
508#387—21no—
509#387—21no—
510#387—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#385—21no—
517#385—21no—
518#384—21no—
519#384C2311yescharacteristic
520#382C2311yescharacteristic
521#382C2311yescharacteristic
522#380—21no—
523#380—21no—
524#380—21no—
525#380C2311yescharacteristic
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528C4×C4⋊C4—21no—
529C4×C4⋊C4—21no—
530C4×C4⋊C4—21no—
531C4×C4⋊C4C2311yescharacteristic
532C4×C4⋊C4C2311yescharacteristic
533C4×C4⋊C4C2311yescharacteristic
534C4×C22⋊C4—21no—
535C4×C22⋊C4—21no—
536C4×C22⋊C4—21no—
537#340C2311yescharacteristic
538#340C2311yescharacteristic
539#340C2311yescharacteristic
540#340C2311yescharacteristic
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557C25—21no—
558C25—21no—
559C2×#41—28no—
560C2×#41—24no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—42no—
566C2×#41—42no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—82no—
570C2×#41—82no—
571C22×Q8—21no—
572C22×Q8C2×D411yescharacteristic
573C22×Q8C2411yescharacteristic
574C22×Q8C2411yescharacteristic
575C22×Q8C2411yescharacteristic
576C22×D4—28no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—22no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—22no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4C2×D411yescharacteristic
604C22×D4C2×D411yescharacteristic
605C22×D4C2×D411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C22×D4C2411yescharacteristic
610C23×C4—28no—
611C23×C4—28no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4—21no—
619C23×C4—21no—
620C23×C4—21no—
621C23×C4—21no—
622C23×C4—21no—
623C23×C4—21no—
624C23×C4—82no—
625C23×C4—82no—
626C23×C4—82no—
627C23×C4—82no—
628C23×C4C2×D411yescharacteristic
629C23×C4C2×D411yescharacteristic
630C23×C4C2×D411yescharacteristic
631C23×C4C2×D411yescharacteristic
632C23×C4C2×D411yescharacteristic
633C23×C4C2×D411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C2×Q16—22no—
638C2×Q16—22no—
639C2×Q16—22no—
640C2×Q16—41no—
641C2×Q16—41no—
642C2×Q16—41no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×D8—22no—
665C2×D8—22no—
666C2×D8—22no—
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C4⋊Q8—22no—
682C4⋊Q8—22no—
683C4⋊Q8—22no—
684C4⋊Q8C2×D414yes—
685#127—22no—
686#127C2×D414yes—
687#126—28no—
688#126—28no—
689#126—28no—
690#126—28no—
691#126—44no—
692#126—44no—
693#125—28no—
694#125—22no—
695#125—22no—
696#125C2×D414yes—
697#125C2×D414yes—
698#124—28no—
699#124—28no—
700#124—22no—
701#124—22no—
702#124—22no—
703#124—22no—
704#124—22no—
705#124—22no—
706#124C2×D414yes—
707#124C2×D414yes—
708#123—28no—
709#123—28no—
710#123—28no—
711#123—28no—
712#123—28no—
713#123—28no—
714#123—28no—
715#123—28no—
716C22⋊Q8—28no—
717C22⋊Q8—28no—
718C22⋊Q8—28no—
719C22⋊Q8—22no—
720C22⋊Q8—22no—
721C22⋊Q8—28no—
722C22⋊Q8—28no—
723C22⋊Q8—22no—
724C22⋊Q8—22no—
725C22⋊Q8—22no—
726C22⋊Q8—22no—
727C22⋊Q8—41no—
728C22⋊Q8—41no—
729C22⋊Q8—44no—
730C22⋊Q8—41no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733C22⋊Q8—41no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—41no—
738#121—28no—
739#121—28no—
740#121—28no—
741#121—28no—
742#121—28no—
743#121—28no—
744#121—22no—
745#121—22no—
746#121—22no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—41no—
754#121—44no—
755#121—41no—
756#121—41no—
757#121—41no—
758#121—41no—
759#120—28no—
760#120—28no—
761#120—28no—
762#120—28no—
763C4×Q8—24no—
764C4×Q8—22no—
765C4×Q8—22no—
766C4×Q8—22no—
767C4×Q8—22no—
768C4×Q8—22no—
769C4×Q8—22no—
770C4×Q8—22no—
771C4×Q8C2×D414yes—
772C4×Q8C2×D414yes—
773C4×Q8C2×D414yes—
774C4×D4—28no—
775C4×D4—28no—
776C4×D4—28no—
777C4×D4—28no—
778C4×D4—28no—
779C4×D4—28no—
780C4×D4—28no—
781C4×D4—28no—
782C4×D4—28no—
783C4×D4—28no—
784C4×D4—28no—
785C4×D4—28no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—24no—
790C4×D4—28no—
791C4×D4—24no—
792C4×D4—24no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—22no—
809C4×D4—44no—
810C4×D4C2×D414yes—
811C4×D4C2×D414yes—
812C4×D4C2×D414yes—
813C4×D4C2×D414yes—
814C4×D4C2×D414yes—
815#117—28no—
816#117—28no—
817#117—28no—
818#117—24no—
819#117—24no—
820#117—24no—
821#117—22no—
822#117—22no—
823#117—44no—
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—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—28no—
836C2×C4⋊C4—22no—
837C2×C4⋊C4—22no—
838C2×C4⋊C4—22no—
839C2×C4⋊C4—22no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—21no—
847C2×C4⋊C4—21no—
848C2×C4⋊C4—21no—
849C2×C4⋊C4—21no—
850C2×C4⋊C4—21no—
851C2×C4⋊C4—21no—
852C2×C4⋊C4—21no—
853C2×C4⋊C4C2×D411yescharacteristic
854C2×C4⋊C4C2×D411yescharacteristic
855C2×C4⋊C4C2×D411yescharacteristic
856C2×C4⋊C4C2×D411yescharacteristic
857C2×C4⋊C4C2×D411yescharacteristic
858C2×C4⋊C4C2×D411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2411yescharacteristic
861C2×C4⋊C4C2411yescharacteristic
862C2×C4⋊C4C2411yescharacteristic
863C2×C4⋊C4C2411yescharacteristic
864C2×C4⋊C4C2411yescharacteristic
865C2×C4⋊C4C2411yescharacteristic
866C2×C4⋊C4C2411yescharacteristic
867C2×C4⋊C4C2411yescharacteristic
868C2×C22⋊C4—28no—
869C2×C22⋊C4—28no—
870C2×C22⋊C4—28no—
871C2×C22⋊C4—28no—
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—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—21no—
900C2×C22⋊C4—21no—
901C2×C22⋊C4—21no—
902C2×C22⋊C4—21no—
903C2×C22⋊C4—21no—
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—21no—
907C2×C22⋊C4—21no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C22⋊C4C2×D411yescharacteristic
913C2×C22⋊C4C2×D411yescharacteristic
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C22⋊C4C2×D411yescharacteristic
916C2×C42—28no—
917C2×C42—21no—
918C2×C42—21no—
919C2×C42—21no—
920C2×C42—22no—
921C2×C42—22no—
922C2×C42—22no—
923C2×C42—22no—
924C2×C42—22no—
925C2×C42—22no—
926C2×C42—21no—
927C2×C42—21no—
928C2×C42—21no—
929C2×C42—21no—
930C2×C42—21no—
931C2×C42C2×D411yescharacteristic
932C2×C42C2×D411yescharacteristic
933C2×C42C2×D411yescharacteristic
934C2×C42C2×D411yescharacteristic
935C2×C42C2×D411yescharacteristic
936C2×C42C2×D411yescharacteristic
937C2×C42C2411yescharacteristic
938C2×C42C2411yescharacteristic
939C2×C42C2411yescharacteristic
940C2×C42C2411yescharacteristic
941#107—22no—
942#106—22no—
943#106—22no—
944#106—22no—
945C4⋊C8—22no—
946C4⋊C8—22no—
947C4⋊C8—22no—
948C4⋊C8—22no—
949C4⋊C8—22no—
950C4⋊C8—22no—
951#103—22no—
952#103—22no—
953#103—22no—
954#103—22no—
955#103—22no—
956#103—22no—
957#103—22no—
958#103—22no—
959#103—22no—
960#103—22no—
961#103—41no—
962#103—41no—
963#103—41no—
964#102—22no—
965#102—22no—
966#102—22no—
967#102—22no—
968#102—22no—
969#102—22no—
970#102—22no—
971#102—22no—
972#102—22no—
973#102—22no—
974#102—22no—
975#102—22no—
976#102—41no—
977#102—41no—
978#102—41no—
979#102—41no—
980#102—41no—
981#102—41no—
982#102#4114yescomplemented
983C22⋊C8—22no—
984C22⋊C8—22no—
985C22⋊C8—22no—
986C22⋊C8—41no—
987C22⋊C8—41no—
988C22⋊C8—41no—
989C22⋊C8—41no—
990C22⋊C8—41no—
991C22⋊C8—41no—
992C22⋊C8—41no—
993C22⋊C8—41no—
994C22⋊C8—41no—
995#97—22no—
996#97—22no—
997#97—22no—
998#97—22no—
999C4×C8—22no—
1000C4×C8—22no—
1001#95—21no—
1002#95—21no—
1003#95—21no—
1004#95—21no—
1005#95—21no—
1006#95—21no—
1007#95—21no—
1008#95—21no—
1009#95—21no—
1010#95—21no—
1011#95—21no—
1012#95—21no—
1013#95—21no—
1014#95—21no—
1015#95—21no—
1016C24—21no—
1017C24—24no—
1018C24—24no—
1019C24—21no—
1020C24—21no—
1021C24—21no—
1022C24—42no—
1023C24—42no—
1024C24—42no—
1025C24—42no—
1026C24—42no—
1027C24—42no—
1028C24—42no—
1029C24—42no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24C22×D411yescharacteristic
1035C24C22×D411yescharacteristic
1036C24C22×D411yescharacteristic
1037#41—44no—
1038#41—44no—
1039#41—416no—
1040#41—44no—
1041#41—44no—
1042#41—816no—
1043C2×Q8—24no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
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—41no—
1062C2×Q8—41no—
1063C2×Q8—81no—
1064C2×Q8—81no—
1065C2×Q8#12014yes—
1066C2×Q8C22×D412yes—
1067C2×D4—22no—
1068C2×D4—22no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—22no—
1075C2×D4—22no—
1076C2×D4—24no—
1077C2×D4—24no—
1078C2×D4—22no—
1079C2×D4—22no—
1080C2×D4—22no—
1081C2×D4—24no—
1082C2×D4—24no—
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—41no—
1103C2×D4—41no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—432no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
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—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4C22×D412yes—
1141C2×D4C22×D412yes—
1142C2×D4C22×D412yes—
1143C2×D4C2×#4112yes—
1144C2×D4H(5,𝔽2)12yes—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—24no—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
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—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—24no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—24no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—816no—
1226C22×C4—816no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D411yescharacteristic
1242C22×C4C2511yescharacteristic
1243Q16—44no—
1244Q16—82no—
1245SD16—44no—
1246SD16—44no—
1247SD16—44no—
1248SD16—82no—
1249SD16—82no—
1250SD16—82no—
1251SD16—82no—
1252D8—44no—
1253D8—44no—
1254D8—82no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8C2×#4112yes—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—81no—
1315C4⋊C4—81no—
1316C4⋊C4—81no—
1317C4⋊C4—81no—
1318C4⋊C4—81no—
1319C4⋊C4#12014yes—
1320C4⋊C4#12014yes—
1321C4⋊C4#12014yes—
1322C4⋊C4C22×D412yes—
1323C4⋊C4C22×D412yes—
1324C4⋊C4C22×D412yes—
1325C4⋊C4C22×D412yes—
1326C4⋊C4C2×#4112yes—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C42—24no—
1372C42—24no—
1373C42—22no—
1374C42—24no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—22no—
1379C42—22no—
1380C42—21no—
1381C42—21no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—81no—
1386C42—81no—
1387C42C22×D412yes—
1388C42C22×D412yes—
1389C42C22×D412yes—
1390C42C22×D412yes—
1391C42C22×D412yes—
1392C42C22×D412yes—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—22no—
1398C23—21no—
1399C23—21no—
1400C23—22no—
1401C23—21no—
1402C23—21no—
1403C23—22no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—48no—
1418C23—48no—
1419C23—48no—
1420C23—48no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23#57512yes—
1455C23#57512yes—
1456C23C23×D411yescharacteristic
1457Q8—22no—
1458Q8—22no—
1459Q8—44no—
1460Q8—41no—
1461Q8—41no—
1462Q8—41no—
1463Q8—41no—
1464Q8—41no—
1465Q8—41no—
1466Q8—41no—
1467Q8—41no—
1468Q8—41no—
1469Q8—41no—
1470Q8—84no—
1471D4—28no—
1472D4—22no—
1473D4—22no—
1474D4—22no—
1475D4—22no—
1476D4—22no—
1477D4—22no—
1478D4—22no—
1479D4—44no—
1480D4—44no—
1481D4—48no—
1482D4—48no—
1483D4—48no—
1484D4—48no—
1485D4—48no—
1486D4—48no—
1487D4—41no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—162no—
1500D4—162no—
1501D4#55014yes—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—48no—
1540C2×C4—48no—
1541C2×C4—48no—
1542C2×C4—48no—
1543C2×C4—44no—
1544C2×C4—48no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—84no—
1591C2×C4—84no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4C2×#12012yes—
1595C2×C4C2×#12012yes—
1596C2×C4C2×#12012yes—
1597C2×C4C2×#12012yes—
1598C2×C4C2×#12012yes—
1599C2×C4C2×#12012yes—
1600C2×C4#57712yes—
1601C2×C4C23×D411yescharacteristic
1602C2×C4C23×D411yescharacteristic
1603C2×C4C22×#4111yescharacteristic
1604C2×C4C2×H(5,𝔽2)11yescharacteristic
1605C2×C4#58511yescharacteristic
1606C2×C4#58511yescharacteristic
1607C8—22no—
1608C8—41no—
1609C8—41no—
1610C8—41no—
1611C8—41no—
1612C8—41no—
1613C8—41no—
1614C8—41no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—24no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—42no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—42no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—41no—
1649C22—816no—
1650C22—816no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22C22×#12011yescharacteristic
1667C22D4×#4111yescharacteristic
1668C22#348811yescharacteristic
1669C22C2×#57511yescharacteristic
1670C22C2×#57511yescharacteristic
1671C22C2×#57711yescharacteristic
1672C22#358511yescharacteristic
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—42no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—41no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4—81no—
1696C4C2×#55011yescharacteristic
1697C4D4×#4111yescharacteristic
1698C4#348711yescharacteristic
1699C4#348811yescharacteristic
1700C2—42no—
1701C2—42no—
1702C2—44no—
1703C2—81no—
1704C2—82no—
1705C2—82no—
1706C2—161no—
1707C2#3642911yescharacteristic
1708C2#6035911yescharacteristic
1709C2#6037311yescharacteristic
1710C2#6144511yescharacteristic
1711C2#6145411yescharacteristic
1712C2#6197111yescharacteristic
1713C2#6197811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3481C2semidirect
2. C2×#3401C2semidirect
3. C2×#3376C2semidirect
4. #36504C2semidirect
5. #32910C2semidirect
6. #32908C2semidirect
7. #32905C2semidirect
8. #25769C2semidirect
9. #25763C2semidirect
10. #25762C2semidirect
11. #25604C2semidirect
12. #25602C2semidirect
13. #25601C2semidirect
14. #25582C2semidirect
15. #25579C2semidirect
16. #25575C2semidirect
17. #24257C2semidirect
18. #24252C2semidirect
19. #24247C2semidirect
20. #24160C2semidirect
21. #24159C2semidirect
22. #24154C2semidirect
23. #24136C2semidirect
24. #24134C2semidirect
25. #24126C2semidirect
26. #22549C2semidirect
27. #22532C2semidirect
28. #22526C2semidirect
29. #21457C2semidirect
30. #21452C2semidirect
31. C4×#450C2semidirect
35. C2×#556C22semidirect
60. C2×#497C22semidirect
62. C2×#495C22semidirect
63. C2×#491C22semidirect
64. C2×#489C22semidirect
65. C2×#488C22semidirect
66. C2×#479C22semidirect
67. C2×#475C22semidirect
68. C2×#478C22semidirect
69. C2×#464C22semidirect
70. C2×#464C22semidirect
74. C2×#463C22semidirect
75. C2×#463C22semidirect
77. C2×#461C22semidirect
87. C2×#446C22semidirect
88. C2×#446C22semidirect
90. C2×#442C22semidirect
91. C2×#441C22semidirect
94. C2×C4×SD16C22semidirect
95. #2857C22semidirect
96. #2850C22semidirect
97. #2850C22semidirect
98. #2542C22semidirect
100. #2540C22semidirect
101. #2537C22semidirect
103. #2536C22semidirect
111. #2355C22semidirect
113. C4×C22⋊Q8C22semidirect
114. C4×C22⋊Q8C22semidirect
115. C4×#121C22semidirect
116. #2035C22semidirect
117. #2035C22semidirect
118. #2034C22semidirect
119. #2034C22semidirect
122. #2001C22semidirect
123. #2001C22semidirect
124. #2001C22semidirect
125. #2001C22semidirect
130. #2000C22semidirect
131. #2000C22semidirect
132. #2000C22semidirect
133. #2000C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
138. #1999C22semidirect
139. #1999C22semidirect
140. #1993C22semidirect
141. #1992C22semidirect
142. #1991C22semidirect
143. #1989C22semidirect
144. #1989C22semidirect
145. #1988C22semidirect
146. #1983C22semidirect
147. #1983C22semidirect
150. #1959C22semidirect
151. #1958C22semidirect
154. #1955C22semidirect
155. #1955C22semidirect
156. #1954C22semidirect
157. #1954C22semidirect
158. #1880C22semidirect
160. #1879C22semidirect
161. #1879C22semidirect
162. #1878C22semidirect
163. #1878C22semidirect
166. #1877C22semidirect
167. #1877C22semidirect
168. #1877C22semidirect
169. #1877C22semidirect
170. #1875C22semidirect
171. #1874C22semidirect
172. #1874C22semidirect
173. #1873C22semidirect
174. #1873C22semidirect
175. #1872C22semidirect
176. #1872C22semidirect
177. #1872C22semidirect
178. #1872C22semidirect
180. #1864C22semidirect
181. #1864C22semidirect
182. #1863C22semidirect
183. #1854C22semidirect
184. #1853C22semidirect
185. #1853C22semidirect
186. #1805C22semidirect
189. #1804C22semidirect
191. #1802C22semidirect
192. #1797C22semidirect
193. #1797C22semidirect
194. #1797C22semidirect
198. #1763C22semidirect
201. #1762C22semidirect
203. C4×#102C22semidirect
204. #1749C22semidirect
205. #1749C22semidirect
206. C4×C22⋊C8C22semidirect
228. #559D4semidirect
234. #554D4semidirect
982. #102#41semidirect

Maximal subgroups

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

subgroupindex
C2×#34812
C2×#34012
C2×#33762
#365042
#329102
#329082
#329052
#257692
#257632
#257622
#256042
#256022
#256012
#255822
#255792
#255752
#242572
#242522
#242472
#241602
#241592
#241542
#241362
#241342
#241262
#225492
#225322
#225262
#214572
#214522
C4×#4502