Finite Group Databasebeta

← #6533190

Subgroups — #6533190

Order 512.

3535 conjugacy classes of subgroups.

The subgroup lattice has 1833 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3505C211yesmaximal, characteristic, complemented
2C2×#3326C211yesmaximal, characteristic, complemented
3C2×#3277C211yesmaximal, characteristic, complemented
4#36097C211yesmaximal, characteristic, complemented
5#29666C211yesmaximal, characteristic, complemented
6#29600C211yesmaximal, characteristic, complemented
7#29599C211yesmaximal, characteristic, complemented
8#25762C211yesmaximal, characteristic, complemented
9#25601C211yesmaximal, characteristic, complemented
10#25576C211yesmaximal, characteristic, complemented
11#25560C211yesmaximal, characteristic, complemented
12#25551C211yesmaximal, characteristic, complemented
13#24447C211yesmaximal, characteristic, complemented
14#24444C211yesmaximal, characteristic, complemented
15#24388C211yesmaximal, characteristic, complemented
16#24385C211yesmaximal, characteristic, complemented
17#24247C211yesmaximal, characteristic, complemented
18#24160C211yesmaximal, characteristic, complemented
19#24127C211yesmaximal, characteristic, complemented
20#23983C211yesmaximal, characteristic, complemented
21#23975C211yesmaximal, characteristic, complemented
22#23922C211yesmaximal, characteristic, complemented
23#23920C211yesmaximal, characteristic, complemented
24#23871C211yesmaximal, characteristic, complemented
25#23862C211yesmaximal, characteristic, complemented
26#23572C211yesmaximal, characteristic, complemented
27#23392C211yesmaximal, characteristic, complemented
28#23392C211yesmaximal, characteristic, complemented
29#22501C211yesmaximal, characteristic, complemented
30#22429C211yesmaximal, characteristic, complemented
31#22401C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic, complemented
33C22×#137C2211yescharacteristic, complemented
34#3505—28no—
35#3505—28no—
36C2×#553—21no—
37C2×#553—21no—
38C2×#553C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#552C2211yescharacteristic
41C2×#552C2211yescharacteristic
42C2×#551—21no—
43C2×#551—21no—
44C2×#548C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic, complemented
47C2×#546C2211yescharacteristic
48C2×#546C2211yescharacteristic
49C2×#539—21no—
50C2×#538—21no—
51C2×#534—21no—
52C2×#529C2211yescharacteristic
53C2×#529C2211yescharacteristic
54C2×#525C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C22×C22⋊Q8C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic, complemented
59C22×#121C2211yescharacteristic
60C2×#518—21no—
61C22×C4×D4C2211yescharacteristic
62#3326—28no—
63#3277—28no—
64C2×#495C2211yescharacteristic, complemented
65C2×#488C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic, complemented
67C2×#483C2211yescharacteristic, complemented
68C2×#479C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#468C2211yescharacteristic, complemented
73C2×#464C2211yescharacteristic, complemented
74C2×#464C2211yescharacteristic, complemented
75C2×#463C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#452C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic, complemented
81C2×#449C2211yescharacteristic, complemented
82C2×#451C2211yescharacteristic, complemented
83C2×#451C2211yescharacteristic, complemented
84C2×#448C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×C4×Q16C2211yescharacteristic, complemented
89C2×C4×SD16C2211yescharacteristic, complemented
90C2×#436C2211yescharacteristic, complemented
91C2×#436C2211yescharacteristic, complemented
92C2×#417C2211yescharacteristic, complemented
93C2×#417C2211yescharacteristic, complemented
94C2×#419C2211yescharacteristic, complemented
95C2×#419C2211yescharacteristic, complemented
96C2×#407C2211yescharacteristic
97C2×#407C2211yescharacteristic, complemented
98#2850C2211yescharacteristic, complemented
99#2848C2211yescharacteristic
100#2847C2211yescharacteristic, complemented
101#2540C2211yescharacteristic
102#2536C2211yescharacteristic
103#2472—21no—
104#2463—21no—
105#2461—21no—
106#2449—21no—
107#2443—21no—
108#2416C2211yescharacteristic
109#2415C2211yescharacteristic, complemented
110#2410—21no—
111#2409C2211yescharacteristic
112#2407C2211yescharacteristic, complemented
113#2361—21no—
114#2358—21no—
115#2352C2211yescharacteristic, complemented
116C4×C22⋊Q8C2211yescharacteristic, complemented
117#2059C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2035C2211yescharacteristic, complemented
121#2035C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2034C2211yescharacteristic, complemented
125#2033C2211yescharacteristic
126#2033C2211yescharacteristic
127#2026C2211yescharacteristic, complemented
128#2026C2211yescharacteristic, complemented
129#2025C2211yescharacteristic, complemented
130#2015C2211yescharacteristic, complemented
131#2015C2211yescharacteristic, complemented
132#2012C2211yescharacteristic, complemented
133#2001C2211yescharacteristic, complemented
134#2001C2211yescharacteristic, complemented
135#2001C2211yescharacteristic, complemented
136#2001C2211yescharacteristic, complemented
137#2001C2211yescharacteristic, 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#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic, complemented
157#1991C2211yescharacteristic, complemented
158#1989C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1958C2211yescharacteristic, complemented
161#1954C2211yescharacteristic
162#1954C2211yescharacteristic
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1895C2211yescharacteristic, complemented
166#1894C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1879C2211yescharacteristic, complemented
169#1878C2211yescharacteristic, complemented
170#1878C2211yescharacteristic, complemented
171#1877C2211yescharacteristic, complemented
172#1877C2211yescharacteristic, complemented
173#1875C2211yescharacteristic, complemented
174#1875C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1874C2211yescharacteristic, complemented
177#1874C2211yescharacteristic, complemented
178#1873C2211yescharacteristic, complemented
179#1873C2211yescharacteristic, complemented
180#1872C2211yescharacteristic, complemented
181#1872C2211yescharacteristic, complemented
182#1872C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1852C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1797C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic
201#1779C2211yescharacteristic, complemented
202C4×#103C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204C4×C22⋊C8C2211yescharacteristic, complemented
205#1736C2211yescharacteristic, complemented
206#1736C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×Q8C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4—21no—
213C23×D4D411yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C2×#137—24no—
218C2×#137—24no—
219C2×#137—42no—
220C2×#137—42no—
221C2×#137—42no—
222C2×#137—42no—
223C22×Q16C2311yescharacteristic
224C22×Q16C2311yescharacteristic
225C22×Q16C2311yescharacteristic
226C22×Q16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C22×M16C2311yescharacteristic
237C22×M16C2311yescharacteristic
238C22×M16C2311yescharacteristic
239#553—216no—
240#553—216no—
241#553—24no—
242#553—24no—
243#553—24no—
244#553D418yescomplemented
245#552—24no—
246#552—24no—
247#552—24no—
248#552—24no—
249#551—216no—
250#551—216no—
251#548—24no—
252#548—24no—
253#548—24no—
254#548—24no—
255#548—24no—
256#548D418yescomplemented
257#546—24no—
258#546—24no—
259#546—24no—
260#546—24no—
261#539—216no—
262#538—216no—
263#534—216no—
264#529—24no—
265#529—24no—
266#529—24no—
267#529—24no—
268C2×#126—21no—
269C2×#126—21no—
270C2×#126—21no—
271C2×#126—21no—
272C2×#126—21no—
273C2×#126—21no—
274C2×#125—21no—
275C2×#125—21no—
276C2×#125C2311yescharacteristic
277C2×#125C2311yescharacteristic
278C2×#124—21no—
279C2×#124—21no—
280C2×#124—21no—
281C2×#124C2311yescharacteristic
282C2×#124C2311yescharacteristic
283C2×#124C2311yescharacteristic
284#525—24no—
285#525—24no—
286#525—24no—
287#525—24no—
288#525—42no—
289#525—42no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123—21no—
296C2×#123—21no—
297C2×#123—21no—
298C2×#123—21no—
299C2×#123—21no—
300C2×#123—21no—
301C2×C22⋊Q8—24no—
302C2×C22⋊Q8—21no—
303C2×C22⋊Q8—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—24no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8—21no—
309C2×C22⋊Q8—21no—
310C2×C22⋊Q8—42no—
311C2×C22⋊Q8—42no—
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—24no—
332C2×#121—24no—
333C2×#121—21no—
334C2×#121—21no—
335C2×#121—21no—
336C2×#121—21no—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120—21no—
351C2×#120—21no—
352C2×#120—21no—
353#518—216no—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×D4—21no—
358C2×C4×D4—21no—
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—24no—
364C2×C4×D4—24no—
365C2×C4×D4—21no—
366C2×C4×D4—21no—
367C2×C4×D4—21no—
368C2×C4×D4—21no—
369C2×C4×D4—21no—
370C2×C4×D4—21no—
371C2×C4×D4—21no—
372C2×C4×D4D411yescharacteristic
373C2×C4×D4D411yescharacteristic
374C2×C4×D4D411yescharacteristic
375C2×C4×D4D411yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×#117—21no—
383C2×#117—21no—
384C2×#117—21no—
385C2×#117—21no—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C22×C4⋊C4—21no—
390C22×C4⋊C4—21no—
391C22×C4⋊C4D411yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C22⋊C4—21no—
396C22×C22⋊C4—21no—
397C22×C22⋊C4—21no—
398C22×C22⋊C4—21no—
399C22×C22⋊C4—21no—
400C22×C22⋊C4D411yescharacteristic
401C22×C22⋊C4D411yescharacteristic
402C22×C42C2311yescharacteristic
403#495—24no—
404#488—24no—
405#483—24no—
406#482—24no—
407#479—24no—
408#469—24no—
409#468—24no—
410#468—24no—
411#468—24no—
412#464—24no—
413#464—24no—
414#463—24no—
415#452—42no—
416#452—42no—
417#451—24no—
418#451—24no—
419#450—42no—
420#450—42no—
421#449—24no—
422#449—24no—
423#449—24no—
424#449—42no—
425#448—24no—
426#447—42no—
427C4×Q16—24no—
428C4×SD16—24no—
429#436—24no—
430#436—24no—
431C2×#107C2311yescharacteristic
432C2×#107C2311yescharacteristic
433C2×#106C2311yescharacteristic
434C2×#106C2311yescharacteristic
435C2×C4⋊C8C2311yescharacteristic
436C2×C4⋊C8C2311yescharacteristic
437#419—24no—
438#419—42no—
439#417—24no—
440#417—42no—
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#103C2311yescharacteristic
452C2×#103C2311yescharacteristic
453C2×#103C2311yescharacteristic
454C2×#103C2311yescharacteristic
455C2×#103C2311yescharacteristic
456C2×#103C2311yescharacteristic
457C2×#103C2311yescharacteristic
458C2×#103C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471C2×#102C2311yescharacteristic
472C2×#102C2311yescharacteristic
473#407—42no—
474#407—42no—
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483C2×C22⋊C8C2311yescharacteristic
484C2×C22⋊C8C2311yescharacteristic
485C2×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489C2×C22⋊C8C2311yescharacteristic
490C2×C22⋊C8C2311yescharacteristic
491C2×C4×C8C2311yescharacteristic
492C2×C4×C8C2311yescharacteristic
493#399—21no—
494#398—21no—
495#397—21no—
496#396—21no—
497#395—21no—
498#394—21no—
499#394—21no—
500#394—21no—
501#394—21no—
502#393—21no—
503#392—21no—
504#392—21no—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#390—21no—
508#390—21no—
509#390C2311yescharacteristic
510#389—21no—
511#389C2311yescharacteristic
512#388—21no—
513#388—21no—
514#388—21no—
515#388—21no—
516#388—21no—
517#388—21no—
518#387—21no—
519#387—21no—
520#386—21no—
521#386—21no—
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#385—21no—
530#385—21no—
531#385—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#382C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#379—21no—
542C4×C4⋊C4—21no—
543C4×C4⋊C4C2311yescharacteristic
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#340C2311yescharacteristic
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565#336C2311yescharacteristic
566C25—21no—
567C25C2×D411yescharacteristic
568C25C2×D411yescharacteristic
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41C2×D414yes—
587C22×Q8—21no—
588C22×Q8—22no—
589C22×Q8—21no—
590C22×Q8—22no—
591C22×Q8—22no—
592C22×Q8—22no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8—41no—
596C22×Q8—41no—
597C22×Q8—41no—
598C22×Q8—41no—
599C22×Q8—41no—
600C22×Q8C2×D414yes—
601C22×Q8C2411yescharacteristic
602C22×Q8C2411yescharacteristic
603C22×Q8C2411yescharacteristic
604C22×Q8C2411yescharacteristic
605C22×D4—28no—
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—24no—
615C22×D4—22no—
616C22×D4—22no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—44no—
630C22×D4—44no—
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
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—41no—
653C23×C4—41no—
654C23×C4—41no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—41no—
658C23×C4—41no—
659C23×C4—41no—
660C23×C4C2×D411yescharacteristic
661C23×C4C2×D411yescharacteristic
662C23×C4C2×D411yescharacteristic
663C23×C4C2×D411yescharacteristic
664C23×C4C2×D411yescharacteristic
665C23×C4C2×D411yescharacteristic
666C23×C4C2×D411yescharacteristic
667C23×C4C2×D411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673#137—416no—
674#137—416no—
675C2×Q16—22no—
676C2×Q16—22no—
677C2×Q16—22no—
678C2×Q16—22no—
679C2×Q16—22no—
680C2×Q16—22no—
681C2×Q16—22no—
682C2×Q16—41no—
683C2×Q16—41no—
684C2×Q16—41no—
685C2×Q16—41no—
686C2×Q16—41no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16—41no—
703C2×SD16—41no—
704C2×SD16—41no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×M16—22no—
712C2×M16—22no—
713C2×M16—22no—
714C2×M16—22no—
715C2×M16—22no—
716C2×M16—22no—
717C2×M16—41no—
718C2×M16—41no—
719C2×M16—41no—
720C2×M16—41no—
721C2×M16—41no—
722C2×M16—41no—
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731#126—28no—
732#126—28no—
733#126—28no—
734#126—28no—
735#126—28no—
736#126—28no—
737#125—28no—
738#125—28no—
739#125—22no—
740#125—22no—
741#125—22no—
742#125C2×D414yes—
743#124—28no—
744#124—22no—
745#124—22no—
746#124—28no—
747#124—22no—
748#124—22no—
749#124—22no—
750#124—44no—
751#124C2×D414yes—
752#123—28no—
753#123—28no—
754#123—28no—
755#123—28no—
756#123—28no—
757#123—28no—
758#123—28no—
759#123—28no—
760#123—28no—
761#123—28no—
762#123—44no—
763C22⋊Q8—28no—
764C22⋊Q8—28no—
765C22⋊Q8—28no—
766C22⋊Q8—22no—
767C22⋊Q8—22no—
768C22⋊Q8—22no—
769C22⋊Q8—22no—
770C22⋊Q8—22no—
771C22⋊Q8—22no—
772C22⋊Q8—22no—
773C22⋊Q8—28no—
774C22⋊Q8—22no—
775C22⋊Q8—22no—
776C22⋊Q8—22no—
777C22⋊Q8—22no—
778C22⋊Q8—22no—
779C22⋊Q8—22no—
780C22⋊Q8—22no—
781C22⋊Q8—22no—
782C22⋊Q8—22no—
783C22⋊Q8—22no—
784C22⋊Q8—22no—
785C22⋊Q8—44no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—44no—
792C22⋊Q8—44no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8C2×D414yes—
796#121—28no—
797#121—28no—
798#121—28no—
799#121—28no—
800#121—28no—
801#121—28no—
802#121—28no—
803#121—28no—
804#121—22no—
805#121—22no—
806#121—22no—
807#121—22no—
808#121—22no—
809#121—22no—
810#121—22no—
811#121—22no—
812#121—22no—
813#121—22no—
814#121—22no—
815#121—22no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—44no—
820#121—44no—
821#121—41no—
822#121—41no—
823#121C2×D414yes—
824#121C2×D414yes—
825#121C2×D414yes—
826#120—28no—
827#120—28no—
828#120—28no—
829#120—28no—
830#120—44no—
831#120—44no—
832C4×Q8—22no—
833C4×Q8—22no—
834C4×Q8—22no—
835C4×Q8—22no—
836C4×Q8—22no—
837C4×Q8C2×D414yes—
838C4×D4—28no—
839C4×D4—28no—
840C4×D4—28no—
841C4×D4—28no—
842C4×D4—28no—
843C4×D4—28no—
844C4×D4—28no—
845C4×D4—28no—
846C4×D4—24no—
847C4×D4—22no—
848C4×D4—22no—
849C4×D4—22no—
850C4×D4—22no—
851C4×D4—22no—
852C4×D4—24no—
853C4×D4—22no—
854C4×D4—24no—
855C4×D4—24no—
856C4×D4—28no—
857C4×D4—28no—
858C4×D4—22no—
859C4×D4—22no—
860C4×D4—22no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4C2×D414yes—
865C4×D4C2×D414yes—
866C4×D4C2×D414yes—
867#117—28no—
868#117—28no—
869#117—28no—
870#117—28no—
871#117—22no—
872#117—22no—
873#117—22no—
874#117—22no—
875#117—41no—
876#117C2×D414yes—
877C2×C4⋊C4—28no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—22no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—24no—
895C2×C4⋊C4—22no—
896C2×C4⋊C4—22no—
897C2×C4⋊C4—22no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—41no—
908C2×C4⋊C4—44no—
909C2×C4⋊C4C2×D411yescharacteristic
910C2×C4⋊C4C2×D411yescharacteristic
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C4⋊C4C2×D414yes—
913C2×C4⋊C4C2×D411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C22⋊C4—28no—
924C2×C22⋊C4—28no—
925C2×C22⋊C4—28no—
926C2×C22⋊C4—28no—
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—24no—
949C2×C22⋊C4—24no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—44no—
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C22⋊C4C2×D411yescharacteristic
975C2×C22⋊C4C2×D411yescharacteristic
976C2×C22⋊C4C2×D411yescharacteristic
977C2×C22⋊C4C2×D411yescharacteristic
978C2×C22⋊C4C2×D411yescharacteristic
979C2×C42—21no—
980C2×C42—21no—
981C2×C42—21no—
982C2×C42—21no—
983C2×C42—22no—
984C2×C42—22no—
985C2×C42—21no—
986C2×C42—21no—
987C2×C42—21no—
988C2×C42C2×D411yescharacteristic
989C2×C42C2×D411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992#107—22no—
993#107—22no—
994#106—22no—
995#106—22no—
996C4⋊C8—22no—
997C4⋊C8—22no—
998#103—22no—
999#103—22no—
1000#103—22no—
1001#103—22no—
1002#103—22no—
1003#103—22no—
1004#103—22no—
1005#103—22no—
1006#103—22no—
1007#103—22no—
1008#103—22no—
1009#103—22no—
1010#103—41no—
1011#103—41no—
1012#103—41no—
1013#103—41no—
1014#103—41no—
1015#103—41no—
1016#102—22no—
1017#102—22no—
1018#102—22no—
1019#102—22no—
1020#102—22no—
1021#102—22no—
1022#102—22no—
1023#102—22no—
1024#102—22no—
1025#102—41no—
1026#102—41no—
1027#102—41no—
1028#102—41no—
1029#102—41no—
1030C22⋊C8—22no—
1031C22⋊C8—22no—
1032C22⋊C8—22no—
1033C22⋊C8—22no—
1034C22⋊C8—22no—
1035C22⋊C8—22no—
1036C22⋊C8—22no—
1037C22⋊C8—41no—
1038C22⋊C8—41no—
1039C22⋊C8—41no—
1040C22⋊C8—41no—
1041C22⋊C8—41no—
1042C22⋊C8—41no—
1043C22⋊C8—41no—
1044C22⋊C8—41no—
1045C22⋊C8—41no—
1046C4×C8—22no—
1047C4×C8—22no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
1051#95—21no—
1052#95—21no—
1053#95—21no—
1054#95—21no—
1055#95—21no—
1056#95—21no—
1057#95—21no—
1058#95—21no—
1059#95—21no—
1060#95—21no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—24no—
1065C24—21no—
1066C24—21no—
1067C24—22no—
1068C24—22no—
1069C24—21no—
1070C24—41no—
1071C24—41no—
1072C24—41no—
1073C24—41no—
1074C24—41no—
1075C24—41no—
1076C24—41no—
1077C24—41no—
1078C24—41no—
1079C24—42no—
1080C24—42no—
1081C24—81no—
1082C24—81no—
1083C24—81no—
1084C24—81no—
1085C24C22×D411yescharacteristic
1086C24C22×D411yescharacteristic
1087C24C22×D411yescharacteristic
1088C24C22×D411yescharacteristic
1089C24C22×D411yescharacteristic
1090#41—44no—
1091#41—44no—
1092#41—44no—
1093#41—44no—
1094#41—82no—
1095#41—82no—
1096#41—82no—
1097#41—82no—
1098#41—82no—
1099#41—82no—
1100#41—82no—
1101#41—82no—
1102C2×Q8—24no—
1103C2×Q8—21no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—42no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—44no—
1128C2×Q8—44no—
1129C2×Q8—42no—
1130C2×Q8—81no—
1131C2×Q8—81no—
1132C2×Q8—81no—
1133C2×Q8—82no—
1134C2×Q8—82no—
1135C2×Q8—82no—
1136C2×Q8—82no—
1137C2×Q8C22×D412yes—
1138C2×Q8C22×D412yes—
1139C2×Q8H(5,𝔽2)12yes—
1140C2×D4—24no—
1141C2×D4—24no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—24no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—22no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—42no—
1177C2×D4—42no—
1178C2×D4—416no—
1179C2×D4—432no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—82no—
1200C2×D4—82no—
1201C2×D4—82no—
1202C2×D4—82no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—81no—
1206C2×D4—81no—
1207C2×D4—81no—
1208C2×D4—81no—
1209C2×D4—81no—
1210C2×D4—81no—
1211C2×D4—81no—
1212C2×D4—81no—
1213C2×D4—81no—
1214C2×D4—81no—
1215C2×D4#12014yes—
1216C2×D4C22×D412yes—
1217C2×D4C22×D412yes—
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—24no—
1227C22×C4—22no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—21no—
1252C22×C4—21no—
1253C22×C4—21no—
1254C22×C4—21no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—21no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—82no—
1297C22×C4—82no—
1298C22×C4—82no—
1299C22×C4—82no—
1300C22×C4—82no—
1301C22×C4—82no—
1302C22×C4—82no—
1303C22×C4—82no—
1304C22×C4—81no—
1305C22×C4—81no—
1306C22×C4—81no—
1307C22×C4—81no—
1308C22×C4—81no—
1309C22×C4—81no—
1310C22×C4—81no—
1311C22×C4—81no—
1312C22×C4—81no—
1313C22×C4—81no—
1314C22×C4—81no—
1315C22×C4—81no—
1316C22×C4—81no—
1317C22×C4—81no—
1318C22×C4—81no—
1319C22×C4C22×D411yescharacteristic
1320C22×C4C22×D411yescharacteristic
1321C22×C4C22×D411yescharacteristic
1322C22×C4C22×D411yescharacteristic
1323C22×C4C22×D411yescharacteristic
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D411yescharacteristic
1328C22×C4C22×D412yes—
1329C22×C4C22×D412yes—
1330C22×C4C22×D412yes—
1331C22×C4C22×D412yes—
1332C22×C4C2511yescharacteristic
1333Q16—28no—
1334Q16—44no—
1335Q16—44no—
1336Q16—82no—
1337SD16—44no—
1338SD16—44no—
1339SD16—44no—
1340SD16—44no—
1341SD16—44no—
1342SD16—82no—
1343D8—82no—
1344D8—82no—
1345M16—44no—
1346M16—44no—
1347M16—82no—
1348M16—82no—
1349C2×C8—21no—
1350C2×C8—21no—
1351C2×C8—21no—
1352C2×C8—21no—
1353C2×C8—21no—
1354C2×C8—21no—
1355C2×C8—21no—
1356C2×C8—21no—
1357C2×C8—21no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—21no—
1370C2×C8—21no—
1371C2×C8—21no—
1372C2×C8H(5,𝔽2)12yes—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—81no—
1413C4⋊C4#12014yes—
1414C4⋊C4C22×D412yes—
1415C4⋊C4C22×D412yes—
1416C4⋊C4C22×D412yes—
1417C4⋊C4C22×D412yes—
1418C4⋊C4H(5,𝔽2)12yes—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—22no—
1433C22⋊C4—22no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—81no—
1463C22⋊C4—81no—
1464C22⋊C4—81no—
1465C22⋊C4—81no—
1466C22⋊C4#12014yes—
1467C22⋊C4#12014yes—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—21no—
1475C42—21no—
1476C42—42no—
1477C42—42no—
1478C42—81no—
1479C42C22×D412yes—
1480C42C22×D412yes—
1481C23—28no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—44no—
1516C23—44no—
1517C23—48no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—82no—
1538C23—82no—
1539C23—82no—
1540C23—82no—
1541C23—82no—
1542C23—82no—
1543C23—82no—
1544C23—82no—
1545C23—82no—
1546C23—82no—
1547C23—82no—
1548C23—84no—
1549C23—84no—
1550C23—162no—
1551C23—162no—
1552C23—162no—
1553C23—162no—
1554C23C2×#12012yes—
1555C23C2×#12012yes—
1556C23#57512yes—
1557C23#57512yes—
1558C23C23×D411yescharacteristic
1559Q8—22no—
1560Q8—22no—
1561Q8—22no—
1562Q8—22no—
1563Q8—22no—
1564Q8—22no—
1565Q8—41no—
1566Q8—41no—
1567Q8—41no—
1568Q8—41no—
1569Q8—41no—
1570Q8—41no—
1571Q8—41no—
1572Q8—41no—
1573Q8—41no—
1574Q8—41no—
1575Q8—84no—
1576Q8—84no—
1577D4—22no—
1578D4—22no—
1579D4—22no—
1580D4—22no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—48no—
1586D4—48no—
1587D4—48no—
1588D4—48no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—41no—
1595D4—41no—
1596D4—41no—
1597D4—84no—
1598D4—84no—
1599D4—84no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—84no—
1606D4—162no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—82no—
1692C2×C4—82no—
1693C2×C4—82no—
1694C2×C4—82no—
1695C2×C4—82no—
1696C2×C4—84no—
1697C2×C4—84no—
1698C2×C4—84no—
1699C2×C4—82no—
1700C2×C4—82no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4—84no—
1704C2×C4—84no—
1705C2×C4—84no—
1706C2×C4—84no—
1707C2×C4C2×#12012yes—
1708C2×C4C2×#12012yes—
1709C2×C4C2×#12012yes—
1710C2×C4C2×#12012yes—
1711C2×C4C23×D411yescharacteristic
1712C2×C4C23×D411yescharacteristic
1713C2×C4C2×H(5,𝔽2)11yescharacteristic
1714C2×C4C2×H(5,𝔽2)11yescharacteristic
1715C2×C4C2×H(5,𝔽2)11yescharacteristic
1716C2×C4#58511yescharacteristic
1717C8—22no—
1718C8—41no—
1719C8—41no—
1720C8—41no—
1721C8—41no—
1722C8—41no—
1723C8—41no—
1724C8—41no—
1725C22—22no—
1726C22—22no—
1727C22—22no—
1728C22—22no—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—42no—
1757C22—42no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—88no—
1767C22—88no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22—81no—
1779C22—81no—
1780C22—81no—
1781C22—81no—
1782C22—81no—
1783C22—168no—
1784C22C22×#12011yescharacteristic
1785C22#348411yescharacteristic
1786C22#349611yescharacteristic
1787C22C2×#57511yescharacteristic
1788C22C2×#57511yescharacteristic
1789C22#358411yescharacteristic
1790C22#358611yescharacteristic
1791C4—22no—
1792C4—22no—
1793C4—22no—
1794C4—22no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—81no—
1809C4—81no—
1810C4—81no—
1811C4—81no—
1812C4—81no—
1813C4#348411yescharacteristic
1814C4#348811yescharacteristic
1815C4#349611yescharacteristic
1816C4#349811yescharacteristic
1817C2—42no—
1818C2—42no—
1819C2—42no—
1820C2—42no—
1821C2—81no—
1822C2—82no—
1823C2—82no—
1824C2—161no—
1825C2#3568011yescharacteristic
1826C2#6035911yescharacteristic
1827C2#6037711yescharacteristic
1828C2#6158311yescharacteristic
1829C2#6159711yescharacteristic
1830C2#6226111yescharacteristic
1831C2#6229711yescharacteristic
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×#3505C2semidirect
2. C2×#3326C2semidirect
3. C2×#3277C2semidirect
4. #36097C2semidirect
5. #29666C2semidirect
6. #29600C2semidirect
7. #29599C2semidirect
8. #25762C2semidirect
9. #25601C2semidirect
10. #25576C2semidirect
11. #25560C2semidirect
12. #25551C2semidirect
13. #24447C2semidirect
14. #24444C2semidirect
15. #24388C2semidirect
16. #24385C2semidirect
17. #24247C2semidirect
18. #24160C2semidirect
19. #24127C2semidirect
20. #23983C2semidirect
21. #23975C2semidirect
22. #23922C2semidirect
23. #23920C2semidirect
24. #23871C2semidirect
25. #23862C2semidirect
26. #23572C2semidirect
27. #23392C2semidirect
28. #23392C2semidirect
29. #22501C2semidirect
30. #22429C2semidirect
31. #22401C2semidirect
32. C22×#137C22semidirect
33. C22×#137C22semidirect
46. C2×#548C22semidirect
58. C22×C22⋊Q8C22semidirect
64. C2×#495C22semidirect
65. C2×#488C22semidirect
66. C2×#482C22semidirect
67. C2×#483C22semidirect
68. C2×#479C22semidirect
69. C2×#469C22semidirect
70. C2×#468C22semidirect
71. C2×#468C22semidirect
72. C2×#468C22semidirect
73. C2×#464C22semidirect
74. C2×#464C22semidirect
75. C2×#463C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#449C22semidirect
81. C2×#449C22semidirect
82. C2×#451C22semidirect
83. C2×#451C22semidirect
84. C2×#448C22semidirect
85. C2×#450C22semidirect
86. C2×#450C22semidirect
87. C2×#447C22semidirect
88. C2×C4×Q16C22semidirect
89. C2×C4×SD16C22semidirect
90. C2×#436C22semidirect
91. C2×#436C22semidirect
92. C2×#417C22semidirect
93. C2×#417C22semidirect
94. C2×#419C22semidirect
95. C2×#419C22semidirect
97. C2×#407C22semidirect
98. #2850C22semidirect
100. #2847C22semidirect
109. #2415C22semidirect
112. #2407C22semidirect
115. #2352C22semidirect
116. C4×C22⋊Q8C22semidirect
117. #2059C22semidirect
118. #2042C22semidirect
119. #2036C22semidirect
120. #2035C22semidirect
121. #2035C22semidirect
122. #2035C22semidirect
123. #2035C22semidirect
124. #2034C22semidirect
127. #2026C22semidirect
128. #2026C22semidirect
129. #2025C22semidirect
130. #2015C22semidirect
131. #2015C22semidirect
132. #2012C22semidirect
133. #2001C22semidirect
134. #2001C22semidirect
135. #2001C22semidirect
136. #2001C22semidirect
137. #2001C22semidirect
138. #2001C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
141. #2001C22semidirect
142. #2001C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
156. #1999C22semidirect
157. #1991C22semidirect
158. #1989C22semidirect
159. #1983C22semidirect
160. #1958C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
165. #1895C22semidirect
166. #1894C22semidirect
167. #1880C22semidirect
168. #1879C22semidirect
169. #1878C22semidirect
170. #1878C22semidirect
171. #1877C22semidirect
172. #1877C22semidirect
173. #1875C22semidirect
174. #1875C22semidirect
175. #1875C22semidirect
176. #1874C22semidirect
177. #1874C22semidirect
178. #1873C22semidirect
179. #1873C22semidirect
180. #1872C22semidirect
181. #1872C22semidirect
182. #1872C22semidirect
185. #1870C22semidirect
186. #1870C22semidirect
187. #1864C22semidirect
188. #1863C22semidirect
189. #1854C22semidirect
190. #1852C22semidirect
191. #1825C22semidirect
192. #1823C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
195. #1797C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
201. #1779C22semidirect
202. C4×#103C22semidirect
203. C4×#102C22semidirect
204. C4×C22⋊C8C22semidirect
205. #1736C22semidirect
206. #1736C22semidirect
244. #553D4semidirect
256. #548D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35052
C2×#33262
C2×#32772
#360972
#296662
#296002
#295992
#257622
#256012
#255762
#255602
#255512
#244472
#244442
#243882
#243852
#242472
#241602
#241272
#239832
#239752
#239222
#239202
#238712
#238622
#235722
#233922
#225012
#224292
#224012