Finite Group Databasebeta

← #6500242

Subgroups — #6500242

Order 512.

3384 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3542C211yesmaximal, characteristic
2C2×#3201C211yesmaximal, characteristic, complemented
3C2×#3200C211yesmaximal, characteristic, complemented
4#35633C211yesmaximal, characteristic, complemented
5#25562C211yesmaximal, characteristic, complemented
6#25552C211yesmaximal, characteristic, complemented
7#25551C211yesmaximal, characteristic, complemented
8#25547C211yesmaximal, characteristic, complemented
9#25546C211yesmaximal, characteristic, complemented
10#25536C211yesmaximal, characteristic, complemented
11#25535C211yesmaximal, characteristic, complemented
12#25531C211yesmaximal, characteristic, complemented
13#24452C211yesmaximal, characteristic, complemented
14#24448C211yesmaximal, characteristic, complemented
15#24443C211yesmaximal, characteristic, complemented
16#24442C211yesmaximal, characteristic, complemented
17#24436C211yesmaximal, characteristic, complemented
18#24432C211yesmaximal, characteristic, complemented
19#24427C211yesmaximal, characteristic, complemented
20#24426C211yesmaximal, characteristic, complemented
21#24075C211yesmaximal, characteristic, complemented
22#24070C211yesmaximal, characteristic, complemented
23#24009C211yesmaximal, characteristic, complemented
24#24008C211yesmaximal, characteristic, complemented
25#23946C211yesmaximal, characteristic, complemented
26#23940C211yesmaximal, characteristic, complemented
27#23922C211yesmaximal, characteristic, complemented
28#23919C211yesmaximal, characteristic, complemented
29#21744C211yesmaximal, characteristic, complemented
30#20915C211yesmaximal, characteristic, complemented
31#20914C211yesmaximal, characteristic, complemented
32#3542—28no—
33#3542—28no—
34C2×#562—21no—
35C2×#560—21no—
36C2×#555C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#552C2211yescharacteristic
39C2×#551—21no—
40C2×#550C2211yescharacteristic
41C2×#547C2211yescharacteristic
42C2×#546—21no—
43C2×#546C2211yescharacteristic
44C2×#546C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×#542C2211yescharacteristic
47C2×#540—21no—
48C2×#540C2211yescharacteristic
49C2×#538—21no—
50C2×#537C2211yescharacteristic
51C2×#536C2211yescharacteristic, complemented
52C2×#535—21no—
53C2×#535C2211yescharacteristic
54C2×#534—21no—
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C22×C22⋊Q8C2211yescharacteristic, complemented
58C22×#121C2211yescharacteristic
59C2×#520C2211yescharacteristic, complemented
60#3201—28no—
61#3200—28no—
62C2×#484C2211yescharacteristic, complemented
63C2×#485C2211yescharacteristic, complemented
64C2×#485C2211yescharacteristic, complemented
65C2×#485C2211yescharacteristic, complemented
66C2×#482C2211yescharacteristic
67C2×#482C2211yescharacteristic, complemented
68C2×#482C2211yescharacteristic, complemented
69C2×#483C2211yescharacteristic, complemented
70C2×#470C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#468C2211yescharacteristic, complemented
73C2×#468C2211yescharacteristic, complemented
74C2×#467C2211yescharacteristic, complemented
75C2×#465C2211yescharacteristic, complemented
76C2×#465C2211yescharacteristic, complemented
77C2×#465C2211yescharacteristic, complemented
78C2×#452C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic, complemented
80C2×#452C2211yescharacteristic, complemented
81C2×#452C2211yescharacteristic, complemented
82C2×#451C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic
84C2×#448C2211yescharacteristic, complemented
85C2×#448C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic
87C2×#450C2211yescharacteristic
88C2×#450C2211yescharacteristic, complemented
89C2×#450C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#418C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic, complemented
93C22×#102C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2534—21no—
97#2534—21no—
98#2486—21no—
99#2486—21no—
100#2429—21no—
101#2429—21no—
102#2427—21no—
103#2427—21no—
104#2417C2211yescharacteristic
105#2417C2211yescharacteristic, complemented
106#2417C2211yescharacteristic, complemented
107#2417C2211yescharacteristic, complemented
108#2415C2211yescharacteristic
109#2415C2211yescharacteristic, complemented
110#2415C2211yescharacteristic, complemented
111#2415C2211yescharacteristic, complemented
112#2316C2211yescharacteristic, complemented
113#2310C2211yescharacteristic, complemented
114#2280C2211yescharacteristic, complemented
115#2059C2211yescharacteristic, complemented
116#2059C2211yescharacteristic, complemented
117#2058C2211yescharacteristic, complemented
118#2057C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2042C2211yescharacteristic, complemented
121#2041C2211yescharacteristic, complemented
122#2041C2211yescharacteristic, complemented
123#2036C2211yescharacteristic, complemented
124#2035C2211yescharacteristic, complemented
125#2034C2211yescharacteristic
126#2034C2211yescharacteristic
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic, complemented
131#2026C2211yescharacteristic, complemented
132#2026C2211yescharacteristic, complemented
133#2024C2211yescharacteristic, complemented
134#2024C2211yescharacteristic, complemented
135#2015C2211yescharacteristic, complemented
136#2015C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2001C2211yescharacteristic, complemented
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#1878C2211yescharacteristic, complemented
148#1878C2211yescharacteristic, complemented
149#1877C2211yescharacteristic, complemented
150#1877C2211yescharacteristic, complemented
151#1877C2211yescharacteristic, complemented
152#1877C2211yescharacteristic, complemented
153#1877C2211yescharacteristic, complemented
154#1877C2211yescharacteristic, complemented
155#1875C2211yescharacteristic
156#1875C2211yescharacteristic, complemented
157#1875C2211yescharacteristic, complemented
158#1875C2211yescharacteristic, complemented
159#1875C2211yescharacteristic, complemented
160#1875C2211yescharacteristic, complemented
161#1874C2211yescharacteristic
162#1874C2211yescharacteristic, complemented
163#1874C2211yescharacteristic, complemented
164#1874C2211yescharacteristic, complemented
165#1874C2211yescharacteristic, complemented
166#1874C2211yescharacteristic, complemented
167#1873C2211yescharacteristic, complemented
168#1873C2211yescharacteristic, complemented
169#1873C2211yescharacteristic, complemented
170#1873C2211yescharacteristic, complemented
171#1872C2211yescharacteristic, complemented
172#1872C2211yescharacteristic, complemented
173#1872C2211yescharacteristic, complemented
174#1872C2211yescharacteristic, complemented
175#1870C2211yescharacteristic
176#1870C2211yescharacteristic, complemented
177#1870C2211yescharacteristic, complemented
178#1870C2211yescharacteristic, complemented
179#1869C2211yescharacteristic
180#1869C2211yescharacteristic, complemented
181#1869C2211yescharacteristic, complemented
182#1869C2211yescharacteristic, complemented
183#1865C2211yescharacteristic, complemented
184#1864C2211yescharacteristic, complemented
185#1864C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1853C2211yescharacteristic, complemented
194#1852C2211yescharacteristic, complemented
195#1818C2211yescharacteristic, complemented
196#1818C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1779C2211yescharacteristic, complemented
202#1779C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205#1735C2211yescharacteristic, complemented
206C2×#340C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×Q8C2311yescharacteristic
212C23×D4—21no—
213C23×D4—21no—
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C24×C4C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×Q16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C23×C8C2311yescharacteristic
228C23×C8C2311yescharacteristic
229#562—216no—
230#560—216no—
231#555—24no—
232#555—24no—
233#553—24no—
234#553—24no—
235#552—24no—
236#552—24no—
237#551—216no—
238#550—24no—
239#550—24no—
240#547—24no—
241#547—24no—
242#546—216no—
243#546—24no—
244#546—24no—
245#546—24no—
246#546—24no—
247D42—24no—
248D42—24no—
249#542—24no—
250#542—24no—
251#540—216no—
252#540—24no—
253#540—24no—
254#538—216no—
255#537—24no—
256#537D418yes—
257#536—24no—
258#536—24no—
259#535—216no—
260#535—24no—
261#535D418yes—
262#534—216no—
263C2×C4⋊Q8—21no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×#127—21no—
266C2×#127—21no—
267C2×#127C2311yescharacteristic
268C2×#126—21no—
269C2×#126—21no—
270C2×#126—21no—
271C2×#125—21no—
272C2×#125C2311yescharacteristic
273C2×#124—21no—
274C2×#124—21no—
275C2×#124—21no—
276C2×#124—21no—
277C2×#124—21no—
278C2×#124C2311yescharacteristic
279#525—24no—
280#525—24no—
281#525—24no—
282#525—24no—
283C2×#123—21no—
284C2×#123—21no—
285C2×#123—21no—
286C2×#123—21no—
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123—21no—
291C2×#123—21no—
292C2×#123—21no—
293C2×#123—21no—
294C2×#123—21no—
295C2×#123D411yescharacteristic
296C2×#123D411yescharacteristic
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—21no—
302C2×C22⋊Q8—42no—
303C2×C22⋊Q8—42no—
304C2×C22⋊Q8D411yescharacteristic
305C2×C22⋊Q8D411yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×#121—21no—
318C2×#121—21no—
319C2×#121—21no—
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121—21no—
324C2×#121—24no—
325C2×#121—24no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121—21no—
331C2×#121—21no—
332C2×#121—21no—
333C2×#121D411yescharacteristic
334C2×#121D411yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2311yescharacteristic
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×#120—21no—
348C2×#120—21no—
349C2×#120—21no—
350C2×#120—21no—
351C2×#120D411yescharacteristic
352C2×#120D411yescharacteristic
353#520—42no—
354#520—42no—
355C2×C4×Q8—21no—
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—21no—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117—21no—
372C2×#117—21no—
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C22×C4⋊C4—21no—
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2311yescharacteristic
386C22×C22⋊C4—21no—
387C22×C22⋊C4—21no—
388C22×C22⋊C4—21no—
389C22×C22⋊C4—21no—
390#485—24no—
391#485—24no—
392#485—24no—
393#484—24no—
394#483—24no—
395#482—24no—
396#482—24no—
397#482—24no—
398#470—24no—
399#468—24no—
400#468—24no—
401#468—24no—
402#467—24no—
403#465—24no—
404#465—24no—
405#465—24no—
406#452—24no—
407#452—24no—
408#452—42no—
409#452—42no—
410#451—24no—
411#450—24no—
412#450—24no—
413#450—42no—
414#450—42no—
415#448—24no—
416#448—24no—
417#448—24no—
418C2×#107C2311yescharacteristic
419C2×#107C2311yescharacteristic
420C2×#107C2311yescharacteristic
421C2×#107C2311yescharacteristic
422C2×#106C2311yescharacteristic
423C2×#106C2311yescharacteristic
424C2×#106C2311yescharacteristic
425C2×#106C2311yescharacteristic
426#418—42no—
427#417—42no—
428#416—42no—
429C2×#103C2311yescharacteristic
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#102—42no—
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×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462#408—24no—
463#408—24no—
464C2×C22⋊C8C2311yescharacteristic
465C2×C22⋊C8C2311yescharacteristic
466C2×C22⋊C8C2311yescharacteristic
467C2×C22⋊C8C2311yescharacteristic
468C2×C22⋊C8C2311yescharacteristic
469C2×C22⋊C8C2311yescharacteristic
470C2×C22⋊C8C2311yescharacteristic
471C2×C22⋊C8C2311yescharacteristic
472C2×C22⋊C8C2311yescharacteristic
473C2×C22⋊C8C2311yescharacteristic
474C2×C22⋊C8C2311yescharacteristic
475C2×C22⋊C8C2311yescharacteristic
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480#398—21no—
481#398—21no—
482#398—21no—
483#398—21no—
484#397—21no—
485#397—21no—
486#397—21no—
487#397—21no—
488#396—21no—
489#396—21no—
490#396—21no—
491#396—21no—
492#394—21no—
493#394—21no—
494#394—21no—
495#394—21no—
496#391—21no—
497#391—21no—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#389—21no—
503#389—21no—
504#389—21no—
505#389—21no—
506#389—21no—
507#389—21no—
508#389C2311yescharacteristic
509#389C2311yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#388—21no—
513#388—21no—
514#388—21no—
515#388—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#381—21no—
521#381—21no—
522#381—21no—
523#380—21no—
524#380—21no—
525#380—21no—
526#380—21no—
527#380—21no—
528#380—21no—
529#380C2311yescharacteristic
530#380C2311yescharacteristic
531#380C2311yescharacteristic
532#380C2311yescharacteristic
533#379—21no—
534C4×C22⋊C4—21no—
535C4×C22⋊C4—21no—
536#340C2311yescharacteristic
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#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555#336C2311yescharacteristic
556#336C2311yescharacteristic
557#336C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560C25—21no—
561C25—21no—
562C25C2×D411yescharacteristic
563C2×#41—28no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
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—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—82no—
580C2×#41—82no—
581C2×#41C2×D414yes—
582C2×#41C2×D414yes—
583C2×#41C2×D414yes—
584C22×Q8—21no—
585C22×Q8—21no—
586C22×Q8—22no—
587C22×Q8—22no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8—41no—
592C22×Q8C2×D411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×Q8C2411yescharacteristic
596C22×D4—21no—
597C22×D4—28no—
598C22×D4—28no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—22no—
610C22×D4—22no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—22no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—82no—
625C22×D4—82no—
626C22×D4—82no—
627C22×D4—82no—
628C22×D4C2×D411yescharacteristic
629C22×D4C2×D411yescharacteristic
630C22×D4C2×D411yescharacteristic
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D414yes—
633C22×D4C2×D411yescharacteristic
634C22×D4C2×D411yescharacteristic
635C22×D4C2×D411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
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×C4C2×D411yescharacteristic
657C23×C4C2×D411yescharacteristic
658C23×C4C2×D411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C2×Q16—22no—
665C2×Q16—22no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×Q16—41no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×M16—22no—
689C2×M16—22no—
690C2×M16—41no—
691C2×M16—41no—
692C2×M16—41no—
693C2×M16—41no—
694C22×C8—22no—
695C22×C8—22no—
696C22×C8—41no—
697C22×C8—41no—
698C22×C8—41no—
699C22×C8—41no—
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C22×C8C2411yescharacteristic
707C22×C8C2411yescharacteristic
708C4⋊Q8—22no—
709C4⋊Q8—22no—
710C4⋊Q8—44no—
711#127—28no—
712#127—28no—
713#127—22no—
714#127—22no—
715#126—28no—
716#126—28no—
717#126—28no—
718#125—28no—
719#125—22no—
720#125—22no—
721#124—28no—
722#124—28no—
723#124—28no—
724#124—28no—
725#124—22no—
726#124—22no—
727#124—44no—
728#123—28no—
729#123—28no—
730#123—28no—
731#123—28no—
732#123—28no—
733#123—28no—
734#123—28no—
735#123—28no—
736#123—28no—
737#123—28no—
738#123—24no—
739#123—24no—
740#123—44no—
741#123—44no—
742C22⋊Q8—28no—
743C22⋊Q8—28no—
744C22⋊Q8—28no—
745C22⋊Q8—24no—
746C22⋊Q8—24no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—22no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8—41no—
766C22⋊Q8—41no—
767C22⋊Q8—44no—
768C22⋊Q8—44no—
769C22⋊Q8C2×D414yes—
770C22⋊Q8C2×D414yes—
771#121—28no—
772#121—28no—
773#121—28no—
774#121—28no—
775#121—28no—
776#121—28no—
777#121—28no—
778#121—28no—
779#121—28no—
780#121—28no—
781#121—28no—
782#121—28no—
783#121—28no—
784#121—28no—
785#121—24no—
786#121—24no—
787#121—22no—
788#121—22no—
789#121—22no—
790#121—22no—
791#121—22no—
792#121—22no—
793#121—22no—
794#121—22no—
795#121—22no—
796#121—22no—
797#121—22no—
798#121—22no—
799#121C2×D414yes—
800#121C2×D414yes—
801#121C2×D414yes—
802#121C2×D414yes—
803#121C2×D414yes—
804#121C2×D414yes—
805#120—28no—
806#120—28no—
807#120—28no—
808#120—28no—
809#120—28no—
810#120—28no—
811#120—28no—
812#120—24no—
813#120—24no—
814C4×Q8—22no—
815C4×Q8—22no—
816C4×Q8—44no—
817C4×D4—28no—
818C4×D4—28no—
819C4×D4—28no—
820C4×D4—28no—
821C4×D4—22no—
822C4×D4—22no—
823C4×D4—22no—
824C4×D4—22no—
825C4×D4—22no—
826C4×D4—22no—
827C4×D4—22no—
828C4×D4—22no—
829C4×D4—22no—
830C4×D4—22no—
831C4×D4—22no—
832C4×D4—22no—
833C4×D4—22no—
834C4×D4—22no—
835C4×D4—44no—
836C4×D4—44no—
837C4×D4—44no—
838#117—28no—
839#117—28no—
840#117—22no—
841#117—22no—
842#117—22no—
843#117—22no—
844#117—22no—
845#117—22no—
846#117—22no—
847#117—22no—
848#117—22no—
849#117—41no—
850#117—41no—
851#117—41no—
852#117—41no—
853#117C2×D414yes—
854C2×C4⋊C4—21no—
855C2×C4⋊C4—21no—
856C2×C4⋊C4—21no—
857C2×C4⋊C4—22no—
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—22no—
869C2×C4⋊C4—22no—
870C2×C4⋊C4—22no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
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—41no—
886C2×C4⋊C4—41no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C4⋊C4C2×D414yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C22⋊C4—28no—
906C2×C22⋊C4—28no—
907C2×C22⋊C4—28no—
908C2×C22⋊C4—21no—
909C2×C22⋊C4—21no—
910C2×C22⋊C4—21no—
911C2×C22⋊C4—21no—
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
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—44no—
944C2×C22⋊C4C2×D411yescharacteristic
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C42—21no—
955C2×C42—21no—
956C2×C42—21no—
957C2×C42—21no—
958C2×C42—21no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42C2411yescharacteristic
962C2×C42C2411yescharacteristic
963#107—22no—
964#107—22no—
965#107—22no—
966#107—22no—
967#106—22no—
968#106—22no—
969#106—22no—
970#106—22no—
971#103—22no—
972#103—22no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—41no—
984#103—41no—
985#102—22no—
986#102—22no—
987#102—22no—
988#102—22no—
989#102—22no—
990#102—22no—
991#102—22no—
992#102—22no—
993#102—22no—
994#102—22no—
995#102—22no—
996#102—22no—
997#102—41no—
998#102—41no—
999#102—41no—
1000#102—41no—
1001#102—41no—
1002#102—41no—
1003C22⋊C8—22no—
1004C22⋊C8—22no—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—41no—
1012C22⋊C8—41no—
1013C22⋊C8—41no—
1014C22⋊C8—41no—
1015C22⋊C8—41no—
1016C22⋊C8—41no—
1017C22⋊C8—41no—
1018C22⋊C8—41no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035C24—24no—
1036C24—21no—
1037C24—21no—
1038C24—21no—
1039C24—22no—
1040C24—22no—
1041C24—24no—
1042C24—41no—
1043C24—41no—
1044C24—41no—
1045C24—41no—
1046C24—41no—
1047C24—42no—
1048C24—42no—
1049C24—81no—
1050C24—81no—
1051C24—81no—
1052C24—81no—
1053C24—81no—
1054C24—81no—
1055C24—81no—
1056C24—81no—
1057C24—81no—
1058C24—81no—
1059C24C22×D411yescharacteristic
1060C24C22×D411yescharacteristic
1061C24C22×D411yescharacteristic
1062C24C22×D411yescharacteristic
1063C24C22×D411yescharacteristic
1064#41—44no—
1065#41—44no—
1066#41—44no—
1067#41—44no—
1068#41—44no—
1069#41—44no—
1070#41—82no—
1071#41—82no—
1072#41—82no—
1073#41—82no—
1074#41—816no—
1075#41—82no—
1076#41—82no—
1077C2×Q8—24no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—81no—
1101C2×Q8—81no—
1102C2×Q8—82no—
1103C2×Q8—82no—
1104C2×Q8—82no—
1105C2×Q8—82no—
1106C2×Q8#12014yes—
1107C2×Q8C22×D412yes—
1108C2×D4—24no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—24no—
1114C2×D4—24no—
1115C2×D4—24no—
1116C2×D4—24no—
1117C2×D4—24no—
1118C2×D4—24no—
1119C2×D4—22no—
1120C2×D4—24no—
1121C2×D4—24no—
1122C2×D4—22no—
1123C2×D4—24no—
1124C2×D4—24no—
1125C2×D4—24no—
1126C2×D4—24no—
1127C2×D4—24no—
1128C2×D4—24no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—82no—
1161C2×D4—82no—
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—82no—
1171C2×D4—82no—
1172C2×D4—82no—
1173C2×D4—82no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—816no—
1195C2×D4—816no—
1196C2×D4#12014yes—
1197C2×D4#12014yes—
1198C2×D4#12014yes—
1199C2×D4C22×D412yes—
1200C2×D4C22×D412yes—
1201C2×D4C22×D412yes—
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—24no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—82no—
1264C22×C4—82no—
1265C22×C4—82no—
1266C22×C4—82no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4—81no—
1272C22×C4—81no—
1273C22×C4—81no—
1274C22×C4—81no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4—81no—
1278C22×C4—81no—
1279C22×C4—81no—
1280C22×C4—81no—
1281C22×C4—81no—
1282C22×C4—81no—
1283C22×C4—81no—
1284C22×C4—81no—
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D411yescharacteristic
1289C22×C4C22×D411yescharacteristic
1290C22×C4C22×D411yescharacteristic
1291C22×C4C22×D411yescharacteristic
1292C22×C4C22×D411yescharacteristic
1293C22×C4C22×D411yescharacteristic
1294C22×C4C22×D412yes—
1295C22×C4C22×D412yes—
1296C22×C4C22×D412yes—
1297C22×C4C22×D412yes—
1298C22×C4C22×D412yes—
1299C22×C4C22×D412yes—
1300C22×C4C2511yescharacteristic
1301Q16—82no—
1302Q16—82no—
1303SD16—82no—
1304SD16—82no—
1305SD16—82no—
1306SD16—82no—
1307SD16—82no—
1308SD16—82no—
1309M16—82no—
1310M16—82no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—82no—
1336C2×C8—82no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—21no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—81no—
1378C4⋊C4—81no—
1379C4⋊C4—81no—
1380C4⋊C4—81no—
1381C4⋊C4C22×D412yes—
1382C4⋊C4C22×D412yes—
1383C4⋊C4C22×D412yes—
1384C4⋊C4C22×D412yes—
1385C4⋊C4H(5,𝔽2)12yes—
1386C4⋊C4H(5,𝔽2)12yes—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—22no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—81no—
1431C22⋊C4—81no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—21no—
1436C42—21no—
1437C42—21no—
1438C42—21no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—22no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—44no—
1478C23—44no—
1479C23—48no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—82no—
1499C23—82no—
1500C23—82no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—82no—
1505C23—82no—
1506C23—84no—
1507C23—84no—
1508C23—162no—
1509C23—162no—
1510C23—162no—
1511C23—162no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23C2×#12012yes—
1517C23C2×#12012yes—
1518C23C2×#12012yes—
1519C23#57712yes—
1520C23C23×D411yescharacteristic
1521Q8—22no—
1522Q8—22no—
1523Q8—44no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530Q8—41no—
1531Q8—41no—
1532Q8—41no—
1533Q8—41no—
1534Q8—84no—
1535Q8—84no—
1536D4—22no—
1537D4—22no—
1538D4—22no—
1539D4—22no—
1540D4—22no—
1541D4—22no—
1542D4—44no—
1543D4—44no—
1544D4—44no—
1545D4—44no—
1546D4—44no—
1547D4—48no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—84no—
1555D4—82no—
1556D4—82no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—84no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—48no—
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—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—82no—
1655C2×C4—82no—
1656C2×C4—84no—
1657C2×C4—82no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—162no—
1666C2×C4—162no—
1667C2×C4C2×#12012yes—
1668C2×C4C2×#12012yes—
1669C2×C4C2×#12012yes—
1670C2×C4C23×D411yescharacteristic
1671C2×C4C23×D411yescharacteristic
1672C2×C4C2×H(5,𝔽2)11yescharacteristic
1673C2×C4C2×H(5,𝔽2)11yescharacteristic
1674C2×C4#58511yescharacteristic
1675C2×C4#58511yescharacteristic
1676C8—41no—
1677C8—41no—
1678C8—41no—
1679C8—41no—
1680C8—41no—
1681C8—41no—
1682C8—41no—
1683C8—41no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—42no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—88no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—168no—
1742C22—168no—
1743C22C22×#12011yescharacteristic
1744C22#348411yescharacteristic
1745C22#348511yescharacteristic
1746C22C2×#57711yescharacteristic
1747C22#358411yescharacteristic
1748C22#358511yescharacteristic
1749C22#358611yescharacteristic
1750C4—22no—
1751C4—22no—
1752C4—22no—
1753C4—41no—
1754C4—41no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—41no—
1759C4—41no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—81no—
1767C4—81no—
1768C4—81no—
1769C4—81no—
1770C4—81no—
1771C4—81no—
1772C4#349611yescharacteristic
1773C4#349611yescharacteristic
1774C4#349611yescharacteristic
1775C4#349611yescharacteristic
1776C2—42no—
1777C2—42no—
1778C2—42no—
1779C2—42no—
1780C2—81no—
1781C2—82no—
1782C2—82no—
1783C2—82no—
1784C2#3534711yescharacteristic
1785C2#6037311yescharacteristic
1786C2#6037711yescharacteristic
1787C2#6161111yescharacteristic
1788C2#6161411yescharacteristic
1789C2#6177011yescharacteristic
1790C2#6178011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#3542C2
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
2. C2×#3201C2semidirect
3. C2×#3200C2semidirect
4. #35633C2semidirect
5. #25562C2semidirect
6. #25552C2semidirect
7. #25551C2semidirect
8. #25547C2semidirect
9. #25546C2semidirect
10. #25536C2semidirect
11. #25535C2semidirect
12. #25531C2semidirect
13. #24452C2semidirect
14. #24448C2semidirect
15. #24443C2semidirect
16. #24442C2semidirect
17. #24436C2semidirect
18. #24432C2semidirect
19. #24427C2semidirect
20. #24426C2semidirect
21. #24075C2semidirect
22. #24070C2semidirect
23. #24009C2semidirect
24. #24008C2semidirect
25. #23946C2semidirect
26. #23940C2semidirect
27. #23922C2semidirect
28. #23919C2semidirect
29. #21744C2semidirect
30. #20915C2semidirect
31. #20914C2semidirect
51. C2×#536C22semidirect
57. C22×C22⋊Q8C22semidirect
59. C2×#520C22semidirect
62. C2×#484C22semidirect
63. C2×#485C22semidirect
64. C2×#485C22semidirect
65. C2×#485C22semidirect
67. C2×#482C22semidirect
68. C2×#482C22semidirect
69. C2×#483C22semidirect
70. C2×#470C22semidirect
71. C2×#468C22semidirect
72. C2×#468C22semidirect
73. C2×#468C22semidirect
74. C2×#467C22semidirect
75. C2×#465C22semidirect
76. C2×#465C22semidirect
77. C2×#465C22semidirect
78. C2×#452C22semidirect
79. C2×#452C22semidirect
80. C2×#452C22semidirect
81. C2×#452C22semidirect
82. C2×#451C22semidirect
84. C2×#448C22semidirect
85. C2×#448C22semidirect
88. C2×#450C22semidirect
89. C2×#450C22semidirect
90. C2×#417C22semidirect
91. C2×#418C22semidirect
92. C2×#416C22semidirect
93. C22×#102C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
105. #2417C22semidirect
106. #2417C22semidirect
107. #2417C22semidirect
109. #2415C22semidirect
110. #2415C22semidirect
111. #2415C22semidirect
112. #2316C22semidirect
113. #2310C22semidirect
114. #2280C22semidirect
115. #2059C22semidirect
116. #2059C22semidirect
117. #2058C22semidirect
118. #2057C22semidirect
119. #2042C22semidirect
120. #2042C22semidirect
121. #2041C22semidirect
122. #2041C22semidirect
123. #2036C22semidirect
124. #2035C22semidirect
127. #2034C22semidirect
130. #2033C22semidirect
131. #2026C22semidirect
132. #2026C22semidirect
133. #2024C22semidirect
134. #2024C22semidirect
135. #2015C22semidirect
136. #2015C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2001C22semidirect
140. #2001C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #1878C22semidirect
148. #1878C22semidirect
149. #1877C22semidirect
150. #1877C22semidirect
151. #1877C22semidirect
152. #1877C22semidirect
153. #1877C22semidirect
154. #1877C22semidirect
156. #1875C22semidirect
157. #1875C22semidirect
158. #1875C22semidirect
159. #1875C22semidirect
160. #1875C22semidirect
162. #1874C22semidirect
163. #1874C22semidirect
164. #1874C22semidirect
165. #1874C22semidirect
166. #1874C22semidirect
167. #1873C22semidirect
168. #1873C22semidirect
169. #1873C22semidirect
170. #1873C22semidirect
171. #1872C22semidirect
172. #1872C22semidirect
173. #1872C22semidirect
174. #1872C22semidirect
176. #1870C22semidirect
177. #1870C22semidirect
178. #1870C22semidirect
180. #1869C22semidirect
181. #1869C22semidirect
182. #1869C22semidirect
183. #1865C22semidirect
184. #1864C22semidirect
185. #1864C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1862C22semidirect
189. #1862C22semidirect
190. #1862C22semidirect
191. #1854C22semidirect
192. #1854C22semidirect
193. #1853C22semidirect
194. #1852C22semidirect
195. #1818C22semidirect
196. #1818C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
201. #1779C22semidirect
202. #1779C22semidirect
203. #1736C22semidirect
204. #1736C22semidirect
205. #1735C22semidirect
206. C2×#340C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35422
C2×#32012
C2×#32002
#356332
#255622
#255522
#255512
#255472
#255462
#255362
#255352
#255312
#244522
#244482
#244432
#244422
#244362
#244322
#244272
#244262
#240752
#240702
#240092
#240082
#239462
#239402
#239222
#239192
#217442
#209152
#209142