Finite Group Databasebeta

← #6542562

Subgroups — #6542562

Order 512.

3224 conjugacy classes of subgroups.

The subgroup lattice has 1731 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3542C211yesmaximal, characteristic
2C2×#3348C211yesmaximal, characteristic, complemented
3C2×#3296C211yesmaximal, characteristic, complemented
4#37847C211yesmaximal, characteristic, complemented
5#29700C211yesmaximal, characteristic, complemented
6#29604C211yesmaximal, characteristic, complemented
7#29601C211yesmaximal, characteristic, complemented
8#25890C211yesmaximal, characteristic, complemented
9#25709C211yesmaximal, characteristic, complemented
10#25684C211yesmaximal, characteristic, complemented
11#25546C211yesmaximal, characteristic, complemented
12#25532C211yesmaximal, characteristic, complemented
13#24448C211yesmaximal, characteristic, complemented
14#24427C211yesmaximal, characteristic, complemented
15#24393C211yesmaximal, characteristic, complemented
16#24379C211yesmaximal, characteristic, complemented
17#24259C211yesmaximal, characteristic, complemented
18#24169C211yesmaximal, characteristic, complemented
19#24120C211yesmaximal, characteristic, complemented
20#24111C211yesmaximal, characteristic, complemented
21#24090C211yesmaximal, characteristic, complemented
22#24034C211yesmaximal, characteristic, complemented
23#24033C211yesmaximal, characteristic, complemented
24#24012C211yesmaximal, characteristic, complemented
25#24009C211yesmaximal, characteristic, complemented
26#23582C211yesmaximal, characteristic, complemented
27#23483C211yesmaximal, characteristic, complemented
28#23479C211yesmaximal, characteristic, complemented
29#22489C211yesmaximal, characteristic, complemented
30#22424C211yesmaximal, characteristic, complemented
31#22398C211yesmaximal, characteristic, complemented
32#3542—28no—
33#3542—28no—
34C2×#562—21no—
35C2×#560—21no—
36C2×#555C2211yescharacteristic
37C2×#553C2211yescharacteristic
38C2×#552C2211yescharacteristic
39C2×#552C2211yescharacteristic, complemented
40C2×#551—21no—
41C2×#550C2211yescharacteristic
42C2×#547C2211yescharacteristic
43C2×#546—21no—
44C2×#546C2211yescharacteristic
45C2×#546C2211yescharacteristic
46C2×D42C2211yescharacteristic
47C2×#542C2211yescharacteristic
48C2×#540—21no—
49C2×#540C2211yescharacteristic
50C2×#538—21no—
51C2×#537C2211yescharacteristic
52C2×#535—21no—
53C2×#535C2211yescharacteristic
54C2×#534—21no—
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C22×#121C2211yescharacteristic
58#3348—28no—
59#3296—28no—
60C2×#501C2211yescharacteristic, complemented
61C2×#488C2211yescharacteristic, complemented
62C2×#481C2211yescharacteristic, complemented
63C2×#485C2211yescharacteristic, complemented
64C2×#485C2211yescharacteristic, complemented
65C2×#482C2211yescharacteristic
66C2×#482C2211yescharacteristic, complemented
67C2×#483C2211yescharacteristic, complemented
68C2×#475C2211yescharacteristic, complemented
69C2×#478C2211yescharacteristic, complemented
70C2×#478C2211yescharacteristic, complemented
71C2×#468C2211yescharacteristic, complemented
72C2×#467C2211yescharacteristic, complemented
73C2×#465C2211yescharacteristic
74C2×#465C2211yescharacteristic, complemented
75C2×#464C2211yescharacteristic, complemented
76C2×#452C2211yescharacteristic, complemented
77C2×#452C2211yescharacteristic, complemented
78C2×#450C2211yescharacteristic
79C2×#450C2211yescharacteristic, complemented
80C2×#440C2211yescharacteristic, complemented
81C2×C4×SD16C2211yescharacteristic, complemented
82C2×#435C2211yescharacteristic, complemented
83C2×C8×D4C2211yescharacteristic, complemented
84C2×#428C2211yescharacteristic, complemented
85C2×#427C2211yescharacteristic, complemented
86C2×#418C2211yescharacteristic, complemented
87C2×#416C2211yescharacteristic, complemented
88C2×#416C2211yescharacteristic, complemented
89C22×#102C2211yescharacteristic, complemented
90C2×#408C2211yescharacteristic, complemented
91C22×C22⋊C8C2211yescharacteristic, complemented
92#2848C2211yescharacteristic, complemented
93#2701—21no—
94#2697—21no—
95#2689—21no—
96#2685—21no—
97#2629C2211yescharacteristic, complemented
98#2616C2211yescharacteristic, complemented
99#2562C2211yescharacteristic, complemented
100#2558—21no—
101#2556—21no—
102#2538C2211yescharacteristic, complemented
103#2487C2211yescharacteristic
104#2485C2211yescharacteristic, complemented
105#2476—21no—
106#2470—21no—
107#2415C2211yescharacteristic
108#2415C2211yescharacteristic, complemented
109#2354C2211yescharacteristic, complemented
110#2323C2211yescharacteristic, complemented
111#2311C2211yescharacteristic, complemented
112#2280C2211yescharacteristic, complemented
113#2059C2211yescharacteristic, complemented
114#2059C2211yescharacteristic, complemented
115#2059C2211yescharacteristic, complemented
116#2041C2211yescharacteristic, complemented
117#2041C2211yescharacteristic, complemented
118#2041C2211yescharacteristic, complemented
119#2036C2211yescharacteristic, complemented
120#2036C2211yescharacteristic, complemented
121#2036C2211yescharacteristic, complemented
122#2035C2211yescharacteristic, complemented
123#2035C2211yescharacteristic, complemented
124#2035C2211yescharacteristic, complemented
125#2034C2211yescharacteristic
126#2034C2211yescharacteristic
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2033C2211yescharacteristic
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2026C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2001C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1990C2211yescharacteristic, complemented
154#1987C2211yescharacteristic, complemented
155#1983C2211yescharacteristic, complemented
156#1959C2211yescharacteristic, complemented
157#1955C2211yescharacteristic, complemented
158#1954C2211yescharacteristic, complemented
159#1894C2211yescharacteristic, complemented
160#1893C2211yescharacteristic
161#1893C2211yescharacteristic, complemented
162#1893C2211yescharacteristic, complemented
163#1878C2211yescharacteristic, complemented
164#1877C2211yescharacteristic, complemented
165#1875C2211yescharacteristic
166#1875C2211yescharacteristic, complemented
167#1875C2211yescharacteristic, complemented
168#1873C2211yescharacteristic, complemented
169#1872C2211yescharacteristic, complemented
170#1872C2211yescharacteristic, complemented
171#1870C2211yescharacteristic
172#1869C2211yescharacteristic
173#1869C2211yescharacteristic, complemented
174#1869C2211yescharacteristic, complemented
175#1865C2211yescharacteristic, complemented
176#1865C2211yescharacteristic, complemented
177#1864C2211yescharacteristic, complemented
178#1864C2211yescharacteristic, complemented
179#1863C2211yescharacteristic, complemented
180#1862C2211yescharacteristic, complemented
181#1853C2211yescharacteristic, complemented
182#1853C2211yescharacteristic, complemented
183#1853C2211yescharacteristic, complemented
184#1853C2211yescharacteristic, complemented
185#1852C2211yescharacteristic, complemented
186#1852C2211yescharacteristic, complemented
187#1825C2211yescharacteristic, complemented
188#1825C2211yescharacteristic, complemented
189#1802C2211yescharacteristic, complemented
190#1802C2211yescharacteristic, complemented
191#1798C2211yescharacteristic, complemented
192#1788C2211yescharacteristic, complemented
193#1788C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic, complemented
200#1780C2211yescharacteristic, complemented
201#1779C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203C4×#102C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, complemented
205#1735C2211yescharacteristic, complemented
206#1735C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C22×#41C2311yescharacteristic
211C23×D4—21no—
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C22×Q16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×M16C2311yescharacteristic
221C23×C8C2311yescharacteristic
222C23×C8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224#562—216no—
225#560—216no—
226#555—24no—
227#555D418yes—
228#553—24no—
229#553—24no—
230#552—24no—
231#552—24no—
232#552—24no—
233#552—24no—
234#551—216no—
235#550—24no—
236#550—24no—
237#547—24no—
238#547—24no—
239#546—216no—
240#546—24no—
241#546—24no—
242#546—24no—
243#546D418yes—
244D42—24no—
245D42—24no—
246#542—24no—
247#542—24no—
248#540—216no—
249#540—24no—
250#540—24no—
251#538—216no—
252#537—24no—
253#537—24no—
254#535—216no—
255#535—24no—
256#535—24no—
257#534—216no—
258C2×C4⋊Q8C2311yescharacteristic
259C2×#127—21no—
260C2×#127—21no—
261C2×#127C2311yescharacteristic
262C2×#126—21no—
263C2×#126—21no—
264C2×#126—21no—
265C2×#126—21no—
266C2×#125—21no—
267C2×#125—21no—
268C2×#125C2311yescharacteristic
269C2×#125C2311yescharacteristic
270C2×#124—21no—
271C2×#124—21no—
272C2×#124—21no—
273C2×#124—21no—
274C2×#124C2311yescharacteristic
275#525—24no—
276#525—24no—
277#525—24no—
278#525—24no—
279C2×#123—21no—
280C2×#123—21no—
281C2×#123—21no—
282C2×#123—21no—
283C2×#123—21no—
284C2×#123—21no—
285C2×#123—21no—
286C2×#123—21no—
287C2×#123—21no—
288C2×#123—21no—
289C2×#123—21no—
290C2×#123D411yescharacteristic
291C2×#123D411yescharacteristic
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8D411yescharacteristic
296C2×C22⋊Q8D411yescharacteristic
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—24no—
313C2×#121—24no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121—21no—
320C2×#121—21no—
321C2×#121D411yescharacteristic
322C2×#121D411yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338C2×#120—21no—
339C2×#120D411yescharacteristic
340C2×#120D411yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×D4—21no—
344C2×C4×D4—21no—
345C2×C4×D4—21no—
346C2×C4×D4—21no—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×#117—21no—
355C2×#117—21no—
356C2×#117—21no—
357C2×#117C2311yescharacteristic
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C22⋊C4—21no—
367C22×C22⋊C4—21no—
368C22×C22⋊C4—21no—
369#501—24no—
370#488—24no—
371#485—24no—
372#485—24no—
373#483—24no—
374#482—24no—
375#482—24no—
376#481—24no—
377#478—24no—
378#478—24no—
379#475—24no—
380#468—24no—
381#467—24no—
382#465—24no—
383#465—24no—
384#464—24no—
385#452—24no—
386#452—42no—
387#450—24no—
388#450—42no—
389#440—24no—
390C4×SD16—24no—
391#435—24no—
392C8×D4—24no—
393#428—24no—
394#427—24no—
395C2×#107C2311yescharacteristic
396C2×#107C2311yescharacteristic
397C2×#107C2311yescharacteristic
398C2×#107C2311yescharacteristic
399C2×#107C2311yescharacteristic
400C2×#106C2311yescharacteristic
401C2×#106C2311yescharacteristic
402C2×#106C2311yescharacteristic
403C2×#106C2311yescharacteristic
404C2×#106C2311yescharacteristic
405C2×#106C2311yescharacteristic
406C2×#106C2311yescharacteristic
407C2×C4⋊C8C2311yescharacteristic
408C2×C4⋊C8C2311yescharacteristic
409#418—42no—
410#416—24no—
411#416—42no—
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#103C2311yescharacteristic
418C2×#103C2311yescharacteristic
419C2×#103C2311yescharacteristic
420C2×#103C2311yescharacteristic
421C2×#103C2311yescharacteristic
422C2×#103C2311yescharacteristic
423C2×#102—24no—
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445#408—42no—
446C2×C22⋊C8—42no—
447C2×C22⋊C8C2311yescharacteristic
448C2×C22⋊C8C2311yescharacteristic
449C2×C22⋊C8C2311yescharacteristic
450C2×C22⋊C8C2311yescharacteristic
451C2×C22⋊C8C2311yescharacteristic
452C2×C22⋊C8C2311yescharacteristic
453C2×C22⋊C8C2311yescharacteristic
454C2×C22⋊C8C2311yescharacteristic
455C2×C22⋊C8C2311yescharacteristic
456C2×C22⋊C8C2311yescharacteristic
457C2×C22⋊C8C2311yescharacteristic
458C2×C22⋊C8C2311yescharacteristic
459C2×C22⋊C8C2311yescharacteristic
460C2×C22⋊C8C2311yescharacteristic
461C2×C22⋊C8C2311yescharacteristic
462C2×C22⋊C8C2311yescharacteristic
463C2×#97C2311yescharacteristic
464C2×C4×C8C2311yescharacteristic
465#400—21no—
466#400—21no—
467#399—21no—
468#398—21no—
469#398—21no—
470#397—21no—
471#397—21no—
472#397—21no—
473#396—21no—
474#396—21no—
475#396—21no—
476#396—21no—
477#395—21no—
478#394—21no—
479#394—21no—
480#394—21no—
481#394—21no—
482#394—21no—
483#394—21no—
484#394—21no—
485#391—21no—
486#391C2311yescharacteristic
487#390—21no—
488#390—21no—
489#390—21no—
490#389—21no—
491#389—21no—
492#389—21no—
493#389—21no—
494#389C2311yescharacteristic
495#389C2311yescharacteristic
496#389C2311yescharacteristic
497#388—21no—
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#387—21no—
507#387—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#385—21no—
512#385—21no—
513#385—21no—
514#385—21no—
515#384C2311yescharacteristic
516#381—21no—
517#380C2311yescharacteristic
518#380C2311yescharacteristic
519#380C2311yescharacteristic
520#380C2311yescharacteristic
521#380C2311yescharacteristic
522#380C2311yescharacteristic
523#380C2311yescharacteristic
524#380C2311yescharacteristic
525#380C2311yescharacteristic
526#380C2311yescharacteristic
527#380C2311yescharacteristic
528#379—21no—
529#379—21no—
530C4×C4⋊C4—21no—
531C4×C4⋊C4C2311yescharacteristic
532C4×C22⋊C4—21no—
533C4×C22⋊C4—21no—
534#340C2311yescharacteristic
535#340C2311yescharacteristic
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#336C2311yescharacteristic
551#336C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554C25—21no—
555C25—21no—
556C25C2×D411yescharacteristic
557C2×#41—28no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—82no—
576C2×#41—82no—
577C2×#41C2×D414yes—
578C22×Q8—21no—
579C22×Q8C2×D411yescharacteristic
580C22×Q8C2411yescharacteristic
581C22×Q8C2411yescharacteristic
582C22×D4—21no—
583C22×D4—28no—
584C22×D4—28no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—82no—
611C22×D4—82no—
612C22×D4—82no—
613C22×D4—82no—
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D414yes—
621C22×D4C2×D411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—22no—
633C23×C4—22no—
634C23×C4—21no—
635C23×C4—41no—
636C23×C4—41no—
637C23×C4—41no—
638C23×C4—41no—
639C23×C4C2×D411yescharacteristic
640C23×C4C2×D411yescharacteristic
641C23×C4C2×D411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C2×Q16—22no—
648C2×Q16—41no—
649C2×Q16—41no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×M16—22no—
660C2×M16—22no—
661C2×M16—41no—
662C22×C8—22no—
663C22×C8—22no—
664C22×C8—22no—
665C22×C8—22no—
666C22×C8—41no—
667C22×C8—41no—
668C22×C8—41no—
669C22×C8—41no—
670C22×C8—41no—
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C4⋊Q8—22no—
680C4⋊Q8C2×D414yes—
681#127—28no—
682#127—28no—
683#127—22no—
684#127—22no—
685#126—28no—
686#126—28no—
687#126—28no—
688#126—44no—
689#125—28no—
690#125—22no—
691#125—22no—
692#125—22no—
693#125—22no—
694#125—44no—
695#124—28no—
696#124—28no—
697#124—28no—
698#124—28no—
699#124—22no—
700#124C2×D414yes—
701#123—28no—
702#123—28no—
703#123—28no—
704#123—28no—
705#123—28no—
706#123—28no—
707#123—28no—
708#123—28no—
709#123—28no—
710#123—28no—
711#123—24no—
712#123—24no—
713#123—44no—
714C22⋊Q8—28no—
715C22⋊Q8—28no—
716C22⋊Q8—28no—
717C22⋊Q8—22no—
718C22⋊Q8—22no—
719C22⋊Q8—22no—
720C22⋊Q8—24no—
721C22⋊Q8—22no—
722C22⋊Q8—22no—
723C22⋊Q8—24no—
724C22⋊Q8—22no—
725C22⋊Q8—22no—
726C22⋊Q8—22no—
727C22⋊Q8—22no—
728C22⋊Q8—41no—
729C22⋊Q8—41no—
730C22⋊Q8—41no—
731C22⋊Q8—41no—
732C22⋊Q8—41no—
733C22⋊Q8—41no—
734C22⋊Q8C2×D414yes—
735#121—28no—
736#121—28no—
737#121—28no—
738#121—28no—
739#121—28no—
740#121—28no—
741#121—28no—
742#121—28no—
743#121—28no—
744#121—28no—
745#121—28no—
746#121—28no—
747#121—28no—
748#121—24no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—28no—
765#121—24no—
766#121C2×D414yes—
767#121C2×D414yes—
768#121C2×D414yes—
769#120—28no—
770#120—28no—
771#120—28no—
772#120—28no—
773#120—28no—
774#120—28no—
775#120—28no—
776#120—24no—
777#120—24no—
778C4×Q8—22no—
779C4×Q8—22no—
780C4×Q8—22no—
781C4×Q8—22no—
782C4×D4—28no—
783C4×D4—28no—
784C4×D4—28no—
785C4×D4—28no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4C2×D414yes—
797C4×D4C2×D414yes—
798C4×D4C2×D414yes—
799C4×D4C2×D414yes—
800#117—28no—
801#117—22no—
802#117—22no—
803#117—28no—
804#117—22no—
805#117—22no—
806#117—22no—
807#117—22no—
808#117—44no—
809#117—41no—
810#117—41no—
811#117—41no—
812#117—41no—
813#117C2×D414yes—
814#117C2×D414yes—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—22no—
825C2×C4⋊C4—22no—
826C2×C4⋊C4—22no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—22no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2×D411yescharacteristic
846C2×C4⋊C4C2×D411yescharacteristic
847C2×C4⋊C4C2×D411yescharacteristic
848C2×C4⋊C4C2×D411yescharacteristic
849C2×C4⋊C4C2×D411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
859C2×C4⋊C4C2411yescharacteristic
860C2×C4⋊C4C2411yescharacteristic
861C2×C22⋊C4—28no—
862C2×C22⋊C4—28no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—28no—
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⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C22⋊C4C2×D411yescharacteristic
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C42—21no—
913C2×C42—21no—
914C2×C42—21no—
915C2×C42—21no—
916C2×C42—21no—
917C2×C42—21no—
918C2×C42—21no—
919C2×C42—21no—
920C2×C42C2411yescharacteristic
921C2×C42C2411yescharacteristic
922#107—22no—
923#107—22no—
924#107—22no—
925#107—22no—
926#107—22no—
927#106—22no—
928#106—22no—
929#106—22no—
930#106—22no—
931#106—22no—
932#106—22no—
933#106—22no—
934C4⋊C8—22no—
935C4⋊C8—22no—
936#103—22no—
937#103—22no—
938#103—22no—
939#103—22no—
940#103—22no—
941#103—22no—
942#103—22no—
943#103—22no—
944#103—41no—
945#103—41no—
946#103—41no—
947#102—22no—
948#102—22no—
949#102—22no—
950#102—22no—
951#102—22no—
952#102—22no—
953#102—22no—
954#102—22no—
955#102—22no—
956#102—22no—
957#102—22no—
958#102—41no—
959#102—41no—
960#102—41no—
961#102—41no—
962#102—41no—
963#102—41no—
964#102—41no—
965#102—41no—
966#102—41no—
967#102—41no—
968C22⋊C8—22no—
969C22⋊C8—22no—
970C22⋊C8—22no—
971C22⋊C8—22no—
972C22⋊C8—22no—
973C22⋊C8—22no—
974C22⋊C8—22no—
975C22⋊C8—41no—
976C22⋊C8—41no—
977C22⋊C8—41no—
978C22⋊C8—41no—
979C22⋊C8—41no—
980C22⋊C8—41no—
981C22⋊C8—41no—
982C22⋊C8—41no—
983C22⋊C8—41no—
984#97—22no—
985C4×C8—22no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95—21no—
990#95—21no—
991#95—21no—
992#95—21no—
993#95—21no—
994#95—21no—
995#95—21no—
996#95—21no—
997#95—21no—
998#95—21no—
999#95—21no—
1000#95—21no—
1001#95—21no—
1002#95—21no—
1003C24—24no—
1004C24—21no—
1005C24—21no—
1006C24—21no—
1007C24—22no—
1008C24—22no—
1009C24—24no—
1010C24—41no—
1011C24—41no—
1012C24—41no—
1013C24—41no—
1014C24—41no—
1015C24—42no—
1016C24—42no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24C22×D411yescharacteristic
1028C24C22×D411yescharacteristic
1029C24C22×D411yescharacteristic
1030C24C22×D411yescharacteristic
1031C24C22×D411yescharacteristic
1032#41—44no—
1033#41—44no—
1034#41—82no—
1035#41—82no—
1036#41—82no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040#41—82no—
1041#41—82no—
1042#41—816no—
1043#41—82no—
1044#41—82no—
1045C2×Q8—22no—
1046C2×Q8—24no—
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—41no—
1059C2×Q8—41no—
1060C2×Q8—81no—
1061C2×Q8—81no—
1062C2×Q8C22×D412yes—
1063C2×D4—24no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—24no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—24no—
1071C2×D4—24no—
1072C2×D4—24no—
1073C2×D4—24no—
1074C2×D4—24no—
1075C2×D4—24no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—22no—
1079C2×D4—24no—
1080C2×D4—24no—
1081C2×D4—24no—
1082C2×D4—24no—
1083C2×D4—22no—
1084C2×D4—24no—
1085C2×D4—22no—
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—44no—
1102C2×D4—44no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—82no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
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×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—816no—
1152C2×D4—816no—
1153C2×D4#12014yes—
1154C2×D4C22×D412yes—
1155C2×D4C22×D412yes—
1156C2×D4C22×D412yes—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—24no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—22no—
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—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—22no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—22no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—82no—
1216C22×C4—82no—
1217C22×C4—82no—
1218C22×C4—82no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4—81no—
1232C22×C4—81no—
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×C4C22×D412yes—
1243C22×C4C22×D412yes—
1244C22×C4C22×D412yes—
1245C22×C4C22×D412yes—
1246C22×C4C2511yescharacteristic
1247Q16—82no—
1248SD16—44no—
1249SD16—44no—
1250SD16—82no—
1251M16—44no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
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—44no—
1276C2×C8—82no—
1277C2×C8—82no—
1278C2×C8H(5,𝔽2)12yes—
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—22no—
1289C4⋊C4—22no—
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—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C4⋊C4—81no—
1324C4⋊C4—81no—
1325C4⋊C4#12014yes—
1326C4⋊C4C22×D412yes—
1327C4⋊C4C22×D412yes—
1328C4⋊C4C22×D412yes—
1329C4⋊C4C22×D412yes—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—24no—
1345C22⋊C4—22no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4#12014yes—
1377C22⋊C4#12014yes—
1378C42—24no—
1379C42—24no—
1380C42—24no—
1381C42—21no—
1382C42—21no—
1383C42—42no—
1384C42—42no—
1385C42—81no—
1386C42—81no—
1387C42—81no—
1388C42C22×D412yes—
1389C42C22×D412yes—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—22no—
1415C23—21no—
1416C23—22no—
1417C23—22no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—44no—
1426C23—44no—
1427C23—48no—
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—41no—
1445C23—41no—
1446C23—82no—
1447C23—82no—
1448C23—82no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—82no—
1453C23—82no—
1454C23—84no—
1455C23—84no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23C2×#12012yes—
1465C23C2×#12012yes—
1466C23#57712yes—
1467C23C23×D411yescharacteristic
1468Q8—22no—
1469Q8—22no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—82no—
1477Q8—84no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—22no—
1484D4—44no—
1485D4—44no—
1486D4—44no—
1487D4—48no—
1488D4—41no—
1489D4—41no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—84no—
1495D4—82no—
1496D4—82no—
1497D4—82no—
1498D4—82no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—84no—
1503D4—84no—
1504D4—84no—
1505D4—84no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—48no—
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—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—82no—
1596C2×C4—82no—
1597C2×C4—84no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4—82no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4C2×#12012yes—
1606C2×C4C2×#12012yes—
1607C2×C4C2×#12012yes—
1608C2×C4C2×#12012yes—
1609C2×C4C23×D411yescharacteristic
1610C2×C4C23×D411yescharacteristic
1611C2×C4C2×H(5,𝔽2)11yescharacteristic
1612C2×C4#58511yescharacteristic
1613C2×C4#58511yescharacteristic
1614C2×C4#58511yescharacteristic
1615C8—22no—
1616C8—41no—
1617C8—41no—
1618C8—41no—
1619C8—41no—
1620C8—41no—
1621C8—41no—
1622C8—41no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—88no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—168no—
1681C22—168no—
1682C22C22×#12011yescharacteristic
1683C22#348511yescharacteristic
1684C22#349611yescharacteristic
1685C22C2×#57711yescharacteristic
1686C22#358411yescharacteristic
1687C22#358411yescharacteristic
1688C22#358511yescharacteristic
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—81no—
1704C4—81no—
1705C4—81no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4#348511yescharacteristic
1712C4#348811yescharacteristic
1713C4#349611yescharacteristic
1714C4#350011yescharacteristic
1715C2—42no—
1716C2—42no—
1717C2—42no—
1718C2—81no—
1719C2—81no—
1720C2—82no—
1721C2—82no—
1722C2—82no—
1723C2#3575011yescharacteristic
1724C2#6036611yescharacteristic
1725C2#6037311yescharacteristic
1726C2#6174911yescharacteristic
1727C2#6177011yescharacteristic
1728C2#6227711yescharacteristic
1729C2#6231311yescharacteristic
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×#3348C2semidirect
3. C2×#3296C2semidirect
4. #37847C2semidirect
5. #29700C2semidirect
6. #29604C2semidirect
7. #29601C2semidirect
8. #25890C2semidirect
9. #25709C2semidirect
10. #25684C2semidirect
11. #25546C2semidirect
12. #25532C2semidirect
13. #24448C2semidirect
14. #24427C2semidirect
15. #24393C2semidirect
16. #24379C2semidirect
17. #24259C2semidirect
18. #24169C2semidirect
19. #24120C2semidirect
20. #24111C2semidirect
21. #24090C2semidirect
22. #24034C2semidirect
23. #24033C2semidirect
24. #24012C2semidirect
25. #24009C2semidirect
26. #23582C2semidirect
27. #23483C2semidirect
28. #23479C2semidirect
29. #22489C2semidirect
30. #22424C2semidirect
31. #22398C2semidirect
39. C2×#552C22semidirect
60. C2×#501C22semidirect
61. C2×#488C22semidirect
62. C2×#481C22semidirect
63. C2×#485C22semidirect
64. C2×#485C22semidirect
66. C2×#482C22semidirect
67. C2×#483C22semidirect
68. C2×#475C22semidirect
69. C2×#478C22semidirect
70. C2×#478C22semidirect
71. C2×#468C22semidirect
72. C2×#467C22semidirect
74. C2×#465C22semidirect
75. C2×#464C22semidirect
76. C2×#452C22semidirect
77. C2×#452C22semidirect
79. C2×#450C22semidirect
80. C2×#440C22semidirect
81. C2×C4×SD16C22semidirect
82. C2×#435C22semidirect
83. C2×C8×D4C22semidirect
84. C2×#428C22semidirect
85. C2×#427C22semidirect
86. C2×#418C22semidirect
87. C2×#416C22semidirect
88. C2×#416C22semidirect
89. C22×#102C22semidirect
90. C2×#408C22semidirect
91. C22×C22⋊C8C22semidirect
92. #2848C22semidirect
97. #2629C22semidirect
98. #2616C22semidirect
99. #2562C22semidirect
102. #2538C22semidirect
104. #2485C22semidirect
108. #2415C22semidirect
109. #2354C22semidirect
110. #2323C22semidirect
111. #2311C22semidirect
112. #2280C22semidirect
113. #2059C22semidirect
114. #2059C22semidirect
115. #2059C22semidirect
116. #2041C22semidirect
117. #2041C22semidirect
118. #2041C22semidirect
119. #2036C22semidirect
120. #2036C22semidirect
121. #2036C22semidirect
122. #2035C22semidirect
123. #2035C22semidirect
124. #2035C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2026C22semidirect
144. #2014C22semidirect
145. #2001C22semidirect
146. #2001C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #1990C22semidirect
154. #1987C22semidirect
155. #1983C22semidirect
156. #1959C22semidirect
157. #1955C22semidirect
158. #1954C22semidirect
159. #1894C22semidirect
161. #1893C22semidirect
162. #1893C22semidirect
163. #1878C22semidirect
164. #1877C22semidirect
166. #1875C22semidirect
167. #1875C22semidirect
168. #1873C22semidirect
169. #1872C22semidirect
170. #1872C22semidirect
173. #1869C22semidirect
174. #1869C22semidirect
175. #1865C22semidirect
176. #1865C22semidirect
177. #1864C22semidirect
178. #1864C22semidirect
179. #1863C22semidirect
180. #1862C22semidirect
181. #1853C22semidirect
182. #1853C22semidirect
183. #1853C22semidirect
184. #1853C22semidirect
185. #1852C22semidirect
186. #1852C22semidirect
187. #1825C22semidirect
188. #1825C22semidirect
189. #1802C22semidirect
190. #1802C22semidirect
191. #1798C22semidirect
192. #1788C22semidirect
193. #1788C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
199. #1786C22semidirect
200. #1780C22semidirect
201. #1779C22semidirect
202. #1762C22semidirect
203. C4×#102C22semidirect
204. #1750C22semidirect
205. #1735C22semidirect
206. #1735C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35422
C2×#33482
C2×#32962
#378472
#297002
#296042
#296012
#258902
#257092
#256842
#255462
#255322
#244482
#244272
#243932
#243792
#242592
#241692
#241202
#241112
#240902
#240342
#240332
#240122
#240092
#235822
#234832
#234792
#224892
#224242
#223982