Finite Group Databasebeta

← #7145899

Subgroups — #7145899

Order 512.

2310 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3313C211yesmaximal, characteristic, complemented
2C2×#3268C211yesmaximal, characteristic, complemented
3#59818C211yesmaximal, characteristic, complemented
4#39747C211yesmaximal, characteristic, complemented
5#31061C211yesmaximal, characteristic, complemented
6#31059C211yesmaximal, characteristic, complemented
7#31021C211yesmaximal, characteristic, complemented
8#31020C211yesmaximal, characteristic, complemented
9#30578C211yesmaximal, characteristic, complemented
10#30560C211yesmaximal, characteristic, complemented
11#30413C211yesmaximal, characteristic, complemented
12#30405C211yesmaximal, characteristic, complemented
13#28621C211yesmaximal, characteristic, complemented
14#28371C211yesmaximal, characteristic, complemented
15#25898C211yesmaximal, characteristic, complemented
16#25768C211yesmaximal, characteristic, complemented
17#25396C211yesmaximal, characteristic, complemented
18#25352C211yesmaximal, characteristic, complemented
19#25138C211yesmaximal, characteristic, complemented
20#25109C211yesmaximal, characteristic, complemented
21#24455C211yesmaximal, characteristic, complemented
22#24428C211yesmaximal, characteristic, complemented
23#24277C211yesmaximal, characteristic, complemented
24#24266C211yesmaximal, characteristic, complemented
25#24254C211yesmaximal, characteristic, complemented
26#24131C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23854C211yesmaximal, characteristic, complemented
29#23687C211yesmaximal, characteristic, complemented
30#23174C211yesmaximal, characteristic, complemented
31#22150C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#135C2211yescharacteristic
34C2×#556C2211yescharacteristic, complemented
35C2×#550C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#548C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×#546C2211yescharacteristic
40#3313—28no—
41#3268—28no—
42C2×#496C2211yescharacteristic
43C2×#489C2211yescharacteristic
44C2×#485C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic
46C2×#477C2211yescharacteristic, complemented
47C2×#476C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#467C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#464C2211yescharacteristic
55C2×#460C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic
65C2×#451C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic, complemented
67C2×#448C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic
69C2×#441C2211yescharacteristic, complemented
70C2×#440C2211yescharacteristic
71C2×#436C2211yescharacteristic
72C2×#435C2211yescharacteristic
73C2×#435C2211yescharacteristic, complemented
74C2×C8×D4C2211yescharacteristic, complemented
75C2×#419C2211yescharacteristic, complemented
76C2×#416C2211yescharacteristic
77#2858C2211yescharacteristic, complemented
78#2714—21no—
79#2714—21no—
80#2714—21no—
81#2714—21no—
82#2680—21no—
83#2669—21no—
84#2657—21no—
85#2555—21no—
86#2548—21no—
87#2547C2211yescharacteristic
88#2544—21no—
89#2541C2211yescharacteristic, complemented
90#2536C2211yescharacteristic
91#2536C2211yescharacteristic
92#2535C2211yescharacteristic
93#2535C2211yescharacteristic
94#2472—21no—
95#2472—21no—
96#2464—21no—
97#2464—21no—
98#2414C2211yescharacteristic
99#2414C2211yescharacteristic
100#2414C2211yescharacteristic, complemented
101#2414C2211yescharacteristic, complemented
102#2409C2211yescharacteristic
103#2408C2211yescharacteristic
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic
106#2407C2211yescharacteristic
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic, complemented
109#2407C2211yescharacteristic, complemented
110#2358—21no—
111#2326—21no—
112C4×#127C2211yescharacteristic
113C4×#124C2211yescharacteristic
114C4×#124C2211yescharacteristic
115#2295C2211yescharacteristic, complemented
116#2092C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2085C2211yescharacteristic, complemented
119#2076C2211yescharacteristic
120#2075C2211yescharacteristic, complemented
121#2074C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2065C2211yescharacteristic
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2054C2211yescharacteristic
129#2054C2211yescharacteristic
130#2042C2211yescharacteristic
131#2036C2211yescharacteristic
132#2035C2211yescharacteristic
133#2035C2211yescharacteristic
134#2035C2211yescharacteristic, complemented
135#2035C2211yescharacteristic, complemented
136#2035C2211yescharacteristic, complemented
137#2034C2211yescharacteristic
138#2034C2211yescharacteristic
139#2034C2211yescharacteristic
140#2034C2211yescharacteristic, complemented
141#2034C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2015C2211yescharacteristic
144#2012C2211yescharacteristic
145#2012C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1993C2211yescharacteristic, complemented
157#1983C2211yescharacteristic
158#1970C2211yescharacteristic
159#1970C2211yescharacteristic
160#1969C2211yescharacteristic, complemented
161#1968C2211yescharacteristic
162#1968C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1961C2211yescharacteristic, complemented
165#1955C2211yescharacteristic
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic
168#1954C2211yescharacteristic, complemented
169#1949C2211yescharacteristic, complemented
170#1934C2211yescharacteristic
171#1933C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic
174#1893C2211yescharacteristic, complemented
175#1892C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic
180#1878C2211yescharacteristic, complemented
181#1877C2211yescharacteristic
182#1875C2211yescharacteristic
183#1875C2211yescharacteristic
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic
187#1869C2211yescharacteristic, complemented
188#1865C2211yescharacteristic, complemented
189#1862C2211yescharacteristic
190#1854C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1809C2211yescharacteristic
193#1808C2211yescharacteristic, complemented
194#1805C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1767C2211yescharacteristic, complemented
202C4×C4⋊C8C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×Q8C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C2×#135—24no—
215C2×#135—42no—
216C2×#135—42no—
217C22×Q16C2311yescharacteristic
218C22×Q16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233#556—24no—
234#556—42no—
235#550—24no—
236#550—42no—
237#548—24no—
238#548—42no—
239#548—42no—
240#548—42no—
241#546—24no—
242#546—42no—
243#546—42no—
244#546—42no—
245C2×C4⋊Q8C2311yescharacteristic
246C2×#127—21no—
247C2×#127—21no—
248C2×#127D411yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#126—21no—
251C2×#126—21no—
252C2×#124—21no—
253C2×#124—21no—
254C2×#124—21no—
255C2×#124—21no—
256C2×#124—21no—
257C2×#124—21no—
258C2×#124C2311yescharacteristic
259C2×#124C2311yescharacteristic
260C2×#123—21no—
261C2×#123—21no—
262C2×C22⋊Q8—21no—
263C2×C22⋊Q8—21no—
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×C4×Q8—21no—
290C2×C4×Q8C2311yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2311yescharacteristic
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×#117C2311yescharacteristic
305C2×#117C2311yescharacteristic
306C22×C22⋊C4—21no—
307C22×C22⋊C4—21no—
308#496—24no—
309#489—24no—
310#485—24no—
311#482—24no—
312#477—24no—
313#476—42no—
314#469—42no—
315#468—24no—
316#468—24no—
317#467—24no—
318#466—24no—
319#466—42no—
320#464D418yescomplemented
321#460—42no—
322#459—24no—
323#452—24no—
324#452—24no—
325#452—42no—
326#452—42no—
327#451—24no—
328#449—24no—
329#449—24no—
330#449—42no—
331#449—42no—
332#448—42no—
333#448—42no—
334#447—24no—
335#441—24no—
336#440—24no—
337#436—42no—
338#435—24no—
339#435—24no—
340C8×D4—42no—
341C2×#107C2311yescharacteristic
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#107C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353#419—24no—
354#416—24no—
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×#97C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403#398—21no—
404#398—21no—
405#397—21no—
406#397—21no—
407#397—21no—
408#397—21no—
409#395—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#393—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#391—21no—
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#390—21no—
445#390—21no—
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390D411yescharacteristic
452#390D411yescharacteristic
453#390D411yescharacteristic
454#390D411yescharacteristic
455#390D411yescharacteristic
456#390D411yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#387—21no—
478#387—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#384D411yescharacteristic
498#382C2311yescharacteristic
499#382C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#379—21no—
509C4×C4⋊C4—21no—
510C4×C4⋊C4C2311yescharacteristic
511C4×C22⋊C4—21no—
512C4×C22⋊C4—21no—
513C4×C22⋊C4—21no—
514C4×C22⋊C4—21no—
515#376—21no—
516C43C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C22×Q8—21no—
559C22×Q8—21no—
560C22×Q8—22no—
561C22×Q8—22no—
562C22×Q8—41no—
563C22×Q8—41no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8C2411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4C2×D411yescharacteristic
593C22×D4C2×D411yescharacteristic
594C22×D4C2×D411yescharacteristic
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2411yescharacteristic
599C22×D4C2411yescharacteristic
600C22×D4C2411yescharacteristic
601C22×D4C2411yescharacteristic
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4—21no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613AGL(1,ℤ/8)—416no—
614#135—416no—
615C2×Q16—22no—
616C2×Q16—22no—
617C2×Q16—41no—
618C2×Q16—41no—
619C2×Q16—41no—
620C2×Q16C2×D414yes—
621C2×SD16—22no—
622C2×SD16—22no—
623C2×SD16—22no—
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16C2×D414yes—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×D8—41no—
651C2×M16—22no—
652C2×M16—22no—
653C2×M16—22no—
654C2×M16—41no—
655C2×M16—41no—
656C2×M16—41no—
657C22×C8—22no—
658C22×C8—22no—
659C22×C8—22no—
660C22×C8—41no—
661C22×C8—41no—
662C22×C8—41no—
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C4⋊Q8—22no—
672C4⋊Q8—22no—
673#127—22no—
674#127—22no—
675#127—42no—
676#127—44no—
677#127—82no—
678#126—44no—
679#126—44no—
680#124—22no—
681#124—22no—
682#124—22no—
683#124—44no—
684#124—44no—
685#124—44no—
686#124—44no—
687#124—82no—
688#124—82no—
689#124C2×D414yes—
690#123—44no—
691#123—44no—
692C22⋊Q8—22no—
693C22⋊Q8—22no—
694C22⋊Q8—22no—
695C22⋊Q8—22no—
696C22⋊Q8—22no—
697C22⋊Q8—22no—
698C22⋊Q8—44no—
699C22⋊Q8—44no—
700C22⋊Q8—41no—
701C22⋊Q8—41no—
702C22⋊Q8—41no—
703C22⋊Q8—41no—
704C22⋊Q8—41no—
705C22⋊Q8—41no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—44no—
716#121—44no—
717#121—44no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#120—44no—
733#120—44no—
734#120—44no—
735C4×Q8—22no—
736C4×Q8—22no—
737C4×Q8—22no—
738C4×Q8—41no—
739C4×Q8—41no—
740C4×Q8—44no—
741C4×Q8C2×D414yes—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—22no—
746C4×D4—22no—
747C4×D4—22no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—44no—
751C4×D4—41no—
752C4×D4—41no—
753C4×D4—41no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—41no—
757C4×D4—41no—
758C4×D4—41no—
759C4×D4—44no—
760C4×D4—44no—
761#117—22no—
762#117—22no—
763#117—41no—
764#117—41no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—21no—
774C2×C4⋊C4—21no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4C2×D411yescharacteristic
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2×D411yescharacteristic
781C2×C4⋊C4C2×D411yescharacteristic
782C2×C4⋊C4C2×D411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—44no—
837C2×C22⋊C4—44no—
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C22⋊C4C2×D411yescharacteristic
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C42—21no—
851C2×C42—21no—
852C2×C42—21no—
853C2×C42—21no—
854C2×C42—21no—
855C2×C42—21no—
856C2×C42C2×D411yescharacteristic
857C2×C42C2×D411yescharacteristic
858C2×C42C2×D411yescharacteristic
859C2×C42C2×D411yescharacteristic
860C2×C42C2411yescharacteristic
861C2×C42C2411yescharacteristic
862C2×C42C2411yescharacteristic
863#107—22no—
864#107—22no—
865#107—22no—
866#107—41no—
867#106—22no—
868#106—41no—
869#106—41no—
870#106—41no—
871C4⋊C8—22no—
872C4⋊C8—22no—
873C4⋊C8—41no—
874C4⋊C8C2×D414yes—
875#103—22no—
876#103—22no—
877#103—22no—
878#103—22no—
879#103—22no—
880#103—22no—
881#103—22no—
882#103—22no—
883#103—22no—
884#103—41no—
885#103—41no—
886#103—41no—
887#103—41no—
888#103C2×D414yes—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—41no—
896#102—41no—
897#102—41no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102C2×D414yes—
907C22⋊C8—22no—
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8—41no—
917C22⋊C8—41no—
918C22⋊C8—41no—
919#97—22no—
920#97—22no—
921C4×C8—41no—
922C4×C8—41no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24—81no—
957C24C22×D411yescharacteristic
958C24C22×D411yescharacteristic
959C24C22×D411yescharacteristic
960C24C22×D411yescharacteristic
961#41—44no—
962#41—44no—
963#41—44no—
964#41—44no—
965#41—82no—
966#41—82no—
967#41—82no—
968#41—82no—
969#41—82no—
970#41—82no—
971#41—82no—
972#41—82no—
973#41—82no—
974#41—82no—
975#41—82no—
976#41—82no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—21no—
986C2×Q8—21no—
987C2×Q8—21no—
988C2×Q8—21no—
989C2×Q8—21no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—42no—
993C2×Q8—42no—
994C2×Q8—42no—
995C2×Q8—42no—
996C2×Q8—42no—
997C2×Q8—44no—
998C2×Q8—81no—
999C2×Q8—82no—
1000C2×Q8—82no—
1001C2×Q8—82no—
1002C2×Q8C22×D412yes—
1003C2×Q8C22×D412yes—
1004C2×Q8H(5,𝔽2)12yes—
1005C2×D4—22no—
1006C2×D4—22no—
1007C2×D4—22no—
1008C2×D4—22no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—41no—
1032C2×D4—41no—
1033C2×D4—41no—
1034C2×D4—41no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—41no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—41no—
1044C2×D4—41no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—42no—
1052C2×D4—42no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—44no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—42no—
1065C2×D4—42no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—82no—
1070C2×D4—82no—
1071C2×D4—82no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—81no—
1092C2×D4—81no—
1093C2×D4—81no—
1094C2×D4—81no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4C22×D412yes—
1101C2×D4H(5,𝔽2)12yes—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—42no—
1139C22×C4—42no—
1140C22×C4—42no—
1141C22×C4—42no—
1142C22×C4—42no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—81no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4—81no—
1152C22×C4—81no—
1153C22×C4—81no—
1154C22×C4—81no—
1155C22×C4—81no—
1156C22×C4—81no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4C22×D411yescharacteristic
1162C22×C4C22×D411yescharacteristic
1163C22×C4C22×D411yescharacteristic
1164C22×C4C22×D411yescharacteristic
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C2511yescharacteristic
1170Q16—44no—
1171Q16—44no—
1172SD16—28no—
1173SD16—44no—
1174SD16—44no—
1175SD16—82no—
1176SD16—82no—
1177SD16—82no—
1178D8—44no—
1179D8—44no—
1180D8—44no—
1181D8—82no—
1182M16—44no—
1183M16—82no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—44no—
1206C2×C8—82no—
1207C2×C8C22×D412yes—
1208C2×C8C22×D412yes—
1209C2×C8H(5,𝔽2)12yes—
1210C4⋊C4—24no—
1211C4⋊C4—22no—
1212C4⋊C4—22no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—42no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—81no—
1244C4⋊C4—81no—
1245C4⋊C4C22×D412yes—
1246C22⋊C4—24no—
1247C22⋊C4—24no—
1248C22⋊C4—24no—
1249C22⋊C4—24no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—42no—
1271C22⋊C4—42no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—81no—
1286C22⋊C4—81no—
1287C22⋊C4—81no—
1288C22⋊C4—81no—
1289C22⋊C4—81no—
1290C22⋊C4—81no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C42—24no—
1303C42—22no—
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—21no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—42no—
1312C42—42no—
1313C42—42no—
1314C42—42no—
1315C42—42no—
1316C42C22×D412yes—
1317C42H(5,𝔽2)12yes—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—22no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—22no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—84no—
1375C23—84no—
1376C23—84no—
1377C23—162no—
1378C23—162no—
1379C23—162no—
1380C23—162no—
1381C23C23×D411yescharacteristic
1382Q8—22no—
1383Q8—22no—
1384Q8—22no—
1385Q8—22no—
1386Q8—22no—
1387Q8—22no—
1388Q8—41no—
1389Q8—41no—
1390Q8—41no—
1391Q8—41no—
1392Q8—41no—
1393Q8—41no—
1394Q8—84no—
1395Q8—84no—
1396D4—22no—
1397D4—22no—
1398D4—22no—
1399D4—22no—
1400D4—44no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—41no—
1407D4—41no—
1408D4—41no—
1409D4—41no—
1410D4—41no—
1411D4—41no—
1412D4—41no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—84no—
1417D4—82no—
1418D4—82no—
1419D4—84no—
1420D4—84no—
1421D4—84no—
1422D4—84no—
1423D4—84no—
1424D4—84no—
1425D4—84no—
1426D4—162no—
1427D4—162no—
1428D4—162no—
1429D4—162no—
1430D4—162no—
1431D4—162no—
1432D4—162no—
1433D4—162no—
1434D4—162no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—84no—
1515C2×C4—84no—
1516C2×C4—84no—
1517C2×C4—84no—
1518C2×C4—84no—
1519C2×C4—162no—
1520C2×C4—162no—
1521C2×C4D4212yes—
1522C2×C4D4212yes—
1523C2×C4#57512yes—
1524C2×C4C23×D411yescharacteristic
1525C2×C4C2×H(5,𝔽2)11yescharacteristic
1526C2×C4C2×H(5,𝔽2)11yescharacteristic
1527C2×C4C2×H(5,𝔽2)11yescharacteristic
1528C2×C4C2×H(5,𝔽2)11yescharacteristic
1529C2×C4#58511yescharacteristic
1530C8—22no—
1531C8—22no—
1532C8—22no—
1533C8—41no—
1534C8—41no—
1535C8—41no—
1536C8—41no—
1537C8—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—42no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—42no—
1562C22—41no—
1563C22—41no—
1564C22—42no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—42no—
1570C22—41no—
1571C22—41no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—81no—
1582C22—81no—
1583C22—81no—
1584C22—81no—
1585C22—81no—
1586C22—81no—
1587C22—81no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—168no—
1595C22C2×D4211yescharacteristic
1596C22#348411yescharacteristic
1597C22#349611yescharacteristic
1598C22C2×#57511yescharacteristic
1599C22#358411yescharacteristic
1600C22#358411yescharacteristic
1601C22#358511yescharacteristic
1602C4—22no—
1603C4—22no—
1604C4—22no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—41no—
1613C4—41no—
1614C4—42no—
1615C4—41no—
1616C4—81no—
1617C4—81no—
1618C4—81no—
1619C4—81no—
1620C4—81no—
1621C4—81no—
1622C4—81no—
1623C4—81no—
1624C4#348411yescharacteristic
1625C4#348811yescharacteristic
1626C4#354311yescharacteristic
1627C4#355811yescharacteristic
1628C2—81no—
1629C2—81no—
1630C2—81no—
1631C2—81no—
1632C2—82no—
1633C2—82no—
1634C2—161no—
1635C2—161no—
1636C2#4487711yescharacteristic
1637C2#6107011yescharacteristic
1638C2#6109011yescharacteristic
1639C2#6159911yescharacteristic
1640C2#6169011yescharacteristic
1641C2#6225511yescharacteristic
1642C2#6234711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#127 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3313C2semidirect
2. C2×#3268C2semidirect
3. #59818C2semidirect
4. #39747C2semidirect
5. #31061C2semidirect
6. #31059C2semidirect
7. #31021C2semidirect
8. #31020C2semidirect
9. #30578C2semidirect
10. #30560C2semidirect
11. #30413C2semidirect
12. #30405C2semidirect
13. #28621C2semidirect
14. #28371C2semidirect
15. #25898C2semidirect
16. #25768C2semidirect
17. #25396C2semidirect
18. #25352C2semidirect
19. #25138C2semidirect
20. #25109C2semidirect
21. #24455C2semidirect
22. #24428C2semidirect
23. #24277C2semidirect
24. #24266C2semidirect
25. #24254C2semidirect
26. #24131C2semidirect
27. #23863C2semidirect
28. #23854C2semidirect
29. #23687C2semidirect
30. #23174C2semidirect
31. #22150C2semidirect
34. C2×#556C22semidirect
44. C2×#485C22semidirect
46. C2×#477C22semidirect
51. C2×#467C22semidirect
55. C2×#460C22semidirect
60. C2×#452C22semidirect
65. C2×#451C22semidirect
66. C2×#448C22semidirect
67. C2×#448C22semidirect
69. C2×#441C22semidirect
73. C2×#435C22semidirect
74. C2×C8×D4C22semidirect
75. C2×#419C22semidirect
77. #2858C22semidirect
89. #2541C22semidirect
100. #2414C22semidirect
101. #2414C22semidirect
108. #2407C22semidirect
109. #2407C22semidirect
115. #2295C22semidirect
116. #2092C22semidirect
117. #2092C22semidirect
118. #2085C22semidirect
120. #2075C22semidirect
121. #2074C22semidirect
122. #2068C22semidirect
124. #2056C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
134. #2035C22semidirect
135. #2035C22semidirect
136. #2035C22semidirect
140. #2034C22semidirect
141. #2034C22semidirect
142. #2033C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
156. #1993C22semidirect
160. #1969C22semidirect
162. #1968C22semidirect
163. #1968C22semidirect
164. #1961C22semidirect
166. #1955C22semidirect
168. #1954C22semidirect
169. #1949C22semidirect
171. #1933C22semidirect
172. #1895C22semidirect
174. #1893C22semidirect
175. #1892C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
180. #1878C22semidirect
185. #1870C22semidirect
187. #1869C22semidirect
188. #1865C22semidirect
190. #1854C22semidirect
191. #1854C22semidirect
193. #1808C22semidirect
194. #1805C22semidirect
198. #1788C22semidirect
201. #1767C22semidirect
202. C4×C4⋊C8C22semidirect
203. #1763C22semidirect
320. #464D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33132
C2×#32682
#598182
#397472
#310612
#310592
#310212
#310202
#305782
#305602
#304132
#304052
#286212
#283712
#258982
#257682
#253962
#253522
#251382
#251092
#244552
#244282
#242772
#242662
#242542
#241312
#238632
#238542
#236872
#231742
#221502