Finite Group Databasebeta

← #7054047

Subgroups — #7054047

Order 512.

2398 conjugacy classes of subgroups.

The subgroup lattice has 1695 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3310C211yesmaximal, characteristic, complemented
2C2×#3198C211yesmaximal, characteristic, complemented
3#44870C211yesmaximal, characteristic, complemented
4#42643C211yesmaximal, characteristic, complemented
5#31192C211yesmaximal, characteristic, complemented
6#30919C211yesmaximal, characteristic, complemented
7#30848C211yesmaximal, characteristic, complemented
8#30730C211yesmaximal, characteristic, complemented
9#30728C211yesmaximal, characteristic, complemented
10#30547C211yesmaximal, characteristic, complemented
11#30511C211yesmaximal, characteristic, complemented
12#30472C211yesmaximal, characteristic, complemented
13#28916C211yesmaximal, characteristic, complemented
14#28493C211yesmaximal, characteristic, complemented
15#26813C211yesmaximal, characteristic, complemented
16#26643C211yesmaximal, characteristic, complemented
17#25791C211yesmaximal, characteristic, complemented
18#25753C211yesmaximal, characteristic, complemented
19#25555C211yesmaximal, characteristic, complemented
20#25428C211yesmaximal, characteristic, complemented
21#25125C211yesmaximal, characteristic, complemented
22#25120C211yesmaximal, characteristic, complemented
23#25083C211yesmaximal, characteristic, complemented
24#24478C211yesmaximal, characteristic, complemented
25#24440C211yesmaximal, characteristic, complemented
26#24394C211yesmaximal, characteristic, complemented
27#24394C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23393C211yesmaximal, characteristic, complemented
30#22931C211yesmaximal, characteristic, complemented
31#22845C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×#552C2211yescharacteristic, complemented
34C2×D42C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#537C2211yescharacteristic, complemented
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39#3310—28no—
40#3198—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#492C2211yescharacteristic
43C2×#490C2211yescharacteristic
44C2×#481C2211yescharacteristic, complemented
45C2×#485C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic, complemented
47C2×#482C2211yescharacteristic, complemented
48C2×#480C2211yescharacteristic
49C2×#478C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic, complemented
59C2×#465C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic
61C2×#461C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic
65C2×#450C2211yescharacteristic
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×#440C2211yescharacteristic, complemented
72C2×#435C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic
75C2×#416C2211yescharacteristic, complemented
76C22×#102C2211yescharacteristic, complemented
77C2×#408C2211yescharacteristic, complemented
78C2×#408C2211yescharacteristic, complemented
79#2813—21no—
80#2723—21no—
81#2720—21no—
82#2714—21no—
83#2711—21no—
84#2679—21no—
85#2670—21no—
86#2669—21no—
87#2669—21no—
88#2661—21no—
89#2624—21no—
90#2616C2211yescharacteristic, complemented
91#2555—21no—
92#2542C2211yescharacteristic, complemented
93#2541C2211yescharacteristic
94#2540C2211yescharacteristic, complemented
95#2500—21no—
96#2490C2211yescharacteristic, complemented
97#2489C2211yescharacteristic, complemented
98#2433—21no—
99#2433—21no—
100#2433C2211yescharacteristic
101#2433C2211yescharacteristic
102#2432C2211yescharacteristic, complemented
103#2429C2211yescharacteristic, complemented
104#2428C2211yescharacteristic
105#2428C2211yescharacteristic
106#2426C2211yescharacteristic, complemented
107#2415C2211yescharacteristic, complemented
108#2414C2211yescharacteristic
109#2414C2211yescharacteristic
110#2414C2211yescharacteristic, complemented
111#2408C2211yescharacteristic
112#2407C2211yescharacteristic, complemented
113#2403—21no—
114#2388C2211yescharacteristic
115#2363C2211yescharacteristic
116#2363C2211yescharacteristic
117#2345C2211yescharacteristic, complemented
118#2066C2211yescharacteristic, complemented
119#2065C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2059C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2043C2211yescharacteristic, complemented
126#2041C2211yescharacteristic
127#2041C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2025C2211yescharacteristic, complemented
135#2014C2211yescharacteristic
136#2014C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2011C2211yescharacteristic
141#2011C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic
160#1982C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1973C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1954C2211yescharacteristic, complemented
165#1942C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1921C2211yescharacteristic, complemented
175#1918C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1895C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1873C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1870C2211yescharacteristic, complemented
191#1865C2211yescharacteristic, complemented
192#1864C2211yescharacteristic, complemented
193#1854C2211yescharacteristic, complemented
194#1854C2211yescharacteristic, complemented
195#1854C2211yescharacteristic, complemented
196#1850C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1776C2211yescharacteristic, complemented
201C4×#102C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—42no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232#552—24no—
233#552—42no—
234D42—24no—
235D42—42no—
236D42—42no—
237D42—42no—
238#537—24no—
239#537—42no—
240#535—24no—
241#535—42no—
242#535—42no—
243#535—42no—
244C2×C4⋊Q8C2311yescharacteristic
245C2×#127—21no—
246C2×#127—21no—
247C2×#127—21no—
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#126—21no—
252C2×#125—21no—
253C2×#125C2311yescharacteristic
254C2×#124—21no—
255C2×#124—21no—
256C2×#124C2311yescharacteristic
257C2×#123—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
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×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×C4×Q8C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×#117—21no—
306C2×#117C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310#496—42no—
311#492—42no—
312#490—24no—
313#485—24no—
314#482—24no—
315#482—24no—
316#481—24no—
317#480D418yescomplemented
318#478—24no—
319#469—24no—
320#469—42no—
321#468—24no—
322#468—24no—
323#468—42no—
324#468—42no—
325#466—24no—
326#465—24no—
327#465—24no—
328#465—42no—
329#461—42no—
330#460—24no—
331#450—24no—
332#450—24no—
333#450—24no—
334#450—42no—
335#450—42no—
336#449—24no—
337#449—24no—
338#447—24no—
339#447—42no—
340#440—24no—
341#435—24no—
342#435—42no—
343C2×#107C2311yescharacteristic
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354#418—24no—
355#416—42no—
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#102—24no—
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389#408—24no—
390#408—42no—
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×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405#400—21no—
406#399—21no—
407#399—21no—
408#399—21no—
409#398—21no—
410#397—21no—
411#397—21no—
412#397—21no—
413#396—21no—
414#396—21no—
415#395—21no—
416#395D411yescharacteristic
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394D411yescharacteristic
433#394D411yescharacteristic
434#394D411yescharacteristic
435#393D411yescharacteristic
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392D411yescharacteristic
451#392D411yescharacteristic
452#392D411yescharacteristic
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390—21no—
465#390—21no—
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#389—21no—
473#389—21no—
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#388—21no—
486#388—21no—
487#388—21no—
488#387—21no—
489#387—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#384—21no—
499#382—21no—
500#380—21no—
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#379—21no—
506C4×C4⋊C4C2311yescharacteristic
507C4×C4⋊C4C2311yescharacteristic
508C4×C4⋊C4C2311yescharacteristic
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4—21no—
512C4×C22⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514C4×C22⋊C4C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C25—21no—
535C25—21no—
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—
548C22×Q8C2×D411yescharacteristic
549C22×Q8C2411yescharacteristic
550C22×Q8C2411yescharacteristic
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—22no—
570C22×D4—21no—
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—22no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—44no—
593C22×D4—44no—
594C22×D4—82no—
595C22×D4—82no—
596C22×D4—82no—
597C22×D4—82no—
598C22×D4C2×D411yescharacteristic
599C22×D4C2×D411yescharacteristic
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D411yescharacteristic
602C22×D4C2×D411yescharacteristic
603C22×D4C2×D411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617AGL(1,ℤ/8)—416no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—22no—
622C2×SD16—22no—
623C2×SD16—22no—
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—41no—
628C2×SD16—41no—
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×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
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×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×M16—22no—
655C2×M16—22no—
656C2×M16—22no—
657C2×M16—22no—
658C2×M16—41no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16—41no—
662C2×M16—41no—
663C22×C8—22no—
664C22×C8—22no—
665C22×C8—41no—
666C22×C8—41no—
667C22×C8—41no—
668C22×C8—41no—
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C4⋊Q8—41no—
678C4⋊Q8—41no—
679#127—22no—
680#127—22no—
681#127—41no—
682#127—41no—
683#127—41no—
684#127—41no—
685#127—44no—
686#127—44no—
687#127—82no—
688#126—44no—
689#125—22no—
690#125—41no—
691#125—44no—
692#124—41no—
693#124—41no—
694#124—44no—
695#124—44no—
696#123—44no—
697C22⋊Q8—22no—
698C22⋊Q8—22no—
699C22⋊Q8—22no—
700C22⋊Q8—22no—
701C22⋊Q8—22no—
702C22⋊Q8—41no—
703C22⋊Q8—41no—
704C22⋊Q8—41no—
705C22⋊Q8—44no—
706C22⋊Q8—41no—
707C22⋊Q8—41no—
708C22⋊Q8—41no—
709C22⋊Q8—41no—
710C22⋊Q8—41no—
711C22⋊Q8—41no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—44no—
726#121—44no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—41no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—44no—
738#121—44no—
739#121—44no—
740#121—41no—
741#121—41no—
742#121—82no—
743#121—82no—
744#121C2×D414yes—
745#120—44no—
746#120—44no—
747#120—44no—
748#120—44no—
749#120—44no—
750#120—44no—
751#120—44no—
752#120—44no—
753#120—82no—
754#120—82no—
755#120—82no—
756#120—82no—
757#120—82no—
758C4×Q8—22no—
759C4×Q8—41no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—41no—
765C4×D4—41no—
766C4×D4—41no—
767C4×D4—41no—
768C4×D4—41no—
769C4×D4—41no—
770#117—22no—
771#117—22no—
772#117—22no—
773#117—44no—
774#117—41no—
775#117—41no—
776#117—41no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—22no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2×D411yescharacteristic
797C2×C4⋊C4C2×D411yescharacteristic
798C2×C4⋊C4C2×D414yescomplemented
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C4⋊C4C2411yescharacteristic
807C2×C4⋊C4C2411yescharacteristic
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—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C22⋊C4C2×D411yescharacteristic
859C2×C22⋊C4C2×D411yescharacteristic
860C2×C22⋊C4C2×D411yescharacteristic
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C42—21no—
864C2×C42—21no—
865C2×C42—21no—
866C2×C42—21no—
867C2×C42—21no—
868C2×C42—21no—
869C2×C42—21no—
870C2×C42C2411yescharacteristic
871C2×C42C2411yescharacteristic
872C2×C42C2411yescharacteristic
873#107—41no—
874#107—41no—
875#107C2×D414yescomplemented
876#107C2×D414yescomplemented
877#106—22no—
878#106—22no—
879#106—22no—
880#106—22no—
881C4⋊C8—22no—
882C4⋊C8—41no—
883C4⋊C8—41no—
884#103—22no—
885#103—22no—
886#103—22no—
887#103—22no—
888#103—22no—
889#103—41no—
890#103—41no—
891#103—41no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102C2×D414yes—
915#102C2×D414yes—
916C22⋊C8—22no—
917C22⋊C8—22no—
918C22⋊C8—22no—
919C22⋊C8—22no—
920C22⋊C8—22no—
921C22⋊C8—22no—
922C22⋊C8—22no—
923C22⋊C8—41no—
924C22⋊C8—41no—
925C22⋊C8—41no—
926C22⋊C8C2×D414yescomplemented
927#97—22no—
928#97—22no—
929C4×C8—41no—
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#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947#95C2×D411yescharacteristic
948#95C2×D411yescharacteristic
949#95C2×D411yescharacteristic
950#95C2×D411yescharacteristic
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—42no—
957C24—42no—
958C24—42no—
959C24—42no—
960C24—42no—
961C24—42no—
962C24—42no—
963C24—81no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24—81no—
968C24—81no—
969C24—81no—
970C24—81no—
971C24—81no—
972C24—81no—
973C24—81no—
974C24—81no—
975C24—81no—
976C24—81no—
977C24C22×D411yescharacteristic
978C24C22×D411yescharacteristic
979C24C22×D411yescharacteristic
980C24C22×D411yescharacteristic
981#41—44no—
982#41—44no—
983#41—82no—
984#41—82no—
985#41—82no—
986#41—82no—
987#41—82no—
988#41—82no—
989C2×Q8—22no—
990C2×Q8—21no—
991C2×Q8—21no—
992C2×Q8—21no—
993C2×Q8—21no—
994C2×Q8—21no—
995C2×Q8—21no—
996C2×Q8—21no—
997C2×Q8—21no—
998C2×Q8—21no—
999C2×Q8—21no—
1000C2×Q8—21no—
1001C2×Q8—21no—
1002C2×Q8—41no—
1003C2×Q8—41no—
1004C2×D4—22no—
1005C2×D4—24no—
1006C2×D4—24no—
1007C2×D4—22no—
1008C2×D4—22no—
1009C2×D4—22no—
1010C2×D4—22no—
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—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—41no—
1042C2×D4—41no—
1043C2×D4—41no—
1044C2×D4—41no—
1045C2×D4—41no—
1046C2×D4—41no—
1047C2×D4—41no—
1048C2×D4—41no—
1049C2×D4—41no—
1050C2×D4—41no—
1051C2×D4—41no—
1052C2×D4—41no—
1053C2×D4—41no—
1054C2×D4—42no—
1055C2×D4—42no—
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—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—44no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—82no—
1082C2×D4—82no—
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—82no—
1098C2×D4—82no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—82no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
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—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—816no—
1132C2×D4—816no—
1133C2×D4C22×D412yes—
1134C2×D4H(5,𝔽2)12yes—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—24no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
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—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—81no—
1175C22×C4—81no—
1176C22×C4—81no—
1177C22×C4—81no—
1178C22×C4—81no—
1179C22×C4—81no—
1180C22×C4C22×D411yescharacteristic
1181C22×C4C22×D411yescharacteristic
1182C22×C4C22×D411yescharacteristic
1183C22×C4C22×D411yescharacteristic
1184C22×C4C22×D411yescharacteristic
1185C22×C4C22×D411yescharacteristic
1186C22×C4C22×D411yescharacteristic
1187C22×C4C22×D411yescharacteristic
1188C22×C4C22×D411yescharacteristic
1189C22×C4C22×D412yes—
1190C22×C4C22×D411yescharacteristic
1191C22×C4H(5,𝔽2)12yes—
1192C22×C4C2511yescharacteristic
1193SD16—44no—
1194SD16—44no—
1195SD16—44no—
1196SD16—82no—
1197SD16—82no—
1198SD16—82no—
1199SD16—82no—
1200SD16—82no—
1201D8—44no—
1202D8—44no—
1203D8—82no—
1204D8—82no—
1205M16—44no—
1206M16—82no—
1207M16—82no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—82no—
1230C2×C8—82no—
1231C2×C8C22×D412yes—
1232C2×C8C22×D412yes—
1233C2×C8H(5,𝔽2)12yes—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—81no—
1260C4⋊C4—81no—
1261C4⋊C4—81no—
1262C4⋊C4—81no—
1263C4⋊C4—81no—
1264C4⋊C4—81no—
1265C4⋊C4—81no—
1266C4⋊C4—81no—
1267C4⋊C4—81no—
1268C4⋊C4C22×D412yes—
1269C4⋊C4C22×D412yes—
1270C4⋊C4C22×D412yes—
1271C4⋊C4H(5,𝔽2)12yes—
1272C22⋊C4—24no—
1273C22⋊C4—22no—
1274C22⋊C4—24no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C22⋊C4—81no—
1315C22⋊C4—81no—
1316C22⋊C4—81no—
1317C22⋊C4—81no—
1318C22⋊C4—81no—
1319C22⋊C4—81no—
1320C22⋊C4—81no—
1321C22⋊C4—81no—
1322C22⋊C4—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—21no—
1333C42—42no—
1334C42—42no—
1335C42—42no—
1336C42—42no—
1337C42—81no—
1338C42—81no—
1339C42—81no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—22no—
1357C23—21no—
1358C23—21no—
1359C23—22no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—84no—
1403C23—84no—
1404C23—84no—
1405C23—84no—
1406C23—84no—
1407C23—84no—
1408C23—84no—
1409C23—162no—
1410C23—162no—
1411C23—162no—
1412C23—162no—
1413C23—162no—
1414C23—162no—
1415C23—162no—
1416C23—162no—
1417C23—162no—
1418C23—162no—
1419C23—162no—
1420C23—162no—
1421C23—162no—
1422C23—162no—
1423C23D4212yes—
1424C23C23×D411yescharacteristic
1425Q8—41no—
1426Q8—41no—
1427Q8—41no—
1428Q8—41no—
1429Q8—41no—
1430Q8—41no—
1431Q8—41no—
1432Q8—41no—
1433Q8—82no—
1434D4—22no—
1435D4—22no—
1436D4—22no—
1437D4—22no—
1438D4—44no—
1439D4—44no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—41no—
1444D4—41no—
1445D4—41no—
1446D4—41no—
1447D4—41no—
1448D4—41no—
1449D4—41no—
1450D4—41no—
1451D4—41no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—41no—
1456D4—82no—
1457D4—84no—
1458D4—84no—
1459D4—82no—
1460D4—82no—
1461D4—84no—
1462D4—84no—
1463D4—82no—
1464D4—84no—
1465D4—84no—
1466D4—84no—
1467D4—84no—
1468D4—84no—
1469D4—84no—
1470D4—162no—
1471D4—162no—
1472D4—162no—
1473D4—162no—
1474D4—162no—
1475D4—162no—
1476D4—162no—
1477D4—162no—
1478D4—162no—
1479D4—162no—
1480D4—162no—
1481D4—162no—
1482D4—162no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—84no—
1561C2×C4—84no—
1562C2×C4—84no—
1563C2×C4—84no—
1564C2×C4D4212yes—
1565C2×C4#57712yes—
1566C2×C4C23×D411yescharacteristic
1567C2×C4C2×H(5,𝔽2)11yescharacteristic
1568C2×C4C2×H(5,𝔽2)11yescharacteristic
1569C2×C4C2×H(5,𝔽2)11yescharacteristic
1570C2×C4C2×H(5,𝔽2)11yescharacteristic
1571C2×C4#58511yescharacteristic
1572C8—22no—
1573C8—22no—
1574C8—22no—
1575C8—41no—
1576C8—41no—
1577C8—41no—
1578C8—41no—
1579C8—41no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—42no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—42no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—81no—
1628C22—81no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—168no—
1644C22—168no—
1645C22—168no—
1646C22C2×D4211yescharacteristic
1647C22#348411yescharacteristic
1648C22#349611yescharacteristic
1649C22C2×#57711yescharacteristic
1650C22#358511yescharacteristic
1651C22#358511yescharacteristic
1652C22#358511yescharacteristic
1653C4—22no—
1654C4—22no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—41no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—81no—
1668C4—81no—
1669C4—81no—
1670C4—81no—
1671C4—81no—
1672C4—81no—
1673C4—81no—
1674C4#348811yescharacteristic
1675C4#349811yescharacteristic
1676C4#353211yescharacteristic
1677C4#354211yescharacteristic
1678C2—42no—
1679C2—81no—
1680C2—81no—
1681C2—81no—
1682C2—82no—
1683C2—82no—
1684C2—161no—
1685C2—161no—
1686C2—161no—
1687C2#4388611yescharacteristic
1688C2#6105811yescharacteristic
1689C2#6109511yescharacteristic
1690C2#6161011yescharacteristic
1691C2#6167511yescharacteristic
1692C2#6229211yescharacteristic
1693C2#6234611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3310C2semidirect
2. C2×#3198C2semidirect
3. #44870C2semidirect
4. #42643C2semidirect
5. #31192C2semidirect
6. #30919C2semidirect
7. #30848C2semidirect
8. #30730C2semidirect
9. #30728C2semidirect
10. #30547C2semidirect
11. #30511C2semidirect
12. #30472C2semidirect
13. #28916C2semidirect
14. #28493C2semidirect
15. #26813C2semidirect
16. #26643C2semidirect
17. #25791C2semidirect
18. #25753C2semidirect
19. #25555C2semidirect
20. #25428C2semidirect
21. #25125C2semidirect
22. #25120C2semidirect
23. #25083C2semidirect
24. #24478C2semidirect
25. #24440C2semidirect
26. #24394C2semidirect
27. #24394C2semidirect
28. #23860C2semidirect
29. #23393C2semidirect
30. #22931C2semidirect
31. #22845C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C2×#552C22semidirect
36. C2×#537C22semidirect
41. C2×#496C22semidirect
44. C2×#481C22semidirect
45. C2×#485C22semidirect
46. C2×#482C22semidirect
47. C2×#482C22semidirect
49. C2×#478C22semidirect
50. C2×#469C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#468C22semidirect
56. C2×#466C22semidirect
58. C2×#465C22semidirect
59. C2×#465C22semidirect
61. C2×#461C22semidirect
63. C2×#449C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#440C22semidirect
72. C2×#435C22semidirect
73. C2×#435C22semidirect
75. C2×#416C22semidirect
76. C22×#102C22semidirect
77. C2×#408C22semidirect
78. C2×#408C22semidirect
90. #2616C22semidirect
92. #2542C22semidirect
94. #2540C22semidirect
96. #2490C22semidirect
97. #2489C22semidirect
102. #2432C22semidirect
103. #2429C22semidirect
106. #2426C22semidirect
107. #2415C22semidirect
110. #2414C22semidirect
112. #2407C22semidirect
117. #2345C22semidirect
118. #2066C22semidirect
119. #2065C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2059C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2043C22semidirect
127. #2041C22semidirect
128. #2035C22semidirect
130. #2034C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2025C22semidirect
136. #2014C22semidirect
137. #2013C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
160. #1982C22semidirect
161. #1973C22semidirect
162. #1973C22semidirect
163. #1970C22semidirect
164. #1954C22semidirect
165. #1942C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1927C22semidirect
169. #1926C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1921C22semidirect
175. #1918C22semidirect
177. #1895C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1877C22semidirect
185. #1875C22semidirect
186. #1873C22semidirect
187. #1873C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1870C22semidirect
191. #1865C22semidirect
192. #1864C22semidirect
193. #1854C22semidirect
194. #1854C22semidirect
195. #1854C22semidirect
196. #1850C22semidirect
197. #1850C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1776C22semidirect
201. C4×#102C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1736C22semidirect
317. #480D4semidirect
798. C2×C4⋊C4C2×D4semidirect
875. #107C2×D4semidirect
876. #107C2×D4semidirect
926. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33102
C2×#31982
#448702
#426432
#311922
#309192
#308482
#307302
#307282
#305472
#305112
#304722
#289162
#284932
#268132
#266432
#257912
#257532
#255552
#254282
#251252
#251202
#250832
#244782
#244402
#243942
#238602
#233932
#229312
#228452