Finite Group Databasebeta

← #7561901

Subgroups — #7561901

Order 512.

2480 conjugacy classes of subgroups.

The subgroup lattice has 1677 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3324C211yesmaximal, characteristic, complemented
2C2×#3062C211yesmaximal, characteristic, complemented
3#45258C211yesmaximal, characteristic, complemented
4#44870C211yesmaximal, characteristic, complemented
5#30906C211yesmaximal, characteristic, complemented
6#30714C211yesmaximal, characteristic, complemented
7#30596C211yesmaximal, characteristic, complemented
8#30404C211yesmaximal, characteristic, complemented
9#28921C211yesmaximal, characteristic, complemented
10#28567C211yesmaximal, characteristic, complemented
11#28353C211yesmaximal, characteristic, complemented
12#27254C211yesmaximal, characteristic, complemented
13#26971C211yesmaximal, characteristic, complemented
14#26357C211yesmaximal, characteristic, complemented
15#26156C211yesmaximal, characteristic, complemented
16#25540C211yesmaximal, characteristic, complemented
17#25395C211yesmaximal, characteristic, complemented
18#25209C211yesmaximal, characteristic, complemented
19#25132C211yesmaximal, characteristic, complemented
20#25131C211yesmaximal, characteristic, complemented
21#25080C211yesmaximal, characteristic, complemented
22#24424C211yesmaximal, characteristic, complemented
23#24370C211yesmaximal, characteristic, complemented
24#24015C211yesmaximal, characteristic, complemented
25#23924C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23142C211yesmaximal, characteristic, complemented
28#22877C211yesmaximal, characteristic, complemented
29#22423C211yesmaximal, characteristic, complemented
30#21445C211yesmaximal, characteristic, complemented
31#20975C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×#131C2211yescharacteristic, complemented
34C2×#556C2211yescharacteristic, complemented
35C2×D42C2211yescharacteristic
36C2×D42C2211yescharacteristic
37C2×#537C2211yescharacteristic, complemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40#3324—28no—
41C2×#486C2211yescharacteristic
42C2×#482C2211yescharacteristic
43C2×#482C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#474C2211yescharacteristic, complemented
46#3062—28no—
47C2×#469C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic
57C2×#460C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic, complemented
60C2×#450C2211yescharacteristic
61C2×#450C2211yescharacteristic, complemented
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic, complemented
64C2×C4×SD16C2211yescharacteristic, complemented
65C2×#436C2211yescharacteristic, complemented
66C2×#436C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×#428C2211yescharacteristic, complemented
69C2×#418C2211yescharacteristic
70C2×#418C2211yescharacteristic, complemented
71C2×#416C2211yescharacteristic, complemented
72C22×#102C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic, complemented
74#2714—21no—
75#2702—21no—
76#2691—21no—
77#2679—21no—
78#2676—21no—
79#2670—21no—
80#2669—21no—
81#2669—21no—
82#2559—21no—
83#2555—21no—
84#2555—21no—
85#2541C2211yescharacteristic
86#2538C2211yescharacteristic, complemented
87#2500C2211yescharacteristic, complemented
88#2491C2211yescharacteristic, complemented
89#2465—21no—
90#2440C2211yescharacteristic, complemented
91#2433—21no—
92#2433—21no—
93#2433C2211yescharacteristic
94#2433C2211yescharacteristic
95#2428C2211yescharacteristic
96#2428C2211yescharacteristic
97#2426—21no—
98#2421C2211yescharacteristic, complemented
99#2416C2211yescharacteristic, complemented
100#2414C2211yescharacteristic
101#2414C2211yescharacteristic
102#2414C2211yescharacteristic, complemented
103#2408C2211yescharacteristic
104#2407C2211yescharacteristic, complemented
105#2403—21no—
106#2388C2211yescharacteristic
107#2363C2211yescharacteristic
108#2363C2211yescharacteristic
109#2360C2211yescharacteristic, complemented
110#2352C2211yescharacteristic, complemented
111#2341C2211yescharacteristic, complemented
112#2311C2211yescharacteristic, complemented
113#2094C2211yescharacteristic, complemented
114#2092C2211yescharacteristic, complemented
115#2088C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2077C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2067C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2058C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2023C2211yescharacteristic, complemented
134#2014C2211yescharacteristic
135#2011C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1982C2211yescharacteristic
146#1972C2211yescharacteristic, complemented
147#1970C2211yescharacteristic, complemented
148#1961C2211yescharacteristic
149#1957C2211yescharacteristic, complemented
150#1947C2211yescharacteristic, complemented
151#1935C2211yescharacteristic, complemented
152#1934C2211yescharacteristic, complemented
153#1934C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1926C2211yescharacteristic, complemented
157#1921C2211yescharacteristic, complemented
158#1918C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1895C2211yescharacteristic, complemented
164#1895C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic, complemented
167#1893C2211yescharacteristic, complemented
168#1893C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1880C2211yescharacteristic, complemented
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic, complemented
173#1879C2211yescharacteristic, complemented
174#1877C2211yescharacteristic, complemented
175#1875C2211yescharacteristic, complemented
176#1875C2211yescharacteristic, complemented
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic, complemented
180#1874C2211yescharacteristic, complemented
181#1873C2211yescharacteristic, complemented
182#1870C2211yescharacteristic, complemented
183#1869C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1863C2211yescharacteristic, complemented
186#1862C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1854C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1786C2211yescharacteristic
195#1786C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1780C2211yescharacteristic, complemented
198#1762C2211yescharacteristic, complemented
199C4×#103C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1735C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—42no—
214C2×AGL(1,ℤ/8)—42no—
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C2×#131—24no—
224C2×#131—42no—
225C2×#131—42no—
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C23×C8C2311yescharacteristic
231C23×C8C2311yescharacteristic
232C23×C8C2311yescharacteristic
233#556—24no—
234#556—42no—
235D42—24no—
236D42—24no—
237D42—42no—
238D42—42no—
239#537—24no—
240#537—42no—
241#535—24no—
242#535—24no—
243#535—42no—
244#535—42no—
245C2×C4⋊Q8C2311yescharacteristic
246C2×#127—21no—
247C2×#127—21no—
248C2×#127—21no—
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#126—21no—
253C2×#126—21no—
254C2×#124—21no—
255C2×#124—21no—
256C2×#124—21no—
257C2×#124—21no—
258C2×C22⋊Q8—21no—
259C2×C22⋊Q8—21no—
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#120—21no—
285C2×#120—21no—
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×C4×Q8—21no—
298C2×C4×Q8C2311yescharacteristic
299C2×C4×Q8C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×#117C2311yescharacteristic
306C2×#117C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C2×#117C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311#486—24no—
312#482—24no—
313#482—24no—
314#482—42no—
315#474—24no—
316#469—24no—
317#469—24no—
318#468—24no—
319#468—24no—
320#468D418yescomplemented
321#466—24no—
322#466—24no—
323#465—24no—
324#465—24no—
325#460—24no—
326#460—42no—
327#450—24no—
328#450—24no—
329#449—24no—
330#449—42no—
331#447—42no—
332#447—42no—
333C4×SD16—24no—
334#436—24no—
335#436—42no—
336#435—42no—
337#428—24no—
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#107C2311yescharacteristic
341C2×#107C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348C2×C4⋊C8C2311yescharacteristic
349#418—24no—
350#418—24no—
351#416—24no—
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#102—24no—
357C2×#102—42no—
358C2×#102C2311yescharacteristic
359C2×#102C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
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×#97C2311yescharacteristic
396C2×C4×C8C2311yescharacteristic
397C2×C4×C8C2311yescharacteristic
398#400—21no—
399#398—21no—
400#397—21no—
401#396—21no—
402#396—21no—
403#396—21no—
404#395—21no—
405#395D411yescharacteristic
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—21no—
417#394D411yescharacteristic
418#394D411yescharacteristic
419#394D411yescharacteristic
420#393—21no—
421#393D411yescharacteristic
422#392—21no—
423#392—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#392D411yescharacteristic
436#392D411yescharacteristic
437#392D411yescharacteristic
438#391—21no—
439#391C2311yescharacteristic
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#389—21no—
458#389—21no—
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#389C2311yescharacteristic
463#388—21no—
464#388—21no—
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#387—21no—
474#387—21no—
475#387—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#384C2311yescharacteristic
489#382C2311yescharacteristic
490#380—21no—
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#379—21no—
498C4×C4⋊C4C2311yescharacteristic
499C4×C4⋊C4C2311yescharacteristic
500C4×C22⋊C4—21no—
501C4×C22⋊C4—21no—
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4C2311yescharacteristic
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C25—21no—
532C25—21no—
533C2×#41—22no—
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—
545C22×Q8—21no—
546C22×Q8C2×D411yescharacteristic
547C22×Q8C2411yescharacteristic
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
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—22no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—22no—
579C22×D4—41no—
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—44no—
590C22×D4—44no—
591C22×D4—82no—
592C22×D4—82no—
593C22×D4—82no—
594C22×D4—82no—
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2×D411yescharacteristic
599C22×D4C2×D411yescharacteristic
600C22×D4C2×D411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C23×C4—21no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615AGL(1,ℤ/8)—416no—
616C2×SD16—22no—
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16C2×D414yes—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—22no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640#131—416no—
641C2×M16—22no—
642C2×M16—22no—
643C2×M16—22no—
644C2×M16—22no—
645C2×M16—22no—
646C2×M16—22no—
647C2×M16—41no—
648C2×M16—41no—
649C2×M16—41no—
650C2×M16—41no—
651C2×M16—41no—
652C2×M16C2×D414yescomplemented
653C22×C8—22no—
654C22×C8—22no—
655C22×C8—22no—
656C22×C8—22no—
657C22×C8—22no—
658C22×C8—41no—
659C22×C8—41no—
660C22×C8—41no—
661C22×C8—41no—
662C22×C8C2411yescharacteristic
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C4⋊Q8—22no—
671C4⋊Q8—41no—
672#127—22no—
673#127—22no—
674#127—41no—
675#127—41no—
676#127—41no—
677#127—41no—
678#127—44no—
679#127—44no—
680#127—82no—
681#126—44no—
682#126—44no—
683#124—44no—
684#124—44no—
685#124—44no—
686#124—82no—
687C22⋊Q8—22no—
688C22⋊Q8—22no—
689C22⋊Q8—22no—
690C22⋊Q8—41no—
691C22⋊Q8—41no—
692C22⋊Q8—44no—
693C22⋊Q8—82no—
694C22⋊Q8C2×D414yescomplemented
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—22no—
701#121—22no—
702#121—22no—
703#121—22no—
704#121—22no—
705#121—22no—
706#121—22no—
707#121—22no—
708#121—22no—
709#121—22no—
710#121—44no—
711#121—44no—
712#121—44no—
713#121—44no—
714#121—41no—
715#121—41no—
716#121—41no—
717#121—41no—
718#121—41no—
719#121—41no—
720#121—41no—
721#121—44no—
722#121—41no—
723#121—41no—
724#121—82no—
725#121—82no—
726#121—82no—
727#121C2×D414yes—
728#121#4114yes—
729#120—44no—
730#120—44no—
731#120—44no—
732#120—44no—
733#120—44no—
734#120—44no—
735#120—44no—
736#120—44no—
737#120—82no—
738#120—82no—
739#120—82no—
740#120—82no—
741#120—82no—
742C4×Q8—22no—
743C4×Q8—41no—
744C4×Q8—41no—
745C4×Q8—41no—
746C4×Q8—44no—
747C4×D4—22no—
748C4×D4—22no—
749C4×D4—22no—
750C4×D4—22no—
751C4×D4—22no—
752C4×D4—22no—
753C4×D4—41no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—41no—
757#117—22no—
758#117—22no—
759#117—22no—
760#117—22no—
761#117—22no—
762#117—41no—
763#117—41no—
764#117—41no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—22no—
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⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—41no—
781C2×C4⋊C4—41no—
782C2×C4⋊C4—41no—
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2×D411yescharacteristic
785C2×C4⋊C4C2×D411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
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—21no—
837C2×C22⋊C4—21no—
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×C42—21no—
857C2×C42—21no—
858C2×C42C2411yescharacteristic
859C2×C42C2411yescharacteristic
860C2×C42C2411yescharacteristic
861#107—22no—
862#107—22no—
863#107—41no—
864#107C2×D414yescomplemented
865#106—22no—
866#106—22no—
867#106—22no—
868#106—41no—
869C4⋊C8—22no—
870C4⋊C8—22no—
871C4⋊C8—41no—
872#103—22no—
873#103—22no—
874#103—41no—
875#103C2×D414yescomplemented
876#102—22no—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—41no—
893#102—41no—
894#102—41no—
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#102C2×D414yes—
904C22⋊C8—22no—
905C22⋊C8—22no—
906C22⋊C8—22no—
907C22⋊C8—22no—
908C22⋊C8—22no—
909C22⋊C8—22no—
910C22⋊C8—41no—
911C22⋊C8—41no—
912C22⋊C8—41no—
913#97—41no—
914C4×C8—22no—
915C4×C8—41no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
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#95C2×D411yescharacteristic
933#95C2×D411yescharacteristic
934#95C2×D411yescharacteristic
935#95C2×D411yescharacteristic
936#95C2×D411yescharacteristic
937#95C2×D411yescharacteristic
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—42no—
944C24—42no—
945C24—42no—
946C24—42no—
947C24—42no—
948C24—42no—
949C24—42no—
950C24—81no—
951C24—81no—
952C24—81no—
953C24—81no—
954C24—81no—
955C24—81no—
956C24—81no—
957C24—81no—
958C24—81no—
959C24—81no—
960C24—81no—
961C24—81no—
962C24—81no—
963C24—81no—
964C24C22×D411yescharacteristic
965C24C22×D411yescharacteristic
966C24C22×D411yescharacteristic
967C24C22×D411yescharacteristic
968#41—44no—
969#41—44no—
970#41—44no—
971#41—44no—
972#41—44no—
973#41—44no—
974#41—82no—
975#41—82no—
976C2×Q8—22no—
977C2×Q8—22no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—41no—
984C2×Q8—42no—
985C2×Q8—42no—
986C2×Q8—81no—
987C2×Q8C22×D412yes—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—22no—
991C2×D4—22no—
992C2×D4—22no—
993C2×D4—22no—
994C2×D4—24no—
995C2×D4—24no—
996C2×D4—22no—
997C2×D4—22no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
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—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
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—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
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—42no—
1067C2×D4—42no—
1068C2×D4—82no—
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—82no—
1087C2×D4—82no—
1088C2×D4—82no—
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×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
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—816no—
1116C2×D4—816no—
1117C2×D4C22×D412yes—
1118C2×D4C2×#4112yes—
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—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—81no—
1158C22×C4—81no—
1159C22×C4—81no—
1160C22×C4—81no—
1161C22×C4—81no—
1162C22×C4—81no—
1163C22×C4—81no—
1164C22×C4—81no—
1165C22×C4C22×D411yescharacteristic
1166C22×C4C22×D411yescharacteristic
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D412yes—
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D411yescharacteristic
1176C22×C4C2×#4112yes—
1177C22×C4H(5,𝔽2)12yes—
1178C22×C4H(5,𝔽2)12yes—
1179C22×C4C2511yescharacteristic
1180SD16—44no—
1181SD16—44no—
1182SD16—44no—
1183SD16—82no—
1184D8—44no—
1185D8—44no—
1186D8—82no—
1187D8—82no—
1188M16—28no—
1189M16—44no—
1190M16—44no—
1191M16—82no—
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—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—44no—
1214C2×C8—44no—
1215C2×C8—44no—
1216C2×C8C22×D412yes—
1217C2×C8C22×D412yes—
1218C2×C8H(5,𝔽2)12yes—
1219C4⋊C4—24no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
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—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—41no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—81no—
1247C4⋊C4—81no—
1248C4⋊C4—81no—
1249C4⋊C4—81no—
1250C4⋊C4—81no—
1251C4⋊C4—81no—
1252C4⋊C4—81no—
1253C4⋊C4C22×D412yes—
1254C4⋊C4C22×D412yes—
1255C4⋊C4C2×#4112yes—
1256C22⋊C4—24no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—24no—
1260C22⋊C4—22no—
1261C22⋊C4—24no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
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—42no—
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—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4—81no—
1304C22⋊C4—81no—
1305C22⋊C4—81no—
1306C22⋊C4—81no—
1307C22⋊C4—81no—
1308C22⋊C4—81no—
1309C22⋊C4—81no—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—42no—
1317C42—42no—
1318C42—42no—
1319C42—42no—
1320C42—42no—
1321C42—81no—
1322C42—81no—
1323C42—81no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—22no—
1342C23—21no—
1343C23—22no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
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—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—84no—
1386C23—84no—
1387C23—84no—
1388C23—84no—
1389C23—84no—
1390C23—84no—
1391C23—84no—
1392C23—162no—
1393C23—162no—
1394C23—162no—
1395C23—162no—
1396C23—162no—
1397C23—162no—
1398C23—162no—
1399C23—162no—
1400C23—162no—
1401C23—162no—
1402C23—162no—
1403C23—162no—
1404C23—162no—
1405C23—162no—
1406C23D4212yes—
1407C23#54612yes—
1408C23C23×D411yescharacteristic
1409Q8—22no—
1410Q8—22no—
1411Q8—44no—
1412Q8—41no—
1413Q8—41no—
1414Q8—84no—
1415D4—22no—
1416D4—22no—
1417D4—22no—
1418D4—22no—
1419D4—44no—
1420D4—44no—
1421D4—44no—
1422D4—44no—
1423D4—44no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—82no—
1441D4—84no—
1442D4—84no—
1443D4—84no—
1444D4—84no—
1445D4—84no—
1446D4—84no—
1447D4—84no—
1448D4—84no—
1449D4—84no—
1450D4—84no—
1451D4—162no—
1452D4—162no—
1453D4—162no—
1454D4—162no—
1455D4—162no—
1456D4—162no—
1457D4—162no—
1458D4—162no—
1459D4—162no—
1460D4—162no—
1461D4—162no—
1462D4—162no—
1463D4—162no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
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—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—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
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—84no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—162no—
1543C2×C4—162no—
1544C2×C4D4212yes—
1545C2×C4#54612yes—
1546C2×C4#57612yes—
1547C2×C4#57712yes—
1548C2×C4C23×D411yescharacteristic
1549C2×C4C22×#4111yescharacteristic
1550C2×C4C2×H(5,𝔽2)11yescharacteristic
1551C2×C4C2×H(5,𝔽2)11yescharacteristic
1552C2×C4C2×H(5,𝔽2)11yescharacteristic
1553C2×C4#58511yescharacteristic
1554C8—22no—
1555C8—22no—
1556C8—22no—
1557C8—41no—
1558C8—41no—
1559C8—41no—
1560C8—41no—
1561C8—41no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—42no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—42no—
1585C22—41no—
1586C22—41no—
1587C22—42no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—42no—
1592C22—42no—
1593C22—41no—
1594C22—42no—
1595C22—41no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—168no—
1626C22—168no—
1627C22—168no—
1628C22C2×D4211yescharacteristic
1629C22C2×#54611yescharacteristic
1630C22#349611yescharacteristic
1631C22C2×#57611yescharacteristic
1632C22C2×#57711yescharacteristic
1633C22#358511yescharacteristic
1634C22#358511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—42no—
1642C4—42no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—42no—
1649C4—81no—
1650C4—81no—
1651C4—81no—
1652C4—81no—
1653C4—81no—
1654C4—81no—
1655C4—81no—
1656C4D4×#4111yescharacteristic
1657C4#348411yescharacteristic
1658C4#351911yescharacteristic
1659C4#353411yescharacteristic
1660C2—42no—
1661C2—42no—
1662C2—81no—
1663C2—81no—
1664C2—82no—
1665C2—82no—
1666C2—161no—
1667C2—161no—
1668C2—161no—
1669C2#5912311yescharacteristic
1670C2#6107211yescharacteristic
1671C2#6109511yescharacteristic
1672C2#6117511yescharacteristic
1673C2#6121511yescharacteristic
1674C2#6230811yescharacteristic
1675C2#6234911yescharacteristic
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×#3324C2semidirect
2. C2×#3062C2semidirect
3. #45258C2semidirect
4. #44870C2semidirect
5. #30906C2semidirect
6. #30714C2semidirect
7. #30596C2semidirect
8. #30404C2semidirect
9. #28921C2semidirect
10. #28567C2semidirect
11. #28353C2semidirect
12. #27254C2semidirect
13. #26971C2semidirect
14. #26357C2semidirect
15. #26156C2semidirect
16. #25540C2semidirect
17. #25395C2semidirect
18. #25209C2semidirect
19. #25132C2semidirect
20. #25131C2semidirect
21. #25080C2semidirect
22. #24424C2semidirect
23. #24370C2semidirect
24. #24015C2semidirect
25. #23924C2semidirect
26. #23860C2semidirect
27. #23142C2semidirect
28. #22877C2semidirect
29. #22423C2semidirect
30. #21445C2semidirect
31. #20975C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×#131C22semidirect
34. C2×#556C22semidirect
37. C2×#537C22semidirect
43. C2×#482C22semidirect
44. C2×#482C22semidirect
45. C2×#474C22semidirect
47. C2×#469C22semidirect
48. C2×#469C22semidirect
50. C2×#468C22semidirect
51. C2×#468C22semidirect
53. C2×#466C22semidirect
54. C2×#465C22semidirect
55. C2×#465C22semidirect
57. C2×#460C22semidirect
59. C2×#449C22semidirect
61. C2×#450C22semidirect
63. C2×#447C22semidirect
64. C2×C4×SD16C22semidirect
65. C2×#436C22semidirect
66. C2×#436C22semidirect
67. C2×#435C22semidirect
68. C2×#428C22semidirect
70. C2×#418C22semidirect
71. C2×#416C22semidirect
72. C22×#102C22semidirect
73. C22×#102C22semidirect
86. #2538C22semidirect
87. #2500C22semidirect
88. #2491C22semidirect
90. #2440C22semidirect
98. #2421C22semidirect
99. #2416C22semidirect
102. #2414C22semidirect
104. #2407C22semidirect
109. #2360C22semidirect
110. #2352C22semidirect
111. #2341C22semidirect
112. #2311C22semidirect
113. #2094C22semidirect
114. #2092C22semidirect
115. #2088C22semidirect
116. #2085C22semidirect
117. #2077C22semidirect
118. #2071C22semidirect
119. #2067C22semidirect
120. #2065C22semidirect
121. #2058C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
126. #2041C22semidirect
127. #2035C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2023C22semidirect
137. #2011C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
146. #1972C22semidirect
147. #1970C22semidirect
149. #1957C22semidirect
150. #1947C22semidirect
151. #1935C22semidirect
152. #1934C22semidirect
153. #1934C22semidirect
154. #1934C22semidirect
155. #1926C22semidirect
156. #1926C22semidirect
157. #1921C22semidirect
158. #1918C22semidirect
160. #1895C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
163. #1895C22semidirect
164. #1895C22semidirect
166. #1893C22semidirect
167. #1893C22semidirect
168. #1893C22semidirect
169. #1880C22semidirect
170. #1880C22semidirect
171. #1880C22semidirect
172. #1879C22semidirect
173. #1879C22semidirect
174. #1877C22semidirect
175. #1875C22semidirect
176. #1875C22semidirect
179. #1874C22semidirect
180. #1874C22semidirect
181. #1873C22semidirect
182. #1870C22semidirect
183. #1869C22semidirect
184. #1869C22semidirect
185. #1863C22semidirect
186. #1862C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1854C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1850C22semidirect
193. #1804C22semidirect
195. #1786C22semidirect
196. #1786C22semidirect
197. #1780C22semidirect
198. #1762C22semidirect
199. C4×#103C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
202. C8×C22⋊C4C22semidirect
203. #1736C22semidirect
204. #1735C22semidirect
320. #468D4semidirect
652. C2×M16C2×D4semidirect
694. C22⋊Q8C2×D4semidirect
864. #107C2×D4semidirect
875. #103C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33242
C2×#30622
#452582
#448702
#309062
#307142
#305962
#304042
#289212
#285672
#283532
#272542
#269712
#263572
#261562
#255402
#253952
#252092
#251322
#251312
#250802
#244242
#243702
#240152
#239242
#238602
#231422
#228772
#224232
#214452
#209752