Finite Group Databasebeta

← #7561433

Subgroups — #7561433

Order 512.

2491 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×#3309C211yesmaximal, characteristic, complemented
2C2×#3274C211yesmaximal, characteristic, complemented
3#59408C211yesmaximal, characteristic, complemented
4#36455C211yesmaximal, characteristic, complemented
5#30890C211yesmaximal, characteristic, complemented
6#30733C211yesmaximal, characteristic, complemented
7#30584C211yesmaximal, characteristic, complemented
8#30396C211yesmaximal, characteristic, complemented
9#28916C211yesmaximal, characteristic, complemented
10#28578C211yesmaximal, characteristic, complemented
11#28301C211yesmaximal, characteristic, complemented
12#27236C211yesmaximal, characteristic, complemented
13#26939C211yesmaximal, characteristic, complemented
14#26379C211yesmaximal, characteristic, complemented
15#26179C211yesmaximal, characteristic, complemented
16#25553C211yesmaximal, characteristic, complemented
17#25414C211yesmaximal, characteristic, complemented
18#25258C211yesmaximal, characteristic, complemented
19#25159C211yesmaximal, characteristic, complemented
20#25148C211yesmaximal, characteristic, complemented
21#25116C211yesmaximal, characteristic, complemented
22#24440C211yesmaximal, characteristic, complemented
23#24435C211yesmaximal, characteristic, complemented
24#24046C211yesmaximal, characteristic, complemented
25#23869C211yesmaximal, characteristic, complemented
26#23869C211yesmaximal, characteristic, complemented
27#23118C211yesmaximal, characteristic, complemented
28#22877C211yesmaximal, characteristic, complemented
29#22443C211yesmaximal, characteristic, complemented
30C4×#449C211yesmaximal, characteristic, complemented
31#20928C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C2×#553C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#550C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic, complemented
38C2×D42C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic, complemented
40#3309—28no—
41#3274—28no—
42C2×#493C2211yescharacteristic
43C2×#490C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#480C2211yescharacteristic, complemented
47C2×#479C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic
50C2×#469C2211yescharacteristic
51C2×#466C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic
54C2×#459C2211yescharacteristic
55C2×#459C2211yescharacteristic, complemented
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#447C2211yescharacteristic
62C2×#447C2211yescharacteristic
63C2×#447C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#440C2211yescharacteristic, complemented
66C2×C4×SD16C2211yescharacteristic
67C2×C4×SD16C2211yescharacteristic, complemented
68C2×C4×D8C2211yescharacteristic, complemented
69C2×#436C2211yescharacteristic
70C2×#435C2211yescharacteristic, complemented
71C2×#417C2211yescharacteristic, complemented
72C2×#418C2211yescharacteristic
73C2×#416C2211yescharacteristic, complemented
74#2856—21no—
75#2856C2211yescharacteristic, complemented
76#2703—21no—
77#2685—21no—
78#2559—21no—
79#2541—21no—
80#2541C2211yescharacteristic, complemented
81#2539—21no—
82#2537—21no—
83#2537C2211yescharacteristic, complemented
84#2490C2211yescharacteristic
85#2487C2211yescharacteristic
86#2454C2211yescharacteristic
87#2445C2211yescharacteristic
88#2428—21no—
89#2428—21no—
90#2428C2211yescharacteristic
91#2428C2211yescharacteristic, complemented
92#2428C2211yescharacteristic, complemented
93#2424—21no—
94#2418—21no—
95#2414—21no—
96#2414—21no—
97#2414C2211yescharacteristic
98#2414C2211yescharacteristic
99#2414C2211yescharacteristic, complemented
100#2410—21no—
101#2408C2211yescharacteristic
102#2408C2211yescharacteristic
103#2363C2211yescharacteristic
104Q8×C4⋊C4C2211yescharacteristic, complemented
105#2341C2211yescharacteristic, complemented
106#2341C2211yescharacteristic, complemented
107D4×C22⋊C4—21no—
108D4×C22⋊C4C2211yescharacteristic
109C4×#121—21no—
110C4×#121C2211yescharacteristic
111C4×#121C2211yescharacteristic
112C2×#390C2211yescharacteristic
113#2093C2211yescharacteristic
114#2093C2211yescharacteristic, complemented
115#2087C2211yescharacteristic, complemented
116#2084C2211yescharacteristic, complemented
117#2075C2211yescharacteristic, complemented
118#2071C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2065C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2054C2211yescharacteristic, complemented
123#2041C2211yescharacteristic
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2034C2211yescharacteristic
128#2034C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2033C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2011C2211yescharacteristic
135#2011C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1972C2211yescharacteristic
146#1970C2211yescharacteristic
147#1970C2211yescharacteristic
148#1970C2211yescharacteristic, complemented
149#1970C2211yescharacteristic, complemented
150#1942C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1934C2211yescharacteristic, complemented
153#1926C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1923C2211yescharacteristic, complemented
156#1923C2211yescharacteristic, complemented
157#1917C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic, complemented
160#1895C2211yescharacteristic, complemented
161#1895C2211yescharacteristic, complemented
162#1893C2211yescharacteristic
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic, complemented
167#1880C2211yescharacteristic, complemented
168#1880C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic, complemented
174#1879C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic, complemented
183#1870C2211yescharacteristic, complemented
184#1869C2211yescharacteristic, complemented
185#1864C2211yescharacteristic
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1854C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1786C2211yescharacteristic
198C4×#103C2211yescharacteristic, complemented
199C4×#102C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201C8×C22⋊C4C2211yescharacteristic, complemented
202C4×C22⋊C8C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C2×AGL(1,ℤ/8)—24no—
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C23×C8C2311yescharacteristic
233#553—24no—
234#553—42no—
235#550—24no—
236#550—24no—
237#550—42no—
238#550—42no—
239#550—42no—
240#550—42no—
241D42—24no—
242D42—42no—
243C2×#127—21no—
244C2×#127—21no—
245C2×#127—21no—
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#126—21no—
251C2×#125C2311yescharacteristic
252C2×#123—21no—
253C2×#123—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121—21no—
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121D411yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C4×#41—42no—
287C4×#41—42no—
288C2×C4×Q8C2311yescharacteristic
289C2×C4×Q8C2311yescharacteristic
290C2×C4×Q8C2311yescharacteristic
291C2×C4×Q8C2311yescharacteristic
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×#117—21no—
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C42—21no—
315C22×C42C2311yescharacteristic
316#493—24no—
317#490—24no—
318#482—24no—
319#480—24no—
320#480—42no—
321#479—24no—
322#469—24no—
323#469—24no—
324#469—24no—
325#466—24no—
326#466—42no—
327#460—24no—
328#459—24no—
329#459—24no—
330#449—24no—
331#449—24no—
332#449—24no—
333#449—42no—
334#449D418yescomplemented
335#447—24no—
336#447—24no—
337#447—42no—
338#447—42no—
339#440—24no—
340C4×SD16—24no—
341C4×SD16—42no—
342C4×D8—42no—
343#436—24no—
344#435—24no—
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#107C2311yescharacteristic
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355#418—42no—
356#417—24no—
357#416—24no—
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
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×#97C2311yescharacteristic
399C2×C4×C8C2311yescharacteristic
400C2×C4×C8C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402#400—21no—
403#399—21no—
404#399—21no—
405#397—21no—
406#396—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#394—21no—
418#394—21no—
419#394—21no—
420#392—21no—
421#392—21no—
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#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390—21no—
437#390—21no—
438#390—21no—
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390D411yescharacteristic
444#390C2311yescharacteristic
445#390C2311yescharacteristic
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#389—21no—
456#389—21no—
457#389D411yescharacteristic
458#389C2311yescharacteristic
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#388D411yescharacteristic
470#388D411yescharacteristic
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386D411yescharacteristic
481#386D411yescharacteristic
482#385—21no—
483#385—21no—
484#384—21no—
485#384C2311yescharacteristic
486#380—21no—
487#380—21no—
488#380—21no—
489#380—21no—
490#380D411yescharacteristic
491#380C2311yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#379—21no—
497#379—21no—
498#379—21no—
499C4×C4⋊C4—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4—21no—
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#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C25—21no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
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×#41C2×D414yes—
550C22×Q8C2411yescharacteristic
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
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—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—21no—
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—44no—
588C22×D4—44no—
589C22×D4—82no—
590C22×D4C2×D411yescharacteristic
591C22×D4C2×D411yescharacteristic
592C22×D4C2×D411yescharacteristic
593C22×D4C2411yescharacteristic
594C22×D4C2411yescharacteristic
595C22×D4C2411yescharacteristic
596C22×D4C2411yescharacteristic
597C22×D4C2411yescharacteristic
598C22×D4C2411yescharacteristic
599C23×C4—21no—
600C23×C4—21no—
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4—21no—
607C23×C4—21no—
608C23×C4C2×D411yescharacteristic
609C23×C4C2×D411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613AGL(1,ℤ/8)—416no—
614AGL(1,ℤ/8)—416no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—22no—
622C2×SD16C2×D414yes—
623C2×SD16#4114yes—
624C2×D8—22no—
625C2×D8—22no—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—22no—
632C2×D8—22no—
633C2×D8—22no—
634C2×D8—22no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×D8—41no—
639C2×D8—41no—
640C2×D8—41no—
641C2×D8—41no—
642C2×D8—41no—
643C2×D8—41no—
644C2×D8—41no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×D8C2×D414yes—
651C2×M16—22no—
652C2×M16—22no—
653C2×M16—22no—
654C2×M16—22no—
655C2×M16—22no—
656C2×M16—41no—
657C2×M16—41no—
658C2×M16—41no—
659C2×M16—41no—
660C22×C8—22no—
661C22×C8—41no—
662C22×C8—41no—
663C22×C8C2411yescharacteristic
664C22×C8C2411yescharacteristic
665C22×C8C2411yescharacteristic
666C22×C8C2411yescharacteristic
667C22×C8C2411yescharacteristic
668C22×C8C2411yescharacteristic
669C22×C8C2411yescharacteristic
670C22×C8C2411yescharacteristic
671#127—22no—
672#127—22no—
673#127—22no—
674#127—41no—
675#127—41no—
676#127—41no—
677#127—41no—
678#127—41no—
679#127—44no—
680#127—44no—
681#127—44no—
682#126—44no—
683#125—22no—
684#125—41no—
685#123—44no—
686#123—82no—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—42no—
700#121—44no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—44no—
705#121—41no—
706#121—41no—
707#121—41no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—44no—
713#121—44no—
714#121—44no—
715#121—44no—
716#121—41no—
717#121—41no—
718#121—82no—
719#121—82no—
720#121—82no—
721#121—82no—
722#121—82no—
723#121—82no—
724#121—82no—
725#121C2×D414yes—
726#120—44no—
727#120—44no—
728#120—82no—
729#120—82no—
730C4×Q8—22no—
731C4×Q8—22no—
732C4×Q8—22no—
733C4×Q8—22no—
734C4×Q8—22no—
735C4×Q8—41no—
736C4×Q8—41no—
737C4×Q8—41no—
738C4×D4—22no—
739C4×D4—22no—
740C4×D4—22no—
741C4×D4—22no—
742C4×D4—22no—
743C4×D4—22no—
744C4×D4—22no—
745C4×D4—41no—
746C4×D4—41no—
747C4×D4—41no—
748C4×D4—41no—
749C4×D4—41no—
750C4×D4—41no—
751C4×D4—41no—
752C4×D4—44no—
753C4×D4—44no—
754C4×D4—41no—
755C4×D4—41no—
756C4×D4—44no—
757C4×D4—44no—
758C4×D4—44no—
759C4×D4—44no—
760C4×D4—82no—
761#117—22no—
762#117—22no—
763#117—41no—
764#117—41no—
765#117—44no—
766C2×C4⋊C4—21no—
767C2×C4⋊C4—22no—
768C2×C4⋊C4—22no—
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—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4C2×D411yescharacteristic
783C2×C4⋊C4C2×D411yescharacteristic
784C2×C4⋊C4C2×D411yescharacteristic
785C2×C4⋊C4C2×D411yescharacteristic
786C2×C4⋊C4C2×D411yescharacteristic
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⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—82no—
842C2×C22⋊C4—82no—
843C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C42—21no—
855C2×C42—21no—
856C2×C42—21no—
857C2×C42—21no—
858C2×C42—21no—
859C2×C42—21no—
860C2×C42—21no—
861C2×C42—41no—
862C2×C42—41no—
863C2×C42—44no—
864C2×C42C2×D411yescharacteristic
865C2×C42C2×D411yescharacteristic
866C2×C42C2411yescharacteristic
867C2×C42C2411yescharacteristic
868C2×C42C2411yescharacteristic
869C2×C42C2411yescharacteristic
870#107—22no—
871#107—22no—
872#107—22no—
873#107—41no—
874#107—41no—
875#106—22no—
876#106—22no—
877#106—41no—
878C4⋊C8—22no—
879C4⋊C8—22no—
880#103—22no—
881#103—22no—
882#103—22no—
883#103—22no—
884#103C2×D414yes—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102C2×D414yes—
912C22⋊C8—22no—
913C22⋊C8—22no—
914C22⋊C8—22no—
915C22⋊C8—22no—
916C22⋊C8—41no—
917C22⋊C8—41no—
918C22⋊C8—41no—
919C22⋊C8C2×D414yes—
920#97—22no—
921C4×C8—22no—
922C4×C8—41no—
923C4×C8—41no—
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#95C2×D411yescharacteristic
936#95C2×D411yescharacteristic
937#95C2×D411yescharacteristic
938#95C2×D411yescharacteristic
939#95C2×D411yescharacteristic
940#95C2×D411yescharacteristic
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—42no—
948C24—42no—
949C24—42no—
950C24—42no—
951C24—42no—
952C24—42no—
953C24—42no—
954C24—81no—
955C24—81no—
956C24—81no—
957C24—81no—
958C24—81no—
959C24—81no—
960C24—81no—
961C24C22×D411yescharacteristic
962C24C22×D411yescharacteristic
963C24C22×D411yescharacteristic
964#41—28no—
965#41—44no—
966#41—44no—
967#41—44no—
968#41—44no—
969#41—44no—
970#41—82no—
971#41—82no—
972#41—82no—
973#41—82no—
974#41—82no—
975#41—82no—
976C2×Q8—21no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8C22×D412yes—
980C2×Q8C2×#4112yes—
981C2×Q8H(5,𝔽2)12yes—
982C2×D4—22no—
983C2×D4—24no—
984C2×D4—24no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—22no—
988C2×D4—21no—
989C2×D4—21no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
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—44no—
1022C2×D4—44no—
1023C2×D4—41no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—41no—
1027C2×D4—41no—
1028C2×D4—41no—
1029C2×D4—41no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
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—44no—
1053C2×D4—42no—
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—82no—
1067C2×D4—82no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
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—82no—
1082C2×D4—82no—
1083C2×D4—82no—
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×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—816no—
1105C2×D4C22×D412yes—
1106C2×D4C22×D412yes—
1107C2×D4C2×#4112yes—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—24no—
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—22no—
1129C22×C4—22no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—42no—
1138C22×C4—42no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—42no—
1144C22×C4—42no—
1145C22×C4—42no—
1146C22×C4—42no—
1147C22×C4—42no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—42no—
1151C22×C4—42no—
1152C22×C4—42no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—81no—
1160C22×C4—81no—
1161C22×C4—81no—
1162C22×C4—81no—
1163C22×C4—81no—
1164C22×C4—81no—
1165C22×C4—81no—
1166C22×C4—81no—
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4C22×D411yescharacteristic
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D411yescharacteristic
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D412yes—
1176C22×C4C22×D411yescharacteristic
1177C22×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4H(5,𝔽2)12yes—
1180C22×C4C2511yescharacteristic
1181SD16—28no—
1182SD16—28no—
1183SD16—44no—
1184D8—44no—
1185D8—44no—
1186D8—44no—
1187D8—44no—
1188D8—44no—
1189D8—82no—
1190D8—82no—
1191D8—82no—
1192D8—82no—
1193M16—44no—
1194M16—44no—
1195M16—82no—
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—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—82no—
1218C2×C8C22×D412yes—
1219C2×C8C22×D412yes—
1220C2×C8C2×#4112yes—
1221C4⋊C4—24no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
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—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—41no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—42no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—81no—
1251C4⋊C4—81no—
1252C4⋊C4—81no—
1253C4⋊C4—81no—
1254C4⋊C4—81no—
1255C4⋊C4—81no—
1256C4⋊C4C22×D412yes—
1257C4⋊C4H(5,𝔽2)12yes—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—24no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
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—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—81no—
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—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C42—24no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—41no—
1323C42—41no—
1324C42—42no—
1325C42—42no—
1326C42—42no—
1327C42—42no—
1328C42—42no—
1329C42—81no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—22no—
1340C23—21no—
1341C23—22no—
1342C23—22no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
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—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—84no—
1393C23—84no—
1394C23—84no—
1395C23—84no—
1396C23—84no—
1397C23—84no—
1398C23—84no—
1399C23—162no—
1400C23—162no—
1401C23—162no—
1402C23—162no—
1403C23—162no—
1404C23—162no—
1405C23—162no—
1406C23D4212yes—
1407C23C23×D411yescharacteristic
1408Q8—22no—
1409Q8—22no—
1410Q8—22no—
1411Q8#54614yes—
1412D4—22no—
1413D4—22no—
1414D4—22no—
1415D4—22no—
1416D4—22no—
1417D4—22no—
1418D4—44no—
1419D4—48no—
1420D4—48no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
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—82no—
1440D4—84no—
1441D4—84no—
1442D4—84no—
1443D4—84no—
1444D4—84no—
1445D4—84no—
1446D4—82no—
1447D4—84no—
1448D4—84no—
1449D4—84no—
1450D4—162no—
1451D4—162no—
1452D4—162no—
1453D4—162no—
1454D4—162no—
1455D4—162no—
1456D4—162no—
1457D4—162no—
1458D4—162no—
1459D4—162no—
1460D4—162no—
1461D4—162no—
1462D4—162no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
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—48no—
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—82no—
1536C2×C4—82no—
1537C2×C4—84no—
1538C2×C4—84no—
1539C2×C4—84no—
1540C2×C4—84no—
1541C2×C4—84no—
1542C2×C4—162no—
1543C2×C4—162no—
1544C2×C4—162no—
1545C2×C4D4212yes—
1546C2×C4#57512yes—
1547C2×C4#57612yes—
1548C2×C4#57612yes—
1549C2×C4C23×D411yescharacteristic
1550C2×C4C22×#4111yescharacteristic
1551C2×C4C2×H(5,𝔽2)11yescharacteristic
1552C2×C4C2×H(5,𝔽2)11yescharacteristic
1553C2×C4C2×H(5,𝔽2)11yescharacteristic
1554C2×C4#58511yescharacteristic
1555C8—22no—
1556C8—22no—
1557C8—22no—
1558C8—41no—
1559C8—41no—
1560C8—41no—
1561C8—41no—
1562C8—41no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—42no—
1573C22—41no—
1574C22—42no—
1575C22—41no—
1576C22—41no—
1577C22—42no—
1578C22—42no—
1579C22—41no—
1580C22—42no—
1581C22—41no—
1582C22—42no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—42no—
1589C22—41no—
1590C22—41no—
1591C22—42no—
1592C22—42no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
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—81no—
1626C22—168no—
1627C22—168no—
1628C22C2×D4211yescharacteristic
1629C22D4×#4111yescharacteristic
1630C22#348411yescharacteristic
1631C22C2×#57511yescharacteristic
1632C22C2×#57611yescharacteristic
1633C22C2×#57611yescharacteristic
1634C22#358511yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—24no—
1640C4—41no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—42no—
1647C4—41no—
1648C4—41no—
1649C4—81no—
1650C4—81no—
1651C4—81no—
1652C4—81no—
1653C4—81no—
1654C4—81no—
1655C4—81no—
1656C4C2×#54611yescharacteristic
1657C4#349611yescharacteristic
1658C4#351911yescharacteristic
1659C4#353411yescharacteristic
1660C2—42no—
1661C2—81no—
1662C2—81no—
1663C2—82no—
1664C2—82no—
1665C2—82no—
1666C2—161no—
1667C2—161no—
1668C2—161no—
1669C2#5912311yescharacteristic
1670C2#6106611yescharacteristic
1671C2#6108911yescharacteristic
1672C2#6144911yescharacteristic
1673C2#6155511yescharacteristic
1674C2#6160511yescharacteristic
1675C2#6161711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3309C2semidirect
2. C2×#3274C2semidirect
3. #59408C2semidirect
4. #36455C2semidirect
5. #30890C2semidirect
6. #30733C2semidirect
7. #30584C2semidirect
8. #30396C2semidirect
9. #28916C2semidirect
10. #28578C2semidirect
11. #28301C2semidirect
12. #27236C2semidirect
13. #26939C2semidirect
14. #26379C2semidirect
15. #26179C2semidirect
16. #25553C2semidirect
17. #25414C2semidirect
18. #25258C2semidirect
19. #25159C2semidirect
20. #25148C2semidirect
21. #25116C2semidirect
22. #24440C2semidirect
23. #24435C2semidirect
24. #24046C2semidirect
25. #23869C2semidirect
26. #23869C2semidirect
27. #23118C2semidirect
28. #22877C2semidirect
29. #22443C2semidirect
30. C4×#449C2semidirect
31. #20928C2semidirect
36. C2×#550C22semidirect
37. C2×#550C22semidirect
39. C2×C4×#41C22semidirect
43. C2×#490C22semidirect
44. C2×#482C22semidirect
45. C2×#480C22semidirect
46. C2×#480C22semidirect
47. C2×#479C22semidirect
51. C2×#466C22semidirect
52. C2×#466C22semidirect
55. C2×#459C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
65. C2×#440C22semidirect
67. C2×C4×SD16C22semidirect
68. C2×C4×D8C22semidirect
70. C2×#435C22semidirect
71. C2×#417C22semidirect
73. C2×#416C22semidirect
75. #2856C22semidirect
80. #2541C22semidirect
83. #2537C22semidirect
91. #2428C22semidirect
92. #2428C22semidirect
99. #2414C22semidirect
104. Q8×C4⋊C4C22semidirect
105. #2341C22semidirect
106. #2341C22semidirect
114. #2093C22semidirect
115. #2087C22semidirect
116. #2084C22semidirect
117. #2075C22semidirect
118. #2071C22semidirect
120. #2065C22semidirect
121. #2059C22semidirect
122. #2054C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
128. #2034C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2033C22semidirect
133. #2025C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2011C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
148. #1970C22semidirect
149. #1970C22semidirect
150. #1942C22semidirect
151. #1936C22semidirect
152. #1934C22semidirect
153. #1926C22semidirect
154. #1926C22semidirect
155. #1923C22semidirect
156. #1923C22semidirect
157. #1917C22semidirect
158. #1916C22semidirect
159. #1895C22semidirect
160. #1895C22semidirect
161. #1895C22semidirect
166. #1880C22semidirect
167. #1880C22semidirect
168. #1880C22semidirect
169. #1880C22semidirect
173. #1879C22semidirect
174. #1879C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
180. #1875C22semidirect
182. #1870C22semidirect
183. #1870C22semidirect
184. #1869C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
188. #1863C22semidirect
189. #1863C22semidirect
190. #1862C22semidirect
191. #1854C22semidirect
192. #1854C22semidirect
193. #1809C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
198. C4×#103C22semidirect
199. C4×#102C22semidirect
200. #1753C22semidirect
201. C8×C22⋊C4C22semidirect
202. C4×C22⋊C8C22semidirect
203. #1736C22semidirect
204. #1728C22semidirect
334. #449D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33092
C2×#32742
#594082
#364552
#308902
#307332
#305842
#303962
#289162
#285782
#283012
#272362
#269392
#263792
#261792
#255532
#254142
#252582
#251592
#251482
#251162
#244402
#244352
#240462
#238692
#231182
#228772
#224432
C4×#4492
#209282