Finite Group Databasebeta

← #6667548

Subgroups — #6667548

Order 512.

2988 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3268C211yesmaximal, characteristic, complemented
2C2×#3002C211yesmaximal, characteristic, complemented
3#39861C211yesmaximal, characteristic, complemented
4#36212C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31061C211yesmaximal, characteristic, complemented
7#31060C211yesmaximal, characteristic, complemented
8#30998C211yesmaximal, characteristic, complemented
9#30989C211yesmaximal, characteristic, complemented
10#30462C211yesmaximal, characteristic, complemented
11#30461C211yesmaximal, characteristic, complemented
12#30415C211yesmaximal, characteristic, complemented
13#30413C211yesmaximal, characteristic, complemented
14#29730C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28337C211yesmaximal, characteristic, complemented
17#28106C211yesmaximal, characteristic, complemented
18#25162C211yesmaximal, characteristic, complemented
19#25148C211yesmaximal, characteristic, complemented
20#24919C211yesmaximal, characteristic, complemented
21#24917C211yesmaximal, characteristic, complemented
22#24537C211yesmaximal, characteristic, complemented
23#24364C211yesmaximal, characteristic, complemented
24#24245C211yesmaximal, characteristic, complemented
25#24236C211yesmaximal, characteristic, complemented
26#24037C211yesmaximal, characteristic, complemented
27#23863C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23857C211yesmaximal, characteristic, complemented
30#22448C211yesmaximal, characteristic, complemented
31#22032C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic
35C22×#135C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic, complemented
37C2×#546C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×#525C2211yescharacteristic, complemented
41#3268—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic, complemented
45C2×#466C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic, complemented
48C2×#459C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic, complemented
50#3002—28no—
51C2×#452C2211yescharacteristic
52C2×#452C2211yescharacteristic, complemented
53C2×#452C2211yescharacteristic, complemented
54C2×#452C2211yescharacteristic, complemented
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic, complemented
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#451C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic, complemented
70C2×#440C2211yescharacteristic, complemented
71C2×C4×D8C2211yescharacteristic, complemented
72C2×C4×D8C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#416C2211yescharacteristic
75C2×#416C2211yescharacteristic, complemented
76C22×C22⋊C8C2211yescharacteristic, complemented
77#2849—21no—
78#2847C2211yescharacteristic
79#2847C2211yescharacteristic, complemented
80#2709—21no—
81#2708—21no—
82#2669—21no—
83#2668—21no—
84#2635—21no—
85#2600—21no—
86#2543—21no—
87#2537C2211yescharacteristic
88#2535C2211yescharacteristic, complemented
89#2500C2211yescharacteristic, complemented
90#2485C2211yescharacteristic, complemented
91#2436C2211yescharacteristic
92#2431C2211yescharacteristic
93#2431C2211yescharacteristic
94#2430—21no—
95#2430—21no—
96#2428C2211yescharacteristic, complemented
97#2428C2211yescharacteristic, complemented
98#2423C2211yescharacteristic, complemented
99#2421C2211yescharacteristic, complemented
100#2410—21no—
101#2409C2211yescharacteristic
102#2407C2211yescharacteristic
103#2407C2211yescharacteristic
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic, complemented
106#2404—21no—
107#2404—21no—
108#2403—21no—
109#2339C2211yescharacteristic
110#2339C2211yescharacteristic
111#2339C2211yescharacteristic, complemented
112D4×C22⋊C4C2211yescharacteristic
113#2325—21no—
114C4×#120C2211yescharacteristic
115C2×#386—21no—
116#2095C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2075C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2074C2211yescharacteristic, complemented
121#2072C2211yescharacteristic, complemented
122#2068C2211yescharacteristic, complemented
123#2067C2211yescharacteristic, complemented
124#2056C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2055C2211yescharacteristic, complemented
127#2055C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2036C2211yescharacteristic, complemented
133#2035C2211yescharacteristic, complemented
134#2035C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1970C2211yescharacteristic, complemented
157#1969C2211yescharacteristic, complemented
158#1969C2211yescharacteristic, complemented
159#1968C2211yescharacteristic, complemented
160#1958C2211yescharacteristic, complemented
161#1957C2211yescharacteristic, complemented
162#1954C2211yescharacteristic
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1923C2211yescharacteristic, complemented
169#1923C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1879C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1878C2211yescharacteristic, complemented
179#1877C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1864C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1808C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1787C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1779C2211yescharacteristic, complemented
204C8×C22⋊C4C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4—21no—
221C23×D4—21no—
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4—21no—
225C24×C4C2311yescharacteristic
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×#135—24no—
230C2×#135—42no—
231C2×#135—42no—
232C2×#135—42no—
233C2×#135—42no—
234C2×#135D418yescomplemented
235C22×Q16C2311yescharacteristic
236C22×Q16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C23×C8C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#550—24no—
254#550—42no—
255#546—24no—
256#546—42no—
257#546—42no—
258#546—42no—
259D42—42no—
260D42—42no—
261C2×#127—21no—
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266#525—24no—
267#525—42no—
268C2×#123—21no—
269C2×#123—21no—
270C2×#123—21no—
271C2×C22⋊Q8C2311yescharacteristic
272C2×C22⋊Q8C2311yescharacteristic
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120D411yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×#117C2311yescharacteristic
314C22×C22⋊C4—21no—
315C22×C22⋊C4—21no—
316C22×C22⋊C4—21no—
317#496—24no—
318#482—42no—
319#468—24no—
320#466—24no—
321#464—24no—
322#463—42no—
323#459—24no—
324#459—42no—
325#452—24no—
326#452—24no—
327#452—24no—
328#452—42no—
329#451—24no—
330#450—24no—
331#449—24no—
332#449—24no—
333#449—24no—
334#449—24no—
335#449—42no—
336#449—42no—
337#449—42no—
338#449—42no—
339#448—24no—
340#448—42no—
341#447—24no—
342#447—24no—
343#447—42no—
344#440—24no—
345C4×D8—42no—
346C4×D8—42no—
347#435—24no—
348C2×#107C2311yescharacteristic
349C2×#107C2311yescharacteristic
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356#416—24no—
357#416—24no—
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×C22⋊C8—24no—
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×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#400—21no—
410#399—21no—
411#398—21no—
412#397—21no—
413#397—21no—
414#397—21no—
415#395—21no—
416#394—21no—
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#393—21no—
428#393—21no—
429#393—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#388—21no—
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#387—21no—
459#387—21no—
460#387—21no—
461#386—21no—
462#386—21no—
463#386—21no—
464#386—21no—
465#386—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
470#386—21no—
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#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386D411yescharacteristic
491#386D411yescharacteristic
492#386D411yescharacteristic
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#385D411yescharacteristic
499#385D411yescharacteristic
500#385D411yescharacteristic
501#384C2311yescharacteristic
502#382C2311yescharacteristic
503#381—21no—
504#381—21no—
505#381—21no—
506#380—21no—
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#380C2311yescharacteristic
514#380C2311yescharacteristic
515#379—21no—
516#379D411yescharacteristic
517C4×C22⋊C4C2311yescharacteristic
518C4×C22⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C2×#95—21no—
521C2×#95—21no—
522C2×#95—21no—
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—44no—
558C2×#41—41no—
559C2×#41—41no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—44no—
570C2×#41—44no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—44no—
580C2×#41—44no—
581C2×#41—44no—
582C2×#41—416no—
583C2×#41—416no—
584C2×#41—416no—
585C2×#41—416no—
586C2×#41C2×D414yes—
587C2×#41C2×D414yescomplemented
588C22×Q8—21no—
589C22×Q8—22no—
590C22×Q8—22no—
591C22×Q8—41no—
592C22×Q8—41no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—22no—
605C22×D4—22no—
606C22×D4—22no—
607C22×D4—22no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—21no—
624C22×D4—21no—
625C22×D4—21no—
626C22×D4—21no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—82no—
638C22×D4C2×D411yescharacteristic
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—22no—
649C23×C4—22no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—21no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—21no—
659C23×C4—21no—
660C23×C4—41no—
661C23×C4—41no—
662C23×C4—41no—
663C23×C4—41no—
664C23×C4—44no—
665C23×C4—44no—
666C23×C4—44no—
667C23×C4C2×D411yescharacteristic
668C23×C4C2×D411yescharacteristic
669C23×C4C2×D411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674AGL(1,ℤ/8)—416no—
675#135—416no—
676#135—416no—
677C2×Q16—22no—
678C2×Q16—22no—
679C2×Q16—41no—
680C2×Q16—41no—
681C2×Q16—41no—
682C2×Q16C2×D414yescomplemented
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—22no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16C2×D414yes—
703C2×SD16C2×D414yescomplemented
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—22no—
710C2×D8—22no—
711C2×D8—22no—
712C2×D8—22no—
713C2×D8—22no—
714C2×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×D8—41no—
720C2×D8—41no—
721C2×D8C2×D414yes—
722C2×M16—22no—
723C2×M16—41no—
724C2×M16—41no—
725C22×C8—22no—
726C22×C8—41no—
727C22×C8—41no—
728C22×C8—41no—
729C22×C8—41no—
730C22×C8C2×D414yescomplemented
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C22×C8C2411yescharacteristic
737C22×C8C2411yescharacteristic
738C22×C8C2411yescharacteristic
739#127—22no—
740#127—22no—
741#127—41no—
742#127—41no—
743#127—44no—
744#124—22no—
745#124—22no—
746#124—41no—
747#124—41no—
748#123—44no—
749#123—44no—
750#123—44no—
751C22⋊Q8—22no—
752C22⋊Q8—22no—
753C22⋊Q8—22no—
754C22⋊Q8—22no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757C22⋊Q8—41no—
758C22⋊Q8—41no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—44no—
768#121—44no—
769#121—44no—
770#121—44no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—44no—
780#121—44no—
781#121—41no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—82no—
786#121—82no—
787#120—42no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—82no—
794#120—82no—
795C4×Q8—22no—
796C4×Q8—41no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—22no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812C4×D4—41no—
813C4×D4—44no—
814C4×D4—44no—
815C4×D4—44no—
816#117—22no—
817#117—22no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—44no—
879C2×C22⋊C4—44no—
880C2×C22⋊C4—82no—
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C42—21no—
894C2×C42—21no—
895C2×C42C2411yescharacteristic
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898#107—22no—
899#107—41no—
900#107—41no—
901#107—41no—
902#106—41no—
903C4⋊C8—22no—
904C4⋊C8—41no—
905C4⋊C8—41no—
906#103—22no—
907#103—22no—
908#103—22no—
909#103—22no—
910#103—22no—
911#103—22no—
912#103—22no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#103—41no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940C22⋊C8—22no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—41no—
948C22⋊C8—41no—
949C22⋊C8—41no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8—41no—
953#97—22no—
954C4×C8—41no—
955C4×C8—41no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986C24—21no—
987C24—24no—
988C24—21no—
989C24—21no—
990C24—22no—
991C24—22no—
992C24—21no—
993C24—21no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—41no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016#41—28no—
1017#41—28no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—432no—
1033#41—432no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040#41—82no—
1041#41—82no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—42no—
1058C2×Q8—42no—
1059C2×Q8—42no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8C22×D412yes—
1065C2×Q8C22×D412yes—
1066C2×Q8H(5,𝔽2)12yes—
1067C2×D4—24no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—24no—
1073C2×D4—22no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—41no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—432no—
1129C2×D4—42no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—82no—
1155C2×D4—82no—
1156C2×D4—82no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—816no—
1177C2×D4C22×D412yes—
1178C2×D4C22×D412yes—
1179C2×D4H(5,𝔽2)12yes—
1180C2×D4H(5,𝔽2)12yes—
1181C2×D4H(5,𝔽2)12yes—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—24no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—432no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4—81no—
1260C22×C4—81no—
1261C22×C4—81no—
1262C22×C4—81no—
1263C22×C4—81no—
1264C22×C4—81no—
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D411yescharacteristic
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4C22×D411yescharacteristic
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D412yes—
1275C22×C4C22×D411yescharacteristic
1276C22×C4H(5,𝔽2)12yes—
1277C22×C4C2511yescharacteristic
1278Q16—44no—
1279Q16—44no—
1280SD16—28no—
1281SD16—44no—
1282SD16—44no—
1283SD16—44no—
1284SD16—44no—
1285SD16—82no—
1286SD16—82no—
1287D8—28no—
1288D8—44no—
1289D8—44no—
1290D8—44no—
1291D8—82no—
1292D8—82no—
1293M16—44no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—44no—
1317C2×C8—44no—
1318C2×C8C22×D412yes—
1319C2×C8C22×D412yes—
1320C4⋊C4—22no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—21no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—81no—
1346C4⋊C4—81no—
1347C4⋊C4—81no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C42—21no—
1401C42—21no—
1402C42—21no—
1403C42—21no—
1404C42—21no—
1405C42—21no—
1406C42—42no—
1407C42—42no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—44no—
1440C23—44no—
1441C23—48no—
1442C23—48no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23—82no—
1481C23—82no—
1482C23—84no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—162no—
1488C23—162no—
1489C23—162no—
1490C23D4212yes—
1491C23#57612yes—
1492C23C23×D411yescharacteristic
1493Q8—22no—
1494Q8—22no—
1495Q8—22no—
1496Q8—22no—
1497Q8—22no—
1498Q8—22no—
1499Q8—48no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8—41no—
1505Q8—41no—
1506D4—22no—
1507D4—22no—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—22no—
1512D4—22no—
1513D4—44no—
1514D4—48no—
1515D4—48no—
1516D4—48no—
1517D4—48no—
1518D4—48no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—84no—
1532D4—82no—
1533D4—84no—
1534D4—84no—
1535D4—82no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4#53414yes—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—48no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—48no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—84no—
1639C2×C4—162no—
1640C2×C4—162no—
1641C2×C4—162no—
1642C2×C4—162no—
1643C2×C4D4212yes—
1644C2×C4#57512yes—
1645C2×C4C23×D411yescharacteristic
1646C2×C4C2×H(5,𝔽2)11yescharacteristic
1647C2×C4C2×H(5,𝔽2)11yescharacteristic
1648C2×C4C2×H(5,𝔽2)11yescharacteristic
1649C2×C4C2×H(5,𝔽2)11yescharacteristic
1650C2×C4C2×H(5,𝔽2)11yescharacteristic
1651C8—22no—
1652C8—22no—
1653C8—41no—
1654C8—41no—
1655C8—41no—
1656C8—41no—
1657C8—41no—
1658C8—41no—
1659C22—22no—
1660C22—24no—
1661C22—22no—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—22no—
1666C22—41no—
1667C22—41no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—42no—
1675C22—41no—
1676C22—41no—
1677C22—42no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—42no—
1684C22—41no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—42no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—88no—
1701C22—816no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—168no—
1725C22C2×D4211yescharacteristic
1726C22#348411yescharacteristic
1727C22#348411yescharacteristic
1728C22C2×#57511yescharacteristic
1729C22C2×#57611yescharacteristic
1730C22#358411yescharacteristic
1731C22#358411yescharacteristic
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—81no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4C2×#53411yescharacteristic
1754C4#348411yescharacteristic
1755C4#353211yescharacteristic
1756C4#353211yescharacteristic
1757C2—42no—
1758C2—42no—
1759C2—44no—
1760C2—81no—
1761C2—81no—
1762C2—82no—
1763C2—82no—
1764C2—161no—
1765C2—161no—
1766C2#3764411yescharacteristic
1767C2#6103811yescharacteristic
1768C2#6105611yescharacteristic
1769C2#6159211yescharacteristic
1770C2#6159911yescharacteristic
1771C2#6163511yescharacteristic
1772C2#6163911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3268C2semidirect
2. C2×#3002C2semidirect
3. #39861C2semidirect
4. #36212C2semidirect
5. #32880C2semidirect
6. #31061C2semidirect
7. #31060C2semidirect
8. #30998C2semidirect
9. #30989C2semidirect
10. #30462C2semidirect
11. #30461C2semidirect
12. #30415C2semidirect
13. #30413C2semidirect
14. #29730C2semidirect
15. #29600C2semidirect
16. #28337C2semidirect
17. #28106C2semidirect
18. #25162C2semidirect
19. #25148C2semidirect
20. #24919C2semidirect
21. #24917C2semidirect
22. #24537C2semidirect
23. #24364C2semidirect
24. #24245C2semidirect
25. #24236C2semidirect
26. #24037C2semidirect
27. #23863C2semidirect
28. #23860C2semidirect
29. #23857C2semidirect
30. #22448C2semidirect
31. #22032C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
35. C22×#135C22semidirect
36. C2×#550C22semidirect
40. C2×#525C22semidirect
42. C2×#496C22semidirect
43. C2×#482C22semidirect
44. C2×#468C22semidirect
45. C2×#466C22semidirect
46. C2×#464C22semidirect
47. C2×#463C22semidirect
48. C2×#459C22semidirect
49. C2×#459C22semidirect
52. C2×#452C22semidirect
53. C2×#452C22semidirect
54. C2×#452C22semidirect
58. C2×#449C22semidirect
59. C2×#449C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#451C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
69. C2×#447C22semidirect
70. C2×#440C22semidirect
71. C2×C4×D8C22semidirect
72. C2×C4×D8C22semidirect
73. C2×#435C22semidirect
75. C2×#416C22semidirect
76. C22×C22⋊C8C22semidirect
79. #2847C22semidirect
88. #2535C22semidirect
89. #2500C22semidirect
90. #2485C22semidirect
96. #2428C22semidirect
97. #2428C22semidirect
98. #2423C22semidirect
99. #2421C22semidirect
105. #2407C22semidirect
111. #2339C22semidirect
116. #2095C22semidirect
117. #2092C22semidirect
118. #2075C22semidirect
119. #2075C22semidirect
120. #2074C22semidirect
121. #2072C22semidirect
122. #2068C22semidirect
123. #2067C22semidirect
124. #2056C22semidirect
125. #2055C22semidirect
126. #2055C22semidirect
127. #2055C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2036C22semidirect
131. #2036C22semidirect
132. #2036C22semidirect
133. #2035C22semidirect
134. #2035C22semidirect
135. #2034C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2015C22semidirect
143. #2014C22semidirect
144. #2014C22semidirect
145. #2012C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1970C22semidirect
157. #1969C22semidirect
158. #1969C22semidirect
159. #1968C22semidirect
160. #1958C22semidirect
161. #1957C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1935C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1923C22semidirect
169. #1923C22semidirect
170. #1895C22semidirect
171. #1894C22semidirect
172. #1893C22semidirect
173. #1893C22semidirect
174. #1880C22semidirect
175. #1879C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1878C22semidirect
179. #1877C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1864C22semidirect
188. #1862C22semidirect
189. #1850C22semidirect
190. #1825C22semidirect
191. #1808C22semidirect
192. #1804C22semidirect
193. #1802C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1787C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1779C22semidirect
204. C8×C22⋊C4C22semidirect
234. C2×#135D4semidirect
587. C2×#41C2×D4semidirect
682. C2×Q16C2×D4semidirect
703. C2×SD16C2×D4semidirect
730. C22×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32682
C2×#30022
#398612
#362122
#328802
#310612
#310602
#309982
#309892
#304622
#304612
#304152
#304132
#297302
#296002
#283372
#281062
#251622
#251482
#249192
#249172
#245372
#243642
#242452
#242362
#240372
#238632
#238602
#238572
#224482
#220322