Finite Group Databasebeta

← #6996583

Subgroups — #6996583

Order 512.

2592 conjugacy classes of subgroups.

The subgroup lattice has 1745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3#45241C211yesmaximal, characteristic, complemented
4#42475C211yesmaximal, characteristic, complemented
5#31003C211yesmaximal, characteristic, complemented
6#30995C211yesmaximal, characteristic, complemented
7#30753C211yesmaximal, characteristic, complemented
8#30735C211yesmaximal, characteristic, complemented
9#30511C211yesmaximal, characteristic, complemented
10#30511C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30456C211yesmaximal, characteristic, complemented
13#28584C211yesmaximal, characteristic, complemented
14#26982C211yesmaximal, characteristic, complemented
15#26967C211yesmaximal, characteristic, complemented
16#26605C211yesmaximal, characteristic, complemented
17#26588C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25791C211yesmaximal, characteristic, complemented
20#25733C211yesmaximal, characteristic, complemented
21#25138C211yesmaximal, characteristic, complemented
22#25125C211yesmaximal, characteristic, complemented
23#24455C211yesmaximal, characteristic, complemented
24#24435C211yesmaximal, characteristic, complemented
25#23864C211yesmaximal, characteristic, complemented
26#23864C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#23424C211yesmaximal, characteristic, complemented
30#23125C211yesmaximal, characteristic, complemented
31#22056C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic
36C2×#550C2211yescharacteristic, complemented
37C2×#548C2211yescharacteristic, complemented
38C2×#547C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C2×#536C2211yescharacteristic, complemented
42#3274—28no—
43#3265—28no—
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic, complemented
46C2×#493C2211yescharacteristic
47C2×#492C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic
55C2×#460C2211yescharacteristic
56C2×#463C2211yescharacteristic, complemented
57C2×#459C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×C4×SD16C2211yescharacteristic, complemented
75C2×#436C2211yescharacteristic, complemented
76C2×#435C2211yescharacteristic, complemented
77C2×#419C2211yescharacteristic, complemented
78C2×#416C2211yescharacteristic, complemented
79#2812—21no—
80#2699—21no—
81#2682—21no—
82#2681—21no—
83#2679—21no—
84#2678—21no—
85#2678—21no—
86#2676—21no—
87#2673—21no—
88#2619C2211yescharacteristic
89#2613—21no—
90#2613—21no—
91#2544C2211yescharacteristic, complemented
92#2540C2211yescharacteristic, complemented
93#2461—21no—
94#2449—21no—
95#2445—21no—
96#2445C2211yescharacteristic
97#2445C2211yescharacteristic
98#2443—21no—
99#2433C2211yescharacteristic
100#2433C2211yescharacteristic
101#2432C2211yescharacteristic, complemented
102#2431C2211yescharacteristic, complemented
103#2429C2211yescharacteristic, complemented
104#2426C2211yescharacteristic, complemented
105#2420C2211yescharacteristic
106#2420C2211yescharacteristic
107#2414C2211yescharacteristic
108#2414C2211yescharacteristic
109#2409C2211yescharacteristic, complemented
110#2408C2211yescharacteristic
111#2408C2211yescharacteristic
112#2407C2211yescharacteristic, complemented
113#2403—21no—
114#2392C2211yescharacteristic
115#2365C2211yescharacteristic, complemented
116#2324C2211yescharacteristic, complemented
117#2309C2211yescharacteristic
118#2085C2211yescharacteristic, complemented
119#2073C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2066C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2042C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2014C2211yescharacteristic
132#2014C2211yescharacteristic
133#2014C2211yescharacteristic
134#2013C2211yescharacteristic, complemented
135#2013C2211yescharacteristic, complemented
136#2013C2211yescharacteristic, complemented
137#2013C2211yescharacteristic, complemented
138#2013C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2011C2211yescharacteristic
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic
152#2000C2211yescharacteristic
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1972C2211yescharacteristic, complemented
160#1970C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1960C2211yescharacteristic, complemented
163#1958C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1934C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1926C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1916C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1870C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic
201#1753C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1750C2211yescharacteristic, complemented
204#1729C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C22×SD16—24no—
224C22×SD16—42no—
225C22×SD16—42no—
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#550—24no—
251#550—42no—
252#548—24no—
253#548—42no—
254#547—42no—
255#547—42no—
256D42—24no—
257D42—24no—
258D42—42no—
259D42—42no—
260#536—42no—
261#536—42no—
262C2×C4⋊Q8C2311yescharacteristic
263C2×C4⋊Q8C2311yescharacteristic
264C2×#127—21no—
265C2×#127C2311yescharacteristic
266C2×#127C2311yescharacteristic
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#124—21no—
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#124C2311yescharacteristic
273C2×#123—21no—
274C2×#123—21no—
275C2×#123—21no—
276C2×#123—21no—
277C2×#123—21no—
278C2×#123—21no—
279C2×C22⋊Q8—21no—
280C2×C22⋊Q8—21no—
281C2×C22⋊Q8—21no—
282C2×C22⋊Q8C2311yescharacteristic
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2311yescharacteristic
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×C4×Q8C2311yescharacteristic
312C2×C4×Q8C2311yescharacteristic
313C2×C4×D4—21no—
314C2×C4×D4—21no—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×#117C2311yescharacteristic
322C2×#117C2311yescharacteristic
323C22×C4⋊C4—21no—
324#496—24no—
325#496—42no—
326#493—24no—
327#492—42no—
328#469—24no—
329#469—24no—
330#469—42no—
331#468—24no—
332#468—42no—
333#466—24no—
334#463—24no—
335#460—24no—
336#460—24no—
337#459—24no—
338#450—24no—
339#450—42no—
340#450—42no—
341#450—42no—
342#449—24no—
343#449—24no—
344#449—24no—
345#449—42no—
346#449—42no—
347#449—42no—
348#448—24no—
349#448—42no—
350#447—24no—
351#447—42no—
352#447D418yescomplemented
353#440—24no—
354C4×SD16—24no—
355#436—24no—
356#435—24no—
357C2×#107C2311yescharacteristic
358C2×#107C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363#419—42no—
364#416—42no—
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
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×#97C2311yescharacteristic
406C2×#97C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408C2×C4×C8C2311yescharacteristic
409#399—21no—
410#398—21no—
411#398D411yescharacteristic
412#397—21no—
413#397—21no—
414#397D411yescharacteristic
415#396—21no—
416#396—21no—
417#396D411yescharacteristic
418#396D411yescharacteristic
419#395—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394D411yescharacteristic
439#394D411yescharacteristic
440#394D411yescharacteristic
441#393—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392D411yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#391C2311yescharacteristic
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390—21no—
465#390—21no—
466#390—21no—
467#390—21no—
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#389—21no—
479#389—21no—
480#389C2311yescharacteristic
481#389C2311yescharacteristic
482#389C2311yescharacteristic
483#388—21no—
484#388—21no—
485#388—21no—
486#388—21no—
487#388—21no—
488#387—21no—
489#387—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#386—21no—
498#386—21no—
499#386—21no—
500#386—21no—
501#385—21no—
502#385—21no—
503#385—21no—
504#385—21no—
505#385—21no—
506#382C2311yescharacteristic
507#381—21no—
508#381—21no—
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379—21no—
515#379—21no—
516C4×C4⋊C4—21no—
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25—21no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
560C22×Q8—21no—
561C22×Q8—22no—
562C22×Q8—22no—
563C22×Q8—22no—
564C22×Q8—41no—
565C22×Q8—41no—
566C22×Q8—41no—
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×D4—21no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—22no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—82no—
613C22×D4—82no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4C2×D411yescharacteristic
617C22×D4C2×D411yescharacteristic
618C22×D4C2×D414yes—
619C22×D4C2×D411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636AGL(1,ℤ/8)—416no—
637AGL(1,ℤ/8)—416no—
638AGL(1,ℤ/8)—416no—
639C2×SD16—22no—
640C2×SD16—22no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—416no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—41no—
685C2×D8—41no—
686C2×D8—41no—
687C2×D8—41no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8C2×D414yes—
699C2×D8C2×D414yes—
700C2×M16—22no—
701C2×M16—22no—
702C2×M16—22no—
703C2×M16—22no—
704C2×M16—22no—
705C2×M16—22no—
706C2×M16—41no—
707C2×M16—41no—
708C2×M16—41no—
709C22×C8—22no—
710C22×C8—22no—
711C22×C8—41no—
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C4⋊Q8—22no—
721C4⋊Q8—22no—
722C4⋊Q8—22no—
723C4⋊Q8—41no—
724#127—22no—
725#127—22no—
726#127—22no—
727#127—41no—
728#127—41no—
729#127—41no—
730#127—41no—
731#127—41no—
732#127—44no—
733#124—22no—
734#124—22no—
735#124—41no—
736#124—41no—
737#124—41no—
738#124—41no—
739#124—44no—
740#123—44no—
741#123—44no—
742#123—44no—
743#123—44no—
744#123—82no—
745#123—82no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—44no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—44no—
754C22⋊Q8—44no—
755C22⋊Q8—41no—
756C22⋊Q8—41no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—44no—
766#121—44no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—44no—
771#121—44no—
772#121—44no—
773#121—44no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121C2×D414yes—
781#120—44no—
782#120—44no—
783#120—44no—
784#120—44no—
785#120—82no—
786#120—82no—
787#120—82no—
788#120—82no—
789#120—82no—
790#120—82no—
791C4×Q8—22no—
792C4×Q8—22no—
793C4×Q8—41no—
794C4×Q8—41no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—41no—
802C4×D4—41no—
803C4×D4—41no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—44no—
808C4×D4—44no—
809#117—41no—
810#117—41no—
811#117—41no—
812#117—41no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
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—44no—
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2×D411yescharacteristic
833C2×C4⋊C4C2×D411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
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—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
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×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C42—21no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907#107—22no—
908#107—41no—
909#106—22no—
910#106—41no—
911C4⋊C8—22no—
912C4⋊C8—22no—
913#103—22no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—22no—
918#103—22no—
919#103—41no—
920#103—41no—
921#103—41no—
922#103—41no—
923#103—41no—
924#103—41no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102C2×D414yes—
944#102C2×D414yes—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—41no—
951C22⋊C8—41no—
952C22⋊C8C2×D414yes—
953#97—22no—
954#97—41no—
955C4×C8—22no—
956C4×C8—41no—
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#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978C24—21no—
979C24—21no—
980C24—21no—
981C24—24no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—42no—
986C24—42no—
987C24—42no—
988C24—42no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24—81no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24C22×D411yescharacteristic
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008#41—44no—
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—82no—
1013#41—82no—
1014#41—82no—
1015#41—82no—
1016#41—82no—
1017#41—82no—
1018#41—82no—
1019#41—82no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—21no—
1024C2×Q8—21no—
1025C2×Q8—21no—
1026C2×Q8—21no—
1027C2×Q8—21no—
1028C2×Q8—21no—
1029C2×Q8—21no—
1030C2×Q8—21no—
1031C2×Q8—21no—
1032C2×Q8—21no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—42no—
1037C2×Q8—44no—
1038C2×Q8—44no—
1039C2×Q8—42no—
1040C2×Q8—81no—
1041C2×Q8—82no—
1042C2×Q8—82no—
1043C2×Q8H(5,𝔽2)12yes—
1044C2×Q8H(5,𝔽2)12yes—
1045C2×D4—22no—
1046C2×D4—22no—
1047C2×D4—24no—
1048C2×D4—24no—
1049C2×D4—22no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
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—44no—
1084C2×D4—44no—
1085C2×D4—41no—
1086C2×D4—41no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
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—42no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—82no—
1143C2×D4—82no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C2×D4—82no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
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—816no—
1169C2×D4—816no—
1170C2×D4C22×D412yes—
1171C2×D4C22×D412yes—
1172C2×D4C22×D412yes—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—42no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—81no—
1213C22×C4—81no—
1214C22×C4—81no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D412yes—
1231C22×C4C22×D411yescharacteristic
1232C22×C4H(5,𝔽2)12yes—
1233C22×C4C2511yescharacteristic
1234SD16—28no—
1235SD16—28no—
1236SD16—44no—
1237SD16—44no—
1238SD16—44no—
1239SD16—44no—
1240SD16—44no—
1241SD16—44no—
1242SD16—82no—
1243SD16—82no—
1244SD16—82no—
1245SD16—82no—
1246D8—44no—
1247D8—44no—
1248D8—44no—
1249D8—44no—
1250D8—44no—
1251D8—44no—
1252D8—82no—
1253D8—82no—
1254M16—44no—
1255M16—44no—
1256M16—44no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—44no—
1278C2×C8C22×D412yes—
1279C2×C8C22×D412yes—
1280C2×C8H(5,𝔽2)12yes—
1281C2×C8H(5,𝔽2)12yes—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—81no—
1312C4⋊C4—81no—
1313C4⋊C4—81no—
1314C4⋊C4—81no—
1315C4⋊C4C22×D412yes—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—24no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C42—21no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—21no—
1380C42—21no—
1381C42—21no—
1382C42—42no—
1383C42—42no—
1384C42—81no—
1385C42—81no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—21no—
1401C23—22no—
1402C23—22no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23—162no—
1468C23—162no—
1469C23D4212yes—
1470C23C23×D411yescharacteristic
1471Q8—22no—
1472Q8—22no—
1473Q8—22no—
1474Q8—22no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—84no—
1484D4—22no—
1485D4—22no—
1486D4—22no—
1487D4—22no—
1488D4—22no—
1489D4—22no—
1490D4—44no—
1491D4—44no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—82no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530D4—162no—
1531D4—162no—
1532D4—162no—
1533D4—162no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
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—84no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—84no—
1611C2×C4—84no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4D4212yes—
1615C2×C4#57712yes—
1616C2×C4C23×D411yescharacteristic
1617C2×C4C2×H(5,𝔽2)11yescharacteristic
1618C2×C4C2×H(5,𝔽2)11yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C8—22no—
1623C8—22no—
1624C8—22no—
1625C8—22no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—41no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—42no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—81no—
1691C22—81no—
1692C22—81no—
1693C22—168no—
1694C22—168no—
1695C22—168no—
1696C22C2×D4211yescharacteristic
1697C22#348411yescharacteristic
1698C22#349811yescharacteristic
1699C22C2×#57711yescharacteristic
1700C22#358511yescharacteristic
1701C22#358511yescharacteristic
1702C22#358511yescharacteristic
1703C4—22no—
1704C4—22no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4—81no—
1724C4#348411yescharacteristic
1725C4#348411yescharacteristic
1726C4#353711yescharacteristic
1727C4#353711yescharacteristic
1728C2—42no—
1729C2—81no—
1730C2—81no—
1731C2—82no—
1732C2—82no—
1733C2—82no—
1734C2—161no—
1735C2—161no—
1736C2—161no—
1737C2#4300111yescharacteristic
1738C2#6105811yescharacteristic
1739C2#6107111yescharacteristic
1740C2#6165111yescharacteristic
1741C2#6168211yescharacteristic
1742C2#6244111yescharacteristic
1743C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3274C2semidirect
2. C2×#3265C2semidirect
3. #45241C2semidirect
4. #42475C2semidirect
5. #31003C2semidirect
6. #30995C2semidirect
7. #30753C2semidirect
8. #30735C2semidirect
9. #30511C2semidirect
10. #30511C2semidirect
11. #30472C2semidirect
12. #30456C2semidirect
13. #28584C2semidirect
14. #26982C2semidirect
15. #26967C2semidirect
16. #26605C2semidirect
17. #26588C2semidirect
18. #25794C2semidirect
19. #25791C2semidirect
20. #25733C2semidirect
21. #25138C2semidirect
22. #25125C2semidirect
23. #24455C2semidirect
24. #24435C2semidirect
25. #23864C2semidirect
26. #23864C2semidirect
27. #23860C2semidirect
28. #23849C2semidirect
29. #23424C2semidirect
30. #23125C2semidirect
31. #22056C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
36. C2×#550C22semidirect
37. C2×#548C22semidirect
38. C2×#547C22semidirect
41. C2×#536C22semidirect
45. C2×#496C22semidirect
47. C2×#492C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#466C22semidirect
56. C2×#463C22semidirect
57. C2×#459C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#440C22semidirect
74. C2×C4×SD16C22semidirect
75. C2×#436C22semidirect
76. C2×#435C22semidirect
77. C2×#419C22semidirect
78. C2×#416C22semidirect
91. #2544C22semidirect
92. #2540C22semidirect
101. #2432C22semidirect
102. #2431C22semidirect
103. #2429C22semidirect
104. #2426C22semidirect
109. #2409C22semidirect
112. #2407C22semidirect
115. #2365C22semidirect
116. #2324C22semidirect
118. #2085C22semidirect
119. #2073C22semidirect
120. #2068C22semidirect
121. #2066C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2042C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2035C22semidirect
128. #2035C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
134. #2013C22semidirect
135. #2013C22semidirect
136. #2013C22semidirect
137. #2013C22semidirect
138. #2013C22semidirect
139. #2013C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
157. #1999C22semidirect
158. #1973C22semidirect
159. #1972C22semidirect
160. #1970C22semidirect
161. #1968C22semidirect
162. #1960C22semidirect
163. #1958C22semidirect
164. #1936C22semidirect
165. #1936C22semidirect
166. #1934C22semidirect
167. #1933C22semidirect
168. #1926C22semidirect
169. #1926C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1917C22semidirect
175. #1916C22semidirect
176. #1895C22semidirect
177. #1894C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
190. #1875C22semidirect
191. #1870C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
197. #1854C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
201. #1753C22semidirect
202. #1753C22semidirect
203. #1750C22semidirect
204. #1729C22semidirect
352. #447D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#32652
#452412
#424752
#310032
#309952
#307532
#307352
#305112
#304722
#304562
#285842
#269822
#269672
#266052
#265882
#257942
#257912
#257332
#251382
#251252
#244552
#244352
#238642
#238602
#238492
#234242
#231252
#220562