Finite Group Databasebeta

← #6809396

Subgroups — #6809396

Order 512.

2580 conjugacy classes of subgroups.

The subgroup lattice has 1769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3155C211yesmaximal, characteristic, complemented
3#42969C211yesmaximal, characteristic, complemented
4#42422C211yesmaximal, characteristic, complemented
5#33140C211yesmaximal, characteristic, complemented
6#30752C211yesmaximal, characteristic, complemented
7#30749C211yesmaximal, characteristic, complemented
8#30740C211yesmaximal, characteristic, complemented
9#30733C211yesmaximal, characteristic, complemented
10#30468C211yesmaximal, characteristic, complemented
11#30462C211yesmaximal, characteristic, complemented
12#30446C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#29630C211yesmaximal, characteristic, complemented
15#29630C211yesmaximal, characteristic, complemented
16#28475C211yesmaximal, characteristic, complemented
17#28458C211yesmaximal, characteristic, complemented
18#26257C211yesmaximal, characteristic, complemented
19#26251C211yesmaximal, characteristic, complemented
20#25794C211yesmaximal, characteristic, complemented
21#25794C211yesmaximal, characteristic, complemented
22#25793C211yesmaximal, characteristic, complemented
23#25426C211yesmaximal, characteristic, complemented
24#25419C211yesmaximal, characteristic, complemented
25#24364C211yesmaximal, characteristic, complemented
26#24354C211yesmaximal, characteristic, complemented
27#24277C211yesmaximal, characteristic, complemented
28#23857C211yesmaximal, characteristic, complemented
29#23848C211yesmaximal, characteristic, complemented
30#22442C211yesmaximal, characteristic, complemented
31#21571C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×#135C2211yescharacteristic, complemented
36C23×D8C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic, complemented
41#3274—28no—
42#3155—28no—
43C2×#496C2211yescharacteristic
44C2×#496C2211yescharacteristic
45C2×#496C2211yescharacteristic, complemented
46C2×#496C2211yescharacteristic, complemented
47C2×#496C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic
49C2×#495C2211yescharacteristic, complemented
50C2×#493C2211yescharacteristic
51C2×#493C2211yescharacteristic, complemented
52C2×#493C2211yescharacteristic, complemented
53C2×#493C2211yescharacteristic, complemented
54C2×#469C2211yescharacteristic
55C2×#469C2211yescharacteristic, complemented
56C2×#469C2211yescharacteristic, complemented
57C2×#468C2211yescharacteristic, complemented
58C2×#460C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#459C2211yescharacteristic, complemented
62C2×#459C2211yescharacteristic, complemented
63C2×#459C2211yescharacteristic, complemented
64C2×#452C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic, complemented
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#447C2211yescharacteristic, complemented
74C2×#442C2211yescharacteristic, complemented
75C2×C4×SD16C2211yescharacteristic, complemented
76C2×C4×D8C2211yescharacteristic, complemented
77C2×#436C2211yescharacteristic
78C2×#405C2211yescharacteristic, complemented
79#2815—21no—
80#2812—21no—
81#2688—21no—
82#2671—21no—
83#2669—21no—
84#2669—21no—
85#2668—21no—
86#2668—21no—
87#2668—21no—
88#2668—21no—
89#2656—21no—
90#2635—21no—
91#2624C2211yescharacteristic
92#2624C2211yescharacteristic, complemented
93#2617—21no—
94#2613—21no—
95#2544C2211yescharacteristic, complemented
96#2543—21no—
97#2541C2211yescharacteristic, complemented
98#2541C2211yescharacteristic, complemented
99#2541C2211yescharacteristic, complemented
100#2448C2211yescharacteristic, complemented
101#2448C2211yescharacteristic, complemented
102#2447C2211yescharacteristic, complemented
103#2445C2211yescharacteristic, complemented
104#2435C2211yescharacteristic, complemented
105#2433C2211yescharacteristic, complemented
106#2433C2211yescharacteristic, complemented
107#2431C2211yescharacteristic
108#2431C2211yescharacteristic, complemented
109#2431C2211yescharacteristic, complemented
110#2428C2211yescharacteristic, complemented
111#2428C2211yescharacteristic, complemented
112#2428C2211yescharacteristic, complemented
113#2427C2211yescharacteristic, complemented
114#2410—21no—
115#2408C2211yescharacteristic
116#2407C2211yescharacteristic
117#2395C2211yescharacteristic
118#2339C2211yescharacteristic, complemented
119D4×C22⋊C4C2211yescharacteristic
120#2056C2211yescharacteristic, complemented
121#2055C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic
125#2054C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2011C2211yescharacteristic
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic
157#1999C2211yescharacteristic
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1970C2211yescharacteristic, complemented
164#1970C2211yescharacteristic, complemented
165#1968C2211yescharacteristic, complemented
166#1968C2211yescharacteristic, complemented
167#1968C2211yescharacteristic, complemented
168#1943C2211yescharacteristic, complemented
169#1941C2211yescharacteristic, complemented
170#1936C2211yescharacteristic, complemented
171#1936C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1934C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1917C2211yescharacteristic, complemented
177#1916C2211yescharacteristic, complemented
178#1893C2211yescharacteristic
179#1893C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1877C2211yescharacteristic, complemented
191#1877C2211yescharacteristic, complemented
192#1869C2211yescharacteristic
193#1850C2211yescharacteristic, complemented
194#1818C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic, complemented
200#1771C2211yescharacteristic, complemented
201C8×C4⋊C4C2211yescharacteristic, complemented
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
220C2×AGL(1,ℤ/8)D418yescomplemented
221C2×#135—24no—
222C2×#135—42no—
223C2×#135—42no—
224C22×Q16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×D8—24no—
234C22×D8—42no—
235C22×D8—42no—
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic
252C22×M16C2311yescharacteristic
253C22×M16C2311yescharacteristic
254C23×C8C2311yescharacteristic
255#550—24no—
256#550—42no—
257D42—24no—
258D42—42no—
259#535—24no—
260#535—24no—
261#535—42no—
262#535—42no—
263C2×#127—21no—
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#127C2311yescharacteristic
267C2×#127C2311yescharacteristic
268C2×#127C2311yescharacteristic
269C2×#127C2311yescharacteristic
270C2×#127C2311yescharacteristic
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#124C2311yescharacteristic
274C2×#124C2311yescharacteristic
275C2×#124C2311yescharacteristic
276C2×#124C2311yescharacteristic
277C2×#124C2311yescharacteristic
278C2×#123—21no—
279C2×C22⋊Q8C2311yescharacteristic
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
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×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×C4×Q8C2311yescharacteristic
315C2×C4×D4—21no—
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×#117C2311yescharacteristic
323C22×C22⋊C4—21no—
324#496—24no—
325#496—24no—
326#496—24no—
327#496—24no—
328#496—42no—
329#495—24no—
330#495—24no—
331#493—24no—
332#493—24no—
333#493—24no—
334#493—42no—
335#469—24no—
336#469—24no—
337#469—42no—
338#468—42no—
339#463—42no—
340#460—24no—
341#459—24no—
342#459—42no—
343#459—42no—
344#459—42no—
345#452—42no—
346#449—24no—
347#449—24no—
348#449—42no—
349#449—42no—
350#447—24no—
351#447—24no—
352#447—42no—
353#447—42no—
354#447—42no—
355#442—42no—
356C4×SD16—24no—
357C4×D8—42no—
358#436—24no—
359C2×#107C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363C2×C4⋊C8C2311yescharacteristic
364C2×C4⋊C8C2311yescharacteristic
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×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400#405—24no—
401C2×#97C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408#400D411yescharacteristic
409#399—21no—
410#399—21no—
411#399—21no—
412#399—21no—
413#399D411yescharacteristic
414#398D411yescharacteristic
415#397—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#397—21no—
420#397—21no—
421#397—21no—
422#397D411yescharacteristic
423#397D411yescharacteristic
424#397D411yescharacteristic
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#394—21no—
439#394—21no—
440#394—21no—
441#394D411yescharacteristic
442#394D411yescharacteristic
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#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#392—21no—
462#392—21no—
463#392—21no—
464#391C2311yescharacteristic
465#391C2311yescharacteristic
466#391C2311yescharacteristic
467#391C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#389C2311yescharacteristic
481#389C2311yescharacteristic
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#388—21no—
485#388—21no—
486#388—21no—
487#388—21no—
488#386—21no—
489#386—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#386—21no—
502#386—21no—
503#386—21no—
504#386—21no—
505#386—21no—
506#385—21no—
507#385—21no—
508#381—21no—
509#381—21no—
510#380—21no—
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515#379—21no—
516#379—21no—
517C4×C4⋊C4C2311yescharacteristic
518C4×C4⋊C4C2311yescharacteristic
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C2×#95—21no—
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—41no—
547C2×#41—41no—
548C2×#41—41no—
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×#41C2×D414yes—
560C22×Q8C2411yescharacteristic
561C22×Q8C2411yescharacteristic
562C22×D4—21no—
563C22×D4—22no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—22no—
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—22no—
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—82no—
612C22×D4—82no—
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D414yes—
615C22×D4C2411yescharacteristic
616C22×D4C2411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633AGL(1,ℤ/8)—416no—
634AGL(1,ℤ/8)—416no—
635AGL(1,ℤ/8)—416no—
636#135—416no—
637C2×Q16—22no—
638C2×Q16—22no—
639C2×Q16—41no—
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—41no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16C2×D414yes—
663C2×SD16C2×D414yes—
664C2×D8—22no—
665C2×D8—22no—
666C2×D8—22no—
667C2×D8—22no—
668C2×D8—22no—
669C2×D8—22no—
670C2×D8—22no—
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
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—22no—
685C2×D8—22no—
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—416no—
698C2×D8—41no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8C2×D414yes—
712C2×D8C2×D414yes—
713C2×M16—22no—
714C2×M16—22no—
715C2×M16—22no—
716C2×M16—22no—
717C2×M16—22no—
718C2×M16C2×D414yes—
719C22×C8—22no—
720C22×C8—22no—
721C22×C8—22no—
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730#127—22no—
731#127—22no—
732#127—22no—
733#127—22no—
734#127—22no—
735#127—22no—
736#127—41no—
737#127—41no—
738#127—41no—
739#127—41no—
740#127—41no—
741#127—41no—
742#127—41no—
743#127—41no—
744#127—41no—
745#127—41no—
746#127—41no—
747#127—41no—
748#127—44no—
749#124—22no—
750#124—22no—
751#124—22no—
752#124—22no—
753#124—41no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124—41no—
758#124—41no—
759#123—82no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—44no—
769#121—44no—
770#121—41no—
771#121—41no—
772#121—44no—
773#121—44no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—41no—
783#121—82no—
784#121—82no—
785#121—82no—
786#121—82no—
787#121—82no—
788#121—82no—
789#121—82no—
790#121—82no—
791#121—82no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—44no—
797#120—44no—
798#120—82no—
799#120—82no—
800#120—82no—
801#120—82no—
802#120—82no—
803C4×Q8—22no—
804C4×Q8—41no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812C4×D4—41no—
813C4×D4—41no—
814C4×D4—41no—
815C4×D4—41no—
816C4×D4—41no—
817C4×D4—44no—
818#117—22no—
819#117—22no—
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⋊C4C2×D411yescharacteristic
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⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
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—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⋊C4—21no—
888C2×C22⋊C4—82no—
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×C42C2411yescharacteristic
901C2×C42C2411yescharacteristic
902C2×C42C2411yescharacteristic
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
905#107—22no—
906#106—22no—
907#106—22no—
908C4⋊C8—22no—
909C4⋊C8—22no—
910C4⋊C8—22no—
911#103—22no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#102—22no—
918#102—22no—
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—41no—
927#102—41no—
928#102—41no—
929#102—41no—
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—
940#102—41no—
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946#97—22no—
947#97—22no—
948#97—22no—
949C4×C8—22no—
950C4×C8—22no—
951C4×C8—22no—
952C4×C8—22no—
953#95—21no—
954#95—21no—
955#95—21no—
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#95C2×D411yescharacteristic
968#95C2×D411yescharacteristic
969#95C2×D411yescharacteristic
970#95C2×D411yescharacteristic
971#95C2×D411yescharacteristic
972#95C2×D411yescharacteristic
973#95C2×D411yescharacteristic
974#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977C24—21no—
978C24—21no—
979C24—21no—
980C24—24no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24—21no—
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—
1005C24—81no—
1006C24C22×D411yescharacteristic
1007C24C22×D411yescharacteristic
1008#41—44no—
1009#41—44no—
1010#41—44no—
1011#41—44no—
1012#41—44no—
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×Q8C22×D412yes—
1032C2×D4—22no—
1033C2×D4—24no—
1034C2×D4—24no—
1035C2×D4—22no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
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—44no—
1082C2×D4—44no—
1083C2×D4—41no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
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—44no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
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—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—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—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
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—82no—
1162C2×D4—82no—
1163C2×D4—82no—
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—81no—
1177C2×D4—81no—
1178C2×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—816no—
1186C2×D4C22×D412yes—
1187C2×D4C22×D412yes—
1188C2×D4C22×D412yes—
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—21no—
1200C22×C4—24no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—81no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4—81no—
1222C22×C4—81no—
1223C22×C4—81no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
1230C22×C4—81no—
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D411yescharacteristic
1241C22×C4C22×D412yes—
1242C22×C4C22×D411yescharacteristic
1243C22×C4C22×D411yescharacteristic
1244C22×C4H(5,𝔽2)12yes—
1245C22×C4C2511yescharacteristic
1246Q16—44no—
1247SD16—28no—
1248SD16—44no—
1249SD16—44no—
1250SD16—44no—
1251SD16—44no—
1252SD16—44no—
1253SD16—44no—
1254SD16—82no—
1255D8—28no—
1256D8—44no—
1257D8—44no—
1258D8—44no—
1259D8—44no—
1260D8—44no—
1261D8—44no—
1262D8—44no—
1263D8—44no—
1264D8—44no—
1265D8—44no—
1266D8—82no—
1267D8—82no—
1268D8—82no—
1269D8—82no—
1270D8—82no—
1271M16—28no—
1272M16—44no—
1273C2×C8—28no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8C22×D412yes—
1293C2×C8C22×D412yes—
1294C2×C8H(5,𝔽2)12yes—
1295C2×C8H(5,𝔽2)12yes—
1296C2×C8H(5,𝔽2)12yes—
1297C2×C8H(5,𝔽2)12yes—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—41no—
1317C4⋊C4—42no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4—81no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
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—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
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—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—21no—
1388C42—21no—
1389C42—21no—
1390C42—21no—
1391C42—21no—
1392C42—42no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
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—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—84no—
1463C23—84no—
1464C23—84no—
1465C23—84no—
1466C23—84no—
1467C23—84no—
1468C23—162no—
1469C23—162no—
1470C23—162no—
1471C23—162no—
1472C23—162no—
1473C23—162no—
1474C23—162no—
1475C23—162no—
1476C23—162no—
1477C23—162no—
1478C23—162no—
1479C23—162no—
1480C23—162no—
1481C23—162no—
1482C23—162no—
1483C23D4212yes—
1484C23C23×D411yescharacteristic
1485Q8—22no—
1486Q8—22no—
1487Q8—41no—
1488Q8—41no—
1489Q8—41no—
1490Q8—41no—
1491Q8—41no—
1492Q8—41no—
1493D4—22no—
1494D4—22no—
1495D4—22no—
1496D4—22no—
1497D4—22no—
1498D4—22no—
1499D4—44no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—41no—
1514D4—41no—
1515D4—41no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—162no—
1537D4—162no—
1538D4—162no—
1539D4—162no—
1540D4—162no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4—162no—
1552D4—162no—
1553D4—162no—
1554D4—162no—
1555D4—162no—
1556D4—162no—
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—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
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—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—162no—
1627C2×C4—162no—
1628C2×C4—162no—
1629C2×C4—162no—
1630C2×C4D4212yes—
1631C2×C4#57612yes—
1632C2×C4#57612yes—
1633C2×C4C23×D411yescharacteristic
1634C2×C4C2×H(5,𝔽2)11yescharacteristic
1635C2×C4C2×H(5,𝔽2)11yescharacteristic
1636C2×C4C2×H(5,𝔽2)11yescharacteristic
1637C2×C4C2×H(5,𝔽2)11yescharacteristic
1638C2×C4C2×H(5,𝔽2)11yescharacteristic
1639C8—22no—
1640C8—22no—
1641C8—22no—
1642C8—41no—
1643C8—41no—
1644C8—41no—
1645C8—41no—
1646C8#53414yes—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—42no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—41no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
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—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
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—168no—
1718C22—168no—
1719C22—168no—
1720C22C2×D4211yescharacteristic
1721C22#349811yescharacteristic
1722C22#349811yescharacteristic
1723C22C2×#57611yescharacteristic
1724C22C2×#57611yescharacteristic
1725C22#358511yescharacteristic
1726C22#358511yescharacteristic
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—81no—
1741C4—81no—
1742C4—81no—
1743C4—81no—
1744C4—81no—
1745C4—81no—
1746C4—81no—
1747C4C2×#53411yescharacteristic
1748C4#348411yescharacteristic
1749C4#354311yescharacteristic
1750C4#354311yescharacteristic
1751C2—42no—
1752C2—81no—
1753C2—82no—
1754C2—82no—
1755C2—82no—
1756C2—161no—
1757C2—161no—
1758C2—161no—
1759C2—161no—
1760C2—161no—
1761C2#3933611yescharacteristic
1762C2#6107211yescharacteristic
1763C2#6109311yescharacteristic
1764C2#6243111yescharacteristic
1765C2#6244311yescharacteristic
1766C2#6246311yescharacteristic
1767C2#6246311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ 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×#3155C2semidirect
3. #42969C2semidirect
4. #42422C2semidirect
5. #33140C2semidirect
6. #30752C2semidirect
7. #30749C2semidirect
8. #30740C2semidirect
9. #30733C2semidirect
10. #30468C2semidirect
11. #30462C2semidirect
12. #30446C2semidirect
13. #30444C2semidirect
14. #29630C2semidirect
15. #29630C2semidirect
16. #28475C2semidirect
17. #28458C2semidirect
18. #26257C2semidirect
19. #26251C2semidirect
20. #25794C2semidirect
21. #25794C2semidirect
22. #25793C2semidirect
23. #25426C2semidirect
24. #25419C2semidirect
25. #24364C2semidirect
26. #24354C2semidirect
27. #24277C2semidirect
28. #23857C2semidirect
29. #23848C2semidirect
30. #22442C2semidirect
31. #21571C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×#135C22semidirect
40. C2×#535C22semidirect
45. C2×#496C22semidirect
46. C2×#496C22semidirect
47. C2×#496C22semidirect
49. C2×#495C22semidirect
51. C2×#493C22semidirect
52. C2×#493C22semidirect
53. C2×#493C22semidirect
55. C2×#469C22semidirect
56. C2×#469C22semidirect
57. C2×#468C22semidirect
58. C2×#460C22semidirect
59. C2×#463C22semidirect
60. C2×#459C22semidirect
61. C2×#459C22semidirect
62. C2×#459C22semidirect
63. C2×#459C22semidirect
64. C2×#452C22semidirect
66. C2×#449C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
73. C2×#447C22semidirect
74. C2×#442C22semidirect
75. C2×C4×SD16C22semidirect
76. C2×C4×D8C22semidirect
78. C2×#405C22semidirect
92. #2624C22semidirect
95. #2544C22semidirect
97. #2541C22semidirect
98. #2541C22semidirect
99. #2541C22semidirect
100. #2448C22semidirect
101. #2448C22semidirect
102. #2447C22semidirect
103. #2445C22semidirect
104. #2435C22semidirect
105. #2433C22semidirect
106. #2433C22semidirect
108. #2431C22semidirect
109. #2431C22semidirect
110. #2428C22semidirect
111. #2428C22semidirect
112. #2428C22semidirect
113. #2427C22semidirect
118. #2339C22semidirect
120. #2056C22semidirect
121. #2055C22semidirect
122. #2055C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2042C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2015C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2012C22semidirect
139. #2012C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1970C22semidirect
164. #1970C22semidirect
165. #1968C22semidirect
166. #1968C22semidirect
167. #1968C22semidirect
168. #1943C22semidirect
169. #1941C22semidirect
170. #1936C22semidirect
171. #1936C22semidirect
172. #1934C22semidirect
173. #1934C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1917C22semidirect
177. #1916C22semidirect
179. #1893C22semidirect
180. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1878C22semidirect
189. #1877C22semidirect
190. #1877C22semidirect
191. #1877C22semidirect
193. #1850C22semidirect
194. #1818C22semidirect
195. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
199. #1786C22semidirect
200. #1771C22semidirect
201. C8×C4⋊C4C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1753C22semidirect
220. C2×AGL(1,ℤ/8)D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#31552
#429692
#424222
#331402
#307522
#307492
#307402
#307332
#304682
#304622
#304462
#304442
#296302
#284752
#284582
#262572
#262512
#257942
#257932
#254262
#254192
#243642
#243542
#242772
#238572
#238482
#224422
#215712