Finite Group Databasebeta

← #7563191

Subgroups — #7563191

Order 512.

3358 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4C2×#3151C211yesmaximal, characteristic, complemented
5#59129C211yesmaximal, characteristic, complemented
6#59126C211yesmaximal, characteristic, complemented
7#30456C211yesmaximal, characteristic, complemented
8#30454C211yesmaximal, characteristic, complemented
9#30444C211yesmaximal, characteristic, complemented
10#30444C211yesmaximal, characteristic, complemented
11#28493C211yesmaximal, characteristic, complemented
12#28475C211yesmaximal, characteristic, complemented
13#25791C211yesmaximal, characteristic, complemented
14#25779C211yesmaximal, characteristic, complemented
15#25770C211yesmaximal, characteristic, complemented
16#25763C211yesmaximal, characteristic, complemented
17#25426C211yesmaximal, characteristic, complemented
18#25410C211yesmaximal, characteristic, complemented
19#25380C211yesmaximal, characteristic, complemented
20#25376C211yesmaximal, characteristic, complemented
21#24277C211yesmaximal, characteristic, complemented
22#24275C211yesmaximal, characteristic, complemented
23#24214C211yesmaximal, characteristic, complemented
24#24208C211yesmaximal, characteristic, complemented
25#23869C211yesmaximal, characteristic, complemented
26#23861C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23193C211yesmaximal, characteristic, complemented
30#21538C211yesmaximal, characteristic, complemented
31#21490C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic, complemented
41C2×D42—21no—
42C2×D42C2211yescharacteristic
43C2×D42C2211yescharacteristic
44C2×D42C2211yescharacteristic, complemented
45C2×#532C2211yescharacteristic, complemented
46C22×#127C2211yescharacteristic, complemented
47#3274—28no—
48#3264—28no—
49#3264—28no—
50#3151—28no—
51C2×#496C2211yescharacteristic
52C2×#496C2211yescharacteristic, complemented
53C2×#496C2211yescharacteristic, complemented
54C2×#496C2211yescharacteristic, complemented
55C2×#496C2211yescharacteristic, complemented
56C2×#493C2211yescharacteristic, complemented
57C2×#493C2211yescharacteristic, complemented
58C2×#493C2211yescharacteristic, complemented
59C2×#492C2211yescharacteristic, complemented
60C2×#492C2211yescharacteristic, complemented
61C2×#469C2211yescharacteristic
62C2×#469C2211yescharacteristic, complemented
63C2×#469C2211yescharacteristic, complemented
64C2×#468C2211yescharacteristic, complemented
65C2×#466C2211yescharacteristic, complemented
66C2×#465C2211yescharacteristic, complemented
67C2×#465C2211yescharacteristic, complemented
68C2×#460C2211yescharacteristic, complemented
69C2×#463C2211yescharacteristic, complemented
70C2×#463C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic, complemented
72C2×#459C2211yescharacteristic
73C2×#459C2211yescharacteristic, complemented
74C2×#459C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#449C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic, complemented
81C2×#450C2211yescharacteristic, complemented
82C2×#450C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×#447C2211yescharacteristic, complemented
87C2×#447C2211yescharacteristic, complemented
88C2×#447C2211yescharacteristic, complemented
89C2×#447C2211yescharacteristic, complemented
90C2×#447C2211yescharacteristic, complemented
91C2×#447C2211yescharacteristic, complemented
92C2×#442C2211yescharacteristic, complemented
93C2×#442C2211yescharacteristic, complemented
94C2×C4×SD16C2211yescharacteristic, complemented
95C2×#436C2211yescharacteristic, complemented
96C2×#435C2211yescharacteristic, complemented
97C2×#435C2211yescharacteristic, complemented
98C2×C4×M16C2211yescharacteristic, complemented
99#2671—21no—
100#2669—21no—
101#2669—21no—
102#2669—21no—
103#2544C2211yescharacteristic, complemented
104#2541C2211yescharacteristic
105#2541C2211yescharacteristic, complemented
106#2540C2211yescharacteristic, complemented
107#2464—21no—
108#2455—21no—
109#2433—21no—
110#2433C2211yescharacteristic
111#2433C2211yescharacteristic, complemented
112#2433C2211yescharacteristic, complemented
113#2432C2211yescharacteristic, complemented
114#2429C2211yescharacteristic, complemented
115#2428—21no—
116#2428—21no—
117#2428C2211yescharacteristic
118#2428C2211yescharacteristic, complemented
119#2428C2211yescharacteristic, complemented
120#2424—21no—
121#2424—21no—
122#2408—21no—
123#2408C2211yescharacteristic
124#2408C2211yescharacteristic, complemented
125#2407C2211yescharacteristic, complemented
126#2407C2211yescharacteristic, complemented
127#2403—21no—
128#2403—21no—
129#2367C2211yescharacteristic, complemented
130#2366C2211yescharacteristic, complemented
131#2358—21no—
132C4×#121C2211yescharacteristic
133C4×#121C2211yescharacteristic, complemented
134C4×#121C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2054C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2041C2211yescharacteristic, complemented
142#2041C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2013C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2011C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1999C2211yescharacteristic, complemented
166#1999C2211yescharacteristic, complemented
167#1983C2211yescharacteristic, complemented
168#1983C2211yescharacteristic, complemented
169#1982C2211yescharacteristic, complemented
170#1982C2211yescharacteristic, complemented
171#1973C2211yescharacteristic, complemented
172#1972C2211yescharacteristic, complemented
173#1970C2211yescharacteristic, complemented
174#1970C2211yescharacteristic, complemented
175#1968C2211yescharacteristic, complemented
176#1955C2211yescharacteristic, complemented
177#1941C2211yescharacteristic, complemented
178#1940C2211yescharacteristic, complemented
179#1934C2211yescharacteristic, complemented
180#1934C2211yescharacteristic, complemented
181#1923C2211yescharacteristic, complemented
182#1923C2211yescharacteristic, complemented
183#1895C2211yescharacteristic, complemented
184#1895C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1880C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1879C2211yescharacteristic, complemented
189#1879C2211yescharacteristic, complemented
190#1879C2211yescharacteristic, complemented
191#1877C2211yescharacteristic, complemented
192#1877C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1870C2211yescharacteristic, complemented
195#1809C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—21no—
213C23×D4—21no—
214C23×D4—21no—
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C23×D4C2311yescharacteristic
218C23×D4C2311yescharacteristic
219C23×D4C2311yescharacteristic
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—24no—
222C2×AGL(1,ℤ/8)—24no—
223C2×AGL(1,ℤ/8)—24no—
224C2×AGL(1,ℤ/8)—24no—
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—24no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C2×AGL(1,ℤ/8)—42no—
232C2×AGL(1,ℤ/8)—42no—
233C2×AGL(1,ℤ/8)—42no—
234C2×AGL(1,ℤ/8)—42no—
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×D8—24no—
246C22×D8—24no—
247C22×D8—42no—
248C22×D8C2311yescharacteristic
249C22×D8C2311yescharacteristic
250C22×D8C2311yescharacteristic
251C22×D8C2311yescharacteristic
252C22×D8C2311yescharacteristic
253C22×D8C2311yescharacteristic
254C22×D8C2311yescharacteristic
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C23×C8C2311yescharacteristic
267#550—24no—
268#550—42no—
269#546—24no—
270#546—24no—
271#546—42no—
272#546—42no—
273D42—24no—
274D42—24no—
275D42—24no—
276D42—42no—
277D42—42no—
278D42—42no—
279D42—48no—
280#532—24no—
281#532—42no—
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127—24no—
284C2×#127—21no—
285C2×#127—21no—
286C2×#127—21no—
287C2×#127—21no—
288C2×#127—42no—
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294C2×#127C2311yescharacteristic
295C2×#127C2311yescharacteristic
296C2×#127C2311yescharacteristic
297C2×#124C2311yescharacteristic
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#123—21no—
301C2×#123—21no—
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121D411yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C2×#121C2311yescharacteristic
326C2×#121C2311yescharacteristic
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×#120—21no—
338C2×#120—21no—
339C2×#120—21no—
340C2×#120—21no—
341C2×#120—21no—
342C2×#120—21no—
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4—21no—
349C2×C4×D4—21no—
350C2×C4×D4—21no—
351C2×C4×D4—21no—
352C2×C4×D4—21no—
353C2×C4×D4—21no—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C22×C22⋊C4—21no—
363C22×C22⋊C4—21no—
364C22×C42C2311yescharacteristic
365#496—24no—
366#496—24no—
367#496—24no—
368#496—24no—
369#496D418yescomplemented
370#493—24no—
371#493—24no—
372#493—24no—
373#492—24no—
374#492—24no—
375#469—24no—
376#469—24no—
377#469D418yescomplemented
378#468—42no—
379#466—42no—
380#465—24no—
381#465—24no—
382#463—24no—
383#463—24no—
384#463—42no—
385#460—24no—
386#459—24no—
387#459—24no—
388#459—24no—
389#459—42no—
390#450—24no—
391#450—24no—
392#450—42no—
393#449—24no—
394#449—24no—
395#449—24no—
396#449—24no—
397#449—42no—
398#447—24no—
399#447—24no—
400#447—24no—
401#447—24no—
402#447—24no—
403#447—24no—
404#447—42no—
405#447—42no—
406#442—24no—
407#442—24no—
408C4×SD16—24no—
409#436—24no—
410#435—24no—
411#435—24no—
412C2×#107C2311yescharacteristic
413C2×#106C2311yescharacteristic
414C2×#106C2311yescharacteristic
415C2×C4⋊C8C2311yescharacteristic
416C2×C4⋊C8C2311yescharacteristic
417C2×C4⋊C8C2311yescharacteristic
418C2×C4⋊C8C2311yescharacteristic
419C2×#103C2311yescharacteristic
420C2×#103C2311yescharacteristic
421C2×#103C2311yescharacteristic
422C2×#103C2311yescharacteristic
423C2×#103C2311yescharacteristic
424C2×#103C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437C2×#102C2311yescharacteristic
438C2×#102C2311yescharacteristic
439C2×#102C2311yescharacteristic
440C2×#102C2311yescharacteristic
441C2×#102C2311yescharacteristic
442C2×#102C2311yescharacteristic
443C2×#102C2311yescharacteristic
444C2×#102C2311yescharacteristic
445C2×#102C2311yescharacteristic
446C2×#102C2311yescharacteristic
447C2×#102C2311yescharacteristic
448C2×#102C2311yescharacteristic
449C2×C22⋊C8C2311yescharacteristic
450C2×C22⋊C8C2311yescharacteristic
451C2×C22⋊C8C2311yescharacteristic
452C2×C22⋊C8C2311yescharacteristic
453C2×C22⋊C8C2311yescharacteristic
454C2×C22⋊C8C2311yescharacteristic
455C2×C22⋊C8C2311yescharacteristic
456C2×C22⋊C8C2311yescharacteristic
457C4×M16—24no—
458C2×#97C2311yescharacteristic
459C2×#97C2311yescharacteristic
460C2×#97C2311yescharacteristic
461C2×C4×C8C2311yescharacteristic
462C2×C4×C8C2311yescharacteristic
463C2×C4×C8C2311yescharacteristic
464#399—21no—
465#398—21no—
466#396—21no—
467#394—21no—
468#394—21no—
469#394—21no—
470#394—21no—
471#394—21no—
472#394—21no—
473#394—21no—
474#394—21no—
475#394—21no—
476#394—21no—
477#394—21no—
478#392—21no—
479#392—21no—
480#392—21no—
481#392—21no—
482#392—21no—
483#392—21no—
484#392—21no—
485#392—21no—
486#392—21no—
487#392—21no—
488#392—21no—
489#392—21no—
490#392—21no—
491#392—21no—
492#392—21no—
493#392—21no—
494#392—21no—
495#392—21no—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#390—21no—
499#390—21no—
500#390—21no—
501#390—21no—
502#390D411yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#389—21no—
512#389D411yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#388—21no—
516#388—21no—
517#388—21no—
518#388—21no—
519#388—21no—
520#388D411yescharacteristic
521#388D411yescharacteristic
522#386—21no—
523#386—21no—
524#386—21no—
525#386—21no—
526#386—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#386D411yescharacteristic
534#386D411yescharacteristic
535#385—21no—
536#385—21no—
537#385—21no—
538#385—21no—
539#385—21no—
540#380D411yescharacteristic
541#380C2311yescharacteristic
542#380C2311yescharacteristic
543#379—21no—
544#379—21no—
545C4×C4⋊C4C2311yescharacteristic
546C4×C4⋊C4C2311yescharacteristic
547C4×C4⋊C4C2311yescharacteristic
548C4×C22⋊C4—21no—
549C4×C22⋊C4—21no—
550C4×C22⋊C4—21no—
551C4×C22⋊C4C2311yescharacteristic
552C4×C22⋊C4C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564#336C2311yescharacteristic
565C25—21no—
566C25—21no—
567C25—21no—
568C25—21no—
569C25—21no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—41no—
579C2×#41—41no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C22×Q8C2411yescharacteristic
589C22×Q8C2411yescharacteristic
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—22no—
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—22no—
615C22×D4—22no—
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—21no—
628C22×D4—21no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—22no—
636C22×D4—22no—
637C22×D4—41no—
638C22×D4—41no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4—41no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—41no—
645C22×D4—41no—
646C22×D4—41no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—44no—
656C22×D4—44no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—44no—
661C22×D4—44no—
662C22×D4—44no—
663C22×D4—44no—
664C22×D4—82no—
665C22×D4—82no—
666C22×D4—82no—
667C22×D4—82no—
668C22×D4—82no—
669C22×D4—82no—
670C22×D4C2×D411yescharacteristic
671C22×D4C2×D411yescharacteristic
672C22×D4C2×D411yescharacteristic
673C22×D4C2411yescharacteristic
674C22×D4C2411yescharacteristic
675C22×D4C2411yescharacteristic
676C22×D4C2411yescharacteristic
677C22×D4C2411yescharacteristic
678C22×D4C2411yescharacteristic
679C22×D4C2411yescharacteristic
680C22×D4C2411yescharacteristic
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4—21no—
688C23×C4—21no—
689C23×C4C2×D411yescharacteristic
690C23×C4C2×D411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694AGL(1,ℤ/8)—416no—
695AGL(1,ℤ/8)—416no—
696AGL(1,ℤ/8)—416no—
697AGL(1,ℤ/8)—416no—
698AGL(1,ℤ/8)—416no—
699C2×SD16—22no—
700C2×SD16—22no—
701C2×SD16—22no—
702C2×SD16—22no—
703C2×SD16—22no—
704C2×SD16—22no—
705C2×SD16—22no—
706C2×SD16—22no—
707C2×SD16—22no—
708C2×SD16—22no—
709C2×SD16—22no—
710C2×SD16—22no—
711C2×SD16—22no—
712C2×SD16—22no—
713C2×SD16—22no—
714C2×SD16—22no—
715C2×SD16—22no—
716C2×SD16—41no—
717C2×SD16—41no—
718C2×SD16—41no—
719C2×SD16—41no—
720C2×SD16—41no—
721C2×SD16—41no—
722C2×SD16—41no—
723C2×SD16—41no—
724C2×SD16—41no—
725C2×SD16—41no—
726C2×SD16—41no—
727C2×SD16C2×D414yescomplemented
728C2×SD16C2×D414yescomplemented
729C2×D8—22no—
730C2×D8—22no—
731C2×D8—22no—
732C2×D8—22no—
733C2×D8—22no—
734C2×D8—22no—
735C2×D8—22no—
736C2×D8—22no—
737C2×D8—22no—
738C2×D8—22no—
739C2×D8—22no—
740C2×D8—22no—
741C2×D8—22no—
742C2×D8—22no—
743C2×D8—22no—
744C2×D8—22no—
745C2×D8—22no—
746C2×D8—22no—
747C2×D8—22no—
748C2×D8—22no—
749C2×D8—22no—
750C2×D8—22no—
751C2×D8—22no—
752C2×D8—22no—
753C2×D8—22no—
754C2×D8—41no—
755C2×D8—41no—
756C2×D8—41no—
757C2×D8—41no—
758C2×D8—41no—
759C2×D8—41no—
760C2×D8—41no—
761C2×D8—41no—
762C2×D8—41no—
763C2×D8—41no—
764C2×D8—41no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—416no—
772C2×D8C2×D414yescomplemented
773C2×D8C2×D414yescomplemented
774C2×D8C2×D414yescomplemented
775C2×M16—22no—
776C2×M16—22no—
777C2×M16—22no—
778C2×M16—22no—
779C2×M16—22no—
780C2×M16—22no—
781C2×M16—22no—
782C2×M16—22no—
783C2×M16C2×D414yescomplemented
784C22×C8—22no—
785C22×C8—22no—
786C22×C8—22no—
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C22×C8C2411yescharacteristic
790C22×C8C2411yescharacteristic
791C22×C8C2411yescharacteristic
792C22×C8C2411yescharacteristic
793C22×C8C2411yescharacteristic
794C22×C8C2411yescharacteristic
795C4⋊Q8—22no—
796C4⋊Q8—41no—
797#127—22no—
798#127—22no—
799#127—22no—
800#127—22no—
801#127—22no—
802#127—22no—
803#127—22no—
804#127—22no—
805#127—22no—
806#127—41no—
807#127—41no—
808#127—41no—
809#127—41no—
810#127—41no—
811#127—41no—
812#127—44no—
813#127—44no—
814#127—44no—
815#127—44no—
816#127C2×D414yes—
817#124—22no—
818#124—22no—
819#124—22no—
820#124—22no—
821#124—41no—
822#124C2×D414yescomplemented
823#123—44no—
824#123—44no—
825C22⋊Q8—22no—
826C22⋊Q8—22no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8—41no—
831#121—22no—
832#121—22no—
833#121—24no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—44no—
841#121—44no—
842#121—44no—
843#121—44no—
844#121—44no—
845#121—44no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—41no—
854#121—41no—
855#121—44no—
856#121—44no—
857#121—44no—
858#121—41no—
859#121—41no—
860#121—41no—
861#121—41no—
862#121—41no—
863#121—41no—
864#121—82no—
865#121—82no—
866#121C2×D414yes—
867#121C2×D414yescomplemented
868#120—44no—
869#120—44no—
870#120—44no—
871#120—44no—
872#120—44no—
873#120—44no—
874#120—44no—
875#120—44no—
876#120—44no—
877#120—44no—
878#120—44no—
879#120—44no—
880#120—44no—
881#120—82no—
882#120—82no—
883#120—82no—
884C4×Q8—22no—
885C4×Q8—41no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—22no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—22no—
892C4×D4—22no—
893C4×D4—22no—
894C4×D4—22no—
895C4×D4—22no—
896C4×D4—22no—
897C4×D4—22no—
898C4×D4—22no—
899C4×D4—44no—
900C4×D4—44no—
901C4×D4—41no—
902C4×D4—41no—
903C4×D4—41no—
904C4×D4—44no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—82no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4C2×D411yescharacteristic
917C2×C4⋊C4C2×D411yescharacteristic
918C2×C4⋊C4C2×D411yescharacteristic
919C2×C4⋊C4C2×D411yescharacteristic
920C2×C4⋊C4C2×D411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C22⋊C4—21no—
928C2×C22⋊C4—21no—
929C2×C22⋊C4—21no—
930C2×C22⋊C4—21no—
931C2×C22⋊C4—21no—
932C2×C22⋊C4—21no—
933C2×C22⋊C4—21no—
934C2×C22⋊C4—21no—
935C2×C22⋊C4—21no—
936C2×C22⋊C4—21no—
937C2×C22⋊C4—21no—
938C2×C22⋊C4—21no—
939C2×C22⋊C4—21no—
940C2×C22⋊C4—21no—
941C2×C22⋊C4—21no—
942C2×C22⋊C4—21no—
943C2×C22⋊C4—21no—
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—44no—
971C2×C22⋊C4—44no—
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C22⋊C4C2×D411yescharacteristic
975C2×C22⋊C4C2×D411yescharacteristic
976C2×C22⋊C4C2×D411yescharacteristic
977C2×C22⋊C4C2×D411yescharacteristic
978C2×C22⋊C4C2×D411yescharacteristic
979C2×C22⋊C4C2×D411yescharacteristic
980C2×C22⋊C4C2×D411yescharacteristic
981C2×C22⋊C4C2×D411yescharacteristic
982C2×C42—22no—
983C2×C42—22no—
984C2×C42—21no—
985C2×C42—21no—
986C2×C42—21no—
987C2×C42C2×D411yescharacteristic
988C2×C42C2×D411yescharacteristic
989C2×C42C2411yescharacteristic
990C2×C42C2411yescharacteristic
991C2×C42C2411yescharacteristic
992C2×C42C2411yescharacteristic
993#107—22no—
994#106—22no—
995#106C2×D414yescomplemented
996C4⋊C8—22no—
997C4⋊C8—22no—
998C4⋊C8—22no—
999C4⋊C8—22no—
1000#103—22no—
1001#103—22no—
1002#103—22no—
1003#103—41no—
1004#103—41no—
1005#103—41no—
1006#102—22no—
1007#102—22no—
1008#102—22no—
1009#102—22no—
1010#102—22no—
1011#102—22no—
1012#102—22no—
1013#102—22no—
1014#102—22no—
1015#102—22no—
1016#102—22no—
1017#102—22no—
1018#102—22no—
1019#102—41no—
1020#102—41no—
1021#102—41no—
1022#102—41no—
1023#102—41no—
1024#102—41no—
1025#102—41no—
1026#102—41no—
1027#102—41no—
1028#102C2×D414yescomplemented
1029#102C2×D414yescomplemented
1030C22⋊C8—22no—
1031C22⋊C8—22no—
1032C22⋊C8—22no—
1033C22⋊C8—22no—
1034C22⋊C8—22no—
1035C22⋊C8—22no—
1036C22⋊C8—22no—
1037C22⋊C8—22no—
1038#97—22no—
1039#97—22no—
1040#97C2×D414yescomplemented
1041C4×C8—22no—
1042C4×C8—22no—
1043C4×C8—22no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
1051#95—21no—
1052#95—21no—
1053#95—21no—
1054#95C2×D411yescharacteristic
1055#95C2×D411yescharacteristic
1056#95C2×D411yescharacteristic
1057#95C2×D411yescharacteristic
1058#95C2×D411yescharacteristic
1059#95C2×D411yescharacteristic
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
1066C24—21no—
1067C24—21no—
1068C24—42no—
1069C24—42no—
1070C24—42no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24—42no—
1078C24—42no—
1079C24—42no—
1080C24—42no—
1081C24—42no—
1082C24—42no—
1083C24—42no—
1084C24—42no—
1085C24—81no—
1086C24—81no—
1087C24—81no—
1088C24—81no—
1089C24—81no—
1090C24—81no—
1091C24—81no—
1092C24—81no—
1093C24—81no—
1094C24—81no—
1095C24—81no—
1096C24—81no—
1097C24—81no—
1098C24—81no—
1099C24—81no—
1100C24—81no—
1101C24—81no—
1102C24—81no—
1103C24C22×D411yescharacteristic
1104C24C22×D411yescharacteristic
1105C24C22×D411yescharacteristic
1106#41—44no—
1107#41—44no—
1108#41—44no—
1109#41—44no—
1110#41—44no—
1111#41—82no—
1112#41—82no—
1113#41—82no—
1114#41—82no—
1115#41—82no—
1116#41—82no—
1117#41—82no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—21no—
1123C2×Q8—21no—
1124C2×Q8—21no—
1125C2×Q8—21no—
1126C2×Q8—21no—
1127C2×Q8—21no—
1128C2×Q8—21no—
1129C2×Q8C22×D412yes—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—24no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—24no—
1136C2×D4—22no—
1137C2×D4—24no—
1138C2×D4—24no—
1139C2×D4—22no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—21no—
1144C2×D4—21no—
1145C2×D4—21no—
1146C2×D4—21no—
1147C2×D4—21no—
1148C2×D4—21no—
1149C2×D4—21no—
1150C2×D4—21no—
1151C2×D4—21no—
1152C2×D4—21no—
1153C2×D4—21no—
1154C2×D4—21no—
1155C2×D4—21no—
1156C2×D4—21no—
1157C2×D4—21no—
1158C2×D4—21no—
1159C2×D4—21no—
1160C2×D4—21no—
1161C2×D4—21no—
1162C2×D4—21no—
1163C2×D4—21no—
1164C2×D4—21no—
1165C2×D4—21no—
1166C2×D4—21no—
1167C2×D4—21no—
1168C2×D4—21no—
1169C2×D4—21no—
1170C2×D4—21no—
1171C2×D4—21no—
1172C2×D4—21no—
1173C2×D4—21no—
1174C2×D4—21no—
1175C2×D4—21no—
1176C2×D4—21no—
1177C2×D4—21no—
1178C2×D4—21no—
1179C2×D4—21no—
1180C2×D4—21no—
1181C2×D4—21no—
1182C2×D4—21no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—82no—
1252C2×D4—82no—
1253C2×D4—82no—
1254C2×D4—82no—
1255C2×D4—81no—
1256C2×D4—81no—
1257C2×D4—81no—
1258C2×D4—81no—
1259C2×D4—81no—
1260C2×D4—81no—
1261C2×D4—81no—
1262C2×D4—81no—
1263C2×D4—81no—
1264C2×D4—81no—
1265C2×D4—81no—
1266C2×D4—81no—
1267C2×D4—81no—
1268C2×D4—81no—
1269C2×D4—81no—
1270C2×D4—81no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—82no—
1280C2×D4—82no—
1281C2×D4—82no—
1282C2×D4—82no—
1283C2×D4—82no—
1284C2×D4—82no—
1285C2×D4—82no—
1286C2×D4—82no—
1287C2×D4—82no—
1288C2×D4—816no—
1289C2×D4—81no—
1290C2×D4—81no—
1291C2×D4—81no—
1292C2×D4—81no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—81no—
1296C2×D4—81no—
1297C2×D4—81no—
1298C2×D4—816no—
1299C2×D4—81no—
1300C2×D4—81no—
1301C2×D4—81no—
1302C2×D4—81no—
1303C2×D4—81no—
1304C2×D4—81no—
1305C2×D4—81no—
1306C2×D4—81no—
1307C2×D4—81no—
1308C2×D4—81no—
1309C2×D4—816no—
1310C2×D4—816no—
1311C2×D4—816no—
1312C2×D4C22×D412yes—
1313C2×D4C22×D412yes—
1314C2×D4C22×D412yes—
1315C2×D4C22×D412yes—
1316C2×D4C22×D412yes—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—21no—
1335C22×C4—21no—
1336C22×C4—21no—
1337C22×C4—21no—
1338C22×C4—21no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
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×C4C22×D411yescharacteristic
1372C22×C4C22×D411yescharacteristic
1373C22×C4C22×D411yescharacteristic
1374C22×C4C22×D411yescharacteristic
1375C22×C4C22×D411yescharacteristic
1376C22×C4C22×D411yescharacteristic
1377C22×C4C22×D411yescharacteristic
1378C22×C4C22×D411yescharacteristic
1379C22×C4C22×D412yes—
1380C22×C4C22×D411yescharacteristic
1381C22×C4C22×D411yescharacteristic
1382C22×C4C22×D411yescharacteristic
1383C22×C4H(5,𝔽2)12yes—
1384C22×C4C2511yescharacteristic
1385SD16—28no—
1386SD16—44no—
1387SD16—44no—
1388SD16—44no—
1389SD16—44no—
1390SD16—44no—
1391SD16—44no—
1392SD16—44no—
1393SD16—44no—
1394SD16—82no—
1395D8—28no—
1396D8—28no—
1397D8—44no—
1398D8—44no—
1399D8—44no—
1400D8—44no—
1401D8—44no—
1402D8—44no—
1403D8—44no—
1404D8—44no—
1405D8—44no—
1406D8—44no—
1407D8—82no—
1408D8—82no—
1409D8—82no—
1410M16—28no—
1411M16—28no—
1412M16—44no—
1413C2×C8—21no—
1414C2×C8—21no—
1415C2×C8—21no—
1416C2×C8—21no—
1417C2×C8—21no—
1418C2×C8—21no—
1419C2×C8—21no—
1420C2×C8—21no—
1421C2×C8—21no—
1422C2×C8—21no—
1423C2×C8—21no—
1424C2×C8—21no—
1425C2×C8—21no—
1426C2×C8—21no—
1427C2×C8—21no—
1428C2×C8—21no—
1429C2×C8—21no—
1430C2×C8—21no—
1431C2×C8—44no—
1432C2×C8C22×D412yes—
1433C2×C8C22×D412yes—
1434C2×C8C22×D412yes—
1435C2×C8C22×D412yes—
1436C2×C8H(5,𝔽2)12yes—
1437C2×C8H(5,𝔽2)12yes—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—41no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—81no—
1461C4⋊C4C22×D412yes—
1462C4⋊C4C22×D412yes—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—42no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—81no—
1504C22⋊C4—81no—
1505C22⋊C4—81no—
1506C22⋊C4—81no—
1507C22⋊C4—81no—
1508C22⋊C4—81no—
1509C22⋊C4—81no—
1510C22⋊C4—81no—
1511C22⋊C4—81no—
1512C22⋊C4—81no—
1513C22⋊C4—81no—
1514C22⋊C4—81no—
1515C22⋊C4AGL(1,ℤ/8)14yescomplemented
1516C42—22no—
1517C42—22no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—42no—
1525C42—42no—
1526C42—81no—
1527C42C22×D412yes—
1528C42H(5,𝔽2)12yes—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—41no—
1554C23—41no—
1555C23—41no—
1556C23—41no—
1557C23—41no—
1558C23—41no—
1559C23—41no—
1560C23—41no—
1561C23—41no—
1562C23—41no—
1563C23—41no—
1564C23—41no—
1565C23—41no—
1566C23—41no—
1567C23—41no—
1568C23—41no—
1569C23—41no—
1570C23—41no—
1571C23—41no—
1572C23—41no—
1573C23—41no—
1574C23—41no—
1575C23—41no—
1576C23—41no—
1577C23—41no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—41no—
1604C23—84no—
1605C23—84no—
1606C23—84no—
1607C23—84no—
1608C23—84no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—84no—
1621C23—162no—
1622C23—162no—
1623C23—162no—
1624C23—162no—
1625C23—162no—
1626C23—162no—
1627C23—162no—
1628C23—162no—
1629C23—162no—
1630C23—162no—
1631C23—162no—
1632C23—162no—
1633C23—162no—
1634C23—162no—
1635C23—162no—
1636C23—162no—
1637C23—162no—
1638C23—162no—
1639C23D4212yes—
1640C23C2×AGL(1,ℤ/8)12yes—
1641C23C23×D411yescharacteristic
1642Q8—22no—
1643Q8—22no—
1644Q8—41no—
1645Q8—41no—
1646Q8—41no—
1647Q8—41no—
1648Q8—41no—
1649Q8—41no—
1650D4—22no—
1651D4—22no—
1652D4—22no—
1653D4—22no—
1654D4—22no—
1655D4—22no—
1656D4—22no—
1657D4—22no—
1658D4—22no—
1659D4—22no—
1660D4—44no—
1661D4—44no—
1662D4—48no—
1663D4—44no—
1664D4—48no—
1665D4—41no—
1666D4—41no—
1667D4—41no—
1668D4—41no—
1669D4—41no—
1670D4—41no—
1671D4—41no—
1672D4—41no—
1673D4—41no—
1674D4—41no—
1675D4—41no—
1676D4—41no—
1677D4—41no—
1678D4—41no—
1679D4—41no—
1680D4—41no—
1681D4—41no—
1682D4—41no—
1683D4—41no—
1684D4—41no—
1685D4—41no—
1686D4—41no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—84no—
1692D4—84no—
1693D4—84no—
1694D4—84no—
1695D4—84no—
1696D4—84no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—84no—
1708D4—84no—
1709D4—84no—
1710D4—84no—
1711D4—84no—
1712D4—162no—
1713D4—162no—
1714D4—162no—
1715D4—162no—
1716D4—162no—
1717D4—162no—
1718D4—162no—
1719D4—162no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—41no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—41no—
1785C2×C4—84no—
1786C2×C4—84no—
1787C2×C4—84no—
1788C2×C4—84no—
1789C2×C4—84no—
1790C2×C4—84no—
1791C2×C4—162no—
1792C2×C4—162no—
1793C2×C4D4212yes—
1794C2×C4D4212yes—
1795C2×C4D4212yes—
1796C2×C4C2×AGL(1,ℤ/8)12yes—
1797C2×C4C2×AGL(1,ℤ/8)12yes—
1798C2×C4#57612yes—
1799C2×C4C23×D411yescharacteristic
1800C2×C4C23×D411yescharacteristic
1801C2×C4C2×H(5,𝔽2)11yescharacteristic
1802C2×C4C2×H(5,𝔽2)11yescharacteristic
1803C2×C4C2×H(5,𝔽2)11yescharacteristic
1804C2×C4C2×H(5,𝔽2)11yescharacteristic
1805C8—22no—
1806C8—22no—
1807C8—22no—
1808C8—41no—
1809C8—41no—
1810C8—41no—
1811C8—41no—
1812C8D4214yescomplemented
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—41no—
1838C22—42no—
1839C22—41no—
1840C22—42no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—81no—
1857C22—81no—
1858C22—81no—
1859C22—81no—
1860C22—81no—
1861C22—81no—
1862C22—81no—
1863C22—81no—
1864C22—81no—
1865C22—81no—
1866C22—81no—
1867C22—81no—
1868C22—81no—
1869C22—81no—
1870C22—81no—
1871C22—81no—
1872C22—81no—
1873C22—81no—
1874C22—81no—
1875C22—81no—
1876C22—81no—
1877C22—81no—
1878C22—81no—
1879C22—81no—
1880C22—81no—
1881C22—81no—
1882C22—81no—
1883C22—81no—
1884C22—81no—
1885C22—81no—
1886C22—81no—
1887C22—81no—
1888C22—81no—
1889C22—81no—
1890C22—168no—
1891C22—168no—
1892C22—168no—
1893C22—168no—
1894C22—168no—
1895C22C2×D4211yescharacteristic
1896C22C2×D4211yescharacteristic
1897C22#349811yescharacteristic
1898C22C22×AGL(1,ℤ/8)11yescharacteristic
1899C22C2×#57611yescharacteristic
1900C22#358511yescharacteristic
1901C22#358511yescharacteristic
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—41no—
1909C4—42no—
1910C4—41no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—41no—
1915C4—42no—
1916C4—81no—
1917C4—81no—
1918C4—81no—
1919C4—81no—
1920C4—81no—
1921C4C2×D4211yescharacteristic
1922C4#348411yescharacteristic
1923C4#349811yescharacteristic
1924C4#354311yescharacteristic
1925C2—42no—
1926C2—42no—
1927C2—81no—
1928C2—82no—
1929C2—82no—
1930C2—82no—
1931C2—82no—
1932C2—82no—
1933C2—161no—
1934C2—161no—
1935C2—161no—
1936C2#5912611yescharacteristic
1937C2D4×AGL(1,ℤ/8)11yescharacteristic
1938C2D4×AGL(1,ℤ/8)11yescharacteristic
1939C2#6107211yescharacteristic
1940C2#6109311yescharacteristic
1941C2#6242311yescharacteristic
1942C2#6244111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3274C2semidirect
2. C2×#3264C2semidirect
3. C2×#3264C2semidirect
4. C2×#3151C2semidirect
5. #59129C2semidirect
6. #59126C2semidirect
7. #30456C2semidirect
8. #30454C2semidirect
9. #30444C2semidirect
10. #30444C2semidirect
11. #28493C2semidirect
12. #28475C2semidirect
13. #25791C2semidirect
14. #25779C2semidirect
15. #25770C2semidirect
16. #25763C2semidirect
17. #25426C2semidirect
18. #25410C2semidirect
19. #25380C2semidirect
20. #25376C2semidirect
21. #24277C2semidirect
22. #24275C2semidirect
23. #24214C2semidirect
24. #24208C2semidirect
25. #23869C2semidirect
26. #23861C2semidirect
27. #23860C2semidirect
28. #23860C2semidirect
29. #23193C2semidirect
30. #21538C2semidirect
31. #21490C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C22×AGL(1,ℤ/8)C22semidirect
37. C23×D8C22semidirect
38. C2×#550C22semidirect
39. C2×#546C22semidirect
40. C2×#546C22semidirect
44. C2×D42C22semidirect
45. C2×#532C22semidirect
46. C22×#127C22semidirect
52. C2×#496C22semidirect
53. C2×#496C22semidirect
54. C2×#496C22semidirect
55. C2×#496C22semidirect
56. C2×#493C22semidirect
57. C2×#493C22semidirect
58. C2×#493C22semidirect
59. C2×#492C22semidirect
60. C2×#492C22semidirect
62. C2×#469C22semidirect
63. C2×#469C22semidirect
64. C2×#468C22semidirect
65. C2×#466C22semidirect
66. C2×#465C22semidirect
67. C2×#465C22semidirect
68. C2×#460C22semidirect
69. C2×#463C22semidirect
70. C2×#463C22semidirect
71. C2×#463C22semidirect
73. C2×#459C22semidirect
74. C2×#459C22semidirect
75. C2×#459C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
79. C2×#449C22semidirect
80. C2×#449C22semidirect
81. C2×#450C22semidirect
82. C2×#450C22semidirect
83. C2×#450C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×#447C22semidirect
87. C2×#447C22semidirect
88. C2×#447C22semidirect
89. C2×#447C22semidirect
90. C2×#447C22semidirect
91. C2×#447C22semidirect
92. C2×#442C22semidirect
93. C2×#442C22semidirect
94. C2×C4×SD16C22semidirect
95. C2×#436C22semidirect
96. C2×#435C22semidirect
97. C2×#435C22semidirect
98. C2×C4×M16C22semidirect
103. #2544C22semidirect
105. #2541C22semidirect
106. #2540C22semidirect
111. #2433C22semidirect
112. #2433C22semidirect
113. #2432C22semidirect
114. #2429C22semidirect
118. #2428C22semidirect
119. #2428C22semidirect
124. #2408C22semidirect
125. #2407C22semidirect
126. #2407C22semidirect
129. #2367C22semidirect
130. #2366C22semidirect
133. C4×#121C22semidirect
134. C4×#121C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2054C22semidirect
138. #2054C22semidirect
139. #2043C22semidirect
140. #2041C22semidirect
141. #2041C22semidirect
142. #2041C22semidirect
143. #2014C22semidirect
144. #2014C22semidirect
145. #2013C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2011C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1999C22semidirect
166. #1999C22semidirect
167. #1983C22semidirect
168. #1983C22semidirect
169. #1982C22semidirect
170. #1982C22semidirect
171. #1973C22semidirect
172. #1972C22semidirect
173. #1970C22semidirect
174. #1970C22semidirect
175. #1968C22semidirect
176. #1955C22semidirect
177. #1941C22semidirect
178. #1940C22semidirect
179. #1934C22semidirect
180. #1934C22semidirect
181. #1923C22semidirect
182. #1923C22semidirect
183. #1895C22semidirect
184. #1895C22semidirect
185. #1880C22semidirect
186. #1880C22semidirect
187. #1879C22semidirect
188. #1879C22semidirect
189. #1879C22semidirect
190. #1879C22semidirect
191. #1877C22semidirect
192. #1877C22semidirect
193. #1870C22semidirect
194. #1870C22semidirect
195. #1809C22semidirect
196. #1797C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1776C22semidirect
202. #1771C22semidirect
203. #1762C22semidirect
204. #1762C22semidirect
205. #1753C22semidirect
206. C8×C22⋊C4C22semidirect
369. #496D4semidirect
377. #469D4semidirect
727. C2×SD16C2×D4semidirect
728. C2×SD16C2×D4semidirect
772. C2×D8C2×D4semidirect
773. C2×D8C2×D4semidirect
774. C2×D8C2×D4semidirect
783. C2×M16C2×D4semidirect
822. #124C2×D4semidirect
867. #121C2×D4semidirect
995. #106C2×D4semidirect
1028. #102C2×D4semidirect
1029. #102C2×D4semidirect
1040. #97C2×D4semidirect
1515. C22⋊C4AGL(1,ℤ/8)semidirect
1812. C8D42semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#32642
C2×#31512
#591292
#591262
#304562
#304542
#304442
#284932
#284752
#257912
#257792
#257702
#257632
#254262
#254102
#253802
#253762
#242772
#242752
#242142
#242082
#238692
#238612
#238602
#231932
#215382
#214902