Finite Group Databasebeta

← #7563257

Subgroups — #7563257

Order 512.

3316 conjugacy classes of subgroups.

The subgroup lattice has 1910 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×SD16C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3C2×#3264C211yesmaximal, characteristic, complemented
4C22×#496C211yesmaximal, characteristic, complemented
5#59130C211yesmaximal, characteristic, complemented
6#59126C211yesmaximal, characteristic, complemented
7#30472C211yesmaximal, characteristic, complemented
8#30471C211yesmaximal, characteristic, complemented
9#30461C211yesmaximal, characteristic, complemented
10#30460C211yesmaximal, characteristic, complemented
11#28493C211yesmaximal, characteristic, complemented
12#28480C211yesmaximal, characteristic, complemented
13#25791C211yesmaximal, characteristic, complemented
14#25783C211yesmaximal, characteristic, complemented
15#25768C211yesmaximal, characteristic, complemented
16#25763C211yesmaximal, characteristic, complemented
17#25421C211yesmaximal, characteristic, complemented
18#25416C211yesmaximal, characteristic, complemented
19#25380C211yesmaximal, characteristic, complemented
20#25378C211yesmaximal, characteristic, complemented
21#24269C211yesmaximal, characteristic, complemented
22#24267C211yesmaximal, characteristic, complemented
23#24215C211yesmaximal, characteristic, complemented
24#24211C211yesmaximal, characteristic, complemented
25#23855C211yesmaximal, characteristic, complemented
26#23851C211yesmaximal, characteristic, complemented
27#23849C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23193C211yesmaximal, characteristic, complemented
30#21528C211yesmaximal, characteristic, complemented
31#21489C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×SD16C2211yescharacteristic, complemented
34C23×SD16C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36C23×D8C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic, complemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2211yescharacteristic, complemented
40C2×#546C2211yescharacteristic, complemented
41C2×D42—21no—
42C2×D42C2211yescharacteristic
43C2×D42C2211yescharacteristic
44C2×D42C2211yescharacteristic, complemented
45C22×#127C2211yescharacteristic
46C22×#124C2211yescharacteristic, complemented
47D4×SD16—28no—
48#3265—28no—
49#3264—28no—
50C2×#496—28no—
51C2×#496C2211yescharacteristic
52C2×#496C2211yescharacteristic
53C2×#496C2211yescharacteristic, complemented
54C2×#496C2211yescharacteristic, complemented
55C2×#496C2211yescharacteristic, complemented
56C2×#496C2211yescharacteristic, complemented
57C2×#496C2211yescharacteristic, complemented
58C2×#496C2211yescharacteristic, complemented
59C2×#496C2211yescharacteristic, complemented
60C2×#492C2211yescharacteristic, complemented
61C2×#469C2211yescharacteristic, complemented
62C2×#468C2211yescharacteristic, complemented
63C2×#468C2211yescharacteristic, complemented
64C2×#466C2211yescharacteristic, complemented
65C2×#466C2211yescharacteristic, complemented
66C2×#465C2211yescharacteristic
67C2×#465C2211yescharacteristic, complemented
68C2×#460C2211yescharacteristic, complemented
69C2×#460C2211yescharacteristic, complemented
70C2×#460C2211yescharacteristic, complemented
71C2×#463C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#463C2211yescharacteristic, complemented
74C2×#461C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic, complemented
77C2×#449C2211yescharacteristic, complemented
78C2×#449C2211yescharacteristic, complemented
79C2×#448C2211yescharacteristic
80C2×#448C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#450C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic, complemented
85C2×#450C2211yescharacteristic, complemented
86C2×#450C2211yescharacteristic, complemented
87C2×#450C2211yescharacteristic, complemented
88C2×#447C2211yescharacteristic
89C2×#447C2211yescharacteristic, complemented
90C2×#447C2211yescharacteristic, complemented
91C2×#447C2211yescharacteristic, complemented
92C2×#442C2211yescharacteristic, complemented
93C2×#440C2211yescharacteristic, complemented
94C2×C4×SD16C2211yescharacteristic, complemented
95C2×#435C2211yescharacteristic, complemented
96C2×#435C2211yescharacteristic, complemented
97C2×C8×D4C2211yescharacteristic, complemented
98C22×#97C2211yescharacteristic, complemented
99#2676—21no—
100#2674—21no—
101#2669—21no—
102#2669—21no—
103#2545C2211yescharacteristic, complemented
104#2541C2211yescharacteristic, complemented
105#2541C2211yescharacteristic, complemented
106#2540C2211yescharacteristic, complemented
107#2491—21no—
108#2472—21no—
109#2461—21no—
110#2437—21no—
111#2436C2211yescharacteristic, complemented
112#2433—21no—
113#2433C2211yescharacteristic, complemented
114#2433C2211yescharacteristic, complemented
115#2432C2211yescharacteristic, complemented
116#2428—21no—
117#2428C2211yescharacteristic, complemented
118#2428C2211yescharacteristic, complemented
119#2427C2211yescharacteristic, complemented
120#2426C2211yescharacteristic, complemented
121#2424—21no—
122#2409C2211yescharacteristic, complemented
123#2408—21no—
124#2408C2211yescharacteristic
125#2408C2211yescharacteristic
126#2408C2211yescharacteristic, complemented
127#2403—21no—
128#2403—21no—
129#2367C2211yescharacteristic, complemented
130#2366C2211yescharacteristic, complemented
131#2358—21no—
132C4×C22⋊Q8C2211yescharacteristic, complemented
133C4×#121C2211yescharacteristic
134C4×#121C2211yescharacteristic
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2054C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2041C2211yescharacteristic, complemented
142#2041C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2014C2211yescharacteristic, complemented
145#2014C2211yescharacteristic, complemented
146#2014C2211yescharacteristic, complemented
147#2013C2211yescharacteristic, complemented
148#2013C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, 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#1973C2211yescharacteristic, complemented
173#1973C2211yescharacteristic, complemented
174#1970C2211yescharacteristic, complemented
175#1970C2211yescharacteristic, complemented
176#1955C2211yescharacteristic, complemented
177#1944C2211yescharacteristic, complemented
178#1940C2211yescharacteristic, complemented
179#1936C2211yescharacteristic, complemented
180#1935C2211yescharacteristic, complemented
181#1924C2211yescharacteristic, complemented
182#1924C2211yescharacteristic, complemented
183#1893C2211yescharacteristic
184#1892C2211yescharacteristic, 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#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1808C2211yescharacteristic, complemented
196#1797C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1776C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203#1763C2211yescharacteristic, complemented
204#1762C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1752C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×Q8C2311yescharacteristic
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)—42no—
223C22×SD16—24no—
224C22×SD16—24no—
225C22×SD16—24no—
226C22×SD16—24no—
227C22×SD16—24no—
228C22×SD16—42no—
229C22×SD16—42no—
230C22×SD16—42no—
231C22×SD16—42no—
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×D8—24no—
248C22×D8—24no—
249C22×D8—24no—
250C22×D8—42no—
251C22×D8—42no—
252C22×D8—42no—
253C22×D8C2311yescharacteristic
254C22×D8C2311yescharacteristic
255C22×D8C2311yescharacteristic
256C22×D8C2311yescharacteristic
257C22×D8C2311yescharacteristic
258C22×D8C2311yescharacteristic
259C22×D8C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C23×C8C2311yescharacteristic
265C23×C8C2311yescharacteristic
266C23×C8C2311yescharacteristic
267D4×Q8—24no—
268D4×Q8—42no—
269#548—24no—
270#548—42no—
271#546—24no—
272#546—42no—
273D42—24no—
274D42—24no—
275D42—24no—
276D42—42no—
277D42—42no—
278D42—42no—
279D42—48no—
280C2×C4⋊Q8—21no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×#127—24no—
283C2×#127—21no—
284C2×#127—21no—
285C2×#127—21no—
286C2×#127—42no—
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#127C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#124—21no—
294C2×#124—24no—
295C2×#124—21no—
296C2×#124—21no—
297C2×#124—42no—
298C2×#124C2311yescharacteristic
299C2×#124C2311yescharacteristic
300C2×#124C2311yescharacteristic
301C2×#124C2311yescharacteristic
302C2×#124C2311yescharacteristic
303C2×#123—21no—
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
320C2×#121D411yescharacteristic
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×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2311yescharacteristic
347C2×C4×D4—21no—
348C2×C4×D4—21no—
349C2×C4×D4—21no—
350C2×C4×D4—21no—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C22×C22⋊C4—21no—
359C22×C22⋊C4—21no—
360C22×C22⋊C4—21no—
361C22×C42C2311yescharacteristic
362#496—24no—
363#496—24no—
364#496—24no—
365#496—24no—
366#496—24no—
367#496—24no—
368#496—24no—
369#496—24no—
370#496D418yescomplemented
371#492—24no—
372#469—24no—
373#468—24no—
374#468—42no—
375#466—24no—
376#466—42no—
377#465—24no—
378#465D418yescomplemented
379#463—24no—
380#463—24no—
381#463—42no—
382#461—24no—
383#460—24no—
384#460—24no—
385#460—42no—
386#459—24no—
387#450—24no—
388#450—24no—
389#450—24no—
390#450—24no—
391#450—42no—
392#449—24no—
393#449—24no—
394#449—42no—
395#448—24no—
396#448—24no—
397#448—24no—
398#448—42no—
399#447—24no—
400#447—24no—
401#447—24no—
402#447—42no—
403#442—24no—
404#440—24no—
405C4×SD16—24no—
406#435—24no—
407#435—24no—
408C8×D4—24no—
409C2×#107C2311yescharacteristic
410C2×#107C2311yescharacteristic
411C2×#106C2311yescharacteristic
412C2×C4⋊C8C2311yescharacteristic
413C2×C4⋊C8C2311yescharacteristic
414C2×C4⋊C8C2311yescharacteristic
415C2×C4⋊C8C2311yescharacteristic
416C2×#103C2311yescharacteristic
417C2×#103C2311yescharacteristic
418C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
447C2×C22⋊C8C2311yescharacteristic
448C2×C22⋊C8C2311yescharacteristic
449C2×C22⋊C8C2311yescharacteristic
450C2×C22⋊C8C2311yescharacteristic
451C2×C22⋊C8C2311yescharacteristic
452C2×C22⋊C8C2311yescharacteristic
453C2×C22⋊C8C2311yescharacteristic
454C2×#97—24no—
455C2×#97C2311yescharacteristic
456C2×#97C2311yescharacteristic
457C2×#97C2311yescharacteristic
458C2×#97C2311yescharacteristic
459C2×#97C2311yescharacteristic
460C2×C4×C8C2311yescharacteristic
461#399—21no—
462#397—21no—
463#396—21no—
464#396—21no—
465#396—21no—
466#395—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#393—21no—
477#393—21no—
478#393—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#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#390—21no—
497#390—21no—
498#390—21no—
499#390—21no—
500#390—21no—
501#390D411yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#389D411yescharacteristic
510#389C2311yescharacteristic
511#389C2311yescharacteristic
512#388—21no—
513#388—21no—
514#388—21no—
515#388—21no—
516#388—21no—
517#388—21no—
518#388D411yescharacteristic
519#388D411yescharacteristic
520#387—21no—
521#386—21no—
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#386D411yescharacteristic
531#386D411yescharacteristic
532#385—21no—
533#385—21no—
534#385—21no—
535#385—21no—
536#385—21no—
537#380—21no—
538#380D411yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#379—21no—
542#379—21no—
543#379—21no—
544C4×C4⋊C4—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—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C22×Q8—21no—
577C22×Q8—21no—
578C22×Q8—22no—
579C22×Q8—22no—
580C22×Q8—22no—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—41no—
584C22×Q8—41no—
585C22×Q8—41no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8C2411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×D4—21no—
594C22×D4—22no—
595C22×D4—22no—
596C22×D4—22no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—22no—
600C22×D4—22no—
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—22no—
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—22no—
632C22×D4—22no—
633C22×D4—22no—
634C22×D4—41no—
635C22×D4—41no—
636C22×D4—41no—
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—44no—
652C22×D4—44no—
653C22×D4—44no—
654C22×D4—44no—
655C22×D4—44no—
656C22×D4—44no—
657C22×D4—44no—
658C22×D4—44no—
659C22×D4—44no—
660C22×D4—82no—
661C22×D4—82no—
662C22×D4—82no—
663C22×D4—82no—
664C22×D4—82no—
665C22×D4—82no—
666C22×D4C2×D411yescharacteristic
667C22×D4C2×D411yescharacteristic
668C22×D4C2×D411yescharacteristic
669C22×D4C2411yescharacteristic
670C22×D4C2411yescharacteristic
671C22×D4C2411yescharacteristic
672C22×D4C2411yescharacteristic
673C22×D4C2411yescharacteristic
674C22×D4C2411yescharacteristic
675C22×D4C2411yescharacteristic
676C23×C4—21no—
677C23×C4—21no—
678C23×C4—21no—
679C23×C4—21no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4C2×D411yescharacteristic
684C23×C4C2×D411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688AGL(1,ℤ/8)—416no—
689C2×SD16—22no—
690C2×SD16—22no—
691C2×SD16—22no—
692C2×SD16—22no—
693C2×SD16—22no—
694C2×SD16—22no—
695C2×SD16—22no—
696C2×SD16—22no—
697C2×SD16—22no—
698C2×SD16—22no—
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—416no—
715C2×SD16—41no—
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—416no—
727C2×SD16—41no—
728C2×SD16—41no—
729C2×SD16—41no—
730C2×SD16—41no—
731C2×SD16—41no—
732C2×SD16—41no—
733C2×SD16—416no—
734C2×SD16C2×D414yescomplemented
735C2×SD16C2×D414yescomplemented
736C2×SD16C2×D414yescomplemented
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—416no—
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—416no—
765C2×D8—41no—
766C2×D8—41no—
767C2×D8C2×D414yescomplemented
768C2×D8C2×D414yescomplemented
769C2×M16—22no—
770C2×M16—22no—
771C2×M16—22no—
772C22×C8—22no—
773C22×C8—22no—
774C22×C8—22no—
775C22×C8—22no—
776C22×C8—22no—
777C22×C8—22no—
778C22×C8—22no—
779C22×C8—22no—
780C22×C8C2×D414yescomplemented
781C22×C8C2411yescharacteristic
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C22×C8C2411yescharacteristic
788C22×C8C2411yescharacteristic
789C4⋊Q8—22no—
790C4⋊Q8—41no—
791C4⋊Q8—44no—
792#127—22no—
793#127—22no—
794#127—22no—
795#127—22no—
796#127—22no—
797#127—22no—
798#127—22no—
799#127—41no—
800#127—41no—
801#127—41no—
802#127—41no—
803#127—44no—
804#127—44no—
805#127—44no—
806#127C2×D414yes—
807#124—22no—
808#124—22no—
809#124—22no—
810#124—22no—
811#124—22no—
812#124—22no—
813#124—44no—
814#124—44no—
815#124—41no—
816#124—41no—
817#124—41no—
818#124—44no—
819#124C2×D414yescomplemented
820#123—44no—
821C22⋊Q8—22no—
822C22⋊Q8—22no—
823C22⋊Q8—22no—
824C22⋊Q8—44no—
825C22⋊Q8—44no—
826C22⋊Q8—44no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—41no—
830C22⋊Q8—41no—
831C22⋊Q8C2×D414yescomplemented
832#121—24no—
833#121—22no—
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—41no—
847#121—41no—
848#121—41no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—44no—
853#121—44no—
854#121—41no—
855#121—41no—
856#121—41no—
857#121—41no—
858#121—41no—
859#121—41no—
860#121—82no—
861#121C2×D414yes—
862#120—44no—
863#120—44no—
864#120—44no—
865#120—44no—
866#120—44no—
867#120—44no—
868#120—44no—
869#120—44no—
870#120—44no—
871#120—44no—
872#120—44no—
873#120—44no—
874#120—82no—
875#120—82no—
876C4×Q8—22no—
877C4×Q8—22no—
878C4×Q8—22no—
879C4×Q8—41no—
880C4×D4—22no—
881C4×D4—22no—
882C4×D4—22no—
883C4×D4—22no—
884C4×D4—22no—
885C4×D4—22no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—22no—
889C4×D4—22no—
890C4×D4—22no—
891C4×D4—41no—
892C4×D4—41no—
893C4×D4—41no—
894C4×D4—44no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4C2×D411yescharacteristic
909C2×C4⋊C4C2×D411yescharacteristic
910C2×C4⋊C4C2×D411yescharacteristic
911C2×C4⋊C4C2×D411yescharacteristic
912C2×C4⋊C4C2×D411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C22⋊C4—21no—
920C2×C22⋊C4—21no—
921C2×C22⋊C4—21no—
922C2×C22⋊C4—21no—
923C2×C22⋊C4—21no—
924C2×C22⋊C4—21no—
925C2×C22⋊C4—21no—
926C2×C22⋊C4—21no—
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—44no—
964C2×C22⋊C4—44no—
965C2×C22⋊C4—44no—
966C2×C22⋊C4C2×D411yescharacteristic
967C2×C22⋊C4C2×D411yescharacteristic
968C2×C22⋊C4C2×D411yescharacteristic
969C2×C22⋊C4C2×D411yescharacteristic
970C2×C22⋊C4C2×D411yescharacteristic
971C2×C22⋊C4C2×D411yescharacteristic
972C2×C22⋊C4C2×D411yescharacteristic
973C2×C22⋊C4C2×D411yescharacteristic
974C2×C22⋊C4C2×D411yescharacteristic
975C2×C22⋊C4C2×D411yescharacteristic
976C2×C42—22no—
977C2×C42—22no—
978C2×C42—21no—
979C2×C42—21no—
980C2×C42—21no—
981C2×C42—21no—
982C2×C42C2×D411yescharacteristic
983C2×C42C2×D411yescharacteristic
984C2×C42C2411yescharacteristic
985C2×C42C2411yescharacteristic
986C2×C42C2411yescharacteristic
987C2×C42C2411yescharacteristic
988#107—22no—
989#107—22no—
990#106C2×D414yescomplemented
991C4⋊C8—22no—
992C4⋊C8—22no—
993C4⋊C8—22no—
994C4⋊C8—22no—
995#103—22no—
996#103—22no—
997#103—22no—
998#103—22no—
999#103—22no—
1000#103—41no—
1001#103—41no—
1002#103—41no—
1003#103C2×D414yescomplemented
1004#102—22no—
1005#102—22no—
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—41no—
1016#102—41no—
1017#102—41no—
1018#102—41no—
1019#102—41no—
1020#102—41no—
1021#102—41no—
1022#102—41no—
1023#102—41no—
1024#102C2×D414yescomplemented
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—22no—
1028C22⋊C8—22no—
1029C22⋊C8—22no—
1030C22⋊C8—22no—
1031C22⋊C8—22no—
1032C22⋊C8—22no—
1033#97—22no—
1034#97—22no—
1035#97—22no—
1036#97—22no—
1037#97C2×D414yescomplemented
1038C4×C8—22no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95—21no—
1043#95—21no—
1044#95—21no—
1045#95—21no—
1046#95—21no—
1047#95—21no—
1048#95—21no—
1049#95—21no—
1050#95—21no—
1051#95C2×D411yescharacteristic
1052#95C2×D411yescharacteristic
1053#95C2×D411yescharacteristic
1054#95C2×D411yescharacteristic
1055#95C2×D411yescharacteristic
1056#95C2×D411yescharacteristic
1057C24—21no—
1058C24—21no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—21no—
1063C24—21no—
1064C24—42no—
1065C24—42no—
1066C24—42no—
1067C24—42no—
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—81no—
1083C24—81no—
1084C24—81no—
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—
1099C24C22×D411yescharacteristic
1100C24C22×D411yescharacteristic
1101C24C22×D411yescharacteristic
1102#41—44no—
1103#41—82no—
1104#41—82no—
1105#41—82no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—21no—
1110C2×Q8—21no—
1111C2×Q8—21no—
1112C2×Q8—21no—
1113C2×Q8—21no—
1114C2×Q8—21no—
1115C2×Q8—21no—
1116C2×Q8—21no—
1117C2×Q8—21no—
1118C2×Q8—21no—
1119C2×Q8—21no—
1120C2×Q8—21no—
1121C2×Q8—21no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—44no—
1126C2×Q8—44no—
1127C2×Q8—42no—
1128C2×Q8—44no—
1129C2×Q8—81no—
1130C2×Q8—81no—
1131C2×Q8—82no—
1132C2×Q8—82no—
1133C2×Q8—82no—
1134C2×Q8—82no—
1135C2×Q8—82no—
1136C2×Q8C22×D412yes—
1137C2×Q8C22×D412yes—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—24no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—24no—
1147C2×D4—24no—
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—21no—
1184C2×D4—21no—
1185C2×D4—21no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—41no—
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—42no—
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—82no—
1244C2×D4—82no—
1245C2×D4—82no—
1246C2×D4—82no—
1247C2×D4—82no—
1248C2×D4—82no—
1249C2×D4—81no—
1250C2×D4—81no—
1251C2×D4—81no—
1252C2×D4—81no—
1253C2×D4—81no—
1254C2×D4—81no—
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—82no—
1269C2×D4—82no—
1270C2×D4—82no—
1271C2×D4—82no—
1272C2×D4—82no—
1273C2×D4—82no—
1274C2×D4—816no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—816no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—81no—
1286C2×D4—81no—
1287C2×D4—81no—
1288C2×D4—81no—
1289C2×D4—81no—
1290C2×D4—816no—
1291C2×D4—816no—
1292C2×D4—816no—
1293C2×D4AGL(1,ℤ/8)14yescomplemented
1294C2×D4C22×D412yes—
1295C2×D4C22×D412yes—
1296C2×D4C22×D412yes—
1297C2×D4C22×D412yes—
1298C22×C4—21no—
1299C22×C4—21no—
1300C22×C4—21no—
1301C22×C4—21no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—21no—
1305C22×C4—21no—
1306C22×C4—21no—
1307C22×C4—21no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
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—81no—
1344C22×C4—81no—
1345C22×C4—81no—
1346C22×C4—81no—
1347C22×C4—81no—
1348C22×C4—81no—
1349C22×C4—81no—
1350C22×C4C22×D411yescharacteristic
1351C22×C4C22×D411yescharacteristic
1352C22×C4C22×D411yescharacteristic
1353C22×C4C22×D411yescharacteristic
1354C22×C4C22×D411yescharacteristic
1355C22×C4C22×D411yescharacteristic
1356C22×C4C22×D411yescharacteristic
1357C22×C4C22×D411yescharacteristic
1358C22×C4C22×D411yescharacteristic
1359C22×C4C22×D411yescharacteristic
1360C22×C4C22×D412yes—
1361C22×C4C22×D411yescharacteristic
1362C22×C4H(5,𝔽2)12yes—
1363C22×C4C2511yescharacteristic
1364SD16—28no—
1365SD16—28no—
1366SD16—44no—
1367SD16—44no—
1368SD16—44no—
1369SD16—44no—
1370SD16—44no—
1371SD16—44no—
1372SD16—44no—
1373SD16—44no—
1374SD16—44no—
1375SD16—44no—
1376SD16—82no—
1377SD16—82no—
1378SD16—82no—
1379D8—28no—
1380D8—44no—
1381D8—44no—
1382D8—44no—
1383D8—44no—
1384D8—44no—
1385D8—44no—
1386D8—44no—
1387D8—44no—
1388D8—82no—
1389M16—44no—
1390C2×C8—28no—
1391C2×C8—21no—
1392C2×C8—21no—
1393C2×C8—21no—
1394C2×C8—21no—
1395C2×C8—21no—
1396C2×C8—21no—
1397C2×C8—28no—
1398C2×C8—21no—
1399C2×C8—21no—
1400C2×C8—21no—
1401C2×C8—21no—
1402C2×C8—21no—
1403C2×C8—21no—
1404C2×C8—21no—
1405C2×C8—21no—
1406C2×C8—21no—
1407C2×C8—21no—
1408C2×C8—21no—
1409C2×C8—21no—
1410C2×C8—44no—
1411C2×C8C22×D412yes—
1412C2×C8C22×D412yes—
1413C2×C8C22×D412yes—
1414C2×C8C22×D412yes—
1415C2×C8H(5,𝔽2)12yes—
1416C2×C8H(5,𝔽2)12yes—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—41no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—81no—
1441C4⋊C4—81no—
1442C4⋊C4C22×D412yes—
1443C4⋊C4C22×D412yes—
1444C22⋊C4—24no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—22no—
1455C22⋊C4—22no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
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—81no—
1489C22⋊C4—81no—
1490C22⋊C4—81no—
1491C22⋊C4—81no—
1492C22⋊C4—81no—
1493C22⋊C4—81no—
1494C22⋊C4—81no—
1495C22⋊C4—81no—
1496C22⋊C4—81no—
1497C22⋊C4—81no—
1498C42—22no—
1499C42—22no—
1500C42—21no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—21no—
1505C42—21no—
1506C42—42no—
1507C42—42no—
1508C42—42no—
1509C42—81no—
1510C42C22×D412yes—
1511C42H(5,𝔽2)12yes—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—22no—
1525C23—21no—
1526C23—21no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—41no—
1539C23—41no—
1540C23—41no—
1541C23—41no—
1542C23—41no—
1543C23—41no—
1544C23—41no—
1545C23—41no—
1546C23—41no—
1547C23—41no—
1548C23—41no—
1549C23—41no—
1550C23—41no—
1551C23—41no—
1552C23—41no—
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—84no—
1579C23—84no—
1580C23—84no—
1581C23—84no—
1582C23—84no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23—84no—
1590C23—84no—
1591C23—84no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23—162no—
1597C23—162no—
1598C23—162no—
1599C23—162no—
1600C23—162no—
1601C23—162no—
1602C23—162no—
1603C23—162no—
1604C23—162no—
1605C23—162no—
1606C23—162no—
1607C23—162no—
1608C23—162no—
1609C23—162no—
1610C23—162no—
1611C23—162no—
1612C23—162no—
1613C23D4212yes—
1614C23C2×AGL(1,ℤ/8)12yes—
1615C23C2×AGL(1,ℤ/8)12yes—
1616C23#57712yes—
1617C23C23×D411yescharacteristic
1618Q8—22no—
1619Q8—22no—
1620Q8—22no—
1621Q8—22no—
1622Q8—41no—
1623Q8—41no—
1624Q8—41no—
1625Q8—41no—
1626Q8—41no—
1627Q8—41no—
1628Q8—41no—
1629Q8—41no—
1630Q8—84no—
1631Q8—84no—
1632D4—28no—
1633D4—22no—
1634D4—22no—
1635D4—22no—
1636D4—22no—
1637D4—22no—
1638D4—22no—
1639D4—22no—
1640D4—22no—
1641D4—44no—
1642D4—48no—
1643D4—44no—
1644D4—48no—
1645D4—41no—
1646D4—41no—
1647D4—41no—
1648D4—41no—
1649D4—41no—
1650D4—41no—
1651D4—41no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—41no—
1663D4—41no—
1664D4—41no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—84no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—162no—
1686D4—162no—
1687D4—162no—
1688D4—162no—
1689D4—162no—
1690D4—162no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—41no—
1731C2×C4—41no—
1732C2×C4—41no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—84no—
1762C2×C4—84no—
1763C2×C4—84no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—84no—
1767C2×C4—162no—
1768C2×C4D4212yes—
1769C2×C4D4212yes—
1770C2×C4D4212yes—
1771C2×C4C2×AGL(1,ℤ/8)12yes—
1772C2×C4C23×D411yescharacteristic
1773C2×C4C23×D411yescharacteristic
1774C2×C4C2×H(5,𝔽2)11yescharacteristic
1775C2×C4C2×H(5,𝔽2)11yescharacteristic
1776C2×C4C2×H(5,𝔽2)11yescharacteristic
1777C2×C4C2×H(5,𝔽2)11yescharacteristic
1778C8—22no—
1779C8—22no—
1780C8—22no—
1781C8—41no—
1782C8—41no—
1783C8—41no—
1784C8—41no—
1785C8D4214yescomplemented
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—41no—
1812C22—41no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—81no—
1819C22—81no—
1820C22—81no—
1821C22—81no—
1822C22—81no—
1823C22—81no—
1824C22—81no—
1825C22—81no—
1826C22—81no—
1827C22—81no—
1828C22—81no—
1829C22—81no—
1830C22—81no—
1831C22—81no—
1832C22—81no—
1833C22—81no—
1834C22—81no—
1835C22—81no—
1836C22—81no—
1837C22—81no—
1838C22—81no—
1839C22—81no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—168no—
1856C22—168no—
1857C22—168no—
1858C22—168no—
1859C22—168no—
1860C22#326514yescomplemented
1861C22C2×D4211yescharacteristic
1862C22C2×D4211yescharacteristic
1863C22#349811yescharacteristic
1864C22C22×AGL(1,ℤ/8)11yescharacteristic
1865C22C2×#57711yescharacteristic
1866C22#358511yescharacteristic
1867C22#358511yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—41no—
1873C4—42no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—42no—
1879C4—41no—
1880C4—41no—
1881C4—42no—
1882C4—42no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4—81no—
1887C4—81no—
1888C4C2×D4211yescharacteristic
1889C4#348411yescharacteristic
1890C4#349811yescharacteristic
1891C4#354311yescharacteristic
1892C2—24no—
1893C2—42no—
1894C2—81no—
1895C2—82no—
1896C2—82no—
1897C2—82no—
1898C2—82no—
1899C2—161no—
1900C2—161no—
1901C2—161no—
1902C2#5912611yescharacteristic
1903C2C2×#326511yescharacteristic
1904C2D4×AGL(1,ℤ/8)11yescharacteristic
1905C2#6107111yescharacteristic
1906C2#6108211yescharacteristic
1907C2#6244711yescharacteristic
1908C2#6245711yescharacteristic
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×D4×SD16C2semidirect
2. C2×#3265C2semidirect
3. C2×#3264C2semidirect
4. C22×#496C2semidirect
5. #59130C2semidirect
6. #59126C2semidirect
7. #30472C2semidirect
8. #30471C2semidirect
9. #30461C2semidirect
10. #30460C2semidirect
11. #28493C2semidirect
12. #28480C2semidirect
13. #25791C2semidirect
14. #25783C2semidirect
15. #25768C2semidirect
16. #25763C2semidirect
17. #25421C2semidirect
18. #25416C2semidirect
19. #25380C2semidirect
20. #25378C2semidirect
21. #24269C2semidirect
22. #24267C2semidirect
23. #24215C2semidirect
24. #24211C2semidirect
25. #23855C2semidirect
26. #23851C2semidirect
27. #23849C2semidirect
28. #23848C2semidirect
29. #23193C2semidirect
30. #21528C2semidirect
31. #21489C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C23×SD16C22semidirect
34. C23×SD16C22semidirect
35. C23×SD16C22semidirect
36. C23×D8C22semidirect
37. C23×D8C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
40. C2×#546C22semidirect
44. C2×D42C22semidirect
46. C22×#124C22semidirect
53. C2×#496C22semidirect
54. C2×#496C22semidirect
55. C2×#496C22semidirect
56. C2×#496C22semidirect
57. C2×#496C22semidirect
58. C2×#496C22semidirect
59. C2×#496C22semidirect
60. C2×#492C22semidirect
61. C2×#469C22semidirect
62. C2×#468C22semidirect
63. C2×#468C22semidirect
64. C2×#466C22semidirect
65. C2×#466C22semidirect
67. C2×#465C22semidirect
68. C2×#460C22semidirect
69. C2×#460C22semidirect
70. C2×#460C22semidirect
71. C2×#463C22semidirect
72. C2×#463C22semidirect
73. C2×#463C22semidirect
74. C2×#461C22semidirect
75. C2×#459C22semidirect
76. C2×#449C22semidirect
77. C2×#449C22semidirect
78. C2×#449C22semidirect
80. C2×#448C22semidirect
81. C2×#448C22semidirect
82. C2×#448C22semidirect
83. C2×#450C22semidirect
84. C2×#450C22semidirect
85. C2×#450C22semidirect
86. C2×#450C22semidirect
87. C2×#450C22semidirect
89. C2×#447C22semidirect
90. C2×#447C22semidirect
91. C2×#447C22semidirect
92. C2×#442C22semidirect
93. C2×#440C22semidirect
94. C2×C4×SD16C22semidirect
95. C2×#435C22semidirect
96. C2×#435C22semidirect
97. C2×C8×D4C22semidirect
98. C22×#97C22semidirect
103. #2545C22semidirect
104. #2541C22semidirect
105. #2541C22semidirect
106. #2540C22semidirect
111. #2436C22semidirect
113. #2433C22semidirect
114. #2433C22semidirect
115. #2432C22semidirect
117. #2428C22semidirect
118. #2428C22semidirect
119. #2427C22semidirect
120. #2426C22semidirect
122. #2409C22semidirect
126. #2408C22semidirect
129. #2367C22semidirect
130. #2366C22semidirect
132. C4×C22⋊Q8C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2054C22semidirect
138. #2054C22semidirect
139. #2042C22semidirect
140. #2042C22semidirect
141. #2041C22semidirect
142. #2041C22semidirect
143. #2014C22semidirect
144. #2014C22semidirect
145. #2014C22semidirect
146. #2014C22semidirect
147. #2013C22semidirect
148. #2013C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
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. #1973C22semidirect
173. #1973C22semidirect
174. #1970C22semidirect
175. #1970C22semidirect
176. #1955C22semidirect
177. #1944C22semidirect
178. #1940C22semidirect
179. #1936C22semidirect
180. #1935C22semidirect
181. #1924C22semidirect
182. #1924C22semidirect
184. #1892C22semidirect
185. #1880C22semidirect
186. #1880C22semidirect
187. #1879C22semidirect
188. #1879C22semidirect
189. #1879C22semidirect
190. #1879C22semidirect
191. #1877C22semidirect
192. #1877C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1808C22semidirect
196. #1797C22semidirect
197. #1787C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1776C22semidirect
202. #1771C22semidirect
203. #1763C22semidirect
204. #1762C22semidirect
205. #1753C22semidirect
206. #1752C22semidirect
370. #496D4semidirect
378. #465D4semidirect
734. C2×SD16C2×D4semidirect
735. C2×SD16C2×D4semidirect
736. C2×SD16C2×D4semidirect
767. C2×D8C2×D4semidirect
768. C2×D8C2×D4semidirect
780. C22×C8C2×D4semidirect
819. #124C2×D4semidirect
831. C22⋊Q8C2×D4semidirect
990. #106C2×D4semidirect
1003. #103C2×D4semidirect
1024. #102C2×D4semidirect
1037. #97C2×D4semidirect
1293. C2×D4AGL(1,ℤ/8)semidirect
1785. C8D42semidirect
1860. C22#3265semidirect

Maximal subgroups

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

subgroupindex
C2×D4×SD162
C2×#32652
C2×#32642
C22×#4962
#591302
#591262
#304722
#304712
#304612
#304602
#284932
#284802
#257912
#257832
#257682
#257632
#254212
#254162
#253802
#253782
#242692
#242672
#242152
#242112
#238552
#238512
#238492
#238482
#231932
#215282
#214892