Finite Group Databasebeta

← #6574378

Subgroups — #6574378

Order 512.

2972 conjugacy classes of subgroups.

The subgroup lattice has 1768 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×#3041C211yesmaximal, characteristic, complemented
4C2×#3036C211yesmaximal, characteristic, complemented
5#37681C211yesmaximal, characteristic, complemented
6#34290C211yesmaximal, characteristic, complemented
7#33166C211yesmaximal, characteristic, complemented
8#32917C211yesmaximal, characteristic, complemented
9#32902C211yesmaximal, characteristic, complemented
10#28454C211yesmaximal, characteristic, complemented
11#28257C211yesmaximal, characteristic, complemented
12#25378C211yesmaximal, characteristic, complemented
13#25364C211yesmaximal, characteristic, complemented
14#25106C211yesmaximal, characteristic, complemented
15#25097C211yesmaximal, characteristic, complemented
16#25092C211yesmaximal, characteristic, complemented
17#25083C211yesmaximal, characteristic, complemented
18#24767C211yesmaximal, characteristic, complemented
19#24758C211yesmaximal, characteristic, complemented
20#24744C211yesmaximal, characteristic, complemented
21#24737C211yesmaximal, characteristic, complemented
22#24367C211yesmaximal, characteristic, complemented
23#24366C211yesmaximal, characteristic, complemented
24#24366C211yesmaximal, characteristic, complemented
25#24354C211yesmaximal, characteristic, complemented
26#24218C211yesmaximal, characteristic, complemented
27#24214C211yesmaximal, characteristic, complemented
28#22649C211yesmaximal, characteristic, complemented
29#22427C211yesmaximal, characteristic, complemented
30#22422C211yesmaximal, characteristic, complemented
31#21510C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×D8C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#546C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×#535C2211yescharacteristic, complemented
40C2×#532C2211yescharacteristic, complemented
41C2×#518C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic, complemented
43#3274—28no—
44#3264—28no—
45C2×#496C2211yescharacteristic
46C2×#493C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#469C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic
51#3041—28no—
52#3036—28no—
53C2×#460C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic
55C2×#463C2211yescharacteristic
56C2×#463C2211yescharacteristic
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#463C2211yescharacteristic, complemented
60C2×#463C2211yescharacteristic, complemented
61C2×#463C2211yescharacteristic, complemented
62C2×#463C2211yescharacteristic, complemented
63C2×#463C2211yescharacteristic, complemented
64C2×#461C2211yescharacteristic, complemented
65C2×#461C2211yescharacteristic, complemented
66C2×#459C2211yescharacteristic
67C2×#459C2211yescharacteristic
68C2×#459C2211yescharacteristic
69C2×#459C2211yescharacteristic
70C2×#459C2211yescharacteristic
71C2×#459C2211yescharacteristic, complemented
72C2×#459C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#459C2211yescharacteristic, complemented
75C2×#459C2211yescharacteristic, complemented
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic, complemented
79C2×#450C2211yescharacteristic
80C2×#447C2211yescharacteristic
81C2×#447C2211yescharacteristic
82C2×#447C2211yescharacteristic
83C2×#447C2211yescharacteristic, complemented
84C2×#442C2211yescharacteristic
85C2×C4×SD16C2211yescharacteristic, complemented
86C2×#436C2211yescharacteristic
87C2×#435C2211yescharacteristic
88C2×#424C2211yescharacteristic, complemented
89C2×#423C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#417C2211yescharacteristic, complemented
92C2×#418C2211yescharacteristic, complemented
93C2×#416C2211yescharacteristic, complemented
94#2856C2211yescharacteristic, complemented
95#2675—21no—
96#2675—21no—
97#2669—21no—
98#2669—21no—
99#2657C2211yescharacteristic, complemented
100#2620C2211yescharacteristic, complemented
101#2545C2211yescharacteristic, complemented
102#2541C2211yescharacteristic, complemented
103#2456—21no—
104#2456—21no—
105#2433C2211yescharacteristic, complemented
106#2432C2211yescharacteristic, complemented
107#2431C2211yescharacteristic, complemented
108#2431C2211yescharacteristic, complemented
109#2424—21no—
110#2424—21no—
111#2366C2211yescharacteristic, complemented
112#2364—21no—
113#2363C2211yescharacteristic
114#2361C2211yescharacteristic, complemented
115#2358—21no—
116#2358—21no—
117#2352C2211yescharacteristic
118#2349C2211yescharacteristic, complemented
119D4×C22⋊C4—21no—
120D4×C22⋊C4C2211yescharacteristic
121D4×C22⋊C4C2211yescharacteristic, complemented
122#2328C2211yescharacteristic, complemented
123#2326C2211yescharacteristic, complemented
124#2325—21no—
125#2324C2211yescharacteristic
126#2321—21no—
127C4×#121C2211yescharacteristic, complemented
128C4×#120—21no—
129#2290C2211yescharacteristic
130C2×#386—21no—
131#2275C2211yescharacteristic, complemented
132#2066C2211yescharacteristic, complemented
133#2065C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2065C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2054C2211yescharacteristic, complemented
140#2054C2211yescharacteristic, complemented
141#2054C2211yescharacteristic, complemented
142#2054C2211yescharacteristic, complemented
143#2054C2211yescharacteristic, complemented
144#2043C2211yescharacteristic, complemented
145#2042C2211yescharacteristic, complemented
146#2041C2211yescharacteristic, complemented
147#2041C2211yescharacteristic, complemented
148#2013C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2011C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#1983C2211yescharacteristic, complemented
157#1983C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1983C2211yescharacteristic, complemented
160#1982C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1961C2211yescharacteristic, complemented
164#1958C2211yescharacteristic, complemented
165#1948C2211yescharacteristic, complemented
166#1940C2211yescharacteristic, complemented
167#1939C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1894C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1874C2211yescharacteristic, complemented
186#1874C2211yescharacteristic, complemented
187#1873C2211yescharacteristic, complemented
188#1851C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1850C2211yescharacteristic, complemented
192#1843C2211yescharacteristic, complemented
193#1805C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1802C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1798C2211yescharacteristic, complemented
199#1797C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1788C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1768C2211yescharacteristic, complemented
205#1763C2211yescharacteristic, complemented
206C4×#102C2211yescharacteristic, complemented
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C22×#41C2311yescharacteristic
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C24×C4—21no—
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—24no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×D8—24no—
231C22×D8—24no—
232C22×D8—42no—
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×M16C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#550—24no—
250#550—24no—
251#546—24no—
252#546—24no—
253D42—24no—
254D42D418yescomplemented
255#535—24no—
256#535—42no—
257#532—24no—
258#532—42no—
259C2×C4⋊Q8C2311yescharacteristic
260C2×#127—21no—
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#127C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272C2×#123—21no—
273C2×C22⋊Q8C2311yescharacteristic
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298#518—24no—
299#518—42no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×D4—21no—
302C2×C4×D4—21no—
303C2×C4×D4—21no—
304C2×C4×D4—21no—
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4—24no—
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×C4×D4—42no—
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×C4×D4C2311yescharacteristic
320C2×C4×D4C2311yescharacteristic
321C2×C4×D4C2311yescharacteristic
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×#117C2311yescharacteristic
325C2×#117C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C22⋊C4—21no—
328C22×C22⋊C4—21no—
329C22×C22⋊C4—21no—
330C22×C22⋊C4—21no—
331C22×C22⋊C4—21no—
332C22×C22⋊C4—21no—
333C22×C42C2311yescharacteristic
334#496—24no—
335#493—24no—
336#469—24no—
337#469—24no—
338#469—24no—
339#465—24no—
340#463—24no—
341#463—24no—
342#463—24no—
343#463—24no—
344#463—24no—
345#463—24no—
346#463—24no—
347#463—42no—
348#463—42no—
349#463D418yescomplemented
350#461—24no—
351#461—24no—
352#460—24no—
353#459—24no—
354#459—24no—
355#459—24no—
356#459—24no—
357#459—24no—
358#459—24no—
359#459—24no—
360#459—24no—
361#459—42no—
362#459—42no—
363#450—24no—
364#449—24no—
365#449—24no—
366#449—24no—
367#447—24no—
368#447—24no—
369#447—24no—
370#447—24no—
371#442—24no—
372C4×SD16—24no—
373#436—24no—
374#435—24no—
375C2×#106C2311yescharacteristic
376C2×#106C2311yescharacteristic
377#424—24no—
378#423—24no—
379C2×C4⋊C8C2311yescharacteristic
380C2×C4⋊C8C2311yescharacteristic
381C2×C4⋊C8C2311yescharacteristic
382C2×C4⋊C8C2311yescharacteristic
383C2×C4⋊C8C2311yescharacteristic
384C2×C4⋊C8C2311yescharacteristic
385C2×C4⋊C8C2311yescharacteristic
386C2×C4⋊C8C2311yescharacteristic
387C2×C4⋊C8C2311yescharacteristic
388C2×C4⋊C8C2311yescharacteristic
389C2×C4⋊C8C2311yescharacteristic
390C2×C4⋊C8C2311yescharacteristic
391#418—24no—
392#417—24no—
393#417—24no—
394#416—24no—
395C2×#103C2311yescharacteristic
396C2×#103C2311yescharacteristic
397C2×#103C2311yescharacteristic
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412C2×#102C2311yescharacteristic
413C2×#102C2311yescharacteristic
414C2×#102C2311yescharacteristic
415C2×#102C2311yescharacteristic
416C2×#102C2311yescharacteristic
417C2×#102C2311yescharacteristic
418C2×#102C2311yescharacteristic
419C2×#102C2311yescharacteristic
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428C2×#102C2311yescharacteristic
429C2×#102C2311yescharacteristic
430C2×#102C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×#97C2311yescharacteristic
436C2×C4×C8C2311yescharacteristic
437#396—21no—
438#396—21no—
439#396—21no—
440#396—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#394—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#391C2311yescharacteristic
458#391C2311yescharacteristic
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388D411yescharacteristic
484#388D411yescharacteristic
485#387—21no—
486#387D411yescharacteristic
487#387D411yescharacteristic
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#386—21no—
507#386D411yescharacteristic
508#386D411yescharacteristic
509#385—21no—
510#385—21no—
511#385—21no—
512#385—21no—
513#385—21no—
514#385—21no—
515#385—21no—
516#385—21no—
517#385D411yescharacteristic
518#385D411yescharacteristic
519#384C2311yescharacteristic
520#382C2311yescharacteristic
521#380—21no—
522#380C2311yescharacteristic
523#380C2311yescharacteristic
524#379—21no—
525#379—21no—
526C4×C4⋊C4C2311yescharacteristic
527C4×C4⋊C4C2311yescharacteristic
528C4×C4⋊C4C2311yescharacteristic
529C4×C4⋊C4C2311yescharacteristic
530C4×C22⋊C4—21no—
531C4×C22⋊C4—21no—
532C4×C22⋊C4—21no—
533C4×C22⋊C4—21no—
534C4×C22⋊C4—21no—
535C4×C22⋊C4—21no—
536C4×C22⋊C4C2311yescharacteristic
537C4×C22⋊C4C2311yescharacteristic
538#376C2311yescharacteristic
539C2×#95—21no—
540C2×#95—21no—
541#340C2311yescharacteristic
542#340C2311yescharacteristic
543#340C2311yescharacteristic
544#340C2311yescharacteristic
545#340C2311yescharacteristic
546#340C2311yescharacteristic
547#340C2311yescharacteristic
548#340C2311yescharacteristic
549#336C2311yescharacteristic
550#336C2311yescharacteristic
551#336C2311yescharacteristic
552#336C2311yescharacteristic
553#336C2311yescharacteristic
554#336C2311yescharacteristic
555C25—21no—
556C25—21no—
557C25—21no—
558C2×#41—22no—
559C2×#41—22no—
560C2×#41—22no—
561C2×#41—22no—
562C2×#41—22no—
563C2×#41—22no—
564C2×#41—22no—
565C2×#41—22no—
566C2×#41—22no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—41no—
574C2×#41—41no—
575C2×#41—41no—
576C22×Q8C2411yescharacteristic
577C22×Q8C2411yescharacteristic
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—22no—
581C22×D4—22no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—28no—
585C22×D4—22no—
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—21no—
596C22×D4—22no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
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—22no—
609C22×D4—22no—
610C22×D4—22no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—82no—
619C22×D4—82no—
620C22×D4C2×D414yes—
621C22×D4C2×D414yes—
622C22×D4C2×D411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C22×D4C2411yescharacteristic
627C22×D4C2411yescharacteristic
628C22×D4C2411yescharacteristic
629C22×D4C2411yescharacteristic
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—44no—
645C23×C4—82no—
646C23×C4—82no—
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651AGL(1,ℤ/8)—416no—
652AGL(1,ℤ/8)—416no—
653AGL(1,ℤ/8)—416no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16C2×D414yes—
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—22no—
687C2×D8—22no—
688C2×D8—22no—
689C2×D8—22no—
690C2×D8—22no—
691C2×D8—22no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—41no—
697C2×D8—41no—
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—416no—
708C2×D8C2×D414yes—
709C2×M16—22no—
710C2×M16—22no—
711C2×M16—22no—
712C2×M16—22no—
713C2×M16—22no—
714C2×M16—22no—
715C2×M16—41no—
716C2×M16—41no—
717C2×M16—41no—
718C22×C8—22no—
719C22×C8—22no—
720C22×C8—41no—
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C4⋊Q8—22no—
730C4⋊Q8—41no—
731#127—22no—
732#127—22no—
733#127—22no—
734#127—22no—
735#127—22no—
736#127—22no—
737#127—22no—
738#127—41no—
739#127—41no—
740#127—41no—
741#127—41no—
742#127—44no—
743#127C2×D414yes—
744#124—22no—
745#124—22no—
746#124—22no—
747#124—22no—
748#124—22no—
749#124—22no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124C2×D414yescomplemented
754#123—44no—
755C22⋊Q8—22no—
756C22⋊Q8—22no—
757#121—22no—
758#121—22no—
759#121—28no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—44no—
767#121—44no—
768#121—44no—
769#121—44no—
770#121—44no—
771#121—44no—
772#121—44no—
773#121—82no—
774#121—82no—
775#121—82no—
776#121—82no—
777#121C2×D414yes—
778#121C2×D414yes—
779#120—28no—
780#120—28no—
781#120—44no—
782#120—44no—
783#120—44no—
784#120—82no—
785#120—82no—
786C4×Q8—22no—
787C4×Q8—22no—
788C4×D4—22no—
789C4×D4—22no—
790C4×D4—22no—
791C4×D4—22no—
792C4×D4—22no—
793C4×D4—22no—
794C4×D4—22no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—22no—
798C4×D4—22no—
799C4×D4—22no—
800C4×D4—22no—
801C4×D4—44no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—44no—
810C4×D4—44no—
811C4×D4—44no—
812C4×D4—44no—
813C4×D4—82no—
814C4×D4—82no—
815C4×D4—82no—
816C4×D4C2×D414yes—
817C4×D4C2×D414yes—
818C4×D4C2×D414yes—
819C4×D4#4114yes—
820#117—22no—
821#117—22no—
822#117—22no—
823#117—41no—
824C2×C4⋊C4—22no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—41no—
835C2×C4⋊C4C2×D411yescharacteristic
836C2×C4⋊C4C2×D411yescharacteristic
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D411yescharacteristic
839C2×C4⋊C4C2×D411yescharacteristic
840C2×C4⋊C4C2411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
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—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—44no—
893C2×C22⋊C4—44no—
894C2×C22⋊C4—44no—
895C2×C22⋊C4—44no—
896C2×C22⋊C4—82no—
897C2×C22⋊C4—82no—
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C42—22no—
907C2×C42—22no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42—21no—
911C2×C42—21no—
912C2×C42—21no—
913C2×C42C2×D411yescharacteristic
914C2×C42C2×D411yescharacteristic
915C2×C42C2411yescharacteristic
916C2×C42C2411yescharacteristic
917C2×C42C2411yescharacteristic
918C2×C42C2411yescharacteristic
919C2×C42C2411yescharacteristic
920#106—22no—
921#106—22no—
922C4⋊C8—22no—
923C4⋊C8—22no—
924C4⋊C8—22no—
925C4⋊C8—22no—
926C4⋊C8—22no—
927C4⋊C8—22no—
928C4⋊C8—22no—
929C4⋊C8—22no—
930C4⋊C8—22no—
931C4⋊C8—41no—
932C4⋊C8—41no—
933C4⋊C8C2×D414yescomplemented
934#103—22no—
935#103—22no—
936#103—22no—
937#103—22no—
938#103—22no—
939#103—22no—
940#103—41no—
941#103—41no—
942#103—41no—
943#103C2×D414yescomplemented
944#102—22no—
945#102—22no—
946#102—22no—
947#102—22no—
948#102—22no—
949#102—22no—
950#102—22no—
951#102—22no—
952#102—22no—
953#102—22no—
954#102—22no—
955#102—22no—
956#102—22no—
957#102—22no—
958#102—22no—
959#102—22no—
960#102—22no—
961#102—22no—
962#102—41no—
963#102—41no—
964#102—41no—
965#102—41no—
966#102—41no—
967#102—41no—
968#102—41no—
969#102C2×D414yescomplemented
970C22⋊C8—22no—
971C22⋊C8—22no—
972C22⋊C8—22no—
973C22⋊C8—22no—
974#97—22no—
975C4×C8—22no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95C2×D411yescharacteristic
990#95C2×D411yescharacteristic
991#95C2×D411yescharacteristic
992#95C2×D411yescharacteristic
993#95C2×D411yescharacteristic
994#95C2×D411yescharacteristic
995#95C2×D411yescharacteristic
996#95C2×D411yescharacteristic
997#95C2×D411yescharacteristic
998#95C2×D411yescharacteristic
999C24—21no—
1000C24—21no—
1001C24—21no—
1002C24—21no—
1003C24—24no—
1004C24—24no—
1005C24—21no—
1006C24—21no—
1007C24—21no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24C22×D411yescharacteristic
1028C24C22×D411yescharacteristic
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—44no—
1033#41—44no—
1034#41—44no—
1035#41—82no—
1036#41—82no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040#41—82no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8C22×D412yes—
1053C2×D4—28no—
1054C2×D4—28no—
1055C2×D4—24no—
1056C2×D4—24no—
1057C2×D4—24no—
1058C2×D4—24no—
1059C2×D4—24no—
1060C2×D4—24no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—82no—
1135C2×D4—82no—
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—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—816no—
1173C2×D4#12114yes—
1174C2×D4C22×D412yes—
1175C2×D4C22×D412yes—
1176C2×D4C22×D412yes—
1177C2×D4C22×D412yes—
1178C2×D4C22×D412yes—
1179C2×D4H(5,𝔽2)12yes—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—24no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
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×C4—81no—
1232C22×C4—81no—
1233C22×C4—81no—
1234C22×C4—81no—
1235C22×C4—81no—
1236C22×C4—81no—
1237C22×C4—81no—
1238C22×C4—81no—
1239C22×C4—81no—
1240C22×C4—81no—
1241C22×C4—81no—
1242C22×C4—81no—
1243C22×C4—81no—
1244C22×C4—81no—
1245C22×C4—816no—
1246C22×C4C22×D411yescharacteristic
1247C22×C4C22×D411yescharacteristic
1248C22×C4C22×D411yescharacteristic
1249C22×C4C22×D411yescharacteristic
1250C22×C4C22×D411yescharacteristic
1251C22×C4C22×D411yescharacteristic
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D412yes—
1256C22×C4C22×D412yes—
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C2×#4112yes—
1261C22×C4C2×#4112yes—
1262C22×C4C2511yescharacteristic
1263SD16—28no—
1264SD16—44no—
1265SD16—44no—
1266SD16—44no—
1267SD16—44no—
1268SD16—82no—
1269D8—28no—
1270D8—44no—
1271D8—44no—
1272D8—44no—
1273D8—44no—
1274D8—44no—
1275D8—44no—
1276D8—44no—
1277D8—44no—
1278D8—82no—
1279D8—82no—
1280D8—82no—
1281M16—44no—
1282M16—44no—
1283M16—44no—
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×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—44no—
1307C2×C8C22×D412yes—
1308C2×C8C22×D412yes—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—41no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—81no—
1331C4⋊C4—81no—
1332C4⋊C4—81no—
1333C4⋊C4—81no—
1334C4⋊C4#12114yes—
1335C4⋊C4C22×D412yes—
1336C4⋊C4C22×D412yes—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—24no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
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—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4#12114yes—
1389C22⋊C4#12114yes—
1390C42—22no—
1391C42—22no—
1392C42—21no—
1393C42—21no—
1394C42—21no—
1395C42—21no—
1396C42—21no—
1397C42—21no—
1398C42—42no—
1399C42—42no—
1400C42—81no—
1401C42—81no—
1402C42—81no—
1403C42C22×D412yes—
1404C42C22×D412yes—
1405C42C2×#4112yes—
1406C42H(5,𝔽2)12yes—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—22no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—48no—
1426C23—48no—
1427C23—48no—
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—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23—162no—
1481C23—162no—
1482C23—162no—
1483C23—162no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23C2×#12112yes—
1490C23C2×#12112yes—
1491C23C23×D411yescharacteristic
1492Q8—22no—
1493Q8—22no—
1494Q8—41no—
1495Q8—41no—
1496Q8—41no—
1497Q8—41no—
1498Q8—41no—
1499Q8—41no—
1500D4—22no—
1501D4—22no—
1502D4—22no—
1503D4—22no—
1504D4—22no—
1505D4—22no—
1506D4—22no—
1507D4—22no—
1508D4—22no—
1509D4—44no—
1510D4—48no—
1511D4—48no—
1512D4—48no—
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—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—41no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550D4—162no—
1551D4D4214yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—44no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—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—82no—
1618C2×C4—84no—
1619C2×C4—84no—
1620C2×C4—84no—
1621C2×C4—84no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—162no—
1628C2×C4—162no—
1629C2×C4—162no—
1630C2×C4—162no—
1631C2×C4—162no—
1632C2×C4C2×#12112yes—
1633C2×C4C2×#12112yes—
1634C2×C4C2×#12112yes—
1635C2×C4C2×#12112yes—
1636C2×C4D4212yes—
1637C2×C4D4212yes—
1638C2×C4#57612yes—
1639C2×C4C23×D411yescharacteristic
1640C2×C4C23×D411yescharacteristic
1641C2×C4C22×#4111yescharacteristic
1642C2×C4C2×H(5,𝔽2)11yescharacteristic
1643C2×C4C2×H(5,𝔽2)11yescharacteristic
1644C2×C4#58511yescharacteristic
1645C8—22no—
1646C8—22no—
1647C8—41no—
1648C8—41no—
1649C8—41no—
1650C8—41no—
1651C8—41no—
1652C8—41no—
1653C22—22no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—24no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—816no—
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—
1719C22C22×#12111yescharacteristic
1720C22C2×D4211yescharacteristic
1721C22#348811yescharacteristic
1722C22C2×#57611yescharacteristic
1723C22#358511yescharacteristic
1724C22#358511yescharacteristic
1725C22#358511yescharacteristic
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—42no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—42no—
1740C4—42no—
1741C4—81no—
1742C4—81no—
1743C4—81no—
1744C4—81no—
1745C4—81no—
1746C4—81no—
1747C4C2×D4211yescharacteristic
1748C4D4×#4111yescharacteristic
1749C4#349611yescharacteristic
1750C4#351911yescharacteristic
1751C2—42no—
1752C2—42no—
1753C2—44no—
1754C2—82no—
1755C2—82no—
1756C2—82no—
1757C2—161no—
1758C2—161no—
1759C2—161no—
1760C2D4×#12111yescharacteristic
1761C2#6042311yescharacteristic
1762C2#6042811yescharacteristic
1763C2#6106311yescharacteristic
1764C2#6107211yescharacteristic
1765C2#6204011yescharacteristic
1766C2#6208311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ 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×#3041C2semidirect
4. C2×#3036C2semidirect
5. #37681C2semidirect
6. #34290C2semidirect
7. #33166C2semidirect
8. #32917C2semidirect
9. #32902C2semidirect
10. #28454C2semidirect
11. #28257C2semidirect
12. #25378C2semidirect
13. #25364C2semidirect
14. #25106C2semidirect
15. #25097C2semidirect
16. #25092C2semidirect
17. #25083C2semidirect
18. #24767C2semidirect
19. #24758C2semidirect
20. #24744C2semidirect
21. #24737C2semidirect
22. #24367C2semidirect
23. #24366C2semidirect
24. #24366C2semidirect
25. #24354C2semidirect
26. #24218C2semidirect
27. #24214C2semidirect
28. #22649C2semidirect
29. #22427C2semidirect
30. #22422C2semidirect
31. #21510C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
39. C2×#535C22semidirect
40. C2×#532C22semidirect
42. C22×C4×D4C22semidirect
46. C2×#493C22semidirect
49. C2×#469C22semidirect
53. C2×#460C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#463C22semidirect
60. C2×#463C22semidirect
61. C2×#463C22semidirect
62. C2×#463C22semidirect
63. C2×#463C22semidirect
64. C2×#461C22semidirect
65. C2×#461C22semidirect
71. C2×#459C22semidirect
72. C2×#459C22semidirect
73. C2×#459C22semidirect
74. C2×#459C22semidirect
75. C2×#459C22semidirect
78. C2×#449C22semidirect
83. C2×#447C22semidirect
85. C2×C4×SD16C22semidirect
88. C2×#424C22semidirect
89. C2×#423C22semidirect
90. C2×#417C22semidirect
91. C2×#417C22semidirect
92. C2×#418C22semidirect
93. C2×#416C22semidirect
94. #2856C22semidirect
99. #2657C22semidirect
100. #2620C22semidirect
101. #2545C22semidirect
102. #2541C22semidirect
105. #2433C22semidirect
106. #2432C22semidirect
107. #2431C22semidirect
108. #2431C22semidirect
111. #2366C22semidirect
114. #2361C22semidirect
118. #2349C22semidirect
121. D4×C22⋊C4C22semidirect
122. #2328C22semidirect
123. #2326C22semidirect
127. C4×#121C22semidirect
131. #2275C22semidirect
132. #2066C22semidirect
133. #2065C22semidirect
134. #2065C22semidirect
135. #2065C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2054C22semidirect
140. #2054C22semidirect
141. #2054C22semidirect
142. #2054C22semidirect
143. #2054C22semidirect
144. #2043C22semidirect
145. #2042C22semidirect
146. #2041C22semidirect
147. #2041C22semidirect
148. #2013C22semidirect
149. #2012C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2011C22semidirect
155. #2011C22semidirect
156. #1983C22semidirect
157. #1983C22semidirect
158. #1983C22semidirect
159. #1983C22semidirect
160. #1982C22semidirect
161. #1982C22semidirect
162. #1982C22semidirect
163. #1961C22semidirect
164. #1958C22semidirect
165. #1948C22semidirect
166. #1940C22semidirect
167. #1939C22semidirect
168. #1927C22semidirect
169. #1926C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1894C22semidirect
173. #1893C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1874C22semidirect
186. #1874C22semidirect
187. #1873C22semidirect
188. #1851C22semidirect
189. #1851C22semidirect
190. #1851C22semidirect
191. #1850C22semidirect
192. #1843C22semidirect
193. #1805C22semidirect
194. #1804C22semidirect
195. #1802C22semidirect
196. #1802C22semidirect
197. #1802C22semidirect
198. #1798C22semidirect
199. #1797C22semidirect
200. #1788C22semidirect
201. #1788C22semidirect
202. #1788C22semidirect
203. #1786C22semidirect
204. #1768C22semidirect
205. #1763C22semidirect
206. C4×#102C22semidirect
254. D42D4semidirect
349. #463D4semidirect
753. #124C2×D4semidirect
933. C4⋊C8C2×D4semidirect
943. #103C2×D4semidirect
969. #102C2×D4semidirect

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×#30412
C2×#30362
#376812
#342902
#331662
#329172
#329022
#284542
#282572
#253782
#253642
#251062
#250972
#250922
#250832
#247672
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