Finite Group Databasebeta

← #7514120

Subgroups — #7514120

Order 512.

3525 conjugacy classes of subgroups.

The subgroup lattice has 1947 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3274C211yesmaximal, characteristic, complemented
2C2×#3273C211yesmaximal, characteristic, complemented
3C2×#3012C211yesmaximal, characteristic, complemented
4C2×#3008C211yesmaximal, characteristic, complemented
5#44886C211yesmaximal, characteristic, complemented
6#35680C211yesmaximal, characteristic, complemented
7#31060C211yesmaximal, characteristic, complemented
8#30515C211yesmaximal, characteristic, complemented
9#30458C211yesmaximal, characteristic, complemented
10#30447C211yesmaximal, characteristic, complemented
11#25779C211yesmaximal, characteristic, complemented
12#25777C211yesmaximal, characteristic, complemented
13#25757C211yesmaximal, characteristic, complemented
14#25152C211yesmaximal, characteristic, complemented
15#25148C211yesmaximal, characteristic, complemented
16#25139C211yesmaximal, characteristic, complemented
17#25132C211yesmaximal, characteristic, complemented
18#25106C211yesmaximal, characteristic, complemented
19#25093C211yesmaximal, characteristic, complemented
20#24428C211yesmaximal, characteristic, complemented
21#24424C211yesmaximal, characteristic, complemented
22#24391C211yesmaximal, characteristic, complemented
23#24390C211yesmaximal, characteristic, complemented
24#24372C211yesmaximal, characteristic, complemented
25#24366C211yesmaximal, characteristic, complemented
26#23860C211yesmaximal, characteristic, complemented
27#23857C211yesmaximal, characteristic, complemented
28#23851C211yesmaximal, characteristic, complemented
29#22876C211yesmaximal, characteristic, complemented
30#22870C211yesmaximal, characteristic, complemented
31#22853C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
36C22×#135C2211yescharacteristic, complemented
37C23×D8C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×#546C2211yescharacteristic
40C2×#546C2211yescharacteristic, complemented
41C2×D42C2211yescharacteristic, complemented
42C2×D42C2211yescharacteristic, complemented
43C2×#537C2211yescharacteristic, complemented
44C2×#535C2211yescharacteristic, complemented
45#3274—28no—
46#3273—28no—
47C2×#495C2211yescharacteristic, complemented
48C2×#493C2211yescharacteristic, complemented
49C2×#493C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#466C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#463C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61#3012—28no—
62#3008—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic, complemented
65C2×#452C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic, complemented
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#449C2211yescharacteristic, complemented
71C2×#449C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic, complemented
73C2×#449C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic, complemented
75C2×#450C2211yescharacteristic, complemented
76C2×#450C2211yescharacteristic, complemented
77C2×#447C2211yescharacteristic
78C2×#447C2211yescharacteristic
79C2×#447C2211yescharacteristic
80C2×#447C2211yescharacteristic
81C2×#447C2211yescharacteristic, complemented
82C2×#447C2211yescharacteristic, complemented
83C2×#447C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic, complemented
85C2×#447C2211yescharacteristic, complemented
86C2×C4×SD16C2211yescharacteristic, complemented
87C2×C4×D8C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic, complemented
89C2×#436C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic, complemented
91C2×#418C2211yescharacteristic, complemented
92C2×#416C2211yescharacteristic
93C22×#102C2211yescharacteristic, complemented
94C2×#408C2211yescharacteristic, complemented
95C2×#408C2211yescharacteristic, complemented
96#2676—21no—
97#2673—21no—
98#2669—21no—
99#2669—21no—
100#2615C2211yescharacteristic
101#2613—21no—
102#2541—21no—
103#2541C2211yescharacteristic, complemented
104#2461—21no—
105#2433C2211yescharacteristic
106#2433C2211yescharacteristic, complemented
107#2431C2211yescharacteristic, complemented
108#2431C2211yescharacteristic, complemented
109#2431C2211yescharacteristic, complemented
110#2430—21no—
111#2428C2211yescharacteristic, complemented
112#2426C2211yescharacteristic, complemented
113#2424—21no—
114#2424—21no—
115#2416C2211yescharacteristic, complemented
116#2414C2211yescharacteristic, complemented
117#2410—21no—
118#2410—21no—
119#2408C2211yescharacteristic
120#2407C2211yescharacteristic, complemented
121#2407C2211yescharacteristic, complemented
122#2407C2211yescharacteristic, complemented
123#2404—21no—
124#2403—21no—
125#2403—21no—
126#2388C2211yescharacteristic
127C2×#392—21no—
128#2362C2211yescharacteristic, complemented
129#2361C2211yescharacteristic, complemented
130#2339C2211yescharacteristic
131D4×C22⋊C4C2211yescharacteristic, complemented
132D4×C22⋊C4C2211yescharacteristic, complemented
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2055C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2054C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2034C2211yescharacteristic, complemented
144#2033C2211yescharacteristic, complemented
145#2033C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2014C2211yescharacteristic, complemented
148#2014C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2012C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2011C2211yescharacteristic, complemented
155#2011C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2000C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1999C2211yescharacteristic, complemented
161#1999C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1970C2211yescharacteristic, complemented
167#1970C2211yescharacteristic, complemented
168#1970C2211yescharacteristic, complemented
169#1969C2211yescharacteristic, complemented
170#1954C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1895C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1879C2211yescharacteristic, complemented
187#1879C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic, complemented
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1851C2211yescharacteristic, complemented
201#1788C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C8×C22⋊C4C2211yescharacteristic, complemented
206C8×C22⋊C4C2211yescharacteristic, complemented
207C2×H(5,𝔽2)—24no—
208C2×H(5,𝔽2)—24no—
209C2×H(5,𝔽2)—42no—
210C2×H(5,𝔽2)—42no—
211C2×H(5,𝔽2)—42no—
212C2×H(5,𝔽2)—42no—
213C22×#41—21no—
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C23×D4—21no—
221C23×D4—21no—
222C23×D4—21no—
223C23×D4—21no—
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C2×AGL(1,ℤ/8)—24no—
231C2×AGL(1,ℤ/8)—24no—
232C2×AGL(1,ℤ/8)—24no—
233C2×AGL(1,ℤ/8)—24no—
234C2×AGL(1,ℤ/8)—24no—
235C2×AGL(1,ℤ/8)—24no—
236C2×AGL(1,ℤ/8)—42no—
237C2×AGL(1,ℤ/8)—42no—
238C2×AGL(1,ℤ/8)—42no—
239C2×#135—24no—
240C2×#135—42no—
241C2×#135—42no—
242C22×Q16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×SD16C2311yescharacteristic
246C22×SD16C2311yescharacteristic
247C22×SD16C2311yescharacteristic
248C22×SD16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×D8—24no—
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×D8C2311yescharacteristic
264C22×D8C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C22×M16C2311yescharacteristic
268C23×C8C2311yescharacteristic
269C23×C8C2311yescharacteristic
270#550—24no—
271#550—42no—
272#546—24no—
273#546—24no—
274#546—42no—
275#546—42no—
276D42—24no—
277D42—42no—
278D42—42no—
279D42—42no—
280#537—24no—
281#537—42no—
282#535—24no—
283#535—42no—
284C2×#127—21no—
285C2×#127—21no—
286C2×#127—21no—
287C2×#127C2311yescharacteristic
288C2×#127C2311yescharacteristic
289C2×#127C2311yescharacteristic
290C2×#127C2311yescharacteristic
291C2×#124—21no—
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294C2×#123—21no—
295C2×#123—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8C2311yescharacteristic
298C2×C22⋊Q8C2311yescharacteristic
299C2×C22⋊Q8C2311yescharacteristic
300C2×#121—21no—
301C2×#121—21no—
302C2×#121—21no—
303C2×#121—21no—
304C2×#121—21no—
305C2×#121—21no—
306C2×#121—21no—
307C2×#121—21no—
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121C2311yescharacteristic
312C2×#121C2311yescharacteristic
313C2×#121C2311yescharacteristic
314C2×#121C2311yescharacteristic
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120—21no—
329C2×#120—21no—
330C2×#120—21no—
331C2×#120—21no—
332C2×#120—21no—
333C2×#120—21no—
334C2×#120—21no—
335C2×#120—21no—
336C2×#120—21no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×D4—21no—
339C2×C4×D4—21no—
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C22⋊C4—21no—
350C22×C22⋊C4—21no—
351C22×C22⋊C4—21no—
352C22×C22⋊C4—21no—
353#495—24no—
354#493—24no—
355#493—42no—
356#469—24no—
357#469—24no—
358#468—24no—
359#468—24no—
360#466—42no—
361#466—42no—
362#463—24no—
363#463—24no—
364#460—24no—
365#459—24no—
366#459—42no—
367#452—24no—
368#452—24no—
369#452D418yescomplemented
370#450—24no—
371#450—24no—
372#449—24no—
373#449—24no—
374#449—24no—
375#449—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#449—24no—
380#449—42no—
381#447—24no—
382#447—24no—
383#447—24no—
384#447—24no—
385#447—24no—
386#447—24no—
387#447—24no—
388#447—24no—
389#447D418yescomplemented
390C4×SD16—24no—
391C4×D8—24no—
392#436—24no—
393#436—24no—
394C2×#107C2311yescharacteristic
395C2×#107C2311yescharacteristic
396C2×#107C2311yescharacteristic
397C2×#106C2311yescharacteristic
398C2×C4⋊C8C2311yescharacteristic
399C2×C4⋊C8C2311yescharacteristic
400C2×C4⋊C8C2311yescharacteristic
401#418—24no—
402#417—24no—
403#416—24no—
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#102—24no—
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×#102C2311yescharacteristic
432C2×#102C2311yescharacteristic
433C2×#102C2311yescharacteristic
434C2×#102C2311yescharacteristic
435C2×#102C2311yescharacteristic
436C2×#102C2311yescharacteristic
437#408—24no—
438#408—24no—
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×C22⋊C8C2311yescharacteristic
446C2×C22⋊C8C2311yescharacteristic
447C2×C22⋊C8C2311yescharacteristic
448C2×C22⋊C8C2311yescharacteristic
449C2×C22⋊C8C2311yescharacteristic
450C2×C4×C8C2311yescharacteristic
451C2×C4×C8C2311yescharacteristic
452C2×C4×C8C2311yescharacteristic
453#396—21no—
454#396—21no—
455#395D411yescharacteristic
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394D411yescharacteristic
465#394D411yescharacteristic
466#394D411yescharacteristic
467#393—21no—
468#393D411yescharacteristic
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#392—21no—
476#392—21no—
477#392—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#392D411yescharacteristic
491#392D411yescharacteristic
492#392D411yescharacteristic
493#391C2311yescharacteristic
494#391C2311yescharacteristic
495#391C2311yescharacteristic
496#390—21no—
497#390—21no—
498#390—21no—
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2311yescharacteristic
508#388—21no—
509#388—21no—
510#388—21no—
511#388—21no—
512#388—21no—
513#387—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386—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#386—21no—
531#386—21no—
532#385—21no—
533#385—21no—
534#385—21no—
535#385—21no—
536#381—21no—
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#380C2311yescharacteristic
540#380C2311yescharacteristic
541#379—21no—
542#379—21no—
543#379—21no—
544C4×C4⋊C4—21no—
545C4×C4⋊C4C2311yescharacteristic
546C4×C22⋊C4C2311yescharacteristic
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C2×#95—21no—
550#340C2311yescharacteristic
551#340C2311yescharacteristic
552#340C2311yescharacteristic
553#340C2311yescharacteristic
554#340C2311yescharacteristic
555#340C2311yescharacteristic
556#340C2311yescharacteristic
557#340C2311yescharacteristic
558#336C2311yescharacteristic
559#336C2311yescharacteristic
560#336C2311yescharacteristic
561#336C2311yescharacteristic
562#336C2311yescharacteristic
563#336C2311yescharacteristic
564C25—21no—
565C25—21no—
566C25—21no—
567C25—21no—
568C25—21no—
569H(5,𝔽2)—416no—
570H(5,𝔽2)—416no—
571H(5,𝔽2)—416no—
572H(5,𝔽2)—416no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—22no—
588C2×#41—22no—
589C2×#41—22no—
590C2×#41—22no—
591C2×#41—41no—
592C2×#41—41no—
593C2×#41—41no—
594C2×#41—41no—
595C2×#41—41no—
596C2×#41—41no—
597C2×#41—41no—
598C2×#41—41no—
599C2×#41—41no—
600C2×#41—41no—
601C2×#41—41no—
602C2×#41—41no—
603C2×#41—41no—
604C2×#41—44no—
605C2×#41—41no—
606C2×#41—41no—
607C2×#41—41no—
608C2×#41—41no—
609C2×#41—44no—
610C2×#41—44no—
611C2×#41C2×D414yes—
612C22×Q8C2×D411yescharacteristic
613C22×Q8C2411yescharacteristic
614C22×Q8C2411yescharacteristic
615C22×D4—22no—
616C22×D4—22no—
617C22×D4—22no—
618C22×D4—22no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—22no—
622C22×D4—22no—
623C22×D4—22no—
624C22×D4—22no—
625C22×D4—22no—
626C22×D4—22no—
627C22×D4—22no—
628C22×D4—22no—
629C22×D4—21no—
630C22×D4—21no—
631C22×D4—21no—
632C22×D4—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—22no—
648C22×D4—22no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—22no—
661C22×D4—22no—
662C22×D4—22no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4—41no—
667C22×D4—41no—
668C22×D4—41no—
669C22×D4—41no—
670C22×D4—41no—
671C22×D4—41no—
672C22×D4—41no—
673C22×D4—41no—
674C22×D4—41no—
675C22×D4—44no—
676C22×D4—44no—
677C22×D4—44no—
678C22×D4—44no—
679C22×D4—44no—
680C22×D4—44no—
681C22×D4—44no—
682C22×D4—44no—
683C22×D4—44no—
684C22×D4—44no—
685C22×D4—44no—
686C22×D4—82no—
687C22×D4—82no—
688C22×D4—82no—
689C22×D4—82no—
690C22×D4C2×D411yescharacteristic
691C22×D4C2×D411yescharacteristic
692C22×D4C2×D411yescharacteristic
693C22×D4C2×D411yescharacteristic
694C22×D4C2×D414yes—
695C22×D4C2×D411yescharacteristic
696C22×D4C2×D411yescharacteristic
697C22×D4C2411yescharacteristic
698C22×D4C2411yescharacteristic
699C22×D4C2411yescharacteristic
700C22×D4C2411yescharacteristic
701C22×D4C2411yescharacteristic
702C22×D4C2411yescharacteristic
703C22×D4C2411yescharacteristic
704C23×C4—21no—
705C23×C4—21no—
706C23×C4—21no—
707C23×C4—21no—
708C23×C4—21no—
709C23×C4—21no—
710C23×C4—21no—
711C23×C4—21no—
712C23×C4—21no—
713C23×C4—21no—
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718AGL(1,ℤ/8)—416no—
719AGL(1,ℤ/8)—416no—
720AGL(1,ℤ/8)—416no—
721#135—416no—
722C2×Q16—41no—
723C2×Q16—41no—
724C2×Q16C2×D414yescomplemented
725C2×SD16—22no—
726C2×SD16—22no—
727C2×SD16—22no—
728C2×SD16—22no—
729C2×SD16—22no—
730C2×SD16—22no—
731C2×SD16—22no—
732C2×SD16—22no—
733C2×SD16—22no—
734C2×SD16—22no—
735C2×SD16—22no—
736C2×SD16—22no—
737C2×SD16—22no—
738C2×SD16—41no—
739C2×SD16—41no—
740C2×SD16—41no—
741C2×SD16—41no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16C2×D414yes—
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—22no—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—22no—
760C2×D8—22no—
761C2×D8—22no—
762C2×D8—22no—
763C2×D8—22no—
764C2×D8—22no—
765C2×D8—22no—
766C2×D8—22no—
767C2×D8—41no—
768C2×D8—41no—
769C2×D8—41no—
770C2×D8—41no—
771C2×D8—41no—
772C2×D8—41no—
773C2×D8—41no—
774C2×D8—41no—
775C2×D8—41no—
776C2×D8—41no—
777C2×D8—41no—
778C2×D8—41no—
779C2×D8—41no—
780C2×D8—416no—
781C2×D8C2×D414yes—
782C2×D8C2×D414yescomplemented
783C2×M16—22no—
784C2×M16—22no—
785C2×M16—22no—
786C2×M16—22no—
787C2×M16—22no—
788C2×M16—22no—
789C2×M16—41no—
790C2×M16—41no—
791C2×M16—41no—
792C22×C8—22no—
793C22×C8—22no—
794C22×C8—22no—
795C22×C8—22no—
796C22×C8—41no—
797C22×C8—41no—
798C22×C8C2411yescharacteristic
799C22×C8C2411yescharacteristic
800C22×C8C2411yescharacteristic
801C22×C8C2411yescharacteristic
802C22×C8C2411yescharacteristic
803C22×C8C2411yescharacteristic
804C22×C8C2411yescharacteristic
805C22×C8C2411yescharacteristic
806#127—22no—
807#127—22no—
808#127—22no—
809#127—41no—
810#127—41no—
811#127—41no—
812#127—41no—
813#127—41no—
814#127—44no—
815#127—44no—
816#127—82no—
817#124—22no—
818#124—22no—
819#124—41no—
820#124—41no—
821#124—44no—
822#123—44no—
823#123—44no—
824C22⋊Q8—22no—
825C22⋊Q8—22no—
826C22⋊Q8—22no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—44no—
830C22⋊Q8C2×D414yescomplemented
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—22no—
840#121—22no—
841#121—22no—
842#121—22no—
843#121—22no—
844#121—22no—
845#121—22no—
846#121—22no—
847#121—44no—
848#121—44no—
849#121—44no—
850#121—44no—
851#121—44no—
852#121—44no—
853#121—41no—
854#121—41no—
855#121—41no—
856#121—41no—
857#121—41no—
858#121—41no—
859#121—41no—
860#121—41no—
861#121—41no—
862#121—44no—
863#121—44no—
864#121—44no—
865#121—82no—
866#121—82no—
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—82no—
877#120—82no—
878#120—82no—
879#120—82no—
880#120—82no—
881C4×Q8—22no—
882C4×Q8—41no—
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—41no—
895C4×D4—41no—
896C4×D4—41no—
897C4×D4—44no—
898C4×D4—82no—
899#117—22no—
900#117—41no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4—22no—
903C2×C4⋊C4—21no—
904C2×C4⋊C4—21no—
905C2×C4⋊C4—21no—
906C2×C4⋊C4—21no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—41no—
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×C4⋊C4C2411yescharacteristic
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—82no—
966C2×C22⋊C4—82no—
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×C22⋊C4C2×D411yescharacteristic
977C2×C22⋊C4C2×D411yescharacteristic
978C2×C22⋊C4C2×D411yescharacteristic
979C2×C42—21no—
980C2×C42—21no—
981C2×C42—21no—
982C2×C42C2411yescharacteristic
983C2×C42C2411yescharacteristic
984C2×C42C2411yescharacteristic
985#107—22no—
986#107—41no—
987#107—41no—
988#106—22no—
989C4⋊C8—22no—
990C4⋊C8—22no—
991C4⋊C8—41no—
992#103—22no—
993#103—22no—
994#103—22no—
995#103—22no—
996#103—22no—
997#103—41no—
998#103C2×D414yescomplemented
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
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—41no—
1015#102—41no—
1016#102—41no—
1017#102—41no—
1018#102—41no—
1019#102—41no—
1020#102—41no—
1021#102C2×D414yes—
1022#102C2×D414yes—
1023#102C2×D414yescomplemented
1024C22⋊C8—22no—
1025C22⋊C8—22no—
1026C22⋊C8—22no—
1027C22⋊C8—22no—
1028C22⋊C8—22no—
1029C22⋊C8—22no—
1030C22⋊C8—22no—
1031C22⋊C8—22no—
1032C22⋊C8—41no—
1033C22⋊C8C2×D414yescomplemented
1034C22⋊C8C2×D414yescomplemented
1035C4×C8—22no—
1036C4×C8—22no—
1037C4×C8—41no—
1038#95—21no—
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—24no—
1059C24—21no—
1060C24—21no—
1061C24—21no—
1062C24—24no—
1063C24—21no—
1064C24—21no—
1065C24—21no—
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—81no—
1080C24—81no—
1081C24—81no—
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
1102C24C22×D411yescharacteristic
1103#41—28no—
1104#41—28no—
1105#41—44no—
1106#41—44no—
1107#41—44no—
1108#41—44no—
1109#41—44no—
1110#41—44no—
1111#41—44no—
1112#41—44no—
1113#41—44no—
1114#41—44no—
1115#41—44no—
1116#41—44no—
1117#41—44no—
1118#41—44no—
1119#41—44no—
1120#41—432no—
1121#41—44no—
1122#41—44no—
1123#41—82no—
1124#41—82no—
1125#41—82no—
1126#41—82no—
1127#41—82no—
1128C2×Q8—22no—
1129C2×Q8—22no—
1130C2×Q8—21no—
1131C2×Q8—21no—
1132C2×Q8—21no—
1133C2×Q8—21no—
1134C2×Q8—21no—
1135C2×Q8—21no—
1136C2×Q8—21no—
1137C2×Q8—21no—
1138C2×Q8—21no—
1139C2×Q8—21no—
1140C2×Q8—41no—
1141C2×Q8C22×D412yes—
1142C2×Q8C22×D412yes—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—24no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—22no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—24no—
1154C2×D4—22no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
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—21no—
1187C2×D4—21no—
1188C2×D4—21no—
1189C2×D4—21no—
1190C2×D4—21no—
1191C2×D4—21no—
1192C2×D4—21no—
1193C2×D4—21no—
1194C2×D4—21no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
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—44no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
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—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—432no—
1244C2×D4—432no—
1245C2×D4—432no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—82no—
1268C2×D4—82no—
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—81no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—82no—
1285C2×D4—82no—
1286C2×D4—82no—
1287C2×D4—81no—
1288C2×D4—81no—
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—81no—
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—81no—
1310C2×D4—81no—
1311C2×D4—81no—
1312C2×D4—81no—
1313C2×D4—816no—
1314C2×D4—816no—
1315C2×D4C22×D412yes—
1316C2×D4C22×D412yes—
1317C2×D4C22×D412yes—
1318C2×D4C22×D412yes—
1319C2×D4H(5,𝔽2)12yes—
1320C2×D4H(5,𝔽2)12yes—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—24no—
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—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
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—81no—
1371C22×C4—81no—
1372C22×C4—81no—
1373C22×C4—81no—
1374C22×C4—81no—
1375C22×C4—81no—
1376C22×C4—81no—
1377C22×C4—81no—
1378C22×C4—81no—
1379C22×C4—81no—
1380C22×C4C22×D411yescharacteristic
1381C22×C4C22×D411yescharacteristic
1382C22×C4C22×D411yescharacteristic
1383C22×C4C22×D411yescharacteristic
1384C22×C4C22×D411yescharacteristic
1385C22×C4C22×D411yescharacteristic
1386C22×C4C22×D411yescharacteristic
1387C22×C4C22×D411yescharacteristic
1388C22×C4C22×D412yes—
1389C22×C4C22×D412yes—
1390C22×C4C22×D411yescharacteristic
1391C22×C4C22×D411yescharacteristic
1392C22×C4H(5,𝔽2)12yes—
1393C22×C4H(5,𝔽2)12yes—
1394C22×C4C2511yescharacteristic
1395Q16—44no—
1396SD16—28no—
1397SD16—44no—
1398SD16—44no—
1399SD16—44no—
1400SD16—44no—
1401SD16—44no—
1402SD16—44no—
1403D8—28no—
1404D8—44no—
1405D8—44no—
1406D8—44no—
1407D8—44no—
1408D8—44no—
1409D8—44no—
1410D8—44no—
1411D8—44no—
1412D8—44no—
1413D8—82no—
1414D8—82no—
1415M16—44no—
1416M16—44no—
1417M16—44no—
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—21no—
1432C2×C8—21no—
1433C2×C8—21no—
1434C2×C8—21no—
1435C2×C8—21no—
1436C2×C8—21no—
1437C2×C8—21no—
1438C2×C8—44no—
1439C2×C8—44no—
1440C2×C8C22×D412yes—
1441C2×C8C22×D412yes—
1442C2×C8C22×D412yes—
1443C2×C8C22×D412yes—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—41no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—81no—
1466C4⋊C4C22×D412yes—
1467C4⋊C4C22×D412yes—
1468C22⋊C4—24no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
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—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—81no—
1510C22⋊C4—81no—
1511C22⋊C4—81no—
1512C22⋊C4—81no—
1513C22⋊C4—81no—
1514C22⋊C4—81no—
1515C22⋊C4—81no—
1516C22⋊C4—81no—
1517C22⋊C4—81no—
1518C22⋊C4—81no—
1519C22⋊C4—81no—
1520C22⋊C4—81no—
1521C22⋊C4—81no—
1522C22⋊C4—81no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—42no—
1530C42—42no—
1531C42—42no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—22no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—22no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—48no—
1565C23—48no—
1566C23—48no—
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—41no—
1605C23—41no—
1606C23—41no—
1607C23—41no—
1608C23—41no—
1609C23—41no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23—84no—
1619C23—84no—
1620C23—162no—
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—
1639C23—162no—
1640C23—162no—
1641C23—162no—
1642C23D4212yes—
1643C23D4212yes—
1644C23C23×D411yescharacteristic
1645Q8—22no—
1646Q8—22no—
1647Q8—22no—
1648Q8—22no—
1649Q8—44no—
1650Q8—41no—
1651Q8—41no—
1652Q8—41no—
1653Q8—41no—
1654D4—22no—
1655D4—22no—
1656D4—22no—
1657D4—22no—
1658D4—22no—
1659D4—22no—
1660D4—22no—
1661D4—22no—
1662D4—22no—
1663D4—44no—
1664D4—48no—
1665D4—44no—
1666D4—44no—
1667D4—48no—
1668D4—44no—
1669D4—44no—
1670D4—48no—
1671D4—48no—
1672D4—48no—
1673D4—48no—
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—41no—
1688D4—41no—
1689D4—41no—
1690D4—41no—
1691D4—41no—
1692D4—84no—
1693D4—84no—
1694D4—84no—
1695D4—84no—
1696D4—82no—
1697D4—84no—
1698D4—84no—
1699D4—84no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—162no—
1706D4—162no—
1707D4—162no—
1708D4—162no—
1709D4—162no—
1710D4—162no—
1711D4—162no—
1712D4—162no—
1713D4—162no—
1714D4—162no—
1715D4—162no—
1716D4—162no—
1717D4—162no—
1718D4D4214yes—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—48no—
1758C2×C4—48no—
1759C2×C4—48no—
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—41no—
1786C2×C4—41no—
1787C2×C4—41no—
1788C2×C4—41no—
1789C2×C4—41no—
1790C2×C4—41no—
1791C2×C4—84no—
1792C2×C4—84no—
1793C2×C4—84no—
1794C2×C4—84no—
1795C2×C4—162no—
1796C2×C4—162no—
1797C2×C4—162no—
1798C2×C4D4212yes—
1799C2×C4D4212yes—
1800C2×C4#57612yes—
1801C2×C4#57612yes—
1802C2×C4C23×D411yescharacteristic
1803C2×C4C23×D411yescharacteristic
1804C2×C4C2×H(5,𝔽2)11yescharacteristic
1805C2×C4C2×H(5,𝔽2)11yescharacteristic
1806C2×C4C2×H(5,𝔽2)11yescharacteristic
1807C2×C4C2×H(5,𝔽2)11yescharacteristic
1808C8—22no—
1809C8—22no—
1810C8—22no—
1811C8—22no—
1812C8—41no—
1813C8—41no—
1814C8—41no—
1815C8—41no—
1816C22—22no—
1817C22—22no—
1818C22—24no—
1819C22—22no—
1820C22—22no—
1821C22—22no—
1822C22—22no—
1823C22—42no—
1824C22—41no—
1825C22—41no—
1826C22—42no—
1827C22—41no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—42no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—41no—
1840C22—41no—
1841C22—42no—
1842C22—41no—
1843C22—42no—
1844C22—42no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—42no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—42no—
1857C22—42no—
1858C22—41no—
1859C22—41no—
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—81no—
1891C22—81no—
1892C22—81no—
1893C22—168no—
1894C22—168no—
1895C22—168no—
1896C22—168no—
1897C22—168no—
1898C22C2×D4211yescharacteristic
1899C22C2×D4211yescharacteristic
1900C22#348411yescharacteristic
1901C22C2×#57611yescharacteristic
1902C22C2×#57611yescharacteristic
1903C22#358411yescharacteristic
1904C22#358511yescharacteristic
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—41no—
1910C4—41no—
1911C4—42no—
1912C4—42no—
1913C4—41no—
1914C4—41no—
1915C4—42no—
1916C4—41no—
1917C4—42no—
1918C4—41no—
1919C4—81no—
1920C4—81no—
1921C4—81no—
1922C4—81no—
1923C4—81no—
1924C4C2×D4211yescharacteristic
1925C4#348411yescharacteristic
1926C4#348411yescharacteristic
1927C4#353211yescharacteristic
1928C2—42no—
1929C2—42no—
1930C2—44no—
1931C2—81no—
1932C2—81no—
1933C2—82no—
1934C2—82no—
1935C2—82no—
1936C2—161no—
1937C2—161no—
1938C2—161no—
1939C2#5899011yescharacteristic
1940C2#6107211yescharacteristic
1941C2#6107711yescharacteristic
1942C2#6108411yescharacteristic
1943C2#6108911yescharacteristic
1944C2#6160911yescharacteristic
1945C2#6165711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ 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×#3273C2semidirect
3. C2×#3012C2semidirect
4. C2×#3008C2semidirect
5. #44886C2semidirect
6. #35680C2semidirect
7. #31060C2semidirect
8. #30515C2semidirect
9. #30458C2semidirect
10. #30447C2semidirect
11. #25779C2semidirect
12. #25777C2semidirect
13. #25757C2semidirect
14. #25152C2semidirect
15. #25148C2semidirect
16. #25139C2semidirect
17. #25132C2semidirect
18. #25106C2semidirect
19. #25093C2semidirect
20. #24428C2semidirect
21. #24424C2semidirect
22. #24391C2semidirect
23. #24390C2semidirect
24. #24372C2semidirect
25. #24366C2semidirect
26. #23860C2semidirect
27. #23857C2semidirect
28. #23851C2semidirect
29. #22876C2semidirect
30. #22870C2semidirect
31. #22853C2semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C22×AGL(1,ℤ/8)C22semidirect
36. C22×#135C22semidirect
37. C23×D8C22semidirect
38. C2×#550C22semidirect
40. C2×#546C22semidirect
41. C2×D42C22semidirect
42. C2×D42C22semidirect
43. C2×#537C22semidirect
44. C2×#535C22semidirect
47. C2×#495C22semidirect
48. C2×#493C22semidirect
49. C2×#493C22semidirect
50. C2×#469C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#466C22semidirect
55. C2×#466C22semidirect
56. C2×#460C22semidirect
57. C2×#463C22semidirect
58. C2×#463C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
64. C2×#452C22semidirect
65. C2×#452C22semidirect
67. C2×#449C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
70. C2×#449C22semidirect
71. C2×#449C22semidirect
72. C2×#449C22semidirect
73. C2×#449C22semidirect
74. C2×#449C22semidirect
75. C2×#450C22semidirect
76. C2×#450C22semidirect
81. C2×#447C22semidirect
82. C2×#447C22semidirect
83. C2×#447C22semidirect
84. C2×#447C22semidirect
85. C2×#447C22semidirect
86. C2×C4×SD16C22semidirect
87. C2×C4×D8C22semidirect
88. C2×#436C22semidirect
89. C2×#436C22semidirect
90. C2×#417C22semidirect
91. C2×#418C22semidirect
93. C22×#102C22semidirect
94. C2×#408C22semidirect
95. C2×#408C22semidirect
103. #2541C22semidirect
106. #2433C22semidirect
107. #2431C22semidirect
108. #2431C22semidirect
109. #2431C22semidirect
111. #2428C22semidirect
112. #2426C22semidirect
115. #2416C22semidirect
116. #2414C22semidirect
120. #2407C22semidirect
121. #2407C22semidirect
122. #2407C22semidirect
128. #2362C22semidirect
129. #2361C22semidirect
131. D4×C22⋊C4C22semidirect
132. D4×C22⋊C4C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2055C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2054C22semidirect
139. #2042C22semidirect
140. #2041C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2034C22semidirect
144. #2033C22semidirect
145. #2033C22semidirect
146. #2033C22semidirect
147. #2014C22semidirect
148. #2014C22semidirect
149. #2014C22semidirect
150. #2012C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2011C22semidirect
154. #2011C22semidirect
155. #2011C22semidirect
156. #2011C22semidirect
157. #2000C22semidirect
158. #2000C22semidirect
159. #1999C22semidirect
160. #1999C22semidirect
161. #1999C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1970C22semidirect
167. #1970C22semidirect
168. #1970C22semidirect
169. #1969C22semidirect
170. #1954C22semidirect
171. #1934C22semidirect
172. #1933C22semidirect
173. #1927C22semidirect
174. #1925C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
179. #1895C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
182. #1880C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1879C22semidirect
187. #1879C22semidirect
188. #1878C22semidirect
189. #1877C22semidirect
190. #1875C22semidirect
191. #1874C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1862C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
200. #1851C22semidirect
201. #1788C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. C4×#102C22semidirect
205. C8×C22⋊C4C22semidirect
206. C8×C22⋊C4C22semidirect
369. #452D4semidirect
389. #447D4semidirect
724. C2×Q16C2×D4semidirect
782. C2×D8C2×D4semidirect
830. C22⋊Q8C2×D4semidirect
867. #121C2×D4semidirect
998. #103C2×D4semidirect
1023. #102C2×D4semidirect
1033. C22⋊C8C2×D4semidirect
1034. C22⋊C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32742
C2×#32732
C2×#30122
C2×#30082
#448862
#356802
#310602
#305152
#304582
#304472
#257792
#257772
#257572
#251522
#251482
#251392
#251322
#251062
#250932
#244282
#244242
#243912
#243902
#243722
#243662
#238602
#238572
#238512
#228762
#228702
#228532