Finite Group Databasebeta

← #7514097

Subgroups — #7514097

Order 512.

3301 conjugacy classes of subgroups.

The subgroup lattice has 1827 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3278C211yesmaximal, characteristic, complemented
2C2×#3277C211yesmaximal, characteristic, complemented
3C2×#3007C211yesmaximal, characteristic, complemented
4C2×#3005C211yesmaximal, characteristic, complemented
5#59005C211yesmaximal, characteristic, complemented
6#36429C211yesmaximal, characteristic, complemented
7#31067C211yesmaximal, characteristic, complemented
8#30513C211yesmaximal, characteristic, complemented
9#30459C211yesmaximal, characteristic, complemented
10#30458C211yesmaximal, characteristic, complemented
11#25797C211yesmaximal, characteristic, complemented
12#25791C211yesmaximal, characteristic, complemented
13#25765C211yesmaximal, characteristic, complemented
14#25163C211yesmaximal, characteristic, complemented
15#25151C211yesmaximal, characteristic, complemented
16#25139C211yesmaximal, characteristic, complemented
17#25136C211yesmaximal, characteristic, complemented
18#25102C211yesmaximal, characteristic, complemented
19#25093C211yesmaximal, characteristic, complemented
20#24451C211yesmaximal, characteristic, complemented
21#24447C211yesmaximal, characteristic, complemented
22#24388C211yesmaximal, characteristic, complemented
23#24387C211yesmaximal, characteristic, complemented
24#24375C211yesmaximal, characteristic, complemented
25#24369C211yesmaximal, characteristic, complemented
26#23870C211yesmaximal, characteristic, complemented
27#23868C211yesmaximal, characteristic, complemented
28#23866C211yesmaximal, characteristic, complemented
29#22881C211yesmaximal, characteristic, complemented
30#22879C211yesmaximal, characteristic, complemented
31#22852C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic
35C22×#137C2211yescharacteristic
36C22×#137C2211yescharacteristic, complemented
37C22×AGL(1,ℤ/8)C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic, complemented
41C2×#548C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45#3278—28no—
46#3277—28no—
47C2×#496C2211yescharacteristic, complemented
48C2×#495C2211yescharacteristic, complemented
49C2×#492C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#468C2211yescharacteristic
52C2×#468C2211yescharacteristic
53C2×#468C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#464C2211yescharacteristic, complemented
58C2×#464C2211yescharacteristic, complemented
59C2×#462C2211yescharacteristic, complemented
60C2×#460C2211yescharacteristic, complemented
61#3007—28no—
62#3005—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic
69C2×#452C2211yescharacteristic
70C2×#452C2211yescharacteristic
71C2×#452C2211yescharacteristic, complemented
72C2×#449C2211yescharacteristic
73C2×#449C2211yescharacteristic
74C2×#449C2211yescharacteristic
75C2×#449C2211yescharacteristic
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic, complemented
78C2×#451C2211yescharacteristic
79C2×#451C2211yescharacteristic
80C2×#451C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×C4×Q16C2211yescharacteristic, complemented
87C2×C4×Q16C2211yescharacteristic, complemented
88C2×#436C2211yescharacteristic
89C2×#436C2211yescharacteristic, complemented
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C2×#419C2211yescharacteristic
93C2×#418C2211yescharacteristic
94C2×#407C2211yescharacteristic
95C2×#407C2211yescharacteristic
96#2847—21no—
97#2847C2211yescharacteristic
98#2681—21no—
99#2674—21no—
100#2540C2211yescharacteristic, complemented
101#2472—21no—
102#2463—21no—
103#2452—21no—
104#2449—21no—
105#2436C2211yescharacteristic, complemented
106#2433—21no—
107#2433C2211yescharacteristic
108#2432C2211yescharacteristic
109#2431—21no—
110#2431—21no—
111#2431C2211yescharacteristic
112#2431C2211yescharacteristic
113#2429C2211yescharacteristic, complemented
114#2426C2211yescharacteristic, complemented
115#2424—21no—
116#2416C2211yescharacteristic, complemented
117#2415C2211yescharacteristic
118#2409C2211yescharacteristic, complemented
119#2408—21no—
120#2408C2211yescharacteristic
121#2407—21no—
122#2407—21no—
123#2407C2211yescharacteristic
124#2407C2211yescharacteristic
125#2362C2211yescharacteristic
126#2361—21no—
127#2360C2211yescharacteristic, complemented
128#2341C2211yescharacteristic
129#2341C2211yescharacteristic
130Q8×C22⋊C4C2211yescharacteristic
131C4×#120—21no—
132C4×#120C2211yescharacteristic
133#2067C2211yescharacteristic, complemented
134#2067C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2055C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2042C2211yescharacteristic, complemented
140#2041C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2036C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2034C2211yescharacteristic, complemented
146#2033C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2015C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2014C2211yescharacteristic, complemented
152#2013C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2011C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2000C2211yescharacteristic, complemented
159#2000C2211yescharacteristic, complemented
160#2000C2211yescharacteristic, complemented
161#2000C2211yescharacteristic, complemented
162#1999C2211yescharacteristic, complemented
163#1999C2211yescharacteristic, complemented
164#1999C2211yescharacteristic, complemented
165#1982C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1971C2211yescharacteristic, complemented
168#1970C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1933C2211yescharacteristic, complemented
173#1928C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1895C2211yescharacteristic, complemented
179#1894C2211yescharacteristic
180#1894C2211yescharacteristic
181#1894C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1880C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1875C2211yescharacteristic
191#1874C2211yescharacteristic, complemented
192#1870C2211yescharacteristic
193#1870C2211yescharacteristic, complemented
194#1870C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1854C2211yescharacteristic
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic
200#1851C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1788C2211yescharacteristic, complemented
203#1787C2211yescharacteristic, complemented
204#1763C2211yescharacteristic, complemented
205#1753C2211yescharacteristic
206#1753C2211yescharacteristic, complemented
207C22×#41—21no—
208C22×#41—21no—
209C22×#41—24no—
210C22×#41—24no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41—42no—
214C22×#41—42no—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C22×#41C2311yescharacteristic
220C22×#41C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4—21no—
225C23×D4C2311yescharacteristic
226C24×C4—21no—
227C24×C4C2311yescharacteristic
228C2×#137—24no—
229C2×#137—24no—
230C2×#137—24no—
231C2×#137—24no—
232C2×#137—24no—
233C2×#137—24no—
234C2×#137—24no—
235C2×#137—42no—
236C2×#137—42no—
237C2×#137—42no—
238C2×#137—42no—
239C2×#137—42no—
240C2×AGL(1,ℤ/8)—24no—
241C2×AGL(1,ℤ/8)—42no—
242C2×AGL(1,ℤ/8)—42no—
243C22×Q16C2311yescharacteristic
244C22×Q16C2311yescharacteristic
245C22×Q16C2311yescharacteristic
246C22×Q16C2311yescharacteristic
247C22×Q16C2311yescharacteristic
248C22×Q16C2311yescharacteristic
249C22×SD16C2311yescharacteristic
250C22×SD16C2311yescharacteristic
251C22×SD16C2311yescharacteristic
252C22×SD16C2311yescharacteristic
253C22×SD16C2311yescharacteristic
254C22×SD16C2311yescharacteristic
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×D8C2311yescharacteristic
261C22×D8C2311yescharacteristic
262C22×D8C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C22×M16C2311yescharacteristic
266C22×M16C2311yescharacteristic
267C22×M16C2311yescharacteristic
268#550—24no—
269#550—42no—
270#550—42no—
271#550—42no—
272D4×Q8—24no—
273D4×Q8—42no—
274#548—24no—
275#548—24no—
276#548—42no—
277#548—42no—
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8C2311yescharacteristic
280C2×#127—21no—
281C2×#127—21no—
282C2×#127C2311yescharacteristic
283C2×#127C2311yescharacteristic
284C2×#124—21no—
285C2×#124—21no—
286C2×#124C2311yescharacteristic
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289#525—24no—
290#525—42no—
291C2×#123—21no—
292C2×C22⋊Q8—21no—
293C2×C22⋊Q8—21no—
294C2×C22⋊Q8—21no—
295C2×C22⋊Q8—21no—
296C2×C22⋊Q8—21no—
297C2×C22⋊Q8—21no—
298C2×C22⋊Q8—24no—
299C2×C22⋊Q8—42no—
300C2×C22⋊Q8C2311yescharacteristic
301C2×C22⋊Q8C2311yescharacteristic
302C2×C22⋊Q8C2311yescharacteristic
303C2×C22⋊Q8C2311yescharacteristic
304C2×C22⋊Q8C2311yescharacteristic
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×#121—21no—
309C2×#121—21no—
310C2×#121—21no—
311C2×#121—21no—
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121C2311yescharacteristic
316C2×#121C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×#121C2311yescharacteristic
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#120—21no—
324C2×#120—21no—
325C2×#120—21no—
326C2×#120—21no—
327C2×#120—21no—
328C2×#120D411yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×D4—21no—
335C2×C4×D4—21no—
336C2×C4×D4—21no—
337C2×C4×D4—21no—
338C2×C4×D4—21no—
339C2×C4×D4—21no—
340C2×C4×D4—21no—
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×#117C2311yescharacteristic
345C22×C4⋊C4—21no—
346C22×C4⋊C4C2311yescharacteristic
347C22×C22⋊C4—21no—
348#496—42no—
349#495—24no—
350#492—24no—
351#469—42no—
352#468—24no—
353#468—24no—
354#468—24no—
355#468—24no—
356#468—42no—
357#464—24no—
358#464—24no—
359#464—42no—
360#462—24no—
361#460—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#452—24no—
369#452—24no—
370#452D418yescomplemented
371#451—24no—
372#451—24no—
373#451D418yescomplemented
374#450—24no—
375#450—24no—
376#449—24no—
377#449—24no—
378#449—24no—
379#449—24no—
380#449—24no—
381#449—24no—
382#448—24no—
383#448—24no—
384#448—42no—
385C4×Q16—24no—
386C4×Q16—24no—
387#436—24no—
388#436—24no—
389C2×#107C2311yescharacteristic
390C2×#107C2311yescharacteristic
391C2×#107C2311yescharacteristic
392C2×#106C2311yescharacteristic
393C2×C4⋊C8C2311yescharacteristic
394C2×C4⋊C8C2311yescharacteristic
395C2×C4⋊C8C2311yescharacteristic
396#419—24no—
397#418—24no—
398#417—24no—
399#417—24no—
400C2×#103C2311yescharacteristic
401C2×#103C2311yescharacteristic
402C2×#103C2311yescharacteristic
403C2×#103C2311yescharacteristic
404C2×#103C2311yescharacteristic
405C2×#103C2311yescharacteristic
406C2×#103C2311yescharacteristic
407C2×#103C2311yescharacteristic
408C2×#103C2311yescharacteristic
409C2×#103C2311yescharacteristic
410C2×#103C2311yescharacteristic
411C2×#103C2311yescharacteristic
412C2×#103C2311yescharacteristic
413C2×#103C2311yescharacteristic
414C2×#103C2311yescharacteristic
415C2×#103C2311yescharacteristic
416C2×#103C2311yescharacteristic
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
432#407—24no—
433#407—24no—
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×C22⋊C8C2311yescharacteristic
442C2×C22⋊C8C2311yescharacteristic
443C2×C22⋊C8C2311yescharacteristic
444C2×C22⋊C8C2311yescharacteristic
445C2×#97C2311yescharacteristic
446C2×C4×C8C2311yescharacteristic
447C2×C4×C8C2311yescharacteristic
448#399—21no—
449#398—21no—
450#397—21no—
451#396—21no—
452#396—21no—
453#396—21no—
454#395—21no—
455#394—21no—
456#394—21no—
457#394—21no—
458#394—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#393—21no—
464#393—21no—
465#393—21no—
466#392—21no—
467#392—21no—
468#392—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#392—21no—
473#392—21no—
474#392—21no—
475#392—21no—
476#391—21no—
477#391—21no—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#390—21no—
484#390—21no—
485#390—21no—
486#390—21no—
487#390—21no—
488#390—21no—
489#390—21no—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2311yescharacteristic
494#390C2311yescharacteristic
495#389—21no—
496#389—21no—
497#389—21no—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#388—21no—
501#388—21no—
502#388—21no—
503#388—21no—
504#388—21no—
505#387—21no—
506#387—21no—
507#386—21no—
508#386—21no—
509#386—21no—
510#386—21no—
511#386—21no—
512#386—21no—
513#386—21no—
514#386—21no—
515#386—21no—
516#386—21no—
517#386—21no—
518#386—21no—
519#386—21no—
520#386D411yescharacteristic
521#386D411yescharacteristic
522#386D411yescharacteristic
523#385—21no—
524#385—21no—
525#385—21no—
526#385—21no—
527#385—21no—
528#385—21no—
529#385D411yescharacteristic
530#385D411yescharacteristic
531#385D411yescharacteristic
532#380—21no—
533#380—21no—
534#380—21no—
535#380C2311yescharacteristic
536#380C2311yescharacteristic
537#380C2311yescharacteristic
538#380C2311yescharacteristic
539#379—21no—
540#379D411yescharacteristic
541C4×C4⋊C4—21no—
542C4×C4⋊C4C2311yescharacteristic
543C4×C22⋊C4—21no—
544C4×C22⋊C4—21no—
545C4×C22⋊C4—21no—
546C4×C22⋊C4—21no—
547C4×C22⋊C4C2311yescharacteristic
548C4×C22⋊C4C2311yescharacteristic
549C4×C22⋊C4C2311yescharacteristic
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—
565C25C2×D411yescharacteristic
566C2×#41—22no—
567C2×#41—22no—
568C2×#41—22no—
569C2×#41—22no—
570C2×#41—22no—
571C2×#41—22no—
572C2×#41—22no—
573C2×#41—22no—
574C2×#41—22no—
575C2×#41—22no—
576C2×#41—22no—
577C2×#41—22no—
578C2×#41—22no—
579C2×#41—22no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—44no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—41no—
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—44no—
601C2×#41—44no—
602C2×#41—44no—
603C2×#41—44no—
604C2×#41—41no—
605C2×#41—41no—
606C2×#41—44no—
607C2×#41—416no—
608C2×#41—416no—
609C2×#41—416no—
610C2×#41—416no—
611C2×#41C2×D414yes—
612C22×Q8—21no—
613C22×Q8—21no—
614C22×Q8—21no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—22no—
620C22×Q8—22no—
621C22×Q8—22no—
622C22×Q8—22no—
623C22×Q8—41no—
624C22×Q8—41no—
625C22×Q8—41no—
626C22×Q8—41no—
627C22×Q8—41no—
628C22×Q8—41no—
629C22×Q8—41no—
630C22×Q8—41no—
631C22×Q8—41no—
632C22×Q8C2×D414yes—
633C22×Q8C2411yescharacteristic
634C22×Q8C2411yescharacteristic
635C22×Q8C2411yescharacteristic
636C22×Q8C2411yescharacteristic
637C22×Q8C2411yescharacteristic
638C22×D4—22no—
639C22×D4—22no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—22no—
655C22×D4—21no—
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—22no—
661C22×D4—41no—
662C22×D4—41no—
663C22×D4—44no—
664C22×D4—44no—
665C22×D4—44no—
666C22×D4C2×D411yescharacteristic
667C22×D4C2×D411yescharacteristic
668C22×D4C2×D411yescharacteristic
669C22×D4C2411yescharacteristic
670C22×D4C2411yescharacteristic
671C22×D4C2411yescharacteristic
672C22×D4C2411yescharacteristic
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4—22no—
677C23×C4—22no—
678C23×C4—22no—
679C23×C4—22no—
680C23×C4—21no—
681C23×C4—21no—
682C23×C4—21no—
683C23×C4—21no—
684C23×C4—21no—
685C23×C4—21no—
686C23×C4—21no—
687C23×C4—41no—
688C23×C4—41no—
689C23×C4—44no—
690C23×C4—44no—
691C23×C4—44no—
692C23×C4C2×D411yescharacteristic
693C23×C4C2×D411yescharacteristic
694C23×C4C2×D411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699#137—416no—
700#137—416no—
701#137—416no—
702#137—416no—
703AGL(1,ℤ/8)—416no—
704C2×Q16—22no—
705C2×Q16—22no—
706C2×Q16—22no—
707C2×Q16—22no—
708C2×Q16—22no—
709C2×Q16—22no—
710C2×Q16—22no—
711C2×Q16—22no—
712C2×Q16—22no—
713C2×Q16—22no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×Q16C2×D414yes—
720C2×Q16C2×D414yes—
721C2×Q16C2×D414yes—
722C2×SD16—22no—
723C2×SD16—22no—
724C2×SD16—22no—
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—22no—
739C2×SD16—22no—
740C2×SD16—22no—
741C2×SD16—22no—
742C2×SD16—41no—
743C2×SD16—41no—
744C2×SD16—41no—
745C2×SD16—41no—
746C2×SD16—41no—
747C2×SD16—41no—
748C2×SD16—41no—
749C2×SD16—41no—
750C2×SD16—41no—
751C2×SD16—41no—
752C2×SD16—41no—
753C2×SD16—41no—
754C2×SD16C2×D414yes—
755C2×D8—22no—
756C2×D8—22no—
757C2×D8—22no—
758C2×D8—22no—
759C2×D8—41no—
760C2×D8—41no—
761C2×D8—41no—
762C2×D8—41no—
763C2×D8—41no—
764C2×M16—22no—
765C2×M16—22no—
766C2×M16—22no—
767C2×M16—22no—
768C2×M16—22no—
769C2×M16—22no—
770C2×M16—22no—
771C2×M16—22no—
772C2×M16—22no—
773C2×M16—22no—
774C2×M16—41no—
775C2×M16—41no—
776C2×M16—41no—
777C2×M16—41no—
778C2×M16—41no—
779C22×C8C2411yescharacteristic
780C22×C8C2411yescharacteristic
781C22×C8C2411yescharacteristic
782C22×C8C2411yescharacteristic
783C22×C8C2411yescharacteristic
784C22×C8C2411yescharacteristic
785C22×C8C2411yescharacteristic
786C22×C8C2411yescharacteristic
787C4⋊Q8—22no—
788C4⋊Q8—41no—
789C4⋊Q8—44no—
790#127—22no—
791#127—22no—
792#127—41no—
793#127—41no—
794#127—44no—
795#127—44no—
796#124—22no—
797#124—22no—
798#124—41no—
799#124—41no—
800#124—41no—
801#124—41no—
802#124—44no—
803#124—44no—
804#123—44no—
805C22⋊Q8—22no—
806C22⋊Q8—22no—
807C22⋊Q8—22no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—22no—
813C22⋊Q8—22no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—41no—
819C22⋊Q8—41no—
820C22⋊Q8—41no—
821C22⋊Q8—41no—
822C22⋊Q8—41no—
823C22⋊Q8—44no—
824C22⋊Q8—44no—
825C22⋊Q8C2×D414yes—
826C22⋊Q8C2×D414yes—
827#121—22no—
828#121—22no—
829#121—22no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—44no—
838#121—44no—
839#121—44no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—44no—
847#121—44no—
848#121—44no—
849#121—44no—
850#120—42no—
851#120—44no—
852#120—44no—
853#120—82no—
854#120—82no—
855#120—82no—
856C4×Q8—22no—
857C4×Q8—22no—
858C4×Q8—22no—
859C4×Q8—22no—
860C4×Q8—22no—
861C4×Q8—41no—
862C4×Q8—41no—
863C4×Q8—41no—
864C4×Q8—41no—
865C4×Q8—41no—
866C4×D4—22no—
867C4×D4—22no—
868C4×D4—22no—
869C4×D4—22no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—44no—
877C4×D4—44no—
878C4×D4—44no—
879#117—22no—
880#117—41no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—22no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—41no—
901C2×C4⋊C4—44no—
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C22⋊C4—21no—
913C2×C22⋊C4—21no—
914C2×C22⋊C4—21no—
915C2×C22⋊C4—21no—
916C2×C22⋊C4—21no—
917C2×C22⋊C4—21no—
918C2×C22⋊C4—21no—
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—44no—
950C2×C22⋊C4C2×D411yescharacteristic
951C2×C22⋊C4C2×D411yescharacteristic
952C2×C22⋊C4C2×D411yescharacteristic
953C2×C22⋊C4C2×D411yescharacteristic
954C2×C22⋊C4C2×D411yescharacteristic
955C2×C22⋊C4C2×D411yescharacteristic
956C2×C22⋊C4C2×D411yescharacteristic
957C2×C22⋊C4C2×D411yescharacteristic
958C2×C22⋊C4C2×D411yescharacteristic
959C2×C22⋊C4C2×D411yescharacteristic
960C2×C22⋊C4C2×D411yescharacteristic
961C2×C22⋊C4C2×D411yescharacteristic
962C2×C42—21no—
963C2×C42—21no—
964C2×C42—21no—
965C2×C42—21no—
966C2×C42—21no—
967C2×C42—21no—
968C2×C42—21no—
969C2×C42C2411yescharacteristic
970C2×C42C2411yescharacteristic
971C2×C42C2411yescharacteristic
972#107—22no—
973#107—22no—
974#107—41no—
975#106—41no—
976C4⋊C8—22no—
977C4⋊C8—22no—
978C4⋊C8—41no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—22no—
987#103—22no—
988#103—22no—
989#103—41no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103C2×D414yes—
994#103C2×D414yes—
995#103C2×D414yes—
996#102—22no—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102—22no—
1005#102—22no—
1006#102—41no—
1007#102—41no—
1008#102—41no—
1009#102—41no—
1010#102C2×D414yes—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—22no—
1014C22⋊C8—22no—
1015C22⋊C8—22no—
1016C22⋊C8—22no—
1017C22⋊C8—22no—
1018C22⋊C8—22no—
1019C22⋊C8—41no—
1020C22⋊C8C2×D414yes—
1021C22⋊C8C2×D414yes—
1022#97—41no—
1023C4×C8—22no—
1024C4×C8—22no—
1025#95—21no—
1026#95—21no—
1027#95—21no—
1028#95—21no—
1029#95—21no—
1030#95—21no—
1031#95—21no—
1032#95—21no—
1033#95—21no—
1034#95—21no—
1035#95—21no—
1036#95—21no—
1037#95—21no—
1038#95—21no—
1039#95—21no—
1040#95—21no—
1041#95—21no—
1042#95C2×D411yescharacteristic
1043#95C2×D411yescharacteristic
1044#95C2×D411yescharacteristic
1045#95C2×D411yescharacteristic
1046#95C2×D411yescharacteristic
1047#95C2×D411yescharacteristic
1048C24—21no—
1049C24—21no—
1050C24—22no—
1051C24—22no—
1052C24—21no—
1053C24—21no—
1054C24—41no—
1055C24—41no—
1056C24—41no—
1057C24—41no—
1058C24—41no—
1059C24—42no—
1060C24—42no—
1061C24—42no—
1062C24—42no—
1063C24—42no—
1064C24—81no—
1065C24—81no—
1066C24C22×D411yescharacteristic
1067C24C22×D411yescharacteristic
1068C24C22×D411yescharacteristic
1069C24C22×D411yescharacteristic
1070#41—28no—
1071#41—28no—
1072#41—44no—
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—44no—
1077#41—44no—
1078#41—44no—
1079#41—44no—
1080#41—44no—
1081#41—44no—
1082#41—44no—
1083#41—44no—
1084#41—44no—
1085#41—44no—
1086#41—432no—
1087#41—432no—
1088#41—44no—
1089#41—44no—
1090#41—44no—
1091#41—82no—
1092#41—82no—
1093#41—82no—
1094#41—82no—
1095#41—82no—
1096C2×Q8—24no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—28no—
1104C2×Q8—21no—
1105C2×Q8—21no—
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—42no—
1126C2×Q8—42no—
1127C2×Q8—44no—
1128C2×Q8—44no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—42no—
1133C2×Q8—44no—
1134C2×Q8—81no—
1135C2×Q8—81no—
1136C2×Q8—82no—
1137C2×Q8—82no—
1138C2×Q8—82no—
1139C2×Q8—82no—
1140C2×Q8—82no—
1141C2×Q8C22×D412yes—
1142C2×Q8C22×D412yes—
1143C2×Q8C22×D412yes—
1144C2×Q8C22×D412yes—
1145C2×Q8C22×D412yes—
1146C2×Q8H(5,𝔽2)12yes—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—22no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—22no—
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—44no—
1176C2×D4—44no—
1177C2×D4—41no—
1178C2×D4—42no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—44no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—432no—
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—42no—
1222C2×D4—42no—
1223C2×D4—81no—
1224C2×D4—81no—
1225C2×D4—81no—
1226C2×D4—81no—
1227C2×D4—81no—
1228C2×D4—81no—
1229C2×D4—81no—
1230C2×D4—81no—
1231C2×D4—81no—
1232C2×D4—81no—
1233C2×D4—81no—
1234C2×D4—81no—
1235C2×D4—81no—
1236C2×D4—81no—
1237C2×D4—81no—
1238C2×D4—81no—
1239C2×D4—81no—
1240C2×D4C22×D412yes—
1241C2×D4H(5,𝔽2)12yes—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—21no—
1250C22×C4—21no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—21no—
1256C22×C4—21no—
1257C22×C4—21no—
1258C22×C4—21no—
1259C22×C4—21no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—21no—
1266C22×C4—21no—
1267C22×C4—21no—
1268C22×C4—21no—
1269C22×C4—21no—
1270C22×C4—21no—
1271C22×C4—21no—
1272C22×C4—21no—
1273C22×C4—21no—
1274C22×C4—21no—
1275C22×C4—21no—
1276C22×C4—21no—
1277C22×C4—21no—
1278C22×C4—21no—
1279C22×C4—21no—
1280C22×C4—21no—
1281C22×C4—21no—
1282C22×C4—21no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—41no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—42no—
1309C22×C4—432no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—81no—
1315C22×C4—81no—
1316C22×C4—81no—
1317C22×C4—81no—
1318C22×C4C22×D411yescharacteristic
1319C22×C4C22×D411yescharacteristic
1320C22×C4C22×D411yescharacteristic
1321C22×C4C22×D411yescharacteristic
1322C22×C4C22×D411yescharacteristic
1323C22×C4C22×D411yescharacteristic
1324C22×C4C22×D411yescharacteristic
1325C22×C4C22×D411yescharacteristic
1326C22×C4C22×D411yescharacteristic
1327C22×C4C22×D412yes—
1328C22×C4C22×D412yes—
1329C22×C4C22×D411yescharacteristic
1330C22×C4H(5,𝔽2)12yes—
1331C22×C4H(5,𝔽2)12yes—
1332C22×C4C2511yescharacteristic
1333Q16—28no—
1334Q16—28no—
1335Q16—44no—
1336Q16—44no—
1337Q16—44no—
1338Q16—44no—
1339SD16—44no—
1340SD16—44no—
1341SD16—44no—
1342SD16—44no—
1343SD16—44no—
1344SD16—44no—
1345SD16—44no—
1346SD16—44no—
1347SD16—44no—
1348SD16—44no—
1349SD16—82no—
1350D8—44no—
1351D8—44no—
1352D8—82no—
1353M16—44no—
1354M16—44no—
1355M16—44no—
1356M16—44no—
1357M16—44no—
1358C2×C8—21no—
1359C2×C8—21no—
1360C2×C8—21no—
1361C2×C8—21no—
1362C2×C8—21no—
1363C2×C8—21no—
1364C2×C8—21no—
1365C2×C8—21no—
1366C2×C8—21no—
1367C2×C8—21no—
1368C2×C8—21no—
1369C2×C8—21no—
1370C2×C8—21no—
1371C2×C8—21no—
1372C2×C8—21no—
1373C2×C8—21no—
1374C2×C8—21no—
1375C2×C8—21no—
1376C2×C8—21no—
1377C2×C8—21no—
1378C2×C8C22×D412yes—
1379C2×C8C22×D412yes—
1380C2×C8C22×D412yes—
1381C2×C8C22×D412yes—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—21no—
1390C4⋊C4—21no—
1391C4⋊C4—21no—
1392C4⋊C4—21no—
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—41no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—81no—
1415C4⋊C4C22×D412yes—
1416C4⋊C4C22×D412yes—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—81no—
1456C22⋊C4—81no—
1457C22⋊C4—81no—
1458C22⋊C4—81no—
1459C22⋊C4—81no—
1460C22⋊C4—81no—
1461C22⋊C4—81no—
1462C22⋊C4—81no—
1463C22⋊C4—81no—
1464C22⋊C4—81no—
1465C22⋊C4—81no—
1466C42—21no—
1467C42—21no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—42no—
1473C42—42no—
1474C42—42no—
1475C42—42no—
1476C42—42no—
1477C42—42no—
1478C42—81no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—44no—
1508C23—48no—
1509C23—44no—
1510C23—41no—
1511C23—41no—
1512C23—41no—
1513C23—41no—
1514C23—41no—
1515C23—41no—
1516C23—41no—
1517C23—41no—
1518C23—41no—
1519C23—41no—
1520C23—41no—
1521C23—41no—
1522C23—41no—
1523C23—41no—
1524C23—41no—
1525C23—41no—
1526C23—41no—
1527C23—41no—
1528C23—41no—
1529C23—41no—
1530C23—41no—
1531C23—41no—
1532C23—41no—
1533C23—41no—
1534C23—41no—
1535C23—41no—
1536C23—82no—
1537C23—82no—
1538C23—82no—
1539C23—84no—
1540C23—84no—
1541C23—82no—
1542C23—82no—
1543C23—84no—
1544C23—84no—
1545C23—84no—
1546C23—84no—
1547C23D4212yes—
1548C23D4212yes—
1549C23C23×D411yescharacteristic
1550Q8—22no—
1551Q8—22no—
1552Q8—22no—
1553Q8—22no—
1554Q8—22no—
1555Q8—22no—
1556Q8—22no—
1557Q8—22no—
1558Q8—22no—
1559Q8—48no—
1560Q8—41no—
1561Q8—41no—
1562Q8—41no—
1563Q8—41no—
1564Q8—41no—
1565Q8—41no—
1566Q8—41no—
1567Q8—41no—
1568Q8—41no—
1569Q8—41no—
1570Q8—84no—
1571Q8—84no—
1572Q8D4214yes—
1573D4—22no—
1574D4—22no—
1575D4—22no—
1576D4—22no—
1577D4—44no—
1578D4—48no—
1579D4—48no—
1580D4—48no—
1581D4—48no—
1582D4—48no—
1583D4—41no—
1584D4—41no—
1585D4—41no—
1586D4—41no—
1587D4—41no—
1588D4—41no—
1589D4—41no—
1590D4—41no—
1591D4—41no—
1592D4—41no—
1593D4—41no—
1594D4—41no—
1595D4—84no—
1596D4—84no—
1597D4—82no—
1598D4—84no—
1599D4—82no—
1600D4—84no—
1601D4—84no—
1602D4—84no—
1603D4—84no—
1604D4—84no—
1605D4—162no—
1606D4—162no—
1607D4—162no—
1608D4—162no—
1609D4—162no—
1610D4—162no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—48no—
1659C2×C4—48no—
1660C2×C4—48no—
1661C2×C4—48no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—41no—
1669C2×C4—41no—
1670C2×C4—41no—
1671C2×C4—41no—
1672C2×C4—41no—
1673C2×C4—41no—
1674C2×C4—41no—
1675C2×C4—41no—
1676C2×C4—41no—
1677C2×C4—41no—
1678C2×C4—41no—
1679C2×C4—41no—
1680C2×C4—41no—
1681C2×C4—41no—
1682C2×C4—41no—
1683C2×C4—41no—
1684C2×C4—41no—
1685C2×C4—41no—
1686C2×C4—41no—
1687C2×C4—41no—
1688C2×C4—41no—
1689C2×C4—41no—
1690C2×C4—41no—
1691C2×C4—41no—
1692C2×C4—41no—
1693C2×C4—41no—
1694C2×C4—41no—
1695C2×C4—41no—
1696C2×C4—41no—
1697C2×C4—41no—
1698C2×C4—84no—
1699C2×C4—84no—
1700C2×C4—84no—
1701C2×C4—84no—
1702C2×C4—84no—
1703C2×C4D4212yes—
1704C2×C4D4212yes—
1705C2×C4#57512yes—
1706C2×C4C23×D411yescharacteristic
1707C2×C4C23×D411yescharacteristic
1708C2×C4C2×H(5,𝔽2)11yescharacteristic
1709C2×C4C2×H(5,𝔽2)11yescharacteristic
1710C2×C4C2×H(5,𝔽2)11yescharacteristic
1711C2×C4C2×H(5,𝔽2)11yescharacteristic
1712C8—22no—
1713C8—22no—
1714C8—22no—
1715C8—22no—
1716C8—41no—
1717C8—41no—
1718C8—41no—
1719C8—41no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—42no—
1735C22—42no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—42no—
1743C22—41no—
1744C22—42no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—42no—
1751C22—41no—
1752C22—41no—
1753C22—42no—
1754C22—88no—
1755C22—816no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—81no—
1767C22—81no—
1768C22—81no—
1769C22—81no—
1770C22—81no—
1771C22—81no—
1772C22—81no—
1773C22—81no—
1774C22—81no—
1775C22—81no—
1776C22—81no—
1777C22—81no—
1778C22C2×D4211yescharacteristic
1779C22C2×D4211yescharacteristic
1780C22#348411yescharacteristic
1781C22C2×#57511yescharacteristic
1782C22#358511yescharacteristic
1783C22#358611yescharacteristic
1784C22#358611yescharacteristic
1785C4—22no—
1786C4—22no—
1787C4—24no—
1788C4—22no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—41no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—81no—
1802C4—81no—
1803C4—81no—
1804C4—81no—
1805C4—81no—
1806C4—81no—
1807C4C2×D4211yescharacteristic
1808C4#348411yescharacteristic
1809C4#348411yescharacteristic
1810C4#353211yescharacteristic
1811C2—42no—
1812C2—42no—
1813C2—81no—
1814C2—81no—
1815C2—82no—
1816C2—82no—
1817C2—161no—
1818C2—161no—
1819C2#5899011yescharacteristic
1820C2#6106111yescharacteristic
1821C2#6106211yescharacteristic
1822C2#6106811yescharacteristic
1823C2#6107011yescharacteristic
1824C2#6158911yescharacteristic
1825C2#6165411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3278C2semidirect
2. C2×#3277C2semidirect
3. C2×#3007C2semidirect
4. C2×#3005C2semidirect
5. #59005C2semidirect
6. #36429C2semidirect
7. #31067C2semidirect
8. #30513C2semidirect
9. #30459C2semidirect
10. #30458C2semidirect
11. #25797C2semidirect
12. #25791C2semidirect
13. #25765C2semidirect
14. #25163C2semidirect
15. #25151C2semidirect
16. #25139C2semidirect
17. #25136C2semidirect
18. #25102C2semidirect
19. #25093C2semidirect
20. #24451C2semidirect
21. #24447C2semidirect
22. #24388C2semidirect
23. #24387C2semidirect
24. #24375C2semidirect
25. #24369C2semidirect
26. #23870C2semidirect
27. #23868C2semidirect
28. #23866C2semidirect
29. #22881C2semidirect
30. #22879C2semidirect
31. #22852C2semidirect
36. C22×#137C22semidirect
40. C2×D4×Q8C22semidirect
47. C2×#496C22semidirect
48. C2×#495C22semidirect
49. C2×#492C22semidirect
50. C2×#469C22semidirect
53. C2×#468C22semidirect
54. C2×#468C22semidirect
55. C2×#468C22semidirect
56. C2×#464C22semidirect
57. C2×#464C22semidirect
58. C2×#464C22semidirect
59. C2×#462C22semidirect
60. C2×#460C22semidirect
71. C2×#452C22semidirect
77. C2×#449C22semidirect
80. C2×#451C22semidirect
81. C2×#448C22semidirect
82. C2×#448C22semidirect
83. C2×#448C22semidirect
86. C2×C4×Q16C22semidirect
87. C2×C4×Q16C22semidirect
89. C2×#436C22semidirect
100. #2540C22semidirect
105. #2436C22semidirect
113. #2429C22semidirect
114. #2426C22semidirect
116. #2416C22semidirect
118. #2409C22semidirect
127. #2360C22semidirect
133. #2067C22semidirect
134. #2067C22semidirect
135. #2056C22semidirect
136. #2055C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2042C22semidirect
140. #2041C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2036C22semidirect
144. #2035C22semidirect
145. #2034C22semidirect
146. #2033C22semidirect
147. #2016C22semidirect
148. #2015C22semidirect
149. #2015C22semidirect
150. #2014C22semidirect
151. #2014C22semidirect
152. #2013C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2011C22semidirect
157. #2001C22semidirect
158. #2000C22semidirect
159. #2000C22semidirect
160. #2000C22semidirect
161. #2000C22semidirect
162. #1999C22semidirect
163. #1999C22semidirect
164. #1999C22semidirect
165. #1982C22semidirect
166. #1973C22semidirect
167. #1971C22semidirect
168. #1970C22semidirect
169. #1968C22semidirect
170. #1955C22semidirect
171. #1934C22semidirect
172. #1933C22semidirect
173. #1928C22semidirect
174. #1925C22semidirect
175. #1923C22semidirect
176. #1923C22semidirect
177. #1895C22semidirect
178. #1895C22semidirect
181. #1894C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1880C22semidirect
186. #1878C22semidirect
187. #1878C22semidirect
188. #1878C22semidirect
189. #1878C22semidirect
191. #1874C22semidirect
193. #1870C22semidirect
194. #1870C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
198. #1852C22semidirect
200. #1851C22semidirect
202. #1788C22semidirect
203. #1787C22semidirect
204. #1763C22semidirect
206. #1753C22semidirect
370. #452D4semidirect
373. #451D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32782
C2×#32772
C2×#30072
C2×#30052
#590052
#364292
#310672
#305132
#304592
#304582
#257972
#257912
#257652
#251632
#251512
#251392
#251362
#251022
#250932
#244512
#244472
#243882
#243872
#243752
#243692
#238702
#238682
#238662
#228812
#228792
#228522