Finite Group Databasebeta

← #7514227

Subgroups — #7514227

Order 512.

3253 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Q16C211yesmaximal, characteristic, complemented
2C2×#3270C211yesmaximal, characteristic, complemented
3C2×#3007C211yesmaximal, characteristic, complemented
4C22×#452C211yesmaximal, characteristic, complemented
5#58998C211yesmaximal, characteristic, complemented
6#36428C211yesmaximal, characteristic
7#31067C211yesmaximal, characteristic, complemented
8#30504C211yesmaximal, characteristic, complemented
9#30467C211yesmaximal, characteristic, complemented
10#30450C211yesmaximal, characteristic, complemented
11#25795C211yesmaximal, characteristic, complemented
12#25784C211yesmaximal, characteristic, complemented
13#25767C211yesmaximal, characteristic, complemented
14#25171C211yesmaximal, characteristic, complemented
15#25151C211yesmaximal, characteristic, complemented
16#25119C211yesmaximal, characteristic, complemented
17#25112C211yesmaximal, characteristic, complemented
18#25098C211yesmaximal, characteristic, complemented
19#25084C211yesmaximal, characteristic, complemented
20#24449C211yesmaximal, characteristic, complemented
21#24437C211yesmaximal, characteristic, complemented
22#24386C211yesmaximal, characteristic, complemented
23#24380C211yesmaximal, characteristic, complemented
24#24374C211yesmaximal, characteristic, complemented
25#24360C211yesmaximal, characteristic, complemented
26#23868C211yesmaximal, characteristic, complemented
27#23859C211yesmaximal, characteristic, complemented
28#23855C211yesmaximal, characteristic, complemented
29#22879C211yesmaximal, characteristic, complemented
30#22859C211yesmaximal, characteristic, complemented
31#22846C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic
34C22×#137C2211yescharacteristic
35C23×Q16C2211yescharacteristic
36C23×Q16C2211yescharacteristic, complemented
37C23×SD16C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×D4×Q8C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic, complemented
41C2×#548C2211yescharacteristic
42C2×#548C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45D4×Q16—28no—
46#3270—28no—
47C2×#497C2211yescharacteristic, complemented
48C2×#497C2211yescharacteristic, complemented
49C2×#494C2211yescharacteristic, complemented
50C2×#470C2211yescharacteristic, complemented
51C2×#470C2211yescharacteristic, complemented
52C2×#467C2211yescharacteristic
53C2×#467C2211yescharacteristic
54C2×#467C2211yescharacteristic, complemented
55C2×#465C2211yescharacteristic, complemented
56C2×#464C2211yescharacteristic, complemented
57C2×#462C2211yescharacteristic, complemented
58C2×#462C2211yescharacteristic, complemented
59C2×#462C2211yescharacteristic, complemented
60C2×#462C2211yescharacteristic, complemented
61#3007—28no—
62C2×#452—28no—
63C2×#452C2211yescharacteristic
64C2×#452C2211yescharacteristic
65C2×#452C2211yescharacteristic
66C2×#452C2211yescharacteristic
67C2×#452C2211yescharacteristic
68C2×#452C2211yescharacteristic
69C2×#452C2211yescharacteristic
70C2×#452C2211yescharacteristic
71C2×#452C2211yescharacteristic
72C2×#452C2211yescharacteristic
73C2×#452C2211yescharacteristic
74C2×#452C2211yescharacteristic
75C2×#451C2211yescharacteristic
76C2×#451C2211yescharacteristic
77C2×#451C2211yescharacteristic
78C2×#451C2211yescharacteristic, complemented
79C2×#451C2211yescharacteristic, complemented
80C2×#451C2211yescharacteristic, complemented
81C2×#451C2211yescharacteristic, complemented
82C2×#448C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#450C2211yescharacteristic
85C2×#450C2211yescharacteristic
86C2×#441C2211yescharacteristic, complemented
87C2×C4×Q16C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×C8×D4C2211yescharacteristic
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C22×#103C2211yescharacteristic
93C22×#102C2211yescharacteristic
94C2×#407C2211yescharacteristic
95C22×C22⋊C8C2211yescharacteristic
96#2848—21no—
97#2848C2211yescharacteristic
98#2683—21no—
99#2677—21no—
100#2542C2211yescharacteristic, complemented
101#2449—21no—
102#2449—21no—
103#2440—21no—
104#2440—21no—
105#2437—21no—
106#2435—21no—
107#2435C2211yescharacteristic
108#2434C2211yescharacteristic
109#2434C2211yescharacteristic, complemented
110#2432—21no—
111#2432—21no—
112#2432C2211yescharacteristic
113#2432C2211yescharacteristic
114#2429C2211yescharacteristic, complemented
115#2429C2211yescharacteristic, complemented
116#2417C2211yescharacteristic
117#2417C2211yescharacteristic, complemented
118#2409C2211yescharacteristic, complemented
119#2408—21no—
120#2408C2211yescharacteristic
121#2407—21no—
122#2407—21no—
123#2407C2211yescharacteristic
124#2407C2211yescharacteristic
125#2360C2211yescharacteristic
126#2360C2211yescharacteristic, complemented
127#2358—21no—
128#2341C2211yescharacteristic
129#2341C2211yescharacteristic
130Q8×C22⋊C4C2211yescharacteristic
131C4×#120—21no—
132C4×#120C2211yescharacteristic
133#2067C2211yescharacteristic, complemented
134#2065C2211yescharacteristic, complemented
135#2056C2211yescharacteristic, complemented
136#2056C2211yescharacteristic, complemented
137#2055C2211yescharacteristic, complemented
138#2055C2211yescharacteristic, complemented
139#2043C2211yescharacteristic, complemented
140#2042C2211yescharacteristic, complemented
141#2036C2211yescharacteristic, complemented
142#2036C2211yescharacteristic, complemented
143#2036C2211yescharacteristic, complemented
144#2035C2211yescharacteristic, complemented
145#2035C2211yescharacteristic, complemented
146#2034C2211yescharacteristic, complemented
147#2016C2211yescharacteristic, complemented
148#2016C2211yescharacteristic, complemented
149#2016C2211yescharacteristic, complemented
150#2015C2211yescharacteristic, complemented
151#2015C2211yescharacteristic, complemented
152#2015C2211yescharacteristic, complemented
153#2013C2211yescharacteristic, complemented
154#2013C2211yescharacteristic, complemented
155#2013C2211yescharacteristic, complemented
156#2013C2211yescharacteristic, complemented
157#2001C2211yescharacteristic, complemented
158#2001C2211yescharacteristic, complemented
159#2001C2211yescharacteristic, complemented
160#2001C2211yescharacteristic, complemented
161#2001C2211yescharacteristic, complemented
162#2000C2211yescharacteristic, complemented
163#2000C2211yescharacteristic, complemented
164#2000C2211yescharacteristic, complemented
165#1983C2211yescharacteristic, complemented
166#1973C2211yescharacteristic, complemented
167#1973C2211yescharacteristic, complemented
168#1971C2211yescharacteristic, complemented
169#1968C2211yescharacteristic, complemented
170#1955C2211yescharacteristic, complemented
171#1935C2211yescharacteristic, complemented
172#1934C2211yescharacteristic, complemented
173#1927C2211yescharacteristic, complemented
174#1925C2211yescharacteristic, complemented
175#1924C2211yescharacteristic, complemented
176#1923C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1892C2211yescharacteristic
181#1892C2211yescharacteristic
182#1880C2211yescharacteristic, complemented
183#1880C2211yescharacteristic, complemented
184#1880C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1878C2211yescharacteristic, complemented
187#1878C2211yescharacteristic, complemented
188#1878C2211yescharacteristic, complemented
189#1878C2211yescharacteristic, complemented
190#1872C2211yescharacteristic
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic
194#1869C2211yescharacteristic, complemented
195#1865C2211yescharacteristic, complemented
196#1863C2211yescharacteristic, complemented
197#1853C2211yescharacteristic
198#1852C2211yescharacteristic, complemented
199#1851C2211yescharacteristic, complemented
200#1850C2211yescharacteristic
201#1787C2211yescharacteristic
202#1787C2211yescharacteristic, complemented
203#1787C2211yescharacteristic, complemented
204#1763C2211yescharacteristic, complemented
205#1753C2211yescharacteristic, complemented
206#1752C2211yescharacteristic
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
219C23×Q8C2311yescharacteristic
220C23×Q8C2311yescharacteristic
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—42no—
232C2×#137—42no—
233C2×#137—42no—
234C22×Q16—24no—
235C22×Q16—24no—
236C22×Q16—24no—
237C22×Q16—24no—
238C22×Q16—42no—
239C22×Q16—42no—
240C22×Q16C2311yescharacteristic
241C22×Q16C2311yescharacteristic
242C22×Q16C2311yescharacteristic
243C22×Q16C2311yescharacteristic
244C22×Q16C2311yescharacteristic
245C22×Q16C2311yescharacteristic
246C22×Q16C2311yescharacteristic
247C22×Q16C2311yescharacteristic
248C22×Q16C2311yescharacteristic
249C22×Q16C2311yescharacteristic
250C22×Q16C2311yescharacteristic
251C22×Q16C2311yescharacteristic
252C22×SD16—24no—
253C22×SD16—42no—
254C22×SD16—42no—
255C22×SD16C2311yescharacteristic
256C22×SD16C2311yescharacteristic
257C22×SD16C2311yescharacteristic
258C22×SD16C2311yescharacteristic
259C22×SD16C2311yescharacteristic
260C22×SD16C2311yescharacteristic
261C22×SD16C2311yescharacteristic
262C22×SD16C2311yescharacteristic
263C22×M16C2311yescharacteristic
264C22×M16C2311yescharacteristic
265C23×C8C2311yescharacteristic
266C23×C8C2311yescharacteristic
267C23×C8C2311yescharacteristic
268D4×Q8—24no—
269D4×Q8—24no—
270D4×Q8—24no—
271D4×Q8—42no—
272D4×Q8—42no—
273D4×Q8—42no—
274#548—24no—
275#548—42no—
276#548—42no—
277#548—42no—
278C2×C4⋊Q8—21no—
279C2×C4⋊Q8—21no—
280C2×C4⋊Q8—21no—
281C2×C4⋊Q8C2311yescharacteristic
282C2×C4⋊Q8C2311yescharacteristic
283C2×C4⋊Q8C2311yescharacteristic
284C2×C4⋊Q8C2311yescharacteristic
285C2×#124—21no—
286C2×#124—21no—
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×C22⋊Q8—21no—
290C2×C22⋊Q8—21no—
291C2×C22⋊Q8—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—21no—
299C2×C22⋊Q8—21no—
300C2×C22⋊Q8—21no—
301C2×C22⋊Q8—24no—
302C2×C22⋊Q8—24no—
303C2×C22⋊Q8—42no—
304C2×C22⋊Q8—42no—
305C2×C22⋊Q8C2311yescharacteristic
306C2×C22⋊Q8C2311yescharacteristic
307C2×C22⋊Q8C2311yescharacteristic
308C2×C22⋊Q8C2311yescharacteristic
309C2×C22⋊Q8C2311yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×C22⋊Q8C2311yescharacteristic
313C2×C22⋊Q8C2311yescharacteristic
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×#121—21no—
320C2×#121—21no—
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#120—21no—
324C2×#120D411yescharacteristic
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×D4—21no—
331C2×C4×D4—21no—
332C2×C4×D4—21no—
333C2×C4×D4—21no—
334C2×C4×D4—21no—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C22×C4⋊C4—21no—
339C22×C4⋊C4—21no—
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C22⋊C4—21no—
343C22×C22⋊C4—21no—
344#497—24no—
345#497—42no—
346#494—24no—
347#470—24no—
348#470—42no—
349#467—24no—
350#467—24no—
351#467—42no—
352#465—24no—
353#464—24no—
354#462—24no—
355#462—24no—
356#462—24no—
357#462—42no—
358#452—24no—
359#452—24no—
360#452—24no—
361#452—24no—
362#452—24no—
363#452—24no—
364#452—24no—
365#452—24no—
366#452—24no—
367#452—24no—
368#452—24no—
369#452D418yescomplemented
370#451—24no—
371#451—24no—
372#451—24no—
373#451—24no—
374#451—24no—
375#451—24no—
376#451D418yescomplemented
377#450—24no—
378#450—24no—
379#448—24no—
380#448—42no—
381#441—24no—
382C4×Q16—24no—
383#435—24no—
384C8×D4—24no—
385C2×#107C2311yescharacteristic
386C2×#107C2311yescharacteristic
387C2×#106C2311yescharacteristic
388C2×#106C2311yescharacteristic
389C2×C4⋊C8C2311yescharacteristic
390C2×C4⋊C8C2311yescharacteristic
391C2×C4⋊C8C2311yescharacteristic
392#417—24no—
393#417—24no—
394C2×#103—24no—
395C2×#103C2311yescharacteristic
396C2×#103C2311yescharacteristic
397C2×#103C2311yescharacteristic
398C2×#103C2311yescharacteristic
399C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
418C2×#103C2311yescharacteristic
419C2×#102—24no—
420C2×#102C2311yescharacteristic
421C2×#102C2311yescharacteristic
422C2×#102C2311yescharacteristic
423C2×#102C2311yescharacteristic
424C2×#102C2311yescharacteristic
425C2×#102C2311yescharacteristic
426C2×#102C2311yescharacteristic
427C2×#102C2311yescharacteristic
428#407—24no—
429C2×C22⋊C8—24no—
430C2×C22⋊C8C2311yescharacteristic
431C2×C22⋊C8C2311yescharacteristic
432C2×C22⋊C8C2311yescharacteristic
433C2×C22⋊C8C2311yescharacteristic
434C2×C22⋊C8C2311yescharacteristic
435C2×C22⋊C8C2311yescharacteristic
436C2×C22⋊C8C2311yescharacteristic
437C2×C22⋊C8C2311yescharacteristic
438C2×C22⋊C8C2311yescharacteristic
439C2×C22⋊C8C2311yescharacteristic
440C2×C22⋊C8C2311yescharacteristic
441C2×#97C2311yescharacteristic
442C2×#97C2311yescharacteristic
443C2×C4×C8C2311yescharacteristic
444#399—21no—
445#399—21no—
446#398—21no—
447#398—21no—
448#398—21no—
449#398—21no—
450#396—21no—
451#396—21no—
452#396—21no—
453#396—21no—
454#395—21no—
455#395—21no—
456#395—21no—
457#395—21no—
458#395—21no—
459#394—21no—
460#394—21no—
461#394—21no—
462#394—21no—
463#394—21no—
464#394—21no—
465#394—21no—
466#394—21no—
467#394—21no—
468#393—21no—
469#392—21no—
470#392—21no—
471#392—21no—
472#391—21no—
473#391—21no—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#390—21no—
481#390—21no—
482#390—21no—
483#390—21no—
484#390—21no—
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2311yescharacteristic
488#390C2311yescharacteristic
489#389—21no—
490#389—21no—
491#389—21no—
492#389—21no—
493#389C2311yescharacteristic
494#389C2311yescharacteristic
495#388—21no—
496#388—21no—
497#387—21no—
498#387—21no—
499#386—21no—
500#386—21no—
501#386—21no—
502#386—21no—
503#386—21no—
504#386D411yescharacteristic
505#386D411yescharacteristic
506#386D411yescharacteristic
507#385—21no—
508#385—21no—
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#385—21no—
518#385—21no—
519#385—21no—
520#385—21no—
521#385—21no—
522#385—21no—
523#385D411yescharacteristic
524#385D411yescharacteristic
525#385D411yescharacteristic
526#384—21no—
527#380—21no—
528#380—21no—
529#380—21no—
530#380—21no—
531#380—21no—
532#380C2311yescharacteristic
533#380C2311yescharacteristic
534#380C2311yescharacteristic
535#380C2311yescharacteristic
536#379—21no—
537#379—21no—
538#379—21no—
539#379—21no—
540#379D411yescharacteristic
541C4×C4⋊C4C2311yescharacteristic
542C4×C22⋊C4—21no—
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—44no—
580C2×#41—41no—
581C2×#41—41no—
582C2×#41—41no—
583C2×#41—41no—
584C2×#41—41no—
585C2×#41—41no—
586C2×#41—41no—
587C2×#41—41no—
588C2×#41—41no—
589C2×#41—41no—
590C2×#41—44no—
591C2×#41—44no—
592C2×#41—44no—
593C2×#41—44no—
594C2×#41—44no—
595C2×#41—416no—
596C2×#41—416no—
597C2×#41—416no—
598C2×#41—416no—
599C2×#41C2×D414yes—
600C22×Q8—21no—
601C22×Q8—21no—
602C22×Q8—21no—
603C22×Q8—21no—
604C22×Q8—21no—
605C22×Q8—22no—
606C22×Q8—22no—
607C22×Q8—22no—
608C22×Q8—22no—
609C22×Q8—22no—
610C22×Q8—22no—
611C22×Q8—22no—
612C22×Q8—22no—
613C22×Q8—22no—
614C22×Q8—22no—
615C22×Q8—22no—
616C22×Q8—22no—
617C22×Q8—22no—
618C22×Q8—22no—
619C22×Q8—41no—
620C22×Q8—41no—
621C22×Q8—41no—
622C22×Q8—41no—
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×Q8—41no—
633C22×Q8—41no—
634C22×Q8C2×D414yes—
635C22×Q8C2411yescharacteristic
636C22×Q8C2411yescharacteristic
637C22×Q8C2411yescharacteristic
638C22×Q8C2411yescharacteristic
639C22×Q8C2411yescharacteristic
640C22×Q8C2411yescharacteristic
641C22×Q8C2411yescharacteristic
642C22×D4—22no—
643C22×D4—22no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—21no—
649C22×D4—21no—
650C22×D4—22no—
651C22×D4—21no—
652C22×D4—22no—
653C22×D4—41no—
654C22×D4—41no—
655C22×D4—44no—
656C22×D4—44no—
657C22×D4—44no—
658C22×D4C2×D411yescharacteristic
659C22×D4C2×D411yescharacteristic
660C22×D4C2×D411yescharacteristic
661C22×D4C2411yescharacteristic
662C22×D4C2411yescharacteristic
663C23×C4—21no—
664C23×C4—21no—
665C23×C4—21no—
666C23×C4—22no—
667C23×C4—22no—
668C23×C4—22no—
669C23×C4—22no—
670C23×C4—21no—
671C23×C4—21no—
672C23×C4—21no—
673C23×C4—21no—
674C23×C4—21no—
675C23×C4—21no—
676C23×C4—21no—
677C23×C4—21no—
678C23×C4—41no—
679C23×C4—41no—
680C23×C4—44no—
681C23×C4—44no—
682C23×C4—44no—
683C23×C4C2×D411yescharacteristic
684C23×C4C2×D411yescharacteristic
685C23×C4C2×D411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690#137—416no—
691#137—416no—
692C2×Q16—22no—
693C2×Q16—22no—
694C2×Q16—22no—
695C2×Q16—22no—
696C2×Q16—22no—
697C2×Q16—22no—
698C2×Q16—22no—
699C2×Q16—22no—
700C2×Q16—22no—
701C2×Q16—22no—
702C2×Q16—22no—
703C2×Q16—22no—
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—41no—
714C2×Q16—41no—
715C2×Q16—41no—
716C2×Q16—41no—
717C2×Q16—41no—
718C2×Q16—41no—
719C2×Q16—41no—
720C2×Q16—41no—
721C2×Q16—41no—
722C2×Q16—41no—
723C2×Q16—41no—
724C2×Q16—41no—
725C2×Q16—416no—
726C2×Q16—416no—
727C2×Q16C2×D414yes—
728C2×Q16C2×D414yes—
729C2×Q16C2×D414yes—
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—22no—
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—416no—
754C2×SD16C2×D414yes—
755C2×M16—22no—
756C2×M16—22no—
757C2×M16—22no—
758C2×M16—22no—
759C2×M16—41no—
760C2×M16—41no—
761C22×C8—22no—
762C22×C8—22no—
763C22×C8—22no—
764C22×C8—22no—
765C22×C8—22no—
766C22×C8—22no—
767C22×C8—41no—
768C22×C8—41no—
769C22×C8—41no—
770C22×C8C2411yescharacteristic
771C22×C8C2411yescharacteristic
772C22×C8C2411yescharacteristic
773C22×C8C2411yescharacteristic
774C22×C8C2411yescharacteristic
775C22×C8C2411yescharacteristic
776C22×C8C2411yescharacteristic
777C22×C8C2411yescharacteristic
778C4⋊Q8—22no—
779C4⋊Q8—22no—
780C4⋊Q8—22no—
781C4⋊Q8—41no—
782C4⋊Q8—41no—
783C4⋊Q8—41no—
784C4⋊Q8—41no—
785C4⋊Q8—41no—
786C4⋊Q8—44no—
787C4⋊Q8—44no—
788C4⋊Q8—44no—
789#124—22no—
790#124—22no—
791#124—41no—
792#124—41no—
793#124—44no—
794#124—44no—
795C22⋊Q8—22no—
796C22⋊Q8—22no—
797C22⋊Q8—22no—
798C22⋊Q8—22no—
799C22⋊Q8—22no—
800C22⋊Q8—22no—
801C22⋊Q8—22no—
802C22⋊Q8—22no—
803C22⋊Q8—22no—
804C22⋊Q8—22no—
805C22⋊Q8—22no—
806C22⋊Q8—22no—
807C22⋊Q8—22no—
808C22⋊Q8—22no—
809C22⋊Q8—22no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—44no—
813C22⋊Q8—44no—
814C22⋊Q8—44no—
815C22⋊Q8—44no—
816C22⋊Q8—44no—
817C22⋊Q8—44no—
818C22⋊Q8—44no—
819C22⋊Q8—44no—
820C22⋊Q8—41no—
821C22⋊Q8—41no—
822C22⋊Q8—41no—
823C22⋊Q8—41no—
824C22⋊Q8—41no—
825C22⋊Q8—41no—
826C22⋊Q8—41no—
827C22⋊Q8—41no—
828C22⋊Q8—41no—
829C22⋊Q8—44no—
830C22⋊Q8—44no—
831C22⋊Q8—44no—
832C22⋊Q8—44no—
833C22⋊Q8C2×D414yes—
834C22⋊Q8C2×D414yes—
835#121—22no—
836#121—22no—
837#121—41no—
838#121—41no—
839#121—44no—
840#121—44no—
841#120—24no—
842#120—44no—
843C4×Q8—22no—
844C4×Q8—22no—
845C4×Q8—22no—
846C4×Q8—22no—
847C4×Q8—22no—
848C4×Q8—41no—
849C4×Q8—41no—
850C4×Q8—41no—
851C4×Q8—41no—
852C4×Q8—41no—
853C4×D4—22no—
854C4×D4—22no—
855C4×D4—22no—
856C4×D4—22no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—44no—
860C4×D4—44no—
861C4×D4—44no—
862C4×D4—44no—
863C4×D4—44no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—22no—
867C2×C4⋊C4—22no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—21no—
872C2×C4⋊C4—21no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
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—41no—
898C2×C4⋊C4—41no—
899C2×C4⋊C4—44no—
900C2×C4⋊C4—44no—
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C22⋊C4—21no—
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—44no—
944C2×C22⋊C4—44no—
945C2×C22⋊C4C2×D411yescharacteristic
946C2×C22⋊C4C2×D411yescharacteristic
947C2×C22⋊C4C2×D411yescharacteristic
948C2×C22⋊C4C2×D411yescharacteristic
949C2×C22⋊C4C2×D411yescharacteristic
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×C42—21no—
958C2×C42—21no—
959C2×C42—21no—
960C2×C42—21no—
961C2×C42—21no—
962C2×C42—21no—
963C2×C42C2411yescharacteristic
964C2×C42C2411yescharacteristic
965C2×C42C2411yescharacteristic
966#107—22no—
967#107—41no—
968#106—22no—
969#106—41no—
970C4⋊C8—22no—
971C4⋊C8—22no—
972C4⋊C8—41no—
973#103—22no—
974#103—22no—
975#103—22no—
976#103—22no—
977#103—22no—
978#103—22no—
979#103—22no—
980#103—22no—
981#103—22no—
982#103—22no—
983#103—22no—
984#103—22no—
985#103—22no—
986#103—41no—
987#103—41no—
988#103—41no—
989#103—41no—
990#103—41no—
991#103—41no—
992#103—41no—
993#103—41no—
994#103C2×D414yes—
995#103C2×D414yes—
996#103C2×D414yes—
997#102—22no—
998#102—22no—
999#102—22no—
1000#102—22no—
1001#102—22no—
1002#102—22no—
1003#102—22no—
1004#102C2×D414yes—
1005C22⋊C8—22no—
1006C22⋊C8—22no—
1007C22⋊C8—22no—
1008C22⋊C8—22no—
1009C22⋊C8—22no—
1010C22⋊C8—22no—
1011C22⋊C8—22no—
1012C22⋊C8—22no—
1013C22⋊C8—41no—
1014C22⋊C8C2×D414yes—
1015C22⋊C8C2×D414yes—
1016#97—22no—
1017#97—41no—
1018C4×C8—22no—
1019#95—21no—
1020#95—21no—
1021#95—21no—
1022#95—21no—
1023#95—21no—
1024#95—21no—
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#95C2×D411yescharacteristic
1039#95C2×D411yescharacteristic
1040#95C2×D411yescharacteristic
1041#95C2×D411yescharacteristic
1042#95C2×D411yescharacteristic
1043#95C2×D411yescharacteristic
1044C24—22no—
1045C24—21no—
1046C24—21no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—41no—
1051C24—41no—
1052C24—41no—
1053C24—42no—
1054C24—42no—
1055C24—42no—
1056C24—42no—
1057C24—42no—
1058C24—81no—
1059C24—81no—
1060C24C22×D411yescharacteristic
1061C24C22×D411yescharacteristic
1062C24C22×D411yescharacteristic
1063C24C22×D411yescharacteristic
1064#41—28no—
1065#41—28no—
1066#41—44no—
1067#41—44no—
1068#41—44no—
1069#41—44no—
1070#41—44no—
1071#41—44no—
1072#41—44no—
1073#41—44no—
1074#41—44no—
1075#41—44no—
1076#41—44no—
1077#41—44no—
1078#41—432no—
1079#41—432no—
1080#41—44no—
1081#41—44no—
1082C2×Q8—24no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—28no—
1090C2×Q8—21no—
1091C2×Q8—21no—
1092C2×Q8—21no—
1093C2×Q8—21no—
1094C2×Q8—21no—
1095C2×Q8—21no—
1096C2×Q8—21no—
1097C2×Q8—21no—
1098C2×Q8—21no—
1099C2×Q8—21no—
1100C2×Q8—21no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—21no—
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—42no—
1121C2×Q8—42no—
1122C2×Q8—42no—
1123C2×Q8—42no—
1124C2×Q8—42no—
1125C2×Q8—42no—
1126C2×Q8—42no—
1127C2×Q8—42no—
1128C2×Q8—42no—
1129C2×Q8—44no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—44no—
1134C2×Q8—44no—
1135C2×Q8—44no—
1136C2×Q8—42no—
1137C2×Q8—42no—
1138C2×Q8—44no—
1139C2×Q8—44no—
1140C2×Q8—81no—
1141C2×Q8—81no—
1142C2×Q8—81no—
1143C2×Q8—82no—
1144C2×Q8—82no—
1145C2×Q8—82no—
1146C2×Q8—82no—
1147C2×Q8—82no—
1148C2×Q8—82no—
1149C2×Q8—82no—
1150C2×Q8—82no—
1151C2×Q8—82no—
1152C2×Q8—82no—
1153C2×Q8C22×D412yes—
1154C2×Q8C22×D412yes—
1155C2×Q8C22×D412yes—
1156C2×Q8C22×D412yes—
1157C2×Q8C22×D412yes—
1158C2×Q8H(5,𝔽2)12yes—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—28no—
1162C2×D4—24no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
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—44no—
1178C2×D4—44no—
1179C2×D4—41no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—42no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—432no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—42no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4#13714yescomplemented
1204C2×D4C22×D412yes—
1205C2×D4H(5,𝔽2)12yes—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—21no—
1248C22×C4—21no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—432no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—81no—
1283C22×C4—81no—
1284C22×C4—81no—
1285C22×C4—81no—
1286C22×C4—81no—
1287C22×C4C22×D411yescharacteristic
1288C22×C4C22×D411yescharacteristic
1289C22×C4C22×D411yescharacteristic
1290C22×C4C22×D411yescharacteristic
1291C22×C4C22×D411yescharacteristic
1292C22×C4C22×D411yescharacteristic
1293C22×C4C22×D411yescharacteristic
1294C22×C4C22×D411yescharacteristic
1295C22×C4C22×D411yescharacteristic
1296C22×C4C22×D412yes—
1297C22×C4C22×D412yes—
1298C22×C4C22×D411yescharacteristic
1299C22×C4H(5,𝔽2)12yes—
1300C22×C4H(5,𝔽2)12yes—
1301C22×C4C2511yescharacteristic
1302Q16—28no—
1303Q16—28no—
1304Q16—44no—
1305Q16—44no—
1306Q16—44no—
1307Q16—44no—
1308Q16—44no—
1309Q16—44no—
1310Q16—44no—
1311Q16—44no—
1312Q16—82no—
1313Q16—82no—
1314SD16—44no—
1315SD16—44no—
1316SD16—44no—
1317SD16—44no—
1318SD16—44no—
1319SD16—44no—
1320SD16—44no—
1321SD16—44no—
1322M16—44no—
1323M16—44no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—21no—
1331C2×C8—21no—
1332C2×C8—21no—
1333C2×C8—21no—
1334C2×C8—21no—
1335C2×C8—21no—
1336C2×C8—21no—
1337C2×C8—21no—
1338C2×C8—21no—
1339C2×C8—21no—
1340C2×C8—21no—
1341C2×C8—21no—
1342C2×C8—21no—
1343C2×C8—21no—
1344C2×C8—44no—
1345C2×C8—44no—
1346C2×C8—44no—
1347C2×C8C22×D412yes—
1348C2×C8C22×D412yes—
1349C2×C8C22×D412yes—
1350C2×C8C22×D412yes—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—41no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—81no—
1394C4⋊C4—81no—
1395C4⋊C4—81no—
1396C4⋊C4—81no—
1397C4⋊C4C22×D412yes—
1398C4⋊C4C22×D412yes—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—81no—
1435C22⋊C4—81no—
1436C22⋊C4—81no—
1437C22⋊C4—81no—
1438C22⋊C4—81no—
1439C22⋊C4—81no—
1440C22⋊C4—81no—
1441C22⋊C4—81no—
1442C22⋊C4—81no—
1443C42—21no—
1444C42—21no—
1445C42—21no—
1446C42—21no—
1447C42—21no—
1448C42—21no—
1449C42—42no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—81no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—21no—
1477C23—22no—
1478C23—21no—
1479C23—21no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—48no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—44no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—82no—
1498C23—82no—
1499C23—82no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23D4212yes—
1507C23D4212yes—
1508C23C2×#13712yes—
1509C23C2×#13712yes—
1510C23#57812yes—
1511C23C23×D411yescharacteristic
1512Q8—22no—
1513Q8—22no—
1514Q8—22no—
1515Q8—22no—
1516Q8—22no—
1517Q8—22no—
1518Q8—22no—
1519Q8—22no—
1520Q8—22no—
1521Q8—48no—
1522Q8—41no—
1523Q8—41no—
1524Q8—41no—
1525Q8—41no—
1526Q8—41no—
1527Q8—41no—
1528Q8—41no—
1529Q8—41no—
1530Q8—41no—
1531Q8—41no—
1532Q8—41no—
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—84no—
1541Q8—84no—
1542Q8—84no—
1543Q8—84no—
1544Q8D4214yes—
1545D4—28no—
1546D4—22no—
1547D4—22no—
1548D4—22no—
1549D4—22no—
1550D4—48no—
1551D4—48no—
1552D4—48no—
1553D4—44no—
1554D4—48no—
1555D4—48no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—82no—
1561D4—84no—
1562D4—84no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—48no—
1613C2×C4—48no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—84no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4D4212yes—
1663C2×C4D4212yes—
1664C2×C4C2×#13712yes—
1665C2×C4C23×D411yescharacteristic
1666C2×C4C23×D411yescharacteristic
1667C2×C4C2×H(5,𝔽2)11yescharacteristic
1668C2×C4C2×H(5,𝔽2)11yescharacteristic
1669C2×C4C2×H(5,𝔽2)11yescharacteristic
1670C2×C4C2×H(5,𝔽2)11yescharacteristic
1671C8—22no—
1672C8—22no—
1673C8—22no—
1674C8—22no—
1675C8—41no—
1676C8—41no—
1677C8—41no—
1678C8—41no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—41no—
1703C22—41no—
1704C22—42no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—42no—
1710C22—41no—
1711C22—42no—
1712C22—88no—
1713C22—816no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22#327014yescomplemented
1723C22C2×D4211yescharacteristic
1724C22C2×D4211yescharacteristic
1725C22#348411yescharacteristic
1726C22C22×#13711yescharacteristic
1727C22C2×#57811yescharacteristic
1728C22#358411yescharacteristic
1729C22#358611yescharacteristic
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—24no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—41no—
1745C4—41no—
1746C4—81no—
1747C4—81no—
1748C4—81no—
1749C4—81no—
1750C4—81no—
1751C4—81no—
1752C4—81no—
1753C4—81no—
1754C4C2×D4211yescharacteristic
1755C4#348411yescharacteristic
1756C4#348411yescharacteristic
1757C4#353211yescharacteristic
1758C2—24no—
1759C2—42no—
1760C2—42no—
1761C2—81no—
1762C2—82no—
1763C2—82no—
1764C2#5899011yescharacteristic
1765C2C2×#327011yescharacteristic
1766C2#6105711yescharacteristic
1767C2D4×#13711yescharacteristic
1768C2#6107811yescharacteristic
1769C2#6160711yescharacteristic
1770C2#6162211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36428C2
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×D4×Q16C2semidirect
2. C2×#3270C2semidirect
3. C2×#3007C2semidirect
4. C22×#452C2semidirect
5. #58998C2semidirect
7. #31067C2semidirect
8. #30504C2semidirect
9. #30467C2semidirect
10. #30450C2semidirect
11. #25795C2semidirect
12. #25784C2semidirect
13. #25767C2semidirect
14. #25171C2semidirect
15. #25151C2semidirect
16. #25119C2semidirect
17. #25112C2semidirect
18. #25098C2semidirect
19. #25084C2semidirect
20. #24449C2semidirect
21. #24437C2semidirect
22. #24386C2semidirect
23. #24380C2semidirect
24. #24374C2semidirect
25. #24360C2semidirect
26. #23868C2semidirect
27. #23859C2semidirect
28. #23855C2semidirect
29. #22879C2semidirect
30. #22859C2semidirect
31. #22846C2semidirect
36. C23×Q16C22semidirect
40. C2×D4×Q8C22semidirect
47. C2×#497C22semidirect
48. C2×#497C22semidirect
49. C2×#494C22semidirect
50. C2×#470C22semidirect
51. C2×#470C22semidirect
54. C2×#467C22semidirect
55. C2×#465C22semidirect
56. C2×#464C22semidirect
57. C2×#462C22semidirect
58. C2×#462C22semidirect
59. C2×#462C22semidirect
60. C2×#462C22semidirect
78. C2×#451C22semidirect
79. C2×#451C22semidirect
80. C2×#451C22semidirect
81. C2×#451C22semidirect
82. C2×#448C22semidirect
83. C2×#448C22semidirect
86. C2×#441C22semidirect
87. C2×C4×Q16C22semidirect
88. C2×#435C22semidirect
100. #2542C22semidirect
109. #2434C22semidirect
114. #2429C22semidirect
115. #2429C22semidirect
117. #2417C22semidirect
118. #2409C22semidirect
126. #2360C22semidirect
133. #2067C22semidirect
134. #2065C22semidirect
135. #2056C22semidirect
136. #2056C22semidirect
137. #2055C22semidirect
138. #2055C22semidirect
139. #2043C22semidirect
140. #2042C22semidirect
141. #2036C22semidirect
142. #2036C22semidirect
143. #2036C22semidirect
144. #2035C22semidirect
145. #2035C22semidirect
146. #2034C22semidirect
147. #2016C22semidirect
148. #2016C22semidirect
149. #2016C22semidirect
150. #2015C22semidirect
151. #2015C22semidirect
152. #2015C22semidirect
153. #2013C22semidirect
154. #2013C22semidirect
155. #2013C22semidirect
156. #2013C22semidirect
157. #2001C22semidirect
158. #2001C22semidirect
159. #2001C22semidirect
160. #2001C22semidirect
161. #2001C22semidirect
162. #2000C22semidirect
163. #2000C22semidirect
164. #2000C22semidirect
165. #1983C22semidirect
166. #1973C22semidirect
167. #1973C22semidirect
168. #1971C22semidirect
169. #1968C22semidirect
170. #1955C22semidirect
171. #1935C22semidirect
172. #1934C22semidirect
173. #1927C22semidirect
174. #1925C22semidirect
175. #1924C22semidirect
176. #1923C22semidirect
177. #1894C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
182. #1880C22semidirect
183. #1880C22semidirect
184. #1880C22semidirect
185. #1878C22semidirect
186. #1878C22semidirect
187. #1878C22semidirect
188. #1878C22semidirect
189. #1878C22semidirect
191. #1872C22semidirect
192. #1870C22semidirect
194. #1869C22semidirect
195. #1865C22semidirect
196. #1863C22semidirect
198. #1852C22semidirect
199. #1851C22semidirect
202. #1787C22semidirect
203. #1787C22semidirect
204. #1763C22semidirect
205. #1753C22semidirect
369. #452D4semidirect
376. #451D4semidirect
1203. C2×D4#137semidirect
1722. C22#3270semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Q162
C2×#32702
C2×#30072
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