Finite Group Databasebeta

← #6996614

Subgroups — #6996614

Order 512.

2848 conjugacy classes of subgroups.

The subgroup lattice has 1819 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3264C211yesmaximal, characteristic, complemented
2C2×#3194C211yesmaximal, characteristic, complemented
3#59000C211yesmaximal, characteristic, complemented
4#58997C211yesmaximal, characteristic, complemented
5#31044C211yesmaximal, characteristic, complemented
6#31016C211yesmaximal, characteristic, complemented
7#30716C211yesmaximal, characteristic, complemented
8#30705C211yesmaximal, characteristic, complemented
9#30471C211yesmaximal, characteristic, complemented
10#30460C211yesmaximal, characteristic, complemented
11#30460C211yesmaximal, characteristic, complemented
12#30454C211yesmaximal, characteristic, complemented
13#28559C211yesmaximal, characteristic, complemented
14#26942C211yesmaximal, characteristic, complemented
15#26939C211yesmaximal, characteristic, complemented
16#26634C211yesmaximal, characteristic, complemented
17#26632C211yesmaximal, characteristic, complemented
18#25791C211yesmaximal, characteristic, complemented
19#25770C211yesmaximal, characteristic, complemented
20#25753C211yesmaximal, characteristic, complemented
21#25097C211yesmaximal, characteristic, complemented
22#25094C211yesmaximal, characteristic, complemented
23#24448C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#23920C211yesmaximal, characteristic, complemented
26#23920C211yesmaximal, characteristic, complemented
27#23851C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23391C211yesmaximal, characteristic, complemented
30#23140C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic, complemented
36C2×D42—21no—
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic
39C2×#525C2211yescharacteristic, complemented
40C2×#525C2211yescharacteristic, complemented
41C22×#121C2211yescharacteristic, complemented
42C22×#121C2211yescharacteristic, complemented
43#3264—28no—
44#3194—28no—
45C2×#496C2211yescharacteristic, complemented
46C2×#496C2211yescharacteristic, complemented
47C2×#492C2211yescharacteristic, complemented
48C2×#482C2211yescharacteristic, complemented
49C2×#482C2211yescharacteristic, complemented
50C2×#483C2211yescharacteristic, complemented
51C2×#480C2211yescharacteristic, complemented
52C2×#469C2211yescharacteristic
53C2×#469C2211yescharacteristic, complemented
54C2×#468C2211yescharacteristic, complemented
55C2×#468C2211yescharacteristic, complemented
56C2×#465C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#461C2211yescharacteristic, complemented
59C2×#459C2211yescharacteristic, complemented
60C2×#459C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#449C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#447C2211yescharacteristic, complemented
76C2×#447C2211yescharacteristic, complemented
77C2×#442C2211yescharacteristic, complemented
78C2×#435C2211yescharacteristic, complemented
79C2×#417C2211yescharacteristic, complemented
80C2×#418C2211yescharacteristic, complemented
81C2×#407C2211yescharacteristic, complemented
82#2679—21no—
83#2675—21no—
84#2669—21no—
85#2668—21no—
86#2542C2211yescharacteristic, complemented
87#2541C2211yescharacteristic
88#2455—21no—
89#2433C2211yescharacteristic, complemented
90#2433C2211yescharacteristic, complemented
91#2432C2211yescharacteristic, complemented
92#2432C2211yescharacteristic, complemented
93#2428C2211yescharacteristic, complemented
94#2428C2211yescharacteristic, complemented
95#2427C2211yescharacteristic, complemented
96#2427C2211yescharacteristic, complemented
97#2424—21no—
98#2424—21no—
99#2422—21no—
100#2422—21no—
101#2418—21no—
102#2418—21no—
103#2416C2211yescharacteristic
104#2416C2211yescharacteristic
105#2415C2211yescharacteristic, complemented
106#2415C2211yescharacteristic, complemented
107#2410—21no—
108#2410—21no—
109#2408C2211yescharacteristic
110#2408C2211yescharacteristic, complemented
111#2403—21no—
112#2363C2211yescharacteristic, complemented
113#2363C2211yescharacteristic, complemented
114#2361C2211yescharacteristic, complemented
115#2361C2211yescharacteristic, complemented
116#2358—21no—
117C4×#120C2211yescharacteristic
118#2087C2211yescharacteristic, complemented
119#2075C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2043C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2035C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2014C2211yescharacteristic, complemented
132#2014C2211yescharacteristic, complemented
133#2013C2211yescharacteristic, complemented
134#2012C2211yescharacteristic, complemented
135#2012C2211yescharacteristic, complemented
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic, complemented
138#2011C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1955C2211yescharacteristic, complemented
163#1954C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1936C2211yescharacteristic, complemented
166#1935C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1924C2211yescharacteristic, complemented
171#1924C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1919C2211yescharacteristic, complemented
175#1919C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1892C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1875C2211yescharacteristic, complemented
187#1875C2211yescharacteristic, complemented
188#1874C2211yescharacteristic, complemented
189#1874C2211yescharacteristic, complemented
190#1872C2211yescharacteristic, complemented
191#1872C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1869C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1864C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1851C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1779C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C24×C4C2311yescharacteristic
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—42no—
218C2×AGL(1,ℤ/8)—42no—
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×D8—24no—
228C22×D8—42no—
229C22×D8—42no—
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×M16C2311yescharacteristic
239C22×M16C2311yescharacteristic
240C23×C8C2311yescharacteristic
241#546—24no—
242#546—42no—
243#546—42no—
244#546—42no—
245D42—24no—
246D42—42no—
247D42—42no—
248D42—48no—
249D42—42no—
250C2×C4⋊Q8C2311yescharacteristic
251C2×#127—21no—
252C2×#127C2311yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#124C2311yescharacteristic
256C2×#124C2311yescharacteristic
257#525—24no—
258#525—42no—
259#525—42no—
260#525—42no—
261C2×#123—21no—
262C2×#123—21no—
263C2×#123—21no—
264C2×#123—21no—
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×C22⋊Q8C2311yescharacteristic
270C2×C22⋊Q8C2311yescharacteristic
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—24no—
284C2×#121—42no—
285C2×#121—42no—
286C2×#121—42no—
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120—21no—
308C2×#120—21no—
309C2×#120—21no—
310C2×#120—21no—
311C2×#120—21no—
312C2×#120—21no—
313C2×#120—21no—
314C2×#120—21no—
315C2×#120D411yescharacteristic
316C2×C4×D4—21no—
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4—21no—
320C2×C4×D4—21no—
321C2×C4×D4—21no—
322C2×C4×D4C2311yescharacteristic
323C2×C4×D4C2311yescharacteristic
324C2×C4×D4C2311yescharacteristic
325C2×C4×D4C2311yescharacteristic
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C22⋊C4—21no—
334C22×C22⋊C4—21no—
335C22×C22⋊C4—21no—
336C22×C22⋊C4—21no—
337#496—24no—
338#496—42no—
339#492—42no—
340#483—24no—
341#482—24no—
342#482—24no—
343#480—24no—
344#469—24no—
345#469D418yescomplemented
346#468—24no—
347#468—24no—
348#465—24no—
349#463—24no—
350#461—42no—
351#459—24no—
352#459—42no—
353#450—24no—
354#450—24no—
355#450—42no—
356#450—42no—
357#450—42no—
358#449—24no—
359#449—24no—
360#449—24no—
361#449—42no—
362#449—42no—
363#449—42no—
364#447—24no—
365#447—24no—
366#447—24no—
367#447—42no—
368#447—42no—
369#442—24no—
370#435—24no—
371C2×#107C2311yescharacteristic
372C2×#107C2311yescharacteristic
373C2×#106C2311yescharacteristic
374C2×#106C2311yescharacteristic
375C2×C4⋊C8C2311yescharacteristic
376C2×C4⋊C8C2311yescharacteristic
377C2×C4⋊C8C2311yescharacteristic
378#418—42no—
379#417—42no—
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#103C2311yescharacteristic
383C2×#103C2311yescharacteristic
384C2×#103C2311yescharacteristic
385C2×#103C2311yescharacteristic
386C2×#103C2311yescharacteristic
387C2×#103C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400C2×#102C2311yescharacteristic
401C2×#102C2311yescharacteristic
402C2×#102C2311yescharacteristic
403C2×#102C2311yescharacteristic
404C2×#102C2311yescharacteristic
405C2×#102C2311yescharacteristic
406C2×#102C2311yescharacteristic
407C2×#102C2311yescharacteristic
408C2×#102C2311yescharacteristic
409C2×#102C2311yescharacteristic
410C2×#102C2311yescharacteristic
411C2×#102C2311yescharacteristic
412#407—24no—
413C2×C22⋊C8C2311yescharacteristic
414C2×C22⋊C8C2311yescharacteristic
415C2×C22⋊C8C2311yescharacteristic
416C2×C22⋊C8C2311yescharacteristic
417C2×C22⋊C8C2311yescharacteristic
418C2×C22⋊C8C2311yescharacteristic
419C2×C22⋊C8C2311yescharacteristic
420C2×C22⋊C8C2311yescharacteristic
421C2×C22⋊C8C2311yescharacteristic
422C2×C22⋊C8C2311yescharacteristic
423C2×C22⋊C8C2311yescharacteristic
424C2×C22⋊C8C2311yescharacteristic
425C2×C22⋊C8C2311yescharacteristic
426C2×#97C2311yescharacteristic
427C2×#97C2311yescharacteristic
428C2×C4×C8C2311yescharacteristic
429#399—21no—
430#399—21no—
431#397—21no—
432#397—21no—
433#397—21no—
434#397—21no—
435#396—21no—
436#396—21no—
437#394—21no—
438#394—21no—
439#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#394—21no—
445#394—21no—
446#394—21no—
447#394—21no—
448#394—21no—
449#394—21no—
450#394—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392—21no—
459#392—21no—
460#392—21no—
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#390—21no—
464#390—21no—
465#390—21no—
466#390—21no—
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#389—21no—
474#389—21no—
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#389C2311yescharacteristic
478#389C2311yescharacteristic
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386D411yescharacteristic
496#386D411yescharacteristic
497#386D411yescharacteristic
498#385—21no—
499#385—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#385—21no—
504#385D411yescharacteristic
505#385D411yescharacteristic
506#385D411yescharacteristic
507#384—21no—
508#380—21no—
509#380—21no—
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379D411yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544C25C2×D411yescharacteristic
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41—41no—
556C2×#41—41no—
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—22no—
564C22×D4—22no—
565C22×D4—22no—
566C22×D4—22no—
567C22×D4—22no—
568C22×D4—22no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—22no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—22no—
593C22×D4—41no—
594C22×D4—41no—
595C22×D4—41no—
596C22×D4—41no—
597C22×D4—41no—
598C22×D4—41no—
599C22×D4—41no—
600C22×D4—41no—
601C22×D4—41no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—44no—
613C22×D4—44no—
614C22×D4—44no—
615C22×D4—44no—
616C22×D4—44no—
617C22×D4—82no—
618C22×D4—82no—
619C22×D4—82no—
620C22×D4—82no—
621C22×D4C2×D411yescharacteristic
622C22×D4C2×D411yescharacteristic
623C22×D4C2×D411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C22×D4C2411yescharacteristic
627C22×D4C2411yescharacteristic
628C22×D4C2411yescharacteristic
629C22×D4C2411yescharacteristic
630C23×C4—22no—
631C23×C4—22no—
632C23×C4—21no—
633C23×C4—21no—
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—21no—
640C23×C4—41no—
641C23×C4—41no—
642C23×C4—41no—
643C23×C4—41no—
644C23×C4C2×D411yescharacteristic
645C23×C4C2×D411yescharacteristic
646C23×C4C2×D411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651AGL(1,ℤ/8)—416no—
652C2×SD16—22no—
653C2×SD16—22no—
654C2×SD16—22no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—41no—
660C2×SD16—41no—
661C2×SD16—41no—
662C2×SD16—41no—
663C2×SD16—41no—
664C2×SD16—41no—
665C2×SD16—41no—
666C2×SD16—41no—
667C2×SD16—41no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16—41no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—41no—
675C2×SD16—41no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—22no—
682C2×D8—22no—
683C2×D8—22no—
684C2×D8—22no—
685C2×D8—22no—
686C2×D8—22no—
687C2×D8—22no—
688C2×D8—41no—
689C2×D8—41no—
690C2×D8—41no—
691C2×D8—41no—
692C2×D8—41no—
693C2×D8—41no—
694C2×D8—41no—
695C2×D8—41no—
696C2×D8—41no—
697C2×D8—41no—
698C2×D8—41no—
699C2×D8—416no—
700C2×D8C2×D414yescomplemented
701C2×M16—22no—
702C2×M16—41no—
703C2×M16—41no—
704C2×M16—41no—
705C2×M16—41no—
706C2×M16C2×D414yescomplemented
707C22×C8—22no—
708C22×C8—41no—
709C22×C8—41no—
710C22×C8C2411yescharacteristic
711C22×C8C2411yescharacteristic
712C22×C8C2411yescharacteristic
713C22×C8C2411yescharacteristic
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C4⋊Q8—41no—
719C4⋊Q8—41no—
720#127—22no—
721#127—22no—
722#127—41no—
723#127—41no—
724#127—41no—
725#127—41no—
726#127—44no—
727#124—22no—
728#124—22no—
729#124—41no—
730#124—41no—
731#123—44no—
732#123—44no—
733#123—44no—
734#123—44no—
735C22⋊Q8—22no—
736C22⋊Q8—22no—
737C22⋊Q8—22no—
738C22⋊Q8—22no—
739C22⋊Q8—22no—
740C22⋊Q8—22no—
741C22⋊Q8—41no—
742C22⋊Q8—41no—
743C22⋊Q8—41no—
744C22⋊Q8—41no—
745C22⋊Q8—41no—
746C22⋊Q8—41no—
747#121—22no—
748#121—22no—
749#121—22no—
750#121—22no—
751#121—22no—
752#121—22no—
753#121—22no—
754#121—22no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—44no—
764#121—44no—
765#121—44no—
766#121—44no—
767#121—44no—
768#121—44no—
769#121—44no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121—44no—
784#121—44no—
785#121C2×D414yes—
786#121C2×D414yescomplemented
787#120—24no—
788#120—44no—
789#120—44no—
790#120—44no—
791#120—44no—
792#120—44no—
793#120—44no—
794#120—44no—
795#120—44no—
796#120—44no—
797#120—44no—
798#120—44no—
799#120—44no—
800#120—82no—
801#120—82no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—22no—
805C4×D4—22no—
806C4×D4—22no—
807C4×D4—22no—
808C4×D4—41no—
809C4×D4—41no—
810C4×D4—41no—
811C4×D4—41no—
812C4×D4—41no—
813C4×D4—41no—
814C4×D4—41no—
815C4×D4—41no—
816C4×D4—44no—
817C4×D4—44no—
818C4×D4—44no—
819C4×D4—44no—
820C4×D4—44no—
821C4×D4—44no—
822#117—22no—
823#117—22no—
824#117—41no—
825#117—41no—
826C2×C4⋊C4—22no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4—21no—
838C2×C4⋊C4—21no—
839C2×C4⋊C4—21no—
840C2×C4⋊C4—21no—
841C2×C4⋊C4—21no—
842C2×C4⋊C4—41no—
843C2×C4⋊C4—41no—
844C2×C4⋊C4C2×D411yescharacteristic
845C2×C4⋊C4C2×D411yescharacteristic
846C2×C4⋊C4C2×D411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
849C2×C4⋊C4C2411yescharacteristic
850C2×C4⋊C4C2411yescharacteristic
851C2×C4⋊C4C2411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—21no—
885C2×C22⋊C4—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—21no—
898C2×C22⋊C4—21no—
899C2×C22⋊C4—44no—
900C2×C22⋊C4—44no—
901C2×C22⋊C4—44no—
902C2×C22⋊C4—44no—
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C22⋊C4C2×D411yescharacteristic
907C2×C22⋊C4C2×D411yescharacteristic
908C2×C22⋊C4C2×D411yescharacteristic
909C2×C22⋊C4C2×D411yescharacteristic
910C2×C22⋊C4C2×D411yescharacteristic
911C2×C22⋊C4C2×D411yescharacteristic
912C2×C22⋊C4C2×D411yescharacteristic
913C2×C22⋊C4C2×D411yescharacteristic
914C2×C22⋊C4C2×D411yescharacteristic
915C2×C42—21no—
916C2×C42—21no—
917C2×C42—21no—
918C2×C42—21no—
919C2×C42C2411yescharacteristic
920C2×C42C2411yescharacteristic
921C2×C42C2411yescharacteristic
922#107—22no—
923#107—22no—
924#106—22no—
925#106C2×D414yescomplemented
926C4⋊C8—22no—
927C4⋊C8—41no—
928C4⋊C8—41no—
929#103—22no—
930#103—22no—
931#103—22no—
932#103—22no—
933#103—22no—
934#103—41no—
935#103—41no—
936#103—41no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—22no—
943#102—22no—
944#102—22no—
945#102—22no—
946#102—22no—
947#102—22no—
948#102—22no—
949#102—22no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102—41no—
955#102—41no—
956#102—41no—
957#102—41no—
958#102—41no—
959#102C2×D414yescomplemented
960#102C2×D414yescomplemented
961C22⋊C8—22no—
962C22⋊C8—22no—
963C22⋊C8—22no—
964C22⋊C8—22no—
965C22⋊C8—22no—
966C22⋊C8—22no—
967C22⋊C8—22no—
968C22⋊C8—41no—
969C22⋊C8—41no—
970C22⋊C8—41no—
971C22⋊C8—41no—
972C22⋊C8—41no—
973C22⋊C8—41no—
974#97—22no—
975#97—41no—
976C4×C8—41no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95—21no—
987#95—21no—
988#95—21no—
989#95C2×D411yescharacteristic
990#95C2×D411yescharacteristic
991#95C2×D411yescharacteristic
992#95C2×D411yescharacteristic
993#95C2×D411yescharacteristic
994#95C2×D411yescharacteristic
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—22no—
1000C24—22no—
1001C24—21no—
1002C24—21no—
1003C24—41no—
1004C24—41no—
1005C24—41no—
1006C24—41no—
1007C24—41no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—42no—
1013C24—42no—
1014C24—42no—
1015C24—42no—
1016C24—42no—
1017C24—42no—
1018C24—42no—
1019C24—42no—
1020C24—42no—
1021C24—42no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24—81no—
1027C24—81no—
1028C24—81no—
1029C24—81no—
1030C24—81no—
1031C24—81no—
1032C24—81no—
1033C24—81no—
1034C24—81no—
1035C24—81no—
1036C24C22×D411yescharacteristic
1037C24C22×D411yescharacteristic
1038C24C22×D411yescharacteristic
1039C24C22×D411yescharacteristic
1040#41—44no—
1041#41—44no—
1042#41—82no—
1043#41—82no—
1044#41—82no—
1045#41—82no—
1046#41—82no—
1047#41—82no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—21no—
1057C2×Q8—21no—
1058C2×Q8—21no—
1059C2×Q8—21no—
1060C2×D4—24no—
1061C2×D4—22no—
1062C2×D4—24no—
1063C2×D4—22no—
1064C2×D4—24no—
1065C2×D4—24no—
1066C2×D4—22no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
1149C2×D4—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—82no—
1154C2×D4—82no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—82no—
1171C2×D4—82no—
1172C2×D4—82no—
1173C2×D4—82no—
1174C2×D4—82no—
1175C2×D4—82no—
1176C2×D4—82no—
1177C2×D4—82no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—816no—
1195C2×D4—816no—
1196C2×D4—816no—
1197C2×D4—816no—
1198C2×D4AGL(1,ℤ/8)14yescomplemented
1199C2×D4C22×D412yes—
1200C2×D4C22×D412yes—
1201C2×D4H(5,𝔽2)12yes—
1202C2×D4H(5,𝔽2)12yes—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—22no—
1212C22×C4—21no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—21no—
1222C22×C4—21no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—82no—
1259C22×C4—82no—
1260C22×C4—82no—
1261C22×C4—82no—
1262C22×C4—81no—
1263C22×C4—81no—
1264C22×C4—81no—
1265C22×C4—81no—
1266C22×C4—81no—
1267C22×C4—81no—
1268C22×C4—81no—
1269C22×C4—81no—
1270C22×C4—81no—
1271C22×C4—81no—
1272C22×C4C22×D411yescharacteristic
1273C22×C4C22×D411yescharacteristic
1274C22×C4C22×D411yescharacteristic
1275C22×C4C22×D411yescharacteristic
1276C22×C4C22×D411yescharacteristic
1277C22×C4C22×D411yescharacteristic
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D412yes—
1282C22×C4C22×D411yescharacteristic
1283C22×C4H(5,𝔽2)12yes—
1284C22×C4C2511yescharacteristic
1285SD16—44no—
1286SD16—44no—
1287SD16—82no—
1288SD16—82no—
1289SD16—82no—
1290SD16—82no—
1291SD16—82no—
1292SD16—82no—
1293D8—28no—
1294D8—44no—
1295D8—44no—
1296D8—44no—
1297D8—44no—
1298D8—82no—
1299D8—82no—
1300D8—82no—
1301M16—44no—
1302M16—82no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—21no—
1307C2×C8—21no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—44no—
1326C2×C8C22×D412yes—
1327C2×C8C22×D412yes—
1328C4⋊C4—22no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—81no—
1354C4⋊C4—81no—
1355C4⋊C4—81no—
1356C4⋊C4—81no—
1357C4⋊C4C22×D412yes—
1358C4⋊C4C22×D412yes—
1359C4⋊C4H(5,𝔽2)12yes—
1360C4⋊C4H(5,𝔽2)12yes—
1361C22⋊C4—24no—
1362C22⋊C4—24no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C22⋊C4—81no—
1416C22⋊C4—81no—
1417C42—21no—
1418C42—21no—
1419C42—21no—
1420C42—21no—
1421C42—21no—
1422C42—21no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—81no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—44no—
1457C23—44no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—82no—
1497C23—82no—
1498C23—82no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—82no—
1508C23—82no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—84no—
1513C23—84no—
1514C23—84no—
1515C23—162no—
1516C23—162no—
1517C23—162no—
1518C23—162no—
1519C23—162no—
1520C23—162no—
1521C23—162no—
1522C23—162no—
1523C23—162no—
1524C23—162no—
1525C23—162no—
1526C23—162no—
1527C23—162no—
1528C23—162no—
1529C23D4212yes—
1530C23C2×AGL(1,ℤ/8)12yes—
1531C23C2×AGL(1,ℤ/8)12yes—
1532C23C23×D411yescharacteristic
1533Q8—41no—
1534Q8—41no—
1535Q8—41no—
1536Q8—41no—
1537Q8—41no—
1538Q8—41no—
1539Q8—41no—
1540Q8—41no—
1541D4—22no—
1542D4—22no—
1543D4—22no—
1544D4—22no—
1545D4—22no—
1546D4—22no—
1547D4—22no—
1548D4—22no—
1549D4—44no—
1550D4—44no—
1551D4—48no—
1552D4—48no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—41no—
1558D4—41no—
1559D4—41no—
1560D4—41no—
1561D4—41no—
1562D4—41no—
1563D4—41no—
1564D4—41no—
1565D4—41no—
1566D4—41no—
1567D4—41no—
1568D4—41no—
1569D4—84no—
1570D4—84no—
1571D4—82no—
1572D4—84no—
1573D4—84no—
1574D4—84no—
1575D4—84no—
1576D4—84no—
1577D4—84no—
1578D4—84no—
1579D4—84no—
1580D4—84no—
1581D4—84no—
1582D4—84no—
1583D4—84no—
1584D4—84no—
1585D4—84no—
1586D4—84no—
1587D4—84no—
1588D4—84no—
1589D4—84no—
1590D4—162no—
1591D4—162no—
1592D4—162no—
1593D4—162no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
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—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—41no—
1668C2×C4—82no—
1669C2×C4—82no—
1670C2×C4—84no—
1671C2×C4—84no—
1672C2×C4—82no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—84no—
1677C2×C4—162no—
1678C2×C4—162no—
1679C2×C4D4212yes—
1680C2×C4C2×AGL(1,ℤ/8)12yes—
1681C2×C4C23×D411yescharacteristic
1682C2×C4C2×H(5,𝔽2)11yescharacteristic
1683C2×C4C2×H(5,𝔽2)11yescharacteristic
1684C2×C4C2×H(5,𝔽2)11yescharacteristic
1685C2×C4C2×H(5,𝔽2)11yescharacteristic
1686C2×C4C2×H(5,𝔽2)11yescharacteristic
1687C8—22no—
1688C8—22no—
1689C8—41no—
1690C8—41no—
1691C8—41no—
1692C8—41no—
1693C8—41no—
1694C8—41no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—22no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—42no—
1717C22—41no—
1718C22—42no—
1719C22—41no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—41no—
1724C22—41no—
1725C22—42no—
1726C22—42no—
1727C22—41no—
1728C22—41no—
1729C22—42no—
1730C22—41no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—88no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—81no—
1759C22—81no—
1760C22—81no—
1761C22—81no—
1762C22—81no—
1763C22—81no—
1764C22—81no—
1765C22—81no—
1766C22—168no—
1767C22—168no—
1768C22—168no—
1769C22—168no—
1770C22C2×D4211yescharacteristic
1771C22#348411yescharacteristic
1772C22#348411yescharacteristic
1773C22C22×AGL(1,ℤ/8)11yescharacteristic
1774C22#358411yescharacteristic
1775C22#358511yescharacteristic
1776C22#358511yescharacteristic
1777C4—22no—
1778C4—22no—
1779C4—42no—
1780C4—41no—
1781C4—42no—
1782C4—41no—
1783C4—42no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—81no—
1792C4—81no—
1793C4—81no—
1794C4—81no—
1795C4—81no—
1796C4—81no—
1797C4#348411yescharacteristic
1798C4#349811yescharacteristic
1799C4#353711yescharacteristic
1800C4#353711yescharacteristic
1801C2—42no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—82no—
1806C2—82no—
1807C2—82no—
1808C2—82no—
1809C2—161no—
1810C2—161no—
1811C2#4300111yescharacteristic
1812C2D4×AGL(1,ℤ/8)11yescharacteristic
1813C2#6107411yescharacteristic
1814C2#6157111yescharacteristic
1815C2#6159811yescharacteristic
1816C2#6162511yescharacteristic
1817C2#6164811yescharacteristic
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×#3264C2semidirect
2. C2×#3194C2semidirect
3. #59000C2semidirect
4. #58997C2semidirect
5. #31044C2semidirect
6. #31016C2semidirect
7. #30716C2semidirect
8. #30705C2semidirect
9. #30471C2semidirect
10. #30460C2semidirect
11. #30460C2semidirect
12. #30454C2semidirect
13. #28559C2semidirect
14. #26942C2semidirect
15. #26939C2semidirect
16. #26634C2semidirect
17. #26632C2semidirect
18. #25791C2semidirect
19. #25770C2semidirect
20. #25753C2semidirect
21. #25097C2semidirect
22. #25094C2semidirect
23. #24448C2semidirect
24. #24444C2semidirect
25. #23920C2semidirect
26. #23920C2semidirect
27. #23851C2semidirect
28. #23848C2semidirect
29. #23391C2semidirect
30. #23140C2semidirect
31. #22036C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C23×D8C22semidirect
34. C2×#546C22semidirect
35. C2×#546C22semidirect
39. C2×#525C22semidirect
40. C2×#525C22semidirect
41. C22×#121C22semidirect
42. C22×#121C22semidirect
45. C2×#496C22semidirect
46. C2×#496C22semidirect
47. C2×#492C22semidirect
48. C2×#482C22semidirect
49. C2×#482C22semidirect
50. C2×#483C22semidirect
51. C2×#480C22semidirect
53. C2×#469C22semidirect
54. C2×#468C22semidirect
55. C2×#468C22semidirect
56. C2×#465C22semidirect
57. C2×#463C22semidirect
58. C2×#461C22semidirect
59. C2×#459C22semidirect
60. C2×#459C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
66. C2×#449C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
72. C2×#447C22semidirect
73. C2×#447C22semidirect
74. C2×#447C22semidirect
75. C2×#447C22semidirect
76. C2×#447C22semidirect
77. C2×#442C22semidirect
78. C2×#435C22semidirect
79. C2×#417C22semidirect
80. C2×#418C22semidirect
81. C2×#407C22semidirect
86. #2542C22semidirect
89. #2433C22semidirect
90. #2433C22semidirect
91. #2432C22semidirect
92. #2432C22semidirect
93. #2428C22semidirect
94. #2428C22semidirect
95. #2427C22semidirect
96. #2427C22semidirect
105. #2415C22semidirect
106. #2415C22semidirect
110. #2408C22semidirect
112. #2363C22semidirect
113. #2363C22semidirect
114. #2361C22semidirect
115. #2361C22semidirect
118. #2087C22semidirect
119. #2075C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2054C22semidirect
125. #2043C22semidirect
126. #2042C22semidirect
127. #2041C22semidirect
128. #2041C22semidirect
129. #2035C22semidirect
130. #2033C22semidirect
131. #2014C22semidirect
132. #2014C22semidirect
133. #2013C22semidirect
134. #2012C22semidirect
135. #2012C22semidirect
136. #2012C22semidirect
137. #2011C22semidirect
138. #2011C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1970C22semidirect
162. #1955C22semidirect
163. #1954C22semidirect
164. #1936C22semidirect
165. #1936C22semidirect
166. #1935C22semidirect
167. #1934C22semidirect
168. #1928C22semidirect
169. #1926C22semidirect
170. #1924C22semidirect
171. #1924C22semidirect
172. #1924C22semidirect
173. #1923C22semidirect
174. #1919C22semidirect
175. #1919C22semidirect
176. #1893C22semidirect
177. #1892C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1875C22semidirect
187. #1875C22semidirect
188. #1874C22semidirect
189. #1874C22semidirect
190. #1872C22semidirect
191. #1872C22semidirect
192. #1870C22semidirect
193. #1869C22semidirect
194. #1869C22semidirect
195. #1864C22semidirect
196. #1862C22semidirect
197. #1851C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1779C22semidirect
201. #1762C22semidirect
202. C4×#102C22semidirect
203. #1753C22semidirect
204. #1736C22semidirect
345. #469D4semidirect
700. C2×D8C2×D4semidirect
706. C2×M16C2×D4semidirect
786. #121C2×D4semidirect
925. #106C2×D4semidirect
959. #102C2×D4semidirect
960. #102C2×D4semidirect
1198. C2×D4AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×#32642
C2×#31942
#590002
#589972
#310442
#310162
#307162
#307052
#304712
#304602
#304542
#285592
#269422
#269392
#266342
#266322
#257912
#257702
#257532
#250972
#250942
#244482
#244442
#239202
#238512
#238482
#233912
#231402
#220362