Finite Group Databasebeta

← #6996448

Subgroups — #6996448

Order 512.

2852 conjugacy classes of subgroups.

The subgroup lattice has 1787 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3272C211yesmaximal, characteristic, complemented
2C2×#3265C211yesmaximal, characteristic, complemented
3#59126C211yesmaximal, characteristic, complemented
4#39956C211yesmaximal, characteristic, complemented
5#30988C211yesmaximal, characteristic, complemented
6#30984C211yesmaximal, characteristic, complemented
7#30749C211yesmaximal, characteristic, complemented
8#30736C211yesmaximal, characteristic, complemented
9#30516C211yesmaximal, characteristic, complemented
10#30505C211yesmaximal, characteristic, complemented
11#30454C211yesmaximal, characteristic, complemented
12#30453C211yesmaximal, characteristic, complemented
13#28577C211yesmaximal, characteristic, complemented
14#26987C211yesmaximal, characteristic, complemented
15#26961C211yesmaximal, characteristic, complemented
16#26603C211yesmaximal, characteristic, complemented
17#26585C211yesmaximal, characteristic, complemented
18#25791C211yesmaximal, characteristic, complemented
19#25774C211yesmaximal, characteristic, complemented
20#25717C211yesmaximal, characteristic, complemented
21#25136C211yesmaximal, characteristic, complemented
22#25120C211yesmaximal, characteristic, complemented
23#24448C211yesmaximal, characteristic, complemented
24#24448C211yesmaximal, characteristic, complemented
25#23866C211yesmaximal, characteristic, complemented
26#23864C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29#23430C211yesmaximal, characteristic, complemented
30#23118C211yesmaximal, characteristic, complemented
31#22045C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C23×SD16C2211yescharacteristic, complemented
36C2×#548C2211yescharacteristic, complemented
37C2×#547C2211yescharacteristic, complemented
38C2×D42—21no—
39C2×D42C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C2×D42C2211yescharacteristic
42C22×#127C2211yescharacteristic
43#3272—28no—
44#3265—28no—
45C2×#496C2211yescharacteristic, complemented
46C2×#492C2211yescharacteristic, complemented
47C2×#492C2211yescharacteristic, complemented
48C2×#492C2211yescharacteristic, complemented
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic, complemented
54C2×#465C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#461C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic, complemented
64C2×#448C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#450C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#447C2211yescharacteristic, complemented
74C2×#440C2211yescharacteristic, complemented
75C2×C4×D8C2211yescharacteristic, complemented
76C2×#436C2211yescharacteristic, complemented
77C2×#435C2211yescharacteristic, complemented
78C2×#418C2211yescharacteristic, complemented
79C2×#418C2211yescharacteristic, complemented
80#2857C2211yescharacteristic, complemented
81#2717—21no—
82#2708—21no—
83#2686—21no—
84#2671—21no—
85#2669—21no—
86#2669—21no—
87#2663—21no—
88#2602—21no—
89#2583—21no—
90#2541C2211yescharacteristic
91#2541C2211yescharacteristic
92#2447C2211yescharacteristic, complemented
93#2446C2211yescharacteristic, complemented
94#2434C2211yescharacteristic, complemented
95#2433—21no—
96#2433C2211yescharacteristic
97#2433C2211yescharacteristic
98#2432C2211yescharacteristic, complemented
99#2428—21no—
100#2428C2211yescharacteristic
101#2428C2211yescharacteristic
102#2423C2211yescharacteristic, complemented
103#2422C2211yescharacteristic, complemented
104#2415C2211yescharacteristic, complemented
105#2415C2211yescharacteristic, complemented
106#2409C2211yescharacteristic, complemented
107#2408—21no—
108#2408C2211yescharacteristic
109#2408C2211yescharacteristic
110#2407C2211yescharacteristic, complemented
111#2403—21no—
112#2403—21no—
113#2366C2211yescharacteristic
114#2322—21no—
115C4×#121C2211yescharacteristic
116C4×#121C2211yescharacteristic
117#2297C2211yescharacteristic, complemented
118#2083C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2043C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2041C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2033C2211yescharacteristic, complemented
131#2014C2211yescharacteristic
132#2014C2211yescharacteristic
133#2014C2211yescharacteristic
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2014C2211yescharacteristic, complemented
141#2013C2211yescharacteristic, complemented
142#2013C2211yescharacteristic, complemented
143#2013C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2011C2211yescharacteristic
147#2011C2211yescharacteristic, complemented
148#2011C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1970C2211yescharacteristic, complemented
160#1968C2211yescharacteristic, complemented
161#1968C2211yescharacteristic, complemented
162#1957C2211yescharacteristic, complemented
163#1957C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1934C2211yescharacteristic, complemented
166#1934C2211yescharacteristic, complemented
167#1933C2211yescharacteristic, complemented
168#1928C2211yescharacteristic, complemented
169#1928C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1923C2211yescharacteristic, complemented
173#1923C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1916C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1877C2211yescharacteristic, complemented
190#1875C2211yescharacteristic
191#1870C2211yescharacteristic, complemented
192#1870C2211yescharacteristic, complemented
193#1870C2211yescharacteristic, complemented
194#1869C2211yescharacteristic, complemented
195#1862C2211yescharacteristic, complemented
196#1862C2211yescharacteristic, complemented
197#1854C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202C8×C22⋊C4C2211yescharacteristic, complemented
203C4×C22⋊C8C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×Q8C2311yescharacteristic
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4—21no—
212C23×D4—21no—
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C23×D4C2311yescharacteristic
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—24no—
219C2×AGL(1,ℤ/8)—24no—
220C2×AGL(1,ℤ/8)—42no—
221C2×AGL(1,ℤ/8)—42no—
222C2×AGL(1,ℤ/8)—42no—
223C2×AGL(1,ℤ/8)—42no—
224C2×AGL(1,ℤ/8)—42no—
225C2×AGL(1,ℤ/8)—42no—
226C22×SD16—24no—
227C22×SD16—42no—
228C22×SD16—42no—
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251C22×M16C2311yescharacteristic
252C23×C8C2311yescharacteristic
253#548—24no—
254#548—42no—
255#547—24no—
256#547—42no—
257D42—24no—
258D42—24no—
259D42—42no—
260D42—42no—
261D42—42no—
262D42—42no—
263D42—48no—
264C2×C4⋊Q8C2311yescharacteristic
265C2×C4⋊Q8C2311yescharacteristic
266C2×#127—21no—
267C2×#127—21no—
268C2×#127—21no—
269C2×#127—42no—
270C2×#127—42no—
271C2×#127C2311yescharacteristic
272C2×#127C2311yescharacteristic
273C2×#127C2311yescharacteristic
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2311yescharacteristic
277C2×#124—21no—
278C2×#124C2311yescharacteristic
279C2×#123—21no—
280C2×#123—21no—
281C2×#123—21no—
282C2×C22⋊Q8—21no—
283C2×C22⋊Q8C2311yescharacteristic
284C2×C22⋊Q8C2311yescharacteristic
285C2×C22⋊Q8C2311yescharacteristic
286C2×C22⋊Q8C2311yescharacteristic
287C2×C22⋊Q8C2311yescharacteristic
288C2×#121—21no—
289C2×#121—21no—
290C2×#121—21no—
291C2×#121—21no—
292C2×#121—21no—
293C2×#121—21no—
294C2×#121—21no—
295C2×#121—21no—
296C2×#121—21no—
297C2×#121D411yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#121C2311yescharacteristic
300C2×#121C2311yescharacteristic
301C2×#121C2311yescharacteristic
302C2×#121C2311yescharacteristic
303C2×#121C2311yescharacteristic
304C2×#121C2311yescharacteristic
305C2×#121C2311yescharacteristic
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×#120—21no—
316C2×#120—21no—
317C2×#120—21no—
318C2×C4×Q8C2311yescharacteristic
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
330C22×C4⋊C4—21no—
331C22×C42C2311yescharacteristic
332#496—24no—
333#492—24no—
334#492—42no—
335#492—42no—
336#468—24no—
337#468—24no—
338#468—24no—
339#468—42no—
340#466—24no—
341#465—42no—
342#463—24no—
343#461—24no—
344#460—24no—
345#459—24no—
346#450—24no—
347#450—24no—
348#450—24no—
349#450—42no—
350#450—42no—
351#450—42no—
352#450—42no—
353#449—24no—
354#449—42no—
355#449—42no—
356#449D418yescomplemented
357#448—24no—
358#448—42no—
359#448—42no—
360#447—24no—
361#440—24no—
362C4×D8—24no—
363#436—24no—
364#435—24no—
365C2×#107C2311yescharacteristic
366C2×#107C2311yescharacteristic
367C2×#107C2311yescharacteristic
368C2×#106C2311yescharacteristic
369C2×C4⋊C8C2311yescharacteristic
370C2×C4⋊C8C2311yescharacteristic
371#418—42no—
372#418—42no—
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#103C2311yescharacteristic
379C2×#103C2311yescharacteristic
380C2×#103C2311yescharacteristic
381C2×#103C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×#97C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417#400—21no—
418#399—21no—
419#398—21no—
420#398—21no—
421#397—21no—
422#397—21no—
423#397—21no—
424#397—21no—
425#397—21no—
426#395—21no—
427#395—21no—
428#395—21no—
429#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—21no—
435#394—21no—
436#394—21no—
437#394—21no—
438#394—21no—
439#393—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#391C2311yescharacteristic
458#391C2311yescharacteristic
459#390—21no—
460#390—21no—
461#390D411yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#389—21no—
470#389—21no—
471#389—21no—
472#389—21no—
473#389D411yescharacteristic
474#389C2311yescharacteristic
475#389C2311yescharacteristic
476#389C2311yescharacteristic
477#388—21no—
478#388—21no—
479#388—21no—
480#388—21no—
481#388D411yescharacteristic
482#388D411yescharacteristic
483#387—21no—
484#387—21no—
485#387—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#385—21no—
498#385—21no—
499#385—21no—
500#385—21no—
501#385—21no—
502#385—21no—
503#385—21no—
504#385—21no—
505#384C2311yescharacteristic
506#381—21no—
507#380—21no—
508#380—21no—
509#380D411yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379—21no—
515C4×C4⋊C4C2311yescharacteristic
516C4×C4⋊C4C2311yescharacteristic
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539#336C2311yescharacteristic
540C25—21no—
541C25—21no—
542C25—21no—
543C25—21no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C2×#41C2×D414yescomplemented
556C22×Q8—21no—
557C22×Q8—22no—
558C22×Q8—41no—
559C22×Q8—41no—
560C22×Q8—41no—
561C22×Q8—41no—
562C22×Q8—41no—
563C22×Q8C2411yescharacteristic
564C22×Q8C2411yescharacteristic
565C22×Q8C2411yescharacteristic
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—22no—
569C22×D4—22no—
570C22×D4—22no—
571C22×D4—22no—
572C22×D4—22no—
573C22×D4—22no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—21no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—22no—
585C22×D4—22no—
586C22×D4—21no—
587C22×D4—21no—
588C22×D4—21no—
589C22×D4—21no—
590C22×D4—21no—
591C22×D4—21no—
592C22×D4—21no—
593C22×D4—21no—
594C22×D4—21no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—22no—
601C22×D4—22no—
602C22×D4—41no—
603C22×D4—41no—
604C22×D4—41no—
605C22×D4—41no—
606C22×D4—41no—
607C22×D4—41no—
608C22×D4—41no—
609C22×D4—41no—
610C22×D4—41no—
611C22×D4—41no—
612C22×D4—41no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—44no—
617C22×D4—44no—
618C22×D4—44no—
619C22×D4—44no—
620C22×D4—44no—
621C22×D4—44no—
622C22×D4—44no—
623C22×D4—44no—
624C22×D4—44no—
625C22×D4—82no—
626C22×D4—82no—
627C22×D4—82no—
628C22×D4—82no—
629C22×D4—82no—
630C22×D4—82no—
631C22×D4C2×D411yescharacteristic
632C22×D4C2×D411yescharacteristic
633C22×D4C2×D411yescharacteristic
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C22×D4C2411yescharacteristic
638C22×D4C2411yescharacteristic
639C22×D4C2411yescharacteristic
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4C2×D411yescharacteristic
648C23×C4C2×D411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652AGL(1,ℤ/8)—416no—
653AGL(1,ℤ/8)—416no—
654AGL(1,ℤ/8)—416no—
655C2×SD16—22no—
656C2×SD16—22no—
657C2×SD16—22no—
658C2×SD16—22no—
659C2×SD16—22no—
660C2×SD16—22no—
661C2×SD16—22no—
662C2×SD16—22no—
663C2×SD16—22no—
664C2×SD16—22no—
665C2×SD16—22no—
666C2×SD16—22no—
667C2×SD16—22no—
668C2×SD16—22no—
669C2×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—41no—
676C2×SD16—41no—
677C2×SD16—41no—
678C2×SD16—41no—
679C2×SD16—41no—
680C2×SD16—41no—
681C2×SD16—41no—
682C2×SD16—41no—
683C2×SD16—41no—
684C2×SD16—41no—
685C2×SD16—41no—
686C2×SD16—41no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—416no—
700C2×SD16C2×D414yescomplemented
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
706C2×D8—22no—
707C2×D8—22no—
708C2×D8—22no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8—41no—
715C2×D8C2×D414yescomplemented
716C2×M16—22no—
717C2×M16—22no—
718C2×M16—22no—
719C2×M16—22no—
720C2×M16—22no—
721C2×M16—22no—
722C2×M16—41no—
723C2×M16—41no—
724C2×M16—41no—
725C22×C8—22no—
726C22×C8—22no—
727C22×C8—41no—
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736C4⋊Q8—22no—
737C4⋊Q8—41no—
738C4⋊Q8—41no—
739C4⋊Q8—41no—
740#127—22no—
741#127—22no—
742#127—22no—
743#127—22no—
744#127—22no—
745#127—22no—
746#127—41no—
747#127—41no—
748#127—41no—
749#127—41no—
750#127—41no—
751#127—41no—
752#127—44no—
753#127—44no—
754#127—44no—
755#124—22no—
756#124—41no—
757#124—44no—
758#123—44no—
759#123—44no—
760#123—44no—
761C22⋊Q8—22no—
762C22⋊Q8—22no—
763C22⋊Q8—22no—
764C22⋊Q8—22no—
765C22⋊Q8—22no—
766C22⋊Q8—41no—
767C22⋊Q8—44no—
768C22⋊Q8—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772#121—22no—
773#121—24no—
774#121—22no—
775#121—22no—
776#121—22no—
777#121—22no—
778#121—22no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—41no—
783#121—41no—
784#121—41no—
785#121—41no—
786#121—41no—
787#121—44no—
788#121—44no—
789#121—44no—
790#121—44no—
791#121—44no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121—82no—
797#121C2×D414yes—
798#120—44no—
799#120—44no—
800#120—44no—
801#120—44no—
802#120—44no—
803#120—44no—
804#120—44no—
805#120—44no—
806#120—44no—
807#120—44no—
808#120—82no—
809#120—82no—
810C4×Q8—22no—
811C4×Q8—41no—
812C4×D4—22no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—22no—
817C4×D4—22no—
818C4×D4—22no—
819C4×D4—41no—
820C4×D4—41no—
821C4×D4—41no—
822C4×D4—41no—
823C4×D4—41no—
824C4×D4—41no—
825C4×D4—41no—
826C4×D4—44no—
827C4×D4—44no—
828C4×D4—44no—
829#117—41no—
830#117—41no—
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—21no—
843C2×C4⋊C4—21no—
844C2×C4⋊C4—21no—
845C2×C4⋊C4—21no—
846C2×C4⋊C4—44no—
847C2×C4⋊C4C2×D411yescharacteristic
848C2×C4⋊C4C2×D411yescharacteristic
849C2×C4⋊C4C2×D411yescharacteristic
850C2×C4⋊C4C2×D411yescharacteristic
851C2×C4⋊C4C2×D411yescharacteristic
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2411yescharacteristic
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2411yescharacteristic
857C2×C4⋊C4C2411yescharacteristic
858C2×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
897C2×C22⋊C4C2×D411yescharacteristic
898C2×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C22⋊C4C2×D411yescharacteristic
905C2×C22⋊C4C2×D411yescharacteristic
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—41no—
910C2×C42—41no—
911C2×C42C2×D411yescharacteristic
912C2×C42C2×D411yescharacteristic
913C2×C42C2411yescharacteristic
914C2×C42C2411yescharacteristic
915C2×C42C2411yescharacteristic
916C2×C42C2411yescharacteristic
917#107—22no—
918#107—22no—
919#107—41no—
920#106—41no—
921C4⋊C8—22no—
922C4⋊C8—22no—
923#103—22no—
924#103—22no—
925#103—22no—
926#103—22no—
927#103—41no—
928#103—41no—
929#103—41no—
930#103—41no—
931#103C2×D414yescomplemented
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
939#102—22no—
940#102—22no—
941#102—22no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102—41no—
954#102C2×D414yescomplemented
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962C22⋊C8C2×D414yescomplemented
963#97—22no—
964C4×C8—22no—
965C4×C8—41no—
966C4×C8—41no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95—21no—
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988#95C2×D411yescharacteristic
989#95C2×D411yescharacteristic
990#95C2×D411yescharacteristic
991#95C2×D411yescharacteristic
992C24—21no—
993C24—21no—
994C24—21no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—81no—
1013C24—81no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24—81no—
1019C24—81no—
1020C24—81no—
1021C24—81no—
1022C24—81no—
1023C24—81no—
1024C24—81no—
1025C24—81no—
1026C24C22×D411yescharacteristic
1027C24C22×D411yescharacteristic
1028C24C22×D411yescharacteristic
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—82no—
1033#41—82no—
1034#41—82no—
1035#41—82no—
1036#41—82no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—42no—
1055C2×Q8—44no—
1056C2×Q8—81no—
1057C2×Q8—81no—
1058C2×Q8—82no—
1059C2×Q8—82no—
1060C2×Q8—82no—
1061C2×Q8C22×D412yes—
1062C2×D4—24no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—24no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—24no—
1069C2×D4—24no—
1070C2×D4—22no—
1071C2×D4—22no—
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—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—44no—
1133C2×D4—44no—
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—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—82no—
1157C2×D4—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4—82no—
1179C2×D4—82no—
1180C2×D4—82no—
1181C2×D4—82no—
1182C2×D4—82no—
1183C2×D4—82no—
1184C2×D4—816no—
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—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—816no—
1200C2×D4—816no—
1201C2×D4—816no—
1202C2×D4C22×D412yes—
1203C2×D4C22×D412yes—
1204C2×D4H(5,𝔽2)12yes—
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—22no—
1213C22×C4—22no—
1214C22×C4—22no—
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—24no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4—81no—
1253C22×C4—81no—
1254C22×C4—81no—
1255C22×C4—81no—
1256C22×C4—81no—
1257C22×C4—81no—
1258C22×C4—81no—
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D411yescharacteristic
1263C22×C4C22×D411yescharacteristic
1264C22×C4C22×D411yescharacteristic
1265C22×C4C22×D411yescharacteristic
1266C22×C4C22×D412yes—
1267C22×C4C22×D411yescharacteristic
1268C22×C4C22×D411yescharacteristic
1269C22×C4C22×D411yescharacteristic
1270C22×C4C22×D411yescharacteristic
1271C22×C4H(5,𝔽2)12yes—
1272C22×C4C2511yescharacteristic
1273SD16—28no—
1274SD16—44no—
1275SD16—44no—
1276SD16—44no—
1277SD16—44no—
1278SD16—44no—
1279SD16—44no—
1280SD16—44no—
1281SD16—44no—
1282SD16—82no—
1283SD16—82no—
1284SD16—82no—
1285SD16—82no—
1286SD16—82no—
1287SD16—82no—
1288D8—28no—
1289D8—44no—
1290D8—44no—
1291D8—44no—
1292D8—44no—
1293M16—44no—
1294M16—44no—
1295M16—44no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—21no—
1304C2×C8—21no—
1305C2×C8—21no—
1306C2×C8—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—44no—
1317C2×C8C22×D412yes—
1318C2×C8C22×D412yes—
1319C2×C8H(5,𝔽2)12yes—
1320C2×C8H(5,𝔽2)12yes—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—21no—
1326C4⋊C4—21no—
1327C4⋊C4—21no—
1328C4⋊C4—21no—
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—41no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—81no—
1349C4⋊C4—81no—
1350C4⋊C4—81no—
1351C4⋊C4—81no—
1352C4⋊C4—81no—
1353C4⋊C4—81no—
1354C4⋊C4C22×D412yes—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—22no—
1359C22⋊C4—22no—
1360C22⋊C4—22no—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
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—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4AGL(1,ℤ/8)14yescomplemented
1402C42—21no—
1403C42—21no—
1404C42—21no—
1405C42—21no—
1406C42—21no—
1407C42—21no—
1408C42—21no—
1409C42—21no—
1410C42—41no—
1411C42—41no—
1412C42—42no—
1413C42—42no—
1414C42—81no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23—22no—
1431C23—21no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—84no—
1477C23—84no—
1478C23—84no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23—84no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23—162no—
1491C23—162no—
1492C23—162no—
1493C23—162no—
1494C23—162no—
1495C23—162no—
1496C23—162no—
1497C23—162no—
1498C23—162no—
1499C23—162no—
1500C23—162no—
1501C23—162no—
1502C23—162no—
1503C23—162no—
1504C23D4212yes—
1505C23C2×AGL(1,ℤ/8)12yes—
1506C23C23×D411yescharacteristic
1507Q8—22no—
1508Q8—22no—
1509Q8—41no—
1510Q8—41no—
1511Q8—41no—
1512Q8—41no—
1513Q8—41no—
1514Q8—41no—
1515Q8—41no—
1516Q8—41no—
1517Q8—41no—
1518Q8—41no—
1519Q8—84no—
1520D4—22no—
1521D4—22no—
1522D4—22no—
1523D4—22no—
1524D4—22no—
1525D4—22no—
1526D4—22no—
1527D4—22no—
1528D4—44no—
1529D4—44no—
1530D4—48no—
1531D4—44no—
1532D4—48no—
1533D4—41no—
1534D4—41no—
1535D4—41no—
1536D4—41no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—84no—
1550D4—84no—
1551D4—84no—
1552D4—84no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—84no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—162no—
1570D4—162no—
1571D4—162no—
1572D4—162no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
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—21no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—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—84no—
1646C2×C4—84no—
1647C2×C4—84no—
1648C2×C4—84no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4D4212yes—
1653C2×C4C2×AGL(1,ℤ/8)12yes—
1654C2×C4C2×AGL(1,ℤ/8)12yes—
1655C2×C4#57712yes—
1656C2×C4#57712yes—
1657C2×C4C23×D411yescharacteristic
1658C2×C4C2×H(5,𝔽2)11yescharacteristic
1659C2×C4C2×H(5,𝔽2)11yescharacteristic
1660C2×C4C2×H(5,𝔽2)11yescharacteristic
1661C2×C4C2×H(5,𝔽2)11yescharacteristic
1662C2×C4C2×H(5,𝔽2)11yescharacteristic
1663C8—22no—
1664C8—22no—
1665C8—22no—
1666C8—22no—
1667C8—41no—
1668C8—41no—
1669C8—41no—
1670C8—41no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—42no—
1687C22—41no—
1688C22—42no—
1689C22—42no—
1690C22—41no—
1691C22—42no—
1692C22—41no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—81no—
1720C22—81no—
1721C22—81no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—168no—
1735C22—168no—
1736C22—168no—
1737C22—168no—
1738C22C2×D4211yescharacteristic
1739C22#348411yescharacteristic
1740C22#349811yescharacteristic
1741C22C22×AGL(1,ℤ/8)11yescharacteristic
1742C22C2×#57711yescharacteristic
1743C22C2×#57711yescharacteristic
1744C22#358511yescharacteristic
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—22no—
1750C4—41no—
1751C4—42no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—81no—
1759C4—81no—
1760C4—81no—
1761C4—81no—
1762C4—81no—
1763C4—81no—
1764C4—81no—
1765C4—81no—
1766C4#348411yescharacteristic
1767C4#348411yescharacteristic
1768C4#353711yescharacteristic
1769C4#353711yescharacteristic
1770C2—42no—
1771C2—42no—
1772C2—81no—
1773C2—82no—
1774C2—82no—
1775C2—82no—
1776C2—82no—
1777C2—161no—
1778C2—161no—
1779C2#4300111yescharacteristic
1780C2D4×AGL(1,ℤ/8)11yescharacteristic
1781C2#6108711yescharacteristic
1782C2#6160011yescharacteristic
1783C2#6161011yescharacteristic
1784C2#6242111yescharacteristic
1785C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3272C2semidirect
2. C2×#3265C2semidirect
3. #59126C2semidirect
4. #39956C2semidirect
5. #30988C2semidirect
6. #30984C2semidirect
7. #30749C2semidirect
8. #30736C2semidirect
9. #30516C2semidirect
10. #30505C2semidirect
11. #30454C2semidirect
12. #30453C2semidirect
13. #28577C2semidirect
14. #26987C2semidirect
15. #26961C2semidirect
16. #26603C2semidirect
17. #26585C2semidirect
18. #25791C2semidirect
19. #25774C2semidirect
20. #25717C2semidirect
21. #25136C2semidirect
22. #25120C2semidirect
23. #24448C2semidirect
24. #24448C2semidirect
25. #23866C2semidirect
26. #23864C2semidirect
27. #23860C2semidirect
28. #23849C2semidirect
29. #23430C2semidirect
30. #23118C2semidirect
31. #22045C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C23×SD16C22semidirect
36. C2×#548C22semidirect
37. C2×#547C22semidirect
45. C2×#496C22semidirect
46. C2×#492C22semidirect
47. C2×#492C22semidirect
48. C2×#492C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
53. C2×#466C22semidirect
54. C2×#465C22semidirect
55. C2×#460C22semidirect
56. C2×#463C22semidirect
57. C2×#461C22semidirect
58. C2×#459C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#448C22semidirect
64. C2×#448C22semidirect
65. C2×#448C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
68. C2×#450C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
73. C2×#447C22semidirect
74. C2×#440C22semidirect
75. C2×C4×D8C22semidirect
76. C2×#436C22semidirect
77. C2×#435C22semidirect
78. C2×#418C22semidirect
79. C2×#418C22semidirect
80. #2857C22semidirect
92. #2447C22semidirect
93. #2446C22semidirect
94. #2434C22semidirect
98. #2432C22semidirect
102. #2423C22semidirect
103. #2422C22semidirect
104. #2415C22semidirect
105. #2415C22semidirect
106. #2409C22semidirect
110. #2407C22semidirect
117. #2297C22semidirect
118. #2083C22semidirect
119. #2071C22semidirect
120. #2067C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2055C22semidirect
124. #2043C22semidirect
125. #2041C22semidirect
126. #2041C22semidirect
127. #2034C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2033C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
140. #2014C22semidirect
141. #2013C22semidirect
142. #2013C22semidirect
143. #2013C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
147. #2011C22semidirect
148. #2011C22semidirect
149. #2011C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1973C22semidirect
159. #1970C22semidirect
160. #1968C22semidirect
161. #1968C22semidirect
162. #1957C22semidirect
163. #1957C22semidirect
164. #1936C22semidirect
165. #1934C22semidirect
166. #1934C22semidirect
167. #1933C22semidirect
168. #1928C22semidirect
169. #1928C22semidirect
170. #1928C22semidirect
171. #1926C22semidirect
172. #1923C22semidirect
173. #1923C22semidirect
174. #1917C22semidirect
175. #1916C22semidirect
176. #1895C22semidirect
177. #1894C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1877C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1877C22semidirect
191. #1870C22semidirect
192. #1870C22semidirect
193. #1870C22semidirect
194. #1869C22semidirect
195. #1862C22semidirect
196. #1862C22semidirect
197. #1854C22semidirect
198. #1788C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1753C22semidirect
202. C8×C22⋊C4C22semidirect
203. C4×C22⋊C8C22semidirect
204. #1728C22semidirect
356. #449D4semidirect
555. C2×#41C2×D4semidirect
700. C2×SD16C2×D4semidirect
715. C2×D8C2×D4semidirect
931. #103C2×D4semidirect
954. #102C2×D4semidirect
962. C22⋊C8C2×D4semidirect
1401. C22⋊C4AGL(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×#32722
C2×#32652
#591262
#399562
#309882
#309842
#307492
#307362
#305162
#305052
#304542
#304532
#285772
#269872
#269612
#266032
#265852
#257912
#257742
#257172
#251362
#251202
#244482
#238662
#238642
#238602
#238492
#234302
#231182
#220452