Finite Group Databasebeta

← #7021680

Subgroups — #7021680

Order 512.

2748 conjugacy classes of subgroups.

The subgroup lattice has 1743 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3324C211yesmaximal, characteristic, complemented
2C2×#3272C211yesmaximal, characteristic, complemented
3#59811C211yesmaximal, characteristic, complemented
4#59126C211yesmaximal, characteristic, complemented
5#30926C211yesmaximal, characteristic, complemented
6#30874C211yesmaximal, characteristic, complemented
7#30860C211yesmaximal, characteristic, complemented
8#30736C211yesmaximal, characteristic, complemented
9#30730C211yesmaximal, characteristic, complemented
10#30527C211yesmaximal, characteristic, complemented
11#30515C211yesmaximal, characteristic, complemented
12#30456C211yesmaximal, characteristic, complemented
13#28116C211yesmaximal, characteristic, complemented
14#28110C211yesmaximal, characteristic, complemented
15#26889C211yesmaximal, characteristic, complemented
16#26619C211yesmaximal, characteristic, complemented
17#26586C211yesmaximal, characteristic, complemented
18#25159C211yesmaximal, characteristic, complemented
19#25097C211yesmaximal, characteristic, complemented
20#24448C211yesmaximal, characteristic, complemented
21#24370C211yesmaximal, characteristic, complemented
22#24277C211yesmaximal, characteristic, complemented
23#24211C211yesmaximal, characteristic, complemented
24#24044C211yesmaximal, characteristic, complemented
25#23979C211yesmaximal, characteristic, complemented
26#23864C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23860C211yesmaximal, characteristic, complemented
29#23430C211yesmaximal, characteristic, complemented
30#22191C211yesmaximal, characteristic, complemented
31#22178C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×#556C2211yescharacteristic, complemented
36C2×#547C2211yescharacteristic, complemented
37C2×D42—21no—
38C2×D42C2211yescharacteristic
39C2×D42C2211yescharacteristic
40C2×D42C2211yescharacteristic
41C22×#127C2211yescharacteristic
42#3324—28no—
43#3272—28no—
44C2×#492C2211yescharacteristic, complemented
45C2×#486C2211yescharacteristic, complemented
46C2×#482C2211yescharacteristic
47C2×#482C2211yescharacteristic, complemented
48C2×#474C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#468C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55C2×#460C2211yescharacteristic, complemented
56C2×#460C2211yescharacteristic, complemented
57C2×#461C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#450C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#450C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×C4×SD16C2211yescharacteristic, complemented
70C2×C4×D8C2211yescharacteristic, complemented
71C2×#436C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#418C2211yescharacteristic, complemented
74C2×#418C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76#2695—21no—
77#2676—21no—
78#2669—21no—
79#2669—21no—
80#2559—21no—
81#2557—21no—
82#2554—21no—
83#2541C2211yescharacteristic
84#2541C2211yescharacteristic
85#2492C2211yescharacteristic, complemented
86#2485C2211yescharacteristic, complemented
87#2481—21no—
88#2458—21no—
89#2452C2211yescharacteristic, complemented
90#2446C2211yescharacteristic, complemented
91#2433—21no—
92#2433C2211yescharacteristic
93#2433C2211yescharacteristic
94#2429C2211yescharacteristic, complemented
95#2428—21no—
96#2428C2211yescharacteristic
97#2428C2211yescharacteristic
98#2415C2211yescharacteristic, complemented
99#2408—21no—
100#2408C2211yescharacteristic
101#2408C2211yescharacteristic
102#2407C2211yescharacteristic, complemented
103#2407C2211yescharacteristic, complemented
104#2403—21no—
105#2403—21no—
106#2366C2211yescharacteristic
107#2363C2211yescharacteristic, complemented
108#2360—21no—
109#2341C2211yescharacteristic, complemented
110C4×C22⋊Q8C2211yescharacteristic, complemented
111C4×#121C2211yescharacteristic
112C4×#121C2211yescharacteristic
113#2297C2211yescharacteristic, complemented
114#2068C2211yescharacteristic, complemented
115#2067C2211yescharacteristic, complemented
116#2065C2211yescharacteristic, complemented
117#2065C2211yescharacteristic, complemented
118#2055C2211yescharacteristic, complemented
119#2055C2211yescharacteristic, complemented
120#2054C2211yescharacteristic, complemented
121#2054C2211yescharacteristic, complemented
122#2041C2211yescharacteristic
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic, complemented
129#2033C2211yescharacteristic, complemented
130#2023C2211yescharacteristic, complemented
131#2023C2211yescharacteristic, complemented
132#2014C2211yescharacteristic
133#2014C2211yescharacteristic
134#2014C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2013C2211yescharacteristic, complemented
141#2011C2211yescharacteristic
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1982C2211yescharacteristic, complemented
155#1982C2211yescharacteristic, complemented
156#1970C2211yescharacteristic, complemented
157#1968C2211yescharacteristic, complemented
158#1934C2211yescharacteristic, complemented
159#1934C2211yescharacteristic, complemented
160#1927C2211yescharacteristic, complemented
161#1927C2211yescharacteristic, complemented
162#1926C2211yescharacteristic, complemented
163#1925C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1921C2211yescharacteristic, complemented
167#1918C2211yescharacteristic, complemented
168#1916C2211yescharacteristic, complemented
169#1916C2211yescharacteristic, complemented
170#1895C2211yescharacteristic
171#1895C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1894C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1877C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1875C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1870C2211yescharacteristic, complemented
189#1870C2211yescharacteristic, complemented
190#1864C2211yescharacteristic, complemented
191#1863C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1862C2211yescharacteristic, complemented
194#1851C2211yescharacteristic, complemented
195#1851C2211yescharacteristic, complemented
196#1825C2211yescharacteristic, complemented
197#1809C2211yescharacteristic, complemented
198#1797C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1786C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1786C2211yescharacteristic, complemented
204#1728C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4—21no—
211C23×D4—21no—
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C23×D4C2311yescharacteristic
216C2×AGL(1,ℤ/8)—24no—
217C2×AGL(1,ℤ/8)—24no—
218C2×AGL(1,ℤ/8)—42no—
219C2×AGL(1,ℤ/8)—42no—
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—
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C22×SD16C2311yescharacteristic
229C22×SD16C2311yescharacteristic
230C22×SD16C2311yescharacteristic
231C22×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×M16C2311yescharacteristic
241C22×M16C2311yescharacteristic
242C22×M16C2311yescharacteristic
243C22×M16C2311yescharacteristic
244#556—24no—
245#556—42no—
246#547—24no—
247#547—42no—
248D42—24no—
249D42—24no—
250D42—42no—
251D42—42no—
252D42—42no—
253D42—42no—
254D42—48no—
255C2×C4⋊Q8C2311yescharacteristic
256C2×C4⋊Q8C2311yescharacteristic
257C2×#127—21no—
258C2×#127—21no—
259C2×#127—21no—
260C2×#127—42no—
261C2×#127—42no—
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#127C2311yescharacteristic
266C2×#127C2311yescharacteristic
267C2×#127C2311yescharacteristic
268C2×#126—21no—
269C2×#126—21no—
270C2×#124—21no—
271C2×#123—21no—
272C2×#123—21no—
273C2×C22⋊Q8—21no—
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121D411yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×C4×Q8—21no—
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C2×#117C2311yescharacteristic
321C22×C4⋊C4—21no—
322C22×C42C2311yescharacteristic
323#492—24no—
324#486—24no—
325#482—24no—
326#482—24no—
327#474—24no—
328#469—42no—
329#468—24no—
330#468—24no—
331#468—42no—
332#468D418yescomplemented
333#461—24no—
334#460—24no—
335#460—42no—
336#460—42no—
337#459—24no—
338#450—24no—
339#450—24no—
340#450—24no—
341#450—24no—
342#450—42no—
343#449—24no—
344#449—24no—
345#449—42no—
346#449—42no—
347#447—42no—
348C4×SD16—24no—
349C4×D8—24no—
350#436—24no—
351#436—24no—
352C2×#107C2311yescharacteristic
353C2×#107C2311yescharacteristic
354C2×#107C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361#418—24no—
362#418—24no—
363#418—42no—
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C4×C8C2311yescharacteristic
407C2×C4×C8C2311yescharacteristic
408#400—21no—
409#400—21no—
410#398—21no—
411#398—21no—
412#397—21no—
413#397—21no—
414#396—21no—
415#396—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#393—21no—
425#393—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#391—21no—
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#390—21no—
446#390—21no—
447#390—21no—
448#390—21no—
449#390—21no—
450#390D411yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#389—21no—
460#389—21no—
461#389D411yescharacteristic
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#389C2311yescharacteristic
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388D411yescharacteristic
473#388D411yescharacteristic
474#387—21no—
475#387—21no—
476#387—21no—
477#387—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386D411yescharacteristic
489#386D411yescharacteristic
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#380—21no—
495#380D411yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500#379—21no—
501#379—21no—
502C4×C4⋊C4—21no—
503C4×C4⋊C4C2311yescharacteristic
504C4×C4⋊C4C2311yescharacteristic
505C4×C4⋊C4C2311yescharacteristic
506C4×C22⋊C4—21no—
507C4×C22⋊C4—21no—
508C4×C22⋊C4—21no—
509C4×C22⋊C4—21no—
510C4×C22⋊C4—21no—
511C4×C22⋊C4—21no—
512C4×C22⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25—21no—
538C2×#41—22no—
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C22×Q8—21no—
551C22×Q8C2411yescharacteristic
552C22×Q8C2411yescharacteristic
553C22×D4—21no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—22no—
557C22×D4—22no—
558C22×D4—22no—
559C22×D4—22no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—22no—
572C22×D4—22no—
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—21no—
582C22×D4—21no—
583C22×D4—21no—
584C22×D4—21no—
585C22×D4—21no—
586C22×D4—21no—
587C22×D4—22no—
588C22×D4—22no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
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—44no—
604C22×D4—44no—
605C22×D4—44no—
606C22×D4—44no—
607C22×D4—44no—
608C22×D4—44no—
609C22×D4—44no—
610C22×D4—44no—
611C22×D4—44no—
612C22×D4—82no—
613C22×D4—82no—
614C22×D4—82no—
615C22×D4—82no—
616C22×D4—82no—
617C22×D4—82no—
618C22×D4C2×D411yescharacteristic
619C22×D4C2×D411yescharacteristic
620C22×D4C2×D411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C22×D4C2411yescharacteristic
624C22×D4C2411yescharacteristic
625C22×D4C2411yescharacteristic
626C22×D4C2411yescharacteristic
627C23×C4—21no—
628C23×C4—21no—
629C23×C4—21no—
630C23×C4—21no—
631C23×C4—21no—
632C23×C4—21no—
633C23×C4C2×D411yescharacteristic
634C23×C4C2×D411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638AGL(1,ℤ/8)—416no—
639AGL(1,ℤ/8)—416no—
640AGL(1,ℤ/8)—416no—
641C2×SD16—22no—
642C2×SD16—22no—
643C2×SD16—22no—
644C2×SD16—22no—
645C2×SD16—22no—
646C2×SD16—22no—
647C2×SD16—22no—
648C2×SD16—22no—
649C2×SD16—22no—
650C2×SD16—22no—
651C2×SD16—22no—
652C2×SD16—41no—
653C2×SD16—41no—
654C2×SD16—41no—
655C2×SD16—41no—
656C2×SD16—41no—
657C2×SD16—41no—
658C2×SD16—41no—
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×SD16C2×D414yescomplemented
671C2×D8—22no—
672C2×D8—22no—
673C2×D8—22no—
674C2×D8—22no—
675C2×D8—22no—
676C2×D8—22no—
677C2×D8—22no—
678C2×D8—22no—
679C2×D8—22no—
680C2×D8—22no—
681C2×D8—41no—
682C2×D8—41no—
683C2×D8—41no—
684C2×D8—41no—
685C2×D8—41no—
686C2×M16—22no—
687C2×M16—22no—
688C2×M16—22no—
689C2×M16—41no—
690C2×M16—41no—
691C2×M16—41no—
692C2×M16—41no—
693C2×M16—41no—
694C2×M16—41no—
695C2×M16—41no—
696C2×M16—41no—
697C2×M16C2×D414yescomplemented
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C22×C8C2411yescharacteristic
703C22×C8C2411yescharacteristic
704C22×C8C2411yescharacteristic
705C22×C8C2411yescharacteristic
706C4⋊Q8—22no—
707C4⋊Q8—22no—
708C4⋊Q8—41no—
709C4⋊Q8—41no—
710#127—22no—
711#127—22no—
712#127—22no—
713#127—22no—
714#127—22no—
715#127—22no—
716#127—41no—
717#127—41no—
718#127—41no—
719#127—41no—
720#127—41no—
721#127—41no—
722#127—44no—
723#127—44no—
724#127—44no—
725#126—44no—
726#126—44no—
727#124—44no—
728#123—44no—
729#123—44no—
730C22⋊Q8—22no—
731C22⋊Q8—22no—
732C22⋊Q8—22no—
733C22⋊Q8—41no—
734C22⋊Q8—41no—
735C22⋊Q8—44no—
736C22⋊Q8—41no—
737C22⋊Q8—41no—
738C22⋊Q8C2×D414yescomplemented
739#121—22no—
740#121—24no—
741#121—22no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—22no—
746#121—44no—
747#121—44no—
748#121—44no—
749#121—44no—
750#121—44no—
751#121—41no—
752#121—41no—
753#121—41no—
754#121—41no—
755#121—41no—
756#121—44no—
757#121—44no—
758#121—41no—
759#121—41no—
760#121—41no—
761#121—41no—
762#121—82no—
763#121C2×D414yes—
764#120—44no—
765#120—44no—
766#120—44no—
767#120—44no—
768#120—44no—
769#120—44no—
770#120—44no—
771#120—44no—
772#120—44no—
773#120—44no—
774#120—82no—
775#120—82no—
776C4×Q8—22no—
777C4×Q8—41no—
778C4×Q8—41no—
779C4×Q8—41no—
780C4×Q8—44no—
781C4×D4—22no—
782C4×D4—22no—
783C4×D4—22no—
784C4×D4—22no—
785C4×D4—22no—
786C4×D4—22no—
787C4×D4—22no—
788C4×D4—41no—
789C4×D4—41no—
790C4×D4—41no—
791C4×D4—41no—
792C4×D4—41no—
793C4×D4—41no—
794C4×D4—41no—
795C4×D4—44no—
796C4×D4—44no—
797#117—22no—
798#117—22no—
799#117—22no—
800#117—41no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—21no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—21no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—44no—
815C2×C4⋊C4C2×D411yescharacteristic
816C2×C4⋊C4C2×D411yescharacteristic
817C2×C4⋊C4C2×D411yescharacteristic
818C2×C4⋊C4C2×D411yescharacteristic
819C2×C4⋊C4C2×D411yescharacteristic
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2411yescharacteristic
822C2×C4⋊C4C2411yescharacteristic
823C2×C4⋊C4C2411yescharacteristic
824C2×C4⋊C4C2411yescharacteristic
825C2×C4⋊C4C2411yescharacteristic
826C2×C4⋊C4C2411yescharacteristic
827C2×C4⋊C4C2411yescharacteristic
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C42—21no—
877C2×C42—21no—
878C2×C42—21no—
879C2×C42—21no—
880C2×C42—21no—
881C2×C42—21no—
882C2×C42—41no—
883C2×C42—41no—
884C2×C42C2×D411yescharacteristic
885C2×C42C2×D411yescharacteristic
886C2×C42C2411yescharacteristic
887C2×C42C2411yescharacteristic
888C2×C42C2411yescharacteristic
889C2×C42C2411yescharacteristic
890#107—22no—
891#107—41no—
892#107C2×D414yescomplemented
893#106—22no—
894#106—41no—
895C4⋊C8—22no—
896C4⋊C8—22no—
897C4⋊C8—41no—
898C4⋊C8—41no—
899#103—22no—
900#103—41no—
901#103—41no—
902#103—41no—
903#103—41no—
904#103C2×D414yescomplemented
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—22no—
912#102—22no—
913#102—22no—
914#102—22no—
915#102—22no—
916#102—22no—
917#102—22no—
918#102—22no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102—41no—
923#102—41no—
924#102—41no—
925#102—41no—
926#102—41no—
927#102—41no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102C2×D414yescomplemented
933C22⋊C8—22no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—41no—
938C22⋊C8—41no—
939C22⋊C8—41no—
940C22⋊C8—41no—
941C4×C8—22no—
942C4×C8—22no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95—21no—
950#95—21no—
951#95—21no—
952#95—21no—
953#95—21no—
954#95—21no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95C2×D411yescharacteristic
962#95C2×D411yescharacteristic
963#95C2×D411yescharacteristic
964#95C2×D411yescharacteristic
965#95C2×D411yescharacteristic
966#95C2×D411yescharacteristic
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24—21no—
972C24—21no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—42no—
982C24—42no—
983C24—42no—
984C24—42no—
985C24—42no—
986C24—42no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24—81no—
997C24—81no—
998C24—81no—
999C24—81no—
1000C24—81no—
1001C24C22×D411yescharacteristic
1002C24C22×D411yescharacteristic
1003C24C22×D411yescharacteristic
1004#41—44no—
1005#41—44no—
1006#41—44no—
1007#41—82no—
1008#41—82no—
1009#41—82no—
1010#41—82no—
1011#41—82no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—21no—
1020C2×Q8—21no—
1021C2×Q8—21no—
1022C2×Q8—21no—
1023C2×Q8—42no—
1024C2×Q8—42no—
1025C2×Q8—81no—
1026C2×Q8C22×D412yes—
1027C2×D4—24no—
1028C2×D4—22no—
1029C2×D4—22no—
1030C2×D4—24no—
1031C2×D4—24no—
1032C2×D4—22no—
1033C2×D4—22no—
1034C2×D4—22no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—21no—
1062C2×D4—21no—
1063C2×D4—21no—
1064C2×D4—21no—
1065C2×D4—21no—
1066C2×D4—21no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—41no—
1072C2×D4—41no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—42no—
1083C2×D4—42no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
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—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—81no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—81no—
1137C2×D4—81no—
1138C2×D4—81no—
1139C2×D4—81no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—82no—
1145C2×D4—82no—
1146C2×D4—82no—
1147C2×D4—82no—
1148C2×D4—82no—
1149C2×D4—82no—
1150C2×D4—816no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—816no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—816no—
1165C2×D4—816no—
1166C2×D4—816no—
1167C2×D4C22×D412yes—
1168C2×D4H(5,𝔽2)12yes—
1169C2×D4H(5,𝔽2)12yes—
1170C2×D4H(5,𝔽2)12yes—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—42no—
1206C22×C4—42no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—81no—
1217C22×C4—81no—
1218C22×C4—81no—
1219C22×C4—81no—
1220C22×C4—81no—
1221C22×C4C22×D411yescharacteristic
1222C22×C4C22×D411yescharacteristic
1223C22×C4C22×D411yescharacteristic
1224C22×C4C22×D411yescharacteristic
1225C22×C4C22×D411yescharacteristic
1226C22×C4C22×D411yescharacteristic
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D412yes—
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4H(5,𝔽2)12yes—
1234C22×C4C2511yescharacteristic
1235SD16—44no—
1236SD16—44no—
1237SD16—44no—
1238SD16—44no—
1239SD16—44no—
1240SD16—44no—
1241SD16—44no—
1242SD16—82no—
1243SD16—82no—
1244SD16—82no—
1245D8—28no—
1246D8—44no—
1247D8—44no—
1248D8—44no—
1249D8—44no—
1250M16—44no—
1251M16—44no—
1252M16—44no—
1253M16—82no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8C22×D412yes—
1277C2×C8C22×D412yes—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—81no—
1307C4⋊C4—81no—
1308C4⋊C4—81no—
1309C4⋊C4AGL(1,ℤ/8)14yescomplemented
1310C4⋊C4C22×D412yes—
1311C4⋊C4C22×D412yes—
1312C22⋊C4—24no—
1313C22⋊C4—22no—
1314C22⋊C4—22no—
1315C22⋊C4—24no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C42—21no—
1361C42—21no—
1362C42—21no—
1363C42—21no—
1364C42—21no—
1365C42—21no—
1366C42—21no—
1367C42—21no—
1368C42—41no—
1369C42—41no—
1370C42—42no—
1371C42—42no—
1372C42—42no—
1373C42—42no—
1374C42—81no—
1375C42—81no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—22no—
1389C23—21no—
1390C23—21no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—84no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—84no—
1451C23—84no—
1452C23—162no—
1453C23—162no—
1454C23—162no—
1455C23—162no—
1456C23—162no—
1457C23—162no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23—162no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23D4212yes—
1467C23C23×D411yescharacteristic
1468Q8—22no—
1469Q8—22no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—84no—
1477D4—22no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—22no—
1484D4—22no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—48no—
1489D4—48no—
1490D4—41no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—84no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—84no—
1524D4—84no—
1525D4—162no—
1526D4—162no—
1527D4—162no—
1528D4—162no—
1529D4—162no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4—84no—
1608C2×C4D4212yes—
1609C2×C4C2×AGL(1,ℤ/8)12yes—
1610C2×C4C2×AGL(1,ℤ/8)12yes—
1611C2×C4C2×AGL(1,ℤ/8)12yes—
1612C2×C4#57712yes—
1613C2×C4C23×D411yescharacteristic
1614C2×C4C2×H(5,𝔽2)11yescharacteristic
1615C2×C4C2×H(5,𝔽2)11yescharacteristic
1616C2×C4C2×H(5,𝔽2)11yescharacteristic
1617C2×C4C2×H(5,𝔽2)11yescharacteristic
1618C2×C4#58511yescharacteristic
1619C8—22no—
1620C8—22no—
1621C8—41no—
1622C8—41no—
1623C8—41no—
1624C8—41no—
1625C8—41no—
1626C8—41no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—81no—
1689C22—81no—
1690C22—168no—
1691C22—168no—
1692C22—168no—
1693C22—168no—
1694C22C2×D4211yescharacteristic
1695C22#348411yescharacteristic
1696C22#348811yescharacteristic
1697C22C22×AGL(1,ℤ/8)11yescharacteristic
1698C22C2×#57711yescharacteristic
1699C22#358511yescharacteristic
1700C22#358511yescharacteristic
1701C4—22no—
1702C4—22no—
1703C4—22no—
1704C4—22no—
1705C4—22no—
1706C4—41no—
1707C4—41no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4#348411yescharacteristic
1723C4#348811yescharacteristic
1724C4#353211yescharacteristic
1725C4#353411yescharacteristic
1726C2—42no—
1727C2—81no—
1728C2—81no—
1729C2—82no—
1730C2—82no—
1731C2—82no—
1732C2—82no—
1733C2—161no—
1734C2—161no—
1735C2#4309811yescharacteristic
1736C2D4×AGL(1,ℤ/8)11yescharacteristic
1737C2#6109511yescharacteristic
1738C2#6158211yescharacteristic
1739C2#6161011yescharacteristic
1740C2#6199911yescharacteristic
1741C2#6207911yescharacteristic
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×#3324C2semidirect
2. C2×#3272C2semidirect
3. #59811C2semidirect
4. #59126C2semidirect
5. #30926C2semidirect
6. #30874C2semidirect
7. #30860C2semidirect
8. #30736C2semidirect
9. #30730C2semidirect
10. #30527C2semidirect
11. #30515C2semidirect
12. #30456C2semidirect
13. #28116C2semidirect
14. #28110C2semidirect
15. #26889C2semidirect
16. #26619C2semidirect
17. #26586C2semidirect
18. #25159C2semidirect
19. #25097C2semidirect
20. #24448C2semidirect
21. #24370C2semidirect
22. #24277C2semidirect
23. #24211C2semidirect
24. #24044C2semidirect
25. #23979C2semidirect
26. #23864C2semidirect
27. #23860C2semidirect
28. #23860C2semidirect
29. #23430C2semidirect
30. #22191C2semidirect
31. #22178C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C2×#556C22semidirect
36. C2×#547C22semidirect
44. C2×#492C22semidirect
45. C2×#486C22semidirect
47. C2×#482C22semidirect
48. C2×#474C22semidirect
49. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
53. C2×#468C22semidirect
54. C2×#460C22semidirect
55. C2×#460C22semidirect
56. C2×#460C22semidirect
57. C2×#461C22semidirect
58. C2×#459C22semidirect
60. C2×#449C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#450C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
66. C2×#450C22semidirect
67. C2×#450C22semidirect
68. C2×#447C22semidirect
69. C2×C4×SD16C22semidirect
70. C2×C4×D8C22semidirect
71. C2×#436C22semidirect
72. C2×#436C22semidirect
73. C2×#418C22semidirect
74. C2×#418C22semidirect
75. C2×#418C22semidirect
85. #2492C22semidirect
86. #2485C22semidirect
89. #2452C22semidirect
90. #2446C22semidirect
94. #2429C22semidirect
98. #2415C22semidirect
102. #2407C22semidirect
103. #2407C22semidirect
107. #2363C22semidirect
109. #2341C22semidirect
110. C4×C22⋊Q8C22semidirect
113. #2297C22semidirect
114. #2068C22semidirect
115. #2067C22semidirect
116. #2065C22semidirect
117. #2065C22semidirect
118. #2055C22semidirect
119. #2055C22semidirect
120. #2054C22semidirect
121. #2054C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
128. #2033C22semidirect
129. #2033C22semidirect
130. #2023C22semidirect
131. #2023C22semidirect
134. #2014C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2013C22semidirect
140. #2013C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1982C22semidirect
155. #1982C22semidirect
156. #1970C22semidirect
157. #1968C22semidirect
158. #1934C22semidirect
159. #1934C22semidirect
160. #1927C22semidirect
161. #1927C22semidirect
162. #1926C22semidirect
163. #1925C22semidirect
164. #1923C22semidirect
165. #1923C22semidirect
166. #1921C22semidirect
167. #1918C22semidirect
168. #1916C22semidirect
169. #1916C22semidirect
171. #1895C22semidirect
172. #1895C22semidirect
173. #1894C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
182. #1877C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1875C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1870C22semidirect
189. #1870C22semidirect
190. #1864C22semidirect
191. #1863C22semidirect
192. #1862C22semidirect
193. #1862C22semidirect
194. #1851C22semidirect
195. #1851C22semidirect
196. #1825C22semidirect
197. #1809C22semidirect
198. #1797C22semidirect
199. #1788C22semidirect
200. #1786C22semidirect
201. #1786C22semidirect
202. #1786C22semidirect
203. #1786C22semidirect
204. #1728C22semidirect
332. #468D4semidirect
670. C2×SD16C2×D4semidirect
697. C2×M16C2×D4semidirect
738. C22⋊Q8C2×D4semidirect
892. #107C2×D4semidirect
904. #103C2×D4semidirect
932. #102C2×D4semidirect
1309. C4⋊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×#33242
C2×#32722
#598112
#591262
#309262
#308742
#308602
#307362
#307302
#305272
#305152
#304562
#281162
#281102
#268892
#266192
#265862
#251592
#250972
#244482
#243702
#242772
#242112
#240442
#239792
#238642
#238602
#234302
#221912
#221782