Finite Group Databasebeta

← #7146025

Subgroups — #7146025

Order 512.

2596 conjugacy classes of subgroups.

The subgroup lattice has 1747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3325C211yesmaximal, characteristic, complemented
2C2×#3264C211yesmaximal, characteristic, complemented
3#45355C211yesmaximal, characteristic, complemented
4#42677C211yesmaximal, characteristic, complemented
5#31063C211yesmaximal, characteristic, complemented
6#31056C211yesmaximal, characteristic, complemented
7#31036C211yesmaximal, characteristic, complemented
8#31028C211yesmaximal, characteristic, complemented
9#30574C211yesmaximal, characteristic, complemented
10#30558C211yesmaximal, characteristic, complemented
11#30416C211yesmaximal, characteristic, complemented
12#30414C211yesmaximal, characteristic, complemented
13#28627C211yesmaximal, characteristic, complemented
14#28393C211yesmaximal, characteristic, complemented
15#25885C211yesmaximal, characteristic, complemented
16#25763C211yesmaximal, characteristic, complemented
17#25390C211yesmaximal, characteristic, complemented
18#25354C211yesmaximal, characteristic, complemented
19#25132C211yesmaximal, characteristic, complemented
20#25120C211yesmaximal, characteristic, complemented
21#24448C211yesmaximal, characteristic, complemented
22#24440C211yesmaximal, characteristic, complemented
23#24277C211yesmaximal, characteristic, complemented
24#24272C211yesmaximal, characteristic, complemented
25#24245C211yesmaximal, characteristic, complemented
26#24129C211yesmaximal, characteristic, complemented
27#23860C211yesmaximal, characteristic, complemented
28#23848C211yesmaximal, characteristic, complemented
29#23688C211yesmaximal, characteristic, complemented
30#23178C211yesmaximal, characteristic, complemented
31#22158C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic, complemented
34C2×#555C2211yescharacteristic, complemented
35C2×#546C2211yescharacteristic, complemented
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×D42C2211yescharacteristic, complemented
39C2×D42C2211yescharacteristic, complemented
40#3325—28no—
41#3264—28no—
42C2×#496C2211yescharacteristic
43C2×#486C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#482C2211yescharacteristic, complemented
46C2×#476C2211yescharacteristic, complemented
47C2×#474C2211yescharacteristic, complemented
48C2×#469C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#469C2211yescharacteristic, complemented
51C2×#469C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#465C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#459C2211yescharacteristic
57C2×#449C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic, complemented
59C2×#450C2211yescharacteristic, complemented
60C2×#450C2211yescharacteristic, complemented
61C2×#450C2211yescharacteristic, complemented
62C2×#447C2211yescharacteristic, complemented
63C2×#447C2211yescharacteristic, complemented
64C2×#447C2211yescharacteristic, complemented
65C2×#447C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic, complemented
67C2×#447C2211yescharacteristic, complemented
68C2×#447C2211yescharacteristic, complemented
69C2×#442C2211yescharacteristic, complemented
70C2×C4×D8C2211yescharacteristic, complemented
71C2×#436C2211yescharacteristic, complemented
72C2×#436C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#418C2211yescharacteristic, complemented
76C2×#418C2211yescharacteristic, complemented
77#2815—21no—
78#2710—21no—
79#2710—21no—
80#2670—21no—
81#2670—21no—
82#2668—21no—
83#2668—21no—
84#2668—21no—
85#2668—21no—
86#2640C2211yescharacteristic, complemented
87#2624—21no—
88#2617—21no—
89#2547C2211yescharacteristic, complemented
90#2540C2211yescharacteristic, complemented
91#2535C2211yescharacteristic
92#2535C2211yescharacteristic
93#2535C2211yescharacteristic, complemented
94#2535C2211yescharacteristic, complemented
95#2482—21no—
96#2415C2211yescharacteristic, complemented
97#2415C2211yescharacteristic, complemented
98#2414C2211yescharacteristic, complemented
99#2414C2211yescharacteristic, complemented
100#2408C2211yescharacteristic
101#2408C2211yescharacteristic
102#2408C2211yescharacteristic, complemented
103#2408C2211yescharacteristic, complemented
104#2408C2211yescharacteristic, complemented
105#2408C2211yescharacteristic, complemented
106#2407C2211yescharacteristic, complemented
107#2407C2211yescharacteristic, complemented
108#2403—21no—
109#2403—21no—
110#2403—21no—
111#2403—21no—
112#2397C2211yescharacteristic
113#2328C2211yescharacteristic, complemented
114#2328C2211yescharacteristic, complemented
115#2319C2211yescharacteristic, complemented
116#2097C2211yescharacteristic, complemented
117#2092C2211yescharacteristic, complemented
118#2085C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2077C2211yescharacteristic, complemented
121#2073C2211yescharacteristic, complemented
122#2067C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2054C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2036C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2033C2211yescharacteristic, complemented
139#2033C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2033C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1993C2211yescharacteristic, complemented
157#1982C2211yescharacteristic, complemented
158#1973C2211yescharacteristic, complemented
159#1972C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1958C2211yescharacteristic, complemented
165#1955C2211yescharacteristic, complemented
166#1955C2211yescharacteristic, complemented
167#1954C2211yescharacteristic, complemented
168#1954C2211yescharacteristic, complemented
169#1949C2211yescharacteristic, complemented
170#1936C2211yescharacteristic, complemented
171#1934C2211yescharacteristic, complemented
172#1895C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1894C2211yescharacteristic, complemented
175#1893C2211yescharacteristic, complemented
176#1879C2211yescharacteristic, complemented
177#1879C2211yescharacteristic, complemented
178#1879C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1877C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1862C2211yescharacteristic, complemented
190#1854C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1807C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1786C2211yescharacteristic, complemented
197#1786C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1768C2211yescharacteristic, complemented
202#1768C2211yescharacteristic, complemented
203#1762C2211yescharacteristic, complemented
204C4×#102C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×D4—21no—
207C23×D4—21no—
208C23×D4—21no—
209C23×D4—21no—
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C23×D4C2311yescharacteristic
214C23×D4C2311yescharacteristic
215C2×AGL(1,ℤ/8)—24no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8—24no—
223C22×D8—42no—
224C22×D8—42no—
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C22×M16C2311yescharacteristic
235C22×M16C2311yescharacteristic
236C23×C8C2311yescharacteristic
237#555—24no—
238#555—42no—
239#546—24no—
240#546—42no—
241D42—24no—
242D42—24no—
243D42—42no—
244D42—42no—
245D42—42no—
246D42—42no—
247D42—42no—
248D42—42no—
249C2×C4⋊Q8C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#124—21no—
253C2×#124—21no—
254C2×#124—21no—
255C2×#124C2311yescharacteristic
256C2×#123—21no—
257C2×C22⋊Q8C2311yescharacteristic
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×#121—21no—
261C2×#121—21no—
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#120—21no—
280C2×#120—21no—
281C2×#120—21no—
282C2×#120—21no—
283C2×#120—21no—
284C2×#120—21no—
285C2×#120—21no—
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×#117—21no—
306C2×#117C2311yescharacteristic
307C2×#117C2311yescharacteristic
308C22×C22⋊C4—21no—
309#496—24no—
310#486—24no—
311#482—24no—
312#482—24no—
313#476—24no—
314#474—42no—
315#469—24no—
316#469—24no—
317#469—24no—
318#469—42no—
319#468—42no—
320#465—24no—
321#463—24no—
322#463—42no—
323#459D418yescomplemented
324#450—24no—
325#450—42no—
326#450—42no—
327#449—24no—
328#449—42no—
329#447—24no—
330#447—24no—
331#447—24no—
332#447—24no—
333#447—42no—
334#447—42no—
335#447—42no—
336#442—24no—
337C4×D8—24no—
338#436—24no—
339#436—42no—
340#435—24no—
341#435—42no—
342C2×#107C2311yescharacteristic
343C2×#107C2311yescharacteristic
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#106C2311yescharacteristic
347C2×#106C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354#418—24no—
355#418—24no—
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#102C2311yescharacteristic
361C2×#102C2311yescharacteristic
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×#97C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403C2×C4×C8C2311yescharacteristic
404#399—21no—
405#399D411yescharacteristic
406#399D411yescharacteristic
407#399D411yescharacteristic
408#399D411yescharacteristic
409#397—21no—
410#397—21no—
411#397—21no—
412#397—21no—
413#397—21no—
414#397—21no—
415#397—21no—
416#397—21no—
417#397—21no—
418#397—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394—21no—
430#394—21no—
431#393—21no—
432#393—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—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#392D411yescharacteristic
449#392D411yescharacteristic
450#392D411yescharacteristic
451#392D411yescharacteristic
452#391—21no—
453#391C2311yescharacteristic
454#391C2311yescharacteristic
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#389—21no—
468#389—21no—
469#389C2311yescharacteristic
470#389C2311yescharacteristic
471#388—21no—
472#388—21no—
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#386—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#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#385—21no—
496#385—21no—
497#382C2311yescharacteristic
498#382C2311yescharacteristic
499#381—21no—
500#380—21no—
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513#379—21no—
514#379—21no—
515C4×C4⋊C4C2311yescharacteristic
516#376C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C25—21no—
535C25—21no—
536C25—21no—
537C25—21no—
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C22×Q8—21no—
545C22×Q8C2411yescharacteristic
546C22×D4—22no—
547C22×D4—22no—
548C22×D4—22no—
549C22×D4—22no—
550C22×D4—22no—
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
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—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
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—44no—
600C22×D4—44no—
601C22×D4—44no—
602C22×D4—44no—
603C22×D4—82no—
604C22×D4—82no—
605C22×D4—82no—
606C22×D4—82no—
607C22×D4—82no—
608C22×D4—82no—
609C22×D4—82no—
610C22×D4—82no—
611C22×D4C2×D411yescharacteristic
612C22×D4C2×D411yescharacteristic
613C22×D4C2×D411yescharacteristic
614C22×D4C2×D411yescharacteristic
615C22×D4C2×D411yescharacteristic
616C22×D4C2×D411yescharacteristic
617C22×D4C2411yescharacteristic
618C22×D4C2411yescharacteristic
619C22×D4C2411yescharacteristic
620C22×D4C2411yescharacteristic
621C22×D4C2411yescharacteristic
622C22×D4C2411yescharacteristic
623C23×C4—21no—
624C23×C4—21no—
625C23×C4—21no—
626C23×C4—21no—
627C23×C4—21no—
628C23×C4—21no—
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633AGL(1,ℤ/8)—416no—
634C2×SD16—22no—
635C2×SD16—22no—
636C2×SD16—22no—
637C2×SD16—22no—
638C2×SD16—22no—
639C2×SD16—22no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—41no—
658C2×D8—41no—
659C2×D8—41no—
660C2×D8—41no—
661C2×D8—41no—
662C2×D8—41no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—416no—
669C2×D8C2×D414yescomplemented
670C2×D8C2×D414yescomplemented
671C2×M16—22no—
672C2×M16—22no—
673C2×M16—22no—
674C2×M16—22no—
675C2×M16—41no—
676C2×M16—41no—
677C2×M16—41no—
678C2×M16—41no—
679C2×M16—41no—
680C22×C8—22no—
681C22×C8—22no—
682C22×C8—41no—
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685C22×C8C2411yescharacteristic
686C22×C8C2411yescharacteristic
687C22×C8C2411yescharacteristic
688C22×C8C2411yescharacteristic
689C22×C8C2411yescharacteristic
690C22×C8C2411yescharacteristic
691C4⋊Q8—22no—
692C4⋊Q8—22no—
693#127—22no—
694#127—22no—
695#127—22no—
696#127C2×D414yes—
697#124—22no—
698#124—22no—
699#124—44no—
700#124—44no—
701#124—82no—
702#123—44no—
703C22⋊Q8—22no—
704C22⋊Q8—41no—
705C22⋊Q8—41no—
706C22⋊Q8—41no—
707C22⋊Q8—41no—
708C22⋊Q8—41no—
709#121—22no—
710#121—22no—
711#121—22no—
712#121—22no—
713#121—22no—
714#121—22no—
715#121—22no—
716#121—22no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—44no—
721#121—41no—
722#121—41no—
723#121—41no—
724#121—41no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—41no—
732#121—44no—
733#121—44no—
734#121—44no—
735#121—44no—
736#121—44no—
737#121—41no—
738#121—41no—
739#121—41no—
740#121—41no—
741#120—44no—
742#120—44no—
743#120—44no—
744#120—44no—
745#120—44no—
746#120—44no—
747#120—44no—
748#120—44no—
749#120—44no—
750#120—82no—
751#120—82no—
752#120—82no—
753#120—82no—
754#120—82no—
755#120—82no—
756C4×D4—22no—
757C4×D4—22no—
758C4×D4—22no—
759C4×D4—22no—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—41no—
766C4×D4—41no—
767C4×D4—41no—
768C4×D4—41no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4—41no—
773C4×D4—41no—
774C4×D4—41no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4C2×D414yescomplemented
778#117—22no—
779#117—22no—
780#117—41no—
781#117—41no—
782#117—44no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4C2×D411yescharacteristic
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2×D411yescharacteristic
792C2×C4⋊C4C2×D411yescharacteristic
793C2×C4⋊C4C2×D411yescharacteristic
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
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—44no—
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C22⋊C4C2×D411yescharacteristic
857C2×C22⋊C4C2×D411yescharacteristic
858C2×C22⋊C4C2×D411yescharacteristic
859C2×C22⋊C4C2×D411yescharacteristic
860C2×C22⋊C4C2×D411yescharacteristic
861C2×C22⋊C4C2×D411yescharacteristic
862C2×C22⋊C4C2×D411yescharacteristic
863C2×C22⋊C4C2×D411yescharacteristic
864C2×C22⋊C4C2×D411yescharacteristic
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C42—21no—
867C2×C42—21no—
868C2×C42—21no—
869C2×C42C2411yescharacteristic
870C2×C42C2411yescharacteristic
871C2×C42C2411yescharacteristic
872#107—22no—
873#107—41no—
874#107—41no—
875#107—41no—
876#106—22no—
877#106—22no—
878#106—22no—
879#106—41no—
880C4⋊C8—22no—
881C4⋊C8—22no—
882C4⋊C8—41no—
883C4⋊C8C2×D414yescomplemented
884#103—22no—
885#103—41no—
886#103—41no—
887#103—41no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—22no—
897#102—22no—
898#102—22no—
899#102—22no—
900#102—22no—
901#102—22no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102—41no—
909#102—41no—
910#102—41no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102C2×D414yescomplemented
915#102C2×D414yescomplemented
916C22⋊C8—22no—
917C22⋊C8—22no—
918C22⋊C8—22no—
919C22⋊C8—22no—
920C22⋊C8—22no—
921C22⋊C8—22no—
922C22⋊C8—41no—
923C22⋊C8—41no—
924C22⋊C8—41no—
925C22⋊C8—41no—
926C22⋊C8—41no—
927C22⋊C8—41no—
928#97—22no—
929#97—41no—
930C4×C8—22no—
931C4×C8—41no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
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#95C2×D411yescharacteristic
952#95C2×D411yescharacteristic
953#95C2×D411yescharacteristic
954#95C2×D411yescharacteristic
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—42no—
962C24—42no—
963C24—42no—
964C24—42no—
965C24—42no—
966C24—42no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—81no—
976C24—81no—
977C24—81no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24—81no—
995C24—81no—
996C24C22×D411yescharacteristic
997C24C22×D411yescharacteristic
998C24C22×D411yescharacteristic
999C24C22×D411yescharacteristic
1000#41—44no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—42no—
1011C2×Q8—81no—
1012C2×Q8—81no—
1013C2×D4—22no—
1014C2×D4—22no—
1015C2×D4—24no—
1016C2×D4—24no—
1017C2×D4—22no—
1018C2×D4—22no—
1019C2×D4—22no—
1020C2×D4—24no—
1021C2×D4—24no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
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—41no—
1054C2×D4—41no—
1055C2×D4—41no—
1056C2×D4—41no—
1057C2×D4—41no—
1058C2×D4—41no—
1059C2×D4—41no—
1060C2×D4—41no—
1061C2×D4—41no—
1062C2×D4—41no—
1063C2×D4—41no—
1064C2×D4—41no—
1065C2×D4—41no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
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—42no—
1099C2×D4—42no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4—82no—
1117C2×D4—82no—
1118C2×D4—82no—
1119C2×D4—82no—
1120C2×D4—82no—
1121C2×D4—82no—
1122C2×D4—82no—
1123C2×D4—82no—
1124C2×D4—82no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
1128C2×D4—82no—
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—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—816no—
1152C2×D4—816no—
1153C2×D4—816no—
1154C2×D4—816no—
1155C2×D4C22×D412yes—
1156C2×D4C22×D412yes—
1157C2×D4C22×D412yes—
1158C2×D4H(5,𝔽2)12yes—
1159C2×D4H(5,𝔽2)12yes—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—21no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—24no—
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—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—81no—
1201C22×C4—81no—
1202C22×C4—81no—
1203C22×C4—81no—
1204C22×C4—81no—
1205C22×C4—81no—
1206C22×C4—81no—
1207C22×C4—81no—
1208C22×C4—81no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—81no—
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4C22×D411yescharacteristic
1215C22×C4C22×D411yescharacteristic
1216C22×C4C22×D411yescharacteristic
1217C22×C4C22×D411yescharacteristic
1218C22×C4C22×D411yescharacteristic
1219C22×C4C22×D411yescharacteristic
1220C22×C4C22×D411yescharacteristic
1221C22×C4C22×D411yescharacteristic
1222C22×C4C2511yescharacteristic
1223SD16—44no—
1224SD16—44no—
1225SD16—82no—
1226SD16—82no—
1227D8—28no—
1228D8—44no—
1229D8—44no—
1230D8—44no—
1231D8—44no—
1232D8—44no—
1233D8—82no—
1234D8—82no—
1235M16—44no—
1236M16—82no—
1237M16—82no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—21no—
1250C2×C8—21no—
1251C2×C8—21no—
1252C2×C8—21no—
1253C2×C8—21no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—44no—
1260C2×C8C22×D412yes—
1261C2×C8C22×D412yes—
1262C2×C8H(5,𝔽2)12yes—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—21no—
1273C4⋊C4—21no—
1274C4⋊C4—21no—
1275C4⋊C4—21no—
1276C4⋊C4—21no—
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—81no—
1289C4⋊C4—81no—
1290C4⋊C4—81no—
1291C4⋊C4—81no—
1292C4⋊C4C22×D412yes—
1293C22⋊C4—24no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C22⋊C4—81no—
1345C22⋊C4—81no—
1346C22⋊C4—81no—
1347C22⋊C4—81no—
1348C22⋊C4—81no—
1349C22⋊C4—81no—
1350C22⋊C4—81no—
1351C22⋊C4—81no—
1352C22⋊C4—81no—
1353C22⋊C4—81no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—42no—
1359C42—42no—
1360C42—81no—
1361C42C22×D412yes—
1362C42H(5,𝔽2)12yes—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—22no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—41no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
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—84no—
1433C23—84no—
1434C23—84no—
1435C23—84no—
1436C23—84no—
1437C23—84no—
1438C23—84no—
1439C23—84no—
1440C23—84no—
1441C23—84no—
1442C23—84no—
1443C23—84no—
1444C23—84no—
1445C23—84no—
1446C23—162no—
1447C23—162no—
1448C23—162no—
1449C23—162no—
1450C23—162no—
1451C23—162no—
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—
1466C23—162no—
1467C23#57612yes—
1468C23C23×D411yescharacteristic
1469Q8—41no—
1470Q8—41no—
1471Q8—41no—
1472Q8—41no—
1473Q8—162no—
1474D4—22no—
1475D4—22no—
1476D4—22no—
1477D4—22no—
1478D4—22no—
1479D4—22no—
1480D4—22no—
1481D4—22no—
1482D4—22no—
1483D4—22no—
1484D4—44no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—41no—
1489D4—41no—
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—84no—
1503D4—84no—
1504D4—82no—
1505D4—84no—
1506D4—84no—
1507D4—82no—
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—162no—
1523D4—162no—
1524D4—162no—
1525D4—162no—
1526D4—162no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
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—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
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—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—84no—
1606C2×C4—84no—
1607C2×C4D4212yes—
1608C2×C4D4212yes—
1609C2×C4C23×D411yescharacteristic
1610C2×C4C2×H(5,𝔽2)11yescharacteristic
1611C2×C4C2×H(5,𝔽2)11yescharacteristic
1612C2×C4C2×H(5,𝔽2)11yescharacteristic
1613C2×C4C2×H(5,𝔽2)11yescharacteristic
1614C2×C4#58511yescharacteristic
1615C8—22no—
1616C8—22no—
1617C8—22no—
1618C8—41no—
1619C8—41no—
1620C8—41no—
1621C8—41no—
1622C8—41no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—41no—
1647C22—42no—
1648C22—42no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
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—81no—
1691C22—81no—
1692C22—81no—
1693C22—168no—
1694C22—168no—
1695C22—168no—
1696C22—168no—
1697C22—168no—
1698C22C2×D4211yescharacteristic
1699C22#348411yescharacteristic
1700C22#349611yescharacteristic
1701C22C2×#57611yescharacteristic
1702C22#358511yescharacteristic
1703C22#358511yescharacteristic
1704C22#358511yescharacteristic
1705C4—22no—
1706C4—22no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—41no—
1711C4—41no—
1712C4—41no—
1713C4—42no—
1714C4—41no—
1715C4—41no—
1716C4—81no—
1717C4—81no—
1718C4—81no—
1719C4—81no—
1720C4—81no—
1721C4—81no—
1722C4—81no—
1723C4—81no—
1724C4—81no—
1725C4#348411yescharacteristic
1726C4#348811yescharacteristic
1727C4#354311yescharacteristic
1728C4#355811yescharacteristic
1729C2—42no—
1730C2—81no—
1731C2—81no—
1732C2—81no—
1733C2—82no—
1734C2—82no—
1735C2—82no—
1736C2—82no—
1737C2—82no—
1738C2—161no—
1739C2#4487711yescharacteristic
1740C2#6105811yescharacteristic
1741C2#6107211yescharacteristic
1742C2#6160911yescharacteristic
1743C2#6164411yescharacteristic
1744C2#6228611yescharacteristic
1745C2#6231511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2397 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3325C2semidirect
2. C2×#3264C2semidirect
3. #45355C2semidirect
4. #42677C2semidirect
5. #31063C2semidirect
6. #31056C2semidirect
7. #31036C2semidirect
8. #31028C2semidirect
9. #30574C2semidirect
10. #30558C2semidirect
11. #30416C2semidirect
12. #30414C2semidirect
13. #28627C2semidirect
14. #28393C2semidirect
15. #25885C2semidirect
16. #25763C2semidirect
17. #25390C2semidirect
18. #25354C2semidirect
19. #25132C2semidirect
20. #25120C2semidirect
21. #24448C2semidirect
22. #24440C2semidirect
23. #24277C2semidirect
24. #24272C2semidirect
25. #24245C2semidirect
26. #24129C2semidirect
27. #23860C2semidirect
28. #23848C2semidirect
29. #23688C2semidirect
30. #23178C2semidirect
31. #22158C2semidirect
32. C22×AGL(1,ℤ/8)C22semidirect
33. C23×D8C22semidirect
34. C2×#555C22semidirect
35. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×D42C22semidirect
43. C2×#486C22semidirect
44. C2×#482C22semidirect
45. C2×#482C22semidirect
46. C2×#476C22semidirect
47. C2×#474C22semidirect
48. C2×#469C22semidirect
49. C2×#469C22semidirect
50. C2×#469C22semidirect
51. C2×#469C22semidirect
52. C2×#468C22semidirect
53. C2×#465C22semidirect
54. C2×#463C22semidirect
55. C2×#463C22semidirect
57. C2×#449C22semidirect
58. C2×#449C22semidirect
59. C2×#450C22semidirect
60. C2×#450C22semidirect
61. C2×#450C22semidirect
62. C2×#447C22semidirect
63. C2×#447C22semidirect
64. C2×#447C22semidirect
65. C2×#447C22semidirect
66. C2×#447C22semidirect
67. C2×#447C22semidirect
68. C2×#447C22semidirect
69. C2×#442C22semidirect
70. C2×C4×D8C22semidirect
71. C2×#436C22semidirect
72. C2×#436C22semidirect
73. C2×#435C22semidirect
74. C2×#435C22semidirect
75. C2×#418C22semidirect
76. C2×#418C22semidirect
86. #2640C22semidirect
89. #2547C22semidirect
90. #2540C22semidirect
93. #2535C22semidirect
94. #2535C22semidirect
96. #2415C22semidirect
97. #2415C22semidirect
98. #2414C22semidirect
99. #2414C22semidirect
102. #2408C22semidirect
103. #2408C22semidirect
104. #2408C22semidirect
105. #2408C22semidirect
106. #2407C22semidirect
107. #2407C22semidirect
113. #2328C22semidirect
114. #2328C22semidirect
115. #2319C22semidirect
116. #2097C22semidirect
117. #2092C22semidirect
118. #2085C22semidirect
119. #2077C22semidirect
120. #2077C22semidirect
121. #2073C22semidirect
122. #2067C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2054C22semidirect
130. #2041C22semidirect
131. #2036C22semidirect
132. #2035C22semidirect
133. #2034C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2033C22semidirect
139. #2033C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2033C22semidirect
143. #2014C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
149. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1993C22semidirect
157. #1982C22semidirect
158. #1973C22semidirect
159. #1972C22semidirect
160. #1972C22semidirect
161. #1970C22semidirect
162. #1970C22semidirect
163. #1968C22semidirect
164. #1958C22semidirect
165. #1955C22semidirect
166. #1955C22semidirect
167. #1954C22semidirect
168. #1954C22semidirect
169. #1949C22semidirect
170. #1936C22semidirect
171. #1934C22semidirect
172. #1895C22semidirect
173. #1895C22semidirect
174. #1894C22semidirect
175. #1893C22semidirect
176. #1879C22semidirect
177. #1879C22semidirect
178. #1879C22semidirect
179. #1879C22semidirect
180. #1877C22semidirect
181. #1877C22semidirect
182. #1875C22semidirect
183. #1875C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1864C22semidirect
189. #1862C22semidirect
190. #1854C22semidirect
191. #1854C22semidirect
192. #1809C22semidirect
193. #1807C22semidirect
194. #1804C22semidirect
195. #1788C22semidirect
196. #1786C22semidirect
197. #1786C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. #1768C22semidirect
202. #1768C22semidirect
203. #1762C22semidirect
204. C4×#102C22semidirect
323. #459D4semidirect
669. C2×D8C2×D4semidirect
670. C2×D8C2×D4semidirect
777. C4×D4C2×D4semidirect
883. C4⋊C8C2×D4semidirect
914. #102C2×D4semidirect
915. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33252
C2×#32642
#453552
#426772
#310632
#310562
#310362
#310282
#305742
#305582
#304162
#304142
#286272
#283932
#258852
#257632
#253902
#253542
#251322
#251202
#244482
#244402
#242772
#242722
#242452
#241292
#238602
#238482
#236882
#231782
#221582