Finite Group Databasebeta

← #6535844

Subgroups — #6535844

Order 512.

2521 conjugacy classes of subgroups.

The subgroup lattice has 1717 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3273C211yesmaximal, characteristic, complemented
2C2×#2978C211yesmaximal, characteristic, complemented
3#37658C211yesmaximal, characteristic, complemented
4#37648C211yesmaximal, characteristic, complemented
5#29813C211yesmaximal, characteristic, complemented
6#29747C211yesmaximal, characteristic, complemented
7#29744C211yesmaximal, characteristic, complemented
8#28569C211yesmaximal, characteristic, complemented
9#28560C211yesmaximal, characteristic, complemented
10#28487C211yesmaximal, characteristic, complemented
11#28149C211yesmaximal, characteristic, complemented
12#25401C211yesmaximal, characteristic, complemented
13#25397C211yesmaximal, characteristic, complemented
14#25135C211yesmaximal, characteristic, complemented
15#25132C211yesmaximal, characteristic, complemented
16#25127C211yesmaximal, characteristic, complemented
17#25124C211yesmaximal, characteristic, complemented
18#24667C211yesmaximal, characteristic, complemented
19#24663C211yesmaximal, characteristic, complemented
20#24395C211yesmaximal, characteristic, complemented
21#24390C211yesmaximal, characteristic, complemented
22#24389C211yesmaximal, characteristic, complemented
23#24384C211yesmaximal, characteristic, complemented
24#24277C211yesmaximal, characteristic, complemented
25#24275C211yesmaximal, characteristic, complemented
26#23702C211yesmaximal, characteristic, complemented
27#23393C211yesmaximal, characteristic, complemented
28#23391C211yesmaximal, characteristic, complemented
29#22715C211yesmaximal, characteristic, complemented
30#22424C211yesmaximal, characteristic, complemented
31#22419C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×#546C2211yescharacteristic
36C2×#537C2211yescharacteristic
37C2×#535C2211yescharacteristic, complemented
38C2×#525C2211yescharacteristic
39C2×#525C2211yescharacteristic
40C22×#121C2211yescharacteristic, complemented
41#3273—28no—
42C2×#495C2211yescharacteristic, complemented
43C2×#470C2211yescharacteristic, complemented
44C2×#470C2211yescharacteristic, complemented
45C2×#469C2211yescharacteristic
46C2×#469C2211yescharacteristic
47C2×#469C2211yescharacteristic, complemented
48C2×#468C2211yescharacteristic
49C2×#468C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic, complemented
51C2×#466C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic, complemented
57C2×#447C2211yescharacteristic
58C2×#447C2211yescharacteristic, complemented
59#2978—28no—
60C2×C4×D8C2211yescharacteristic, complemented
61C2×#436C2211yescharacteristic
62C2×#436C2211yescharacteristic, complemented
63C2×#436C2211yescharacteristic, complemented
64C2×#436C2211yescharacteristic, complemented
65C2×#435C2211yescharacteristic
66C2×#435C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×#435C2211yescharacteristic, complemented
69C2×#433C2211yescharacteristic, complemented
70C2×#433C2211yescharacteristic, complemented
71C2×#417C2211yescharacteristic
72C2×#418C2211yescharacteristic, complemented
73C2×#416C2211yescharacteristic, complemented
74C22×#102C2211yescharacteristic, complemented
75C2×#408C2211yescharacteristic, complemented
76C2×#408C2211yescharacteristic, complemented
77C2×#407C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic, complemented
79#2848C2211yescharacteristic, complemented
80#2847C2211yescharacteristic
81#2682—21no—
82#2681—21no—
83#2679—21no—
84#2678—21no—
85#2675—21no—
86#2672—21no—
87#2671—21no—
88#2669—21no—
89#2620C2211yescharacteristic, complemented
90#2620C2211yescharacteristic, complemented
91#2616C2211yescharacteristic, complemented
92#2615C2211yescharacteristic
93#2540C2211yescharacteristic, complemented
94#2540C2211yescharacteristic, complemented
95#2537C2211yescharacteristic, complemented
96#2537C2211yescharacteristic, complemented
97#2461—21no—
98#2445—21no—
99#2437—21no—
100#2424—21no—
101#2424—21no—
102#2418—21no—
103#2417C2211yescharacteristic, complemented
104#2416C2211yescharacteristic
105#2415C2211yescharacteristic, complemented
106#2414C2211yescharacteristic
107#2410—21no—
108#2408—21no—
109#2408C2211yescharacteristic, complemented
110#2408C2211yescharacteristic, complemented
111#2407C2211yescharacteristic
112#2407C2211yescharacteristic
113#2354C2211yescharacteristic
114D4×C4⋊C4C2211yescharacteristic
115#2324C2211yescharacteristic, complemented
116#2324C2211yescharacteristic, complemented
117#2086C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2075C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2065C2211yescharacteristic, complemented
123#2056C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#2000C2211yescharacteristic, complemented
143#2000C2211yescharacteristic, complemented
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#2000C2211yescharacteristic, complemented
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic
151#1999C2211yescharacteristic
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1983C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1973C2211yescharacteristic, complemented
160#1972C2211yescharacteristic, complemented
161#1970C2211yescharacteristic, complemented
162#1968C2211yescharacteristic, complemented
163#1959C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1948C2211yescharacteristic, complemented
166#1947C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1935C2211yescharacteristic, complemented
169#1934C2211yescharacteristic, complemented
170#1933C2211yescharacteristic, complemented
171#1895C2211yescharacteristic
172#1895C2211yescharacteristic, complemented
173#1895C2211yescharacteristic, complemented
174#1895C2211yescharacteristic, complemented
175#1895C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1894C2211yescharacteristic, complemented
179#1893C2211yescharacteristic, complemented
180#1893C2211yescharacteristic, complemented
181#1892C2211yescharacteristic, complemented
182#1892C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1874C2211yescharacteristic
185#1873C2211yescharacteristic, complemented
186#1872C2211yescharacteristic, complemented
187#1854C2211yescharacteristic, complemented
188#1854C2211yescharacteristic, complemented
189#1853C2211yescharacteristic, complemented
190#1853C2211yescharacteristic, complemented
191#1834C2211yescharacteristic, complemented
192#1809C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1802C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200C4×#106C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1762C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204#1736C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C24×C4C2311yescharacteristic
212C2×AGL(1,ℤ/8)—24no—
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—42no—
215C2×AGL(1,ℤ/8)—42no—
216C2×AGL(1,ℤ/8)—42no—
217C2×AGL(1,ℤ/8)—42no—
218C22×Q16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C23×C8C2311yescharacteristic
234C23×C8C2311yescharacteristic
235#546—24no—
236#546—24no—
237#546—24no—
238#546—24no—
239#537—42no—
240#537—42no—
241#535—42no—
242#535—42no—
243C2×#127—21no—
244C2×#124—21no—
245C2×#124C2311yescharacteristic
246C2×#124C2311yescharacteristic
247#525—24no—
248#525—24no—
249#525—42no—
250#525—42no—
251C2×#123—21no—
252C2×#123—21no—
253C2×#123—21no—
254C2×#123D411yescharacteristic
255C2×#123D411yescharacteristic
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8D411yescharacteristic
258C2×C22⋊Q8D411yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×C22⋊Q8C2311yescharacteristic
263C2×C22⋊Q8C2311yescharacteristic
264C2×C22⋊Q8C2311yescharacteristic
265C2×C22⋊Q8C2311yescharacteristic
266C2×C22⋊Q8C2311yescharacteristic
267C2×#121—21no—
268C2×#121—21no—
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—42no—
278C2×#121—42no—
279C2×#121D411yescharacteristic
280C2×#121D411yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
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×#120D411yescharacteristic
304C2×#120D411yescharacteristic
305C2×C4×D4—21no—
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×C4×D4C2311yescharacteristic
309C2×C4×D4C2311yescharacteristic
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C2×C4×D4C2311yescharacteristic
314C2×#117C2311yescharacteristic
315C2×#117C2311yescharacteristic
316C2×#117C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C22⋊C4—21no—
320C22×C22⋊C4—21no—
321C22×C22⋊C4—21no—
322#495—24no—
323#470—42no—
324#470—42no—
325#469—42no—
326#469—42no—
327#469—42no—
328#468—24no—
329#468—24no—
330#468—42no—
331#466—42no—
332#465—42no—
333#463—24no—
334#463—24no—
335#452—24no—
336#452—24no—
337#447—24no—
338#447—24no—
339C4×D8—24no—
340#436—24no—
341#436—24no—
342#436—24no—
343#436D418yescomplemented
344#435—24no—
345#435—24no—
346#435—24no—
347#435—24no—
348#433—24no—
349#433—24no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×#106C2311yescharacteristic
356C2×#106C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×C4⋊C8C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361#418—42no—
362#417—42no—
363#416—42no—
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#102—42no—
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
395#408—24no—
396#408—24no—
397#407—24no—
398#407—24no—
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×#97C2311yescharacteristic
412C2×#97C2311yescharacteristic
413C2×C4×C8C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415#399—21no—
416#399—21no—
417#398—21no—
418#397—21no—
419#396—21no—
420#396—21no—
421#396—21no—
422#396—21no—
423#396—21no—
424#396—21no—
425#395—21no—
426#394—21no—
427#394—21no—
428#394—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#394—21no—
440#394—21no—
441#394—21no—
442#394—21no—
443#394—21no—
444#393—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#392—21no—
454#392—21no—
455#391C2311yescharacteristic
456#391C2311yescharacteristic
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390—21no—
464#390—21no—
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#389—21no—
470#389—21no—
471#389C2311yescharacteristic
472#389C2311yescharacteristic
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#388—21no—
478#388—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#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#384C2311yescharacteristic
498#384C2311yescharacteristic
499#380—21no—
500#380—21no—
501#380—21no—
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379—21no—
515C4×C4⋊C4—21no—
516C4×C4⋊C4C2311yescharacteristic
517C4×C4⋊C4C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#340C2311yescharacteristic
534#340C2311yescharacteristic
535#340C2311yescharacteristic
536C25—21no—
537C25—21no—
538C25C2×D411yescharacteristic
539C2×#41—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
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×#41—41no—
556C2×#41—41no—
557C22×Q8C2×D411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×Q8C2411yescharacteristic
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—22no—
563C22×D4—22no—
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—22no—
579C22×D4—22no—
580C22×D4—21no—
581C22×D4—21no—
582C22×D4—22no—
583C22×D4—22no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—44no—
591C22×D4—82no—
592C22×D4—82no—
593C22×D4C2×D411yescharacteristic
594C22×D4C2×D411yescharacteristic
595C22×D4C2×D411yescharacteristic
596C22×D4C2×D411yescharacteristic
597C22×D4C2×D411yescharacteristic
598C22×D4C2×D411yescharacteristic
599C22×D4C2×D411yescharacteristic
600C22×D4C2411yescharacteristic
601C22×D4C2411yescharacteristic
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C23×C4—22no—
605C23×C4—22no—
606C23×C4—21no—
607C23×C4—21no—
608C23×C4—21no—
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—41no—
613C23×C4—41no—
614C23×C4—41no—
615C23×C4—41no—
616C23×C4C2×D411yescharacteristic
617C23×C4C2×D411yescharacteristic
618C23×C4C2×D411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624AGL(1,ℤ/8)—416no—
625AGL(1,ℤ/8)—416no—
626C2×Q16—22no—
627C2×Q16—41no—
628C2×Q16—41no—
629C2×SD16—22no—
630C2×SD16—22no—
631C2×SD16—22no—
632C2×SD16—22no—
633C2×SD16—22no—
634C2×SD16—22no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—22no—
646C2×D8—22no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×M16—22no—
654C2×M16—22no—
655C2×M16—22no—
656C2×M16—22no—
657C2×M16—41no—
658C2×M16—41no—
659C2×M16—41no—
660C2×M16—41no—
661C2×M16—41no—
662C2×M16—41no—
663C2×M16—41no—
664C2×M16—41no—
665C2×M16—41no—
666C2×M16—41no—
667C2×M16—41no—
668C2×M16—41no—
669C2×M16C2×D414yes—
670C2×M16C2×D414yescomplemented
671C22×C8—22no—
672C22×C8—22no—
673C22×C8—41no—
674C22×C8—41no—
675C22×C8—41no—
676C22×C8—41no—
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C22×C8C2411yescharacteristic
680C22×C8C2411yescharacteristic
681C22×C8C2411yescharacteristic
682C22×C8C2411yescharacteristic
683C22×C8C2411yescharacteristic
684C22×C8C2411yescharacteristic
685#127—44no—
686#124—22no—
687#124—22no—
688#124—22no—
689#124—22no—
690#124—44no—
691#123—24no—
692#123—24no—
693#123—44no—
694#123—44no—
695#123—44no—
696C22⋊Q8—24no—
697C22⋊Q8—24no—
698C22⋊Q8—22no—
699C22⋊Q8—22no—
700C22⋊Q8—22no—
701C22⋊Q8—22no—
702C22⋊Q8—22no—
703C22⋊Q8—22no—
704C22⋊Q8—44no—
705C22⋊Q8—41no—
706C22⋊Q8—41no—
707C22⋊Q8—41no—
708C22⋊Q8—41no—
709C22⋊Q8—41no—
710C22⋊Q8—41no—
711C22⋊Q8—41no—
712C22⋊Q8—41no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715#121—24no—
716#121—22no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—24no—
721#121—22no—
722#121—22no—
723#121—22no—
724#121—22no—
725#121—22no—
726#121—22no—
727#121—22no—
728#121—22no—
729#121—22no—
730#121—22no—
731#121—44no—
732#121—44no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—41no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—41no—
743#121—44no—
744#121—44no—
745#121—44no—
746#121—44no—
747#121—44no—
748#121—41no—
749#121—41no—
750#121—41no—
751#121—41no—
752#121—82no—
753#121—82no—
754#121—82no—
755#120—24no—
756#120—24no—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—82no—
763#120—82no—
764#120—82no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—22no—
772C4×D4—22no—
773C4×D4—22no—
774C4×D4—22no—
775C4×D4—44no—
776C4×D4—44no—
777C4×D4—82no—
778C4×D4C2×D414yes—
779C4×D4#4114yes—
780#117—22no—
781#117—22no—
782#117—22no—
783#117—22no—
784#117—41no—
785#117—41no—
786C2×C4⋊C4—22no—
787C2×C4⋊C4—22no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—21no—
793C2×C4⋊C4—21no—
794C2×C4⋊C4—21no—
795C2×C4⋊C4—21no—
796C2×C4⋊C4—21no—
797C2×C4⋊C4—21no—
798C2×C4⋊C4—21no—
799C2×C4⋊C4—21no—
800C2×C4⋊C4—21no—
801C2×C4⋊C4—21no—
802C2×C4⋊C4—21no—
803C2×C4⋊C4—21no—
804C2×C4⋊C4—41no—
805C2×C4⋊C4—41no—
806C2×C4⋊C4C2×D411yescharacteristic
807C2×C4⋊C4C2×D411yescharacteristic
808C2×C4⋊C4C2×D411yescharacteristic
809C2×C4⋊C4C2×D411yescharacteristic
810C2×C4⋊C4C2×D411yescharacteristic
811C2×C4⋊C4C2×D411yescharacteristic
812C2×C4⋊C4C2411yescharacteristic
813C2×C4⋊C4C2411yescharacteristic
814C2×C4⋊C4C2411yescharacteristic
815C2×C4⋊C4C2411yescharacteristic
816C2×C4⋊C4C2411yescharacteristic
817C2×C4⋊C4C2411yescharacteristic
818C2×C4⋊C4C2411yescharacteristic
819C2×C4⋊C4C2411yescharacteristic
820C2×C4⋊C4C2411yescharacteristic
821C2×C4⋊C4C2411yescharacteristic
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—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⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—44no—
871C2×C22⋊C4—44no—
872C2×C22⋊C4—44no—
873C2×C22⋊C4C2×D411yescharacteristic
874C2×C22⋊C4C2×D411yescharacteristic
875C2×C22⋊C4C2×D411yescharacteristic
876C2×C22⋊C4C2×D411yescharacteristic
877C2×C22⋊C4C2×D411yescharacteristic
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C42—21no—
884C2×C42—21no—
885C2×C42—21no—
886C2×C42—21no—
887C2×C42C2411yescharacteristic
888C2×C42C2411yescharacteristic
889#107—22no—
890#107—41no—
891#107—41no—
892#106—22no—
893#106—22no—
894#106—41no—
895#106—41no—
896C4⋊C8—22no—
897C4⋊C8—22no—
898C4⋊C8—22no—
899C4⋊C8C2×D414yescomplemented
900#103—22no—
901#103—22no—
902#103—22no—
903#103—22no—
904#103—41no—
905#103—41no—
906#103—41no—
907#103—41no—
908#103—41no—
909#103—41no—
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—22no—
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—
930C22⋊C8—22no—
931C22⋊C8—22no—
932C22⋊C8—22no—
933C22⋊C8—22no—
934C22⋊C8—22no—
935C22⋊C8—22no—
936C22⋊C8—22no—
937C22⋊C8—22no—
938C22⋊C8—22no—
939C22⋊C8—22no—
940C22⋊C8C2×D414yes—
941C22⋊C8C2×D414yescomplemented
942#97—22no—
943#97—22no—
944C4×C8—22no—
945C4×C8C2×D414yescomplemented
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#95—21no—
962#95—21no—
963#95—21no—
964C24—21no—
965C24—21no—
966C24—22no—
967C24—21no—
968C24—21no—
969C24—41no—
970C24—41no—
971C24—41no—
972C24—41no—
973C24—41no—
974C24—41no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—42no—
979C24—42no—
980C24—42no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24C22×D411yescharacteristic
990C24C22×D411yescharacteristic
991C24C22×D411yescharacteristic
992C24C22×D411yescharacteristic
993C24C22×D411yescharacteristic
994#41—44no—
995#41—44no—
996#41—44no—
997#41—44no—
998#41—82no—
999#41—82no—
1000#41—82no—
1001#41—82no—
1002#41—82no—
1003#41—82no—
1004#41—82no—
1005#41—82no—
1006C2×Q8—22no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—21no—
1010C2×Q8—21no—
1011C2×Q8—21no—
1012C2×Q8—21no—
1013C2×Q8—21no—
1014C2×Q8—21no—
1015C2×Q8—21no—
1016C2×Q8—21no—
1017C2×Q8—21no—
1018C2×Q8—21no—
1019C2×Q8—41no—
1020C2×Q8—41no—
1021C2×D4—24no—
1022C2×D4—24no—
1023C2×D4—22no—
1024C2×D4—22no—
1025C2×D4—22no—
1026C2×D4—22no—
1027C2×D4—22no—
1028C2×D4—22no—
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—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
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—41no—
1067C2×D4—41no—
1068C2×D4—41no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
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—82no—
1092C2×D4—82no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—81no—
1096C2×D4—81no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
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—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—816no—
1126C2×D4#12114yes—
1127C2×D4H(5,𝔽2)12yes—
1128C2×D4H(5,𝔽2)12yes—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—22no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—22no—
1159C22×C4—22no—
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—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—82no—
1186C22×C4—82no—
1187C22×C4—82no—
1188C22×C4—82no—
1189C22×C4—81no—
1190C22×C4—81no—
1191C22×C4—81no—
1192C22×C4—81no—
1193C22×C4—81no—
1194C22×C4—81no—
1195C22×C4—81no—
1196C22×C4—81no—
1197C22×C4—81no—
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D411yescharacteristic
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D411yescharacteristic
1206C22×C4C22×D411yescharacteristic
1207C22×C4C22×D412yes—
1208C22×C4C22×D412yes—
1209C22×C4C2×#4112yes—
1210C22×C4C2×#4112yes—
1211C22×C4C2511yescharacteristic
1212Q16—82no—
1213SD16—44no—
1214SD16—44no—
1215SD16—44no—
1216SD16—44no—
1217D8—28no—
1218D8—44no—
1219D8—44no—
1220D8—82no—
1221M16—44no—
1222M16—44no—
1223M16—82no—
1224M16—82no—
1225M16—82no—
1226M16—82no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
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—82no—
1248C2×C8—82no—
1249C2×C8C22×D412yes—
1250C2×C8C22×D412yes—
1251C2×C8C22×D412yes—
1252C2×C8C22×D412yes—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
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—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—81no—
1285C4⋊C4—81no—
1286C4⋊C4—81no—
1287C4⋊C4—81no—
1288C4⋊C4—81no—
1289C4⋊C4—81no—
1290C4⋊C4—81no—
1291C4⋊C4—81no—
1292C4⋊C4#12114yes—
1293C4⋊C4H(5,𝔽2)12yes—
1294C4⋊C4H(5,𝔽2)12yes—
1295C22⋊C4—24no—
1296C22⋊C4—24no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—42no—
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—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
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#12114yes—
1352C22⋊C4#12114yes—
1353C42—21no—
1354C42—21no—
1355C42—42no—
1356C42—42no—
1357C42—81no—
1358C42—81no—
1359C42C22×D412yes—
1360C42C2×#4112yes—
1361C23—21no—
1362C23—21no—
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—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—22no—
1389C23—22no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
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—82no—
1424C23—82no—
1425C23—82no—
1426C23—84no—
1427C23—84no—
1428C23—84no—
1429C23—84no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—84no—
1434C23—84no—
1435C23—162no—
1436C23—162no—
1437C23—162no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23C2×#12112yes—
1444C23C2×#12112yes—
1445C23C23×D411yescharacteristic
1446Q8—41no—
1447Q8—41no—
1448Q8—41no—
1449Q8—41no—
1450Q8—41no—
1451Q8—41no—
1452Q8—41no—
1453Q8—41no—
1454Q8—82no—
1455D4—22no—
1456D4—22no—
1457D4—22no—
1458D4—22no—
1459D4—44no—
1460D4—41no—
1461D4—41no—
1462D4—41no—
1463D4—41no—
1464D4—41no—
1465D4—41no—
1466D4—41no—
1467D4—41no—
1468D4—41no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—82no—
1473D4—82no—
1474D4—84no—
1475D4—84no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
1479D4—82no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—84no—
1488D4—162no—
1489D4—162no—
1490D4—162no—
1491D4—162no—
1492D4—162no—
1493D4—162no—
1494D4—162no—
1495D4—162no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—41no—
1543C2×C4—41no—
1544C2×C4—41no—
1545C2×C4—41no—
1546C2×C4—41no—
1547C2×C4—41no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
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—82no—
1576C2×C4—82no—
1577C2×C4—84no—
1578C2×C4—84no—
1579C2×C4—82no—
1580C2×C4—84no—
1581C2×C4—162no—
1582C2×C4—162no—
1583C2×C4—162no—
1584C2×C4C2×#12112yes—
1585C2×C4C2×#12112yes—
1586C2×C4C2×#12112yes—
1587C2×C4C2×#12112yes—
1588C2×C4C23×D411yescharacteristic
1589C2×C4C22×#4111yescharacteristic
1590C2×C4C2×H(5,𝔽2)11yescharacteristic
1591C2×C4C2×H(5,𝔽2)11yescharacteristic
1592C2×C4C2×H(5,𝔽2)11yescharacteristic
1593C2×C4C2×H(5,𝔽2)11yescharacteristic
1594C8—22no—
1595C8—22no—
1596C8—22no—
1597C8—22no—
1598C8—41no—
1599C8—41no—
1600C8—41no—
1601C8—41no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—41no—
1628C22—41no—
1629C22—42no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—42no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—42no—
1643C22—88no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—168no—
1667C22—168no—
1668C22C22×#12111yescharacteristic
1669C22#348411yescharacteristic
1670C22#348411yescharacteristic
1671C22#358511yescharacteristic
1672C22#358511yescharacteristic
1673C22#358511yescharacteristic
1674C22#358611yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—81no—
1687C4—81no—
1688C4—81no—
1689C4—81no—
1690C4—81no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4—81no—
1696C4#348411yescharacteristic
1697C4#349811yescharacteristic
1698C4#351911yescharacteristic
1699C4#351911yescharacteristic
1700C2—42no—
1701C2—42no—
1702C2—81no—
1703C2—81no—
1704C2—81no—
1705C2—82no—
1706C2—82no—
1707C2—161no—
1708C2—161no—
1709C2#3569111yescharacteristic
1710C2#6045611yescharacteristic
1711C2#6046111yescharacteristic
1712C2#6164411yescharacteristic
1713C2#6164711yescharacteristic
1714C2#6165311yescharacteristic
1715C2#6165611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3273C2semidirect
2. C2×#2978C2semidirect
3. #37658C2semidirect
4. #37648C2semidirect
5. #29813C2semidirect
6. #29747C2semidirect
7. #29744C2semidirect
8. #28569C2semidirect
9. #28560C2semidirect
10. #28487C2semidirect
11. #28149C2semidirect
12. #25401C2semidirect
13. #25397C2semidirect
14. #25135C2semidirect
15. #25132C2semidirect
16. #25127C2semidirect
17. #25124C2semidirect
18. #24667C2semidirect
19. #24663C2semidirect
20. #24395C2semidirect
21. #24390C2semidirect
22. #24389C2semidirect
23. #24384C2semidirect
24. #24277C2semidirect
25. #24275C2semidirect
26. #23702C2semidirect
27. #23393C2semidirect
28. #23391C2semidirect
29. #22715C2semidirect
30. #22424C2semidirect
31. #22419C2semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
37. C2×#535C22semidirect
40. C22×#121C22semidirect
42. C2×#495C22semidirect
43. C2×#470C22semidirect
44. C2×#470C22semidirect
47. C2×#469C22semidirect
49. C2×#468C22semidirect
50. C2×#468C22semidirect
51. C2×#466C22semidirect
52. C2×#465C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
56. C2×#452C22semidirect
58. C2×#447C22semidirect
60. C2×C4×D8C22semidirect
62. C2×#436C22semidirect
63. C2×#436C22semidirect
64. C2×#436C22semidirect
66. C2×#435C22semidirect
67. C2×#435C22semidirect
68. C2×#435C22semidirect
69. C2×#433C22semidirect
70. C2×#433C22semidirect
72. C2×#418C22semidirect
73. C2×#416C22semidirect
74. C22×#102C22semidirect
75. C2×#408C22semidirect
76. C2×#408C22semidirect
77. C2×#407C22semidirect
78. C2×#407C22semidirect
79. #2848C22semidirect
89. #2620C22semidirect
90. #2620C22semidirect
91. #2616C22semidirect
93. #2540C22semidirect
94. #2540C22semidirect
95. #2537C22semidirect
96. #2537C22semidirect
103. #2417C22semidirect
105. #2415C22semidirect
109. #2408C22semidirect
110. #2408C22semidirect
115. #2324C22semidirect
116. #2324C22semidirect
117. #2086C22semidirect
118. #2076C22semidirect
119. #2076C22semidirect
120. #2075C22semidirect
121. #2065C22semidirect
122. #2065C22semidirect
123. #2056C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2001C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
142. #2000C22semidirect
143. #2000C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
148. #2000C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1983C22semidirect
158. #1983C22semidirect
159. #1973C22semidirect
160. #1972C22semidirect
161. #1970C22semidirect
162. #1968C22semidirect
163. #1959C22semidirect
164. #1959C22semidirect
165. #1948C22semidirect
166. #1947C22semidirect
167. #1936C22semidirect
168. #1935C22semidirect
169. #1934C22semidirect
170. #1933C22semidirect
172. #1895C22semidirect
173. #1895C22semidirect
174. #1895C22semidirect
175. #1895C22semidirect
176. #1895C22semidirect
177. #1894C22semidirect
178. #1894C22semidirect
179. #1893C22semidirect
180. #1893C22semidirect
181. #1892C22semidirect
182. #1892C22semidirect
183. #1875C22semidirect
185. #1873C22semidirect
186. #1872C22semidirect
187. #1854C22semidirect
188. #1854C22semidirect
189. #1853C22semidirect
190. #1853C22semidirect
191. #1834C22semidirect
192. #1809C22semidirect
193. #1809C22semidirect
194. #1802C22semidirect
195. #1802C22semidirect
197. #1788C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. C4×#106C22semidirect
201. #1762C22semidirect
202. #1762C22semidirect
203. #1736C22semidirect
204. #1736C22semidirect
343. #436D4semidirect
670. C2×M16C2×D4semidirect
899. C4⋊C8C2×D4semidirect
941. C22⋊C8C2×D4semidirect
945. C4×C8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32732
C2×#29782
#376582
#376482
#298132
#297472
#297442
#285692
#285602
#284872
#281492
#254012
#253972
#251352
#251322
#251272
#251242
#246672
#246632
#243952
#243902
#243892
#243842
#242772
#242752
#237022
#233932
#233912
#227152
#224242
#224192