Finite Group Databasebeta

← C41×#26840 #23803041

Subgroups — C41×#26840 #23803041

Order 10496.

814 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C41×#489C211yesmaximal, characteristic
2C2×C41×#440C211yesmaximal, characteristic
3C41×#2451C211yesmaximal, characteristic, complemented
4C41×#2447C211yesmaximal, characteristic
5C41×#2068C211yesmaximal, characteristic, complemented
6C41×#2057C211yesmaximal, characteristic, complemented
7C41×#2055C211yesmaximal, characteristic
8C41×#2015C211yesmaximal, characteristic
9C41×#1969C211yesmaximal, characteristic, complemented
10C41×#1935C211yesmaximal, characteristic, complemented
11C41×#1935C211yesmaximal, characteristic, complemented
12C41×#1934C211yesmaximal, characteristic
13C41×#1878C211yesmaximal, characteristic, complemented
14C41×#1862C211yesmaximal, characteristic
15C41×#1770C211yesmaximal, characteristic, complemented
16C22×Q16×C41C2211yescharacteristic
17C22×SD16×C41C2211yescharacteristic
18C2×C4⋊Q8×C41C2211yescharacteristic
19C2×#124×C41C2211yescharacteristic
20C2×C4×Q8×C41C2211yescharacteristic
21C2×C4×D4×C41C2211yescharacteristic
22C41×#489—24no—
23C41×#440—24no—
24C2×#107×C41C2211yescharacteristic
25C2×#107×C41C2211yescharacteristic
26C2×C4⋊C8×C41C2211yescharacteristic
27C2×#103×C41C2211yescharacteristic
28C2×#103×C41C2211yescharacteristic
29C2×#103×C41C2211yescharacteristic
30C2×#103×C41C2211yescharacteristic
31C2×#103×C41C2211yescharacteristic
32C2×#102×C41C2211yescharacteristic
33C2×#102×C41C2211yescharacteristic
34C2×#102×C41C2211yescharacteristic
35C2×#97×C41C2211yescharacteristic
36C2×#97×C41C2211yescharacteristic
37C2×C4×C8×C41C2211yescharacteristic
38C41×#398—21no—
39C41×#397—21no—
40C41×#397—21no—
41C41×#395—21no—
42C41×#391—21no—
43C41×#391C2211yescharacteristic
44C41×#391C2211yescharacteristic
45C41×#391C2211yescharacteristic
46C41×#391C2211yescharacteristic
47C41×#390C2211yescharacteristic
48C41×#389C2211yescharacteristic
49C41×#389C2211yescharacteristic
50C41×#389C2211yescharacteristic
51C41×#387—21no—
52C41×#385—21no—
53C41×#381—21no—
54C4×C4⋊C4×C41C2211yescharacteristic
55C41×#340C2211yescharacteristic
56C41×#340C2211yescharacteristic
57C41×#340C2211yescharacteristic
58C41×#340C2211yescharacteristic
59C41×#336C2211yescharacteristic
60C41×#336C2211yescharacteristic
61C22×Q8×C41—21no—
62C22×Q8×C41C2311yescharacteristic
63C22×Q8×C41C2311yescharacteristic
64C22×D4×C41C2311yescharacteristic
65C23×C4×C41—21no—
66C2×Q16×C41—22no—
67C2×Q16×C41—22no—
68C2×Q16×C41—41no—
69C2×SD16×C41—22no—
70C2×SD16×C41—22no—
71C2×SD16×C41—22no—
72C22×C8×C41C2311yescharacteristic
73C22×C8×C41C2311yescharacteristic
74C22×C8×C41C2311yescharacteristic
75C22×C8×C41C2311yescharacteristic
76C4⋊Q8×C41—22no—
77C4⋊Q8×C41—41no—
78#124×C41—22no—
79#124×C41—41no—
80C4×Q8×C41—22no—
81C4×Q8×C41—41no—
82C4×D4×C41—22no—
83C4×D4×C41—41no—
84C2×C4⋊C4×C41—21no—
85C2×C4⋊C4×C41—21no—
86C2×C4⋊C4×C41—21no—
87C2×C4⋊C4×C41—21no—
88C2×C4⋊C4×C41—21no—
89C2×C4⋊C4×C41D411yescharacteristic
90C2×C4⋊C4×C41D411yescharacteristic
91C2×C4⋊C4×C41C2311yescharacteristic
92C2×C4⋊C4×C41C2311yescharacteristic
93C2×C4⋊C4×C41C2311yescharacteristic
94C2×C4⋊C4×C41C2311yescharacteristic
95C2×C4⋊C4×C41C2311yescharacteristic
96C2×C22⋊C4×C41—21no—
97C2×C22⋊C4×C41—21no—
98C2×C22⋊C4×C41—21no—
99C2×C22⋊C4×C41—21no—
100C2×C22⋊C4×C41—21no—
101C2×C42×C41—21no—
102C2×C42×C41C2311yescharacteristic
103C2×C42×C41C2311yescharacteristic
104C2×C42×C41C2311yescharacteristic
105#107×C41—22no—
106#107×C41—41no—
107C4⋊C8×C41—22no—
108#103×C41—22no—
109#103×C41—22no—
110#103×C41—22no—
111#103×C41—22no—
112#103×C41—22no—
113#102×C41—22no—
114#102×C41—22no—
115#102×C41D414yes—
116#97×C41—22no—
117#97×C41—22no—
118C4×C8×C41—22no—
119#95×C41—21no—
120#95×C41—21no—
121#95×C41—21no—
122#95×C41—21no—
123#95×C41—21no—
124#95×C41—21no—
125#95×C41—21no—
126#95×C41—21no—
127#95×C41—21no—
128#95×C41—21no—
129#95×C41—21no—
130#95×C41D411yescharacteristic
131#95×C41D411yescharacteristic
132C24×C41—21no—
133C2×Q8×C41—21no—
134C2×Q8×C41—21no—
135C2×Q8×C41—21no—
136C2×Q8×C41—21no—
137C2×Q8×C41—21no—
138C2×Q8×C41—21no—
139C2×Q8×C41—21no—
140C2×Q8×C41—21no—
141C2×Q8×C41—21no—
142C2×Q8×C41—21no—
143C2×Q8×C41—21no—
144C2×Q8×C41—42no—
145C2×Q8×C41—42no—
146C2×Q8×C41—81no—
147C2×Q8×C41#4112yes—
148C2×D4×C41—21no—
149C2×D4×C41—21no—
150C2×D4×C41—21no—
151C2×D4×C41—21no—
152C2×D4×C41—21no—
153C2×D4×C41C2×D412yes—
154C22×C4×C41—21no—
155C22×C4×C41—21no—
156C22×C4×C41—21no—
157C22×C4×C41—21no—
158C22×C4×C41—21no—
159C22×C4×C41—21no—
160C22×C4×C41—21no—
161C22×C4×C41—42no—
162C22×C4×C41—42no—
163C22×C4×C41—81no—
164C22×C4×C41C2×D411yescharacteristic
165C22×C4×C41C2×D411yescharacteristic
166C22×C4×C41C2×D411yescharacteristic
167C22×C4×C41C2×D411yescharacteristic
168C22×C4×C41C2×D411yescharacteristic
169C22×C4×C41C2×D411yescharacteristic
170C22×C4×C41C2411yescharacteristic
171Q16×C41—44no—
172SD16×C41—28no—
173C2×C8×C41—21no—
174C2×C8×C41—21no—
175C2×C8×C41—21no—
176C2×C8×C41—21no—
177C2×C8×C41—21no—
178C2×C8×C41—21no—
179C2×C8×C41—21no—
180C2×C8×C41—21no—
181C2×C8×C41—21no—
182C2×C8×C41C2×D412yes—
183C2×C8×C41#4112yes—
184C2×C8×C41#4112yes—
185C4⋊C4×C41—22no—
186C4⋊C4×C41—21no—
187C4⋊C4×C41—21no—
188C4⋊C4×C41—21no—
189C4⋊C4×C41—21no—
190C4⋊C4×C41—21no—
191C4⋊C4×C41—21no—
192C4⋊C4×C41—21no—
193C4⋊C4×C41—21no—
194C4⋊C4×C41—21no—
195C4⋊C4×C41—41no—
196C4⋊C4×C41—42no—
197C4⋊C4×C41—42no—
198C4⋊C4×C41—81no—
199C4⋊C4×C41—81no—
200C4⋊C4×C41—81no—
201C4⋊C4×C41C2×D412yes—
202C22⋊C4×C41—42no—
203C22⋊C4×C41—42no—
204C22⋊C4×C41—42no—
205C22⋊C4×C41—42no—
206C22⋊C4×C41—81no—
207C42×C41—21no—
208C42×C41—21no—
209C42×C41—21no—
210C42×C41—21no—
211C42×C41—21no—
212C42×C41—21no—
213C42×C41—42no—
214C23×C41—22no—
215C23×C41—41no—
216C23×C41—41no—
217C23×C41—41no—
218C23×C41—41no—
219C23×C41—41no—
220C23×C41—41no—
221C23×C41C22×D411yescharacteristic
222Q8×C41—22no—
223Q8×C41—22no—
224Q8×C41—41no—
225Q8×C41—41no—
226Q8×C41—41no—
227Q8×C41—41no—
228Q8×C41—41no—
229Q8×C41—41no—
230Q8×C41—84no—
231D4×C41—22no—
232D4×C41—22no—
233D4×C41—41no—
234D4×C41—41no—
235C2×C4×C41—21no—
236C2×C4×C41—21no—
237C2×C4×C41—21no—
238C2×C4×C41—21no—
239C2×C4×C41—21no—
240C2×C4×C41—21no—
241C2×C4×C41—21no—
242C2×C4×C41—22no—
243C2×C4×C41—22no—
244C2×C4×C41—21no—
245C2×C4×C41—21no—
246C2×C4×C41—21no—
247C2×C4×C41—21no—
248C2×C4×C41—21no—
249C2×C4×C41—21no—
250C2×C4×C41—21no—
251C2×C4×C41—21no—
252C2×C4×C41—21no—
253C2×C4×C41—21no—
254C2×C4×C41—41no—
255C2×C4×C41—41no—
256C2×C4×C41—41no—
257C2×C4×C41—41no—
258C2×C4×C41—41no—
259C2×C4×C41—41no—
260C2×C4×C41—41no—
261C2×C4×C41—41no—
262C2×C4×C41—41no—
263C2×C4×C41—41no—
264C2×C4×C41—41no—
265C2×C4×C41—41no—
266C2×C4×C41—41no—
267C2×C4×C41—41no—
268C2×C4×C41—41no—
269C2×C4×C41—41no—
270C2×C4×C41—41no—
271C2×C4×C41—41no—
272C2×C4×C41—41no—
273C2×C4×C41—84no—
274C2×C4×C41#13712yes—
275C2×C4×C41C22×D411yescharacteristic
276C2×C4×C41C2×#4111yescharacteristic
277C2×C4×C41C2×#4111yescharacteristic
278C2×C4×C41C2×#4111yescharacteristic
279C2×C4×C41H(5,𝔽2)11yescharacteristic
280C2×C4×C412−1+411yescharacteristic
281C8×C41—22no—
282C8×C41—22no—
283C8×C41—22no—
284C8×C41—41no—
285#26840C4111yesmaximal, characteristic, direct product factor, Sylow
286C22×C41—42no—
287C22×C41—42no—
288C22×C41—42no—
289C22×C41—81no—
290C22×C41—81no—
291C22×C41—81no—
292C22×C41—81no—
293C22×C41#53211yescharacteristic
294C22×C41D4211yescharacteristic
295C22×C41#54811yescharacteristic
296C22×C41C2×#13711yescharacteristic
297C22×C41#57511yescharacteristic
298C22×C41#57611yescharacteristic
299C22×C41#57811yescharacteristic
300C4×C41—22no—
301C4×C41—41no—
302C4×C41—42no—
303C4×C41—41no—
304C4×C41—41no—
305C4×C41—42no—
306C4×C41—41no—
307C4×C41—41no—
308C4×C41—81no—
309C4×C41—81no—
310C4×C41—81no—
311C4×C41—81no—
312C4×C41—81no—
313C4×C41#52511yescharacteristic
314C4×C41#54211yescharacteristic
315C4×C41#54711yescharacteristic
316C4×C41#55111yescharacteristic
317C2×#489C2×C4111yescharacteristic
318C2×#440C2×C4111yescharacteristic
319#2451C2×C4111yescharacteristic, complemented
320#2447C2×C4111yescharacteristic
321#2068C2×C4111yescharacteristic, complemented
322#2057C2×C4111yescharacteristic, complemented
323#2055C2×C4111yescharacteristic
324#2015C2×C4111yescharacteristic
325#1969C2×C4111yescharacteristic, complemented
326#1935C2×C4111yescharacteristic, complemented
327#1935C2×C4111yescharacteristic, complemented
328#1934C2×C4111yescharacteristic
329#1878C2×C4111yescharacteristic, complemented
330#1862C2×C4111yescharacteristic
331#1770C2×C4111yescharacteristic, complemented
332C2×C41—82no—
333C2×C41#246111yescharacteristic
334C2×C41#317511yescharacteristic
335C2×C41#318111yescharacteristic
336C2×C41#327311yescharacteristic
337C2×C41#327611yescharacteristic
338C2×C41#337511yescharacteristic
339C2×C41#337711yescharacteristic
340C22×Q16C22×C4111yescharacteristic
341C22×SD16C22×C4111yescharacteristic
342C2×C4⋊Q8C22×C4111yescharacteristic
343C2×#124C22×C4111yescharacteristic
344C2×C4×Q8C22×C4111yescharacteristic
345C2×C4×D4C22×C4111yescharacteristic
346#489—24no—
347#440—24no—
348C2×#107C22×C4111yescharacteristic
349C2×#107C22×C4111yescharacteristic
350C2×C4⋊C8C22×C4111yescharacteristic
351C2×#103C22×C4111yescharacteristic
352C2×#103C22×C4111yescharacteristic
353C2×#103C22×C4111yescharacteristic
354C2×#103C22×C4111yescharacteristic
355C2×#103C22×C4111yescharacteristic
356C2×#102C22×C4111yescharacteristic
357C2×#102C22×C4111yescharacteristic
358C2×#102C22×C4111yescharacteristic
359C2×#97C22×C4111yescharacteristic
360C2×#97C22×C4111yescharacteristic
361C2×C4×C8C22×C4111yescharacteristic
362#398—21no—
363#397—21no—
364#397—21no—
365#395—21no—
366#391—21no—
367#391C22×C4111yescharacteristic
368#391C22×C4111yescharacteristic
369#391C22×C4111yescharacteristic
370#391C22×C4111yescharacteristic
371#390C22×C4111yescharacteristic
372#389C22×C4111yescharacteristic
373#389C22×C4111yescharacteristic
374#389C22×C4111yescharacteristic
375#387—21no—
376#385—21no—
377#381—21no—
378C4×C4⋊C4C22×C4111yescharacteristic
379#340C22×C4111yescharacteristic
380#340C22×C4111yescharacteristic
381#340C22×C4111yescharacteristic
382#340C22×C4111yescharacteristic
383#336C22×C4111yescharacteristic
384#336C22×C4111yescharacteristic
385C41#2684011yescharacteristic, direct product factor, Sylow
386C22×Q8—21no—
387C22×Q8C23×C4111yescharacteristic
388C22×Q8C23×C4111yescharacteristic
389C22×D4C23×C4111yescharacteristic
390C23×C4—21no—
391C2×Q16—22no—
392C2×Q16—22no—
393C2×Q16—41no—
394C2×SD16—22no—
395C2×SD16—22no—
396C2×SD16—22no—
397C22×C8C23×C4111yescharacteristic
398C22×C8C23×C4111yescharacteristic
399C22×C8C23×C4111yescharacteristic
400C22×C8C23×C4111yescharacteristic
401C4⋊Q8—22no—
402C4⋊Q8—41no—
403#124—22no—
404#124—41no—
405C4×Q8—22no—
406C4×Q8—41no—
407C4×D4—22no—
408C4×D4—41no—
409C2×C4⋊C4—21no—
410C2×C4⋊C4—21no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—21no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4D4×C4111yescharacteristic
415C2×C4⋊C4D4×C4111yescharacteristic
416C2×C4⋊C4C23×C4111yescharacteristic
417C2×C4⋊C4C23×C4111yescharacteristic
418C2×C4⋊C4C23×C4111yescharacteristic
419C2×C4⋊C4C23×C4111yescharacteristic
420C2×C4⋊C4C23×C4111yescharacteristic
421C2×C22⋊C4—21no—
422C2×C22⋊C4—21no—
423C2×C22⋊C4—21no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C42—21no—
427C2×C42C23×C4111yescharacteristic
428C2×C42C23×C4111yescharacteristic
429C2×C42C23×C4111yescharacteristic
430#107—22no—
431#107—41no—
432C4⋊C8—22no—
433#103—22no—
434#103—22no—
435#103—22no—
436#103—22no—
437#103—22no—
438#102—22no—
439#102—22no—
440#102D4×C4114yes—
441#97—22no—
442#97—22no—
443C4×C8—22no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95D4×C4111yescharacteristic
456#95D4×C4111yescharacteristic
457C24—21no—
458C2×Q8—21no—
459C2×Q8—21no—
460C2×Q8—21no—
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—42no—
470C2×Q8—42no—
471C2×Q8—81no—
472C2×Q8#41×C4112yes—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4C2×D4×C4112yes—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—81no—
489C22×C4C2×D4×C4111yescharacteristic
490C22×C4C2×D4×C4111yescharacteristic
491C22×C4C2×D4×C4111yescharacteristic
492C22×C4C2×D4×C4111yescharacteristic
493C22×C4C2×D4×C4111yescharacteristic
494C22×C4C2×D4×C4111yescharacteristic
495C22×C4C24×C4111yescharacteristic
496Q16—44no—
497SD16—28no—
498C2×C8—21no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8C2×D4×C4112yes—
508C2×C8#41×C4112yes—
509C2×C8#41×C4112yes—
510C4⋊C4—22no—
511C4⋊C4—21no—
512C4⋊C4—21no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—41no—
521C4⋊C4—42no—
522C4⋊C4—42no—
523C4⋊C4—81no—
524C4⋊C4—81no—
525C4⋊C4—81no—
526C4⋊C4C2×D4×C4112yes—
527C22⋊C4—42no—
528C22⋊C4—42no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—81no—
532C42—21no—
533C42—21no—
534C42—21no—
535C42—21no—
536C42—21no—
537C42—21no—
538C42—42no—
539C23—22no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23—41no—
546C23C22×D4×C4111yescharacteristic
547Q8—22no—
548Q8—22no—
549Q8—41no—
550Q8—41no—
551Q8—41no—
552Q8—41no—
553Q8—41no—
554Q8—41no—
555Q8—84no—
556D4—22no—
557D4—22no—
558D4—41no—
559D4—41no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—84no—
599C2×C4#137×C4112yes—
600C2×C4C22×D4×C4111yescharacteristic
601C2×C4C2×#41×C4111yescharacteristic
602C2×C4C2×#41×C4111yescharacteristic
603C2×C4C2×#41×C4111yescharacteristic
604C2×C4H(5,𝔽2)×C4111yescharacteristic
605C2×C42−1+4×C4111yescharacteristic
606C8—22no—
607C8—22no—
608C8—22no—
609C8—41no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—81no—
614C22—81no—
615C22—81no—
616C22—81no—
617C22C41×#53211yescharacteristic
618C22D42×C4111yescharacteristic
619C22C41×#54811yescharacteristic
620C22C2×#137×C4111yescharacteristic
621C22C41×#57511yescharacteristic
622C22C41×#57611yescharacteristic
623C22C41×#57811yescharacteristic
624C4—22no—
625C4—41no—
626C4—42no—
627C4—41no—
628C4—41no—
629C4—42no—
630C4—41no—
631C4—41no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C41×#52511yescharacteristic
638C4C41×#54211yescharacteristic
639C4C41×#54711yescharacteristic
640C4C41×#55111yescharacteristic
641C2—82no—
642C2C41×#246111yescharacteristic
643C2C41×#317511yescharacteristic
644C2C41×#318111yescharacteristic
645C2C41×#327311yescharacteristic
646C2C41×#327611yescharacteristic
647C2C41×#337511yescharacteristic
648C2C41×#337711yescharacteristic
subgroupG/H
center, socleC23×C41C22×D4
commutator, Frattini, cosocleC22×C4C24×C41
prime radicalC22×D4×C41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C41 ◁ C4×C4⋊C4×C41 ◁ G

Complements

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

NH ≅ G/Ntype
3. C41×#2451C2semidirect
5. C41×#2068C2semidirect
6. C41×#2057C2semidirect
9. C41×#1969C2semidirect
10. C41×#1935C2semidirect
11. C41×#1935C2semidirect
13. C41×#1878C2semidirect
15. C41×#1770C2semidirect
285. #26840C41direct (N × H)
319. #2451C2×C41semidirect
321. #2068C2×C41semidirect
322. #2057C2×C41semidirect
325. #1969C2×C41semidirect
326. #1935C2×C41semidirect
327. #1935C2×C41semidirect
329. #1878C2×C41semidirect
331. #1770C2×C41semidirect
385. C41#26840direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C41×#4892
C2×C41×#4402
C41×#24512
C41×#24472
C41×#20682
C41×#20572
C41×#20552
C41×#20152
C41×#19692
C41×#19352
C41×#19342
C41×#18782
C41×#18622
C41×#17702
#2684041