Finite Group Databasebeta

← #6409949

Subgroups — #6409949

Order 512.

1486 conjugacy classes of subgroups.

The subgroup lattice has 1349 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34880C211yesmaximal, characteristic
2#23368C211yesmaximal, characteristic, complemented
3#23367C211yesmaximal, characteristic, complemented
4#23359C211yesmaximal, characteristic, complemented
5#23359C211yesmaximal, characteristic, complemented
6#23125C211yesmaximal, characteristic, complemented
7#23125C211yesmaximal, characteristic, complemented
8#23125C211yesmaximal, characteristic, complemented
9#23123C211yesmaximal, characteristic, complemented
10#22794C211yesmaximal, characteristic, complemented
11#22793C211yesmaximal, characteristic, complemented
12#22792C211yesmaximal, characteristic, complemented
13#22792C211yesmaximal, characteristic, complemented
14#22475C211yesmaximal, characteristic, complemented
15#22474C211yesmaximal, characteristic, complemented
16#22472C211yesmaximal, characteristic, complemented
17#22472C211yesmaximal, characteristic, complemented
18#22393C211yesmaximal, characteristic, complemented
19#22391C211yesmaximal, characteristic, complemented
20#22389C211yesmaximal, characteristic, complemented
21#22387C211yesmaximal, characteristic, complemented
22#22178C211yesmaximal, characteristic, complemented
23#22176C211yesmaximal, characteristic, complemented
24#22174C211yesmaximal, characteristic, complemented
25#22172C211yesmaximal, characteristic, complemented
26#22007C211yesmaximal, characteristic, complemented
27#22005C211yesmaximal, characteristic, complemented
28#22002C211yesmaximal, characteristic, complemented
29#21998C211yesmaximal, characteristic, complemented
30#20786C211yesmaximal, characteristic, complemented
31#20774C211yesmaximal, characteristic, complemented
32C2×#529C2211yescharacteristic
33C2×#529C2211yescharacteristic
34C2×#436C2211yescharacteristic
35C2×#436C2211yescharacteristic
36C2×#436C2211yescharacteristic
37C2×#435C2211yescharacteristic
38C2×#435C2211yescharacteristic
39C2×#435C2211yescharacteristic
40C2×#435C2211yescharacteristic
41C2×C8×D4C2211yescharacteristic
42#2556C411yescharacteristic
43#2556C411yescharacteristic
44#2555C411yescharacteristic
45#2555C411yescharacteristic
46#2554C411yescharacteristic
47#2554C411yescharacteristic
48#2553C411yescharacteristic
49#2553C411yescharacteristic
50#2521C411yescharacteristic
51#2521C411yescharacteristic
52#2519C411yescharacteristic
53#2519C411yescharacteristic
54#2464C411yescharacteristic
55#2464C411yescharacteristic
56#2461C411yescharacteristic
57#2461C411yescharacteristic
58#2399C2211yescharacteristic
59#2397C2211yescharacteristic
60#2392C2211yescharacteristic
61#2392C2211yescharacteristic
62C4×#124C2211yescharacteristic
63C4×#124C2211yescharacteristic
64C4×#121C2211yescharacteristic
65C4×#121C2211yescharacteristic
66#2293C2211yescharacteristic
67#2290C2211yescharacteristic
68#2290C2211yescharacteristic
69C42×D4C2211yescharacteristic
70C4×#117C2211yescharacteristic
71#1985C2211yescharacteristic
72#1985C2211yescharacteristic
73#1985C2211yescharacteristic
74#1985C2211yescharacteristic
75#1984C2211yescharacteristic
76#1984C2211yescharacteristic
77#1984C2211yescharacteristic
78#1984C2211yescharacteristic
79#1924C2211yescharacteristic
80#1924C2211yescharacteristic
81#1924C2211yescharacteristic
82#1924C2211yescharacteristic
83#1924C2211yescharacteristic
84#1924C2211yescharacteristic
85#1924C2211yescharacteristic
86#1924C2211yescharacteristic
87#1923C2211yescharacteristic
88#1923C2211yescharacteristic
89#1923C2211yescharacteristic
90#1923C2211yescharacteristic
91#1923C2211yescharacteristic
92#1923C2211yescharacteristic
93#1923C2211yescharacteristic
94#1923C2211yescharacteristic
95#1917C2211yescharacteristic
96#1917C2211yescharacteristic
97#1917C2211yescharacteristic
98#1917C2211yescharacteristic
99#1917C2211yescharacteristic
100#1917C2211yescharacteristic
101#1917C2211yescharacteristic
102#1917C2211yescharacteristic
103#1916C2211yescharacteristic
104#1916C2211yescharacteristic
105#1916C2211yescharacteristic
106#1916C2211yescharacteristic
107#1916C2211yescharacteristic
108#1916C2211yescharacteristic
109#1916C2211yescharacteristic
110#1916C2211yescharacteristic
111#1870C2211yescharacteristic
112#1870C2211yescharacteristic
113#1870C2211yescharacteristic
114#1870C2211yescharacteristic
115#1870C2211yescharacteristic
116#1870C2211yescharacteristic
117#1870C2211yescharacteristic
118#1870C2211yescharacteristic
119#1870C2211yescharacteristic
120#1870C2211yescharacteristic
121#1870C2211yescharacteristic
122#1870C2211yescharacteristic
123#1870C2211yescharacteristic
124#1870C2211yescharacteristic
125#1870C2211yescharacteristic
126#1870C2211yescharacteristic
127#1870C2211yescharacteristic
128#1870C2211yescharacteristic
129#1870C2211yescharacteristic
130#1870C2211yescharacteristic
131#1870C2211yescharacteristic
132#1870C2211yescharacteristic
133#1869C2211yescharacteristic
134#1869C2211yescharacteristic
135#1869C2211yescharacteristic
136#1869C2211yescharacteristic
137#1869C2211yescharacteristic
138#1869C2211yescharacteristic
139#1869C2211yescharacteristic
140#1869C2211yescharacteristic
141#1869C2211yescharacteristic
142#1869C2211yescharacteristic
143#1851C2211yescharacteristic
144#1851C2211yescharacteristic
145#1851C2211yescharacteristic
146#1851C2211yescharacteristic
147#1851C2211yescharacteristic
148#1851C2211yescharacteristic
149#1850C2211yescharacteristic
150#1850C2211yescharacteristic
151#1840C2211yescharacteristic
152#1840C2211yescharacteristic
153#1840C2211yescharacteristic
154#1840C2211yescharacteristic
155#1840C2211yescharacteristic
156#1840C2211yescharacteristic
157#1839C2211yescharacteristic
158#1839C2211yescharacteristic
159#1839C2211yescharacteristic
160#1839C2211yescharacteristic
161#1831C2211yescharacteristic
162#1831C2211yescharacteristic
163#1818C2211yescharacteristic
164#1818C2211yescharacteristic
165#1818C2211yescharacteristic
166#1818C2211yescharacteristic
167#1817C2211yescharacteristic
168#1817C2211yescharacteristic
169#1798C2211yescharacteristic
170#1798C2211yescharacteristic
171#1797C2211yescharacteristic
172#1797C2211yescharacteristic
173#1797C2211yescharacteristic
174#1797C2211yescharacteristic
175#1767C2211yescharacteristic
176C4×C4⋊C8C2211yescharacteristic
177#1753C2211yescharacteristic
178#1753C2211yescharacteristic
179#1753C2211yescharacteristic
180#1753C2211yescharacteristic
181#1753C2211yescharacteristic
182#1753C2211yescharacteristic
183#1752C2211yescharacteristic
184C8×C22⋊C4C2211yescharacteristic
185#1750C2211yescharacteristic
186#1750C2211yescharacteristic
187#1750C2211yescharacteristic
188#1750C2211yescharacteristic
189#1749C2211yescharacteristic
190C4×C22⋊C8C2211yescharacteristic
191#1746C2211yescharacteristic
192#1746C2211yescharacteristic
193#1729C2211yescharacteristic
194#1729C2211yescharacteristic
195#1729C2211yescharacteristic
196#1729C2211yescharacteristic
197#1729C2211yescharacteristic
198#1729C2211yescharacteristic
199#1728C2211yescharacteristic
200#1728C2211yescharacteristic
201#1728C2211yescharacteristic
202C2×#336C2211yescharacteristic
203C22×M16C2311yescharacteristic
204C22×M16C2311yescharacteristic
205C22×M16C2311yescharacteristic
206C22×M16C2311yescharacteristic
207C22×M16C2311yescharacteristic
208C22×M16C2311yescharacteristic
209C22×M16C2311yescharacteristic
210C22×M16C2311yescharacteristic
211C23×C8C2311yescharacteristic
212C23×C8C2311yescharacteristic
213C23×C8C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#529—42no—
216#529—42no—
217#529—42no—
218#529—42no—
219C2×#126C2×C411yescharacteristic
220C2×#126C2×C411yescharacteristic
221C2×#126C2×C411yescharacteristic
222C2×#126C2×C411yescharacteristic
223C2×#125C2×C411yescharacteristic
224C2×#125C2×C411yescharacteristic
225C2×#124C2×C411yescharacteristic
226C2×#124C2×C411yescharacteristic
227C2×#124C2×C411yescharacteristic
228C2×#124C2×C411yescharacteristic
229C2×#123C2×C411yescharacteristic
230C2×#123C2×C411yescharacteristic
231C2×#123C2×C411yescharacteristic
232C2×#123C2×C411yescharacteristic
233C2×C22⋊Q8C2×C411yescharacteristic
234C2×C22⋊Q8C2×C411yescharacteristic
235C2×#121C2×C411yescharacteristic
236C2×#121C2×C411yescharacteristic
237C2×#121C2×C411yescharacteristic
238C2×#121C2×C411yescharacteristic
239C2×C4×Q8C2311yescharacteristic
240C2×C4×Q8C2311yescharacteristic
241C2×C4×D4C2×C411yescharacteristic
242C2×C4×D4C2×C411yescharacteristic
243C2×C4×D4C2311yescharacteristic
244C2×C4×D4C2311yescharacteristic
245C2×C4×D4C2311yescharacteristic
246C2×C4×D4C2311yescharacteristic
247C2×C4×D4C2311yescharacteristic
248C2×C4×D4C2311yescharacteristic
249C2×C4×D4C2311yescharacteristic
250C2×C4×D4C2311yescharacteristic
251C2×C4×D4C2311yescharacteristic
252C2×C4×D4C2311yescharacteristic
253C2×#117C2311yescharacteristic
254C2×#117C2311yescharacteristic
255C2×#117C2311yescharacteristic
256C2×#117C2311yescharacteristic
257C22×C42C2311yescharacteristic
258C22×C42C2311yescharacteristic
259C22×C42C2311yescharacteristic
260#436—42no—
261#436—42no—
262#436—42no—
263#435—42no—
264#435—42no—
265#435—42no—
266#435—42no—
267C8×D4—42no—
268C2×C4⋊C8C2311yescharacteristic
269C2×C4⋊C8C2311yescharacteristic
270C2×C4⋊C8C2311yescharacteristic
271C2×C4⋊C8C2311yescharacteristic
272C2×C4⋊C8C2311yescharacteristic
273C2×C4⋊C8C2311yescharacteristic
274C2×C4⋊C8C2311yescharacteristic
275C2×C4⋊C8C2311yescharacteristic
276C2×C4⋊C8C2311yescharacteristic
277C2×C4⋊C8C2311yescharacteristic
278C2×C4⋊C8C2311yescharacteristic
279C2×C4⋊C8C2311yescharacteristic
280C2×C22⋊C8C2311yescharacteristic
281C2×C22⋊C8C2311yescharacteristic
282C2×C22⋊C8C2311yescharacteristic
283C2×C22⋊C8C2311yescharacteristic
284C2×C22⋊C8C2311yescharacteristic
285C2×C22⋊C8C2311yescharacteristic
286C2×C22⋊C8C2311yescharacteristic
287C2×C22⋊C8C2311yescharacteristic
288C2×C22⋊C8C2311yescharacteristic
289C2×C22⋊C8C2311yescharacteristic
290C2×C22⋊C8C2311yescharacteristic
291C2×C22⋊C8C2311yescharacteristic
292C2×C22⋊C8C2311yescharacteristic
293C2×C22⋊C8C2311yescharacteristic
294C2×C22⋊C8C2311yescharacteristic
295C2×C22⋊C8C2311yescharacteristic
296C2×C22⋊C8C2311yescharacteristic
297C2×C22⋊C8C2311yescharacteristic
298C2×C22⋊C8C2311yescharacteristic
299C2×C22⋊C8C2311yescharacteristic
300C2×C22⋊C8C2311yescharacteristic
301C2×C22⋊C8C2311yescharacteristic
302C2×C22⋊C8C2311yescharacteristic
303C2×C22⋊C8C2311yescharacteristic
304C2×C22⋊C8C2311yescharacteristic
305C2×C22⋊C8C2311yescharacteristic
306C2×C22⋊C8C2311yescharacteristic
307C2×C22⋊C8C2311yescharacteristic
308C2×#97C2311yescharacteristic
309C2×#97C2311yescharacteristic
310C2×#97C2311yescharacteristic
311C2×#97C2311yescharacteristic
312C2×#97C2311yescharacteristic
313C2×#97C2311yescharacteristic
314C2×C4×C8C2311yescharacteristic
315C2×C4×C8C2311yescharacteristic
316C2×C4×C8C2311yescharacteristic
317C2×C4×C8C2311yescharacteristic
318C2×C4×C8C2311yescharacteristic
319C2×C4×C8C2311yescharacteristic
320#399C2×C411yescharacteristic
321#399C2×C411yescharacteristic
322#399C2×C411yescharacteristic
323#399C2×C411yescharacteristic
324#398C2×C411yescharacteristic
325#398C2×C411yescharacteristic
326#398C2×C411yescharacteristic
327#398C2×C411yescharacteristic
328#398C2×C411yescharacteristic
329#398C2×C411yescharacteristic
330#397C2×C411yescharacteristic
331#397C2×C411yescharacteristic
332#396C2×C411yescharacteristic
333#396C2×C411yescharacteristic
334#396C2×C411yescharacteristic
335#396C2×C411yescharacteristic
336#395C2×C411yescharacteristic
337#395C2×C411yescharacteristic
338#395C2×C411yescharacteristic
339#395C2×C411yescharacteristic
340#394C2×C411yescharacteristic
341#394C2×C411yescharacteristic
342#394C2×C411yescharacteristic
343#394C2×C411yescharacteristic
344#394C2×C411yescharacteristic
345#394C2×C411yescharacteristic
346#392C2×C411yescharacteristic
347#392C2×C411yescharacteristic
348#392C2×C411yescharacteristic
349#392C2×C411yescharacteristic
350#392C2×C411yescharacteristic
351#392C2×C411yescharacteristic
352#391C2×C411yescharacteristic
353#391C2×C411yescharacteristic
354#390C2×C411yescharacteristic
355#390C2×C411yescharacteristic
356#390C2×C411yescharacteristic
357#390C2×C411yescharacteristic
358#390C2×C411yescharacteristic
359#390C2×C411yescharacteristic
360#389C2×C411yescharacteristic
361#389C2×C411yescharacteristic
362#389C2×C411yescharacteristic
363#389C2×C411yescharacteristic
364#388C2×C411yescharacteristic
365#388C2×C411yescharacteristic
366#388C2×C411yescharacteristic
367#388C2×C411yescharacteristic
368#388C2×C411yescharacteristic
369#388C2×C411yescharacteristic
370#388C2×C411yescharacteristic
371#388C2×C411yescharacteristic
372#388C2×C411yescharacteristic
373#388C2×C411yescharacteristic
374#388C2×C411yescharacteristic
375#388C2×C411yescharacteristic
376#388C2×C411yescharacteristic
377#388C2×C411yescharacteristic
378#388C2×C411yescharacteristic
379#388C2×C411yescharacteristic
380#388C2×C411yescharacteristic
381#388C2×C411yescharacteristic
382#388C2×C411yescharacteristic
383#388C2×C411yescharacteristic
384#387C2×C411yescharacteristic
385#387C2×C411yescharacteristic
386#387C2×C411yescharacteristic
387#387C2×C411yescharacteristic
388#386C2×C411yescharacteristic
389#386C2×C411yescharacteristic
390#386C2×C411yescharacteristic
391#386C2×C411yescharacteristic
392#386C2×C411yescharacteristic
393#386C2×C411yescharacteristic
394#386C2×C411yescharacteristic
395#386C2×C411yescharacteristic
396#385C2×C411yescharacteristic
397#385C2×C411yescharacteristic
398#385C2×C411yescharacteristic
399#385C2×C411yescharacteristic
400#382C2×C411yescharacteristic
401#382C2×C411yescharacteristic
402#380C2×C411yescharacteristic
403#380C2×C411yescharacteristic
404C4×C4⋊C4C2×C411yescharacteristic
405C4×C4⋊C4C2×C411yescharacteristic
406C4×C4⋊C4C2×C411yescharacteristic
407C4×C4⋊C4C2×C411yescharacteristic
408C4×C4⋊C4C2×C411yescharacteristic
409C4×C4⋊C4C2×C411yescharacteristic
410C4×C4⋊C4C2311yescharacteristic
411C4×C4⋊C4C2311yescharacteristic
412C4×C4⋊C4C2311yescharacteristic
413C4×C4⋊C4C2311yescharacteristic
414C4×C22⋊C4C2×C411yescharacteristic
415C4×C22⋊C4C2×C411yescharacteristic
416C4×C22⋊C4C2×C411yescharacteristic
417C4×C22⋊C4C2×C411yescharacteristic
418C4×C22⋊C4C2×C411yescharacteristic
419C4×C22⋊C4C2×C411yescharacteristic
420C4×C22⋊C4C2×C411yescharacteristic
421C4×C22⋊C4C2×C411yescharacteristic
422C4×C22⋊C4C2311yescharacteristic
423C4×C22⋊C4C2311yescharacteristic
424C4×C22⋊C4C2311yescharacteristic
425C4×C22⋊C4C2311yescharacteristic
426C4×C22⋊C4C2311yescharacteristic
427C4×C22⋊C4C2311yescharacteristic
428C4×C22⋊C4C2311yescharacteristic
429C4×C22⋊C4C2311yescharacteristic
430#376C2311yescharacteristic
431#376C2311yescharacteristic
432C43C2311yescharacteristic
433C43C2311yescharacteristic
434#336C2311yescharacteristic
435#336C2311yescharacteristic
436#336C2311yescharacteristic
437#336C2311yescharacteristic
438#336C2311yescharacteristic
439#336C2311yescharacteristic
440#336C2311yescharacteristic
441#336C2311yescharacteristic
442#336C2311yescharacteristic
443#336C2311yescharacteristic
444#336C2311yescharacteristic
445#336C2311yescharacteristic
446#336C2311yescharacteristic
447#336C2311yescharacteristic
448#336C2311yescharacteristic
449#336C2311yescharacteristic
450#336C2311yescharacteristic
451#336C2311yescharacteristic
452#336C2311yescharacteristic
453#336C2311yescharacteristic
454#336C2311yescharacteristic
455#336C2311yescharacteristic
456#336C2311yescharacteristic
457#336C2311yescharacteristic
458#336C2311yescharacteristic
459#336C2311yescharacteristic
460#336C2311yescharacteristic
461#336C2311yescharacteristic
462#336C2311yescharacteristic
463#336C2311yescharacteristic
464#336C2311yescharacteristic
465#336C2311yescharacteristic
466#336C2311yescharacteristic
467#336C2311yescharacteristic
468#336C2311yescharacteristic
469#336C2311yescharacteristic
470#336C2311yescharacteristic
471#336C2311yescharacteristic
472#336C2311yescharacteristic
473#336C2311yescharacteristic
474#336C2311yescharacteristic
475#336C2311yescharacteristic
476#336C2311yescharacteristic
477#336C2311yescharacteristic
478#336C2311yescharacteristic
479#336C2311yescharacteristic
480#336C2311yescharacteristic
481#336C2311yescharacteristic
482#336C2311yescharacteristic
483#336C2311yescharacteristic
484#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490C22×Q8C22×C411yescharacteristic
491C22×Q8C22×C411yescharacteristic
492C22×D4C22×C411yescharacteristic
493C22×D4C22×C411yescharacteristic
494C22×D4C22×C411yescharacteristic
495C22×D4C22×C411yescharacteristic
496C22×D4C22×C411yescharacteristic
497C22×D4C22×C411yescharacteristic
498C22×D4C22×C411yescharacteristic
499C22×D4C22×C411yescharacteristic
500C22×D4C22×C411yescharacteristic
501C22×D4C22×C411yescharacteristic
502C23×C4C22×C411yescharacteristic
503C23×C4C22×C411yescharacteristic
504C23×C4C22×C411yescharacteristic
505C23×C4C22×C411yescharacteristic
506C23×C4C22×C411yescharacteristic
507C23×C4C22×C411yescharacteristic
508C23×C4C2411yescharacteristic
509C23×C4C2411yescharacteristic
510C23×C4C2411yescharacteristic
511C23×C4C2411yescharacteristic
512C23×C4C2411yescharacteristic
513C2×M16—22no—
514C2×M16—22no—
515C2×M16—41no—
516C2×M16—41no—
517C2×M16—41no—
518C2×M16—41no—
519C2×M16—41no—
520C2×M16—41no—
521C2×M16—41no—
522C2×M16—41no—
523C2×M16—41no—
524C2×M16—41no—
525C2×M16—41no—
526C2×M16—41no—
527C2×M16—41no—
528C2×M16—41no—
529C2×M16—41no—
530C2×M16—41no—
531C2×M16—41no—
532C2×M16—41no—
533C2×M16—41no—
534C2×M16—41no—
535C2×M16—41no—
536C2×M16—41no—
537C22×C8—22no—
538C22×C8—22no—
539C22×C8—41no—
540C22×C8—41no—
541C22×C8—41no—
542C22×C8—41no—
543C22×C8—41no—
544C22×C8—41no—
545C22×C8—41no—
546C22×C8—41no—
547C22×C8—41no—
548C22×C8—41no—
549C22×C8C2411yescharacteristic
550C22×C8C2411yescharacteristic
551C22×C8C2411yescharacteristic
552C22×C8C2411yescharacteristic
553C22×C8C2411yescharacteristic
554C22×C8C2411yescharacteristic
555C22×C8C2411yescharacteristic
556C22×C8C2411yescharacteristic
557C22×C8C2411yescharacteristic
558C22×C8C2411yescharacteristic
559C22×C8C2411yescharacteristic
560C22×C8C2411yescharacteristic
561C22×C8C2411yescharacteristic
562C22×C8C2411yescharacteristic
563C22×C8C2411yescharacteristic
564C22×C8C2411yescharacteristic
565#126—42no—
566#126—42no—
567#126—42no—
568#126—42no—
569#125—42no—
570#125—42no—
571#124—42no—
572#124—42no—
573#124—42no—
574#124—42no—
575#123—42no—
576#123—42no—
577#123—42no—
578#123—42no—
579C22⋊Q8—42no—
580C22⋊Q8—42no—
581#121—42no—
582#121—42no—
583#121—42no—
584#121—42no—
585C4×Q8—41no—
586C4×Q8—41no—
587C4×Q8—41no—
588C4×Q8—41no—
589C4×D4—22no—
590C4×D4—22no—
591C4×D4—22no—
592C4×D4—22no—
593C4×D4—22no—
594C4×D4—22no—
595C4×D4—22no—
596C4×D4—22no—
597C4×D4—42no—
598C4×D4—41no—
599C4×D4—41no—
600C4×D4—41no—
601C4×D4—41no—
602C4×D4—41no—
603C4×D4—41no—
604C4×D4—41no—
605C4×D4—41no—
606C4×D4—41no—
607C4×D4—41no—
608C4×D4—41no—
609C4×D4—41no—
610C4×D4—42no—
611#117—22no—
612#117—22no—
613#117—41no—
614#117—41no—
615#117—41no—
616#117—41no—
617#117—41no—
618#117—41no—
619C2×C4⋊C4C22×C411yescharacteristic
620C2×C4⋊C4C22×C411yescharacteristic
621C2×C4⋊C4C22×C411yescharacteristic
622C2×C4⋊C4C22×C411yescharacteristic
623C2×C4⋊C4C22×C411yescharacteristic
624C2×C4⋊C4C22×C411yescharacteristic
625C2×C4⋊C4C22×C411yescharacteristic
626C2×C4⋊C4C22×C411yescharacteristic
627C2×C4⋊C4C22×C411yescharacteristic
628C2×C4⋊C4C22×C411yescharacteristic
629C2×C4⋊C4C22×C411yescharacteristic
630C2×C4⋊C4C22×C411yescharacteristic
631C2×C4⋊C4C22×C411yescharacteristic
632C2×C4⋊C4C22×C411yescharacteristic
633C2×C4⋊C4C22×C411yescharacteristic
634C2×C4⋊C4C22×C411yescharacteristic
635C2×C4⋊C4C22×C411yescharacteristic
636C2×C4⋊C4C22×C411yescharacteristic
637C2×C4⋊C4C22×C411yescharacteristic
638C2×C4⋊C4C22×C411yescharacteristic
639C2×C4⋊C4C22×C411yescharacteristic
640C2×C4⋊C4C22×C411yescharacteristic
641C2×C4⋊C4C22×C411yescharacteristic
642C2×C4⋊C4C22×C411yescharacteristic
643C2×C4⋊C4C22×C411yescharacteristic
644C2×C4⋊C4C22×C411yescharacteristic
645C2×C4⋊C4C22×C411yescharacteristic
646C2×C4⋊C4C22×C411yescharacteristic
647C2×C4⋊C4C22×C411yescharacteristic
648C2×C4⋊C4C22×C411yescharacteristic
649C2×C4⋊C4C22×C411yescharacteristic
650C2×C4⋊C4C22×C411yescharacteristic
651C2×C22⋊C4C22×C411yescharacteristic
652C2×C22⋊C4C22×C411yescharacteristic
653C2×C22⋊C4C22×C411yescharacteristic
654C2×C22⋊C4C22×C411yescharacteristic
655C2×C22⋊C4C22×C411yescharacteristic
656C2×C22⋊C4C22×C411yescharacteristic
657C2×C22⋊C4C22×C411yescharacteristic
658C2×C22⋊C4C22×C411yescharacteristic
659C2×C22⋊C4C22×C411yescharacteristic
660C2×C22⋊C4C22×C411yescharacteristic
661C2×C22⋊C4C22×C411yescharacteristic
662C2×C22⋊C4C22×C411yescharacteristic
663C2×C22⋊C4C22×C411yescharacteristic
664C2×C22⋊C4C22×C411yescharacteristic
665C2×C22⋊C4C22×C411yescharacteristic
666C2×C22⋊C4C22×C411yescharacteristic
667C2×C22⋊C4C22×C411yescharacteristic
668C2×C22⋊C4C22×C411yescharacteristic
669C2×C22⋊C4C22×C411yescharacteristic
670C2×C22⋊C4C22×C411yescharacteristic
671C2×C22⋊C4C22×C411yescharacteristic
672C2×C22⋊C4C22×C411yescharacteristic
673C2×C22⋊C4C22×C411yescharacteristic
674C2×C22⋊C4C22×C411yescharacteristic
675C2×C22⋊C4C22×C411yescharacteristic
676C2×C22⋊C4C22×C411yescharacteristic
677C2×C22⋊C4C22×C411yescharacteristic
678C2×C22⋊C4C22×C411yescharacteristic
679C2×C22⋊C4C22×C411yescharacteristic
680C2×C22⋊C4C22×C411yescharacteristic
681C2×C22⋊C4C22×C411yescharacteristic
682C2×C22⋊C4C22×C411yescharacteristic
683C2×C22⋊C4C22×C411yescharacteristic
684C2×C22⋊C4C22×C411yescharacteristic
685C2×C22⋊C4C22×C411yescharacteristic
686C2×C22⋊C4C22×C411yescharacteristic
687C2×C22⋊C4C22×C411yescharacteristic
688C2×C22⋊C4C22×C411yescharacteristic
689C2×C22⋊C4C22×C411yescharacteristic
690C2×C22⋊C4C22×C411yescharacteristic
691C2×C22⋊C4C22×C411yescharacteristic
692C2×C22⋊C4C22×C411yescharacteristic
693C2×C22⋊C4C22×C411yescharacteristic
694C2×C22⋊C4C22×C411yescharacteristic
695C2×C42—41no—
696C2×C42—41no—
697C2×C42—41no—
698C2×C42—41no—
699C2×C42—41no—
700C2×C42—41no—
701C2×C42C22×C411yescharacteristic
702C2×C42C22×C411yescharacteristic
703C2×C42C22×C411yescharacteristic
704C2×C42C22×C411yescharacteristic
705C2×C42C22×C411yescharacteristic
706C2×C42C22×C411yescharacteristic
707C2×C42C22×C411yescharacteristic
708C2×C42C22×C411yescharacteristic
709C2×C42C22×C411yescharacteristic
710C2×C42C22×C411yescharacteristic
711C2×C42C22×C411yescharacteristic
712C2×C42C22×C411yescharacteristic
713C2×C42C22×C411yescharacteristic
714C2×C42C22×C411yescharacteristic
715C2×C42C2411yescharacteristic
716C2×C42C2411yescharacteristic
717C2×C42C2411yescharacteristic
718C2×C42C2411yescharacteristic
719C2×C42C2411yescharacteristic
720C2×C42C2411yescharacteristic
721C2×C42C2411yescharacteristic
722C2×C42C2411yescharacteristic
723C2×C42C2411yescharacteristic
724C2×C42C2411yescharacteristic
725C4⋊C8—41no—
726C4⋊C8—41no—
727C4⋊C8—41no—
728C4⋊C8—41no—
729C4⋊C8—41no—
730C4⋊C8—41no—
731C4⋊C8—41no—
732C4⋊C8—41no—
733C4⋊C8—41no—
734C4⋊C8—41no—
735C4⋊C8—41no—
736C4⋊C8—41no—
737C22⋊C8—22no—
738C22⋊C8—22no—
739C22⋊C8—22no—
740C22⋊C8—22no—
741C22⋊C8—41no—
742C22⋊C8—41no—
743C22⋊C8—41no—
744C22⋊C8—41no—
745C22⋊C8—41no—
746C22⋊C8—41no—
747C22⋊C8—41no—
748C22⋊C8—41no—
749C22⋊C8—41no—
750C22⋊C8—41no—
751C22⋊C8—41no—
752C22⋊C8—41no—
753C22⋊C8—41no—
754C22⋊C8—41no—
755C22⋊C8—41no—
756C22⋊C8—41no—
757C22⋊C8—41no—
758C22⋊C8—41no—
759C22⋊C8—41no—
760C22⋊C8—41no—
761C22⋊C8—41no—
762C22⋊C8—41no—
763C22⋊C8—41no—
764C22⋊C8—41no—
765#97—41no—
766#97—41no—
767#97—41no—
768#97—41no—
769#97—41no—
770#97—41no—
771C4×C8—41no—
772C4×C8—41no—
773C4×C8—41no—
774C4×C8—41no—
775C4×C8—41no—
776C4×C8—41no—
777#95C22×C411yescharacteristic
778#95C22×C411yescharacteristic
779#95C22×C411yescharacteristic
780#95C22×C411yescharacteristic
781#95C22×C411yescharacteristic
782#95C22×C411yescharacteristic
783#95C22×C411yescharacteristic
784#95C22×C411yescharacteristic
785#95C22×C411yescharacteristic
786#95C22×C411yescharacteristic
787#95C22×C411yescharacteristic
788#95C22×C411yescharacteristic
789#95C22×C411yescharacteristic
790#95C22×C411yescharacteristic
791#95C22×C411yescharacteristic
792#95C22×C411yescharacteristic
793#95C22×C411yescharacteristic
794#95C22×C411yescharacteristic
795#95C22×C411yescharacteristic
796#95C22×C411yescharacteristic
797#95C22×C411yescharacteristic
798#95C22×C411yescharacteristic
799#95C22×C411yescharacteristic
800#95C22×C411yescharacteristic
801#95C22×C411yescharacteristic
802#95C22×C411yescharacteristic
803#95C22×C411yescharacteristic
804#95C22×C411yescharacteristic
805#95C22×C411yescharacteristic
806#95C22×C411yescharacteristic
807#95C22×C411yescharacteristic
808#95C22×C411yescharacteristic
809C24C23×C411yescharacteristic
810C24C23×C411yescharacteristic
811C24C23×C411yescharacteristic
812C24C23×C411yescharacteristic
813C24C23×C411yescharacteristic
814C2×Q8—22no—
815C2×Q8—41no—
816C2×Q8—41no—
817C2×Q8—41no—
818C2×Q8—41no—
819C2×Q8—41no—
820C2×D4—22no—
821C2×D4—22no—
822C2×D4—22no—
823C2×D4—22no—
824C2×D4—22no—
825C2×D4—41no—
826C2×D4—41no—
827C2×D4—41no—
828C2×D4—41no—
829C2×D4—41no—
830C2×D4—41no—
831C2×D4—41no—
832C2×D4—41no—
833C2×D4—41no—
834C2×D4—41no—
835C2×D4—41no—
836C2×D4—41no—
837C2×D4—41no—
838C2×D4—41no—
839C2×D4—41no—
840C2×D4—41no—
841C2×D4—41no—
842C2×D4—41no—
843C2×D4—41no—
844C2×D4—41no—
845C2×D4—41no—
846C2×D4—41no—
847C2×D4—41no—
848C2×D4—41no—
849C2×D4—41no—
850C22×C4—21no—
851C22×C4—21no—
852C22×C4—21no—
853C22×C4—21no—
854C22×C4—21no—
855C22×C4—21no—
856C22×C4—21no—
857C22×C4—21no—
858C22×C4—21no—
859C22×C4—21no—
860C22×C4—21no—
861C22×C4—21no—
862C22×C4—21no—
863C22×C4—21no—
864C22×C4—21no—
865C22×C4—21no—
866C22×C4—21no—
867C22×C4—21no—
868C22×C4—21no—
869C22×C4—21no—
870C22×C4—21no—
871C22×C4—21no—
872C22×C4—21no—
873C22×C4—21no—
874C22×C4—21no—
875C22×C4—21no—
876C22×C4—21no—
877C22×C4—21no—
878C22×C4—22no—
879C22×C4—22no—
880C22×C4—41no—
881C22×C4—41no—
882C22×C4—41no—
883C22×C4—41no—
884C22×C4—41no—
885C22×C4—41no—
886C22×C4—41no—
887C22×C4—41no—
888C22×C4—41no—
889C22×C4—41no—
890C22×C4—41no—
891C22×C4—41no—
892C22×C4—41no—
893C22×C4—41no—
894C22×C4—41no—
895C22×C4—41no—
896C22×C4C23×C411yescharacteristic
897C22×C4C23×C411yescharacteristic
898C22×C4C23×C411yescharacteristic
899C22×C4C23×C411yescharacteristic
900C22×C4C23×C411yescharacteristic
901C22×C4C23×C411yescharacteristic
902C22×C4C23×C411yescharacteristic
903C22×C4C23×C411yescharacteristic
904C22×C4C23×C411yescharacteristic
905C22×C4C23×C411yescharacteristic
906C22×C4C23×C411yescharacteristic
907C22×C4C23×C411yescharacteristic
908C22×C4C23×C411yescharacteristic
909C22×C4C23×C411yescharacteristic
910C22×C4C23×C411yescharacteristic
911C22×C4C23×C411yescharacteristic
912C22×C4C23×C411yescharacteristic
913C22×C4C23×C411yescharacteristic
914C22×C4C23×C411yescharacteristic
915C22×C4C23×C411yescharacteristic
916C22×C4C23×C411yescharacteristic
917C22×C4C23×C411yescharacteristic
918C22×C4C23×C411yescharacteristic
919C22×C4C23×C411yescharacteristic
920C22×C4C23×C411yescharacteristic
921C22×C4H(5,𝔽2)12yes—
922C22×C4H(5,𝔽2)12yes—
923C22×C4C2511yescharacteristic
924M16—82no—
925M16—82no—
926M16—82no—
927M16—82no—
928M16—82no—
929M16—82no—
930M16—82no—
931M16—82no—
932C2×C8—21no—
933C2×C8—21no—
934C2×C8—21no—
935C2×C8—21no—
936C2×C8—21no—
937C2×C8—21no—
938C2×C8—21no—
939C2×C8—21no—
940C2×C8—21no—
941C2×C8—21no—
942C2×C8—21no—
943C2×C8—21no—
944C2×C8—21no—
945C2×C8—21no—
946C2×C8—21no—
947C2×C8—21no—
948C2×C8—21no—
949C2×C8—21no—
950C2×C8—21no—
951C2×C8—21no—
952C2×C8—21no—
953C2×C8—21no—
954C2×C8—21no—
955C2×C8—21no—
956C2×C8—21no—
957C2×C8—21no—
958C2×C8—21no—
959C2×C8—21no—
960C2×C8—21no—
961C2×C8—21no—
962C2×C8—21no—
963C2×C8—21no—
964C2×C8—21no—
965C2×C8—21no—
966C2×C8—21no—
967C2×C8—21no—
968C2×C8—21no—
969C2×C8—21no—
970C2×C8—21no—
971C2×C8—21no—
972C2×C8—21no—
973C2×C8—21no—
974C2×C8—21no—
975C2×C8—21no—
976C2×C8—21no—
977C2×C8—21no—
978C2×C8—21no—
979C2×C8—21no—
980C2×C8—82no—
981C2×C8—82no—
982C2×C8—82no—
983C2×C8—82no—
984C4⋊C4—22no—
985C4⋊C4—22no—
986C4⋊C4—22no—
987C4⋊C4—22no—
988C4⋊C4—22no—
989C4⋊C4—22no—
990C4⋊C4—22no—
991C4⋊C4—22no—
992C4⋊C4—41no—
993C4⋊C4—41no—
994C4⋊C4—41no—
995C4⋊C4—41no—
996C4⋊C4—41no—
997C4⋊C4—41no—
998C4⋊C4—41no—
999C4⋊C4—41no—
1000C4⋊C4—41no—
1001C4⋊C4—41no—
1002C4⋊C4—41no—
1003C4⋊C4—41no—
1004C4⋊C4—41no—
1005C4⋊C4—41no—
1006C4⋊C4—41no—
1007C4⋊C4—41no—
1008C4⋊C4—41no—
1009C4⋊C4—41no—
1010C4⋊C4—41no—
1011C4⋊C4—41no—
1012C4⋊C4—41no—
1013C4⋊C4—41no—
1014C4⋊C4—41no—
1015C4⋊C4—41no—
1016C22⋊C4—22no—
1017C22⋊C4—22no—
1018C22⋊C4—22no—
1019C22⋊C4—22no—
1020C22⋊C4—22no—
1021C22⋊C4—22no—
1022C22⋊C4—22no—
1023C22⋊C4—22no—
1024C22⋊C4—22no—
1025C22⋊C4—22no—
1026C22⋊C4—22no—
1027C22⋊C4—22no—
1028C22⋊C4—22no—
1029C22⋊C4—22no—
1030C22⋊C4—22no—
1031C22⋊C4—22no—
1032C22⋊C4—41no—
1033C22⋊C4—41no—
1034C22⋊C4—41no—
1035C22⋊C4—41no—
1036C22⋊C4—41no—
1037C22⋊C4—41no—
1038C22⋊C4—41no—
1039C22⋊C4—41no—
1040C22⋊C4—41no—
1041C22⋊C4—41no—
1042C22⋊C4—41no—
1043C22⋊C4—41no—
1044C22⋊C4—41no—
1045C22⋊C4—41no—
1046C22⋊C4—41no—
1047C22⋊C4—41no—
1048C22⋊C4—41no—
1049C22⋊C4—41no—
1050C22⋊C4—41no—
1051C22⋊C4—41no—
1052C22⋊C4—41no—
1053C22⋊C4—41no—
1054C22⋊C4—41no—
1055C22⋊C4—41no—
1056C22⋊C4—41no—
1057C22⋊C4—41no—
1058C22⋊C4—41no—
1059C22⋊C4—41no—
1060C42—22no—
1061C42—22no—
1062C42—21no—
1063C42—21no—
1064C42—21no—
1065C42—21no—
1066C42—21no—
1067C42—21no—
1068C42—21no—
1069C42—21no—
1070C42—21no—
1071C42—21no—
1072C42—21no—
1073C42—21no—
1074C42—21no—
1075C42—21no—
1076C42—21no—
1077C42—21no—
1078C42—21no—
1079C42—21no—
1080C42—21no—
1081C42—21no—
1082C42—41no—
1083C42—41no—
1084C42—41no—
1085C42—41no—
1086C42—41no—
1087C42—41no—
1088C42—41no—
1089C42—41no—
1090C42—41no—
1091C42—41no—
1092C42—41no—
1093C42—41no—
1094C23—21no—
1095C23—21no—
1096C23—21no—
1097C23—21no—
1098C23—21no—
1099C23—21no—
1100C23—21no—
1101C23—21no—
1102C23—21no—
1103C23—21no—
1104C23—21no—
1105C23—21no—
1106C23—21no—
1107C23—21no—
1108C23—21no—
1109C23—21no—
1110C23—21no—
1111C23—21no—
1112C23—21no—
1113C23—21no—
1114C23—21no—
1115C23—21no—
1116C23—21no—
1117C23—21no—
1118C23—21no—
1119C23—21no—
1120C23—21no—
1121C23—21no—
1122C23—21no—
1123C23—21no—
1124C23—21no—
1125C23—21no—
1126C23—21no—
1127C23—21no—
1128C23#51812yes—
1129C23C24×C411yescharacteristic
1130Q8—82no—
1131Q8—82no—
1132D4—44no—
1133D4—44no—
1134D4—82no—
1135D4—82no—
1136D4—82no—
1137D4—82no—
1138D4—82no—
1139D4—82no—
1140D4—82no—
1141D4—82no—
1142C2×C4—21no—
1143C2×C4—21no—
1144C2×C4—21no—
1145C2×C4—21no—
1146C2×C4—21no—
1147C2×C4—21no—
1148C2×C4—22no—
1149C2×C4—22no—
1150C2×C4—22no—
1151C2×C4—22no—
1152C2×C4—21no—
1153C2×C4—21no—
1154C2×C4—21no—
1155C2×C4—21no—
1156C2×C4—21no—
1157C2×C4—21no—
1158C2×C4—21no—
1159C2×C4—21no—
1160C2×C4—21no—
1161C2×C4—21no—
1162C2×C4—21no—
1163C2×C4—21no—
1164C2×C4—21no—
1165C2×C4—21no—
1166C2×C4—21no—
1167C2×C4—21no—
1168C2×C4—21no—
1169C2×C4—21no—
1170C2×C4—21no—
1171C2×C4—21no—
1172C2×C4—21no—
1173C2×C4—21no—
1174C2×C4—21no—
1175C2×C4—21no—
1176C2×C4—21no—
1177C2×C4—21no—
1178C2×C4—21no—
1179C2×C4—21no—
1180C2×C4—21no—
1181C2×C4—21no—
1182C2×C4—21no—
1183C2×C4—21no—
1184C2×C4—21no—
1185C2×C4—21no—
1186C2×C4—21no—
1187C2×C4—21no—
1188C2×C4—21no—
1189C2×C4—21no—
1190C2×C4—21no—
1191C2×C4—21no—
1192C2×C4—21no—
1193C2×C4—21no—
1194C2×C4—21no—
1195C2×C4—21no—
1196C2×C4—21no—
1197C2×C4—21no—
1198C2×C4—21no—
1199C2×C4—21no—
1200C2×C4—21no—
1201C2×C4—21no—
1202C2×C4—21no—
1203C2×C4—21no—
1204C2×C4—21no—
1205C2×C4—21no—
1206C2×C4—21no—
1207C2×C4—21no—
1208C2×C4—21no—
1209C2×C4—21no—
1210C2×C4—21no—
1211C2×C4—21no—
1212C2×C4—21no—
1213C2×C4—21no—
1214C2×C4—21no—
1215C2×C4—21no—
1216C2×C4—21no—
1217C2×C4—21no—
1218C2×C4—41no—
1219C2×C4—41no—
1220C2×C4—41no—
1221C2×C4—41no—
1222C2×C4—41no—
1223C2×C4—41no—
1224C2×C4—41no—
1225C2×C4—41no—
1226C2×C4—41no—
1227C2×C4—41no—
1228C2×C4—41no—
1229C2×C4—41no—
1230C2×C4—41no—
1231C2×C4—41no—
1232C2×C4—41no—
1233C2×C4—41no—
1234C2×C4—82no—
1235C2×C4—82no—
1236C2×C4—82no—
1237C2×C4—82no—
1238C2×C4—82no—
1239C2×C4—82no—
1240C2×C4#51812yes—
1241C2×C4#56812yes—
1242C2×C4#56812yes—
1243C2×C4C2×H(5,𝔽2)11yescharacteristic
1244C2×C4C2×H(5,𝔽2)11yescharacteristic
1245C2×C4#58511yescharacteristic
1246C2×C4#58511yescharacteristic
1247C2×C4#58511yescharacteristic
1248C2×C4#58511yescharacteristic
1249C8—41no—
1250C8—41no—
1251C8—41no—
1252C8—41no—
1253C8—41no—
1254C8—41no—
1255C8—41no—
1256C8—41no—
1257C8—41no—
1258C8—41no—
1259C8—41no—
1260C8—41no—
1261C8—41no—
1262C8—41no—
1263C8—41no—
1264C8—41no—
1265C22—22no—
1266C22—22no—
1267C22—22no—
1268C22—41no—
1269C22—41no—
1270C22—41no—
1271C22—41no—
1272C22—41no—
1273C22—41no—
1274C22—41no—
1275C22—41no—
1276C22—41no—
1277C22—41no—
1278C22—41no—
1279C22—41no—
1280C22—41no—
1281C22—41no—
1282C22—41no—
1283C22—41no—
1284C22—41no—
1285C22—41no—
1286C22—41no—
1287C22—41no—
1288C22—41no—
1289C22—41no—
1290C22—41no—
1291C22—41no—
1292C22—41no—
1293C22—41no—
1294C22—41no—
1295C22—41no—
1296C22—41no—
1297C22—41no—
1298C22—41no—
1299C22—41no—
1300C22C2×#51811yescharacteristic
1301C22#342811yescharacteristic
1302C22#342811yescharacteristic
1303C22C2×#56811yescharacteristic
1304C22C2×#56811yescharacteristic
1305C22#357311yescharacteristic
1306C22#357311yescharacteristic
1307C4—22no—
1308C4—22no—
1309C4—22no—
1310C4—41no—
1311C4—41no—
1312C4—41no—
1313C4—41no—
1314C4—41no—
1315C4—41no—
1316C4—41no—
1317C4—41no—
1318C4—41no—
1319C4—41no—
1320C4—41no—
1321C4—41no—
1322C4—41no—
1323C4—41no—
1324C4—41no—
1325C4—41no—
1326C4—41no—
1327C4—41no—
1328C4—41no—
1329C4—41no—
1330C4—41no—
1331C4—41no—
1332C4#356011yescharacteristic
1333C4#356011yescharacteristic
1334C4#356011yescharacteristic
1335C4#356011yescharacteristic
1336C2—42no—
1337C2—81no—
1338C2—81no—
1339C2—81no—
1340C2—81no—
1341C2#3438811yescharacteristic
1342C2#6024011yescharacteristic
1343C2#6024111yescharacteristic
1344C2#6029511yescharacteristic
1345C2#6029711yescharacteristic
1346C2#6029911yescharacteristic
1347C2#6030011yescharacteristic
subgroupG/H
center, Frattini, cosocleC22×C4C25
commutator, socleC23C24×C4
prime radical#34880C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #23368C2semidirect
3. #23367C2semidirect
4. #23359C2semidirect
5. #23359C2semidirect
6. #23125C2semidirect
7. #23125C2semidirect
8. #23125C2semidirect
9. #23123C2semidirect
10. #22794C2semidirect
11. #22793C2semidirect
12. #22792C2semidirect
13. #22792C2semidirect
14. #22475C2semidirect
15. #22474C2semidirect
16. #22472C2semidirect
17. #22472C2semidirect
18. #22393C2semidirect
19. #22391C2semidirect
20. #22389C2semidirect
21. #22387C2semidirect
22. #22178C2semidirect
23. #22176C2semidirect
24. #22174C2semidirect
25. #22172C2semidirect
26. #22007C2semidirect
27. #22005C2semidirect
28. #22002C2semidirect
29. #21998C2semidirect
30. #20786C2semidirect
31. #20774C2semidirect

Maximal subgroups

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

subgroupindex
#348802
#233682
#233672
#233592
#231252
#231232
#227942
#227932
#227922
#224752
#224742
#224722
#223932
#223912
#223892
#223872
#221782
#221762
#221742
#221722
#220072
#220052
#220022
#219982
#207862
#207742