Finite Group Databasebeta

← #26226926

Subgroups — #26226926

Order 12032.

930 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#13093986C211yesmaximal, characteristic
2#20243994C211yesmaximal, characteristic, complemented
3#20243992C211yesmaximal, characteristic, complemented
4#20243947C211yesmaximal, characteristic, complemented
5#20243679C211yesmaximal, characteristic
6#20243679C211yesmaximal, characteristic
7#20243567C211yesmaximal, characteristic, complemented
8#20243564C211yesmaximal, characteristic, complemented
9#20243530C211yesmaximal, characteristic, complemented
10#20243503C211yesmaximal, characteristic, complemented
11#20243455C211yesmaximal, characteristic, complemented
12#20243365C211yesmaximal, characteristic, complemented
13C4×(C2×D47)⋊C8C211yesmaximal, characteristic, complemented
14#336×D47C211yesmaximal, characteristic, complemented
15C47×#1916C211yesmaximal, characteristic, complemented
16C22×C8×D47C2211yescharacteristic
17C22×C8×D47C2211yescharacteristic
18C2×C4×D188C2211yescharacteristic
19C2×#13093986C411yescharacteristic
20C2×#13093986C411yescharacteristic
21C2×C42×D47C2211yescharacteristic
22C2×C42×D47C2211yescharacteristic
23C2×C4⋊(C47⋊C8)C2211yescharacteristic
24C2×Dic47⋊C8C2211yescharacteristic
25C2×Dic47⋊C8C2211yescharacteristic
26C2×(C2×D47)⋊C8C2211yescharacteristic
27C2×(C2×D47)⋊C8C2211yescharacteristic
28C2×(C2×D47)⋊C8C2211yescharacteristic
29C2×(C2×D47)⋊C8C2211yescharacteristic
30C2×(C2×D47)⋊C8C2211yescharacteristic
31C2×(C2×D47)⋊C8C2211yescharacteristic
32C2×C4×C47⋊C8C2211yescharacteristic
33C4⋊C4×Dic47C411yescharacteristic
34C4⋊C4×Dic47C411yescharacteristic
35C4×(C2×D47)⋊C4C2211yescharacteristic
36C4×(C2×D47)⋊C4C2211yescharacteristic
37#15688970C411yescharacteristic
38#15688970C411yescharacteristic
39#15688970C411yescharacteristic
40#15688970C411yescharacteristic
41C42×Dic47C2211yescharacteristic
42#15688878C2211yescharacteristic
43#15688878C2211yescharacteristic
44#15688878C2211yescharacteristic
45#15688878C2211yescharacteristic
46#15688877C2211yescharacteristic
47#15688877C2211yescharacteristic
48#15688877C2211yescharacteristic
49#15688877C2211yescharacteristic
50#15688877C2211yescharacteristic
51#15688877C2211yescharacteristic
52C2×C4⋊C8×C47C2211yescharacteristic
53C2×C4×C8×C47C2211yescharacteristic
54C4×C4⋊C4×C47C2211yescharacteristic
55C47×#336C2211yescharacteristic
56C47×#336C2211yescharacteristic
57C47×#336C2211yescharacteristic
58C47×#336C2211yescharacteristic
59C22×D188C2×C411yescharacteristic
60C22×C4×D47C2×C411yescharacteristic
61C22×C4×D47C2×C411yescharacteristic
62C22×C4×D47C2×C411yescharacteristic
63C22×C4×D47C2×C411yescharacteristic
64C22×C4×D47C2311yescharacteristic
65C22×C4×D47C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67C22×C47⋊C8C2311yescharacteristic
68C22×C47⋊C8C2311yescharacteristic
69C22×C47⋊C8C2311yescharacteristic
70C2×C8×D47—22no—
71C2×C8×D47—22no—
72C2×C8×D47—41no—
73C2×C8×D47—41no—
74C2×C8×D47—41no—
75C2×C8×D47—41no—
76C4×D188—22no—
77C4×D188—22no—
78#13093986—24no—
79#13093986C818yescomplemented
80C2×C4⋊Dic47C2×C411yescharacteristic
81C2×(C2×D47)⋊C4C2×C411yescharacteristic
82C2×(C2×D47)⋊C4C2×C411yescharacteristic
83C2×(C2×D47)⋊C4C2×C411yescharacteristic
84C2×(C2×D47)⋊C4C2×C411yescharacteristic
85C2×(C2×D47)⋊C4C2×C411yescharacteristic
86C2×(C2×D47)⋊C4C2×C411yescharacteristic
87C2×C4×Dic47C2×C411yescharacteristic
88C2×C4×Dic47C2×C411yescharacteristic
89C2×C4×Dic47C2×C411yescharacteristic
90C2×C4×Dic47C2×C411yescharacteristic
91C2×C4×Dic47C2×C411yescharacteristic
92C2×C4×Dic47C2×C411yescharacteristic
93C2×C4×Dic47C2×C411yescharacteristic
94C2×C4×Dic47C2×C411yescharacteristic
95C2×C4×Dic47C2311yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C42×D47—41no—
98C42×D47—41no—
99C42×D47—41no—
100C42×D47—41no—
101C4⋊(C47⋊C8)—41no—
102Dic47⋊C8—41no—
103Dic47⋊C8—41no—
104(C2×D47)⋊C8—22no—
105(C2×D47)⋊C8—22no—
106(C2×D47)⋊C8—41no—
107(C2×D47)⋊C8—41no—
108(C2×D47)⋊C8—41no—
109(C2×D47)⋊C8—41no—
110C4×C47⋊C8—41no—
111C47⋊#95C2×C411yescharacteristic
112C47⋊#95C2×C411yescharacteristic
113C47⋊#95C2×C411yescharacteristic
114C47⋊#95C2×C411yescharacteristic
115C22×C8×C47C2311yescharacteristic
116C22×C8×C47C2311yescharacteristic
117C22×C8×C47C2311yescharacteristic
118C22×C8×C47C2311yescharacteristic
119C2×C4⋊C4×C47C2×C411yescharacteristic
120C2×C4⋊C4×C47C2×C411yescharacteristic
121C2×C42×C47C2311yescharacteristic
122C2×C42×C47C2311yescharacteristic
123C2×C42×C47C2311yescharacteristic
124C4⋊C8×C47—41no—
125C4×C8×C47—41no—
126#95×C47C2×C411yescharacteristic
127#95×C47C2×C411yescharacteristic
128C23×D47C22×C411yescharacteristic
129C23×D47C22×C411yescharacteristic
130C22×C4×C47C22×C411yescharacteristic
131C22×C4×C47C22×C411yescharacteristic
132C22×C4×C47C22×C411yescharacteristic
133C22×C4×C47C22×C411yescharacteristic
134C22×C4×C47C22×C411yescharacteristic
135C22×C4×C47C22×C411yescharacteristic
136C22×C4×C47C2411yescharacteristic
137C22×Dic47C22×C411yescharacteristic
138C22×Dic47C22×C411yescharacteristic
139C22×Dic47C22×C411yescharacteristic
140C22×Dic47C22×C411yescharacteristic
141C22×Dic47C22×C411yescharacteristic
142C22×Dic47C22×C411yescharacteristic
143C2×D188—22no—
144C2×D188—22no—
145C2×D188C2×C814yes—
146C2×C4×D47—21no—
147C2×C4×D47—21no—
148C2×C4×D47—21no—
149C2×C4×D47—21no—
150C2×C4×D47—21no—
151C2×C4×D47—21no—
152C2×C4×D47—21no—
153C2×C4×D47—21no—
154C2×C4×D47—21no—
155C2×C4×D47—21no—
156C2×C4×D47—22no—
157C2×C4×D47—41no—
158C2×C4×D47—41no—
159C2×C4×D47—41no—
160C2×C4×D47—41no—
161C2×C4×D47—41no—
162C2×C4×D47—41no—
163C2×C4×D47—41no—
164C2×C4×D47—41no—
165C2×C4×D47C2×C814yes—
166C2×C4×D47C2×C814yescomplemented
167C2×C4×D47M1614yes—
168C2×C4×D47#4112yes—
169C2×C4×D47#4112yes—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47—21no—
175C2×C8×C47—21no—
176C2×C8×C47—21no—
177C2×C8×C47—21no—
178C2×C8×C47—21no—
179C2×C8×C47—21no—
180C2×C8×C47—21no—
181C2×C8×C47—21no—
182C4⋊C4×C47—22no—
183C4⋊C4×C47C2×C814yescomplemented
184C42×C47—21no—
185C42×C47—21no—
186C42×C47—21no—
187C42×C47—21no—
188C42×C47—21no—
189C42×C47—21no—
190(C2×D47)⋊C4—22no—
191(C2×D47)⋊C4—22no—
192(C2×D47)⋊C4—22no—
193(C2×D47)⋊C4—22no—
194(C2×D47)⋊C4C2×C814yes—
195(C2×D47)⋊C4C2×C814yescomplemented
196C4⋊Dic47—22no—
197C4×Dic47—21no—
198C4×Dic47—21no—
199C4×Dic47—21no—
200C4×Dic47—21no—
201C4×Dic47—22no—
202C4×Dic47—41no—
203C4×Dic47—41no—
204C4×Dic47—41no—
205C4×Dic47—41no—
206C4×Dic47—41no—
207C4×Dic47—41no—
208C4×Dic47C2×C814yescomplemented
209C2×C47⋊C8—21no—
210C2×C47⋊C8—21no—
211C2×C47⋊C8—21no—
212C2×C47⋊C8—21no—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8—21no—
218C2×C47⋊C8—21no—
219C2×C47⋊C8—21no—
220C2×C47⋊C8—21no—
221C8×D47—44no—
222C8×D47—44no—
223C23×C47C23×C411yescharacteristic
224C22×D47—21no—
225C22×D47—21no—
226C22×D47—21no—
227C22×D47—21no—
228C22×D47—21no—
229C22×D47—21no—
230C22×D47—21no—
231C22×D47—21no—
232C22×D47—21no—
233C22×D47—21no—
234C22×D47#11712yes—
235C22×D47C22×C812yes—
236C22×D47C22×C812yes—
237C22×D47C2×M1612yes—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—21no—
241C2×C4×C47—21no—
242C2×C4×C47—21no—
243C2×C4×C47—21no—
244C2×C4×C47—21no—
245C2×C4×C47—21no—
246C2×C4×C47—21no—
247C2×C4×C47—21no—
248C2×C4×C47—21no—
249C2×C4×C47—21no—
250C2×C4×C47—21no—
251C2×C4×C47—21no—
252C2×C4×C47C22×C812yes—
253C2×C4×C47C22×C812yes—
254C2×C4×C47C22×C812yes—
255C2×C4×C47C2×M1612yes—
256C2×C4×C47C2×#4111yescharacteristic
257C2×C4×C47C2×#4111yescharacteristic
258C2×C4×C47H(5,𝔽2)11yescharacteristic
259C2×C4×C47H(5,𝔽2)11yescharacteristic
260C2×C4×C47H(5,𝔽2)11yescharacteristic
261C2×C4×C472−1+411yescharacteristic
262C2×Dic47—21no—
263C2×Dic47—21no—
264C2×Dic47—21no—
265C2×Dic47—21no—
266C2×Dic47—21no—
267C2×Dic47—21no—
268C2×Dic47—21no—
269C2×Dic47—21no—
270C2×Dic47—21no—
271C2×Dic47—21no—
272C2×Dic47—21no—
273C2×Dic47—21no—
274C2×Dic47—21no—
275C2×Dic47—21no—
276C2×Dic47#11712yes—
277C2×Dic47C22×C812yes—
278C2×Dic47C22×C812yes—
279C2×Dic47C2×M1612yes—
280D188—28no—
281C4×D47—22no—
282C4×D47—22no—
283C4×D47—22no—
284C4×D47—22no—
285C4×D47—44no—
286C4×D47—44no—
287C4×D47—44no—
288C4×D47—44no—
289C4×D47—41no—
290C4×D47—41no—
291C4×D47—41no—
292C4×D47—41no—
293C8×C47—41no—
294C8×C47—41no—
295C8×C47—41no—
296C8×C47—41no—
297C47⋊C8—41no—
298C47⋊C8—41no—
299C47⋊C8—41no—
300C47⋊C8—41no—
301#21996—471nomaximal, Sylow
302C22×C47C2×#11711yescharacteristic
303C22×C47#51811yescharacteristic
304C22×C47#52011yescharacteristic
305C22×C47C23×C811yescharacteristic
306C22×C47C22×M1611yescharacteristic
307C22×C47#56811yescharacteristic
308C22×C47#56811yescharacteristic
309C2×D47—22no—
310C2×D47—22no—
311C2×D47—22no—
312C2×D47—22no—
313C2×D47—22no—
314C2×D47—22no—
315C2×D47—22no—
316C2×D47—22no—
317C2×D47—22no—
318C2×D47—41no—
319C2×D47—41no—
320C2×D47—41no—
321C2×D47—41no—
322C2×D47#43114yes—
323C4×C47—22no—
324C4×C47—22no—
325C4×C47—22no—
326C4×C47—22no—
327C4×C47—41no—
328C4×C47—41no—
329C4×C47#53811yescharacteristic
330C4×C47#53811yescharacteristic
331C4×C47#53911yescharacteristic
332C4×C47#53911yescharacteristic
333Dic47—22no—
334Dic47—22no—
335Dic47—22no—
336Dic47—22no—
337Dic47—41no—
338Dic47—41no—
339C42×D4—471no—
340#1923—471no—
341#1923—471no—
342#1916—471no—
343#1916D4711yescharacteristic, complemented
344#1869—471no—
345#1869—471no—
346#1850—471no—
347#1850—471no—
348#1839—471no—
349#1831—471no—
350#1817—471no—
351#1797—471no—
352C4×C22⋊C8—471no—
353C2×#336—471no—
354C2×C47#231811yescharacteristic
355C2×C47C2×#43111yescharacteristic
356C2×C47#292311yescharacteristic
357C2×C47#297211yescharacteristic
358C2×C47#297311yescharacteristic
359C2×C47#298811yescharacteristic
360C2×C47#298911yescharacteristic
361D47—24no—
362D47—42no—
363C23×C8—471no—
364C23×C8—471no—
365C2×C4×D4—471no—
366C2×C4×D4—471no—
367C2×C4×D4—471no—
368C22×C42—471no—
369C22×C42—471no—
370C2×C4⋊C8—471no—
371C2×C4⋊C8—471no—
372C2×C4⋊C8—471no—
373C2×C4⋊C8C2×D4711yescharacteristic
374C2×C22⋊C8—471no—
375C2×C22⋊C8—471no—
376C2×C22⋊C8—471no—
377C2×C22⋊C8—471no—
378C2×C22⋊C8—471no—
379C2×C22⋊C8—471no—
380C2×C4×C8—471no—
381C2×C4×C8C2×D4711yescharacteristic
382C4×C4⋊C4—471no—
383C4×C4⋊C4—471no—
384C4×C4⋊C4C2×D4711yescharacteristic
385C4×C22⋊C4—471no—
386C4×C22⋊C4—471no—
387C4×C22⋊C4—471no—
388C4×C22⋊C4—471no—
389C4×C22⋊C4—471no—
390C4×C22⋊C4—471no—
391C43—471no—
392#336—471no—
393#336—471no—
394#336—471no—
395#336—471no—
396#336—471no—
397#336—471no—
398#336—471no—
399#336—471no—
400#336—471no—
401#336—471no—
402#336C2×D4711yescharacteristic
403#336C2×D4711yescharacteristic
404#336C2×D4711yescharacteristic
405#336C2×D4711yescharacteristic
406C47#2199611yescharacteristic, complemented, Sylow
407C22×D4—471no—
408C23×C4—471no—
409C23×C4—471no—
410C23×C4—471no—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—471no—
414C22×C8—471no—
415C22×C8—471no—
416C22×C8—471no—
417C22×C8—471no—
418C22×C8—942no—
419C22×C8—942no—
420C22×C8—1881no—
421C22×C8—1881no—
422C22×C8—1881no—
423C22×C8—1881no—
424C22×C8C22×D4711yescharacteristic
425C22×C8C22×D4711yescharacteristic
426C22×C8C22×D4711yescharacteristic
427C22×C8C22×D4711yescharacteristic
428C4×D4—478no—
429C4×D4—942no—
430C4×D4—942no—
431C4×D4—944no—
432C2×C4⋊C4—471no—
433C2×C4⋊C4C4×D4711yescharacteristic
434C2×C4⋊C4C4×D4711yescharacteristic
435C2×C22⋊C4—471no—
436C2×C22⋊C4—471no—
437C2×C22⋊C4—471no—
438C2×C22⋊C4—471no—
439C2×C22⋊C4—471no—
440C2×C22⋊C4—471no—
441C2×C42—471no—
442C2×C42—471no—
443C2×C42—471no—
444C2×C42—471no—
445C2×C42—471no—
446C2×C42—471no—
447C2×C42—471no—
448C2×C42—471no—
449C2×C42—471no—
450C2×C42—471no—
451C2×C42—1881no—
452C2×C42—1881no—
453C2×C42—1881no—
454C2×C42—1881no—
455C2×C42C22×D4711yescharacteristic
456C2×C42C22×D4711yescharacteristic
457C2×C42C22×D4711yescharacteristic
458C4⋊C8—41no—
459C4⋊C8—1881no—
460C4⋊C8—1881no—
461C4⋊C8—1881no—
462C22⋊C8—942no—
463C22⋊C8—942no—
464C22⋊C8—1881no—
465C22⋊C8—1881no—
466C22⋊C8—1881no—
467C22⋊C8—1881no—
468C4×C8—41no—
469C4×C8—1881no—
470#95—471no—
471#95—471no—
472#95—471no—
473#95—471no—
474#95C4×D4711yescharacteristic
475#95C4×D4711yescharacteristic
476C24—471no—
477C24—471no—
478C2×D4—474no—
479C2×D4—942no—
480C2×D4—942no—
481C22×C4—471no—
482C22×C4—471no—
483C22×C4—471no—
484C22×C4—471no—
485C22×C4—472no—
486C22×C4—472no—
487C22×C4—474no—
488C22×C4—474no—
489C22×C4—474no—
490C22×C4—471no—
491C22×C4—471no—
492C22×C4—942no—
493C22×C4—941no—
494C22×C4—941no—
495C22×C4—941no—
496C22×C4—941no—
497C22×C4—941no—
498C22×C4—941no—
499C22×C4—941no—
500C22×C4—941no—
501C22×C4—941no—
502C22×C4—941no—
503C22×C4—1881no—
504C22×C4—1881no—
505C22×C4—1881no—
506C22×C4—1881no—
507C22×C4—1881no—
508C22×C4—1881no—
509C22×C4—1881no—
510C22×C4—1881no—
511C22×C4C2×C4×D4711yescharacteristic
512C22×C4C2×C4×D4711yescharacteristic
513C22×C4C2×C4×D4711yescharacteristic
514C22×C4C2×C4×D4711yescharacteristic
515C22×C4C2×C4×D4711yescharacteristic
516C22×C4C2×C4×D4711yescharacteristic
517C22×C4C23×D4711yescharacteristic
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—941no—
531C2×C8—941no—
532C2×C8—941no—
533C2×C8—941no—
534C2×C8—941no—
535C2×C8—941no—
536C2×C8—941no—
537C2×C8—941no—
538C2×C8—941no—
539C2×C8—941no—
540C2×C8—941no—
541C2×C8—941no—
542C2×C8—1884no—
543C2×C8—1884no—
544C4⋊C4—22no—
545C4⋊C4—942no—
546C4⋊C4C8×D4714yescomplemented
547C22⋊C4—474no—
548C22⋊C4—474no—
549C22⋊C4—942no—
550C22⋊C4—942no—
551C22⋊C4—942no—
552C22⋊C4—942no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—474no—
560C42—942no—
561C42—941no—
562C42—941no—
563C42—941no—
564C42—941no—
565C42—1881no—
566C42—1881no—
567C42—1881no—
568C42—1881no—
569C42—1881no—
570C42—1881no—
571C23—472no—
572C23—472no—
573C23—472no—
574C23—472no—
575C23—941no—
576C23—941no—
577C23—941no—
578C23—941no—
579C23—941no—
580C23—941no—
581C23—941no—
582C23—941no—
583C23—941no—
584C23—941no—
585C23C22×C4×D4711yescharacteristic
586D4—948no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—472no—
602C2×C4—472no—
603C2×C4—472no—
604C2×C4—472no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—941no—
610C2×C4—941no—
611C2×C4—941no—
612C2×C4—941no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—941no—
618C2×C4—941no—
619C2×C4—941no—
620C2×C4—941no—
621C2×C4—941no—
622C2×C4—941no—
623C2×C4—1884no—
624C2×C4—1884no—
625C2×C4—1884no—
626C2×C4—1884no—
627C2×C4—1881no—
628C2×C4—1881no—
629C2×C4—1881no—
630C2×C4—1881no—
631C2×C4C2×C8×D4712yes—
632C2×C4C2×C8×D4712yes—
633C2×C4C2×C8×D4712yes—
634C2×C4M16×D4712yes—
635C2×C4#41×D4711yescharacteristic
636C2×C4#41×D4711yescharacteristic
637C2×C4#1309406911yescharacteristic
638C2×C4#1309407011yescharacteristic
639C2×C4#1309407011yescharacteristic
640C2×C4#1309407211yescharacteristic
641C8—41no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—1881no—
646C8—1881no—
647C8—1881no—
648C8—1881no—
649C22—474no—
650C22—942no—
651C22—942no—
652C22—942no—
653C22—942no—
654C22—942no—
655C22—942no—
656C22—942no—
657C22—942no—
658C22—942no—
659C22—1881no—
660C22—1881no—
661C22—1881no—
662C22—1881no—
663C22#117×D4711yescharacteristic
664C22#1568959511yescharacteristic
665C22#1568960511yescharacteristic
666C22C22×C8×D4711yescharacteristic
667C22C2×M16×D4711yescharacteristic
668C22#1568988811yescharacteristic
669C22#1568988811yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—22no—
674C4—41no—
675C4—41no—
676C4—942no—
677C4—942no—
678C4—942no—
679C4—942no—
680C4—1881no—
681C4—1881no—
682C4#1568970911yescharacteristic
683C4#1568971211yescharacteristic
684C4#1568971911yescharacteristic
685C4#1568972111yescharacteristic
686C2—944no—
687C2—1882no—
688C2#2024602011yescharacteristic
689C2#431×D4711yescharacteristic
690C2#2025203611yescharacteristic
691C2#2025240911yescharacteristic
692C2#2025241311yescharacteristic
693C2#2025249811yescharacteristic
694C2#2025250411yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D47
commutatorC22×C47C23×C8
FittingC47×#1916C2
socleC23×C47C23×C4
prime radicalC22×D188C2×C4
cosocleC22×C4×C47C24
hypercenter#1916D47
hypocenterC47#21996
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1916

Complements

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

NH ≅ G/Ntype
2. #20243994C2semidirect
3. #20243992C2semidirect
4. #20243947C2semidirect
7. #20243567C2semidirect
8. #20243564C2semidirect
9. #20243530C2semidirect
10. #20243503C2semidirect
11. #20243455C2semidirect
12. #20243365C2semidirect
13. C4×(C2×D47)⋊C8C2semidirect
14. #336×D47C2semidirect
15. C47×#1916C2semidirect
79. #13093986C8semidirect
166. C2×C4×D47C2×C8semidirect
183. C4⋊C4×C47C2×C8semidirect
195. (C2×D47)⋊C4C2×C8semidirect
208. C4×Dic47C2×C8semidirect
343. #1916D47semidirect
406. C47#21996semidirect
546. C4⋊C4C8×D47semidirect

Maximal subgroups

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

subgroupindex
C4×#130939862
#202439942
#202439922
#202439472
#202436792
#202435672
#202435642
#202435302
#202435032
#202434552
#202433652
C4×(C2×D47)⋊C82
#336×D472
C47×#19162
#2199647