Finite Group Databasebeta

← #28608341

Subgroups — #28608341

Order 15104.

808 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837462C211yesmaximal, characteristic, complemented
2#21426555C211yesmaximal, characteristic
3#21424892C211yesmaximal, characteristic
4#21424892C211yesmaximal, characteristic
5#21424709C211yesmaximal, characteristic, complemented
6#21424706C211yesmaximal, characteristic, complemented
7#21424702C211yesmaximal, characteristic, complemented
8#21424699C211yesmaximal, characteristic, complemented
9#21424247C211yesmaximal, characteristic, complemented
10#21424080C211yesmaximal, characteristic, complemented
11#21424077C211yesmaximal, characteristic, complemented
12#21423972C211yesmaximal, characteristic, complemented
13#21423970C211yesmaximal, characteristic, complemented
14#21423951C211yesmaximal, characteristic, complemented
15C2×C59×#433C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D59C2211yescharacteristic
17C2×#14273684C2211yescharacteristic
18#16837462—24no—
19C2×C4⋊(C59⋊C8)C2211yescharacteristic
20C2×C4⋊(C59⋊C8)C2211yescharacteristic
21C2×Dic59⋊C8C2211yescharacteristic
22C2×Dic59⋊C8C2211yescharacteristic
23C2×Dic59⋊C8C2211yescharacteristic
24C2×Dic59⋊C8C2211yescharacteristic
25C2×C22⋊(C59⋊C8)C2211yescharacteristic
26C2×C22⋊(C59⋊C8)C2211yescharacteristic
27C2×(C2×D59)⋊C8C2211yescharacteristic
28C2×(C2×D59)⋊C8C2211yescharacteristic
29C2×(C2×D59)⋊C8C2211yescharacteristic
30C2×(C2×D59)⋊C8C2211yescharacteristic
31C2×#14273637C2211yescharacteristic
32C2×#14273637C2211yescharacteristic
33C2×#14273637C2211yescharacteristic
34C2×C8×Dic59C2211yescharacteristic
35#16837302C411yescharacteristic
36#16837302C411yescharacteristic
37#16837297C411yescharacteristic
38#16837297C411yescharacteristic
39#16837296C411yescharacteristic
40#16837296C411yescharacteristic
41#16837292C411yescharacteristic
42#16837292C411yescharacteristic
43C4×Dic59⋊C4C2211yescharacteristic
44C4×(C2×D59)⋊C4C2211yescharacteristic
45C4×C22⋊Dic59C2211yescharacteristic
46C42×Dic59C2211yescharacteristic
47#16837157C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837156C2211yescharacteristic
50#16837156C2211yescharacteristic
51#16837156C2211yescharacteristic
52#16837156C2211yescharacteristic
53C2×#117×C59C2211yescharacteristic
54C59×#433—24no—
55C2×C4⋊C8×C59C2211yescharacteristic
56C2×C4⋊C8×C59C2211yescharacteristic
57C2×C22⋊C8×C59C2211yescharacteristic
58C2×C22⋊C8×C59C2211yescharacteristic
59C2×#97×C59C2211yescharacteristic
60C2×C4×C8×C59C2211yescharacteristic
61C22×C22⋊D59C2×C411yescharacteristic
62C22×C4×D59C2311yescharacteristic
63C22×C59⋊C8C2311yescharacteristic
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66C22×C59⋊C8C2311yescharacteristic
67C4×C22⋊D59—22no—
68C4×C22⋊D59—22no—
69#14273684—22no—
70#14273684—22no—
71C2×Dic59⋊C4C2×C411yescharacteristic
72C2×Dic59⋊C4C2×C411yescharacteristic
73C2×Dic59⋊C4C2×C411yescharacteristic
74C2×Dic59⋊C4C2×C411yescharacteristic
75C2×Dic59⋊C4C2×C411yescharacteristic
76C2×C22⋊Dic59C2×C411yescharacteristic
77C2×C22⋊Dic59C2×C411yescharacteristic
78C2×C22⋊Dic59C2×C411yescharacteristic
79C2×(C2×D59)⋊C4C2×C411yescharacteristic
80C2×(C2×D59)⋊C4C2×C411yescharacteristic
81C2×(C2×D59)⋊C4C2×C411yescharacteristic
82C2×(C2×D59)⋊C4C2×C411yescharacteristic
83C2×(C2×D59)⋊C4C2×C411yescharacteristic
84C2×C4×Dic59C2×C411yescharacteristic
85C2×C4×Dic59C2×C411yescharacteristic
86C2×C4×Dic59C2×C411yescharacteristic
87C2×C4×Dic59C2×C411yescharacteristic
88C2×C4×Dic59C2311yescharacteristic
89C2×C4×Dic59C2311yescharacteristic
90C2×C4×Dic59C2311yescharacteristic
91C4⋊(C59⋊C8)—22no—
92C4⋊(C59⋊C8)—22no—
93Dic59⋊C8—22no—
94Dic59⋊C8—22no—
95Dic59⋊C8—41no—
96Dic59⋊C8—41no—
97C22⋊(C59⋊C8)—41no—
98C22⋊(C59⋊C8)—41no—
99(C2×D59)⋊C8—22no—
100(C2×D59)⋊C8—22no—
101(C2×D59)⋊C8—41no—
102(C2×D59)⋊C8—41no—
103#14273637—22no—
104#14273637—22no—
105#14273637—22no—
106C8×Dic59—22no—
107C59⋊#95C2×C411yescharacteristic
108C59⋊#95C2×C411yescharacteristic
109C59⋊#95C2×C411yescharacteristic
110C59⋊#95C2×C411yescharacteristic
111C59⋊#95C2×C411yescharacteristic
112C59⋊#95C2×C411yescharacteristic
113C23×C4×C59C2311yescharacteristic
114C22×C8×C59C2311yescharacteristic
115C22×C8×C59C2311yescharacteristic
116C22×C8×C59C2311yescharacteristic
117C22×C8×C59C2311yescharacteristic
118#117×C59—22no—
119#117×C59—22no—
120C2×C4⋊C4×C59C2×C411yescharacteristic
121C2×C4⋊C4×C59C2×C411yescharacteristic
122C2×C22⋊C4×C59C2×C411yescharacteristic
123C2×C22⋊C4×C59C2×C411yescharacteristic
124C2×C42×C59C2311yescharacteristic
125C2×C42×C59C2311yescharacteristic
126C4⋊C8×C59—22no—
127C4⋊C8×C59D414yescomplemented
128C22⋊C8×C59—22no—
129C22⋊C8×C59—22no—
130#97×C59—22no—
131C4×C8×C59—22no—
132C24×C59C22×C411yescharacteristic
133C23×D59C22×C411yescharacteristic
134C22×C4×C59—21no—
135C22×C4×C59—21no—
136C22×C4×C59—21no—
137C22×C4×C59—21no—
138C22×C4×C59—21no—
139C22×C4×C59—21no—
140C22×C4×C59C22×C411yescharacteristic
141C22×C4×C59C22×C411yescharacteristic
142C22×C4×C59C22×C411yescharacteristic
143C22×C4×C59C22×C411yescharacteristic
144C22×C4×C59C22×C411yescharacteristic
145C22×C4×C59C2411yescharacteristic
146C2×C22⋊D59—22no—
147C2×C22⋊D59—41no—
148C2×C22⋊D59—41no—
149C22×Dic59C22×C411yescharacteristic
150C22×Dic59C22×C411yescharacteristic
151C22×Dic59C22×C411yescharacteristic
152C22×Dic59C22×C411yescharacteristic
153C22×Dic59C22×C411yescharacteristic
154C22×Dic59C22×C411yescharacteristic
155C22×Dic59C22×C411yescharacteristic
156C2×C4×D59—21no—
157C2×C4×D59—21no—
158C2×C4×D59—21no—
159C2×C4×D59—21no—
160C2×C4×D59—21no—
161C2×C4×D59—21no—
162C2×C8×C59—21no—
163C2×C8×C59—21no—
164C2×C8×C59—21no—
165C2×C8×C59—21no—
166C2×C8×C59—21no—
167C2×C8×C59—21no—
168C2×C8×C59—21no—
169C2×C8×C59—21no—
170C2×C8×C59—21no—
171C2×C8×C59—21no—
172C2×C8×C59C2×D412yes—
173C2×C8×C59C2×D412yes—
174C4⋊C4×C59—22no—
175C4⋊C4×C59—22no—
176C22⋊C4×C59—22no—
177C22⋊C4×C59—22no—
178C42×C59—21no—
179C42×C59—21no—
180C42×C59C2×D412yes—
181C42×C59#4112yes—
182C22⋊Dic59—22no—
183C22⋊Dic59—22no—
184C22⋊Dic59—41no—
185(C2×D59)⋊C4—22no—
186(C2×D59)⋊C4—22no—
187(C2×D59)⋊C4—22no—
188(C2×D59)⋊C4—22no—
189(C2×D59)⋊C4—41no—
190Dic59⋊C4—22no—
191Dic59⋊C4—22no—
192Dic59⋊C4—22no—
193Dic59⋊C4—41no—
194Dic59⋊C4—41no—
195C4×Dic59—21no—
196C4×Dic59—21no—
197C4×Dic59—21no—
198C4×Dic59—21no—
199C4×Dic59—22no—
200C4×Dic59—41no—
201C4×Dic59—41no—
202C4×Dic59—41no—
203C4×Dic59#4112yes—
204C4×Dic59#4112yes—
205C2×C59⋊C8—21no—
206C2×C59⋊C8—21no—
207C2×C59⋊C8—21no—
208C2×C59⋊C8—21no—
209C2×C59⋊C8—21no—
210C2×C59⋊C8—21no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C23×C59—21no—
218C23×C59—21no—
219C23×C59—21no—
220C23×C59—21no—
221C23×C59—21no—
222C23×C59—21no—
223C23×C59—21no—
224C23×C59C23×C411yescharacteristic
225C22×D59—21no—
226C22×D59—21no—
227C22×D59—21no—
228C22×D59—21no—
229C22×D59—21no—
230C22×D59—21no—
231C22×D59—21no—
232C2×C4×C59—21no—
233C2×C4×C59—21no—
234C2×C4×C59—21no—
235C2×C4×C59—21no—
236C2×C4×C59—21no—
237C2×C4×C59—21no—
238C2×C4×C59—21no—
239C2×C4×C59—21no—
240C2×C4×C59—21no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—41no—
246C2×C4×C59—41no—
247C2×C4×C59—41no—
248C2×C4×C59—41no—
249C2×C4×C59C4×D412yes—
250C2×C4×C59C4×D412yes—
251C2×C4×C59C22×D411yescharacteristic
252C2×C4×C59C2×#4111yescharacteristic
253C2×C4×C59C2×#4111yescharacteristic
254C2×C4×C59C2×#4111yescharacteristic
255C2×C4×C59H(5,𝔽2)11yescharacteristic
256C2×C4×C592−1+411yescharacteristic
257C22⋊D59—44no—
258C2×Dic59—21no—
259C2×Dic59—21no—
260C2×Dic59—21no—
261C2×Dic59—21no—
262C2×Dic59—21no—
263C2×Dic59—21no—
264C2×Dic59—21no—
265C2×Dic59—21no—
266C2×Dic59—21no—
267C2×Dic59—21no—
268C2×Dic59—21no—
269C2×Dic59—21no—
270C2×Dic59—21no—
271C2×Dic59—21no—
272C2×Dic59—21no—
273C2×Dic59—21no—
274C2×Dic59—21no—
275C2×Dic59—21no—
276C2×Dic59#11712yes—
277C2×Dic59#11712yes—
278C2×Dic59#13112yes—
279C4×D59—41no—
280C4×D59—41no—
281C4×D59—41no—
282C4×D59—41no—
283C8×C59—22no—
284C8×C59—22no—
285C8×C59—41no—
286C8×C59—41no—
287C59⋊C8—41no—
288C59⋊C8—41no—
289C59⋊C8—41no—
290C59⋊C8—41no—
291#22798—591nomaximal, Sylow
292C22×C59—41no—
293C22×C59—41no—
294C22×C59—41no—
295C22×C59—41no—
296C22×C59—41no—
297C22×C59—41no—
298C22×C59—41no—
299C22×C59C2×#11711yescharacteristic
300C22×C59C2×C4×D411yescharacteristic
301C22×C59#52011yescharacteristic
302C22×C59C2×#13111yescharacteristic
303C22×C59#56811yescharacteristic
304C22×C59#56811yescharacteristic
305C22×C59#56811yescharacteristic
306C2×D59—41no—
307C2×D59—41no—
308C2×D59—41no—
309C2×D59—41no—
310C2×D59—41no—
311C2×D59—41no—
312C2×D59—41no—
313C4×C59—22no—
314C4×C59—22no—
315C4×C59—41no—
316C4×C59—41no—
317C4×C59—41no—
318C4×C59#54711yescharacteristic
319C4×C59#55011yescharacteristic
320C4×C59#55511yescharacteristic
321C4×C59#55611yescharacteristic
322Dic59—22no—
323Dic59—22no—
324Dic59—22no—
325Dic59—41no—
326Dic59—41no—
327Dic59—41no—
328Dic59—41no—
329C2×#433—591no—
330C2×#433D5911yescharacteristic, complemented
331#2293—591no—
332#1955—591no—
333#1955—591no—
334#1924—591no—
335#1924—591no—
336#1923—591no—
337#1923—591no—
338#1842—591no—
339#1798—591no—
340#1798—591no—
341#1771—591no—
342#1771—591no—
343#1767—591no—
344C2×C59—81no—
345C2×C59#235411yescharacteristic
346C2×C59#292111yescharacteristic
347C2×C59#292511yescharacteristic
348C2×C59#293211yescharacteristic
349C2×C59#293511yescharacteristic
350C2×C59#299211yescharacteristic
351C2×C59#299511yescharacteristic
352D59—81no—
353C2×C4×D4—591no—
354C2×#117—591no—
355C2×#117C2×D5911yescharacteristic
356#433—24no—
357#433—1184no—
358C2×C4⋊C8—591no—
359C2×C4⋊C8—591no—
360C2×C4⋊C8—591no—
361C2×C4⋊C8—591no—
362C2×C4⋊C8—591no—
363C2×C4⋊C8—591no—
364C2×C4⋊C8C2×D5911yescharacteristic
365C2×C4⋊C8C2×D5911yescharacteristic
366C2×C22⋊C8—591no—
367C2×C22⋊C8—591no—
368C2×C22⋊C8—591no—
369C2×C22⋊C8—591no—
370C2×C22⋊C8—591no—
371C2×C22⋊C8—591no—
372C2×C22⋊C8C2×D5911yescharacteristic
373C2×C22⋊C8C2×D5911yescharacteristic
374C2×#97—591no—
375C2×#97—591no—
376C2×#97—591no—
377C2×#97C2×D5911yescharacteristic
378C2×C4×C8—591no—
379C2×C4×C8C2×D5911yescharacteristic
380#390—591no—
381#390—591no—
382#389—591no—
383#389—591no—
384#388—591no—
385#388—591no—
386#388—591no—
387#388—591no—
388C4×C4⋊C4—591no—
389C4×C22⋊C4—591no—
390C4×C22⋊C4—591no—
391C43—591no—
392#336—591no—
393#336—591no—
394#336—591no—
395#336—591no—
396#336—591no—
397#336—591no—
398C59#2279811yescharacteristic, complemented, Sylow
399C22×D4—591no—
400C23×C4—591no—
401C23×C4C22×D5911yescharacteristic
402C22×C8—591no—
403C22×C8—591no—
404C22×C8—591no—
405C22×C8—591no—
406C22×C8C22×D5911yescharacteristic
407C22×C8C22×D5911yescharacteristic
408C22×C8C22×D5911yescharacteristic
409C22×C8C22×D5911yescharacteristic
410C4×D4—1182no—
411C4×D4—1182no—
412#117—22no—
413#117—22no—
414#117—1182no—
415#117—1182no—
416C2×C4⋊C4—591no—
417C2×C4⋊C4—591no—
418C2×C4⋊C4—591no—
419C2×C4⋊C4—591no—
420C2×C4⋊C4—591no—
421C2×C4⋊C4C4×D5911yescharacteristic
422C2×C4⋊C4C4×D5911yescharacteristic
423C2×C22⋊C4—591no—
424C2×C22⋊C4—591no—
425C2×C22⋊C4—591no—
426C2×C22⋊C4—591no—
427C2×C22⋊C4—591no—
428C2×C22⋊C4—591no—
429C2×C22⋊C4—591no—
430C2×C22⋊C4—591no—
431C2×C22⋊C4C4×D5911yescharacteristic
432C2×C22⋊C4C4×D5911yescharacteristic
433C2×C42—591no—
434C2×C42—591no—
435C2×C42—591no—
436C2×C42—591no—
437C2×C42—591no—
438C2×C42—591no—
439C2×C42—591no—
440C2×C42C22×D5911yescharacteristic
441C2×C42C22×D5911yescharacteristic
442C4⋊C8—22no—
443C4⋊C8—1182no—
444C4⋊C8—1182no—
445C4⋊C8—1182no—
446C4⋊C8—1182no—
447C4⋊C8—2361no—
448C4⋊C8—2361no—
449C4⋊C8C22⋊D5914yescomplemented
450C22⋊C8—22no—
451C22⋊C8—22no—
452C22⋊C8—1182no—
453C22⋊C8—1182no—
454C22⋊C8—2361no—
455C22⋊C8—2361no—
456C22⋊C8—2361no—
457C22⋊C8—2361no—
458#97—22no—
459#97—1182no—
460#97—1182no—
461#97—1182no—
462C4×C8—22no—
463C4×C8—1182no—
464#95—591no—
465#95—591no—
466#95—591no—
467#95—591no—
468#95—591no—
469#95—591no—
470C24—591no—
471C24C2×C4×D5911yescharacteristic
472C2×D4—1182no—
473C2×D4—2361no—
474C2×D4—2361no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—591no—
482C22×C4—591no—
483C22×C4—591no—
484C22×C4—591no—
485C22×C4—591no—
486C22×C4—591no—
487C22×C4—591no—
488C22×C4—1181no—
489C22×C4—1181no—
490C22×C4—1181no—
491C22×C4—1181no—
492C22×C4—1181no—
493C22×C4—1181no—
494C22×C4C2×C4×D5911yescharacteristic
495C22×C4C2×C4×D5911yescharacteristic
496C22×C4C2×C4×D5911yescharacteristic
497C22×C4C2×C4×D5911yescharacteristic
498C22×C4C2×C4×D5911yescharacteristic
499C22×C4C23×D5911yescharacteristic
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—1181no—
511C2×C8—1181no—
512C2×C8—1181no—
513C2×C8—1181no—
514C2×C8—1181no—
515C2×C8—1181no—
516C2×C8—1181no—
517C2×C8—1181no—
518C2×C8—1181no—
519C2×C8—1181no—
520C2×C8—1181no—
521C2×C8—1181no—
522C2×C8C2×C22⋊D5912yes—
523C2×C8C2×C22⋊D5912yes—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—1182no—
527C4⋊C4—1182no—
528C4⋊C4—1182no—
529C4⋊C4—2361no—
530C4⋊C4—2361no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—1182no—
534C22⋊C4—1182no—
535C22⋊C4—1182no—
536C22⋊C4—1182no—
537C22⋊C4—1182no—
538C22⋊C4—1182no—
539C22⋊C4—2361no—
540C22⋊C4—2361no—
541C42—21no—
542C42—21no—
543C42—592no—
544C42—592no—
545C42—1182no—
546C42—1181no—
547C42—1181no—
548C42—1181no—
549C42—1181no—
550C42—2361no—
551C42—2361no—
552C42—2361no—
553C42#1174568512yes—
554C42C2×C22⋊D5912yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—1181no—
563C23—1181no—
564C23—1181no—
565C23—1181no—
566C23—1181no—
567C23—1181no—
568C23—1181no—
569C23C22×C4×D5911yescharacteristic
570D4—2364no—
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—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—592no—
589C2×C4—592no—
590C2×C4—592no—
591C2×C4—1181no—
592C2×C4—1181no—
593C2×C4—1181no—
594C2×C4—1181no—
595C2×C4—1181no—
596C2×C4—1181no—
597C2×C4—1181no—
598C2×C4—1181no—
599C2×C4—1181no—
600C2×C4—1181no—
601C2×C4—1181no—
602C2×C4—1181no—
603C2×C4—1181no—
604C2×C4—1181no—
605C2×C4—1181no—
606C2×C4—1181no—
607C2×C4—1181no—
608C2×C4—1181no—
609C2×C4—2361no—
610C2×C4—2361no—
611C2×C4—2361no—
612C2×C4—2361no—
613C2×C4C4×C22⋊D5912yes—
614C2×C4C4×C22⋊D5912yes—
615C2×C4C22×C22⋊D5911yescharacteristic
616C2×C4#41×D5911yescharacteristic
617C2×C4#41×D5911yescharacteristic
618C2×C4C2×#1174568511yescharacteristic
619C2×C4#1427377311yescharacteristic
620C2×C4#1427377411yescharacteristic
621C8—22no—
622C8—22no—
623C8—41no—
624C8—41no—
625C8—2361no—
626C8—2361no—
627C8—2361no—
628C8—2361no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—2361no—
637C22—2361no—
638C22—2361no—
639C22—2361no—
640C22—2361no—
641C22—2361no—
642C22—2361no—
643C22#117×D5911yescharacteristic
644C22C2×C4×C22⋊D5911yescharacteristic
645C22#1683788211yescharacteristic
646C22#131×D5911yescharacteristic
647C22#1683816711yescharacteristic
648C22#1683816711yescharacteristic
649C22#1683816711yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—1182no—
656C4—1182no—
657C4—1182no—
658C4—2361no—
659C4—2361no—
660C4—2361no—
661C4—2361no—
662C4#1683805111yescharacteristic
663C4#1683807111yescharacteristic
664C4#1683811511yescharacteristic
665C4#1683812011yescharacteristic
666C2—81no—
667C2—4721no—
668C2#2142704611yescharacteristic
669C2#2143273011yescharacteristic
670C2#2143275911yescharacteristic
671C2#2143281211yescharacteristic
672C2#2143283811yescharacteristic
673C2#2143323011yescharacteristic
674C2#2143326111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D59
commutator, socleC23×C59C23×C4
FittingC2×C59×#433C2
prime radicalC22×C22⋊D59C2×C4
cosocleC22×C4×C59C24
hypercenterC2×#433D59
hypocenterC59#22798
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#16837462C2semidirect
5. #21424709C2semidirect
6. #21424706C2semidirect
7. #21424702C2semidirect
8. #21424699C2semidirect
9. #21424247C2semidirect
10. #21424080C2semidirect
11. #21424077C2semidirect
12. #21423972C2semidirect
13. #21423970C2semidirect
14. #21423951C2semidirect
15. C2×C59×#433C2semidirect
127. C4⋊C8×C59D4semidirect
330. C2×#433D59semidirect
398. C59#22798semidirect
449. C4⋊C8C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168374622
#214265552
#214248922
#214247092
#214247062
#214247022
#214246992
#214242472
#214240802
#214240772
#214239722
#214239702
#214239512
C2×C59×#4332
#2279859