Finite Group Databasebeta

← #28588655

Subgroups — #28588655

Order 15104.

1294 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×C4×#11745685C211yesmaximal, characteristic
2#21432729C211yesmaximal, characteristic, complemented
3#21424177C212yesmaximal, complemented
4#21424089C212yesmaximal, complemented
5#21424085C212yesmaximal, complemented
6#21424022C212yesmaximal
7C4×#14273645C212yesmaximal, complemented
8C4×#14273643C212yesmaximal, complemented
9C59×#2920C211yesmaximal, characteristic, complemented
10C22×#11745685C2211yescharacteristic
11C4×#11745685—21no—
12C4×#11745685—21no—
13C4×#11745685—21no—
14C4×#11745685—21no—
15C4×#11745685—21no—
16C4×#11745685—21no—
17C4×#11745685—21no—
18C4×#11745685—21no—
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×Dic118C2211yescharacteristic
21C2×C4×D236C2211yescharacteristic
22C2×C4×D236C2211yescharacteristic
23C2×C4×C22⋊D59C412yes—
24C2×C4×C22⋊D59C412yes—
25C2×#14273686C2211yescharacteristic
26C2×#14273684C412yes—
27C2×C42×D59C412yes—
28#16837459—21no—
29#16837459—21no—
30#16837455—21no—
31#16837455—21no—
32#16837426C2212yes—
33C2×#14273645C2214yes—
34C2×#14273643C2214yes—
35#16837366C2212yes—
36C4×#11745664C2212yes—
37#16837170C2214yes—
38#16837170C2214yes—
39C22×C42×C59C2211yescharacteristic
40C59×#432—21no—
41C59×#432—21no—
42C59×#431—21no—
43C59×#431—21no—
44C59×#423C2212yes—
45C59×#407C2212yes—
46C4×M16×C59C2212yes—
47C2×#11745685—21no—
48C2×#11745685—21no—
49C2×#11745685—21no—
50C2×#11745685—21no—
51C2×#11745685—24no—
52C2×#11745685—24no—
53C22×Dic118C2311yescharacteristic
54C22×D236C2311yescharacteristic
55C22×C22⋊D59C2×C412yes—
56C22×C4×D59C2×C412yes—
57C22×C4×D59C2×C412yes—
58C22×C4×D59C2×C412yes—
59C2×#11745664C2314yes—
60C4×Dic118—21no—
61C4×Dic118—21no—
62C4×Dic118—21no—
63C4×Dic118—21no—
64C4×Dic118—21no—
65C4×Dic118—21no—
66C4×Dic118—21no—
67C4×Dic118—21no—
68C4×D236—21no—
69C4×D236—21no—
70C4×D236—21no—
71C4×D236—21no—
72C4×D236—21no—
73C4×D236—21no—
74C4×D236—21no—
75C4×D236—21no—
76C4×C22⋊D59—22no—
77C4×C22⋊D59—22no—
78C4×C22⋊D59—22no—
79C4×C22⋊D59—22no—
80C4×C22⋊D59—22no—
81C4×C22⋊D59—22no—
82C4×C22⋊D59—22no—
83C4×C22⋊D59—22no—
84#14273686—21no—
85#14273686—21no—
86#14273686—21no—
87#14273686—21no—
88#14273684—22no—
89#14273684—22no—
90#14273684—22no—
91#14273684—22no—
92C2×C4⋊Dic59C2311yescharacteristic
93C2×C4⋊Dic59C2311yescharacteristic
94C2×Dic59⋊C4C2×C412yes—
95C2×Dic59⋊C4C2×C412yes—
96C2×C22⋊Dic59C2×C412yes—
97C2×(C2×D59)⋊C4C2×C412yes—
98C2×(C2×D59)⋊C4C2×C412yes—
99C2×C4×Dic59C2×C412yes—
100C2×C4×Dic59C2×C412yes—
101C2×C4×Dic59C2×C412yes—
102C42×D59—22no—
103C42×D59—22no—
104C42×D59—22no—
105C42×D59—22no—
106C4⋊(C59⋊C8)—22no—
107C4⋊(C59⋊C8)—22no—
108#14273645—28no—
109#14273643—28no—
110C22⋊(C59⋊C8)—22no—
111C22⋊(C59⋊C8)—22no—
112#14273638—22no—
113C4×C59⋊C8—22no—
114C23×C4×C59C2×C411yescharacteristic
115C23×C4×C59C2×C411yescharacteristic
116C23×C4×C59C2311yescharacteristic
117C2×M16×C59C2314yes—
118C2×C42×C59C2×C411yescharacteristic
119C2×C42×C59C2×C411yescharacteristic
120C2×C42×C59D411yescharacteristic
121C2×C42×C59D411yescharacteristic
122C2×C42×C59D411yescharacteristic
123C2×C42×C59D411yescharacteristic
124C2×C42×C59D411yescharacteristic
125C2×C42×C59D411yescharacteristic
126C2×C42×C59D411yescharacteristic
127C2×C42×C59D411yescharacteristic
128C2×C42×C59C2311yescharacteristic
129C2×C42×C59C2311yescharacteristic
130C4⋊C8×C59—22no—
131C4⋊C8×C59—22no—
132C22⋊C8×C59—22no—
133C22⋊C8×C59—22no—
134#97×C59—22no—
135C4×C8×C59—22no—
136C24×C59C22×C411yescharacteristic
137C23×D59C22×C412yes—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—42no—
141C22×C4×C59—42no—
142C22×C4×C59C22⋊C411yescharacteristic
143C22×C4×C59C22⋊C411yescharacteristic
144C22×C4×C59C22⋊C411yescharacteristic
145C22×C4×C59C22⋊C411yescharacteristic
146C22×C4×C59C22⋊C411yescharacteristic
147C22×C4×C59C22⋊C411yescharacteristic
148C22×C4×C59C22⋊C411yescharacteristic
149C22×C4×C59C22⋊C411yescharacteristic
150C22×C4×C59C22×C411yescharacteristic
151C22×C4×C59C22×C411yescharacteristic
152C22×C4×C59C22×C411yescharacteristic
153C22×C4×C59C22×C411yescharacteristic
154C22×C4×C59C22×C411yescharacteristic
155C22×C4×C59C2×D411yescharacteristic
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2411yescharacteristic
160C2×C22⋊D59—22no—
161C2×C22⋊D59—22no—
162C2×C22⋊D59—24no—
163C2×C22⋊D59—24no—
164C22×Dic59C22×C412yes—
165C22×Dic59C22×C412yes—
166C22×Dic59C22×C412yes—
167#11745685—28no—
168#11745685—28no—
169#11745685—28no—
170#11745685—28no—
171C2×D236—21no—
172C2×D236—21no—
173C2×D236—22no—
174C2×D236#4114yes—
175C2×C4×D59—24no—
176C2×C4×D59—22no—
177C2×C4×D59—22no—
178C2×C4×D59—24no—
179C2×C4×D59—22no—
180C2×C4×D59—22no—
181C2×C4×D59—22no—
182C2×C4×D59—22no—
183C2×C4×D59—44no—
184C2×C4×D59—44no—
185C2×Dic118—21no—
186C2×Dic118—21no—
187C2×Dic118—22no—
188C2×Dic118#4114yes—
189M16×C59—24no—
190M16×C59—24no—
191C2×C8×C59—24no—
192C42×C59C22⋊C411yescharacteristic
193C42×C59C22⋊C411yescharacteristic
194C42×C59C22⋊C411yescharacteristic
195C42×C59C22⋊C411yescharacteristic
196C42×C59C22⋊C411yescharacteristic
197C42×C59C22⋊C411yescharacteristic
198C42×C59C22⋊C411yescharacteristic
199C42×C59C22⋊C411yescharacteristic
200C42×C59C2×D411yescharacteristic
201C42×C59C2×D411yescharacteristic
202C42×C59C2×D411yescharacteristic
203C42×C59C2×D411yescharacteristic
204C42×C59C2×D411yescharacteristic
205C42×C59C2×D411yescharacteristic
206C42×C59C2×D411yescharacteristic
207C42×C59C2×D411yescharacteristic
208C22⋊Dic59—22no—
209C22⋊Dic59—22no—
210(C2×D59)⋊C4—22no—
211(C2×D59)⋊C4—22no—
212(C2×D59)⋊C4—22no—
213(C2×D59)⋊C4—22no—
214C4⋊Dic59—21no—
215C4⋊Dic59—21no—
216C4⋊Dic59—21no—
217C4⋊Dic59—21no—
218Dic59⋊C4—22no—
219Dic59⋊C4—22no—
220Dic59⋊C4—22no—
221Dic59⋊C4—22no—
222C4×Dic59—22no—
223C4×Dic59—22no—
224C4×Dic59—22no—
225C4×Dic59—22no—
226C4×Dic59—22no—
227C4×Dic59—22no—
228#11745664—24no—
229#11745664—24no—
230C2×C59⋊C8—24no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59C2×C22⋊C411yescharacteristic
236C23×C59C2×C22⋊C411yescharacteristic
237C23×C59C23×C411yescharacteristic
238C22×D59—22no—
239C22×D59—22no—
240C22×D59—42no—
241C22×D59—42no—
242C22×D59#11714yes—
243C2×C4×C59—21no—
244C2×C4×C59—21no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59C2×C22⋊C411yescharacteristic
262C2×C4×C59C2×C22⋊C411yescharacteristic
263C2×C4×C59C2×C22⋊C411yescharacteristic
264C2×C4×C59C2×C22⋊C411yescharacteristic
265C2×C4×C59C2×C22⋊C411yescharacteristic
266C2×C4×C59C2×C22⋊C411yescharacteristic
267C2×C4×C59C2×C22⋊C411yescharacteristic
268C2×C4×C59C2×C22⋊C411yescharacteristic
269C2×C4×C59C2×C22⋊C411yescharacteristic
270C2×C4×C59C2×C22⋊C411yescharacteristic
271C2×C4×C59C22×D411yescharacteristic
272C2×C4×C59C22×D411yescharacteristic
273C2×C4×C59C2×#4112yes—
274C2×C4×C59C2×#4112yes—
275C22⋊D59—28no—
276C22⋊D59—28no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—22no—
280C2×Dic59—22no—
281C2×Dic59—42no—
282C2×Dic59—42no—
283C2×Dic59#11714yes—
284D236—24no—
285D236—24no—
286C4×D59—28no—
287C4×D59—28no—
288C4×D59—44no—
289C4×D59—44no—
290C4×D59—44no—
291C4×D59—44no—
292Dic118—24no—
293Dic118—24no—
294C8×C59—44no—
295C59⋊C8—44no—
296#20728—591nomaximal, Sylow
297C22×C59—21no—
298C22×C59—21no—
299C22×C59—21no—
300C22×C59—21no—
301C22×C59—21no—
302C22×C59—21no—
303C22×C59—21no—
304C22×C59—21no—
305C22×C59—42no—
306C22×C59—42no—
307C22×C59C22×C22⋊C411yescharacteristic
308C22×C59C2×#11711yescharacteristic
309C22×C59C2×#11711yescharacteristic
310C2×D59—24no—
311C2×D59—44no—
312C2×D59—42no—
313C2×D59—42no—
314C2×D59—44no—
315C4×C59—21no—
316C4×C59—21no—
317C4×C59—21no—
318C4×C59—21no—
319C4×C59—21no—
320C4×C59—21no—
321C4×C59—21no—
322C4×C59—21no—
323C4×C59#41312yes—
324C4×C59#41312yes—
325C4×C59#52512yes—
326C4×C59#52512yes—
327Dic59—24no—
328Dic59—42no—
329Dic59—42no—
330C2×C4×#41—591no—
331#2920—591no—
332#2920D5911yescharacteristic, complemented
333#1822—592no—
334#1801—592no—
335#1800—592no—
336#1785—592no—
337C4×#101—592no—
338C4×#100—592no—
339C2×C59—21no—
340C2×C59—21no—
341C2×C59—41no—
342C2×C59—41no—
343C2×C59#228011yescharacteristic
344C2×C59C2×#41311yescharacteristic
345C2×C59C2×#41311yescharacteristic
346D59—44no—
347C22×#41—591no—
348C4×#41—1181no—
349C4×#41—1181no—
350C4×#41—1181no—
351C4×#41—1181no—
352C4×#41—1181no—
353C4×#41—1181no—
354C4×#41—1181no—
355C4×#41—1181no—
356C2×C4×Q8—591no—
357C2×C4×Q8—591no—
358C2×C4×D4—592no—
359C2×C4×D4—592no—
360C2×C4×D4—591no—
361C2×C4×D4—591no—
362C2×#117—591no—
363C2×#117—592no—
364C22×C42—592no—
365C22×C42C2×D5911yescharacteristic
366#432—21no—
367#432—21no—
368#432—1181no—
369#432—1181no—
370#431—21no—
371#431—21no—
372#431—1181no—
373#431—1181no—
374#423—592no—
375#423C2×D5912yes—
376C2×#101—594no—
377C2×#100—594no—
378#407—592no—
379#407C2×D5912yes—
380C4×M16—592no—
381C4×M16C2×D5912yes—
382#343—594no—
383#343—594no—
384C59#2072811yescharacteristic, complemented, Sylow
385C2×#41—1184no—
386C2×#41—1184no—
387C2×#41—1181no—
388C2×#41—1181no—
389C2×#41—1181no—
390C2×#41—1181no—
391C22×Q8—591no—
392C22×D4—592no—
393C22×D4—591no—
394C23×C4—592no—
395C23×C4—592no—
396C23×C4—592no—
397C23×C4C4×D5911yescharacteristic
398C23×C4C4×D5911yescharacteristic
399C23×C4C22×D5911yescharacteristic
400C2×M16—594no—
401C2×M16C22×D5914yes—
402C4×Q8—1181no—
403C4×Q8—1181no—
404C4×Q8—1181no—
405C4×Q8—1181no—
406C4×Q8—1181no—
407C4×Q8—1181no—
408C4×Q8—1181no—
409C4×Q8—1181no—
410C4×D4—1182no—
411C4×D4—1182no—
412C4×D4—1182no—
413C4×D4—1182no—
414C4×D4—1182no—
415C4×D4—1182no—
416C4×D4—1182no—
417C4×D4—1182no—
418C4×D4—1181no—
419C4×D4—1181no—
420C4×D4—1181no—
421C4×D4—1181no—
422C4×D4—1181no—
423C4×D4—1181no—
424C4×D4—1181no—
425C4×D4—1181no—
426#117—1181no—
427#117—1181no—
428#117—1181no—
429#117—1181no—
430#117—1182no—
431#117—1182no—
432#117—1182no—
433#117—1182no—
434C2×C4⋊C4—592no—
435C2×C4⋊C4—592no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C22⋊C4—592no—
439C2×C22⋊C4—592no—
440C2×C22⋊C4—592no—
441C2×C42—592no—
442C2×C42—592no—
443C2×C42—592no—
444C2×C42—1182no—
445C2×C42—1182no—
446C2×C42—1182no—
447C2×C42—1182no—
448C2×C42C4×D5911yescharacteristic
449C2×C42C4×D5911yescharacteristic
450C2×C42D23611yescharacteristic
451C2×C42D23611yescharacteristic
452C2×C42D23611yescharacteristic
453C2×C42D23611yescharacteristic
454C2×C42C22⋊D5911yescharacteristic
455C2×C42C22⋊D5911yescharacteristic
456C2×C42C22⋊D5911yescharacteristic
457C2×C42C22⋊D5911yescharacteristic
458C2×C42C22×D5911yescharacteristic
459C2×C42C22×D5911yescharacteristic
460C4⋊C8—22no—
461C4⋊C8—22no—
462C4⋊C8—1182no—
463C4⋊C8—1182no—
464#101—1188no—
465#100—1188no—
466C22⋊C8—22no—
467C22⋊C8—22no—
468C22⋊C8—1182no—
469C22⋊C8—1182no—
470#97—22no—
471#97—1182no—
472C4×C8—22no—
473C4×C8—1182no—
474C24—592no—
475C24C2×C4×D5911yescharacteristic
476#41—1188no—
477#41—1188no—
478#41—1188no—
479#41—1188no—
480C2×Q8—594no—
481C2×Q8—1181no—
482C2×Q8—1181no—
483C2×Q8—1182no—
484C2×D4—594no—
485C2×D4—1184no—
486C2×D4—1184no—
487C2×D4—1182no—
488C2×D4—1182no—
489C2×D4—1181no—
490C2×D4—1181no—
491C2×D4—1182no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—592no—
497C22×C4—592no—
498C22×C4—592no—
499C22×C4—1184no—
500C22×C4—1184no—
501C22×C4—1182no—
502C22×C4—1182no—
503C22×C4—1182no—
504C22×C4—1182no—
505C22×C4—1182no—
506C22×C4—1182no—
507C22×C4—2364no—
508C22×C4—2364no—
509C22×C4(C2×D59)⋊C411yescharacteristic
510C22×C4(C2×D59)⋊C411yescharacteristic
511C22×C4(C2×D59)⋊C411yescharacteristic
512C22×C4(C2×D59)⋊C411yescharacteristic
513C22×C4(C2×D59)⋊C411yescharacteristic
514C22×C4(C2×D59)⋊C411yescharacteristic
515C22×C4(C2×D59)⋊C411yescharacteristic
516C22×C4(C2×D59)⋊C411yescharacteristic
517C22×C4C2×C4×D5911yescharacteristic
518C22×C4C2×C4×D5911yescharacteristic
519C22×C4C2×C4×D5911yescharacteristic
520C22×C4C2×C4×D5911yescharacteristic
521C22×C4C2×C4×D5911yescharacteristic
522C22×C4C2×D23611yescharacteristic
523C22×C4C2×D23611yescharacteristic
524C22×C4C2×C22⋊D5911yescharacteristic
525C22×C4C2×C22⋊D5911yescharacteristic
526C22×C4C23×D5911yescharacteristic
527M16—24no—
528M16—24no—
529M16—1184no—
530M16—1184no—
531C2×C8—24no—
532C2×C8—1184no—
533C4⋊C4—1182no—
534C4⋊C4—1182no—
535C4⋊C4—1182no—
536C4⋊C4—1182no—
537C4⋊C4—1181no—
538C4⋊C4—1181no—
539C4⋊C4—1181no—
540C4⋊C4—1181no—
541C22⋊C4—1182no—
542C22⋊C4—1182no—
543C22⋊C4—1182no—
544C22⋊C4—1182no—
545C22⋊C4—1182no—
546C22⋊C4—1182no—
547C42—1182no—
548C42—1182no—
549C42—1182no—
550C42—1182no—
551C42—1182no—
552C42—1182no—
553C42(C2×D59)⋊C411yescharacteristic
554C42(C2×D59)⋊C411yescharacteristic
555C42(C2×D59)⋊C411yescharacteristic
556C42(C2×D59)⋊C411yescharacteristic
557C42(C2×D59)⋊C411yescharacteristic
558C42(C2×D59)⋊C411yescharacteristic
559C42(C2×D59)⋊C411yescharacteristic
560C42(C2×D59)⋊C411yescharacteristic
561C42C2×D23611yescharacteristic
562C42C2×D23611yescharacteristic
563C42C2×D23611yescharacteristic
564C42C2×D23611yescharacteristic
565C42C2×C22⋊D5911yescharacteristic
566C42C2×C22⋊D5911yescharacteristic
567C42C2×C22⋊D5911yescharacteristic
568C42C2×C22⋊D5911yescharacteristic
569C23—21no—
570C23—21no—
571C23—41no—
572C23—41no—
573C23—594no—
574C23—1182no—
575C23—1182no—
576C23—2362no—
577C23—2362no—
578C23C2×(C2×D59)⋊C411yescharacteristic
579C23C2×(C2×D59)⋊C411yescharacteristic
580C23C22×C4×D5911yescharacteristic
581Q8—1184no—
582Q8—1184no—
583D4—1188no—
584D4—1188no—
585D4—1184no—
586D4—1184no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—594no—
606C2×C4—1188no—
607C2×C4—1188no—
608C2×C4—1182no—
609C2×C4—1182no—
610C2×C4—1182no—
611C2×C4—1182no—
612C2×C4—2364no—
613C2×C4—2364no—
614C2×C4—2364no—
615C2×C4—2364no—
616C2×C4—2362no—
617C2×C4—2362no—
618C2×C4C2×(C2×D59)⋊C411yescharacteristic
619C2×C4C2×(C2×D59)⋊C411yescharacteristic
620C2×C4C2×(C2×D59)⋊C411yescharacteristic
621C2×C4C2×(C2×D59)⋊C411yescharacteristic
622C2×C4C2×(C2×D59)⋊C411yescharacteristic
623C2×C4C2×(C2×D59)⋊C411yescharacteristic
624C2×C4C2×(C2×D59)⋊C411yescharacteristic
625C2×C4C2×(C2×D59)⋊C411yescharacteristic
626C2×C4C2×(C2×D59)⋊C411yescharacteristic
627C2×C4C2×(C2×D59)⋊C411yescharacteristic
628C2×C4C22×C22⋊D5911yescharacteristic
629C2×C4C22×D23611yescharacteristic
630C2×C4#41×D5912yes—
631C2×C4#41×D5912yes—
632C8—44no—
633C8—2364no—
634C22—21no—
635C22—21no—
636C22—21no—
637C22—21no—
638C22—21no—
639C22—21no—
640C22—21no—
641C22—21no—
642C22—42no—
643C22—42no—
644C22—1184no—
645C22—2364no—
646C22—2364no—
647C22—2362no—
648C22—2362no—
649C22C22×(C2×D59)⋊C411yescharacteristic
650C22#117×D5911yescharacteristic
651C22#117×D5911yescharacteristic
652C4—21no—
653C4—21no—
654C4—21no—
655C4—21no—
656C4—21no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—1184no—
661C4—2362no—
662C4—2362no—
663C4#1683738412yes—
664C4#1683738412yes—
665C4#1683790912yes—
666C4#1683791412yes—
667C2—21no—
668C2—21no—
669C2—41no—
670C2—41no—
671C2—2364no—
672C2#2142647511yescharacteristic
673C2C2×#1683738411yescharacteristic
674C2C2×#1683738411yescharacteristic
subgroupG/H
centerC2×C4C2×(C2×D59)⋊C4
commutatorC23×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#2920C2
socleC22×C59C22×C22⋊C4
prime radicalC22×#11745685C22
cosocleC22×C4×C59C24
hypercenter#2920D59
hypocenterC59#20728
LCSG ▷ C23×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C22×C42 ◁ #2920

Complements

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

NH ≅ G/Ntype
2. #21432729C2semidirect
3. #21424177C2semidirect
4. #21424089C2semidirect
5. #21424085C2semidirect
7. C4×#14273645C2semidirect
8. C4×#14273643C2semidirect
9. C59×#2920C2semidirect
332. #2920D59semidirect
384. C59#20728semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117456852
#214327292
#214241772
#214240892
#214240852
#214240222
C4×#142736452
C4×#142736432
C59×#29202
#2072859