Finite Group Databasebeta

← C4×#16837621 #28594918

Subgroups — C4×#16837621 #28594918

Order 15104.

1016 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837621C211yesmaximal, characteristic
2C2×C4×#11745672C211yesmaximal, characteristic, complemented
3C2×C4×#11745670C211yesmaximal, characteristic
4C42×Dic118C211yesmaximal, characteristic, complemented
5#21425029C211yesmaximal, characteristic
6#21424862C211yesmaximal, characteristic, complemented
7#21424727C211yesmaximal, characteristic, complemented
8#21424713C211yesmaximal, characteristic
9#21424454C211yesmaximal, characteristic
10#21424440C211yesmaximal, characteristic, complemented
11#21424108C211yesmaximal, characteristic, complemented
12C4×C4⋊(C59⋊C8)C211yesmaximal, characteristic, complemented
13C4×#14273651C211yesmaximal, characteristic, complemented
14C4×#14273648C211yesmaximal, characteristic
15C4×#124×C59C211yesmaximal, characteristic
16C22×#11745672C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C2×C4×Dic118C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×Dic118C2211yescharacteristic
21#16837621C418yesdirect product factor
22C4×#11745672—24no—
23C4×#11745670—24no—
24C2×#14273660C2211yescharacteristic
25C2×#14273658C2211yescharacteristic
26C2×C4⋊(C59⋊C8)C2211yescharacteristic
27C2×C4⋊(C59⋊C8)C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273651C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273650C2211yescharacteristic
32C2×#14273650C2211yescharacteristic
33C2×#14273648C2211yescharacteristic
34C2×#14273648C2211yescharacteristic
35C2×#14273648C2211yescharacteristic
36C2×C4×C59⋊C8C2211yescharacteristic
37C2×C4×C59⋊C8C2211yescharacteristic
38C4×Dic59⋊C4—21no—
39C4×Dic59⋊C4—21no—
40C4×Dic59⋊C4—21no—
41C4×C4⋊Dic59C2211yescharacteristic
42C4×C4⋊Dic59C2211yescharacteristic
43C4×C4⋊Dic59C2211yescharacteristic
44C42×Dic59—21no—
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837157C2211yescharacteristic
50#16837157C2211yescharacteristic
51C2×#124×C59C2211yescharacteristic
52C2×C4×Q8×C59C2211yescharacteristic
53C2×C4×D4×C59C2211yescharacteristic
54C59×#391C2211yescharacteristic
55C59×#390C2211yescharacteristic
56C59×#388—21no—
57C59×#388—21no—
58C59×#382C2211yescharacteristic
59C4×C22⋊C4×C59—21no—
60C4×C22⋊C4×C59—21no—
61C43×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C2×#11745672—22no—
64C2×#11745672—22no—
65C2×#11745672C2×C414yescomplemented
66C2×#11745670—22no—
67C2×#11745670—22no—
68C2×#11745670C2×C414yes—
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72C22×C59⋊C8C2311yescharacteristic
73C4×Dic118—22no—
74C4×Dic118—22no—
75C4×Dic118—22no—
76C4×Dic118—22no—
77C4×Dic118C2×C414yescomplemented
78C4×Dic118D414yes—
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×C4×Dic59—21no—
86C2×C4×Dic59—21no—
87C2×C4×Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90C2×C4×Dic59—21no—
91#14273660—22no—
92#14273658—22no—
93C4⋊(C59⋊C8)—22no—
94C4⋊(C59⋊C8)C2×C414yescomplemented
95#14273651—22no—
96#14273651—22no—
97#14273651C2×C414yescomplemented
98#14273650—22no—
99#14273650—22no—
100#14273648—22no—
101#14273648—22no—
102#14273648C2×C414yes—
103C4×C59⋊C8—22no—
104C4×C59⋊C8—22no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C22×Q8×C59C2311yescharacteristic
109C22×D4×C59C2311yescharacteristic
110C23×C4×C59—21no—
111#124×C59—22no—
112#124×C59C2×C414yes—
113C4×Q8×C59—22no—
114C4×Q8×C59—22no—
115C4×D4×C59—22no—
116C4×D4×C59—22no—
117C2×C4⋊C4×C59—21no—
118C2×C4⋊C4×C59C2311yescharacteristic
119C2×C4⋊C4×C59C2311yescharacteristic
120C2×C22⋊C4×C59—21no—
121C2×C22⋊C4×C59—21no—
122C2×C22⋊C4×C59—21no—
123C2×C22⋊C4×C59—21no—
124C2×C22⋊C4×C59—21no—
125C2×C42×C59—21no—
126C2×C42×C59D411yescharacteristic
127C2×C42×C59D411yescharacteristic
128C2×C42×C59D411yescharacteristic
129C2×C42×C59D411yescharacteristic
130C2×C42×C59C2311yescharacteristic
131C2×C42×C59C2311yescharacteristic
132C2×C42×C59C2311yescharacteristic
133#95×C59—21no—
134#95×C59—21no—
135#95×C59—21no—
136#95×C59—21no—
137C24×C59—21no—
138C2×Q8×C59—21no—
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59C22×C412yes—
144C2×D4×C59—21no—
145C2×D4×C59—21no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59C22×C412yes—
150C22×C4×C59—21no—
151C22×C4×C59—21no—
152C22×C4×C59—21no—
153C22×C4×C59—42no—
154C22×C4×C59—42no—
155C22×C4×C59—42no—
156C22×C4×C59C2×D411yescharacteristic
157C22×C4×C59C2×D411yescharacteristic
158C22×C4×C59C2×D411yescharacteristic
159C22×C4×C59C2×D411yescharacteristic
160C22×C4×C59C2×D411yescharacteristic
161C22×C4×C59C2×D411yescharacteristic
162C22×C4×C59C2411yescharacteristic
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—21no—
166C22×Dic59—21no—
167C2×Dic118—21no—
168C2×Dic118—21no—
169C2×Dic118—21no—
170C2×Dic118C22×C412yes—
171C2×Dic118C2×D412yes—
172C2×Dic118#4112yes—
173C4⋊C4×C59—21no—
174C4⋊C4×C59—21no—
175C4⋊C4×C59—21no—
176C4⋊C4×C59—21no—
177C4⋊C4×C59—42no—
178C22⋊C4×C59—24no—
179C22⋊C4×C59—24no—
180C22⋊C4×C59—42no—
181C22⋊C4×C59—42no—
182C22⋊C4×C59—42no—
183C42×C59—22no—
184C42×C59—22no—
185C42×C59—22no—
186C42×C59—21no—
187C42×C59—21no—
188C42×C59—41no—
189C42×C59—42no—
190C42×C59C22×C412yes—
191C42×C59C2×D412yes—
192C42×C59#4112yes—
193C42×C59#4112yes—
194#11745672—28no—
195#11745670—28no—
196C4⋊Dic59—21no—
197C4⋊Dic59—21no—
198C4⋊Dic59—21no—
199C4⋊Dic59C22×C412yes—
200C4⋊Dic59C2×D412yes—
201C4⋊Dic59#4112yes—
202Dic59⋊C4—24no—
203Dic59⋊C4—24no—
204Dic59⋊C4—24no—
205C4×Dic59—24no—
206C4×Dic59—24no—
207C4×Dic59—24no—
208C4×Dic59—42no—
209C4×Dic59—42no—
210C4×Dic59—42no—
211C2×C59⋊C8—21no—
212C2×C59⋊C8—21no—
213C2×C59⋊C8—21no—
214C2×C59⋊C8—21no—
215C2×C59⋊C8—21no—
216C2×C59⋊C8—21no—
217C2×C59⋊C8—21no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8C22×C412yes—
222C2×C59⋊C8C22×C412yes—
223C23×C59—22no—
224C23×C59—41no—
225C23×C59—41no—
226C23×C59—41no—
227C23×C59—41no—
228C23×C59—41no—
229C23×C59—41no—
230C23×C59C22×D411yescharacteristic
231Q8×C59—22no—
232Q8×C59—22no—
233Q8×C59—41no—
234Q8×C59—41no—
235D4×C59—22no—
236D4×C59—22no—
237D4×C59—41no—
238D4×C59—41no—
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—21no—
246C2×C4×C59—21no—
247C2×C4×C59—22no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—21no—
251C2×C4×C59—41no—
252C2×C4×C59—41no—
253C2×C4×C59—41no—
254C2×C4×C59—41no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—84no—
260C2×C4×C59C4×D412yes—
261C2×C4×C59C4×D412yes—
262C2×C4×C59#12112yes—
263C2×C4×C59#12112yes—
264C2×C4×C59#13512yes—
265C2×C4×C59#13512yes—
266C2×C4×C59#13712yes—
267C2×C4×C59C23×C411yescharacteristic
268C2×C4×C59C22×D411yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×C4×C59C2×#4111yescharacteristic
272C2×C4×C59C2×#4111yescharacteristic
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—22no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285Dic118—22no—
286Dic118—22no—
287Dic118—22no—
288Dic118C4×D414yes—
289C59⋊C8—22no—
290C59⋊C8—22no—
291C59⋊C8—41no—
292C59⋊C8—41no—
293C4×#464—591nomaximal, Sylow
294C22×C59—42no—
295C22×C59—42no—
296C22×C59—42no—
297C22×C59—81no—
298C22×C59—81no—
299C22×C59—81no—
300C22×C59—81no—
301C22×C59C2×C4×D411yescharacteristic
302C22×C59C2×#12111yescharacteristic
303C22×C59#52511yescharacteristic
304C22×C59C2×#13511yescharacteristic
305C22×C59C2×#13511yescharacteristic
306C22×C59C2×#13711yescharacteristic
307C22×C59#57511yescharacteristic
308C4×C59—22no—
309C4×C59—22no—
310C4×C59—22no—
311C4×C59—22no—
312C4×C59—41no—
313C4×C59—42no—
314C4×C59—81no—
315C4×C59—81no—
316C4×C59#46414yescomplemented
317C4×C59C2×C4×D411yescharacteristic
318C4×C59C4×#4111yescharacteristic
319C4×C59#52911yescharacteristic
320C4×C59#53211yescharacteristic
321Dic59—24no—
322Dic59—42no—
323Dic59—42no—
324Dic59—42no—
325C2×#464—591no—
326C2×C4×Q16—591no—
327C2×C4×SD16—591no—
328C4×#124D5911yescharacteristic
329C42×Q8—591no—
330#1983—591no—
331#1949—591no—
332#1927—591no—
333#1925—591no—
334#1880—591no—
335#1878—591no—
336#1805—591no—
337C4×C4⋊C8—591no—
338C4×#103—591no—
339C4×#102—591no—
340C2×C59—82no—
341C2×C59C4×#12111yescharacteristic
342C2×C59C4×#13511yescharacteristic
343C2×C59C4×#13711yescharacteristic
344C2×C59C2×#46411yescharacteristic
345C2×C59#303511yescharacteristic
346C2×C59#310211yescharacteristic
347C2×C59#310811yescharacteristic
348C22×Q16—591no—
349C22×SD16—591no—
350C2×#124C2×D5911yescharacteristic
351C2×C4×Q8—591no—
352C2×C4×Q8—591no—
353C2×C4×Q8—591no—
354C2×C4×Q8C2×D5911yescharacteristic
355C2×C4×D4C2×D5911yescharacteristic
356#464—598no—
357C4×Q16—1184no—
358C4×SD16—1184no—
359C2×#107—591no—
360C2×#106—591no—
361C2×C4⋊C8—591no—
362C2×C4⋊C8—591no—
363C2×#103—591no—
364C2×#103—591no—
365C2×#103—591no—
366C2×#103—591no—
367C2×#103—591no—
368C2×#102—591no—
369C2×#102—591no—
370C2×#102—591no—
371C2×C4×C8—591no—
372C2×C4×C8—591no—
373#391C2×D5911yescharacteristic
374#390C2×D5911yescharacteristic
375#388—21no—
376#388—21no—
377#382C2×D5911yescharacteristic
378C4×C4⋊C4—591no—
379C4×C4⋊C4—591no—
380C4×C4⋊C4—591no—
381C4×C4⋊C4—1181no—
382C4×C4⋊C4—1181no—
383C4×C4⋊C4—1181no—
384C4×C22⋊C4—21no—
385C4×C22⋊C4—21no—
386C43—1181no—
387C43C2×D5911yescharacteristic
388#340—591no—
389#340—591no—
390#340—591no—
391#340—591no—
392#336—591no—
393#336—591no—
394C59C4×#46411yescharacteristic, complemented, Sylow
395C22×Q8—591no—
396C22×Q8C22×D5911yescharacteristic
397C22×D4C22×D5911yescharacteristic
398C23×C4—21no—
399C2×Q16—594no—
400C2×Q16—1182no—
401C2×Q16—1182no—
402C2×SD16—594no—
403C2×SD16—1182no—
404C2×SD16—1182no—
405C22×C8—591no—
406C22×C8—591no—
407C22×C8—591no—
408C22×C8—591no—
409#124—22no—
410#124C4×D5914yes—
411C4×Q8—22no—
412C4×Q8—22no—
413C4×Q8—594no—
414C4×Q8—594no—
415C4×Q8—1182no—
416C4×Q8—1182no—
417C4×Q8—1182no—
418C4×Q8—1182no—
419C4×D4—22no—
420C4×D4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—591no—
423C2×C4⋊C4—591no—
424C2×C4⋊C4—591no—
425C2×C4⋊C4—1181no—
426C2×C4⋊C4—1181no—
427C2×C4⋊C4—1181no—
428C2×C4⋊C4C22×D5911yescharacteristic
429C2×C4⋊C4C22×D5911yescharacteristic
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C42—21no—
436C2×C42—1181no—
437C2×C42—1181no—
438C2×C42—1181no—
439C2×C42—1181no—
440C2×C42—1181no—
441C2×C42—1181no—
442C2×C42C22⋊D5911yescharacteristic
443C2×C42C22⋊D5911yescharacteristic
444C2×C42C22⋊D5911yescharacteristic
445C2×C42C22⋊D5911yescharacteristic
446C2×C42C22×D5911yescharacteristic
447C2×C42C22×D5911yescharacteristic
448C2×C42C22×D5911yescharacteristic
449#107—1182no—
450#106—1182no—
451C4⋊C8—594no—
452C4⋊C8—1182no—
453#103—594no—
454#103—1182no—
455#103—1182no—
456#103—1182no—
457#103—1182no—
458#102—594no—
459#102—1182no—
460#102—1182no—
461C4×C8—1182no—
462C4×C8—1182no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—1181no—
468#95—1181no—
469#95—1181no—
470C24—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—592no—
477C2×Q8—592no—
478C2×Q8—592no—
479C2×Q8—1181no—
480C2×Q8—1181no—
481C2×Q8—1181no—
482C2×Q8C2×C4×D5912yes—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4C2×C4×D5912yes—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—1181no—
496C22×C4—1181no—
497C22×C4—1181no—
498C22×C4—1181no—
499C22×C4C2×C22⋊D5911yescharacteristic
500C22×C4C2×C22⋊D5911yescharacteristic
501C22×C4C2×C22⋊D5911yescharacteristic
502C22×C4C2×C22⋊D5911yescharacteristic
503C22×C4C2×C22⋊D5911yescharacteristic
504C22×C4C2×C22⋊D5911yescharacteristic
505C22×C4C23×D5911yescharacteristic
506Q16—1188no—
507SD16—1188no—
508C2×C8—592no—
509C2×C8—592no—
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—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—42no—
525C4⋊C4—592no—
526C4⋊C4—592no—
527C4⋊C4—592no—
528C4⋊C4—1184no—
529C4⋊C4—1184no—
530C4⋊C4—1184no—
531C4⋊C4—1181no—
532C4⋊C4—1181no—
533C4⋊C4—1181no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—42no—
539C42—22no—
540C42—22no—
541C42—22no—
542C42—21no—
543C42—21no—
544C42—41no—
545C42—42no—
546C42—1184no—
547C42—1184no—
548C42—1184no—
549C42—2362no—
550C42—2362no—
551C42—2362no—
552C42C2×C4×D5912yes—
553C42#1174568512yes—
554C42D4×D5912yes—
555C42#1174568712yes—
556C23—22no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C22×C22⋊D5911yescharacteristic
564Q8—22no—
565Q8—22no—
566Q8—41no—
567Q8—41no—
568Q8—594no—
569Q8—1182no—
570Q8—1182no—
571Q8—1182no—
572D4—22no—
573D4—22no—
574D4—41no—
575D4—41no—
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—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
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—84no—
597C2×C4—1182no—
598C2×C4—1182no—
599C2×C4—1182no—
600C2×C4—1182no—
601C2×C4—1182no—
602C2×C4—1182no—
603C2×C4—2361no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4—2361no—
607C2×C4—2361no—
608C2×C4—2361no—
609C2×C4C4×C22⋊D5912yes—
610C2×C4C4×C22⋊D5912yes—
611C2×C4#1427369812yes—
612C2×C4#1427369812yes—
613C2×C4#1427374712yes—
614C2×C4#1427374712yes—
615C2×C4#1427375712yes—
616C2×C4C22×C4×D5911yescharacteristic
617C2×C4C2×D4×D5911yescharacteristic
618C2×C4#41×D5911yescharacteristic
619C2×C4#41×D5911yescharacteristic
620C2×C4C2×#1174568711yescharacteristic
621C2×C4C2×#1174568511yescharacteristic
622C8—1182no—
623C8—1182no—
624C8—2361no—
625C8—2361no—
626C22—42no—
627C22—42no—
628C22—42no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22C2×C4×C22⋊D5911yescharacteristic
634C22C2×#1427369811yescharacteristic
635C22#1683790911yescharacteristic
636C22C2×#1427374711yescharacteristic
637C22C2×#1427374711yescharacteristic
638C22C2×#1427375711yescharacteristic
639C22#1683820011yescharacteristic
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—42no—
645C4—41no—
646C4—81no—
647C4—81no—
648C4—1184no—
649C4—2362no—
650C4—2362no—
651C4—2362no—
652C4#1683762114yesdirect product factor
653C4C4×D4×D5911yescharacteristic
654C4C4×#1174568711yescharacteristic
655C4#1683793411yescharacteristic
656C4#1683794911yescharacteristic
657C2—82no—
658C2C4×#1427369811yescharacteristic
659C2C4×#1427374711yescharacteristic
660C2C4×#1427375711yescharacteristic
661C2C2×#1683762111yescharacteristic
662C2#2143354511yescharacteristic
663C2#2143410811yescharacteristic
664C2#2143417211yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC4×#124×C59C2
socleC23×C59C22×D4
prime radicalC22×D4×C59C23
cosocleC22×C4×C59C24
hypercenterC4×#124D59
hypocenterC59C4×#464
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22×C4 ◁ C43 ◁ C4×#124

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745672C2semidirect
4. C42×Dic118C2semidirect
6. #21424862C2semidirect
7. #21424727C2semidirect
10. #21424440C2semidirect
11. #21424108C2semidirect
12. C4×C4⋊(C59⋊C8)C2semidirect
13. C4×#14273651C2semidirect
21. #16837621C4direct (N × H)
65. C2×#11745672C2×C4semidirect
77. C4×Dic118C2×C4semidirect
94. C4⋊(C59⋊C8)C2×C4semidirect
97. #14273651C2×C4semidirect
316. C4×C59#464semidirect
394. C59C4×#464semidirect
652. C4#16837621direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#168376212
C2×C4×#117456722
C2×C4×#117456702
C42×Dic1182
#214250292
#214248622
#214247272
#214247132
#214244542
#214244402
#214241082
C4×C4⋊(C59⋊C8)2
C4×#142736512
C4×#142736482
C4×#124×C592
C4×#46459