Finite Group Databasebeta

← #28510197

Subgroups — #28510197

Order 15104.

2298 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837273C212yesmaximal
2C2×C4×(C2×D59)⋊C4C212yesmaximal
3C2×C4×(C2×D59)⋊C4C211yesmaximal, characteristic
4C2×#95×D59C211yesmaximal, characteristic
5#21422329C212yesmaximal, complemented
6#21422328C212yesmaximal, complemented
7Dic59⋊#95C211yesmaximal, characteristic, complemented
8#21422323C211yesmaximal, characteristic, complemented
9(C2×D59)⋊#95C211yesmaximal, characteristic
10#95×Dic59C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊C4×C59C211yesmaximal, characteristic, complemented
12C23×C4×D59C2212yes—
13C23×C4×D59C2211yescharacteristic
14C22×Dic59⋊C4C2212yes—
15C22×(C2×D59)⋊C4C2212yes—
16C22×(C2×D59)⋊C4C2211yescharacteristic
17C22×(C2×D59)⋊C4C2211yescharacteristic
18C22×C4×Dic59C2212yes—
19C22×C4×Dic59C2211yescharacteristic
20#16837273C4116yescomplemented
21C4×(C2×D59)⋊C4—28no—
22C4×(C2×D59)⋊C4C418yescomplemented
23C2×C59⋊#95C2211yescharacteristic
24C2×C59⋊#95C2211yescharacteristic
25C2×C59⋊#95C2212yes—
26C2×C59⋊#95C2212yes—
27C2×C59⋊#95C2212yes—
28C2×C59⋊#95C2212yes—
29C2×C59⋊#95C2212yes—
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2211yescharacteristic
32C2×C59⋊#95C2211yescharacteristic
33#95×D59—24no—
34C22×C4⋊C4×C59C2212yes—
35C22×C42×C59C2212yes—
36C22×C42×C59C2211yescharacteristic
37C4×C4⋊C4×C59—24no—
38C2×#95×C59C2211yescharacteristic
39C2×#95×C59C2211yescharacteristic
40C24×D59C2311yescharacteristic
41C23×Dic59C2311yescharacteristic
42C23×Dic59C2312yes—
43C23×Dic59C2312yes—
44C23×Dic59C2311yescharacteristic
45C23×Dic59C2311yescharacteristic
46C22×C4×D59—24no—
47C22×C4×D59—24no—
48C22×C4×D59—24no—
49C22×C4×D59—22no—
50C22×C4×D59—24no—
51C22×C4×D59—22no—
52C22×C4×D59—24no—
53C22×C4×D59—42no—
54C22×C4×D59—42no—
55C22×C4×D59—42no—
56C22×C4×D59C2×C414yes—
57C22×C4×D59C2×C418yes—
58C2×Dic59⋊C4—42no—
59C2×Dic59⋊C4—42no—
60C2×Dic59⋊C4C2×C418yescomplemented
61C2×(C2×D59)⋊C4—24no—
62C2×(C2×D59)⋊C4—24no—
63C2×(C2×D59)⋊C4C2×C418yes—
64C2×(C2×D59)⋊C4C2×C414yes—
65C2×(C2×D59)⋊C4C2×C418yes—
66C2×(C2×D59)⋊C4C2×C414yes—
67C2×(C2×D59)⋊C4D414yes—
68C2×(C2×D59)⋊C4Q814yes—
69C2×C4×Dic59—24no—
70C2×C4×Dic59—24no—
71C2×C4×Dic59—42no—
72C2×C4×Dic59—42no—
73C2×C4×Dic59C2×C414yescomplemented
74C59⋊#95—22no—
75C59⋊#95—24no—
76C59⋊#95—24no—
77C59⋊#95—22no—
78C59⋊#95—24no—
79C59⋊#95—42no—
80C59⋊#95C2×C414yescomplemented
81C59⋊#95C2×C414yescomplemented
82C59⋊#95C2×C418yescomplemented
83C59⋊#95C2×C418yescomplemented
84C23×C4×C59C2312yes—
85C23×C4×C59C2311yescharacteristic
86C23×C4×C59C2311yescharacteristic
87C23×C4×C59C2311yescharacteristic
88C23×C4×C59C2312yes—
89C2×C4⋊C4×C59—24no—
90C2×C4⋊C4×C59—24no—
91C2×C4⋊C4×C59C2×C418yescomplemented
92C2×C42×C59—22no—
93C2×C42×C59—22no—
94C2×C42×C59—24no—
95C2×C42×C59—24no—
96C2×C42×C59—42no—
97C2×C42×C59C2×C414yescomplemented
98#95×C59—22no—
99#95×C59D414yes—
100C24×C59C2411yescharacteristic
101C23×D59—21no—
102C23×D59—22no—
103C23×D59—21no—
104C23×D59—21no—
105C23×D59—22no—
106C23×D59—21no—
107C23×D59C22×C412yes—
108C23×D59C22×C414yes—
109C23×D59C2×D412yes—
110C23×D59C2×Q812yes—
111C23×D59#4114yes—
112C22×C4×C59—21no—
113C22×C4×C59—21no—
114C22×C4×C59—22no—
115C22×C4×C59—21no—
116C22×C4×C59—21no—
117C22×C4×C59—22no—
118C22×C4×C59—22no—
119C22×C4×C59—22no—
120C22×C4×C59—21no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—21no—
125C22×C4×C59—22no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—22no—
130C22×C4×C59—22no—
131C22×C4×C59C22×C414yes—
132C22×C4×C59C22×C412yes—
133C22×C4×C59C22×C414yes—
134C22×C4×C59C22×C412yes—
135C22×C4×C59C22×C412yes—
136C22×C4×C59C22×C414yes—
137C22×C4×C59C2×D412yes—
138C22×C4×C59C2×D412yes—
139C22×C4×C59C2×D414yes—
140C22×C4×C59C2×Q812yes—
141C22×C4×C59#4112yes—
142C22×C4×C59#4114yes—
143C22×Dic59—22no—
144C22×Dic59—22no—
145C22×Dic59—22no—
146C22×Dic59—21no—
147C22×Dic59—21no—
148C22×Dic59—22no—
149C22×Dic59—22no—
150C22×Dic59—21no—
151C22×Dic59—22no—
152C22×Dic59—22no—
153C22×Dic59—22no—
154C22×Dic59—22no—
155C22×Dic59—22no—
156C22×Dic59—22no—
157C22×Dic59—22no—
158C22×Dic59—21no—
159C22×Dic59—22no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
163C22×Dic59—22no—
164C22×Dic59C22×C414yes—
165C22×Dic59C22×C412yes—
166C22×Dic59C22×C414yes—
167C22×Dic59C22×C412yes—
168C22×Dic59C22×C414yes—
169C22×Dic59C22×C412yes—
170C22×Dic59C2×D412yes—
171C22×Dic59C2×Q812yes—
172C2×C4×D59—28no—
173C2×C4×D59—216no—
174C2×C4×D59—28no—
175C2×C4×D59—216no—
176C2×C4×D59—48no—
177C2×C4×D59—44no—
178C2×C4×D59—48no—
179C2×C4×D59—48no—
180C2×C4×D59—48no—
181C2×C4×D59—48no—
182C2×C4×D59—48no—
183C2×C4×D59—48no—
184C4⋊C4×C59—216no—
185C42×C59—28no—
186C42×C59—48no—
187(C2×D59)⋊C4—216no—
188(C2×D59)⋊C4C42116yescomplemented
189(C2×D59)⋊C4C4⋊C4116yescomplemented
190Dic59⋊C4—48no—
191C4×Dic59—44no—
192C4×Dic59—48no—
193C23×C59C23×C411yescharacteristic
194C23×C59C23×C412yes—
195C23×C59C22×D411yescharacteristic
196C23×C59C22×D411yescharacteristic
197C23×C59C22×Q811yescharacteristic
198C23×C59C2×#4112yes—
199C23×C59C2×#4112yes—
200C23×C59C2×#4111yescharacteristic
201C23×C59H(5,𝔽2)11yescharacteristic
202C23×C59H(5,𝔽2)12yes—
203C23×C592−1+411yescharacteristic
204C22×D59—22no—
205C22×D59—24no—
206C22×D59—22no—
207C22×D59—24no—
208C22×D59—24no—
209C22×D59—22no—
210C22×D59—22no—
211C22×D59—24no—
212C22×D59—22no—
213C22×D59—24no—
214C22×D59—24no—
215C22×D59—22no—
216C22×D59—22no—
217C22×D59—24no—
218C22×D59—24no—
219C22×D59—24no—
220C22×D59—22no—
221C22×D59—24no—
222C22×D59C2×C4214yes—
223C22×D59C2×C4⋊C414yes—
224C22×D59#11714yes—
225C22×D59C4×D418yes—
226C22×D59C4×Q818yes—
227C2×C4×C59—22no—
228C2×C4×C59—22no—
229C2×C4×C59—22no—
230C2×C4×C59—24no—
231C2×C4×C59—24no—
232C2×C4×C59—22no—
233C2×C4×C59—24no—
234C2×C4×C59—22no—
235C2×C4×C59—24no—
236C2×C4×C59—22no—
237C2×C4×C59—22no—
238C2×C4×C59—24no—
239C2×C4×C59—24no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—22no—
243C2×C4×C59—22no—
244C2×C4×C59—24no—
245C2×C4×C59—24no—
246C2×C4×C59—22no—
247C2×C4×C59—24no—
248C2×C4×C59—24no—
249C2×C4×C59—24no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59C2×C4214yes—
255C2×C4×C59C2×C4⋊C414yes—
256C2×C4×C59C4×D414yes—
257C2×C4×C59C4×D418yes—
258C2×Dic59—22no—
259C2×Dic59—22no—
260C2×Dic59—22no—
261C2×Dic59—24no—
262C2×Dic59—22no—
263C2×Dic59—24no—
264C2×Dic59—24no—
265C2×Dic59—24no—
266C2×Dic59—22no—
267C2×Dic59—24no—
268C2×Dic59—24no—
269C2×Dic59—22no—
270C2×Dic59—24no—
271C2×Dic59—24no—
272C2×Dic59—24no—
273C2×Dic59—22no—
274C2×Dic59—24no—
275C2×Dic59—42no—
276C2×Dic59—42no—
277C2×Dic59—42no—
278C2×Dic59—42no—
279C2×Dic59—42no—
280C2×Dic59—42no—
281C2×Dic59—42no—
282C2×Dic59—42no—
283C2×Dic59—42no—
284C2×Dic59—42no—
285C2×Dic59C2×C4214yes—
286C2×Dic59C2×C4⋊C414yes—
287C4×D59—416no—
288C4×D59—432no—
289#13814—591nomaximal, Sylow
290C22×C59C22×C4211yescharacteristic
291C22×C59C22×C4⋊C411yescharacteristic
292C22×C59C2×#11711yescharacteristic
293C22×C59C2×C4×D412yes—
294C22×C59C2×C4×D411yescharacteristic
295C22×C59C2×C4×D412yes—
296C22×C59C2×C4×Q812yes—
297C22×C59C4×#4111yescharacteristic
298C22×C59C4×#4112yes—
299C22×C59#51812yes—
300C22×C59#51811yescharacteristic
301C22×C59#52011yescharacteristic
302C22×C59#52012yes—
303C22×C59D4211yescharacteristic
304C22×C59#54612yes—
305C22×C59#54612yes—
306C22×C59#54711yescharacteristic
307C22×C59D4×Q811yescharacteristic
308C22×C59#55112yes—
309C22×C59#55112yes—
310C22×C59#55212yes—
311C22×C59#55411yescharacteristic
312C22×C59#55412yes—
313C2×D59—24no—
314C2×D59—24no—
315C2×D59—24no—
316C2×D59—24no—
317C2×D59—28no—
318C2×D59—28no—
319C2×D59—28no—
320C2×D59—28no—
321C2×D59—24no—
322C2×D59—24no—
323C2×D59C4×C4⋊C418yescomplemented
324C4×C59—24no—
325C4×C59—24no—
326C4×C59—28no—
327C4×C59—24no—
328C4×C59—44no—
329Dic59—24no—
330Dic59—24no—
331Dic59—42no—
332Dic59—44no—
333Dic59—44no—
334C2×#385—592no—
335C2×C4×C4⋊C4D5911yescharacteristic, complemented
336C2×C4×C22⋊C4—591no—
337C2×C4×C22⋊C4—592no—
338C22×#95—591no—
339#1436—592no—
340#1436—592no—
341C4⋊#95—591no—
342#1434—591no—
343C22⋊#95—591no—
344C4×#95—591no—
345C2×C59C2×C4×C4⋊C411yescharacteristic
346C2×C59C42×D411yescharacteristic
347C2×C59#227511yescharacteristic
348C2×C59#234211yescharacteristic
349C2×C59#234311yescharacteristic
350C2×C59D4×C4⋊C411yescharacteristic
351C2×C59#234911yescharacteristic
352C2×C59#235812yes—
353C2×C59#235912yes—
354C2×C59#236012yes—
355C2×C59#236812yes—
356D59—28no—
357C24×C4—591no—
358C24×C4—592no—
359C22×C4⋊C4—592no—
360C22×C4⋊C4C2×D5912yes—
361C22×C22⋊C4—591no—
362C22×C22⋊C4—591no—
363C22×C22⋊C4—592no—
364C22×C42—591no—
365C22×C42—592no—
366C22×C42C2×D5912yes—
367C22×C42C2×D5911yescharacteristic
368#385—5916no—
369C4×C4⋊C4—24no—
370C4×C22⋊C4—598no—
371C4×C22⋊C4—1188no—
372C2×#95—592no—
373C2×#95—592no—
374C2×#95—591no—
375C2×#95—591no—
376C2×#95—591no—
377C2×#95—591no—
378C2×#95—592no—
379C2×#95—592no—
380C2×#95—592no—
381C2×#95—592no—
382C2×#95—1184no—
383C2×#95C2×D5911yescharacteristic
384C2×#95C2×D5911yescharacteristic
385C59#1381411yescharacteristic, complemented, Sylow
386C25—591no—
387C23×C4—591no—
388C23×C4—591no—
389C23×C4—592no—
390C23×C4—592no—
391C23×C4—591no—
392C23×C4—594no—
393C23×C4—598no—
394C23×C4—1184no—
395C23×C4—1184no—
396C23×C4—1184no—
397C23×C4—1182no—
398C23×C4—1184no—
399C23×C4—1182no—
400C23×C4—1184no—
401C23×C4—2362no—
402C23×C4—2362no—
403C23×C4—2362no—
404C23×C4C22×D5912yes—
405C23×C4C22×D5911yescharacteristic
406C23×C4C22×D5912yes—
407C23×C4C22×D5911yescharacteristic
408C23×C4C22×D5911yescharacteristic
409C2×C4⋊C4—24no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—598no—
412C2×C4⋊C4—2362no—
413C2×C4⋊C4—2362no—
414C2×C4⋊C4C4×D5918yescomplemented
415C2×C22⋊C4—594no—
416C2×C22⋊C4—594no—
417C2×C22⋊C4—598no—
418C2×C22⋊C4—594no—
419C2×C22⋊C4—594no—
420C2×C22⋊C4—598no—
421C2×C22⋊C4—1184no—
422C2×C22⋊C4—1184no—
423C2×C42—22no—
424C2×C42—22no—
425C2×C42—24no—
426C2×C42—24no—
427C2×C42—42no—
428C2×C42—594no—
429C2×C42—1184no—
430C2×C42—1184no—
431C2×C42—2362no—
432C2×C42—2362no—
433C2×C42C4×D5914yescomplemented
434#95—22no—
435#95—594no—
436#95—594no—
437#95—598no—
438#95—598no—
439#95—1184no—
440#95—1182no—
441#95—1184no—
442#95—1182no—
443#95—1184no—
444#95—2362no—
445#95C22⋊D5914yes—
446C24—592no—
447C24—594no—
448C24—592no—
449C24—592no—
450C24—594no—
451C24—1181no—
452C24—1182no—
453C24—1181no—
454C24—1181no—
455C24—1182no—
456C24—1181no—
457C24C23×D5911yescharacteristic
458C22×C4—22no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—592no—
478C22×C4—592no—
479C22×C4—594no—
480C22×C4—592no—
481C22×C4—592no—
482C22×C4—594no—
483C22×C4—592no—
484C22×C4—594no—
485C22×C4—1188no—
486C22×C4—11816no—
487C22×C4—1182no—
488C22×C4—1181no—
489C22×C4—1182no—
490C22×C4—1182no—
491C22×C4—1181no—
492C22×C4—1182no—
493C22×C4—1182no—
494C22×C4—1182no—
495C22×C4—1181no—
496C22×C4—1182no—
497C22×C4—1182no—
498C22×C4—1182no—
499C22×C4—1182no—
500C22×C4—1182no—
501C22×C4—1182no—
502C22×C4—1181no—
503C22×C4—1182no—
504C22×C4—1182no—
505C22×C4—1182no—
506C22×C4—1182no—
507C22×C4—1182no—
508C22×C4—1188no—
509C22×C4—11816no—
510C22×C4—2368no—
511C22×C4—2364no—
512C22×C4—2368no—
513C22×C4—2368no—
514C22×C4—2368no—
515C22×C4—2368no—
516C22×C4—2368no—
517C22×C4—2368no—
518C22×C4C2×C4×D5914yes—
519C22×C4C2×C4×D5912yes—
520C22×C4C2×C4×D5914yes—
521C22×C4C2×C4×D5912yes—
522C22×C4C2×C4×D5914yes—
523C22×C4C2×C4×D5912yes—
524C22×C4#1174568512yes—
525C22×C4#1174568514yes—
526C22×C4D4×D5912yes—
527C22×C4Q8×D5912yes—
528C22×C4C2×C22⋊D5912yes—
529C22×C4C2×C22⋊D5914yes—
530C4⋊C4—216no—
531C4⋊C4—2368no—
532C22⋊C4—5916no—
533C22⋊C4—5916no—
534C22⋊C4—11816no—
535C42—28no—
536C42—48no—
537C42—2364no—
538C42—2368no—
539C23—594no—
540C23—594no—
541C23—594no—
542C23—598no—
543C23—598no—
544C23—1182no—
545C23—1184no—
546C23—1184no—
547C23—1182no—
548C23—1182no—
549C23—1184no—
550C23—1184no—
551C23—1184no—
552C23—1182no—
553C23—1184no—
554C23—1182no—
555C23—1184no—
556C23—1182no—
557C23—1184no—
558C23—1184no—
559C23—1182no—
560C23—1182no—
561C23—1184no—
562C23C22×C4×D5911yescharacteristic
563C23C22×C4×D5912yes—
564C23C2×D4×D5911yescharacteristic
565C23C22×C22⋊D5911yescharacteristic
566C23C2×Q8×D5911yescharacteristic
567C23#41×D5912yes—
568C23C2×#1174568512yes—
569C23C2×#1174568511yescharacteristic
570C23#1427377211yescharacteristic
571C23#1427377312yes—
572C23#1427377511yescharacteristic
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—24no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—24no—
588C2×C4—22no—
589C2×C4—24no—
590C2×C4—24no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—594no—
601C2×C4—594no—
602C2×C4—1184no—
603C2×C4—1184no—
604C2×C4—1182no—
605C2×C4—1184no—
606C2×C4—1182no—
607C2×C4—1182no—
608C2×C4—1182no—
609C2×C4—1184no—
610C2×C4—1182no—
611C2×C4—1184no—
612C2×C4—1184no—
613C2×C4—1182no—
614C2×C4—1184no—
615C2×C4—1184no—
616C2×C4—1184no—
617C2×C4—1182no—
618C2×C4—1184no—
619C2×C4—23616no—
620C2×C4—23632no—
621C2×C4—2362no—
622C2×C4—2362no—
623C2×C4—2362no—
624C2×C4—2362no—
625C2×C4—2362no—
626C2×C4—2362no—
627C2×C4—2362no—
628C2×C4—2362no—
629C2×C4—2362no—
630C2×C4—2362no—
631C2×C4C42×D5914yes—
632C2×C4C4⋊C4×D5914yes—
633C2×C4C4×C22⋊D5914yes—
634C2×C4C4×C22⋊D5918yes—
635C22—598no—
636C22—1184no—
637C22—1184no—
638C22—1184no—
639C22—1184no—
640C22—1184no—
641C22—1184no—
642C22—1188no—
643C22—1188no—
644C22—1188no—
645C22—1188no—
646C22C2×C42×D5911yescharacteristic
647C22C2×C4⋊C4×D5911yescharacteristic
648C22#117×D5911yescharacteristic
649C22C4×D4×D5912yes—
650C22C2×C4×C22⋊D5911yescharacteristic
651C22C2×C4×C22⋊D5912yes—
652C22C4×Q8×D5912yes—
653C22C4×#1174568511yescharacteristic
654C22C4×#1174568512yes—
655C22#1683787412yes—
656C22#1683787611yescharacteristic
657C22#1683788311yescharacteristic
658C22#1683788412yes—
659C22D4×C22⋊D5911yescharacteristic
660C22#1683804012yes—
661C22#1683804812yes—
662C22#1683805311yescharacteristic
663C22Q8×C22⋊D5911yescharacteristic
664C22#1683807612yes—
665C22#1683808112yes—
666C22#1683809312yes—
667C22#1683810711yescharacteristic
668C22#1683811212yes—
669C4—24no—
670C4—24no—
671C4—24no—
672C4—28no—
673C4—44no—
674C4—1184no—
675C4—1184no—
676C4—2362no—
677C4—2364no—
678C4—2364no—
679C2—1188no—
680C2C4×C4⋊C4×D5911yescharacteristic
681C2C42×C22⋊D5911yescharacteristic
682C2#2142645611yescharacteristic
683C2#2142694611yescharacteristic
684C2#2142695911yescharacteristic
685C2C4⋊C4×C22⋊D5911yescharacteristic
686C2#2142700711yescharacteristic
687C2#2142707312yes—
688C2#2142709312yes—
689C2#2142709712yes—
690C2#2142718012yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC22×C59C22×C42
FittingC2×C4×C4⋊C4×C59C2
socle, cosocleC24×C59C24
prime radicalC24×D59C23
hypercenterC2×C4×C4⋊C4D59
hypocenterC59#13814
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
5. #21422329C2semidirect
6. #21422328C2semidirect
7. Dic59⋊#95C2semidirect
8. #21422323C2semidirect
10. #95×Dic59C2semidirect
11. C2×C4×C4⋊C4×C59C2semidirect
20. #16837273C4semidirect
22. C4×(C2×D59)⋊C4C4semidirect
60. C2×Dic59⋊C4C2×C4semidirect
73. C2×C4×Dic59C2×C4semidirect
80. C59⋊#95C2×C4semidirect
81. C59⋊#95C2×C4semidirect
82. C59⋊#95C2×C4semidirect
83. C59⋊#95C2×C4semidirect
91. C2×C4⋊C4×C59C2×C4semidirect
97. C2×C42×C59C2×C4semidirect
188. (C2×D59)⋊C4C42semidirect
189. (C2×D59)⋊C4C4⋊C4semidirect
323. C2×D59C4×C4⋊C4semidirect
335. C2×C4×C4⋊C4D59semidirect
385. C59#13814semidirect
414. C2×C4⋊C4C4×D59semidirect
433. C2×C42C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168372732
C2×C4×(C2×D59)⋊C42
C2×#95×D592
#214223292
#214223282
Dic59⋊#952
#214223232
(C2×D59)⋊#952
#95×Dic592
C2×C4×C4⋊C4×C592
#1381459