Finite Group Databasebeta

← #28510451

Subgroups — #28510451

Order 15104.

2118 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273683C211yesmaximal, characteristic
2C2×C4⋊C4×Dic59C211yesmaximal, characteristic, complemented
3C2×#16837253C211yesmaximal, characteristic, complemented
4C2×C22⋊C4×Dic59C212yesmaximal
5#21422350C211yesmaximal, characteristic, complemented
6#21422347C212yesmaximal, complemented
7#21422346C211yesmaximal, characteristic, complemented
8#21422341C211yesmaximal, characteristic
9#21422339C212yesmaximal
10#95×Dic59C212yesmaximal, complemented
11C59×#1439C211yesmaximal, characteristic
12C24×Dic59C2211yescharacteristic
13C2×#14273683—24no—
14C2×#14273683—24no—
15C2×#14273683C418yescomplemented
16C22×C4⋊Dic59C2211yescharacteristic
17C22×Dic59⋊C4C2212yes—
18C22×Dic59⋊C4C2211yescharacteristic
19C22×Dic59⋊C4C2211yescharacteristic
20C22×C22⋊Dic59C2212yes—
21C22×C22⋊Dic59C2211yescharacteristic
22C22×C4×Dic59C2212yes—
23C22×C4×Dic59C2212yes—
24C22×C4×Dic59C2211yescharacteristic
25C22×C4×Dic59C2211yescharacteristic
26C4⋊C4×Dic59—24no—
27#16837253—24no—
28C22⋊C4×Dic59—28no—
29C2×C59⋊#95C2212yes—
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2211yescharacteristic
33C2×C59⋊#95C2212yes—
34C2×C59⋊#95C2212yes—
35C2×C59⋊#95C2212yes—
36C22×C4⋊C4×C59C2211yescharacteristic
37C22×C22⋊C4×C59C2212yes—
38C22×C22⋊C4×C59C2211yescharacteristic
39C2×#95×C59C2212yes—
40C2×#95×C59C2211yescharacteristic
41C23×Dic59—22no—
42C23×Dic59—22no—
43C23×Dic59—22no—
44C23×Dic59—22no—
45C23×Dic59C2×C414yes—
46C23×Dic59D414yes—
47C23×Dic59Q814yes—
48C23×Dic59C2311yescharacteristic
49C23×Dic59C2312yes—
50C23×Dic59C2312yes—
51C23×Dic59C2311yescharacteristic
52C23×Dic59C2311yescharacteristic
53C23×Dic59C2311yescharacteristic
54#14273683—232no—
55C2×C4⋊Dic59—22no—
56C2×C4⋊Dic59—24no—
57C2×Dic59⋊C4—22no—
58C2×Dic59⋊C4—22no—
59C2×Dic59⋊C4—24no—
60C2×Dic59⋊C4—24no—
61C2×Dic59⋊C4—22no—
62C2×Dic59⋊C4—22no—
63C2×Dic59⋊C4—24no—
64C2×Dic59⋊C4C2×C414yes—
65C2×Dic59⋊C4C2×C414yes—
66C2×C22⋊Dic59—24no—
67C2×C22⋊Dic59—22no—
68C2×C22⋊Dic59—22no—
69C2×C22⋊Dic59—24no—
70C2×C22⋊Dic59—24no—
71C2×C22⋊Dic59C2×C414yes—
72C2×C4×Dic59—22no—
73C2×C4×Dic59—22no—
74C2×C4×Dic59—24no—
75C2×C4×Dic59—24no—
76C2×C4×Dic59—24no—
77C2×C4×Dic59—24no—
78C2×C4×Dic59—24no—
79C2×C4×Dic59—24no—
80C2×C4×Dic59C2×C414yes—
81C2×C4×Dic59C2×C414yes—
82C2×C4×Dic59D414yes—
83C2×C4×Dic59D414yes—
84C59⋊#95—22no—
85C59⋊#95—24no—
86C59⋊#95—24no—
87C59⋊#95—24no—
88C59⋊#95—24no—
89C59⋊#95—24no—
90C59⋊#95—24no—
91C25×C59C2311yescharacteristic
92C23×C4×C59C2311yescharacteristic
93C23×C4×C59C2312yes—
94C23×C4×C59C2312yes—
95C23×C4×C59C2311yescharacteristic
96C2×C4⋊C4×C59—22no—
97C2×C4⋊C4×C59—24no—
98C2×C22⋊C4×C59—24no—
99C2×C22⋊C4×C59—22no—
100C2×C22⋊C4×C59—22no—
101C2×C22⋊C4×C59—24no—
102C2×C22⋊C4×C59—24no—
103C2×C22⋊C4×C59C2×C414yes—
104#95×C59—22no—
105#95×C59—24no—
106C24×C59—21no—
107C24×C59—21no—
108C24×C59—22no—
109C24×C59—22no—
110C24×C59—22no—
111C24×C59—22no—
112C24×C59—21no—
113C24×C59—21no—
114C24×C59C22×C412yes—
115C24×C59C2×D412yes—
116C24×C59C2×Q812yes—
117C24×C59C2411yescharacteristic
118C22×C4×C59—22no—
119C22×C4×C59—22no—
120C22×C4×C59—22no—
121C22×C4×C59—22no—
122C22×C4×C59—22no—
123C22×C4×C59—21no—
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×C59—22no—
132C22×C4×C59—22no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59C22×C412yes—
137C22×C4×C59C22×C412yes—
138C22×C4×C59C2×D412yes—
139C22×C4×C59C2×D412yes—
140C22×C4×C59#4114yes—
141C22×C4×C59#4114yes—
142C22×Dic59—21no—
143C22×Dic59—21no—
144C22×Dic59—22no—
145C22×Dic59—22no—
146C22×Dic59—21no—
147C22×Dic59—21no—
148C22×Dic59—28no—
149C22×Dic59—28no—
150C22×Dic59—28no—
151C22×Dic59—28no—
152C22×Dic59—28no—
153C22×Dic59—28no—
154C22×Dic59—22no—
155C22×Dic59—22no—
156C22×Dic59—22no—
157C22×Dic59—22no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
163C22×Dic59—22no—
164C22×Dic59—22no—
165C22×Dic59—22no—
166C22×Dic59—22no—
167C22×Dic59—22no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59C4⋊C4116yescomplemented
171C22×Dic59C22×C412yes—
172C22×Dic59C22×C412yes—
173C22×Dic59C22×C412yes—
174C22×Dic59C22×C412yes—
175C22×Dic59C2×D412yes—
176C22×Dic59C2×D412yes—
177C22×Dic59C2×D412yes—
178C22×Dic59C2×D412yes—
179C22×Dic59C2×D412yes—
180C22×Dic59C2×D412yes—
181C22×Dic59C2×Q812yes—
182C22×Dic59C2×Q812yes—
183C22×Dic59#4114yes—
184C22×Dic59#4114yes—
185C22×Dic59#4112yes—
186C22×Dic59#4112yes—
187C4⋊C4×C59—28no—
188C22⋊C4×C59—216no—
189C22⋊C4×C59—28no—
190C22⋊Dic59—216no—
191C22⋊Dic59—28no—
192C4⋊Dic59—28no—
193Dic59⋊C4—216no—
194Dic59⋊C4—28no—
195Dic59⋊C4—28no—
196C4×Dic59—28no—
197C4×Dic59—48no—
198C4×Dic59—48no—
199C4×Dic59C22⋊C4116yescomplemented
200C23×C59—22no—
201C23×C59—22no—
202C23×C59—24no—
203C23×C59—24no—
204C23×C59—22no—
205C23×C59—22no—
206C23×C59—22no—
207C23×C59—22no—
208C23×C59—24no—
209C23×C59—24no—
210C23×C59—24no—
211C23×C59—24no—
212C23×C59—41no—
213C23×C59—41no—
214C23×C59—42no—
215C23×C59—42no—
216C23×C59—42no—
217C23×C59—42no—
218C23×C59—42no—
219C23×C59—42no—
220C23×C59—41no—
221C23×C59—41no—
222C23×C59C2×C4⋊C414yes—
223C23×C59C23×C411yescharacteristic
224C23×C59C22×D411yescharacteristic
225C23×C59C22×D411yescharacteristic
226C23×C59C22×D411yescharacteristic
227C23×C59C22×Q811yescharacteristic
228C23×C59C2×#4111yescharacteristic
229C23×C59C2×#4111yescharacteristic
230C23×C59C2×#4112yes—
231C23×C59C2×#4112yes—
232C23×C59C2×#4112yes—
233C23×C59C2×#4112yes—
234C2×C4×C59—24no—
235C2×C4×C59—22no—
236C2×C4×C59—22no—
237C2×C4×C59—24no—
238C2×C4×C59—22no—
239C2×C4×C59—24no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—24no—
245C2×C4×C59—24no—
246C2×C4×C59—42no—
247C2×C4×C59—42no—
248C2×C4×C59—42no—
249C2×C4×C59—42no—
250C2×C4×C59—42no—
251C2×C4×C59—42no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59C2×C22⋊C414yes—
258C2×Dic59—22no—
259C2×Dic59—22no—
260C2×Dic59—24no—
261C2×Dic59—22no—
262C2×Dic59—22no—
263C2×Dic59—22no—
264C2×Dic59—22no—
265C2×Dic59—24no—
266C2×Dic59—22no—
267C2×Dic59—22no—
268C2×Dic59—232no—
269C2×Dic59—22no—
270C2×Dic59—24no—
271C2×Dic59—24no—
272C2×Dic59—24no—
273C2×Dic59—24no—
274C2×Dic59—24no—
275C2×Dic59—24no—
276C2×Dic59—24no—
277C2×Dic59—42no—
278C2×Dic59—42no—
279C2×Dic59—42no—
280C2×Dic59—41no—
281C2×Dic59—42no—
282C2×Dic59—41no—
283C2×Dic59—42no—
284C2×Dic59—42no—
285C2×Dic59—42no—
286C2×Dic59—42no—
287C2×Dic59—42no—
288C2×Dic59C2×C22⋊C414yes—
289C2×Dic59C2×C22⋊C414yes—
290C2×Dic59C2×C4⋊C414yes—
291C2×Dic59C2×C4⋊C414yes—
292C2×Dic59#11714yes—
293C2×Dic59#12114yes—
294C2×Dic59#12114yes—
295C2×Dic59C22⋊Q814yes—
296C2×Dic59C22⋊Q814yes—
297#13852—591nomaximal, Sylow
298C22×C59—24no—
299C22×C59—28no—
300C22×C59—42no—
301C22×C59—42no—
302C22×C59—44no—
303C22×C59—42no—
304C22×C59—42no—
305C22×C59—44no—
306C22×C59—42no—
307C22×C59—42no—
308C22×C59—44no—
309C22×C59C22×C22⋊C411yescharacteristic
310C22×C59C22×C4⋊C411yescharacteristic
311C22×C59C2×#11711yescharacteristic
312C22×C59C4×#4112yes—
313C22×C59C4×#4112yes—
314C22×C59C2×#12111yescharacteristic
315C22×C59C2×#12111yescharacteristic
316C22×C59C2×C22⋊Q811yescharacteristic
317C22×C59C2×C22⋊Q811yescharacteristic
318C22×C59#52512yes—
319C22×C59#52511yescharacteristic
320C22×C59#52512yes—
321C22×C59#52511yescharacteristic
322C22×C59#52512yes—
323C22×C59#52912yes—
324C22×C59#52912yes—
325C22×C59#52912yes—
326C22×C59#52912yes—
327C22×C59#53212yes—
328C22×C59#53211yescharacteristic
329C22×C59#53211yescharacteristic
330C22×C59#53312yes—
331C22×C59#53312yes—
332C4×C59—24no—
333C4×C59—44no—
334C4×C59—44no—
335C4×C59—42no—
336Dic59—24no—
337Dic59—24no—
338Dic59—44no—
339Dic59—44no—
340Dic59—42no—
341Dic59#38018yes—
342C22×#117—591no—
343C2×C4×C4⋊C4—591no—
344C2×C4×C4⋊C4—591no—
345C2×C4×C22⋊C4—592no—
346#1441—592no—
347#1441—591no—
348#1441—591no—
349#1439—592no—
350#1439—591no—
351#1439D5911yescharacteristic
352C4×#95—592no—
353C2×C59—44no—
354C2×C59C2×#38011yescharacteristic
355C2×C59#229612yes—
356C2×C59#229711yescharacteristic
357C2×C59#229711yescharacteristic
358C2×C59#229812yes—
359C2×C59#239211yescharacteristic
360C2×C59#239211yescharacteristic
361C2×C59#239212yes—
362C2×C59#239611yescharacteristic
363C2×C59#239611yescharacteristic
364C2×C59#239612yes—
365C24×C4—591no—
366C2×#117—598no—
367C2×#117—1184no—
368C2×#117—1184no—
369C22×C4⋊C4—591no—
370C22×C4⋊C4—591no—
371C22×C4⋊C4—592no—
372C22×C4⋊C4—591no—
373C22×C4⋊C4C2×D5911yescharacteristic
374C22×C22⋊C4—591no—
375C22×C22⋊C4—592no—
376C22×C22⋊C4C2×D5912yes—
377C22×C22⋊C4C2×D5911yescharacteristic
378C22×C42—591no—
379C22×C42—591no—
380C22×C42—592no—
381C22×C42—592no—
382C4×C4⋊C4—1184no—
383C4×C4⋊C4—1184no—
384C4×C22⋊C4—1188no—
385C2×#95—592no—
386C2×#95—592no—
387C2×#95—592no—
388C2×#95—592no—
389C2×#95—591no—
390C2×#95—592no—
391C2×#95—592no—
392C2×#95C2×D5912yes—
393C2×#95C2×D5911yescharacteristic
394C59#1385211yescharacteristic, complemented, Sylow
395C25C22×D5911yescharacteristic
396C23×C4—591no—
397C23×C4—594no—
398C23×C4—594no—
399C23×C4—594no—
400C23×C4—591no—
401C23×C4—591no—
402C23×C4—591no—
403C23×C4—592no—
404C23×C4—592no—
405C23×C4—1182no—
406C23×C4—1182no—
407C23×C4—1182no—
408C23×C4—1182no—
409C23×C4C22×D5911yescharacteristic
410C23×C4C22×D5912yes—
411C23×C4C22×D5912yes—
412C23×C4C22×D5911yescharacteristic
413#117—11832no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—24no—
416C2×C4⋊C4—594no—
417C2×C4⋊C4—594no—
418C2×C4⋊C4—1182no—
419C2×C4⋊C4—1182no—
420C2×C4⋊C4—1184no—
421C2×C4⋊C4—1184no—
422C2×C4⋊C4—1184no—
423C2×C4⋊C4—1182no—
424C2×C4⋊C4—1182no—
425C2×C4⋊C4—1182no—
426C2×C4⋊C4—1184no—
427C2×C22⋊C4—24no—
428C2×C22⋊C4—22no—
429C2×C22⋊C4—22no—
430C2×C22⋊C4—24no—
431C2×C22⋊C4—24no—
432C2×C22⋊C4—594no—
433C2×C22⋊C4—1182no—
434C2×C22⋊C4—1182no—
435C2×C22⋊C4—1184no—
436C2×C22⋊C4—1184no—
437C2×C22⋊C4—1184no—
438C2×C22⋊C4C4×D5914yes—
439C2×C42—594no—
440C2×C42—594no—
441C2×C42—594no—
442C2×C42—594no—
443C2×C42—1182no—
444C2×C42—1182no—
445C2×C42—1184no—
446C2×C42—1184no—
447C2×C42—1184no—
448C2×C42—1184no—
449C2×C42—1184no—
450C2×C42—1184no—
451#95—22no—
452#95—24no—
453#95—1184no—
454#95—1184no—
455#95—1184no—
456#95—1184no—
457#95—1184no—
458#95—1182no—
459#95—1184no—
460C24—21no—
461C24—21no—
462C24—22no—
463C24—22no—
464C24—21no—
465C24—21no—
466C24—22no—
467C24—22no—
468C24C2×C4×D5912yes—
469C24D4×D5912yes—
470C24Q8×D5912yes—
471C24C23×D5911yescharacteristic
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—592no—
491C22×C4—592no—
492C22×C4—592no—
493C22×C4—592no—
494C22×C4—592no—
495C22×C4—592no—
496C22×C4—592no—
497C22×C4—5916no—
498C22×C4—592no—
499C22×C4—592no—
500C22×C4—592no—
501C22×C4—592no—
502C22×C4—592no—
503C22×C4—592no—
504C22×C4—592no—
505C22×C4—594no—
506C22×C4—594no—
507C22×C4—1188no—
508C22×C4—1188no—
509C22×C4—1188no—
510C22×C4—1188no—
511C22×C4—1188no—
512C22×C4—1188no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—1182no—
516C22×C4—1181no—
517C22×C4—1181no—
518C22×C4—1182no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—1182no—
522C22×C4—1182no—
523C22×C4—1181no—
524C22×C4—1181no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1182no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1182no—
531C22×C4—1182no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1182no—
535C22×C4C2×C4×D5912yes—
536C22×C4C2×C4×D5912yes—
537C22×C4D4×D5912yes—
538C22×C4D4×D5912yes—
539C22×C4#1174568714yes—
540C22×C4#1174568714yes—
541C4⋊C4—28no—
542C4⋊C4—1188no—
543C4⋊C4—11816no—
544C4⋊C4—1188no—
545C4⋊C4—1188no—
546C22⋊C4—216no—
547C22⋊C4—28no—
548C22⋊C4—1188no—
549C22⋊C4—11816no—
550C42—5916no—
551C42—1188no—
552C42—2368no—
553C42—2368no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—22no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—22no—
563C23—22no—
564C23—24no—
565C23—24no—
566C23—41no—
567C23—41no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—41no—
575C23—41no—
576C23C4⋊C4×D5914yes—
577C23C22×C4×D5911yescharacteristic
578C23C2×D4×D5911yescharacteristic
579C23C2×D4×D5911yescharacteristic
580C23C2×D4×D5911yescharacteristic
581C23C2×Q8×D5911yescharacteristic
582C23#41×D5911yescharacteristic
583C23#41×D5911yescharacteristic
584C23#41×D5912yes—
585C23#41×D5912yes—
586C23C2×#1174568712yes—
587C23C2×#1174568712yes—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—24no—
593C2×C4—24no—
594C2×C4—24no—
595C2×C4—24no—
596C2×C4—24no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—594no—
612C2×C4—594no—
613C2×C4—594no—
614C2×C4—594no—
615C2×C4—594no—
616C2×C4—594no—
617C2×C4—594no—
618C2×C4—594no—
619C2×C4—594no—
620C2×C4—11832no—
621C2×C4—1182no—
622C2×C4—1182no—
623C2×C4—1182no—
624C2×C4—1182no—
625C2×C4—1184no—
626C2×C4—1182no—
627C2×C4—1182no—
628C2×C4—1182no—
629C2×C4—1182no—
630C2×C4—1184no—
631C2×C4—1184no—
632C2×C4—1184no—
633C2×C4—1184no—
634C2×C4—1184no—
635C2×C4—1184no—
636C2×C4—1184no—
637C2×C4—1182no—
638C2×C4—1184no—
639C2×C4—2362no—
640C2×C4—2362no—
641C2×C4—2362no—
642C2×C4—2361no—
643C2×C4—2362no—
644C2×C4—2361no—
645C2×C4—2362no—
646C2×C4—2362no—
647C2×C4—2362no—
648C2×C4—2362no—
649C2×C4—2362no—
650C2×C4C22⋊C4×D5914yes—
651C22—24no—
652C22—28no—
653C22—42no—
654C22—42no—
655C22—44no—
656C22—42no—
657C22—42no—
658C22—44no—
659C22—42no—
660C22—42no—
661C22—44no—
662C22C2×C22⋊C4×D5911yescharacteristic
663C22C2×C4⋊C4×D5911yescharacteristic
664C22#117×D5911yescharacteristic
665C22C4×#1174568712yes—
666C22C4×#1174568712yes—
667C22#121×D5911yescharacteristic
668C22#121×D5911yescharacteristic
669C22C22⋊Q8×D5911yescharacteristic
670C22C22⋊Q8×D5911yescharacteristic
671C22#1683790812yes—
672C22#1683790811yescharacteristic
673C22#1683791012yes—
674C22#1683791011yescharacteristic
675C22#1683791212yes—
676C22#1683792912yes—
677C22#1683793112yes—
678C22#1683793312yes—
679C22#1683793512yes—
680C22#1683794712yes—
681C22#1683795011yescharacteristic
682C22#1683795111yescharacteristic
683C22#1683795412yes—
684C22#1683795412yes—
685C4—24no—
686C4—44no—
687C4—44no—
688C4—42no—
689C4—598no—
690C4—1184no—
691C4—1184no—
692C4—2364no—
693C4—2364no—
694C4—2362no—
695C2—44no—
696C2#380×D5911yescharacteristic
697C2#2142657512yes—
698C2#2142658111yescharacteristic
699C2#2142658311yescharacteristic
700C2#2142659012yes—
701C2#2142733111yescharacteristic
702C2#2142733311yescharacteristic
703C2#2142733912yes—
704C2#2142736311yescharacteristic
705C2#2142736511yescharacteristic
706C2#2142737112yes—
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC59×#1439C2
socle, cosocleC24×C59C24
prime radicalC25×C59C23
hypercenter#1439D59
hypocenterC59#13852
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
2. C2×C4⋊C4×Dic59C2semidirect
3. C2×#16837253C2semidirect
5. #21422350C2semidirect
6. #21422347C2semidirect
7. #21422346C2semidirect
10. #95×Dic59C2semidirect
15. C2×#14273683C4semidirect
170. C22×Dic59C4⋊C4semidirect
199. C4×Dic59C22⋊C4semidirect
394. C59#13852semidirect

Maximal subgroups

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

subgroupindex
C22×#142736832
C2×C4⋊C4×Dic592
C2×#168372532
C2×C22⋊C4×Dic592
#214223502
#214223472
#214223462
#214223412
#214223392
#95×Dic592
C59×#14392
#1385259