Finite Group Databasebeta

← #28520601

Subgroups — #28520601

Order 15104.

2242 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837321C211yesmaximal, characteristic, complemented
2C2×#16837275C211yesmaximal, characteristic
3C2×#16837260C212yesmaximal
4C22×C59⋊#95C211yesmaximal, characteristic
5#21422367C211yesmaximal, characteristic, complemented
6#21422359C212yesmaximal, complemented
7#21422359C211yesmaximal, characteristic, complemented
8#21422346C212yesmaximal, complemented
9#21422346C211yesmaximal, characteristic, complemented
10#21422318C212yesmaximal
11C22×C22⋊Q8×C59C211yesmaximal, characteristic
12C24×Dic59C2212yes—
13C22×Dic59⋊C4C2211yescharacteristic
14C22×Dic59⋊C4C2212yes—
15C22×Dic59⋊C4C2212yes—
16C22×Dic59⋊C4C2211yescharacteristic
17C22×C22⋊Dic59C2211yescharacteristic
18C22×C22⋊Dic59C2211yescharacteristic
19#16837321—24no—
20#16837275—24no—
21#16837260—28no—
22C2×C59⋊#95—24no—
23C2×C59⋊#95C2211yescharacteristic
24C2×C59⋊#95C2212yes—
25C2×C59⋊#95C2212yes—
26C2×C59⋊#95C2212yes—
27C2×C59⋊#95C2211yescharacteristic
28C2×C59⋊#95C2212yes—
29C2×C59⋊#95C2212yes—
30C2×C59⋊#95C2211yescharacteristic
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C2×C59⋊#95C2211yescharacteristic
34C23×Q8×C59C2211yescharacteristic
35C24×C4×C59C2211yescharacteristic
36C2×C22⋊Q8×C59—24no—
37C2×C22⋊Q8×C59—28no—
38C22×C4⋊C4×C59C2211yescharacteristic
39C22×C4⋊C4×C59C2212yes—
40C22×C22⋊C4×C59C2212yes—
41C23×Dic59—24no—
42C23×Dic59—24no—
43C23×Dic59—24no—
44C23×Dic59—24no—
45C23×Dic59—42no—
46C23×Dic59—42no—
47C23×Dic59Q818yescomplemented
48C23×Dic59C2311yescharacteristic
49C23×Dic59C2311yescharacteristic
50C23×Dic59C2312yes—
51C23×Dic59C2311yescharacteristic
52C23×Dic59C2311yescharacteristic
53C23×Dic59C2312yes—
54C2×Dic59⋊C4—24no—
55C2×Dic59⋊C4—24no—
56C2×Dic59⋊C4—22no—
57C2×Dic59⋊C4—22no—
58C2×Dic59⋊C4—22no—
59C2×Dic59⋊C4—22no—
60C2×Dic59⋊C4—24no—
61C2×Dic59⋊C4—24no—
62C2×Dic59⋊C4—42no—
63C2×Dic59⋊C4—42no—
64C2×Dic59⋊C4—42no—
65C2×C22⋊Dic59—22no—
66C2×C22⋊Dic59—22no—
67C2×C22⋊Dic59—24no—
68C2×C22⋊Dic59—22no—
69C2×C22⋊Dic59Q814yescomplemented
70C59⋊#95—22no—
71C59⋊#95—24no—
72C59⋊#95—24no—
73C59⋊#95—22no—
74C59⋊#95—22no—
75C59⋊#95—24no—
76C59⋊#95—24no—
77C59⋊#95—24no—
78C59⋊#95—42no—
79C59⋊#95—42no—
80C59⋊#95D414yes—
81C25×C59C2311yescharacteristic
82C22×Q8×C59—24no—
83C22×Q8×C59—22no—
84C22×Q8×C59—22no—
85C22×Q8×C59—22no—
86C22×Q8×C59—42no—
87C23×C4×C59—24no—
88C23×C4×C59—22no—
89C23×C4×C59—22no—
90C23×C4×C59—42no—
91C23×C4×C59D414yes—
92C23×C4×C59C2312yes—
93C23×C4×C59C2312yes—
94C23×C4×C59C2311yescharacteristic
95C23×C4×C59C2311yescharacteristic
96C22⋊Q8×C59—232no—
97C2×C4⋊C4×C59—24no—
98C2×C4⋊C4×C59—22no—
99C2×C4⋊C4×C59—24no—
100C2×C4⋊C4×C59—24no—
101C2×C4⋊C4×C59—24no—
102C2×C22⋊C4×C59—24no—
103C2×C22⋊C4×C59—24no—
104C2×C22⋊C4×C59D418yes—
105C24×C59—21no—
106C24×C59—21no—
107C24×C59—22no—
108C24×C59—22no—
109C24×C59—21no—
110C24×C59—21no—
111C24×C59C2×D412yes—
112C24×C59C2×D414yes—
113C24×C59C2×Q812yes—
114C24×C59C2×Q814yes—
115C24×C59#4112yes—
116C24×C59C2411yescharacteristic
117C2×Q8×C59—28no—
118C2×Q8×C59—48no—
119C2×Q8×C59—48no—
120C2×Q8×C59—44no—
121C2×Q8×C59—44no—
122C22×C4×C59—22no—
123C22×C4×C59—22no—
124C22×C4×C59—28no—
125C22×C4×C59—22no—
126C22×C4×C59—22no—
127C22×C4×C59—22no—
128C22×C4×C59—22no—
129C22×C4×C59—22no—
130C22×C4×C59—21no—
131C22×C4×C59—22no—
132C22×C4×C59—21no—
133C22×C4×C59—22no—
134C22×C4×C59—22no—
135C22×C4×C59—22no—
136C22×C4×C59—22no—
137C22×C4×C59—22no—
138C22×C4×C59—22no—
139C22×C4×C59—22no—
140C22×C4×C59—22no—
141C22×C4×C59—28no—
142C22×C4×C59—44no—
143C22×C4×C59—48no—
144C22×C4×C59—48no—
145C22×C4×C59C2×D414yes—
146C22×C4×C59C2×D414yes—
147C22×C4×C59C2×D412yes—
148C22×C4×C59C2×D412yes—
149C22×C4×C59C2×D412yes—
150C22×C4×C59#4112yes—
151C22×Dic59—22no—
152C22×Dic59—22no—
153C22×Dic59—22no—
154C22×Dic59—22no—
155C22×Dic59—216no—
156C22×Dic59—21no—
157C22×Dic59—22no—
158C22×Dic59—22no—
159C22×Dic59—21no—
160C22×Dic59—21no—
161C22×Dic59—22no—
162C22×Dic59—21no—
163C22×Dic59—21no—
164C22×Dic59—21no—
165C22×Dic59—22no—
166C22×Dic59—22no—
167C22×Dic59—21no—
168C22×Dic59—22no—
169C22×Dic59—22no—
170C22×Dic59—22no—
171C22×Dic59—21no—
172C22×Dic59—216no—
173C22×Dic59—21no—
174C22×Dic59—22no—
175C22×Dic59—22no—
176C22×Dic59—21no—
177C22×Dic59—21no—
178C22×Dic59—21no—
179C22×Dic59—22no—
180C22×Dic59—22no—
181C22×Dic59—21no—
182C22×Dic59—21no—
183C22×Dic59—48no—
184C22×Dic59—48no—
185C22×Dic59—48no—
186C22×Dic59—48no—
187C22×Dic59—48no—
188C22×Dic59C2×D414yes—
189C22×Dic59C2×Q812yes—
190C22×Dic59C2×Q812yes—
191C22×Dic59C2×Q814yes—
192C22×Dic59C2×Q814yes—
193C22×Dic59#4114yes—
194C4⋊C4×C59—28no—
195C4⋊C4×C59—216no—
196C22⋊C4×C59—216no—
197C22⋊Dic59—28no—
198C22⋊Dic59—44no—
199Dic59⋊C4—48no—
200Dic59⋊C4—48no—
201Dic59⋊C4—44no—
202Dic59⋊C4—44no—
203C23×C59—22no—
204C23×C59—24no—
205C23×C59—22no—
206C23×C59—24no—
207C23×C59—22no—
208C23×C59—22no—
209C23×C59—24no—
210C23×C59—24no—
211C23×C59—24no—
212C23×C59—22no—
213C23×C59—24no—
214C23×C59—24no—
215C23×C59—24no—
216C23×C59—22no—
217C23×C59—24no—
218C23×C59—22no—
219C23×C59—24no—
220C23×C59—22no—
221C23×C59#12014yes—
222C23×C59C22⋊Q814yes—
223C23×C59C22⋊Q818yes—
224C23×C59C4⋊Q814yes—
225C23×C59C4⋊Q818yes—
226C23×C59C22×D411yescharacteristic
227C23×C59C22×D411yescharacteristic
228C23×C59C22×D412yes—
229C23×C59C22×Q812yes—
230C23×C59C22×Q811yescharacteristic
231C23×C59C2×#4112yes—
232C23×C59C2×#4111yescharacteristic
233C23×C59C2×#4111yescharacteristic
234C23×C59H(5,𝔽2)12yes—
235C23×C59H(5,𝔽2)11yescharacteristic
236C23×C592−1+411yescharacteristic
237Q8×C59—416no—
238C2×C4×C59—22no—
239C2×C4×C59—22no—
240C2×C4×C59—24no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—24no—
248C2×C4×C59—24no—
249C2×C4×C59—24no—
250C2×C4×C59—24no—
251C2×C4×C59—416no—
252C2×C4×C59—42no—
253C2×C4×C59—42no—
254C2×C4×C59—42no—
255C2×C4×C59—42no—
256C2×C4×C59—42no—
257C2×C4×C59—42no—
258C2×C4×C59—42no—
259C2×C4×C59—42no—
260C2×C4×C59—42no—
261C2×C4×C59—42no—
262C2×C4×C59#12114yes—
263C2×Dic59—24no—
264C2×Dic59—24no—
265C2×Dic59—24no—
266C2×Dic59—24no—
267C2×Dic59—24no—
268C2×Dic59—24no—
269C2×Dic59—22no—
270C2×Dic59—22no—
271C2×Dic59—24no—
272C2×Dic59—24no—
273C2×Dic59—24no—
274C2×Dic59—22no—
275C2×Dic59—24no—
276C2×Dic59—22no—
277C2×Dic59—432no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—42no—
283C2×Dic59—41no—
284C2×Dic59—42no—
285C2×Dic59—42no—
286C2×Dic59—42no—
287C2×Dic59—42no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—41no—
295C2×Dic59—42no—
296C2×Dic59—42no—
297C2×Dic59—42no—
298C2×Dic59—42no—
299C2×Dic59C22⋊Q818yescomplemented
300#14758—591nomaximal, Sylow
301C22×C59—24no—
302C22×C59—24no—
303C22×C59—24no—
304C22×C59—24no—
305C22×C59—24no—
306C22×C59—24no—
307C22×C59—28no—
308C22×C59—28no—
309C22×C59—28no—
310C22×C59—28no—
311C22×C59#39518yescomplemented
312C22×C59C2×#12011yescharacteristic
313C22×C59C2×#12111yescharacteristic
314C22×C59C2×C22⋊Q812yes—
315C22×C59C2×C22⋊Q811yescharacteristic
316C22×C59C2×C22⋊Q812yes—
317C22×C59C2×C4⋊Q811yescharacteristic
318C22×C59C2×C4⋊Q812yes—
319C22×C59#53211yescharacteristic
320C22×C59#53312yes—
321C22×C59#53411yescharacteristic
322C22×C59#53711yescharacteristic
323C22×C59#54312yes—
324C22×C59#54412yes—
325C22×C59D4212yes—
326C22×C59#54612yes—
327C22×C59#54611yescharacteristic
328C22×C59#54612yes—
329C22×C59#54712yes—
330C22×C59D4×Q811yescharacteristic
331C22×C59#55112yes—
332C22×C59#55211yescharacteristic
333C22×C59#55412yes—
334C22×C59#55411yescharacteristic
335C4×C59—24no—
336C4×C59—42no—
337C4×C59—44no—
338C4×C59—44no—
339Dic59—28no—
340Dic59—42no—
341Dic59—42no—
342Dic59—44no—
343Dic59—81no—
344Dic59—81no—
345C22×C22⋊Q8D5911yescharacteristic
346C2×#395—591no—
347C2×#385—591no—
348C2×#380—592no—
349C22×#95—591no—
350#1446—591no—
351#1444—592no—
352#1444—591no—
353#1441—591no—
354#1441—592no—
355C22⋊#95—592no—
356C2×C59—28no—
357C2×C59C2×#39511yescharacteristic
358C2×C59#241011yescharacteristic
359C2×C59#241711yescharacteristic
360C2×C59#243011yescharacteristic
361C2×C59#243712yes—
362C2×C59#243812yes—
363C2×C59#244012yes—
364C2×C59#254912yes—
365C2×C59#256411yescharacteristic
366C2×C59#265911yescharacteristic
367C2×C59#285711yescharacteristic
368C23×Q8C2×D5911yescharacteristic
369C24×C4—592no—
370C24×C4C2×D5911yescharacteristic
371C2×C22⋊Q8—24no—
372C2×C22⋊Q8—28no—
373C22×C4⋊C4—591no—
374C22×C4⋊C4—592no—
375C22×C4⋊C4—592no—
376C22×C4⋊C4—591no—
377C22×C4⋊C4C2×D5911yescharacteristic
378C22×C4⋊C4C2×D5912yes—
379C22×C22⋊C4—591no—
380C22×C22⋊C4—591no—
381C22×C22⋊C4C2×D5912yes—
382#395—1184no—
383#385—1184no—
384#380—1188no—
385C2×#95—591no—
386C2×#95—592no—
387C2×#95—592no—
388C2×#95—591no—
389C2×#95—592no—
390C2×#95—592no—
391C2×#95—591no—
392C2×#95—592no—
393C2×#95—591no—
394C2×#95—592no—
395C2×#95—592no—
396C2×#95—1184no—
397C59#1475811yescharacteristic, complemented, Sylow
398C25C22×D5911yescharacteristic
399C22×Q8—22no—
400C22×Q8—22no—
401C22×Q8—24no—
402C22×Q8—22no—
403C22×Q8—42no—
404C23×C4—24no—
405C23×C4—22no—
406C23×C4—22no—
407C23×C4—42no—
408C23×C4—592no—
409C23×C4—591no—
410C23×C4—591no—
411C23×C4—592no—
412C23×C4—598no—
413C23×C4—591no—
414C23×C4—591no—
415C23×C4—1184no—
416C23×C4—1184no—
417C23×C4—1184no—
418C23×C4—1184no—
419C23×C4—2362no—
420C23×C4—2362no—
421C23×C4C22⋊D5914yes—
422C23×C4C22×D5912yes—
423C23×C4C22×D5912yes—
424C23×C4C22×D5911yescharacteristic
425C23×C4C22×D5911yescharacteristic
426C22⋊Q8—232no—
427C2×C4⋊C4—24no—
428C2×C4⋊C4—22no—
429C2×C4⋊C4—24no—
430C2×C4⋊C4—24no—
431C2×C4⋊C4—24no—
432C2×C4⋊C4—1184no—
433C2×C4⋊C4—1184no—
434C2×C4⋊C4—1182no—
435C2×C4⋊C4—1182no—
436C2×C4⋊C4—1184no—
437C2×C4⋊C4—1184no—
438C2×C4⋊C4—1182no—
439C2×C4⋊C4—1182no—
440C2×C4⋊C4—2362no—
441C2×C4⋊C4—2362no—
442C2×C4⋊C4—2362no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—594no—
446C2×C22⋊C4—1182no—
447C2×C22⋊C4—1182no—
448C2×C22⋊C4—1184no—
449C2×C22⋊C4—1182no—
450C2×C22⋊C4C22⋊D5918yes—
451#95—594no—
452#95—1184no—
453#95—1184no—
454#95—1184no—
455#95—1182no—
456#95—1184no—
457#95—1184no—
458#95—1182no—
459#95—1182no—
460#95—2362no—
461#95—2362no—
462C24—21no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—21no—
468C24Q8×D5912yes—
469C24Q8×D5914yes—
470C24#1174568912yes—
471C24C2×C22⋊D5912yes—
472C24C2×C22⋊D5914yes—
473C24C23×D5911yescharacteristic
474C2×Q8—28no—
475C2×Q8—48no—
476C2×Q8—48no—
477C2×Q8—44no—
478C2×Q8—44no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—28no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—28no—
499C22×C4—44no—
500C22×C4—48no—
501C22×C4—48no—
502C22×C4—594no—
503C22×C4—594no—
504C22×C4—594no—
505C22×C4—592no—
506C22×C4—592no—
507C22×C4—594no—
508C22×C4—11816no—
509C22×C4—1182no—
510C22×C4—1182no—
511C22×C4—1182no—
512C22×C4—1182no—
513C22×C4—11816no—
514C22×C4—1181no—
515C22×C4—1182no—
516C22×C4—1182no—
517C22×C4—1181no—
518C22×C4—1181no—
519C22×C4—1182no—
520C22×C4—1182no—
521C22×C4—1181no—
522C22×C4—1181no—
523C22×C4—1181no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1182no—
527C22×C4—1181no—
528C22×C4—1182no—
529C22×C4—1181no—
530C22×C4—1181no—
531C22×C4—1181no—
532C22×C4—1182no—
533C22×C4—1182no—
534C22×C4—1181no—
535C22×C4—1182no—
536C22×C4—1181no—
537C22×C4—1182no—
538C22×C4—1181no—
539C22×C4—1181no—
540C22×C4—2368no—
541C22×C4—2368no—
542C22×C4—2368no—
543C22×C4—2368no—
544C22×C4—2368no—
545C22×C4D4×D5912yes—
546C22×C4#1174568712yes—
547C22×C4C2×C22⋊D5914yes—
548C22×C4C2×C22⋊D5914yes—
549C22×C4C2×C22⋊D5912yes—
550C22×C4C2×C22⋊D5912yes—
551C4⋊C4—28no—
552C4⋊C4—216no—
553C4⋊C4—2368no—
554C4⋊C4—2368no—
555C4⋊C4—2364no—
556C4⋊C4—2364no—
557C22⋊C4—216no—
558C22⋊C4—1188no—
559C22⋊C4—2364no—
560C23—22no—
561C23—24no—
562C23—22no—
563C23—24no—
564C23—22no—
565C23—22no—
566C23—24no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—22no—
571C23—24no—
572C23—24no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—24no—
577C23—22no—
578C23#1427369614yes—
579C23#1427370314yes—
580C23#1427370318yes—
581C23#1427372518yes—
582C23#1427372514yes—
583C23C2×D4×D5911yescharacteristic
584C23C22×C22⋊D5911yescharacteristic
585C23C22×C22⋊D5912yes—
586C23C2×Q8×D5912yes—
587C23C2×Q8×D5911yescharacteristic
588C23#41×D5912yes—
589C23C2×#1174568711yescharacteristic
590C23C2×#1174568911yescharacteristic
591C23#1427377212yes—
592C23#1427377311yescharacteristic
593C23#1427377411yescharacteristic
594Q8—416no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—24no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—24no—
608C2×C4—416no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—42no—
614C2×C4—42no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—598no—
620C2×C4—1184no—
621C2×C4—1184no—
622C2×C4—1184no—
623C2×C4—1184no—
624C2×C4—1184no—
625C2×C4—1184no—
626C2×C4—1184no—
627C2×C4—1182no—
628C2×C4—1182no—
629C2×C4—1184no—
630C2×C4—1184no—
631C2×C4—1182no—
632C2×C4—1184no—
633C2×C4—1182no—
634C2×C4—23632no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2362no—
642C2×C4—2362no—
643C2×C4—2362no—
644C2×C4—2362no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2362no—
650C2×C4—2362no—
651C2×C4—2361no—
652C2×C4—2362no—
653C2×C4—2362no—
654C2×C4—2362no—
655C2×C4—2361no—
656C2×C4#1427369914yes—
657C22—24no—
658C22—24no—
659C22—28no—
660C22—28no—
661C22—28no—
662C22—24no—
663C22—28no—
664C22—24no—
665C22—24no—
666C22—24no—
667C22#1683732118yescomplemented
668C22C2×#1427369611yescharacteristic
669C22C2×#1427369911yescharacteristic
670C22C22⋊Q8×D5912yes—
671C22C2×#1427370311yescharacteristic
672C22C2×#1427370312yes—
673C22C2×#1427372512yes—
674C22C2×#1427372511yescharacteristic
675C22#1683794811yescharacteristic
676C22#1683795412yes—
677C22#1683796111yescharacteristic
678C22#1683798011yescharacteristic
679C22#1683802712yes—
680C22#1683803112yes—
681C22D4×C22⋊D5912yes—
682C22#1683804012yes—
683C22#1683804311yescharacteristic
684C22#1683804612yes—
685C22#1683805112yes—
686C22#1683806511yescharacteristic
687C22#1683807912yes—
688C22#1683809411yescharacteristic
689C22#1683810612yes—
690C22#1683811011yescharacteristic
691C4—24no—
692C4—42no—
693C4—44no—
694C4—44no—
695C4—1188no—
696C4—4721no—
697C4—4721no—
698C4—2362no—
699C4—2364no—
700C4—2362no—
701C2—28no—
702C2C2×#1683732111yescharacteristic
703C2#2142747011yescharacteristic
704C2#2142754811yescharacteristic
705C2#2142770011yescharacteristic
706C2#2142775912yes—
707C2#2142776812yes—
708C2#2142779512yes—
709C2#2142910412yes—
710C2#2142927811yescharacteristic
711C2#2143021211yescharacteristic
712C2#2143244411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D59
commutator, socle, cosocleC24×C59C24
FittingC22×C22⋊Q8×C59C2
prime radicalC25×C59C23
hypercenterC22×C22⋊Q8D59
hypocenterC59#14758
LCSG ▷ C24×C59 ▷ C59
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C2×#16837321C2semidirect
5. #21422367C2semidirect
6. #21422359C2semidirect
7. #21422359C2semidirect
8. #21422346C2semidirect
9. #21422346C2semidirect
47. C23×Dic59Q8semidirect
69. C2×C22⋊Dic59Q8semidirect
299. C2×Dic59C22⋊Q8semidirect
311. C22×C59#395semidirect
397. C59#14758semidirect
667. C22#16837321semidirect

Maximal subgroups

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

subgroupindex
C2×#168373212
C2×#168372752
C2×#168372602
C22×C59⋊#952
#214223672
#214223592
#214223462
#214223182
C22×C22⋊Q8×C592
#1475859