Finite Group Databasebeta

← #28611531

Subgroups — #28611531

Order 15104.

998 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837648C211yesmaximal, characteristic
2C2×#16837501C211yesmaximal, characteristic, complemented
3#21427134C211yesmaximal, characteristic
4#21427101C211yesmaximal, characteristic, complemented
5#21424948C211yesmaximal, characteristic, complemented
6#21424832C211yesmaximal, characteristic, complemented
7#21424736C211yesmaximal, characteristic, complemented
8#21424722C211yesmaximal, characteristic, complemented
9#21424413C211yesmaximal, characteristic
10#21424408C211yesmaximal, characteristic, complemented
11#21424361C211yesmaximal, characteristic, complemented
12#21424340C211yesmaximal, characteristic, complemented
13#107×Dic59C211yesmaximal, characteristic, complemented
14#21423877C211yesmaximal, characteristic, complemented
15C2×C59×#428C211yesmaximal, characteristic, complemented
16C22×#11745660C2211yescharacteristic
17C2×#14273706C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×#14273692C2211yescharacteristic
20C2×#14273689C2211yescharacteristic
21#16837648C418yescomplemented
22#16837501—24no—
23C2×#14273661C2211yescharacteristic
24C2×#14273652C2211yescharacteristic
25C2×#14273650C2211yescharacteristic
26C2×#14273650C2211yescharacteristic
27C2×#14273649C2211yescharacteristic
28C2×#14273647C2211yescharacteristic
29C2×#14273647C2211yescharacteristic
30C2×C22⋊(C59⋊C8)C2211yescharacteristic
31C2×#14273637C2211yescharacteristic
32C2×C8×Dic59C2211yescharacteristic
33#16837307C2211yescharacteristic
34#16837303C2211yescharacteristic
35#16837302—21no—
36#16837298C2211yescharacteristic
37#16837298C2211yescharacteristic
38#16837297—21no—
39#16837293—21no—
40#16837283—21no—
41#16837278—21no—
42#16837275—21no—
43C4⋊C4×Dic59C2211yescharacteristic
44C4⋊C4×Dic59C2211yescharacteristic
45C4×(C2×D59)⋊C4—21no—
46C4×C22⋊Dic59—21no—
47C4×C22⋊Dic59C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837156C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×M16×C59C2211yescharacteristic
55C2×#117×C59C2211yescharacteristic
56C22×C4⋊C4×C59C2211yescharacteristic
57C59×#428—24no—
58C2×#107×C59C2211yescharacteristic
59C2×#107×C59C2211yescharacteristic
60C2×#106×C59C2211yescharacteristic
61C2×#106×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C22⋊D59—21no—
65C22×C4×D59—21no—
66C2×#11745660—22no—
67C2×#11745660—22no—
68C2×#11745660C2×C414yescomplemented
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71#14273706—22no—
72#14273706C2×C414yescomplemented
73#14273701—22no—
74#14273701C2×C414yes—
75#14273692—22no—
76#14273692—41no—
77#14273689—22no—
78#14273689—41no—
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×Dic59⋊C4—21no—
82C2×Dic59⋊C4—21no—
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×C22⋊Dic59—21no—
86C2×C22⋊Dic59D411yescharacteristic
87C2×C22⋊Dic59D411yescharacteristic
88C2×(C2×D59)⋊C4—21no—
89C2×(C2×D59)⋊C4—21no—
90C2×(C2×D59)⋊C4—21no—
91C2×(C2×D59)⋊C4—21no—
92C2×C4×Dic59—21no—
93C2×C4×Dic59—21no—
94C2×C4×Dic59—21no—
95C2×C4×Dic59C2311yescharacteristic
96C2×C4×Dic59C2311yescharacteristic
97#14273661C2×C414yescomplemented
98#14273652C2×C414yescomplemented
99#14273650—22no—
100#14273650—41no—
101#14273649C2×C414yescomplemented
102#14273647—22no—
103#14273647—41no—
104C22⋊(C59⋊C8)—22no—
105#14273637—22no—
106C8×Dic59—22no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95—21no—
113C59⋊#95D411yescharacteristic
114C59⋊#95D411yescharacteristic
115C23×C4×C59—21no—
116C23×C4×C59C2311yescharacteristic
117C2×M16×C59—22no—
118C2×M16×C59—22no—
119C2×M16×C59C2×C414yescomplemented
120C22×C8×C59C2311yescharacteristic
121C22×C8×C59C2311yescharacteristic
122#117×C59—22no—
123#117×C59—41no—
124C2×C4⋊C4×C59—22no—
125C2×C4⋊C4×C59—21no—
126C2×C4⋊C4×C59—41no—
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C22⋊C4×C59—21no—
132C2×C42×C59—21no—
133#107×C59—22no—
134#107×C59D414yescomplemented
135#106×C59—22no—
136#106×C59—22no—
137C24×C59C2×D411yescharacteristic
138C23×D59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59—21no—
144C22×C4×C59—21no—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—42no—
148C22×C4×C59—42no—
149C22×C4×C59—81no—
150C22×C4×C59C22×C412yes—
151C22×C4×C59C2×D411yescharacteristic
152C22×C4×C59#4112yes—
153C22×C4×C59C2411yescharacteristic
154C2×C22⋊D59—24no—
155C2×C22⋊D59—81no—
156C2×C22⋊D59—81no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59C2×D411yescharacteristic
161C22×Dic59C2×D411yescharacteristic
162C22×Dic59C2×D411yescharacteristic
163C22×Dic59C2×D411yescharacteristic
164C2×D236—21no—
165C2×D236—21no—
166C2×D236—21no—
167C2×D236—21no—
168C2×D236—21no—
169C2×D236C22×C412yes—
170C2×C4×D59—42no—
171C2×C4×D59—42no—
172C2×C4×D59—81no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118—21no—
176C2×Dic118—21no—
177C2×Dic118—21no—
178C2×Dic118C22×C412yes—
179M16×C59—28no—
180C2×C8×C59—21no—
181C2×C8×C59—21no—
182C2×C8×C59C22×C412yes—
183C2×C8×C59C22×C412yes—
184C2×C8×C59C2×D412yes—
185C2×C8×C59#4112yes—
186C4⋊C4×C59—21no—
187C4⋊C4×C59—21no—
188C4⋊C4×C59—21no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59—21no—
192C4⋊C4×C59—42no—
193C4⋊C4×C59C2×D412yes—
194C4⋊C4×C59C2×D412yes—
195C22⋊C4×C59—42no—
196C42×C59—42no—
197C22⋊Dic59—24no—
198C22⋊Dic59—22no—
199C22⋊Dic59—41no—
200(C2×D59)⋊C4—24no—
201(C2×D59)⋊C4—42no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—81no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59C22×C412yes—
207C4⋊Dic59C22×C412yes—
208Dic59⋊C4—24no—
209Dic59⋊C4—42no—
210Dic59⋊C4—81no—
211Dic59⋊C4—81no—
212C4×Dic59—21no—
213C4×Dic59—21no—
214C4×Dic59—21no—
215C4×Dic59—21no—
216C4×Dic59—42no—
217C4×Dic59—81no—
218C4×Dic59—81no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225#11745660—28no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59C4×D412yes—
233C23×C59C22×D411yescharacteristic
234C22×D59—22no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
240C22×D59—41no—
241C2×C4×C59—21no—
242C2×C4×C59—21no—
243C2×C4×C59—22no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—41no—
250C2×C4×C59—41no—
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×C59C23×C411yescharacteristic
262C2×C4×C59C22×D411yescharacteristic
263C2×C4×C59C2×#4111yescharacteristic
264C2×C4×C59C2×#4111yescharacteristic
265C2×C4×C59H(5,𝔽2)11yescharacteristic
266C2×C4×C592−1+411yescharacteristic
267C22⋊D59—84no—
268C2×Dic59—21no—
269C2×Dic59—21no—
270C2×Dic59—22no—
271C2×Dic59—22no—
272C2×Dic59—22no—
273C2×Dic59—21no—
274C2×Dic59—21no—
275C2×Dic59—21no—
276C2×Dic59—21no—
277C2×Dic59—21no—
278C2×Dic59—21no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59#13712yes—
289D236—22no—
290D236—22no—
291D236—41no—
292D236—41no—
293C4×D59—84no—
294Dic118—22no—
295Dic118—22no—
296Dic118—41no—
297Dic118—41no—
298C8×C59—22no—
299C8×C59C4×D414yes—
300C59⋊C8—41no—
301C59⋊C8—41no—
302#23041—591nomaximal, Sylow
303C22×C59—22no—
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59C2×C4×D411yescharacteristic
311C22×C59D4211yescharacteristic
312C22×C59#54711yescharacteristic
313C22×C59C2×#13711yescharacteristic
314C22×C59#57511yescharacteristic
315C22×C59#57611yescharacteristic
316C22×C59#57711yescharacteristic
317C2×D59—42no—
318C2×D59—42no—
319C2×D59—42no—
320C2×D59—81no—
321C2×D59—81no—
322C2×D59—81no—
323C2×D59—81no—
324C4×C59—22no—
325C4×C59—42no—
326C4×C59—42no—
327C4×C59—81no—
328C4×C59—81no—
329C4×C59C2×C4×D411yescharacteristic
330C4×C59#52011yescharacteristic
331C4×C59#54811yescharacteristic
332C4×C59#55311yescharacteristic
333Dic59—22no—
334Dic59—41no—
335Dic59—42no—
336Dic59—42no—
337Dic59—42no—
338Dic59—41no—
339Dic59—41no—
340C2×#468—591no—
341C2×#440—591no—
342C2×#428D5911yescharacteristic, complemented
343#2363—591no—
344#2360—591no—
345#1968—591no—
346#1943—591no—
347#1928—591no—
348#1926—591no—
349#1874—591no—
350#1873—591no—
351#1865—591no—
352#1862—591no—
353C4×#107—591no—
354#1753—591no—
355C2×C59—42no—
356C2×C59#236111yescharacteristic
357C2×C59C4×#13711yescharacteristic
358C2×C59#294611yescharacteristic
359C2×C59#327311yescharacteristic
360C2×C59#327811yescharacteristic
361C2×C59#334611yescharacteristic
362C2×C59#334811yescharacteristic
363D59—82no—
364C22×SD16—591no—
365C22×M16C2×D5911yescharacteristic
366C2×C22⋊Q8—591no—
367C2×#121—591no—
368C2×C4×Q8—591no—
369C2×C4×D4—591no—
370C2×#117C2×D5911yescharacteristic
371C22×C4⋊C4C2×D5911yescharacteristic
372#468—598no—
373#440—1184no—
374#428—24no—
375C2×#107—591no—
376C2×#107C2×D5911yescharacteristic
377C2×#107C2×D5911yescharacteristic
378C2×#106C2×D5911yescharacteristic
379C2×#106C2×D5911yescharacteristic
380C2×#103—591no—
381C2×#103—591no—
382C2×#103—591no—
383C2×#102—591no—
384C2×#102—591no—
385C2×#102—591no—
386C2×C22⋊C8—591no—
387C2×#97—591no—
388C2×C4×C8—591no—
389#391—591no—
390#390—591no—
391#390—1181no—
392#389—591no—
393#389—591no—
394#389—1181no—
395#388—1181no—
396#387—1181no—
397#386—1181no—
398#385—1181no—
399C4×C4⋊C4—591no—
400C4×C4⋊C4—591no—
401C4×C22⋊C4—591no—
402C4×C22⋊C4—1181no—
403C4×C22⋊C4—1181no—
404#340—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408#336—591no—
409#336—591no—
410C59#2304111yescharacteristic, complemented, Sylow
411C22×Q8—591no—
412C22×D4—591no—
413C22×D4—1181no—
414C23×C4—21no—
415C23×C4—1181no—
416C23×C4C22×D5911yescharacteristic
417C2×SD16—594no—
418C2×SD16—1182no—
419C2×SD16—1182no—
420C2×M16—22no—
421C2×M16—22no—
422C2×M16C4×D5914yescomplemented
423C22×C8—591no—
424C22×C8—591no—
425C22×C8C22×D5911yescharacteristic
426C22×C8C22×D5911yescharacteristic
427C22⋊Q8—594no—
428C22⋊Q8—1182no—
429#121—594no—
430#121—1182no—
431C4×Q8—1182no—
432C4×Q8—2361no—
433C4×D4—1182no—
434C4×D4—2361no—
435#117—22no—
436#117—41no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—41no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—591no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4C22×D5911yescharacteristic
447C2×C4⋊C4C22×D5911yescharacteristic
448C2×C4⋊C4C22×D5911yescharacteristic
449C2×C4⋊C4C22×D5911yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—591no—
452C2×C22⋊C4—591no—
453C2×C22⋊C4—1181no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4—1181no—
458C2×C42—21no—
459C2×C42—591no—
460C2×C42—591no—
461C2×C42—1181no—
462C2×C42—1181no—
463C2×C42—1181no—
464#107—22no—
465#107—594no—
466#107C22⋊D5914yescomplemented
467#106—22no—
468#106—22no—
469#103—594no—
470#103—1182no—
471#103—2361no—
472#102—594no—
473#102—1182no—
474#102—2361no—
475C22⋊C8—1182no—
476#97—1182no—
477C4×C8—1182no—
478#95—591no—
479#95—591no—
480#95—1181no—
481#95—1181no—
482#95—1181no—
483#95—1181no—
484#95—1181no—
485#95—1181no—
486C24—1181no—
487C24D4×D5911yescharacteristic
488C2×Q8—592no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×Q8—1181no—
492C2×Q8—1181no—
493C2×Q8—1181no—
494C2×D4—592no—
495C2×D4—1184no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—1181no—
500C2×D4—1181no—
501C2×D4—4721no—
502C2×D4—4721no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—81no—
514C22×C4—591no—
515C22×C4—591no—
516C22×C4—591no—
517C22×C4—591no—
518C22×C4—1181no—
519C22×C4—1181no—
520C22×C4—1181no—
521C22×C4—4721no—
522C22×C4—2362no—
523C22×C4—2362no—
524C22×C4C2×C4×D5912yes—
525C22×C4D4×D5911yescharacteristic
526C22×C4#1174568912yes—
527C22×C4C23×D5911yescharacteristic
528SD16—1188no—
529M16—28no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—1181no—
533C2×C8—1181no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8C2×C4×D5912yes—
539C2×C8C2×C4×D5912yes—
540C2×C8#1174568512yes—
541C2×C8C2×C22⋊D5912yes—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—42no—
549C4⋊C4—592no—
550C4⋊C4—592no—
551C4⋊C4—1184no—
552C4⋊C4—1181no—
553C4⋊C4—1181no—
554C4⋊C4—4721no—
555C4⋊C4—4721no—
556C4⋊C4—2362no—
557C4⋊C4C2×C22⋊D5912yes—
558C4⋊C4C2×C22⋊D5912yes—
559C22⋊C4—42no—
560C22⋊C4—1182no—
561C22⋊C4—1184no—
562C22⋊C4—1184no—
563C22⋊C4—4721no—
564C22⋊C4—2362no—
565C22⋊C4—2362no—
566C22⋊C4—2361no—
567C42—42no—
568C42—1181no—
569C42—1181no—
570C42—1181no—
571C42—1181no—
572C42—4721no—
573C42—4721no—
574C42—2362no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—1182no—
582C23—2361no—
583C23—2361no—
584C23—2361no—
585C23—2361no—
586C23—2361no—
587C23—2361no—
588C23#1427368912yes—
589C23C2×D4×D5911yescharacteristic
590Q8—1182no—
591Q8—1182no—
592Q8—2361no—
593Q8—2361no—
594D4—1182no—
595D4—1182no—
596D4—4724no—
597D4—2361no—
598D4—2361no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4—592no—
619C2×C4—1181no—
620C2×C4—1181no—
621C2×C4—1181no—
622C2×C4—1181no—
623C2×C4—1181no—
624C2×C4—1181no—
625C2×C4—1181no—
626C2×C4—1181no—
627C2×C4—1181no—
628C2×C4—1181no—
629C2×C4—1181no—
630C2×C4—1182no—
631C2×C4—1182no—
632C2×C4—1182no—
633C2×C4—4724no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4#1427368912yes—
641C2×C4C22×C4×D5911yescharacteristic
642C2×C4C22×C22⋊D5911yescharacteristic
643C2×C4C2×#1174568511yescharacteristic
644C2×C4C2×#1174568911yescharacteristic
645C2×C4#1427377211yescharacteristic
646C2×C4#1427377511yescharacteristic
647C8—22no—
648C8—2361no—
649C8—2361no—
650C8C4×C22⋊D5914yes—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—41no—
658C22—4721no—
659C22—4721no—
660C22—4721no—
661C22—4721no—
662C22—2362no—
663C22—2362no—
664C22—2362no—
665C22C2×#1427368911yescharacteristic
666C22D4×C22⋊D5911yescharacteristic
667C22#1683805311yescharacteristic
668C22#137×D5911yescharacteristic
669C22#1683819811yescharacteristic
670C22#1683820611yescharacteristic
671C22#1683821111yescharacteristic
672C4—22no—
673C4—42no—
674C4—42no—
675C4—81no—
676C4—81no—
677C4—1182no—
678C4—2361no—
679C4—2362no—
680C4—2362no—
681C4—2361no—
682C4—2362no—
683C4—2361no—
684C4C2×C4×C22⋊D5911yescharacteristic
685C4#1683788311yescharacteristic
686C4#1683806311yescharacteristic
687C4#1683810011yescharacteristic
688C2—42no—
689C2—4722no—
690C2#2142711211yescharacteristic
691C2#2143291411yescharacteristic
692C2#2143292611yescharacteristic
693C2#2143570111yescharacteristic
694C2#2143575611yescharacteristic
695C2#2143658211yescharacteristic
696C2#2143661211yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#428C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenterC2×#428D59
hypocenterC59#23041
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
2. C2×#16837501C2semidirect
4. #21427101C2semidirect
5. #21424948C2semidirect
6. #21424832C2semidirect
7. #21424736C2semidirect
8. #21424722C2semidirect
10. #21424408C2semidirect
11. #21424361C2semidirect
12. #21424340C2semidirect
13. #107×Dic59C2semidirect
14. #21423877C2semidirect
15. C2×C59×#428C2semidirect
21. #16837648C4semidirect
68. C2×#11745660C2×C4semidirect
72. #14273706C2×C4semidirect
97. #14273661C2×C4semidirect
98. #14273652C2×C4semidirect
101. #14273649C2×C4semidirect
119. C2×M16×C59C2×C4semidirect
134. #107×C59D4semidirect
342. C2×#428D59semidirect
410. C59#23041semidirect
422. C2×M16C4×D59semidirect
466. #107C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376482
C2×#168375012
#214271342
#214271012
#214249482
#214248322
#214247362
#214247222
#214244132
#214244082
#214243612
#214243402
#107×Dic592
#214238772
C2×C59×#4282
#2304159