Finite Group Databasebeta

← #28595355

Subgroups — #28595355

Order 15104.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837648C211yesmaximal, characteristic
2C2×C4×#11745660C211yesmaximal, characteristic, complemented
3#21426789C211yesmaximal, characteristic
4#21426778C211yesmaximal, characteristic, complemented
5#21424977C211yesmaximal, characteristic, complemented
6#21424834C211yesmaximal, characteristic, complemented
7#21424779C211yesmaximal, characteristic, complemented
8#21424772C211yesmaximal, characteristic, complemented
9#21424524C211yesmaximal, characteristic
10#21424519C211yesmaximal, characteristic, complemented
11#21424129C211yesmaximal, characteristic, complemented
12C4×#14273661C211yesmaximal, characteristic, complemented
13#21423927C211yesmaximal, characteristic, complemented
14#21423922C211yesmaximal, characteristic, complemented
15C2×C59×#405C211yesmaximal, characteristic, complemented
16C22×#11745660C2211yescharacteristic
17C2×#14273706C2211yescharacteristic
18C2×#14273701C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20C2×C4×D236C2211yescharacteristic
21#16837648C418yescomplemented
22C4×#11745660—24no—
23C2×#14273661C2211yescharacteristic
24C2×#14273661C2211yescharacteristic
25C2×#14273659C2211yescharacteristic
26C2×#14273652C2211yescharacteristic
27C2×#14273652C2211yescharacteristic
28C2×#14273652C2211yescharacteristic
29C2×#14273649C2211yescharacteristic
30C2×#14273649C2211yescharacteristic
31C2×#14273649C2211yescharacteristic
32#16837308C2211yescharacteristic
33#16837304C2211yescharacteristic
34#16837302—21no—
35#16837300C2211yescharacteristic
36#16837300C2211yescharacteristic
37#16837297—21no—
38#16837296—21no—
39#16837292—21no—
40#16837290—21no—
41#16837283—21no—
42#16837278—21no—
43#16837273—21no—
44#16837262C2211yescharacteristic
45#16837262C2211yescharacteristic
46C4×C4⋊Dic59C2211yescharacteristic
47C4×C4⋊Dic59C2211yescharacteristic
48#16837165C2211yescharacteristic
49#16837165C2211yescharacteristic
50#16837165C2211yescharacteristic
51#16837165C2211yescharacteristic
52#16837165C2211yescharacteristic
53#16837165C2211yescharacteristic
54C22×M16×C59C2211yescharacteristic
55C23×C8×C59C2211yescharacteristic
56C2×#117×C59C2211yescharacteristic
57C59×#405—24no—
58C2×#97×C59C2211yescharacteristic
59C2×#97×C59C2211yescharacteristic
60C2×C4×C8×C59C2211yescharacteristic
61C2×C4×C8×C59C2211yescharacteristic
62C22×Dic118C2311yescharacteristic
63C22×D236C2311yescharacteristic
64C22×C22⋊D59—21no—
65C22×C4×D59—21no—
66C2×#11745660—22no—
67C2×#11745660—22no—
68C2×#11745660C2×C414yes—
69#14273706—22no—
70#14273706C2×C414yescomplemented
71#14273701—22no—
72#14273701C2×C414yes—
73C4×Dic118—22no—
74C4×Dic118—22no—
75C4×D236—22no—
76C4×D236—22no—
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×Dic59⋊C4—21no—
84C2×Dic59⋊C4—21no—
85C2×Dic59⋊C4—21no—
86C2×Dic59⋊C4—21no—
87C2×C22⋊Dic59—21no—
88C2×C22⋊Dic59—21no—
89C2×C22⋊Dic59—21no—
90C2×(C2×D59)⋊C4—21no—
91C2×(C2×D59)⋊C4—21no—
92C2×(C2×D59)⋊C4—21no—
93C2×(C2×D59)⋊C4—21no—
94C2×C4×Dic59—21no—
95C2×C4×Dic59—21no—
96C2×C4×Dic59—21no—
97#14273661—22no—
98#14273661C2×C414yescomplemented
99#14273659—22no—
100#14273652—22no—
101#14273652—22no—
102#14273652C2×C414yescomplemented
103#14273649—22no—
104#14273649—22no—
105#14273649C2×C414yes—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95—21no—
113C59⋊#95—21no—
114C23×C4×C59C2311yescharacteristic
115C2×M16×C59—22no—
116C2×M16×C59—22no—
117C2×M16×C59C2×C414yescomplemented
118C22×C8×C59—22no—
119C22×C8×C59—22no—
120C22×C8×C59—22no—
121C22×C8×C59C2311yescharacteristic
122C22×C8×C59C2311yescharacteristic
123C22×C8×C59C2311yescharacteristic
124C22×C8×C59C2311yescharacteristic
125#117×C59—22no—
126#117×C59—22no—
127C2×C4⋊C4×C59D411yescharacteristic
128C2×C4⋊C4×C59D411yescharacteristic
129C2×C22⋊C4×C59D411yescharacteristic
130C2×C22⋊C4×C59D411yescharacteristic
131C2×C42×C59C2311yescharacteristic
132C2×C42×C59C2311yescharacteristic
133#97×C59—22no—
134#97×C59—22no—
135C4×C8×C59—22no—
136C4×C8×C59D414yescomplemented
137C24×C59C2×D411yescharacteristic
138C23×D59—21no—
139C22×C4×C59—21no—
140C22×C4×C59—21no—
141C22×C4×C59—21no—
142C22×C4×C59—21no—
143C22×C4×C59C22×C412yes—
144C22×C4×C59C2×D411yescharacteristic
145C22×C4×C59C2×D411yescharacteristic
146C22×C4×C59C2×D411yescharacteristic
147C22×C4×C59C2×D411yescharacteristic
148C22×C4×C59C2×D411yescharacteristic
149C22×C4×C59#4112yes—
150C22×C4×C59C2411yescharacteristic
151C2×C22⋊D59—24no—
152C2×C22⋊D59—81no—
153C2×C22⋊D59—81no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—21no—
158C22×Dic59—21no—
159C22×Dic59—21no—
160C22×Dic59—21no—
161C2×D236—21no—
162C2×D236—21no—
163C2×D236—21no—
164C2×D236—21no—
165C2×D236—21no—
166C2×D236C22×C412yes—
167C2×C4×D59—42no—
168C2×C4×D59—81no—
169C2×C4×D59—81no—
170C2×Dic118—21no—
171C2×Dic118—21no—
172C2×Dic118—21no—
173C2×Dic118—21no—
174C2×Dic118—21no—
175C2×Dic118C22×C412yes—
176M16×C59—28no—
177C2×C8×C59—28no—
178C2×C8×C59—21no—
179C2×C8×C59—21no—
180C2×C8×C59—21no—
181C2×C8×C59—21no—
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59C22×C412yes—
185C2×C8×C59C22×C412yes—
186C2×C8×C59C2×D412yes—
187C2×C8×C59C2×D412yes—
188C2×C8×C59#4112yes—
189C2×C8×C59#4112yes—
190C4⋊C4×C59—22no—
191C4⋊C4×C59—22no—
192C22⋊C4×C59—22no—
193C22⋊C4×C59—22no—
194C42×C59—21no—
195C42×C59—21no—
196C42×C59C2×D412yes—
197C42×C59#4112yes—
198C22⋊Dic59—24no—
199C22⋊Dic59—81no—
200C22⋊Dic59—81no—
201(C2×D59)⋊C4—24no—
202(C2×D59)⋊C4—42no—
203(C2×D59)⋊C4—81no—
204(C2×D59)⋊C4—81no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—21no—
208C4⋊Dic59—21no—
209C4⋊Dic59—21no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59C22×C412yes—
216C4⋊Dic59C22×C412yes—
217Dic59⋊C4—24no—
218Dic59⋊C4—42no—
219Dic59⋊C4—81no—
220Dic59⋊C4—81no—
221C4×Dic59—42no—
222C4×Dic59—81no—
223C4×Dic59—81no—
224#11745660—28no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59C4×D412yes—
232C23×C59C22×D411yescharacteristic
233C22×D59—22no—
234C22×D59—41no—
235C22×D59—41no—
236C22×D59—41no—
237C22×D59—41no—
238C22×D59—41no—
239C22×D59—41no—
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—22no—
247C2×C4×C59—22no—
248C2×C4×C59—22no—
249C2×C4×C59—22no—
250C2×C4×C59—21no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—21no—
256C2×C4×C59C4×D412yes—
257C2×C4×C59#12112yes—
258C2×C4×C59#12112yes—
259C2×C4×C59C23×C411yescharacteristic
260C2×C4×C59C22×D411yescharacteristic
261C2×C4×C59C2×#4111yescharacteristic
262C2×C4×C59C2×#4111yescharacteristic
263C2×C4×C59C2×#4111yescharacteristic
264C2×C4×C59C2×#4111yescharacteristic
265C22⋊D59—84no—
266C2×Dic59—22no—
267C2×Dic59—22no—
268C2×Dic59—22no—
269C2×Dic59—41no—
270C2×Dic59—41no—
271C2×Dic59—41no—
272C2×Dic59—41no—
273C2×Dic59—41no—
274C2×Dic59—41no—
275C2×Dic59—41no—
276C2×Dic59—41no—
277C2×Dic59—41no—
278C2×Dic59—41no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287D236—22no—
288D236—22no—
289D236—41no—
290D236—41no—
291C4×D59—84no—
292Dic118—22no—
293Dic118—22no—
294Dic118—41no—
295Dic118—41no—
296C8×C59—22no—
297C8×C59—22no—
298C8×C59—22no—
299C8×C59C4×D414yes—
300#21535—591nomaximal, Sylow
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—22no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59C2×C4×D411yescharacteristic
309C22×C59C2×#12111yescharacteristic
310C22×C59#53211yescharacteristic
311C22×C59#57611yescharacteristic
312C22×C59#57711yescharacteristic
313C22×C59#57711yescharacteristic
314C22×C59#57811yescharacteristic
315C2×D59—42no—
316C2×D59—42no—
317C2×D59—42no—
318C2×D59—81no—
319C2×D59—81no—
320C2×D59—81no—
321C2×D59—81no—
322C4×C59—22no—
323C4×C59—22no—
324C4×C59—22no—
325C4×C59—41no—
326C4×C59—41no—
327C4×C59C2×C4×D411yescharacteristic
328C4×C59C4×#4111yescharacteristic
329C4×C59#52511yescharacteristic
330C4×C59#52911yescharacteristic
331Dic59—42no—
332Dic59—42no—
333Dic59—42no—
334Dic59—81no—
335Dic59—81no—
336Dic59—81no—
337Dic59—81no—
338C2×#468—591no—
339C2×C4×SD16—591no—
340C2×#405D5911yescharacteristic, complemented
341#2324—591no—
342#2323—591no—
343#1973—591no—
344#1943—591no—
345#1934—591no—
346#1933—591no—
347#1893—591no—
348#1892—591no—
349#1809—591no—
350C4×#107—591no—
351#1763—591no—
352#1762—591no—
353C2×C59—42no—
354C2×C59C4×#12111yescharacteristic
355C2×C59#294611yescharacteristic
356C2×C59#294711yescharacteristic
357C2×C59#305711yescharacteristic
358C2×C59#306111yescharacteristic
359C2×C59#317811yescharacteristic
360C2×C59#317911yescharacteristic
361D59—82no—
362C22×SD16—591no—
363C22×M16C2×D5911yescharacteristic
364C23×C8C2×D5911yescharacteristic
365C2×C22⋊Q8—591no—
366C2×#121—591no—
367C2×C4×Q8—591no—
368C2×C4×D4—591no—
369C2×#117C2×D5911yescharacteristic
370#468—598no—
371C4×SD16—1184no—
372C2×#107—591no—
373C2×#107—591no—
374C2×#106—591no—
375C2×#103—591no—
376C2×#103—591no—
377C2×#103—591no—
378C2×#102—591no—
379C2×#102—591no—
380C2×#102—591no—
381#405—24no—
382C2×#97C2×D5911yescharacteristic
383C2×#97C2×D5911yescharacteristic
384C2×C4×C8C2×D5911yescharacteristic
385C2×C4×C8C2×D5911yescharacteristic
386#391—591no—
387#390—591no—
388#390—1181no—
389#389—591no—
390#389—591no—
391#389—1181no—
392#388—1181no—
393#388—1181no—
394#388—1181no—
395#387—1181no—
396#386—1181no—
397#385—1181no—
398#380—591no—
399#380—591no—
400C4×C4⋊C4—591no—
401C4×C4⋊C4—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408C59#2153511yescharacteristic, complemented, Sylow
409C22×Q8—591no—
410C22×D4—591no—
411C22×D4—1181no—
412C23×C4—1181no—
413C23×C4C22×D5911yescharacteristic
414C2×SD16—594no—
415C2×SD16—1182no—
416C2×SD16—1182no—
417C2×M16—22no—
418C2×M16—22no—
419C2×M16C4×D5914yescomplemented
420C22×C8—22no—
421C22×C8—22no—
422C22×C8—22no—
423C22×C8C22×D5911yescharacteristic
424C22×C8C22×D5911yescharacteristic
425C22×C8C22×D5911yescharacteristic
426C22×C8C22×D5911yescharacteristic
427C22⋊Q8—594no—
428C22⋊Q8—1182no—
429#121—594no—
430#121—1182no—
431C4×Q8—1182no—
432C4×Q8—1182no—
433C4×D4—1182no—
434C4×D4—1182no—
435#117—22no—
436#117—22no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—591no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4—1181no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4D23611yescharacteristic
448C2×C4⋊C4D23611yescharacteristic
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C22⋊C4—1181no—
455C2×C22⋊C4—1181no—
456C2×C22⋊C4D23611yescharacteristic
457C2×C22⋊C4D23611yescharacteristic
458C2×C42—1181no—
459C2×C42—1181no—
460C2×C42—1181no—
461C2×C42C22×D5911yescharacteristic
462C2×C42C22×D5911yescharacteristic
463#107—594no—
464#107—1182no—
465#106—1182no—
466#103—594no—
467#103—1182no—
468#103—1182no—
469#102—594no—
470#102—1182no—
471#102—1182no—
472#97—22no—
473#97—22no—
474C4×C8—22no—
475C4×C8C22⋊D5914yescomplemented
476#95—1181no—
477#95—1181no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481#95—1181no—
482#95—1181no—
483#95—1181no—
484C24—1181no—
485C24C2×D23611yescharacteristic
486C2×Q8—592no—
487C2×Q8—1181no—
488C2×Q8—1181no—
489C2×Q8—1181no—
490C2×Q8—1181no—
491C2×Q8—1181no—
492C2×D4—592no—
493C2×D4—1184no—
494C2×D4—1181no—
495C2×D4—1181no—
496C2×D4—1181no—
497C2×D4—1181no—
498C2×D4—1181no—
499C2×D4—4721no—
500C2×D4—4721no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—1181no—
506C22×C4—1181no—
507C22×C4—1181no—
508C22×C4—1181no—
509C22×C4—1181no—
510C22×C4—1181no—
511C22×C4—1181no—
512C22×C4—4721no—
513C22×C4—4721no—
514C22×C4—2362no—
515C22×C4C2×C4×D5912yes—
516C22×C4C2×D23611yescharacteristic
517C22×C4C2×D23611yescharacteristic
518C22×C4C2×D23611yescharacteristic
519C22×C4C2×D23611yescharacteristic
520C22×C4C2×D23611yescharacteristic
521C22×C4#1174568512yes—
522C22×C4C23×D5911yescharacteristic
523SD16—1188no—
524M16—28no—
525C2×C8—28no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8C2×C4×D5912yes—
533C2×C8C2×C4×D5912yes—
534C2×C8#1174568512yes—
535C2×C8#1174568512yes—
536C2×C8C2×C22⋊D5912yes—
537C2×C8C2×C22⋊D5912yes—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—592no—
541C4⋊C4—592no—
542C4⋊C4—1184no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4—1181no—
548C4⋊C4—1181no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—1181no—
553C4⋊C4—4721no—
554C4⋊C4—4721no—
555C4⋊C4—2362no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—1184no—
559C22⋊C4—1184no—
560C22⋊C4—4721no—
561C22⋊C4—4721no—
562C22⋊C4—4721no—
563C22⋊C4—4721no—
564C22⋊C4—2362no—
565C42—21no—
566C42—21no—
567C42—4721no—
568C42—4721no—
569C42—2362no—
570C42#1174568512yes—
571C42C2×C22⋊D5912yes—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—1182no—
579C23—2361no—
580C23—2361no—
581C23—2361no—
582C23—2361no—
583C23—2361no—
584C23—2361no—
585C23C4×D23612yes—
586C23C22×D23611yescharacteristic
587Q8—1182no—
588Q8—1182no—
589Q8—2361no—
590Q8—2361no—
591D4—1182no—
592D4—1182no—
593D4—4724no—
594D4—2361no—
595D4—2361no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—1182no—
613C2×C4—1182no—
614C2×C4—1182no—
615C2×C4—4724no—
616C2×C4—2361no—
617C2×C4—2361no—
618C2×C4—2361no—
619C2×C4—2361no—
620C2×C4—2361no—
621C2×C4—2361no—
622C2×C4—2361no—
623C2×C4—2361no—
624C2×C4—2361no—
625C2×C4—2361no—
626C2×C4—2361no—
627C2×C4—2361no—
628C2×C4—2361no—
629C2×C4—2361no—
630C2×C4—2361no—
631C2×C4—2361no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4C4×D23612yes—
635C2×C4#1427370112yes—
636C2×C4#1427370112yes—
637C2×C4C22×C4×D5911yescharacteristic
638C2×C4C22×C22⋊D5911yescharacteristic
639C2×C4C2×#1174568511yescharacteristic
640C2×C4C2×#1174568511yescharacteristic
641C2×C4C2×#1174568511yescharacteristic
642C2×C4C2×#1174568511yescharacteristic
643C8—22no—
644C8—22no—
645C8—22no—
646C8C4×C22⋊D5914yes—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—4721no—
655C22—4721no—
656C22—4721no—
657C22—4721no—
658C22—2362no—
659C22—2362no—
660C22—2362no—
661C22C2×C4×D23611yescharacteristic
662C22C2×#1427370111yescharacteristic
663C22#1683795211yescharacteristic
664C22#1683820711yescharacteristic
665C22#1683821411yescharacteristic
666C22#1683821411yescharacteristic
667C22#1683821911yescharacteristic
668C4—22no—
669C4—22no—
670C4—22no—
671C4—41no—
672C4—41no—
673C4—4721no—
674C4—4721no—
675C4—4721no—
676C4—4721no—
677C4—2362no—
678C4—2362no—
679C4—2362no—
680C4C2×C4×C22⋊D5911yescharacteristic
681C4C4×#1174568511yescharacteristic
682C4#1683791311yescharacteristic
683C4#1683793611yescharacteristic
684C2—42no—
685C2—4722no—
686C2C4×#1427370111yescharacteristic
687C2#2143293011yescharacteristic
688C2#2143294111yescharacteristic
689C2#2143373511yescharacteristic
690C2#2143376611yescharacteristic
691C2#2143476411yescharacteristic
692C2#2143477911yescharacteristic
subgroupG/H
centerC23C22×D236
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#405C2
socleC23×C59C22×D4
prime radicalC2×#14273701C22
cosocleC22×C4×C59C24
hypercenterC2×#405D59
hypocenterC59#21535
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#405

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745660C2semidirect
4. #21426778C2semidirect
5. #21424977C2semidirect
6. #21424834C2semidirect
7. #21424779C2semidirect
8. #21424772C2semidirect
10. #21424519C2semidirect
11. #21424129C2semidirect
12. C4×#14273661C2semidirect
13. #21423927C2semidirect
14. #21423922C2semidirect
15. C2×C59×#405C2semidirect
21. #16837648C4semidirect
70. #14273706C2×C4semidirect
98. #14273661C2×C4semidirect
102. #14273652C2×C4semidirect
117. C2×M16×C59C2×C4semidirect
136. C4×C8×C59D4semidirect
340. C2×#405D59semidirect
408. C59#21535semidirect
419. C2×M16C4×D59semidirect
475. C4×C8C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168376482
C2×C4×#117456602
#214267892
#214267782
#214249772
#214248342
#214247792
#214247722
#214245242
#214245192
#214241292
C4×#142736612
#214239272
#214239222
C2×C59×#4052
#2153559