Finite Group Databasebeta

← #28611415

Subgroups — #28611415

Order 15104.

982 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×#16837503C211yesmaximal, characteristic, complemented
2C2×#16837440C211yesmaximal, characteristic, complemented
3#21427138C211yesmaximal, characteristic
4#21427127C211yesmaximal, characteristic, complemented
5#21424979C211yesmaximal, characteristic, complemented
6#21424840C211yesmaximal, characteristic, complemented
7#21424732C211yesmaximal, characteristic, complemented
8#21424725C211yesmaximal, characteristic, complemented
9#21424419C211yesmaximal, characteristic
10#21424409C211yesmaximal, characteristic, complemented
11#21424366C211yesmaximal, characteristic, complemented
12#21424359C211yesmaximal, characteristic, complemented
13#21423996C211yesmaximal, characteristic, complemented
14#21423872C211yesmaximal, characteristic, complemented
15C2×C59×#465C211yesmaximal, characteristic
16C2×Q8×Dic59C2211yescharacteristic
17C2×D4×Dic59C2211yescharacteristic
18C2×#14273686C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20#16837503—24no—
21#16837440—24no—
22C2×#14273661C2211yescharacteristic
23C2×#14273661C2211yescharacteristic
24C2×#14273659C2211yescharacteristic
25C2×#14273659C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273648C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×C22⋊(C59⋊C8)C2211yescharacteristic
31C2×#14273637C2211yescharacteristic
32C2×#14273637C2211yescharacteristic
33#16837309C2211yescharacteristic
34#16837305—21no—
35#16837305C2211yescharacteristic
36#16837301C2211yescharacteristic
37#16837301C2211yescharacteristic
38#16837295—21no—
39#16837295—21no—
40#16837295—21no—
41#16837288—21no—
42#16837282—21no—
43C4⋊C4×Dic59—21no—
44C4⋊C4×Dic59C2211yescharacteristic
45C4⋊C4×Dic59C2211yescharacteristic
46C22⋊C4×Dic59—21no—
47C4×C22⋊Dic59C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837156C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×SD16×C59C2211yescharacteristic
55C23×C8×C59C2211yescharacteristic
56C2×C22⋊Q8×C59C2211yescharacteristic
57C2×#121×C59C2211yescharacteristic
58C59×#465C418yescomplemented
59C2×#106×C59C2211yescharacteristic
60C2×#103×C59C2211yescharacteristic
61C2×#102×C59C2211yescharacteristic
62C23×Dic59—21no—
63C22×C59⋊C8C2311yescharacteristic
64C22×C59⋊C8C2311yescharacteristic
65Q8×Dic59—22no—
66Q8×Dic59—41no—
67D4×Dic59—22no—
68D4×Dic59—41no—
69#14273686—22no—
70#14273686—22no—
71#14273686—41no—
72#14273686—41no—
73C2×C4⋊Dic59—21no—
74C2×C4⋊Dic59—21no—
75C2×C4⋊Dic59—21no—
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C22⋊Dic59—21no—
81C2×C22⋊Dic59—21no—
82C2×C22⋊Dic59—21no—
83C2×C22⋊Dic59—21no—
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59D411yescharacteristic
86C2×C22⋊Dic59D411yescharacteristic
87C2×C4×Dic59—21no—
88C2×C4×Dic59—21no—
89C2×C4×Dic59—21no—
90C2×C4×Dic59—21no—
91C2×C4×Dic59—21no—
92C2×C4×Dic59C2311yescharacteristic
93C2×C4×Dic59C2311yescharacteristic
94#14273661—22no—
95#14273661D414yescomplemented
96#14273659—22no—
97#14273659—22no—
98#14273651—22no—
99#14273651—41no—
100#14273648—22no—
101#14273648—41no—
102C22⋊(C59⋊C8)—22no—
103#14273637—22no—
104#14273637—22no—
105C59⋊#95—21no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95D411yescharacteristic
112C59⋊#95D411yescharacteristic
113C22×Q8×C59C2311yescharacteristic
114C22×D4×C59—21no—
115C22×D4×C59C2311yescharacteristic
116C23×C4×C59C2311yescharacteristic
117C2×SD16×C59—22no—
118C2×SD16×C59—22no—
119C2×SD16×C59C2×C414yes—
120C22×C8×C59—22no—
121C22×C8×C59—22no—
122C22×C8×C59C2×C414yescomplemented
123C22×C8×C59C2311yescharacteristic
124C22×C8×C59C2311yescharacteristic
125C22⋊Q8×C59—22no—
126C22⋊Q8×C59C2×C414yescomplemented
127#121×C59—22no—
128#121×C59C2×C414yes—
129C2×C4⋊C4×C59—21no—
130C2×C4⋊C4×C59C2311yescharacteristic
131C2×C4⋊C4×C59C2311yescharacteristic
132C2×C22⋊C4×C59—21no—
133C2×C22⋊C4×C59—21no—
134#106×C59C2×C414yescomplemented
135#103×C59C2×C414yescomplemented
136#102×C59C2×C414yes—
137C24×C59—21no—
138C24×C59C2×D411yescharacteristic
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59C22×C412yes—
145C2×D4×C59—24no—
146C2×D4×C59—21no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59—21no—
151C2×D4×C59—81no—
152C2×D4×C59—81no—
153C2×D4×C59C22×C412yes—
154C22×C4×C59—21no—
155C22×C4×C59—21no—
156C22×C4×C59—21no—
157C22×C4×C59—21no—
158C22×C4×C59—21no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59C22×C412yes—
162C22×C4×C59C2×D411yescharacteristic
163C22×C4×C59#4112yes—
164C22×C4×C59C2411yescharacteristic
165C22×Dic59—21no—
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—42no—
170C22×Dic59—42no—
171C22×Dic59—81no—
172C22×Dic59C2×D411yescharacteristic
173C22×Dic59C2×D411yescharacteristic
174C22×Dic59C2×D411yescharacteristic
175C22×Dic59C2×D411yescharacteristic
176SD16×C59—28no—
177C2×C8×C59—21no—
178C2×C8×C59—21no—
179C2×C8×C59—28no—
180C2×C8×C59C22×C412yes—
181C2×C8×C59C22×C412yes—
182C2×C8×C59C2×D412yes—
183C2×C8×C59#4112yes—
184C4⋊C4×C59—24no—
185C4⋊C4×C59—21no—
186C4⋊C4×C59—21no—
187C4⋊C4×C59C22×C412yes—
188C4⋊C4×C59C22×C412yes—
189C22⋊C4×C59—24no—
190C22⋊C4×C59—24no—
191C22⋊Dic59—41no—
192C22⋊Dic59—41no—
193C22⋊Dic59—42no—
194C22⋊Dic59—42no—
195C22⋊Dic59—42no—
196C22⋊Dic59—42no—
197C22⋊Dic59—81no—
198C4⋊Dic59—21no—
199C4⋊Dic59—21no—
200C4⋊Dic59—21no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—42no—
205C4⋊Dic59—42no—
206C4⋊Dic59—81no—
207C4⋊Dic59C2×D412yes—
208C4⋊Dic59C2×D412yes—
209C4×Dic59—21no—
210C4×Dic59—21no—
211C4×Dic59—21no—
212C4×Dic59—21no—
213C4×Dic59—42no—
214C4×Dic59—42no—
215C4×Dic59—42no—
216C4×Dic59—42no—
217C4×Dic59—81no—
218C2×C59⋊C8—21no—
219C2×C59⋊C8—21no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C23×C59—21no—
225C23×C59—21no—
226C23×C59—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—22no—
231C23×C59—41no—
232C23×C59—41no—
233C23×C59—41no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59C4×D412yes—
238C23×C59C22×D411yescharacteristic
239Q8×C59—22no—
240Q8×C59—22no—
241Q8×C59—41no—
242Q8×C59—41no—
243D4×C59—22no—
244D4×C59—22no—
245D4×C59—41no—
246D4×C59—41no—
247D4×C59—84no—
248C2×C4×C59—21no—
249C2×C4×C59—21no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—22no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59C4×D412yes—
264C2×C4×C59C23×C411yescharacteristic
265C2×C4×C59C22×D411yescharacteristic
266C2×C4×C59C2×#4111yescharacteristic
267C2×C4×C59C2×#4111yescharacteristic
268C2×C4×C59H(5,𝔽2)11yescharacteristic
269C2×C4×C592−1+411yescharacteristic
270C2×Dic59—21no—
271C2×Dic59—21no—
272C2×Dic59—22no—
273C2×Dic59—22no—
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—21no—
283C2×Dic59—21no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59—41no—
289C2×Dic59—41no—
290C2×Dic59—41no—
291C2×Dic59—41no—
292C2×Dic59—41no—
293C2×Dic59—41no—
294C2×Dic59—84no—
295C8×C59—22no—
296C8×C59C4×D414yes—
297C59⋊C8—41no—
298C59⋊C8—41no—
299#23033—591nomaximal, Sylow
300C22×C59—22no—
301C22×C59—22no—
302C22×C59—22no—
303C22×C59—41no—
304C22×C59—41no—
305C22×C59—41no—
306C22×C59—41no—
307C22×C59—42no—
308C22×C59—42no—
309C22×C59—42no—
310C22×C59—81no—
311C22×C59—81no—
312C22×C59—81no—
313C22×C59—81no—
314C22×C59C2×C4×D411yescharacteristic
315C22×C59D4211yescharacteristic
316C22×C59#54711yescharacteristic
317C22×C59#57511yescharacteristic
318C22×C59#57511yescharacteristic
319C22×C59#57711yescharacteristic
320C22×C59#57711yescharacteristic
321C4×C59—22no—
322C4×C59—42no—
323C4×C59—42no—
324C4×C59—42no—
325C4×C59C2×C4×D411yescharacteristic
326C4×C59#52011yescharacteristic
327C4×C59#54811yescharacteristic
328C4×C59#55311yescharacteristic
329Dic59—41no—
330Dic59—41no—
331Dic59—41no—
332Dic59—42no—
333Dic59—42no—
334Dic59—41no—
335Dic59—81no—
336Dic59—81no—
337C2×#465D5911yescharacteristic
338C2×#440—591no—
339C2×#427—591no—
340#2363—591no—
341#2362—591no—
342#1973—591no—
343#1944—591no—
344#1927—591no—
345#1926—591no—
346#1875—591no—
347#1873—591no—
348#1865—591no—
349#1864—591no—
350#1776—591no—
351#1752—591no—
352C2×C59—42no—
353C2×C59—82no—
354C2×C59#236111yescharacteristic
355C2×C59#294311yescharacteristic
356C2×C59#294911yescharacteristic
357C2×C59#326711yescharacteristic
358C2×C59#327111yescharacteristic
359C2×C59#334811yescharacteristic
360C2×C59#335011yescharacteristic
361C22×SD16C2×D5911yescharacteristic
362C23×C8C2×D5911yescharacteristic
363C2×C22⋊Q8C2×D5911yescharacteristic
364C2×#121C2×D5911yescharacteristic
365C2×C4×Q8—591no—
366C2×C4×D4—591no—
367C2×#117—591no—
368C2×#117—591no—
369#465Dic5918yescomplemented
370#440—1184no—
371#427—1184no—
372C2×#107—591no—
373C2×#107—591no—
374C2×#106—591no—
375C2×#106—591no—
376C2×#106C2×D5911yescharacteristic
377C2×#103—591no—
378C2×#103—591no—
379C2×#103C2×D5911yescharacteristic
380C2×#102—591no—
381C2×#102—591no—
382C2×#102C2×D5911yescharacteristic
383C2×C22⋊C8—591no—
384C2×#97—591no—
385C2×#97—591no—
386#391—591no—
387#390—591no—
388#390—1181no—
389#389—591no—
390#389—591no—
391#388—1181no—
392#388—1181no—
393#388—1181no—
394#387—1181no—
395#386—1181no—
396C4×C4⋊C4—591no—
397C4×C4⋊C4—591no—
398C4×C4⋊C4—1181no—
399C4×C22⋊C4—591no—
400C4×C22⋊C4—1181no—
401#340—591no—
402#340—591no—
403#340—591no—
404#340—591no—
405#336—591no—
406#336—591no—
407C59#2303311yescharacteristic, complemented, Sylow
408C22×Q8C22×D5911yescharacteristic
409C22×D4—21no—
410C22×D4C22×D5911yescharacteristic
411C23×C4—1181no—
412C23×C4C22×D5911yescharacteristic
413C2×SD16—22no—
414C2×SD16—22no—
415C2×SD16C2×Dic5914yes—
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—591no—
419C22×C8—591no—
420C22×C8C2×Dic5914yescomplemented
421C22×C8C22×D5911yescharacteristic
422C22×C8C22×D5911yescharacteristic
423C22⋊Q8—22no—
424C22⋊Q8C2×Dic5914yescomplemented
425#121—22no—
426#121C2×Dic5914yes—
427C4×Q8—1182no—
428C4×Q8—2361no—
429C4×D4—1182no—
430C4×D4—2361no—
431#117—1182no—
432#117—1182no—
433#117—2361no—
434#117—2361no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—591no—
437C2×C4⋊C4—591no—
438C2×C4⋊C4—591no—
439C2×C4⋊C4—591no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1181no—
442C2×C4⋊C4—1181no—
443C2×C4⋊C4C22×D5911yescharacteristic
444C2×C4⋊C4C22×D5911yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—591no—
448C2×C22⋊C4—591no—
449C2×C22⋊C4—1181no—
450C2×C22⋊C4—1181no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1181no—
454C2×C42—591no—
455C2×C42—591no—
456C2×C42—1181no—
457C2×C42—1181no—
458C2×C42—1181no—
459C2×C42—1181no—
460C2×C42—1181no—
461#107—594no—
462#107—1182no—
463#106—1182no—
464#106—1182no—
465#106C2×Dic5914yescomplemented
466#103—1182no—
467#103—2361no—
468#103C2×Dic5914yescomplemented
469#102—1182no—
470#102—2361no—
471#102C2×Dic5914yes—
472C22⋊C8—1182no—
473#97—1182no—
474#97—1182no—
475#95—591no—
476#95—591no—
477#95—1181no—
478#95—1181no—
479#95—1181no—
480#95—1181no—
481#95—1181no—
482#95—1181no—
483C24—21no—
484C24D4×D5911yescharacteristic
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8C22×Dic5912yes—
491C2×D4—24no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—81no—
498C2×D4—81no—
499C2×D4C22×Dic5912yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—591no—
508C22×C4—591no—
509C22×C4—591no—
510C22×C4—591no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—1181no—
514C22×C4—1181no—
515C22×C4—4721no—
516C22×C4—2362no—
517C22×C4—2362no—
518C22×C4D4×D5911yescharacteristic
519C22×C4#1174568712yes—
520C22×C4C22×Dic5912yes—
521C22×C4C23×D5911yescharacteristic
522SD16—28no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—28no—
526C2×C8—1181no—
527C2×C8—1181no—
528C2×C8—1181no—
529C2×C8—1181no—
530C2×C8—1181no—
531C2×C8—1181no—
532C2×C8D4×D5912yes—
533C2×C8#1174568712yes—
534C2×C8C22×Dic5912yes—
535C2×C8C22×Dic5912yes—
536C4⋊C4—24no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—592no—
540C4⋊C4—592no—
541C4⋊C4—1181no—
542C4⋊C4—1181no—
543C4⋊C4—1181no—
544C4⋊C4—1181no—
545C4⋊C4—1181no—
546C4⋊C4—1181no—
547C4⋊C4—4721no—
548C4⋊C4—2362no—
549C4⋊C4—2362no—
550C4⋊C4C22×Dic5912yes—
551C4⋊C4C22×Dic5912yes—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—4721no—
555C22⋊C4—2361no—
556C22⋊C4—2361no—
557C22⋊C4—2362no—
558C22⋊C4—2362no—
559C22⋊C4—2362no—
560C22⋊C4—2362no—
561C42—1181no—
562C42—1181no—
563C42—1181no—
564C42—1181no—
565C42—4721no—
566C42—2362no—
567C42—2362no—
568C42—2362no—
569C42—2362no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—22no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23D4×Dic5912yes—
584C23C2×D4×D5911yescharacteristic
585Q8—22no—
586Q8—22no—
587Q8—41no—
588Q8—41no—
589D4—22no—
590D4—22no—
591D4—41no—
592D4—41no—
593D4—84no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—1181no—
610C2×C4—1181no—
611C2×C4—1181no—
612C2×C4—1181no—
613C2×C4—1181no—
614C2×C4—1181no—
615C2×C4—1181no—
616C2×C4—1181no—
617C2×C4—1181no—
618C2×C4—1181no—
619C2×C4—1182no—
620C2×C4—1182no—
621C2×C4—1181no—
622C2×C4—1181no—
623C2×C4—4724no—
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×C4D4×Dic5912yes—
635C2×C4C23×Dic5911yescharacteristic
636C2×C4C2×D4×D5911yescharacteristic
637C2×C4C2×#1174568711yescharacteristic
638C2×C4C2×#1174568711yescharacteristic
639C2×C4#1427377311yescharacteristic
640C2×C4#1427377411yescharacteristic
641C8—22no—
642C8—2361no—
643C8—2361no—
644C8D4×Dic5914yes—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22C2×D4×Dic5911yescharacteristic
660C22#1683803611yescharacteristic
661C22#1683805211yescharacteristic
662C22#1683819911yescharacteristic
663C22#1683819911yescharacteristic
664C22#1683820811yescharacteristic
665C22#1683820811yescharacteristic
666C4—22no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—4721no—
671C4—4721no—
672C4—2361no—
673C4—2361no—
674C4—2361no—
675C4—2362no—
676C4—2362no—
677C4—2361no—
678C4C2×D4×Dic5911yescharacteristic
679C4#1683788511yescharacteristic
680C4#1683805811yescharacteristic
681C4#1683810411yescharacteristic
682C2—42no—
683C2—82no—
684C2#2142711611yescharacteristic
685C2#2143289711yescharacteristic
686C2#2143295611yescharacteristic
687C2#2143561811yescharacteristic
688C2#2143567811yescharacteristic
689C2#2143661711yescharacteristic
690C2#2143664711yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#465C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
cosocleC22×C4×C59C24
hypercenterC2×#465D59
hypocenterC59#23033
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#465

Complements

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

NH ≅ G/Ntype
1. C2×#16837503C2semidirect
2. C2×#16837440C2semidirect
4. #21427127C2semidirect
5. #21424979C2semidirect
6. #21424840C2semidirect
7. #21424732C2semidirect
8. #21424725C2semidirect
10. #21424409C2semidirect
11. #21424366C2semidirect
12. #21424359C2semidirect
13. #21423996C2semidirect
14. #21423872C2semidirect
58. C59×#465C4semidirect
95. #14273661D4semidirect
122. C22×C8×C59C2×C4semidirect
126. C22⋊Q8×C59C2×C4semidirect
134. #106×C59C2×C4semidirect
135. #103×C59C2×C4semidirect
369. #465Dic59semidirect
407. C59#23033semidirect
420. C22×C8C2×Dic59semidirect
424. C22⋊Q8C2×Dic59semidirect
465. #106C2×Dic59semidirect
468. #103C2×Dic59semidirect

Maximal subgroups

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

subgroupindex
C2×#168375032
C2×#168374402
#214271382
#214271272
#214249792
#214248402
#214247322
#214247252
#214244192
#214244092
#214243662
#214243592
#214239962
#214238722
C2×C59×#4652
#2303359