Finite Group Databasebeta

← #28611520

Subgroups — #28611520

Order 15104.

1026 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837503C211yesmaximal, characteristic, complemented
2C2×#16837444C211yesmaximal, characteristic, complemented
3#21427127C211yesmaximal, characteristic, complemented
4#21427116C211yesmaximal, characteristic
5#21424952C211yesmaximal, characteristic, complemented
6#21424835C211yesmaximal, characteristic, complemented
7#21424732C211yesmaximal, characteristic, complemented
8#21424718C211yesmaximal, characteristic, complemented
9#21424419C211yesmaximal, characteristic
10#21424404C211yesmaximal, characteristic, complemented
11#21424359C211yesmaximal, characteristic, complemented
12#21424352C211yesmaximal, characteristic, complemented
13#107×Dic59C211yesmaximal, characteristic, complemented
14#21423877C211yesmaximal, characteristic, complemented
15C2×C59×#468C211yesmaximal, characteristic
16C2×Q8×Dic59C2211yescharacteristic
17C2×D4×Dic59—21no—
18C2×D4×Dic59C2211yescharacteristic
19C2×#14273686C2211yescharacteristic
20C22×C4⋊Dic59C2211yescharacteristic
21#16837503—24no—
22#16837444—24no—
23C2×#14273661C2211yescharacteristic
24C2×#14273661C2211yescharacteristic
25C2×#14273659C2211yescharacteristic
26C2×#14273659C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273651C2211yescharacteristic
29C2×#14273648C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×C22⋊(C59⋊C8)C2211yescharacteristic
32C2×#14273637C2211yescharacteristic
33C2×C8×Dic59C2211yescharacteristic
34#16837309C2211yescharacteristic
35#16837305C2211yescharacteristic
36#16837301C2211yescharacteristic
37#16837301C2211yescharacteristic
38#16837295—21no—
39#16837295—21no—
40#16837295—21no—
41#16837288—21no—
42#16837282—21no—
43#16837277—21no—
44C4⋊C4×Dic59—21no—
45C4⋊C4×Dic59C2211yescharacteristic
46C4⋊C4×Dic59C2211yescharacteristic
47C4×C22⋊Dic59C2211yescharacteristic
48#16837164C2211yescharacteristic
49#16837164C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837156C2211yescharacteristic
53#16837156C2211yescharacteristic
54C22×SD16×C59C2211yescharacteristic
55C22×M16×C59C2211yescharacteristic
56C2×C22⋊Q8×C59C2211yescharacteristic
57C2×#121×C59C2211yescharacteristic
58C59×#468C418yescomplemented
59C2×#107×C59C2211yescharacteristic
60C2×#103×C59C2211yescharacteristic
61C2×#102×C59C2211yescharacteristic
62C23×Dic59—21no—
63C23×Dic59—21no—
64C22×C59⋊C8C2311yescharacteristic
65C22×C59⋊C8C2311yescharacteristic
66Q8×Dic59—22no—
67Q8×Dic59—41no—
68D4×Dic59—22no—
69D4×Dic59—41no—
70D4×Dic59—44no—
71#14273686—22no—
72#14273686—41no—
73C2×C4⋊Dic59—22no—
74C2×C4⋊Dic59—21no—
75C2×C4⋊Dic59—21no—
76C2×C4⋊Dic59—21no—
77C2×C4⋊Dic59—21no—
78C2×C4⋊Dic59—41no—
79C2×C4⋊Dic59C2311yescharacteristic
80C2×C4⋊Dic59C2311yescharacteristic
81C2×C4⋊Dic59C2311yescharacteristic
82C2×C4⋊Dic59C2311yescharacteristic
83C2×C22⋊Dic59—21no—
84C2×C22⋊Dic59—21no—
85C2×C22⋊Dic59—21no—
86C2×C22⋊Dic59—21no—
87C2×C22⋊Dic59D411yescharacteristic
88C2×C22⋊Dic59D411yescharacteristic
89C2×C4×Dic59—21no—
90C2×C4×Dic59—21no—
91C2×C4×Dic59—21no—
92C2×C4×Dic59—21no—
93C2×C4×Dic59C2311yescharacteristic
94C2×C4×Dic59C2311yescharacteristic
95#14273661—22no—
96#14273661D414yescomplemented
97#14273659—22no—
98#14273659—22no—
99#14273651—22no—
100#14273651—41no—
101#14273648—22no—
102#14273648—41no—
103C22⋊(C59⋊C8)—22no—
104#14273637—22no—
105C8×Dic59—22no—
106C59⋊#95—21no—
107C59⋊#95—21no—
108C59⋊#95—21no—
109C59⋊#95—21no—
110C59⋊#95—21no—
111C59⋊#95—21no—
112C59⋊#95D411yescharacteristic
113C59⋊#95D411yescharacteristic
114C22×Q8×C59C2311yescharacteristic
115C22×D4×C59—21no—
116C22×D4×C59C2311yescharacteristic
117C23×C4×C59C2311yescharacteristic
118C2×SD16×C59—22no—
119C2×SD16×C59—22no—
120C2×SD16×C59C2×C414yescomplemented
121C2×M16×C59—22no—
122C2×M16×C59—22no—
123C2×M16×C59C2×C414yescomplemented
124C22×C8×C59C2311yescharacteristic
125C22×C8×C59C2311yescharacteristic
126C22⋊Q8×C59—22no—
127C22⋊Q8×C59C2×C414yescomplemented
128#121×C59—22no—
129#121×C59C2×C414yes—
130C2×C4⋊C4×C59—21no—
131C2×C4⋊C4×C59C2311yescharacteristic
132C2×C4⋊C4×C59C2311yescharacteristic
133C2×C22⋊C4×C59—21no—
134C2×C22⋊C4×C59—21no—
135#107×C59C2×C414yescomplemented
136#103×C59C2×C414yescomplemented
137#102×C59C2×C414yescomplemented
138C24×C59—21no—
139C24×C59C2×D411yescharacteristic
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59—21no—
145C2×Q8×C59C22×C412yes—
146C2×D4×C59—24no—
147C2×D4×C59—21no—
148C2×D4×C59—21no—
149C2×D4×C59—21no—
150C2×D4×C59—21no—
151C2×D4×C59—21no—
152C2×D4×C59—42no—
153C2×D4×C59—42no—
154C2×D4×C59C22×C412yes—
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×C59—21no—
162C22×C4×C59C22×C412yes—
163C22×C4×C59C2×D411yescharacteristic
164C22×C4×C59#4112yes—
165C22×C4×C59C2411yescharacteristic
166C22×Dic59—21no—
167C22×Dic59—21no—
168C22×Dic59—21no—
169C22×Dic59—21no—
170C22×Dic59—42no—
171C22×Dic59—42no—
172C22×Dic59—42no—
173C22×Dic59—42no—
174C22×Dic59—81no—
175C22×Dic59—81no—
176C22×Dic59C2×D411yescharacteristic
177C22×Dic59C2×D411yescharacteristic
178C22×Dic59C2×D411yescharacteristic
179C22×Dic59C2×D411yescharacteristic
180SD16×C59—28no—
181M16×C59—28no—
182C2×C8×C59—21no—
183C2×C8×C59—21no—
184C2×C8×C59C22×C412yes—
185C2×C8×C59C22×C412yes—
186C2×C8×C59C2×D412yes—
187C2×C8×C59#4112yes—
188C4⋊C4×C59—24no—
189C4⋊C4×C59—21no—
190C4⋊C4×C59—21no—
191C4⋊C4×C59C22×C412yes—
192C4⋊C4×C59C22×C412yes—
193C22⋊C4×C59—24no—
194C22⋊C4×C59—24no—
195C22⋊Dic59—22no—
196C22⋊Dic59—41no—
197C22⋊Dic59—42no—
198C22⋊Dic59—42no—
199C22⋊Dic59—42no—
200C22⋊Dic59—81no—
201C4⋊Dic59—21no—
202C4⋊Dic59—21no—
203C4⋊Dic59—21no—
204C4⋊Dic59—21no—
205C4⋊Dic59—21no—
206C4⋊Dic59—21no—
207C4⋊Dic59—42no—
208C4⋊Dic59—42no—
209C4⋊Dic59—42no—
210C4⋊Dic59—42no—
211C4⋊Dic59C2×D412yes—
212C4⋊Dic59C2×D412yes—
213C4×Dic59—21no—
214C4×Dic59—21no—
215C4×Dic59—21no—
216C4×Dic59—21no—
217C4×Dic59—42no—
218C4×Dic59—42no—
219C4×Dic59—42no—
220C4×Dic59—42no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C23×C59—21no—
228C23×C59—21no—
229C23×C59—21no—
230C23×C59—21no—
231C23×C59—21no—
232C23×C59—21no—
233C23×C59—22no—
234C23×C59—41no—
235C23×C59—41no—
236C23×C59—41no—
237C23×C59—41no—
238C23×C59—41no—
239C23×C59—41no—
240C23×C59C4×D412yes—
241C23×C59C22×D411yescharacteristic
242Q8×C59—22no—
243Q8×C59—22no—
244Q8×C59—41no—
245Q8×C59—41no—
246D4×C59—22no—
247D4×C59—22no—
248D4×C59—48no—
249D4×C59—41no—
250D4×C59—41no—
251C2×C4×C59—21no—
252C2×C4×C59—21no—
253C2×C4×C59—22no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—22no—
257C2×C4×C59—22no—
258C2×C4×C59—22no—
259C2×C4×C59—22no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59—41no—
265C2×C4×C59—41no—
266C2×C4×C59C4×D412yes—
267C2×C4×C59C23×C411yescharacteristic
268C2×C4×C59C22×D411yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×C4×C59H(5,𝔽2)11yescharacteristic
272C2×C4×C592−1+411yescharacteristic
273C2×Dic59—21no—
274C2×Dic59—21no—
275C2×Dic59—21no—
276C2×Dic59—21no—
277C2×Dic59—22no—
278C2×Dic59—22no—
279C2×Dic59—21no—
280C2×Dic59—21no—
281C2×Dic59—21no—
282C2×Dic59—21no—
283C2×Dic59—21no—
284C2×Dic59—21no—
285C2×Dic59—21no—
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—41no—
295C2×Dic59—41no—
296C2×Dic59—84no—
297C2×Dic59—84no—
298C2×Dic59AGL(1,ℤ/8)12yes—
299C8×C59—22no—
300C8×C59C4×D414yescomplemented
301C59⋊C8—41no—
302C59⋊C8—41no—
303#23040—591nomaximal, Sylow
304C22×C59—22no—
305C22×C59—22no—
306C22×C59—22no—
307C22×C59—41no—
308C22×C59—41no—
309C22×C59—41no—
310C22×C59—41no—
311C22×C59—42no—
312C22×C59—42no—
313C22×C59—42no—
314C22×C59—81no—
315C22×C59—81no—
316C22×C59—81no—
317C22×C59—81no—
318C22×C59C2×C4×D411yescharacteristic
319C22×C59D4211yescharacteristic
320C22×C59#54711yescharacteristic
321C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
322C22×C59#57511yescharacteristic
323C22×C59#57711yescharacteristic
324C22×C59#57811yescharacteristic
325C4×C59—22no—
326C4×C59—42no—
327C4×C59—42no—
328C4×C59—42no—
329C4×C59C2×C4×D411yescharacteristic
330C4×C59#52011yescharacteristic
331C4×C59#54811yescharacteristic
332C4×C59#55311yescharacteristic
333Dic59—22no—
334Dic59—41no—
335Dic59—41no—
336Dic59—42no—
337Dic59—42no—
338Dic59—41no—
339Dic59—81no—
340Dic59—81no—
341C2×#468D5911yescharacteristic
342C2×#440—591no—
343C2×#428—591no—
344#2362—591no—
345#2361—591no—
346#1968—591no—
347#1943—591no—
348#1927—591no—
349#1925—591no—
350#1875—591no—
351#1872—591no—
352#1864—591no—
353#1863—591no—
354C4×#107—591no—
355#1753—591no—
356C2×C59—42no—
357C2×C59—82no—
358C2×C59#236111yescharacteristic
359C2×C59C4×AGL(1,ℤ/8)11yescharacteristic
360C2×C59#294711yescharacteristic
361C2×C59#327211yescharacteristic
362C2×C59#327711yescharacteristic
363C2×C59#334311yescharacteristic
364C2×C59#335011yescharacteristic
365C22×SD16C2×D5911yescharacteristic
366C22×M16C2×D5911yescharacteristic
367C2×C22⋊Q8C2×D5911yescharacteristic
368C2×#121C2×D5911yescharacteristic
369C2×C4×Q8—591no—
370C2×C4×D4—591no—
371C2×C4×D4—1181no—
372C2×#117—591no—
373C22×C4⋊C4—591no—
374#468Dic5918yescomplemented
375#440—1184no—
376#428—1184no—
377C2×#107—591no—
378C2×#107—591no—
379C2×#107C2×D5911yescharacteristic
380C2×#106—591no—
381C2×#106—591no—
382C2×#103—591no—
383C2×#103—591no—
384C2×#103C2×D5911yescharacteristic
385C2×#102—591no—
386C2×#102—591no—
387C2×#102C2×D5911yescharacteristic
388C2×C22⋊C8—591no—
389C2×#97—591no—
390C2×C4×C8—591no—
391#391—591no—
392#390—591no—
393#389—591no—
394#389—591no—
395#388—1181no—
396#388—1181no—
397#388—1181no—
398#387—1181no—
399#386—1181no—
400#385—1181no—
401C4×C4⋊C4—591no—
402C4×C4⋊C4—591no—
403C4×C4⋊C4—1181no—
404C4×C22⋊C4—591no—
405#340—591no—
406#340—591no—
407#340—591no—
408#340—591no—
409#336—591no—
410#336—591no—
411C59#2304011yescharacteristic, complemented, Sylow
412C22×Q8C22×D5911yescharacteristic
413C22×D4—21no—
414C22×D4C22×D5911yescharacteristic
415C23×C4—1181no—
416C23×C4—1181no—
417C23×C4C22×D5911yescharacteristic
418C2×SD16—22no—
419C2×SD16—22no—
420C2×SD16C2×Dic5914yescomplemented
421C2×M16—22no—
422C2×M16—22no—
423C2×M16C2×Dic5914yescomplemented
424C22×C8—591no—
425C22×C8—591no—
426C22×C8C22×D5911yescharacteristic
427C22×C8C22×D5911yescharacteristic
428C22⋊Q8—22no—
429C22⋊Q8C2×Dic5914yescomplemented
430#121—22no—
431#121C2×Dic5914yes—
432C4×Q8—1182no—
433C4×Q8—2361no—
434C4×D4—1182no—
435C4×D4—2361no—
436C4×D4—2364no—
437#117—1182no—
438#117—2361no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—591no—
442C2×C4⋊C4—591no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—1182no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4—1181no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—2361no—
450C2×C4⋊C4C22×D5911yescharacteristic
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—591no—
455C2×C22⋊C4—591no—
456C2×C22⋊C4—1181no—
457C2×C22⋊C4—1181no—
458C2×C22⋊C4—1181no—
459C2×C22⋊C4—1181no—
460C2×C42—591no—
461C2×C42—591no—
462C2×C42—1181no—
463C2×C42—1181no—
464C2×C42—1181no—
465C2×C42—1181no—
466#107—594no—
467#107—1182no—
468#107C2×Dic5914yescomplemented
469#106—1182no—
470#106—1182no—
471#103—1182no—
472#103—2361no—
473#103C2×Dic5914yescomplemented
474#102—1182no—
475#102—2361no—
476#102C2×Dic5914yescomplemented
477C22⋊C8—1182no—
478#97—1182no—
479C4×C8—1182no—
480#95—591no—
481#95—591no—
482#95—1181no—
483#95—1181no—
484#95—1181no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488C24—21no—
489C24D4×D5911yescharacteristic
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8C22×Dic5912yes—
496C2×D4—24no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4C22×Dic5912yes—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—591no—
513C22×C4—591no—
514C22×C4—591no—
515C22×C4—591no—
516C22×C4—1181no—
517C22×C4—1181no—
518C22×C4—1181no—
519C22×C4—1181no—
520C22×C4—4721no—
521C22×C4—4721no—
522C22×C4—2362no—
523C22×C4—2362no—
524C22×C4—2362no—
525C22×C4—2362no—
526C22×C4D4×D5911yescharacteristic
527C22×C4#1174568712yes—
528C22×C4C22×Dic5912yes—
529C22×C4C23×D5911yescharacteristic
530SD16—28no—
531M16—28no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—1181no—
535C2×C8—1181no—
536C2×C8—1181no—
537C2×C8—1181no—
538C2×C8—1181no—
539C2×C8—1181no—
540C2×C8D4×D5912yes—
541C2×C8#1174568712yes—
542C2×C8C22×Dic5912yes—
543C2×C8C22×Dic5912yes—
544C4⋊C4—24no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—592no—
548C4⋊C4—592no—
549C4⋊C4—1181no—
550C4⋊C4—1181no—
551C4⋊C4—1181no—
552C4⋊C4—1181no—
553C4⋊C4—1181no—
554C4⋊C4—1181no—
555C4⋊C4—2362no—
556C4⋊C4—2362no—
557C4⋊C4—2362no—
558C4⋊C4—2362no—
559C4⋊C4C22×Dic5912yes—
560C4⋊C4C22×Dic5912yes—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—1182no—
564C22⋊C4—4721no—
565C22⋊C4—2362no—
566C22⋊C4—2361no—
567C22⋊C4—2362no—
568C22⋊C4—2362no—
569C42—1181no—
570C42—1181no—
571C42—1181no—
572C42—1181no—
573C42—2362no—
574C42—2362no—
575C42—2362no—
576C42—2362no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—22no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23D4×Dic5912yes—
591C23C2×D4×D5911yescharacteristic
592Q8—22no—
593Q8—22no—
594Q8—41no—
595Q8—41no—
596D4—22no—
597D4—22no—
598D4—48no—
599D4—41no—
600D4—41no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—592no—
617C2×C4—1181no—
618C2×C4—1181no—
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—1182no—
628C2×C4—1182no—
629C2×C4—1181no—
630C2×C4—4724no—
631C2×C4—4724no—
632C2×C4—2361no—
633C2×C4—2361no—
634C2×C4—2361no—
635C2×C4—2361no—
636C2×C4—2361no—
637C2×C4—2361no—
638C2×C4—2361no—
639C2×C4—2361no—
640C2×C4—2361no—
641C2×C4—2361no—
642C2×C4D4×Dic5912yes—
643C2×C4C23×Dic5911yescharacteristic
644C2×C4C2×D4×D5911yescharacteristic
645C2×C4C2×#1174568711yescharacteristic
646C2×C4C2×#1174568711yescharacteristic
647C2×C4#1427377311yescharacteristic
648C2×C4#1427377411yescharacteristic
649C8—22no—
650C8—2361no—
651C8—2361no—
652C8D4×Dic5914yescomplemented
653C22—22no—
654C22—22no—
655C22—22no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—41no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22C2×D4×Dic5911yescharacteristic
668C22#1683803611yescharacteristic
669C22#1683805211yescharacteristic
670C22AGL(1,ℤ/8)×D5911yescharacteristic
671C22#1683819811yescharacteristic
672C22#1683821111yescharacteristic
673C22#1683821811yescharacteristic
674C4—22no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—1182no—
679C4—4721no—
680C4—4721no—
681C4—2361no—
682C4—2362no—
683C4—2362no—
684C4—2361no—
685C4—2361no—
686C4C2×D4×Dic5911yescharacteristic
687C4#1683788511yescharacteristic
688C4#1683805811yescharacteristic
689C4#1683810411yescharacteristic
690C2—42no—
691C2—82no—
692C2#2142711611yescharacteristic
693C2AGL(1,ℤ/8)×Dic5911yescharacteristic
694C2#2143294011yescharacteristic
695C2#2143569311yescharacteristic
696C2#2143575011yescharacteristic
697C2#2143653111yescharacteristic
698C2#2143663611yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC2×C59×#468C2
socleC23×C59C22×D4
prime radicalC2×#121×C59C22
cosocleC22×C4×C59C24
hypercenterC2×#468D59
hypocenterC59#23040
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#468

Complements

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

NH ≅ G/Ntype
1. C2×#16837503C2semidirect
2. C2×#16837444C2semidirect
3. #21427127C2semidirect
5. #21424952C2semidirect
6. #21424835C2semidirect
7. #21424732C2semidirect
8. #21424718C2semidirect
10. #21424404C2semidirect
11. #21424359C2semidirect
12. #21424352C2semidirect
13. #107×Dic59C2semidirect
14. #21423877C2semidirect
58. C59×#468C4semidirect
96. #14273661D4semidirect
120. C2×SD16×C59C2×C4semidirect
123. C2×M16×C59C2×C4semidirect
127. C22⋊Q8×C59C2×C4semidirect
135. #107×C59C2×C4semidirect
136. #103×C59C2×C4semidirect
137. #102×C59C2×C4semidirect
300. C8×C59C4×D4semidirect
374. #468Dic59semidirect
411. C59#23040semidirect
420. C2×SD16C2×Dic59semidirect
423. C2×M16C2×Dic59semidirect
429. C22⋊Q8C2×Dic59semidirect
468. #107C2×Dic59semidirect
473. #103C2×Dic59semidirect
476. #102C2×Dic59semidirect
652. C8D4×Dic59semidirect

Maximal subgroups

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

subgroupindex
C2×#168375032
C2×#168374442
#214271272
#214271162
#214249522
#214248352
#214247322
#214247182
#214244192
#214244042
#214243592
#214243522
#107×Dic592
#214238772
C2×C59×#4682
#2304059