Finite Group Databasebeta

← C59×#14023 #28426132

Subgroups — C59×#14023 #28426132

Order 15104.

3166 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#121×C59C211yesmaximal, characteristic
2C22×C4×D4×C59C211yesmaximal, characteristic, complemented
3C2×C59×#386C211yesmaximal, characteristic, complemented
4C2×C59×#386C211yesmaximal, characteristic, complemented
5C2×C59×#386C211yesmaximal, characteristic, complemented
6C2×C59×#386C211yesmaximal, characteristic, complemented
7C22×#95×C59C211yesmaximal, characteristic, complemented
8C59×#1441C211yesmaximal, characteristic, complemented
9C59×#1440C211yesmaximal, characteristic, complemented
10C59×#1439C211yesmaximal, characteristic, complemented
11C59×#1438C211yesmaximal, characteristic, complemented
12C59×#1437C211yesmaximal, characteristic, complemented
13C59×#1436C211yesmaximal, characteristic, complemented
14C59×C22⋊#95C211yesmaximal, characteristic, complemented
15C59×C22⋊#95C211yesmaximal, characteristic, complemented
16C23×D4×C59C2211yescharacteristic
17C23×D4×C59C2211yescharacteristic
18C23×D4×C59C2211yescharacteristic
19C24×C4×C59C2211yescharacteristic
20C24×C4×C59C2211yescharacteristic
21C24×C4×C59C2211yescharacteristic
22C24×C4×C59C2211yescharacteristic
23C2×#121×C59—24no—
24C2×#121×C59—24no—
25C2×#121×C59C418yescomplemented
26C2×C4×D4×C59—24no—
27C2×C4×D4×C59—24no—
28C2×C4×D4×C59—24no—
29C22×C4⋊C4×C59C2211yescharacteristic
30C22×C4⋊C4×C59C2211yescharacteristic
31C22×C22⋊C4×C59C2211yescharacteristic
32C22×C22⋊C4×C59C2211yescharacteristic
33C22×C22⋊C4×C59C2211yescharacteristic
34C22×C22⋊C4×C59C2211yescharacteristic
35C22×C22⋊C4×C59C2211yescharacteristic
36C22×C22⋊C4×C59C2211yescharacteristic
37C22×C22⋊C4×C59C2211yescharacteristic
38C22×C22⋊C4×C59C2211yescharacteristic
39C22×C22⋊C4×C59C2211yescharacteristic
40C22×C22⋊C4×C59C2211yescharacteristic
41C22×C22⋊C4×C59C2211yescharacteristic
42C22×C42×C59C2211yescharacteristic
43C59×#386—24no—
44C59×#386—24no—
45C59×#386—24no—
46C59×#386—24no—
47C2×#95×C59—24no—
48C2×#95×C59C2211yescharacteristic
49C2×#95×C59C2211yescharacteristic
50C2×#95×C59C2211yescharacteristic
51C2×#95×C59C2211yescharacteristic
52C2×#95×C59C2211yescharacteristic
53C2×#95×C59C2211yescharacteristic
54C2×#95×C59C2211yescharacteristic
55C2×#95×C59C2211yescharacteristic
56C2×#95×C59C2211yescharacteristic
57C2×#95×C59C2211yescharacteristic
58C2×#95×C59C2211yescharacteristic
59C2×#95×C59C2211yescharacteristic
60C2×#95×C59C2211yescharacteristic
61C2×#95×C59C2211yescharacteristic
62C25×C59C2311yescharacteristic
63C25×C59C2311yescharacteristic
64C25×C59C2311yescharacteristic
65C22×D4×C59—22no—
66C22×D4×C59—22no—
67C22×D4×C59—22no—
68C22×D4×C59—22no—
69C22×D4×C59—22no—
70C22×D4×C59—22no—
71C22×D4×C59—22no—
72C22×D4×C59—22no—
73C22×D4×C59—22no—
74C22×D4×C59—22no—
75C22×D4×C59—22no—
76C22×D4×C59—22no—
77C22×D4×C59—22no—
78C22×D4×C59—22no—
79C22×D4×C59—41no—
80C22×D4×C59—41no—
81C22×D4×C59C2×C414yes—
82C22×D4×C59C2×C414yescomplemented
83C22×D4×C59C2×C414yescomplemented
84C22×D4×C59D414yes—
85C22×D4×C59D414yes—
86C23×C4×C59—22no—
87C23×C4×C59—22no—
88C23×C4×C59—22no—
89C23×C4×C59—22no—
90C23×C4×C59—22no—
91C23×C4×C59—22no—
92C23×C4×C59—22no—
93C23×C4×C59—22no—
94C23×C4×C59—22no—
95C23×C4×C59—22no—
96C23×C4×C59—22no—
97C23×C4×C59—22no—
98C23×C4×C59—22no—
99C23×C4×C59—22no—
100C23×C4×C59—22no—
101C23×C4×C59—22no—
102C23×C4×C59—22no—
103C23×C4×C59—22no—
104C23×C4×C59—41no—
105C23×C4×C59—41no—
106C23×C4×C59—41no—
107C23×C4×C59—41no—
108C23×C4×C59—41no—
109C23×C4×C59—41no—
110C23×C4×C59—41no—
111C23×C4×C59—41no—
112C23×C4×C59C2×C414yescomplemented
113C23×C4×C59D414yescomplemented
114C23×C4×C59C2311yescharacteristic
115C23×C4×C59C2311yescharacteristic
116C23×C4×C59C2311yescharacteristic
117C23×C4×C59C2311yescharacteristic
118C23×C4×C59C2311yescharacteristic
119C23×C4×C59C2311yescharacteristic
120C23×C4×C59C2311yescharacteristic
121C23×C4×C59C2311yescharacteristic
122C23×C4×C59C2311yescharacteristic
123C23×C4×C59C2311yescharacteristic
124C23×C4×C59C2311yescharacteristic
125C23×C4×C59C2311yescharacteristic
126#121×C59—232no—
127C4×D4×C59—232no—
128C2×C4⋊C4×C59—22no—
129C2×C4⋊C4×C59—22no—
130C2×C4⋊C4×C59—22no—
131C2×C4⋊C4×C59—22no—
132C2×C4⋊C4×C59—22no—
133C2×C4⋊C4×C59C2×C414yescomplemented
134C2×C22⋊C4×C59—22no—
135C2×C22⋊C4×C59—22no—
136C2×C22⋊C4×C59—22no—
137C2×C22⋊C4×C59—22no—
138C2×C22⋊C4×C59—22no—
139C2×C22⋊C4×C59—22no—
140C2×C22⋊C4×C59—22no—
141C2×C22⋊C4×C59—22no—
142C2×C22⋊C4×C59—22no—
143C2×C22⋊C4×C59—22no—
144C2×C22⋊C4×C59—22no—
145C2×C22⋊C4×C59—22no—
146C2×C22⋊C4×C59—22no—
147C2×C22⋊C4×C59—22no—
148C2×C22⋊C4×C59—22no—
149C2×C22⋊C4×C59—22no—
150C2×C22⋊C4×C59—22no—
151C2×C22⋊C4×C59—22no—
152C2×C22⋊C4×C59—22no—
153C2×C22⋊C4×C59—22no—
154C2×C22⋊C4×C59—22no—
155C2×C22⋊C4×C59—22no—
156C2×C22⋊C4×C59—22no—
157C2×C22⋊C4×C59—22no—
158C2×C22⋊C4×C59—41no—
159C2×C22⋊C4×C59—41no—
160C2×C22⋊C4×C59—41no—
161C2×C22⋊C4×C59—41no—
162C2×C22⋊C4×C59—41no—
163C2×C22⋊C4×C59—41no—
164C2×C22⋊C4×C59C2×C414yescomplemented
165C2×C22⋊C4×C59C2×C414yescomplemented
166C2×C22⋊C4×C59D414yescomplemented
167C2×C42×C59—22no—
168C2×C42×C59—22no—
169C2×C42×C59—22no—
170#95×C59—22no—
171#95×C59—22no—
172#95×C59—22no—
173#95×C59—22no—
174#95×C59—22no—
175#95×C59—22no—
176#95×C59—22no—
177#95×C59—22no—
178#95×C59—22no—
179#95×C59—22no—
180#95×C59—22no—
181#95×C59—41no—
182#95×C59—41no—
183#95×C59D414yescomplemented
184C24×C59—21no—
185C24×C59—21no—
186C24×C59—21no—
187C24×C59—21no—
188C24×C59—21no—
189C24×C59—21no—
190C24×C59—21no—
191C24×C59—21no—
192C24×C59—21no—
193C24×C59—21no—
194C24×C59—21no—
195C24×C59—21no—
196C24×C59—21no—
197C24×C59—21no—
198C24×C59—21no—
199C24×C59—21no—
200C24×C59—21no—
201C24×C59—21no—
202C24×C59—21no—
203C24×C59—21no—
204C24×C59—21no—
205C24×C59—21no—
206C24×C59—21no—
207C24×C59—21no—
208C24×C59—21no—
209C24×C59—21no—
210C24×C59—21no—
211C24×C59—21no—
212C24×C59—21no—
213C24×C59—21no—
214C24×C59—21no—
215C24×C59—21no—
216C24×C59—21no—
217C24×C59—21no—
218C24×C59C22×C412yes—
219C24×C59C22×C412yes—
220C24×C59C22×C412yes—
221C24×C59C2×D412yes—
222C24×C59C2×D412yes—
223C24×C59C2×D412yes—
224C24×C59C2×D412yes—
225C24×C59C2×D412yes—
226C24×C59C2×D412yes—
227C24×C59#4112yes—
228C24×C59#4112yes—
229C24×C59C2411yescharacteristic
230C2×D4×C59—28no—
231C2×D4×C59—28no—
232C2×D4×C59—28no—
233C2×D4×C59—28no—
234C2×D4×C59—28no—
235C2×D4×C59—28no—
236C2×D4×C59—28no—
237C2×D4×C59—28no—
238C2×D4×C59—28no—
239C2×D4×C59—28no—
240C2×D4×C59—28no—
241C2×D4×C59—44no—
242C2×D4×C59—44no—
243C2×D4×C59—44no—
244C2×D4×C59—44no—
245C2×D4×C59—44no—
246C2×D4×C59—44no—
247C2×D4×C59—44no—
248C2×D4×C59—44no—
249C2×D4×C59—44no—
250C2×D4×C59C22⋊C4116yescomplemented
251C22×C4×C59—21no—
252C22×C4×C59—21no—
253C22×C4×C59—21no—
254C22×C4×C59—21no—
255C22×C4×C59—21no—
256C22×C4×C59—21no—
257C22×C4×C59—21no—
258C22×C4×C59—21no—
259C22×C4×C59—21no—
260C22×C4×C59—21no—
261C22×C4×C59—21no—
262C22×C4×C59—21no—
263C22×C4×C59—28no—
264C22×C4×C59—28no—
265C22×C4×C59—28no—
266C22×C4×C59—28no—
267C22×C4×C59—21no—
268C22×C4×C59—21no—
269C22×C4×C59—21no—
270C22×C4×C59—21no—
271C22×C4×C59—21no—
272C22×C4×C59—21no—
273C22×C4×C59—21no—
274C22×C4×C59—21no—
275C22×C4×C59—21no—
276C22×C4×C59—21no—
277C22×C4×C59—21no—
278C22×C4×C59—21no—
279C22×C4×C59—21no—
280C22×C4×C59—21no—
281C22×C4×C59—21no—
282C22×C4×C59—21no—
283C22×C4×C59—21no—
284C22×C4×C59—21no—
285C22×C4×C59—21no—
286C22×C4×C59—21no—
287C22×C4×C59—21no—
288C22×C4×C59—21no—
289C22×C4×C59—21no—
290C22×C4×C59—21no—
291C22×C4×C59—21no—
292C22×C4×C59—21no—
293C22×C4×C59—21no—
294C22×C4×C59—21no—
295C22×C4×C59—21no—
296C22×C4×C59—21no—
297C22×C4×C59—21no—
298C22×C4×C59—21no—
299C22×C4×C59—21no—
300C22×C4×C59—21no—
301C22×C4×C59—21no—
302C22×C4×C59—21no—
303C22×C4×C59—21no—
304C22×C4×C59—21no—
305C22×C4×C59—21no—
306C22×C4×C59—21no—
307C22×C4×C59—21no—
308C22×C4×C59—21no—
309C22×C4×C59—28no—
310C22×C4×C59—28no—
311C22×C4×C59—21no—
312C22×C4×C59—21no—
313C22×C4×C59—21no—
314C22×C4×C59—21no—
315C22×C4×C59—21no—
316C22×C4×C59—21no—
317C22×C4×C59—21no—
318C22×C4×C59—21no—
319C22×C4×C59—21no—
320C22×C4×C59—21no—
321C22×C4×C59—21no—
322C22×C4×C59—21no—
323C22×C4×C59—21no—
324C22×C4×C59—21no—
325C22×C4×C59—44no—
326C22×C4×C59—44no—
327C22×C4×C59—44no—
328C22×C4×C59—44no—
329C22×C4×C59—44no—
330C22×C4×C59—44no—
331C22×C4×C59—44no—
332C22×C4×C59—44no—
333C22×C4×C59—44no—
334C22×C4×C59—44no—
335C22×C4×C59—44no—
336C22×C4×C59—44no—
337C22×C4×C59—44no—
338C22×C4×C59—44no—
339C22×C4×C59—44no—
340C22×C4×C59—44no—
341C22×C4×C59—44no—
342C22×C4×C59—44no—
343C22×C4×C59—44no—
344C22×C4×C59—44no—
345C22×C4×C59—44no—
346C22×C4×C59—44no—
347C22×C4×C59C22×C412yes—
348C22×C4×C59C22×C412yes—
349C22×C4×C59C22×C412yes—
350C22×C4×C59C22×C412yes—
351C22×C4×C59C2×D412yes—
352C22×C4×C59C2×D412yes—
353C22×C4×C59C2×D412yes—
354C22×C4×C59C2×D412yes—
355C22×C4×C59C2×D412yes—
356C22×C4×C59C2×D412yes—
357C22×C4×C59C2×D412yes—
358C22×C4×C59C2×D412yes—
359C22×C4×C59C2×D412yes—
360C22×C4×C59#4112yes—
361C22×C4×C59#4112yes—
362C22×C4×C59#4112yes—
363C4⋊C4×C59—28no—
364C4⋊C4×C59—28no—
365C22⋊C4×C59—28no—
366C22⋊C4×C59—28no—
367C22⋊C4×C59—28no—
368C22⋊C4×C59—28no—
369C22⋊C4×C59—44no—
370C22⋊C4×C59—44no—
371C22⋊C4×C59—44no—
372C22⋊C4×C59—44no—
373C22⋊C4×C59—44no—
374C22⋊C4×C59—44no—
375C22⋊C4×C59—44no—
376C42×C59—28no—
377C23×C59—22no—
378C23×C59—22no—
379C23×C59—22no—
380C23×C59—22no—
381C23×C59—22no—
382C23×C59—22no—
383C23×C59—22no—
384C23×C59—22no—
385C23×C59—22no—
386C23×C59—22no—
387C23×C59—22no—
388C23×C59—22no—
389C23×C59—22no—
390C23×C59—22no—
391C23×C59—22no—
392C23×C59—22no—
393C23×C59—22no—
394C23×C59—22no—
395C23×C59—22no—
396C23×C59—22no—
397C23×C59—22no—
398C23×C59—22no—
399C23×C59—22no—
400C23×C59—22no—
401C23×C59—22no—
402C23×C59—22no—
403C23×C59—22no—
404C23×C59—22no—
405C23×C59—22no—
406C23×C59—22no—
407C23×C59—22no—
408C23×C59—22no—
409C23×C59—22no—
410C23×C59—22no—
411C23×C59—22no—
412C23×C59—22no—
413C23×C59—22no—
414C23×C59—22no—
415C23×C59—22no—
416C23×C59—22no—
417C23×C59—22no—
418C23×C59—22no—
419C23×C59—22no—
420C23×C59—22no—
421C23×C59—22no—
422C23×C59—22no—
423C23×C59—22no—
424C23×C59—22no—
425C23×C59—22no—
426C23×C59—22no—
427C23×C59—22no—
428C23×C59—22no—
429C23×C59—22no—
430C23×C59—41no—
431C23×C59—41no—
432C23×C59—41no—
433C23×C59—41no—
434C23×C59—41no—
435C23×C59—41no—
436C23×C59—41no—
437C23×C59—41no—
438C23×C59—41no—
439C23×C59—41no—
440C23×C59—41no—
441C23×C59—41no—
442C23×C59—41no—
443C23×C59—41no—
444C23×C59—41no—
445C23×C59—41no—
446C23×C59—41no—
447C23×C59—41no—
448C23×C59—41no—
449C23×C59—41no—
450C23×C59—41no—
451C23×C59—41no—
452C23×C59—41no—
453C23×C59—41no—
454C23×C59—41no—
455C23×C59—41no—
456C23×C59—41no—
457C23×C59—41no—
458C23×C59—41no—
459C23×C59—41no—
460C23×C59—41no—
461C23×C59—41no—
462C23×C59—41no—
463C23×C59—41no—
464C23×C59—41no—
465C23×C59—41no—
466C23×C59—41no—
467C23×C59—41no—
468C23×C59—41no—
469C23×C59—41no—
470C23×C59—41no—
471C23×C59—41no—
472C23×C59—41no—
473C23×C59—41no—
474C23×C59C2×C22⋊C414yes—
475C23×C59C2×C22⋊C414yes—
476C23×C59C4×D414yes—
477C23×C59C4×D414yes—
478C23×C59#12014yes—
479C23×C59#12114yes—
480C23×C59#12114yes—
481C23×C59#12314yes—
482C23×C59C23×C411yescharacteristic
483C23×C59C22×D411yescharacteristic
484C23×C59C22×D411yescharacteristic
485C23×C59C22×D411yescharacteristic
486C23×C59C22×D411yescharacteristic
487C23×C59C22×D411yescharacteristic
488C23×C59C2×#4111yescharacteristic
489C23×C59C2×#4111yescharacteristic
490C23×C59C2×#4111yescharacteristic
491C23×C59C2×#4111yescharacteristic
492C23×C59C2×#4111yescharacteristic
493C23×C59H(5,𝔽2)11yescharacteristic
494C23×C59H(5,𝔽2)11yescharacteristic
495C23×C59H(5,𝔽2)11yescharacteristic
496C23×C592−1+411yescharacteristic
497D4×C59—232no—
498D4×C59—416no—
499D4×C59—416no—
500C2×C4×C59—22no—
501C2×C4×C59—22no—
502C2×C4×C59—22no—
503C2×C4×C59—22no—
504C2×C4×C59—22no—
505C2×C4×C59—22no—
506C2×C4×C59—22no—
507C2×C4×C59—22no—
508C2×C4×C59—22no—
509C2×C4×C59—22no—
510C2×C4×C59—22no—
511C2×C4×C59—22no—
512C2×C4×C59—22no—
513C2×C4×C59—22no—
514C2×C4×C59—22no—
515C2×C4×C59—22no—
516C2×C4×C59—22no—
517C2×C4×C59—22no—
518C2×C4×C59—22no—
519C2×C4×C59—22no—
520C2×C4×C59—22no—
521C2×C4×C59—22no—
522C2×C4×C59—22no—
523C2×C4×C59—22no—
524C2×C4×C59—22no—
525C2×C4×C59—22no—
526C2×C4×C59—22no—
527C2×C4×C59—22no—
528C2×C4×C59—22no—
529C2×C4×C59—22no—
530C2×C4×C59—22no—
531C2×C4×C59—22no—
532C2×C4×C59—22no—
533C2×C4×C59—22no—
534C2×C4×C59—22no—
535C2×C4×C59—22no—
536C2×C4×C59—22no—
537C2×C4×C59—22no—
538C2×C4×C59—22no—
539C2×C4×C59—416no—
540C2×C4×C59—416no—
541C2×C4×C59—416no—
542C2×C4×C59—416no—
543C2×C4×C59—41no—
544C2×C4×C59—41no—
545C2×C4×C59—41no—
546C2×C4×C59—41no—
547C2×C4×C59—41no—
548C2×C4×C59—41no—
549C2×C4×C59—41no—
550C2×C4×C59—41no—
551C2×C4×C59—41no—
552C2×C4×C59—41no—
553C2×C4×C59—41no—
554C2×C4×C59—41no—
555C2×C4×C59—41no—
556C2×C4×C59—41no—
557C2×C4×C59—41no—
558C2×C4×C59—41no—
559C2×C4×C59—41no—
560C2×C4×C59—41no—
561C2×C4×C59—41no—
562C2×C4×C59—41no—
563C2×C4×C59—41no—
564C2×C4×C59—41no—
565C2×C4×C59—41no—
566C2×C4×C59—41no—
567C2×C4×C59—41no—
568C2×C4×C59—41no—
569C2×C4×C59—41no—
570C2×C4×C59—41no—
571C2×C4×C59—41no—
572C2×C4×C59—41no—
573C2×C4×C59—41no—
574C2×C4×C59—41no—
575C2×C4×C59—41no—
576C2×C4×C59—41no—
577C2×C4×C59—41no—
578C2×C4×C59—41no—
579C2×C4×C59—41no—
580C2×C4×C59—41no—
581C2×C4×C59—41no—
582C2×C4×C59—41no—
583C2×C4×C59—41no—
584C2×C4×C59—41no—
585C2×C4×C59C2×C22⋊C414yes—
586C2×C4×C59C4×D414yescomplemented
587C2×C4×C59#12114yescomplemented
588#14023C5911yesmaximal, characteristic, direct product factor, Sylow
589C22×C59—24no—
590C22×C59—24no—
591C22×C59—24no—
592C22×C59—24no—
593C22×C59—24no—
594C22×C59—24no—
595C22×C59—24no—
596C22×C59—24no—
597C22×C59—24no—
598C22×C59—24no—
599C22×C59—24no—
600C22×C59—24no—
601C22×C59—24no—
602C22×C59—24no—
603C22×C59—24no—
604C22×C59—24no—
605C22×C59—24no—
606C22×C59—42no—
607C22×C59—42no—
608C22×C59—42no—
609C22×C59—42no—
610C22×C59—42no—
611C22×C59—42no—
612C22×C59—42no—
613C22×C59—42no—
614C22×C59—42no—
615C22×C59—42no—
616C22×C59—42no—
617C22×C59—42no—
618C22×C59—42no—
619C22×C59—42no—
620C22×C59—42no—
621C22×C59—42no—
622C22×C59—42no—
623C22×C59—42no—
624C22×C59—42no—
625C22×C59—81no—
626C22×C59—81no—
627C22×C59—81no—
628C22×C59—81no—
629C22×C59—81no—
630C22×C59—81no—
631C22×C59—81no—
632C22×C59—81no—
633C22×C59#38618yescomplemented
634C22×C59C22×C22⋊C411yescharacteristic
635C22×C59C2×C4×D411yescharacteristic
636C22×C59C2×C4×D411yescharacteristic
637C22×C59C2×C4×D411yescharacteristic
638C22×C59C4×#4111yescharacteristic
639C22×C59#51811yescharacteristic
640C22×C59#52011yescharacteristic
641C22×C59C2×#12011yescharacteristic
642C22×C59C2×#12111yescharacteristic
643C22×C59C2×#12111yescharacteristic
644C22×C59C2×#12111yescharacteristic
645C22×C59C2×#12311yescharacteristic
646C22×C59#52511yescharacteristic
647C22×C59#52911yescharacteristic
648C22×C59#53211yescharacteristic
649C22×C59#53411yescharacteristic
650C22×C59#53711yescharacteristic
651C22×C59#53811yescharacteristic
652C22×C59#53911yescharacteristic
653C22×C59D4211yescharacteristic
654C22×C59D4211yescharacteristic
655C22×C59D4211yescharacteristic
656C22×C59#54611yescharacteristic
657C22×C59#54611yescharacteristic
658C22×C59#54611yescharacteristic
659C22×C59#54611yescharacteristic
660C22×C59#54611yescharacteristic
661C22×C59#54611yescharacteristic
662C22×C59#54711yescharacteristic
663C22×C59#54711yescharacteristic
664C22×C59#54711yescharacteristic
665C22×C59#54811yescharacteristic
666C22×C59#55311yescharacteristic
667C22×C59#55311yescharacteristic
668C22×C59#55311yescharacteristic
669C4×C59—24no—
670C4×C59—24no—
671C4×C59—24no—
672C4×C59—42no—
673C4×C59—42no—
674C4×C59—42no—
675C4×C59—42no—
676C4×C59—42no—
677C4×C59—42no—
678C4×C59—42no—
679C4×C59—81no—
680C4×C59—81no—
681C22×#121C2×C5911yescharacteristic
682C22×C4×D4C2×C5911yescharacteristic, complemented
683C2×#386C2×C5911yescharacteristic, complemented
684C2×#386C2×C5911yescharacteristic, complemented
685C2×#386C2×C5911yescharacteristic, complemented
686C2×#386C2×C5911yescharacteristic, complemented
687C22×#95C2×C5911yescharacteristic, complemented
688#1441C2×C5911yescharacteristic, complemented
689#1440C2×C5911yescharacteristic, complemented
690#1439C2×C5911yescharacteristic, complemented
691#1438C2×C5911yescharacteristic, complemented
692#1437C2×C5911yescharacteristic, complemented
693#1436C2×C5911yescharacteristic, complemented
694C22⋊#95C2×C5911yescharacteristic, complemented
695C22⋊#95C2×C5911yescharacteristic, complemented
696C2×C59—28no—
697C2×C59—44no—
698C2×C59—82no—
699C2×C59C2×#38611yescharacteristic
700C2×C59C4×#12111yescharacteristic
701C2×C59#232511yescharacteristic
702C2×C59D4×C22⋊C411yescharacteristic
703C2×C59#233911yescharacteristic
704C2×C59#236111yescharacteristic
705C2×C59#236411yescharacteristic
706C2×C59#241011yescharacteristic
707C2×C59#241611yescharacteristic
708C2×C59#242411yescharacteristic
709C2×C59#242511yescharacteristic
710C2×C59#243011yescharacteristic
711C2×C59#244311yescharacteristic
712C2×C59#244411yescharacteristic
713C2×C59#254311yescharacteristic
714C23×D4C22×C5911yescharacteristic
715C23×D4C22×C5911yescharacteristic
716C23×D4C22×C5911yescharacteristic
717C24×C4C22×C5911yescharacteristic
718C24×C4C22×C5911yescharacteristic
719C24×C4C22×C5911yescharacteristic
720C24×C4C22×C5911yescharacteristic
721C2×#121—24no—
722C2×#121—24no—
723C2×#121C4×C5918yescomplemented
724C2×C4×D4—24no—
725C2×C4×D4—24no—
726C2×C4×D4—24no—
727C22×C4⋊C4C22×C5911yescharacteristic
728C22×C4⋊C4C22×C5911yescharacteristic
729C22×C22⋊C4C22×C5911yescharacteristic
730C22×C22⋊C4C22×C5911yescharacteristic
731C22×C22⋊C4C22×C5911yescharacteristic
732C22×C22⋊C4C22×C5911yescharacteristic
733C22×C22⋊C4C22×C5911yescharacteristic
734C22×C22⋊C4C22×C5911yescharacteristic
735C22×C22⋊C4C22×C5911yescharacteristic
736C22×C22⋊C4C22×C5911yescharacteristic
737C22×C22⋊C4C22×C5911yescharacteristic
738C22×C22⋊C4C22×C5911yescharacteristic
739C22×C22⋊C4C22×C5911yescharacteristic
740C22×C42C22×C5911yescharacteristic
741#386—24no—
742#386—24no—
743#386—24no—
744#386—24no—
745C2×#95—24no—
746C2×#95C22×C5911yescharacteristic
747C2×#95C22×C5911yescharacteristic
748C2×#95C22×C5911yescharacteristic
749C2×#95C22×C5911yescharacteristic
750C2×#95C22×C5911yescharacteristic
751C2×#95C22×C5911yescharacteristic
752C2×#95C22×C5911yescharacteristic
753C2×#95C22×C5911yescharacteristic
754C2×#95C22×C5911yescharacteristic
755C2×#95C22×C5911yescharacteristic
756C2×#95C22×C5911yescharacteristic
757C2×#95C22×C5911yescharacteristic
758C2×#95C22×C5911yescharacteristic
759C2×#95C22×C5911yescharacteristic
760C59#1402311yescharacteristic, direct product factor, Sylow
761C25C23×C5911yescharacteristic
762C25C23×C5911yescharacteristic
763C25C23×C5911yescharacteristic
764C22×D4—22no—
765C22×D4—22no—
766C22×D4—22no—
767C22×D4—22no—
768C22×D4—22no—
769C22×D4—22no—
770C22×D4—22no—
771C22×D4—22no—
772C22×D4—22no—
773C22×D4—22no—
774C22×D4—22no—
775C22×D4—22no—
776C22×D4—22no—
777C22×D4—22no—
778C22×D4—41no—
779C22×D4—41no—
780C22×D4C2×C4×C5914yes—
781C22×D4C2×C4×C5914yescomplemented
782C22×D4C2×C4×C5914yescomplemented
783C22×D4D4×C5914yes—
784C22×D4D4×C5914yes—
785C23×C4—22no—
786C23×C4—22no—
787C23×C4—22no—
788C23×C4—22no—
789C23×C4—22no—
790C23×C4—22no—
791C23×C4—22no—
792C23×C4—22no—
793C23×C4—22no—
794C23×C4—22no—
795C23×C4—22no—
796C23×C4—22no—
797C23×C4—22no—
798C23×C4—22no—
799C23×C4—22no—
800C23×C4—22no—
801C23×C4—22no—
802C23×C4—22no—
803C23×C4—41no—
804C23×C4—41no—
805C23×C4—41no—
806C23×C4—41no—
807C23×C4—41no—
808C23×C4—41no—
809C23×C4—41no—
810C23×C4—41no—
811C23×C4C2×C4×C5914yescomplemented
812C23×C4D4×C5914yescomplemented
813C23×C4C23×C5911yescharacteristic
814C23×C4C23×C5911yescharacteristic
815C23×C4C23×C5911yescharacteristic
816C23×C4C23×C5911yescharacteristic
817C23×C4C23×C5911yescharacteristic
818C23×C4C23×C5911yescharacteristic
819C23×C4C23×C5911yescharacteristic
820C23×C4C23×C5911yescharacteristic
821C23×C4C23×C5911yescharacteristic
822C23×C4C23×C5911yescharacteristic
823C23×C4C23×C5911yescharacteristic
824C23×C4C23×C5911yescharacteristic
825#121—232no—
826C4×D4—232no—
827C2×C4⋊C4—22no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—22no—
830C2×C4⋊C4—22no—
831C2×C4⋊C4—22no—
832C2×C4⋊C4C2×C4×C5914yescomplemented
833C2×C22⋊C4—22no—
834C2×C22⋊C4—22no—
835C2×C22⋊C4—22no—
836C2×C22⋊C4—22no—
837C2×C22⋊C4—22no—
838C2×C22⋊C4—22no—
839C2×C22⋊C4—22no—
840C2×C22⋊C4—22no—
841C2×C22⋊C4—22no—
842C2×C22⋊C4—22no—
843C2×C22⋊C4—22no—
844C2×C22⋊C4—22no—
845C2×C22⋊C4—22no—
846C2×C22⋊C4—22no—
847C2×C22⋊C4—22no—
848C2×C22⋊C4—22no—
849C2×C22⋊C4—22no—
850C2×C22⋊C4—22no—
851C2×C22⋊C4—22no—
852C2×C22⋊C4—22no—
853C2×C22⋊C4—22no—
854C2×C22⋊C4—22no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—41no—
858C2×C22⋊C4—41no—
859C2×C22⋊C4—41no—
860C2×C22⋊C4—41no—
861C2×C22⋊C4—41no—
862C2×C22⋊C4—41no—
863C2×C22⋊C4C2×C4×C5914yescomplemented
864C2×C22⋊C4C2×C4×C5914yescomplemented
865C2×C22⋊C4D4×C5914yescomplemented
866C2×C42—22no—
867C2×C42—22no—
868C2×C42—22no—
869#95—22no—
870#95—22no—
871#95—22no—
872#95—22no—
873#95—22no—
874#95—22no—
875#95—22no—
876#95—22no—
877#95—22no—
878#95—22no—
879#95—22no—
880#95—41no—
881#95—41no—
882#95D4×C5914yescomplemented
883C24—21no—
884C24—21no—
885C24—21no—
886C24—21no—
887C24—21no—
888C24—21no—
889C24—21no—
890C24—21no—
891C24—21no—
892C24—21no—
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—21no—
900C24—21no—
901C24—21no—
902C24—21no—
903C24—21no—
904C24—21no—
905C24—21no—
906C24—21no—
907C24—21no—
908C24—21no—
909C24—21no—
910C24—21no—
911C24—21no—
912C24—21no—
913C24—21no—
914C24—21no—
915C24—21no—
916C24—21no—
917C24C22×C4×C5912yes—
918C24C22×C4×C5912yes—
919C24C22×C4×C5912yes—
920C24C2×D4×C5912yes—
921C24C2×D4×C5912yes—
922C24C2×D4×C5912yes—
923C24C2×D4×C5912yes—
924C24C2×D4×C5912yes—
925C24C2×D4×C5912yes—
926C24#41×C5912yes—
927C24#41×C5912yes—
928C24C24×C5911yescharacteristic
929C2×D4—28no—
930C2×D4—28no—
931C2×D4—28no—
932C2×D4—28no—
933C2×D4—28no—
934C2×D4—28no—
935C2×D4—28no—
936C2×D4—28no—
937C2×D4—28no—
938C2×D4—28no—
939C2×D4—28no—
940C2×D4—44no—
941C2×D4—44no—
942C2×D4—44no—
943C2×D4—44no—
944C2×D4—44no—
945C2×D4—44no—
946C2×D4—44no—
947C2×D4—44no—
948C2×D4—44no—
949C2×D4C22⋊C4×C59116yescomplemented
950C22×C4—21no—
951C22×C4—21no—
952C22×C4—21no—
953C22×C4—21no—
954C22×C4—21no—
955C22×C4—21no—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—28no—
963C22×C4—28no—
964C22×C4—28no—
965C22×C4—28no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—28no—
1009C22×C4—28no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—44no—
1030C22×C4—44no—
1031C22×C4—44no—
1032C22×C4—44no—
1033C22×C4—44no—
1034C22×C4—44no—
1035C22×C4—44no—
1036C22×C4—44no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—44no—
1042C22×C4—44no—
1043C22×C4—44no—
1044C22×C4—44no—
1045C22×C4—44no—
1046C22×C4C22×C4×C5912yes—
1047C22×C4C22×C4×C5912yes—
1048C22×C4C22×C4×C5912yes—
1049C22×C4C22×C4×C5912yes—
1050C22×C4C2×D4×C5912yes—
1051C22×C4C2×D4×C5912yes—
1052C22×C4C2×D4×C5912yes—
1053C22×C4C2×D4×C5912yes—
1054C22×C4C2×D4×C5912yes—
1055C22×C4C2×D4×C5912yes—
1056C22×C4C2×D4×C5912yes—
1057C22×C4C2×D4×C5912yes—
1058C22×C4C2×D4×C5912yes—
1059C22×C4#41×C5912yes—
1060C22×C4#41×C5912yes—
1061C22×C4#41×C5912yes—
1062C4⋊C4—28no—
1063C4⋊C4—28no—
1064C22⋊C4—28no—
1065C22⋊C4—28no—
1066C22⋊C4—28no—
1067C22⋊C4—28no—
1068C22⋊C4—44no—
1069C22⋊C4—44no—
1070C22⋊C4—44no—
1071C22⋊C4—44no—
1072C22⋊C4—44no—
1073C22⋊C4—44no—
1074C22⋊C4—44no—
1075C42—28no—
1076C23—22no—
1077C23—22no—
1078C23—22no—
1079C23—22no—
1080C23—22no—
1081C23—22no—
1082C23—22no—
1083C23—22no—
1084C23—22no—
1085C23—22no—
1086C23—22no—
1087C23—22no—
1088C23—22no—
1089C23—22no—
1090C23—22no—
1091C23—22no—
1092C23—22no—
1093C23—22no—
1094C23—22no—
1095C23—22no—
1096C23—22no—
1097C23—22no—
1098C23—22no—
1099C23—22no—
1100C23—22no—
1101C23—22no—
1102C23—22no—
1103C23—22no—
1104C23—22no—
1105C23—22no—
1106C23—22no—
1107C23—22no—
1108C23—22no—
1109C23—22no—
1110C23—22no—
1111C23—22no—
1112C23—22no—
1113C23—22no—
1114C23—22no—
1115C23—22no—
1116C23—22no—
1117C23—22no—
1118C23—22no—
1119C23—22no—
1120C23—22no—
1121C23—22no—
1122C23—22no—
1123C23—22no—
1124C23—22no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—41no—
1130C23—41no—
1131C23—41no—
1132C23—41no—
1133C23—41no—
1134C23—41no—
1135C23—41no—
1136C23—41no—
1137C23—41no—
1138C23—41no—
1139C23—41no—
1140C23—41no—
1141C23—41no—
1142C23—41no—
1143C23—41no—
1144C23—41no—
1145C23—41no—
1146C23—41no—
1147C23—41no—
1148C23—41no—
1149C23—41no—
1150C23—41no—
1151C23—41no—
1152C23—41no—
1153C23—41no—
1154C23—41no—
1155C23—41no—
1156C23—41no—
1157C23—41no—
1158C23—41no—
1159C23—41no—
1160C23—41no—
1161C23—41no—
1162C23—41no—
1163C23—41no—
1164C23—41no—
1165C23—41no—
1166C23—41no—
1167C23—41no—
1168C23—41no—
1169C23—41no—
1170C23—41no—
1171C23—41no—
1172C23—41no—
1173C23C2×C22⋊C4×C5914yes—
1174C23C2×C22⋊C4×C5914yes—
1175C23C4×D4×C5914yes—
1176C23C4×D4×C5914yes—
1177C23#120×C5914yes—
1178C23#121×C5914yes—
1179C23#121×C5914yes—
1180C23#123×C5914yes—
1181C23C23×C4×C5911yescharacteristic
1182C23C22×D4×C5911yescharacteristic
1183C23C22×D4×C5911yescharacteristic
1184C23C22×D4×C5911yescharacteristic
1185C23C22×D4×C5911yescharacteristic
1186C23C22×D4×C5911yescharacteristic
1187C23C2×#41×C5911yescharacteristic
1188C23C2×#41×C5911yescharacteristic
1189C23C2×#41×C5911yescharacteristic
1190C23C2×#41×C5911yescharacteristic
1191C23C2×#41×C5911yescharacteristic
1192C23H(5,𝔽2)×C5911yescharacteristic
1193C23H(5,𝔽2)×C5911yescharacteristic
1194C23H(5,𝔽2)×C5911yescharacteristic
1195C232−1+4×C5911yescharacteristic
1196D4—232no—
1197D4—416no—
1198D4—416no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—416no—
1239C2×C4—416no—
1240C2×C4—416no—
1241C2×C4—416no—
1242C2×C4—41no—
1243C2×C4—41no—
1244C2×C4—41no—
1245C2×C4—41no—
1246C2×C4—41no—
1247C2×C4—41no—
1248C2×C4—41no—
1249C2×C4—41no—
1250C2×C4—41no—
1251C2×C4—41no—
1252C2×C4—41no—
1253C2×C4—41no—
1254C2×C4—41no—
1255C2×C4—41no—
1256C2×C4—41no—
1257C2×C4—41no—
1258C2×C4—41no—
1259C2×C4—41no—
1260C2×C4—41no—
1261C2×C4—41no—
1262C2×C4—41no—
1263C2×C4—41no—
1264C2×C4—41no—
1265C2×C4—41no—
1266C2×C4—41no—
1267C2×C4—41no—
1268C2×C4—41no—
1269C2×C4—41no—
1270C2×C4—41no—
1271C2×C4—41no—
1272C2×C4—41no—
1273C2×C4—41no—
1274C2×C4—41no—
1275C2×C4—41no—
1276C2×C4—41no—
1277C2×C4—41no—
1278C2×C4—41no—
1279C2×C4—41no—
1280C2×C4—41no—
1281C2×C4—41no—
1282C2×C4—41no—
1283C2×C4—41no—
1284C2×C4C2×C22⋊C4×C5914yes—
1285C2×C4C4×D4×C5914yescomplemented
1286C2×C4#121×C5914yescomplemented
1287C22—24no—
1288C22—24no—
1289C22—24no—
1290C22—24no—
1291C22—24no—
1292C22—24no—
1293C22—24no—
1294C22—24no—
1295C22—24no—
1296C22—24no—
1297C22—24no—
1298C22—24no—
1299C22—24no—
1300C22—24no—
1301C22—24no—
1302C22—24no—
1303C22—24no—
1304C22—42no—
1305C22—42no—
1306C22—42no—
1307C22—42no—
1308C22—42no—
1309C22—42no—
1310C22—42no—
1311C22—42no—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—42no—
1317C22—42no—
1318C22—42no—
1319C22—42no—
1320C22—42no—
1321C22—42no—
1322C22—42no—
1323C22—81no—
1324C22—81no—
1325C22—81no—
1326C22—81no—
1327C22—81no—
1328C22—81no—
1329C22—81no—
1330C22—81no—
1331C22C59×#38618yescomplemented
1332C22C22×C22⋊C4×C5911yescharacteristic
1333C22C2×C4×D4×C5911yescharacteristic
1334C22C2×C4×D4×C5911yescharacteristic
1335C22C2×C4×D4×C5911yescharacteristic
1336C22C4×#41×C5911yescharacteristic
1337C22C59×#51811yescharacteristic
1338C22C59×#52011yescharacteristic
1339C22C2×#120×C5911yescharacteristic
1340C22C2×#121×C5911yescharacteristic
1341C22C2×#121×C5911yescharacteristic
1342C22C2×#121×C5911yescharacteristic
1343C22C2×#123×C5911yescharacteristic
1344C22C59×#52511yescharacteristic
1345C22C59×#52911yescharacteristic
1346C22C59×#53211yescharacteristic
1347C22C59×#53411yescharacteristic
1348C22C59×#53711yescharacteristic
1349C22C59×#53811yescharacteristic
1350C22C59×#53911yescharacteristic
1351C22D42×C5911yescharacteristic
1352C22D42×C5911yescharacteristic
1353C22D42×C5911yescharacteristic
1354C22C59×#54611yescharacteristic
1355C22C59×#54611yescharacteristic
1356C22C59×#54611yescharacteristic
1357C22C59×#54611yescharacteristic
1358C22C59×#54611yescharacteristic
1359C22C59×#54611yescharacteristic
1360C22C59×#54711yescharacteristic
1361C22C59×#54711yescharacteristic
1362C22C59×#54711yescharacteristic
1363C22C59×#54811yescharacteristic
1364C22C59×#55311yescharacteristic
1365C22C59×#55311yescharacteristic
1366C22C59×#55311yescharacteristic
1367C4—24no—
1368C4—24no—
1369C4—24no—
1370C4—42no—
1371C4—42no—
1372C4—42no—
1373C4—42no—
1374C4—42no—
1375C4—42no—
1376C4—42no—
1377C4—81no—
1378C4—81no—
1379C2—28no—
1380C2—44no—
1381C2—82no—
1382C2C2×C59×#38611yescharacteristic
1383C2C4×#121×C5911yescharacteristic
1384C2C59×#232511yescharacteristic
1385C2D4×C22⋊C4×C5911yescharacteristic
1386C2C59×#233911yescharacteristic
1387C2C59×#236111yescharacteristic
1388C2C59×#236411yescharacteristic
1389C2C59×#241011yescharacteristic
1390C2C59×#241611yescharacteristic
1391C2C59×#242411yescharacteristic
1392C2C59×#242511yescharacteristic
1393C2C59×#243011yescharacteristic
1394C2C59×#244311yescharacteristic
1395C2C59×#244411yescharacteristic
1396C2C59×#254311yescharacteristic
subgroupG/H
center, socleC24×C59C24
commutatorC23C23×C4×C59
Frattini, cosocleC24C24×C59
prime radicalC22×#121×C59C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C59 ◁ G

Complements

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

NH ≅ G/Ntype
2. C22×C4×D4×C59C2semidirect
3. C2×C59×#386C2semidirect
4. C2×C59×#386C2semidirect
5. C2×C59×#386C2semidirect
6. C2×C59×#386C2semidirect
7. C22×#95×C59C2semidirect
8. C59×#1441C2semidirect
9. C59×#1440C2semidirect
10. C59×#1439C2semidirect
11. C59×#1438C2semidirect
12. C59×#1437C2semidirect
13. C59×#1436C2semidirect
14. C59×C22⋊#95C2semidirect
15. C59×C22⋊#95C2semidirect
25. C2×#121×C59C4semidirect
82. C22×D4×C59C2×C4semidirect
83. C22×D4×C59C2×C4semidirect
112. C23×C4×C59C2×C4semidirect
113. C23×C4×C59D4semidirect
133. C2×C4⋊C4×C59C2×C4semidirect
164. C2×C22⋊C4×C59C2×C4semidirect
165. C2×C22⋊C4×C59C2×C4semidirect
166. C2×C22⋊C4×C59D4semidirect
183. #95×C59D4semidirect
250. C2×D4×C59C22⋊C4semidirect
586. C2×C4×C59C4×D4semidirect
587. C2×C4×C59#121semidirect
588. #14023C59direct (N × H)
633. C22×C59#386semidirect
682. C22×C4×D4C2×C59semidirect
683. C2×#386C2×C59semidirect
684. C2×#386C2×C59semidirect
685. C2×#386C2×C59semidirect
686. C2×#386C2×C59semidirect
687. C22×#95C2×C59semidirect
688. #1441C2×C59semidirect
689. #1440C2×C59semidirect
690. #1439C2×C59semidirect
691. #1438C2×C59semidirect
692. #1437C2×C59semidirect
693. #1436C2×C59semidirect
694. C22⋊#95C2×C59semidirect
695. C22⋊#95C2×C59semidirect
723. C2×#121C4×C59semidirect
760. C59#14023direct (N × H)
781. C22×D4C2×C4×C59semidirect
782. C22×D4C2×C4×C59semidirect
811. C23×C4C2×C4×C59semidirect
812. C23×C4D4×C59semidirect
832. C2×C4⋊C4C2×C4×C59semidirect
863. C2×C22⋊C4C2×C4×C59semidirect
864. C2×C22⋊C4C2×C4×C59semidirect
865. C2×C22⋊C4D4×C59semidirect
882. #95D4×C59semidirect
949. C2×D4C22⋊C4×C59semidirect
1285. C2×C4C4×D4×C59semidirect
1286. C2×C4#121×C59semidirect
1331. C22C59×#386semidirect

Maximal subgroups

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

subgroupindex
C22×#121×C592
C22×C4×D4×C592
C2×C59×#3862
C22×#95×C592
C59×#14412
C59×#14402
C59×#14392
C59×#14382
C59×#14372
C59×#14362
C59×C22⋊#952
#1402359