Finite Group Databasebeta

← C59×#17086 #28429195

Subgroups — C59×#17086 #28429195

Order 15104.

2346 conjugacy classes of subgroups.

The subgroup lattice has 1476 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#397C211yesmaximal, characteristic, complemented
2C2×C59×#394C211yesmaximal, characteristic, complemented
3C2×C59×#392C211yesmaximal, characteristic, complemented
4C2×C59×#392C211yesmaximal, characteristic, complemented
5C2×C59×#392C211yesmaximal, characteristic, complemented
6C2×C59×#392C211yesmaximal, characteristic, complemented
7C59×#1443C211yesmaximal, characteristic, complemented
8C59×#1440C211yesmaximal, characteristic, complemented
9C59×#1440C211yesmaximal, characteristic, complemented
10C59×#1439C211yesmaximal, characteristic, complemented
11C59×#1438C211yesmaximal, characteristic, complemented
12C59×#1438C211yesmaximal, characteristic, complemented
13C59×#1438C211yesmaximal, characteristic, complemented
14C59×#1438C211yesmaximal, characteristic, complemented
15C59×#1438C211yesmaximal, characteristic, complemented
16C23×D4×C59C2211yescharacteristic
17C23×D4×C59C2211yescharacteristic
18C23×D4×C59C2211yescharacteristic
19C23×D4×C59C2211yescharacteristic
20C23×D4×C59C2211yescharacteristic
21C23×D4×C59C2211yescharacteristic
22C22×C4⋊C4×C59C2211yescharacteristic
23C22×C22⋊C4×C59C2211yescharacteristic
24C22×C22⋊C4×C59C2211yescharacteristic
25C22×C22⋊C4×C59C2211yescharacteristic
26C22×C22⋊C4×C59C2211yescharacteristic
27C22×C22⋊C4×C59C2211yescharacteristic
28C22×C22⋊C4×C59C2211yescharacteristic
29C22×C22⋊C4×C59C2211yescharacteristic
30C22×C22⋊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
39C59×#397—24no—
40C59×#394—24no—
41C59×#392—24no—
42C59×#392—24no—
43C59×#392—24no—
44C59×#392—24no—
45C2×#95×C59C2211yescharacteristic
46C2×#95×C59C2211yescharacteristic
47C2×#95×C59C2211yescharacteristic
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
57C25×C59C2311yescharacteristic
58C25×C59C2311yescharacteristic
59C25×C59C2311yescharacteristic
60C25×C59C2311yescharacteristic
61C22×D4×C59—22no—
62C22×D4×C59—22no—
63C22×D4×C59—22no—
64C22×D4×C59—22no—
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—41no—
77C22×D4×C59—41no—
78C22×D4×C59—41no—
79C22×D4×C59—41no—
80C22×D4×C59—41no—
81C22×D4×C59—41no—
82C22×D4×C59—41no—
83C22×D4×C59—41no—
84C22×D4×C59—41no—
85C22×D4×C59—41no—
86C22×D4×C59—41no—
87C22×D4×C59—41no—
88C22×D4×C59—41no—
89C22×D4×C59—41no—
90C22×D4×C59—41no—
91C22×D4×C59—41no—
92C22×D4×C59—41no—
93C22×D4×C59—41no—
94C22×D4×C59—41no—
95C22×D4×C59—41no—
96C22×D4×C59—41no—
97C22×D4×C59—41no—
98C22×D4×C59—41no—
99C22×D4×C59—41no—
100C22×D4×C59—41no—
101C22×D4×C59—41no—
102C22×D4×C59D414yescomplemented
103C23×C4×C59C2311yescharacteristic
104C23×C4×C59C2311yescharacteristic
105C23×C4×C59C2311yescharacteristic
106C23×C4×C59C2311yescharacteristic
107C23×C4×C59C2311yescharacteristic
108C23×C4×C59C2311yescharacteristic
109C23×C4×C59C2311yescharacteristic
110C23×C4×C59C2311yescharacteristic
111C23×C4×C59C2311yescharacteristic
112C23×C4×C59C2311yescharacteristic
113C23×C4×C59C2311yescharacteristic
114C2×C4⋊C4×C59—22no—
115C2×C4⋊C4×C59—22no—
116C2×C4⋊C4×C59—41no—
117C2×C22⋊C4×C59—22no—
118C2×C22⋊C4×C59—22no—
119C2×C22⋊C4×C59—22no—
120C2×C22⋊C4×C59—22no—
121C2×C22⋊C4×C59—22no—
122C2×C22⋊C4×C59—22no—
123C2×C22⋊C4×C59—22no—
124C2×C22⋊C4×C59—22no—
125C2×C22⋊C4×C59—22no—
126C2×C22⋊C4×C59—22no—
127C2×C22⋊C4×C59—22no—
128C2×C22⋊C4×C59—22no—
129C2×C22⋊C4×C59—22no—
130C2×C22⋊C4×C59—22no—
131C2×C22⋊C4×C59—22no—
132C2×C22⋊C4×C59—22no—
133C2×C22⋊C4×C59—22no—
134C2×C22⋊C4×C59—22no—
135C2×C22⋊C4×C59—22no—
136C2×C22⋊C4×C59—41no—
137C2×C22⋊C4×C59—41no—
138C2×C22⋊C4×C59—41no—
139C2×C22⋊C4×C59—41no—
140C2×C22⋊C4×C59—41no—
141C2×C22⋊C4×C59—41no—
142C2×C22⋊C4×C59—41no—
143C2×C22⋊C4×C59—41no—
144C2×C22⋊C4×C59—41no—
145C2×C22⋊C4×C59—41no—
146C2×C22⋊C4×C59—41no—
147C2×C22⋊C4×C59—41no—
148C2×C22⋊C4×C59—41no—
149C2×C22⋊C4×C59—41no—
150C2×C22⋊C4×C59—41no—
151C2×C22⋊C4×C59—41no—
152C2×C22⋊C4×C59—41no—
153C2×C22⋊C4×C59—41no—
154C2×C22⋊C4×C59—41no—
155C2×C22⋊C4×C59—41no—
156C2×C22⋊C4×C59—41no—
157C2×C22⋊C4×C59—41no—
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×C59D414yescomplemented
165#95×C59—22no—
166#95×C59—22no—
167#95×C59—22no—
168#95×C59—22no—
169#95×C59—22no—
170#95×C59—22no—
171#95×C59—41no—
172#95×C59—41no—
173#95×C59—41no—
174#95×C59—41no—
175#95×C59—41no—
176#95×C59D414yescomplemented
177C24×C59—21no—
178C24×C59—21no—
179C24×C59—21no—
180C24×C59—21no—
181C24×C59—21no—
182C24×C59—21no—
183C24×C59—21no—
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×C59—21no—
219C24×C59—21no—
220C24×C59—21no—
221C24×C59—21no—
222C24×C59—21no—
223C24×C59—21no—
224C24×C59—21no—
225C24×C59—21no—
226C24×C59—21no—
227C24×C59—21no—
228C24×C59—21no—
229C24×C59—21no—
230C24×C59—21no—
231C24×C59—21no—
232C24×C59—21no—
233C24×C59C2×D412yes—
234C24×C59C2×D412yes—
235C24×C59C2×D412yes—
236C24×C59#4112yes—
237C24×C59C2411yescharacteristic
238C2×D4×C59—44no—
239C2×D4×C59—44no—
240C2×D4×C59—44no—
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×C59—44no—
251C2×D4×C59—44no—
252C2×D4×C59—44no—
253C2×D4×C59—44no—
254C2×D4×C59—44no—
255C2×D4×C59—44no—
256C2×D4×C59—44no—
257C2×D4×C59—44no—
258C2×D4×C59—44no—
259C2×D4×C59—44no—
260C2×D4×C59—44no—
261C2×D4×C59—44no—
262C2×D4×C59—44no—
263C2×D4×C59—44no—
264C2×D4×C59—44no—
265C2×D4×C59—44no—
266C2×D4×C59—44no—
267C2×D4×C59—44no—
268C2×D4×C59—44no—
269C2×D4×C59—44no—
270C2×D4×C59—44no—
271C2×D4×C59—44no—
272C2×D4×C59—44no—
273C2×D4×C59—44no—
274C2×D4×C59—44no—
275C2×D4×C59—44no—
276C2×D4×C59—44no—
277C2×D4×C59—44no—
278C2×D4×C59—44no—
279C2×D4×C59—44no—
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—21no—
310C22×C4×C59—21no—
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—21no—
326C22×C4×C59—21no—
327C22×C4×C59—21no—
328C22×C4×C59—21no—
329C22×C4×C59—21no—
330C22×C4×C59—21no—
331C22×C4×C59—21no—
332C22×C4×C59—21no—
333C22×C4×C59—21no—
334C22×C4×C59—21no—
335C22×C4×C59—21no—
336C22×C4×C59—21no—
337C22×C4×C59—21no—
338C22×C4×C59—21no—
339C22×C4×C59—21no—
340C22×C4×C59—21no—
341C22×C4×C59—21no—
342C22×C4×C59—21no—
343C22×C4×C59—21no—
344C22×C4×C59—21no—
345C22×C4×C59—21no—
346C22×C4×C59—21no—
347C22×C4×C59—21no—
348C22×C4×C59—21no—
349C22×C4×C59—21no—
350C22×C4×C59C2×D412yes—
351C22×C4×C59C2×D412yes—
352C22×C4×C59C2×D412yes—
353C22×C4×C59C2×D412yes—
354C22×C4×C59C2×D412yes—
355C22×C4×C59C2×D412yes—
356C22×C4×C59#4112yes—
357C4⋊C4×C59—44no—
358C22⋊C4×C59—44no—
359C22⋊C4×C59—44no—
360C22⋊C4×C59—44no—
361C22⋊C4×C59—44no—
362C22⋊C4×C59—44no—
363C22⋊C4×C59—44no—
364C22⋊C4×C59—44no—
365C22⋊C4×C59—44no—
366C22⋊C4×C59—44no—
367C22⋊C4×C59—44no—
368C22⋊C4×C59—44no—
369C22⋊C4×C59—44no—
370C22⋊C4×C59—44no—
371C22⋊C4×C59—44no—
372C22⋊C4×C59—44no—
373C22⋊C4×C59—44no—
374C23×C59—22no—
375C23×C59—22no—
376C23×C59—22no—
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—41no—
403C23×C59—41no—
404C23×C59—41no—
405C23×C59—41no—
406C23×C59—41no—
407C23×C59—41no—
408C23×C59—41no—
409C23×C59—41no—
410C23×C59—41no—
411C23×C59—41no—
412C23×C59—41no—
413C23×C59—41no—
414C23×C59—41no—
415C23×C59—41no—
416C23×C59—41no—
417C23×C59—41no—
418C23×C59—41no—
419C23×C59—41no—
420C23×C59—41no—
421C23×C59—41no—
422C23×C59—41no—
423C23×C59—41no—
424C23×C59—41no—
425C23×C59—41no—
426C23×C59—41no—
427C23×C59—41no—
428C23×C59—41no—
429C23×C59—41no—
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×C59—41no—
475C23×C59—41no—
476C23×C59—41no—
477C23×C59—41no—
478C23×C59—41no—
479C23×C59—41no—
480C23×C59—41no—
481C23×C59—41no—
482C23×C59—41no—
483C23×C59—41no—
484C23×C59—41no—
485C23×C59—41no—
486C23×C59—41no—
487C23×C59—41no—
488C23×C59—41no—
489C23×C59—41no—
490C23×C59—41no—
491C23×C59—41no—
492C23×C59—41no—
493C23×C59—41no—
494C23×C59—41no—
495C23×C59—41no—
496C23×C59—41no—
497C23×C59—41no—
498C23×C59—41no—
499C23×C59—41no—
500C23×C59—41no—
501C23×C59—41no—
502C23×C59—41no—
503C23×C59—41no—
504C23×C59—41no—
505C23×C59—41no—
506C23×C59—41no—
507C23×C59—41no—
508C23×C59—41no—
509C23×C59—41no—
510C23×C59—41no—
511C23×C59—41no—
512C23×C59—41no—
513C23×C59—41no—
514C23×C59C22×D411yescharacteristic
515C23×C59C22×D411yescharacteristic
516C23×C59C22×D411yescharacteristic
517C23×C59C2×#4111yescharacteristic
518C23×C59C2×#4111yescharacteristic
519C23×C59H(5,𝔽2)11yescharacteristic
520C23×C59H(5,𝔽2)11yescharacteristic
521C23×C59H(5,𝔽2)11yescharacteristic
522C23×C59H(5,𝔽2)11yescharacteristic
523C23×C59H(5,𝔽2)11yescharacteristic
524C23×C59H(5,𝔽2)11yescharacteristic
525C23×C59H(5,𝔽2)11yescharacteristic
526C23×C59H(5,𝔽2)11yescharacteristic
527C23×C59H(5,𝔽2)11yescharacteristic
528C23×C59H(5,𝔽2)11yescharacteristic
529D4×C59—416no—
530D4×C59—416no—
531D4×C59—416no—
532D4×C59—416no—
533D4×C59—416no—
534D4×C59—416no—
535C2×C4×C59—22no—
536C2×C4×C59—22no—
537C2×C4×C59—22no—
538C2×C4×C59—22no—
539C2×C4×C59—22no—
540C2×C4×C59—22no—
541C2×C4×C59—22no—
542C2×C4×C59—22no—
543C2×C4×C59—22no—
544C2×C4×C59—22no—
545C2×C4×C59—22no—
546C2×C4×C59—22no—
547C2×C4×C59—22no—
548C2×C4×C59—22no—
549C2×C4×C59—22no—
550C2×C4×C59—22no—
551C2×C4×C59—22no—
552C2×C4×C59—22no—
553C2×C4×C59—22no—
554C2×C4×C59—22no—
555C2×C4×C59—22no—
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×C59—41no—
586C2×C4×C59—41no—
587C2×C4×C59—41no—
588C2×C4×C59—41no—
589C2×C4×C59—41no—
590C2×C4×C59—41no—
591C2×C4×C59—41no—
592C2×C4×C59—41no—
593C2×C4×C59—41no—
594C2×C4×C59—41no—
595C2×C4×C59—41no—
596C2×C4×C59—41no—
597C2×C4×C59—41no—
598C2×C4×C59—41no—
599C2×C4×C59—41no—
600C2×C4×C59—41no—
601C2×C4×C59—41no—
602C2×C4×C59—41no—
603C2×C4×C59—41no—
604C2×C4×C59—41no—
605C2×C4×C59—41no—
606C2×C4×C59—41no—
607C2×C4×C59—41no—
608C2×C4×C59—41no—
609C2×C4×C59—41no—
610C2×C4×C59—41no—
611C2×C4×C59—41no—
612#17086C5911yesmaximal, characteristic, direct product factor, Sylow
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—42no—
626C22×C59—42no—
627C22×C59—42no—
628C22×C59—42no—
629C22×C59—42no—
630C22×C59—42no—
631C22×C59—42no—
632C22×C59—42no—
633C22×C59—42no—
634C22×C59—42no—
635C22×C59—42no—
636C22×C59—42no—
637C22×C59—42no—
638C22×C59—42no—
639C22×C59—42no—
640C22×C59—42no—
641C22×C59—81no—
642C22×C59—81no—
643C22×C59—81no—
644C22×C59—81no—
645C22×C59—81no—
646C22×C59—81no—
647C22×C59—81no—
648C22×C59—81no—
649C22×C59—81no—
650C22×C59—81no—
651C22×C59—81no—
652C22×C59—81no—
653C22×C59—81no—
654C22×C59—81no—
655C22×C59—81no—
656C22×C59—81no—
657C22×C59—81no—
658C22×C59—81no—
659C22×C59—81no—
660C22×C59—81no—
661C22×C59—81no—
662C22×C59—81no—
663C22×C59—81no—
664C22×C59—81no—
665C22×C59—81no—
666C22×C59—81no—
667C22×C59—81no—
668C22×C59—81no—
669C22×C59—81no—
670C22×C59—81no—
671C22×C59—81no—
672C22×C59—81no—
673C22×C59#53411yescharacteristic
674C22×C59#53411yescharacteristic
675C22×C59#53411yescharacteristic
676C22×C59#53411yescharacteristic
677C22×C59#53511yescharacteristic
678C22×C59#53511yescharacteristic
679C22×C59#53511yescharacteristic
680C22×C59#53511yescharacteristic
681C22×C59#53511yescharacteristic
682C22×C59#53811yescharacteristic
683C22×C59#53811yescharacteristic
684C22×C59#53811yescharacteristic
685C22×C59#53811yescharacteristic
686C22×C59#54011yescharacteristic
687C22×C59#54011yescharacteristic
688C22×C59D4211yescharacteristic
689C22×C59D4211yescharacteristic
690C22×C59D4211yescharacteristic
691C22×C59#54611yescharacteristic
692C22×C59#54611yescharacteristic
693C22×C59#54611yescharacteristic
694C22×C59#54611yescharacteristic
695C22×C59#54611yescharacteristic
696C22×C59#55011yescharacteristic
697C22×C59#55311yescharacteristic
698C22×C59#56011yescharacteristic
699C22×C59#56011yescharacteristic
700C22×C59#56011yescharacteristic
701C22×C59#56011yescharacteristic
702C22×C59#56011yescharacteristic
703C22×C59#56011yescharacteristic
704C22×C59#56011yescharacteristic
705C22×C59#56011yescharacteristic
706C22×C59#56011yescharacteristic
707C22×C59H(3,𝔽4)11yescharacteristic
708C4×C59—42no—
709C4×C59—42no—
710C4×C59—42no—
711C4×C59—42no—
712C4×C59—42no—
713C4×C59—42no—
714C4×C59—42no—
715C4×C59—81no—
716C4×C59—81no—
717C4×C59—81no—
718C4×C59—81no—
719C2×#397C2×C5911yescharacteristic, complemented
720C2×#394C2×C5911yescharacteristic, complemented
721C2×#392C2×C5911yescharacteristic, complemented
722C2×#392C2×C5911yescharacteristic, complemented
723C2×#392C2×C5911yescharacteristic, complemented
724C2×#392C2×C5911yescharacteristic, complemented
725#1443C2×C5911yescharacteristic, complemented
726#1440C2×C5911yescharacteristic, complemented
727#1440C2×C5911yescharacteristic, complemented
728#1439C2×C5911yescharacteristic, complemented
729#1438C2×C5911yescharacteristic, complemented
730#1438C2×C5911yescharacteristic, complemented
731#1438C2×C5911yescharacteristic, complemented
732#1438C2×C5911yescharacteristic, complemented
733#1438C2×C5911yescharacteristic, complemented
734C2×C59—82no—
735C2×C59—82no—
736C2×C59—82no—
737C2×C59—82no—
738C2×C59#266811yescharacteristic
739C2×C59#266911yescharacteristic
740C2×C59#267011yescharacteristic
741C2×C59#267311yescharacteristic
742C2×C59#267311yescharacteristic
743C2×C59#267811yescharacteristic
744C2×C59#267811yescharacteristic
745C2×C59#268811yescharacteristic
746C2×C59#270311yescharacteristic
747C2×C59#271411yescharacteristic
748C2×C59#281211yescharacteristic
749C2×C59#281511yescharacteristic
750C2×C59#281811yescharacteristic
751C2×C59#282511yescharacteristic
752C2×C59#282811yescharacteristic
753C23×D4C22×C5911yescharacteristic
754C23×D4C22×C5911yescharacteristic
755C23×D4C22×C5911yescharacteristic
756C23×D4C22×C5911yescharacteristic
757C23×D4C22×C5911yescharacteristic
758C23×D4C22×C5911yescharacteristic
759C22×C4⋊C4C22×C5911yescharacteristic
760C22×C22⋊C4C22×C5911yescharacteristic
761C22×C22⋊C4C22×C5911yescharacteristic
762C22×C22⋊C4C22×C5911yescharacteristic
763C22×C22⋊C4C22×C5911yescharacteristic
764C22×C22⋊C4C22×C5911yescharacteristic
765C22×C22⋊C4C22×C5911yescharacteristic
766C22×C22⋊C4C22×C5911yescharacteristic
767C22×C22⋊C4C22×C5911yescharacteristic
768C22×C22⋊C4C22×C5911yescharacteristic
769C22×C22⋊C4C22×C5911yescharacteristic
770C22×C22⋊C4C22×C5911yescharacteristic
771C22×C22⋊C4C22×C5911yescharacteristic
772C22×C22⋊C4C22×C5911yescharacteristic
773C22×C22⋊C4C22×C5911yescharacteristic
774C22×C22⋊C4C22×C5911yescharacteristic
775C22×C22⋊C4C22×C5911yescharacteristic
776#397—24no—
777#394—24no—
778#392—24no—
779#392—24no—
780#392—24no—
781#392—24no—
782C2×#95C22×C5911yescharacteristic
783C2×#95C22×C5911yescharacteristic
784C2×#95C22×C5911yescharacteristic
785C2×#95C22×C5911yescharacteristic
786C2×#95C22×C5911yescharacteristic
787C2×#95C22×C5911yescharacteristic
788C2×#95C22×C5911yescharacteristic
789C2×#95C22×C5911yescharacteristic
790C2×#95C22×C5911yescharacteristic
791C2×#95C22×C5911yescharacteristic
792C2×#95C22×C5911yescharacteristic
793C2×#95C22×C5911yescharacteristic
794C59#1708611yescharacteristic, direct product factor, Sylow
795C25C23×C5911yescharacteristic
796C25C23×C5911yescharacteristic
797C25C23×C5911yescharacteristic
798C25C23×C5911yescharacteristic
799C22×D4—22no—
800C22×D4—22no—
801C22×D4—22no—
802C22×D4—22no—
803C22×D4—22no—
804C22×D4—22no—
805C22×D4—22no—
806C22×D4—22no—
807C22×D4—22no—
808C22×D4—22no—
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—41no—
815C22×D4—41no—
816C22×D4—41no—
817C22×D4—41no—
818C22×D4—41no—
819C22×D4—41no—
820C22×D4—41no—
821C22×D4—41no—
822C22×D4—41no—
823C22×D4—41no—
824C22×D4—41no—
825C22×D4—41no—
826C22×D4—41no—
827C22×D4—41no—
828C22×D4—41no—
829C22×D4—41no—
830C22×D4—41no—
831C22×D4—41no—
832C22×D4—41no—
833C22×D4—41no—
834C22×D4—41no—
835C22×D4—41no—
836C22×D4—41no—
837C22×D4—41no—
838C22×D4—41no—
839C22×D4—41no—
840C22×D4D4×C5914yescomplemented
841C23×C4C23×C5911yescharacteristic
842C23×C4C23×C5911yescharacteristic
843C23×C4C23×C5911yescharacteristic
844C23×C4C23×C5911yescharacteristic
845C23×C4C23×C5911yescharacteristic
846C23×C4C23×C5911yescharacteristic
847C23×C4C23×C5911yescharacteristic
848C23×C4C23×C5911yescharacteristic
849C23×C4C23×C5911yescharacteristic
850C23×C4C23×C5911yescharacteristic
851C23×C4C23×C5911yescharacteristic
852C2×C4⋊C4—22no—
853C2×C4⋊C4—22no—
854C2×C4⋊C4—41no—
855C2×C22⋊C4—22no—
856C2×C22⋊C4—22no—
857C2×C22⋊C4—22no—
858C2×C22⋊C4—22no—
859C2×C22⋊C4—22no—
860C2×C22⋊C4—22no—
861C2×C22⋊C4—22no—
862C2×C22⋊C4—22no—
863C2×C22⋊C4—22no—
864C2×C22⋊C4—22no—
865C2×C22⋊C4—22no—
866C2×C22⋊C4—22no—
867C2×C22⋊C4—22no—
868C2×C22⋊C4—22no—
869C2×C22⋊C4—22no—
870C2×C22⋊C4—22no—
871C2×C22⋊C4—22no—
872C2×C22⋊C4—22no—
873C2×C22⋊C4—22no—
874C2×C22⋊C4—41no—
875C2×C22⋊C4—41no—
876C2×C22⋊C4—41no—
877C2×C22⋊C4—41no—
878C2×C22⋊C4—41no—
879C2×C22⋊C4—41no—
880C2×C22⋊C4—41no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C22⋊C4—41no—
889C2×C22⋊C4—41no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C22⋊C4—41no—
902C2×C22⋊C4D4×C5914yescomplemented
903#95—22no—
904#95—22no—
905#95—22no—
906#95—22no—
907#95—22no—
908#95—22no—
909#95—41no—
910#95—41no—
911#95—41no—
912#95—41no—
913#95—41no—
914#95D4×C5914yescomplemented
915C24—21no—
916C24—21no—
917C24—21no—
918C24—21no—
919C24—21no—
920C24—21no—
921C24—21no—
922C24—21no—
923C24—21no—
924C24—21no—
925C24—21no—
926C24—21no—
927C24—21no—
928C24—21no—
929C24—21no—
930C24—21no—
931C24—21no—
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—21no—
937C24—21no—
938C24—21no—
939C24—21no—
940C24—21no—
941C24—21no—
942C24—21no—
943C24—21no—
944C24—21no—
945C24—21no—
946C24—21no—
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—21no—
954C24—21no—
955C24—21no—
956C24—21no—
957C24—21no—
958C24—21no—
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—21no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—21no—
968C24—21no—
969C24—21no—
970C24—21no—
971C24C2×D4×C5912yes—
972C24C2×D4×C5912yes—
973C24C2×D4×C5912yes—
974C24#41×C5912yes—
975C24C24×C5911yescharacteristic
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—44no—
997C2×D4—44no—
998C2×D4—44no—
999C2×D4—44no—
1000C2×D4—44no—
1001C2×D4—44no—
1002C2×D4—44no—
1003C2×D4—44no—
1004C2×D4—44no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—44no—
1008C2×D4—44no—
1009C2×D4—44no—
1010C2×D4—44no—
1011C2×D4—44no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—44no—
1015C2×D4—44no—
1016C2×D4—44no—
1017C2×D4—44no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—21no—
1029C22×C4—21no—
1030C22×C4—21no—
1031C22×C4—21no—
1032C22×C4—21no—
1033C22×C4—21no—
1034C22×C4—21no—
1035C22×C4—21no—
1036C22×C4—21no—
1037C22×C4—21no—
1038C22×C4—21no—
1039C22×C4—21no—
1040C22×C4—21no—
1041C22×C4—21no—
1042C22×C4—21no—
1043C22×C4—21no—
1044C22×C4—21no—
1045C22×C4—21no—
1046C22×C4—21no—
1047C22×C4—21no—
1048C22×C4—21no—
1049C22×C4—21no—
1050C22×C4—21no—
1051C22×C4—21no—
1052C22×C4—21no—
1053C22×C4—21no—
1054C22×C4—21no—
1055C22×C4—21no—
1056C22×C4—21no—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—21no—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4C2×D4×C5912yes—
1089C22×C4C2×D4×C5912yes—
1090C22×C4C2×D4×C5912yes—
1091C22×C4C2×D4×C5912yes—
1092C22×C4C2×D4×C5912yes—
1093C22×C4C2×D4×C5912yes—
1094C22×C4#41×C5912yes—
1095C4⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
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—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
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—
1173C23—41no—
1174C23—41no—
1175C23—41no—
1176C23—41no—
1177C23—41no—
1178C23—41no—
1179C23—41no—
1180C23—41no—
1181C23—41no—
1182C23—41no—
1183C23—41no—
1184C23—41no—
1185C23—41no—
1186C23—41no—
1187C23—41no—
1188C23—41no—
1189C23—41no—
1190C23—41no—
1191C23—41no—
1192C23—41no—
1193C23—41no—
1194C23—41no—
1195C23—41no—
1196C23—41no—
1197C23—41no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23C22×D4×C5911yescharacteristic
1253C23C22×D4×C5911yescharacteristic
1254C23C22×D4×C5911yescharacteristic
1255C23C2×#41×C5911yescharacteristic
1256C23C2×#41×C5911yescharacteristic
1257C23H(5,𝔽2)×C5911yescharacteristic
1258C23H(5,𝔽2)×C5911yescharacteristic
1259C23H(5,𝔽2)×C5911yescharacteristic
1260C23H(5,𝔽2)×C5911yescharacteristic
1261C23H(5,𝔽2)×C5911yescharacteristic
1262C23H(5,𝔽2)×C5911yescharacteristic
1263C23H(5,𝔽2)×C5911yescharacteristic
1264C23H(5,𝔽2)×C5911yescharacteristic
1265C23H(5,𝔽2)×C5911yescharacteristic
1266C23H(5,𝔽2)×C5911yescharacteristic
1267D4—416no—
1268D4—416no—
1269D4—416no—
1270D4—416no—
1271D4—416no—
1272D4—416no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—41no—
1295C2×C4—41no—
1296C2×C4—41no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C22—42no—
1351C22—42no—
1352C22—42no—
1353C22—42no—
1354C22—42no—
1355C22—42no—
1356C22—42no—
1357C22—42no—
1358C22—42no—
1359C22—42no—
1360C22—42no—
1361C22—42no—
1362C22—42no—
1363C22—42no—
1364C22—42no—
1365C22—42no—
1366C22—42no—
1367C22—42no—
1368C22—42no—
1369C22—42no—
1370C22—42no—
1371C22—42no—
1372C22—42no—
1373C22—42no—
1374C22—42no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—81no—
1379C22—81no—
1380C22—81no—
1381C22—81no—
1382C22—81no—
1383C22—81no—
1384C22—81no—
1385C22—81no—
1386C22—81no—
1387C22—81no—
1388C22—81no—
1389C22—81no—
1390C22—81no—
1391C22—81no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22C59×#53411yescharacteristic
1411C22C59×#53411yescharacteristic
1412C22C59×#53411yescharacteristic
1413C22C59×#53411yescharacteristic
1414C22C59×#53511yescharacteristic
1415C22C59×#53511yescharacteristic
1416C22C59×#53511yescharacteristic
1417C22C59×#53511yescharacteristic
1418C22C59×#53511yescharacteristic
1419C22C59×#53811yescharacteristic
1420C22C59×#53811yescharacteristic
1421C22C59×#53811yescharacteristic
1422C22C59×#53811yescharacteristic
1423C22C59×#54011yescharacteristic
1424C22C59×#54011yescharacteristic
1425C22D42×C5911yescharacteristic
1426C22D42×C5911yescharacteristic
1427C22D42×C5911yescharacteristic
1428C22C59×#54611yescharacteristic
1429C22C59×#54611yescharacteristic
1430C22C59×#54611yescharacteristic
1431C22C59×#54611yescharacteristic
1432C22C59×#54611yescharacteristic
1433C22C59×#55011yescharacteristic
1434C22C59×#55311yescharacteristic
1435C22C59×#56011yescharacteristic
1436C22C59×#56011yescharacteristic
1437C22C59×#56011yescharacteristic
1438C22C59×#56011yescharacteristic
1439C22C59×#56011yescharacteristic
1440C22C59×#56011yescharacteristic
1441C22C59×#56011yescharacteristic
1442C22C59×#56011yescharacteristic
1443C22C59×#56011yescharacteristic
1444C22C59×H(3,𝔽4)11yescharacteristic
1445C4—42no—
1446C4—42no—
1447C4—42no—
1448C4—42no—
1449C4—42no—
1450C4—42no—
1451C4—42no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C2—82no—
1457C2—82no—
1458C2—82no—
1459C2—82no—
1460C2C59×#266811yescharacteristic
1461C2C59×#266911yescharacteristic
1462C2C59×#267011yescharacteristic
1463C2C59×#267311yescharacteristic
1464C2C59×#267311yescharacteristic
1465C2C59×#267811yescharacteristic
1466C2C59×#267811yescharacteristic
1467C2C59×#268811yescharacteristic
1468C2C59×#270311yescharacteristic
1469C2C59×#271411yescharacteristic
1470C2C59×#281211yescharacteristic
1471C2C59×#281511yescharacteristic
1472C2C59×#281811yescharacteristic
1473C2C59×#282511yescharacteristic
1474C2C59×#282811yescharacteristic
subgroupG/H
center, socleC24×C59C24
commutator, Frattini, cosocleC24C24×C59
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C59×#397C2semidirect
2. C2×C59×#394C2semidirect
3. C2×C59×#392C2semidirect
4. C2×C59×#392C2semidirect
5. C2×C59×#392C2semidirect
6. C2×C59×#392C2semidirect
7. C59×#1443C2semidirect
8. C59×#1440C2semidirect
9. C59×#1440C2semidirect
10. C59×#1439C2semidirect
11. C59×#1438C2semidirect
12. C59×#1438C2semidirect
13. C59×#1438C2semidirect
14. C59×#1438C2semidirect
15. C59×#1438C2semidirect
102. C22×D4×C59D4semidirect
164. C2×C22⋊C4×C59D4semidirect
176. #95×C59D4semidirect
612. #17086C59direct (N × H)
719. C2×#397C2×C59semidirect
720. C2×#394C2×C59semidirect
721. C2×#392C2×C59semidirect
722. C2×#392C2×C59semidirect
723. C2×#392C2×C59semidirect
724. C2×#392C2×C59semidirect
725. #1443C2×C59semidirect
726. #1440C2×C59semidirect
727. #1440C2×C59semidirect
728. #1439C2×C59semidirect
729. #1438C2×C59semidirect
730. #1438C2×C59semidirect
731. #1438C2×C59semidirect
732. #1438C2×C59semidirect
733. #1438C2×C59semidirect
794. C59#17086direct (N × H)
840. C22×D4D4×C59semidirect
902. C2×C22⋊C4D4×C59semidirect
914. #95D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#3972
C2×C59×#3942
C2×C59×#3922
C59×#14432
C59×#14402
C59×#14392
C59×#14382
#1708659