Finite Group Databasebeta

← C59×#16291 #28428400

Subgroups — C59×#16291 #28428400

Order 15104.

2478 conjugacy classes of subgroups.

The subgroup lattice has 1492 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C59×#394C211yesmaximal, 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
7C2×C59×#390C211yesmaximal, characteristic, complemented
8C2×C59×#388C211yesmaximal, characteristic, complemented
9C59×#1442C211yesmaximal, characteristic, complemented
10C59×#1440C211yesmaximal, characteristic, complemented
11C59×#1439C211yesmaximal, characteristic, complemented
12C59×#1438C211yesmaximal, characteristic, complemented
13C59×#1438C211yesmaximal, characteristic, complemented
14C59×#1438C211yesmaximal, characteristic, complemented
15C59×#1437C211yesmaximal, 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×C4⋊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
39C22×C22⋊C4×C59C2211yescharacteristic
40C22×C42×C59C2211yescharacteristic
41C59×#394—24no—
42C59×#394—24no—
43C59×#392—24no—
44C59×#392—24no—
45C59×#392—24no—
46C59×#392—24no—
47C59×#390—24no—
48C59×#388—24no—
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
59C25×C59C2311yescharacteristic
60C25×C59C2311yescharacteristic
61C25×C59C2311yescharacteristic
62C25×C59C2311yescharacteristic
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—22no—
77C22×D4×C59—22no—
78C22×D4×C59—22no—
79C22×D4×C59—22no—
80C22×D4×C59—22no—
81C22×D4×C59—22no—
82C22×D4×C59—22no—
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×C59—41no—
103C22×D4×C59—41no—
104C22×D4×C59—41no—
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
114C23×C4×C59C2311yescharacteristic
115C23×C4×C59C2311yescharacteristic
116C2×C4⋊C4×C59—22no—
117C2×C4⋊C4×C59—22no—
118C2×C4⋊C4×C59—22no—
119C2×C4⋊C4×C59—22no—
120C2×C4⋊C4×C59—41no—
121C2×C4⋊C4×C59—41no—
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—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—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×C59—41no—
165C2×C22⋊C4×C59—41no—
166C2×C22⋊C4×C59—41no—
167C2×C22⋊C4×C59D414yescomplemented
168C2×C22⋊C4×C59D414yescomplemented
169C2×C22⋊C4×C59D414yescomplemented
170C2×C42×C59—22no—
171C2×C42×C59—22no—
172C2×C42×C59—41no—
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—41no—
180#95×C59—41no—
181#95×C59—41no—
182#95×C59D414yescomplemented
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×C59—21no—
234C24×C59—21no—
235C24×C59—21no—
236C24×C59—21no—
237C24×C59—21no—
238C24×C59—21no—
239C24×C59C2×D412yes—
240C24×C59C2×D412yes—
241C24×C59C2×D412yes—
242C24×C59#4112yes—
243C24×C59C2411yescharacteristic
244C2×D4×C59—28no—
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—
280C2×D4×C59—44no—
281C2×D4×C59—44no—
282C2×D4×C59—44no—
283C2×D4×C59—44no—
284C2×D4×C59—44no—
285C2×D4×C59—44no—
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×C59—21no—
351C22×C4×C59—21no—
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×C59C2×D412yes—
361C22×C4×C59#4112yes—
362C22×C4×C59#4112yes—
363C4⋊C4×C59—44no—
364C4⋊C4×C59—44no—
365C22⋊C4×C59—28no—
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—
374C22⋊C4×C59—44no—
375C22⋊C4×C59—44no—
376C22⋊C4×C59—44no—
377C22⋊C4×C59—44no—
378C22⋊C4×C59—44no—
379C22⋊C4×C59—44no—
380C22⋊C4×C59—44no—
381C42×C59—44no—
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—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×C59—41no—
515C23×C59—41no—
516C23×C59—41no—
517C23×C59—41no—
518C23×C59—41no—
519C23×C59—41no—
520C23×C59—41no—
521C23×C59—41no—
522C23×C59C22×D411yescharacteristic
523C23×C59C22×D411yescharacteristic
524C23×C59C22×D411yescharacteristic
525C23×C59C22×D411yescharacteristic
526C23×C59C2×#4111yescharacteristic
527C23×C59C2×#4111yescharacteristic
528C23×C59C2×#4111yescharacteristic
529C23×C59H(5,𝔽2)11yescharacteristic
530C23×C59H(5,𝔽2)11yescharacteristic
531C23×C59H(5,𝔽2)11yescharacteristic
532C23×C59H(5,𝔽2)11yescharacteristic
533C23×C59H(5,𝔽2)11yescharacteristic
534C23×C59H(5,𝔽2)11yescharacteristic
535C23×C59H(5,𝔽2)11yescharacteristic
536C23×C59H(5,𝔽2)11yescharacteristic
537D4×C59—416no—
538D4×C59—416no—
539D4×C59—416no—
540D4×C59—416no—
541D4×C59—416no—
542D4×C59—416no—
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—22no—
557C2×C4×C59—22no—
558C2×C4×C59—22no—
559C2×C4×C59—22no—
560C2×C4×C59—22no—
561C2×C4×C59—22no—
562C2×C4×C59—22no—
563C2×C4×C59—22no—
564C2×C4×C59—22no—
565C2×C4×C59—22no—
566C2×C4×C59—22no—
567C2×C4×C59—22no—
568C2×C4×C59—22no—
569C2×C4×C59—22no—
570C2×C4×C59—22no—
571C2×C4×C59—22no—
572C2×C4×C59—22no—
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—
612C2×C4×C59—41no—
613C2×C4×C59—41no—
614C2×C4×C59—41no—
615C2×C4×C59—41no—
616C2×C4×C59—41no—
617C2×C4×C59—41no—
618C2×C4×C59—41no—
619C2×C4×C59#12114yes—
620#16291C5911yesmaximal, characteristic, direct product factor, Sylow
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—42no—
642C22×C59—42no—
643C22×C59—42no—
644C22×C59—42no—
645C22×C59—42no—
646C22×C59—42no—
647C22×C59—42no—
648C22×C59—42no—
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—81no—
674C22×C59—81no—
675C22×C59—81no—
676C22×C59—81no—
677C22×C59—81no—
678C22×C59—81no—
679C22×C59—81no—
680C22×C59—81no—
681C22×C59C2×#12111yescharacteristic
682C22×C59#52511yescharacteristic
683C22×C59#53211yescharacteristic
684C22×C59#53411yescharacteristic
685C22×C59#53411yescharacteristic
686C22×C59#53511yescharacteristic
687C22×C59#53511yescharacteristic
688C22×C59#53511yescharacteristic
689C22×C59#53511yescharacteristic
690C22×C59#53511yescharacteristic
691C22×C59#53511yescharacteristic
692C22×C59#53811yescharacteristic
693C22×C59#53811yescharacteristic
694C22×C59#53811yescharacteristic
695C22×C59#53811yescharacteristic
696C22×C59#54011yescharacteristic
697C22×C59#54011yescharacteristic
698C22×C59#54011yescharacteristic
699C22×C59#54011yescharacteristic
700C22×C59D4211yescharacteristic
701C22×C59D4211yescharacteristic
702C22×C59D4211yescharacteristic
703C22×C59D4211yescharacteristic
704C22×C59D4211yescharacteristic
705C22×C59#54611yescharacteristic
706C22×C59#54611yescharacteristic
707C22×C59#54611yescharacteristic
708C22×C59#54611yescharacteristic
709C22×C59#54611yescharacteristic
710C22×C59#55011yescharacteristic
711C22×C59#55311yescharacteristic
712C22×C59#56011yescharacteristic
713C22×C59#56011yescharacteristic
714C22×C59#56011yescharacteristic
715C22×C59H(3,𝔽4)11yescharacteristic
716C4×C59—24no—
717C4×C59—42no—
718C4×C59—42no—
719C4×C59—42no—
720C4×C59—42no—
721C4×C59—42no—
722C4×C59—42no—
723C4×C59—42no—
724C4×C59—42no—
725C4×C59—81no—
726C4×C59—81no—
727C2×#394C2×C5911yescharacteristic, complemented
728C2×#394C2×C5911yescharacteristic, complemented
729C2×#392C2×C5911yescharacteristic, complemented
730C2×#392C2×C5911yescharacteristic, complemented
731C2×#392C2×C5911yescharacteristic, complemented
732C2×#392C2×C5911yescharacteristic, complemented
733C2×#390C2×C5911yescharacteristic, complemented
734C2×#388C2×C5911yescharacteristic, complemented
735#1442C2×C5911yescharacteristic, complemented
736#1440C2×C5911yescharacteristic, complemented
737#1439C2×C5911yescharacteristic, complemented
738#1438C2×C5911yescharacteristic, complemented
739#1438C2×C5911yescharacteristic, complemented
740#1438C2×C5911yescharacteristic, complemented
741#1437C2×C5911yescharacteristic, complemented
742C2×C59—82no—
743C2×C59—82no—
744C2×C59—82no—
745C2×C59—82no—
746C2×C59#242411yescharacteristic
747C2×C59#242811yescharacteristic
748C2×C59#246411yescharacteristic
749C2×C59#261911yescharacteristic
750C2×C59#263511yescharacteristic
751C2×C59#266111yescharacteristic
752C2×C59#266911yescharacteristic
753C2×C59#266911yescharacteristic
754C2×C59#267011yescharacteristic
755C2×C59#267011yescharacteristic
756C2×C59#267311yescharacteristic
757C2×C59#267811yescharacteristic
758C2×C59#270311yescharacteristic
759C2×C59#271411yescharacteristic
760C2×C59#282811yescharacteristic
761C23×D4C22×C5911yescharacteristic
762C23×D4C22×C5911yescharacteristic
763C23×D4C22×C5911yescharacteristic
764C23×D4C22×C5911yescharacteristic
765C23×D4C22×C5911yescharacteristic
766C23×D4C22×C5911yescharacteristic
767C22×C4⋊C4C22×C5911yescharacteristic
768C22×C4⋊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
776C22×C22⋊C4C22×C5911yescharacteristic
777C22×C22⋊C4C22×C5911yescharacteristic
778C22×C22⋊C4C22×C5911yescharacteristic
779C22×C22⋊C4C22×C5911yescharacteristic
780C22×C22⋊C4C22×C5911yescharacteristic
781C22×C22⋊C4C22×C5911yescharacteristic
782C22×C22⋊C4C22×C5911yescharacteristic
783C22×C22⋊C4C22×C5911yescharacteristic
784C22×C22⋊C4C22×C5911yescharacteristic
785C22×C42C22×C5911yescharacteristic
786#394—24no—
787#394—24no—
788#392—24no—
789#392—24no—
790#392—24no—
791#392—24no—
792#390—24no—
793#388—24no—
794C2×#95C22×C5911yescharacteristic
795C2×#95C22×C5911yescharacteristic
796C2×#95C22×C5911yescharacteristic
797C2×#95C22×C5911yescharacteristic
798C2×#95C22×C5911yescharacteristic
799C2×#95C22×C5911yescharacteristic
800C2×#95C22×C5911yescharacteristic
801C2×#95C22×C5911yescharacteristic
802C2×#95C22×C5911yescharacteristic
803C2×#95C22×C5911yescharacteristic
804C59#1629111yescharacteristic, direct product factor, Sylow
805C25C23×C5911yescharacteristic
806C25C23×C5911yescharacteristic
807C25C23×C5911yescharacteristic
808C25C23×C5911yescharacteristic
809C22×D4—22no—
810C22×D4—22no—
811C22×D4—22no—
812C22×D4—22no—
813C22×D4—22no—
814C22×D4—22no—
815C22×D4—22no—
816C22×D4—22no—
817C22×D4—22no—
818C22×D4—22no—
819C22×D4—22no—
820C22×D4—22no—
821C22×D4—22no—
822C22×D4—22no—
823C22×D4—22no—
824C22×D4—22no—
825C22×D4—22no—
826C22×D4—22no—
827C22×D4—22no—
828C22×D4—22no—
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×D4—41no—
841C22×D4—41no—
842C22×D4—41no—
843C22×D4—41no—
844C22×D4—41no—
845C22×D4—41no—
846C22×D4—41no—
847C22×D4—41no—
848C22×D4—41no—
849C22×D4—41no—
850C22×D4—41no—
851C23×C4C23×C5911yescharacteristic
852C23×C4C23×C5911yescharacteristic
853C23×C4C23×C5911yescharacteristic
854C23×C4C23×C5911yescharacteristic
855C23×C4C23×C5911yescharacteristic
856C23×C4C23×C5911yescharacteristic
857C23×C4C23×C5911yescharacteristic
858C23×C4C23×C5911yescharacteristic
859C23×C4C23×C5911yescharacteristic
860C23×C4C23×C5911yescharacteristic
861C23×C4C23×C5911yescharacteristic
862C2×C4⋊C4—22no—
863C2×C4⋊C4—22no—
864C2×C4⋊C4—22no—
865C2×C4⋊C4—22no—
866C2×C4⋊C4—41no—
867C2×C4⋊C4—41no—
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—22no—
875C2×C22⋊C4—22no—
876C2×C22⋊C4—22no—
877C2×C22⋊C4—22no—
878C2×C22⋊C4—22no—
879C2×C22⋊C4—22no—
880C2×C22⋊C4—22no—
881C2×C22⋊C4—22no—
882C2×C22⋊C4—22no—
883C2×C22⋊C4—22no—
884C2×C22⋊C4—22no—
885C2×C22⋊C4—22no—
886C2×C22⋊C4—22no—
887C2×C22⋊C4—22no—
888C2×C22⋊C4—22no—
889C2×C22⋊C4—22no—
890C2×C22⋊C4—22no—
891C2×C22⋊C4—22no—
892C2×C22⋊C4—22no—
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⋊C4—41no—
903C2×C22⋊C4—41no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C22⋊C4D4×C5914yescomplemented
914C2×C22⋊C4D4×C5914yescomplemented
915C2×C22⋊C4D4×C5914yescomplemented
916C2×C42—22no—
917C2×C42—22no—
918C2×C42—41no—
919#95—22no—
920#95—22no—
921#95—22no—
922#95—22no—
923#95—22no—
924#95—22no—
925#95—41no—
926#95—41no—
927#95—41no—
928#95D4×C5914yescomplemented
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—
971C24—21no—
972C24—21no—
973C24—21no—
974C24—21no—
975C24—21no—
976C24—21no—
977C24—21no—
978C24—21no—
979C24—21no—
980C24—21no—
981C24—21no—
982C24—21no—
983C24—21no—
984C24—21no—
985C24C2×D4×C5912yes—
986C24C2×D4×C5912yes—
987C24C2×D4×C5912yes—
988C24#41×C5912yes—
989C24C24×C5911yescharacteristic
990C2×D4—28no—
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—
1018C2×D4—44no—
1019C2×D4—44no—
1020C2×D4—44no—
1021C2×D4—44no—
1022C2×D4—44no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
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×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4C2×D4×C5912yes—
1099C22×C4C2×D4×C5912yes—
1100C22×C4C2×D4×C5912yes—
1101C22×C4C2×D4×C5912yes—
1102C22×C4C2×D4×C5912yes—
1103C22×C4C2×D4×C5912yes—
1104C22×C4C2×D4×C5912yes—
1105C22×C4C2×D4×C5912yes—
1106C22×C4C2×D4×C5912yes—
1107C22×C4#41×C5912yes—
1108C22×C4#41×C5912yes—
1109C4⋊C4—44no—
1110C4⋊C4—44no—
1111C22⋊C4—28no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C42—44no—
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—22no—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
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—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—41no—
1257C23—41no—
1258C23—41no—
1259C23—41no—
1260C23—41no—
1261C23—41no—
1262C23—41no—
1263C23—41no—
1264C23—41no—
1265C23—41no—
1266C23—41no—
1267C23—41no—
1268C23C22×D4×C5911yescharacteristic
1269C23C22×D4×C5911yescharacteristic
1270C23C22×D4×C5911yescharacteristic
1271C23C22×D4×C5911yescharacteristic
1272C23C2×#41×C5911yescharacteristic
1273C23C2×#41×C5911yescharacteristic
1274C23C2×#41×C5911yescharacteristic
1275C23H(5,𝔽2)×C5911yescharacteristic
1276C23H(5,𝔽2)×C5911yescharacteristic
1277C23H(5,𝔽2)×C5911yescharacteristic
1278C23H(5,𝔽2)×C5911yescharacteristic
1279C23H(5,𝔽2)×C5911yescharacteristic
1280C23H(5,𝔽2)×C5911yescharacteristic
1281C23H(5,𝔽2)×C5911yescharacteristic
1282C23H(5,𝔽2)×C5911yescharacteristic
1283D4—416no—
1284D4—416no—
1285D4—416no—
1286D4—416no—
1287D4—416no—
1288D4—416no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
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—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4#121×C5914yes—
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—42no—
1379C22—42no—
1380C22—42no—
1381C22—42no—
1382C22—42no—
1383C22—42no—
1384C22—42no—
1385C22—42no—
1386C22—42no—
1387C22—42no—
1388C22—42no—
1389C22—42no—
1390C22—42no—
1391C22—42no—
1392C22—42no—
1393C22—42no—
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—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22C2×#121×C5911yescharacteristic
1427C22C59×#52511yescharacteristic
1428C22C59×#53211yescharacteristic
1429C22C59×#53411yescharacteristic
1430C22C59×#53411yescharacteristic
1431C22C59×#53511yescharacteristic
1432C22C59×#53511yescharacteristic
1433C22C59×#53511yescharacteristic
1434C22C59×#53511yescharacteristic
1435C22C59×#53511yescharacteristic
1436C22C59×#53511yescharacteristic
1437C22C59×#53811yescharacteristic
1438C22C59×#53811yescharacteristic
1439C22C59×#53811yescharacteristic
1440C22C59×#53811yescharacteristic
1441C22C59×#54011yescharacteristic
1442C22C59×#54011yescharacteristic
1443C22C59×#54011yescharacteristic
1444C22C59×#54011yescharacteristic
1445C22D42×C5911yescharacteristic
1446C22D42×C5911yescharacteristic
1447C22D42×C5911yescharacteristic
1448C22D42×C5911yescharacteristic
1449C22D42×C5911yescharacteristic
1450C22C59×#54611yescharacteristic
1451C22C59×#54611yescharacteristic
1452C22C59×#54611yescharacteristic
1453C22C59×#54611yescharacteristic
1454C22C59×#54611yescharacteristic
1455C22C59×#55011yescharacteristic
1456C22C59×#55311yescharacteristic
1457C22C59×#56011yescharacteristic
1458C22C59×#56011yescharacteristic
1459C22C59×#56011yescharacteristic
1460C22C59×H(3,𝔽4)11yescharacteristic
1461C4—24no—
1462C4—42no—
1463C4—42no—
1464C4—42no—
1465C4—42no—
1466C4—42no—
1467C4—42no—
1468C4—42no—
1469C4—42no—
1470C4—81no—
1471C4—81no—
1472C2—82no—
1473C2—82no—
1474C2—82no—
1475C2—82no—
1476C2C59×#242411yescharacteristic
1477C2C59×#242811yescharacteristic
1478C2C59×#246411yescharacteristic
1479C2C59×#261911yescharacteristic
1480C2C59×#263511yescharacteristic
1481C2C59×#266111yescharacteristic
1482C2C59×#266911yescharacteristic
1483C2C59×#266911yescharacteristic
1484C2C59×#267011yescharacteristic
1485C2C59×#267011yescharacteristic
1486C2C59×#267311yescharacteristic
1487C2C59×#267811yescharacteristic
1488C2C59×#270311yescharacteristic
1489C2C59×#271411yescharacteristic
1490C2C59×#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×#394C2semidirect
2. C2×C59×#394C2semidirect
3. C2×C59×#392C2semidirect
4. C2×C59×#392C2semidirect
5. C2×C59×#392C2semidirect
6. C2×C59×#392C2semidirect
7. C2×C59×#390C2semidirect
8. C2×C59×#388C2semidirect
9. C59×#1442C2semidirect
10. C59×#1440C2semidirect
11. C59×#1439C2semidirect
12. C59×#1438C2semidirect
13. C59×#1438C2semidirect
14. C59×#1438C2semidirect
15. C59×#1437C2semidirect
167. C2×C22⋊C4×C59D4semidirect
168. C2×C22⋊C4×C59D4semidirect
169. C2×C22⋊C4×C59D4semidirect
182. #95×C59D4semidirect
620. #16291C59direct (N × H)
727. C2×#394C2×C59semidirect
728. C2×#394C2×C59semidirect
729. C2×#392C2×C59semidirect
730. C2×#392C2×C59semidirect
731. C2×#392C2×C59semidirect
732. C2×#392C2×C59semidirect
733. C2×#390C2×C59semidirect
734. C2×#388C2×C59semidirect
735. #1442C2×C59semidirect
736. #1440C2×C59semidirect
737. #1439C2×C59semidirect
738. #1438C2×C59semidirect
739. #1438C2×C59semidirect
740. #1438C2×C59semidirect
741. #1437C2×C59semidirect
804. C59#16291direct (N × H)
913. C2×C22⋊C4D4×C59semidirect
914. C2×C22⋊C4D4×C59semidirect
915. C2×C22⋊C4D4×C59semidirect
928. #95D4×C59semidirect

Maximal subgroups

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

subgroupindex
C2×C59×#3942
C2×C59×#3922
C2×C59×#3902
C2×C59×#3882
C59×#14422
C59×#14402
C59×#14392
C59×#14382
C59×#14372
#1629159