Finite Group Databasebeta

← C2×#21438252 #29495813

Subgroups — C2×#21438252 #29495813

Order 15104.

9542 conjugacy classes of subgroups.

The subgroup lattice has 1336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438252C2132yesmaximal, direct product factor
2C2×#16838144C211yesmaximal, characteristic, complemented
3C2×#16838143C212yesmaximal, complemented
4C2×#16838142C211yesmaximal, characteristic, complemented
5C2×#16838076C212yesmaximal, complemented
6C2×#16838044C212yesmaximal, complemented
7C2×#16838043C212yesmaximal, complemented
8C2×#16838042C212yesmaximal, complemented
9C2×D4×D236C212yesmaximal, complemented
10C2×#16838034C211yesmaximal, characteristic, complemented
11C2×#16837992C212yesmaximal, complemented
12C2×#16837991C212yesmaximal, complemented
13C2×#16837985C212yesmaximal, complemented
14C2×#16837971C212yesmaximal, complemented
15C2×#16837970C211yesmaximal, characteristic, complemented
16C2×#16837963C211yesmaximal, characteristic, complemented
17C2×#16837963C212yesmaximal, complemented
18C22×#14273697C212yesmaximal, complemented
19C2×#120×D59C211yesmaximal, characteristic, complemented
20C2×C59×#551C211yesmaximal, characteristic, complemented
21C25×D59C2211yescharacteristic, complemented
22C22×#11745689C2211yescharacteristic, complemented
23C22×#11745685C2212yescomplemented
24C23×D236C2212yescomplemented
25C23×D236C2212yescomplemented
26C23×D236C2211yescharacteristic, complemented
27C23×C22⋊D59C2212yescomplemented
28C22×D4×D59C2212yescomplemented
29C22×D4×D59C2211yescharacteristic, complemented
30C22×D4×D59C2212yescomplemented
31#16838144C22116yescomplemented
32#16838143C22132yescomplemented
33#16838142C22116yescomplemented
34#16838076C22132yescomplemented
35#16838044C22132yescomplemented
36#16838043C22132yescomplemented
37#16838042C22132yescomplemented
38D4×D236C22132yescomplemented
39#16838034C22116yescomplemented
40#16837992C22132yescomplemented
41#16837991C22132yescomplemented
42#16837985C22132yescomplemented
43#16837971C22132yescomplemented
44#16837970C22116yescomplemented
45#16837963C22116yescomplemented
46#16837963C22132yescomplemented
47C2×#14273724C2212yescomplemented
48C2×#14273724C2211yescharacteristic, complemented
49C2×#14273723C2211yescharacteristic, complemented
50C2×#14273722C2212yescomplemented
51C2×#14273722C2212yescomplemented
52C2×#14273721C2212yescomplemented
53C2×#14273716C2212yescomplemented
54C2×#14273716C2211yescharacteristic, complemented
55C2×#14273715C2212yescomplemented
56C2×#14273715C2212yescomplemented
57C2×#14273713C2212yescomplemented
58C2×#14273713C2212yescomplemented
59C2×#14273712C2212yescomplemented
60C2×#14273712C2212yescomplemented
61C2×#14273712C2212yescomplemented
62C2×#14273712C2212yescomplemented
63C2×#14273712C2212yescomplemented
64C2×#14273710C2212yescomplemented
65C2×#14273710C2211yescharacteristic, complemented
66C2×#14273709C2212yescomplemented
67C2×#14273705C2212yescomplemented
68C2×#14273704C2212yescomplemented
69C2×#14273702C2212yescomplemented
70C2×#14273702C2212yescomplemented
71C2×#14273702C2212yescomplemented
72C2×#14273702C2212yescomplemented
73C2×#14273702C2212yescomplemented
74C2×#14273702C2212yescomplemented
75C2×#14273702C2212yescomplemented
76C2×#14273701C2212yescomplemented
77C2×#14273701C2212yescomplemented
78C2×#14273700C2212yescomplemented
79C2×#14273700C2212yescomplemented
80C2×#14273700C2212yescomplemented
81C2×#14273700C2212yescomplemented
82C2×#14273700C2212yescomplemented
83C2×#14273699C2212yescomplemented
84C2×#14273697C2212yes—
85C2×#14273697C2212yescomplemented
86C2×#14273697C2211yescharacteristic, complemented
87C2×#14273697C2212yescomplemented
88C2×#14273697C2212yescomplemented
89C2×#14273697C2212yescomplemented
90C2×#14273697C2212yescomplemented
91C2×#14273697C2212yescomplemented
92C2×#14273697C2212yescomplemented
93C2×#14273697C2212yescomplemented
94C2×#14273697C2212yescomplemented
95C2×#14273697C2212yescomplemented
96C2×#14273697C2212yescomplemented
97C2×#14273697C22132yescomplemented
98C2×#14273697C2212yescomplemented
99C2×#14273697C2211yescharacteristic, complemented
100C2×#14273696C2211yescharacteristic, complemented
101C2×#14273695C2211yescharacteristic, complemented
102C2×#14273695C2212yescomplemented
103C2×#14273695C2211yescharacteristic, complemented
104#120×D59C22116yescomplemented
105C2×C4×D236C2212yescomplemented
106C2×#14273689C2212yescomplemented
107C2×C4×C22⋊D59C2212yescomplemented
108C2×(C22⋊D59)⋊C4C2212yescomplemented
109C2×(C22⋊D59)⋊C4C2212yescomplemented
110C2×#14273684C2211yescharacteristic, complemented
111C22×(C2×D59)⋊C4C2212yescomplemented
112C22×(C2×D59)⋊C4C2212yescomplemented
113C2×C22⋊C4×D59C2212yescomplemented
114C2×C22⋊C4×D59C2211yescharacteristic, complemented
115C2×C22⋊C4×D59C2212yescomplemented
116C2×C22⋊C4×D59C2211yescharacteristic, complemented
117C59×#551C22116yescomplemented
118C2×#126×C59C2212yescomplemented
119C2×#124×C59C2211yescharacteristic, complemented
120C2×#123×C59C2211yescharacteristic, complemented
121C2×#123×C59C2212yescomplemented
122C2×C22⋊Q8×C59C2212yescomplemented
123C2×#120×C59C2211yescharacteristic
124C2×C4×D4×C59C2212yescomplemented
125C2×#117×C59C2212yescomplemented
126C22×C22⋊C4×C59C2212yescomplemented
127C24×D59—44no—
128C24×D59—48no—
129C24×D59C2312yes—
130C24×D59C2311yescharacteristic
131C24×D59C2312yes—
132C24×D59C2311yescharacteristic
133C24×D59C2312yes—
134C24×D59C2311yescharacteristic
135C24×D59C2318yescomplemented
136C24×D59C2311yescharacteristic, complemented
137C2×#11745689—44no—
138C2×#11745689C2318yescomplemented
139C2×#11745685—48no—
140C2×#11745685C23116yescomplemented
141C22×Dic118C2312yescomplemented
142C22×D236—44no—
143C22×D236—48no—
144C22×D236—48no—
145C22×D236C2312yes—
146C22×D236C2312yes—
147C22×D236C2312yes—
148C22×D236C2312yes—
149C22×D236C2312yes—
150C22×D236C2312yes—
151C22×D236C2312yes—
152C22×D236C2312yes—
153C22×D236C2312yes—
154C22×D236C2311yescharacteristic
155C22×D236C23116yescomplemented
156C22×D236C23116yescomplemented
157C22×D236C2318yescomplemented
158C22×D236C2312yescomplemented
159C22×D236C2311yescharacteristic, complemented
160C22×D236C2312yescomplemented
161C22×D236C2312yescomplemented
162C22×C22⋊D59—48no—
163C22×C22⋊D59C2312yes—
164C22×C22⋊D59C2312yes—
165C22×C22⋊D59C2312yes—
166C22×C22⋊D59C2311yescharacteristic
167C22×C22⋊D59C2312yes—
168C22×C22⋊D59C2312yes—
169C22×C22⋊D59C2311yescharacteristic
170C22×C22⋊D59C2312yes—
171C22×C22⋊D59C23116yescomplemented
172C22×C22⋊D59C2312yescomplemented
173C2×D4×D59—44no—
174C2×D4×D59—48no—
175C2×D4×D59—48no—
176C2×D4×D59C2318yescomplemented
177C2×D4×D59C23116yescomplemented
178C2×D4×D59C23116yescomplemented
179C23×Dic59C2312yes—
180C22×C4×D59C2311yescharacteristic
181C22×C4×D59C2312yes—
182C22×C4×D59C2312yescomplemented
183C22×C4×D59C2312yescomplemented
184C22×C4×D59C2312yescomplemented
185C22×C4×D59C2312yescomplemented
186#14273724C2318yescomplemented
187#14273724C23116yescomplemented
188#14273723C2318yescomplemented
189#14273722C23116yescomplemented
190#14273722C23116yescomplemented
191#14273721C23116yescomplemented
192#14273716C23116yescomplemented
193#14273716C2318yescomplemented
194#14273715C23116yescomplemented
195#14273715C23116yescomplemented
196#14273713C23116yescomplemented
197#14273713C23116yescomplemented
198#14273712C23116yescomplemented
199#14273712C23116yescomplemented
200#14273712C23116yescomplemented
201#14273712C23116yescomplemented
202#14273712C23116yescomplemented
203#14273710C2318yescomplemented
204#14273710C23116yescomplemented
205#14273709C23116yescomplemented
206#14273705C23116yescomplemented
207#14273704C23116yescomplemented
208#14273702C23116yescomplemented
209#14273702C23116yescomplemented
210#14273702C23116yescomplemented
211#14273702C23116yescomplemented
212#14273702C23116yescomplemented
213#14273702C23116yescomplemented
214#14273702C23116yescomplemented
215#14273701C23116yescomplemented
216#14273701C23116yescomplemented
217#14273700C23116yescomplemented
218#14273700C23116yescomplemented
219#14273700C23116yescomplemented
220#14273700C23116yescomplemented
221#14273700C23116yescomplemented
222#14273699C23116yescomplemented
223#14273697C23116yes—
224#14273697C23116yescomplemented
225#14273697C23116yescomplemented
226#14273697C23116yescomplemented
227#14273697C23116yescomplemented
228#14273697C23116yescomplemented
229#14273697C23116yescomplemented
230#14273697C23116yescomplemented
231#14273697C23116yescomplemented
232#14273697C2318yescomplemented
233#14273697C23116yescomplemented
234#14273697C23116yescomplemented
235#14273697C23116yescomplemented
236#14273697C23116yescomplemented
237#14273697C2318yescomplemented
238#14273696C2318yescomplemented
239#14273695C2318yescomplemented
240#14273695C23116yescomplemented
241#14273695C2318yescomplemented
242C4×D236C23116yescomplemented
243#14273689C23116yescomplemented
244C4×C22⋊D59C23116yescomplemented
245(C22⋊D59)⋊C4C23116yescomplemented
246(C22⋊D59)⋊C4C23116yescomplemented
247#14273684C2318yescomplemented
248C2×C4⋊Dic59C2312yescomplemented
249C2×Dic59⋊C4C2312yescomplemented
250C2×Dic59⋊C4C2312yescomplemented
251C2×Dic59⋊C4C2312yescomplemented
252C2×Dic59⋊C4C2312yescomplemented
253C2×C22⋊Dic59C2312yes—
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic, complemented
256C2×(C2×D59)⋊C4C2312yes—
257C2×(C2×D59)⋊C4C2312yes—
258C2×(C2×D59)⋊C4C2312yes—
259C2×(C2×D59)⋊C4C2312yes—
260C2×(C2×D59)⋊C4C2312yes—
261C2×(C2×D59)⋊C4C2312yes—
262C2×(C2×D59)⋊C4C2312yes—
263C2×(C2×D59)⋊C4C2312yes—
264C2×(C2×D59)⋊C4C2312yes—
265C2×(C2×D59)⋊C4C2312yes—
266C2×(C2×D59)⋊C4C2312yes—
267C2×(C2×D59)⋊C4C23116yescomplemented
268C2×(C2×D59)⋊C4C23116yescomplemented
269C2×(C2×D59)⋊C4C2312yescomplemented
270C2×(C2×D59)⋊C4C2312yescomplemented
271C2×(C2×D59)⋊C4C2312yescomplemented
272C2×(C2×D59)⋊C4C2312yescomplemented
273C2×(C2×D59)⋊C4C2312yescomplemented
274C2×(C2×D59)⋊C4C2312yescomplemented
275C2×(C2×D59)⋊C4C2312yescomplemented
276C22⋊C4×D59C2318yescomplemented
277C22⋊C4×D59C23116yescomplemented
278C22⋊C4×D59C2318yescomplemented
279C22⋊C4×D59C23116yescomplemented
280C2×C4×Dic59C2312yescomplemented
281C2×C4×Dic59C2311yescharacteristic, complemented
282C25×C59C2311yescharacteristic
283C22×Q8×C59C2311yescharacteristic, complemented
284C22×D4×C59C2312yes—
285C22×D4×C59C2311yescharacteristic
286C23×C4×C59C2312yes—
287C23×C4×C59C2312yes—
288C23×C4×C59C2311yescharacteristic, complemented
289#126×C59C23116yescomplemented
290#124×C59C2318yescomplemented
291#123×C59C2318yescomplemented
292#123×C59C23116yescomplemented
293C22⋊Q8×C59C23116yescomplemented
294#120×C59C2318yes—
295C4×D4×C59C23116yescomplemented
296#117×C59C23116yescomplemented
297C2×C4⋊C4×C59C2312yescomplemented
298C2×C4⋊C4×C59C2312yescomplemented
299C2×C4⋊C4×C59C2312yescomplemented
300C2×C4⋊C4×C59C2312yescomplemented
301C2×C22⋊C4×C59C2312yes—
302C2×C22⋊C4×C59C2312yes—
303C2×C22⋊C4×C59C2312yes—
304C2×C22⋊C4×C59C2312yes—
305C2×C22⋊C4×C59C2312yes—
306C2×C22⋊C4×C59C2311yescharacteristic
307C2×C22⋊C4×C59C23116yescomplemented
308C2×C22⋊C4×C59C2312yescomplemented
309C2×C22⋊C4×C59C2311yescharacteristic, complemented
310C2×C42×C59C2311yescharacteristic, complemented
311C2×C42×C59C2312yescomplemented
312C24×C59—28no—
313C24×C59—42no—
314C24×C59C2411yescharacteristic
315C24×C59C2411yescharacteristic
316C24×C59C2414yes—
317C24×C59C2412yes—
318C23×D59—28no—
319C23×D59—28no—
320C23×D59—28no—
321C23×D59—24no—
322C23×D59—28no—
323C23×D59—24no—
324C23×D59—416no—
325C23×D59—44no—
326C23×D59—44no—
327C23×D59—42no—
328C23×D59—44no—
329C23×D59—44no—
330C23×D59—44no—
331C23×D59—432no—
332C23×D59—44no—
333C23×D59—44no—
334C23×D59—44no—
335C23×D59—44no—
336C23×D59—42no—
337C23×D59—464no—
338C23×D59C2412yes—
339C23×D59C2411yescharacteristic
340C23×D59C2412yes—
341C23×D59C2411yescharacteristic
342C23×D59C2412yes—
343C23×D59C2418yes—
344C23×D59C2411yescharacteristic
345C23×D59C2414yes—
346C23×D59C2414yes—
347C23×D59C2418yes—
348C23×D59C2418yes—
349C23×D59C2414yes—
350C23×D59C2414yescomplemented
351C2×Q8×C59—42no—
352C2×Q8×C59C2414yescomplemented
353C2×D4×C59—28no—
354C2×D4×C59—42no—
355C2×D4×C59C2418yes—
356C2×D4×C59C2414yes—
357C22×C4×C59—28no—
358C22×C4×C59—44no—
359C22×C4×C59—42no—
360C22×C4×C59C2412yes—
361C22×C4×C59C2412yes—
362C22×C4×C59C2412yes—
363C22×C4×C59C2411yescharacteristic
364C22×C4×C59C2412yes—
365C22×C4×C59C2412yes—
366C22×C4×C59C2418yes—
367C22×C4×C59C2418yes—
368C22×C4×C59C2414yescomplemented
369C2×C22⋊D59—28no—
370C2×C22⋊D59—28no—
371C2×C22⋊D59—28no—
372C2×C22⋊D59—44no—
373C2×C22⋊D59—42no—
374C2×C22⋊D59—42no—
375C2×C22⋊D59—44no—
376C2×C22⋊D59—44no—
377C2×C22⋊D59—44no—
378C2×C22⋊D59—432no—
379C2×C22⋊D59C2418yes—
380C2×C22⋊D59C2418yes—
381C2×C22⋊D59C2418yes—
382C2×C22⋊D59C2414yes—
383C2×C22⋊D59C2418yes—
384C2×C22⋊D59C2418yes—
385C2×C22⋊D59C2414yes—
386C2×C22⋊D59C2418yes—
387C2×C22⋊D59C2418yescomplemented
388C22×Dic59—44no—
389C22×Dic59C2412yes—
390C22×Dic59C2412yes—
391C22×Dic59C2412yes—
392C22×Dic59C2411yescharacteristic
393C22×Dic59C2418yes—
394#11745689—416no—
395D4×D59—416no—
396D4×D59—432no—
397D4×D59—432no—
398#11745685—432no—
399C2×D236—28no—
400C2×D236—28no—
401C2×D236—416no—
402C2×D236—432no—
403C2×D236—42no—
404C2×D236—44no—
405C2×D236—44no—
406C2×D236—44no—
407C2×D236—44no—
408C2×D236—44no—
409C2×D236—44no—
410C2×D236—44no—
411C2×D236—44no—
412C2×D236—432no—
413C2×D236—44no—
414C2×D236—44no—
415C2×D236—42no—
416C2×D236C2418yes—
417C2×D236C2418yes—
418C2×D236C2418yes—
419C2×D236C2418yes—
420C2×D236C2418yes—
421C2×D236C2418yes—
422C2×D236C2418yes—
423C2×D236C2418yes—
424C2×D236C2418yes—
425C2×D236C2414yes—
426C2×D236C2418yescomplemented
427C2×D236C2414yescomplemented
428C2×D236C2418yescomplemented
429C2×D236C2418yescomplemented
430C2×C4×D59—24no—
431C2×C4×D59—44no—
432C2×C4×D59—44no—
433C2×C4×D59—44no—
434C2×C4×D59—44no—
435C2×C4×D59—44no—
436C2×C4×D59C2414yes—
437C2×C4×D59C2418yes—
438C2×C4×D59C2418yescomplemented
439C2×C4×D59C2418yescomplemented
440C2×C4×D59C2418yescomplemented
441C2×C4×D59C2418yescomplemented
442C2×Dic118—44no—
443C2×Dic118C2418yescomplemented
444C4⋊C4×C59C2418yescomplemented
445C4⋊C4×C59C2418yescomplemented
446C4⋊C4×C59C2418yescomplemented
447C4⋊C4×C59C2418yescomplemented
448C22⋊C4×C59C2418yes—
449C22⋊C4×C59C2418yes—
450C22⋊C4×C59C2418yes—
451C22⋊C4×C59C2418yes—
452C22⋊C4×C59C2418yes—
453C22⋊C4×C59C2414yes—
454C22⋊C4×C59C2418yescomplemented
455C22⋊C4×C59C2414yescomplemented
456C42×C59C2414yescomplemented
457C42×C59C2418yescomplemented
458C22⋊Dic59C2418yes—
459C22⋊Dic59C2414yes—
460C22⋊Dic59C2414yescomplemented
461(C2×D59)⋊C4C2418yes—
462(C2×D59)⋊C4C2418yes—
463(C2×D59)⋊C4C2418yes—
464(C2×D59)⋊C4C2418yes—
465(C2×D59)⋊C4C2418yes—
466(C2×D59)⋊C4C2418yes—
467(C2×D59)⋊C4C2418yes—
468(C2×D59)⋊C4C2418yes—
469(C2×D59)⋊C4C2418yes—
470(C2×D59)⋊C4C2418yes—
471(C2×D59)⋊C4C2418yes—
472(C2×D59)⋊C4C2418yescomplemented
473(C2×D59)⋊C4C2418yescomplemented
474(C2×D59)⋊C4C2418yescomplemented
475(C2×D59)⋊C4C2418yescomplemented
476(C2×D59)⋊C4C2418yescomplemented
477(C2×D59)⋊C4C2418yescomplemented
478(C2×D59)⋊C4C2418yescomplemented
479C4⋊Dic59C2418yescomplemented
480Dic59⋊C4C2418yescomplemented
481Dic59⋊C4C2418yescomplemented
482Dic59⋊C4C2418yescomplemented
483Dic59⋊C4C2418yescomplemented
484C4×Dic59C2414yescomplemented
485C4×Dic59C2418yescomplemented
486C23×C59—24no—
487C23×C59—24no—
488C23×C59—24no—
489C23×C59—216no—
490C23×C59—24no—
491C23×C59—22no—
492C23×C59—22no—
493C23×C59—44no—
494C23×C59—416no—
495C23×C59H(5,𝔽2)18yes—
496C23×C59C2512yes—
497C23×C59C2512yes—
498C23×C59C2514yes—
499C23×C59C2511yescharacteristic
500C22×D59—24no—
501C22×D59—24no—
502C22×D59—24no—
503C22×D59—24no—
504C22×D59—24no—
505C22×D59—24no—
506C22×D59—22no—
507C22×D59—24no—
508C22×D59—24no—
509C22×D59—216no—
510C22×D59—24no—
511C22×D59—24no—
512C22×D59—24no—
513C22×D59—22no—
514C22×D59—24no—
515C22×D59—216no—
516C22×D59—216no—
517C22×D59—216no—
518C22×D59—28no—
519C22×D59—28no—
520C22×D59—48no—
521C22×D59—48no—
522C22×D59—44no—
523C22×D59—48no—
524C22×D59—48no—
525C22×D59—48no—
526C22×D59—48no—
527C22×D59—44no—
528C22×D59—48no—
529C22×D59—48no—
530C22×D59—48no—
531C22×D59—432no—
532C22×D59—416no—
533C22×D59—432no—
534C22×D59—4128no—
535C22×D59—416no—
536C22×D59—88no—
537C22×D59—816no—
538C22×D59—88no—
539C22×D59H(5,𝔽2)14yes—
540C22×D59C2514yes—
541C22×D59C2512yes—
542C22×D59C2514yes—
543C22×D59C2514yes—
544C22×D59C2512yes—
545C22×D59C2512yes—
546Q8×C59—44no—
547D4×C59—216no—
548D4×C59—44no—
549C2×C4×C59—24no—
550C2×C4×C59—22no—
551C2×C4×C59—24no—
552C2×C4×C59—24no—
553C2×C4×C59—24no—
554C2×C4×C59—24no—
555C2×C4×C59—216no—
556C2×C4×C59—48no—
557C2×C4×C59—44no—
558C2×C4×C59C2512yes—
559C2×C4×C59C2514yes—
560C2×C4×C59C2514yes—
561C2×C4×C59C2514yes—
562C2×C4×C59C2514yes—
563C2×C4×C59C2514yes—
564C22⋊D59—216no—
565C22⋊D59—216no—
566C22⋊D59—216no—
567C22⋊D59—48no—
568C22⋊D59—44no—
569C22⋊D59—44no—
570C22⋊D59—48no—
571C22⋊D59—48no—
572C22⋊D59—48no—
573C2×Dic59—24no—
574C2×Dic59—24no—
575C2×Dic59—22no—
576C2×Dic59—24no—
577C2×Dic59—48no—
578C2×Dic59C2514yes—
579C2×Dic59C2514yes—
580C2×Dic59C2514yes—
581C2×Dic59C2512yes—
582D236—216no—
583D236—216no—
584D236—48no—
585D236—48no—
586D236—48no—
587D236—48no—
588D236—48no—
589D236—48no—
590D236—48no—
591D236—44no—
592D236—48no—
593D236—48no—
594D236—48no—
595D236—44no—
596C4×D59—28no—
597C4×D59—48no—
598C4×D59—48no—
599C4×D59—48no—
600C4×D59—48no—
601C4×D59—48no—
602Dic118—48no—
603C2×#3532—591nomaximal, Sylow
604C22×C59—24no—
605C22×C59—24no—
606C22×C59—216no—
607C22×C59—24no—
608C22×C59—24no—
609C22×C59—22no—
610C22×C59—22no—
611C22×C59—416no—
612C22×C59—44no—
613C22×C59—44no—
614C22×C59C2×H(5,𝔽2)12yes—
615C22×C59C2×H(5,𝔽2)18yes—
616C22×C59C2×H(5,𝔽2)14yes—
617C22×C59C2611yescharacteristic
618C2×D59—24no—
619C2×D59—28no—
620C2×D59—24no—
621C2×D59—24no—
622C2×D59—24no—
623C2×D59—24no—
624C2×D59—24no—
625C2×D59—22no—
626C2×D59—24no—
627C2×D59—24no—
628C2×D59—24no—
629C2×D59—24no—
630C2×D59—24no—
631C2×D59—22no—
632C2×D59—24no—
633C2×D59—432no—
634C2×D59—416no—
635C2×D59—432no—
636C2×D59—416no—
637C2×D59—48no—
638C2×D59—44no—
639C2×D59—48no—
640C2×D59—44no—
641C2×D59—48no—
642C2×D59—88no—
643C2×D59—816no—
644C2×D59—88no—
645C2×D59C2×H(5,𝔽2)14yes—
646C4×C59—24no—
647C4×C59—22no—
648C4×C59—24no—
649C4×C59—24no—
650C4×C59—24no—
651C4×C59—24no—
652Dic59—24no—
653Dic59—24no—
654Dic59—22no—
655Dic59—24no—
656#3532—5932no—
657C2×H(3,𝔽4)—591no—
658C2×#560—592no—
659C2×#560—591no—
660C2×#551—592no—
661C2×#551D5911yescharacteristic, complemented
662C2×#546—592no—
663C2×#546—592no—
664C2×#546—592no—
665C2×D42—591no—
666C2×D42—592no—
667C2×#538—592no—
668C2×#538—592no—
669C2×#538—592no—
670C2×#535—591no—
671C2×#535—592no—
672C2×#534—592no—
673C2×#534—591no—
674C22×#120—591no—
675C22×#120—592no—
676C2×C59—28no—
677C2×C59—42no—
678C2×C59—42no—
679C2×C59#353214yescomplemented
680C2×C59C22×H(5,𝔽2)11yescharacteristic
681C2×C59C22×H(5,𝔽2)12yes—
682D59—24no—
683D59—44no—
684D59—42no—
685D59—44no—
686D59—42no—
687D59—44no—
688C26—591no—
689C22×#41—591no—
690C22×#41—592no—
691C23×D4—592no—
692C23×D4—591no—
693C23×D4—592no—
694C23×D4—592no—
695C23×D4—592no—
696C23×D4—592no—
697C23×D4—591no—
698H(3,𝔽4)—5916no—
699#560—5932no—
700#560—5916no—
701#551—5932no—
702#551C2×D59116yescomplemented
703#546—5932no—
704#546—5932no—
705#546—5932no—
706D42—5916no—
707D42—5932no—
708#538—5932no—
709#538—5932no—
710#538—5932no—
711#535—5916no—
712#535—5932no—
713#534—5932no—
714#534—5916no—
715C2×#127—591no—
716C2×#127—591no—
717C2×#127—592no—
718C2×#126—592no—
719C2×#126—592no—
720C2×#126—592no—
721C2×#126C2×D5912yescomplemented
722C2×#124—591no—
723C2×#124—592no—
724C2×#124—592no—
725C2×#124—592no—
726C2×#124—592no—
727C2×#124—592no—
728C2×#124C2×D5911yescharacteristic, complemented
729C2×#123—592no—
730C2×#123—591no—
731C2×#123—592no—
732C2×#123—592no—
733C2×#123—592no—
734C2×#123—592no—
735C2×#123—592no—
736C2×#123—592no—
737C2×#123C2×D5911yescharacteristic, complemented
738C2×#123C2×D5912yescomplemented
739C2×C22⋊Q8—592no—
740C2×C22⋊Q8—592no—
741C2×C22⋊Q8C2×D5912yescomplemented
742C2×#121—592no—
743C2×#121—592no—
744C2×#121—592no—
745C2×#121—592no—
746C2×#121—592no—
747C2×#121—592no—
748C2×#121—592no—
749C2×#121—592no—
750C2×#121—592no—
751C2×#121—592no—
752C2×#121—592no—
753C2×#121—592no—
754C2×#121—592no—
755C2×#121—592no—
756C2×#121—592no—
757C2×#120—591no—
758C2×#120—592no—
759C2×#120—591no—
760C2×#120—591no—
761C2×#120—5916no—
762C2×#120—592no—
763C2×#120—592no—
764C2×#120—592no—
765C2×#120—592no—
766C2×#120—592no—
767C2×#120—592no—
768C2×#120—592no—
769C2×#120—592no—
770C2×#120—591no—
771C2×#120—592no—
772C2×#120—592no—
773C2×#120—592no—
774C2×#120—5932no—
775C2×#120—591no—
776C2×#120—592no—
777C2×#120—592no—
778C2×#120C2×D5911yescharacteristic
779C2×C4×D4—592no—
780C2×C4×D4—592no—
781C2×C4×D4—592no—
782C2×C4×D4—592no—
783C2×C4×D4—592no—
784C2×C4×D4C2×D5912yescomplemented
785C2×#117—591no—
786C2×#117C2×D5912yescomplemented
787C22×C22⋊C4—592no—
788C22×C22⋊C4—592no—
789C22×C22⋊C4—591no—
790C22×C22⋊C4—592no—
791C22×C22⋊C4—592no—
792C22×C22⋊C4—591no—
793C22×C22⋊C4C2×D5912yescomplemented
794C59C2×#353211yescharacteristic, complemented, Sylow
795C25—592no—
796C25—591no—
797C25—592no—
798C25—591no—
799C25—592no—
800C25—591no—
801C25—598no—
802C25—591no—
803C25—2368no—
804C25—2364no—
805C25C22×D5911yescharacteristic
806C2×#41—598no—
807C2×#41—5916no—
808C2×#41—2368no—
809C2×#41—2364no—
810C22×Q8—592no—
811C22×Q8C22×D5911yescharacteristic, complemented
812C22×D4—592no—
813C22×D4—592no—
814C22×D4—592no—
815C22×D4—591no—
816C22×D4—592no—
817C22×D4—592no—
818C22×D4—591no—
819C22×D4—592no—
820C22×D4—5916no—
821C22×D4—592no—
822C22×D4—598no—
823C22×D4—5916no—
824C22×D4—5916no—
825C22×D4—592no—
826C22×D4—592no—
827C22×D4—592no—
828C22×D4—592no—
829C22×D4—592no—
830C22×D4—592no—
831C22×D4—592no—
832C22×D4—592no—
833C22×D4—591no—
834C22×D4—592no—
835C22×D4—591no—
836C22×D4—592no—
837C22×D4—5916no—
838C22×D4—5916no—
839C22×D4—592no—
840C22×D4—592no—
841C22×D4—598no—
842C22×D4—2368no—
843C22×D4—2368no—
844C22×D4—2364no—
845C22×D4—2364no—
846C22×D4—2368no—
847C22×D4—2368no—
848C22×D4—2368no—
849C22×D4C22×D5912yes—
850C22×D4C22×D5911yescharacteristic
851C23×C4—592no—
852C23×C4—591no—
853C23×C4—592no—
854C23×C4—592no—
855C23×C4—592no—
856C23×C4—592no—
857C23×C4—592no—
858C23×C4C22×D5912yes—
859C23×C4C22×D5912yes—
860C23×C4C22×D5911yescharacteristic, complemented
861#127—598no—
862#127—598no—
863#127—5916no—
864#126—5916no—
865#126—5916no—
866#126—5916no—
867#126C22×D59116yescomplemented
868#124—598no—
869#124—5916no—
870#124—5916no—
871#124—5916no—
872#124—5916no—
873#124—5916no—
874#124C22×D5918yescomplemented
875#123—5916no—
876#123—598no—
877#123—5916no—
878#123—5916no—
879#123—5916no—
880#123—5916no—
881#123—5916no—
882#123—5916no—
883#123C22×D5918yescomplemented
884#123C22×D59116yescomplemented
885C22⋊Q8—5916no—
886C22⋊Q8—5916no—
887C22⋊Q8C22×D59116yescomplemented
888#121—5916no—
889#121—5916no—
890#121—5916no—
891#121—5916no—
892#121—5916no—
893#121—5916no—
894#121—5916no—
895#121—5916no—
896#121—5916no—
897#121—5916no—
898#121—5916no—
899#121—5916no—
900#121—5916no—
901#121—5916no—
902#121—5916no—
903#120—598no—
904#120—5916no—
905#120—598no—
906#120—598no—
907#120—5916no—
908#120—5916no—
909#120—5916no—
910#120—5916no—
911#120—5916no—
912#120—5916no—
913#120—5916no—
914#120—5916no—
915#120—598no—
916#120—5916no—
917#120—5916no—
918#120—5916no—
919#120—598no—
920#120—5916no—
921#120—5916no—
922#120C22×D5918yes—
923C4×D4—5916no—
924C4×D4—5916no—
925C4×D4—5916no—
926C4×D4—5916no—
927C4×D4—5916no—
928C4×D4C22×D59116yescomplemented
929#117—598no—
930#117C22×D59116yescomplemented
931C2×C4⋊C4—592no—
932C2×C4⋊C4—592no—
933C2×C4⋊C4—592no—
934C2×C4⋊C4—592no—
935C2×C4⋊C4—592no—
936C2×C4⋊C4C22×D5912yescomplemented
937C2×C4⋊C4C22×D5912yescomplemented
938C2×C4⋊C4C22×D5912yescomplemented
939C2×C4⋊C4C22×D5912yescomplemented
940C2×C22⋊C4—592no—
941C2×C22⋊C4—591no—
942C2×C22⋊C4—591no—
943C2×C22⋊C4—592no—
944C2×C22⋊C4—592no—
945C2×C22⋊C4—592no—
946C2×C22⋊C4—592no—
947C2×C22⋊C4—592no—
948C2×C22⋊C4—592no—
949C2×C22⋊C4—592no—
950C2×C22⋊C4—592no—
951C2×C22⋊C4—592no—
952C2×C22⋊C4—592no—
953C2×C22⋊C4—592no—
954C2×C22⋊C4—5916no—
955C2×C22⋊C4—5916no—
956C2×C22⋊C4—592no—
957C2×C22⋊C4—592no—
958C2×C22⋊C4—592no—
959C2×C22⋊C4—592no—
960C2×C22⋊C4—592no—
961C2×C22⋊C4—592no—
962C2×C22⋊C4—592no—
963C2×C22⋊C4—598no—
964C2×C22⋊C4—5916no—
965C2×C22⋊C4—5916no—
966C2×C22⋊C4—598no—
967C2×C22⋊C4C22×D5912yes—
968C2×C22⋊C4C22×D5912yes—
969C2×C22⋊C4C22×D5911yescharacteristic
970C2×C22⋊C4C22×D5912yes—
971C2×C22⋊C4C22×D5912yes—
972C2×C22⋊C4C22×D5912yes—
973C2×C22⋊C4C22×D59116yescomplemented
974C2×C22⋊C4C22×D5911yescharacteristic, complemented
975C2×C22⋊C4C22×D5912yescomplemented
976C2×C42—591no—
977C2×C42—592no—
978C2×C42C22×D5911yescharacteristic, complemented
979C2×C42C22×D5912yescomplemented
980C24—28no—
981C24—42no—
982C24—591no—
983C24—592no—
984C24—591no—
985C24—592no—
986C24—592no—
987C24—591no—
988C24—598no—
989C24—594no—
990C24—598no—
991C24—594no—
992C24—598no—
993C24—594no—
994C24—594no—
995C24—1184no—
996C24—1188no—
997C24—1184no—
998C24—1188no—
999C24—1188no—
1000C24—1188no—
1001C24—2364no—
1002C24—2364no—
1003C24—2362no—
1004C24—2364no—
1005C24—2364no—
1006C24—2364no—
1007C24—2364no—
1008C24—2364no—
1009C24—2362no—
1010C24—2364no—
1011C24—2364no—
1012C24—23632no—
1013C24—23616no—
1014C24—23664no—
1015C24C23×D5911yescharacteristic
1016C24C23×D5911yescharacteristic
1017C24C23×D5914yes—
1018C24C23×D5912yes—
1019#41—23632no—
1020#41—23616no—
1021C2×Q8—42no—
1022C2×Q8—598no—
1023C2×Q8—2364no—
1024C2×Q8C23×D5914yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—598no—
1028C2×D4—598no—
1029C2×D4—598no—
1030C2×D4—594no—
1031C2×D4—598no—
1032C2×D4—598no—
1033C2×D4—594no—
1034C2×D4—598no—
1035C2×D4—598no—
1036C2×D4—598no—
1037C2×D4—598no—
1038C2×D4—598no—
1039C2×D4—598no—
1040C2×D4—598no—
1041C2×D4—598no—
1042C2×D4—598no—
1043C2×D4—598no—
1044C2×D4—594no—
1045C2×D4—598no—
1046C2×D4—594no—
1047C2×D4—598no—
1048C2×D4—598no—
1049C2×D4—598no—
1050C2×D4—1188no—
1051C2×D4—1188no—
1052C2×D4—1188no—
1053C2×D4—1188no—
1054C2×D4—1188no—
1055C2×D4—2364no—
1056C2×D4—2364no—
1057C2×D4—2364no—
1058C2×D4—2362no—
1059C2×D4—2364no—
1060C2×D4—2364no—
1061C2×D4—2364no—
1062C2×D4—2364no—
1063C2×D4—23632no—
1064C2×D4—2364no—
1065C2×D4—2364no—
1066C2×D4—2362no—
1067C2×D4—2364no—
1068C2×D4—23632no—
1069C2×D4—23616no—
1070C2×D4—23616no—
1071C2×D4—2362no—
1072C2×D4—2362no—
1073C2×D4—2364no—
1074C2×D4—2364no—
1075C2×D4—2364no—
1076C2×D4—2364no—
1077C2×D4—23632no—
1078C2×D4—23632no—
1079C2×D4—23632no—
1080C2×D4C23×D5918yes—
1081C2×D4C23×D5914yes—
1082C22×C4—28no—
1083C22×C4—44no—
1084C22×C4—42no—
1085C22×C4—592no—
1086C22×C4—592no—
1087C22×C4—592no—
1088C22×C4—591no—
1089C22×C4—598no—
1090C22×C4—594no—
1091C22×C4—598no—
1092C22×C4—598no—
1093C22×C4—598no—
1094C22×C4—598no—
1095C22×C4—598no—
1096C22×C4—1184no—
1097C22×C4—2364no—
1098C22×C4—2364no—
1099C22×C4—2364no—
1100C22×C4—2364no—
1101C22×C4—2364no—
1102C22×C4—2364no—
1103C22×C4C23×D5918yes—
1104C22×C4C23×D5911yescharacteristic
1105C22×C4C23×D5912yes—
1106C22×C4C23×D5912yes—
1107C22×C4C23×D5912yes—
1108C22×C4C23×D5912yes—
1109C22×C4C23×D5912yes—
1110C22×C4C23×D5918yes—
1111C22×C4C23×D5914yescomplemented
1112C4⋊C4—598no—
1113C4⋊C4—598no—
1114C4⋊C4—598no—
1115C4⋊C4—598no—
1116C4⋊C4—598no—
1117C4⋊C4C23×D5918yescomplemented
1118C4⋊C4C23×D5918yescomplemented
1119C4⋊C4C23×D5918yescomplemented
1120C4⋊C4C23×D5918yescomplemented
1121C22⋊C4—598no—
1122C22⋊C4—594no—
1123C22⋊C4—594no—
1124C22⋊C4—598no—
1125C22⋊C4—598no—
1126C22⋊C4—598no—
1127C22⋊C4—598no—
1128C22⋊C4—598no—
1129C22⋊C4—598no—
1130C22⋊C4—598no—
1131C22⋊C4—598no—
1132C22⋊C4—598no—
1133C22⋊C4—598no—
1134C22⋊C4—598no—
1135C22⋊C4—598no—
1136C22⋊C4—598no—
1137C22⋊C4—598no—
1138C22⋊C4—598no—
1139C22⋊C4—598no—
1140C22⋊C4—598no—
1141C22⋊C4—598no—
1142C22⋊C4C23×D5918yes—
1143C22⋊C4C23×D5918yes—
1144C22⋊C4C23×D5914yes—
1145C22⋊C4C23×D5918yes—
1146C22⋊C4C23×D5918yes—
1147C22⋊C4C23×D5918yes—
1148C22⋊C4C23×D5914yescomplemented
1149C22⋊C4C23×D5918yescomplemented
1150C42—594no—
1151C42—598no—
1152C42C23×D5914yescomplemented
1153C42C23×D5918yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—22no—
1157C23—22no—
1158C23—24no—
1159C23—216no—
1160C23—24no—
1161C23—44no—
1162C23—416no—
1163C23—594no—
1164C23—592no—
1165C23—594no—
1166C23—592no—
1167C23—594no—
1168C23—594no—
1169C23—592no—
1170C23—1188no—
1171C23—11816no—
1172C23—1188no—
1173C23—1184no—
1174C23—11816no—
1175C23—1184no—
1176C23—1184no—
1177C23—1182no—
1178C23—1184no—
1179C23—1182no—
1180C23—1184no—
1181C23—1184no—
1182C23—1184no—
1183C23—1184no—
1184C23—1184no—
1185C23—11816no—
1186C23—11816no—
1187C23—1184no—
1188C23—1184no—
1189C23—1184no—
1190C23—47216no—
1191C23—4728no—
1192C23—4728no—
1193C23—2368no—
1194C23—2368no—
1195C23—2364no—
1196C23—2368no—
1197C23—2368no—
1198C23—2368no—
1199C23—2368no—
1200C23—2368no—
1201C23—2364no—
1202C23—2368no—
1203C23—2368no—
1204C23—23632no—
1205C23—23632no—
1206C23—23616no—
1207C23—236128no—
1208C23—23616no—
1209C23#1427377318yes—
1210C23C24×D5912yes—
1211C23C24×D5912yes—
1212C23C24×D5914yes—
1213C23C24×D5911yescharacteristic
1214Q8—44no—
1215Q8—2368no—
1216D4—216no—
1217D4—44no—
1218D4—11816no—
1219D4—11816no—
1220D4—11816no—
1221D4—11816no—
1222D4—11816no—
1223D4—2368no—
1224D4—2368no—
1225D4—2368no—
1226D4—2364no—
1227D4—2368no—
1228D4—2368no—
1229D4—2368no—
1230D4—2368no—
1231D4—2368no—
1232D4—2368no—
1233D4—2364no—
1234D4—2368no—
1235D4—2364no—
1236D4—2364no—
1237D4—2368no—
1238D4—2368no—
1239D4—2368no—
1240D4—2368no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—24no—
1245C2×C4—24no—
1246C2×C4—216no—
1247C2×C4—24no—
1248C2×C4—48no—
1249C2×C4—44no—
1250C2×C4—594no—
1251C2×C4—594no—
1252C2×C4—594no—
1253C2×C4—592no—
1254C2×C4—1188no—
1255C2×C4—1182no—
1256C2×C4—1184no—
1257C2×C4—1184no—
1258C2×C4—1184no—
1259C2×C4—2368no—
1260C2×C4—2368no—
1261C2×C4—2368no—
1262C2×C4—2368no—
1263C2×C4—2368no—
1264C2×C4—2368no—
1265C2×C4C24×D5912yes—
1266C2×C4C24×D5914yes—
1267C2×C4C24×D5914yes—
1268C2×C4C24×D5914yes—
1269C2×C4C24×D5914yes—
1270C2×C4C24×D5914yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
1274C22—22no—
1275C22—22no—
1276C22—24no—
1277C22—24no—
1278C22—416no—
1279C22—44no—
1280C22—44no—
1281C22—594no—
1282C22—1188no—
1283C22—1184no—
1284C22—1184no—
1285C22—1184no—
1286C22—1182no—
1287C22—1184no—
1288C22—1182no—
1289C22—1184no—
1290C22—1184no—
1291C22—1184no—
1292C22—1184no—
1293C22—1184no—
1294C22—1184no—
1295C22—1184no—
1296C22—1184no—
1297C22—47216no—
1298C22—4728no—
1299C22—4728no—
1300C22—23632no—
1301C22—23632no—
1302C22—23616no—
1303C22—23616no—
1304C22—2368no—
1305C22—2368no—
1306C22—2364no—
1307C22—2368no—
1308C22—2364no—
1309C22H(5,𝔽2)×D5912yes—
1310C22C2×#1427377318yes—
1311C22C2×#1427377314yes—
1312C22C25×D5911yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—24no—
1317C4—24no—
1318C4—24no—
1319C4—1182no—
1320C4—1184no—
1321C4—1184no—
1322C4—1184no—
1323C2—28no—
1324C2—42no—
1325C2—42no—
1326C2—1184no—
1327C2—2364no—
1328C2—2364no—
1329C2—2362no—
1330C2—2364no—
1331C2—2362no—
1332C2#2143825214yesdirect product factor
1333C2C2×H(5,𝔽2)×D5911yescharacteristic
1334C2C22×#1427377312yes—
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#551C2
socleC23×C59C25
hypercenterC2×#551D59
hypocenterC59C2×#3532
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21438252C2direct (N × H)
2. C2×#16838144C2semidirect
3. C2×#16838143C2semidirect
4. C2×#16838142C2semidirect
5. C2×#16838076C2semidirect
6. C2×#16838044C2semidirect
7. C2×#16838043C2semidirect
8. C2×#16838042C2semidirect
9. C2×D4×D236C2semidirect
10. C2×#16838034C2semidirect
11. C2×#16837992C2semidirect
12. C2×#16837991C2semidirect
13. C2×#16837985C2semidirect
14. C2×#16837971C2semidirect
15. C2×#16837970C2semidirect
16. C2×#16837963C2semidirect
17. C2×#16837963C2semidirect
18. C22×#14273697C2semidirect
19. C2×#120×D59C2semidirect
20. C2×C59×#551C2semidirect
21. C25×D59C22semidirect
22. C22×#11745689C22semidirect
23. C22×#11745685C22semidirect
24. C23×D236C22semidirect
25. C23×D236C22semidirect
26. C23×D236C22semidirect
27. C23×C22⋊D59C22semidirect
28. C22×D4×D59C22semidirect
29. C22×D4×D59C22semidirect
30. C22×D4×D59C22semidirect
31. #16838144C22semidirect
32. #16838143C22semidirect
33. #16838142C22semidirect
34. #16838076C22semidirect
35. #16838044C22semidirect
36. #16838043C22semidirect
37. #16838042C22semidirect
38. D4×D236C22semidirect
39. #16838034C22semidirect
40. #16837992C22semidirect
41. #16837991C22semidirect
42. #16837985C22semidirect
43. #16837971C22semidirect
44. #16837970C22semidirect
45. #16837963C22semidirect
46. #16837963C22semidirect
47. C2×#14273724C22semidirect
48. C2×#14273724C22semidirect
49. C2×#14273723C22semidirect
50. C2×#14273722C22semidirect
51. C2×#14273722C22semidirect
52. C2×#14273721C22semidirect
53. C2×#14273716C22semidirect
54. C2×#14273716C22semidirect
55. C2×#14273715C22semidirect
56. C2×#14273715C22semidirect
57. C2×#14273713C22semidirect
58. C2×#14273713C22semidirect
59. C2×#14273712C22semidirect
60. C2×#14273712C22semidirect
61. C2×#14273712C22semidirect
62. C2×#14273712C22semidirect
63. C2×#14273712C22semidirect
64. C2×#14273710C22semidirect
65. C2×#14273710C22semidirect
66. C2×#14273709C22semidirect
67. C2×#14273705C22semidirect
68. C2×#14273704C22semidirect
69. C2×#14273702C22semidirect
70. C2×#14273702C22semidirect
71. C2×#14273702C22semidirect
72. C2×#14273702C22semidirect
73. C2×#14273702C22semidirect
74. C2×#14273702C22semidirect
75. C2×#14273702C22semidirect
76. C2×#14273701C22semidirect
77. C2×#14273701C22semidirect
78. C2×#14273700C22semidirect
79. C2×#14273700C22semidirect
80. C2×#14273700C22semidirect
81. C2×#14273700C22semidirect
82. C2×#14273700C22semidirect
83. C2×#14273699C22semidirect
85. C2×#14273697C22semidirect
86. C2×#14273697C22semidirect
87. C2×#14273697C22semidirect
88. C2×#14273697C22semidirect
89. C2×#14273697C22semidirect
90. C2×#14273697C22semidirect
91. C2×#14273697C22semidirect
92. C2×#14273697C22semidirect
93. C2×#14273697C22semidirect
94. C2×#14273697C22semidirect
95. C2×#14273697C22semidirect
96. C2×#14273697C22semidirect
97. C2×#14273697C22semidirect
98. C2×#14273697C22semidirect
99. C2×#14273697C22semidirect
100. C2×#14273696C22semidirect
101. C2×#14273695C22semidirect
102. C2×#14273695C22semidirect
103. C2×#14273695C22semidirect
104. #120×D59C22semidirect
105. C2×C4×D236C22semidirect
106. C2×#14273689C22semidirect
107. C2×C4×C22⋊D59C22semidirect
108. C2×(C22⋊D59)⋊C4C22semidirect
109. C2×(C22⋊D59)⋊C4C22semidirect
110. C2×#14273684C22semidirect
111. C22×(C2×D59)⋊C4C22semidirect
112. C22×(C2×D59)⋊C4C22semidirect
113. C2×C22⋊C4×D59C22semidirect
114. C2×C22⋊C4×D59C22semidirect
115. C2×C22⋊C4×D59C22semidirect
116. C2×C22⋊C4×D59C22semidirect
117. C59×#551C22semidirect
118. C2×#126×C59C22semidirect
119. C2×#124×C59C22semidirect
120. C2×#123×C59C22semidirect
121. C2×#123×C59C22semidirect
122. C2×C22⋊Q8×C59C22semidirect
124. C2×C4×D4×C59C22semidirect
125. C2×#117×C59C22semidirect
126. C22×C22⋊C4×C59C22semidirect
135. C24×D59C23semidirect
136. C24×D59C23semidirect
138. C2×#11745689C23semidirect
140. C2×#11745685C23semidirect
141. C22×Dic118C23semidirect
155. C22×D236C23semidirect
156. C22×D236C23semidirect
157. C22×D236C23semidirect
158. C22×D236C23semidirect
159. C22×D236C23semidirect
160. C22×D236C23semidirect
161. C22×D236C23semidirect
171. C22×C22⋊D59C23semidirect
172. C22×C22⋊D59C23semidirect
176. C2×D4×D59C23semidirect
177. C2×D4×D59C23semidirect
178. C2×D4×D59C23semidirect
182. C22×C4×D59C23semidirect
183. C22×C4×D59C23semidirect
184. C22×C4×D59C23semidirect
185. C22×C4×D59C23semidirect
186. #14273724C23semidirect
187. #14273724C23semidirect
188. #14273723C23semidirect
189. #14273722C23semidirect
190. #14273722C23semidirect
191. #14273721C23semidirect
192. #14273716C23semidirect
193. #14273716C23semidirect
194. #14273715C23semidirect
195. #14273715C23semidirect
196. #14273713C23semidirect
197. #14273713C23semidirect
198. #14273712C23semidirect
199. #14273712C23semidirect
200. #14273712C23semidirect
201. #14273712C23semidirect
202. #14273712C23semidirect
203. #14273710C23semidirect
204. #14273710C23semidirect
205. #14273709C23semidirect
206. #14273705C23semidirect
207. #14273704C23semidirect
208. #14273702C23semidirect
209. #14273702C23semidirect
210. #14273702C23semidirect
211. #14273702C23semidirect
212. #14273702C23semidirect
213. #14273702C23semidirect
214. #14273702C23semidirect
215. #14273701C23semidirect
216. #14273701C23semidirect
217. #14273700C23semidirect
218. #14273700C23semidirect
219. #14273700C23semidirect
220. #14273700C23semidirect
221. #14273700C23semidirect
222. #14273699C23semidirect
224. #14273697C23semidirect
225. #14273697C23semidirect
226. #14273697C23semidirect
227. #14273697C23semidirect
228. #14273697C23semidirect
229. #14273697C23semidirect
230. #14273697C23semidirect
231. #14273697C23semidirect
232. #14273697C23semidirect
233. #14273697C23semidirect
234. #14273697C23semidirect
235. #14273697C23semidirect
236. #14273697C23semidirect
237. #14273697C23semidirect
238. #14273696C23semidirect
239. #14273695C23semidirect
240. #14273695C23semidirect
241. #14273695C23semidirect
242. C4×D236C23semidirect
243. #14273689C23semidirect
244. C4×C22⋊D59C23semidirect
245. (C22⋊D59)⋊C4C23semidirect
246. (C22⋊D59)⋊C4C23semidirect
247. #14273684C23semidirect
248. C2×C4⋊Dic59C23semidirect
249. C2×Dic59⋊C4C23semidirect
250. C2×Dic59⋊C4C23semidirect
251. C2×Dic59⋊C4C23semidirect
252. C2×Dic59⋊C4C23semidirect
255. C2×C22⋊Dic59C23semidirect
267. C2×(C2×D59)⋊C4C23semidirect
268. C2×(C2×D59)⋊C4C23semidirect
269. C2×(C2×D59)⋊C4C23semidirect
270. C2×(C2×D59)⋊C4C23semidirect
271. C2×(C2×D59)⋊C4C23semidirect
272. C2×(C2×D59)⋊C4C23semidirect
273. C2×(C2×D59)⋊C4C23semidirect
274. C2×(C2×D59)⋊C4C23semidirect
275. C2×(C2×D59)⋊C4C23semidirect
276. C22⋊C4×D59C23semidirect
277. C22⋊C4×D59C23semidirect
278. C22⋊C4×D59C23semidirect
279. C22⋊C4×D59C23semidirect
280. C2×C4×Dic59C23semidirect
281. C2×C4×Dic59C23semidirect
283. C22×Q8×C59C23semidirect
288. C23×C4×C59C23semidirect
289. #126×C59C23semidirect
290. #124×C59C23semidirect
291. #123×C59C23semidirect
292. #123×C59C23semidirect
293. C22⋊Q8×C59C23semidirect
295. C4×D4×C59C23semidirect
296. #117×C59C23semidirect
297. C2×C4⋊C4×C59C23semidirect
298. C2×C4⋊C4×C59C23semidirect
299. C2×C4⋊C4×C59C23semidirect
300. C2×C4⋊C4×C59C23semidirect
307. C2×C22⋊C4×C59C23semidirect
308. C2×C22⋊C4×C59C23semidirect
309. C2×C22⋊C4×C59C23semidirect
310. C2×C42×C59C23semidirect
311. C2×C42×C59C23semidirect
350. C23×D59C24semidirect
352. C2×Q8×C59C24semidirect
368. C22×C4×C59C24semidirect
387. C2×C22⋊D59C24semidirect
426. C2×D236C24semidirect
427. C2×D236C24semidirect
428. C2×D236C24semidirect
429. C2×D236C24semidirect
438. C2×C4×D59C24semidirect
439. C2×C4×D59C24semidirect
440. C2×C4×D59C24semidirect
441. C2×C4×D59C24semidirect
443. C2×Dic118C24semidirect
444. C4⋊C4×C59C24semidirect
445. C4⋊C4×C59C24semidirect
446. C4⋊C4×C59C24semidirect
447. C4⋊C4×C59C24semidirect
454. C22⋊C4×C59C24semidirect
455. C22⋊C4×C59C24semidirect
456. C42×C59C24semidirect
457. C42×C59C24semidirect
460. C22⋊Dic59C24semidirect
472. (C2×D59)⋊C4C24semidirect
473. (C2×D59)⋊C4C24semidirect
474. (C2×D59)⋊C4C24semidirect
475. (C2×D59)⋊C4C24semidirect
476. (C2×D59)⋊C4C24semidirect
477. (C2×D59)⋊C4C24semidirect
478. (C2×D59)⋊C4C24semidirect
479. C4⋊Dic59C24semidirect
480. Dic59⋊C4C24semidirect
481. Dic59⋊C4C24semidirect
482. Dic59⋊C4C24semidirect
483. Dic59⋊C4C24semidirect
484. C4×Dic59C24semidirect
485. C4×Dic59C24semidirect
661. C2×#551D59semidirect
679. C2×C59#3532semidirect
702. #551C2×D59semidirect
721. C2×#126C2×D59semidirect
728. C2×#124C2×D59semidirect
737. C2×#123C2×D59semidirect
738. C2×#123C2×D59semidirect
741. C2×C22⋊Q8C2×D59semidirect
784. C2×C4×D4C2×D59semidirect
786. C2×#117C2×D59semidirect
793. C22×C22⋊C4C2×D59semidirect
794. C59C2×#3532semidirect
811. C22×Q8C22×D59semidirect
860. C23×C4C22×D59semidirect
867. #126C22×D59semidirect
874. #124C22×D59semidirect
883. #123C22×D59semidirect
884. #123C22×D59semidirect
887. C22⋊Q8C22×D59semidirect
928. C4×D4C22×D59semidirect
930. #117C22×D59semidirect
936. C2×C4⋊C4C22×D59semidirect
937. C2×C4⋊C4C22×D59semidirect
938. C2×C4⋊C4C22×D59semidirect
939. C2×C4⋊C4C22×D59semidirect
973. C2×C22⋊C4C22×D59semidirect
974. C2×C22⋊C4C22×D59semidirect
975. C2×C22⋊C4C22×D59semidirect
978. C2×C42C22×D59semidirect
979. C2×C42C22×D59semidirect
1024. C2×Q8C23×D59semidirect
1111. C22×C4C23×D59semidirect
1117. C4⋊C4C23×D59semidirect
1118. C4⋊C4C23×D59semidirect
1119. C4⋊C4C23×D59semidirect
1120. C4⋊C4C23×D59semidirect
1148. C22⋊C4C23×D59semidirect
1149. C22⋊C4C23×D59semidirect
1152. C42C23×D59semidirect
1153. C42C23×D59semidirect
1332. C2#21438252direct (N × H)

Maximal subgroups

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

subgroupindex
#214382522
C2×#168381442
C2×#168381432
C2×#168381422
C2×#168380762
C2×#168380442
C2×#168380432
C2×#168380422
C2×D4×D2362
C2×#168380342
C2×#168379922
C2×#168379912
C2×#168379852
C2×#168379712
C2×#168379702
C2×#168379632
C22×#142736972
C2×#120×D592
C2×C59×#5512
C2×#353259