Finite Group Databasebeta

← C2×#21438249 #29495807

Subgroups — C2×#21438249 #29495807

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#21438249C2132yesmaximal, direct product factor
2C2×#16838145C211yesmaximal, characteristic, complemented
3C2×#16838141C212yesmaximal, complemented
4C2×#16838080C211yesmaximal, characteristic, complemented
5C2×#16838077C212yesmaximal, complemented
6C2×#16838049C212yesmaximal, complemented
7C2×#16838044C212yesmaximal, complemented
8C2×#16838041C212yesmaximal, complemented
9C2×#16838037C211yesmaximal, characteristic, complemented
10C2×#16838036C212yesmaximal, complemented
11C2×#16837991C212yesmaximal, complemented
12C2×#16837988C212yesmaximal, complemented
13C2×#16837984C212yesmaximal, complemented
14C2×#16837968C212yesmaximal, complemented
15C2×#16837965C211yesmaximal, characteristic, complemented
16C2×#16837963C211yesmaximal, characteristic, complemented
17C2×#16837960C212yesmaximal, complemented
18C2×#120×D59C212yesmaximal, complemented
19C2×#120×D59C211yesmaximal, characteristic, complemented
20C2×C59×#560C211yesmaximal, characteristic, complemented
21C25×D59C2211yescharacteristic, complemented
22C22×#11745685C2212yescomplemented
23C22×#11745687C2211yescharacteristic, complemented
24C23×D236C2211yescharacteristic, complemented
25C22×D4×D59C2212yescomplemented
26C22×D4×D59C2212yescomplemented
27C22×D4×D59C2212yescomplemented
28C22×D4×D59C2212yescomplemented
29C22×D4×D59C2211yescharacteristic, complemented
30C22×D4×D59C2212yescomplemented
31#16838145C22116yescomplemented
32#16838141C22132yescomplemented
33#16838080C22116yescomplemented
34#16838077C22132yescomplemented
35#16838049C22132yescomplemented
36#16838044C22132yescomplemented
37#16838041C22132yescomplemented
38#16838037C22116yescomplemented
39#16838036C22132yescomplemented
40#16837991C22132yescomplemented
41#16837988C22132yescomplemented
42#16837984C22132yescomplemented
43#16837968C22132yescomplemented
44#16837965C22116yescomplemented
45#16837963C22116yescomplemented
46#16837960C22132yescomplemented
47C2×#14273723C2212yescomplemented
48C2×#14273723C2211yescharacteristic, complemented
49C2×#14273722C2212yescomplemented
50C2×#14273720C2212yescomplemented
51C2×#14273720C2212yescomplemented
52C2×#14273715C2211yescharacteristic, complemented
53C2×#14273714C2212yescomplemented
54C2×#14273714C2211yescharacteristic, complemented
55C2×#14273713C2212yescomplemented
56C2×#14273713C2212yescomplemented
57C2×#14273713C2212yescomplemented
58C2×#14273713C2212yescomplemented
59C2×#14273712C2212yescomplemented
60C2×#14273712C2212yescomplemented
61C2×#14273712C2212yescomplemented
62C2×#14273710C2211yescharacteristic, complemented
63C2×#14273709C2212yescomplemented
64C2×#14273709C2212yescomplemented
65C2×#14273709C2212yescomplemented
66C2×#14273708C2212yescomplemented
67C2×#14273707C2212yescomplemented
68C2×#14273705C2212yescomplemented
69C2×#14273705C2212yescomplemented
70C2×#14273702C2212yescomplemented
71C2×#14273702C2212yescomplemented
72C2×#14273701C2212yescomplemented
73C2×#14273700C2212yescomplemented
74C2×#14273700C2212yescomplemented
75C2×#14273700C2212yescomplemented
76C2×#14273699C2212yescomplemented
77C2×#14273699C2212yescomplemented
78C2×#14273699C2212yescomplemented
79C2×#14273698C2212yescomplemented
80C2×#14273698C2212yescomplemented
81C2×#14273698C2212yescomplemented
82C2×#14273697C2212yes—
83C2×#14273697C2211yescharacteristic, complemented
84C2×#14273697C2212yescomplemented
85C2×#14273697C2212yescomplemented
86C2×#14273697C2212yescomplemented
87C2×#14273697C2212yescomplemented
88C2×#14273697C2211yescharacteristic, complemented
89C2×#14273696C2211yescharacteristic, complemented
90C2×#14273696C2212yescomplemented
91C2×#14273695C2211yescharacteristic
92C2×#14273695C2212yescomplemented
93C2×#14273695C2212yescomplemented
94C2×#14273695C2212yescomplemented
95C2×#14273695C2212yescomplemented
96C2×#14273695C2212yescomplemented
97C2×#14273695C2211yescharacteristic, complemented
98C2×#14273695C2212yescomplemented
99C2×#14273695C2212yescomplemented
100#120×D59C22116yescomplemented
101#120×D59C22132yescomplemented
102C2×C4×D236C2212yescomplemented
103C2×#14273689C2212yescomplemented
104C2×#14273689C2212yescomplemented
105C2×C4×C22⋊D59C2212yescomplemented
106C2×C4×C22⋊D59C2212yescomplemented
107C2×(C22⋊D59)⋊C4C2212yescomplemented
108C2×#14273685C2212yescomplemented
109C2×#14273684C2211yescharacteristic, complemented
110C22×(C2×D59)⋊C4C2212yescomplemented
111C2×C22⋊C4×D59C2212yescomplemented
112C2×C22⋊C4×D59C2212yescomplemented
113C2×C22⋊C4×D59C2212yescomplemented
114C2×C22⋊C4×D59C2212yescomplemented
115C2×C22⋊C4×D59C2211yescharacteristic, complemented
116C2×C22⋊C4×D59C2211yescharacteristic, complemented
117C59×#560C22116yescomplemented
118C2×#127×C59C2211yescharacteristic, complemented
119C2×#126×C59C2212yescomplemented
120C2×#123×C59C2212yescomplemented
121C2×#123×C59C2211yescharacteristic, complemented
122C2×#121×C59C2212yescomplemented
123C2×#121×C59C2212yescomplemented
124C2×#121×C59C2212yescomplemented
125C2×#120×C59C2212yescomplemented
126C2×#120×C59C2211yescharacteristic, complemented
127C24×D59—44no—
128C24×D59—48no—
129C24×D59C2312yes—
130C24×D59C2311yescharacteristic
131C24×D59C2312yes—
132C24×D59C2311yescharacteristic
133C24×D59C2312yes—
134C24×D59C2311yescharacteristic
135C24×D59C2318yescomplemented
136C24×D59C2311yescharacteristic, complemented
137C2×#11745685—48no—
138C2×#11745685C23116yescomplemented
139C2×#11745687—44no—
140C2×#11745687C2318yescomplemented
141C22×Dic118C2311yescharacteristic, complemented
142C22×Dic118C2312yescomplemented
143C22×D236—44no—
144C22×D236C2312yes—
145C22×D236C2312yes—
146C22×D236C2312yes—
147C22×D236C2312yes—
148C22×D236C2311yescharacteristic
149C22×D236C2318yescomplemented
150C22×D236C2312yescomplemented
151C22×C22⋊D59C2312yes—
152C22×C22⋊D59C2312yes—
153C22×C22⋊D59C2312yes—
154C22×C22⋊D59C2312yes—
155C22×C22⋊D59C2312yes—
156C22×C22⋊D59C2312yes—
157C22×C22⋊D59C2311yescharacteristic
158C22×C22⋊D59C2312yes—
159C22×C22⋊D59C2311yescharacteristic
160C22×C22⋊D59C2312yes—
161C22×C22⋊D59C2312yescomplemented
162C22×C22⋊D59C2312yescomplemented
163C2×D4×D59—44no—
164C2×D4×D59—48no—
165C2×D4×D59—48no—
166C2×D4×D59—48no—
167C2×D4×D59—48no—
168C2×D4×D59—48no—
169C2×D4×D59C23116yescomplemented
170C2×D4×D59C2318yescomplemented
171C2×D4×D59C23116yescomplemented
172C2×D4×D59C23116yescomplemented
173C2×D4×D59C23116yescomplemented
174C2×D4×D59C23116yescomplemented
175C23×Dic59C2312yescomplemented
176C22×C4×D59C2312yes—
177C22×C4×D59C2311yescharacteristic
178C22×C4×D59C2312yes—
179C22×C4×D59C2312yes—
180C22×C4×D59C2312yes—
181C22×C4×D59C2312yescomplemented
182C22×C4×D59C2312yescomplemented
183#14273723C2318yescomplemented
184#14273723C23116yescomplemented
185#14273722C23116yescomplemented
186#14273720C23116yescomplemented
187#14273720C23116yescomplemented
188#14273715C2318yescomplemented
189#14273714C2318yescomplemented
190#14273714C23116yescomplemented
191#14273713C23116yescomplemented
192#14273713C23116yescomplemented
193#14273713C23116yescomplemented
194#14273713C23116yescomplemented
195#14273712C23116yescomplemented
196#14273712C23116yescomplemented
197#14273712C23116yescomplemented
198#14273710C2318yescomplemented
199#14273709C23116yescomplemented
200#14273709C23116yescomplemented
201#14273709C23116yescomplemented
202#14273708C23116yescomplemented
203#14273707C23116yescomplemented
204#14273705C23116yescomplemented
205#14273705C23116yescomplemented
206#14273702C23116yescomplemented
207#14273702C23116yescomplemented
208#14273701C23116yescomplemented
209#14273700C23116yescomplemented
210#14273700C23116yescomplemented
211#14273700C23116yescomplemented
212#14273699C23116yescomplemented
213#14273699C23116yescomplemented
214#14273699C23116yescomplemented
215#14273698C23116yescomplemented
216#14273698C23116yescomplemented
217#14273698C23116yescomplemented
218#14273697C23116yes—
219#14273697C23116yescomplemented
220#14273697C23116yescomplemented
221#14273697C23116yescomplemented
222#14273697C2318yescomplemented
223#14273697C23116yescomplemented
224#14273697C2318yescomplemented
225#14273696C23116yescomplemented
226#14273696C2318yescomplemented
227#14273695C2318yes—
228#14273695C23116yescomplemented
229#14273695C23116yescomplemented
230#14273695C23116yescomplemented
231#14273695C23116yescomplemented
232#14273695C23116yescomplemented
233#14273695C23116yescomplemented
234#14273695C23116yescomplemented
235#14273695C2318yescomplemented
236C4×D236C23116yescomplemented
237#14273689C23116yescomplemented
238#14273689C23116yescomplemented
239C4×C22⋊D59C23116yescomplemented
240C4×C22⋊D59C23116yescomplemented
241(C22⋊D59)⋊C4C23116yescomplemented
242#14273685C23116yescomplemented
243#14273684C2318yescomplemented
244C2×C4⋊Dic59C2312yescomplemented
245C2×C4⋊Dic59C2312yescomplemented
246C2×Dic59⋊C4C2312yescomplemented
247C2×Dic59⋊C4C2312yescomplemented
248C2×Dic59⋊C4C2312yescomplemented
249C2×Dic59⋊C4C2312yescomplemented
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2312yes—
252C2×C22⋊Dic59C2312yes—
253C2×C22⋊Dic59C2312yes—
254C2×C22⋊Dic59C2312yes—
255C2×C22⋊Dic59C2312yescomplemented
256C2×C22⋊Dic59C2311yescharacteristic, complemented
257C2×C22⋊Dic59C2312yescomplemented
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)⋊C4C2312yescomplemented
269C2×(C2×D59)⋊C4C2312yescomplemented
270C2×(C2×D59)⋊C4C2312yescomplemented
271C2×(C2×D59)⋊C4C2312yescomplemented
272C2×(C2×D59)⋊C4C2312yescomplemented
273C22⋊C4×D59C23116yescomplemented
274C22⋊C4×D59C2318yescomplemented
275C22⋊C4×D59C23116yescomplemented
276C22⋊C4×D59C23116yescomplemented
277C22⋊C4×D59C23116yescomplemented
278C22⋊C4×D59C2318yescomplemented
279C2×C4×Dic59C2312yescomplemented
280C2×C4×Dic59C2311yescharacteristic, complemented
281C2×C4×Dic59C2312yescomplemented
282C25×C59C2311yescharacteristic
283C22×D4×C59C2312yes—
284C22×D4×C59C2312yes—
285C22×D4×C59C2312yes—
286C22×D4×C59C2312yes—
287C22×D4×C59C2311yescharacteristic
288C22×D4×C59C2312yescomplemented
289C22×D4×C59C2311yescharacteristic, complemented
290C23×C4×C59C2312yescomplemented
291C23×C4×C59C2311yescharacteristic, complemented
292#127×C59C2318yescomplemented
293#126×C59C23116yescomplemented
294#123×C59C2318yescomplemented
295#123×C59C23116yescomplemented
296#121×C59C23116yescomplemented
297#121×C59C23116yescomplemented
298#121×C59C23116yescomplemented
299#120×C59C2318yescomplemented
300#120×C59C23116yescomplemented
301C2×C4⋊C4×C59C2312yescomplemented
302C2×C4⋊C4×C59C2312yescomplemented
303C2×C4⋊C4×C59C2312yescomplemented
304C2×C22⋊C4×C59C2312yes—
305C2×C22⋊C4×C59C2312yes—
306C2×C22⋊C4×C59C2312yes—
307C2×C22⋊C4×C59C2312yes—
308C2×C22⋊C4×C59C2311yescharacteristic
309C2×C22⋊C4×C59C2312yescomplemented
310C2×C22⋊C4×C59C2311yescharacteristic, complemented
311C2×C42×C59C2311yescharacteristic, complemented
312C24×C59—44no—
313C24×C59—42no—
314C24×C59C2412yes—
315C24×C59C2411yescharacteristic
316C24×C59C2411yescharacteristic
317C24×C59C2412yes—
318C24×C59C2414yes—
319C23×D59—28no—
320C23×D59—28no—
321C23×D59—28no—
322C23×D59—24no—
323C23×D59—28no—
324C23×D59—28no—
325C23×D59—24no—
326C23×D59—432no—
327C23×D59—416no—
328C23×D59—44no—
329C23×D59—42no—
330C23×D59—44no—
331C23×D59—44no—
332C23×D59—44no—
333C23×D59—44no—
334C23×D59—44no—
335C23×D59—44no—
336C23×D59—44no—
337C23×D59—42no—
338C23×D59—464no—
339C23×D59C2411yescharacteristic
340C23×D59C2412yes—
341C23×D59C2411yescharacteristic
342C23×D59C2414yes—
343C23×D59C2418yes—
344C23×D59C2412yes—
345C23×D59C2411yescharacteristic
346C23×D59C2418yes—
347C23×D59C2414yes—
348C23×D59C2414yes—
349C23×D59C2418yes—
350C23×D59C2414yescomplemented
351C2×D4×C59—42no—
352C2×D4×C59—44no—
353C2×D4×C59—44no—
354C2×D4×C59—44no—
355C2×D4×C59—44no—
356C2×D4×C59—44no—
357C2×D4×C59—42no—
358C2×D4×C59C2418yes—
359C2×D4×C59C2418yes—
360C2×D4×C59C2418yes—
361C2×D4×C59C2414yes—
362C2×D4×C59C2418yes—
363C2×D4×C59C2414yescomplemented
364C2×D4×C59C2418yescomplemented
365C22×C4×C59—42no—
366C22×C4×C59—44no—
367C22×C4×C59C2411yescharacteristic
368C22×C4×C59C2412yes—
369C22×C4×C59C2412yes—
370C22×C4×C59C2412yes—
371C22×C4×C59C2412yes—
372C22×C4×C59C2418yescomplemented
373C22×C4×C59C2414yescomplemented
374C2×C22⋊D59—28no—
375C2×C22⋊D59—28no—
376C2×C22⋊D59—28no—
377C2×C22⋊D59—44no—
378C2×C22⋊D59—44no—
379C2×C22⋊D59—44no—
380C2×C22⋊D59—44no—
381C2×C22⋊D59—42no—
382C2×C22⋊D59—42no—
383C2×C22⋊D59—44no—
384C2×C22⋊D59—44no—
385C2×C22⋊D59—44no—
386C2×C22⋊D59C2418yes—
387C2×C22⋊D59C2418yes—
388C2×C22⋊D59C2418yes—
389C2×C22⋊D59C2414yes—
390C2×C22⋊D59C2418yes—
391C2×C22⋊D59C2418yes—
392C2×C22⋊D59C2418yes—
393C2×C22⋊D59C2418yes—
394C2×C22⋊D59C2418yes—
395C2×C22⋊D59C2414yes—
396C2×C22⋊D59C2418yescomplemented
397C2×C22⋊D59C2418yescomplemented
398C22×Dic59—44no—
399C22×Dic59C2412yes—
400C22×Dic59C2412yes—
401C22×Dic59C2412yes—
402C22×Dic59C2412yes—
403C22×Dic59C2411yescharacteristic
404C22×Dic59C2418yescomplemented
405#11745687—416no—
406D4×D59—432no—
407D4×D59—416no—
408D4×D59—432no—
409D4×D59—432no—
410D4×D59—432no—
411D4×D59—432no—
412#11745685—432no—
413C2×D236—28no—
414C2×D236—28no—
415C2×D236—28no—
416C2×D236—416no—
417C2×D236—42no—
418C2×D236—44no—
419C2×D236—44no—
420C2×D236C2418yes—
421C2×D236C2418yes—
422C2×D236C2418yes—
423C2×D236C2418yes—
424C2×D236C2414yes—
425C2×D236C2418yescomplemented
426C2×C4×D59—24no—
427C2×C4×D59—28no—
428C2×C4×D59—44no—
429C2×C4×D59—44no—
430C2×C4×D59—44no—
431C2×C4×D59—44no—
432C2×C4×D59—44no—
433C2×C4×D59C2414yes—
434C2×C4×D59C2418yes—
435C2×C4×D59C2418yes—
436C2×C4×D59C2418yes—
437C2×C4×D59C2418yes—
438C2×C4×D59C2418yescomplemented
439C2×C4×D59C2418yescomplemented
440C2×Dic118—42no—
441C2×Dic118—44no—
442C2×Dic118C2414yescomplemented
443C2×Dic118C2418yescomplemented
444C4⋊C4×C59C2418yescomplemented
445C4⋊C4×C59C2418yescomplemented
446C4⋊C4×C59C2418yescomplemented
447C22⋊C4×C59C2418yes—
448C22⋊C4×C59C2418yes—
449C22⋊C4×C59C2418yes—
450C22⋊C4×C59C2418yes—
451C22⋊C4×C59C2414yes—
452C22⋊C4×C59C2414yescomplemented
453C22⋊C4×C59C2418yescomplemented
454C42×C59C2414yescomplemented
455C22⋊Dic59C2414yes—
456C22⋊Dic59C2418yes—
457C22⋊Dic59C2418yes—
458C22⋊Dic59C2418yes—
459C22⋊Dic59C2418yes—
460C22⋊Dic59C2414yescomplemented
461C22⋊Dic59C2418yescomplemented
462C22⋊Dic59C2418yescomplemented
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
477C4⋊Dic59C2418yescomplemented
478C4⋊Dic59C2418yescomplemented
479Dic59⋊C4C2418yescomplemented
480Dic59⋊C4C2418yescomplemented
481Dic59⋊C4C2418yescomplemented
482Dic59⋊C4C2418yescomplemented
483C4×Dic59C2414yescomplemented
484C4×Dic59C2418yescomplemented
485C4×Dic59C2418yescomplemented
486C23×C59—24no—
487C23×C59—24no—
488C23×C59—24no—
489C23×C59—24no—
490C23×C59—22no—
491C23×C59—24no—
492C23×C59—24no—
493C23×C59—24no—
494C23×C59—24no—
495C23×C59—22no—
496C23×C59—48no—
497C23×C59—44no—
498C23×C59—416no—
499C23×C59C2512yes—
500C23×C59C2514yes—
501C23×C59C2512yes—
502C23×C59C2514yes—
503C23×C59C2511yescharacteristic
504C22×D59—24no—
505C22×D59—24no—
506C22×D59—24no—
507C22×D59—24no—
508C22×D59—24no—
509C22×D59—24no—
510C22×D59—24no—
511C22×D59—22no—
512C22×D59—24no—
513C22×D59—22no—
514C22×D59—216no—
515C22×D59—216no—
516C22×D59—216no—
517C22×D59—216no—
518C22×D59—28no—
519C22×D59—28no—
520C22×D59—216no—
521C22×D59—44no—
522C22×D59—48no—
523C22×D59—48no—
524C22×D59—48no—
525C22×D59—48no—
526C22×D59—432no—
527C22×D59—416no—
528C22×D59—44no—
529C22×D59—48no—
530C22×D59—48no—
531C22×D59—48no—
532C22×D59—48no—
533C22×D59—416no—
534C22×D59—432no—
535C22×D59—4128no—
536C22×D59—88no—
537C22×D59—816no—
538C22×D59—88no—
539C22×D59H(5,𝔽2)14yes—
540C22×D59H(5,𝔽2)18yes—
541C22×D59C2512yes—
542C22×D59C2514yes—
543C22×D59C2512yes—
544C22×D59C2512yes—
545C22×D59C2514yes—
546D4×C59—44no—
547D4×C59—48no—
548D4×C59—48no—
549D4×C59—48no—
550D4×C59—48no—
551D4×C59—48no—
552D4×C59—44no—
553C2×C4×C59—22no—
554C2×C4×C59—24no—
555C2×C4×C59—24no—
556C2×C4×C59—24no—
557C2×C4×C59—24no—
558C2×C4×C59—44no—
559C2×C4×C59—48no—
560C2×C4×C59C2514yes—
561C2×C4×C59C2512yes—
562C2×C4×C59C2514yes—
563C2×C4×C59C2514yes—
564C2×C4×C59C2514yes—
565C22⋊D59—216no—
566C22⋊D59—216no—
567C22⋊D59—216no—
568C22⋊D59—48no—
569C22⋊D59—48no—
570C22⋊D59—48no—
571C22⋊D59—48no—
572C22⋊D59—48no—
573C22⋊D59—44no—
574C22⋊D59—44no—
575C22⋊D59—48no—
576C22⋊D59—48no—
577C2×Dic59—24no—
578C2×Dic59—24no—
579C2×Dic59—24no—
580C2×Dic59—22no—
581C2×Dic59—24no—
582C2×Dic59—48no—
583C2×Dic59C2514yes—
584C2×Dic59C2514yes—
585C2×Dic59C2514yes—
586C2×Dic59C2514yes—
587C2×Dic59C2512yes—
588D236—216no—
589D236—216no—
590D236—216no—
591D236—48no—
592D236—44no—
593D236—48no—
594C4×D59—216no—
595C4×D59—28no—
596C4×D59—48no—
597C4×D59—48no—
598C4×D59—48no—
599C4×D59—48no—
600C4×D59—48no—
601Dic118—48no—
602Dic118—44no—
603C2×#3532—591nomaximal, Sylow
604C22×C59—24no—
605C22×C59—24no—
606C22×C59—24no—
607C22×C59—24no—
608C22×C59—22no—
609C22×C59—24no—
610C22×C59—24no—
611C22×C59—24no—
612C22×C59—24no—
613C22×C59—22no—
614C22×C59—416no—
615C22×C59—48no—
616C22×C59—44no—
617C22×C59—44no—
618C22×C59—48no—
619C22×C59C2×H(5,𝔽2)14yes—
620C22×C59C2×H(5,𝔽2)12yes—
621C22×C59C2611yescharacteristic
622C2×D59—24no—
623C2×D59—24no—
624C2×D59—24no—
625C2×D59—28no—
626C2×D59—216no—
627C2×D59—24no—
628C2×D59—24no—
629C2×D59—24no—
630C2×D59—24no—
631C2×D59—22no—
632C2×D59—24no—
633C2×D59—22no—
634C2×D59—416no—
635C2×D59—432no—
636C2×D59—416no—
637C2×D59—432no—
638C2×D59—44no—
639C2×D59—44no—
640C2×D59—48no—
641C2×D59—88no—
642C2×D59—816no—
643C2×D59—88no—
644C2×D59C2×H(5,𝔽2)18yes—
645C2×D59C2×H(5,𝔽2)14yes—
646C4×C59—22no—
647C4×C59—24no—
648C4×C59—24no—
649C4×C59—24no—
650C4×C59—24no—
651Dic59—24no—
652Dic59—24no—
653Dic59—24no—
654Dic59—22no—
655Dic59—24no—
656#3532—5932no—
657C2×H(3,𝔽4)—591no—
658C2×#560—592no—
659C2×#560D5911yescharacteristic, complemented
660C2×#551—592no—
661C2×#551—591no—
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—591no—
673C2×#534—592no—
674C22×#120—591no—
675C22×#120—592no—
676C2×C59—42no—
677C2×C59—44no—
678C2×C59—42no—
679C2×C59—44no—
680C2×C59#353214yescomplemented
681C2×C59C22×H(5,𝔽2)12yes—
682C2×C59C22×H(5,𝔽2)11yescharacteristic
683D59—24no—
684D59—28no—
685D59—42no—
686D59—42no—
687D59—44no—
688C26—591no—
689C22×#41—591no—
690C22×#41—592no—
691C23×D4—591no—
692C23×D4—592no—
693C23×D4—592no—
694C23×D4—592no—
695C23×D4—592no—
696C23×D4—592no—
697C23×D4—591no—
698H(3,𝔽4)—5916no—
699#560—5932no—
700#560C2×D59116yescomplemented
701#551—5932no—
702#551—5916no—
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—5916no—
714#534—5932no—
715C2×#127—592no—
716C2×#127—591no—
717C2×#127C2×D5911yescharacteristic, complemented
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×#124—591no—
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⋊Q8—592no—
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×#121C2×D5912yescomplemented
755C2×#121C2×D5912yescomplemented
756C2×#121C2×D5912yescomplemented
757C2×#120—591no—
758C2×#120—592no—
759C2×#120—592no—
760C2×#120—592no—
761C2×#120—592no—
762C2×#120—591no—
763C2×#120—592no—
764C2×#120—591no—
765C2×#120—592no—
766C2×#120—592no—
767C2×#120—592no—
768C2×#120—5916no—
769C2×#120—5932no—
770C2×#120—592no—
771C2×#120—592no—
772C2×#120—592no—
773C2×#120—592no—
774C2×#120—591no—
775C2×#120—591no—
776C2×#120—592no—
777C2×#120C2×D5912yescomplemented
778C2×#120C2×D5911yescharacteristic, complemented
779C2×C4×D4—592no—
780C2×C4×D4—592no—
781C2×C4×D4—592no—
782C2×C4×D4—592no—
783C2×C4×D4—592no—
784C2×C4×D4—592no—
785C2×#117—592no—
786C2×#117—591no—
787C22×C22⋊C4—592no—
788C22×C22⋊C4—591no—
789C22×C22⋊C4—592no—
790C22×C22⋊C4—592no—
791C22×C22⋊C4—592no—
792C22×C22⋊C4—592no—
793C22×C22⋊C4—591no—
794C59C2×#353211yescharacteristic, complemented, Sylow
795C25—591no—
796C25—592no—
797C25—592no—
798C25—591no—
799C25—592no—
800C25—591no—
801C25—598no—
802C25—591no—
803C25—2364no—
804C25—2368no—
805C25C22×D5911yescharacteristic
806C2×#41—598no—
807C2×#41—5916no—
808C2×#41—2368no—
809C2×#41—2364no—
810C22×Q8—592no—
811C22×Q8—591no—
812C22×D4—592no—
813C22×D4—592no—
814C22×D4—592no—
815C22×D4—591no—
816C22×D4—592no—
817C22×D4—592no—
818C22×D4—592no—
819C22×D4—591no—
820C22×D4—592no—
821C22×D4—592no—
822C22×D4—592no—
823C22×D4—592no—
824C22×D4—598no—
825C22×D4—5916no—
826C22×D4—5916no—
827C22×D4—5916no—
828C22×D4—5916no—
829C22×D4—5916no—
830C22×D4—592no—
831C22×D4—592no—
832C22×D4—592no—
833C22×D4—592no—
834C22×D4—591no—
835C22×D4—592no—
836C22×D4—598no—
837C22×D4—2364no—
838C22×D4—2368no—
839C22×D4—2364no—
840C22×D4—2368no—
841C22×D4—2368no—
842C22×D4—2368no—
843C22×D4—2368no—
844C22×D4C22×D5912yes—
845C22×D4C22×D5911yescharacteristic
846C22×D4C22×D5912yes—
847C22×D4C22×D5912yes—
848C22×D4C22×D5912yes—
849C22×D4C22×D5911yescharacteristic, complemented
850C22×D4C22×D5912yescomplemented
851C23×C4—592no—
852C23×C4—592no—
853C23×C4—591no—
854C23×C4—592no—
855C23×C4—592no—
856C23×C4—592no—
857C23×C4—592no—
858C23×C4—592no—
859C23×C4C22×D5912yescomplemented
860C23×C4C22×D5911yescharacteristic, complemented
861#127—5916no—
862#127—598no—
863#127C22×D5918yescomplemented
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#124—598no—
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⋊Q8—5916no—
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#121C22×D59116yescomplemented
901#121C22×D59116yescomplemented
902#121C22×D59116yescomplemented
903#120—598no—
904#120—5916no—
905#120—5916no—
906#120—5916no—
907#120—5916no—
908#120—598no—
909#120—5916no—
910#120—598no—
911#120—5916no—
912#120—5916no—
913#120—5916no—
914#120—5916no—
915#120—5916no—
916#120—5916no—
917#120—5916no—
918#120—598no—
919#120—598no—
920#120—5916no—
921#120C22×D59116yescomplemented
922#120C22×D5918yescomplemented
923C4×D4—5916no—
924C4×D4—5916no—
925C4×D4—5916no—
926C4×D4—5916no—
927C4×D4—5916no—
928C4×D4—5916no—
929#117—5916no—
930#117—598no—
931C2×C4⋊C4—592no—
932C2×C4⋊C4—592no—
933C2×C4⋊C4—592no—
934C2×C4⋊C4—592no—
935C2×C4⋊C4—592no—
936C2×C4⋊C4—592no—
937C2×C4⋊C4C22×D5912yescomplemented
938C2×C4⋊C4C22×D5912yescomplemented
939C2×C4⋊C4C22×D5912yescomplemented
940C2×C22⋊C4—591no—
941C2×C22⋊C4—592no—
942C2×C22⋊C4—592no—
943C2×C22⋊C4—592no—
944C2×C22⋊C4—592no—
945C2×C22⋊C4—591no—
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—592no—
955C2×C22⋊C4—592no—
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—5916no—
963C2×C22⋊C4—598no—
964C2×C22⋊C4—5916no—
965C2×C22⋊C4—5916no—
966C2×C22⋊C4—5916no—
967C2×C22⋊C4—5916no—
968C2×C22⋊C4—598no—
969C2×C22⋊C4C22×D5912yes—
970C2×C22⋊C4C22×D5912yes—
971C2×C22⋊C4C22×D5912yes—
972C2×C22⋊C4C22×D5912yes—
973C2×C22⋊C4C22×D5911yescharacteristic
974C2×C22⋊C4C22×D5911yescharacteristic, complemented
975C2×C22⋊C4C22×D5912yescomplemented
976C2×C42—591no—
977C2×C42—592no—
978C2×C42—592no—
979C2×C42C22×D5911yescharacteristic, complemented
980C24—44no—
981C24—42no—
982C24—591no—
983C24—592no—
984C24—591no—
985C24—592no—
986C24—591no—
987C24—594no—
988C24—598no—
989C24—598no—
990C24—594no—
991C24—598no—
992C24—594no—
993C24—594no—
994C24—1184no—
995C24—1188no—
996C24—1188no—
997C24—1188no—
998C24—1188no—
999C24—1184no—
1000C24—1188no—
1001C24—2364no—
1002C24—2362no—
1003C24—2364no—
1004C24—2364no—
1005C24—2364no—
1006C24—2362no—
1007C24—2364no—
1008C24—2364no—
1009C24—2364no—
1010C24—2364no—
1011C24—23616no—
1012C24—23632no—
1013C24—23664no—
1014C24C23×D5911yescharacteristic
1015C24C23×D5912yes—
1016C24C23×D5911yescharacteristic
1017C24C23×D5912yes—
1018C24C23×D5914yes—
1019#41—23632no—
1020#41—23616no—
1021C2×Q8—598no—
1022C2×Q8—594no—
1023C2×Q8—2364no—
1024C2×Q8—2362no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—42no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—42no—
1032C2×D4—598no—
1033C2×D4—598no—
1034C2×D4—598no—
1035C2×D4—594no—
1036C2×D4—598no—
1037C2×D4—598no—
1038C2×D4—598no—
1039C2×D4—594no—
1040C2×D4—598no—
1041C2×D4—598no—
1042C2×D4—598no—
1043C2×D4—598no—
1044C2×D4—598no—
1045C2×D4—598no—
1046C2×D4—598no—
1047C2×D4—598no—
1048C2×D4—594no—
1049C2×D4—598no—
1050C2×D4—1188no—
1051C2×D4—1188no—
1052C2×D4—1188no—
1053C2×D4—1188no—
1054C2×D4—1188no—
1055C2×D4—1188no—
1056C2×D4—2364no—
1057C2×D4—2364no—
1058C2×D4—2362no—
1059C2×D4—23616no—
1060C2×D4—23632no—
1061C2×D4—23616no—
1062C2×D4—2362no—
1063C2×D4—2362no—
1064C2×D4—2364no—
1065C2×D4—2364no—
1066C2×D4—2364no—
1067C2×D4—2364no—
1068C2×D4—2364no—
1069C2×D4—2364no—
1070C2×D4—2364no—
1071C2×D4—23632no—
1072C2×D4—23632no—
1073C2×D4—23632no—
1074C2×D4—23632no—
1075C2×D4C23×D5918yes—
1076C2×D4C23×D5914yes—
1077C2×D4C23×D5918yes—
1078C2×D4C23×D5918yes—
1079C2×D4C23×D5918yes—
1080C2×D4C23×D5914yescomplemented
1081C2×D4C23×D5918yescomplemented
1082C22×C4—42no—
1083C22×C4—44no—
1084C22×C4—592no—
1085C22×C4—592no—
1086C22×C4—592no—
1087C22×C4—592no—
1088C22×C4—591no—
1089C22×C4—598no—
1090C22×C4—598no—
1091C22×C4—594no—
1092C22×C4—598no—
1093C22×C4—598no—
1094C22×C4—598no—
1095C22×C4—598no—
1096C22×C4—598no—
1097C22×C4—1188no—
1098C22×C4—1184no—
1099C22×C4—2364no—
1100C22×C4—2364no—
1101C22×C4—2364no—
1102C22×C4—2364no—
1103C22×C4—2364no—
1104C22×C4—2364no—
1105C22×C4C23×D5911yescharacteristic
1106C22×C4C23×D5912yes—
1107C22×C4C23×D5912yes—
1108C22×C4C23×D5912yes—
1109C22×C4C23×D5912yes—
1110C22×C4C23×D5918yescomplemented
1111C22×C4C23×D5914yescomplemented
1112C4⋊C4—598no—
1113C4⋊C4—598no—
1114C4⋊C4—598no—
1115C4⋊C4—598no—
1116C4⋊C4—598no—
1117C4⋊C4—598no—
1118C4⋊C4C23×D5918yescomplemented
1119C4⋊C4C23×D5918yescomplemented
1120C4⋊C4C23×D5918yescomplemented
1121C22⋊C4—594no—
1122C22⋊C4—598no—
1123C22⋊C4—598no—
1124C22⋊C4—598no—
1125C22⋊C4—598no—
1126C22⋊C4—594no—
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⋊C4—598no—
1143C22⋊C4C23×D5918yes—
1144C22⋊C4C23×D5918yes—
1145C22⋊C4C23×D5918yes—
1146C22⋊C4C23×D5918yes—
1147C22⋊C4C23×D5914yes—
1148C22⋊C4C23×D5914yescomplemented
1149C22⋊C4C23×D5918yescomplemented
1150C42—594no—
1151C42—598no—
1152C42—598no—
1153C42C23×D5914yescomplemented
1154C23—24no—
1155C23—22no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—22no—
1164C23—48no—
1165C23—44no—
1166C23—416no—
1167C23—594no—
1168C23—598no—
1169C23—592no—
1170C23—594no—
1171C23—592no—
1172C23—594no—
1173C23—592no—
1174C23—1188no—
1175C23—11816no—
1176C23—11816no—
1177C23—11816no—
1178C23—11816no—
1179C23—1188no—
1180C23—11816no—
1181C23—1184no—
1182C23—1184no—
1183C23—1184no—
1184C23—1184no—
1185C23—1184no—
1186C23—1184no—
1187C23—1184no—
1188C23—1182no—
1189C23—1184no—
1190C23—1182no—
1191C23—4728no—
1192C23—47216no—
1193C23—4728no—
1194C23—2368no—
1195C23—2364no—
1196C23—2368no—
1197C23—2368no—
1198C23—2368no—
1199C23—2364no—
1200C23—2368no—
1201C23—2368no—
1202C23—2368no—
1203C23—2368no—
1204C23—23632no—
1205C23—23616no—
1206C23—23616no—
1207C23—23632no—
1208C23—236128no—
1209C23C24×D5912yes—
1210C23C24×D5914yes—
1211C23C24×D5912yes—
1212C23C24×D5914yes—
1213C23C24×D5911yescharacteristic
1214Q8—2368no—
1215Q8—2364no—
1216D4—48no—
1217D4—48no—
1218D4—48no—
1219D4—44no—
1220D4—48no—
1221D4—48no—
1222D4—44no—
1223D4—11816no—
1224D4—11816no—
1225D4—11816no—
1226D4—11816no—
1227D4—11816no—
1228D4—11816no—
1229D4—2368no—
1230D4—2368no—
1231D4—2364no—
1232D4—2364no—
1233D4—2364no—
1234D4—2368no—
1235D4—2368no—
1236D4—2368no—
1237D4—2368no—
1238D4—2368no—
1239D4—2368no—
1240D4—2368no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—22no—
1245C2×C4—24no—
1246C2×C4—44no—
1247C2×C4—48no—
1248C2×C4—594no—
1249C2×C4—594no—
1250C2×C4—594no—
1251C2×C4—594no—
1252C2×C4—592no—
1253C2×C4—11816no—
1254C2×C4—1188no—
1255C2×C4—1182no—
1256C2×C4—1184no—
1257C2×C4—1184no—
1258C2×C4—1184no—
1259C2×C4—1184no—
1260C2×C4—2368no—
1261C2×C4—2368no—
1262C2×C4—2368no—
1263C2×C4—2368no—
1264C2×C4—2368no—
1265C2×C4—2368no—
1266C2×C4C24×D5912yes—
1267C2×C4C24×D5914yes—
1268C2×C4C24×D5914yes—
1269C2×C4C24×D5914yes—
1270C2×C4C24×D5914yes—
1271C22—24no—
1272C22—22no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—416no—
1282C22—48no—
1283C22—44no—
1284C22—44no—
1285C22—48no—
1286C22—594no—
1287C22—598no—
1288C22—1188no—
1289C22—11816no—
1290C22—1184no—
1291C22—1184no—
1292C22—1184no—
1293C22—1184no—
1294C22—1184no—
1295C22—1184no—
1296C22—1184no—
1297C22—1182no—
1298C22—1184no—
1299C22—1182no—
1300C22—4728no—
1301C22—47216no—
1302C22—4728no—
1303C22—23632no—
1304C22—23616no—
1305C22—23616no—
1306C22—23632no—
1307C22—2368no—
1308C22—2364no—
1309C22—2364no—
1310C22H(5,𝔽2)×D5914yes—
1311C22H(5,𝔽2)×D5912yes—
1312C22C25×D5911yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—24no—
1316C4—22no—
1317C4—24no—
1318C4—1182no—
1319C4—1184no—
1320C4—1184no—
1321C4—1184no—
1322C4—1184no—
1323C2—44no—
1324C2—42no—
1325C2—42no—
1326C2—44no—
1327C2—1184no—
1328C2—1188no—
1329C2—2364no—
1330C2—2362no—
1331C2—2362no—
1332C2#2143824914yesdirect product factor
1333C2C2×H(5,𝔽2)×D5912yes—
1334C2C2×H(5,𝔽2)×D5911yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#560C2
socleC23×C59C25
hypercenterC2×#560D59
hypocenterC59C2×#3532
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#560

Complements

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

NH ≅ G/Ntype
1. #21438249C2direct (N × H)
2. C2×#16838145C2semidirect
3. C2×#16838141C2semidirect
4. C2×#16838080C2semidirect
5. C2×#16838077C2semidirect
6. C2×#16838049C2semidirect
7. C2×#16838044C2semidirect
8. C2×#16838041C2semidirect
9. C2×#16838037C2semidirect
10. C2×#16838036C2semidirect
11. C2×#16837991C2semidirect
12. C2×#16837988C2semidirect
13. C2×#16837984C2semidirect
14. C2×#16837968C2semidirect
15. C2×#16837965C2semidirect
16. C2×#16837963C2semidirect
17. C2×#16837960C2semidirect
18. C2×#120×D59C2semidirect
19. C2×#120×D59C2semidirect
20. C2×C59×#560C2semidirect
21. C25×D59C22semidirect
22. C22×#11745685C22semidirect
23. C22×#11745687C22semidirect
24. C23×D236C22semidirect
25. C22×D4×D59C22semidirect
26. C22×D4×D59C22semidirect
27. C22×D4×D59C22semidirect
28. C22×D4×D59C22semidirect
29. C22×D4×D59C22semidirect
30. C22×D4×D59C22semidirect
31. #16838145C22semidirect
32. #16838141C22semidirect
33. #16838080C22semidirect
34. #16838077C22semidirect
35. #16838049C22semidirect
36. #16838044C22semidirect
37. #16838041C22semidirect
38. #16838037C22semidirect
39. #16838036C22semidirect
40. #16837991C22semidirect
41. #16837988C22semidirect
42. #16837984C22semidirect
43. #16837968C22semidirect
44. #16837965C22semidirect
45. #16837963C22semidirect
46. #16837960C22semidirect
47. C2×#14273723C22semidirect
48. C2×#14273723C22semidirect
49. C2×#14273722C22semidirect
50. C2×#14273720C22semidirect
51. C2×#14273720C22semidirect
52. C2×#14273715C22semidirect
53. C2×#14273714C22semidirect
54. C2×#14273714C22semidirect
55. C2×#14273713C22semidirect
56. C2×#14273713C22semidirect
57. C2×#14273713C22semidirect
58. C2×#14273713C22semidirect
59. C2×#14273712C22semidirect
60. C2×#14273712C22semidirect
61. C2×#14273712C22semidirect
62. C2×#14273710C22semidirect
63. C2×#14273709C22semidirect
64. C2×#14273709C22semidirect
65. C2×#14273709C22semidirect
66. C2×#14273708C22semidirect
67. C2×#14273707C22semidirect
68. C2×#14273705C22semidirect
69. C2×#14273705C22semidirect
70. C2×#14273702C22semidirect
71. C2×#14273702C22semidirect
72. C2×#14273701C22semidirect
73. C2×#14273700C22semidirect
74. C2×#14273700C22semidirect
75. C2×#14273700C22semidirect
76. C2×#14273699C22semidirect
77. C2×#14273699C22semidirect
78. C2×#14273699C22semidirect
79. C2×#14273698C22semidirect
80. C2×#14273698C22semidirect
81. C2×#14273698C22semidirect
83. C2×#14273697C22semidirect
84. C2×#14273697C22semidirect
85. C2×#14273697C22semidirect
86. C2×#14273697C22semidirect
87. C2×#14273697C22semidirect
88. C2×#14273697C22semidirect
89. C2×#14273696C22semidirect
90. C2×#14273696C22semidirect
92. C2×#14273695C22semidirect
93. C2×#14273695C22semidirect
94. C2×#14273695C22semidirect
95. C2×#14273695C22semidirect
96. C2×#14273695C22semidirect
97. C2×#14273695C22semidirect
98. C2×#14273695C22semidirect
99. C2×#14273695C22semidirect
100. #120×D59C22semidirect
101. #120×D59C22semidirect
102. C2×C4×D236C22semidirect
103. C2×#14273689C22semidirect
104. C2×#14273689C22semidirect
105. C2×C4×C22⋊D59C22semidirect
106. C2×C4×C22⋊D59C22semidirect
107. C2×(C22⋊D59)⋊C4C22semidirect
108. C2×#14273685C22semidirect
109. C2×#14273684C22semidirect
110. C22×(C2×D59)⋊C4C22semidirect
111. C2×C22⋊C4×D59C22semidirect
112. C2×C22⋊C4×D59C22semidirect
113. C2×C22⋊C4×D59C22semidirect
114. C2×C22⋊C4×D59C22semidirect
115. C2×C22⋊C4×D59C22semidirect
116. C2×C22⋊C4×D59C22semidirect
117. C59×#560C22semidirect
118. C2×#127×C59C22semidirect
119. C2×#126×C59C22semidirect
120. C2×#123×C59C22semidirect
121. C2×#123×C59C22semidirect
122. C2×#121×C59C22semidirect
123. C2×#121×C59C22semidirect
124. C2×#121×C59C22semidirect
125. C2×#120×C59C22semidirect
126. C2×#120×C59C22semidirect
135. C24×D59C23semidirect
136. C24×D59C23semidirect
138. C2×#11745685C23semidirect
140. C2×#11745687C23semidirect
141. C22×Dic118C23semidirect
142. C22×Dic118C23semidirect
149. C22×D236C23semidirect
150. C22×D236C23semidirect
161. C22×C22⋊D59C23semidirect
162. C22×C22⋊D59C23semidirect
169. C2×D4×D59C23semidirect
170. C2×D4×D59C23semidirect
171. C2×D4×D59C23semidirect
172. C2×D4×D59C23semidirect
173. C2×D4×D59C23semidirect
174. C2×D4×D59C23semidirect
175. C23×Dic59C23semidirect
181. C22×C4×D59C23semidirect
182. C22×C4×D59C23semidirect
183. #14273723C23semidirect
184. #14273723C23semidirect
185. #14273722C23semidirect
186. #14273720C23semidirect
187. #14273720C23semidirect
188. #14273715C23semidirect
189. #14273714C23semidirect
190. #14273714C23semidirect
191. #14273713C23semidirect
192. #14273713C23semidirect
193. #14273713C23semidirect
194. #14273713C23semidirect
195. #14273712C23semidirect
196. #14273712C23semidirect
197. #14273712C23semidirect
198. #14273710C23semidirect
199. #14273709C23semidirect
200. #14273709C23semidirect
201. #14273709C23semidirect
202. #14273708C23semidirect
203. #14273707C23semidirect
204. #14273705C23semidirect
205. #14273705C23semidirect
206. #14273702C23semidirect
207. #14273702C23semidirect
208. #14273701C23semidirect
209. #14273700C23semidirect
210. #14273700C23semidirect
211. #14273700C23semidirect
212. #14273699C23semidirect
213. #14273699C23semidirect
214. #14273699C23semidirect
215. #14273698C23semidirect
216. #14273698C23semidirect
217. #14273698C23semidirect
219. #14273697C23semidirect
220. #14273697C23semidirect
221. #14273697C23semidirect
222. #14273697C23semidirect
223. #14273697C23semidirect
224. #14273697C23semidirect
225. #14273696C23semidirect
226. #14273696C23semidirect
228. #14273695C23semidirect
229. #14273695C23semidirect
230. #14273695C23semidirect
231. #14273695C23semidirect
232. #14273695C23semidirect
233. #14273695C23semidirect
234. #14273695C23semidirect
235. #14273695C23semidirect
236. C4×D236C23semidirect
237. #14273689C23semidirect
238. #14273689C23semidirect
239. C4×C22⋊D59C23semidirect
240. C4×C22⋊D59C23semidirect
241. (C22⋊D59)⋊C4C23semidirect
242. #14273685C23semidirect
243. #14273684C23semidirect
244. C2×C4⋊Dic59C23semidirect
245. C2×C4⋊Dic59C23semidirect
246. C2×Dic59⋊C4C23semidirect
247. C2×Dic59⋊C4C23semidirect
248. C2×Dic59⋊C4C23semidirect
249. C2×Dic59⋊C4C23semidirect
255. C2×C22⋊Dic59C23semidirect
256. C2×C22⋊Dic59C23semidirect
257. 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. C22⋊C4×D59C23semidirect
274. C22⋊C4×D59C23semidirect
275. C22⋊C4×D59C23semidirect
276. C22⋊C4×D59C23semidirect
277. C22⋊C4×D59C23semidirect
278. C22⋊C4×D59C23semidirect
279. C2×C4×Dic59C23semidirect
280. C2×C4×Dic59C23semidirect
281. C2×C4×Dic59C23semidirect
288. C22×D4×C59C23semidirect
289. C22×D4×C59C23semidirect
290. C23×C4×C59C23semidirect
291. C23×C4×C59C23semidirect
292. #127×C59C23semidirect
293. #126×C59C23semidirect
294. #123×C59C23semidirect
295. #123×C59C23semidirect
296. #121×C59C23semidirect
297. #121×C59C23semidirect
298. #121×C59C23semidirect
299. #120×C59C23semidirect
300. #120×C59C23semidirect
301. C2×C4⋊C4×C59C23semidirect
302. C2×C4⋊C4×C59C23semidirect
303. C2×C4⋊C4×C59C23semidirect
309. C2×C22⋊C4×C59C23semidirect
310. C2×C22⋊C4×C59C23semidirect
311. C2×C42×C59C23semidirect
350. C23×D59C24semidirect
363. C2×D4×C59C24semidirect
364. C2×D4×C59C24semidirect
372. C22×C4×C59C24semidirect
373. C22×C4×C59C24semidirect
396. C2×C22⋊D59C24semidirect
397. C2×C22⋊D59C24semidirect
404. C22×Dic59C24semidirect
425. C2×D236C24semidirect
438. C2×C4×D59C24semidirect
439. C2×C4×D59C24semidirect
442. C2×Dic118C24semidirect
443. C2×Dic118C24semidirect
444. C4⋊C4×C59C24semidirect
445. C4⋊C4×C59C24semidirect
446. C4⋊C4×C59C24semidirect
452. C22⋊C4×C59C24semidirect
453. C22⋊C4×C59C24semidirect
454. C42×C59C24semidirect
460. C22⋊Dic59C24semidirect
461. C22⋊Dic59C24semidirect
462. C22⋊Dic59C24semidirect
472. (C2×D59)⋊C4C24semidirect
473. (C2×D59)⋊C4C24semidirect
474. (C2×D59)⋊C4C24semidirect
475. (C2×D59)⋊C4C24semidirect
476. (C2×D59)⋊C4C24semidirect
477. C4⋊Dic59C24semidirect
478. C4⋊Dic59C24semidirect
479. Dic59⋊C4C24semidirect
480. Dic59⋊C4C24semidirect
481. Dic59⋊C4C24semidirect
482. Dic59⋊C4C24semidirect
483. C4×Dic59C24semidirect
484. C4×Dic59C24semidirect
485. C4×Dic59C24semidirect
659. C2×#560D59semidirect
680. C2×C59#3532semidirect
700. #560C2×D59semidirect
717. C2×#127C2×D59semidirect
721. C2×#126C2×D59semidirect
737. C2×#123C2×D59semidirect
738. C2×#123C2×D59semidirect
754. C2×#121C2×D59semidirect
755. C2×#121C2×D59semidirect
756. C2×#121C2×D59semidirect
777. C2×#120C2×D59semidirect
778. C2×#120C2×D59semidirect
794. C59C2×#3532semidirect
849. C22×D4C22×D59semidirect
850. C22×D4C22×D59semidirect
859. C23×C4C22×D59semidirect
860. C23×C4C22×D59semidirect
863. #127C22×D59semidirect
867. #126C22×D59semidirect
883. #123C22×D59semidirect
884. #123C22×D59semidirect
900. #121C22×D59semidirect
901. #121C22×D59semidirect
902. #121C22×D59semidirect
921. #120C22×D59semidirect
922. #120C22×D59semidirect
937. C2×C4⋊C4C22×D59semidirect
938. C2×C4⋊C4C22×D59semidirect
939. C2×C4⋊C4C22×D59semidirect
974. C2×C22⋊C4C22×D59semidirect
975. C2×C22⋊C4C22×D59semidirect
979. C2×C42C22×D59semidirect
1080. C2×D4C23×D59semidirect
1081. C2×D4C23×D59semidirect
1110. C22×C4C23×D59semidirect
1111. C22×C4C23×D59semidirect
1118. C4⋊C4C23×D59semidirect
1119. C4⋊C4C23×D59semidirect
1120. C4⋊C4C23×D59semidirect
1148. C22⋊C4C23×D59semidirect
1149. C22⋊C4C23×D59semidirect
1153. C42C23×D59semidirect
1332. C2#21438249direct (N × H)

Maximal subgroups

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

subgroupindex
#214382492
C2×#168381452
C2×#168381412
C2×#168380802
C2×#168380772
C2×#168380492
C2×#168380442
C2×#168380412
C2×#168380372
C2×#168380362
C2×#168379912
C2×#168379882
C2×#168379842
C2×#168379682
C2×#168379652
C2×#168379632
C2×#168379602
C2×#120×D592
C2×C59×#5602
C2×#353259