Finite Group Databasebeta

← C2×#21438250 #29495808

Subgroups — C2×#21438250 #29495808

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#21438250C2132yesmaximal, direct product factor
2C2×#16838144C211yesmaximal, characteristic, complemented
3C2×#16838140C212yesmaximal, complemented
4C2×#16838139C211yesmaximal, characteristic, complemented
5C2×#16838082C211yesmaximal, characteristic, complemented
6C2×#16838076C212yesmaximal, complemented
7C2×#16838041C212yesmaximal, complemented
8C2×#16838040C212yesmaximal, complemented
9C2×#16838039C212yesmaximal, complemented
10C2×#16838037C211yesmaximal, characteristic, complemented
11C2×#16838034C212yesmaximal, complemented
12C2×#16837987C212yesmaximal, complemented
13C2×#16837986C212yesmaximal, complemented
14C2×#16837984C212yesmaximal, complemented
15C2×#16837965C212yesmaximal, complemented
16C2×#16837961C211yesmaximal, characteristic, complemented
17C2×#16837960C212yesmaximal, complemented
18C22×#14273695C211yesmaximal, characteristic, complemented
19C2×#120×D59C212yesmaximal, complemented
20C2×C59×#535C211yesmaximal, characteristic, complemented
21C25×D59C2211yescharacteristic, complemented
22C22×#11745687C2212yescomplemented
23C23×C22⋊D59C2212yescomplemented
24C23×C22⋊D59C2211yescharacteristic, complemented
25C22×D4×D59C2212yescomplemented
26C22×D4×D59C2212yescomplemented
27C22×D4×D59C2212yescomplemented
28C22×D4×D59C2212yescomplemented
29#16838144C22116yescomplemented
30#16838140C22132yescomplemented
31#16838139C22116yescomplemented
32#16838082C22116yescomplemented
33#16838076C22132yescomplemented
34#16838041C22132yescomplemented
35#16838040C22132yescomplemented
36#16838039C22132yescomplemented
37#16838037C22116yescomplemented
38#16838034C22132yescomplemented
39#16837987C22132yescomplemented
40#16837986C22132yescomplemented
41#16837984C22132yescomplemented
42#16837965C22132yescomplemented
43#16837961C22116yescomplemented
44#16837960C22132yescomplemented
45C2×#14273723C2212yescomplemented
46C2×#14273722C2212yescomplemented
47C2×#14273721C2212yescomplemented
48C2×#14273720C2212yescomplemented
49C2×#14273720C2212yescomplemented
50C2×#14273716C2212yescomplemented
51C2×#14273715C2212yescomplemented
52C2×#14273714C2212yescomplemented
53C2×#14273713C2212yescomplemented
54C2×#14273713C2212yescomplemented
55C2×#14273712C2212yescomplemented
56C2×#14273712C2212yescomplemented
57C2×#14273711C2212yescomplemented
58C2×#14273710C2212yescomplemented
59C2×#14273710C2212yescomplemented
60C2×#14273709C2212yescomplemented
61C2×#14273709C2212yescomplemented
62C2×#14273708C2212yescomplemented
63C2×#14273708C2211yescharacteristic, complemented
64C2×#14273708C2211yescharacteristic, complemented
65C2×#14273705C2212yescomplemented
66C2×#14273704C2212yescomplemented
67C2×#14273703C2212yescomplemented
68C2×#14273701C2212yescomplemented
69C2×#14273700C2212yescomplemented
70C2×#14273700C2212yescomplemented
71C2×#14273699C2212yescomplemented
72C2×#14273699C2212yescomplemented
73C2×#14273699C2212yescomplemented
74C2×#14273699C2212yescomplemented
75C2×#14273699C2212yescomplemented
76C2×#14273699C2212yescomplemented
77C2×#14273699C2212yescomplemented
78C2×#14273699C2212yescomplemented
79C2×#14273698C2212yescomplemented
80C2×#14273698C2212yescomplemented
81C2×#14273697C2212yes—
82C2×#14273697C2212yescomplemented
83C2×#14273697C2212yescomplemented
84C2×#14273697C2212yescomplemented
85C2×#14273696C2212yescomplemented
86C2×#14273695C2211yescharacteristic
87C2×#14273695C2212yescomplemented
88C2×#14273695C2211yescharacteristic, complemented
89C2×#14273695C2211yescharacteristic, complemented
90C2×#14273695C2212yescomplemented
91C2×#14273695C2211yescharacteristic, complemented
92C2×#14273695C2212yescomplemented
93C2×#14273695C2212yescomplemented
94C2×#14273695C2212yescomplemented
95C2×#14273695C2211yescharacteristic, complemented
96C2×#14273695C2211yescharacteristic, complemented
97C2×#14273695C2212yescomplemented
98C2×#14273695C2212yescomplemented
99C2×#14273695C22116yescomplemented
100#120×D59C22132yescomplemented
101C2×C4×D236C2212yescomplemented
102C2×D4×Dic59C2212yescomplemented
103C2×C4×C22⋊D59C2212yescomplemented
104C2×(C22⋊D59)⋊C4C2212yescomplemented
105C2×(C22⋊D59)⋊C4C2212yescomplemented
106C2×(C22⋊D59)⋊C4C2212yescomplemented
107C2×#14273684C2212yescomplemented
108C22×C22⋊Dic59C2211yescharacteristic, complemented
109C22×C22⋊Dic59C2211yescharacteristic, complemented
110C22×(C2×D59)⋊C4C2212yescomplemented
111C22×(C2×D59)⋊C4C2212yescomplemented
112C2×C22⋊C4×D59C2212yescomplemented
113C2×C22⋊C4×D59C2212yescomplemented
114C2×C22⋊C4×D59C2212yescomplemented
115C22×#41×C59C2211yescharacteristic, complemented
116C23×D4×C59C2211yescharacteristic, complemented
117C59×#535C22116yescomplemented
118C2×#127×C59C2211yescharacteristic, complemented
119C2×#127×C59C2211yescharacteristic, complemented
120C2×#124×C59C2211yescharacteristic, complemented
121C2×#124×C59C2211yescharacteristic, complemented
122C2×#121×C59C2212yescomplemented
123C2×#121×C59C2212yescomplemented
124C2×#120×C59C2212yescomplemented
125C2×#120×C59C2212yescomplemented
126C2×#117×C59C2211yescharacteristic, complemented
127C24×D59—48no—
128C24×D59—44no—
129C24×D59C2312yes—
130C24×D59C2311yescharacteristic
131C24×D59C2312yes—
132C24×D59C2312yes—
133C24×D59C2311yescharacteristic
134C24×D59C2318yescomplemented
135C24×D59C2311yescharacteristic, complemented
136C2×#11745687—48no—
137C2×#11745687C23116yescomplemented
138C22×Dic118C2312yescomplemented
139C22×D236C2312yes—
140C22×D236C2312yes—
141C22×D236C2312yes—
142C22×C22⋊D59—48no—
143C22×C22⋊D59—44no—
144C22×C22⋊D59C2312yes—
145C22×C22⋊D59C2312yes—
146C22×C22⋊D59C2312yes—
147C22×C22⋊D59C2312yes—
148C22×C22⋊D59C2312yes—
149C22×C22⋊D59C2312yes—
150C22×C22⋊D59C2312yes—
151C22×C22⋊D59C2312yes—
152C22×C22⋊D59C2312yes—
153C22×C22⋊D59C2312yes—
154C22×C22⋊D59C23116yescomplemented
155C22×C22⋊D59C2312yescomplemented
156C22×C22⋊D59C2312yescomplemented
157C22×C22⋊D59C2318yescomplemented
158C2×D4×D59—48no—
159C2×D4×D59—48no—
160C2×D4×D59—48no—
161C2×D4×D59—48no—
162C2×D4×D59C23116yescomplemented
163C2×D4×D59C23116yescomplemented
164C2×D4×D59C23116yescomplemented
165C2×D4×D59C23116yescomplemented
166C23×Dic59C2312yes—
167C23×Dic59C2312yescomplemented
168C23×Dic59C2312yescomplemented
169C23×Dic59C2311yescharacteristic, complemented
170C22×C4×D59C2312yes—
171C22×C4×D59C2312yes—
172C22×C4×D59C2312yes—
173C22×C4×D59C2312yescomplemented
174#14273723C23116yescomplemented
175#14273722C23116yescomplemented
176#14273721C23116yescomplemented
177#14273720C23116yescomplemented
178#14273720C23116yescomplemented
179#14273716C23116yescomplemented
180#14273715C23116yescomplemented
181#14273714C23116yescomplemented
182#14273713C23116yescomplemented
183#14273713C23116yescomplemented
184#14273712C23116yescomplemented
185#14273712C23116yescomplemented
186#14273711C23116yescomplemented
187#14273710C23116yescomplemented
188#14273710C23116yescomplemented
189#14273709C23116yescomplemented
190#14273709C23116yescomplemented
191#14273708C2318yescomplemented
192#14273708C2318yescomplemented
193#14273708C23116yescomplemented
194#14273705C23116yescomplemented
195#14273704C23116yescomplemented
196#14273703C23116yescomplemented
197#14273701C23116yescomplemented
198#14273700C23116yescomplemented
199#14273700C23116yescomplemented
200#14273699C23116yescomplemented
201#14273699C23116yescomplemented
202#14273699C23116yescomplemented
203#14273699C23116yescomplemented
204#14273699C23116yescomplemented
205#14273699C23116yescomplemented
206#14273699C23116yescomplemented
207#14273699C23116yescomplemented
208#14273698C23116yescomplemented
209#14273698C23116yescomplemented
210#14273697C23116yes—
211#14273697C23116yescomplemented
212#14273697C23116yescomplemented
213#14273697C23116yescomplemented
214#14273696C23116yescomplemented
215#14273695C2318yes—
216#14273695C2318yescomplemented
217#14273695C23116yescomplemented
218#14273695C23116yescomplemented
219#14273695C23116yescomplemented
220#14273695C23116yescomplemented
221#14273695C2318yescomplemented
222#14273695C23116yescomplemented
223#14273695C2318yescomplemented
224#14273695C23116yescomplemented
225#14273695C23116yescomplemented
226#14273695C2318yescomplemented
227#14273695C2318yescomplemented
228C4×D236C23116yescomplemented
229D4×Dic59C23116yescomplemented
230C4×C22⋊D59C23116yescomplemented
231(C22⋊D59)⋊C4C23116yescomplemented
232(C22⋊D59)⋊C4C23116yescomplemented
233(C22⋊D59)⋊C4C23116yescomplemented
234#14273684C23116yescomplemented
235C2×C4⋊Dic59C2312yescomplemented
236C2×C4⋊Dic59C2312yescomplemented
237C2×Dic59⋊C4C2312yescomplemented
238C2×Dic59⋊C4C2312yescomplemented
239C2×Dic59⋊C4C2312yescomplemented
240C2×Dic59⋊C4C2312yescomplemented
241C2×Dic59⋊C4C2312yescomplemented
242C2×Dic59⋊C4C2312yescomplemented
243C2×C22⋊Dic59C2312yes—
244C2×C22⋊Dic59C2312yes—
245C2×C22⋊Dic59C2312yes—
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2312yes—
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2318yescomplemented
250C2×C22⋊Dic59C2318yescomplemented
251C2×C22⋊Dic59C2312yescomplemented
252C2×C22⋊Dic59C2311yescharacteristic, complemented
253C2×C22⋊Dic59C2312yescomplemented
254C2×C22⋊Dic59C2311yescharacteristic, complemented
255C2×(C2×D59)⋊C4C2312yes—
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)⋊C4C23116yescomplemented
266C2×(C2×D59)⋊C4C23116yescomplemented
267C2×(C2×D59)⋊C4C2312yescomplemented
268C2×(C2×D59)⋊C4C2312yescomplemented
269C2×(C2×D59)⋊C4C2312yescomplemented
270C2×(C2×D59)⋊C4C2312yescomplemented
271C22⋊C4×D59C23116yescomplemented
272C22⋊C4×D59C23116yescomplemented
273C22⋊C4×D59C23116yescomplemented
274C2×C4×Dic59C2312yescomplemented
275C2×C4×Dic59C2312yescomplemented
276C25×C59C2311yescharacteristic
277C25×C59C2311yescharacteristic
278C2×#41×C59—44no—
279C2×#41×C59C2318yescomplemented
280C22×Q8×C59C2311yescharacteristic, complemented
281C22×D4×C59—44no—
282C22×D4×C59C2312yes—
283C22×D4×C59C2312yes—
284C22×D4×C59C2311yescharacteristic
285C22×D4×C59C2311yescharacteristic
286C22×D4×C59C2312yes—
287C22×D4×C59C2311yescharacteristic
288C22×D4×C59C2311yescharacteristic
289C22×D4×C59C2318yescomplemented
290C22×D4×C59C2312yescomplemented
291C22×D4×C59C2311yescharacteristic, complemented
292C22×D4×C59C2312yescomplemented
293C23×C4×C59C2311yescharacteristic
294C23×C4×C59C2312yescomplemented
295#127×C59C2318yescomplemented
296#127×C59C2318yescomplemented
297#124×C59C2318yescomplemented
298#124×C59C2318yescomplemented
299#121×C59C23116yescomplemented
300#121×C59C23116yescomplemented
301#120×C59C23116yescomplemented
302#120×C59C23116yescomplemented
303#117×C59C2318yescomplemented
304C2×C4⋊C4×C59C2312yescomplemented
305C2×C22⋊C4×C59C2312yes—
306C2×C22⋊C4×C59C2312yes—
307C2×C22⋊C4×C59C2312yes—
308C2×C22⋊C4×C59C2312yescomplemented
309C2×C22⋊C4×C59C2312yescomplemented
310C2×C42×C59C2311yescharacteristic, complemented
311C2×C42×C59C2311yescharacteristic, complemented
312C24×C59—24no—
313C24×C59—24no—
314C24×C59—44no—
315C24×C59—44no—
316C24×C59C2411yescharacteristic
317C24×C59C2411yescharacteristic
318C24×C59C2411yescharacteristic
319C24×C59C2411yescharacteristic
320C24×C59C2412yes—
321C24×C59C2411yescharacteristic
322C24×C59C2414yes—
323C24×C59C2414yes—
324C23×D59—28no—
325C23×D59—28no—
326C23×D59—28no—
327C23×D59—28no—
328C23×D59—28no—
329C23×D59—432no—
330C23×D59—42no—
331C23×D59—44no—
332C23×D59—44no—
333C23×D59—44no—
334C23×D59—42no—
335C23×D59—44no—
336C23×D59—416no—
337C23×D59—44no—
338C23×D59—44no—
339C23×D59—44no—
340C23×D59—42no—
341C23×D59—464no—
342C23×D59C2412yes—
343C23×D59C2412yes—
344C23×D59C2414yes—
345C23×D59C2418yes—
346C23×D59C2412yes—
347C23×D59C2418yes—
348C23×D59C2418yes—
349C23×D59C2414yes—
350C23×D59C2414yescomplemented
351#41×C59—416no—
352C2×Q8×C59—42no—
353C2×Q8×C59C2414yescomplemented
354C2×D4×C59—28no—
355C2×D4×C59—42no—
356C2×D4×C59—42no—
357C2×D4×C59—42no—
358C2×D4×C59—42no—
359C2×D4×C59—416no—
360C2×D4×C59—44no—
361C2×D4×C59—44no—
362C2×D4×C59—42no—
363C2×D4×C59—44no—
364C2×D4×C59—44no—
365C2×D4×C59C2418yes—
366C2×D4×C59C2418yes—
367C2×D4×C59C2418yes—
368C2×D4×C59C2414yes—
369C2×D4×C59C2414yes—
370C2×D4×C59C2414yes—
371C2×D4×C59C2414yes—
372C2×D4×C59C2418yescomplemented
373C2×D4×C59C2418yescomplemented
374C2×D4×C59C2414yescomplemented
375C22×C4×C59—24no—
376C22×C4×C59—44no—
377C22×C4×C59C2411yescharacteristic
378C22×C4×C59C2412yes—
379C22×C4×C59C2412yes—
380C22×C4×C59C2412yes—
381C22×C4×C59C2411yescharacteristic
382C22×C4×C59C2414yes—
383C22×C4×C59C2418yescomplemented
384C2×C22⋊D59—28no—
385C2×C22⋊D59—28no—
386C2×C22⋊D59—28no—
387C2×C22⋊D59—28no—
388C2×C22⋊D59—44no—
389C2×C22⋊D59—44no—
390C2×C22⋊D59—44no—
391C2×C22⋊D59—44no—
392C2×C22⋊D59—44no—
393C2×C22⋊D59—44no—
394C2×C22⋊D59—44no—
395C2×C22⋊D59—44no—
396C2×C22⋊D59—432no—
397C2×C22⋊D59—416no—
398C2×C22⋊D59C2418yes—
399C2×C22⋊D59C2418yes—
400C2×C22⋊D59C2418yes—
401C2×C22⋊D59C2418yes—
402C2×C22⋊D59C2418yes—
403C2×C22⋊D59C2418yes—
404C2×C22⋊D59C2418yes—
405C2×C22⋊D59C2418yes—
406C2×C22⋊D59C2418yes—
407C2×C22⋊D59C2418yes—
408C2×C22⋊D59C2418yescomplemented
409C2×C22⋊D59C2418yescomplemented
410C22×Dic59—44no—
411C22×Dic59—42no—
412C22×Dic59—44no—
413C22×Dic59—44no—
414C22×Dic59C2412yes—
415C22×Dic59C2412yes—
416C22×Dic59C2412yes—
417C22×Dic59C2412yes—
418C22×Dic59C2412yes—
419C22×Dic59C2418yes—
420C22×Dic59C2418yescomplemented
421C22×Dic59C2418yescomplemented
422C22×Dic59C2414yescomplemented
423#11745687—432no—
424D4×D59—432no—
425D4×D59—432no—
426D4×D59—432no—
427D4×D59—432no—
428C2×D236—28no—
429C2×D236—44no—
430C2×D236—44no—
431C2×D236C2418yes—
432C2×D236C2418yes—
433C2×D236C2418yes—
434C2×C4×D59—28no—
435C2×C4×D59—44no—
436C2×C4×D59—44no—
437C2×C4×D59—44no—
438C2×C4×D59C2418yes—
439C2×C4×D59C2418yes—
440C2×C4×D59C2418yes—
441C2×C4×D59C2418yescomplemented
442C2×Dic118—44no—
443C2×Dic118C2418yescomplemented
444C4⋊C4×C59C2418yescomplemented
445C22⋊C4×C59C2418yes—
446C22⋊C4×C59C2418yes—
447C22⋊C4×C59C2418yes—
448C22⋊C4×C59C2418yescomplemented
449C22⋊C4×C59C2418yescomplemented
450C42×C59C2414yescomplemented
451C42×C59C2414yescomplemented
452C22⋊Dic59C2418yes—
453C22⋊Dic59C2418yes—
454C22⋊Dic59C2418yes—
455C22⋊Dic59C2414yes—
456C22⋊Dic59C2418yes—
457C22⋊Dic59C2414yes—
458C22⋊Dic59C2414yescomplemented
459C22⋊Dic59C2414yescomplemented
460C22⋊Dic59C2418yescomplemented
461C22⋊Dic59C2418yescomplemented
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
476C4⋊Dic59C2418yescomplemented
477C4⋊Dic59C2418yescomplemented
478Dic59⋊C4C2418yescomplemented
479Dic59⋊C4C2418yescomplemented
480Dic59⋊C4C2418yescomplemented
481Dic59⋊C4C2418yescomplemented
482Dic59⋊C4C2418yescomplemented
483Dic59⋊C4C2418yescomplemented
484C4×Dic59C2418yescomplemented
485C4×Dic59C2418yescomplemented
486C23×C59—24no—
487C23×C59—24no—
488C23×C59—24no—
489C23×C59—22no—
490C23×C59—24no—
491C23×C59—24no—
492C23×C59—22no—
493C23×C59—24no—
494C23×C59—24no—
495C23×C59—24no—
496C23×C59—28no—
497C23×C59—22no—
498C23×C59—22no—
499C23×C59—28no—
500C23×C59—48no—
501C23×C59—48no—
502C23×C59—416no—
503C23×C59—88no—
504C23×C59H(5,𝔽2)14yes—
505C23×C59C2512yes—
506C23×C59C2512yes—
507C23×C59C2512yes—
508C23×C59C2514yes—
509C23×C59C2512yes—
510C23×C59C2512yes—
511C23×C59C2511yescharacteristic
512C22×D59—24no—
513C22×D59—24no—
514C22×D59—24no—
515C22×D59—24no—
516C22×D59—24no—
517C22×D59—24no—
518C22×D59—24no—
519C22×D59—216no—
520C22×D59—24no—
521C22×D59—216no—
522C22×D59—216no—
523C22×D59—216no—
524C22×D59—216no—
525C22×D59—44no—
526C22×D59—48no—
527C22×D59—48no—
528C22×D59—48no—
529C22×D59—44no—
530C22×D59—48no—
531C22×D59—416no—
532C22×D59—48no—
533C22×D59—48no—
534C22×D59—48no—
535C22×D59—44no—
536C22×D59—432no—
537C22×D59—432no—
538C22×D59—4128no—
539C22×D59—416no—
540C22×D59—816no—
541C22×D59—88no—
542C22×D59H(5,𝔽2)18yes—
543C22×D59C2514yes—
544C22×D59C2514yes—
545C22×D59C2514yes—
546Q8×C59—44no—
547D4×C59—216no—
548D4×C59—48no—
549D4×C59—48no—
550D4×C59—48no—
551D4×C59—48no—
552D4×C59—44no—
553D4×C59—44no—
554D4×C59—44no—
555D4×C59—44no—
556D4×C59—44no—
557C2×C4×C59—24no—
558C2×C4×C59—24no—
559C2×C4×C59—24no—
560C2×C4×C59—22no—
561C2×C4×C59—22no—
562C2×C4×C59—28no—
563C2×C4×C59—48no—
564C2×C4×C59C2514yes—
565C2×C4×C59C2514yes—
566C2×C4×C59C2514yes—
567C2×C4×C59C2512yes—
568C2×C4×C59C2512yes—
569C22⋊D59—216no—
570C22⋊D59—216no—
571C22⋊D59—216no—
572C22⋊D59—216no—
573C22⋊D59—48no—
574C22⋊D59—48no—
575C22⋊D59—48no—
576C22⋊D59—48no—
577C22⋊D59—48no—
578C22⋊D59—48no—
579C22⋊D59—48no—
580C22⋊D59—48no—
581C2×Dic59—24no—
582C2×Dic59—24no—
583C2×Dic59—24no—
584C2×Dic59—24no—
585C2×Dic59—24no—
586C2×Dic59—48no—
587C2×Dic59—48no—
588C2×Dic59—48no—
589C2×Dic59—44no—
590C2×Dic59C2514yes—
591C2×Dic59C2514yes—
592C2×Dic59C2514yes—
593C2×Dic59C2514yes—
594C2×Dic59C2514yes—
595D236—216no—
596D236—48no—
597D236—48no—
598C4×D59—216no—
599C4×D59—48no—
600C4×D59—48no—
601C4×D59—48no—
602Dic118—48no—
603C2×#3532—591nomaximal, Sylow
604C22×C59—24no—
605C22×C59—28no—
606C22×C59—24no—
607C22×C59—24no—
608C22×C59—22no—
609C22×C59—24no—
610C22×C59—24no—
611C22×C59—22no—
612C22×C59—24no—
613C22×C59—24no—
614C22×C59—24no—
615C22×C59—22no—
616C22×C59—22no—
617C22×C59—416no—
618C22×C59—44no—
619C22×C59—44no—
620C22×C59—48no—
621C22×C59—44no—
622C22×C59—44no—
623C22×C59—88no—
624C22×C59C2×H(5,𝔽2)14yes—
625C22×C59C2×H(5,𝔽2)14yes—
626C22×C59C2×H(5,𝔽2)12yes—
627C22×C59C2611yescharacteristic
628C2×D59—24no—
629C2×D59—24no—
630C2×D59—216no—
631C2×D59—24no—
632C2×D59—24no—
633C2×D59—24no—
634C2×D59—24no—
635C2×D59—24no—
636C2×D59—24no—
637C2×D59—416no—
638C2×D59—432no—
639C2×D59—432no—
640C2×D59—416no—
641C2×D59—48no—
642C2×D59—48no—
643C2×D59—816no—
644C2×D59—88no—
645C2×D59C2×H(5,𝔽2)18yes—
646C4×C59—24no—
647C4×C59—24no—
648C4×C59—24no—
649C4×C59—22no—
650C4×C59—22no—
651Dic59—24no—
652Dic59—24no—
653Dic59—24no—
654Dic59—24no—
655Dic59—24no—
656#3532—5932no—
657C2×H(3,𝔽4)—591no—
658C2×#560—591no—
659C2×#560—592no—
660C2×#551—591no—
661C2×#551—592no—
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—592no—
671C2×#535D5911yescharacteristic, complemented
672C2×#534—591no—
673C2×#534—592no—
674C22×#120—591no—
675C22×#120—592no—
676C2×C59—24no—
677C2×C59—42no—
678C2×C59—42no—
679C2×C59—44no—
680C2×C59—42no—
681C2×C59—42no—
682C2×C59#353214yescomplemented
683C2×C59C22×H(5,𝔽2)12yes—
684C2×C59C22×H(5,𝔽2)11yescharacteristic
685D59—28no—
686D59—44no—
687D59—44no—
688C26—591no—
689C22×#41—592no—
690C22×#41C2×D5911yescharacteristic, complemented
691C23×D4—592no—
692C23×D4—591no—
693C23×D4—592no—
694C23×D4—592no—
695C23×D4—592no—
696C23×D4—592no—
697C23×D4C2×D5911yescharacteristic, complemented
698H(3,𝔽4)—5916no—
699#560—5916no—
700#560—5932no—
701#551—5916no—
702#551—5932no—
703#546—5932no—
704#546—5932no—
705#546—5932no—
706D42—5916no—
707D42—5932no—
708#538—5932no—
709#538—5932no—
710#538—5932no—
711#535—5932no—
712#535C2×D59116yescomplemented
713#534—5916no—
714#534—5932no—
715C2×#127—592no—
716C2×#127C2×D5911yescharacteristic, complemented
717C2×#127C2×D5911yescharacteristic, complemented
718C2×#126—592no—
719C2×#126—592no—
720C2×#126—592no—
721C2×#126—592no—
722C2×#124—592no—
723C2×#124—592no—
724C2×#124—592no—
725C2×#124—592no—
726C2×#124—592no—
727C2×#124C2×D5911yescharacteristic, complemented
728C2×#124C2×D5911yescharacteristic, complemented
729C2×#123—591no—
730C2×#123—591no—
731C2×#123—592no—
732C2×#123—592no—
733C2×#123—592no—
734C2×#123—592no—
735C2×#123—592no—
736C2×#123—592no—
737C2×#123—592no—
738C2×#123—592no—
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×#121—592no—
755C2×#121C2×D5912yescomplemented
756C2×#121C2×D5912yescomplemented
757C2×#120—592no—
758C2×#120—592no—
759C2×#120—592no—
760C2×#120—592no—
761C2×#120—591no—
762C2×#120—592no—
763C2×#120—591no—
764C2×#120—591no—
765C2×#120—592no—
766C2×#120—591no—
767C2×#120—591no—
768C2×#120—591no—
769C2×#120—5916no—
770C2×#120—592no—
771C2×#120—592no—
772C2×#120—5932no—
773C2×#120—592no—
774C2×#120—592no—
775C2×#120—592no—
776C2×#120—592no—
777C2×#120C2×D5912yescomplemented
778C2×#120C2×D5912yescomplemented
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×#117C2×D5911yescharacteristic, complemented
787C22×C22⋊C4—591no—
788C22×C22⋊C4—591no—
789C22×C22⋊C4—592no—
790C22×C22⋊C4—592no—
791C22×C22⋊C4—592no—
792C22×C22⋊C4—592no—
793C22×C22⋊C4—592no—
794C59C2×#353211yescharacteristic, complemented, Sylow
795C25—591no—
796C25—592no—
797C25—592no—
798C25—592no—
799C25—591no—
800C25—598no—
801C25—591no—
802C25—2364no—
803C25—2368no—
804C25C22×D5911yescharacteristic
805C25C22×D5911yescharacteristic
806C2×#41—44no—
807C2×#41—5916no—
808C2×#41—2368no—
809C2×#41C22×D5918yescomplemented
810C22×Q8—592no—
811C22×Q8C22×D5911yescharacteristic, complemented
812C22×D4—44no—
813C22×D4—592no—
814C22×D4—592no—
815C22×D4—592no—
816C22×D4—592no—
817C22×D4—592no—
818C22×D4—592no—
819C22×D4—592no—
820C22×D4—592no—
821C22×D4—592no—
822C22×D4—592no—
823C22×D4—5916no—
824C22×D4—592no—
825C22×D4—592no—
826C22×D4—598no—
827C22×D4—5916no—
828C22×D4—5916no—
829C22×D4—5916no—
830C22×D4—5916no—
831C22×D4—592no—
832C22×D4—592no—
833C22×D4—592no—
834C22×D4—2368no—
835C22×D4—2368no—
836C22×D4—2368no—
837C22×D4—2368no—
838C22×D4—2364no—
839C22×D4—2368no—
840C22×D4C22×D5912yes—
841C22×D4C22×D5911yescharacteristic
842C22×D4C22×D5911yescharacteristic
843C22×D4C22×D5911yescharacteristic
844C22×D4C22×D5911yescharacteristic
845C22×D4C22×D5912yes—
846C22×D4C22×D5912yes—
847C22×D4C22×D5918yescomplemented
848C22×D4C22×D5911yescharacteristic, complemented
849C22×D4C22×D5912yescomplemented
850C22×D4C22×D5912yescomplemented
851C23×C4—592no—
852C23×C4—592no—
853C23×C4—592no—
854C23×C4—591no—
855C23×C4—592no—
856C23×C4—592no—
857C23×C4—592no—
858C23×C4—592no—
859C23×C4C22×D5911yescharacteristic
860C23×C4C22×D5912yescomplemented
861#127—5916no—
862#127C22×D5918yescomplemented
863#127C22×D5918yescomplemented
864#126—5916no—
865#126—5916no—
866#126—5916no—
867#126—5916no—
868#124—5916no—
869#124—5916no—
870#124—5916no—
871#124—5916no—
872#124—5916no—
873#124C22×D5918yescomplemented
874#124C22×D5918yescomplemented
875#123—598no—
876#123—598no—
877#123—5916no—
878#123—5916no—
879#123—5916no—
880#123—5916no—
881#123—5916no—
882#123—5916no—
883#123—5916no—
884#123—5916no—
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#121—5916no—
901#121C22×D59116yescomplemented
902#121C22×D59116yescomplemented
903#120—5916no—
904#120—5916no—
905#120—5916no—
906#120—5916no—
907#120—598no—
908#120—5916no—
909#120—598no—
910#120—598no—
911#120—5916no—
912#120—598no—
913#120—598no—
914#120—598no—
915#120—5916no—
916#120—5916no—
917#120—5916no—
918#120—5916no—
919#120—5916no—
920#120—5916no—
921#120C22×D59116yescomplemented
922#120C22×D59116yescomplemented
923C4×D4—5916no—
924C4×D4—5916no—
925C4×D4—5916no—
926C4×D4—5916no—
927C4×D4—5916no—
928C4×D4—5916no—
929#117—5916no—
930#117C22×D5918yescomplemented
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⋊C4—592no—
938C2×C4⋊C4—592no—
939C2×C4⋊C4C22×D5912yescomplemented
940C2×C22⋊C4—592no—
941C2×C22⋊C4—591no—
942C2×C22⋊C4—592no—
943C2×C22⋊C4—592no—
944C2×C22⋊C4—592no—
945C2×C22⋊C4—591no—
946C2×C22⋊C4—598no—
947C2×C22⋊C4—591no—
948C2×C22⋊C4—591no—
949C2×C22⋊C4—598no—
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—592no—
964C2×C22⋊C4—592no—
965C2×C22⋊C4—592no—
966C2×C22⋊C4—592no—
967C2×C22⋊C4—5916no—
968C2×C22⋊C4—5916no—
969C2×C22⋊C4—5916no—
970C2×C22⋊C4—5916no—
971C2×C22⋊C4C22×D5912yes—
972C2×C22⋊C4C22×D5912yes—
973C2×C22⋊C4C22×D5912yes—
974C2×C22⋊C4C22×D5912yescomplemented
975C2×C22⋊C4C22×D5912yescomplemented
976C2×C42—592no—
977C2×C42—592no—
978C2×C42C22×D5911yescharacteristic, complemented
979C2×C42C22×D5911yescharacteristic, complemented
980C24—24no—
981C24—24no—
982C24—44no—
983C24—44no—
984C24—592no—
985C24—592no—
986C24—592no—
987C24—594no—
988C24—598no—
989C24—598no—
990C24—598no—
991C24—594no—
992C24—594no—
993C24—1188no—
994C24—1188no—
995C24—1188no—
996C24—1188no—
997C24—1188no—
998C24—2364no—
999C24—2364no—
1000C24—2364no—
1001C24—2362no—
1002C24—2364no—
1003C24—2364no—
1004C24—2364no—
1005C24—2362no—
1006C24—2364no—
1007C24—2362no—
1008C24—23616no—
1009C24—23632no—
1010C24—23664no—
1011C24C23×D5911yescharacteristic
1012C24C23×D5911yescharacteristic
1013C24C23×D5911yescharacteristic
1014C24C23×D5912yes—
1015C24C23×D5911yescharacteristic
1016C24C23×D5911yescharacteristic
1017C24C23×D5914yes—
1018C24C23×D5914yes—
1019#41—416no—
1020#41—23632no—
1021C2×Q8—42no—
1022C2×Q8—598no—
1023C2×Q8—2364no—
1024C2×Q8C23×D5914yescomplemented
1025C2×D4—28no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—42no—
1035C2×D4—44no—
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—598no—
1045C2×D4—598no—
1046C2×D4—598no—
1047C2×D4—598no—
1048C2×D4—598no—
1049C2×D4—598no—
1050C2×D4—598no—
1051C2×D4—1188no—
1052C2×D4—1188no—
1053C2×D4—1188no—
1054C2×D4—1188no—
1055C2×D4—1188no—
1056C2×D4—2364no—
1057C2×D4—2364no—
1058C2×D4—23632no—
1059C2×D4—2364no—
1060C2×D4—2364no—
1061C2×D4—2364no—
1062C2×D4—2364no—
1063C2×D4—2364no—
1064C2×D4—2364no—
1065C2×D4—2364no—
1066C2×D4—2364no—
1067C2×D4—23632no—
1068C2×D4—23632no—
1069C2×D4—23632no—
1070C2×D4—23616no—
1071C2×D4—23632no—
1072C2×D4C23×D5918yes—
1073C2×D4C23×D5914yes—
1074C2×D4C23×D5914yes—
1075C2×D4C23×D5914yes—
1076C2×D4C23×D5914yes—
1077C2×D4C23×D5918yes—
1078C2×D4C23×D5918yes—
1079C2×D4C23×D5914yescomplemented
1080C2×D4C23×D5918yescomplemented
1081C2×D4C23×D5918yescomplemented
1082C22×C4—24no—
1083C22×C4—44no—
1084C22×C4—592no—
1085C22×C4—592no—
1086C22×C4—592no—
1087C22×C4—592no—
1088C22×C4—592no—
1089C22×C4—598no—
1090C22×C4—598no—
1091C22×C4—598no—
1092C22×C4—594no—
1093C22×C4—598no—
1094C22×C4—598no—
1095C22×C4—598no—
1096C22×C4—598no—
1097C22×C4—1188no—
1098C22×C4—2364no—
1099C22×C4—2364no—
1100C22×C4—2364no—
1101C22×C4—2364no—
1102C22×C4—2362no—
1103C22×C4—2364no—
1104C22×C4—2364no—
1105C22×C4C23×D5914yes—
1106C22×C4C23×D5912yes—
1107C22×C4C23×D5912yes—
1108C22×C4C23×D5911yescharacteristic
1109C22×C4C23×D5912yes—
1110C22×C4C23×D5911yescharacteristic
1111C22×C4C23×D5918yescomplemented
1112C4⋊C4—598no—
1113C4⋊C4—598no—
1114C4⋊C4—598no—
1115C4⋊C4—598no—
1116C4⋊C4—598no—
1117C4⋊C4—598no—
1118C4⋊C4—598no—
1119C4⋊C4—598no—
1120C4⋊C4C23×D5918yescomplemented
1121C22⋊C4—598no—
1122C22⋊C4—594no—
1123C22⋊C4—598no—
1124C22⋊C4—598no—
1125C22⋊C4—598no—
1126C22⋊C4—594no—
1127C22⋊C4—594no—
1128C22⋊C4—594no—
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⋊C4—598no—
1144C22⋊C4—598no—
1145C22⋊C4C23×D5918yes—
1146C22⋊C4C23×D5918yes—
1147C22⋊C4C23×D5918yes—
1148C22⋊C4C23×D5918yescomplemented
1149C22⋊C4C23×D5918yescomplemented
1150C42—598no—
1151C42—598no—
1152C42C23×D5914yescomplemented
1153C42C23×D5914yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—24no—
1158C23—24no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—22no—
1163C23—22no—
1164C23—28no—
1165C23—22no—
1166C23—22no—
1167C23—28no—
1168C23—48no—
1169C23—48no—
1170C23—416no—
1171C23—88no—
1172C23—598no—
1173C23—594no—
1174C23—594no—
1175C23—594no—
1176C23—11816no—
1177C23—11816no—
1178C23—11816no—
1179C23—11816no—
1180C23—1184no—
1181C23—1184no—
1182C23—1184no—
1183C23—1184no—
1184C23—1184no—
1185C23—1184no—
1186C23—1184no—
1187C23—11816no—
1188C23—1184no—
1189C23—47216no—
1190C23—4728no—
1191C23—2368no—
1192C23—2368no—
1193C23—2368no—
1194C23—2364no—
1195C23—2368no—
1196C23—2368no—
1197C23—2368no—
1198C23—2364no—
1199C23—2368no—
1200C23—2364no—
1201C23—23632no—
1202C23—23616no—
1203C23—23632no—
1204C23—236128no—
1205C23—23616no—
1206C23#1427377214yes—
1207C23C24×D5912yes—
1208C23C24×D5912yes—
1209C23C24×D5912yes—
1210C23C24×D5914yes—
1211C23C24×D5912yes—
1212C23C24×D5912yes—
1213C23C24×D5911yescharacteristic
1214Q8—44no—
1215Q8—2368no—
1216D4—216no—
1217D4—44no—
1218D4—44no—
1219D4—44no—
1220D4—44no—
1221D4—48no—
1222D4—48no—
1223D4—48no—
1224D4—44no—
1225D4—48no—
1226D4—11816no—
1227D4—11816no—
1228D4—11816no—
1229D4—11816no—
1230D4—11816no—
1231D4—2368no—
1232D4—2368no—
1233D4—2368no—
1234D4—2368no—
1235D4—2368no—
1236D4—2368no—
1237D4—2368no—
1238D4—2368no—
1239D4—2368no—
1240D4—2368no—
1241C2×C4—24no—
1242C2×C4—24no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—28no—
1246C2×C4—24no—
1247C2×C4—48no—
1248C2×C4—594no—
1249C2×C4—594no—
1250C2×C4—594no—
1251C2×C4—594no—
1252C2×C4—594no—
1253C2×C4—11816no—
1254C2×C4—1184no—
1255C2×C4—1184no—
1256C2×C4—1184no—
1257C2×C4—1184no—
1258C2×C4—1184no—
1259C2×C4—2368no—
1260C2×C4—2368no—
1261C2×C4—2368no—
1262C2×C4—2368no—
1263C2×C4—2364no—
1264C2×C4—2368no—
1265C2×C4—2368no—
1266C2×C4C24×D5914yes—
1267C2×C4C24×D5914yes—
1268C2×C4C24×D5912yes—
1269C2×C4C24×D5914yes—
1270C2×C4C24×D5912yes—
1271C22—28no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—24no—
1276C22—24no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—22no—
1281C22—22no—
1282C22—22no—
1283C22—22no—
1284C22—416no—
1285C22—44no—
1286C22—44no—
1287C22—44no—
1288C22—44no—
1289C22—48no—
1290C22—88no—
1291C22—598no—
1292C22—11816no—
1293C22—1184no—
1294C22—1184no—
1295C22—1184no—
1296C22—1184no—
1297C22—1184no—
1298C22—1184no—
1299C22—1184no—
1300C22—1184no—
1301C22—47216no—
1302C22—4728no—
1303C22—23632no—
1304C22—23616no—
1305C22—23632no—
1306C22—23616no—
1307C22—2368no—
1308C22—2368no—
1309C22H(5,𝔽2)×D5914yes—
1310C22C2×#1427377214yes—
1311C22C2×#1427377212yes—
1312C22C25×D5911yescharacteristic
1313C4—24no—
1314C4—24no—
1315C4—22no—
1316C4—22no—
1317C4—24no—
1318C4—1184no—
1319C4—1184no—
1320C4—1184no—
1321C4—1184no—
1322C4—1184no—
1323C2—24no—
1324C2—42no—
1325C2—42no—
1326C2—42no—
1327C2—42no—
1328C2—44no—
1329C2—1188no—
1330C2—2364no—
1331C2—2364no—
1332C2#2143825014yesdirect product factor
1333C2C2×H(5,𝔽2)×D5912yes—
1334C2C22×#1427377211yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#535C2
socleC23×C59C25
hypercenterC2×#535D59
hypocenterC59C2×#3532
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #21438250C2direct (N × H)
2. C2×#16838144C2semidirect
3. C2×#16838140C2semidirect
4. C2×#16838139C2semidirect
5. C2×#16838082C2semidirect
6. C2×#16838076C2semidirect
7. C2×#16838041C2semidirect
8. C2×#16838040C2semidirect
9. C2×#16838039C2semidirect
10. C2×#16838037C2semidirect
11. C2×#16838034C2semidirect
12. C2×#16837987C2semidirect
13. C2×#16837986C2semidirect
14. C2×#16837984C2semidirect
15. C2×#16837965C2semidirect
16. C2×#16837961C2semidirect
17. C2×#16837960C2semidirect
18. C22×#14273695C2semidirect
19. C2×#120×D59C2semidirect
20. C2×C59×#535C2semidirect
21. C25×D59C22semidirect
22. C22×#11745687C22semidirect
23. C23×C22⋊D59C22semidirect
24. C23×C22⋊D59C22semidirect
25. C22×D4×D59C22semidirect
26. C22×D4×D59C22semidirect
27. C22×D4×D59C22semidirect
28. C22×D4×D59C22semidirect
29. #16838144C22semidirect
30. #16838140C22semidirect
31. #16838139C22semidirect
32. #16838082C22semidirect
33. #16838076C22semidirect
34. #16838041C22semidirect
35. #16838040C22semidirect
36. #16838039C22semidirect
37. #16838037C22semidirect
38. #16838034C22semidirect
39. #16837987C22semidirect
40. #16837986C22semidirect
41. #16837984C22semidirect
42. #16837965C22semidirect
43. #16837961C22semidirect
44. #16837960C22semidirect
45. C2×#14273723C22semidirect
46. C2×#14273722C22semidirect
47. C2×#14273721C22semidirect
48. C2×#14273720C22semidirect
49. C2×#14273720C22semidirect
50. C2×#14273716C22semidirect
51. C2×#14273715C22semidirect
52. C2×#14273714C22semidirect
53. C2×#14273713C22semidirect
54. C2×#14273713C22semidirect
55. C2×#14273712C22semidirect
56. C2×#14273712C22semidirect
57. C2×#14273711C22semidirect
58. C2×#14273710C22semidirect
59. C2×#14273710C22semidirect
60. C2×#14273709C22semidirect
61. C2×#14273709C22semidirect
62. C2×#14273708C22semidirect
63. C2×#14273708C22semidirect
64. C2×#14273708C22semidirect
65. C2×#14273705C22semidirect
66. C2×#14273704C22semidirect
67. C2×#14273703C22semidirect
68. C2×#14273701C22semidirect
69. C2×#14273700C22semidirect
70. C2×#14273700C22semidirect
71. C2×#14273699C22semidirect
72. C2×#14273699C22semidirect
73. C2×#14273699C22semidirect
74. C2×#14273699C22semidirect
75. C2×#14273699C22semidirect
76. C2×#14273699C22semidirect
77. C2×#14273699C22semidirect
78. C2×#14273699C22semidirect
79. C2×#14273698C22semidirect
80. C2×#14273698C22semidirect
82. C2×#14273697C22semidirect
83. C2×#14273697C22semidirect
84. C2×#14273697C22semidirect
85. C2×#14273696C22semidirect
87. C2×#14273695C22semidirect
88. C2×#14273695C22semidirect
89. C2×#14273695C22semidirect
90. C2×#14273695C22semidirect
91. C2×#14273695C22semidirect
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. C2×C4×D236C22semidirect
102. C2×D4×Dic59C22semidirect
103. C2×C4×C22⋊D59C22semidirect
104. C2×(C22⋊D59)⋊C4C22semidirect
105. C2×(C22⋊D59)⋊C4C22semidirect
106. C2×(C22⋊D59)⋊C4C22semidirect
107. C2×#14273684C22semidirect
108. C22×C22⋊Dic59C22semidirect
109. C22×C22⋊Dic59C22semidirect
110. C22×(C2×D59)⋊C4C22semidirect
111. C22×(C2×D59)⋊C4C22semidirect
112. C2×C22⋊C4×D59C22semidirect
113. C2×C22⋊C4×D59C22semidirect
114. C2×C22⋊C4×D59C22semidirect
115. C22×#41×C59C22semidirect
116. C23×D4×C59C22semidirect
117. C59×#535C22semidirect
118. C2×#127×C59C22semidirect
119. C2×#127×C59C22semidirect
120. C2×#124×C59C22semidirect
121. C2×#124×C59C22semidirect
122. C2×#121×C59C22semidirect
123. C2×#121×C59C22semidirect
124. C2×#120×C59C22semidirect
125. C2×#120×C59C22semidirect
126. C2×#117×C59C22semidirect
134. C24×D59C23semidirect
135. C24×D59C23semidirect
137. C2×#11745687C23semidirect
138. C22×Dic118C23semidirect
154. C22×C22⋊D59C23semidirect
155. C22×C22⋊D59C23semidirect
156. C22×C22⋊D59C23semidirect
157. C22×C22⋊D59C23semidirect
162. C2×D4×D59C23semidirect
163. C2×D4×D59C23semidirect
164. C2×D4×D59C23semidirect
165. C2×D4×D59C23semidirect
167. C23×Dic59C23semidirect
168. C23×Dic59C23semidirect
169. C23×Dic59C23semidirect
173. C22×C4×D59C23semidirect
174. #14273723C23semidirect
175. #14273722C23semidirect
176. #14273721C23semidirect
177. #14273720C23semidirect
178. #14273720C23semidirect
179. #14273716C23semidirect
180. #14273715C23semidirect
181. #14273714C23semidirect
182. #14273713C23semidirect
183. #14273713C23semidirect
184. #14273712C23semidirect
185. #14273712C23semidirect
186. #14273711C23semidirect
187. #14273710C23semidirect
188. #14273710C23semidirect
189. #14273709C23semidirect
190. #14273709C23semidirect
191. #14273708C23semidirect
192. #14273708C23semidirect
193. #14273708C23semidirect
194. #14273705C23semidirect
195. #14273704C23semidirect
196. #14273703C23semidirect
197. #14273701C23semidirect
198. #14273700C23semidirect
199. #14273700C23semidirect
200. #14273699C23semidirect
201. #14273699C23semidirect
202. #14273699C23semidirect
203. #14273699C23semidirect
204. #14273699C23semidirect
205. #14273699C23semidirect
206. #14273699C23semidirect
207. #14273699C23semidirect
208. #14273698C23semidirect
209. #14273698C23semidirect
211. #14273697C23semidirect
212. #14273697C23semidirect
213. #14273697C23semidirect
214. #14273696C23semidirect
216. #14273695C23semidirect
217. #14273695C23semidirect
218. #14273695C23semidirect
219. #14273695C23semidirect
220. #14273695C23semidirect
221. #14273695C23semidirect
222. #14273695C23semidirect
223. #14273695C23semidirect
224. #14273695C23semidirect
225. #14273695C23semidirect
226. #14273695C23semidirect
227. #14273695C23semidirect
228. C4×D236C23semidirect
229. D4×Dic59C23semidirect
230. C4×C22⋊D59C23semidirect
231. (C22⋊D59)⋊C4C23semidirect
232. (C22⋊D59)⋊C4C23semidirect
233. (C22⋊D59)⋊C4C23semidirect
234. #14273684C23semidirect
235. C2×C4⋊Dic59C23semidirect
236. C2×C4⋊Dic59C23semidirect
237. C2×Dic59⋊C4C23semidirect
238. C2×Dic59⋊C4C23semidirect
239. C2×Dic59⋊C4C23semidirect
240. C2×Dic59⋊C4C23semidirect
241. C2×Dic59⋊C4C23semidirect
242. C2×Dic59⋊C4C23semidirect
249. C2×C22⋊Dic59C23semidirect
250. C2×C22⋊Dic59C23semidirect
251. C2×C22⋊Dic59C23semidirect
252. C2×C22⋊Dic59C23semidirect
253. C2×C22⋊Dic59C23semidirect
254. C2×C22⋊Dic59C23semidirect
265. C2×(C2×D59)⋊C4C23semidirect
266. C2×(C2×D59)⋊C4C23semidirect
267. C2×(C2×D59)⋊C4C23semidirect
268. C2×(C2×D59)⋊C4C23semidirect
269. C2×(C2×D59)⋊C4C23semidirect
270. C2×(C2×D59)⋊C4C23semidirect
271. C22⋊C4×D59C23semidirect
272. C22⋊C4×D59C23semidirect
273. C22⋊C4×D59C23semidirect
274. C2×C4×Dic59C23semidirect
275. C2×C4×Dic59C23semidirect
279. C2×#41×C59C23semidirect
280. C22×Q8×C59C23semidirect
289. C22×D4×C59C23semidirect
290. C22×D4×C59C23semidirect
291. C22×D4×C59C23semidirect
292. C22×D4×C59C23semidirect
294. C23×C4×C59C23semidirect
295. #127×C59C23semidirect
296. #127×C59C23semidirect
297. #124×C59C23semidirect
298. #124×C59C23semidirect
299. #121×C59C23semidirect
300. #121×C59C23semidirect
301. #120×C59C23semidirect
302. #120×C59C23semidirect
303. #117×C59C23semidirect
304. C2×C4⋊C4×C59C23semidirect
308. C2×C22⋊C4×C59C23semidirect
309. C2×C22⋊C4×C59C23semidirect
310. C2×C42×C59C23semidirect
311. C2×C42×C59C23semidirect
350. C23×D59C24semidirect
353. C2×Q8×C59C24semidirect
372. C2×D4×C59C24semidirect
373. C2×D4×C59C24semidirect
374. C2×D4×C59C24semidirect
383. C22×C4×C59C24semidirect
408. C2×C22⋊D59C24semidirect
409. C2×C22⋊D59C24semidirect
420. C22×Dic59C24semidirect
421. C22×Dic59C24semidirect
422. C22×Dic59C24semidirect
441. C2×C4×D59C24semidirect
443. C2×Dic118C24semidirect
444. C4⋊C4×C59C24semidirect
448. C22⋊C4×C59C24semidirect
449. C22⋊C4×C59C24semidirect
450. C42×C59C24semidirect
451. C42×C59C24semidirect
458. C22⋊Dic59C24semidirect
459. C22⋊Dic59C24semidirect
460. C22⋊Dic59C24semidirect
461. C22⋊Dic59C24semidirect
472. (C2×D59)⋊C4C24semidirect
473. (C2×D59)⋊C4C24semidirect
474. (C2×D59)⋊C4C24semidirect
475. (C2×D59)⋊C4C24semidirect
476. C4⋊Dic59C24semidirect
477. C4⋊Dic59C24semidirect
478. Dic59⋊C4C24semidirect
479. Dic59⋊C4C24semidirect
480. Dic59⋊C4C24semidirect
481. Dic59⋊C4C24semidirect
482. Dic59⋊C4C24semidirect
483. Dic59⋊C4C24semidirect
484. C4×Dic59C24semidirect
485. C4×Dic59C24semidirect
671. C2×#535D59semidirect
682. C2×C59#3532semidirect
690. C22×#41C2×D59semidirect
697. C23×D4C2×D59semidirect
712. #535C2×D59semidirect
716. C2×#127C2×D59semidirect
717. C2×#127C2×D59semidirect
727. C2×#124C2×D59semidirect
728. C2×#124C2×D59semidirect
755. C2×#121C2×D59semidirect
756. C2×#121C2×D59semidirect
777. C2×#120C2×D59semidirect
778. C2×#120C2×D59semidirect
786. C2×#117C2×D59semidirect
794. C59C2×#3532semidirect
809. C2×#41C22×D59semidirect
811. C22×Q8C22×D59semidirect
847. C22×D4C22×D59semidirect
848. C22×D4C22×D59semidirect
849. C22×D4C22×D59semidirect
850. C22×D4C22×D59semidirect
860. C23×C4C22×D59semidirect
862. #127C22×D59semidirect
863. #127C22×D59semidirect
873. #124C22×D59semidirect
874. #124C22×D59semidirect
901. #121C22×D59semidirect
902. #121C22×D59semidirect
921. #120C22×D59semidirect
922. #120C22×D59semidirect
930. #117C22×D59semidirect
939. C2×C4⋊C4C22×D59semidirect
974. C2×C22⋊C4C22×D59semidirect
975. C2×C22⋊C4C22×D59semidirect
978. C2×C42C22×D59semidirect
979. C2×C42C22×D59semidirect
1024. C2×Q8C23×D59semidirect
1079. C2×D4C23×D59semidirect
1080. C2×D4C23×D59semidirect
1081. C2×D4C23×D59semidirect
1111. C22×C4C23×D59semidirect
1120. C4⋊C4C23×D59semidirect
1148. C22⋊C4C23×D59semidirect
1149. C22⋊C4C23×D59semidirect
1152. C42C23×D59semidirect
1153. C42C23×D59semidirect
1332. C2#21438250direct (N × H)

Maximal subgroups

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

subgroupindex
#214382502
C2×#168381442
C2×#168381402
C2×#168381392
C2×#168380822
C2×#168380762
C2×#168380412
C2×#168380402
C2×#168380392
C2×#168380372
C2×#168380342
C2×#168379872
C2×#168379862
C2×#168379842
C2×#168379652
C2×#168379612
C2×#168379602
C22×#142736952
C2×#120×D592
C2×C59×#5352
C2×#353259