Finite Group Databasebeta

← C2×#21438246 #29495806

Subgroups — C2×#21438246 #29495806

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#21438246C2132yesmaximal, direct product factor
2C2×#16838145C211yesmaximal, characteristic, complemented
3C2×#16838140C212yesmaximal, complemented
4C2×#16838139C211yesmaximal, characteristic, complemented
5C2×#16838083C211yesmaximal, characteristic, complemented
6C2×#16838081C212yesmaximal, complemented
7C2×#16838046C212yesmaximal, complemented
8C2×#16838041C212yesmaximal, complemented
9C2×#16838039C212yesmaximal, complemented
10C2×D4×C22⋊D59C212yesmaximal, complemented
11C2×#16837989C212yesmaximal, complemented
12C2×#16837985C212yesmaximal, complemented
13C2×#16837984C212yesmaximal, complemented
14C2×#16837967C212yesmaximal, complemented
15C2×#16837965C211yesmaximal, characteristic, complemented
16C2×#16837962C211yesmaximal, characteristic, complemented
17C2×#16837961C212yesmaximal, complemented
18C22×#14273695C212yesmaximal, complemented
19C2×#120×D59C211yesmaximal, characteristic, complemented
20C2×D42×C59C211yesmaximal, characteristic, complemented
21C25×D59C2211yescharacteristic, complemented
22C22×#11745687C2212yescomplemented
23C22×#11745687C2211yescharacteristic, complemented
24C23×C22⋊D59C2212yescomplemented
25C23×C22⋊D59C2212yescomplemented
26C23×C22⋊D59C2211yescharacteristic, complemented
27C22×D4×D59C2212yescomplemented
28C22×D4×D59C2211yescharacteristic, complemented
29#16838145C22116yescomplemented
30#16838140C22132yescomplemented
31#16838139C22116yescomplemented
32#16838083C22116yescomplemented
33#16838081C22132yescomplemented
34#16838046C22132yescomplemented
35#16838041C22132yescomplemented
36#16838039C22132yescomplemented
37D4×C22⋊D59C22132yescomplemented
38#16837989C22132yescomplemented
39#16837985C22132yescomplemented
40#16837984C22132yescomplemented
41#16837967C22132yescomplemented
42#16837965C22116yescomplemented
43#16837962C22116yescomplemented
44#16837961C22132yescomplemented
45C2×#14273723C2212yescomplemented
46C2×#14273723C2211yescharacteristic, complemented
47C2×#14273722C2212yescomplemented
48C2×#14273722C2212yescomplemented
49C2×#14273721C2212yescomplemented
50C2×#14273720C2212yescomplemented
51C2×#14273715C2211yescharacteristic, complemented
52C2×#14273714C2212yescomplemented
53C2×#14273714C2211yescharacteristic, complemented
54C2×#14273713C2212yescomplemented
55C2×#14273713C2212yescomplemented
56C2×#14273713C2212yescomplemented
57C2×#14273713C2212yescomplemented
58C2×#14273712C2212yescomplemented
59C2×#14273711C2212yescomplemented
60C2×#14273711C2211yescharacteristic, complemented
61C2×#14273710C2212yescomplemented
62C2×#14273710C2212yescomplemented
63C2×#14273709C2212yescomplemented
64C2×#14273708C2212yescomplemented
65C2×#14273708C2211yescharacteristic, complemented
66C2×#14273708C2212yescomplemented
67C2×#14273708C2212yescomplemented
68C2×#14273706C2212yescomplemented
69C2×#14273705C2212yescomplemented
70C2×#14273704C2212yescomplemented
71C2×#14273701C2212yescomplemented
72C2×#14273700C2212yescomplemented
73C2×#14273700C2212yescomplemented
74C2×#14273699C2212yescomplemented
75C2×#14273699C2212yescomplemented
76C2×#14273699C2212yescomplemented
77C2×#14273699C2212yescomplemented
78C2×#14273699C2212yescomplemented
79C2×#14273699C2212yescomplemented
80C2×#14273699C2212yescomplemented
81C2×#14273699C2212yescomplemented
82C2×#14273698C2212yescomplemented
83C2×#14273698C2212yescomplemented
84C2×#14273697C2211yescharacteristic, complemented
85C2×#14273697C2212yescomplemented
86C2×#14273696C2211yescharacteristic, complemented
87C2×#14273696C2212yescomplemented
88C2×#14273696C2212yescomplemented
89C2×#14273696C2211yescharacteristic, complemented
90C2×#14273695C2212yes—
91C2×#14273695C2212yescomplemented
92C2×#14273695C2211yescharacteristic, complemented
93C2×#14273695C2212yescomplemented
94C2×#14273695C2212yescomplemented
95C2×#14273695C2212yescomplemented
96C2×#14273695C2212yescomplemented
97C2×#14273695C2212yescomplemented
98C2×#14273695C2212yescomplemented
99C2×#14273695C2212yescomplemented
100C2×#14273695C2212yescomplemented
101C2×#14273695C22132yescomplemented
102#120×D59C22116yescomplemented
103C2×D4×Dic59C2212yescomplemented
104C2×D4×Dic59C2212yescomplemented
105C2×C4×C22⋊D59C2212yescomplemented
106C2×C4×C22⋊D59C2212yescomplemented
107C2×(C22⋊D59)⋊C4C2212yescomplemented
108C2×#14273684C2211yescharacteristic, complemented
109C2×#14273683C2212yescomplemented
110C22×C22⋊Dic59C2212yescomplemented
111C22×C22⋊Dic59C2212yescomplemented
112C22×(C2×D59)⋊C4C2212yescomplemented
113C22×(C2×D59)⋊C4C2212yescomplemented
114C2×C22⋊C4×D59C2212yescomplemented
115C2×C22⋊C4×D59C2211yescharacteristic, complemented
116C2×C22⋊C4×D59C2211yescharacteristic, complemented
117C23×D4×C59C2212yescomplemented
118C23×D4×C59C2212yescomplemented
119D42×C59C22116yescomplemented
120C2×#127×C59C2211yescharacteristic, complemented
121C2×#121×C59C2212yescomplemented
122C2×#121×C59C2212yescomplemented
123C2×#120×C59C2211yescharacteristic
124C2×#120×C59C2212yescomplemented
125C2×#120×C59C2211yescharacteristic, complemented
126C2×C4×D4×C59C2212yescomplemented
127C24×D59—44no—
128C24×D59—48no—
129C24×D59C2312yes—
130C24×D59C2312yes—
131C24×D59C2311yescharacteristic
132C24×D59C2311yescharacteristic
133C24×D59C2311yescharacteristic
134C24×D59C2318yescomplemented
135C2×#11745687—44no—
136C2×#11745687—48no—
137C2×#11745687C2318yescomplemented
138C2×#11745687C23116yescomplemented
139C22×Dic118C2311yescharacteristic, complemented
140C22×Dic118C2312yescomplemented
141C22×D236C2311yescharacteristic
142C22×D236C2312yes—
143C22×C22⋊D59—48no—
144C22×C22⋊D59—48no—
145C22×C22⋊D59—44no—
146C22×C22⋊D59C2312yes—
147C22×C22⋊D59C2312yes—
148C22×C22⋊D59C2312yes—
149C22×C22⋊D59C2311yescharacteristic
150C22×C22⋊D59C2311yescharacteristic
151C22×C22⋊D59C2312yes—
152C22×C22⋊D59C2312yes—
153C22×C22⋊D59C2312yes—
154C22×C22⋊D59C2312yes—
155C22×C22⋊D59C2312yes—
156C22×C22⋊D59C2312yes—
157C22×C22⋊D59C2312yes—
158C22×C22⋊D59C23116yescomplemented
159C22×C22⋊D59C23116yescomplemented
160C22×C22⋊D59C2312yescomplemented
161C22×C22⋊D59C2312yescomplemented
162C22×C22⋊D59C2318yescomplemented
163C2×D4×D59—44no—
164C2×D4×D59—48no—
165C2×D4×D59C2318yescomplemented
166C2×D4×D59C23116yescomplemented
167C23×Dic59C2312yes—
168C23×Dic59C2312yes—
169C23×Dic59C2312yescomplemented
170C23×Dic59C2312yescomplemented
171C23×Dic59C2311yescharacteristic, complemented
172C22×C4×D59C2311yescharacteristic
173C22×C4×D59C2312yes—
174C22×C4×D59C2312yescomplemented
175#14273723C2318yescomplemented
176#14273723C23116yescomplemented
177#14273722C23116yescomplemented
178#14273722C23116yescomplemented
179#14273721C23116yescomplemented
180#14273720C23116yescomplemented
181#14273715C2318yescomplemented
182#14273714C2318yescomplemented
183#14273714C23116yescomplemented
184#14273713C23116yescomplemented
185#14273713C23116yescomplemented
186#14273713C23116yescomplemented
187#14273713C23116yescomplemented
188#14273712C23116yescomplemented
189#14273711C2318yescomplemented
190#14273711C23116yescomplemented
191#14273710C23116yescomplemented
192#14273710C23116yescomplemented
193#14273709C23116yescomplemented
194#14273708C2318yescomplemented
195#14273708C23116yescomplemented
196#14273708C23116yescomplemented
197#14273708C23116yescomplemented
198#14273706C23116yescomplemented
199#14273705C23116yescomplemented
200#14273704C23116yescomplemented
201#14273701C23116yescomplemented
202#14273700C23116yescomplemented
203#14273700C23116yescomplemented
204#14273699C23116yescomplemented
205#14273699C23116yescomplemented
206#14273699C23116yescomplemented
207#14273699C23116yescomplemented
208#14273699C23116yescomplemented
209#14273699C23116yescomplemented
210#14273699C23116yescomplemented
211#14273699C23116yescomplemented
212#14273698C23116yescomplemented
213#14273698C23116yescomplemented
214#14273697C23116yescomplemented
215#14273697C2318yescomplemented
216#14273696C2318yescomplemented
217#14273696C23116yescomplemented
218#14273696C23116yescomplemented
219#14273696C2318yescomplemented
220#14273695C23116yes—
221#14273695C2318yescomplemented
222#14273695C23116yescomplemented
223#14273695C23116yescomplemented
224#14273695C23116yescomplemented
225#14273695C23116yescomplemented
226#14273695C23116yescomplemented
227#14273695C23116yescomplemented
228#14273695C23116yescomplemented
229#14273695C23116yescomplemented
230#14273695C23116yescomplemented
231D4×Dic59C23116yescomplemented
232D4×Dic59C23116yescomplemented
233C4×C22⋊D59C23116yescomplemented
234C4×C22⋊D59C23116yescomplemented
235(C22⋊D59)⋊C4C23116yescomplemented
236#14273684C2318yescomplemented
237#14273683C23116yescomplemented
238C2×C4⋊Dic59C2312yescomplemented
239C2×C4⋊Dic59C2312yescomplemented
240C2×Dic59⋊C4C2312yescomplemented
241C2×Dic59⋊C4C2312yescomplemented
242C2×Dic59⋊C4C2312yescomplemented
243C2×Dic59⋊C4C2312yescomplemented
244C2×Dic59⋊C4C2312yescomplemented
245C2×Dic59⋊C4C2312yescomplemented
246C2×C22⋊Dic59C2312yes—
247C2×C22⋊Dic59C2312yes—
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2312yes—
250C2×C22⋊Dic59C2312yes—
251C2×C22⋊Dic59C2312yes—
252C2×C22⋊Dic59C23116yescomplemented
253C2×C22⋊Dic59C23116yescomplemented
254C2×C22⋊Dic59C2312yescomplemented
255C2×C22⋊Dic59C2312yescomplemented
256C2×C22⋊Dic59C2312yescomplemented
257C2×C22⋊Dic59C2312yescomplemented
258C2×C22⋊Dic59C2311yescharacteristic, complemented
259C2×C22⋊Dic59C2312yescomplemented
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)⋊C4C2312yes—
268C2×(C2×D59)⋊C4C2312yes—
269C2×(C2×D59)⋊C4C2312yes—
270C2×(C2×D59)⋊C4C2312yes—
271C2×(C2×D59)⋊C4C23116yescomplemented
272C2×(C2×D59)⋊C4C23116yescomplemented
273C2×(C2×D59)⋊C4C2312yescomplemented
274C22⋊C4×D59C2318yescomplemented
275C22⋊C4×D59C23116yescomplemented
276C22⋊C4×D59C2318yescomplemented
277C2×C4×Dic59C2312yescomplemented
278C2×C4×Dic59C2311yescharacteristic, complemented
279C2×C4×Dic59C2312yescomplemented
280C25×C59C2311yescharacteristic
281C25×C59C2312yes—
282C25×C59C2311yescharacteristic, complemented
283C22×D4×C59—48no—
284C22×D4×C59—48no—
285C22×D4×C59C2312yes—
286C22×D4×C59C2312yes—
287C22×D4×C59C2312yes—
288C22×D4×C59C2312yes—
289C22×D4×C59C2312yes—
290C22×D4×C59C2311yescharacteristic
291C22×D4×C59C23116yescomplemented
292C22×D4×C59C2312yescomplemented
293C22×D4×C59C2312yescomplemented
294C22×D4×C59C2311yescharacteristic, complemented
295C22×D4×C59C23116yescomplemented
296C23×C4×C59C2312yes—
297C23×C4×C59C2312yescomplemented
298#127×C59C2318yescomplemented
299#121×C59C23116yescomplemented
300#121×C59C23116yescomplemented
301#120×C59C2318yes—
302#120×C59C23116yescomplemented
303#120×C59C2318yescomplemented
304C4×D4×C59C23116yescomplemented
305C2×C4⋊C4×C59C2312yescomplemented
306C2×C22⋊C4×C59C2312yes—
307C2×C22⋊C4×C59C2311yescharacteristic
308C2×C22⋊C4×C59C2312yescomplemented
309C2×C22⋊C4×C59C2312yescomplemented
310C2×C22⋊C4×C59C2311yescharacteristic, complemented
311C2×C42×C59C2311yescharacteristic, complemented
312C24×C59—28no—
313C24×C59—28no—
314C24×C59—42no—
315C24×C59—44no—
316C24×C59—44no—
317C24×C59—44no—
318C24×C59—42no—
319C24×C59C2411yescharacteristic
320C24×C59C2412yes—
321C24×C59C2411yescharacteristic
322C24×C59C2412yes—
323C24×C59C2414yes—
324C24×C59C2412yes—
325C24×C59C2418yes—
326C24×C59C2414yescomplemented
327C23×D59—28no—
328C23×D59—28no—
329C23×D59—24no—
330C23×D59—28no—
331C23×D59—24no—
332C23×D59—416no—
333C23×D59—44no—
334C23×D59—44no—
335C23×D59—44no—
336C23×D59—44no—
337C23×D59—44no—
338C23×D59—42no—
339C23×D59—432no—
340C23×D59—44no—
341C23×D59—464no—
342C23×D59C2412yes—
343C23×D59C2411yescharacteristic
344C23×D59C2411yescharacteristic
345C23×D59C2418yes—
346C23×D59C2411yescharacteristic
347C23×D59C2414yes—
348C23×D59C2414yes—
349C23×D59C2418yes—
350C23×D59C2414yes—
351C2×D4×C59—28no—
352C2×D4×C59—28no—
353C2×D4×C59—28no—
354C2×D4×C59—44no—
355C2×D4×C59—44no—
356C2×D4×C59—44no—
357C2×D4×C59—44no—
358C2×D4×C59—42no—
359C2×D4×C59—42no—
360C2×D4×C59—432no—
361C2×D4×C59—432no—
362C2×D4×C59C2418yes—
363C2×D4×C59C2418yes—
364C2×D4×C59C2418yes—
365C2×D4×C59C2414yes—
366C2×D4×C59C2418yes—
367C2×D4×C59C2418yes—
368C2×D4×C59C2414yescomplemented
369C2×D4×C59C2418yescomplemented
370C2×D4×C59C2418yescomplemented
371C22×C4×C59—44no—
372C22×C4×C59—44no—
373C22×C4×C59C2411yescharacteristic
374C22×C4×C59C2412yes—
375C22×C4×C59C2412yes—
376C22×C4×C59C2412yes—
377C22×C4×C59C2418yes—
378C22×C4×C59C2418yescomplemented
379C2×C22⋊D59—28no—
380C2×C22⋊D59—28no—
381C2×C22⋊D59—28no—
382C2×C22⋊D59—44no—
383C2×C22⋊D59—42no—
384C2×C22⋊D59—42no—
385C2×C22⋊D59—44no—
386C2×C22⋊D59—44no—
387C2×C22⋊D59—44no—
388C2×C22⋊D59—44no—
389C2×C22⋊D59—44no—
390C2×C22⋊D59—44no—
391C2×C22⋊D59—432no—
392C2×C22⋊D59—44no—
393C2×C22⋊D59—44no—
394C2×C22⋊D59—432no—
395C2×C22⋊D59—416no—
396C2×C22⋊D59C2418yes—
397C2×C22⋊D59C2418yes—
398C2×C22⋊D59C2418yes—
399C2×C22⋊D59C2418yes—
400C2×C22⋊D59C2414yes—
401C2×C22⋊D59C2418yes—
402C2×C22⋊D59C2418yes—
403C2×C22⋊D59C2418yes—
404C2×C22⋊D59C2418yes—
405C2×C22⋊D59C2418yes—
406C2×C22⋊D59C2418yes—
407C2×C22⋊D59C2414yes—
408C2×C22⋊D59C2418yescomplemented
409C2×C22⋊D59C2418yescomplemented
410C22×Dic59—28no—
411C22×Dic59—44no—
412C22×Dic59—42no—
413C22×Dic59—44no—
414C22×Dic59—44no—
415C22×Dic59C2412yes—
416C22×Dic59C2412yes—
417C22×Dic59C2412yes—
418C22×Dic59C2412yes—
419C22×Dic59C2412yes—
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2418yes—
422C22×Dic59C2418yes—
423C22×Dic59C2418yescomplemented
424C22×Dic59C2418yescomplemented
425C22×Dic59C2414yescomplemented
426#11745687—416no—
427#11745687—432no—
428D4×D59—416no—
429D4×D59—432no—
430C2×D236—42no—
431C2×D236—44no—
432C2×D236C2414yes—
433C2×D236C2418yes—
434C2×C4×D59—24no—
435C2×C4×D59—44no—
436C2×C4×D59—44no—
437C2×C4×D59C2414yes—
438C2×C4×D59C2418yes—
439C2×C4×D59C2418yescomplemented
440C2×Dic118—44no—
441C2×Dic118—42no—
442C2×Dic118C2414yescomplemented
443C2×Dic118C2418yescomplemented
444C4⋊C4×C59C2418yescomplemented
445C22⋊C4×C59C2418yes—
446C22⋊C4×C59C2414yes—
447C22⋊C4×C59C2418yescomplemented
448C22⋊C4×C59C2414yescomplemented
449C22⋊C4×C59C2418yescomplemented
450C42×C59C2414yescomplemented
451C22⋊Dic59C2418yes—
452C22⋊Dic59C2414yes—
453C22⋊Dic59C2418yes—
454C22⋊Dic59C2418yes—
455C22⋊Dic59C2418yes—
456C22⋊Dic59C2418yes—
457C22⋊Dic59C2414yescomplemented
458C22⋊Dic59C2418yescomplemented
459C22⋊Dic59C2418yescomplemented
460C22⋊Dic59C2418yescomplemented
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)⋊C4C2418yes—
473(C2×D59)⋊C4C2418yes—
474(C2×D59)⋊C4C2418yescomplemented
475C4⋊Dic59C2418yescomplemented
476C4⋊Dic59C2418yescomplemented
477Dic59⋊C4C2418yescomplemented
478Dic59⋊C4C2418yescomplemented
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—24no—
497C23×C59—216no—
498C23×C59—24no—
499C23×C59—216no—
500C23×C59—44no—
501C23×C59—48no—
502C23×C59—44no—
503C23×C59—48no—
504C23×C59—48no—
505C23×C59—416no—
506C23×C59—816no—
507C23×C59—88no—
508C23×C59H(5,𝔽2)18yes—
509C23×C59C2512yes—
510C23×C59C2512yes—
511C23×C59C2514yes—
512C23×C59C2514yes—
513C23×C59C2514yes—
514C23×C59C2511yescharacteristic
515C22×D59—24no—
516C22×D59—24no—
517C22×D59—22no—
518C22×D59—22no—
519C22×D59—24no—
520C22×D59—216no—
521C22×D59—24no—
522C22×D59—216no—
523C22×D59—24no—
524C22×D59—24no—
525C22×D59—28no—
526C22×D59—216no—
527C22×D59—28no—
528C22×D59—48no—
529C22×D59—48no—
530C22×D59—48no—
531C22×D59—48no—
532C22×D59—48no—
533C22×D59—44no—
534C22×D59—48no—
535C22×D59—432no—
536C22×D59—416no—
537C22×D59—432no—
538C22×D59—4128no—
539C22×D59—416no—
540C22×D59—88no—
541C22×D59H(5,𝔽2)14yes—
542C22×D59C2514yes—
543C22×D59C2512yes—
544C22×D59C2512yes—
545C22×D59C2512yes—
546D4×C59—216no—
547D4×C59—216no—
548D4×C59—216no—
549D4×C59—44no—
550D4×C59—44no—
551D4×C59—48no—
552D4×C59—48no—
553D4×C59—48no—
554D4×C59—48no—
555C2×C4×C59—22no—
556C2×C4×C59—24no—
557C2×C4×C59—24no—
558C2×C4×C59—24no—
559C2×C4×C59—48no—
560C2×C4×C59—48no—
561C2×C4×C59C2514yes—
562C2×C4×C59C2512yes—
563C2×C4×C59C2514yes—
564C2×C4×C59C2514yes—
565C22⋊D59—216no—
566C22⋊D59—216no—
567C22⋊D59—216no—
568C22⋊D59—48no—
569C22⋊D59—44no—
570C22⋊D59—44no—
571C22⋊D59—48no—
572C22⋊D59—48no—
573C22⋊D59—48no—
574C22⋊D59—48no—
575C22⋊D59—48no—
576C22⋊D59—48no—
577C22⋊D59—48no—
578C22⋊D59—48no—
579C2×Dic59—24no—
580C2×Dic59—24no—
581C2×Dic59—24no—
582C2×Dic59—22no—
583C2×Dic59—24no—
584C2×Dic59—216no—
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—
595C2×Dic59C2512yes—
596D236—44no—
597D236—48no—
598C4×D59—28no—
599C4×D59—48no—
600C4×D59—48no—
601Dic118—48no—
602Dic118—44no—
603C2×#3532—591nomaximal, Sylow
604C22×C59—24no—
605C22×C59—24no—
606C22×C59—216no—
607C22×C59—24no—
608C22×C59—24no—
609C22×C59—22no—
610C22×C59—24no—
611C22×C59—24no—
612C22×C59—24no—
613C22×C59—24no—
614C22×C59—22no—
615C22×C59—24no—
616C22×C59—24no—
617C22×C59—416no—
618C22×C59—44no—
619C22×C59—44no—
620C22×C59—48no—
621C22×C59—48no—
622C22×C59—816no—
623C22×C59—88no—
624C22×C59C2×H(5,𝔽2)12yes—
625C22×C59C2×H(5,𝔽2)18yes—
626C22×C59C2×H(5,𝔽2)14yes—
627C22×C59C2611yescharacteristic
628C2×D59—24no—
629C2×D59—28no—
630C2×D59—24no—
631C2×D59—22no—
632C2×D59—22no—
633C2×D59—24no—
634C2×D59—24no—
635C2×D59—24no—
636C2×D59—24no—
637C2×D59—432no—
638C2×D59—416no—
639C2×D59—432no—
640C2×D59—416no—
641C2×D59—48no—
642C2×D59—44no—
643C2×D59—44no—
644C2×D59—88no—
645C2×D59C2×H(5,𝔽2)14yes—
646C4×C59—22no—
647C4×C59—24no—
648C4×C59—24no—
649C4×C59—24no—
650Dic59—24no—
651Dic59—24no—
652Dic59—24no—
653Dic59—22no—
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—592no—
666C2×D42D5911yescharacteristic, complemented
667C2×#538—592no—
668C2×#538—592no—
669C2×#538—592no—
670C2×#535—591no—
671C2×#535—592no—
672C2×#534—592no—
673C2×#534—591no—
674C22×#120—592no—
675C22×#120—591no—
676C2×C59—28no—
677C2×C59—42no—
678C2×C59—42no—
679C2×C59—44no—
680C2×C59—44no—
681C2×C59#353214yescomplemented
682C2×C59C22×H(5,𝔽2)11yescharacteristic
683C2×C59C22×H(5,𝔽2)12yes—
684D59—24no—
685D59—44no—
686D59—42no—
687D59—42no—
688C26—591no—
689C22×#41—592no—
690C22×#41—591no—
691C23×D4—592no—
692C23×D4—592no—
693C23×D4—591no—
694C23×D4—591no—
695C23×D4—592no—
696C23×D4C2×D5912yescomplemented
697C23×D4C2×D5912yescomplemented
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—5932no—
707D42C2×D59116yescomplemented
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—592no—
717C2×#127C2×D5911yescharacteristic, complemented
718C2×#126—592no—
719C2×#126—592no—
720C2×#126—592no—
721C2×#126—592no—
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—592no—
731C2×#123—591no—
732C2×#123—592no—
733C2×#123—592no—
734C2×#123—592no—
735C2×#123—592no—
736C2×#123—592no—
737C2×#123—591no—
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—591no—
758C2×#120—592no—
759C2×#120—591no—
760C2×#120—592no—
761C2×#120—592no—
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—5932no—
772C2×#120—592no—
773C2×#120—5916no—
774C2×#120—592no—
775C2×#120—591no—
776C2×#120C2×D5911yescharacteristic
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×D4C2×D5912yescomplemented
785C2×#117—592no—
786C2×#117—591no—
787C22×C22⋊C4—592no—
788C22×C22⋊C4—592no—
789C22×C22⋊C4—592no—
790C22×C22⋊C4—592no—
791C22×C22⋊C4—591no—
792C22×C22⋊C4—592no—
793C22×C22⋊C4—591no—
794C59C2×#353211yescharacteristic, complemented, Sylow
795C25—592no—
796C25—591no—
797C25—592no—
798C25—591no—
799C25—591no—
800C25—598no—
801C25—2368no—
802C25—2364no—
803C25C22×D5911yescharacteristic
804C25C22×D5912yes—
805C25C22×D5911yescharacteristic, complemented
806C2×#41—5916no—
807C2×#41—598no—
808C2×#41—2368no—
809C2×#41—2364no—
810C22×Q8—592no—
811C22×Q8—591no—
812C22×D4—48no—
813C22×D4—48no—
814C22×D4—592no—
815C22×D4—592no—
816C22×D4—592no—
817C22×D4—591no—
818C22×D4—592no—
819C22×D4—592no—
820C22×D4—592no—
821C22×D4—592no—
822C22×D4—592no—
823C22×D4—591no—
824C22×D4—592no—
825C22×D4—592no—
826C22×D4—592no—
827C22×D4—5916no—
828C22×D4—5916no—
829C22×D4—592no—
830C22×D4—598no—
831C22×D4—598no—
832C22×D4—5916no—
833C22×D4—592no—
834C22×D4—591no—
835C22×D4—2364no—
836C22×D4—2368no—
837C22×D4—2368no—
838C22×D4—2364no—
839C22×D4—2368no—
840C22×D4C22×D5912yes—
841C22×D4C22×D5912yes—
842C22×D4C22×D5912yes—
843C22×D4C22×D5912yes—
844C22×D4C22×D5912yes—
845C22×D4C22×D5911yescharacteristic
846C22×D4C22×D59116yescomplemented
847C22×D4C22×D5912yescomplemented
848C22×D4C22×D5911yescharacteristic, complemented
849C22×D4C22×D5912yescomplemented
850C22×D4C22×D59116yescomplemented
851C23×C4—592no—
852C23×C4—592no—
853C23×C4—592no—
854C23×C4—592no—
855C23×C4—591no—
856C23×C4—591no—
857C23×C4—592no—
858C23×C4—592no—
859C23×C4C22×D5912yes—
860C23×C4C22×D5912yescomplemented
861#127—598no—
862#127—5916no—
863#127C22×D5918yescomplemented
864#126—5916no—
865#126—5916no—
866#126—5916no—
867#126—5916no—
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—5916no—
877#123—598no—
878#123—5916no—
879#123—5916no—
880#123—5916no—
881#123—5916no—
882#123—598no—
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—598no—
904#120—5916no—
905#120—598no—
906#120—5916no—
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—5916no—
916#120—598no—
917#120—5916no—
918#120—5916no—
919#120—598no—
920#120C22×D5918yes—
921#120C22×D59116yescomplemented
922#120C22×D5918yescomplemented
923C4×D4—5916no—
924C4×D4—5916no—
925C4×D4—5916no—
926C4×D4—5916no—
927C4×D4—5916no—
928C4×D4C22×D59116yescomplemented
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⋊C4—592no—
938C2×C4⋊C4—592no—
939C2×C4⋊C4C22×D5912yescomplemented
940C2×C22⋊C4—592no—
941C2×C22⋊C4—592no—
942C2×C22⋊C4—592no—
943C2×C22⋊C4—592no—
944C2×C22⋊C4—592no—
945C2×C22⋊C4—591no—
946C2×C22⋊C4—5916no—
947C2×C22⋊C4—591no—
948C2×C22⋊C4—592no—
949C2×C22⋊C4—592no—
950C2×C22⋊C4—5916no—
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—592no—
963C2×C22⋊C4—592no—
964C2×C22⋊C4—592no—
965C2×C22⋊C4—5916no—
966C2×C22⋊C4—5916no—
967C2×C22⋊C4—592no—
968C2×C22⋊C4—598no—
969C2×C22⋊C4—5916no—
970C2×C22⋊C4—598no—
971C2×C22⋊C4C22×D5912yes—
972C2×C22⋊C4C22×D5911yescharacteristic
973C2×C22⋊C4C22×D5911yescharacteristic, complemented
974C2×C22⋊C4C22×D5912yescomplemented
975C2×C22⋊C4C22×D5912yescomplemented
976C2×C42—591no—
977C2×C42—592no—
978C2×C42—592no—
979C2×C42C22×D5911yescharacteristic, complemented
980C24—28no—
981C24—28no—
982C24—42no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—42no—
987C24—591no—
988C24—592no—
989C24—591no—
990C24—591no—
991C24—598no—
992C24—594no—
993C24—598no—
994C24—594no—
995C24—594no—
996C24—1184no—
997C24—1188no—
998C24—1184no—
999C24—1188no—
1000C24—1188no—
1001C24—2364no—
1002C24—2364no—
1003C24—2364no—
1004C24—2364no—
1005C24—2362no—
1006C24—2364no—
1007C24—2364no—
1008C24—23632no—
1009C24—23616no—
1010C24—23664no—
1011C24C23×D5911yescharacteristic
1012C24C23×D5911yescharacteristic
1013C24C23×D5912yes—
1014C24C23×D5912yes—
1015C24C23×D5914yes—
1016C24C23×D5912yes—
1017C24C23×D5918yes—
1018C24C23×D5914yescomplemented
1019#41—23632no—
1020#41—23616no—
1021C2×Q8—598no—
1022C2×Q8—594no—
1023C2×Q8—2362no—
1024C2×Q8—2364no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—432no—
1035C2×D4—432no—
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—594no—
1046C2×D4—598no—
1047C2×D4—598no—
1048C2×D4—598no—
1049C2×D4—598no—
1050C2×D4—598no—
1051C2×D4—594no—
1052C2×D4—1188no—
1053C2×D4—1188no—
1054C2×D4—1188no—
1055C2×D4—2362no—
1056C2×D4—2364no—
1057C2×D4—23616no—
1058C2×D4—2362no—
1059C2×D4—2362no—
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—2364no—
1069C2×D4—2364no—
1070C2×D4—23632no—
1071C2×D4—23616no—
1072C2×D4—23632no—
1073C2×D4C23×D5918yes—
1074C2×D4C23×D5918yes—
1075C2×D4C23×D5918yes—
1076C2×D4C23×D5918yes—
1077C2×D4C23×D5918yes—
1078C2×D4C23×D5914yes—
1079C2×D4C23×D5918yescomplemented
1080C2×D4C23×D5914yescomplemented
1081C2×D4C23×D5918yescomplemented
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—598no—
1085C22×C4—592no—
1086C22×C4—592no—
1087C22×C4—592no—
1088C22×C4—592no—
1089C22×C4—591no—
1090C22×C4—592no—
1091C22×C4—598no—
1092C22×C4—598no—
1093C22×C4—598no—
1094C22×C4—594no—
1095C22×C4—594no—
1096C22×C4—598no—
1097C22×C4—598no—
1098C22×C4—1184no—
1099C22×C4—1188no—
1100C22×C4—2364no—
1101C22×C4—2364no—
1102C22×C4—2362no—
1103C22×C4—2364no—
1104C22×C4—2364no—
1105C22×C4—2364no—
1106C22×C4C23×D5911yescharacteristic
1107C22×C4C23×D5912yes—
1108C22×C4C23×D5912yes—
1109C22×C4C23×D5912yes—
1110C22×C4C23×D5918yes—
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—598no—
1123C22⋊C4—598no—
1124C22⋊C4—598no—
1125C22⋊C4—598no—
1126C22⋊C4—594no—
1127C22⋊C4—594no—
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⋊C4—598no—
1144C22⋊C4—598no—
1145C22⋊C4C23×D5918yes—
1146C22⋊C4C23×D5914yes—
1147C22⋊C4C23×D5914yescomplemented
1148C22⋊C4C23×D5918yescomplemented
1149C22⋊C4C23×D5918yescomplemented
1150C42—594no—
1151C42—598no—
1152C42—598no—
1153C42C23×D5914yescomplemented
1154C23—24no—
1155C23—24no—
1156C23—24no—
1157C23—22no—
1158C23—22no—
1159C23—24no—
1160C23—24no—
1161C23—24no—
1162C23—24no—
1163C23—24no—
1164C23—24no—
1165C23—216no—
1166C23—24no—
1167C23—216no—
1168C23—44no—
1169C23—48no—
1170C23—48no—
1171C23—48no—
1172C23—44no—
1173C23—416no—
1174C23—816no—
1175C23—88no—
1176C23—594no—
1177C23—592no—
1178C23—594no—
1179C23—592no—
1180C23—592no—
1181C23—1188no—
1182C23—11816no—
1183C23—1188no—
1184C23—1184no—
1185C23—1182no—
1186C23—1182no—
1187C23—1184no—
1188C23—1184no—
1189C23—11816no—
1190C23—11816no—
1191C23—1184no—
1192C23—1184no—
1193C23—1184no—
1194C23—4728no—
1195C23—2368no—
1196C23—2368no—
1197C23—2368no—
1198C23—2368no—
1199C23—2364no—
1200C23—2368no—
1201C23—2368no—
1202C23—23632no—
1203C23—23632no—
1204C23—23616no—
1205C23—236128no—
1206C23—23616no—
1207C23#1427377218yes—
1208C23C24×D5912yes—
1209C23C24×D5912yes—
1210C23C24×D5914yes—
1211C23C24×D5914yes—
1212C23C24×D5914yes—
1213C23C24×D5911yescharacteristic
1214Q8—2364no—
1215Q8—2368no—
1216D4—216no—
1217D4—216no—
1218D4—216no—
1219D4—48no—
1220D4—48no—
1221D4—48no—
1222D4—48no—
1223D4—44no—
1224D4—44no—
1225D4—11816no—
1226D4—11816no—
1227D4—11816no—
1228D4—2364no—
1229D4—2368no—
1230D4—2364no—
1231D4—2364no—
1232D4—2368no—
1233D4—2368no—
1234D4—2368no—
1235D4—2368no—
1236D4—2368no—
1237D4—2368no—
1238D4—2368no—
1239D4—2368no—
1240D4—2368no—
1241C2×C4—22no—
1242C2×C4—24no—
1243C2×C4—24no—
1244C2×C4—24no—
1245C2×C4—48no—
1246C2×C4—48no—
1247C2×C4—594no—
1248C2×C4—594no—
1249C2×C4—594no—
1250C2×C4—594no—
1251C2×C4—592no—
1252C2×C4—594no—
1253C2×C4—1188no—
1254C2×C4—1182no—
1255C2×C4—1184no—
1256C2×C4—1184no—
1257C2×C4—1184no—
1258C2×C4—1184no—
1259C2×C4—11816no—
1260C2×C4—1184no—
1261C2×C4—2368no—
1262C2×C4—2368no—
1263C2×C4—2364no—
1264C2×C4—2368no—
1265C2×C4—2368no—
1266C2×C4—2368no—
1267C2×C4C24×D5912yes—
1268C2×C4C24×D5914yes—
1269C2×C4C24×D5914yes—
1270C2×C4C24×D5914yes—
1271C22—216no—
1272C22—24no—
1273C22—24no—
1274C22—24no—
1275C22—22no—
1276C22—22no—
1277C22—24no—
1278C22—24no—
1279C22—24no—
1280C22—24no—
1281C22—24no—
1282C22—24no—
1283C22—24no—
1284C22—416no—
1285C22—44no—
1286C22—48no—
1287C22—44no—
1288C22—48no—
1289C22—816no—
1290C22—88no—
1291C22—594no—
1292C22—1188no—
1293C22—1184no—
1294C22—1182no—
1295C22—1182no—
1296C22—1184no—
1297C22—1184no—
1298C22—1184no—
1299C22—1184no—
1300C22—1184no—
1301C22—4728no—
1302C22—23632no—
1303C22—23632no—
1304C22—23616no—
1305C22—23616no—
1306C22—2364no—
1307C22—2368no—
1308C22—2364no—
1309C22H(5,𝔽2)×D5912yes—
1310C22C2×#1427377218yes—
1311C22C2×#1427377214yes—
1312C22C25×D5911yescharacteristic
1313C4—22no—
1314C4—24no—
1315C4—24no—
1316C4—24no—
1317C4—1182no—
1318C4—1184no—
1319C4—1184no—
1320C4—1184no—
1321C4—1184no—
1322C4—1184no—
1323C2—28no—
1324C2—42no—
1325C2—44no—
1326C2—42no—
1327C2—44no—
1328C2—1184no—
1329C2—2362no—
1330C2—2364no—
1331C2—2362no—
1332C2#2143824614yesdirect product factor
1333C2C2×H(5,𝔽2)×D5911yescharacteristic
1334C2C22×#1427377212yes—
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×D42×C59C2
socleC23×C59C25
hypercenterC2×D42D59
hypocenterC59C2×#3532
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #21438246C2direct (N × H)
2. C2×#16838145C2semidirect
3. C2×#16838140C2semidirect
4. C2×#16838139C2semidirect
5. C2×#16838083C2semidirect
6. C2×#16838081C2semidirect
7. C2×#16838046C2semidirect
8. C2×#16838041C2semidirect
9. C2×#16838039C2semidirect
10. C2×D4×C22⋊D59C2semidirect
11. C2×#16837989C2semidirect
12. C2×#16837985C2semidirect
13. C2×#16837984C2semidirect
14. C2×#16837967C2semidirect
15. C2×#16837965C2semidirect
16. C2×#16837962C2semidirect
17. C2×#16837961C2semidirect
18. C22×#14273695C2semidirect
19. C2×#120×D59C2semidirect
20. C2×D42×C59C2semidirect
21. C25×D59C22semidirect
22. C22×#11745687C22semidirect
23. C22×#11745687C22semidirect
24. C23×C22⋊D59C22semidirect
25. C23×C22⋊D59C22semidirect
26. C23×C22⋊D59C22semidirect
27. C22×D4×D59C22semidirect
28. C22×D4×D59C22semidirect
29. #16838145C22semidirect
30. #16838140C22semidirect
31. #16838139C22semidirect
32. #16838083C22semidirect
33. #16838081C22semidirect
34. #16838046C22semidirect
35. #16838041C22semidirect
36. #16838039C22semidirect
37. D4×C22⋊D59C22semidirect
38. #16837989C22semidirect
39. #16837985C22semidirect
40. #16837984C22semidirect
41. #16837967C22semidirect
42. #16837965C22semidirect
43. #16837962C22semidirect
44. #16837961C22semidirect
45. C2×#14273723C22semidirect
46. C2×#14273723C22semidirect
47. C2×#14273722C22semidirect
48. C2×#14273722C22semidirect
49. C2×#14273721C22semidirect
50. C2×#14273720C22semidirect
51. C2×#14273715C22semidirect
52. C2×#14273714C22semidirect
53. C2×#14273714C22semidirect
54. C2×#14273713C22semidirect
55. C2×#14273713C22semidirect
56. C2×#14273713C22semidirect
57. C2×#14273713C22semidirect
58. C2×#14273712C22semidirect
59. C2×#14273711C22semidirect
60. C2×#14273711C22semidirect
61. C2×#14273710C22semidirect
62. C2×#14273710C22semidirect
63. C2×#14273709C22semidirect
64. C2×#14273708C22semidirect
65. C2×#14273708C22semidirect
66. C2×#14273708C22semidirect
67. C2×#14273708C22semidirect
68. C2×#14273706C22semidirect
69. C2×#14273705C22semidirect
70. C2×#14273704C22semidirect
71. C2×#14273701C22semidirect
72. C2×#14273700C22semidirect
73. C2×#14273700C22semidirect
74. C2×#14273699C22semidirect
75. C2×#14273699C22semidirect
76. C2×#14273699C22semidirect
77. C2×#14273699C22semidirect
78. C2×#14273699C22semidirect
79. C2×#14273699C22semidirect
80. C2×#14273699C22semidirect
81. C2×#14273699C22semidirect
82. C2×#14273698C22semidirect
83. C2×#14273698C22semidirect
84. C2×#14273697C22semidirect
85. C2×#14273697C22semidirect
86. C2×#14273696C22semidirect
87. C2×#14273696C22semidirect
88. C2×#14273696C22semidirect
89. C2×#14273696C22semidirect
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. C2×#14273695C22semidirect
101. C2×#14273695C22semidirect
102. #120×D59C22semidirect
103. C2×D4×Dic59C22semidirect
104. C2×D4×Dic59C22semidirect
105. C2×C4×C22⋊D59C22semidirect
106. C2×C4×C22⋊D59C22semidirect
107. C2×(C22⋊D59)⋊C4C22semidirect
108. C2×#14273684C22semidirect
109. C2×#14273683C22semidirect
110. C22×C22⋊Dic59C22semidirect
111. C22×C22⋊Dic59C22semidirect
112. C22×(C2×D59)⋊C4C22semidirect
113. C22×(C2×D59)⋊C4C22semidirect
114. C2×C22⋊C4×D59C22semidirect
115. C2×C22⋊C4×D59C22semidirect
116. C2×C22⋊C4×D59C22semidirect
117. C23×D4×C59C22semidirect
118. C23×D4×C59C22semidirect
119. D42×C59C22semidirect
120. C2×#127×C59C22semidirect
121. C2×#121×C59C22semidirect
122. C2×#121×C59C22semidirect
124. C2×#120×C59C22semidirect
125. C2×#120×C59C22semidirect
126. C2×C4×D4×C59C22semidirect
134. C24×D59C23semidirect
137. C2×#11745687C23semidirect
138. C2×#11745687C23semidirect
139. C22×Dic118C23semidirect
140. C22×Dic118C23semidirect
158. C22×C22⋊D59C23semidirect
159. C22×C22⋊D59C23semidirect
160. C22×C22⋊D59C23semidirect
161. C22×C22⋊D59C23semidirect
162. C22×C22⋊D59C23semidirect
165. C2×D4×D59C23semidirect
166. C2×D4×D59C23semidirect
169. C23×Dic59C23semidirect
170. C23×Dic59C23semidirect
171. C23×Dic59C23semidirect
174. C22×C4×D59C23semidirect
175. #14273723C23semidirect
176. #14273723C23semidirect
177. #14273722C23semidirect
178. #14273722C23semidirect
179. #14273721C23semidirect
180. #14273720C23semidirect
181. #14273715C23semidirect
182. #14273714C23semidirect
183. #14273714C23semidirect
184. #14273713C23semidirect
185. #14273713C23semidirect
186. #14273713C23semidirect
187. #14273713C23semidirect
188. #14273712C23semidirect
189. #14273711C23semidirect
190. #14273711C23semidirect
191. #14273710C23semidirect
192. #14273710C23semidirect
193. #14273709C23semidirect
194. #14273708C23semidirect
195. #14273708C23semidirect
196. #14273708C23semidirect
197. #14273708C23semidirect
198. #14273706C23semidirect
199. #14273705C23semidirect
200. #14273704C23semidirect
201. #14273701C23semidirect
202. #14273700C23semidirect
203. #14273700C23semidirect
204. #14273699C23semidirect
205. #14273699C23semidirect
206. #14273699C23semidirect
207. #14273699C23semidirect
208. #14273699C23semidirect
209. #14273699C23semidirect
210. #14273699C23semidirect
211. #14273699C23semidirect
212. #14273698C23semidirect
213. #14273698C23semidirect
214. #14273697C23semidirect
215. #14273697C23semidirect
216. #14273696C23semidirect
217. #14273696C23semidirect
218. #14273696C23semidirect
219. #14273696C23semidirect
221. #14273695C23semidirect
222. #14273695C23semidirect
223. #14273695C23semidirect
224. #14273695C23semidirect
225. #14273695C23semidirect
226. #14273695C23semidirect
227. #14273695C23semidirect
228. #14273695C23semidirect
229. #14273695C23semidirect
230. #14273695C23semidirect
231. D4×Dic59C23semidirect
232. D4×Dic59C23semidirect
233. C4×C22⋊D59C23semidirect
234. C4×C22⋊D59C23semidirect
235. (C22⋊D59)⋊C4C23semidirect
236. #14273684C23semidirect
237. #14273683C23semidirect
238. C2×C4⋊Dic59C23semidirect
239. C2×C4⋊Dic59C23semidirect
240. C2×Dic59⋊C4C23semidirect
241. C2×Dic59⋊C4C23semidirect
242. C2×Dic59⋊C4C23semidirect
243. C2×Dic59⋊C4C23semidirect
244. C2×Dic59⋊C4C23semidirect
245. C2×Dic59⋊C4C23semidirect
252. C2×C22⋊Dic59C23semidirect
253. C2×C22⋊Dic59C23semidirect
254. C2×C22⋊Dic59C23semidirect
255. C2×C22⋊Dic59C23semidirect
256. C2×C22⋊Dic59C23semidirect
257. C2×C22⋊Dic59C23semidirect
258. C2×C22⋊Dic59C23semidirect
259. C2×C22⋊Dic59C23semidirect
271. C2×(C2×D59)⋊C4C23semidirect
272. C2×(C2×D59)⋊C4C23semidirect
273. C2×(C2×D59)⋊C4C23semidirect
274. C22⋊C4×D59C23semidirect
275. C22⋊C4×D59C23semidirect
276. C22⋊C4×D59C23semidirect
277. C2×C4×Dic59C23semidirect
278. C2×C4×Dic59C23semidirect
279. C2×C4×Dic59C23semidirect
282. C25×C59C23semidirect
291. C22×D4×C59C23semidirect
292. C22×D4×C59C23semidirect
293. C22×D4×C59C23semidirect
294. C22×D4×C59C23semidirect
295. C22×D4×C59C23semidirect
297. C23×C4×C59C23semidirect
298. #127×C59C23semidirect
299. #121×C59C23semidirect
300. #121×C59C23semidirect
302. #120×C59C23semidirect
303. #120×C59C23semidirect
304. C4×D4×C59C23semidirect
305. C2×C4⋊C4×C59C23semidirect
308. C2×C22⋊C4×C59C23semidirect
309. C2×C22⋊C4×C59C23semidirect
310. C2×C22⋊C4×C59C23semidirect
311. C2×C42×C59C23semidirect
326. C24×C59C24semidirect
368. C2×D4×C59C24semidirect
369. C2×D4×C59C24semidirect
370. C2×D4×C59C24semidirect
378. C22×C4×C59C24semidirect
408. C2×C22⋊D59C24semidirect
409. C2×C22⋊D59C24semidirect
423. C22×Dic59C24semidirect
424. C22×Dic59C24semidirect
425. C22×Dic59C24semidirect
439. C2×C4×D59C24semidirect
442. C2×Dic118C24semidirect
443. C2×Dic118C24semidirect
444. C4⋊C4×C59C24semidirect
447. C22⋊C4×C59C24semidirect
448. C22⋊C4×C59C24semidirect
449. C22⋊C4×C59C24semidirect
450. C42×C59C24semidirect
457. C22⋊Dic59C24semidirect
458. C22⋊Dic59C24semidirect
459. C22⋊Dic59C24semidirect
460. C22⋊Dic59C24semidirect
461. C22⋊Dic59C24semidirect
462. C22⋊Dic59C24semidirect
474. (C2×D59)⋊C4C24semidirect
475. C4⋊Dic59C24semidirect
476. C4⋊Dic59C24semidirect
477. Dic59⋊C4C24semidirect
478. Dic59⋊C4C24semidirect
479. Dic59⋊C4C24semidirect
480. Dic59⋊C4C24semidirect
481. Dic59⋊C4C24semidirect
482. Dic59⋊C4C24semidirect
483. C4×Dic59C24semidirect
484. C4×Dic59C24semidirect
485. C4×Dic59C24semidirect
666. C2×D42D59semidirect
681. C2×C59#3532semidirect
696. C23×D4C2×D59semidirect
697. C23×D4C2×D59semidirect
707. D42C2×D59semidirect
717. C2×#127C2×D59semidirect
755. C2×#121C2×D59semidirect
756. C2×#121C2×D59semidirect
777. C2×#120C2×D59semidirect
778. C2×#120C2×D59semidirect
784. C2×C4×D4C2×D59semidirect
794. C59C2×#3532semidirect
805. C25C22×D59semidirect
846. C22×D4C22×D59semidirect
847. C22×D4C22×D59semidirect
848. C22×D4C22×D59semidirect
849. C22×D4C22×D59semidirect
850. C22×D4C22×D59semidirect
860. C23×C4C22×D59semidirect
863. #127C22×D59semidirect
901. #121C22×D59semidirect
902. #121C22×D59semidirect
921. #120C22×D59semidirect
922. #120C22×D59semidirect
928. C4×D4C22×D59semidirect
939. C2×C4⋊C4C22×D59semidirect
973. C2×C22⋊C4C22×D59semidirect
974. C2×C22⋊C4C22×D59semidirect
975. C2×C22⋊C4C22×D59semidirect
979. C2×C42C22×D59semidirect
1018. C24C23×D59semidirect
1079. C2×D4C23×D59semidirect
1080. C2×D4C23×D59semidirect
1081. C2×D4C23×D59semidirect
1111. C22×C4C23×D59semidirect
1120. C4⋊C4C23×D59semidirect
1147. C22⋊C4C23×D59semidirect
1148. C22⋊C4C23×D59semidirect
1149. C22⋊C4C23×D59semidirect
1153. C42C23×D59semidirect
1332. C2#21438246direct (N × H)

Maximal subgroups

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

subgroupindex
#214382462
C2×#168381452
C2×#168381402
C2×#168381392
C2×#168380832
C2×#168380812
C2×#168380462
C2×#168380412
C2×#168380392
C2×D4×C22⋊D592
C2×#168379892
C2×#168379852
C2×#168379842
C2×#168379672
C2×#168379652
C2×#168379622
C2×#168379612
C22×#142736952
C2×#120×D592
C2×D42×C592
C2×#353259