Finite Group Databasebeta

← C2×#21437779 #29496596

Subgroups — C2×#21437779 #29496596

Order 15104.

9502 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437779C2132yesmaximal, direct product factor
2C2×#16838081C212yesmaximal, complemented
3C2×#16838079C212yesmaximal, complemented
4C2×#16838076C212yesmaximal, complemented
5C2×#16838075C212yesmaximal, complemented
6C2×#16838047C212yesmaximal, complemented
7C2×#16838044C212yesmaximal, complemented
8C2×#16838041C212yesmaximal, complemented
9C2×#16838040C212yesmaximal, complemented
10C2×#16838027C211yesmaximal, characteristic, complemented
11C2×#16837992C211yesmaximal, characteristic, complemented
12C2×#16837989C211yesmaximal, characteristic, complemented
13C2×#16837985C212yesmaximal, complemented
14C2×#16837960C211yesmaximal, characteristic, complemented
15C2×#16837913C211yesmaximal, characteristic, complemented
16C2×#16837908C212yesmaximal, complemented
17C2×#120×D59C212yesmaximal, complemented
18C2×#16837874C212yesmaximal, complemented
19C23×(C2×D59)⋊C4C211yesmaximal, characteristic, complemented
20C2×C59×#525C211yesmaximal, characteristic, complemented
21C25×D59C2211yescharacteristic
22C22×#11745685C2211yescharacteristic, complemented
23C22×#11745687C2212yescomplemented
24C22×D4×D59C2212yes—
25C22×D4×D59C2212yescomplemented
26C22×D4×D59C2212yescomplemented
27C24×Dic59C2211yescharacteristic, complemented
28#16838081C22132yescomplemented
29#16838079C22132yescomplemented
30#16838076C22132yescomplemented
31#16838075C22132yescomplemented
32#16838047C22132yescomplemented
33#16838044C22132yescomplemented
34#16838041C22132yescomplemented
35#16838040C22132yescomplemented
36#16838027C22116yescomplemented
37#16837992C22116yescomplemented
38#16837989C22116yescomplemented
39#16837985C22132yescomplemented
40#16837960C22116yescomplemented
41C2×#14273722C2212yescomplemented
42C2×#14273722C2212yescomplemented
43C2×#14273722C2212yescomplemented
44C2×#14273721C2212yescomplemented
45C2×#14273716C2212yescomplemented
46C2×#14273715C2212yescomplemented
47C2×#14273713C2212yescomplemented
48C2×#14273713C2212yescomplemented
49#16837913C22116yescomplemented
50#16837908C22132yescomplemented
51C2×#14273712C2212yescomplemented
52C2×#14273712C2212yescomplemented
53C2×#14273712C2212yescomplemented
54C2×#14273711C2212yescomplemented
55C2×#14273711C2212yescomplemented
56C2×#14273710C2212yescomplemented
57C2×#14273710C2212yescomplemented
58C2×#14273709C2212yescomplemented
59C2×#14273708C2212yescomplemented
60C2×#14273707C2212yescomplemented
61C2×#14273706C2211yescharacteristic, complemented
62C2×#14273706C2211yescharacteristic, complemented
63C2×#14273705C2212yescomplemented
64C2×#14273705C2212yescomplemented
65C2×#14273704C2212yescomplemented
66C2×#14273704C2212yescomplemented
67C2×#14273703C2212yescomplemented
68C2×#14273702C2212yescomplemented
69C2×#14273701C2211yescharacteristic, complemented
70C2×#14273701C2211yescharacteristic, complemented
71C2×#14273701C2212yescomplemented
72C2×#14273700C2212yescomplemented
73C2×#14273699C2212yescomplemented
74C2×#14273699C2212yescomplemented
75C2×#14273699C2212yescomplemented
76C2×#14273697C2212yes—
77C2×#14273697C2212yes—
78C2×#14273697C2212yescomplemented
79C2×#14273697C2212yescomplemented
80C2×#14273696C2212yescomplemented
81C2×#14273695C2212yes—
82C2×#14273695C2212yes—
83C2×#14273695C2212yescomplemented
84C2×#14273695C2212yescomplemented
85#120×D59C22132yescomplemented
86#16837874C22132yescomplemented
87C2×C4×D236C2212yescomplemented
88C2×D4×Dic59C2212yescomplemented
89C2×D4×Dic59C2212yescomplemented
90C2×#14273689C2212yescomplemented
91C2×C4×C22⋊D59C2212yescomplemented
92C2×C4×C22⋊D59C2212yescomplemented
93C2×C4×C22⋊D59C2212yescomplemented
94C2×(C22⋊D59)⋊C4C2212yescomplemented
95C2×(C22⋊D59)⋊C4C2212yescomplemented
96C2×(C22⋊D59)⋊C4C2212yescomplemented
97C2×#14273686C2211yescharacteristic, complemented
98C2×#14273685C2212yescomplemented
99C2×#14273684C2212yescomplemented
100C2×#14273683C2212yescomplemented
101C22×(C2×D59)⋊C4C2211yescharacteristic
102C22×(C2×D59)⋊C4C2211yescharacteristic
103C22×(C2×D59)⋊C4C2212yescomplemented
104C22×(C2×D59)⋊C4C2212yescomplemented
105C22×(C2×D59)⋊C4C2212yescomplemented
106C22×(C2×D59)⋊C4C2212yescomplemented
107C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
108C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
109C22×(C2×D59)⋊C4C22116yescomplemented
110C22×(C2×D59)⋊C4C2212yescomplemented
111C2×C22⋊C4×D59C2212yes—
112C2×C22⋊C4×D59C2212yescomplemented
113C2×C22⋊C4×D59C2212yescomplemented
114C2×C22⋊C4×D59C2212yescomplemented
115C22×#41×C59C2211yescharacteristic, complemented
116C24×C4×C59C2211yescharacteristic, complemented
117C59×#525C22116yescomplemented
118C2×#123×C59C2212yescomplemented
119C2×C22⋊Q8×C59C2211yescharacteristic, complemented
120C2×C22⋊Q8×C59C2211yescharacteristic, complemented
121C2×#121×C59C2211yescharacteristic, complemented
122C2×#121×C59C2211yescharacteristic, complemented
123C2×#120×C59C2212yescomplemented
124C2×C4×D4×C59C2212yescomplemented
125C2×C4×D4×C59C2212yescomplemented
126C2×#117×C59C2211yescharacteristic, complemented
127C24×D59—28no—
128C24×D59—44no—
129C24×D59—44no—
130C24×D59C2312yes—
131C24×D59C2312yes—
132C24×D59C2311yescharacteristic
133C24×D59C2312yes—
134C24×D59C2318yes—
135C24×D59C2311yescharacteristic
136C2×#11745685—44no—
137C2×#11745685C2318yescomplemented
138C2×#11745687—48no—
139C2×#11745687C23116yescomplemented
140C22×Dic118C2312yescomplemented
141C22×Dic118C2311yescharacteristic, complemented
142C22×D236C2312yes—
143C22×D236C2312yes—
144C22×D236C2312yes—
145C22×D236C2311yescharacteristic, complemented
146C22×C22⋊D59C2312yes—
147C22×C22⋊D59C2312yes—
148C22×C22⋊D59C2312yes—
149C22×C22⋊D59C2312yes—
150C22×C22⋊D59C2312yes—
151C22×C22⋊D59C2312yes—
152C22×C22⋊D59C2312yescomplemented
153C2×D4×D59—216no—
154C2×D4×D59—48no—
155C2×D4×D59—48no—
156C2×D4×D59C23116yes—
157C2×D4×D59C23116yescomplemented
158C2×D4×D59C23116yescomplemented
159C23×Dic59—44no—
160C23×Dic59C2312yes—
161C23×Dic59C2311yescharacteristic
162C23×Dic59C2312yes—
163C23×Dic59C2311yescharacteristic
164C23×Dic59C2318yescomplemented
165C23×Dic59C2312yescomplemented
166C22×C4×D59C2312yes—
167C22×C4×D59C2312yes—
168C22×C4×D59C2312yes—
169C22×C4×D59C2312yescomplemented
170C22×C4×D59C2312yescomplemented
171#14273722C23116yescomplemented
172#14273722C23116yescomplemented
173#14273722C23116yescomplemented
174#14273721C23116yescomplemented
175#14273716C23116yescomplemented
176#14273715C23116yescomplemented
177#14273713C23116yescomplemented
178#14273713C23116yescomplemented
179#14273712C23116yescomplemented
180#14273712C23116yescomplemented
181#14273712C23116yescomplemented
182#14273711C23116yescomplemented
183#14273711C23116yescomplemented
184#14273710C23116yescomplemented
185#14273710C23116yescomplemented
186#14273709C23116yescomplemented
187#14273708C23116yescomplemented
188#14273707C23116yescomplemented
189#14273706C2318yescomplemented
190#14273706C2318yescomplemented
191#14273705C23116yescomplemented
192#14273705C23116yescomplemented
193#14273704C23116yescomplemented
194#14273704C23116yescomplemented
195#14273703C23116yescomplemented
196#14273702C23116yescomplemented
197#14273701C23116yescomplemented
198#14273701C2318yescomplemented
199#14273701C2318yescomplemented
200#14273700C23116yescomplemented
201#14273699C23116yescomplemented
202#14273699C23116yescomplemented
203#14273699C23116yescomplemented
204#14273697C23116yes—
205#14273697C23116yes—
206#14273697C23116yescomplemented
207#14273697C23116yescomplemented
208#14273696C23116yescomplemented
209#14273695C23116yes—
210#14273695C23116yes—
211#14273695C23116yescomplemented
212#14273695C23116yescomplemented
213C4×D236C23116yescomplemented
214D4×Dic59C23116yescomplemented
215D4×Dic59C23116yescomplemented
216#14273689C23116yescomplemented
217C4×C22⋊D59C23116yescomplemented
218C4×C22⋊D59C23116yescomplemented
219C4×C22⋊D59C23116yescomplemented
220(C22⋊D59)⋊C4C23116yescomplemented
221(C22⋊D59)⋊C4C23116yescomplemented
222(C22⋊D59)⋊C4C23116yescomplemented
223#14273686C2318yescomplemented
224#14273685C23116yescomplemented
225#14273684C23116yescomplemented
226#14273683C23116yescomplemented
227C2×C4⋊Dic59C2312yescomplemented
228C2×C4⋊Dic59C2311yescharacteristic, complemented
229C2×C4⋊Dic59C2311yescharacteristic, complemented
230C2×C4⋊Dic59C2312yescomplemented
231C2×Dic59⋊C4C2312yescomplemented
232C2×Dic59⋊C4C2312yescomplemented
233C2×Dic59⋊C4C2312yescomplemented
234C2×Dic59⋊C4C2312yescomplemented
235C2×Dic59⋊C4C2312yescomplemented
236C2×Dic59⋊C4C2312yescomplemented
237C2×C22⋊Dic59C2312yes—
238C2×C22⋊Dic59C2312yes—
239C2×C22⋊Dic59C2312yes—
240C2×C22⋊Dic59C2312yescomplemented
241C2×C22⋊Dic59C2312yescomplemented
242C2×(C2×D59)⋊C4C2312yes—
243C2×(C2×D59)⋊C4C2312yes—
244C2×(C2×D59)⋊C4C2312yes—
245C2×(C2×D59)⋊C4C2312yes—
246C2×(C2×D59)⋊C4C2312yes—
247C2×(C2×D59)⋊C4C2312yes—
248C2×(C2×D59)⋊C4C2312yes—
249C2×(C2×D59)⋊C4C2312yes—
250C2×(C2×D59)⋊C4C2312yes—
251C2×(C2×D59)⋊C4C2312yes—
252C2×(C2×D59)⋊C4C2312yes—
253C2×(C2×D59)⋊C4C2312yes—
254C2×(C2×D59)⋊C4C2318yes—
255C2×(C2×D59)⋊C4C2312yes—
256C2×(C2×D59)⋊C4C2312yes—
257C2×(C2×D59)⋊C4C2318yes—
258C2×(C2×D59)⋊C4C2318yescomplemented
259C2×(C2×D59)⋊C4C2318yescomplemented
260C2×(C2×D59)⋊C4C23116yescomplemented
261C2×(C2×D59)⋊C4C23116yescomplemented
262C2×(C2×D59)⋊C4C23116yescomplemented
263C2×(C2×D59)⋊C4C23116yescomplemented
264C2×(C2×D59)⋊C4C23116yescomplemented
265C2×(C2×D59)⋊C4C2312yescomplemented
266C2×(C2×D59)⋊C4C2312yescomplemented
267C2×(C2×D59)⋊C4C2312yescomplemented
268C2×(C2×D59)⋊C4C2312yescomplemented
269C22⋊C4×D59C23116yes—
270C22⋊C4×D59C23116yescomplemented
271C22⋊C4×D59C23116yescomplemented
272C22⋊C4×D59C23116yescomplemented
273C2×C4×Dic59C2312yescomplemented
274C2×C4×Dic59C2312yescomplemented
275C2×C4×Dic59C2312yescomplemented
276C25×C59C2311yescharacteristic
277C2×#41×C59—44no—
278C2×#41×C59C2318yescomplemented
279C22×Q8×C59C2311yescharacteristic, complemented
280C22×D4×C59C2312yes—
281C22×D4×C59C2312yes—
282C22×D4×C59C2312yes—
283C22×D4×C59C2311yescharacteristic, complemented
284C23×C4×C59—44no—
285C23×C4×C59C2311yescharacteristic
286C23×C4×C59C2311yescharacteristic
287C23×C4×C59C2311yescharacteristic
288C23×C4×C59C2311yescharacteristic
289C23×C4×C59C2311yescharacteristic
290C23×C4×C59C2311yescharacteristic
291C23×C4×C59C2318yescomplemented
292C23×C4×C59C2312yescomplemented
293#123×C59C23116yescomplemented
294C22⋊Q8×C59C2318yescomplemented
295C22⋊Q8×C59C2318yescomplemented
296#121×C59C2318yescomplemented
297#121×C59C2318yescomplemented
298#120×C59C23116yescomplemented
299C4×D4×C59C23116yescomplemented
300C4×D4×C59C23116yescomplemented
301#117×C59C2318yescomplemented
302C2×C4⋊C4×C59C2312yescomplemented
303C2×C4⋊C4×C59C2311yescharacteristic, complemented
304C2×C4⋊C4×C59C2311yescharacteristic, complemented
305C2×C4⋊C4×C59C2312yescomplemented
306C2×C22⋊C4×C59C2312yes—
307C2×C22⋊C4×C59C2312yes—
308C2×C22⋊C4×C59C2312yes—
309C2×C22⋊C4×C59C2312yescomplemented
310C2×C22⋊C4×C59C2312yescomplemented
311C2×C42×C59C2312yescomplemented
312C24×C59—24no—
313C24×C59—24no—
314C24×C59—24no—
315C24×C59C2412yes—
316C24×C59C2414yes—
317C24×C59C2411yescharacteristic
318C24×C59C2411yescharacteristic
319C24×C59C2411yescharacteristic
320C23×D59—24no—
321C23×D59—28no—
322C23×D59—28no—
323C23×D59—28no—
324C23×D59—28no—
325C23×D59—232no—
326C23×D59—28no—
327C23×D59—42no—
328C23×D59—42no—
329C23×D59—44no—
330C23×D59—44no—
331C23×D59—42no—
332C23×D59—42no—
333C23×D59—416no—
334C23×D59—416no—
335C23×D59—44no—
336C23×D59—44no—
337C23×D59—464no—
338C23×D59#4118yescomplemented
339C23×D59C2412yes—
340C23×D59C2412yes—
341C23×D59C2418yes—
342C23×D59C2418yes—
343C23×D59C2412yes—
344C23×D59C2418yes—
345C23×D59C2414yes—
346C23×D59C2414yes—
347#41×C59—416no—
348C2×Q8×C59—42no—
349C2×Q8×C59C2414yescomplemented
350C2×D4×C59—28no—
351C2×D4×C59—28no—
352C2×D4×C59—28no—
353C2×D4×C59—42no—
354C2×D4×C59C2418yes—
355C2×D4×C59C2418yes—
356C2×D4×C59C2418yes—
357C2×D4×C59C2414yescomplemented
358C22×C4×C59—24no—
359C22×C4×C59—24no—
360C22×C4×C59—42no—
361C22×C4×C59—42no—
362C22×C4×C59—42no—
363C22×C4×C59—42no—
364C22×C4×C59—416no—
365C22×C4×C59—44no—
366C22×C4×C59C2411yescharacteristic
367C22×C4×C59C2412yes—
368C22×C4×C59C2412yes—
369C22×C4×C59C2412yes—
370C22×C4×C59C2411yescharacteristic
371C22×C4×C59C2411yescharacteristic
372C22×C4×C59C2411yescharacteristic
373C22×C4×C59C2414yes—
374C22×C4×C59C2414yes—
375C22×C4×C59C2414yes—
376C22×C4×C59C2414yes—
377C22×C4×C59C2414yes—
378C22×C4×C59C2414yes—
379C22×C4×C59C2418yescomplemented
380C2×C22⋊D59—28no—
381C2×C22⋊D59—28no—
382C2×C22⋊D59—28no—
383C2×C22⋊D59—28no—
384C2×C22⋊D59—44no—
385C2×C22⋊D59—44no—
386C2×C22⋊D59—44no—
387C2×C22⋊D59C2418yes—
388C2×C22⋊D59C2418yes—
389C2×C22⋊D59C2418yes—
390C2×C22⋊D59C2418yes—
391C2×C22⋊D59C2418yes—
392C2×C22⋊D59C2418yes—
393C2×C22⋊D59C2418yescomplemented
394C22×Dic59—28no—
395C22×Dic59—42no—
396C22×Dic59—44no—
397C22×Dic59—42no—
398C22×Dic59—416no—
399C22×Dic59—44no—
400C22×Dic59C2412yes—
401C22×Dic59C2412yes—
402C22×Dic59C2412yes—
403C22×Dic59C2412yes—
404C22×Dic59C2412yes—
405C22×Dic59C2418yes—
406C22×Dic59C2414yes—
407C22×Dic59C2414yes—
408C22×Dic59C2418yes—
409C22×Dic59C2418yescomplemented
410#11745687—432no—
411D4×D59—264no—
412D4×D59—432no—
413D4×D59—432no—
414#11745685—416no—
415C2×D236—28no—
416C2×D236—44no—
417C2×D236—44no—
418C2×D236—42no—
419C2×D236C2418yes—
420C2×D236C2418yes—
421C2×D236C2418yes—
422C2×D236C2414yescomplemented
423C2×C4×D59—28no—
424C2×C4×D59—44no—
425C2×C4×D59—44no—
426C2×C4×D59—44no—
427C2×C4×D59—44no—
428C2×C4×D59C2418yes—
429C2×C4×D59C2418yes—
430C2×C4×D59C2418yes—
431C2×C4×D59C2418yescomplemented
432C2×C4×D59C2418yescomplemented
433C2×Dic118—44no—
434C2×Dic118—42no—
435C2×Dic118C2418yescomplemented
436C2×Dic118C2414yescomplemented
437C4⋊C4×C59C2414yescomplemented
438C4⋊C4×C59C2414yescomplemented
439C4⋊C4×C59C2418yescomplemented
440C4⋊C4×C59C2418yescomplemented
441C22⋊C4×C59C2418yes—
442C22⋊C4×C59C2418yes—
443C22⋊C4×C59C2418yes—
444C22⋊C4×C59C2418yescomplemented
445C22⋊C4×C59C2418yescomplemented
446C42×C59C2418yescomplemented
447C22⋊Dic59C2418yes—
448C22⋊Dic59C2418yes—
449C22⋊Dic59C2418yes—
450C22⋊Dic59C2418yescomplemented
451C22⋊Dic59C2418yescomplemented
452(C2×D59)⋊C4C2418yes—
453(C2×D59)⋊C4C2418yes—
454(C2×D59)⋊C4C2418yes—
455(C2×D59)⋊C4C2418yes—
456(C2×D59)⋊C4C2418yes—
457(C2×D59)⋊C4C2418yes—
458(C2×D59)⋊C4C2418yes—
459(C2×D59)⋊C4C2418yes—
460(C2×D59)⋊C4C2418yes—
461(C2×D59)⋊C4C2418yes—
462(C2×D59)⋊C4C2418yes—
463(C2×D59)⋊C4C2418yes—
464(C2×D59)⋊C4C2418yes—
465(C2×D59)⋊C4C2418yes—
466(C2×D59)⋊C4C2418yescomplemented
467(C2×D59)⋊C4C2418yescomplemented
468(C2×D59)⋊C4C2418yescomplemented
469(C2×D59)⋊C4C2418yescomplemented
470C4⋊Dic59C2418yescomplemented
471C4⋊Dic59C2414yescomplemented
472C4⋊Dic59C2414yescomplemented
473C4⋊Dic59C2418yescomplemented
474Dic59⋊C4C2418yescomplemented
475Dic59⋊C4C2418yescomplemented
476Dic59⋊C4C2418yescomplemented
477Dic59⋊C4C2418yescomplemented
478Dic59⋊C4C2418yescomplemented
479Dic59⋊C4C2418yescomplemented
480C4×Dic59C2418yescomplemented
481C4×Dic59C2418yescomplemented
482C4×Dic59C2418yescomplemented
483C23×C59—232no—
484C23×C59—28no—
485C23×C59—22no—
486C23×C59—22no—
487C23×C59—28no—
488C23×C59—22no—
489C23×C59—22no—
490C23×C59—28no—
491C23×C59—22no—
492C23×C59—22no—
493C23×C59—24no—
494C23×C59—24no—
495C23×C59—24no—
496C23×C59C2×#4114yes—
497C23×C59H(5,𝔽2)14yes—
498C23×C59H(5,𝔽2)14yes—
499C23×C59C2514yes—
500C23×C59C2512yes—
501C23×C59C2512yes—
502C23×C59C2512yes—
503C23×C59C2511yescharacteristic
504C22×D59—24no—
505C22×D59—24no—
506C22×D59—24no—
507C22×D59—28no—
508C22×D59—24no—
509C22×D59—24no—
510C22×D59—24no—
511C22×D59—24no—
512C22×D59—24no—
513C22×D59—216no—
514C22×D59—216no—
515C22×D59—216no—
516C22×D59—216no—
517C22×D59—216no—
518C22×D59—416no—
519C22×D59—44no—
520C22×D59—44no—
521C22×D59—48no—
522C22×D59—48no—
523C22×D59—44no—
524C22×D59—44no—
525C22×D59—48no—
526C22×D59—48no—
527C22×D59—432no—
528C22×D59—432no—
529C22×D59—4128no—
530C22×D59—416no—
531C22×D59—816no—
532C22×D59C2×#4118yes—
533C22×D59C2×#41116yescomplemented
534C22×D59C2514yes—
535C22×D59C2514yes—
536C22×D59C2514yes—
537Q8×C59—44no—
538D4×C59—216no—
539D4×C59—216no—
540D4×C59—216no—
541D4×C59—44no—
542C2×C4×C59—24no—
543C2×C4×C59—24no—
544C2×C4×C59—22no—
545C2×C4×C59—22no—
546C2×C4×C59—24no—
547C2×C4×C59—28no—
548C2×C4×C59—22no—
549C2×C4×C59—22no—
550C2×C4×C59—28no—
551C2×C4×C59—44no—
552C2×C4×C59—44no—
553C2×C4×C59—44no—
554C2×C4×C59—44no—
555C2×C4×C59—48no—
556C2×C4×C59C2512yes—
557C2×C4×C59C2514yes—
558C2×C4×C59C2514yes—
559C2×C4×C59C2512yes—
560C2×C4×C59C2512yes—
561C2×C4×C59C2514yes—
562C2×C4×C59C2512yes—
563C22⋊D59—216no—
564C22⋊D59—216no—
565C22⋊D59—216no—
566C22⋊D59—216no—
567C22⋊D59—48no—
568C22⋊D59—48no—
569C22⋊D59—48no—
570C2×Dic59—24no—
571C2×Dic59—24no—
572C2×Dic59—24no—
573C2×Dic59—24no—
574C2×Dic59—24no—
575C2×Dic59—216no—
576C2×Dic59—48no—
577C2×Dic59—44no—
578C2×Dic59—48no—
579C2×Dic59—44no—
580C2×Dic59C2514yes—
581C2×Dic59C2514yes—
582C2×Dic59C2514yes—
583C2×Dic59C2514yes—
584C2×Dic59C2514yes—
585D236—216no—
586D236—48no—
587D236—48no—
588D236—44no—
589C4×D59—216no—
590C4×D59—48no—
591C4×D59—48no—
592C4×D59—48no—
593C4×D59—48no—
594Dic118—44no—
595Dic118—48no—
596C2×#3490—591nomaximal, Sylow
597C22×C59—232no—
598C22×C59—22no—
599C22×C59—22no—
600C22×C59—22no—
601C22×C59—22no—
602C22×C59—22no—
603C22×C59—22no—
604C22×C59—28no—
605C22×C59—28no—
606C22×C59—28no—
607C22×C59—24no—
608C22×C59—24no—
609C22×C59—24no—
610C22×C59—48no—
611C22×C59C22×#4114yes—
612C22×C59C22×#4112yes—
613C22×C59C2×H(5,𝔽2)14yes—
614C22×C59C2×H(5,𝔽2)12yes—
615C22×C59C2×H(5,𝔽2)14yes—
616C22×C59C2×H(5,𝔽2)12yes—
617C22×C59C2611yescharacteristic
618C2×D59—24no—
619C2×D59—24no—
620C2×D59—216no—
621C2×D59—24no—
622C2×D59—24no—
623C2×D59—24no—
624C2×D59—24no—
625C2×D59—24no—
626C2×D59—24no—
627C2×D59—416no—
628C2×D59—432no—
629C2×D59—432no—
630C2×D59—416no—
631C2×D59—48no—
632C2×D59—48no—
633C2×D59—816no—
634C2×D59C22×#4118yes—
635C4×C59—24no—
636C4×C59—24no—
637C4×C59—22no—
638C4×C59—22no—
639C4×C59—24no—
640C4×C59—22no—
641C4×C59—22no—
642Dic59—24no—
643Dic59—24no—
644Dic59—24no—
645Dic59—24no—
646Dic59—24no—
647#3490—5932no—
648C2×#551—592no—
649C2×#551—592no—
650C2×#551—592no—
651C2×#551—592no—
652C2×#546—592no—
653C2×#546—592no—
654C2×#546—592no—
655C2×#546—592no—
656C2×#543—591no—
657C2×#538—591no—
658C2×#538—591no—
659C2×#538—592no—
660C2×#534—591no—
661C2×#525—591no—
662C2×#525—592no—
663C2×#525D5911yescharacteristic, complemented
664C22×#120—592no—
665C2×#518—592no—
666C23×C22⋊C4—591no—
667C2×C59—24no—
668C2×C59—24no—
669C2×C59—24no—
670C2×C59—44no—
671C2×C59#349014yescomplemented
672C2×C59C23×#4111yescharacteristic
673C2×C59C22×H(5,𝔽2)11yescharacteristic
674C2×C59C22×H(5,𝔽2)11yescharacteristic
675D59—28no—
676D59—44no—
677D59—44no—
678C26—591no—
679C22×#41—592no—
680C22×#41—591no—
681C22×#41C2×D5911yescharacteristic, complemented
682C23×D4—592no—
683C23×D4—592no—
684C23×D4—592no—
685C24×C4—591no—
686C24×C4C2×D5911yescharacteristic, complemented
687#551—5932no—
688#551—5932no—
689#551—5932no—
690#551—5932no—
691#546—5932no—
692#546—5932no—
693#546—5932no—
694#546—5932no—
695#543—5916no—
696#538—5916no—
697#538—5916no—
698#538—5932no—
699#534—5916no—
700C2×#126—592no—
701C2×#126—592no—
702C2×#126—592no—
703C2×#126—592no—
704C2×#124—592no—
705C2×#124—592no—
706C2×#124—592no—
707C2×#124—592no—
708#525—5916no—
709#525—5932no—
710#525C2×D59116yescomplemented
711C2×#123—592no—
712C2×#123—592no—
713C2×#123—592no—
714C2×#123—592no—
715C2×#123—592no—
716C2×#123—592no—
717C2×#123—592no—
718C2×#123—592no—
719C2×#123—592no—
720C2×#123C2×D5912yescomplemented
721C2×C22⋊Q8—592no—
722C2×C22⋊Q8—591no—
723C2×C22⋊Q8—591no—
724C2×C22⋊Q8—592no—
725C2×C22⋊Q8—592no—
726C2×C22⋊Q8—592no—
727C2×C22⋊Q8—592no—
728C2×C22⋊Q8—592no—
729C2×C22⋊Q8C2×D5911yescharacteristic, complemented
730C2×C22⋊Q8C2×D5911yescharacteristic, complemented
731C2×#121—592no—
732C2×#121—592no—
733C2×#121—592no—
734C2×#121—591no—
735C2×#121—591no—
736C2×#121—592no—
737C2×#121—592no—
738C2×#121—592no—
739C2×#121C2×D5911yescharacteristic, complemented
740C2×#121C2×D5911yescharacteristic, complemented
741C2×#120—592no—
742C2×#120—592no—
743C2×#120—592no—
744C2×#120—592no—
745C2×#120—592no—
746C2×#120—5932no—
747C2×#120—592no—
748C2×#120—592no—
749C2×#120—592no—
750C2×#120—592no—
751C2×#120C2×D5912yescomplemented
752#518—5932no—
753C2×C4×D4—592no—
754C2×C4×D4—592no—
755C2×C4×D4—592no—
756C2×C4×D4—592no—
757C2×C4×D4—592no—
758C2×C4×D4—592no—
759C2×C4×D4—592no—
760C2×C4×D4—592no—
761C2×C4×D4—592no—
762C2×C4×D4—592no—
763C2×C4×D4C2×D5912yescomplemented
764C2×C4×D4C2×D5912yescomplemented
765C2×#117—591no—
766C2×#117—592no—
767C2×#117—592no—
768C2×#117—592no—
769C2×#117C2×D5911yescharacteristic, complemented
770C22×C22⋊C4—591no—
771C22×C22⋊C4—591no—
772C22×C22⋊C4—591no—
773C22×C22⋊C4—591no—
774C22×C22⋊C4—592no—
775C22×C22⋊C4—592no—
776C22×C22⋊C4—592no—
777C22×C22⋊C4—592no—
778C22×C22⋊C4—5916no—
779C22×C22⋊C4—592no—
780C22×C22⋊C4—592no—
781C22×C22⋊C4—592no—
782C22×C22⋊C4—592no—
783C22×C22⋊C4—592no—
784C59C2×#349011yescharacteristic, complemented, Sylow
785C25—591no—
786C25—592no—
787C25—592no—
788C25—598no—
789C25—591no—
790C25—592no—
791C25—1188no—
792C25—2364no—
793C25—2364no—
794C25C22×D5911yescharacteristic
795C2×#41—44no—
796C2×#41—5916no—
797C2×#41—598no—
798C2×#41—2364no—
799C2×#41—2368no—
800C2×#41C22×D5918yescomplemented
801C22×Q8—591no—
802C22×Q8—592no—
803C22×Q8C22×D5911yescharacteristic, complemented
804C22×D4—592no—
805C22×D4—592no—
806C22×D4—592no—
807C22×D4—592no—
808C22×D4—592no—
809C22×D4—592no—
810C22×D4—592no—
811C22×D4—5916no—
812C22×D4—5916no—
813C22×D4—5916no—
814C22×D4—592no—
815C22×D4—591no—
816C22×D4—592no—
817C22×D4—592no—
818C22×D4—11816no—
819C22×D4—2368no—
820C22×D4—2368no—
821C22×D4C22×D5912yes—
822C22×D4C22×D5912yes—
823C22×D4C22×D5912yes—
824C22×D4C22×D5911yescharacteristic, complemented
825C23×C4—44no—
826C23×C4—592no—
827C23×C4—591no—
828C23×C4—592no—
829C23×C4—591no—
830C23×C4—598no—
831C23×C4—592no—
832C23×C4—592no—
833C23×C4—592no—
834C23×C4—592no—
835C23×C4—592no—
836C23×C4—592no—
837C23×C4—2364no—
838C23×C4C22×D5911yescharacteristic
839C23×C4C22×D5911yescharacteristic
840C23×C4C22×D5911yescharacteristic
841C23×C4C22×D5911yescharacteristic
842C23×C4C22×D5911yescharacteristic
843C23×C4C22×D5911yescharacteristic
844C23×C4C22×D5918yescomplemented
845C23×C4C22×D5912yescomplemented
846#126—5916no—
847#126—5916no—
848#126—5916no—
849#126—5916no—
850#124—5916no—
851#124—5916no—
852#124—5916no—
853#124—5916no—
854#123—5916no—
855#123—5916no—
856#123—5916no—
857#123—5916no—
858#123—5916no—
859#123—5916no—
860#123—5916no—
861#123—5916no—
862#123—5916no—
863#123C22×D59116yescomplemented
864C22⋊Q8—5916no—
865C22⋊Q8—598no—
866C22⋊Q8—598no—
867C22⋊Q8—5916no—
868C22⋊Q8—5916no—
869C22⋊Q8—5916no—
870C22⋊Q8—5916no—
871C22⋊Q8—5916no—
872C22⋊Q8C22×D5918yescomplemented
873C22⋊Q8C22×D5918yescomplemented
874#121—5916no—
875#121—5916no—
876#121—5916no—
877#121—598no—
878#121—598no—
879#121—5916no—
880#121—5916no—
881#121—5916no—
882#121C22×D5918yescomplemented
883#121C22×D5918yescomplemented
884#120—5916no—
885#120—5916no—
886#120—5916no—
887#120—5916no—
888#120—5916no—
889#120—5916no—
890#120—5916no—
891#120—5916no—
892#120—5916no—
893#120C22×D59116yescomplemented
894C4×D4—5916no—
895C4×D4—5916no—
896C4×D4—5916no—
897C4×D4—5916no—
898C4×D4—5916no—
899C4×D4—5916no—
900C4×D4—5916no—
901C4×D4—5916no—
902C4×D4—5916no—
903C4×D4—5916no—
904C4×D4C22×D59116yescomplemented
905C4×D4C22×D59116yescomplemented
906#117—598no—
907#117—5916no—
908#117—5916no—
909#117—5916no—
910#117C22×D5918yescomplemented
911C2×C4⋊C4—592no—
912C2×C4⋊C4—592no—
913C2×C4⋊C4—592no—
914C2×C4⋊C4—592no—
915C2×C4⋊C4—591no—
916C2×C4⋊C4—592no—
917C2×C4⋊C4—591no—
918C2×C4⋊C4—592no—
919C2×C4⋊C4—592no—
920C2×C4⋊C4—592no—
921C2×C4⋊C4C22×D5912yescomplemented
922C2×C4⋊C4C22×D5911yescharacteristic, complemented
923C2×C4⋊C4C22×D5911yescharacteristic, complemented
924C2×C4⋊C4C22×D5912yescomplemented
925C2×C22⋊C4—592no—
926C2×C22⋊C4—592no—
927C2×C22⋊C4—592no—
928C2×C22⋊C4—592no—
929C2×C22⋊C4—592no—
930C2×C22⋊C4—592no—
931C2×C22⋊C4—592no—
932C2×C22⋊C4—598no—
933C2×C22⋊C4—592no—
934C2×C22⋊C4—592no—
935C2×C22⋊C4—592no—
936C2×C22⋊C4—592no—
937C2×C22⋊C4—592no—
938C2×C22⋊C4—592no—
939C2×C22⋊C4—598no—
940C2×C22⋊C4—598no—
941C2×C22⋊C4—598no—
942C2×C22⋊C4—5916no—
943C2×C22⋊C4—5916no—
944C2×C22⋊C4—5916no—
945C2×C22⋊C4—5916no—
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—5916no—
957C2×C22⋊C4—5916no—
958C2×C22⋊C4—5916no—
959C2×C22⋊C4—5916no—
960C2×C22⋊C4—5916no—
961C2×C22⋊C4C22×D5912yes—
962C2×C22⋊C4C22×D5912yes—
963C2×C22⋊C4C22×D5912yes—
964C2×C22⋊C4C22×D5912yescomplemented
965C2×C22⋊C4C22×D5912yescomplemented
966C2×C42—592no—
967C2×C42—592no—
968C2×C42—592no—
969C2×C42C22×D5912yescomplemented
970C24—24no—
971C24—24no—
972C24—24no—
973C24—592no—
974C24—598no—
975C24—594no—
976C24—592no—
977C24—592no—
978C24—598no—
979C24—598no—
980C24—594no—
981C24—598no—
982C24—1188no—
983C24—1188no—
984C24—1188no—
985C24—11832no—
986C24—1184no—
987C24—1188no—
988C24—1188no—
989C24—2364no—
990C24—2364no—
991C24—2362no—
992C24—2364no—
993C24—23616no—
994C24—2362no—
995C24—2362no—
996C24—2364no—
997C24—23616no—
998C24—2362no—
999C24—23664no—
1000C24C23×D5914yes—
1001C24C23×D5912yes—
1002C24C23×D5911yescharacteristic
1003C24C23×D5911yescharacteristic
1004C24C23×D5911yescharacteristic
1005#41—416no—
1006#41—23616no—
1007#41—23632no—
1008C2×Q8—42no—
1009C2×Q8—594no—
1010C2×Q8—598no—
1011C2×Q8—2362no—
1012C2×Q8—2364no—
1013C2×Q8C23×D5914yescomplemented
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—42no—
1018C2×D4—598no—
1019C2×D4—598no—
1020C2×D4—598no—
1021C2×D4—598no—
1022C2×D4—598no—
1023C2×D4—598no—
1024C2×D4—598no—
1025C2×D4—598no—
1026C2×D4—594no—
1027C2×D4—598no—
1028C2×D4—598no—
1029C2×D4—1188no—
1030C2×D4—11864no—
1031C2×D4—1188no—
1032C2×D4—1188no—
1033C2×D4—1188no—
1034C2×D4—1188no—
1035C2×D4—2364no—
1036C2×D4—2364no—
1037C2×D4—2362no—
1038C2×D4—2364no—
1039C2×D4—2364no—
1040C2×D4—2364no—
1041C2×D4—23632no—
1042C2×D4—23632no—
1043C2×D4C23×D5918yes—
1044C2×D4C23×D5918yes—
1045C2×D4C23×D5918yes—
1046C2×D4C23×D5914yescomplemented
1047C22×C4—24no—
1048C22×C4—24no—
1049C22×C4—42no—
1050C22×C4—42no—
1051C22×C4—42no—
1052C22×C4—42no—
1053C22×C4—416no—
1054C22×C4—44no—
1055C22×C4—598no—
1056C22×C4—592no—
1057C22×C4—592no—
1058C22×C4—592no—
1059C22×C4—592no—
1060C22×C4—592no—
1061C22×C4—594no—
1062C22×C4—598no—
1063C22×C4—594no—
1064C22×C4—598no—
1065C22×C4—598no—
1066C22×C4—598no—
1067C22×C4—598no—
1068C22×C4—598no—
1069C22×C4—598no—
1070C22×C4—1188no—
1071C22×C4—1188no—
1072C22×C4—2364no—
1073C22×C4—2364no—
1074C22×C4—2364no—
1075C22×C4—2364no—
1076C22×C4—2362no—
1077C22×C4—2364no—
1078C22×C4—2362no—
1079C22×C4—23616no—
1080C22×C4—2364no—
1081C22×C4C23×D5914yes—
1082C22×C4C23×D5914yes—
1083C22×C4C23×D5911yescharacteristic
1084C22×C4C23×D5912yes—
1085C22×C4C23×D5912yes—
1086C22×C4C23×D5911yescharacteristic
1087C22×C4C23×D5912yes—
1088C22×C4C23×D5911yescharacteristic
1089C22×C4C23×D5911yescharacteristic
1090C22×C4C23×D5914yes—
1091C22×C4C23×D5914yes—
1092C22×C4C23×D5914yes—
1093C22×C4C23×D5914yes—
1094C22×C4C23×D5918yescomplemented
1095C4⋊C4—598no—
1096C4⋊C4—598no—
1097C4⋊C4—598no—
1098C4⋊C4—598no—
1099C4⋊C4—594no—
1100C4⋊C4—598no—
1101C4⋊C4—594no—
1102C4⋊C4—598no—
1103C4⋊C4—598no—
1104C4⋊C4—598no—
1105C4⋊C4C23×D5918yescomplemented
1106C4⋊C4C23×D5914yescomplemented
1107C4⋊C4C23×D5914yescomplemented
1108C4⋊C4C23×D5918yescomplemented
1109C22⋊C4—598no—
1110C22⋊C4—598no—
1111C22⋊C4—598no—
1112C22⋊C4—598no—
1113C22⋊C4—598no—
1114C22⋊C4—598no—
1115C22⋊C4—598no—
1116C22⋊C4—598no—
1117C22⋊C4—598no—
1118C22⋊C4—598no—
1119C22⋊C4—598no—
1120C22⋊C4—598no—
1121C22⋊C4—598no—
1122C22⋊C4—598no—
1123C22⋊C4—598no—
1124C22⋊C4—598no—
1125C22⋊C4—598no—
1126C22⋊C4—598no—
1127C22⋊C4—598no—
1128C22⋊C4—598no—
1129C22⋊C4—598no—
1130C22⋊C4—598no—
1131C22⋊C4—598no—
1132C22⋊C4C23×D5918yes—
1133C22⋊C4C23×D5918yes—
1134C22⋊C4C23×D5918yes—
1135C22⋊C4C23×D5918yescomplemented
1136C22⋊C4C23×D5918yescomplemented
1137C42—598no—
1138C42—598no—
1139C42—598no—
1140C42C23×D5918yescomplemented
1141C23—232no—
1142C23—28no—
1143C23—22no—
1144C23—22no—
1145C23—28no—
1146C23—22no—
1147C23—22no—
1148C23—28no—
1149C23—22no—
1150C23—22no—
1151C23—24no—
1152C23—24no—
1153C23—24no—
1154C23—598no—
1155C23—594no—
1156C23—5916no—
1157C23—594no—
1158C23—594no—
1159C23—11816no—
1160C23—11816no—
1161C23—11816no—
1162C23—1184no—
1163C23—1184no—
1164C23—1184no—
1165C23—1188no—
1166C23—1184no—
1167C23—1184no—
1168C23—11816no—
1169C23—1184no—
1170C23—1184no—
1171C23—11816no—
1172C23—1184no—
1173C23—47216no—
1174C23—2368no—
1175C23—2368no—
1176C23—23616no—
1177C23—2364no—
1178C23—2368no—
1179C23—2364no—
1180C23—2364no—
1181C23—2368no—
1182C23—2364no—
1183C23—23632no—
1184C23—23632no—
1185C23—236128no—
1186C23—23616no—
1187C23#41×D5914yes—
1188C23#1427377214yes—
1189C23#1427377314yes—
1190C23C24×D5914yes—
1191C23C24×D5912yes—
1192C23C24×D5912yes—
1193C23C24×D5912yes—
1194C23C24×D5911yescharacteristic
1195Q8—44no—
1196Q8—2364no—
1197Q8—2368no—
1198D4—216no—
1199D4—216no—
1200D4—216no—
1201D4—44no—
1202D4—11816no—
1203D4—11816no—
1204D4—11816no—
1205D4—11816no—
1206D4—11816no—
1207D4—2368no—
1208D4—2368no—
1209D4—2364no—
1210D4—2368no—
1211D4—2368no—
1212D4—2368no—
1213C2×C4—24no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
1218C2×C4—28no—
1219C2×C4—28no—
1220C2×C4—24no—
1221C2×C4—24no—
1222C2×C4—44no—
1223C2×C4—44no—
1224C2×C4—44no—
1225C2×C4—44no—
1226C2×C4—48no—
1227C2×C4—594no—
1228C2×C4—594no—
1229C2×C4—594no—
1230C2×C4—594no—
1231C2×C4—594no—
1232C2×C4—11816no—
1233C2×C4—1184no—
1234C2×C4—1184no—
1235C2×C4—1184no—
1236C2×C4—1184no—
1237C2×C4—11816no—
1238C2×C4—1184no—
1239C2×C4—2368no—
1240C2×C4—2368no—
1241C2×C4—2368no—
1242C2×C4—2368no—
1243C2×C4—2364no—
1244C2×C4—2368no—
1245C2×C4—2364no—
1246C2×C4—2368no—
1247C2×C4C24×D5912yes—
1248C2×C4C24×D5914yes—
1249C2×C4C24×D5914yes—
1250C2×C4C24×D5912yes—
1251C2×C4C24×D5914yes—
1252C2×C4C24×D5912yes—
1253C2×C4C24×D5912yes—
1254C22—232no—
1255C22—28no—
1256C22—28no—
1257C22—28no—
1258C22—22no—
1259C22—22no—
1260C22—22no—
1261C22—22no—
1262C22—22no—
1263C22—22no—
1264C22—24no—
1265C22—24no—
1266C22—24no—
1267C22—48no—
1268C22—598no—
1269C22—11816no—
1270C22—1184no—
1271C22—1184no—
1272C22—1184no—
1273C22—1184no—
1274C22—1184no—
1275C22—1184no—
1276C22—1184no—
1277C22—1184no—
1278C22—47216no—
1279C22—23616no—
1280C22—23632no—
1281C22—23632no—
1282C22—23616no—
1283C22—2368no—
1284C22—2368no—
1285C22C2×#41×D5914yes—
1286C22C2×#41×D5912yes—
1287C22C2×#1427377214yes—
1288C22C2×#1427377212yes—
1289C22C2×#1427377314yes—
1290C22C2×#1427377312yes—
1291C22C25×D5911yescharacteristic
1292C4—24no—
1293C4—22no—
1294C4—22no—
1295C4—22no—
1296C4—22no—
1297C4—24no—
1298C4—24no—
1299C4—1184no—
1300C4—1184no—
1301C4—1184no—
1302C4—1184no—
1303C4—1184no—
1304C2—24no—
1305C2—24no—
1306C2—24no—
1307C2—44no—
1308C2—1188no—
1309C2—2364no—
1310C2—2364no—
1311C2#2143777914yesdirect product factor
1312C2C22×#41×D5911yescharacteristic
1313C2C22×#1427377211yescharacteristic
1314C2C22×#1427377311yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#525C2
socleC23×C59C25
hypercenterC2×#525D59
hypocenterC59C2×#3490
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #21437779C2direct (N × H)
2. C2×#16838081C2semidirect
3. C2×#16838079C2semidirect
4. C2×#16838076C2semidirect
5. C2×#16838075C2semidirect
6. C2×#16838047C2semidirect
7. C2×#16838044C2semidirect
8. C2×#16838041C2semidirect
9. C2×#16838040C2semidirect
10. C2×#16838027C2semidirect
11. C2×#16837992C2semidirect
12. C2×#16837989C2semidirect
13. C2×#16837985C2semidirect
14. C2×#16837960C2semidirect
15. C2×#16837913C2semidirect
16. C2×#16837908C2semidirect
17. C2×#120×D59C2semidirect
18. C2×#16837874C2semidirect
19. C23×(C2×D59)⋊C4C2semidirect
20. C2×C59×#525C2semidirect
22. C22×#11745685C22semidirect
23. C22×#11745687C22semidirect
25. C22×D4×D59C22semidirect
26. C22×D4×D59C22semidirect
27. C24×Dic59C22semidirect
28. #16838081C22semidirect
29. #16838079C22semidirect
30. #16838076C22semidirect
31. #16838075C22semidirect
32. #16838047C22semidirect
33. #16838044C22semidirect
34. #16838041C22semidirect
35. #16838040C22semidirect
36. #16838027C22semidirect
37. #16837992C22semidirect
38. #16837989C22semidirect
39. #16837985C22semidirect
40. #16837960C22semidirect
41. C2×#14273722C22semidirect
42. C2×#14273722C22semidirect
43. C2×#14273722C22semidirect
44. C2×#14273721C22semidirect
45. C2×#14273716C22semidirect
46. C2×#14273715C22semidirect
47. C2×#14273713C22semidirect
48. C2×#14273713C22semidirect
49. #16837913C22semidirect
50. #16837908C22semidirect
51. C2×#14273712C22semidirect
52. C2×#14273712C22semidirect
53. C2×#14273712C22semidirect
54. C2×#14273711C22semidirect
55. C2×#14273711C22semidirect
56. C2×#14273710C22semidirect
57. C2×#14273710C22semidirect
58. C2×#14273709C22semidirect
59. C2×#14273708C22semidirect
60. C2×#14273707C22semidirect
61. C2×#14273706C22semidirect
62. C2×#14273706C22semidirect
63. C2×#14273705C22semidirect
64. C2×#14273705C22semidirect
65. C2×#14273704C22semidirect
66. C2×#14273704C22semidirect
67. C2×#14273703C22semidirect
68. C2×#14273702C22semidirect
69. C2×#14273701C22semidirect
70. C2×#14273701C22semidirect
71. C2×#14273701C22semidirect
72. C2×#14273700C22semidirect
73. C2×#14273699C22semidirect
74. C2×#14273699C22semidirect
75. C2×#14273699C22semidirect
78. C2×#14273697C22semidirect
79. C2×#14273697C22semidirect
80. C2×#14273696C22semidirect
83. C2×#14273695C22semidirect
84. C2×#14273695C22semidirect
85. #120×D59C22semidirect
86. #16837874C22semidirect
87. C2×C4×D236C22semidirect
88. C2×D4×Dic59C22semidirect
89. C2×D4×Dic59C22semidirect
90. C2×#14273689C22semidirect
91. C2×C4×C22⋊D59C22semidirect
92. C2×C4×C22⋊D59C22semidirect
93. C2×C4×C22⋊D59C22semidirect
94. C2×(C22⋊D59)⋊C4C22semidirect
95. C2×(C22⋊D59)⋊C4C22semidirect
96. C2×(C22⋊D59)⋊C4C22semidirect
97. C2×#14273686C22semidirect
98. C2×#14273685C22semidirect
99. C2×#14273684C22semidirect
100. C2×#14273683C22semidirect
103. C22×(C2×D59)⋊C4C22semidirect
104. C22×(C2×D59)⋊C4C22semidirect
105. C22×(C2×D59)⋊C4C22semidirect
106. C22×(C2×D59)⋊C4C22semidirect
107. C22×(C2×D59)⋊C4C22semidirect
108. C22×(C2×D59)⋊C4C22semidirect
109. C22×(C2×D59)⋊C4C22semidirect
110. C22×(C2×D59)⋊C4C22semidirect
112. C2×C22⋊C4×D59C22semidirect
113. C2×C22⋊C4×D59C22semidirect
114. C2×C22⋊C4×D59C22semidirect
115. C22×#41×C59C22semidirect
116. C24×C4×C59C22semidirect
117. C59×#525C22semidirect
118. C2×#123×C59C22semidirect
119. C2×C22⋊Q8×C59C22semidirect
120. C2×C22⋊Q8×C59C22semidirect
121. C2×#121×C59C22semidirect
122. C2×#121×C59C22semidirect
123. C2×#120×C59C22semidirect
124. C2×C4×D4×C59C22semidirect
125. C2×C4×D4×C59C22semidirect
126. C2×#117×C59C22semidirect
137. C2×#11745685C23semidirect
139. C2×#11745687C23semidirect
140. C22×Dic118C23semidirect
141. C22×Dic118C23semidirect
145. C22×D236C23semidirect
152. C22×C22⋊D59C23semidirect
157. C2×D4×D59C23semidirect
158. C2×D4×D59C23semidirect
164. C23×Dic59C23semidirect
165. C23×Dic59C23semidirect
169. C22×C4×D59C23semidirect
170. C22×C4×D59C23semidirect
171. #14273722C23semidirect
172. #14273722C23semidirect
173. #14273722C23semidirect
174. #14273721C23semidirect
175. #14273716C23semidirect
176. #14273715C23semidirect
177. #14273713C23semidirect
178. #14273713C23semidirect
179. #14273712C23semidirect
180. #14273712C23semidirect
181. #14273712C23semidirect
182. #14273711C23semidirect
183. #14273711C23semidirect
184. #14273710C23semidirect
185. #14273710C23semidirect
186. #14273709C23semidirect
187. #14273708C23semidirect
188. #14273707C23semidirect
189. #14273706C23semidirect
190. #14273706C23semidirect
191. #14273705C23semidirect
192. #14273705C23semidirect
193. #14273704C23semidirect
194. #14273704C23semidirect
195. #14273703C23semidirect
196. #14273702C23semidirect
197. #14273701C23semidirect
198. #14273701C23semidirect
199. #14273701C23semidirect
200. #14273700C23semidirect
201. #14273699C23semidirect
202. #14273699C23semidirect
203. #14273699C23semidirect
206. #14273697C23semidirect
207. #14273697C23semidirect
208. #14273696C23semidirect
211. #14273695C23semidirect
212. #14273695C23semidirect
213. C4×D236C23semidirect
214. D4×Dic59C23semidirect
215. D4×Dic59C23semidirect
216. #14273689C23semidirect
217. C4×C22⋊D59C23semidirect
218. C4×C22⋊D59C23semidirect
219. C4×C22⋊D59C23semidirect
220. (C22⋊D59)⋊C4C23semidirect
221. (C22⋊D59)⋊C4C23semidirect
222. (C22⋊D59)⋊C4C23semidirect
223. #14273686C23semidirect
224. #14273685C23semidirect
225. #14273684C23semidirect
226. #14273683C23semidirect
227. C2×C4⋊Dic59C23semidirect
228. C2×C4⋊Dic59C23semidirect
229. C2×C4⋊Dic59C23semidirect
230. C2×C4⋊Dic59C23semidirect
231. C2×Dic59⋊C4C23semidirect
232. C2×Dic59⋊C4C23semidirect
233. C2×Dic59⋊C4C23semidirect
234. C2×Dic59⋊C4C23semidirect
235. C2×Dic59⋊C4C23semidirect
236. C2×Dic59⋊C4C23semidirect
240. C2×C22⋊Dic59C23semidirect
241. C2×C22⋊Dic59C23semidirect
258. C2×(C2×D59)⋊C4C23semidirect
259. C2×(C2×D59)⋊C4C23semidirect
260. C2×(C2×D59)⋊C4C23semidirect
261. C2×(C2×D59)⋊C4C23semidirect
262. C2×(C2×D59)⋊C4C23semidirect
263. C2×(C2×D59)⋊C4C23semidirect
264. C2×(C2×D59)⋊C4C23semidirect
265. C2×(C2×D59)⋊C4C23semidirect
266. C2×(C2×D59)⋊C4C23semidirect
267. C2×(C2×D59)⋊C4C23semidirect
268. C2×(C2×D59)⋊C4C23semidirect
270. C22⋊C4×D59C23semidirect
271. C22⋊C4×D59C23semidirect
272. C22⋊C4×D59C23semidirect
273. C2×C4×Dic59C23semidirect
274. C2×C4×Dic59C23semidirect
275. C2×C4×Dic59C23semidirect
278. C2×#41×C59C23semidirect
279. C22×Q8×C59C23semidirect
283. C22×D4×C59C23semidirect
291. C23×C4×C59C23semidirect
292. C23×C4×C59C23semidirect
293. #123×C59C23semidirect
294. C22⋊Q8×C59C23semidirect
295. C22⋊Q8×C59C23semidirect
296. #121×C59C23semidirect
297. #121×C59C23semidirect
298. #120×C59C23semidirect
299. C4×D4×C59C23semidirect
300. C4×D4×C59C23semidirect
301. #117×C59C23semidirect
302. C2×C4⋊C4×C59C23semidirect
303. C2×C4⋊C4×C59C23semidirect
304. C2×C4⋊C4×C59C23semidirect
305. C2×C4⋊C4×C59C23semidirect
309. C2×C22⋊C4×C59C23semidirect
310. C2×C22⋊C4×C59C23semidirect
311. C2×C42×C59C23semidirect
338. C23×D59#41semidirect
349. C2×Q8×C59C24semidirect
357. C2×D4×C59C24semidirect
379. C22×C4×C59C24semidirect
393. C2×C22⋊D59C24semidirect
409. C22×Dic59C24semidirect
422. C2×D236C24semidirect
431. C2×C4×D59C24semidirect
432. C2×C4×D59C24semidirect
435. C2×Dic118C24semidirect
436. C2×Dic118C24semidirect
437. C4⋊C4×C59C24semidirect
438. C4⋊C4×C59C24semidirect
439. C4⋊C4×C59C24semidirect
440. C4⋊C4×C59C24semidirect
444. C22⋊C4×C59C24semidirect
445. C22⋊C4×C59C24semidirect
446. C42×C59C24semidirect
450. C22⋊Dic59C24semidirect
451. C22⋊Dic59C24semidirect
466. (C2×D59)⋊C4C24semidirect
467. (C2×D59)⋊C4C24semidirect
468. (C2×D59)⋊C4C24semidirect
469. (C2×D59)⋊C4C24semidirect
470. C4⋊Dic59C24semidirect
471. C4⋊Dic59C24semidirect
472. C4⋊Dic59C24semidirect
473. C4⋊Dic59C24semidirect
474. Dic59⋊C4C24semidirect
475. Dic59⋊C4C24semidirect
476. Dic59⋊C4C24semidirect
477. Dic59⋊C4C24semidirect
478. Dic59⋊C4C24semidirect
479. Dic59⋊C4C24semidirect
480. C4×Dic59C24semidirect
481. C4×Dic59C24semidirect
482. C4×Dic59C24semidirect
533. C22×D59C2×#41semidirect
663. C2×#525D59semidirect
671. C2×C59#3490semidirect
681. C22×#41C2×D59semidirect
686. C24×C4C2×D59semidirect
710. #525C2×D59semidirect
720. C2×#123C2×D59semidirect
729. C2×C22⋊Q8C2×D59semidirect
730. C2×C22⋊Q8C2×D59semidirect
739. C2×#121C2×D59semidirect
740. C2×#121C2×D59semidirect
751. C2×#120C2×D59semidirect
763. C2×C4×D4C2×D59semidirect
764. C2×C4×D4C2×D59semidirect
769. C2×#117C2×D59semidirect
784. C59C2×#3490semidirect
800. C2×#41C22×D59semidirect
803. C22×Q8C22×D59semidirect
824. C22×D4C22×D59semidirect
844. C23×C4C22×D59semidirect
845. C23×C4C22×D59semidirect
863. #123C22×D59semidirect
872. C22⋊Q8C22×D59semidirect
873. C22⋊Q8C22×D59semidirect
882. #121C22×D59semidirect
883. #121C22×D59semidirect
893. #120C22×D59semidirect
904. C4×D4C22×D59semidirect
905. C4×D4C22×D59semidirect
910. #117C22×D59semidirect
921. C2×C4⋊C4C22×D59semidirect
922. C2×C4⋊C4C22×D59semidirect
923. C2×C4⋊C4C22×D59semidirect
924. C2×C4⋊C4C22×D59semidirect
964. C2×C22⋊C4C22×D59semidirect
965. C2×C22⋊C4C22×D59semidirect
969. C2×C42C22×D59semidirect
1013. C2×Q8C23×D59semidirect
1046. C2×D4C23×D59semidirect
1094. C22×C4C23×D59semidirect
1105. C4⋊C4C23×D59semidirect
1106. C4⋊C4C23×D59semidirect
1107. C4⋊C4C23×D59semidirect
1108. C4⋊C4C23×D59semidirect
1135. C22⋊C4C23×D59semidirect
1136. C22⋊C4C23×D59semidirect
1140. C42C23×D59semidirect
1311. C2#21437779direct (N × H)

Maximal subgroups

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

subgroupindex
#214377792
C2×#168380812
C2×#168380792
C2×#168380762
C2×#168380752
C2×#168380472
C2×#168380442
C2×#168380412
C2×#168380402
C2×#168380272
C2×#168379922
C2×#168379892
C2×#168379852
C2×#168379602
C2×#168379132
C2×#168379082
C2×#120×D592
C2×#168378742
C23×(C2×D59)⋊C42
C2×C59×#5252
C2×#349059