Finite Group Databasebeta

← D59×#2456 #28756193

Subgroups — D59×#2456 #28756193

Order 15104.

4282 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D59C211yesmaximal, characteristic, complemented
2C2×#121×D59C211yesmaximal, characteristic, complemented
3C2×C4×D4×D59C211yesmaximal, characteristic, complemented
4C2×C4×D4×D59C211yesmaximal, characteristic, complemented
5#21427995C211yesmaximal, characteristic, complemented
6#21427994C211yesmaximal, characteristic, complemented
7#21427993C211yesmaximal, characteristic, complemented
8#21427992C211yesmaximal, characteristic, complemented
9#21427991C211yesmaximal, characteristic, complemented
10#21427990C211yesmaximal, characteristic, complemented
11#21427989C211yesmaximal, characteristic, complemented
12#21427988C211yesmaximal, characteristic, complemented
13#21427987C211yesmaximal, characteristic, complemented
14#21427986C211yesmaximal, characteristic, complemented
15#21427985C211yesmaximal, characteristic, complemented
16#21427984C211yesmaximal, characteristic, complemented
17#21427983C211yesmaximal, characteristic, complemented
18#21427982C211yesmaximal, characteristic, complemented
19#21427981C211yesmaximal, characteristic, complemented
20#396×D59C211yesmaximal, characteristic, complemented
21#392×D59C211yesmaximal, characteristic, complemented
22#392×D59C211yesmaximal, characteristic, complemented
23#392×D59C211yesmaximal, characteristic, complemented
24#390×D59C211yesmaximal, characteristic, complemented
25#388×D59C211yesmaximal, characteristic, complemented
26#388×D59C211yesmaximal, characteristic, complemented
27#387×D59C211yesmaximal, characteristic, complemented
28#386×D59C211yesmaximal, characteristic, complemented
29#386×D59C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2456C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C22×D4×D59C2211yescharacteristic
36C22×D4×D59C2211yescharacteristic
37C22×D4×D59C2211yescharacteristic
38C23×C4×D59C2211yescharacteristic
39C23×C4×D59C2211yescharacteristic
40C23×C4×D59C2211yescharacteristic
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273711C2211yescharacteristic, complemented
44C2×#14273710C2211yescharacteristic, complemented
45C2×#14273709C2211yescharacteristic, complemented
46C2×#14273709C2211yescharacteristic, complemented
47C2×#14273708C2211yescharacteristic, complemented
48#123×D59—28no—
49C2×#14273702C2211yescharacteristic, complemented
50C2×#14273701C2211yescharacteristic, complemented
51C2×#14273700C2211yescharacteristic, complemented
52C2×#14273700C2211yescharacteristic, complemented
53C2×#14273699C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic, complemented
55C2×#14273698C2211yescharacteristic, complemented
56#121×D59—28no—
57C2×C4×D236C2211yescharacteristic, complemented
58C2×C4×D236C2211yescharacteristic, complemented
59C2×D4×Dic59C2211yescharacteristic, complemented
60C2×D4×Dic59C2211yescharacteristic, complemented
61C2×#14273689C2211yescharacteristic, complemented
62C2×#14273689C2211yescharacteristic, complemented
63C2×C4×C22⋊D59C2211yescharacteristic, complemented
64C2×C4×C22⋊D59C2211yescharacteristic, complemented
65C2×C4×C22⋊D59C2211yescharacteristic, complemented
66C2×C4×C22⋊D59C2211yescharacteristic, complemented
67C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
68C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
69C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
70C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
71C4×D4×D59—28no—
72C4×D4×D59—28no—
73C2×C4⋊C4×D59C2211yescharacteristic
74C2×C4⋊C4×D59C2211yescharacteristic
75C2×C4⋊C4×D59C2211yescharacteristic
76C2×C4⋊C4×D59C2211yescharacteristic
77C2×C4⋊C4×D59C2211yescharacteristic
78C2×C22⋊C4×D59C2211yescharacteristic
79C2×C22⋊C4×D59C2211yescharacteristic
80C2×C22⋊C4×D59C2211yescharacteristic
81C2×C22⋊C4×D59C2211yescharacteristic
82C2×C22⋊C4×D59C2211yescharacteristic
83C2×C22⋊C4×D59C2211yescharacteristic
84C2×C22⋊C4×D59C2211yescharacteristic
85C2×C22⋊C4×D59C2211yescharacteristic
86C2×C22⋊C4×D59C2211yescharacteristic
87C2×C22⋊C4×D59C2211yescharacteristic
88C2×C22⋊C4×D59C2211yescharacteristic
89C2×C22⋊C4×D59C2211yescharacteristic
90C2×C22⋊C4×D59C2211yescharacteristic
91C2×C42×D59C2211yescharacteristic
92C2×C42×D59C2211yescharacteristic
93#16837326C2211yescharacteristic, complemented
94#16837325C2211yescharacteristic, complemented
95#16837325C2211yescharacteristic, complemented
96#16837325C2211yescharacteristic, complemented
97#16837324C2211yescharacteristic, complemented
98#16837324C2211yescharacteristic, complemented
99#16837324C2211yescharacteristic, complemented
100#16837312C2211yescharacteristic, complemented
101#16837312C2211yescharacteristic, complemented
102#16837312C2211yescharacteristic, complemented
103#16837311C2211yescharacteristic, complemented
104#16837311C2211yescharacteristic, complemented
105#16837311C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic, complemented
107#16837311C2211yescharacteristic, complemented
108#16837311C2211yescharacteristic, complemented
109#16837311C2211yescharacteristic, complemented
110#16837311C2211yescharacteristic, complemented
111#16837311C2211yescharacteristic, complemented
112#16837310C2211yescharacteristic, complemented
113#16837310C2211yescharacteristic, complemented
114#16837310C2211yescharacteristic, complemented
115#16837310C2211yescharacteristic, complemented
116#16837310C2211yescharacteristic, complemented
117#16837310C2211yescharacteristic, complemented
118#16837310C2211yescharacteristic, complemented
119#16837310C2211yescharacteristic, complemented
120#16837310C2211yescharacteristic, complemented
121#16837305C2211yescharacteristic, complemented
122#16837304C2211yescharacteristic, complemented
123#16837303C2211yescharacteristic, complemented
124#16837302C2211yescharacteristic, complemented
125#16837302C2211yescharacteristic, complemented
126#16837302C2211yescharacteristic, complemented
127#16837302C2211yescharacteristic, complemented
128#16837296C2211yescharacteristic, complemented
129#16837296C2211yescharacteristic, complemented
130#16837295C2211yescharacteristic, complemented
131#16837295C2211yescharacteristic, complemented
132#16837294C2211yescharacteristic, complemented
133#16837294C2211yescharacteristic, complemented
134#16837293C2211yescharacteristic, complemented
135#16837293C2211yescharacteristic, complemented
136#16837292C2211yescharacteristic, complemented
137#16837292C2211yescharacteristic, complemented
138#16837291C2211yescharacteristic, complemented
139#16837291C2211yescharacteristic, complemented
140#16837290C2211yescharacteristic, complemented
141#16837290C2211yescharacteristic, complemented
142#16837289C2211yescharacteristic, complemented
143#16837288C2211yescharacteristic, complemented
144#16837287C2211yescharacteristic, complemented
145#16837286C2211yescharacteristic, complemented
146#16837285C2211yescharacteristic, complemented
147#16837284C2211yescharacteristic, complemented
148#16837283C2211yescharacteristic, complemented
149#16837282C2211yescharacteristic, complemented
150#16837282C2211yescharacteristic, complemented
151#16837281C2211yescharacteristic, complemented
152#16837281C2211yescharacteristic, complemented
153#16837280C2211yescharacteristic, complemented
154#16837280C2211yescharacteristic, complemented
155#16837280C2211yescharacteristic, complemented
156#16837280C2211yescharacteristic, complemented
157#16837279C2211yescharacteristic, complemented
158#16837279C2211yescharacteristic, complemented
159#16837278C2211yescharacteristic, complemented
160#16837278C2211yescharacteristic, complemented
161#16837278C2211yescharacteristic, complemented
162#16837278C2211yescharacteristic, complemented
163#16837277C2211yescharacteristic, complemented
164#16837276C2211yescharacteristic, complemented
165#16837276C2211yescharacteristic, complemented
166#16837275C2211yescharacteristic, complemented
167#16837274C2211yescharacteristic, complemented
168#16837273C2211yescharacteristic, complemented
169#16837273C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173#95×D59C2211yescharacteristic
174#95×D59C2211yescharacteristic
175#95×D59C2211yescharacteristic
176C2×#123×C59C2211yescharacteristic, complemented
177C2×#121×C59C2211yescharacteristic, complemented
178C2×C4×D4×C59C2211yescharacteristic, complemented
179C2×C4×D4×C59C2211yescharacteristic, complemented
180C59×#396C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic, complemented
182C59×#392C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#387C2211yescharacteristic, complemented
188C59×#386C2211yescharacteristic, complemented
189C59×#386C2211yescharacteristic, complemented
190C59×#385C2211yescharacteristic, complemented
191C24×D59C2311yescharacteristic
192C24×D59C2311yescharacteristic
193C24×D59C2311yescharacteristic
194C24×D59C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C2×D4×D59—24no—
214C2×D4×D59—24no—
215C2×D4×D59—24no—
216C2×D4×D59—24no—
217C2×D4×D59—24no—
218C2×D4×D59—24no—
219C2×D4×D59—24no—
220C2×D4×D59—24no—
221C2×D4×D59—24no—
222C2×D4×D59—24no—
223C2×D4×D59—24no—
224C2×D4×D59—24no—
225C2×D4×D59—24no—
226C2×D4×D59—42no—
227C2×D4×D59—42no—
228C2×D4×D59—42no—
229C2×D4×D59—42no—
230C2×D4×D59—42no—
231C23×Dic59C2311yescharacteristic
232C23×Dic59C2311yescharacteristic
233C23×Dic59C2311yescharacteristic
234C22×C4×D59—24no—
235C22×C4×D59—24no—
236C22×C4×D59—24no—
237C22×C4×D59—24no—
238C22×C4×D59—24no—
239C22×C4×D59—24no—
240C22×C4×D59—42no—
241C22×C4×D59—42no—
242C22×C4×D59—42no—
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2311yescharacteristic
245C22×C4×D59C2311yescharacteristic
246C22×C4×D59C2311yescharacteristic
247C22×C4×D59C2311yescharacteristic
248C22×C4×D59C2311yescharacteristic
249C22×C4×D59C2311yescharacteristic
250C22×C4×D59C2311yescharacteristic
251C22×C4×D59C2311yescharacteristic
252C22×C4×D59C2311yescharacteristic
253C22×C4×D59C2311yescharacteristic
254C22×C4×D59C2311yescharacteristic
255C22×C4×D59C2311yescharacteristic
256C22×C4×D59C2311yescharacteristic
257C22×C4×D59C2311yescharacteristic
258C22×C4×D59C2311yescharacteristic
259C22×C4×D59C2311yescharacteristic
260#14273712—24no—
261#14273712—24no—
262#14273711—24no—
263#14273710—24no—
264#14273709—24no—
265#14273709—24no—
266#14273708—24no—
267#14273702—24no—
268#14273701—24no—
269#14273700—24no—
270#14273700—24no—
271#14273699—24no—
272#14273699—24no—
273#14273698—24no—
274C4×D236—24no—
275C4×D236—24no—
276D4×Dic59—24no—
277D4×Dic59—24no—
278#14273689—24no—
279#14273689—24no—
280C4×C22⋊D59—24no—
281C4×C22⋊D59—24no—
282C4×C22⋊D59—24no—
283C4×C22⋊D59—24no—
284(C22⋊D59)⋊C4—24no—
285(C22⋊D59)⋊C4—24no—
286(C22⋊D59)⋊C4—24no—
287(C22⋊D59)⋊C4—24no—
288C2×C4⋊Dic59C2311yescharacteristic
289C2×C4⋊Dic59C2311yescharacteristic
290C2×C4⋊Dic59C2311yescharacteristic
291C2×C4⋊Dic59C2311yescharacteristic
292C2×C4⋊Dic59C2311yescharacteristic
293C2×Dic59⋊C4C2311yescharacteristic
294C2×Dic59⋊C4C2311yescharacteristic
295C2×Dic59⋊C4C2311yescharacteristic
296C2×Dic59⋊C4C2311yescharacteristic
297C2×Dic59⋊C4C2311yescharacteristic
298C2×Dic59⋊C4C2311yescharacteristic
299C2×Dic59⋊C4C2311yescharacteristic
300C2×Dic59⋊C4C2311yescharacteristic
301C2×Dic59⋊C4C2311yescharacteristic
302C2×Dic59⋊C4C2311yescharacteristic
303C4⋊C4×D59—24no—
304C4⋊C4×D59—24no—
305C4⋊C4×D59—24no—
306C4⋊C4×D59—42no—
307C4⋊C4×D59D418yescomplemented
308C2×C22⋊Dic59C2311yescharacteristic
309C2×C22⋊Dic59C2311yescharacteristic
310C2×C22⋊Dic59C2311yescharacteristic
311C2×C22⋊Dic59C2311yescharacteristic
312C2×C22⋊Dic59C2311yescharacteristic
313C2×C22⋊Dic59C2311yescharacteristic
314C2×C22⋊Dic59C2311yescharacteristic
315C2×C22⋊Dic59C2311yescharacteristic
316C2×C22⋊Dic59C2311yescharacteristic
317C2×C22⋊Dic59C2311yescharacteristic
318C2×C22⋊Dic59C2311yescharacteristic
319C2×C22⋊Dic59C2311yescharacteristic
320C2×C22⋊Dic59C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C2×(C2×D59)⋊C4C2311yescharacteristic
334C2×(C2×D59)⋊C4C2311yescharacteristic
335C2×(C2×D59)⋊C4C2311yescharacteristic
336C2×(C2×D59)⋊C4C2311yescharacteristic
337C2×(C2×D59)⋊C4C2311yescharacteristic
338C2×(C2×D59)⋊C4C2311yescharacteristic
339C2×(C2×D59)⋊C4C2311yescharacteristic
340C2×(C2×D59)⋊C4C2311yescharacteristic
341C2×(C2×D59)⋊C4C2311yescharacteristic
342C2×(C2×D59)⋊C4C2311yescharacteristic
343C2×(C2×D59)⋊C4C2311yescharacteristic
344C2×(C2×D59)⋊C4C2311yescharacteristic
345C2×(C2×D59)⋊C4C2311yescharacteristic
346C2×(C2×D59)⋊C4C2311yescharacteristic
347C22⋊C4×D59—24no—
348C22⋊C4×D59—24no—
349C22⋊C4×D59—24no—
350C22⋊C4×D59—24no—
351C22⋊C4×D59—24no—
352C22⋊C4×D59—24no—
353C22⋊C4×D59—24no—
354C22⋊C4×D59—24no—
355C22⋊C4×D59—24no—
356C22⋊C4×D59—42no—
357C22⋊C4×D59—42no—
358C22⋊C4×D59—42no—
359C22⋊C4×D59D418yescomplemented
360C2×C4×Dic59C2311yescharacteristic
361C2×C4×Dic59C2311yescharacteristic
362C2×C4×Dic59C2311yescharacteristic
363C2×C4×Dic59C2311yescharacteristic
364C2×C4×Dic59C2311yescharacteristic
365C2×C4×Dic59C2311yescharacteristic
366C42×D59—24no—
367C42×D59—24no—
368C59⋊#95C2311yescharacteristic
369C59⋊#95C2311yescharacteristic
370C59⋊#95C2311yescharacteristic
371C59⋊#95C2311yescharacteristic
372C59⋊#95C2311yescharacteristic
373C59⋊#95C2311yescharacteristic
374C59⋊#95C2311yescharacteristic
375C59⋊#95C2311yescharacteristic
376C59⋊#95C2311yescharacteristic
377C59⋊#95C2311yescharacteristic
378C59⋊#95C2311yescharacteristic
379C59⋊#95C2311yescharacteristic
380C59⋊#95C2311yescharacteristic
381C59⋊#95C2311yescharacteristic
382C59⋊#95C2311yescharacteristic
383C59⋊#95C2311yescharacteristic
384C59⋊#95C2311yescharacteristic
385C59⋊#95C2311yescharacteristic
386C22×D4×C59C2311yescharacteristic
387C22×D4×C59C2311yescharacteristic
388C22×D4×C59C2311yescharacteristic
389C22×D4×C59C2311yescharacteristic
390C22×D4×C59C2311yescharacteristic
391C22×D4×C59C2311yescharacteristic
392C23×C4×C59C2311yescharacteristic
393C23×C4×C59C2311yescharacteristic
394C23×C4×C59C2311yescharacteristic
395#123×C59—24no—
396#121×C59—24no—
397C4×D4×C59—24no—
398C4×D4×C59—24no—
399C2×C4⋊C4×C59C2311yescharacteristic
400C2×C4⋊C4×C59C2311yescharacteristic
401C2×C4⋊C4×C59C2311yescharacteristic
402C2×C4⋊C4×C59C2311yescharacteristic
403C2×C4⋊C4×C59C2311yescharacteristic
404C2×C22⋊C4×C59C2311yescharacteristic
405C2×C22⋊C4×C59C2311yescharacteristic
406C2×C22⋊C4×C59C2311yescharacteristic
407C2×C22⋊C4×C59C2311yescharacteristic
408C2×C22⋊C4×C59C2311yescharacteristic
409C2×C22⋊C4×C59C2311yescharacteristic
410C2×C22⋊C4×C59C2311yescharacteristic
411C2×C22⋊C4×C59C2311yescharacteristic
412C2×C22⋊C4×C59C2311yescharacteristic
413C2×C22⋊C4×C59C2311yescharacteristic
414C2×C22⋊C4×C59C2311yescharacteristic
415C2×C22⋊C4×C59C2311yescharacteristic
416C2×C22⋊C4×C59C2311yescharacteristic
417C2×C42×C59C2311yescharacteristic
418C2×C42×C59C2311yescharacteristic
419#95×C59C2311yescharacteristic
420#95×C59C2311yescharacteristic
421#95×C59C2311yescharacteristic
422#95×C59C2311yescharacteristic
423#95×C59C2311yescharacteristic
424#95×C59C2311yescharacteristic
425C24×C59C2411yescharacteristic
426C24×C59C2411yescharacteristic
427C24×C59C2411yescharacteristic
428C24×C59C2411yescharacteristic
429C23×D59—22no—
430C23×D59—22no—
431C23×D59—22no—
432C23×D59—22no—
433C23×D59—22no—
434C23×D59—22no—
435C23×D59—22no—
436C23×D59—22no—
437C23×D59—22no—
438C23×D59—22no—
439C23×D59—22no—
440C23×D59—22no—
441C23×D59—22no—
442C23×D59—22no—
443C23×D59—22no—
444C23×D59—22no—
445C23×D59—22no—
446C23×D59—22no—
447C23×D59—22no—
448C23×D59—22no—
449C23×D59—22no—
450C23×D59—22no—
451C23×D59—22no—
452C23×D59—22no—
453C23×D59—22no—
454C23×D59C2×D414yes—
455C23×D59#4114yes—
456C23×D59#4114yes—
457C23×D59C2411yescharacteristic
458C23×D59C2411yescharacteristic
459C23×D59C2411yescharacteristic
460C23×D59C2411yescharacteristic
461C23×D59C2411yescharacteristic
462C2×D4×C59—22no—
463C2×D4×C59—22no—
464C2×D4×C59—22no—
465C2×D4×C59—22no—
466C2×D4×C59—22no—
467C2×D4×C59—22no—
468C2×D4×C59—22no—
469C2×D4×C59—22no—
470C2×D4×C59—22no—
471C2×D4×C59—22no—
472C2×D4×C59—22no—
473C2×D4×C59—22no—
474C2×D4×C59—22no—
475C2×D4×C59—41no—
476C2×D4×C59—41no—
477C2×D4×C59—41no—
478C2×D4×C59—41no—
479C2×D4×C59—41no—
480C22×C4×C59—22no—
481C22×C4×C59—22no—
482C22×C4×C59—22no—
483C22×C4×C59—22no—
484C22×C4×C59—22no—
485C22×C4×C59—22no—
486C22×C4×C59—41no—
487C22×C4×C59—41no—
488C22×C4×C59—41no—
489C22×C4×C59C2411yescharacteristic
490C22×C4×C59C2411yescharacteristic
491C22×C4×C59C2411yescharacteristic
492C22×C4×C59C2411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C2×C22⋊D59—22no—
501C2×C22⋊D59—22no—
502C2×C22⋊D59—22no—
503C2×C22⋊D59—22no—
504C2×C22⋊D59—22no—
505C2×C22⋊D59—22no—
506C2×C22⋊D59—22no—
507C2×C22⋊D59—22no—
508C2×C22⋊D59—22no—
509C2×C22⋊D59—22no—
510C2×C22⋊D59—22no—
511C2×C22⋊D59—22no—
512C2×C22⋊D59—22no—
513C2×C22⋊D59—22no—
514C2×C22⋊D59—22no—
515C2×C22⋊D59—22no—
516C2×C22⋊D59—22no—
517C2×C22⋊D59—22no—
518C2×C22⋊D59—22no—
519C2×C22⋊D59—22no—
520C2×C22⋊D59—22no—
521C2×C22⋊D59—22no—
522C2×C22⋊D59—22no—
523C2×C22⋊D59—22no—
524C2×C22⋊D59—22no—
525C2×C22⋊D59—22no—
526C2×C22⋊D59—41no—
527C2×C22⋊D59—41no—
528C2×C22⋊D59—41no—
529C2×C22⋊D59—41no—
530C2×C22⋊D59—41no—
531C2×C22⋊D59—41no—
532C2×C22⋊D59—41no—
533C2×C22⋊D59—41no—
534C2×C22⋊D59—41no—
535C2×C22⋊D59—41no—
536C22×Dic59—22no—
537C22×Dic59—22no—
538C22×Dic59—22no—
539C22×Dic59—22no—
540C22×Dic59—22no—
541C22×Dic59—22no—
542C22×Dic59—41no—
543C22×Dic59—41no—
544C22×Dic59—41no—
545C22×Dic59C2411yescharacteristic
546C22×Dic59C2411yescharacteristic
547C22×Dic59C2411yescharacteristic
548C22×Dic59C2411yescharacteristic
549C22×Dic59C2411yescharacteristic
550C22×Dic59C2411yescharacteristic
551C22×Dic59C2411yescharacteristic
552C22×Dic59C2411yescharacteristic
553C22×Dic59C2411yescharacteristic
554C22×Dic59C2411yescharacteristic
555C22×Dic59C2411yescharacteristic
556D4×D59—232no—
557D4×D59—232no—
558D4×D59—416no—
559D4×D59—416no—
560D4×D59—416no—
561D4×D59—416no—
562C2×D236—22no—
563C2×D236—22no—
564C2×D236—22no—
565C2×D236—22no—
566C2×D236—22no—
567C2×D236—22no—
568C2×D236—22no—
569C2×D236—22no—
570C2×D236—22no—
571C2×D236—22no—
572C2×D236—22no—
573C2×D236—22no—
574C2×D236—22no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—41no—
578C2×D236—41no—
579C2×D236—41no—
580C2×C4×D59—22no—
581C2×C4×D59—22no—
582C2×C4×D59—22no—
583C2×C4×D59—22no—
584C2×C4×D59—22no—
585C2×C4×D59—22no—
586C2×C4×D59—22no—
587C2×C4×D59—22no—
588C2×C4×D59—22no—
589C2×C4×D59—22no—
590C2×C4×D59—22no—
591C2×C4×D59—22no—
592C2×C4×D59—22no—
593C2×C4×D59—22no—
594C2×C4×D59—22no—
595C2×C4×D59—22no—
596C2×C4×D59—22no—
597C2×C4×D59—22no—
598C2×C4×D59—22no—
599C2×C4×D59—22no—
600C2×C4×D59—22no—
601C2×C4×D59—22no—
602C2×C4×D59—22no—
603C2×C4×D59—22no—
604C2×C4×D59—22no—
605C2×C4×D59—22no—
606C2×C4×D59—22no—
607C2×C4×D59—22no—
608C2×C4×D59—22no—
609C2×C4×D59—22no—
610C2×C4×D59—22no—
611C2×C4×D59—22no—
612C2×C4×D59—22no—
613C2×C4×D59—22no—
614C2×C4×D59—22no—
615C2×C4×D59—22no—
616C2×C4×D59—22no—
617C2×C4×D59—22no—
618C2×C4×D59—22no—
619C2×C4×D59—416no—
620C2×C4×D59—416no—
621C2×C4×D59—416no—
622C2×C4×D59—41no—
623C2×C4×D59—41no—
624C2×C4×D59—41no—
625C2×C4×D59—41no—
626C2×C4×D59—41no—
627C2×C4×D59—41no—
628C2×C4×D59C2×D414yes—
629C2×C4×D59C2×D414yes—
630C2×C4×D59C2×D414yes—
631C2×C4×D59C2×D414yes—
632C2×C4×D59C2×D414yes—
633C2×C4×D59#4114yes—
634C4⋊C4×C59—22no—
635C4⋊C4×C59—22no—
636C4⋊C4×C59—22no—
637C4⋊C4×C59—41no—
638C4⋊C4×C59C2×D414yescomplemented
639C22⋊C4×C59—22no—
640C22⋊C4×C59—22no—
641C22⋊C4×C59—22no—
642C22⋊C4×C59—22no—
643C22⋊C4×C59—22no—
644C22⋊C4×C59—22no—
645C22⋊C4×C59—22no—
646C22⋊C4×C59—22no—
647C22⋊C4×C59—22no—
648C22⋊C4×C59—41no—
649C22⋊C4×C59—41no—
650C22⋊C4×C59—41no—
651C22⋊C4×C59C2×D414yescomplemented
652C42×C59—22no—
653C42×C59—22no—
654C22⋊Dic59—22no—
655C22⋊Dic59—22no—
656C22⋊Dic59—22no—
657C22⋊Dic59—22no—
658C22⋊Dic59—22no—
659C22⋊Dic59—22no—
660C22⋊Dic59—22no—
661C22⋊Dic59—22no—
662C22⋊Dic59—22no—
663C22⋊Dic59—41no—
664C22⋊Dic59—41no—
665C22⋊Dic59—41no—
666C22⋊Dic59C2×D414yescomplemented
667(C2×D59)⋊C4—22no—
668(C2×D59)⋊C4—22no—
669(C2×D59)⋊C4—22no—
670(C2×D59)⋊C4—22no—
671(C2×D59)⋊C4—22no—
672(C2×D59)⋊C4—22no—
673(C2×D59)⋊C4—22no—
674(C2×D59)⋊C4—22no—
675(C2×D59)⋊C4—22no—
676(C2×D59)⋊C4—22no—
677(C2×D59)⋊C4—22no—
678(C2×D59)⋊C4—22no—
679(C2×D59)⋊C4—22no—
680(C2×D59)⋊C4—22no—
681(C2×D59)⋊C4—22no—
682(C2×D59)⋊C4—22no—
683(C2×D59)⋊C4—22no—
684(C2×D59)⋊C4—22no—
685(C2×D59)⋊C4—41no—
686(C2×D59)⋊C4—41no—
687(C2×D59)⋊C4—41no—
688(C2×D59)⋊C4—41no—
689(C2×D59)⋊C4—41no—
690(C2×D59)⋊C4—41no—
691(C2×D59)⋊C4C2×D414yescomplemented
692(C2×D59)⋊C4C2×D414yescomplemented
693C4⋊Dic59—22no—
694C4⋊Dic59—22no—
695C4⋊Dic59—22no—
696C4⋊Dic59—41no—
697C4⋊Dic59C2×D414yescomplemented
698Dic59⋊C4—22no—
699Dic59⋊C4—22no—
700Dic59⋊C4—22no—
701Dic59⋊C4—22no—
702Dic59⋊C4—22no—
703Dic59⋊C4—22no—
704Dic59⋊C4—41no—
705Dic59⋊C4—41no—
706Dic59⋊C4C2×D414yescomplemented
707Dic59⋊C4C2×D414yescomplemented
708C4×Dic59—22no—
709C4×Dic59—22no—
710C4×Dic59—22no—
711C4×Dic59—22no—
712C4×Dic59—22no—
713C4×Dic59—22no—
714C23×C59—21no—
715C23×C59—21no—
716C23×C59—21no—
717C23×C59—21no—
718C23×C59—21no—
719C23×C59—21no—
720C23×C59—21no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—21no—
728C23×C59—21no—
729C23×C59—21no—
730C23×C59—21no—
731C23×C59—21no—
732C23×C59—21no—
733C23×C59—21no—
734C23×C59—21no—
735C23×C59—21no—
736C23×C59—21no—
737C23×C59—21no—
738C23×C59—21no—
739C23×C59C22×D412yes—
740C23×C59C2×#4112yes—
741C23×C59C2×#4112yes—
742C23×C59C2511yescharacteristic
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—21no—
761C22×D59—28no—
762C22×D59—28no—
763C22×D59—28no—
764C22×D59—28no—
765C22×D59—28no—
766C22×D59—28no—
767C22×D59—28no—
768C22×D59—28no—
769C22×D59—28no—
770C22×D59—21no—
771C22×D59—21no—
772C22×D59—21no—
773C22×D59—21no—
774C22×D59—21no—
775C22×D59—21no—
776C22×D59—21no—
777C22×D59—44no—
778C22×D59—44no—
779C22×D59—44no—
780C22×D59—44no—
781C22×D59—44no—
782C22×D59—44no—
783C22×D59—44no—
784C22×D59—44no—
785C22×D59—44no—
786C22×D59—44no—
787C22×D59—44no—
788C22×D59—44no—
789C22×D59—44no—
790C22×D59—44no—
791C22×D59—44no—
792C22×D59—44no—
793C22×D59—44no—
794C22×D59—44no—
795C22×D59—44no—
796C22×D59C22×D412yes—
797C22×D59C22×D412yes—
798C22×D59C22×D412yes—
799C22×D59C2×#4112yes—
800C22×D59C2×#4112yes—
801C22×D59C2×#4112yes—
802C22×D59C2×#4112yes—
803C22×D59C2×#4112yes—
804C22×D59H(5,𝔽2)12yes—
805C22×D59H(5,𝔽2)12yes—
806D4×C59—28no—
807D4×C59—28no—
808D4×C59—44no—
809D4×C59—44no—
810D4×C59—44no—
811D4×C59—44no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—21no—
818C2×C4×C59—21no—
819C2×C4×C59—21no—
820C2×C4×C59—21no—
821C2×C4×C59—21no—
822C2×C4×C59—21no—
823C2×C4×C59—21no—
824C2×C4×C59—21no—
825C2×C4×C59—21no—
826C2×C4×C59—21no—
827C2×C4×C59—21no—
828C2×C4×C59—21no—
829C2×C4×C59—21no—
830C2×C4×C59—21no—
831C2×C4×C59—21no—
832C2×C4×C59—21no—
833C2×C4×C59—21no—
834C2×C4×C59—21no—
835C2×C4×C59—21no—
836C2×C4×C59—21no—
837C2×C4×C59—21no—
838C2×C4×C59—21no—
839C2×C4×C59—44no—
840C2×C4×C59—44no—
841C2×C4×C59—44no—
842C2×C4×C59C22×D412yes—
843C2×C4×C59C22×D412yes—
844C2×C4×C59C22×D412yes—
845C2×C4×C59C22×D412yes—
846C2×C4×C59C22×D412yes—
847C2×C4×C59C2×#4112yes—
848C22⋊D59—28no—
849C22⋊D59—28no—
850C22⋊D59—28no—
851C22⋊D59—28no—
852C22⋊D59—44no—
853C22⋊D59—44no—
854C22⋊D59—44no—
855C22⋊D59—44no—
856C22⋊D59—44no—
857C22⋊D59—44no—
858C22⋊D59—44no—
859C22⋊D59—44no—
860C2×Dic59—21no—
861C2×Dic59—21no—
862C2×Dic59—21no—
863C2×Dic59—21no—
864C2×Dic59—21no—
865C2×Dic59—21no—
866C2×Dic59—21no—
867C2×Dic59—21no—
868C2×Dic59—21no—
869C2×Dic59—21no—
870C2×Dic59—21no—
871C2×Dic59—21no—
872C2×Dic59—21no—
873C2×Dic59—21no—
874C2×Dic59—21no—
875C2×Dic59—21no—
876C2×Dic59—21no—
877C2×Dic59—21no—
878C2×Dic59—21no—
879C2×Dic59—21no—
880C2×Dic59—21no—
881C2×Dic59—21no—
882C2×Dic59—21no—
883C2×Dic59—21no—
884C2×Dic59—21no—
885C2×Dic59—21no—
886C2×Dic59—21no—
887C2×Dic59—44no—
888C2×Dic59—44no—
889C2×Dic59—44no—
890C2×Dic59C22×D412yes—
891C2×Dic59C22×D412yes—
892C2×Dic59C22×D412yes—
893C2×Dic59C22×D412yes—
894C2×Dic59C22×D412yes—
895C2×Dic59C2×#4112yes—
896D236—28no—
897D236—28no—
898D236—44no—
899D236—44no—
900D236—44no—
901D236—44no—
902C4×D59—28no—
903C4×D59—28no—
904C4×D59—28no—
905C4×D59—28no—
906C4×D59—28no—
907C4×D59—28no—
908C4×D59—44no—
909C4×D59—44no—
910C4×D59—44no—
911C4×D59—44no—
912C4×D59—44no—
913C4×D59—44no—
914C4×D59—44no—
915C4×D59—44no—
916C4×D59—44no—
917C4×D59—44no—
918C4×D59—44no—
919C2×#2456—591nomaximal, Sylow
920C22×C59—22no—
921C22×C59—22no—
922C22×C59—22no—
923C22×C59—22no—
924C22×C59—22no—
925C22×C59—22no—
926C22×C59—22no—
927C22×C59—22no—
928C22×C59—22no—
929C22×C59—41no—
930C22×C59—41no—
931C22×C59—41no—
932C22×C59—41no—
933C22×C59—41no—
934C22×C59—41no—
935C22×C59—41no—
936C22×C59—41no—
937C22×C59—41no—
938C22×C59—41no—
939C22×C59—41no—
940C22×C59—41no—
941C22×C59—41no—
942C22×C59—41no—
943C22×C59—41no—
944C22×C59—41no—
945C22×C59—41no—
946C22×C59—41no—
947C22×C59—41no—
948C22×C59C23×D411yescharacteristic
949C22×C59C23×D411yescharacteristic
950C22×C59C22×#4111yescharacteristic
951C22×C59C22×#4111yescharacteristic
952C22×C59C22×#4111yescharacteristic
953C22×C59C2×H(5,𝔽2)11yescharacteristic
954C22×C59C2×H(5,𝔽2)11yescharacteristic
955C2×D59—22no—
956C2×D59—22no—
957C2×D59—22no—
958C2×D59—22no—
959C2×D59—22no—
960C2×D59—22no—
961C2×D59—22no—
962C2×D59—22no—
963C2×D59—22no—
964C2×D59—41no—
965C2×D59—41no—
966C2×D59—41no—
967C2×D59—41no—
968C2×D59—41no—
969C2×D59—41no—
970C2×D59—41no—
971C2×D59—41no—
972C2×D59—41no—
973C2×D59—41no—
974C2×D59—41no—
975C2×D59—41no—
976C2×D59—416no—
977C2×D59—416no—
978C2×D59—416no—
979C2×D59—41no—
980C2×D59—41no—
981C2×D59—41no—
982C2×D59—41no—
983C2×D59—41no—
984C2×D59—41no—
985C2×D59—41no—
986C2×D59—88no—
987C2×D59#52514yes—
988C2×D59#52514yes—
989C2×D59#53814yes—
990C2×D59D4214yes—
991C2×D59#54614yes—
992C2×D59#55014yes—
993C2×D59#55314yes—
994C4×C59—22no—
995C4×C59—22no—
996C4×C59—22no—
997C4×C59—22no—
998C4×C59—22no—
999C4×C59—22no—
1000C4×C59—41no—
1001C4×C59—41no—
1002C4×C59—41no—
1003C4×C59—41no—
1004C4×C59—41no—
1005Dic59—22no—
1006Dic59—22no—
1007Dic59—22no—
1008Dic59—22no—
1009Dic59—22no—
1010Dic59—22no—
1011Dic59—41no—
1012Dic59—41no—
1013Dic59—41no—
1014Dic59—41no—
1015Dic59—41no—
1016C22×#123—591no—
1017C22×#121—591no—
1018C22×C4×D4—591no—
1019C22×C4×D4—591no—
1020#2456—591no—
1021#2456—591no—
1022#2456—591no—
1023#2456—591no—
1024#2456—591no—
1025#2456—591no—
1026#2456—591no—
1027#2456—591no—
1028#2456—591no—
1029#2456—591no—
1030#2456—591no—
1031#2456—591no—
1032#2456—591no—
1033#2456—591no—
1034#2456—591no—
1035#2456D5911yescharacteristic, direct product factor
1036C2×#396—591no—
1037C2×#392—591no—
1038C2×#392—591no—
1039C2×#392—591no—
1040C2×#390—591no—
1041C2×#388—591no—
1042C2×#388—591no—
1043C2×#387—591no—
1044C2×#386—591no—
1045C2×#386—591no—
1046C2×#385—591no—
1047C2×C59—42no—
1048C2×C59—42no—
1049C2×C59—42no—
1050C2×C59—81no—
1051C2×C59C2×#52511yescharacteristic
1052C2×C59C2×#52511yescharacteristic
1053C2×C59C2×#53811yescharacteristic
1054C2×C59C2×D4211yescharacteristic
1055C2×C59C2×#54611yescharacteristic
1056C2×C59C2×#55011yescharacteristic
1057C2×C59C2×#55311yescharacteristic
1058D59—42no—
1059D59—42no—
1060D59—42no—
1061D59—81no—
1062D59#245618yesdirect product factor
1063C23×D4—591no—
1064C23×D4—591no—
1065C23×D4—591no—
1066C23×D4—591no—
1067C23×D4—591no—
1068C23×D4—591no—
1069C24×C4—591no—
1070C24×C4—591no—
1071C24×C4—591no—
1072C2×#123—591no—
1073C2×#123—591no—
1074C2×#123—591no—
1075C2×#123—591no—
1076C2×#123—591no—
1077C2×#123—591no—
1078C2×#123—591no—
1079C2×#123—1188no—
1080C2×#123C2×D5911yescharacteristic, complemented
1081C2×#121—591no—
1082C2×#121—591no—
1083C2×#121—591no—
1084C2×#121—591no—
1085C2×#121—591no—
1086C2×#121—591no—
1087C2×#121—591no—
1088C2×#121—1188no—
1089C2×#121C2×D5911yescharacteristic, complemented
1090C2×C4×D4—591no—
1091C2×C4×D4—591no—
1092C2×C4×D4—591no—
1093C2×C4×D4—591no—
1094C2×C4×D4—591no—
1095C2×C4×D4—591no—
1096C2×C4×D4—591no—
1097C2×C4×D4—591no—
1098C2×C4×D4—591no—
1099C2×C4×D4—591no—
1100C2×C4×D4—591no—
1101C2×C4×D4—591no—
1102C2×C4×D4—591no—
1103C2×C4×D4—591no—
1104C2×C4×D4—1188no—
1105C2×C4×D4—1188no—
1106C2×C4×D4C2×D5911yescharacteristic, complemented
1107C2×C4×D4C2×D5911yescharacteristic, complemented
1108C22×C4⋊C4—591no—
1109C22×C4⋊C4—591no—
1110C22×C4⋊C4—591no—
1111C22×C4⋊C4—591no—
1112C22×C4⋊C4—591no—
1113C22×C22⋊C4—591no—
1114C22×C22⋊C4—591no—
1115C22×C22⋊C4—591no—
1116C22×C22⋊C4—591no—
1117C22×C22⋊C4—591no—
1118C22×C22⋊C4—591no—
1119C22×C22⋊C4—591no—
1120C22×C22⋊C4—591no—
1121C22×C22⋊C4—591no—
1122C22×C22⋊C4—591no—
1123C22×C22⋊C4—591no—
1124C22×C22⋊C4—591no—
1125C22×C22⋊C4—591no—
1126C22×C42—591no—
1127C22×C42—591no—
1128#396—591no—
1129#396—591no—
1130#396—591no—
1131#396—591no—
1132#396—591no—
1133#396—591no—
1134#396—591no—
1135#396C2×D5911yescharacteristic, complemented
1136#392—591no—
1137#392—591no—
1138#392—591no—
1139#392—591no—
1140#392—591no—
1141#392—591no—
1142#392—591no—
1143#392—591no—
1144#392—591no—
1145#392—591no—
1146#392—591no—
1147#392—591no—
1148#392—591no—
1149#392—591no—
1150#392—591no—
1151#392—591no—
1152#392—591no—
1153#392—591no—
1154#392—591no—
1155#392—591no—
1156#392—591no—
1157#392C2×D5911yescharacteristic, complemented
1158#392C2×D5911yescharacteristic, complemented
1159#392C2×D5911yescharacteristic, complemented
1160#390—591no—
1161#390—591no—
1162#390—591no—
1163#390—591no—
1164#390—591no—
1165#390—591no—
1166#390—591no—
1167#390C2×D5911yescharacteristic, complemented
1168#388—591no—
1169#388—591no—
1170#388—591no—
1171#388—591no—
1172#388—591no—
1173#388—591no—
1174#388—591no—
1175#388—591no—
1176#388—591no—
1177#388—591no—
1178#388—591no—
1179#388—591no—
1180#388—591no—
1181#388—591no—
1182#388C2×D5911yescharacteristic, complemented
1183#388C2×D5911yescharacteristic, complemented
1184#387—591no—
1185#387—591no—
1186#387—591no—
1187#387—591no—
1188#387—591no—
1189#387—591no—
1190#387—591no—
1191#387C2×D5911yescharacteristic, complemented
1192#386—591no—
1193#386—591no—
1194#386—591no—
1195#386—591no—
1196#386—591no—
1197#386—591no—
1198#386—591no—
1199#386—591no—
1200#386—591no—
1201#386—591no—
1202#386—591no—
1203#386—591no—
1204#386—591no—
1205#386—591no—
1206#386C2×D5911yescharacteristic, complemented
1207#386C2×D5911yescharacteristic, complemented
1208#385—591no—
1209#385—591no—
1210#385—591no—
1211#385—591no—
1212#385—591no—
1213#385—591no—
1214#385—591no—
1215#385C2×D5911yescharacteristic, complemented
1216C2×#95—591no—
1217C2×#95—591no—
1218C2×#95—591no—
1219C2×#95—591no—
1220C2×#95—591no—
1221C2×#95—591no—
1222C59C2×#245611yescharacteristic, complemented, Sylow
1223C25—591no—
1224C25—591no—
1225C25—591no—
1226C25—591no—
1227C22×D4—591no—
1228C22×D4—591no—
1229C22×D4—591no—
1230C22×D4—591no—
1231C22×D4—591no—
1232C22×D4—591no—
1233C22×D4—591no—
1234C22×D4—591no—
1235C22×D4—591no—
1236C22×D4—591no—
1237C22×D4—591no—
1238C22×D4—591no—
1239C22×D4—591no—
1240C22×D4—591no—
1241C22×D4—591no—
1242C22×D4—591no—
1243C22×D4—591no—
1244C22×D4—591no—
1245C22×D4—1184no—
1246C22×D4—1184no—
1247C22×D4—1184no—
1248C22×D4—1184no—
1249C22×D4—1184no—
1250C22×D4—1184no—
1251C22×D4—1184no—
1252C22×D4—1184no—
1253C22×D4—1184no—
1254C22×D4—1184no—
1255C22×D4—1184no—
1256C22×D4—1184no—
1257C22×D4—1184no—
1258C22×D4—2362no—
1259C22×D4—2362no—
1260C22×D4—2362no—
1261C22×D4—2362no—
1262C22×D4—2362no—
1263C22×D4C22×D5911yescharacteristic
1264C22×D4C22×D5911yescharacteristic
1265C22×D4C22×D5911yescharacteristic
1266C22×D4C22×D5911yescharacteristic
1267C22×D4C22×D5911yescharacteristic
1268C22×D4C22×D5911yescharacteristic
1269C23×C4—591no—
1270C23×C4—591no—
1271C23×C4—591no—
1272C23×C4—591no—
1273C23×C4—591no—
1274C23×C4—591no—
1275C23×C4—591no—
1276C23×C4—591no—
1277C23×C4—591no—
1278C23×C4—591no—
1279C23×C4—591no—
1280C23×C4—591no—
1281C23×C4—591no—
1282C23×C4—591no—
1283C23×C4—591no—
1284C23×C4—591no—
1285C23×C4—591no—
1286C23×C4—591no—
1287C23×C4—591no—
1288C23×C4—591no—
1289C23×C4—1184no—
1290C23×C4—1184no—
1291C23×C4—1184no—
1292C23×C4—1184no—
1293C23×C4—1184no—
1294C23×C4—1184no—
1295C23×C4—2362no—
1296C23×C4—2362no—
1297C23×C4—2362no—
1298C23×C4C22×D5911yescharacteristic
1299C23×C4C22×D5911yescharacteristic
1300C23×C4C22×D5911yescharacteristic
1301#123—24no—
1302#123—1184no—
1303#123—1184no—
1304#123—1184no—
1305#123—1184no—
1306#123—1184no—
1307#123—1184no—
1308#123—1184no—
1309#121—24no—
1310#121—1184no—
1311#121—1184no—
1312#121—1184no—
1313#121—1184no—
1314#121—1184no—
1315#121—1184no—
1316#121—1184no—
1317C4×D4—24no—
1318C4×D4—24no—
1319C4×D4—1184no—
1320C4×D4—1184no—
1321C4×D4—1184no—
1322C4×D4—1184no—
1323C4×D4—1184no—
1324C4×D4—1184no—
1325C4×D4—1184no—
1326C4×D4—1184no—
1327C4×D4—1184no—
1328C4×D4—1184no—
1329C4×D4—1184no—
1330C4×D4—1184no—
1331C4×D4—1184no—
1332C4×D4—1184no—
1333C2×C4⋊C4—591no—
1334C2×C4⋊C4—591no—
1335C2×C4⋊C4—591no—
1336C2×C4⋊C4—598no—
1337C2×C4⋊C4—591no—
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—591no—
1341C2×C4⋊C4—591no—
1342C2×C4⋊C4—591no—
1343C2×C4⋊C4—591no—
1344C2×C4⋊C4—591no—
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—591no—
1347C2×C4⋊C4—591no—
1348C2×C4⋊C4—591no—
1349C2×C4⋊C4—1184no—
1350C2×C4⋊C4—1184no—
1351C2×C4⋊C4—1184no—
1352C2×C4⋊C4—2362no—
1353C2×C4⋊C4C22×D5911yescharacteristic
1354C2×C4⋊C4C22×D5911yescharacteristic
1355C2×C4⋊C4C22×D5911yescharacteristic
1356C2×C4⋊C4C22×D5911yescharacteristic
1357C2×C4⋊C4C22×D5911yescharacteristic
1358C2×C22⋊C4—591no—
1359C2×C22⋊C4—591no—
1360C2×C22⋊C4—591no—
1361C2×C22⋊C4—598no—
1362C2×C22⋊C4—591no—
1363C2×C22⋊C4—591no—
1364C2×C22⋊C4—591no—
1365C2×C22⋊C4—591no—
1366C2×C22⋊C4—591no—
1367C2×C22⋊C4—591no—
1368C2×C22⋊C4—591no—
1369C2×C22⋊C4—591no—
1370C2×C22⋊C4—591no—
1371C2×C22⋊C4—591no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—591no—
1374C2×C22⋊C4—591no—
1375C2×C22⋊C4—591no—
1376C2×C22⋊C4—591no—
1377C2×C22⋊C4—591no—
1378C2×C22⋊C4—591no—
1379C2×C22⋊C4—591no—
1380C2×C22⋊C4—591no—
1381C2×C22⋊C4—591no—
1382C2×C22⋊C4—591no—
1383C2×C22⋊C4—591no—
1384C2×C22⋊C4—591no—
1385C2×C22⋊C4—591no—
1386C2×C22⋊C4—591no—
1387C2×C22⋊C4—591no—
1388C2×C22⋊C4—591no—
1389C2×C22⋊C4—591no—
1390C2×C22⋊C4—591no—
1391C2×C22⋊C4—591no—
1392C2×C22⋊C4—591no—
1393C2×C22⋊C4—591no—
1394C2×C22⋊C4—591no—
1395C2×C22⋊C4—591no—
1396C2×C22⋊C4—591no—
1397C2×C22⋊C4—591no—
1398C2×C22⋊C4—1184no—
1399C2×C22⋊C4—1184no—
1400C2×C22⋊C4—1184no—
1401C2×C22⋊C4—1184no—
1402C2×C22⋊C4—1184no—
1403C2×C22⋊C4—1184no—
1404C2×C22⋊C4—1184no—
1405C2×C22⋊C4—1184no—
1406C2×C22⋊C4—1184no—
1407C2×C22⋊C4—2362no—
1408C2×C22⋊C4—2362no—
1409C2×C22⋊C4—2362no—
1410C2×C22⋊C4C22×D5911yescharacteristic
1411C2×C22⋊C4C22×D5911yescharacteristic
1412C2×C22⋊C4C22×D5911yescharacteristic
1413C2×C22⋊C4C22×D5911yescharacteristic
1414C2×C22⋊C4C22×D5911yescharacteristic
1415C2×C22⋊C4C22×D5911yescharacteristic
1416C2×C22⋊C4C22×D5911yescharacteristic
1417C2×C22⋊C4C22×D5911yescharacteristic
1418C2×C22⋊C4C22×D5911yescharacteristic
1419C2×C22⋊C4C22×D5911yescharacteristic
1420C2×C22⋊C4C22×D5911yescharacteristic
1421C2×C22⋊C4C22×D5911yescharacteristic
1422C2×C22⋊C4C22×D5911yescharacteristic
1423C2×C42—591no—
1424C2×C42—591no—
1425C2×C42—591no—
1426C2×C42—591no—
1427C2×C42—591no—
1428C2×C42—591no—
1429C2×C42—1184no—
1430C2×C42—1184no—
1431C2×C42C22×D5911yescharacteristic
1432C2×C42C22×D5911yescharacteristic
1433#95—591no—
1434#95—591no—
1435#95—591no—
1436#95—591no—
1437#95—591no—
1438#95—591no—
1439#95—591no—
1440#95—591no—
1441#95—591no—
1442#95—591no—
1443#95—591no—
1444#95—591no—
1445#95—591no—
1446#95—591no—
1447#95—591no—
1448#95—591no—
1449#95—591no—
1450#95—591no—
1451#95C22×D5911yescharacteristic
1452#95C22×D5911yescharacteristic
1453#95C22×D5911yescharacteristic
1454#95C22×D5911yescharacteristic
1455#95C22×D5911yescharacteristic
1456#95C22×D5911yescharacteristic
1457C24—591no—
1458C24—594no—
1459C24—594no—
1460C24—594no—
1461C24—591no—
1462C24—591no—
1463C24—591no—
1464C24—591no—
1465C24—1182no—
1466C24—1182no—
1467C24—1182no—
1468C24—1182no—
1469C24—1182no—
1470C24—1182no—
1471C24—1182no—
1472C24—1182no—
1473C24—1182no—
1474C24—1182no—
1475C24—1182no—
1476C24—1182no—
1477C24—1182no—
1478C24—1182no—
1479C24—1182no—
1480C24—1182no—
1481C24—1182no—
1482C24—1182no—
1483C24—1182no—
1484C24—1182no—
1485C24—1182no—
1486C24—1182no—
1487C24—1182no—
1488C24—1182no—
1489C24—1182no—
1490C24C23×D5911yescharacteristic
1491C24C23×D5911yescharacteristic
1492C24C23×D5911yescharacteristic
1493C24C23×D5911yescharacteristic
1494C2×D4—22no—
1495C2×D4—22no—
1496C2×D4—22no—
1497C2×D4—22no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—1182no—
1513C2×D4—1182no—
1514C2×D4—1182no—
1515C2×D4—1182no—
1516C2×D4—1182no—
1517C2×D4—1182no—
1518C2×D4—1182no—
1519C2×D4—1182no—
1520C2×D4—1182no—
1521C2×D4—1182no—
1522C2×D4—1182no—
1523C2×D4—1182no—
1524C2×D4—1182no—
1525C2×D4—1182no—
1526C2×D4—1182no—
1527C2×D4—1182no—
1528C2×D4—1182no—
1529C2×D4—11832no—
1530C2×D4—11832no—
1531C2×D4—1182no—
1532C2×D4—1182no—
1533C2×D4—1182no—
1534C2×D4—1182no—
1535C2×D4—1182no—
1536C2×D4—1182no—
1537C2×D4—1182no—
1538C2×D4—1182no—
1539C2×D4—1182no—
1540C2×D4—1182no—
1541C2×D4—1182no—
1542C2×D4—1182no—
1543C2×D4—1182no—
1544C2×D4—1182no—
1545C2×D4—1182no—
1546C2×D4—1182no—
1547C2×D4—1182no—
1548C2×D4—1182no—
1549C2×D4—1182no—
1550C2×D4—1182no—
1551C2×D4—1182no—
1552C2×D4—1182no—
1553C2×D4—2361no—
1554C2×D4—2361no—
1555C2×D4—2361no—
1556C2×D4—2361no—
1557C2×D4—2361no—
1558C2×D4—23616no—
1559C2×D4—23616no—
1560C2×D4—2361no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2361no—
1570C2×D4—23616no—
1571C2×D4—23616no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—41no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—591no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—594no—
1588C22×C4—594no—
1589C22×C4—594no—
1590C22×C4—594no—
1591C22×C4—594no—
1592C22×C4—594no—
1593C22×C4—591no—
1594C22×C4—591no—
1595C22×C4—591no—
1596C22×C4—591no—
1597C22×C4—591no—
1598C22×C4—1182no—
1599C22×C4—1182no—
1600C22×C4—1182no—
1601C22×C4—1182no—
1602C22×C4—1182no—
1603C22×C4—1182no—
1604C22×C4—1182no—
1605C22×C4—1182no—
1606C22×C4—1182no—
1607C22×C4—1182no—
1608C22×C4—1182no—
1609C22×C4—1182no—
1610C22×C4—1182no—
1611C22×C4—1182no—
1612C22×C4—1182no—
1613C22×C4—1182no—
1614C22×C4—1182no—
1615C22×C4—1182no—
1616C22×C4—1182no—
1617C22×C4—1182no—
1618C22×C4—1182no—
1619C22×C4—1182no—
1620C22×C4—1182no—
1621C22×C4—1182no—
1622C22×C4—1182no—
1623C22×C4—1182no—
1624C22×C4—1182no—
1625C22×C4—1182no—
1626C22×C4—1182no—
1627C22×C4—1182no—
1628C22×C4—1182no—
1629C22×C4—1182no—
1630C22×C4—1182no—
1631C22×C4—1182no—
1632C22×C4—1182no—
1633C22×C4—1182no—
1634C22×C4—1182no—
1635C22×C4—1182no—
1636C22×C4—1182no—
1637C22×C4—1182no—
1638C22×C4—1182no—
1639C22×C4—1182no—
1640C22×C4—1182no—
1641C22×C4—1182no—
1642C22×C4—1182no—
1643C22×C4—2361no—
1644C22×C4—2361no—
1645C22×C4—2361no—
1646C22×C4—2361no—
1647C22×C4—2361no—
1648C22×C4—2361no—
1649C22×C4—23616no—
1650C22×C4—23616no—
1651C22×C4—23616no—
1652C22×C4—2361no—
1653C22×C4—2361no—
1654C22×C4—2361no—
1655C22×C4C23×D5911yescharacteristic
1656C22×C4C23×D5911yescharacteristic
1657C22×C4C23×D5911yescharacteristic
1658C22×C4C23×D5911yescharacteristic
1659C22×C4C23×D5911yescharacteristic
1660C22×C4C23×D5911yescharacteristic
1661C22×C4C23×D5911yescharacteristic
1662C22×C4C23×D5911yescharacteristic
1663C22×C4C23×D5911yescharacteristic
1664C22×C4C23×D5911yescharacteristic
1665C22×C4C23×D5911yescharacteristic
1666C4⋊C4—22no—
1667C4⋊C4—22no—
1668C4⋊C4—22no—
1669C4⋊C4—41no—
1670C4⋊C4—594no—
1671C4⋊C4—594no—
1672C4⋊C4—594no—
1673C4⋊C4—1182no—
1674C4⋊C4—1182no—
1675C4⋊C4—1182no—
1676C4⋊C4—1182no—
1677C4⋊C4—1182no—
1678C4⋊C4—1182no—
1679C4⋊C4—1182no—
1680C4⋊C4—1182no—
1681C4⋊C4—1182no—
1682C4⋊C4—2361no—
1683C4⋊C4—2361no—
1684C4⋊C4—2361no—
1685C4⋊C4D4×D5914yescomplemented
1686C22⋊C4—22no—
1687C22⋊C4—22no—
1688C22⋊C4—22no—
1689C22⋊C4—22no—
1690C22⋊C4—22no—
1691C22⋊C4—22no—
1692C22⋊C4—22no—
1693C22⋊C4—22no—
1694C22⋊C4—22no—
1695C22⋊C4—41no—
1696C22⋊C4—41no—
1697C22⋊C4—41no—
1698C22⋊C4—594no—
1699C22⋊C4—594no—
1700C22⋊C4—594no—
1701C22⋊C4—1182no—
1702C22⋊C4—1182no—
1703C22⋊C4—1182no—
1704C22⋊C4—1182no—
1705C22⋊C4—1182no—
1706C22⋊C4—1182no—
1707C22⋊C4—1182no—
1708C22⋊C4—1182no—
1709C22⋊C4—1182no—
1710C22⋊C4—1182no—
1711C22⋊C4—1182no—
1712C22⋊C4—1182no—
1713C22⋊C4—1182no—
1714C22⋊C4—1182no—
1715C22⋊C4—1182no—
1716C22⋊C4—1182no—
1717C22⋊C4—1182no—
1718C22⋊C4—1182no—
1719C22⋊C4—1182no—
1720C22⋊C4—1182no—
1721C22⋊C4—1182no—
1722C22⋊C4—1182no—
1723C22⋊C4—1182no—
1724C22⋊C4—1182no—
1725C22⋊C4—1182no—
1726C22⋊C4—1182no—
1727C22⋊C4—1182no—
1728C22⋊C4—2361no—
1729C22⋊C4—2361no—
1730C22⋊C4—2361no—
1731C22⋊C4—2361no—
1732C22⋊C4—2361no—
1733C22⋊C4—2361no—
1734C22⋊C4—2361no—
1735C22⋊C4—2361no—
1736C22⋊C4—2361no—
1737C22⋊C4D4×D5914yescomplemented
1738C42—22no—
1739C42—22no—
1740C42—1182no—
1741C42—1182no—
1742C42—1182no—
1743C42—1182no—
1744C42—1182no—
1745C42—1182no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—592no—
1772C23—592no—
1773C23—592no—
1774C23—592no—
1775C23—592no—
1776C23—592no—
1777C23—592no—
1778C23—592no—
1779C23—592no—
1780C23—592no—
1781C23—1188no—
1782C23—1188no—
1783C23—1188no—
1784C23—1188no—
1785C23—1188no—
1786C23—1188no—
1787C23—1188no—
1788C23—1188no—
1789C23—1188no—
1790C23—1181no—
1791C23—1181no—
1792C23—1181no—
1793C23—1181no—
1794C23—1181no—
1795C23—1181no—
1796C23—1181no—
1797C23—1181no—
1798C23—1181no—
1799C23—1181no—
1800C23—1181no—
1801C23—1181no—
1802C23—1181no—
1803C23—1181no—
1804C23—1181no—
1805C23—1181no—
1806C23—1181no—
1807C23—1181no—
1808C23—1181no—
1809C23—1181no—
1810C23—1181no—
1811C23—1181no—
1812C23—1181no—
1813C23—1181no—
1814C23—1181no—
1815C23—2364no—
1816C23—2364no—
1817C23—2364no—
1818C23—2364no—
1819C23—2364no—
1820C23—2364no—
1821C23—2364no—
1822C23—2364no—
1823C23—2364no—
1824C23—2364no—
1825C23—2364no—
1826C23—2364no—
1827C23—2364no—
1828C23—2364no—
1829C23—2364no—
1830C23—2364no—
1831C23—2364no—
1832C23—2364no—
1833C23—2364no—
1834C23C2×D4×D5912yes—
1835C23#41×D5912yes—
1836C23#41×D5912yes—
1837C23C24×D5911yescharacteristic
1838D4—28no—
1839D4—28no—
1840D4—44no—
1841D4—44no—
1842D4—44no—
1843D4—44no—
1844D4—1188no—
1845D4—1188no—
1846D4—1188no—
1847D4—1188no—
1848D4—1188no—
1849D4—1188no—
1850D4—2364no—
1851D4—2364no—
1852D4—2364no—
1853D4—2364no—
1854D4—2364no—
1855D4—2364no—
1856D4—2364no—
1857D4—2364no—
1858D4—2364no—
1859D4—2364no—
1860D4—2364no—
1861D4—2364no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—592no—
1893C2×C4—592no—
1894C2×C4—592no—
1895C2×C4—592no—
1896C2×C4—592no—
1897C2×C4—592no—
1898C2×C4—1188no—
1899C2×C4—1188no—
1900C2×C4—1188no—
1901C2×C4—1188no—
1902C2×C4—1188no—
1903C2×C4—1188no—
1904C2×C4—1181no—
1905C2×C4—1181no—
1906C2×C4—1181no—
1907C2×C4—1181no—
1908C2×C4—1181no—
1909C2×C4—1181no—
1910C2×C4—1181no—
1911C2×C4—1181no—
1912C2×C4—1181no—
1913C2×C4—1181no—
1914C2×C4—1181no—
1915C2×C4—1181no—
1916C2×C4—1181no—
1917C2×C4—1181no—
1918C2×C4—1181no—
1919C2×C4—1181no—
1920C2×C4—1181no—
1921C2×C4—1181no—
1922C2×C4—1181no—
1923C2×C4—1181no—
1924C2×C4—1181no—
1925C2×C4—1181no—
1926C2×C4—1181no—
1927C2×C4—1181no—
1928C2×C4—1181no—
1929C2×C4—1181no—
1930C2×C4—1181no—
1931C2×C4—2364no—
1932C2×C4—2364no—
1933C2×C4—2364no—
1934C2×C4—2364no—
1935C2×C4—2364no—
1936C2×C4—2364no—
1937C2×C4—2364no—
1938C2×C4—2364no—
1939C2×C4—2364no—
1940C2×C4—2364no—
1941C2×C4—2364no—
1942C2×C4—2364no—
1943C2×C4—2364no—
1944C2×C4—2364no—
1945C2×C4C2×D4×D5912yes—
1946C2×C4C2×D4×D5912yes—
1947C2×C4C2×D4×D5912yes—
1948C2×C4C2×D4×D5912yes—
1949C2×C4C2×D4×D5912yes—
1950C2×C4#41×D5912yes—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—41no—
1967C22—41no—
1968C22—41no—
1969C22—41no—
1970C22—41no—
1971C22—41no—
1972C22—41no—
1973C22—41no—
1974C22—41no—
1975C22—41no—
1976C22—41no—
1977C22—41no—
1978C22—41no—
1979C22—594no—
1980C22—594no—
1981C22—594no—
1982C22—594no—
1983C22—594no—
1984C22—594no—
1985C22—594no—
1986C22—1182no—
1987C22—1182no—
1988C22—1182no—
1989C22—1182no—
1990C22—1182no—
1991C22—1182no—
1992C22—1182no—
1993C22—1182no—
1994C22—1182no—
1995C22—4728no—
1996C22—23616no—
1997C22—23616no—
1998C22—23616no—
1999C22—2361no—
2000C22—2361no—
2001C22—2361no—
2002C22—2361no—
2003C22—2361no—
2004C22—2361no—
2005C22—2361no—
2006C22—2361no—
2007C22—2361no—
2008C22—2361no—
2009C22—2361no—
2010C22—2361no—
2011C22—2361no—
2012C22—2361no—
2013C22—2361no—
2014C22—2361no—
2015C22—2361no—
2016C22—2361no—
2017C22—2361no—
2018C22C22×D4×D5911yescharacteristic
2019C22C22×D4×D5911yescharacteristic
2020C22C2×#41×D5911yescharacteristic
2021C22C2×#41×D5911yescharacteristic
2022C22C2×#41×D5911yescharacteristic
2023C22H(5,𝔽2)×D5911yescharacteristic
2024C22H(5,𝔽2)×D5911yescharacteristic
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—41no—
2032C4—41no—
2033C4—41no—
2034C4—41no—
2035C4—41no—
2036C4—1182no—
2037C4—1182no—
2038C4—1182no—
2039C4—1182no—
2040C4—1182no—
2041C4—1182no—
2042C4—2361no—
2043C4—2361no—
2044C4—2361no—
2045C4—2361no—
2046C4—2361no—
2047C2—42no—
2048C2—42no—
2049C2—42no—
2050C2—81no—
2051C2—598no—
2052C2—4721no—
2053C2—2362no—
2054C2—2362no—
2055C2—2362no—
2056C2#525×D5911yescharacteristic
2057C2#525×D5911yescharacteristic
2058C2#538×D5911yescharacteristic
2059C2D42×D5911yescharacteristic
2060C2#546×D5911yescharacteristic
2061C2#550×D5911yescharacteristic
2062C2#553×D5911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2456C2
hypercenter#2456D59
hypocenterC59C2×#2456
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#123×D59C2semidirect
2. C2×#121×D59C2semidirect
3. C2×C4×D4×D59C2semidirect
4. C2×C4×D4×D59C2semidirect
5. #21427995C2semidirect
6. #21427994C2semidirect
7. #21427993C2semidirect
8. #21427992C2semidirect
9. #21427991C2semidirect
10. #21427990C2semidirect
11. #21427989C2semidirect
12. #21427988C2semidirect
13. #21427987C2semidirect
14. #21427986C2semidirect
15. #21427985C2semidirect
16. #21427984C2semidirect
17. #21427983C2semidirect
18. #21427982C2semidirect
19. #21427981C2semidirect
20. #396×D59C2semidirect
21. #392×D59C2semidirect
22. #392×D59C2semidirect
23. #392×D59C2semidirect
24. #390×D59C2semidirect
25. #388×D59C2semidirect
26. #388×D59C2semidirect
27. #387×D59C2semidirect
28. #386×D59C2semidirect
29. #386×D59C2semidirect
30. #385×D59C2semidirect
31. C59×#2456C2semidirect
41. C2×#14273712C22semidirect
42. C2×#14273712C22semidirect
43. C2×#14273711C22semidirect
44. C2×#14273710C22semidirect
45. C2×#14273709C22semidirect
46. C2×#14273709C22semidirect
47. C2×#14273708C22semidirect
49. C2×#14273702C22semidirect
50. C2×#14273701C22semidirect
51. C2×#14273700C22semidirect
52. C2×#14273700C22semidirect
53. C2×#14273699C22semidirect
54. C2×#14273699C22semidirect
55. C2×#14273698C22semidirect
57. C2×C4×D236C22semidirect
58. C2×C4×D236C22semidirect
59. C2×D4×Dic59C22semidirect
60. C2×D4×Dic59C22semidirect
61. C2×#14273689C22semidirect
62. C2×#14273689C22semidirect
63. C2×C4×C22⋊D59C22semidirect
64. C2×C4×C22⋊D59C22semidirect
65. C2×C4×C22⋊D59C22semidirect
66. C2×C4×C22⋊D59C22semidirect
67. C2×(C22⋊D59)⋊C4C22semidirect
68. C2×(C22⋊D59)⋊C4C22semidirect
69. C2×(C22⋊D59)⋊C4C22semidirect
70. C2×(C22⋊D59)⋊C4C22semidirect
93. #16837326C22semidirect
94. #16837325C22semidirect
95. #16837325C22semidirect
96. #16837325C22semidirect
97. #16837324C22semidirect
98. #16837324C22semidirect
99. #16837324C22semidirect
100. #16837312C22semidirect
101. #16837312C22semidirect
102. #16837312C22semidirect
103. #16837311C22semidirect
104. #16837311C22semidirect
105. #16837311C22semidirect
106. #16837311C22semidirect
107. #16837311C22semidirect
108. #16837311C22semidirect
109. #16837311C22semidirect
110. #16837311C22semidirect
111. #16837311C22semidirect
112. #16837310C22semidirect
113. #16837310C22semidirect
114. #16837310C22semidirect
115. #16837310C22semidirect
116. #16837310C22semidirect
117. #16837310C22semidirect
118. #16837310C22semidirect
119. #16837310C22semidirect
120. #16837310C22semidirect
121. #16837305C22semidirect
122. #16837304C22semidirect
123. #16837303C22semidirect
124. #16837302C22semidirect
125. #16837302C22semidirect
126. #16837302C22semidirect
127. #16837302C22semidirect
128. #16837296C22semidirect
129. #16837296C22semidirect
130. #16837295C22semidirect
131. #16837295C22semidirect
132. #16837294C22semidirect
133. #16837294C22semidirect
134. #16837293C22semidirect
135. #16837293C22semidirect
136. #16837292C22semidirect
137. #16837292C22semidirect
138. #16837291C22semidirect
139. #16837291C22semidirect
140. #16837290C22semidirect
141. #16837290C22semidirect
142. #16837289C22semidirect
143. #16837288C22semidirect
144. #16837287C22semidirect
145. #16837286C22semidirect
146. #16837285C22semidirect
147. #16837284C22semidirect
148. #16837283C22semidirect
149. #16837282C22semidirect
150. #16837282C22semidirect
151. #16837281C22semidirect
152. #16837281C22semidirect
153. #16837280C22semidirect
154. #16837280C22semidirect
155. #16837280C22semidirect
156. #16837280C22semidirect
157. #16837279C22semidirect
158. #16837279C22semidirect
159. #16837278C22semidirect
160. #16837278C22semidirect
161. #16837278C22semidirect
162. #16837278C22semidirect
163. #16837277C22semidirect
164. #16837276C22semidirect
165. #16837276C22semidirect
166. #16837275C22semidirect
167. #16837274C22semidirect
168. #16837273C22semidirect
169. #16837273C22semidirect
176. C2×#123×C59C22semidirect
177. C2×#121×C59C22semidirect
178. C2×C4×D4×C59C22semidirect
179. C2×C4×D4×C59C22semidirect
180. C59×#396C22semidirect
181. C59×#392C22semidirect
182. C59×#392C22semidirect
183. C59×#392C22semidirect
184. C59×#390C22semidirect
185. C59×#388C22semidirect
186. C59×#388C22semidirect
187. C59×#387C22semidirect
188. C59×#386C22semidirect
189. C59×#386C22semidirect
190. C59×#385C22semidirect
307. C4⋊C4×D59D4semidirect
359. C22⋊C4×D59D4semidirect
638. C4⋊C4×C59C2×D4semidirect
651. C22⋊C4×C59C2×D4semidirect
666. C22⋊Dic59C2×D4semidirect
691. (C2×D59)⋊C4C2×D4semidirect
692. (C2×D59)⋊C4C2×D4semidirect
697. C4⋊Dic59C2×D4semidirect
706. Dic59⋊C4C2×D4semidirect
707. Dic59⋊C4C2×D4semidirect
1035. #2456D59direct (N × H)
1062. D59#2456direct (N × H)
1080. C2×#123C2×D59semidirect
1089. C2×#121C2×D59semidirect
1106. C2×C4×D4C2×D59semidirect
1107. C2×C4×D4C2×D59semidirect
1135. #396C2×D59semidirect
1157. #392C2×D59semidirect
1158. #392C2×D59semidirect
1159. #392C2×D59semidirect
1167. #390C2×D59semidirect
1182. #388C2×D59semidirect
1183. #388C2×D59semidirect
1191. #387C2×D59semidirect
1206. #386C2×D59semidirect
1207. #386C2×D59semidirect
1215. #385C2×D59semidirect
1222. C59C2×#2456semidirect
1685. C4⋊C4D4×D59semidirect
1737. C22⋊C4D4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D592
C2×#121×D592
C2×C4×D4×D592
#214279952
#214279942
#214279932
#214279922
#214279912
#214279902
#214279892
#214279882
#214279872
#214279862
#214279852
#214279842
#214279832
#214279822
#214279812
#396×D592
#392×D592
#390×D592
#388×D592
#387×D592
#386×D592
#385×D592
C59×#24562
C2×#245659