Finite Group Databasebeta

← #28761695

Subgroups — #28761695

Order 15104.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837995C211yesmaximal, characteristic, complemented
2C2×#16837984C211yesmaximal, characteristic, complemented
3#21432465C211yesmaximal, characteristic, complemented
4#21432460C211yesmaximal, characteristic, complemented
5#21432425C211yesmaximal, characteristic, complemented
6#21432395C211yesmaximal, characteristic, complemented
7#21430261C211yesmaximal, characteristic, complemented
8#21430244C211yesmaximal, characteristic, complemented
9#21430237C211yesmaximal, characteristic, complemented
10#21429241C211yesmaximal, characteristic, complemented
11#21429218C211yesmaximal, characteristic, complemented
12#21429211C211yesmaximal, characteristic, complemented
13#21429188C211yesmaximal, characteristic, complemented
14#21429103C211yesmaximal, characteristic, complemented
15#21429051C211yesmaximal, characteristic, complemented
16#21429021C211yesmaximal, characteristic, complemented
17#21428981C211yesmaximal, characteristic, complemented
18#21428800C211yesmaximal, characteristic, complemented
19#21428772C211yesmaximal, characteristic, complemented
20#21428425C211yesmaximal, characteristic, complemented
21#21428217C211yesmaximal, characteristic, complemented
22#21428095C211yesmaximal, characteristic, complemented
23#21428058C211yesmaximal, characteristic, complemented
24#21427648C211yesmaximal, characteristic, complemented
25#21427635C211yesmaximal, characteristic, complemented
26#21426766C211yesmaximal, characteristic, complemented
27#21426755C211yesmaximal, characteristic, complemented
28#21426612C211yesmaximal, characteristic, complemented
29#388×D59C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2661C211yesmaximal, characteristic, complemented
32#16837995—28no—
33#16837984—28no—
34C2×#14273722C2211yescharacteristic
35C2×#14273720C2211yescharacteristic
36C2×#14273720C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273718C2211yescharacteristic, complemented
39C2×#14273717C2211yescharacteristic, complemented
40C2×#14273714C2211yescharacteristic
41C2×#14273714C2211yescharacteristic
42C2×#14273713C2211yescharacteristic
43C2×#14273710C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273709C2211yescharacteristic
47C2×#14273708C2211yescharacteristic
48C2×#14273708C2211yescharacteristic, complemented
49C2×#14273706C2211yescharacteristic, complemented
50C2×#14273705C2211yescharacteristic
51C2×#14273705C2211yescharacteristic
52C2×#14273704C2211yescharacteristic, complemented
53C2×#14273699C2211yescharacteristic
54C2×#14273699C2211yescharacteristic
55C2×#14273698C2211yescharacteristic
56C2×#14273698C2211yescharacteristic
57C2×#14273698C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×#14273695C2211yescharacteristic
60C2×#14273695C2211yescharacteristic
61C2×D4×Dic59C2211yescharacteristic, complemented
62C2×C4×C22⋊D59C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×(C22⋊D59)⋊C4C2211yescharacteristic
67C2×C4⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C22×C4×Dic59C2211yescharacteristic, complemented
72C2×C42×D59C2211yescharacteristic
73#16837343C2211yescharacteristic, complemented
74#16837342C2211yescharacteristic, complemented
75#16837339C2211yescharacteristic
76#16837338C2211yescharacteristic
77#16837336C2211yescharacteristic, complemented
78#16837336C2211yescharacteristic, complemented
79#16837334C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic
81#16837327C2211yescharacteristic, complemented
82#16837327C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic
84#16837325C2211yescharacteristic
85#16837325C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic
87#16837323C2211yescharacteristic, complemented
88#16837322C2211yescharacteristic, complemented
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic
93#16837316C2211yescharacteristic, complemented
94#16837315C2211yescharacteristic
95#16837314C2211yescharacteristic, complemented
96#16837310C2211yescharacteristic
97#16837307C2211yescharacteristic, complemented
98#16837306C2211yescharacteristic, complemented
99#16837306C2211yescharacteristic, complemented
100#16837305C2211yescharacteristic
101#16837305C2211yescharacteristic
102#16837305C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837301C2211yescharacteristic, complemented
108#16837300C2211yescharacteristic, complemented
109#16837300C2211yescharacteristic, complemented
110#16837298C2211yescharacteristic, complemented
111#16837297C2211yescharacteristic, complemented
112#16837297C2211yescharacteristic, complemented
113#16837296C2211yescharacteristic
114#16837296C2211yescharacteristic
115#16837296C2211yescharacteristic
116#16837296C2211yescharacteristic, complemented
117#16837296C2211yescharacteristic, complemented
118#16837296C2211yescharacteristic, complemented
119#16837296C2211yescharacteristic, complemented
120#16837295C2211yescharacteristic
121#16837295C2211yescharacteristic
122#16837295C2211yescharacteristic, complemented
123#16837295C2211yescharacteristic, complemented
124#16837294C2211yescharacteristic
125#16837294C2211yescharacteristic
126#16837293C2211yescharacteristic
127#16837293C2211yescharacteristic
128#16837292C2211yescharacteristic
129#16837292C2211yescharacteristic
130#16837292C2211yescharacteristic
131#16837291C2211yescharacteristic
132#16837291C2211yescharacteristic
133#16837290C2211yescharacteristic
134#16837290C2211yescharacteristic
135#16837290C2211yescharacteristic, complemented
136#16837290C2211yescharacteristic, complemented
137#16837289C2211yescharacteristic, complemented
138#16837285C2211yescharacteristic, complemented
139#16837282C2211yescharacteristic
140#16837282C2211yescharacteristic
141#16837282C2211yescharacteristic
142#16837282C2211yescharacteristic, complemented
143#16837282C2211yescharacteristic, complemented
144#16837282C2211yescharacteristic, complemented
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic
151#16837277C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic
153#16837274C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic
155#16837267C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic
157#16837260C2211yescharacteristic, complemented
158#16837259C2211yescharacteristic
159#16837257C2211yescharacteristic
160C4⋊C4×Dic59C2211yescharacteristic, complemented
161C4×Dic59⋊C4C2211yescharacteristic, complemented
162#16837253C2211yescharacteristic, complemented
163#16837253C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C4×(C2×D59)⋊C4C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic
176C59×#398C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#394C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic
182C59×#392C2211yescharacteristic
183C59×#392C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic
185C59×#390C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic
187C59×#388C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208#14273722—24no—
209#14273720—24no—
210#14273720—24no—
211#14273720—24no—
212#14273718—24no—
213#14273717—24no—
214#14273714—24no—
215#14273714—42no—
216#14273713—24no—
217#14273710—24no—
218#14273709—24no—
219#14273709—24no—
220#14273709—24no—
221#14273708—24no—
222#14273708—24no—
223#14273706—24no—
224#14273705—24no—
225#14273705—24no—
226#14273704—24no—
227#14273699—24no—
228#14273699—42no—
229#14273698—24no—
230#14273698—24no—
231#14273698—24no—
232#14273695—24no—
233#14273695—24no—
234#14273695—24no—
235D4×Dic59—42no—
236C4×C22⋊D59D418yescomplemented
237(C22⋊D59)⋊C4—24no—
238(C22⋊D59)⋊C4—24no—
239(C22⋊D59)⋊C4—24no—
240(C22⋊D59)⋊C4—24no—
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C4⋊C4×D59—24no—
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C22⋊C4×D59—24no—
305C22⋊C4×D59—24no—
306C22⋊C4×D59—42no—
307C2×C4×Dic59—42no—
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C42×D59—42no—
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355#123×C59—24no—
356#121×C59—24no—
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C24×C59C2411yescharacteristic
388C24×C59C2411yescharacteristic
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59C2411yescharacteristic
397C23×D59C2411yescharacteristic
398C2×D4×C59—22no—
399C2×D4×C59—22no—
400C2×D4×C59—22no—
401C2×D4×C59—22no—
402C2×D4×C59—22no—
403C2×D4×C59—22no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C2×D4×C59—41no—
408C2×D4×C59—41no—
409C2×D4×C59—41no—
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C22×C4×C59—41no—
417C22×C4×C59—41no—
418C22×C4×C59C2×D414yes—
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59C2×D414yes—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—22no—
451C22×Dic59—22no—
452C22×Dic59—22no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59—41no—
459C22×Dic59—41no—
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C2×C4×D59—22no—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59C2×D414yes—
491C2×C4×D59#4114yes—
492C2×Dic118—22no—
493C2×Dic118—22no—
494C2×Dic118—41no—
495C2×Dic118—41no—
496C2×Dic118—41no—
497C2×Dic118—41no—
498C4⋊C4×C59—22no—
499C4⋊C4×C59—22no—
500C4⋊C4×C59—22no—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—22no—
507C22⋊C4×C59—22no—
508C22⋊C4×C59—22no—
509C22⋊C4×C59—22no—
510C22⋊C4×C59—22no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C42×C59—41no—
519C42×C59—41no—
520C22⋊Dic59—22no—
521C22⋊Dic59—22no—
522C22⋊Dic59—22no—
523C22⋊Dic59—22no—
524C22⋊Dic59—22no—
525C22⋊Dic59—22no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—22no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—22no—
534C22⋊Dic59—22no—
535C22⋊Dic59—22no—
536C22⋊Dic59—22no—
537C22⋊Dic59—41no—
538C22⋊Dic59—41no—
539C22⋊Dic59—41no—
540C22⋊Dic59C2×D414yes—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4C2×D414yes—
556(C2×D59)⋊C4#4114yes—
557C4⋊Dic59—22no—
558C4⋊Dic59—22no—
559C4⋊Dic59—22no—
560C4⋊Dic59—22no—
561C4⋊Dic59—22no—
562C4⋊Dic59—22no—
563C4⋊Dic59—22no—
564C4⋊Dic59—41no—
565C4⋊Dic59—41no—
566Dic59⋊C4—22no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—22no—
570Dic59⋊C4—22no—
571Dic59⋊C4—22no—
572Dic59⋊C4—22no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581Dic59⋊C4C2×D414yes—
582C4×Dic59—22no—
583C4×Dic59—22no—
584C4×Dic59—22no—
585C4×Dic59—22no—
586C4×Dic59—22no—
587C4×Dic59—22no—
588C4×Dic59—22no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59C2×D414yes—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59C22×D412yes—
623C23×C59C2511yescharacteristic
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—44no—
636C22×D59—44no—
637C22×D59—44no—
638C22×D59—82no—
639C22×D59—82no—
640C22×D59—82no—
641C22×D59—82no—
642C22×D59C22×D412yes—
643C22×D59C2×#4112yes—
644C22×D59C2×#4112yes—
645D4×C59—44no—
646D4×C59—82no—
647D4×C59—82no—
648D4×C59—82no—
649D4×C59—82no—
650D4×C59—82no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—44no—
681C2×C4×C59C22×D412yes—
682C2×C4×C59C22×D412yes—
683C2×C4×C59C2×#4112yes—
684C2×C4×C59C2×#4112yes—
685C22⋊D59—28no—
686C22⋊D59—44no—
687C22⋊D59—44no—
688C22⋊D59—82no—
689C22⋊D59—82no—
690C22⋊D59—82no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—44no—
728C2×Dic59—44no—
729C2×Dic59—82no—
730C2×Dic59—82no—
731C2×Dic59C22×D412yes—
732C2×Dic59C22×D412yes—
733C2×Dic59C22×D412yes—
734C2×Dic59C2×#4112yes—
735C2×Dic59C2×#4112yes—
736C2×Dic59H(5,𝔽2)12yes—
737C4×D59—44no—
738C4×D59—44no—
739C4×D59—44no—
740C4×D59—44no—
741C4×D59—82no—
742C4×D59—82no—
743Dic118—82no—
744Dic118—82no—
745#35009—591nomaximal, Sylow
746C22×C59—22no—
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—41no—
750C22×C59—41no—
751C22×C59—41no—
752C22×C59—41no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59—41no—
762C22×C59—41no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59C23×D411yescharacteristic
775C22×C59C22×#4111yescharacteristic
776C22×C59C22×#4111yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C22×C59#58511yescharacteristic
779C22×C59#58511yescharacteristic
780C22×C59#58511yescharacteristic
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—88no—
795C2×D59#53214yes—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807Dic59—22no—
808Dic59—22no—
809Dic59—22no—
810Dic59—22no—
811Dic59—22no—
812Dic59—22no—
813Dic59—41no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821C2×#539—591no—
822C2×#538—591no—
823#2861—591no—
824#2860—591no—
825#2854—591no—
826#2850—591no—
827#2664—591no—
828#2663—591no—
829#2662—591no—
830#2661D5911yescharacteristic, complemented
831#2560—591no—
832#2559—591no—
833#2558—591no—
834#2557—591no—
835#2549—591no—
836#2543—591no—
837#2539—591no—
838#2534—591no—
839#2521—591no—
840#2519—591no—
841#2488—591no—
842#2472—591no—
843#2464—591no—
844#2461—591no—
845#2425—591no—
846#2424—591no—
847#2322—591no—
848#2321—591no—
849C4×#121—591no—
850C2×#388—591no—
851C42×D4—591no—
852C2×C59—42no—
853C2×C59—81no—
854C2×C59—81no—
855C2×C59—81no—
856C2×C59C2×#53211yescharacteristic
857C2×C59#345511yescharacteristic
858C2×C59#345911yescharacteristic
859C2×C59#349611yescharacteristic
860C2×C59#350011yescharacteristic
861C2×C59#351311yescharacteristic
862C2×C59#352111yescharacteristic
863D59—24no—
864D59—81no—
865#539—1188no—
866#538—1188no—
867C2×#126—591no—
868C2×#126—591no—
869C2×#126—591no—
870C2×#126—591no—
871C2×#125—591no—
872C2×#125—591no—
873C2×#124—591no—
874C2×#124—591no—
875C2×#124—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×#123—591no—
879C2×#123—591no—
880C2×#123—591no—
881C2×#123—591no—
882C2×#123C2×D5911yescharacteristic, complemented
883C2×C22⋊Q8—591no—
884C2×C22⋊Q8—591no—
885C2×C22⋊Q8—591no—
886C2×C22⋊Q8—591no—
887C2×#121—591no—
888C2×#121—591no—
889C2×#121—591no—
890C2×#121—591no—
891C2×#121—591no—
892C2×#121C2×D5911yescharacteristic
893C2×#120—591no—
894C2×#120—591no—
895C2×#120—591no—
896C2×C4×D4—591no—
897C2×C4×D4—591no—
898C2×C4×D4—591no—
899C2×C4×D4—591no—
900C2×C4×D4—591no—
901C2×C4×D4—591no—
902C22×C4⋊C4—591no—
903C22×C22⋊C4—591no—
904C22×C22⋊C4—591no—
905C22×C22⋊C4—591no—
906C22×C42—591no—
907C22×C42—591no—
908#400—591no—
909#400—591no—
910#399—591no—
911#399—591no—
912#398—591no—
913#398—591no—
914#398—591no—
915#398C2×D5911yescharacteristic, complemented
916#397—591no—
917#397—591no—
918#397—591no—
919#397C2×D5911yescharacteristic, complemented
920#396—591no—
921#396—591no—
922#396—591no—
923#396—591no—
924#395—591no—
925#395—591no—
926#394—591no—
927#394—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394C2×D5911yescharacteristic
932#394C2×D5911yescharacteristic
933#394C2×D5911yescharacteristic, complemented
934#393—591no—
935#393—591no—
936#392—591no—
937#392C2×D5911yescharacteristic
938#392C2×D5911yescharacteristic
939#392C2×D5911yescharacteristic, complemented
940#391—591no—
941#391—591no—
942#391—591no—
943#390—591no—
944#390—591no—
945#390—591no—
946#390—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390C2×D5911yescharacteristic
951#390C2×D5911yescharacteristic, complemented
952#389—591no—
953#389—591no—
954#389—591no—
955#389—591no—
956#389—591no—
957#389—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388C2×D5911yescharacteristic
983#388C2×D5911yescharacteristic, complemented
984#387—591no—
985#387—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#382—591no—
1003#381—591no—
1004#380—591no—
1005#380—591no—
1006#379—591no—
1007C4×C4⋊C4—591no—
1008C4×C4⋊C4—591no—
1009C4×C4⋊C4—591no—
1010C4×C4⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4C2×D5911yescharacteristic, complemented
1019C2×#95—591no—
1020C2×#95—591no—
1021C43—591no—
1022C59#3500911yescharacteristic, complemented, Sylow
1023C25—591no—
1024C22×Q8—591no—
1025C22×Q8—591no—
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C22×D4—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4C22×D5911yescharacteristic
1033C22×D4C22×D5911yescharacteristic
1034C22×D4C22×D5911yescharacteristic
1035C22×D4C22×D5911yescharacteristic
1036C22×D4C22×D5911yescharacteristic
1037C22×D4C22×D5911yescharacteristic
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4C22×D5911yescharacteristic
1049#126—1184no—
1050#126—1184no—
1051#126—1184no—
1052#126—1184no—
1053#125—1184no—
1054#125—1184no—
1055#124—1184no—
1056#124—1184no—
1057#124—2362no—
1058#123—24no—
1059#123—1184no—
1060#123—1184no—
1061#123—1184no—
1062#123—1184no—
1063#123—1184no—
1064#123—1184no—
1065C22⋊Q8—1184no—
1066C22⋊Q8—1184no—
1067C22⋊Q8—1184no—
1068C22⋊Q8—1184no—
1069#121—24no—
1070#121—1184no—
1071#121—1184no—
1072#121—1184no—
1073#121—1184no—
1074#121—2362no—
1075#120—1184no—
1076#120—1184no—
1077#120—1184no—
1078C4×D4—598no—
1079C4×D4—1184no—
1080C4×D4—1184no—
1081C4×D4—1184no—
1082C4×D4—1184no—
1083C4×D4—2362no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—591no—
1093C2×C4⋊C4—591no—
1094C2×C4⋊C4—591no—
1095C2×C4⋊C4—591no—
1096C2×C4⋊C4—591no—
1097C2×C4⋊C4—591no—
1098C2×C4⋊C4—591no—
1099C2×C4⋊C4—591no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—1184no—
1110C2×C4⋊C4C22×D5911yescharacteristic
1111C2×C4⋊C4C22×D5911yescharacteristic
1112C2×C4⋊C4C22×D5911yescharacteristic
1113C2×C4⋊C4C22×D5911yescharacteristic
1114C2×C4⋊C4C22×D5911yescharacteristic
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—1184no—
1153C2×C22⋊C4—1184no—
1154C2×C22⋊C4—2362no—
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C22⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4C22×D5911yescharacteristic
1158C2×C22⋊C4C22×D5911yescharacteristic
1159C2×C22⋊C4C22×D5911yescharacteristic
1160C2×C22⋊C4C22×D5911yescharacteristic
1161C2×C22⋊C4C22×D5911yescharacteristic
1162C2×C22⋊C4C22×D5911yescharacteristic
1163C2×C22⋊C4C22×D5911yescharacteristic
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C42—591no—
1171C2×C42—591no—
1172C2×C42—591no—
1173C2×C42—591no—
1174C2×C42—591no—
1175C2×C42—591no—
1176C2×C42—591no—
1177C2×C42—591no—
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—2362no—
1184C2×C42—2362no—
1185C2×C42C22×D5911yescharacteristic
1186C2×C42C22×D5911yescharacteristic
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95C22×D5911yescharacteristic
1214#95C22×D5911yescharacteristic
1215#95C22×D5911yescharacteristic
1216#95C22×D5911yescharacteristic
1217#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
1219C24—591no—
1220C24—591no—
1221C24—1182no—
1222C24—1182no—
1223C24—1182no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24C23×D5911yescharacteristic
1229C24C23×D5911yescharacteristic
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232C2×Q8—1182no—
1233C2×Q8—1182no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×Q8—2361no—
1237C2×Q8—2361no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—594no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—591no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—594no—
1283C22×C4—594no—
1284C22×C4—591no—
1285C22×C4—591no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—1182no—
1293C22×C4—1182no—
1294C22×C4—1182no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—1182no—
1302C22×C4—1182no—
1303C22×C4—1182no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4D4×D5914yes—
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—594no—
1338C4⋊C4—1182no—
1339C4⋊C4—1182no—
1340C4⋊C4—1182no—
1341C4⋊C4—1182no—
1342C4⋊C4—1182no—
1343C4⋊C4—1182no—
1344C4⋊C4—1182no—
1345C4⋊C4—1182no—
1346C4⋊C4—1182no—
1347C4⋊C4—1182no—
1348C4⋊C4—1182no—
1349C4⋊C4—1182no—
1350C4⋊C4—1182no—
1351C4⋊C4—1182no—
1352C4⋊C4—1182no—
1353C4⋊C4—1182no—
1354C4⋊C4—1182no—
1355C4⋊C4—1182no—
1356C4⋊C4—1182no—
1357C4⋊C4—1182no—
1358C4⋊C4—2361no—
1359C4⋊C4—2361no—
1360C4⋊C4—2361no—
1361C4⋊C4—2361no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—594no—
1378C22⋊C4—594no—
1379C22⋊C4—594no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—1182no—
1383C22⋊C4—1182no—
1384C22⋊C4—1182no—
1385C22⋊C4—1182no—
1386C22⋊C4—1182no—
1387C22⋊C4—1182no—
1388C22⋊C4—1182no—
1389C22⋊C4—1182no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—2361no—
1409C22⋊C4—2361no—
1410C22⋊C4—2361no—
1411C22⋊C4—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C42—41no—
1415C42—41no—
1416C42—594no—
1417C42—1182no—
1418C42—1182no—
1419C42—1182no—
1420C42—1182no—
1421C42—1182no—
1422C42—1182no—
1423C42—1182no—
1424C42—2361no—
1425C42—2361no—
1426C42—2361no—
1427C42—2361no—
1428C42—2361no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—592no—
1457C23—592no—
1458C23—592no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—4722no—
1471C23—4722no—
1472C23—4722no—
1473C23—4722no—
1474C23—2364no—
1475C23—2364no—
1476C23—2364no—
1477C23C2×D4×D5912yes—
1478C23C24×D5911yescharacteristic
1479Q8—4722no—
1480Q8—4722no—
1481D4—44no—
1482D4—82no—
1483D4—82no—
1484D4—82no—
1485D4—82no—
1486D4—82no—
1487D4—1188no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—2364no—
1492D4—2364no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—592no—
1524C2×C4—592no—
1525C2×C4—592no—
1526C2×C4—592no—
1527C2×C4—592no—
1528C2×C4—592no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—4722no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—2364no—
1570C2×C4—2364no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4C2×D4×D5912yes—
1576C2×C4C2×D4×D5912yes—
1577C2×C4#41×D5912yes—
1578C2×C4#41×D5912yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—594no—
1608C22—1182no—
1609C22—1182no—
1610C22—1182no—
1611C22—1182no—
1612C22—1182no—
1613C22—1182no—
1614C22—4728no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22C22×D4×D5911yescharacteristic
1623C22C2×#41×D5911yescharacteristic
1624C22C2×#41×D5911yescharacteristic
1625C22H(5,𝔽2)×D5911yescharacteristic
1626C22#1683823711yescharacteristic
1627C22#1683823711yescharacteristic
1628C22#1683823711yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—1182no—
1641C4—1182no—
1642C4—1182no—
1643C4—1182no—
1644C4—1182no—
1645C4—1182no—
1646C4—2361no—
1647C4—2361no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C2—42no—
1655C2—81no—
1656C2—81no—
1657C2—81no—
1658C2—1184no—
1659C2—4721no—
1660C2#532×D5911yescharacteristic
1661C2#2143748011yescharacteristic
1662C2#2143750711yescharacteristic
1663C2#2143785711yescharacteristic
1664C2#2143788811yescharacteristic
1665C2#2143803411yescharacteristic
1666C2#2143816011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2661C2
hypercenter#2661D59
hypocenterC59#35009
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2661

Complements

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

NH ≅ G/Ntype
1. C2×#16837995C2semidirect
2. C2×#16837984C2semidirect
3. #21432465C2semidirect
4. #21432460C2semidirect
5. #21432425C2semidirect
6. #21432395C2semidirect
7. #21430261C2semidirect
8. #21430244C2semidirect
9. #21430237C2semidirect
10. #21429241C2semidirect
11. #21429218C2semidirect
12. #21429211C2semidirect
13. #21429188C2semidirect
14. #21429103C2semidirect
15. #21429051C2semidirect
16. #21429021C2semidirect
17. #21428981C2semidirect
18. #21428800C2semidirect
19. #21428772C2semidirect
20. #21428425C2semidirect
21. #21428217C2semidirect
22. #21428095C2semidirect
23. #21428058C2semidirect
24. #21427648C2semidirect
25. #21427635C2semidirect
26. #21426766C2semidirect
27. #21426755C2semidirect
28. #21426612C2semidirect
29. #388×D59C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2661C2semidirect
36. C2×#14273720C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273718C22semidirect
39. C2×#14273717C22semidirect
48. C2×#14273708C22semidirect
49. C2×#14273706C22semidirect
52. C2×#14273704C22semidirect
61. C2×D4×Dic59C22semidirect
71. C22×C4×Dic59C22semidirect
73. #16837343C22semidirect
74. #16837342C22semidirect
77. #16837336C22semidirect
78. #16837336C22semidirect
79. #16837334C22semidirect
81. #16837327C22semidirect
82. #16837327C22semidirect
85. #16837325C22semidirect
87. #16837323C22semidirect
88. #16837322C22semidirect
93. #16837316C22semidirect
95. #16837314C22semidirect
97. #16837307C22semidirect
98. #16837306C22semidirect
99. #16837306C22semidirect
107. #16837301C22semidirect
108. #16837300C22semidirect
109. #16837300C22semidirect
110. #16837298C22semidirect
111. #16837297C22semidirect
112. #16837297C22semidirect
116. #16837296C22semidirect
117. #16837296C22semidirect
118. #16837296C22semidirect
119. #16837296C22semidirect
122. #16837295C22semidirect
123. #16837295C22semidirect
135. #16837290C22semidirect
136. #16837290C22semidirect
137. #16837289C22semidirect
138. #16837285C22semidirect
142. #16837282C22semidirect
143. #16837282C22semidirect
144. #16837282C22semidirect
151. #16837277C22semidirect
153. #16837274C22semidirect
155. #16837267C22semidirect
157. #16837260C22semidirect
160. C4⋊C4×Dic59C22semidirect
161. C4×Dic59⋊C4C22semidirect
162. #16837253C22semidirect
163. #16837253C22semidirect
164. C22⋊C4×Dic59C22semidirect
165. C22⋊C4×Dic59C22semidirect
166. C22⋊C4×Dic59C22semidirect
167. C22⋊C4×Dic59C22semidirect
173. C42×Dic59C22semidirect
174. C2×#123×C59C22semidirect
176. C59×#398C22semidirect
177. C59×#397C22semidirect
180. C59×#394C22semidirect
183. C59×#392C22semidirect
185. C59×#390C22semidirect
187. C59×#388C22semidirect
188. C4×C22⋊C4×C59C22semidirect
236. C4×C22⋊D59D4semidirect
830. #2661D59semidirect
882. C2×#123C2×D59semidirect
915. #398C2×D59semidirect
919. #397C2×D59semidirect
933. #394C2×D59semidirect
939. #392C2×D59semidirect
951. #390C2×D59semidirect
983. #388C2×D59semidirect
1018. C4×C22⋊C4C2×D59semidirect
1022. C59#35009semidirect

Maximal subgroups

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

subgroupindex
C2×#168379952
C2×#168379842
#214324652
#214324602
#214324252
#214323952
#214302612
#214302442
#214302372
#214292412
#214292182
#214292112
#214291882
#214291032
#214290512
#214290212
#214289812
#214288002
#214287722
#214284252
#214282172
#214280952
#214280582
#214276482
#214276352
#214267662
#214267552
#214266122
#388×D592
C4×(C22⋊D59)⋊C42
C59×#26612
#3500959