Finite Group Databasebeta

← #28761377

Subgroups — #28761377

Order 15104.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D59C211yesmaximal, characteristic, complemented
2#21432408C211yesmaximal, characteristic, complemented
3#21432401C211yesmaximal, characteristic, complemented
4#21432385C211yesmaximal, characteristic, complemented
5#21432380C211yesmaximal, characteristic, complemented
6#21430014C211yesmaximal, characteristic, complemented
7#21429993C211yesmaximal, characteristic, complemented
8#21429965C211yesmaximal, characteristic, complemented
9#21429935C211yesmaximal, characteristic, complemented
10#21428338C211yesmaximal, characteristic, complemented
11#21428233C211yesmaximal, characteristic, complemented
12#21428128C211yesmaximal, characteristic, complemented
13#21428089C211yesmaximal, characteristic, complemented
14#21428044C211yesmaximal, characteristic, complemented
15#21427975C211yesmaximal, characteristic, complemented
16#21427902C211yesmaximal, characteristic, complemented
17#21427901C211yesmaximal, characteristic, complemented
18#21427827C211yesmaximal, characteristic, complemented
19#21427759C211yesmaximal, characteristic, complemented
20#21427643C211yesmaximal, characteristic, complemented
21#21427569C211yesmaximal, characteristic, complemented
22#21427555C211yesmaximal, characteristic, complemented
23#21427488C211yesmaximal, characteristic, complemented
24#21427467C211yesmaximal, characteristic
25#21427420C211yesmaximal, characteristic, complemented
26#21426794C211yesmaximal, characteristic, complemented
27#21426765C211yesmaximal, characteristic, complemented
28#21426729C211yesmaximal, characteristic, complemented
29C4×#14273695C211yesmaximal, characteristic, complemented
30C2×#16837273C211yesmaximal, characteristic, complemented
31C2×C59×#539C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C2×#14273710C2211yescharacteristic
36C2×#14273708C2211yescharacteristic, complemented
37C2×#14273703C2211yescharacteristic
38C2×#14273703C2211yescharacteristic, complemented
39C2×#14273699C2211yescharacteristic
40C2×#14273695C2211yescharacteristic
41C2×#14273695C2211yescharacteristic
42C2×C4×D236C2211yescharacteristic
43C2×D4×Dic59C2211yescharacteristic
44C2×#14273689C2211yescharacteristic
45C2×C4×C22⋊D59C2211yescharacteristic
46C2×C4×C22⋊D59C2211yescharacteristic
47C2×C4×C22⋊D59C2211yescharacteristic
48C2×C4×C22⋊D59C2211yescharacteristic, complemented
49C2×(C22⋊D59)⋊C4C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C4×D4×D59—28no—
52C22×Dic59⋊C4C2211yescharacteristic, complemented
53C2×C4⋊C4×D59C2211yescharacteristic
54C22×(C2×D59)⋊C4C2211yescharacteristic
55C22×(C2×D59)⋊C4C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C2×C42×D59C2211yescharacteristic
59#16837341C2211yescharacteristic, complemented
60#16837338C2211yescharacteristic, complemented
61#16837337C2211yescharacteristic, complemented
62#16837337C2211yescharacteristic, complemented
63#16837335C2211yescharacteristic, complemented
64#16837333C2211yescharacteristic, complemented
65#16837332C2211yescharacteristic, complemented
66#16837332C2211yescharacteristic, complemented
67#16837330C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837328C2211yescharacteristic, complemented
71#16837328C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837325C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837324C2211yescharacteristic, complemented
77#16837321C2211yescharacteristic, complemented
78#16837319C2211yescharacteristic
79#16837319C2211yescharacteristic
80#16837319C2211yescharacteristic
81#16837318C2211yescharacteristic, complemented
82#16837318C2211yescharacteristic, complemented
83#16837318C2211yescharacteristic, complemented
84#16837317C2211yescharacteristic
85#16837317C2211yescharacteristic
86#16837317C2211yescharacteristic
87#16837316C2211yescharacteristic, complemented
88#16837313C2211yescharacteristic, complemented
89#16837311C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837298C2211yescharacteristic, complemented
92#16837298C2211yescharacteristic, complemented
93#16837297C2211yescharacteristic, complemented
94#16837297C2211yescharacteristic, complemented
95#16837295C2211yescharacteristic, complemented
96#16837295C2211yescharacteristic, complemented
97#16837293C2211yescharacteristic, complemented
98#16837292C2211yescharacteristic, complemented
99#16837292C2211yescharacteristic, complemented
100#16837290C2211yescharacteristic, complemented
101#16837290C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837288C2211yescharacteristic, complemented
104#16837288C2211yescharacteristic, complemented
105#16837286C2211yescharacteristic, complemented
106#16837283C2211yescharacteristic, complemented
107#16837283C2211yescharacteristic, complemented
108#16837283C2211yescharacteristic, complemented
109#16837283C2211yescharacteristic, complemented
110#16837283C2211yescharacteristic, complemented
111#16837283C2211yescharacteristic, complemented
112#16837283C2211yescharacteristic, complemented
113#16837282C2211yescharacteristic
114#16837282C2211yescharacteristic
115#16837282C2211yescharacteristic, complemented
116#16837282C2211yescharacteristic, complemented
117#16837281C2211yescharacteristic
118#16837281C2211yescharacteristic, complemented
119#16837279C2211yescharacteristic
120#16837278C2211yescharacteristic
121#16837278C2211yescharacteristic
122#16837278C2211yescharacteristic
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic, complemented
125#16837278C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837277C2211yescharacteristic, complemented
128#16837277C2211yescharacteristic, complemented
129#16837275C2211yescharacteristic, complemented
130#16837275C2211yescharacteristic, complemented
131#16837274C2211yescharacteristic, complemented
132#16837274C2211yescharacteristic, complemented
133#16837274C2211yescharacteristic, complemented
134#16837273C2211yescharacteristic
135#16837273C2211yescharacteristic
136#16837273C2211yescharacteristic
137#16837273C2211yescharacteristic
138#16837273C2211yescharacteristic
139#16837273C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837273C2211yescharacteristic
142#16837273C2211yescharacteristic
143#16837273C2211yescharacteristic
144#16837273C2211yescharacteristic, complemented
145#16837273C2211yescharacteristic, complemented
146#16837273C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic, complemented
148#16837273C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837270C2211yescharacteristic, complemented
154#16837268C2211yescharacteristic, complemented
155#16837265C2211yescharacteristic, complemented
156#16837265C2211yescharacteristic, complemented
157#16837263C2211yescharacteristic, complemented
158#16837262C2211yescharacteristic, complemented
159#16837260C2211yescharacteristic, complemented
160#16837259C2211yescharacteristic
161#16837259C2211yescharacteristic
162#16837259C2211yescharacteristic
163#16837259C2211yescharacteristic, complemented
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C59×#539—28no—
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#126×C59C2211yescharacteristic, complemented
176C2×#125×C59C2211yescharacteristic, complemented
177C2×#125×C59C2211yescharacteristic, complemented
178C2×#123×C59C2211yescharacteristic
179C2×#123×C59C2211yescharacteristic, complemented
180C2×#123×C59C2211yescharacteristic, complemented
181C2×#123×C59C2211yescharacteristic, complemented
182C2×C22⋊Q8×C59C2211yescharacteristic, complemented
183C2×C22⋊Q8×C59C2211yescharacteristic, complemented
184C2×C22⋊Q8×C59C2211yescharacteristic, complemented
185C2×#121×C59C2211yescharacteristic
186C2×C4×D4×C59C2211yescharacteristic
187C2×C4×D4×C59C2211yescharacteristic, complemented
188C22×C4⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C2×D4×D59—24no—
198C2×D4×D59—24no—
199C2×D4×D59—24no—
200C23×Dic59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59—24no—
205C22×C4×D59—24no—
206C22×C4×D59—42no—
207C22×C4×D59—42no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273710—24no—
220#14273708—42no—
221#14273703—42no—
222#14273703—42no—
223#14273699—24no—
224#14273695—24no—
225#14273695—42no—
226C4×D236—24no—
227D4×Dic59—24no—
228#14273689—24no—
229C4×C22⋊D59—24no—
230C4×C22⋊D59—24no—
231C4×C22⋊D59—42no—
232C4×C22⋊D59—42no—
233(C22⋊D59)⋊C4—24no—
234(C22⋊D59)⋊C4—24no—
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×Dic59⋊C4—42no—
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C4⋊C4×D59—24no—
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×(C2×D59)⋊C4—24no—
271C2×(C2×D59)⋊C4—42no—
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
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
297C22⋊C4×D59—24no—
298C22⋊C4×D59—24no—
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C42×D59—24no—
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
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
341C22×Q8×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C22×D4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346C23×C4×C59C2311yescharacteristic
347C23×C4×C59C2311yescharacteristic
348C23×C4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350#126×C59—24no—
351#126×C59—24no—
352#125×C59—24no—
353#125×C59—24no—
354#123×C59—24no—
355#123×C59—24no—
356#123×C59—24no—
357#123×C59—24no—
358C22⋊Q8×C59—24no—
359C22⋊Q8×C59—24no—
360C22⋊Q8×C59—24no—
361#121×C59—24no—
362C4×D4×C59—24no—
363C4×D4×C59D418yescomplemented
364C2×C4⋊C4×C59—24no—
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C4⋊C4×C59C2311yescharacteristic
378C2×C4⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C42×C59C2311yescharacteristic
390C2×C42×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59#4114yes—
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×Q8×C59—22no—
412C2×Q8×C59—41no—
413C2×Q8×C59—41no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59C2×D414yes—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—22no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59—41no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59C2×D414yes—
437C22×C4×C59C2×D414yes—
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59#4114yes—
465C22×Dic59—22no—
466C22×Dic59—22no—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—22no—
471C22×Dic59—41no—
472C22×Dic59—41no—
473C22×Dic59—41no—
474C22×Dic59—41no—
475C22×Dic59—41no—
476C22×Dic59—41no—
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482C22×Dic59C2411yescharacteristic
483C22×Dic59C2411yescharacteristic
484C22×Dic59C2411yescharacteristic
485C22×Dic59C2411yescharacteristic
486C22×Dic59C2411yescharacteristic
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490D4×D59—232no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—416no—
513C2×C4×D59—416no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59—41no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—22no—
530C4⋊C4×C59—22no—
531C4⋊C4×C59—22no—
532C4⋊C4×C59—22no—
533C4⋊C4×C59—22no—
534C4⋊C4×C59—22no—
535C4⋊C4×C59—22no—
536C4⋊C4×C59C2×D414yes—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—22no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59C2×D414yes—
546C22⋊C4×C59C2×D414yes—
547C42×C59—22no—
548C42×C59C2×D414yes—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—22no—
552C22⋊Dic59—22no—
553C22⋊Dic59—22no—
554C22⋊Dic59—22no—
555C22⋊Dic59—41no—
556C22⋊Dic59—41no—
557C22⋊Dic59—41no—
558C22⋊Dic59—41no—
559C22⋊Dic59—41no—
560C22⋊Dic59—41no—
561C22⋊Dic59—41no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—22no—
576(C2×D59)⋊C4—22no—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4—41no—
583(C2×D59)⋊C4—41no—
584(C2×D59)⋊C4—41no—
585(C2×D59)⋊C4—41no—
586(C2×D59)⋊C4—41no—
587C4⋊Dic59—22no—
588C4⋊Dic59—41no—
589C4⋊Dic59—41no—
590C4⋊Dic59—41no—
591C4⋊Dic59—41no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598Dic59⋊C4—22no—
599Dic59⋊C4—22no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605Dic59⋊C4—41no—
606Dic59⋊C4—41no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—22no—
610C4×Dic59—41no—
611C4×Dic59—41no—
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×C59—21no—
623C23×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59C22×D412yes—
630C23×C59C22×D412yes—
631C23×C59C2×#4112yes—
632C23×C59C2×#4112yes—
633C23×C59C2511yescharacteristic
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—28no—
639C22×D59—28no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—21no—
652C22×D59—28no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59—44no—
658C22×D59—44no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59C2×#4112yes—
665C22×D59C2×#4112yes—
666C22×D59C2×#4112yes—
667C22×D59H(5,𝔽2)12yes—
668C22×D592−1+412yes—
669Q8×C59—82no—
670D4×C59—28no—
671D4×C59—44no—
672D4×C59—82no—
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—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—44no—
705C2×C4×C59—44no—
706C2×C4×C59—44no—
707C2×C4×C59—82no—
708C2×C4×C59—82no—
709C2×C4×C59C22×D412yes—
710C2×C4×C59C22×D412yes—
711C2×C4×C59C22×D412yes—
712C2×C4×C59C22×D412yes—
713C2×C4×C59C22×D412yes—
714C22⋊D59—28no—
715C22⋊D59—28no—
716C22⋊D59—44no—
717C22⋊D59—44no—
718C22⋊D59—82no—
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—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—44no—
757C2×Dic59—44no—
758C2×Dic59—44no—
759C2×Dic59—82no—
760C2×Dic59C2×#4112yes—
761C2×Dic59H(5,𝔽2)12yes—
762D236—28no—
763C4×D59—28no—
764C4×D59—28no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769C4×D59—44no—
770C4×D59—44no—
771C4×D59—44no—
772#34991—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—22no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59#52514yes—
794C22×C59C23×D411yescharacteristic
795C22×C59C22×#4111yescharacteristic
796C22×C59C22×#4111yescharacteristic
797C22×C59C2×H(5,𝔽2)11yescharacteristic
798C22×C59C2×H(5,𝔽2)11yescharacteristic
799C22×C59C2×2−1+411yescharacteristic
800C22×C59#58511yescharacteristic
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—22no—
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—22no—
810C2×D59—22no—
811C2×D59—22no—
812C2×D59—22no—
813C2×D59—416no—
814C2×D59—416no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59#53914yescomplemented
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—22no—
828C4×C59—22no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836Dic59—22no—
837Dic59—22no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849C2×#539D5911yescharacteristic, complemented
850C22×C4×D4—591no—
851#2852—591no—
852#2851—591no—
853#2849—591no—
854#2848—591no—
855#2638—591no—
856#2636—591no—
857#2633—591no—
858#2630—591no—
859#2480—591no—
860#2473—591no—
861#2466—591no—
862#2463—591no—
863#2460—591no—
864#2455—591no—
865#2449—591no—
866#2449—591no—
867#2443—591no—
868#2437—591no—
869#2425—591no—
870#2419—591no—
871#2418—591no—
872#2412—591no—
873#2410—591no—
874#2405—591no—
875#2325—591no—
876#2322—591no—
877#2318—591no—
878C4×#120—591no—
879C2×#385—591no—
880C2×C59—24no—
881C2×C59—42no—
882C2×C59—81no—
883C2×C59C2×#52511yescharacteristic
884C2×C59C2×#53911yescharacteristic
885C2×C59#345911yescharacteristic
886C2×C59#348411yescharacteristic
887C2×C59#348911yescharacteristic
888C2×C59#351311yescharacteristic
889C2×C59#352011yescharacteristic
890D59—24no—
891D59—42no—
892D59—42no—
893C23×D4—591no—
894C24×C4—591no—
895C24×C4—591no—
896#539—28no—
897C2×#126C2×D5911yescharacteristic, complemented
898C2×#126C2×D5911yescharacteristic, complemented
899C2×#125C2×D5911yescharacteristic, complemented
900C2×#125C2×D5911yescharacteristic, complemented
901C2×#123—591no—
902C2×#123—591no—
903C2×#123C2×D5911yescharacteristic
904C2×#123C2×D5911yescharacteristic, complemented
905C2×#123C2×D5911yescharacteristic, complemented
906C2×#123C2×D5911yescharacteristic, complemented
907C2×C22⋊Q8—591no—
908C2×C22⋊Q8—591no—
909C2×C22⋊Q8C2×D5911yescharacteristic, complemented
910C2×C22⋊Q8C2×D5911yescharacteristic, complemented
911C2×C22⋊Q8C2×D5911yescharacteristic, complemented
912C2×#121—591no—
913C2×#121C2×D5911yescharacteristic
914C2×#120—591no—
915C2×#120—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—591no—
924C2×C4×D4—591no—
925C2×C4×D4—1188no—
926C2×C4×D4C2×D5911yescharacteristic
927C2×C4×D4C2×D5911yescharacteristic, complemented
928C22×C4⋊C4—591no—
929C22×C4⋊C4—591no—
930C22×C4⋊C4C2×D5911yescharacteristic, complemented
931C22×C22⋊C4—591no—
932C22×C22⋊C4—591no—
933C22×C22⋊C4—591no—
934C22×C22⋊C4—591no—
935C22×C42—591no—
936#400—591no—
937#399—591no—
938#399—591no—
939#399—591no—
940#398—591no—
941#398—591no—
942#398—591no—
943#398—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#395—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#394—591no—
965#393—591no—
966#392—591no—
967#392—591no—
968#389—591no—
969#389—591no—
970#389—591no—
971#389—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#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—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#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385—591no—
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385—591no—
1027#385—591no—
1028#385—591no—
1029#385—591no—
1030#383—591no—
1031#382—591no—
1032#381—591no—
1033#381—591no—
1034#381—591no—
1035#380—591no—
1036#380—591no—
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380—591no—
1041#379—591no—
1042#379—591no—
1043#379—591no—
1044#379—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047C4×C22⋊C4—591no—
1048C2×#95—591no—
1049C2×#95—591no—
1050C59#3499111yescharacteristic, complemented, Sylow
1051C25—591no—
1052C25—591no—
1053C22×Q8C22×D5911yescharacteristic
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—1184no—
1061C22×D4—1184no—
1062C22×D4—1184no—
1063C22×D4C22×D5911yescharacteristic
1064C22×D4C22×D5911yescharacteristic
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—591no—
1079C23×C4—1184no—
1080C23×C4—1184no—
1081C23×C4—2362no—
1082C23×C4—2362no—
1083C23×C4—2362no—
1084C23×C4—2362no—
1085C23×C4C22×D5911yescharacteristic
1086C23×C4C22×D5911yescharacteristic
1087C23×C4C22×D5911yescharacteristic
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—24no—
1091#126—24no—
1092#125—24no—
1093#125—24no—
1094#123—24no—
1095#123—24no—
1096#123—24no—
1097#123—24no—
1098#123—1184no—
1099#123—2362no—
1100C22⋊Q8—24no—
1101C22⋊Q8—24no—
1102C22⋊Q8—24no—
1103C22⋊Q8—2362no—
1104C22⋊Q8—2362no—
1105#121—24no—
1106#121—1184no—
1107#120—1184no—
1108#120—2362no—
1109C4×D4—24no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—1184no—
1114C4×D4—1184no—
1115C4×D4—1184no—
1116C4×D4—1184no—
1117C4×D4—2362no—
1118C4×D4—2362no—
1119C4×D4C22⋊D5918yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—1184no—
1142C2×C4⋊C4—2362no—
1143C2×C4⋊C4C22×D5911yescharacteristic
1144C2×C4⋊C4C22×D5911yescharacteristic
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C4⋊C4C22×D5911yescharacteristic
1148C2×C4⋊C4C22×D5911yescharacteristic
1149C2×C4⋊C4C22×D5911yescharacteristic
1150C2×C4⋊C4C22×D5911yescharacteristic
1151C2×C4⋊C4C22×D5911yescharacteristic
1152C2×C4⋊C4C22×D5911yescharacteristic
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—1184no—
1196C2×C22⋊C4—1184no—
1197C2×C22⋊C4—1184no—
1198C2×C22⋊C4—2362no—
1199C2×C22⋊C4C22×D5911yescharacteristic
1200C2×C22⋊C4C22×D5911yescharacteristic
1201C2×C22⋊C4C22×D5911yescharacteristic
1202C2×C22⋊C4C22×D5911yescharacteristic
1203C2×C22⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—1184no—
1215C2×C42C22×D5911yescharacteristic
1216C2×C42C22×D5911yescharacteristic
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253C24—591no—
1254C24—591no—
1255C24—591no—
1256C24—594no—
1257C24—1182no—
1258C24—1182no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—2361no—
1267C24—2361no—
1268C24—2361no—
1269C24—2361no—
1270C24C23×D5911yescharacteristic
1271C24C23×D5911yescharacteristic
1272C24C23×D5911yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—594no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—11832no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—1182no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4C2×C22⋊D5914yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—591no—
1329C22×C4—591no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—2361no—
1355C22×C4—2361no—
1356C22×C4—2361no—
1357C22×C4—2361no—
1358C22×C4—2361no—
1359C22×C4—2361no—
1360C22×C4—2361no—
1361C22×C4—2361no—
1362C22×C4—2361no—
1363C22×C4—23616no—
1364C22×C4—23616no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—2361no—
1370C22×C4—2361no—
1371C22×C4C2×C22⋊D5914yes—
1372C22×C4C2×C22⋊D5914yes—
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—22no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—1182no—
1407C4⋊C4—2361no—
1408C4⋊C4—2361no—
1409C4⋊C4—2361no—
1410C4⋊C4—2361no—
1411C4⋊C4—2361no—
1412C4⋊C4—2361no—
1413C4⋊C4—2361no—
1414C4⋊C4—2361no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4C2×C22⋊D5914yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4C2×C22⋊D5914yes—
1466C22⋊C4C2×C22⋊D5914yes—
1467C42—22no—
1468C42—1182no—
1469C42—1182no—
1470C42—1182no—
1471C42—2361no—
1472C42—2361no—
1473C42C2×C22⋊D5914yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—592no—
1492C23—592no—
1493C23—592no—
1494C23—592no—
1495C23—592no—
1496C23—1188no—
1497C23—1188no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1188no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—2364no—
1516C23—2364no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23—2364no—
1526C23C22×C22⋊D5912yes—
1527C23C22×C22⋊D5912yes—
1528C23#41×D5912yes—
1529C23#41×D5912yes—
1530C23C24×D5911yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—44no—
1534D4—82no—
1535D4—1188no—
1536D4—1188no—
1537D4—1188no—
1538D4—4722no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—82no—
1576C2×C4—82no—
1577C2×C4—592no—
1578C2×C4—592no—
1579C2×C4—1188no—
1580C2×C4—1188no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—4722no—
1619C2×C4—2364no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4—2364no—
1629C2×C4C22×C22⋊D5912yes—
1630C2×C4C22×C22⋊D5912yes—
1631C2×C4C22×C22⋊D5912yes—
1632C2×C4C22×C22⋊D5912yes—
1633C2×C4C22×C22⋊D5912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—594no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—1182no—
1661C22—1182no—
1662C22—1182no—
1663C22—1182no—
1664C22—1182no—
1665C22—1182no—
1666C22—1182no—
1667C22—23616no—
1668C22—23616no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22#1683790914yes—
1678C22C23×C22⋊D5911yescharacteristic
1679C22C2×#41×D5911yescharacteristic
1680C22C2×#41×D5911yescharacteristic
1681C22H(5,𝔽2)×D5911yescharacteristic
1682C22H(5,𝔽2)×D5911yescharacteristic
1683C222−1+4×D5911yescharacteristic
1684C22#1683823911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—1182no—
1698C4—1182no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C2—24no—
1711C2—42no—
1712C2—81no—
1713C2—1184no—
1714C2—2362no—
1715C2—2362no—
1716C2C2×#1683790911yescharacteristic
1717C2#539×D5911yescharacteristic
1718C2#2143750411yescharacteristic
1719C2#2143772711yescharacteristic
1720C2#2143776911yescharacteristic
1721C2#2143802611yescharacteristic
1722C2#2143813711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#539C2
prime radical#21427467C2
hypercenterC2×#539D59
hypocenterC59#34991
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D59C2semidirect
2. #21432408C2semidirect
3. #21432401C2semidirect
4. #21432385C2semidirect
5. #21432380C2semidirect
6. #21430014C2semidirect
7. #21429993C2semidirect
8. #21429965C2semidirect
9. #21429935C2semidirect
10. #21428338C2semidirect
11. #21428233C2semidirect
12. #21428128C2semidirect
13. #21428089C2semidirect
14. #21428044C2semidirect
15. #21427975C2semidirect
16. #21427902C2semidirect
17. #21427901C2semidirect
18. #21427827C2semidirect
19. #21427759C2semidirect
20. #21427643C2semidirect
21. #21427569C2semidirect
22. #21427555C2semidirect
23. #21427488C2semidirect
25. #21427420C2semidirect
26. #21426794C2semidirect
27. #21426765C2semidirect
28. #21426729C2semidirect
29. C4×#14273695C2semidirect
30. C2×#16837273C2semidirect
31. C2×C59×#539C2semidirect
36. C2×#14273708C22semidirect
38. C2×#14273703C22semidirect
48. C2×C4×C22⋊D59C22semidirect
52. C22×Dic59⋊C4C22semidirect
59. #16837341C22semidirect
60. #16837338C22semidirect
61. #16837337C22semidirect
62. #16837337C22semidirect
63. #16837335C22semidirect
64. #16837333C22semidirect
65. #16837332C22semidirect
66. #16837332C22semidirect
67. #16837330C22semidirect
68. #16837330C22semidirect
69. #16837330C22semidirect
70. #16837328C22semidirect
71. #16837328C22semidirect
72. #16837328C22semidirect
73. #16837325C22semidirect
74. #16837324C22semidirect
75. #16837324C22semidirect
76. #16837324C22semidirect
77. #16837321C22semidirect
81. #16837318C22semidirect
82. #16837318C22semidirect
83. #16837318C22semidirect
87. #16837316C22semidirect
88. #16837313C22semidirect
91. #16837298C22semidirect
92. #16837298C22semidirect
93. #16837297C22semidirect
94. #16837297C22semidirect
95. #16837295C22semidirect
96. #16837295C22semidirect
97. #16837293C22semidirect
98. #16837292C22semidirect
99. #16837292C22semidirect
100. #16837290C22semidirect
101. #16837290C22semidirect
102. #16837290C22semidirect
103. #16837288C22semidirect
104. #16837288C22semidirect
105. #16837286C22semidirect
106. #16837283C22semidirect
107. #16837283C22semidirect
108. #16837283C22semidirect
109. #16837283C22semidirect
110. #16837283C22semidirect
111. #16837283C22semidirect
112. #16837283C22semidirect
115. #16837282C22semidirect
116. #16837282C22semidirect
118. #16837281C22semidirect
124. #16837278C22semidirect
125. #16837278C22semidirect
126. #16837278C22semidirect
127. #16837277C22semidirect
128. #16837277C22semidirect
129. #16837275C22semidirect
130. #16837275C22semidirect
131. #16837274C22semidirect
132. #16837274C22semidirect
133. #16837274C22semidirect
144. #16837273C22semidirect
145. #16837273C22semidirect
146. #16837273C22semidirect
147. #16837273C22semidirect
148. #16837273C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837270C22semidirect
154. #16837268C22semidirect
155. #16837265C22semidirect
156. #16837265C22semidirect
157. #16837263C22semidirect
158. #16837262C22semidirect
159. #16837260C22semidirect
163. #16837259C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. C4×C22⋊Dic59C22semidirect
171. C2×C59⋊#95C22semidirect
172. C2×C59⋊#95C22semidirect
174. C2×#126×C59C22semidirect
175. C2×#126×C59C22semidirect
176. C2×#125×C59C22semidirect
177. C2×#125×C59C22semidirect
179. C2×#123×C59C22semidirect
180. C2×#123×C59C22semidirect
181. C2×#123×C59C22semidirect
182. C2×C22⋊Q8×C59C22semidirect
183. C2×C22⋊Q8×C59C22semidirect
184. C2×C22⋊Q8×C59C22semidirect
187. C2×C4×D4×C59C22semidirect
188. C22×C4⋊C4×C59C22semidirect
363. C4×D4×C59D4semidirect
823. C2×D59#539semidirect
849. C2×#539D59semidirect
897. C2×#126C2×D59semidirect
898. C2×#126C2×D59semidirect
899. C2×#125C2×D59semidirect
900. C2×#125C2×D59semidirect
904. C2×#123C2×D59semidirect
905. C2×#123C2×D59semidirect
906. C2×#123C2×D59semidirect
909. C2×C22⋊Q8C2×D59semidirect
910. C2×C22⋊Q8C2×D59semidirect
911. C2×C22⋊Q8C2×D59semidirect
927. C2×C4×D4C2×D59semidirect
930. C22×C4⋊C4C2×D59semidirect
1050. C59#34991semidirect
1119. C4×D4C22⋊D59semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D592
#214324082
#214324012
#214323852
#214323802
#214300142
#214299932
#214299652
#214299352
#214283382
#214282332
#214281282
#214280892
#214280442
#214279752
#214279022
#214279012
#214278272
#214277592
#214276432
#214275692
#214275552
#214274882
#214274672
#214274202
#214267942
#214267652
#214267292
C4×#142736952
C2×#168372732
C2×C59×#5392
#3499159