Finite Group Databasebeta

← #28761346

Subgroups — #28761346

Order 15104.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 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#21432392C211yesmaximal, characteristic, complemented
4#21432385C211yesmaximal, characteristic, complemented
5#21432375C211yesmaximal, characteristic, complemented
6#21429993C211yesmaximal, characteristic, complemented
7#21429981C211yesmaximal, characteristic, complemented
8#21429949C211yesmaximal, characteristic, complemented
9#21429935C211yesmaximal, characteristic, complemented
10#21428353C211yesmaximal, characteristic, complemented
11#21428218C211yesmaximal, characteristic, complemented
12#21428143C211yesmaximal, characteristic, complemented
13#21428029C211yesmaximal, characteristic, complemented
14#21427993C211yesmaximal, characteristic, complemented
15#21427984C211yesmaximal, characteristic, complemented
16#21427916C211yesmaximal, characteristic, complemented
17#21427842C211yesmaximal, characteristic, complemented
18#21427828C211yesmaximal, characteristic, complemented
19#21427759C211yesmaximal, characteristic, complemented
20#21427629C211yesmaximal, characteristic, complemented
21#21427628C211yesmaximal, characteristic, complemented
22#21427554C211yesmaximal, characteristic, complemented
23#21427467C211yesmaximal, characteristic, complemented
24#21427466C211yesmaximal, characteristic, complemented
25#21427407C211yesmaximal, characteristic, complemented
26#21426794C211yesmaximal, characteristic, complemented
27#21426754C211yesmaximal, characteristic, complemented
28#21426729C211yesmaximal, characteristic, complemented
29C4×#14273695C211yesmaximal, characteristic, complemented
30C2×#16837278C211yesmaximal, characteristic, complemented
31C2×C59×#538C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic, complemented
36C2×#14273708C2211yescharacteristic, complemented
37C2×#14273703C2211yescharacteristic, complemented
38C2×#14273699C2211yescharacteristic
39C2×#14273698C2211yescharacteristic
40C2×#14273698C2211yescharacteristic
41C2×#14273698C2211yescharacteristic, complemented
42C2×#14273696C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic, complemented
47C2×C4×D236C2211yescharacteristic, complemented
48C2×D4×Dic59C2211yescharacteristic
49C2×#14273689C2211yescharacteristic, complemented
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic, complemented
52C2×C4×C22⋊D59C2211yescharacteristic, complemented
53C2×C4×C22⋊D59C2211yescharacteristic, complemented
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
56C4×D4×D59—28no—
57C2×C4⋊C4×D59C2211yescharacteristic, complemented
58C22×C22⋊Dic59C2211yescharacteristic, complemented
59C22×(C2×D59)⋊C4C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61C2×C22⋊C4×D59C2211yescharacteristic, complemented
62C2×C42×D59C2211yescharacteristic, complemented
63#16837341C2211yescharacteristic, complemented
64#16837340C2211yescharacteristic, complemented
65#16837338C2211yescharacteristic, complemented
66#16837337C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837330C2211yescharacteristic, complemented
69#16837327C2211yescharacteristic, complemented
70#16837327C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837324C2211yescharacteristic, complemented
73#16837324C2211yescharacteristic, complemented
74#16837324C2211yescharacteristic, complemented
75#16837319C2211yescharacteristic, complemented
76#16837318C2211yescharacteristic, complemented
77#16837318C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic, complemented
79#16837317C2211yescharacteristic, complemented
80#16837316C2211yescharacteristic, complemented
81#16837316C2211yescharacteristic, complemented
82#16837316C2211yescharacteristic, complemented
83#16837316C2211yescharacteristic, complemented
84#16837313C2211yescharacteristic, complemented
85#16837313C2211yescharacteristic, complemented
86#16837311C2211yescharacteristic
87#16837311C2211yescharacteristic
88#16837311C2211yescharacteristic, complemented
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837310C2211yescharacteristic, complemented
92#16837310C2211yescharacteristic, complemented
93#16837310C2211yescharacteristic, complemented
94#16837310C2211yescharacteristic, complemented
95#16837309C2211yescharacteristic, complemented
96#16837305C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic, complemented
98#16837302C2211yescharacteristic, complemented
99#16837296C2211yescharacteristic, complemented
100#16837296C2211yescharacteristic, complemented
101#16837295C2211yescharacteristic, complemented
102#16837295C2211yescharacteristic, complemented
103#16837293C2211yescharacteristic, complemented
104#16837290C2211yescharacteristic, complemented
105#16837290C2211yescharacteristic, complemented
106#16837290C2211yescharacteristic, complemented
107#16837290C2211yescharacteristic, complemented
108#16837290C2211yescharacteristic, complemented
109#16837290C2211yescharacteristic, complemented
110#16837290C2211yescharacteristic, complemented
111#16837288C2211yescharacteristic, complemented
112#16837288C2211yescharacteristic, complemented
113#16837286C2211yescharacteristic, complemented
114#16837283C2211yescharacteristic, complemented
115#16837283C2211yescharacteristic, complemented
116#16837283C2211yescharacteristic, complemented
117#16837282C2211yescharacteristic
118#16837282C2211yescharacteristic
119#16837282C2211yescharacteristic, complemented
120#16837282C2211yescharacteristic, complemented
121#16837282C2211yescharacteristic, complemented
122#16837282C2211yescharacteristic, complemented
123#16837281C2211yescharacteristic
124#16837281C2211yescharacteristic, complemented
125#16837279C2211yescharacteristic
126#16837278C2211yescharacteristic
127#16837278C2211yescharacteristic
128#16837278C2211yescharacteristic
129#16837278C2211yescharacteristic
130#16837278C2211yescharacteristic
131#16837278C2211yescharacteristic
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic, complemented
135#16837278C2211yescharacteristic, complemented
136#16837278C2211yescharacteristic, complemented
137#16837278C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837277C2211yescharacteristic, complemented
146#16837277C2211yescharacteristic, complemented
147#16837275C2211yescharacteristic, complemented
148#16837275C2211yescharacteristic, complemented
149#16837274C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837270C2211yescharacteristic, complemented
158#16837268C2211yescharacteristic, complemented
159#16837265C2211yescharacteristic, complemented
160#16837263C2211yescharacteristic, complemented
161#16837262C2211yescharacteristic, complemented
162#16837260C2211yescharacteristic, complemented
163#16837259C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic, complemented
165#16837258C2211yescharacteristic, complemented
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic, complemented
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic59C2211yescharacteristic, complemented
171C2×C59⋊#95C2211yescharacteristic, complemented
172C2×C59⋊#95C2211yescharacteristic, complemented
173C59×#538—28no—
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#126×C59C2211yescharacteristic, complemented
176C2×#124×C59C2211yescharacteristic, complemented
177C2×#124×C59C2211yescharacteristic, complemented
178C2×#123×C59C2211yescharacteristic, complemented
179C2×#123×C59C2211yescharacteristic, complemented
180C2×C22⋊Q8×C59C2211yescharacteristic, complemented
181C2×#121×C59C2211yescharacteristic
182C2×#121×C59C2211yescharacteristic, complemented
183C2×#121×C59C2211yescharacteristic, complemented
184C2×#120×C59C2211yescharacteristic
185C2×#120×C59C2211yescharacteristic, complemented
186C2×C4×D4×C59C2211yescharacteristic
187C2×C4×D4×C59C2211yescharacteristic, complemented
188C22×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59—24no—
193C22×C22⋊D59—42no—
194C22×C22⋊D59—42no—
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C2×D4×D59—24no—
207C2×D4×D59—24no—
208C2×D4×D59—24no—
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C22×C4×D59—24no—
214C22×C4×D59—24no—
215C22×C4×D59—42no—
216C22×C4×D59—42no—
217C22×C4×D59—42no—
218C22×C4×D59—42no—
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228#14273708—42no—
229#14273703—42no—
230#14273699—24no—
231#14273698—42no—
232#14273698—42no—
233#14273698—42no—
234#14273696—24no—
235#14273695—24no—
236#14273695—42no—
237#14273695—42no—
238#14273695—42no—
239C4×D236—24no—
240D4×Dic59—24no—
241#14273689—24no—
242C4×C22⋊D59—24no—
243C4×C22⋊D59—24no—
244C4×C22⋊D59—42no—
245C4×C22⋊D59—42no—
246(C22⋊D59)⋊C4—24no—
247(C22⋊D59)⋊C4—24no—
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
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
262C4⋊C4×D59—24no—
263C2×C22⋊Dic59—42no—
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4—42no—
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
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C22⋊C4×D59—24no—
308C22⋊C4×D59—24no—
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C42×D59—24no—
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
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C25×C59C2311yescharacteristic
348C22×Q8×C59C2311yescharacteristic
349C22×D4×C59C2311yescharacteristic
350C22×D4×C59C2311yescharacteristic
351C22×D4×C59C2311yescharacteristic
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360#126×C59—24no—
361#126×C59—24no—
362#124×C59—24no—
363#124×C59—24no—
364#123×C59—24no—
365#123×C59—24no—
366C22⋊Q8×C59—24no—
367#121×C59—24no—
368#121×C59—24no—
369#121×C59—24no—
370#120×C59—24no—
371#120×C59—24no—
372C4×D4×C59—24no—
373C4×D4×C59D418yescomplemented
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C4⋊C4×C59C2311yescharacteristic
377C2×C4⋊C4×C59C2311yescharacteristic
378C2×C4⋊C4×C59C2311yescharacteristic
379C2×C4⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59—24no—
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×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391C2×C22⋊C4×C59C2311yescharacteristic
392C2×C22⋊C4×C59C2311yescharacteristic
393C2×C22⋊C4×C59C2311yescharacteristic
394C2×C22⋊C4×C59C2311yescharacteristic
395C2×C42×C59C2311yescharacteristic
396C2×C42×C59C2311yescharacteristic
397C24×C59—22no—
398C24×C59—22no—
399C24×C59—22no—
400C24×C59—41no—
401C24×C59—41no—
402C24×C59—41no—
403C24×C59—41no—
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C24×C59C2411yescharacteristic
408C24×C59C2411yescharacteristic
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—22no—
413C23×D59—22no—
414C23×D59—22no—
415C23×D59—22no—
416C23×D59—22no—
417C23×D59—22no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59—41no—
421C23×D59—41no—
422C23×D59#4114yes—
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C2×Q8×C59—22no—
427C2×Q8×C59—41no—
428C2×Q8×C59—41no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59—22no—
438C2×D4×C59—22no—
439C2×D4×C59—41no—
440C2×D4×C59—41no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C2×D4×C59—41no—
446C2×D4×C59—41no—
447C2×D4×C59—41no—
448C2×D4×C59—41no—
449C2×D4×C59C2×D414yes—
450C22×C4×C59—22no—
451C22×C4×C59—22no—
452C22×C4×C59—41no—
453C22×C4×C59—41no—
454C22×C4×C59—41no—
455C22×C4×C59—41no—
456C22×C4×C59—41no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59—41no—
460C22×C4×C59C2×D414yes—
461C22×C4×C59C2×D414yescomplemented
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—22no—
485C2×C22⋊D59—22no—
486C2×C22⋊D59—22no—
487C2×C22⋊D59—22no—
488C2×C22⋊D59—22no—
489C2×C22⋊D59—22no—
490C2×C22⋊D59—22no—
491C2×C22⋊D59—22no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59—41no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59—41no—
502C2×C22⋊D59—41no—
503C2×C22⋊D59—41no—
504C2×C22⋊D59—416no—
505C2×C22⋊D59#4114yes—
506C22×Dic59—22no—
507C22×Dic59—22no—
508C22×Dic59—22no—
509C22×Dic59—22no—
510C22×Dic59—22no—
511C22×Dic59—22no—
512C22×Dic59—41no—
513C22×Dic59—41no—
514C22×Dic59—41no—
515C22×Dic59—41no—
516C22×Dic59—41no—
517C22×Dic59—41no—
518C22×Dic59C2411yescharacteristic
519C22×Dic59C2411yescharacteristic
520C22×Dic59C2411yescharacteristic
521C22×Dic59C2411yescharacteristic
522C22×Dic59C2411yescharacteristic
523C22×Dic59C2411yescharacteristic
524C22×Dic59C2411yescharacteristic
525C22×Dic59C2411yescharacteristic
526C22×Dic59C2411yescharacteristic
527C22×Dic59C2411yescharacteristic
528C22×Dic59C2411yescharacteristic
529C22×Dic59C2411yescharacteristic
530C22×Dic59C2411yescharacteristic
531D4×D59—232no—
532C2×D236—22no—
533C2×D236—22no—
534C2×D236—22no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—22no—
539C2×C4×D59—22no—
540C2×C4×D59—22no—
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—22no—
544C2×C4×D59—22no—
545C2×C4×D59—22no—
546C2×C4×D59—22no—
547C2×C4×D59—22no—
548C2×C4×D59—22no—
549C2×C4×D59—22no—
550C2×C4×D59—22no—
551C2×C4×D59—22no—
552C2×C4×D59—22no—
553C2×C4×D59—416no—
554C2×C4×D59—416no—
555C2×C4×D59—41no—
556C2×C4×D59—41no—
557C2×C4×D59—41no—
558C2×C4×D59—41no—
559C2×C4×D59—41no—
560C2×C4×D59—41no—
561C2×C4×D59—41no—
562C2×C4×D59—41no—
563C2×C4×D59—41no—
564C4⋊C4×C59—22no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—22no—
567C4⋊C4×C59—22no—
568C4⋊C4×C59—22no—
569C4⋊C4×C59C2×D414yescomplemented
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—22no—
576C22⋊C4×C59—22no—
577C22⋊C4×C59—22no—
578C22⋊C4×C59—22no—
579C22⋊C4×C59—22no—
580C22⋊C4×C59—22no—
581C22⋊C4×C59—22no—
582C22⋊C4×C59C2×D414yes—
583C22⋊C4×C59C2×D414yescomplemented
584C42×C59—22no—
585C42×C59C2×D414yescomplemented
586C22⋊Dic59—22no—
587C22⋊Dic59—22no—
588C22⋊Dic59—22no—
589C22⋊Dic59—22no—
590C22⋊Dic59—22no—
591C22⋊Dic59—22no—
592C22⋊Dic59—22no—
593C22⋊Dic59—22no—
594C22⋊Dic59—22no—
595C22⋊Dic59—22no—
596C22⋊Dic59—41no—
597C22⋊Dic59—41no—
598C22⋊Dic59—41no—
599C22⋊Dic59—41no—
600C22⋊Dic59—41no—
601C22⋊Dic59—41no—
602C22⋊Dic59—41no—
603C22⋊Dic59—41no—
604C22⋊Dic59—41no—
605C22⋊Dic59—41no—
606C22⋊Dic59—41no—
607C22⋊Dic59—41no—
608C22⋊Dic59—41no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—22no—
612(C2×D59)⋊C4—22no—
613(C2×D59)⋊C4—22no—
614(C2×D59)⋊C4—22no—
615(C2×D59)⋊C4—22no—
616(C2×D59)⋊C4—22no—
617(C2×D59)⋊C4—22no—
618(C2×D59)⋊C4—22no—
619(C2×D59)⋊C4—22no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625(C2×D59)⋊C4—41no—
626(C2×D59)⋊C4—41no—
627(C2×D59)⋊C4—41no—
628C4⋊Dic59—22no—
629C4⋊Dic59—41no—
630C4⋊Dic59—41no—
631C4⋊Dic59—41no—
632C4⋊Dic59—41no—
633Dic59⋊C4—22no—
634Dic59⋊C4—22no—
635Dic59⋊C4—22no—
636Dic59⋊C4—22no—
637Dic59⋊C4—41no—
638Dic59⋊C4—41no—
639Dic59⋊C4—41no—
640Dic59⋊C4—41no—
641Dic59⋊C4—41no—
642C4×Dic59—22no—
643C4×Dic59—22no—
644C4×Dic59—22no—
645C4×Dic59—41no—
646C4×Dic59—41no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59—21no—
669C23×C59—21no—
670C23×C59—21no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—44no—
679C23×C59—44no—
680C23×C59—44no—
681C23×C59—82no—
682C23×C59—82no—
683C23×C59—82no—
684C23×C59—82no—
685C23×C59C22×D412yes—
686C23×C59C22×D412yes—
687C23×C59C2×#4112yes—
688C23×C59C2×#4112yes—
689C23×C59C2511yescharacteristic
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—28no—
695C22×D59—28no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—28no—
709C22×D59—44no—
710C22×D59—44no—
711C22×D59—44no—
712C22×D59—44no—
713C22×D59—44no—
714C22×D59—44no—
715C22×D59—44no—
716C22×D59—44no—
717C22×D59—44no—
718C22×D59—44no—
719C22×D59—44no—
720C22×D59C2×#4112yes—
721C22×D59C2×#4112yes—
722C22×D59C2×#4112yes—
723C22×D59H(5,𝔽2)12yes—
724C22×D59H(5,𝔽2)12yes—
725Q8×C59—82no—
726D4×C59—28no—
727D4×C59—44no—
728D4×C59—82no—
729D4×C59—82no—
730D4×C59—82no—
731D4×C59—82no—
732D4×C59—82no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—44no—
759C2×C4×C59—44no—
760C2×C4×C59—82no—
761C2×C4×C59—82no—
762C2×C4×C59C22×D412yes—
763C2×C4×C59C22×D412yes—
764C2×C4×C59C22×D412yes—
765C2×C4×C59C22×D412yes—
766C2×C4×C59C22×D412yes—
767C22⋊D59—28no—
768C22⋊D59—28no—
769C22⋊D59—44no—
770C22⋊D59—44no—
771C22⋊D59—44no—
772C22⋊D59—44no—
773C22⋊D59—44no—
774C22⋊D59—44no—
775C22⋊D59—82no—
776C22⋊D59—82no—
777C22⋊D59—82no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—44no—
816C2×Dic59—44no—
817C2×Dic59—44no—
818C2×Dic59—82no—
819C2×Dic59C2×#4112yes—
820C2×Dic59H(5,𝔽2)12yes—
821D236—28no—
822C4×D59—28no—
823C4×D59—28no—
824C4×D59—44no—
825C4×D59—44no—
826C4×D59—44no—
827C4×D59—44no—
828C4×D59—44no—
829C4×D59—44no—
830C4×D59—44no—
831#34990—591nomaximal, Sylow
832C22×C59—22no—
833C22×C59—22no—
834C22×C59—22no—
835C22×C59—22no—
836C22×C59—22no—
837C22×C59—22no—
838C22×C59—22no—
839C22×C59—22no—
840C22×C59—22no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—41no—
866C22×C59—88no—
867C22×C59#52514yes—
868C22×C59C23×D411yescharacteristic
869C22×C59C22×#4111yescharacteristic
870C22×C59C22×#4111yescharacteristic
871C22×C59C2×H(5,𝔽2)11yescharacteristic
872C22×C59C2×H(5,𝔽2)11yescharacteristic
873C22×C59C2×H(5,𝔽2)11yescharacteristic
874C22×C59#58511yescharacteristic
875C2×D59—22no—
876C2×D59—22no—
877C2×D59—22no—
878C2×D59—22no—
879C2×D59—22no—
880C2×D59—22no—
881C2×D59—22no—
882C2×D59—22no—
883C2×D59—22no—
884C2×D59—22no—
885C2×D59—22no—
886C2×D59—22no—
887C2×D59—416no—
888C2×D59—416no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59#53814yescomplemented
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—22no—
901C4×C59—22no—
902C4×C59—22no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908Dic59—22no—
909Dic59—22no—
910Dic59—41no—
911Dic59—41no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921C2×#538D5911yescharacteristic, complemented
922C22×C4×D4—591no—
923#2852—591no—
924#2850—591no—
925#2849—591no—
926#2847—591no—
927#2636—591no—
928#2635—591no—
929#2631—591no—
930#2630—591no—
931#2481—591no—
932#2472—591no—
933#2467—591no—
934#2459—591no—
935#2456—591no—
936#2456—591no—
937#2450—591no—
938#2444—591no—
939#2443—591no—
940#2437—591no—
941#2424—591no—
942#2424—591no—
943#2418—591no—
944#2410—591no—
945#2410—591no—
946#2403—591no—
947#2325—591no—
948#2321—591no—
949#2318—591no—
950C4×#120—591no—
951C2×#386—591no—
952C2×C59—24no—
953C2×C59—42no—
954C2×C59—81no—
955C2×C59—81no—
956C2×C59—81no—
957C2×C59C2×#52511yescharacteristic
958C2×C59C2×#53811yescharacteristic
959C2×C59#345911yescharacteristic
960C2×C59#348411yescharacteristic
961C2×C59#348811yescharacteristic
962C2×C59#351311yescharacteristic
963C2×C59#351911yescharacteristic
964D59—24no—
965D59—42no—
966D59—42no—
967C23×D4—591no—
968C23×D4—591no—
969C24×C4—591no—
970C24×C4—591no—
971#538—28no—
972C2×#126C2×D5911yescharacteristic, complemented
973C2×#126C2×D5911yescharacteristic, complemented
974C2×#124C2×D5911yescharacteristic, complemented
975C2×#124C2×D5911yescharacteristic, complemented
976C2×#123—591no—
977C2×#123C2×D5911yescharacteristic, complemented
978C2×#123C2×D5911yescharacteristic, complemented
979C2×C22⋊Q8—591no—
980C2×C22⋊Q8C2×D5911yescharacteristic, complemented
981C2×#121—591no—
982C2×#121—591no—
983C2×#121—591no—
984C2×#121—591no—
985C2×#121C2×D5911yescharacteristic
986C2×#121C2×D5911yescharacteristic, complemented
987C2×#121C2×D5911yescharacteristic, complemented
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120—591no—
992C2×#120—591no—
993C2×#120C2×D5911yescharacteristic
994C2×#120C2×D5911yescharacteristic, complemented
995C2×C4×D4—591no—
996C2×C4×D4—591no—
997C2×C4×D4—591no—
998C2×C4×D4—591no—
999C2×C4×D4—591no—
1000C2×C4×D4—591no—
1001C2×C4×D4—591no—
1002C2×C4×D4—591no—
1003C2×C4×D4—591no—
1004C2×C4×D4—1188no—
1005C2×C4×D4C2×D5911yescharacteristic
1006C2×C4×D4C2×D5911yescharacteristic, complemented
1007C22×C4⋊C4—591no—
1008C22×C22⋊C4—591no—
1009C22×C22⋊C4—591no—
1010C22×C22⋊C4—591no—
1011C22×C22⋊C4—591no—
1012C22×C22⋊C4C2×D5911yescharacteristic, complemented
1013C22×C42—591no—
1014#400—591no—
1015#400—591no—
1016#399—591no—
1017#399—591no—
1018#398—591no—
1019#397—591no—
1020#397—591no—
1021#397—591no—
1022#396—591no—
1023#396—591no—
1024#396—591no—
1025#396—591no—
1026#394—591no—
1027#394—591no—
1028#394—591no—
1029#394—591no—
1030#394—591no—
1031#394—591no—
1032#394—591no—
1033#394—591no—
1034#394—591no—
1035#393—591no—
1036#393—591no—
1037#392—591no—
1038#392—591no—
1039#392—591no—
1040#392—591no—
1041#392—591no—
1042#392—591no—
1043#392—591no—
1044#392—591no—
1045#392—591no—
1046#391—591no—
1047#390—591no—
1048#390—591no—
1049#390—591no—
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388—591no—
1059#388—591no—
1060#388—591no—
1061#388—591no—
1062#387—591no—
1063#387—591no—
1064#387—591no—
1065#387—591no—
1066#387—591no—
1067#387—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386—591no—
1074#386—591no—
1075#386—591no—
1076#386—591no—
1077#386—591no—
1078#386—591no—
1079#386—591no—
1080#386—591no—
1081#386—591no—
1082#386—591no—
1083#386—591no—
1084#386—591no—
1085#386—591no—
1086#386—591no—
1087#386—591no—
1088#386—591no—
1089#386—591no—
1090#386—591no—
1091#386—591no—
1092#386—591no—
1093#386—591no—
1094#386—591no—
1095#386—591no—
1096#385—591no—
1097#385—591no—
1098#385—591no—
1099#385—591no—
1100#385—591no—
1101#385—591no—
1102#385—591no—
1103#385—591no—
1104#385—591no—
1105#385—591no—
1106#385—591no—
1107#385—591no—
1108#383—591no—
1109#382—591no—
1110#381—591no—
1111#381—591no—
1112#380—591no—
1113#380—591no—
1114#380—591no—
1115#380—591no—
1116#379—591no—
1117#379—591no—
1118#379—591no—
1119C4×C22⋊C4—591no—
1120C4×C22⋊C4—591no—
1121C4×C22⋊C4—591no—
1122C2×#95—591no—
1123C2×#95—591no—
1124C59#3499011yescharacteristic, complemented, Sylow
1125C25—591no—
1126C25—591no—
1127C25C22×D5911yescharacteristic
1128C22×Q8C22×D5911yescharacteristic
1129C22×D4—591no—
1130C22×D4—591no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—1184no—
1142C22×D4—1184no—
1143C22×D4—1184no—
1144C22×D4—1184no—
1145C22×D4—2362no—
1146C22×D4—2362no—
1147C22×D4C22×D5911yescharacteristic
1148C22×D4C22×D5911yescharacteristic
1149C22×D4C22×D5911yescharacteristic
1150C22×D4C22×D5911yescharacteristic
1151C22×D4C22×D5911yescharacteristic
1152C22×D4C22×D5911yescharacteristic
1153C22×D4C22×D5911yescharacteristic
1154C23×C4—591no—
1155C23×C4—591no—
1156C23×C4—591no—
1157C23×C4—591no—
1158C23×C4—591no—
1159C23×C4—591no—
1160C23×C4—591no—
1161C23×C4—591no—
1162C23×C4—591no—
1163C23×C4—591no—
1164C23×C4—591no—
1165C23×C4—591no—
1166C23×C4—591no—
1167C23×C4—1184no—
1168C23×C4—1184no—
1169C23×C4—2362no—
1170C23×C4—2362no—
1171C23×C4—2362no—
1172C23×C4—2362no—
1173C23×C4C22×D5911yescharacteristic
1174C23×C4C22×D5911yescharacteristic
1175C23×C4C22×D5911yescharacteristic
1176C23×C4C22×D5911yescharacteristic
1177#126—24no—
1178#126—24no—
1179#124—24no—
1180#124—24no—
1181#123—24no—
1182#123—24no—
1183#123—2362no—
1184C22⋊Q8—24no—
1185C22⋊Q8—2362no—
1186#121—24no—
1187#121—24no—
1188#121—24no—
1189#121—1184no—
1190#121—2362no—
1191#121—2362no—
1192#121—2362no—
1193#120—24no—
1194#120—24no—
1195#120—1184no—
1196#120—1184no—
1197#120—2362no—
1198#120—2362no—
1199#120—2362no—
1200C4×D4—24no—
1201C4×D4—1184no—
1202C4×D4—1184no—
1203C4×D4—1184no—
1204C4×D4—1184no—
1205C4×D4—1184no—
1206C4×D4—1184no—
1207C4×D4—1184no—
1208C4×D4—2362no—
1209C4×D4—2362no—
1210C4×D4C22⋊D5918yescomplemented
1211C2×C4⋊C4—591no—
1212C2×C4⋊C4—591no—
1213C2×C4⋊C4—591no—
1214C2×C4⋊C4—591no—
1215C2×C4⋊C4—591no—
1216C2×C4⋊C4—591no—
1217C2×C4⋊C4—591no—
1218C2×C4⋊C4—591no—
1219C2×C4⋊C4—591no—
1220C2×C4⋊C4—591no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—1184no—
1226C2×C4⋊C4C22×D5911yescharacteristic
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C4⋊C4C22×D5911yescharacteristic
1229C2×C4⋊C4C22×D5911yescharacteristic
1230C2×C4⋊C4C22×D5911yescharacteristic
1231C2×C4⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—591no—
1255C2×C22⋊C4—591no—
1256C2×C22⋊C4—591no—
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—591no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—1184no—
1276C2×C22⋊C4—1184no—
1277C2×C22⋊C4—2362no—
1278C2×C22⋊C4—2362no—
1279C2×C22⋊C4C22×D5911yescharacteristic
1280C2×C22⋊C4C22×D5911yescharacteristic
1281C2×C22⋊C4C22×D5911yescharacteristic
1282C2×C22⋊C4C22×D5911yescharacteristic
1283C2×C22⋊C4C22×D5911yescharacteristic
1284C2×C22⋊C4C22×D5911yescharacteristic
1285C2×C22⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4C22×D5911yescharacteristic
1287C2×C22⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4C22×D5911yescharacteristic
1289C2×C22⋊C4C22×D5911yescharacteristic
1290C2×C22⋊C4C22×D5911yescharacteristic
1291C2×C22⋊C4C22×D5911yescharacteristic
1292C2×C22⋊C4C22×D5911yescharacteristic
1293C2×C42—591no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—591no—
1298C2×C42—1184no—
1299C2×C42C22×D5911yescharacteristic
1300C2×C42C22×D5911yescharacteristic
1301#95—591no—
1302#95—591no—
1303#95—591no—
1304#95—591no—
1305#95—591no—
1306#95—591no—
1307#95—591no—
1308#95—591no—
1309#95—591no—
1310#95—591no—
1311#95—591no—
1312#95—591no—
1313#95—591no—
1314#95—591no—
1315#95—591no—
1316#95—591no—
1317#95—591no—
1318#95—591no—
1319#95—591no—
1320#95—591no—
1321#95—591no—
1322#95—591no—
1323#95—591no—
1324#95—591no—
1325#95—591no—
1326#95—591no—
1327#95—591no—
1328#95—591no—
1329#95—591no—
1330#95—591no—
1331#95—591no—
1332#95—591no—
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—41no—
1337C24—41no—
1338C24—41no—
1339C24—41no—
1340C24—591no—
1341C24—591no—
1342C24—591no—
1343C24—594no—
1344C24—1182no—
1345C24—1182no—
1346C24—1182no—
1347C24—1182no—
1348C24—1182no—
1349C24—1182no—
1350C24—1182no—
1351C24—1182no—
1352C24—1182no—
1353C24—2361no—
1354C24—2361no—
1355C24—2361no—
1356C24—2361no—
1357C24C23×D5911yescharacteristic
1358C24C23×D5911yescharacteristic
1359C24C23×D5911yescharacteristic
1360C24C23×D5911yescharacteristic
1361C24C23×D5911yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—594no—
1386C2×D4—1182no—
1387C2×D4—1182no—
1388C2×D4—1182no—
1389C2×D4—11832no—
1390C2×D4—1182no—
1391C2×D4—1182no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1182no—
1409C2×D4—1182no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—2361no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2361no—
1419C2×D4—2361no—
1420C2×D4—2361no—
1421C2×D4—2361no—
1422C2×D4—23616no—
1423C2×D4C2×C22⋊D5914yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—1182no—
1448C22×C4—1182no—
1449C22×C4—1182no—
1450C22×C4—1182no—
1451C22×C4—1182no—
1452C22×C4—1182no—
1453C22×C4—1182no—
1454C22×C4—1182no—
1455C22×C4—1182no—
1456C22×C4—1182no—
1457C22×C4—1182no—
1458C22×C4—1182no—
1459C22×C4—1182no—
1460C22×C4—1182no—
1461C22×C4—1182no—
1462C22×C4—1182no—
1463C22×C4—1182no—
1464C22×C4—1182no—
1465C22×C4—1182no—
1466C22×C4—1182no—
1467C22×C4—1182no—
1468C22×C4—1182no—
1469C22×C4—1182no—
1470C22×C4—1182no—
1471C22×C4—2361no—
1472C22×C4—2361no—
1473C22×C4—2361no—
1474C22×C4—2361no—
1475C22×C4—2361no—
1476C22×C4—2361no—
1477C22×C4—2361no—
1478C22×C4—2361no—
1479C22×C4—2361no—
1480C22×C4—23616no—
1481C22×C4—23616no—
1482C22×C4—2361no—
1483C22×C4—2361no—
1484C22×C4—2361no—
1485C22×C4—2361no—
1486C22×C4—2361no—
1487C22×C4—2361no—
1488C22×C4C2×C22⋊D5914yes—
1489C22×C4C2×C22⋊D5914yescomplemented
1490C22×C4C23×D5911yescharacteristic
1491C22×C4C23×D5911yescharacteristic
1492C22×C4C23×D5911yescharacteristic
1493C22×C4C23×D5911yescharacteristic
1494C22×C4C23×D5911yescharacteristic
1495C22×C4C23×D5911yescharacteristic
1496C22×C4C23×D5911yescharacteristic
1497C22×C4C23×D5911yescharacteristic
1498C22×C4C23×D5911yescharacteristic
1499C22×C4C23×D5911yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—2361no—
1511C4⋊C4—2361no—
1512C4⋊C4—2361no—
1513C4⋊C4—2361no—
1514C4⋊C4—2361no—
1515C4⋊C4—2361no—
1516C4⋊C4—2361no—
1517C4⋊C4—2361no—
1518C4⋊C4—2361no—
1519C4⋊C4C2×C22⋊D5914yescomplemented
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—22no—
1531C22⋊C4—22no—
1532C22⋊C4—1182no—
1533C22⋊C4—1182no—
1534C22⋊C4—1182no—
1535C22⋊C4—1182no—
1536C22⋊C4—1182no—
1537C22⋊C4—1182no—
1538C22⋊C4—1182no—
1539C22⋊C4—1182no—
1540C22⋊C4—1182no—
1541C22⋊C4—1182no—
1542C22⋊C4—1182no—
1543C22⋊C4—1182no—
1544C22⋊C4—1182no—
1545C22⋊C4—1182no—
1546C22⋊C4—1182no—
1547C22⋊C4—1182no—
1548C22⋊C4—1182no—
1549C22⋊C4—1182no—
1550C22⋊C4—1182no—
1551C22⋊C4—1182no—
1552C22⋊C4—1182no—
1553C22⋊C4—2361no—
1554C22⋊C4—2361no—
1555C22⋊C4—2361no—
1556C22⋊C4—2361no—
1557C22⋊C4—2361no—
1558C22⋊C4—2361no—
1559C22⋊C4—2361no—
1560C22⋊C4—2361no—
1561C22⋊C4—2361no—
1562C22⋊C4—2361no—
1563C22⋊C4—2361no—
1564C22⋊C4—2361no—
1565C22⋊C4—2361no—
1566C22⋊C4—2361no—
1567C22⋊C4—2361no—
1568C22⋊C4—2361no—
1569C22⋊C4—2361no—
1570C22⋊C4—2361no—
1571C22⋊C4—2361no—
1572C22⋊C4—2361no—
1573C22⋊C4—2361no—
1574C22⋊C4C2×C22⋊D5914yes—
1575C22⋊C4C2×C22⋊D5914yescomplemented
1576C42—22no—
1577C42—1182no—
1578C42—1182no—
1579C42—1182no—
1580C42—2361no—
1581C42—2361no—
1582C42C2×C22⋊D5914yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—82no—
1618C23—82no—
1619C23—82no—
1620C23—82no—
1621C23—592no—
1622C23—592no—
1623C23—592no—
1624C23—592no—
1625C23—592no—
1626C23—1188no—
1627C23—1188no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1188no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—1181no—
1641C23—1181no—
1642C23—1181no—
1643C23—1181no—
1644C23—1181no—
1645C23—2364no—
1646C23—2364no—
1647C23—2364no—
1648C23—2364no—
1649C23—2364no—
1650C23—2364no—
1651C23—2364no—
1652C23—2364no—
1653C23—2364no—
1654C23—2364no—
1655C23—2364no—
1656C23C22×C22⋊D5912yes—
1657C23C22×C22⋊D5912yes—
1658C23#41×D5912yes—
1659C23#41×D5912yes—
1660C23C24×D5911yescharacteristic
1661Q8—82no—
1662D4—28no—
1663D4—44no—
1664D4—82no—
1665D4—82no—
1666D4—82no—
1667D4—82no—
1668D4—82no—
1669D4—1188no—
1670D4—1188no—
1671D4—1188no—
1672D4—4722no—
1673D4—4722no—
1674D4—4722no—
1675D4—2364no—
1676D4—2364no—
1677D4—2364no—
1678D4—2364no—
1679D4—2364no—
1680D4—2364no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—82no—
1709C2×C4—82no—
1710C2×C4—592no—
1711C2×C4—592no—
1712C2×C4—1188no—
1713C2×C4—1188no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—1181no—
1750C2×C4—1181no—
1751C2×C4—4722no—
1752C2×C4—2364no—
1753C2×C4—2364no—
1754C2×C4—2364no—
1755C2×C4—2364no—
1756C2×C4—2364no—
1757C2×C4—2364no—
1758C2×C4—2364no—
1759C2×C4—2364no—
1760C2×C4—2364no—
1761C2×C4—2364no—
1762C2×C4C22×C22⋊D5912yes—
1763C2×C4C22×C22⋊D5912yes—
1764C2×C4C22×C22⋊D5912yes—
1765C2×C4C22×C22⋊D5912yes—
1766C2×C4C22×C22⋊D5912yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—88no—
1802C22—594no—
1803C22—1182no—
1804C22—1182no—
1805C22—1182no—
1806C22—1182no—
1807C22—1182no—
1808C22—1182no—
1809C22—1182no—
1810C22—1182no—
1811C22—1182no—
1812C22—1182no—
1813C22—1182no—
1814C22—1182no—
1815C22—23616no—
1816C22—23616no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22#1683790914yes—
1826C22C23×C22⋊D5911yescharacteristic
1827C22C2×#41×D5911yescharacteristic
1828C22C2×#41×D5911yescharacteristic
1829C22H(5,𝔽2)×D5911yescharacteristic
1830C22H(5,𝔽2)×D5911yescharacteristic
1831C22H(5,𝔽2)×D5911yescharacteristic
1832C22#1683823711yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—1182no—
1844C4—1182no—
1845C4—2361no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C2—24no—
1857C2—42no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—1184no—
1862C2—2362no—
1863C2—2362no—
1864C2C2×#1683790911yescharacteristic
1865C2#538×D5911yescharacteristic
1866C2#2143750711yescharacteristic
1867C2#2143772711yescharacteristic
1868C2#2143775811yescharacteristic
1869C2#2143803211yescharacteristic
1870C2#2143812011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC2×C59×#538C2
hypercenterC2×#538D59
hypocenterC59#34990
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D59C2semidirect
2. #21432408C2semidirect
3. #21432392C2semidirect
4. #21432385C2semidirect
5. #21432375C2semidirect
6. #21429993C2semidirect
7. #21429981C2semidirect
8. #21429949C2semidirect
9. #21429935C2semidirect
10. #21428353C2semidirect
11. #21428218C2semidirect
12. #21428143C2semidirect
13. #21428029C2semidirect
14. #21427993C2semidirect
15. #21427984C2semidirect
16. #21427916C2semidirect
17. #21427842C2semidirect
18. #21427828C2semidirect
19. #21427759C2semidirect
20. #21427629C2semidirect
21. #21427628C2semidirect
22. #21427554C2semidirect
23. #21427467C2semidirect
24. #21427466C2semidirect
25. #21427407C2semidirect
26. #21426794C2semidirect
27. #21426754C2semidirect
28. #21426729C2semidirect
29. C4×#14273695C2semidirect
30. C2×#16837278C2semidirect
31. C2×C59×#538C2semidirect
35. C23×C4×D59C22semidirect
36. C2×#14273708C22semidirect
37. C2×#14273703C22semidirect
41. C2×#14273698C22semidirect
46. C2×#14273695C22semidirect
47. C2×C4×D236C22semidirect
49. C2×#14273689C22semidirect
51. C2×C4×C22⋊D59C22semidirect
52. C2×C4×C22⋊D59C22semidirect
53. C2×C4×C22⋊D59C22semidirect
55. C2×(C22⋊D59)⋊C4C22semidirect
57. C2×C4⋊C4×D59C22semidirect
58. C22×C22⋊Dic59C22semidirect
61. C2×C22⋊C4×D59C22semidirect
62. C2×C42×D59C22semidirect
63. #16837341C22semidirect
64. #16837340C22semidirect
65. #16837338C22semidirect
66. #16837337C22semidirect
67. #16837335C22semidirect
68. #16837330C22semidirect
69. #16837327C22semidirect
70. #16837327C22semidirect
71. #16837325C22semidirect
72. #16837324C22semidirect
73. #16837324C22semidirect
74. #16837324C22semidirect
75. #16837319C22semidirect
76. #16837318C22semidirect
77. #16837318C22semidirect
78. #16837318C22semidirect
79. #16837317C22semidirect
80. #16837316C22semidirect
81. #16837316C22semidirect
82. #16837316C22semidirect
83. #16837316C22semidirect
84. #16837313C22semidirect
85. #16837313C22semidirect
88. #16837311C22semidirect
91. #16837310C22semidirect
92. #16837310C22semidirect
93. #16837310C22semidirect
94. #16837310C22semidirect
95. #16837309C22semidirect
96. #16837305C22semidirect
97. #16837302C22semidirect
98. #16837302C22semidirect
99. #16837296C22semidirect
100. #16837296C22semidirect
101. #16837295C22semidirect
102. #16837295C22semidirect
103. #16837293C22semidirect
104. #16837290C22semidirect
105. #16837290C22semidirect
106. #16837290C22semidirect
107. #16837290C22semidirect
108. #16837290C22semidirect
109. #16837290C22semidirect
110. #16837290C22semidirect
111. #16837288C22semidirect
112. #16837288C22semidirect
113. #16837286C22semidirect
114. #16837283C22semidirect
115. #16837283C22semidirect
116. #16837283C22semidirect
119. #16837282C22semidirect
120. #16837282C22semidirect
121. #16837282C22semidirect
122. #16837282C22semidirect
124. #16837281C22semidirect
134. #16837278C22semidirect
135. #16837278C22semidirect
136. #16837278C22semidirect
137. #16837278C22semidirect
138. #16837278C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
141. #16837278C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837277C22semidirect
146. #16837277C22semidirect
147. #16837275C22semidirect
148. #16837275C22semidirect
149. #16837274C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837273C22semidirect
156. #16837273C22semidirect
157. #16837270C22semidirect
158. #16837268C22semidirect
159. #16837265C22semidirect
160. #16837263C22semidirect
161. #16837262C22semidirect
162. #16837260C22semidirect
163. #16837259C22semidirect
164. #16837259C22semidirect
165. #16837258C22semidirect
167. #16837257C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
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×#124×C59C22semidirect
177. C2×#124×C59C22semidirect
178. C2×#123×C59C22semidirect
179. C2×#123×C59C22semidirect
180. C2×C22⋊Q8×C59C22semidirect
182. C2×#121×C59C22semidirect
183. C2×#121×C59C22semidirect
185. C2×#120×C59C22semidirect
187. C2×C4×D4×C59C22semidirect
188. C22×C22⋊C4×C59C22semidirect
373. C4×D4×C59D4semidirect
461. C22×C4×C59C2×D4semidirect
569. C4⋊C4×C59C2×D4semidirect
583. C22⋊C4×C59C2×D4semidirect
585. C42×C59C2×D4semidirect
897. C2×D59#538semidirect
921. C2×#538D59semidirect
972. C2×#126C2×D59semidirect
973. C2×#126C2×D59semidirect
974. C2×#124C2×D59semidirect
975. C2×#124C2×D59semidirect
977. C2×#123C2×D59semidirect
978. C2×#123C2×D59semidirect
980. C2×C22⋊Q8C2×D59semidirect
986. C2×#121C2×D59semidirect
987. C2×#121C2×D59semidirect
994. C2×#120C2×D59semidirect
1006. C2×C4×D4C2×D59semidirect
1012. C22×C22⋊C4C2×D59semidirect
1124. C59#34990semidirect
1210. C4×D4C22⋊D59semidirect
1489. C22×C4C2×C22⋊D59semidirect
1519. C4⋊C4C2×C22⋊D59semidirect
1575. C22⋊C4C2×C22⋊D59semidirect
1582. C42C2×C22⋊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
#214323922
#214323852
#214323752
#214299932
#214299812
#214299492
#214299352
#214283532
#214282182
#214281432
#214280292
#214279932
#214279842
#214279162
#214278422
#214278282
#214277592
#214276292
#214276282
#214275542
#214274672
#214274662
#214274072
#214267942
#214267542
#214267292
C4×#142736952
C2×#168372782
C2×C59×#5382
#3499059